%------------------------------------------------------------------------------ % File : NLP008^7 : TPTP v7.2.0. Released v5.5.0. % Domain : Natural Language Processing % Problem : "The old dirty white Chevy" problem 8 % Version : [Ben12] axioms. % English : % Refs : [Goe69] Goedel (1969), An Interpretation of the Intuitionistic % : [Bos00] Bos (2000), DORIS: Discourse Oriented Representation an % : [Ben12] Benzmueller (2012), Email to Geoff Sutcliffe % Source : [Ben12] % Names : s4-cumul-GNL008+1 [Ben12] % Status : CounterSatisfiable % Rating : 0.75 v7.2.0, 0.67 v5.5.0 % Syntax : Number of formulae : 119 ( 0 unit; 56 type; 32 defn) % Number of atoms : 1283 ( 36 equality; 409 variable) % Maximal formula depth : 60 ( 8 average) % Number of connectives : 1153 ( 5 ~; 5 |; 9 &;1124 @) % ( 0 <=>; 10 =>; 0 <=; 0 <~>) % ( 0 ~|; 0 ~&) % Number of type conns : 223 ( 223 >; 0 *; 0 +; 0 <<) % Number of symbols : 60 ( 56 :; 0 =) % Number of variables : 186 ( 2 sgn; 34 !; 7 ?; 145 ^) % ( 186 :; 0 !>; 0 ?*) % ( 0 @-; 0 @+) % SPC : TH0_CSA_EQU_NAR % Comments : Goedel translation of NLP008+1 %------------------------------------------------------------------------------ %----Include axioms for Modal logic S4 under cumulative domains include('Axioms/LCL015^0.ax'). include('Axioms/LCL013^5.ax'). include('Axioms/LCL015^1.ax'). %------------------------------------------------------------------------------ thf(young_type,type,( young: mu > $i > $o )). thf(man_type,type,( man: mu > $i > $o )). thf(fellow_type,type,( fellow: mu > $i > $o )). thf(in_type,type,( in: mu > mu > $i > $o )). thf(down_type,type,( down: mu > mu > $i > $o )). thf(barrel_type,type,( barrel: mu > mu > $i > $o )). thf(old_type,type,( old: mu > $i > $o )). thf(dirty_type,type,( dirty: mu > $i > $o )). thf(white_type,type,( white: mu > $i > $o )). thf(car_type,type,( car: mu > $i > $o )). thf(chevy_type,type,( chevy: mu > $i > $o )). thf(lonely_type,type,( lonely: mu > $i > $o )). thf(way_type,type,( way: mu > $i > $o )). thf(street_type,type,( street: mu > $i > $o )). thf(event_type,type,( event: mu > $i > $o )). thf(city_type,type,( city: mu > $i > $o )). thf(hollywood_type,type,( hollywood: mu > $i > $o )). thf(front_type,type,( front: mu > $i > $o )). thf(furniture_type,type,( furniture: mu > $i > $o )). thf(seat_type,type,( seat: mu > $i > $o )). thf(reflexivity,axiom, ( mvalid @ ( mbox_s4 @ ( mforall_ind @ ^ [X: mu] : ( mbox_s4 @ ( qmltpeq @ X @ X ) ) ) ) )). thf(symmetry,axiom, ( mvalid @ ( mbox_s4 @ ( mforall_ind @ ^ [X: mu] : ( mbox_s4 @ ( mforall_ind @ ^ [Y: mu] : ( mbox_s4 @ ( mimplies @ ( mbox_s4 @ ( qmltpeq @ X @ Y ) ) @ ( mbox_s4 @ ( qmltpeq @ Y @ X ) ) ) ) ) ) ) ) )). thf(transitivity,axiom, ( mvalid @ ( mbox_s4 @ ( mforall_ind @ ^ [X: mu] : ( mbox_s4 @ ( mforall_ind @ ^ [Y: mu] : ( mbox_s4 @ ( mforall_ind @ ^ [Z: mu] : ( mbox_s4 @ ( mimplies @ ( mand @ ( mbox_s4 @ ( qmltpeq @ X @ Y ) ) @ ( mbox_s4 @ ( qmltpeq @ Y @ Z ) ) ) @ ( mbox_s4 @ ( qmltpeq @ X @ Z ) ) ) ) ) ) ) ) ) ) )). thf(barrel_substitution_1,axiom, ( mvalid @ ( mbox_s4 @ ( mforall_ind @ ^ [A: mu] : ( mbox_s4 @ ( mforall_ind @ ^ [B: mu] : ( mbox_s4 @ ( mforall_ind @ ^ [C: mu] : ( mbox_s4 @ ( mimplies @ ( mand @ ( mbox_s4 @ ( qmltpeq @ A @ B ) ) @ ( mbox_s4 @ ( barrel @ A @ C ) ) ) @ ( mbox_s4 @ ( barrel @ B @ C ) ) ) ) ) ) ) ) ) ) )). thf(barrel_substitution_2,axiom, ( mvalid @ ( mbox_s4 @ ( mforall_ind @ ^ [A: mu] : ( mbox_s4 @ ( mforall_ind @ ^ [B: mu] : ( mbox_s4 @ ( mforall_ind @ ^ [C: mu] : ( mbox_s4 @ ( mimplies @ ( mand @ ( mbox_s4 @ ( qmltpeq @ A @ B ) ) @ ( mbox_s4 @ ( barrel @ C @ A ) ) ) @ ( mbox_s4 @ ( barrel @ C @ B ) ) ) ) ) ) ) ) ) ) )). thf(car_substitution_1,axiom, ( mvalid @ ( mbox_s4 @ ( mforall_ind @ ^ [A: mu] : ( mbox_s4 @ ( mforall_ind @ ^ [B: mu] : ( mbox_s4 @ ( mimplies @ ( mand @ ( mbox_s4 @ ( qmltpeq @ A @ B ) ) @ ( mbox_s4 @ ( car @ A ) ) ) @ ( mbox_s4 @ ( car @ B ) ) ) ) ) ) ) ) )). thf(chevy_substitution_1,axiom, ( mvalid @ ( mbox_s4 @ ( mforall_ind @ ^ [A: mu] : ( mbox_s4 @ ( mforall_ind @ ^ [B: mu] : ( mbox_s4 @ ( mimplies @ ( mand @ ( mbox_s4 @ ( qmltpeq @ A @ B ) ) @ ( mbox_s4 @ ( chevy @ A ) ) ) @ ( mbox_s4 @ ( chevy @ B ) ) ) ) ) ) ) ) )). thf(city_substitution_1,axiom, ( mvalid @ ( mbox_s4 @ ( mforall_ind @ ^ [A: mu] : ( mbox_s4 @ ( mforall_ind @ ^ [B: mu] : ( mbox_s4 @ ( mimplies @ ( mand @ ( mbox_s4 @ ( qmltpeq @ A @ B ) ) @ ( mbox_s4 @ ( city @ A ) ) ) @ ( mbox_s4 @ ( city @ B ) ) ) ) ) ) ) ) )). thf(dirty_substitution_1,axiom, ( mvalid @ ( mbox_s4 @ ( mforall_ind @ ^ [A: mu] : ( mbox_s4 @ ( mforall_ind @ ^ [B: mu] : ( mbox_s4 @ ( mimplies @ ( mand @ ( mbox_s4 @ ( qmltpeq @ A @ B ) ) @ ( mbox_s4 @ ( dirty @ A ) ) ) @ ( mbox_s4 @ ( dirty @ B ) ) ) ) ) ) ) ) )). thf(down_substitution_1,axiom, ( mvalid @ ( mbox_s4 @ ( mforall_ind @ ^ [A: mu] : ( mbox_s4 @ ( mforall_ind @ ^ [B: mu] : ( mbox_s4 @ ( mforall_ind @ ^ [C: mu] : ( mbox_s4 @ ( mimplies @ ( mand @ ( mbox_s4 @ ( qmltpeq @ A @ B ) ) @ ( mbox_s4 @ ( down @ A @ C ) ) ) @ ( mbox_s4 @ ( down @ B @ C ) ) ) ) ) ) ) ) ) ) )). thf(down_substitution_2,axiom, ( mvalid @ ( mbox_s4 @ ( mforall_ind @ ^ [A: mu] : ( mbox_s4 @ ( mforall_ind @ ^ [B: mu] : ( mbox_s4 @ ( mforall_ind @ ^ [C: mu] : ( mbox_s4 @ ( mimplies @ ( mand @ ( mbox_s4 @ ( qmltpeq @ A @ B ) ) @ ( mbox_s4 @ ( down @ C @ A ) ) ) @ ( mbox_s4 @ ( down @ C @ B ) ) ) ) ) ) ) ) ) ) )). thf(event_substitution_1,axiom, ( mvalid @ ( mbox_s4 @ ( mforall_ind @ ^ [A: mu] : ( mbox_s4 @ ( mforall_ind @ ^ [B: mu] : ( mbox_s4 @ ( mimplies @ ( mand @ ( mbox_s4 @ ( qmltpeq @ A @ B ) ) @ ( mbox_s4 @ ( event @ A ) ) ) @ ( mbox_s4 @ ( event @ B ) ) ) ) ) ) ) ) )). thf(fellow_substitution_1,axiom, ( mvalid @ ( mbox_s4 @ ( mforall_ind @ ^ [A: mu] : ( mbox_s4 @ ( mforall_ind @ ^ [B: mu] : ( mbox_s4 @ ( mimplies @ ( mand @ ( mbox_s4 @ ( qmltpeq @ A @ B ) ) @ ( mbox_s4 @ ( fellow @ A ) ) ) @ ( mbox_s4 @ ( fellow @ B ) ) ) ) ) ) ) ) )). thf(front_substitution_1,axiom, ( mvalid @ ( mbox_s4 @ ( mforall_ind @ ^ [A: mu] : ( mbox_s4 @ ( mforall_ind @ ^ [B: mu] : ( mbox_s4 @ ( mimplies @ ( mand @ ( mbox_s4 @ ( qmltpeq @ A @ B ) ) @ ( mbox_s4 @ ( front @ A ) ) ) @ ( mbox_s4 @ ( front @ B ) ) ) ) ) ) ) ) )). thf(furniture_substitution_1,axiom, ( mvalid @ ( mbox_s4 @ ( mforall_ind @ ^ [A: mu] : ( mbox_s4 @ ( mforall_ind @ ^ [B: mu] : ( mbox_s4 @ ( mimplies @ ( mand @ ( mbox_s4 @ ( qmltpeq @ A @ B ) ) @ ( mbox_s4 @ ( furniture @ A ) ) ) @ ( mbox_s4 @ ( furniture @ B ) ) ) ) ) ) ) ) )). thf(hollywood_substitution_1,axiom, ( mvalid @ ( mbox_s4 @ ( mforall_ind @ ^ [A: mu] : ( mbox_s4 @ ( mforall_ind @ ^ [B: mu] : ( mbox_s4 @ ( mimplies @ ( mand @ ( mbox_s4 @ ( qmltpeq @ A @ B ) ) @ ( mbox_s4 @ ( hollywood @ A ) ) ) @ ( mbox_s4 @ ( hollywood @ B ) ) ) ) ) ) ) ) )). thf(in_substitution_1,axiom, ( mvalid @ ( mbox_s4 @ ( mforall_ind @ ^ [A: mu] : ( mbox_s4 @ ( mforall_ind @ ^ [B: mu] : ( mbox_s4 @ ( mforall_ind @ ^ [C: mu] : ( mbox_s4 @ ( mimplies @ ( mand @ ( mbox_s4 @ ( qmltpeq @ A @ B ) ) @ ( mbox_s4 @ ( in @ A @ C ) ) ) @ ( mbox_s4 @ ( in @ B @ C ) ) ) ) ) ) ) ) ) ) )). thf(in_substitution_2,axiom, ( mvalid @ ( mbox_s4 @ ( mforall_ind @ ^ [A: mu] : ( mbox_s4 @ ( mforall_ind @ ^ [B: mu] : ( mbox_s4 @ ( mforall_ind @ ^ [C: mu] : ( mbox_s4 @ ( mimplies @ ( mand @ ( mbox_s4 @ ( qmltpeq @ A @ B ) ) @ ( mbox_s4 @ ( in @ C @ A ) ) ) @ ( mbox_s4 @ ( in @ C @ B ) ) ) ) ) ) ) ) ) ) )). thf(lonely_substitution_1,axiom, ( mvalid @ ( mbox_s4 @ ( mforall_ind @ ^ [A: mu] : ( mbox_s4 @ ( mforall_ind @ ^ [B: mu] : ( mbox_s4 @ ( mimplies @ ( mand @ ( mbox_s4 @ ( qmltpeq @ A @ B ) ) @ ( mbox_s4 @ ( lonely @ A ) ) ) @ ( mbox_s4 @ ( lonely @ B ) ) ) ) ) ) ) ) )). thf(man_substitution_1,axiom, ( mvalid @ ( mbox_s4 @ ( mforall_ind @ ^ [A: mu] : ( mbox_s4 @ ( mforall_ind @ ^ [B: mu] : ( mbox_s4 @ ( mimplies @ ( mand @ ( mbox_s4 @ ( qmltpeq @ A @ B ) ) @ ( mbox_s4 @ ( man @ A ) ) ) @ ( mbox_s4 @ ( man @ B ) ) ) ) ) ) ) ) )). thf(old_substitution_1,axiom, ( mvalid @ ( mbox_s4 @ ( mforall_ind @ ^ [A: mu] : ( mbox_s4 @ ( mforall_ind @ ^ [B: mu] : ( mbox_s4 @ ( mimplies @ ( mand @ ( mbox_s4 @ ( qmltpeq @ A @ B ) ) @ ( mbox_s4 @ ( old @ A ) ) ) @ ( mbox_s4 @ ( old @ B ) ) ) ) ) ) ) ) )). thf(seat_substitution_1,axiom, ( mvalid @ ( mbox_s4 @ ( mforall_ind @ ^ [A: mu] : ( mbox_s4 @ ( mforall_ind @ ^ [B: mu] : ( mbox_s4 @ ( mimplies @ ( mand @ ( mbox_s4 @ ( qmltpeq @ A @ B ) ) @ ( mbox_s4 @ ( seat @ A ) ) ) @ ( mbox_s4 @ ( seat @ B ) ) ) ) ) ) ) ) )). thf(street_substitution_1,axiom, ( mvalid @ ( mbox_s4 @ ( mforall_ind @ ^ [A: mu] : ( mbox_s4 @ ( mforall_ind @ ^ [B: mu] : ( mbox_s4 @ ( mimplies @ ( mand @ ( mbox_s4 @ ( qmltpeq @ A @ B ) ) @ ( mbox_s4 @ ( street @ A ) ) ) @ ( mbox_s4 @ ( street @ B ) ) ) ) ) ) ) ) )). thf(way_substitution_1,axiom, ( mvalid @ ( mbox_s4 @ ( mforall_ind @ ^ [A: mu] : ( mbox_s4 @ ( mforall_ind @ ^ [B: mu] : ( mbox_s4 @ ( mimplies @ ( mand @ ( mbox_s4 @ ( qmltpeq @ A @ B ) ) @ ( mbox_s4 @ ( way @ A ) ) ) @ ( mbox_s4 @ ( way @ B ) ) ) ) ) ) ) ) )). thf(white_substitution_1,axiom, ( mvalid @ ( mbox_s4 @ ( mforall_ind @ ^ [A: mu] : ( mbox_s4 @ ( mforall_ind @ ^ [B: mu] : ( mbox_s4 @ ( mimplies @ ( mand @ ( mbox_s4 @ ( qmltpeq @ A @ B ) ) @ ( mbox_s4 @ ( white @ A ) ) ) @ ( mbox_s4 @ ( white @ B ) ) ) ) ) ) ) ) )). thf(young_substitution_1,axiom, ( mvalid @ ( mbox_s4 @ ( mforall_ind @ ^ [A: mu] : ( mbox_s4 @ ( mforall_ind @ ^ [B: mu] : ( mbox_s4 @ ( mimplies @ ( mand @ ( mbox_s4 @ ( qmltpeq @ A @ B ) ) @ ( mbox_s4 @ ( young @ A ) ) ) @ ( mbox_s4 @ ( young @ B ) ) ) ) ) ) ) ) )). thf(co1,conjecture, ( mvalid @ ( mand @ ( mbox_s4 @ ( mimplies @ ( mexists_ind @ ^ [U: mu] : ( mexists_ind @ ^ [V: mu] : ( mexists_ind @ ^ [W: mu] : ( mexists_ind @ ^ [X: mu] : ( mexists_ind @ ^ [Y: mu] : ( mexists_ind @ ^ [Z: mu] : ( mexists_ind @ ^ [X1: mu] : ( mexists_ind @ ^ [X3: mu] : ( mexists_ind @ ^ [X4: mu] : ( mand @ ( mbox_s4 @ ( seat @ U ) ) @ ( mand @ ( mbox_s4 @ ( furniture @ U ) ) @ ( mand @ ( mbox_s4 @ ( front @ U ) ) @ ( mand @ ( mbox_s4 @ ( hollywood @ V ) ) @ ( mand @ ( mbox_s4 @ ( city @ V ) ) @ ( mand @ ( mbox_s4 @ ( event @ W ) ) @ ( mand @ ( mbox_s4 @ ( street @ X ) ) @ ( mand @ ( mbox_s4 @ ( way @ X ) ) @ ( mand @ ( mbox_s4 @ ( lonely @ X ) ) @ ( mand @ ( mbox_s4 @ ( chevy @ Y ) ) @ ( mand @ ( mbox_s4 @ ( car @ Y ) ) @ ( mand @ ( mbox_s4 @ ( white @ Y ) ) @ ( mand @ ( mbox_s4 @ ( dirty @ Y ) ) @ ( mand @ ( mbox_s4 @ ( old @ Y ) ) @ ( mand @ ( mbox_s4 @ ( barrel @ W @ Y ) ) @ ( mand @ ( mbox_s4 @ ( down @ W @ X ) ) @ ( mand @ ( mbox_s4 @ ( in @ W @ V ) ) @ ( mand @ ( mbox_s4 @ ( mnot @ ( mbox_s4 @ ( qmltpeq @ Z @ X1 ) ) ) ) @ ( mand @ ( mbox_s4 @ ( fellow @ Z ) ) @ ( mand @ ( mbox_s4 @ ( man @ Z ) ) @ ( mand @ ( mbox_s4 @ ( young @ Z ) ) @ ( mand @ ( mbox_s4 @ ( fellow @ X1 ) ) @ ( mand @ ( mbox_s4 @ ( man @ X1 ) ) @ ( mand @ ( mbox_s4 @ ( young @ X1 ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ Z @ X3 ) ) @ ( mand @ ( mbox_s4 @ ( in @ X3 @ U ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ X1 @ X4 ) ) @ ( mbox_s4 @ ( in @ X4 @ U ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) @ ( mexists_ind @ ^ [X5: mu] : ( mexists_ind @ ^ [X6: mu] : ( mexists_ind @ ^ [X7: mu] : ( mexists_ind @ ^ [X8: mu] : ( mexists_ind @ ^ [X9: mu] : ( mexists_ind @ ^ [X10: mu] : ( mexists_ind @ ^ [X11: mu] : ( mexists_ind @ ^ [X12: mu] : ( mexists_ind @ ^ [X13: mu] : ( mexists_ind @ ^ [X14: mu] : ( mand @ ( mbox_s4 @ ( seat @ X5 ) ) @ ( mand @ ( mbox_s4 @ ( furniture @ X5 ) ) @ ( mand @ ( mbox_s4 @ ( front @ X5 ) ) @ ( mand @ ( mbox_s4 @ ( hollywood @ X6 ) ) @ ( mand @ ( mbox_s4 @ ( city @ X6 ) ) @ ( mand @ ( mbox_s4 @ ( event @ X7 ) ) @ ( mand @ ( mbox_s4 @ ( chevy @ X8 ) ) @ ( mand @ ( mbox_s4 @ ( car @ X8 ) ) @ ( mand @ ( mbox_s4 @ ( white @ X8 ) ) @ ( mand @ ( mbox_s4 @ ( dirty @ X8 ) ) @ ( mand @ ( mbox_s4 @ ( old @ X8 ) ) @ ( mand @ ( mbox_s4 @ ( street @ X9 ) ) @ ( mand @ ( mbox_s4 @ ( way @ X9 ) ) @ ( mand @ ( mbox_s4 @ ( lonely @ X9 ) ) @ ( mand @ ( mbox_s4 @ ( barrel @ X7 @ X8 ) ) @ ( mand @ ( mbox_s4 @ ( down @ X7 @ X9 ) ) @ ( mand @ ( mbox_s4 @ ( in @ X7 @ X6 ) ) @ ( mand @ ( mbox_s4 @ ( seat @ X12 ) ) @ ( mand @ ( mbox_s4 @ ( furniture @ X12 ) ) @ ( mand @ ( mbox_s4 @ ( front @ X12 ) ) @ ( mand @ ( mbox_s4 @ ( mnot @ ( mbox_s4 @ ( qmltpeq @ X10 @ X11 ) ) ) ) @ ( mand @ ( mbox_s4 @ ( fellow @ X10 ) ) @ ( mand @ ( mbox_s4 @ ( man @ X10 ) ) @ ( mand @ ( mbox_s4 @ ( young @ X10 ) ) @ ( mand @ ( mbox_s4 @ ( fellow @ X11 ) ) @ ( mand @ ( mbox_s4 @ ( man @ X11 ) ) @ ( mand @ ( mbox_s4 @ ( young @ X11 ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ X10 @ X13 ) ) @ ( mand @ ( mbox_s4 @ ( in @ X13 @ X12 ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ X11 @ X14 ) ) @ ( mbox_s4 @ ( in @ X14 @ X5 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) @ ( mbox_s4 @ ( mimplies @ ( mexists_ind @ ^ [X15: mu] : ( mexists_ind @ ^ [X16: mu] : ( mexists_ind @ ^ [X17: mu] : ( mexists_ind @ ^ [X18: mu] : ( mexists_ind @ ^ [X19: mu] : ( mexists_ind @ ^ [X20: mu] : ( mexists_ind @ ^ [X21: mu] : ( mexists_ind @ ^ [X22: mu] : ( mexists_ind @ ^ [X23: mu] : ( mexists_ind @ ^ [X24: mu] : ( mand @ ( mbox_s4 @ ( seat @ X15 ) ) @ ( mand @ ( mbox_s4 @ ( furniture @ X15 ) ) @ ( mand @ ( mbox_s4 @ ( front @ X15 ) ) @ ( mand @ ( mbox_s4 @ ( hollywood @ X16 ) ) @ ( mand @ ( mbox_s4 @ ( city @ X16 ) ) @ ( mand @ ( mbox_s4 @ ( event @ X17 ) ) @ ( mand @ ( mbox_s4 @ ( chevy @ X18 ) ) @ ( mand @ ( mbox_s4 @ ( car @ X18 ) ) @ ( mand @ ( mbox_s4 @ ( white @ X18 ) ) @ ( mand @ ( mbox_s4 @ ( dirty @ X18 ) ) @ ( mand @ ( mbox_s4 @ ( old @ X18 ) ) @ ( mand @ ( mbox_s4 @ ( street @ X19 ) ) @ ( mand @ ( mbox_s4 @ ( way @ X19 ) ) @ ( mand @ ( mbox_s4 @ ( lonely @ X19 ) ) @ ( mand @ ( mbox_s4 @ ( barrel @ X17 @ X18 ) ) @ ( mand @ ( mbox_s4 @ ( down @ X17 @ X19 ) ) @ ( mand @ ( mbox_s4 @ ( in @ X17 @ X16 ) ) @ ( mand @ ( mbox_s4 @ ( seat @ X22 ) ) @ ( mand @ ( mbox_s4 @ ( furniture @ X22 ) ) @ ( mand @ ( mbox_s4 @ ( front @ X22 ) ) @ ( mand @ ( mbox_s4 @ ( mnot @ ( mbox_s4 @ ( qmltpeq @ X20 @ X21 ) ) ) ) @ ( mand @ ( mbox_s4 @ ( fellow @ X20 ) ) @ ( mand @ ( mbox_s4 @ ( man @ X20 ) ) @ ( mand @ ( mbox_s4 @ ( young @ X20 ) ) @ ( mand @ ( mbox_s4 @ ( fellow @ X21 ) ) @ ( mand @ ( mbox_s4 @ ( man @ X21 ) ) @ ( mand @ ( mbox_s4 @ ( young @ X21 ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ X20 @ X23 ) ) @ ( mand @ ( mbox_s4 @ ( in @ X23 @ X22 ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ X21 @ X24 ) ) @ ( mbox_s4 @ ( in @ X24 @ X15 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) @ ( mexists_ind @ ^ [X25: mu] : ( mexists_ind @ ^ [X26: mu] : ( mexists_ind @ ^ [X27: mu] : ( mexists_ind @ ^ [X28: mu] : ( mexists_ind @ ^ [X29: mu] : ( mexists_ind @ ^ [X30: mu] : ( mexists_ind @ ^ [X31: mu] : ( mexists_ind @ ^ [X33: mu] : ( mexists_ind @ ^ [X34: mu] : ( mand @ ( mbox_s4 @ ( seat @ X25 ) ) @ ( mand @ ( mbox_s4 @ ( furniture @ X25 ) ) @ ( mand @ ( mbox_s4 @ ( front @ X25 ) ) @ ( mand @ ( mbox_s4 @ ( hollywood @ X26 ) ) @ ( mand @ ( mbox_s4 @ ( city @ X26 ) ) @ ( mand @ ( mbox_s4 @ ( event @ X27 ) ) @ ( mand @ ( mbox_s4 @ ( street @ X28 ) ) @ ( mand @ ( mbox_s4 @ ( way @ X28 ) ) @ ( mand @ ( mbox_s4 @ ( lonely @ X28 ) ) @ ( mand @ ( mbox_s4 @ ( chevy @ X29 ) ) @ ( mand @ ( mbox_s4 @ ( car @ X29 ) ) @ ( mand @ ( mbox_s4 @ ( white @ X29 ) ) @ ( mand @ ( mbox_s4 @ ( dirty @ X29 ) ) @ ( mand @ ( mbox_s4 @ ( old @ X29 ) ) @ ( mand @ ( mbox_s4 @ ( barrel @ X27 @ X29 ) ) @ ( mand @ ( mbox_s4 @ ( down @ X27 @ X28 ) ) @ ( mand @ ( mbox_s4 @ ( in @ X27 @ X26 ) ) @ ( mand @ ( mbox_s4 @ ( mnot @ ( mbox_s4 @ ( qmltpeq @ X30 @ X31 ) ) ) ) @ ( mand @ ( mbox_s4 @ ( fellow @ X30 ) ) @ ( mand @ ( mbox_s4 @ ( man @ X30 ) ) @ ( mand @ ( mbox_s4 @ ( young @ X30 ) ) @ ( mand @ ( mbox_s4 @ ( fellow @ X31 ) ) @ ( mand @ ( mbox_s4 @ ( man @ X31 ) ) @ ( mand @ ( mbox_s4 @ ( young @ X31 ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ X30 @ X33 ) ) @ ( mand @ ( mbox_s4 @ ( in @ X33 @ X25 ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ X31 @ X34 ) ) @ ( mbox_s4 @ ( in @ X34 @ X25 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )). %------------------------------------------------------------------------------