TSTP Solution File: NLP004^13 by cvc5---1.0.5
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : NLP004^13 : TPTP v8.1.2. Released v8.1.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n014.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Aug 31 09:39:23 EDT 2023
% Result : Theorem 0.20s 0.72s
% Output : Proof 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : NLP004^13 : TPTP v8.1.2. Released v8.1.0.
% 0.00/0.14 % Command : do_cvc5 %s %d
% 0.14/0.35 % Computer : n014.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Thu Aug 24 12:26:33 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.20/0.50 %----Proving TH0
% 0.20/0.50 %------------------------------------------------------------------------------
% 0.20/0.50 % File : NLP004^13 : TPTP v8.1.2. Released v8.1.0.
% 0.20/0.50 % Domain : Natural Language Processing
% 0.20/0.50 % Problem : "The old dirty white Chevy" problem 4
% 0.20/0.50 % Version : [BP13] axioms.
% 0.20/0.50 % English :
% 0.20/0.50
% 0.20/0.50 % Refs : [RO12] Raths & Otten (2012), The QMLTP Problem Library for Fi
% 0.20/0.50 % : [BP13] Benzmueller & Paulson (2013), Quantified Multimodal Lo
% 0.20/0.50 % : [Ste22] Steen (2022), An Extensible Logic Embedding Tool for L
% 0.20/0.50 % Source : [TPTP]
% 0.20/0.50 % Names : NLP004+1 [QMLTP]
% 0.20/0.50
% 0.20/0.50 % Status : Theorem
% 0.20/0.50 % Rating : 0.62 v8.1.0
% 0.20/0.50 % Syntax : Number of formulae : 74 ( 11 unt; 35 typ; 10 def)
% 0.20/0.50 % Number of atoms : 528 ( 10 equ; 0 cnn)
% 0.20/0.50 % Maximal formula atoms : 292 ( 13 avg)
% 0.20/0.50 % Number of connectives : 788 ( 1 ~; 1 |; 4 &; 777 @)
% 0.20/0.50 % ( 1 <=>; 4 =>; 0 <=; 0 <~>)
% 0.20/0.50 % Maximal formula depth : 59 ( 10 avg)
% 0.20/0.50 % Number of types : 3 ( 1 usr)
% 0.20/0.50 % Number of type conns : 105 ( 105 >; 0 *; 0 +; 0 <<)
% 0.20/0.50 % Number of symbols : 35 ( 34 usr; 1 con; 0-3 aty)
% 0.20/0.50 % Number of variables : 130 ( 121 ^; 6 !; 3 ?; 130 :)
% 0.20/0.50 % SPC : TH0_THM_EQU_NAR
% 0.20/0.50
% 0.20/0.50 % Comments : This output was generated by embedproblem, version 1.7.1 (library
% 0.20/0.50 % version 1.3). Generated on Thu Apr 28 13:18:18 EDT 2022 using
% 0.20/0.50 % 'modal' embedding, version 1.5.2. Logic specification used:
% 0.20/0.50 % $modal == [$constants == $rigid,$quantification == $cumulative,
% 0.20/0.50 % $modalities == $modal_system_K].
% 0.20/0.50 %------------------------------------------------------------------------------
% 0.20/0.50 thf(mworld,type,
% 0.20/0.50 mworld: $tType ).
% 0.20/0.50
% 0.20/0.50 thf(mrel_type,type,
% 0.20/0.50 mrel: mworld > mworld > $o ).
% 0.20/0.50
% 0.20/0.50 thf(mactual_type,type,
% 0.20/0.50 mactual: mworld ).
% 0.20/0.50
% 0.20/0.50 thf(mlocal_type,type,
% 0.20/0.50 mlocal: ( mworld > $o ) > $o ).
% 0.20/0.50
% 0.20/0.50 thf(mlocal_def,definition,
% 0.20/0.50 ( mlocal
% 0.20/0.50 = ( ^ [Phi: mworld > $o] : ( Phi @ mactual ) ) ) ).
% 0.20/0.50
% 0.20/0.50 thf(mnot_type,type,
% 0.20/0.50 mnot: ( mworld > $o ) > mworld > $o ).
% 0.20/0.50
% 0.20/0.50 thf(mand_type,type,
% 0.20/0.50 mand: ( mworld > $o ) > ( mworld > $o ) > mworld > $o ).
% 0.20/0.50
% 0.20/0.50 thf(mor_type,type,
% 0.20/0.50 mor: ( mworld > $o ) > ( mworld > $o ) > mworld > $o ).
% 0.20/0.50
% 0.20/0.50 thf(mimplies_type,type,
% 0.20/0.50 mimplies: ( mworld > $o ) > ( mworld > $o ) > mworld > $o ).
% 0.20/0.50
% 0.20/0.50 thf(mequiv_type,type,
% 0.20/0.50 mequiv: ( mworld > $o ) > ( mworld > $o ) > mworld > $o ).
% 0.20/0.50
% 0.20/0.50 thf(mnot_def,definition,
% 0.20/0.50 ( mnot
% 0.20/0.50 = ( ^ [A: mworld > $o,W: mworld] :
% 0.20/0.50 ~ ( A @ W ) ) ) ).
% 0.20/0.50
% 0.20/0.50 thf(mand_def,definition,
% 0.20/0.50 ( mand
% 0.20/0.50 = ( ^ [A: mworld > $o,B: mworld > $o,W: mworld] :
% 0.20/0.50 ( ( A @ W )
% 0.20/0.50 & ( B @ W ) ) ) ) ).
% 0.20/0.50
% 0.20/0.50 thf(mor_def,definition,
% 0.20/0.50 ( mor
% 0.20/0.50 = ( ^ [A: mworld > $o,B: mworld > $o,W: mworld] :
% 0.20/0.50 ( ( A @ W )
% 0.20/0.50 | ( B @ W ) ) ) ) ).
% 0.20/0.50
% 0.20/0.50 thf(mimplies_def,definition,
% 0.20/0.50 ( mimplies
% 0.20/0.50 = ( ^ [A: mworld > $o,B: mworld > $o,W: mworld] :
% 0.20/0.50 ( ( A @ W )
% 0.20/0.50 => ( B @ W ) ) ) ) ).
% 0.20/0.50
% 0.20/0.50 thf(mequiv_def,definition,
% 0.20/0.50 ( mequiv
% 0.20/0.50 = ( ^ [A: mworld > $o,B: mworld > $o,W: mworld] :
% 0.20/0.50 ( ( A @ W )
% 0.20/0.50 <=> ( B @ W ) ) ) ) ).
% 0.20/0.50
% 0.20/0.50 thf(mbox_type,type,
% 0.20/0.50 mbox: ( mworld > $o ) > mworld > $o ).
% 0.20/0.50
% 0.20/0.50 thf(mbox_def,definition,
% 0.20/0.50 ( mbox
% 0.20/0.50 = ( ^ [Phi: mworld > $o,W: mworld] :
% 0.20/0.50 ! [V: mworld] :
% 0.20/0.50 ( ( mrel @ W @ V )
% 0.20/0.50 => ( Phi @ V ) ) ) ) ).
% 0.20/0.50
% 0.20/0.50 thf(mdia_type,type,
% 0.20/0.50 mdia: ( mworld > $o ) > mworld > $o ).
% 0.20/0.50
% 0.20/0.50 thf(mdia_def,definition,
% 0.20/0.50 ( mdia
% 0.20/0.50 = ( ^ [Phi: mworld > $o,W: mworld] :
% 0.20/0.50 ? [V: mworld] :
% 0.20/0.50 ( ( mrel @ W @ V )
% 0.20/0.50 & ( Phi @ V ) ) ) ) ).
% 0.20/0.50
% 0.20/0.50 thf(eiw_di_type,type,
% 0.20/0.50 eiw_di: $i > mworld > $o ).
% 0.20/0.50
% 0.20/0.50 thf(eiw_di_nonempty,axiom,
% 0.20/0.50 ! [W: mworld] :
% 0.20/0.50 ? [X: $i] : ( eiw_di @ X @ W ) ).
% 0.20/0.50
% 0.20/0.50 thf(eiw_di_cumul,axiom,
% 0.20/0.50 ! [W: mworld,V: mworld,X: $i] :
% 0.20/0.50 ( ( ( eiw_di @ X @ W )
% 0.20/0.50 & ( mrel @ W @ V ) )
% 0.20/0.50 => ( eiw_di @ X @ V ) ) ).
% 0.20/0.50
% 0.20/0.50 thf(mforall_di_type,type,
% 0.20/0.50 mforall_di: ( $i > mworld > $o ) > mworld > $o ).
% 0.20/0.50
% 0.20/0.50 thf(mforall_di_def,definition,
% 0.20/0.50 ( mforall_di
% 0.20/0.50 = ( ^ [A: $i > mworld > $o,W: mworld] :
% 0.20/0.50 ! [X: $i] :
% 0.20/0.50 ( ( eiw_di @ X @ W )
% 0.20/0.50 => ( A @ X @ W ) ) ) ) ).
% 0.20/0.50
% 0.20/0.50 thf(mexists_di_type,type,
% 0.20/0.50 mexists_di: ( $i > mworld > $o ) > mworld > $o ).
% 0.20/0.50
% 0.20/0.50 thf(mexists_di_def,definition,
% 0.20/0.50 ( mexists_di
% 0.20/0.50 = ( ^ [A: $i > mworld > $o,W: mworld] :
% 0.20/0.50 ? [X: $i] :
% 0.20/0.50 ( ( eiw_di @ X @ W )
% 0.20/0.50 & ( A @ X @ W ) ) ) ) ).
% 0.20/0.50
% 0.20/0.50 thf(chevy_decl,type,
% 0.20/0.50 chevy: $i > mworld > $o ).
% 0.20/0.50
% 0.20/0.50 thf(dirty_decl,type,
% 0.20/0.50 dirty: $i > mworld > $o ).
% 0.20/0.50
% 0.20/0.50 thf(barrel_decl,type,
% 0.20/0.50 barrel: $i > $i > mworld > $o ).
% 0.20/0.50
% 0.20/0.50 thf(hollywood_decl,type,
% 0.20/0.50 hollywood: $i > mworld > $o ).
% 0.20/0.50
% 0.20/0.50 thf(city_decl,type,
% 0.20/0.50 city: $i > mworld > $o ).
% 0.20/0.50
% 0.20/0.50 thf(in_decl,type,
% 0.20/0.50 in: $i > $i > mworld > $o ).
% 0.20/0.50
% 0.20/0.50 thf(young_decl,type,
% 0.20/0.50 young: $i > mworld > $o ).
% 0.20/0.50
% 0.20/0.50 thf(old_decl,type,
% 0.20/0.50 old: $i > mworld > $o ).
% 0.20/0.50
% 0.20/0.50 thf(down_decl,type,
% 0.20/0.50 down: $i > $i > mworld > $o ).
% 0.20/0.50
% 0.20/0.50 thf(way_decl,type,
% 0.20/0.50 way: $i > mworld > $o ).
% 0.20/0.50
% 0.20/0.50 thf(qmltpeq_decl,type,
% 0.20/0.50 qmltpeq: $i > $i > mworld > $o ).
% 0.20/0.50
% 0.20/0.50 thf(seat_decl,type,
% 0.20/0.50 seat: $i > mworld > $o ).
% 0.20/0.50
% 0.20/0.50 thf(white_decl,type,
% 0.20/0.50 white: $i > mworld > $o ).
% 0.20/0.50
% 0.20/0.50 thf(car_decl,type,
% 0.20/0.50 car: $i > mworld > $o ).
% 0.20/0.50
% 0.20/0.50 thf(furniture_decl,type,
% 0.20/0.50 furniture: $i > mworld > $o ).
% 0.20/0.50
% 0.20/0.50 thf(street_decl,type,
% 0.20/0.50 street: $i > mworld > $o ).
% 0.20/0.50
% 0.20/0.50 thf(fellow_decl,type,
% 0.20/0.50 fellow: $i > mworld > $o ).
% 0.20/0.50
% 0.20/0.50 thf(front_decl,type,
% 0.20/0.50 front: $i > mworld > $o ).
% 0.20/0.50
% 0.20/0.50 thf(man_decl,type,
% 0.20/0.50 man: $i > mworld > $o ).
% 0.20/0.50
% 0.20/0.50 thf(event_decl,type,
% 0.20/0.50 event: $i > mworld > $o ).
% 0.20/0.50
% 0.20/0.50 thf(lonely_decl,type,
% 0.20/0.50 lonely: $i > mworld > $o ).
% 0.20/0.50
% 0.20/0.50 thf(reflexivity,axiom,
% 0.20/0.50 ( mlocal
% 0.20/0.50 @ ( mforall_di
% 0.20/0.50 @ ^ [X: $i] : ( qmltpeq @ X @ X ) ) ) ).
% 0.20/0.50
% 0.20/0.50 thf(symmetry,axiom,
% 0.20/0.50 ( mlocal
% 0.20/0.50 @ ( mforall_di
% 0.20/0.50 @ ^ [X: $i] :
% 0.20/0.50 ( mforall_di
% 0.20/0.50 @ ^ [Y: $i] : ( mimplies @ ( qmltpeq @ X @ Y ) @ ( qmltpeq @ Y @ X ) ) ) ) ) ).
% 0.20/0.50
% 0.20/0.50 thf(transitivity,axiom,
% 0.20/0.50 ( mlocal
% 0.20/0.50 @ ( mforall_di
% 0.20/0.50 @ ^ [X: $i] :
% 0.20/0.50 ( mforall_di
% 0.20/0.50 @ ^ [Y: $i] :
% 0.20/0.50 ( mforall_di
% 0.20/0.50 @ ^ [Z: $i] : ( mimplies @ ( mand @ ( qmltpeq @ X @ Y ) @ ( qmltpeq @ Y @ Z ) ) @ ( qmltpeq @ X @ Z ) ) ) ) ) ) ).
% 0.20/0.50
% 0.20/0.50 thf(barrel_substitution_1,axiom,
% 0.20/0.50 ( mlocal
% 0.20/0.50 @ ( mforall_di
% 0.20/0.50 @ ^ [A: $i] :
% 0.20/0.50 ( mforall_di
% 0.20/0.50 @ ^ [B: $i] :
% 0.20/0.50 ( mforall_di
% 0.20/0.50 @ ^ [C: $i] : ( mimplies @ ( mand @ ( qmltpeq @ A @ B ) @ ( barrel @ A @ C ) ) @ ( barrel @ B @ C ) ) ) ) ) ) ).
% 0.20/0.50
% 0.20/0.50 thf(barrel_substitution_2,axiom,
% 0.20/0.50 ( mlocal
% 0.20/0.50 @ ( mforall_di
% 0.20/0.50 @ ^ [A: $i] :
% 0.20/0.50 ( mforall_di
% 0.20/0.50 @ ^ [B: $i] :
% 0.20/0.50 ( mforall_di
% 0.20/0.50 @ ^ [C: $i] : ( mimplies @ ( mand @ ( qmltpeq @ A @ B ) @ ( barrel @ C @ A ) ) @ ( barrel @ C @ B ) ) ) ) ) ) ).
% 0.20/0.50
% 0.20/0.50 thf(car_substitution_1,axiom,
% 0.20/0.50 ( mlocal
% 0.20/0.50 @ ( mforall_di
% 0.20/0.50 @ ^ [A: $i] :
% 0.20/0.50 ( mforall_di
% 0.20/0.50 @ ^ [B: $i] : ( mimplies @ ( mand @ ( qmltpeq @ A @ B ) @ ( car @ A ) ) @ ( car @ B ) ) ) ) ) ).
% 0.20/0.50
% 0.20/0.50 thf(chevy_substitution_1,axiom,
% 0.20/0.50 ( mlocal
% 0.20/0.50 @ ( mforall_di
% 0.20/0.50 @ ^ [A: $i] :
% 0.20/0.50 ( mforall_di
% 0.20/0.50 @ ^ [B: $i] : ( mimplies @ ( mand @ ( qmltpeq @ A @ B ) @ ( chevy @ A ) ) @ ( chevy @ B ) ) ) ) ) ).
% 0.20/0.50
% 0.20/0.50 thf(city_substitution_1,axiom,
% 0.20/0.50 ( mlocal
% 0.20/0.50 @ ( mforall_di
% 0.20/0.50 @ ^ [A: $i] :
% 0.20/0.50 ( mforall_di
% 0.20/0.50 @ ^ [B: $i] : ( mimplies @ ( mand @ ( qmltpeq @ A @ B ) @ ( city @ A ) ) @ ( city @ B ) ) ) ) ) ).
% 0.20/0.50
% 0.20/0.50 thf(dirty_substitution_1,axiom,
% 0.20/0.50 ( mlocal
% 0.20/0.50 @ ( mforall_di
% 0.20/0.50 @ ^ [A: $i] :
% 0.20/0.50 ( mforall_di
% 0.20/0.50 @ ^ [B: $i] : ( mimplies @ ( mand @ ( qmltpeq @ A @ B ) @ ( dirty @ A ) ) @ ( dirty @ B ) ) ) ) ) ).
% 0.20/0.50
% 0.20/0.50 thf(down_substitution_1,axiom,
% 0.20/0.50 ( mlocal
% 0.20/0.50 @ ( mforall_di
% 0.20/0.50 @ ^ [A: $i] :
% 0.20/0.50 ( mforall_di
% 0.20/0.50 @ ^ [B: $i] :
% 0.20/0.50 ( mforall_di
% 0.20/0.50 @ ^ [C: $i] : ( mimplies @ ( mand @ ( qmltpeq @ A @ B ) @ ( down @ A @ C ) ) @ ( down @ B @ C ) ) ) ) ) ) ).
% 0.20/0.50
% 0.20/0.50 thf(down_substitution_2,axiom,
% 0.20/0.50 ( mlocal
% 0.20/0.50 @ ( mforall_di
% 0.20/0.50 @ ^ [A: $i] :
% 0.20/0.50 ( mforall_di
% 0.20/0.50 @ ^ [B: $i] :
% 0.20/0.50 ( mforall_di
% 0.20/0.50 @ ^ [C: $i] : ( mimplies @ ( mand @ ( qmltpeq @ A @ B ) @ ( down @ C @ A ) ) @ ( down @ C @ B ) ) ) ) ) ) ).
% 0.20/0.50
% 0.20/0.50 thf(event_substitution_1,axiom,
% 0.20/0.50 ( mlocal
% 0.20/0.50 @ ( mforall_di
% 0.20/0.50 @ ^ [A: $i] :
% 0.20/0.50 ( mforall_di
% 0.20/0.50 @ ^ [B: $i] : ( mimplies @ ( mand @ ( qmltpeq @ A @ B ) @ ( event @ A ) ) @ ( event @ B ) ) ) ) ) ).
% 0.20/0.50
% 0.20/0.50 thf(fellow_substitution_1,axiom,
% 0.20/0.50 ( mlocal
% 0.20/0.50 @ ( mforall_di
% 0.20/0.50 @ ^ [A: $i] :
% 0.20/0.50 ( mforall_di
% 0.20/0.50 @ ^ [B: $i] : ( mimplies @ ( mand @ ( qmltpeq @ A @ B ) @ ( fellow @ A ) ) @ ( fellow @ B ) ) ) ) ) ).
% 0.20/0.50
% 0.20/0.50 thf(front_substitution_1,axiom,
% 0.20/0.50 ( mlocal
% 0.20/0.50 @ ( mforall_di
% 0.20/0.50 @ ^ [A: $i] :
% 0.20/0.50 ( mforall_di
% 0.20/0.50 @ ^ [B: $i] : ( mimplies @ ( mand @ ( qmltpeq @ A @ B ) @ ( front @ A ) ) @ ( front @ B ) ) ) ) ) ).
% 0.20/0.50
% 0.20/0.50 thf(furniture_substitution_1,axiom,
% 0.20/0.50 ( mlocal
% 0.20/0.50 @ ( mforall_di
% 0.20/0.50 @ ^ [A: $i] :
% 0.20/0.50 ( mforall_di
% 0.20/0.50 @ ^ [B: $i] : ( mimplies @ ( mand @ ( qmltpeq @ A @ B ) @ ( furniture @ A ) ) @ ( furniture @ B ) ) ) ) ) ).
% 0.20/0.50
% 0.20/0.50 thf(hollywood_substitution_1,axiom,
% 0.20/0.50 ( mlocal
% 0.20/0.50 @ ( mforall_di
% 0.20/0.50 @ ^ [A: $i] :
% 0.20/0.50 ( mforall_di
% 0.20/0.50 @ ^ [B: $i] : ( mimplies @ ( mand @ ( qmltpeq @ A @ B ) @ ( hollywood @ A ) ) @ ( hollywood @ B ) ) ) ) ) ).
% 0.20/0.50
% 0.20/0.50 thf(in_substitution_1,axiom,
% 0.20/0.50 ( mlocal
% 0.20/0.50 @ ( mforall_di
% 0.20/0.50 @ ^ [A: $i] :
% 0.20/0.50 ( mforall_di
% 0.20/0.50 @ ^ [B: $i] :
% 0.20/0.50 ( mforall_di
% 0.20/0.50 @ ^ [C: $i] : ( mimplies @ ( mand @ ( qmltpeq @ A @ B ) @ ( in @ A @ C ) ) @ ( in @ B @ C ) ) ) ) ) ) ).
% 0.20/0.50
% 0.20/0.50 thf(in_substitution_2,axiom,
% 0.20/0.50 ( mlocal
% 0.20/0.50 @ ( mforall_di
% 0.20/0.50 @ ^ [A: $i] :
% 0.20/0.50 ( mforall_di
% 0.20/0.50 @ ^ [B: $i] :
% 0.20/0.50 ( mforall_di
% 0.20/0.50 @ ^ [C: $i] : ( mimplies @ ( mand @ ( qmltpeq @ A @ B ) @ ( in @ C @ A ) ) @ ( in @ C @ B ) ) ) ) ) ) ).
% 0.20/0.50
% 0.20/0.50 thf(lonely_substitution_1,axiom,
% 0.20/0.50 ( mlocal
% 0.20/0.50 @ ( mforall_di
% 0.20/0.50 @ ^ [A: $i] :
% 0.20/0.50 ( mforall_di
% 0.20/0.50 @ ^ [B: $i] : ( mimplies @ ( mand @ ( qmltpeq @ A @ B ) @ ( lonely @ A ) ) @ ( lonely @ B ) ) ) ) ) ).
% 0.20/0.50
% 0.20/0.50 thf(man_substitution_1,axiom,
% 0.20/0.50 ( mlocal
% 0.20/0.50 @ ( mforall_di
% 0.20/0.50 @ ^ [A: $i] :
% 0.20/0.50 ( mforall_di
% 0.20/0.50 @ ^ [B: $i] : ( mimplies @ ( mand @ ( qmltpeq @ A @ B ) @ ( man @ A ) ) @ ( man @ B ) ) ) ) ) ).
% 0.20/0.50
% 0.20/0.50 thf(old_substitution_1,axiom,
% 0.20/0.50 ( mlocal
% 0.20/0.50 @ ( mforall_di
% 0.20/0.50 @ ^ [A: $i] :
% 0.20/0.50 ( mforall_di
% 0.20/0.50 @ ^ [B: $i] : ( mimplies @ ( mand @ ( qmltpeq @ A @ B ) @ ( old @ A ) ) @ ( old @ B ) ) ) ) ) ).
% 0.20/0.50
% 0.20/0.50 thf(seat_substitution_1,axiom,
% 0.20/0.50 ( mlocal
% 0.20/0.50 @ ( mforall_di
% 0.20/0.50 @ ^ [A: $i] :
% 0.20/0.50 ( mforall_di
% 0.20/0.50 @ ^ [B: $i] : ( mimplies @ ( mand @ ( qmltpeq @ A @ B ) @ ( seat @ A ) ) @ ( seat @ B ) ) ) ) ) ).
% 0.20/0.50
% 0.20/0.50 thf(street_substitution_1,axiom,
% 0.20/0.50 ( mlocal
% 0.20/0.50 @ ( mforall_di
% 0.20/0.50 @ ^ [A: $i] :
% 0.20/0.50 ( mforall_di
% 0.20/0.50 @ ^ [B: $i] : ( mimplies @ ( mand @ ( qmltpeq @ A @ B ) @ ( street @ A ) ) @ ( street @ B ) ) ) ) ) ).
% 0.20/0.50
% 0.20/0.50 thf(way_substitution_1,axiom,
% 0.20/0.50 ( mlocal
% 0.20/0.50 @ ( mforall_di
% 0.20/0.50 @ ^ [A: $i] :
% 0.20/0.50 ( mforall_di
% 0.20/0.50 @ ^ [B: $i] : ( mimplies @ ( mand @ ( qmltpeq @ A @ B ) @ ( way @ A ) ) @ ( way @ B ) ) ) ) ) ).
% 0.20/0.50
% 0.20/0.50 thf(white_substitution_1,axiom,
% 0.20/0.50 ( mlocal
% 0.20/0.50 @ ( mforall_di
% 0.20/0.50 @ ^ [A: $i] :
% 0.20/0.50 ( mforall_di
% 0.20/0.50 @ ^ [B: $i] : ( mimplies @ ( mand @ ( qmltpeq @ A @ B ) @ ( white @ A ) ) @ ( white @ B ) ) ) ) ) ).
% 0.20/0.50
% 0.20/0.50 thf(young_substitution_1,axiom,
% 0.20/0.50 ( mlocal
% 0.20/0.50 @ ( mforall_di
% 0.20/0.50 @ ^ [A: $i] :
% 0.20/0.50 ( mforall_di
% 0.20/0.50 @ ^ [B: $i] : ( mimplies @ ( mand @ ( qmltpeq @ A @ B ) @ ( young @ A ) ) @ ( young @ B ) ) ) ) ) ).
% 0.20/0.50
% 0.20/0.50 thf(co1,conjecture,
% 0.20/0.50 ( mlocal
% 0.20/0.50 @ ( mand
% 0.20/0.50 @ ( mimplies
% 0.20/0.50 @ ( mexists_di
% 0.20/0.50 @ ^ [U: $i] :
% 0.20/0.50 ( mexists_di
% 0.20/0.50 @ ^ [V: $i] :
% 0.20/0.50 ( mexists_di
% 0.20/0.50 @ ^ [W: $i] :
% 0.20/0.50 ( mexists_di
% 0.20/0.50 @ ^ [X: $i] :
% 0.20/0.50 ( mexists_di
% 0.20/0.50 @ ^ [Y: $i] :
% 0.20/0.50 ( mexists_di
% 0.20/0.50 @ ^ [Z: $i] :
% 0.20/0.50 ( mexists_di
% 0.20/0.50 @ ^ [X1: $i] :
% 0.20/0.50 ( mexists_di
% 0.20/0.50 @ ^ [X2: $i] :
% 0.20/0.50 ( mexists_di
% 0.20/0.50 @ ^ [X4: $i] :
% 0.20/0.50 ( mexists_di
% 0.20/0.50 @ ^ [X5: $i] : ( mand @ ( seat @ U ) @ ( mand @ ( furniture @ U ) @ ( mand @ ( front @ U ) @ ( mand @ ( seat @ V ) @ ( mand @ ( furniture @ V ) @ ( mand @ ( front @ V ) @ ( mand @ ( hollywood @ W ) @ ( mand @ ( city @ W ) @ ( mand @ ( event @ X ) @ ( mand @ ( street @ Y ) @ ( mand @ ( way @ Y ) @ ( mand @ ( lonely @ Y ) @ ( mand @ ( chevy @ Z ) @ ( mand @ ( car @ Z ) @ ( mand @ ( white @ Z ) @ ( mand @ ( dirty @ Z ) @ ( mand @ ( old @ Z ) @ ( mand @ ( barrel @ X @ Z ) @ ( mand @ ( down @ X @ Y ) @ ( mand @ ( in @ X @ W ) @ ( mand @ ( mnot @ ( qmltpeq @ X1 @ X2 ) ) @ ( mand @ ( fellow @ X1 ) @ ( mand @ ( man @ X1 ) @ ( mand @ ( young @ X1 ) @ ( mand @ ( fellow @ X2 ) @ ( mand @ ( man @ X2 ) @ ( mand @ ( young @ X2 ) @ ( mand @ ( qmltpeq @ X1 @ X4 ) @ ( mand @ ( in @ X4 @ U ) @ ( mand @ ( qmltpeq @ X2 @ X5 ) @ ( in @ X5 @ V ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 0.20/0.50 @ ( mexists_di
% 0.20/0.50 @ ^ [X6: $i] :
% 0.20/0.50 ( mexists_di
% 0.20/0.50 @ ^ [X7: $i] :
% 0.20/0.50 ( mexists_di
% 0.20/0.50 @ ^ [X8: $i] :
% 0.20/0.50 ( mexists_di
% 0.20/0.50 @ ^ [X9: $i] :
% 0.20/0.50 ( mexists_di
% 0.20/0.50 @ ^ [X10: $i] :
% 0.20/0.50 ( mexists_di
% 0.20/0.50 @ ^ [X11: $i] :
% 0.20/0.50 ( mexists_di
% 0.20/0.50 @ ^ [X12: $i] :
% 0.20/0.50 ( mexists_di
% 0.20/0.50 @ ^ [X13: $i] :
% 0.20/0.50 ( mexists_di
% 0.20/0.50 @ ^ [X15: $i] :
% 0.20/0.50 ( mexists_di
% 0.20/0.50 @ ^ [X16: $i] : ( mand @ ( seat @ X6 ) @ ( mand @ ( furniture @ X6 ) @ ( mand @ ( front @ X6 ) @ ( mand @ ( seat @ X7 ) @ ( mand @ ( furniture @ X7 ) @ ( mand @ ( front @ X7 ) @ ( mand @ ( hollywood @ X8 ) @ ( mand @ ( city @ X8 ) @ ( mand @ ( event @ X9 ) @ ( mand @ ( chevy @ X10 ) @ ( mand @ ( car @ X10 ) @ ( mand @ ( white @ X10 ) @ ( mand @ ( dirty @ X10 ) @ ( mand @ ( old @ X10 ) @ ( mand @ ( street @ X11 ) @ ( mand @ ( way @ X11 ) @ ( mand @ ( lonely @ X11 ) @ ( mand @ ( barrel @ X9 @ X10 ) @ ( mand @ ( down @ X9 @ X11 ) @ ( mand @ ( in @ X9 @ X8 ) @ ( mand @ ( mnot @ ( qmltpeq @ X12 @ X13 ) ) @ ( mand @ ( fellow @ X12 ) @ ( mand @ ( man @ X12 ) @ ( mand @ ( young @ X12 ) @ ( mand @ ( fellow @ X13 ) @ ( mand @ ( man @ X13 ) @ ( mand @ ( young @ X13 ) @ ( mand @ ( qmltpeq @ X12 @ X15 ) @ ( mand @ ( in @ X15 @ X6 ) @ ( mand @ ( qmltpeq @ X13 @ X16 ) @ ( in @ X16 @ X7 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 0.20/0.50 @ ( mimplies
% 0.20/0.50 @ ( mexists_di
% 0.20/0.50 @ ^ [X17: $i] :
% 0.20/0.50 ( mexists_di
% 0.20/0.50 @ ^ [X18: $i] :
% 0.20/0.50 ( mexists_di
% 0.20/0.50 @ ^ [X19: $i] :
% 0.20/0.50 ( mexists_di
% 0.20/0.50 @ ^ [X20: $i] :
% 0.20/0.50 ( mexists_di
% 0.20/0.50 @ ^ [X21: $i] :
% 0.20/0.50 ( mexists_di
% 0.20/0.50 @ ^ [X22: $i] :
% 0.20/0.50 ( mexists_di
% 0.20/0.50 @ ^ [X23: $i] :
% 0.20/0.50 ( mexists_di
% 0.20/0.50 @ ^ [X24: $i] :
% 0.20/0.50 ( mexists_di
% 0.20/0.50 @ ^ [X26: $i] :
% 0.20/0.50 ( mexists_di
% 0.20/0.50 @ ^ [X27: $i] : ( mand @ ( seat @ X17 ) @ ( mand @ ( furniture @ X17 ) @ ( mand @ ( front @ X17 ) @ ( mand @ ( seat @ X18 ) @ ( mand @ ( furniture @ X18 ) @ ( mand @ ( front @ X18 ) @ ( mand @ ( hollywood @ X19 ) @ ( mand @ ( city @ X19 ) @ ( mand @ ( event @ X20 ) @ ( mand @ ( chevy @ X21 ) @ ( mand @ ( car @ X21 ) @ ( mand @ ( white @ X21 ) @ ( mand @ ( dirty @ X21 ) @ ( mand @ ( old @ X21 ) @ ( mand @ ( street @ X22 ) @ ( mand @ ( way @ X22 ) @ ( mand @ ( lonely @ X22 ) @ ( mand @ ( barrel @ X20 @ X21 ) @ ( mand @ ( down @ X20 @ X22 ) @ ( mand @ ( in @ X20 @ X19 ) @ ( mand @ ( mnot @ ( qmltpeq @ X23 @ X24 ) ) @ ( mand @ ( fellow @ X23 ) @ ( mand @ ( man @ X23 ) @ ( mand @ ( young @ X23 ) @ ( mand @ ( fellow @ X24 ) @ ( mand @ ( man @ X24 ) @ ( mand @ ( young @ X24 ) @ ( mand @ ( qmltpeq @ X23 @ X26 ) @ ( mand @ ( in @ X26 @ X17 ) @ ( mand @ ( qmltpeq @ X24 @ X27 ) @ ( in @ X27 @ X18 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 0.20/0.53 @ ( mexists_di
% 0.20/0.53 @ ^ [X28: $i] :
% 0.20/0.53 ( mexists_di
% 0.20/0.53 @ ^ [X29: $i] :
% 0.20/0.53 ( mexists_di
% 0.20/0.53 @ ^ [X30: $i] :
% 0.20/0.53 ( mexists_di
% 0.20/0.53 @ ^ [X31: $i] :
% 0.20/0.53 ( mexists_di
% 0.20/0.53 @ ^ [X32: $i] :
% 0.20/0.53 ( mexists_di
% 0.20/0.53 @ ^ [X33: $i] :
% 0.20/0.53 ( mexists_di
% 0.20/0.53 @ ^ [X34: $i] :
% 0.20/0.53 ( mexists_di
% 0.20/0.53 @ ^ [X35: $i] :
% 0.20/0.53 ( mexists_di
% 0.20/0.53 @ ^ [X37: $i] :
% 0.20/0.53 ( mexists_di
% 0.20/0.53 @ ^ [X38: $i] : ( mand @ ( seat @ X28 ) @ ( mand @ ( furniture @ X28 ) @ ( mand @ ( front @ X28 ) @ ( mand @ ( seat @ X29 ) @ ( mand @ ( furniture @ X29 ) @ ( mand @ ( front @ X29 ) @ ( mand @ ( hollywood @ X30 ) @ ( mand @ ( city @ X30 ) @ ( mand @ ( event @ X31 ) @ ( mand @ ( street @ X32 ) @ ( mand @ ( way @ X32 ) @ ( mand @ ( lonely @ X32 ) @ ( mand @ ( chevy @ X33 ) @ ( mand @ ( car @ X33 ) @ ( mand @ ( white @ X33 ) @ ( mand @ ( dirty @ X33 ) @ ( mand @ ( old @ X33 ) @ ( mand @ ( barrel @ X31 @ X33 ) @ ( mand @ ( down @ X31 @ X32 ) @ ( mand @ ( in @ X31 @ X30 ) @ ( mand @ ( mnot @ ( qmltpeq @ X34 @ X35 ) ) @ ( mand @ ( fellow @ X34 ) @ ( mand @ ( man @ X34 ) @ ( mand @ ( young @ X34 ) @ ( mand @ ( fellow @ X35 ) @ ( mand @ ( man @ X35 ) @ ( mand @ ( young @ X35 ) @ ( mand @ ( qmltpeq @ X34 @ X37 ) @ ( mand @ ( in @ X37 @ X28 ) @ ( mand @ ( qmltpeq @ X35 @ X38 ) @ ( in @ X38 @ X29 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
% 0.20/0.53
% 0.20/0.53 %------------------------------------------------------------------------------
% 0.20/0.53 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.GImDfK5Bc5/cvc5---1.0.5_12327.p...
% 0.20/0.53 (declare-sort $$unsorted 0)
% 0.20/0.53 (declare-sort tptp.mworld 0)
% 0.20/0.53 (declare-fun tptp.mrel (tptp.mworld tptp.mworld) Bool)
% 0.20/0.53 (declare-fun tptp.mactual () tptp.mworld)
% 0.20/0.53 (declare-fun tptp.mlocal ((-> tptp.mworld Bool)) Bool)
% 0.20/0.53 (assert (= tptp.mlocal (lambda ((Phi (-> tptp.mworld Bool))) (@ Phi tptp.mactual))))
% 0.20/0.53 (declare-fun tptp.mnot ((-> tptp.mworld Bool) tptp.mworld) Bool)
% 0.20/0.53 (declare-fun tptp.mand ((-> tptp.mworld Bool) (-> tptp.mworld Bool) tptp.mworld) Bool)
% 0.20/0.53 (declare-fun tptp.mor ((-> tptp.mworld Bool) (-> tptp.mworld Bool) tptp.mworld) Bool)
% 0.20/0.53 (declare-fun tptp.mimplies ((-> tptp.mworld Bool) (-> tptp.mworld Bool) tptp.mworld) Bool)
% 0.20/0.53 (declare-fun tptp.mequiv ((-> tptp.mworld Bool) (-> tptp.mworld Bool) tptp.mworld) Bool)
% 0.20/0.53 (assert (= tptp.mnot (lambda ((A (-> tptp.mworld Bool)) (W tptp.mworld)) (not (@ A W)))))
% 0.20/0.53 (assert (= tptp.mand (lambda ((A (-> tptp.mworld Bool)) (B (-> tptp.mworld Bool)) (W tptp.mworld)) (and (@ A W) (@ B W)))))
% 0.20/0.53 (assert (= tptp.mor (lambda ((A (-> tptp.mworld Bool)) (B (-> tptp.mworld Bool)) (W tptp.mworld)) (or (@ A W) (@ B W)))))
% 0.20/0.53 (assert (= tptp.mimplies (lambda ((A (-> tptp.mworld Bool)) (B (-> tptp.mworld Bool)) (W tptp.mworld)) (=> (@ A W) (@ B W)))))
% 0.20/0.53 (assert (= tptp.mequiv (lambda ((A (-> tptp.mworld Bool)) (B (-> tptp.mworld Bool)) (W tptp.mworld)) (= (@ A W) (@ B W)))))
% 0.20/0.53 (declare-fun tptp.mbox ((-> tptp.mworld Bool) tptp.mworld) Bool)
% 0.20/0.53 (assert (= tptp.mbox (lambda ((Phi (-> tptp.mworld Bool)) (W tptp.mworld)) (forall ((V tptp.mworld)) (=> (@ (@ tptp.mrel W) V) (@ Phi V))))))
% 0.20/0.53 (declare-fun tptp.mdia ((-> tptp.mworld Bool) tptp.mworld) Bool)
% 0.20/0.53 (assert (= tptp.mdia (lambda ((Phi (-> tptp.mworld Bool)) (W tptp.mworld)) (exists ((V tptp.mworld)) (and (@ (@ tptp.mrel W) V) (@ Phi V))))))
% 0.20/0.53 (declare-fun tptp.eiw_di ($$unsorted tptp.mworld) Bool)
% 0.20/0.53 (assert (forall ((W tptp.mworld)) (exists ((X $$unsorted)) (@ (@ tptp.eiw_di X) W))))
% 0.20/0.53 (assert (forall ((W tptp.mworld) (V tptp.mworld) (X $$unsorted)) (let ((_let_1 (@ tptp.eiw_di X))) (=> (and (@ _let_1 W) (@ (@ tptp.mrel W) V)) (@ _let_1 V)))))
% 0.20/0.53 (declare-fun tptp.mforall_di ((-> $$unsorted tptp.mworld Bool) tptp.mworld) Bool)
% 0.20/0.53 (assert (= tptp.mforall_di (lambda ((A (-> $$unsorted tptp.mworld Bool)) (W tptp.mworld)) (forall ((X $$unsorted)) (=> (@ (@ tptp.eiw_di X) W) (@ (@ A X) W))))))
% 0.20/0.53 (declare-fun tptp.mexists_di ((-> $$unsorted tptp.mworld Bool) tptp.mworld) Bool)
% 0.20/0.53 (assert (= tptp.mexists_di (lambda ((A (-> $$unsorted tptp.mworld Bool)) (W tptp.mworld)) (exists ((X $$unsorted)) (and (@ (@ tptp.eiw_di X) W) (@ (@ A X) W))))))
% 0.20/0.53 (declare-fun tptp.chevy ($$unsorted tptp.mworld) Bool)
% 0.20/0.53 (declare-fun tptp.dirty ($$unsorted tptp.mworld) Bool)
% 0.20/0.53 (declare-fun tptp.barrel ($$unsorted $$unsorted tptp.mworld) Bool)
% 0.20/0.53 (declare-fun tptp.hollywood ($$unsorted tptp.mworld) Bool)
% 0.20/0.53 (declare-fun tptp.city ($$unsorted tptp.mworld) Bool)
% 0.20/0.53 (declare-fun tptp.in ($$unsorted $$unsorted tptp.mworld) Bool)
% 0.20/0.53 (declare-fun tptp.young ($$unsorted tptp.mworld) Bool)
% 0.20/0.53 (declare-fun tptp.old ($$unsorted tptp.mworld) Bool)
% 0.20/0.53 (declare-fun tptp.down ($$unsorted $$unsorted tptp.mworld) Bool)
% 0.20/0.53 (declare-fun tptp.way ($$unsorted tptp.mworld) Bool)
% 0.20/0.53 (declare-fun tptp.qmltpeq ($$unsorted $$unsorted tptp.mworld) Bool)
% 0.20/0.53 (declare-fun tptp.seat ($$unsorted tptp.mworld) Bool)
% 0.20/0.53 (declare-fun tptp.white ($$unsorted tptp.mworld) Bool)
% 0.20/0.53 (declare-fun tptp.car ($$unsorted tptp.mworld) Bool)
% 0.20/0.53 (declare-fun tptp.furniture ($$unsorted tptp.mworld) Bool)
% 0.20/0.53 (declare-fun tptp.street ($$unsorted tptp.mworld) Bool)
% 0.20/0.53 (declare-fun tptp.fellow ($$unsorted tptp.mworld) Bool)
% 0.20/0.53 (declare-fun tptp.front ($$unsorted tptp.mworld) Bool)
% 0.20/0.53 (declare-fun tptp.man ($$unsorted tptp.mworld) Bool)
% 0.20/0.53 (declare-fun tptp.event ($$unsorted tptp.mworld) Bool)
% 0.20/0.53 (declare-fun tptp.lonely ($$unsorted tptp.mworld) Bool)
% 0.20/0.53 (assert (@ tptp.mlocal (@ tptp.mforall_di (lambda ((X $$unsorted) (__flatten_var_0 tptp.mworld)) (@ (@ (@ tptp.qmltpeq X) X) __flatten_var_0)))))
% 0.20/0.53 (assert (@ tptp.mlocal (@ tptp.mforall_di (lambda ((X $$unsorted) (__flatten_var_0 tptp.mworld)) (@ (@ tptp.mforall_di (lambda ((Y $$unsorted) (__flatten_var_0 tptp.mworld)) (@ (@ (@ tptp.mimplies (@ (@ tptp.qmltpeq X) Y)) (@ (@ tptp.qmltpeq Y) X)) __flatten_var_0))) __flatten_var_0)))))
% 0.20/0.53 (assert (@ tptp.mlocal (@ tptp.mforall_di (lambda ((X $$unsorted) (__flatten_var_0 tptp.mworld)) (@ (@ tptp.mforall_di (lambda ((Y $$unsorted) (__flatten_var_0 tptp.mworld)) (@ (@ tptp.mforall_di (lambda ((Z $$unsorted) (__flatten_var_0 tptp.mworld)) (let ((_let_1 (@ tptp.qmltpeq X))) (@ (@ (@ tptp.mimplies (@ (@ tptp.mand (@ _let_1 Y)) (@ (@ tptp.qmltpeq Y) Z))) (@ _let_1 Z)) __flatten_var_0)))) __flatten_var_0))) __flatten_var_0)))))
% 0.20/0.53 (assert (@ tptp.mlocal (@ tptp.mforall_di (lambda ((A $$unsorted) (__flatten_var_0 tptp.mworld)) (@ (@ tptp.mforall_di (lambda ((B $$unsorted) (__flatten_var_0 tptp.mworld)) (@ (@ tptp.mforall_di (lambda ((C $$unsorted) (__flatten_var_0 tptp.mworld)) (@ (@ (@ tptp.mimplies (@ (@ tptp.mand (@ (@ tptp.qmltpeq A) B)) (@ (@ tptp.barrel A) C))) (@ (@ tptp.barrel B) C)) __flatten_var_0))) __flatten_var_0))) __flatten_var_0)))))
% 0.20/0.53 (assert (@ tptp.mlocal (@ tptp.mforall_di (lambda ((A $$unsorted) (__flatten_var_0 tptp.mworld)) (@ (@ tptp.mforall_di (lambda ((B $$unsorted) (__flatten_var_0 tptp.mworld)) (@ (@ tptp.mforall_di (lambda ((C $$unsorted) (__flatten_var_0 tptp.mworld)) (let ((_let_1 (@ tptp.barrel C))) (@ (@ (@ tptp.mimplies (@ (@ tptp.mand (@ (@ tptp.qmltpeq A) B)) (@ _let_1 A))) (@ _let_1 B)) __flatten_var_0)))) __flatten_var_0))) __flatten_var_0)))))
% 0.20/0.53 (assert (@ tptp.mlocal (@ tptp.mforall_di (lambda ((A $$unsorted) (__flatten_var_0 tptp.mworld)) (@ (@ tptp.mforall_di (lambda ((B $$unsorted) (__flatten_var_0 tptp.mworld)) (@ (@ (@ tptp.mimplies (@ (@ tptp.mand (@ (@ tptp.qmltpeq A) B)) (@ tptp.car A))) (@ tptp.car B)) __flatten_var_0))) __flatten_var_0)))))
% 0.20/0.53 (assert (@ tptp.mlocal (@ tptp.mforall_di (lambda ((A $$unsorted) (__flatten_var_0 tptp.mworld)) (@ (@ tptp.mforall_di (lambda ((B $$unsorted) (__flatten_var_0 tptp.mworld)) (@ (@ (@ tptp.mimplies (@ (@ tptp.mand (@ (@ tptp.qmltpeq A) B)) (@ tptp.chevy A))) (@ tptp.chevy B)) __flatten_var_0))) __flatten_var_0)))))
% 0.20/0.53 (assert (@ tptp.mlocal (@ tptp.mforall_di (lambda ((A $$unsorted) (__flatten_var_0 tptp.mworld)) (@ (@ tptp.mforall_di (lambda ((B $$unsorted) (__flatten_var_0 tptp.mworld)) (@ (@ (@ tptp.mimplies (@ (@ tptp.mand (@ (@ tptp.qmltpeq A) B)) (@ tptp.city A))) (@ tptp.city B)) __flatten_var_0))) __flatten_var_0)))))
% 0.20/0.53 (assert (@ tptp.mlocal (@ tptp.mforall_di (lambda ((A $$unsorted) (__flatten_var_0 tptp.mworld)) (@ (@ tptp.mforall_di (lambda ((B $$unsorted) (__flatten_var_0 tptp.mworld)) (@ (@ (@ tptp.mimplies (@ (@ tptp.mand (@ (@ tptp.qmltpeq A) B)) (@ tptp.dirty A))) (@ tptp.dirty B)) __flatten_var_0))) __flatten_var_0)))))
% 0.20/0.53 (assert (@ tptp.mlocal (@ tptp.mforall_di (lambda ((A $$unsorted) (__flatten_var_0 tptp.mworld)) (@ (@ tptp.mforall_di (lambda ((B $$unsorted) (__flatten_var_0 tptp.mworld)) (@ (@ tptp.mforall_di (lambda ((C $$unsorted) (__flatten_var_0 tptp.mworld)) (@ (@ (@ tptp.mimplies (@ (@ tptp.mand (@ (@ tptp.qmltpeq A) B)) (@ (@ tptp.down A) C))) (@ (@ tptp.down B) C)) __flatten_var_0))) __flatten_var_0))) __flatten_var_0)))))
% 0.20/0.53 (assert (@ tptp.mlocal (@ tptp.mforall_di (lambda ((A $$unsorted) (__flatten_var_0 tptp.mworld)) (@ (@ tptp.mforall_di (lambda ((B $$unsorted) (__flatten_var_0 tptp.mworld)) (@ (@ tptp.mforall_di (lambda ((C $$unsorted) (__flatten_var_0 tptp.mworld)) (let ((_let_1 (@ tptp.down C))) (@ (@ (@ tptp.mimplies (@ (@ tptp.mand (@ (@ tptp.qmltpeq A) B)) (@ _let_1 A))) (@ _let_1 B)) __flatten_var_0)))) __flatten_var_0))) __flatten_var_0)))))
% 0.20/0.53 (assert (@ tptp.mlocal (@ tptp.mforall_di (lambda ((A $$unsorted) (__flatten_var_0 tptp.mworld)) (@ (@ tptp.mforall_di (lambda ((B $$unsorted) (__flatten_var_0 tptp.mworld)) (@ (@ (@ tptp.mimplies (@ (@ tptp.mand (@ (@ tptp.qmltpeq A) B)) (@ tptp.event A))) (@ tptp.event B)) __flatten_var_0))) __flatten_var_0)))))
% 0.20/0.53 (assert (@ tptp.mlocal (@ tptp.mforall_di (lambda ((A $$unsorted) (__flatten_var_0 tptp.mworld)) (@ (@ tptp.mforall_di (lambda ((B $$unsorted) (__flatten_var_0 tptp.mworld)) (@ (@ (@ tptp.mimplies (@ (@ tptp.mand (@ (@ tptp.qmltpeq A) B)) (@ tptp.fellow A))) (@ tptp.fellow B)) __flatten_var_0))) __flatten_var_0)))))
% 0.20/0.53 (assert (@ tptp.mlocal (@ tptp.mforall_di (lambda ((A $$unsorted) (__flatten_var_0 tptp.mworld)) (@ (@ tptp.mforall_di (lambda ((B $$unsorted) (__flatten_var_0 tptp.mworld)) (@ (@ (@ tptp.mimplies (@ (@ tptp.mand (@ (@ tptp.qmltpeq A) B)) (@ tptp.front A))) (@ tptp.front B)) __flatten_var_0))) __flatten_var_0)))))
% 0.20/0.53 (assert (@ tptp.mlocal (@ tptp.mforall_di (lambda ((A $$unsorted) (__flatten_var_0 tptp.mworld)) (@ (@ tptp.mforall_di (lambda ((B $$unsorted) (__flatten_var_0 tptp.mworld)) (@ (@ (@ tptp.mimplies (@ (@ tptp.mand (@ (@ tptp.qmltpeq A) B)) (@ tptp.furniture A))) (@ tptp.furniture B)) __flatten_var_0))) __flatten_var_0)))))
% 0.20/0.53 (assert (@ tptp.mlocal (@ tptp.mforall_di (lambda ((A $$unsorted) (__flatten_var_0 tptp.mworld)) (@ (@ tptp.mforall_di (lambda ((B $$unsorted) (__flatten_var_0 tptp.mworld)) (@ (@ (@ tptp.mimplies (@ (@ tptp.mand (@ (@ tptp.qmltpeq A) B)) (@ tptp.hollywood A))) (@ tptp.hollywood B)) __flatten_var_0))) __flatten_var_0)))))
% 0.20/0.53 (assert (@ tptp.mlocal (@ tptp.mforall_di (lambda ((A $$unsorted) (__flatten_var_0 tptp.mworld)) (@ (@ tptp.mforall_di (lambda ((B $$unsorted) (__flatten_var_0 tptp.mworld)) (@ (@ tptp.mforall_di (lambda ((C $$unsorted) (__flatten_var_0 tptp.mworld)) (@ (@ (@ tptp.mimplies (@ (@ tptp.mand (@ (@ tptp.qmltpeq A) B)) (@ (@ tptp.in A) C))) (@ (@ tptp.in B) C)) __flatten_var_0))) __flatten_var_0))) __flatten_var_0)))))
% 0.20/0.53 (assert (@ tptp.mlocal (@ tptp.mforall_di (lambda ((A $$unsorted) (__flatten_var_0 tptp.mworld)) (@ (@ tptp.mforall_di (lambda ((B $$unsorted) (__flatten_var_0 tptp.mworld)) (@ (@ tptp.mforall_di (lambda ((C $$unsorted) (__flatten_var_0 tptp.mworld)) (let ((_let_1 (@ tptp.in C))) (@ (@ (@ tptp.mimplies (@ (@ tptp.mand (@ (@ tptp.qmltpeq A) B)) (@ _let_1 A))) (@ _let_1 B)) __flatten_var_0)))) __flatten_var_0))) __flatten_var_0)))))
% 0.20/0.53 (assert (@ tptp.mlocal (@ tptp.mforall_di (lambda ((A $$unsorted) (__flatten_var_0 tptp.mworld)) (@ (@ tptp.mforall_di (lambda ((B $$unsorted) (__flatten_var_0 tptp.mworld)) (@ (@ (@ tptp.mimplies (@ (@ tptp.mand (@ (@ tptp.qmltpeq A) B)) (@ tptp.lonely A))) (@ tptp.lonely B)) __flatten_var_0))) __flatten_var_0)))))
% 0.20/0.53 (assert (@ tptp.mlocal (@ tptp.mforall_di (lambda ((A $$unsorted) (__flatten_var_0 tptp.mworld)) (@ (@ tptp.mforall_di (lambda ((B $$unsorted) (__flatten_var_0 tptp.mworld)) (@ (@ (@ tptp.mimplies (@ (@ tptp.mand (@ (@ tptp.qmltpeq A) B)) (@ tptp.man A))) (@ tptp.man B)) __flatten_var_0))) __flatten_var_0)))))
% 0.20/0.53 (assert (@ tptp.mlocal (@ tptp.mforall_di (lambda ((A $$unsorted) (__flatten_var_0 tptp.mworld)) (@ (@ tptp.mforall_di (lambda ((B $$unsorted) (__flatten_var_0 tptp.mworld)) (@ (@ (@ tptp.mimplies (@ (@ tptp.mand (@ (@ tptp.qmltpeq A) B)) (@ tptp.old A))) (@ tptp.old B)) __flatten_var_0))) __flatten_var_0)))))
% 0.20/0.53 (assert (@ tptp.mlocal (@ tptp.mforall_di (lambda ((A $$unsorted) (__flatten_var_0 tptp.mworld)) (@ (@ tptp.mforall_di (lambda ((B $$unsorted) (__flatten_var_0 tptp.mworld)) (@ (@ (@ tptp.mimplies (@ (@ tptp.mand (@ (@ tptp.qmltpeq A) B)) (@ tptp.seat A))) (@ tptp.seat B)) __flatten_var_0))) __flatten_var_0)))))
% 0.20/0.53 (assert (@ tptp.mlocal (@ tptp.mforall_di (lambda ((A $$unsorted) (__flatten_var_0 tptp.mworld)) (@ (@ tptp.mforall_di (lambda ((B $$unsorted) (__flatten_var_0 tptp.mworld)) (@ (@ (@ tptp.mimplies (@ (@ tptp.mand (@ (@ tptp.qmltpeq A) B)) (@ tptp.street A))) (@ tptp.street B)) __flatten_var_0))) __flatten_var_0)))))
% 0.20/0.53 (assert (@ tptp.mlocal (@ tptp.mforall_di (lambda ((A $$unsorted) (__flatten_var_0 tptp.mworld)) (@ (@ tptp.mforall_di (lambda ((B $$unsorted) (__flatten_var_0 tptp.mworld)) (@ (@ (@ tptp.mimplies (@ (@ tptp.mand (@ (@ tptp.qmltpeq A) B)) (@ tptp.way A))) (@ tptp.way B)) __flatten_var_0))) __flatten_var_0)))))
% 0.20/0.53 (assert (@ tptp.mlocal (@ tptp.mforall_di (lambda ((A $$unsorted) (__flatten_var_0 tptp.mworld)) (@ (@ tptp.mforall_di (lambda ((B $$unsorted) (__flatten_var_0 tptp.mworld)) (@ (@ (@ tptp.mimplies (@ (@ tptp.mand (@ (@ tptp.qmltpeq A) B)) (@ tptp.white A))) (@ tptp.white B)) __flatten_var_0))) __flatten_var_0)))))
% 0.20/0.53 (assert (@ tptp.mlocal (@ tptp.mforall_di (lambda ((A $$unsorted) (__flatten_var_0 tptp.mworld)) (@ (@ tptp.mforall_di (lambda ((B $$unsorted) (__flatten_var_0 tptp.mworld)) (@ (@ (@ tptp.mimplies (@ (@ tptp.mand (@ (@ tptp.qmltpeq A) B)) (@ tptp.young A))) (@ tptp.young B)) __flatten_var_0))) __flatten_var_0)))))
% 0.20/0.53 (assert (not (@ tptp.mlocal (@ (@ tptp.mand (@ (@ tptp.mimplies (@ tptp.mexists_di (lambda ((U $$unsorted) (__flatten_var_0 tptp.mworld)) (@ (@ tptp.mexists_di (lambda ((V $$unsorted) (__flatten_var_0 tptp.mworld)) (@ (@ tptp.mexists_di (lambda ((W $$unsorted) (__flatten_var_0 tptp.mworld)) (@ (@ tptp.mexists_di (lambda ((X $$unsorted) (__flatten_var_0 tptp.mworld)) (@ (@ tptp.mexists_di (lambda ((Y $$unsorted) (__flatten_var_0 tptp.mworld)) (@ (@ tptp.mexists_di (lambda ((Z $$unsorted) (__flatten_var_0 tptp.mworld)) (@ (@ tptp.mexists_di (lambda ((X1 $$unsorted) (__flatten_var_0 tptp.mworld)) (@ (@ tptp.mexists_di (lambda ((X2 $$unsorted) (__flatten_var_0 tptp.mworld)) (@ (@ tptp.mexists_di (lambda ((X4 $$unsorted) (__flatten_var_0 tptp.mworld)) (@ (@ tptp.mexists_di (lambda ((X5 $$unsorted) (__flatten_var_0 tptp.mworld)) (let ((_let_1 (@ tptp.qmltpeq X1))) (@ (@ (@ tptp.mand (@ tptp.seat U)) (@ (@ tptp.mand (@ tptp.furniture U)) (@ (@ tptp.mand (@ tptp.front U)) (@ (@ tptp.mand (@ tptp.seat V)) (@ (@ tptp.mand (@ tptp.furniture V)) (@ (@ tptp.mand (@ tptp.front V)) (@ (@ tptp.mand (@ tptp.hollywood W)) (@ (@ tptp.mand (@ tptp.city W)) (@ (@ tptp.mand (@ tptp.event X)) (@ (@ tptp.mand (@ tptp.street Y)) (@ (@ tptp.mand (@ tptp.way Y)) (@ (@ tptp.mand (@ tptp.lonely Y)) (@ (@ tptp.mand (@ tptp.chevy Z)) (@ (@ tptp.mand (@ tptp.car Z)) (@ (@ tptp.mand (@ tptp.white Z)) (@ (@ tptp.mand (@ tptp.dirty Z)) (@ (@ tptp.mand (@ tptp.old Z)) (@ (@ tptp.mand (@ (@ tptp.barrel X) Z)) (@ (@ tptp.mand (@ (@ tptp.down X) Y)) (@ (@ tptp.mand (@ (@ tptp.in X) W)) (@ (@ tptp.mand (@ tptp.mnot (@ _let_1 X2))) (@ (@ tptp.mand (@ tptp.fellow X1)) (@ (@ tptp.mand (@ tptp.man X1)) (@ (@ tptp.mand (@ tptp.young X1)) (@ (@ tptp.mand (@ tptp.fellow X2)) (@ (@ tptp.mand (@ tptp.man X2)) (@ (@ tptp.mand (@ tptp.young X2)) (@ (@ tptp.mand (@ _let_1 X4)) (@ (@ tptp.mand (@ (@ tptp.in X4) U)) (@ (@ tptp.mand (@ (@ tptp.qmltpeq X2) X5)) (@ (@ tptp.in X5) V))))))))))))))))))))))))))))))) __flatten_var_0)))) __flatten_var_0))) __flatten_var_0))) __flatten_var_0))) __flatten_var_0))) __flatten_var_0))) __flatten_var_0))) __flatten_var_0))) __flatten_var_0))) __flatten_var_0)))) (@ tptp.mexists_di (lambda ((X6 $$unsorted) (__flatten_var_0 tptp.mworld)) (@ (@ tptp.mexists_di (lambda ((X7 $$unsorted) (__flatten_var_0 tptp.mworld)) (@ (@ tptp.mexists_di (lambda ((X8 $$unsorted) (__flatten_var_0 tptp.mworld)) (@ (@ tptp.mexists_di (lambda ((X9 $$unsorted) (__flatten_var_0 tptp.mworld)) (@ (@ tptp.mexists_di (lambda ((X10 $$unsorted) (__flatten_var_0 tptp.mworld)) (@ (@ tptp.mexists_di (lambda ((X11 $$unsorted) (__flatten_var_0 tptp.mworld)) (@ (@ tptp.mexists_di (lambda ((X12 $$unsorted) (__flatten_var_0 tptp.mworld)) (@ (@ tptp.mexists_di (lambda ((X13 $$unsorted) (__flatten_var_0 tptp.mworld)) (@ (@ tptp.mexists_di (lambda ((X15 $$unsorted) (__flatten_var_0 tptp.mworld)) (@ (@ tptp.mexists_di (lambda ((X16 $$unsorted) (__flatten_var_0 tptp.mworld)) (let ((_let_1 (@ tptp.qmltpeq X12))) (@ (@ (@ tptp.mand (@ tptp.seat X6)) (@ (@ tptp.mand (@ tptp.furniture X6)) (@ (@ tptp.mand (@ tptp.front X6)) (@ (@ tptp.mand (@ tptp.seat X7)) (@ (@ tptp.mand (@ tptp.furniture X7)) (@ (@ tptp.mand (@ tptp.front X7)) (@ (@ tptp.mand (@ tptp.hollywood X8)) (@ (@ tptp.mand (@ tptp.city X8)) (@ (@ tptp.mand (@ tptp.event X9)) (@ (@ tptp.mand (@ tptp.chevy X10)) (@ (@ tptp.mand (@ tptp.car X10)) (@ (@ tptp.mand (@ tptp.white X10)) (@ (@ tptp.mand (@ tptp.dirty X10)) (@ (@ tptp.mand (@ tptp.old X10)) (@ (@ tptp.mand (@ tptp.street X11)) (@ (@ tptp.mand (@ tptp.way X11)) (@ (@ tptp.mand (@ tptp.lonely X11)) (@ (@ tptp.mand (@ (@ tptp.barrel X9) X10)) (@ (@ tptp.mand (@ (@ tptp.down X9) X11)) (@ (@ tptp.mand (@ (@ tptp.in X9) X8)) (@ (@ tptp.mand (@ tptp.mnot (@ _let_1 X13))) (@ (@ tptp.mand (@ tptp.fellow X12)) (@ (@ tptp.mand (@ tptp.man X12)) (@ (@ tptp.mand (@ tptp.young X12)) (@ (@ tptp.mand (@ tptp.fellow X13)) (@ (@ tptp.mand (@ tptp.man X13)) (@ (@ tptp.mand (@ tptp.young X13)) (@ (@ tptp.mand (@ _let_1 X15)) (@ (@ tptp.mand (@ (@ tptp.in X15) X6)) (@ (@ tptp.mand (@ (@ tptp.qmltpeq X13) X16)) (@ (@ tptp.in X16) X7))))))))))))))))))))))))))))))) __flatten_var_0)))) __flatten_var_0))) __flatten_var_0))) __flatten_var_0))) __flatten_var_0))) __flatten_var_0))) __flatten_var_0))) __flatten_var_0))) __flatten_var_0))) __flatten_var_0))))) (@ (@ tptp.mimplies (@ tptp.mexists_di (lambda ((X17 $$unsorted) (__flatten_var_0 tptp.mworld)) (@ (@ tptp.mexists_di (lambda ((X18 $$unsorted) (__flatten_var_0 tptp.mworld)) (@ (@ tptp.mexists_di (lambda ((X19 $$unsorted) (__flatten_var_0 tptp.mworld)) (@ (@ tptp.mexists_di (lambda ((X20 $$unsorted) (__flatten_var_0 tptp.mworld)) (@ (@ tptp.mexists_di (lambda ((X21 $$unsorted) (__flatten_var_0 tptp.mworld)) (@ (@ tptp.mexists_di (lambda ((X22 $$unsorted) (__flatten_var_0 tptp.mworld)) (@ (@ tptp.mexists_di (lambda ((X23 $$unsorted) (__flatten_var_0 tptp.mworld)) (@ (@ tptp.mexists_di (lambda ((X24 $$unsorted) (__flatten_var_0 tptp.mworld)) (@ (@ tptp.mexists_di (lambda ((X26 $$unsorted) (__flatten_var_0 tptp.mworld)) (@ (@ tptp.mexists_di (lambda ((X27 $$unsorted) (__flatten_var_0 tptp.mworld)) (let ((_let_1 (@ tptp.qmltpeq X23))) (@ (@ (@ tptp.mand (@ tptp.seat X17)) (@ (@ tptp.mand (@ tptp.furniture X17)) (@ (@ tptp.mand (@ tptp.front X17)) (@ (@ tptp.mand (@ tptp.seat X18)) (@ (@ tptp.mand (@ tptp.furniture X18)) (@ (@ tptp.mand (@ tptp.front X18)) (@ (@ tptp.mand (@ tptp.hollywood X19)) (@ (@ tptp.mand (@ tptp.city X19)) (@ (@ tptp.mand (@ tptp.event X20)) (@ (@ tptp.mand (@ tptp.chevy X21)) (@ (@ tptp.mand (@ tptp.car X21)) (@ (@ tptp.mand (@ tptp.white X21)) (@ (@ tptp.mand (@ tptp.dirty X21)) (@ (@ tptp.mand (@ tptp.old X21)) (@ (@ tptp.mand (@ tptp.street X22)) (@ (@ tptp.mand (@ tptp.way X22)) (@ (@ tptp.mand (@ tptp.lonely X22)) (@ (@ tptp.mand (@ (@ tptp.barrel X20) X21)) (@ (@ tptp.mand (@ (@ tptp.down X20) X22)) (@ (@ tptp.mand (@ (@ tptp.in X20) X19)) (@ (@ tptp.mand (@ tptp.mnot (@ _let_1 X24))) (@ (@ tptp.mand (@ tptp.fellow X23)) (@ (@ tptp.mand (@ tptp.man X23)) (@ (@ tptp.mand (@ tptp.young X23)) (@ (@ tptp.mand (@ tptp.fellow X24)) (@ (@ tptp.mand (@ tptp.man X24)) (@ (@ tptp.mand (@ tptp.young X24)) (@ (@ tptp.mand (@ _let_1 X26)) (@ (@ tptp.mand (@ (@ tptp.in X26) X17)) (@ (@ tptp.mand (@ (@ tptp.qmltpeq X24) X27)) (@ (@ tptp.in X27) X18))))))))))))))))))))))))))))))) __flatten_var_0)))) __flatten_var_0))) __flatten_var_0))) __flatten_var_0))) __flatten_var_0))) __flatten_var_0))) __flatten_var_0))) __flatten_var_0))) __flatten_var_0))) __flatten_var_0)))) (@ tptp.mexists_di (lambda ((X28 $$unsorted) (__flatten_var_0 tptp.mworld)) (@ (@ tptp.mexists_di (lambda ((X29 $$unsorted) (__flatten_var_0 tptp.mworld)) (@ (@ tptp.mexists_di (lambda ((X30 $$unsorted) (__flatten_var_0 tptp.mworld)) (@ (@ tptp.mexists_di (lambda ((X31 $$unsorted) (__flatten_var_0 tptp.mworld)) (@ (@ tptp.mexists_di (lambda ((X32 $$unsorted) (__flatten_var_0 tptp.mworld)) (@ (@ tptp.mexists_di (lambda ((X33 $$unsorted) (__flatten_var_0 tptp.mworld)) (@ (@ tptp.mexists_di (lambda ((X34 $$unsorted) (__flatten_var_0 tptp.mworld)) (@ (@ tptp.mexists_di (lambda ((X35 $$unsorted) (__flatten_var_0 tptp.mworld)) (@ (@ tptp.mexists_di (lambda ((X37 $$unsorted) (__flatten_var_0 tptp.mworld)) (@ (@ tptp.mexists_di (lambda ((X38 $$unsorted) (__flatten_var_0 tptp.mworld)) (let ((_let_1 (@ tptp.qmltpeq X34))) (@ (@ (@ tptp.mand (@ tptp.seat X28)) (@ (@ tptp.mand (@ tptp.furniture X28)) (@ (@ tptp.mand (@ tptp.front X28)) (@ (@ tptp.mand (@ tptp.seat X29)) (@ (@ tptp.mand (@ tptp.furniture X29)) (@ (@ tptp.mand (@ tptp.front X29)) (@ (@ tptp.mand (@ tptp.hollywood X30)) (@ (@ tptp.mand (@ tptp.city X30)) (@ (@ tptp.mand (@ tptp.event X31)) (@ (@ tptp.mand (@ tptp.street X32)) (@ (@ tptp.mand (@ tptp.way X32)) (@ (@ tptp.mand (@ tptp.lonely X32)) (@ (@ tptp.mand (@ tptp.chevy X33)) (@ (@ tptp.mand (@ tptp.car X33)) (@ (@ tptp.mand (@ tptp.white X33)) (@ (@ tptp.mand (@ tptp.dirty X33)) (@ (@ tptp.mand (@ tptp.old X33)) (@ (@ tptp.mand (@ (@ tptp.barrel X31) X33)) (@ (@ tptp.mand (@ (@ tptp.down X31) X32)) (@ (@ tptp.mand (@ (@ tptp.in X31) X30)) (@ (@ tptp.mand (@ tptp.mnot (@ _let_1 X35))) (@ (@ tptp.mand (@ tptp.fellow X34)) (@ (@ tptp.mand (@ tptp.man X34)) (@ (@ tptp.mand (@ tptp.young X34)) (@ (@ tptp.mand (@ tptp.fellow X35)) (@ (@ tptp.mand (@ tptp.man X35)) (@ (@ tptp.mand (@ tptp.young X35)) (@ (@ tptp.mand (@ _let_1 X37)) (@ (@ tptp.mand (@ (@ tptp.in X37) X28)) (@ (@ tptp.mand (@ (@ tptp.qmltpeq X35) X38)) (@ (@ tptp.in X38) X29))))))))))))))))))))))))))))))) __flatten_var_0)))) __flatten_var_0))) __flatten_var_0))) __flatten_var_0))) __flatten_var_0))) __flatten_var_0))) __flatten_var_0))) __flatten_var_0))) __flatten_var_0))) __flatten_var_0))))))))
% 0.20/0.72 (set-info :filename cvc5---1.0.5_12327)
% 0.20/0.72 (check-sat-assuming ( true ))
% 0.20/0.72 ------- get file name : TPTP file name is NLP004^13
% 0.20/0.72 ------- cvc5-thf : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_12327.smt2...
% 0.20/0.72 --- Run --ho-elim --full-saturate-quant at 10...
% 0.20/0.72 % SZS status Theorem for NLP004^13
% 0.20/0.72 % SZS output start Proof for NLP004^13
% 0.20/0.72 (
% 0.20/0.72 (let ((_let_1 (not (@ tptp.mlocal (@ (@ tptp.mand (@ (@ tptp.mimplies (@ tptp.mexists_di (lambda ((U $$unsorted) (__flatten_var_0 tptp.mworld)) (@ (@ tptp.mexists_di (lambda ((V $$unsorted) (__flatten_var_0 tptp.mworld)) (@ (@ tptp.mexists_di (lambda ((W $$unsorted) (__flatten_var_0 tptp.mworld)) (@ (@ tptp.mexists_di (lambda ((X $$unsorted) (__flatten_var_0 tptp.mworld)) (@ (@ tptp.mexists_di (lambda ((Y $$unsorted) (__flatten_var_0 tptp.mworld)) (@ (@ tptp.mexists_di (lambda ((Z $$unsorted) (__flatten_var_0 tptp.mworld)) (@ (@ tptp.mexists_di (lambda ((X1 $$unsorted) (__flatten_var_0 tptp.mworld)) (@ (@ tptp.mexists_di (lambda ((X2 $$unsorted) (__flatten_var_0 tptp.mworld)) (@ (@ tptp.mexists_di (lambda ((X4 $$unsorted) (__flatten_var_0 tptp.mworld)) (@ (@ tptp.mexists_di (lambda ((X5 $$unsorted) (__flatten_var_0 tptp.mworld)) (let ((_let_1 (@ tptp.qmltpeq X1))) (@ (@ (@ tptp.mand (@ tptp.seat U)) (@ (@ tptp.mand (@ tptp.furniture U)) (@ (@ tptp.mand (@ tptp.front U)) (@ (@ tptp.mand (@ tptp.seat V)) (@ (@ tptp.mand (@ tptp.furniture V)) (@ (@ tptp.mand (@ tptp.front V)) (@ (@ tptp.mand (@ tptp.hollywood W)) (@ (@ tptp.mand (@ tptp.city W)) (@ (@ tptp.mand (@ tptp.event X)) (@ (@ tptp.mand (@ tptp.street Y)) (@ (@ tptp.mand (@ tptp.way Y)) (@ (@ tptp.mand (@ tptp.lonely Y)) (@ (@ tptp.mand (@ tptp.chevy Z)) (@ (@ tptp.mand (@ tptp.car Z)) (@ (@ tptp.mand (@ tptp.white Z)) (@ (@ tptp.mand (@ tptp.dirty Z)) (@ (@ tptp.mand (@ tptp.old Z)) (@ (@ tptp.mand (@ (@ tptp.barrel X) Z)) (@ (@ tptp.mand (@ (@ tptp.down X) Y)) (@ (@ tptp.mand (@ (@ tptp.in X) W)) (@ (@ tptp.mand (@ tptp.mnot (@ _let_1 X2))) (@ (@ tptp.mand (@ tptp.fellow X1)) (@ (@ tptp.mand (@ tptp.man X1)) (@ (@ tptp.mand (@ tptp.young X1)) (@ (@ tptp.mand (@ tptp.fellow X2)) (@ (@ tptp.mand (@ tptp.man X2)) (@ (@ tptp.mand (@ tptp.young X2)) (@ (@ tptp.mand (@ _let_1 X4)) (@ (@ tptp.mand (@ (@ tptp.in X4) U)) (@ (@ tptp.mand (@ (@ tptp.qmltpeq X2) X5)) (@ (@ tptp.in X5) V))))))))))))))))))))))))))))))) __flatten_var_0)))) __flatten_var_0))) __flatten_var_0))) __flatten_var_0))) __flatten_var_0))) __flatten_var_0))) __flatten_var_0))) __flatten_var_0))) __flatten_var_0))) __flatten_var_0)))) (@ tptp.mexists_di (lambda ((X6 $$unsorted) (__flatten_var_0 tptp.mworld)) (@ (@ tptp.mexists_di (lambda ((X7 $$unsorted) (__flatten_var_0 tptp.mworld)) (@ (@ tptp.mexists_di (lambda ((X8 $$unsorted) (__flatten_var_0 tptp.mworld)) (@ (@ tptp.mexists_di (lambda ((X9 $$unsorted) (__flatten_var_0 tptp.mworld)) (@ (@ tptp.mexists_di (lambda ((X10 $$unsorted) (__flatten_var_0 tptp.mworld)) (@ (@ tptp.mexists_di (lambda ((X11 $$unsorted) (__flatten_var_0 tptp.mworld)) (@ (@ tptp.mexists_di (lambda ((X12 $$unsorted) (__flatten_var_0 tptp.mworld)) (@ (@ tptp.mexists_di (lambda ((X13 $$unsorted) (__flatten_var_0 tptp.mworld)) (@ (@ tptp.mexists_di (lambda ((X15 $$unsorted) (__flatten_var_0 tptp.mworld)) (@ (@ tptp.mexists_di (lambda ((X16 $$unsorted) (__flatten_var_0 tptp.mworld)) (let ((_let_1 (@ tptp.qmltpeq X12))) (@ (@ (@ tptp.mand (@ tptp.seat X6)) (@ (@ tptp.mand (@ tptp.furniture X6)) (@ (@ tptp.mand (@ tptp.front X6)) (@ (@ tptp.mand (@ tptp.seat X7)) (@ (@ tptp.mand (@ tptp.furniture X7)) (@ (@ tptp.mand (@ tptp.front X7)) (@ (@ tptp.mand (@ tptp.hollywood X8)) (@ (@ tptp.mand (@ tptp.city X8)) (@ (@ tptp.mand (@ tptp.event X9)) (@ (@ tptp.mand (@ tptp.chevy X10)) (@ (@ tptp.mand (@ tptp.car X10)) (@ (@ tptp.mand (@ tptp.white X10)) (@ (@ tptp.mand (@ tptp.dirty X10)) (@ (@ tptp.mand (@ tptp.old X10)) (@ (@ tptp.mand (@ tptp.street X11)) (@ (@ tptp.mand (@ tptp.way X11)) (@ (@ tptp.mand (@ tptp.lonely X11)) (@ (@ tptp.mand (@ (@ tptp.barrel X9) X10)) (@ (@ tptp.mand (@ (@ tptp.down X9) X11)) (@ (@ tptp.mand (@ (@ tptp.in X9) X8)) (@ (@ tptp.mand (@ tptp.mnot (@ _let_1 X13))) (@ (@ tptp.mand (@ tptp.fellow X12)) (@ (@ tptp.mand (@ tptp.man X12)) (@ (@ tptp.mand (@ tptp.young X12)) (@ (@ tptp.mand (@ tptp.fellow X13)) (@ (@ tptp.mand (@ tptp.man X13)) (@ (@ tptp.mand (@ tptp.young X13)) (@ (@ tptp.mand (@ _let_1 X15)) (@ (@ tptp.mand (@ (@ tptp.in X15) X6)) (@ (@ tptp.mand (@ (@ tptp.qmltpeq X13) X16)) (@ (@ tptp.in X16) X7))))))))))))))))))))))))))))))) __flatten_var_0)))) __flatten_var_0))) __flatten_var_0))) __flatten_var_0))) __flatten_var_0))) __flatten_var_0))) __flatten_var_0))) __flatten_var_0))) __flatten_var_0))) __flatten_var_0))))) (@ (@ tptp.mimplies (@ tptp.mexists_di (lambda ((X17 $$unsorted) (__flatten_var_0 tptp.mworld)) (@ (@ tptp.mexists_di (lambda ((X18 $$unsorted) (__flatten_var_0 tptp.mworld)) (@ (@ tptp.mexists_di (lambda ((X19 $$unsorted) (__flatten_var_0 tptp.mworld)) (@ (@ tptp.mexists_di (lambda ((X20 $$unsorted) (__flatten_var_0 tptp.mworld)) (@ (@ tptp.mexists_di (lambda ((X21 $$unsorted) (__flatten_var_0 tptp.mworld)) (@ (@ tptp.mexists_di (lambda ((X22 $$unsorted) (__flatten_var_0 tptp.mworld)) (@ (@ tptp.mexists_di (lambda ((X23 $$unsorted) (__flatten_var_0 tptp.mworld)) (@ (@ tptp.mexists_di (lambda ((X24 $$unsorted) (__flatten_var_0 tptp.mworld)) (@ (@ tptp.mexists_di (lambda ((X26 $$unsorted) (__flatten_var_0 tptp.mworld)) (@ (@ tptp.mexists_di (lambda ((X27 $$unsorted) (__flatten_var_0 tptp.mworld)) (let ((_let_1 (@ tptp.qmltpeq X23))) (@ (@ (@ tptp.mand (@ tptp.seat X17)) (@ (@ tptp.mand (@ tptp.furniture X17)) (@ (@ tptp.mand (@ tptp.front X17)) (@ (@ tptp.mand (@ tptp.seat X18)) (@ (@ tptp.mand (@ tptp.furniture X18)) (@ (@ tptp.mand (@ tptp.front X18)) (@ (@ tptp.mand (@ tptp.hollywood X19)) (@ (@ tptp.mand (@ tptp.city X19)) (@ (@ tptp.mand (@ tptp.event X20)) (@ (@ tptp.mand (@ tptp.chevy X21)) (@ (@ tptp.mand (@ tptp.car X21)) (@ (@ tptp.mand (@ tptp.white X21)) (@ (@ tptp.mand (@ tptp.dirty X21)) (@ (@ tptp.mand (@ tptp.old X21)) (@ (@ tptp.mand (@ tptp.street X22)) (@ (@ tptp.mand (@ tptp.way X22)) (@ (@ tptp.mand (@ tptp.lonely X22)) (@ (@ tptp.mand (@ (@ tptp.barrel X20) X21)) (@ (@ tptp.mand (@ (@ tptp.down X20) X22)) (@ (@ tptp.mand (@ (@ tptp.in X20) X19)) (@ (@ tptp.mand (@ tptp.mnot (@ _let_1 X24))) (@ (@ tptp.mand (@ tptp.fellow X23)) (@ (@ tptp.mand (@ tptp.man X23)) (@ (@ tptp.mand (@ tptp.young X23)) (@ (@ tptp.mand (@ tptp.fellow X24)) (@ (@ tptp.mand (@ tptp.man X24)) (@ (@ tptp.mand (@ tptp.young X24)) (@ (@ tptp.mand (@ _let_1 X26)) (@ (@ tptp.mand (@ (@ tptp.in X26) X17)) (@ (@ tptp.mand (@ (@ tptp.qmltpeq X24) X27)) (@ (@ tptp.in X27) X18))))))))))))))))))))))))))))))) __flatten_var_0)))) __flatten_var_0))) __flatten_var_0))) __flatten_var_0))) __flatten_var_0))) __flatten_var_0))) __flatten_var_0))) __flatten_var_0))) __flatten_var_0))) __flatten_var_0)))) (@ tptp.mexists_di (lambda ((X28 $$unsorted) (__flatten_var_0 tptp.mworld)) (@ (@ tptp.mexists_di (lambda ((X29 $$unsorted) (__flatten_var_0 tptp.mworld)) (@ (@ tptp.mexists_di (lambda ((X30 $$unsorted) (__flatten_var_0 tptp.mworld)) (@ (@ tptp.mexists_di (lambda ((X31 $$unsorted) (__flatten_var_0 tptp.mworld)) (@ (@ tptp.mexists_di (lambda ((X32 $$unsorted) (__flatten_var_0 tptp.mworld)) (@ (@ tptp.mexists_di (lambda ((X33 $$unsorted) (__flatten_var_0 tptp.mworld)) (@ (@ tptp.mexists_di (lambda ((X34 $$unsorted) (__flatten_var_0 tptp.mworld)) (@ (@ tptp.mexists_di (lambda ((X35 $$unsorted) (__flatten_var_0 tptp.mworld)) (@ (@ tptp.mexists_di (lambda ((X37 $$unsorted) (__flatten_var_0 tptp.mworld)) (@ (@ tptp.mexists_di (lambda ((X38 $$unsorted) (__flatten_var_0 tptp.mworld)) (let ((_let_1 (@ tptp.qmltpeq X34))) (@ (@ (@ tptp.mand (@ tptp.seat X28)) (@ (@ tptp.mand (@ tptp.furniture X28)) (@ (@ tptp.mand (@ tptp.front X28)) (@ (@ tptp.mand (@ tptp.seat X29)) (@ (@ tptp.mand (@ tptp.furniture X29)) (@ (@ tptp.mand (@ tptp.front X29)) (@ (@ tptp.mand (@ tptp.hollywood X30)) (@ (@ tptp.mand (@ tptp.city X30)) (@ (@ tptp.mand (@ tptp.event X31)) (@ (@ tptp.mand (@ tptp.street X32)) (@ (@ tptp.mand (@ tptp.way X32)) (@ (@ tptp.mand (@ tptp.lonely X32)) (@ (@ tptp.mand (@ tptp.chevy X33)) (@ (@ tptp.mand (@ tptp.car X33)) (@ (@ tptp.mand (@ tptp.white X33)) (@ (@ tptp.mand (@ tptp.dirty X33)) (@ (@ tptp.mand (@ tptp.old X33)) (@ (@ tptp.mand (@ (@ tptp.barrel X31) X33)) (@ (@ tptp.mand (@ (@ tptp.down X31) X32)) (@ (@ tptp.mand (@ (@ tptp.in X31) X30)) (@ (@ tptp.mand (@ tptp.mnot (@ _let_1 X35))) (@ (@ tptp.mand (@ tptp.fellow X34)) (@ (@ tptp.mand (@ tptp.man X34)) (@ (@ tptp.mand (@ tptp.young X34)) (@ (@ tptp.mand (@ tptp.fellow X35)) (@ (@ tptp.mand (@ tptp.man X35)) (@ (@ tptp.mand (@ tptp.young X35)) (@ (@ tptp.mand (@ _let_1 X37)) (@ (@ tptp.mand (@ (@ tptp.in X37) X28)) (@ (@ tptp.mand (@ (@ tptp.qmltpeq X35) X38)) (@ (@ tptp.in X38) X29))))))))))))))))))))))))))))))) __flatten_var_0)))) __flatten_var_0))) __flatten_var_0))) __flatten_var_0))) __flatten_var_0))) __flatten_var_0))) __flatten_var_0))) __flatten_var_0))) __flatten_var_0))) __flatten_var_0))))))))) (let ((_let_2 (@ tptp.mlocal (@ tptp.mforall_di (lambda ((X $$unsorted) (__flatten_var_0 tptp.mworld)) (@ (@ (@ tptp.qmltpeq X) X) __flatten_var_0)))))) (let ((_let_3 (= tptp.mexists_di (lambda ((A (-> $$unsorted tptp.mworld Bool)) (W tptp.mworld)) (exists ((X $$unsorted)) (and (@ (@ tptp.eiw_di X) W) (@ (@ A X) W))))))) (let ((_let_4 (= tptp.mforall_di (lambda ((A (-> $$unsorted tptp.mworld Bool)) (W tptp.mworld)) (forall ((X $$unsorted)) (=> (@ (@ tptp.eiw_di X) W) (@ (@ A X) W))))))) (let ((_let_5 (= tptp.mdia (lambda ((Phi (-> tptp.mworld Bool)) (W tptp.mworld)) (exists ((V tptp.mworld)) (and (@ (@ tptp.mrel W) V) (@ Phi V))))))) (let ((_let_6 (= tptp.mbox (lambda ((Phi (-> tptp.mworld Bool)) (W tptp.mworld)) (forall ((V tptp.mworld)) (=> (@ (@ tptp.mrel W) V) (@ Phi V))))))) (let ((_let_7 (= tptp.mequiv (lambda ((A (-> tptp.mworld Bool)) (B (-> tptp.mworld Bool)) (W tptp.mworld)) (= (@ A W) (@ B W)))))) (let ((_let_8 (= tptp.mimplies (lambda ((A (-> tptp.mworld Bool)) (B (-> tptp.mworld Bool)) (W tptp.mworld)) (=> (@ A W) (@ B W)))))) (let ((_let_9 (= tptp.mor (lambda ((A (-> tptp.mworld Bool)) (B (-> tptp.mworld Bool)) (W tptp.mworld)) (or (@ A W) (@ B W)))))) (let ((_let_10 (= tptp.mand (lambda ((A (-> tptp.mworld Bool)) (B (-> tptp.mworld Bool)) (W tptp.mworld)) (and (@ A W) (@ B W)))))) (let ((_let_11 (= tptp.mnot (lambda ((A (-> tptp.mworld Bool)) (W tptp.mworld)) (not (@ A W)))))) (let ((_let_12 (= tptp.mlocal (lambda ((Phi (-> tptp.mworld Bool))) (@ Phi tptp.mactual))))) (let ((_let_13 (forall ((BOUND_VARIABLE_12797 $$unsorted) (BOUND_VARIABLE_12635 $$unsorted) (BOUND_VARIABLE_12633 $$unsorted)) (let ((_let_1 (ho_8 k_7 BOUND_VARIABLE_12633))) (or (not (ho_4 (ho_3 k_2 BOUND_VARIABLE_12797) tptp.mactual)) (not (ho_4 (ho_3 k_24 BOUND_VARIABLE_12797) tptp.mactual)) (not (ho_4 (ho_3 k_18 BOUND_VARIABLE_12797) tptp.mactual)) (not (ho_4 (ho_3 k_17 BOUND_VARIABLE_12797) tptp.mactual)) (not (ho_4 (ho_3 k_2 BOUND_VARIABLE_12633) tptp.mactual)) (ho_4 (ho_3 _let_1 BOUND_VARIABLE_12633) tptp.mactual) (not (ho_4 (ho_3 k_16 BOUND_VARIABLE_12633) tptp.mactual)) (not (ho_4 (ho_3 k_22 BOUND_VARIABLE_12633) tptp.mactual)) (not (ho_4 (ho_3 k_28 BOUND_VARIABLE_12633) tptp.mactual)) (not (ho_4 (ho_3 k_2 BOUND_VARIABLE_12635) tptp.mactual)) (not (ho_4 (ho_3 _let_1 BOUND_VARIABLE_12635) tptp.mactual)) (not (ho_4 (ho_3 (ho_8 k_20 BOUND_VARIABLE_12635) BOUND_VARIABLE_12797) tptp.mactual))))))) (let ((_let_14 (or (forall ((BOUND_VARIABLE_12281 $$unsorted)) (or (not (ho_4 (ho_3 k_2 BOUND_VARIABLE_12281) tptp.mactual)) (not (ho_4 (ho_3 k_11 BOUND_VARIABLE_12281) tptp.mactual)) (not (ho_4 (ho_3 k_10 BOUND_VARIABLE_12281) tptp.mactual)) (not (ho_4 (ho_3 k_27 BOUND_VARIABLE_12281) tptp.mactual)) (not (ho_4 (ho_3 k_13 BOUND_VARIABLE_12281) tptp.mactual)) (not (ho_4 (ho_3 k_23 BOUND_VARIABLE_12281) tptp.mactual)) (not (ho_4 (ho_3 (ho_8 k_9 BOUND_VARIABLE_12281) BOUND_VARIABLE_12281) tptp.mactual)))) (forall ((BOUND_VARIABLE_12460 $$unsorted) (BOUND_VARIABLE_12313 $$unsorted)) (or (not (ho_4 (ho_3 k_2 BOUND_VARIABLE_12460) tptp.mactual)) (not (ho_4 (ho_3 k_15 BOUND_VARIABLE_12460) tptp.mactual)) (not (ho_4 (ho_3 (ho_8 k_20 BOUND_VARIABLE_12460) BOUND_VARIABLE_12460) tptp.mactual)) (not (ho_4 (ho_3 k_2 BOUND_VARIABLE_12313) tptp.mactual)) (not (ho_4 (ho_3 k_25 BOUND_VARIABLE_12313) tptp.mactual)) (not (ho_4 (ho_3 k_26 BOUND_VARIABLE_12313) tptp.mactual)) (not (ho_4 (ho_3 k_21 BOUND_VARIABLE_12313) tptp.mactual)) (not (ho_4 (ho_3 (ho_8 k_14 BOUND_VARIABLE_12460) BOUND_VARIABLE_12313) tptp.mactual)))) (forall ((BOUND_VARIABLE_12614 $$unsorted)) (or (not (ho_4 (ho_3 k_2 BOUND_VARIABLE_12614) tptp.mactual)) (not (ho_4 (ho_3 k_19 BOUND_VARIABLE_12614) tptp.mactual)) (not (ho_4 (ho_3 k_12 BOUND_VARIABLE_12614) tptp.mactual)))) _let_13 (forall ((X $$unsorted) (BOUND_VARIABLE_12824 $$unsorted) (BOUND_VARIABLE_12822 $$unsorted)) (or (not (ho_4 (ho_3 k_2 X) tptp.mactual)) (not (ho_4 (ho_3 k_24 X) tptp.mactual)) (not (ho_4 (ho_3 k_18 X) tptp.mactual)) (not (ho_4 (ho_3 k_17 X) tptp.mactual)) (not (ho_4 (ho_3 k_2 BOUND_VARIABLE_12822) tptp.mactual)) (not (ho_4 (ho_3 k_16 BOUND_VARIABLE_12822) tptp.mactual)) (not (ho_4 (ho_3 k_22 BOUND_VARIABLE_12822) tptp.mactual)) (not (ho_4 (ho_3 k_28 BOUND_VARIABLE_12822) tptp.mactual)) (not (ho_4 (ho_3 k_2 BOUND_VARIABLE_12824) tptp.mactual)) (not (ho_4 (ho_3 (ho_8 k_7 BOUND_VARIABLE_12822) BOUND_VARIABLE_12824) tptp.mactual)) (not (ho_4 (ho_3 (ho_8 k_20 BOUND_VARIABLE_12824) X) tptp.mactual))))))) (let ((_let_15 (not _let_14))) (let ((_let_16 (=> _let_15 (not (or (forall ((BOUND_VARIABLE_14274 $$unsorted)) (or (not (ho_4 (ho_3 k_2 BOUND_VARIABLE_14274) tptp.mactual)) (not (ho_4 (ho_3 k_25 BOUND_VARIABLE_14274) tptp.mactual)) (not (ho_4 (ho_3 k_26 BOUND_VARIABLE_14274) tptp.mactual)) (not (ho_4 (ho_3 k_21 BOUND_VARIABLE_14274) tptp.mactual)) (not (ho_4 (ho_3 (ho_8 k_14 BOUND_VARIABLE_14274) BOUND_VARIABLE_14274) tptp.mactual)))) (forall ((BOUND_VARIABLE_14453 $$unsorted) (BOUND_VARIABLE_14300 $$unsorted)) (or (not (ho_4 (ho_3 k_2 BOUND_VARIABLE_14453) tptp.mactual)) (not (ho_4 (ho_3 k_15 BOUND_VARIABLE_14453) 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(ho_4 (ho_3 k_24 BOUND_VARIABLE_14790) tptp.mactual)) (not (ho_4 (ho_3 k_18 BOUND_VARIABLE_14790) tptp.mactual)) (not (ho_4 (ho_3 k_17 BOUND_VARIABLE_14790) tptp.mactual)) (not (ho_4 (ho_3 k_2 BOUND_VARIABLE_14626) tptp.mactual)) (ho_4 (ho_3 _let_1 BOUND_VARIABLE_14626) tptp.mactual) (not (ho_4 (ho_3 k_16 BOUND_VARIABLE_14626) tptp.mactual)) (not (ho_4 (ho_3 k_22 BOUND_VARIABLE_14626) tptp.mactual)) (not (ho_4 (ho_3 k_28 BOUND_VARIABLE_14626) tptp.mactual)) (not (ho_4 (ho_3 k_2 BOUND_VARIABLE_14628) tptp.mactual)) (not (ho_4 (ho_3 _let_1 BOUND_VARIABLE_14628) tptp.mactual)) (not (ho_4 (ho_3 (ho_8 k_20 BOUND_VARIABLE_14628) BOUND_VARIABLE_14790) tptp.mactual))))) (forall ((X $$unsorted) (BOUND_VARIABLE_14817 $$unsorted) (BOUND_VARIABLE_14815 $$unsorted)) (or (not (ho_4 (ho_3 k_2 X) tptp.mactual)) (not (ho_4 (ho_3 k_24 X) tptp.mactual)) (not (ho_4 (ho_3 k_18 X) tptp.mactual)) (not (ho_4 (ho_3 k_17 X) tptp.mactual)) (not (ho_4 (ho_3 k_2 BOUND_VARIABLE_14815) tptp.mactual)) (not (ho_4 (ho_3 k_16 BOUND_VARIABLE_14815) tptp.mactual)) (not (ho_4 (ho_3 k_22 BOUND_VARIABLE_14815) tptp.mactual)) (not (ho_4 (ho_3 k_28 BOUND_VARIABLE_14815) tptp.mactual)) (not (ho_4 (ho_3 k_2 BOUND_VARIABLE_14817) tptp.mactual)) (not (ho_4 (ho_3 (ho_8 k_7 BOUND_VARIABLE_14815) BOUND_VARIABLE_14817) tptp.mactual)) (not (ho_4 (ho_3 (ho_8 k_20 BOUND_VARIABLE_14817) X) tptp.mactual))))))))) (let ((_let_17 (forall ((BOUND_VARIABLE_8626 $$unsorted) (BOUND_VARIABLE_8464 $$unsorted) (BOUND_VARIABLE_8462 $$unsorted)) (let ((_let_1 (ho_8 k_7 BOUND_VARIABLE_8462))) (or (not (ho_4 (ho_3 k_2 BOUND_VARIABLE_8626) tptp.mactual)) (not (ho_4 (ho_3 k_24 BOUND_VARIABLE_8626) tptp.mactual)) (not (ho_4 (ho_3 k_18 BOUND_VARIABLE_8626) tptp.mactual)) (not (ho_4 (ho_3 k_17 BOUND_VARIABLE_8626) tptp.mactual)) (not (ho_4 (ho_3 k_2 BOUND_VARIABLE_8462) tptp.mactual)) (ho_4 (ho_3 _let_1 BOUND_VARIABLE_8462) tptp.mactual) (not (ho_4 (ho_3 k_16 BOUND_VARIABLE_8462) tptp.mactual)) (not (ho_4 (ho_3 k_22 BOUND_VARIABLE_8462) tptp.mactual)) (not (ho_4 (ho_3 k_28 BOUND_VARIABLE_8462) tptp.mactual)) (not (ho_4 (ho_3 k_2 BOUND_VARIABLE_8464) tptp.mactual)) (not (ho_4 (ho_3 _let_1 BOUND_VARIABLE_8464) tptp.mactual)) (not (ho_4 (ho_3 (ho_8 k_20 BOUND_VARIABLE_8464) BOUND_VARIABLE_8626) tptp.mactual))))))) (let ((_let_18 (ho_8 k_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_35))) (let ((_let_19 (ho_4 (ho_3 _let_18 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_35) tptp.mactual))) (let ((_let_20 (ho_4 (ho_3 k_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_35) tptp.mactual))) (let ((_let_21 (not _let_20))) (let ((_let_22 (or (not (ho_4 (ho_3 k_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_33) tptp.mactual)) (not (ho_4 (ho_3 k_24 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_33) tptp.mactual)) (not (ho_4 (ho_3 k_18 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_33) tptp.mactual)) (not (ho_4 (ho_3 k_17 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_33) tptp.mactual)) _let_21 _let_19 (not (ho_4 (ho_3 k_16 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_35) tptp.mactual)) (not (ho_4 (ho_3 k_22 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_35) tptp.mactual)) (not (ho_4 (ho_3 k_28 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_35) tptp.mactual)) (not (ho_4 (ho_3 k_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_34) tptp.mactual)) (not (ho_4 (ho_3 _let_18 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_34) tptp.mactual)) (not (ho_4 (ho_3 (ho_8 k_20 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_34) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_33) tptp.mactual))))) (let ((_let_23 (or _let_21 _let_19))) (let ((_let_24 (or))) (let ((_let_25 (forall ((X $$unsorted)) (or (not (ho_4 (ho_3 k_2 X) tptp.mactual)) (ho_4 (ho_3 (ho_8 k_7 X) X) tptp.mactual))))) (let ((_let_26 (AND_INTRO (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))) (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT))) (EQ_RESOLVE (ASSUME :args (_let_5)) (MACRO_SR_EQ_INTRO :args (_let_5 SB_DEFAULT SBA_FIXPOINT))) (EQ_RESOLVE (ASSUME :args (_let_6)) (MACRO_SR_EQ_INTRO :args (_let_6 SB_DEFAULT SBA_FIXPOINT))) (ASSUME :args (_let_7)) (ASSUME :args (_let_8)) (ASSUME :args (_let_9)) (ASSUME :args (_let_10)) (ASSUME :args (_let_11)) (ASSUME :args (_let_12))))) (let ((_let_27 (EQ_RESOLVE (ASSUME :args (_let_2)) (TRANS (MACRO_SR_EQ_INTRO _let_26 :args (_let_2 SB_DEFAULT SBA_FIXPOINT)) (PREPROCESS :args ((= (forall ((X $$unsorted)) (or (not (@ (@ tptp.eiw_di X) tptp.mactual)) (@ (@ (@ tptp.qmltpeq X) X) tptp.mactual))) _let_25))))))) (let ((_let_28 (not _let_17))) (let ((_let_29 (_let_28))) (let ((_let_30 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_29)) :args _let_29)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_28) _let_17))) (REFL :args ((not _let_22))) :args _let_24)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_23)) :args ((or _let_21 _let_19 (not _let_23)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_27 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_35 QUANTIFIERS_INST_CBQI_CONFLICT)) :args (_let_25))) _let_27 :args (_let_23 false _let_25)) (CNF_OR_NEG :args (_let_22 5)) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_22 4)) (CONG (REFL :args (_let_22)) (MACRO_SR_PRED_INTRO :args ((= (not _let_21) _let_20))) :args _let_24)) :args ((or _let_20 _let_22))) :args (_let_22 false _let_23 true _let_19 false _let_20)) :args (_let_17 false _let_22)))) (let ((_let_31 (or (forall ((BOUND_VARIABLE_8090 $$unsorted)) (or (not (ho_4 (ho_3 k_2 BOUND_VARIABLE_8090) tptp.mactual)) (not (ho_4 (ho_3 k_25 BOUND_VARIABLE_8090) tptp.mactual)) (not (ho_4 (ho_3 k_26 BOUND_VARIABLE_8090) tptp.mactual)) (not (ho_4 (ho_3 k_21 BOUND_VARIABLE_8090) tptp.mactual)) (not (ho_4 (ho_3 (ho_8 k_14 BOUND_VARIABLE_8090) BOUND_VARIABLE_8090) tptp.mactual)))) (forall ((BOUND_VARIABLE_8278 $$unsorted) (BOUND_VARIABLE_8116 $$unsorted)) (or (not (ho_4 (ho_3 k_2 BOUND_VARIABLE_8278) tptp.mactual)) (not (ho_4 (ho_3 k_15 BOUND_VARIABLE_8278) tptp.mactual)) (not (ho_4 (ho_3 (ho_8 k_20 BOUND_VARIABLE_8278) BOUND_VARIABLE_8278) tptp.mactual)) (not (ho_4 (ho_3 k_2 BOUND_VARIABLE_8116) tptp.mactual)) (not (ho_4 (ho_3 k_11 BOUND_VARIABLE_8116) tptp.mactual)) (not (ho_4 (ho_3 k_10 BOUND_VARIABLE_8116) tptp.mactual)) (not (ho_4 (ho_3 k_27 BOUND_VARIABLE_8116) tptp.mactual)) (not (ho_4 (ho_3 k_13 BOUND_VARIABLE_8116) tptp.mactual)) (not (ho_4 (ho_3 k_23 BOUND_VARIABLE_8116) tptp.mactual)) (not (ho_4 (ho_3 (ho_8 k_9 BOUND_VARIABLE_8278) BOUND_VARIABLE_8116) tptp.mactual)))) (forall ((BOUND_VARIABLE_8443 $$unsorted)) (or (not (ho_4 (ho_3 k_2 BOUND_VARIABLE_8443) tptp.mactual)) (not (ho_4 (ho_3 k_19 BOUND_VARIABLE_8443) tptp.mactual)) (not (ho_4 (ho_3 k_12 BOUND_VARIABLE_8443) tptp.mactual)))) _let_17 (forall ((X $$unsorted) (BOUND_VARIABLE_8653 $$unsorted) (BOUND_VARIABLE_8651 $$unsorted)) (or (not (ho_4 (ho_3 k_2 X) tptp.mactual)) (not (ho_4 (ho_3 k_24 X) tptp.mactual)) (not (ho_4 (ho_3 k_18 X) tptp.mactual)) (not (ho_4 (ho_3 k_17 X) tptp.mactual)) (not (ho_4 (ho_3 k_2 BOUND_VARIABLE_8651) tptp.mactual)) (not (ho_4 (ho_3 k_16 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(or (not (ho_4 (ho_3 k_2 BOUND_VARIABLE_10289) tptp.mactual)) (not (ho_4 (ho_3 k_15 BOUND_VARIABLE_10289) tptp.mactual)) (not (ho_4 (ho_3 (ho_8 k_20 BOUND_VARIABLE_10289) BOUND_VARIABLE_10289) tptp.mactual)) (not (ho_4 (ho_3 k_2 BOUND_VARIABLE_10142) tptp.mactual)) (not (ho_4 (ho_3 k_25 BOUND_VARIABLE_10142) tptp.mactual)) (not (ho_4 (ho_3 k_26 BOUND_VARIABLE_10142) tptp.mactual)) (not (ho_4 (ho_3 k_21 BOUND_VARIABLE_10142) tptp.mactual)) (not (ho_4 (ho_3 (ho_8 k_14 BOUND_VARIABLE_10289) BOUND_VARIABLE_10142) tptp.mactual)))) (forall ((BOUND_VARIABLE_10443 $$unsorted)) (or (not (ho_4 (ho_3 k_2 BOUND_VARIABLE_10443) tptp.mactual)) (not (ho_4 (ho_3 k_19 BOUND_VARIABLE_10443) tptp.mactual)) (not (ho_4 (ho_3 k_12 BOUND_VARIABLE_10443) tptp.mactual)))) (forall ((BOUND_VARIABLE_10626 $$unsorted) (BOUND_VARIABLE_10464 $$unsorted) (BOUND_VARIABLE_10462 $$unsorted)) (let ((_let_1 (ho_8 k_7 BOUND_VARIABLE_10462))) (or (not (ho_4 (ho_3 k_2 BOUND_VARIABLE_10626) tptp.mactual)) (not (ho_4 (ho_3 k_24 BOUND_VARIABLE_10626) tptp.mactual)) (not (ho_4 (ho_3 k_18 BOUND_VARIABLE_10626) tptp.mactual)) (not (ho_4 (ho_3 k_17 BOUND_VARIABLE_10626) tptp.mactual)) (not (ho_4 (ho_3 k_2 BOUND_VARIABLE_10462) tptp.mactual)) (ho_4 (ho_3 _let_1 BOUND_VARIABLE_10462) tptp.mactual) (not (ho_4 (ho_3 k_16 BOUND_VARIABLE_10462) tptp.mactual)) (not (ho_4 (ho_3 k_22 BOUND_VARIABLE_10462) tptp.mactual)) (not (ho_4 (ho_3 k_28 BOUND_VARIABLE_10462) tptp.mactual)) (not (ho_4 (ho_3 k_2 BOUND_VARIABLE_10464) tptp.mactual)) (not (ho_4 (ho_3 _let_1 BOUND_VARIABLE_10464) tptp.mactual)) (not (ho_4 (ho_3 (ho_8 k_20 BOUND_VARIABLE_10464) BOUND_VARIABLE_10626) tptp.mactual))))) (forall ((X $$unsorted) (BOUND_VARIABLE_10653 $$unsorted) (BOUND_VARIABLE_10651 $$unsorted)) (or (not (ho_4 (ho_3 k_2 X) tptp.mactual)) (not (ho_4 (ho_3 k_24 X) tptp.mactual)) (not (ho_4 (ho_3 k_18 X) tptp.mactual)) (not (ho_4 (ho_3 k_17 X) tptp.mactual)) (not (ho_4 (ho_3 k_2 BOUND_VARIABLE_10651) tptp.mactual)) (not (ho_4 (ho_3 k_16 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((BOUND_VARIABLE_8626 $$unsorted) (BOUND_VARIABLE_8464 $$unsorted) (BOUND_VARIABLE_8462 $$unsorted)) (let ((_let_1 (@ tptp.qmltpeq BOUND_VARIABLE_8462))) (or (not (@ (@ tptp.eiw_di BOUND_VARIABLE_8626) tptp.mactual)) (not (@ (@ tptp.seat BOUND_VARIABLE_8626) tptp.mactual)) (not (@ (@ tptp.furniture BOUND_VARIABLE_8626) tptp.mactual)) (not (@ (@ tptp.front BOUND_VARIABLE_8626) tptp.mactual)) (not (@ (@ tptp.eiw_di BOUND_VARIABLE_8462) tptp.mactual)) (@ (@ _let_1 BOUND_VARIABLE_8462) tptp.mactual) (not (@ (@ tptp.fellow BOUND_VARIABLE_8462) tptp.mactual)) (not (@ (@ tptp.man BOUND_VARIABLE_8462) tptp.mactual)) (not (@ (@ tptp.young BOUND_VARIABLE_8462) tptp.mactual)) (not (@ (@ tptp.eiw_di BOUND_VARIABLE_8464) tptp.mactual)) (not (@ (@ _let_1 BOUND_VARIABLE_8464) tptp.mactual)) (not (@ (@ (@ tptp.in BOUND_VARIABLE_8464) BOUND_VARIABLE_8626) tptp.mactual))))) (forall ((X $$unsorted) (BOUND_VARIABLE_8653 $$unsorted) (BOUND_VARIABLE_8651 $$unsorted)) (or (not (@ (@ tptp.eiw_di X) tptp.mactual)) (not (@ (@ tptp.seat X) tptp.mactual)) (not (@ (@ tptp.furniture X) tptp.mactual)) (not (@ (@ tptp.front X) tptp.mactual)) (not (@ (@ tptp.eiw_di BOUND_VARIABLE_8651) tptp.mactual)) (not (@ (@ tptp.fellow BOUND_VARIABLE_8651) tptp.mactual)) (not (@ (@ tptp.man BOUND_VARIABLE_8651) tptp.mactual)) (not (@ (@ tptp.young BOUND_VARIABLE_8651) tptp.mactual)) (not (@ (@ tptp.eiw_di BOUND_VARIABLE_8653) tptp.mactual)) (not (@ (@ (@ tptp.qmltpeq BOUND_VARIABLE_8651) BOUND_VARIABLE_8653) tptp.mactual)) (not (@ (@ (@ tptp.in BOUND_VARIABLE_8653) X) tptp.mactual)))))) (not (or (forall ((BOUND_VARIABLE_10110 $$unsorted)) (or (not (@ (@ tptp.eiw_di BOUND_VARIABLE_10110) tptp.mactual)) (not (@ (@ tptp.chevy BOUND_VARIABLE_10110) tptp.mactual)) (not (@ (@ tptp.car BOUND_VARIABLE_10110) tptp.mactual)) (not (@ (@ tptp.white BOUND_VARIABLE_10110) tptp.mactual)) (not (@ (@ tptp.dirty BOUND_VARIABLE_10110) tptp.mactual)) (not (@ (@ tptp.old BOUND_VARIABLE_10110) tptp.mactual)) (not (@ (@ (@ tptp.barrel BOUND_VARIABLE_10110) BOUND_VARIABLE_10110) tptp.mactual)))) (forall ((BOUND_VARIABLE_10289 $$unsorted) (BOUND_VARIABLE_10142 $$unsorted)) (or (not (@ (@ tptp.eiw_di BOUND_VARIABLE_10289) tptp.mactual)) (not (@ (@ tptp.event BOUND_VARIABLE_10289) tptp.mactual)) (not (@ (@ (@ tptp.in BOUND_VARIABLE_10289) BOUND_VARIABLE_10289) tptp.mactual)) (not (@ (@ tptp.eiw_di BOUND_VARIABLE_10142) tptp.mactual)) (not (@ (@ tptp.street BOUND_VARIABLE_10142) tptp.mactual)) (not (@ (@ tptp.way BOUND_VARIABLE_10142) tptp.mactual)) (not (@ (@ tptp.lonely BOUND_VARIABLE_10142) tptp.mactual)) (not (@ (@ (@ tptp.down BOUND_VARIABLE_10289) BOUND_VARIABLE_10142) tptp.mactual)))) (forall ((BOUND_VARIABLE_10443 $$unsorted)) (or (not (@ (@ tptp.eiw_di BOUND_VARIABLE_10443) tptp.mactual)) (not (@ (@ tptp.hollywood BOUND_VARIABLE_10443) tptp.mactual)) (not (@ (@ tptp.city BOUND_VARIABLE_10443) tptp.mactual)))) (forall ((BOUND_VARIABLE_10626 $$unsorted) (BOUND_VARIABLE_10464 $$unsorted) (BOUND_VARIABLE_10462 $$unsorted)) (let ((_let_1 (@ tptp.qmltpeq BOUND_VARIABLE_10462))) (or (not (@ (@ tptp.eiw_di BOUND_VARIABLE_10626) tptp.mactual)) (not (@ (@ tptp.seat BOUND_VARIABLE_10626) tptp.mactual)) (not (@ (@ tptp.furniture BOUND_VARIABLE_10626) tptp.mactual)) (not (@ (@ tptp.front BOUND_VARIABLE_10626) tptp.mactual)) (not (@ (@ tptp.eiw_di BOUND_VARIABLE_10462) tptp.mactual)) (@ (@ _let_1 BOUND_VARIABLE_10462) tptp.mactual) (not (@ (@ tptp.fellow BOUND_VARIABLE_10462) tptp.mactual)) (not (@ (@ tptp.man BOUND_VARIABLE_10462) tptp.mactual)) (not (@ (@ tptp.young BOUND_VARIABLE_10462) tptp.mactual)) (not (@ (@ tptp.eiw_di BOUND_VARIABLE_10464) tptp.mactual)) (not (@ (@ _let_1 BOUND_VARIABLE_10464) tptp.mactual)) (not (@ (@ (@ tptp.in BOUND_VARIABLE_10464) BOUND_VARIABLE_10626) tptp.mactual))))) (forall ((X $$unsorted) (BOUND_VARIABLE_10653 $$unsorted) (BOUND_VARIABLE_10651 $$unsorted)) (or (not (@ (@ tptp.eiw_di X) tptp.mactual)) (not (@ (@ tptp.seat X) tptp.mactual)) (not (@ (@ tptp.furniture X) tptp.mactual)) (not (@ (@ tptp.front X) tptp.mactual)) (not (@ (@ tptp.eiw_di BOUND_VARIABLE_10651) tptp.mactual)) (not (@ (@ tptp.fellow BOUND_VARIABLE_10651) tptp.mactual)) (not (@ (@ tptp.man BOUND_VARIABLE_10651) tptp.mactual)) (not (@ (@ tptp.young BOUND_VARIABLE_10651) tptp.mactual)) (not (@ (@ tptp.eiw_di BOUND_VARIABLE_10653) tptp.mactual)) (not (@ (@ (@ tptp.qmltpeq BOUND_VARIABLE_10651) BOUND_VARIABLE_10653) tptp.mactual)) (not (@ (@ (@ tptp.in BOUND_VARIABLE_10653) X) tptp.mactual))))))) (=> (not (or (forall ((BOUND_VARIABLE_12281 $$unsorted)) (or (not (@ (@ tptp.eiw_di BOUND_VARIABLE_12281) tptp.mactual)) (not (@ (@ tptp.chevy BOUND_VARIABLE_12281) tptp.mactual)) (not (@ (@ tptp.car BOUND_VARIABLE_12281) tptp.mactual)) (not (@ (@ tptp.white BOUND_VARIABLE_12281) tptp.mactual)) (not (@ (@ tptp.dirty BOUND_VARIABLE_12281) tptp.mactual)) (not (@ (@ tptp.old BOUND_VARIABLE_12281) tptp.mactual)) (not (@ (@ (@ tptp.barrel BOUND_VARIABLE_12281) BOUND_VARIABLE_12281) tptp.mactual)))) (forall ((BOUND_VARIABLE_12460 $$unsorted) (BOUND_VARIABLE_12313 $$unsorted)) (or (not (@ (@ tptp.eiw_di BOUND_VARIABLE_12460) tptp.mactual)) (not (@ (@ tptp.event BOUND_VARIABLE_12460) tptp.mactual)) (not (@ (@ (@ tptp.in BOUND_VARIABLE_12460) BOUND_VARIABLE_12460) tptp.mactual)) (not (@ (@ tptp.eiw_di BOUND_VARIABLE_12313) tptp.mactual)) (not (@ (@ tptp.street BOUND_VARIABLE_12313) tptp.mactual)) (not (@ (@ tptp.way BOUND_VARIABLE_12313) tptp.mactual)) (not (@ (@ tptp.lonely BOUND_VARIABLE_12313) tptp.mactual)) (not (@ (@ (@ tptp.down BOUND_VARIABLE_12460) BOUND_VARIABLE_12313) tptp.mactual)))) (forall ((BOUND_VARIABLE_12614 $$unsorted)) (or (not (@ (@ tptp.eiw_di BOUND_VARIABLE_12614) tptp.mactual)) (not (@ (@ tptp.hollywood BOUND_VARIABLE_12614) tptp.mactual)) (not (@ (@ tptp.city BOUND_VARIABLE_12614) tptp.mactual)))) (forall ((BOUND_VARIABLE_12797 $$unsorted) (BOUND_VARIABLE_12635 $$unsorted) (BOUND_VARIABLE_12633 $$unsorted)) (let ((_let_1 (@ tptp.qmltpeq BOUND_VARIABLE_12633))) (or (not (@ (@ tptp.eiw_di BOUND_VARIABLE_12797) tptp.mactual)) (not (@ (@ tptp.seat BOUND_VARIABLE_12797) tptp.mactual)) (not (@ (@ tptp.furniture BOUND_VARIABLE_12797) tptp.mactual)) (not (@ (@ tptp.front BOUND_VARIABLE_12797) tptp.mactual)) (not (@ (@ tptp.eiw_di BOUND_VARIABLE_12633) tptp.mactual)) (@ (@ _let_1 BOUND_VARIABLE_12633) tptp.mactual) (not (@ (@ tptp.fellow BOUND_VARIABLE_12633) tptp.mactual)) (not (@ (@ tptp.man BOUND_VARIABLE_12633) tptp.mactual)) (not (@ (@ tptp.young BOUND_VARIABLE_12633) tptp.mactual)) (not (@ (@ tptp.eiw_di BOUND_VARIABLE_12635) tptp.mactual)) (not (@ (@ _let_1 BOUND_VARIABLE_12635) tptp.mactual)) (not (@ (@ (@ tptp.in BOUND_VARIABLE_12635) BOUND_VARIABLE_12797) tptp.mactual))))) (forall ((X $$unsorted) (BOUND_VARIABLE_12824 $$unsorted) (BOUND_VARIABLE_12822 $$unsorted)) (or (not (@ (@ tptp.eiw_di X) tptp.mactual)) (not (@ (@ tptp.seat X) tptp.mactual)) (not (@ (@ tptp.furniture X) tptp.mactual)) (not (@ (@ tptp.front X) tptp.mactual)) (not (@ (@ tptp.eiw_di BOUND_VARIABLE_12822) tptp.mactual)) (not (@ (@ tptp.fellow BOUND_VARIABLE_12822) tptp.mactual)) (not (@ (@ tptp.man BOUND_VARIABLE_12822) tptp.mactual)) (not (@ (@ tptp.young BOUND_VARIABLE_12822) tptp.mactual)) (not (@ (@ tptp.eiw_di BOUND_VARIABLE_12824) tptp.mactual)) (not (@ (@ (@ tptp.qmltpeq BOUND_VARIABLE_12822) BOUND_VARIABLE_12824) tptp.mactual)) (not (@ (@ (@ tptp.in BOUND_VARIABLE_12824) X) tptp.mactual)))))) (not (or (forall ((BOUND_VARIABLE_14274 $$unsorted)) (or (not (@ (@ tptp.eiw_di BOUND_VARIABLE_14274) tptp.mactual)) (not (@ (@ tptp.street BOUND_VARIABLE_14274) tptp.mactual)) (not (@ (@ tptp.way BOUND_VARIABLE_14274) tptp.mactual)) (not (@ (@ tptp.lonely BOUND_VARIABLE_14274) tptp.mactual)) (not (@ (@ (@ tptp.down BOUND_VARIABLE_14274) BOUND_VARIABLE_14274) tptp.mactual)))) (forall ((BOUND_VARIABLE_14453 $$unsorted) (BOUND_VARIABLE_14300 $$unsorted)) (or (not (@ (@ tptp.eiw_di BOUND_VARIABLE_14453) tptp.mactual)) (not (@ (@ tptp.event BOUND_VARIABLE_14453) tptp.mactual)) (not (@ (@ (@ tptp.in BOUND_VARIABLE_14453) BOUND_VARIABLE_14453) tptp.mactual)) (not (@ (@ tptp.eiw_di BOUND_VARIABLE_14300) tptp.mactual)) (not (@ (@ tptp.chevy BOUND_VARIABLE_14300) tptp.mactual)) (not (@ (@ tptp.car BOUND_VARIABLE_14300) tptp.mactual)) (not (@ (@ tptp.white BOUND_VARIABLE_14300) tptp.mactual)) (not (@ (@ tptp.dirty BOUND_VARIABLE_14300) tptp.mactual)) (not (@ (@ tptp.old BOUND_VARIABLE_14300) tptp.mactual)) (not (@ (@ (@ tptp.barrel BOUND_VARIABLE_14453) BOUND_VARIABLE_14300) tptp.mactual)))) (forall ((BOUND_VARIABLE_14607 $$unsorted)) (or (not (@ (@ tptp.eiw_di BOUND_VARIABLE_14607) tptp.mactual)) (not (@ (@ tptp.hollywood BOUND_VARIABLE_14607) tptp.mactual)) (not (@ (@ tptp.city BOUND_VARIABLE_14607) tptp.mactual)))) (forall ((BOUND_VARIABLE_14790 $$unsorted) (BOUND_VARIABLE_14628 $$unsorted) (BOUND_VARIABLE_14626 $$unsorted)) (let ((_let_1 (@ tptp.qmltpeq BOUND_VARIABLE_14626))) (or (not (@ (@ tptp.eiw_di BOUND_VARIABLE_14790) tptp.mactual)) (not (@ (@ tptp.seat BOUND_VARIABLE_14790) tptp.mactual)) (not (@ (@ tptp.furniture BOUND_VARIABLE_14790) tptp.mactual)) (not (@ (@ tptp.front BOUND_VARIABLE_14790) tptp.mactual)) (not (@ (@ tptp.eiw_di BOUND_VARIABLE_14626) tptp.mactual)) (@ (@ _let_1 BOUND_VARIABLE_14626) tptp.mactual) (not (@ (@ tptp.fellow BOUND_VARIABLE_14626) tptp.mactual)) (not (@ (@ tptp.man BOUND_VARIABLE_14626) tptp.mactual)) (not (@ (@ tptp.young BOUND_VARIABLE_14626) tptp.mactual)) (not (@ (@ tptp.eiw_di BOUND_VARIABLE_14628) tptp.mactual)) (not (@ (@ _let_1 BOUND_VARIABLE_14628) tptp.mactual)) (not (@ (@ (@ tptp.in BOUND_VARIABLE_14628) BOUND_VARIABLE_14790) tptp.mactual))))) (forall ((X $$unsorted) (BOUND_VARIABLE_14817 $$unsorted) (BOUND_VARIABLE_14815 $$unsorted)) (or (not (@ (@ tptp.eiw_di X) tptp.mactual)) (not (@ (@ tptp.seat X) tptp.mactual)) (not (@ (@ tptp.furniture X) tptp.mactual)) (not (@ (@ tptp.front X) tptp.mactual)) (not (@ (@ tptp.eiw_di BOUND_VARIABLE_14815) tptp.mactual)) (not (@ (@ tptp.fellow BOUND_VARIABLE_14815) tptp.mactual)) (not (@ (@ tptp.man BOUND_VARIABLE_14815) tptp.mactual)) (not (@ (@ tptp.young BOUND_VARIABLE_14815) tptp.mactual)) (not (@ (@ tptp.eiw_di BOUND_VARIABLE_14817) tptp.mactual)) (not (@ (@ (@ tptp.qmltpeq BOUND_VARIABLE_14815) BOUND_VARIABLE_14817) tptp.mactual)) (not (@ (@ (@ tptp.in BOUND_VARIABLE_14817) X) tptp.mactual))))))))) (not (and _let_33 _let_16)))))))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_IMPLIES_NEG1 :args (_let_33)) :args ((or _let_32 _let_33))) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_31 3)) _let_30 :args (_let_31 false _let_17)) :args (_let_33 false _let_31)) :args ((not _let_16) false _let_33)) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_14 3)) (MACRO_RESOLUTION_TRUST (EQUIV_ELIM2 (SYMM (ALPHA_EQUIV :args (_let_17 (= BOUND_VARIABLE_8464 BOUND_VARIABLE_12635) (= BOUND_VARIABLE_8626 BOUND_VARIABLE_12797) (= BOUND_VARIABLE_8462 BOUND_VARIABLE_12633))))) _let_30 :args (_let_13 false _let_17)) :args (_let_14 false _let_13)) :args (false true _let_16 false _let_14)) :args (_let_12 _let_11 _let_10 _let_9 _let_8 _let_7 _let_6 _let_5 (forall ((W tptp.mworld)) (exists ((X $$unsorted)) (@ (@ tptp.eiw_di X) W))) (forall ((W tptp.mworld) (V tptp.mworld) (X $$unsorted)) (let ((_let_1 (@ tptp.eiw_di X))) (=> (and (@ _let_1 W) (@ (@ tptp.mrel W) V)) (@ _let_1 V)))) _let_4 _let_3 _let_2 (@ tptp.mlocal (@ tptp.mforall_di (lambda ((X $$unsorted) (__flatten_var_0 tptp.mworld)) (@ (@ tptp.mforall_di (lambda ((Y $$unsorted) (__flatten_var_0 tptp.mworld)) (@ (@ (@ tptp.mimplies (@ (@ tptp.qmltpeq X) Y)) (@ (@ tptp.qmltpeq Y) X)) __flatten_var_0))) __flatten_var_0)))) (@ tptp.mlocal (@ tptp.mforall_di (lambda ((X $$unsorted) (__flatten_var_0 tptp.mworld)) (@ (@ tptp.mforall_di (lambda ((Y $$unsorted) (__flatten_var_0 tptp.mworld)) (@ (@ tptp.mforall_di (lambda ((Z $$unsorted) (__flatten_var_0 tptp.mworld)) (let ((_let_1 (@ tptp.qmltpeq X))) (@ (@ (@ tptp.mimplies (@ (@ tptp.mand (@ _let_1 Y)) (@ (@ tptp.qmltpeq Y) Z))) (@ _let_1 Z)) __flatten_var_0)))) __flatten_var_0))) __flatten_var_0)))) (@ tptp.mlocal (@ tptp.mforall_di (lambda ((A $$unsorted) (__flatten_var_0 tptp.mworld)) (@ (@ tptp.mforall_di (lambda ((B $$unsorted) (__flatten_var_0 tptp.mworld)) (@ (@ tptp.mforall_di (lambda ((C $$unsorted) (__flatten_var_0 tptp.mworld)) (@ (@ (@ tptp.mimplies (@ (@ tptp.mand (@ (@ tptp.qmltpeq A) B)) (@ (@ tptp.barrel A) C))) (@ (@ tptp.barrel B) C)) __flatten_var_0))) __flatten_var_0))) __flatten_var_0)))) (@ tptp.mlocal (@ tptp.mforall_di (lambda ((A $$unsorted) (__flatten_var_0 tptp.mworld)) (@ (@ tptp.mforall_di (lambda ((B $$unsorted) (__flatten_var_0 tptp.mworld)) (@ (@ tptp.mforall_di (lambda ((C $$unsorted) (__flatten_var_0 tptp.mworld)) (let ((_let_1 (@ tptp.barrel C))) (@ (@ (@ tptp.mimplies (@ (@ tptp.mand (@ (@ tptp.qmltpeq A) B)) (@ _let_1 A))) (@ _let_1 B)) __flatten_var_0)))) __flatten_var_0))) __flatten_var_0)))) (@ tptp.mlocal (@ tptp.mforall_di (lambda ((A $$unsorted) (__flatten_var_0 tptp.mworld)) (@ (@ tptp.mforall_di (lambda ((B $$unsorted) (__flatten_var_0 tptp.mworld)) (@ (@ (@ tptp.mimplies (@ (@ tptp.mand (@ (@ tptp.qmltpeq A) B)) (@ tptp.car A))) (@ tptp.car B)) __flatten_var_0))) __flatten_var_0)))) (@ tptp.mlocal (@ tptp.mforall_di (lambda ((A $$unsorted) (__flatten_var_0 tptp.mworld)) (@ (@ tptp.mforall_di (lambda ((B $$unsorted) (__flatten_var_0 tptp.mworld)) (@ (@ (@ tptp.mimplies (@ (@ tptp.mand (@ (@ tptp.qmltpeq A) B)) (@ tptp.chevy A))) (@ tptp.chevy B)) __flatten_var_0))) __flatten_var_0)))) (@ tptp.mlocal (@ tptp.mforall_di (lambda ((A $$unsorted) (__flatten_var_0 tptp.mworld)) (@ (@ tptp.mforall_di (lambda ((B $$unsorted) (__flatten_var_0 tptp.mworld)) (@ (@ (@ tptp.mimplies (@ (@ tptp.mand (@ (@ tptp.qmltpeq A) B)) (@ tptp.city A))) (@ tptp.city B)) __flatten_var_0))) __flatten_var_0)))) (@ tptp.mlocal (@ tptp.mforall_di (lambda ((A $$unsorted) (__flatten_var_0 tptp.mworld)) (@ (@ tptp.mforall_di (lambda ((B $$unsorted) (__flatten_var_0 tptp.mworld)) (@ (@ (@ tptp.mimplies (@ (@ tptp.mand (@ (@ tptp.qmltpeq A) B)) (@ tptp.dirty A))) (@ tptp.dirty B)) __flatten_var_0))) __flatten_var_0)))) (@ tptp.mlocal (@ tptp.mforall_di (lambda ((A $$unsorted) (__flatten_var_0 tptp.mworld)) (@ (@ tptp.mforall_di (lambda ((B $$unsorted) (__flatten_var_0 tptp.mworld)) (@ (@ tptp.mforall_di (lambda ((C $$unsorted) (__flatten_var_0 tptp.mworld)) (@ (@ (@ tptp.mimplies (@ (@ tptp.mand (@ (@ tptp.qmltpeq A) B)) (@ (@ tptp.down A) C))) (@ (@ tptp.down B) C)) __flatten_var_0))) __flatten_var_0))) __flatten_var_0)))) (@ tptp.mlocal (@ tptp.mforall_di (lambda ((A $$unsorted) (__flatten_var_0 tptp.mworld)) (@ (@ tptp.mforall_di (lambda ((B $$unsorted) (__flatten_var_0 tptp.mworld)) (@ (@ tptp.mforall_di (lambda ((C $$unsorted) (__flatten_var_0 tptp.mworld)) (let ((_let_1 (@ tptp.down C))) (@ (@ (@ tptp.mimplies (@ (@ tptp.mand (@ (@ tptp.qmltpeq A) B)) (@ _let_1 A))) (@ _let_1 B)) __flatten_var_0)))) __flatten_var_0))) __flatten_var_0)))) (@ tptp.mlocal (@ tptp.mforall_di (lambda ((A $$unsorted) (__flatten_var_0 tptp.mworld)) (@ (@ tptp.mforall_di (lambda ((B $$unsorted) (__flatten_var_0 tptp.mworld)) (@ (@ (@ tptp.mimplies (@ (@ tptp.mand (@ (@ tptp.qmltpeq A) B)) (@ tptp.event A))) (@ tptp.event B)) __flatten_var_0))) __flatten_var_0)))) (@ tptp.mlocal (@ tptp.mforall_di (lambda ((A $$unsorted) (__flatten_var_0 tptp.mworld)) (@ (@ tptp.mforall_di (lambda ((B $$unsorted) (__flatten_var_0 tptp.mworld)) (@ (@ (@ tptp.mimplies (@ (@ tptp.mand (@ (@ tptp.qmltpeq A) B)) (@ tptp.fellow A))) (@ tptp.fellow B)) __flatten_var_0))) __flatten_var_0)))) (@ tptp.mlocal (@ tptp.mforall_di (lambda ((A $$unsorted) (__flatten_var_0 tptp.mworld)) (@ (@ tptp.mforall_di (lambda ((B $$unsorted) (__flatten_var_0 tptp.mworld)) (@ (@ (@ tptp.mimplies (@ (@ tptp.mand (@ (@ tptp.qmltpeq A) B)) (@ tptp.front A))) (@ tptp.front B)) __flatten_var_0))) __flatten_var_0)))) (@ tptp.mlocal (@ tptp.mforall_di (lambda ((A $$unsorted) (__flatten_var_0 tptp.mworld)) (@ (@ tptp.mforall_di (lambda ((B $$unsorted) (__flatten_var_0 tptp.mworld)) (@ (@ (@ tptp.mimplies (@ (@ tptp.mand (@ (@ tptp.qmltpeq A) B)) (@ tptp.furniture A))) (@ tptp.furniture B)) __flatten_var_0))) __flatten_var_0)))) (@ tptp.mlocal (@ tptp.mforall_di (lambda ((A $$unsorted) (__flatten_var_0 tptp.mworld)) (@ (@ tptp.mforall_di (lambda ((B $$unsorted) (__flatten_var_0 tptp.mworld)) (@ (@ (@ tptp.mimplies (@ (@ tptp.mand (@ (@ tptp.qmltpeq A) B)) (@ tptp.hollywood A))) (@ tptp.hollywood B)) __flatten_var_0))) __flatten_var_0)))) (@ tptp.mlocal (@ tptp.mforall_di (lambda ((A $$unsorted) (__flatten_var_0 tptp.mworld)) (@ (@ tptp.mforall_di (lambda ((B $$unsorted) (__flatten_var_0 tptp.mworld)) (@ (@ tptp.mforall_di (lambda ((C $$unsorted) (__flatten_var_0 tptp.mworld)) (@ (@ (@ tptp.mimplies (@ (@ tptp.mand (@ (@ tptp.qmltpeq A) B)) (@ (@ tptp.in A) C))) (@ (@ tptp.in B) C)) __flatten_var_0))) __flatten_var_0))) __flatten_var_0)))) (@ tptp.mlocal (@ tptp.mforall_di (lambda ((A $$unsorted) (__flatten_var_0 tptp.mworld)) (@ (@ tptp.mforall_di (lambda ((B $$unsorted) (__flatten_var_0 tptp.mworld)) (@ (@ tptp.mforall_di (lambda ((C $$unsorted) (__flatten_var_0 tptp.mworld)) (let ((_let_1 (@ tptp.in C))) (@ (@ (@ tptp.mimplies (@ (@ tptp.mand (@ (@ tptp.qmltpeq A) B)) (@ _let_1 A))) (@ _let_1 B)) __flatten_var_0)))) __flatten_var_0))) __flatten_var_0)))) (@ tptp.mlocal (@ tptp.mforall_di (lambda ((A $$unsorted) (__flatten_var_0 tptp.mworld)) (@ (@ tptp.mforall_di (lambda ((B $$unsorted) (__flatten_var_0 tptp.mworld)) (@ (@ (@ tptp.mimplies (@ (@ tptp.mand (@ (@ tptp.qmltpeq A) B)) (@ tptp.lonely A))) (@ tptp.lonely B)) __flatten_var_0))) __flatten_var_0)))) (@ tptp.mlocal (@ tptp.mforall_di (lambda ((A $$unsorted) (__flatten_var_0 tptp.mworld)) (@ (@ tptp.mforall_di (lambda ((B $$unsorted) (__flatten_var_0 tptp.mworld)) (@ (@ (@ tptp.mimplies (@ (@ tptp.mand (@ (@ tptp.qmltpeq A) B)) (@ tptp.man A))) (@ tptp.man B)) __flatten_var_0))) __flatten_var_0)))) (@ tptp.mlocal (@ tptp.mforall_di (lambda ((A $$unsorted) (__flatten_var_0 tptp.mworld)) (@ (@ tptp.mforall_di (lambda ((B $$unsorted) (__flatten_var_0 tptp.mworld)) (@ (@ (@ tptp.mimplies (@ (@ tptp.mand (@ (@ tptp.qmltpeq A) B)) (@ tptp.old A))) (@ tptp.old B)) __flatten_var_0))) __flatten_var_0)))) (@ tptp.mlocal (@ tptp.mforall_di (lambda ((A $$unsorted) (__flatten_var_0 tptp.mworld)) (@ (@ tptp.mforall_di (lambda ((B $$unsorted) (__flatten_var_0 tptp.mworld)) (@ (@ (@ tptp.mimplies (@ (@ tptp.mand (@ (@ tptp.qmltpeq A) B)) (@ tptp.seat A))) (@ tptp.seat B)) __flatten_var_0))) __flatten_var_0)))) (@ tptp.mlocal (@ tptp.mforall_di (lambda ((A $$unsorted) (__flatten_var_0 tptp.mworld)) (@ (@ tptp.mforall_di (lambda ((B $$unsorted) (__flatten_var_0 tptp.mworld)) (@ (@ (@ tptp.mimplies (@ (@ tptp.mand (@ (@ tptp.qmltpeq A) B)) (@ tptp.street A))) (@ tptp.street B)) __flatten_var_0))) __flatten_var_0)))) (@ tptp.mlocal (@ tptp.mforall_di (lambda ((A $$unsorted) (__flatten_var_0 tptp.mworld)) (@ (@ tptp.mforall_di (lambda ((B $$unsorted) (__flatten_var_0 tptp.mworld)) (@ (@ (@ tptp.mimplies (@ (@ tptp.mand (@ (@ tptp.qmltpeq A) B)) (@ tptp.way A))) (@ tptp.way B)) __flatten_var_0))) __flatten_var_0)))) (@ tptp.mlocal (@ tptp.mforall_di (lambda ((A $$unsorted) (__flatten_var_0 tptp.mworld)) (@ (@ tptp.mforall_di (lambda ((B $$unsorted) (__flatten_var_0 tptp.mworld)) (@ (@ (@ tptp.mimplies (@ (@ tptp.mand (@ (@ tptp.qmltpeq A) B)) (@ tptp.white A))) (@ tptp.white B)) __flatten_var_0))) __flatten_var_0)))) (@ tptp.mlocal (@ tptp.mforall_di (lambda ((A $$unsorted) (__flatten_var_0 tptp.mworld)) (@ (@ tptp.mforall_di (lambda ((B $$unsorted) (__flatten_var_0 tptp.mworld)) (@ (@ (@ tptp.mimplies (@ (@ tptp.mand (@ (@ tptp.qmltpeq A) B)) (@ tptp.young A))) (@ tptp.young B)) __flatten_var_0))) __flatten_var_0)))) _let_1 true))))))))))))))))))))))))))))))))))))
% 0.20/0.72 )
% 0.20/0.72 % SZS output end Proof for NLP004^13
% 0.20/0.72 % cvc5---1.0.5 exiting
% 0.20/0.72 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------