TSTP Solution File: NLP267^17 by cvc5---1.0.5
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- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : NLP267^17 : TPTP v8.1.2. Released v8.1.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n016.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 09:41:04 EDT 2023
% Result : Theorem 0.19s 0.54s
% Output : Proof 0.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : NLP267^17 : TPTP v8.1.2. Released v8.1.0.
% 0.00/0.14 % Command : do_cvc5 %s %d
% 0.13/0.35 % Computer : n016.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Thu Aug 24 12:48:39 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.19/0.48 %----Proving TH0
% 0.19/0.49 %------------------------------------------------------------------------------
% 0.19/0.49 % File : NLP267^17 : TPTP v8.1.2. Released v8.1.0.
% 0.19/0.49 % Domain : Natural Language Processing
% 0.19/0.49 % Problem : Ticket example
% 0.19/0.49 % Version : [BP13] axioms.
% 0.19/0.49 % English :
% 0.19/0.49
% 0.19/0.49 % Refs : [FH+98] Farinas del Cerro et al. (1998), Belief Reconstruction
% 0.19/0.49 % : [RO12] Raths & Otten (2012), The QMLTP Problem Library for Fi
% 0.19/0.49 % : [BP13] Benzmueller & Paulson (2013), Quantified Multimodal Lo
% 0.19/0.49 % : [Ste22] Steen (2022), An Extensible Logic Embedding Tool for L
% 0.19/0.49 % Source : [TPTP]
% 0.19/0.49 % Names : MML016+1 [QMLTP]
% 0.19/0.49
% 0.19/0.49 % Status : Theorem
% 0.19/0.49 % Rating : 0.31 v8.1.0
% 0.19/0.49 % Syntax : Number of formulae : 42 ( 10 unt; 22 typ; 8 def)
% 0.19/0.49 % Number of atoms : 72 ( 8 equ; 0 cnn)
% 0.19/0.49 % Maximal formula atoms : 7 ( 3 avg)
% 0.19/0.49 % Number of connectives : 116 ( 1 ~; 1 |; 4 &; 105 @)
% 0.19/0.49 % ( 1 <=>; 4 =>; 0 <=; 0 <~>)
% 0.19/0.49 % Maximal formula depth : 9 ( 5 avg)
% 0.19/0.49 % Number of types : 4 ( 2 usr)
% 0.19/0.49 % Number of type conns : 54 ( 54 >; 0 *; 0 +; 0 <<)
% 0.19/0.49 % Number of symbols : 21 ( 20 usr; 8 con; 0-3 aty)
% 0.19/0.49 % Number of variables : 31 ( 21 ^; 9 !; 1 ?; 31 :)
% 0.19/0.49 % SPC : TH0_THM_EQU_NAR
% 0.19/0.49
% 0.19/0.49 % Comments : This output was generated by embedproblem, version 1.7.1 (library
% 0.19/0.49 % version 1.3). Generated on Thu Apr 28 13:18:18 EDT 2022 using
% 0.19/0.49 % 'modal' embedding, version 1.5.2. Logic specification used:
% 0.19/0.49 % $modal == [$constants == $rigid,$quantification == $cumulative,
% 0.19/0.49 % $modalities == $modal_system_S5].
% 0.19/0.49 %------------------------------------------------------------------------------
% 0.19/0.49 thf(mworld,type,
% 0.19/0.49 mworld: $tType ).
% 0.19/0.49
% 0.19/0.49 thf(mindex,type,
% 0.19/0.49 mindex: $tType ).
% 0.19/0.49
% 0.19/0.49 thf(mrel_type,type,
% 0.19/0.49 mrel: mindex > mworld > mworld > $o ).
% 0.19/0.49
% 0.19/0.49 thf('#b_u_type',type,
% 0.19/0.49 '#b_u': mindex ).
% 0.19/0.49
% 0.19/0.49 thf('#b_s_type',type,
% 0.19/0.49 '#b_s': mindex ).
% 0.19/0.49
% 0.19/0.49 thf(mactual_type,type,
% 0.19/0.49 mactual: mworld ).
% 0.19/0.49
% 0.19/0.49 thf(mlocal_type,type,
% 0.19/0.49 mlocal: ( mworld > $o ) > $o ).
% 0.19/0.49
% 0.19/0.49 thf(mlocal_def,definition,
% 0.19/0.49 ( mlocal
% 0.19/0.49 = ( ^ [Phi: mworld > $o] : ( Phi @ mactual ) ) ) ).
% 0.19/0.49
% 0.19/0.49 thf(mnot_type,type,
% 0.19/0.49 mnot: ( mworld > $o ) > mworld > $o ).
% 0.19/0.49
% 0.19/0.49 thf(mand_type,type,
% 0.19/0.49 mand: ( mworld > $o ) > ( mworld > $o ) > mworld > $o ).
% 0.19/0.49
% 0.19/0.49 thf(mor_type,type,
% 0.19/0.49 mor: ( mworld > $o ) > ( mworld > $o ) > mworld > $o ).
% 0.19/0.49
% 0.19/0.49 thf(mimplies_type,type,
% 0.19/0.49 mimplies: ( mworld > $o ) > ( mworld > $o ) > mworld > $o ).
% 0.19/0.49
% 0.19/0.49 thf(mequiv_type,type,
% 0.19/0.49 mequiv: ( mworld > $o ) > ( mworld > $o ) > mworld > $o ).
% 0.19/0.49
% 0.19/0.49 thf(mnot_def,definition,
% 0.19/0.49 ( mnot
% 0.19/0.49 = ( ^ [A: mworld > $o,W: mworld] :
% 0.19/0.49 ~ ( A @ W ) ) ) ).
% 0.19/0.49
% 0.19/0.49 thf(mand_def,definition,
% 0.19/0.49 ( mand
% 0.19/0.49 = ( ^ [A: mworld > $o,B: mworld > $o,W: mworld] :
% 0.19/0.49 ( ( A @ W )
% 0.19/0.49 & ( B @ W ) ) ) ) ).
% 0.19/0.49
% 0.19/0.49 thf(mor_def,definition,
% 0.19/0.49 ( mor
% 0.19/0.49 = ( ^ [A: mworld > $o,B: mworld > $o,W: mworld] :
% 0.19/0.49 ( ( A @ W )
% 0.19/0.49 | ( B @ W ) ) ) ) ).
% 0.19/0.49
% 0.19/0.49 thf(mimplies_def,definition,
% 0.19/0.49 ( mimplies
% 0.19/0.49 = ( ^ [A: mworld > $o,B: mworld > $o,W: mworld] :
% 0.19/0.49 ( ( A @ W )
% 0.19/0.49 => ( B @ W ) ) ) ) ).
% 0.19/0.49
% 0.19/0.49 thf(mequiv_def,definition,
% 0.19/0.49 ( mequiv
% 0.19/0.49 = ( ^ [A: mworld > $o,B: mworld > $o,W: mworld] :
% 0.19/0.49 ( ( A @ W )
% 0.19/0.49 <=> ( B @ W ) ) ) ) ).
% 0.19/0.49
% 0.19/0.49 thf(mbox_type,type,
% 0.19/0.49 mbox: mindex > ( mworld > $o ) > mworld > $o ).
% 0.19/0.49
% 0.19/0.49 thf(mbox_def,definition,
% 0.19/0.49 ( mbox
% 0.19/0.49 = ( ^ [R: mindex,Phi: mworld > $o,W: mworld] :
% 0.19/0.49 ! [V: mworld] :
% 0.19/0.49 ( ( mrel @ R @ W @ V )
% 0.19/0.49 => ( Phi @ V ) ) ) ) ).
% 0.19/0.49
% 0.19/0.49 thf(mdia_type,type,
% 0.19/0.49 mdia: mindex > ( mworld > $o ) > mworld > $o ).
% 0.19/0.49
% 0.19/0.49 thf(mdia_def,definition,
% 0.19/0.49 ( mdia
% 0.19/0.49 = ( ^ [R: mindex,Phi: mworld > $o,W: mworld] :
% 0.19/0.49 ? [V: mworld] :
% 0.19/0.49 ( ( mrel @ R @ W @ V )
% 0.19/0.49 & ( Phi @ V ) ) ) ) ).
% 0.19/0.49
% 0.19/0.49 thf('mrel_#b_u_reflexive',axiom,
% 0.19/0.49 ! [W: mworld] : ( mrel @ '#b_u' @ W @ W ) ).
% 0.19/0.49
% 0.19/0.49 thf('mrel_#b_u_euclidean',axiom,
% 0.19/0.49 ! [W: mworld,V: mworld,U: mworld] :
% 0.19/0.49 ( ( ( mrel @ '#b_u' @ W @ U )
% 0.19/0.49 & ( mrel @ '#b_u' @ W @ V ) )
% 0.19/0.49 => ( mrel @ '#b_u' @ U @ V ) ) ).
% 0.19/0.49
% 0.19/0.49 thf('mrel_#b_s_reflexive',axiom,
% 0.19/0.50 ! [W: mworld] : ( mrel @ '#b_s' @ W @ W ) ).
% 0.19/0.50
% 0.19/0.50 thf('mrel_#b_s_euclidean',axiom,
% 0.19/0.50 ! [W: mworld,V: mworld,U: mworld] :
% 0.19/0.50 ( ( ( mrel @ '#b_s' @ W @ U )
% 0.19/0.50 & ( mrel @ '#b_s' @ W @ V ) )
% 0.19/0.50 => ( mrel @ '#b_s' @ U @ V ) ) ).
% 0.19/0.50
% 0.19/0.50 thf(seventy_decl,type,
% 0.19/0.50 seventy: $i ).
% 0.19/0.50
% 0.19/0.50 thf(ninetyfive_decl,type,
% 0.19/0.50 ninetyfive: $i ).
% 0.19/0.50
% 0.19/0.50 thf(second_decl,type,
% 0.19/0.50 second: $i ).
% 0.19/0.50
% 0.19/0.50 thf(paris_decl,type,
% 0.19/0.50 paris: $i ).
% 0.19/0.50
% 0.19/0.50 thf(first_decl,type,
% 0.19/0.50 first: $i ).
% 0.19/0.50
% 0.19/0.50 thf(price_decl,type,
% 0.19/0.50 price: $i > mworld > $o ).
% 0.19/0.50
% 0.19/0.50 thf(dest_decl,type,
% 0.19/0.50 dest: $i > mworld > $o ).
% 0.19/0.50
% 0.19/0.50 thf(class_decl,type,
% 0.19/0.50 class: $i > mworld > $o ).
% 0.19/0.50
% 0.19/0.50 thf(axiom_1,axiom,
% 0.19/0.50 mlocal @ ( mbox @ '#b_s' @ ( mimplies @ ( mand @ ( dest @ paris ) @ ( class @ first ) ) @ ( price @ ninetyfive ) ) ) ).
% 0.19/0.50
% 0.19/0.50 thf(axiom_2,axiom,
% 0.19/0.50 mlocal @ ( mbox @ '#b_s' @ ( mimplies @ ( mand @ ( dest @ paris ) @ ( class @ second ) ) @ ( price @ seventy ) ) ) ).
% 0.19/0.50
% 0.19/0.50 thf(axiom_3_s,axiom,
% 0.19/0.50 mlocal @ ( mbox @ '#b_s' @ ( mnot @ ( mand @ ( class @ first ) @ ( class @ second ) ) ) ) ).
% 0.19/0.50
% 0.19/0.50 thf(axiom_3_u,axiom,
% 0.19/0.50 mlocal @ ( mbox @ '#b_u' @ ( mnot @ ( mand @ ( class @ first ) @ ( class @ second ) ) ) ) ).
% 0.19/0.50
% 0.19/0.50 thf(axiom_4_s,axiom,
% 0.19/0.50 mlocal @ ( mbox @ '#b_s' @ ( mnot @ ( mand @ ( price @ seventy ) @ ( price @ ninetyfive ) ) ) ) ).
% 0.19/0.50
% 0.19/0.50 thf(axiom_4_u,axiom,
% 0.19/0.50 mlocal @ ( mbox @ '#b_u' @ ( mnot @ ( mand @ ( price @ seventy ) @ ( price @ ninetyfive ) ) ) ) ).
% 0.19/0.50
% 0.19/0.50 thf(axiom_5,axiom,
% 0.19/0.50 mlocal @ ( mbox @ '#b_s' @ ( mand @ ( dest @ paris ) @ ( class @ second ) ) ) ).
% 0.19/0.50
% 0.19/0.50 thf(con,conjecture,
% 0.19/0.50 mlocal @ ( mbox @ '#b_s' @ ( price @ seventy ) ) ).
% 0.19/0.50
% 0.19/0.50 %------------------------------------------------------------------------------
% 0.19/0.50 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.774BhGjA2a/cvc5---1.0.5_6414.p...
% 0.19/0.50 (declare-sort $$unsorted 0)
% 0.19/0.50 (declare-sort tptp.mworld 0)
% 0.19/0.50 (declare-sort tptp.mindex 0)
% 0.19/0.50 (declare-fun tptp.mrel (tptp.mindex tptp.mworld tptp.mworld) Bool)
% 0.19/0.50 (declare-fun |tptp.'#b_u'| () tptp.mindex)
% 0.19/0.50 (declare-fun |tptp.'#b_s'| () tptp.mindex)
% 0.19/0.50 (declare-fun tptp.mactual () tptp.mworld)
% 0.19/0.50 (declare-fun tptp.mlocal ((-> tptp.mworld Bool)) Bool)
% 0.19/0.50 (assert (= tptp.mlocal (lambda ((Phi (-> tptp.mworld Bool))) (@ Phi tptp.mactual))))
% 0.19/0.50 (declare-fun tptp.mnot ((-> tptp.mworld Bool) tptp.mworld) Bool)
% 0.19/0.50 (declare-fun tptp.mand ((-> tptp.mworld Bool) (-> tptp.mworld Bool) tptp.mworld) Bool)
% 0.19/0.50 (declare-fun tptp.mor ((-> tptp.mworld Bool) (-> tptp.mworld Bool) tptp.mworld) Bool)
% 0.19/0.50 (declare-fun tptp.mimplies ((-> tptp.mworld Bool) (-> tptp.mworld Bool) tptp.mworld) Bool)
% 0.19/0.50 (declare-fun tptp.mequiv ((-> tptp.mworld Bool) (-> tptp.mworld Bool) tptp.mworld) Bool)
% 0.19/0.50 (assert (= tptp.mnot (lambda ((A (-> tptp.mworld Bool)) (W tptp.mworld)) (not (@ A W)))))
% 0.19/0.50 (assert (= tptp.mand (lambda ((A (-> tptp.mworld Bool)) (B (-> tptp.mworld Bool)) (W tptp.mworld)) (and (@ A W) (@ B W)))))
% 0.19/0.50 (assert (= tptp.mor (lambda ((A (-> tptp.mworld Bool)) (B (-> tptp.mworld Bool)) (W tptp.mworld)) (or (@ A W) (@ B W)))))
% 0.19/0.50 (assert (= tptp.mimplies (lambda ((A (-> tptp.mworld Bool)) (B (-> tptp.mworld Bool)) (W tptp.mworld)) (=> (@ A W) (@ B W)))))
% 0.19/0.50 (assert (= tptp.mequiv (lambda ((A (-> tptp.mworld Bool)) (B (-> tptp.mworld Bool)) (W tptp.mworld)) (= (@ A W) (@ B W)))))
% 0.19/0.50 (declare-fun tptp.mbox (tptp.mindex (-> tptp.mworld Bool) tptp.mworld) Bool)
% 0.19/0.50 (assert (= tptp.mbox (lambda ((R tptp.mindex) (Phi (-> tptp.mworld Bool)) (W tptp.mworld)) (forall ((V tptp.mworld)) (=> (@ (@ (@ tptp.mrel R) W) V) (@ Phi V))))))
% 0.19/0.50 (declare-fun tptp.mdia (tptp.mindex (-> tptp.mworld Bool) tptp.mworld) Bool)
% 0.19/0.50 (assert (= tptp.mdia (lambda ((R tptp.mindex) (Phi (-> tptp.mworld Bool)) (W tptp.mworld)) (exists ((V tptp.mworld)) (and (@ (@ (@ tptp.mrel R) W) V) (@ Phi V))))))
% 0.19/0.50 (assert (forall ((W tptp.mworld)) (@ (@ (@ tptp.mrel |tptp.'#b_u'|) W) W)))
% 0.19/0.50 (assert (forall ((W tptp.mworld) (V tptp.mworld) (U tptp.mworld)) (let ((_let_1 (@ tptp.mrel |tptp.'#b_u'|))) (let ((_let_2 (@ _let_1 W))) (=> (and (@ _let_2 U) (@ _let_2 V)) (@ (@ _let_1 U) V))))))
% 0.19/0.50 (assert (forall ((W tptp.mworld)) (@ (@ (@ tptp.mrel |tptp.'#b_s'|) W) W)))
% 0.19/0.50 (assert (forall ((W tptp.mworld) (V tptp.mworld) (U tptp.mworld)) (let ((_let_1 (@ tptp.mrel |tptp.'#b_s'|))) (let ((_let_2 (@ _let_1 W))) (=> (and (@ _let_2 U) (@ _let_2 V)) (@ (@ _let_1 U) V))))))
% 0.19/0.54 (declare-fun tptp.seventy () $$unsorted)
% 0.19/0.54 (declare-fun tptp.ninetyfive () $$unsorted)
% 0.19/0.54 (declare-fun tptp.second () $$unsorted)
% 0.19/0.54 (declare-fun tptp.paris () $$unsorted)
% 0.19/0.54 (declare-fun tptp.first () $$unsorted)
% 0.19/0.54 (declare-fun tptp.price ($$unsorted tptp.mworld) Bool)
% 0.19/0.54 (declare-fun tptp.dest ($$unsorted tptp.mworld) Bool)
% 0.19/0.54 (declare-fun tptp.class ($$unsorted tptp.mworld) Bool)
% 0.19/0.54 (assert (@ tptp.mlocal (@ (@ tptp.mbox |tptp.'#b_s'|) (@ (@ tptp.mimplies (@ (@ tptp.mand (@ tptp.dest tptp.paris)) (@ tptp.class tptp.first))) (@ tptp.price tptp.ninetyfive)))))
% 0.19/0.54 (assert (@ tptp.mlocal (@ (@ tptp.mbox |tptp.'#b_s'|) (@ (@ tptp.mimplies (@ (@ tptp.mand (@ tptp.dest tptp.paris)) (@ tptp.class tptp.second))) (@ tptp.price tptp.seventy)))))
% 0.19/0.54 (assert (@ tptp.mlocal (@ (@ tptp.mbox |tptp.'#b_s'|) (@ tptp.mnot (@ (@ tptp.mand (@ tptp.class tptp.first)) (@ tptp.class tptp.second))))))
% 0.19/0.54 (assert (@ tptp.mlocal (@ (@ tptp.mbox |tptp.'#b_u'|) (@ tptp.mnot (@ (@ tptp.mand (@ tptp.class tptp.first)) (@ tptp.class tptp.second))))))
% 0.19/0.54 (assert (@ tptp.mlocal (@ (@ tptp.mbox |tptp.'#b_s'|) (@ tptp.mnot (@ (@ tptp.mand (@ tptp.price tptp.seventy)) (@ tptp.price tptp.ninetyfive))))))
% 0.19/0.54 (assert (@ tptp.mlocal (@ (@ tptp.mbox |tptp.'#b_u'|) (@ tptp.mnot (@ (@ tptp.mand (@ tptp.price tptp.seventy)) (@ tptp.price tptp.ninetyfive))))))
% 0.19/0.54 (assert (@ tptp.mlocal (@ (@ tptp.mbox |tptp.'#b_s'|) (@ (@ tptp.mand (@ tptp.dest tptp.paris)) (@ tptp.class tptp.second)))))
% 0.19/0.54 (assert (not (@ tptp.mlocal (@ (@ tptp.mbox |tptp.'#b_s'|) (@ tptp.price tptp.seventy)))))
% 0.19/0.54 (set-info :filename cvc5---1.0.5_6414)
% 0.19/0.54 (check-sat-assuming ( true ))
% 0.19/0.54 ------- get file name : TPTP file name is NLP267^17
% 0.19/0.54 ------- cvc5-thf : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_6414.smt2...
% 0.19/0.54 --- Run --ho-elim --full-saturate-quant at 10...
% 0.19/0.54 % SZS status Theorem for NLP267^17
% 0.19/0.54 % SZS output start Proof for NLP267^17
% 0.19/0.54 (
% 0.19/0.54 (let ((_let_1 (@ tptp.price tptp.seventy))) (let ((_let_2 (@ tptp.mbox |tptp.'#b_s'|))) (let ((_let_3 (not (@ tptp.mlocal (@ _let_2 _let_1))))) (let ((_let_4 (@ tptp.class tptp.second))) (let ((_let_5 (@ tptp.mand (@ tptp.dest tptp.paris)))) (let ((_let_6 (@ _let_5 _let_4))) (let ((_let_7 (@ tptp.mlocal (@ _let_2 _let_6)))) (let ((_let_8 (@ tptp.price tptp.ninetyfive))) (let ((_let_9 (@ tptp.mnot (@ (@ tptp.mand _let_1) _let_8)))) (let ((_let_10 (@ tptp.mbox |tptp.'#b_u'|))) (let ((_let_11 (@ tptp.class tptp.first))) (let ((_let_12 (@ tptp.mnot (@ (@ tptp.mand _let_11) _let_4)))) (let ((_let_13 (@ tptp.mlocal (@ _let_2 (@ (@ tptp.mimplies _let_6) _let_1))))) (let ((_let_14 (= tptp.mdia (lambda ((R tptp.mindex) (Phi (-> tptp.mworld Bool)) (W tptp.mworld)) (exists ((V tptp.mworld)) (and (@ (@ (@ tptp.mrel R) W) V) (@ Phi V))))))) (let ((_let_15 (= tptp.mbox (lambda ((R tptp.mindex) (Phi (-> tptp.mworld Bool)) (W tptp.mworld)) (forall ((V tptp.mworld)) (=> (@ (@ (@ tptp.mrel R) W) V) (@ Phi V))))))) (let ((_let_16 (= tptp.mequiv (lambda ((A (-> tptp.mworld Bool)) (B (-> tptp.mworld Bool)) (W tptp.mworld)) (= (@ A W) (@ B W)))))) (let ((_let_17 (= tptp.mimplies (lambda ((A (-> tptp.mworld Bool)) (B (-> tptp.mworld Bool)) (W tptp.mworld)) (=> (@ A W) (@ B W)))))) (let ((_let_18 (= tptp.mor (lambda ((A (-> tptp.mworld Bool)) (B (-> tptp.mworld Bool)) (W tptp.mworld)) (or (@ A W) (@ B W)))))) (let ((_let_19 (= tptp.mand (lambda ((A (-> tptp.mworld Bool)) (B (-> tptp.mworld Bool)) (W tptp.mworld)) (and (@ A W) (@ B W)))))) (let ((_let_20 (= tptp.mnot (lambda ((A (-> tptp.mworld Bool)) (W tptp.mworld)) (not (@ A W)))))) (let ((_let_21 (= tptp.mlocal (lambda ((Phi (-> tptp.mworld Bool))) (@ Phi tptp.mactual))))) (let ((_let_22 (ho_4 (ho_3 k_2 |tptp.'#b_s'|) tptp.mactual))) (let ((_let_23 (ho_5 _let_22 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10))) (let ((_let_24 (ho_5 (ho_7 k_6 tptp.seventy) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10))) (let ((_let_25 (ho_5 (ho_7 k_8 tptp.second) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10))) (let ((_let_26 (not _let_25))) (let ((_let_27 (ho_5 (ho_7 k_9 tptp.paris) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10))) (let ((_let_28 (not _let_27))) (let ((_let_29 (not _let_23))) (let ((_let_30 (or _let_29 _let_28 _let_26 _let_24))) (let ((_let_31 (or _let_29 _let_24))) (let ((_let_32 (forall ((V tptp.mworld)) (or (not (ho_5 (ho_4 (ho_3 k_2 |tptp.'#b_s'|) tptp.mactual) V)) (ho_5 (ho_7 k_6 tptp.seventy) V))))) (let ((_let_33 (not _let_31))) (let ((_let_34 (not _let_32))) (let ((_let_35 (AND_INTRO (EQ_RESOLVE (ASSUME :args (_let_14)) (MACRO_SR_EQ_INTRO :args (_let_14 SB_DEFAULT SBA_FIXPOINT))) (EQ_RESOLVE (ASSUME :args (_let_15)) (MACRO_SR_EQ_INTRO :args (_let_15 SB_DEFAULT SBA_FIXPOINT))) (ASSUME :args (_let_16)) (ASSUME :args (_let_17)) (ASSUME :args (_let_18)) (ASSUME :args (_let_19)) (ASSUME :args (_let_20)) (ASSUME :args (_let_21))))) (let ((_let_36 (EQ_RESOLVE (ASSUME :args (_let_3)) (TRANS (MACRO_SR_EQ_INTRO _let_35 :args (_let_3 SB_DEFAULT SBA_FIXPOINT)) (PREPROCESS :args ((= (not (forall ((V tptp.mworld)) (or (not (@ (@ (@ tptp.mrel |tptp.'#b_s'|) tptp.mactual) V)) (@ (@ tptp.price tptp.seventy) V)))) _let_34))))))) (let ((_let_37 (or))) (let ((_let_38 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_36) :args (_let_34))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_34) _let_32))) (REFL :args (_let_33)) :args _let_37)) _let_36 :args (_let_33 true _let_32)))) (let ((_let_39 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_31 0)) (CONG (REFL :args (_let_31)) (MACRO_SR_PRED_INTRO :args ((= (not _let_29) _let_23))) :args _let_37)) :args ((or _let_23 _let_31))) _let_38 :args (_let_23 true _let_31)))) (let ((_let_40 (forall ((V tptp.mworld)) (or (not (ho_5 (ho_4 (ho_3 k_2 |tptp.'#b_s'|) tptp.mactual) V)) (not (ho_5 (ho_7 k_9 tptp.paris) V)) (not (ho_5 (ho_7 k_8 tptp.second) V)) (ho_5 (ho_7 k_6 tptp.seventy) V))))) (let ((_let_41 (EQ_RESOLVE (ASSUME :args (_let_13)) (TRANS (MACRO_SR_EQ_INTRO _let_35 :args (_let_13 SB_DEFAULT SBA_FIXPOINT)) (PREPROCESS :args ((= (forall ((V tptp.mworld)) (or (not (@ (@ (@ tptp.mrel |tptp.'#b_s'|) tptp.mactual) V)) (not (@ (@ tptp.dest tptp.paris) V)) (not (@ (@ tptp.class tptp.second) V)) (@ (@ tptp.price tptp.seventy) V))) _let_40))))))) (let ((_let_42 (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (ho_5 _let_22 V) false)))))) (let ((_let_43 (and _let_27 _let_25))) (let ((_let_44 (or _let_29 _let_43))) (let ((_let_45 (forall ((V tptp.mworld)) (or (not (ho_5 (ho_4 (ho_3 k_2 |tptp.'#b_s'|) tptp.mactual) V)) (and (ho_5 (ho_7 k_9 tptp.paris) V) (ho_5 (ho_7 k_8 tptp.second) V)))))) (let ((_let_46 (EQ_RESOLVE (ASSUME :args (_let_7)) (TRANS (MACRO_SR_EQ_INTRO _let_35 :args (_let_7 SB_DEFAULT SBA_FIXPOINT)) (PREPROCESS :args ((= (forall ((V tptp.mworld)) (or (not (@ (@ (@ tptp.mrel |tptp.'#b_s'|) tptp.mactual) V)) (and (@ (@ tptp.dest tptp.paris) V) (@ (@ tptp.class tptp.second) V)))) _let_45))))))) (let ((_let_47 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_44)) :args ((or _let_29 _let_43 (not _let_44)))) _let_39 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_46 :args _let_42) :args (_let_45))) _let_46 :args (_let_44 false _let_45)) :args (_let_43 false _let_23 false _let_44)))) (let ((_let_48 (not _let_43))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_30)) :args ((or _let_29 _let_24 _let_28 _let_26 (not _let_30)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_43 1)) :args ((or _let_25 _let_48))) _let_47 :args (_let_25 false _let_43)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_43 0)) :args ((or _let_27 _let_48))) _let_47 :args (_let_27 false _let_43)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_41 :args _let_42) :args (_let_40))) _let_41 :args (_let_30 false _let_40)) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_31 1)) _let_38 :args ((not _let_24) true _let_31)) _let_39 :args (false false _let_25 false _let_27 false _let_30 true _let_24 false _let_23)) :args (_let_21 _let_20 _let_19 _let_18 _let_17 _let_16 _let_15 _let_14 (forall ((W tptp.mworld)) (@ (@ (@ tptp.mrel |tptp.'#b_u'|) W) W)) (forall ((W tptp.mworld) (V tptp.mworld) (U tptp.mworld)) (let ((_let_1 (@ tptp.mrel |tptp.'#b_u'|))) (let ((_let_2 (@ _let_1 W))) (=> (and (@ _let_2 U) (@ _let_2 V)) (@ (@ _let_1 U) V))))) (forall ((W tptp.mworld)) (@ (@ (@ tptp.mrel |tptp.'#b_s'|) W) W)) (forall ((W tptp.mworld) (V tptp.mworld) (U tptp.mworld)) (let ((_let_1 (@ tptp.mrel |tptp.'#b_s'|))) (let ((_let_2 (@ _let_1 W))) (=> (and (@ _let_2 U) (@ _let_2 V)) (@ (@ _let_1 U) V))))) (@ tptp.mlocal (@ _let_2 (@ (@ tptp.mimplies (@ _let_5 _let_11)) _let_8))) _let_13 (@ tptp.mlocal (@ _let_2 _let_12)) (@ tptp.mlocal (@ _let_10 _let_12)) (@ tptp.mlocal (@ _let_2 _let_9)) (@ tptp.mlocal (@ _let_10 _let_9)) _let_7 _let_3 true)))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.19/0.54 )
% 0.19/0.54 % SZS output end Proof for NLP267^17
% 0.19/0.54 % cvc5---1.0.5 exiting
% 0.19/0.55 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------