TSTP Solution File: ITP299_1 by iProver---3.9
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%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : ITP001_1 : TPTP v8.1.2. Released v8.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n012.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 : Fri May 3 02:30:35 EDT 2024
% Result : Theorem 5.01s 1.65s
% Output : CNFRefutation 5.01s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 9
% Syntax : Number of formulae : 33 ( 27 unt; 0 typ; 0 def)
% Number of atoms : 270 ( 17 equ)
% Maximal formula atoms : 2 ( 8 avg)
% Number of connectives : 16 ( 10 ~; 5 |; 0 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of FOOLs : 231 ( 231 fml; 0 var)
% Number of types : 0 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 32 ( 30 usr; 9 prp; 0-7 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 22 ( 0 sgn 21 !; 0 ?; 21 :)
% Comments :
%------------------------------------------------------------------------------
tff(f28,conjecture,
'interpretation$'('canonicalInterpretation$'('t$')),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conjecture27) ).
tff(f29,negated_conjecture,
~ 'interpretation$'('canonicalInterpretation$'('t$')),
inference(negated_conjecture,[],[f28]) ).
tff(f30,axiom,
'zFAxioms$'('t$'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom28) ).
tff(f31,axiom,
! [X0: 'ZF_ZF_unit_Axioms_ext$'] :
( 'zFAxioms$'(X0)
=> 'interpretation$'('canonicalInterpretation$'(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom29) ).
tff(f315,axiom,
! [X0: 'ZF_ZF_unit_Axioms_ext$'] : ( 'canonicalCat$a'(X0) = 'fun_app$x'('makeCat$','canonicalCat$'(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom313) ).
tff(f379,axiom,
! [X0: 'ZF_ZF_unit_Axioms_ext$'] : ( 'canonicalCat$'(X0) = 'category_ext$'('baseTypes$e'('aSignature$'(X0)),'collect$d'('uul$'(X0)),'cLDomain$'(X0),'cLCodomain$'(X0),'uum$'(X0),'canonicalComp$'(X0),'unity$') ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom377) ).
tff(f398,axiom,
! [X0: 'ZF_ZF_unit_Axioms_ext$'] : ( 'canonicalInterpretation$'(X0) = 'interpretation_ext$'('aSignature$'(X0),'canonicalCat$a'(X0),'uuv$','uuw$'(X0),'unity$') ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom396) ).
tff(f530,axiom,
! [X0: 'ZF_ZF_unit_Axioms_ext$'] : ( 'zF2m$'(X0) = 'inv_into$'('collect$f'('uuy$'(X0)),'m2ZF$') ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom528) ).
tff(f535,axiom,
! [X0: 'ZF_ZF_unit_Axioms_ext$'] : ( 'cLDomain$'(X0) = 'comp$a'('tDomain$','zF2m$'(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom533) ).
tff(f536,axiom,
! [X0: 'ZF_ZF_unit_Axioms_ext$'] : ( 'cLCodomain$'(X0) = 'comp$a'('tCodomain$','zF2m$'(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom534) ).
tff(f584,plain,
~ 'interpretation$'('canonicalInterpretation$'('t$')),
inference(flattening,[],[f29]) ).
tff(f750,plain,
! [X0: 'ZF_ZF_unit_Axioms_ext$'] :
( 'interpretation$'('canonicalInterpretation$'(X0))
| ~ 'zFAxioms$'(X0) ),
inference(ennf_transformation,[],[f31]) ).
tff(f2593,plain,
~ 'interpretation$'('canonicalInterpretation$'('t$')),
inference(cnf_transformation,[],[f584]) ).
tff(f2594,plain,
'zFAxioms$'('t$'),
inference(cnf_transformation,[],[f30]) ).
tff(f2595,plain,
! [X0: 'ZF_ZF_unit_Axioms_ext$'] :
( 'interpretation$'('canonicalInterpretation$'(X0))
| ~ 'zFAxioms$'(X0) ),
inference(cnf_transformation,[],[f750]) ).
tff(f3697,plain,
! [X0: 'ZF_ZF_unit_Axioms_ext$'] : ( 'canonicalCat$a'(X0) = 'fun_app$x'('makeCat$','canonicalCat$'(X0)) ),
inference(cnf_transformation,[],[f315]) ).
tff(f3794,plain,
! [X0: 'ZF_ZF_unit_Axioms_ext$'] : ( 'canonicalCat$'(X0) = 'category_ext$'('baseTypes$e'('aSignature$'(X0)),'collect$d'('uul$'(X0)),'cLDomain$'(X0),'cLCodomain$'(X0),'uum$'(X0),'canonicalComp$'(X0),'unity$') ),
inference(cnf_transformation,[],[f379]) ).
tff(f3827,plain,
! [X0: 'ZF_ZF_unit_Axioms_ext$'] : ( 'canonicalInterpretation$'(X0) = 'interpretation_ext$'('aSignature$'(X0),'canonicalCat$a'(X0),'uuv$','uuw$'(X0),'unity$') ),
inference(cnf_transformation,[],[f398]) ).
tff(f4179,plain,
! [X0: 'ZF_ZF_unit_Axioms_ext$'] : ( 'zF2m$'(X0) = 'inv_into$'('collect$f'('uuy$'(X0)),'m2ZF$') ),
inference(cnf_transformation,[],[f530]) ).
tff(f4188,plain,
! [X0: 'ZF_ZF_unit_Axioms_ext$'] : ( 'cLDomain$'(X0) = 'comp$a'('tDomain$','zF2m$'(X0)) ),
inference(cnf_transformation,[],[f535]) ).
tff(f4189,plain,
! [X0: 'ZF_ZF_unit_Axioms_ext$'] : ( 'cLCodomain$'(X0) = 'comp$a'('tCodomain$','zF2m$'(X0)) ),
inference(cnf_transformation,[],[f536]) ).
tff(f4225,plain,
! [X0: 'ZF_ZF_unit_Axioms_ext$'] : ( 'cLCodomain$'(X0) = 'comp$a'('tCodomain$','inv_into$'('collect$f'('uuy$'(X0)),'m2ZF$')) ),
inference(definition_unfolding,[],[f4189,f4179]) ).
tff(f4226,plain,
! [X0: 'ZF_ZF_unit_Axioms_ext$'] : ( 'cLDomain$'(X0) = 'comp$a'('tDomain$','inv_into$'('collect$f'('uuy$'(X0)),'m2ZF$')) ),
inference(definition_unfolding,[],[f4188,f4179]) ).
tff(f4227,plain,
! [X0: 'ZF_ZF_unit_Axioms_ext$'] : ( 'canonicalCat$'(X0) = 'category_ext$'('baseTypes$e'('aSignature$'(X0)),'collect$d'('uul$'(X0)),'comp$a'('tDomain$','inv_into$'('collect$f'('uuy$'(X0)),'m2ZF$')),'comp$a'('tCodomain$','inv_into$'('collect$f'('uuy$'(X0)),'m2ZF$')),'uum$'(X0),'canonicalComp$'(X0),'unity$') ),
inference(definition_unfolding,[],[f3794,f4226,f4225]) ).
tff(f4228,plain,
! [X0: 'ZF_ZF_unit_Axioms_ext$'] : ( 'canonicalCat$a'(X0) = 'fun_app$x'('makeCat$','category_ext$'('baseTypes$e'('aSignature$'(X0)),'collect$d'('uul$'(X0)),'comp$a'('tDomain$','inv_into$'('collect$f'('uuy$'(X0)),'m2ZF$')),'comp$a'('tCodomain$','inv_into$'('collect$f'('uuy$'(X0)),'m2ZF$')),'uum$'(X0),'canonicalComp$'(X0),'unity$')) ),
inference(definition_unfolding,[],[f3697,f4227]) ).
tff(f4229,plain,
! [X0: 'ZF_ZF_unit_Axioms_ext$'] : ( 'canonicalInterpretation$'(X0) = 'interpretation_ext$'('aSignature$'(X0),'fun_app$x'('makeCat$','category_ext$'('baseTypes$e'('aSignature$'(X0)),'collect$d'('uul$'(X0)),'comp$a'('tDomain$','inv_into$'('collect$f'('uuy$'(X0)),'m2ZF$')),'comp$a'('tCodomain$','inv_into$'('collect$f'('uuy$'(X0)),'m2ZF$')),'uum$'(X0),'canonicalComp$'(X0),'unity$')),'uuv$','uuw$'(X0),'unity$') ),
inference(definition_unfolding,[],[f3827,f4228]) ).
tff(f4234,plain,
~ 'interpretation$'('interpretation_ext$'('aSignature$'('t$'),'fun_app$x'('makeCat$','category_ext$'('baseTypes$e'('aSignature$'('t$')),'collect$d'('uul$'('t$')),'comp$a'('tDomain$','inv_into$'('collect$f'('uuy$'('t$')),'m2ZF$')),'comp$a'('tCodomain$','inv_into$'('collect$f'('uuy$'('t$')),'m2ZF$')),'uum$'('t$'),'canonicalComp$'('t$'),'unity$')),'uuv$','uuw$'('t$'),'unity$')),
inference(definition_unfolding,[],[f2593,f4229]) ).
tff(f4235,plain,
! [X0: 'ZF_ZF_unit_Axioms_ext$'] :
( 'interpretation$'('interpretation_ext$'('aSignature$'(X0),'fun_app$x'('makeCat$','category_ext$'('baseTypes$e'('aSignature$'(X0)),'collect$d'('uul$'(X0)),'comp$a'('tDomain$','inv_into$'('collect$f'('uuy$'(X0)),'m2ZF$')),'comp$a'('tCodomain$','inv_into$'('collect$f'('uuy$'(X0)),'m2ZF$')),'uum$'(X0),'canonicalComp$'(X0),'unity$')),'uuv$','uuw$'(X0),'unity$'))
| ~ 'zFAxioms$'(X0) ),
inference(definition_unfolding,[],[f2595,f4229]) ).
cnf(c_120,negated_conjecture,
~ 'interpretation$'('interpretation_ext$'('aSignature$'('t$'),'fun_app$x'('makeCat$','category_ext$'('baseTypes$e'('aSignature$'('t$')),'collect$d'('uul$'('t$')),'comp$a'('tDomain$','inv_into$'('collect$f'('uuy$'('t$')),'m2ZF$')),'comp$a'('tCodomain$','inv_into$'('collect$f'('uuy$'('t$')),'m2ZF$')),'uum$'('t$'),'canonicalComp$'('t$'),'unity$')),'uuv$','uuw$'('t$'),'unity$')),
inference(cnf_transformation,[],[f4234]) ).
cnf(c_121,plain,
'zFAxioms$'('t$'),
inference(cnf_transformation,[],[f2594]) ).
cnf(c_122,plain,
( ~ 'zFAxioms$'(X0_91)
| 'interpretation$'('interpretation_ext$'('aSignature$'(X0_91),'fun_app$x'('makeCat$','category_ext$'('baseTypes$e'('aSignature$'(X0_91)),'collect$d'('uul$'(X0_91)),'comp$a'('tDomain$','inv_into$'('collect$f'('uuy$'(X0_91)),'m2ZF$')),'comp$a'('tCodomain$','inv_into$'('collect$f'('uuy$'(X0_91)),'m2ZF$')),'uum$'(X0_91),'canonicalComp$'(X0_91),'unity$')),'uuv$','uuw$'(X0_91),'unity$')) ),
inference(cnf_transformation,[],[f4235]) ).
cnf(c_3055,plain,
( ~ 'zFAxioms$'('t$')
| 'interpretation$'('interpretation_ext$'('aSignature$'('t$'),'fun_app$x'('makeCat$','category_ext$'('baseTypes$e'('aSignature$'('t$')),'collect$d'('uul$'('t$')),'comp$a'('tDomain$','inv_into$'('collect$f'('uuy$'('t$')),'m2ZF$')),'comp$a'('tCodomain$','inv_into$'('collect$f'('uuy$'('t$')),'m2ZF$')),'uum$'('t$'),'canonicalComp$'('t$'),'unity$')),'uuv$','uuw$'('t$'),'unity$')) ),
inference(instantiation,[status(thm)],[c_122]) ).
cnf(c_3056,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_3055,c_120,c_121]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.14 % Problem : ITP001_1 : TPTP v8.1.2. Released v8.1.0.
% 0.07/0.15 % Command : run_iprover %s %d THM
% 0.13/0.36 % Computer : n012.cluster.edu
% 0.13/0.36 % Model : x86_64 x86_64
% 0.13/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.36 % Memory : 8042.1875MB
% 0.13/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.36 % CPULimit : 300
% 0.13/0.36 % WCLimit : 300
% 0.13/0.36 % DateTime : Thu May 2 21:53:55 EDT 2024
% 0.13/0.36 % CPUTime :
% 0.20/0.49 Running TFA theorem proving
% 0.20/0.49 Running: /export/starexec/sandbox2/solver/bin/run_problem --no_cores 8 --schedule casc_29_tfa --heuristic_context casc_unsat /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 5.01/1.65 % SZS status Started for theBenchmark.p
% 5.01/1.65 % SZS status Theorem for theBenchmark.p
% 5.01/1.65
% 5.01/1.65 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 5.01/1.65
% 5.01/1.65 ------ iProver source info
% 5.01/1.65
% 5.01/1.65 git: date: 2024-05-02 19:28:25 +0000
% 5.01/1.65 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 5.01/1.65 git: non_committed_changes: false
% 5.01/1.65
% 5.01/1.65 ------ Parsing...
% 5.01/1.65 ------ Clausification by vclausify_rel & Parsing by iProver...
% 5.01/1.65
% 5.01/1.65 ------ Preprocessing...
% 5.01/1.65
% 5.01/1.65 % SZS status Theorem for theBenchmark.p
% 5.01/1.65
% 5.01/1.65 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 5.01/1.65
% 5.01/1.65
%------------------------------------------------------------------------------