TSTP Solution File: ITP299_1 by Z3---4.8.9.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : ITP001_1 : TPTP v8.1.0. Released v8.1.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n007.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 : Sat Sep 17 04:18:39 EDT 2022
% Result : Theorem 0.64s 0.72s
% Output : Proof 0.70s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : ITP001_1 : TPTP v8.1.0. Released v8.1.0.
% 0.12/0.13 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.13/0.34 % Computer : n007.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Thu Sep 1 07:00:32 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.35 Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.19/0.35 Usage: tptp [options] [-file:]file
% 0.19/0.35 -h, -? prints this message.
% 0.19/0.35 -smt2 print SMT-LIB2 benchmark.
% 0.19/0.35 -m, -model generate model.
% 0.19/0.35 -p, -proof generate proof.
% 0.19/0.35 -c, -core generate unsat core of named formulas.
% 0.19/0.35 -st, -statistics display statistics.
% 0.19/0.35 -t:timeout set timeout (in second).
% 0.19/0.35 -smt2status display status in smt2 format instead of SZS.
% 0.19/0.35 -check_status check the status produced by Z3 against annotation in benchmark.
% 0.19/0.35 -<param>:<value> configuration parameter and value.
% 0.19/0.35 -o:<output-file> file to place output in.
% 0.64/0.72 % SZS status Theorem
% 0.64/0.72 % SZS output start Proof
% 0.64/0.72 tff(tptp_fun__zFAxioms___type, type, (
% 0.64/0.72 tptp_fun__zFAxioms__: 'ZF_ZF_unit_Axioms_ext$' > $o)).
% 0.64/0.72 tff(tptp_fun__interpretation___type, type, (
% 0.64/0.72 tptp_fun__interpretation__: 'ZF_ZF_ZF_ZF_unit_Interpretation_ext$' > $o)).
% 0.64/0.72 tff(tptp_fun__canonicalInterpretation___type, type, (
% 0.64/0.72 tptp_fun__canonicalInterpretation__: 'ZF_ZF_unit_Axioms_ext$' > 'ZF_ZF_ZF_ZF_unit_Interpretation_ext$')).
% 0.64/0.72 tff(tptp_fun__t___type, type, (
% 0.64/0.72 tptp_fun__t__: 'ZF_ZF_unit_Axioms_ext$')).
% 0.64/0.72 tff(1,plain,
% 0.64/0.72 (^[A__questionmark_v0: 'ZF_ZF_unit_Axioms_ext$'] : refl((tptp_fun__interpretation__(tptp_fun__canonicalInterpretation__(A__questionmark_v0)) | (~tptp_fun__zFAxioms__(A__questionmark_v0))) <=> (tptp_fun__interpretation__(tptp_fun__canonicalInterpretation__(A__questionmark_v0)) | (~tptp_fun__zFAxioms__(A__questionmark_v0))))),
% 0.64/0.72 inference(bind,[status(th)],[])).
% 0.64/0.72 tff(2,plain,
% 0.64/0.72 (![A__questionmark_v0: 'ZF_ZF_unit_Axioms_ext$'] : (tptp_fun__interpretation__(tptp_fun__canonicalInterpretation__(A__questionmark_v0)) | (~tptp_fun__zFAxioms__(A__questionmark_v0))) <=> ![A__questionmark_v0: 'ZF_ZF_unit_Axioms_ext$'] : (tptp_fun__interpretation__(tptp_fun__canonicalInterpretation__(A__questionmark_v0)) | (~tptp_fun__zFAxioms__(A__questionmark_v0)))),
% 0.64/0.72 inference(quant_intro,[status(thm)],[1])).
% 0.64/0.72 tff(3,plain,
% 0.64/0.72 (![A__questionmark_v0: 'ZF_ZF_unit_Axioms_ext$'] : (tptp_fun__interpretation__(tptp_fun__canonicalInterpretation__(A__questionmark_v0)) | (~tptp_fun__zFAxioms__(A__questionmark_v0))) <=> ![A__questionmark_v0: 'ZF_ZF_unit_Axioms_ext$'] : (tptp_fun__interpretation__(tptp_fun__canonicalInterpretation__(A__questionmark_v0)) | (~tptp_fun__zFAxioms__(A__questionmark_v0)))),
% 0.64/0.72 inference(rewrite,[status(thm)],[])).
% 0.64/0.72 tff(4,plain,
% 0.64/0.72 (^[A__questionmark_v0: 'ZF_ZF_unit_Axioms_ext$'] : rewrite((tptp_fun__zFAxioms__(A__questionmark_v0) => tptp_fun__interpretation__(tptp_fun__canonicalInterpretation__(A__questionmark_v0))) <=> (tptp_fun__interpretation__(tptp_fun__canonicalInterpretation__(A__questionmark_v0)) | (~tptp_fun__zFAxioms__(A__questionmark_v0))))),
% 0.64/0.72 inference(bind,[status(th)],[])).
% 0.64/0.72 tff(5,plain,
% 0.64/0.72 (![A__questionmark_v0: 'ZF_ZF_unit_Axioms_ext$'] : (tptp_fun__zFAxioms__(A__questionmark_v0) => tptp_fun__interpretation__(tptp_fun__canonicalInterpretation__(A__questionmark_v0))) <=> ![A__questionmark_v0: 'ZF_ZF_unit_Axioms_ext$'] : (tptp_fun__interpretation__(tptp_fun__canonicalInterpretation__(A__questionmark_v0)) | (~tptp_fun__zFAxioms__(A__questionmark_v0)))),
% 0.64/0.72 inference(quant_intro,[status(thm)],[4])).
% 0.64/0.72 tff(6,axiom,(![A__questionmark_v0: 'ZF_ZF_unit_Axioms_ext$'] : (tptp_fun__zFAxioms__(A__questionmark_v0) => tptp_fun__interpretation__(tptp_fun__canonicalInterpretation__(A__questionmark_v0)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','axiom29')).
% 0.64/0.72 tff(7,plain,
% 0.64/0.72 (![A__questionmark_v0: 'ZF_ZF_unit_Axioms_ext$'] : (tptp_fun__interpretation__(tptp_fun__canonicalInterpretation__(A__questionmark_v0)) | (~tptp_fun__zFAxioms__(A__questionmark_v0)))),
% 0.64/0.72 inference(modus_ponens,[status(thm)],[6, 5])).
% 0.64/0.72 tff(8,plain,
% 0.64/0.72 (![A__questionmark_v0: 'ZF_ZF_unit_Axioms_ext$'] : (tptp_fun__interpretation__(tptp_fun__canonicalInterpretation__(A__questionmark_v0)) | (~tptp_fun__zFAxioms__(A__questionmark_v0)))),
% 0.64/0.72 inference(modus_ponens,[status(thm)],[7, 3])).
% 0.64/0.72 tff(9,plain,(
% 0.64/0.72 ![A__questionmark_v0: 'ZF_ZF_unit_Axioms_ext$'] : (tptp_fun__interpretation__(tptp_fun__canonicalInterpretation__(A__questionmark_v0)) | (~tptp_fun__zFAxioms__(A__questionmark_v0)))),
% 0.64/0.72 inference(skolemize,[status(sab)],[8])).
% 0.64/0.72 tff(10,plain,
% 0.64/0.72 (![A__questionmark_v0: 'ZF_ZF_unit_Axioms_ext$'] : (tptp_fun__interpretation__(tptp_fun__canonicalInterpretation__(A__questionmark_v0)) | (~tptp_fun__zFAxioms__(A__questionmark_v0)))),
% 0.64/0.72 inference(modus_ponens,[status(thm)],[9, 2])).
% 0.64/0.72 tff(11,plain,
% 0.64/0.72 (tptp_fun__zFAxioms__(|'t$'|) <=> tptp_fun__zFAxioms__(|'t$'|)),
% 0.64/0.72 inference(rewrite,[status(thm)],[])).
% 0.64/0.72 tff(12,axiom,(tptp_fun__zFAxioms__(|'t$'|)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','axiom28')).
% 0.64/0.72 tff(13,plain,
% 0.70/0.78 (tptp_fun__zFAxioms__(|'t$'|)),
% 0.70/0.78 inference(modus_ponens,[status(thm)],[12, 11])).
% 0.70/0.78 tff(14,plain,
% 0.70/0.78 ((~tptp_fun__interpretation__(tptp_fun__canonicalInterpretation__(|'t$'|))) <=> (~tptp_fun__interpretation__(tptp_fun__canonicalInterpretation__(|'t$'|)))),
% 0.70/0.78 inference(rewrite,[status(thm)],[])).
% 0.70/0.78 tff(15,axiom,(~tptp_fun__interpretation__(tptp_fun__canonicalInterpretation__(|'t$'|))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','conjecture27')).
% 0.70/0.78 tff(16,plain,
% 0.70/0.78 (~tptp_fun__interpretation__(tptp_fun__canonicalInterpretation__(|'t$'|))),
% 0.70/0.78 inference(modus_ponens,[status(thm)],[15, 14])).
% 0.70/0.78 tff(17,plain,
% 0.70/0.78 (((~![A__questionmark_v0: 'ZF_ZF_unit_Axioms_ext$'] : (tptp_fun__interpretation__(tptp_fun__canonicalInterpretation__(A__questionmark_v0)) | (~tptp_fun__zFAxioms__(A__questionmark_v0)))) | (tptp_fun__interpretation__(tptp_fun__canonicalInterpretation__(|'t$'|)) | (~tptp_fun__zFAxioms__(|'t$'|)))) <=> ((~![A__questionmark_v0: 'ZF_ZF_unit_Axioms_ext$'] : (tptp_fun__interpretation__(tptp_fun__canonicalInterpretation__(A__questionmark_v0)) | (~tptp_fun__zFAxioms__(A__questionmark_v0)))) | tptp_fun__interpretation__(tptp_fun__canonicalInterpretation__(|'t$'|)) | (~tptp_fun__zFAxioms__(|'t$'|)))),
% 0.70/0.78 inference(rewrite,[status(thm)],[])).
% 0.70/0.78 tff(18,plain,
% 0.70/0.78 ((~![A__questionmark_v0: 'ZF_ZF_unit_Axioms_ext$'] : (tptp_fun__interpretation__(tptp_fun__canonicalInterpretation__(A__questionmark_v0)) | (~tptp_fun__zFAxioms__(A__questionmark_v0)))) | (tptp_fun__interpretation__(tptp_fun__canonicalInterpretation__(|'t$'|)) | (~tptp_fun__zFAxioms__(|'t$'|)))),
% 0.70/0.78 inference(quant_inst,[status(thm)],[])).
% 0.70/0.78 tff(19,plain,
% 0.70/0.78 ((~![A__questionmark_v0: 'ZF_ZF_unit_Axioms_ext$'] : (tptp_fun__interpretation__(tptp_fun__canonicalInterpretation__(A__questionmark_v0)) | (~tptp_fun__zFAxioms__(A__questionmark_v0)))) | tptp_fun__interpretation__(tptp_fun__canonicalInterpretation__(|'t$'|)) | (~tptp_fun__zFAxioms__(|'t$'|))),
% 0.70/0.78 inference(modus_ponens,[status(thm)],[18, 17])).
% 0.70/0.78 tff(20,plain,
% 0.70/0.78 ($false),
% 0.70/0.78 inference(unit_resolution,[status(thm)],[19, 16, 13, 10])).
% 0.70/0.78 % SZS output end Proof
%------------------------------------------------------------------------------