%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : COM309_1 : TPTP v9.3.0. Released v9.3.0.
% Transfm : none
% Format : tptp
% Command : run_E %s %d THM
% Computer : n013.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 : Tue May 5 06:23:08 PM UTC 2026
% Result : Theorem 0.30s 0.50s
% Output : Proof 0.30s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : COM309_1 : TPTP v9.3.0. Released v9.3.0.
% 0.00/0.11 % Command : run_E %s %d THM
% 0.14/0.32 % Computer : n013.cluster.edu
% 0.14/0.32 % Model : x86_64 x86_64
% 0.14/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.32 % Memory : 8042.1875MB
% 0.14/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.32 % CPULimit : 300
% 0.14/0.32 % WCLimit : 300
% 0.14/0.32 % DateTime : Mon May 4 20:47:27 EDT 2026
% 0.14/0.33 % CPUTime :
% 0.30/0.50 % SZS status Theorem
% 0.30/0.50 % SZS output start Proof
% 0.30/0.50 tff(vwelltypedRawtable_type, type, (
% 0.30/0.50 vwelltypedRawtable: ( vTType * vRawTable ) > $o)).
% 0.30/0.50 tff(vrawUnion_type, type, (
% 0.30/0.50 vrawUnion: ( vRawTable * vRawTable ) > vRawTable)).
% 0.30/0.50 tff(tptp_fun_Vrt1_307_type, type, (
% 0.30/0.50 tptp_fun_Vrt1_307: vRawTable)).
% 0.30/0.50 tff(vtempty_type, type, (
% 0.30/0.50 vtempty: vRawTable)).
% 0.30/0.50 tff(tptp_fun_Vtt_308_type, type, (
% 0.30/0.50 tptp_fun_Vtt_308: vTType)).
% 0.30/0.50 tff(1,plain,
% 0.30/0.50 (^[Vrt: vRawTable] : refl((vrawUnion(vtempty, Vrt) = Vrt) <=> (vrawUnion(vtempty, Vrt) = Vrt))),
% 0.30/0.50 inference(bind,[status(th)],[])).
% 0.30/0.50 tff(2,plain,
% 0.30/0.50 (![Vrt: vRawTable] : (vrawUnion(vtempty, Vrt) = Vrt) <=> ![Vrt: vRawTable] : (vrawUnion(vtempty, Vrt) = Vrt)),
% 0.30/0.50 inference(quant_intro,[status(thm)],[1])).
% 0.30/0.50 tff(3,plain,
% 0.30/0.50 (![Vrt: vRawTable] : (vrawUnion(vtempty, Vrt) = Vrt) <=> ![Vrt: vRawTable] : (vrawUnion(vtempty, Vrt) = Vrt)),
% 0.30/0.50 inference(rewrite,[status(thm)],[])).
% 0.30/0.50 tff(4,axiom,(![Vrt: vRawTable] : (vrawUnion(vtempty, Vrt) = Vrt)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p',''rawUnion-0'')).
% 0.30/0.50 tff(5,plain,
% 0.30/0.50 (![Vrt: vRawTable] : (vrawUnion(vtempty, Vrt) = Vrt)),
% 0.30/0.50 inference(modus_ponens,[status(thm)],[4, 3])).
% 0.30/0.50 tff(6,plain,(
% 0.30/0.50 ![Vrt: vRawTable] : (vrawUnion(vtempty, Vrt) = Vrt)),
% 0.30/0.50 inference(skolemize,[status(sab)],[5])).
% 0.30/0.50 tff(7,plain,
% 0.30/0.50 (![Vrt: vRawTable] : (vrawUnion(vtempty, Vrt) = Vrt)),
% 0.30/0.50 inference(modus_ponens,[status(thm)],[6, 2])).
% 0.30/0.50 tff(8,plain,
% 0.30/0.50 ((~![Vrt: vRawTable] : (vrawUnion(vtempty, Vrt) = Vrt)) | (vrawUnion(vtempty, Vrt1!307) = Vrt1!307)),
% 0.30/0.50 inference(quant_inst,[status(thm)],[])).
% 0.30/0.50 tff(9,plain,
% 0.30/0.50 (vrawUnion(vtempty, Vrt1!307) = Vrt1!307),
% 0.30/0.50 inference(unit_resolution,[status(thm)],[8, 7])).
% 0.30/0.50 tff(10,plain,
% 0.30/0.50 (vwelltypedRawtable(Vtt!308, vrawUnion(vtempty, Vrt1!307)) <=> vwelltypedRawtable(Vtt!308, Vrt1!307)),
% 0.30/0.50 inference(monotonicity,[status(thm)],[9])).
% 0.30/0.50 tff(11,plain,
% 0.30/0.50 (vwelltypedRawtable(Vtt!308, Vrt1!307) <=> vwelltypedRawtable(Vtt!308, vrawUnion(vtempty, Vrt1!307))),
% 0.30/0.50 inference(symmetry,[status(thm)],[10])).
% 0.30/0.50 tff(12,plain,
% 0.30/0.50 ((~![Vtt: vTType, Vrt1: vRawTable] : ((~(vwelltypedRawtable(Vtt, vtempty) & vwelltypedRawtable(Vtt, Vrt1))) | vwelltypedRawtable(Vtt, vrawUnion(vtempty, Vrt1)))) <=> (~![Vtt: vTType, Vrt1: vRawTable] : ((~(vwelltypedRawtable(Vtt, vtempty) & vwelltypedRawtable(Vtt, Vrt1))) | vwelltypedRawtable(Vtt, vrawUnion(vtempty, Vrt1))))),
% 0.30/0.50 inference(rewrite,[status(thm)],[])).
% 0.30/0.50 tff(13,plain,
% 0.30/0.50 ((~![Vtt: vTType, Vrt1: vRawTable] : ((vwelltypedRawtable(Vtt, vtempty) & vwelltypedRawtable(Vtt, Vrt1)) => vwelltypedRawtable(Vtt, vrawUnion(vtempty, Vrt1)))) <=> (~![Vtt: vTType, Vrt1: vRawTable] : ((~(vwelltypedRawtable(Vtt, vtempty) & vwelltypedRawtable(Vtt, Vrt1))) | vwelltypedRawtable(Vtt, vrawUnion(vtempty, Vrt1))))),
% 0.30/0.50 inference(rewrite,[status(thm)],[])).
% 0.30/0.50 tff(14,axiom,(~![Vtt: vTType, Vrt1: vRawTable] : ((vwelltypedRawtable(Vtt, vtempty) & vwelltypedRawtable(Vtt, Vrt1)) => vwelltypedRawtable(Vtt, vrawUnion(vtempty, Vrt1)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p',''rawUnionPreservesWellTypedRaw-tempty'')).
% 0.30/0.50 tff(15,plain,
% 0.30/0.50 (~![Vtt: vTType, Vrt1: vRawTable] : ((~(vwelltypedRawtable(Vtt, vtempty) & vwelltypedRawtable(Vtt, Vrt1))) | vwelltypedRawtable(Vtt, vrawUnion(vtempty, Vrt1)))),
% 0.30/0.50 inference(modus_ponens,[status(thm)],[14, 13])).
% 0.30/0.50 tff(16,plain,
% 0.30/0.50 (~![Vtt: vTType, Vrt1: vRawTable] : ((~(vwelltypedRawtable(Vtt, vtempty) & vwelltypedRawtable(Vtt, Vrt1))) | vwelltypedRawtable(Vtt, vrawUnion(vtempty, Vrt1)))),
% 0.30/0.50 inference(modus_ponens,[status(thm)],[15, 12])).
% 0.30/0.50 tff(17,plain,
% 0.30/0.50 (~![Vtt: vTType, Vrt1: vRawTable] : ((~(vwelltypedRawtable(Vtt, vtempty) & vwelltypedRawtable(Vtt, Vrt1))) | vwelltypedRawtable(Vtt, vrawUnion(vtempty, Vrt1)))),
% 0.30/0.50 inference(modus_ponens,[status(thm)],[16, 12])).
% 0.30/0.50 tff(18,plain,
% 0.30/0.50 (~![Vtt: vTType, Vrt1: vRawTable] : ((~(vwelltypedRawtable(Vtt, vtempty) & vwelltypedRawtable(Vtt, Vrt1))) | vwelltypedRawtable(Vtt, vrawUnion(vtempty, Vrt1)))),
% 0.30/0.50 inference(modus_ponens,[status(thm)],[17, 12])).
% 0.30/0.50 tff(19,plain,(
% 0.30/0.50 ~((~(vwelltypedRawtable(Vtt!308, vtempty) & vwelltypedRawtable(Vtt!308, Vrt1!307))) | vwelltypedRawtable(Vtt!308, vrawUnion(vtempty, Vrt1!307)))),
% 0.30/0.52 inference(skolemize,[status(sab)],[18])).
% 0.30/0.52 tff(20,plain,
% 0.30/0.52 (vwelltypedRawtable(Vtt!308, vtempty) & vwelltypedRawtable(Vtt!308, Vrt1!307)),
% 0.30/0.52 inference(or_elim,[status(thm)],[19])).
% 0.30/0.52 tff(21,plain,
% 0.30/0.52 (vwelltypedRawtable(Vtt!308, Vrt1!307)),
% 0.30/0.52 inference(and_elim,[status(thm)],[20])).
% 0.30/0.52 tff(22,plain,
% 0.30/0.52 (vwelltypedRawtable(Vtt!308, vrawUnion(vtempty, Vrt1!307))),
% 0.30/0.52 inference(modus_ponens,[status(thm)],[21, 11])).
% 0.30/0.52 tff(23,plain,
% 0.30/0.52 (~vwelltypedRawtable(Vtt!308, vrawUnion(vtempty, Vrt1!307))),
% 0.30/0.52 inference(or_elim,[status(thm)],[19])).
% 0.30/0.52 tff(24,plain,
% 0.30/0.52 ($false),
% 0.30/0.52 inference(unit_resolution,[status(thm)],[23, 22])).
% 0.30/0.52 % SZS output end Proof
% 0.30/0.52 % E exiting
%------------------------------------------------------------------------------