%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : COM227_1 : TPTP v9.3.0. Released v9.3.0.
% Transfm : none
% Format : tptp
% Command : run_E %s %d THM
% Computer : n010.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 06:23:01 PM UTC 2026
% Result : Theorem 0.18s 0.41s
% Output : Proof 0.18s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : COM227_1 : TPTP v9.3.0. Released v9.3.0.
% 0.00/0.11 % Command : run_E %s %d THM
% 0.14/0.32 % Computer : n010.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 19:09:53 EDT 2026
% 0.14/0.32 % CPUTime :
% 0.18/0.41 % SZS status Theorem
% 0.18/0.41 % SZS output start Proof
% 0.18/0.41 tff(visValue_type, type, (
% 0.18/0.41 visValue: vTerm > $o)).
% 0.18/0.41 tff(vFalse_type, type, (
% 0.18/0.41 vFalse: vTerm)).
% 0.18/0.41 tff(vptchecksimple_type, type, (
% 0.18/0.41 vptchecksimple: ( vTerm * vTy ) > $o)).
% 0.18/0.41 tff(tptp_fun_VT_62_type, type, (
% 0.18/0.41 tptp_fun_VT_62: vTy)).
% 0.18/0.41 tff(vnoTerm_type, type, (
% 0.18/0.41 vnoTerm: vOptTerm)).
% 0.18/0.41 tff(vreduce_type, type, (
% 0.18/0.41 vreduce: vTerm > vOptTerm)).
% 0.18/0.41 tff(1,plain,
% 0.18/0.41 ((~![VT: vTy] : ((~(vreduce(vFalse) = vnoTerm)) | (~(vptchecksimple(vFalse, VT) & (~visValue(vFalse)))))) <=> (~![VT: vTy] : ((~(vreduce(vFalse) = vnoTerm)) | (~(vptchecksimple(vFalse, VT) & (~visValue(vFalse))))))),
% 0.18/0.41 inference(rewrite,[status(thm)],[])).
% 0.18/0.41 tff(2,plain,
% 0.18/0.41 ((~![VT: vTy] : ((vptchecksimple(vFalse, VT) & (~visValue(vFalse))) => (~(vreduce(vFalse) = vnoTerm)))) <=> (~![VT: vTy] : ((~(vreduce(vFalse) = vnoTerm)) | (~(vptchecksimple(vFalse, VT) & (~visValue(vFalse))))))),
% 0.18/0.41 inference(rewrite,[status(thm)],[])).
% 0.18/0.41 tff(3,axiom,(~![VT: vTy] : ((vptchecksimple(vFalse, VT) & (~visValue(vFalse))) => (~(vreduce(vFalse) = vnoTerm)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p',''Progress-False'')).
% 0.18/0.41 tff(4,plain,
% 0.18/0.41 (~![VT: vTy] : ((~(vreduce(vFalse) = vnoTerm)) | (~(vptchecksimple(vFalse, VT) & (~visValue(vFalse)))))),
% 0.18/0.41 inference(modus_ponens,[status(thm)],[3, 2])).
% 0.18/0.41 tff(5,plain,
% 0.18/0.41 (~![VT: vTy] : ((~(vreduce(vFalse) = vnoTerm)) | (~(vptchecksimple(vFalse, VT) & (~visValue(vFalse)))))),
% 0.18/0.41 inference(modus_ponens,[status(thm)],[4, 1])).
% 0.18/0.41 tff(6,plain,
% 0.18/0.41 (~![VT: vTy] : ((~(vreduce(vFalse) = vnoTerm)) | (~(vptchecksimple(vFalse, VT) & (~visValue(vFalse)))))),
% 0.18/0.41 inference(modus_ponens,[status(thm)],[5, 1])).
% 0.18/0.41 tff(7,plain,
% 0.18/0.41 (~![VT: vTy] : ((~(vreduce(vFalse) = vnoTerm)) | (~(vptchecksimple(vFalse, VT) & (~visValue(vFalse)))))),
% 0.18/0.41 inference(modus_ponens,[status(thm)],[6, 1])).
% 0.18/0.41 tff(8,plain,(
% 0.18/0.41 ~((~(vreduce(vFalse) = vnoTerm)) | (~(vptchecksimple(vFalse, VT!62) & (~visValue(vFalse)))))),
% 0.18/0.41 inference(skolemize,[status(sab)],[7])).
% 0.18/0.41 tff(9,plain,
% 0.18/0.41 (vptchecksimple(vFalse, VT!62) & (~visValue(vFalse))),
% 0.18/0.41 inference(or_elim,[status(thm)],[8])).
% 0.18/0.41 tff(10,plain,
% 0.18/0.41 (~visValue(vFalse)),
% 0.18/0.41 inference(and_elim,[status(thm)],[9])).
% 0.18/0.41 tff(11,plain,
% 0.18/0.41 (visValue(vFalse) <=> visValue(vFalse)),
% 0.18/0.41 inference(rewrite,[status(thm)],[])).
% 0.18/0.41 tff(12,axiom,(visValue(vFalse)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p',''isValue-1'')).
% 0.18/0.41 tff(13,plain,
% 0.18/0.41 (visValue(vFalse)),
% 0.18/0.41 inference(modus_ponens,[status(thm)],[12, 11])).
% 0.18/0.41 tff(14,plain,
% 0.18/0.41 ($false),
% 0.18/0.41 inference(unit_resolution,[status(thm)],[13, 10])).
% 0.18/0.41 % SZS output end Proof
% 0.18/0.41 % E exiting
%------------------------------------------------------------------------------