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Z3---4.15.1.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : Z3---4.15.1
% Problem  : COM243_1 : TPTP v9.3.0. Released v9.3.0.
% Transfm  : none
% Format   : tptp
% Command  : run_E %s %d THM

% Computer : n027.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 06:23:03 PM UTC 2026

% Result   : Theorem 0.15s 0.45s
% Output   : Proof 0.15s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.14  % Problem    : COM243_1 : TPTP v9.3.0. Released v9.3.0.
% 0.11/0.14  % Command    : run_E %s %d THM
% 0.15/0.36  % Computer : n027.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit   : 300
% 0.15/0.36  % WCLimit    : 300
% 0.15/0.36  % DateTime   : Mon May  4 19:32:21 EDT 2026
% 0.15/0.36  % CPUTime    : 
% 0.15/0.45  % SZS status Theorem
% 0.15/0.45  % SZS output start Proof
% 0.15/0.45  tff(visValue_type, type, (
% 0.15/0.45     visValue: vTerm > $o)).
% 0.15/0.45  tff(vTrue_type, type, (
% 0.15/0.45     vTrue: vTerm)).
% 0.15/0.45  tff(vptchecksimple_type, type, (
% 0.15/0.45     vptchecksimple: ( vTerm * vTy ) > $o)).
% 0.15/0.45  tff(tptp_fun_VT_62_type, type, (
% 0.15/0.45     tptp_fun_VT_62: vTy)).
% 0.15/0.45  tff(vnoTerm_type, type, (
% 0.15/0.45     vnoTerm: vOptTerm)).
% 0.15/0.45  tff(vreduce_type, type, (
% 0.15/0.45     vreduce: vTerm > vOptTerm)).
% 0.15/0.45  tff(1,plain,
% 0.15/0.45      ((~![VT: vTy] : ((~(vreduce(vTrue) = vnoTerm)) | (~(vptchecksimple(vTrue, VT) & (~visValue(vTrue)))))) <=> (~![VT: vTy] : ((~(vreduce(vTrue) = vnoTerm)) | (~(vptchecksimple(vTrue, VT) & (~visValue(vTrue))))))),
% 0.15/0.45      inference(rewrite,[status(thm)],[])).
% 0.15/0.45  tff(2,plain,
% 0.15/0.45      ((~![VT: vTy] : ((vptchecksimple(vTrue, VT) & (~visValue(vTrue))) => (~(vreduce(vTrue) = vnoTerm)))) <=> (~![VT: vTy] : ((~(vreduce(vTrue) = vnoTerm)) | (~(vptchecksimple(vTrue, VT) & (~visValue(vTrue))))))),
% 0.15/0.45      inference(rewrite,[status(thm)],[])).
% 0.15/0.45  tff(3,axiom,(~![VT: vTy] : ((vptchecksimple(vTrue, VT) & (~visValue(vTrue))) => (~(vreduce(vTrue) = vnoTerm)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p',''Progress-True'')).
% 0.15/0.45  tff(4,plain,
% 0.15/0.45      (~![VT: vTy] : ((~(vreduce(vTrue) = vnoTerm)) | (~(vptchecksimple(vTrue, VT) & (~visValue(vTrue)))))),
% 0.15/0.45      inference(modus_ponens,[status(thm)],[3, 2])).
% 0.15/0.45  tff(5,plain,
% 0.15/0.45      (~![VT: vTy] : ((~(vreduce(vTrue) = vnoTerm)) | (~(vptchecksimple(vTrue, VT) & (~visValue(vTrue)))))),
% 0.15/0.45      inference(modus_ponens,[status(thm)],[4, 1])).
% 0.15/0.45  tff(6,plain,
% 0.15/0.45      (~![VT: vTy] : ((~(vreduce(vTrue) = vnoTerm)) | (~(vptchecksimple(vTrue, VT) & (~visValue(vTrue)))))),
% 0.15/0.45      inference(modus_ponens,[status(thm)],[5, 1])).
% 0.15/0.45  tff(7,plain,
% 0.15/0.45      (~![VT: vTy] : ((~(vreduce(vTrue) = vnoTerm)) | (~(vptchecksimple(vTrue, VT) & (~visValue(vTrue)))))),
% 0.15/0.45      inference(modus_ponens,[status(thm)],[6, 1])).
% 0.15/0.45  tff(8,plain,(
% 0.15/0.45      ~((~(vreduce(vTrue) = vnoTerm)) | (~(vptchecksimple(vTrue, VT!62) & (~visValue(vTrue)))))),
% 0.15/0.45      inference(skolemize,[status(sab)],[7])).
% 0.15/0.45  tff(9,plain,
% 0.15/0.45      (vptchecksimple(vTrue, VT!62) & (~visValue(vTrue))),
% 0.15/0.45      inference(or_elim,[status(thm)],[8])).
% 0.15/0.45  tff(10,plain,
% 0.15/0.45      (~visValue(vTrue)),
% 0.15/0.45      inference(and_elim,[status(thm)],[9])).
% 0.15/0.45  tff(11,plain,
% 0.15/0.45      (visValue(vTrue) <=> visValue(vTrue)),
% 0.15/0.45      inference(rewrite,[status(thm)],[])).
% 0.15/0.45  tff(12,axiom,(visValue(vTrue)), file('/export/starexec/sandbox/benchmark/theBenchmark.p',''isValue-0'')).
% 0.15/0.45  tff(13,plain,
% 0.15/0.45      (visValue(vTrue)),
% 0.15/0.45      inference(modus_ponens,[status(thm)],[12, 11])).
% 0.15/0.45  tff(14,plain,
% 0.15/0.45      ($false),
% 0.15/0.45      inference(unit_resolution,[status(thm)],[13, 10])).
% 0.15/0.45  % SZS output end Proof
% 0.28/0.45  % E exiting
%------------------------------------------------------------------------------