TSTP Solution File: NUM429+3 by leanCoP---2.2
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- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : NUM429+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% 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 : 600s
% DateTime : Mon Jul 18 11:40:44 EDT 2022
% Result : Theorem 0.69s 1.38s
% Output : Proof 0.69s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : NUM429+3 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.12 % Command : leancop_casc.sh %s %d
% 0.11/0.32 % Computer : n010.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 600
% 0.11/0.32 % DateTime : Tue Jul 5 05:48:02 EDT 2022
% 0.11/0.33 % CPUTime :
% 0.69/1.38 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.69/1.39 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.69/1.39
% 0.69/1.39 %-----------------------------------------------------
% 0.69/1.39 fof(m__, conjecture, ? [_53475] : (aInteger0(_53475) & sdtasdt0(xq, _53475) = sdtpldt0(xa, smndt0(xb))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', m__)).
% 0.69/1.39 fof(mIntZero, axiom, aInteger0(sz00), file('/export/starexec/sandbox/benchmark/theBenchmark.p', mIntZero)).
% 0.69/1.39 fof(mIntNeg, axiom, ! [_53763] : (aInteger0(_53763) => aInteger0(smndt0(_53763))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', mIntNeg)).
% 0.69/1.39 fof(mIntPlus, axiom, ! [_53893, _53896] : (aInteger0(_53893) & aInteger0(_53896) => aInteger0(sdtpldt0(_53893, _53896))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', mIntPlus)).
% 0.69/1.39 fof(mAddZero, axiom, ! [_54065] : (aInteger0(_54065) => sdtpldt0(_54065, sz00) = _54065 & _54065 = sdtpldt0(sz00, _54065)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', mAddZero)).
% 0.69/1.39 fof(mMulZero, axiom, ! [_54254] : (aInteger0(_54254) => sdtasdt0(_54254, sz00) = sz00 & sz00 = sdtasdt0(sz00, _54254)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', mMulZero)).
% 0.69/1.39 fof(mZeroDiv, axiom, ! [_54437, _54440] : (aInteger0(_54437) & aInteger0(_54440) => sdtasdt0(_54437, _54440) = sz00 => _54437 = sz00 | _54440 = sz00), file('/export/starexec/sandbox/benchmark/theBenchmark.p', mZeroDiv)).
% 0.69/1.39 fof(mDivisor, definition, ! [_54657] : (aInteger0(_54657) => ! [_54672] : (aDivisorOf0(_54672, _54657) <=> aInteger0(_54672) & (! _54672) = sz00 & ? [_54705] : (aInteger0(_54705) & sdtasdt0(_54672, _54705) = _54657))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', mDivisor)).
% 0.69/1.39 fof(m__818, hypothesis, aInteger0(xa) & aInteger0(xb) & aInteger0(xq) & (! xq) = sz00 & aInteger0(xc), file('/export/starexec/sandbox/benchmark/theBenchmark.p', m__818)).
% 0.69/1.39 fof(m__853, hypothesis, ? [_55100] : (aInteger0(_55100) & sdtasdt0(xq, _55100) = sdtpldt0(xa, smndt0(xb))) & aDivisorOf0(xq, sdtpldt0(xa, smndt0(xb))) & sdteqdtlpzmzozddtrp0(xa, xb, xq) & ? [_55100] : (aInteger0(_55100) & sdtasdt0(xq, _55100) = sdtpldt0(xb, smndt0(xc))) & aDivisorOf0(xq, sdtpldt0(xb, smndt0(xc))) & sdteqdtlpzmzozddtrp0(xb, xc, xq), file('/export/starexec/sandbox/benchmark/theBenchmark.p', m__853)).
% 0.69/1.39
% 0.69/1.39 cnf(1, plain, [aInteger0(_30513), sdtasdt0(xq, _30513) = sdtpldt0(xa, smndt0(xb))], clausify(m__)).
% 0.69/1.39 cnf(2, plain, [_18261 = _18310, -(smndt0(_18261) = smndt0(_18310))], theory(equality)).
% 0.69/1.39 cnf(3, plain, [-(sdtpldt0(_17647, _17780) = sdtpldt0(_17714, _17845)), _17647 = _17714, _17780 = _17845], theory(equality)).
% 0.69/1.39 cnf(4, plain, [-(_14102 = _14102)], theory(equality)).
% 0.69/1.39 cnf(5, plain, [-(_14534 = _14645), _14534 = _14590, _14590 = _14645], theory(equality)).
% 0.69/1.39 cnf(6, plain, [-(aDivisorOf0(_15077, _15208)), aDivisorOf0(_15010, _15143), _15010 = _15077, _15143 = _15208], theory(equality)).
% 0.69/1.39 cnf(7, plain, [-(aInteger0(_15683)), _15634 = _15683, aInteger0(_15634)], theory(equality)).
% 0.69/1.39 cnf(8, plain, [-(aInteger0(sz00))], clausify(mIntZero)).
% 0.69/1.39 cnf(9, plain, [aInteger0(_19109), -(aInteger0(smndt0(_19109)))], clausify(mIntNeg)).
% 0.69/1.39 cnf(10, plain, [-(aInteger0(sdtpldt0(_19337, _19388))), aInteger0(_19337), aInteger0(_19388)], clausify(mIntPlus)).
% 0.69/1.39 cnf(11, plain, [aInteger0(_21184), -(sdtpldt0(_21184, sz00) = _21184)], clausify(mAddZero)).
% 0.69/1.39 cnf(12, plain, [aInteger0(_24542), -(sdtasdt0(_24542, sz00) = sz00)], clausify(mMulZero)).
% 0.69/1.39 cnf(13, plain, [aInteger0(_25458), aInteger0(_25394), sdtasdt0(_25394, _25458) = sz00, -(_25394 = sz00), -(_25458 = sz00)], clausify(mZeroDiv)).
% 0.69/1.39 cnf(14, plain, [aInteger0(_25959), aDivisorOf0(_26073, _25959), -(aInteger0(_26073))], clausify(mDivisor)).
% 0.69/1.39 cnf(15, plain, [aInteger0(_25959), aDivisorOf0(_26073, _25959), _26073 = sz00], clausify(mDivisor)).
% 0.69/1.39 cnf(16, plain, [aInteger0(_25959), -(aDivisorOf0(_26073, _25959)), aInteger0(_26073), -(_26073 = sz00), aInteger0(_26316), sdtasdt0(_26073, _26316) = _25959], clausify(mDivisor)).
% 0.69/1.39 cnf(17, plain, [-(aInteger0(xa))], clausify(m__818)).
% 0.69/1.39 cnf(18, plain, [-(aInteger0(xb))], clausify(m__818)).
% 0.69/1.39 cnf(19, plain, [-(aInteger0(xq))], clausify(m__818)).
% 0.69/1.39 cnf(20, plain, [xq = sz00], clausify(m__818)).
% 0.69/1.39 cnf(21, plain, [-(aInteger0(2 ^ []))], clausify(m__853)).
% 0.69/1.39 cnf(22, plain, [-(sdtasdt0(xq, 2 ^ []) = sdtpldt0(xa, smndt0(xb)))], clausify(m__853)).
% 0.69/1.39 cnf(23, plain, [-(aDivisorOf0(xq, sdtpldt0(xa, smndt0(xb))))], clausify(m__853)).
% 0.69/1.39
% 0.69/1.39 cnf('1',plain,[aInteger0(sz00), aDivisorOf0(xq, sz00), xq = sz00],start(15,bind([[_25959, _26073], [sz00, xq]]))).
% 0.69/1.39 cnf('1.1',plain,[-(aInteger0(sz00))],extension(8)).
% 0.69/1.39 cnf('1.2',plain,[-(aDivisorOf0(xq, sz00)), aDivisorOf0(xq, sdtpldt0(xa, smndt0(xb))), xq = xq, sdtpldt0(xa, smndt0(xb)) = sz00],extension(6,bind([[_15010, _15077, _15143, _15208], [xq, xq, sdtpldt0(xa, smndt0(xb)), sz00]]))).
% 0.69/1.39 cnf('1.2.1',plain,[-(aDivisorOf0(xq, sdtpldt0(xa, smndt0(xb)))), aDivisorOf0(xq, sdtpldt0(xa, smndt0(xb))), xq = xq, sdtpldt0(xa, smndt0(xb)) = sdtpldt0(xa, smndt0(xb))],extension(6,bind([[_15010, _15077, _15143, _15208], [xq, xq, sdtpldt0(xa, smndt0(xb)), sdtpldt0(xa, smndt0(xb))]]))).
% 0.69/1.39 cnf('1.2.1.1',plain,[-(aDivisorOf0(xq, sdtpldt0(xa, smndt0(xb)))), aDivisorOf0(xq, sdtpldt0(xa, smndt0(xb))), xq = xq, sdtpldt0(xa, smndt0(xb)) = sdtpldt0(xa, smndt0(xb))],extension(6,bind([[_15010, _15077, _15143, _15208], [xq, xq, sdtpldt0(xa, smndt0(xb)), sdtpldt0(xa, smndt0(xb))]]))).
% 0.69/1.39 cnf('1.2.1.1.1',plain,[-(aDivisorOf0(xq, sdtpldt0(xa, smndt0(xb)))), aDivisorOf0(xq, sdtpldt0(xa, smndt0(xb))), xq = xq, sdtpldt0(xa, smndt0(xb)) = sdtpldt0(xa, smndt0(xb))],extension(6,bind([[_15010, _15077, _15143, _15208], [xq, xq, sdtpldt0(xa, smndt0(xb)), sdtpldt0(xa, smndt0(xb))]]))).
% 0.69/1.39 cnf('1.2.1.1.1.1',plain,[-(aDivisorOf0(xq, sdtpldt0(xa, smndt0(xb))))],extension(23)).
% 0.69/1.39 cnf('1.2.1.1.1.2',plain,[-(xq = xq)],extension(4,bind([[_14102], [xq]]))).
% 0.69/1.39 cnf('1.2.1.1.1.3',plain,[-(sdtpldt0(xa, smndt0(xb)) = sdtpldt0(xa, smndt0(xb)))],extension(4,bind([[_14102], [sdtpldt0(xa, smndt0(xb))]]))).
% 0.69/1.39 cnf('1.2.1.1.2',plain,[-(xq = xq)],extension(4,bind([[_14102], [xq]]))).
% 0.69/1.39 cnf('1.2.1.1.3',plain,[-(sdtpldt0(xa, smndt0(xb)) = sdtpldt0(xa, smndt0(xb))), xa = xa, smndt0(xb) = smndt0(xb)],extension(3,bind([[_17647, _17714, _17780, _17845], [xa, xa, smndt0(xb), smndt0(xb)]]))).
% 0.69/1.39 cnf('1.2.1.1.3.1',plain,[-(xa = xa)],extension(4,bind([[_14102], [xa]]))).
% 0.69/1.39 cnf('1.2.1.1.3.2',plain,[-(smndt0(xb) = smndt0(xb))],extension(4,bind([[_14102], [smndt0(xb)]]))).
% 0.69/1.39 cnf('1.2.1.2',plain,[-(xq = xq)],extension(4,bind([[_14102], [xq]]))).
% 0.69/1.39 cnf('1.2.1.3',plain,[-(sdtpldt0(xa, smndt0(xb)) = sdtpldt0(xa, smndt0(xb))), xa = xa, smndt0(xb) = smndt0(xb)],extension(3,bind([[_17647, _17714, _17780, _17845], [xa, xa, smndt0(xb), smndt0(xb)]]))).
% 0.69/1.39 cnf('1.2.1.3.1',plain,[-(xa = xa)],extension(4,bind([[_14102], [xa]]))).
% 0.69/1.39 cnf('1.2.1.3.2',plain,[-(smndt0(xb) = smndt0(xb)), xb = xb],extension(2,bind([[_18261, _18310], [xb, xb]]))).
% 0.69/1.39 cnf('1.2.1.3.2.1',plain,[-(xb = xb)],extension(4,bind([[_14102], [xb]]))).
% 0.69/1.39 cnf('1.2.2',plain,[-(xq = xq)],extension(4,bind([[_14102], [xq]]))).
% 0.69/1.39 cnf('1.2.3',plain,[-(sdtpldt0(xa, smndt0(xb)) = sz00), aInteger0(sz00), aInteger0(sdtpldt0(xa, smndt0(xb))), sdtasdt0(sdtpldt0(xa, smndt0(xb)), sz00) = sz00, -(sz00 = sz00)],extension(13,bind([[_25394, _25458], [sdtpldt0(xa, smndt0(xb)), sz00]]))).
% 0.69/1.39 cnf('1.2.3.1',plain,[-(aInteger0(sz00))],extension(8)).
% 0.69/1.39 cnf('1.2.3.2',plain,[-(aInteger0(sdtpldt0(xa, smndt0(xb)))), aInteger0(xa), aInteger0(smndt0(xb))],extension(10,bind([[_19337, _19388], [xa, smndt0(xb)]]))).
% 0.69/1.39 cnf('1.2.3.2.1',plain,[-(aInteger0(xa))],extension(17)).
% 0.69/1.39 cnf('1.2.3.2.2',plain,[-(aInteger0(smndt0(xb))), aInteger0(xb)],extension(9,bind([[_19109], [xb]]))).
% 0.69/1.39 cnf('1.2.3.2.2.1',plain,[-(aInteger0(xb))],extension(18)).
% 0.69/1.39 cnf('1.2.3.3',plain,[-(sdtasdt0(sdtpldt0(xa, smndt0(xb)), sz00) = sz00), aInteger0(sdtpldt0(xa, smndt0(xb)))],extension(12,bind([[_24542], [sdtpldt0(xa, smndt0(xb))]]))).
% 0.69/1.39 cnf('1.2.3.3.1',plain,[-(aInteger0(sdtpldt0(xa, smndt0(xb))))],lemmata('1.2.3')).
% 0.69/1.39 cnf('1.2.3.4',plain,[sz00 = sz00, -(aInteger0(sz00)), aInteger0(sz00)],extension(7,bind([[_15683, _15634], [sz00, sz00]]))).
% 0.69/1.39 cnf('1.2.3.4.1',plain,[aInteger0(sz00), -(aDivisorOf0(xq, sz00)), aInteger0(xq), -(xq = sz00), aInteger0(sz00), sdtasdt0(xq, sz00) = sz00],extension(16,bind([[_26073, _26316, _25959], [xq, sz00, sz00]]))).
% 0.69/1.39 cnf('1.2.3.4.1.1',plain,[aDivisorOf0(xq, sz00)],reduction('1')).
% 0.69/1.39 cnf('1.2.3.4.1.2',plain,[-(aInteger0(xq))],extension(19)).
% 0.69/1.39 cnf('1.2.3.4.1.3',plain,[xq = sz00, -(xq = sz00), sz00 = sz00],extension(5,bind([[_14534, _14590, _14645], [xq, sz00, sz00]]))).
% 0.69/1.39 cnf('1.2.3.4.1.3.1',plain,[xq = sz00],extension(20)).
% 0.69/1.39 cnf('1.2.3.4.1.3.2',plain,[-(sz00 = sz00)],extension(4,bind([[_14102], [sz00]]))).
% 0.69/1.39 cnf('1.2.3.4.1.4',plain,[-(aInteger0(sz00))],extension(8)).
% 0.69/1.39 cnf('1.2.3.4.1.5',plain,[-(sdtasdt0(xq, sz00) = sz00), aInteger0(xq)],extension(12,bind([[_24542], [xq]]))).
% 0.69/1.39 cnf('1.2.3.4.1.5.1',plain,[-(aInteger0(xq))],extension(19)).
% 0.69/1.39 cnf('1.2.3.4.2',plain,[-(aInteger0(sz00))],extension(8)).
% 0.69/1.39 cnf('1.3',plain,[-(xq = sz00), aInteger0(sz00), aInteger0(xq), sdtasdt0(xq, sz00) = sz00, -(sz00 = sz00)],extension(13,bind([[_25394, _25458], [xq, sz00]]))).
% 0.69/1.39 cnf('1.3.1',plain,[-(aInteger0(sz00))],extension(8)).
% 0.69/1.39 cnf('1.3.2',plain,[-(aInteger0(xq)), aInteger0(sz00), aDivisorOf0(xq, sz00)],extension(14,bind([[_26073, _25959], [xq, sz00]]))).
% 0.69/1.39 cnf('1.3.2.1',plain,[-(aInteger0(sz00))],extension(8)).
% 0.69/1.39 cnf('1.3.2.2',plain,[-(aDivisorOf0(xq, sz00))],lemmata('1')).
% 0.69/1.39 cnf('1.3.3',plain,[-(sdtasdt0(xq, sz00) = sz00), aInteger0(xq)],extension(12,bind([[_24542], [xq]]))).
% 0.69/1.39 cnf('1.3.3.1',plain,[-(aInteger0(xq))],extension(19)).
% 0.69/1.39 cnf('1.3.4',plain,[sz00 = sz00, -(aInteger0(sz00)), aInteger0(sz00)],extension(7,bind([[_15683, _15634], [sz00, sz00]]))).
% 0.69/1.39 cnf('1.3.4.1',plain,[aInteger0(sz00), -(aInteger0(sdtpldt0(2 ^ [], sz00))), aInteger0(2 ^ [])],extension(10,bind([[_19388, _19337], [sz00, 2 ^ []]]))).
% 0.69/1.39 cnf('1.3.4.1.1',plain,[aInteger0(sdtpldt0(2 ^ [], sz00)), -(aInteger0(2 ^ [])), sdtpldt0(2 ^ [], sz00) = 2 ^ []],extension(7,bind([[_15634, _15683], [sdtpldt0(2 ^ [], sz00), 2 ^ []]]))).
% 0.69/1.39 cnf('1.3.4.1.1.1',plain,[aInteger0(2 ^ []), sdtasdt0(xq, 2 ^ []) = sdtpldt0(xa, smndt0(xb))],extension(1,bind([[_30513], [2 ^ []]]))).
% 0.69/1.39 cnf('1.3.4.1.1.1.1',plain,[-(sdtasdt0(xq, 2 ^ []) = sdtpldt0(xa, smndt0(xb)))],extension(22)).
% 0.69/1.39 cnf('1.3.4.1.1.2',plain,[-(sdtpldt0(2 ^ [], sz00) = 2 ^ []), aInteger0(2 ^ [])],extension(11,bind([[_21184], [2 ^ []]]))).
% 0.69/1.39 cnf('1.3.4.1.1.2.1',plain,[-(aInteger0(2 ^ []))],extension(21)).
% 0.69/1.39 cnf('1.3.4.1.2',plain,[-(aInteger0(2 ^ []))],extension(21)).
% 0.69/1.39 cnf('1.3.4.2',plain,[-(aInteger0(sz00))],extension(8)).
% 0.69/1.39 %-----------------------------------------------------
% 0.69/1.40
% 0.69/1.40 % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------