TSTP Solution File: NUM427+3 by leanCoP---2.2
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- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : NUM427+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n021.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 11:40:43 EDT 2022
% Result : Theorem 3.97s 4.45s
% Output : Proof 3.97s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : NUM427+3 : TPTP v8.1.0. Released v4.0.0.
% 0.00/0.09 % Command : leancop_casc.sh %s %d
% 0.08/0.30 % Computer : n021.cluster.edu
% 0.08/0.30 % Model : x86_64 x86_64
% 0.08/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.30 % Memory : 8042.1875MB
% 0.08/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.08/0.30 % CPULimit : 300
% 0.08/0.30 % WCLimit : 600
% 0.08/0.30 % DateTime : Thu Jul 7 12:13:34 EDT 2022
% 0.08/0.30 % CPUTime :
% 3.97/4.45 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.97/4.46 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.97/4.47
% 3.97/4.47 %-----------------------------------------------------
% 3.97/4.47 fof(m__, conjecture, ? [_64207] : (aInteger0(_64207) & sdtasdt0(xq, _64207) = sdtpldt0(xb, smndt0(xa))) | aDivisorOf0(xq, sdtpldt0(xb, smndt0(xa))) | sdteqdtlpzmzozddtrp0(xb, xa, xq), file('/export/starexec/sandbox/benchmark/theBenchmark.p', m__)).
% 3.97/4.47 fof(mIntZero, axiom, aInteger0(sz00), file('/export/starexec/sandbox/benchmark/theBenchmark.p', mIntZero)).
% 3.97/4.47 fof(mIntNeg, axiom, ! [_64605] : (aInteger0(_64605) => aInteger0(smndt0(_64605))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', mIntNeg)).
% 3.97/4.47 fof(mIntPlus, axiom, ! [_64735, _64738] : (aInteger0(_64735) & aInteger0(_64738) => aInteger0(sdtpldt0(_64735, _64738))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', mIntPlus)).
% 3.97/4.47 fof(mIntMult, axiom, ! [_64904, _64907] : (aInteger0(_64904) & aInteger0(_64907) => aInteger0(sdtasdt0(_64904, _64907))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', mIntMult)).
% 3.97/4.47 fof(mAddZero, axiom, ! [_65075] : (aInteger0(_65075) => sdtpldt0(_65075, sz00) = _65075 & _65075 = sdtpldt0(sz00, _65075)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', mAddZero)).
% 3.97/4.47 fof(mAddNeg, axiom, ! [_65256] : (aInteger0(_65256) => sdtpldt0(_65256, smndt0(_65256)) = sz00 & sz00 = sdtpldt0(smndt0(_65256), _65256)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', mAddNeg)).
% 3.97/4.47 fof(mMulZero, axiom, ! [_65461] : (aInteger0(_65461) => sdtasdt0(_65461, sz00) = sz00 & sz00 = sdtasdt0(sz00, _65461)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', mMulZero)).
% 3.97/4.47 fof(mZeroDiv, axiom, ! [_65644, _65647] : (aInteger0(_65644) & aInteger0(_65647) => sdtasdt0(_65644, _65647) = sz00 => _65644 = sz00 | _65647 = sz00), file('/export/starexec/sandbox/benchmark/theBenchmark.p', mZeroDiv)).
% 3.97/4.47 fof(mDivisor, definition, ! [_65864] : (aInteger0(_65864) => ! [_65879] : (aDivisorOf0(_65879, _65864) <=> aInteger0(_65879) & (! _65879) = sz00 & ? [_65912] : (aInteger0(_65912) & sdtasdt0(_65879, _65912) = _65864))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', mDivisor)).
% 3.97/4.47 fof(m__704, hypothesis, aInteger0(xa) & aInteger0(xb) & aInteger0(xq) & (! xq) = sz00, file('/export/starexec/sandbox/benchmark/theBenchmark.p', m__704)).
% 3.97/4.47 fof(m__724, hypothesis, ? [_66298] : (aInteger0(_66298) & sdtasdt0(xq, _66298) = sdtpldt0(xa, smndt0(xb))) & aDivisorOf0(xq, sdtpldt0(xa, smndt0(xb))) & sdteqdtlpzmzozddtrp0(xa, xb, xq), file('/export/starexec/sandbox/benchmark/theBenchmark.p', m__724)).
% 3.97/4.47 fof(m__747, hypothesis, aInteger0(xn) & sdtasdt0(xq, xn) = sdtpldt0(xa, smndt0(xb)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', m__747)).
% 3.97/4.47 fof(m__767, hypothesis, sdtasdt0(xq, smndt0(xn)) = sdtpldt0(xb, smndt0(xa)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', m__767)).
% 3.97/4.47 fof(mEquModRef, axiom, ! [_66692, _66695] : (aInteger0(_66692) & aInteger0(_66695) & (! _66695) = sz00 => sdteqdtlpzmzozddtrp0(_66692, _66692, _66695)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', mEquModRef)).
% 3.97/4.47 fof(mEquMod, definition, ! [_66890, _66893, _66896] : (aInteger0(_66890) & aInteger0(_66893) & aInteger0(_66896) & (! _66896) = sz00 => (sdteqdtlpzmzozddtrp0(_66890, _66893, _66896) <=> aDivisorOf0(_66896, sdtpldt0(_66890, smndt0(_66893))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', mEquMod)).
% 3.97/4.47
% 3.97/4.47 cnf(1, plain, [aInteger0(_29151), sdtasdt0(xq, _29151) = sdtpldt0(xb, smndt0(xa))], clausify(m__)).
% 3.97/4.47 cnf(2, plain, [-(sdtasdt0(_16461, _16594) = sdtasdt0(_16528, _16659)), _16461 = _16528, _16594 = _16659], theory(equality)).
% 3.97/4.47 cnf(3, plain, [_17699 = _17748, -(smndt0(_17699) = smndt0(_17748))], theory(equality)).
% 3.97/4.47 cnf(4, plain, [-(sdtpldt0(_17085, _17218) = sdtpldt0(_17152, _17283)), _17085 = _17152, _17218 = _17283], theory(equality)).
% 3.97/4.47 cnf(5, plain, [-(_13540 = _13540)], theory(equality)).
% 3.97/4.47 cnf(6, plain, [_13693 = _13738, -(_13738 = _13693)], theory(equality)).
% 3.97/4.47 cnf(7, plain, [-(_13972 = _14083), _13972 = _14028, _14028 = _14083], theory(equality)).
% 3.97/4.47 cnf(8, plain, [-(aDivisorOf0(_14515, _14646)), aDivisorOf0(_14448, _14581), _14448 = _14515, _14581 = _14646], theory(equality)).
% 3.97/4.47 cnf(9, plain, [-(aInteger0(_15121)), _15072 = _15121, aInteger0(_15072)], theory(equality)).
% 3.97/4.47 cnf(10, plain, [-(aInteger0(sz00))], clausify(mIntZero)).
% 3.97/4.47 cnf(11, plain, [aInteger0(_18547), -(aInteger0(smndt0(_18547)))], clausify(mIntNeg)).
% 3.97/4.47 cnf(12, plain, [-(aInteger0(sdtpldt0(_18775, _18826))), aInteger0(_18775), aInteger0(_18826)], clausify(mIntPlus)).
% 3.97/4.47 cnf(13, plain, [-(aInteger0(sdtasdt0(_19145, _19196))), aInteger0(_19145), aInteger0(_19196)], clausify(mIntMult)).
% 3.97/4.47 cnf(14, plain, [aInteger0(_20622), -(sdtpldt0(_20622, sz00) = _20622)], clausify(mAddZero)).
% 3.97/4.47 cnf(15, plain, [aInteger0(_21014), -(sdtpldt0(_21014, smndt0(_21014)) = sz00)], clausify(mAddNeg)).
% 3.97/4.47 cnf(16, plain, [aInteger0(_23980), -(sdtasdt0(_23980, sz00) = sz00)], clausify(mMulZero)).
% 3.97/4.47 cnf(17, plain, [aInteger0(_24896), aInteger0(_24832), sdtasdt0(_24832, _24896) = sz00, -(_24832 = sz00), -(_24896 = sz00)], clausify(mZeroDiv)).
% 3.97/4.47 cnf(18, plain, [aInteger0(_25397), aDivisorOf0(_25511, _25397), -(aInteger0(_25511))], clausify(mDivisor)).
% 3.97/4.47 cnf(19, plain, [aInteger0(_25397), aDivisorOf0(_25511, _25397), _25511 = sz00], clausify(mDivisor)).
% 3.97/4.47 cnf(20, plain, [aInteger0(_25397), -(aDivisorOf0(_25511, _25397)), aInteger0(_25511), -(_25511 = sz00), aInteger0(_25754), sdtasdt0(_25511, _25754) = _25397], clausify(mDivisor)).
% 3.97/4.47 cnf(21, plain, [-(aInteger0(xa))], clausify(m__704)).
% 3.97/4.47 cnf(22, plain, [-(aInteger0(xb))], clausify(m__704)).
% 3.97/4.47 cnf(23, plain, [-(aInteger0(xq))], clausify(m__704)).
% 3.97/4.47 cnf(24, plain, [xq = sz00], clausify(m__704)).
% 3.97/4.47 cnf(25, plain, [-(aDivisorOf0(xq, sdtpldt0(xa, smndt0(xb))))], clausify(m__724)).
% 3.97/4.47 cnf(26, plain, [-(aInteger0(xn))], clausify(m__747)).
% 3.97/4.47 cnf(27, plain, [-(sdtasdt0(xq, smndt0(xn)) = sdtpldt0(xb, smndt0(xa)))], clausify(m__767)).
% 3.97/4.47 cnf(28, plain, [-(sdteqdtlpzmzozddtrp0(_26912, _26912, _26970)), aInteger0(_26912), aInteger0(_26970), -(_26970 = sz00)], clausify(mEquModRef)).
% 3.97/4.47 cnf(29, plain, [-(_26265 = sz00), aInteger0(_26265), aInteger0(_26187), aInteger0(_26108), sdteqdtlpzmzozddtrp0(_26108, _26187, _26265), -(aDivisorOf0(_26265, sdtpldt0(_26108, smndt0(_26187))))], clausify(mEquMod)).
% 3.97/4.47
% 3.97/4.47 cnf('1',plain,[aInteger0(sz00), aDivisorOf0(xq, sz00), xq = sz00],start(19,bind([[_25397, _25511], [sz00, xq]]))).
% 3.97/4.47 cnf('1.1',plain,[-(aInteger0(sz00))],extension(10)).
% 3.97/4.47 cnf('1.2',plain,[-(aDivisorOf0(xq, sz00)), aDivisorOf0(xq, sdtpldt0(xa, smndt0(xb))), xq = xq, sdtpldt0(xa, smndt0(xb)) = sz00],extension(8,bind([[_14448, _14515, _14581, _14646], [xq, xq, sdtpldt0(xa, smndt0(xb)), sz00]]))).
% 3.97/4.47 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(8,bind([[_14448, _14515, _14581, _14646], [xq, xq, sdtpldt0(xa, smndt0(xb)), sdtpldt0(xa, smndt0(xb))]]))).
% 3.97/4.47 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(8,bind([[_14448, _14515, _14581, _14646], [xq, xq, sdtpldt0(xa, smndt0(xb)), sdtpldt0(xa, smndt0(xb))]]))).
% 3.97/4.47 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(8,bind([[_14448, _14515, _14581, _14646], [xq, xq, sdtpldt0(xa, smndt0(xb)), sdtpldt0(xa, smndt0(xb))]]))).
% 3.97/4.47 cnf('1.2.1.1.1.1',plain,[-(aDivisorOf0(xq, sdtpldt0(xa, smndt0(xb)))), aDivisorOf0(xq, sdtpldt0(xa, smndt0(xb))), xq = xq, sdtpldt0(xa, smndt0(xb)) = sdtpldt0(xa, smndt0(xb))],extension(8,bind([[_14448, _14515, _14581, _14646], [xq, xq, sdtpldt0(xa, smndt0(xb)), sdtpldt0(xa, smndt0(xb))]]))).
% 3.97/4.47 cnf('1.2.1.1.1.1.1',plain,[-(aDivisorOf0(xq, sdtpldt0(xa, smndt0(xb))))],extension(25)).
% 3.97/4.47 cnf('1.2.1.1.1.1.2',plain,[-(xq = xq)],extension(5,bind([[_13540], [xq]]))).
% 3.97/4.47 cnf('1.2.1.1.1.1.3',plain,[-(sdtpldt0(xa, smndt0(xb)) = sdtpldt0(xa, smndt0(xb)))],extension(5,bind([[_13540], [sdtpldt0(xa, smndt0(xb))]]))).
% 3.97/4.47 cnf('1.2.1.1.1.2',plain,[-(xq = xq)],extension(5,bind([[_13540], [xq]]))).
% 3.97/4.47 cnf('1.2.1.1.1.3',plain,[-(sdtpldt0(xa, smndt0(xb)) = sdtpldt0(xa, smndt0(xb))), xa = xa, smndt0(xb) = smndt0(xb)],extension(4,bind([[_17085, _17152, _17218, _17283], [xa, xa, smndt0(xb), smndt0(xb)]]))).
% 3.97/4.47 cnf('1.2.1.1.1.3.1',plain,[-(xa = xa)],extension(5,bind([[_13540], [xa]]))).
% 3.97/4.47 cnf('1.2.1.1.1.3.2',plain,[-(smndt0(xb) = smndt0(xb))],extension(5,bind([[_13540], [smndt0(xb)]]))).
% 3.97/4.47 cnf('1.2.1.1.2',plain,[-(xq = xq)],extension(5,bind([[_13540], [xq]]))).
% 3.97/4.47 cnf('1.2.1.1.3',plain,[-(sdtpldt0(xa, smndt0(xb)) = sdtpldt0(xa, smndt0(xb))), xa = xa, smndt0(xb) = smndt0(xb)],extension(4,bind([[_17085, _17152, _17218, _17283], [xa, xa, smndt0(xb), smndt0(xb)]]))).
% 3.97/4.47 cnf('1.2.1.1.3.1',plain,[-(xa = xa)],extension(5,bind([[_13540], [xa]]))).
% 3.97/4.47 cnf('1.2.1.1.3.2',plain,[-(smndt0(xb) = smndt0(xb)), xb = xb],extension(3,bind([[_17699, _17748], [xb, xb]]))).
% 3.97/4.47 cnf('1.2.1.1.3.2.1',plain,[-(xb = xb)],extension(5,bind([[_13540], [xb]]))).
% 3.97/4.47 cnf('1.2.1.2',plain,[-(xq = xq)],extension(5,bind([[_13540], [xq]]))).
% 3.97/4.47 cnf('1.2.1.3',plain,[-(sdtpldt0(xa, smndt0(xb)) = sdtpldt0(xa, smndt0(xb))), xa = xa, smndt0(xb) = smndt0(xb)],extension(4,bind([[_17085, _17152, _17218, _17283], [xa, xa, smndt0(xb), smndt0(xb)]]))).
% 3.97/4.47 cnf('1.2.1.3.1',plain,[-(xa = xa)],extension(5,bind([[_13540], [xa]]))).
% 3.97/4.47 cnf('1.2.1.3.2',plain,[-(smndt0(xb) = smndt0(xb)), xb = xb],extension(3,bind([[_17699, _17748], [xb, xb]]))).
% 3.97/4.47 cnf('1.2.1.3.2.1',plain,[-(xb = xb)],extension(5,bind([[_13540], [xb]]))).
% 3.97/4.47 cnf('1.2.2',plain,[-(xq = xq)],extension(5,bind([[_13540], [xq]]))).
% 3.97/4.47 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(17,bind([[_24832, _24896], [sdtpldt0(xa, smndt0(xb)), sz00]]))).
% 3.97/4.47 cnf('1.2.3.1',plain,[-(aInteger0(sz00))],extension(10)).
% 3.97/4.47 cnf('1.2.3.2',plain,[-(aInteger0(sdtpldt0(xa, smndt0(xb)))), aInteger0(xa), aInteger0(smndt0(xb))],extension(12,bind([[_18775, _18826], [xa, smndt0(xb)]]))).
% 3.97/4.47 cnf('1.2.3.2.1',plain,[-(aInteger0(xa))],extension(21)).
% 3.97/4.47 cnf('1.2.3.2.2',plain,[-(aInteger0(smndt0(xb))), aInteger0(xb)],extension(11,bind([[_18547], [xb]]))).
% 3.97/4.47 cnf('1.2.3.2.2.1',plain,[-(aInteger0(xb))],extension(22)).
% 3.97/4.47 cnf('1.2.3.3',plain,[-(sdtasdt0(sdtpldt0(xa, smndt0(xb)), sz00) = sz00), aInteger0(sdtpldt0(xa, smndt0(xb)))],extension(16,bind([[_23980], [sdtpldt0(xa, smndt0(xb))]]))).
% 3.97/4.47 cnf('1.2.3.3.1',plain,[-(aInteger0(sdtpldt0(xa, smndt0(xb))))],lemmata('1.2.3')).
% 3.97/4.47 cnf('1.2.3.4',plain,[sz00 = sz00, -(sdtasdt0(xq, sz00) = sdtasdt0(sz00, sz00)), xq = sz00],extension(2,bind([[_16594, _16659, _16461, _16528], [sz00, sz00, xq, sz00]]))).
% 3.97/4.47 cnf('1.2.3.4.1',plain,[sdtasdt0(xq, sz00) = sdtasdt0(sz00, sz00), -(aDivisorOf0(sdtasdt0(sz00, sz00), sz00)), aDivisorOf0(sdtasdt0(xq, sz00), sdtpldt0(sdtasdt0(sz00, sz00), smndt0(sdtasdt0(sz00, sz00)))), sdtpldt0(sdtasdt0(sz00, sz00), smndt0(sdtasdt0(sz00, sz00))) = sz00],extension(8,bind([[_14515, _14448, _14581, _14646], [sdtasdt0(sz00, sz00), sdtasdt0(xq, sz00), sdtpldt0(sdtasdt0(sz00, sz00), smndt0(sdtasdt0(sz00, sz00))), sz00]]))).
% 3.97/4.47 cnf('1.2.3.4.1.1',plain,[aDivisorOf0(sdtasdt0(sz00, sz00), sz00), aInteger0(sz00), sdtasdt0(sz00, sz00) = sz00],extension(19,bind([[_25397, _25511], [sz00, sdtasdt0(sz00, sz00)]]))).
% 3.97/4.47 cnf('1.2.3.4.1.1.1',plain,[-(aInteger0(sz00))],extension(10)).
% 3.97/4.47 cnf('1.2.3.4.1.1.2',plain,[-(sdtasdt0(sz00, sz00) = sz00), aInteger0(sz00)],extension(16,bind([[_23980], [sz00]]))).
% 3.97/4.47 cnf('1.2.3.4.1.1.2.1',plain,[-(aInteger0(sz00))],extension(10)).
% 3.97/4.47 cnf('1.2.3.4.1.2',plain,[-(aDivisorOf0(sdtasdt0(xq, sz00), sdtpldt0(sdtasdt0(sz00, sz00), smndt0(sdtasdt0(sz00, sz00))))), -(sdtasdt0(xq, sz00) = sz00), aInteger0(sdtasdt0(xq, sz00)), aInteger0(sdtasdt0(sz00, sz00)), aInteger0(sdtasdt0(sz00, sz00)), sdteqdtlpzmzozddtrp0(sdtasdt0(sz00, sz00), sdtasdt0(sz00, sz00), sdtasdt0(xq, sz00))],extension(29,bind([[_26108, _26187, _26265], [sdtasdt0(sz00, sz00), sdtasdt0(sz00, sz00), sdtasdt0(xq, sz00)]]))).
% 3.97/4.47 cnf('1.2.3.4.1.2.1',plain,[sdtasdt0(xq, sz00) = sz00, aInteger0(sz00), -(aDivisorOf0(xq, sz00)), aInteger0(xq), -(xq = sz00), aInteger0(sz00)],extension(20,bind([[_25397, _25511, _25754], [sz00, xq, sz00]]))).
% 3.97/4.47 cnf('1.2.3.4.1.2.1.1',plain,[-(aInteger0(sz00))],extension(10)).
% 3.97/4.47 cnf('1.2.3.4.1.2.1.2',plain,[aDivisorOf0(xq, sz00)],reduction('1')).
% 3.97/4.47 cnf('1.2.3.4.1.2.1.3',plain,[-(aInteger0(xq))],extension(23)).
% 3.97/4.47 cnf('1.2.3.4.1.2.1.4',plain,[xq = sz00],extension(24)).
% 3.97/4.47 cnf('1.2.3.4.1.2.1.5',plain,[-(aInteger0(sz00))],extension(10)).
% 3.97/4.47 cnf('1.2.3.4.1.2.2',plain,[-(aInteger0(sdtasdt0(xq, sz00))), aInteger0(xq), aInteger0(sz00)],extension(13,bind([[_19145, _19196], [xq, sz00]]))).
% 3.97/4.47 cnf('1.2.3.4.1.2.2.1',plain,[-(aInteger0(xq))],extension(23)).
% 3.97/4.47 cnf('1.2.3.4.1.2.2.2',plain,[-(aInteger0(sz00))],extension(10)).
% 3.97/4.47 cnf('1.2.3.4.1.2.3',plain,[-(aInteger0(sdtasdt0(sz00, sz00))), sdtasdt0(xq, sz00) = sdtasdt0(sz00, sz00), aInteger0(sdtasdt0(xq, sz00))],extension(9,bind([[_15121, _15072], [sdtasdt0(sz00, sz00), sdtasdt0(xq, sz00)]]))).
% 3.97/4.47 cnf('1.2.3.4.1.2.3.1',plain,[-(sdtasdt0(xq, sz00) = sdtasdt0(sz00, sz00))],reduction('1.2.3.4')).
% 3.97/4.47 cnf('1.2.3.4.1.2.3.2',plain,[-(aInteger0(sdtasdt0(xq, sz00)))],lemmata('1.2.3.4.1.2')).
% 3.97/4.47 cnf('1.2.3.4.1.2.4',plain,[-(aInteger0(sdtasdt0(sz00, sz00))), sdtasdt0(xq, sz00) = sdtasdt0(sz00, sz00), aInteger0(sdtasdt0(xq, sz00))],extension(9,bind([[_15121, _15072], [sdtasdt0(sz00, sz00), sdtasdt0(xq, sz00)]]))).
% 3.97/4.47 cnf('1.2.3.4.1.2.4.1',plain,[-(sdtasdt0(xq, sz00) = sdtasdt0(sz00, sz00))],reduction('1.2.3.4')).
% 3.97/4.47 cnf('1.2.3.4.1.2.4.2',plain,[-(aInteger0(sdtasdt0(xq, sz00)))],lemmata('1.2.3.4.1.2')).
% 3.97/4.47 cnf('1.2.3.4.1.2.5',plain,[-(sdteqdtlpzmzozddtrp0(sdtasdt0(sz00, sz00), sdtasdt0(sz00, sz00), sdtasdt0(xq, sz00))), aInteger0(sdtasdt0(sz00, sz00)), aInteger0(sdtasdt0(xq, sz00)), -(sdtasdt0(xq, sz00) = sz00)],extension(28,bind([[_26912, _26970], [sdtasdt0(sz00, sz00), sdtasdt0(xq, sz00)]]))).
% 3.97/4.47 cnf('1.2.3.4.1.2.5.1',plain,[-(aInteger0(sdtasdt0(sz00, sz00)))],lemmata('1.2.3.4.1.2')).
% 3.97/4.47 cnf('1.2.3.4.1.2.5.2',plain,[-(aInteger0(sdtasdt0(xq, sz00)))],lemmata('1.2.3.4.1.2')).
% 3.97/4.47 cnf('1.2.3.4.1.2.5.3',plain,[sdtasdt0(xq, sz00) = sz00],lemmata('1.2.3.4.1.2')).
% 3.97/4.47 cnf('1.2.3.4.1.3',plain,[-(sdtpldt0(sdtasdt0(sz00, sz00), smndt0(sdtasdt0(sz00, sz00))) = sz00), aInteger0(sdtasdt0(sz00, sz00))],extension(15,bind([[_21014], [sdtasdt0(sz00, sz00)]]))).
% 3.97/4.47 cnf('1.2.3.4.1.3.1',plain,[-(aInteger0(sdtasdt0(sz00, sz00))), aInteger0(sz00), aInteger0(sz00)],extension(13,bind([[_19145, _19196], [sz00, sz00]]))).
% 3.97/4.47 cnf('1.2.3.4.1.3.1.1',plain,[-(aInteger0(sz00))],extension(10)).
% 3.97/4.47 cnf('1.2.3.4.1.3.1.2',plain,[-(aInteger0(sz00))],extension(10)).
% 3.97/4.47 cnf('1.2.3.4.2',plain,[-(xq = sz00), aInteger0(sz00), -(aDivisorOf0(xq, sz00)), aInteger0(xq), aInteger0(sz00), sdtasdt0(xq, sz00) = sz00],extension(20,bind([[_25511, _25754, _25397], [xq, sz00, sz00]]))).
% 3.97/4.47 cnf('1.2.3.4.2.1',plain,[-(aInteger0(sz00))],extension(10)).
% 3.97/4.47 cnf('1.2.3.4.2.2',plain,[aDivisorOf0(xq, sz00)],reduction('1')).
% 3.97/4.47 cnf('1.2.3.4.2.3',plain,[-(aInteger0(xq))],extension(23)).
% 3.97/4.47 cnf('1.2.3.4.2.4',plain,[-(aInteger0(sz00))],extension(10)).
% 3.97/4.47 cnf('1.2.3.4.2.5',plain,[-(sdtasdt0(xq, sz00) = sz00), aInteger0(xq)],extension(16,bind([[_23980], [xq]]))).
% 3.97/4.47 cnf('1.2.3.4.2.5.1',plain,[-(aInteger0(xq))],extension(23)).
% 3.97/4.47 cnf('1.3',plain,[-(xq = sz00), aInteger0(sz00), aInteger0(xq), sdtasdt0(xq, sz00) = sz00, -(sz00 = sz00)],extension(17,bind([[_24832, _24896], [xq, sz00]]))).
% 3.97/4.47 cnf('1.3.1',plain,[-(aInteger0(sz00))],extension(10)).
% 3.97/4.47 cnf('1.3.2',plain,[-(aInteger0(xq)), aInteger0(sz00), aDivisorOf0(xq, sz00)],extension(18,bind([[_25511, _25397], [xq, sz00]]))).
% 3.97/4.47 cnf('1.3.2.1',plain,[-(aInteger0(sz00))],extension(10)).
% 3.97/4.47 cnf('1.3.2.2',plain,[-(aDivisorOf0(xq, sz00))],lemmata('1')).
% 3.97/4.47 cnf('1.3.3',plain,[-(sdtasdt0(xq, sz00) = sz00), aInteger0(xq)],extension(16,bind([[_23980], [xq]]))).
% 3.97/4.47 cnf('1.3.3.1',plain,[-(aInteger0(xq))],extension(23)).
% 3.97/4.47 cnf('1.3.4',plain,[sz00 = sz00, -(sdtpldt0(smndt0(xn), sz00) = sdtpldt0(sz00, sz00)), smndt0(xn) = sz00],extension(4,bind([[_17218, _17283, _17085, _17152], [sz00, sz00, smndt0(xn), sz00]]))).
% 3.97/4.47 cnf('1.3.4.1',plain,[sdtpldt0(smndt0(xn), sz00) = sdtpldt0(sz00, sz00), -(sdtpldt0(sz00, sz00) = sdtpldt0(smndt0(xn), sz00))],extension(6,bind([[_13738, _13693], [sdtpldt0(sz00, sz00), sdtpldt0(smndt0(xn), sz00)]]))).
% 3.97/4.47 cnf('1.3.4.1.1',plain,[sdtpldt0(sz00, sz00) = sdtpldt0(smndt0(xn), sz00), -(sdtpldt0(sz00, sz00) = smndt0(xn)), sdtpldt0(smndt0(xn), sz00) = smndt0(xn)],extension(7,bind([[_13972, _14028, _14083], [sdtpldt0(sz00, sz00), sdtpldt0(smndt0(xn), sz00), smndt0(xn)]]))).
% 3.97/4.47 cnf('1.3.4.1.1.1',plain,[sdtpldt0(sz00, sz00) = smndt0(xn), -(aInteger0(smndt0(xn))), aInteger0(sdtpldt0(sz00, sz00))],extension(9,bind([[_15121, _15072], [smndt0(xn), sdtpldt0(sz00, sz00)]]))).
% 3.97/4.47 cnf('1.3.4.1.1.1.1',plain,[aInteger0(smndt0(xn)), sdtasdt0(xq, smndt0(xn)) = sdtpldt0(xb, smndt0(xa))],extension(1,bind([[_29151], [smndt0(xn)]]))).
% 3.97/4.47 cnf('1.3.4.1.1.1.1.1',plain,[-(sdtasdt0(xq, smndt0(xn)) = sdtpldt0(xb, smndt0(xa)))],extension(27)).
% 3.97/4.47 cnf('1.3.4.1.1.1.2',plain,[-(aInteger0(sdtpldt0(sz00, sz00))), aInteger0(sz00), aInteger0(sz00)],extension(12,bind([[_18775, _18826], [sz00, sz00]]))).
% 3.97/4.47 cnf('1.3.4.1.1.1.2.1',plain,[-(aInteger0(sz00))],extension(10)).
% 3.97/4.47 cnf('1.3.4.1.1.1.2.2',plain,[-(aInteger0(sz00))],extension(10)).
% 3.97/4.47 cnf('1.3.4.1.1.2',plain,[-(sdtpldt0(smndt0(xn), sz00) = smndt0(xn)), aInteger0(smndt0(xn))],extension(14,bind([[_20622], [smndt0(xn)]]))).
% 3.97/4.47 cnf('1.3.4.1.1.2.1',plain,[-(aInteger0(smndt0(xn))), aInteger0(xn)],extension(11,bind([[_18547], [xn]]))).
% 3.97/4.47 cnf('1.3.4.1.1.2.1.1',plain,[-(aInteger0(xn))],extension(26)).
% 3.97/4.47 cnf('1.3.4.2',plain,[-(smndt0(xn) = sz00), aInteger0(sz00), -(aDivisorOf0(smndt0(xn), sz00)), aInteger0(smndt0(xn)), aInteger0(sz00), sdtasdt0(smndt0(xn), sz00) = sz00],extension(20,bind([[_25511, _25754, _25397], [smndt0(xn), sz00, sz00]]))).
% 3.97/4.47 cnf('1.3.4.2.1',plain,[-(aInteger0(sz00))],extension(10)).
% 3.97/4.47 cnf('1.3.4.2.2',plain,[aDivisorOf0(smndt0(xn), sz00), aInteger0(sz00), -(aInteger0(smndt0(xn)))],extension(18,bind([[_25397, _25511], [sz00, smndt0(xn)]]))).
% 3.97/4.47 cnf('1.3.4.2.2.1',plain,[-(aInteger0(sz00))],extension(10)).
% 3.97/4.47 cnf('1.3.4.2.2.2',plain,[aInteger0(smndt0(xn)), sdtasdt0(xq, smndt0(xn)) = sdtpldt0(xb, smndt0(xa))],extension(1,bind([[_29151], [smndt0(xn)]]))).
% 3.97/4.47 cnf('1.3.4.2.2.2.1',plain,[-(sdtasdt0(xq, smndt0(xn)) = sdtpldt0(xb, smndt0(xa)))],extension(27)).
% 3.97/4.47 cnf('1.3.4.2.3',plain,[-(aInteger0(smndt0(xn))), aInteger0(xn)],extension(11,bind([[_18547], [xn]]))).
% 3.97/4.47 cnf('1.3.4.2.3.1',plain,[-(aInteger0(xn))],extension(26)).
% 3.97/4.47 cnf('1.3.4.2.4',plain,[-(aInteger0(sz00))],extension(10)).
% 3.97/4.47 cnf('1.3.4.2.5',plain,[-(sdtasdt0(smndt0(xn), sz00) = sz00), aInteger0(smndt0(xn))],extension(16,bind([[_23980], [smndt0(xn)]]))).
% 3.97/4.47 cnf('1.3.4.2.5.1',plain,[-(aInteger0(smndt0(xn)))],lemmata('1.3.4.2')).
% 3.97/4.47 %-----------------------------------------------------
% 3.97/4.47
% 3.97/4.47 % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------