TSTP Solution File: NUM472+2 by leanCoP---2.2
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- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : NUM472+2 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n008.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 11:41:09 EDT 2022
% Result : Theorem 24.48s 24.15s
% Output : Proof 24.48s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : NUM472+2 : TPTP v8.1.0. Released v4.0.0.
% 0.06/0.12 % Command : leancop_casc.sh %s %d
% 0.12/0.33 % Computer : n008.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Thu Jul 7 16:11:38 EDT 2022
% 0.12/0.33 % CPUTime :
% 24.48/24.15 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 24.48/24.16 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 24.48/24.16
% 24.48/24.16 %-----------------------------------------------------
% 24.48/24.16 fof(m__, conjecture, ? [_73094] : (aNaturalNumber0(_73094) & sdtpldt0(xm, _73094) = sdtpldt0(xm, xn)) | sdtlseqdt0(xm, sdtpldt0(xm, xn)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', m__)).
% 24.48/24.16 fof(mSortsB, axiom, ! [_73341, _73344] : (aNaturalNumber0(_73341) & aNaturalNumber0(_73344) => aNaturalNumber0(sdtpldt0(_73341, _73344))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', mSortsB)).
% 24.48/24.16 fof(mAddCanc, axiom, ! [_73524, _73527, _73530] : (aNaturalNumber0(_73524) & aNaturalNumber0(_73527) & aNaturalNumber0(_73530) => sdtpldt0(_73524, _73527) = sdtpldt0(_73524, _73530) | sdtpldt0(_73527, _73524) = sdtpldt0(_73530, _73524) => _73527 = _73530), file('/export/starexec/sandbox/benchmark/theBenchmark.p', mAddCanc)).
% 24.48/24.16 fof(mDefLE, definition, ! [_73829, _73832] : (aNaturalNumber0(_73829) & aNaturalNumber0(_73832) => (sdtlseqdt0(_73829, _73832) <=> ? [_73864] : (aNaturalNumber0(_73864) & sdtpldt0(_73829, _73864) = _73832))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', mDefLE)).
% 24.48/24.16 fof(mLETotal, axiom, ! [_74100, _74103] : (aNaturalNumber0(_74100) & aNaturalNumber0(_74103) => sdtlseqdt0(_74100, _74103) | (! _74103) = _74100 & sdtlseqdt0(_74103, _74100)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', mLETotal)).
% 24.48/24.16 fof(m__1324, hypothesis, aNaturalNumber0(xl) & aNaturalNumber0(xm) & aNaturalNumber0(xn), file('/export/starexec/sandbox/benchmark/theBenchmark.p', m__1324)).
% 24.48/24.16
% 24.48/24.16 cnf(1, plain, [sdtlseqdt0(xm, sdtpldt0(xm, xn))], clausify(m__)).
% 24.48/24.16 cnf(2, plain, [aNaturalNumber0(_50590), sdtpldt0(xm, _50590) = sdtpldt0(xm, xn)], clausify(m__)).
% 24.48/24.16 cnf(3, plain, [_23010 = _23055, -(_23055 = _23010)], theory(equality)).
% 24.48/24.16 cnf(4, plain, [-(_23289 = _23400), _23289 = _23345, _23345 = _23400], theory(equality)).
% 24.48/24.16 cnf(5, plain, [-(aNaturalNumber0(sdtpldt0(_29126, _29177))), aNaturalNumber0(_29126), aNaturalNumber0(_29177)], clausify(mSortsB)).
% 24.48/24.16 cnf(6, plain, [-(_34378 = _34460), sdtpldt0(_34378, _34295) = sdtpldt0(_34460, _34295), aNaturalNumber0(_34295), aNaturalNumber0(_34378), aNaturalNumber0(_34460)], clausify(mAddCanc)).
% 24.48/24.16 cnf(7, plain, [aNaturalNumber0(_37291), aNaturalNumber0(_37223), sdtlseqdt0(_37223, _37291), -(aNaturalNumber0(1 ^ [_37291, _37223]))], clausify(mDefLE)).
% 24.48/24.16 cnf(8, plain, [aNaturalNumber0(_37291), aNaturalNumber0(_37223), sdtlseqdt0(_37223, _37291), -(sdtpldt0(_37223, 1 ^ [_37291, _37223]) = _37291)], clausify(mDefLE)).
% 24.48/24.16 cnf(9, plain, [aNaturalNumber0(_40068), aNaturalNumber0(_40005), -(sdtlseqdt0(_40005, _40068)), -(sdtlseqdt0(_40068, _40005))], clausify(mLETotal)).
% 24.48/24.16 cnf(10, plain, [-(aNaturalNumber0(xm))], clausify(m__1324)).
% 24.48/24.16 cnf(11, plain, [-(aNaturalNumber0(xn))], clausify(m__1324)).
% 24.48/24.16
% 24.48/24.16 cnf('1',plain,[sdtlseqdt0(xm, sdtpldt0(xm, xn))],start(1)).
% 24.48/24.16 cnf('1.1',plain,[-(sdtlseqdt0(xm, sdtpldt0(xm, xn))), aNaturalNumber0(sdtpldt0(xm, xn)), aNaturalNumber0(xm), -(sdtlseqdt0(sdtpldt0(xm, xn), xm))],extension(9,bind([[_40068, _40005], [sdtpldt0(xm, xn), xm]]))).
% 24.48/24.16 cnf('1.1.1',plain,[-(aNaturalNumber0(sdtpldt0(xm, xn))), aNaturalNumber0(xm), aNaturalNumber0(xn)],extension(5,bind([[_29126, _29177], [xm, xn]]))).
% 24.48/24.16 cnf('1.1.1.1',plain,[-(aNaturalNumber0(xm))],extension(10)).
% 24.48/24.16 cnf('1.1.1.2',plain,[-(aNaturalNumber0(xn))],extension(11)).
% 24.48/24.16 cnf('1.1.2',plain,[-(aNaturalNumber0(xm))],extension(10)).
% 24.48/24.16 cnf('1.1.3',plain,[sdtlseqdt0(sdtpldt0(xm, xn), xm), aNaturalNumber0(xm), aNaturalNumber0(sdtpldt0(xm, xn)), -(sdtpldt0(sdtpldt0(xm, xn), 1 ^ [xm, sdtpldt0(xm, xn)]) = xm)],extension(8,bind([[_37223, _37291], [sdtpldt0(xm, xn), xm]]))).
% 24.48/24.16 cnf('1.1.3.1',plain,[-(aNaturalNumber0(xm))],extension(10)).
% 24.48/24.16 cnf('1.1.3.2',plain,[-(aNaturalNumber0(sdtpldt0(xm, xn)))],lemmata('1.1')).
% 24.48/24.16 cnf('1.1.3.3',plain,[sdtpldt0(sdtpldt0(xm, xn), 1 ^ [xm, sdtpldt0(xm, xn)]) = xm, -(sdtpldt0(sdtpldt0(xm, xn), 1 ^ [xm, sdtpldt0(xm, xn)]) = sdtpldt0(sdtpldt0(xm, xn), 1 ^ [xm, sdtpldt0(xm, xn)])), xm = sdtpldt0(sdtpldt0(xm, xn), 1 ^ [xm, sdtpldt0(xm, xn)])],extension(4,bind([[_23289, _23345, _23400], [sdtpldt0(sdtpldt0(xm, xn), 1 ^ [xm, sdtpldt0(xm, xn)]), xm, sdtpldt0(sdtpldt0(xm, xn), 1 ^ [xm, sdtpldt0(xm, xn)])]]))).
% 24.48/24.16 cnf('1.1.3.3.1',plain,[sdtpldt0(sdtpldt0(xm, xn), 1 ^ [xm, sdtpldt0(xm, xn)]) = sdtpldt0(sdtpldt0(xm, xn), 1 ^ [xm, sdtpldt0(xm, xn)]), -(sdtpldt0(xm, xn) = sdtpldt0(xm, xn)), aNaturalNumber0(1 ^ [xm, sdtpldt0(xm, xn)]), aNaturalNumber0(sdtpldt0(xm, xn)), aNaturalNumber0(sdtpldt0(xm, xn))],extension(6,bind([[_34295, _34378, _34460], [1 ^ [xm, sdtpldt0(xm, xn)], sdtpldt0(xm, xn), sdtpldt0(xm, xn)]]))).
% 24.48/24.16 cnf('1.1.3.3.1.1',plain,[sdtpldt0(xm, xn) = sdtpldt0(xm, xn), aNaturalNumber0(xn)],extension(2,bind([[_50590], [xn]]))).
% 24.48/24.16 cnf('1.1.3.3.1.1.1',plain,[-(aNaturalNumber0(xn))],extension(11)).
% 24.48/24.16 cnf('1.1.3.3.1.2',plain,[-(aNaturalNumber0(1 ^ [xm, sdtpldt0(xm, xn)])), aNaturalNumber0(xm), aNaturalNumber0(sdtpldt0(xm, xn)), sdtlseqdt0(sdtpldt0(xm, xn), xm)],extension(7,bind([[_37223, _37291], [sdtpldt0(xm, xn), xm]]))).
% 24.48/24.16 cnf('1.1.3.3.1.2.1',plain,[-(aNaturalNumber0(xm))],extension(10)).
% 24.48/24.16 cnf('1.1.3.3.1.2.2',plain,[-(aNaturalNumber0(sdtpldt0(xm, xn)))],lemmata('1.1.3')).
% 24.48/24.16 cnf('1.1.3.3.1.2.3',plain,[-(sdtlseqdt0(sdtpldt0(xm, xn), xm))],reduction('1.1')).
% 24.48/24.16 cnf('1.1.3.3.1.3',plain,[-(aNaturalNumber0(sdtpldt0(xm, xn)))],lemmata('1.1.3')).
% 24.48/24.16 cnf('1.1.3.3.1.4',plain,[-(aNaturalNumber0(sdtpldt0(xm, xn)))],lemmata('1.1.3.3.1')).
% 24.48/24.16 cnf('1.1.3.3.2',plain,[-(xm = sdtpldt0(sdtpldt0(xm, xn), 1 ^ [xm, sdtpldt0(xm, xn)])), sdtpldt0(sdtpldt0(xm, xn), 1 ^ [xm, sdtpldt0(xm, xn)]) = xm],extension(3,bind([[_23010, _23055], [sdtpldt0(sdtpldt0(xm, xn), 1 ^ [xm, sdtpldt0(xm, xn)]), xm]]))).
% 24.48/24.16 cnf('1.1.3.3.2.1',plain,[-(sdtpldt0(sdtpldt0(xm, xn), 1 ^ [xm, sdtpldt0(xm, xn)]) = xm)],reduction('1.1.3')).
% 24.48/24.16 %-----------------------------------------------------
% 24.48/24.17
% 24.48/24.17 % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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