TSTP Solution File: RNG111+4 by leanCoP---2.2
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : RNG111+4 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n028.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 20:33:51 EDT 2022
% Result : Theorem 78.42s 76.09s
% Output : Proof 78.45s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : RNG111+4 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.13 % Command : leancop_casc.sh %s %d
% 0.12/0.33 % Computer : n028.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 : Mon May 30 10:05:49 EDT 2022
% 0.12/0.34 % CPUTime :
% 78.42/76.09 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 78.42/76.10 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 78.42/76.10
% 78.42/76.10 %-----------------------------------------------------
% 78.42/76.10 fof(m__, conjecture, ! [_137608] : (? [_137616, _137619] : (aElementOf0(_137616, slsdtgt0(xa)) & aElementOf0(_137619, slsdtgt0(xb)) & sdtpldt0(_137616, _137619) = _137608) & aElementOf0(_137608, xI) & (! _137608) = sz00 => ! [_137616] : ((? [_137619, _137695] : (aElementOf0(_137619, slsdtgt0(xa)) & aElementOf0(_137695, slsdtgt0(xb)) & sdtpldt0(_137619, _137695) = _137616) | aElementOf0(_137616, xI)) & (! _137616) = sz00 => iLess0(sbrdtbr0(_137616), sbrdtbr0(_137608)) => ? [_137619] : (? [_137695, _137789] : (aElementOf0(_137695, slsdtgt0(xa)) & aElementOf0(_137789, slsdtgt0(xb)) & sdtpldt0(_137695, _137789) = _137619) & aElementOf0(_137619, xI) & (! _137619) = sz00 & ! [_137695] : ((? [_137789, _137865] : (aElementOf0(_137789, slsdtgt0(xa)) & aElementOf0(_137865, slsdtgt0(xb)) & sdtpldt0(_137789, _137865) = _137695) | aElementOf0(_137695, xI)) & (! _137695) = sz00 => ~ iLess0(sbrdtbr0(_137695), sbrdtbr0(_137619))))) => ? [_137616] : ((? [_137619, _137695] : (aElementOf0(_137619, slsdtgt0(xa)) & aElementOf0(_137695, slsdtgt0(xb)) & sdtpldt0(_137619, _137695) = _137616) | aElementOf0(_137616, xI)) & (! _137616) = sz00 & ! [_137619] : (? [_137695, _137789] : (aElementOf0(_137695, slsdtgt0(xa)) & aElementOf0(_137789, slsdtgt0(xb)) & sdtpldt0(_137695, _137789) = _137619) & aElementOf0(_137619, xI) & (! _137619) = sz00 => ~ iLess0(sbrdtbr0(_137619), sbrdtbr0(_137616))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', m__)).
% 78.42/76.10
% 78.42/76.10 cnf(1, plain, [-(aElementOf0(37 ^ [], xI))], clausify(m__)).
% 78.42/76.10 cnf(2, plain, [37 ^ [] = sz00], clausify(m__)).
% 78.42/76.10 cnf(3, plain, [-(aElementOf0(44 ^ [_88402], slsdtgt0(xa))), -(_88402 = sz00), aElementOf0(_88402, xI)], clausify(m__)).
% 78.42/76.10 cnf(4, plain, [-(aElementOf0(45 ^ [_88402], slsdtgt0(xb))), -(_88402 = sz00), aElementOf0(_88402, xI)], clausify(m__)).
% 78.42/76.10 cnf(5, plain, [-(sdtpldt0(44 ^ [_88402], 45 ^ [_88402]) = 43 ^ [_88402]), -(_88402 = sz00), aElementOf0(_88402, xI)], clausify(m__)).
% 78.42/76.10 cnf(6, plain, [-(aElementOf0(43 ^ [_88402], xI)), -(_88402 = sz00), aElementOf0(_88402, xI)], clausify(m__)).
% 78.42/76.10 cnf(7, plain, [43 ^ [_88402] = sz00, -(_88402 = sz00), aElementOf0(_88402, xI)], clausify(m__)).
% 78.42/76.10 cnf(8, plain, [-(iLess0(sbrdtbr0(43 ^ [_88402]), sbrdtbr0(_88402))), -(_88402 = sz00), aElementOf0(_88402, xI)], clausify(m__)).
% 78.42/76.10 cnf(9, plain, [sdtpldt0(_88247, _88252) = _88233, aElementOf0(_88252, slsdtgt0(xb)), aElementOf0(_88247, slsdtgt0(xa)), -(_88233 = sz00), iLess0(sbrdtbr0(_88233), sbrdtbr0(37 ^ [])), -(aElementOf0(40 ^ [_88233], xI))], clausify(m__)).
% 78.42/76.10 cnf(10, plain, [sdtpldt0(_88247, _88252) = _88233, aElementOf0(_88252, slsdtgt0(xb)), aElementOf0(_88247, slsdtgt0(xa)), -(_88233 = sz00), iLess0(sbrdtbr0(_88233), sbrdtbr0(37 ^ [])), 40 ^ [_88233] = sz00], clausify(m__)).
% 78.42/76.10 cnf(11, plain, [sdtpldt0(_88247, _88252) = _88233, aElementOf0(_88252, slsdtgt0(xb)), aElementOf0(_88247, slsdtgt0(xa)), -(_88233 = sz00), iLess0(sbrdtbr0(_88233), sbrdtbr0(37 ^ [])), iLess0(sbrdtbr0(_88801), sbrdtbr0(40 ^ [_88233])), -(_88801 = sz00), aElementOf0(_88801, xI)], clausify(m__)).
% 78.42/76.10
% 78.42/76.10 cnf('1',plain,[37 ^ [] = sz00],start(2)).
% 78.42/76.10 cnf('1.1',plain,[-(37 ^ [] = sz00), -(sdtpldt0(44 ^ [37 ^ []], 45 ^ [37 ^ []]) = 43 ^ [37 ^ []]), aElementOf0(37 ^ [], xI)],extension(5,bind([[_88402], [37 ^ []]]))).
% 78.42/76.10 cnf('1.1.1',plain,[sdtpldt0(44 ^ [37 ^ []], 45 ^ [37 ^ []]) = 43 ^ [37 ^ []], aElementOf0(45 ^ [37 ^ []], slsdtgt0(xb)), aElementOf0(44 ^ [37 ^ []], slsdtgt0(xa)), -(43 ^ [37 ^ []] = sz00), iLess0(sbrdtbr0(43 ^ [37 ^ []]), sbrdtbr0(37 ^ [])), iLess0(sbrdtbr0(43 ^ [40 ^ [43 ^ [37 ^ []]]]), sbrdtbr0(40 ^ [43 ^ [37 ^ []]])), -(43 ^ [40 ^ [43 ^ [37 ^ []]]] = sz00), aElementOf0(43 ^ [40 ^ [43 ^ [37 ^ []]]], xI)],extension(11,bind([[_88252, _88247, _88233, _88801], [45 ^ [37 ^ []], 44 ^ [37 ^ []], 43 ^ [37 ^ []], 43 ^ [40 ^ [43 ^ [37 ^ []]]]]]))).
% 78.42/76.10 cnf('1.1.1.1',plain,[-(aElementOf0(45 ^ [37 ^ []], slsdtgt0(xb))), -(37 ^ [] = sz00), aElementOf0(37 ^ [], xI)],extension(4,bind([[_88402], [37 ^ []]]))).
% 78.42/76.10 cnf('1.1.1.1.1',plain,[37 ^ [] = sz00],extension(2)).
% 78.42/76.10 cnf('1.1.1.1.2',plain,[-(aElementOf0(37 ^ [], xI))],extension(1)).
% 78.42/76.10 cnf('1.1.1.2',plain,[-(aElementOf0(44 ^ [37 ^ []], slsdtgt0(xa))), -(37 ^ [] = sz00), aElementOf0(37 ^ [], xI)],extension(3,bind([[_88402], [37 ^ []]]))).
% 78.42/76.10 cnf('1.1.1.2.1',plain,[37 ^ [] = sz00],extension(2)).
% 78.42/76.10 cnf('1.1.1.2.2',plain,[-(aElementOf0(37 ^ [], xI))],extension(1)).
% 78.42/76.10 cnf('1.1.1.3',plain,[43 ^ [37 ^ []] = sz00, -(37 ^ [] = sz00), aElementOf0(37 ^ [], xI)],extension(7,bind([[_88402], [37 ^ []]]))).
% 78.42/76.10 cnf('1.1.1.3.1',plain,[37 ^ [] = sz00],extension(2)).
% 78.42/76.10 cnf('1.1.1.3.2',plain,[-(aElementOf0(37 ^ [], xI))],extension(1)).
% 78.42/76.10 cnf('1.1.1.4',plain,[-(iLess0(sbrdtbr0(43 ^ [37 ^ []]), sbrdtbr0(37 ^ []))), -(37 ^ [] = sz00), aElementOf0(37 ^ [], xI)],extension(8,bind([[_88402], [37 ^ []]]))).
% 78.42/76.10 cnf('1.1.1.4.1',plain,[37 ^ [] = sz00],extension(2)).
% 78.42/76.10 cnf('1.1.1.4.2',plain,[-(aElementOf0(37 ^ [], xI))],extension(1)).
% 78.42/76.10 cnf('1.1.1.5',plain,[-(iLess0(sbrdtbr0(43 ^ [40 ^ [43 ^ [37 ^ []]]]), sbrdtbr0(40 ^ [43 ^ [37 ^ []]]))), -(40 ^ [43 ^ [37 ^ []]] = sz00), aElementOf0(40 ^ [43 ^ [37 ^ []]], xI)],extension(8,bind([[_88402], [40 ^ [43 ^ [37 ^ []]]]]))).
% 78.42/76.10 cnf('1.1.1.5.1',plain,[40 ^ [43 ^ [37 ^ []]] = sz00, sdtpldt0(44 ^ [37 ^ []], 45 ^ [37 ^ []]) = 43 ^ [37 ^ []], aElementOf0(45 ^ [37 ^ []], slsdtgt0(xb)), aElementOf0(44 ^ [37 ^ []], slsdtgt0(xa)), -(43 ^ [37 ^ []] = sz00), iLess0(sbrdtbr0(43 ^ [37 ^ []]), sbrdtbr0(37 ^ []))],extension(10,bind([[_88252, _88247, _88233], [45 ^ [37 ^ []], 44 ^ [37 ^ []], 43 ^ [37 ^ []]]]))).
% 78.42/76.10 cnf('1.1.1.5.1.1',plain,[-(sdtpldt0(44 ^ [37 ^ []], 45 ^ [37 ^ []]) = 43 ^ [37 ^ []])],reduction('1.1')).
% 78.42/76.10 cnf('1.1.1.5.1.2',plain,[-(aElementOf0(45 ^ [37 ^ []], slsdtgt0(xb)))],lemmata('1.1.1')).
% 78.42/76.10 cnf('1.1.1.5.1.3',plain,[-(aElementOf0(44 ^ [37 ^ []], slsdtgt0(xa)))],lemmata('1.1.1')).
% 78.42/76.10 cnf('1.1.1.5.1.4',plain,[43 ^ [37 ^ []] = sz00],lemmata('1.1.1')).
% 78.42/76.10 cnf('1.1.1.5.1.5',plain,[-(iLess0(sbrdtbr0(43 ^ [37 ^ []]), sbrdtbr0(37 ^ [])))],lemmata('1.1.1')).
% 78.42/76.10 cnf('1.1.1.5.2',plain,[-(aElementOf0(40 ^ [43 ^ [37 ^ []]], xI)), sdtpldt0(44 ^ [37 ^ []], 45 ^ [37 ^ []]) = 43 ^ [37 ^ []], aElementOf0(45 ^ [37 ^ []], slsdtgt0(xb)), aElementOf0(44 ^ [37 ^ []], slsdtgt0(xa)), -(43 ^ [37 ^ []] = sz00), iLess0(sbrdtbr0(43 ^ [37 ^ []]), sbrdtbr0(37 ^ []))],extension(9,bind([[_88252, _88247, _88233], [45 ^ [37 ^ []], 44 ^ [37 ^ []], 43 ^ [37 ^ []]]]))).
% 78.42/76.10 cnf('1.1.1.5.2.1',plain,[-(sdtpldt0(44 ^ [37 ^ []], 45 ^ [37 ^ []]) = 43 ^ [37 ^ []])],reduction('1.1')).
% 78.42/76.10 cnf('1.1.1.5.2.2',plain,[-(aElementOf0(45 ^ [37 ^ []], slsdtgt0(xb)))],lemmata('1.1.1')).
% 78.42/76.10 cnf('1.1.1.5.2.3',plain,[-(aElementOf0(44 ^ [37 ^ []], slsdtgt0(xa)))],lemmata('1.1.1')).
% 78.42/76.10 cnf('1.1.1.5.2.4',plain,[43 ^ [37 ^ []] = sz00],lemmata('1.1.1')).
% 78.42/76.10 cnf('1.1.1.5.2.5',plain,[-(iLess0(sbrdtbr0(43 ^ [37 ^ []]), sbrdtbr0(37 ^ [])))],lemmata('1.1.1')).
% 78.42/76.10 cnf('1.1.1.6',plain,[43 ^ [40 ^ [43 ^ [37 ^ []]]] = sz00, -(40 ^ [43 ^ [37 ^ []]] = sz00), aElementOf0(40 ^ [43 ^ [37 ^ []]], xI)],extension(7,bind([[_88402], [40 ^ [43 ^ [37 ^ []]]]]))).
% 78.42/76.10 cnf('1.1.1.6.1',plain,[40 ^ [43 ^ [37 ^ []]] = sz00, sdtpldt0(44 ^ [37 ^ []], 45 ^ [37 ^ []]) = 43 ^ [37 ^ []], aElementOf0(45 ^ [37 ^ []], slsdtgt0(xb)), aElementOf0(44 ^ [37 ^ []], slsdtgt0(xa)), -(43 ^ [37 ^ []] = sz00), iLess0(sbrdtbr0(43 ^ [37 ^ []]), sbrdtbr0(37 ^ []))],extension(10,bind([[_88252, _88247, _88233], [45 ^ [37 ^ []], 44 ^ [37 ^ []], 43 ^ [37 ^ []]]]))).
% 78.42/76.10 cnf('1.1.1.6.1.1',plain,[-(sdtpldt0(44 ^ [37 ^ []], 45 ^ [37 ^ []]) = 43 ^ [37 ^ []])],reduction('1.1')).
% 78.42/76.10 cnf('1.1.1.6.1.2',plain,[-(aElementOf0(45 ^ [37 ^ []], slsdtgt0(xb)))],lemmata('1.1.1')).
% 78.42/76.10 cnf('1.1.1.6.1.3',plain,[-(aElementOf0(44 ^ [37 ^ []], slsdtgt0(xa)))],lemmata('1.1.1')).
% 78.42/76.10 cnf('1.1.1.6.1.4',plain,[43 ^ [37 ^ []] = sz00],lemmata('1.1.1')).
% 78.42/76.10 cnf('1.1.1.6.1.5',plain,[-(iLess0(sbrdtbr0(43 ^ [37 ^ []]), sbrdtbr0(37 ^ [])))],lemmata('1.1.1')).
% 78.42/76.10 cnf('1.1.1.6.2',plain,[-(aElementOf0(40 ^ [43 ^ [37 ^ []]], xI)), sdtpldt0(44 ^ [37 ^ []], 45 ^ [37 ^ []]) = 43 ^ [37 ^ []], aElementOf0(45 ^ [37 ^ []], slsdtgt0(xb)), aElementOf0(44 ^ [37 ^ []], slsdtgt0(xa)), -(43 ^ [37 ^ []] = sz00), iLess0(sbrdtbr0(43 ^ [37 ^ []]), sbrdtbr0(37 ^ []))],extension(9,bind([[_88252, _88247, _88233], [45 ^ [37 ^ []], 44 ^ [37 ^ []], 43 ^ [37 ^ []]]]))).
% 78.42/76.10 cnf('1.1.1.6.2.1',plain,[-(sdtpldt0(44 ^ [37 ^ []], 45 ^ [37 ^ []]) = 43 ^ [37 ^ []])],reduction('1.1')).
% 78.42/76.10 cnf('1.1.1.6.2.2',plain,[-(aElementOf0(45 ^ [37 ^ []], slsdtgt0(xb)))],lemmata('1.1.1')).
% 78.42/76.10 cnf('1.1.1.6.2.3',plain,[-(aElementOf0(44 ^ [37 ^ []], slsdtgt0(xa)))],lemmata('1.1.1')).
% 78.42/76.10 cnf('1.1.1.6.2.4',plain,[43 ^ [37 ^ []] = sz00],lemmata('1.1.1')).
% 78.42/76.10 cnf('1.1.1.6.2.5',plain,[-(iLess0(sbrdtbr0(43 ^ [37 ^ []]), sbrdtbr0(37 ^ [])))],lemmata('1.1.1')).
% 78.42/76.10 cnf('1.1.1.7',plain,[-(aElementOf0(43 ^ [40 ^ [43 ^ [37 ^ []]]], xI)), -(40 ^ [43 ^ [37 ^ []]] = sz00), aElementOf0(40 ^ [43 ^ [37 ^ []]], xI)],extension(6,bind([[_88402], [40 ^ [43 ^ [37 ^ []]]]]))).
% 78.42/76.10 cnf('1.1.1.7.1',plain,[40 ^ [43 ^ [37 ^ []]] = sz00, sdtpldt0(44 ^ [37 ^ []], 45 ^ [37 ^ []]) = 43 ^ [37 ^ []], aElementOf0(45 ^ [37 ^ []], slsdtgt0(xb)), aElementOf0(44 ^ [37 ^ []], slsdtgt0(xa)), -(43 ^ [37 ^ []] = sz00), iLess0(sbrdtbr0(43 ^ [37 ^ []]), sbrdtbr0(37 ^ []))],extension(10,bind([[_88252, _88247, _88233], [45 ^ [37 ^ []], 44 ^ [37 ^ []], 43 ^ [37 ^ []]]]))).
% 78.42/76.10 cnf('1.1.1.7.1.1',plain,[-(sdtpldt0(44 ^ [37 ^ []], 45 ^ [37 ^ []]) = 43 ^ [37 ^ []])],reduction('1.1')).
% 78.42/76.10 cnf('1.1.1.7.1.2',plain,[-(aElementOf0(45 ^ [37 ^ []], slsdtgt0(xb)))],lemmata('1.1.1')).
% 78.42/76.10 cnf('1.1.1.7.1.3',plain,[-(aElementOf0(44 ^ [37 ^ []], slsdtgt0(xa)))],lemmata('1.1.1')).
% 78.42/76.10 cnf('1.1.1.7.1.4',plain,[43 ^ [37 ^ []] = sz00],lemmata('1.1.1')).
% 78.42/76.10 cnf('1.1.1.7.1.5',plain,[-(iLess0(sbrdtbr0(43 ^ [37 ^ []]), sbrdtbr0(37 ^ [])))],lemmata('1.1.1')).
% 78.42/76.10 cnf('1.1.1.7.2',plain,[-(aElementOf0(40 ^ [43 ^ [37 ^ []]], xI)), sdtpldt0(44 ^ [37 ^ []], 45 ^ [37 ^ []]) = 43 ^ [37 ^ []], aElementOf0(45 ^ [37 ^ []], slsdtgt0(xb)), aElementOf0(44 ^ [37 ^ []], slsdtgt0(xa)), -(43 ^ [37 ^ []] = sz00), iLess0(sbrdtbr0(43 ^ [37 ^ []]), sbrdtbr0(37 ^ []))],extension(9,bind([[_88252, _88247, _88233], [45 ^ [37 ^ []], 44 ^ [37 ^ []], 43 ^ [37 ^ []]]]))).
% 78.42/76.10 cnf('1.1.1.7.2.1',plain,[-(sdtpldt0(44 ^ [37 ^ []], 45 ^ [37 ^ []]) = 43 ^ [37 ^ []])],reduction('1.1')).
% 78.42/76.10 cnf('1.1.1.7.2.2',plain,[-(aElementOf0(45 ^ [37 ^ []], slsdtgt0(xb)))],lemmata('1.1.1')).
% 78.42/76.10 cnf('1.1.1.7.2.3',plain,[-(aElementOf0(44 ^ [37 ^ []], slsdtgt0(xa)))],lemmata('1.1.1')).
% 78.42/76.10 cnf('1.1.1.7.2.4',plain,[43 ^ [37 ^ []] = sz00],lemmata('1.1.1')).
% 78.42/76.10 cnf('1.1.1.7.2.5',plain,[-(iLess0(sbrdtbr0(43 ^ [37 ^ []]), sbrdtbr0(37 ^ [])))],lemmata('1.1.1')).
% 78.42/76.10 cnf('1.1.2',plain,[-(aElementOf0(37 ^ [], xI))],extension(1)).
% 78.42/76.10 %-----------------------------------------------------
% 78.45/76.11
% 78.45/76.11 % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------