TSTP Solution File: NUM443+4 by leanCoP---2.2
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%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : NUM443+4 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n025.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 11:40:52 EDT 2022
% Result : Theorem 20.68s 21.04s
% Output : Proof 20.71s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : NUM443+4 : TPTP v8.1.0. Released v4.0.0.
% 0.04/0.13 % Command : leancop_casc.sh %s %d
% 0.12/0.34 % Computer : n025.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Fri Jul 8 02:33:44 EDT 2022
% 0.12/0.34 % CPUTime :
% 20.68/21.04 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 20.68/21.05 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 20.71/21.05
% 20.71/21.05 %-----------------------------------------------------
% 20.71/21.05 fof(m__, conjecture, aSet0(szAzrzSzezqlpdtcmdtrp0(xa, xq)) & ! [_109554] : ((aElementOf0(_109554, szAzrzSzezqlpdtcmdtrp0(xa, xq)) => aInteger0(_109554) & ? [_109586] : (aInteger0(_109586) & sdtasdt0(xq, _109586) = sdtpldt0(_109554, smndt0(xa))) & aDivisorOf0(xq, sdtpldt0(_109554, smndt0(xa))) & sdteqdtlpzmzozddtrp0(_109554, xa, xq)) & (aInteger0(_109554) & (? [_109586] : (aInteger0(_109586) & sdtasdt0(xq, _109586) = sdtpldt0(_109554, smndt0(xa))) | aDivisorOf0(xq, sdtpldt0(_109554, smndt0(xa))) | sdteqdtlpzmzozddtrp0(_109554, xa, xq)) => aElementOf0(_109554, szAzrzSzezqlpdtcmdtrp0(xa, xq)))) & ~ aElementOf0(xb, szAzrzSzezqlpdtcmdtrp0(xa, xq)) & aElementOf0(xb, stldt0(szAzrzSzezqlpdtcmdtrp0(xa, xq))) & ? [_109554] : (aInteger0(_109554) & sdtasdt0(xq, _109554) = sdtpldt0(xc, smndt0(xb))) & aDivisorOf0(xq, sdtpldt0(xc, smndt0(xb))) & sdteqdtlpzmzozddtrp0(xc, xb, xq) => aSet0(szAzrzSzezqlpdtcmdtrp0(xa, xq)) & ! [_109554] : ((aElementOf0(_109554, szAzrzSzezqlpdtcmdtrp0(xa, xq)) => aInteger0(_109554) & ? [_109586] : (aInteger0(_109586) & sdtasdt0(xq, _109586) = sdtpldt0(_109554, smndt0(xa))) & aDivisorOf0(xq, sdtpldt0(_109554, smndt0(xa))) & sdteqdtlpzmzozddtrp0(_109554, xa, xq)) & (aInteger0(_109554) & (? [_109586] : (aInteger0(_109586) & sdtasdt0(xq, _109586) = sdtpldt0(_109554, smndt0(xa))) | aDivisorOf0(xq, sdtpldt0(_109554, smndt0(xa))) | sdteqdtlpzmzozddtrp0(_109554, xa, xq)) => aElementOf0(_109554, szAzrzSzezqlpdtcmdtrp0(xa, xq)))) => ~ aElementOf0(xc, szAzrzSzezqlpdtcmdtrp0(xa, xq)) | aElementOf0(xc, stldt0(szAzrzSzezqlpdtcmdtrp0(xa, xq))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', m__)).
% 20.71/21.05 fof(mEquModSym, axiom, ! [_111375, _111378, _111381] : (aInteger0(_111375) & aInteger0(_111378) & aInteger0(_111381) & (! _111381) = sz00 => sdteqdtlpzmzozddtrp0(_111375, _111378, _111381) => sdteqdtlpzmzozddtrp0(_111378, _111375, _111381)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', mEquModSym)).
% 20.71/21.05 fof(mEquModTrn, axiom, ! [_111640, _111643, _111646, _111649] : (aInteger0(_111640) & aInteger0(_111643) & aInteger0(_111646) & (! _111646) = sz00 & aInteger0(_111649) => sdteqdtlpzmzozddtrp0(_111640, _111643, _111646) & sdteqdtlpzmzozddtrp0(_111643, _111649, _111646) => sdteqdtlpzmzozddtrp0(_111640, _111649, _111646)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', mEquModTrn)).
% 20.71/21.05 fof(m__1962, hypothesis, aInteger0(xa) & aInteger0(xq) & (! xq) = sz00, file('/export/starexec/sandbox/benchmark/theBenchmark.p', m__1962)).
% 20.71/21.05 fof(m__2010, hypothesis, aInteger0(xb) & aInteger0(xc), file('/export/starexec/sandbox/benchmark/theBenchmark.p', m__2010)).
% 20.71/21.05
% 20.71/21.05 cnf(1, plain, [-(21 ^ [_66847]), -(sdteqdtlpzmzozddtrp0(_66847, xa, xq))], clausify(m__)).
% 20.71/21.05 cnf(2, plain, [-(21 ^ [_66847]), -(aInteger0(_66847))], clausify(m__)).
% 20.71/21.05 cnf(3, plain, [-(18 ^ [_64529]), sdteqdtlpzmzozddtrp0(_64529, xa, xq)], clausify(m__)).
% 20.71/21.05 cnf(4, plain, [aElementOf0(xb, szAzrzSzezqlpdtcmdtrp0(xa, xq))], clausify(m__)).
% 20.71/21.05 cnf(5, plain, [-(sdteqdtlpzmzozddtrp0(xc, xb, xq))], clausify(m__)).
% 20.71/21.05 cnf(6, plain, [-(aElementOf0(_64529, szAzrzSzezqlpdtcmdtrp0(xa, xq))), aInteger0(_64529), 18 ^ [_64529]], clausify(m__)).
% 20.71/21.05 cnf(7, plain, [-(aElementOf0(xc, szAzrzSzezqlpdtcmdtrp0(xa, xq)))], clausify(m__)).
% 20.71/21.05 cnf(8, plain, [aElementOf0(_66847, szAzrzSzezqlpdtcmdtrp0(xa, xq)), 21 ^ [_66847]], clausify(m__)).
% 20.71/21.05 cnf(9, plain, [_30578 = _30623, -(_30623 = _30578)], theory(equality)).
% 20.71/21.05 cnf(10, plain, [-(_30857 = _30968), _30857 = _30913, _30913 = _30968], theory(equality)).
% 20.71/21.05 cnf(11, plain, [-(sdteqdtlpzmzozddtrp0(_49973, _49898, _50047)), sdteqdtlpzmzozddtrp0(_49898, _49973, _50047), aInteger0(_49898), aInteger0(_49973), aInteger0(_50047), -(_50047 = sz00)], clausify(mEquModSym)).
% 20.71/21.05 cnf(12, plain, [sdteqdtlpzmzozddtrp0(_50769, _50950, _50860), sdteqdtlpzmzozddtrp0(_50677, _50769, _50860), -(sdteqdtlpzmzozddtrp0(_50677, _50950, _50860)), aInteger0(_50677), aInteger0(_50769), aInteger0(_50860), -(_50860 = sz00), aInteger0(_50950)], clausify(mEquModTrn)).
% 20.71/21.05 cnf(13, plain, [-(aInteger0(xa))], clausify(m__1962)).
% 20.71/21.05 cnf(14, plain, [-(aInteger0(xq))], clausify(m__1962)).
% 20.71/21.05 cnf(15, plain, [xq = sz00], clausify(m__1962)).
% 20.71/21.05 cnf(16, plain, [-(aInteger0(xb))], clausify(m__2010)).
% 20.71/21.05 cnf(17, plain, [-(aInteger0(xc))], clausify(m__2010)).
% 20.71/21.05
% 20.71/21.05 cnf('1',plain,[aElementOf0(xb, szAzrzSzezqlpdtcmdtrp0(xa, xq))],start(4)).
% 20.71/21.05 cnf('1.1',plain,[-(aElementOf0(xb, szAzrzSzezqlpdtcmdtrp0(xa, xq))), aInteger0(xb), 18 ^ [xb]],extension(6,bind([[_64529], [xb]]))).
% 20.71/21.05 cnf('1.1.1',plain,[-(aInteger0(xb))],extension(16)).
% 20.71/21.05 cnf('1.1.2',plain,[-(18 ^ [xb]), sdteqdtlpzmzozddtrp0(xb, xa, xq)],extension(3,bind([[_64529], [xb]]))).
% 20.71/21.05 cnf('1.1.2.1',plain,[-(sdteqdtlpzmzozddtrp0(xb, xa, xq)), sdteqdtlpzmzozddtrp0(xc, xa, xq), sdteqdtlpzmzozddtrp0(xb, xc, xq), aInteger0(xb), aInteger0(xc), aInteger0(xq), -(xq = sz00), aInteger0(xa)],extension(12,bind([[_50677, _50769, _50860, _50950], [xb, xc, xq, xa]]))).
% 20.71/21.05 cnf('1.1.2.1.1',plain,[-(sdteqdtlpzmzozddtrp0(xc, xa, xq)), -(21 ^ [xc])],extension(1,bind([[_66847], [xc]]))).
% 20.71/21.05 cnf('1.1.2.1.1.1',plain,[21 ^ [xc], aElementOf0(xc, szAzrzSzezqlpdtcmdtrp0(xa, xq))],extension(8,bind([[_66847], [xc]]))).
% 20.71/21.05 cnf('1.1.2.1.1.1.1',plain,[-(aElementOf0(xc, szAzrzSzezqlpdtcmdtrp0(xa, xq)))],extension(7)).
% 20.71/21.05 cnf('1.1.2.1.2',plain,[-(sdteqdtlpzmzozddtrp0(xb, xc, xq)), sdteqdtlpzmzozddtrp0(xc, xb, xq), aInteger0(xc), aInteger0(xb), aInteger0(xq), -(xq = sz00)],extension(11,bind([[_49898, _49973, _50047], [xc, xb, xq]]))).
% 20.71/21.05 cnf('1.1.2.1.2.1',plain,[-(sdteqdtlpzmzozddtrp0(xc, xb, xq))],extension(5)).
% 20.71/21.05 cnf('1.1.2.1.2.2',plain,[-(aInteger0(xc))],extension(17)).
% 20.71/21.05 cnf('1.1.2.1.2.3',plain,[-(aInteger0(xb))],extension(16)).
% 20.71/21.05 cnf('1.1.2.1.2.4',plain,[-(aInteger0(xq))],extension(14)).
% 20.71/21.05 cnf('1.1.2.1.2.5',plain,[xq = sz00],extension(15)).
% 20.71/21.05 cnf('1.1.2.1.3',plain,[-(aInteger0(xb))],extension(16)).
% 20.71/21.05 cnf('1.1.2.1.4',plain,[-(aInteger0(xc)), -(21 ^ [xc])],extension(2,bind([[_66847], [xc]]))).
% 20.71/21.05 cnf('1.1.2.1.4.1',plain,[21 ^ [xc], aElementOf0(xc, szAzrzSzezqlpdtcmdtrp0(xa, xq))],extension(8,bind([[_66847], [xc]]))).
% 20.71/21.05 cnf('1.1.2.1.4.1.1',plain,[-(aElementOf0(xc, szAzrzSzezqlpdtcmdtrp0(xa, xq)))],extension(7)).
% 20.71/21.05 cnf('1.1.2.1.5',plain,[-(aInteger0(xq))],extension(14)).
% 20.71/21.05 cnf('1.1.2.1.6',plain,[xq = sz00, -(xq = xq), sz00 = xq],extension(10,bind([[_30857, _30913, _30968], [xq, sz00, xq]]))).
% 20.71/21.05 cnf('1.1.2.1.6.1',plain,[xq = xq, -(xq = sz00), xq = sz00],extension(10,bind([[_30857, _30913, _30968], [xq, xq, sz00]]))).
% 20.71/21.05 cnf('1.1.2.1.6.1.1',plain,[xq = sz00],extension(15)).
% 20.71/21.05 cnf('1.1.2.1.6.1.2',plain,[-(xq = sz00)],reduction('1.1.2.1')).
% 20.71/21.05 cnf('1.1.2.1.6.2',plain,[-(sz00 = xq), xq = sz00],extension(9,bind([[_30578, _30623], [xq, sz00]]))).
% 20.71/21.05 cnf('1.1.2.1.6.2.1',plain,[-(xq = sz00)],reduction('1.1.2.1')).
% 20.71/21.05 cnf('1.1.2.1.7',plain,[-(aInteger0(xa))],extension(13)).
% 20.71/21.05 %-----------------------------------------------------
% 20.71/21.06
% 20.71/21.06 % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------