TSTP Solution File: NUM536+1 by leanCoP---2.2
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- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : NUM536+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n026.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 11:41:47 EDT 2022
% Result : Theorem 0.61s 1.40s
% Output : Proof 0.61s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11 % Problem : NUM536+1 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.12 % Command : leancop_casc.sh %s %d
% 0.12/0.33 % Computer : n026.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 06:02:24 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.61/1.40 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.61/1.41 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.61/1.41
% 0.61/1.41 %-----------------------------------------------------
% 0.61/1.41 fof(m__, conjecture, sdtmndt0(sdtpldt0(xS, xx), xx) = xS, file('/export/starexec/sandbox2/benchmark/theBenchmark.p', m__)).
% 0.61/1.41 fof(mEOfElem, axiom, ! [_47423] : (aSet0(_47423) => ! [_47438] : (aElementOf0(_47438, _47423) => aElement0(_47438))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', mEOfElem)).
% 0.61/1.41 fof(mDefCons, definition, ! [_47616, _47619] : (aSet0(_47616) & aElement0(_47619) => ! [_47641] : (_47641 = sdtpldt0(_47616, _47619) <=> aSet0(_47641) & ! [_47669] : (aElementOf0(_47669, _47641) <=> aElement0(_47669) & (aElementOf0(_47669, _47616) | _47669 = _47619)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', mDefCons)).
% 0.61/1.41 fof(m__679, hypothesis, aElement0(xx) & aSet0(xS), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', m__679)).
% 0.61/1.41 fof(m__679_02, hypothesis, ~ aElementOf0(xx, xS), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', m__679_02)).
% 0.61/1.41 fof(mDefDiff, definition, ! [_48125, _48128] : (aSet0(_48125) & aElement0(_48128) => ! [_48150] : (_48150 = sdtmndt0(_48125, _48128) <=> aSet0(_48150) & ! [_48178] : (aElementOf0(_48178, _48150) <=> aElement0(_48178) & aElementOf0(_48178, _48125) & (! _48178) = _48128))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', mDefDiff)).
% 0.61/1.41
% 0.61/1.41 cnf(1, plain, [sdtmndt0(sdtpldt0(xS, xx), xx) = xS], clausify(m__)).
% 0.61/1.41 cnf(2, plain, [-(_10548 = _10548)], theory(equality)).
% 0.61/1.41 cnf(3, plain, [_10701 = _10746, -(_10746 = _10701)], theory(equality)).
% 0.61/1.41 cnf(4, plain, [-(aElementOf0(_11852, _11983)), aElementOf0(_11785, _11918), _11785 = _11852, _11918 = _11983], theory(equality)).
% 0.61/1.41 cnf(5, plain, [aSet0(_15847), aElementOf0(_15934, _15847), -(aElement0(_15934))], clausify(mEOfElem)).
% 0.61/1.41 cnf(6, plain, [aElement0(_20353), aSet0(_20263), _20533 = sdtpldt0(_20263, _20353), -(aSet0(_20533))], clausify(mDefCons)).
% 0.61/1.41 cnf(7, plain, [aElement0(_20353), aSet0(_20263), _20533 = sdtpldt0(_20263, _20353), aElementOf0(_20745, _20533), -(aElementOf0(_20745, _20263)), -(_20745 = _20353)], clausify(mDefCons)).
% 0.61/1.41 cnf(8, plain, [aElement0(_20353), aSet0(_20263), _20533 = sdtpldt0(_20263, _20353), -(aElementOf0(_20745, _20533)), aElement0(_20745), aElementOf0(_20745, _20263)], clausify(mDefCons)).
% 0.61/1.41 cnf(9, plain, [-(aElement0(xx))], clausify(m__679)).
% 0.61/1.41 cnf(10, plain, [-(aSet0(xS))], clausify(m__679)).
% 0.61/1.41 cnf(11, plain, [aElementOf0(xx, xS)], clausify(m__679_02)).
% 0.61/1.41 cnf(12, plain, [aElement0(_21307), aSet0(_21215), -(_21489 = sdtmndt0(_21215, _21307)), aSet0(_21489), -(aElementOf0(4 ^ [_21489, _21307, _21215], _21489)), -(aElementOf0(4 ^ [_21489, _21307, _21215], _21215))], clausify(mDefDiff)).
% 0.61/1.41 cnf(13, plain, [aElement0(_21307), aSet0(_21215), -(_21489 = sdtmndt0(_21215, _21307)), aSet0(_21489), -(aElementOf0(4 ^ [_21489, _21307, _21215], _21489)), 4 ^ [_21489, _21307, _21215] = _21307], clausify(mDefDiff)).
% 0.61/1.41 cnf(14, plain, [aElement0(_21307), aSet0(_21215), -(_21489 = sdtmndt0(_21215, _21307)), aSet0(_21489), aElementOf0(4 ^ [_21489, _21307, _21215], _21489), aElement0(4 ^ [_21489, _21307, _21215]), aElementOf0(4 ^ [_21489, _21307, _21215], _21215), -(4 ^ [_21489, _21307, _21215] = _21307)], clausify(mDefDiff)).
% 0.61/1.41
% 0.61/1.41 cnf('1',plain,[sdtmndt0(sdtpldt0(xS, xx), xx) = xS],start(1)).
% 0.61/1.41 cnf('1.1',plain,[-(sdtmndt0(sdtpldt0(xS, xx), xx) = xS), xS = sdtmndt0(sdtpldt0(xS, xx), xx)],extension(3,bind([[_10701, _10746], [xS, sdtmndt0(sdtpldt0(xS, xx), xx)]]))).
% 0.61/1.41 cnf('1.1.1',plain,[-(xS = sdtmndt0(sdtpldt0(xS, xx), xx)), aElement0(xx), aSet0(sdtpldt0(xS, xx)), aSet0(xS), aElementOf0(4 ^ [xS, xx, sdtpldt0(xS, xx)], xS), aElement0(4 ^ [xS, xx, sdtpldt0(xS, xx)]), aElementOf0(4 ^ [xS, xx, sdtpldt0(xS, xx)], sdtpldt0(xS, xx)), -(4 ^ [xS, xx, sdtpldt0(xS, xx)] = xx)],extension(14,bind([[_21489, _21215, _21307], [xS, sdtpldt0(xS, xx), xx]]))).
% 0.61/1.41 cnf('1.1.1.1',plain,[-(aElement0(xx))],extension(9)).
% 0.61/1.41 cnf('1.1.1.2',plain,[-(aSet0(sdtpldt0(xS, xx))), aElement0(xx), aSet0(xS), sdtpldt0(xS, xx) = sdtpldt0(xS, xx)],extension(6,bind([[_20533, _20263, _20353], [sdtpldt0(xS, xx), xS, xx]]))).
% 0.61/1.41 cnf('1.1.1.2.1',plain,[-(aElement0(xx))],extension(9)).
% 0.61/1.41 cnf('1.1.1.2.2',plain,[-(aSet0(xS))],extension(10)).
% 0.61/1.41 cnf('1.1.1.2.3',plain,[-(sdtpldt0(xS, xx) = sdtpldt0(xS, xx))],extension(2,bind([[_10548], [sdtpldt0(xS, xx)]]))).
% 0.61/1.41 cnf('1.1.1.3',plain,[-(aSet0(xS))],extension(10)).
% 0.61/1.41 cnf('1.1.1.4',plain,[-(aElementOf0(4 ^ [xS, xx, sdtpldt0(xS, xx)], xS)), aElement0(xx), aSet0(xS), sdtpldt0(xS, xx) = sdtpldt0(xS, xx), aElementOf0(4 ^ [xS, xx, sdtpldt0(xS, xx)], sdtpldt0(xS, xx)), -(4 ^ [xS, xx, sdtpldt0(xS, xx)] = xx)],extension(7,bind([[_20263, _20533, _20745, _20353], [xS, sdtpldt0(xS, xx), 4 ^ [xS, xx, sdtpldt0(xS, xx)], xx]]))).
% 0.61/1.41 cnf('1.1.1.4.1',plain,[-(aElement0(xx))],extension(9)).
% 0.61/1.41 cnf('1.1.1.4.2',plain,[-(aSet0(xS))],extension(10)).
% 0.61/1.41 cnf('1.1.1.4.3',plain,[-(sdtpldt0(xS, xx) = sdtpldt0(xS, xx))],extension(2,bind([[_10548], [sdtpldt0(xS, xx)]]))).
% 0.61/1.41 cnf('1.1.1.4.4',plain,[-(aElementOf0(4 ^ [xS, xx, sdtpldt0(xS, xx)], sdtpldt0(xS, xx))), aElement0(xx), aSet0(sdtpldt0(xS, xx)), -(xS = sdtmndt0(sdtpldt0(xS, xx), xx)), aSet0(xS), -(aElementOf0(4 ^ [xS, xx, sdtpldt0(xS, xx)], xS))],extension(12,bind([[_21307, _21215, _21489], [xx, sdtpldt0(xS, xx), xS]]))).
% 0.61/1.41 cnf('1.1.1.4.4.1',plain,[-(aElement0(xx))],extension(9)).
% 0.61/1.41 cnf('1.1.1.4.4.2',plain,[-(aSet0(sdtpldt0(xS, xx)))],lemmata('1.1.1')).
% 0.61/1.41 cnf('1.1.1.4.4.3',plain,[xS = sdtmndt0(sdtpldt0(xS, xx), xx)],reduction('1.1')).
% 0.61/1.41 cnf('1.1.1.4.4.4',plain,[-(aSet0(xS))],extension(10)).
% 0.61/1.41 cnf('1.1.1.4.4.5',plain,[aElementOf0(4 ^ [xS, xx, sdtpldt0(xS, xx)], xS)],reduction('1.1.1')).
% 0.61/1.41 cnf('1.1.1.4.5',plain,[4 ^ [xS, xx, sdtpldt0(xS, xx)] = xx, aElement0(xx), aSet0(sdtpldt0(xS, xx)), -(xS = sdtmndt0(sdtpldt0(xS, xx), xx)), aSet0(xS), -(aElementOf0(4 ^ [xS, xx, sdtpldt0(xS, xx)], xS))],extension(13,bind([[_21307, _21215, _21489], [xx, sdtpldt0(xS, xx), xS]]))).
% 0.61/1.41 cnf('1.1.1.4.5.1',plain,[-(aElement0(xx))],extension(9)).
% 0.61/1.41 cnf('1.1.1.4.5.2',plain,[-(aSet0(sdtpldt0(xS, xx)))],lemmata('1.1.1')).
% 0.61/1.41 cnf('1.1.1.4.5.3',plain,[xS = sdtmndt0(sdtpldt0(xS, xx), xx)],reduction('1.1')).
% 0.61/1.41 cnf('1.1.1.4.5.4',plain,[-(aSet0(xS))],extension(10)).
% 0.61/1.41 cnf('1.1.1.4.5.5',plain,[aElementOf0(4 ^ [xS, xx, sdtpldt0(xS, xx)], xS)],reduction('1.1.1')).
% 0.61/1.41 cnf('1.1.1.5',plain,[-(aElement0(4 ^ [xS, xx, sdtpldt0(xS, xx)])), aSet0(xS), aElementOf0(4 ^ [xS, xx, sdtpldt0(xS, xx)], xS)],extension(5,bind([[_15934, _15847], [4 ^ [xS, xx, sdtpldt0(xS, xx)], xS]]))).
% 0.61/1.41 cnf('1.1.1.5.1',plain,[-(aSet0(xS))],extension(10)).
% 0.61/1.41 cnf('1.1.1.5.2',plain,[-(aElementOf0(4 ^ [xS, xx, sdtpldt0(xS, xx)], xS))],lemmata('1.1.1')).
% 0.61/1.41 cnf('1.1.1.6',plain,[-(aElementOf0(4 ^ [xS, xx, sdtpldt0(xS, xx)], sdtpldt0(xS, xx))), aElement0(xx), aSet0(xS), sdtpldt0(xS, xx) = sdtpldt0(xS, xx), aElement0(4 ^ [xS, xx, sdtpldt0(xS, xx)]), aElementOf0(4 ^ [xS, xx, sdtpldt0(xS, xx)], xS)],extension(8,bind([[_20533, _20353, _20745, _20263], [sdtpldt0(xS, xx), xx, 4 ^ [xS, xx, sdtpldt0(xS, xx)], xS]]))).
% 0.61/1.41 cnf('1.1.1.6.1',plain,[-(aElement0(xx))],extension(9)).
% 0.61/1.41 cnf('1.1.1.6.2',plain,[-(aSet0(xS))],extension(10)).
% 0.61/1.41 cnf('1.1.1.6.3',plain,[-(sdtpldt0(xS, xx) = sdtpldt0(xS, xx))],extension(2,bind([[_10548], [sdtpldt0(xS, xx)]]))).
% 0.61/1.41 cnf('1.1.1.6.4',plain,[-(aElement0(4 ^ [xS, xx, sdtpldt0(xS, xx)]))],lemmata('1.1.1')).
% 0.61/1.41 cnf('1.1.1.6.5',plain,[-(aElementOf0(4 ^ [xS, xx, sdtpldt0(xS, xx)], xS))],lemmata('1.1.1')).
% 0.61/1.41 cnf('1.1.1.7',plain,[4 ^ [xS, xx, sdtpldt0(xS, xx)] = xx, -(aElementOf0(xx, xS)), aElementOf0(4 ^ [xS, xx, sdtpldt0(xS, xx)], xS), xS = xS],extension(4,bind([[_11852, _11785, _11918, _11983], [xx, 4 ^ [xS, xx, sdtpldt0(xS, xx)], xS, xS]]))).
% 0.61/1.41 cnf('1.1.1.7.1',plain,[aElementOf0(xx, xS)],extension(11)).
% 0.61/1.41 cnf('1.1.1.7.2',plain,[-(aElementOf0(4 ^ [xS, xx, sdtpldt0(xS, xx)], xS)), aElement0(xx), aSet0(sdtpldt0(xS, xx)), -(xS = sdtmndt0(sdtpldt0(xS, xx), xx)), aSet0(xS), 4 ^ [xS, xx, sdtpldt0(xS, xx)] = xx],extension(13,bind([[_21489, _21215, _21307], [xS, sdtpldt0(xS, xx), xx]]))).
% 0.61/1.41 cnf('1.1.1.7.2.1',plain,[-(aElement0(xx))],extension(9)).
% 0.61/1.41 cnf('1.1.1.7.2.2',plain,[-(aSet0(sdtpldt0(xS, xx)))],lemmata('1.1.1')).
% 0.61/1.41 cnf('1.1.1.7.2.3',plain,[xS = sdtmndt0(sdtpldt0(xS, xx), xx)],reduction('1.1')).
% 0.61/1.41 cnf('1.1.1.7.2.4',plain,[-(aSet0(xS))],extension(10)).
% 0.61/1.41 cnf('1.1.1.7.2.5',plain,[-(4 ^ [xS, xx, sdtpldt0(xS, xx)] = xx)],reduction('1.1.1')).
% 0.61/1.41 cnf('1.1.1.7.3',plain,[-(xS = xS)],extension(2,bind([[_10548], [xS]]))).
% 0.61/1.41 %-----------------------------------------------------
% 0.61/1.42
% 0.61/1.42 % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------