TSTP Solution File: RNG092+1 by leanCoP---2.2
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : RNG092+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n027.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 20:33:48 EDT 2022
% Result : Theorem 254.37s 245.78s
% Output : Proof 254.37s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.09 % Problem : RNG092+1 : TPTP v8.1.0. Released v4.0.0.
% 0.08/0.09 % Command : leancop_casc.sh %s %d
% 0.08/0.28 % Computer : n027.cluster.edu
% 0.08/0.28 % Model : x86_64 x86_64
% 0.08/0.28 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.28 % Memory : 8042.1875MB
% 0.08/0.28 % OS : Linux 3.10.0-693.el7.x86_64
% 0.08/0.28 % CPULimit : 300
% 0.08/0.29 % WCLimit : 600
% 0.08/0.29 % DateTime : Mon May 30 07:03:01 EDT 2022
% 0.08/0.29 % CPUTime :
% 254.37/245.78 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 254.37/245.78 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 254.37/245.79
% 254.37/245.79 %-----------------------------------------------------
% 254.37/245.79 fof(m__, conjecture, ! [_77688, _77691, _77694] : (aElementOf0(_77688, sdtpldt1(xI, xJ)) & aElementOf0(_77691, sdtpldt1(xI, xJ)) & aElement0(_77694) => ? [_77743, _77746] : (aElementOf0(_77743, xI) & aElementOf0(_77746, xJ) & _77688 = sdtpldt0(_77743, _77746) & ? [_77787, _77790] : (aElementOf0(_77787, xI) & aElementOf0(_77790, xJ) & _77691 = sdtpldt0(_77787, _77790) & aElementOf0(sdtpldt0(_77743, _77787), xI) & aElementOf0(sdtpldt0(_77746, _77790), xJ) & aElementOf0(sdtasdt0(_77694, _77743), xI) & aElementOf0(sdtasdt0(_77694, _77746), xJ) & sdtpldt0(_77688, _77691) = sdtpldt0(sdtpldt0(_77743, _77787), sdtpldt0(_77746, _77790)) & aElementOf0(sdtpldt0(_77688, _77691), sdtpldt1(xI, xJ)) & aElementOf0(sdtasdt0(_77694, _77688), sdtpldt1(xI, xJ))))) => aIdeal0(sdtpldt1(xI, xJ)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', m__)).
% 254.37/245.79 fof(m__870, hypothesis, aIdeal0(xI) & aIdeal0(xJ), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', m__870)).
% 254.37/245.79 fof(mSortsU, axiom, ! [_78665] : (aElement0(_78665) => aElement0(smndt0(_78665))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', mSortsU)).
% 254.37/245.79 fof(mDefIdeal, definition, ! [_78818] : (aIdeal0(_78818) <=> aSet0(_78818) & ! [_78840] : (aElementOf0(_78840, _78818) => ! [_78858] : (aElementOf0(_78858, _78818) => aElementOf0(sdtpldt0(_78840, _78858), _78818)) & ! [_78858] : (aElement0(_78858) => aElementOf0(sdtasdt0(_78858, _78840), _78818)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', mDefIdeal)).
% 254.37/245.79 fof(mSortsC, axiom, aElement0(sz00), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', mSortsC)).
% 254.37/245.79 fof(mDefSSum, definition, ! [_79361, _79364] : (aSet0(_79361) & aSet0(_79364) => ! [_79386] : (_79386 = sdtpldt1(_79361, _79364) <=> aSet0(_79386) & ! [_79414] : (aElementOf0(_79414, _79386) <=> ? [_79432, _79435] : (aElementOf0(_79432, _79361) & aElementOf0(_79435, _79364) & sdtpldt0(_79432, _79435) = _79414)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', mDefSSum)).
% 254.37/245.79
% 254.37/245.79 cnf(1, plain, [-(aElementOf0(sdtpldt0(_34275, _34464), sdtpldt1(xI, xJ))), aElementOf0(_34275, sdtpldt1(xI, xJ)), aElementOf0(_34464, sdtpldt1(xI, xJ)), aElement0(_34652)], clausify(m__)).
% 254.37/245.79 cnf(2, plain, [-(aIdeal0(xJ))], clausify(m__870)).
% 254.37/245.79 cnf(3, plain, [-(_16433 = _16433)], theory(equality)).
% 254.37/245.79 cnf(4, plain, [aElement0(_22366), -(aElement0(smndt0(_22366)))], clausify(mSortsU)).
% 254.37/245.79 cnf(5, plain, [-(aElementOf0(sdtasdt0(_34652, _34275), sdtpldt1(xI, xJ))), aElementOf0(_34275, sdtpldt1(xI, xJ)), aElementOf0(_34464, sdtpldt1(xI, xJ)), aElement0(_34652)], clausify(m__)).
% 254.37/245.79 cnf(6, plain, [aIdeal0(_32863), -(aSet0(_32863))], clausify(mDefIdeal)).
% 254.37/245.79 cnf(7, plain, [-(aIdeal0(_32863)), aSet0(_32863), -(aElementOf0(10 ^ [_32863], _32863)), aElementOf0(sdtasdt0(11 ^ [_32863], 9 ^ [_32863]), _32863)], clausify(mDefIdeal)).
% 254.37/245.79 cnf(8, plain, [-(aElementOf0(_17737, _17868)), aElementOf0(_17670, _17803), _17670 = _17737, _17803 = _17868], theory(equality)).
% 254.37/245.79 cnf(9, plain, [-(aIdeal0(_32863)), aSet0(_32863), -(aElementOf0(9 ^ [_32863], _32863))], clausify(mDefIdeal)).
% 254.37/245.79 cnf(10, plain, [-(aIdeal0(_32863)), aSet0(_32863), -(aElementOf0(10 ^ [_32863], _32863)), -(aElement0(11 ^ [_32863]))], clausify(mDefIdeal)).
% 254.37/245.79 cnf(11, plain, [aIdeal0(sdtpldt1(xI, xJ))], clausify(m__)).
% 254.37/245.79 cnf(12, plain, [-(aIdeal0(_32863)), aSet0(_32863), aElementOf0(sdtpldt0(9 ^ [_32863], 10 ^ [_32863]), _32863), -(aElement0(11 ^ [_32863]))], clausify(mDefIdeal)).
% 254.37/245.79 cnf(13, plain, [-(aIdeal0(_32863)), aSet0(_32863), aElementOf0(sdtpldt0(9 ^ [_32863], 10 ^ [_32863]), _32863), aElementOf0(sdtasdt0(11 ^ [_32863], 9 ^ [_32863]), _32863)], clausify(mDefIdeal)).
% 254.37/245.79 cnf(14, plain, [-(aElement0(sz00))], clausify(mSortsC)).
% 254.37/245.79 cnf(15, plain, [aSet0(_30867), aSet0(_30763), _31061 = sdtpldt1(_30763, _30867), -(aSet0(_31061))], clausify(mDefSSum)).
% 254.37/245.79 cnf(16, plain, [-(aIdeal0(xI))], clausify(m__870)).
% 254.37/245.79
% 254.37/245.79 cnf('1',plain,[aIdeal0(sdtpldt1(xI, xJ))],start(11)).
% 254.37/245.79 cnf('1.1',plain,[-(aIdeal0(sdtpldt1(xI, xJ))), aSet0(sdtpldt1(xI, xJ)), -(aElementOf0(10 ^ [sdtpldt1(xI, xJ)], sdtpldt1(xI, xJ))), aElementOf0(sdtasdt0(11 ^ [sdtpldt1(xI, xJ)], 9 ^ [sdtpldt1(xI, xJ)]), sdtpldt1(xI, xJ))],extension(7,bind([[_32863], [sdtpldt1(xI, xJ)]]))).
% 254.37/245.79 cnf('1.1.1',plain,[-(aSet0(sdtpldt1(xI, xJ))), aSet0(xJ), aSet0(xI), sdtpldt1(xI, xJ) = sdtpldt1(xI, xJ)],extension(15,bind([[_31061, _30763, _30867], [sdtpldt1(xI, xJ), xI, xJ]]))).
% 254.37/245.79 cnf('1.1.1.1',plain,[-(aSet0(xJ)), aIdeal0(xJ)],extension(6,bind([[_32863], [xJ]]))).
% 254.37/245.79 cnf('1.1.1.1.1',plain,[-(aIdeal0(xJ))],extension(2)).
% 254.37/245.79 cnf('1.1.1.2',plain,[-(aSet0(xI)), aIdeal0(xI)],extension(6,bind([[_32863], [xI]]))).
% 254.37/245.79 cnf('1.1.1.2.1',plain,[-(aIdeal0(xI))],extension(16)).
% 254.37/245.79 cnf('1.1.1.3',plain,[-(sdtpldt1(xI, xJ) = sdtpldt1(xI, xJ))],extension(3,bind([[_16433], [sdtpldt1(xI, xJ)]]))).
% 254.37/245.79 cnf('1.1.2',plain,[aElementOf0(10 ^ [sdtpldt1(xI, xJ)], sdtpldt1(xI, xJ)), -(aElementOf0(sdtpldt0(9 ^ [sdtpldt1(xI, xJ)], 10 ^ [sdtpldt1(xI, xJ)]), sdtpldt1(xI, xJ))), aElementOf0(9 ^ [sdtpldt1(xI, xJ)], sdtpldt1(xI, xJ)), aElement0(smndt0(smndt0(sz00)))],extension(1,bind([[_34464, _34275, _34652], [10 ^ [sdtpldt1(xI, xJ)], 9 ^ [sdtpldt1(xI, xJ)], smndt0(smndt0(sz00))]]))).
% 254.37/245.79 cnf('1.1.2.1',plain,[aElementOf0(sdtpldt0(9 ^ [sdtpldt1(xI, xJ)], 10 ^ [sdtpldt1(xI, xJ)]), sdtpldt1(xI, xJ)), -(aElementOf0(sdtasdt0(11 ^ [sdtpldt1(xI, xJ)], 9 ^ [sdtpldt1(xI, xJ)]), sdtpldt1(xI, xJ))), aElementOf0(9 ^ [sdtpldt1(xI, xJ)], sdtpldt1(xI, xJ)), aElement0(11 ^ [sdtpldt1(xI, xJ)])],extension(5,bind([[_34464, _34275, _34652], [sdtpldt0(9 ^ [sdtpldt1(xI, xJ)], 10 ^ [sdtpldt1(xI, xJ)]), 9 ^ [sdtpldt1(xI, xJ)], 11 ^ [sdtpldt1(xI, xJ)]]]))).
% 254.37/245.79 cnf('1.1.2.1.1',plain,[aElementOf0(sdtasdt0(11 ^ [sdtpldt1(xI, xJ)], 9 ^ [sdtpldt1(xI, xJ)]), sdtpldt1(xI, xJ)), -(aIdeal0(sdtpldt1(xI, xJ))), aSet0(sdtpldt1(xI, xJ)), aElementOf0(sdtpldt0(9 ^ [sdtpldt1(xI, xJ)], 10 ^ [sdtpldt1(xI, xJ)]), sdtpldt1(xI, xJ))],extension(13,bind([[_32863], [sdtpldt1(xI, xJ)]]))).
% 254.37/245.79 cnf('1.1.2.1.1.1',plain,[aIdeal0(sdtpldt1(xI, xJ))],extension(11)).
% 254.37/245.79 cnf('1.1.2.1.1.2',plain,[-(aSet0(sdtpldt1(xI, xJ)))],lemmata('1.1')).
% 254.37/245.79 cnf('1.1.2.1.1.3',plain,[-(aElementOf0(sdtpldt0(9 ^ [sdtpldt1(xI, xJ)], 10 ^ [sdtpldt1(xI, xJ)]), sdtpldt1(xI, xJ)))],reduction('1.1.2')).
% 254.37/245.79 cnf('1.1.2.1.2',plain,[-(aElementOf0(9 ^ [sdtpldt1(xI, xJ)], sdtpldt1(xI, xJ))), -(aIdeal0(sdtpldt1(xI, xJ))), aSet0(sdtpldt1(xI, xJ))],extension(9,bind([[_32863], [sdtpldt1(xI, xJ)]]))).
% 254.37/245.79 cnf('1.1.2.1.2.1',plain,[aIdeal0(sdtpldt1(xI, xJ))],extension(11)).
% 254.37/245.79 cnf('1.1.2.1.2.2',plain,[-(aSet0(sdtpldt1(xI, xJ)))],lemmata('1.1')).
% 254.37/245.79 cnf('1.1.2.1.3',plain,[-(aElement0(11 ^ [sdtpldt1(xI, xJ)])), -(aIdeal0(sdtpldt1(xI, xJ))), aSet0(sdtpldt1(xI, xJ)), aElementOf0(sdtpldt0(9 ^ [sdtpldt1(xI, xJ)], 10 ^ [sdtpldt1(xI, xJ)]), sdtpldt1(xI, xJ))],extension(12,bind([[_32863], [sdtpldt1(xI, xJ)]]))).
% 254.37/245.79 cnf('1.1.2.1.3.1',plain,[aIdeal0(sdtpldt1(xI, xJ))],extension(11)).
% 254.37/245.79 cnf('1.1.2.1.3.2',plain,[-(aSet0(sdtpldt1(xI, xJ)))],lemmata('1.1')).
% 254.37/245.79 cnf('1.1.2.1.3.3',plain,[-(aElementOf0(sdtpldt0(9 ^ [sdtpldt1(xI, xJ)], 10 ^ [sdtpldt1(xI, xJ)]), sdtpldt1(xI, xJ)))],reduction('1.1.2')).
% 254.37/245.79 cnf('1.1.2.2',plain,[-(aElementOf0(9 ^ [sdtpldt1(xI, xJ)], sdtpldt1(xI, xJ))), aElementOf0(9 ^ [sdtpldt1(xI, xJ)], sdtpldt1(xI, xJ)), 9 ^ [sdtpldt1(xI, xJ)] = 9 ^ [sdtpldt1(xI, xJ)], sdtpldt1(xI, xJ) = sdtpldt1(xI, xJ)],extension(8,bind([[_17670, _17737, _17803, _17868], [9 ^ [sdtpldt1(xI, xJ)], 9 ^ [sdtpldt1(xI, xJ)], sdtpldt1(xI, xJ), sdtpldt1(xI, xJ)]]))).
% 254.37/245.79 cnf('1.1.2.2.1',plain,[-(aElementOf0(9 ^ [sdtpldt1(xI, xJ)], sdtpldt1(xI, xJ))), -(aIdeal0(sdtpldt1(xI, xJ))), aSet0(sdtpldt1(xI, xJ))],extension(9,bind([[_32863], [sdtpldt1(xI, xJ)]]))).
% 254.37/245.79 cnf('1.1.2.2.1.1',plain,[aIdeal0(sdtpldt1(xI, xJ))],extension(11)).
% 254.37/245.79 cnf('1.1.2.2.1.2',plain,[-(aSet0(sdtpldt1(xI, xJ)))],lemmata('1.1')).
% 254.37/245.79 cnf('1.1.2.2.2',plain,[-(9 ^ [sdtpldt1(xI, xJ)] = 9 ^ [sdtpldt1(xI, xJ)])],extension(3,bind([[_16433], [9 ^ [sdtpldt1(xI, xJ)]]]))).
% 254.37/245.79 cnf('1.1.2.2.3',plain,[-(sdtpldt1(xI, xJ) = sdtpldt1(xI, xJ))],extension(3,bind([[_16433], [sdtpldt1(xI, xJ)]]))).
% 254.37/245.79 cnf('1.1.2.3',plain,[-(aElement0(smndt0(smndt0(sz00)))), aElement0(smndt0(sz00))],extension(4,bind([[_22366], [smndt0(sz00)]]))).
% 254.37/245.79 cnf('1.1.2.3.1',plain,[-(aElement0(smndt0(sz00))), aElement0(sz00)],extension(4,bind([[_22366], [sz00]]))).
% 254.37/245.79 cnf('1.1.2.3.1.1',plain,[-(aElement0(sz00))],extension(14)).
% 254.37/245.79 cnf('1.1.3',plain,[-(aElementOf0(sdtasdt0(11 ^ [sdtpldt1(xI, xJ)], 9 ^ [sdtpldt1(xI, xJ)]), sdtpldt1(xI, xJ))), aElementOf0(9 ^ [sdtpldt1(xI, xJ)], sdtpldt1(xI, xJ)), aElementOf0(sdtpldt0(9 ^ [sdtpldt1(xI, xJ)], 9 ^ [sdtpldt1(xI, xJ)]), sdtpldt1(xI, xJ)), aElement0(11 ^ [sdtpldt1(xI, xJ)])],extension(5,bind([[_34275, _34464, _34652], [9 ^ [sdtpldt1(xI, xJ)], sdtpldt0(9 ^ [sdtpldt1(xI, xJ)], 9 ^ [sdtpldt1(xI, xJ)]), 11 ^ [sdtpldt1(xI, xJ)]]]))).
% 254.37/245.79 cnf('1.1.3.1',plain,[-(aElementOf0(9 ^ [sdtpldt1(xI, xJ)], sdtpldt1(xI, xJ))), aElementOf0(9 ^ [sdtpldt1(xI, xJ)], sdtpldt1(xI, xJ)), 9 ^ [sdtpldt1(xI, xJ)] = 9 ^ [sdtpldt1(xI, xJ)], sdtpldt1(xI, xJ) = sdtpldt1(xI, xJ)],extension(8,bind([[_17670, _17737, _17803, _17868], [9 ^ [sdtpldt1(xI, xJ)], 9 ^ [sdtpldt1(xI, xJ)], sdtpldt1(xI, xJ), sdtpldt1(xI, xJ)]]))).
% 254.37/245.79 cnf('1.1.3.1.1',plain,[-(aElementOf0(9 ^ [sdtpldt1(xI, xJ)], sdtpldt1(xI, xJ))), -(aIdeal0(sdtpldt1(xI, xJ))), aSet0(sdtpldt1(xI, xJ))],extension(9,bind([[_32863], [sdtpldt1(xI, xJ)]]))).
% 254.37/245.79 cnf('1.1.3.1.1.1',plain,[aIdeal0(sdtpldt1(xI, xJ))],extension(11)).
% 254.37/245.79 cnf('1.1.3.1.1.2',plain,[-(aSet0(sdtpldt1(xI, xJ)))],lemmata('1.1')).
% 254.37/245.79 cnf('1.1.3.1.2',plain,[-(9 ^ [sdtpldt1(xI, xJ)] = 9 ^ [sdtpldt1(xI, xJ)])],extension(3,bind([[_16433], [9 ^ [sdtpldt1(xI, xJ)]]]))).
% 254.37/245.79 cnf('1.1.3.1.3',plain,[-(sdtpldt1(xI, xJ) = sdtpldt1(xI, xJ))],extension(3,bind([[_16433], [sdtpldt1(xI, xJ)]]))).
% 254.37/245.79 cnf('1.1.3.2',plain,[-(aElementOf0(sdtpldt0(9 ^ [sdtpldt1(xI, xJ)], 9 ^ [sdtpldt1(xI, xJ)]), sdtpldt1(xI, xJ))), aElementOf0(9 ^ [sdtpldt1(xI, xJ)], sdtpldt1(xI, xJ)), aElementOf0(9 ^ [sdtpldt1(xI, xJ)], sdtpldt1(xI, xJ)), aElement0(smndt0(sz00))],extension(1,bind([[_34275, _34464, _34652], [9 ^ [sdtpldt1(xI, xJ)], 9 ^ [sdtpldt1(xI, xJ)], smndt0(sz00)]]))).
% 254.37/245.79 cnf('1.1.3.2.1',plain,[-(aElementOf0(9 ^ [sdtpldt1(xI, xJ)], sdtpldt1(xI, xJ))), -(aIdeal0(sdtpldt1(xI, xJ))), aSet0(sdtpldt1(xI, xJ))],extension(9,bind([[_32863], [sdtpldt1(xI, xJ)]]))).
% 254.37/245.79 cnf('1.1.3.2.1.1',plain,[aIdeal0(sdtpldt1(xI, xJ))],extension(11)).
% 254.37/245.79 cnf('1.1.3.2.1.2',plain,[-(aSet0(sdtpldt1(xI, xJ)))],lemmata('1.1')).
% 254.37/245.79 cnf('1.1.3.2.2',plain,[-(aElementOf0(9 ^ [sdtpldt1(xI, xJ)], sdtpldt1(xI, xJ))), -(aIdeal0(sdtpldt1(xI, xJ))), aSet0(sdtpldt1(xI, xJ))],extension(9,bind([[_32863], [sdtpldt1(xI, xJ)]]))).
% 254.37/245.79 cnf('1.1.3.2.2.1',plain,[aIdeal0(sdtpldt1(xI, xJ))],extension(11)).
% 254.37/245.79 cnf('1.1.3.2.2.2',plain,[-(aSet0(sdtpldt1(xI, xJ)))],lemmata('1.1')).
% 254.37/245.79 cnf('1.1.3.2.3',plain,[-(aElement0(smndt0(sz00))), aElement0(sz00)],extension(4,bind([[_22366], [sz00]]))).
% 254.37/245.79 cnf('1.1.3.2.3.1',plain,[-(aElement0(sz00))],extension(14)).
% 254.37/245.79 cnf('1.1.3.3',plain,[-(aElement0(11 ^ [sdtpldt1(xI, xJ)])), -(aIdeal0(sdtpldt1(xI, xJ))), aSet0(sdtpldt1(xI, xJ)), -(aElementOf0(10 ^ [sdtpldt1(xI, xJ)], sdtpldt1(xI, xJ)))],extension(10,bind([[_32863], [sdtpldt1(xI, xJ)]]))).
% 254.37/245.79 cnf('1.1.3.3.1',plain,[aIdeal0(sdtpldt1(xI, xJ))],extension(11)).
% 254.37/245.79 cnf('1.1.3.3.2',plain,[-(aSet0(sdtpldt1(xI, xJ)))],lemmata('1.1')).
% 254.37/245.79 cnf('1.1.3.3.3',plain,[aElementOf0(10 ^ [sdtpldt1(xI, xJ)], sdtpldt1(xI, xJ))],lemmata('1.1')).
% 254.37/245.79 %-----------------------------------------------------
% 254.37/245.79
% 254.37/245.80 % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------