TSTP Solution File: RNG091+1 by leanCoP---2.2
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- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : RNG091+1 : 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 20:33:48 EDT 2022
% Result : Theorem 113.52s 110.24s
% Output : Proof 113.60s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : RNG091+1 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.12 % Command : leancop_casc.sh %s %d
% 0.12/0.33 % Computer : n025.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 20:52:57 EDT 2022
% 0.12/0.33 % CPUTime :
% 113.52/110.24 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 113.52/110.25 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 113.60/110.25
% 113.60/110.25 %-----------------------------------------------------
% 113.60/110.25 fof(m__, conjecture, aElementOf0(sdtpldt0(xx, xy), sdtpldt1(xI, xJ)) & aElementOf0(sdtasdt0(xz, xx), sdtpldt1(xI, xJ)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', m__)).
% 113.60/110.25 fof(mDefSSum, definition, ! [_56873, _56876] : (aSet0(_56873) & aSet0(_56876) => ! [_56898] : (_56898 = sdtpldt1(_56873, _56876) <=> aSet0(_56898) & ! [_56926] : (aElementOf0(_56926, _56898) <=> ? [_56944, _56947] : (aElementOf0(_56944, _56873) & aElementOf0(_56947, _56876) & sdtpldt0(_56944, _56947) = _56926)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', mDefSSum)).
% 113.60/110.25 fof(m__870, hypothesis, aIdeal0(xI) & aIdeal0(xJ), file('/export/starexec/sandbox/benchmark/theBenchmark.p', m__870)).
% 113.60/110.25 fof(m__994, hypothesis, aElementOf0(sdtpldt0(xk, xm), xI) & aElementOf0(sdtpldt0(xl, xn), xJ), file('/export/starexec/sandbox/benchmark/theBenchmark.p', m__994)).
% 113.60/110.25 fof(m__1021, hypothesis, aElementOf0(sdtasdt0(xz, xk), xI) & aElementOf0(sdtasdt0(xz, xl), xJ), file('/export/starexec/sandbox/benchmark/theBenchmark.p', m__1021)).
% 113.60/110.25 fof(m__1061, hypothesis, sdtpldt0(xx, xy) = sdtpldt0(sdtpldt0(xk, xm), sdtpldt0(xl, xn)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', m__1061)).
% 113.60/110.25 fof(m__1098, hypothesis, sdtasdt0(xz, xx) = sdtpldt0(sdtasdt0(xz, xk), sdtasdt0(xz, xl)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', m__1098)).
% 113.60/110.25 fof(mDefIdeal, definition, ! [_57695] : (aIdeal0(_57695) <=> aSet0(_57695) & ! [_57717] : (aElementOf0(_57717, _57695) => ! [_57735] : (aElementOf0(_57735, _57695) => aElementOf0(sdtpldt0(_57717, _57735), _57695)) & ! [_57735] : (aElement0(_57735) => aElementOf0(sdtasdt0(_57735, _57717), _57695)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', mDefIdeal)).
% 113.60/110.25
% 113.60/110.25 cnf(1, plain, [aElementOf0(sdtpldt0(xx, xy), sdtpldt1(xI, xJ)), aElementOf0(sdtasdt0(xz, xx), sdtpldt1(xI, xJ))], clausify(m__)).
% 113.60/110.25 cnf(2, plain, [-(_15987 = _15987)], theory(equality)).
% 113.60/110.25 cnf(3, plain, [_16140 = _16185, -(_16185 = _16140)], theory(equality)).
% 113.60/110.25 cnf(4, plain, [aSet0(_30421), aSet0(_30317), _30615 = sdtpldt1(_30317, _30421), -(aElementOf0(_30841, _30615)), aElementOf0(_30978, _30317), aElementOf0(_31049, _30421), sdtpldt0(_30978, _31049) = _30841], clausify(mDefSSum)).
% 113.60/110.25 cnf(5, plain, [-(aIdeal0(xI))], clausify(m__870)).
% 113.60/110.25 cnf(6, plain, [-(aIdeal0(xJ))], clausify(m__870)).
% 113.60/110.25 cnf(7, plain, [-(aElementOf0(sdtpldt0(xk, xm), xI))], clausify(m__994)).
% 113.60/110.25 cnf(8, plain, [-(aElementOf0(sdtpldt0(xl, xn), xJ))], clausify(m__994)).
% 113.60/110.25 cnf(9, plain, [-(aElementOf0(sdtasdt0(xz, xk), xI))], clausify(m__1021)).
% 113.60/110.25 cnf(10, plain, [-(aElementOf0(sdtasdt0(xz, xl), xJ))], clausify(m__1021)).
% 113.60/110.25 cnf(11, plain, [-(sdtpldt0(xx, xy) = sdtpldt0(sdtpldt0(xk, xm), sdtpldt0(xl, xn)))], clausify(m__1061)).
% 113.60/110.25 cnf(12, plain, [-(sdtasdt0(xz, xx) = sdtpldt0(sdtasdt0(xz, xk), sdtasdt0(xz, xl)))], clausify(m__1098)).
% 113.60/110.25 cnf(13, plain, [aIdeal0(_32417), -(aSet0(_32417))], clausify(mDefIdeal)).
% 113.60/110.25
% 113.60/110.25 cnf('1',plain,[aElementOf0(sdtpldt0(xx, xy), sdtpldt1(xI, xJ)), aElementOf0(sdtasdt0(xz, xx), sdtpldt1(xI, xJ))],start(1)).
% 113.60/110.25 cnf('1.1',plain,[-(aElementOf0(sdtpldt0(xx, xy), sdtpldt1(xI, xJ))), aSet0(xJ), aSet0(xI), sdtpldt1(xI, xJ) = sdtpldt1(xI, xJ), aElementOf0(sdtpldt0(xk, xm), xI), aElementOf0(sdtpldt0(xl, xn), xJ), sdtpldt0(sdtpldt0(xk, xm), sdtpldt0(xl, xn)) = sdtpldt0(xx, xy)],extension(4,bind([[_30615, _30317, _30421, _30978, _31049, _30841], [sdtpldt1(xI, xJ), xI, xJ, sdtpldt0(xk, xm), sdtpldt0(xl, xn), sdtpldt0(xx, xy)]]))).
% 113.60/110.25 cnf('1.1.1',plain,[-(aSet0(xJ)), aIdeal0(xJ)],extension(13,bind([[_32417], [xJ]]))).
% 113.60/110.25 cnf('1.1.1.1',plain,[-(aIdeal0(xJ))],extension(6)).
% 113.60/110.25 cnf('1.1.2',plain,[-(aSet0(xI)), aIdeal0(xI)],extension(13,bind([[_32417], [xI]]))).
% 113.60/110.25 cnf('1.1.2.1',plain,[-(aIdeal0(xI))],extension(5)).
% 113.60/110.25 cnf('1.1.3',plain,[-(sdtpldt1(xI, xJ) = sdtpldt1(xI, xJ))],extension(2,bind([[_15987], [sdtpldt1(xI, xJ)]]))).
% 113.60/110.25 cnf('1.1.4',plain,[-(aElementOf0(sdtpldt0(xk, xm), xI))],extension(7)).
% 113.60/110.25 cnf('1.1.5',plain,[-(aElementOf0(sdtpldt0(xl, xn), xJ))],extension(8)).
% 113.60/110.25 cnf('1.1.6',plain,[-(sdtpldt0(sdtpldt0(xk, xm), sdtpldt0(xl, xn)) = sdtpldt0(xx, xy)), sdtpldt0(xx, xy) = sdtpldt0(sdtpldt0(xk, xm), sdtpldt0(xl, xn))],extension(3,bind([[_16140, _16185], [sdtpldt0(xx, xy), sdtpldt0(sdtpldt0(xk, xm), sdtpldt0(xl, xn))]]))).
% 113.60/110.25 cnf('1.1.6.1',plain,[-(sdtpldt0(xx, xy) = sdtpldt0(sdtpldt0(xk, xm), sdtpldt0(xl, xn)))],extension(11)).
% 113.60/110.25 cnf('1.2',plain,[-(aElementOf0(sdtasdt0(xz, xx), sdtpldt1(xI, xJ))), aSet0(xJ), aSet0(xI), sdtpldt1(xI, xJ) = sdtpldt1(xI, xJ), aElementOf0(sdtasdt0(xz, xk), xI), aElementOf0(sdtasdt0(xz, xl), xJ), sdtpldt0(sdtasdt0(xz, xk), sdtasdt0(xz, xl)) = sdtasdt0(xz, xx)],extension(4,bind([[_30615, _30317, _30421, _30978, _31049, _30841], [sdtpldt1(xI, xJ), xI, xJ, sdtasdt0(xz, xk), sdtasdt0(xz, xl), sdtasdt0(xz, xx)]]))).
% 113.60/110.25 cnf('1.2.1',plain,[-(aSet0(xJ)), aIdeal0(xJ)],extension(13,bind([[_32417], [xJ]]))).
% 113.60/110.25 cnf('1.2.1.1',plain,[-(aIdeal0(xJ))],extension(6)).
% 113.60/110.25 cnf('1.2.2',plain,[-(aSet0(xI)), aIdeal0(xI)],extension(13,bind([[_32417], [xI]]))).
% 113.60/110.25 cnf('1.2.2.1',plain,[-(aIdeal0(xI))],extension(5)).
% 113.60/110.25 cnf('1.2.3',plain,[-(sdtpldt1(xI, xJ) = sdtpldt1(xI, xJ))],extension(2,bind([[_15987], [sdtpldt1(xI, xJ)]]))).
% 113.60/110.25 cnf('1.2.4',plain,[-(aElementOf0(sdtasdt0(xz, xk), xI))],extension(9)).
% 113.60/110.25 cnf('1.2.5',plain,[-(aElementOf0(sdtasdt0(xz, xl), xJ))],extension(10)).
% 113.60/110.25 cnf('1.2.6',plain,[-(sdtpldt0(sdtasdt0(xz, xk), sdtasdt0(xz, xl)) = sdtasdt0(xz, xx)), sdtasdt0(xz, xx) = sdtpldt0(sdtasdt0(xz, xk), sdtasdt0(xz, xl))],extension(3,bind([[_16140, _16185], [sdtasdt0(xz, xx), sdtpldt0(sdtasdt0(xz, xk), sdtasdt0(xz, xl))]]))).
% 113.60/110.25 cnf('1.2.6.1',plain,[-(sdtasdt0(xz, xx) = sdtpldt0(sdtasdt0(xz, xk), sdtasdt0(xz, xl)))],extension(12)).
% 113.60/110.25 %-----------------------------------------------------
% 113.60/110.26
% 113.60/110.26 % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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