%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : RNG091+2 : 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 20:33:48 EDT 2022
% Result : Theorem 114.36s 110.37s
% Output : Proof 114.42s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : RNG091+2 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.13 % Command : leancop_casc.sh %s %d
% 0.13/0.34 % Computer : n028.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Mon May 30 06:04:49 EDT 2022
% 0.13/0.34 % CPUTime :
% 114.36/110.37 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 114.42/110.37 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 114.42/110.38
% 114.42/110.38 %-----------------------------------------------------
% 114.42/110.38 fof(m__, conjecture, (? [_64697, _64700] : (aElementOf0(_64697, xI) & aElementOf0(_64700, xJ) & sdtpldt0(_64697, _64700) = sdtpldt0(xx, xy)) | aElementOf0(sdtpldt0(xx, xy), sdtpldt1(xI, xJ))) & (? [_64697, _64700] : (aElementOf0(_64697, xI) & aElementOf0(_64700, xJ) & sdtpldt0(_64697, _64700) = sdtasdt0(xz, xx)) | aElementOf0(sdtasdt0(xz, xx), sdtpldt1(xI, xJ))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', m__)).
% 114.42/110.38 fof(mDefIdeal, definition, ! [_65267] : (aIdeal0(_65267) <=> aSet0(_65267) & ! [_65289] : (aElementOf0(_65289, _65267) => ! [_65307] : (aElementOf0(_65307, _65267) => aElementOf0(sdtpldt0(_65289, _65307), _65267)) & ! [_65307] : (aElement0(_65307) => aElementOf0(sdtasdt0(_65307, _65289), _65267)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', mDefIdeal)).
% 114.42/110.38 fof(m__901, hypothesis, ? [_65662, _65665] : (aElementOf0(_65662, xI) & aElementOf0(_65665, xJ) & sdtpldt0(_65662, _65665) = xx) & aElementOf0(xx, sdtpldt1(xI, xJ)) & ? [_65662, _65665] : (aElementOf0(_65662, xI) & aElementOf0(_65665, xJ) & sdtpldt0(_65662, _65665) = xy) & aElementOf0(xy, sdtpldt1(xI, xJ)) & aElement0(xz), file('/export/starexec/sandbox/benchmark/theBenchmark.p', m__901)).
% 114.42/110.38 fof(m__934, hypothesis, aElementOf0(xk, xI) & aElementOf0(xl, xJ) & xx = sdtpldt0(xk, xl), file('/export/starexec/sandbox/benchmark/theBenchmark.p', m__934)).
% 114.42/110.38 fof(m__967, hypothesis, aElementOf0(xm, xI) & aElementOf0(xn, xJ) & xy = sdtpldt0(xm, xn), file('/export/starexec/sandbox/benchmark/theBenchmark.p', m__967)).
% 114.42/110.38 fof(m__1061, hypothesis, sdtpldt0(xx, xy) = sdtpldt0(sdtpldt0(xk, xm), sdtpldt0(xl, xn)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', m__1061)).
% 114.42/110.38 fof(m__1098, hypothesis, sdtasdt0(xz, xx) = sdtpldt0(sdtasdt0(xz, xk), sdtasdt0(xz, xl)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', m__1098)).
% 114.42/110.38 fof(m__870, hypothesis, aSet0(xI) & ! [_66426] : (aElementOf0(_66426, xI) => ! [_66444] : (aElementOf0(_66444, xI) => aElementOf0(sdtpldt0(_66426, _66444), xI)) & ! [_66444] : (aElement0(_66444) => aElementOf0(sdtasdt0(_66444, _66426), xI))) & aIdeal0(xI) & aSet0(xJ) & ! [_66426] : (aElementOf0(_66426, xJ) => ! [_66444] : (aElementOf0(_66444, xJ) => aElementOf0(sdtpldt0(_66426, _66444), xJ)) & ! [_66444] : (aElement0(_66444) => aElementOf0(sdtasdt0(_66444, _66426), xJ))) & aIdeal0(xJ), file('/export/starexec/sandbox/benchmark/theBenchmark.p', m__870)).
% 114.42/110.38
% 114.42/110.38 cnf(1, plain, [-(17 ^ []), aElementOf0(_41744, xI), aElementOf0(_41799, xJ), sdtpldt0(_41744, _41799) = sdtasdt0(xz, xx)], clausify(m__)).
% 114.42/110.38 cnf(2, plain, [-(16 ^ []), aElementOf0(_41202, xI), aElementOf0(_41257, xJ), sdtpldt0(_41202, _41257) = sdtpldt0(xx, xy)], clausify(m__)).
% 114.42/110.38 cnf(3, plain, [16 ^ [], 17 ^ []], clausify(m__)).
% 114.42/110.38 cnf(4, plain, [_19213 = _19258, -(_19258 = _19213)], theory(equality)).
% 114.42/110.38 cnf(5, plain, [aIdeal0(_35490), aElementOf0(_35654, _35490), aElementOf0(_35800, _35490), -(aElementOf0(sdtpldt0(_35654, _35800), _35490))], clausify(mDefIdeal)).
% 114.42/110.38 cnf(6, plain, [aIdeal0(_35490), aElementOf0(_35654, _35490), aElement0(_36018), -(aElementOf0(sdtasdt0(_36018, _35654), _35490))], clausify(mDefIdeal)).
% 114.42/110.38 cnf(7, plain, [-(aElement0(xz))], clausify(m__901)).
% 114.42/110.38 cnf(8, plain, [-(aElementOf0(xk, xI))], clausify(m__934)).
% 114.42/110.38 cnf(9, plain, [-(aElementOf0(xl, xJ))], clausify(m__934)).
% 114.42/110.38 cnf(10, plain, [-(aElementOf0(xm, xI))], clausify(m__967)).
% 114.42/110.38 cnf(11, plain, [-(aElementOf0(xn, xJ))], clausify(m__967)).
% 114.42/110.38 cnf(12, plain, [-(sdtpldt0(xx, xy) = sdtpldt0(sdtpldt0(xk, xm), sdtpldt0(xl, xn)))], clausify(m__1061)).
% 114.42/110.38 cnf(13, plain, [-(sdtasdt0(xz, xx) = sdtpldt0(sdtasdt0(xz, xk), sdtasdt0(xz, xl)))], clausify(m__1098)).
% 114.42/110.38 cnf(14, plain, [-(aIdeal0(xI))], clausify(m__870)).
% 114.42/110.38 cnf(15, plain, [-(aIdeal0(xJ))], clausify(m__870)).
% 114.42/110.38
% 114.42/110.38 cnf('1',plain,[16 ^ [], 17 ^ []],start(3)).
% 114.42/110.38 cnf('1.1',plain,[-(16 ^ []), aElementOf0(sdtpldt0(xk, xm), xI), aElementOf0(sdtpldt0(xl, xn), xJ), sdtpldt0(sdtpldt0(xk, xm), sdtpldt0(xl, xn)) = sdtpldt0(xx, xy)],extension(2,bind([[_41202, _41257], [sdtpldt0(xk, xm), sdtpldt0(xl, xn)]]))).
% 114.42/110.38 cnf('1.1.1',plain,[-(aElementOf0(sdtpldt0(xk, xm), xI)), aIdeal0(xI), aElementOf0(xk, xI), aElementOf0(xm, xI)],extension(5,bind([[_35654, _35800, _35490], [xk, xm, xI]]))).
% 114.42/110.38 cnf('1.1.1.1',plain,[-(aIdeal0(xI))],extension(14)).
% 114.42/110.38 cnf('1.1.1.2',plain,[-(aElementOf0(xk, xI))],extension(8)).
% 114.42/110.38 cnf('1.1.1.3',plain,[-(aElementOf0(xm, xI))],extension(10)).
% 114.42/110.38 cnf('1.1.2',plain,[-(aElementOf0(sdtpldt0(xl, xn), xJ)), aIdeal0(xJ), aElementOf0(xl, xJ), aElementOf0(xn, xJ)],extension(5,bind([[_35654, _35800, _35490], [xl, xn, xJ]]))).
% 114.42/110.38 cnf('1.1.2.1',plain,[-(aIdeal0(xJ))],extension(15)).
% 114.42/110.38 cnf('1.1.2.2',plain,[-(aElementOf0(xl, xJ))],extension(9)).
% 114.42/110.38 cnf('1.1.2.3',plain,[-(aElementOf0(xn, xJ))],extension(11)).
% 114.42/110.38 cnf('1.1.3',plain,[-(sdtpldt0(sdtpldt0(xk, xm), sdtpldt0(xl, xn)) = sdtpldt0(xx, xy)), sdtpldt0(xx, xy) = sdtpldt0(sdtpldt0(xk, xm), sdtpldt0(xl, xn))],extension(4,bind([[_19213, _19258], [sdtpldt0(xx, xy), sdtpldt0(sdtpldt0(xk, xm), sdtpldt0(xl, xn))]]))).
% 114.42/110.38 cnf('1.1.3.1',plain,[-(sdtpldt0(xx, xy) = sdtpldt0(sdtpldt0(xk, xm), sdtpldt0(xl, xn)))],extension(12)).
% 114.42/110.38 cnf('1.2',plain,[-(17 ^ []), aElementOf0(sdtasdt0(xz, xk), xI), aElementOf0(sdtasdt0(xz, xl), xJ), sdtpldt0(sdtasdt0(xz, xk), sdtasdt0(xz, xl)) = sdtasdt0(xz, xx)],extension(1,bind([[_41744, _41799], [sdtasdt0(xz, xk), sdtasdt0(xz, xl)]]))).
% 114.42/110.38 cnf('1.2.1',plain,[-(aElementOf0(sdtasdt0(xz, xk), xI)), aIdeal0(xI), aElementOf0(xk, xI), aElement0(xz)],extension(6,bind([[_35654, _35490, _36018], [xk, xI, xz]]))).
% 114.42/110.38 cnf('1.2.1.1',plain,[-(aIdeal0(xI))],extension(14)).
% 114.42/110.38 cnf('1.2.1.2',plain,[-(aElementOf0(xk, xI))],extension(8)).
% 114.42/110.38 cnf('1.2.1.3',plain,[-(aElement0(xz))],extension(7)).
% 114.42/110.38 cnf('1.2.2',plain,[-(aElementOf0(sdtasdt0(xz, xl), xJ)), aIdeal0(xJ), aElementOf0(xl, xJ), aElement0(xz)],extension(6,bind([[_35654, _35490, _36018], [xl, xJ, xz]]))).
% 114.42/110.38 cnf('1.2.2.1',plain,[-(aIdeal0(xJ))],extension(15)).
% 114.42/110.38 cnf('1.2.2.2',plain,[-(aElementOf0(xl, xJ))],extension(9)).
% 114.42/110.38 cnf('1.2.2.3',plain,[-(aElement0(xz))],extension(7)).
% 114.42/110.38 cnf('1.2.3',plain,[-(sdtpldt0(sdtasdt0(xz, xk), sdtasdt0(xz, xl)) = sdtasdt0(xz, xx)), sdtasdt0(xz, xx) = sdtpldt0(sdtasdt0(xz, xk), sdtasdt0(xz, xl))],extension(4,bind([[_19213, _19258], [sdtasdt0(xz, xx), sdtpldt0(sdtasdt0(xz, xk), sdtasdt0(xz, xl))]]))).
% 114.42/110.38 cnf('1.2.3.1',plain,[-(sdtasdt0(xz, xx) = sdtpldt0(sdtasdt0(xz, xk), sdtasdt0(xz, xl)))],extension(13)).
% 114.42/110.38 %-----------------------------------------------------
% 114.42/110.38
% 114.42/110.38 % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------