TSTP Solution File: NUM478+2 by leanCoP---2.2
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- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : NUM478+2 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n004.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 11:41:12 EDT 2022
% Result : Theorem 71.16s 68.95s
% Output : Proof 71.16s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : NUM478+2 : TPTP v8.1.0. Released v4.0.0.
% 0.11/0.13 % Command : leancop_casc.sh %s %d
% 0.13/0.34 % Computer : n004.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 : Tue Jul 5 10:17:52 EDT 2022
% 0.13/0.34 % CPUTime :
% 71.16/68.95 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 71.16/68.96 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 71.16/68.96
% 71.16/68.96 %-----------------------------------------------------
% 71.16/68.96 fof(m__, conjecture, aNaturalNumber0(sdtsldt0(xm, xl)) & xm = sdtasdt0(xl, sdtsldt0(xm, xl)) => sdtasdt0(xn, xm) = sdtasdt0(xl, sdtasdt0(xn, sdtsldt0(xm, xl))) | sdtasdt0(xn, sdtsldt0(xm, xl)) = sdtsldt0(sdtasdt0(xn, xm), xl), file('/export/starexec/sandbox/benchmark/theBenchmark.p', m__)).
% 71.16/68.96 fof(mMulComm, axiom, ! [_72434, _72437] : (aNaturalNumber0(_72434) & aNaturalNumber0(_72437) => sdtasdt0(_72434, _72437) = sdtasdt0(_72437, _72434)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', mMulComm)).
% 71.16/68.96 fof(mMulAsso, axiom, ! [_72622, _72625, _72628] : (aNaturalNumber0(_72622) & aNaturalNumber0(_72625) & aNaturalNumber0(_72628) => sdtasdt0(sdtasdt0(_72622, _72625), _72628) = sdtasdt0(_72622, sdtasdt0(_72625, _72628))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', mMulAsso)).
% 71.16/68.96 fof(m__1524, hypothesis, aNaturalNumber0(xl) & aNaturalNumber0(xm), file('/export/starexec/sandbox/benchmark/theBenchmark.p', m__1524)).
% 71.16/68.96 fof(m__1553, hypothesis, aNaturalNumber0(xn), file('/export/starexec/sandbox/benchmark/theBenchmark.p', m__1553)).
% 71.16/68.96
% 71.16/68.96 cnf(1, plain, [-(aNaturalNumber0(sdtsldt0(xm, xl)))], clausify(m__)).
% 71.16/68.96 cnf(2, plain, [-(xm = sdtasdt0(xl, sdtsldt0(xm, xl)))], clausify(m__)).
% 71.16/68.96 cnf(3, plain, [sdtasdt0(xn, xm) = sdtasdt0(xl, sdtasdt0(xn, sdtsldt0(xm, xl)))], clausify(m__)).
% 71.16/68.96 cnf(4, plain, [-(sdtasdt0(_26344, _26477) = sdtasdt0(_26411, _26542)), _26344 = _26411, _26477 = _26542], theory(equality)).
% 71.16/68.96 cnf(5, plain, [-(_23185 = _23185)], theory(equality)).
% 71.16/68.96 cnf(6, plain, [-(_23617 = _23728), _23617 = _23673, _23673 = _23728], theory(equality)).
% 71.16/68.96 cnf(7, plain, [-(aNaturalNumber0(_24142)), _24093 = _24142, aNaturalNumber0(_24093)], theory(equality)).
% 71.16/68.96 cnf(8, plain, [-(sdtasdt0(_31693, _31748) = sdtasdt0(_31748, _31693)), aNaturalNumber0(_31693), aNaturalNumber0(_31748)], clausify(mMulComm)).
% 71.16/68.96 cnf(9, plain, [-(sdtasdt0(sdtasdt0(_32129, _32200), _32270) = sdtasdt0(_32129, sdtasdt0(_32200, _32270))), aNaturalNumber0(_32129), aNaturalNumber0(_32200), aNaturalNumber0(_32270)], clausify(mMulAsso)).
% 71.16/68.96 cnf(10, plain, [-(aNaturalNumber0(xl))], clausify(m__1524)).
% 71.16/68.96 cnf(11, plain, [-(aNaturalNumber0(xm))], clausify(m__1524)).
% 71.16/68.96 cnf(12, plain, [-(aNaturalNumber0(xn))], clausify(m__1553)).
% 71.16/68.96
% 71.16/68.96 cnf('1',plain,[-(aNaturalNumber0(sdtsldt0(xm, xl)))],start(1)).
% 71.16/68.96 cnf('1.1',plain,[aNaturalNumber0(sdtsldt0(xm, xl)), -(sdtasdt0(sdtasdt0(xl, sdtsldt0(xm, xl)), xn) = sdtasdt0(xl, sdtasdt0(sdtsldt0(xm, xl), xn))), aNaturalNumber0(xl), aNaturalNumber0(xn)],extension(9,bind([[_32200, _32129, _32270], [sdtsldt0(xm, xl), xl, xn]]))).
% 71.16/68.96 cnf('1.1.1',plain,[sdtasdt0(sdtasdt0(xl, sdtsldt0(xm, xl)), xn) = sdtasdt0(xl, sdtasdt0(sdtsldt0(xm, xl), xn)), -(sdtasdt0(xn, xm) = sdtasdt0(xl, sdtasdt0(sdtsldt0(xm, xl), xn))), sdtasdt0(xn, xm) = sdtasdt0(sdtasdt0(xl, sdtsldt0(xm, xl)), xn)],extension(6,bind([[_23728, _23617, _23673], [sdtasdt0(xl, sdtasdt0(sdtsldt0(xm, xl), xn)), sdtasdt0(xn, xm), sdtasdt0(sdtasdt0(xl, sdtsldt0(xm, xl)), xn)]]))).
% 71.16/68.96 cnf('1.1.1.1',plain,[sdtasdt0(xn, xm) = sdtasdt0(xl, sdtasdt0(sdtsldt0(xm, xl), xn)), -(sdtasdt0(xn, xm) = sdtasdt0(xl, sdtasdt0(xn, sdtsldt0(xm, xl)))), sdtasdt0(xl, sdtasdt0(sdtsldt0(xm, xl), xn)) = sdtasdt0(xl, sdtasdt0(xn, sdtsldt0(xm, xl)))],extension(6,bind([[_23617, _23673, _23728], [sdtasdt0(xn, xm), sdtasdt0(xl, sdtasdt0(sdtsldt0(xm, xl), xn)), sdtasdt0(xl, sdtasdt0(xn, sdtsldt0(xm, xl)))]]))).
% 71.16/68.96 cnf('1.1.1.1.1',plain,[sdtasdt0(xn, xm) = sdtasdt0(xl, sdtasdt0(xn, sdtsldt0(xm, xl)))],extension(3)).
% 71.16/68.96 cnf('1.1.1.1.2',plain,[-(sdtasdt0(xl, sdtasdt0(sdtsldt0(xm, xl), xn)) = sdtasdt0(xl, sdtasdt0(xn, sdtsldt0(xm, xl)))), xl = xl, sdtasdt0(sdtsldt0(xm, xl), xn) = sdtasdt0(xn, sdtsldt0(xm, xl))],extension(4,bind([[_26344, _26411, _26477, _26542], [xl, xl, sdtasdt0(sdtsldt0(xm, xl), xn), sdtasdt0(xn, sdtsldt0(xm, xl))]]))).
% 71.16/68.96 cnf('1.1.1.1.2.1',plain,[-(xl = xl)],extension(5,bind([[_23185], [xl]]))).
% 71.16/68.96 cnf('1.1.1.1.2.2',plain,[-(sdtasdt0(sdtsldt0(xm, xl), xn) = sdtasdt0(xn, sdtsldt0(xm, xl))), aNaturalNumber0(sdtsldt0(xm, xl)), aNaturalNumber0(xn)],extension(8,bind([[_31693, _31748], [sdtsldt0(xm, xl), xn]]))).
% 71.16/68.96 cnf('1.1.1.1.2.2.1',plain,[-(aNaturalNumber0(sdtsldt0(xm, xl)))],extension(1)).
% 71.16/68.96 cnf('1.1.1.1.2.2.2',plain,[-(aNaturalNumber0(xn))],extension(12)).
% 71.16/68.96 cnf('1.1.1.2',plain,[-(sdtasdt0(xn, xm) = sdtasdt0(sdtasdt0(xl, sdtsldt0(xm, xl)), xn)), sdtasdt0(xn, xm) = sdtasdt0(xn, sdtasdt0(xl, sdtsldt0(xm, xl))), sdtasdt0(xn, sdtasdt0(xl, sdtsldt0(xm, xl))) = sdtasdt0(sdtasdt0(xl, sdtsldt0(xm, xl)), xn)],extension(6,bind([[_23617, _23673, _23728], [sdtasdt0(xn, xm), sdtasdt0(xn, sdtasdt0(xl, sdtsldt0(xm, xl))), sdtasdt0(sdtasdt0(xl, sdtsldt0(xm, xl)), xn)]]))).
% 71.16/68.96 cnf('1.1.1.2.1',plain,[-(sdtasdt0(xn, xm) = sdtasdt0(xn, sdtasdt0(xl, sdtsldt0(xm, xl)))), xn = xn, xm = sdtasdt0(xl, sdtsldt0(xm, xl))],extension(4,bind([[_26344, _26411, _26477, _26542], [xn, xn, xm, sdtasdt0(xl, sdtsldt0(xm, xl))]]))).
% 71.16/68.96 cnf('1.1.1.2.1.1',plain,[-(xn = xn)],extension(5,bind([[_23185], [xn]]))).
% 71.16/68.96 cnf('1.1.1.2.1.2',plain,[-(xm = sdtasdt0(xl, sdtsldt0(xm, xl)))],extension(2)).
% 71.16/68.96 cnf('1.1.1.2.2',plain,[-(sdtasdt0(xn, sdtasdt0(xl, sdtsldt0(xm, xl))) = sdtasdt0(sdtasdt0(xl, sdtsldt0(xm, xl)), xn)), aNaturalNumber0(xn), aNaturalNumber0(sdtasdt0(xl, sdtsldt0(xm, xl)))],extension(8,bind([[_31693, _31748], [xn, sdtasdt0(xl, sdtsldt0(xm, xl))]]))).
% 71.16/68.96 cnf('1.1.1.2.2.1',plain,[-(aNaturalNumber0(xn))],extension(12)).
% 71.16/68.96 cnf('1.1.1.2.2.2',plain,[-(aNaturalNumber0(sdtasdt0(xl, sdtsldt0(xm, xl)))), xm = sdtasdt0(xl, sdtsldt0(xm, xl)), aNaturalNumber0(xm)],extension(7,bind([[_24142, _24093], [sdtasdt0(xl, sdtsldt0(xm, xl)), xm]]))).
% 71.16/68.96 cnf('1.1.1.2.2.2.1',plain,[-(xm = sdtasdt0(xl, sdtsldt0(xm, xl)))],extension(2)).
% 71.16/68.96 cnf('1.1.1.2.2.2.2',plain,[-(aNaturalNumber0(xm))],extension(11)).
% 71.16/68.96 cnf('1.1.2',plain,[-(aNaturalNumber0(xl))],extension(10)).
% 71.16/68.96 cnf('1.1.3',plain,[-(aNaturalNumber0(xn))],extension(12)).
% 71.16/68.96 %-----------------------------------------------------
% 71.16/68.97
% 71.16/68.97 % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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