TSTP Solution File: RNG088+2 by leanCoP---2.2
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- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : RNG088+2 : 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 20:33:47 EDT 2022
% Result : Theorem 0.31s 1.41s
% Output : Proof 0.31s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : RNG088+2 : TPTP v8.1.0. Released v4.0.0.
% 0.13/0.13 % Command : leancop_casc.sh %s %d
% 0.13/0.34 % Computer : n027.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 08:27:46 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.31/1.41 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.31/1.42 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.31/1.43
% 0.31/1.43 %-----------------------------------------------------
% 0.31/1.43 fof(m__, conjecture, aElementOf0(sdtpldt0(xk, xm), xI) & aElementOf0(sdtpldt0(xl, xn), xJ), file('/export/starexec/sandbox/benchmark/theBenchmark.p', m__)).
% 0.31/1.43 fof(mDefIdeal, definition, ! [_56739] : (aIdeal0(_56739) <=> aSet0(_56739) & ! [_56761] : (aElementOf0(_56761, _56739) => ! [_56779] : (aElementOf0(_56779, _56739) => aElementOf0(sdtpldt0(_56761, _56779), _56739)) & ! [_56779] : (aElement0(_56779) => aElementOf0(sdtasdt0(_56779, _56761), _56739)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', mDefIdeal)).
% 0.31/1.43 fof(m__934, hypothesis, aElementOf0(xk, xI) & aElementOf0(xl, xJ) & xx = sdtpldt0(xk, xl), file('/export/starexec/sandbox/benchmark/theBenchmark.p', m__934)).
% 0.31/1.43 fof(m__967, hypothesis, aElementOf0(xm, xI) & aElementOf0(xn, xJ) & xy = sdtpldt0(xm, xn), file('/export/starexec/sandbox/benchmark/theBenchmark.p', m__967)).
% 0.31/1.43 fof(m__870, hypothesis, aSet0(xI) & ! [_57306] : (aElementOf0(_57306, xI) => ! [_57324] : (aElementOf0(_57324, xI) => aElementOf0(sdtpldt0(_57306, _57324), xI)) & ! [_57324] : (aElement0(_57324) => aElementOf0(sdtasdt0(_57324, _57306), xI))) & aIdeal0(xI) & aSet0(xJ) & ! [_57306] : (aElementOf0(_57306, xJ) => ! [_57324] : (aElementOf0(_57324, xJ) => aElementOf0(sdtpldt0(_57306, _57324), xJ)) & ! [_57324] : (aElement0(_57324) => aElementOf0(sdtasdt0(_57324, _57306), xJ))) & aIdeal0(xJ), file('/export/starexec/sandbox/benchmark/theBenchmark.p', m__870)).
% 0.31/1.43
% 0.31/1.43 cnf(1, plain, [aElementOf0(sdtpldt0(xk, xm), xI), aElementOf0(sdtpldt0(xl, xn), xJ)], clausify(m__)).
% 0.31/1.43 cnf(2, plain, [aIdeal0(_33709), aElementOf0(_33873, _33709), aElementOf0(_34019, _33709), -(aElementOf0(sdtpldt0(_33873, _34019), _33709))], clausify(mDefIdeal)).
% 0.31/1.43 cnf(3, plain, [-(aElementOf0(xk, xI))], clausify(m__934)).
% 0.31/1.43 cnf(4, plain, [-(aElementOf0(xl, xJ))], clausify(m__934)).
% 0.31/1.43 cnf(5, plain, [-(aElementOf0(xm, xI))], clausify(m__967)).
% 0.31/1.43 cnf(6, plain, [-(aElementOf0(xn, xJ))], clausify(m__967)).
% 0.31/1.43 cnf(7, plain, [-(aIdeal0(xI))], clausify(m__870)).
% 0.31/1.43 cnf(8, plain, [-(aIdeal0(xJ))], clausify(m__870)).
% 0.31/1.43
% 0.31/1.43 cnf('1',plain,[aElementOf0(sdtpldt0(xk, xm), xI), aElementOf0(sdtpldt0(xl, xn), xJ)],start(1)).
% 0.31/1.43 cnf('1.1',plain,[-(aElementOf0(sdtpldt0(xk, xm), xI)), aIdeal0(xI), aElementOf0(xk, xI), aElementOf0(xm, xI)],extension(2,bind([[_33873, _34019, _33709], [xk, xm, xI]]))).
% 0.31/1.43 cnf('1.1.1',plain,[-(aIdeal0(xI))],extension(7)).
% 0.31/1.43 cnf('1.1.2',plain,[-(aElementOf0(xk, xI))],extension(3)).
% 0.31/1.43 cnf('1.1.3',plain,[-(aElementOf0(xm, xI))],extension(5)).
% 0.31/1.43 cnf('1.2',plain,[-(aElementOf0(sdtpldt0(xl, xn), xJ)), aIdeal0(xJ), aElementOf0(xl, xJ), aElementOf0(xn, xJ)],extension(2,bind([[_33873, _34019, _33709], [xl, xn, xJ]]))).
% 0.31/1.43 cnf('1.2.1',plain,[-(aIdeal0(xJ))],extension(8)).
% 0.31/1.43 cnf('1.2.2',plain,[-(aElementOf0(xl, xJ))],extension(4)).
% 0.31/1.43 cnf('1.2.3',plain,[-(aElementOf0(xn, xJ))],extension(6)).
% 0.31/1.43 %-----------------------------------------------------
% 0.31/1.43
% 0.31/1.43 % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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