TSTP Solution File: NUM551+3 by leanCoP---2.2
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- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : NUM551+3 : 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 11:41:57 EDT 2022
% Result : Theorem 1.20s 1.39s
% Output : Proof 1.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : NUM551+3 : TPTP v8.1.0. Released v4.0.0.
% 0.04/0.13 % 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 : Tue Jul 5 16:23:57 EDT 2022
% 0.13/0.34 % CPUTime :
% 1.20/1.39 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.20/1.40 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.20/1.40
% 1.20/1.40 %-----------------------------------------------------
% 1.20/1.40 fof(m__, conjecture, ? [_119229] : (aElement0(_119229) & aElementOf0(_119229, xQ)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', m__)).
% 1.20/1.40 fof(mEOfElem, axiom, ! [_119387] : (aSet0(_119387) => ! [_119402] : (aElementOf0(_119402, _119387) => aElement0(_119402))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', mEOfElem)).
% 1.20/1.40 fof(mDefEmp, definition, ! [_119566] : (_119566 = slcrc0 <=> aSet0(_119566) & ~ ? [_119589] : aElementOf0(_119589, _119566)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', mDefEmp)).
% 1.20/1.40 fof(mDefDiff, definition, ! [_119800, _119803] : (aSet0(_119800) & aElement0(_119803) => ! [_119825] : (_119825 = sdtmndt0(_119800, _119803) <=> aSet0(_119825) & ! [_119853] : (aElementOf0(_119853, _119825) <=> aElement0(_119853) & aElementOf0(_119853, _119800) & (! _119853) = _119803))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', mDefDiff)).
% 1.20/1.40 fof(mCardS, axiom, ! [_120204] : (aSet0(_120204) => aElement0(sbrdtbr0(_120204))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', mCardS)).
% 1.20/1.40 fof(mSegZero, axiom, slbdtrb0(sz00) = slcrc0, file('/export/starexec/sandbox/benchmark/theBenchmark.p', mSegZero)).
% 1.20/1.40 fof(m__2291, hypothesis, aSet0(xQ) & isFinite0(xQ) & sbrdtbr0(xQ) = xk, file('/export/starexec/sandbox/benchmark/theBenchmark.p', m__2291)).
% 1.20/1.40 fof(m__2313, hypothesis, ~ (~ ? [_120504] : aElementOf0(_120504, xQ) | xQ = slcrc0), file('/export/starexec/sandbox/benchmark/theBenchmark.p', m__2313)).
% 1.20/1.40
% 1.20/1.40 cnf(1, plain, [aElement0(_80165), aElementOf0(_80165, xQ)], clausify(m__)).
% 1.20/1.40 cnf(2, plain, [-(_37379 = _37379)], theory(equality)).
% 1.20/1.40 cnf(3, plain, [aSet0(_46315), aElementOf0(_46402, _46315), -(aElement0(_46402))], clausify(mEOfElem)).
% 1.20/1.40 cnf(4, plain, [_46947 = slcrc0, -(aSet0(_46947))], clausify(mDefEmp)).
% 1.20/1.40 cnf(5, plain, [_46947 = slcrc0, aElementOf0(_47105, _46947)], clausify(mDefEmp)).
% 1.20/1.40 cnf(6, plain, [-(_46947 = slcrc0), aSet0(_46947), -(aElementOf0(1 ^ [_46947], _46947))], clausify(mDefEmp)).
% 1.20/1.40 cnf(7, plain, [aElement0(_51775), aSet0(_51683), _51957 = sdtmndt0(_51683, _51775), aElementOf0(_52171, _51957), -(aElement0(_52171))], clausify(mDefDiff)).
% 1.20/1.40 cnf(8, plain, [aElement0(_51775), aSet0(_51683), -(_51957 = sdtmndt0(_51683, _51775)), aSet0(_51957), -(aElementOf0(4 ^ [_51957, _51775, _51683], _51957)), -(aElementOf0(4 ^ [_51957, _51775, _51683], _51683))], clausify(mDefDiff)).
% 1.20/1.40 cnf(9, plain, [aSet0(_61985), -(aElement0(sbrdtbr0(_61985)))], clausify(mCardS)).
% 1.20/1.40 cnf(10, plain, [-(slbdtrb0(sz00) = slcrc0)], clausify(mSegZero)).
% 1.20/1.40 cnf(11, plain, [-(aSet0(xQ))], clausify(m__2291)).
% 1.20/1.40 cnf(12, plain, [xQ = slcrc0], clausify(m__2313)).
% 1.20/1.40
% 1.20/1.40 cnf('1',plain,[slcrc0 = slcrc0, aElementOf0(4 ^ [xQ, sbrdtbr0(slbdtrb0(sz00)), slcrc0], slcrc0)],start(5,bind([[_47105, _46947], [4 ^ [xQ, sbrdtbr0(slbdtrb0(sz00)), slcrc0], slcrc0]]))).
% 1.20/1.40 cnf('1.1',plain,[-(slcrc0 = slcrc0)],extension(2,bind([[_37379], [slcrc0]]))).
% 1.20/1.40 cnf('1.2',plain,[-(aElementOf0(4 ^ [xQ, sbrdtbr0(slbdtrb0(sz00)), slcrc0], slcrc0)), aElement0(sbrdtbr0(slbdtrb0(sz00))), aSet0(slcrc0), -(xQ = sdtmndt0(slcrc0, sbrdtbr0(slbdtrb0(sz00)))), aSet0(xQ), -(aElementOf0(4 ^ [xQ, sbrdtbr0(slbdtrb0(sz00)), slcrc0], xQ))],extension(8,bind([[_51775, _51683, _51957], [sbrdtbr0(slbdtrb0(sz00)), slcrc0, xQ]]))).
% 1.20/1.40 cnf('1.2.1',plain,[-(aElement0(sbrdtbr0(slbdtrb0(sz00)))), aSet0(slbdtrb0(sz00))],extension(9,bind([[_61985], [slbdtrb0(sz00)]]))).
% 1.20/1.40 cnf('1.2.1.1',plain,[-(aSet0(slbdtrb0(sz00))), slbdtrb0(sz00) = slcrc0],extension(4,bind([[_46947], [slbdtrb0(sz00)]]))).
% 1.20/1.40 cnf('1.2.1.1.1',plain,[-(slbdtrb0(sz00) = slcrc0)],extension(10)).
% 1.20/1.40 cnf('1.2.2',plain,[-(aSet0(slcrc0)), slcrc0 = slcrc0],extension(4,bind([[_46947], [slcrc0]]))).
% 1.20/1.40 cnf('1.2.2.1',plain,[-(slcrc0 = slcrc0)],extension(2,bind([[_37379], [slcrc0]]))).
% 1.20/1.40 cnf('1.2.3',plain,[xQ = sdtmndt0(slcrc0, sbrdtbr0(slbdtrb0(sz00))), aElement0(sbrdtbr0(slbdtrb0(sz00))), aSet0(slcrc0), aElementOf0(1 ^ [xQ], xQ), -(aElement0(1 ^ [xQ]))],extension(7,bind([[_51775, _51683, _51957, _52171], [sbrdtbr0(slbdtrb0(sz00)), slcrc0, xQ, 1 ^ [xQ]]]))).
% 1.20/1.40 cnf('1.2.3.1',plain,[-(aElement0(sbrdtbr0(slbdtrb0(sz00))))],lemmata('1.2')).
% 1.20/1.40 cnf('1.2.3.2',plain,[-(aSet0(slcrc0))],lemmata('1.2')).
% 1.20/1.40 cnf('1.2.3.3',plain,[-(aElementOf0(1 ^ [xQ], xQ)), -(xQ = slcrc0), aSet0(xQ)],extension(6,bind([[_46947], [xQ]]))).
% 1.20/1.40 cnf('1.2.3.3.1',plain,[xQ = slcrc0],extension(12)).
% 1.20/1.40 cnf('1.2.3.3.2',plain,[-(aSet0(xQ))],extension(11)).
% 1.20/1.40 cnf('1.2.3.4',plain,[aElement0(1 ^ [xQ]), aElementOf0(1 ^ [xQ], xQ)],extension(1,bind([[_80165], [1 ^ [xQ]]]))).
% 1.20/1.40 cnf('1.2.3.4.1',plain,[-(aElementOf0(1 ^ [xQ], xQ))],lemmata('1.2.3')).
% 1.20/1.40 cnf('1.2.4',plain,[-(aSet0(xQ))],extension(11)).
% 1.20/1.40 cnf('1.2.5',plain,[aElementOf0(4 ^ [xQ, sbrdtbr0(slbdtrb0(sz00)), slcrc0], xQ), aSet0(xQ), -(aElement0(4 ^ [xQ, sbrdtbr0(slbdtrb0(sz00)), slcrc0]))],extension(3,bind([[_46315, _46402], [xQ, 4 ^ [xQ, sbrdtbr0(slbdtrb0(sz00)), slcrc0]]]))).
% 1.20/1.40 cnf('1.2.5.1',plain,[-(aSet0(xQ))],extension(11)).
% 1.20/1.40 cnf('1.2.5.2',plain,[aElement0(4 ^ [xQ, sbrdtbr0(slbdtrb0(sz00)), slcrc0]), aElementOf0(4 ^ [xQ, sbrdtbr0(slbdtrb0(sz00)), slcrc0], xQ)],extension(1,bind([[_80165], [4 ^ [xQ, sbrdtbr0(slbdtrb0(sz00)), slcrc0]]]))).
% 1.20/1.40 cnf('1.2.5.2.1',plain,[-(aElementOf0(4 ^ [xQ, sbrdtbr0(slbdtrb0(sz00)), slcrc0], xQ))],reduction('1.2')).
% 1.20/1.40 %-----------------------------------------------------
% 1.20/1.41
% 1.20/1.41 % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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