%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : NUM544+2 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n007.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 11:41:53 EDT 2022
% Result : Theorem 0.73s 1.44s
% Output : Proof 0.73s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.13 % Problem : NUM544+2 : TPTP v8.1.0. Released v4.0.0.
% 0.13/0.14 % Command : leancop_casc.sh %s %d
% 0.15/0.35 % Computer : n007.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 600
% 0.15/0.35 % DateTime : Tue Jul 5 02:44:27 EDT 2022
% 0.15/0.36 % CPUTime :
% 0.73/1.44 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.73/1.44 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.73/1.45
% 0.73/1.45 %-----------------------------------------------------
% 0.73/1.45 fof(m__, conjecture, ~ (~ ? [_92793] : aElementOf0(_92793, xS) | xS = slcrc0) => aElementOf0(szmzazxdt0(xS), xS) & ! [_92793] : (aElementOf0(_92793, xS) => sdtlseqdt0(_92793, szmzazxdt0(xS))) => aSet0(slbdtrb0(szszuzczcdt0(szmzazxdt0(xS)))) & ! [_92793] : (aElementOf0(_92793, slbdtrb0(szszuzczcdt0(szmzazxdt0(xS)))) <=> aElementOf0(_92793, szNzAzT0) & sdtlseqdt0(szszuzczcdt0(_92793), szszuzczcdt0(szmzazxdt0(xS)))) => ! [_92793] : (aElementOf0(_92793, xS) => aElementOf0(_92793, slbdtrb0(szszuzczcdt0(szmzazxdt0(xS))))) | aSubsetOf0(xS, slbdtrb0(szszuzczcdt0(szmzazxdt0(xS)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', m__)).
% 0.73/1.45 fof(mDefSub, definition, ! [_93520] : (aSet0(_93520) => ! [_93535] : (aSubsetOf0(_93535, _93520) <=> aSet0(_93535) & ! [_93560] : (aElementOf0(_93560, _93535) => aElementOf0(_93560, _93520)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', mDefSub)).
% 0.73/1.45 fof(mNATSet, axiom, aSet0(szNzAzT0) & isCountable0(szNzAzT0), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', mNATSet)).
% 0.73/1.45 fof(mSuccLess, axiom, ! [_93879, _93882] : (aElementOf0(_93879, szNzAzT0) & aElementOf0(_93882, szNzAzT0) => (sdtlseqdt0(_93879, _93882) <=> sdtlseqdt0(szszuzczcdt0(_93879), szszuzczcdt0(_93882)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', mSuccLess)).
% 0.73/1.45 fof(m__1986, hypothesis, aSet0(xS) & ! [_94145] : (aElementOf0(_94145, xS) => aElementOf0(_94145, szNzAzT0)) & aSubsetOf0(xS, szNzAzT0) & isFinite0(xS), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', m__1986)).
% 0.73/1.45
% 0.73/1.45 cnf(1, plain, [-(aElementOf0(szmzazxdt0(xS), xS))], clausify(m__)).
% 0.73/1.45 cnf(2, plain, [aElementOf0(_63048, xS), -(sdtlseqdt0(_63048, szmzazxdt0(xS)))], clausify(m__)).
% 0.73/1.45 cnf(3, plain, [-(aElementOf0(12 ^ [], xS))], clausify(m__)).
% 0.73/1.45 cnf(4, plain, [aElementOf0(12 ^ [], slbdtrb0(szszuzczcdt0(szmzazxdt0(xS))))], clausify(m__)).
% 0.73/1.45 cnf(5, plain, [-(aElementOf0(_63345, slbdtrb0(szszuzczcdt0(szmzazxdt0(xS))))), aElementOf0(_63345, szNzAzT0), sdtlseqdt0(szszuzczcdt0(_63345), szszuzczcdt0(szmzazxdt0(xS)))], clausify(m__)).
% 0.73/1.45 cnf(6, plain, [aSet0(_39959), aSubsetOf0(_40063, _39959), aElementOf0(_40220, _40063), -(aElementOf0(_40220, _39959))], clausify(mDefSub)).
% 0.73/1.45 cnf(7, plain, [-(aSet0(szNzAzT0))], clausify(mNATSet)).
% 0.73/1.45 cnf(8, plain, [aElementOf0(_50075, szNzAzT0), aElementOf0(_50014, szNzAzT0), sdtlseqdt0(_50014, _50075), -(sdtlseqdt0(szszuzczcdt0(_50014), szszuzczcdt0(_50075)))], clausify(mSuccLess)).
% 0.73/1.45 cnf(9, plain, [-(aSubsetOf0(xS, szNzAzT0))], clausify(m__1986)).
% 0.73/1.45 cnf(10, plain, [aElementOf0(_61555, xS), -(aElementOf0(_61555, szNzAzT0))], clausify(m__1986)).
% 0.73/1.45
% 0.73/1.45 cnf('1',plain,[aElementOf0(12 ^ [], slbdtrb0(szszuzczcdt0(szmzazxdt0(xS))))],start(4)).
% 0.73/1.45 cnf('1.1',plain,[-(aElementOf0(12 ^ [], slbdtrb0(szszuzczcdt0(szmzazxdt0(xS))))), aElementOf0(12 ^ [], szNzAzT0), sdtlseqdt0(szszuzczcdt0(12 ^ []), szszuzczcdt0(szmzazxdt0(xS)))],extension(5,bind([[_63345], [12 ^ []]]))).
% 0.73/1.45 cnf('1.1.1',plain,[-(aElementOf0(12 ^ [], szNzAzT0)), aElementOf0(12 ^ [], xS)],extension(10,bind([[_61555], [12 ^ []]]))).
% 0.73/1.45 cnf('1.1.1.1',plain,[-(aElementOf0(12 ^ [], xS))],extension(3)).
% 0.73/1.45 cnf('1.1.2',plain,[-(sdtlseqdt0(szszuzczcdt0(12 ^ []), szszuzczcdt0(szmzazxdt0(xS)))), aElementOf0(szmzazxdt0(xS), szNzAzT0), aElementOf0(12 ^ [], szNzAzT0), sdtlseqdt0(12 ^ [], szmzazxdt0(xS))],extension(8,bind([[_50014, _50075], [12 ^ [], szmzazxdt0(xS)]]))).
% 0.73/1.45 cnf('1.1.2.1',plain,[-(aElementOf0(szmzazxdt0(xS), szNzAzT0)), aSet0(szNzAzT0), aSubsetOf0(xS, szNzAzT0), aElementOf0(szmzazxdt0(xS), xS)],extension(6,bind([[_39959, _40220, _40063], [szNzAzT0, szmzazxdt0(xS), xS]]))).
% 0.73/1.45 cnf('1.1.2.1.1',plain,[-(aSet0(szNzAzT0))],extension(7)).
% 0.73/1.45 cnf('1.1.2.1.2',plain,[-(aSubsetOf0(xS, szNzAzT0))],extension(9)).
% 0.73/1.45 cnf('1.1.2.1.3',plain,[-(aElementOf0(szmzazxdt0(xS), xS))],extension(1)).
% 0.73/1.45 cnf('1.1.2.2',plain,[-(aElementOf0(12 ^ [], szNzAzT0))],lemmata('1.1')).
% 0.73/1.45 cnf('1.1.2.3',plain,[-(sdtlseqdt0(12 ^ [], szmzazxdt0(xS))), aElementOf0(12 ^ [], xS)],extension(2,bind([[_63048], [12 ^ []]]))).
% 0.73/1.45 cnf('1.1.2.3.1',plain,[-(aElementOf0(12 ^ [], xS))],extension(3)).
% 0.73/1.45 %-----------------------------------------------------
% 0.73/1.46
% 0.73/1.46 % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------