TSTP Solution File: NUM582+3 by leanCoP---2.2
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- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : NUM582+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n008.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 11:42:14 EDT 2022
% Result : Theorem 29.49s 29.40s
% Output : Proof 29.49s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : NUM582+3 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.12 % Command : leancop_casc.sh %s %d
% 0.12/0.33 % Computer : n008.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Thu Jul 7 11:34:38 EDT 2022
% 0.12/0.33 % CPUTime :
% 29.49/29.40 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 29.49/29.40 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 29.49/29.41
% 29.49/29.41 %-----------------------------------------------------
% 29.49/29.41 fof(m__3754, hypothesis, ! [_178409, _178412] : (aElementOf0(_178409, szNzAzT0) & aElementOf0(_178412, szNzAzT0) => sdtlseqdt0(_178412, _178409) => ! [_178450] : (aElementOf0(_178450, sdtlpdtrp0(xN, _178409)) => aElementOf0(_178450, sdtlpdtrp0(xN, _178412))) & aSubsetOf0(sdtlpdtrp0(xN, _178409), sdtlpdtrp0(xN, _178412))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', m__3754)).
% 29.49/29.41 fof(m__, conjecture, ! [_178963] : (aElementOf0(_178963, sdtlpdtrp0(xN, xi)) => aElementOf0(_178963, xS)) | aSubsetOf0(sdtlpdtrp0(xN, xi), xS), file('/export/starexec/sandbox/benchmark/theBenchmark.p', m__)).
% 29.49/29.41 fof(mZeroNum, axiom, aElementOf0(sz00, szNzAzT0), file('/export/starexec/sandbox/benchmark/theBenchmark.p', mZeroNum)).
% 29.49/29.41 fof(mZeroLess, axiom, ! [_179294] : (aElementOf0(_179294, szNzAzT0) => sdtlseqdt0(sz00, _179294)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', mZeroLess)).
% 29.49/29.41 fof(m__3623, hypothesis, aFunction0(xN) & szDzozmdt0(xN) = szNzAzT0 & sdtlpdtrp0(xN, sz00) = xS & ! [_179522] : (aElementOf0(_179522, szNzAzT0) => (aSet0(sdtlpdtrp0(xN, _179522)) & ! [_179554] : (aElementOf0(_179554, sdtlpdtrp0(xN, _179522)) => aElementOf0(_179554, szNzAzT0)) | aSubsetOf0(sdtlpdtrp0(xN, _179522), szNzAzT0)) & isCountable0(sdtlpdtrp0(xN, _179522)) => aElementOf0(szmzizndt0(sdtlpdtrp0(xN, _179522)), sdtlpdtrp0(xN, _179522)) & ! [_179554] : (aElementOf0(_179554, sdtlpdtrp0(xN, _179522)) => sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN, _179522)), _179554)) & aSet0(sdtmndt0(sdtlpdtrp0(xN, _179522), szmzizndt0(sdtlpdtrp0(xN, _179522)))) & ! [_179554] : (aElementOf0(_179554, sdtmndt0(sdtlpdtrp0(xN, _179522), szmzizndt0(sdtlpdtrp0(xN, _179522)))) <=> aElement0(_179554) & aElementOf0(_179554, sdtlpdtrp0(xN, _179522)) & (! _179554) = szmzizndt0(sdtlpdtrp0(xN, _179522))) & aSet0(sdtlpdtrp0(xN, szszuzczcdt0(_179522))) & ! [_179554] : (aElementOf0(_179554, sdtlpdtrp0(xN, szszuzczcdt0(_179522))) => aElementOf0(_179554, sdtmndt0(sdtlpdtrp0(xN, _179522), szmzizndt0(sdtlpdtrp0(xN, _179522))))) & aSubsetOf0(sdtlpdtrp0(xN, szszuzczcdt0(_179522)), sdtmndt0(sdtlpdtrp0(xN, _179522), szmzizndt0(sdtlpdtrp0(xN, _179522)))) & isCountable0(sdtlpdtrp0(xN, szszuzczcdt0(_179522)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', m__3623)).
% 29.49/29.41 fof(m__3989, hypothesis, aElementOf0(xi, szNzAzT0), file('/export/starexec/sandbox/benchmark/theBenchmark.p', m__3989)).
% 29.49/29.41
% 29.49/29.41 cnf(1, plain, [-(111 ^ [_121702, _121616]), aElementOf0(_121989, sdtlpdtrp0(xN, _121616)), -(aElementOf0(_121989, sdtlpdtrp0(xN, _121702)))], clausify(m__3754)).
% 29.49/29.41 cnf(2, plain, [-(aElementOf0(118 ^ [], sdtlpdtrp0(xN, xi)))], clausify(m__)).
% 29.49/29.41 cnf(3, plain, [aElementOf0(118 ^ [], xS)], clausify(m__)).
% 29.49/29.41 cnf(4, plain, [-(_60803 = _60803)], theory(equality)).
% 29.49/29.41 cnf(5, plain, [-(aElementOf0(_62107, _62238)), aElementOf0(_62040, _62173), _62040 = _62107, _62173 = _62238], theory(equality)).
% 29.49/29.41 cnf(6, plain, [-(aElementOf0(sz00, szNzAzT0))], clausify(mZeroNum)).
% 29.49/29.41 cnf(7, plain, [aElementOf0(_84844, szNzAzT0), -(sdtlseqdt0(sz00, _84844))], clausify(mZeroLess)).
% 29.49/29.41 cnf(8, plain, [-(sdtlpdtrp0(xN, sz00) = xS)], clausify(m__3623)).
% 29.49/29.41 cnf(9, plain, [aElementOf0(_121702, szNzAzT0), aElementOf0(_121616, szNzAzT0), sdtlseqdt0(_121702, _121616), 111 ^ [_121702, _121616]], clausify(m__3754)).
% 29.49/29.41 cnf(10, plain, [-(aElementOf0(xi, szNzAzT0))], clausify(m__3989)).
% 29.49/29.41
% 29.49/29.41 cnf('1',plain,[-(aElementOf0(118 ^ [], sdtlpdtrp0(xN, xi)))],start(2)).
% 29.49/29.41 cnf('1.1',plain,[aElementOf0(118 ^ [], sdtlpdtrp0(xN, xi)), -(111 ^ [sz00, xi]), -(aElementOf0(118 ^ [], sdtlpdtrp0(xN, sz00)))],extension(1,bind([[_121616, _121989, _121702], [xi, 118 ^ [], sz00]]))).
% 29.49/29.41 cnf('1.1.1',plain,[111 ^ [sz00, xi], aElementOf0(sz00, szNzAzT0), aElementOf0(xi, szNzAzT0), sdtlseqdt0(sz00, xi)],extension(9,bind([[_121702, _121616], [sz00, xi]]))).
% 29.49/29.41 cnf('1.1.1.1',plain,[-(aElementOf0(sz00, szNzAzT0))],extension(6)).
% 29.49/29.41 cnf('1.1.1.2',plain,[-(aElementOf0(xi, szNzAzT0))],extension(10)).
% 29.49/29.41 cnf('1.1.1.3',plain,[-(sdtlseqdt0(sz00, xi)), aElementOf0(xi, szNzAzT0)],extension(7,bind([[_84844], [xi]]))).
% 29.49/29.41 cnf('1.1.1.3.1',plain,[-(aElementOf0(xi, szNzAzT0))],extension(10)).
% 29.49/29.41 cnf('1.1.2',plain,[aElementOf0(118 ^ [], sdtlpdtrp0(xN, sz00)), -(aElementOf0(118 ^ [], xS)), 118 ^ [] = 118 ^ [], sdtlpdtrp0(xN, sz00) = xS],extension(5,bind([[_62040, _62107, _62173, _62238], [118 ^ [], 118 ^ [], sdtlpdtrp0(xN, sz00), xS]]))).
% 29.49/29.41 cnf('1.1.2.1',plain,[aElementOf0(118 ^ [], xS)],extension(3)).
% 29.49/29.41 cnf('1.1.2.2',plain,[-(118 ^ [] = 118 ^ [])],extension(4,bind([[_60803], [118 ^ []]]))).
% 29.49/29.41 cnf('1.1.2.3',plain,[-(sdtlpdtrp0(xN, sz00) = xS)],extension(8)).
% 29.49/29.41 %-----------------------------------------------------
% 29.49/29.42
% 29.49/29.42 % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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