TSTP Solution File: NUM578+3 by leanCoP---2.2
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- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : NUM578+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n015.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 11:42:12 EDT 2022
% Result : Theorem 31.84s 31.50s
% Output : Proof 31.84s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : NUM578+3 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.12 % Command : leancop_casc.sh %s %d
% 0.12/0.33 % Computer : n015.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 19:00:35 EDT 2022
% 0.12/0.33 % CPUTime :
% 31.84/31.50 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 31.84/31.51 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 31.84/31.51
% 31.84/31.51 %-----------------------------------------------------
% 31.84/31.51 fof(m__, conjecture, ! [_177717, _177720] : (aElementOf0(_177717, szNzAzT0) & aElementOf0(_177720, szNzAzT0) => sdtlseqdt0(szszuzczcdt0(_177717), _177720) => aElementOf0(szmzizndt0(sdtlpdtrp0(xN, _177717)), sdtlpdtrp0(xN, _177717)) & ! [_177790] : (aElementOf0(_177790, sdtlpdtrp0(xN, _177717)) => sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN, _177717)), _177790)) & aSet0(sdtmndt0(sdtlpdtrp0(xN, _177717), szmzizndt0(sdtlpdtrp0(xN, _177717)))) & ! [_177790] : (aElementOf0(_177790, sdtmndt0(sdtlpdtrp0(xN, _177717), szmzizndt0(sdtlpdtrp0(xN, _177717)))) <=> aElement0(_177790) & aElementOf0(_177790, sdtlpdtrp0(xN, _177717)) & (! _177790) = szmzizndt0(sdtlpdtrp0(xN, _177717))) & ! [_177790] : (aElementOf0(_177790, sdtlpdtrp0(xN, _177720)) => aElementOf0(_177790, sdtmndt0(sdtlpdtrp0(xN, _177717), szmzizndt0(sdtlpdtrp0(xN, _177717))))) & aSubsetOf0(sdtlpdtrp0(xN, _177720), sdtmndt0(sdtlpdtrp0(xN, _177717), szmzizndt0(sdtlpdtrp0(xN, _177717)))) & ~ (aElementOf0(szmzizndt0(sdtlpdtrp0(xN, _177720)), sdtlpdtrp0(xN, _177720)) & ! [_177790] : (aElementOf0(_177790, sdtlpdtrp0(xN, _177720)) => sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN, _177720)), _177790)) => aElementOf0(szmzizndt0(sdtlpdtrp0(xN, _177720)), sdtlpdtrp0(xN, _177717)) & ! [_177790] : (aElementOf0(_177790, sdtlpdtrp0(xN, _177717)) => sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN, _177720)), _177790)) | szmzizndt0(sdtlpdtrp0(xN, _177720)) = szmzizndt0(sdtlpdtrp0(xN, _177717)))) => (! xi) = xj => ~ (aElementOf0(szmzizndt0(sdtlpdtrp0(xN, xi)), sdtlpdtrp0(xN, xi)) & ! [_177717] : (aElementOf0(_177717, sdtlpdtrp0(xN, xi)) => sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN, xi)), _177717)) & aElementOf0(szmzizndt0(sdtlpdtrp0(xN, xi)), sdtlpdtrp0(xN, xj)) & ! [_177717] : (aElementOf0(_177717, sdtlpdtrp0(xN, xj)) => sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN, xi)), _177717)) & szmzizndt0(sdtlpdtrp0(xN, xi)) = szmzizndt0(sdtlpdtrp0(xN, xj))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', m__)).
% 31.84/31.51 fof(m__3856, hypothesis, aElementOf0(xi, szNzAzT0) & aElementOf0(xj, szNzAzT0), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', m__3856)).
% 31.84/31.51 fof(m__3856_02, hypothesis, (! xi) = xj => sdtlseqdt0(szszuzczcdt0(xj), xi) | sdtlseqdt0(szszuzczcdt0(xi), xj), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', m__3856_02)).
% 31.84/31.51
% 31.84/31.51 cnf(1, plain, [-(115 ^ [_123738, _123434]), szmzizndt0(sdtlpdtrp0(xN, _123738)) = szmzizndt0(sdtlpdtrp0(xN, _123434))], clausify(m__)).
% 31.84/31.51 cnf(2, plain, [xi = xj], clausify(m__)).
% 31.84/31.51 cnf(3, plain, [-(szmzizndt0(sdtlpdtrp0(xN, xi)) = szmzizndt0(sdtlpdtrp0(xN, xj)))], clausify(m__)).
% 31.84/31.51 cnf(4, plain, [aElementOf0(_123738, szNzAzT0), aElementOf0(_123434, szNzAzT0), sdtlseqdt0(szszuzczcdt0(_123434), _123738), 115 ^ [_123738, _123434]], clausify(m__)).
% 31.84/31.51 cnf(5, plain, [_60076 = _60121, -(_60121 = _60076)], theory(equality)).
% 31.84/31.51 cnf(6, plain, [-(aElementOf0(xi, szNzAzT0))], clausify(m__3856)).
% 31.84/31.51 cnf(7, plain, [-(aElementOf0(xj, szNzAzT0))], clausify(m__3856)).
% 31.84/31.51 cnf(8, plain, [-(xi = xj), -(sdtlseqdt0(szszuzczcdt0(xj), xi)), -(sdtlseqdt0(szszuzczcdt0(xi), xj))], clausify(m__3856_02)).
% 31.84/31.51
% 31.84/31.51 cnf('1',plain,[xi = xj],start(2)).
% 31.84/31.51 cnf('1.1',plain,[-(xi = xj), -(sdtlseqdt0(szszuzczcdt0(xj), xi)), -(sdtlseqdt0(szszuzczcdt0(xi), xj))],extension(8)).
% 31.84/31.51 cnf('1.1.1',plain,[sdtlseqdt0(szszuzczcdt0(xj), xi), aElementOf0(xi, szNzAzT0), aElementOf0(xj, szNzAzT0), 115 ^ [xi, xj]],extension(4,bind([[_123738, _123434], [xi, xj]]))).
% 31.84/31.51 cnf('1.1.1.1',plain,[-(aElementOf0(xi, szNzAzT0))],extension(6)).
% 31.84/31.51 cnf('1.1.1.2',plain,[-(aElementOf0(xj, szNzAzT0))],extension(7)).
% 31.84/31.51 cnf('1.1.1.3',plain,[-(115 ^ [xi, xj]), szmzizndt0(sdtlpdtrp0(xN, xi)) = szmzizndt0(sdtlpdtrp0(xN, xj))],extension(1,bind([[_123738, _123434], [xi, xj]]))).
% 31.84/31.51 cnf('1.1.1.3.1',plain,[-(szmzizndt0(sdtlpdtrp0(xN, xi)) = szmzizndt0(sdtlpdtrp0(xN, xj)))],extension(3)).
% 31.84/31.51 cnf('1.1.2',plain,[sdtlseqdt0(szszuzczcdt0(xi), xj), aElementOf0(xj, szNzAzT0), aElementOf0(xi, szNzAzT0), 115 ^ [xj, xi]],extension(4,bind([[_123738, _123434], [xj, xi]]))).
% 31.84/31.51 cnf('1.1.2.1',plain,[-(aElementOf0(xj, szNzAzT0))],extension(7)).
% 31.84/31.51 cnf('1.1.2.2',plain,[-(aElementOf0(xi, szNzAzT0))],extension(6)).
% 31.84/31.51 cnf('1.1.2.3',plain,[-(115 ^ [xj, xi]), szmzizndt0(sdtlpdtrp0(xN, xj)) = szmzizndt0(sdtlpdtrp0(xN, xi))],extension(1,bind([[_123738, _123434], [xj, xi]]))).
% 31.84/31.51 cnf('1.1.2.3.1',plain,[-(szmzizndt0(sdtlpdtrp0(xN, xj)) = szmzizndt0(sdtlpdtrp0(xN, xi))), szmzizndt0(sdtlpdtrp0(xN, xi)) = szmzizndt0(sdtlpdtrp0(xN, xj))],extension(5,bind([[_60076, _60121], [szmzizndt0(sdtlpdtrp0(xN, xi)), szmzizndt0(sdtlpdtrp0(xN, xj))]]))).
% 31.84/31.51 cnf('1.1.2.3.1.1',plain,[-(szmzizndt0(sdtlpdtrp0(xN, xi)) = szmzizndt0(sdtlpdtrp0(xN, xj)))],extension(3)).
% 31.84/31.51 %-----------------------------------------------------
% 31.84/31.52
% 31.84/31.52 % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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