TSTP Solution File: NUM441+6 by leanCoP---2.2
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- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : NUM441+6 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n011.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 11:40:51 EDT 2022
% Result : Theorem 177.60s 171.57s
% Output : Proof 177.60s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14 % Problem : NUM441+6 : TPTP v8.1.0. Released v4.0.0.
% 0.08/0.15 % Command : leancop_casc.sh %s %d
% 0.15/0.37 % Computer : n011.cluster.edu
% 0.15/0.37 % Model : x86_64 x86_64
% 0.15/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37 % Memory : 8042.1875MB
% 0.15/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37 % CPULimit : 300
% 0.15/0.37 % WCLimit : 600
% 0.15/0.37 % DateTime : Thu Jul 7 07:34:23 EDT 2022
% 0.15/0.37 % CPUTime :
% 177.60/171.57 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 177.60/171.58 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 177.60/171.58
% 177.60/171.58 %-----------------------------------------------------
% 177.60/171.58 fof(m__, conjecture, aSet0(sdtbsmnsldt0(xA, xB)) & ! [_127680] : (aElementOf0(_127680, sdtbsmnsldt0(xA, xB)) <=> aInteger0(_127680) & (aElementOf0(_127680, xA) | aElementOf0(_127680, xB))) => (aSet0(stldt0(sdtbsmnsldt0(xA, xB))) & ! [_127680] : (aElementOf0(_127680, stldt0(sdtbsmnsldt0(xA, xB))) <=> aInteger0(_127680) & ~ aElementOf0(_127680, sdtbsmnsldt0(xA, xB))) => ! [_127680] : (aElementOf0(_127680, stldt0(sdtbsmnsldt0(xA, xB))) => ? [_127832] : (aInteger0(_127832) & (! _127832) = sz00 & (aSet0(szAzrzSzezqlpdtcmdtrp0(_127680, _127832)) & ! [_127869] : ((aElementOf0(_127869, szAzrzSzezqlpdtcmdtrp0(_127680, _127832)) => aInteger0(_127869) & ? [_127901] : (aInteger0(_127901) & sdtasdt0(_127832, _127901) = sdtpldt0(_127869, smndt0(_127680))) & aDivisorOf0(_127832, sdtpldt0(_127869, smndt0(_127680))) & sdteqdtlpzmzozddtrp0(_127869, _127680, _127832)) & (aInteger0(_127869) & (? [_127901] : (aInteger0(_127901) & sdtasdt0(_127832, _127901) = sdtpldt0(_127869, smndt0(_127680))) | aDivisorOf0(_127832, sdtpldt0(_127869, smndt0(_127680))) | sdteqdtlpzmzozddtrp0(_127869, _127680, _127832)) => aElementOf0(_127869, szAzrzSzezqlpdtcmdtrp0(_127680, _127832)))) => ! [_127869] : (aElementOf0(_127869, szAzrzSzezqlpdtcmdtrp0(_127680, _127832)) => aElementOf0(_127869, stldt0(sdtbsmnsldt0(xA, xB)))) | aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(_127680, _127832), stldt0(sdtbsmnsldt0(xA, xB)))))) | isOpen0(stldt0(sdtbsmnsldt0(xA, xB)))) | isClosed0(sdtbsmnsldt0(xA, xB)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', m__)).
% 177.60/171.58 fof(mInterOpen, axiom, ! [_129226, _129229] : (aSubsetOf0(_129226, cS1395) & aSubsetOf0(_129229, cS1395) & isOpen0(_129226) & isOpen0(_129229) => isOpen0(sdtslmnbsdt0(_129226, _129229))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', mInterOpen)).
% 177.60/171.58 fof(m__1826, hypothesis, aSet0(cS1395) & ! [_129474] : (aElementOf0(_129474, cS1395) <=> aInteger0(_129474)) & aSet0(xA) & ! [_129474] : (aElementOf0(_129474, xA) => aElementOf0(_129474, cS1395)) & aSubsetOf0(xA, cS1395) & aSet0(cS1395) & ! [_129474] : (aElementOf0(_129474, cS1395) <=> aInteger0(_129474)) & aSet0(xB) & ! [_129474] : (aElementOf0(_129474, xB) => aElementOf0(_129474, cS1395)) & aSubsetOf0(xB, cS1395) & aSet0(stldt0(xA)) & ! [_129474] : (aElementOf0(_129474, stldt0(xA)) <=> aInteger0(_129474) & ~ aElementOf0(_129474, xA)) & ! [_129474] : (aElementOf0(_129474, stldt0(xA)) => ? [_129690] : (aInteger0(_129690) & (! _129690) = sz00 & aSet0(szAzrzSzezqlpdtcmdtrp0(_129474, _129690)) & ! [_129727] : ((aElementOf0(_129727, szAzrzSzezqlpdtcmdtrp0(_129474, _129690)) => aInteger0(_129727) & ? [_129759] : (aInteger0(_129759) & sdtasdt0(_129690, _129759) = sdtpldt0(_129727, smndt0(_129474))) & aDivisorOf0(_129690, sdtpldt0(_129727, smndt0(_129474))) & sdteqdtlpzmzozddtrp0(_129727, _129474, _129690)) & (aInteger0(_129727) & (? [_129759] : (aInteger0(_129759) & sdtasdt0(_129690, _129759) = sdtpldt0(_129727, smndt0(_129474))) | aDivisorOf0(_129690, sdtpldt0(_129727, smndt0(_129474))) | sdteqdtlpzmzozddtrp0(_129727, _129474, _129690)) => aElementOf0(_129727, szAzrzSzezqlpdtcmdtrp0(_129474, _129690)))) & ! [_129727] : (aElementOf0(_129727, szAzrzSzezqlpdtcmdtrp0(_129474, _129690)) => aElementOf0(_129727, stldt0(xA))) & aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(_129474, _129690), stldt0(xA)))) & isOpen0(stldt0(xA)) & isClosed0(xA) & aSet0(stldt0(xB)) & ! [_129474] : (aElementOf0(_129474, stldt0(xB)) <=> aInteger0(_129474) & ~ aElementOf0(_129474, xB)) & ! [_129474] : (aElementOf0(_129474, stldt0(xB)) => ? [_129690] : (aInteger0(_129690) & (! _129690) = sz00 & aSet0(szAzrzSzezqlpdtcmdtrp0(_129474, _129690)) & ! [_129727] : ((aElementOf0(_129727, szAzrzSzezqlpdtcmdtrp0(_129474, _129690)) => aInteger0(_129727) & ? [_129759] : (aInteger0(_129759) & sdtasdt0(_129690, _129759) = sdtpldt0(_129727, smndt0(_129474))) & aDivisorOf0(_129690, sdtpldt0(_129727, smndt0(_129474))) & sdteqdtlpzmzozddtrp0(_129727, _129474, _129690)) & (aInteger0(_129727) & (? [_129759] : (aInteger0(_129759) & sdtasdt0(_129690, _129759) = sdtpldt0(_129727, smndt0(_129474))) | aDivisorOf0(_129690, sdtpldt0(_129727, smndt0(_129474))) | sdteqdtlpzmzozddtrp0(_129727, _129474, _129690)) => aElementOf0(_129727, szAzrzSzezqlpdtcmdtrp0(_129474, _129690)))) & ! [_129727] : (aElementOf0(_129727, szAzrzSzezqlpdtcmdtrp0(_129474, _129690)) => aElementOf0(_129727, stldt0(xB))) & aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(_129474, _129690), stldt0(xB)))) & isOpen0(stldt0(xB)) & isClosed0(xB), file('/export/starexec/sandbox/benchmark/theBenchmark.p', m__1826)).
% 177.60/171.58 fof(m__1883, hypothesis, aSet0(stldt0(xA)) & ! [_132252] : (aElementOf0(_132252, stldt0(xA)) <=> aInteger0(_132252) & ~ aElementOf0(_132252, xA)) & aSet0(cS1395) & ! [_132252] : (aElementOf0(_132252, cS1395) <=> aInteger0(_132252)) & ! [_132252] : (aElementOf0(_132252, stldt0(xA)) => aElementOf0(_132252, cS1395)) & aSubsetOf0(stldt0(xA), cS1395) & aSet0(stldt0(xB)) & ! [_132252] : (aElementOf0(_132252, stldt0(xB)) <=> aInteger0(_132252) & ~ aElementOf0(_132252, xB)) & aSet0(cS1395) & ! [_132252] : (aElementOf0(_132252, cS1395) <=> aInteger0(_132252)) & ! [_132252] : (aElementOf0(_132252, stldt0(xB)) => aElementOf0(_132252, cS1395)) & aSubsetOf0(stldt0(xB), cS1395) & aSet0(sdtbsmnsldt0(xA, xB)) & ! [_132252] : (aElementOf0(_132252, sdtbsmnsldt0(xA, xB)) <=> aInteger0(_132252) & (aElementOf0(_132252, xA) | aElementOf0(_132252, xB))) & aSet0(stldt0(sdtbsmnsldt0(xA, xB))) & ! [_132252] : (aElementOf0(_132252, stldt0(sdtbsmnsldt0(xA, xB))) <=> aInteger0(_132252) & ~ aElementOf0(_132252, sdtbsmnsldt0(xA, xB))) & ! [_132252] : (aElementOf0(_132252, stldt0(xA)) <=> aInteger0(_132252) & ~ aElementOf0(_132252, xA)) & ! [_132252] : (aElementOf0(_132252, stldt0(xB)) <=> aInteger0(_132252) & ~ aElementOf0(_132252, xB)) & ! [_132252] : (aElementOf0(_132252, stldt0(sdtbsmnsldt0(xA, xB))) <=> aInteger0(_132252) & aElementOf0(_132252, stldt0(xA)) & aElementOf0(_132252, stldt0(xB))) & stldt0(sdtbsmnsldt0(xA, xB)) = sdtslmnbsdt0(stldt0(xA), stldt0(xB)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', m__1883)).
% 177.60/171.58
% 177.60/171.58 cnf(1, plain, [isOpen0(stldt0(sdtbsmnsldt0(xA, xB)))], clausify(m__)).
% 177.60/171.58 cnf(2, plain, [_41171 = _41216, -(_41216 = _41171)], theory(equality)).
% 177.60/171.58 cnf(3, plain, [-(isOpen0(_45163)), _45114 = _45163, isOpen0(_45114)], theory(equality)).
% 177.60/171.58 cnf(4, plain, [-(isOpen0(sdtslmnbsdt0(_72348, _72411))), aSubsetOf0(_72348, cS1395), aSubsetOf0(_72411, cS1395), isOpen0(_72348), isOpen0(_72411)], clausify(mInterOpen)).
% 177.60/171.58 cnf(5, plain, [-(isOpen0(stldt0(xA)))], clausify(m__1826)).
% 177.60/171.58 cnf(6, plain, [-(isOpen0(stldt0(xB)))], clausify(m__1826)).
% 177.60/171.58 cnf(7, plain, [-(aSubsetOf0(stldt0(xA), cS1395))], clausify(m__1883)).
% 177.60/171.58 cnf(8, plain, [-(aSubsetOf0(stldt0(xB), cS1395))], clausify(m__1883)).
% 177.60/171.58 cnf(9, plain, [-(stldt0(sdtbsmnsldt0(xA, xB)) = sdtslmnbsdt0(stldt0(xA), stldt0(xB)))], clausify(m__1883)).
% 177.60/171.58
% 177.60/171.58 cnf('1',plain,[isOpen0(stldt0(sdtbsmnsldt0(xA, xB)))],start(1)).
% 177.60/171.58 cnf('1.1',plain,[-(isOpen0(stldt0(sdtbsmnsldt0(xA, xB)))), sdtslmnbsdt0(stldt0(xA), stldt0(xB)) = stldt0(sdtbsmnsldt0(xA, xB)), isOpen0(sdtslmnbsdt0(stldt0(xA), stldt0(xB)))],extension(3,bind([[_45163, _45114], [stldt0(sdtbsmnsldt0(xA, xB)), sdtslmnbsdt0(stldt0(xA), stldt0(xB))]]))).
% 177.60/171.58 cnf('1.1.1',plain,[-(sdtslmnbsdt0(stldt0(xA), stldt0(xB)) = stldt0(sdtbsmnsldt0(xA, xB))), stldt0(sdtbsmnsldt0(xA, xB)) = sdtslmnbsdt0(stldt0(xA), stldt0(xB))],extension(2,bind([[_41171, _41216], [stldt0(sdtbsmnsldt0(xA, xB)), sdtslmnbsdt0(stldt0(xA), stldt0(xB))]]))).
% 177.60/171.58 cnf('1.1.1.1',plain,[-(stldt0(sdtbsmnsldt0(xA, xB)) = sdtslmnbsdt0(stldt0(xA), stldt0(xB)))],extension(9)).
% 177.60/171.58 cnf('1.1.2',plain,[-(isOpen0(sdtslmnbsdt0(stldt0(xA), stldt0(xB)))), aSubsetOf0(stldt0(xA), cS1395), aSubsetOf0(stldt0(xB), cS1395), isOpen0(stldt0(xA)), isOpen0(stldt0(xB))],extension(4,bind([[_72348, _72411], [stldt0(xA), stldt0(xB)]]))).
% 177.60/171.58 cnf('1.1.2.1',plain,[-(aSubsetOf0(stldt0(xA), cS1395))],extension(7)).
% 177.60/171.58 cnf('1.1.2.2',plain,[-(aSubsetOf0(stldt0(xB), cS1395))],extension(8)).
% 177.60/171.58 cnf('1.1.2.3',plain,[-(isOpen0(stldt0(xA)))],extension(5)).
% 177.60/171.58 cnf('1.1.2.4',plain,[-(isOpen0(stldt0(xB)))],extension(6)).
% 177.60/171.58 %-----------------------------------------------------
% 177.60/171.59
% 177.60/171.59 % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------