TSTP Solution File: NUM483+1 by SATCoP---0.1
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%------------------------------------------------------------------------------
% File : SATCoP---0.1
% Problem : NUM483+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : satcop --statistics %s
% Computer : n029.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 14:01:12 EDT 2022
% Result : Theorem 83.91s 11.05s
% Output : Proof 84.67s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
cnf(g0,plain,
( ~ aNaturalNumber0(xk)
| sPE(xk,sz00)
| sPE(xk,sz10)
| doDivides0(sK2(xk),xk)
| isPrime0(xk) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefPrime)]) ).
cnf(g1,plain,
aNaturalNumber0(xk),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1716)]) ).
cnf(g2,plain,
( ~ sPE(sK2(xk),sz10)
| ~ aNaturalNumber0(xk)
| sPE(xk,sz00)
| sPE(xk,sz10)
| isPrime0(xk) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefPrime)]) ).
cnf(g3,plain,
( ~ aNaturalNumber0(xk)
| sPE(xk,sz00)
| sPE(xk,sz10)
| aNaturalNumber0(sK2(xk))
| isPrime0(xk) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefPrime)]) ).
cnf(g4,plain,
( ~ sPE(sK2(xk),xk)
| ~ aNaturalNumber0(xk)
| sPE(xk,sz00)
| sPE(xk,sz10)
| isPrime0(xk) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefPrime)]) ).
cnf(g5,plain,
~ isPrime0(xk),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1725)]) ).
cnf(g6,plain,
~ sPE(xk,sz10),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1716_04)]) ).
cnf(g7,plain,
~ sPE(xk,sz00),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1716_04)]) ).
cnf(g8,plain,
( ~ aNaturalNumber0(sK2(xk))
| ~ aNaturalNumber0(xk)
| ~ sdtlseqdt0(sK2(xk),xk)
| sPE(sK2(xk),xk)
| iLess0(sK2(xk),xk) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mIH_03)]) ).
cnf(g9,plain,
( ~ aNaturalNumber0(sK2(xk))
| ~ iLess0(sK2(xk),xk)
| sPE(sK2(xk),sz00)
| sPE(sK2(xk),sz10)
| doDivides0(sK3(sK2(xk)),sK2(xk)) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1700)]) ).
cnf(g10,plain,
( ~ aNaturalNumber0(sK2(xk))
| ~ iLess0(sK2(xk),xk)
| sPE(sK2(xk),sz00)
| sPE(sK2(xk),sz10)
| isPrime0(sK3(sK2(xk))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1700)]) ).
cnf(g11,plain,
( ~ aNaturalNumber0(sK2(xk))
| ~ iLess0(sK2(xk),xk)
| sPE(sK2(xk),sz00)
| sPE(sK2(xk),sz10)
| aNaturalNumber0(sK3(sK2(xk))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1700)]) ).
cnf(g12,plain,
( ~ aNaturalNumber0(sK2(xk))
| ~ aNaturalNumber0(xk)
| ~ doDivides0(sK2(xk),xk)
| aNaturalNumber0(sK1(sK2(xk),xk)) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefDiv)]) ).
cnf(g13,plain,
( ~ aNaturalNumber0(sK2(xk))
| ~ aNaturalNumber0(xk)
| ~ doDivides0(sK2(xk),xk)
| sPE(xk,sz00)
| sdtlseqdt0(sK2(xk),xk) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDivLE)]) ).
cnf(g14,plain,
( ~ sPE(sK2(xk),sz00)
| ~ sPE(xk,xk)
| sPE(sK1(sK2(xk),xk),sK1(sz00,xk)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g15,plain,
( ~ sPE(sK2(xk),sz00)
| ~ sPE(xk,xk)
| ~ doDivides0(sK2(xk),xk)
| doDivides0(sz00,xk) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g16,plain,
( ~ aNaturalNumber0(xk)
| sdtlseqdt0(xk,xk) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mLERefl)]) ).
cnf(g17,plain,
( ~ aNaturalNumber0(sK3(sK2(xk)))
| ~ doDivides0(sK3(sK2(xk)),xk)
| ~ isPrime0(sK3(sK2(xk))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__)]) ).
cnf(g18,plain,
( ~ aNaturalNumber0(sK3(sK2(xk)))
| ~ aNaturalNumber0(sK2(xk))
| ~ aNaturalNumber0(xk)
| ~ doDivides0(sK3(sK2(xk)),sK2(xk))
| ~ doDivides0(sK2(xk),xk)
| doDivides0(sK3(sK2(xk)),xk) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDivTrans)]) ).
cnf(g19,plain,
aNaturalNumber0(sz00),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSortsC)]) ).
cnf(g20,plain,
( ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(xk)
| ~ sdtlseqdt0(xk,xk)
| ~ sdtlseqdt0(xk,xk)
| sPE(xk,xk) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mLEAsym)]) ).
cnf(g21,plain,
aNaturalNumber0(sz10),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSortsC_01)]) ).
cnf(g22,plain,
( ~ sPE(sK1(sK2(xk),xk),sK1(sz00,xk))
| ~ aNaturalNumber0(sK1(sK2(xk),xk))
| aNaturalNumber0(sK1(sz00,xk)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g23,plain,
( ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xk)
| ~ doDivides0(sz00,xk)
| sPE(xk,sdtasdt0(sz00,sK1(sz00,xk))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefDiv)]) ).
cnf(g24,plain,
( ~ aNaturalNumber0(sz00)
| sPE(sdtasdt0(sz00,sz10),sz00) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m_MulUnit)]) ).
cnf(g25,plain,
( ~ sPE(sK2(xk),sz00)
| ~ sPE(sz00,sz10)
| sPE(sK2(xk),sz10) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g26,plain,
( ~ sPE(sz10,sz00)
| sPE(sz00,sz10) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g27,plain,
( ~ aNaturalNumber0(sK1(sz00,xk))
| sPE(sz00,sdtasdt0(sz00,sK1(sz00,xk))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m_MulZero)]) ).
cnf(g28,plain,
( ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sz00)
| sPE(sz10,sz00)
| sdtlseqdt0(sz00,sdtasdt0(sz00,sz10)) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mMonMul2)]) ).
cnf(g29,plain,
( ~ sPE(sz00,sdtasdt0(sz00,sK1(sz00,xk)))
| ~ sPE(sdtasdt0(sz00,sz10),sz00)
| ~ sdtlseqdt0(sz00,sdtasdt0(sz00,sz10))
| sdtlseqdt0(sdtasdt0(sz00,sK1(sz00,xk)),sz00) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g30,plain,
( ~ sPE(xk,sdtasdt0(sz00,sK1(sz00,xk)))
| ~ aNaturalNumber0(xk)
| aNaturalNumber0(sdtasdt0(sz00,sK1(sz00,xk))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g31,plain,
( ~ sPE(xk,sdtasdt0(sz00,sK1(sz00,xk)))
| ~ sPE(sdtasdt0(sz00,sK1(sz00,xk)),sz00)
| sPE(xk,sz00) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g32,plain,
( ~ sPE(sdtasdt0(sdtasdt0(sz00,sK1(sz00,xk)),xk),sdtasdt0(sz00,xk))
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(sdtasdt0(sz00,sK1(sz00,xk)))
| ~ aNaturalNumber0(sz00)
| ~ sdtlseqdt0(sdtasdt0(sz00,sK1(sz00,xk)),sz00)
| sPE(xk,sz00)
| sPE(sdtasdt0(sz00,sK1(sz00,xk)),sz00) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mMonMul)]) ).
cnf(g33,plain,
( ~ sPE(sdtasdt0(sz00,xk),sdtasdt0(sdtasdt0(sz00,sK1(sz00,xk)),xk))
| sPE(sdtasdt0(sdtasdt0(sz00,sK1(sz00,xk)),xk),sdtasdt0(sz00,xk)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g34,plain,
( ~ sPE(sz00,sdtasdt0(sz00,sK1(sz00,xk)))
| ~ sPE(xk,xk)
| sPE(sdtasdt0(sz00,xk),sdtasdt0(sdtasdt0(sz00,sK1(sz00,xk)),xk)) ),
inference(ground_cnf,[],[theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14 % Problem : NUM483+1 : TPTP v8.1.0. Released v4.0.0.
% 0.08/0.15 % Command : satcop --statistics %s
% 0.14/0.36 % Computer : n029.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 600
% 0.14/0.36 % DateTime : Tue Jul 5 08:15:42 EDT 2022
% 0.14/0.37 % CPUTime :
% 83.91/11.05 % symbols: 18
% 83.91/11.05 % clauses: 89
% 83.91/11.05 % start clauses: 1
% 83.91/11.05 % iterative deepening steps: 1890
% 83.91/11.05 % maximum path limit: 5
% 83.91/11.05 % literal attempts: 7940793
% 83.91/11.05 % depth failures: 6850683
% 83.91/11.05 % regularity failures: 468175
% 83.91/11.05 % tautology failures: 354440
% 83.91/11.05 % reductions: 83413
% 83.91/11.05 % extensions: 7856813
% 83.91/11.05 % SAT variables: 1418340
% 83.91/11.05 % SAT clauses: 1823113
% 83.91/11.05 % WalkSAT solutions: 1822958
% 83.91/11.05 % CDCL solutions: 151
% 83.91/11.05 % SZS status Theorem for theBenchmark
% 83.91/11.05 % SZS output start ListOfCNF for theBenchmark
% See solution above
%------------------------------------------------------------------------------