TSTP Solution File: NUM481+3 by SATCoP---0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : SATCoP---0.1
% Problem : NUM481+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : satcop --statistics %s
% Computer : n010.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 14:01:11 EDT 2022
% Result : Theorem 68.61s 8.99s
% Output : Proof 68.61s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
cnf(g0,plain,
aNaturalNumber0(sK3),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__)]) ).
cnf(g1,plain,
~ sPE(sK3,sz00),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__)]) ).
cnf(g2,plain,
~ sPE(sK3,sz10),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__)]) ).
cnf(g3,plain,
( ~ sPE(sK2(sK3),sz10)
| ~ aNaturalNumber0(sK3)
| sPE(sK3,sz00)
| sPE(sK3,sz10)
| isPrime0(sK3) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefPrime)]) ).
cnf(g4,plain,
( ~ aNaturalNumber0(sK3)
| sPE(sK3,sz00)
| sPE(sK3,sz10)
| doDivides0(sK2(sK3),sK3)
| isPrime0(sK3) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefPrime)]) ).
cnf(g5,plain,
( ~ aNaturalNumber0(sK3)
| ~ aNaturalNumber0(sK3)
| sPE(sdtasdt0(sK3,sK3),sdtasdt0(sK3,sK3)) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',mMulComm)]) ).
cnf(g6,plain,
( ~ sPE(sdtasdt0(sK3,sK3),sdtasdt0(sK3,sK3))
| ~ aNaturalNumber0(sK3)
| ~ aNaturalNumber0(sK3)
| ~ aNaturalNumber0(sK3)
| sPE(sK3,sz00)
| sPE(sK3,sK3) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',mMulCanc)]) ).
cnf(g7,plain,
( ~ sPE(sK2(sK3),sK3)
| ~ aNaturalNumber0(sK3)
| sPE(sK3,sz00)
| sPE(sK3,sz10)
| isPrime0(sK3) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefPrime)]) ).
cnf(g8,plain,
( ~ aNaturalNumber0(sK3)
| sPE(sK3,sz00)
| sPE(sK3,sz10)
| aNaturalNumber0(sK2(sK3))
| isPrime0(sK3) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefPrime)]) ).
cnf(g9,plain,
( ~ aNaturalNumber0(sK3)
| sPE(sdtasdt0(sK3,sz10),sK3) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',m_MulUnit)]) ).
cnf(g10,plain,
aNaturalNumber0(sz10),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSortsC_01)]) ).
cnf(g11,plain,
aNaturalNumber0(sz00),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSortsC)]) ).
cnf(g12,plain,
( ~ sPE(sK3,sdtasdt0(sK3,sz10))
| ~ aNaturalNumber0(sK3)
| ~ aNaturalNumber0(sz10)
| sP0(sK3) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__)]) ).
cnf(g13,plain,
( ~ sPE(sdtasdt0(sK3,sz10),sK3)
| sPE(sK3,sdtasdt0(sK3,sz10)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g14,plain,
( ~ isPrime0(sK3)
| ~ sP0(sK3) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__)]) ).
cnf(g15,plain,
( ~ aNaturalNumber0(sK2(sK3))
| ~ aNaturalNumber0(sK3)
| ~ sdtlseqdt0(sK2(sK3),sK3)
| sPE(sK2(sK3),sK3)
| iLess0(sK2(sK3),sK3) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',mIH_03)]) ).
cnf(g16,plain,
( ~ aNaturalNumber0(sK2(sK3))
| ~ iLess0(sK2(sK3),sK3)
| sPE(sK2(sK3),sz00)
| sPE(sK2(sK3),sz10)
| aNaturalNumber0(sK4(sK2(sK3))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__)]) ).
cnf(g17,plain,
( ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK3)
| ~ doDivides0(sz00,sK3)
| sPE(sK3,sdtasdt0(sz00,sK1(sz00,sK3))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefDiv)]) ).
cnf(g18,plain,
( ~ aNaturalNumber0(sK2(sK3))
| ~ iLess0(sK2(sK3),sK3)
| sPE(sK2(sK3),sz00)
| sPE(sK2(sK3),sz10)
| isPrime0(sK4(sK2(sK3))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__)]) ).
cnf(g19,plain,
( ~ isPrime0(sK4(sK2(sK3)))
| ~ sP0(sK4(sK2(sK3))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__)]) ).
cnf(g20,plain,
( ~ aNaturalNumber0(sK2(sK3))
| ~ iLess0(sK2(sK3),sK3)
| sPE(sK2(sK3),sz00)
| sPE(sK2(sK3),sz10)
| doDivides0(sK4(sK2(sK3)),sK2(sK3)) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__)]) ).
cnf(g21,plain,
( ~ aNaturalNumber0(sK4(sK2(sK3)))
| ~ aNaturalNumber0(sK2(sK3))
| ~ aNaturalNumber0(sK3)
| ~ doDivides0(sK4(sK2(sK3)),sK2(sK3))
| ~ doDivides0(sK2(sK3),sK3)
| doDivides0(sK4(sK2(sK3)),sK3) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDivTrans)]) ).
cnf(g22,plain,
( ~ aNaturalNumber0(sK2(sK3))
| ~ aNaturalNumber0(sK3)
| ~ doDivides0(sK2(sK3),sK3)
| aNaturalNumber0(sK1(sK2(sK3),sK3)) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefDiv)]) ).
cnf(g23,plain,
( ~ sPE(sK2(sK3),sz00)
| ~ sPE(sK3,sK3)
| ~ doDivides0(sK2(sK3),sK3)
| doDivides0(sz00,sK3) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g24,plain,
( ~ sPE(sK2(sK3),sz00)
| ~ sPE(sK3,sK3)
| sPE(sK1(sK2(sK3),sK3),sK1(sz00,sK3)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g25,plain,
( ~ aNaturalNumber0(sK2(sK3))
| ~ aNaturalNumber0(sK3)
| ~ doDivides0(sK2(sK3),sK3)
| sPE(sK3,sz00)
| sdtlseqdt0(sK2(sK3),sK3) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDivLE)]) ).
cnf(g26,plain,
( ~ aNaturalNumber0(sK4(sK2(sK3)))
| ~ doDivides0(sK4(sK2(sK3)),sK3)
| sP0(sK4(sK2(sK3))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__)]) ).
cnf(g27,plain,
( ~ sPE(sK1(sK2(sK3),sK3),sK1(sz00,sK3))
| ~ aNaturalNumber0(sK1(sK2(sK3),sK3))
| aNaturalNumber0(sK1(sz00,sK3)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g28,plain,
( ~ sPE(sK3,sdtasdt0(sz00,sK1(sz00,sK3)))
| ~ sPE(sdtasdt0(sz00,sK1(sz00,sK3)),sdtasdt0(sK1(sz00,sK3),sz00))
| sPE(sK3,sdtasdt0(sK1(sz00,sK3),sz00)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g29,plain,
( ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sK1(sz00,sK3))
| sPE(sdtasdt0(sz00,sK1(sz00,sK3)),sdtasdt0(sK1(sz00,sK3),sz00)) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',mMulComm)]) ).
cnf(g30,plain,
( ~ aNaturalNumber0(sK1(sz00,sK3))
| sPE(sdtasdt0(sK1(sz00,sK3),sz00),sz00) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',m_MulZero)]) ).
cnf(g31,plain,
( ~ sPE(sK3,sdtasdt0(sK1(sz00,sK3),sz00))
| ~ sPE(sdtasdt0(sK1(sz00,sK3),sz00),sz00)
| sPE(sK3,sz00) ),
inference(ground_cnf,[],[theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : NUM481+3 : TPTP v8.1.0. Released v4.0.0.
% 0.12/0.13 % Command : satcop --statistics %s
% 0.12/0.34 % Computer : n010.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Tue Jul 5 03:51:47 EDT 2022
% 0.12/0.34 % CPUTime :
% 68.61/8.99 % symbols: 22
% 68.61/8.99 % clauses: 106
% 68.61/8.99 % start clauses: 14
% 68.61/8.99 % iterative deepening steps: 4155
% 68.61/8.99 % maximum path limit: 3
% 68.61/8.99 % literal attempts: 32708356
% 68.61/8.99 % depth failures: 30180324
% 68.61/8.99 % regularity failures: 326133
% 68.61/8.99 % tautology failures: 1324937
% 68.61/8.99 % reductions: 492768
% 68.61/8.99 % extensions: 32162822
% 68.61/8.99 % SAT variables: 777708
% 68.61/8.99 % SAT clauses: 988125
% 68.61/8.99 % WalkSAT solutions: 988091
% 68.61/8.99 % CDCL solutions: 32
% 68.61/8.99 % SZS status Theorem for theBenchmark
% 68.61/8.99 % SZS output start ListOfCNF for theBenchmark
% See solution above
%------------------------------------------------------------------------------