TSTP Solution File: NUM444+6 by SATCoP---0.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SATCoP---0.1
% Problem  : NUM444+6 : 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 14:00:51 EDT 2022

% Result   : Theorem 8.35s 1.41s
% Output   : Proof 8.35s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)

% Comments : 
%------------------------------------------------------------------------------
cnf(g0,plain,
    ( ~ aInteger0(xa)
    | ~ aInteger0(xa)
    | aSet0(szAzrzSzezqlpdtcmdtrp0(xa,xq))
    | sP6(xa,xa,xa)
    | sP7(xa,xa,xa,xa) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__)]) ).

cnf(g1,plain,
    ( aElementOf0(sK18,szAzrzSzezqlpdtcmdtrp0(xa,xq))
    | sP8(xa,xa,xa,xa,xa,xa) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__)]) ).

cnf(g2,plain,
    ( ~ aElementOf0(sK18,cS1395)
    | sP8(xa,xa,xa,xa,xa,xa) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__)]) ).

cnf(g3,plain,
    ( ~ sdteqdtlpzmzozddtrp0(xa,xa,xq)
    | ~ sP6(xa,xa,xa) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__)]) ).

cnf(g4,plain,
    ( ~ aElementOf0(xa,szAzrzSzezqlpdtcmdtrp0(xa,xq))
    | ~ sP7(xa,xa,xa,xa) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__)]) ).

cnf(g5,plain,
    ( ~ aInteger0(xa)
    | ~ aInteger0(xq)
    | sPE(xq,sz00)
    | sdteqdtlpzmzozddtrp0(xa,xa,xq) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',mEquModRef)]) ).

cnf(g6,plain,
    ( aElementOf0(sK20,stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq)))
    | ~ sP8(xa,xa,xa,xa,xa,xa) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__)]) ).

cnf(g7,plain,
    ( ~ aInteger0(sK18)
    | aElementOf0(sK18,cS1395)
    | sP8(xa,xa,xa,xa,xa,xa) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__)]) ).

cnf(g8,plain,
    ( ~ aInteger0(xa)
    | ~ aInteger0(xa)
    | ~ aElementOf0(sK18,szAzrzSzezqlpdtcmdtrp0(xa,xq))
    | aInteger0(sK18)
    | sP6(xa,xa,xa)
    | sP7(xa,xa,xa,xa) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__)]) ).

cnf(g9,plain,
    ( ~ aSet0(cS1395)
    | ~ aSet0(szAzrzSzezqlpdtcmdtrp0(xa,xq))
    | ~ aElementOf0(sK2(cS1395,szAzrzSzezqlpdtcmdtrp0(xa,xq)),cS1395)
    | aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(xa,xq),cS1395) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSubset)]) ).

cnf(g10,plain,
    ( ~ aSet0(cS1395)
    | ~ aSet0(szAzrzSzezqlpdtcmdtrp0(xa,xq))
    | aElementOf0(sK2(cS1395,szAzrzSzezqlpdtcmdtrp0(xa,xq)),szAzrzSzezqlpdtcmdtrp0(xa,xq))
    | aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(xa,xq),cS1395) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSubset)]) ).

cnf(g11,plain,
    aInteger0(xa),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1962)]) ).

cnf(g12,plain,
    aInteger0(xq),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1962)]) ).

cnf(g13,plain,
    ( ~ aElementOf0(sK20,stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq)))
    | aInteger0(sK20)
    | ~ sP8(xa,xa,sK20,xa,xa,xa) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__)]) ).

cnf(g14,plain,
    ( ~ sPE(szAzrzSzezqlpdtcmdtrp0(xa,xq),szAzrzSzezqlpdtcmdtrp0(xa,xq))
    | ~ aInteger0(xa)
    | ~ aInteger0(xq)
    | ~ aInteger0(xa)
    | ~ sdteqdtlpzmzozddtrp0(xa,xa,xq)
    | sPE(xq,sz00)
    | aElementOf0(xa,szAzrzSzezqlpdtcmdtrp0(xa,xq)) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',mArSeq)]) ).

cnf(g15,plain,
    sPE(stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq)),stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq))),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g16,plain,
    sPE(szAzrzSzezqlpdtcmdtrp0(xa,xq),szAzrzSzezqlpdtcmdtrp0(xa,xq)),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g17,plain,
    ~ sPE(xq,sz00),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1962)]) ).

cnf(g18,plain,
    ( ~ aElementOf0(sK20,stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq)))
    | ~ aElementOf0(sK20,szAzrzSzezqlpdtcmdtrp0(xa,xq))
    | ~ sP8(xa,xa,sK20,xa,xa,xa) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__)]) ).

cnf(g19,plain,
    ( ~ aInteger0(xq)
    | sPE(xq,sz00)
    | aElementOf0(sK22(xq),szAzrzSzezqlpdtcmdtrp0(sK20,xq))
    | ~ sP8(xa,xa,xa,xq,xa,xa) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__)]) ).

cnf(g20,plain,
    ( aSet0(cS1395)
    | sP8(xa,xa,xa,xq,sK22(xq),xa) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__)]) ).

cnf(g21,plain,
    ( ~ aInteger0(xq)
    | ~ aElementOf0(sK22(xq),szAzrzSzezqlpdtcmdtrp0(sK20,xq))
    | sPE(xq,sz00)
    | sdteqdtlpzmzozddtrp0(sK22(xq),sK20,xq)
    | ~ sP8(xa,xa,xa,xq,sK22(xq),xa) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__)]) ).

cnf(g22,plain,
    ( ~ sdteqdtlpzmzozddtrp0(sK22(xq),sK20,xq)
    | ~ sP6(sK20,sK22(xq),xa) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__)]) ).

cnf(g23,plain,
    ( ~ aInteger0(xa)
    | ~ aInteger0(xa)
    | ~ aElementOf0(sK2(cS1395,szAzrzSzezqlpdtcmdtrp0(xa,xq)),szAzrzSzezqlpdtcmdtrp0(xa,xq))
    | aInteger0(sK2(cS1395,szAzrzSzezqlpdtcmdtrp0(xa,xq)))
    | sP6(xa,xa,xa)
    | sP7(xa,xa,xa,xa) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__)]) ).

cnf(g24,plain,
    ( aSet0(cS1395)
    | sP8(xa,xa,sK20,xa,xa,xa) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__)]) ).

cnf(g25,plain,
    ( ~ sPE(stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq)),stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq)))
    | ~ aElementOf0(sK20,szAzrzSzezqlpdtcmdtrp0(xa,xq))
    | ~ aElementOf0(sK20,stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq)))
    | ~ aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(xa,xq),cS1395) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',mComplement)]) ).

cnf(g26,plain,
    ( ~ aElementOf0(sK20,stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq)))
    | aInteger0(sK20)
    | ~ sP8(xa,xa,sK20,sK20,xa,xa) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__)]) ).

cnf(g27,plain,
    ( ~ aInteger0(xq)
    | ~ aElementOf0(sK22(xq),stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq)))
    | sPE(xq,sz00)
    | ~ sP8(xa,xa,sK22(xq),xq,xa,xa) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__)]) ).

cnf(g28,plain,
    ( ~ aInteger0(sK22(xq))
    | aElementOf0(sK22(xq),stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq)))
    | aElementOf0(sK22(xq),szAzrzSzezqlpdtcmdtrp0(xa,xq))
    | ~ sP8(xa,xa,sK22(xq),xq,xa,xa) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__)]) ).

cnf(g29,plain,
    ( ~ aInteger0(xq)
    | ~ aElementOf0(sK22(xq),szAzrzSzezqlpdtcmdtrp0(sK20,xq))
    | sPE(xq,sz00)
    | aInteger0(sK22(xq))
    | ~ sP8(xa,xa,xa,xq,sK22(xq),xa) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__)]) ).

cnf(g30,plain,
    ( aSet0(cS1395)
    | sP8(xa,xa,sK22(xq),xq,xa,xa) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__)]) ).

cnf(g31,plain,
    ( ~ aInteger0(sK2(cS1395,szAzrzSzezqlpdtcmdtrp0(xa,xq)))
    | aElementOf0(sK2(cS1395,szAzrzSzezqlpdtcmdtrp0(xa,xq)),cS1395)
    | sP8(xa,xa,sK20,xa,xa,xa) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__)]) ).

cnf(g32,plain,
    ( ~ aElementOf0(sK20,stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq)))
    | aInteger0(sK20)
    | ~ sP8(xa,xa,sK20,xa,xa,sK20) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__)]) ).

cnf(g33,plain,
    ( ~ aInteger0(xq)
    | sPE(xq,sz00)
    | aElementOf0(sK22(xq),szAzrzSzezqlpdtcmdtrp0(sK20,xq))
    | ~ sP8(xa,xa,sdtasdt0(xq,sK21(xq,sK22(xq))),xq,sK22(xq),xa) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__)]) ).

cnf(g34,plain,
    ( ~ aInteger0(sK2(cS1395,szAzrzSzezqlpdtcmdtrp0(xa,xq)))
    | aElementOf0(sK2(cS1395,szAzrzSzezqlpdtcmdtrp0(xa,xq)),cS1395)
    | sP8(xa,xa,xa,xq,xa,xa) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__)]) ).

cnf(g35,plain,
    ( aSet0(cS1395)
    | sP8(xa,xa,sK20,xa,xa,sK20) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__)]) ).

cnf(g36,plain,
    ( aSet0(cS1395)
    | sP8(xa,xa,sdtasdt0(xq,sK21(xq,sK22(xq))),xq,sK22(xq),xa) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__)]) ).

cnf(g37,plain,
    ( ~ aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(xa,xq),cS1395)
    | sP8(xa,xa,sK22(xq),xq,xa,xa) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__)]) ).

cnf(g38,plain,
    ( ~ aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(xa,xq),cS1395)
    | sP8(xa,xa,xa,xq,sK22(xq),xa) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__)]) ).

cnf(g39,plain,
    ( ~ aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(xa,xq),cS1395)
    | sP8(xa,xa,sK20,sK20,xa,xa) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__)]) ).

cnf(g40,plain,
    ( ~ aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(xa,xq),cS1395)
    | sP8(xa,xa,sdtasdt0(xq,sK21(xq,sK22(xq))),xq,sK22(xq),xa) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__)]) ).

cnf(g41,plain,
    ( ~ aInteger0(sK2(cS1395,szAzrzSzezqlpdtcmdtrp0(xa,xq)))
    | aElementOf0(sK2(cS1395,szAzrzSzezqlpdtcmdtrp0(xa,xq)),cS1395)
    | sP8(xa,xa,xa,xq,sK22(xq),xa) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__)]) ).

cnf(g42,plain,
    ( ~ aInteger0(sK2(cS1395,szAzrzSzezqlpdtcmdtrp0(xa,xq)))
    | aElementOf0(sK2(cS1395,szAzrzSzezqlpdtcmdtrp0(xa,xq)),cS1395)
    | sP8(xa,xa,sK22(xq),xq,xa,xa) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__)]) ).

cnf(g43,plain,
    ( ~ aInteger0(sK20)
    | ~ aInteger0(sK22(xq))
    | aElementOf0(sK20,szAzrzSzezqlpdtcmdtrp0(xa,xq))
    | sP6(sK20,sK22(xq),xa)
    | sP7(sK20,sK22(xq),sK22(xq),xa) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__)]) ).

cnf(g44,plain,
    ( ~ aElementOf0(sK22(xq),szAzrzSzezqlpdtcmdtrp0(xa,xq))
    | ~ sP7(sK20,sK22(xq),sK22(xq),xa) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : NUM444+6 : TPTP v8.1.0. Released v4.0.0.
% 0.12/0.12  % Command  : satcop --statistics %s
% 0.12/0.33  % Computer : n029.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 13:52:29 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 8.35/1.41  % symbols: 57
% 8.35/1.41  % clauses: 229
% 8.35/1.41  % start clauses: 26
% 8.35/1.41  % iterative deepening steps: 886
% 8.35/1.41  % maximum path limit: 2
% 8.35/1.41  % literal attempts: 2445361
% 8.35/1.41  % depth failures: 2269243
% 8.35/1.41  % regularity failures: 30300
% 8.35/1.41  % tautology failures: 11670
% 8.35/1.41  % reductions: 39960
% 8.35/1.41  % extensions: 2383379
% 8.35/1.41  % SAT variables: 257406
% 8.35/1.41  % SAT clauses: 325296
% 8.35/1.41  % WalkSAT solutions: 325287
% 8.35/1.41  % CDCL solutions: 8
% 8.35/1.41  % SZS status Theorem for theBenchmark
% 8.35/1.41  % SZS output start ListOfCNF for theBenchmark
% See solution above
%------------------------------------------------------------------------------