TSTP Solution File: KRS085+1 by PyRes---1.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : PyRes---1.5
% Problem  : KRS085+1 : TPTP v8.1.2. Released v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s

% Computer : n008.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  : 300s
% DateTime : Thu May  9 17:28:39 EDT 2024

% Result   : Unsatisfiable 0.39s 0.60s
% Output   : Refutation 0.39s
% Verified : 
% SZS Type : -

% Comments : 
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : KRS085+1 : TPTP v8.1.2. Released v3.1.0.
% 0.07/0.13  % Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.34  % Computer : n008.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Thu May  9 00:06:53 EDT 2024
% 0.13/0.35  % CPUTime  : 
% 0.39/0.60  % Version:  1.5
% 0.39/0.60  % SZS status Unsatisfiable
% 0.39/0.60  % SZS output start CNFRefutation
% 0.39/0.60  fof(axiom_7,axiom,cUnsatisfiable(i2003_11_14_17_19_39537),file('/export/starexec/sandbox/benchmark/theBenchmark.p', axiom_7)).
% 0.39/0.60  cnf(c10,plain,cUnsatisfiable(i2003_11_14_17_19_39537),inference(split_conjunct,[status(thm)],[axiom_7])).
% 0.39/0.60  fof(axiom_2,axiom,(![X]:(cUnsatisfiable(X)<=>((?[Y]:(rr(X,Y)&(?[Z]:((rr(Y,Z)&cp1(Z))&(![W]:(rinvR(Z,W)=>(~cp1(W))))))))&cp1(X)))),file('/export/starexec/sandbox/benchmark/theBenchmark.p', axiom_2)).
% 0.39/0.60  fof(c30,plain,(![X]:(cUnsatisfiable(X)<=>((?[Y]:(rr(X,Y)&(?[Z]:((rr(Y,Z)&cp1(Z))&(![W]:(rinvR(Z,W)=>~cp1(W)))))))&cp1(X)))),inference(fof_simplification,[status(thm)],[axiom_2])).
% 0.39/0.60  fof(c31,plain,(![X]:((~cUnsatisfiable(X)|((?[Y]:(rr(X,Y)&(?[Z]:((rr(Y,Z)&cp1(Z))&(![W]:(~rinvR(Z,W)|~cp1(W)))))))&cp1(X)))&(((![Y]:(~rr(X,Y)|(![Z]:((~rr(Y,Z)|~cp1(Z))|(?[W]:(rinvR(Z,W)&cp1(W)))))))|~cp1(X))|cUnsatisfiable(X)))),inference(fof_nnf,[status(thm)],[c30])).
% 0.39/0.60  fof(c32,plain,((![X]:(~cUnsatisfiable(X)|((?[Y]:(rr(X,Y)&(?[Z]:((rr(Y,Z)&cp1(Z))&(![W]:(~rinvR(Z,W)|~cp1(W)))))))&cp1(X))))&(![X]:(((![Y]:(~rr(X,Y)|(![Z]:((~rr(Y,Z)|~cp1(Z))|(?[W]:(rinvR(Z,W)&cp1(W)))))))|~cp1(X))|cUnsatisfiable(X)))),inference(shift_quantors,[status(thm)],[c31])).
% 0.39/0.61  fof(c33,plain,((![X16]:(~cUnsatisfiable(X16)|((?[X17]:(rr(X16,X17)&(?[X18]:((rr(X17,X18)&cp1(X18))&(![X19]:(~rinvR(X18,X19)|~cp1(X19)))))))&cp1(X16))))&(![X20]:(((![X21]:(~rr(X20,X21)|(![X22]:((~rr(X21,X22)|~cp1(X22))|(?[X23]:(rinvR(X22,X23)&cp1(X23)))))))|~cp1(X20))|cUnsatisfiable(X20)))),inference(variable_rename,[status(thm)],[c32])).
% 0.39/0.61  fof(c35,plain,(![X16]:(![X19]:(![X20]:(![X21]:(![X22]:((~cUnsatisfiable(X16)|((rr(X16,skolem0001(X16))&((rr(skolem0001(X16),skolem0002(X16))&cp1(skolem0002(X16)))&(~rinvR(skolem0002(X16),X19)|~cp1(X19))))&cp1(X16)))&(((~rr(X20,X21)|((~rr(X21,X22)|~cp1(X22))|(rinvR(X22,skolem0003(X20,X21,X22))&cp1(skolem0003(X20,X21,X22)))))|~cp1(X20))|cUnsatisfiable(X20)))))))),inference(shift_quantors,[status(thm)],[fof(c34,plain,((![X16]:(~cUnsatisfiable(X16)|((rr(X16,skolem0001(X16))&((rr(skolem0001(X16),skolem0002(X16))&cp1(skolem0002(X16)))&(![X19]:(~rinvR(skolem0002(X16),X19)|~cp1(X19)))))&cp1(X16))))&(![X20]:(((![X21]:(~rr(X20,X21)|(![X22]:((~rr(X21,X22)|~cp1(X22))|(rinvR(X22,skolem0003(X20,X21,X22))&cp1(skolem0003(X20,X21,X22)))))))|~cp1(X20))|cUnsatisfiable(X20)))),inference(skolemize,[status(esa)],[c33])).])).
% 0.39/0.61  fof(c36,plain,(![X16]:(![X19]:(![X20]:(![X21]:(![X22]:((((~cUnsatisfiable(X16)|rr(X16,skolem0001(X16)))&(((~cUnsatisfiable(X16)|rr(skolem0001(X16),skolem0002(X16)))&(~cUnsatisfiable(X16)|cp1(skolem0002(X16))))&(~cUnsatisfiable(X16)|(~rinvR(skolem0002(X16),X19)|~cp1(X19)))))&(~cUnsatisfiable(X16)|cp1(X16)))&((((~rr(X20,X21)|((~rr(X21,X22)|~cp1(X22))|rinvR(X22,skolem0003(X20,X21,X22))))|~cp1(X20))|cUnsatisfiable(X20))&(((~rr(X20,X21)|((~rr(X21,X22)|~cp1(X22))|cp1(skolem0003(X20,X21,X22))))|~cp1(X20))|cUnsatisfiable(X20))))))))),inference(distribute,[status(thm)],[c35])).
% 0.39/0.61  cnf(c41,plain,~cUnsatisfiable(X67)|cp1(X67),inference(split_conjunct,[status(thm)],[c36])).
% 0.39/0.61  cnf(c99,plain,cp1(i2003_11_14_17_19_39537),inference(resolution,[status(thm)],[c41, c10])).
% 0.39/0.61  cnf(c40,plain,~cUnsatisfiable(X139)|~rinvR(skolem0002(X139),X140)|~cp1(X140),inference(split_conjunct,[status(thm)],[c36])).
% 0.39/0.61  fof(axiom_5,axiom,(![X]:(![Y]:(rinvR(X,Y)<=>rr(Y,X)))),file('/export/starexec/sandbox/benchmark/theBenchmark.p', axiom_5)).
% 0.39/0.61  fof(c14,plain,(![X]:(![Y]:((~rinvR(X,Y)|rr(Y,X))&(~rr(Y,X)|rinvR(X,Y))))),inference(fof_nnf,[status(thm)],[axiom_5])).
% 0.39/0.61  fof(c15,plain,((![X]:(![Y]:(~rinvR(X,Y)|rr(Y,X))))&(![X]:(![Y]:(~rr(Y,X)|rinvR(X,Y))))),inference(shift_quantors,[status(thm)],[c14])).
% 0.39/0.61  fof(c17,plain,(![X5]:(![X6]:(![X7]:(![X8]:((~rinvR(X5,X6)|rr(X6,X5))&(~rr(X8,X7)|rinvR(X7,X8))))))),inference(shift_quantors,[status(thm)],[fof(c16,plain,((![X5]:(![X6]:(~rinvR(X5,X6)|rr(X6,X5))))&(![X7]:(![X8]:(~rr(X8,X7)|rinvR(X7,X8))))),inference(variable_rename,[status(thm)],[c15])).])).
% 0.39/0.61  cnf(c19,plain,~rr(X79,X80)|rinvR(X80,X79),inference(split_conjunct,[status(thm)],[c17])).
% 0.39/0.61  cnf(c37,plain,~cUnsatisfiable(X92)|rr(X92,skolem0001(X92)),inference(split_conjunct,[status(thm)],[c36])).
% 0.39/0.61  cnf(c106,plain,rr(i2003_11_14_17_19_39537,skolem0001(i2003_11_14_17_19_39537)),inference(resolution,[status(thm)],[c37, c10])).
% 0.39/0.61  cnf(c38,plain,~cUnsatisfiable(X130)|rr(skolem0001(X130),skolem0002(X130)),inference(split_conjunct,[status(thm)],[c36])).
% 0.39/0.61  cnf(c113,plain,rr(skolem0001(i2003_11_14_17_19_39537),skolem0002(i2003_11_14_17_19_39537)),inference(resolution,[status(thm)],[c38, c10])).
% 0.39/0.61  fof(axiom_6,axiom,(![X]:(![Y]:(![Z]:((rr(X,Y)&rr(Y,Z))=>rr(X,Z))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p', axiom_6)).
% 0.39/0.61  fof(c11,plain,(![X]:(![Y]:(![Z]:((~rr(X,Y)|~rr(Y,Z))|rr(X,Z))))),inference(fof_nnf,[status(thm)],[axiom_6])).
% 0.39/0.61  fof(c12,plain,(![X2]:(![X3]:(![X4]:((~rr(X2,X3)|~rr(X3,X4))|rr(X2,X4))))),inference(variable_rename,[status(thm)],[c11])).
% 0.39/0.61  cnf(c13,plain,~rr(X135,X136)|~rr(X136,X137)|rr(X135,X137),inference(split_conjunct,[status(thm)],[c12])).
% 0.39/0.61  cnf(c120,plain,~rr(X184,skolem0001(i2003_11_14_17_19_39537))|rr(X184,skolem0002(i2003_11_14_17_19_39537)),inference(resolution,[status(thm)],[c13, c113])).
% 0.39/0.61  cnf(c143,plain,rr(i2003_11_14_17_19_39537,skolem0002(i2003_11_14_17_19_39537)),inference(resolution,[status(thm)],[c120, c106])).
% 0.39/0.61  cnf(c145,plain,rinvR(skolem0002(i2003_11_14_17_19_39537),i2003_11_14_17_19_39537),inference(resolution,[status(thm)],[c143, c19])).
% 0.39/0.61  cnf(c155,plain,~cUnsatisfiable(i2003_11_14_17_19_39537)|~cp1(i2003_11_14_17_19_39537),inference(resolution,[status(thm)],[c145, c40])).
% 0.39/0.61  cnf(c157,plain,~cUnsatisfiable(i2003_11_14_17_19_39537),inference(resolution,[status(thm)],[c155, c99])).
% 0.39/0.61  cnf(c158,plain,$false,inference(resolution,[status(thm)],[c157, c10])).
% 0.39/0.61  % SZS output end CNFRefutation
% 0.39/0.61  
% 0.39/0.61  % Initial clauses    : 45
% 0.39/0.61  % Processed clauses  : 56
% 0.39/0.61  % Factors computed   : 5
% 0.39/0.61  % Resolvents computed: 55
% 0.39/0.61  % Tautologies deleted: 8
% 0.39/0.61  % Forward subsumed   : 18
% 0.39/0.61  % Backward subsumed  : 2
% 0.39/0.61  % -------- CPU Time ---------
% 0.39/0.61  % User time          : 0.232 s
% 0.39/0.61  % System time        : 0.014 s
% 0.39/0.61  % Total time         : 0.246 s
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