TSTP Solution File: KRS077+1 by PyRes---1.5
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- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : KRS077+1 : TPTP v8.1.2. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n014.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 17:28:38 EDT 2024
% Result : Unsatisfiable 0.42s 0.60s
% Output : Refutation 0.42s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : KRS077+1 : TPTP v8.1.2. Released v3.1.0.
% 0.12/0.14 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.35 % Computer : n014.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Thu May 9 00:11:08 EDT 2024
% 0.13/0.36 % CPUTime :
% 0.42/0.60 % Version: 1.5
% 0.42/0.60 % SZS status Unsatisfiable
% 0.42/0.60 % SZS output start CNFRefutation
% 0.42/0.60 fof(axiom_4,axiom,cUnsatisfiable(i2003_11_14_17_19_09372),file('/export/starexec/sandbox2/benchmark/theBenchmark.p', axiom_4)).
% 0.42/0.60 cnf(c12,plain,cUnsatisfiable(i2003_11_14_17_19_09372),inference(split_conjunct,[status(thm)],[axiom_4])).
% 0.42/0.60 fof(axiom_2,axiom,(![X]:(cUnsatisfiable(X)<=>((((![Y0]:(![Y1]:((rr(X,Y0)&rr(X,Y1))=>Y0=Y1)))&(?[Y]:(rr(X,Y)&(![Z]:(rinvS(Y,Z)=>cp(Z))))))&(~cp(X)))&(?[Y]:(rs(X,Y)&cp(Y)))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p', axiom_2)).
% 0.42/0.60 fof(c19,plain,(![X]:(cUnsatisfiable(X)<=>((((![Y0]:(![Y1]:((rr(X,Y0)&rr(X,Y1))=>Y0=Y1)))&(?[Y]:(rr(X,Y)&(![Z]:(rinvS(Y,Z)=>cp(Z))))))&~cp(X))&(?[Y]:(rs(X,Y)&cp(Y)))))),inference(fof_simplification,[status(thm)],[axiom_2])).
% 0.42/0.60 fof(c20,plain,(![X]:((~cUnsatisfiable(X)|((((![Y0]:(![Y1]:((~rr(X,Y0)|~rr(X,Y1))|Y0=Y1)))&(?[Y]:(rr(X,Y)&(![Z]:(~rinvS(Y,Z)|cp(Z))))))&~cp(X))&(?[Y]:(rs(X,Y)&cp(Y)))))&(((((?[Y0]:(?[Y1]:((rr(X,Y0)&rr(X,Y1))&Y0!=Y1)))|(![Y]:(~rr(X,Y)|(?[Z]:(rinvS(Y,Z)&~cp(Z))))))|cp(X))|(![Y]:(~rs(X,Y)|~cp(Y))))|cUnsatisfiable(X)))),inference(fof_nnf,[status(thm)],[c19])).
% 0.42/0.60 fof(c21,plain,((![X]:(~cUnsatisfiable(X)|((((![Y0]:(![Y1]:((~rr(X,Y0)|~rr(X,Y1))|Y0=Y1)))&(?[Y]:(rr(X,Y)&(![Z]:(~rinvS(Y,Z)|cp(Z))))))&~cp(X))&(?[Y]:(rs(X,Y)&cp(Y))))))&(![X]:(((((?[Y0]:(?[Y1]:((rr(X,Y0)&rr(X,Y1))&Y0!=Y1)))|(![Y]:(~rr(X,Y)|(?[Z]:(rinvS(Y,Z)&~cp(Z))))))|cp(X))|(![Y]:(~rs(X,Y)|~cp(Y))))|cUnsatisfiable(X)))),inference(shift_quantors,[status(thm)],[c20])).
% 0.42/0.60 fof(c22,plain,((![X8]:(~cUnsatisfiable(X8)|((((![X9]:(![X10]:((~rr(X8,X9)|~rr(X8,X10))|X9=X10)))&(?[X11]:(rr(X8,X11)&(![X12]:(~rinvS(X11,X12)|cp(X12))))))&~cp(X8))&(?[X13]:(rs(X8,X13)&cp(X13))))))&(![X14]:(((((?[X15]:(?[X16]:((rr(X14,X15)&rr(X14,X16))&X15!=X16)))|(![X17]:(~rr(X14,X17)|(?[X18]:(rinvS(X17,X18)&~cp(X18))))))|cp(X14))|(![X19]:(~rs(X14,X19)|~cp(X19))))|cUnsatisfiable(X14)))),inference(variable_rename,[status(thm)],[c21])).
% 0.42/0.60 fof(c24,plain,(![X8]:(![X9]:(![X10]:(![X12]:(![X14]:(![X17]:(![X19]:((~cUnsatisfiable(X8)|(((((~rr(X8,X9)|~rr(X8,X10))|X9=X10)&(rr(X8,skolem0001(X8))&(~rinvS(skolem0001(X8),X12)|cp(X12))))&~cp(X8))&(rs(X8,skolem0002(X8))&cp(skolem0002(X8)))))&((((((rr(X14,skolem0003(X14))&rr(X14,skolem0004(X14)))&skolem0003(X14)!=skolem0004(X14))|(~rr(X14,X17)|(rinvS(X17,skolem0005(X14,X17))&~cp(skolem0005(X14,X17)))))|cp(X14))|(~rs(X14,X19)|~cp(X19)))|cUnsatisfiable(X14)))))))))),inference(shift_quantors,[status(thm)],[fof(c23,plain,((![X8]:(~cUnsatisfiable(X8)|((((![X9]:(![X10]:((~rr(X8,X9)|~rr(X8,X10))|X9=X10)))&(rr(X8,skolem0001(X8))&(![X12]:(~rinvS(skolem0001(X8),X12)|cp(X12)))))&~cp(X8))&(rs(X8,skolem0002(X8))&cp(skolem0002(X8))))))&(![X14]:((((((rr(X14,skolem0003(X14))&rr(X14,skolem0004(X14)))&skolem0003(X14)!=skolem0004(X14))|(![X17]:(~rr(X14,X17)|(rinvS(X17,skolem0005(X14,X17))&~cp(skolem0005(X14,X17))))))|cp(X14))|(![X19]:(~rs(X14,X19)|~cp(X19))))|cUnsatisfiable(X14)))),inference(skolemize,[status(esa)],[c22])).])).
% 0.42/0.60 fof(c25,plain,(![X8]:(![X9]:(![X10]:(![X12]:(![X14]:(![X17]:(![X19]:(((((~cUnsatisfiable(X8)|((~rr(X8,X9)|~rr(X8,X10))|X9=X10))&((~cUnsatisfiable(X8)|rr(X8,skolem0001(X8)))&(~cUnsatisfiable(X8)|(~rinvS(skolem0001(X8),X12)|cp(X12)))))&(~cUnsatisfiable(X8)|~cp(X8)))&((~cUnsatisfiable(X8)|rs(X8,skolem0002(X8)))&(~cUnsatisfiable(X8)|cp(skolem0002(X8)))))&(((((((rr(X14,skolem0003(X14))|(~rr(X14,X17)|rinvS(X17,skolem0005(X14,X17))))|cp(X14))|(~rs(X14,X19)|~cp(X19)))|cUnsatisfiable(X14))&((((rr(X14,skolem0003(X14))|(~rr(X14,X17)|~cp(skolem0005(X14,X17))))|cp(X14))|(~rs(X14,X19)|~cp(X19)))|cUnsatisfiable(X14)))&(((((rr(X14,skolem0004(X14))|(~rr(X14,X17)|rinvS(X17,skolem0005(X14,X17))))|cp(X14))|(~rs(X14,X19)|~cp(X19)))|cUnsatisfiable(X14))&((((rr(X14,skolem0004(X14))|(~rr(X14,X17)|~cp(skolem0005(X14,X17))))|cp(X14))|(~rs(X14,X19)|~cp(X19)))|cUnsatisfiable(X14))))&(((((skolem0003(X14)!=skolem0004(X14)|(~rr(X14,X17)|rinvS(X17,skolem0005(X14,X17))))|cp(X14))|(~rs(X14,X19)|~cp(X19)))|cUnsatisfiable(X14))&((((skolem0003(X14)!=skolem0004(X14)|(~rr(X14,X17)|~cp(skolem0005(X14,X17))))|cp(X14))|(~rs(X14,X19)|~cp(X19)))|cUnsatisfiable(X14)))))))))))),inference(distribute,[status(thm)],[c24])).
% 0.42/0.60 cnf(c29,plain,~cUnsatisfiable(X57)|~cp(X57),inference(split_conjunct,[status(thm)],[c25])).
% 0.42/0.60 cnf(c28,plain,~cUnsatisfiable(X115)|~rinvS(skolem0001(X115),X116)|cp(X116),inference(split_conjunct,[status(thm)],[c25])).
% 0.42/0.60 fof(axiom_3,axiom,(![X]:(![Y]:(rinvS(X,Y)<=>rs(Y,X)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p', axiom_3)).
% 0.42/0.60 fof(c13,plain,(![X]:(![Y]:((~rinvS(X,Y)|rs(Y,X))&(~rs(Y,X)|rinvS(X,Y))))),inference(fof_nnf,[status(thm)],[axiom_3])).
% 0.42/0.60 fof(c14,plain,((![X]:(![Y]:(~rinvS(X,Y)|rs(Y,X))))&(![X]:(![Y]:(~rs(Y,X)|rinvS(X,Y))))),inference(shift_quantors,[status(thm)],[c13])).
% 0.42/0.60 fof(c16,plain,(![X4]:(![X5]:(![X6]:(![X7]:((~rinvS(X4,X5)|rs(X5,X4))&(~rs(X7,X6)|rinvS(X6,X7))))))),inference(shift_quantors,[status(thm)],[fof(c15,plain,((![X4]:(![X5]:(~rinvS(X4,X5)|rs(X5,X4))))&(![X6]:(![X7]:(~rs(X7,X6)|rinvS(X6,X7))))),inference(variable_rename,[status(thm)],[c14])).])).
% 0.42/0.60 cnf(c18,plain,~rs(X72,X71)|rinvS(X71,X72),inference(split_conjunct,[status(thm)],[c16])).
% 0.42/0.60 cnf(c30,plain,~cUnsatisfiable(X83)|rs(X83,skolem0002(X83)),inference(split_conjunct,[status(thm)],[c25])).
% 0.42/0.60 cnf(c95,plain,rs(i2003_11_14_17_19_09372,skolem0002(i2003_11_14_17_19_09372)),inference(resolution,[status(thm)],[c30, c12])).
% 0.42/0.60 cnf(c96,plain,rinvS(skolem0002(i2003_11_14_17_19_09372),i2003_11_14_17_19_09372),inference(resolution,[status(thm)],[c95, c18])).
% 0.42/0.60 fof(rinvS_substitution_1,axiom,(![A]:(![B]:(![C]:((A=B&rinvS(A,C))=>rinvS(B,C))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p', rinvS_substitution_1)).
% 0.42/0.60 fof(c72,plain,(![A]:(![B]:(![C]:((A!=B|~rinvS(A,C))|rinvS(B,C))))),inference(fof_nnf,[status(thm)],[rinvS_substitution_1])).
% 0.42/0.60 fof(c73,plain,(![X43]:(![X44]:(![X45]:((X43!=X44|~rinvS(X43,X45))|rinvS(X44,X45))))),inference(variable_rename,[status(thm)],[c72])).
% 0.42/0.60 cnf(c74,plain,X138!=X136|~rinvS(X138,X137)|rinvS(X136,X137),inference(split_conjunct,[status(thm)],[c73])).
% 0.42/0.60 cnf(c113,plain,skolem0002(i2003_11_14_17_19_09372)!=X157|rinvS(X157,i2003_11_14_17_19_09372),inference(resolution,[status(thm)],[c74, c96])).
% 0.42/0.60 fof(axiom_5,axiom,(![X]:(![Y]:(rs(X,Y)=>rr(X,Y)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p', axiom_5)).
% 0.42/0.60 fof(c9,plain,(![X]:(![Y]:(~rs(X,Y)|rr(X,Y)))),inference(fof_nnf,[status(thm)],[axiom_5])).
% 0.42/0.60 fof(c10,plain,(![X2]:(![X3]:(~rs(X2,X3)|rr(X2,X3)))),inference(variable_rename,[status(thm)],[c9])).
% 0.42/0.60 cnf(c11,plain,~rs(X65,X64)|rr(X65,X64),inference(split_conjunct,[status(thm)],[c10])).
% 0.42/0.60 cnf(c97,plain,rr(i2003_11_14_17_19_09372,skolem0002(i2003_11_14_17_19_09372)),inference(resolution,[status(thm)],[c95, c11])).
% 0.42/0.60 cnf(c27,plain,~cUnsatisfiable(X80)|rr(X80,skolem0001(X80)),inference(split_conjunct,[status(thm)],[c25])).
% 0.42/0.60 cnf(c94,plain,rr(i2003_11_14_17_19_09372,skolem0001(i2003_11_14_17_19_09372)),inference(resolution,[status(thm)],[c27, c12])).
% 0.42/0.60 cnf(c26,plain,~cUnsatisfiable(X140)|~rr(X140,X141)|~rr(X140,X142)|X141=X142,inference(split_conjunct,[status(thm)],[c25])).
% 0.42/0.60 cnf(c116,plain,~cUnsatisfiable(i2003_11_14_17_19_09372)|~rr(i2003_11_14_17_19_09372,X176)|X176=skolem0001(i2003_11_14_17_19_09372),inference(resolution,[status(thm)],[c26, c94])).
% 0.42/0.60 cnf(c134,plain,~cUnsatisfiable(i2003_11_14_17_19_09372)|skolem0002(i2003_11_14_17_19_09372)=skolem0001(i2003_11_14_17_19_09372),inference(resolution,[status(thm)],[c116, c97])).
% 0.42/0.60 cnf(c135,plain,skolem0002(i2003_11_14_17_19_09372)=skolem0001(i2003_11_14_17_19_09372),inference(resolution,[status(thm)],[c134, c12])).
% 0.42/0.60 cnf(c140,plain,rinvS(skolem0001(i2003_11_14_17_19_09372),i2003_11_14_17_19_09372),inference(resolution,[status(thm)],[c135, c113])).
% 0.42/0.60 cnf(c149,plain,~cUnsatisfiable(i2003_11_14_17_19_09372)|cp(i2003_11_14_17_19_09372),inference(resolution,[status(thm)],[c140, c28])).
% 0.42/0.60 cnf(c160,plain,cp(i2003_11_14_17_19_09372),inference(resolution,[status(thm)],[c149, c12])).
% 0.42/0.60 cnf(c161,plain,~cUnsatisfiable(i2003_11_14_17_19_09372),inference(resolution,[status(thm)],[c160, c29])).
% 0.42/0.60 cnf(c162,plain,$false,inference(resolution,[status(thm)],[c161, c12])).
% 0.42/0.60 % SZS output end CNFRefutation
% 0.42/0.60
% 0.42/0.60 % Initial clauses : 44
% 0.42/0.60 % Processed clauses : 62
% 0.42/0.60 % Factors computed : 4
% 0.42/0.60 % Resolvents computed: 72
% 0.42/0.60 % Tautologies deleted: 7
% 0.42/0.60 % Forward subsumed : 27
% 0.42/0.60 % Backward subsumed : 3
% 0.42/0.60 % -------- CPU Time ---------
% 0.42/0.60 % User time : 0.230 s
% 0.42/0.60 % System time : 0.013 s
% 0.42/0.60 % Total time : 0.243 s
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