TSTP Solution File: KRS084+1 by PyRes---1.5
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- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : KRS084+1 : TPTP v8.1.2. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n026.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 0.60s 0.81s
% Output : Refutation 0.60s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : KRS084+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 : n026.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 00:05:53 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.60/0.81 % Version: 1.5
% 0.60/0.81 % SZS status Unsatisfiable
% 0.60/0.81 % SZS output start CNFRefutation
% 0.60/0.81 fof(axiom_8,axiom,cUnsatisfiable(i2003_11_14_17_19_35232),file('/export/starexec/sandbox/benchmark/theBenchmark.p', axiom_8)).
% 0.60/0.81 cnf(c14,plain,cUnsatisfiable(i2003_11_14_17_19_35232),inference(split_conjunct,[status(thm)],[axiom_8])).
% 0.60/0.81 fof(axiom_6,axiom,(![X]:(![Y]:(rinvR(X,Y)<=>rr(Y,X)))),file('/export/starexec/sandbox/benchmark/theBenchmark.p', axiom_6)).
% 0.60/0.81 fof(c18,plain,(![X]:(![Y]:((~rinvR(X,Y)|rr(Y,X))&(~rr(Y,X)|rinvR(X,Y))))),inference(fof_nnf,[status(thm)],[axiom_6])).
% 0.60/0.81 fof(c19,plain,((![X]:(![Y]:(~rinvR(X,Y)|rr(Y,X))))&(![X]:(![Y]:(~rr(Y,X)|rinvR(X,Y))))),inference(shift_quantors,[status(thm)],[c18])).
% 0.60/0.81 fof(c21,plain,(![X7]:(![X8]:(![X9]:(![X10]:((~rinvR(X7,X8)|rr(X8,X7))&(~rr(X10,X9)|rinvR(X9,X10))))))),inference(shift_quantors,[status(thm)],[fof(c20,plain,((![X7]:(![X8]:(~rinvR(X7,X8)|rr(X8,X7))))&(![X9]:(![X10]:(~rr(X10,X9)|rinvR(X9,X10))))),inference(variable_rename,[status(thm)],[c19])).])).
% 0.60/0.81 cnf(c23,plain,~rr(X90,X91)|rinvR(X91,X90),inference(split_conjunct,[status(thm)],[c21])).
% 0.60/0.81 fof(axiom_9,axiom,(![X]:(![Y]:(rf(X,Y)=>rr(X,Y)))),file('/export/starexec/sandbox/benchmark/theBenchmark.p', axiom_9)).
% 0.60/0.81 fof(c11,plain,(![X]:(![Y]:(~rf(X,Y)|rr(X,Y)))),inference(fof_nnf,[status(thm)],[axiom_9])).
% 0.60/0.81 fof(c12,plain,(![X2]:(![X3]:(~rf(X2,X3)|rr(X2,X3)))),inference(variable_rename,[status(thm)],[c11])).
% 0.60/0.81 cnf(c13,plain,~rf(X86,X87)|rr(X86,X87),inference(split_conjunct,[status(thm)],[c12])).
% 0.60/0.81 fof(axiom_5,axiom,(![X]:(![Y]:(rinvF(X,Y)<=>rf(Y,X)))),file('/export/starexec/sandbox/benchmark/theBenchmark.p', axiom_5)).
% 0.60/0.81 fof(c24,plain,(![X]:(![Y]:((~rinvF(X,Y)|rf(Y,X))&(~rf(Y,X)|rinvF(X,Y))))),inference(fof_nnf,[status(thm)],[axiom_5])).
% 0.60/0.81 fof(c25,plain,((![X]:(![Y]:(~rinvF(X,Y)|rf(Y,X))))&(![X]:(![Y]:(~rf(Y,X)|rinvF(X,Y))))),inference(shift_quantors,[status(thm)],[c24])).
% 0.60/0.81 fof(c27,plain,(![X11]:(![X12]:(![X13]:(![X14]:((~rinvF(X11,X12)|rf(X12,X11))&(~rf(X14,X13)|rinvF(X13,X14))))))),inference(shift_quantors,[status(thm)],[fof(c26,plain,((![X11]:(![X12]:(~rinvF(X11,X12)|rf(X12,X11))))&(![X13]:(![X14]:(~rf(X14,X13)|rinvF(X13,X14))))),inference(variable_rename,[status(thm)],[c25])).])).
% 0.60/0.81 cnf(c28,plain,~rinvF(X93,X92)|rf(X92,X93),inference(split_conjunct,[status(thm)],[c27])).
% 0.60/0.81 fof(axiom_2,axiom,(![X]:(cUnsatisfiable(X)<=>(((?[Y]:(rinvF(X,Y)&cd(Y)))&(![Y]:(rinvR(X,Y)=>(?[Z]:(rinvF(Y,Z)&cd(Z))))))&(~cc(X))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p', axiom_2)).
% 0.60/0.81 fof(c44,plain,(![X]:(cUnsatisfiable(X)<=>(((?[Y]:(rinvF(X,Y)&cd(Y)))&(![Y]:(rinvR(X,Y)=>(?[Z]:(rinvF(Y,Z)&cd(Z))))))&~cc(X)))),inference(fof_simplification,[status(thm)],[axiom_2])).
% 0.60/0.81 fof(c45,plain,(![X]:((~cUnsatisfiable(X)|(((?[Y]:(rinvF(X,Y)&cd(Y)))&(![Y]:(~rinvR(X,Y)|(?[Z]:(rinvF(Y,Z)&cd(Z))))))&~cc(X)))&((((![Y]:(~rinvF(X,Y)|~cd(Y)))|(?[Y]:(rinvR(X,Y)&(![Z]:(~rinvF(Y,Z)|~cd(Z))))))|cc(X))|cUnsatisfiable(X)))),inference(fof_nnf,[status(thm)],[c44])).
% 0.60/0.81 fof(c46,plain,((![X]:(~cUnsatisfiable(X)|(((?[Y]:(rinvF(X,Y)&cd(Y)))&(![Y]:(~rinvR(X,Y)|(?[Z]:(rinvF(Y,Z)&cd(Z))))))&~cc(X))))&(![X]:((((![Y]:(~rinvF(X,Y)|~cd(Y)))|(?[Y]:(rinvR(X,Y)&(![Z]:(~rinvF(Y,Z)|~cd(Z))))))|cc(X))|cUnsatisfiable(X)))),inference(shift_quantors,[status(thm)],[c45])).
% 0.60/0.81 fof(c47,plain,((![X22]:(~cUnsatisfiable(X22)|(((?[X23]:(rinvF(X22,X23)&cd(X23)))&(![X24]:(~rinvR(X22,X24)|(?[X25]:(rinvF(X24,X25)&cd(X25))))))&~cc(X22))))&(![X26]:((((![X27]:(~rinvF(X26,X27)|~cd(X27)))|(?[X28]:(rinvR(X26,X28)&(![X29]:(~rinvF(X28,X29)|~cd(X29))))))|cc(X26))|cUnsatisfiable(X26)))),inference(variable_rename,[status(thm)],[c46])).
% 0.60/0.81 fof(c49,plain,(![X22]:(![X24]:(![X26]:(![X27]:(![X29]:((~cUnsatisfiable(X22)|(((rinvF(X22,skolem0002(X22))&cd(skolem0002(X22)))&(~rinvR(X22,X24)|(rinvF(X24,skolem0003(X22,X24))&cd(skolem0003(X22,X24)))))&~cc(X22)))&((((~rinvF(X26,X27)|~cd(X27))|(rinvR(X26,skolem0004(X26))&(~rinvF(skolem0004(X26),X29)|~cd(X29))))|cc(X26))|cUnsatisfiable(X26)))))))),inference(shift_quantors,[status(thm)],[fof(c48,plain,((![X22]:(~cUnsatisfiable(X22)|(((rinvF(X22,skolem0002(X22))&cd(skolem0002(X22)))&(![X24]:(~rinvR(X22,X24)|(rinvF(X24,skolem0003(X22,X24))&cd(skolem0003(X22,X24))))))&~cc(X22))))&(![X26]:((((![X27]:(~rinvF(X26,X27)|~cd(X27)))|(rinvR(X26,skolem0004(X26))&(![X29]:(~rinvF(skolem0004(X26),X29)|~cd(X29)))))|cc(X26))|cUnsatisfiable(X26)))),inference(skolemize,[status(esa)],[c47])).])).
% 0.60/0.81 fof(c50,plain,(![X22]:(![X24]:(![X26]:(![X27]:(![X29]:(((((~cUnsatisfiable(X22)|rinvF(X22,skolem0002(X22)))&(~cUnsatisfiable(X22)|cd(skolem0002(X22))))&((~cUnsatisfiable(X22)|(~rinvR(X22,X24)|rinvF(X24,skolem0003(X22,X24))))&(~cUnsatisfiable(X22)|(~rinvR(X22,X24)|cd(skolem0003(X22,X24))))))&(~cUnsatisfiable(X22)|~cc(X22)))&(((((~rinvF(X26,X27)|~cd(X27))|rinvR(X26,skolem0004(X26)))|cc(X26))|cUnsatisfiable(X26))&((((~rinvF(X26,X27)|~cd(X27))|(~rinvF(skolem0004(X26),X29)|~cd(X29)))|cc(X26))|cUnsatisfiable(X26))))))))),inference(distribute,[status(thm)],[c49])).
% 0.60/0.81 cnf(c51,plain,~cUnsatisfiable(X111)|rinvF(X111,skolem0002(X111)),inference(split_conjunct,[status(thm)],[c50])).
% 0.60/0.81 cnf(c127,plain,rinvF(i2003_11_14_17_19_35232,skolem0002(i2003_11_14_17_19_35232)),inference(resolution,[status(thm)],[c51, c14])).
% 0.60/0.81 cnf(c128,plain,rf(skolem0002(i2003_11_14_17_19_35232),i2003_11_14_17_19_35232),inference(resolution,[status(thm)],[c127, c28])).
% 0.60/0.81 cnf(c130,plain,rr(skolem0002(i2003_11_14_17_19_35232),i2003_11_14_17_19_35232),inference(resolution,[status(thm)],[c128, c13])).
% 0.60/0.81 cnf(c131,plain,rinvR(i2003_11_14_17_19_35232,skolem0002(i2003_11_14_17_19_35232)),inference(resolution,[status(thm)],[c130, c23])).
% 0.60/0.81 cnf(c54,plain,~cUnsatisfiable(X193)|~rinvR(X193,X192)|cd(skolem0003(X193,X192)),inference(split_conjunct,[status(thm)],[c50])).
% 0.60/0.81 cnf(c178,plain,~cUnsatisfiable(i2003_11_14_17_19_35232)|cd(skolem0003(i2003_11_14_17_19_35232,skolem0002(i2003_11_14_17_19_35232))),inference(resolution,[status(thm)],[c54, c131])).
% 0.60/0.81 cnf(c235,plain,cd(skolem0003(i2003_11_14_17_19_35232,skolem0002(i2003_11_14_17_19_35232))),inference(resolution,[status(thm)],[c178, c14])).
% 0.60/0.81 fof(axiom_3,axiom,(![X]:(cd(X)<=>((?[Y]:(rf(X,Y)&(~cc(Y))))&cc(X)))),file('/export/starexec/sandbox/benchmark/theBenchmark.p', axiom_3)).
% 0.60/0.81 fof(c33,plain,(![X]:(cd(X)<=>((?[Y]:(rf(X,Y)&~cc(Y)))&cc(X)))),inference(fof_simplification,[status(thm)],[axiom_3])).
% 0.60/0.81 fof(c34,plain,(![X]:((~cd(X)|((?[Y]:(rf(X,Y)&~cc(Y)))&cc(X)))&(((![Y]:(~rf(X,Y)|cc(Y)))|~cc(X))|cd(X)))),inference(fof_nnf,[status(thm)],[c33])).
% 0.60/0.81 fof(c35,plain,((![X]:(~cd(X)|((?[Y]:(rf(X,Y)&~cc(Y)))&cc(X))))&(![X]:(((![Y]:(~rf(X,Y)|cc(Y)))|~cc(X))|cd(X)))),inference(shift_quantors,[status(thm)],[c34])).
% 0.60/0.81 fof(c36,plain,((![X18]:(~cd(X18)|((?[X19]:(rf(X18,X19)&~cc(X19)))&cc(X18))))&(![X20]:(((![X21]:(~rf(X20,X21)|cc(X21)))|~cc(X20))|cd(X20)))),inference(variable_rename,[status(thm)],[c35])).
% 0.60/0.81 fof(c38,plain,(![X18]:(![X20]:(![X21]:((~cd(X18)|((rf(X18,skolem0001(X18))&~cc(skolem0001(X18)))&cc(X18)))&(((~rf(X20,X21)|cc(X21))|~cc(X20))|cd(X20)))))),inference(shift_quantors,[status(thm)],[fof(c37,plain,((![X18]:(~cd(X18)|((rf(X18,skolem0001(X18))&~cc(skolem0001(X18)))&cc(X18))))&(![X20]:(((![X21]:(~rf(X20,X21)|cc(X21)))|~cc(X20))|cd(X20)))),inference(skolemize,[status(esa)],[c36])).])).
% 0.60/0.81 fof(c39,plain,(![X18]:(![X20]:(![X21]:((((~cd(X18)|rf(X18,skolem0001(X18)))&(~cd(X18)|~cc(skolem0001(X18))))&(~cd(X18)|cc(X18)))&(((~rf(X20,X21)|cc(X21))|~cc(X20))|cd(X20)))))),inference(distribute,[status(thm)],[c38])).
% 0.60/0.81 cnf(c41,plain,~cd(X99)|~cc(skolem0001(X99)),inference(split_conjunct,[status(thm)],[c39])).
% 0.60/0.81 cnf(c42,plain,~cd(X75)|cc(X75),inference(split_conjunct,[status(thm)],[c39])).
% 0.60/0.81 cnf(c52,plain,~cUnsatisfiable(X100)|cd(skolem0002(X100)),inference(split_conjunct,[status(thm)],[c50])).
% 0.60/0.81 cnf(c121,plain,cd(skolem0002(i2003_11_14_17_19_35232)),inference(resolution,[status(thm)],[c52, c14])).
% 0.60/0.81 cnf(c2,axiom,X108!=X109|~cd(X108)|cd(X109),theory(equality)).
% 0.60/0.81 cnf(symmetry,axiom,X77!=X76|X76=X77,theory(equality)).
% 0.60/0.81 cnf(c40,plain,~cd(X107)|rf(X107,skolem0001(X107)),inference(split_conjunct,[status(thm)],[c39])).
% 0.60/0.81 cnf(c236,plain,rf(skolem0003(i2003_11_14_17_19_35232,skolem0002(i2003_11_14_17_19_35232)),skolem0001(skolem0003(i2003_11_14_17_19_35232,skolem0002(i2003_11_14_17_19_35232)))),inference(resolution,[status(thm)],[c235, c40])).
% 0.60/0.81 fof(axiom_4,axiom,(![X]:(![Y]:(![Z]:((rf(X,Y)&rf(X,Z))=>Y=Z)))),file('/export/starexec/sandbox/benchmark/theBenchmark.p', axiom_4)).
% 0.60/0.81 fof(c30,plain,(![X]:(![Y]:(![Z]:((~rf(X,Y)|~rf(X,Z))|Y=Z)))),inference(fof_nnf,[status(thm)],[axiom_4])).
% 0.60/0.81 fof(c31,plain,(![X15]:(![X16]:(![X17]:((~rf(X15,X16)|~rf(X15,X17))|X16=X17)))),inference(variable_rename,[status(thm)],[c30])).
% 0.60/0.81 cnf(c32,plain,~rf(X153,X154)|~rf(X153,X152)|X154=X152,inference(split_conjunct,[status(thm)],[c31])).
% 0.60/0.81 cnf(c53,plain,~cUnsatisfiable(X190)|~rinvR(X190,X189)|rinvF(X189,skolem0003(X190,X189)),inference(split_conjunct,[status(thm)],[c50])).
% 0.60/0.81 cnf(c161,plain,~cUnsatisfiable(i2003_11_14_17_19_35232)|rinvF(skolem0002(i2003_11_14_17_19_35232),skolem0003(i2003_11_14_17_19_35232,skolem0002(i2003_11_14_17_19_35232))),inference(resolution,[status(thm)],[c53, c131])).
% 0.60/0.81 cnf(c241,plain,rinvF(skolem0002(i2003_11_14_17_19_35232),skolem0003(i2003_11_14_17_19_35232,skolem0002(i2003_11_14_17_19_35232))),inference(resolution,[status(thm)],[c161, c14])).
% 0.60/0.81 cnf(c245,plain,rf(skolem0003(i2003_11_14_17_19_35232,skolem0002(i2003_11_14_17_19_35232)),skolem0002(i2003_11_14_17_19_35232)),inference(resolution,[status(thm)],[c241, c28])).
% 0.60/0.81 cnf(c248,plain,~rf(skolem0003(i2003_11_14_17_19_35232,skolem0002(i2003_11_14_17_19_35232)),X253)|X253=skolem0002(i2003_11_14_17_19_35232),inference(resolution,[status(thm)],[c245, c32])).
% 0.60/0.81 cnf(c355,plain,skolem0001(skolem0003(i2003_11_14_17_19_35232,skolem0002(i2003_11_14_17_19_35232)))=skolem0002(i2003_11_14_17_19_35232),inference(resolution,[status(thm)],[c248, c236])).
% 0.60/0.81 cnf(c360,plain,skolem0002(i2003_11_14_17_19_35232)=skolem0001(skolem0003(i2003_11_14_17_19_35232,skolem0002(i2003_11_14_17_19_35232))),inference(resolution,[status(thm)],[c355, symmetry])).
% 0.60/0.81 cnf(c365,plain,~cd(skolem0002(i2003_11_14_17_19_35232))|cd(skolem0001(skolem0003(i2003_11_14_17_19_35232,skolem0002(i2003_11_14_17_19_35232)))),inference(resolution,[status(thm)],[c360, c2])).
% 0.60/0.81 cnf(c436,plain,cd(skolem0001(skolem0003(i2003_11_14_17_19_35232,skolem0002(i2003_11_14_17_19_35232)))),inference(resolution,[status(thm)],[c365, c121])).
% 0.60/0.81 cnf(c438,plain,cc(skolem0001(skolem0003(i2003_11_14_17_19_35232,skolem0002(i2003_11_14_17_19_35232)))),inference(resolution,[status(thm)],[c436, c42])).
% 0.60/0.81 cnf(c439,plain,~cd(skolem0003(i2003_11_14_17_19_35232,skolem0002(i2003_11_14_17_19_35232))),inference(resolution,[status(thm)],[c438, c41])).
% 0.60/0.81 cnf(c441,plain,$false,inference(resolution,[status(thm)],[c439, c235])).
% 0.60/0.81 % SZS output end CNFRefutation
% 0.60/0.81
% 0.60/0.81 % Initial clauses : 52
% 0.60/0.81 % Processed clauses : 167
% 0.60/0.81 % Factors computed : 3
% 0.60/0.81 % Resolvents computed: 323
% 0.60/0.81 % Tautologies deleted: 9
% 0.60/0.81 % Forward subsumed : 107
% 0.60/0.81 % Backward subsumed : 7
% 0.60/0.81 % -------- CPU Time ---------
% 0.60/0.81 % User time : 0.444 s
% 0.60/0.81 % System time : 0.010 s
% 0.60/0.81 % Total time : 0.454 s
%------------------------------------------------------------------------------