TSTP Solution File: KRS111+1 by PyRes---1.5
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- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : KRS111+1 : TPTP v8.1.2. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n019.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 17:28:44 EDT 2024
% Result : Unsatisfiable 0.52s 0.69s
% Output : Refutation 0.52s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : KRS111+1 : TPTP v8.1.2. Released v3.1.0.
% 0.07/0.14 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.35 % Computer : n019.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 00:11:23 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.52/0.69 % Version: 1.5
% 0.52/0.69 % SZS status Unsatisfiable
% 0.52/0.69 % SZS output start CNFRefutation
% 0.52/0.69 fof(axiom_3,axiom,(![X]:(cp(X)<=>(~(?[Y]:ra_Px1(X,Y))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p', axiom_3)).
% 0.52/0.69 fof(c55,plain,(![X]:((~cp(X)|(![Y]:~ra_Px1(X,Y)))&((?[Y]:ra_Px1(X,Y))|cp(X)))),inference(fof_nnf,[status(thm)],[axiom_3])).
% 0.52/0.69 fof(c56,plain,((![X]:(~cp(X)|(![Y]:~ra_Px1(X,Y))))&(![X]:((?[Y]:ra_Px1(X,Y))|cp(X)))),inference(shift_quantors,[status(thm)],[c55])).
% 0.52/0.69 fof(c57,plain,((![X31]:(~cp(X31)|(![X32]:~ra_Px1(X31,X32))))&(![X33]:((?[X34]:ra_Px1(X33,X34))|cp(X33)))),inference(variable_rename,[status(thm)],[c56])).
% 0.52/0.69 fof(c59,plain,(![X31]:(![X32]:(![X33]:((~cp(X31)|~ra_Px1(X31,X32))&(ra_Px1(X33,skolem0002(X33))|cp(X33)))))),inference(shift_quantors,[status(thm)],[fof(c58,plain,((![X31]:(~cp(X31)|(![X32]:~ra_Px1(X31,X32))))&(![X33]:(ra_Px1(X33,skolem0002(X33))|cp(X33)))),inference(skolemize,[status(esa)],[c57])).])).
% 0.52/0.69 cnf(c60,plain,~cp(X114)|~ra_Px1(X114,X115),inference(split_conjunct,[status(thm)],[c59])).
% 0.52/0.69 fof(axiom_11,axiom,cUnsatisfiable(i2003_11_14_17_21_15425),file('/export/starexec/sandbox/benchmark/theBenchmark.p', axiom_11)).
% 0.52/0.69 cnf(c20,plain,cUnsatisfiable(i2003_11_14_17_21_15425),inference(split_conjunct,[status(thm)],[axiom_11])).
% 0.52/0.69 fof(axiom_2,axiom,(![X]:(cUnsatisfiable(X)<=>(((?[Y]:(rf1(X,Y)&cpxcomp(Y)))&(?[Y]:(rs(X,Y)&cowlThing(Y))))&(?[Y]:(rf(X,Y)&cp(Y)))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p', axiom_2)).
% 0.52/0.69 fof(c62,plain,(![X]:((~cUnsatisfiable(X)|(((?[Y]:(rf1(X,Y)&cpxcomp(Y)))&(?[Y]:(rs(X,Y)&cowlThing(Y))))&(?[Y]:(rf(X,Y)&cp(Y)))))&((((![Y]:(~rf1(X,Y)|~cpxcomp(Y)))|(![Y]:(~rs(X,Y)|~cowlThing(Y))))|(![Y]:(~rf(X,Y)|~cp(Y))))|cUnsatisfiable(X)))),inference(fof_nnf,[status(thm)],[axiom_2])).
% 0.52/0.69 fof(c63,plain,((![X]:(~cUnsatisfiable(X)|(((?[Y]:(rf1(X,Y)&cpxcomp(Y)))&(?[Y]:(rs(X,Y)&cowlThing(Y))))&(?[Y]:(rf(X,Y)&cp(Y))))))&(![X]:((((![Y]:(~rf1(X,Y)|~cpxcomp(Y)))|(![Y]:(~rs(X,Y)|~cowlThing(Y))))|(![Y]:(~rf(X,Y)|~cp(Y))))|cUnsatisfiable(X)))),inference(shift_quantors,[status(thm)],[c62])).
% 0.52/0.69 fof(c64,plain,((![X35]:(~cUnsatisfiable(X35)|(((?[X36]:(rf1(X35,X36)&cpxcomp(X36)))&(?[X37]:(rs(X35,X37)&cowlThing(X37))))&(?[X38]:(rf(X35,X38)&cp(X38))))))&(![X39]:((((![X40]:(~rf1(X39,X40)|~cpxcomp(X40)))|(![X41]:(~rs(X39,X41)|~cowlThing(X41))))|(![X42]:(~rf(X39,X42)|~cp(X42))))|cUnsatisfiable(X39)))),inference(variable_rename,[status(thm)],[c63])).
% 0.52/0.69 fof(c66,plain,(![X35]:(![X39]:(![X40]:(![X41]:(![X42]:((~cUnsatisfiable(X35)|(((rf1(X35,skolem0003(X35))&cpxcomp(skolem0003(X35)))&(rs(X35,skolem0004(X35))&cowlThing(skolem0004(X35))))&(rf(X35,skolem0005(X35))&cp(skolem0005(X35)))))&((((~rf1(X39,X40)|~cpxcomp(X40))|(~rs(X39,X41)|~cowlThing(X41)))|(~rf(X39,X42)|~cp(X42)))|cUnsatisfiable(X39)))))))),inference(shift_quantors,[status(thm)],[fof(c65,plain,((![X35]:(~cUnsatisfiable(X35)|(((rf1(X35,skolem0003(X35))&cpxcomp(skolem0003(X35)))&(rs(X35,skolem0004(X35))&cowlThing(skolem0004(X35))))&(rf(X35,skolem0005(X35))&cp(skolem0005(X35))))))&(![X39]:((((![X40]:(~rf1(X39,X40)|~cpxcomp(X40)))|(![X41]:(~rs(X39,X41)|~cowlThing(X41))))|(![X42]:(~rf(X39,X42)|~cp(X42))))|cUnsatisfiable(X39)))),inference(skolemize,[status(esa)],[c64])).])).
% 0.52/0.69 fof(c67,plain,(![X35]:(![X39]:(![X40]:(![X41]:(![X42]:(((((~cUnsatisfiable(X35)|rf1(X35,skolem0003(X35)))&(~cUnsatisfiable(X35)|cpxcomp(skolem0003(X35))))&((~cUnsatisfiable(X35)|rs(X35,skolem0004(X35)))&(~cUnsatisfiable(X35)|cowlThing(skolem0004(X35)))))&((~cUnsatisfiable(X35)|rf(X35,skolem0005(X35)))&(~cUnsatisfiable(X35)|cp(skolem0005(X35)))))&((((~rf1(X39,X40)|~cpxcomp(X40))|(~rs(X39,X41)|~cowlThing(X41)))|(~rf(X39,X42)|~cp(X42)))|cUnsatisfiable(X39)))))))),inference(distribute,[status(thm)],[c66])).
% 0.52/0.69 cnf(c69,plain,~cUnsatisfiable(X138)|cpxcomp(skolem0003(X138)),inference(split_conjunct,[status(thm)],[c67])).
% 0.52/0.69 cnf(c156,plain,cpxcomp(skolem0003(i2003_11_14_17_21_15425)),inference(resolution,[status(thm)],[c69, c20])).
% 0.52/0.69 fof(axiom_4,axiom,(![X]:(cpxcomp(X)<=>(?[Y0]:ra_Px1(X,Y0)))),file('/export/starexec/sandbox/benchmark/theBenchmark.p', axiom_4)).
% 0.52/0.69 fof(c48,plain,(![X]:((~cpxcomp(X)|(?[Y0]:ra_Px1(X,Y0)))&((![Y0]:~ra_Px1(X,Y0))|cpxcomp(X)))),inference(fof_nnf,[status(thm)],[axiom_4])).
% 0.52/0.69 fof(c49,plain,((![X]:(~cpxcomp(X)|(?[Y0]:ra_Px1(X,Y0))))&(![X]:((![Y0]:~ra_Px1(X,Y0))|cpxcomp(X)))),inference(shift_quantors,[status(thm)],[c48])).
% 0.52/0.69 fof(c50,plain,((![X27]:(~cpxcomp(X27)|(?[X28]:ra_Px1(X27,X28))))&(![X29]:((![X30]:~ra_Px1(X29,X30))|cpxcomp(X29)))),inference(variable_rename,[status(thm)],[c49])).
% 0.52/0.69 fof(c52,plain,(![X27]:(![X29]:(![X30]:((~cpxcomp(X27)|ra_Px1(X27,skolem0001(X27)))&(~ra_Px1(X29,X30)|cpxcomp(X29)))))),inference(shift_quantors,[status(thm)],[fof(c51,plain,((![X27]:(~cpxcomp(X27)|ra_Px1(X27,skolem0001(X27))))&(![X29]:((![X30]:~ra_Px1(X29,X30))|cpxcomp(X29)))),inference(skolemize,[status(esa)],[c50])).])).
% 0.52/0.69 cnf(c53,plain,~cpxcomp(X148)|ra_Px1(X148,skolem0001(X148)),inference(split_conjunct,[status(thm)],[c52])).
% 0.52/0.69 cnf(c158,plain,ra_Px1(skolem0003(i2003_11_14_17_21_15425),skolem0001(skolem0003(i2003_11_14_17_21_15425))),inference(resolution,[status(thm)],[c53, c156])).
% 0.52/0.69 cnf(c232,plain,~cp(skolem0003(i2003_11_14_17_21_15425)),inference(resolution,[status(thm)],[c158, c60])).
% 0.52/0.69 cnf(c3,axiom,X153!=X152|~cp(X153)|cp(X152),theory(equality)).
% 0.52/0.69 cnf(symmetry,axiom,X107!=X108|X108=X107,theory(equality)).
% 0.52/0.69 cnf(c68,plain,~cUnsatisfiable(X155)|rf1(X155,skolem0003(X155)),inference(split_conjunct,[status(thm)],[c67])).
% 0.52/0.69 cnf(c163,plain,rf1(i2003_11_14_17_21_15425,skolem0003(i2003_11_14_17_21_15425)),inference(resolution,[status(thm)],[c68, c20])).
% 0.52/0.69 fof(axiom_13,axiom,(![X]:(![Y]:(rs(X,Y)=>rf1(X,Y)))),file('/export/starexec/sandbox/benchmark/theBenchmark.p', axiom_13)).
% 0.52/0.69 fof(c14,plain,(![X]:(![Y]:(~rs(X,Y)|rf1(X,Y)))),inference(fof_nnf,[status(thm)],[axiom_13])).
% 0.52/0.69 fof(c15,plain,(![X2]:(![X3]:(~rs(X2,X3)|rf1(X2,X3)))),inference(variable_rename,[status(thm)],[c14])).
% 0.52/0.69 cnf(c16,plain,~rs(X119,X120)|rf1(X119,X120),inference(split_conjunct,[status(thm)],[c15])).
% 0.52/0.69 cnf(c70,plain,~cUnsatisfiable(X159)|rs(X159,skolem0004(X159)),inference(split_conjunct,[status(thm)],[c67])).
% 0.52/0.69 cnf(c167,plain,rs(i2003_11_14_17_21_15425,skolem0004(i2003_11_14_17_21_15425)),inference(resolution,[status(thm)],[c70, c20])).
% 0.52/0.69 cnf(c169,plain,rf1(i2003_11_14_17_21_15425,skolem0004(i2003_11_14_17_21_15425)),inference(resolution,[status(thm)],[c167, c16])).
% 0.52/0.69 fof(axiom_6,axiom,(![X]:(![Y]:(![Z]:((rf1(X,Y)&rf1(X,Z))=>Y=Z)))),file('/export/starexec/sandbox/benchmark/theBenchmark.p', axiom_6)).
% 0.52/0.69 fof(c42,plain,(![X]:(![Y]:(![Z]:((~rf1(X,Y)|~rf1(X,Z))|Y=Z)))),inference(fof_nnf,[status(thm)],[axiom_6])).
% 0.52/0.69 fof(c43,plain,(![X21]:(![X22]:(![X23]:((~rf1(X21,X22)|~rf1(X21,X23))|X22=X23)))),inference(variable_rename,[status(thm)],[c42])).
% 0.52/0.69 cnf(c44,plain,~rf1(X214,X213)|~rf1(X214,X215)|X213=X215,inference(split_conjunct,[status(thm)],[c43])).
% 0.52/0.69 cnf(c197,plain,~rf1(i2003_11_14_17_21_15425,X277)|X277=skolem0004(i2003_11_14_17_21_15425),inference(resolution,[status(thm)],[c44, c169])).
% 0.52/0.69 cnf(c240,plain,skolem0003(i2003_11_14_17_21_15425)=skolem0004(i2003_11_14_17_21_15425),inference(resolution,[status(thm)],[c197, c163])).
% 0.52/0.69 cnf(c246,plain,skolem0004(i2003_11_14_17_21_15425)=skolem0003(i2003_11_14_17_21_15425),inference(resolution,[status(thm)],[c240, symmetry])).
% 0.52/0.69 cnf(c249,plain,~cp(skolem0004(i2003_11_14_17_21_15425))|cp(skolem0003(i2003_11_14_17_21_15425)),inference(resolution,[status(thm)],[c246, c3])).
% 0.52/0.69 cnf(c73,plain,~cUnsatisfiable(X142)|cp(skolem0005(X142)),inference(split_conjunct,[status(thm)],[c67])).
% 0.52/0.69 cnf(c157,plain,cp(skolem0005(i2003_11_14_17_21_15425)),inference(resolution,[status(thm)],[c73, c20])).
% 0.52/0.69 cnf(c72,plain,~cUnsatisfiable(X168)|rf(X168,skolem0005(X168)),inference(split_conjunct,[status(thm)],[c67])).
% 0.52/0.69 cnf(c178,plain,rf(i2003_11_14_17_21_15425,skolem0005(i2003_11_14_17_21_15425)),inference(resolution,[status(thm)],[c72, c20])).
% 0.52/0.69 fof(axiom_12,axiom,(![X]:(![Y]:(rs(X,Y)=>rf(X,Y)))),file('/export/starexec/sandbox/benchmark/theBenchmark.p', axiom_12)).
% 0.52/0.69 fof(c17,plain,(![X]:(![Y]:(~rs(X,Y)|rf(X,Y)))),inference(fof_nnf,[status(thm)],[axiom_12])).
% 0.52/0.69 fof(c18,plain,(![X4]:(![X5]:(~rs(X4,X5)|rf(X4,X5)))),inference(variable_rename,[status(thm)],[c17])).
% 0.52/0.69 cnf(c19,plain,~rs(X122,X121)|rf(X122,X121),inference(split_conjunct,[status(thm)],[c18])).
% 0.52/0.69 cnf(c168,plain,rf(i2003_11_14_17_21_15425,skolem0004(i2003_11_14_17_21_15425)),inference(resolution,[status(thm)],[c167, c19])).
% 0.52/0.69 fof(axiom_5,axiom,(![X]:(![Y]:(![Z]:((rf(X,Y)&rf(X,Z))=>Y=Z)))),file('/export/starexec/sandbox/benchmark/theBenchmark.p', axiom_5)).
% 0.52/0.69 fof(c45,plain,(![X]:(![Y]:(![Z]:((~rf(X,Y)|~rf(X,Z))|Y=Z)))),inference(fof_nnf,[status(thm)],[axiom_5])).
% 0.52/0.69 fof(c46,plain,(![X24]:(![X25]:(![X26]:((~rf(X24,X25)|~rf(X24,X26))|X25=X26)))),inference(variable_rename,[status(thm)],[c45])).
% 0.52/0.69 cnf(c47,plain,~rf(X219,X218)|~rf(X219,X220)|X218=X220,inference(split_conjunct,[status(thm)],[c46])).
% 0.52/0.69 cnf(c200,plain,~rf(i2003_11_14_17_21_15425,X283)|X283=skolem0004(i2003_11_14_17_21_15425),inference(resolution,[status(thm)],[c47, c168])).
% 0.52/0.69 cnf(c261,plain,skolem0005(i2003_11_14_17_21_15425)=skolem0004(i2003_11_14_17_21_15425),inference(resolution,[status(thm)],[c200, c178])).
% 0.52/0.69 cnf(c263,plain,~cp(skolem0005(i2003_11_14_17_21_15425))|cp(skolem0004(i2003_11_14_17_21_15425)),inference(resolution,[status(thm)],[c261, c3])).
% 0.52/0.69 cnf(c441,plain,cp(skolem0004(i2003_11_14_17_21_15425)),inference(resolution,[status(thm)],[c263, c157])).
% 0.52/0.69 cnf(c447,plain,cp(skolem0003(i2003_11_14_17_21_15425)),inference(resolution,[status(thm)],[c441, c249])).
% 0.52/0.69 cnf(c448,plain,$false,inference(resolution,[status(thm)],[c447, c232])).
% 0.52/0.69 % SZS output end CNFRefutation
% 0.52/0.69
% 0.52/0.69 % Initial clauses : 65
% 0.52/0.69 % Processed clauses : 142
% 0.52/0.69 % Factors computed : 4
% 0.52/0.69 % Resolvents computed: 294
% 0.52/0.69 % Tautologies deleted: 10
% 0.52/0.69 % Forward subsumed : 96
% 0.52/0.69 % Backward subsumed : 3
% 0.52/0.69 % -------- CPU Time ---------
% 0.52/0.69 % User time : 0.313 s
% 0.52/0.69 % System time : 0.019 s
% 0.52/0.69 % Total time : 0.332 s
%------------------------------------------------------------------------------