TSTP Solution File: KRS121+1 by PyRes---1.5
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- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : KRS121+1 : TPTP v8.1.2. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n020.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 17:28:45 EDT 2024
% Result : Unsatisfiable 0.53s 0.76s
% Output : Refutation 0.53s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : KRS121+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 : n020.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 00:05:38 EDT 2024
% 0.13/0.36 % CPUTime :
% 0.53/0.76 % Version: 1.5
% 0.53/0.76 % SZS status Unsatisfiable
% 0.53/0.76 % SZS output start CNFRefutation
% 0.53/0.76 fof(axiom_11,axiom,cUnsatisfiable(i2003_11_14_17_21_5199),file('/export/starexec/sandbox/benchmark/theBenchmark.p', axiom_11)).
% 0.53/0.76 cnf(c14,plain,cUnsatisfiable(i2003_11_14_17_21_5199),inference(split_conjunct,[status(thm)],[axiom_11])).
% 0.53/0.76 fof(axiom_2,axiom,(![X]:(cUnsatisfiable(X)<=>((?[Y]:(rr(X,Y)&ca_Vx3(Y)))&cp1(X)))),file('/export/starexec/sandbox/benchmark/theBenchmark.p', axiom_2)).
% 0.53/0.76 fof(c66,plain,(![X]:((~cUnsatisfiable(X)|((?[Y]:(rr(X,Y)&ca_Vx3(Y)))&cp1(X)))&(((![Y]:(~rr(X,Y)|~ca_Vx3(Y)))|~cp1(X))|cUnsatisfiable(X)))),inference(fof_nnf,[status(thm)],[axiom_2])).
% 0.53/0.76 fof(c67,plain,((![X]:(~cUnsatisfiable(X)|((?[Y]:(rr(X,Y)&ca_Vx3(Y)))&cp1(X))))&(![X]:(((![Y]:(~rr(X,Y)|~ca_Vx3(Y)))|~cp1(X))|cUnsatisfiable(X)))),inference(shift_quantors,[status(thm)],[c66])).
% 0.53/0.76 fof(c68,plain,((![X32]:(~cUnsatisfiable(X32)|((?[X33]:(rr(X32,X33)&ca_Vx3(X33)))&cp1(X32))))&(![X34]:(((![X35]:(~rr(X34,X35)|~ca_Vx3(X35)))|~cp1(X34))|cUnsatisfiable(X34)))),inference(variable_rename,[status(thm)],[c67])).
% 0.53/0.76 fof(c70,plain,(![X32]:(![X34]:(![X35]:((~cUnsatisfiable(X32)|((rr(X32,skolem0005(X32))&ca_Vx3(skolem0005(X32)))&cp1(X32)))&(((~rr(X34,X35)|~ca_Vx3(X35))|~cp1(X34))|cUnsatisfiable(X34)))))),inference(shift_quantors,[status(thm)],[fof(c69,plain,((![X32]:(~cUnsatisfiable(X32)|((rr(X32,skolem0005(X32))&ca_Vx3(skolem0005(X32)))&cp1(X32))))&(![X34]:(((![X35]:(~rr(X34,X35)|~ca_Vx3(X35)))|~cp1(X34))|cUnsatisfiable(X34)))),inference(skolemize,[status(esa)],[c68])).])).
% 0.53/0.76 fof(c71,plain,(![X32]:(![X34]:(![X35]:((((~cUnsatisfiable(X32)|rr(X32,skolem0005(X32)))&(~cUnsatisfiable(X32)|ca_Vx3(skolem0005(X32))))&(~cUnsatisfiable(X32)|cp1(X32)))&(((~rr(X34,X35)|~ca_Vx3(X35))|~cp1(X34))|cUnsatisfiable(X34)))))),inference(distribute,[status(thm)],[c70])).
% 0.53/0.76 cnf(c74,plain,~cUnsatisfiable(X95)|cp1(X95),inference(split_conjunct,[status(thm)],[c71])).
% 0.53/0.76 cnf(c147,plain,cp1(i2003_11_14_17_21_5199),inference(resolution,[status(thm)],[c74, c14])).
% 0.53/0.76 fof(axiom_3,axiom,(![X]:(cp1(X)<=>(~(?[Y]:ra_Px1(X,Y))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p', axiom_3)).
% 0.53/0.76 fof(c59,plain,(![X]:((~cp1(X)|(![Y]:~ra_Px1(X,Y)))&((?[Y]:ra_Px1(X,Y))|cp1(X)))),inference(fof_nnf,[status(thm)],[axiom_3])).
% 0.53/0.76 fof(c60,plain,((![X]:(~cp1(X)|(![Y]:~ra_Px1(X,Y))))&(![X]:((?[Y]:ra_Px1(X,Y))|cp1(X)))),inference(shift_quantors,[status(thm)],[c59])).
% 0.53/0.76 fof(c61,plain,((![X28]:(~cp1(X28)|(![X29]:~ra_Px1(X28,X29))))&(![X30]:((?[X31]:ra_Px1(X30,X31))|cp1(X30)))),inference(variable_rename,[status(thm)],[c60])).
% 0.53/0.76 fof(c63,plain,(![X28]:(![X29]:(![X30]:((~cp1(X28)|~ra_Px1(X28,X29))&(ra_Px1(X30,skolem0004(X30))|cp1(X30)))))),inference(shift_quantors,[status(thm)],[fof(c62,plain,((![X28]:(~cp1(X28)|(![X29]:~ra_Px1(X28,X29))))&(![X30]:(ra_Px1(X30,skolem0004(X30))|cp1(X30)))),inference(skolemize,[status(esa)],[c61])).])).
% 0.53/0.76 cnf(c64,plain,~cp1(X105)|~ra_Px1(X105,X104),inference(split_conjunct,[status(thm)],[c63])).
% 0.53/0.76 fof(axiom_4,axiom,(![X]:(cp1xcomp(X)<=>(?[Y0]:ra_Px1(X,Y0)))),file('/export/starexec/sandbox/benchmark/theBenchmark.p', axiom_4)).
% 0.53/0.76 fof(c52,plain,(![X]:((~cp1xcomp(X)|(?[Y0]:ra_Px1(X,Y0)))&((![Y0]:~ra_Px1(X,Y0))|cp1xcomp(X)))),inference(fof_nnf,[status(thm)],[axiom_4])).
% 0.53/0.76 fof(c53,plain,((![X]:(~cp1xcomp(X)|(?[Y0]:ra_Px1(X,Y0))))&(![X]:((![Y0]:~ra_Px1(X,Y0))|cp1xcomp(X)))),inference(shift_quantors,[status(thm)],[c52])).
% 0.53/0.76 fof(c54,plain,((![X24]:(~cp1xcomp(X24)|(?[X25]:ra_Px1(X24,X25))))&(![X26]:((![X27]:~ra_Px1(X26,X27))|cp1xcomp(X26)))),inference(variable_rename,[status(thm)],[c53])).
% 0.53/0.76 fof(c56,plain,(![X24]:(![X26]:(![X27]:((~cp1xcomp(X24)|ra_Px1(X24,skolem0003(X24)))&(~ra_Px1(X26,X27)|cp1xcomp(X26)))))),inference(shift_quantors,[status(thm)],[fof(c55,plain,((![X24]:(~cp1xcomp(X24)|ra_Px1(X24,skolem0003(X24))))&(![X26]:((![X27]:~ra_Px1(X26,X27))|cp1xcomp(X26)))),inference(skolemize,[status(esa)],[c54])).])).
% 0.53/0.76 cnf(c57,plain,~cp1xcomp(X129)|ra_Px1(X129,skolem0003(X129)),inference(split_conjunct,[status(thm)],[c56])).
% 0.53/0.76 fof(axiom_6,axiom,(![X]:(ca_Vx3(X)<=>(?[Y]:(rr(X,Y)&ca_Ax2(Y))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p', axiom_6)).
% 0.53/0.76 fof(c33,plain,(![X]:((~ca_Vx3(X)|(?[Y]:(rr(X,Y)&ca_Ax2(Y))))&((![Y]:(~rr(X,Y)|~ca_Ax2(Y)))|ca_Vx3(X)))),inference(fof_nnf,[status(thm)],[axiom_6])).
% 0.53/0.76 fof(c34,plain,((![X]:(~ca_Vx3(X)|(?[Y]:(rr(X,Y)&ca_Ax2(Y)))))&(![X]:((![Y]:(~rr(X,Y)|~ca_Ax2(Y)))|ca_Vx3(X)))),inference(shift_quantors,[status(thm)],[c33])).
% 0.53/0.76 fof(c35,plain,((![X16]:(~ca_Vx3(X16)|(?[X17]:(rr(X16,X17)&ca_Ax2(X17)))))&(![X18]:((![X19]:(~rr(X18,X19)|~ca_Ax2(X19)))|ca_Vx3(X18)))),inference(variable_rename,[status(thm)],[c34])).
% 0.53/0.76 fof(c37,plain,(![X16]:(![X18]:(![X19]:((~ca_Vx3(X16)|(rr(X16,skolem0001(X16))&ca_Ax2(skolem0001(X16))))&((~rr(X18,X19)|~ca_Ax2(X19))|ca_Vx3(X18)))))),inference(shift_quantors,[status(thm)],[fof(c36,plain,((![X16]:(~ca_Vx3(X16)|(rr(X16,skolem0001(X16))&ca_Ax2(skolem0001(X16)))))&(![X18]:((![X19]:(~rr(X18,X19)|~ca_Ax2(X19)))|ca_Vx3(X18)))),inference(skolemize,[status(esa)],[c35])).])).
% 0.53/0.76 fof(c38,plain,(![X16]:(![X18]:(![X19]:(((~ca_Vx3(X16)|rr(X16,skolem0001(X16)))&(~ca_Vx3(X16)|ca_Ax2(skolem0001(X16))))&((~rr(X18,X19)|~ca_Ax2(X19))|ca_Vx3(X18)))))),inference(distribute,[status(thm)],[c37])).
% 0.53/0.76 cnf(c40,plain,~ca_Vx3(X117)|ca_Ax2(skolem0001(X117)),inference(split_conjunct,[status(thm)],[c38])).
% 0.53/0.76 cnf(c73,plain,~cUnsatisfiable(X118)|ca_Vx3(skolem0005(X118)),inference(split_conjunct,[status(thm)],[c71])).
% 0.53/0.76 cnf(c152,plain,ca_Vx3(skolem0005(i2003_11_14_17_21_5199)),inference(resolution,[status(thm)],[c73, c14])).
% 0.53/0.76 cnf(c154,plain,ca_Ax2(skolem0001(skolem0005(i2003_11_14_17_21_5199))),inference(resolution,[status(thm)],[c152, c40])).
% 0.53/0.76 cnf(c41,plain,~rr(X158,X157)|~ca_Ax2(X157)|ca_Vx3(X158),inference(split_conjunct,[status(thm)],[c38])).
% 0.53/0.76 cnf(c72,plain,~cUnsatisfiable(X135)|rr(X135,skolem0005(X135)),inference(split_conjunct,[status(thm)],[c71])).
% 0.53/0.76 cnf(c161,plain,rr(i2003_11_14_17_21_5199,skolem0005(i2003_11_14_17_21_5199)),inference(resolution,[status(thm)],[c72, c14])).
% 0.53/0.76 fof(axiom_10,axiom,(![X]:(![Y]:(![Z]:((rr(X,Y)&rr(Y,Z))=>rr(X,Z))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p', axiom_10)).
% 0.53/0.76 fof(c15,plain,(![X]:(![Y]:(![Z]:((~rr(X,Y)|~rr(Y,Z))|rr(X,Z))))),inference(fof_nnf,[status(thm)],[axiom_10])).
% 0.53/0.76 fof(c16,plain,(![X2]:(![X3]:(![X4]:((~rr(X2,X3)|~rr(X3,X4))|rr(X2,X4))))),inference(variable_rename,[status(thm)],[c15])).
% 0.53/0.76 cnf(c17,plain,~rr(X201,X200)|~rr(X200,X199)|rr(X201,X199),inference(split_conjunct,[status(thm)],[c16])).
% 0.53/0.76 cnf(c39,plain,~ca_Vx3(X128)|rr(X128,skolem0001(X128)),inference(split_conjunct,[status(thm)],[c38])).
% 0.53/0.76 cnf(c157,plain,rr(skolem0005(i2003_11_14_17_21_5199),skolem0001(skolem0005(i2003_11_14_17_21_5199))),inference(resolution,[status(thm)],[c39, c152])).
% 0.53/0.76 cnf(c213,plain,~rr(X316,skolem0005(i2003_11_14_17_21_5199))|rr(X316,skolem0001(skolem0005(i2003_11_14_17_21_5199))),inference(resolution,[status(thm)],[c157, c17])).
% 0.53/0.76 cnf(c448,plain,rr(i2003_11_14_17_21_5199,skolem0001(skolem0005(i2003_11_14_17_21_5199))),inference(resolution,[status(thm)],[c213, c161])).
% 0.53/0.76 cnf(c452,plain,~ca_Ax2(skolem0001(skolem0005(i2003_11_14_17_21_5199)))|ca_Vx3(i2003_11_14_17_21_5199),inference(resolution,[status(thm)],[c448, c41])).
% 0.53/0.76 cnf(c468,plain,ca_Vx3(i2003_11_14_17_21_5199),inference(resolution,[status(thm)],[c452, c154])).
% 0.53/0.76 cnf(c475,plain,ca_Ax2(skolem0001(i2003_11_14_17_21_5199)),inference(resolution,[status(thm)],[c468, c40])).
% 0.53/0.76 fof(axiom_5,axiom,(![X]:(ca_Ax2(X)<=>(cp1(X)&(![Y]:(rinvR(X,Y)=>cp1xcomp(Y)))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p', axiom_5)).
% 0.53/0.76 fof(c42,plain,(![X]:((~ca_Ax2(X)|(cp1(X)&(![Y]:(~rinvR(X,Y)|cp1xcomp(Y)))))&((~cp1(X)|(?[Y]:(rinvR(X,Y)&~cp1xcomp(Y))))|ca_Ax2(X)))),inference(fof_nnf,[status(thm)],[axiom_5])).
% 0.53/0.76 fof(c43,plain,((![X]:(~ca_Ax2(X)|(cp1(X)&(![Y]:(~rinvR(X,Y)|cp1xcomp(Y))))))&(![X]:((~cp1(X)|(?[Y]:(rinvR(X,Y)&~cp1xcomp(Y))))|ca_Ax2(X)))),inference(shift_quantors,[status(thm)],[c42])).
% 0.53/0.76 fof(c44,plain,((![X20]:(~ca_Ax2(X20)|(cp1(X20)&(![X21]:(~rinvR(X20,X21)|cp1xcomp(X21))))))&(![X22]:((~cp1(X22)|(?[X23]:(rinvR(X22,X23)&~cp1xcomp(X23))))|ca_Ax2(X22)))),inference(variable_rename,[status(thm)],[c43])).
% 0.53/0.76 fof(c46,plain,(![X20]:(![X21]:(![X22]:((~ca_Ax2(X20)|(cp1(X20)&(~rinvR(X20,X21)|cp1xcomp(X21))))&((~cp1(X22)|(rinvR(X22,skolem0002(X22))&~cp1xcomp(skolem0002(X22))))|ca_Ax2(X22)))))),inference(shift_quantors,[status(thm)],[fof(c45,plain,((![X20]:(~ca_Ax2(X20)|(cp1(X20)&(![X21]:(~rinvR(X20,X21)|cp1xcomp(X21))))))&(![X22]:((~cp1(X22)|(rinvR(X22,skolem0002(X22))&~cp1xcomp(skolem0002(X22))))|ca_Ax2(X22)))),inference(skolemize,[status(esa)],[c44])).])).
% 0.53/0.76 fof(c47,plain,(![X20]:(![X21]:(![X22]:(((~ca_Ax2(X20)|cp1(X20))&(~ca_Ax2(X20)|(~rinvR(X20,X21)|cp1xcomp(X21))))&(((~cp1(X22)|rinvR(X22,skolem0002(X22)))|ca_Ax2(X22))&((~cp1(X22)|~cp1xcomp(skolem0002(X22)))|ca_Ax2(X22))))))),inference(distribute,[status(thm)],[c46])).
% 0.53/0.76 cnf(c49,plain,~ca_Ax2(X160)|~rinvR(X160,X159)|cp1xcomp(X159),inference(split_conjunct,[status(thm)],[c47])).
% 0.53/0.76 fof(axiom_9,axiom,(![X]:(![Y]:(rinvR(X,Y)<=>rr(Y,X)))),file('/export/starexec/sandbox/benchmark/theBenchmark.p', axiom_9)).
% 0.53/0.76 fof(c18,plain,(![X]:(![Y]:((~rinvR(X,Y)|rr(Y,X))&(~rr(Y,X)|rinvR(X,Y))))),inference(fof_nnf,[status(thm)],[axiom_9])).
% 0.53/0.76 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])).
% 0.53/0.76 fof(c21,plain,(![X5]:(![X6]:(![X7]:(![X8]:((~rinvR(X5,X6)|rr(X6,X5))&(~rr(X8,X7)|rinvR(X7,X8))))))),inference(shift_quantors,[status(thm)],[fof(c20,plain,((![X5]:(![X6]:(~rinvR(X5,X6)|rr(X6,X5))))&(![X7]:(![X8]:(~rr(X8,X7)|rinvR(X7,X8))))),inference(variable_rename,[status(thm)],[c19])).])).
% 0.53/0.76 cnf(c23,plain,~rr(X108,X109)|rinvR(X109,X108),inference(split_conjunct,[status(thm)],[c21])).
% 0.53/0.76 cnf(c476,plain,rr(i2003_11_14_17_21_5199,skolem0001(i2003_11_14_17_21_5199)),inference(resolution,[status(thm)],[c468, c39])).
% 0.53/0.76 cnf(c482,plain,rinvR(skolem0001(i2003_11_14_17_21_5199),i2003_11_14_17_21_5199),inference(resolution,[status(thm)],[c476, c23])).
% 0.53/0.76 cnf(c489,plain,~ca_Ax2(skolem0001(i2003_11_14_17_21_5199))|cp1xcomp(i2003_11_14_17_21_5199),inference(resolution,[status(thm)],[c482, c49])).
% 0.53/0.76 cnf(c497,plain,cp1xcomp(i2003_11_14_17_21_5199),inference(resolution,[status(thm)],[c489, c475])).
% 0.53/0.76 cnf(c507,plain,ra_Px1(i2003_11_14_17_21_5199,skolem0003(i2003_11_14_17_21_5199)),inference(resolution,[status(thm)],[c497, c57])).
% 0.53/0.76 cnf(c512,plain,~cp1(i2003_11_14_17_21_5199),inference(resolution,[status(thm)],[c507, c64])).
% 0.53/0.76 cnf(c514,plain,$false,inference(resolution,[status(thm)],[c512, c147])).
% 0.53/0.76 % SZS output end CNFRefutation
% 0.53/0.76
% 0.53/0.76 % Initial clauses : 62
% 0.53/0.76 % Processed clauses : 121
% 0.53/0.76 % Factors computed : 3
% 0.53/0.76 % Resolvents computed: 369
% 0.53/0.76 % Tautologies deleted: 17
% 0.53/0.76 % Forward subsumed : 79
% 0.53/0.76 % Backward subsumed : 7
% 0.53/0.76 % -------- CPU Time ---------
% 0.53/0.76 % User time : 0.385 s
% 0.53/0.76 % System time : 0.014 s
% 0.53/0.76 % Total time : 0.399 s
%------------------------------------------------------------------------------