TSTP Solution File: KRS105+1 by PyRes---1.5
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- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : KRS105+1 : TPTP v8.1.2. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n002.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 17:28:43 EDT 2024
% Result : Unsatisfiable 0.22s 0.54s
% Output : Refutation 0.22s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : KRS105+1 : TPTP v8.1.2. Released v3.1.0.
% 0.08/0.14 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.15/0.36 % Computer : n002.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Thu May 9 00:15:38 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.22/0.54 % Version: 1.5
% 0.22/0.54 % SZS status Unsatisfiable
% 0.22/0.54 % SZS output start CNFRefutation
% 0.22/0.54 fof(axiom_5,axiom,(![X]:(cd(X)<=>(~(?[Y]:ra_Px1(X,Y))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p', axiom_5)).
% 0.22/0.54 fof(c20,plain,(![X]:((~cd(X)|(![Y]:~ra_Px1(X,Y)))&((?[Y]:ra_Px1(X,Y))|cd(X)))),inference(fof_nnf,[status(thm)],[axiom_5])).
% 0.22/0.54 fof(c21,plain,((![X]:(~cd(X)|(![Y]:~ra_Px1(X,Y))))&(![X]:((?[Y]:ra_Px1(X,Y))|cd(X)))),inference(shift_quantors,[status(thm)],[c20])).
% 0.22/0.54 fof(c22,plain,((![X11]:(~cd(X11)|(![X12]:~ra_Px1(X11,X12))))&(![X13]:((?[X14]:ra_Px1(X13,X14))|cd(X13)))),inference(variable_rename,[status(thm)],[c21])).
% 0.22/0.54 fof(c24,plain,(![X11]:(![X12]:(![X13]:((~cd(X11)|~ra_Px1(X11,X12))&(ra_Px1(X13,skolem0003(X13))|cd(X13)))))),inference(shift_quantors,[status(thm)],[fof(c23,plain,((![X11]:(~cd(X11)|(![X12]:~ra_Px1(X11,X12))))&(![X13]:(ra_Px1(X13,skolem0003(X13))|cd(X13)))),inference(skolemize,[status(esa)],[c22])).])).
% 0.22/0.54 cnf(c25,plain,~cd(X37)|~ra_Px1(X37,X36),inference(split_conjunct,[status(thm)],[c24])).
% 0.22/0.54 fof(axiom_9,axiom,cUnsatisfiable(i2003_11_14_17_20_53634),file('/export/starexec/sandbox/benchmark/theBenchmark.p', axiom_9)).
% 0.22/0.54 cnf(c0,plain,cUnsatisfiable(i2003_11_14_17_20_53634),inference(split_conjunct,[status(thm)],[axiom_9])).
% 0.22/0.54 fof(axiom_2,axiom,(![X]:(cUnsatisfiable(X)=>cdxcomp(X))),file('/export/starexec/sandbox/benchmark/theBenchmark.p', axiom_2)).
% 0.22/0.54 fof(c34,plain,(![X]:(~cUnsatisfiable(X)|cdxcomp(X))),inference(fof_nnf,[status(thm)],[axiom_2])).
% 0.22/0.54 fof(c35,plain,(![X18]:(~cUnsatisfiable(X18)|cdxcomp(X18))),inference(variable_rename,[status(thm)],[c34])).
% 0.22/0.54 cnf(c36,plain,~cUnsatisfiable(X29)|cdxcomp(X29),inference(split_conjunct,[status(thm)],[c35])).
% 0.22/0.54 cnf(c51,plain,cdxcomp(i2003_11_14_17_20_53634),inference(resolution,[status(thm)],[c36, c0])).
% 0.22/0.54 fof(axiom_6,axiom,(![X]:(cdxcomp(X)<=>(?[Y0]:ra_Px1(X,Y0)))),file('/export/starexec/sandbox/benchmark/theBenchmark.p', axiom_6)).
% 0.22/0.54 fof(c13,plain,(![X]:((~cdxcomp(X)|(?[Y0]:ra_Px1(X,Y0)))&((![Y0]:~ra_Px1(X,Y0))|cdxcomp(X)))),inference(fof_nnf,[status(thm)],[axiom_6])).
% 0.22/0.54 fof(c14,plain,((![X]:(~cdxcomp(X)|(?[Y0]:ra_Px1(X,Y0))))&(![X]:((![Y0]:~ra_Px1(X,Y0))|cdxcomp(X)))),inference(shift_quantors,[status(thm)],[c13])).
% 0.22/0.54 fof(c15,plain,((![X7]:(~cdxcomp(X7)|(?[X8]:ra_Px1(X7,X8))))&(![X9]:((![X10]:~ra_Px1(X9,X10))|cdxcomp(X9)))),inference(variable_rename,[status(thm)],[c14])).
% 0.22/0.54 fof(c17,plain,(![X7]:(![X9]:(![X10]:((~cdxcomp(X7)|ra_Px1(X7,skolem0002(X7)))&(~ra_Px1(X9,X10)|cdxcomp(X9)))))),inference(shift_quantors,[status(thm)],[fof(c16,plain,((![X7]:(~cdxcomp(X7)|ra_Px1(X7,skolem0002(X7))))&(![X9]:((![X10]:~ra_Px1(X9,X10))|cdxcomp(X9)))),inference(skolemize,[status(esa)],[c15])).])).
% 0.22/0.54 cnf(c18,plain,~cdxcomp(X39)|ra_Px1(X39,skolem0002(X39)),inference(split_conjunct,[status(thm)],[c17])).
% 0.22/0.54 cnf(c55,plain,ra_Px1(i2003_11_14_17_20_53634,skolem0002(i2003_11_14_17_20_53634)),inference(resolution,[status(thm)],[c18, c51])).
% 0.22/0.54 cnf(c60,plain,~cd(i2003_11_14_17_20_53634),inference(resolution,[status(thm)],[c55, c25])).
% 0.22/0.54 fof(axiom_8,axiom,(![X]:(ca_Ax2(X)=>cd(X))),file('/export/starexec/sandbox/benchmark/theBenchmark.p', axiom_8)).
% 0.22/0.54 fof(c1,plain,(![X]:(~ca_Ax2(X)|cd(X))),inference(fof_nnf,[status(thm)],[axiom_8])).
% 0.22/0.54 fof(c2,plain,(![X2]:(~ca_Ax2(X2)|cd(X2))),inference(variable_rename,[status(thm)],[c1])).
% 0.22/0.54 cnf(c3,plain,~ca_Ax2(X25)|cd(X25),inference(split_conjunct,[status(thm)],[c2])).
% 0.22/0.54 fof(axiom_7,axiom,(![X]:(ca_Ax2(X)<=>(![Y]:(rr(X,Y)=>cc(Y))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p', axiom_7)).
% 0.22/0.54 fof(c4,plain,(![X]:((~ca_Ax2(X)|(![Y]:(~rr(X,Y)|cc(Y))))&((?[Y]:(rr(X,Y)&~cc(Y)))|ca_Ax2(X)))),inference(fof_nnf,[status(thm)],[axiom_7])).
% 0.22/0.54 fof(c5,plain,((![X]:(~ca_Ax2(X)|(![Y]:(~rr(X,Y)|cc(Y)))))&(![X]:((?[Y]:(rr(X,Y)&~cc(Y)))|ca_Ax2(X)))),inference(shift_quantors,[status(thm)],[c4])).
% 0.22/0.54 fof(c6,plain,((![X3]:(~ca_Ax2(X3)|(![X4]:(~rr(X3,X4)|cc(X4)))))&(![X5]:((?[X6]:(rr(X5,X6)&~cc(X6)))|ca_Ax2(X5)))),inference(variable_rename,[status(thm)],[c5])).
% 0.22/0.54 fof(c8,plain,(![X3]:(![X4]:(![X5]:((~ca_Ax2(X3)|(~rr(X3,X4)|cc(X4)))&((rr(X5,skolem0001(X5))&~cc(skolem0001(X5)))|ca_Ax2(X5)))))),inference(shift_quantors,[status(thm)],[fof(c7,plain,((![X3]:(~ca_Ax2(X3)|(![X4]:(~rr(X3,X4)|cc(X4)))))&(![X5]:((rr(X5,skolem0001(X5))&~cc(skolem0001(X5)))|ca_Ax2(X5)))),inference(skolemize,[status(esa)],[c6])).])).
% 0.22/0.54 fof(c9,plain,(![X3]:(![X4]:(![X5]:((~ca_Ax2(X3)|(~rr(X3,X4)|cc(X4)))&((rr(X5,skolem0001(X5))|ca_Ax2(X5))&(~cc(skolem0001(X5))|ca_Ax2(X5))))))),inference(distribute,[status(thm)],[c8])).
% 0.22/0.54 cnf(c12,plain,~cc(skolem0001(X38))|ca_Ax2(X38),inference(split_conjunct,[status(thm)],[c9])).
% 0.22/0.54 fof(axiom_3,axiom,(![X]:(cUnsatisfiable(X)=>cc(X))),file('/export/starexec/sandbox/benchmark/theBenchmark.p', axiom_3)).
% 0.22/0.54 fof(c31,plain,(![X]:(~cUnsatisfiable(X)|cc(X))),inference(fof_nnf,[status(thm)],[axiom_3])).
% 0.22/0.54 fof(c32,plain,(![X17]:(~cUnsatisfiable(X17)|cc(X17))),inference(variable_rename,[status(thm)],[c31])).
% 0.22/0.54 cnf(c33,plain,~cUnsatisfiable(X26)|cc(X26),inference(split_conjunct,[status(thm)],[c32])).
% 0.22/0.54 cnf(c50,plain,cc(i2003_11_14_17_20_53634),inference(resolution,[status(thm)],[c33, c0])).
% 0.22/0.54 fof(axiom_4,axiom,(![X]:(cc(X)=>(![Y]:(rr(X,Y)=>cc(Y))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p', axiom_4)).
% 0.22/0.54 fof(c27,plain,(![X]:(~cc(X)|(![Y]:(~rr(X,Y)|cc(Y))))),inference(fof_nnf,[status(thm)],[axiom_4])).
% 0.22/0.54 fof(c29,plain,(![X15]:(![X16]:(~cc(X15)|(~rr(X15,X16)|cc(X16))))),inference(shift_quantors,[status(thm)],[fof(c28,plain,(![X15]:(~cc(X15)|(![X16]:(~rr(X15,X16)|cc(X16))))),inference(variable_rename,[status(thm)],[c27])).])).
% 0.22/0.54 cnf(c30,plain,~cc(X44)|~rr(X44,X43)|cc(X43),inference(split_conjunct,[status(thm)],[c29])).
% 0.22/0.54 cnf(c11,plain,rr(X32,skolem0001(X32))|ca_Ax2(X32),inference(split_conjunct,[status(thm)],[c9])).
% 0.22/0.54 cnf(c54,plain,rr(X45,skolem0001(X45))|cd(X45),inference(resolution,[status(thm)],[c11, c3])).
% 0.22/0.54 cnf(c68,plain,rr(i2003_11_14_17_20_53634,skolem0001(i2003_11_14_17_20_53634)),inference(resolution,[status(thm)],[c54, c60])).
% 0.22/0.54 cnf(c70,plain,~cc(i2003_11_14_17_20_53634)|cc(skolem0001(i2003_11_14_17_20_53634)),inference(resolution,[status(thm)],[c68, c30])).
% 0.22/0.54 cnf(c76,plain,cc(skolem0001(i2003_11_14_17_20_53634)),inference(resolution,[status(thm)],[c70, c50])).
% 0.22/0.54 cnf(c78,plain,ca_Ax2(i2003_11_14_17_20_53634),inference(resolution,[status(thm)],[c76, c12])).
% 0.22/0.54 cnf(c79,plain,cd(i2003_11_14_17_20_53634),inference(resolution,[status(thm)],[c78, c3])).
% 0.22/0.54 cnf(c80,plain,$false,inference(resolution,[status(thm)],[c79, c60])).
% 0.22/0.54 % SZS output end CNFRefutation
% 0.22/0.54
% 0.22/0.54 % Initial clauses : 16
% 0.22/0.54 % Processed clauses : 31
% 0.22/0.54 % Factors computed : 0
% 0.22/0.54 % Resolvents computed: 31
% 0.22/0.54 % Tautologies deleted: 4
% 0.22/0.54 % Forward subsumed : 7
% 0.22/0.54 % Backward subsumed : 2
% 0.22/0.54 % -------- CPU Time ---------
% 0.22/0.54 % User time : 0.162 s
% 0.22/0.54 % System time : 0.020 s
% 0.22/0.54 % Total time : 0.182 s
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