TSTP Solution File: KRS122+1 by PyRes---1.5
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- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : KRS122+1 : TPTP v8.1.2. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n008.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 0.43s 0.63s
% Output : Refutation 0.43s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : KRS122+1 : TPTP v8.1.2. Released v3.1.0.
% 0.04/0.13 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.14/0.34 % Computer : n008.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Thu May 9 00:08:38 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.43/0.63 % Version: 1.5
% 0.43/0.63 % SZS status Unsatisfiable
% 0.43/0.63 % SZS output start CNFRefutation
% 0.43/0.63 fof(axiom_3,axiom,(![X]:(cp1(X)<=>(~(?[Y]:ra_Px1(X,Y))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p', axiom_3)).
% 0.43/0.63 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])).
% 0.43/0.63 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])).
% 0.43/0.63 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])).
% 0.43/0.63 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])).])).
% 0.43/0.63 cnf(c64,plain,~cp1(X104)|~ra_Px1(X104,X103),inference(split_conjunct,[status(thm)],[c63])).
% 0.43/0.63 fof(axiom_4,axiom,(![X]:(cp1xcomp(X)<=>(?[Y0]:ra_Px1(X,Y0)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p', axiom_4)).
% 0.43/0.63 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])).
% 0.43/0.63 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])).
% 0.43/0.63 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])).
% 0.43/0.63 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])).])).
% 0.43/0.63 cnf(c57,plain,~cp1xcomp(X125)|ra_Px1(X125,skolem0003(X125)),inference(split_conjunct,[status(thm)],[c56])).
% 0.43/0.63 fof(axiom_6,axiom,(![X]:(ca_Vx3(X)<=>(?[Y]:(rf(X,Y)&cp1xcomp(Y))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p', axiom_6)).
% 0.43/0.63 fof(c33,plain,(![X]:((~ca_Vx3(X)|(?[Y]:(rf(X,Y)&cp1xcomp(Y))))&((![Y]:(~rf(X,Y)|~cp1xcomp(Y)))|ca_Vx3(X)))),inference(fof_nnf,[status(thm)],[axiom_6])).
% 0.43/0.63 fof(c34,plain,((![X]:(~ca_Vx3(X)|(?[Y]:(rf(X,Y)&cp1xcomp(Y)))))&(![X]:((![Y]:(~rf(X,Y)|~cp1xcomp(Y)))|ca_Vx3(X)))),inference(shift_quantors,[status(thm)],[c33])).
% 0.43/0.63 fof(c35,plain,((![X16]:(~ca_Vx3(X16)|(?[X17]:(rf(X16,X17)&cp1xcomp(X17)))))&(![X18]:((![X19]:(~rf(X18,X19)|~cp1xcomp(X19)))|ca_Vx3(X18)))),inference(variable_rename,[status(thm)],[c34])).
% 0.43/0.63 fof(c37,plain,(![X16]:(![X18]:(![X19]:((~ca_Vx3(X16)|(rf(X16,skolem0001(X16))&cp1xcomp(skolem0001(X16))))&((~rf(X18,X19)|~cp1xcomp(X19))|ca_Vx3(X18)))))),inference(shift_quantors,[status(thm)],[fof(c36,plain,((![X16]:(~ca_Vx3(X16)|(rf(X16,skolem0001(X16))&cp1xcomp(skolem0001(X16)))))&(![X18]:((![X19]:(~rf(X18,X19)|~cp1xcomp(X19)))|ca_Vx3(X18)))),inference(skolemize,[status(esa)],[c35])).])).
% 0.43/0.63 fof(c38,plain,(![X16]:(![X18]:(![X19]:(((~ca_Vx3(X16)|rf(X16,skolem0001(X16)))&(~ca_Vx3(X16)|cp1xcomp(skolem0001(X16))))&((~rf(X18,X19)|~cp1xcomp(X19))|ca_Vx3(X18)))))),inference(distribute,[status(thm)],[c37])).
% 0.43/0.63 cnf(c40,plain,~ca_Vx3(X116)|cp1xcomp(skolem0001(X116)),inference(split_conjunct,[status(thm)],[c38])).
% 0.43/0.63 fof(axiom_11,axiom,cUnsatisfiable(i2003_11_14_17_21_55116),file('/export/starexec/sandbox2/benchmark/theBenchmark.p', axiom_11)).
% 0.43/0.63 cnf(c14,plain,cUnsatisfiable(i2003_11_14_17_21_55116),inference(split_conjunct,[status(thm)],[axiom_11])).
% 0.43/0.63 fof(axiom_2,axiom,(![X]:(cUnsatisfiable(X)<=>(?[Y]:(rf(X,Y)&ca_Ax2(Y))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p', axiom_2)).
% 0.43/0.63 fof(c66,plain,(![X]:((~cUnsatisfiable(X)|(?[Y]:(rf(X,Y)&ca_Ax2(Y))))&((![Y]:(~rf(X,Y)|~ca_Ax2(Y)))|cUnsatisfiable(X)))),inference(fof_nnf,[status(thm)],[axiom_2])).
% 0.43/0.63 fof(c67,plain,((![X]:(~cUnsatisfiable(X)|(?[Y]:(rf(X,Y)&ca_Ax2(Y)))))&(![X]:((![Y]:(~rf(X,Y)|~ca_Ax2(Y)))|cUnsatisfiable(X)))),inference(shift_quantors,[status(thm)],[c66])).
% 0.43/0.63 fof(c68,plain,((![X32]:(~cUnsatisfiable(X32)|(?[X33]:(rf(X32,X33)&ca_Ax2(X33)))))&(![X34]:((![X35]:(~rf(X34,X35)|~ca_Ax2(X35)))|cUnsatisfiable(X34)))),inference(variable_rename,[status(thm)],[c67])).
% 0.43/0.63 fof(c70,plain,(![X32]:(![X34]:(![X35]:((~cUnsatisfiable(X32)|(rf(X32,skolem0005(X32))&ca_Ax2(skolem0005(X32))))&((~rf(X34,X35)|~ca_Ax2(X35))|cUnsatisfiable(X34)))))),inference(shift_quantors,[status(thm)],[fof(c69,plain,((![X32]:(~cUnsatisfiable(X32)|(rf(X32,skolem0005(X32))&ca_Ax2(skolem0005(X32)))))&(![X34]:((![X35]:(~rf(X34,X35)|~ca_Ax2(X35)))|cUnsatisfiable(X34)))),inference(skolemize,[status(esa)],[c68])).])).
% 0.43/0.63 fof(c71,plain,(![X32]:(![X34]:(![X35]:(((~cUnsatisfiable(X32)|rf(X32,skolem0005(X32)))&(~cUnsatisfiable(X32)|ca_Ax2(skolem0005(X32))))&((~rf(X34,X35)|~ca_Ax2(X35))|cUnsatisfiable(X34)))))),inference(distribute,[status(thm)],[c70])).
% 0.43/0.63 cnf(c73,plain,~cUnsatisfiable(X117)|ca_Ax2(skolem0005(X117)),inference(split_conjunct,[status(thm)],[c71])).
% 0.43/0.63 cnf(c150,plain,ca_Ax2(skolem0005(i2003_11_14_17_21_55116)),inference(resolution,[status(thm)],[c73, c14])).
% 0.43/0.63 fof(axiom_8,axiom,(![X]:(![Y]:(rinvF(X,Y)<=>rf(Y,X)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p', axiom_8)).
% 0.43/0.63 fof(c24,plain,(![X]:(![Y]:((~rinvF(X,Y)|rf(Y,X))&(~rf(Y,X)|rinvF(X,Y))))),inference(fof_nnf,[status(thm)],[axiom_8])).
% 0.43/0.63 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])).
% 0.43/0.63 fof(c27,plain,(![X9]:(![X10]:(![X11]:(![X12]:((~rinvF(X9,X10)|rf(X10,X9))&(~rf(X12,X11)|rinvF(X11,X12))))))),inference(shift_quantors,[status(thm)],[fof(c26,plain,((![X9]:(![X10]:(~rinvF(X9,X10)|rf(X10,X9))))&(![X11]:(![X12]:(~rf(X12,X11)|rinvF(X11,X12))))),inference(variable_rename,[status(thm)],[c25])).])).
% 0.43/0.63 cnf(c29,plain,~rf(X112,X111)|rinvF(X111,X112),inference(split_conjunct,[status(thm)],[c27])).
% 0.43/0.63 cnf(c72,plain,~cUnsatisfiable(X132)|rf(X132,skolem0005(X132)),inference(split_conjunct,[status(thm)],[c71])).
% 0.43/0.63 cnf(c157,plain,rf(i2003_11_14_17_21_55116,skolem0005(i2003_11_14_17_21_55116)),inference(resolution,[status(thm)],[c72, c14])).
% 0.43/0.63 cnf(c158,plain,rinvF(skolem0005(i2003_11_14_17_21_55116),i2003_11_14_17_21_55116),inference(resolution,[status(thm)],[c157, c29])).
% 0.43/0.63 fof(axiom_5,axiom,(![X]:(ca_Ax2(X)<=>(cp1(X)&(![Y]:(rinvF(X,Y)=>ca_Vx3(Y)))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p', axiom_5)).
% 0.43/0.63 fof(c42,plain,(![X]:((~ca_Ax2(X)|(cp1(X)&(![Y]:(~rinvF(X,Y)|ca_Vx3(Y)))))&((~cp1(X)|(?[Y]:(rinvF(X,Y)&~ca_Vx3(Y))))|ca_Ax2(X)))),inference(fof_nnf,[status(thm)],[axiom_5])).
% 0.43/0.63 fof(c43,plain,((![X]:(~ca_Ax2(X)|(cp1(X)&(![Y]:(~rinvF(X,Y)|ca_Vx3(Y))))))&(![X]:((~cp1(X)|(?[Y]:(rinvF(X,Y)&~ca_Vx3(Y))))|ca_Ax2(X)))),inference(shift_quantors,[status(thm)],[c42])).
% 0.43/0.63 fof(c44,plain,((![X20]:(~ca_Ax2(X20)|(cp1(X20)&(![X21]:(~rinvF(X20,X21)|ca_Vx3(X21))))))&(![X22]:((~cp1(X22)|(?[X23]:(rinvF(X22,X23)&~ca_Vx3(X23))))|ca_Ax2(X22)))),inference(variable_rename,[status(thm)],[c43])).
% 0.43/0.63 fof(c46,plain,(![X20]:(![X21]:(![X22]:((~ca_Ax2(X20)|(cp1(X20)&(~rinvF(X20,X21)|ca_Vx3(X21))))&((~cp1(X22)|(rinvF(X22,skolem0002(X22))&~ca_Vx3(skolem0002(X22))))|ca_Ax2(X22)))))),inference(shift_quantors,[status(thm)],[fof(c45,plain,((![X20]:(~ca_Ax2(X20)|(cp1(X20)&(![X21]:(~rinvF(X20,X21)|ca_Vx3(X21))))))&(![X22]:((~cp1(X22)|(rinvF(X22,skolem0002(X22))&~ca_Vx3(skolem0002(X22))))|ca_Ax2(X22)))),inference(skolemize,[status(esa)],[c44])).])).
% 0.43/0.63 fof(c47,plain,(![X20]:(![X21]:(![X22]:(((~ca_Ax2(X20)|cp1(X20))&(~ca_Ax2(X20)|(~rinvF(X20,X21)|ca_Vx3(X21))))&(((~cp1(X22)|rinvF(X22,skolem0002(X22)))|ca_Ax2(X22))&((~cp1(X22)|~ca_Vx3(skolem0002(X22)))|ca_Ax2(X22))))))),inference(distribute,[status(thm)],[c46])).
% 0.43/0.63 cnf(c49,plain,~ca_Ax2(X163)|~rinvF(X163,X162)|ca_Vx3(X162),inference(split_conjunct,[status(thm)],[c47])).
% 0.43/0.63 cnf(c170,plain,~ca_Ax2(skolem0005(i2003_11_14_17_21_55116))|ca_Vx3(i2003_11_14_17_21_55116),inference(resolution,[status(thm)],[c49, c158])).
% 0.43/0.63 cnf(c174,plain,ca_Vx3(i2003_11_14_17_21_55116),inference(resolution,[status(thm)],[c170, c150])).
% 0.43/0.63 cnf(c176,plain,cp1xcomp(skolem0001(i2003_11_14_17_21_55116)),inference(resolution,[status(thm)],[c174, c40])).
% 0.43/0.63 cnf(c177,plain,ra_Px1(skolem0001(i2003_11_14_17_21_55116),skolem0003(skolem0001(i2003_11_14_17_21_55116))),inference(resolution,[status(thm)],[c176, c57])).
% 0.43/0.63 cnf(c207,plain,~cp1(skolem0001(i2003_11_14_17_21_55116)),inference(resolution,[status(thm)],[c177, c64])).
% 0.43/0.63 cnf(c48,plain,~ca_Ax2(X91)|cp1(X91),inference(split_conjunct,[status(thm)],[c47])).
% 0.43/0.63 cnf(c1,axiom,X119!=X118|~ca_Ax2(X119)|ca_Ax2(X118),theory(equality)).
% 0.43/0.63 cnf(symmetry,axiom,X92!=X93|X93=X92,theory(equality)).
% 0.43/0.63 cnf(c39,plain,~ca_Vx3(X124)|rf(X124,skolem0001(X124)),inference(split_conjunct,[status(thm)],[c38])).
% 0.43/0.63 cnf(c175,plain,rf(i2003_11_14_17_21_55116,skolem0001(i2003_11_14_17_21_55116)),inference(resolution,[status(thm)],[c174, c39])).
% 0.43/0.63 fof(axiom_7,axiom,(![X]:(![Y]:(![Z]:((rf(X,Y)&rf(X,Z))=>Y=Z)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p', axiom_7)).
% 0.43/0.63 fof(c30,plain,(![X]:(![Y]:(![Z]:((~rf(X,Y)|~rf(X,Z))|Y=Z)))),inference(fof_nnf,[status(thm)],[axiom_7])).
% 0.43/0.63 fof(c31,plain,(![X13]:(![X14]:(![X15]:((~rf(X13,X14)|~rf(X13,X15))|X14=X15)))),inference(variable_rename,[status(thm)],[c30])).
% 0.43/0.63 cnf(c32,plain,~rf(X202,X203)|~rf(X202,X201)|X203=X201,inference(split_conjunct,[status(thm)],[c31])).
% 0.43/0.63 cnf(c187,plain,~rf(i2003_11_14_17_21_55116,X237)|X237=skolem0005(i2003_11_14_17_21_55116),inference(resolution,[status(thm)],[c32, c157])).
% 0.43/0.63 cnf(c214,plain,skolem0001(i2003_11_14_17_21_55116)=skolem0005(i2003_11_14_17_21_55116),inference(resolution,[status(thm)],[c187, c175])).
% 0.43/0.63 cnf(c218,plain,skolem0005(i2003_11_14_17_21_55116)=skolem0001(i2003_11_14_17_21_55116),inference(resolution,[status(thm)],[c214, symmetry])).
% 0.43/0.63 cnf(c229,plain,~ca_Ax2(skolem0005(i2003_11_14_17_21_55116))|ca_Ax2(skolem0001(i2003_11_14_17_21_55116)),inference(resolution,[status(thm)],[c218, c1])).
% 0.43/0.63 cnf(c299,plain,ca_Ax2(skolem0001(i2003_11_14_17_21_55116)),inference(resolution,[status(thm)],[c229, c150])).
% 0.43/0.63 cnf(c301,plain,cp1(skolem0001(i2003_11_14_17_21_55116)),inference(resolution,[status(thm)],[c299, c48])).
% 0.43/0.63 cnf(c303,plain,$false,inference(resolution,[status(thm)],[c301, c207])).
% 0.43/0.63 % SZS output end CNFRefutation
% 0.43/0.63
% 0.43/0.63 % Initial clauses : 61
% 0.43/0.63 % Processed clauses : 97
% 0.43/0.63 % Factors computed : 3
% 0.43/0.63 % Resolvents computed: 157
% 0.43/0.63 % Tautologies deleted: 13
% 0.43/0.63 % Forward subsumed : 46
% 0.43/0.63 % Backward subsumed : 4
% 0.43/0.63 % -------- CPU Time ---------
% 0.43/0.63 % User time : 0.266 s
% 0.43/0.63 % System time : 0.012 s
% 0.43/0.63 % Total time : 0.278 s
%------------------------------------------------------------------------------