TSTP Solution File: KRS082+1 by PyRes---1.5
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- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : KRS082+1 : TPTP v8.1.2. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n032.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 0.14s 0.48s
% Output : Refutation 0.14s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.09 % Problem : KRS082+1 : TPTP v8.1.2. Released v3.1.0.
% 0.05/0.10 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.10/0.29 % Computer : n032.cluster.edu
% 0.10/0.29 % Model : x86_64 x86_64
% 0.10/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.29 % Memory : 8042.1875MB
% 0.10/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.29 % CPULimit : 300
% 0.10/0.29 % WCLimit : 300
% 0.10/0.29 % DateTime : Thu May 9 00:14:52 EDT 2024
% 0.10/0.29 % CPUTime :
% 0.14/0.48 % Version: 1.5
% 0.14/0.48 % SZS status Unsatisfiable
% 0.14/0.48 % SZS output start CNFRefutation
% 0.14/0.48 fof(axiom_9,axiom,cUnsatisfiable(i2003_11_14_17_19_28752),file('/export/starexec/sandbox2/benchmark/theBenchmark.p', axiom_9)).
% 0.14/0.48 cnf(c0,plain,cUnsatisfiable(i2003_11_14_17_19_28752),inference(split_conjunct,[status(thm)],[axiom_9])).
% 0.14/0.48 fof(axiom_3,axiom,(![X]:(cUnsatisfiable(X)=>ca(X))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p', axiom_3)).
% 0.14/0.48 fof(c34,plain,(![X]:(~cUnsatisfiable(X)|ca(X))),inference(fof_nnf,[status(thm)],[axiom_3])).
% 0.14/0.48 fof(c35,plain,(![X25]:(~cUnsatisfiable(X25)|ca(X25))),inference(variable_rename,[status(thm)],[c34])).
% 0.14/0.48 cnf(c36,plain,~cUnsatisfiable(X43)|ca(X43),inference(split_conjunct,[status(thm)],[c35])).
% 0.14/0.48 cnf(c66,plain,ca(i2003_11_14_17_19_28752),inference(resolution,[status(thm)],[c36, c0])).
% 0.14/0.48 fof(axiom_2,axiom,(![X]:(cUnsatisfiable(X)=>(?[Y]:((((((rs(X,Y)&(?[Z]:(rp(Y,Z)&cowlThing(Z))))&(![Z]:(rr(Y,Z)=>cc(Z))))&(![Z]:(rp(Y,Z)=>(?[W]:(rr(Z,W)&cowlThing(W))))))&(![Z]:(rp(Y,Z)=>(?[W]:(rp(Z,W)&cowlThing(W))))))&(![Z]:(rp(Y,Z)=>(![W]:(rr(Z,W)=>cc(W))))))&(?[Z]:(rr(Y,Z)&cowlThing(Z))))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p', axiom_2)).
% 0.14/0.48 fof(c37,plain,(![X]:(~cUnsatisfiable(X)|(?[Y]:((((((rs(X,Y)&(?[Z]:(rp(Y,Z)&cowlThing(Z))))&(![Z]:(~rr(Y,Z)|cc(Z))))&(![Z]:(~rp(Y,Z)|(?[W]:(rr(Z,W)&cowlThing(W))))))&(![Z]:(~rp(Y,Z)|(?[W]:(rp(Z,W)&cowlThing(W))))))&(![Z]:(~rp(Y,Z)|(![W]:(~rr(Z,W)|cc(W))))))&(?[Z]:(rr(Y,Z)&cowlThing(Z))))))),inference(fof_nnf,[status(thm)],[axiom_2])).
% 0.14/0.48 fof(c38,plain,(![X26]:(~cUnsatisfiable(X26)|(?[X27]:((((((rs(X26,X27)&(?[X28]:(rp(X27,X28)&cowlThing(X28))))&(![X29]:(~rr(X27,X29)|cc(X29))))&(![X30]:(~rp(X27,X30)|(?[X31]:(rr(X30,X31)&cowlThing(X31))))))&(![X32]:(~rp(X27,X32)|(?[X33]:(rp(X32,X33)&cowlThing(X33))))))&(![X34]:(~rp(X27,X34)|(![X35]:(~rr(X34,X35)|cc(X35))))))&(?[X36]:(rr(X27,X36)&cowlThing(X36))))))),inference(variable_rename,[status(thm)],[c37])).
% 0.14/0.48 fof(c40,plain,(![X26]:(![X29]:(![X30]:(![X32]:(![X34]:(![X35]:(~cUnsatisfiable(X26)|((((((rs(X26,skolem0004(X26))&(rp(skolem0004(X26),skolem0005(X26))&cowlThing(skolem0005(X26))))&(~rr(skolem0004(X26),X29)|cc(X29)))&(~rp(skolem0004(X26),X30)|(rr(X30,skolem0006(X26,X30))&cowlThing(skolem0006(X26,X30)))))&(~rp(skolem0004(X26),X32)|(rp(X32,skolem0007(X26,X32))&cowlThing(skolem0007(X26,X32)))))&(~rp(skolem0004(X26),X34)|(~rr(X34,X35)|cc(X35))))&(rr(skolem0004(X26),skolem0008(X26))&cowlThing(skolem0008(X26))))))))))),inference(shift_quantors,[status(thm)],[fof(c39,plain,(![X26]:(~cUnsatisfiable(X26)|((((((rs(X26,skolem0004(X26))&(rp(skolem0004(X26),skolem0005(X26))&cowlThing(skolem0005(X26))))&(![X29]:(~rr(skolem0004(X26),X29)|cc(X29))))&(![X30]:(~rp(skolem0004(X26),X30)|(rr(X30,skolem0006(X26,X30))&cowlThing(skolem0006(X26,X30))))))&(![X32]:(~rp(skolem0004(X26),X32)|(rp(X32,skolem0007(X26,X32))&cowlThing(skolem0007(X26,X32))))))&(![X34]:(~rp(skolem0004(X26),X34)|(![X35]:(~rr(X34,X35)|cc(X35))))))&(rr(skolem0004(X26),skolem0008(X26))&cowlThing(skolem0008(X26)))))),inference(skolemize,[status(esa)],[c38])).])).
% 0.14/0.48 fof(c41,plain,(![X26]:(![X29]:(![X30]:(![X32]:(![X34]:(![X35]:(((((((~cUnsatisfiable(X26)|rs(X26,skolem0004(X26)))&((~cUnsatisfiable(X26)|rp(skolem0004(X26),skolem0005(X26)))&(~cUnsatisfiable(X26)|cowlThing(skolem0005(X26)))))&(~cUnsatisfiable(X26)|(~rr(skolem0004(X26),X29)|cc(X29))))&((~cUnsatisfiable(X26)|(~rp(skolem0004(X26),X30)|rr(X30,skolem0006(X26,X30))))&(~cUnsatisfiable(X26)|(~rp(skolem0004(X26),X30)|cowlThing(skolem0006(X26,X30))))))&((~cUnsatisfiable(X26)|(~rp(skolem0004(X26),X32)|rp(X32,skolem0007(X26,X32))))&(~cUnsatisfiable(X26)|(~rp(skolem0004(X26),X32)|cowlThing(skolem0007(X26,X32))))))&(~cUnsatisfiable(X26)|(~rp(skolem0004(X26),X34)|(~rr(X34,X35)|cc(X35)))))&((~cUnsatisfiable(X26)|rr(skolem0004(X26),skolem0008(X26)))&(~cUnsatisfiable(X26)|cowlThing(skolem0008(X26))))))))))),inference(distribute,[status(thm)],[c40])).
% 0.14/0.48 cnf(c43,plain,~cUnsatisfiable(X76)|rp(skolem0004(X76),skolem0005(X76)),inference(split_conjunct,[status(thm)],[c41])).
% 0.14/0.48 cnf(c78,plain,rp(skolem0004(i2003_11_14_17_19_28752),skolem0005(i2003_11_14_17_19_28752)),inference(resolution,[status(thm)],[c43, c0])).
% 0.14/0.48 cnf(c50,plain,~cUnsatisfiable(X96)|~rp(skolem0004(X96),X95)|~rr(X95,X97)|cc(X97),inference(split_conjunct,[status(thm)],[c41])).
% 0.14/0.48 cnf(c92,plain,~cUnsatisfiable(i2003_11_14_17_19_28752)|~rr(skolem0005(i2003_11_14_17_19_28752),X98)|cc(X98),inference(resolution,[status(thm)],[c50, c78])).
% 0.14/0.48 cnf(c46,plain,~cUnsatisfiable(X82)|~rp(skolem0004(X82),X81)|rr(X81,skolem0006(X82,X81)),inference(split_conjunct,[status(thm)],[c41])).
% 0.14/0.48 cnf(c89,plain,~cUnsatisfiable(i2003_11_14_17_19_28752)|rr(skolem0005(i2003_11_14_17_19_28752),skolem0006(i2003_11_14_17_19_28752,skolem0005(i2003_11_14_17_19_28752))),inference(resolution,[status(thm)],[c46, c78])).
% 0.14/0.48 cnf(c96,plain,rr(skolem0005(i2003_11_14_17_19_28752),skolem0006(i2003_11_14_17_19_28752,skolem0005(i2003_11_14_17_19_28752))),inference(resolution,[status(thm)],[c89, c0])).
% 0.14/0.48 cnf(c97,plain,~cUnsatisfiable(i2003_11_14_17_19_28752)|cc(skolem0006(i2003_11_14_17_19_28752,skolem0005(i2003_11_14_17_19_28752))),inference(resolution,[status(thm)],[c96, c92])).
% 0.14/0.48 cnf(c100,plain,cc(skolem0006(i2003_11_14_17_19_28752,skolem0005(i2003_11_14_17_19_28752))),inference(resolution,[status(thm)],[c97, c0])).
% 0.14/0.48 fof(axiom_5,axiom,(![X]:(![Y]:(rinvP(X,Y)<=>rp(Y,X)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p', axiom_5)).
% 0.14/0.48 fof(c16,plain,(![X]:(![Y]:((~rinvP(X,Y)|rp(Y,X))&(~rp(Y,X)|rinvP(X,Y))))),inference(fof_nnf,[status(thm)],[axiom_5])).
% 0.14/0.48 fof(c17,plain,((![X]:(![Y]:(~rinvP(X,Y)|rp(Y,X))))&(![X]:(![Y]:(~rp(Y,X)|rinvP(X,Y))))),inference(shift_quantors,[status(thm)],[c16])).
% 0.14/0.48 fof(c19,plain,(![X13]:(![X14]:(![X15]:(![X16]:((~rinvP(X13,X14)|rp(X14,X13))&(~rp(X16,X15)|rinvP(X15,X16))))))),inference(shift_quantors,[status(thm)],[fof(c18,plain,((![X13]:(![X14]:(~rinvP(X13,X14)|rp(X14,X13))))&(![X15]:(![X16]:(~rp(X16,X15)|rinvP(X15,X16))))),inference(variable_rename,[status(thm)],[c17])).])).
% 0.14/0.48 cnf(c21,plain,~rp(X60,X61)|rinvP(X61,X60),inference(split_conjunct,[status(thm)],[c19])).
% 0.14/0.48 cnf(c80,plain,rinvP(skolem0005(i2003_11_14_17_19_28752),skolem0004(i2003_11_14_17_19_28752)),inference(resolution,[status(thm)],[c78, c21])).
% 0.14/0.48 fof(axiom_4,axiom,(![X]:(cc(X)<=>(![Y]:(rinvR(X,Y)=>(![Z]:(rinvP(Y,Z)=>(![W]:(rinvS(Z,W)=>(~ca(W)))))))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p', axiom_4)).
% 0.14/0.48 fof(c22,plain,(![X]:(cc(X)<=>(![Y]:(rinvR(X,Y)=>(![Z]:(rinvP(Y,Z)=>(![W]:(rinvS(Z,W)=>~ca(W))))))))),inference(fof_simplification,[status(thm)],[axiom_4])).
% 0.14/0.48 fof(c23,plain,(![X]:((~cc(X)|(![Y]:(~rinvR(X,Y)|(![Z]:(~rinvP(Y,Z)|(![W]:(~rinvS(Z,W)|~ca(W))))))))&((?[Y]:(rinvR(X,Y)&(?[Z]:(rinvP(Y,Z)&(?[W]:(rinvS(Z,W)&ca(W)))))))|cc(X)))),inference(fof_nnf,[status(thm)],[c22])).
% 0.14/0.48 fof(c24,plain,((![X]:(~cc(X)|(![Y]:(~rinvR(X,Y)|(![Z]:(~rinvP(Y,Z)|(![W]:(~rinvS(Z,W)|~ca(W)))))))))&(![X]:((?[Y]:(rinvR(X,Y)&(?[Z]:(rinvP(Y,Z)&(?[W]:(rinvS(Z,W)&ca(W)))))))|cc(X)))),inference(shift_quantors,[status(thm)],[c23])).
% 0.14/0.48 fof(c25,plain,((![X17]:(~cc(X17)|(![X18]:(~rinvR(X17,X18)|(![X19]:(~rinvP(X18,X19)|(![X20]:(~rinvS(X19,X20)|~ca(X20)))))))))&(![X21]:((?[X22]:(rinvR(X21,X22)&(?[X23]:(rinvP(X22,X23)&(?[X24]:(rinvS(X23,X24)&ca(X24)))))))|cc(X21)))),inference(variable_rename,[status(thm)],[c24])).
% 0.14/0.48 fof(c27,plain,(![X17]:(![X18]:(![X19]:(![X20]:(![X21]:((~cc(X17)|(~rinvR(X17,X18)|(~rinvP(X18,X19)|(~rinvS(X19,X20)|~ca(X20)))))&((rinvR(X21,skolem0001(X21))&(rinvP(skolem0001(X21),skolem0002(X21))&(rinvS(skolem0002(X21),skolem0003(X21))&ca(skolem0003(X21)))))|cc(X21)))))))),inference(shift_quantors,[status(thm)],[fof(c26,plain,((![X17]:(~cc(X17)|(![X18]:(~rinvR(X17,X18)|(![X19]:(~rinvP(X18,X19)|(![X20]:(~rinvS(X19,X20)|~ca(X20)))))))))&(![X21]:((rinvR(X21,skolem0001(X21))&(rinvP(skolem0001(X21),skolem0002(X21))&(rinvS(skolem0002(X21),skolem0003(X21))&ca(skolem0003(X21)))))|cc(X21)))),inference(skolemize,[status(esa)],[c25])).])).
% 0.14/0.48 fof(c28,plain,(![X17]:(![X18]:(![X19]:(![X20]:(![X21]:((~cc(X17)|(~rinvR(X17,X18)|(~rinvP(X18,X19)|(~rinvS(X19,X20)|~ca(X20)))))&((rinvR(X21,skolem0001(X21))|cc(X21))&((rinvP(skolem0001(X21),skolem0002(X21))|cc(X21))&((rinvS(skolem0002(X21),skolem0003(X21))|cc(X21))&(ca(skolem0003(X21))|cc(X21))))))))))),inference(distribute,[status(thm)],[c27])).
% 0.14/0.48 cnf(c29,plain,~cc(X64)|~rinvR(X64,X65)|~rinvP(X65,X67)|~rinvS(X67,X66)|~ca(X66),inference(split_conjunct,[status(thm)],[c28])).
% 0.14/0.48 fof(axiom_7,axiom,(![X]:(![Y]:(rinvS(X,Y)<=>rs(Y,X)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p', axiom_7)).
% 0.14/0.48 fof(c4,plain,(![X]:(![Y]:((~rinvS(X,Y)|rs(Y,X))&(~rs(Y,X)|rinvS(X,Y))))),inference(fof_nnf,[status(thm)],[axiom_7])).
% 0.14/0.48 fof(c5,plain,((![X]:(![Y]:(~rinvS(X,Y)|rs(Y,X))))&(![X]:(![Y]:(~rs(Y,X)|rinvS(X,Y))))),inference(shift_quantors,[status(thm)],[c4])).
% 0.14/0.48 fof(c7,plain,(![X5]:(![X6]:(![X7]:(![X8]:((~rinvS(X5,X6)|rs(X6,X5))&(~rs(X8,X7)|rinvS(X7,X8))))))),inference(shift_quantors,[status(thm)],[fof(c6,plain,((![X5]:(![X6]:(~rinvS(X5,X6)|rs(X6,X5))))&(![X7]:(![X8]:(~rs(X8,X7)|rinvS(X7,X8))))),inference(variable_rename,[status(thm)],[c5])).])).
% 0.14/0.48 cnf(c9,plain,~rs(X52,X53)|rinvS(X53,X52),inference(split_conjunct,[status(thm)],[c7])).
% 0.14/0.48 cnf(c42,plain,~cUnsatisfiable(X71)|rs(X71,skolem0004(X71)),inference(split_conjunct,[status(thm)],[c41])).
% 0.14/0.48 cnf(c70,plain,rs(i2003_11_14_17_19_28752,skolem0004(i2003_11_14_17_19_28752)),inference(resolution,[status(thm)],[c42, c0])).
% 0.14/0.48 cnf(c71,plain,rinvS(skolem0004(i2003_11_14_17_19_28752),i2003_11_14_17_19_28752),inference(resolution,[status(thm)],[c70, c9])).
% 0.14/0.48 cnf(c73,plain,~cc(X99)|~rinvR(X99,X100)|~rinvP(X100,skolem0004(i2003_11_14_17_19_28752))|~ca(i2003_11_14_17_19_28752),inference(resolution,[status(thm)],[c71, c29])).
% 0.14/0.48 cnf(c93,plain,~cc(X104)|~rinvR(X104,skolem0005(i2003_11_14_17_19_28752))|~ca(i2003_11_14_17_19_28752),inference(resolution,[status(thm)],[c73, c80])).
% 0.14/0.48 fof(axiom_6,axiom,(![X]:(![Y]:(rinvR(X,Y)<=>rr(Y,X)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p', axiom_6)).
% 0.14/0.48 fof(c10,plain,(![X]:(![Y]:((~rinvR(X,Y)|rr(Y,X))&(~rr(Y,X)|rinvR(X,Y))))),inference(fof_nnf,[status(thm)],[axiom_6])).
% 0.14/0.48 fof(c11,plain,((![X]:(![Y]:(~rinvR(X,Y)|rr(Y,X))))&(![X]:(![Y]:(~rr(Y,X)|rinvR(X,Y))))),inference(shift_quantors,[status(thm)],[c10])).
% 0.14/0.48 fof(c13,plain,(![X9]:(![X10]:(![X11]:(![X12]:((~rinvR(X9,X10)|rr(X10,X9))&(~rr(X12,X11)|rinvR(X11,X12))))))),inference(shift_quantors,[status(thm)],[fof(c12,plain,((![X9]:(![X10]:(~rinvR(X9,X10)|rr(X10,X9))))&(![X11]:(![X12]:(~rr(X12,X11)|rinvR(X11,X12))))),inference(variable_rename,[status(thm)],[c11])).])).
% 0.14/0.48 cnf(c15,plain,~rr(X57,X56)|rinvR(X56,X57),inference(split_conjunct,[status(thm)],[c13])).
% 0.14/0.48 cnf(c98,plain,rinvR(skolem0006(i2003_11_14_17_19_28752,skolem0005(i2003_11_14_17_19_28752)),skolem0005(i2003_11_14_17_19_28752)),inference(resolution,[status(thm)],[c96, c15])).
% 0.14/0.48 cnf(c101,plain,~cc(skolem0006(i2003_11_14_17_19_28752,skolem0005(i2003_11_14_17_19_28752)))|~ca(i2003_11_14_17_19_28752),inference(resolution,[status(thm)],[c98, c93])).
% 0.14/0.48 cnf(c108,plain,~ca(i2003_11_14_17_19_28752),inference(resolution,[status(thm)],[c101, c100])).
% 0.14/0.48 cnf(c113,plain,$false,inference(resolution,[status(thm)],[c108, c66])).
% 0.14/0.48 % SZS output end CNFRefutation
% 0.14/0.48
% 0.14/0.48 % Initial clauses : 29
% 0.14/0.48 % Processed clauses : 53
% 0.14/0.48 % Factors computed : 1
% 0.14/0.48 % Resolvents computed: 47
% 0.14/0.48 % Tautologies deleted: 3
% 0.14/0.48 % Forward subsumed : 11
% 0.14/0.48 % Backward subsumed : 7
% 0.14/0.48 % -------- CPU Time ---------
% 0.14/0.48 % User time : 0.172 s
% 0.14/0.48 % System time : 0.014 s
% 0.14/0.48 % Total time : 0.186 s
%------------------------------------------------------------------------------