%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : SWV411+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n004.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 17:44:55 EDT 2024
% Result : Theorem 98.49s 98.68s
% Output : Refutation 98.49s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.14 % Problem : SWV411+1 : TPTP v8.1.2. Released v3.3.0.
% 0.12/0.14 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.14/0.36 % Computer : n004.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Thu May 9 06:25:08 EDT 2024
% 0.14/0.36 % CPUTime :
% 98.49/98.68 % Version: 1.5
% 98.49/98.68 % SZS status Theorem
% 98.49/98.68 % SZS output start CNFRefutation
% 98.49/98.68 fof(l47_co,conjecture,(![U]:((![V]:(contains_slb(U,V)=>(?[W]:pair_in_list(U,V,W))))=>(![X]:(![Y]:(![Z]:(contains_slb(insert_slb(U,pair(Y,Z)),X)=>(?[X1]:pair_in_list(insert_slb(U,pair(Y,Z)),X,X1)))))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p', l47_co)).
% 98.49/98.68 fof(c10,negated_conjecture,(~(![U]:((![V]:(contains_slb(U,V)=>(?[W]:pair_in_list(U,V,W))))=>(![X]:(![Y]:(![Z]:(contains_slb(insert_slb(U,pair(Y,Z)),X)=>(?[X1]:pair_in_list(insert_slb(U,pair(Y,Z)),X,X1))))))))),inference(assume_negation,[status(cth)],[l47_co])).
% 98.49/98.68 fof(c11,negated_conjecture,(?[U]:((![V]:(~contains_slb(U,V)|(?[W]:pair_in_list(U,V,W))))&(?[X]:(?[Y]:(?[Z]:(contains_slb(insert_slb(U,pair(Y,Z)),X)&(![X1]:~pair_in_list(insert_slb(U,pair(Y,Z)),X,X1)))))))),inference(fof_nnf,[status(thm)],[c10])).
% 98.49/98.68 fof(c12,negated_conjecture,(?[X2]:((![X3]:(~contains_slb(X2,X3)|(?[X4]:pair_in_list(X2,X3,X4))))&(?[X5]:(?[X6]:(?[X7]:(contains_slb(insert_slb(X2,pair(X6,X7)),X5)&(![X8]:~pair_in_list(insert_slb(X2,pair(X6,X7)),X5,X8)))))))),inference(variable_rename,[status(thm)],[c11])).
% 98.49/98.68 fof(c14,negated_conjecture,(![X3]:(![X8]:((~contains_slb(skolem0001,X3)|pair_in_list(skolem0001,X3,skolem0002(X3)))&(contains_slb(insert_slb(skolem0001,pair(skolem0004,skolem0005)),skolem0003)&~pair_in_list(insert_slb(skolem0001,pair(skolem0004,skolem0005)),skolem0003,X8))))),inference(shift_quantors,[status(thm)],[fof(c13,negated_conjecture,((![X3]:(~contains_slb(skolem0001,X3)|pair_in_list(skolem0001,X3,skolem0002(X3))))&(contains_slb(insert_slb(skolem0001,pair(skolem0004,skolem0005)),skolem0003)&(![X8]:~pair_in_list(insert_slb(skolem0001,pair(skolem0004,skolem0005)),skolem0003,X8)))),inference(skolemize,[status(esa)],[c12])).])).
% 98.49/98.68 cnf(c17,negated_conjecture,~pair_in_list(insert_slb(skolem0001,pair(skolem0004,skolem0005)),skolem0003,X224),inference(split_conjunct,[status(thm)],[c14])).
% 98.49/98.68 fof(ax23,axiom,(![U]:(![V]:(![W]:(![X]:(![Y]:(pair_in_list(insert_slb(U,pair(V,X)),W,Y)<=>(pair_in_list(U,W,Y)|(V=W&X=Y)))))))),file('/export/starexec/sandbox2/benchmark/Axioms/SWV007+2.ax', ax23)).
% 98.49/98.68 fof(c40,plain,(![U]:(![V]:(![W]:(![X]:(![Y]:((~pair_in_list(insert_slb(U,pair(V,X)),W,Y)|(pair_in_list(U,W,Y)|(V=W&X=Y)))&((~pair_in_list(U,W,Y)&(V!=W|X!=Y))|pair_in_list(insert_slb(U,pair(V,X)),W,Y)))))))),inference(fof_nnf,[status(thm)],[ax23])).
% 98.49/98.68 fof(c41,plain,((![U]:(![V]:(![W]:(![X]:(![Y]:(~pair_in_list(insert_slb(U,pair(V,X)),W,Y)|(pair_in_list(U,W,Y)|(V=W&X=Y))))))))&(![U]:(![V]:(![W]:(![X]:(![Y]:((~pair_in_list(U,W,Y)&(V!=W|X!=Y))|pair_in_list(insert_slb(U,pair(V,X)),W,Y)))))))),inference(shift_quantors,[status(thm)],[c40])).
% 98.49/98.68 fof(c43,plain,(![X32]:(![X33]:(![X34]:(![X35]:(![X36]:(![X37]:(![X38]:(![X39]:(![X40]:(![X41]:((~pair_in_list(insert_slb(X32,pair(X33,X35)),X34,X36)|(pair_in_list(X32,X34,X36)|(X33=X34&X35=X36)))&((~pair_in_list(X37,X39,X41)&(X38!=X39|X40!=X41))|pair_in_list(insert_slb(X37,pair(X38,X40)),X39,X41))))))))))))),inference(shift_quantors,[status(thm)],[fof(c42,plain,((![X32]:(![X33]:(![X34]:(![X35]:(![X36]:(~pair_in_list(insert_slb(X32,pair(X33,X35)),X34,X36)|(pair_in_list(X32,X34,X36)|(X33=X34&X35=X36))))))))&(![X37]:(![X38]:(![X39]:(![X40]:(![X41]:((~pair_in_list(X37,X39,X41)&(X38!=X39|X40!=X41))|pair_in_list(insert_slb(X37,pair(X38,X40)),X39,X41)))))))),inference(variable_rename,[status(thm)],[c41])).])).
% 98.49/98.68 fof(c44,plain,(![X32]:(![X33]:(![X34]:(![X35]:(![X36]:(![X37]:(![X38]:(![X39]:(![X40]:(![X41]:(((~pair_in_list(insert_slb(X32,pair(X33,X35)),X34,X36)|(pair_in_list(X32,X34,X36)|X33=X34))&(~pair_in_list(insert_slb(X32,pair(X33,X35)),X34,X36)|(pair_in_list(X32,X34,X36)|X35=X36)))&((~pair_in_list(X37,X39,X41)|pair_in_list(insert_slb(X37,pair(X38,X40)),X39,X41))&((X38!=X39|X40!=X41)|pair_in_list(insert_slb(X37,pair(X38,X40)),X39,X41)))))))))))))),inference(distribute,[status(thm)],[c43])).
% 98.49/98.68 cnf(c47,plain,~pair_in_list(X345,X347,X348)|pair_in_list(insert_slb(X345,pair(X349,X346)),X347,X348),inference(split_conjunct,[status(thm)],[c44])).
% 98.49/98.68 cnf(c15,negated_conjecture,~contains_slb(skolem0001,X210)|pair_in_list(skolem0001,X210,skolem0002(X210)),inference(split_conjunct,[status(thm)],[c14])).
% 98.49/98.68 cnf(c16,negated_conjecture,contains_slb(insert_slb(skolem0001,pair(skolem0004,skolem0005)),skolem0003),inference(split_conjunct,[status(thm)],[c14])).
% 98.49/98.68 fof(ax21,axiom,(![U]:(![V]:(![W]:(![X]:(contains_slb(insert_slb(U,pair(V,X)),W)<=>(contains_slb(U,W)|V=W)))))),file('/export/starexec/sandbox2/benchmark/Axioms/SWV007+2.ax', ax21)).
% 98.49/98.68 fof(c52,plain,(![U]:(![V]:(![W]:(![X]:((~contains_slb(insert_slb(U,pair(V,X)),W)|(contains_slb(U,W)|V=W))&((~contains_slb(U,W)&V!=W)|contains_slb(insert_slb(U,pair(V,X)),W))))))),inference(fof_nnf,[status(thm)],[ax21])).
% 98.49/98.68 fof(c53,plain,((![U]:(![V]:(![W]:((![X]:~contains_slb(insert_slb(U,pair(V,X)),W))|(contains_slb(U,W)|V=W)))))&(![U]:(![V]:(![W]:((~contains_slb(U,W)&V!=W)|(![X]:contains_slb(insert_slb(U,pair(V,X)),W))))))),inference(shift_quantors,[status(thm)],[c52])).
% 98.49/98.68 fof(c55,plain,(![X44]:(![X45]:(![X46]:(![X47]:(![X48]:(![X49]:(![X50]:(![X51]:((~contains_slb(insert_slb(X44,pair(X45,X47)),X46)|(contains_slb(X44,X46)|X45=X46))&((~contains_slb(X48,X50)&X49!=X50)|contains_slb(insert_slb(X48,pair(X49,X51)),X50))))))))))),inference(shift_quantors,[status(thm)],[fof(c54,plain,((![X44]:(![X45]:(![X46]:((![X47]:~contains_slb(insert_slb(X44,pair(X45,X47)),X46))|(contains_slb(X44,X46)|X45=X46)))))&(![X48]:(![X49]:(![X50]:((~contains_slb(X48,X50)&X49!=X50)|(![X51]:contains_slb(insert_slb(X48,pair(X49,X51)),X50))))))),inference(variable_rename,[status(thm)],[c53])).])).
% 98.49/98.68 fof(c56,plain,(![X44]:(![X45]:(![X46]:(![X47]:(![X48]:(![X49]:(![X50]:(![X51]:((~contains_slb(insert_slb(X44,pair(X45,X47)),X46)|(contains_slb(X44,X46)|X45=X46))&((~contains_slb(X48,X50)|contains_slb(insert_slb(X48,pair(X49,X51)),X50))&(X49!=X50|contains_slb(insert_slb(X48,pair(X49,X51)),X50)))))))))))),inference(distribute,[status(thm)],[c55])).
% 98.49/98.68 cnf(c57,plain,~contains_slb(insert_slb(X376,pair(X377,X375)),X374)|contains_slb(X376,X374)|X377=X374,inference(split_conjunct,[status(thm)],[c56])).
% 98.49/98.68 cnf(c369,plain,contains_slb(skolem0001,skolem0003)|skolem0004=skolem0003,inference(resolution,[status(thm)],[c57, c16])).
% 98.49/98.68 cnf(reflexivity,axiom,X67=X67,theory(equality)).
% 98.49/98.68 cnf(c48,plain,X362!=X360|X359!=X361|pair_in_list(insert_slb(X358,pair(X362,X359)),X360,X361),inference(split_conjunct,[status(thm)],[c44])).
% 98.49/98.68 cnf(c352,plain,X1118!=X1119|pair_in_list(insert_slb(X1120,pair(X1118,X1121)),X1119,X1121),inference(resolution,[status(thm)],[c48, reflexivity])).
% 98.49/98.68 cnf(c2312,plain,pair_in_list(insert_slb(X12482,pair(skolem0004,X12483)),skolem0003,X12483)|contains_slb(skolem0001,skolem0003),inference(resolution,[status(thm)],[c352, c369])).
% 98.49/98.68 cnf(c130093,plain,contains_slb(skolem0001,skolem0003),inference(resolution,[status(thm)],[c2312, c17])).
% 98.49/98.68 cnf(c130105,plain,pair_in_list(skolem0001,skolem0003,skolem0002(skolem0003)),inference(resolution,[status(thm)],[c130093, c15])).
% 98.49/98.68 cnf(c130108,plain,pair_in_list(insert_slb(skolem0001,pair(X12509,X12508)),skolem0003,skolem0002(skolem0003)),inference(resolution,[status(thm)],[c130105, c47])).
% 98.49/98.68 cnf(c130685,plain,$false,inference(resolution,[status(thm)],[c130108, c17])).
% 98.49/98.68 % SZS output end CNFRefutation
% 98.49/98.68
% 98.49/98.68 % Initial clauses : 41
% 98.49/98.68 % Processed clauses : 1214
% 98.49/98.68 % Factors computed : 373
% 98.49/98.68 % Resolvents computed: 130231
% 98.49/98.68 % Tautologies deleted: 6
% 98.49/98.68 % Forward subsumed : 3380
% 98.49/98.68 % Backward subsumed : 229
% 98.49/98.68 % -------- CPU Time ---------
% 98.49/98.68 % User time : 97.937 s
% 98.49/98.68 % System time : 0.340 s
% 98.49/98.68 % Total time : 98.277 s
%------------------------------------------------------------------------------