TSTP Solution File: SWV411+1 by PyRes---1.3
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- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.3
% Problem : SWV411+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n017.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 : 600s
% DateTime : Wed Jul 20 21:17:08 EDT 2022
% Result : Theorem 95.69s 95.90s
% Output : Refutation 95.69s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SWV411+1 : TPTP v8.1.0. Released v3.3.0.
% 0.07/0.14 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.14/0.35 % Computer : n017.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 600
% 0.14/0.35 % DateTime : Wed Jun 15 22:44:25 EDT 2022
% 0.14/0.35 % CPUTime :
% 95.69/95.90 # Version: 1.3
% 95.69/95.90 # SZS status Theorem
% 95.69/95.90 # SZS output start CNFRefutation
% 95.69/95.90 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)))))))),input).
% 95.69/95.90 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])).
% 95.69/95.90 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])).
% 95.69/95.90 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])).
% 95.69/95.90 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])).])).
% 95.69/95.90 cnf(c17,negated_conjecture,~pair_in_list(insert_slb(skolem0001,pair(skolem0004,skolem0005)),skolem0003,X226),inference(split_conjunct,status(thm),[c14])).
% 95.69/95.90 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)))))))),input).
% 95.69/95.90 fof(c40,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)))&((~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])).
% 95.69/95.90 fof(c41,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))))))))&(![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])).
% 95.69/95.90 fof(c43,axiom,(![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,axiom,((![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])).])).
% 95.69/95.90 fof(c44,axiom,(![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])).
% 95.69/95.90 cnf(c47,axiom,~pair_in_list(X348,X349,X352)|pair_in_list(insert_slb(X348,pair(X351,X350)),X349,X352),inference(split_conjunct,status(thm),[c44])).
% 95.69/95.90 cnf(c15,negated_conjecture,~contains_slb(skolem0001,X209)|pair_in_list(skolem0001,X209,skolem0002(X209)),inference(split_conjunct,status(thm),[c14])).
% 95.69/95.90 cnf(c16,negated_conjecture,contains_slb(insert_slb(skolem0001,pair(skolem0004,skolem0005)),skolem0003),inference(split_conjunct,status(thm),[c14])).
% 95.69/95.90 fof(ax21,axiom,(![U]:(![V]:(![W]:(![X]:(contains_slb(insert_slb(U,pair(V,X)),W)<=>(contains_slb(U,W)|V=W)))))),input).
% 95.69/95.90 fof(c52,axiom,(![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])).
% 95.69/95.90 fof(c53,axiom,((![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])).
% 95.69/95.90 fof(c55,axiom,(![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,axiom,((![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])).])).
% 95.69/95.90 fof(c56,axiom,(![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])).
% 95.69/95.90 cnf(c57,axiom,~contains_slb(insert_slb(X380,pair(X379,X377)),X378)|contains_slb(X380,X378)|X379=X378,inference(split_conjunct,status(thm),[c56])).
% 95.69/95.90 cnf(c361,plain,contains_slb(skolem0001,skolem0003)|skolem0004=skolem0003,inference(resolution,status(thm),[c57, c16])).
% 95.69/95.90 cnf(reflexivity,axiom,X67=X67,eq_axiom).
% 95.69/95.90 cnf(c48,axiom,X364!=X362|X361!=X365|pair_in_list(insert_slb(X363,pair(X364,X361)),X362,X365),inference(split_conjunct,status(thm),[c44])).
% 95.69/95.90 cnf(c358,plain,X1082!=X1081|pair_in_list(insert_slb(X1083,pair(X1082,X1084)),X1081,X1084),inference(resolution,status(thm),[c48, reflexivity])).
% 95.69/95.90 cnf(c2124,plain,pair_in_list(insert_slb(X12464,pair(skolem0004,X12463)),skolem0003,X12463)|contains_slb(skolem0001,skolem0003),inference(resolution,status(thm),[c358, c361])).
% 95.69/95.90 cnf(c122945,plain,contains_slb(skolem0001,skolem0003),inference(resolution,status(thm),[c2124, c17])).
% 95.69/95.90 cnf(c122953,plain,pair_in_list(skolem0001,skolem0003,skolem0002(skolem0003)),inference(resolution,status(thm),[c122945, c15])).
% 95.69/95.90 cnf(c122957,plain,pair_in_list(insert_slb(skolem0001,pair(X12486,X12487)),skolem0003,skolem0002(skolem0003)),inference(resolution,status(thm),[c122953, c47])).
% 95.69/95.90 cnf(c123489,plain,$false,inference(resolution,status(thm),[c122957, c17])).
% 95.69/95.90 # SZS output end CNFRefutation
% 95.69/95.90
% 95.69/95.90 # Initial clauses : 41
% 95.69/95.90 # Processed clauses : 1168
% 95.69/95.90 # Factors computed : 332
% 95.69/95.90 # Resolvents computed: 123074
% 95.69/95.90 # Tautologies deleted: 4
% 95.69/95.90 # Forward subsumed : 3368
% 95.69/95.90 # Backward subsumed : 208
% 95.69/95.90 # -------- CPU Time ---------
% 95.69/95.90 # User time : 95.240 s
% 95.69/95.90 # System time : 0.305 s
% 95.69/95.90 # Total time : 95.545 s
%------------------------------------------------------------------------------