TSTP Solution File: GRA075+1 by PyRes---1.3
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.3
% Problem : GRA075+1 : TPTP v8.1.0. Released v6.4.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n023.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 : Sat Jul 16 07:21:30 EDT 2022
% Result : Satisfiable 0.39s 0.62s
% Output : Saturation 0.46s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : GRA075+1 : TPTP v8.1.0. Released v6.4.0.
% 0.03/0.12 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.12/0.33 % Computer : n023.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Tue May 31 02:38:56 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.39/0.62 # Version: 1.3
% 0.39/0.62 # SZS status Satisfiable
% 0.39/0.62 # SZS output start Saturation
% 0.39/0.62 fof(complete_properties,axiom,(complete=>(![V1]:(![V2]:(((vertex(V1)&vertex(V2))&V1!=V2)=>(?[E]:(edge(E)&((V1=head_of(E)&V2=tail_of(E))<~>(V2=head_of(E)&V1=tail_of(E))))))))),input).
% 0.39/0.62 fof(c96,axiom,(complete=>(![V1]:(![V2]:(((vertex(V1)&vertex(V2))&V1!=V2)=>(?[E]:(edge(E)&(~((V1=head_of(E)&V2=tail_of(E))<=>(V2=head_of(E)&V1=tail_of(E)))))))))),inference(fof_simplification,status(thm),[complete_properties])).
% 0.39/0.62 fof(c97,axiom,(~complete|(![V1]:(![V2]:(((~vertex(V1)|~vertex(V2))|V1=V2)|(?[E]:(edge(E)&(((V1!=head_of(E)|V2!=tail_of(E))|(V2!=head_of(E)|V1!=tail_of(E)))&((V1=head_of(E)&V2=tail_of(E))|(V2=head_of(E)&V1=tail_of(E)))))))))),inference(fof_nnf,status(thm),[c96])).
% 0.39/0.62 fof(c98,axiom,(~complete|(![X53]:(![X54]:(((~vertex(X53)|~vertex(X54))|X53=X54)|(?[X55]:(edge(X55)&(((X53!=head_of(X55)|X54!=tail_of(X55))|(X54!=head_of(X55)|X53!=tail_of(X55)))&((X53=head_of(X55)&X54=tail_of(X55))|(X54=head_of(X55)&X53=tail_of(X55)))))))))),inference(variable_rename,status(thm),[c97])).
% 0.39/0.62 fof(c100,axiom,(![X53]:(![X54]:(~complete|(((~vertex(X53)|~vertex(X54))|X53=X54)|(edge(skolem0006(X53,X54))&(((X53!=head_of(skolem0006(X53,X54))|X54!=tail_of(skolem0006(X53,X54)))|(X54!=head_of(skolem0006(X53,X54))|X53!=tail_of(skolem0006(X53,X54))))&((X53=head_of(skolem0006(X53,X54))&X54=tail_of(skolem0006(X53,X54)))|(X54=head_of(skolem0006(X53,X54))&X53=tail_of(skolem0006(X53,X54)))))))))),inference(shift_quantors,status(thm),[fof(c99,axiom,(~complete|(![X53]:(![X54]:(((~vertex(X53)|~vertex(X54))|X53=X54)|(edge(skolem0006(X53,X54))&(((X53!=head_of(skolem0006(X53,X54))|X54!=tail_of(skolem0006(X53,X54)))|(X54!=head_of(skolem0006(X53,X54))|X53!=tail_of(skolem0006(X53,X54))))&((X53=head_of(skolem0006(X53,X54))&X54=tail_of(skolem0006(X53,X54)))|(X54=head_of(skolem0006(X53,X54))&X53=tail_of(skolem0006(X53,X54)))))))))),inference(skolemize,status(esa),[c98])).])).
% 0.39/0.62 fof(c101,axiom,(![X53]:(![X54]:((~complete|(((~vertex(X53)|~vertex(X54))|X53=X54)|edge(skolem0006(X53,X54))))&((~complete|(((~vertex(X53)|~vertex(X54))|X53=X54)|((X53!=head_of(skolem0006(X53,X54))|X54!=tail_of(skolem0006(X53,X54)))|(X54!=head_of(skolem0006(X53,X54))|X53!=tail_of(skolem0006(X53,X54))))))&(((~complete|(((~vertex(X53)|~vertex(X54))|X53=X54)|(X53=head_of(skolem0006(X53,X54))|X54=head_of(skolem0006(X53,X54)))))&(~complete|(((~vertex(X53)|~vertex(X54))|X53=X54)|(X53=head_of(skolem0006(X53,X54))|X53=tail_of(skolem0006(X53,X54))))))&((~complete|(((~vertex(X53)|~vertex(X54))|X53=X54)|(X54=tail_of(skolem0006(X53,X54))|X54=head_of(skolem0006(X53,X54)))))&(~complete|(((~vertex(X53)|~vertex(X54))|X53=X54)|(X54=tail_of(skolem0006(X53,X54))|X53=tail_of(skolem0006(X53,X54))))))))))),inference(distribute,status(thm),[c100])).
% 0.39/0.62 cnf(c103,axiom,~complete|~vertex(X294)|~vertex(X293)|X294=X293|X294!=head_of(skolem0006(X294,X293))|X293!=tail_of(skolem0006(X294,X293))|X293!=head_of(skolem0006(X294,X293))|X294!=tail_of(skolem0006(X294,X293)),inference(split_conjunct,status(thm),[c101])).
% 0.39/0.62 cnf(reflexivity,axiom,X58=X58,eq_axiom).
% 0.39/0.62 fof(path_defn,axiom,(![V1]:(![V2]:(![P]:(path(V1,V2,P)<=((vertex(V1)&vertex(V2))&(?[E]:((edge(E)&V1=tail_of(E))&((V2=head_of(E)&P=path_cons(E,empty))|(?[TP]:(path(head_of(E),V2,TP)&P=path_cons(E,TP))))))))))),input).
% 0.39/0.62 fof(c89,axiom,(![V1]:(![V2]:(![P]:(((vertex(V1)&vertex(V2))&(?[E]:((edge(E)&V1=tail_of(E))&((V2=head_of(E)&P=path_cons(E,empty))|(?[TP]:(path(head_of(E),V2,TP)&P=path_cons(E,TP)))))))=>path(V1,V2,P))))),inference(fof_simplification,status(thm),[path_defn])).
% 0.39/0.62 fof(c90,axiom,(![V1]:(![V2]:(![P]:(((~vertex(V1)|~vertex(V2))|(![E]:((~edge(E)|V1!=tail_of(E))|((V2!=head_of(E)|P!=path_cons(E,empty))&(![TP]:(~path(head_of(E),V2,TP)|P!=path_cons(E,TP)))))))|path(V1,V2,P))))),inference(fof_nnf,status(thm),[c89])).
% 0.39/0.62 fof(c92,axiom,(![X48]:(![X49]:(![X50]:(![X51]:(![X52]:(((~vertex(X48)|~vertex(X49))|((~edge(X51)|X48!=tail_of(X51))|((X49!=head_of(X51)|X50!=path_cons(X51,empty))&(~path(head_of(X51),X49,X52)|X50!=path_cons(X51,X52)))))|path(X48,X49,X50))))))),inference(shift_quantors,status(thm),[fof(c91,axiom,(![X48]:(![X49]:(![X50]:(((~vertex(X48)|~vertex(X49))|(![X51]:((~edge(X51)|X48!=tail_of(X51))|((X49!=head_of(X51)|X50!=path_cons(X51,empty))&(![X52]:(~path(head_of(X51),X49,X52)|X50!=path_cons(X51,X52)))))))|path(X48,X49,X50))))),inference(variable_rename,status(thm),[c90])).])).
% 0.39/0.62 fof(c93,axiom,(![X48]:(![X49]:(![X50]:(![X51]:(![X52]:((((~vertex(X48)|~vertex(X49))|((~edge(X51)|X48!=tail_of(X51))|(X49!=head_of(X51)|X50!=path_cons(X51,empty))))|path(X48,X49,X50))&(((~vertex(X48)|~vertex(X49))|((~edge(X51)|X48!=tail_of(X51))|(~path(head_of(X51),X49,X52)|X50!=path_cons(X51,X52))))|path(X48,X49,X50)))))))),inference(distribute,status(thm),[c92])).
% 0.39/0.62 cnf(c95,axiom,~vertex(X285)|~vertex(X288)|~edge(X286)|X285!=tail_of(X286)|~path(head_of(X286),X288,X287)|X284!=path_cons(X286,X287)|path(X285,X288,X284),inference(split_conjunct,status(thm),[c93])).
% 0.39/0.62 cnf(c131,plain,~vertex(X292)|~vertex(X291)|~edge(X289)|X292!=tail_of(X289)|~path(head_of(X289),X291,X290)|path(X292,X291,path_cons(X289,X290)),inference(resolution,status(thm),[c95, reflexivity])).
% 0.39/0.62 cnf(c94,axiom,~vertex(X270)|~vertex(X273)|~edge(X272)|X270!=tail_of(X272)|X273!=head_of(X272)|X271!=path_cons(X272,empty)|path(X270,X273,X271),inference(split_conjunct,status(thm),[c93])).
% 0.39/0.62 cnf(c128,plain,~vertex(X274)|~vertex(X275)|~edge(X276)|X274!=tail_of(X276)|X275!=head_of(X276)|path(X274,X275,path_cons(X276,empty)),inference(resolution,status(thm),[c94, reflexivity])).
% 0.39/0.62 cnf(c129,plain,~vertex(X282)|~vertex(head_of(X281))|~edge(X281)|X282!=tail_of(X281)|path(X282,head_of(X281),path_cons(X281,empty)),inference(resolution,status(thm),[c128, reflexivity])).
% 0.39/0.62 cnf(c130,plain,~vertex(tail_of(X283))|~vertex(head_of(X283))|~edge(X283)|path(tail_of(X283),head_of(X283),path_cons(X283,empty)),inference(resolution,status(thm),[c129, reflexivity])).
% 0.39/0.62 fof(path_properties,axiom,(![V1]:(![V2]:(![P]:(path(V1,V2,P)=>((vertex(V1)&vertex(V2))&(?[E]:((edge(E)&V1=tail_of(E))&((V2=head_of(E)&P=path_cons(E,empty))<~>(?[TP]:(path(head_of(E),V2,TP)&P=path_cons(E,TP))))))))))),input).
% 0.39/0.62 fof(c74,axiom,(![V1]:(![V2]:(![P]:(path(V1,V2,P)=>((vertex(V1)&vertex(V2))&(?[E]:((edge(E)&V1=tail_of(E))&(~((V2=head_of(E)&P=path_cons(E,empty))<=>(?[TP]:(path(head_of(E),V2,TP)&P=path_cons(E,TP)))))))))))),inference(fof_simplification,status(thm),[path_properties])).
% 0.39/0.62 fof(c75,axiom,(![V1]:(![V2]:(![P]:(~path(V1,V2,P)|((vertex(V1)&vertex(V2))&(?[E]:((edge(E)&V1=tail_of(E))&(((V2!=head_of(E)|P!=path_cons(E,empty))|(![TP]:(~path(head_of(E),V2,TP)|P!=path_cons(E,TP))))&((V2=head_of(E)&P=path_cons(E,empty))|(?[TP]:(path(head_of(E),V2,TP)&P=path_cons(E,TP)))))))))))),inference(fof_nnf,status(thm),[c74])).
% 0.39/0.62 fof(c76,axiom,(![X42]:(![X43]:(![X44]:(~path(X42,X43,X44)|((vertex(X42)&vertex(X43))&(?[X45]:((edge(X45)&X42=tail_of(X45))&(((X43!=head_of(X45)|X44!=path_cons(X45,empty))|(![X46]:(~path(head_of(X45),X43,X46)|X44!=path_cons(X45,X46))))&((X43=head_of(X45)&X44=path_cons(X45,empty))|(?[X47]:(path(head_of(X45),X43,X47)&X44=path_cons(X45,X47)))))))))))),inference(variable_rename,status(thm),[c75])).
% 0.39/0.62 fof(c78,axiom,(![X42]:(![X43]:(![X44]:(![X46]:(~path(X42,X43,X44)|((vertex(X42)&vertex(X43))&((edge(skolem0004(X42,X43,X44))&X42=tail_of(skolem0004(X42,X43,X44)))&(((X43!=head_of(skolem0004(X42,X43,X44))|X44!=path_cons(skolem0004(X42,X43,X44),empty))|(~path(head_of(skolem0004(X42,X43,X44)),X43,X46)|X44!=path_cons(skolem0004(X42,X43,X44),X46)))&((X43=head_of(skolem0004(X42,X43,X44))&X44=path_cons(skolem0004(X42,X43,X44),empty))|(path(head_of(skolem0004(X42,X43,X44)),X43,skolem0005(X42,X43,X44))&X44=path_cons(skolem0004(X42,X43,X44),skolem0005(X42,X43,X44)))))))))))),inference(shift_quantors,status(thm),[fof(c77,axiom,(![X42]:(![X43]:(![X44]:(~path(X42,X43,X44)|((vertex(X42)&vertex(X43))&((edge(skolem0004(X42,X43,X44))&X42=tail_of(skolem0004(X42,X43,X44)))&(((X43!=head_of(skolem0004(X42,X43,X44))|X44!=path_cons(skolem0004(X42,X43,X44),empty))|(![X46]:(~path(head_of(skolem0004(X42,X43,X44)),X43,X46)|X44!=path_cons(skolem0004(X42,X43,X44),X46))))&((X43=head_of(skolem0004(X42,X43,X44))&X44=path_cons(skolem0004(X42,X43,X44),empty))|(path(head_of(skolem0004(X42,X43,X44)),X43,skolem0005(X42,X43,X44))&X44=path_cons(skolem0004(X42,X43,X44),skolem0005(X42,X43,X44))))))))))),inference(skolemize,status(esa),[c76])).])).
% 0.39/0.62 fof(c79,axiom,(![X42]:(![X43]:(![X44]:(![X46]:(((~path(X42,X43,X44)|vertex(X42))&(~path(X42,X43,X44)|vertex(X43)))&(((~path(X42,X43,X44)|edge(skolem0004(X42,X43,X44)))&(~path(X42,X43,X44)|X42=tail_of(skolem0004(X42,X43,X44))))&((~path(X42,X43,X44)|((X43!=head_of(skolem0004(X42,X43,X44))|X44!=path_cons(skolem0004(X42,X43,X44),empty))|(~path(head_of(skolem0004(X42,X43,X44)),X43,X46)|X44!=path_cons(skolem0004(X42,X43,X44),X46))))&(((~path(X42,X43,X44)|(X43=head_of(skolem0004(X42,X43,X44))|path(head_of(skolem0004(X42,X43,X44)),X43,skolem0005(X42,X43,X44))))&(~path(X42,X43,X44)|(X43=head_of(skolem0004(X42,X43,X44))|X44=path_cons(skolem0004(X42,X43,X44),skolem0005(X42,X43,X44)))))&((~path(X42,X43,X44)|(X44=path_cons(skolem0004(X42,X43,X44),empty)|path(head_of(skolem0004(X42,X43,X44)),X43,skolem0005(X42,X43,X44))))&(~path(X42,X43,X44)|(X44=path_cons(skolem0004(X42,X43,X44),empty)|X44=path_cons(skolem0004(X42,X43,X44),skolem0005(X42,X43,X44))))))))))))),inference(distribute,status(thm),[c78])).
% 0.39/0.62 cnf(c84,axiom,~path(X277,X278,X279)|X278!=head_of(skolem0004(X277,X278,X279))|X279!=path_cons(skolem0004(X277,X278,X279),empty)|~path(head_of(skolem0004(X277,X278,X279)),X278,X280)|X279!=path_cons(skolem0004(X277,X278,X279),X280),inference(split_conjunct,status(thm),[c79])).
% 0.39/0.62 cnf(c88,axiom,~path(X267,X268,X269)|X269=path_cons(skolem0004(X267,X268,X269),empty)|X269=path_cons(skolem0004(X267,X268,X269),skolem0005(X267,X268,X269)),inference(split_conjunct,status(thm),[c79])).
% 0.39/0.62 cnf(c87,axiom,~path(X264,X265,X266)|X266=path_cons(skolem0004(X264,X265,X266),empty)|path(head_of(skolem0004(X264,X265,X266)),X265,skolem0005(X264,X265,X266)),inference(split_conjunct,status(thm),[c79])).
% 0.39/0.62 cnf(c107,axiom,~complete|~vertex(X263)|~vertex(X262)|X263=X262|X262=tail_of(skolem0006(X263,X262))|X263=tail_of(skolem0006(X263,X262)),inference(split_conjunct,status(thm),[c101])).
% 0.39/0.62 fof(in_path_properties,axiom,(![V1]:(![V2]:(![P]:(![V]:((path(V1,V2,P)&in_path(V,P))=>(vertex(V)&(?[E]:(on_path(E,P)&(V=head_of(E)|V=tail_of(E)))))))))),input).
% 0.39/0.62 fof(c61,axiom,(![V1]:(![V2]:(![P]:(![V]:((~path(V1,V2,P)|~in_path(V,P))|(vertex(V)&(?[E]:(on_path(E,P)&(V=head_of(E)|V=tail_of(E)))))))))),inference(fof_nnf,status(thm),[in_path_properties])).
% 0.39/0.62 fof(c62,axiom,(![X33]:(![X34]:(![X35]:(![X36]:((~path(X33,X34,X35)|~in_path(X36,X35))|(vertex(X36)&(?[X37]:(on_path(X37,X35)&(X36=head_of(X37)|X36=tail_of(X37)))))))))),inference(variable_rename,status(thm),[c61])).
% 0.39/0.62 fof(c63,axiom,(![X33]:(![X34]:(![X35]:(![X36]:((~path(X33,X34,X35)|~in_path(X36,X35))|(vertex(X36)&(on_path(skolem0003(X33,X34,X35,X36),X35)&(X36=head_of(skolem0003(X33,X34,X35,X36))|X36=tail_of(skolem0003(X33,X34,X35,X36)))))))))),inference(skolemize,status(esa),[c62])).
% 0.39/0.62 fof(c64,axiom,(![X33]:(![X34]:(![X35]:(![X36]:(((~path(X33,X34,X35)|~in_path(X36,X35))|vertex(X36))&(((~path(X33,X34,X35)|~in_path(X36,X35))|on_path(skolem0003(X33,X34,X35,X36),X35))&((~path(X33,X34,X35)|~in_path(X36,X35))|(X36=head_of(skolem0003(X33,X34,X35,X36))|X36=tail_of(skolem0003(X33,X34,X35,X36)))))))))),inference(distribute,status(thm),[c63])).
% 0.39/0.62 cnf(c67,axiom,~path(X258,X260,X259)|~in_path(X261,X259)|X261=head_of(skolem0003(X258,X260,X259,X261))|X261=tail_of(skolem0003(X258,X260,X259,X261)),inference(split_conjunct,status(thm),[c64])).
% 0.39/0.62 cnf(c106,axiom,~complete|~vertex(X257)|~vertex(X256)|X257=X256|X256=tail_of(skolem0006(X257,X256))|X256=head_of(skolem0006(X257,X256)),inference(split_conjunct,status(thm),[c101])).
% 0.39/0.62 cnf(c105,axiom,~complete|~vertex(X255)|~vertex(X254)|X255=X254|X255=head_of(skolem0006(X255,X254))|X255=tail_of(skolem0006(X255,X254)),inference(split_conjunct,status(thm),[c101])).
% 0.39/0.62 cnf(c104,axiom,~complete|~vertex(X253)|~vertex(X252)|X253=X252|X253=head_of(skolem0006(X253,X252))|X252=head_of(skolem0006(X253,X252)),inference(split_conjunct,status(thm),[c101])).
% 0.39/0.62 cnf(c86,axiom,~path(X249,X250,X251)|X250=head_of(skolem0004(X249,X250,X251))|X251=path_cons(skolem0004(X249,X250,X251),skolem0005(X249,X250,X251)),inference(split_conjunct,status(thm),[c79])).
% 0.39/0.62 cnf(c85,axiom,~path(X246,X247,X248)|X247=head_of(skolem0004(X246,X247,X248))|path(head_of(skolem0004(X246,X247,X248)),X247,skolem0005(X246,X247,X248)),inference(split_conjunct,status(thm),[c79])).
% 0.39/0.62 fof(precedes_defn,axiom,(![P]:(![V1]:(![V2]:(path(V1,V2,P)=>(![E1]:(![E2]:(precedes(E1,E2,P)<=((on_path(E1,P)&on_path(E2,P))&(sequential(E1,E2)|(?[E3]:(sequential(E1,E3)&precedes(E3,E2,P)))))))))))),input).
% 0.39/0.62 fof(c43,axiom,(![P]:(![V1]:(![V2]:(path(V1,V2,P)=>(![E1]:(![E2]:(((on_path(E1,P)&on_path(E2,P))&(sequential(E1,E2)|(?[E3]:(sequential(E1,E3)&precedes(E3,E2,P)))))=>precedes(E1,E2,P)))))))),inference(fof_simplification,status(thm),[precedes_defn])).
% 0.39/0.62 fof(c44,axiom,(![P]:(![V1]:(![V2]:(~path(V1,V2,P)|(![E1]:(![E2]:(((~on_path(E1,P)|~on_path(E2,P))|(~sequential(E1,E2)&(![E3]:(~sequential(E1,E3)|~precedes(E3,E2,P)))))|precedes(E1,E2,P)))))))),inference(fof_nnf,status(thm),[c43])).
% 0.39/0.62 fof(c45,axiom,(![P]:((![V1]:(![V2]:~path(V1,V2,P)))|(![E1]:(![E2]:(((~on_path(E1,P)|~on_path(E2,P))|(~sequential(E1,E2)&(![E3]:(~sequential(E1,E3)|~precedes(E3,E2,P)))))|precedes(E1,E2,P)))))),inference(shift_quantors,status(thm),[c44])).
% 0.39/0.62 fof(c47,axiom,(![X23]:(![X24]:(![X25]:(![X26]:(![X27]:(![X28]:(~path(X24,X25,X23)|(((~on_path(X26,X23)|~on_path(X27,X23))|(~sequential(X26,X27)&(~sequential(X26,X28)|~precedes(X28,X27,X23))))|precedes(X26,X27,X23))))))))),inference(shift_quantors,status(thm),[fof(c46,axiom,(![X23]:((![X24]:(![X25]:~path(X24,X25,X23)))|(![X26]:(![X27]:(((~on_path(X26,X23)|~on_path(X27,X23))|(~sequential(X26,X27)&(![X28]:(~sequential(X26,X28)|~precedes(X28,X27,X23)))))|precedes(X26,X27,X23)))))),inference(variable_rename,status(thm),[c45])).])).
% 0.39/0.62 fof(c48,axiom,(![X23]:(![X24]:(![X25]:(![X26]:(![X27]:(![X28]:((~path(X24,X25,X23)|(((~on_path(X26,X23)|~on_path(X27,X23))|~sequential(X26,X27))|precedes(X26,X27,X23)))&(~path(X24,X25,X23)|(((~on_path(X26,X23)|~on_path(X27,X23))|(~sequential(X26,X28)|~precedes(X28,X27,X23)))|precedes(X26,X27,X23)))))))))),inference(distribute,status(thm),[c47])).
% 0.39/0.62 cnf(c50,axiom,~path(X244,X245,X240)|~on_path(X242,X240)|~on_path(X241,X240)|~sequential(X242,X243)|~precedes(X243,X241,X240)|precedes(X242,X241,X240),inference(split_conjunct,status(thm),[c48])).
% 0.39/0.62 fof(shortest_path_defn,axiom,(![V1]:(![V2]:(![SP]:(shortest_path(V1,V2,SP)<=>((path(V1,V2,SP)&V1!=V2)&(![P]:(path(V1,V2,P)=>less_or_equal(length_of(SP),length_of(P))))))))),input).
% 0.39/0.62 fof(c20,axiom,(![V1]:(![V2]:(![SP]:((~shortest_path(V1,V2,SP)|((path(V1,V2,SP)&V1!=V2)&(![P]:(~path(V1,V2,P)|less_or_equal(length_of(SP),length_of(P))))))&(((~path(V1,V2,SP)|V1=V2)|(?[P]:(path(V1,V2,P)&~less_or_equal(length_of(SP),length_of(P)))))|shortest_path(V1,V2,SP)))))),inference(fof_nnf,status(thm),[shortest_path_defn])).
% 0.39/0.62 fof(c21,axiom,((![V1]:(![V2]:(![SP]:(~shortest_path(V1,V2,SP)|((path(V1,V2,SP)&V1!=V2)&(![P]:(~path(V1,V2,P)|less_or_equal(length_of(SP),length_of(P)))))))))&(![V1]:(![V2]:(![SP]:(((~path(V1,V2,SP)|V1=V2)|(?[P]:(path(V1,V2,P)&~less_or_equal(length_of(SP),length_of(P)))))|shortest_path(V1,V2,SP)))))),inference(shift_quantors,status(thm),[c20])).
% 0.39/0.62 fof(c22,axiom,((![X8]:(![X9]:(![X10]:(~shortest_path(X8,X9,X10)|((path(X8,X9,X10)&X8!=X9)&(![X11]:(~path(X8,X9,X11)|less_or_equal(length_of(X10),length_of(X11)))))))))&(![X12]:(![X13]:(![X14]:(((~path(X12,X13,X14)|X12=X13)|(?[X15]:(path(X12,X13,X15)&~less_or_equal(length_of(X14),length_of(X15)))))|shortest_path(X12,X13,X14)))))),inference(variable_rename,status(thm),[c21])).
% 0.39/0.62 fof(c24,axiom,(![X8]:(![X9]:(![X10]:(![X11]:(![X12]:(![X13]:(![X14]:((~shortest_path(X8,X9,X10)|((path(X8,X9,X10)&X8!=X9)&(~path(X8,X9,X11)|less_or_equal(length_of(X10),length_of(X11)))))&(((~path(X12,X13,X14)|X12=X13)|(path(X12,X13,skolem0001(X12,X13,X14))&~less_or_equal(length_of(X14),length_of(skolem0001(X12,X13,X14)))))|shortest_path(X12,X13,X14)))))))))),inference(shift_quantors,status(thm),[fof(c23,axiom,((![X8]:(![X9]:(![X10]:(~shortest_path(X8,X9,X10)|((path(X8,X9,X10)&X8!=X9)&(![X11]:(~path(X8,X9,X11)|less_or_equal(length_of(X10),length_of(X11)))))))))&(![X12]:(![X13]:(![X14]:(((~path(X12,X13,X14)|X12=X13)|(path(X12,X13,skolem0001(X12,X13,X14))&~less_or_equal(length_of(X14),length_of(skolem0001(X12,X13,X14)))))|shortest_path(X12,X13,X14)))))),inference(skolemize,status(esa),[c22])).])).
% 0.46/0.62 fof(c25,axiom,(![X8]:(![X9]:(![X10]:(![X11]:(![X12]:(![X13]:(![X14]:((((~shortest_path(X8,X9,X10)|path(X8,X9,X10))&(~shortest_path(X8,X9,X10)|X8!=X9))&(~shortest_path(X8,X9,X10)|(~path(X8,X9,X11)|less_or_equal(length_of(X10),length_of(X11)))))&((((~path(X12,X13,X14)|X12=X13)|path(X12,X13,skolem0001(X12,X13,X14)))|shortest_path(X12,X13,X14))&(((~path(X12,X13,X14)|X12=X13)|~less_or_equal(length_of(X14),length_of(skolem0001(X12,X13,X14))))|shortest_path(X12,X13,X14))))))))))),inference(distribute,status(thm),[c24])).
% 0.46/0.62 cnf(c30,axiom,~path(X238,X239,X237)|X238=X239|~less_or_equal(length_of(X237),length_of(skolem0001(X238,X239,X237)))|shortest_path(X238,X239,X237),inference(split_conjunct,status(thm),[c25])).
% 0.46/0.62 fof(precedes_properties,axiom,(![P]:(![V1]:(![V2]:(path(V1,V2,P)=>(![E1]:(![E2]:(precedes(E1,E2,P)=>((on_path(E1,P)&on_path(E2,P))&(sequential(E1,E2)<~>(?[E3]:(sequential(E1,E3)&precedes(E3,E2,P)))))))))))),input).
% 0.46/0.62 fof(c31,axiom,(![P]:(![V1]:(![V2]:(path(V1,V2,P)=>(![E1]:(![E2]:(precedes(E1,E2,P)=>((on_path(E1,P)&on_path(E2,P))&(~(sequential(E1,E2)<=>(?[E3]:(sequential(E1,E3)&precedes(E3,E2,P))))))))))))),inference(fof_simplification,status(thm),[precedes_properties])).
% 0.46/0.62 fof(c32,axiom,(![P]:(![V1]:(![V2]:(~path(V1,V2,P)|(![E1]:(![E2]:(~precedes(E1,E2,P)|((on_path(E1,P)&on_path(E2,P))&((~sequential(E1,E2)|(![E3]:(~sequential(E1,E3)|~precedes(E3,E2,P))))&(sequential(E1,E2)|(?[E3]:(sequential(E1,E3)&precedes(E3,E2,P))))))))))))),inference(fof_nnf,status(thm),[c31])).
% 0.46/0.62 fof(c33,axiom,(![P]:((![V1]:(![V2]:~path(V1,V2,P)))|(![E1]:(![E2]:(~precedes(E1,E2,P)|((on_path(E1,P)&on_path(E2,P))&((~sequential(E1,E2)|(![E3]:(~sequential(E1,E3)|~precedes(E3,E2,P))))&(sequential(E1,E2)|(?[E3]:(sequential(E1,E3)&precedes(E3,E2,P))))))))))),inference(shift_quantors,status(thm),[c32])).
% 0.46/0.62 fof(c34,axiom,(![X16]:((![X17]:(![X18]:~path(X17,X18,X16)))|(![X19]:(![X20]:(~precedes(X19,X20,X16)|((on_path(X19,X16)&on_path(X20,X16))&((~sequential(X19,X20)|(![X21]:(~sequential(X19,X21)|~precedes(X21,X20,X16))))&(sequential(X19,X20)|(?[X22]:(sequential(X19,X22)&precedes(X22,X20,X16))))))))))),inference(variable_rename,status(thm),[c33])).
% 0.46/0.62 fof(c36,axiom,(![X16]:(![X17]:(![X18]:(![X19]:(![X20]:(![X21]:(~path(X17,X18,X16)|(~precedes(X19,X20,X16)|((on_path(X19,X16)&on_path(X20,X16))&((~sequential(X19,X20)|(~sequential(X19,X21)|~precedes(X21,X20,X16)))&(sequential(X19,X20)|(sequential(X19,skolem0002(X16,X19,X20))&precedes(skolem0002(X16,X19,X20),X20,X16))))))))))))),inference(shift_quantors,status(thm),[fof(c35,axiom,(![X16]:((![X17]:(![X18]:~path(X17,X18,X16)))|(![X19]:(![X20]:(~precedes(X19,X20,X16)|((on_path(X19,X16)&on_path(X20,X16))&((~sequential(X19,X20)|(![X21]:(~sequential(X19,X21)|~precedes(X21,X20,X16))))&(sequential(X19,X20)|(sequential(X19,skolem0002(X16,X19,X20))&precedes(skolem0002(X16,X19,X20),X20,X16)))))))))),inference(skolemize,status(esa),[c34])).])).
% 0.46/0.62 fof(c37,axiom,(![X16]:(![X17]:(![X18]:(![X19]:(![X20]:(![X21]:(((~path(X17,X18,X16)|(~precedes(X19,X20,X16)|on_path(X19,X16)))&(~path(X17,X18,X16)|(~precedes(X19,X20,X16)|on_path(X20,X16))))&((~path(X17,X18,X16)|(~precedes(X19,X20,X16)|(~sequential(X19,X20)|(~sequential(X19,X21)|~precedes(X21,X20,X16)))))&((~path(X17,X18,X16)|(~precedes(X19,X20,X16)|(sequential(X19,X20)|sequential(X19,skolem0002(X16,X19,X20)))))&(~path(X17,X18,X16)|(~precedes(X19,X20,X16)|(sequential(X19,X20)|precedes(skolem0002(X16,X19,X20),X20,X16))))))))))))),inference(distribute,status(thm),[c36])).
% 0.46/0.63 cnf(c42,axiom,~path(X235,X232,X236)|~precedes(X233,X234,X236)|sequential(X233,X234)|precedes(skolem0002(X236,X233,X234),X234,X236),inference(split_conjunct,status(thm),[c37])).
% 0.46/0.63 cnf(c40,axiom,~path(X229,X226,X231)|~precedes(X227,X228,X231)|~sequential(X227,X228)|~sequential(X227,X230)|~precedes(X230,X228,X231),inference(split_conjunct,status(thm),[c37])).
% 0.46/0.63 fof(shortest_path_properties,axiom,(![V1]:(![V2]:(![E1]:(![E2]:(![P]:((shortest_path(V1,V2,P)&precedes(E1,E2,P))=>((~(?[E3]:(tail_of(E3)=tail_of(E1)&head_of(E3)=head_of(E2))))&(~precedes(E2,E1,P))))))))),input).
% 0.46/0.63 fof(c13,axiom,(![V1]:(![V2]:(![E1]:(![E2]:(![P]:((shortest_path(V1,V2,P)&precedes(E1,E2,P))=>((~(?[E3]:(tail_of(E3)=tail_of(E1)&head_of(E3)=head_of(E2))))&~precedes(E2,E1,P)))))))),inference(fof_simplification,status(thm),[shortest_path_properties])).
% 0.46/0.63 fof(c14,axiom,(![V1]:(![V2]:(![E1]:(![E2]:(![P]:((~shortest_path(V1,V2,P)|~precedes(E1,E2,P))|((![E3]:(tail_of(E3)!=tail_of(E1)|head_of(E3)!=head_of(E2)))&~precedes(E2,E1,P)))))))),inference(fof_nnf,status(thm),[c13])).
% 0.46/0.63 fof(c16,axiom,(![X2]:(![X3]:(![X4]:(![X5]:(![X6]:(![X7]:((~shortest_path(X2,X3,X6)|~precedes(X4,X5,X6))|((tail_of(X7)!=tail_of(X4)|head_of(X7)!=head_of(X5))&~precedes(X5,X4,X6))))))))),inference(shift_quantors,status(thm),[fof(c15,axiom,(![X2]:(![X3]:(![X4]:(![X5]:(![X6]:((~shortest_path(X2,X3,X6)|~precedes(X4,X5,X6))|((![X7]:(tail_of(X7)!=tail_of(X4)|head_of(X7)!=head_of(X5)))&~precedes(X5,X4,X6)))))))),inference(variable_rename,status(thm),[c14])).])).
% 0.46/0.63 fof(c17,axiom,(![X2]:(![X3]:(![X4]:(![X5]:(![X6]:(![X7]:(((~shortest_path(X2,X3,X6)|~precedes(X4,X5,X6))|(tail_of(X7)!=tail_of(X4)|head_of(X7)!=head_of(X5)))&((~shortest_path(X2,X3,X6)|~precedes(X4,X5,X6))|~precedes(X5,X4,X6))))))))),inference(distribute,status(thm),[c16])).
% 0.46/0.63 cnf(c18,axiom,~shortest_path(X214,X215,X212)|~precedes(X213,X216,X212)|tail_of(X211)!=tail_of(X213)|head_of(X211)!=head_of(X216),inference(split_conjunct,status(thm),[c17])).
% 0.46/0.63 cnf(c126,plain,~shortest_path(X218,X219,X221)|~precedes(X217,X220,X221)|tail_of(X220)!=tail_of(X217),inference(resolution,status(thm),[c18, reflexivity])).
% 0.46/0.63 cnf(c127,plain,~shortest_path(X223,X222,X224)|~precedes(X225,X225,X224),inference(resolution,status(thm),[c126, reflexivity])).
% 0.46/0.63 cnf(c29,axiom,~path(X209,X210,X208)|X209=X210|path(X209,X210,skolem0001(X209,X210,X208))|shortest_path(X209,X210,X208),inference(split_conjunct,status(thm),[c25])).
% 0.46/0.63 fof(sequential_defn,axiom,(![E1]:(![E2]:(sequential(E1,E2)<=>(((edge(E1)&edge(E2))&E1!=E2)&head_of(E1)=tail_of(E2))))),input).
% 0.46/0.63 fof(c51,axiom,(![E1]:(![E2]:((~sequential(E1,E2)|(((edge(E1)&edge(E2))&E1!=E2)&head_of(E1)=tail_of(E2)))&((((~edge(E1)|~edge(E2))|E1=E2)|head_of(E1)!=tail_of(E2))|sequential(E1,E2))))),inference(fof_nnf,status(thm),[sequential_defn])).
% 0.46/0.63 fof(c52,axiom,((![E1]:(![E2]:(~sequential(E1,E2)|(((edge(E1)&edge(E2))&E1!=E2)&head_of(E1)=tail_of(E2)))))&(![E1]:(![E2]:((((~edge(E1)|~edge(E2))|E1=E2)|head_of(E1)!=tail_of(E2))|sequential(E1,E2))))),inference(shift_quantors,status(thm),[c51])).
% 0.46/0.63 fof(c54,axiom,(![X29]:(![X30]:(![X31]:(![X32]:((~sequential(X29,X30)|(((edge(X29)&edge(X30))&X29!=X30)&head_of(X29)=tail_of(X30)))&((((~edge(X31)|~edge(X32))|X31=X32)|head_of(X31)!=tail_of(X32))|sequential(X31,X32))))))),inference(shift_quantors,status(thm),[fof(c53,axiom,((![X29]:(![X30]:(~sequential(X29,X30)|(((edge(X29)&edge(X30))&X29!=X30)&head_of(X29)=tail_of(X30)))))&(![X31]:(![X32]:((((~edge(X31)|~edge(X32))|X31=X32)|head_of(X31)!=tail_of(X32))|sequential(X31,X32))))),inference(variable_rename,status(thm),[c52])).])).
% 0.46/0.63 fof(c55,axiom,(![X29]:(![X30]:(![X31]:(![X32]:(((((~sequential(X29,X30)|edge(X29))&(~sequential(X29,X30)|edge(X30)))&(~sequential(X29,X30)|X29!=X30))&(~sequential(X29,X30)|head_of(X29)=tail_of(X30)))&((((~edge(X31)|~edge(X32))|X31=X32)|head_of(X31)!=tail_of(X32))|sequential(X31,X32))))))),inference(distribute,status(thm),[c54])).
% 0.46/0.63 cnf(c60,axiom,~edge(X207)|~edge(X206)|X207=X206|head_of(X207)!=tail_of(X206)|sequential(X207,X206),inference(split_conjunct,status(thm),[c55])).
% 0.46/0.63 cnf(c49,axiom,~path(X204,X205,X201)|~on_path(X203,X201)|~on_path(X202,X201)|~sequential(X203,X202)|precedes(X203,X202,X201),inference(split_conjunct,status(thm),[c48])).
% 0.46/0.63 cnf(c41,axiom,~path(X199,X196,X200)|~precedes(X197,X198,X200)|sequential(X197,X198)|sequential(X197,skolem0002(X200,X197,X198)),inference(split_conjunct,status(thm),[c37])).
% 0.46/0.63 cnf(c11,plain,X191!=X194|X193!=X192|X195!=X190|~shortest_path(X191,X193,X195)|shortest_path(X194,X192,X190),eq_axiom).
% 0.46/0.63 cnf(c10,plain,X185!=X188|X187!=X186|X189!=X184|~precedes(X185,X187,X189)|precedes(X188,X186,X184),eq_axiom).
% 0.46/0.63 cnf(c102,axiom,~complete|~vertex(X183)|~vertex(X182)|X183=X182|edge(skolem0006(X183,X182)),inference(split_conjunct,status(thm),[c101])).
% 0.46/0.63 cnf(c66,axiom,~path(X178,X180,X179)|~in_path(X181,X179)|on_path(skolem0003(X178,X180,X179,X181),X179),inference(split_conjunct,status(thm),[c64])).
% 0.46/0.63 cnf(c28,axiom,~shortest_path(X174,X176,X175)|~path(X174,X176,X177)|less_or_equal(length_of(X175),length_of(X177)),inference(split_conjunct,status(thm),[c25])).
% 0.46/0.63 cnf(c12,plain,X170!=X173|X171!=X172|~less_or_equal(X170,X171)|less_or_equal(X173,X172),eq_axiom).
% 0.46/0.63 cnf(c9,plain,X166!=X169|X167!=X168|~sequential(X166,X167)|sequential(X169,X168),eq_axiom).
% 0.46/0.63 cnf(c8,plain,X162!=X165|X163!=X164|~in_path(X162,X163)|in_path(X165,X164),eq_axiom).
% 0.46/0.63 cnf(c83,axiom,~path(X159,X160,X161)|X159=tail_of(skolem0004(X159,X160,X161)),inference(split_conjunct,status(thm),[c79])).
% 0.46/0.63 fof(on_path_properties,axiom,(![V1]:(![V2]:(![P]:(![E]:((path(V1,V2,P)&on_path(E,P))=>((edge(E)&in_path(head_of(E),P))&in_path(tail_of(E),P))))))),input).
% 0.46/0.63 fof(c68,axiom,(![V1]:(![V2]:(![P]:(![E]:((~path(V1,V2,P)|~on_path(E,P))|((edge(E)&in_path(head_of(E),P))&in_path(tail_of(E),P))))))),inference(fof_nnf,status(thm),[on_path_properties])).
% 0.46/0.63 fof(c69,axiom,(![X38]:(![X39]:(![X40]:(![X41]:((~path(X38,X39,X40)|~on_path(X41,X40))|((edge(X41)&in_path(head_of(X41),X40))&in_path(tail_of(X41),X40))))))),inference(variable_rename,status(thm),[c68])).
% 0.46/0.63 fof(c70,axiom,(![X38]:(![X39]:(![X40]:(![X41]:((((~path(X38,X39,X40)|~on_path(X41,X40))|edge(X41))&((~path(X38,X39,X40)|~on_path(X41,X40))|in_path(head_of(X41),X40)))&((~path(X38,X39,X40)|~on_path(X41,X40))|in_path(tail_of(X41),X40))))))),inference(distribute,status(thm),[c69])).
% 0.46/0.63 cnf(c73,axiom,~path(X157,X155,X158)|~on_path(X156,X158)|in_path(tail_of(X156),X158),inference(split_conjunct,status(thm),[c70])).
% 0.46/0.63 cnf(c72,axiom,~path(X153,X151,X154)|~on_path(X152,X154)|in_path(head_of(X152),X154),inference(split_conjunct,status(thm),[c70])).
% 0.46/0.63 cnf(c19,axiom,~shortest_path(X148,X149,X146)|~precedes(X147,X150,X146)|~precedes(X150,X147,X146),inference(split_conjunct,status(thm),[c17])).
% 0.46/0.63 cnf(c7,plain,X140!=X143|X141!=X142|~on_path(X140,X141)|on_path(X143,X142),eq_axiom).
% 0.46/0.63 cnf(c2,plain,X100!=X103|X101!=X102|path_cons(X100,X101)=path_cons(X103,X102),eq_axiom).
% 0.46/0.63 cnf(c123,plain,X138!=X137|path_cons(X138,X139)=path_cons(X137,X139),inference(resolution,status(thm),[c2, reflexivity])).
% 0.46/0.63 cnf(c39,axiom,~path(X135,X132,X136)|~precedes(X133,X134,X136)|on_path(X134,X136),inference(split_conjunct,status(thm),[c37])).
% 0.46/0.63 cnf(c38,axiom,~path(X130,X127,X131)|~precedes(X128,X129,X131)|on_path(X128,X131),inference(split_conjunct,status(thm),[c37])).
% 0.46/0.63 cnf(c82,axiom,~path(X124,X125,X126)|edge(skolem0004(X124,X125,X126)),inference(split_conjunct,status(thm),[c79])).
% 0.46/0.63 cnf(c71,axiom,~path(X122,X120,X123)|~on_path(X121,X123)|edge(X121),inference(split_conjunct,status(thm),[c70])).
% 0.46/0.63 cnf(c6,plain,X115!=X118|X117!=X116|X119!=X114|~path(X115,X117,X119)|path(X118,X116,X114),eq_axiom).
% 0.46/0.63 cnf(c65,axiom,~path(X110,X112,X111)|~in_path(X113,X111)|vertex(X113),inference(split_conjunct,status(thm),[c64])).
% 0.46/0.63 cnf(c59,axiom,~sequential(X109,X108)|head_of(X109)=tail_of(X108),inference(split_conjunct,status(thm),[c55])).
% 0.46/0.63 cnf(c3,plain,X105!=X106|length_of(X105)=length_of(X106),eq_axiom).
% 0.46/0.63 fof(no_loops,axiom,(![E]:(edge(E)=>head_of(E)!=tail_of(E))),input).
% 0.46/0.63 fof(c113,axiom,(![E]:(~edge(E)|head_of(E)!=tail_of(E))),inference(fof_nnf,status(thm),[no_loops])).
% 0.46/0.63 fof(c114,axiom,(![X57]:(~edge(X57)|head_of(X57)!=tail_of(X57))),inference(variable_rename,status(thm),[c113])).
% 0.46/0.63 cnf(c115,axiom,~edge(X104)|head_of(X104)!=tail_of(X104),inference(split_conjunct,status(thm),[c114])).
% 0.46/0.63 cnf(c26,axiom,~shortest_path(X97,X99,X98)|path(X97,X99,X98),inference(split_conjunct,status(thm),[c25])).
% 0.46/0.63 cnf(c5,plain,X94!=X95|~vertex(X94)|vertex(X95),eq_axiom).
% 0.46/0.63 cnf(c1,plain,X90!=X91|tail_of(X90)=tail_of(X91),eq_axiom).
% 0.46/0.63 cnf(c4,plain,X88!=X89|~edge(X88)|edge(X89),eq_axiom).
% 0.46/0.63 cnf(c27,axiom,~shortest_path(X85,X87,X86)|X85!=X87,inference(split_conjunct,status(thm),[c25])).
% 0.46/0.63 fof(edge_ends_are_vertices,axiom,(![E]:(edge(E)=>(vertex(head_of(E))&vertex(tail_of(E))))),input).
% 0.46/0.63 fof(c108,axiom,(![E]:(~edge(E)|(vertex(head_of(E))&vertex(tail_of(E))))),inference(fof_nnf,status(thm),[edge_ends_are_vertices])).
% 0.46/0.63 fof(c109,axiom,(![X56]:(~edge(X56)|(vertex(head_of(X56))&vertex(tail_of(X56))))),inference(variable_rename,status(thm),[c108])).
% 0.46/0.63 fof(c110,axiom,(![X56]:((~edge(X56)|vertex(head_of(X56)))&(~edge(X56)|vertex(tail_of(X56))))),inference(distribute,status(thm),[c109])).
% 0.46/0.63 cnf(c112,axiom,~edge(X81)|vertex(tail_of(X81)),inference(split_conjunct,status(thm),[c110])).
% 0.46/0.63 cnf(c0,plain,X79!=X80|head_of(X79)=head_of(X80),eq_axiom).
% 0.46/0.63 cnf(c111,axiom,~edge(X78)|vertex(head_of(X78)),inference(split_conjunct,status(thm),[c110])).
% 0.46/0.63 cnf(c81,axiom,~path(X75,X76,X77)|vertex(X76),inference(split_conjunct,status(thm),[c79])).
% 0.46/0.63 cnf(c80,axiom,~path(X72,X73,X74)|vertex(X72),inference(split_conjunct,status(thm),[c79])).
% 0.46/0.63 cnf(c58,axiom,~sequential(X70,X69)|X70!=X69,inference(split_conjunct,status(thm),[c55])).
% 0.46/0.63 cnf(c118,plain,~sequential(X71,X71),inference(resolution,status(thm),[c58, reflexivity])).
% 0.46/0.63 cnf(transitivity,axiom,X66!=X68|X68!=X67|X66=X67,eq_axiom).
% 0.46/0.63 cnf(symmetry,axiom,X63!=X64|X64=X63,eq_axiom).
% 0.46/0.63 cnf(c57,axiom,~sequential(X62,X61)|edge(X61),inference(split_conjunct,status(thm),[c55])).
% 0.46/0.63 cnf(c56,axiom,~sequential(X60,X59)|edge(X60),inference(split_conjunct,status(thm),[c55])).
% 0.46/0.63 # SZS output end Saturation
% 0.46/0.63
% 0.46/0.63 # Initial clauses : 61
% 0.46/0.63 # Processed clauses : 69
% 0.46/0.63 # Factors computed : 0
% 0.46/0.63 # Resolvents computed: 16
% 0.46/0.63 # Tautologies deleted: 3
% 0.46/0.63 # Forward subsumed : 5
% 0.46/0.63 # Backward subsumed : 0
% 0.46/0.63 # -------- CPU Time ---------
% 0.46/0.63 # User time : 0.277 s
% 0.46/0.63 # System time : 0.015 s
% 0.46/0.63 # Total time : 0.292 s
%------------------------------------------------------------------------------