TSTP Solution File: SWC257+1 by PyRes---1.3
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- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.3
% Problem : SWC257+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n022.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 : Tue Jul 19 21:48:38 EDT 2022
% Result : Theorem 12.61s 12.80s
% Output : Refutation 12.61s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : SWC257+1 : TPTP v8.1.0. Released v2.4.0.
% 0.03/0.13 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.35 % Computer : n022.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Sun Jun 12 08:47:33 EDT 2022
% 0.13/0.35 % CPUTime :
% 12.61/12.80 # Version: 1.3
% 12.61/12.80 # SZS status Theorem
% 12.61/12.80 # SZS output start CNFRefutation
% 12.61/12.80 fof(co1,conjecture,(![U]:(ssList(U)=>(![V]:(ssList(V)=>(![W]:(ssList(W)=>(![X]:(((((~ssList(X))|V!=X)|U!=W)|totalorderedP(U))|((![Y]:((((~ssItem(Y))|cons(Y,nil)!=W)|(~memberP(X,Y)))|(?[Z]:(((ssItem(Z)&Y!=Z)&memberP(X,Z))&leq(Y,Z)))))&(nil!=X|nil!=W)))))))))),input).
% 12.61/12.80 fof(c23,negated_conjecture,(~(![U]:(ssList(U)=>(![V]:(ssList(V)=>(![W]:(ssList(W)=>(![X]:(((((~ssList(X))|V!=X)|U!=W)|totalorderedP(U))|((![Y]:((((~ssItem(Y))|cons(Y,nil)!=W)|(~memberP(X,Y)))|(?[Z]:(((ssItem(Z)&Y!=Z)&memberP(X,Z))&leq(Y,Z)))))&(nil!=X|nil!=W))))))))))),inference(assume_negation,status(cth),[co1])).
% 12.61/12.80 fof(c24,negated_conjecture,(~(![U]:(ssList(U)=>(![V]:(ssList(V)=>(![W]:(ssList(W)=>(![X]:((((~ssList(X)|V!=X)|U!=W)|totalorderedP(U))|((![Y]:(((~ssItem(Y)|cons(Y,nil)!=W)|~memberP(X,Y))|(?[Z]:(((ssItem(Z)&Y!=Z)&memberP(X,Z))&leq(Y,Z)))))&(nil!=X|nil!=W))))))))))),inference(fof_simplification,status(thm),[c23])).
% 12.61/12.80 fof(c25,negated_conjecture,(?[U]:(ssList(U)&(?[V]:(ssList(V)&(?[W]:(ssList(W)&(?[X]:((((ssList(X)&V=X)&U=W)&~totalorderedP(U))&((?[Y]:(((ssItem(Y)&cons(Y,nil)=W)&memberP(X,Y))&(![Z]:(((~ssItem(Z)|Y=Z)|~memberP(X,Z))|~leq(Y,Z)))))|(nil=X&nil=W)))))))))),inference(fof_nnf,status(thm),[c24])).
% 12.61/12.80 fof(c26,negated_conjecture,(?[X2]:(ssList(X2)&(?[X3]:(ssList(X3)&(?[X4]:(ssList(X4)&(?[X5]:((((ssList(X5)&X3=X5)&X2=X4)&~totalorderedP(X2))&((?[X6]:(((ssItem(X6)&cons(X6,nil)=X4)&memberP(X5,X6))&(![X7]:(((~ssItem(X7)|X6=X7)|~memberP(X5,X7))|~leq(X6,X7)))))|(nil=X5&nil=X4)))))))))),inference(variable_rename,status(thm),[c25])).
% 12.61/12.80 fof(c28,negated_conjecture,(![X7]:(ssList(skolem0001)&(ssList(skolem0002)&(ssList(skolem0003)&((((ssList(skolem0004)&skolem0002=skolem0004)&skolem0001=skolem0003)&~totalorderedP(skolem0001))&((((ssItem(skolem0005)&cons(skolem0005,nil)=skolem0003)&memberP(skolem0004,skolem0005))&(((~ssItem(X7)|skolem0005=X7)|~memberP(skolem0004,X7))|~leq(skolem0005,X7)))|(nil=skolem0004&nil=skolem0003))))))),inference(shift_quantors,status(thm),[fof(c27,negated_conjecture,(ssList(skolem0001)&(ssList(skolem0002)&(ssList(skolem0003)&((((ssList(skolem0004)&skolem0002=skolem0004)&skolem0001=skolem0003)&~totalorderedP(skolem0001))&((((ssItem(skolem0005)&cons(skolem0005,nil)=skolem0003)&memberP(skolem0004,skolem0005))&(![X7]:(((~ssItem(X7)|skolem0005=X7)|~memberP(skolem0004,X7))|~leq(skolem0005,X7))))|(nil=skolem0004&nil=skolem0003)))))),inference(skolemize,status(esa),[c26])).])).
% 12.61/12.80 fof(c29,negated_conjecture,(![X7]:(ssList(skolem0001)&(ssList(skolem0002)&(ssList(skolem0003)&((((ssList(skolem0004)&skolem0002=skolem0004)&skolem0001=skolem0003)&~totalorderedP(skolem0001))&(((((ssItem(skolem0005)|nil=skolem0004)&(ssItem(skolem0005)|nil=skolem0003))&((cons(skolem0005,nil)=skolem0003|nil=skolem0004)&(cons(skolem0005,nil)=skolem0003|nil=skolem0003)))&((memberP(skolem0004,skolem0005)|nil=skolem0004)&(memberP(skolem0004,skolem0005)|nil=skolem0003)))&(((((~ssItem(X7)|skolem0005=X7)|~memberP(skolem0004,X7))|~leq(skolem0005,X7))|nil=skolem0004)&((((~ssItem(X7)|skolem0005=X7)|~memberP(skolem0004,X7))|~leq(skolem0005,X7))|nil=skolem0003)))))))),inference(distribute,status(thm),[c28])).
% 12.61/12.80 cnf(c36,negated_conjecture,~totalorderedP(skolem0001),inference(split_conjunct,status(thm),[c29])).
% 12.61/12.80 cnf(symmetry,axiom,X254!=X253|X253=X254,eq_axiom).
% 12.61/12.80 cnf(c35,negated_conjecture,skolem0001=skolem0003,inference(split_conjunct,status(thm),[c29])).
% 12.61/12.80 cnf(c521,plain,skolem0003=skolem0001,inference(resolution,status(thm),[c35, symmetry])).
% 12.61/12.80 cnf(c17,plain,X332!=X331|~totalorderedP(X332)|totalorderedP(X331),eq_axiom).
% 12.61/12.80 cnf(c637,plain,~totalorderedP(skolem0003)|totalorderedP(skolem0001),inference(resolution,status(thm),[c17, c521])).
% 12.61/12.80 fof(ax66,axiom,totalorderedP(nil),input).
% 12.61/12.80 cnf(c167,axiom,totalorderedP(nil),inference(split_conjunct,status(thm),[ax66])).
% 12.61/12.80 fof(ax65,axiom,(![U]:(ssItem(U)=>totalorderedP(cons(U,nil)))),input).
% 12.61/12.80 fof(c168,axiom,(![U]:(~ssItem(U)|totalorderedP(cons(U,nil)))),inference(fof_nnf,status(thm),[ax65])).
% 12.61/12.80 fof(c169,axiom,(![X59]:(~ssItem(X59)|totalorderedP(cons(X59,nil)))),inference(variable_rename,status(thm),[c168])).
% 12.61/12.80 cnf(c170,axiom,~ssItem(X354)|totalorderedP(cons(X354,nil)),inference(split_conjunct,status(thm),[c169])).
% 12.61/12.80 cnf(c38,negated_conjecture,ssItem(skolem0005)|nil=skolem0003,inference(split_conjunct,status(thm),[c29])).
% 12.61/12.80 cnf(c690,plain,ssItem(skolem0005)|~totalorderedP(nil)|totalorderedP(skolem0003),inference(resolution,status(thm),[c38, c17])).
% 12.61/12.80 cnf(c25905,plain,ssItem(skolem0005)|totalorderedP(skolem0003),inference(resolution,status(thm),[c690, c167])).
% 12.61/12.80 cnf(c25921,plain,ssItem(skolem0005)|totalorderedP(skolem0001),inference(resolution,status(thm),[c25905, c637])).
% 12.61/12.80 cnf(c25937,plain,ssItem(skolem0005),inference(resolution,status(thm),[c25921, c36])).
% 12.61/12.80 cnf(c25938,plain,totalorderedP(cons(skolem0005,nil)),inference(resolution,status(thm),[c25937, c170])).
% 12.61/12.80 cnf(c40,negated_conjecture,cons(skolem0005,nil)=skolem0003|nil=skolem0003,inference(split_conjunct,status(thm),[c29])).
% 12.61/12.80 cnf(c754,plain,nil=skolem0003|~totalorderedP(cons(skolem0005,nil))|totalorderedP(skolem0003),inference(resolution,status(thm),[c40, c17])).
% 12.61/12.80 cnf(c29848,plain,nil=skolem0003|totalorderedP(skolem0003),inference(resolution,status(thm),[c754, c25938])).
% 12.61/12.80 cnf(c31785,plain,totalorderedP(skolem0003)|~totalorderedP(nil),inference(resolution,status(thm),[c29848, c17])).
% 12.61/12.80 cnf(c31804,plain,totalorderedP(skolem0003),inference(resolution,status(thm),[c31785, c167])).
% 12.61/12.80 cnf(c31805,plain,totalorderedP(skolem0001),inference(resolution,status(thm),[c31804, c637])).
% 12.61/12.80 cnf(c31806,plain,$false,inference(resolution,status(thm),[c31805, c36])).
% 12.61/12.80 # SZS output end CNFRefutation
% 12.61/12.80
% 12.61/12.80 # Initial clauses : 231
% 12.61/12.80 # Processed clauses : 1340
% 12.61/12.80 # Factors computed : 0
% 12.61/12.80 # Resolvents computed: 31293
% 12.61/12.80 # Tautologies deleted: 13
% 12.61/12.80 # Forward subsumed : 825
% 12.61/12.80 # Backward subsumed : 403
% 12.61/12.80 # -------- CPU Time ---------
% 12.61/12.80 # User time : 12.356 s
% 12.61/12.80 # System time : 0.069 s
% 12.61/12.80 # Total time : 12.425 s
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