TSTP Solution File: SWC258+1 by PyRes---1.3
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- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.3
% Problem : SWC258+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n020.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 21:48:39 EDT 2022
% Result : Theorem 18.41s 18.62s
% Output : Refutation 18.41s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SWC258+1 : TPTP v8.1.0. Released v2.4.0.
% 0.07/0.14 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.15/0.35 % Computer : n020.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 600
% 0.15/0.35 % DateTime : Sun Jun 12 10:59:50 EDT 2022
% 0.15/0.35 % CPUTime :
% 18.41/18.62 # Version: 1.3
% 18.41/18.62 # SZS status Theorem
% 18.41/18.62 # SZS output start CNFRefutation
% 18.41/18.62 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(Z,Y))))))&(nil!=X|nil!=W))))))))))),input).
% 18.41/18.62 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(Z,Y))))))&(nil!=X|nil!=W)))))))))))),inference(assume_negation,status(cth),[co1])).
% 18.41/18.62 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(Z,Y))))))&(nil!=X|nil!=W)))))))))))),inference(fof_simplification,status(thm),[c23])).
% 18.41/18.62 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(Z,Y))))))|(nil=X&nil=W))))))))))),inference(fof_nnf,status(thm),[c24])).
% 18.41/18.62 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(X7,X6))))))|(nil=X5&nil=X4))))))))))),inference(variable_rename,status(thm),[c25])).
% 18.41/18.62 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(X7,skolem0005))))|(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(X7,skolem0005)))))|(nil=skolem0004&nil=skolem0003))))))),inference(skolemize,status(esa),[c26])).])).
% 18.41/18.62 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(X7,skolem0005))|nil=skolem0004)&((((~ssItem(X7)|skolem0005=X7)|~memberP(skolem0004,X7))|~leq(X7,skolem0005))|nil=skolem0003)))))))))),inference(distribute,status(thm),[c28])).
% 18.41/18.62 cnf(c36,negated_conjecture,~totalorderedP(skolem0001),inference(split_conjunct,status(thm),[c29])).
% 18.41/18.62 cnf(symmetry,axiom,X253!=X254|X254=X253,eq_axiom).
% 18.41/18.62 cnf(c35,negated_conjecture,skolem0001=skolem0003,inference(split_conjunct,status(thm),[c29])).
% 18.41/18.62 cnf(c522,plain,skolem0003=skolem0001,inference(resolution,status(thm),[c35, symmetry])).
% 18.41/18.62 cnf(c17,plain,X331!=X332|~totalorderedP(X331)|totalorderedP(X332),eq_axiom).
% 18.41/18.62 cnf(c641,plain,~totalorderedP(skolem0003)|totalorderedP(skolem0001),inference(resolution,status(thm),[c17, c522])).
% 18.41/18.62 fof(ax66,axiom,totalorderedP(nil),input).
% 18.41/18.62 cnf(c167,axiom,totalorderedP(nil),inference(split_conjunct,status(thm),[ax66])).
% 18.41/18.62 fof(ax65,axiom,(![U]:(ssItem(U)=>totalorderedP(cons(U,nil)))),input).
% 18.41/18.62 fof(c168,axiom,(![U]:(~ssItem(U)|totalorderedP(cons(U,nil)))),inference(fof_nnf,status(thm),[ax65])).
% 18.41/18.62 fof(c169,axiom,(![X59]:(~ssItem(X59)|totalorderedP(cons(X59,nil)))),inference(variable_rename,status(thm),[c168])).
% 18.41/18.62 cnf(c170,axiom,~ssItem(X354)|totalorderedP(cons(X354,nil)),inference(split_conjunct,status(thm),[c169])).
% 18.41/18.62 cnf(c38,negated_conjecture,ssItem(skolem0005)|nil=skolem0003,inference(split_conjunct,status(thm),[c29])).
% 18.41/18.62 cnf(c690,plain,ssItem(skolem0005)|~totalorderedP(nil)|totalorderedP(skolem0003),inference(resolution,status(thm),[c38, c17])).
% 18.41/18.62 cnf(c25933,plain,ssItem(skolem0005)|totalorderedP(skolem0003),inference(resolution,status(thm),[c690, c167])).
% 18.41/18.62 cnf(c25949,plain,ssItem(skolem0005)|totalorderedP(skolem0001),inference(resolution,status(thm),[c25933, c641])).
% 18.41/18.62 cnf(c25965,plain,ssItem(skolem0005),inference(resolution,status(thm),[c25949, c36])).
% 18.41/18.62 cnf(c25970,plain,totalorderedP(cons(skolem0005,nil)),inference(resolution,status(thm),[c25965, c170])).
% 18.41/18.62 cnf(c40,negated_conjecture,cons(skolem0005,nil)=skolem0003|nil=skolem0003,inference(split_conjunct,status(thm),[c29])).
% 18.41/18.62 cnf(c754,plain,nil=skolem0003|~totalorderedP(cons(skolem0005,nil))|totalorderedP(skolem0003),inference(resolution,status(thm),[c40, c17])).
% 18.41/18.62 cnf(c30194,plain,nil=skolem0003|totalorderedP(skolem0003),inference(resolution,status(thm),[c754, c25970])).
% 18.41/18.62 cnf(c32374,plain,totalorderedP(skolem0003)|~totalorderedP(nil),inference(resolution,status(thm),[c30194, c17])).
% 18.41/18.62 cnf(c32407,plain,totalorderedP(skolem0003),inference(resolution,status(thm),[c32374, c167])).
% 18.41/18.62 cnf(c32408,plain,totalorderedP(skolem0001),inference(resolution,status(thm),[c32407, c641])).
% 18.41/18.62 cnf(c32409,plain,$false,inference(resolution,status(thm),[c32408, c36])).
% 18.41/18.62 # SZS output end CNFRefutation
% 18.41/18.62
% 18.41/18.62 # Initial clauses : 231
% 18.41/18.62 # Processed clauses : 1352
% 18.41/18.62 # Factors computed : 0
% 18.41/18.62 # Resolvents computed: 31896
% 18.41/18.62 # Tautologies deleted: 13
% 18.41/18.62 # Forward subsumed : 852
% 18.41/18.62 # Backward subsumed : 433
% 18.41/18.62 # -------- CPU Time ---------
% 18.41/18.62 # User time : 18.177 s
% 18.41/18.62 # System time : 0.084 s
% 18.41/18.62 # Total time : 18.261 s
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