TSTP Solution File: SWC098-1 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : SWC098-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n008.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 : Tue Apr 30 20:44:30 EDT 2024
% Result : Unsatisfiable 0.15s 0.32s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : SWC098-1 : TPTP v8.1.2. Released v2.4.0.
% 0.00/0.10 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.09/0.30 % Computer : n008.cluster.edu
% 0.09/0.30 % Model : x86_64 x86_64
% 0.09/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.30 % Memory : 8042.1875MB
% 0.09/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.30 % CPULimit : 300
% 0.09/0.30 % WCLimit : 300
% 0.09/0.30 % DateTime : Tue Apr 30 00:14:42 EDT 2024
% 0.09/0.30 % CPUTime :
% 0.15/0.31 % Drodi V3.6.0
% 0.15/0.32 % Refutation found
% 0.15/0.32 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.15/0.32 % SZS output start CNFRefutation for theBenchmark
% 0.15/0.32 fof(f8,axiom,(
% 0.15/0.32 ssList(nil) ),
% 0.15/0.32 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.32 fof(f62,axiom,(
% 0.15/0.32 (![U]: (( ~ ssItem(U)| leq(U,U) ) ))),
% 0.15/0.32 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.32 fof(f98,axiom,(
% 0.15/0.32 (![U,V]: (( cons(U,V) != nil| ~ ssItem(U)| ~ ssList(V) ) ))),
% 0.15/0.32 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.32 fof(f130,axiom,(
% 0.15/0.32 (![U,V]: (( ~ leq(U,V)| ~ leq(V,U)| ~ ssItem(U)| ~ ssItem(V)| V = U ) ))),
% 0.15/0.32 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.32 fof(f156,axiom,(
% 0.15/0.32 (![U,V,W]: (( ~ leq(U,V)| ~ leq(V,W)| ~ ssItem(W)| ~ ssItem(V)| ~ ssItem(U)| leq(U,W) ) ))),
% 0.15/0.32 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.32 fof(f190,negated_conjecture,(
% 0.15/0.32 sk2 = sk4 ),
% 0.15/0.32 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.32 fof(f191,negated_conjecture,(
% 0.15/0.32 sk1 = sk3 ),
% 0.15/0.32 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.32 fof(f192,negated_conjecture,(
% 0.15/0.32 (![A]: (( ~ ssItem(A)| cons(A,nil) != sk1| ssItem(sk5(A))| ~ memberP(sk2,A) ) ))),
% 0.15/0.32 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.32 fof(f193,negated_conjecture,(
% 0.15/0.32 (![A]: (( ~ ssItem(A)| cons(A,nil) != sk1| memberP(sk2,sk5(A))| ~ memberP(sk2,A) ) ))),
% 0.15/0.32 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.32 fof(f194,negated_conjecture,(
% 0.15/0.32 (![A]: (( ~ ssItem(A)| cons(A,nil) != sk1| leq(A,sk5(A))| ~ memberP(sk2,A) ) ))),
% 0.15/0.32 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.32 fof(f195,negated_conjecture,(
% 0.15/0.32 (![A]: (( ~ ssItem(A)| cons(A,nil) != sk1| A != sk5(A)| ~ memberP(sk2,A) ) ))),
% 0.15/0.32 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.32 fof(f196,negated_conjecture,(
% 0.15/0.32 ( nil != sk2| nil != sk1 ) ),
% 0.15/0.32 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.32 fof(f197,negated_conjecture,(
% 0.15/0.32 ( ssItem(sk6)| nil = sk4 ) ),
% 0.15/0.32 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.32 fof(f198,negated_conjecture,(
% 0.15/0.32 ( ssItem(sk6)| nil = sk3 ) ),
% 0.15/0.32 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.32 fof(f199,negated_conjecture,(
% 0.15/0.32 ( cons(sk6,nil) = sk3| nil = sk4 ) ),
% 0.15/0.32 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.32 fof(f202,negated_conjecture,(
% 0.15/0.32 ( cons(sk6,nil) = sk3| nil = sk3 ) ),
% 0.15/0.32 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.32 fof(f203,negated_conjecture,(
% 0.15/0.32 ( memberP(sk4,sk6)| nil = sk3 ) ),
% 0.15/0.32 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.32 fof(f204,negated_conjecture,(
% 0.15/0.32 (![A]: (( ~ ssItem(A)| sk6 = A| ~ memberP(sk4,A)| ~ leq(sk6,A)| nil = sk3 ) ))),
% 0.15/0.32 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.32 fof(f212,plain,(
% 0.15/0.32 ssList(nil)),
% 0.15/0.32 inference(cnf_transformation,[status(esa)],[f8])).
% 0.15/0.32 fof(f266,plain,(
% 0.15/0.32 ![X0]: (~ssItem(X0)|leq(X0,X0))),
% 0.15/0.32 inference(cnf_transformation,[status(esa)],[f62])).
% 0.15/0.32 fof(f303,plain,(
% 0.15/0.32 ![V]: ((![U]: (~cons(U,V)=nil|~ssItem(U)))|~ssList(V))),
% 0.15/0.32 inference(miniscoping,[status(esa)],[f98])).
% 0.15/0.32 fof(f304,plain,(
% 0.15/0.32 ![X0,X1]: (~cons(X0,X1)=nil|~ssItem(X0)|~ssList(X1))),
% 0.15/0.32 inference(cnf_transformation,[status(esa)],[f303])).
% 0.15/0.32 fof(f347,plain,(
% 0.15/0.32 ![X0,X1]: (~leq(X0,X1)|~leq(X1,X0)|~ssItem(X0)|~ssItem(X1)|X1=X0)),
% 0.15/0.32 inference(cnf_transformation,[status(esa)],[f130])).
% 0.15/0.32 fof(f386,plain,(
% 0.15/0.32 ![U,W]: (((![V]: (((~leq(U,V)|~leq(V,W))|~ssItem(W))|~ssItem(V)))|~ssItem(U))|leq(U,W))),
% 0.15/0.32 inference(miniscoping,[status(esa)],[f156])).
% 0.15/0.32 fof(f387,plain,(
% 0.15/0.32 ![X0,X1,X2]: (~leq(X0,X1)|~leq(X1,X2)|~ssItem(X2)|~ssItem(X1)|~ssItem(X0)|leq(X0,X2))),
% 0.15/0.32 inference(cnf_transformation,[status(esa)],[f386])).
% 0.15/0.32 fof(f439,plain,(
% 0.15/0.32 sk2=sk4),
% 0.15/0.32 inference(cnf_transformation,[status(esa)],[f190])).
% 0.15/0.32 fof(f440,plain,(
% 0.15/0.32 sk1=sk3),
% 0.15/0.32 inference(cnf_transformation,[status(esa)],[f191])).
% 0.15/0.32 fof(f441,plain,(
% 0.15/0.32 ![X0]: (~ssItem(X0)|~cons(X0,nil)=sk1|ssItem(sk5(X0))|~memberP(sk2,X0))),
% 0.15/0.32 inference(cnf_transformation,[status(esa)],[f192])).
% 0.15/0.32 fof(f442,plain,(
% 0.15/0.32 ![X0]: (~ssItem(X0)|~cons(X0,nil)=sk1|memberP(sk2,sk5(X0))|~memberP(sk2,X0))),
% 0.15/0.32 inference(cnf_transformation,[status(esa)],[f193])).
% 0.15/0.32 fof(f443,plain,(
% 0.15/0.32 ![X0]: (~ssItem(X0)|~cons(X0,nil)=sk1|leq(X0,sk5(X0))|~memberP(sk2,X0))),
% 0.15/0.32 inference(cnf_transformation,[status(esa)],[f194])).
% 0.15/0.32 fof(f444,plain,(
% 0.15/0.32 ![X0]: (~ssItem(X0)|~cons(X0,nil)=sk1|~X0=sk5(X0)|~memberP(sk2,X0))),
% 0.15/0.32 inference(cnf_transformation,[status(esa)],[f195])).
% 0.15/0.32 fof(f445,plain,(
% 0.15/0.32 ~nil=sk2|~nil=sk1),
% 0.15/0.32 inference(cnf_transformation,[status(esa)],[f196])).
% 0.15/0.32 fof(f446,plain,(
% 0.15/0.32 ssItem(sk6)|nil=sk4),
% 0.15/0.32 inference(cnf_transformation,[status(esa)],[f197])).
% 0.15/0.32 fof(f447,plain,(
% 0.15/0.32 ssItem(sk6)|nil=sk3),
% 0.15/0.32 inference(cnf_transformation,[status(esa)],[f198])).
% 0.15/0.32 fof(f448,plain,(
% 0.15/0.32 cons(sk6,nil)=sk3|nil=sk4),
% 0.15/0.32 inference(cnf_transformation,[status(esa)],[f199])).
% 0.15/0.32 fof(f452,plain,(
% 0.15/0.32 cons(sk6,nil)=sk3|nil=sk3),
% 0.15/0.32 inference(cnf_transformation,[status(esa)],[f202])).
% 0.15/0.32 fof(f453,plain,(
% 0.15/0.32 memberP(sk4,sk6)|nil=sk3),
% 0.15/0.32 inference(cnf_transformation,[status(esa)],[f203])).
% 0.15/0.32 fof(f454,plain,(
% 0.15/0.32 (![A]: (((~ssItem(A)|sk6=A)|~memberP(sk4,A))|~leq(sk6,A)))|nil=sk3),
% 0.15/0.32 inference(miniscoping,[status(esa)],[f204])).
% 0.15/0.32 fof(f455,plain,(
% 0.15/0.32 ![X0]: (~ssItem(X0)|sk6=X0|~memberP(sk4,X0)|~leq(sk6,X0)|nil=sk3)),
% 0.15/0.32 inference(cnf_transformation,[status(esa)],[f454])).
% 0.15/0.32 fof(f463,plain,(
% 0.15/0.32 spl0_2 <=> nil=sk2),
% 0.15/0.32 introduced(split_symbol_definition)).
% 0.15/0.32 fof(f465,plain,(
% 0.15/0.32 ~nil=sk2|spl0_2),
% 0.15/0.32 inference(component_clause,[status(thm)],[f463])).
% 0.15/0.32 fof(f466,plain,(
% 0.15/0.32 spl0_3 <=> nil=sk1),
% 0.15/0.32 introduced(split_symbol_definition)).
% 0.15/0.32 fof(f468,plain,(
% 0.15/0.32 ~nil=sk1|spl0_3),
% 0.15/0.32 inference(component_clause,[status(thm)],[f466])).
% 0.15/0.32 fof(f469,plain,(
% 0.15/0.32 ~spl0_2|~spl0_3),
% 0.15/0.32 inference(split_clause,[status(thm)],[f445,f463,f466])).
% 0.15/0.32 fof(f470,plain,(
% 0.15/0.32 spl0_4 <=> ssItem(sk6)),
% 0.15/0.32 introduced(split_symbol_definition)).
% 0.15/0.32 fof(f471,plain,(
% 0.15/0.32 ssItem(sk6)|~spl0_4),
% 0.15/0.32 inference(component_clause,[status(thm)],[f470])).
% 0.15/0.32 fof(f473,plain,(
% 0.15/0.32 spl0_5 <=> nil=sk4),
% 0.15/0.32 introduced(split_symbol_definition)).
% 0.15/0.32 fof(f474,plain,(
% 0.15/0.32 nil=sk4|~spl0_5),
% 0.15/0.32 inference(component_clause,[status(thm)],[f473])).
% 0.15/0.32 fof(f476,plain,(
% 0.15/0.32 spl0_4|spl0_5),
% 0.15/0.32 inference(split_clause,[status(thm)],[f446,f470,f473])).
% 0.15/0.32 fof(f477,plain,(
% 0.15/0.32 spl0_6 <=> nil=sk3),
% 0.15/0.32 introduced(split_symbol_definition)).
% 0.15/0.32 fof(f478,plain,(
% 0.15/0.32 nil=sk3|~spl0_6),
% 0.15/0.32 inference(component_clause,[status(thm)],[f477])).
% 0.15/0.32 fof(f480,plain,(
% 0.15/0.32 spl0_4|spl0_6),
% 0.15/0.32 inference(split_clause,[status(thm)],[f447,f470,f477])).
% 0.15/0.32 fof(f481,plain,(
% 0.15/0.32 spl0_7 <=> cons(sk6,nil)=sk3),
% 0.15/0.32 introduced(split_symbol_definition)).
% 0.15/0.32 fof(f482,plain,(
% 0.15/0.32 cons(sk6,nil)=sk3|~spl0_7),
% 0.15/0.32 inference(component_clause,[status(thm)],[f481])).
% 0.15/0.32 fof(f484,plain,(
% 0.15/0.32 spl0_7|spl0_5),
% 0.15/0.32 inference(split_clause,[status(thm)],[f448,f481,f473])).
% 0.15/0.32 fof(f485,plain,(
% 0.15/0.32 spl0_8 <=> memberP(sk4,sk6)),
% 0.15/0.32 introduced(split_symbol_definition)).
% 0.15/0.32 fof(f486,plain,(
% 0.15/0.32 memberP(sk4,sk6)|~spl0_8),
% 0.15/0.32 inference(component_clause,[status(thm)],[f485])).
% 0.15/0.32 fof(f489,plain,(
% 0.15/0.32 spl0_9 <=> ~ssItem(X0)|sk6=X0|~memberP(sk4,X0)|~leq(sk6,X0)),
% 0.15/0.32 introduced(split_symbol_definition)).
% 0.15/0.32 fof(f490,plain,(
% 0.15/0.32 ![X0]: (~ssItem(X0)|sk6=X0|~memberP(sk4,X0)|~leq(sk6,X0)|~spl0_9)),
% 0.15/0.32 inference(component_clause,[status(thm)],[f489])).
% 0.15/0.32 fof(f493,plain,(
% 0.15/0.32 spl0_7|spl0_6),
% 0.15/0.32 inference(split_clause,[status(thm)],[f452,f481,f477])).
% 0.15/0.32 fof(f494,plain,(
% 0.15/0.32 spl0_8|spl0_6),
% 0.15/0.32 inference(split_clause,[status(thm)],[f453,f485,f477])).
% 0.15/0.32 fof(f495,plain,(
% 0.15/0.32 spl0_9|spl0_6),
% 0.15/0.32 inference(split_clause,[status(thm)],[f455,f489,f477])).
% 0.15/0.32 fof(f527,plain,(
% 0.15/0.32 nil=sk1|~spl0_6),
% 0.15/0.32 inference(forward_demodulation,[status(thm)],[f440,f478])).
% 0.15/0.32 fof(f531,plain,(
% 0.15/0.32 nil=sk2|~spl0_5),
% 0.15/0.32 inference(forward_demodulation,[status(thm)],[f439,f474])).
% 0.15/0.32 fof(f532,plain,(
% 0.15/0.32 $false|spl0_2|~spl0_5),
% 0.15/0.32 inference(forward_subsumption_resolution,[status(thm)],[f531,f465])).
% 0.15/0.32 fof(f533,plain,(
% 0.15/0.32 spl0_2|~spl0_5),
% 0.15/0.32 inference(contradiction_clause,[status(thm)],[f532])).
% 0.15/0.32 fof(f534,plain,(
% 0.15/0.32 memberP(sk2,sk6)|~spl0_8),
% 0.15/0.32 inference(forward_demodulation,[status(thm)],[f439,f486])).
% 0.15/0.32 fof(f535,plain,(
% 0.15/0.32 ![X0]: (~ssItem(X0)|sk6=X0|~memberP(sk2,X0)|~leq(sk6,X0)|~spl0_9)),
% 0.15/0.32 inference(forward_demodulation,[status(thm)],[f439,f490])).
% 0.15/0.32 fof(f540,plain,(
% 0.15/0.32 spl0_11 <=> ssList(nil)),
% 0.15/0.32 introduced(split_symbol_definition)).
% 0.15/0.32 fof(f542,plain,(
% 0.15/0.32 ~ssList(nil)|spl0_11),
% 0.15/0.32 inference(component_clause,[status(thm)],[f540])).
% 0.15/0.32 fof(f550,plain,(
% 0.15/0.32 ~sk3=nil|~ssItem(sk6)|~ssList(nil)|~spl0_7),
% 0.15/0.32 inference(paramodulation,[status(thm)],[f482,f304])).
% 0.15/0.32 fof(f551,plain,(
% 0.15/0.32 ~spl0_6|~spl0_4|~spl0_11|~spl0_7),
% 0.15/0.32 inference(split_clause,[status(thm)],[f550,f477,f470,f540,f481])).
% 0.15/0.32 fof(f559,plain,(
% 0.15/0.32 $false|spl0_11),
% 0.15/0.32 inference(forward_subsumption_resolution,[status(thm)],[f542,f212])).
% 0.15/0.32 fof(f560,plain,(
% 0.15/0.32 spl0_11),
% 0.15/0.32 inference(contradiction_clause,[status(thm)],[f559])).
% 0.15/0.32 fof(f561,plain,(
% 0.15/0.32 $false|spl0_3|~spl0_6),
% 0.15/0.32 inference(forward_subsumption_resolution,[status(thm)],[f527,f468])).
% 0.15/0.32 fof(f562,plain,(
% 0.15/0.32 spl0_3|~spl0_6),
% 0.15/0.32 inference(contradiction_clause,[status(thm)],[f561])).
% 0.15/0.32 fof(f573,plain,(
% 0.15/0.32 spl0_14 <=> sk6=sk6),
% 0.15/0.32 introduced(split_symbol_definition)).
% 0.15/0.32 fof(f576,plain,(
% 0.15/0.32 spl0_15 <=> leq(sk6,sk6)),
% 0.15/0.32 introduced(split_symbol_definition)).
% 0.15/0.32 fof(f577,plain,(
% 0.15/0.32 leq(sk6,sk6)|~spl0_15),
% 0.15/0.32 inference(component_clause,[status(thm)],[f576])).
% 0.15/0.32 fof(f578,plain,(
% 0.15/0.32 ~leq(sk6,sk6)|spl0_15),
% 0.15/0.32 inference(component_clause,[status(thm)],[f576])).
% 0.15/0.32 fof(f581,plain,(
% 0.15/0.32 ~ssItem(sk6)|spl0_15),
% 0.15/0.32 inference(resolution,[status(thm)],[f578,f266])).
% 0.15/0.32 fof(f582,plain,(
% 0.15/0.32 $false|~spl0_4|spl0_15),
% 0.15/0.32 inference(forward_subsumption_resolution,[status(thm)],[f581,f471])).
% 0.15/0.32 fof(f583,plain,(
% 0.15/0.32 ~spl0_4|spl0_15),
% 0.15/0.32 inference(contradiction_clause,[status(thm)],[f582])).
% 0.15/0.32 fof(f584,plain,(
% 0.15/0.32 ~leq(sk6,sk6)|~ssItem(sk6)|~ssItem(sk6)|sk6=sk6|~spl0_15),
% 0.15/0.32 inference(resolution,[status(thm)],[f577,f347])).
% 0.15/0.32 fof(f585,plain,(
% 0.15/0.32 ~spl0_15|~spl0_4|spl0_14),
% 0.15/0.32 inference(split_clause,[status(thm)],[f584,f576,f470,f573])).
% 0.15/0.32 fof(f624,plain,(
% 0.15/0.32 spl0_17 <=> sk3=sk1),
% 0.15/0.32 introduced(split_symbol_definition)).
% 0.15/0.32 fof(f626,plain,(
% 0.15/0.32 ~sk3=sk1|spl0_17),
% 0.15/0.32 inference(component_clause,[status(thm)],[f624])).
% 0.15/0.32 fof(f627,plain,(
% 0.15/0.32 spl0_18 <=> ssItem(sk5(sk6))),
% 0.15/0.32 introduced(split_symbol_definition)).
% 0.15/0.32 fof(f630,plain,(
% 0.15/0.32 spl0_19 <=> memberP(sk2,sk6)),
% 0.15/0.32 introduced(split_symbol_definition)).
% 0.15/0.32 fof(f632,plain,(
% 0.15/0.32 ~memberP(sk2,sk6)|spl0_19),
% 0.15/0.32 inference(component_clause,[status(thm)],[f630])).
% 0.15/0.32 fof(f635,plain,(
% 0.15/0.32 $false|~spl0_8|spl0_19),
% 0.15/0.32 inference(forward_subsumption_resolution,[status(thm)],[f632,f534])).
% 0.15/0.32 fof(f636,plain,(
% 0.15/0.32 ~spl0_8|spl0_19),
% 0.15/0.32 inference(contradiction_clause,[status(thm)],[f635])).
% 0.15/0.32 fof(f637,plain,(
% 0.15/0.32 spl0_20 <=> memberP(sk2,sk5(sk6))),
% 0.15/0.32 introduced(split_symbol_definition)).
% 0.15/0.32 fof(f638,plain,(
% 0.15/0.32 memberP(sk2,sk5(sk6))|~spl0_20),
% 0.15/0.32 inference(component_clause,[status(thm)],[f637])).
% 0.15/0.32 fof(f642,plain,(
% 0.15/0.32 $false|spl0_17),
% 0.15/0.32 inference(forward_subsumption_resolution,[status(thm)],[f440,f626])).
% 0.15/0.32 fof(f643,plain,(
% 0.15/0.32 spl0_17),
% 0.15/0.32 inference(contradiction_clause,[status(thm)],[f642])).
% 0.15/0.32 fof(f646,plain,(
% 0.15/0.32 cons(sk6,nil)=sk1|~spl0_7),
% 0.15/0.32 inference(backward_demodulation,[status(thm)],[f440,f482])).
% 0.15/0.32 fof(f650,plain,(
% 0.15/0.32 spl0_21 <=> ~leq(X0,sk6)|~ssItem(X0)|leq(X0,sk6)),
% 0.15/0.32 introduced(split_symbol_definition)).
% 0.15/0.32 fof(f653,plain,(
% 0.15/0.32 ![X0]: (~leq(X0,sk6)|~ssItem(sk6)|~ssItem(sk6)|~ssItem(X0)|leq(X0,sk6)|~spl0_15)),
% 0.15/0.32 inference(resolution,[status(thm)],[f387,f577])).
% 0.15/0.32 fof(f654,plain,(
% 0.15/0.32 spl0_21|~spl0_4|~spl0_15),
% 0.15/0.32 inference(split_clause,[status(thm)],[f653,f650,f470,f576])).
% 0.15/0.32 fof(f669,plain,(
% 0.15/0.32 spl0_22 <=> leq(sk6,sk5(sk6))),
% 0.15/0.32 introduced(split_symbol_definition)).
% 0.15/0.32 fof(f672,plain,(
% 0.15/0.32 ~ssItem(sk6)|leq(sk6,sk5(sk6))|~memberP(sk2,sk6)|~spl0_7),
% 0.15/0.32 inference(resolution,[status(thm)],[f646,f443])).
% 0.15/0.32 fof(f673,plain,(
% 0.15/0.32 ~spl0_4|spl0_22|~spl0_19|~spl0_7),
% 0.15/0.32 inference(split_clause,[status(thm)],[f672,f470,f669,f630,f481])).
% 0.15/0.32 fof(f674,plain,(
% 0.15/0.32 spl0_23 <=> sk6=sk5(sk6)),
% 0.15/0.32 introduced(split_symbol_definition)).
% 0.15/0.32 fof(f677,plain,(
% 0.15/0.32 ~ssItem(sk6)|~sk6=sk5(sk6)|~memberP(sk2,sk6)|~spl0_7),
% 0.15/0.32 inference(resolution,[status(thm)],[f646,f444])).
% 0.15/0.32 fof(f678,plain,(
% 0.15/0.32 ~spl0_4|~spl0_23|~spl0_19|~spl0_7),
% 0.15/0.32 inference(split_clause,[status(thm)],[f677,f470,f674,f630,f481])).
% 0.15/0.32 fof(f679,plain,(
% 0.15/0.32 ~ssItem(sk6)|memberP(sk2,sk5(sk6))|~memberP(sk2,sk6)|~spl0_7),
% 0.15/0.32 inference(resolution,[status(thm)],[f646,f442])).
% 0.15/0.32 fof(f680,plain,(
% 0.15/0.32 ~spl0_4|spl0_20|~spl0_19|~spl0_7),
% 0.15/0.32 inference(split_clause,[status(thm)],[f679,f470,f637,f630,f481])).
% 0.15/0.32 fof(f681,plain,(
% 0.15/0.32 ~ssItem(sk6)|ssItem(sk5(sk6))|~memberP(sk2,sk6)|~spl0_7),
% 0.15/0.32 inference(resolution,[status(thm)],[f646,f441])).
% 0.15/0.32 fof(f682,plain,(
% 0.15/0.32 ~spl0_4|spl0_18|~spl0_19|~spl0_7),
% 0.15/0.32 inference(split_clause,[status(thm)],[f681,f470,f627,f630,f481])).
% 0.15/0.32 fof(f724,plain,(
% 0.15/0.32 ~ssItem(sk5(sk6))|sk6=sk5(sk6)|~leq(sk6,sk5(sk6))|~spl0_20|~spl0_9),
% 0.15/0.32 inference(resolution,[status(thm)],[f638,f535])).
% 0.15/0.32 fof(f725,plain,(
% 0.15/0.32 ~spl0_18|spl0_23|~spl0_22|~spl0_20|~spl0_9),
% 0.15/0.32 inference(split_clause,[status(thm)],[f724,f627,f674,f669,f637,f489])).
% 0.15/0.32 fof(f726,plain,(
% 0.15/0.32 $false),
% 0.15/0.32 inference(sat_refutation,[status(thm)],[f469,f476,f480,f484,f493,f494,f495,f533,f551,f560,f562,f583,f585,f636,f643,f654,f673,f678,f680,f682,f725])).
% 0.15/0.32 % SZS output end CNFRefutation for theBenchmark.p
% 0.15/0.33 % Elapsed time: 0.023654 seconds
% 0.15/0.33 % CPU time: 0.050945 seconds
% 0.15/0.33 % Total memory used: 16.765 MB
% 0.15/0.33 % Net memory used: 16.706 MB
%------------------------------------------------------------------------------