TSTP Solution File: SWC397-1 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SWC397-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n021.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 : Wed May 31 12:40:19 EDT 2023
% Result : Unsatisfiable 0.13s 0.39s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SWC397-1 : TPTP v8.1.2. Released v2.4.0.
% 0.07/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.35 % Computer : n021.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 : 300
% 0.13/0.35 % DateTime : Tue May 30 11:22:22 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.13/0.36 % Drodi V3.5.1
% 0.13/0.39 % Refutation found
% 0.13/0.39 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.39 % SZS output start CNFRefutation for theBenchmark
% 0.13/0.39 fof(f8,axiom,(
% 0.13/0.39 ssList(nil) ),
% 0.13/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f71,axiom,(
% 0.13/0.39 (![U]: (( ~ memberP(nil,U)| ~ ssItem(U) ) ))),
% 0.13/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f86,axiom,(
% 0.13/0.39 (![U,V]: (( ~ ssItem(U)| ~ ssList(V)| ssList(cons(U,V)) ) ))),
% 0.13/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f100,axiom,(
% 0.13/0.39 (![U,V]: (( ~ ssList(U)| ~ ssList(V)| neq(V,U)| V = U ) ))),
% 0.13/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f138,axiom,(
% 0.13/0.39 (![U,V,W]: (( U != V| ~ ssList(W)| ~ ssItem(V)| ~ ssItem(U)| memberP(cons(V,W),U) ) ))),
% 0.13/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f140,axiom,(
% 0.13/0.39 (![U,V,W]: (( ~ memberP(U,V)| ~ ssList(W)| ~ ssList(U)| ~ ssItem(V)| memberP(app(U,W),V) ) ))),
% 0.13/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f141,axiom,(
% 0.13/0.39 (![U,V,W]: (( ~ memberP(U,V)| ~ ssList(U)| ~ ssList(W)| ~ ssItem(V)| memberP(app(W,U),V) ) ))),
% 0.13/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f158,axiom,(
% 0.13/0.39 (![U,V,W]: (( ~ memberP(app(U,V),W)| ~ ssList(V)| ~ ssList(U)| ~ ssItem(W)| memberP(V,W)| memberP(U,W) ) ))),
% 0.13/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f161,axiom,(
% 0.13/0.39 (![U,V,W]: (( ~ memberP(cons(U,V),W)| ~ ssList(V)| ~ ssItem(U)| ~ ssItem(W)| memberP(V,W)| W = U ) ))),
% 0.13/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f187,negated_conjecture,(
% 0.13/0.39 ssList(sk2) ),
% 0.13/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f190,negated_conjecture,(
% 0.13/0.39 sk2 = sk4 ),
% 0.13/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f191,negated_conjecture,(
% 0.13/0.39 sk1 = sk3 ),
% 0.13/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f192,negated_conjecture,(
% 0.13/0.39 ssItem(sk5) ),
% 0.13/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f193,negated_conjecture,(
% 0.13/0.39 memberP(sk1,sk5) ),
% 0.13/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f194,negated_conjecture,(
% 0.13/0.39 ~ memberP(sk2,sk5) ),
% 0.13/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f195,negated_conjecture,(
% 0.13/0.39 ( nil = sk3| nil != sk4 ) ),
% 0.13/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f196,negated_conjecture,(
% 0.13/0.39 ( ssItem(sk6)| ~ neq(sk4,nil) ) ),
% 0.13/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f197,negated_conjecture,(
% 0.13/0.39 ( ssList(sk7)| ~ neq(sk4,nil) ) ),
% 0.13/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f198,negated_conjecture,(
% 0.13/0.39 ( app(cons(sk6,nil),sk7) = sk3| ~ neq(sk4,nil) ) ),
% 0.13/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f199,negated_conjecture,(
% 0.13/0.39 ( app(sk7,cons(sk6,nil)) = sk4| ~ neq(sk4,nil) ) ),
% 0.13/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f207,plain,(
% 0.13/0.39 ssList(nil)),
% 0.13/0.39 inference(cnf_transformation,[status(esa)],[f8])).
% 0.13/0.39 fof(f270,plain,(
% 0.13/0.39 ![X0]: (~memberP(nil,X0)|~ssItem(X0))),
% 0.13/0.39 inference(cnf_transformation,[status(esa)],[f71])).
% 0.13/0.39 fof(f286,plain,(
% 0.13/0.39 ![X0,X1]: (~ssItem(X0)|~ssList(X1)|ssList(cons(X0,X1)))),
% 0.13/0.39 inference(cnf_transformation,[status(esa)],[f86])).
% 0.13/0.39 fof(f302,plain,(
% 0.13/0.39 ![X0,X1]: (~ssList(X0)|~ssList(X1)|neq(X1,X0)|X1=X0)),
% 0.13/0.39 inference(cnf_transformation,[status(esa)],[f100])).
% 0.13/0.39 fof(f352,plain,(
% 0.13/0.39 ![X0,X1,X2]: (~X0=X1|~ssList(X2)|~ssItem(X1)|~ssItem(X0)|memberP(cons(X1,X2),X0))),
% 0.13/0.39 inference(cnf_transformation,[status(esa)],[f138])).
% 0.13/0.39 fof(f354,plain,(
% 0.13/0.39 ![X0,X1,X2]: (~memberP(X0,X1)|~ssList(X2)|~ssList(X0)|~ssItem(X1)|memberP(app(X0,X2),X1))),
% 0.13/0.39 inference(cnf_transformation,[status(esa)],[f140])).
% 0.13/0.39 fof(f355,plain,(
% 0.13/0.39 ![X0,X1,X2]: (~memberP(X0,X1)|~ssList(X0)|~ssList(X2)|~ssItem(X1)|memberP(app(X2,X0),X1))),
% 0.13/0.39 inference(cnf_transformation,[status(esa)],[f141])).
% 0.13/0.39 fof(f384,plain,(
% 0.13/0.39 ![U,W]: ((![V]: ((((~memberP(app(U,V),W)|~ssList(V))|~ssList(U))|~ssItem(W))|memberP(V,W)))|memberP(U,W))),
% 0.13/0.39 inference(miniscoping,[status(esa)],[f158])).
% 0.13/0.39 fof(f385,plain,(
% 0.13/0.39 ![X0,X1,X2]: (~memberP(app(X0,X1),X2)|~ssList(X1)|~ssList(X0)|~ssItem(X2)|memberP(X1,X2)|memberP(X0,X2))),
% 0.13/0.39 inference(cnf_transformation,[status(esa)],[f384])).
% 0.13/0.39 fof(f390,plain,(
% 0.13/0.39 ![U,W]: ((![V]: ((((~memberP(cons(U,V),W)|~ssList(V))|~ssItem(U))|~ssItem(W))|memberP(V,W)))|W=U)),
% 0.13/0.39 inference(miniscoping,[status(esa)],[f161])).
% 0.13/0.39 fof(f391,plain,(
% 0.13/0.39 ![X0,X1,X2]: (~memberP(cons(X0,X1),X2)|~ssList(X1)|~ssItem(X0)|~ssItem(X2)|memberP(X1,X2)|X2=X0)),
% 0.13/0.39 inference(cnf_transformation,[status(esa)],[f390])).
% 0.13/0.39 fof(f431,plain,(
% 0.13/0.39 ssList(sk2)),
% 0.13/0.39 inference(cnf_transformation,[status(esa)],[f187])).
% 0.13/0.39 fof(f434,plain,(
% 0.13/0.39 sk2=sk4),
% 0.13/0.39 inference(cnf_transformation,[status(esa)],[f190])).
% 0.13/0.39 fof(f435,plain,(
% 0.13/0.39 sk1=sk3),
% 0.13/0.39 inference(cnf_transformation,[status(esa)],[f191])).
% 0.13/0.39 fof(f436,plain,(
% 0.13/0.39 ssItem(sk5)),
% 0.13/0.39 inference(cnf_transformation,[status(esa)],[f192])).
% 0.13/0.39 fof(f437,plain,(
% 0.13/0.39 memberP(sk1,sk5)),
% 0.13/0.39 inference(cnf_transformation,[status(esa)],[f193])).
% 0.13/0.39 fof(f438,plain,(
% 0.13/0.39 ~memberP(sk2,sk5)),
% 0.13/0.39 inference(cnf_transformation,[status(esa)],[f194])).
% 0.13/0.39 fof(f439,plain,(
% 0.13/0.39 nil=sk3|~nil=sk4),
% 0.13/0.39 inference(cnf_transformation,[status(esa)],[f195])).
% 0.13/0.39 fof(f440,plain,(
% 0.13/0.39 ssItem(sk6)|~neq(sk4,nil)),
% 0.13/0.39 inference(cnf_transformation,[status(esa)],[f196])).
% 0.13/0.39 fof(f441,plain,(
% 0.13/0.39 ssList(sk7)|~neq(sk4,nil)),
% 0.13/0.39 inference(cnf_transformation,[status(esa)],[f197])).
% 0.13/0.39 fof(f442,plain,(
% 0.13/0.39 app(cons(sk6,nil),sk7)=sk3|~neq(sk4,nil)),
% 0.13/0.39 inference(cnf_transformation,[status(esa)],[f198])).
% 0.13/0.39 fof(f443,plain,(
% 0.13/0.39 app(sk7,cons(sk6,nil))=sk4|~neq(sk4,nil)),
% 0.13/0.39 inference(cnf_transformation,[status(esa)],[f199])).
% 0.13/0.39 fof(f451,plain,(
% 0.13/0.39 spl0_2 <=> nil=sk3),
% 0.13/0.39 introduced(split_symbol_definition)).
% 0.13/0.39 fof(f452,plain,(
% 0.13/0.39 nil=sk3|~spl0_2),
% 0.13/0.39 inference(component_clause,[status(thm)],[f451])).
% 0.13/0.39 fof(f454,plain,(
% 0.13/0.39 spl0_3 <=> nil=sk4),
% 0.13/0.39 introduced(split_symbol_definition)).
% 0.13/0.39 fof(f456,plain,(
% 0.13/0.39 ~nil=sk4|spl0_3),
% 0.13/0.39 inference(component_clause,[status(thm)],[f454])).
% 0.13/0.39 fof(f457,plain,(
% 0.13/0.39 spl0_2|~spl0_3),
% 0.13/0.39 inference(split_clause,[status(thm)],[f439,f451,f454])).
% 0.13/0.39 fof(f458,plain,(
% 0.13/0.39 spl0_4 <=> ssItem(sk6)),
% 0.13/0.39 introduced(split_symbol_definition)).
% 0.13/0.39 fof(f461,plain,(
% 0.13/0.39 spl0_5 <=> neq(sk4,nil)),
% 0.13/0.39 introduced(split_symbol_definition)).
% 0.13/0.39 fof(f463,plain,(
% 0.13/0.39 ~neq(sk4,nil)|spl0_5),
% 0.13/0.39 inference(component_clause,[status(thm)],[f461])).
% 0.13/0.39 fof(f464,plain,(
% 0.13/0.39 spl0_4|~spl0_5),
% 0.13/0.39 inference(split_clause,[status(thm)],[f440,f458,f461])).
% 0.13/0.39 fof(f465,plain,(
% 0.13/0.39 spl0_6 <=> ssList(sk7)),
% 0.13/0.39 introduced(split_symbol_definition)).
% 0.13/0.39 fof(f468,plain,(
% 0.13/0.39 spl0_6|~spl0_5),
% 0.13/0.39 inference(split_clause,[status(thm)],[f441,f465,f461])).
% 0.13/0.39 fof(f469,plain,(
% 0.13/0.39 spl0_7 <=> app(cons(sk6,nil),sk7)=sk3),
% 0.13/0.39 introduced(split_symbol_definition)).
% 0.13/0.39 fof(f470,plain,(
% 0.13/0.39 app(cons(sk6,nil),sk7)=sk3|~spl0_7),
% 0.13/0.39 inference(component_clause,[status(thm)],[f469])).
% 0.13/0.39 fof(f472,plain,(
% 0.13/0.39 spl0_7|~spl0_5),
% 0.13/0.39 inference(split_clause,[status(thm)],[f442,f469,f461])).
% 0.13/0.39 fof(f473,plain,(
% 0.13/0.39 spl0_8 <=> app(sk7,cons(sk6,nil))=sk4),
% 0.13/0.39 introduced(split_symbol_definition)).
% 0.13/0.39 fof(f474,plain,(
% 0.13/0.39 app(sk7,cons(sk6,nil))=sk4|~spl0_8),
% 0.13/0.39 inference(component_clause,[status(thm)],[f473])).
% 0.13/0.39 fof(f476,plain,(
% 0.13/0.39 spl0_8|~spl0_5),
% 0.13/0.39 inference(split_clause,[status(thm)],[f443,f473,f461])).
% 0.13/0.39 fof(f489,plain,(
% 0.13/0.39 ![X2,X1]: (~ssList(X2)|~ssItem(X1)|~ssItem(X1)|memberP(cons(X1,X2),X1))),
% 0.13/0.39 inference(destructive_equality_resolution,[status(esa)],[f352])).
% 0.13/0.39 fof(f490,plain,(
% 0.13/0.39 ![X0,X1]: (~ssList(X0)|~ssItem(X1)|memberP(cons(X1,X0),X1))),
% 0.13/0.39 inference(duplicate_literals_removal,[status(esa)],[f489])).
% 0.13/0.39 fof(f508,plain,(
% 0.13/0.39 ~neq(sk2,nil)|spl0_5),
% 0.13/0.39 inference(forward_demodulation,[status(thm)],[f434,f463])).
% 0.13/0.39 fof(f509,plain,(
% 0.13/0.39 ~nil=sk2|spl0_3),
% 0.13/0.39 inference(forward_demodulation,[status(thm)],[f434,f456])).
% 0.13/0.39 fof(f510,plain,(
% 0.13/0.39 spl0_9 <=> ssList(nil)),
% 0.13/0.39 introduced(split_symbol_definition)).
% 0.13/0.39 fof(f512,plain,(
% 0.13/0.39 ~ssList(nil)|spl0_9),
% 0.13/0.39 inference(component_clause,[status(thm)],[f510])).
% 0.13/0.39 fof(f513,plain,(
% 0.13/0.39 spl0_10 <=> ssList(sk2)),
% 0.13/0.39 introduced(split_symbol_definition)).
% 0.13/0.39 fof(f515,plain,(
% 0.13/0.39 ~ssList(sk2)|spl0_10),
% 0.13/0.39 inference(component_clause,[status(thm)],[f513])).
% 0.13/0.39 fof(f516,plain,(
% 0.13/0.39 spl0_11 <=> sk2=nil),
% 0.13/0.39 introduced(split_symbol_definition)).
% 0.13/0.39 fof(f517,plain,(
% 0.13/0.39 sk2=nil|~spl0_11),
% 0.13/0.39 inference(component_clause,[status(thm)],[f516])).
% 0.13/0.39 fof(f519,plain,(
% 0.13/0.39 ~ssList(nil)|~ssList(sk2)|sk2=nil|spl0_5),
% 0.13/0.39 inference(resolution,[status(thm)],[f302,f508])).
% 0.13/0.39 fof(f520,plain,(
% 0.13/0.39 ~spl0_9|~spl0_10|spl0_11|spl0_5),
% 0.13/0.39 inference(split_clause,[status(thm)],[f519,f510,f513,f516,f461])).
% 0.13/0.39 fof(f521,plain,(
% 0.13/0.39 $false|spl0_10),
% 0.13/0.39 inference(forward_subsumption_resolution,[status(thm)],[f515,f431])).
% 0.13/0.39 fof(f522,plain,(
% 0.13/0.39 spl0_10),
% 0.13/0.39 inference(contradiction_clause,[status(thm)],[f521])).
% 0.13/0.39 fof(f523,plain,(
% 0.13/0.39 $false|spl0_9),
% 0.13/0.39 inference(forward_subsumption_resolution,[status(thm)],[f512,f207])).
% 0.13/0.39 fof(f524,plain,(
% 0.13/0.39 spl0_9),
% 0.13/0.39 inference(contradiction_clause,[status(thm)],[f523])).
% 0.13/0.39 fof(f525,plain,(
% 0.13/0.39 app(cons(sk6,nil),sk7)=sk1|~spl0_7),
% 0.13/0.39 inference(forward_demodulation,[status(thm)],[f435,f470])).
% 0.13/0.39 fof(f526,plain,(
% 0.13/0.39 app(sk7,cons(sk6,nil))=sk2|~spl0_8),
% 0.13/0.39 inference(forward_demodulation,[status(thm)],[f434,f474])).
% 0.13/0.39 fof(f528,plain,(
% 0.13/0.39 spl0_12 <=> ssList(cons(sk6,nil))),
% 0.13/0.39 introduced(split_symbol_definition)).
% 0.13/0.39 fof(f530,plain,(
% 0.13/0.39 ~ssList(cons(sk6,nil))|spl0_12),
% 0.13/0.39 inference(component_clause,[status(thm)],[f528])).
% 0.13/0.39 fof(f536,plain,(
% 0.13/0.39 ~ssItem(sk6)|~ssList(nil)|spl0_12),
% 0.13/0.39 inference(resolution,[status(thm)],[f530,f286])).
% 0.13/0.39 fof(f537,plain,(
% 0.13/0.39 ~spl0_4|~spl0_9|spl0_12),
% 0.13/0.39 inference(split_clause,[status(thm)],[f536,f458,f510,f528])).
% 0.13/0.39 fof(f540,plain,(
% 0.13/0.39 spl0_14 <=> ~memberP(sk7,X0)|~ssItem(X0)|memberP(sk2,X0)),
% 0.13/0.39 introduced(split_symbol_definition)).
% 0.13/0.39 fof(f541,plain,(
% 0.13/0.39 ![X0]: (~memberP(sk7,X0)|~ssItem(X0)|memberP(sk2,X0)|~spl0_14)),
% 0.13/0.39 inference(component_clause,[status(thm)],[f540])).
% 0.13/0.39 fof(f543,plain,(
% 0.13/0.39 ![X0]: (~memberP(sk7,X0)|~ssList(cons(sk6,nil))|~ssList(sk7)|~ssItem(X0)|memberP(sk2,X0)|~spl0_8)),
% 0.13/0.39 inference(paramodulation,[status(thm)],[f526,f354])).
% 0.13/0.39 fof(f544,plain,(
% 0.13/0.39 spl0_14|~spl0_12|~spl0_6|~spl0_8),
% 0.13/0.39 inference(split_clause,[status(thm)],[f543,f540,f528,f465,f473])).
% 0.13/0.39 fof(f561,plain,(
% 0.13/0.39 spl0_18 <=> ~memberP(cons(sk6,nil),X0)|~ssItem(X0)|memberP(sk2,X0)),
% 0.13/0.39 introduced(split_symbol_definition)).
% 0.13/0.39 fof(f562,plain,(
% 0.13/0.39 ![X0]: (~memberP(cons(sk6,nil),X0)|~ssItem(X0)|memberP(sk2,X0)|~spl0_18)),
% 0.13/0.39 inference(component_clause,[status(thm)],[f561])).
% 0.13/0.39 fof(f564,plain,(
% 0.13/0.39 ![X0]: (~memberP(cons(sk6,nil),X0)|~ssList(cons(sk6,nil))|~ssList(sk7)|~ssItem(X0)|memberP(sk2,X0)|~spl0_8)),
% 0.13/0.39 inference(paramodulation,[status(thm)],[f526,f355])).
% 0.13/0.39 fof(f565,plain,(
% 0.13/0.39 spl0_18|~spl0_12|~spl0_6|~spl0_8),
% 0.13/0.39 inference(split_clause,[status(thm)],[f564,f561,f528,f465,f473])).
% 0.13/0.39 fof(f576,plain,(
% 0.13/0.39 spl0_21 <=> memberP(sk2,sk6)),
% 0.13/0.39 introduced(split_symbol_definition)).
% 0.13/0.39 fof(f577,plain,(
% 0.13/0.39 memberP(sk2,sk6)|~spl0_21),
% 0.13/0.39 inference(component_clause,[status(thm)],[f576])).
% 0.13/0.39 fof(f579,plain,(
% 0.13/0.39 ~ssItem(sk6)|memberP(sk2,sk6)|~ssList(nil)|~ssItem(sk6)|~spl0_18),
% 0.13/0.39 inference(resolution,[status(thm)],[f562,f490])).
% 0.13/0.39 fof(f580,plain,(
% 0.13/0.39 ~spl0_4|spl0_21|~spl0_9|~spl0_18),
% 0.13/0.39 inference(split_clause,[status(thm)],[f579,f458,f576,f510,f561])).
% 0.13/0.39 fof(f587,plain,(
% 0.13/0.39 spl0_23 <=> ~memberP(sk1,X0)|~ssItem(X0)|memberP(sk7,X0)|memberP(cons(sk6,nil),X0)),
% 0.13/0.39 introduced(split_symbol_definition)).
% 0.13/0.39 fof(f588,plain,(
% 0.13/0.39 ![X0]: (~memberP(sk1,X0)|~ssItem(X0)|memberP(sk7,X0)|memberP(cons(sk6,nil),X0)|~spl0_23)),
% 0.13/0.39 inference(component_clause,[status(thm)],[f587])).
% 0.13/0.39 fof(f590,plain,(
% 0.13/0.39 ![X0]: (~memberP(sk1,X0)|~ssList(sk7)|~ssList(cons(sk6,nil))|~ssItem(X0)|memberP(sk7,X0)|memberP(cons(sk6,nil),X0)|~spl0_7)),
% 0.13/0.39 inference(paramodulation,[status(thm)],[f525,f385])).
% 0.13/0.39 fof(f591,plain,(
% 0.13/0.39 spl0_23|~spl0_6|~spl0_12|~spl0_7),
% 0.13/0.39 inference(split_clause,[status(thm)],[f590,f587,f465,f528,f469])).
% 0.13/0.39 fof(f595,plain,(
% 0.13/0.39 spl0_24 <=> ~memberP(sk1,X0)|~ssItem(X0)|memberP(sk7,X0)|~ssItem(X0)|memberP(nil,X0)|X0=sk6),
% 0.13/0.39 introduced(split_symbol_definition)).
% 0.13/0.39 fof(f596,plain,(
% 0.13/0.39 ![X0]: (~memberP(sk1,X0)|~ssItem(X0)|memberP(sk7,X0)|~ssItem(X0)|memberP(nil,X0)|X0=sk6|~spl0_24)),
% 0.13/0.39 inference(component_clause,[status(thm)],[f595])).
% 0.13/0.39 fof(f598,plain,(
% 0.13/0.39 ![X0]: (~memberP(sk1,X0)|~ssItem(X0)|memberP(sk7,X0)|~ssList(nil)|~ssItem(sk6)|~ssItem(X0)|memberP(nil,X0)|X0=sk6|~spl0_23)),
% 0.13/0.39 inference(resolution,[status(thm)],[f588,f391])).
% 0.13/0.39 fof(f599,plain,(
% 0.13/0.39 spl0_24|~spl0_9|~spl0_4|~spl0_23),
% 0.13/0.39 inference(split_clause,[status(thm)],[f598,f595,f510,f458,f587])).
% 0.13/0.39 fof(f600,plain,(
% 0.13/0.39 ![X0]: (~memberP(sk1,X0)|~ssItem(X0)|memberP(sk7,X0)|memberP(nil,X0)|X0=sk6|~spl0_24)),
% 0.13/0.39 inference(duplicate_literals_removal,[status(esa)],[f596])).
% 0.13/0.39 fof(f601,plain,(
% 0.13/0.39 ![X0]: (~memberP(sk1,X0)|~ssItem(X0)|memberP(sk7,X0)|X0=sk6|~spl0_24)),
% 0.13/0.39 inference(forward_subsumption_resolution,[status(thm)],[f600,f270])).
% 0.13/0.39 fof(f602,plain,(
% 0.13/0.39 ![X0]: (~memberP(sk1,X0)|~ssItem(X0)|X0=sk6|~ssItem(X0)|memberP(sk2,X0)|~spl0_24|~spl0_14)),
% 0.13/0.39 inference(resolution,[status(thm)],[f601,f541])).
% 0.13/0.39 fof(f603,plain,(
% 0.13/0.39 ![X0]: (~memberP(sk1,X0)|~ssItem(X0)|X0=sk6|memberP(sk2,X0)|~spl0_24|~spl0_14)),
% 0.13/0.39 inference(duplicate_literals_removal,[status(esa)],[f602])).
% 0.13/0.39 fof(f604,plain,(
% 0.13/0.39 spl0_25 <=> memberP(sk1,sk5)),
% 0.13/0.39 introduced(split_symbol_definition)).
% 0.13/0.39 fof(f606,plain,(
% 0.13/0.39 ~memberP(sk1,sk5)|spl0_25),
% 0.13/0.39 inference(component_clause,[status(thm)],[f604])).
% 0.13/0.39 fof(f607,plain,(
% 0.13/0.39 spl0_26 <=> ssItem(sk5)),
% 0.13/0.39 introduced(split_symbol_definition)).
% 0.13/0.39 fof(f609,plain,(
% 0.13/0.39 ~ssItem(sk5)|spl0_26),
% 0.13/0.39 inference(component_clause,[status(thm)],[f607])).
% 0.13/0.39 fof(f610,plain,(
% 0.13/0.39 spl0_27 <=> sk5=sk6),
% 0.13/0.39 introduced(split_symbol_definition)).
% 0.13/0.39 fof(f611,plain,(
% 0.13/0.39 sk5=sk6|~spl0_27),
% 0.13/0.39 inference(component_clause,[status(thm)],[f610])).
% 0.13/0.39 fof(f613,plain,(
% 0.13/0.39 ~memberP(sk1,sk5)|~ssItem(sk5)|sk5=sk6|~spl0_24|~spl0_14),
% 0.13/0.39 inference(resolution,[status(thm)],[f603,f438])).
% 0.13/0.39 fof(f614,plain,(
% 0.13/0.39 ~spl0_25|~spl0_26|spl0_27|~spl0_24|~spl0_14),
% 0.13/0.39 inference(split_clause,[status(thm)],[f613,f604,f607,f610,f595,f540])).
% 0.13/0.39 fof(f615,plain,(
% 0.13/0.39 $false|spl0_26),
% 0.13/0.39 inference(forward_subsumption_resolution,[status(thm)],[f609,f436])).
% 0.13/0.39 fof(f616,plain,(
% 0.13/0.39 spl0_26),
% 0.13/0.39 inference(contradiction_clause,[status(thm)],[f615])).
% 0.13/0.39 fof(f617,plain,(
% 0.13/0.39 $false|spl0_25),
% 0.13/0.39 inference(forward_subsumption_resolution,[status(thm)],[f606,f437])).
% 0.13/0.39 fof(f618,plain,(
% 0.13/0.39 spl0_25),
% 0.13/0.39 inference(contradiction_clause,[status(thm)],[f617])).
% 0.13/0.39 fof(f622,plain,(
% 0.13/0.39 memberP(sk2,sk5)|~spl0_27|~spl0_21),
% 0.13/0.39 inference(backward_demodulation,[status(thm)],[f611,f577])).
% 0.13/0.39 fof(f623,plain,(
% 0.13/0.39 $false|~spl0_27|~spl0_21),
% 0.13/0.39 inference(forward_subsumption_resolution,[status(thm)],[f622,f438])).
% 0.13/0.39 fof(f624,plain,(
% 0.13/0.39 ~spl0_27|~spl0_21),
% 0.13/0.39 inference(contradiction_clause,[status(thm)],[f623])).
% 0.13/0.39 fof(f625,plain,(
% 0.13/0.39 $false|spl0_3|~spl0_11),
% 0.13/0.39 inference(forward_subsumption_resolution,[status(thm)],[f517,f509])).
% 0.13/0.39 fof(f626,plain,(
% 0.13/0.39 spl0_3|~spl0_11),
% 0.13/0.39 inference(contradiction_clause,[status(thm)],[f625])).
% 0.13/0.39 fof(f627,plain,(
% 0.13/0.39 nil=sk1|~spl0_2),
% 0.13/0.39 inference(forward_demodulation,[status(thm)],[f435,f452])).
% 0.13/0.39 fof(f633,plain,(
% 0.13/0.39 memberP(nil,sk5)|~spl0_2),
% 0.13/0.39 inference(backward_demodulation,[status(thm)],[f627,f437])).
% 0.13/0.39 fof(f651,plain,(
% 0.13/0.39 ~ssItem(sk5)|~spl0_2),
% 0.13/0.39 inference(resolution,[status(thm)],[f633,f270])).
% 0.13/0.39 fof(f652,plain,(
% 0.13/0.39 ~spl0_26|~spl0_2),
% 0.13/0.39 inference(split_clause,[status(thm)],[f651,f607,f451])).
% 0.13/0.39 fof(f653,plain,(
% 0.13/0.39 $false),
% 0.13/0.39 inference(sat_refutation,[status(thm)],[f457,f464,f468,f472,f476,f520,f522,f524,f537,f544,f565,f580,f591,f599,f614,f616,f618,f624,f626,f652])).
% 0.13/0.39 % SZS output end CNFRefutation for theBenchmark.p
% 0.21/0.40 % Elapsed time: 0.048361 seconds
% 0.21/0.40 % CPU time: 0.182761 seconds
% 0.21/0.40 % Memory used: 19.145 MB
%------------------------------------------------------------------------------