TSTP Solution File: SWC188-1 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SWC188-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n029.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 12:39:36 EDT 2023
% Result : Unsatisfiable 0.14s 0.44s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : SWC188-1 : TPTP v8.1.2. Released v2.4.0.
% 0.00/0.10 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.08/0.30 % Computer : n029.cluster.edu
% 0.08/0.30 % Model : x86_64 x86_64
% 0.08/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.30 % Memory : 8042.1875MB
% 0.08/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.08/0.30 % CPULimit : 300
% 0.08/0.30 % WCLimit : 300
% 0.08/0.30 % DateTime : Tue May 30 11:36:36 EDT 2023
% 0.08/0.30 % CPUTime :
% 0.08/0.31 % Drodi V3.5.1
% 0.14/0.44 % Refutation found
% 0.14/0.44 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/0.44 % SZS output start CNFRefutation for theBenchmark
% 0.14/0.44 fof(f8,axiom,(
% 0.14/0.44 ssList(nil) ),
% 0.14/0.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.44 fof(f71,axiom,(
% 0.14/0.44 (![U]: (( ~ memberP(nil,U)| ~ ssItem(U) ) ))),
% 0.14/0.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.44 fof(f85,axiom,(
% 0.14/0.44 (![U,V]: (( ~ ssList(U)| ~ ssList(V)| ssList(app(V,U)) ) ))),
% 0.14/0.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.44 fof(f86,axiom,(
% 0.14/0.44 (![U,V]: (( ~ ssItem(U)| ~ ssList(V)| ssList(cons(U,V)) ) ))),
% 0.14/0.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.44 fof(f138,axiom,(
% 0.14/0.44 (![U,V,W]: (( U != V| ~ ssList(W)| ~ ssItem(V)| ~ ssItem(U)| memberP(cons(V,W),U) ) ))),
% 0.14/0.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.44 fof(f140,axiom,(
% 0.14/0.44 (![U,V,W]: (( ~ memberP(U,V)| ~ ssList(W)| ~ ssList(U)| ~ ssItem(V)| memberP(app(U,W),V) ) ))),
% 0.14/0.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.44 fof(f141,axiom,(
% 0.14/0.44 (![U,V,W]: (( ~ memberP(U,V)| ~ ssList(U)| ~ ssList(W)| ~ ssItem(V)| memberP(app(W,U),V) ) ))),
% 0.14/0.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.44 fof(f149,axiom,(
% 0.14/0.44 (![U,V,W]: (( ~ ssList(U)| ~ ssList(V)| ~ ssList(W)| app(app(W,V),U) = app(W,app(V,U)) ) ))),
% 0.14/0.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.44 fof(f161,axiom,(
% 0.14/0.44 (![U,V,W]: (( ~ memberP(cons(U,V),W)| ~ ssList(V)| ~ ssItem(U)| ~ ssItem(W)| memberP(V,W)| W = U ) ))),
% 0.14/0.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.44 fof(f175,axiom,(
% 0.14/0.44 (![U,V,W,X]: (( app(U,cons(V,W)) != X| ~ ssList(W)| ~ ssList(U)| ~ ssItem(V)| ~ ssList(X)| memberP(X,V) ) ))),
% 0.14/0.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.44 fof(f191,negated_conjecture,(
% 0.14/0.44 sk1 = sk3 ),
% 0.14/0.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.44 fof(f192,negated_conjecture,(
% 0.14/0.44 ssItem(sk5) ),
% 0.14/0.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.44 fof(f193,negated_conjecture,(
% 0.14/0.44 ssItem(sk6) ),
% 0.14/0.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.44 fof(f194,negated_conjecture,(
% 0.14/0.44 ssList(sk7) ),
% 0.14/0.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.44 fof(f195,negated_conjecture,(
% 0.14/0.44 ssList(sk8) ),
% 0.14/0.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.44 fof(f196,negated_conjecture,(
% 0.14/0.44 app(app(app(sk7,cons(sk5,nil)),cons(sk6,nil)),sk8) = sk1 ),
% 0.14/0.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.44 fof(f197,negated_conjecture,(
% 0.14/0.44 sk5 != sk6 ),
% 0.14/0.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.44 fof(f199,negated_conjecture,(
% 0.14/0.44 ( ssItem(sk9)| nil = sk3 ) ),
% 0.14/0.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.44 fof(f203,negated_conjecture,(
% 0.14/0.44 ( cons(sk9,nil) = sk3| nil = sk3 ) ),
% 0.14/0.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.44 fof(f213,plain,(
% 0.14/0.44 ssList(nil)),
% 0.14/0.44 inference(cnf_transformation,[status(esa)],[f8])).
% 0.14/0.44 fof(f276,plain,(
% 0.14/0.44 ![X0]: (~memberP(nil,X0)|~ssItem(X0))),
% 0.14/0.44 inference(cnf_transformation,[status(esa)],[f71])).
% 0.14/0.44 fof(f291,plain,(
% 0.14/0.44 ![X0,X1]: (~ssList(X0)|~ssList(X1)|ssList(app(X1,X0)))),
% 0.14/0.44 inference(cnf_transformation,[status(esa)],[f85])).
% 0.14/0.44 fof(f292,plain,(
% 0.14/0.44 ![X0,X1]: (~ssItem(X0)|~ssList(X1)|ssList(cons(X0,X1)))),
% 0.14/0.44 inference(cnf_transformation,[status(esa)],[f86])).
% 0.14/0.44 fof(f358,plain,(
% 0.14/0.44 ![X0,X1,X2]: (~X0=X1|~ssList(X2)|~ssItem(X1)|~ssItem(X0)|memberP(cons(X1,X2),X0))),
% 0.14/0.44 inference(cnf_transformation,[status(esa)],[f138])).
% 0.14/0.44 fof(f360,plain,(
% 0.14/0.44 ![X0,X1,X2]: (~memberP(X0,X1)|~ssList(X2)|~ssList(X0)|~ssItem(X1)|memberP(app(X0,X2),X1))),
% 0.14/0.44 inference(cnf_transformation,[status(esa)],[f140])).
% 0.14/0.44 fof(f361,plain,(
% 0.14/0.44 ![X0,X1,X2]: (~memberP(X0,X1)|~ssList(X0)|~ssList(X2)|~ssItem(X1)|memberP(app(X2,X0),X1))),
% 0.14/0.44 inference(cnf_transformation,[status(esa)],[f141])).
% 0.14/0.44 fof(f374,plain,(
% 0.14/0.44 ![X0,X1,X2]: (~ssList(X0)|~ssList(X1)|~ssList(X2)|app(app(X2,X1),X0)=app(X2,app(X1,X0)))),
% 0.14/0.44 inference(cnf_transformation,[status(esa)],[f149])).
% 0.14/0.44 fof(f396,plain,(
% 0.14/0.44 ![U,W]: ((![V]: ((((~memberP(cons(U,V),W)|~ssList(V))|~ssItem(U))|~ssItem(W))|memberP(V,W)))|W=U)),
% 0.14/0.44 inference(miniscoping,[status(esa)],[f161])).
% 0.14/0.44 fof(f397,plain,(
% 0.14/0.44 ![X0,X1,X2]: (~memberP(cons(X0,X1),X2)|~ssList(X1)|~ssItem(X0)|~ssItem(X2)|memberP(X1,X2)|X2=X0)),
% 0.14/0.45 inference(cnf_transformation,[status(esa)],[f396])).
% 0.14/0.45 fof(f415,plain,(
% 0.14/0.45 ![V,X]: ((((![U]: ((![W]: (~app(U,cons(V,W))=X|~ssList(W)))|~ssList(U)))|~ssItem(V))|~ssList(X))|memberP(X,V))),
% 0.14/0.45 inference(miniscoping,[status(esa)],[f175])).
% 0.14/0.45 fof(f416,plain,(
% 0.14/0.45 ![X0,X1,X2,X3]: (~app(X0,cons(X1,X2))=X3|~ssList(X2)|~ssList(X0)|~ssItem(X1)|~ssList(X3)|memberP(X3,X1))),
% 0.14/0.45 inference(cnf_transformation,[status(esa)],[f415])).
% 0.14/0.45 fof(f441,plain,(
% 0.14/0.45 sk1=sk3),
% 0.14/0.45 inference(cnf_transformation,[status(esa)],[f191])).
% 0.14/0.45 fof(f442,plain,(
% 0.14/0.45 ssItem(sk5)),
% 0.14/0.45 inference(cnf_transformation,[status(esa)],[f192])).
% 0.14/0.45 fof(f443,plain,(
% 0.14/0.45 ssItem(sk6)),
% 0.14/0.45 inference(cnf_transformation,[status(esa)],[f193])).
% 0.14/0.45 fof(f444,plain,(
% 0.14/0.45 ssList(sk7)),
% 0.14/0.45 inference(cnf_transformation,[status(esa)],[f194])).
% 0.14/0.45 fof(f445,plain,(
% 0.14/0.45 ssList(sk8)),
% 0.14/0.45 inference(cnf_transformation,[status(esa)],[f195])).
% 0.14/0.45 fof(f446,plain,(
% 0.14/0.45 app(app(app(sk7,cons(sk5,nil)),cons(sk6,nil)),sk8)=sk1),
% 0.14/0.45 inference(cnf_transformation,[status(esa)],[f196])).
% 0.14/0.45 fof(f447,plain,(
% 0.14/0.45 ~sk5=sk6),
% 0.14/0.45 inference(cnf_transformation,[status(esa)],[f197])).
% 0.14/0.45 fof(f449,plain,(
% 0.14/0.45 ssItem(sk9)|nil=sk3),
% 0.14/0.45 inference(cnf_transformation,[status(esa)],[f199])).
% 0.14/0.45 fof(f454,plain,(
% 0.14/0.45 cons(sk9,nil)=sk3|nil=sk3),
% 0.14/0.45 inference(cnf_transformation,[status(esa)],[f203])).
% 0.14/0.45 fof(f465,plain,(
% 0.14/0.45 spl0_2 <=> ssItem(sk9)),
% 0.14/0.45 introduced(split_symbol_definition)).
% 0.14/0.45 fof(f472,plain,(
% 0.14/0.45 spl0_4 <=> nil=sk3),
% 0.14/0.45 introduced(split_symbol_definition)).
% 0.14/0.45 fof(f473,plain,(
% 0.14/0.45 nil=sk3|~spl0_4),
% 0.14/0.45 inference(component_clause,[status(thm)],[f472])).
% 0.14/0.45 fof(f475,plain,(
% 0.14/0.45 spl0_2|spl0_4),
% 0.14/0.45 inference(split_clause,[status(thm)],[f449,f465,f472])).
% 0.14/0.45 fof(f476,plain,(
% 0.14/0.45 spl0_5 <=> cons(sk9,nil)=sk3),
% 0.14/0.45 introduced(split_symbol_definition)).
% 0.14/0.45 fof(f477,plain,(
% 0.14/0.45 cons(sk9,nil)=sk3|~spl0_5),
% 0.14/0.45 inference(component_clause,[status(thm)],[f476])).
% 0.14/0.45 fof(f488,plain,(
% 0.14/0.45 spl0_5|spl0_4),
% 0.14/0.45 inference(split_clause,[status(thm)],[f454,f476,f472])).
% 0.14/0.45 fof(f503,plain,(
% 0.14/0.45 ![X2,X1]: (~ssList(X2)|~ssItem(X1)|~ssItem(X1)|memberP(cons(X1,X2),X1))),
% 0.14/0.45 inference(destructive_equality_resolution,[status(esa)],[f358])).
% 0.14/0.45 fof(f504,plain,(
% 0.14/0.45 ![X0,X1]: (~ssList(X0)|~ssItem(X1)|memberP(cons(X1,X0),X1))),
% 0.14/0.45 inference(duplicate_literals_removal,[status(esa)],[f503])).
% 0.14/0.45 fof(f510,plain,(
% 0.14/0.45 ![X0,X1,X2]: (~ssList(X0)|~ssList(X1)|~ssItem(X2)|~ssList(app(X1,cons(X2,X0)))|memberP(app(X1,cons(X2,X0)),X2))),
% 0.14/0.45 inference(destructive_equality_resolution,[status(esa)],[f416])).
% 0.14/0.45 fof(f522,plain,(
% 0.14/0.45 nil=sk1|~spl0_4),
% 0.14/0.45 inference(forward_demodulation,[status(thm)],[f441,f473])).
% 0.14/0.45 fof(f528,plain,(
% 0.14/0.45 spl0_8 <=> ssList(sk8)),
% 0.14/0.45 introduced(split_symbol_definition)).
% 0.14/0.45 fof(f530,plain,(
% 0.14/0.45 ~ssList(sk8)|spl0_8),
% 0.14/0.45 inference(component_clause,[status(thm)],[f528])).
% 0.14/0.45 fof(f534,plain,(
% 0.14/0.45 spl0_10 <=> ssList(nil)),
% 0.14/0.45 introduced(split_symbol_definition)).
% 0.14/0.45 fof(f536,plain,(
% 0.14/0.45 ~ssList(nil)|spl0_10),
% 0.14/0.45 inference(component_clause,[status(thm)],[f534])).
% 0.14/0.45 fof(f539,plain,(
% 0.14/0.45 spl0_11 <=> ssList(cons(sk6,nil))),
% 0.14/0.45 introduced(split_symbol_definition)).
% 0.14/0.45 fof(f541,plain,(
% 0.14/0.45 ~ssList(cons(sk6,nil))|spl0_11),
% 0.14/0.45 inference(component_clause,[status(thm)],[f539])).
% 0.14/0.45 fof(f542,plain,(
% 0.14/0.45 spl0_12 <=> ssList(app(sk7,cons(sk5,nil)))),
% 0.14/0.45 introduced(split_symbol_definition)).
% 0.14/0.45 fof(f544,plain,(
% 0.14/0.45 ~ssList(app(sk7,cons(sk5,nil)))|spl0_12),
% 0.14/0.45 inference(component_clause,[status(thm)],[f542])).
% 0.14/0.45 fof(f547,plain,(
% 0.14/0.45 $false|spl0_8),
% 0.14/0.45 inference(forward_subsumption_resolution,[status(thm)],[f530,f445])).
% 0.14/0.45 fof(f548,plain,(
% 0.14/0.45 spl0_8),
% 0.14/0.45 inference(contradiction_clause,[status(thm)],[f547])).
% 0.14/0.45 fof(f549,plain,(
% 0.14/0.45 spl0_13 <=> ssList(cons(sk5,nil))),
% 0.14/0.45 introduced(split_symbol_definition)).
% 0.14/0.45 fof(f551,plain,(
% 0.14/0.45 ~ssList(cons(sk5,nil))|spl0_13),
% 0.14/0.45 inference(component_clause,[status(thm)],[f549])).
% 0.14/0.45 fof(f552,plain,(
% 0.14/0.45 spl0_14 <=> ssList(sk7)),
% 0.14/0.45 introduced(split_symbol_definition)).
% 0.14/0.45 fof(f554,plain,(
% 0.14/0.45 ~ssList(sk7)|spl0_14),
% 0.14/0.45 inference(component_clause,[status(thm)],[f552])).
% 0.14/0.45 fof(f555,plain,(
% 0.14/0.45 ~ssList(cons(sk5,nil))|~ssList(sk7)|spl0_12),
% 0.14/0.45 inference(resolution,[status(thm)],[f544,f291])).
% 0.14/0.45 fof(f556,plain,(
% 0.14/0.45 ~spl0_13|~spl0_14|spl0_12),
% 0.14/0.45 inference(split_clause,[status(thm)],[f555,f549,f552,f542])).
% 0.14/0.45 fof(f557,plain,(
% 0.14/0.45 $false|spl0_14),
% 0.14/0.45 inference(forward_subsumption_resolution,[status(thm)],[f554,f444])).
% 0.14/0.45 fof(f558,plain,(
% 0.14/0.45 spl0_14),
% 0.14/0.45 inference(contradiction_clause,[status(thm)],[f557])).
% 0.14/0.45 fof(f559,plain,(
% 0.14/0.45 spl0_15 <=> ssItem(sk6)),
% 0.14/0.45 introduced(split_symbol_definition)).
% 0.14/0.45 fof(f561,plain,(
% 0.14/0.45 ~ssItem(sk6)|spl0_15),
% 0.14/0.45 inference(component_clause,[status(thm)],[f559])).
% 0.14/0.45 fof(f562,plain,(
% 0.14/0.45 ~ssItem(sk6)|~ssList(nil)|spl0_11),
% 0.14/0.45 inference(resolution,[status(thm)],[f292,f541])).
% 0.14/0.45 fof(f563,plain,(
% 0.14/0.45 ~spl0_15|~spl0_10|spl0_11),
% 0.14/0.45 inference(split_clause,[status(thm)],[f562,f559,f534,f539])).
% 0.14/0.45 fof(f564,plain,(
% 0.14/0.45 spl0_16 <=> ssItem(sk5)),
% 0.14/0.45 introduced(split_symbol_definition)).
% 0.14/0.45 fof(f566,plain,(
% 0.14/0.45 ~ssItem(sk5)|spl0_16),
% 0.14/0.45 inference(component_clause,[status(thm)],[f564])).
% 0.14/0.45 fof(f567,plain,(
% 0.14/0.45 ~ssItem(sk5)|~ssList(nil)|spl0_13),
% 0.14/0.45 inference(resolution,[status(thm)],[f292,f551])).
% 0.14/0.45 fof(f568,plain,(
% 0.14/0.45 ~spl0_16|~spl0_10|spl0_13),
% 0.14/0.45 inference(split_clause,[status(thm)],[f567,f564,f534,f549])).
% 0.14/0.45 fof(f569,plain,(
% 0.14/0.45 $false|spl0_16),
% 0.14/0.45 inference(forward_subsumption_resolution,[status(thm)],[f566,f442])).
% 0.14/0.45 fof(f570,plain,(
% 0.14/0.45 spl0_16),
% 0.14/0.45 inference(contradiction_clause,[status(thm)],[f569])).
% 0.14/0.45 fof(f571,plain,(
% 0.14/0.45 $false|spl0_15),
% 0.14/0.45 inference(forward_subsumption_resolution,[status(thm)],[f561,f443])).
% 0.14/0.45 fof(f572,plain,(
% 0.14/0.45 spl0_15),
% 0.14/0.45 inference(contradiction_clause,[status(thm)],[f571])).
% 0.14/0.45 fof(f587,plain,(
% 0.14/0.45 cons(sk9,nil)=sk1|~spl0_5),
% 0.14/0.45 inference(backward_demodulation,[status(thm)],[f441,f477])).
% 0.14/0.45 fof(f610,plain,(
% 0.14/0.45 $false|spl0_10),
% 0.14/0.45 inference(forward_subsumption_resolution,[status(thm)],[f213,f536])).
% 0.14/0.45 fof(f611,plain,(
% 0.14/0.45 spl0_10),
% 0.14/0.45 inference(contradiction_clause,[status(thm)],[f610])).
% 0.14/0.45 fof(f617,plain,(
% 0.14/0.45 nil=sk3|~spl0_4),
% 0.14/0.45 inference(backward_demodulation,[status(thm)],[f522,f441])).
% 0.14/0.45 fof(f855,plain,(
% 0.14/0.45 spl0_51 <=> ~memberP(sk1,X0)|~ssItem(X0)|memberP(nil,X0)|X0=sk9),
% 0.14/0.45 introduced(split_symbol_definition)).
% 0.14/0.45 fof(f856,plain,(
% 0.14/0.45 ![X0]: (~memberP(sk1,X0)|~ssItem(X0)|memberP(nil,X0)|X0=sk9|~spl0_51)),
% 0.14/0.45 inference(component_clause,[status(thm)],[f855])).
% 0.14/0.45 fof(f858,plain,(
% 0.14/0.45 ![X0]: (~memberP(sk1,X0)|~ssList(nil)|~ssItem(sk9)|~ssItem(X0)|memberP(nil,X0)|X0=sk9|~spl0_5)),
% 0.14/0.45 inference(paramodulation,[status(thm)],[f587,f397])).
% 0.14/0.45 fof(f859,plain,(
% 0.14/0.45 spl0_51|~spl0_10|~spl0_2|~spl0_5),
% 0.14/0.45 inference(split_clause,[status(thm)],[f858,f855,f534,f465,f476])).
% 0.14/0.45 fof(f874,plain,(
% 0.14/0.45 ![X0]: (~memberP(sk1,X0)|~ssItem(X0)|X0=sk9|~spl0_51)),
% 0.14/0.45 inference(forward_subsumption_resolution,[status(thm)],[f856,f276])).
% 0.14/0.45 fof(f875,plain,(
% 0.14/0.45 spl0_53 <=> sk1=app(app(sk7,cons(sk5,nil)),app(cons(sk6,nil),sk8))),
% 0.14/0.45 introduced(split_symbol_definition)).
% 0.14/0.45 fof(f876,plain,(
% 0.14/0.45 sk1=app(app(sk7,cons(sk5,nil)),app(cons(sk6,nil),sk8))|~spl0_53),
% 0.14/0.45 inference(component_clause,[status(thm)],[f875])).
% 0.14/0.45 fof(f878,plain,(
% 0.14/0.45 ~ssList(sk8)|~ssList(cons(sk6,nil))|~ssList(app(sk7,cons(sk5,nil)))|sk1=app(app(sk7,cons(sk5,nil)),app(cons(sk6,nil),sk8))),
% 0.14/0.45 inference(paramodulation,[status(thm)],[f446,f374])).
% 0.14/0.45 fof(f879,plain,(
% 0.14/0.45 ~spl0_8|~spl0_11|~spl0_12|spl0_53),
% 0.14/0.45 inference(split_clause,[status(thm)],[f878,f528,f539,f542,f875])).
% 0.14/0.45 fof(f1067,plain,(
% 0.14/0.45 spl0_72 <=> ssList(app(cons(sk6,nil),sk8))),
% 0.14/0.45 introduced(split_symbol_definition)).
% 0.14/0.45 fof(f1069,plain,(
% 0.14/0.45 ~ssList(app(cons(sk6,nil),sk8))|spl0_72),
% 0.14/0.45 inference(component_clause,[status(thm)],[f1067])).
% 0.14/0.45 fof(f1109,plain,(
% 0.14/0.45 spl0_80 <=> ~memberP(app(cons(sk6,nil),sk8),X0)|~ssItem(X0)|memberP(sk1,X0)),
% 0.14/0.45 introduced(split_symbol_definition)).
% 0.14/0.45 fof(f1110,plain,(
% 0.14/0.45 ![X0]: (~memberP(app(cons(sk6,nil),sk8),X0)|~ssItem(X0)|memberP(sk1,X0)|~spl0_80)),
% 0.14/0.45 inference(component_clause,[status(thm)],[f1109])).
% 0.14/0.45 fof(f1112,plain,(
% 0.14/0.45 ![X0]: (~memberP(app(cons(sk6,nil),sk8),X0)|~ssList(app(cons(sk6,nil),sk8))|~ssList(app(sk7,cons(sk5,nil)))|~ssItem(X0)|memberP(sk1,X0)|~spl0_53)),
% 0.14/0.45 inference(paramodulation,[status(thm)],[f876,f361])).
% 0.14/0.45 fof(f1113,plain,(
% 0.14/0.45 spl0_80|~spl0_72|~spl0_12|~spl0_53),
% 0.14/0.45 inference(split_clause,[status(thm)],[f1112,f1109,f1067,f542,f875])).
% 0.14/0.45 fof(f1114,plain,(
% 0.14/0.45 spl0_81 <=> ~memberP(app(sk7,cons(sk5,nil)),X0)|~ssItem(X0)|memberP(sk1,X0)),
% 0.14/0.45 introduced(split_symbol_definition)).
% 0.14/0.45 fof(f1115,plain,(
% 0.14/0.45 ![X0]: (~memberP(app(sk7,cons(sk5,nil)),X0)|~ssItem(X0)|memberP(sk1,X0)|~spl0_81)),
% 0.14/0.45 inference(component_clause,[status(thm)],[f1114])).
% 0.14/0.45 fof(f1117,plain,(
% 0.14/0.45 ![X0]: (~memberP(app(sk7,cons(sk5,nil)),X0)|~ssList(app(cons(sk6,nil),sk8))|~ssList(app(sk7,cons(sk5,nil)))|~ssItem(X0)|memberP(sk1,X0)|~spl0_53)),
% 0.14/0.45 inference(paramodulation,[status(thm)],[f876,f360])).
% 0.14/0.45 fof(f1118,plain,(
% 0.14/0.45 spl0_81|~spl0_72|~spl0_12|~spl0_53),
% 0.14/0.45 inference(split_clause,[status(thm)],[f1117,f1114,f1067,f542,f875])).
% 0.14/0.45 fof(f1121,plain,(
% 0.14/0.45 ~ssList(sk8)|~ssList(cons(sk6,nil))|spl0_72),
% 0.14/0.45 inference(resolution,[status(thm)],[f1069,f291])).
% 0.14/0.45 fof(f1122,plain,(
% 0.14/0.45 ~spl0_8|~spl0_11|spl0_72),
% 0.14/0.45 inference(split_clause,[status(thm)],[f1121,f528,f539,f1067])).
% 0.14/0.45 fof(f1129,plain,(
% 0.14/0.45 spl0_83 <=> ~ssItem(X0)|memberP(sk1,X0)|~memberP(cons(sk6,nil),X0)|~ssItem(X0)),
% 0.14/0.45 introduced(split_symbol_definition)).
% 0.14/0.45 fof(f1130,plain,(
% 0.14/0.45 ![X0]: (~ssItem(X0)|memberP(sk1,X0)|~memberP(cons(sk6,nil),X0)|~ssItem(X0)|~spl0_83)),
% 0.14/0.45 inference(component_clause,[status(thm)],[f1129])).
% 0.14/0.45 fof(f1132,plain,(
% 0.14/0.45 ![X0]: (~ssItem(X0)|memberP(sk1,X0)|~memberP(cons(sk6,nil),X0)|~ssList(sk8)|~ssList(cons(sk6,nil))|~ssItem(X0)|~spl0_80)),
% 0.14/0.45 inference(resolution,[status(thm)],[f1110,f360])).
% 0.14/0.45 fof(f1133,plain,(
% 0.14/0.45 spl0_83|~spl0_8|~spl0_11|~spl0_80),
% 0.14/0.45 inference(split_clause,[status(thm)],[f1132,f1129,f528,f539,f1109])).
% 0.14/0.45 fof(f1134,plain,(
% 0.14/0.45 ![X0]: (~ssItem(X0)|memberP(sk1,X0)|~memberP(cons(sk6,nil),X0)|~spl0_83)),
% 0.14/0.45 inference(duplicate_literals_removal,[status(esa)],[f1130])).
% 0.14/0.45 fof(f1140,plain,(
% 0.14/0.45 spl0_85 <=> memberP(sk1,sk6)),
% 0.14/0.45 introduced(split_symbol_definition)).
% 0.14/0.45 fof(f1141,plain,(
% 0.14/0.45 memberP(sk1,sk6)|~spl0_85),
% 0.14/0.45 inference(component_clause,[status(thm)],[f1140])).
% 0.14/0.45 fof(f1143,plain,(
% 0.14/0.45 ~ssItem(sk6)|memberP(sk1,sk6)|~ssList(nil)|~ssItem(sk6)|~spl0_83),
% 0.14/0.45 inference(resolution,[status(thm)],[f1134,f504])).
% 0.14/0.45 fof(f1144,plain,(
% 0.14/0.45 ~spl0_15|spl0_85|~spl0_10|~spl0_83),
% 0.14/0.45 inference(split_clause,[status(thm)],[f1143,f559,f1140,f534,f1129])).
% 0.14/0.45 fof(f1146,plain,(
% 0.14/0.45 spl0_86 <=> sk6=sk9),
% 0.14/0.45 introduced(split_symbol_definition)).
% 0.14/0.45 fof(f1147,plain,(
% 0.14/0.45 sk6=sk9|~spl0_86),
% 0.14/0.45 inference(component_clause,[status(thm)],[f1146])).
% 0.14/0.45 fof(f1149,plain,(
% 0.14/0.45 ~ssItem(sk6)|sk6=sk9|~spl0_85|~spl0_51),
% 0.14/0.45 inference(resolution,[status(thm)],[f1141,f874])).
% 0.14/0.45 fof(f1150,plain,(
% 0.14/0.45 ~spl0_15|spl0_86|~spl0_85|~spl0_51),
% 0.14/0.45 inference(split_clause,[status(thm)],[f1149,f559,f1146,f1140,f855])).
% 0.14/0.45 fof(f1192,plain,(
% 0.14/0.45 ![X0]: (~memberP(sk1,X0)|~ssItem(X0)|X0=sk6|~spl0_86|~spl0_51)),
% 0.14/0.45 inference(backward_demodulation,[status(thm)],[f1147,f874])).
% 0.14/0.45 fof(f1480,plain,(
% 0.14/0.45 spl0_133 <=> memberP(sk1,sk5)),
% 0.14/0.45 introduced(split_symbol_definition)).
% 0.14/0.45 fof(f1481,plain,(
% 0.14/0.45 memberP(sk1,sk5)|~spl0_133),
% 0.14/0.45 inference(component_clause,[status(thm)],[f1480])).
% 0.14/0.45 fof(f1483,plain,(
% 0.14/0.45 ~ssItem(sk5)|memberP(sk1,sk5)|~ssList(nil)|~ssList(sk7)|~ssItem(sk5)|~ssList(app(sk7,cons(sk5,nil)))|~spl0_81),
% 0.14/0.45 inference(resolution,[status(thm)],[f1115,f510])).
% 0.14/0.45 fof(f1484,plain,(
% 0.14/0.45 ~spl0_16|spl0_133|~spl0_10|~spl0_14|~spl0_12|~spl0_81),
% 0.14/0.45 inference(split_clause,[status(thm)],[f1483,f564,f1480,f534,f552,f542,f1114])).
% 0.14/0.45 fof(f1496,plain,(
% 0.14/0.45 spl0_136 <=> sk5=sk6),
% 0.14/0.45 introduced(split_symbol_definition)).
% 0.14/0.45 fof(f1497,plain,(
% 0.14/0.45 sk5=sk6|~spl0_136),
% 0.14/0.45 inference(component_clause,[status(thm)],[f1496])).
% 0.14/0.45 fof(f1499,plain,(
% 0.14/0.45 ~ssItem(sk5)|sk5=sk6|~spl0_133|~spl0_86|~spl0_51),
% 0.14/0.45 inference(resolution,[status(thm)],[f1481,f1192])).
% 0.14/0.45 fof(f1500,plain,(
% 0.14/0.45 ~spl0_16|spl0_136|~spl0_133|~spl0_86|~spl0_51),
% 0.14/0.45 inference(split_clause,[status(thm)],[f1499,f564,f1496,f1480,f1146,f855])).
% 0.14/0.45 fof(f1501,plain,(
% 0.14/0.45 $false|~spl0_136),
% 0.14/0.45 inference(forward_subsumption_resolution,[status(thm)],[f1497,f447])).
% 0.14/0.45 fof(f1502,plain,(
% 0.14/0.45 ~spl0_136),
% 0.14/0.45 inference(contradiction_clause,[status(thm)],[f1501])).
% 0.14/0.45 fof(f1504,plain,(
% 0.14/0.45 nil=sk1|~spl0_4),
% 0.14/0.45 inference(forward_demodulation,[status(thm)],[f441,f617])).
% 0.14/0.45 fof(f1522,plain,(
% 0.14/0.45 memberP(nil,sk5)|~spl0_4|~spl0_133),
% 0.14/0.45 inference(backward_demodulation,[status(thm)],[f1504,f1481])).
% 0.14/0.45 fof(f1527,plain,(
% 0.14/0.45 ~ssItem(sk5)|~spl0_4|~spl0_133),
% 0.14/0.45 inference(resolution,[status(thm)],[f1522,f276])).
% 0.14/0.45 fof(f1528,plain,(
% 0.14/0.45 ~spl0_16|~spl0_4|~spl0_133),
% 0.14/0.45 inference(split_clause,[status(thm)],[f1527,f564,f472,f1480])).
% 0.14/0.45 fof(f1529,plain,(
% 0.14/0.45 $false),
% 0.14/0.45 inference(sat_refutation,[status(thm)],[f475,f488,f548,f556,f558,f563,f568,f570,f572,f611,f859,f879,f1113,f1118,f1122,f1133,f1144,f1150,f1484,f1500,f1502,f1528])).
% 0.14/0.45 % SZS output end CNFRefutation for theBenchmark.p
% 0.14/0.46 % Elapsed time: 0.157808 seconds
% 0.14/0.46 % CPU time: 0.640717 seconds
% 0.14/0.46 % Memory used: 70.734 MB
%------------------------------------------------------------------------------