TSTP Solution File: SWC187-1 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : SWC187-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n017.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 20:44:52 EDT 2024
% Result : Unsatisfiable 12.34s 1.94s
% Output : CNFRefutation 12.89s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.09 % Problem : SWC187-1 : TPTP v8.1.2. Released v2.4.0.
% 0.09/0.10 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.09/0.30 % Computer : n017.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 : Mon Apr 29 23:44:18 EDT 2024
% 0.09/0.30 % CPUTime :
% 0.15/0.31 % Drodi V3.6.0
% 12.34/1.94 % Refutation found
% 12.34/1.94 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 12.34/1.94 % SZS output start CNFRefutation for theBenchmark
% 12.34/1.94 fof(f8,axiom,(
% 12.34/1.94 ssList(nil) ),
% 12.34/1.94 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 12.34/1.94 fof(f71,axiom,(
% 12.34/1.94 (![U]: (( ~ memberP(nil,U)| ~ ssItem(U) ) ))),
% 12.34/1.94 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 12.34/1.94 fof(f73,axiom,(
% 12.34/1.94 (![U]: (( ~ ssList(U)| app(U,nil) = U ) ))),
% 12.34/1.94 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 12.34/1.94 fof(f74,axiom,(
% 12.34/1.94 (![U]: (( ~ ssList(U)| app(nil,U) = U ) ))),
% 12.34/1.94 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 12.34/1.94 fof(f85,axiom,(
% 12.34/1.94 (![U,V]: (( ~ ssList(U)| ~ ssList(V)| ssList(app(V,U)) ) ))),
% 12.34/1.94 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 12.34/1.94 fof(f86,axiom,(
% 12.34/1.94 (![U,V]: (( ~ ssItem(U)| ~ ssList(V)| ssList(cons(U,V)) ) ))),
% 12.34/1.94 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 12.34/1.94 fof(f127,axiom,(
% 12.34/1.94 (![U,V]: (( ~ segmentP(U,V)| ~ segmentP(V,U)| ~ ssList(U)| ~ ssList(V)| V = U ) ))),
% 12.34/1.94 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 12.34/1.94 fof(f138,axiom,(
% 12.34/1.94 (![U,V,W]: (( U != V| ~ ssList(W)| ~ ssItem(V)| ~ ssItem(U)| memberP(cons(V,W),U) ) ))),
% 12.34/1.94 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 12.34/1.94 fof(f140,axiom,(
% 12.34/1.94 (![U,V,W]: (( ~ memberP(U,V)| ~ ssList(W)| ~ ssList(U)| ~ ssItem(V)| memberP(app(U,W),V) ) ))),
% 12.34/1.94 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 12.34/1.94 fof(f141,axiom,(
% 12.34/1.94 (![U,V,W]: (( ~ memberP(U,V)| ~ ssList(U)| ~ ssList(W)| ~ ssItem(V)| memberP(app(W,U),V) ) ))),
% 12.34/1.94 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 12.34/1.94 fof(f149,axiom,(
% 12.34/1.94 (![U,V,W]: (( ~ ssList(U)| ~ ssList(V)| ~ ssList(W)| app(app(W,V),U) = app(W,app(V,U)) ) ))),
% 12.34/1.94 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 12.34/1.94 fof(f150,axiom,(
% 12.34/1.94 (![U,V,W]: (( app(U,V) != app(U,W)| ~ ssList(V)| ~ ssList(U)| ~ ssList(W)| V = W ) ))),
% 12.34/1.94 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 12.34/1.94 fof(f151,axiom,(
% 12.34/1.94 (![U,V,W]: (( app(U,V) != app(W,V)| ~ ssList(U)| ~ ssList(V)| ~ ssList(W)| U = W ) ))),
% 12.34/1.94 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 12.34/1.94 fof(f161,axiom,(
% 12.34/1.94 (![U,V,W]: (( ~ memberP(cons(U,V),W)| ~ ssList(V)| ~ ssItem(U)| ~ ssItem(W)| memberP(V,W)| W = U ) ))),
% 12.34/1.94 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 12.34/1.94 fof(f173,axiom,(
% 12.34/1.94 (![U,V,W,X]: (( app(app(U,V),W) != X| ~ ssList(W)| ~ ssList(U)| ~ ssList(V)| ~ ssList(X)| segmentP(X,V) ) ))),
% 12.34/1.94 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 12.34/1.94 fof(f186,negated_conjecture,(
% 12.34/1.94 ssList(sk1) ),
% 12.34/1.94 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 12.34/1.94 fof(f191,negated_conjecture,(
% 12.34/1.94 sk1 = sk3 ),
% 12.34/1.94 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 12.34/1.94 fof(f192,negated_conjecture,(
% 12.34/1.94 ssItem(sk5) ),
% 12.34/1.94 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 12.34/1.94 fof(f193,negated_conjecture,(
% 12.34/1.94 ssList(sk6) ),
% 12.34/1.94 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 12.34/1.94 fof(f194,negated_conjecture,(
% 12.34/1.94 ssList(sk7) ),
% 12.34/1.94 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 12.34/1.94 fof(f195,negated_conjecture,(
% 12.34/1.94 app(app(sk6,cons(sk5,nil)),sk7) = sk1 ),
% 12.34/1.94 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 12.34/1.94 fof(f196,negated_conjecture,(
% 12.34/1.94 ( memberP(sk6,sk5)| memberP(sk7,sk5) ) ),
% 12.34/1.94 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 12.34/1.94 fof(f198,negated_conjecture,(
% 12.34/1.94 ( ssItem(sk8)| nil = sk3 ) ),
% 12.34/1.94 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 12.34/1.94 fof(f201,negated_conjecture,(
% 12.34/1.94 ( cons(sk8,nil) = sk3| nil = sk3 ) ),
% 12.34/1.94 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 12.34/1.94 fof(f210,plain,(
% 12.34/1.94 ssList(nil)),
% 12.34/1.94 inference(cnf_transformation,[status(esa)],[f8])).
% 12.34/1.94 fof(f273,plain,(
% 12.34/1.94 ![X0]: (~memberP(nil,X0)|~ssItem(X0))),
% 12.34/1.94 inference(cnf_transformation,[status(esa)],[f71])).
% 12.34/1.94 fof(f276,plain,(
% 12.34/1.94 ![X0]: (~ssList(X0)|app(X0,nil)=X0)),
% 12.34/1.94 inference(cnf_transformation,[status(esa)],[f73])).
% 12.34/1.94 fof(f277,plain,(
% 12.34/1.94 ![X0]: (~ssList(X0)|app(nil,X0)=X0)),
% 12.34/1.94 inference(cnf_transformation,[status(esa)],[f74])).
% 12.34/1.94 fof(f288,plain,(
% 12.34/1.94 ![X0,X1]: (~ssList(X0)|~ssList(X1)|ssList(app(X1,X0)))),
% 12.34/1.94 inference(cnf_transformation,[status(esa)],[f85])).
% 12.34/1.94 fof(f289,plain,(
% 12.89/1.96 ![X0,X1]: (~ssItem(X0)|~ssList(X1)|ssList(cons(X0,X1)))),
% 12.89/1.96 inference(cnf_transformation,[status(esa)],[f86])).
% 12.89/1.96 fof(f342,plain,(
% 12.89/1.96 ![X0,X1]: (~segmentP(X0,X1)|~segmentP(X1,X0)|~ssList(X0)|~ssList(X1)|X1=X0)),
% 12.89/1.96 inference(cnf_transformation,[status(esa)],[f127])).
% 12.89/1.96 fof(f355,plain,(
% 12.89/1.96 ![X0,X1,X2]: (~X0=X1|~ssList(X2)|~ssItem(X1)|~ssItem(X0)|memberP(cons(X1,X2),X0))),
% 12.89/1.96 inference(cnf_transformation,[status(esa)],[f138])).
% 12.89/1.96 fof(f357,plain,(
% 12.89/1.96 ![X0,X1,X2]: (~memberP(X0,X1)|~ssList(X2)|~ssList(X0)|~ssItem(X1)|memberP(app(X0,X2),X1))),
% 12.89/1.96 inference(cnf_transformation,[status(esa)],[f140])).
% 12.89/1.96 fof(f358,plain,(
% 12.89/1.96 ![X0,X1,X2]: (~memberP(X0,X1)|~ssList(X0)|~ssList(X2)|~ssItem(X1)|memberP(app(X2,X0),X1))),
% 12.89/1.96 inference(cnf_transformation,[status(esa)],[f141])).
% 12.89/1.96 fof(f371,plain,(
% 12.89/1.96 ![X0,X1,X2]: (~ssList(X0)|~ssList(X1)|~ssList(X2)|app(app(X2,X1),X0)=app(X2,app(X1,X0)))),
% 12.89/1.96 inference(cnf_transformation,[status(esa)],[f149])).
% 12.89/1.96 fof(f372,plain,(
% 12.89/1.96 ![V,W]: (((![U]: ((~app(U,V)=app(U,W)|~ssList(V))|~ssList(U)))|~ssList(W))|V=W)),
% 12.89/1.96 inference(miniscoping,[status(esa)],[f150])).
% 12.89/1.96 fof(f373,plain,(
% 12.89/1.96 ![X0,X1,X2]: (~app(X0,X1)=app(X0,X2)|~ssList(X1)|~ssList(X0)|~ssList(X2)|X1=X2)),
% 12.89/1.96 inference(cnf_transformation,[status(esa)],[f372])).
% 12.89/1.96 fof(f374,plain,(
% 12.89/1.96 ![U,W]: (((![V]: ((~app(U,V)=app(W,V)|~ssList(U))|~ssList(V)))|~ssList(W))|U=W)),
% 12.89/1.96 inference(miniscoping,[status(esa)],[f151])).
% 12.89/1.96 fof(f375,plain,(
% 12.89/1.96 ![X0,X1,X2]: (~app(X0,X1)=app(X2,X1)|~ssList(X0)|~ssList(X1)|~ssList(X2)|X0=X2)),
% 12.89/1.96 inference(cnf_transformation,[status(esa)],[f374])).
% 12.89/1.96 fof(f393,plain,(
% 12.89/1.96 ![U,W]: ((![V]: ((((~memberP(cons(U,V),W)|~ssList(V))|~ssItem(U))|~ssItem(W))|memberP(V,W)))|W=U)),
% 12.89/1.96 inference(miniscoping,[status(esa)],[f161])).
% 12.89/1.96 fof(f394,plain,(
% 12.89/1.96 ![X0,X1,X2]: (~memberP(cons(X0,X1),X2)|~ssList(X1)|~ssItem(X0)|~ssItem(X2)|memberP(X1,X2)|X2=X0)),
% 12.89/1.96 inference(cnf_transformation,[status(esa)],[f393])).
% 12.89/1.96 fof(f408,plain,(
% 12.89/1.96 ![V,X]: ((((![U]: ((![W]: (~app(app(U,V),W)=X|~ssList(W)))|~ssList(U)))|~ssList(V))|~ssList(X))|segmentP(X,V))),
% 12.89/1.96 inference(miniscoping,[status(esa)],[f173])).
% 12.89/1.96 fof(f409,plain,(
% 12.89/1.96 ![X0,X1,X2,X3]: (~app(app(X0,X1),X2)=X3|~ssList(X2)|~ssList(X0)|~ssList(X1)|~ssList(X3)|segmentP(X3,X1))),
% 12.89/1.96 inference(cnf_transformation,[status(esa)],[f408])).
% 12.89/1.96 fof(f433,plain,(
% 12.89/1.96 ssList(sk1)),
% 12.89/1.96 inference(cnf_transformation,[status(esa)],[f186])).
% 12.89/1.96 fof(f438,plain,(
% 12.89/1.96 sk1=sk3),
% 12.89/1.96 inference(cnf_transformation,[status(esa)],[f191])).
% 12.89/1.96 fof(f439,plain,(
% 12.89/1.96 ssItem(sk5)),
% 12.89/1.96 inference(cnf_transformation,[status(esa)],[f192])).
% 12.89/1.96 fof(f440,plain,(
% 12.89/1.96 ssList(sk6)),
% 12.89/1.96 inference(cnf_transformation,[status(esa)],[f193])).
% 12.89/1.96 fof(f441,plain,(
% 12.89/1.96 ssList(sk7)),
% 12.89/1.96 inference(cnf_transformation,[status(esa)],[f194])).
% 12.89/1.96 fof(f442,plain,(
% 12.89/1.96 app(app(sk6,cons(sk5,nil)),sk7)=sk1),
% 12.89/1.96 inference(cnf_transformation,[status(esa)],[f195])).
% 12.89/1.96 fof(f443,plain,(
% 12.89/1.96 memberP(sk6,sk5)|memberP(sk7,sk5)),
% 12.89/1.96 inference(cnf_transformation,[status(esa)],[f196])).
% 12.89/1.96 fof(f445,plain,(
% 12.89/1.96 ssItem(sk8)|nil=sk3),
% 12.89/1.96 inference(cnf_transformation,[status(esa)],[f198])).
% 12.89/1.96 fof(f448,plain,(
% 12.89/1.96 cons(sk8,nil)=sk3|nil=sk3),
% 12.89/1.96 inference(cnf_transformation,[status(esa)],[f201])).
% 12.89/1.96 fof(f457,plain,(
% 12.89/1.96 spl0_2 <=> memberP(sk6,sk5)),
% 12.89/1.96 introduced(split_symbol_definition)).
% 12.89/1.96 fof(f458,plain,(
% 12.89/1.96 memberP(sk6,sk5)|~spl0_2),
% 12.89/1.96 inference(component_clause,[status(thm)],[f457])).
% 12.89/1.96 fof(f460,plain,(
% 12.89/1.96 spl0_3 <=> memberP(sk7,sk5)),
% 12.89/1.96 introduced(split_symbol_definition)).
% 12.89/1.96 fof(f461,plain,(
% 12.89/1.96 memberP(sk7,sk5)|~spl0_3),
% 12.89/1.96 inference(component_clause,[status(thm)],[f460])).
% 12.89/1.96 fof(f463,plain,(
% 12.89/1.96 spl0_2|spl0_3),
% 12.89/1.96 inference(split_clause,[status(thm)],[f443,f457,f460])).
% 12.89/1.96 fof(f464,plain,(
% 12.89/1.96 spl0_4 <=> ssItem(sk8)),
% 12.89/1.96 introduced(split_symbol_definition)).
% 12.89/1.96 fof(f471,plain,(
% 12.89/1.96 spl0_6 <=> nil=sk3),
% 12.89/1.96 introduced(split_symbol_definition)).
% 12.89/1.96 fof(f472,plain,(
% 12.89/1.96 nil=sk3|~spl0_6),
% 12.89/1.96 inference(component_clause,[status(thm)],[f471])).
% 12.89/1.96 fof(f474,plain,(
% 12.89/1.96 spl0_4|spl0_6),
% 12.89/1.96 inference(split_clause,[status(thm)],[f445,f464,f471])).
% 12.89/1.96 fof(f475,plain,(
% 12.89/1.96 spl0_7 <=> cons(sk8,nil)=sk3),
% 12.89/1.96 introduced(split_symbol_definition)).
% 12.89/1.96 fof(f476,plain,(
% 12.89/1.96 cons(sk8,nil)=sk3|~spl0_7),
% 12.89/1.96 inference(component_clause,[status(thm)],[f475])).
% 12.89/1.96 fof(f483,plain,(
% 12.89/1.96 spl0_7|spl0_6),
% 12.89/1.96 inference(split_clause,[status(thm)],[f448,f475,f471])).
% 12.89/1.96 fof(f491,plain,(
% 12.89/1.96 ![X2,X1]: (~ssList(X2)|~ssItem(X1)|~ssItem(X1)|memberP(cons(X1,X2),X1))),
% 12.89/1.96 inference(destructive_equality_resolution,[status(esa)],[f355])).
% 12.89/1.96 fof(f492,plain,(
% 12.89/1.96 ![X0,X1]: (~ssList(X0)|~ssItem(X1)|memberP(cons(X1,X0),X1))),
% 12.89/1.96 inference(duplicate_literals_removal,[status(esa)],[f491])).
% 12.89/1.96 fof(f497,plain,(
% 12.89/1.96 sk1=nil|~spl0_6),
% 12.89/1.96 inference(backward_demodulation,[status(thm)],[f472,f438])).
% 12.89/1.96 fof(f501,plain,(
% 12.89/1.96 spl0_9 <=> ssList(sk7)),
% 12.89/1.96 introduced(split_symbol_definition)).
% 12.89/1.96 fof(f503,plain,(
% 12.89/1.96 ~ssList(sk7)|spl0_9),
% 12.89/1.96 inference(component_clause,[status(thm)],[f501])).
% 12.89/1.96 fof(f504,plain,(
% 12.89/1.96 spl0_10 <=> ssList(app(sk6,cons(sk5,nil)))),
% 12.89/1.96 introduced(split_symbol_definition)).
% 12.89/1.96 fof(f506,plain,(
% 12.89/1.96 ~ssList(app(sk6,cons(sk5,nil)))|spl0_10),
% 12.89/1.96 inference(component_clause,[status(thm)],[f504])).
% 12.89/1.96 fof(f507,plain,(
% 12.89/1.96 spl0_11 <=> ssList(nil)),
% 12.89/1.96 introduced(split_symbol_definition)).
% 12.89/1.96 fof(f509,plain,(
% 12.89/1.96 ~ssList(nil)|spl0_11),
% 12.89/1.96 inference(component_clause,[status(thm)],[f507])).
% 12.89/1.96 fof(f516,plain,(
% 12.89/1.96 cons(sk8,nil)=sk1|~spl0_7),
% 12.89/1.96 inference(backward_demodulation,[status(thm)],[f438,f476])).
% 12.89/1.96 fof(f517,plain,(
% 12.89/1.96 spl0_12 <=> sk1=nil),
% 12.89/1.96 introduced(split_symbol_definition)).
% 12.89/1.96 fof(f518,plain,(
% 12.89/1.96 sk1=nil|~spl0_12),
% 12.89/1.96 inference(component_clause,[status(thm)],[f517])).
% 12.89/1.96 fof(f519,plain,(
% 12.89/1.96 ~sk1=nil|spl0_12),
% 12.89/1.96 inference(component_clause,[status(thm)],[f517])).
% 12.89/1.96 fof(f522,plain,(
% 12.89/1.96 $false|spl0_9),
% 12.89/1.96 inference(forward_subsumption_resolution,[status(thm)],[f503,f441])).
% 12.89/1.96 fof(f523,plain,(
% 12.89/1.96 spl0_9),
% 12.89/1.96 inference(contradiction_clause,[status(thm)],[f522])).
% 12.89/1.96 fof(f526,plain,(
% 12.89/1.96 spl0_13 <=> ssList(sk1)),
% 12.89/1.96 introduced(split_symbol_definition)).
% 12.89/1.96 fof(f529,plain,(
% 12.89/1.96 ~ssList(sk7)|~ssList(app(sk6,cons(sk5,nil)))|ssList(sk1)),
% 12.89/1.96 inference(paramodulation,[status(thm)],[f442,f288])).
% 12.89/1.96 fof(f530,plain,(
% 12.89/1.96 ~spl0_9|~spl0_10|spl0_13),
% 12.89/1.96 inference(split_clause,[status(thm)],[f529,f501,f504,f526])).
% 12.89/1.96 fof(f535,plain,(
% 12.89/1.96 spl0_14 <=> ssList(cons(sk5,nil))),
% 12.89/1.96 introduced(split_symbol_definition)).
% 12.89/1.96 fof(f537,plain,(
% 12.89/1.96 ~ssList(cons(sk5,nil))|spl0_14),
% 12.89/1.96 inference(component_clause,[status(thm)],[f535])).
% 12.89/1.96 fof(f538,plain,(
% 12.89/1.96 spl0_15 <=> ssList(sk6)),
% 12.89/1.96 introduced(split_symbol_definition)).
% 12.89/1.96 fof(f540,plain,(
% 12.89/1.96 ~ssList(sk6)|spl0_15),
% 12.89/1.96 inference(component_clause,[status(thm)],[f538])).
% 12.89/1.96 fof(f541,plain,(
% 12.89/1.96 ~ssList(cons(sk5,nil))|~ssList(sk6)|spl0_10),
% 12.89/1.96 inference(resolution,[status(thm)],[f506,f288])).
% 12.89/1.96 fof(f542,plain,(
% 12.89/1.96 ~spl0_14|~spl0_15|spl0_10),
% 12.89/1.96 inference(split_clause,[status(thm)],[f541,f535,f538,f504])).
% 12.89/1.96 fof(f545,plain,(
% 12.89/1.96 spl0_16 <=> ssItem(sk5)),
% 12.89/1.96 introduced(split_symbol_definition)).
% 12.89/1.96 fof(f547,plain,(
% 12.89/1.96 ~ssItem(sk5)|spl0_16),
% 12.89/1.96 inference(component_clause,[status(thm)],[f545])).
% 12.89/1.96 fof(f548,plain,(
% 12.89/1.96 ~ssItem(sk5)|~ssList(nil)|spl0_14),
% 12.89/1.96 inference(resolution,[status(thm)],[f289,f537])).
% 12.89/1.96 fof(f549,plain,(
% 12.89/1.96 ~spl0_16|~spl0_11|spl0_14),
% 12.89/1.96 inference(split_clause,[status(thm)],[f548,f545,f507,f535])).
% 12.89/1.96 fof(f550,plain,(
% 12.89/1.96 $false|spl0_15),
% 12.89/1.96 inference(forward_subsumption_resolution,[status(thm)],[f540,f440])).
% 12.89/1.96 fof(f551,plain,(
% 12.89/1.96 spl0_15),
% 12.89/1.96 inference(contradiction_clause,[status(thm)],[f550])).
% 12.89/1.96 fof(f552,plain,(
% 12.89/1.96 $false|spl0_16),
% 12.89/1.96 inference(forward_subsumption_resolution,[status(thm)],[f547,f439])).
% 12.89/1.96 fof(f553,plain,(
% 12.89/1.96 spl0_16),
% 12.89/1.96 inference(contradiction_clause,[status(thm)],[f552])).
% 12.89/1.96 fof(f557,plain,(
% 12.89/1.96 $false|spl0_11),
% 12.89/1.96 inference(forward_subsumption_resolution,[status(thm)],[f210,f509])).
% 12.89/1.96 fof(f558,plain,(
% 12.89/1.96 spl0_11),
% 12.89/1.96 inference(contradiction_clause,[status(thm)],[f557])).
% 12.89/1.96 fof(f576,plain,(
% 12.89/1.96 spl0_19 <=> nil=sk7),
% 12.89/1.96 introduced(split_symbol_definition)).
% 12.89/1.96 fof(f577,plain,(
% 12.89/1.96 nil=sk7|~spl0_19),
% 12.89/1.96 inference(component_clause,[status(thm)],[f576])).
% 12.89/1.96 fof(f623,plain,(
% 12.89/1.96 spl0_23 <=> ~memberP(app(sk6,cons(sk5,nil)),X0)|~ssItem(X0)|memberP(sk1,X0)),
% 12.89/1.96 introduced(split_symbol_definition)).
% 12.89/1.96 fof(f624,plain,(
% 12.89/1.96 ![X0]: (~memberP(app(sk6,cons(sk5,nil)),X0)|~ssItem(X0)|memberP(sk1,X0)|~spl0_23)),
% 12.89/1.96 inference(component_clause,[status(thm)],[f623])).
% 12.89/1.96 fof(f626,plain,(
% 12.89/1.96 ![X0]: (~memberP(app(sk6,cons(sk5,nil)),X0)|~ssList(sk7)|~ssList(app(sk6,cons(sk5,nil)))|~ssItem(X0)|memberP(sk1,X0))),
% 12.89/1.96 inference(paramodulation,[status(thm)],[f442,f357])).
% 12.89/1.96 fof(f627,plain,(
% 12.89/1.96 spl0_23|~spl0_9|~spl0_10),
% 12.89/1.96 inference(split_clause,[status(thm)],[f626,f623,f501,f504])).
% 12.89/1.96 fof(f658,plain,(
% 12.89/1.96 ~nil=nil|~spl0_6|spl0_12),
% 12.89/1.96 inference(forward_demodulation,[status(thm)],[f497,f519])).
% 12.89/1.96 fof(f659,plain,(
% 12.89/1.96 $false|~spl0_6|spl0_12),
% 12.89/1.96 inference(trivial_equality_resolution,[status(esa)],[f658])).
% 12.89/1.96 fof(f660,plain,(
% 12.89/1.96 ~spl0_6|spl0_12),
% 12.89/1.96 inference(contradiction_clause,[status(thm)],[f659])).
% 12.89/1.96 fof(f666,plain,(
% 12.89/1.96 spl0_29 <=> ~memberP(sk1,X0)|~ssItem(X0)|memberP(nil,X0)|X0=sk8),
% 12.89/1.96 introduced(split_symbol_definition)).
% 12.89/1.96 fof(f667,plain,(
% 12.89/1.96 ![X0]: (~memberP(sk1,X0)|~ssItem(X0)|memberP(nil,X0)|X0=sk8|~spl0_29)),
% 12.89/1.96 inference(component_clause,[status(thm)],[f666])).
% 12.89/1.96 fof(f669,plain,(
% 12.89/1.96 ![X0]: (~memberP(sk1,X0)|~ssList(nil)|~ssItem(sk8)|~ssItem(X0)|memberP(nil,X0)|X0=sk8|~spl0_7)),
% 12.89/1.96 inference(paramodulation,[status(thm)],[f516,f394])).
% 12.89/1.96 fof(f670,plain,(
% 12.89/1.96 spl0_29|~spl0_11|~spl0_4|~spl0_7),
% 12.89/1.96 inference(split_clause,[status(thm)],[f669,f666,f507,f464,f475])).
% 12.89/1.96 fof(f687,plain,(
% 12.89/1.96 ![X0]: (~memberP(sk1,X0)|~ssItem(X0)|X0=sk8|~spl0_29)),
% 12.89/1.96 inference(forward_subsumption_resolution,[status(thm)],[f667,f273])).
% 12.89/1.96 fof(f1067,plain,(
% 12.89/1.96 spl0_80 <=> ~ssItem(X0)|memberP(sk1,X0)|~memberP(cons(sk5,nil),X0)|~ssItem(X0)),
% 12.89/1.96 introduced(split_symbol_definition)).
% 12.89/1.96 fof(f1068,plain,(
% 12.89/1.96 ![X0]: (~ssItem(X0)|memberP(sk1,X0)|~memberP(cons(sk5,nil),X0)|~ssItem(X0)|~spl0_80)),
% 12.89/1.96 inference(component_clause,[status(thm)],[f1067])).
% 12.89/1.96 fof(f1070,plain,(
% 12.89/1.96 ![X0]: (~ssItem(X0)|memberP(sk1,X0)|~memberP(cons(sk5,nil),X0)|~ssList(cons(sk5,nil))|~ssList(sk6)|~ssItem(X0)|~spl0_23)),
% 12.89/1.96 inference(resolution,[status(thm)],[f624,f358])).
% 12.89/1.96 fof(f1071,plain,(
% 12.89/1.96 spl0_80|~spl0_14|~spl0_15|~spl0_23),
% 12.89/1.96 inference(split_clause,[status(thm)],[f1070,f1067,f535,f538,f623])).
% 12.89/1.96 fof(f1073,plain,(
% 12.89/1.96 ![X0]: (~ssItem(X0)|memberP(sk1,X0)|~memberP(cons(sk5,nil),X0)|~spl0_80)),
% 12.89/1.96 inference(duplicate_literals_removal,[status(esa)],[f1068])).
% 12.89/1.96 fof(f1074,plain,(
% 12.89/1.96 spl0_81 <=> memberP(sk1,sk5)),
% 12.89/1.96 introduced(split_symbol_definition)).
% 12.89/1.96 fof(f1075,plain,(
% 12.89/1.96 memberP(sk1,sk5)|~spl0_81),
% 12.89/1.96 inference(component_clause,[status(thm)],[f1074])).
% 12.89/1.96 fof(f1079,plain,(
% 12.89/1.96 spl0_82 <=> sk5=sk8),
% 12.89/1.96 introduced(split_symbol_definition)).
% 12.89/1.96 fof(f1080,plain,(
% 12.89/1.96 sk5=sk8|~spl0_82),
% 12.89/1.96 inference(component_clause,[status(thm)],[f1079])).
% 12.89/1.96 fof(f1082,plain,(
% 12.89/1.96 ~ssItem(sk5)|sk5=sk8|~spl0_81|~spl0_29),
% 12.89/1.96 inference(resolution,[status(thm)],[f1075,f687])).
% 12.89/1.96 fof(f1083,plain,(
% 12.89/1.96 ~spl0_16|spl0_82|~spl0_81|~spl0_29),
% 12.89/1.96 inference(split_clause,[status(thm)],[f1082,f545,f1079,f1074,f666])).
% 12.89/1.96 fof(f1093,plain,(
% 12.89/1.96 ~ssItem(sk5)|memberP(sk1,sk5)|~ssList(nil)|~ssItem(sk5)|~spl0_80),
% 12.89/1.96 inference(resolution,[status(thm)],[f1073,f492])).
% 12.89/1.96 fof(f1094,plain,(
% 12.89/1.96 ~spl0_16|spl0_81|~spl0_11|~spl0_80),
% 12.89/1.96 inference(split_clause,[status(thm)],[f1093,f545,f1074,f507,f1067])).
% 12.89/1.96 fof(f1101,plain,(
% 12.89/1.96 cons(sk5,nil)=sk1|~spl0_82|~spl0_7),
% 12.89/1.96 inference(backward_demodulation,[status(thm)],[f1080,f516])).
% 12.89/1.96 fof(f1108,plain,(
% 12.89/1.96 app(app(sk6,sk1),sk7)=sk1|~spl0_82|~spl0_7),
% 12.89/1.96 inference(backward_demodulation,[status(thm)],[f1101,f442])).
% 12.89/1.96 fof(f1145,plain,(
% 12.89/1.96 spl0_88 <=> ssList(app(sk6,sk1))),
% 12.89/1.96 introduced(split_symbol_definition)).
% 12.89/1.96 fof(f1147,plain,(
% 12.89/1.96 ~ssList(app(sk6,sk1))|spl0_88),
% 12.89/1.96 inference(component_clause,[status(thm)],[f1145])).
% 12.89/1.96 fof(f1201,plain,(
% 12.89/1.96 ~ssList(sk1)|~ssList(sk6)|spl0_88),
% 12.89/1.96 inference(resolution,[status(thm)],[f1147,f288])).
% 12.89/1.96 fof(f1202,plain,(
% 12.89/1.96 ~spl0_13|~spl0_15|spl0_88),
% 12.89/1.96 inference(split_clause,[status(thm)],[f1201,f526,f538,f1145])).
% 12.89/1.96 fof(f1203,plain,(
% 12.89/1.96 spl0_96 <=> nil=sk6),
% 12.89/1.96 introduced(split_symbol_definition)).
% 12.89/1.96 fof(f1204,plain,(
% 12.89/1.96 nil=sk6|~spl0_96),
% 12.89/1.96 inference(component_clause,[status(thm)],[f1203])).
% 12.89/1.96 fof(f1210,plain,(
% 12.89/1.96 spl0_97 <=> memberP(nil,sk5)),
% 12.89/1.96 introduced(split_symbol_definition)).
% 12.89/1.96 fof(f1211,plain,(
% 12.89/1.96 memberP(nil,sk5)|~spl0_97),
% 12.89/1.96 inference(component_clause,[status(thm)],[f1210])).
% 12.89/1.96 fof(f1344,plain,(
% 12.89/1.96 ~ssItem(sk5)|~spl0_97),
% 12.89/1.96 inference(resolution,[status(thm)],[f1211,f273])).
% 12.89/1.96 fof(f1345,plain,(
% 12.89/1.96 ~spl0_16|~spl0_97),
% 12.89/1.96 inference(split_clause,[status(thm)],[f1344,f545,f1210])).
% 12.89/1.96 fof(f1575,plain,(
% 12.89/1.96 spl0_150 <=> sk1=app(sk6,app(sk1,sk7))),
% 12.89/1.96 introduced(split_symbol_definition)).
% 12.89/1.96 fof(f1576,plain,(
% 12.89/1.96 sk1=app(sk6,app(sk1,sk7))|~spl0_150),
% 12.89/1.96 inference(component_clause,[status(thm)],[f1575])).
% 12.89/1.96 fof(f1578,plain,(
% 12.89/1.96 ~ssList(sk7)|~ssList(sk1)|~ssList(sk6)|sk1=app(sk6,app(sk1,sk7))|~spl0_82|~spl0_7),
% 12.89/1.96 inference(paramodulation,[status(thm)],[f1108,f371])).
% 12.89/1.96 fof(f1579,plain,(
% 12.89/1.96 ~spl0_9|~spl0_13|~spl0_15|spl0_150|~spl0_82|~spl0_7),
% 12.89/1.96 inference(split_clause,[status(thm)],[f1578,f501,f526,f538,f1575,f1079,f475])).
% 12.89/1.96 fof(f1580,plain,(
% 12.89/1.96 spl0_151 <=> ~ssList(X0)|app(sk1,X0)=app(app(sk6,sk1),app(sk7,X0))),
% 12.89/1.96 introduced(split_symbol_definition)).
% 12.89/1.96 fof(f1581,plain,(
% 12.89/1.96 ![X0]: (~ssList(X0)|app(sk1,X0)=app(app(sk6,sk1),app(sk7,X0))|~spl0_151)),
% 12.89/1.96 inference(component_clause,[status(thm)],[f1580])).
% 12.89/1.96 fof(f1583,plain,(
% 12.89/1.96 ![X0]: (~ssList(X0)|~ssList(sk7)|~ssList(app(sk6,sk1))|app(sk1,X0)=app(app(sk6,sk1),app(sk7,X0))|~spl0_82|~spl0_7)),
% 12.89/1.96 inference(paramodulation,[status(thm)],[f1108,f371])).
% 12.89/1.96 fof(f1584,plain,(
% 12.89/1.96 spl0_151|~spl0_9|~spl0_88|~spl0_82|~spl0_7),
% 12.89/1.96 inference(split_clause,[status(thm)],[f1583,f1580,f501,f1145,f1079,f475])).
% 12.89/1.96 fof(f1737,plain,(
% 12.89/1.96 spl0_157 <=> sk1=sk1),
% 12.89/1.96 introduced(split_symbol_definition)).
% 12.89/1.96 fof(f1739,plain,(
% 12.89/1.96 ~sk1=sk1|spl0_157),
% 12.89/1.96 inference(component_clause,[status(thm)],[f1737])).
% 12.89/1.96 fof(f2083,plain,(
% 12.89/1.96 spl0_200 <=> ssList(app(sk1,sk7))),
% 12.89/1.96 introduced(split_symbol_definition)).
% 12.89/1.96 fof(f2085,plain,(
% 12.89/1.96 ~ssList(app(sk1,sk7))|spl0_200),
% 12.89/1.96 inference(component_clause,[status(thm)],[f2083])).
% 12.89/1.96 fof(f2178,plain,(
% 12.89/1.96 ~ssList(sk7)|~ssList(sk1)|spl0_200),
% 12.89/1.96 inference(resolution,[status(thm)],[f2085,f288])).
% 12.89/1.96 fof(f2179,plain,(
% 12.89/1.96 ~spl0_9|~spl0_13|spl0_200),
% 12.89/1.96 inference(split_clause,[status(thm)],[f2178,f501,f526,f2083])).
% 12.89/1.96 fof(f2269,plain,(
% 12.89/1.96 spl0_220 <=> ssList(app(sk7,sk7))),
% 12.89/1.96 introduced(split_symbol_definition)).
% 12.89/1.96 fof(f2271,plain,(
% 12.89/1.96 ~ssList(app(sk7,sk7))|spl0_220),
% 12.89/1.96 inference(component_clause,[status(thm)],[f2269])).
% 12.89/1.96 fof(f2283,plain,(
% 12.89/1.96 ~ssList(sk7)|~ssList(sk7)|spl0_220),
% 12.89/1.96 inference(resolution,[status(thm)],[f2271,f288])).
% 12.89/1.96 fof(f2284,plain,(
% 12.89/1.96 ~spl0_9|spl0_220),
% 12.89/1.96 inference(split_clause,[status(thm)],[f2283,f501,f2269])).
% 12.89/1.96 fof(f2900,plain,(
% 12.89/1.96 spl0_293 <=> ~ssList(app(sk7,X0))|~ssList(app(sk1,X0))|segmentP(app(sk1,X0),sk1)|~ssList(X0)),
% 12.89/1.96 introduced(split_symbol_definition)).
% 12.89/1.96 fof(f2901,plain,(
% 12.89/1.96 ![X0]: (~ssList(app(sk7,X0))|~ssList(app(sk1,X0))|segmentP(app(sk1,X0),sk1)|~ssList(X0)|~spl0_293)),
% 12.89/1.96 inference(component_clause,[status(thm)],[f2900])).
% 12.89/1.96 fof(f2903,plain,(
% 12.89/1.96 ![X0]: (~ssList(app(sk7,X0))|~ssList(sk6)|~ssList(sk1)|~ssList(app(sk1,X0))|segmentP(app(sk1,X0),sk1)|~ssList(X0)|~spl0_151)),
% 12.89/1.96 inference(resolution,[status(thm)],[f409,f1581])).
% 12.89/1.96 fof(f2904,plain,(
% 12.89/1.96 spl0_293|~spl0_15|~spl0_13|~spl0_151),
% 12.89/1.96 inference(split_clause,[status(thm)],[f2903,f2900,f538,f526,f1580])).
% 12.89/1.96 fof(f2914,plain,(
% 12.89/1.96 spl0_295 <=> ~app(sk1,X0)=X1|~ssList(X0)|~ssList(X1)|segmentP(X1,app(sk1,sk7))),
% 12.89/1.96 introduced(split_symbol_definition)).
% 12.89/1.96 fof(f2915,plain,(
% 12.89/1.96 ![X0,X1]: (~app(sk1,X0)=X1|~ssList(X0)|~ssList(X1)|segmentP(X1,app(sk1,sk7))|~spl0_295)),
% 12.89/1.96 inference(component_clause,[status(thm)],[f2914])).
% 12.89/1.96 fof(f2917,plain,(
% 12.89/1.96 ![X0,X1]: (~app(sk1,X0)=X1|~ssList(X0)|~ssList(sk6)|~ssList(app(sk1,sk7))|~ssList(X1)|segmentP(X1,app(sk1,sk7))|~spl0_150)),
% 12.89/1.96 inference(paramodulation,[status(thm)],[f1576,f409])).
% 12.89/1.96 fof(f2918,plain,(
% 12.89/1.96 spl0_295|~spl0_15|~spl0_200|~spl0_150),
% 12.89/1.96 inference(split_clause,[status(thm)],[f2917,f2914,f538,f2083,f1575])).
% 12.89/1.96 fof(f2931,plain,(
% 12.89/1.96 spl0_297 <=> segmentP(sk1,app(sk1,sk7))),
% 12.89/1.96 introduced(split_symbol_definition)).
% 12.89/1.96 fof(f2932,plain,(
% 12.89/1.96 segmentP(sk1,app(sk1,sk7))|~spl0_297),
% 12.89/1.96 inference(component_clause,[status(thm)],[f2931])).
% 12.89/1.96 fof(f2941,plain,(
% 12.89/1.96 $false|spl0_157),
% 12.89/1.96 inference(trivial_equality_resolution,[status(esa)],[f1739])).
% 12.89/1.96 fof(f2942,plain,(
% 12.89/1.96 spl0_157),
% 12.89/1.96 inference(contradiction_clause,[status(thm)],[f2941])).
% 12.89/1.96 fof(f3368,plain,(
% 12.89/1.96 memberP(nil,sk5)|~spl0_12|~spl0_81),
% 12.89/1.96 inference(backward_demodulation,[status(thm)],[f518,f1075])).
% 12.89/1.96 fof(f3369,plain,(
% 12.89/1.96 spl0_97|~spl0_12|~spl0_81),
% 12.89/1.96 inference(split_clause,[status(thm)],[f3368,f1210,f517,f1074])).
% 12.89/1.96 fof(f3745,plain,(
% 12.89/1.96 ~ssList(nil)|~ssList(sk1)|segmentP(sk1,app(sk1,sk7))|~ssList(sk1)|~spl0_295),
% 12.89/1.96 inference(resolution,[status(thm)],[f2915,f276])).
% 12.89/1.96 fof(f3746,plain,(
% 12.89/1.96 ~spl0_11|~spl0_13|spl0_297|~spl0_295),
% 12.89/1.96 inference(split_clause,[status(thm)],[f3745,f507,f526,f2931,f2914])).
% 12.89/1.96 fof(f3943,plain,(
% 12.89/1.96 memberP(nil,sk5)|~spl0_96|~spl0_2),
% 12.89/1.96 inference(backward_demodulation,[status(thm)],[f1204,f458])).
% 12.89/1.96 fof(f3944,plain,(
% 12.89/1.96 spl0_97|~spl0_96|~spl0_2),
% 12.89/1.96 inference(split_clause,[status(thm)],[f3943,f1210,f1203,f457])).
% 12.89/1.96 fof(f6861,plain,(
% 12.89/1.96 spl0_629 <=> sk1=app(sk1,sk7)),
% 12.89/1.96 introduced(split_symbol_definition)).
% 12.89/1.96 fof(f6862,plain,(
% 12.89/1.96 sk1=app(sk1,sk7)|~spl0_629),
% 12.89/1.96 inference(component_clause,[status(thm)],[f6861])).
% 12.89/1.96 fof(f6887,plain,(
% 12.89/1.96 spl0_635 <=> app(nil,sk1)=sk1),
% 12.89/1.96 introduced(split_symbol_definition)).
% 12.89/1.96 fof(f6888,plain,(
% 12.89/1.96 app(nil,sk1)=sk1|~spl0_635),
% 12.89/1.96 inference(component_clause,[status(thm)],[f6887])).
% 12.89/1.96 fof(f6889,plain,(
% 12.89/1.96 ~app(nil,sk1)=sk1|spl0_635),
% 12.89/1.96 inference(component_clause,[status(thm)],[f6887])).
% 12.89/1.96 fof(f6917,plain,(
% 12.89/1.96 spl0_641 <=> ~segmentP(sk1,app(sk1,X0))|~ssList(app(sk1,X0))|app(sk1,X0)=sk1|~ssList(app(sk7,X0))|~ssList(app(sk1,X0))|~ssList(X0)),
% 12.89/1.96 introduced(split_symbol_definition)).
% 12.89/1.96 fof(f6918,plain,(
% 12.89/1.96 ![X0]: (~segmentP(sk1,app(sk1,X0))|~ssList(app(sk1,X0))|app(sk1,X0)=sk1|~ssList(app(sk7,X0))|~ssList(app(sk1,X0))|~ssList(X0)|~spl0_641)),
% 12.89/1.96 inference(component_clause,[status(thm)],[f6917])).
% 12.89/1.96 fof(f6920,plain,(
% 12.89/1.96 ![X0]: (~segmentP(sk1,app(sk1,X0))|~ssList(sk1)|~ssList(app(sk1,X0))|app(sk1,X0)=sk1|~ssList(app(sk7,X0))|~ssList(app(sk1,X0))|~ssList(X0)|~spl0_293)),
% 12.89/1.96 inference(resolution,[status(thm)],[f342,f2901])).
% 12.89/1.96 fof(f6921,plain,(
% 12.89/1.96 spl0_641|~spl0_13|~spl0_293),
% 12.89/1.96 inference(split_clause,[status(thm)],[f6920,f6917,f526,f2900])).
% 12.89/1.96 fof(f6933,plain,(
% 12.89/1.96 ![X0]: (~segmentP(sk1,app(sk1,X0))|~ssList(app(sk1,X0))|app(sk1,X0)=sk1|~ssList(app(sk7,X0))|~ssList(X0)|~spl0_641)),
% 12.89/1.96 inference(duplicate_literals_removal,[status(esa)],[f6918])).
% 12.89/1.96 fof(f7147,plain,(
% 12.89/1.96 ~ssList(app(sk1,sk7))|app(sk1,sk7)=sk1|~ssList(app(sk7,sk7))|~ssList(sk7)|~spl0_641|~spl0_297),
% 12.89/1.96 inference(resolution,[status(thm)],[f6933,f2932])).
% 12.89/1.96 fof(f7148,plain,(
% 12.89/1.96 ~spl0_200|spl0_629|~spl0_220|~spl0_9|~spl0_641|~spl0_297),
% 12.89/1.96 inference(split_clause,[status(thm)],[f7147,f2083,f6861,f2269,f501,f6917,f2931])).
% 12.89/1.96 fof(f7158,plain,(
% 12.89/1.96 sk1=app(sk6,sk1)|~spl0_629|~spl0_150),
% 12.89/1.96 inference(backward_demodulation,[status(thm)],[f6862,f1576])).
% 12.89/1.96 fof(f7312,plain,(
% 12.89/1.96 spl0_697 <=> ~app(sk1,X0)=sk1|~ssList(X0)|X0=sk7),
% 12.89/1.96 introduced(split_symbol_definition)).
% 12.89/1.96 fof(f7313,plain,(
% 12.89/1.96 ![X0]: (~app(sk1,X0)=sk1|~ssList(X0)|X0=sk7|~spl0_697)),
% 12.89/1.96 inference(component_clause,[status(thm)],[f7312])).
% 12.89/1.96 fof(f7315,plain,(
% 12.89/1.96 ![X0]: (~app(sk1,X0)=sk1|~ssList(X0)|~ssList(sk1)|~ssList(sk7)|X0=sk7|~spl0_629)),
% 12.89/1.96 inference(paramodulation,[status(thm)],[f6862,f373])).
% 12.89/1.96 fof(f7316,plain,(
% 12.89/1.96 spl0_697|~spl0_13|~spl0_9|~spl0_629),
% 12.89/1.96 inference(split_clause,[status(thm)],[f7315,f7312,f526,f501,f6861])).
% 12.89/1.96 fof(f8177,plain,(
% 12.89/1.96 spl0_808 <=> ~app(X0,sk1)=sk1|~ssList(X0)|X0=nil),
% 12.89/1.96 introduced(split_symbol_definition)).
% 12.89/1.96 fof(f8178,plain,(
% 12.89/1.96 ![X0]: (~app(X0,sk1)=sk1|~ssList(X0)|X0=nil|~spl0_808)),
% 12.89/1.96 inference(component_clause,[status(thm)],[f8177])).
% 12.89/1.96 fof(f8180,plain,(
% 12.89/1.96 ![X0]: (~app(X0,sk1)=sk1|~ssList(X0)|~ssList(sk1)|~ssList(nil)|X0=nil|~spl0_635)),
% 12.89/1.96 inference(paramodulation,[status(thm)],[f6888,f375])).
% 12.89/1.96 fof(f8181,plain,(
% 12.89/1.96 spl0_808|~spl0_13|~spl0_11|~spl0_635),
% 12.89/1.96 inference(split_clause,[status(thm)],[f8180,f8177,f526,f507,f6887])).
% 12.89/1.96 fof(f8215,plain,(
% 12.89/1.96 ~ssList(sk1)|spl0_635),
% 12.89/1.96 inference(resolution,[status(thm)],[f6889,f277])).
% 12.89/1.96 fof(f8216,plain,(
% 12.89/1.96 $false|spl0_635),
% 12.89/1.96 inference(forward_subsumption_resolution,[status(thm)],[f8215,f433])).
% 12.89/1.96 fof(f8217,plain,(
% 12.89/1.96 spl0_635),
% 12.89/1.96 inference(contradiction_clause,[status(thm)],[f8216])).
% 12.89/1.96 fof(f8364,plain,(
% 12.89/1.96 ~ssList(nil)|nil=sk7|~ssList(sk1)|~spl0_697),
% 12.89/1.96 inference(resolution,[status(thm)],[f7313,f276])).
% 12.89/1.96 fof(f8365,plain,(
% 12.89/1.96 ~spl0_11|spl0_19|~spl0_13|~spl0_697),
% 12.89/1.96 inference(split_clause,[status(thm)],[f8364,f507,f576,f526,f7312])).
% 12.89/1.97 fof(f8691,plain,(
% 12.89/1.97 ~sk1=sk1|~ssList(sk6)|sk6=nil|~spl0_808|~spl0_629|~spl0_150),
% 12.89/1.97 inference(paramodulation,[status(thm)],[f7158,f8178])).
% 12.89/1.97 fof(f8692,plain,(
% 12.89/1.97 ~spl0_157|~spl0_15|spl0_96|~spl0_808|~spl0_629|~spl0_150),
% 12.89/1.97 inference(split_clause,[status(thm)],[f8691,f1737,f538,f1203,f8177,f6861,f1575])).
% 12.89/1.97 fof(f8772,plain,(
% 12.89/1.97 memberP(nil,sk5)|~spl0_19|~spl0_3),
% 12.89/1.97 inference(backward_demodulation,[status(thm)],[f577,f461])).
% 12.89/1.97 fof(f8773,plain,(
% 12.89/1.97 spl0_97|~spl0_19|~spl0_3),
% 12.89/1.97 inference(split_clause,[status(thm)],[f8772,f1210,f576,f460])).
% 12.89/1.97 fof(f8828,plain,(
% 12.89/1.97 $false),
% 12.89/1.97 inference(sat_refutation,[status(thm)],[f463,f474,f483,f523,f530,f542,f549,f551,f553,f558,f627,f660,f670,f1071,f1083,f1094,f1202,f1345,f1579,f1584,f2179,f2284,f2904,f2918,f2942,f3369,f3746,f3944,f6921,f7148,f7316,f8181,f8217,f8365,f8692,f8773])).
% 12.89/1.97 % SZS output end CNFRefutation for theBenchmark.p
% 13.01/1.99 % Elapsed time: 1.670564 seconds
% 13.01/1.99 % CPU time: 13.072114 seconds
% 13.01/1.99 % Total memory used: 185.905 MB
% 13.01/1.99 % Net memory used: 177.055 MB
%------------------------------------------------------------------------------