TSTP Solution File: SWC298-1 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : SWC298-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n032.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 20:45:15 EDT 2024
% Result : Unsatisfiable 0.16s 0.41s
% Output : CNFRefutation 0.16s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.10 % Problem : SWC298-1 : TPTP v8.1.2. Released v2.4.0.
% 0.05/0.11 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.31 % Computer : n032.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Tue Apr 30 00:13:35 EDT 2024
% 0.10/0.31 % CPUTime :
% 0.16/0.33 % Drodi V3.6.0
% 0.16/0.41 % Refutation found
% 0.16/0.41 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.16/0.41 % SZS output start CNFRefutation for theBenchmark
% 0.16/0.41 fof(f8,axiom,(
% 0.16/0.41 ssList(nil) ),
% 0.16/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/0.41 fof(f63,axiom,(
% 0.16/0.41 (![U]: (( ~ lt(U,U)| ~ ssItem(U) ) ))),
% 0.16/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/0.41 fof(f71,axiom,(
% 0.16/0.41 (![U]: (( ~ memberP(nil,U)| ~ ssItem(U) ) ))),
% 0.16/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/0.41 fof(f85,axiom,(
% 0.16/0.41 (![U,V]: (( ~ ssList(U)| ~ ssList(V)| ssList(app(V,U)) ) ))),
% 0.16/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/0.41 fof(f86,axiom,(
% 0.16/0.41 (![U,V]: (( ~ ssItem(U)| ~ ssList(V)| ssList(cons(U,V)) ) ))),
% 0.16/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/0.41 fof(f140,axiom,(
% 0.16/0.41 (![U,V,W]: (( ~ memberP(U,V)| ~ ssList(W)| ~ ssList(U)| ~ ssItem(V)| memberP(app(U,W),V) ) ))),
% 0.16/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/0.41 fof(f149,axiom,(
% 0.16/0.41 (![U,V,W]: (( ~ ssList(U)| ~ ssList(V)| ~ ssList(W)| app(app(W,V),U) = app(W,app(V,U)) ) ))),
% 0.16/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/0.41 fof(f161,axiom,(
% 0.16/0.41 (![U,V,W]: (( ~ memberP(cons(U,V),W)| ~ ssList(V)| ~ ssItem(U)| ~ ssItem(W)| memberP(V,W)| W = U ) ))),
% 0.16/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/0.41 fof(f175,axiom,(
% 0.16/0.41 (![U,V,W,X]: (( app(U,cons(V,W)) != X| ~ ssList(W)| ~ ssList(U)| ~ ssItem(V)| ~ ssList(X)| memberP(X,V) ) ))),
% 0.16/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/0.41 fof(f191,negated_conjecture,(
% 0.16/0.41 sk1 = sk3 ),
% 0.16/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/0.41 fof(f192,negated_conjecture,(
% 0.16/0.41 ssItem(sk5) ),
% 0.16/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/0.41 fof(f193,negated_conjecture,(
% 0.16/0.41 ssItem(sk6) ),
% 0.16/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/0.41 fof(f194,negated_conjecture,(
% 0.16/0.41 ssList(sk7) ),
% 0.16/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/0.41 fof(f195,negated_conjecture,(
% 0.16/0.41 ssList(sk8) ),
% 0.16/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/0.41 fof(f196,negated_conjecture,(
% 0.16/0.41 ssList(sk9) ),
% 0.16/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/0.41 fof(f197,negated_conjecture,(
% 0.16/0.41 app(app(app(app(sk7,cons(sk5,nil)),sk8),cons(sk6,nil)),sk9) = sk1 ),
% 0.16/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/0.41 fof(f198,negated_conjecture,(
% 0.16/0.41 lt(sk6,sk5) ),
% 0.16/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/0.41 fof(f200,negated_conjecture,(
% 0.16/0.41 ( ssItem(sk10)| nil = sk3 ) ),
% 0.16/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/0.41 fof(f204,negated_conjecture,(
% 0.16/0.41 ( cons(sk10,nil) = sk3| nil = sk3 ) ),
% 0.16/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/0.41 fof(f214,plain,(
% 0.16/0.41 ssList(nil)),
% 0.16/0.41 inference(cnf_transformation,[status(esa)],[f8])).
% 0.16/0.41 fof(f269,plain,(
% 0.16/0.41 ![X0]: (~lt(X0,X0)|~ssItem(X0))),
% 0.16/0.41 inference(cnf_transformation,[status(esa)],[f63])).
% 0.16/0.41 fof(f277,plain,(
% 0.16/0.41 ![X0]: (~memberP(nil,X0)|~ssItem(X0))),
% 0.16/0.41 inference(cnf_transformation,[status(esa)],[f71])).
% 0.16/0.41 fof(f292,plain,(
% 0.16/0.41 ![X0,X1]: (~ssList(X0)|~ssList(X1)|ssList(app(X1,X0)))),
% 0.16/0.41 inference(cnf_transformation,[status(esa)],[f85])).
% 0.16/0.41 fof(f293,plain,(
% 0.16/0.41 ![X0,X1]: (~ssItem(X0)|~ssList(X1)|ssList(cons(X0,X1)))),
% 0.16/0.41 inference(cnf_transformation,[status(esa)],[f86])).
% 0.16/0.41 fof(f361,plain,(
% 0.16/0.41 ![X0,X1,X2]: (~memberP(X0,X1)|~ssList(X2)|~ssList(X0)|~ssItem(X1)|memberP(app(X0,X2),X1))),
% 0.16/0.41 inference(cnf_transformation,[status(esa)],[f140])).
% 0.16/0.41 fof(f375,plain,(
% 0.16/0.41 ![X0,X1,X2]: (~ssList(X0)|~ssList(X1)|~ssList(X2)|app(app(X2,X1),X0)=app(X2,app(X1,X0)))),
% 0.16/0.41 inference(cnf_transformation,[status(esa)],[f149])).
% 0.16/0.41 fof(f397,plain,(
% 0.16/0.41 ![U,W]: ((![V]: ((((~memberP(cons(U,V),W)|~ssList(V))|~ssItem(U))|~ssItem(W))|memberP(V,W)))|W=U)),
% 0.16/0.41 inference(miniscoping,[status(esa)],[f161])).
% 0.16/0.41 fof(f398,plain,(
% 0.16/0.41 ![X0,X1,X2]: (~memberP(cons(X0,X1),X2)|~ssList(X1)|~ssItem(X0)|~ssItem(X2)|memberP(X1,X2)|X2=X0)),
% 0.16/0.41 inference(cnf_transformation,[status(esa)],[f397])).
% 0.16/0.41 fof(f416,plain,(
% 0.16/0.41 ![V,X]: ((((![U]: ((![W]: (~app(U,cons(V,W))=X|~ssList(W)))|~ssList(U)))|~ssItem(V))|~ssList(X))|memberP(X,V))),
% 0.16/0.41 inference(miniscoping,[status(esa)],[f175])).
% 0.16/0.41 fof(f417,plain,(
% 0.16/0.42 ![X0,X1,X2,X3]: (~app(X0,cons(X1,X2))=X3|~ssList(X2)|~ssList(X0)|~ssItem(X1)|~ssList(X3)|memberP(X3,X1))),
% 0.16/0.42 inference(cnf_transformation,[status(esa)],[f416])).
% 0.16/0.42 fof(f442,plain,(
% 0.16/0.42 sk1=sk3),
% 0.16/0.42 inference(cnf_transformation,[status(esa)],[f191])).
% 0.16/0.42 fof(f443,plain,(
% 0.16/0.42 ssItem(sk5)),
% 0.16/0.42 inference(cnf_transformation,[status(esa)],[f192])).
% 0.16/0.42 fof(f444,plain,(
% 0.16/0.42 ssItem(sk6)),
% 0.16/0.42 inference(cnf_transformation,[status(esa)],[f193])).
% 0.16/0.42 fof(f445,plain,(
% 0.16/0.42 ssList(sk7)),
% 0.16/0.42 inference(cnf_transformation,[status(esa)],[f194])).
% 0.16/0.42 fof(f446,plain,(
% 0.16/0.42 ssList(sk8)),
% 0.16/0.42 inference(cnf_transformation,[status(esa)],[f195])).
% 0.16/0.42 fof(f447,plain,(
% 0.16/0.42 ssList(sk9)),
% 0.16/0.42 inference(cnf_transformation,[status(esa)],[f196])).
% 0.16/0.42 fof(f448,plain,(
% 0.16/0.42 app(app(app(app(sk7,cons(sk5,nil)),sk8),cons(sk6,nil)),sk9)=sk1),
% 0.16/0.42 inference(cnf_transformation,[status(esa)],[f197])).
% 0.16/0.42 fof(f449,plain,(
% 0.16/0.42 lt(sk6,sk5)),
% 0.16/0.42 inference(cnf_transformation,[status(esa)],[f198])).
% 0.16/0.42 fof(f451,plain,(
% 0.16/0.42 ssItem(sk10)|nil=sk3),
% 0.16/0.42 inference(cnf_transformation,[status(esa)],[f200])).
% 0.16/0.42 fof(f456,plain,(
% 0.16/0.42 cons(sk10,nil)=sk3|nil=sk3),
% 0.16/0.42 inference(cnf_transformation,[status(esa)],[f204])).
% 0.16/0.42 fof(f467,plain,(
% 0.16/0.42 spl0_2 <=> ssItem(sk10)),
% 0.16/0.42 introduced(split_symbol_definition)).
% 0.16/0.42 fof(f474,plain,(
% 0.16/0.42 spl0_4 <=> nil=sk3),
% 0.16/0.42 introduced(split_symbol_definition)).
% 0.16/0.42 fof(f475,plain,(
% 0.16/0.42 nil=sk3|~spl0_4),
% 0.16/0.42 inference(component_clause,[status(thm)],[f474])).
% 0.16/0.42 fof(f477,plain,(
% 0.16/0.42 spl0_2|spl0_4),
% 0.16/0.42 inference(split_clause,[status(thm)],[f451,f467,f474])).
% 0.16/0.42 fof(f478,plain,(
% 0.16/0.42 spl0_5 <=> cons(sk10,nil)=sk3),
% 0.16/0.42 introduced(split_symbol_definition)).
% 0.16/0.42 fof(f479,plain,(
% 0.16/0.42 cons(sk10,nil)=sk3|~spl0_5),
% 0.16/0.42 inference(component_clause,[status(thm)],[f478])).
% 0.16/0.42 fof(f490,plain,(
% 0.16/0.42 spl0_5|spl0_4),
% 0.16/0.42 inference(split_clause,[status(thm)],[f456,f478,f474])).
% 0.16/0.42 fof(f512,plain,(
% 0.16/0.42 ![X0,X1,X2]: (~ssList(X0)|~ssList(X1)|~ssItem(X2)|~ssList(app(X1,cons(X2,X0)))|memberP(app(X1,cons(X2,X0)),X2))),
% 0.16/0.42 inference(destructive_equality_resolution,[status(esa)],[f417])).
% 0.16/0.42 fof(f524,plain,(
% 0.16/0.42 nil=sk1|~spl0_4),
% 0.16/0.42 inference(forward_demodulation,[status(thm)],[f442,f475])).
% 0.16/0.42 fof(f531,plain,(
% 0.16/0.42 spl0_8 <=> ssList(sk9)),
% 0.16/0.42 introduced(split_symbol_definition)).
% 0.16/0.42 fof(f533,plain,(
% 0.16/0.42 ~ssList(sk9)|spl0_8),
% 0.16/0.42 inference(component_clause,[status(thm)],[f531])).
% 0.16/0.42 fof(f534,plain,(
% 0.16/0.42 spl0_9 <=> ssList(app(app(app(sk7,cons(sk5,nil)),sk8),cons(sk6,nil)))),
% 0.16/0.42 introduced(split_symbol_definition)).
% 0.16/0.42 fof(f536,plain,(
% 0.16/0.42 ~ssList(app(app(app(sk7,cons(sk5,nil)),sk8),cons(sk6,nil)))|spl0_9),
% 0.16/0.42 inference(component_clause,[status(thm)],[f534])).
% 0.16/0.42 fof(f537,plain,(
% 0.16/0.42 spl0_10 <=> ssList(nil)),
% 0.16/0.42 introduced(split_symbol_definition)).
% 0.16/0.42 fof(f539,plain,(
% 0.16/0.42 ~ssList(nil)|spl0_10),
% 0.16/0.42 inference(component_clause,[status(thm)],[f537])).
% 0.16/0.42 fof(f542,plain,(
% 0.16/0.42 spl0_11 <=> ssList(cons(sk6,nil))),
% 0.16/0.42 introduced(split_symbol_definition)).
% 0.16/0.42 fof(f544,plain,(
% 0.16/0.42 ~ssList(cons(sk6,nil))|spl0_11),
% 0.16/0.42 inference(component_clause,[status(thm)],[f542])).
% 0.16/0.42 fof(f545,plain,(
% 0.16/0.42 spl0_12 <=> ssList(app(app(sk7,cons(sk5,nil)),sk8))),
% 0.16/0.42 introduced(split_symbol_definition)).
% 0.16/0.42 fof(f547,plain,(
% 0.16/0.42 ~ssList(app(app(sk7,cons(sk5,nil)),sk8))|spl0_12),
% 0.16/0.42 inference(component_clause,[status(thm)],[f545])).
% 0.16/0.42 fof(f548,plain,(
% 0.16/0.42 ~ssList(cons(sk6,nil))|~ssList(app(app(sk7,cons(sk5,nil)),sk8))|spl0_9),
% 0.16/0.42 inference(resolution,[status(thm)],[f536,f292])).
% 0.16/0.42 fof(f549,plain,(
% 0.16/0.42 ~spl0_11|~spl0_12|spl0_9),
% 0.16/0.42 inference(split_clause,[status(thm)],[f548,f542,f545,f534])).
% 0.16/0.42 fof(f550,plain,(
% 0.16/0.42 $false|spl0_8),
% 0.16/0.42 inference(forward_subsumption_resolution,[status(thm)],[f533,f447])).
% 0.16/0.42 fof(f551,plain,(
% 0.16/0.42 spl0_8),
% 0.16/0.42 inference(contradiction_clause,[status(thm)],[f550])).
% 0.16/0.42 fof(f552,plain,(
% 0.16/0.42 spl0_13 <=> ssList(sk8)),
% 0.16/0.42 introduced(split_symbol_definition)).
% 0.16/0.42 fof(f554,plain,(
% 0.16/0.42 ~ssList(sk8)|spl0_13),
% 0.16/0.42 inference(component_clause,[status(thm)],[f552])).
% 0.16/0.42 fof(f555,plain,(
% 0.16/0.42 spl0_14 <=> ssList(app(sk7,cons(sk5,nil)))),
% 0.16/0.42 introduced(split_symbol_definition)).
% 0.16/0.42 fof(f557,plain,(
% 0.16/0.42 ~ssList(app(sk7,cons(sk5,nil)))|spl0_14),
% 0.16/0.42 inference(component_clause,[status(thm)],[f555])).
% 0.16/0.42 fof(f558,plain,(
% 0.16/0.42 ~ssList(sk8)|~ssList(app(sk7,cons(sk5,nil)))|spl0_12),
% 0.16/0.42 inference(resolution,[status(thm)],[f547,f292])).
% 0.16/0.42 fof(f559,plain,(
% 0.16/0.42 ~spl0_13|~spl0_14|spl0_12),
% 0.16/0.42 inference(split_clause,[status(thm)],[f558,f552,f555,f545])).
% 0.16/0.42 fof(f560,plain,(
% 0.16/0.42 $false|spl0_13),
% 0.16/0.42 inference(forward_subsumption_resolution,[status(thm)],[f554,f446])).
% 0.16/0.42 fof(f561,plain,(
% 0.16/0.42 spl0_13),
% 0.16/0.42 inference(contradiction_clause,[status(thm)],[f560])).
% 0.16/0.42 fof(f562,plain,(
% 0.16/0.42 spl0_15 <=> ssList(cons(sk5,nil))),
% 0.16/0.42 introduced(split_symbol_definition)).
% 0.16/0.42 fof(f564,plain,(
% 0.16/0.42 ~ssList(cons(sk5,nil))|spl0_15),
% 0.16/0.42 inference(component_clause,[status(thm)],[f562])).
% 0.16/0.42 fof(f565,plain,(
% 0.16/0.42 spl0_16 <=> ssList(sk7)),
% 0.16/0.42 introduced(split_symbol_definition)).
% 0.16/0.42 fof(f567,plain,(
% 0.16/0.42 ~ssList(sk7)|spl0_16),
% 0.16/0.42 inference(component_clause,[status(thm)],[f565])).
% 0.16/0.42 fof(f568,plain,(
% 0.16/0.42 ~ssList(cons(sk5,nil))|~ssList(sk7)|spl0_14),
% 0.16/0.42 inference(resolution,[status(thm)],[f557,f292])).
% 0.16/0.42 fof(f569,plain,(
% 0.16/0.42 ~spl0_15|~spl0_16|spl0_14),
% 0.16/0.42 inference(split_clause,[status(thm)],[f568,f562,f565,f555])).
% 0.16/0.42 fof(f570,plain,(
% 0.16/0.42 $false|spl0_16),
% 0.16/0.42 inference(forward_subsumption_resolution,[status(thm)],[f567,f445])).
% 0.16/0.42 fof(f571,plain,(
% 0.16/0.42 spl0_16),
% 0.16/0.42 inference(contradiction_clause,[status(thm)],[f570])).
% 0.16/0.42 fof(f572,plain,(
% 0.16/0.42 spl0_17 <=> ssItem(sk5)),
% 0.16/0.42 introduced(split_symbol_definition)).
% 0.16/0.42 fof(f574,plain,(
% 0.16/0.42 ~ssItem(sk5)|spl0_17),
% 0.16/0.42 inference(component_clause,[status(thm)],[f572])).
% 0.16/0.42 fof(f575,plain,(
% 0.16/0.42 ~ssItem(sk5)|~ssList(nil)|spl0_15),
% 0.16/0.42 inference(resolution,[status(thm)],[f293,f564])).
% 0.16/0.42 fof(f576,plain,(
% 0.16/0.42 ~spl0_17|~spl0_10|spl0_15),
% 0.16/0.42 inference(split_clause,[status(thm)],[f575,f572,f537,f562])).
% 0.16/0.42 fof(f577,plain,(
% 0.16/0.42 spl0_18 <=> ssItem(sk6)),
% 0.16/0.42 introduced(split_symbol_definition)).
% 0.16/0.42 fof(f579,plain,(
% 0.16/0.42 ~ssItem(sk6)|spl0_18),
% 0.16/0.42 inference(component_clause,[status(thm)],[f577])).
% 0.16/0.42 fof(f580,plain,(
% 0.16/0.42 ~ssItem(sk6)|~ssList(nil)|spl0_11),
% 0.16/0.42 inference(resolution,[status(thm)],[f293,f544])).
% 0.16/0.42 fof(f581,plain,(
% 0.16/0.42 ~spl0_18|~spl0_10|spl0_11),
% 0.16/0.42 inference(split_clause,[status(thm)],[f580,f577,f537,f542])).
% 0.16/0.42 fof(f582,plain,(
% 0.16/0.42 $false|spl0_17),
% 0.16/0.42 inference(forward_subsumption_resolution,[status(thm)],[f574,f443])).
% 0.16/0.42 fof(f583,plain,(
% 0.16/0.42 spl0_17),
% 0.16/0.42 inference(contradiction_clause,[status(thm)],[f582])).
% 0.16/0.42 fof(f584,plain,(
% 0.16/0.42 $false|spl0_18),
% 0.16/0.42 inference(forward_subsumption_resolution,[status(thm)],[f579,f444])).
% 0.16/0.42 fof(f585,plain,(
% 0.16/0.42 spl0_18),
% 0.16/0.42 inference(contradiction_clause,[status(thm)],[f584])).
% 0.16/0.42 fof(f594,plain,(
% 0.16/0.42 spl0_20 <=> ssList(sk1)),
% 0.16/0.42 introduced(split_symbol_definition)).
% 0.16/0.42 fof(f597,plain,(
% 0.16/0.42 ~ssList(sk9)|~ssList(app(app(app(sk7,cons(sk5,nil)),sk8),cons(sk6,nil)))|ssList(sk1)),
% 0.16/0.42 inference(paramodulation,[status(thm)],[f448,f292])).
% 0.16/0.42 fof(f598,plain,(
% 0.16/0.42 ~spl0_8|~spl0_9|spl0_20),
% 0.16/0.42 inference(split_clause,[status(thm)],[f597,f531,f534,f594])).
% 0.16/0.42 fof(f599,plain,(
% 0.16/0.42 cons(sk10,nil)=sk1|~spl0_5),
% 0.16/0.42 inference(backward_demodulation,[status(thm)],[f442,f479])).
% 0.16/0.42 fof(f620,plain,(
% 0.16/0.42 $false|spl0_10),
% 0.16/0.42 inference(forward_subsumption_resolution,[status(thm)],[f214,f539])).
% 0.16/0.42 fof(f621,plain,(
% 0.16/0.42 spl0_10),
% 0.16/0.42 inference(contradiction_clause,[status(thm)],[f620])).
% 0.16/0.42 fof(f644,plain,(
% 0.16/0.42 spl0_26 <=> sk6=sk5),
% 0.16/0.42 introduced(split_symbol_definition)).
% 0.16/0.42 fof(f645,plain,(
% 0.16/0.42 sk6=sk5|~spl0_26),
% 0.16/0.42 inference(component_clause,[status(thm)],[f644])).
% 0.16/0.42 fof(f665,plain,(
% 0.16/0.42 lt(sk5,sk5)|~spl0_26),
% 0.16/0.42 inference(backward_demodulation,[status(thm)],[f645,f449])).
% 0.16/0.42 fof(f945,plain,(
% 0.16/0.42 spl0_64 <=> ~memberP(sk1,X0)|~ssItem(X0)|memberP(nil,X0)|X0=sk10),
% 0.16/0.42 introduced(split_symbol_definition)).
% 0.16/0.42 fof(f946,plain,(
% 0.16/0.42 ![X0]: (~memberP(sk1,X0)|~ssItem(X0)|memberP(nil,X0)|X0=sk10|~spl0_64)),
% 0.16/0.42 inference(component_clause,[status(thm)],[f945])).
% 0.16/0.42 fof(f948,plain,(
% 0.16/0.42 ![X0]: (~memberP(sk1,X0)|~ssList(nil)|~ssItem(sk10)|~ssItem(X0)|memberP(nil,X0)|X0=sk10|~spl0_5)),
% 0.16/0.42 inference(paramodulation,[status(thm)],[f599,f398])).
% 0.16/0.42 fof(f949,plain,(
% 0.16/0.42 spl0_64|~spl0_10|~spl0_2|~spl0_5),
% 0.16/0.42 inference(split_clause,[status(thm)],[f948,f945,f537,f467,f478])).
% 0.16/0.42 fof(f975,plain,(
% 0.16/0.42 ![X0]: (~memberP(sk1,X0)|~ssItem(X0)|X0=sk10|~spl0_64)),
% 0.16/0.42 inference(forward_subsumption_resolution,[status(thm)],[f946,f277])).
% 0.16/0.42 fof(f976,plain,(
% 0.16/0.42 spl0_69 <=> sk1=app(app(app(sk7,cons(sk5,nil)),sk8),app(cons(sk6,nil),sk9))),
% 0.16/0.42 introduced(split_symbol_definition)).
% 0.16/0.42 fof(f977,plain,(
% 0.16/0.42 sk1=app(app(app(sk7,cons(sk5,nil)),sk8),app(cons(sk6,nil),sk9))|~spl0_69),
% 0.16/0.42 inference(component_clause,[status(thm)],[f976])).
% 0.16/0.42 fof(f979,plain,(
% 0.16/0.42 ~ssList(sk9)|~ssList(cons(sk6,nil))|~ssList(app(app(sk7,cons(sk5,nil)),sk8))|sk1=app(app(app(sk7,cons(sk5,nil)),sk8),app(cons(sk6,nil),sk9))),
% 0.16/0.42 inference(paramodulation,[status(thm)],[f448,f375])).
% 0.16/0.42 fof(f980,plain,(
% 0.16/0.42 ~spl0_8|~spl0_11|~spl0_12|spl0_69),
% 0.16/0.42 inference(split_clause,[status(thm)],[f979,f531,f542,f545,f976])).
% 0.16/0.42 fof(f1001,plain,(
% 0.16/0.42 spl0_74 <=> ~memberP(app(app(app(sk7,cons(sk5,nil)),sk8),cons(sk6,nil)),X0)|~ssItem(X0)|memberP(sk1,X0)),
% 0.16/0.42 introduced(split_symbol_definition)).
% 0.16/0.42 fof(f1002,plain,(
% 0.16/0.42 ![X0]: (~memberP(app(app(app(sk7,cons(sk5,nil)),sk8),cons(sk6,nil)),X0)|~ssItem(X0)|memberP(sk1,X0)|~spl0_74)),
% 0.16/0.42 inference(component_clause,[status(thm)],[f1001])).
% 0.16/0.42 fof(f1004,plain,(
% 0.16/0.42 ![X0]: (~memberP(app(app(app(sk7,cons(sk5,nil)),sk8),cons(sk6,nil)),X0)|~ssList(sk9)|~ssList(app(app(app(sk7,cons(sk5,nil)),sk8),cons(sk6,nil)))|~ssItem(X0)|memberP(sk1,X0))),
% 0.16/0.42 inference(paramodulation,[status(thm)],[f448,f361])).
% 0.16/0.42 fof(f1005,plain,(
% 0.16/0.42 spl0_74|~spl0_8|~spl0_9),
% 0.16/0.42 inference(split_clause,[status(thm)],[f1004,f1001,f531,f534])).
% 0.16/0.42 fof(f1037,plain,(
% 0.16/0.42 spl0_78 <=> sk1=sk1),
% 0.16/0.42 introduced(split_symbol_definition)).
% 0.16/0.42 fof(f1039,plain,(
% 0.16/0.42 ~sk1=sk1|spl0_78),
% 0.16/0.42 inference(component_clause,[status(thm)],[f1037])).
% 0.16/0.42 fof(f1052,plain,(
% 0.16/0.42 spl0_80 <=> ssList(app(cons(sk6,nil),sk9))),
% 0.16/0.42 introduced(split_symbol_definition)).
% 0.16/0.42 fof(f1053,plain,(
% 0.16/0.42 ssList(app(cons(sk6,nil),sk9))|~spl0_80),
% 0.16/0.42 inference(component_clause,[status(thm)],[f1052])).
% 0.16/0.42 fof(f1054,plain,(
% 0.16/0.42 ~ssList(app(cons(sk6,nil),sk9))|spl0_80),
% 0.16/0.42 inference(component_clause,[status(thm)],[f1052])).
% 0.16/0.42 fof(f1055,plain,(
% 0.16/0.42 spl0_81 <=> sk1=app(app(sk7,cons(sk5,nil)),app(sk8,app(cons(sk6,nil),sk9)))),
% 0.16/0.42 introduced(split_symbol_definition)).
% 0.16/0.42 fof(f1056,plain,(
% 0.16/0.42 sk1=app(app(sk7,cons(sk5,nil)),app(sk8,app(cons(sk6,nil),sk9)))|~spl0_81),
% 0.16/0.42 inference(component_clause,[status(thm)],[f1055])).
% 0.16/0.42 fof(f1058,plain,(
% 0.16/0.42 ~ssList(app(cons(sk6,nil),sk9))|~ssList(sk8)|~ssList(app(sk7,cons(sk5,nil)))|sk1=app(app(sk7,cons(sk5,nil)),app(sk8,app(cons(sk6,nil),sk9)))|~spl0_69),
% 0.16/0.42 inference(paramodulation,[status(thm)],[f977,f375])).
% 0.16/0.42 fof(f1059,plain,(
% 0.16/0.42 ~spl0_80|~spl0_13|~spl0_14|spl0_81|~spl0_69),
% 0.16/0.42 inference(split_clause,[status(thm)],[f1058,f1052,f552,f555,f1055,f976])).
% 0.16/0.42 fof(f1122,plain,(
% 0.16/0.42 spl0_93 <=> memberP(sk1,sk6)),
% 0.16/0.42 introduced(split_symbol_definition)).
% 0.16/0.42 fof(f1123,plain,(
% 0.16/0.42 memberP(sk1,sk6)|~spl0_93),
% 0.16/0.42 inference(component_clause,[status(thm)],[f1122])).
% 0.16/0.42 fof(f1125,plain,(
% 0.16/0.42 ~ssItem(sk6)|memberP(sk1,sk6)|~ssList(nil)|~ssList(app(app(sk7,cons(sk5,nil)),sk8))|~ssItem(sk6)|~ssList(app(app(app(sk7,cons(sk5,nil)),sk8),cons(sk6,nil)))|~spl0_74),
% 0.16/0.42 inference(resolution,[status(thm)],[f1002,f512])).
% 0.16/0.42 fof(f1126,plain,(
% 0.16/0.42 ~spl0_18|spl0_93|~spl0_10|~spl0_12|~spl0_9|~spl0_74),
% 0.16/0.42 inference(split_clause,[status(thm)],[f1125,f577,f1122,f537,f545,f534,f1001])).
% 0.16/0.42 fof(f1139,plain,(
% 0.16/0.42 spl0_96 <=> sk6=sk10),
% 0.16/0.42 introduced(split_symbol_definition)).
% 0.16/0.42 fof(f1140,plain,(
% 0.16/0.42 sk6=sk10|~spl0_96),
% 0.16/0.42 inference(component_clause,[status(thm)],[f1139])).
% 0.16/0.42 fof(f1142,plain,(
% 0.16/0.42 ~ssItem(sk6)|sk6=sk10|~spl0_93|~spl0_64),
% 0.16/0.42 inference(resolution,[status(thm)],[f1123,f975])).
% 0.16/0.42 fof(f1143,plain,(
% 0.16/0.42 ~spl0_18|spl0_96|~spl0_93|~spl0_64),
% 0.16/0.42 inference(split_clause,[status(thm)],[f1142,f577,f1139,f1122,f945])).
% 0.16/0.42 fof(f1148,plain,(
% 0.16/0.42 ![X0]: (~memberP(sk1,X0)|~ssItem(X0)|X0=sk6|~spl0_96|~spl0_64)),
% 0.16/0.42 inference(backward_demodulation,[status(thm)],[f1140,f975])).
% 0.16/0.42 fof(f1151,plain,(
% 0.16/0.42 cons(sk6,nil)=sk1|~spl0_96|~spl0_5),
% 0.16/0.42 inference(backward_demodulation,[status(thm)],[f1140,f599])).
% 0.16/0.42 fof(f1247,plain,(
% 0.16/0.42 ~ssList(app(sk1,sk9))|~spl0_96|~spl0_5|spl0_80),
% 0.16/0.42 inference(forward_demodulation,[status(thm)],[f1151,f1054])).
% 0.16/0.42 fof(f1248,plain,(
% 0.16/0.42 ~ssList(sk9)|~ssList(sk1)|~spl0_96|~spl0_5|spl0_80),
% 0.16/0.42 inference(resolution,[status(thm)],[f1247,f292])).
% 0.16/0.42 fof(f1249,plain,(
% 0.16/0.42 ~spl0_8|~spl0_20|~spl0_96|~spl0_5|spl0_80),
% 0.16/0.42 inference(split_clause,[status(thm)],[f1248,f531,f594,f1139,f478,f1052])).
% 0.16/0.42 fof(f1250,plain,(
% 0.16/0.42 sk1=app(app(sk7,cons(sk5,nil)),app(sk8,app(sk1,sk9)))|~spl0_96|~spl0_5|~spl0_81),
% 0.16/0.42 inference(forward_demodulation,[status(thm)],[f1151,f1056])).
% 0.16/0.42 fof(f1257,plain,(
% 0.16/0.42 ssList(app(sk1,sk9))|~spl0_96|~spl0_5|~spl0_80),
% 0.16/0.42 inference(forward_demodulation,[status(thm)],[f1151,f1053])).
% 0.16/0.42 fof(f1378,plain,(
% 0.16/0.42 spl0_125 <=> ssList(app(sk1,sk9))),
% 0.16/0.42 introduced(split_symbol_definition)).
% 0.16/0.42 fof(f1380,plain,(
% 0.16/0.42 ~ssList(app(sk1,sk9))|spl0_125),
% 0.16/0.42 inference(component_clause,[status(thm)],[f1378])).
% 0.16/0.42 fof(f1433,plain,(
% 0.16/0.42 $false|~spl0_96|~spl0_5|~spl0_80|spl0_125),
% 0.16/0.42 inference(forward_subsumption_resolution,[status(thm)],[f1380,f1257])).
% 0.16/0.42 fof(f1434,plain,(
% 0.16/0.42 ~spl0_96|~spl0_5|~spl0_80|spl0_125),
% 0.16/0.42 inference(contradiction_clause,[status(thm)],[f1433])).
% 0.16/0.42 fof(f1435,plain,(
% 0.16/0.42 spl0_134 <=> ssList(app(sk8,app(sk1,sk9)))),
% 0.16/0.42 introduced(split_symbol_definition)).
% 0.16/0.42 fof(f1437,plain,(
% 0.16/0.42 ~ssList(app(sk8,app(sk1,sk9)))|spl0_134),
% 0.16/0.42 inference(component_clause,[status(thm)],[f1435])).
% 0.16/0.42 fof(f1463,plain,(
% 0.16/0.42 spl0_140 <=> ~memberP(app(sk7,cons(sk5,nil)),X0)|~ssItem(X0)|memberP(sk1,X0)),
% 0.16/0.42 introduced(split_symbol_definition)).
% 0.16/0.42 fof(f1464,plain,(
% 0.16/0.42 ![X0]: (~memberP(app(sk7,cons(sk5,nil)),X0)|~ssItem(X0)|memberP(sk1,X0)|~spl0_140)),
% 0.16/0.42 inference(component_clause,[status(thm)],[f1463])).
% 0.16/0.42 fof(f1466,plain,(
% 0.16/0.42 ![X0]: (~memberP(app(sk7,cons(sk5,nil)),X0)|~ssList(app(sk8,app(sk1,sk9)))|~ssList(app(sk7,cons(sk5,nil)))|~ssItem(X0)|memberP(sk1,X0)|~spl0_96|~spl0_5|~spl0_81)),
% 0.16/0.42 inference(paramodulation,[status(thm)],[f1250,f361])).
% 0.16/0.42 fof(f1467,plain,(
% 0.16/0.42 spl0_140|~spl0_134|~spl0_14|~spl0_96|~spl0_5|~spl0_81),
% 0.16/0.42 inference(split_clause,[status(thm)],[f1466,f1463,f1435,f555,f1139,f478,f1055])).
% 0.16/0.42 fof(f1499,plain,(
% 0.16/0.42 ~ssList(app(sk1,sk9))|~ssList(sk8)|spl0_134),
% 0.16/0.42 inference(resolution,[status(thm)],[f1437,f292])).
% 0.16/0.42 fof(f1500,plain,(
% 0.16/0.42 ~spl0_125|~spl0_13|spl0_134),
% 0.16/0.42 inference(split_clause,[status(thm)],[f1499,f1378,f552,f1435])).
% 0.16/0.42 fof(f1512,plain,(
% 0.16/0.42 spl0_148 <=> memberP(sk1,sk5)),
% 0.16/0.42 introduced(split_symbol_definition)).
% 0.16/0.42 fof(f1513,plain,(
% 0.16/0.42 memberP(sk1,sk5)|~spl0_148),
% 0.16/0.42 inference(component_clause,[status(thm)],[f1512])).
% 0.16/0.42 fof(f1515,plain,(
% 0.16/0.42 ~ssItem(sk5)|memberP(sk1,sk5)|~ssList(nil)|~ssList(sk7)|~ssItem(sk5)|~ssList(app(sk7,cons(sk5,nil)))|~spl0_140),
% 0.16/0.42 inference(resolution,[status(thm)],[f1464,f512])).
% 0.16/0.42 fof(f1516,plain,(
% 0.16/0.42 ~spl0_17|spl0_148|~spl0_10|~spl0_16|~spl0_14|~spl0_140),
% 0.16/0.42 inference(split_clause,[status(thm)],[f1515,f572,f1512,f537,f565,f555,f1463])).
% 0.16/0.42 fof(f1529,plain,(
% 0.16/0.42 ~ssItem(sk5)|sk5=sk6|~spl0_148|~spl0_96|~spl0_64),
% 0.16/0.42 inference(resolution,[status(thm)],[f1513,f1148])).
% 0.16/0.42 fof(f1530,plain,(
% 0.16/0.42 ~spl0_17|spl0_26|~spl0_148|~spl0_96|~spl0_64),
% 0.16/0.42 inference(split_clause,[status(thm)],[f1529,f572,f644,f1512,f1139,f945])).
% 0.16/0.42 fof(f1567,plain,(
% 0.16/0.42 ~ssItem(sk5)|~spl0_26),
% 0.16/0.42 inference(resolution,[status(thm)],[f665,f269])).
% 0.16/0.42 fof(f1568,plain,(
% 0.16/0.42 ~spl0_17|~spl0_26),
% 0.16/0.42 inference(split_clause,[status(thm)],[f1567,f572,f644])).
% 0.16/0.42 fof(f1569,plain,(
% 0.16/0.42 $false|spl0_78),
% 0.16/0.42 inference(trivial_equality_resolution,[status(esa)],[f1039])).
% 0.16/0.42 fof(f1570,plain,(
% 0.16/0.42 spl0_78),
% 0.16/0.42 inference(contradiction_clause,[status(thm)],[f1569])).
% 0.16/0.42 fof(f1589,plain,(
% 0.16/0.42 memberP(nil,sk6)|~spl0_4|~spl0_93),
% 0.16/0.42 inference(forward_demodulation,[status(thm)],[f524,f1123])).
% 0.16/0.42 fof(f1590,plain,(
% 0.16/0.42 ~ssItem(sk6)|~spl0_4|~spl0_93),
% 0.16/0.42 inference(resolution,[status(thm)],[f1589,f277])).
% 0.16/0.42 fof(f1591,plain,(
% 0.16/0.42 ~spl0_18|~spl0_4|~spl0_93),
% 0.16/0.42 inference(split_clause,[status(thm)],[f1590,f577,f474,f1122])).
% 0.16/0.42 fof(f1592,plain,(
% 0.16/0.42 $false),
% 0.16/0.42 inference(sat_refutation,[status(thm)],[f477,f490,f549,f551,f559,f561,f569,f571,f576,f581,f583,f585,f598,f621,f949,f980,f1005,f1059,f1126,f1143,f1249,f1434,f1467,f1500,f1516,f1530,f1568,f1570,f1591])).
% 0.16/0.42 % SZS output end CNFRefutation for theBenchmark.p
% 0.16/0.43 % Elapsed time: 0.116372 seconds
% 0.16/0.43 % CPU time: 0.649997 seconds
% 0.16/0.43 % Total memory used: 74.675 MB
% 0.16/0.43 % Net memory used: 73.925 MB
%------------------------------------------------------------------------------