TSTP Solution File: SWC188-1 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% 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 : n020.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 20:44:53 EDT 2024
% Result : Unsatisfiable 0.20s 0.49s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : SWC188-1 : TPTP v8.1.2. Released v2.4.0.
% 0.12/0.14 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.14/0.35 % Computer : n020.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Tue Apr 30 00:01:32 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.37 % Drodi V3.6.0
% 0.20/0.49 % Refutation found
% 0.20/0.49 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.20/0.49 % SZS output start CNFRefutation for theBenchmark
% 0.20/0.49 fof(f8,axiom,(
% 0.20/0.49 ssList(nil) ),
% 0.20/0.49 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.49 fof(f71,axiom,(
% 0.20/0.49 (![U]: (( ~ memberP(nil,U)| ~ ssItem(U) ) ))),
% 0.20/0.49 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.49 fof(f85,axiom,(
% 0.20/0.49 (![U,V]: (( ~ ssList(U)| ~ ssList(V)| ssList(app(V,U)) ) ))),
% 0.20/0.49 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.49 fof(f86,axiom,(
% 0.20/0.49 (![U,V]: (( ~ ssItem(U)| ~ ssList(V)| ssList(cons(U,V)) ) ))),
% 0.20/0.49 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.49 fof(f140,axiom,(
% 0.20/0.49 (![U,V,W]: (( ~ memberP(U,V)| ~ ssList(W)| ~ ssList(U)| ~ ssItem(V)| memberP(app(U,W),V) ) ))),
% 0.20/0.49 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.49 fof(f161,axiom,(
% 0.20/0.49 (![U,V,W]: (( ~ memberP(cons(U,V),W)| ~ ssList(V)| ~ ssItem(U)| ~ ssItem(W)| memberP(V,W)| W = U ) ))),
% 0.20/0.49 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.49 fof(f175,axiom,(
% 0.20/0.49 (![U,V,W,X]: (( app(U,cons(V,W)) != X| ~ ssList(W)| ~ ssList(U)| ~ ssItem(V)| ~ ssList(X)| memberP(X,V) ) ))),
% 0.20/0.49 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.49 fof(f191,negated_conjecture,(
% 0.20/0.49 sk1 = sk3 ),
% 0.20/0.49 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.49 fof(f192,negated_conjecture,(
% 0.20/0.49 ssItem(sk5) ),
% 0.20/0.49 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.49 fof(f193,negated_conjecture,(
% 0.20/0.49 ssItem(sk6) ),
% 0.20/0.49 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.49 fof(f194,negated_conjecture,(
% 0.20/0.49 ssList(sk7) ),
% 0.20/0.49 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.49 fof(f195,negated_conjecture,(
% 0.20/0.49 ssList(sk8) ),
% 0.20/0.49 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.49 fof(f196,negated_conjecture,(
% 0.20/0.49 app(app(app(sk7,cons(sk5,nil)),cons(sk6,nil)),sk8) = sk1 ),
% 0.20/0.49 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.49 fof(f197,negated_conjecture,(
% 0.20/0.49 sk5 != sk6 ),
% 0.20/0.49 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.49 fof(f199,negated_conjecture,(
% 0.20/0.49 ( ssItem(sk9)| nil = sk3 ) ),
% 0.20/0.49 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.49 fof(f203,negated_conjecture,(
% 0.20/0.49 ( cons(sk9,nil) = sk3| nil = sk3 ) ),
% 0.20/0.49 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.49 fof(f213,plain,(
% 0.20/0.49 ssList(nil)),
% 0.20/0.49 inference(cnf_transformation,[status(esa)],[f8])).
% 0.20/0.49 fof(f276,plain,(
% 0.20/0.49 ![X0]: (~memberP(nil,X0)|~ssItem(X0))),
% 0.20/0.49 inference(cnf_transformation,[status(esa)],[f71])).
% 0.20/0.49 fof(f291,plain,(
% 0.20/0.49 ![X0,X1]: (~ssList(X0)|~ssList(X1)|ssList(app(X1,X0)))),
% 0.20/0.49 inference(cnf_transformation,[status(esa)],[f85])).
% 0.20/0.49 fof(f292,plain,(
% 0.20/0.49 ![X0,X1]: (~ssItem(X0)|~ssList(X1)|ssList(cons(X0,X1)))),
% 0.20/0.49 inference(cnf_transformation,[status(esa)],[f86])).
% 0.20/0.49 fof(f360,plain,(
% 0.20/0.49 ![X0,X1,X2]: (~memberP(X0,X1)|~ssList(X2)|~ssList(X0)|~ssItem(X1)|memberP(app(X0,X2),X1))),
% 0.20/0.49 inference(cnf_transformation,[status(esa)],[f140])).
% 0.20/0.49 fof(f396,plain,(
% 0.20/0.49 ![U,W]: ((![V]: ((((~memberP(cons(U,V),W)|~ssList(V))|~ssItem(U))|~ssItem(W))|memberP(V,W)))|W=U)),
% 0.20/0.49 inference(miniscoping,[status(esa)],[f161])).
% 0.20/0.49 fof(f397,plain,(
% 0.20/0.49 ![X0,X1,X2]: (~memberP(cons(X0,X1),X2)|~ssList(X1)|~ssItem(X0)|~ssItem(X2)|memberP(X1,X2)|X2=X0)),
% 0.20/0.49 inference(cnf_transformation,[status(esa)],[f396])).
% 0.20/0.49 fof(f415,plain,(
% 0.20/0.49 ![V,X]: ((((![U]: ((![W]: (~app(U,cons(V,W))=X|~ssList(W)))|~ssList(U)))|~ssItem(V))|~ssList(X))|memberP(X,V))),
% 0.20/0.49 inference(miniscoping,[status(esa)],[f175])).
% 0.20/0.49 fof(f416,plain,(
% 0.20/0.49 ![X0,X1,X2,X3]: (~app(X0,cons(X1,X2))=X3|~ssList(X2)|~ssList(X0)|~ssItem(X1)|~ssList(X3)|memberP(X3,X1))),
% 0.20/0.49 inference(cnf_transformation,[status(esa)],[f415])).
% 0.20/0.49 fof(f441,plain,(
% 0.20/0.49 sk1=sk3),
% 0.20/0.49 inference(cnf_transformation,[status(esa)],[f191])).
% 0.20/0.49 fof(f442,plain,(
% 0.20/0.49 ssItem(sk5)),
% 0.20/0.49 inference(cnf_transformation,[status(esa)],[f192])).
% 0.20/0.49 fof(f443,plain,(
% 0.20/0.49 ssItem(sk6)),
% 0.20/0.49 inference(cnf_transformation,[status(esa)],[f193])).
% 0.20/0.49 fof(f444,plain,(
% 0.20/0.49 ssList(sk7)),
% 0.20/0.49 inference(cnf_transformation,[status(esa)],[f194])).
% 0.20/0.49 fof(f445,plain,(
% 0.20/0.49 ssList(sk8)),
% 0.20/0.49 inference(cnf_transformation,[status(esa)],[f195])).
% 0.20/0.49 fof(f446,plain,(
% 0.20/0.49 app(app(app(sk7,cons(sk5,nil)),cons(sk6,nil)),sk8)=sk1),
% 0.20/0.50 inference(cnf_transformation,[status(esa)],[f196])).
% 0.20/0.50 fof(f447,plain,(
% 0.20/0.50 ~sk5=sk6),
% 0.20/0.50 inference(cnf_transformation,[status(esa)],[f197])).
% 0.20/0.50 fof(f449,plain,(
% 0.20/0.50 ssItem(sk9)|nil=sk3),
% 0.20/0.50 inference(cnf_transformation,[status(esa)],[f199])).
% 0.20/0.50 fof(f454,plain,(
% 0.20/0.50 cons(sk9,nil)=sk3|nil=sk3),
% 0.20/0.50 inference(cnf_transformation,[status(esa)],[f203])).
% 0.20/0.50 fof(f465,plain,(
% 0.20/0.50 spl0_2 <=> ssItem(sk9)),
% 0.20/0.50 introduced(split_symbol_definition)).
% 0.20/0.50 fof(f472,plain,(
% 0.20/0.50 spl0_4 <=> nil=sk3),
% 0.20/0.50 introduced(split_symbol_definition)).
% 0.20/0.50 fof(f473,plain,(
% 0.20/0.50 nil=sk3|~spl0_4),
% 0.20/0.50 inference(component_clause,[status(thm)],[f472])).
% 0.20/0.50 fof(f475,plain,(
% 0.20/0.50 spl0_2|spl0_4),
% 0.20/0.50 inference(split_clause,[status(thm)],[f449,f465,f472])).
% 0.20/0.50 fof(f476,plain,(
% 0.20/0.50 spl0_5 <=> cons(sk9,nil)=sk3),
% 0.20/0.50 introduced(split_symbol_definition)).
% 0.20/0.50 fof(f477,plain,(
% 0.20/0.50 cons(sk9,nil)=sk3|~spl0_5),
% 0.20/0.50 inference(component_clause,[status(thm)],[f476])).
% 0.20/0.50 fof(f488,plain,(
% 0.20/0.50 spl0_5|spl0_4),
% 0.20/0.50 inference(split_clause,[status(thm)],[f454,f476,f472])).
% 0.20/0.50 fof(f510,plain,(
% 0.20/0.50 ![X0,X1,X2]: (~ssList(X0)|~ssList(X1)|~ssItem(X2)|~ssList(app(X1,cons(X2,X0)))|memberP(app(X1,cons(X2,X0)),X2))),
% 0.20/0.50 inference(destructive_equality_resolution,[status(esa)],[f416])).
% 0.20/0.50 fof(f522,plain,(
% 0.20/0.50 nil=sk1|~spl0_4),
% 0.20/0.50 inference(forward_demodulation,[status(thm)],[f441,f473])).
% 0.20/0.50 fof(f529,plain,(
% 0.20/0.50 spl0_8 <=> ssList(sk8)),
% 0.20/0.50 introduced(split_symbol_definition)).
% 0.20/0.50 fof(f531,plain,(
% 0.20/0.50 ~ssList(sk8)|spl0_8),
% 0.20/0.50 inference(component_clause,[status(thm)],[f529])).
% 0.20/0.50 fof(f532,plain,(
% 0.20/0.50 spl0_9 <=> ssList(app(app(sk7,cons(sk5,nil)),cons(sk6,nil)))),
% 0.20/0.50 introduced(split_symbol_definition)).
% 0.20/0.50 fof(f534,plain,(
% 0.20/0.50 ~ssList(app(app(sk7,cons(sk5,nil)),cons(sk6,nil)))|spl0_9),
% 0.20/0.50 inference(component_clause,[status(thm)],[f532])).
% 0.20/0.50 fof(f535,plain,(
% 0.20/0.50 spl0_10 <=> ssList(nil)),
% 0.20/0.50 introduced(split_symbol_definition)).
% 0.20/0.50 fof(f537,plain,(
% 0.20/0.50 ~ssList(nil)|spl0_10),
% 0.20/0.50 inference(component_clause,[status(thm)],[f535])).
% 0.20/0.50 fof(f540,plain,(
% 0.20/0.50 spl0_11 <=> ssList(cons(sk6,nil))),
% 0.20/0.50 introduced(split_symbol_definition)).
% 0.20/0.50 fof(f542,plain,(
% 0.20/0.50 ~ssList(cons(sk6,nil))|spl0_11),
% 0.20/0.50 inference(component_clause,[status(thm)],[f540])).
% 0.20/0.50 fof(f543,plain,(
% 0.20/0.50 spl0_12 <=> ssList(app(sk7,cons(sk5,nil)))),
% 0.20/0.50 introduced(split_symbol_definition)).
% 0.20/0.50 fof(f545,plain,(
% 0.20/0.50 ~ssList(app(sk7,cons(sk5,nil)))|spl0_12),
% 0.20/0.50 inference(component_clause,[status(thm)],[f543])).
% 0.20/0.50 fof(f546,plain,(
% 0.20/0.50 ~ssList(cons(sk6,nil))|~ssList(app(sk7,cons(sk5,nil)))|spl0_9),
% 0.20/0.50 inference(resolution,[status(thm)],[f534,f291])).
% 0.20/0.50 fof(f547,plain,(
% 0.20/0.50 ~spl0_11|~spl0_12|spl0_9),
% 0.20/0.50 inference(split_clause,[status(thm)],[f546,f540,f543,f532])).
% 0.20/0.50 fof(f548,plain,(
% 0.20/0.50 $false|spl0_8),
% 0.20/0.50 inference(forward_subsumption_resolution,[status(thm)],[f531,f445])).
% 0.20/0.50 fof(f549,plain,(
% 0.20/0.50 spl0_8),
% 0.20/0.50 inference(contradiction_clause,[status(thm)],[f548])).
% 0.20/0.50 fof(f550,plain,(
% 0.20/0.50 spl0_13 <=> ssList(cons(sk5,nil))),
% 0.20/0.50 introduced(split_symbol_definition)).
% 0.20/0.50 fof(f552,plain,(
% 0.20/0.50 ~ssList(cons(sk5,nil))|spl0_13),
% 0.20/0.50 inference(component_clause,[status(thm)],[f550])).
% 0.20/0.50 fof(f553,plain,(
% 0.20/0.50 spl0_14 <=> ssList(sk7)),
% 0.20/0.50 introduced(split_symbol_definition)).
% 0.20/0.50 fof(f555,plain,(
% 0.20/0.50 ~ssList(sk7)|spl0_14),
% 0.20/0.50 inference(component_clause,[status(thm)],[f553])).
% 0.20/0.50 fof(f556,plain,(
% 0.20/0.50 ~ssList(cons(sk5,nil))|~ssList(sk7)|spl0_12),
% 0.20/0.50 inference(resolution,[status(thm)],[f545,f291])).
% 0.20/0.50 fof(f557,plain,(
% 0.20/0.50 ~spl0_13|~spl0_14|spl0_12),
% 0.20/0.50 inference(split_clause,[status(thm)],[f556,f550,f553,f543])).
% 0.20/0.50 fof(f558,plain,(
% 0.20/0.50 $false|spl0_14),
% 0.20/0.50 inference(forward_subsumption_resolution,[status(thm)],[f555,f444])).
% 0.20/0.50 fof(f559,plain,(
% 0.20/0.50 spl0_14),
% 0.20/0.50 inference(contradiction_clause,[status(thm)],[f558])).
% 0.20/0.50 fof(f560,plain,(
% 0.20/0.50 spl0_15 <=> ssItem(sk6)),
% 0.20/0.50 introduced(split_symbol_definition)).
% 0.20/0.50 fof(f562,plain,(
% 0.20/0.50 ~ssItem(sk6)|spl0_15),
% 0.20/0.50 inference(component_clause,[status(thm)],[f560])).
% 0.20/0.50 fof(f563,plain,(
% 0.20/0.50 ~ssItem(sk6)|~ssList(nil)|spl0_11),
% 0.20/0.50 inference(resolution,[status(thm)],[f292,f542])).
% 0.20/0.50 fof(f564,plain,(
% 0.20/0.50 ~spl0_15|~spl0_10|spl0_11),
% 0.20/0.50 inference(split_clause,[status(thm)],[f563,f560,f535,f540])).
% 0.20/0.50 fof(f565,plain,(
% 0.20/0.50 spl0_16 <=> ssItem(sk5)),
% 0.20/0.50 introduced(split_symbol_definition)).
% 0.20/0.50 fof(f567,plain,(
% 0.20/0.50 ~ssItem(sk5)|spl0_16),
% 0.20/0.50 inference(component_clause,[status(thm)],[f565])).
% 0.20/0.50 fof(f568,plain,(
% 0.20/0.50 ~ssItem(sk5)|~ssList(nil)|spl0_13),
% 0.20/0.50 inference(resolution,[status(thm)],[f292,f552])).
% 0.20/0.50 fof(f569,plain,(
% 0.20/0.50 ~spl0_16|~spl0_10|spl0_13),
% 0.20/0.50 inference(split_clause,[status(thm)],[f568,f565,f535,f550])).
% 0.20/0.50 fof(f570,plain,(
% 0.20/0.50 $false|spl0_16),
% 0.20/0.50 inference(forward_subsumption_resolution,[status(thm)],[f567,f442])).
% 0.20/0.50 fof(f571,plain,(
% 0.20/0.50 spl0_16),
% 0.20/0.50 inference(contradiction_clause,[status(thm)],[f570])).
% 0.20/0.50 fof(f572,plain,(
% 0.20/0.50 $false|spl0_15),
% 0.20/0.50 inference(forward_subsumption_resolution,[status(thm)],[f562,f443])).
% 0.20/0.50 fof(f573,plain,(
% 0.20/0.50 spl0_15),
% 0.20/0.50 inference(contradiction_clause,[status(thm)],[f572])).
% 0.20/0.50 fof(f577,plain,(
% 0.20/0.50 cons(sk9,nil)=sk1|~spl0_5),
% 0.20/0.50 inference(forward_demodulation,[status(thm)],[f441,f477])).
% 0.20/0.50 fof(f603,plain,(
% 0.20/0.50 $false|spl0_10),
% 0.20/0.50 inference(forward_subsumption_resolution,[status(thm)],[f213,f537])).
% 0.20/0.50 fof(f604,plain,(
% 0.20/0.50 spl0_10),
% 0.20/0.50 inference(contradiction_clause,[status(thm)],[f603])).
% 0.20/0.50 fof(f612,plain,(
% 0.20/0.50 nil=sk3|~spl0_4),
% 0.20/0.50 inference(backward_demodulation,[status(thm)],[f522,f441])).
% 0.20/0.50 fof(f702,plain,(
% 0.20/0.50 spl0_32 <=> ~memberP(sk1,X0)|~ssItem(X0)|memberP(nil,X0)|X0=sk9),
% 0.20/0.50 introduced(split_symbol_definition)).
% 0.20/0.50 fof(f703,plain,(
% 0.20/0.50 ![X0]: (~memberP(sk1,X0)|~ssItem(X0)|memberP(nil,X0)|X0=sk9|~spl0_32)),
% 0.20/0.50 inference(component_clause,[status(thm)],[f702])).
% 0.20/0.50 fof(f705,plain,(
% 0.20/0.50 ![X0]: (~memberP(sk1,X0)|~ssList(nil)|~ssItem(sk9)|~ssItem(X0)|memberP(nil,X0)|X0=sk9|~spl0_5)),
% 0.20/0.50 inference(paramodulation,[status(thm)],[f577,f397])).
% 0.20/0.50 fof(f706,plain,(
% 0.20/0.50 spl0_32|~spl0_10|~spl0_2|~spl0_5),
% 0.20/0.50 inference(split_clause,[status(thm)],[f705,f702,f535,f465,f476])).
% 0.20/0.50 fof(f707,plain,(
% 0.20/0.50 ![X0]: (~memberP(sk1,X0)|~ssItem(X0)|X0=sk9|~spl0_32)),
% 0.20/0.50 inference(forward_subsumption_resolution,[status(thm)],[f703,f276])).
% 0.20/0.50 fof(f771,plain,(
% 0.20/0.50 spl0_43 <=> ~memberP(app(app(sk7,cons(sk5,nil)),cons(sk6,nil)),X0)|~ssItem(X0)|memberP(sk1,X0)),
% 0.20/0.50 introduced(split_symbol_definition)).
% 0.20/0.50 fof(f772,plain,(
% 0.20/0.50 ![X0]: (~memberP(app(app(sk7,cons(sk5,nil)),cons(sk6,nil)),X0)|~ssItem(X0)|memberP(sk1,X0)|~spl0_43)),
% 0.20/0.50 inference(component_clause,[status(thm)],[f771])).
% 0.20/0.50 fof(f774,plain,(
% 0.20/0.50 ![X0]: (~memberP(app(app(sk7,cons(sk5,nil)),cons(sk6,nil)),X0)|~ssList(sk8)|~ssList(app(app(sk7,cons(sk5,nil)),cons(sk6,nil)))|~ssItem(X0)|memberP(sk1,X0))),
% 0.20/0.50 inference(paramodulation,[status(thm)],[f446,f360])).
% 0.20/0.50 fof(f775,plain,(
% 0.20/0.50 spl0_43|~spl0_8|~spl0_9),
% 0.20/0.50 inference(split_clause,[status(thm)],[f774,f771,f529,f532])).
% 0.20/0.50 fof(f823,plain,(
% 0.20/0.50 spl0_52 <=> memberP(sk1,sk6)),
% 0.20/0.50 introduced(split_symbol_definition)).
% 0.20/0.50 fof(f824,plain,(
% 0.20/0.50 memberP(sk1,sk6)|~spl0_52),
% 0.20/0.50 inference(component_clause,[status(thm)],[f823])).
% 0.20/0.50 fof(f826,plain,(
% 0.20/0.50 ~ssItem(sk6)|memberP(sk1,sk6)|~ssList(nil)|~ssList(app(sk7,cons(sk5,nil)))|~ssItem(sk6)|~ssList(app(app(sk7,cons(sk5,nil)),cons(sk6,nil)))|~spl0_43),
% 0.20/0.50 inference(resolution,[status(thm)],[f772,f510])).
% 0.20/0.50 fof(f827,plain,(
% 0.20/0.50 ~spl0_15|spl0_52|~spl0_10|~spl0_12|~spl0_9|~spl0_43),
% 0.20/0.50 inference(split_clause,[status(thm)],[f826,f560,f823,f535,f543,f532,f771])).
% 0.20/0.50 fof(f833,plain,(
% 0.20/0.50 spl0_54 <=> ~ssItem(X0)|memberP(sk1,X0)|~memberP(app(sk7,cons(sk5,nil)),X0)|~ssItem(X0)),
% 0.20/0.50 introduced(split_symbol_definition)).
% 0.20/0.50 fof(f834,plain,(
% 0.20/0.50 ![X0]: (~ssItem(X0)|memberP(sk1,X0)|~memberP(app(sk7,cons(sk5,nil)),X0)|~ssItem(X0)|~spl0_54)),
% 0.20/0.50 inference(component_clause,[status(thm)],[f833])).
% 0.20/0.50 fof(f836,plain,(
% 0.20/0.50 ![X0]: (~ssItem(X0)|memberP(sk1,X0)|~memberP(app(sk7,cons(sk5,nil)),X0)|~ssList(cons(sk6,nil))|~ssList(app(sk7,cons(sk5,nil)))|~ssItem(X0)|~spl0_43)),
% 0.20/0.50 inference(resolution,[status(thm)],[f772,f360])).
% 0.20/0.50 fof(f837,plain,(
% 0.20/0.50 spl0_54|~spl0_11|~spl0_12|~spl0_43),
% 0.20/0.50 inference(split_clause,[status(thm)],[f836,f833,f540,f543,f771])).
% 0.20/0.50 fof(f839,plain,(
% 0.20/0.50 ![X0]: (~ssItem(X0)|memberP(sk1,X0)|~memberP(app(sk7,cons(sk5,nil)),X0)|~spl0_54)),
% 0.20/0.50 inference(duplicate_literals_removal,[status(esa)],[f834])).
% 0.20/0.50 fof(f851,plain,(
% 0.20/0.50 spl0_55 <=> sk6=sk9),
% 0.20/0.50 introduced(split_symbol_definition)).
% 0.20/0.50 fof(f852,plain,(
% 0.20/0.50 sk6=sk9|~spl0_55),
% 0.20/0.50 inference(component_clause,[status(thm)],[f851])).
% 0.20/0.50 fof(f854,plain,(
% 0.20/0.50 ~ssItem(sk6)|sk6=sk9|~spl0_52|~spl0_32),
% 0.20/0.50 inference(resolution,[status(thm)],[f824,f707])).
% 0.20/0.50 fof(f855,plain,(
% 0.20/0.50 ~spl0_15|spl0_55|~spl0_52|~spl0_32),
% 0.20/0.50 inference(split_clause,[status(thm)],[f854,f560,f851,f823,f702])).
% 0.20/0.50 fof(f860,plain,(
% 0.20/0.50 nil=sk1|~spl0_4),
% 0.20/0.50 inference(forward_demodulation,[status(thm)],[f441,f612])).
% 0.20/0.50 fof(f864,plain,(
% 0.20/0.50 memberP(nil,sk6)|~spl0_4|~spl0_52),
% 0.20/0.50 inference(backward_demodulation,[status(thm)],[f860,f824])).
% 0.20/0.50 fof(f874,plain,(
% 0.20/0.50 ~ssItem(sk6)|~spl0_4|~spl0_52),
% 0.20/0.50 inference(resolution,[status(thm)],[f864,f276])).
% 0.20/0.50 fof(f875,plain,(
% 0.20/0.50 ~spl0_15|~spl0_4|~spl0_52),
% 0.20/0.50 inference(split_clause,[status(thm)],[f874,f560,f472,f823])).
% 0.20/0.50 fof(f899,plain,(
% 0.20/0.50 ![X0]: (~memberP(sk1,X0)|~ssItem(X0)|X0=sk6|~spl0_55|~spl0_32)),
% 0.20/0.50 inference(forward_demodulation,[status(thm)],[f852,f707])).
% 0.20/0.50 fof(f1270,plain,(
% 0.20/0.50 spl0_107 <=> memberP(sk1,sk5)),
% 0.20/0.50 introduced(split_symbol_definition)).
% 0.20/0.50 fof(f1271,plain,(
% 0.20/0.50 memberP(sk1,sk5)|~spl0_107),
% 0.20/0.50 inference(component_clause,[status(thm)],[f1270])).
% 0.20/0.50 fof(f1273,plain,(
% 0.20/0.50 ~ssItem(sk5)|memberP(sk1,sk5)|~ssList(nil)|~ssList(sk7)|~ssItem(sk5)|~ssList(app(sk7,cons(sk5,nil)))|~spl0_54),
% 0.20/0.50 inference(resolution,[status(thm)],[f839,f510])).
% 0.20/0.50 fof(f1274,plain,(
% 0.20/0.50 ~spl0_16|spl0_107|~spl0_10|~spl0_14|~spl0_12|~spl0_54),
% 0.20/0.50 inference(split_clause,[status(thm)],[f1273,f565,f1270,f535,f553,f543,f833])).
% 0.20/0.50 fof(f1286,plain,(
% 0.20/0.50 spl0_110 <=> sk5=sk6),
% 0.20/0.50 introduced(split_symbol_definition)).
% 0.20/0.50 fof(f1287,plain,(
% 0.20/0.50 sk5=sk6|~spl0_110),
% 0.20/0.50 inference(component_clause,[status(thm)],[f1286])).
% 0.20/0.50 fof(f1289,plain,(
% 0.20/0.50 ~ssItem(sk5)|sk5=sk6|~spl0_107|~spl0_55|~spl0_32),
% 0.20/0.50 inference(resolution,[status(thm)],[f1271,f899])).
% 0.20/0.50 fof(f1290,plain,(
% 0.20/0.50 ~spl0_16|spl0_110|~spl0_107|~spl0_55|~spl0_32),
% 0.20/0.50 inference(split_clause,[status(thm)],[f1289,f565,f1286,f1270,f851,f702])).
% 0.20/0.50 fof(f1291,plain,(
% 0.20/0.50 $false|~spl0_110),
% 0.20/0.50 inference(forward_subsumption_resolution,[status(thm)],[f1287,f447])).
% 0.20/0.50 fof(f1292,plain,(
% 0.20/0.50 ~spl0_110),
% 0.20/0.50 inference(contradiction_clause,[status(thm)],[f1291])).
% 0.20/0.50 fof(f1293,plain,(
% 0.20/0.50 $false),
% 0.20/0.50 inference(sat_refutation,[status(thm)],[f475,f488,f547,f549,f557,f559,f564,f569,f571,f573,f604,f706,f775,f827,f837,f855,f875,f1274,f1290,f1292])).
% 0.20/0.50 % SZS output end CNFRefutation for theBenchmark.p
% 0.20/0.50 % Elapsed time: 0.144644 seconds
% 0.20/0.50 % CPU time: 1.017088 seconds
% 0.20/0.50 % Total memory used: 76.816 MB
% 0.20/0.50 % Net memory used: 76.079 MB
%------------------------------------------------------------------------------