TSTP Solution File: SWC299-1 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : SWC299-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n005.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 20:45:16 EDT 2024
% Result : Unsatisfiable 0.19s 0.51s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : SWC299-1 : TPTP v8.1.2. Released v2.4.0.
% 0.10/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34 % Computer : n005.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Apr 30 00:09:56 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.13/0.36 % Drodi V3.6.0
% 0.19/0.51 % Refutation found
% 0.19/0.51 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.19/0.51 % SZS output start CNFRefutation for theBenchmark
% 0.19/0.51 fof(f8,axiom,(
% 0.19/0.51 ssList(nil) ),
% 0.19/0.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.51 fof(f36,axiom,(
% 0.19/0.51 (![U]: (ssItem(skaf59(U)) ))),
% 0.19/0.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.51 fof(f71,axiom,(
% 0.19/0.51 (![U]: (( ~ memberP(nil,U)| ~ ssItem(U) ) ))),
% 0.19/0.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.51 fof(f85,axiom,(
% 0.19/0.51 (![U,V]: (( ~ ssList(U)| ~ ssList(V)| ssList(app(V,U)) ) ))),
% 0.19/0.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.51 fof(f86,axiom,(
% 0.19/0.51 (![U,V]: (( ~ ssItem(U)| ~ ssList(V)| ssList(cons(U,V)) ) ))),
% 0.19/0.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.51 fof(f114,axiom,(
% 0.19/0.51 (![U,V]: (( ~ lt(U,V)| ~ lt(V,U)| ~ ssItem(U)| ~ ssItem(V) ) ))),
% 0.19/0.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.51 fof(f140,axiom,(
% 0.19/0.51 (![U,V,W]: (( ~ memberP(U,V)| ~ ssList(W)| ~ ssList(U)| ~ ssItem(V)| memberP(app(U,W),V) ) ))),
% 0.19/0.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.51 fof(f149,axiom,(
% 0.19/0.51 (![U,V,W]: (( ~ ssList(U)| ~ ssList(V)| ~ ssList(W)| app(app(W,V),U) = app(W,app(V,U)) ) ))),
% 0.19/0.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.51 fof(f161,axiom,(
% 0.19/0.51 (![U,V,W]: (( ~ memberP(cons(U,V),W)| ~ ssList(V)| ~ ssItem(U)| ~ ssItem(W)| memberP(V,W)| W = U ) ))),
% 0.19/0.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.51 fof(f175,axiom,(
% 0.19/0.51 (![U,V,W,X]: (( app(U,cons(V,W)) != X| ~ ssList(W)| ~ ssList(U)| ~ ssItem(V)| ~ ssList(X)| memberP(X,V) ) ))),
% 0.19/0.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.51 fof(f186,negated_conjecture,(
% 0.19/0.51 ssList(sk1) ),
% 0.19/0.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.51 fof(f191,negated_conjecture,(
% 0.19/0.51 sk1 = sk3 ),
% 0.19/0.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.51 fof(f192,negated_conjecture,(
% 0.19/0.51 ssItem(sk5) ),
% 0.19/0.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.51 fof(f193,negated_conjecture,(
% 0.19/0.51 ssItem(sk6) ),
% 0.19/0.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.51 fof(f194,negated_conjecture,(
% 0.19/0.51 ssList(sk7) ),
% 0.19/0.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.51 fof(f195,negated_conjecture,(
% 0.19/0.51 ssList(sk8) ),
% 0.19/0.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.51 fof(f196,negated_conjecture,(
% 0.19/0.51 ssList(sk9) ),
% 0.19/0.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.51 fof(f197,negated_conjecture,(
% 0.19/0.51 app(app(app(app(sk7,cons(sk5,nil)),sk8),cons(sk6,nil)),sk9) = sk1 ),
% 0.19/0.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.51 fof(f198,negated_conjecture,(
% 0.19/0.51 lt(sk6,sk5) ),
% 0.19/0.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.51 fof(f200,negated_conjecture,(
% 0.19/0.51 ( ssItem(sk10)| nil = sk3 ) ),
% 0.19/0.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.51 fof(f209,negated_conjecture,(
% 0.19/0.51 ( cons(sk10,nil) = sk3| nil = sk3 ) ),
% 0.19/0.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.51 fof(f220,plain,(
% 0.19/0.51 ssList(nil)),
% 0.19/0.51 inference(cnf_transformation,[status(esa)],[f8])).
% 0.19/0.51 fof(f248,plain,(
% 0.19/0.51 ![X0]: (ssItem(skaf59(X0)))),
% 0.19/0.51 inference(cnf_transformation,[status(esa)],[f36])).
% 0.19/0.51 fof(f283,plain,(
% 0.19/0.51 ![X0]: (~memberP(nil,X0)|~ssItem(X0))),
% 0.19/0.51 inference(cnf_transformation,[status(esa)],[f71])).
% 0.19/0.51 fof(f298,plain,(
% 0.19/0.51 ![X0,X1]: (~ssList(X0)|~ssList(X1)|ssList(app(X1,X0)))),
% 0.19/0.51 inference(cnf_transformation,[status(esa)],[f85])).
% 0.19/0.51 fof(f299,plain,(
% 0.19/0.51 ![X0,X1]: (~ssItem(X0)|~ssList(X1)|ssList(cons(X0,X1)))),
% 0.19/0.51 inference(cnf_transformation,[status(esa)],[f86])).
% 0.19/0.51 fof(f331,plain,(
% 0.19/0.51 ![V]: ((![U]: ((~lt(U,V)|~lt(V,U))|~ssItem(U)))|~ssItem(V))),
% 0.19/0.51 inference(miniscoping,[status(esa)],[f114])).
% 0.19/0.51 fof(f332,plain,(
% 0.19/0.51 ![X0,X1]: (~lt(X0,X1)|~lt(X1,X0)|~ssItem(X0)|~ssItem(X1))),
% 0.19/0.51 inference(cnf_transformation,[status(esa)],[f331])).
% 0.19/0.51 fof(f367,plain,(
% 0.19/0.51 ![X0,X1,X2]: (~memberP(X0,X1)|~ssList(X2)|~ssList(X0)|~ssItem(X1)|memberP(app(X0,X2),X1))),
% 0.19/0.51 inference(cnf_transformation,[status(esa)],[f140])).
% 0.19/0.51 fof(f381,plain,(
% 0.19/0.51 ![X0,X1,X2]: (~ssList(X0)|~ssList(X1)|~ssList(X2)|app(app(X2,X1),X0)=app(X2,app(X1,X0)))),
% 0.19/0.51 inference(cnf_transformation,[status(esa)],[f149])).
% 0.19/0.51 fof(f403,plain,(
% 0.19/0.51 ![U,W]: ((![V]: ((((~memberP(cons(U,V),W)|~ssList(V))|~ssItem(U))|~ssItem(W))|memberP(V,W)))|W=U)),
% 0.19/0.51 inference(miniscoping,[status(esa)],[f161])).
% 0.19/0.51 fof(f404,plain,(
% 0.19/0.51 ![X0,X1,X2]: (~memberP(cons(X0,X1),X2)|~ssList(X1)|~ssItem(X0)|~ssItem(X2)|memberP(X1,X2)|X2=X0)),
% 0.19/0.51 inference(cnf_transformation,[status(esa)],[f403])).
% 0.19/0.51 fof(f422,plain,(
% 0.19/0.51 ![V,X]: ((((![U]: ((![W]: (~app(U,cons(V,W))=X|~ssList(W)))|~ssList(U)))|~ssItem(V))|~ssList(X))|memberP(X,V))),
% 0.19/0.51 inference(miniscoping,[status(esa)],[f175])).
% 0.19/0.51 fof(f423,plain,(
% 0.19/0.51 ![X0,X1,X2,X3]: (~app(X0,cons(X1,X2))=X3|~ssList(X2)|~ssList(X0)|~ssItem(X1)|~ssList(X3)|memberP(X3,X1))),
% 0.19/0.51 inference(cnf_transformation,[status(esa)],[f422])).
% 0.19/0.51 fof(f443,plain,(
% 0.19/0.51 ssList(sk1)),
% 0.19/0.51 inference(cnf_transformation,[status(esa)],[f186])).
% 0.19/0.51 fof(f448,plain,(
% 0.19/0.51 sk1=sk3),
% 0.19/0.51 inference(cnf_transformation,[status(esa)],[f191])).
% 0.19/0.51 fof(f449,plain,(
% 0.19/0.51 ssItem(sk5)),
% 0.19/0.51 inference(cnf_transformation,[status(esa)],[f192])).
% 0.19/0.51 fof(f450,plain,(
% 0.19/0.51 ssItem(sk6)),
% 0.19/0.51 inference(cnf_transformation,[status(esa)],[f193])).
% 0.19/0.51 fof(f451,plain,(
% 0.19/0.51 ssList(sk7)),
% 0.19/0.51 inference(cnf_transformation,[status(esa)],[f194])).
% 0.19/0.51 fof(f452,plain,(
% 0.19/0.51 ssList(sk8)),
% 0.19/0.51 inference(cnf_transformation,[status(esa)],[f195])).
% 0.19/0.51 fof(f453,plain,(
% 0.19/0.51 ssList(sk9)),
% 0.19/0.51 inference(cnf_transformation,[status(esa)],[f196])).
% 0.19/0.51 fof(f454,plain,(
% 0.19/0.51 app(app(app(app(sk7,cons(sk5,nil)),sk8),cons(sk6,nil)),sk9)=sk1),
% 0.19/0.51 inference(cnf_transformation,[status(esa)],[f197])).
% 0.19/0.51 fof(f455,plain,(
% 0.19/0.51 lt(sk6,sk5)),
% 0.19/0.51 inference(cnf_transformation,[status(esa)],[f198])).
% 0.19/0.51 fof(f457,plain,(
% 0.19/0.51 ssItem(sk10)|nil=sk3),
% 0.19/0.51 inference(cnf_transformation,[status(esa)],[f200])).
% 0.19/0.51 fof(f468,plain,(
% 0.19/0.51 cons(sk10,nil)=sk3|nil=sk3),
% 0.19/0.51 inference(cnf_transformation,[status(esa)],[f209])).
% 0.19/0.51 fof(f481,plain,(
% 0.19/0.51 spl0_2 <=> ssItem(sk10)),
% 0.19/0.51 introduced(split_symbol_definition)).
% 0.19/0.51 fof(f488,plain,(
% 0.19/0.51 spl0_4 <=> nil=sk3),
% 0.19/0.51 introduced(split_symbol_definition)).
% 0.19/0.51 fof(f489,plain,(
% 0.19/0.51 nil=sk3|~spl0_4),
% 0.19/0.51 inference(component_clause,[status(thm)],[f488])).
% 0.19/0.51 fof(f491,plain,(
% 0.19/0.51 spl0_2|spl0_4),
% 0.19/0.51 inference(split_clause,[status(thm)],[f457,f481,f488])).
% 0.19/0.51 fof(f500,plain,(
% 0.19/0.51 spl0_7 <=> cons(sk10,nil)=sk3),
% 0.19/0.51 introduced(split_symbol_definition)).
% 0.19/0.51 fof(f501,plain,(
% 0.19/0.51 cons(sk10,nil)=sk3|~spl0_7),
% 0.19/0.51 inference(component_clause,[status(thm)],[f500])).
% 0.19/0.51 fof(f518,plain,(
% 0.19/0.51 spl0_7|spl0_4),
% 0.19/0.51 inference(split_clause,[status(thm)],[f468,f500,f488])).
% 0.19/0.51 fof(f541,plain,(
% 0.19/0.51 ![X0,X1,X2]: (~ssList(X0)|~ssList(X1)|~ssItem(X2)|~ssList(app(X1,cons(X2,X0)))|memberP(app(X1,cons(X2,X0)),X2))),
% 0.19/0.51 inference(destructive_equality_resolution,[status(esa)],[f423])).
% 0.19/0.51 fof(f553,plain,(
% 0.19/0.51 nil=sk1|~spl0_4),
% 0.19/0.51 inference(forward_demodulation,[status(thm)],[f448,f489])).
% 0.19/0.51 fof(f560,plain,(
% 0.19/0.51 spl0_11 <=> ssList(sk9)),
% 0.19/0.51 introduced(split_symbol_definition)).
% 0.19/0.51 fof(f562,plain,(
% 0.19/0.51 ~ssList(sk9)|spl0_11),
% 0.19/0.51 inference(component_clause,[status(thm)],[f560])).
% 0.19/0.51 fof(f563,plain,(
% 0.19/0.51 spl0_12 <=> ssList(app(app(app(sk7,cons(sk5,nil)),sk8),cons(sk6,nil)))),
% 0.19/0.51 introduced(split_symbol_definition)).
% 0.19/0.51 fof(f565,plain,(
% 0.19/0.51 ~ssList(app(app(app(sk7,cons(sk5,nil)),sk8),cons(sk6,nil)))|spl0_12),
% 0.19/0.51 inference(component_clause,[status(thm)],[f563])).
% 0.19/0.51 fof(f566,plain,(
% 0.19/0.51 spl0_13 <=> ssList(nil)),
% 0.19/0.51 introduced(split_symbol_definition)).
% 0.19/0.51 fof(f568,plain,(
% 0.19/0.51 ~ssList(nil)|spl0_13),
% 0.19/0.51 inference(component_clause,[status(thm)],[f566])).
% 0.19/0.51 fof(f571,plain,(
% 0.19/0.51 spl0_14 <=> ssList(cons(sk6,nil))),
% 0.19/0.51 introduced(split_symbol_definition)).
% 0.19/0.51 fof(f573,plain,(
% 0.19/0.51 ~ssList(cons(sk6,nil))|spl0_14),
% 0.19/0.51 inference(component_clause,[status(thm)],[f571])).
% 0.19/0.51 fof(f574,plain,(
% 0.19/0.51 spl0_15 <=> ssList(app(app(sk7,cons(sk5,nil)),sk8))),
% 0.19/0.51 introduced(split_symbol_definition)).
% 0.19/0.51 fof(f576,plain,(
% 0.19/0.51 ~ssList(app(app(sk7,cons(sk5,nil)),sk8))|spl0_15),
% 0.19/0.51 inference(component_clause,[status(thm)],[f574])).
% 0.19/0.51 fof(f577,plain,(
% 0.19/0.51 ~ssList(cons(sk6,nil))|~ssList(app(app(sk7,cons(sk5,nil)),sk8))|spl0_12),
% 0.19/0.51 inference(resolution,[status(thm)],[f565,f298])).
% 0.19/0.51 fof(f578,plain,(
% 0.19/0.51 ~spl0_14|~spl0_15|spl0_12),
% 0.19/0.51 inference(split_clause,[status(thm)],[f577,f571,f574,f563])).
% 0.19/0.51 fof(f579,plain,(
% 0.19/0.51 $false|spl0_11),
% 0.19/0.51 inference(forward_subsumption_resolution,[status(thm)],[f562,f453])).
% 0.19/0.51 fof(f580,plain,(
% 0.19/0.51 spl0_11),
% 0.19/0.51 inference(contradiction_clause,[status(thm)],[f579])).
% 0.19/0.51 fof(f581,plain,(
% 0.19/0.51 spl0_16 <=> ssList(sk8)),
% 0.19/0.51 introduced(split_symbol_definition)).
% 0.19/0.51 fof(f583,plain,(
% 0.19/0.51 ~ssList(sk8)|spl0_16),
% 0.19/0.51 inference(component_clause,[status(thm)],[f581])).
% 0.19/0.51 fof(f584,plain,(
% 0.19/0.51 spl0_17 <=> ssList(app(sk7,cons(sk5,nil)))),
% 0.19/0.51 introduced(split_symbol_definition)).
% 0.19/0.51 fof(f586,plain,(
% 0.19/0.51 ~ssList(app(sk7,cons(sk5,nil)))|spl0_17),
% 0.19/0.51 inference(component_clause,[status(thm)],[f584])).
% 0.19/0.51 fof(f587,plain,(
% 0.19/0.51 ~ssList(sk8)|~ssList(app(sk7,cons(sk5,nil)))|spl0_15),
% 0.19/0.51 inference(resolution,[status(thm)],[f576,f298])).
% 0.19/0.51 fof(f588,plain,(
% 0.19/0.51 ~spl0_16|~spl0_17|spl0_15),
% 0.19/0.51 inference(split_clause,[status(thm)],[f587,f581,f584,f574])).
% 0.19/0.51 fof(f589,plain,(
% 0.19/0.51 $false|spl0_16),
% 0.19/0.51 inference(forward_subsumption_resolution,[status(thm)],[f583,f452])).
% 0.19/0.51 fof(f590,plain,(
% 0.19/0.51 spl0_16),
% 0.19/0.51 inference(contradiction_clause,[status(thm)],[f589])).
% 0.19/0.51 fof(f591,plain,(
% 0.19/0.51 spl0_18 <=> ssList(cons(sk5,nil))),
% 0.19/0.51 introduced(split_symbol_definition)).
% 0.19/0.51 fof(f593,plain,(
% 0.19/0.51 ~ssList(cons(sk5,nil))|spl0_18),
% 0.19/0.51 inference(component_clause,[status(thm)],[f591])).
% 0.19/0.51 fof(f594,plain,(
% 0.19/0.51 spl0_19 <=> ssList(sk7)),
% 0.19/0.51 introduced(split_symbol_definition)).
% 0.19/0.51 fof(f596,plain,(
% 0.19/0.51 ~ssList(sk7)|spl0_19),
% 0.19/0.51 inference(component_clause,[status(thm)],[f594])).
% 0.19/0.51 fof(f597,plain,(
% 0.19/0.51 ~ssList(cons(sk5,nil))|~ssList(sk7)|spl0_17),
% 0.19/0.51 inference(resolution,[status(thm)],[f586,f298])).
% 0.19/0.51 fof(f598,plain,(
% 0.19/0.51 ~spl0_18|~spl0_19|spl0_17),
% 0.19/0.51 inference(split_clause,[status(thm)],[f597,f591,f594,f584])).
% 0.19/0.51 fof(f599,plain,(
% 0.19/0.51 $false|spl0_19),
% 0.19/0.51 inference(forward_subsumption_resolution,[status(thm)],[f596,f451])).
% 0.19/0.51 fof(f600,plain,(
% 0.19/0.51 spl0_19),
% 0.19/0.51 inference(contradiction_clause,[status(thm)],[f599])).
% 0.19/0.51 fof(f601,plain,(
% 0.19/0.51 spl0_20 <=> ssItem(sk5)),
% 0.19/0.51 introduced(split_symbol_definition)).
% 0.19/0.51 fof(f603,plain,(
% 0.19/0.51 ~ssItem(sk5)|spl0_20),
% 0.19/0.51 inference(component_clause,[status(thm)],[f601])).
% 0.19/0.51 fof(f604,plain,(
% 0.19/0.51 ~ssItem(sk5)|~ssList(nil)|spl0_18),
% 0.19/0.51 inference(resolution,[status(thm)],[f299,f593])).
% 0.19/0.51 fof(f605,plain,(
% 0.19/0.51 ~spl0_20|~spl0_13|spl0_18),
% 0.19/0.51 inference(split_clause,[status(thm)],[f604,f601,f566,f591])).
% 0.19/0.51 fof(f606,plain,(
% 0.19/0.51 spl0_21 <=> ssItem(sk6)),
% 0.19/0.51 introduced(split_symbol_definition)).
% 0.19/0.51 fof(f608,plain,(
% 0.19/0.51 ~ssItem(sk6)|spl0_21),
% 0.19/0.51 inference(component_clause,[status(thm)],[f606])).
% 0.19/0.51 fof(f609,plain,(
% 0.19/0.51 ~ssItem(sk6)|~ssList(nil)|spl0_14),
% 0.19/0.51 inference(resolution,[status(thm)],[f299,f573])).
% 0.19/0.51 fof(f610,plain,(
% 0.19/0.51 ~spl0_21|~spl0_13|spl0_14),
% 0.19/0.51 inference(split_clause,[status(thm)],[f609,f606,f566,f571])).
% 0.19/0.51 fof(f611,plain,(
% 0.19/0.51 $false|spl0_20),
% 0.19/0.51 inference(forward_subsumption_resolution,[status(thm)],[f603,f449])).
% 0.19/0.51 fof(f612,plain,(
% 0.19/0.51 spl0_20),
% 0.19/0.51 inference(contradiction_clause,[status(thm)],[f611])).
% 0.19/0.51 fof(f613,plain,(
% 0.19/0.51 $false|spl0_21),
% 0.19/0.51 inference(forward_subsumption_resolution,[status(thm)],[f608,f450])).
% 0.19/0.51 fof(f614,plain,(
% 0.19/0.51 spl0_21),
% 0.19/0.51 inference(contradiction_clause,[status(thm)],[f613])).
% 0.19/0.51 fof(f622,plain,(
% 0.19/0.51 cons(sk10,nil)=sk1|~spl0_7),
% 0.19/0.51 inference(backward_demodulation,[status(thm)],[f448,f501])).
% 0.19/0.51 fof(f626,plain,(
% 0.19/0.51 spl0_23 <=> ssList(sk1)),
% 0.19/0.51 introduced(split_symbol_definition)).
% 0.19/0.51 fof(f628,plain,(
% 0.19/0.51 ~ssList(sk1)|spl0_23),
% 0.19/0.51 inference(component_clause,[status(thm)],[f626])).
% 0.19/0.51 fof(f643,plain,(
% 0.19/0.51 $false|spl0_23),
% 0.19/0.51 inference(forward_subsumption_resolution,[status(thm)],[f628,f443])).
% 0.19/0.51 fof(f644,plain,(
% 0.19/0.51 spl0_23),
% 0.19/0.51 inference(contradiction_clause,[status(thm)],[f643])).
% 0.19/0.51 fof(f653,plain,(
% 0.19/0.51 $false|spl0_13),
% 0.19/0.51 inference(forward_subsumption_resolution,[status(thm)],[f220,f568])).
% 0.19/0.51 fof(f654,plain,(
% 0.19/0.51 spl0_13),
% 0.19/0.51 inference(contradiction_clause,[status(thm)],[f653])).
% 0.19/0.51 fof(f661,plain,(
% 0.19/0.51 spl0_26 <=> lt(sk5,sk6)),
% 0.19/0.51 introduced(split_symbol_definition)).
% 0.19/0.51 fof(f663,plain,(
% 0.19/0.51 ~lt(sk5,sk6)|spl0_26),
% 0.19/0.51 inference(component_clause,[status(thm)],[f661])).
% 0.19/0.51 fof(f664,plain,(
% 0.19/0.51 ~lt(sk5,sk6)|~ssItem(sk5)|~ssItem(sk6)),
% 0.19/0.51 inference(resolution,[status(thm)],[f332,f455])).
% 0.19/0.51 fof(f665,plain,(
% 0.19/0.51 ~spl0_26|~spl0_20|~spl0_21),
% 0.19/0.51 inference(split_clause,[status(thm)],[f664,f661,f601,f606])).
% 0.19/0.51 fof(f725,plain,(
% 0.19/0.51 spl0_35 <=> ~ssItem(X0)|~ssItem(X0)),
% 0.19/0.51 introduced(split_symbol_definition)).
% 0.19/0.51 fof(f726,plain,(
% 0.19/0.51 ![X0]: (~ssItem(X0)|~ssItem(X0)|~spl0_35)),
% 0.19/0.51 inference(component_clause,[status(thm)],[f725])).
% 0.19/0.51 fof(f730,plain,(
% 0.19/0.51 ![X0]: (~ssItem(X0)|~spl0_35)),
% 0.19/0.51 inference(duplicate_literals_removal,[status(esa)],[f726])).
% 0.19/0.51 fof(f788,plain,(
% 0.19/0.51 spl0_45 <=> sk1=app(app(app(sk7,cons(sk5,nil)),sk8),app(cons(sk6,nil),sk9))),
% 0.19/0.51 introduced(split_symbol_definition)).
% 0.19/0.51 fof(f789,plain,(
% 0.19/0.51 sk1=app(app(app(sk7,cons(sk5,nil)),sk8),app(cons(sk6,nil),sk9))|~spl0_45),
% 0.19/0.51 inference(component_clause,[status(thm)],[f788])).
% 0.19/0.51 fof(f791,plain,(
% 0.19/0.51 ~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))),
% 0.19/0.51 inference(paramodulation,[status(thm)],[f454,f381])).
% 0.19/0.51 fof(f792,plain,(
% 0.19/0.51 ~spl0_11|~spl0_14|~spl0_15|spl0_45),
% 0.19/0.51 inference(split_clause,[status(thm)],[f791,f560,f571,f574,f788])).
% 0.19/0.51 fof(f803,plain,(
% 0.19/0.51 spl0_48 <=> ~memberP(app(app(app(sk7,cons(sk5,nil)),sk8),cons(sk6,nil)),X0)|~ssItem(X0)|memberP(sk1,X0)),
% 0.19/0.51 introduced(split_symbol_definition)).
% 0.19/0.51 fof(f804,plain,(
% 0.19/0.51 ![X0]: (~memberP(app(app(app(sk7,cons(sk5,nil)),sk8),cons(sk6,nil)),X0)|~ssItem(X0)|memberP(sk1,X0)|~spl0_48)),
% 0.19/0.51 inference(component_clause,[status(thm)],[f803])).
% 0.19/0.51 fof(f806,plain,(
% 0.19/0.51 ![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))),
% 0.19/0.51 inference(paramodulation,[status(thm)],[f454,f367])).
% 0.19/0.51 fof(f807,plain,(
% 0.19/0.51 spl0_48|~spl0_11|~spl0_12),
% 0.19/0.51 inference(split_clause,[status(thm)],[f806,f803,f560,f563])).
% 0.19/0.51 fof(f900,plain,(
% 0.19/0.51 spl0_59 <=> sk6=sk5),
% 0.19/0.51 introduced(split_symbol_definition)).
% 0.19/0.51 fof(f901,plain,(
% 0.19/0.51 sk6=sk5|~spl0_59),
% 0.19/0.51 inference(component_clause,[status(thm)],[f900])).
% 0.19/0.51 fof(f1003,plain,(
% 0.19/0.51 spl0_77 <=> ~memberP(sk1,X0)|~ssItem(X0)|memberP(nil,X0)|X0=sk10),
% 0.19/0.51 introduced(split_symbol_definition)).
% 0.19/0.51 fof(f1004,plain,(
% 0.19/0.51 ![X0]: (~memberP(sk1,X0)|~ssItem(X0)|memberP(nil,X0)|X0=sk10|~spl0_77)),
% 0.19/0.51 inference(component_clause,[status(thm)],[f1003])).
% 0.19/0.51 fof(f1006,plain,(
% 0.19/0.51 ![X0]: (~memberP(sk1,X0)|~ssList(nil)|~ssItem(sk10)|~ssItem(X0)|memberP(nil,X0)|X0=sk10|~spl0_7)),
% 0.19/0.51 inference(paramodulation,[status(thm)],[f622,f404])).
% 0.19/0.51 fof(f1007,plain,(
% 0.19/0.51 spl0_77|~spl0_13|~spl0_2|~spl0_7),
% 0.19/0.51 inference(split_clause,[status(thm)],[f1006,f1003,f566,f481,f500])).
% 0.19/0.51 fof(f1030,plain,(
% 0.19/0.51 ![X0]: (~memberP(sk1,X0)|~ssItem(X0)|X0=sk10|~spl0_77)),
% 0.19/0.51 inference(forward_subsumption_resolution,[status(thm)],[f1004,f283])).
% 0.19/0.51 fof(f1109,plain,(
% 0.19/0.51 spl0_94 <=> sk1=sk1),
% 0.19/0.51 introduced(split_symbol_definition)).
% 0.19/0.51 fof(f1111,plain,(
% 0.19/0.51 ~sk1=sk1|spl0_94),
% 0.19/0.51 inference(component_clause,[status(thm)],[f1109])).
% 0.19/0.51 fof(f1118,plain,(
% 0.19/0.51 spl0_95 <=> memberP(sk1,sk6)),
% 0.19/0.51 introduced(split_symbol_definition)).
% 0.19/0.51 fof(f1119,plain,(
% 0.19/0.51 memberP(sk1,sk6)|~spl0_95),
% 0.19/0.51 inference(component_clause,[status(thm)],[f1118])).
% 0.19/0.51 fof(f1121,plain,(
% 0.19/0.51 ~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_48),
% 0.19/0.51 inference(resolution,[status(thm)],[f804,f541])).
% 0.19/0.51 fof(f1122,plain,(
% 0.19/0.51 ~spl0_21|spl0_95|~spl0_13|~spl0_15|~spl0_12|~spl0_48),
% 0.19/0.51 inference(split_clause,[status(thm)],[f1121,f606,f1118,f566,f574,f563,f803])).
% 0.19/0.51 fof(f1142,plain,(
% 0.19/0.51 spl0_99 <=> sk6=sk10),
% 0.19/0.51 introduced(split_symbol_definition)).
% 0.19/0.51 fof(f1143,plain,(
% 0.19/0.51 sk6=sk10|~spl0_99),
% 0.19/0.51 inference(component_clause,[status(thm)],[f1142])).
% 0.19/0.51 fof(f1145,plain,(
% 0.19/0.51 ~ssItem(sk6)|sk6=sk10|~spl0_95|~spl0_77),
% 0.19/0.51 inference(resolution,[status(thm)],[f1119,f1030])).
% 0.19/0.51 fof(f1146,plain,(
% 0.19/0.51 ~spl0_21|spl0_99|~spl0_95|~spl0_77),
% 0.19/0.51 inference(split_clause,[status(thm)],[f1145,f606,f1142,f1118,f1003])).
% 0.19/0.51 fof(f1149,plain,(
% 0.19/0.51 ![X0]: (~memberP(sk1,X0)|~ssItem(X0)|X0=sk6|~spl0_99|~spl0_77)),
% 0.19/0.51 inference(backward_demodulation,[status(thm)],[f1143,f1030])).
% 0.19/0.51 fof(f1150,plain,(
% 0.19/0.51 cons(sk6,nil)=sk1|~spl0_99|~spl0_7),
% 0.19/0.51 inference(backward_demodulation,[status(thm)],[f1143,f622])).
% 0.19/0.51 fof(f1238,plain,(
% 0.19/0.51 spl0_110 <=> sk2=sk2),
% 0.19/0.51 introduced(split_symbol_definition)).
% 0.19/0.51 fof(f1240,plain,(
% 0.19/0.51 ~sk2=sk2|spl0_110),
% 0.19/0.51 inference(component_clause,[status(thm)],[f1238])).
% 0.19/0.51 fof(f1357,plain,(
% 0.19/0.51 sk1=app(app(app(sk7,cons(sk5,nil)),sk8),app(sk1,sk9))|~spl0_99|~spl0_7|~spl0_45),
% 0.19/0.51 inference(forward_demodulation,[status(thm)],[f1150,f789])).
% 0.19/0.51 fof(f1358,plain,(
% 0.19/0.51 spl0_129 <=> ssList(app(sk1,sk9))),
% 0.19/0.51 introduced(split_symbol_definition)).
% 0.19/0.51 fof(f1360,plain,(
% 0.19/0.51 ~ssList(app(sk1,sk9))|spl0_129),
% 0.19/0.51 inference(component_clause,[status(thm)],[f1358])).
% 0.19/0.51 fof(f1361,plain,(
% 0.19/0.51 spl0_130 <=> sk1=app(app(sk7,cons(sk5,nil)),app(sk8,app(sk1,sk9)))),
% 0.19/0.51 introduced(split_symbol_definition)).
% 0.19/0.51 fof(f1362,plain,(
% 0.19/0.51 sk1=app(app(sk7,cons(sk5,nil)),app(sk8,app(sk1,sk9)))|~spl0_130),
% 0.19/0.51 inference(component_clause,[status(thm)],[f1361])).
% 0.19/0.51 fof(f1364,plain,(
% 0.19/0.51 ~ssList(app(sk1,sk9))|~ssList(sk8)|~ssList(app(sk7,cons(sk5,nil)))|sk1=app(app(sk7,cons(sk5,nil)),app(sk8,app(sk1,sk9)))|~spl0_99|~spl0_7|~spl0_45),
% 0.19/0.51 inference(paramodulation,[status(thm)],[f1357,f381])).
% 0.19/0.51 fof(f1365,plain,(
% 0.19/0.51 ~spl0_129|~spl0_16|~spl0_17|spl0_130|~spl0_99|~spl0_7|~spl0_45),
% 0.19/0.51 inference(split_clause,[status(thm)],[f1364,f1358,f581,f584,f1361,f1142,f500,f788])).
% 0.19/0.51 fof(f1420,plain,(
% 0.19/0.51 ~ssList(sk9)|~ssList(sk1)|spl0_129),
% 0.19/0.51 inference(resolution,[status(thm)],[f1360,f298])).
% 0.19/0.51 fof(f1421,plain,(
% 0.19/0.51 ~spl0_11|~spl0_23|spl0_129),
% 0.19/0.51 inference(split_clause,[status(thm)],[f1420,f560,f626,f1358])).
% 0.19/0.51 fof(f1473,plain,(
% 0.19/0.51 spl0_148 <=> ssList(app(sk8,app(sk1,sk9)))),
% 0.19/0.51 introduced(split_symbol_definition)).
% 0.19/0.51 fof(f1475,plain,(
% 0.19/0.51 ~ssList(app(sk8,app(sk1,sk9)))|spl0_148),
% 0.19/0.51 inference(component_clause,[status(thm)],[f1473])).
% 0.19/0.51 fof(f1501,plain,(
% 0.19/0.51 spl0_154 <=> ~memberP(app(sk7,cons(sk5,nil)),X0)|~ssItem(X0)|memberP(sk1,X0)),
% 0.19/0.51 introduced(split_symbol_definition)).
% 0.19/0.51 fof(f1502,plain,(
% 0.19/0.51 ![X0]: (~memberP(app(sk7,cons(sk5,nil)),X0)|~ssItem(X0)|memberP(sk1,X0)|~spl0_154)),
% 0.19/0.51 inference(component_clause,[status(thm)],[f1501])).
% 0.19/0.51 fof(f1504,plain,(
% 0.19/0.51 ![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_130)),
% 0.19/0.51 inference(paramodulation,[status(thm)],[f1362,f367])).
% 0.19/0.51 fof(f1505,plain,(
% 0.19/0.51 spl0_154|~spl0_148|~spl0_17|~spl0_130),
% 0.19/0.51 inference(split_clause,[status(thm)],[f1504,f1501,f1473,f584,f1361])).
% 0.19/0.51 fof(f1537,plain,(
% 0.19/0.51 ~ssList(app(sk1,sk9))|~ssList(sk8)|spl0_148),
% 0.19/0.51 inference(resolution,[status(thm)],[f1475,f298])).
% 0.19/0.51 fof(f1538,plain,(
% 0.19/0.51 ~spl0_129|~spl0_16|spl0_148),
% 0.19/0.51 inference(split_clause,[status(thm)],[f1537,f1358,f581,f1473])).
% 0.19/0.51 fof(f1550,plain,(
% 0.19/0.51 spl0_162 <=> memberP(sk1,sk5)),
% 0.19/0.51 introduced(split_symbol_definition)).
% 0.19/0.51 fof(f1551,plain,(
% 0.19/0.51 memberP(sk1,sk5)|~spl0_162),
% 0.19/0.51 inference(component_clause,[status(thm)],[f1550])).
% 0.19/0.51 fof(f1553,plain,(
% 0.19/0.51 ~ssItem(sk5)|memberP(sk1,sk5)|~ssList(nil)|~ssList(sk7)|~ssItem(sk5)|~ssList(app(sk7,cons(sk5,nil)))|~spl0_154),
% 0.19/0.51 inference(resolution,[status(thm)],[f1502,f541])).
% 0.19/0.51 fof(f1554,plain,(
% 0.19/0.51 ~spl0_20|spl0_162|~spl0_13|~spl0_19|~spl0_17|~spl0_154),
% 0.19/0.51 inference(split_clause,[status(thm)],[f1553,f601,f1550,f566,f594,f584,f1501])).
% 0.19/0.51 fof(f1572,plain,(
% 0.19/0.51 ~ssItem(sk5)|sk5=sk6|~spl0_162|~spl0_99|~spl0_77),
% 0.19/0.51 inference(resolution,[status(thm)],[f1551,f1149])).
% 0.19/0.51 fof(f1573,plain,(
% 0.19/0.51 ~spl0_20|spl0_59|~spl0_162|~spl0_99|~spl0_77),
% 0.19/0.51 inference(split_clause,[status(thm)],[f1572,f601,f900,f1550,f1142,f1003])).
% 0.19/0.51 fof(f1588,plain,(
% 0.19/0.51 ~lt(sk5,sk5)|~spl0_59|spl0_26),
% 0.19/0.51 inference(backward_demodulation,[status(thm)],[f901,f663])).
% 0.19/0.51 fof(f1589,plain,(
% 0.19/0.51 lt(sk5,sk5)|~spl0_59),
% 0.19/0.51 inference(backward_demodulation,[status(thm)],[f901,f455])).
% 0.19/0.51 fof(f1599,plain,(
% 0.19/0.51 $false|spl0_26|~spl0_59),
% 0.19/0.51 inference(forward_subsumption_resolution,[status(thm)],[f1589,f1588])).
% 0.19/0.51 fof(f1600,plain,(
% 0.19/0.51 spl0_26|~spl0_59),
% 0.19/0.51 inference(contradiction_clause,[status(thm)],[f1599])).
% 0.19/0.51 fof(f1601,plain,(
% 0.19/0.51 $false|spl0_110),
% 0.19/0.51 inference(trivial_equality_resolution,[status(esa)],[f1240])).
% 0.19/0.51 fof(f1602,plain,(
% 0.19/0.51 spl0_110),
% 0.19/0.51 inference(contradiction_clause,[status(thm)],[f1601])).
% 0.19/0.51 fof(f1603,plain,(
% 0.19/0.51 $false|spl0_94),
% 0.19/0.51 inference(trivial_equality_resolution,[status(esa)],[f1111])).
% 0.19/0.51 fof(f1604,plain,(
% 0.19/0.51 spl0_94),
% 0.19/0.51 inference(contradiction_clause,[status(thm)],[f1603])).
% 0.19/0.51 fof(f1619,plain,(
% 0.19/0.51 $false|~spl0_35),
% 0.19/0.51 inference(backward_subsumption_resolution,[status(thm)],[f248,f730])).
% 0.19/0.51 fof(f1620,plain,(
% 0.19/0.51 ~spl0_35),
% 0.19/0.51 inference(contradiction_clause,[status(thm)],[f1619])).
% 0.19/0.51 fof(f1748,plain,(
% 0.19/0.51 memberP(nil,sk6)|~spl0_4|~spl0_95),
% 0.19/0.51 inference(forward_demodulation,[status(thm)],[f553,f1119])).
% 0.19/0.51 fof(f1750,plain,(
% 0.19/0.51 ~ssItem(sk6)|~spl0_4|~spl0_95),
% 0.19/0.51 inference(resolution,[status(thm)],[f1748,f283])).
% 0.19/0.51 fof(f1751,plain,(
% 0.19/0.51 ~spl0_21|~spl0_4|~spl0_95),
% 0.19/0.51 inference(split_clause,[status(thm)],[f1750,f606,f488,f1118])).
% 0.19/0.51 fof(f1752,plain,(
% 0.19/0.51 $false),
% 0.19/0.51 inference(sat_refutation,[status(thm)],[f491,f518,f578,f580,f588,f590,f598,f600,f605,f610,f612,f614,f644,f654,f665,f792,f807,f1007,f1122,f1146,f1365,f1421,f1505,f1538,f1554,f1573,f1600,f1602,f1604,f1620,f1751])).
% 0.19/0.51 % SZS output end CNFRefutation for theBenchmark.p
% 0.19/0.52 % Elapsed time: 0.170830 seconds
% 0.19/0.52 % CPU time: 1.196621 seconds
% 0.19/0.52 % Total memory used: 83.790 MB
% 0.19/0.52 % Net memory used: 82.310 MB
%------------------------------------------------------------------------------