TSTP Solution File: SWC324-1 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : SWC324-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n015.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 20:45:21 EDT 2024
% Result : Unsatisfiable 93.28s 12.12s
% Output : CNFRefutation 93.97s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWC324-1 : TPTP v8.1.2. Released v2.4.0.
% 0.07/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34 % Computer : n015.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 00:26:02 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.13/0.36 % Drodi V3.6.0
% 93.28/12.12 % Refutation found
% 93.28/12.12 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 93.28/12.12 % SZS output start CNFRefutation for theBenchmark
% 93.28/12.12 fof(f8,axiom,(
% 93.28/12.12 ssList(nil) ),
% 93.28/12.12 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 93.28/12.12 fof(f13,axiom,(
% 93.28/12.12 (![U]: (ssList(skaf82(U)) ))),
% 93.28/12.12 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 93.28/12.12 fof(f21,axiom,(
% 93.28/12.12 (![U]: (ssItem(skaf74(U)) ))),
% 93.28/12.12 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 93.28/12.12 fof(f48,axiom,(
% 93.28/12.12 (![U,V]: (ssList(skaf48(U,V)) ))),
% 93.28/12.12 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 93.28/12.12 fof(f50,axiom,(
% 93.28/12.12 (![U,V]: (ssList(skaf46(U,V)) ))),
% 93.28/12.12 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 93.28/12.12 fof(f58,axiom,(
% 93.28/12.12 (![U]: (( ~ ssList(U)| rearsegP(U,nil) ) ))),
% 93.28/12.12 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 93.28/12.12 fof(f72,axiom,(
% 93.28/12.12 (![U,V]: (( ~ ssList(U)| duplicatefreeP(U)| ssItem(V) ) ))),
% 93.28/12.12 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 93.28/12.12 fof(f73,axiom,(
% 93.28/12.12 (![U]: (( ~ ssList(U)| app(U,nil) = U ) ))),
% 93.28/12.12 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 93.28/12.12 fof(f74,axiom,(
% 93.28/12.12 (![U]: (( ~ ssList(U)| app(nil,U) = U ) ))),
% 93.28/12.12 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 93.28/12.12 fof(f85,axiom,(
% 93.28/12.12 (![U,V]: (( ~ ssList(U)| ~ ssList(V)| ssList(app(V,U)) ) ))),
% 93.28/12.12 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 93.28/12.12 fof(f86,axiom,(
% 93.28/12.12 (![U,V]: (( ~ ssItem(U)| ~ ssList(V)| ssList(cons(U,V)) ) ))),
% 93.28/12.12 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 93.28/12.12 fof(f109,axiom,(
% 93.28/12.12 (![U]: (( ~ ssList(U)| cons(skaf83(U),skaf82(U)) = U| nil = U ) ))),
% 93.28/12.12 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 93.28/12.12 fof(f120,axiom,(
% 93.28/12.12 (![U,V]: (( ~ ssItem(U)| ~ ssList(V)| app(cons(U,nil),V) = cons(U,V) ) ))),
% 93.28/12.12 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 93.28/12.12 fof(f131,axiom,(
% 93.28/12.12 (![U,V]: (( ~ rearsegP(U,V)| ~ ssList(V)| ~ ssList(U)| app(skaf46(U,V),V) = U ) ))),
% 93.28/12.12 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 93.28/12.12 fof(f179,axiom,(
% 93.28/12.12 (![U,V,W,X,Y]: (( app(app(U,cons(V,W)),cons(V,X)) != Y| ~ ssList(X)| ~ ssList(W)| ~ ssList(U)| ~ ssItem(V)| ~ duplicatefreeP(Y)| ~ ssList(Y) ) ))),
% 93.28/12.12 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 93.28/12.12 fof(f187,negated_conjecture,(
% 93.28/12.12 ssList(sk2) ),
% 93.28/12.12 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 93.28/12.12 fof(f190,negated_conjecture,(
% 93.28/12.12 sk2 = sk4 ),
% 93.28/12.12 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 93.28/12.12 fof(f191,negated_conjecture,(
% 93.28/12.12 sk1 = sk3 ),
% 93.28/12.12 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 93.28/12.12 fof(f192,negated_conjecture,(
% 93.28/12.12 (![A,B]: (( ~ ssList(A)| ~ ssList(B)| app(A,B) != sk2| app(B,A) != sk1 ) ))),
% 93.28/12.12 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 93.28/12.12 fof(f193,negated_conjecture,(
% 93.28/12.12 (![A,B]: (( ~ ssItem(A)| ~ ssList(B)| app(B,cons(A,nil)) = sk3| app(cons(A,nil),B) != sk4 ) ))),
% 93.28/12.12 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 93.28/12.12 fof(f194,negated_conjecture,(
% 93.28/12.12 ( nil = sk3| nil != sk4 ) ),
% 93.28/12.12 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 93.28/12.12 fof(f202,plain,(
% 93.28/12.12 ssList(nil)),
% 93.28/12.12 inference(cnf_transformation,[status(esa)],[f8])).
% 93.28/12.12 fof(f207,plain,(
% 93.28/12.12 ![X0]: (ssList(skaf82(X0)))),
% 93.28/12.12 inference(cnf_transformation,[status(esa)],[f13])).
% 93.28/12.12 fof(f215,plain,(
% 93.28/12.12 ![X0]: (ssItem(skaf74(X0)))),
% 93.28/12.12 inference(cnf_transformation,[status(esa)],[f21])).
% 93.28/12.12 fof(f242,plain,(
% 93.28/12.12 ![X0,X1]: (ssList(skaf48(X0,X1)))),
% 93.28/12.12 inference(cnf_transformation,[status(esa)],[f48])).
% 93.28/12.12 fof(f244,plain,(
% 93.28/12.12 ![X0,X1]: (ssList(skaf46(X0,X1)))),
% 93.28/12.12 inference(cnf_transformation,[status(esa)],[f50])).
% 93.28/12.12 fof(f252,plain,(
% 93.28/12.12 ![X0]: (~ssList(X0)|rearsegP(X0,nil))),
% 93.28/12.12 inference(cnf_transformation,[status(esa)],[f58])).
% 93.28/12.12 fof(f266,plain,(
% 93.28/12.12 (![U]: (~ssList(U)|duplicatefreeP(U)))|(![V]: ssItem(V))),
% 93.28/12.12 inference(miniscoping,[status(esa)],[f72])).
% 93.28/12.12 fof(f267,plain,(
% 93.28/12.12 ![X0,X1]: (~ssList(X0)|duplicatefreeP(X0)|ssItem(X1))),
% 93.28/12.12 inference(cnf_transformation,[status(esa)],[f266])).
% 93.28/12.12 fof(f268,plain,(
% 93.28/12.12 ![X0]: (~ssList(X0)|app(X0,nil)=X0)),
% 93.28/12.12 inference(cnf_transformation,[status(esa)],[f73])).
% 93.28/12.12 fof(f269,plain,(
% 93.28/12.12 ![X0]: (~ssList(X0)|app(nil,X0)=X0)),
% 93.28/12.12 inference(cnf_transformation,[status(esa)],[f74])).
% 93.28/12.13 fof(f280,plain,(
% 93.28/12.13 ![X0,X1]: (~ssList(X0)|~ssList(X1)|ssList(app(X1,X0)))),
% 93.28/12.13 inference(cnf_transformation,[status(esa)],[f85])).
% 93.28/12.13 fof(f281,plain,(
% 93.28/12.13 ![X0,X1]: (~ssItem(X0)|~ssList(X1)|ssList(cons(X0,X1)))),
% 93.28/12.13 inference(cnf_transformation,[status(esa)],[f86])).
% 93.28/12.13 fof(f306,plain,(
% 93.28/12.13 ![X0]: (~ssList(X0)|cons(skaf83(X0),skaf82(X0))=X0|nil=X0)),
% 93.28/12.13 inference(cnf_transformation,[status(esa)],[f109])).
% 93.28/12.13 fof(f325,plain,(
% 93.28/12.13 ![X0,X1]: (~ssItem(X0)|~ssList(X1)|app(cons(X0,nil),X1)=cons(X0,X1))),
% 93.28/12.13 inference(cnf_transformation,[status(esa)],[f120])).
% 93.28/12.13 fof(f338,plain,(
% 93.28/12.13 ![X0,X1]: (~rearsegP(X0,X1)|~ssList(X1)|~ssList(X0)|app(skaf46(X0,X1),X1)=X0)),
% 93.28/12.13 inference(cnf_transformation,[status(esa)],[f131])).
% 93.28/12.13 fof(f411,plain,(
% 93.28/12.13 ![Y]: (((![V]: ((![U]: ((![W]: ((![X]: (~app(app(U,cons(V,W)),cons(V,X))=Y|~ssList(X)))|~ssList(W)))|~ssList(U)))|~ssItem(V)))|~duplicatefreeP(Y))|~ssList(Y))),
% 93.28/12.13 inference(miniscoping,[status(esa)],[f179])).
% 93.28/12.13 fof(f412,plain,(
% 93.28/12.13 ![X0,X1,X2,X3,X4]: (~app(app(X0,cons(X1,X2)),cons(X1,X3))=X4|~ssList(X3)|~ssList(X2)|~ssList(X0)|~ssItem(X1)|~duplicatefreeP(X4)|~ssList(X4))),
% 93.28/12.13 inference(cnf_transformation,[status(esa)],[f411])).
% 93.28/12.13 fof(f426,plain,(
% 93.28/12.13 ssList(sk2)),
% 93.28/12.13 inference(cnf_transformation,[status(esa)],[f187])).
% 93.28/12.13 fof(f429,plain,(
% 93.28/12.13 sk2=sk4),
% 93.28/12.13 inference(cnf_transformation,[status(esa)],[f190])).
% 93.28/12.13 fof(f430,plain,(
% 93.28/12.13 sk1=sk3),
% 93.28/12.13 inference(cnf_transformation,[status(esa)],[f191])).
% 93.28/12.13 fof(f431,plain,(
% 93.28/12.13 ![X0,X1]: (~ssList(X0)|~ssList(X1)|~app(X0,X1)=sk2|~app(X1,X0)=sk1)),
% 93.28/12.13 inference(cnf_transformation,[status(esa)],[f192])).
% 93.28/12.13 fof(f432,plain,(
% 93.28/12.13 ![X0,X1]: (~ssItem(X0)|~ssList(X1)|app(X1,cons(X0,nil))=sk3|~app(cons(X0,nil),X1)=sk4)),
% 93.28/12.13 inference(cnf_transformation,[status(esa)],[f193])).
% 93.28/12.13 fof(f433,plain,(
% 93.28/12.13 nil=sk3|~nil=sk4),
% 93.28/12.13 inference(cnf_transformation,[status(esa)],[f194])).
% 93.28/12.13 fof(f434,plain,(
% 93.28/12.13 spl0_0 <=> ~ssList(X0)|duplicatefreeP(X0)),
% 93.28/12.13 introduced(split_symbol_definition)).
% 93.28/12.13 fof(f435,plain,(
% 93.28/12.13 ![X0]: (~ssList(X0)|duplicatefreeP(X0)|~spl0_0)),
% 93.28/12.13 inference(component_clause,[status(thm)],[f434])).
% 93.28/12.13 fof(f437,plain,(
% 93.28/12.13 spl0_1 <=> ssItem(X1)),
% 93.28/12.13 introduced(split_symbol_definition)).
% 93.28/12.13 fof(f438,plain,(
% 93.28/12.13 ![X0]: (ssItem(X0)|~spl0_1)),
% 93.28/12.13 inference(component_clause,[status(thm)],[f437])).
% 93.28/12.13 fof(f440,plain,(
% 93.28/12.13 spl0_0|spl0_1),
% 93.28/12.13 inference(split_clause,[status(thm)],[f267,f434,f437])).
% 93.28/12.13 fof(f441,plain,(
% 93.28/12.13 spl0_2 <=> nil=sk3),
% 93.28/12.13 introduced(split_symbol_definition)).
% 93.28/12.13 fof(f442,plain,(
% 93.28/12.13 nil=sk3|~spl0_2),
% 93.28/12.13 inference(component_clause,[status(thm)],[f441])).
% 93.28/12.13 fof(f444,plain,(
% 93.28/12.13 spl0_3 <=> nil=sk4),
% 93.28/12.13 introduced(split_symbol_definition)).
% 93.28/12.13 fof(f446,plain,(
% 93.28/12.13 ~nil=sk4|spl0_3),
% 93.28/12.13 inference(component_clause,[status(thm)],[f444])).
% 93.28/12.13 fof(f447,plain,(
% 93.28/12.13 spl0_2|~spl0_3),
% 93.28/12.13 inference(split_clause,[status(thm)],[f433,f441,f444])).
% 93.28/12.13 fof(f472,plain,(
% 93.28/12.13 ![X0,X1,X2,X3]: (~ssList(X0)|~ssList(X1)|~ssList(X2)|~ssItem(X3)|~duplicatefreeP(app(app(X2,cons(X3,X1)),cons(X3,X0)))|~ssList(app(app(X2,cons(X3,X1)),cons(X3,X0))))),
% 93.28/12.13 inference(destructive_equality_resolution,[status(esa)],[f412])).
% 93.28/12.13 fof(f479,plain,(
% 93.28/12.13 ![X0,X1]: (~ssItem(X0)|~ssList(X1)|app(X1,cons(X0,nil))=sk1|~app(cons(X0,nil),X1)=sk4)),
% 93.28/12.13 inference(forward_demodulation,[status(thm)],[f430,f432])).
% 93.28/12.13 fof(f480,plain,(
% 93.28/12.13 ![X0,X1]: (~ssItem(X0)|~ssList(X1)|app(X1,cons(X0,nil))=sk1|~app(cons(X0,nil),X1)=sk2)),
% 93.28/12.13 inference(forward_demodulation,[status(thm)],[f429,f479])).
% 93.28/12.13 fof(f481,plain,(
% 93.28/12.13 ~nil=sk2|spl0_3),
% 93.28/12.13 inference(forward_demodulation,[status(thm)],[f429,f446])).
% 93.28/12.13 fof(f484,plain,(
% 93.28/12.13 ![X0,X1,X2,X3]: (~ssList(X0)|~ssList(X1)|~ssList(X2)|~ssItem(X3)|~ssList(app(app(X2,cons(X3,X1)),cons(X3,X0)))|~spl0_0)),
% 93.28/12.13 inference(backward_subsumption_resolution,[status(thm)],[f472,f435])).
% 93.28/12.13 fof(f490,plain,(
% 93.28/12.13 spl0_5 <=> ssList(nil)),
% 93.28/12.13 introduced(split_symbol_definition)).
% 93.28/12.13 fof(f492,plain,(
% 93.28/12.13 ~ssList(nil)|spl0_5),
% 93.28/12.13 inference(component_clause,[status(thm)],[f490])).
% 93.28/12.13 fof(f552,plain,(
% 93.28/12.13 app(nil,nil)=nil),
% 93.28/12.13 inference(resolution,[status(thm)],[f202,f269])).
% 93.28/12.13 fof(f594,plain,(
% 93.28/12.13 $false|spl0_5),
% 93.28/12.13 inference(forward_subsumption_resolution,[status(thm)],[f492,f202])).
% 93.28/12.13 fof(f595,plain,(
% 93.28/12.13 spl0_5),
% 93.28/12.13 inference(contradiction_clause,[status(thm)],[f594])).
% 93.28/12.13 fof(f598,plain,(
% 93.28/12.13 ![X0,X1]: (~ssList(X0)|ssList(cons(X1,X0))|~spl0_1)),
% 93.28/12.13 inference(backward_subsumption_resolution,[status(thm)],[f281,f438])).
% 93.28/12.13 fof(f599,plain,(
% 93.28/12.13 ![X0,X1]: (~ssList(X0)|app(X0,cons(X1,nil))=sk1|~app(cons(X1,nil),X0)=sk2|~spl0_1)),
% 93.28/12.13 inference(backward_subsumption_resolution,[status(thm)],[f480,f438])).
% 93.28/12.13 fof(f658,plain,(
% 93.28/12.13 ![X0,X1]: (~ssList(X0)|app(cons(X1,nil),X0)=cons(X1,X0)|~spl0_1)),
% 93.28/12.13 inference(backward_subsumption_resolution,[status(thm)],[f325,f438])).
% 93.28/12.13 fof(f756,plain,(
% 93.28/12.13 ![X0,X1]: (app(cons(X0,nil),skaf82(X1))=cons(X0,skaf82(X1))|~spl0_1)),
% 93.28/12.13 inference(resolution,[status(thm)],[f658,f207])).
% 93.28/12.13 fof(f814,plain,(
% 93.28/12.13 spl0_27 <=> nil=sk2),
% 93.28/12.13 introduced(split_symbol_definition)).
% 93.28/12.13 fof(f815,plain,(
% 93.28/12.13 nil=sk2|~spl0_27),
% 93.28/12.13 inference(component_clause,[status(thm)],[f814])).
% 93.28/12.13 fof(f817,plain,(
% 93.28/12.13 spl0_28 <=> app(nil,nil)=sk1),
% 93.28/12.13 introduced(split_symbol_definition)).
% 93.28/12.13 fof(f819,plain,(
% 93.28/12.13 ~app(nil,nil)=sk1|spl0_28),
% 93.28/12.13 inference(component_clause,[status(thm)],[f817])).
% 93.28/12.13 fof(f820,plain,(
% 93.28/12.13 ~ssList(nil)|~ssList(nil)|~nil=sk2|~app(nil,nil)=sk1),
% 93.28/12.13 inference(paramodulation,[status(thm)],[f552,f431])).
% 93.28/12.13 fof(f821,plain,(
% 93.28/12.13 ~spl0_5|~spl0_27|~spl0_28),
% 93.28/12.13 inference(split_clause,[status(thm)],[f820,f490,f814,f817])).
% 93.28/12.13 fof(f1179,plain,(
% 93.28/12.13 ~nil=sk1|spl0_28),
% 93.28/12.13 inference(forward_demodulation,[status(thm)],[f552,f819])).
% 93.28/12.13 fof(f1213,plain,(
% 93.28/12.13 $false|spl0_3|~spl0_27),
% 93.28/12.13 inference(forward_subsumption_resolution,[status(thm)],[f815,f481])).
% 93.28/12.13 fof(f1214,plain,(
% 93.28/12.13 spl0_3|~spl0_27),
% 93.28/12.13 inference(contradiction_clause,[status(thm)],[f1213])).
% 93.28/12.13 fof(f1215,plain,(
% 93.28/12.13 nil=sk1|~spl0_2),
% 93.28/12.13 inference(forward_demodulation,[status(thm)],[f430,f442])).
% 93.28/12.13 fof(f1216,plain,(
% 93.28/12.13 $false|spl0_28|~spl0_2),
% 93.28/12.13 inference(forward_subsumption_resolution,[status(thm)],[f1215,f1179])).
% 93.28/12.13 fof(f1217,plain,(
% 93.28/12.13 spl0_28|~spl0_2),
% 93.28/12.13 inference(contradiction_clause,[status(thm)],[f1216])).
% 93.28/12.13 fof(f2114,plain,(
% 93.28/12.13 spl0_66 <=> ~ssList(X0)|~ssList(X0)),
% 93.28/12.13 introduced(split_symbol_definition)).
% 93.28/12.13 fof(f2115,plain,(
% 93.28/12.13 ![X0]: (~ssList(X0)|~ssList(X0)|~spl0_66)),
% 93.28/12.13 inference(component_clause,[status(thm)],[f2114])).
% 93.28/12.13 fof(f2122,plain,(
% 93.28/12.13 ![X0]: (~ssList(X0)|~spl0_66)),
% 93.28/12.13 inference(duplicate_literals_removal,[status(esa)],[f2115])).
% 93.28/12.13 fof(f2123,plain,(
% 93.28/12.13 $false|~spl0_66),
% 93.28/12.13 inference(backward_subsumption_resolution,[status(thm)],[f242,f2122])).
% 93.28/12.13 fof(f2124,plain,(
% 93.28/12.13 ~spl0_66),
% 93.28/12.13 inference(contradiction_clause,[status(thm)],[f2123])).
% 93.28/12.13 fof(f3277,plain,(
% 93.28/12.13 spl0_142 <=> ~ssList(X1)),
% 93.28/12.13 introduced(split_symbol_definition)).
% 93.28/12.13 fof(f3278,plain,(
% 93.28/12.13 ![X0]: (~ssList(X0)|~spl0_142)),
% 93.28/12.13 inference(component_clause,[status(thm)],[f3277])).
% 93.28/12.13 fof(f3708,plain,(
% 93.28/12.13 ![X0,X1]: (app(skaf46(X0,X1),nil)=skaf46(X0,X1))),
% 93.28/12.13 inference(resolution,[status(thm)],[f244,f268])).
% 93.28/12.13 fof(f7727,plain,(
% 93.28/12.13 ![X0,X1,X2,X3]: (~ssList(X0)|~ssList(X1)|~ssList(X2)|~ssItem(X3)|~ssList(cons(X3,X0))|~ssList(app(X2,cons(X3,X1)))|~spl0_0)),
% 93.28/12.13 inference(resolution,[status(thm)],[f484,f280])).
% 93.28/12.13 fof(f7728,plain,(
% 93.28/12.13 ![X0,X1,X2,X3]: (~ssList(X0)|~ssList(X1)|~ssList(X2)|~ssItem(X3)|~ssList(app(X2,cons(X3,X1)))|~spl0_0)),
% 93.28/12.13 inference(forward_subsumption_resolution,[status(thm)],[f7727,f281])).
% 93.28/12.13 fof(f8163,plain,(
% 93.28/12.13 spl0_534 <=> ~ssList(X1)|~ssItem(X3)|~ssList(cons(X3,X1))),
% 93.28/12.13 introduced(split_symbol_definition)).
% 93.28/12.13 fof(f8164,plain,(
% 93.28/12.13 ![X0,X1]: (~ssList(X0)|~ssItem(X1)|~ssList(cons(X1,X0))|~spl0_534)),
% 93.28/12.13 inference(component_clause,[status(thm)],[f8163])).
% 93.28/12.13 fof(f8166,plain,(
% 93.28/12.13 ![X0,X1,X2,X3]: (~ssList(X0)|~ssList(X1)|~ssList(X2)|~ssItem(X3)|~ssList(cons(X3,X1))|~ssList(X2)|~spl0_0)),
% 93.28/12.13 inference(resolution,[status(thm)],[f7728,f280])).
% 93.28/12.13 fof(f8167,plain,(
% 93.28/12.13 spl0_142|spl0_534|spl0_66|~spl0_0),
% 93.28/12.13 inference(split_clause,[status(thm)],[f8166,f3277,f8163,f2114,f434])).
% 93.28/12.13 fof(f8168,plain,(
% 93.28/12.13 $false|~spl0_142),
% 93.28/12.13 inference(backward_subsumption_resolution,[status(thm)],[f202,f3278])).
% 93.28/12.13 fof(f8169,plain,(
% 93.28/12.13 ~spl0_142),
% 93.28/12.13 inference(contradiction_clause,[status(thm)],[f8168])).
% 93.28/12.13 fof(f8174,plain,(
% 93.28/12.13 ![X0,X1]: (~ssItem(X0)|~ssList(X1)|~spl0_534)),
% 93.28/12.13 inference(forward_subsumption_resolution,[status(thm)],[f281,f8164])).
% 93.28/12.13 fof(f8177,plain,(
% 93.28/12.13 ![X0]: (~ssList(X0)|~spl0_534)),
% 93.28/12.13 inference(resolution,[status(thm)],[f8174,f215])).
% 93.97/12.19 fof(f8178,plain,(
% 93.97/12.19 spl0_142|~spl0_534),
% 93.97/12.19 inference(split_clause,[status(thm)],[f8177,f3277,f8163])).
% 93.97/12.19 fof(f11017,plain,(
% 93.97/12.19 spl0_561 <=> cons(skaf83(sk2),skaf82(sk2))=sk2),
% 93.97/12.19 introduced(split_symbol_definition)).
% 93.97/12.19 fof(f11018,plain,(
% 93.97/12.19 cons(skaf83(sk2),skaf82(sk2))=sk2|~spl0_561),
% 93.97/12.19 inference(component_clause,[status(thm)],[f11017])).
% 93.97/12.19 fof(f11020,plain,(
% 93.97/12.19 cons(skaf83(sk2),skaf82(sk2))=sk2|nil=sk2),
% 93.97/12.19 inference(resolution,[status(thm)],[f306,f426])).
% 93.97/12.19 fof(f11021,plain,(
% 93.97/12.19 spl0_561|spl0_27),
% 93.97/12.19 inference(split_clause,[status(thm)],[f11020,f11017,f814])).
% 93.97/12.19 fof(f11102,plain,(
% 93.97/12.19 ![X0]: (~rearsegP(X0,nil)|~ssList(X0)|app(skaf46(X0,nil),nil)=X0)),
% 93.97/12.19 inference(resolution,[status(thm)],[f338,f202])).
% 93.97/12.19 fof(f11103,plain,(
% 93.97/12.19 ![X0]: (~rearsegP(X0,nil)|~ssList(X0)|skaf46(X0,nil)=X0)),
% 93.97/12.19 inference(forward_demodulation,[status(thm)],[f3708,f11102])).
% 93.97/12.19 fof(f11104,plain,(
% 93.97/12.19 ![X0]: (~ssList(X0)|skaf46(X0,nil)=X0)),
% 93.97/12.19 inference(forward_subsumption_resolution,[status(thm)],[f11103,f252])).
% 93.97/12.19 fof(f11631,plain,(
% 93.97/12.19 ![X0,X1]: (skaf46(cons(X0,X1),nil)=cons(X0,X1)|~ssList(X1)|~spl0_1)),
% 93.97/12.19 inference(resolution,[status(thm)],[f11104,f598])).
% 93.97/12.19 fof(f12780,plain,(
% 93.97/12.19 spl0_588 <=> ssList(skaf46(sk2,sk2))),
% 93.97/12.19 introduced(split_symbol_definition)).
% 93.97/12.19 fof(f12782,plain,(
% 93.97/12.19 ~ssList(skaf46(sk2,sk2))|spl0_588),
% 93.97/12.19 inference(component_clause,[status(thm)],[f12780])).
% 93.97/12.19 fof(f12818,plain,(
% 93.97/12.19 $false|spl0_588),
% 93.97/12.19 inference(forward_subsumption_resolution,[status(thm)],[f12782,f244])).
% 93.97/12.19 fof(f12819,plain,(
% 93.97/12.19 spl0_588),
% 93.97/12.19 inference(contradiction_clause,[status(thm)],[f12818])).
% 93.97/12.19 fof(f12973,plain,(
% 93.97/12.19 ![X0]: (skaf46(cons(X0,nil),nil)=cons(X0,nil)|~spl0_1)),
% 93.97/12.19 inference(resolution,[status(thm)],[f11631,f202])).
% 93.97/12.19 fof(f12998,plain,(
% 93.97/12.19 ![X0,X1]: (~ssList(skaf82(X0))|app(skaf82(X0),cons(X1,nil))=sk1|~cons(X1,skaf82(X0))=sk2|~spl0_1)),
% 93.97/12.19 inference(paramodulation,[status(thm)],[f756,f599])).
% 93.97/12.19 fof(f12999,plain,(
% 93.97/12.19 ![X0,X1]: (app(skaf82(X0),cons(X1,nil))=sk1|~cons(X1,skaf82(X0))=sk2|~spl0_1)),
% 93.97/12.19 inference(forward_subsumption_resolution,[status(thm)],[f12998,f207])).
% 93.97/12.19 fof(f13002,plain,(
% 93.97/12.19 ![X0,X1]: (~ssList(cons(X0,nil))|~ssList(skaf82(X1))|~cons(X0,skaf82(X1))=sk2|~app(skaf82(X1),cons(X0,nil))=sk1|~spl0_1)),
% 93.97/12.19 inference(paramodulation,[status(thm)],[f756,f431])).
% 93.97/12.19 fof(f13003,plain,(
% 93.97/12.19 ![X0,X1]: (~ssList(cons(X0,nil))|~cons(X0,skaf82(X1))=sk2|~app(skaf82(X1),cons(X0,nil))=sk1|~spl0_1)),
% 93.97/12.19 inference(forward_subsumption_resolution,[status(thm)],[f13002,f207])).
% 93.97/12.19 fof(f13051,plain,(
% 93.97/12.19 ![X0]: (ssList(cons(X0,nil))|~spl0_1)),
% 93.97/12.19 inference(paramodulation,[status(thm)],[f12973,f244])).
% 93.97/12.19 fof(f13075,plain,(
% 93.97/12.19 ![X0,X1]: (~cons(X0,skaf82(X1))=sk2|~app(skaf82(X1),cons(X0,nil))=sk1|~spl0_1)),
% 93.97/12.19 inference(backward_subsumption_resolution,[status(thm)],[f13003,f13051])).
% 93.97/12.19 fof(f13076,plain,(
% 93.97/12.19 ![X0,X1]: (~cons(X0,skaf82(X1))=sk2|~spl0_1)),
% 93.97/12.19 inference(forward_subsumption_resolution,[status(thm)],[f13075,f12999])).
% 93.97/12.19 fof(f13240,plain,(
% 93.97/12.19 $false|~spl0_1|~spl0_561),
% 93.97/12.19 inference(backward_subsumption_resolution,[status(thm)],[f11018,f13076])).
% 93.97/12.19 fof(f13241,plain,(
% 93.97/12.19 ~spl0_1|~spl0_561),
% 93.97/12.19 inference(contradiction_clause,[status(thm)],[f13240])).
% 93.97/12.19 fof(f13242,plain,(
% 93.97/12.19 $false),
% 93.97/12.19 inference(sat_refutation,[status(thm)],[f440,f447,f595,f821,f1214,f1217,f2124,f8167,f8169,f8178,f11021,f12819,f13241])).
% 93.97/12.19 % SZS output end CNFRefutation for theBenchmark.p
% 94.33/12.23 % Elapsed time: 11.867851 seconds
% 94.33/12.23 % CPU time: 94.165780 seconds
% 94.33/12.23 % Total memory used: 590.691 MB
% 94.33/12.23 % Net memory used: 549.870 MB
%------------------------------------------------------------------------------