TSTP Solution File: SWC124-1 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : SWC124-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n027.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 20:44:36 EDT 2024
% Result : Unsatisfiable 3.52s 0.85s
% Output : CNFRefutation 3.52s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWC124-1 : TPTP v8.1.2. Released v2.4.0.
% 0.03/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.14/0.35 % Computer : n027.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 00:33:32 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.21/0.37 % Drodi V3.6.0
% 3.52/0.85 % Refutation found
% 3.52/0.85 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 3.52/0.85 % SZS output start CNFRefutation for theBenchmark
% 3.52/0.85 fof(f8,axiom,(
% 3.52/0.85 ssList(nil) ),
% 3.52/0.85 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.52/0.85 fof(f48,axiom,(
% 3.52/0.85 (![U,V]: (ssList(skaf48(U,V)) ))),
% 3.52/0.85 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.52/0.85 fof(f53,axiom,(
% 3.52/0.85 (![U,V]: (ssList(skaf42(U,V)) ))),
% 3.52/0.85 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.52/0.85 fof(f72,axiom,(
% 3.52/0.85 (![U,V]: (( ~ ssList(U)| duplicatefreeP(U)| ssItem(V) ) ))),
% 3.52/0.85 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.52/0.85 fof(f73,axiom,(
% 3.52/0.85 (![U]: (( ~ ssList(U)| app(U,nil) = U ) ))),
% 3.52/0.85 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.52/0.85 fof(f74,axiom,(
% 3.52/0.85 (![U]: (( ~ ssList(U)| app(nil,U) = U ) ))),
% 3.52/0.85 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.52/0.85 fof(f76,axiom,(
% 3.52/0.85 (![U]: (( ~ ssList(U)| ssItem(hd(U))| nil = U ) ))),
% 3.52/0.85 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.52/0.85 fof(f85,axiom,(
% 3.52/0.85 (![U,V]: (( ~ ssList(U)| ~ ssList(V)| ssList(app(V,U)) ) ))),
% 3.52/0.85 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.52/0.85 fof(f86,axiom,(
% 3.52/0.85 (![U,V]: (( ~ ssItem(U)| ~ ssList(V)| ssList(cons(U,V)) ) ))),
% 3.52/0.85 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.52/0.85 fof(f102,axiom,(
% 3.52/0.85 (![U,V]: (( ~ ssItem(U)| ~ ssItem(V)| neq(V,U)| V = U ) ))),
% 3.52/0.85 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.52/0.85 fof(f115,axiom,(
% 3.52/0.85 (![U,V]: (( U != V| ~ neq(U,V)| ~ ssList(V)| ~ ssList(U) ) ))),
% 3.52/0.85 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.52/0.85 fof(f173,axiom,(
% 3.52/0.85 (![U,V,W,X]: (( app(app(U,V),W) != X| ~ ssList(W)| ~ ssList(U)| ~ ssList(V)| ~ ssList(X)| segmentP(X,V) ) ))),
% 3.52/0.85 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.52/0.85 fof(f179,axiom,(
% 3.52/0.85 (![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) ) ))),
% 3.52/0.85 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.52/0.85 fof(f186,negated_conjecture,(
% 3.52/0.85 ssList(sk1) ),
% 3.52/0.85 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.52/0.85 fof(f187,negated_conjecture,(
% 3.52/0.85 ssList(sk2) ),
% 3.52/0.85 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.52/0.85 fof(f190,negated_conjecture,(
% 3.52/0.85 sk2 = sk4 ),
% 3.52/0.85 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.52/0.85 fof(f191,negated_conjecture,(
% 3.52/0.85 sk1 = sk3 ),
% 3.52/0.85 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.52/0.85 fof(f192,negated_conjecture,(
% 3.52/0.85 neq(sk2,nil) ),
% 3.52/0.85 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.52/0.85 fof(f193,negated_conjecture,(
% 3.52/0.85 ssList(sk5) ),
% 3.52/0.85 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.52/0.85 fof(f194,negated_conjecture,(
% 3.52/0.85 app(sk3,sk5) = sk4 ),
% 3.52/0.85 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.52/0.85 fof(f197,negated_conjecture,(
% 3.52/0.85 ( nil = sk4| nil != sk3 ) ),
% 3.52/0.85 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.52/0.85 fof(f198,negated_conjecture,(
% 3.52/0.85 ( ~ neq(sk1,nil)| ~ segmentP(sk2,sk1) ) ),
% 3.52/0.85 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.52/0.85 fof(f206,plain,(
% 3.52/0.85 ssList(nil)),
% 3.52/0.85 inference(cnf_transformation,[status(esa)],[f8])).
% 3.52/0.85 fof(f246,plain,(
% 3.52/0.85 ![X0,X1]: (ssList(skaf48(X0,X1)))),
% 3.52/0.85 inference(cnf_transformation,[status(esa)],[f48])).
% 3.52/0.85 fof(f251,plain,(
% 3.52/0.85 ![X0,X1]: (ssList(skaf42(X0,X1)))),
% 3.52/0.85 inference(cnf_transformation,[status(esa)],[f53])).
% 3.52/0.85 fof(f270,plain,(
% 3.52/0.85 (![U]: (~ssList(U)|duplicatefreeP(U)))|(![V]: ssItem(V))),
% 3.52/0.85 inference(miniscoping,[status(esa)],[f72])).
% 3.52/0.85 fof(f271,plain,(
% 3.52/0.85 ![X0,X1]: (~ssList(X0)|duplicatefreeP(X0)|ssItem(X1))),
% 3.52/0.85 inference(cnf_transformation,[status(esa)],[f270])).
% 3.52/0.85 fof(f272,plain,(
% 3.52/0.85 ![X0]: (~ssList(X0)|app(X0,nil)=X0)),
% 3.52/0.85 inference(cnf_transformation,[status(esa)],[f73])).
% 3.52/0.85 fof(f273,plain,(
% 3.52/0.85 ![X0]: (~ssList(X0)|app(nil,X0)=X0)),
% 3.52/0.85 inference(cnf_transformation,[status(esa)],[f74])).
% 3.52/0.85 fof(f275,plain,(
% 3.52/0.85 ![X0]: (~ssList(X0)|ssItem(hd(X0))|nil=X0)),
% 3.52/0.85 inference(cnf_transformation,[status(esa)],[f76])).
% 3.52/0.85 fof(f284,plain,(
% 3.52/0.85 ![X0,X1]: (~ssList(X0)|~ssList(X1)|ssList(app(X1,X0)))),
% 3.52/0.85 inference(cnf_transformation,[status(esa)],[f85])).
% 3.52/0.85 fof(f285,plain,(
% 3.52/0.85 ![X0,X1]: (~ssItem(X0)|~ssList(X1)|ssList(cons(X0,X1)))),
% 3.52/0.85 inference(cnf_transformation,[status(esa)],[f86])).
% 3.52/0.85 fof(f303,plain,(
% 3.52/0.85 ![X0,X1]: (~ssItem(X0)|~ssItem(X1)|neq(X1,X0)|X1=X0)),
% 3.52/0.85 inference(cnf_transformation,[status(esa)],[f102])).
% 3.52/0.85 fof(f319,plain,(
% 3.52/0.85 ![U]: ((![V]: ((~U=V|~neq(U,V))|~ssList(V)))|~ssList(U))),
% 3.52/0.85 inference(miniscoping,[status(esa)],[f115])).
% 3.52/0.85 fof(f320,plain,(
% 3.52/0.85 ![X0,X1]: (~X0=X1|~neq(X0,X1)|~ssList(X1)|~ssList(X0))),
% 3.52/0.85 inference(cnf_transformation,[status(esa)],[f319])).
% 3.52/0.85 fof(f404,plain,(
% 3.52/0.85 ![V,X]: ((((![U]: ((![W]: (~app(app(U,V),W)=X|~ssList(W)))|~ssList(U)))|~ssList(V))|~ssList(X))|segmentP(X,V))),
% 3.52/0.85 inference(miniscoping,[status(esa)],[f173])).
% 3.52/0.85 fof(f405,plain,(
% 3.52/0.85 ![X0,X1,X2,X3]: (~app(app(X0,X1),X2)=X3|~ssList(X2)|~ssList(X0)|~ssList(X1)|~ssList(X3)|segmentP(X3,X1))),
% 3.52/0.85 inference(cnf_transformation,[status(esa)],[f404])).
% 3.52/0.85 fof(f415,plain,(
% 3.52/0.85 ![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))),
% 3.52/0.85 inference(miniscoping,[status(esa)],[f179])).
% 3.52/0.85 fof(f416,plain,(
% 3.52/0.85 ![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))),
% 3.52/0.85 inference(cnf_transformation,[status(esa)],[f415])).
% 3.52/0.85 fof(f429,plain,(
% 3.52/0.85 ssList(sk1)),
% 3.52/0.85 inference(cnf_transformation,[status(esa)],[f186])).
% 3.52/0.85 fof(f430,plain,(
% 3.52/0.85 ssList(sk2)),
% 3.52/0.85 inference(cnf_transformation,[status(esa)],[f187])).
% 3.52/0.85 fof(f433,plain,(
% 3.52/0.85 sk2=sk4),
% 3.52/0.85 inference(cnf_transformation,[status(esa)],[f190])).
% 3.52/0.85 fof(f434,plain,(
% 3.52/0.85 sk1=sk3),
% 3.52/0.85 inference(cnf_transformation,[status(esa)],[f191])).
% 3.52/0.85 fof(f435,plain,(
% 3.52/0.85 neq(sk2,nil)),
% 3.52/0.85 inference(cnf_transformation,[status(esa)],[f192])).
% 3.52/0.85 fof(f436,plain,(
% 3.52/0.85 ssList(sk5)),
% 3.52/0.85 inference(cnf_transformation,[status(esa)],[f193])).
% 3.52/0.85 fof(f437,plain,(
% 3.52/0.85 app(sk3,sk5)=sk4),
% 3.52/0.85 inference(cnf_transformation,[status(esa)],[f194])).
% 3.52/0.85 fof(f441,plain,(
% 3.52/0.85 nil=sk4|~nil=sk3),
% 3.52/0.85 inference(cnf_transformation,[status(esa)],[f197])).
% 3.52/0.85 fof(f442,plain,(
% 3.52/0.85 ~neq(sk1,nil)|~segmentP(sk2,sk1)),
% 3.52/0.85 inference(cnf_transformation,[status(esa)],[f198])).
% 3.52/0.85 fof(f443,plain,(
% 3.52/0.85 spl0_0 <=> ~ssList(X0)|duplicatefreeP(X0)),
% 3.52/0.85 introduced(split_symbol_definition)).
% 3.52/0.85 fof(f444,plain,(
% 3.52/0.85 ![X0]: (~ssList(X0)|duplicatefreeP(X0)|~spl0_0)),
% 3.52/0.85 inference(component_clause,[status(thm)],[f443])).
% 3.52/0.85 fof(f446,plain,(
% 3.52/0.85 spl0_1 <=> ssItem(X1)),
% 3.52/0.85 introduced(split_symbol_definition)).
% 3.52/0.85 fof(f447,plain,(
% 3.52/0.85 ![X0]: (ssItem(X0)|~spl0_1)),
% 3.52/0.85 inference(component_clause,[status(thm)],[f446])).
% 3.52/0.85 fof(f449,plain,(
% 3.52/0.85 spl0_0|spl0_1),
% 3.52/0.85 inference(split_clause,[status(thm)],[f271,f443,f446])).
% 3.52/0.85 fof(f450,plain,(
% 3.52/0.85 spl0_2 <=> nil=sk4),
% 3.52/0.85 introduced(split_symbol_definition)).
% 3.52/0.85 fof(f451,plain,(
% 3.52/0.85 nil=sk4|~spl0_2),
% 3.52/0.85 inference(component_clause,[status(thm)],[f450])).
% 3.52/0.85 fof(f453,plain,(
% 3.52/0.85 spl0_3 <=> nil=sk3),
% 3.52/0.85 introduced(split_symbol_definition)).
% 3.52/0.85 fof(f455,plain,(
% 3.52/0.85 ~nil=sk3|spl0_3),
% 3.52/0.85 inference(component_clause,[status(thm)],[f453])).
% 3.52/0.85 fof(f456,plain,(
% 3.52/0.85 spl0_2|~spl0_3),
% 3.52/0.85 inference(split_clause,[status(thm)],[f441,f450,f453])).
% 3.52/0.85 fof(f457,plain,(
% 3.52/0.85 spl0_4 <=> neq(sk1,nil)),
% 3.52/0.85 introduced(split_symbol_definition)).
% 3.52/0.85 fof(f459,plain,(
% 3.52/0.85 ~neq(sk1,nil)|spl0_4),
% 3.52/0.85 inference(component_clause,[status(thm)],[f457])).
% 3.52/0.85 fof(f460,plain,(
% 3.52/0.85 spl0_5 <=> segmentP(sk2,sk1)),
% 3.52/0.85 introduced(split_symbol_definition)).
% 3.52/0.85 fof(f463,plain,(
% 3.52/0.85 ~spl0_4|~spl0_5),
% 3.52/0.85 inference(split_clause,[status(thm)],[f442,f457,f460])).
% 3.52/0.85 fof(f471,plain,(
% 3.52/0.85 ![X1]: (~neq(X1,X1)|~ssList(X1)|~ssList(X1))),
% 3.52/0.85 inference(destructive_equality_resolution,[status(esa)],[f320])).
% 3.52/0.85 fof(f472,plain,(
% 3.52/0.85 ![X0]: (~neq(X0,X0)|~ssList(X0))),
% 3.52/0.85 inference(duplicate_literals_removal,[status(esa)],[f471])).
% 3.52/0.85 fof(f484,plain,(
% 3.52/0.85 ![X0,X1,X2]: (~ssList(X0)|~ssList(X1)|~ssList(X2)|~ssList(app(app(X1,X2),X0))|segmentP(app(app(X1,X2),X0),X2))),
% 3.52/0.85 inference(destructive_equality_resolution,[status(esa)],[f405])).
% 3.52/0.85 fof(f488,plain,(
% 3.52/0.85 ![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))))),
% 3.52/0.85 inference(destructive_equality_resolution,[status(esa)],[f416])).
% 3.52/0.85 fof(f495,plain,(
% 3.52/0.85 app(sk1,sk5)=sk4),
% 3.52/0.85 inference(forward_demodulation,[status(thm)],[f434,f437])).
% 3.52/0.85 fof(f496,plain,(
% 3.52/0.85 app(sk1,sk5)=sk2),
% 3.52/0.85 inference(forward_demodulation,[status(thm)],[f433,f495])).
% 3.52/0.85 fof(f499,plain,(
% 3.52/0.85 ~nil=sk1|spl0_3),
% 3.52/0.85 inference(forward_demodulation,[status(thm)],[f434,f455])).
% 3.52/0.85 fof(f502,plain,(
% 3.52/0.85 ![X0,X1,X2,X3]: (~ssList(X0)|~ssList(X1)|~ssList(X2)|~ssItem(X3)|~ssList(app(app(X2,cons(X3,X1)),cons(X3,X0)))|~spl0_0)),
% 3.52/0.85 inference(backward_subsumption_resolution,[status(thm)],[f488,f444])).
% 3.52/0.85 fof(f507,plain,(
% 3.52/0.85 ~neq(nil,nil)),
% 3.52/0.85 inference(resolution,[status(thm)],[f472,f206])).
% 3.52/0.85 fof(f541,plain,(
% 3.52/0.85 app(sk5,nil)=sk5),
% 3.52/0.85 inference(resolution,[status(thm)],[f272,f436])).
% 3.52/0.85 fof(f542,plain,(
% 3.52/0.85 app(sk2,nil)=sk2),
% 3.52/0.85 inference(resolution,[status(thm)],[f272,f430])).
% 3.52/0.85 fof(f543,plain,(
% 3.52/0.85 app(sk1,nil)=sk1),
% 3.52/0.85 inference(resolution,[status(thm)],[f272,f429])).
% 3.52/0.85 fof(f557,plain,(
% 3.52/0.85 app(nil,sk1)=sk1),
% 3.52/0.85 inference(resolution,[status(thm)],[f273,f429])).
% 3.52/0.85 fof(f558,plain,(
% 3.52/0.85 spl0_6 <=> ssList(nil)),
% 3.52/0.85 introduced(split_symbol_definition)).
% 3.52/0.85 fof(f560,plain,(
% 3.52/0.85 ~ssList(nil)|spl0_6),
% 3.52/0.85 inference(component_clause,[status(thm)],[f558])).
% 3.52/0.85 fof(f568,plain,(
% 3.52/0.85 $false|spl0_6),
% 3.52/0.85 inference(forward_subsumption_resolution,[status(thm)],[f560,f206])).
% 3.52/0.85 fof(f569,plain,(
% 3.52/0.85 spl0_6),
% 3.52/0.85 inference(contradiction_clause,[status(thm)],[f568])).
% 3.52/0.85 fof(f570,plain,(
% 3.52/0.85 ![X0,X1,X2,X3]: (~ssList(cons(X0,X1))|~ssList(app(X2,cons(X0,X3)))|~ssList(X1)|~ssList(X3)|~ssList(X2)|~ssItem(X0)|~spl0_0)),
% 3.52/0.85 inference(resolution,[status(thm)],[f284,f502])).
% 3.52/0.85 fof(f571,plain,(
% 3.52/0.85 ![X0,X1,X2,X3]: (~ssList(app(X0,cons(X1,X2)))|~ssList(X3)|~ssList(X2)|~ssList(X0)|~ssItem(X1)|~spl0_0)),
% 3.52/0.85 inference(forward_subsumption_resolution,[status(thm)],[f570,f285])).
% 3.52/0.85 fof(f594,plain,(
% 3.52/0.85 spl0_11 <=> ssList(sk1)),
% 3.52/0.85 introduced(split_symbol_definition)).
% 3.52/0.85 fof(f596,plain,(
% 3.52/0.85 ~ssList(sk1)|spl0_11),
% 3.52/0.85 inference(component_clause,[status(thm)],[f594])).
% 3.52/0.85 fof(f604,plain,(
% 3.52/0.85 spl0_13 <=> ssList(sk5)),
% 3.52/0.85 introduced(split_symbol_definition)).
% 3.52/0.85 fof(f606,plain,(
% 3.52/0.85 ~ssList(sk5)|spl0_13),
% 3.52/0.85 inference(component_clause,[status(thm)],[f604])).
% 3.52/0.85 fof(f617,plain,(
% 3.52/0.85 $false|spl0_11),
% 3.52/0.85 inference(forward_subsumption_resolution,[status(thm)],[f596,f429])).
% 3.52/0.85 fof(f618,plain,(
% 3.52/0.85 spl0_11),
% 3.52/0.85 inference(contradiction_clause,[status(thm)],[f617])).
% 3.52/0.85 fof(f619,plain,(
% 3.52/0.85 $false|spl0_13),
% 3.52/0.85 inference(forward_subsumption_resolution,[status(thm)],[f606,f436])).
% 3.52/0.85 fof(f620,plain,(
% 3.52/0.85 spl0_13),
% 3.52/0.85 inference(contradiction_clause,[status(thm)],[f619])).
% 3.52/0.85 fof(f819,plain,(
% 3.52/0.85 ![X0,X1]: (~ssItem(X0)|neq(X0,X1)|X0=X1|~spl0_1)),
% 3.52/0.85 inference(backward_subsumption_resolution,[status(thm)],[f303,f447])).
% 3.52/0.85 fof(f820,plain,(
% 3.52/0.85 ![X0,X1]: (neq(X0,X1)|X0=X1|~spl0_1)),
% 3.52/0.85 inference(forward_subsumption_resolution,[status(thm)],[f819,f447])).
% 3.52/0.85 fof(f834,plain,(
% 3.52/0.85 sk1=nil|~spl0_1|spl0_4),
% 3.52/0.85 inference(resolution,[status(thm)],[f820,f459])).
% 3.52/0.85 fof(f835,plain,(
% 3.52/0.85 $false|spl0_3|~spl0_1|spl0_4),
% 3.52/0.85 inference(forward_subsumption_resolution,[status(thm)],[f834,f499])).
% 3.52/0.85 fof(f836,plain,(
% 3.52/0.85 spl0_3|~spl0_1|spl0_4),
% 3.52/0.85 inference(contradiction_clause,[status(thm)],[f835])).
% 3.52/0.85 fof(f837,plain,(
% 3.52/0.85 nil=sk2|~spl0_2),
% 3.52/0.85 inference(forward_demodulation,[status(thm)],[f433,f451])).
% 3.52/0.85 fof(f847,plain,(
% 3.52/0.85 neq(nil,nil)|~spl0_2),
% 3.52/0.85 inference(backward_demodulation,[status(thm)],[f837,f435])).
% 3.52/0.85 fof(f1063,plain,(
% 3.52/0.85 spl0_30 <=> ~ssList(X0)|~ssList(X0)),
% 3.52/0.85 introduced(split_symbol_definition)).
% 3.52/0.85 fof(f1064,plain,(
% 3.52/0.85 ![X0]: (~ssList(X0)|~ssList(X0)|~spl0_30)),
% 3.52/0.85 inference(component_clause,[status(thm)],[f1063])).
% 3.52/0.85 fof(f1071,plain,(
% 3.52/0.85 ![X0]: (~ssList(X0)|~spl0_30)),
% 3.52/0.85 inference(duplicate_literals_removal,[status(esa)],[f1064])).
% 3.52/0.85 fof(f1072,plain,(
% 3.52/0.85 $false|~spl0_30),
% 3.52/0.85 inference(backward_subsumption_resolution,[status(thm)],[f251,f1071])).
% 3.52/0.85 fof(f1073,plain,(
% 3.52/0.85 ~spl0_30),
% 3.52/0.85 inference(contradiction_clause,[status(thm)],[f1072])).
% 3.52/0.85 fof(f1411,plain,(
% 3.52/0.85 spl0_49 <=> ~ssList(X0)|~ssList(app(sk1,X0))|segmentP(app(app(nil,sk1),X0),sk1)),
% 3.52/0.85 introduced(split_symbol_definition)).
% 3.52/0.85 fof(f1412,plain,(
% 3.52/0.85 ![X0]: (~ssList(X0)|~ssList(app(sk1,X0))|segmentP(app(app(nil,sk1),X0),sk1)|~spl0_49)),
% 3.52/0.85 inference(component_clause,[status(thm)],[f1411])).
% 3.52/0.85 fof(f1414,plain,(
% 3.52/0.85 ![X0]: (~ssList(X0)|~ssList(nil)|~ssList(sk1)|~ssList(app(sk1,X0))|segmentP(app(app(nil,sk1),X0),sk1))),
% 3.52/0.85 inference(paramodulation,[status(thm)],[f557,f484])).
% 3.52/0.85 fof(f1415,plain,(
% 3.52/0.85 spl0_49|~spl0_6|~spl0_11),
% 3.52/0.85 inference(split_clause,[status(thm)],[f1414,f1411,f558,f594])).
% 3.52/0.85 fof(f1448,plain,(
% 3.52/0.85 ![X0]: (~ssList(X0)|~ssList(app(sk1,X0))|segmentP(app(sk1,X0),sk1)|~spl0_49)),
% 3.52/0.85 inference(forward_demodulation,[status(thm)],[f557,f1412])).
% 3.52/0.85 fof(f1799,plain,(
% 3.52/0.85 spl0_60 <=> ssList(app(sk1,sk5))),
% 3.52/0.85 introduced(split_symbol_definition)).
% 3.52/0.85 fof(f1801,plain,(
% 3.52/0.85 ~ssList(app(sk1,sk5))|spl0_60),
% 3.52/0.85 inference(component_clause,[status(thm)],[f1799])).
% 3.52/0.85 fof(f1802,plain,(
% 3.52/0.85 ~ssList(sk5)|~ssList(app(sk1,sk5))|segmentP(sk2,sk1)|~spl0_49),
% 3.52/0.85 inference(paramodulation,[status(thm)],[f496,f1448])).
% 3.52/0.85 fof(f1803,plain,(
% 3.52/0.85 ~spl0_13|~spl0_60|spl0_5|~spl0_49),
% 3.52/0.85 inference(split_clause,[status(thm)],[f1802,f604,f1799,f460,f1411])).
% 3.52/0.85 fof(f1804,plain,(
% 3.52/0.85 ~ssList(sk2)|spl0_60),
% 3.52/0.85 inference(forward_demodulation,[status(thm)],[f496,f1801])).
% 3.52/0.85 fof(f1805,plain,(
% 3.52/0.85 $false|spl0_60),
% 3.52/0.85 inference(forward_subsumption_resolution,[status(thm)],[f1804,f430])).
% 3.52/0.85 fof(f1806,plain,(
% 3.52/0.85 spl0_60),
% 3.52/0.85 inference(contradiction_clause,[status(thm)],[f1805])).
% 3.52/0.85 fof(f1813,plain,(
% 3.52/0.85 $false|~spl0_2),
% 3.52/0.85 inference(forward_subsumption_resolution,[status(thm)],[f507,f847])).
% 3.52/0.85 fof(f1814,plain,(
% 3.52/0.85 ~spl0_2),
% 3.52/0.85 inference(contradiction_clause,[status(thm)],[f1813])).
% 3.52/0.85 fof(f1815,plain,(
% 3.52/0.85 spl0_61 <=> ~ssList(app(X0,cons(X1,X2)))|~ssList(X2)|~ssList(X0)|~ssItem(X1)),
% 3.52/0.85 introduced(split_symbol_definition)).
% 3.52/0.85 fof(f1816,plain,(
% 3.52/0.85 ![X0,X1,X2]: (~ssList(app(X0,cons(X1,X2)))|~ssList(X2)|~ssList(X0)|~ssItem(X1)|~spl0_61)),
% 3.52/0.85 inference(component_clause,[status(thm)],[f1815])).
% 3.52/0.85 fof(f1818,plain,(
% 3.52/0.85 spl0_62 <=> ~ssList(X3)),
% 3.52/0.85 introduced(split_symbol_definition)).
% 3.52/0.85 fof(f1819,plain,(
% 3.52/0.85 ![X0]: (~ssList(X0)|~spl0_62)),
% 3.52/0.85 inference(component_clause,[status(thm)],[f1818])).
% 3.52/0.85 fof(f1821,plain,(
% 3.52/0.85 spl0_61|spl0_62|~spl0_0),
% 3.52/0.85 inference(split_clause,[status(thm)],[f571,f1815,f1818,f443])).
% 3.52/0.85 fof(f1863,plain,(
% 3.52/0.85 spl0_65 <=> ~ssList(X0)|~ssItem(X2)|~ssList(cons(X2,X0))),
% 3.52/0.85 introduced(split_symbol_definition)).
% 3.52/0.85 fof(f1864,plain,(
% 3.52/0.85 ![X0,X1]: (~ssList(X0)|~ssItem(X1)|~ssList(cons(X1,X0))|~spl0_65)),
% 3.52/0.85 inference(component_clause,[status(thm)],[f1863])).
% 3.52/0.85 fof(f1866,plain,(
% 3.52/0.85 ![X0,X1,X2]: (~ssList(X0)|~ssList(X1)|~ssItem(X2)|~ssList(cons(X2,X0))|~ssList(X1)|~spl0_61)),
% 3.52/0.85 inference(resolution,[status(thm)],[f1816,f284])).
% 3.52/0.85 fof(f1867,plain,(
% 3.52/0.85 spl0_65|spl0_30|~spl0_61),
% 3.52/0.85 inference(split_clause,[status(thm)],[f1866,f1863,f1063,f1815])).
% 3.52/0.85 fof(f1868,plain,(
% 3.52/0.85 $false|~spl0_62),
% 3.52/0.85 inference(backward_subsumption_resolution,[status(thm)],[f246,f1819])).
% 3.52/0.85 fof(f1869,plain,(
% 3.52/0.85 ~spl0_62),
% 3.52/0.85 inference(contradiction_clause,[status(thm)],[f1868])).
% 3.52/0.85 fof(f1870,plain,(
% 3.52/0.85 ![X0,X1]: (~ssList(X0)|~ssItem(X1)|~spl0_65)),
% 3.52/0.85 inference(forward_subsumption_resolution,[status(thm)],[f1864,f285])).
% 3.52/0.85 fof(f1871,plain,(
% 3.52/0.85 ![X0]: (~ssList(X0)|nil=X0|~spl0_65)),
% 3.52/0.85 inference(backward_subsumption_resolution,[status(thm)],[f275,f1870])).
% 3.52/0.85 fof(f1904,plain,(
% 3.52/0.85 spl0_66 <=> ssList(app(sk2,nil))),
% 3.52/0.85 introduced(split_symbol_definition)).
% 3.52/0.85 fof(f1906,plain,(
% 3.52/0.85 ~ssList(app(sk2,nil))|spl0_66),
% 3.52/0.85 inference(component_clause,[status(thm)],[f1904])).
% 3.52/0.85 fof(f1912,plain,(
% 3.52/0.85 ~ssList(sk2)|spl0_66),
% 3.52/0.85 inference(forward_demodulation,[status(thm)],[f542,f1906])).
% 3.52/0.85 fof(f1913,plain,(
% 3.52/0.85 $false|spl0_66),
% 3.52/0.85 inference(forward_subsumption_resolution,[status(thm)],[f1912,f430])).
% 3.52/0.85 fof(f1914,plain,(
% 3.52/0.85 spl0_66),
% 3.52/0.85 inference(contradiction_clause,[status(thm)],[f1913])).
% 3.52/0.85 fof(f1925,plain,(
% 3.52/0.85 spl0_69 <=> ssList(app(sk5,nil))),
% 3.52/0.85 introduced(split_symbol_definition)).
% 3.52/0.85 fof(f1927,plain,(
% 3.52/0.85 ~ssList(app(sk5,nil))|spl0_69),
% 3.52/0.85 inference(component_clause,[status(thm)],[f1925])).
% 3.52/0.85 fof(f1933,plain,(
% 3.52/0.85 ~ssList(sk5)|spl0_69),
% 3.52/0.85 inference(forward_demodulation,[status(thm)],[f541,f1927])).
% 3.52/0.85 fof(f1934,plain,(
% 3.52/0.85 $false|spl0_69),
% 3.52/0.85 inference(forward_subsumption_resolution,[status(thm)],[f1933,f436])).
% 3.52/0.85 fof(f1935,plain,(
% 3.52/0.85 spl0_69),
% 3.52/0.85 inference(contradiction_clause,[status(thm)],[f1934])).
% 3.52/0.85 fof(f1937,plain,(
% 3.52/0.85 nil=sk5|~spl0_65),
% 3.52/0.85 inference(resolution,[status(thm)],[f436,f1871])).
% 3.52/0.85 fof(f1949,plain,(
% 3.52/0.85 app(sk1,nil)=sk2|~spl0_65),
% 3.52/0.85 inference(backward_demodulation,[status(thm)],[f1937,f496])).
% 3.52/0.85 fof(f1950,plain,(
% 3.52/0.85 sk1=sk2|~spl0_65),
% 3.52/0.85 inference(forward_demodulation,[status(thm)],[f543,f1949])).
% 3.52/0.85 fof(f1976,plain,(
% 3.52/0.85 neq(sk1,nil)|~spl0_65),
% 3.52/0.85 inference(backward_demodulation,[status(thm)],[f1950,f435])).
% 3.52/0.85 fof(f1977,plain,(
% 3.52/0.85 spl0_4|~spl0_65),
% 3.52/0.85 inference(split_clause,[status(thm)],[f1976,f457,f1863])).
% 3.52/0.85 fof(f1991,plain,(
% 3.52/0.85 $false),
% 3.52/0.85 inference(sat_refutation,[status(thm)],[f449,f456,f463,f569,f618,f620,f836,f1073,f1415,f1803,f1806,f1814,f1821,f1867,f1869,f1914,f1935,f1977])).
% 3.52/0.85 % SZS output end CNFRefutation for theBenchmark.p
% 3.52/0.85 % Elapsed time: 0.497307 seconds
% 3.52/0.85 % CPU time: 3.678673 seconds
% 3.52/0.85 % Total memory used: 95.099 MB
% 3.52/0.85 % Net memory used: 93.108 MB
%------------------------------------------------------------------------------