TSTP Solution File: SWC112-1 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SWC112-1 : 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 : Wed May 31 12:39:18 EDT 2023
% Result : Unsatisfiable 0.13s 0.37s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWC112-1 : TPTP v8.1.2. Released v2.4.0.
% 0.07/0.12 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34 % Computer : n027.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 May 30 11:43:48 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.13/0.35 % Drodi V3.5.1
% 0.13/0.37 % Refutation found
% 0.13/0.37 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.37 % SZS output start CNFRefutation for theBenchmark
% 0.13/0.37 fof(f8,axiom,(
% 0.13/0.37 ssList(nil) ),
% 0.13/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.37 fof(f56,axiom,(
% 0.13/0.37 (![U]: (( ~ ssList(U)| segmentP(U,nil) ) ))),
% 0.13/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.37 fof(f72,axiom,(
% 0.13/0.37 (![U,V]: (( ~ ssList(U)| duplicatefreeP(U)| ssItem(V) ) ))),
% 0.13/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.37 fof(f73,axiom,(
% 0.13/0.37 (![U]: (( ~ ssList(U)| app(U,nil) = U ) ))),
% 0.13/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.37 fof(f74,axiom,(
% 0.13/0.37 (![U]: (( ~ ssList(U)| app(nil,U) = U ) ))),
% 0.13/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.37 fof(f80,axiom,(
% 0.13/0.37 (![U]: (( ~ segmentP(nil,U)| ~ ssList(U)| nil = U ) ))),
% 0.13/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.37 fof(f85,axiom,(
% 0.13/0.37 (![U,V]: (( ~ ssList(U)| ~ ssList(V)| ssList(app(V,U)) ) ))),
% 0.13/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.37 fof(f100,axiom,(
% 0.13/0.37 (![U,V]: (( ~ ssList(U)| ~ ssList(V)| neq(V,U)| V = U ) ))),
% 0.13/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.37 fof(f115,axiom,(
% 0.13/0.37 (![U,V]: (( U != V| ~ neq(U,V)| ~ ssList(V)| ~ ssList(U) ) ))),
% 0.13/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.37 fof(f127,axiom,(
% 0.13/0.37 (![U,V]: (( ~ segmentP(U,V)| ~ segmentP(V,U)| ~ ssList(U)| ~ ssList(V)| V = U ) ))),
% 0.13/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.37 fof(f149,axiom,(
% 0.13/0.37 (![U,V,W]: (( ~ ssList(U)| ~ ssList(V)| ~ ssList(W)| app(app(W,V),U) = app(W,app(V,U)) ) ))),
% 0.13/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.37 fof(f150,axiom,(
% 0.13/0.37 (![U,V,W]: (( app(U,V) != app(U,W)| ~ ssList(V)| ~ ssList(U)| ~ ssList(W)| V = W ) ))),
% 0.13/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.37 fof(f151,axiom,(
% 0.13/0.37 (![U,V,W]: (( app(U,V) != app(W,V)| ~ ssList(U)| ~ ssList(V)| ~ ssList(W)| U = W ) ))),
% 0.13/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.37 fof(f152,axiom,(
% 0.13/0.37 (![U,V,W]: (( ~ segmentP(U,V)| ~ segmentP(V,W)| ~ ssList(W)| ~ ssList(V)| ~ ssList(U)| segmentP(U,W) ) ))),
% 0.13/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.37 fof(f170,axiom,(
% 0.13/0.37 (![U,V,W,X]: (( cons(U,V) != cons(W,X)| ~ ssItem(W)| ~ ssItem(U)| ~ ssList(X)| ~ ssList(V)| U = W ) ))),
% 0.13/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.37 fof(f171,axiom,(
% 0.13/0.37 (![U,V,W,X]: (( cons(U,V) != cons(W,X)| ~ ssItem(W)| ~ ssItem(U)| ~ ssList(X)| ~ ssList(V)| X = V ) ))),
% 0.13/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.37 fof(f172,axiom,(
% 0.13/0.37 (![U,V,W,X]: (( ~ segmentP(U,V)| ~ ssList(W)| ~ ssList(X)| ~ ssList(V)| ~ ssList(U)| segmentP(app(app(X,U),W),V) ) ))),
% 0.13/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.37 fof(f173,axiom,(
% 0.13/0.37 (![U,V,W,X]: (( app(app(U,V),W) != X| ~ ssList(W)| ~ ssList(U)| ~ ssList(V)| ~ ssList(X)| segmentP(X,V) ) ))),
% 0.13/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.37 fof(f186,negated_conjecture,(
% 0.13/0.37 ssList(sk1) ),
% 0.13/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.37 fof(f187,negated_conjecture,(
% 0.13/0.37 ssList(sk2) ),
% 0.13/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.37 fof(f190,negated_conjecture,(
% 0.13/0.37 sk2 = sk4 ),
% 0.13/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.37 fof(f191,negated_conjecture,(
% 0.13/0.37 sk1 = sk3 ),
% 0.13/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.37 fof(f192,negated_conjecture,(
% 0.13/0.37 ssList(sk5) ),
% 0.13/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.37 fof(f193,negated_conjecture,(
% 0.13/0.37 ssList(sk6) ),
% 0.13/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.37 fof(f194,negated_conjecture,(
% 0.13/0.37 app(app(sk5,sk3),sk6) = sk4 ),
% 0.13/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.37 fof(f198,negated_conjecture,(
% 0.13/0.37 ( nil = sk4| nil != sk3 ) ),
% 0.13/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.37 fof(f199,negated_conjecture,(
% 0.13/0.37 ( nil = sk2| neq(sk2,nil) ) ),
% 0.13/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.37 fof(f200,negated_conjecture,(
% 0.13/0.37 ( nil = sk2| ~ neq(sk1,nil)| ~ segmentP(sk2,sk1) ) ),
% 0.13/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.37 fof(f201,negated_conjecture,(
% 0.13/0.37 ( nil != sk1| neq(sk2,nil) ) ),
% 0.13/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.37 fof(f210,plain,(
% 0.13/0.37 ssList(nil)),
% 0.13/0.37 inference(cnf_transformation,[status(esa)],[f8])).
% 0.13/0.37 fof(f258,plain,(
% 0.13/0.37 ![X0]: (~ssList(X0)|segmentP(X0,nil))),
% 0.13/0.37 inference(cnf_transformation,[status(esa)],[f56])).
% 0.13/0.37 fof(f274,plain,(
% 0.13/0.37 (![U]: (~ssList(U)|duplicatefreeP(U)))|(![V]: ssItem(V))),
% 0.13/0.37 inference(miniscoping,[status(esa)],[f72])).
% 0.13/0.37 fof(f275,plain,(
% 0.13/0.37 ![X0,X1]: (~ssList(X0)|duplicatefreeP(X0)|ssItem(X1))),
% 0.13/0.37 inference(cnf_transformation,[status(esa)],[f274])).
% 0.13/0.37 fof(f276,plain,(
% 0.13/0.37 ![X0]: (~ssList(X0)|app(X0,nil)=X0)),
% 0.13/0.37 inference(cnf_transformation,[status(esa)],[f73])).
% 0.13/0.37 fof(f277,plain,(
% 0.13/0.37 ![X0]: (~ssList(X0)|app(nil,X0)=X0)),
% 0.13/0.37 inference(cnf_transformation,[status(esa)],[f74])).
% 0.13/0.37 fof(f283,plain,(
% 0.13/0.37 ![X0]: (~segmentP(nil,X0)|~ssList(X0)|nil=X0)),
% 0.13/0.37 inference(cnf_transformation,[status(esa)],[f80])).
% 0.13/0.37 fof(f288,plain,(
% 0.13/0.37 ![X0,X1]: (~ssList(X0)|~ssList(X1)|ssList(app(X1,X0)))),
% 0.13/0.37 inference(cnf_transformation,[status(esa)],[f85])).
% 0.13/0.37 fof(f305,plain,(
% 0.13/0.37 ![X0,X1]: (~ssList(X0)|~ssList(X1)|neq(X1,X0)|X1=X0)),
% 0.13/0.37 inference(cnf_transformation,[status(esa)],[f100])).
% 0.13/0.37 fof(f323,plain,(
% 0.13/0.37 ![U]: ((![V]: ((~U=V|~neq(U,V))|~ssList(V)))|~ssList(U))),
% 0.13/0.37 inference(miniscoping,[status(esa)],[f115])).
% 0.13/0.37 fof(f324,plain,(
% 0.13/0.37 ![X0,X1]: (~X0=X1|~neq(X0,X1)|~ssList(X1)|~ssList(X0))),
% 0.13/0.37 inference(cnf_transformation,[status(esa)],[f323])).
% 0.13/0.37 fof(f342,plain,(
% 0.13/0.37 ![X0,X1]: (~segmentP(X0,X1)|~segmentP(X1,X0)|~ssList(X0)|~ssList(X1)|X1=X0)),
% 0.13/0.37 inference(cnf_transformation,[status(esa)],[f127])).
% 0.13/0.37 fof(f371,plain,(
% 0.13/0.37 ![X0,X1,X2]: (~ssList(X0)|~ssList(X1)|~ssList(X2)|app(app(X2,X1),X0)=app(X2,app(X1,X0)))),
% 0.13/0.37 inference(cnf_transformation,[status(esa)],[f149])).
% 0.13/0.37 fof(f372,plain,(
% 0.13/0.37 ![V,W]: (((![U]: ((~app(U,V)=app(U,W)|~ssList(V))|~ssList(U)))|~ssList(W))|V=W)),
% 0.13/0.37 inference(miniscoping,[status(esa)],[f150])).
% 0.13/0.37 fof(f373,plain,(
% 0.13/0.37 ![X0,X1,X2]: (~app(X0,X1)=app(X0,X2)|~ssList(X1)|~ssList(X0)|~ssList(X2)|X1=X2)),
% 0.13/0.37 inference(cnf_transformation,[status(esa)],[f372])).
% 0.13/0.37 fof(f374,plain,(
% 0.13/0.37 ![U,W]: (((![V]: ((~app(U,V)=app(W,V)|~ssList(U))|~ssList(V)))|~ssList(W))|U=W)),
% 0.13/0.37 inference(miniscoping,[status(esa)],[f151])).
% 0.13/0.37 fof(f375,plain,(
% 0.13/0.37 ![X0,X1,X2]: (~app(X0,X1)=app(X2,X1)|~ssList(X0)|~ssList(X1)|~ssList(X2)|X0=X2)),
% 0.13/0.37 inference(cnf_transformation,[status(esa)],[f374])).
% 0.13/0.37 fof(f376,plain,(
% 0.13/0.37 ![U,W]: (((![V]: (((~segmentP(U,V)|~segmentP(V,W))|~ssList(W))|~ssList(V)))|~ssList(U))|segmentP(U,W))),
% 0.13/0.37 inference(miniscoping,[status(esa)],[f152])).
% 0.13/0.37 fof(f377,plain,(
% 0.13/0.37 ![X0,X1,X2]: (~segmentP(X0,X1)|~segmentP(X1,X2)|~ssList(X2)|~ssList(X1)|~ssList(X0)|segmentP(X0,X2))),
% 0.13/0.37 inference(cnf_transformation,[status(esa)],[f376])).
% 0.13/0.37 fof(f403,plain,(
% 0.13/0.37 ![U,W]: ((![V]: ((![X]: (((~cons(U,V)=cons(W,X)|~ssItem(W))|~ssItem(U))|~ssList(X)))|~ssList(V)))|U=W)),
% 0.13/0.37 inference(miniscoping,[status(esa)],[f170])).
% 0.13/0.37 fof(f404,plain,(
% 0.13/0.37 ![X0,X1,X2,X3]: (~cons(X0,X1)=cons(X2,X3)|~ssItem(X2)|~ssItem(X0)|~ssList(X3)|~ssList(X1)|X0=X2)),
% 0.13/0.37 inference(cnf_transformation,[status(esa)],[f403])).
% 0.13/0.37 fof(f405,plain,(
% 0.13/0.37 ![V,X]: ((((![U]: ((![W]: (~cons(U,V)=cons(W,X)|~ssItem(W)))|~ssItem(U)))|~ssList(X))|~ssList(V))|X=V)),
% 0.13/0.37 inference(miniscoping,[status(esa)],[f171])).
% 0.13/0.37 fof(f406,plain,(
% 0.13/0.37 ![X0,X1,X2,X3]: (~cons(X0,X1)=cons(X2,X3)|~ssItem(X2)|~ssItem(X0)|~ssList(X3)|~ssList(X1)|X3=X1)),
% 0.13/0.37 inference(cnf_transformation,[status(esa)],[f405])).
% 0.13/0.37 fof(f407,plain,(
% 0.13/0.37 ![X0,X1,X2,X3]: (~segmentP(X0,X1)|~ssList(X2)|~ssList(X3)|~ssList(X1)|~ssList(X0)|segmentP(app(app(X3,X0),X2),X1))),
% 0.13/0.37 inference(cnf_transformation,[status(esa)],[f172])).
% 0.13/0.37 fof(f408,plain,(
% 0.13/0.37 ![V,X]: ((((![U]: ((![W]: (~app(app(U,V),W)=X|~ssList(W)))|~ssList(U)))|~ssList(V))|~ssList(X))|segmentP(X,V))),
% 0.13/0.37 inference(miniscoping,[status(esa)],[f173])).
% 0.13/0.37 fof(f409,plain,(
% 0.13/0.37 ![X0,X1,X2,X3]: (~app(app(X0,X1),X2)=X3|~ssList(X2)|~ssList(X0)|~ssList(X1)|~ssList(X3)|segmentP(X3,X1))),
% 0.13/0.37 inference(cnf_transformation,[status(esa)],[f408])).
% 0.13/0.37 fof(f433,plain,(
% 0.13/0.37 ssList(sk1)),
% 0.13/0.37 inference(cnf_transformation,[status(esa)],[f186])).
% 0.13/0.37 fof(f434,plain,(
% 0.13/0.37 ssList(sk2)),
% 0.13/0.37 inference(cnf_transformation,[status(esa)],[f187])).
% 0.13/0.37 fof(f437,plain,(
% 0.13/0.37 sk2=sk4),
% 0.13/0.37 inference(cnf_transformation,[status(esa)],[f190])).
% 0.13/0.37 fof(f438,plain,(
% 0.13/0.37 sk1=sk3),
% 0.13/0.37 inference(cnf_transformation,[status(esa)],[f191])).
% 0.13/0.37 fof(f439,plain,(
% 0.13/0.37 ssList(sk5)),
% 0.13/0.37 inference(cnf_transformation,[status(esa)],[f192])).
% 0.13/0.37 fof(f440,plain,(
% 0.13/0.37 ssList(sk6)),
% 0.13/0.37 inference(cnf_transformation,[status(esa)],[f193])).
% 0.13/0.37 fof(f441,plain,(
% 0.13/0.37 app(app(sk5,sk3),sk6)=sk4),
% 0.13/0.37 inference(cnf_transformation,[status(esa)],[f194])).
% 0.13/0.37 fof(f447,plain,(
% 0.13/0.37 nil=sk4|~nil=sk3),
% 0.13/0.37 inference(cnf_transformation,[status(esa)],[f198])).
% 0.13/0.37 fof(f448,plain,(
% 0.13/0.37 nil=sk2|neq(sk2,nil)),
% 0.13/0.37 inference(cnf_transformation,[status(esa)],[f199])).
% 0.13/0.37 fof(f449,plain,(
% 0.13/0.37 nil=sk2|~neq(sk1,nil)|~segmentP(sk2,sk1)),
% 0.13/0.37 inference(cnf_transformation,[status(esa)],[f200])).
% 0.13/0.37 fof(f450,plain,(
% 0.13/0.37 ~nil=sk1|neq(sk2,nil)),
% 0.13/0.37 inference(cnf_transformation,[status(esa)],[f201])).
% 0.13/0.37 fof(f452,plain,(
% 0.13/0.37 spl0_0 <=> ~ssList(X0)|duplicatefreeP(X0)),
% 0.13/0.37 introduced(split_symbol_definition)).
% 0.13/0.37 fof(f453,plain,(
% 0.13/0.37 ![X0]: (~ssList(X0)|duplicatefreeP(X0)|~spl0_0)),
% 0.13/0.37 inference(component_clause,[status(thm)],[f452])).
% 0.13/0.37 fof(f455,plain,(
% 0.13/0.37 spl0_1 <=> ssItem(X1)),
% 0.13/0.37 introduced(split_symbol_definition)).
% 0.13/0.37 fof(f456,plain,(
% 0.13/0.37 ![X0]: (ssItem(X0)|~spl0_1)),
% 0.13/0.37 inference(component_clause,[status(thm)],[f455])).
% 0.13/0.37 fof(f458,plain,(
% 0.13/0.37 spl0_0|spl0_1),
% 0.13/0.37 inference(split_clause,[status(thm)],[f275,f452,f455])).
% 0.13/0.37 fof(f459,plain,(
% 0.13/0.37 spl0_2 <=> nil=sk4),
% 0.13/0.37 introduced(split_symbol_definition)).
% 0.13/0.37 fof(f460,plain,(
% 0.13/0.37 nil=sk4|~spl0_2),
% 0.13/0.37 inference(component_clause,[status(thm)],[f459])).
% 0.13/0.37 fof(f461,plain,(
% 0.13/0.37 ~nil=sk4|spl0_2),
% 0.13/0.37 inference(component_clause,[status(thm)],[f459])).
% 0.13/0.37 fof(f462,plain,(
% 0.13/0.37 spl0_3 <=> nil=sk3),
% 0.13/0.37 introduced(split_symbol_definition)).
% 0.13/0.37 fof(f464,plain,(
% 0.13/0.37 ~nil=sk3|spl0_3),
% 0.13/0.37 inference(component_clause,[status(thm)],[f462])).
% 0.13/0.37 fof(f465,plain,(
% 0.13/0.37 spl0_2|~spl0_3),
% 0.13/0.37 inference(split_clause,[status(thm)],[f447,f459,f462])).
% 0.13/0.37 fof(f466,plain,(
% 0.13/0.37 spl0_4 <=> nil=sk2),
% 0.13/0.37 introduced(split_symbol_definition)).
% 0.13/0.37 fof(f467,plain,(
% 0.13/0.37 nil=sk2|~spl0_4),
% 0.13/0.37 inference(component_clause,[status(thm)],[f466])).
% 0.13/0.37 fof(f469,plain,(
% 0.13/0.37 spl0_5 <=> neq(sk2,nil)),
% 0.13/0.37 introduced(split_symbol_definition)).
% 0.13/0.37 fof(f470,plain,(
% 0.13/0.37 neq(sk2,nil)|~spl0_5),
% 0.13/0.37 inference(component_clause,[status(thm)],[f469])).
% 0.13/0.37 fof(f472,plain,(
% 0.13/0.37 spl0_4|spl0_5),
% 0.13/0.37 inference(split_clause,[status(thm)],[f448,f466,f469])).
% 0.13/0.37 fof(f473,plain,(
% 0.13/0.37 spl0_6 <=> neq(sk1,nil)),
% 0.13/0.37 introduced(split_symbol_definition)).
% 0.13/0.37 fof(f475,plain,(
% 0.13/0.37 ~neq(sk1,nil)|spl0_6),
% 0.13/0.37 inference(component_clause,[status(thm)],[f473])).
% 0.13/0.37 fof(f476,plain,(
% 0.13/0.37 spl0_7 <=> segmentP(sk2,sk1)),
% 0.13/0.37 introduced(split_symbol_definition)).
% 0.13/0.37 fof(f477,plain,(
% 0.13/0.37 segmentP(sk2,sk1)|~spl0_7),
% 0.13/0.37 inference(component_clause,[status(thm)],[f476])).
% 0.13/0.37 fof(f479,plain,(
% 0.13/0.37 spl0_4|~spl0_6|~spl0_7),
% 0.13/0.37 inference(split_clause,[status(thm)],[f449,f466,f473,f476])).
% 0.13/0.37 fof(f480,plain,(
% 0.13/0.37 spl0_8 <=> nil=sk1),
% 0.13/0.37 introduced(split_symbol_definition)).
% 0.13/0.37 fof(f481,plain,(
% 0.13/0.37 nil=sk1|~spl0_8),
% 0.13/0.37 inference(component_clause,[status(thm)],[f480])).
% 0.13/0.37 fof(f483,plain,(
% 0.13/0.37 ~spl0_8|spl0_5),
% 0.13/0.37 inference(split_clause,[status(thm)],[f450,f480,f469])).
% 0.13/0.37 fof(f492,plain,(
% 0.13/0.37 ![X1]: (~neq(X1,X1)|~ssList(X1)|~ssList(X1))),
% 0.13/0.37 inference(destructive_equality_resolution,[status(esa)],[f324])).
% 0.13/0.37 fof(f493,plain,(
% 0.13/0.37 ![X0]: (~neq(X0,X0)|~ssList(X0))),
% 0.13/0.37 inference(duplicate_literals_removal,[status(esa)],[f492])).
% 0.13/0.37 fof(f503,plain,(
% 0.13/0.37 ![X0,X1,X2]: (~ssList(X0)|~ssList(X1)|~ssList(X2)|~ssList(app(app(X1,X2),X0))|segmentP(app(app(X1,X2),X0),X2))),
% 0.13/0.37 inference(destructive_equality_resolution,[status(esa)],[f409])).
% 0.13/0.37 fof(f517,plain,(
% 0.13/0.37 ~nil=sk1|spl0_3),
% 0.13/0.37 inference(forward_demodulation,[status(thm)],[f438,f464])).
% 0.13/0.37 fof(f518,plain,(
% 0.13/0.37 nil=sk4|~spl0_4),
% 0.13/0.37 inference(backward_demodulation,[status(thm)],[f467,f437])).
% 0.13/0.37 fof(f529,plain,(
% 0.13/0.37 app(app(sk5,sk1),sk6)=sk4),
% 0.13/0.37 inference(forward_demodulation,[status(thm)],[f438,f441])).
% 0.13/0.37 fof(f530,plain,(
% 0.13/0.37 app(app(sk5,sk1),sk6)=nil|~spl0_4),
% 0.13/0.37 inference(forward_demodulation,[status(thm)],[f518,f529])).
% 0.13/0.37 fof(f533,plain,(
% 0.13/0.37 spl0_9 <=> ssList(nil)),
% 0.13/0.37 introduced(split_symbol_definition)).
% 0.13/0.37 fof(f535,plain,(
% 0.13/0.37 ~ssList(nil)|spl0_9),
% 0.13/0.37 inference(component_clause,[status(thm)],[f533])).
% 0.13/0.37 fof(f536,plain,(
% 0.13/0.37 spl0_10 <=> nil=nil),
% 0.13/0.37 introduced(split_symbol_definition)).
% 0.13/0.37 fof(f539,plain,(
% 0.13/0.37 ~ssList(nil)|nil=nil|~ssList(nil)),
% 0.13/0.37 inference(resolution,[status(thm)],[f283,f258])).
% 0.13/0.37 fof(f540,plain,(
% 0.13/0.37 ~spl0_9|spl0_10),
% 0.13/0.37 inference(split_clause,[status(thm)],[f539,f533,f536])).
% 0.13/0.37 fof(f543,plain,(
% 0.13/0.37 $false|spl0_9),
% 0.13/0.37 inference(forward_subsumption_resolution,[status(thm)],[f535,f210])).
% 0.13/0.37 fof(f544,plain,(
% 0.13/0.37 spl0_9),
% 0.13/0.37 inference(contradiction_clause,[status(thm)],[f543])).
% 0.13/0.37 fof(f545,plain,(
% 0.13/0.37 ![X0,X1]: (~ssList(X0)|~ssList(X1)|duplicatefreeP(app(X1,X0))|~spl0_0)),
% 0.13/0.37 inference(resolution,[status(thm)],[f288,f453])).
% 0.13/0.37 fof(f546,plain,(
% 0.13/0.37 spl0_11 <=> ssList(sk6)),
% 0.13/0.37 introduced(split_symbol_definition)).
% 0.13/0.37 fof(f548,plain,(
% 0.13/0.37 ~ssList(sk6)|spl0_11),
% 0.13/0.37 inference(component_clause,[status(thm)],[f546])).
% 0.13/0.37 fof(f549,plain,(
% 0.13/0.37 spl0_12 <=> ssList(app(sk5,sk1))),
% 0.13/0.37 introduced(split_symbol_definition)).
% 0.13/0.37 fof(f551,plain,(
% 0.13/0.37 ~ssList(app(sk5,sk1))|spl0_12),
% 0.13/0.37 inference(component_clause,[status(thm)],[f549])).
% 0.13/0.37 fof(f554,plain,(
% 0.13/0.37 $false|spl0_11),
% 0.13/0.37 inference(forward_subsumption_resolution,[status(thm)],[f548,f440])).
% 0.13/0.37 fof(f555,plain,(
% 0.13/0.37 spl0_11),
% 0.13/0.37 inference(contradiction_clause,[status(thm)],[f554])).
% 0.13/0.37 fof(f556,plain,(
% 0.13/0.37 spl0_13 <=> ssList(sk1)),
% 0.13/0.37 introduced(split_symbol_definition)).
% 0.13/0.37 fof(f558,plain,(
% 0.13/0.37 ~ssList(sk1)|spl0_13),
% 0.13/0.37 inference(component_clause,[status(thm)],[f556])).
% 0.13/0.37 fof(f559,plain,(
% 0.13/0.37 spl0_14 <=> ssList(sk5)),
% 0.13/0.37 introduced(split_symbol_definition)).
% 0.13/0.37 fof(f561,plain,(
% 0.13/0.37 ~ssList(sk5)|spl0_14),
% 0.13/0.37 inference(component_clause,[status(thm)],[f559])).
% 0.13/0.37 fof(f562,plain,(
% 0.13/0.37 ~ssList(sk1)|~ssList(sk5)|spl0_12),
% 0.13/0.37 inference(resolution,[status(thm)],[f551,f288])).
% 0.13/0.37 fof(f563,plain,(
% 0.13/0.37 ~spl0_13|~spl0_14|spl0_12),
% 0.13/0.37 inference(split_clause,[status(thm)],[f562,f556,f559,f549])).
% 0.13/0.37 fof(f564,plain,(
% 0.13/0.37 $false|spl0_14),
% 0.13/0.37 inference(forward_subsumption_resolution,[status(thm)],[f561,f439])).
% 0.13/0.37 fof(f565,plain,(
% 0.13/0.37 spl0_14),
% 0.13/0.37 inference(contradiction_clause,[status(thm)],[f564])).
% 0.13/0.37 fof(f566,plain,(
% 0.13/0.37 $false|spl0_13),
% 0.13/0.37 inference(forward_subsumption_resolution,[status(thm)],[f558,f433])).
% 0.13/0.37 fof(f567,plain,(
% 0.13/0.37 spl0_13),
% 0.13/0.37 inference(contradiction_clause,[status(thm)],[f566])).
% 0.13/0.37 fof(f570,plain,(
% 0.13/0.37 app(app(sk5,sk1),sk6)=sk2),
% 0.13/0.37 inference(forward_demodulation,[status(thm)],[f437,f529])).
% 0.13/0.37 fof(f571,plain,(
% 0.13/0.37 spl0_15 <=> duplicatefreeP(sk2)),
% 0.13/0.37 introduced(split_symbol_definition)).
% 0.13/0.37 fof(f574,plain,(
% 0.13/0.37 ~ssList(sk6)|~ssList(app(sk5,sk1))|duplicatefreeP(sk2)|~spl0_0),
% 0.13/0.37 inference(paramodulation,[status(thm)],[f570,f545])).
% 0.13/0.37 fof(f575,plain,(
% 0.13/0.37 ~spl0_11|~spl0_12|spl0_15|~spl0_0),
% 0.13/0.37 inference(split_clause,[status(thm)],[f574,f546,f549,f571,f452])).
% 0.13/0.37 fof(f576,plain,(
% 0.13/0.37 spl0_16 <=> ssList(sk2)),
% 0.13/0.37 introduced(split_symbol_definition)).
% 0.13/0.37 fof(f579,plain,(
% 0.13/0.37 ~ssList(sk6)|~ssList(app(sk5,sk1))|ssList(sk2)),
% 0.13/0.37 inference(paramodulation,[status(thm)],[f570,f288])).
% 0.13/0.37 fof(f580,plain,(
% 0.13/0.37 ~spl0_11|~spl0_12|spl0_16),
% 0.13/0.37 inference(split_clause,[status(thm)],[f579,f546,f549,f576])).
% 0.13/0.37 fof(f614,plain,(
% 0.13/0.37 spl0_19 <=> ~segmentP(nil,X0)|~ssList(X0)|X0=nil|~ssList(X0)),
% 0.13/0.37 introduced(split_symbol_definition)).
% 0.13/0.37 fof(f617,plain,(
% 0.13/0.37 ![X0]: (~segmentP(nil,X0)|~ssList(nil)|~ssList(X0)|X0=nil|~ssList(X0))),
% 0.13/0.37 inference(resolution,[status(thm)],[f342,f258])).
% 0.13/0.37 fof(f618,plain,(
% 0.13/0.37 spl0_19|~spl0_9),
% 0.13/0.37 inference(split_clause,[status(thm)],[f617,f614,f533])).
% 0.13/0.37 fof(f625,plain,(
% 0.13/0.37 spl0_21 <=> ~ssItem(X0)),
% 0.13/0.37 introduced(split_symbol_definition)).
% 0.13/0.37 fof(f630,plain,(
% 0.13/0.37 spl0_22 <=> ~ssList(app(nil,X0))|~ssList(X0)|app(nil,X0)=X0|~ssList(app(nil,X0))),
% 0.13/0.37 introduced(split_symbol_definition)).
% 0.13/0.37 fof(f633,plain,(
% 0.13/0.37 ![X0]: (~ssList(app(nil,X0))|~ssList(nil)|~ssList(X0)|app(nil,X0)=X0|~ssList(app(nil,X0)))),
% 0.13/0.37 inference(resolution,[status(thm)],[f373,f277])).
% 0.13/0.37 fof(f634,plain,(
% 0.13/0.37 spl0_22|~spl0_9),
% 0.13/0.37 inference(split_clause,[status(thm)],[f633,f630,f533])).
% 0.13/0.37 fof(f637,plain,(
% 0.13/0.37 spl0_23 <=> ~sk2=app(app(sk5,sk1),X0)|~ssList(X0)|sk6=X0),
% 0.13/0.37 introduced(split_symbol_definition)).
% 0.13/0.37 fof(f638,plain,(
% 0.13/0.37 ![X0]: (~sk2=app(app(sk5,sk1),X0)|~ssList(X0)|sk6=X0|~spl0_23)),
% 0.13/0.37 inference(component_clause,[status(thm)],[f637])).
% 0.13/0.37 fof(f640,plain,(
% 0.13/0.37 ![X0]: (~sk2=app(app(sk5,sk1),X0)|~ssList(sk6)|~ssList(app(sk5,sk1))|~ssList(X0)|sk6=X0)),
% 0.13/0.37 inference(paramodulation,[status(thm)],[f570,f373])).
% 0.13/0.37 fof(f641,plain,(
% 0.13/0.37 spl0_23|~spl0_11|~spl0_12),
% 0.13/0.37 inference(split_clause,[status(thm)],[f640,f637,f546,f549])).
% 0.13/0.37 fof(f644,plain,(
% 0.13/0.37 spl0_24 <=> ~ssList(X0)|~ssList(X0)|X0=X0),
% 0.13/0.37 introduced(split_symbol_definition)).
% 0.13/0.37 fof(f647,plain,(
% 0.13/0.37 spl0_25 <=> ~ssList(X1)),
% 0.13/0.37 introduced(split_symbol_definition)).
% 0.13/0.37 fof(f650,plain,(
% 0.13/0.37 ![X0,X1]: (~ssList(X0)|~ssList(X1)|~ssList(X0)|X0=X0)),
% 0.13/0.37 inference(equality_resolution,[status(esa)],[f373])).
% 0.13/0.37 fof(f651,plain,(
% 0.13/0.37 spl0_24|spl0_25),
% 0.13/0.37 inference(split_clause,[status(thm)],[f650,f644,f647])).
% 0.13/0.37 fof(f665,plain,(
% 0.13/0.37 ~ssList(nil)|~ssList(sk1)|sk1=nil|spl0_6),
% 0.13/0.37 inference(resolution,[status(thm)],[f475,f305])).
% 0.13/0.37 fof(f666,plain,(
% 0.13/0.37 ~spl0_9|~spl0_13|spl0_8|spl0_6),
% 0.13/0.37 inference(split_clause,[status(thm)],[f665,f533,f556,f480,f473])).
% 0.13/0.37 fof(f667,plain,(
% 0.13/0.37 $false|spl0_3|~spl0_8),
% 0.13/0.37 inference(forward_subsumption_resolution,[status(thm)],[f481,f517])).
% 0.13/0.37 fof(f668,plain,(
% 0.13/0.37 spl0_3|~spl0_8),
% 0.13/0.37 inference(contradiction_clause,[status(thm)],[f667])).
% 0.13/0.37 fof(f669,plain,(
% 0.13/0.37 nil=sk2|~spl0_2),
% 0.13/0.37 inference(forward_demodulation,[status(thm)],[f437,f460])).
% 0.13/0.37 fof(f673,plain,(
% 0.13/0.37 nil=sk2|~spl0_4),
% 0.13/0.37 inference(forward_demodulation,[status(thm)],[f437,f518])).
% 0.13/0.37 fof(f674,plain,(
% 0.13/0.37 sk2=nil|~spl0_4),
% 0.13/0.37 inference(forward_demodulation,[status(thm)],[f570,f530])).
% 0.13/0.37 fof(f687,plain,(
% 0.13/0.37 neq(nil,nil)|~spl0_2|~spl0_5),
% 0.13/0.37 inference(backward_demodulation,[status(thm)],[f669,f470])).
% 0.13/0.37 fof(f742,plain,(
% 0.13/0.37 ~ssList(nil)|~spl0_2|~spl0_5),
% 0.13/0.37 inference(resolution,[status(thm)],[f687,f493])).
% 0.13/0.37 fof(f743,plain,(
% 0.13/0.37 ~spl0_9|~spl0_2|~spl0_5),
% 0.13/0.37 inference(split_clause,[status(thm)],[f742,f533,f459,f469])).
% 0.13/0.37 fof(f777,plain,(
% 0.13/0.37 spl0_33 <=> sk2=app(sk5,app(sk1,sk6))),
% 0.13/0.37 introduced(split_symbol_definition)).
% 0.13/0.37 fof(f780,plain,(
% 0.13/0.37 ~ssList(sk6)|~ssList(sk1)|~ssList(sk5)|sk2=app(sk5,app(sk1,sk6))),
% 0.13/0.37 inference(paramodulation,[status(thm)],[f570,f371])).
% 0.13/0.37 fof(f781,plain,(
% 0.13/0.37 ~spl0_11|~spl0_13|~spl0_14|spl0_33),
% 0.13/0.37 inference(split_clause,[status(thm)],[f780,f546,f556,f559,f777])).
% 0.13/0.37 fof(f782,plain,(
% 0.13/0.37 spl0_34 <=> ~ssList(X0)|app(sk2,X0)=app(app(sk5,sk1),app(sk6,X0))),
% 0.13/0.37 introduced(split_symbol_definition)).
% 0.13/0.37 fof(f785,plain,(
% 0.13/0.37 ![X0]: (~ssList(X0)|~ssList(sk6)|~ssList(app(sk5,sk1))|app(sk2,X0)=app(app(sk5,sk1),app(sk6,X0)))),
% 0.13/0.37 inference(paramodulation,[status(thm)],[f570,f371])).
% 0.13/0.37 fof(f786,plain,(
% 0.13/0.37 spl0_34|~spl0_11|~spl0_12),
% 0.13/0.37 inference(split_clause,[status(thm)],[f785,f782,f546,f549])).
% 0.13/0.37 fof(f787,plain,(
% 0.13/0.37 spl0_35 <=> ~ssList(app(X0,nil))|~ssList(X0)|app(X0,nil)=X0|~ssList(app(X0,nil))),
% 0.13/0.37 introduced(split_symbol_definition)).
% 0.13/0.37 fof(f790,plain,(
% 0.13/0.37 ![X0]: (~ssList(app(X0,nil))|~ssList(nil)|~ssList(X0)|app(X0,nil)=X0|~ssList(app(X0,nil)))),
% 0.13/0.37 inference(resolution,[status(thm)],[f375,f276])).
% 0.13/0.37 fof(f791,plain,(
% 0.13/0.37 spl0_35|~spl0_9),
% 0.13/0.37 inference(split_clause,[status(thm)],[f790,f787,f533])).
% 0.13/0.37 fof(f794,plain,(
% 0.13/0.37 spl0_36 <=> ~sk2=app(X0,sk6)|~ssList(X0)|app(sk5,sk1)=X0),
% 0.13/0.37 introduced(split_symbol_definition)).
% 0.13/0.37 fof(f797,plain,(
% 0.13/0.37 ![X0]: (~sk2=app(X0,sk6)|~ssList(app(sk5,sk1))|~ssList(sk6)|~ssList(X0)|app(sk5,sk1)=X0)),
% 0.13/0.37 inference(paramodulation,[status(thm)],[f570,f375])).
% 0.13/0.37 fof(f798,plain,(
% 0.13/0.37 spl0_36|~spl0_12|~spl0_11),
% 0.13/0.37 inference(split_clause,[status(thm)],[f797,f794,f549,f546])).
% 0.13/0.37 fof(f812,plain,(
% 0.13/0.37 ~nil=sk2|spl0_2),
% 0.13/0.37 inference(forward_demodulation,[status(thm)],[f437,f461])).
% 0.13/0.37 fof(f816,plain,(
% 0.13/0.37 spl0_37 <=> sk6=sk6),
% 0.13/0.37 introduced(split_symbol_definition)).
% 0.13/0.37 fof(f819,plain,(
% 0.13/0.37 ~ssList(sk6)|sk6=sk6|~spl0_23),
% 0.13/0.37 inference(resolution,[status(thm)],[f638,f570])).
% 0.13/0.37 fof(f820,plain,(
% 0.13/0.37 ~spl0_11|spl0_37|~spl0_23),
% 0.13/0.37 inference(split_clause,[status(thm)],[f819,f546,f816,f637])).
% 0.13/0.37 fof(f882,plain,(
% 0.13/0.37 spl0_45 <=> ~segmentP(X0,X1)|~ssList(X1)|~ssList(X0)|segmentP(X0,nil)|~ssList(X1)),
% 0.13/0.37 introduced(split_symbol_definition)).
% 0.13/0.37 fof(f885,plain,(
% 0.13/0.37 ![X0,X1]: (~segmentP(X0,X1)|~ssList(nil)|~ssList(X1)|~ssList(X0)|segmentP(X0,nil)|~ssList(X1))),
% 0.13/0.37 inference(resolution,[status(thm)],[f377,f258])).
% 0.13/0.37 fof(f886,plain,(
% 0.13/0.37 spl0_45|~spl0_9),
% 0.13/0.37 inference(split_clause,[status(thm)],[f885,f882,f533])).
% 0.13/0.37 fof(f896,plain,(
% 0.13/0.37 ![X0,X1,X2,X3]: (~cons(X0,X1)=cons(X2,X3)|~ssItem(X0)|~ssList(X3)|~ssList(X1)|X0=X2|~spl0_1)),
% 0.13/0.37 inference(forward_subsumption_resolution,[status(thm)],[f404,f456])).
% 0.13/0.37 fof(f897,plain,(
% 0.13/0.37 spl0_47 <=> ~ssItem(X0)|X0=X0),
% 0.13/0.37 introduced(split_symbol_definition)).
% 0.13/0.37 fof(f900,plain,(
% 0.13/0.37 spl0_48 <=> ~ssList(X1)|~ssList(X1)),
% 0.13/0.37 introduced(split_symbol_definition)).
% 0.13/0.37 fof(f903,plain,(
% 0.13/0.37 ![X0,X1]: (~ssItem(X0)|~ssList(X1)|~ssList(X1)|X0=X0|~spl0_1)),
% 0.13/0.37 inference(equality_resolution,[status(esa)],[f896])).
% 0.13/0.37 fof(f904,plain,(
% 0.13/0.37 spl0_47|spl0_48|~spl0_1),
% 0.13/0.37 inference(split_clause,[status(thm)],[f903,f897,f900,f455])).
% 0.13/0.37 fof(f905,plain,(
% 0.13/0.37 ![X0,X1,X2,X3]: (~cons(X0,X1)=cons(X2,X3)|~ssItem(X0)|~ssList(X3)|~ssList(X1)|X3=X1|~spl0_1)),
% 0.13/0.37 inference(forward_subsumption_resolution,[status(thm)],[f406,f456])).
% 0.13/0.37 fof(f906,plain,(
% 0.13/0.37 ![X0,X1]: (~ssItem(X0)|~ssList(X1)|~ssList(X1)|X1=X1|~spl0_1)),
% 0.13/0.37 inference(equality_resolution,[status(esa)],[f905])).
% 0.13/0.37 fof(f907,plain,(
% 0.13/0.37 spl0_21|spl0_24|~spl0_1),
% 0.13/0.37 inference(split_clause,[status(thm)],[f906,f625,f644,f455])).
% 0.13/0.37 fof(f910,plain,(
% 0.13/0.37 ![X0,X1,X2,X3,X4]: (~segmentP(X0,X1)|~ssList(X2)|~ssList(X3)|~ssList(X1)|~ssList(X0)|~segmentP(X4,app(app(X3,X0),X2))|~ssList(X1)|~ssList(app(app(X3,X0),X2))|~ssList(X4)|segmentP(X4,X1))),
% 0.13/0.37 inference(resolution,[status(thm)],[f407,f377])).
% 0.13/0.37 fof(f911,plain,(
% 0.13/0.37 ![X0,X1,X2,X3,X4]: (~segmentP(X0,X1)|~ssList(X2)|~ssList(X3)|~ssList(X1)|~ssList(X0)|~segmentP(X4,app(app(X3,X0),X2))|~ssList(app(app(X3,X0),X2))|~ssList(X4)|segmentP(X4,X1))),
% 0.13/0.37 inference(duplicate_literals_removal,[status(esa)],[f910])).
% 0.13/0.37 fof(f914,plain,(
% 0.13/0.37 spl0_49 <=> ~segmentP(sk1,X0)|~ssList(X0)|segmentP(sk2,X0)),
% 0.13/0.37 introduced(split_symbol_definition)).
% 0.13/0.37 fof(f917,plain,(
% 0.13/0.37 ![X0]: (~segmentP(sk1,X0)|~ssList(sk6)|~ssList(sk5)|~ssList(X0)|~ssList(sk1)|segmentP(sk2,X0))),
% 0.13/0.37 inference(paramodulation,[status(thm)],[f570,f407])).
% 0.13/0.37 fof(f918,plain,(
% 0.13/0.37 spl0_49|~spl0_11|~spl0_14|~spl0_13),
% 0.13/0.37 inference(split_clause,[status(thm)],[f917,f914,f546,f559,f556])).
% 0.13/0.37 fof(f924,plain,(
% 0.13/0.37 spl0_51 <=> ~segmentP(sk6,X0)|~ssList(X1)|~ssList(X0)|segmentP(app(sk2,X1),X0)),
% 0.13/0.37 introduced(split_symbol_definition)).
% 0.13/0.37 fof(f927,plain,(
% 0.13/0.37 ![X0,X1]: (~segmentP(sk6,X0)|~ssList(X1)|~ssList(app(sk5,sk1))|~ssList(X0)|~ssList(sk6)|segmentP(app(sk2,X1),X0))),
% 0.13/0.37 inference(paramodulation,[status(thm)],[f570,f407])).
% 0.13/0.37 fof(f928,plain,(
% 0.13/0.37 spl0_51|~spl0_12|~spl0_11),
% 0.13/0.37 inference(split_clause,[status(thm)],[f927,f924,f549,f546])).
% 0.13/0.37 fof(f929,plain,(
% 0.13/0.37 ![X0,X1,X2,X3]: (~ssList(X0)|~ssList(X1)|~ssList(X2)|~ssList(app(app(X1,X2),X0))|~segmentP(X3,app(app(X1,X2),X0))|~ssList(X2)|~ssList(app(app(X1,X2),X0))|~ssList(X3)|segmentP(X3,X2))),
% 0.13/0.37 inference(resolution,[status(thm)],[f503,f377])).
% 0.13/0.37 fof(f930,plain,(
% 0.13/0.37 ![X0,X1,X2,X3]: (~ssList(X0)|~ssList(X1)|~ssList(X2)|~ssList(app(app(X1,X2),X0))|~segmentP(X3,app(app(X1,X2),X0))|~ssList(X3)|segmentP(X3,X2))),
% 0.13/0.37 inference(duplicate_literals_removal,[status(esa)],[f929])).
% 0.13/0.37 fof(f933,plain,(
% 0.13/0.37 spl0_52 <=> ssList(app(app(sk5,sk1),sk6))),
% 0.13/0.37 introduced(split_symbol_definition)).
% 0.13/0.37 fof(f935,plain,(
% 0.13/0.37 ~ssList(app(app(sk5,sk1),sk6))|spl0_52),
% 0.13/0.37 inference(component_clause,[status(thm)],[f933])).
% 0.13/0.37 fof(f936,plain,(
% 0.13/0.37 ~ssList(sk6)|~ssList(sk5)|~ssList(sk1)|~ssList(app(app(sk5,sk1),sk6))|segmentP(sk2,sk1)),
% 0.13/0.37 inference(paramodulation,[status(thm)],[f570,f503])).
% 0.13/0.37 fof(f937,plain,(
% 0.13/0.37 ~spl0_11|~spl0_14|~spl0_13|~spl0_52|spl0_7),
% 0.13/0.37 inference(split_clause,[status(thm)],[f936,f546,f559,f556,f933,f476])).
% 0.13/0.37 fof(f943,plain,(
% 0.13/0.37 spl0_54 <=> ~ssList(X0)|~ssList(app(app(app(sk5,sk1),sk6),X0))|segmentP(app(sk2,X0),sk6)),
% 0.13/0.37 introduced(split_symbol_definition)).
% 0.13/0.37 fof(f946,plain,(
% 0.13/0.37 ![X0]: (~ssList(X0)|~ssList(app(sk5,sk1))|~ssList(sk6)|~ssList(app(app(app(sk5,sk1),sk6),X0))|segmentP(app(sk2,X0),sk6))),
% 0.13/0.37 inference(paramodulation,[status(thm)],[f570,f503])).
% 0.13/0.37 fof(f947,plain,(
% 0.13/0.37 spl0_54|~spl0_12|~spl0_11),
% 0.13/0.37 inference(split_clause,[status(thm)],[f946,f943,f549,f546])).
% 0.13/0.37 fof(f948,plain,(
% 0.13/0.37 ~ssList(sk2)|spl0_52),
% 0.13/0.37 inference(forward_demodulation,[status(thm)],[f570,f935])).
% 0.13/0.37 fof(f949,plain,(
% 0.13/0.37 $false|spl0_52),
% 0.13/0.38 inference(forward_subsumption_resolution,[status(thm)],[f948,f434])).
% 0.13/0.38 fof(f950,plain,(
% 0.13/0.38 spl0_52),
% 0.13/0.38 inference(contradiction_clause,[status(thm)],[f949])).
% 0.13/0.38 fof(f952,plain,(
% 0.13/0.38 $false|spl0_2|~spl0_4),
% 0.13/0.38 inference(forward_subsumption_resolution,[status(thm)],[f674,f812])).
% 0.13/0.38 fof(f953,plain,(
% 0.13/0.38 spl0_2|~spl0_4),
% 0.13/0.38 inference(contradiction_clause,[status(thm)],[f952])).
% 0.13/0.38 fof(f962,plain,(
% 0.13/0.38 spl0_55 <=> ~segmentP(X0,sk2)|~ssList(X0)|segmentP(X0,sk1)),
% 0.13/0.38 introduced(split_symbol_definition)).
% 0.13/0.38 fof(f965,plain,(
% 0.13/0.38 ![X0]: (~ssList(sk6)|~ssList(sk5)|~ssList(sk1)|~ssList(app(app(sk5,sk1),sk6))|~segmentP(X0,sk2)|~ssList(X0)|segmentP(X0,sk1))),
% 0.13/0.38 inference(paramodulation,[status(thm)],[f570,f930])).
% 0.13/0.38 fof(f966,plain,(
% 0.13/0.38 ~spl0_11|~spl0_14|~spl0_13|~spl0_52|spl0_55),
% 0.13/0.38 inference(split_clause,[status(thm)],[f965,f546,f559,f556,f933,f962])).
% 0.13/0.38 fof(f972,plain,(
% 0.13/0.38 spl0_57 <=> ~ssList(X0)|~ssList(app(app(app(sk5,sk1),sk6),X0))|~segmentP(X1,app(sk2,X0))|~ssList(X1)|segmentP(X1,sk6)),
% 0.13/0.38 introduced(split_symbol_definition)).
% 0.13/0.38 fof(f975,plain,(
% 0.13/0.38 ![X0,X1]: (~ssList(X0)|~ssList(app(sk5,sk1))|~ssList(sk6)|~ssList(app(app(app(sk5,sk1),sk6),X0))|~segmentP(X1,app(sk2,X0))|~ssList(X1)|segmentP(X1,sk6))),
% 0.13/0.38 inference(paramodulation,[status(thm)],[f570,f930])).
% 0.13/0.38 fof(f976,plain,(
% 0.13/0.38 spl0_57|~spl0_12|~spl0_11),
% 0.13/0.38 inference(split_clause,[status(thm)],[f975,f972,f549,f546])).
% 0.13/0.38 fof(f987,plain,(
% 0.13/0.38 spl0_58 <=> ~segmentP(sk1,X0)|~ssList(X0)|~segmentP(X1,sk2)|~ssList(X1)|segmentP(X1,X0)),
% 0.13/0.38 introduced(split_symbol_definition)).
% 0.13/0.38 fof(f990,plain,(
% 0.13/0.38 ![X0,X1]: (~segmentP(sk1,X0)|~ssList(sk6)|~ssList(sk5)|~ssList(X0)|~ssList(sk1)|~segmentP(X1,sk2)|~ssList(app(app(sk5,sk1),sk6))|~ssList(X1)|segmentP(X1,X0))),
% 0.13/0.38 inference(paramodulation,[status(thm)],[f570,f911])).
% 0.13/0.38 fof(f991,plain,(
% 0.13/0.38 spl0_58|~spl0_11|~spl0_14|~spl0_13|~spl0_52),
% 0.13/0.38 inference(split_clause,[status(thm)],[f990,f987,f546,f559,f556,f933])).
% 0.13/0.38 fof(f997,plain,(
% 0.13/0.38 spl0_60 <=> ~segmentP(sk6,X0)|~ssList(X1)|~ssList(X0)|~segmentP(X2,app(sk2,X1))|~ssList(app(app(app(sk5,sk1),sk6),X1))|~ssList(X2)|segmentP(X2,X0)),
% 0.13/0.38 introduced(split_symbol_definition)).
% 0.13/0.38 fof(f1000,plain,(
% 0.13/0.38 ![X0,X1,X2]: (~segmentP(sk6,X0)|~ssList(X1)|~ssList(app(sk5,sk1))|~ssList(X0)|~ssList(sk6)|~segmentP(X2,app(sk2,X1))|~ssList(app(app(app(sk5,sk1),sk6),X1))|~ssList(X2)|segmentP(X2,X0))),
% 0.13/0.38 inference(paramodulation,[status(thm)],[f570,f911])).
% 0.13/0.38 fof(f1001,plain,(
% 0.13/0.38 spl0_60|~spl0_12|~spl0_11),
% 0.13/0.38 inference(split_clause,[status(thm)],[f1000,f997,f549,f546])).
% 0.13/0.38 fof(f1014,plain,(
% 0.13/0.38 segmentP(nil,sk1)|~spl0_4|~spl0_7),
% 0.13/0.38 inference(forward_demodulation,[status(thm)],[f673,f477])).
% 0.13/0.38 fof(f1015,plain,(
% 0.13/0.38 ~ssList(sk1)|nil=sk1|~spl0_4|~spl0_7),
% 0.13/0.38 inference(resolution,[status(thm)],[f1014,f283])).
% 0.13/0.38 fof(f1016,plain,(
% 0.13/0.38 ~spl0_13|spl0_8|~spl0_4|~spl0_7),
% 0.13/0.38 inference(split_clause,[status(thm)],[f1015,f556,f480,f466,f476])).
% 0.13/0.38 fof(f1027,plain,(
% 0.13/0.38 $false),
% 0.13/0.38 inference(sat_refutation,[status(thm)],[f458,f465,f472,f479,f483,f540,f544,f555,f563,f565,f567,f575,f580,f618,f634,f641,f651,f666,f668,f743,f781,f786,f791,f798,f820,f886,f904,f907,f918,f928,f937,f947,f950,f953,f966,f976,f991,f1001,f1016])).
% 0.13/0.38 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.38 % Elapsed time: 0.040913 seconds
% 0.13/0.38 % CPU time: 0.142631 seconds
% 0.13/0.38 % Memory used: 18.815 MB
%------------------------------------------------------------------------------