TSTP Solution File: SWC109-1 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SWC109-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n031.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 12:39:17 EDT 2023
% Result : Unsatisfiable 0.20s 0.53s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SWC109-1 : TPTP v8.1.2. Released v2.4.0.
% 0.11/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34 % Computer : n031.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 11:45:22 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.13/0.36 % Drodi V3.5.1
% 0.20/0.53 % Refutation found
% 0.20/0.53 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.20/0.53 % SZS output start CNFRefutation for theBenchmark
% 0.20/0.53 fof(f8,axiom,(
% 0.20/0.53 ssList(nil) ),
% 0.20/0.53 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.53 fof(f34,axiom,(
% 0.20/0.53 (![U]: (ssList(skaf61(U)) ))),
% 0.20/0.53 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.53 fof(f56,axiom,(
% 0.20/0.53 (![U]: (( ~ ssList(U)| segmentP(U,nil) ) ))),
% 0.20/0.53 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.53 fof(f73,axiom,(
% 0.20/0.53 (![U]: (( ~ ssList(U)| app(U,nil) = U ) ))),
% 0.20/0.53 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.53 fof(f74,axiom,(
% 0.20/0.53 (![U]: (( ~ ssList(U)| app(nil,U) = U ) ))),
% 0.20/0.53 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.53 fof(f80,axiom,(
% 0.20/0.53 (![U]: (( ~ segmentP(nil,U)| ~ ssList(U)| nil = U ) ))),
% 0.20/0.53 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.53 fof(f99,axiom,(
% 0.20/0.53 (![U,V]: (( cons(U,V) != V| ~ ssItem(U)| ~ ssList(V) ) ))),
% 0.20/0.53 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.53 fof(f100,axiom,(
% 0.20/0.53 (![U,V]: (( ~ ssList(U)| ~ ssList(V)| neq(V,U)| V = U ) ))),
% 0.20/0.53 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.53 fof(f115,axiom,(
% 0.20/0.53 (![U,V]: (( U != V| ~ neq(U,V)| ~ ssList(V)| ~ ssList(U) ) ))),
% 0.20/0.53 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.53 fof(f127,axiom,(
% 0.20/0.53 (![U,V]: (( ~ segmentP(U,V)| ~ segmentP(V,U)| ~ ssList(U)| ~ ssList(V)| V = U ) ))),
% 0.20/0.53 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.53 fof(f150,axiom,(
% 0.20/0.53 (![U,V,W]: (( app(U,V) != app(U,W)| ~ ssList(V)| ~ ssList(U)| ~ ssList(W)| V = W ) ))),
% 0.20/0.53 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.53 fof(f151,axiom,(
% 0.20/0.53 (![U,V,W]: (( app(U,V) != app(W,V)| ~ ssList(U)| ~ ssList(V)| ~ ssList(W)| U = W ) ))),
% 0.20/0.53 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.53 fof(f152,axiom,(
% 0.20/0.53 (![U,V,W]: (( ~ segmentP(U,V)| ~ segmentP(V,W)| ~ ssList(W)| ~ ssList(V)| ~ ssList(U)| segmentP(U,W) ) ))),
% 0.20/0.53 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.53 fof(f173,axiom,(
% 0.20/0.53 (![U,V,W,X]: (( app(app(U,V),W) != X| ~ ssList(W)| ~ ssList(U)| ~ ssList(V)| ~ ssList(X)| segmentP(X,V) ) ))),
% 0.20/0.53 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.53 fof(f186,negated_conjecture,(
% 0.20/0.53 ssList(sk1) ),
% 0.20/0.53 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.53 fof(f187,negated_conjecture,(
% 0.20/0.53 ssList(sk2) ),
% 0.20/0.53 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.53 fof(f190,negated_conjecture,(
% 0.20/0.53 sk2 = sk4 ),
% 0.20/0.53 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.53 fof(f191,negated_conjecture,(
% 0.20/0.53 sk1 = sk3 ),
% 0.20/0.53 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.53 fof(f192,negated_conjecture,(
% 0.20/0.53 ( ssItem(sk5)| nil = sk4 ) ),
% 0.20/0.53 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.53 fof(f196,negated_conjecture,(
% 0.20/0.53 ( cons(sk5,nil) = sk3| nil = sk4 ) ),
% 0.20/0.53 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.53 fof(f200,negated_conjecture,(
% 0.20/0.53 ( ssList(sk6)| nil = sk3 ) ),
% 0.20/0.53 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.53 fof(f201,negated_conjecture,(
% 0.20/0.53 ( ssList(sk7)| nil = sk3 ) ),
% 0.20/0.53 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.53 fof(f203,negated_conjecture,(
% 0.20/0.53 ( app(app(sk6,sk3),sk7) = sk4| nil = sk3 ) ),
% 0.20/0.53 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.53 fof(f207,negated_conjecture,(
% 0.20/0.53 ( nil = sk2| ~ neq(sk1,nil)| ~ segmentP(sk2,sk1) ) ),
% 0.20/0.53 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.53 fof(f208,negated_conjecture,(
% 0.20/0.53 ( nil != sk1| neq(sk2,nil) ) ),
% 0.20/0.53 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.53 fof(f217,plain,(
% 0.20/0.53 ssList(nil)),
% 0.20/0.53 inference(cnf_transformation,[status(esa)],[f8])).
% 0.20/0.53 fof(f243,plain,(
% 0.20/0.53 ![X0]: (ssList(skaf61(X0)))),
% 0.20/0.53 inference(cnf_transformation,[status(esa)],[f34])).
% 0.20/0.53 fof(f265,plain,(
% 0.20/0.53 ![X0]: (~ssList(X0)|segmentP(X0,nil))),
% 0.20/0.53 inference(cnf_transformation,[status(esa)],[f56])).
% 0.20/0.53 fof(f283,plain,(
% 0.20/0.53 ![X0]: (~ssList(X0)|app(X0,nil)=X0)),
% 0.20/0.53 inference(cnf_transformation,[status(esa)],[f73])).
% 0.20/0.53 fof(f284,plain,(
% 0.20/0.53 ![X0]: (~ssList(X0)|app(nil,X0)=X0)),
% 0.20/0.53 inference(cnf_transformation,[status(esa)],[f74])).
% 0.20/0.53 fof(f290,plain,(
% 0.20/0.53 ![X0]: (~segmentP(nil,X0)|~ssList(X0)|nil=X0)),
% 0.20/0.53 inference(cnf_transformation,[status(esa)],[f80])).
% 0.20/0.53 fof(f310,plain,(
% 0.20/0.53 ![V]: ((![U]: (~cons(U,V)=V|~ssItem(U)))|~ssList(V))),
% 0.20/0.53 inference(miniscoping,[status(esa)],[f99])).
% 0.20/0.53 fof(f311,plain,(
% 0.20/0.53 ![X0,X1]: (~cons(X0,X1)=X1|~ssItem(X0)|~ssList(X1))),
% 0.20/0.53 inference(cnf_transformation,[status(esa)],[f310])).
% 0.20/0.53 fof(f312,plain,(
% 0.20/0.53 ![X0,X1]: (~ssList(X0)|~ssList(X1)|neq(X1,X0)|X1=X0)),
% 0.20/0.53 inference(cnf_transformation,[status(esa)],[f100])).
% 0.20/0.53 fof(f330,plain,(
% 0.20/0.53 ![U]: ((![V]: ((~U=V|~neq(U,V))|~ssList(V)))|~ssList(U))),
% 0.20/0.53 inference(miniscoping,[status(esa)],[f115])).
% 0.20/0.53 fof(f331,plain,(
% 0.20/0.53 ![X0,X1]: (~X0=X1|~neq(X0,X1)|~ssList(X1)|~ssList(X0))),
% 0.20/0.53 inference(cnf_transformation,[status(esa)],[f330])).
% 0.20/0.53 fof(f349,plain,(
% 0.20/0.53 ![X0,X1]: (~segmentP(X0,X1)|~segmentP(X1,X0)|~ssList(X0)|~ssList(X1)|X1=X0)),
% 0.20/0.53 inference(cnf_transformation,[status(esa)],[f127])).
% 0.20/0.53 fof(f379,plain,(
% 0.20/0.53 ![V,W]: (((![U]: ((~app(U,V)=app(U,W)|~ssList(V))|~ssList(U)))|~ssList(W))|V=W)),
% 0.20/0.53 inference(miniscoping,[status(esa)],[f150])).
% 0.20/0.53 fof(f380,plain,(
% 0.20/0.53 ![X0,X1,X2]: (~app(X0,X1)=app(X0,X2)|~ssList(X1)|~ssList(X0)|~ssList(X2)|X1=X2)),
% 0.20/0.53 inference(cnf_transformation,[status(esa)],[f379])).
% 0.20/0.53 fof(f381,plain,(
% 0.20/0.53 ![U,W]: (((![V]: ((~app(U,V)=app(W,V)|~ssList(U))|~ssList(V)))|~ssList(W))|U=W)),
% 0.20/0.53 inference(miniscoping,[status(esa)],[f151])).
% 0.20/0.53 fof(f382,plain,(
% 0.20/0.53 ![X0,X1,X2]: (~app(X0,X1)=app(X2,X1)|~ssList(X0)|~ssList(X1)|~ssList(X2)|X0=X2)),
% 0.20/0.53 inference(cnf_transformation,[status(esa)],[f381])).
% 0.20/0.53 fof(f383,plain,(
% 0.20/0.53 ![U,W]: (((![V]: (((~segmentP(U,V)|~segmentP(V,W))|~ssList(W))|~ssList(V)))|~ssList(U))|segmentP(U,W))),
% 0.20/0.53 inference(miniscoping,[status(esa)],[f152])).
% 0.20/0.53 fof(f384,plain,(
% 0.20/0.53 ![X0,X1,X2]: (~segmentP(X0,X1)|~segmentP(X1,X2)|~ssList(X2)|~ssList(X1)|~ssList(X0)|segmentP(X0,X2))),
% 0.20/0.53 inference(cnf_transformation,[status(esa)],[f383])).
% 0.20/0.53 fof(f415,plain,(
% 0.20/0.53 ![V,X]: ((((![U]: ((![W]: (~app(app(U,V),W)=X|~ssList(W)))|~ssList(U)))|~ssList(V))|~ssList(X))|segmentP(X,V))),
% 0.20/0.53 inference(miniscoping,[status(esa)],[f173])).
% 0.20/0.53 fof(f416,plain,(
% 0.20/0.53 ![X0,X1,X2,X3]: (~app(app(X0,X1),X2)=X3|~ssList(X2)|~ssList(X0)|~ssList(X1)|~ssList(X3)|segmentP(X3,X1))),
% 0.20/0.53 inference(cnf_transformation,[status(esa)],[f415])).
% 0.20/0.53 fof(f440,plain,(
% 0.20/0.53 ssList(sk1)),
% 0.20/0.53 inference(cnf_transformation,[status(esa)],[f186])).
% 0.20/0.53 fof(f441,plain,(
% 0.20/0.53 ssList(sk2)),
% 0.20/0.53 inference(cnf_transformation,[status(esa)],[f187])).
% 0.20/0.53 fof(f444,plain,(
% 0.20/0.53 sk2=sk4),
% 0.20/0.53 inference(cnf_transformation,[status(esa)],[f190])).
% 0.20/0.53 fof(f445,plain,(
% 0.20/0.53 sk1=sk3),
% 0.20/0.53 inference(cnf_transformation,[status(esa)],[f191])).
% 0.20/0.53 fof(f446,plain,(
% 0.20/0.53 ssItem(sk5)|nil=sk4),
% 0.20/0.53 inference(cnf_transformation,[status(esa)],[f192])).
% 0.20/0.53 fof(f450,plain,(
% 0.20/0.53 cons(sk5,nil)=sk3|nil=sk4),
% 0.20/0.53 inference(cnf_transformation,[status(esa)],[f196])).
% 0.20/0.53 fof(f456,plain,(
% 0.20/0.53 ssList(sk6)|nil=sk3),
% 0.20/0.53 inference(cnf_transformation,[status(esa)],[f200])).
% 0.20/0.53 fof(f457,plain,(
% 0.20/0.53 ssList(sk7)|nil=sk3),
% 0.20/0.53 inference(cnf_transformation,[status(esa)],[f201])).
% 0.20/0.53 fof(f459,plain,(
% 0.20/0.53 app(app(sk6,sk3),sk7)=sk4|nil=sk3),
% 0.20/0.53 inference(cnf_transformation,[status(esa)],[f203])).
% 0.20/0.53 fof(f465,plain,(
% 0.20/0.53 nil=sk2|~neq(sk1,nil)|~segmentP(sk2,sk1)),
% 0.20/0.53 inference(cnf_transformation,[status(esa)],[f207])).
% 0.20/0.53 fof(f466,plain,(
% 0.20/0.53 ~nil=sk1|neq(sk2,nil)),
% 0.20/0.53 inference(cnf_transformation,[status(esa)],[f208])).
% 0.20/0.53 fof(f475,plain,(
% 0.20/0.53 spl0_2 <=> ssItem(sk5)),
% 0.20/0.53 introduced(split_symbol_definition)).
% 0.20/0.53 fof(f478,plain,(
% 0.20/0.53 spl0_3 <=> nil=sk4),
% 0.20/0.53 introduced(split_symbol_definition)).
% 0.20/0.53 fof(f479,plain,(
% 0.20/0.53 nil=sk4|~spl0_3),
% 0.20/0.53 inference(component_clause,[status(thm)],[f478])).
% 0.20/0.53 fof(f481,plain,(
% 0.20/0.53 spl0_2|spl0_3),
% 0.20/0.53 inference(split_clause,[status(thm)],[f446,f475,f478])).
% 0.20/0.53 fof(f482,plain,(
% 0.20/0.53 spl0_4 <=> nil=sk3),
% 0.20/0.53 introduced(split_symbol_definition)).
% 0.20/0.53 fof(f483,plain,(
% 0.20/0.53 nil=sk3|~spl0_4),
% 0.20/0.53 inference(component_clause,[status(thm)],[f482])).
% 0.20/0.53 fof(f486,plain,(
% 0.20/0.53 spl0_5 <=> ssList(sk6)),
% 0.20/0.53 introduced(split_symbol_definition)).
% 0.20/0.53 fof(f490,plain,(
% 0.20/0.53 spl0_6 <=> ssList(sk7)),
% 0.20/0.53 introduced(split_symbol_definition)).
% 0.20/0.53 fof(f494,plain,(
% 0.20/0.53 spl0_7 <=> cons(sk5,nil)=sk3),
% 0.20/0.53 introduced(split_symbol_definition)).
% 0.20/0.53 fof(f495,plain,(
% 0.20/0.53 cons(sk5,nil)=sk3|~spl0_7),
% 0.20/0.53 inference(component_clause,[status(thm)],[f494])).
% 0.20/0.53 fof(f497,plain,(
% 0.20/0.53 spl0_7|spl0_3),
% 0.20/0.53 inference(split_clause,[status(thm)],[f450,f494,f478])).
% 0.20/0.53 fof(f498,plain,(
% 0.20/0.53 spl0_8 <=> app(app(sk6,sk3),sk7)=sk4),
% 0.20/0.53 introduced(split_symbol_definition)).
% 0.20/0.53 fof(f499,plain,(
% 0.20/0.53 app(app(sk6,sk3),sk7)=sk4|~spl0_8),
% 0.20/0.53 inference(component_clause,[status(thm)],[f498])).
% 0.20/0.53 fof(f510,plain,(
% 0.20/0.53 spl0_5|spl0_4),
% 0.20/0.53 inference(split_clause,[status(thm)],[f456,f486,f482])).
% 0.20/0.53 fof(f511,plain,(
% 0.20/0.53 spl0_6|spl0_4),
% 0.20/0.53 inference(split_clause,[status(thm)],[f457,f490,f482])).
% 0.20/0.53 fof(f513,plain,(
% 0.20/0.53 spl0_8|spl0_4),
% 0.20/0.53 inference(split_clause,[status(thm)],[f459,f498,f482])).
% 0.20/0.53 fof(f516,plain,(
% 0.20/0.53 spl0_11 <=> nil=sk2),
% 0.20/0.53 introduced(split_symbol_definition)).
% 0.20/0.53 fof(f517,plain,(
% 0.20/0.53 nil=sk2|~spl0_11),
% 0.20/0.53 inference(component_clause,[status(thm)],[f516])).
% 0.20/0.53 fof(f519,plain,(
% 0.20/0.53 spl0_12 <=> neq(sk2,nil)),
% 0.20/0.53 introduced(split_symbol_definition)).
% 0.20/0.53 fof(f520,plain,(
% 0.20/0.53 neq(sk2,nil)|~spl0_12),
% 0.20/0.53 inference(component_clause,[status(thm)],[f519])).
% 0.20/0.53 fof(f523,plain,(
% 0.20/0.53 spl0_13 <=> neq(sk1,nil)),
% 0.20/0.53 introduced(split_symbol_definition)).
% 0.20/0.53 fof(f525,plain,(
% 0.20/0.53 ~neq(sk1,nil)|spl0_13),
% 0.20/0.53 inference(component_clause,[status(thm)],[f523])).
% 0.20/0.53 fof(f526,plain,(
% 0.20/0.53 spl0_14 <=> segmentP(sk2,sk1)),
% 0.20/0.53 introduced(split_symbol_definition)).
% 0.20/0.53 fof(f527,plain,(
% 0.20/0.53 segmentP(sk2,sk1)|~spl0_14),
% 0.20/0.53 inference(component_clause,[status(thm)],[f526])).
% 0.20/0.53 fof(f529,plain,(
% 0.20/0.53 spl0_11|~spl0_13|~spl0_14),
% 0.20/0.53 inference(split_clause,[status(thm)],[f465,f516,f523,f526])).
% 0.20/0.53 fof(f530,plain,(
% 0.20/0.53 spl0_15 <=> nil=sk1),
% 0.20/0.53 introduced(split_symbol_definition)).
% 0.20/0.53 fof(f532,plain,(
% 0.20/0.53 ~nil=sk1|spl0_15),
% 0.20/0.53 inference(component_clause,[status(thm)],[f530])).
% 0.20/0.53 fof(f533,plain,(
% 0.20/0.53 ~spl0_15|spl0_12),
% 0.20/0.53 inference(split_clause,[status(thm)],[f466,f530,f519])).
% 0.20/0.53 fof(f542,plain,(
% 0.20/0.53 ![X1]: (~neq(X1,X1)|~ssList(X1)|~ssList(X1))),
% 0.20/0.53 inference(destructive_equality_resolution,[status(esa)],[f331])).
% 0.20/0.53 fof(f543,plain,(
% 0.20/0.53 ![X0]: (~neq(X0,X0)|~ssList(X0))),
% 0.20/0.53 inference(duplicate_literals_removal,[status(esa)],[f542])).
% 0.20/0.53 fof(f553,plain,(
% 0.20/0.53 ![X0,X1,X2]: (~ssList(X0)|~ssList(X1)|~ssList(X2)|~ssList(app(app(X1,X2),X0))|segmentP(app(app(X1,X2),X0),X2))),
% 0.20/0.53 inference(destructive_equality_resolution,[status(esa)],[f416])).
% 0.20/0.53 fof(f566,plain,(
% 0.20/0.53 spl0_16 <=> ssList(nil)),
% 0.20/0.53 introduced(split_symbol_definition)).
% 0.20/0.53 fof(f568,plain,(
% 0.20/0.53 ~ssList(nil)|spl0_16),
% 0.20/0.53 inference(component_clause,[status(thm)],[f566])).
% 0.20/0.53 fof(f569,plain,(
% 0.20/0.53 spl0_17 <=> nil=nil),
% 0.20/0.53 introduced(split_symbol_definition)).
% 0.20/0.53 fof(f572,plain,(
% 0.20/0.53 ~ssList(nil)|nil=nil|~ssList(nil)),
% 0.20/0.53 inference(resolution,[status(thm)],[f290,f265])).
% 0.20/0.53 fof(f573,plain,(
% 0.20/0.53 ~spl0_16|spl0_17),
% 0.20/0.53 inference(split_clause,[status(thm)],[f572,f566,f569])).
% 0.20/0.53 fof(f576,plain,(
% 0.20/0.53 $false|spl0_16),
% 0.20/0.53 inference(forward_subsumption_resolution,[status(thm)],[f568,f217])).
% 0.20/0.53 fof(f577,plain,(
% 0.20/0.53 spl0_16),
% 0.20/0.53 inference(contradiction_clause,[status(thm)],[f576])).
% 0.20/0.53 fof(f578,plain,(
% 0.20/0.53 nil=sk1|~spl0_4),
% 0.20/0.53 inference(forward_demodulation,[status(thm)],[f445,f483])).
% 0.20/0.53 fof(f579,plain,(
% 0.20/0.53 $false|spl0_15|~spl0_4),
% 0.20/0.53 inference(forward_subsumption_resolution,[status(thm)],[f578,f532])).
% 0.20/0.53 fof(f580,plain,(
% 0.20/0.53 spl0_15|~spl0_4),
% 0.20/0.53 inference(contradiction_clause,[status(thm)],[f579])).
% 0.20/0.53 fof(f581,plain,(
% 0.20/0.53 nil=sk2|~spl0_3),
% 0.20/0.53 inference(forward_demodulation,[status(thm)],[f444,f479])).
% 0.20/0.53 fof(f587,plain,(
% 0.20/0.53 neq(nil,nil)|~spl0_3|~spl0_12),
% 0.20/0.53 inference(forward_demodulation,[status(thm)],[f581,f520])).
% 0.20/0.53 fof(f601,plain,(
% 0.20/0.53 cons(sk5,nil)=sk1|~spl0_7),
% 0.20/0.53 inference(backward_demodulation,[status(thm)],[f445,f495])).
% 0.20/0.53 fof(f614,plain,(
% 0.20/0.53 app(app(sk6,sk1),sk7)=sk4|~spl0_8),
% 0.20/0.53 inference(forward_demodulation,[status(thm)],[f445,f499])).
% 0.20/0.53 fof(f615,plain,(
% 0.20/0.53 ~sk1=nil|~ssItem(sk5)|~ssList(nil)|~spl0_7),
% 0.20/0.53 inference(paramodulation,[status(thm)],[f601,f311])).
% 0.20/0.53 fof(f616,plain,(
% 0.20/0.53 ~spl0_15|~spl0_2|~spl0_16|~spl0_7),
% 0.20/0.53 inference(split_clause,[status(thm)],[f615,f530,f475,f566,f494])).
% 0.20/0.53 fof(f617,plain,(
% 0.20/0.53 spl0_20 <=> ssList(sk1)),
% 0.20/0.53 introduced(split_symbol_definition)).
% 0.20/0.53 fof(f619,plain,(
% 0.20/0.53 ~ssList(sk1)|spl0_20),
% 0.20/0.53 inference(component_clause,[status(thm)],[f617])).
% 0.20/0.53 fof(f637,plain,(
% 0.20/0.53 spl0_22 <=> ~segmentP(nil,X0)|~ssList(X0)|X0=nil|~ssList(X0)),
% 0.20/0.53 introduced(split_symbol_definition)).
% 0.20/0.53 fof(f640,plain,(
% 0.20/0.53 ![X0]: (~segmentP(nil,X0)|~ssList(nil)|~ssList(X0)|X0=nil|~ssList(X0))),
% 0.20/0.53 inference(resolution,[status(thm)],[f349,f265])).
% 0.20/0.53 fof(f641,plain,(
% 0.20/0.53 spl0_22|~spl0_16),
% 0.20/0.53 inference(split_clause,[status(thm)],[f640,f637,f566])).
% 0.20/0.53 fof(f648,plain,(
% 0.20/0.53 spl0_24 <=> ~ssList(app(nil,X0))|~ssList(X0)|app(nil,X0)=X0|~ssList(app(nil,X0))),
% 0.20/0.53 introduced(split_symbol_definition)).
% 0.20/0.53 fof(f651,plain,(
% 0.20/0.53 ![X0]: (~ssList(app(nil,X0))|~ssList(nil)|~ssList(X0)|app(nil,X0)=X0|~ssList(app(nil,X0)))),
% 0.20/0.53 inference(resolution,[status(thm)],[f380,f284])).
% 0.20/0.53 fof(f652,plain,(
% 0.20/0.53 spl0_24|~spl0_16),
% 0.20/0.53 inference(split_clause,[status(thm)],[f651,f648,f566])).
% 0.20/0.53 fof(f655,plain,(
% 0.20/0.53 spl0_25 <=> ~ssList(X0)|~ssList(X0)|X0=X0),
% 0.20/0.53 introduced(split_symbol_definition)).
% 0.20/0.53 fof(f658,plain,(
% 0.20/0.53 spl0_26 <=> ~ssList(X1)),
% 0.20/0.53 introduced(split_symbol_definition)).
% 0.20/0.53 fof(f659,plain,(
% 0.20/0.53 ![X0]: (~ssList(X0)|~spl0_26)),
% 0.20/0.53 inference(component_clause,[status(thm)],[f658])).
% 0.20/0.53 fof(f661,plain,(
% 0.20/0.53 ![X0,X1]: (~ssList(X0)|~ssList(X1)|~ssList(X0)|X0=X0)),
% 0.20/0.53 inference(equality_resolution,[status(esa)],[f380])).
% 0.20/0.53 fof(f662,plain,(
% 0.20/0.53 spl0_25|spl0_26),
% 0.20/0.53 inference(split_clause,[status(thm)],[f661,f655,f658])).
% 0.20/0.53 fof(f664,plain,(
% 0.20/0.53 spl0_27 <=> ~ssList(app(X0,nil))|~ssList(X0)|app(X0,nil)=X0|~ssList(app(X0,nil))),
% 0.20/0.53 introduced(split_symbol_definition)).
% 0.20/0.53 fof(f667,plain,(
% 0.20/0.53 ![X0]: (~ssList(app(X0,nil))|~ssList(nil)|~ssList(X0)|app(X0,nil)=X0|~ssList(app(X0,nil)))),
% 0.20/0.53 inference(resolution,[status(thm)],[f382,f283])).
% 0.20/0.53 fof(f668,plain,(
% 0.20/0.53 spl0_27|~spl0_16),
% 0.20/0.53 inference(split_clause,[status(thm)],[f667,f664,f566])).
% 0.20/0.53 fof(f681,plain,(
% 0.20/0.53 app(app(sk6,sk1),sk7)=sk2|~spl0_8),
% 0.20/0.53 inference(forward_demodulation,[status(thm)],[f444,f614])).
% 0.20/0.53 fof(f724,plain,(
% 0.20/0.53 ~ssList(nil)|~ssList(sk1)|sk1=nil|spl0_13),
% 0.20/0.53 inference(resolution,[status(thm)],[f525,f312])).
% 0.20/0.53 fof(f725,plain,(
% 0.20/0.53 ~spl0_16|~spl0_20|spl0_15|spl0_13),
% 0.20/0.53 inference(split_clause,[status(thm)],[f724,f566,f617,f530,f523])).
% 0.20/0.53 fof(f733,plain,(
% 0.20/0.53 $false|spl0_20),
% 0.20/0.53 inference(forward_subsumption_resolution,[status(thm)],[f619,f440])).
% 0.20/0.53 fof(f734,plain,(
% 0.20/0.53 spl0_20),
% 0.20/0.53 inference(contradiction_clause,[status(thm)],[f733])).
% 0.20/0.53 fof(f738,plain,(
% 0.20/0.53 $false|~spl0_26),
% 0.20/0.53 inference(backward_subsumption_resolution,[status(thm)],[f243,f659])).
% 0.20/0.53 fof(f739,plain,(
% 0.20/0.53 ~spl0_26),
% 0.20/0.53 inference(contradiction_clause,[status(thm)],[f738])).
% 0.20/0.53 fof(f768,plain,(
% 0.20/0.53 ~ssList(nil)|~spl0_3|~spl0_12),
% 0.20/0.53 inference(resolution,[status(thm)],[f543,f587])).
% 0.20/0.53 fof(f769,plain,(
% 0.20/0.53 ~spl0_16|~spl0_3|~spl0_12),
% 0.20/0.53 inference(split_clause,[status(thm)],[f768,f566,f478,f519])).
% 0.20/0.53 fof(f827,plain,(
% 0.20/0.53 spl0_42 <=> ~segmentP(X0,X1)|~ssList(X1)|~ssList(X0)|segmentP(X0,nil)|~ssList(X1)),
% 0.20/0.53 introduced(split_symbol_definition)).
% 0.20/0.53 fof(f830,plain,(
% 0.20/0.53 ![X0,X1]: (~segmentP(X0,X1)|~ssList(nil)|~ssList(X1)|~ssList(X0)|segmentP(X0,nil)|~ssList(X1))),
% 0.20/0.53 inference(resolution,[status(thm)],[f384,f265])).
% 0.20/0.53 fof(f831,plain,(
% 0.20/0.53 spl0_42|~spl0_16),
% 0.20/0.53 inference(split_clause,[status(thm)],[f830,f827,f566])).
% 0.20/0.53 fof(f832,plain,(
% 0.20/0.53 ![X0,X1,X2,X3]: (~segmentP(X0,X1)|~ssList(X2)|~ssList(X1)|~ssList(X0)|segmentP(X0,X2)|~segmentP(X1,X3)|~segmentP(X3,X2)|~ssList(X2)|~ssList(X3)|~ssList(X1))),
% 0.20/0.53 inference(resolution,[status(thm)],[f384,f384])).
% 0.20/0.53 fof(f833,plain,(
% 0.20/0.53 ![X0,X1,X2,X3]: (~segmentP(X0,X1)|~ssList(X2)|~ssList(X1)|~ssList(X0)|segmentP(X0,X2)|~segmentP(X1,X3)|~segmentP(X3,X2)|~ssList(X3))),
% 0.20/0.53 inference(duplicate_literals_removal,[status(esa)],[f832])).
% 0.20/0.53 fof(f834,plain,(
% 0.20/0.53 spl0_43 <=> ~segmentP(nil,X0)|~segmentP(X0,X1)|~ssList(X1)|~ssList(X0)|~ssList(X1)|nil=X1),
% 0.20/0.53 introduced(split_symbol_definition)).
% 0.20/0.53 fof(f835,plain,(
% 0.20/0.53 ![X0,X1]: (~segmentP(nil,X0)|~segmentP(X0,X1)|~ssList(X1)|~ssList(X0)|~ssList(X1)|nil=X1|~spl0_43)),
% 0.20/0.53 inference(component_clause,[status(thm)],[f834])).
% 0.20/0.53 fof(f837,plain,(
% 0.20/0.53 ![X0,X1]: (~segmentP(nil,X0)|~segmentP(X0,X1)|~ssList(X1)|~ssList(X0)|~ssList(nil)|~ssList(X1)|nil=X1)),
% 0.20/0.53 inference(resolution,[status(thm)],[f384,f290])).
% 0.20/0.53 fof(f838,plain,(
% 0.20/0.53 spl0_43|~spl0_16),
% 0.20/0.53 inference(split_clause,[status(thm)],[f837,f834,f566])).
% 0.20/0.53 fof(f847,plain,(
% 0.20/0.53 ![X0,X1]: (~segmentP(nil,X0)|~segmentP(X0,X1)|~ssList(X1)|~ssList(X0)|nil=X1|~spl0_43)),
% 0.20/0.53 inference(duplicate_literals_removal,[status(esa)],[f835])).
% 0.20/0.53 fof(f869,plain,(
% 0.20/0.53 ![X0,X1,X2]: (~segmentP(X0,X1)|~ssList(X0)|~ssList(X1)|X1=X0|~segmentP(X1,X2)|~segmentP(X2,X0)|~ssList(X0)|~ssList(X2)|~ssList(X1))),
% 0.20/0.53 inference(resolution,[status(thm)],[f349,f384])).
% 0.20/0.53 fof(f870,plain,(
% 0.20/0.53 ![X0,X1,X2]: (~segmentP(X0,X1)|~ssList(X0)|~ssList(X1)|X1=X0|~segmentP(X1,X2)|~segmentP(X2,X0)|~ssList(X2))),
% 0.20/0.53 inference(duplicate_literals_removal,[status(esa)],[f869])).
% 0.20/0.53 fof(f1124,plain,(
% 0.20/0.53 spl0_73 <=> ~segmentP(nil,X0)|~ssList(X0)|nil=X0),
% 0.20/0.53 introduced(split_symbol_definition)).
% 0.20/0.53 fof(f1127,plain,(
% 0.20/0.53 ![X0]: (~segmentP(nil,X0)|~ssList(X0)|~ssList(nil)|nil=X0|~ssList(nil)|~spl0_43)),
% 0.20/0.53 inference(resolution,[status(thm)],[f847,f265])).
% 0.20/0.53 fof(f1128,plain,(
% 0.20/0.53 spl0_73|~spl0_16|~spl0_43),
% 0.20/0.53 inference(split_clause,[status(thm)],[f1127,f1124,f566,f834])).
% 0.20/0.53 fof(f1129,plain,(
% 0.20/0.53 spl0_74 <=> ~segmentP(X0,X1)|~ssList(X1)|~ssList(X0)|nil=X1|~segmentP(nil,X2)|~segmentP(X2,X0)|~ssList(X0)|~ssList(X2)),
% 0.20/0.53 introduced(split_symbol_definition)).
% 0.20/0.53 fof(f1132,plain,(
% 0.20/0.53 ![X0,X1,X2]: (~segmentP(X0,X1)|~ssList(X1)|~ssList(X0)|nil=X1|~segmentP(nil,X2)|~segmentP(X2,X0)|~ssList(X0)|~ssList(X2)|~ssList(nil)|~spl0_43)),
% 0.20/0.53 inference(resolution,[status(thm)],[f847,f384])).
% 0.20/0.53 fof(f1133,plain,(
% 0.20/0.53 spl0_74|~spl0_16|~spl0_43),
% 0.20/0.53 inference(split_clause,[status(thm)],[f1132,f1129,f566,f834])).
% 0.20/0.53 fof(f1168,plain,(
% 0.20/0.53 spl0_78 <=> ~segmentP(X0,X1)|~ssList(X0)|~ssList(X1)|X1=X0|~segmentP(nil,X0)|~ssList(X1)),
% 0.20/0.53 introduced(split_symbol_definition)).
% 0.20/0.53 fof(f1171,plain,(
% 0.20/0.53 ![X0,X1]: (~segmentP(X0,X1)|~ssList(X0)|~ssList(X1)|X1=X0|~segmentP(nil,X0)|~ssList(nil)|~ssList(X1))),
% 0.20/0.53 inference(resolution,[status(thm)],[f870,f265])).
% 0.20/0.53 fof(f1172,plain,(
% 0.20/0.53 spl0_78|~spl0_16),
% 0.20/0.53 inference(split_clause,[status(thm)],[f1171,f1168,f566])).
% 0.20/0.53 fof(f1173,plain,(
% 0.20/0.53 ![X0,X1,X2,X3]: (~segmentP(X0,X1)|~ssList(X0)|~ssList(X1)|X1=X0|~segmentP(X2,X0)|~ssList(X2)|~segmentP(X1,X3)|~segmentP(X3,X2)|~ssList(X2)|~ssList(X3)|~ssList(X1))),
% 0.20/0.53 inference(resolution,[status(thm)],[f870,f384])).
% 0.20/0.53 fof(f1174,plain,(
% 0.20/0.53 ![X0,X1,X2,X3]: (~segmentP(X0,X1)|~ssList(X0)|~ssList(X1)|X1=X0|~segmentP(X2,X0)|~ssList(X2)|~segmentP(X1,X3)|~segmentP(X3,X2)|~ssList(X3))),
% 0.20/0.53 inference(duplicate_literals_removal,[status(esa)],[f1173])).
% 0.20/0.53 fof(f1177,plain,(
% 0.20/0.53 spl0_79 <=> ~segmentP(nil,X0)|~ssList(X0)|X0=nil|~segmentP(X0,X1)|~ssList(X1)|~ssList(X1)),
% 0.20/0.53 introduced(split_symbol_definition)).
% 0.20/0.53 fof(f1180,plain,(
% 0.20/0.53 ![X0,X1]: (~segmentP(nil,X0)|~ssList(nil)|~ssList(X0)|X0=nil|~segmentP(X0,X1)|~ssList(X1)|~ssList(X1))),
% 0.20/0.53 inference(resolution,[status(thm)],[f870,f265])).
% 0.20/0.53 fof(f1181,plain,(
% 0.20/0.53 spl0_79|~spl0_16),
% 0.20/0.53 inference(split_clause,[status(thm)],[f1180,f1177,f566])).
% 0.20/0.53 fof(f1221,plain,(
% 0.20/0.53 spl0_83 <=> ssList(app(app(sk6,sk1),sk7))),
% 0.20/0.53 introduced(split_symbol_definition)).
% 0.20/0.53 fof(f1223,plain,(
% 0.20/0.53 ~ssList(app(app(sk6,sk1),sk7))|spl0_83),
% 0.20/0.53 inference(component_clause,[status(thm)],[f1221])).
% 0.20/0.53 fof(f1224,plain,(
% 0.20/0.53 ~ssList(sk7)|~ssList(sk6)|~ssList(sk1)|~ssList(app(app(sk6,sk1),sk7))|segmentP(sk2,sk1)|~spl0_8),
% 0.20/0.53 inference(paramodulation,[status(thm)],[f681,f553])).
% 0.20/0.53 fof(f1225,plain,(
% 0.20/0.53 ~spl0_6|~spl0_5|~spl0_20|~spl0_83|spl0_14|~spl0_8),
% 0.20/0.53 inference(split_clause,[status(thm)],[f1224,f490,f486,f617,f1221,f526,f498])).
% 0.20/0.53 fof(f1236,plain,(
% 0.20/0.53 ~ssList(sk2)|~spl0_8|spl0_83),
% 0.20/0.53 inference(forward_demodulation,[status(thm)],[f681,f1223])).
% 0.20/0.53 fof(f1237,plain,(
% 0.20/0.53 $false|~spl0_8|spl0_83),
% 0.20/0.53 inference(forward_subsumption_resolution,[status(thm)],[f1236,f441])).
% 0.20/0.53 fof(f1238,plain,(
% 0.20/0.53 ~spl0_8|spl0_83),
% 0.20/0.53 inference(contradiction_clause,[status(thm)],[f1237])).
% 0.20/0.53 fof(f1259,plain,(
% 0.20/0.53 spl0_88 <=> ~segmentP(nil,X0)|~ssList(X1)|~ssList(X0)|~segmentP(X0,X2)|~segmentP(X2,X1)|~ssList(X2)|~segmentP(X1,X3)|~ssList(X3)|~ssList(X1)|nil=X3),
% 0.20/0.53 introduced(split_symbol_definition)).
% 0.20/0.53 fof(f1262,plain,(
% 0.20/0.53 ![X0,X1,X2,X3]: (~segmentP(nil,X0)|~ssList(X1)|~ssList(X0)|~ssList(nil)|~segmentP(X0,X2)|~segmentP(X2,X1)|~ssList(X2)|~segmentP(X1,X3)|~ssList(X3)|~ssList(X1)|nil=X3|~spl0_43)),
% 0.20/0.53 inference(resolution,[status(thm)],[f833,f847])).
% 0.20/0.53 fof(f1263,plain,(
% 0.20/0.53 spl0_88|~spl0_16|~spl0_43),
% 0.20/0.53 inference(split_clause,[status(thm)],[f1262,f1259,f566,f834])).
% 0.20/0.53 fof(f1269,plain,(
% 0.20/0.53 spl0_90 <=> ~segmentP(nil,X0)|~ssList(X1)|~ssList(X0)|~segmentP(X0,X2)|~segmentP(X2,X1)|~ssList(X2)|~ssList(X1)|nil=X1),
% 0.20/0.53 introduced(split_symbol_definition)).
% 0.20/0.53 fof(f1272,plain,(
% 0.20/0.53 ![X0,X1,X2]: (~segmentP(nil,X0)|~ssList(X1)|~ssList(X0)|~ssList(nil)|~segmentP(X0,X2)|~segmentP(X2,X1)|~ssList(X2)|~ssList(X1)|nil=X1)),
% 0.20/0.53 inference(resolution,[status(thm)],[f833,f290])).
% 0.20/0.53 fof(f1273,plain,(
% 0.20/0.53 spl0_90|~spl0_16),
% 0.20/0.53 inference(split_clause,[status(thm)],[f1272,f1269,f566])).
% 0.20/0.53 fof(f1290,plain,(
% 0.20/0.53 spl0_91 <=> ~segmentP(X0,nil)|~ssList(X0)|segmentP(X0,nil)),
% 0.20/0.53 introduced(split_symbol_definition)).
% 0.20/0.53 fof(f1293,plain,(
% 0.20/0.53 ![X0]: (~segmentP(X0,nil)|~ssList(nil)|~ssList(nil)|~ssList(X0)|segmentP(X0,nil)|~ssList(nil)|~ssList(nil))),
% 0.20/0.53 inference(resolution,[status(thm)],[f833,f265])).
% 0.20/0.53 fof(f1294,plain,(
% 0.20/0.53 spl0_91|~spl0_16),
% 0.20/0.53 inference(split_clause,[status(thm)],[f1293,f1290,f566])).
% 0.20/0.53 fof(f1295,plain,(
% 0.20/0.53 spl0_92 <=> ~segmentP(X0,X1)|~ssList(X2)|~ssList(X1)|~ssList(X0)|segmentP(X0,X2)|~segmentP(nil,X2)|~ssList(X1)),
% 0.20/0.53 introduced(split_symbol_definition)).
% 0.20/0.53 fof(f1298,plain,(
% 0.20/0.53 ![X0,X1,X2]: (~segmentP(X0,X1)|~ssList(X2)|~ssList(X1)|~ssList(X0)|segmentP(X0,X2)|~segmentP(nil,X2)|~ssList(nil)|~ssList(X1))),
% 0.20/0.53 inference(resolution,[status(thm)],[f833,f265])).
% 0.20/0.53 fof(f1299,plain,(
% 0.20/0.53 spl0_92|~spl0_16),
% 0.20/0.53 inference(split_clause,[status(thm)],[f1298,f1295,f566])).
% 0.20/0.53 fof(f1310,plain,(
% 0.20/0.53 spl0_93 <=> ~segmentP(X0,X1)|~ssList(X1)|~ssList(X0)|segmentP(X0,nil)|~segmentP(X1,X2)|~ssList(X2)|~ssList(X2)),
% 0.20/0.53 introduced(split_symbol_definition)).
% 0.20/0.53 fof(f1313,plain,(
% 0.20/0.53 ![X0,X1,X2]: (~segmentP(X0,X1)|~ssList(nil)|~ssList(X1)|~ssList(X0)|segmentP(X0,nil)|~segmentP(X1,X2)|~ssList(X2)|~ssList(X2))),
% 0.20/0.53 inference(resolution,[status(thm)],[f833,f265])).
% 0.20/0.53 fof(f1314,plain,(
% 0.20/0.53 spl0_93|~spl0_16),
% 0.20/0.53 inference(split_clause,[status(thm)],[f1313,f1310,f566])).
% 0.20/0.53 fof(f1380,plain,(
% 0.20/0.53 spl0_94 <=> ~segmentP(nil,X0)|~ssList(X0)|X0=nil|~ssList(X1)|~segmentP(X0,X2)|~segmentP(X2,X1)|~ssList(X2)|~ssList(X1)),
% 0.20/0.53 introduced(split_symbol_definition)).
% 0.20/0.53 fof(f1383,plain,(
% 0.20/0.53 ![X0,X1,X2]: (~segmentP(nil,X0)|~ssList(nil)|~ssList(X0)|X0=nil|~ssList(X1)|~segmentP(X0,X2)|~segmentP(X2,X1)|~ssList(X2)|~ssList(X1))),
% 0.20/0.53 inference(resolution,[status(thm)],[f1174,f265])).
% 0.20/0.53 fof(f1384,plain,(
% 0.20/0.53 spl0_94|~spl0_16),
% 0.20/0.53 inference(split_clause,[status(thm)],[f1383,f1380,f566])).
% 0.20/0.53 fof(f1397,plain,(
% 0.20/0.53 spl0_95 <=> ~segmentP(X0,nil)|~ssList(X0)|nil=X0|~segmentP(nil,X0)),
% 0.20/0.53 introduced(split_symbol_definition)).
% 0.20/0.53 fof(f1400,plain,(
% 0.20/0.53 ![X0]: (~segmentP(X0,nil)|~ssList(X0)|~ssList(nil)|nil=X0|~segmentP(nil,X0)|~ssList(nil)|~ssList(nil)|~ssList(nil))),
% 0.20/0.53 inference(resolution,[status(thm)],[f1174,f265])).
% 0.20/0.53 fof(f1401,plain,(
% 0.20/0.53 spl0_95|~spl0_16),
% 0.20/0.53 inference(split_clause,[status(thm)],[f1400,f1397,f566])).
% 0.20/0.53 fof(f1402,plain,(
% 0.20/0.53 spl0_96 <=> ~segmentP(X0,X1)|~ssList(X0)|~ssList(X1)|X1=X0|~segmentP(X2,X0)|~ssList(X2)|~segmentP(nil,X2)|~ssList(X1)),
% 0.20/0.53 introduced(split_symbol_definition)).
% 0.20/0.53 fof(f1405,plain,(
% 0.20/0.53 ![X0,X1,X2]: (~segmentP(X0,X1)|~ssList(X0)|~ssList(X1)|X1=X0|~segmentP(X2,X0)|~ssList(X2)|~segmentP(nil,X2)|~ssList(nil)|~ssList(X1))),
% 0.20/0.53 inference(resolution,[status(thm)],[f1174,f265])).
% 0.20/0.53 fof(f1406,plain,(
% 0.20/0.53 spl0_96|~spl0_16),
% 0.20/0.53 inference(split_clause,[status(thm)],[f1405,f1402,f566])).
% 0.20/0.53 fof(f1423,plain,(
% 0.20/0.53 spl0_97 <=> ~segmentP(X0,X1)|~ssList(X0)|~ssList(X1)|X1=X0|~segmentP(nil,X0)|~segmentP(X1,X2)|~ssList(X2)|~ssList(X2)),
% 0.20/0.53 introduced(split_symbol_definition)).
% 0.20/0.53 fof(f1426,plain,(
% 0.20/0.53 ![X0,X1,X2]: (~segmentP(X0,X1)|~ssList(X0)|~ssList(X1)|X1=X0|~segmentP(nil,X0)|~ssList(nil)|~segmentP(X1,X2)|~ssList(X2)|~ssList(X2))),
% 0.20/0.53 inference(resolution,[status(thm)],[f1174,f265])).
% 0.20/0.53 fof(f1427,plain,(
% 0.20/0.53 spl0_97|~spl0_16),
% 0.20/0.53 inference(split_clause,[status(thm)],[f1426,f1423,f566])).
% 0.20/0.53 fof(f1541,plain,(
% 0.20/0.53 segmentP(nil,sk1)|~spl0_11|~spl0_14),
% 0.20/0.53 inference(forward_demodulation,[status(thm)],[f517,f527])).
% 0.20/0.53 fof(f1597,plain,(
% 0.20/0.53 ~ssList(sk1)|nil=sk1|~spl0_11|~spl0_14),
% 0.20/0.53 inference(resolution,[status(thm)],[f1541,f290])).
% 0.20/0.53 fof(f1598,plain,(
% 0.20/0.53 ~spl0_20|spl0_15|~spl0_11|~spl0_14),
% 0.20/0.53 inference(split_clause,[status(thm)],[f1597,f617,f530,f516,f526])).
% 0.20/0.53 fof(f1648,plain,(
% 0.20/0.53 $false),
% 0.20/0.53 inference(sat_refutation,[status(thm)],[f481,f497,f510,f511,f513,f529,f533,f573,f577,f580,f616,f641,f652,f662,f668,f725,f734,f739,f769,f831,f838,f1128,f1133,f1172,f1181,f1225,f1238,f1263,f1273,f1294,f1299,f1314,f1384,f1401,f1406,f1427,f1598])).
% 0.20/0.53 % SZS output end CNFRefutation for theBenchmark.p
% 0.20/0.54 % Elapsed time: 0.192815 seconds
% 0.20/0.54 % CPU time: 1.382427 seconds
% 0.20/0.54 % Memory used: 75.769 MB
%------------------------------------------------------------------------------