TSTP Solution File: SWC310-1 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : SWC310-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n003.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Apr 30 20:45:17 EDT 2024
% Result : Unsatisfiable 0.15s 0.34s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.10 % Problem : SWC310-1 : TPTP v8.1.2. Released v2.4.0.
% 0.05/0.11 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.31 % Computer : n003.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Tue Apr 30 00:06:33 EDT 2024
% 0.10/0.31 % CPUTime :
% 0.15/0.32 % Drodi V3.6.0
% 0.15/0.34 % Refutation found
% 0.15/0.34 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.15/0.34 % SZS output start CNFRefutation for theBenchmark
% 0.15/0.34 fof(f8,axiom,(
% 0.15/0.34 ssList(nil) ),
% 0.15/0.34 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.34 fof(f72,axiom,(
% 0.15/0.34 (![U,V]: (( ~ ssList(U)| duplicatefreeP(U)| ssItem(V) ) ))),
% 0.15/0.34 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.34 fof(f73,axiom,(
% 0.15/0.34 (![U]: (( ~ ssList(U)| app(U,nil) = U ) ))),
% 0.15/0.34 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.34 fof(f74,axiom,(
% 0.15/0.34 (![U]: (( ~ ssList(U)| app(nil,U) = U ) ))),
% 0.15/0.34 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.34 fof(f85,axiom,(
% 0.15/0.34 (![U,V]: (( ~ ssList(U)| ~ ssList(V)| ssList(app(V,U)) ) ))),
% 0.15/0.34 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.34 fof(f86,axiom,(
% 0.15/0.34 (![U,V]: (( ~ ssItem(U)| ~ ssList(V)| ssList(cons(U,V)) ) ))),
% 0.15/0.34 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.34 fof(f96,axiom,(
% 0.15/0.34 (![U,V]: (( ~ ssItem(U)| ~ ssList(V)| tl(cons(U,V)) = V ) ))),
% 0.15/0.34 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.34 fof(f97,axiom,(
% 0.15/0.34 (![U,V]: (( ~ ssItem(U)| ~ ssList(V)| hd(cons(U,V)) = U ) ))),
% 0.15/0.34 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.34 fof(f98,axiom,(
% 0.15/0.34 (![U,V]: (( cons(U,V) != nil| ~ ssItem(U)| ~ ssList(V) ) ))),
% 0.15/0.34 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.34 fof(f100,axiom,(
% 0.15/0.34 (![U,V]: (( ~ ssList(U)| ~ ssList(V)| neq(V,U)| V = U ) ))),
% 0.15/0.34 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.34 fof(f118,axiom,(
% 0.15/0.34 (![U,V]: (( app(U,V) != nil| ~ ssList(V)| ~ ssList(U)| nil = U ) ))),
% 0.15/0.34 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.34 fof(f120,axiom,(
% 0.15/0.34 (![U,V]: (( ~ ssItem(U)| ~ ssList(V)| app(cons(U,nil),V) = cons(U,V) ) ))),
% 0.15/0.34 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.34 fof(f150,axiom,(
% 0.15/0.34 (![U,V,W]: (( app(U,V) != app(U,W)| ~ ssList(V)| ~ ssList(U)| ~ ssList(W)| V = W ) ))),
% 0.15/0.34 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.34 fof(f151,axiom,(
% 0.15/0.34 (![U,V,W]: (( app(U,V) != app(W,V)| ~ ssList(U)| ~ ssList(V)| ~ ssList(W)| U = W ) ))),
% 0.15/0.34 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.34 fof(f186,negated_conjecture,(
% 0.15/0.34 ssList(sk1) ),
% 0.15/0.34 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.34 fof(f190,negated_conjecture,(
% 0.15/0.34 sk2 = sk4 ),
% 0.15/0.34 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.34 fof(f191,negated_conjecture,(
% 0.15/0.34 sk1 = sk3 ),
% 0.15/0.34 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.34 fof(f192,negated_conjecture,(
% 0.15/0.34 ( nil = sk3| nil != sk4 ) ),
% 0.15/0.34 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.34 fof(f193,negated_conjecture,(
% 0.15/0.34 ( ssItem(sk5)| ~ neq(sk4,nil) ) ),
% 0.15/0.34 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.34 fof(f194,negated_conjecture,(
% 0.15/0.34 ( ssList(sk6)| ~ neq(sk4,nil) ) ),
% 0.15/0.34 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.34 fof(f195,negated_conjecture,(
% 0.15/0.34 ( app(cons(sk5,nil),sk6) = sk4| ~ neq(sk4,nil) ) ),
% 0.15/0.34 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.34 fof(f196,negated_conjecture,(
% 0.15/0.34 ( app(sk6,cons(sk5,nil)) = sk3| ~ neq(sk4,nil) ) ),
% 0.15/0.34 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.34 fof(f197,negated_conjecture,(
% 0.15/0.34 ( nil = sk2| neq(sk2,nil) ) ),
% 0.15/0.34 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.34 fof(f198,negated_conjecture,(
% 0.15/0.34 (![A,B,C,D]: (( nil = sk2| ~ ssList(A)| sk1 != A| ~ ssList(B)| ~ ssList(C)| tl(sk2) != B| app(B,C) != A| ~ ssItem(D)| cons(D,nil) != C| hd(sk2) != D| ~ neq(nil,sk2)| ~ neq(nil,sk2) ) ))),
% 0.15/0.34 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.34 fof(f199,negated_conjecture,(
% 0.15/0.34 ( nil != sk1| neq(sk2,nil) ) ),
% 0.15/0.34 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.34 fof(f208,plain,(
% 0.15/0.34 ssList(nil)),
% 0.15/0.34 inference(cnf_transformation,[status(esa)],[f8])).
% 0.15/0.34 fof(f272,plain,(
% 0.15/0.34 (![U]: (~ssList(U)|duplicatefreeP(U)))|(![V]: ssItem(V))),
% 0.15/0.34 inference(miniscoping,[status(esa)],[f72])).
% 0.15/0.34 fof(f273,plain,(
% 0.15/0.34 ![X0,X1]: (~ssList(X0)|duplicatefreeP(X0)|ssItem(X1))),
% 0.15/0.34 inference(cnf_transformation,[status(esa)],[f272])).
% 0.15/0.34 fof(f274,plain,(
% 0.15/0.34 ![X0]: (~ssList(X0)|app(X0,nil)=X0)),
% 0.15/0.34 inference(cnf_transformation,[status(esa)],[f73])).
% 0.15/0.34 fof(f275,plain,(
% 0.15/0.34 ![X0]: (~ssList(X0)|app(nil,X0)=X0)),
% 0.15/0.34 inference(cnf_transformation,[status(esa)],[f74])).
% 0.15/0.34 fof(f286,plain,(
% 0.15/0.34 ![X0,X1]: (~ssList(X0)|~ssList(X1)|ssList(app(X1,X0)))),
% 0.15/0.34 inference(cnf_transformation,[status(esa)],[f85])).
% 0.15/0.34 fof(f287,plain,(
% 0.15/0.34 ![X0,X1]: (~ssItem(X0)|~ssList(X1)|ssList(cons(X0,X1)))),
% 0.15/0.34 inference(cnf_transformation,[status(esa)],[f86])).
% 0.15/0.34 fof(f297,plain,(
% 0.15/0.34 ![X0,X1]: (~ssItem(X0)|~ssList(X1)|tl(cons(X0,X1))=X1)),
% 0.15/0.34 inference(cnf_transformation,[status(esa)],[f96])).
% 0.15/0.34 fof(f298,plain,(
% 0.15/0.34 ![X0,X1]: (~ssItem(X0)|~ssList(X1)|hd(cons(X0,X1))=X0)),
% 0.15/0.34 inference(cnf_transformation,[status(esa)],[f97])).
% 0.15/0.34 fof(f299,plain,(
% 0.15/0.34 ![V]: ((![U]: (~cons(U,V)=nil|~ssItem(U)))|~ssList(V))),
% 0.15/0.34 inference(miniscoping,[status(esa)],[f98])).
% 0.15/0.34 fof(f300,plain,(
% 0.15/0.34 ![X0,X1]: (~cons(X0,X1)=nil|~ssItem(X0)|~ssList(X1))),
% 0.15/0.34 inference(cnf_transformation,[status(esa)],[f299])).
% 0.15/0.34 fof(f303,plain,(
% 0.15/0.34 ![X0,X1]: (~ssList(X0)|~ssList(X1)|neq(X1,X0)|X1=X0)),
% 0.15/0.34 inference(cnf_transformation,[status(esa)],[f100])).
% 0.15/0.34 fof(f327,plain,(
% 0.15/0.34 ![U]: (((![V]: (~app(U,V)=nil|~ssList(V)))|~ssList(U))|nil=U)),
% 0.15/0.34 inference(miniscoping,[status(esa)],[f118])).
% 0.15/0.34 fof(f328,plain,(
% 0.15/0.34 ![X0,X1]: (~app(X0,X1)=nil|~ssList(X1)|~ssList(X0)|nil=X0)),
% 0.15/0.34 inference(cnf_transformation,[status(esa)],[f327])).
% 0.15/0.34 fof(f331,plain,(
% 0.15/0.34 ![X0,X1]: (~ssItem(X0)|~ssList(X1)|app(cons(X0,nil),X1)=cons(X0,X1))),
% 0.15/0.34 inference(cnf_transformation,[status(esa)],[f120])).
% 0.15/0.34 fof(f370,plain,(
% 0.15/0.34 ![V,W]: (((![U]: ((~app(U,V)=app(U,W)|~ssList(V))|~ssList(U)))|~ssList(W))|V=W)),
% 0.15/0.34 inference(miniscoping,[status(esa)],[f150])).
% 0.15/0.34 fof(f371,plain,(
% 0.15/0.34 ![X0,X1,X2]: (~app(X0,X1)=app(X0,X2)|~ssList(X1)|~ssList(X0)|~ssList(X2)|X1=X2)),
% 0.15/0.34 inference(cnf_transformation,[status(esa)],[f370])).
% 0.15/0.34 fof(f372,plain,(
% 0.15/0.34 ![U,W]: (((![V]: ((~app(U,V)=app(W,V)|~ssList(U))|~ssList(V)))|~ssList(W))|U=W)),
% 0.15/0.34 inference(miniscoping,[status(esa)],[f151])).
% 0.15/0.34 fof(f373,plain,(
% 0.15/0.34 ![X0,X1,X2]: (~app(X0,X1)=app(X2,X1)|~ssList(X0)|~ssList(X1)|~ssList(X2)|X0=X2)),
% 0.15/0.34 inference(cnf_transformation,[status(esa)],[f372])).
% 0.15/0.34 fof(f431,plain,(
% 0.15/0.34 ssList(sk1)),
% 0.15/0.34 inference(cnf_transformation,[status(esa)],[f186])).
% 0.15/0.34 fof(f435,plain,(
% 0.15/0.34 sk2=sk4),
% 0.15/0.34 inference(cnf_transformation,[status(esa)],[f190])).
% 0.15/0.34 fof(f436,plain,(
% 0.15/0.34 sk1=sk3),
% 0.15/0.34 inference(cnf_transformation,[status(esa)],[f191])).
% 0.15/0.34 fof(f437,plain,(
% 0.15/0.34 nil=sk3|~nil=sk4),
% 0.15/0.34 inference(cnf_transformation,[status(esa)],[f192])).
% 0.15/0.34 fof(f438,plain,(
% 0.15/0.34 ssItem(sk5)|~neq(sk4,nil)),
% 0.15/0.34 inference(cnf_transformation,[status(esa)],[f193])).
% 0.15/0.34 fof(f439,plain,(
% 0.15/0.34 ssList(sk6)|~neq(sk4,nil)),
% 0.15/0.34 inference(cnf_transformation,[status(esa)],[f194])).
% 0.15/0.34 fof(f440,plain,(
% 0.15/0.34 app(cons(sk5,nil),sk6)=sk4|~neq(sk4,nil)),
% 0.15/0.34 inference(cnf_transformation,[status(esa)],[f195])).
% 0.15/0.34 fof(f441,plain,(
% 0.15/0.34 app(sk6,cons(sk5,nil))=sk3|~neq(sk4,nil)),
% 0.15/0.34 inference(cnf_transformation,[status(esa)],[f196])).
% 0.15/0.34 fof(f442,plain,(
% 0.15/0.34 nil=sk2|neq(sk2,nil)),
% 0.15/0.34 inference(cnf_transformation,[status(esa)],[f197])).
% 0.15/0.34 fof(f443,plain,(
% 0.15/0.34 ((![D]: ((![C]: (((![A,B]: ((((((nil=sk2|~ssList(A))|~sk1=A)|~ssList(B))|~ssList(C))|~tl(sk2)=B)|~app(B,C)=A))|~ssItem(D))|~cons(D,nil)=C))|~hd(sk2)=D))|~neq(nil,sk2))|~neq(nil,sk2)),
% 0.15/0.34 inference(miniscoping,[status(esa)],[f198])).
% 0.15/0.34 fof(f444,plain,(
% 0.15/0.34 ![X0,X1,X2,X3]: (nil=sk2|~ssList(X0)|~sk1=X0|~ssList(X1)|~ssList(X2)|~tl(sk2)=X1|~app(X1,X2)=X0|~ssItem(X3)|~cons(X3,nil)=X2|~hd(sk2)=X3|~neq(nil,sk2)|~neq(nil,sk2))),
% 0.15/0.34 inference(cnf_transformation,[status(esa)],[f443])).
% 0.15/0.34 fof(f445,plain,(
% 0.15/0.34 ~nil=sk1|neq(sk2,nil)),
% 0.15/0.34 inference(cnf_transformation,[status(esa)],[f199])).
% 0.15/0.34 fof(f448,plain,(
% 0.15/0.34 spl0_0 <=> ~ssList(X0)|duplicatefreeP(X0)),
% 0.15/0.34 introduced(split_symbol_definition)).
% 0.15/0.34 fof(f451,plain,(
% 0.15/0.34 spl0_1 <=> ssItem(X1)),
% 0.15/0.34 introduced(split_symbol_definition)).
% 0.15/0.34 fof(f452,plain,(
% 0.15/0.34 ![X0]: (ssItem(X0)|~spl0_1)),
% 0.15/0.34 inference(component_clause,[status(thm)],[f451])).
% 0.15/0.34 fof(f454,plain,(
% 0.15/0.34 spl0_0|spl0_1),
% 0.15/0.34 inference(split_clause,[status(thm)],[f273,f448,f451])).
% 0.15/0.34 fof(f455,plain,(
% 0.15/0.34 spl0_2 <=> nil=sk3),
% 0.15/0.34 introduced(split_symbol_definition)).
% 0.15/0.34 fof(f456,plain,(
% 0.15/0.34 nil=sk3|~spl0_2),
% 0.15/0.34 inference(component_clause,[status(thm)],[f455])).
% 0.15/0.34 fof(f458,plain,(
% 0.15/0.34 spl0_3 <=> nil=sk4),
% 0.15/0.34 introduced(split_symbol_definition)).
% 0.15/0.34 fof(f460,plain,(
% 0.15/0.34 ~nil=sk4|spl0_3),
% 0.15/0.34 inference(component_clause,[status(thm)],[f458])).
% 0.15/0.34 fof(f461,plain,(
% 0.15/0.34 spl0_2|~spl0_3),
% 0.15/0.34 inference(split_clause,[status(thm)],[f437,f455,f458])).
% 0.15/0.34 fof(f462,plain,(
% 0.15/0.34 spl0_4 <=> ssItem(sk5)),
% 0.15/0.34 introduced(split_symbol_definition)).
% 0.15/0.34 fof(f463,plain,(
% 0.15/0.34 ssItem(sk5)|~spl0_4),
% 0.15/0.34 inference(component_clause,[status(thm)],[f462])).
% 0.15/0.34 fof(f465,plain,(
% 0.15/0.34 spl0_5 <=> neq(sk4,nil)),
% 0.15/0.34 introduced(split_symbol_definition)).
% 0.15/0.34 fof(f467,plain,(
% 0.15/0.34 ~neq(sk4,nil)|spl0_5),
% 0.15/0.34 inference(component_clause,[status(thm)],[f465])).
% 0.15/0.34 fof(f468,plain,(
% 0.15/0.34 spl0_4|~spl0_5),
% 0.15/0.34 inference(split_clause,[status(thm)],[f438,f462,f465])).
% 0.15/0.34 fof(f469,plain,(
% 0.15/0.34 spl0_6 <=> ssList(sk6)),
% 0.15/0.34 introduced(split_symbol_definition)).
% 0.15/0.34 fof(f470,plain,(
% 0.15/0.34 ssList(sk6)|~spl0_6),
% 0.15/0.34 inference(component_clause,[status(thm)],[f469])).
% 0.15/0.34 fof(f472,plain,(
% 0.15/0.34 spl0_6|~spl0_5),
% 0.15/0.34 inference(split_clause,[status(thm)],[f439,f469,f465])).
% 0.15/0.34 fof(f473,plain,(
% 0.15/0.34 spl0_7 <=> app(cons(sk5,nil),sk6)=sk4),
% 0.15/0.34 introduced(split_symbol_definition)).
% 0.15/0.34 fof(f474,plain,(
% 0.15/0.34 app(cons(sk5,nil),sk6)=sk4|~spl0_7),
% 0.15/0.34 inference(component_clause,[status(thm)],[f473])).
% 0.15/0.34 fof(f476,plain,(
% 0.15/0.34 spl0_7|~spl0_5),
% 0.15/0.34 inference(split_clause,[status(thm)],[f440,f473,f465])).
% 0.15/0.34 fof(f477,plain,(
% 0.15/0.34 spl0_8 <=> app(sk6,cons(sk5,nil))=sk3),
% 0.15/0.34 introduced(split_symbol_definition)).
% 0.15/0.34 fof(f478,plain,(
% 0.15/0.34 app(sk6,cons(sk5,nil))=sk3|~spl0_8),
% 0.15/0.34 inference(component_clause,[status(thm)],[f477])).
% 0.15/0.34 fof(f480,plain,(
% 0.15/0.34 spl0_8|~spl0_5),
% 0.15/0.34 inference(split_clause,[status(thm)],[f441,f477,f465])).
% 0.15/0.34 fof(f481,plain,(
% 0.15/0.34 spl0_9 <=> nil=sk2),
% 0.15/0.34 introduced(split_symbol_definition)).
% 0.15/0.34 fof(f482,plain,(
% 0.15/0.34 nil=sk2|~spl0_9),
% 0.15/0.34 inference(component_clause,[status(thm)],[f481])).
% 0.15/0.34 fof(f484,plain,(
% 0.15/0.34 spl0_10 <=> neq(sk2,nil)),
% 0.15/0.34 introduced(split_symbol_definition)).
% 0.15/0.34 fof(f485,plain,(
% 0.15/0.34 neq(sk2,nil)|~spl0_10),
% 0.15/0.34 inference(component_clause,[status(thm)],[f484])).
% 0.15/0.34 fof(f487,plain,(
% 0.15/0.34 spl0_9|spl0_10),
% 0.15/0.34 inference(split_clause,[status(thm)],[f442,f481,f484])).
% 0.15/0.34 fof(f488,plain,(
% 0.15/0.34 spl0_11 <=> ~ssList(X0)|~sk1=X0|~ssList(X1)|~ssList(X2)|~tl(sk2)=X1|~app(X1,X2)=X0|~ssItem(X3)|~cons(X3,nil)=X2|~hd(sk2)=X3),
% 0.15/0.34 introduced(split_symbol_definition)).
% 0.15/0.34 fof(f489,plain,(
% 0.15/0.34 ![X0,X1,X2,X3]: (~ssList(X0)|~sk1=X0|~ssList(X1)|~ssList(X2)|~tl(sk2)=X1|~app(X1,X2)=X0|~ssItem(X3)|~cons(X3,nil)=X2|~hd(sk2)=X3|~spl0_11)),
% 0.15/0.34 inference(component_clause,[status(thm)],[f488])).
% 0.15/0.34 fof(f491,plain,(
% 0.15/0.34 spl0_12 <=> neq(nil,sk2)),
% 0.15/0.34 introduced(split_symbol_definition)).
% 0.15/0.34 fof(f493,plain,(
% 0.15/0.34 ~neq(nil,sk2)|spl0_12),
% 0.15/0.34 inference(component_clause,[status(thm)],[f491])).
% 0.15/0.34 fof(f494,plain,(
% 0.15/0.34 spl0_9|spl0_11|~spl0_12),
% 0.15/0.34 inference(split_clause,[status(thm)],[f444,f481,f488,f491])).
% 0.15/0.34 fof(f495,plain,(
% 0.15/0.34 spl0_13 <=> nil=sk1),
% 0.15/0.34 introduced(split_symbol_definition)).
% 0.15/0.34 fof(f497,plain,(
% 0.15/0.34 ~nil=sk1|spl0_13),
% 0.15/0.34 inference(component_clause,[status(thm)],[f495])).
% 0.15/0.34 fof(f498,plain,(
% 0.15/0.34 ~spl0_13|spl0_10),
% 0.15/0.34 inference(split_clause,[status(thm)],[f445,f495,f484])).
% 0.15/0.34 fof(f531,plain,(
% 0.15/0.34 ~nil=sk2|spl0_3),
% 0.15/0.34 inference(forward_demodulation,[status(thm)],[f435,f460])).
% 0.15/0.34 fof(f532,plain,(
% 0.15/0.34 $false|spl0_3|~spl0_9),
% 0.15/0.34 inference(forward_subsumption_resolution,[status(thm)],[f482,f531])).
% 0.15/0.34 fof(f533,plain,(
% 0.15/0.34 spl0_3|~spl0_9),
% 0.15/0.34 inference(contradiction_clause,[status(thm)],[f532])).
% 0.15/0.34 fof(f534,plain,(
% 0.15/0.34 nil=sk1|~spl0_2),
% 0.15/0.34 inference(forward_demodulation,[status(thm)],[f436,f456])).
% 0.15/0.34 fof(f537,plain,(
% 0.15/0.34 ~neq(sk2,nil)|spl0_5),
% 0.15/0.34 inference(forward_demodulation,[status(thm)],[f435,f467])).
% 0.15/0.34 fof(f538,plain,(
% 0.15/0.34 $false|spl0_5|~spl0_10),
% 0.15/0.34 inference(forward_subsumption_resolution,[status(thm)],[f485,f537])).
% 0.15/0.34 fof(f539,plain,(
% 0.15/0.34 spl0_5|~spl0_10),
% 0.15/0.34 inference(contradiction_clause,[status(thm)],[f538])).
% 0.15/0.34 fof(f540,plain,(
% 0.15/0.34 ~nil=nil|~spl0_2|spl0_13),
% 0.15/0.34 inference(forward_demodulation,[status(thm)],[f534,f497])).
% 0.15/0.34 fof(f541,plain,(
% 0.15/0.34 $false|~spl0_2|spl0_13),
% 0.15/0.34 inference(trivial_equality_resolution,[status(esa)],[f540])).
% 0.15/0.34 fof(f542,plain,(
% 0.15/0.34 ~spl0_2|spl0_13),
% 0.15/0.34 inference(contradiction_clause,[status(thm)],[f541])).
% 0.15/0.34 fof(f543,plain,(
% 0.15/0.34 app(cons(sk5,nil),sk6)=sk2|~spl0_7),
% 0.15/0.34 inference(forward_demodulation,[status(thm)],[f435,f474])).
% 0.15/0.34 fof(f546,plain,(
% 0.15/0.34 spl0_14 <=> ssList(cons(sk5,nil))),
% 0.15/0.34 introduced(split_symbol_definition)).
% 0.15/0.34 fof(f547,plain,(
% 0.15/0.34 ssList(cons(sk5,nil))|~spl0_14),
% 0.15/0.34 inference(component_clause,[status(thm)],[f546])).
% 0.15/0.34 fof(f548,plain,(
% 0.15/0.34 ~ssList(cons(sk5,nil))|spl0_14),
% 0.15/0.34 inference(component_clause,[status(thm)],[f546])).
% 0.15/0.34 fof(f549,plain,(
% 0.15/0.34 spl0_15 <=> ssList(sk2)),
% 0.15/0.34 introduced(split_symbol_definition)).
% 0.15/0.34 fof(f552,plain,(
% 0.15/0.34 ~ssList(sk6)|~ssList(cons(sk5,nil))|ssList(sk2)|~spl0_7),
% 0.15/0.34 inference(paramodulation,[status(thm)],[f543,f286])).
% 0.15/0.34 fof(f553,plain,(
% 0.15/0.34 ~spl0_6|~spl0_14|spl0_15|~spl0_7),
% 0.15/0.34 inference(split_clause,[status(thm)],[f552,f469,f546,f549,f473])).
% 0.15/0.34 fof(f569,plain,(
% 0.15/0.34 spl0_17 <=> ssList(nil)),
% 0.15/0.34 introduced(split_symbol_definition)).
% 0.15/0.34 fof(f571,plain,(
% 0.15/0.34 ~ssList(nil)|spl0_17),
% 0.15/0.34 inference(component_clause,[status(thm)],[f569])).
% 0.15/0.34 fof(f572,plain,(
% 0.15/0.34 ~ssItem(sk5)|~ssList(nil)|spl0_14),
% 0.15/0.34 inference(resolution,[status(thm)],[f548,f287])).
% 0.15/0.34 fof(f573,plain,(
% 0.15/0.34 ~spl0_4|~spl0_17|spl0_14),
% 0.15/0.34 inference(split_clause,[status(thm)],[f572,f462,f569,f546])).
% 0.15/0.34 fof(f574,plain,(
% 0.15/0.34 $false|spl0_17),
% 0.15/0.34 inference(forward_subsumption_resolution,[status(thm)],[f571,f208])).
% 0.15/0.34 fof(f575,plain,(
% 0.15/0.34 spl0_17),
% 0.15/0.34 inference(contradiction_clause,[status(thm)],[f574])).
% 0.15/0.34 fof(f592,plain,(
% 0.15/0.34 app(sk6,cons(sk5,nil))=sk1|~spl0_8),
% 0.15/0.34 inference(backward_demodulation,[status(thm)],[f436,f478])).
% 0.15/0.34 fof(f593,plain,(
% 0.15/0.34 ![X0,X1]: (~cons(X0,X1)=nil|~ssList(X1)|~spl0_1)),
% 0.15/0.34 inference(forward_subsumption_resolution,[status(thm)],[f300,f452])).
% 0.15/0.34 fof(f594,plain,(
% 0.15/0.34 ~ssList(sk2)|~ssList(nil)|nil=sk2|spl0_12),
% 0.15/0.34 inference(resolution,[status(thm)],[f303,f493])).
% 0.15/0.34 fof(f595,plain,(
% 0.15/0.34 ~spl0_15|~spl0_17|spl0_9|spl0_12),
% 0.15/0.34 inference(split_clause,[status(thm)],[f594,f549,f569,f481,f491])).
% 0.15/0.34 fof(f596,plain,(
% 0.15/0.34 ~ssList(sk1)|~ssList(tl(sk2))|~ssList(cons(hd(sk2),nil))|~app(tl(sk2),cons(hd(sk2),nil))=sk1|~ssItem(hd(sk2))|~spl0_11),
% 0.15/0.34 inference(destructive_equality_resolution,[status(esa)],[f489])).
% 0.15/0.34 fof(f597,plain,(
% 0.15/0.34 ~ssList(tl(sk2))|~ssList(cons(hd(sk2),nil))|~app(tl(sk2),cons(hd(sk2),nil))=sk1|~ssItem(hd(sk2))|~spl0_11),
% 0.15/0.34 inference(forward_subsumption_resolution,[status(thm)],[f596,f431])).
% 0.15/0.34 fof(f601,plain,(
% 0.15/0.34 spl0_20 <=> nil=nil),
% 0.15/0.34 introduced(split_symbol_definition)).
% 0.15/0.34 fof(f609,plain,(
% 0.15/0.34 ~ssList(nil)|~ssList(nil)|nil=nil|~ssList(nil)),
% 0.15/0.34 inference(resolution,[status(thm)],[f328,f275])).
% 0.15/0.34 fof(f610,plain,(
% 0.15/0.34 ~spl0_17|spl0_20),
% 0.15/0.34 inference(split_clause,[status(thm)],[f609,f569,f601])).
% 0.15/0.34 fof(f613,plain,(
% 0.15/0.34 spl0_22 <=> nil=cons(sk5,nil)),
% 0.15/0.34 introduced(split_symbol_definition)).
% 0.15/0.34 fof(f614,plain,(
% 0.15/0.34 nil=cons(sk5,nil)|~spl0_22),
% 0.15/0.34 inference(component_clause,[status(thm)],[f613])).
% 0.15/0.34 fof(f616,plain,(
% 0.15/0.34 ~sk2=nil|~ssList(sk6)|~ssList(cons(sk5,nil))|nil=cons(sk5,nil)|~spl0_7),
% 0.15/0.34 inference(paramodulation,[status(thm)],[f543,f328])).
% 0.15/0.34 fof(f617,plain,(
% 0.15/0.34 ~spl0_9|~spl0_6|~spl0_14|spl0_22|~spl0_7),
% 0.15/0.34 inference(split_clause,[status(thm)],[f616,f481,f469,f546,f613,f473])).
% 0.15/0.34 fof(f628,plain,(
% 0.15/0.34 spl0_24 <=> sk2=cons(sk5,sk6)),
% 0.15/0.34 introduced(split_symbol_definition)).
% 0.15/0.34 fof(f629,plain,(
% 0.15/0.34 sk2=cons(sk5,sk6)|~spl0_24),
% 0.15/0.34 inference(component_clause,[status(thm)],[f628])).
% 0.15/0.34 fof(f638,plain,(
% 0.15/0.34 spl0_26 <=> ~ssList(app(nil,X0))|~ssList(X0)|app(nil,X0)=X0|~ssList(app(nil,X0))),
% 0.15/0.34 introduced(split_symbol_definition)).
% 0.15/0.34 fof(f641,plain,(
% 0.15/0.34 ![X0]: (~ssList(app(nil,X0))|~ssList(nil)|~ssList(X0)|app(nil,X0)=X0|~ssList(app(nil,X0)))),
% 0.15/0.34 inference(resolution,[status(thm)],[f371,f275])).
% 0.15/0.34 fof(f642,plain,(
% 0.15/0.34 spl0_26|~spl0_17),
% 0.15/0.34 inference(split_clause,[status(thm)],[f641,f638,f569])).
% 0.15/0.34 fof(f661,plain,(
% 0.15/0.34 spl0_30 <=> ~ssList(app(X0,nil))|~ssList(X0)|app(X0,nil)=X0|~ssList(app(X0,nil))),
% 0.15/0.34 introduced(split_symbol_definition)).
% 0.15/0.34 fof(f664,plain,(
% 0.15/0.34 ![X0]: (~ssList(app(X0,nil))|~ssList(nil)|~ssList(X0)|app(X0,nil)=X0|~ssList(app(X0,nil)))),
% 0.15/0.34 inference(resolution,[status(thm)],[f373,f274])).
% 0.15/0.34 fof(f665,plain,(
% 0.15/0.34 spl0_30|~spl0_17),
% 0.15/0.34 inference(split_clause,[status(thm)],[f664,f661,f569])).
% 0.15/0.34 fof(f699,plain,(
% 0.15/0.34 spl0_36 <=> hd(sk2)=sk5),
% 0.15/0.34 introduced(split_symbol_definition)).
% 0.15/0.34 fof(f700,plain,(
% 0.15/0.34 hd(sk2)=sk5|~spl0_36),
% 0.15/0.34 inference(component_clause,[status(thm)],[f699])).
% 0.15/0.34 fof(f704,plain,(
% 0.15/0.34 spl0_37 <=> tl(sk2)=sk6),
% 0.15/0.34 introduced(split_symbol_definition)).
% 0.15/0.34 fof(f705,plain,(
% 0.15/0.34 tl(sk2)=sk6|~spl0_37),
% 0.15/0.34 inference(component_clause,[status(thm)],[f704])).
% 0.15/0.34 fof(f781,plain,(
% 0.15/0.34 ~ssList(nil)|~spl0_22|~spl0_1),
% 0.15/0.34 inference(resolution,[status(thm)],[f614,f593])).
% 0.15/0.34 fof(f782,plain,(
% 0.15/0.34 ~spl0_17|~spl0_22|~spl0_1),
% 0.15/0.34 inference(split_clause,[status(thm)],[f781,f569,f613,f451])).
% 0.15/0.34 fof(f987,plain,(
% 0.15/0.34 spl0_70 <=> ssList(tl(sk2))),
% 0.15/0.34 introduced(split_symbol_definition)).
% 0.15/0.34 fof(f989,plain,(
% 0.15/0.34 ~ssList(tl(sk2))|spl0_70),
% 0.15/0.34 inference(component_clause,[status(thm)],[f987])).
% 0.15/0.34 fof(f990,plain,(
% 0.15/0.34 spl0_71 <=> ssList(cons(hd(sk2),nil))),
% 0.15/0.34 introduced(split_symbol_definition)).
% 0.15/0.34 fof(f992,plain,(
% 0.15/0.34 ~ssList(cons(hd(sk2),nil))|spl0_71),
% 0.15/0.34 inference(component_clause,[status(thm)],[f990])).
% 0.15/0.34 fof(f996,plain,(
% 0.15/0.34 spl0_73 <=> ssItem(hd(sk2))),
% 0.15/0.34 introduced(split_symbol_definition)).
% 0.15/0.34 fof(f998,plain,(
% 0.15/0.34 ~ssItem(hd(sk2))|spl0_73),
% 0.15/0.34 inference(component_clause,[status(thm)],[f996])).
% 0.15/0.34 fof(f1017,plain,(
% 0.15/0.34 ~ssItem(sk5)|~spl0_36|spl0_73),
% 0.15/0.34 inference(forward_demodulation,[status(thm)],[f700,f998])).
% 0.15/0.34 fof(f1018,plain,(
% 0.15/0.34 $false|~spl0_4|~spl0_36|spl0_73),
% 0.15/0.34 inference(forward_subsumption_resolution,[status(thm)],[f1017,f463])).
% 0.15/0.34 fof(f1019,plain,(
% 0.15/0.34 ~spl0_4|~spl0_36|spl0_73),
% 0.15/0.34 inference(contradiction_clause,[status(thm)],[f1018])).
% 0.15/0.34 fof(f1022,plain,(
% 0.15/0.34 spl0_75 <=> app(tl(sk2),cons(hd(sk2),nil))=sk1),
% 0.15/0.34 introduced(split_symbol_definition)).
% 0.15/0.34 fof(f1024,plain,(
% 0.15/0.34 ~app(tl(sk2),cons(hd(sk2),nil))=sk1|spl0_75),
% 0.15/0.34 inference(component_clause,[status(thm)],[f1022])).
% 0.15/0.34 fof(f1025,plain,(
% 0.15/0.34 ~spl0_70|~spl0_71|~spl0_75|~spl0_73|~spl0_11),
% 0.15/0.34 inference(split_clause,[status(thm)],[f597,f987,f990,f1022,f996,f488])).
% 0.15/0.34 fof(f1075,plain,(
% 0.15/0.34 ~ssItem(sk5)|~ssList(sk6)|tl(sk2)=sk6|~spl0_24),
% 0.15/0.34 inference(paramodulation,[status(thm)],[f629,f297])).
% 0.15/0.34 fof(f1076,plain,(
% 0.15/0.34 ~spl0_4|~spl0_6|spl0_37|~spl0_24),
% 0.15/0.34 inference(split_clause,[status(thm)],[f1075,f462,f469,f704,f628])).
% 0.15/0.34 fof(f1077,plain,(
% 0.15/0.34 ~ssItem(sk5)|~ssList(sk6)|hd(sk2)=sk5|~spl0_24),
% 0.15/0.34 inference(paramodulation,[status(thm)],[f629,f298])).
% 0.15/0.34 fof(f1078,plain,(
% 0.15/0.34 ~spl0_4|~spl0_6|spl0_36|~spl0_24),
% 0.15/0.34 inference(split_clause,[status(thm)],[f1077,f462,f469,f699,f628])).
% 0.15/0.34 fof(f1081,plain,(
% 0.15/0.34 ~sk2=nil|~ssItem(sk5)|~ssList(sk6)|~spl0_24),
% 0.15/0.34 inference(paramodulation,[status(thm)],[f629,f300])).
% 0.15/0.34 fof(f1082,plain,(
% 0.15/0.34 ~spl0_9|~spl0_4|~spl0_6|~spl0_24),
% 0.15/0.34 inference(split_clause,[status(thm)],[f1081,f481,f462,f469,f628])).
% 0.15/0.34 fof(f1116,plain,(
% 0.15/0.34 ~ssItem(sk5)|~ssList(sk6)|sk2=cons(sk5,sk6)|~spl0_7),
% 0.15/0.34 inference(paramodulation,[status(thm)],[f543,f331])).
% 0.15/0.34 fof(f1117,plain,(
% 0.15/0.34 ~spl0_4|~spl0_6|spl0_24|~spl0_7),
% 0.15/0.34 inference(split_clause,[status(thm)],[f1116,f462,f469,f628,f473])).
% 0.15/0.34 fof(f1152,plain,(
% 0.15/0.34 ~app(sk6,cons(hd(sk2),nil))=sk1|~spl0_37|spl0_75),
% 0.15/0.34 inference(forward_demodulation,[status(thm)],[f705,f1024])).
% 0.15/0.34 fof(f1153,plain,(
% 0.15/0.34 ~app(sk6,cons(sk5,nil))=sk1|~spl0_36|~spl0_37|spl0_75),
% 0.15/0.34 inference(forward_demodulation,[status(thm)],[f700,f1152])).
% 0.15/0.34 fof(f1154,plain,(
% 0.15/0.34 ~sk1=sk1|~spl0_8|~spl0_36|~spl0_37|spl0_75),
% 0.15/0.34 inference(forward_demodulation,[status(thm)],[f592,f1153])).
% 0.15/0.34 fof(f1155,plain,(
% 0.15/0.34 $false|~spl0_8|~spl0_36|~spl0_37|spl0_75),
% 0.15/0.34 inference(trivial_equality_resolution,[status(esa)],[f1154])).
% 0.15/0.34 fof(f1156,plain,(
% 0.15/0.34 ~spl0_8|~spl0_36|~spl0_37|spl0_75),
% 0.15/0.34 inference(contradiction_clause,[status(thm)],[f1155])).
% 0.15/0.34 fof(f1157,plain,(
% 0.15/0.34 ~ssList(sk6)|~spl0_37|spl0_70),
% 0.15/0.34 inference(forward_demodulation,[status(thm)],[f705,f989])).
% 0.15/0.34 fof(f1158,plain,(
% 0.15/0.34 $false|~spl0_6|~spl0_37|spl0_70),
% 0.15/0.34 inference(forward_subsumption_resolution,[status(thm)],[f1157,f470])).
% 0.15/0.34 fof(f1159,plain,(
% 0.15/0.34 ~spl0_6|~spl0_37|spl0_70),
% 0.15/0.34 inference(contradiction_clause,[status(thm)],[f1158])).
% 0.15/0.34 fof(f1162,plain,(
% 0.15/0.34 ~ssList(cons(sk5,nil))|~spl0_36|spl0_71),
% 0.15/0.34 inference(forward_demodulation,[status(thm)],[f700,f992])).
% 0.15/0.34 fof(f1163,plain,(
% 0.15/0.34 $false|~spl0_14|~spl0_36|spl0_71),
% 0.15/0.34 inference(forward_subsumption_resolution,[status(thm)],[f1162,f547])).
% 0.15/0.34 fof(f1164,plain,(
% 0.15/0.34 ~spl0_14|~spl0_36|spl0_71),
% 0.15/0.34 inference(contradiction_clause,[status(thm)],[f1163])).
% 0.15/0.34 fof(f1165,plain,(
% 0.15/0.34 $false),
% 0.15/0.34 inference(sat_refutation,[status(thm)],[f454,f461,f468,f472,f476,f480,f487,f494,f498,f533,f539,f542,f553,f573,f575,f595,f610,f617,f642,f665,f782,f1019,f1025,f1076,f1078,f1082,f1117,f1156,f1159,f1164])).
% 0.15/0.34 % SZS output end CNFRefutation for theBenchmark.p
% 0.15/0.34 % Elapsed time: 0.032062 seconds
% 0.15/0.34 % CPU time: 0.093418 seconds
% 0.15/0.34 % Total memory used: 25.725 MB
% 0.15/0.34 % Net memory used: 25.579 MB
%------------------------------------------------------------------------------