TSTP Solution File: SWC077-1 by Drodi---3.5.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SWC077-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n021.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 12:39:09 EDT 2023
% Result : Timeout 287.36s 36.56s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SWC077-1 : 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 : n021.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 11:17:52 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.13/0.35 % Drodi V3.5.1
% 287.36/36.56 % Refutation found
% 287.36/36.56 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 287.36/36.56 % SZS output start CNFRefutation for theBenchmark
% 287.36/36.56 fof(f8,axiom,(
% 287.36/36.56 ssList(nil) ),
% 287.36/36.56 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 287.36/36.56 fof(f12,axiom,(
% 287.36/36.56 (![U]: (ssItem(skaf83(U)) ))),
% 287.36/36.56 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 287.36/36.56 fof(f13,axiom,(
% 287.36/36.56 (![U]: (ssList(skaf82(U)) ))),
% 287.36/36.56 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 287.36/36.56 fof(f50,axiom,(
% 287.36/36.56 (![U,V]: (ssList(skaf46(U,V)) ))),
% 287.36/36.56 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 287.36/36.56 fof(f51,axiom,(
% 287.36/36.56 (![U,V]: (ssList(skaf45(U,V)) ))),
% 287.36/36.56 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 287.36/36.56 fof(f56,axiom,(
% 287.36/36.56 (![U]: (( ~ ssList(U)| segmentP(U,nil) ) ))),
% 287.36/36.56 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 287.36/36.56 fof(f66,axiom,(
% 287.36/36.56 (![U]: (( ~ ssItem(U)| strictorderedP(cons(U,nil)) ) ))),
% 287.36/36.56 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 287.36/36.56 fof(f73,axiom,(
% 287.36/36.56 (![U]: (( ~ ssList(U)| app(U,nil) = U ) ))),
% 287.36/36.56 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 287.36/36.56 fof(f74,axiom,(
% 287.36/36.56 (![U]: (( ~ ssList(U)| app(nil,U) = U ) ))),
% 287.36/36.56 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 287.36/36.56 fof(f75,axiom,(
% 287.36/36.56 (![U]: (( ~ ssList(U)| ssList(tl(U))| nil = U ) ))),
% 287.36/36.56 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 287.36/36.56 fof(f76,axiom,(
% 287.36/36.56 (![U]: (( ~ ssList(U)| ssItem(hd(U))| nil = U ) ))),
% 287.36/36.56 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 287.36/36.56 fof(f85,axiom,(
% 287.36/36.56 (![U,V]: (( ~ ssList(U)| ~ ssList(V)| ssList(app(V,U)) ) ))),
% 287.36/36.56 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 287.36/36.56 fof(f86,axiom,(
% 287.36/36.56 (![U,V]: (( ~ ssItem(U)| ~ ssList(V)| ssList(cons(U,V)) ) ))),
% 287.36/36.56 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 287.36/36.56 fof(f99,axiom,(
% 287.36/36.56 (![U,V]: (( cons(U,V) != V| ~ ssItem(U)| ~ ssList(V) ) ))),
% 287.36/36.56 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 287.36/36.56 fof(f100,axiom,(
% 287.36/36.56 (![U,V]: (( ~ ssList(U)| ~ ssList(V)| neq(V,U)| V = U ) ))),
% 287.36/36.56 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 287.36/36.56 fof(f104,axiom,(
% 287.36/36.56 (![U]: (( ~ ssList(U)| cons(hd(U),tl(U)) = U| nil = U ) ))),
% 287.36/36.56 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 287.36/36.56 fof(f109,axiom,(
% 287.36/36.56 (![U]: (( ~ ssList(U)| cons(skaf83(U),skaf82(U)) = U| nil = U ) ))),
% 287.36/36.56 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 287.36/36.56 fof(f129,axiom,(
% 287.36/36.56 (![U,V]: (( ~ frontsegP(U,V)| ~ frontsegP(V,U)| ~ ssList(U)| ~ ssList(V)| V = U ) ))),
% 287.36/36.56 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 287.36/36.56 fof(f132,axiom,(
% 287.36/36.56 (![U,V]: (( ~ frontsegP(U,V)| ~ ssList(V)| ~ ssList(U)| app(V,skaf45(U,V)) = U ) ))),
% 287.36/36.56 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 287.36/36.56 fof(f144,axiom,(
% 287.36/36.56 (![U,V,W]: (( app(U,V) != W| ~ ssList(V)| ~ ssList(U)| ~ ssList(W)| frontsegP(W,U) ) ))),
% 287.36/36.56 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 287.36/36.56 fof(f173,axiom,(
% 287.36/36.56 (![U,V,W,X]: (( app(app(U,V),W) != X| ~ ssList(W)| ~ ssList(U)| ~ ssList(V)| ~ ssList(X)| segmentP(X,V) ) ))),
% 287.36/36.56 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 287.36/36.56 fof(f174,axiom,(
% 287.36/36.56 (![U,V,W,X]: (( ~ frontsegP(cons(U,V),cons(W,X))| ~ ssList(X)| ~ ssList(V)| ~ ssItem(W)| ~ ssItem(U)| frontsegP(V,X) ) ))),
% 287.36/36.56 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 287.36/36.56 fof(f178,axiom,(
% 287.36/36.56 (![U,V,W,X]: (( ~ frontsegP(U,V)| W != X| ~ ssList(V)| ~ ssList(U)| ~ ssItem(X)| ~ ssItem(W)| frontsegP(cons(W,U),cons(X,V)) ) ))),
% 287.36/36.56 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 287.36/36.56 fof(f186,negated_conjecture,(
% 287.36/36.56 ssList(sk1) ),
% 287.36/36.56 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 287.36/36.56 fof(f187,negated_conjecture,(
% 287.36/36.56 ssList(sk2) ),
% 287.36/36.56 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 287.36/36.56 fof(f190,negated_conjecture,(
% 287.36/36.56 sk2 = sk4 ),
% 287.36/36.56 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 287.36/36.56 fof(f191,negated_conjecture,(
% 287.36/36.56 sk1 = sk3 ),
% 287.36/36.56 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 287.36/36.56 fof(f192,negated_conjecture,(
% 287.36/36.56 frontsegP(sk4,sk3) ),
% 287.36/36.56 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 287.36/36.56 fof(f194,negated_conjecture,(
% 287.36/36.56 (![A]: (( ~ ssList(A)| ~ neq(A,nil)| ~ segmentP(sk2,A)| ~ segmentP(sk1,A) ) ))),
% 287.36/36.56 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 287.36/36.56 fof(f195,negated_conjecture,(
% 287.36/36.56 (![A]: (( ~ ssList(A)| ~ neq(sk3,A)| ~ frontsegP(sk4,A)| ~ segmentP(A,sk3)| ~ strictorderedP(A) ) ))),
% 287.36/36.56 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 287.36/36.56 fof(f196,negated_conjecture,(
% 287.36/36.56 ( nil != sk2| nil != sk1 ) ),
% 287.36/36.56 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 287.36/36.56 fof(f204,plain,(
% 287.36/36.56 ssList(nil)),
% 287.36/36.56 inference(cnf_transformation,[status(esa)],[f8])).
% 287.36/36.56 fof(f208,plain,(
% 287.36/36.56 ![X0]: (ssItem(skaf83(X0)))),
% 287.36/36.56 inference(cnf_transformation,[status(esa)],[f12])).
% 287.36/36.56 fof(f209,plain,(
% 287.36/36.56 ![X0]: (ssList(skaf82(X0)))),
% 287.36/36.56 inference(cnf_transformation,[status(esa)],[f13])).
% 287.36/36.56 fof(f246,plain,(
% 287.36/36.56 ![X0,X1]: (ssList(skaf46(X0,X1)))),
% 287.36/36.56 inference(cnf_transformation,[status(esa)],[f50])).
% 287.36/36.56 fof(f247,plain,(
% 287.36/36.56 ![X0,X1]: (ssList(skaf45(X0,X1)))),
% 287.36/36.56 inference(cnf_transformation,[status(esa)],[f51])).
% 287.36/36.56 fof(f252,plain,(
% 287.36/36.56 ![X0]: (~ssList(X0)|segmentP(X0,nil))),
% 287.36/36.56 inference(cnf_transformation,[status(esa)],[f56])).
% 287.36/36.56 fof(f262,plain,(
% 287.36/36.56 ![X0]: (~ssItem(X0)|strictorderedP(cons(X0,nil)))),
% 287.36/36.56 inference(cnf_transformation,[status(esa)],[f66])).
% 287.36/36.56 fof(f270,plain,(
% 287.36/36.56 ![X0]: (~ssList(X0)|app(X0,nil)=X0)),
% 287.36/36.56 inference(cnf_transformation,[status(esa)],[f73])).
% 287.36/36.56 fof(f271,plain,(
% 287.36/36.56 ![X0]: (~ssList(X0)|app(nil,X0)=X0)),
% 287.36/36.56 inference(cnf_transformation,[status(esa)],[f74])).
% 287.36/36.56 fof(f272,plain,(
% 287.36/36.56 ![X0]: (~ssList(X0)|ssList(tl(X0))|nil=X0)),
% 287.36/36.56 inference(cnf_transformation,[status(esa)],[f75])).
% 287.36/36.56 fof(f273,plain,(
% 287.36/36.56 ![X0]: (~ssList(X0)|ssItem(hd(X0))|nil=X0)),
% 287.36/36.56 inference(cnf_transformation,[status(esa)],[f76])).
% 287.36/36.56 fof(f282,plain,(
% 287.36/36.56 ![X0,X1]: (~ssList(X0)|~ssList(X1)|ssList(app(X1,X0)))),
% 287.36/36.56 inference(cnf_transformation,[status(esa)],[f85])).
% 287.36/36.56 fof(f283,plain,(
% 287.36/36.56 ![X0,X1]: (~ssItem(X0)|~ssList(X1)|ssList(cons(X0,X1)))),
% 287.36/36.56 inference(cnf_transformation,[status(esa)],[f86])).
% 287.36/36.56 fof(f297,plain,(
% 287.36/36.56 ![V]: ((![U]: (~cons(U,V)=V|~ssItem(U)))|~ssList(V))),
% 287.36/36.56 inference(miniscoping,[status(esa)],[f99])).
% 287.36/36.56 fof(f298,plain,(
% 287.36/36.56 ![X0,X1]: (~cons(X0,X1)=X1|~ssItem(X0)|~ssList(X1))),
% 287.36/36.56 inference(cnf_transformation,[status(esa)],[f297])).
% 287.36/36.56 fof(f299,plain,(
% 287.36/36.56 ![X0,X1]: (~ssList(X0)|~ssList(X1)|neq(X1,X0)|X1=X0)),
% 287.36/36.56 inference(cnf_transformation,[status(esa)],[f100])).
% 287.36/36.56 fof(f303,plain,(
% 287.36/36.56 ![X0]: (~ssList(X0)|cons(hd(X0),tl(X0))=X0|nil=X0)),
% 287.36/36.56 inference(cnf_transformation,[status(esa)],[f104])).
% 287.36/36.56 fof(f308,plain,(
% 287.36/36.56 ![X0]: (~ssList(X0)|cons(skaf83(X0),skaf82(X0))=X0|nil=X0)),
% 287.36/36.56 inference(cnf_transformation,[status(esa)],[f109])).
% 287.36/36.56 fof(f338,plain,(
% 287.36/36.56 ![X0,X1]: (~frontsegP(X0,X1)|~frontsegP(X1,X0)|~ssList(X0)|~ssList(X1)|X1=X0)),
% 287.36/36.56 inference(cnf_transformation,[status(esa)],[f129])).
% 287.36/36.56 fof(f341,plain,(
% 287.36/36.56 ![X0,X1]: (~frontsegP(X0,X1)|~ssList(X1)|~ssList(X0)|app(X1,skaf45(X0,X1))=X0)),
% 287.36/36.56 inference(cnf_transformation,[status(esa)],[f132])).
% 287.36/36.56 fof(f356,plain,(
% 287.36/36.56 ![U,W]: ((((![V]: (~app(U,V)=W|~ssList(V)))|~ssList(U))|~ssList(W))|frontsegP(W,U))),
% 287.36/36.56 inference(miniscoping,[status(esa)],[f144])).
% 287.36/36.56 fof(f357,plain,(
% 287.36/36.56 ![X0,X1,X2]: (~app(X0,X1)=X2|~ssList(X1)|~ssList(X0)|~ssList(X2)|frontsegP(X2,X0))),
% 287.36/36.56 inference(cnf_transformation,[status(esa)],[f356])).
% 287.36/36.56 fof(f402,plain,(
% 287.36/36.56 ![V,X]: ((((![U]: ((![W]: (~app(app(U,V),W)=X|~ssList(W)))|~ssList(U)))|~ssList(V))|~ssList(X))|segmentP(X,V))),
% 287.36/36.56 inference(miniscoping,[status(esa)],[f173])).
% 287.36/36.56 fof(f403,plain,(
% 287.36/36.56 ![X0,X1,X2,X3]: (~app(app(X0,X1),X2)=X3|~ssList(X2)|~ssList(X0)|~ssList(X1)|~ssList(X3)|segmentP(X3,X1))),
% 287.36/36.56 inference(cnf_transformation,[status(esa)],[f402])).
% 287.36/36.56 fof(f404,plain,(
% 287.36/36.56 ![V,X]: ((![U]: ((![W]: (((~frontsegP(cons(U,V),cons(W,X))|~ssList(X))|~ssList(V))|~ssItem(W)))|~ssItem(U)))|frontsegP(V,X))),
% 287.36/36.56 inference(miniscoping,[status(esa)],[f174])).
% 287.36/36.56 fof(f405,plain,(
% 287.36/36.56 ![X0,X1,X2,X3]: (~frontsegP(cons(X0,X1),cons(X2,X3))|~ssList(X3)|~ssList(X1)|~ssItem(X2)|~ssItem(X0)|frontsegP(X1,X3))),
% 287.36/36.56 inference(cnf_transformation,[status(esa)],[f404])).
% 287.36/36.56 fof(f412,plain,(
% 287.36/36.56 ![X0,X1,X2,X3]: (~frontsegP(X0,X1)|~X2=X3|~ssList(X1)|~ssList(X0)|~ssItem(X3)|~ssItem(X2)|frontsegP(cons(X2,X0),cons(X3,X1)))),
% 287.36/36.56 inference(cnf_transformation,[status(esa)],[f178])).
% 287.36/36.56 fof(f427,plain,(
% 287.36/36.56 ssList(sk1)),
% 287.36/36.56 inference(cnf_transformation,[status(esa)],[f186])).
% 287.36/36.56 fof(f428,plain,(
% 287.36/36.56 ssList(sk2)),
% 287.36/36.56 inference(cnf_transformation,[status(esa)],[f187])).
% 287.36/36.56 fof(f431,plain,(
% 287.36/36.56 sk2=sk4),
% 287.36/36.56 inference(cnf_transformation,[status(esa)],[f190])).
% 287.36/36.56 fof(f432,plain,(
% 287.36/36.56 sk1=sk3),
% 287.36/36.56 inference(cnf_transformation,[status(esa)],[f191])).
% 287.36/36.56 fof(f433,plain,(
% 287.36/36.56 frontsegP(sk4,sk3)),
% 287.36/36.56 inference(cnf_transformation,[status(esa)],[f192])).
% 287.36/36.56 fof(f435,plain,(
% 287.36/36.56 ![X0]: (~ssList(X0)|~neq(X0,nil)|~segmentP(sk2,X0)|~segmentP(sk1,X0))),
% 287.36/36.56 inference(cnf_transformation,[status(esa)],[f194])).
% 287.36/36.56 fof(f436,plain,(
% 287.36/36.56 ![X0]: (~ssList(X0)|~neq(sk3,X0)|~frontsegP(sk4,X0)|~segmentP(X0,sk3)|~strictorderedP(X0))),
% 287.36/36.56 inference(cnf_transformation,[status(esa)],[f195])).
% 287.36/36.56 fof(f437,plain,(
% 287.36/36.56 ~nil=sk2|~nil=sk1),
% 287.36/36.56 inference(cnf_transformation,[status(esa)],[f196])).
% 287.36/36.56 fof(f445,plain,(
% 287.36/36.56 spl0_2 <=> nil=sk2),
% 287.36/36.56 introduced(split_symbol_definition)).
% 287.36/36.56 fof(f448,plain,(
% 287.36/36.56 spl0_3 <=> nil=sk1),
% 287.36/36.56 introduced(split_symbol_definition)).
% 287.36/36.56 fof(f449,plain,(
% 287.36/36.56 nil=sk1|~spl0_3),
% 287.36/36.56 inference(component_clause,[status(thm)],[f448])).
% 287.36/36.56 fof(f451,plain,(
% 287.36/36.56 ~spl0_2|~spl0_3),
% 287.36/36.56 inference(split_clause,[status(thm)],[f437,f445,f448])).
% 287.36/36.56 fof(f467,plain,(
% 287.36/36.56 ![X0,X1]: (~ssList(X0)|~ssList(X1)|~ssList(app(X1,X0))|frontsegP(app(X1,X0),X1))),
% 287.36/36.56 inference(destructive_equality_resolution,[status(esa)],[f357])).
% 287.36/36.56 fof(f470,plain,(
% 287.36/36.56 ![X0,X1,X2]: (~ssList(X0)|~ssList(X1)|~ssList(X2)|~ssList(app(app(X1,X2),X0))|segmentP(app(app(X1,X2),X0),X2))),
% 287.36/36.56 inference(destructive_equality_resolution,[status(esa)],[f403])).
% 287.36/36.56 fof(f472,plain,(
% 287.36/36.56 ![X0,X1,X3]: (~frontsegP(X0,X1)|~ssList(X1)|~ssList(X0)|~ssItem(X3)|~ssItem(X3)|frontsegP(cons(X3,X0),cons(X3,X1)))),
% 287.36/36.56 inference(destructive_equality_resolution,[status(esa)],[f412])).
% 287.36/36.56 fof(f473,plain,(
% 287.36/36.56 ![X0,X1,X2]: (~frontsegP(X0,X1)|~ssList(X1)|~ssList(X0)|~ssItem(X2)|frontsegP(cons(X2,X0),cons(X2,X1)))),
% 287.36/36.56 inference(duplicate_literals_removal,[status(esa)],[f472])).
% 287.36/36.56 fof(f484,plain,(
% 287.36/36.56 frontsegP(sk2,sk3)),
% 287.36/36.56 inference(forward_demodulation,[status(thm)],[f431,f433])).
% 287.36/36.56 fof(f485,plain,(
% 287.36/36.56 frontsegP(sk2,sk1)),
% 287.36/36.56 inference(forward_demodulation,[status(thm)],[f432,f484])).
% 287.36/36.56 fof(f491,plain,(
% 287.36/36.56 ![X0]: (~ssList(X0)|~neq(sk1,X0)|~frontsegP(sk4,X0)|~segmentP(X0,sk3)|~strictorderedP(X0))),
% 287.36/36.56 inference(forward_demodulation,[status(thm)],[f432,f436])).
% 287.36/36.56 fof(f492,plain,(
% 287.36/36.56 ![X0]: (~ssList(X0)|~neq(sk1,X0)|~frontsegP(sk2,X0)|~segmentP(X0,sk3)|~strictorderedP(X0))),
% 287.36/36.56 inference(forward_demodulation,[status(thm)],[f431,f491])).
% 287.36/36.56 fof(f493,plain,(
% 287.36/36.56 ![X0]: (~ssList(X0)|~neq(sk1,X0)|~frontsegP(sk2,X0)|~segmentP(X0,sk1)|~strictorderedP(X0))),
% 287.36/36.56 inference(forward_demodulation,[status(thm)],[f432,f492])).
% 287.36/36.56 fof(f494,plain,(
% 287.36/36.56 spl0_4 <=> ssList(nil)),
% 287.36/36.56 introduced(split_symbol_definition)).
% 287.36/36.56 fof(f496,plain,(
% 287.36/36.56 ~ssList(nil)|spl0_4),
% 287.36/36.56 inference(component_clause,[status(thm)],[f494])).
% 287.36/36.56 fof(f504,plain,(
% 287.36/36.56 $false|spl0_4),
% 287.36/36.56 inference(forward_subsumption_resolution,[status(thm)],[f496,f204])).
% 287.36/36.56 fof(f505,plain,(
% 287.36/36.56 spl0_4),
% 287.36/36.56 inference(contradiction_clause,[status(thm)],[f504])).
% 287.36/36.56 fof(f530,plain,(
% 287.36/36.56 ![X0]: (~ssList(X0)|neq(sk1,X0)|sk1=X0)),
% 287.36/36.56 inference(resolution,[status(thm)],[f299,f427])).
% 287.36/36.56 fof(f531,plain,(
% 287.36/36.56 spl0_6 <=> ssList(sk2)),
% 287.36/36.56 introduced(split_symbol_definition)).
% 287.36/36.56 fof(f533,plain,(
% 287.36/36.56 ~ssList(sk2)|spl0_6),
% 287.36/36.56 inference(component_clause,[status(thm)],[f531])).
% 287.36/36.56 fof(f547,plain,(
% 287.36/36.56 $false|spl0_6),
% 287.36/36.56 inference(forward_subsumption_resolution,[status(thm)],[f533,f428])).
% 287.36/36.56 fof(f548,plain,(
% 287.36/36.56 spl0_6),
% 287.36/36.56 inference(contradiction_clause,[status(thm)],[f547])).
% 287.36/36.56 fof(f551,plain,(
% 287.36/36.56 spl0_10 <=> ssList(sk1)),
% 287.36/36.56 introduced(split_symbol_definition)).
% 287.36/36.56 fof(f553,plain,(
% 287.36/36.56 ~ssList(sk1)|spl0_10),
% 287.36/36.56 inference(component_clause,[status(thm)],[f551])).
% 287.36/36.56 fof(f554,plain,(
% 287.36/36.56 spl0_11 <=> segmentP(sk2,sk1)),
% 287.36/36.56 introduced(split_symbol_definition)).
% 287.36/36.56 fof(f557,plain,(
% 287.36/36.56 spl0_12 <=> segmentP(sk1,sk1)),
% 287.36/36.56 introduced(split_symbol_definition)).
% 287.36/36.56 fof(f560,plain,(
% 287.36/36.56 ~ssList(nil)|sk1=nil|~ssList(sk1)|~segmentP(sk2,sk1)|~segmentP(sk1,sk1)),
% 287.36/36.56 inference(resolution,[status(thm)],[f530,f435])).
% 287.36/36.56 fof(f561,plain,(
% 287.36/36.56 ~spl0_4|spl0_3|~spl0_10|~spl0_11|~spl0_12),
% 287.36/36.56 inference(split_clause,[status(thm)],[f560,f494,f448,f551,f554,f557])).
% 287.36/36.56 fof(f567,plain,(
% 287.36/36.56 $false|spl0_10),
% 287.36/36.56 inference(forward_subsumption_resolution,[status(thm)],[f553,f427])).
% 287.36/36.56 fof(f568,plain,(
% 287.36/36.56 spl0_10),
% 287.36/36.56 inference(contradiction_clause,[status(thm)],[f567])).
% 287.36/36.56 fof(f746,plain,(
% 287.36/36.56 ![X0]: (~ssList(X0)|neq(sk1,X0)|nil=X0|~spl0_3)),
% 287.36/36.56 inference(backward_demodulation,[status(thm)],[f449,f530])).
% 287.36/36.56 fof(f747,plain,(
% 287.36/36.56 ![X0]: (~ssList(X0)|neq(nil,X0)|nil=X0|~spl0_3)),
% 287.36/36.56 inference(forward_demodulation,[status(thm)],[f449,f746])).
% 287.36/36.56 fof(f873,plain,(
% 287.36/36.56 ![X0]: (~ssList(X0)|~neq(nil,X0)|~frontsegP(sk2,X0)|~segmentP(X0,sk1)|~strictorderedP(X0)|~spl0_3)),
% 287.36/36.56 inference(forward_demodulation,[status(thm)],[f449,f493])).
% 287.36/36.56 fof(f874,plain,(
% 287.36/36.56 ![X0]: (~ssList(X0)|~neq(nil,X0)|~frontsegP(sk2,X0)|~segmentP(X0,nil)|~strictorderedP(X0)|~spl0_3)),
% 287.36/36.56 inference(forward_demodulation,[status(thm)],[f449,f873])).
% 287.36/36.56 fof(f875,plain,(
% 287.36/36.56 ![X0]: (~ssList(X0)|~neq(nil,X0)|~frontsegP(sk2,X0)|~strictorderedP(X0)|~spl0_3)),
% 287.36/36.56 inference(forward_subsumption_resolution,[status(thm)],[f874,f252])).
% 287.36/36.56 fof(f876,plain,(
% 287.36/36.56 ![X0]: (~ssList(X0)|~frontsegP(sk2,X0)|~strictorderedP(X0)|~ssList(X0)|nil=X0|~spl0_3)),
% 287.36/36.56 inference(resolution,[status(thm)],[f875,f747])).
% 287.36/36.56 fof(f877,plain,(
% 287.36/36.56 ![X0]: (~ssList(X0)|~frontsegP(sk2,X0)|~strictorderedP(X0)|nil=X0|~spl0_3)),
% 287.36/36.56 inference(duplicate_literals_removal,[status(esa)],[f876])).
% 287.36/36.56 fof(f941,plain,(
% 287.36/36.56 ![X0]: (~ssList(cons(X0,nil))|~frontsegP(sk2,cons(X0,nil))|nil=cons(X0,nil)|~ssItem(X0)|~spl0_3)),
% 287.36/36.56 inference(resolution,[status(thm)],[f877,f262])).
% 287.36/36.56 fof(f1402,plain,(
% 287.36/36.56 app(sk2,nil)=sk2),
% 287.36/36.56 inference(resolution,[status(thm)],[f270,f428])).
% 287.36/36.56 fof(f1430,plain,(
% 287.36/36.56 spl0_111 <=> frontsegP(app(sk2,nil),sk2)),
% 287.36/36.56 introduced(split_symbol_definition)).
% 287.36/36.56 fof(f1431,plain,(
% 287.36/36.56 frontsegP(app(sk2,nil),sk2)|~spl0_111),
% 287.36/36.56 inference(component_clause,[status(thm)],[f1430])).
% 287.36/36.56 fof(f1433,plain,(
% 287.36/36.56 ~ssList(nil)|~ssList(sk2)|~ssList(sk2)|frontsegP(app(sk2,nil),sk2)),
% 287.36/36.56 inference(paramodulation,[status(thm)],[f1402,f467])).
% 287.36/36.56 fof(f1434,plain,(
% 287.36/36.56 ~spl0_4|~spl0_6|spl0_111),
% 287.36/36.56 inference(split_clause,[status(thm)],[f1433,f494,f531,f1430])).
% 287.36/36.56 fof(f1441,plain,(
% 287.36/36.56 frontsegP(sk2,sk2)|~spl0_111),
% 287.36/36.56 inference(forward_demodulation,[status(thm)],[f1402,f1431])).
% 287.36/36.56 fof(f1514,plain,(
% 287.36/36.56 spl0_121 <=> frontsegP(sk2,sk2)),
% 287.36/36.56 introduced(split_symbol_definition)).
% 287.36/36.56 fof(f2670,plain,(
% 287.36/36.56 ![X0,X1,X2]: (~ssList(X0)|~ssList(app(X1,X2))|~ssList(X0)|~ssList(X1)|~ssList(X2)|segmentP(app(app(X1,X2),X0),X2))),
% 287.36/36.56 inference(resolution,[status(thm)],[f282,f470])).
% 287.36/36.56 fof(f2671,plain,(
% 287.36/36.56 ![X0,X1,X2]: (~ssList(X0)|~ssList(app(X1,X2))|~ssList(X1)|~ssList(X2)|segmentP(app(app(X1,X2),X0),X2))),
% 287.36/36.56 inference(duplicate_literals_removal,[status(esa)],[f2670])).
% 287.36/36.56 fof(f2672,plain,(
% 287.36/36.56 ![X0,X1,X2]: (~ssList(X0)|~ssList(X1)|~ssList(X2)|segmentP(app(app(X1,X2),X0),X2))),
% 287.36/36.56 inference(forward_subsumption_resolution,[status(thm)],[f2671,f282])).
% 287.36/36.56 fof(f3158,plain,(
% 287.36/36.56 ![X0,X1]: (~ssList(X0)|~ssList(X1)|frontsegP(app(X1,X0),X1))),
% 287.36/36.56 inference(forward_subsumption_resolution,[status(thm)],[f467,f282])).
% 287.36/36.56 fof(f3651,plain,(
% 287.36/36.56 spl0_405 <=> ~ssItem(X0)|~frontsegP(sk2,cons(X0,nil))|nil=cons(X0,nil)|~ssItem(X0)),
% 287.36/36.56 introduced(split_symbol_definition)).
% 287.36/36.56 fof(f3652,plain,(
% 287.36/36.56 ![X0]: (~ssItem(X0)|~frontsegP(sk2,cons(X0,nil))|nil=cons(X0,nil)|~ssItem(X0)|~spl0_405)),
% 287.36/36.56 inference(component_clause,[status(thm)],[f3651])).
% 287.36/36.56 fof(f3654,plain,(
% 287.36/36.56 ![X0]: (~ssItem(X0)|~ssList(nil)|~frontsegP(sk2,cons(X0,nil))|nil=cons(X0,nil)|~ssItem(X0)|~spl0_3)),
% 287.36/36.56 inference(resolution,[status(thm)],[f283,f941])).
% 287.36/36.56 fof(f3655,plain,(
% 287.36/36.56 spl0_405|~spl0_4|~spl0_3),
% 287.36/36.56 inference(split_clause,[status(thm)],[f3654,f3651,f494,f448])).
% 287.36/36.56 fof(f3663,plain,(
% 287.36/36.56 ![X0]: (~ssItem(X0)|~frontsegP(sk2,cons(X0,nil))|nil=cons(X0,nil)|~spl0_405)),
% 287.36/36.56 inference(duplicate_literals_removal,[status(esa)],[f3652])).
% 287.36/36.56 fof(f5872,plain,(
% 287.36/36.56 spl0_605 <=> cons(hd(sk2),tl(sk2))=sk2),
% 287.36/36.56 introduced(split_symbol_definition)).
% 287.36/36.56 fof(f5873,plain,(
% 287.36/36.56 cons(hd(sk2),tl(sk2))=sk2|~spl0_605),
% 287.36/36.56 inference(component_clause,[status(thm)],[f5872])).
% 287.36/36.56 fof(f5875,plain,(
% 287.36/36.56 cons(hd(sk2),tl(sk2))=sk2|nil=sk2),
% 287.36/36.56 inference(resolution,[status(thm)],[f303,f428])).
% 287.36/36.56 fof(f5876,plain,(
% 287.36/36.56 spl0_605|spl0_2),
% 287.36/36.56 inference(split_clause,[status(thm)],[f5875,f5872,f445])).
% 287.36/36.56 fof(f5898,plain,(
% 287.36/36.56 spl0_607 <=> ssList(tl(sk2))),
% 287.36/36.56 introduced(split_symbol_definition)).
% 287.36/36.56 fof(f5899,plain,(
% 287.36/36.56 ssList(tl(sk2))|~spl0_607),
% 287.36/36.56 inference(component_clause,[status(thm)],[f5898])).
% 287.36/36.56 fof(f5907,plain,(
% 287.36/36.56 spl0_610 <=> ssItem(hd(sk2))),
% 287.36/36.56 introduced(split_symbol_definition)).
% 287.36/36.56 fof(f5908,plain,(
% 287.36/36.56 ssItem(hd(sk2))|~spl0_610),
% 287.36/36.56 inference(component_clause,[status(thm)],[f5907])).
% 287.36/36.56 fof(f5909,plain,(
% 287.36/36.56 ~ssItem(hd(sk2))|spl0_610),
% 287.36/36.56 inference(component_clause,[status(thm)],[f5907])).
% 287.36/36.56 fof(f5922,plain,(
% 287.36/36.56 spl0_613 <=> ~frontsegP(cons(X0,X1),sk2)|~ssList(X1)|~ssItem(X0)|frontsegP(X1,tl(sk2))),
% 287.36/36.56 introduced(split_symbol_definition)).
% 287.36/36.56 fof(f5923,plain,(
% 287.36/36.56 ![X0,X1]: (~frontsegP(cons(X0,X1),sk2)|~ssList(X1)|~ssItem(X0)|frontsegP(X1,tl(sk2))|~spl0_613)),
% 287.36/36.56 inference(component_clause,[status(thm)],[f5922])).
% 287.36/36.56 fof(f5925,plain,(
% 287.36/36.56 ![X0,X1]: (~frontsegP(cons(X0,X1),sk2)|~ssList(tl(sk2))|~ssList(X1)|~ssItem(hd(sk2))|~ssItem(X0)|frontsegP(X1,tl(sk2))|~spl0_605)),
% 287.36/36.56 inference(paramodulation,[status(thm)],[f5873,f405])).
% 287.36/36.56 fof(f5926,plain,(
% 287.36/36.56 spl0_613|~spl0_607|~spl0_610|~spl0_605),
% 287.36/36.56 inference(split_clause,[status(thm)],[f5925,f5922,f5898,f5907,f5872])).
% 287.36/36.56 fof(f5927,plain,(
% 287.36/36.56 spl0_614 <=> ~frontsegP(sk2,cons(X0,X1))|~ssList(X1)|~ssItem(X0)|frontsegP(tl(sk2),X1)),
% 287.36/36.56 introduced(split_symbol_definition)).
% 287.36/36.56 fof(f5928,plain,(
% 287.36/36.56 ![X0,X1]: (~frontsegP(sk2,cons(X0,X1))|~ssList(X1)|~ssItem(X0)|frontsegP(tl(sk2),X1)|~spl0_614)),
% 287.36/36.56 inference(component_clause,[status(thm)],[f5927])).
% 287.36/36.56 fof(f5930,plain,(
% 287.36/36.56 ![X0,X1]: (~frontsegP(sk2,cons(X0,X1))|~ssList(X1)|~ssList(tl(sk2))|~ssItem(X0)|~ssItem(hd(sk2))|frontsegP(tl(sk2),X1)|~spl0_605)),
% 287.36/36.56 inference(paramodulation,[status(thm)],[f5873,f405])).
% 287.36/36.56 fof(f5931,plain,(
% 287.36/36.56 spl0_614|~spl0_607|~spl0_610|~spl0_605),
% 287.36/36.56 inference(split_clause,[status(thm)],[f5930,f5927,f5898,f5907,f5872])).
% 287.36/36.56 fof(f5937,plain,(
% 287.36/36.56 spl0_616 <=> ~frontsegP(tl(sk2),X0)|~ssList(X0)|frontsegP(sk2,cons(hd(sk2),X0))),
% 287.36/36.56 introduced(split_symbol_definition)).
% 287.36/36.56 fof(f5938,plain,(
% 287.36/36.56 ![X0]: (~frontsegP(tl(sk2),X0)|~ssList(X0)|frontsegP(sk2,cons(hd(sk2),X0))|~spl0_616)),
% 287.36/36.56 inference(component_clause,[status(thm)],[f5937])).
% 287.36/36.56 fof(f5940,plain,(
% 287.36/36.56 ![X0]: (~frontsegP(tl(sk2),X0)|~ssList(X0)|~ssList(tl(sk2))|~ssItem(hd(sk2))|frontsegP(sk2,cons(hd(sk2),X0))|~spl0_605)),
% 287.36/36.56 inference(paramodulation,[status(thm)],[f5873,f473])).
% 287.36/36.56 fof(f5941,plain,(
% 287.36/36.56 spl0_616|~spl0_607|~spl0_610|~spl0_605),
% 287.36/36.56 inference(split_clause,[status(thm)],[f5940,f5937,f5898,f5907,f5872])).
% 287.36/36.56 fof(f5971,plain,(
% 287.36/36.56 ~ssList(sk2)|nil=sk2|spl0_610),
% 287.36/36.56 inference(resolution,[status(thm)],[f5909,f273])).
% 287.36/36.56 fof(f5972,plain,(
% 287.36/36.56 ~spl0_6|spl0_2|spl0_610),
% 287.36/36.56 inference(split_clause,[status(thm)],[f5971,f531,f445,f5907])).
% 287.36/36.56 fof(f5979,plain,(
% 287.36/36.56 ![X0]: (~cons(hd(sk2),X0)=X0|~ssList(X0)|~spl0_610)),
% 287.36/36.56 inference(resolution,[status(thm)],[f5908,f298])).
% 287.36/36.56 fof(f6028,plain,(
% 287.36/36.56 app(nil,tl(sk2))=tl(sk2)|~spl0_607),
% 287.36/36.56 inference(resolution,[status(thm)],[f5899,f271])).
% 287.36/36.56 fof(f6041,plain,(
% 287.36/36.56 spl0_625 <=> nil=cons(hd(sk2),nil)),
% 287.36/36.56 introduced(split_symbol_definition)).
% 287.36/36.56 fof(f6042,plain,(
% 287.36/36.56 nil=cons(hd(sk2),nil)|~spl0_625),
% 287.36/36.56 inference(component_clause,[status(thm)],[f6041])).
% 287.36/36.56 fof(f6250,plain,(
% 287.36/36.56 ~cons(hd(sk2),nil)=nil|~spl0_610),
% 287.36/36.56 inference(resolution,[status(thm)],[f5979,f204])).
% 287.36/36.56 fof(f6419,plain,(
% 287.36/36.56 spl0_658 <=> cons(skaf83(sk2),skaf82(sk2))=sk2),
% 287.36/36.56 introduced(split_symbol_definition)).
% 287.36/36.56 fof(f6420,plain,(
% 287.36/36.56 cons(skaf83(sk2),skaf82(sk2))=sk2|~spl0_658),
% 287.36/36.56 inference(component_clause,[status(thm)],[f6419])).
% 287.36/36.56 fof(f6422,plain,(
% 287.36/36.56 cons(skaf83(sk2),skaf82(sk2))=sk2|nil=sk2),
% 287.36/36.56 inference(resolution,[status(thm)],[f308,f428])).
% 287.36/36.56 fof(f6423,plain,(
% 287.36/36.56 spl0_658|spl0_2),
% 287.36/36.56 inference(split_clause,[status(thm)],[f6422,f6419,f445])).
% 287.36/36.56 fof(f6445,plain,(
% 287.36/36.56 spl0_660 <=> ssList(skaf82(sk2))),
% 287.36/36.56 introduced(split_symbol_definition)).
% 287.36/36.56 fof(f6447,plain,(
% 287.36/36.56 ~ssList(skaf82(sk2))|spl0_660),
% 287.36/36.56 inference(component_clause,[status(thm)],[f6445])).
% 287.36/36.56 fof(f6448,plain,(
% 287.36/36.56 spl0_661 <=> ssItem(skaf83(sk2))),
% 287.36/36.56 introduced(split_symbol_definition)).
% 287.36/36.56 fof(f6450,plain,(
% 287.36/36.56 ~ssItem(skaf83(sk2))|spl0_661),
% 287.36/36.56 inference(component_clause,[status(thm)],[f6448])).
% 287.36/36.56 fof(f6451,plain,(
% 287.36/36.56 spl0_662 <=> frontsegP(skaf82(sk2),tl(sk2))),
% 287.36/36.56 introduced(split_symbol_definition)).
% 287.36/36.56 fof(f6452,plain,(
% 287.36/36.56 frontsegP(skaf82(sk2),tl(sk2))|~spl0_662),
% 287.36/36.56 inference(component_clause,[status(thm)],[f6451])).
% 287.36/36.56 fof(f6454,plain,(
% 287.36/36.56 ~frontsegP(sk2,sk2)|~ssList(skaf82(sk2))|~ssItem(skaf83(sk2))|frontsegP(skaf82(sk2),tl(sk2))|~spl0_613|~spl0_658),
% 287.36/36.56 inference(paramodulation,[status(thm)],[f6420,f5923])).
% 287.36/36.56 fof(f6455,plain,(
% 287.36/36.56 ~spl0_121|~spl0_660|~spl0_661|spl0_662|~spl0_613|~spl0_658),
% 287.36/36.56 inference(split_clause,[status(thm)],[f6454,f1514,f6445,f6448,f6451,f5922,f6419])).
% 287.36/36.56 fof(f6513,plain,(
% 287.36/36.56 $false|spl0_661),
% 287.36/36.56 inference(forward_subsumption_resolution,[status(thm)],[f6450,f208])).
% 287.36/36.56 fof(f6514,plain,(
% 287.36/36.56 spl0_661),
% 287.36/36.56 inference(contradiction_clause,[status(thm)],[f6513])).
% 287.36/36.56 fof(f6515,plain,(
% 287.36/36.56 $false|spl0_660),
% 287.36/36.56 inference(forward_subsumption_resolution,[status(thm)],[f6447,f209])).
% 287.36/36.56 fof(f6516,plain,(
% 287.36/36.56 spl0_660),
% 287.36/36.56 inference(contradiction_clause,[status(thm)],[f6515])).
% 287.36/36.56 fof(f6591,plain,(
% 287.36/36.56 spl0_677 <=> frontsegP(tl(sk2),skaf82(sk2))),
% 287.36/36.56 introduced(split_symbol_definition)).
% 287.36/36.56 fof(f6594,plain,(
% 287.36/36.56 spl0_678 <=> skaf82(sk2)=tl(sk2)),
% 287.36/36.56 introduced(split_symbol_definition)).
% 287.36/36.56 fof(f6595,plain,(
% 287.36/36.56 skaf82(sk2)=tl(sk2)|~spl0_678),
% 287.36/36.56 inference(component_clause,[status(thm)],[f6594])).
% 287.36/36.56 fof(f6597,plain,(
% 287.36/36.56 ~frontsegP(tl(sk2),skaf82(sk2))|~ssList(tl(sk2))|~ssList(skaf82(sk2))|skaf82(sk2)=tl(sk2)|~spl0_662),
% 287.36/36.56 inference(resolution,[status(thm)],[f6452,f338])).
% 287.36/36.56 fof(f6598,plain,(
% 287.36/36.56 ~spl0_677|~spl0_607|~spl0_660|spl0_678|~spl0_662),
% 287.36/36.56 inference(split_clause,[status(thm)],[f6597,f6591,f5898,f6445,f6594,f6451])).
% 287.36/36.56 fof(f6609,plain,(
% 287.36/36.56 spl0_681 <=> frontsegP(tl(sk2),nil)),
% 287.36/36.56 introduced(split_symbol_definition)).
% 287.36/36.56 fof(f6610,plain,(
% 287.36/36.56 frontsegP(tl(sk2),nil)|~spl0_681),
% 287.36/36.56 inference(component_clause,[status(thm)],[f6609])).
% 287.36/36.56 fof(f6612,plain,(
% 287.36/36.56 ~ssList(tl(sk2))|~ssList(nil)|frontsegP(tl(sk2),nil)|~spl0_607),
% 287.36/36.56 inference(paramodulation,[status(thm)],[f6028,f3158])).
% 287.36/36.56 fof(f6613,plain,(
% 287.36/36.56 ~spl0_607|~spl0_4|spl0_681),
% 287.36/36.56 inference(split_clause,[status(thm)],[f6612,f5898,f494,f6609])).
% 287.36/36.56 fof(f6754,plain,(
% 287.36/36.56 ~frontsegP(sk2,sk2)|~ssList(skaf82(sk2))|~ssItem(skaf83(sk2))|frontsegP(tl(sk2),skaf82(sk2))|~spl0_614|~spl0_658),
% 287.36/36.56 inference(paramodulation,[status(thm)],[f6420,f5928])).
% 287.36/36.56 fof(f6755,plain,(
% 287.36/36.56 ~spl0_121|~spl0_660|~spl0_661|spl0_677|~spl0_614|~spl0_658),
% 287.36/36.56 inference(split_clause,[status(thm)],[f6754,f1514,f6445,f6448,f6591,f5927,f6419])).
% 287.36/36.56 fof(f6763,plain,(
% 287.36/36.56 frontsegP(skaf82(sk2),nil)|~spl0_678|~spl0_681),
% 287.36/36.56 inference(backward_demodulation,[status(thm)],[f6595,f6610])).
% 287.36/36.56 fof(f7534,plain,(
% 287.36/36.56 ![X0]: (~frontsegP(skaf82(sk2),X0)|~ssList(X0)|frontsegP(sk2,cons(hd(sk2),X0))|~spl0_678|~spl0_616)),
% 287.36/36.56 inference(forward_demodulation,[status(thm)],[f6595,f5938])).
% 287.36/36.56 fof(f7535,plain,(
% 287.36/36.56 spl0_742 <=> frontsegP(skaf82(sk2),nil)),
% 287.36/36.56 introduced(split_symbol_definition)).
% 287.36/36.56 fof(f7537,plain,(
% 287.36/36.56 ~frontsegP(skaf82(sk2),nil)|spl0_742),
% 287.36/36.56 inference(component_clause,[status(thm)],[f7535])).
% 287.36/36.56 fof(f7538,plain,(
% 287.36/36.56 ~frontsegP(skaf82(sk2),nil)|~ssList(nil)|~ssItem(hd(sk2))|nil=cons(hd(sk2),nil)|~spl0_678|~spl0_616|~spl0_405),
% 287.36/36.56 inference(resolution,[status(thm)],[f7534,f3663])).
% 287.36/36.56 fof(f7539,plain,(
% 287.36/36.56 ~spl0_742|~spl0_4|~spl0_610|spl0_625|~spl0_678|~spl0_616|~spl0_405),
% 287.36/36.56 inference(split_clause,[status(thm)],[f7538,f7535,f494,f5907,f6041,f6594,f5937,f3651])).
% 287.36/36.56 fof(f7557,plain,(
% 287.36/36.56 $false|~spl0_678|~spl0_681|spl0_742),
% 287.36/36.56 inference(forward_subsumption_resolution,[status(thm)],[f7537,f6763])).
% 287.36/36.56 fof(f7558,plain,(
% 287.36/36.56 ~spl0_678|~spl0_681|spl0_742),
% 287.36/36.56 inference(contradiction_clause,[status(thm)],[f7557])).
% 287.36/36.56 fof(f7559,plain,(
% 287.36/36.56 $false|~spl0_610|~spl0_625),
% 287.36/36.56 inference(forward_subsumption_resolution,[status(thm)],[f6042,f6250])).
% 287.36/36.56 fof(f7560,plain,(
% 287.36/36.56 ~spl0_610|~spl0_625),
% 287.36/36.56 inference(contradiction_clause,[status(thm)],[f7559])).
% 287.36/36.56 fof(f7918,plain,(
% 287.36/36.56 spl0_756 <=> app(sk1,skaf45(sk2,sk1))=sk2),
% 287.36/36.56 introduced(split_symbol_definition)).
% 287.36/36.56 fof(f7919,plain,(
% 287.36/36.56 app(sk1,skaf45(sk2,sk1))=sk2|~spl0_756),
% 287.36/36.56 inference(component_clause,[status(thm)],[f7918])).
% 287.36/36.56 fof(f7921,plain,(
% 287.36/36.56 ~ssList(sk1)|~ssList(sk2)|app(sk1,skaf45(sk2,sk1))=sk2),
% 287.36/36.56 inference(resolution,[status(thm)],[f485,f341])).
% 287.36/36.56 fof(f7922,plain,(
% 287.36/36.56 ~spl0_10|~spl0_6|spl0_756),
% 287.36/36.56 inference(split_clause,[status(thm)],[f7921,f551,f531,f7918])).
% 287.36/36.56 fof(f7923,plain,(
% 287.36/36.56 ![X0]: (~ssList(X0)|frontsegP(app(sk2,X0),sk2))),
% 287.36/36.56 inference(resolution,[status(thm)],[f3158,f428])).
% 287.36/36.56 fof(f7937,plain,(
% 287.36/36.56 ![X0]: (~ssList(X0)|frontsegP(app(sk1,X0),sk1))),
% 287.36/36.56 inference(resolution,[status(thm)],[f3158,f427])).
% 287.36/36.56 fof(f8180,plain,(
% 287.36/36.56 spl0_775 <=> app(sk2,skaf45(sk2,sk2))=sk2),
% 287.36/36.56 introduced(split_symbol_definition)).
% 287.36/36.56 fof(f8181,plain,(
% 287.36/36.56 app(sk2,skaf45(sk2,sk2))=sk2|~spl0_775),
% 287.36/36.56 inference(component_clause,[status(thm)],[f8180])).
% 287.36/36.56 fof(f8183,plain,(
% 287.36/36.56 ~ssList(sk2)|~ssList(sk2)|app(sk2,skaf45(sk2,sk2))=sk2|~spl0_111),
% 287.36/36.56 inference(resolution,[status(thm)],[f1441,f341])).
% 287.36/36.56 fof(f8184,plain,(
% 287.36/36.56 ~spl0_6|spl0_775|~spl0_111),
% 287.36/36.56 inference(split_clause,[status(thm)],[f8183,f531,f8180,f1430])).
% 287.36/36.56 fof(f8248,plain,(
% 287.36/36.56 spl0_781 <=> ssList(skaf45(sk2,sk1))),
% 287.36/36.56 introduced(split_symbol_definition)).
% 287.36/36.56 fof(f8250,plain,(
% 287.36/36.56 ~ssList(skaf45(sk2,sk1))|spl0_781),
% 287.36/36.56 inference(component_clause,[status(thm)],[f8248])).
% 287.36/36.56 fof(f8256,plain,(
% 287.36/36.56 $false|spl0_781),
% 287.36/36.56 inference(forward_subsumption_resolution,[status(thm)],[f8250,f247])).
% 287.36/36.56 fof(f8257,plain,(
% 287.36/36.56 spl0_781),
% 287.36/36.56 inference(contradiction_clause,[status(thm)],[f8256])).
% 287.36/36.56 fof(f8398,plain,(
% 287.36/36.56 app(nil,sk1)=sk1),
% 287.36/36.56 inference(resolution,[status(thm)],[f271,f427])).
% 287.36/36.56 fof(f8429,plain,(
% 287.36/36.56 app(sk1,nil)=sk1),
% 287.36/36.56 inference(resolution,[status(thm)],[f270,f427])).
% 287.36/36.56 fof(f8693,plain,(
% 287.36/36.56 spl0_822 <=> frontsegP(sk1,sk1)),
% 287.36/36.56 introduced(split_symbol_definition)).
% 287.36/36.56 fof(f8694,plain,(
% 287.36/36.56 frontsegP(sk1,sk1)|~spl0_822),
% 287.36/36.56 inference(component_clause,[status(thm)],[f8693])).
% 287.36/36.56 fof(f8696,plain,(
% 287.36/36.56 ~ssList(nil)|frontsegP(sk1,sk1)),
% 287.36/36.56 inference(paramodulation,[status(thm)],[f8429,f7937])).
% 287.36/36.56 fof(f8697,plain,(
% 287.36/36.56 ~spl0_4|spl0_822),
% 287.36/36.56 inference(split_clause,[status(thm)],[f8696,f494,f8693])).
% 287.36/36.56 fof(f8868,plain,(
% 287.36/36.56 spl0_827 <=> app(sk1,skaf45(sk1,sk1))=sk1),
% 287.36/36.56 introduced(split_symbol_definition)).
% 287.36/36.56 fof(f8869,plain,(
% 287.36/36.56 app(sk1,skaf45(sk1,sk1))=sk1|~spl0_827),
% 287.36/36.56 inference(component_clause,[status(thm)],[f8868])).
% 287.36/36.56 fof(f8871,plain,(
% 287.36/36.56 ~ssList(sk1)|~ssList(sk1)|app(sk1,skaf45(sk1,sk1))=sk1|~spl0_822),
% 287.36/36.56 inference(resolution,[status(thm)],[f8694,f341])).
% 287.36/36.56 fof(f8872,plain,(
% 287.36/36.56 ~spl0_10|spl0_827|~spl0_822),
% 287.36/36.56 inference(split_clause,[status(thm)],[f8871,f551,f8868,f8693])).
% 287.36/36.56 fof(f15491,plain,(
% 287.36/36.56 ssList(tl(sk2))|nil=sk2),
% 287.36/36.56 inference(resolution,[status(thm)],[f272,f428])).
% 287.36/36.56 fof(f15492,plain,(
% 287.36/36.56 spl0_607|spl0_2),
% 287.36/36.56 inference(split_clause,[status(thm)],[f15491,f5898,f445])).
% 287.36/36.56 fof(f28024,plain,(
% 287.36/36.56 spl0_1517 <=> ~ssList(X0)|segmentP(app(sk1,X0),sk1)),
% 287.36/36.56 introduced(split_symbol_definition)).
% 287.36/36.56 fof(f28025,plain,(
% 287.36/36.56 ![X0]: (~ssList(X0)|segmentP(app(sk1,X0),sk1)|~spl0_1517)),
% 287.36/36.56 inference(component_clause,[status(thm)],[f28024])).
% 287.36/36.56 fof(f28027,plain,(
% 287.36/36.56 ![X0]: (~ssList(X0)|~ssList(nil)|~ssList(sk1)|segmentP(app(sk1,X0),sk1))),
% 287.36/36.56 inference(paramodulation,[status(thm)],[f8398,f2672])).
% 287.36/36.56 fof(f28028,plain,(
% 287.36/36.56 spl0_1517|~spl0_4|~spl0_10),
% 287.36/36.56 inference(split_clause,[status(thm)],[f28027,f28024,f494,f551])).
% 287.36/36.56 fof(f34043,plain,(
% 287.36/36.56 spl0_1928 <=> ssList(skaf45(sk2,sk2))),
% 287.36/36.56 introduced(split_symbol_definition)).
% 287.36/36.56 fof(f34045,plain,(
% 287.36/36.56 ~ssList(skaf45(sk2,sk2))|spl0_1928),
% 287.36/36.56 inference(component_clause,[status(thm)],[f34043])).
% 287.36/36.56 fof(f34046,plain,(
% 287.36/36.56 ~ssList(skaf45(sk2,sk2))|frontsegP(sk2,sk2)|~spl0_775),
% 287.36/36.56 inference(paramodulation,[status(thm)],[f8181,f7923])).
% 287.36/36.56 fof(f34047,plain,(
% 287.36/36.56 ~spl0_1928|spl0_121|~spl0_775),
% 287.36/36.56 inference(split_clause,[status(thm)],[f34046,f34043,f1514,f8180])).
% 287.36/36.56 fof(f34073,plain,(
% 287.36/36.56 $false|spl0_1928),
% 287.36/36.56 inference(forward_subsumption_resolution,[status(thm)],[f34045,f247])).
% 287.36/36.56 fof(f34074,plain,(
% 287.36/36.56 spl0_1928),
% 287.36/36.56 inference(contradiction_clause,[status(thm)],[f34073])).
% 287.36/36.56 fof(f35537,plain,(
% 287.36/36.56 spl0_1992 <=> ssList(skaf45(sk1,sk1))),
% 287.36/36.56 introduced(split_symbol_definition)).
% 287.36/36.56 fof(f35539,plain,(
% 287.36/36.56 ~ssList(skaf45(sk1,sk1))|spl0_1992),
% 287.36/36.56 inference(component_clause,[status(thm)],[f35537])).
% 287.36/36.56 fof(f35559,plain,(
% 287.36/36.56 $false|spl0_1992),
% 288.16/36.66 inference(forward_subsumption_resolution,[status(thm)],[f35539,f247])).
% 288.16/36.66 fof(f35560,plain,(
% 288.16/36.66 spl0_1992),
% 288.16/36.66 inference(contradiction_clause,[status(thm)],[f35559])).
% 288.16/36.66 fof(f35561,plain,(
% 288.16/36.66 spl0_1994 <=> ssList(skaf46(sk2,nil))),
% 288.16/36.66 introduced(split_symbol_definition)).
% 288.16/36.66 fof(f35563,plain,(
% 288.16/36.66 ~ssList(skaf46(sk2,nil))|spl0_1994),
% 288.16/36.66 inference(component_clause,[status(thm)],[f35561])).
% 288.16/36.66 fof(f35575,plain,(
% 288.16/36.66 $false|spl0_1994),
% 288.16/36.66 inference(forward_subsumption_resolution,[status(thm)],[f35563,f246])).
% 288.16/36.66 fof(f35576,plain,(
% 288.16/36.66 spl0_1994),
% 288.16/36.66 inference(contradiction_clause,[status(thm)],[f35575])).
% 288.16/36.66 fof(f35612,plain,(
% 288.16/36.66 spl0_2001 <=> ssList(skaf46(nil,nil))),
% 288.16/36.66 introduced(split_symbol_definition)).
% 288.16/36.66 fof(f35614,plain,(
% 288.16/36.66 ~ssList(skaf46(nil,nil))|spl0_2001),
% 288.16/36.66 inference(component_clause,[status(thm)],[f35612])).
% 288.16/36.66 fof(f35626,plain,(
% 288.16/36.66 $false|spl0_2001),
% 288.16/36.66 inference(forward_subsumption_resolution,[status(thm)],[f35614,f246])).
% 288.16/36.66 fof(f35627,plain,(
% 288.16/36.66 spl0_2001),
% 288.16/36.66 inference(contradiction_clause,[status(thm)],[f35626])).
% 288.16/36.66 fof(f35658,plain,(
% 288.16/36.66 spl0_2007 <=> ssList(skaf46(sk1,nil))),
% 288.16/36.66 introduced(split_symbol_definition)).
% 288.16/36.66 fof(f35660,plain,(
% 288.16/36.66 ~ssList(skaf46(sk1,nil))|spl0_2007),
% 288.16/36.66 inference(component_clause,[status(thm)],[f35658])).
% 288.16/36.66 fof(f35672,plain,(
% 288.16/36.66 $false|spl0_2007),
% 288.16/36.66 inference(forward_subsumption_resolution,[status(thm)],[f35660,f246])).
% 288.16/36.66 fof(f35673,plain,(
% 288.16/36.66 spl0_2007),
% 288.16/36.66 inference(contradiction_clause,[status(thm)],[f35672])).
% 288.16/36.66 fof(f35879,plain,(
% 288.16/36.66 spl0_2017 <=> ssList(skaf46(sk2,sk2))),
% 288.16/36.66 introduced(split_symbol_definition)).
% 288.16/36.66 fof(f35881,plain,(
% 288.16/36.66 ~ssList(skaf46(sk2,sk2))|spl0_2017),
% 288.16/36.66 inference(component_clause,[status(thm)],[f35879])).
% 288.16/36.66 fof(f35900,plain,(
% 288.16/36.66 $false|spl0_2017),
% 288.16/36.66 inference(forward_subsumption_resolution,[status(thm)],[f35881,f246])).
% 288.16/36.66 fof(f35901,plain,(
% 288.16/36.66 spl0_2017),
% 288.16/36.66 inference(contradiction_clause,[status(thm)],[f35900])).
% 288.16/36.66 fof(f35946,plain,(
% 288.16/36.66 spl0_2025 <=> ssList(skaf46(sk1,sk1))),
% 288.16/36.66 introduced(split_symbol_definition)).
% 288.16/36.66 fof(f35948,plain,(
% 288.16/36.66 ~ssList(skaf46(sk1,sk1))|spl0_2025),
% 288.16/36.66 inference(component_clause,[status(thm)],[f35946])).
% 288.16/36.66 fof(f35962,plain,(
% 288.16/36.66 $false|spl0_2025),
% 288.16/36.66 inference(forward_subsumption_resolution,[status(thm)],[f35948,f246])).
% 288.16/36.66 fof(f35963,plain,(
% 288.16/36.66 spl0_2025),
% 288.16/36.66 inference(contradiction_clause,[status(thm)],[f35962])).
% 288.16/36.66 fof(f39678,plain,(
% 288.16/36.66 ~ssList(skaf45(sk1,sk1))|segmentP(sk1,sk1)|~spl0_1517|~spl0_827),
% 288.16/36.66 inference(paramodulation,[status(thm)],[f8869,f28025])).
% 288.16/36.66 fof(f39679,plain,(
% 288.16/36.66 ~spl0_1992|spl0_12|~spl0_1517|~spl0_827),
% 288.16/36.66 inference(split_clause,[status(thm)],[f39678,f35537,f557,f28024,f8868])).
% 288.16/36.66 fof(f39680,plain,(
% 288.16/36.66 ~ssList(skaf45(sk2,sk1))|segmentP(sk2,sk1)|~spl0_1517|~spl0_756),
% 288.16/36.66 inference(paramodulation,[status(thm)],[f7919,f28025])).
% 288.16/36.66 fof(f39681,plain,(
% 288.16/36.66 ~spl0_781|spl0_11|~spl0_1517|~spl0_756),
% 288.16/36.66 inference(split_clause,[status(thm)],[f39680,f8248,f554,f28024,f7918])).
% 288.16/36.66 fof(f39684,plain,(
% 288.16/36.66 $false),
% 288.16/36.66 inference(sat_refutation,[status(thm)],[f451,f505,f548,f561,f568,f1434,f3655,f5876,f5926,f5931,f5941,f5972,f6423,f6455,f6514,f6516,f6598,f6613,f6755,f7539,f7558,f7560,f7922,f8184,f8257,f8697,f8872,f15492,f28028,f34047,f34074,f35560,f35576,f35627,f35673,f35901,f35963,f39679,f39681])).
% 288.16/36.66 % SZS output end CNFRefutation for theBenchmark.p
% 289.15/37.12 % Elapsed time: 36.766307 seconds
% 289.15/37.12 % CPU time: 289.043804 seconds
% 289.15/37.12 % Memory used: 593.141 MB
%------------------------------------------------------------------------------