TSTP Solution File: SWC092+1 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SWC092+1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n026.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 12:39:12 EDT 2023
% Result : Theorem 0.10s 0.34s
% Output : CNFRefutation 0.10s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : SWC092+1 : TPTP v8.1.2. Released v2.4.0.
% 0.10/0.11 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.32 % Computer : n026.cluster.edu
% 0.10/0.32 % Model : x86_64 x86_64
% 0.10/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.32 % Memory : 8042.1875MB
% 0.10/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.32 % CPULimit : 300
% 0.10/0.32 % WCLimit : 300
% 0.10/0.32 % DateTime : Tue May 30 11:41:13 EDT 2023
% 0.10/0.32 % CPUTime :
% 0.10/0.33 % Drodi V3.5.1
% 0.10/0.34 % Refutation found
% 0.10/0.34 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.10/0.34 % SZS output start CNFRefutation for theBenchmark
% 0.10/0.34 fof(f2,axiom,(
% 0.10/0.34 (? [U] :( ssItem(U)& (? [V] :( ssItem(V)& U != V ) )) )),
% 0.10/0.34 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.34 fof(f7,axiom,(
% 0.10/0.34 (! [U] :( ssList(U)=> (! [V] :( ssList(V)=> ( segmentP(U,V)<=> (? [W] :( ssList(W)& (? [X] :( ssList(X)& app(app(W,V),X) = U ) )) )) ) )) )),
% 0.10/0.34 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.34 fof(f15,axiom,(
% 0.10/0.34 (! [U] :( ssList(U)=> (! [V] :( ssList(V)=> ( neq(U,V)<=> U != V ) ) )) )),
% 0.10/0.34 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.34 fof(f17,axiom,(
% 0.10/0.34 ssList(nil) ),
% 0.10/0.34 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.34 fof(f28,axiom,(
% 0.10/0.34 (! [U] :( ssList(U)=> app(nil,U) = U ) )),
% 0.10/0.34 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.34 fof(f55,axiom,(
% 0.10/0.34 (! [U] :( ssList(U)=> segmentP(U,U) ) )),
% 0.10/0.34 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.34 fof(f57,axiom,(
% 0.10/0.34 (! [U] :( ssList(U)=> segmentP(U,nil) ) )),
% 0.10/0.34 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.34 fof(f84,axiom,(
% 0.10/0.34 (! [U] :( ssList(U)=> app(U,nil) = U ) )),
% 0.10/0.34 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.34 fof(f96,conjecture,(
% 0.10/0.34 (! [U] :( ssList(U)=> (! [V] :( ssList(V)=> (! [W] :( ssList(W)=> (! [X] :( ssList(X)=> ( V != X| U != W| ~ neq(V,nil)| (? [Y] :( ssList(Y)& neq(Y,nil)& segmentP(V,Y)& segmentP(U,Y) ))| (! [Z] :( ssList(Z)=> ( app(W,Z) != X| ~ strictorderedP(W)| (? [X1] :( ssItem(X1)& (? [X2] :( ssList(X2)& app(cons(X1,nil),X2) = Z& (? [X3] :( ssItem(X3)& (? [X4] :( ssList(X4)& app(X4,cons(X3,nil)) = W& lt(X3,X1) ) )) )) )) )) ))| ( nil != X& nil = W ) ) ) )) )) )) )),
% 0.10/0.34 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.34 fof(f97,negated_conjecture,(
% 0.10/0.34 ~((! [U] :( ssList(U)=> (! [V] :( ssList(V)=> (! [W] :( ssList(W)=> (! [X] :( ssList(X)=> ( V != X| U != W| ~ neq(V,nil)| (? [Y] :( ssList(Y)& neq(Y,nil)& segmentP(V,Y)& segmentP(U,Y) ))| (! [Z] :( ssList(Z)=> ( app(W,Z) != X| ~ strictorderedP(W)| (? [X1] :( ssItem(X1)& (? [X2] :( ssList(X2)& app(cons(X1,nil),X2) = Z& (? [X3] :( ssItem(X3)& (? [X4] :( ssList(X4)& app(X4,cons(X3,nil)) = W& lt(X3,X1) ) )) )) )) )) ))| ( nil != X& nil = W ) ) ) )) )) )) ))),
% 0.10/0.34 inference(negated_conjecture,[status(cth)],[f96])).
% 0.10/0.34 fof(f102,plain,(
% 0.10/0.34 (ssItem(sk0_0)&(ssItem(sk0_1)&~sk0_0=sk0_1))),
% 0.10/0.34 inference(skolemization,[status(esa)],[f2])).
% 0.10/0.34 fof(f103,plain,(
% 0.10/0.34 ssItem(sk0_0)),
% 0.10/0.34 inference(cnf_transformation,[status(esa)],[f102])).
% 0.10/0.34 fof(f104,plain,(
% 0.10/0.34 ssItem(sk0_1)),
% 0.10/0.34 inference(cnf_transformation,[status(esa)],[f102])).
% 0.10/0.34 fof(f131,plain,(
% 0.10/0.34 ![U]: (~ssList(U)|(![V]: (~ssList(V)|(segmentP(U,V)<=>(?[W]: (ssList(W)&(?[X]: (ssList(X)&app(app(W,V),X)=U))))))))),
% 0.10/0.34 inference(pre_NNF_transformation,[status(esa)],[f7])).
% 0.10/0.34 fof(f132,plain,(
% 0.10/0.34 ![U]: (~ssList(U)|(![V]: (~ssList(V)|((~segmentP(U,V)|(?[W]: (ssList(W)&(?[X]: (ssList(X)&app(app(W,V),X)=U)))))&(segmentP(U,V)|(![W]: (~ssList(W)|(![X]: (~ssList(X)|~app(app(W,V),X)=U)))))))))),
% 0.10/0.34 inference(NNF_transformation,[status(esa)],[f131])).
% 0.10/0.34 fof(f133,plain,(
% 0.10/0.34 ![U]: (~ssList(U)|(![V]: (~ssList(V)|((~segmentP(U,V)|(ssList(sk0_7(V,U))&(ssList(sk0_8(V,U))&app(app(sk0_7(V,U),V),sk0_8(V,U))=U)))&(segmentP(U,V)|(![W]: (~ssList(W)|(![X]: (~ssList(X)|~app(app(W,V),X)=U)))))))))),
% 0.10/0.34 inference(skolemization,[status(esa)],[f132])).
% 0.10/0.34 fof(f137,plain,(
% 0.10/0.34 ![X0,X1,X2,X3]: (~ssList(X0)|~ssList(X1)|segmentP(X0,X1)|~ssList(X2)|~ssList(X3)|~app(app(X2,X1),X3)=X0)),
% 0.10/0.34 inference(cnf_transformation,[status(esa)],[f133])).
% 0.10/0.34 fof(f217,plain,(
% 0.10/0.34 ![U]: (~ssList(U)|(![V]: (~ssList(V)|(neq(U,V)<=>~U=V))))),
% 0.10/0.34 inference(pre_NNF_transformation,[status(esa)],[f15])).
% 0.10/0.34 fof(f218,plain,(
% 0.10/0.34 ![U]: (~ssList(U)|(![V]: (~ssList(V)|((~neq(U,V)|~U=V)&(neq(U,V)|U=V)))))),
% 0.10/0.34 inference(NNF_transformation,[status(esa)],[f217])).
% 0.10/0.34 fof(f220,plain,(
% 0.10/0.34 ![X0,X1]: (~ssList(X0)|~ssList(X1)|neq(X0,X1)|X0=X1)),
% 0.10/0.34 inference(cnf_transformation,[status(esa)],[f218])).
% 0.10/0.34 fof(f223,plain,(
% 0.10/0.34 ssList(nil)),
% 0.10/0.34 inference(cnf_transformation,[status(esa)],[f17])).
% 0.10/0.34 fof(f248,plain,(
% 0.10/0.34 ![U]: (~ssList(U)|app(nil,U)=U)),
% 0.10/0.34 inference(pre_NNF_transformation,[status(esa)],[f28])).
% 0.10/0.34 fof(f249,plain,(
% 0.10/0.34 ![X0]: (~ssList(X0)|app(nil,X0)=X0)),
% 0.10/0.34 inference(cnf_transformation,[status(esa)],[f248])).
% 0.10/0.34 fof(f318,plain,(
% 0.10/0.34 ![U]: (~ssList(U)|segmentP(U,U))),
% 0.10/0.34 inference(pre_NNF_transformation,[status(esa)],[f55])).
% 0.10/0.34 fof(f319,plain,(
% 0.10/0.34 ![X0]: (~ssList(X0)|segmentP(X0,X0))),
% 0.10/0.34 inference(cnf_transformation,[status(esa)],[f318])).
% 0.10/0.34 fof(f322,plain,(
% 0.10/0.34 ![U]: (~ssList(U)|segmentP(U,nil))),
% 0.10/0.34 inference(pre_NNF_transformation,[status(esa)],[f57])).
% 0.10/0.34 fof(f323,plain,(
% 0.10/0.34 ![X0]: (~ssList(X0)|segmentP(X0,nil))),
% 0.10/0.34 inference(cnf_transformation,[status(esa)],[f322])).
% 0.10/0.34 fof(f388,plain,(
% 0.10/0.34 ![U]: (~ssList(U)|app(U,nil)=U)),
% 0.10/0.34 inference(pre_NNF_transformation,[status(esa)],[f84])).
% 0.10/0.34 fof(f389,plain,(
% 0.10/0.34 ![X0]: (~ssList(X0)|app(X0,nil)=X0)),
% 0.10/0.34 inference(cnf_transformation,[status(esa)],[f388])).
% 0.10/0.34 fof(f415,plain,(
% 0.10/0.34 (?[U]: (ssList(U)&(?[V]: (ssList(V)&(?[W]: (ssList(W)&(?[X]: (ssList(X)&(((((V=X&U=W)&neq(V,nil))&(![Y]: (((~ssList(Y)|~neq(Y,nil))|~segmentP(V,Y))|~segmentP(U,Y))))&(?[Z]: (ssList(Z)&((app(W,Z)=X&strictorderedP(W))&(![X1]: (~ssItem(X1)|(![X2]: ((~ssList(X2)|~app(cons(X1,nil),X2)=Z)|(![X3]: (~ssItem(X3)|(![X4]: ((~ssList(X4)|~app(X4,cons(X3,nil))=W)|~lt(X3,X1)))))))))))))&(nil=X|~nil=W))))))))))),
% 0.10/0.34 inference(pre_NNF_transformation,[status(esa)],[f97])).
% 0.10/0.34 fof(f416,plain,(
% 0.10/0.34 ?[U]: (ssList(U)&(?[V]: (ssList(V)&(?[W]: (ssList(W)&(?[X]: (ssList(X)&(((((V=X&U=W)&neq(V,nil))&(![Y]: (((~ssList(Y)|~neq(Y,nil))|~segmentP(V,Y))|~segmentP(U,Y))))&(?[Z]: (ssList(Z)&((app(W,Z)=X&strictorderedP(W))&(![X1]: (~ssItem(X1)|((![X2]: (~ssList(X2)|~app(cons(X1,nil),X2)=Z))|(![X3]: (~ssItem(X3)|((![X4]: (~ssList(X4)|~app(X4,cons(X3,nil))=W))|~lt(X3,X1)))))))))))&(nil=X|~nil=W)))))))))),
% 0.10/0.34 inference(miniscoping,[status(esa)],[f415])).
% 0.10/0.34 fof(f417,plain,(
% 0.10/0.34 (ssList(sk0_47)&(ssList(sk0_48)&(ssList(sk0_49)&(ssList(sk0_50)&(((((sk0_48=sk0_50&sk0_47=sk0_49)&neq(sk0_48,nil))&(![Y]: (((~ssList(Y)|~neq(Y,nil))|~segmentP(sk0_48,Y))|~segmentP(sk0_47,Y))))&(ssList(sk0_51)&((app(sk0_49,sk0_51)=sk0_50&strictorderedP(sk0_49))&(![X1]: (~ssItem(X1)|((![X2]: (~ssList(X2)|~app(cons(X1,nil),X2)=sk0_51))|(![X3]: (~ssItem(X3)|((![X4]: (~ssList(X4)|~app(X4,cons(X3,nil))=sk0_49))|~lt(X3,X1))))))))))&(nil=sk0_50|~nil=sk0_49))))))),
% 0.10/0.34 inference(skolemization,[status(esa)],[f416])).
% 0.10/0.34 fof(f418,plain,(
% 0.10/0.34 ssList(sk0_47)),
% 0.10/0.34 inference(cnf_transformation,[status(esa)],[f417])).
% 0.10/0.34 fof(f419,plain,(
% 0.10/0.34 ssList(sk0_48)),
% 0.10/0.34 inference(cnf_transformation,[status(esa)],[f417])).
% 0.10/0.34 fof(f422,plain,(
% 0.10/0.34 sk0_48=sk0_50),
% 0.10/0.34 inference(cnf_transformation,[status(esa)],[f417])).
% 0.10/0.34 fof(f423,plain,(
% 0.10/0.34 sk0_47=sk0_49),
% 0.10/0.34 inference(cnf_transformation,[status(esa)],[f417])).
% 0.10/0.34 fof(f424,plain,(
% 0.10/0.34 neq(sk0_48,nil)),
% 0.10/0.34 inference(cnf_transformation,[status(esa)],[f417])).
% 0.10/0.34 fof(f425,plain,(
% 0.10/0.34 ![X0]: (~ssList(X0)|~neq(X0,nil)|~segmentP(sk0_48,X0)|~segmentP(sk0_47,X0))),
% 0.10/0.34 inference(cnf_transformation,[status(esa)],[f417])).
% 0.10/0.34 fof(f426,plain,(
% 0.10/0.34 ssList(sk0_51)),
% 0.10/0.34 inference(cnf_transformation,[status(esa)],[f417])).
% 0.10/0.34 fof(f427,plain,(
% 0.10/0.34 app(sk0_49,sk0_51)=sk0_50),
% 0.10/0.34 inference(cnf_transformation,[status(esa)],[f417])).
% 0.10/0.34 fof(f430,plain,(
% 0.10/0.34 nil=sk0_50|~nil=sk0_49),
% 0.10/0.34 inference(cnf_transformation,[status(esa)],[f417])).
% 0.10/0.34 fof(f431,plain,(
% 0.10/0.34 spl0_0 <=> nil=sk0_50),
% 0.10/0.34 introduced(split_symbol_definition)).
% 0.10/0.34 fof(f432,plain,(
% 0.10/0.34 nil=sk0_50|~spl0_0),
% 0.10/0.34 inference(component_clause,[status(thm)],[f431])).
% 0.10/0.34 fof(f434,plain,(
% 0.10/0.34 spl0_1 <=> nil=sk0_49),
% 0.10/0.34 introduced(split_symbol_definition)).
% 0.10/0.34 fof(f436,plain,(
% 0.10/0.34 ~nil=sk0_49|spl0_1),
% 0.10/0.34 inference(component_clause,[status(thm)],[f434])).
% 0.10/0.34 fof(f437,plain,(
% 0.10/0.34 spl0_0|~spl0_1),
% 0.10/0.34 inference(split_clause,[status(thm)],[f430,f431,f434])).
% 0.10/0.34 fof(f444,plain,(
% 0.10/0.34 ![X0,X1,X2]: (~ssList(app(app(X0,X1),X2))|~ssList(X1)|segmentP(app(app(X0,X1),X2),X1)|~ssList(X0)|~ssList(X2))),
% 0.10/0.34 inference(destructive_equality_resolution,[status(esa)],[f137])).
% 0.10/0.34 fof(f477,plain,(
% 0.10/0.34 ~nil=sk0_47|spl0_1),
% 0.10/0.34 inference(forward_demodulation,[status(thm)],[f423,f436])).
% 0.10/0.34 fof(f478,plain,(
% 0.10/0.34 app(sk0_47,sk0_51)=sk0_50),
% 0.10/0.34 inference(forward_demodulation,[status(thm)],[f423,f427])).
% 0.10/0.34 fof(f479,plain,(
% 0.10/0.34 app(sk0_47,sk0_51)=sk0_48),
% 0.10/0.34 inference(forward_demodulation,[status(thm)],[f422,f478])).
% 0.10/0.34 fof(f483,plain,(
% 0.10/0.34 spl0_3 <=> ssList(sk0_51)),
% 0.10/0.34 introduced(split_symbol_definition)).
% 0.10/0.34 fof(f485,plain,(
% 0.10/0.34 ~ssList(sk0_51)|spl0_3),
% 0.10/0.34 inference(component_clause,[status(thm)],[f483])).
% 0.10/0.34 fof(f486,plain,(
% 0.10/0.34 spl0_4 <=> ssList(sk0_47)),
% 0.10/0.34 introduced(split_symbol_definition)).
% 0.10/0.34 fof(f488,plain,(
% 0.10/0.34 ~ssList(sk0_47)|spl0_4),
% 0.10/0.34 inference(component_clause,[status(thm)],[f486])).
% 0.10/0.34 fof(f491,plain,(
% 0.10/0.34 $false|spl0_4),
% 0.10/0.34 inference(forward_subsumption_resolution,[status(thm)],[f488,f418])).
% 0.10/0.34 fof(f492,plain,(
% 0.10/0.34 spl0_4),
% 0.10/0.34 inference(contradiction_clause,[status(thm)],[f491])).
% 0.10/0.34 fof(f493,plain,(
% 0.10/0.34 $false|spl0_3),
% 0.10/0.34 inference(forward_subsumption_resolution,[status(thm)],[f485,f426])).
% 0.10/0.34 fof(f494,plain,(
% 0.10/0.34 spl0_3),
% 0.10/0.34 inference(contradiction_clause,[status(thm)],[f493])).
% 0.10/0.34 fof(f507,plain,(
% 0.10/0.34 spl0_8 <=> neq(sk0_47,nil)),
% 0.10/0.34 introduced(split_symbol_definition)).
% 0.10/0.34 fof(f509,plain,(
% 0.10/0.34 ~neq(sk0_47,nil)|spl0_8),
% 0.10/0.34 inference(component_clause,[status(thm)],[f507])).
% 0.10/0.34 fof(f510,plain,(
% 0.10/0.34 spl0_9 <=> segmentP(sk0_48,sk0_47)),
% 0.10/0.34 introduced(split_symbol_definition)).
% 0.10/0.34 fof(f513,plain,(
% 0.10/0.34 ~ssList(sk0_47)|~neq(sk0_47,nil)|~segmentP(sk0_48,sk0_47)|~ssList(sk0_47)),
% 0.10/0.34 inference(resolution,[status(thm)],[f425,f319])).
% 0.10/0.34 fof(f514,plain,(
% 0.10/0.34 ~spl0_4|~spl0_8|~spl0_9),
% 0.10/0.34 inference(split_clause,[status(thm)],[f513,f486,f507,f510])).
% 0.10/0.34 fof(f516,plain,(
% 0.10/0.34 spl0_10 <=> ssList(nil)),
% 0.10/0.34 introduced(split_symbol_definition)).
% 0.10/0.34 fof(f518,plain,(
% 0.10/0.34 ~ssList(nil)|spl0_10),
% 0.10/0.34 inference(component_clause,[status(thm)],[f516])).
% 0.10/0.34 fof(f519,plain,(
% 0.10/0.34 spl0_11 <=> neq(nil,nil)),
% 0.10/0.34 introduced(split_symbol_definition)).
% 0.10/0.34 fof(f521,plain,(
% 0.10/0.34 ~neq(nil,nil)|spl0_11),
% 0.10/0.34 inference(component_clause,[status(thm)],[f519])).
% 0.10/0.34 fof(f522,plain,(
% 0.10/0.34 spl0_12 <=> segmentP(sk0_48,nil)),
% 0.10/0.34 introduced(split_symbol_definition)).
% 0.10/0.34 fof(f524,plain,(
% 0.10/0.34 ~segmentP(sk0_48,nil)|spl0_12),
% 0.10/0.34 inference(component_clause,[status(thm)],[f522])).
% 0.10/0.34 fof(f525,plain,(
% 0.10/0.34 ~ssList(sk0_47)|~ssList(nil)|~neq(nil,nil)|~segmentP(sk0_48,nil)),
% 0.10/0.34 inference(resolution,[status(thm)],[f323,f425])).
% 0.10/0.34 fof(f526,plain,(
% 0.10/0.34 ~spl0_4|~spl0_10|~spl0_11|~spl0_12),
% 0.10/0.34 inference(split_clause,[status(thm)],[f525,f486,f516,f519,f522])).
% 0.10/0.34 fof(f536,plain,(
% 0.10/0.34 ~ssList(sk0_48)|spl0_12),
% 0.10/0.34 inference(resolution,[status(thm)],[f524,f323])).
% 0.10/0.34 fof(f537,plain,(
% 0.10/0.34 $false|spl0_12),
% 0.10/0.34 inference(forward_subsumption_resolution,[status(thm)],[f536,f419])).
% 0.10/0.34 fof(f538,plain,(
% 0.10/0.34 spl0_12),
% 0.10/0.34 inference(contradiction_clause,[status(thm)],[f537])).
% 0.10/0.34 fof(f539,plain,(
% 0.10/0.34 $false|spl0_10),
% 0.10/0.34 inference(forward_subsumption_resolution,[status(thm)],[f518,f223])).
% 0.10/0.34 fof(f540,plain,(
% 0.10/0.34 spl0_10),
% 0.10/0.34 inference(contradiction_clause,[status(thm)],[f539])).
% 0.10/0.34 fof(f550,plain,(
% 0.10/0.34 app(nil,sk0_47)=sk0_47),
% 0.10/0.34 inference(resolution,[status(thm)],[f249,f418])).
% 0.10/0.34 fof(f565,plain,(
% 0.10/0.34 spl0_16 <=> ~ssList(app(sk0_47,X0))|segmentP(app(app(nil,sk0_47),X0),sk0_47)|~ssList(X0)),
% 0.10/0.34 introduced(split_symbol_definition)).
% 0.10/0.34 fof(f566,plain,(
% 0.10/0.34 ![X0]: (~ssList(app(sk0_47,X0))|segmentP(app(app(nil,sk0_47),X0),sk0_47)|~ssList(X0)|~spl0_16)),
% 0.10/0.34 inference(component_clause,[status(thm)],[f565])).
% 0.10/0.34 fof(f568,plain,(
% 0.10/0.34 ![X0]: (~ssList(app(sk0_47,X0))|~ssList(sk0_47)|segmentP(app(app(nil,sk0_47),X0),sk0_47)|~ssList(nil)|~ssList(X0))),
% 0.10/0.34 inference(paramodulation,[status(thm)],[f550,f444])).
% 0.10/0.34 fof(f569,plain,(
% 0.10/0.34 spl0_16|~spl0_4|~spl0_10),
% 0.10/0.34 inference(split_clause,[status(thm)],[f568,f565,f486,f516])).
% 0.10/0.34 fof(f570,plain,(
% 0.10/0.34 ![X0]: (~ssList(app(sk0_47,X0))|segmentP(app(sk0_47,X0),sk0_47)|~ssList(X0)|~spl0_16)),
% 0.10/0.34 inference(forward_demodulation,[status(thm)],[f550,f566])).
% 0.10/0.34 fof(f571,plain,(
% 0.10/0.34 spl0_17 <=> ssList(app(sk0_47,sk0_51))),
% 0.10/0.34 introduced(split_symbol_definition)).
% 0.10/0.34 fof(f573,plain,(
% 0.10/0.34 ~ssList(app(sk0_47,sk0_51))|spl0_17),
% 0.10/0.34 inference(component_clause,[status(thm)],[f571])).
% 0.10/0.34 fof(f574,plain,(
% 0.10/0.34 ~ssList(app(sk0_47,sk0_51))|segmentP(sk0_48,sk0_47)|~ssList(sk0_51)|~spl0_16),
% 0.10/0.34 inference(paramodulation,[status(thm)],[f479,f570])).
% 0.10/0.34 fof(f575,plain,(
% 0.10/0.34 ~spl0_17|spl0_9|~spl0_3|~spl0_16),
% 0.10/0.34 inference(split_clause,[status(thm)],[f574,f571,f510,f483,f565])).
% 0.10/0.34 fof(f576,plain,(
% 0.10/0.34 ~ssList(sk0_48)|spl0_17),
% 0.10/0.34 inference(forward_demodulation,[status(thm)],[f479,f573])).
% 0.10/0.34 fof(f577,plain,(
% 0.10/0.34 $false|spl0_17),
% 0.10/0.34 inference(forward_subsumption_resolution,[status(thm)],[f576,f419])).
% 0.10/0.34 fof(f578,plain,(
% 0.10/0.34 spl0_17),
% 0.10/0.34 inference(contradiction_clause,[status(thm)],[f577])).
% 0.10/0.34 fof(f593,plain,(
% 0.10/0.34 app(sk0_51,nil)=sk0_51),
% 0.10/0.34 inference(resolution,[status(thm)],[f389,f426])).
% 0.10/0.34 fof(f595,plain,(
% 0.10/0.34 app(sk0_48,nil)=sk0_48),
% 0.10/0.34 inference(resolution,[status(thm)],[f389,f419])).
% 0.10/0.34 fof(f596,plain,(
% 0.10/0.34 app(sk0_47,nil)=sk0_47),
% 0.10/0.34 inference(resolution,[status(thm)],[f389,f418])).
% 0.10/0.34 fof(f597,plain,(
% 0.10/0.34 spl0_20 <=> ssList(app(sk0_51,nil))),
% 0.10/0.34 introduced(split_symbol_definition)).
% 0.10/0.34 fof(f599,plain,(
% 0.10/0.34 ~ssList(app(sk0_51,nil))|spl0_20),
% 0.10/0.34 inference(component_clause,[status(thm)],[f597])).
% 0.10/0.34 fof(f610,plain,(
% 0.10/0.34 ~ssList(sk0_51)|spl0_20),
% 0.10/0.34 inference(forward_demodulation,[status(thm)],[f593,f599])).
% 0.10/0.34 fof(f611,plain,(
% 0.10/0.34 $false|spl0_20),
% 0.10/0.34 inference(forward_subsumption_resolution,[status(thm)],[f610,f426])).
% 0.10/0.34 fof(f612,plain,(
% 0.10/0.34 spl0_20),
% 0.10/0.34 inference(contradiction_clause,[status(thm)],[f611])).
% 0.10/0.34 fof(f615,plain,(
% 0.10/0.34 spl0_23 <=> ssList(app(sk0_48,nil))),
% 0.10/0.34 introduced(split_symbol_definition)).
% 0.10/0.34 fof(f617,plain,(
% 0.10/0.34 ~ssList(app(sk0_48,nil))|spl0_23),
% 0.10/0.34 inference(component_clause,[status(thm)],[f615])).
% 0.10/0.34 fof(f633,plain,(
% 0.10/0.34 ~ssList(sk0_48)|spl0_23),
% 0.10/0.34 inference(forward_demodulation,[status(thm)],[f595,f617])).
% 0.10/0.34 fof(f634,plain,(
% 0.10/0.34 $false|spl0_23),
% 0.10/0.34 inference(forward_subsumption_resolution,[status(thm)],[f633,f419])).
% 0.10/0.34 fof(f635,plain,(
% 0.10/0.34 spl0_23),
% 0.10/0.34 inference(contradiction_clause,[status(thm)],[f634])).
% 0.10/0.34 fof(f648,plain,(
% 0.10/0.34 spl0_29 <=> ssList(app(sk0_47,nil))),
% 0.10/0.34 introduced(split_symbol_definition)).
% 0.10/0.34 fof(f650,plain,(
% 0.10/0.34 ~ssList(app(sk0_47,nil))|spl0_29),
% 0.10/0.34 inference(component_clause,[status(thm)],[f648])).
% 0.10/0.34 fof(f658,plain,(
% 0.10/0.34 ~ssList(sk0_47)|spl0_29),
% 0.10/0.34 inference(forward_demodulation,[status(thm)],[f596,f650])).
% 0.10/0.34 fof(f659,plain,(
% 0.10/0.34 $false|spl0_29),
% 0.10/0.34 inference(forward_subsumption_resolution,[status(thm)],[f658,f418])).
% 0.10/0.34 fof(f660,plain,(
% 0.10/0.34 spl0_29),
% 0.10/0.34 inference(contradiction_clause,[status(thm)],[f659])).
% 0.10/0.34 fof(f668,plain,(
% 0.10/0.34 ![X0]: (~ssList(X0)|neq(X0,nil)|X0=nil)),
% 0.10/0.34 inference(resolution,[status(thm)],[f220,f223])).
% 0.10/0.34 fof(f707,plain,(
% 0.10/0.34 spl0_35 <=> ssItem(sk0_0)),
% 0.10/0.34 introduced(split_symbol_definition)).
% 0.10/0.34 fof(f709,plain,(
% 0.10/0.34 ~ssItem(sk0_0)|spl0_35),
% 0.10/0.34 inference(component_clause,[status(thm)],[f707])).
% 0.10/0.34 fof(f720,plain,(
% 0.10/0.34 $false|spl0_35),
% 0.10/0.34 inference(forward_subsumption_resolution,[status(thm)],[f709,f103])).
% 0.10/0.34 fof(f721,plain,(
% 0.10/0.34 spl0_35),
% 0.10/0.34 inference(contradiction_clause,[status(thm)],[f720])).
% 0.10/0.34 fof(f736,plain,(
% 0.10/0.34 spl0_38 <=> ssItem(sk0_1)),
% 0.10/0.34 introduced(split_symbol_definition)).
% 0.10/0.34 fof(f738,plain,(
% 0.10/0.34 ~ssItem(sk0_1)|spl0_38),
% 0.10/0.34 inference(component_clause,[status(thm)],[f736])).
% 0.10/0.34 fof(f749,plain,(
% 0.10/0.34 $false|spl0_38),
% 0.10/0.34 inference(forward_subsumption_resolution,[status(thm)],[f738,f104])).
% 0.10/0.34 fof(f750,plain,(
% 0.10/0.34 spl0_38),
% 0.10/0.34 inference(contradiction_clause,[status(thm)],[f749])).
% 0.10/0.34 fof(f758,plain,(
% 0.10/0.34 spl0_42 <=> sk0_47=nil),
% 0.10/0.34 introduced(split_symbol_definition)).
% 0.10/0.34 fof(f759,plain,(
% 0.10/0.34 sk0_47=nil|~spl0_42),
% 0.10/0.34 inference(component_clause,[status(thm)],[f758])).
% 0.10/0.34 fof(f761,plain,(
% 0.10/0.34 ~ssList(sk0_47)|sk0_47=nil|spl0_8),
% 0.10/0.34 inference(resolution,[status(thm)],[f668,f509])).
% 0.10/0.34 fof(f762,plain,(
% 0.10/0.34 ~spl0_4|spl0_42|spl0_8),
% 0.10/0.34 inference(split_clause,[status(thm)],[f761,f486,f758,f507])).
% 0.10/0.34 fof(f765,plain,(
% 0.10/0.34 $false|spl0_1|~spl0_42),
% 0.10/0.34 inference(forward_subsumption_resolution,[status(thm)],[f759,f477])).
% 0.10/0.34 fof(f766,plain,(
% 0.10/0.34 spl0_1|~spl0_42),
% 0.10/0.34 inference(contradiction_clause,[status(thm)],[f765])).
% 0.10/0.34 fof(f767,plain,(
% 0.10/0.34 nil=sk0_48|~spl0_0),
% 0.10/0.34 inference(forward_demodulation,[status(thm)],[f422,f432])).
% 0.10/0.34 fof(f809,plain,(
% 0.10/0.34 neq(nil,nil)|~spl0_0),
% 0.10/0.34 inference(backward_demodulation,[status(thm)],[f767,f424])).
% 0.10/0.34 fof(f810,plain,(
% 0.10/0.34 $false|spl0_11|~spl0_0),
% 0.10/0.34 inference(forward_subsumption_resolution,[status(thm)],[f809,f521])).
% 0.10/0.34 fof(f811,plain,(
% 0.10/0.34 spl0_11|~spl0_0),
% 0.10/0.34 inference(contradiction_clause,[status(thm)],[f810])).
% 0.10/0.34 fof(f812,plain,(
% 0.10/0.34 $false),
% 0.10/0.34 inference(sat_refutation,[status(thm)],[f437,f492,f494,f514,f526,f538,f540,f569,f575,f578,f612,f635,f660,f721,f750,f762,f766,f811])).
% 0.10/0.35 % SZS output end CNFRefutation for theBenchmark.p
% 0.17/0.56 % Elapsed time: 0.024007 seconds
% 0.17/0.56 % CPU time: 0.074970 seconds
% 0.17/0.56 % Memory used: 16.384 MB
%------------------------------------------------------------------------------