%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SWC112+1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n005.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 02:41:37 PM UTC 2026
% Result : Theorem 0.08s 0.45s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWC112+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.36 % Computer : n005.cluster.edu
% 0.08/0.36 % Model : x86_64 x86_64
% 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36 % Memory : 8046.5625MB
% 0.08/0.36 % OS : Linux 6.8.0-71-generic
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Mon Sep 21 07:56:18 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.38 % Drodi V4.1.1
% 0.08/0.45 % Refutation found
% 0.08/0.45 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.08/0.45 % SZS output start CNFRefutation for theBenchmark
% 0.08/0.45 fof(f2,axiom,(
% 0.08/0.45 (? [U] :( ssItem(U)& (? [V] :( ssItem(V)& U != V ) )) )),
% 0.08/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.08/0.45 fof(f4,axiom,(
% 0.08/0.45 (! [U] :( ssList(U)=> ( singletonP(U)<=> (? [V] :( ssItem(V)& cons(V,nil) = U ) )) ) )),
% 0.08/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.08/0.45 fof(f5,axiom,(
% 0.08/0.45 (! [U] :( ssList(U)=> (! [V] :( ssList(V)=> ( frontsegP(U,V)<=> (? [W] :( ssList(W)& app(V,W) = U ) )) ) )) )),
% 0.08/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.08/0.45 fof(f6,axiom,(
% 0.08/0.45 (! [U] :( ssList(U)=> (! [V] :( ssList(V)=> ( rearsegP(U,V)<=> (? [W] :( ssList(W)& app(W,V) = U ) )) ) )) )),
% 0.08/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.08/0.45 fof(f7,axiom,(
% 0.08/0.45 (! [U] :( ssList(U)=> (! [V] :( ssList(V)=> ( segmentP(U,V)<=> (? [W] :( ssList(W)& (? [X] :( ssList(X)& app(app(W,V),X) = U ) )) )) ) )) )),
% 0.08/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.08/0.45 fof(f15,axiom,(
% 0.08/0.45 (! [U] :( ssList(U)=> (! [V] :( ssList(V)=> ( neq(U,V)<=> U != V ) ) )) )),
% 0.08/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.08/0.45 fof(f16,axiom,(
% 0.08/0.45 (! [U] :( ssList(U)=> (! [V] :( ssItem(V)=> ssList(cons(V,U)) ) )) )),
% 0.08/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.08/0.45 fof(f17,axiom,(
% 0.08/0.45 ssList(nil) ),
% 0.08/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.08/0.45 fof(f28,axiom,(
% 0.08/0.45 (! [U] :( ssList(U)=> app(nil,U) = U ) )),
% 0.08/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.08/0.45 fof(f45,axiom,(
% 0.08/0.45 (! [U] :( ssList(U)=> frontsegP(U,nil) ) )),
% 0.08/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.08/0.45 fof(f51,axiom,(
% 0.08/0.45 (! [U] :( ssList(U)=> rearsegP(U,nil) ) )),
% 0.08/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.08/0.45 fof(f53,axiom,(
% 0.08/0.45 (! [U] :( ssList(U)=> (! [V] :( ssList(V)=> (! [W] :( ssList(W)=> ( ( segmentP(U,V)& segmentP(V,W) )=> segmentP(U,W) ) ) )) )) )),
% 0.08/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.08/0.45 fof(f54,axiom,(
% 0.08/0.45 (! [U] :( ssList(U)=> (! [V] :( ssList(V)=> ( ( segmentP(U,V)& segmentP(V,U) )=> U = V ) ) )) )),
% 0.08/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.08/0.45 fof(f57,axiom,(
% 0.08/0.45 (! [U] :( ssList(U)=> segmentP(U,nil) ) )),
% 0.08/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.08/0.45 fof(f84,axiom,(
% 0.08/0.45 (! [U] :( ssList(U)=> app(U,nil) = U ) )),
% 0.08/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.08/0.45 fof(f96,conjecture,(
% 0.08/0.45 (! [U] :( ssList(U)=> (! [V] :( ssList(V)=> (! [W] :( ssList(W)=> (! [X] :( ssList(X)=> ( V != X| U != W| (! [Y] :( ssList(Y)=> (! [Z] :( ssList(Z)=> ( app(app(Y,W),Z) != X| ~ strictorderedP(W)| (? [X1] :( ssItem(X1)& (? [X2] :( ssList(X2)& app(X2,cons(X1,nil)) = Y& (? [X3] :( ssItem(X3)& (? [X4] :( ssList(X4)& app(cons(X3,nil),X4) = W& lt(X1,X3) ) )) )) )))| (? [X5] :( ssItem(X5)& (? [X6] :( ssList(X6)& app(cons(X5,nil),X6) = Z& (? [X7] :( ssItem(X7)& (? [X8] :( ssList(X8)& app(X8,cons(X7,nil)) = W& lt(X7,X5) ) )) )) )) )) ) )))| ( nil != X& nil = W )| ( ( nil != V| nil = U )& ( ~ neq(V,nil)| ( neq(U,nil)& segmentP(V,U) ) ) ) ) ) )) )) )) )),
% 0.08/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.08/0.45 fof(f97,negated_conjecture,(
% 0.08/0.45 ~((! [U] :( ssList(U)=> (! [V] :( ssList(V)=> (! [W] :( ssList(W)=> (! [X] :( ssList(X)=> ( V != X| U != W| (! [Y] :( ssList(Y)=> (! [Z] :( ssList(Z)=> ( app(app(Y,W),Z) != X| ~ strictorderedP(W)| (? [X1] :( ssItem(X1)& (? [X2] :( ssList(X2)& app(X2,cons(X1,nil)) = Y& (? [X3] :( ssItem(X3)& (? [X4] :( ssList(X4)& app(cons(X3,nil),X4) = W& lt(X1,X3) ) )) )) )))| (? [X5] :( ssItem(X5)& (? [X6] :( ssList(X6)& app(cons(X5,nil),X6) = Z& (? [X7] :( ssItem(X7)& (? [X8] :( ssList(X8)& app(X8,cons(X7,nil)) = W& lt(X7,X5) ) )) )) )) )) ) )))| ( nil != X& nil = W )| ( ( nil != V| nil = U )& ( ~ neq(V,nil)| ( neq(U,nil)& segmentP(V,U) ) ) ) ) ) )) )) )) ))),
% 0.08/0.45 inference(negated_conjecture,[status(cth)],[f96])).
% 0.08/0.45 fof(f102,plain,(
% 0.08/0.45 (ssItem(sK0_skl)&(ssItem(sK1_skl)&~sK0_skl=sK1_skl))),
% 0.08/0.45 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl,sK1_skl]),skolemize(U,sK0_skl),skolemize(V,sK1_skl)],[f2])).
% 0.08/0.45 fof(f105,plain,(
% 0.08/0.45 ~sK0_skl=sK1_skl),
% 0.08/0.45 inference(cnf_transformation,[status(thm)],[f102])).
% 0.08/0.45 fof(f113,plain,(
% 0.08/0.45 ![U]: (~ssList(U)|(singletonP(U)<=>(?[V]: (ssItem(V)&cons(V,nil)=U))))),
% 0.08/0.45 inference(pre_NNF_transformation,[status(thm)],[f4])).
% 0.08/0.45 fof(f114,plain,(
% 0.08/0.45 ![U]: (~ssList(U)|((~singletonP(U)|(?[V]: (ssItem(V)&cons(V,nil)=U)))&(singletonP(U)|(![V]: (~ssItem(V)|~cons(V,nil)=U)))))),
% 0.08/0.45 inference(NNF_transformation,[status(thm)],[f113])).
% 0.08/0.45 fof(f115,plain,(
% 0.08/0.45 ![U]: (~ssList(U)|((~singletonP(U)|(ssItem(sK4_skl(U))&cons(sK4_skl(U),nil)=U))&(singletonP(U)|(![V]: (~ssItem(V)|~cons(V,nil)=U)))))),
% 0.08/0.45 inference(skolemize,[status(esa),new_symbols(skolem,[sK4_skl]),skolemize(V,sK4_skl(U))],[f114])).
% 0.08/0.45 fof(f118,plain,(
% 0.08/0.45 ![X0,X1]: (~ssList(X0)|singletonP(X0)|~ssItem(X1)|~cons(X1,nil)=X0)),
% 0.08/0.45 inference(cnf_transformation,[status(thm)],[f115])).
% 0.08/0.45 fof(f119,plain,(
% 0.08/0.45 ![U]: (~ssList(U)|(![V]: (~ssList(V)|(frontsegP(U,V)<=>(?[W]: (ssList(W)&app(V,W)=U))))))),
% 0.08/0.45 inference(pre_NNF_transformation,[status(thm)],[f5])).
% 0.08/0.45 fof(f120,plain,(
% 0.08/0.45 ![U]: (~ssList(U)|(![V]: (~ssList(V)|((~frontsegP(U,V)|(?[W]: (ssList(W)&app(V,W)=U)))&(frontsegP(U,V)|(![W]: (~ssList(W)|~app(V,W)=U)))))))),
% 0.08/0.45 inference(NNF_transformation,[status(thm)],[f119])).
% 0.08/0.45 fof(f121,plain,(
% 0.08/0.45 ![U]: (~ssList(U)|(![V]: (~ssList(V)|((~frontsegP(U,V)|(ssList(sK5_skl(V,U))&app(V,sK5_skl(V,U))=U))&(frontsegP(U,V)|(![W]: (~ssList(W)|~app(V,W)=U)))))))),
% 0.08/0.45 inference(skolemize,[status(esa),new_symbols(skolem,[sK5_skl]),skolemize(W,sK5_skl(V,U))],[f120])).
% 0.08/0.45 fof(f123,plain,(
% 0.08/0.45 ![X0,X1]: (~ssList(X0)|~ssList(X1)|~frontsegP(X0,X1)|app(X1,sK5_skl(X1,X0))=X0)),
% 0.08/0.45 inference(cnf_transformation,[status(thm)],[f121])).
% 0.08/0.45 fof(f124,plain,(
% 0.08/0.45 ![X0,X1,X2]: (~ssList(X0)|~ssList(X1)|frontsegP(X0,X1)|~ssList(X2)|~app(X1,X2)=X0)),
% 0.08/0.45 inference(cnf_transformation,[status(thm)],[f121])).
% 0.08/0.45 fof(f125,plain,(
% 0.08/0.45 ![U]: (~ssList(U)|(![V]: (~ssList(V)|(rearsegP(U,V)<=>(?[W]: (ssList(W)&app(W,V)=U))))))),
% 0.08/0.45 inference(pre_NNF_transformation,[status(thm)],[f6])).
% 0.08/0.45 fof(f126,plain,(
% 0.08/0.45 ![U]: (~ssList(U)|(![V]: (~ssList(V)|((~rearsegP(U,V)|(?[W]: (ssList(W)&app(W,V)=U)))&(rearsegP(U,V)|(![W]: (~ssList(W)|~app(W,V)=U)))))))),
% 0.08/0.45 inference(NNF_transformation,[status(thm)],[f125])).
% 0.08/0.45 fof(f127,plain,(
% 0.08/0.45 ![U]: (~ssList(U)|(![V]: (~ssList(V)|((~rearsegP(U,V)|(ssList(sK6_skl(V,U))&app(sK6_skl(V,U),V)=U))&(rearsegP(U,V)|(![W]: (~ssList(W)|~app(W,V)=U)))))))),
% 0.08/0.45 inference(skolemize,[status(esa),new_symbols(skolem,[sK6_skl]),skolemize(W,sK6_skl(V,U))],[f126])).
% 0.08/0.45 fof(f128,plain,(
% 0.08/0.45 ![X0,X1]: (~ssList(X0)|~ssList(X1)|~rearsegP(X0,X1)|ssList(sK6_skl(X1,X0)))),
% 0.08/0.45 inference(cnf_transformation,[status(thm)],[f127])).
% 0.08/0.45 fof(f129,plain,(
% 0.08/0.45 ![X0,X1]: (~ssList(X0)|~ssList(X1)|~rearsegP(X0,X1)|app(sK6_skl(X1,X0),X1)=X0)),
% 0.08/0.45 inference(cnf_transformation,[status(thm)],[f127])).
% 0.08/0.45 fof(f130,plain,(
% 0.08/0.45 ![X0,X1,X2]: (~ssList(X0)|~ssList(X1)|rearsegP(X0,X1)|~ssList(X2)|~app(X2,X1)=X0)),
% 0.08/0.45 inference(cnf_transformation,[status(thm)],[f127])).
% 0.08/0.45 fof(f131,plain,(
% 0.08/0.45 ![U]: (~ssList(U)|(![V]: (~ssList(V)|(segmentP(U,V)<=>(?[W]: (ssList(W)&(?[X]: (ssList(X)&app(app(W,V),X)=U))))))))),
% 0.08/0.45 inference(pre_NNF_transformation,[status(thm)],[f7])).
% 0.08/0.45 fof(f132,plain,(
% 0.08/0.45 ![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)))))))))),
% 0.08/0.45 inference(NNF_transformation,[status(thm)],[f131])).
% 0.08/0.45 fof(f133,plain,(
% 0.08/0.45 ![U]: (~ssList(U)|(![V]: (~ssList(V)|((~segmentP(U,V)|(ssList(sK7_skl(V,U))&(ssList(sK8_skl(V,U))&app(app(sK7_skl(V,U),V),sK8_skl(V,U))=U)))&(segmentP(U,V)|(![W]: (~ssList(W)|(![X]: (~ssList(X)|~app(app(W,V),X)=U)))))))))),
% 0.08/0.45 inference(skolemize,[status(esa),new_symbols(skolem,[sK7_skl,sK8_skl]),skolemize(W,sK7_skl(V,U)),skolemize(X,sK8_skl(V,U))],[f132])).
% 0.08/0.45 fof(f134,plain,(
% 0.08/0.45 ![X0,X1]: (~ssList(X0)|~ssList(X1)|~segmentP(X0,X1)|ssList(sK7_skl(X1,X0)))),
% 0.08/0.45 inference(cnf_transformation,[status(thm)],[f133])).
% 0.08/0.45 fof(f135,plain,(
% 0.08/0.45 ![X0,X1]: (~ssList(X0)|~ssList(X1)|~segmentP(X0,X1)|ssList(sK8_skl(X1,X0)))),
% 0.08/0.45 inference(cnf_transformation,[status(thm)],[f133])).
% 0.08/0.45 fof(f136,plain,(
% 0.08/0.45 ![X0,X1]: (~ssList(X0)|~ssList(X1)|~segmentP(X0,X1)|app(app(sK7_skl(X1,X0),X1),sK8_skl(X1,X0))=X0)),
% 0.08/0.45 inference(cnf_transformation,[status(thm)],[f133])).
% 0.08/0.45 fof(f137,plain,(
% 0.08/0.45 ![X0,X1,X2,X3]: (~ssList(X0)|~ssList(X1)|segmentP(X0,X1)|~ssList(X2)|~ssList(X3)|~app(app(X2,X1),X3)=X0)),
% 0.08/0.45 inference(cnf_transformation,[status(thm)],[f133])).
% 0.08/0.45 fof(f217,plain,(
% 0.08/0.45 ![U]: (~ssList(U)|(![V]: (~ssList(V)|(neq(U,V)<=>~U=V))))),
% 0.08/0.45 inference(pre_NNF_transformation,[status(thm)],[f15])).
% 0.08/0.45 fof(f218,plain,(
% 0.08/0.45 ![U]: (~ssList(U)|(![V]: (~ssList(V)|((~neq(U,V)|~U=V)&(neq(U,V)|U=V)))))),
% 0.08/0.45 inference(NNF_transformation,[status(thm)],[f217])).
% 0.08/0.45 fof(f219,plain,(
% 0.08/0.45 ![X0,X1]: (~ssList(X0)|~ssList(X1)|~neq(X0,X1)|~X0=X1)),
% 0.08/0.45 inference(cnf_transformation,[status(thm)],[f218])).
% 0.08/0.45 fof(f220,plain,(
% 0.08/0.45 ![X0,X1]: (~ssList(X0)|~ssList(X1)|neq(X0,X1)|X0=X1)),
% 0.08/0.45 inference(cnf_transformation,[status(thm)],[f218])).
% 0.08/0.45 fof(f221,plain,(
% 0.08/0.45 ![U]: (~ssList(U)|(![V]: (~ssItem(V)|ssList(cons(V,U)))))),
% 0.08/0.45 inference(pre_NNF_transformation,[status(thm)],[f16])).
% 0.08/0.45 fof(f222,plain,(
% 0.08/0.45 ![X0,X1]: (~ssList(X0)|~ssItem(X1)|ssList(cons(X1,X0)))),
% 0.08/0.45 inference(cnf_transformation,[status(thm)],[f221])).
% 0.08/0.45 fof(f223,plain,(
% 0.08/0.45 ssList(nil)),
% 0.08/0.45 inference(cnf_transformation,[status(thm)],[f17])).
% 0.08/0.45 fof(f248,plain,(
% 0.08/0.45 ![U]: (~ssList(U)|app(nil,U)=U)),
% 0.08/0.45 inference(pre_NNF_transformation,[status(thm)],[f28])).
% 0.08/0.45 fof(f249,plain,(
% 0.08/0.45 ![X0]: (~ssList(X0)|app(nil,X0)=X0)),
% 0.08/0.45 inference(cnf_transformation,[status(thm)],[f248])).
% 0.08/0.45 fof(f294,plain,(
% 0.08/0.45 ![U]: (~ssList(U)|frontsegP(U,nil))),
% 0.08/0.45 inference(pre_NNF_transformation,[status(thm)],[f45])).
% 0.08/0.45 fof(f295,plain,(
% 0.08/0.45 ![X0]: (~ssList(X0)|frontsegP(X0,nil))),
% 0.08/0.45 inference(cnf_transformation,[status(thm)],[f294])).
% 0.08/0.45 fof(f308,plain,(
% 0.08/0.45 ![U]: (~ssList(U)|rearsegP(U,nil))),
% 0.08/0.45 inference(pre_NNF_transformation,[status(thm)],[f51])).
% 0.08/0.45 fof(f309,plain,(
% 0.08/0.45 ![X0]: (~ssList(X0)|rearsegP(X0,nil))),
% 0.08/0.45 inference(cnf_transformation,[status(thm)],[f308])).
% 0.08/0.45 fof(f314,plain,(
% 0.08/0.45 ![U]: (~ssList(U)|(![V]: (~ssList(V)|(![W]: (~ssList(W)|((~segmentP(U,V)|~segmentP(V,W))|segmentP(U,W)))))))),
% 0.08/0.45 inference(pre_NNF_transformation,[status(thm)],[f53])).
% 0.08/0.45 fof(f315,plain,(
% 0.08/0.45 ![X0,X1,X2]: (~ssList(X0)|~ssList(X1)|~ssList(X2)|~segmentP(X0,X1)|~segmentP(X1,X2)|segmentP(X0,X2))),
% 0.08/0.45 inference(cnf_transformation,[status(thm)],[f314])).
% 0.08/0.45 fof(f316,plain,(
% 0.08/0.45 ![U]: (~ssList(U)|(![V]: (~ssList(V)|((~segmentP(U,V)|~segmentP(V,U))|U=V))))),
% 0.08/0.45 inference(pre_NNF_transformation,[status(thm)],[f54])).
% 0.08/0.45 fof(f317,plain,(
% 0.08/0.45 ![X0,X1]: (~ssList(X0)|~ssList(X1)|~segmentP(X0,X1)|~segmentP(X1,X0)|X0=X1)),
% 0.08/0.45 inference(cnf_transformation,[status(thm)],[f316])).
% 0.08/0.45 fof(f322,plain,(
% 0.08/0.45 ![U]: (~ssList(U)|segmentP(U,nil))),
% 0.08/0.45 inference(pre_NNF_transformation,[status(thm)],[f57])).
% 0.08/0.45 fof(f323,plain,(
% 0.08/0.45 ![X0]: (~ssList(X0)|segmentP(X0,nil))),
% 0.08/0.45 inference(cnf_transformation,[status(thm)],[f322])).
% 0.08/0.45 fof(f388,plain,(
% 0.08/0.45 ![U]: (~ssList(U)|app(U,nil)=U)),
% 0.08/0.45 inference(pre_NNF_transformation,[status(thm)],[f84])).
% 0.08/0.45 fof(f389,plain,(
% 0.08/0.45 ![X0]: (~ssList(X0)|app(X0,nil)=X0)),
% 0.08/0.45 inference(cnf_transformation,[status(thm)],[f388])).
% 0.08/0.45 fof(f415,plain,(
% 0.08/0.45 (?[U]: (ssList(U)&(?[V]: (ssList(V)&(?[W]: (ssList(W)&(?[X]: (ssList(X)&((((V=X&U=W)&(?[Y]: (ssList(Y)&(?[Z]: (ssList(Z)&(((app(app(Y,W),Z)=X&strictorderedP(W))&(![X1]: (~ssItem(X1)|(![X2]: ((~ssList(X2)|~app(X2,cons(X1,nil))=Y)|(![X3]: (~ssItem(X3)|(![X4]: ((~ssList(X4)|~app(cons(X3,nil),X4)=W)|~lt(X1,X3))))))))))&(![X5]: (~ssItem(X5)|(![X6]: ((~ssList(X6)|~app(cons(X5,nil),X6)=Z)|(![X7]: (~ssItem(X7)|(![X8]: ((~ssList(X8)|~app(X8,cons(X7,nil))=W)|~lt(X7,X5)))))))))))))))&(nil=X|~nil=W))&((nil=V&~nil=U)|(neq(V,nil)&(~neq(U,nil)|~segmentP(V,U)))))))))))))),
% 0.08/0.45 inference(pre_NNF_transformation,[status(thm)],[f97])).
% 0.08/0.45 fof(f416,definition,(
% 0.08/0.45 ![U,V]: (sP0_prd(V,U)<=>(nil=V&~nil=U))),
% 0.08/0.45 introduced(definition,[new_symbols(definition,[sP0_prd])],[])).
% 0.08/0.45 fof(f417,plain,(
% 0.08/0.45 ?[U]: (ssList(U)&(?[V]: (ssList(V)&(?[W]: (ssList(W)&(?[X]: (ssList(X)&((((V=X&U=W)&(?[Y]: (ssList(Y)&(?[Z]: (ssList(Z)&(((app(app(Y,W),Z)=X&strictorderedP(W))&(![X1]: (~ssItem(X1)|(![X2]: ((~ssList(X2)|~app(X2,cons(X1,nil))=Y)|(![X3]: (~ssItem(X3)|(![X4]: ((~ssList(X4)|~app(cons(X3,nil),X4)=W)|~lt(X1,X3))))))))))&(![X5]: (~ssItem(X5)|(![X6]: ((~ssList(X6)|~app(cons(X5,nil),X6)=Z)|(![X7]: (~ssItem(X7)|(![X8]: ((~ssList(X8)|~app(X8,cons(X7,nil))=W)|~lt(X7,X5)))))))))))))))&(nil=X|~nil=W))&(sP0_prd(V,U)|(neq(V,nil)&(~neq(U,nil)|~segmentP(V,U))))))))))))),
% 0.08/0.45 inference(formula_renaming,[status(thm)],[f415,f416])).
% 0.08/0.45 fof(f418,plain,(
% 0.08/0.45 ?[U]: (ssList(U)&(?[V]: (ssList(V)&(?[W]: (ssList(W)&(?[X]: (ssList(X)&((((V=X&U=W)&(?[Y]: (ssList(Y)&(?[Z]: (ssList(Z)&(((app(app(Y,W),Z)=X&strictorderedP(W))&(![X1]: (~ssItem(X1)|((![X2]: (~ssList(X2)|~app(X2,cons(X1,nil))=Y))|(![X3]: (~ssItem(X3)|((![X4]: (~ssList(X4)|~app(cons(X3,nil),X4)=W))|~lt(X1,X3))))))))&(![X5]: (~ssItem(X5)|((![X6]: (~ssList(X6)|~app(cons(X5,nil),X6)=Z))|(![X7]: (~ssItem(X7)|((![X8]: (~ssList(X8)|~app(X8,cons(X7,nil))=W))|~lt(X7,X5)))))))))))))&(nil=X|~nil=W))&(sP0_prd(V,U)|(neq(V,nil)&(~neq(U,nil)|~segmentP(V,U))))))))))))),
% 0.08/0.45 inference(miniscoping,[status(thm)],[f417])).
% 0.08/0.45 fof(f419,plain,(
% 0.08/0.45 (ssList(sK47_skl)&(ssList(sK48_skl)&(ssList(sK49_skl)&(ssList(sK50_skl)&((((sK48_skl=sK50_skl&sK47_skl=sK49_skl)&(ssList(sK51_skl)&(ssList(sK52_skl)&(((app(app(sK51_skl,sK49_skl),sK52_skl)=sK50_skl&strictorderedP(sK49_skl))&(![X1]: (~ssItem(X1)|((![X2]: (~ssList(X2)|~app(X2,cons(X1,nil))=sK51_skl))|(![X3]: (~ssItem(X3)|((![X4]: (~ssList(X4)|~app(cons(X3,nil),X4)=sK49_skl))|~lt(X1,X3))))))))&(![X5]: (~ssItem(X5)|((![X6]: (~ssList(X6)|~app(cons(X5,nil),X6)=sK52_skl))|(![X7]: (~ssItem(X7)|((![X8]: (~ssList(X8)|~app(X8,cons(X7,nil))=sK49_skl))|~lt(X7,X5)))))))))))&(nil=sK50_skl|~nil=sK49_skl))&(sP0_prd(sK48_skl,sK47_skl)|(neq(sK48_skl,nil)&(~neq(sK47_skl,nil)|~segmentP(sK48_skl,sK47_skl)))))))))),
% 0.08/0.45 inference(skolemize,[status(esa),new_symbols(skolem,[sK47_skl,sK48_skl,sK49_skl,sK50_skl,sK51_skl,sK52_skl]),skolemize(U,sK47_skl),skolemize(V,sK48_skl),skolemize(W,sK49_skl),skolemize(X,sK50_skl),skolemize(Y,sK51_skl),skolemize(Z,sK52_skl)],[f418])).
% 0.08/0.45 fof(f420,plain,(
% 0.08/0.45 ssList(sK47_skl)),
% 0.08/0.45 inference(cnf_transformation,[status(thm)],[f419])).
% 0.08/0.45 fof(f423,plain,(
% 0.08/0.45 ssList(sK50_skl)),
% 0.08/0.45 inference(cnf_transformation,[status(thm)],[f419])).
% 0.08/0.45 fof(f424,plain,(
% 0.08/0.45 sK48_skl=sK50_skl),
% 0.08/0.45 inference(cnf_transformation,[status(thm)],[f419])).
% 0.08/0.45 fof(f425,plain,(
% 0.08/0.45 sK47_skl=sK49_skl),
% 0.08/0.45 inference(cnf_transformation,[status(thm)],[f419])).
% 0.08/0.45 fof(f426,plain,(
% 0.08/0.45 ssList(sK51_skl)),
% 0.08/0.45 inference(cnf_transformation,[status(thm)],[f419])).
% 0.08/0.45 fof(f427,plain,(
% 0.08/0.45 ssList(sK52_skl)),
% 0.08/0.45 inference(cnf_transformation,[status(thm)],[f419])).
% 0.08/0.45 fof(f428,plain,(
% 0.08/0.45 app(app(sK51_skl,sK49_skl),sK52_skl)=sK50_skl),
% 0.08/0.45 inference(cnf_transformation,[status(thm)],[f419])).
% 0.08/0.45 fof(f432,plain,(
% 0.08/0.45 nil=sK50_skl|~nil=sK49_skl),
% 0.08/0.45 inference(cnf_transformation,[status(thm)],[f419])).
% 0.08/0.45 fof(f433,plain,(
% 0.08/0.45 sP0_prd(sK48_skl,sK47_skl)|neq(sK48_skl,nil)),
% 0.08/0.45 inference(cnf_transformation,[status(thm)],[f419])).
% 0.08/0.45 fof(f434,plain,(
% 0.08/0.45 sP0_prd(sK48_skl,sK47_skl)|~neq(sK47_skl,nil)|~segmentP(sK48_skl,sK47_skl)),
% 0.08/0.45 inference(cnf_transformation,[status(thm)],[f419])).
% 0.08/0.45 fof(f435,plain,(
% 0.08/0.45 ![U,V]: ((~sP0_prd(V,U)|(nil=V&~nil=U))&(sP0_prd(V,U)|(~nil=V|nil=U)))),
% 0.08/0.45 inference(NNF_transformation,[status(thm)],[f416])).
% 0.08/0.45 fof(f436,plain,(
% 0.08/0.45 (![U,V]: (~sP0_prd(V,U)|(nil=V&~nil=U)))&(![U,V]: (sP0_prd(V,U)|(~nil=V|nil=U)))),
% 0.08/0.45 inference(miniscoping,[status(thm)],[f435])).
% 0.08/0.45 fof(f437,plain,(
% 0.08/0.45 ![X0,X1]: (~sP0_prd(X0,X1)|nil=X0)),
% 0.08/0.45 inference(cnf_transformation,[status(thm)],[f436])).
% 0.08/0.45 fof(f438,plain,(
% 0.08/0.45 ![X0,X1]: (~sP0_prd(X0,X1)|~nil=X1)),
% 0.08/0.45 inference(cnf_transformation,[status(thm)],[f436])).
% 0.08/0.45 fof(f439,plain,(
% 0.08/0.45 ![X0,X1]: (sP0_prd(X0,X1)|~nil=X0|nil=X1)),
% 0.08/0.45 inference(cnf_transformation,[status(thm)],[f436])).
% 0.08/0.45 fof(f440,definition,(
% 0.08/0.45 sQ0_spl <=> (nil=sK50_skl)),
% 0.08/0.45 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.08/0.45 fof(f441,plain,(
% 0.08/0.45 nil=sK50_skl|~sQ0_spl),
% 0.08/0.45 inference(component_clause,[status(thm)],[f440])).
% 0.08/0.45 fof(f443,definition,(
% 0.08/0.45 sQ1_spl <=> (nil=sK49_skl)),
% 0.08/0.45 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.08/0.45 fof(f445,plain,(
% 0.08/0.45 ~nil=sK49_skl|sQ1_spl),
% 0.08/0.45 inference(component_clause,[status(thm)],[f443])).
% 0.08/0.45 fof(f446,plain,(
% 0.08/0.45 sQ0_spl|~sQ1_spl),
% 0.08/0.45 inference(split_clause,[status(thm)],[f432,f440,f443])).
% 0.08/0.45 fof(f447,definition,(
% 0.08/0.45 sQ2_spl <=> (sP0_prd(sK48_skl,sK47_skl))),
% 0.08/0.45 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.08/0.45 fof(f448,plain,(
% 0.08/0.45 sP0_prd(sK48_skl,sK47_skl)|~sQ2_spl),
% 0.08/0.45 inference(component_clause,[status(thm)],[f447])).
% 0.08/0.45 fof(f450,definition,(
% 0.08/0.45 sQ3_spl <=> (neq(sK48_skl,nil))),
% 0.08/0.45 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.08/0.45 fof(f451,plain,(
% 0.08/0.45 neq(sK48_skl,nil)|~sQ3_spl),
% 0.08/0.45 inference(component_clause,[status(thm)],[f450])).
% 0.08/0.45 fof(f453,plain,(
% 0.08/0.45 sQ2_spl|sQ3_spl),
% 0.08/0.45 inference(split_clause,[status(thm)],[f433,f447,f450])).
% 0.08/0.45 fof(f454,definition,(
% 0.08/0.45 sQ4_spl <=> (neq(sK47_skl,nil))),
% 0.08/0.45 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 0.08/0.45 fof(f456,plain,(
% 0.08/0.45 ~neq(sK47_skl,nil)|sQ4_spl),
% 0.08/0.45 inference(component_clause,[status(thm)],[f454])).
% 0.08/0.45 fof(f457,definition,(
% 0.08/0.45 sQ5_spl <=> (segmentP(sK48_skl,sK47_skl))),
% 0.08/0.45 introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition])).
% 0.08/0.45 fof(f459,plain,(
% 0.08/0.45 ~segmentP(sK48_skl,sK47_skl)|sQ5_spl),
% 0.08/0.45 inference(component_clause,[status(thm)],[f457])).
% 0.08/0.45 fof(f460,plain,(
% 0.08/0.45 sQ2_spl|~sQ4_spl|~sQ5_spl),
% 0.08/0.45 inference(split_clause,[status(thm)],[f434,f447,f454,f457])).
% 0.08/0.45 fof(f464,plain,(
% 0.08/0.45 ![X0]: (~ssList(cons(X0,nil))|singletonP(cons(X0,nil))|~ssItem(X0))),
% 0.08/0.45 inference(destructive_equality_resolution,[status(thm)],[f118])).
% 0.08/0.45 fof(f465,plain,(
% 0.08/0.45 ![X0,X1]: (~ssList(app(X0,X1))|~ssList(X0)|frontsegP(app(X0,X1),X0)|~ssList(X1))),
% 0.08/0.45 inference(destructive_equality_resolution,[status(thm)],[f124])).
% 0.08/0.45 fof(f466,plain,(
% 0.08/0.45 ![X0,X1]: (~ssList(app(X0,X1))|~ssList(X1)|rearsegP(app(X0,X1),X1)|~ssList(X0))),
% 0.08/0.45 inference(destructive_equality_resolution,[status(thm)],[f130])).
% 0.08/0.45 fof(f467,plain,(
% 0.08/0.45 ![X0,X1,X2]: (~ssList(app(app(X0,X1),X2))|~ssList(X1)|segmentP(app(app(X0,X1),X2),X1)|~ssList(X0)|~ssList(X2))),
% 0.08/0.45 inference(destructive_equality_resolution,[status(thm)],[f137])).
% 0.08/0.45 fof(f476,plain,(
% 0.08/0.45 ![X1]: (~ssList(X1)|~ssList(X1)|~neq(X1,X1))),
% 0.08/0.45 inference(destructive_equality_resolution,[status(thm)],[f219])).
% 0.08/0.45 fof(f477,plain,(
% 0.08/0.45 ![X0]: (~ssList(X0)|~neq(X0,X0))),
% 0.08/0.45 inference(duplicate_literals_removal,[status(thm)],[f476])).
% 0.08/0.45 fof(f491,plain,(
% 0.08/0.45 ![X0]: (~sP0_prd(X0,nil))),
% 0.08/0.45 inference(destructive_equality_resolution,[status(thm)],[f438])).
% 0.08/0.45 fof(f492,plain,(
% 0.08/0.45 ![X0]: (sP0_prd(nil,X0)|nil=X0)),
% 0.08/0.45 inference(destructive_equality_resolution,[status(thm)],[f439])).
% 0.08/0.45 fof(f500,plain,(
% 0.08/0.45 sK48_skl=nil|~sQ0_spl),
% 0.08/0.45 inference(backward_demodulation,[status(thm)],[f441,f424])).
% 0.08/0.45 fof(f502,plain,(
% 0.08/0.45 app(app(sK51_skl,sK47_skl),sK52_skl)=sK50_skl),
% 0.08/0.45 inference(forward_demodulation,[status(thm)],[f425,f428])).
% 0.08/0.45 fof(f504,plain,(
% 0.08/0.45 sP0_prd(nil,sK47_skl)|~sQ0_spl|~sQ2_spl),
% 0.08/0.45 inference(forward_demodulation,[status(thm)],[f500,f448])).
% 0.08/0.45 fof(f507,definition,(
% 0.08/0.45 sQ6_spl <=> (ssList(nil))),
% 0.08/0.45 introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition])).
% 0.08/0.45 fof(f509,plain,(
% 0.08/0.45 ~ssList(nil)|sQ6_spl),
% 0.08/0.45 inference(component_clause,[status(thm)],[f507])).
% 0.08/0.45 fof(f510,definition,(
% 0.08/0.45 sQ7_spl <=> (ssList(sK47_skl))),
% 0.08/0.45 introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition])).
% 0.08/0.45 fof(f512,plain,(
% 0.08/0.45 ~ssList(sK47_skl)|sQ7_spl),
% 0.08/0.45 inference(component_clause,[status(thm)],[f510])).
% 0.08/0.45 fof(f513,definition,(
% 0.08/0.45 sQ8_spl <=> (segmentP(app(app(sK51_skl,sK47_skl),sK52_skl),sK47_skl))),
% 0.08/0.45 introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition])).
% 0.08/0.45 fof(f514,plain,(
% 0.08/0.45 segmentP(app(app(sK51_skl,sK47_skl),sK52_skl),sK47_skl)|~sQ8_spl),
% 0.08/0.45 inference(component_clause,[status(thm)],[f513])).
% 0.08/0.45 fof(f516,definition,(
% 0.08/0.45 sQ9_spl <=> (ssList(sK51_skl))),
% 0.08/0.45 introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition])).
% 0.08/0.45 fof(f518,plain,(
% 0.08/0.45 ~ssList(sK51_skl)|sQ9_spl),
% 0.08/0.45 inference(component_clause,[status(thm)],[f516])).
% 0.08/0.45 fof(f519,definition,(
% 0.08/0.45 sQ10_spl <=> (ssList(sK52_skl))),
% 0.08/0.45 introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition])).
% 0.08/0.45 fof(f521,plain,(
% 0.08/0.45 ~ssList(sK52_skl)|sQ10_spl),
% 0.08/0.45 inference(component_clause,[status(thm)],[f519])).
% 0.08/0.45 fof(f530,plain,(
% 0.08/0.45 $false|sQ10_spl),
% 0.08/0.45 inference(forward_subsumption_resolution,[status(thm)],[f521,f427])).
% 0.08/0.45 fof(f531,plain,(
% 0.08/0.45 sQ10_spl),
% 0.08/0.45 inference(contradiction_clause,[status(thm)],[f530])).
% 0.08/0.45 fof(f533,plain,(
% 0.08/0.45 $false|sQ9_spl),
% 0.08/0.45 inference(forward_subsumption_resolution,[status(thm)],[f518,f426])).
% 0.08/0.45 fof(f534,plain,(
% 0.08/0.45 sQ9_spl),
% 0.08/0.45 inference(contradiction_clause,[status(thm)],[f533])).
% 0.08/0.45 fof(f538,plain,(
% 0.08/0.45 ![X0]: (nil=X0|nil=nil)),
% 0.08/0.45 inference(resolution,[status(thm)],[f492,f437])).
% 0.08/0.45 fof(f539,definition,(
% 0.08/0.45 ![X0]: (sQ13_spl <=> (nil=X0))),
% 0.08/0.45 introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition])).
% 0.08/0.45 fof(f540,plain,(
% 0.08/0.45 ![X0]: (nil=X0|~sQ13_spl)),
% 0.08/0.45 inference(component_clause,[status(thm)],[f539])).
% 0.08/0.45 fof(f542,definition,(
% 0.08/0.45 sQ14_spl <=> (nil=nil)),
% 0.08/0.45 introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition])).
% 0.08/0.45 fof(f545,plain,(
% 0.08/0.45 sQ13_spl|sQ14_spl),
% 0.08/0.45 inference(split_clause,[status(thm)],[f538,f539,f542])).
% 0.08/0.45 fof(f546,plain,(
% 0.08/0.45 ![X0,X1]: (X0=X1|~sQ13_spl)),
% 0.08/0.45 inference(paramodulation,[status(thm)],[f540,f540])).
% 0.08/0.45 fof(f559,plain,(
% 0.08/0.45 $false|~sQ13_spl),
% 0.08/0.45 inference(backward_subsumption_resolution,[status(thm)],[f105,f546])).
% 0.08/0.45 fof(f560,plain,(
% 0.08/0.45 ~sQ13_spl),
% 0.08/0.45 inference(contradiction_clause,[status(thm)],[f559])).
% 0.08/0.45 fof(f586,plain,(
% 0.08/0.45 app(nil,sK52_skl)=sK52_skl),
% 0.08/0.45 inference(resolution,[status(thm)],[f249,f427])).
% 0.08/0.45 fof(f587,plain,(
% 0.08/0.45 app(nil,sK51_skl)=sK51_skl),
% 0.08/0.45 inference(resolution,[status(thm)],[f249,f426])).
% 0.08/0.45 fof(f588,plain,(
% 0.08/0.45 app(nil,nil)=nil),
% 0.08/0.45 inference(resolution,[status(thm)],[f249,f223])).
% 0.08/0.45 fof(f589,plain,(
% 0.08/0.45 app(nil,sK47_skl)=sK47_skl),
% 0.08/0.45 inference(resolution,[status(thm)],[f249,f420])).
% 0.08/0.45 fof(f590,plain,(
% 0.08/0.45 ![X0]: (~ssList(app(sK52_skl,X0))|~ssList(sK52_skl)|segmentP(app(app(nil,sK52_skl),X0),sK52_skl)|~ssList(nil)|~ssList(X0))),
% 0.08/0.45 inference(paramodulation,[status(thm)],[f586,f467])).
% 0.08/0.45 fof(f591,definition,(
% 0.08/0.45 ![X0]: (sQ19_spl <=> (~ssList(app(sK52_skl,X0))|segmentP(app(app(nil,sK52_skl),X0),sK52_skl)|~ssList(X0)))),
% 0.08/0.45 introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition])).
% 0.08/0.45 fof(f594,plain,(
% 0.08/0.45 sQ19_spl|~sQ10_spl|~sQ6_spl),
% 0.08/0.45 inference(split_clause,[status(thm)],[f590,f591,f519,f507])).
% 0.08/0.45 fof(f595,plain,(
% 0.08/0.45 $false|sQ6_spl),
% 0.08/0.45 inference(forward_subsumption_resolution,[status(thm)],[f509,f223])).
% 0.08/0.45 fof(f596,plain,(
% 0.08/0.45 sQ6_spl),
% 0.08/0.45 inference(contradiction_clause,[status(thm)],[f595])).
% 0.08/0.45 fof(f598,plain,(
% 0.08/0.45 $false|sQ7_spl),
% 0.08/0.45 inference(forward_subsumption_resolution,[status(thm)],[f512,f420])).
% 0.08/0.45 fof(f599,plain,(
% 0.08/0.45 sQ7_spl),
% 0.08/0.45 inference(contradiction_clause,[status(thm)],[f598])).
% 0.08/0.45 fof(f600,plain,(
% 0.08/0.45 ![X0]: (singletonP(cons(X0,nil))|~ssItem(X0)|~ssList(nil)|~ssItem(X0))),
% 0.08/0.45 inference(resolution,[status(thm)],[f464,f222])).
% 0.08/0.45 fof(f601,definition,(
% 0.08/0.45 ![X0]: (sQ20_spl <=> (singletonP(cons(X0,nil))|~ssItem(X0)|~ssItem(X0)))),
% 0.08/0.45 introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition])).
% 0.08/0.45 fof(f604,plain,(
% 0.08/0.45 sQ20_spl|~sQ6_spl),
% 0.08/0.45 inference(split_clause,[status(thm)],[f600,f601,f507])).
% 0.08/0.45 fof(f607,plain,(
% 0.08/0.45 ![X0]: (~ssList(X0)|~ssList(nil)|app(nil,sK5_skl(nil,X0))=X0|~ssList(X0))),
% 0.08/0.45 inference(resolution,[status(thm)],[f123,f295])).
% 0.08/0.45 fof(f609,definition,(
% 0.08/0.45 ![X0]: (sQ21_spl <=> (~ssList(X0)|app(nil,sK5_skl(nil,X0))=X0|~ssList(X0)))),
% 0.08/0.45 introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition])).
% 0.08/0.45 fof(f612,plain,(
% 0.08/0.45 sQ21_spl|~sQ6_spl),
% 0.08/0.45 inference(split_clause,[status(thm)],[f607,f609,f507])).
% 0.08/0.45 fof(f615,plain,(
% 0.08/0.45 ![X0]: (~ssList(app(sK51_skl,X0))|~ssList(sK51_skl)|segmentP(app(app(nil,sK51_skl),X0),sK51_skl)|~ssList(nil)|~ssList(X0))),
% 0.08/0.45 inference(paramodulation,[status(thm)],[f587,f467])).
% 0.08/0.45 fof(f616,definition,(
% 0.08/0.45 ![X0]: (sQ22_spl <=> (~ssList(app(sK51_skl,X0))|segmentP(app(app(nil,sK51_skl),X0),sK51_skl)|~ssList(X0)))),
% 0.08/0.45 introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition])).
% 0.08/0.45 fof(f619,plain,(
% 0.08/0.45 sQ22_spl|~sQ9_spl|~sQ6_spl),
% 0.08/0.45 inference(split_clause,[status(thm)],[f615,f616,f516,f507])).
% 0.08/0.45 fof(f621,plain,(
% 0.08/0.45 ![X0]: (~ssList(app(sK47_skl,X0))|~ssList(sK47_skl)|segmentP(app(app(nil,sK47_skl),X0),sK47_skl)|~ssList(nil)|~ssList(X0))),
% 0.08/0.45 inference(paramodulation,[status(thm)],[f589,f467])).
% 0.08/0.45 fof(f622,definition,(
% 0.08/0.45 ![X0]: (sQ23_spl <=> (~ssList(app(sK47_skl,X0))|segmentP(app(app(nil,sK47_skl),X0),sK47_skl)|~ssList(X0)))),
% 0.08/0.45 introduced(definition,[new_symbols(definition,[sQ23_spl])],[split_symbol_definition])).
% 0.08/0.45 fof(f625,plain,(
% 0.08/0.45 sQ23_spl|~sQ7_spl|~sQ6_spl),
% 0.08/0.45 inference(split_clause,[status(thm)],[f621,f622,f510,f507])).
% 0.08/0.45 fof(f628,plain,(
% 0.08/0.45 ![X0]: (~ssList(app(nil,X0))|~ssList(nil)|segmentP(app(app(nil,nil),X0),nil)|~ssList(nil)|~ssList(X0))),
% 0.08/0.45 inference(paramodulation,[status(thm)],[f588,f467])).
% 0.08/0.45 fof(f629,definition,(
% 0.08/0.45 ![X0]: (sQ24_spl <=> (~ssList(app(nil,X0))|segmentP(app(app(nil,nil),X0),nil)|~ssList(X0)))),
% 0.08/0.45 introduced(definition,[new_symbols(definition,[sQ24_spl])],[split_symbol_definition])).
% 0.08/0.45 fof(f632,plain,(
% 0.08/0.45 sQ24_spl|~sQ6_spl),
% 0.08/0.45 inference(split_clause,[status(thm)],[f628,f629,f507])).
% 0.08/0.45 fof(f638,plain,(
% 0.08/0.45 app(sK52_skl,nil)=sK52_skl),
% 0.08/0.45 inference(resolution,[status(thm)],[f389,f427])).
% 0.08/0.45 fof(f639,plain,(
% 0.08/0.45 app(sK51_skl,nil)=sK51_skl),
% 0.08/0.45 inference(resolution,[status(thm)],[f389,f426])).
% 0.08/0.45 fof(f641,plain,(
% 0.08/0.45 app(sK47_skl,nil)=sK47_skl),
% 0.08/0.45 inference(resolution,[status(thm)],[f389,f420])).
% 0.08/0.45 fof(f642,plain,(
% 0.08/0.45 ![X0]: (~ssList(app(sK52_skl,X0))|~ssList(nil)|segmentP(app(app(sK52_skl,nil),X0),nil)|~ssList(sK52_skl)|~ssList(X0))),
% 0.08/0.45 inference(paramodulation,[status(thm)],[f638,f467])).
% 0.08/0.45 fof(f643,definition,(
% 0.08/0.45 ![X0]: (sQ25_spl <=> (~ssList(app(sK52_skl,X0))|segmentP(app(app(sK52_skl,nil),X0),nil)|~ssList(X0)))),
% 0.08/0.45 introduced(definition,[new_symbols(definition,[sQ25_spl])],[split_symbol_definition])).
% 0.08/0.45 fof(f646,plain,(
% 0.08/0.45 sQ25_spl|~sQ6_spl|~sQ10_spl),
% 0.08/0.45 inference(split_clause,[status(thm)],[f642,f643,f507,f519])).
% 0.08/0.45 fof(f648,plain,(
% 0.08/0.45 ![X0]: (~ssList(app(sK51_skl,X0))|~ssList(nil)|segmentP(app(app(sK51_skl,nil),X0),nil)|~ssList(sK51_skl)|~ssList(X0))),
% 0.08/0.45 inference(paramodulation,[status(thm)],[f639,f467])).
% 0.08/0.45 fof(f649,definition,(
% 0.08/0.45 ![X0]: (sQ26_spl <=> (~ssList(app(sK51_skl,X0))|segmentP(app(app(sK51_skl,nil),X0),nil)|~ssList(X0)))),
% 0.08/0.45 introduced(definition,[new_symbols(definition,[sQ26_spl])],[split_symbol_definition])).
% 0.08/0.45 fof(f652,plain,(
% 0.08/0.45 sQ26_spl|~sQ6_spl|~sQ9_spl),
% 0.08/0.45 inference(split_clause,[status(thm)],[f648,f649,f507,f516])).
% 0.08/0.45 fof(f654,plain,(
% 0.08/0.45 ![X0]: (~ssList(app(sK47_skl,X0))|~ssList(nil)|segmentP(app(app(sK47_skl,nil),X0),nil)|~ssList(sK47_skl)|~ssList(X0))),
% 0.08/0.45 inference(paramodulation,[status(thm)],[f641,f467])).
% 0.08/0.45 fof(f655,definition,(
% 0.08/0.45 ![X0]: (sQ27_spl <=> (~ssList(app(sK47_skl,X0))|segmentP(app(app(sK47_skl,nil),X0),nil)|~ssList(X0)))),
% 0.08/0.45 introduced(definition,[new_symbols(definition,[sQ27_spl])],[split_symbol_definition])).
% 0.08/0.45 fof(f658,plain,(
% 0.08/0.45 sQ27_spl|~sQ6_spl|~sQ7_spl),
% 0.08/0.45 inference(split_clause,[status(thm)],[f654,f655,f507,f510])).
% 0.08/0.45 fof(f680,plain,(
% 0.08/0.45 ~ssList(sK47_skl)|~ssList(sK47_skl)|frontsegP(app(sK47_skl,nil),sK47_skl)|~ssList(nil)),
% 0.08/0.45 inference(paramodulation,[status(thm)],[f641,f465])).
% 0.08/0.45 fof(f681,plain,(
% 0.08/0.45 ~ssList(sK51_skl)|~ssList(sK51_skl)|frontsegP(app(sK51_skl,nil),sK51_skl)|~ssList(nil)),
% 0.08/0.45 inference(paramodulation,[status(thm)],[f639,f465])).
% 0.08/0.45 fof(f682,plain,(
% 0.08/0.45 ~ssList(sK52_skl)|~ssList(sK52_skl)|frontsegP(app(sK52_skl,nil),sK52_skl)|~ssList(nil)),
% 0.08/0.45 inference(paramodulation,[status(thm)],[f638,f465])).
% 0.08/0.45 fof(f683,plain,(
% 0.08/0.45 ~ssList(nil)|~ssList(nil)|frontsegP(app(nil,nil),nil)|~ssList(nil)),
% 0.08/0.45 inference(paramodulation,[status(thm)],[f588,f465])).
% 0.08/0.45 fof(f684,plain,(
% 0.08/0.45 ~ssList(sK47_skl)|~ssList(nil)|frontsegP(app(nil,sK47_skl),nil)|~ssList(sK47_skl)),
% 0.08/0.45 inference(paramodulation,[status(thm)],[f589,f465])).
% 0.08/0.45 fof(f685,plain,(
% 0.08/0.45 ~ssList(sK51_skl)|~ssList(nil)|frontsegP(app(nil,sK51_skl),nil)|~ssList(sK51_skl)),
% 0.08/0.45 inference(paramodulation,[status(thm)],[f587,f465])).
% 0.08/0.45 fof(f686,plain,(
% 0.08/0.45 ~ssList(sK52_skl)|~ssList(nil)|frontsegP(app(nil,sK52_skl),nil)|~ssList(sK52_skl)),
% 0.08/0.45 inference(paramodulation,[status(thm)],[f586,f465])).
% 0.08/0.45 fof(f687,definition,(
% 0.08/0.45 sQ28_spl <=> (frontsegP(app(sK47_skl,nil),sK47_skl))),
% 0.08/0.45 introduced(definition,[new_symbols(definition,[sQ28_spl])],[split_symbol_definition])).
% 0.08/0.45 fof(f688,plain,(
% 0.08/0.45 frontsegP(app(sK47_skl,nil),sK47_skl)|~sQ28_spl),
% 0.08/0.45 inference(component_clause,[status(thm)],[f687])).
% 0.08/0.45 fof(f690,plain,(
% 0.08/0.45 ~sQ7_spl|sQ28_spl|~sQ6_spl),
% 0.08/0.45 inference(split_clause,[status(thm)],[f680,f510,f687,f507])).
% 0.08/0.45 fof(f691,definition,(
% 0.08/0.45 sQ29_spl <=> (frontsegP(app(sK51_skl,nil),sK51_skl))),
% 0.08/0.45 introduced(definition,[new_symbols(definition,[sQ29_spl])],[split_symbol_definition])).
% 0.08/0.45 fof(f692,plain,(
% 0.08/0.45 frontsegP(app(sK51_skl,nil),sK51_skl)|~sQ29_spl),
% 0.08/0.45 inference(component_clause,[status(thm)],[f691])).
% 0.08/0.45 fof(f694,plain,(
% 0.08/0.45 ~sQ9_spl|sQ29_spl|~sQ6_spl),
% 0.08/0.45 inference(split_clause,[status(thm)],[f681,f516,f691,f507])).
% 0.08/0.45 fof(f695,definition,(
% 0.08/0.45 sQ30_spl <=> (frontsegP(app(sK52_skl,nil),sK52_skl))),
% 0.08/0.45 introduced(definition,[new_symbols(definition,[sQ30_spl])],[split_symbol_definition])).
% 0.08/0.45 fof(f696,plain,(
% 0.08/0.45 frontsegP(app(sK52_skl,nil),sK52_skl)|~sQ30_spl),
% 0.08/0.45 inference(component_clause,[status(thm)],[f695])).
% 0.08/0.45 fof(f698,plain,(
% 0.08/0.45 ~sQ10_spl|sQ30_spl|~sQ6_spl),
% 0.08/0.45 inference(split_clause,[status(thm)],[f682,f519,f695,f507])).
% 0.08/0.45 fof(f699,definition,(
% 0.08/0.45 sQ31_spl <=> (frontsegP(app(nil,nil),nil))),
% 0.08/0.45 introduced(definition,[new_symbols(definition,[sQ31_spl])],[split_symbol_definition])).
% 0.08/0.45 fof(f700,plain,(
% 0.08/0.45 frontsegP(app(nil,nil),nil)|~sQ31_spl),
% 0.08/0.45 inference(component_clause,[status(thm)],[f699])).
% 0.08/0.45 fof(f702,plain,(
% 0.08/0.45 ~sQ6_spl|sQ31_spl),
% 0.08/0.45 inference(split_clause,[status(thm)],[f683,f507,f699])).
% 0.08/0.45 fof(f703,definition,(
% 0.08/0.45 sQ32_spl <=> (frontsegP(app(nil,sK47_skl),nil))),
% 0.08/0.45 introduced(definition,[new_symbols(definition,[sQ32_spl])],[split_symbol_definition])).
% 0.08/0.45 fof(f704,plain,(
% 0.08/0.45 frontsegP(app(nil,sK47_skl),nil)|~sQ32_spl),
% 0.08/0.45 inference(component_clause,[status(thm)],[f703])).
% 0.08/0.45 fof(f706,plain,(
% 0.08/0.45 ~sQ7_spl|~sQ6_spl|sQ32_spl),
% 0.08/0.45 inference(split_clause,[status(thm)],[f684,f510,f507,f703])).
% 0.08/0.45 fof(f707,definition,(
% 0.08/0.45 sQ33_spl <=> (frontsegP(app(nil,sK51_skl),nil))),
% 0.08/0.45 introduced(definition,[new_symbols(definition,[sQ33_spl])],[split_symbol_definition])).
% 0.08/0.45 fof(f708,plain,(
% 0.08/0.45 frontsegP(app(nil,sK51_skl),nil)|~sQ33_spl),
% 0.08/0.45 inference(component_clause,[status(thm)],[f707])).
% 0.08/0.45 fof(f710,plain,(
% 0.08/0.45 ~sQ9_spl|~sQ6_spl|sQ33_spl),
% 0.08/0.45 inference(split_clause,[status(thm)],[f685,f516,f507,f707])).
% 0.08/0.45 fof(f711,definition,(
% 0.08/0.45 sQ34_spl <=> (frontsegP(app(nil,sK52_skl),nil))),
% 0.08/0.45 introduced(definition,[new_symbols(definition,[sQ34_spl])],[split_symbol_definition])).
% 0.08/0.45 fof(f712,plain,(
% 0.08/0.45 frontsegP(app(nil,sK52_skl),nil)|~sQ34_spl),
% 0.08/0.45 inference(component_clause,[status(thm)],[f711])).
% 0.08/0.45 fof(f714,plain,(
% 0.08/0.45 ~sQ10_spl|~sQ6_spl|sQ34_spl),
% 0.08/0.45 inference(split_clause,[status(thm)],[f686,f519,f507,f711])).
% 0.08/0.45 fof(f715,plain,(
% 0.08/0.45 frontsegP(sK52_skl,sK52_skl)|~sQ30_spl),
% 0.08/0.45 inference(forward_demodulation,[status(thm)],[f638,f696])).
% 0.08/0.45 fof(f716,plain,(
% 0.08/0.45 frontsegP(sK52_skl,nil)|~sQ34_spl),
% 0.08/0.45 inference(forward_demodulation,[status(thm)],[f586,f712])).
% 0.08/0.45 fof(f717,plain,(
% 0.08/0.45 frontsegP(sK51_skl,sK51_skl)|~sQ29_spl),
% 0.08/0.45 inference(forward_demodulation,[status(thm)],[f639,f692])).
% 0.08/0.45 fof(f718,plain,(
% 0.08/0.45 frontsegP(sK51_skl,nil)|~sQ33_spl),
% 0.08/0.45 inference(forward_demodulation,[status(thm)],[f587,f708])).
% 0.08/0.45 fof(f719,plain,(
% 0.08/0.45 frontsegP(sK47_skl,sK47_skl)|~sQ28_spl),
% 0.08/0.45 inference(forward_demodulation,[status(thm)],[f641,f688])).
% 0.08/0.45 fof(f720,plain,(
% 0.08/0.45 frontsegP(nil,nil)|~sQ31_spl),
% 0.08/0.45 inference(forward_demodulation,[status(thm)],[f588,f700])).
% 0.08/0.45 fof(f721,plain,(
% 0.08/0.45 frontsegP(sK47_skl,nil)|~sQ32_spl),
% 0.08/0.45 inference(forward_demodulation,[status(thm)],[f589,f704])).
% 0.08/0.45 fof(f722,plain,(
% 0.08/0.45 ![X0]: (~ssList(X0)|~ssList(nil)|ssList(sK6_skl(nil,X0))|~ssList(X0))),
% 0.08/0.45 inference(resolution,[status(thm)],[f128,f309])).
% 0.08/0.45 fof(f724,definition,(
% 0.08/0.45 ![X0]: (sQ35_spl <=> (~ssList(X0)|ssList(sK6_skl(nil,X0))|~ssList(X0)))),
% 0.08/0.45 introduced(definition,[new_symbols(definition,[sQ35_spl])],[split_symbol_definition])).
% 0.08/0.45 fof(f727,plain,(
% 0.08/0.45 sQ35_spl|~sQ6_spl),
% 0.08/0.45 inference(split_clause,[status(thm)],[f722,f724,f507])).
% 0.08/0.45 fof(f730,plain,(
% 0.08/0.45 ![X0]: (~ssList(X0)|~ssList(nil)|app(sK6_skl(nil,X0),nil)=X0|~ssList(X0))),
% 0.08/0.45 inference(resolution,[status(thm)],[f129,f309])).
% 0.08/0.45 fof(f732,definition,(
% 0.08/0.45 ![X0]: (sQ36_spl <=> (~ssList(X0)|app(sK6_skl(nil,X0),nil)=X0|~ssList(X0)))),
% 0.08/0.45 introduced(definition,[new_symbols(definition,[sQ36_spl])],[split_symbol_definition])).
% 0.08/0.45 fof(f735,plain,(
% 0.08/0.45 sQ36_spl|~sQ6_spl),
% 0.08/0.45 inference(split_clause,[status(thm)],[f730,f732,f507])).
% 0.08/0.45 fof(f738,plain,(
% 0.08/0.45 ~ssList(sK52_skl)|~ssList(sK52_skl)|app(sK52_skl,sK5_skl(sK52_skl,sK52_skl))=sK52_skl|~sQ30_spl),
% 0.08/0.45 inference(resolution,[status(thm)],[f715,f123])).
% 0.08/0.45 fof(f739,definition,(
% 0.08/0.45 sQ37_spl <=> (app(sK52_skl,sK5_skl(sK52_skl,sK52_skl))=sK52_skl)),
% 0.08/0.45 introduced(definition,[new_symbols(definition,[sQ37_spl])],[split_symbol_definition])).
% 0.08/0.45 fof(f742,plain,(
% 0.08/0.45 ~sQ10_spl|sQ37_spl|~sQ30_spl),
% 0.08/0.45 inference(split_clause,[status(thm)],[f738,f519,f739,f695])).
% 0.08/0.45 fof(f743,plain,(
% 0.08/0.45 ~ssList(sK52_skl)|~ssList(nil)|app(nil,sK5_skl(nil,sK52_skl))=sK52_skl|~sQ34_spl),
% 0.08/0.45 inference(resolution,[status(thm)],[f716,f123])).
% 0.08/0.45 fof(f744,definition,(
% 0.08/0.45 sQ38_spl <=> (app(nil,sK5_skl(nil,sK52_skl))=sK52_skl)),
% 0.08/0.45 introduced(definition,[new_symbols(definition,[sQ38_spl])],[split_symbol_definition])).
% 0.08/0.45 fof(f747,plain,(
% 0.08/0.45 ~sQ10_spl|~sQ6_spl|sQ38_spl|~sQ34_spl),
% 0.08/0.45 inference(split_clause,[status(thm)],[f743,f519,f507,f744,f711])).
% 0.08/0.45 fof(f748,plain,(
% 0.08/0.45 ~ssList(sK51_skl)|~ssList(sK51_skl)|app(sK51_skl,sK5_skl(sK51_skl,sK51_skl))=sK51_skl|~sQ29_spl),
% 0.08/0.45 inference(resolution,[status(thm)],[f717,f123])).
% 0.08/0.45 fof(f749,definition,(
% 0.08/0.45 sQ39_spl <=> (app(sK51_skl,sK5_skl(sK51_skl,sK51_skl))=sK51_skl)),
% 0.08/0.45 introduced(definition,[new_symbols(definition,[sQ39_spl])],[split_symbol_definition])).
% 0.08/0.45 fof(f752,plain,(
% 0.08/0.45 ~sQ9_spl|sQ39_spl|~sQ29_spl),
% 0.08/0.45 inference(split_clause,[status(thm)],[f748,f516,f749,f691])).
% 0.08/0.45 fof(f762,plain,(
% 0.08/0.45 ~nil=sK47_skl|sQ1_spl),
% 0.08/0.45 inference(forward_demodulation,[status(thm)],[f425,f445])).
% 0.08/0.45 fof(f765,plain,(
% 0.08/0.45 app(sK50_skl,nil)=sK50_skl),
% 0.08/0.45 inference(resolution,[status(thm)],[f423,f389])).
% 0.08/0.45 fof(f766,plain,(
% 0.08/0.45 app(nil,sK50_skl)=sK50_skl),
% 0.08/0.45 inference(resolution,[status(thm)],[f423,f249])).
% 0.08/0.45 fof(f767,plain,(
% 0.08/0.45 ~ssList(sK51_skl)|~ssList(nil)|app(nil,sK5_skl(nil,sK51_skl))=sK51_skl|~sQ33_spl),
% 0.08/0.45 inference(resolution,[status(thm)],[f718,f123])).
% 0.08/0.45 fof(f768,definition,(
% 0.08/0.45 sQ41_spl <=> (app(nil,sK5_skl(nil,sK51_skl))=sK51_skl)),
% 0.08/0.45 introduced(definition,[new_symbols(definition,[sQ41_spl])],[split_symbol_definition])).
% 0.08/0.45 fof(f771,plain,(
% 0.08/0.45 ~sQ9_spl|~sQ6_spl|sQ41_spl|~sQ33_spl),
% 0.08/0.45 inference(split_clause,[status(thm)],[f767,f516,f507,f768,f707])).
% 0.08/0.45 fof(f772,plain,(
% 0.08/0.45 ~ssList(sK47_skl)|~ssList(sK47_skl)|app(sK47_skl,sK5_skl(sK47_skl,sK47_skl))=sK47_skl|~sQ28_spl),
% 0.08/0.45 inference(resolution,[status(thm)],[f719,f123])).
% 0.08/0.45 fof(f773,definition,(
% 0.08/0.45 sQ42_spl <=> (app(sK47_skl,sK5_skl(sK47_skl,sK47_skl))=sK47_skl)),
% 0.08/0.45 introduced(definition,[new_symbols(definition,[sQ42_spl])],[split_symbol_definition])).
% 0.08/0.45 fof(f776,plain,(
% 0.08/0.45 ~sQ7_spl|sQ42_spl|~sQ28_spl),
% 0.08/0.45 inference(split_clause,[status(thm)],[f772,f510,f773,f687])).
% 0.08/0.45 fof(f781,plain,(
% 0.08/0.45 ~ssList(nil)|~ssList(nil)|app(nil,sK5_skl(nil,nil))=nil|~sQ31_spl),
% 0.08/0.45 inference(resolution,[status(thm)],[f720,f123])).
% 0.08/0.45 fof(f782,definition,(
% 0.08/0.45 sQ43_spl <=> (app(nil,sK5_skl(nil,nil))=nil)),
% 0.08/0.45 introduced(definition,[new_symbols(definition,[sQ43_spl])],[split_symbol_definition])).
% 0.08/0.45 fof(f785,plain,(
% 0.08/0.45 ~sQ6_spl|sQ43_spl|~sQ31_spl),
% 0.08/0.45 inference(split_clause,[status(thm)],[f781,f507,f782,f699])).
% 0.08/0.45 fof(f786,plain,(
% 0.08/0.45 ~ssList(sK47_skl)|~ssList(nil)|app(nil,sK5_skl(nil,sK47_skl))=sK47_skl|~sQ32_spl),
% 0.08/0.45 inference(resolution,[status(thm)],[f721,f123])).
% 0.08/0.45 fof(f787,definition,(
% 0.08/0.45 sQ44_spl <=> (app(nil,sK5_skl(nil,sK47_skl))=sK47_skl)),
% 0.08/0.45 introduced(definition,[new_symbols(definition,[sQ44_spl])],[split_symbol_definition])).
% 0.08/0.45 fof(f790,plain,(
% 0.08/0.45 ~sQ7_spl|~sQ6_spl|sQ44_spl|~sQ32_spl),
% 0.08/0.45 inference(split_clause,[status(thm)],[f786,f510,f507,f787,f703])).
% 0.08/0.45 fof(f791,plain,(
% 0.08/0.45 sP0_prd(sK50_skl,sK47_skl)|~sQ2_spl),
% 0.08/0.45 inference(forward_demodulation,[status(thm)],[f424,f448])).
% 0.08/0.45 fof(f792,plain,(
% 0.08/0.45 nil=sK50_skl|~sQ2_spl),
% 0.08/0.45 inference(resolution,[status(thm)],[f791,f437])).
% 0.08/0.45 fof(f793,plain,(
% 0.08/0.45 sQ0_spl|~sQ2_spl),
% 0.08/0.45 inference(split_clause,[status(thm)],[f792,f440,f447])).
% 0.08/0.45 fof(f798,plain,(
% 0.08/0.45 ~ssList(sK47_skl)|~ssList(nil)|rearsegP(app(sK47_skl,nil),nil)|~ssList(sK47_skl)),
% 0.08/0.45 inference(paramodulation,[status(thm)],[f641,f466])).
% 0.08/0.45 fof(f799,plain,(
% 0.08/0.45 ~ssList(sK51_skl)|~ssList(nil)|rearsegP(app(sK51_skl,nil),nil)|~ssList(sK51_skl)),
% 0.08/0.45 inference(paramodulation,[status(thm)],[f639,f466])).
% 0.08/0.45 fof(f800,plain,(
% 0.08/0.45 ~ssList(sK52_skl)|~ssList(nil)|rearsegP(app(sK52_skl,nil),nil)|~ssList(sK52_skl)),
% 0.08/0.45 inference(paramodulation,[status(thm)],[f638,f466])).
% 0.08/0.45 fof(f801,plain,(
% 0.08/0.45 ~ssList(nil)|~ssList(nil)|rearsegP(app(nil,nil),nil)|~ssList(nil)),
% 0.08/0.45 inference(paramodulation,[status(thm)],[f588,f466])).
% 0.08/0.45 fof(f802,plain,(
% 0.08/0.45 ~ssList(sK47_skl)|~ssList(sK47_skl)|rearsegP(app(nil,sK47_skl),sK47_skl)|~ssList(nil)),
% 0.08/0.45 inference(paramodulation,[status(thm)],[f589,f466])).
% 0.08/0.45 fof(f803,plain,(
% 0.08/0.45 ~ssList(sK51_skl)|~ssList(sK51_skl)|rearsegP(app(nil,sK51_skl),sK51_skl)|~ssList(nil)),
% 0.08/0.45 inference(paramodulation,[status(thm)],[f587,f466])).
% 0.08/0.45 fof(f804,plain,(
% 0.08/0.45 ~ssList(sK52_skl)|~ssList(sK52_skl)|rearsegP(app(nil,sK52_skl),sK52_skl)|~ssList(nil)),
% 0.08/0.45 inference(paramodulation,[status(thm)],[f586,f466])).
% 0.08/0.45 fof(f805,definition,(
% 0.08/0.45 sQ45_spl <=> (rearsegP(app(sK47_skl,nil),nil))),
% 0.08/0.45 introduced(definition,[new_symbols(definition,[sQ45_spl])],[split_symbol_definition])).
% 0.08/0.45 fof(f806,plain,(
% 0.08/0.45 rearsegP(app(sK47_skl,nil),nil)|~sQ45_spl),
% 0.08/0.45 inference(component_clause,[status(thm)],[f805])).
% 0.08/0.45 fof(f808,plain,(
% 0.08/0.45 ~sQ7_spl|~sQ6_spl|sQ45_spl),
% 0.08/0.45 inference(split_clause,[status(thm)],[f798,f510,f507,f805])).
% 0.08/0.45 fof(f809,definition,(
% 0.08/0.45 sQ46_spl <=> (rearsegP(app(sK51_skl,nil),nil))),
% 0.08/0.45 introduced(definition,[new_symbols(definition,[sQ46_spl])],[split_symbol_definition])).
% 0.08/0.45 fof(f810,plain,(
% 0.08/0.45 rearsegP(app(sK51_skl,nil),nil)|~sQ46_spl),
% 0.08/0.45 inference(component_clause,[status(thm)],[f809])).
% 0.08/0.45 fof(f812,plain,(
% 0.08/0.45 ~sQ9_spl|~sQ6_spl|sQ46_spl),
% 0.08/0.45 inference(split_clause,[status(thm)],[f799,f516,f507,f809])).
% 0.08/0.45 fof(f813,definition,(
% 0.08/0.45 sQ47_spl <=> (rearsegP(app(sK52_skl,nil),nil))),
% 0.08/0.45 introduced(definition,[new_symbols(definition,[sQ47_spl])],[split_symbol_definition])).
% 0.08/0.45 fof(f814,plain,(
% 0.08/0.45 rearsegP(app(sK52_skl,nil),nil)|~sQ47_spl),
% 0.08/0.45 inference(component_clause,[status(thm)],[f813])).
% 0.08/0.45 fof(f816,plain,(
% 0.08/0.45 ~sQ10_spl|~sQ6_spl|sQ47_spl),
% 0.08/0.45 inference(split_clause,[status(thm)],[f800,f519,f507,f813])).
% 0.08/0.45 fof(f817,definition,(
% 0.08/0.45 sQ48_spl <=> (rearsegP(app(nil,nil),nil))),
% 0.08/0.45 introduced(definition,[new_symbols(definition,[sQ48_spl])],[split_symbol_definition])).
% 0.08/0.45 fof(f818,plain,(
% 0.08/0.45 rearsegP(app(nil,nil),nil)|~sQ48_spl),
% 0.08/0.45 inference(component_clause,[status(thm)],[f817])).
% 0.08/0.45 fof(f820,plain,(
% 0.08/0.45 ~sQ6_spl|sQ48_spl),
% 0.08/0.45 inference(split_clause,[status(thm)],[f801,f507,f817])).
% 0.08/0.45 fof(f821,definition,(
% 0.08/0.45 sQ49_spl <=> (rearsegP(app(nil,sK47_skl),sK47_skl))),
% 0.08/0.45 introduced(definition,[new_symbols(definition,[sQ49_spl])],[split_symbol_definition])).
% 0.08/0.45 fof(f822,plain,(
% 0.08/0.45 rearsegP(app(nil,sK47_skl),sK47_skl)|~sQ49_spl),
% 0.08/0.45 inference(component_clause,[status(thm)],[f821])).
% 0.08/0.45 fof(f824,plain,(
% 0.08/0.45 ~sQ7_spl|sQ49_spl|~sQ6_spl),
% 0.08/0.45 inference(split_clause,[status(thm)],[f802,f510,f821,f507])).
% 0.08/0.45 fof(f825,definition,(
% 0.08/0.45 sQ50_spl <=> (rearsegP(app(nil,sK51_skl),sK51_skl))),
% 0.08/0.45 introduced(definition,[new_symbols(definition,[sQ50_spl])],[split_symbol_definition])).
% 0.08/0.45 fof(f826,plain,(
% 0.08/0.45 rearsegP(app(nil,sK51_skl),sK51_skl)|~sQ50_spl),
% 0.08/0.45 inference(component_clause,[status(thm)],[f825])).
% 0.08/0.45 fof(f828,plain,(
% 0.08/0.45 ~sQ9_spl|sQ50_spl|~sQ6_spl),
% 0.08/0.45 inference(split_clause,[status(thm)],[f803,f516,f825,f507])).
% 0.08/0.45 fof(f829,definition,(
% 0.08/0.45 sQ51_spl <=> (rearsegP(app(nil,sK52_skl),sK52_skl))),
% 0.08/0.45 introduced(definition,[new_symbols(definition,[sQ51_spl])],[split_symbol_definition])).
% 0.08/0.45 fof(f830,plain,(
% 0.08/0.45 rearsegP(app(nil,sK52_skl),sK52_skl)|~sQ51_spl),
% 0.08/0.45 inference(component_clause,[status(thm)],[f829])).
% 0.08/0.45 fof(f832,plain,(
% 0.08/0.45 ~sQ10_spl|sQ51_spl|~sQ6_spl),
% 0.08/0.45 inference(split_clause,[status(thm)],[f804,f519,f829,f507])).
% 0.08/0.45 fof(f833,plain,(
% 0.08/0.45 rearsegP(sK52_skl,nil)|~sQ47_spl),
% 0.08/0.45 inference(forward_demodulation,[status(thm)],[f638,f814])).
% 0.08/0.45 fof(f834,plain,(
% 0.08/0.45 rearsegP(sK52_skl,sK52_skl)|~sQ51_spl),
% 0.08/0.45 inference(forward_demodulation,[status(thm)],[f586,f830])).
% 0.08/0.45 fof(f835,plain,(
% 0.08/0.45 rearsegP(sK51_skl,nil)|~sQ46_spl),
% 0.08/0.45 inference(forward_demodulation,[status(thm)],[f639,f810])).
% 0.08/0.45 fof(f836,plain,(
% 0.08/0.45 rearsegP(sK51_skl,sK51_skl)|~sQ50_spl),
% 0.08/0.45 inference(forward_demodulation,[status(thm)],[f587,f826])).
% 0.08/0.45 fof(f837,plain,(
% 0.08/0.45 rearsegP(sK47_skl,nil)|~sQ45_spl),
% 0.08/0.45 inference(forward_demodulation,[status(thm)],[f641,f806])).
% 0.08/0.45 fof(f838,plain,(
% 0.08/0.45 rearsegP(nil,nil)|~sQ48_spl),
% 0.08/0.45 inference(forward_demodulation,[status(thm)],[f588,f818])).
% 0.08/0.45 fof(f839,plain,(
% 0.08/0.45 rearsegP(sK47_skl,sK47_skl)|~sQ49_spl),
% 0.08/0.45 inference(forward_demodulation,[status(thm)],[f589,f822])).
% 0.08/0.45 fof(f841,plain,(
% 0.08/0.45 ![X0]: (~ssList(X0)|~ssList(nil)|ssList(sK7_skl(nil,X0))|~ssList(X0))),
% 0.08/0.45 inference(resolution,[status(thm)],[f134,f323])).
% 0.08/0.45 fof(f847,definition,(
% 0.08/0.45 ![X0]: (sQ53_spl <=> (~ssList(X0)|ssList(sK7_skl(nil,X0))|~ssList(X0)))),
% 0.08/0.45 introduced(definition,[new_symbols(definition,[sQ53_spl])],[split_symbol_definition])).
% 0.08/0.45 fof(f850,plain,(
% 0.08/0.45 sQ53_spl|~sQ6_spl),
% 0.08/0.45 inference(split_clause,[status(thm)],[f841,f847,f507])).
% 0.08/0.45 fof(f853,plain,(
% 0.08/0.45 ![X0]: (~ssList(X0)|~ssList(nil)|ssList(sK8_skl(nil,X0))|~ssList(X0))),
% 0.08/0.45 inference(resolution,[status(thm)],[f135,f323])).
% 0.08/0.45 fof(f855,definition,(
% 0.08/0.45 ![X0]: (sQ54_spl <=> (~ssList(X0)|ssList(sK8_skl(nil,X0))|~ssList(X0)))),
% 0.08/0.45 introduced(definition,[new_symbols(definition,[sQ54_spl])],[split_symbol_definition])).
% 0.08/0.45 fof(f858,plain,(
% 0.08/0.45 sQ54_spl|~sQ6_spl),
% 0.08/0.45 inference(split_clause,[status(thm)],[f853,f855,f507])).
% 0.08/0.45 fof(f865,plain,(
% 0.08/0.45 ~ssList(sK52_skl)|~ssList(nil)|app(sK6_skl(nil,sK52_skl),nil)=sK52_skl|~sQ47_spl),
% 0.08/0.45 inference(resolution,[status(thm)],[f833,f129])).
% 0.08/0.45 fof(f866,plain,(
% 0.08/0.45 ~ssList(sK52_skl)|~ssList(nil)|ssList(sK6_skl(nil,sK52_skl))|~sQ47_spl),
% 0.08/0.45 inference(resolution,[status(thm)],[f833,f128])).
% 0.08/0.45 fof(f867,definition,(
% 0.08/0.45 sQ55_spl <=> (app(sK6_skl(nil,sK52_skl),nil)=sK52_skl)),
% 0.08/0.45 introduced(definition,[new_symbols(definition,[sQ55_spl])],[split_symbol_definition])).
% 0.08/0.45 fof(f870,plain,(
% 0.08/0.45 ~sQ10_spl|~sQ6_spl|sQ55_spl|~sQ47_spl),
% 0.08/0.45 inference(split_clause,[status(thm)],[f865,f519,f507,f867,f813])).
% 0.08/0.45 fof(f871,definition,(
% 0.08/0.45 sQ56_spl <=> (ssList(sK6_skl(nil,sK52_skl)))),
% 0.08/0.45 introduced(definition,[new_symbols(definition,[sQ56_spl])],[split_symbol_definition])).
% 0.08/0.45 fof(f874,plain,(
% 0.08/0.45 ~sQ10_spl|~sQ6_spl|sQ56_spl|~sQ47_spl),
% 0.08/0.45 inference(split_clause,[status(thm)],[f866,f519,f507,f871,f813])).
% 0.08/0.45 fof(f875,plain,(
% 0.08/0.45 ~ssList(sK52_skl)|~ssList(sK52_skl)|app(sK6_skl(sK52_skl,sK52_skl),sK52_skl)=sK52_skl|~sQ51_spl),
% 0.08/0.45 inference(resolution,[status(thm)],[f834,f129])).
% 0.08/0.45 fof(f876,plain,(
% 0.08/0.45 ~ssList(sK52_skl)|~ssList(sK52_skl)|ssList(sK6_skl(sK52_skl,sK52_skl))|~sQ51_spl),
% 0.08/0.45 inference(resolution,[status(thm)],[f834,f128])).
% 0.08/0.45 fof(f877,definition,(
% 0.08/0.45 sQ57_spl <=> (app(sK6_skl(sK52_skl,sK52_skl),sK52_skl)=sK52_skl)),
% 0.08/0.45 introduced(definition,[new_symbols(definition,[sQ57_spl])],[split_symbol_definition])).
% 0.08/0.45 fof(f880,plain,(
% 0.08/0.45 ~sQ10_spl|sQ57_spl|~sQ51_spl),
% 0.08/0.45 inference(split_clause,[status(thm)],[f875,f519,f877,f829])).
% 0.08/0.45 fof(f881,definition,(
% 0.08/0.45 sQ58_spl <=> (ssList(sK6_skl(sK52_skl,sK52_skl)))),
% 0.08/0.45 introduced(definition,[new_symbols(definition,[sQ58_spl])],[split_symbol_definition])).
% 0.08/0.45 fof(f884,plain,(
% 0.08/0.45 ~sQ10_spl|sQ58_spl|~sQ51_spl),
% 0.08/0.45 inference(split_clause,[status(thm)],[f876,f519,f881,f829])).
% 0.08/0.45 fof(f885,plain,(
% 0.08/0.45 ~ssList(sK51_skl)|~ssList(nil)|app(sK6_skl(nil,sK51_skl),nil)=sK51_skl|~sQ46_spl),
% 0.08/0.45 inference(resolution,[status(thm)],[f835,f129])).
% 0.08/0.45 fof(f886,plain,(
% 0.08/0.45 ~ssList(sK51_skl)|~ssList(nil)|ssList(sK6_skl(nil,sK51_skl))|~sQ46_spl),
% 0.08/0.45 inference(resolution,[status(thm)],[f835,f128])).
% 0.08/0.45 fof(f887,definition,(
% 0.08/0.45 sQ59_spl <=> (app(sK6_skl(nil,sK51_skl),nil)=sK51_skl)),
% 0.08/0.45 introduced(definition,[new_symbols(definition,[sQ59_spl])],[split_symbol_definition])).
% 0.08/0.45 fof(f890,plain,(
% 0.08/0.45 ~sQ9_spl|~sQ6_spl|sQ59_spl|~sQ46_spl),
% 0.08/0.45 inference(split_clause,[status(thm)],[f885,f516,f507,f887,f809])).
% 0.08/0.45 fof(f891,definition,(
% 0.08/0.45 sQ60_spl <=> (ssList(sK6_skl(nil,sK51_skl)))),
% 0.08/0.45 introduced(definition,[new_symbols(definition,[sQ60_spl])],[split_symbol_definition])).
% 0.08/0.45 fof(f894,plain,(
% 0.08/0.45 ~sQ9_spl|~sQ6_spl|sQ60_spl|~sQ46_spl),
% 0.08/0.45 inference(split_clause,[status(thm)],[f886,f516,f507,f891,f809])).
% 0.08/0.45 fof(f895,plain,(
% 0.08/0.45 ~ssList(sK51_skl)|~ssList(sK51_skl)|app(sK6_skl(sK51_skl,sK51_skl),sK51_skl)=sK51_skl|~sQ50_spl),
% 0.08/0.45 inference(resolution,[status(thm)],[f836,f129])).
% 0.08/0.45 fof(f896,plain,(
% 0.08/0.45 ~ssList(sK51_skl)|~ssList(sK51_skl)|ssList(sK6_skl(sK51_skl,sK51_skl))|~sQ50_spl),
% 0.08/0.45 inference(resolution,[status(thm)],[f836,f128])).
% 0.08/0.45 fof(f897,definition,(
% 0.08/0.45 sQ61_spl <=> (app(sK6_skl(sK51_skl,sK51_skl),sK51_skl)=sK51_skl)),
% 0.08/0.45 introduced(definition,[new_symbols(definition,[sQ61_spl])],[split_symbol_definition])).
% 0.08/0.45 fof(f900,plain,(
% 0.08/0.45 ~sQ9_spl|sQ61_spl|~sQ50_spl),
% 0.08/0.45 inference(split_clause,[status(thm)],[f895,f516,f897,f825])).
% 0.08/0.45 fof(f901,definition,(
% 0.08/0.45 sQ62_spl <=> (ssList(sK6_skl(sK51_skl,sK51_skl)))),
% 0.08/0.45 introduced(definition,[new_symbols(definition,[sQ62_spl])],[split_symbol_definition])).
% 0.08/0.45 fof(f904,plain,(
% 0.08/0.45 ~sQ9_spl|sQ62_spl|~sQ50_spl),
% 0.08/0.45 inference(split_clause,[status(thm)],[f896,f516,f901,f825])).
% 0.08/0.45 fof(f905,plain,(
% 0.08/0.45 ~ssList(sK47_skl)|~ssList(nil)|app(sK6_skl(nil,sK47_skl),nil)=sK47_skl|~sQ45_spl),
% 0.08/0.45 inference(resolution,[status(thm)],[f837,f129])).
% 0.08/0.45 fof(f906,plain,(
% 0.08/0.45 ~ssList(sK47_skl)|~ssList(nil)|ssList(sK6_skl(nil,sK47_skl))|~sQ45_spl),
% 0.08/0.45 inference(resolution,[status(thm)],[f837,f128])).
% 0.08/0.45 fof(f907,definition,(
% 0.08/0.45 sQ63_spl <=> (app(sK6_skl(nil,sK47_skl),nil)=sK47_skl)),
% 0.08/0.45 introduced(definition,[new_symbols(definition,[sQ63_spl])],[split_symbol_definition])).
% 0.08/0.45 fof(f910,plain,(
% 0.08/0.45 ~sQ7_spl|~sQ6_spl|sQ63_spl|~sQ45_spl),
% 0.08/0.45 inference(split_clause,[status(thm)],[f905,f510,f507,f907,f805])).
% 0.08/0.45 fof(f911,definition,(
% 0.08/0.45 sQ64_spl <=> (ssList(sK6_skl(nil,sK47_skl)))),
% 0.08/0.45 introduced(definition,[new_symbols(definition,[sQ64_spl])],[split_symbol_definition])).
% 0.08/0.45 fof(f914,plain,(
% 0.08/0.45 ~sQ7_spl|~sQ6_spl|sQ64_spl|~sQ45_spl),
% 0.08/0.45 inference(split_clause,[status(thm)],[f906,f510,f507,f911,f805])).
% 0.08/0.45 fof(f928,plain,(
% 0.08/0.45 ~ssList(nil)|~ssList(nil)|app(sK6_skl(nil,nil),nil)=nil|~sQ48_spl),
% 0.08/0.45 inference(resolution,[status(thm)],[f838,f129])).
% 0.08/0.45 fof(f929,plain,(
% 0.08/0.45 ~ssList(nil)|~ssList(nil)|ssList(sK6_skl(nil,nil))|~sQ48_spl),
% 0.08/0.45 inference(resolution,[status(thm)],[f838,f128])).
% 0.08/0.45 fof(f930,definition,(
% 0.08/0.45 sQ65_spl <=> (app(sK6_skl(nil,nil),nil)=nil)),
% 0.08/0.45 introduced(definition,[new_symbols(definition,[sQ65_spl])],[split_symbol_definition])).
% 0.08/0.45 fof(f933,plain,(
% 0.08/0.45 ~sQ6_spl|sQ65_spl|~sQ48_spl),
% 0.08/0.45 inference(split_clause,[status(thm)],[f928,f507,f930,f817])).
% 0.08/0.45 fof(f934,definition,(
% 0.08/0.45 sQ66_spl <=> (ssList(sK6_skl(nil,nil)))),
% 0.08/0.45 introduced(definition,[new_symbols(definition,[sQ66_spl])],[split_symbol_definition])).
% 0.08/0.45 fof(f937,plain,(
% 0.08/0.45 ~sQ6_spl|sQ66_spl|~sQ48_spl),
% 0.08/0.45 inference(split_clause,[status(thm)],[f929,f507,f934,f817])).
% 0.08/0.45 fof(f938,plain,(
% 0.08/0.45 ~ssList(sK47_skl)|~ssList(sK47_skl)|app(sK6_skl(sK47_skl,sK47_skl),sK47_skl)=sK47_skl|~sQ49_spl),
% 0.08/0.45 inference(resolution,[status(thm)],[f839,f129])).
% 0.08/0.45 fof(f939,plain,(
% 0.08/0.45 ~ssList(sK47_skl)|~ssList(sK47_skl)|ssList(sK6_skl(sK47_skl,sK47_skl))|~sQ49_spl),
% 0.08/0.45 inference(resolution,[status(thm)],[f839,f128])).
% 0.08/0.45 fof(f940,definition,(
% 0.08/0.45 sQ67_spl <=> (app(sK6_skl(sK47_skl,sK47_skl),sK47_skl)=sK47_skl)),
% 0.08/0.45 introduced(definition,[new_symbols(definition,[sQ67_spl])],[split_symbol_definition])).
% 0.08/0.45 fof(f943,plain,(
% 0.08/0.45 ~sQ7_spl|sQ67_spl|~sQ49_spl),
% 0.08/0.45 inference(split_clause,[status(thm)],[f938,f510,f940,f821])).
% 0.08/0.45 fof(f944,definition,(
% 0.08/0.45 sQ68_spl <=> (ssList(sK6_skl(sK47_skl,sK47_skl)))),
% 0.08/0.45 introduced(definition,[new_symbols(definition,[sQ68_spl])],[split_symbol_definition])).
% 0.08/0.45 fof(f947,plain,(
% 0.08/0.45 ~sQ7_spl|sQ68_spl|~sQ49_spl),
% 0.08/0.45 inference(split_clause,[status(thm)],[f939,f510,f944,f821])).
% 0.08/0.45 fof(f948,plain,(
% 0.08/0.45 neq(sK50_skl,nil)|~sQ3_spl),
% 0.08/0.45 inference(forward_demodulation,[status(thm)],[f424,f451])).
% 0.08/0.45 fof(f949,plain,(
% 0.08/0.45 ~ssList(sK47_skl)|~ssList(nil)|sK47_skl=nil|sQ4_spl),
% 0.08/0.45 inference(resolution,[status(thm)],[f456,f220])).
% 0.08/0.45 fof(f950,definition,(
% 0.08/0.45 sQ69_spl <=> (sK47_skl=nil)),
% 0.08/0.45 introduced(definition,[new_symbols(definition,[sQ69_spl])],[split_symbol_definition])).
% 0.08/0.45 fof(f951,plain,(
% 0.08/0.45 sK47_skl=nil|~sQ69_spl),
% 0.08/0.45 inference(component_clause,[status(thm)],[f950])).
% 0.08/0.45 fof(f953,plain,(
% 0.08/0.45 ~sQ7_spl|~sQ6_spl|sQ69_spl|sQ4_spl),
% 0.08/0.45 inference(split_clause,[status(thm)],[f949,f510,f507,f950,f454])).
% 0.08/0.45 fof(f954,plain,(
% 0.08/0.45 ~segmentP(sK50_skl,sK47_skl)|sQ5_spl),
% 0.08/0.45 inference(forward_demodulation,[status(thm)],[f424,f459])).
% 0.08/0.45 fof(f955,plain,(
% 0.08/0.45 $false|sQ1_spl|~sQ69_spl),
% 0.08/0.45 inference(forward_subsumption_resolution,[status(thm)],[f951,f762])).
% 0.08/0.45 fof(f956,plain,(
% 0.08/0.45 sQ1_spl|~sQ69_spl),
% 0.08/0.45 inference(contradiction_clause,[status(thm)],[f955])).
% 0.08/0.45 fof(f958,plain,(
% 0.08/0.45 ![X0]: (~ssList(X0)|~ssList(nil)|app(app(sK7_skl(nil,X0),nil),sK8_skl(nil,X0))=X0|~ssList(X0))),
% 0.08/0.45 inference(resolution,[status(thm)],[f136,f323])).
% 0.08/0.45 fof(f960,definition,(
% 0.08/0.45 ![X0]: (sQ70_spl <=> (~ssList(X0)|app(app(sK7_skl(nil,X0),nil),sK8_skl(nil,X0))=X0|~ssList(X0)))),
% 0.08/0.45 introduced(definition,[new_symbols(definition,[sQ70_spl])],[split_symbol_definition])).
% 0.08/0.45 fof(f963,plain,(
% 0.08/0.45 sQ70_spl|~sQ6_spl),
% 0.08/0.45 inference(split_clause,[status(thm)],[f958,f960,f507])).
% 0.08/0.45 fof(f972,plain,(
% 0.08/0.45 ![X0]: (~ssList(app(sK50_skl,X0))|~ssList(nil)|segmentP(app(app(sK50_skl,nil),X0),nil)|~ssList(sK50_skl)|~ssList(X0))),
% 0.08/0.45 inference(paramodulation,[status(thm)],[f765,f467])).
% 0.08/0.45 fof(f973,definition,(
% 0.08/0.45 ![X0]: (sQ71_spl <=> (~ssList(app(sK50_skl,X0))|segmentP(app(app(sK50_skl,nil),X0),nil)|~ssList(X0)))),
% 0.08/0.45 introduced(definition,[new_symbols(definition,[sQ71_spl])],[split_symbol_definition])).
% 0.08/0.45 fof(f976,definition,(
% 0.08/0.45 sQ72_spl <=> (ssList(sK50_skl))),
% 0.08/0.45 introduced(definition,[new_symbols(definition,[sQ72_spl])],[split_symbol_definition])).
% 0.08/0.45 fof(f978,plain,(
% 0.08/0.45 ~ssList(sK50_skl)|sQ72_spl),
% 0.08/0.45 inference(component_clause,[status(thm)],[f976])).
% 0.08/0.45 fof(f979,plain,(
% 0.08/0.45 sQ71_spl|~sQ6_spl|~sQ72_spl),
% 0.08/0.45 inference(split_clause,[status(thm)],[f972,f973,f507,f976])).
% 0.08/0.45 fof(f981,plain,(
% 0.08/0.45 ![X0]: (~ssList(app(sK50_skl,X0))|~ssList(sK50_skl)|segmentP(app(app(nil,sK50_skl),X0),sK50_skl)|~ssList(nil)|~ssList(X0))),
% 0.08/0.45 inference(paramodulation,[status(thm)],[f766,f467])).
% 0.08/0.45 fof(f982,definition,(
% 0.08/0.45 ![X0]: (sQ73_spl <=> (~ssList(app(sK50_skl,X0))|segmentP(app(app(nil,sK50_skl),X0),sK50_skl)|~ssList(X0)))),
% 0.08/0.45 introduced(definition,[new_symbols(definition,[sQ73_spl])],[split_symbol_definition])).
% 0.08/0.45 fof(f985,plain,(
% 0.08/0.45 sQ73_spl|~sQ72_spl|~sQ6_spl),
% 0.08/0.45 inference(split_clause,[status(thm)],[f981,f982,f976,f507])).
% 0.08/0.45 fof(f986,plain,(
% 0.08/0.45 $false|sQ72_spl),
% 0.08/0.45 inference(forward_subsumption_resolution,[status(thm)],[f978,f423])).
% 0.08/0.45 fof(f987,plain,(
% 0.08/0.45 sQ72_spl),
% 0.08/0.45 inference(contradiction_clause,[status(thm)],[f986])).
% 0.08/0.45 fof(f989,plain,(
% 0.08/0.45 ~ssList(sK50_skl)|~ssList(sK47_skl)|segmentP(app(app(sK51_skl,sK47_skl),sK52_skl),sK47_skl)|~ssList(sK51_skl)|~ssList(sK52_skl)),
% 0.08/0.45 inference(paramodulation,[status(thm)],[f502,f467])).
% 0.08/0.45 fof(f991,plain,(
% 0.08/0.45 ~sQ72_spl|~sQ7_spl|sQ8_spl|~sQ9_spl|~sQ10_spl),
% 0.08/0.45 inference(split_clause,[status(thm)],[f989,f976,f510,f513,f516,f519])).
% 0.08/0.45 fof(f996,plain,(
% 0.08/0.45 segmentP(sK50_skl,sK47_skl)|~sQ8_spl),
% 0.08/0.45 inference(forward_demodulation,[status(thm)],[f502,f514])).
% 0.08/0.45 fof(f997,plain,(
% 0.08/0.45 $false|sQ5_spl|~sQ8_spl),
% 0.08/0.45 inference(forward_subsumption_resolution,[status(thm)],[f996,f954])).
% 0.08/0.45 fof(f998,plain,(
% 0.08/0.45 sQ5_spl|~sQ8_spl),
% 0.08/0.45 inference(contradiction_clause,[status(thm)],[f997])).
% 0.08/0.45 fof(f1053,plain,(
% 0.08/0.45 segmentP(nil,sK47_skl)|~sQ0_spl|~sQ8_spl),
% 0.08/0.45 inference(forward_demodulation,[status(thm)],[f441,f996])).
% 0.08/0.45 fof(f1106,plain,(
% 0.08/0.45 ![X0,X1]: (~ssList(X0)|~ssList(X1)|~ssList(nil)|~segmentP(X0,X1)|segmentP(X0,nil)|~ssList(X1))),
% 0.08/0.45 inference(resolution,[status(thm)],[f315,f323])).
% 0.08/0.45 fof(f1117,definition,(
% 0.08/0.45 ![X0,X1]: (sQ81_spl <=> (~ssList(X0)|~ssList(X1)|~segmentP(X0,X1)|segmentP(X0,nil)|~ssList(X1)))),
% 0.08/0.45 introduced(definition,[new_symbols(definition,[sQ81_spl])],[split_symbol_definition])).
% 0.08/0.45 fof(f1120,plain,(
% 0.08/0.45 sQ81_spl|~sQ6_spl),
% 0.08/0.45 inference(split_clause,[status(thm)],[f1106,f1117,f507])).
% 0.08/0.45 fof(f1128,plain,(
% 0.08/0.45 ~ssList(sK47_skl)|~ssList(nil)|~segmentP(sK47_skl,nil)|sK47_skl=nil|~sQ0_spl|~sQ8_spl),
% 0.08/0.45 inference(resolution,[status(thm)],[f317,f1053])).
% 0.08/0.45 fof(f1129,plain,(
% 0.08/0.45 ![X0]: (~ssList(nil)|~ssList(X0)|~segmentP(nil,X0)|nil=X0|~ssList(X0))),
% 0.08/0.45 inference(resolution,[status(thm)],[f317,f323])).
% 0.08/0.45 fof(f1132,definition,(
% 0.08/0.45 sQ82_spl <=> (segmentP(sK47_skl,nil))),
% 0.08/0.45 introduced(definition,[new_symbols(definition,[sQ82_spl])],[split_symbol_definition])).
% 0.08/0.45 fof(f1134,plain,(
% 0.08/0.45 ~segmentP(sK47_skl,nil)|sQ82_spl),
% 0.08/0.45 inference(component_clause,[status(thm)],[f1132])).
% 0.08/0.45 fof(f1135,plain,(
% 0.08/0.45 ~sQ7_spl|~sQ6_spl|~sQ82_spl|sQ69_spl|~sQ0_spl|~sQ8_spl),
% 0.08/0.45 inference(split_clause,[status(thm)],[f1128,f510,f507,f1132,f950,f440,f513])).
% 0.08/0.45 fof(f1136,definition,(
% 0.08/0.45 ![X0]: (sQ83_spl <=> (~ssList(X0)|~segmentP(nil,X0)|nil=X0|~ssList(X0)))),
% 0.08/0.45 introduced(definition,[new_symbols(definition,[sQ83_spl])],[split_symbol_definition])).
% 0.08/0.45 fof(f1139,plain,(
% 0.08/0.45 ~sQ6_spl|sQ83_spl),
% 0.08/0.45 inference(split_clause,[status(thm)],[f1129,f507,f1136])).
% 0.08/0.45 fof(f1142,plain,(
% 0.08/0.45 ~ssList(sK47_skl)|sQ82_spl),
% 0.08/0.45 inference(resolution,[status(thm)],[f1134,f323])).
% 0.08/0.45 fof(f1144,plain,(
% 0.08/0.45 ~sQ7_spl|sQ82_spl),
% 0.08/0.45 inference(split_clause,[status(thm)],[f1142,f510,f1132])).
% 0.08/0.45 fof(f1155,plain,(
% 0.08/0.45 sP0_prd(nil,nil)|~sQ69_spl|~sQ0_spl|~sQ2_spl),
% 0.08/0.45 inference(backward_demodulation,[status(thm)],[f951,f504])).
% 0.08/0.45 fof(f1162,plain,(
% 0.08/0.45 $false|~sQ69_spl|~sQ0_spl|~sQ2_spl),
% 0.08/0.45 inference(forward_subsumption_resolution,[status(thm)],[f1155,f491])).
% 0.08/0.45 fof(f1163,plain,(
% 0.08/0.45 ~sQ69_spl|~sQ0_spl|~sQ2_spl),
% 0.08/0.45 inference(contradiction_clause,[status(thm)],[f1162])).
% 0.08/0.45 fof(f1164,plain,(
% 0.08/0.45 neq(nil,nil)|~sQ0_spl|~sQ3_spl),
% 0.08/0.45 inference(forward_demodulation,[status(thm)],[f441,f948])).
% 0.08/0.45 fof(f1185,plain,(
% 0.08/0.45 ~ssList(nil)|~sQ0_spl|~sQ3_spl),
% 0.08/0.45 inference(resolution,[status(thm)],[f1164,f477])).
% 0.08/0.45 fof(f1186,plain,(
% 0.08/0.45 ~sQ6_spl|~sQ0_spl|~sQ3_spl),
% 0.08/0.45 inference(split_clause,[status(thm)],[f1185,f507,f440,f450])).
% 0.08/0.45 fof(f1187,plain,(
% 0.08/0.45 $false),
% 0.08/0.45 inference(sat_refutation,[status(thm)],[f446,f453,f460,f531,f534,f545,f560,f594,f596,f599,f604,f612,f619,f625,f632,f646,f652,f658,f690,f694,f698,f702,f706,f710,f714,f727,f735,f742,f747,f752,f771,f776,f785,f790,f793,f808,f812,f816,f820,f824,f828,f832,f850,f858,f870,f874,f880,f884,f890,f894,f900,f904,f910,f914,f933,f937,f943,f947,f953,f956,f963,f979,f985,f987,f991,f998,f1120,f1135,f1139,f1144,f1163,f1186])).
% 0.08/0.45 % SZS output end CNFRefutation for theBenchmark.p
% 0.08/0.46 % Elapsed time: 0.094869 seconds
% 0.08/0.46 % CPU time: 0.444177 seconds
% 0.08/0.46 % Total memory used: 116.199 MB
% 0.08/0.46 % Net memory used: 115.797 MB
%------------------------------------------------------------------------------