TSTP Solution File: SWC112+1 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SWC112+1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n005.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 12:39:18 EDT 2023
% Result : Theorem 0.15s 0.33s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.10 % Problem : SWC112+1 : TPTP v8.1.2. Released v2.4.0.
% 0.02/0.10 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.09/0.30 % Computer : n005.cluster.edu
% 0.09/0.30 % Model : x86_64 x86_64
% 0.09/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.30 % Memory : 8042.1875MB
% 0.09/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.30 % CPULimit : 300
% 0.09/0.30 % WCLimit : 300
% 0.09/0.30 % DateTime : Tue May 30 11:22:06 EDT 2023
% 0.09/0.30 % CPUTime :
% 0.15/0.31 % Drodi V3.5.1
% 0.15/0.33 % Refutation found
% 0.15/0.33 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.15/0.33 % SZS output start CNFRefutation for theBenchmark
% 0.15/0.33 fof(f2,axiom,(
% 0.15/0.33 (? [U] :( ssItem(U)& (? [V] :( ssItem(V)& U != V ) )) )),
% 0.15/0.33 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.33 fof(f3,axiom,(
% 0.15/0.33 (! [U] :( ssList(U)=> (! [V] :( ssItem(V)=> ( memberP(U,V)<=> (? [W] :( ssList(W)& (? [X] :( ssList(X)& app(W,cons(V,X)) = U ) )) )) ) )) )),
% 0.15/0.33 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.33 fof(f4,axiom,(
% 0.15/0.33 (! [U] :( ssList(U)=> ( singletonP(U)<=> (? [V] :( ssItem(V)& cons(V,nil) = U ) )) ) )),
% 0.15/0.33 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.33 fof(f5,axiom,(
% 0.15/0.33 (! [U] :( ssList(U)=> (! [V] :( ssList(V)=> ( frontsegP(U,V)<=> (? [W] :( ssList(W)& app(V,W) = U ) )) ) )) )),
% 0.15/0.33 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.33 fof(f7,axiom,(
% 0.15/0.33 (! [U] :( ssList(U)=> (! [V] :( ssList(V)=> ( segmentP(U,V)<=> (? [W] :( ssList(W)& (? [X] :( ssList(X)& app(app(W,V),X) = U ) )) )) ) )) )),
% 0.15/0.33 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.33 fof(f15,axiom,(
% 0.15/0.33 (! [U] :( ssList(U)=> (! [V] :( ssList(V)=> ( neq(U,V)<=> U != V ) ) )) )),
% 0.15/0.33 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.33 fof(f16,axiom,(
% 0.15/0.33 (! [U] :( ssList(U)=> (! [V] :( ssItem(V)=> ssList(cons(V,U)) ) )) )),
% 0.15/0.33 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.33 fof(f17,axiom,(
% 0.15/0.33 ssList(nil) ),
% 0.15/0.33 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.33 fof(f19,axiom,(
% 0.15/0.33 (! [U] :( ssList(U)=> (! [V] :( ssList(V)=> (! [W] :( ssItem(W)=> (! [X] :( ssItem(X)=> ( cons(W,U) = cons(X,V)=> ( W = X& V = U ) ) ) )) )) )) )),
% 0.15/0.33 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.33 fof(f26,axiom,(
% 0.15/0.33 (! [U] :( ssList(U)=> (! [V] :( ssList(V)=> ssList(app(U,V)) ) )) )),
% 0.15/0.33 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.33 fof(f53,axiom,(
% 0.15/0.33 (! [U] :( ssList(U)=> (! [V] :( ssList(V)=> (! [W] :( ssList(W)=> ( ( segmentP(U,V)& segmentP(V,W) )=> segmentP(U,W) ) ) )) )) )),
% 0.15/0.33 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.33 fof(f54,axiom,(
% 0.15/0.33 (! [U] :( ssList(U)=> (! [V] :( ssList(V)=> ( ( segmentP(U,V)& segmentP(V,U) )=> U = V ) ) )) )),
% 0.15/0.33 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.33 fof(f56,axiom,(
% 0.15/0.33 (! [U] :( ssList(U)=> (! [V] :( ssList(V)=> (! [W] :( ssList(W)=> (! [X] :( ssList(X)=> ( segmentP(U,V)=> segmentP(app(app(W,U),X),V) ) ) )) )) )) )),
% 0.15/0.33 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.33 fof(f57,axiom,(
% 0.15/0.33 (! [U] :( ssList(U)=> segmentP(U,nil) ) )),
% 0.15/0.33 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.33 fof(f58,axiom,(
% 0.15/0.33 (! [U] :( ssList(U)=> ( segmentP(nil,U)<=> nil = U ) ) )),
% 0.15/0.33 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.33 fof(f83,axiom,(
% 0.15/0.33 (! [U] :( ssList(U)=> (! [V] :( ssList(V)=> ( nil = app(U,V)<=> ( nil = V& nil = U ) ) ) )) )),
% 0.15/0.33 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.33 fof(f96,conjecture,(
% 0.15/0.33 (! [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) ) ) ) ) ) )) )) )) )),
% 0.15/0.33 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.33 fof(f97,negated_conjecture,(
% 0.15/0.33 ~((! [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) ) ) ) ) ) )) )) )) ))),
% 0.15/0.33 inference(negated_conjecture,[status(cth)],[f96])).
% 0.15/0.33 fof(f102,plain,(
% 0.15/0.33 (ssItem(sk0_0)&(ssItem(sk0_1)&~sk0_0=sk0_1))),
% 0.15/0.33 inference(skolemization,[status(esa)],[f2])).
% 0.15/0.33 fof(f104,plain,(
% 0.15/0.33 ssItem(sk0_1)),
% 0.15/0.33 inference(cnf_transformation,[status(esa)],[f102])).
% 0.15/0.33 fof(f106,plain,(
% 0.15/0.33 ![U]: (~ssList(U)|(![V]: (~ssItem(V)|(memberP(U,V)<=>(?[W]: (ssList(W)&(?[X]: (ssList(X)&app(W,cons(V,X))=U))))))))),
% 0.15/0.33 inference(pre_NNF_transformation,[status(esa)],[f3])).
% 0.15/0.33 fof(f107,plain,(
% 0.15/0.33 ![U]: (~ssList(U)|(![V]: (~ssItem(V)|((~memberP(U,V)|(?[W]: (ssList(W)&(?[X]: (ssList(X)&app(W,cons(V,X))=U)))))&(memberP(U,V)|(![W]: (~ssList(W)|(![X]: (~ssList(X)|~app(W,cons(V,X))=U)))))))))),
% 0.15/0.33 inference(NNF_transformation,[status(esa)],[f106])).
% 0.15/0.33 fof(f108,plain,(
% 0.15/0.33 ![U]: (~ssList(U)|(![V]: (~ssItem(V)|((~memberP(U,V)|(ssList(sk0_2(V,U))&(ssList(sk0_3(V,U))&app(sk0_2(V,U),cons(V,sk0_3(V,U)))=U)))&(memberP(U,V)|(![W]: (~ssList(W)|(![X]: (~ssList(X)|~app(W,cons(V,X))=U)))))))))),
% 0.15/0.33 inference(skolemization,[status(esa)],[f107])).
% 0.15/0.33 fof(f111,plain,(
% 0.15/0.33 ![X0,X1]: (~ssList(X0)|~ssItem(X1)|~memberP(X0,X1)|app(sk0_2(X1,X0),cons(X1,sk0_3(X1,X0)))=X0)),
% 0.15/0.33 inference(cnf_transformation,[status(esa)],[f108])).
% 0.15/0.33 fof(f113,plain,(
% 0.15/0.33 ![U]: (~ssList(U)|(singletonP(U)<=>(?[V]: (ssItem(V)&cons(V,nil)=U))))),
% 0.15/0.33 inference(pre_NNF_transformation,[status(esa)],[f4])).
% 0.15/0.33 fof(f114,plain,(
% 0.15/0.33 ![U]: (~ssList(U)|((~singletonP(U)|(?[V]: (ssItem(V)&cons(V,nil)=U)))&(singletonP(U)|(![V]: (~ssItem(V)|~cons(V,nil)=U)))))),
% 0.15/0.33 inference(NNF_transformation,[status(esa)],[f113])).
% 0.15/0.33 fof(f115,plain,(
% 0.15/0.33 ![U]: (~ssList(U)|((~singletonP(U)|(ssItem(sk0_4(U))&cons(sk0_4(U),nil)=U))&(singletonP(U)|(![V]: (~ssItem(V)|~cons(V,nil)=U)))))),
% 0.15/0.33 inference(skolemization,[status(esa)],[f114])).
% 0.15/0.33 fof(f117,plain,(
% 0.15/0.33 ![X0]: (~ssList(X0)|~singletonP(X0)|cons(sk0_4(X0),nil)=X0)),
% 0.15/0.33 inference(cnf_transformation,[status(esa)],[f115])).
% 0.15/0.33 fof(f118,plain,(
% 0.15/0.33 ![X0,X1]: (~ssList(X0)|singletonP(X0)|~ssItem(X1)|~cons(X1,nil)=X0)),
% 0.15/0.33 inference(cnf_transformation,[status(esa)],[f115])).
% 0.15/0.33 fof(f119,plain,(
% 0.15/0.33 ![U]: (~ssList(U)|(![V]: (~ssList(V)|(frontsegP(U,V)<=>(?[W]: (ssList(W)&app(V,W)=U))))))),
% 0.15/0.33 inference(pre_NNF_transformation,[status(esa)],[f5])).
% 0.15/0.33 fof(f120,plain,(
% 0.15/0.33 ![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)))))))),
% 0.15/0.33 inference(NNF_transformation,[status(esa)],[f119])).
% 0.15/0.33 fof(f121,plain,(
% 0.15/0.33 ![U]: (~ssList(U)|(![V]: (~ssList(V)|((~frontsegP(U,V)|(ssList(sk0_5(V,U))&app(V,sk0_5(V,U))=U))&(frontsegP(U,V)|(![W]: (~ssList(W)|~app(V,W)=U)))))))),
% 0.15/0.33 inference(skolemization,[status(esa)],[f120])).
% 0.15/0.33 fof(f123,plain,(
% 0.15/0.33 ![X0,X1]: (~ssList(X0)|~ssList(X1)|~frontsegP(X0,X1)|app(X1,sk0_5(X1,X0))=X0)),
% 0.15/0.33 inference(cnf_transformation,[status(esa)],[f121])).
% 0.15/0.33 fof(f124,plain,(
% 0.15/0.33 ![X0,X1,X2]: (~ssList(X0)|~ssList(X1)|frontsegP(X0,X1)|~ssList(X2)|~app(X1,X2)=X0)),
% 0.15/0.33 inference(cnf_transformation,[status(esa)],[f121])).
% 0.15/0.33 fof(f131,plain,(
% 0.15/0.33 ![U]: (~ssList(U)|(![V]: (~ssList(V)|(segmentP(U,V)<=>(?[W]: (ssList(W)&(?[X]: (ssList(X)&app(app(W,V),X)=U))))))))),
% 0.15/0.33 inference(pre_NNF_transformation,[status(esa)],[f7])).
% 0.15/0.33 fof(f132,plain,(
% 0.15/0.33 ![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)))))))))),
% 0.15/0.33 inference(NNF_transformation,[status(esa)],[f131])).
% 0.15/0.33 fof(f133,plain,(
% 0.15/0.33 ![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)))))))))),
% 0.15/0.33 inference(skolemization,[status(esa)],[f132])).
% 0.15/0.33 fof(f137,plain,(
% 0.15/0.33 ![X0,X1,X2,X3]: (~ssList(X0)|~ssList(X1)|segmentP(X0,X1)|~ssList(X2)|~ssList(X3)|~app(app(X2,X1),X3)=X0)),
% 0.15/0.33 inference(cnf_transformation,[status(esa)],[f133])).
% 0.15/0.33 fof(f217,plain,(
% 0.15/0.33 ![U]: (~ssList(U)|(![V]: (~ssList(V)|(neq(U,V)<=>~U=V))))),
% 0.15/0.33 inference(pre_NNF_transformation,[status(esa)],[f15])).
% 0.15/0.33 fof(f218,plain,(
% 0.15/0.33 ![U]: (~ssList(U)|(![V]: (~ssList(V)|((~neq(U,V)|~U=V)&(neq(U,V)|U=V)))))),
% 0.15/0.33 inference(NNF_transformation,[status(esa)],[f217])).
% 0.15/0.33 fof(f219,plain,(
% 0.15/0.33 ![X0,X1]: (~ssList(X0)|~ssList(X1)|~neq(X0,X1)|~X0=X1)),
% 0.15/0.33 inference(cnf_transformation,[status(esa)],[f218])).
% 0.15/0.33 fof(f220,plain,(
% 0.15/0.33 ![X0,X1]: (~ssList(X0)|~ssList(X1)|neq(X0,X1)|X0=X1)),
% 0.15/0.33 inference(cnf_transformation,[status(esa)],[f218])).
% 0.15/0.33 fof(f221,plain,(
% 0.15/0.33 ![U]: (~ssList(U)|(![V]: (~ssItem(V)|ssList(cons(V,U)))))),
% 0.15/0.33 inference(pre_NNF_transformation,[status(esa)],[f16])).
% 0.15/0.33 fof(f222,plain,(
% 0.15/0.33 ![X0,X1]: (~ssList(X0)|~ssItem(X1)|ssList(cons(X1,X0)))),
% 0.15/0.33 inference(cnf_transformation,[status(esa)],[f221])).
% 0.15/0.33 fof(f223,plain,(
% 0.15/0.33 ssList(nil)),
% 0.15/0.33 inference(cnf_transformation,[status(esa)],[f17])).
% 0.15/0.33 fof(f226,plain,(
% 0.15/0.33 ![U]: (~ssList(U)|(![V]: (~ssList(V)|(![W]: (~ssItem(W)|(![X]: (~ssItem(X)|(~cons(W,U)=cons(X,V)|(W=X&V=U)))))))))),
% 0.15/0.33 inference(pre_NNF_transformation,[status(esa)],[f19])).
% 0.15/0.33 fof(f227,plain,(
% 0.15/0.33 ![X0,X1,X2,X3]: (~ssList(X0)|~ssList(X1)|~ssItem(X2)|~ssItem(X3)|~cons(X2,X0)=cons(X3,X1)|X2=X3)),
% 0.15/0.33 inference(cnf_transformation,[status(esa)],[f226])).
% 0.15/0.33 fof(f228,plain,(
% 0.15/0.33 ![X0,X1,X2,X3]: (~ssList(X0)|~ssList(X1)|~ssItem(X2)|~ssItem(X3)|~cons(X2,X0)=cons(X3,X1)|X1=X0)),
% 0.15/0.33 inference(cnf_transformation,[status(esa)],[f226])).
% 0.15/0.33 fof(f244,plain,(
% 0.15/0.33 ![U]: (~ssList(U)|(![V]: (~ssList(V)|ssList(app(U,V)))))),
% 0.15/0.33 inference(pre_NNF_transformation,[status(esa)],[f26])).
% 0.15/0.33 fof(f245,plain,(
% 0.15/0.33 ![X0,X1]: (~ssList(X0)|~ssList(X1)|ssList(app(X0,X1)))),
% 0.15/0.33 inference(cnf_transformation,[status(esa)],[f244])).
% 0.15/0.33 fof(f314,plain,(
% 0.15/0.33 ![U]: (~ssList(U)|(![V]: (~ssList(V)|(![W]: (~ssList(W)|((~segmentP(U,V)|~segmentP(V,W))|segmentP(U,W)))))))),
% 0.15/0.33 inference(pre_NNF_transformation,[status(esa)],[f53])).
% 0.15/0.33 fof(f315,plain,(
% 0.15/0.33 ![X0,X1,X2]: (~ssList(X0)|~ssList(X1)|~ssList(X2)|~segmentP(X0,X1)|~segmentP(X1,X2)|segmentP(X0,X2))),
% 0.15/0.33 inference(cnf_transformation,[status(esa)],[f314])).
% 0.15/0.33 fof(f316,plain,(
% 0.15/0.33 ![U]: (~ssList(U)|(![V]: (~ssList(V)|((~segmentP(U,V)|~segmentP(V,U))|U=V))))),
% 0.15/0.33 inference(pre_NNF_transformation,[status(esa)],[f54])).
% 0.15/0.33 fof(f317,plain,(
% 0.15/0.33 ![X0,X1]: (~ssList(X0)|~ssList(X1)|~segmentP(X0,X1)|~segmentP(X1,X0)|X0=X1)),
% 0.15/0.33 inference(cnf_transformation,[status(esa)],[f316])).
% 0.15/0.33 fof(f320,plain,(
% 0.15/0.33 ![U]: (~ssList(U)|(![V]: (~ssList(V)|(![W]: (~ssList(W)|(![X]: (~ssList(X)|(~segmentP(U,V)|segmentP(app(app(W,U),X),V)))))))))),
% 0.15/0.33 inference(pre_NNF_transformation,[status(esa)],[f56])).
% 0.15/0.33 fof(f321,plain,(
% 0.15/0.33 ![X0,X1,X2,X3]: (~ssList(X0)|~ssList(X1)|~ssList(X2)|~ssList(X3)|~segmentP(X0,X1)|segmentP(app(app(X2,X0),X3),X1))),
% 0.15/0.33 inference(cnf_transformation,[status(esa)],[f320])).
% 0.15/0.33 fof(f322,plain,(
% 0.15/0.33 ![U]: (~ssList(U)|segmentP(U,nil))),
% 0.15/0.33 inference(pre_NNF_transformation,[status(esa)],[f57])).
% 0.15/0.33 fof(f323,plain,(
% 0.15/0.33 ![X0]: (~ssList(X0)|segmentP(X0,nil))),
% 0.15/0.33 inference(cnf_transformation,[status(esa)],[f322])).
% 0.15/0.33 fof(f324,plain,(
% 0.15/0.33 ![U]: (~ssList(U)|(segmentP(nil,U)<=>nil=U))),
% 0.15/0.33 inference(pre_NNF_transformation,[status(esa)],[f58])).
% 0.15/0.33 fof(f325,plain,(
% 0.15/0.33 ![U]: (~ssList(U)|((~segmentP(nil,U)|nil=U)&(segmentP(nil,U)|~nil=U)))),
% 0.15/0.33 inference(NNF_transformation,[status(esa)],[f324])).
% 0.15/0.33 fof(f326,plain,(
% 0.15/0.33 ![X0]: (~ssList(X0)|~segmentP(nil,X0)|nil=X0)),
% 0.15/0.33 inference(cnf_transformation,[status(esa)],[f325])).
% 0.15/0.33 fof(f383,plain,(
% 0.15/0.33 ![U]: (~ssList(U)|(![V]: (~ssList(V)|(nil=app(U,V)<=>(nil=V&nil=U)))))),
% 0.15/0.33 inference(pre_NNF_transformation,[status(esa)],[f83])).
% 0.15/0.33 fof(f384,plain,(
% 0.15/0.33 ![U]: (~ssList(U)|(![V]: (~ssList(V)|((~nil=app(U,V)|(nil=V&nil=U))&(nil=app(U,V)|(~nil=V|~nil=U))))))),
% 0.15/0.33 inference(NNF_transformation,[status(esa)],[f383])).
% 0.15/0.33 fof(f385,plain,(
% 0.15/0.33 ![X0,X1]: (~ssList(X0)|~ssList(X1)|~nil=app(X0,X1)|nil=X1)),
% 0.15/0.33 inference(cnf_transformation,[status(esa)],[f384])).
% 0.15/0.33 fof(f386,plain,(
% 0.15/0.33 ![X0,X1]: (~ssList(X0)|~ssList(X1)|~nil=app(X0,X1)|nil=X0)),
% 0.15/0.33 inference(cnf_transformation,[status(esa)],[f384])).
% 0.15/0.33 fof(f415,plain,(
% 0.15/0.33 (?[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)))))))))))))),
% 0.15/0.33 inference(pre_NNF_transformation,[status(esa)],[f97])).
% 0.15/0.33 fof(f416,plain,(
% 0.15/0.33 ![U,V]: (pd0_0(V,U)=>(nil=V&~nil=U))),
% 0.15/0.33 introduced(predicate_definition,[f415])).
% 0.15/0.33 fof(f417,plain,(
% 0.15/0.33 ?[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))&(pd0_0(V,U)|(neq(V,nil)&(~neq(U,nil)|~segmentP(V,U))))))))))))),
% 0.15/0.33 inference(formula_renaming,[status(thm)],[f415,f416])).
% 0.15/0.33 fof(f418,plain,(
% 0.15/0.33 ?[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))&(pd0_0(V,U)|(neq(V,nil)&(~neq(U,nil)|~segmentP(V,U))))))))))))),
% 0.15/0.33 inference(miniscoping,[status(esa)],[f417])).
% 0.15/0.33 fof(f419,plain,(
% 0.15/0.33 (ssList(sk0_47)&(ssList(sk0_48)&(ssList(sk0_49)&(ssList(sk0_50)&((((sk0_48=sk0_50&sk0_47=sk0_49)&(ssList(sk0_51)&(ssList(sk0_52)&(((app(app(sk0_51,sk0_49),sk0_52)=sk0_50&strictorderedP(sk0_49))&(![X1]: (~ssItem(X1)|((![X2]: (~ssList(X2)|~app(X2,cons(X1,nil))=sk0_51))|(![X3]: (~ssItem(X3)|((![X4]: (~ssList(X4)|~app(cons(X3,nil),X4)=sk0_49))|~lt(X1,X3))))))))&(![X5]: (~ssItem(X5)|((![X6]: (~ssList(X6)|~app(cons(X5,nil),X6)=sk0_52))|(![X7]: (~ssItem(X7)|((![X8]: (~ssList(X8)|~app(X8,cons(X7,nil))=sk0_49))|~lt(X7,X5)))))))))))&(nil=sk0_50|~nil=sk0_49))&(pd0_0(sk0_48,sk0_47)|(neq(sk0_48,nil)&(~neq(sk0_47,nil)|~segmentP(sk0_48,sk0_47)))))))))),
% 0.15/0.33 inference(skolemization,[status(esa)],[f418])).
% 0.15/0.33 fof(f420,plain,(
% 0.15/0.33 ssList(sk0_47)),
% 0.15/0.33 inference(cnf_transformation,[status(esa)],[f419])).
% 0.15/0.33 fof(f421,plain,(
% 0.15/0.33 ssList(sk0_48)),
% 0.15/0.33 inference(cnf_transformation,[status(esa)],[f419])).
% 0.15/0.33 fof(f424,plain,(
% 0.15/0.33 sk0_48=sk0_50),
% 0.15/0.33 inference(cnf_transformation,[status(esa)],[f419])).
% 0.15/0.33 fof(f425,plain,(
% 0.15/0.33 sk0_47=sk0_49),
% 0.15/0.33 inference(cnf_transformation,[status(esa)],[f419])).
% 0.15/0.33 fof(f426,plain,(
% 0.15/0.33 ssList(sk0_51)),
% 0.15/0.33 inference(cnf_transformation,[status(esa)],[f419])).
% 0.15/0.33 fof(f427,plain,(
% 0.15/0.33 ssList(sk0_52)),
% 0.15/0.33 inference(cnf_transformation,[status(esa)],[f419])).
% 0.15/0.33 fof(f428,plain,(
% 0.15/0.33 app(app(sk0_51,sk0_49),sk0_52)=sk0_50),
% 0.15/0.33 inference(cnf_transformation,[status(esa)],[f419])).
% 0.15/0.33 fof(f431,plain,(
% 0.15/0.33 ![X0,X1,X2,X3]: (~ssItem(X0)|~ssList(X1)|~app(cons(X0,nil),X1)=sk0_52|~ssItem(X2)|~ssList(X3)|~app(X3,cons(X2,nil))=sk0_49|~lt(X2,X0))),
% 0.15/0.33 inference(cnf_transformation,[status(esa)],[f419])).
% 0.15/0.33 fof(f432,plain,(
% 0.15/0.33 nil=sk0_50|~nil=sk0_49),
% 0.15/0.33 inference(cnf_transformation,[status(esa)],[f419])).
% 0.15/0.33 fof(f433,plain,(
% 0.15/0.33 pd0_0(sk0_48,sk0_47)|neq(sk0_48,nil)),
% 0.15/0.33 inference(cnf_transformation,[status(esa)],[f419])).
% 0.15/0.33 fof(f434,plain,(
% 0.15/0.33 pd0_0(sk0_48,sk0_47)|~neq(sk0_47,nil)|~segmentP(sk0_48,sk0_47)),
% 0.15/0.33 inference(cnf_transformation,[status(esa)],[f419])).
% 0.15/0.33 fof(f435,plain,(
% 0.15/0.33 ![U,V]: (~pd0_0(V,U)|(nil=V&~nil=U))),
% 0.15/0.33 inference(pre_NNF_transformation,[status(esa)],[f416])).
% 0.15/0.33 fof(f436,plain,(
% 0.15/0.33 ![X0,X1]: (~pd0_0(X0,X1)|nil=X0)),
% 0.15/0.33 inference(cnf_transformation,[status(esa)],[f435])).
% 0.15/0.33 fof(f437,plain,(
% 0.15/0.33 ![X0,X1]: (~pd0_0(X0,X1)|~nil=X1)),
% 0.15/0.33 inference(cnf_transformation,[status(esa)],[f435])).
% 0.15/0.33 fof(f438,plain,(
% 0.15/0.33 spl0_0 <=> nil=sk0_50),
% 0.15/0.33 introduced(split_symbol_definition)).
% 0.15/0.33 fof(f439,plain,(
% 0.15/0.33 nil=sk0_50|~spl0_0),
% 0.15/0.33 inference(component_clause,[status(thm)],[f438])).
% 0.15/0.33 fof(f441,plain,(
% 0.15/0.33 spl0_1 <=> nil=sk0_49),
% 0.15/0.33 introduced(split_symbol_definition)).
% 0.15/0.33 fof(f443,plain,(
% 0.15/0.33 ~nil=sk0_49|spl0_1),
% 0.15/0.33 inference(component_clause,[status(thm)],[f441])).
% 0.15/0.33 fof(f444,plain,(
% 0.15/0.33 spl0_0|~spl0_1),
% 0.15/0.33 inference(split_clause,[status(thm)],[f432,f438,f441])).
% 0.15/0.33 fof(f445,plain,(
% 0.15/0.33 spl0_2 <=> pd0_0(sk0_48,sk0_47)),
% 0.15/0.33 introduced(split_symbol_definition)).
% 0.15/0.33 fof(f446,plain,(
% 0.15/0.33 pd0_0(sk0_48,sk0_47)|~spl0_2),
% 0.15/0.33 inference(component_clause,[status(thm)],[f445])).
% 0.15/0.33 fof(f448,plain,(
% 0.15/0.33 spl0_3 <=> neq(sk0_48,nil)),
% 0.15/0.33 introduced(split_symbol_definition)).
% 0.15/0.33 fof(f449,plain,(
% 0.15/0.33 neq(sk0_48,nil)|~spl0_3),
% 0.15/0.33 inference(component_clause,[status(thm)],[f448])).
% 0.15/0.33 fof(f451,plain,(
% 0.15/0.33 spl0_2|spl0_3),
% 0.15/0.33 inference(split_clause,[status(thm)],[f433,f445,f448])).
% 0.15/0.33 fof(f452,plain,(
% 0.15/0.33 spl0_4 <=> neq(sk0_47,nil)),
% 0.15/0.33 introduced(split_symbol_definition)).
% 0.15/0.33 fof(f454,plain,(
% 0.15/0.33 ~neq(sk0_47,nil)|spl0_4),
% 0.15/0.33 inference(component_clause,[status(thm)],[f452])).
% 0.15/0.33 fof(f455,plain,(
% 0.15/0.33 spl0_5 <=> segmentP(sk0_48,sk0_47)),
% 0.15/0.33 introduced(split_symbol_definition)).
% 0.15/0.33 fof(f456,plain,(
% 0.15/0.33 segmentP(sk0_48,sk0_47)|~spl0_5),
% 0.15/0.33 inference(component_clause,[status(thm)],[f455])).
% 0.15/0.33 fof(f458,plain,(
% 0.15/0.33 spl0_2|~spl0_4|~spl0_5),
% 0.15/0.33 inference(split_clause,[status(thm)],[f434,f445,f452,f455])).
% 0.15/0.33 fof(f462,plain,(
% 0.15/0.33 ![X0]: (~ssList(cons(X0,nil))|singletonP(cons(X0,nil))|~ssItem(X0))),
% 0.15/0.33 inference(destructive_equality_resolution,[status(esa)],[f118])).
% 0.15/0.33 fof(f463,plain,(
% 0.15/0.33 ![X0,X1]: (~ssList(app(X0,X1))|~ssList(X0)|frontsegP(app(X0,X1),X0)|~ssList(X1))),
% 0.15/0.33 inference(destructive_equality_resolution,[status(esa)],[f124])).
% 0.15/0.33 fof(f465,plain,(
% 0.15/0.33 ![X0,X1,X2]: (~ssList(app(app(X0,X1),X2))|~ssList(X1)|segmentP(app(app(X0,X1),X2),X1)|~ssList(X0)|~ssList(X2))),
% 0.15/0.33 inference(destructive_equality_resolution,[status(esa)],[f137])).
% 0.15/0.33 fof(f474,plain,(
% 0.15/0.33 ![X1]: (~ssList(X1)|~ssList(X1)|~neq(X1,X1))),
% 0.15/0.33 inference(destructive_equality_resolution,[status(esa)],[f219])).
% 0.15/0.33 fof(f475,plain,(
% 0.15/0.33 ![X0]: (~ssList(X0)|~neq(X0,X0))),
% 0.15/0.33 inference(duplicate_literals_removal,[status(esa)],[f474])).
% 0.15/0.33 fof(f489,plain,(
% 0.15/0.33 ![X0]: (~pd0_0(X0,nil))),
% 0.15/0.33 inference(destructive_equality_resolution,[status(esa)],[f437])).
% 0.15/0.33 fof(f493,plain,(
% 0.15/0.33 ~nil=sk0_47|spl0_1),
% 0.15/0.33 inference(forward_demodulation,[status(thm)],[f425,f443])).
% 0.15/0.33 fof(f494,plain,(
% 0.15/0.33 nil=sk0_48|~spl0_2),
% 0.15/0.33 inference(resolution,[status(thm)],[f436,f446])).
% 0.15/0.33 fof(f495,plain,(
% 0.15/0.33 pd0_0(nil,sk0_47)|~spl0_2),
% 0.15/0.33 inference(backward_demodulation,[status(thm)],[f494,f446])).
% 0.15/0.33 fof(f496,plain,(
% 0.15/0.33 nil=sk0_50|~spl0_2),
% 0.15/0.33 inference(backward_demodulation,[status(thm)],[f494,f424])).
% 0.15/0.33 fof(f498,plain,(
% 0.15/0.33 app(app(sk0_51,sk0_47),sk0_52)=sk0_50),
% 0.15/0.33 inference(forward_demodulation,[status(thm)],[f425,f428])).
% 0.15/0.33 fof(f499,plain,(
% 0.15/0.33 app(app(sk0_51,sk0_47),sk0_52)=nil|~spl0_2),
% 0.15/0.33 inference(forward_demodulation,[status(thm)],[f496,f498])).
% 0.15/0.33 fof(f500,plain,(
% 0.15/0.33 spl0_6 <=> ssList(app(app(sk0_51,sk0_47),sk0_52))),
% 0.15/0.33 introduced(split_symbol_definition)).
% 0.15/0.33 fof(f502,plain,(
% 0.15/0.33 ~ssList(app(app(sk0_51,sk0_47),sk0_52))|spl0_6),
% 0.15/0.33 inference(component_clause,[status(thm)],[f500])).
% 0.15/0.33 fof(f503,plain,(
% 0.15/0.33 spl0_7 <=> ssList(sk0_47)),
% 0.15/0.33 introduced(split_symbol_definition)).
% 0.15/0.33 fof(f505,plain,(
% 0.15/0.33 ~ssList(sk0_47)|spl0_7),
% 0.15/0.33 inference(component_clause,[status(thm)],[f503])).
% 0.15/0.33 fof(f506,plain,(
% 0.15/0.33 spl0_8 <=> segmentP(nil,sk0_47)),
% 0.15/0.33 introduced(split_symbol_definition)).
% 0.15/0.33 fof(f507,plain,(
% 0.15/0.33 segmentP(nil,sk0_47)|~spl0_8),
% 0.15/0.33 inference(component_clause,[status(thm)],[f506])).
% 0.15/0.33 fof(f509,plain,(
% 0.15/0.33 spl0_9 <=> ssList(sk0_51)),
% 0.15/0.33 introduced(split_symbol_definition)).
% 0.15/0.33 fof(f511,plain,(
% 0.15/0.33 ~ssList(sk0_51)|spl0_9),
% 0.15/0.33 inference(component_clause,[status(thm)],[f509])).
% 0.15/0.33 fof(f512,plain,(
% 0.15/0.33 spl0_10 <=> ssList(sk0_52)),
% 0.15/0.33 introduced(split_symbol_definition)).
% 0.15/0.33 fof(f514,plain,(
% 0.15/0.33 ~ssList(sk0_52)|spl0_10),
% 0.15/0.33 inference(component_clause,[status(thm)],[f512])).
% 0.15/0.33 fof(f515,plain,(
% 0.15/0.33 ~ssList(app(app(sk0_51,sk0_47),sk0_52))|~ssList(sk0_47)|segmentP(nil,sk0_47)|~ssList(sk0_51)|~ssList(sk0_52)|~spl0_2),
% 0.15/0.33 inference(paramodulation,[status(thm)],[f499,f465])).
% 0.15/0.33 fof(f516,plain,(
% 0.15/0.33 ~spl0_6|~spl0_7|spl0_8|~spl0_9|~spl0_10|~spl0_2),
% 0.15/0.33 inference(split_clause,[status(thm)],[f515,f500,f503,f506,f509,f512,f445])).
% 0.15/0.33 fof(f520,plain,(
% 0.15/0.33 spl0_12 <=> ssList(app(sk0_51,sk0_47))),
% 0.15/0.33 introduced(split_symbol_definition)).
% 0.15/0.33 fof(f522,plain,(
% 0.15/0.33 ~ssList(app(sk0_51,sk0_47))|spl0_12),
% 0.15/0.33 inference(component_clause,[status(thm)],[f520])).
% 0.15/0.33 fof(f525,plain,(
% 0.15/0.33 $false|spl0_9),
% 0.15/0.33 inference(forward_subsumption_resolution,[status(thm)],[f511,f426])).
% 0.15/0.33 fof(f526,plain,(
% 0.15/0.33 spl0_9),
% 0.15/0.33 inference(contradiction_clause,[status(thm)],[f525])).
% 0.15/0.33 fof(f527,plain,(
% 0.15/0.33 $false|spl0_7),
% 0.15/0.33 inference(forward_subsumption_resolution,[status(thm)],[f505,f420])).
% 0.15/0.33 fof(f528,plain,(
% 0.15/0.33 spl0_7),
% 0.15/0.33 inference(contradiction_clause,[status(thm)],[f527])).
% 0.15/0.33 fof(f529,plain,(
% 0.15/0.33 app(app(sk0_51,sk0_47),sk0_52)=sk0_48),
% 0.15/0.33 inference(forward_demodulation,[status(thm)],[f424,f498])).
% 0.15/0.33 fof(f530,plain,(
% 0.15/0.33 ~ssList(sk0_48)|spl0_6),
% 0.15/0.33 inference(backward_demodulation,[status(thm)],[f529,f502])).
% 0.15/0.33 fof(f531,plain,(
% 0.15/0.33 $false|spl0_6),
% 0.15/0.33 inference(forward_subsumption_resolution,[status(thm)],[f530,f421])).
% 0.15/0.33 fof(f532,plain,(
% 0.15/0.33 spl0_6),
% 0.15/0.33 inference(contradiction_clause,[status(thm)],[f531])).
% 0.15/0.33 fof(f533,plain,(
% 0.15/0.33 ~ssList(app(app(sk0_51,sk0_47),sk0_52))|~ssList(sk0_47)|segmentP(sk0_48,sk0_47)|~ssList(sk0_51)|~ssList(sk0_52)),
% 0.15/0.33 inference(paramodulation,[status(thm)],[f529,f465])).
% 0.15/0.33 fof(f534,plain,(
% 0.15/0.33 ~spl0_6|~spl0_7|spl0_5|~spl0_9|~spl0_10),
% 0.15/0.33 inference(split_clause,[status(thm)],[f533,f500,f503,f455,f509,f512])).
% 0.15/0.33 fof(f535,plain,(
% 0.15/0.33 spl0_13 <=> ~ssList(app(app(app(sk0_51,sk0_47),sk0_52),X0))|segmentP(app(sk0_48,X0),sk0_52)|~ssList(X0)),
% 0.15/0.33 introduced(split_symbol_definition)).
% 0.15/0.33 fof(f536,plain,(
% 0.15/0.33 ![X0]: (~ssList(app(app(app(sk0_51,sk0_47),sk0_52),X0))|segmentP(app(sk0_48,X0),sk0_52)|~ssList(X0)|~spl0_13)),
% 0.15/0.33 inference(component_clause,[status(thm)],[f535])).
% 0.15/0.33 fof(f538,plain,(
% 0.15/0.33 ![X0]: (~ssList(app(app(app(sk0_51,sk0_47),sk0_52),X0))|~ssList(sk0_52)|segmentP(app(sk0_48,X0),sk0_52)|~ssList(app(sk0_51,sk0_47))|~ssList(X0))),
% 0.15/0.33 inference(paramodulation,[status(thm)],[f529,f465])).
% 0.15/0.33 fof(f539,plain,(
% 0.15/0.33 spl0_13|~spl0_10|~spl0_12),
% 0.15/0.33 inference(split_clause,[status(thm)],[f538,f535,f512,f520])).
% 0.15/0.33 fof(f540,plain,(
% 0.15/0.33 $false|spl0_10),
% 0.15/0.33 inference(forward_subsumption_resolution,[status(thm)],[f514,f427])).
% 0.15/0.33 fof(f541,plain,(
% 0.15/0.33 spl0_10),
% 0.15/0.33 inference(contradiction_clause,[status(thm)],[f540])).
% 0.15/0.33 fof(f549,plain,(
% 0.15/0.33 spl0_16 <=> sk0_47=nil),
% 0.15/0.33 introduced(split_symbol_definition)).
% 0.15/0.33 fof(f550,plain,(
% 0.15/0.33 sk0_47=nil|~spl0_16),
% 0.15/0.33 inference(component_clause,[status(thm)],[f549])).
% 0.15/0.33 fof(f565,plain,(
% 0.15/0.33 ![X0,X1,X2,X3]: (~ssItem(X0)|~ssList(X1)|~app(cons(X0,nil),X1)=sk0_52|~ssItem(X2)|~ssList(X3)|~app(X3,cons(X2,nil))=sk0_47|~lt(X2,X0))),
% 0.15/0.33 inference(forward_demodulation,[status(thm)],[f425,f431])).
% 0.15/0.33 fof(f566,plain,(
% 0.15/0.33 ~ssList(sk0_47)|nil=sk0_47|~spl0_8),
% 0.15/0.33 inference(resolution,[status(thm)],[f326,f507])).
% 0.15/0.33 fof(f567,plain,(
% 0.15/0.33 ~spl0_7|spl0_16|~spl0_8),
% 0.15/0.33 inference(split_clause,[status(thm)],[f566,f503,f549,f506])).
% 0.15/0.33 fof(f568,plain,(
% 0.15/0.33 spl0_17 <=> ssList(nil)),
% 0.15/0.33 introduced(split_symbol_definition)).
% 0.15/0.33 fof(f570,plain,(
% 0.15/0.33 ~ssList(nil)|spl0_17),
% 0.15/0.33 inference(component_clause,[status(thm)],[f568])).
% 0.15/0.33 fof(f571,plain,(
% 0.15/0.33 spl0_18 <=> nil=nil),
% 0.15/0.33 introduced(split_symbol_definition)).
% 0.15/0.33 fof(f574,plain,(
% 0.15/0.33 ~ssList(nil)|nil=nil|~ssList(nil)),
% 0.15/0.33 inference(resolution,[status(thm)],[f326,f323])).
% 0.15/0.33 fof(f575,plain,(
% 0.15/0.33 ~spl0_17|spl0_18),
% 0.15/0.33 inference(split_clause,[status(thm)],[f574,f568,f571])).
% 0.15/0.33 fof(f578,plain,(
% 0.15/0.33 $false|spl0_17),
% 0.15/0.33 inference(forward_subsumption_resolution,[status(thm)],[f570,f223])).
% 0.15/0.33 fof(f579,plain,(
% 0.15/0.33 spl0_17),
% 0.15/0.33 inference(contradiction_clause,[status(thm)],[f578])).
% 0.15/0.33 fof(f580,plain,(
% 0.15/0.33 $false|spl0_1|~spl0_16),
% 0.15/0.33 inference(forward_subsumption_resolution,[status(thm)],[f550,f493])).
% 0.15/0.33 fof(f581,plain,(
% 0.15/0.33 spl0_1|~spl0_16),
% 0.15/0.33 inference(contradiction_clause,[status(thm)],[f580])).
% 0.15/0.33 fof(f583,plain,(
% 0.15/0.33 ~ssList(sk0_51)|~ssList(sk0_47)|spl0_12),
% 0.15/0.33 inference(resolution,[status(thm)],[f245,f522])).
% 0.15/0.33 fof(f584,plain,(
% 0.15/0.33 ~spl0_9|~spl0_7|spl0_12),
% 0.15/0.33 inference(split_clause,[status(thm)],[f583,f509,f503,f520])).
% 0.15/0.33 fof(f589,plain,(
% 0.15/0.33 spl0_19 <=> ssList(sk0_48)),
% 0.15/0.33 introduced(split_symbol_definition)).
% 0.15/0.33 fof(f592,plain,(
% 0.15/0.33 ~ssList(app(sk0_51,sk0_47))|~ssList(sk0_52)|ssList(sk0_48)),
% 0.15/0.33 inference(paramodulation,[status(thm)],[f529,f245])).
% 0.15/0.33 fof(f593,plain,(
% 0.15/0.33 ~spl0_12|~spl0_10|spl0_19),
% 0.15/0.33 inference(split_clause,[status(thm)],[f592,f520,f512,f589])).
% 0.15/0.33 fof(f598,plain,(
% 0.15/0.33 spl0_20 <=> ~ssList(sk0_2(X0,nil))|~ssList(cons(X0,sk0_3(X0,nil)))|nil=cons(X0,sk0_3(X0,nil))|~ssItem(X0)|~memberP(nil,X0)),
% 0.15/0.33 introduced(split_symbol_definition)).
% 0.15/0.33 fof(f601,plain,(
% 0.15/0.33 ![X0]: (~ssList(sk0_2(X0,nil))|~ssList(cons(X0,sk0_3(X0,nil)))|nil=cons(X0,sk0_3(X0,nil))|~ssList(nil)|~ssItem(X0)|~memberP(nil,X0))),
% 0.15/0.33 inference(resolution,[status(thm)],[f385,f111])).
% 0.15/0.33 fof(f602,plain,(
% 0.15/0.33 spl0_20|~spl0_17),
% 0.15/0.33 inference(split_clause,[status(thm)],[f601,f598,f568])).
% 0.15/0.33 fof(f605,plain,(
% 0.15/0.33 spl0_21 <=> nil=sk0_48),
% 0.15/0.33 introduced(split_symbol_definition)).
% 0.15/0.33 fof(f606,plain,(
% 0.15/0.33 nil=sk0_48|~spl0_21),
% 0.15/0.33 inference(component_clause,[status(thm)],[f605])).
% 0.15/0.33 fof(f607,plain,(
% 0.15/0.33 ~nil=sk0_48|spl0_21),
% 0.15/0.33 inference(component_clause,[status(thm)],[f605])).
% 0.15/0.33 fof(f615,plain,(
% 0.15/0.33 spl0_23 <=> ~ssList(sk0_2(X0,nil))|~ssList(cons(X0,sk0_3(X0,nil)))|nil=sk0_2(X0,nil)|~ssItem(X0)|~memberP(nil,X0)),
% 0.15/0.33 introduced(split_symbol_definition)).
% 0.15/0.33 fof(f618,plain,(
% 0.15/0.33 ![X0]: (~ssList(sk0_2(X0,nil))|~ssList(cons(X0,sk0_3(X0,nil)))|nil=sk0_2(X0,nil)|~ssList(nil)|~ssItem(X0)|~memberP(nil,X0))),
% 0.15/0.33 inference(resolution,[status(thm)],[f386,f111])).
% 0.15/0.33 fof(f619,plain,(
% 0.15/0.33 spl0_23|~spl0_17),
% 0.15/0.33 inference(split_clause,[status(thm)],[f618,f615,f568])).
% 0.15/0.33 fof(f629,plain,(
% 0.15/0.33 spl0_25 <=> ~ssList(X0)|~segmentP(nil,X0)|nil=X0|~ssList(X0)),
% 0.15/0.33 introduced(split_symbol_definition)).
% 0.15/0.33 fof(f632,plain,(
% 0.15/0.33 ![X0]: (~ssList(nil)|~ssList(X0)|~segmentP(nil,X0)|nil=X0|~ssList(X0))),
% 0.15/0.33 inference(resolution,[status(thm)],[f317,f323])).
% 0.15/0.33 fof(f633,plain,(
% 0.15/0.33 ~spl0_17|spl0_25),
% 0.15/0.33 inference(split_clause,[status(thm)],[f632,f568,f629])).
% 0.15/0.33 fof(f635,plain,(
% 0.15/0.33 spl0_26 <=> ~ssItem(X0)|~ssItem(X0)),
% 0.15/0.33 introduced(split_symbol_definition)).
% 0.15/0.33 fof(f636,plain,(
% 0.15/0.33 ![X0]: (~ssItem(X0)|~ssItem(X0)|~spl0_26)),
% 0.15/0.33 inference(component_clause,[status(thm)],[f635])).
% 0.15/0.33 fof(f643,plain,(
% 0.15/0.33 spl0_28 <=> ~ssList(X0)|~ssList(X0)),
% 0.15/0.33 introduced(split_symbol_definition)).
% 0.15/0.33 fof(f644,plain,(
% 0.15/0.33 ![X0]: (~ssList(X0)|~ssList(X0)|~spl0_28)),
% 0.15/0.33 inference(component_clause,[status(thm)],[f643])).
% 0.15/0.33 fof(f646,plain,(
% 0.15/0.33 spl0_29 <=> ~ssItem(X1)|~ssItem(X1)|X1=X1),
% 0.15/0.33 introduced(split_symbol_definition)).
% 0.15/0.33 fof(f649,plain,(
% 0.15/0.33 ![X0,X1]: (~ssList(X0)|~ssList(X0)|~ssItem(X1)|~ssItem(X1)|X1=X1)),
% 0.15/0.33 inference(equality_resolution,[status(esa)],[f227])).
% 0.15/0.33 fof(f650,plain,(
% 0.15/0.33 spl0_28|spl0_29),
% 0.15/0.33 inference(split_clause,[status(thm)],[f649,f643,f646])).
% 0.15/0.33 fof(f651,plain,(
% 0.15/0.33 ![X0]: (~ssList(X0)|~spl0_28)),
% 0.15/0.33 inference(duplicate_literals_removal,[status(esa)],[f644])).
% 0.15/0.33 fof(f652,plain,(
% 0.15/0.33 spl0_30 <=> ~ssList(X0)|~ssList(X0)|X0=X0),
% 0.15/0.33 introduced(split_symbol_definition)).
% 0.15/0.33 fof(f655,plain,(
% 0.15/0.33 ![X0,X1]: (~ssList(X0)|~ssList(X0)|~ssItem(X1)|~ssItem(X1)|X0=X0)),
% 0.15/0.33 inference(equality_resolution,[status(esa)],[f228])).
% 0.15/0.33 fof(f656,plain,(
% 0.15/0.33 spl0_30|spl0_26),
% 0.15/0.33 inference(split_clause,[status(thm)],[f655,f652,f635])).
% 0.15/0.33 fof(f657,plain,(
% 0.15/0.33 ![X0]: (~ssItem(X0)|~spl0_26)),
% 0.15/0.33 inference(duplicate_literals_removal,[status(esa)],[f636])).
% 0.15/0.33 fof(f658,plain,(
% 0.15/0.33 spl0_31 <=> ~ssList(cons(X0,X1))|~singletonP(cons(X0,X1))|~ssList(X1)|~ssItem(sk0_4(cons(X0,X1)))|~ssItem(X0)|X1=nil),
% 0.15/0.33 introduced(split_symbol_definition)).
% 0.15/0.33 fof(f661,plain,(
% 0.15/0.33 ![X0,X1]: (~ssList(cons(X0,X1))|~singletonP(cons(X0,X1))|~ssList(nil)|~ssList(X1)|~ssItem(sk0_4(cons(X0,X1)))|~ssItem(X0)|X1=nil)),
% 0.15/0.33 inference(resolution,[status(thm)],[f117,f228])).
% 0.15/0.33 fof(f662,plain,(
% 0.15/0.33 spl0_31|~spl0_17),
% 0.15/0.33 inference(split_clause,[status(thm)],[f661,f658,f568])).
% 0.15/0.33 fof(f663,plain,(
% 0.15/0.33 spl0_32 <=> ~ssList(cons(X0,X1))|~singletonP(cons(X0,X1))|~ssList(X1)|~ssItem(sk0_4(cons(X0,X1)))|~ssItem(X0)|sk0_4(cons(X0,X1))=X0),
% 0.15/0.33 introduced(split_symbol_definition)).
% 0.15/0.33 fof(f666,plain,(
% 0.15/0.33 ![X0,X1]: (~ssList(cons(X0,X1))|~singletonP(cons(X0,X1))|~ssList(nil)|~ssList(X1)|~ssItem(sk0_4(cons(X0,X1)))|~ssItem(X0)|sk0_4(cons(X0,X1))=X0)),
% 0.15/0.33 inference(resolution,[status(thm)],[f117,f227])).
% 0.15/0.33 fof(f667,plain,(
% 0.15/0.33 spl0_32|~spl0_17),
% 0.15/0.33 inference(split_clause,[status(thm)],[f666,f663,f568])).
% 0.15/0.33 fof(f684,plain,(
% 0.15/0.33 spl0_35 <=> singletonP(cons(X0,nil))|~ssItem(X0)|~ssItem(X0)),
% 0.15/0.33 introduced(split_symbol_definition)).
% 0.15/0.33 fof(f687,plain,(
% 0.15/0.33 ![X0]: (singletonP(cons(X0,nil))|~ssItem(X0)|~ssList(nil)|~ssItem(X0))),
% 0.15/0.33 inference(resolution,[status(thm)],[f462,f222])).
% 0.15/0.33 fof(f688,plain,(
% 0.15/0.33 spl0_35|~spl0_17),
% 0.15/0.33 inference(split_clause,[status(thm)],[f687,f684,f568])).
% 0.15/0.33 fof(f696,plain,(
% 0.15/0.33 nil=sk0_48|~spl0_0),
% 0.15/0.33 inference(forward_demodulation,[status(thm)],[f424,f439])).
% 0.15/0.33 fof(f699,plain,(
% 0.15/0.33 ~nil=nil|~spl0_0|spl0_21),
% 0.15/0.33 inference(forward_demodulation,[status(thm)],[f696,f607])).
% 0.15/0.33 fof(f700,plain,(
% 0.15/0.33 $false|~spl0_0|spl0_21),
% 0.15/0.33 inference(trivial_equality_resolution,[status(esa)],[f699])).
% 0.15/0.33 fof(f701,plain,(
% 0.15/0.33 ~spl0_0|spl0_21),
% 0.15/0.33 inference(contradiction_clause,[status(thm)],[f700])).
% 0.15/0.33 fof(f702,plain,(
% 0.15/0.33 $false|~spl0_28),
% 0.15/0.33 inference(backward_subsumption_resolution,[status(thm)],[f427,f651])).
% 0.15/0.33 fof(f703,plain,(
% 0.15/0.33 ~spl0_28),
% 0.15/0.33 inference(contradiction_clause,[status(thm)],[f702])).
% 0.15/0.33 fof(f704,plain,(
% 0.15/0.33 $false|~spl0_26),
% 0.15/0.33 inference(backward_subsumption_resolution,[status(thm)],[f104,f657])).
% 0.15/0.33 fof(f705,plain,(
% 0.15/0.33 ~spl0_26),
% 0.15/0.33 inference(contradiction_clause,[status(thm)],[f704])).
% 0.15/0.33 fof(f706,plain,(
% 0.15/0.33 ![X0]: (~ssList(app(sk0_48,X0))|segmentP(app(sk0_48,X0),sk0_52)|~ssList(X0)|~spl0_13)),
% 0.15/0.33 inference(backward_demodulation,[status(thm)],[f529,f536])).
% 0.15/0.33 fof(f718,plain,(
% 0.15/0.33 ~ssList(sk0_47)|~ssList(nil)|sk0_47=nil|spl0_4),
% 0.15/0.33 inference(resolution,[status(thm)],[f220,f454])).
% 0.15/0.33 fof(f719,plain,(
% 0.15/0.33 ~spl0_7|~spl0_17|spl0_16|spl0_4),
% 0.15/0.33 inference(split_clause,[status(thm)],[f718,f503,f568,f549,f452])).
% 0.15/0.33 fof(f722,plain,(
% 0.15/0.33 spl0_36 <=> ~ssList(X0)|~ssList(app(sk0_48,X1))|~segmentP(X0,app(sk0_48,X1))|segmentP(X0,sk0_52)|~ssList(app(sk0_48,X1))|~ssList(X1)),
% 0.15/0.33 introduced(split_symbol_definition)).
% 0.15/0.33 fof(f725,plain,(
% 0.15/0.33 ![X0,X1]: (~ssList(X0)|~ssList(app(sk0_48,X1))|~ssList(sk0_52)|~segmentP(X0,app(sk0_48,X1))|segmentP(X0,sk0_52)|~ssList(app(sk0_48,X1))|~ssList(X1)|~spl0_13)),
% 0.15/0.33 inference(resolution,[status(thm)],[f315,f706])).
% 0.15/0.33 fof(f726,plain,(
% 0.15/0.33 spl0_36|~spl0_10|~spl0_13),
% 0.15/0.33 inference(split_clause,[status(thm)],[f725,f722,f512,f535])).
% 0.15/0.33 fof(f727,plain,(
% 0.15/0.33 spl0_37 <=> ~ssList(X0)|~segmentP(X0,sk0_48)|segmentP(X0,sk0_47)),
% 0.15/0.33 introduced(split_symbol_definition)).
% 0.15/0.33 fof(f730,plain,(
% 0.15/0.33 ![X0]: (~ssList(X0)|~ssList(sk0_48)|~ssList(sk0_47)|~segmentP(X0,sk0_48)|segmentP(X0,sk0_47)|~spl0_5)),
% 0.15/0.33 inference(resolution,[status(thm)],[f315,f456])).
% 0.15/0.33 fof(f731,plain,(
% 0.15/0.33 spl0_37|~spl0_19|~spl0_7|~spl0_5),
% 0.15/0.33 inference(split_clause,[status(thm)],[f730,f727,f589,f503,f455])).
% 0.15/0.33 fof(f732,plain,(
% 0.15/0.33 spl0_38 <=> ~ssList(X0)|~ssList(X1)|~segmentP(X0,X1)|segmentP(X0,nil)|~ssList(X1)),
% 0.15/0.33 introduced(split_symbol_definition)).
% 0.15/0.33 fof(f735,plain,(
% 0.15/0.33 ![X0,X1]: (~ssList(X0)|~ssList(X1)|~ssList(nil)|~segmentP(X0,X1)|segmentP(X0,nil)|~ssList(X1))),
% 0.15/0.33 inference(resolution,[status(thm)],[f315,f323])).
% 0.15/0.33 fof(f736,plain,(
% 0.15/0.33 spl0_38|~spl0_17),
% 0.15/0.33 inference(split_clause,[status(thm)],[f735,f732,f568])).
% 0.15/0.33 fof(f741,plain,(
% 0.15/0.33 spl0_39 <=> ~ssList(X0)|~segmentP(sk0_47,X0)|segmentP(sk0_48,X0)),
% 0.15/0.33 introduced(split_symbol_definition)).
% 0.15/0.33 fof(f744,plain,(
% 0.15/0.33 ![X0]: (~ssList(sk0_47)|~ssList(X0)|~ssList(sk0_51)|~ssList(sk0_52)|~segmentP(sk0_47,X0)|segmentP(sk0_48,X0))),
% 0.15/0.33 inference(paramodulation,[status(thm)],[f529,f321])).
% 0.15/0.33 fof(f745,plain,(
% 0.15/0.33 ~spl0_7|spl0_39|~spl0_9|~spl0_10),
% 0.15/0.33 inference(split_clause,[status(thm)],[f744,f503,f741,f509,f512])).
% 0.15/0.33 fof(f746,plain,(
% 0.15/0.33 spl0_40 <=> ~ssList(X0)|~ssList(X1)|~segmentP(sk0_52,X0)|segmentP(app(sk0_48,X1),X0)),
% 0.15/0.33 introduced(split_symbol_definition)).
% 0.15/0.33 fof(f749,plain,(
% 0.15/0.33 ![X0,X1]: (~ssList(sk0_52)|~ssList(X0)|~ssList(app(sk0_51,sk0_47))|~ssList(X1)|~segmentP(sk0_52,X0)|segmentP(app(sk0_48,X1),X0))),
% 0.15/0.33 inference(paramodulation,[status(thm)],[f529,f321])).
% 0.15/0.33 fof(f750,plain,(
% 0.15/0.33 ~spl0_10|spl0_40|~spl0_12),
% 0.15/0.33 inference(split_clause,[status(thm)],[f749,f512,f746,f520])).
% 0.15/0.33 fof(f751,plain,(
% 0.15/0.57 spl0_41 <=> ~ssList(cons(X0,nil))|~frontsegP(sk0_52,cons(X0,nil))|~ssItem(X0)|~ssList(sk0_5(cons(X0,nil),sk0_52))|~ssItem(X1)|~ssList(X2)|~app(X2,cons(X1,nil))=sk0_47|~lt(X1,X0)),
% 0.15/0.57 introduced(split_symbol_definition)).
% 0.15/0.57 fof(f754,plain,(
% 0.15/0.57 ![X0,X1,X2]: (~ssList(sk0_52)|~ssList(cons(X0,nil))|~frontsegP(sk0_52,cons(X0,nil))|~ssItem(X0)|~ssList(sk0_5(cons(X0,nil),sk0_52))|~ssItem(X1)|~ssList(X2)|~app(X2,cons(X1,nil))=sk0_47|~lt(X1,X0))),
% 0.15/0.57 inference(resolution,[status(thm)],[f123,f565])).
% 0.15/0.57 fof(f755,plain,(
% 0.15/0.57 ~spl0_10|spl0_41),
% 0.15/0.57 inference(split_clause,[status(thm)],[f754,f512,f751])).
% 0.15/0.57 fof(f756,plain,(
% 0.15/0.57 ![X0,X1]: (~ssList(X0)|frontsegP(app(X0,X1),X0)|~ssList(X1))),
% 0.15/0.57 inference(forward_subsumption_resolution,[status(thm)],[f463,f245])).
% 0.15/0.57 fof(f757,plain,(
% 0.15/0.57 spl0_42 <=> frontsegP(sk0_48,app(sk0_51,sk0_47))),
% 0.15/0.57 introduced(split_symbol_definition)).
% 0.15/0.57 fof(f760,plain,(
% 0.15/0.57 ~ssList(app(sk0_51,sk0_47))|frontsegP(sk0_48,app(sk0_51,sk0_47))|~ssList(sk0_52)),
% 0.15/0.57 inference(paramodulation,[status(thm)],[f529,f756])).
% 0.15/0.57 fof(f761,plain,(
% 0.15/0.57 ~spl0_12|spl0_42|~spl0_10),
% 0.15/0.57 inference(split_clause,[status(thm)],[f760,f520,f757,f512])).
% 0.15/0.57 fof(f770,plain,(
% 0.15/0.57 neq(nil,nil)|~spl0_21|~spl0_3),
% 0.15/0.57 inference(backward_demodulation,[status(thm)],[f606,f449])).
% 0.15/0.57 fof(f814,plain,(
% 0.15/0.57 ~ssList(nil)|~spl0_21|~spl0_3),
% 0.15/0.57 inference(resolution,[status(thm)],[f770,f475])).
% 0.15/0.57 fof(f815,plain,(
% 0.15/0.57 ~spl0_17|~spl0_21|~spl0_3),
% 0.15/0.57 inference(split_clause,[status(thm)],[f814,f568,f605,f448])).
% 0.15/0.57 fof(f820,plain,(
% 0.15/0.57 pd0_0(nil,nil)|~spl0_16|~spl0_2),
% 0.15/0.57 inference(forward_demodulation,[status(thm)],[f550,f495])).
% 0.15/0.57 fof(f821,plain,(
% 0.15/0.57 $false|~spl0_16|~spl0_2),
% 0.15/0.57 inference(forward_subsumption_resolution,[status(thm)],[f820,f489])).
% 0.15/0.57 fof(f822,plain,(
% 0.15/0.57 ~spl0_16|~spl0_2),
% 0.15/0.57 inference(contradiction_clause,[status(thm)],[f821])).
% 0.15/0.57 fof(f823,plain,(
% 0.15/0.57 $false),
% 0.15/0.57 inference(sat_refutation,[status(thm)],[f444,f451,f458,f516,f526,f528,f532,f534,f539,f541,f567,f575,f579,f581,f584,f593,f602,f619,f633,f650,f656,f662,f667,f688,f701,f703,f705,f719,f726,f731,f736,f745,f750,f755,f761,f815,f822])).
% 0.15/0.57 % SZS output end CNFRefutation for theBenchmark.p
% 0.15/0.57 % Elapsed time: 0.028423 seconds
% 0.15/0.57 % CPU time: 0.033962 seconds
% 0.15/0.57 % Memory used: 6.325 MB
%------------------------------------------------------------------------------