%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SWC122+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 : n004.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 02:41:38 PM UTC 2026
% Result : Theorem 10.42s 7.03s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC122+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/5.54 % Computer : n004.cluster.edu
% 0.10/5.54 % Model : x86_64 x86_64
% 0.10/5.54 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/5.54 % Memory : 8046.5625MB
% 0.10/5.54 % OS : Linux 6.8.0-71-generic
% 0.10/5.54 % CPULimit : 300
% 0.10/5.54 % WCLimit : 300
% 0.10/5.54 % DateTime : Mon Sep 21 07:56:58 UTC 2026
% 0.10/5.54 % CPUTime :
% 0.10/5.56 % Drodi V4.1.1
% 10.42/7.03 % Refutation found
% 10.42/7.03 % SZS status Theorem for theBenchmark: Theorem is valid
% 10.42/7.03 % SZS output start CNFRefutation for theBenchmark
% 10.42/7.03 fof(f2,axiom,(
% 10.42/7.03 (? [U] :( ssItem(U)& (? [V] :( ssItem(V)& U != V ) )) )),
% 10.42/7.03 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 10.42/7.03 fof(f6,axiom,(
% 10.42/7.03 (! [U] :( ssList(U)=> (! [V] :( ssList(V)=> ( rearsegP(U,V)<=> (? [W] :( ssList(W)& app(W,V) = U ) )) ) )) )),
% 10.42/7.03 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 10.42/7.03 fof(f17,axiom,(
% 10.42/7.03 ssList(nil) ),
% 10.42/7.03 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 10.42/7.03 fof(f18,axiom,(
% 10.42/7.03 (! [U] :( ssList(U)=> (! [V] :( ssItem(V)=> cons(V,U) != U ) )) )),
% 10.42/7.03 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 10.42/7.03 fof(f21,axiom,(
% 10.42/7.03 (! [U] :( ssList(U)=> (! [V] :( ssItem(V)=> nil != cons(V,U) ) )) )),
% 10.42/7.03 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 10.42/7.03 fof(f28,axiom,(
% 10.42/7.03 (! [U] :( ssList(U)=> app(nil,U) = U ) )),
% 10.42/7.03 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 10.42/7.03 fof(f55,axiom,(
% 10.42/7.03 (! [U] :( ssList(U)=> segmentP(U,U) ) )),
% 10.42/7.03 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 10.42/7.03 fof(f56,axiom,(
% 10.42/7.03 (! [U] :( ssList(U)=> (! [V] :( ssList(V)=> (! [W] :( ssList(W)=> (! [X] :( ssList(X)=> ( segmentP(U,V)=> segmentP(app(app(W,U),X),V) ) ) )) )) )) )),
% 10.42/7.03 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 10.42/7.03 fof(f84,axiom,(
% 10.42/7.03 (! [U] :( ssList(U)=> app(U,nil) = U ) )),
% 10.42/7.03 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 10.42/7.03 fof(f96,conjecture,(
% 10.42/7.03 (! [U] :( ssList(U)=> (! [V] :( ssList(V)=> (! [W] :( ssList(W)=> (! [X] :( ssList(X)=> ( V != X| U != W| ~ neq(V,nil)| ( nil != W& nil = X )| ( neq(U,nil)& segmentP(V,U) )| ( neq(X,nil)& ( ~ neq(W,nil)| ~ rearsegP(X,W) ) ) ) ) )) )) )) )),
% 10.42/7.03 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 10.42/7.03 fof(f97,negated_conjecture,(
% 10.42/7.03 ~((! [U] :( ssList(U)=> (! [V] :( ssList(V)=> (! [W] :( ssList(W)=> (! [X] :( ssList(X)=> ( V != X| U != W| ~ neq(V,nil)| ( nil != W& nil = X )| ( neq(U,nil)& segmentP(V,U) )| ( neq(X,nil)& ( ~ neq(W,nil)| ~ rearsegP(X,W) ) ) ) ) )) )) )) ))),
% 10.42/7.03 inference(negated_conjecture,[status(cth)],[f96])).
% 10.42/7.03 fof(f102,plain,(
% 10.42/7.03 (ssItem(sK0_skl)&(ssItem(sK1_skl)&~sK0_skl=sK1_skl))),
% 10.42/7.03 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl,sK1_skl]),skolemize(U,sK0_skl),skolemize(V,sK1_skl)],[f2])).
% 10.42/7.03 fof(f103,plain,(
% 10.42/7.03 ssItem(sK0_skl)),
% 10.42/7.03 inference(cnf_transformation,[status(thm)],[f102])).
% 10.42/7.03 fof(f104,plain,(
% 10.42/7.03 ssItem(sK1_skl)),
% 10.42/7.03 inference(cnf_transformation,[status(thm)],[f102])).
% 10.42/7.03 fof(f105,plain,(
% 10.42/7.03 ~sK0_skl=sK1_skl),
% 10.42/7.03 inference(cnf_transformation,[status(thm)],[f102])).
% 10.42/7.03 fof(f125,plain,(
% 10.42/7.03 ![U]: (~ssList(U)|(![V]: (~ssList(V)|(rearsegP(U,V)<=>(?[W]: (ssList(W)&app(W,V)=U))))))),
% 10.42/7.03 inference(pre_NNF_transformation,[status(thm)],[f6])).
% 10.42/7.03 fof(f126,plain,(
% 10.42/7.03 ![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)))))))),
% 10.42/7.03 inference(NNF_transformation,[status(thm)],[f125])).
% 10.42/7.03 fof(f127,plain,(
% 10.42/7.03 ![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)))))))),
% 10.42/7.03 inference(skolemize,[status(esa),new_symbols(skolem,[sK6_skl]),skolemize(W,sK6_skl(V,U))],[f126])).
% 10.42/7.03 fof(f128,plain,(
% 10.42/7.03 ![X0,X1]: (~ssList(X0)|~ssList(X1)|~rearsegP(X0,X1)|ssList(sK6_skl(X1,X0)))),
% 10.42/7.03 inference(cnf_transformation,[status(thm)],[f127])).
% 10.42/7.03 fof(f129,plain,(
% 10.42/7.03 ![X0,X1]: (~ssList(X0)|~ssList(X1)|~rearsegP(X0,X1)|app(sK6_skl(X1,X0),X1)=X0)),
% 10.42/7.03 inference(cnf_transformation,[status(thm)],[f127])).
% 10.42/7.03 fof(f223,plain,(
% 10.42/7.03 ssList(nil)),
% 10.42/7.03 inference(cnf_transformation,[status(thm)],[f17])).
% 10.42/7.03 fof(f224,plain,(
% 10.42/7.03 ![U]: (~ssList(U)|(![V]: (~ssItem(V)|~cons(V,U)=U)))),
% 10.42/7.03 inference(pre_NNF_transformation,[status(thm)],[f18])).
% 10.42/7.03 fof(f225,plain,(
% 10.42/7.03 ![X0,X1]: (~ssList(X0)|~ssItem(X1)|~cons(X1,X0)=X0)),
% 10.42/7.03 inference(cnf_transformation,[status(thm)],[f224])).
% 10.42/7.03 fof(f234,plain,(
% 10.42/7.03 ![U]: (~ssList(U)|(![V]: (~ssItem(V)|~nil=cons(V,U))))),
% 10.42/7.03 inference(pre_NNF_transformation,[status(thm)],[f21])).
% 10.42/7.03 fof(f235,plain,(
% 10.42/7.03 ![X0,X1]: (~ssList(X0)|~ssItem(X1)|~nil=cons(X1,X0))),
% 10.42/7.03 inference(cnf_transformation,[status(thm)],[f234])).
% 10.42/7.03 fof(f248,plain,(
% 10.42/7.03 ![U]: (~ssList(U)|app(nil,U)=U)),
% 10.42/7.03 inference(pre_NNF_transformation,[status(thm)],[f28])).
% 10.42/7.03 fof(f249,plain,(
% 10.42/7.03 ![X0]: (~ssList(X0)|app(nil,X0)=X0)),
% 10.42/7.03 inference(cnf_transformation,[status(thm)],[f248])).
% 10.42/7.03 fof(f318,plain,(
% 10.42/7.03 ![U]: (~ssList(U)|segmentP(U,U))),
% 10.42/7.03 inference(pre_NNF_transformation,[status(thm)],[f55])).
% 10.42/7.03 fof(f319,plain,(
% 10.42/7.03 ![X0]: (~ssList(X0)|segmentP(X0,X0))),
% 10.42/7.03 inference(cnf_transformation,[status(thm)],[f318])).
% 10.42/7.03 fof(f320,plain,(
% 10.42/7.03 ![U]: (~ssList(U)|(![V]: (~ssList(V)|(![W]: (~ssList(W)|(![X]: (~ssList(X)|(~segmentP(U,V)|segmentP(app(app(W,U),X),V)))))))))),
% 10.42/7.03 inference(pre_NNF_transformation,[status(thm)],[f56])).
% 10.42/7.03 fof(f321,plain,(
% 10.42/7.03 ![X0,X1,X2,X3]: (~ssList(X0)|~ssList(X1)|~ssList(X2)|~ssList(X3)|~segmentP(X0,X1)|segmentP(app(app(X2,X0),X3),X1))),
% 10.42/7.03 inference(cnf_transformation,[status(thm)],[f320])).
% 10.42/7.03 fof(f388,plain,(
% 10.42/7.03 ![U]: (~ssList(U)|app(U,nil)=U)),
% 10.42/7.03 inference(pre_NNF_transformation,[status(thm)],[f84])).
% 10.42/7.03 fof(f389,plain,(
% 10.42/7.03 ![X0]: (~ssList(X0)|app(X0,nil)=X0)),
% 10.42/7.03 inference(cnf_transformation,[status(thm)],[f388])).
% 10.42/7.03 fof(f415,plain,(
% 10.42/7.03 (?[U]: (ssList(U)&(?[V]: (ssList(V)&(?[W]: (ssList(W)&(?[X]: (ssList(X)&(((((V=X&U=W)&neq(V,nil))&(nil=W|~nil=X))&(~neq(U,nil)|~segmentP(V,U)))&(~neq(X,nil)|(neq(W,nil)&rearsegP(X,W))))))))))))),
% 10.42/7.03 inference(pre_NNF_transformation,[status(thm)],[f97])).
% 10.42/7.03 fof(f416,plain,(
% 10.42/7.03 (ssList(sK47_skl)&(ssList(sK48_skl)&(ssList(sK49_skl)&(ssList(sK50_skl)&(((((sK48_skl=sK50_skl&sK47_skl=sK49_skl)&neq(sK48_skl,nil))&(nil=sK49_skl|~nil=sK50_skl))&(~neq(sK47_skl,nil)|~segmentP(sK48_skl,sK47_skl)))&(~neq(sK50_skl,nil)|(neq(sK49_skl,nil)&rearsegP(sK50_skl,sK49_skl))))))))),
% 10.42/7.03 inference(skolemize,[status(esa),new_symbols(skolem,[sK47_skl,sK48_skl,sK49_skl,sK50_skl]),skolemize(U,sK47_skl),skolemize(V,sK48_skl),skolemize(W,sK49_skl),skolemize(X,sK50_skl)],[f415])).
% 10.42/7.03 fof(f417,plain,(
% 10.42/7.03 ssList(sK47_skl)),
% 10.42/7.03 inference(cnf_transformation,[status(thm)],[f416])).
% 10.42/7.03 fof(f418,plain,(
% 10.42/7.03 ssList(sK48_skl)),
% 10.42/7.03 inference(cnf_transformation,[status(thm)],[f416])).
% 10.42/7.03 fof(f421,plain,(
% 10.42/7.03 sK48_skl=sK50_skl),
% 10.42/7.03 inference(cnf_transformation,[status(thm)],[f416])).
% 10.42/7.03 fof(f422,plain,(
% 10.42/7.03 sK47_skl=sK49_skl),
% 10.42/7.03 inference(cnf_transformation,[status(thm)],[f416])).
% 10.42/7.03 fof(f423,plain,(
% 10.42/7.03 neq(sK48_skl,nil)),
% 10.42/7.03 inference(cnf_transformation,[status(thm)],[f416])).
% 10.42/7.03 fof(f425,plain,(
% 10.42/7.03 ~neq(sK47_skl,nil)|~segmentP(sK48_skl,sK47_skl)),
% 10.42/7.03 inference(cnf_transformation,[status(thm)],[f416])).
% 10.42/7.03 fof(f426,plain,(
% 10.42/7.03 ~neq(sK50_skl,nil)|neq(sK49_skl,nil)),
% 10.42/7.03 inference(cnf_transformation,[status(thm)],[f416])).
% 10.42/7.03 fof(f427,plain,(
% 10.42/7.03 ~neq(sK50_skl,nil)|rearsegP(sK50_skl,sK49_skl)),
% 10.42/7.03 inference(cnf_transformation,[status(thm)],[f416])).
% 10.42/7.03 fof(f435,definition,(
% 10.42/7.03 sQ2_spl <=> (neq(sK47_skl,nil))),
% 10.42/7.03 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 10.42/7.03 fof(f438,definition,(
% 10.42/7.03 sQ3_spl <=> (segmentP(sK48_skl,sK47_skl))),
% 10.42/7.03 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 10.42/7.03 fof(f441,plain,(
% 10.42/7.03 ~sQ2_spl|~sQ3_spl),
% 10.42/7.03 inference(split_clause,[status(thm)],[f425,f435,f438])).
% 10.42/7.03 fof(f442,definition,(
% 10.42/7.03 sQ4_spl <=> (neq(sK50_skl,nil))),
% 10.42/7.03 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 10.42/7.03 fof(f444,plain,(
% 10.42/7.03 ~neq(sK50_skl,nil)|sQ4_spl),
% 10.42/7.03 inference(component_clause,[status(thm)],[f442])).
% 10.42/7.03 fof(f445,definition,(
% 10.42/7.03 sQ5_spl <=> (neq(sK49_skl,nil))),
% 10.42/7.03 introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition])).
% 10.42/7.03 fof(f446,plain,(
% 10.42/7.03 neq(sK49_skl,nil)|~sQ5_spl),
% 10.42/7.03 inference(component_clause,[status(thm)],[f445])).
% 10.42/7.03 fof(f448,plain,(
% 10.42/7.03 ~sQ4_spl|sQ5_spl),
% 10.42/7.03 inference(split_clause,[status(thm)],[f426,f442,f445])).
% 10.42/7.03 fof(f449,definition,(
% 10.42/7.03 sQ6_spl <=> (rearsegP(sK50_skl,sK49_skl))),
% 10.42/7.03 introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition])).
% 10.42/7.03 fof(f450,plain,(
% 10.42/7.03 rearsegP(sK50_skl,sK49_skl)|~sQ6_spl),
% 10.42/7.03 inference(component_clause,[status(thm)],[f449])).
% 10.42/7.03 fof(f452,plain,(
% 10.42/7.03 ~sQ4_spl|sQ6_spl),
% 10.42/7.03 inference(split_clause,[status(thm)],[f427,f442,f449])).
% 10.42/7.03 fof(f491,plain,(
% 10.42/7.03 ~neq(sK48_skl,nil)|sQ4_spl),
% 10.42/7.03 inference(forward_demodulation,[status(thm)],[f421,f444])).
% 10.42/7.03 fof(f492,plain,(
% 10.42/7.03 $false|sQ4_spl),
% 10.42/7.03 inference(forward_subsumption_resolution,[status(thm)],[f491,f423])).
% 10.42/7.03 fof(f493,plain,(
% 10.42/7.03 sQ4_spl),
% 10.42/7.03 inference(contradiction_clause,[status(thm)],[f492])).
% 10.42/7.03 fof(f495,plain,(
% 10.42/7.03 rearsegP(sK48_skl,sK49_skl)|~sQ6_spl),
% 10.42/7.03 inference(forward_demodulation,[status(thm)],[f421,f450])).
% 10.42/7.03 fof(f502,plain,(
% 10.42/7.03 rearsegP(sK48_skl,sK47_skl)|~sQ6_spl),
% 10.42/7.03 inference(forward_demodulation,[status(thm)],[f422,f495])).
% 10.42/7.03 fof(f503,plain,(
% 10.42/7.03 neq(sK47_skl,nil)|~sQ5_spl),
% 10.42/7.03 inference(forward_demodulation,[status(thm)],[f422,f446])).
% 10.42/7.03 fof(f523,definition,(
% 10.42/7.03 sQ11_spl <=> (ssList(nil))),
% 10.42/7.03 introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition])).
% 10.42/7.03 fof(f525,plain,(
% 10.42/7.03 ~ssList(nil)|sQ11_spl),
% 10.42/7.03 inference(component_clause,[status(thm)],[f523])).
% 10.42/7.03 fof(f531,plain,(
% 10.42/7.03 $false|sQ11_spl),
% 10.42/7.03 inference(forward_subsumption_resolution,[status(thm)],[f525,f223])).
% 10.42/7.03 fof(f532,plain,(
% 10.42/7.03 sQ11_spl),
% 10.42/7.03 inference(contradiction_clause,[status(thm)],[f531])).
% 10.42/7.03 fof(f542,definition,(
% 10.42/7.03 sQ14_spl <=> (sK1_skl=sK0_skl)),
% 10.42/7.03 introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition])).
% 10.42/7.03 fof(f543,plain,(
% 10.42/7.03 sK1_skl=sK0_skl|~sQ14_spl),
% 10.42/7.03 inference(component_clause,[status(thm)],[f542])).
% 10.42/7.03 fof(f560,definition,(
% 10.42/7.03 sQ17_spl <=> (ssList(sK47_skl))),
% 10.42/7.03 introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition])).
% 10.42/7.03 fof(f562,plain,(
% 10.42/7.03 ~ssList(sK47_skl)|sQ17_spl),
% 10.42/7.03 inference(component_clause,[status(thm)],[f560])).
% 10.42/7.03 fof(f563,definition,(
% 10.42/7.03 sQ18_spl <=> (ssList(sK48_skl))),
% 10.42/7.03 introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition])).
% 10.42/7.03 fof(f565,plain,(
% 10.42/7.03 ~ssList(sK48_skl)|sQ18_spl),
% 10.42/7.03 inference(component_clause,[status(thm)],[f563])).
% 10.42/7.03 fof(f593,plain,(
% 10.42/7.03 $false|sQ17_spl),
% 10.42/7.03 inference(forward_subsumption_resolution,[status(thm)],[f562,f417])).
% 10.42/7.03 fof(f594,plain,(
% 10.42/7.03 sQ17_spl),
% 10.42/7.03 inference(contradiction_clause,[status(thm)],[f593])).
% 10.42/7.03 fof(f611,plain,(
% 10.42/7.03 $false|sQ18_spl),
% 10.42/7.03 inference(forward_subsumption_resolution,[status(thm)],[f565,f418])).
% 10.42/7.03 fof(f612,plain,(
% 10.42/7.03 sQ18_spl),
% 10.42/7.03 inference(contradiction_clause,[status(thm)],[f611])).
% 10.42/7.03 fof(f627,plain,(
% 10.42/7.03 $false|~sQ14_spl),
% 10.42/7.03 inference(forward_subsumption_resolution,[status(thm)],[f543,f105])).
% 10.42/7.03 fof(f628,plain,(
% 10.42/7.03 ~sQ14_spl),
% 10.42/7.03 inference(contradiction_clause,[status(thm)],[f627])).
% 10.42/7.03 fof(f673,plain,(
% 10.42/7.03 app(nil,sK48_skl)=sK48_skl),
% 10.42/7.03 inference(resolution,[status(thm)],[f249,f418])).
% 10.42/7.03 fof(f740,plain,(
% 10.42/7.03 ![X0]: (~ssList(X0)|~rearsegP(X0,sK47_skl)|app(sK6_skl(sK47_skl,X0),sK47_skl)=X0)),
% 10.42/7.03 inference(resolution,[status(thm)],[f129,f417])).
% 10.42/7.03 fof(f849,plain,(
% 10.42/7.03 ![X0,X1,X2]: (~ssList(X0)|~ssList(X0)|~ssList(X1)|~ssList(X2)|segmentP(app(app(X1,X0),X2),X0)|~ssList(X0))),
% 10.42/7.03 inference(resolution,[status(thm)],[f321,f319])).
% 10.42/7.03 fof(f855,plain,(
% 10.42/7.03 ![X0,X1,X2]: (~ssList(X0)|~ssList(X1)|~ssList(X2)|segmentP(app(app(X1,X0),X2),X0))),
% 10.42/7.03 inference(duplicate_literals_removal,[status(thm)],[f849])).
% 10.42/7.03 fof(f859,plain,(
% 10.42/7.03 app(sK48_skl,nil)=sK48_skl),
% 10.42/7.03 inference(resolution,[status(thm)],[f389,f418])).
% 10.42/7.03 fof(f1119,plain,(
% 10.42/7.03 ~ssList(sK48_skl)|app(sK6_skl(sK47_skl,sK48_skl),sK47_skl)=sK48_skl|~sQ6_spl),
% 10.42/7.03 inference(resolution,[status(thm)],[f740,f502])).
% 10.42/7.03 fof(f1127,definition,(
% 10.42/7.03 sQ82_spl <=> (app(sK6_skl(sK47_skl,sK48_skl),sK47_skl)=sK48_skl)),
% 10.42/7.03 introduced(definition,[new_symbols(definition,[sQ82_spl])],[split_symbol_definition])).
% 10.42/7.03 fof(f1128,plain,(
% 10.42/7.03 app(sK6_skl(sK47_skl,sK48_skl),sK47_skl)=sK48_skl|~sQ82_spl),
% 10.42/7.03 inference(component_clause,[status(thm)],[f1127])).
% 10.42/7.03 fof(f1130,plain,(
% 10.42/7.03 ~sQ18_spl|sQ82_spl|~sQ6_spl),
% 10.42/7.03 inference(split_clause,[status(thm)],[f1119,f563,f1127,f449])).
% 10.42/7.03 fof(f2120,plain,(
% 10.42/7.03 ![X0]: (~ssList(X0)|~cons(sK1_skl,X0)=X0)),
% 10.42/7.03 inference(resolution,[status(thm)],[f225,f104])).
% 10.42/7.03 fof(f2121,plain,(
% 10.42/7.03 ![X0]: (~ssList(X0)|~cons(sK0_skl,X0)=X0)),
% 10.42/7.03 inference(resolution,[status(thm)],[f225,f103])).
% 10.42/7.03 fof(f2421,plain,(
% 10.42/7.03 ~cons(sK1_skl,nil)=nil),
% 10.42/7.03 inference(resolution,[status(thm)],[f2120,f223])).
% 10.42/7.03 fof(f2452,plain,(
% 10.42/7.03 ~cons(sK0_skl,nil)=nil),
% 10.42/7.03 inference(resolution,[status(thm)],[f2121,f223])).
% 10.42/7.03 fof(f2891,plain,(
% 10.42/7.03 ![X0]: (~ssList(sK47_skl)|~ssList(sK6_skl(sK47_skl,sK48_skl))|~ssList(X0)|segmentP(app(sK48_skl,X0),sK47_skl)|~sQ82_spl)),
% 10.42/7.03 inference(paramodulation,[status(thm)],[f1128,f855])).
% 10.42/7.03 fof(f2896,definition,(
% 10.42/7.03 sQ286_spl <=> (ssList(sK6_skl(sK47_skl,sK48_skl)))),
% 10.42/7.03 introduced(definition,[new_symbols(definition,[sQ286_spl])],[split_symbol_definition])).
% 10.42/7.03 fof(f2898,plain,(
% 10.42/7.03 ~ssList(sK6_skl(sK47_skl,sK48_skl))|sQ286_spl),
% 10.42/7.03 inference(component_clause,[status(thm)],[f2896])).
% 10.42/7.03 fof(f2900,definition,(
% 10.42/7.03 ![X0]: (sQ287_spl <=> (~ssList(X0)|segmentP(app(sK48_skl,X0),sK47_skl)))),
% 10.42/7.03 introduced(definition,[new_symbols(definition,[sQ287_spl])],[split_symbol_definition])).
% 10.42/7.03 fof(f2901,plain,(
% 10.42/7.03 ![X0]: (~ssList(X0)|segmentP(app(sK48_skl,X0),sK47_skl)|~sQ287_spl)),
% 10.42/7.03 inference(component_clause,[status(thm)],[f2900])).
% 10.42/7.03 fof(f2903,plain,(
% 10.42/7.03 ~sQ17_spl|~sQ286_spl|sQ287_spl|~sQ82_spl),
% 10.42/7.03 inference(split_clause,[status(thm)],[f2891,f560,f2896,f2900,f1127])).
% 10.42/7.03 fof(f2920,plain,(
% 10.42/7.03 ~ssList(sK48_skl)|~ssList(sK47_skl)|~rearsegP(sK48_skl,sK47_skl)|sQ286_spl),
% 10.42/7.03 inference(resolution,[status(thm)],[f2898,f128])).
% 10.42/7.03 fof(f2921,definition,(
% 10.42/7.03 sQ292_spl <=> (rearsegP(sK48_skl,sK47_skl))),
% 10.42/7.03 introduced(definition,[new_symbols(definition,[sQ292_spl])],[split_symbol_definition])).
% 10.42/7.03 fof(f2923,plain,(
% 10.42/7.03 ~rearsegP(sK48_skl,sK47_skl)|sQ292_spl),
% 10.42/7.03 inference(component_clause,[status(thm)],[f2921])).
% 10.42/7.03 fof(f2924,plain,(
% 10.42/7.03 ~sQ18_spl|~sQ17_spl|~sQ292_spl|sQ286_spl),
% 10.42/7.03 inference(split_clause,[status(thm)],[f2920,f563,f560,f2921,f2896])).
% 10.42/7.03 fof(f2925,plain,(
% 10.42/7.03 $false|~sQ6_spl|sQ292_spl),
% 10.42/7.03 inference(forward_subsumption_resolution,[status(thm)],[f2923,f502])).
% 10.42/7.03 fof(f2926,plain,(
% 10.42/7.03 ~sQ6_spl|sQ292_spl),
% 10.42/7.03 inference(contradiction_clause,[status(thm)],[f2925])).
% 10.42/7.03 fof(f3042,plain,(
% 10.42/7.03 ![X0]: (~ssList(X0)|~nil=cons(sK1_skl,X0))),
% 10.42/7.03 inference(resolution,[status(thm)],[f235,f104])).
% 10.42/7.03 fof(f3043,plain,(
% 10.42/7.03 ![X0]: (~ssList(X0)|~nil=cons(sK0_skl,X0))),
% 10.42/7.03 inference(resolution,[status(thm)],[f235,f103])).
% 10.42/7.03 fof(f3319,plain,(
% 10.42/7.03 ~nil=cons(sK1_skl,sK47_skl)),
% 10.42/7.03 inference(resolution,[status(thm)],[f3042,f417])).
% 10.42/7.03 fof(f3320,plain,(
% 10.42/7.03 ~nil=cons(sK1_skl,sK48_skl)),
% 10.42/7.03 inference(resolution,[status(thm)],[f3042,f418])).
% 10.42/7.03 fof(f3402,plain,(
% 10.42/7.03 sQ2_spl|~sQ5_spl),
% 10.42/7.03 inference(split_clause,[status(thm)],[f503,f435,f445])).
% 10.42/7.03 fof(f4226,plain,(
% 10.42/7.03 ~nil=cons(sK0_skl,sK47_skl)),
% 10.42/7.03 inference(resolution,[status(thm)],[f3043,f417])).
% 10.42/7.03 fof(f4227,plain,(
% 10.42/7.03 ~nil=cons(sK0_skl,sK48_skl)),
% 10.42/7.03 inference(resolution,[status(thm)],[f3043,f418])).
% 10.42/7.03 fof(f7039,definition,(
% 10.42/7.03 sQ691_spl <=> (nil=cons(sK1_skl,sK47_skl))),
% 10.42/7.03 introduced(definition,[new_symbols(definition,[sQ691_spl])],[split_symbol_definition])).
% 10.42/7.03 fof(f7040,plain,(
% 10.42/7.03 nil=cons(sK1_skl,sK47_skl)|~sQ691_spl),
% 10.42/7.03 inference(component_clause,[status(thm)],[f7039])).
% 10.42/7.03 fof(f7045,plain,(
% 10.42/7.03 $false|~sQ691_spl),
% 10.42/7.03 inference(forward_subsumption_resolution,[status(thm)],[f7040,f3319])).
% 10.42/7.03 fof(f7046,plain,(
% 10.42/7.03 ~sQ691_spl),
% 10.42/7.03 inference(contradiction_clause,[status(thm)],[f7045])).
% 10.42/7.03 fof(f7100,definition,(
% 10.42/7.03 sQ694_spl <=> (nil=cons(sK1_skl,sK48_skl))),
% 10.42/7.03 introduced(definition,[new_symbols(definition,[sQ694_spl])],[split_symbol_definition])).
% 10.42/7.03 fof(f7101,plain,(
% 10.42/7.03 nil=cons(sK1_skl,sK48_skl)|~sQ694_spl),
% 10.42/7.03 inference(component_clause,[status(thm)],[f7100])).
% 10.42/7.03 fof(f7106,plain,(
% 10.42/7.03 $false|~sQ694_spl),
% 10.42/7.03 inference(forward_subsumption_resolution,[status(thm)],[f7101,f3320])).
% 10.42/7.03 fof(f7107,plain,(
% 10.42/7.03 ~sQ694_spl),
% 10.42/7.03 inference(contradiction_clause,[status(thm)],[f7106])).
% 10.42/7.03 fof(f7308,definition,(
% 10.42/7.03 sQ722_spl <=> (nil=cons(sK1_skl,nil))),
% 10.42/7.03 introduced(definition,[new_symbols(definition,[sQ722_spl])],[split_symbol_definition])).
% 10.42/7.03 fof(f7309,plain,(
% 10.42/7.03 nil=cons(sK1_skl,nil)|~sQ722_spl),
% 10.42/7.03 inference(component_clause,[status(thm)],[f7308])).
% 10.42/7.03 fof(f7314,plain,(
% 10.42/7.03 $false|~sQ722_spl),
% 10.42/7.03 inference(forward_subsumption_resolution,[status(thm)],[f7309,f2421])).
% 10.42/7.03 fof(f7315,plain,(
% 10.42/7.03 ~sQ722_spl),
% 10.42/7.03 inference(contradiction_clause,[status(thm)],[f7314])).
% 10.42/7.03 fof(f7683,definition,(
% 10.42/7.03 sQ773_spl <=> (nil=cons(sK0_skl,sK47_skl))),
% 10.42/7.03 introduced(definition,[new_symbols(definition,[sQ773_spl])],[split_symbol_definition])).
% 10.42/7.05 fof(f7684,plain,(
% 10.42/7.05 nil=cons(sK0_skl,sK47_skl)|~sQ773_spl),
% 10.42/7.05 inference(component_clause,[status(thm)],[f7683])).
% 10.42/7.05 fof(f7689,plain,(
% 10.42/7.05 $false|~sQ773_spl),
% 10.42/7.05 inference(forward_subsumption_resolution,[status(thm)],[f7684,f4226])).
% 10.42/7.05 fof(f7690,plain,(
% 10.42/7.05 ~sQ773_spl),
% 10.42/7.05 inference(contradiction_clause,[status(thm)],[f7689])).
% 10.42/7.05 fof(f7700,definition,(
% 10.42/7.05 sQ776_spl <=> (nil=cons(sK0_skl,sK48_skl))),
% 10.42/7.05 introduced(definition,[new_symbols(definition,[sQ776_spl])],[split_symbol_definition])).
% 10.42/7.05 fof(f7701,plain,(
% 10.42/7.05 nil=cons(sK0_skl,sK48_skl)|~sQ776_spl),
% 10.42/7.05 inference(component_clause,[status(thm)],[f7700])).
% 10.42/7.05 fof(f7706,plain,(
% 10.42/7.05 $false|~sQ776_spl),
% 10.42/7.05 inference(forward_subsumption_resolution,[status(thm)],[f7701,f4227])).
% 10.42/7.05 fof(f7707,plain,(
% 10.42/7.05 ~sQ776_spl),
% 10.42/7.05 inference(contradiction_clause,[status(thm)],[f7706])).
% 10.42/7.05 fof(f7813,definition,(
% 10.42/7.05 sQ785_spl <=> (sK48_skl=app(nil,sK48_skl))),
% 10.42/7.05 introduced(definition,[new_symbols(definition,[sQ785_spl])],[split_symbol_definition])).
% 10.42/7.05 fof(f7815,plain,(
% 10.42/7.05 ~sK48_skl=app(nil,sK48_skl)|sQ785_spl),
% 10.42/7.05 inference(component_clause,[status(thm)],[f7813])).
% 10.42/7.05 fof(f7817,plain,(
% 10.42/7.05 ~sK48_skl=sK48_skl|sQ785_spl),
% 10.42/7.05 inference(forward_demodulation,[status(thm)],[f673,f7815])).
% 10.42/7.05 fof(f7818,plain,(
% 10.42/7.05 $false|sQ785_spl),
% 10.42/7.05 inference(trivial_equality_resolution,[status(thm)],[f7817])).
% 10.42/7.05 fof(f7819,plain,(
% 10.42/7.05 sQ785_spl),
% 10.42/7.05 inference(contradiction_clause,[status(thm)],[f7818])).
% 10.42/7.05 fof(f7999,definition,(
% 10.42/7.05 sQ810_spl <=> (nil=cons(sK0_skl,nil))),
% 10.42/7.05 introduced(definition,[new_symbols(definition,[sQ810_spl])],[split_symbol_definition])).
% 10.42/7.05 fof(f8000,plain,(
% 10.42/7.05 nil=cons(sK0_skl,nil)|~sQ810_spl),
% 10.42/7.05 inference(component_clause,[status(thm)],[f7999])).
% 10.42/7.05 fof(f8005,plain,(
% 10.42/7.05 $false|~sQ810_spl),
% 10.42/7.05 inference(forward_subsumption_resolution,[status(thm)],[f8000,f2452])).
% 10.42/7.05 fof(f8006,plain,(
% 10.42/7.05 ~sQ810_spl),
% 10.42/7.05 inference(contradiction_clause,[status(thm)],[f8005])).
% 10.42/7.05 fof(f9678,plain,(
% 10.42/7.05 ~ssList(nil)|segmentP(sK48_skl,sK47_skl)|~sQ287_spl),
% 10.42/7.05 inference(paramodulation,[status(thm)],[f859,f2901])).
% 10.42/7.05 fof(f9720,plain,(
% 10.42/7.05 ~sQ11_spl|sQ3_spl|~sQ287_spl),
% 10.42/7.05 inference(split_clause,[status(thm)],[f9678,f523,f438,f2900])).
% 10.42/7.05 fof(f9721,plain,(
% 10.42/7.05 $false),
% 10.42/7.05 inference(sat_refutation,[status(thm)],[f441,f448,f452,f493,f532,f594,f612,f628,f1130,f2903,f2924,f2926,f3402,f7046,f7107,f7315,f7690,f7707,f7819,f8006,f9720])).
% 10.42/7.05 % SZS output end CNFRefutation for theBenchmark.p
% 10.42/7.06 % Elapsed time: 1.506800 seconds
% 10.42/7.06 % CPU time: 11.616515 seconds
% 10.42/7.06 % Total memory used: 239.275 MB
% 10.42/7.06 % Net memory used: 229.542 MB
%------------------------------------------------------------------------------