%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SWC092+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 : n009.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 02:41:33 PM UTC 2026
% Result : Theorem 0.24s 0.57s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC092+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.05 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.17/0.44 % Computer : n009.cluster.edu
% 0.17/0.44 % Model : x86_64 x86_64
% 0.17/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.44 % Memory : 8046.5625MB
% 0.17/0.44 % OS : Linux 6.8.0-71-generic
% 0.17/0.44 % CPULimit : 300
% 0.17/0.44 % WCLimit : 300
% 0.17/0.44 % DateTime : Mon Sep 21 07:54:42 UTC 2026
% 0.17/0.44 % CPUTime :
% 0.17/0.47 % Drodi V4.1.1
% 0.24/0.57 % Refutation found
% 0.24/0.57 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.24/0.57 % SZS output start CNFRefutation for theBenchmark
% 0.24/0.57 fof(f7,axiom,(
% 0.24/0.57 (! [U] :( ssList(U)=> (! [V] :( ssList(V)=> ( segmentP(U,V)<=> (? [W] :( ssList(W)& (? [X] :( ssList(X)& app(app(W,V),X) = U ) )) )) ) )) )),
% 0.24/0.57 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.24/0.57 fof(f15,axiom,(
% 0.24/0.57 (! [U] :( ssList(U)=> (! [V] :( ssList(V)=> ( neq(U,V)<=> U != V ) ) )) )),
% 0.24/0.57 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.24/0.57 fof(f17,axiom,(
% 0.24/0.57 ssList(nil) ),
% 0.24/0.57 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.24/0.57 fof(f28,axiom,(
% 0.24/0.57 (! [U] :( ssList(U)=> app(nil,U) = U ) )),
% 0.24/0.57 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.24/0.57 fof(f55,axiom,(
% 0.24/0.57 (! [U] :( ssList(U)=> segmentP(U,U) ) )),
% 0.24/0.57 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.24/0.57 fof(f96,conjecture,(
% 0.24/0.57 (! [U] :( ssList(U)=> (! [V] :( ssList(V)=> (! [W] :( ssList(W)=> (! [X] :( ssList(X)=> ( V != X| U != W| ~ neq(V,nil)| (? [Y] :( ssList(Y)& neq(Y,nil)& segmentP(V,Y)& segmentP(U,Y) ))| (! [Z] :( ssList(Z)=> ( app(W,Z) != X| ~ strictorderedP(W)| (? [X1] :( ssItem(X1)& (? [X2] :( ssList(X2)& app(cons(X1,nil),X2) = Z& (? [X3] :( ssItem(X3)& (? [X4] :( ssList(X4)& app(X4,cons(X3,nil)) = W& lt(X3,X1) ) )) )) )) )) ))| ( nil != X& nil = W ) ) ) )) )) )) )),
% 0.24/0.57 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.24/0.57 fof(f97,negated_conjecture,(
% 0.24/0.57 ~((! [U] :( ssList(U)=> (! [V] :( ssList(V)=> (! [W] :( ssList(W)=> (! [X] :( ssList(X)=> ( V != X| U != W| ~ neq(V,nil)| (? [Y] :( ssList(Y)& neq(Y,nil)& segmentP(V,Y)& segmentP(U,Y) ))| (! [Z] :( ssList(Z)=> ( app(W,Z) != X| ~ strictorderedP(W)| (? [X1] :( ssItem(X1)& (? [X2] :( ssList(X2)& app(cons(X1,nil),X2) = Z& (? [X3] :( ssItem(X3)& (? [X4] :( ssList(X4)& app(X4,cons(X3,nil)) = W& lt(X3,X1) ) )) )) )) )) ))| ( nil != X& nil = W ) ) ) )) )) )) ))),
% 0.24/0.57 inference(negated_conjecture,[status(cth)],[f96])).
% 0.24/0.57 fof(f131,plain,(
% 0.24/0.57 ![U]: (~ssList(U)|(![V]: (~ssList(V)|(segmentP(U,V)<=>(?[W]: (ssList(W)&(?[X]: (ssList(X)&app(app(W,V),X)=U))))))))),
% 0.24/0.57 inference(pre_NNF_transformation,[status(thm)],[f7])).
% 0.24/0.57 fof(f132,plain,(
% 0.24/0.57 ![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)))))))))),
% 0.24/0.57 inference(NNF_transformation,[status(thm)],[f131])).
% 0.24/0.57 fof(f133,plain,(
% 0.24/0.57 ![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)))))))))),
% 0.24/0.57 inference(skolemize,[status(esa),new_symbols(skolem,[sK7_skl,sK8_skl]),skolemize(W,sK7_skl(V,U)),skolemize(X,sK8_skl(V,U))],[f132])).
% 0.24/0.57 fof(f137,plain,(
% 0.24/0.57 ![X0,X1,X2,X3]: (~ssList(X0)|~ssList(X1)|segmentP(X0,X1)|~ssList(X2)|~ssList(X3)|~app(app(X2,X1),X3)=X0)),
% 0.24/0.57 inference(cnf_transformation,[status(thm)],[f133])).
% 0.24/0.57 fof(f217,plain,(
% 0.24/0.57 ![U]: (~ssList(U)|(![V]: (~ssList(V)|(neq(U,V)<=>~U=V))))),
% 0.24/0.57 inference(pre_NNF_transformation,[status(thm)],[f15])).
% 0.24/0.57 fof(f218,plain,(
% 0.24/0.57 ![U]: (~ssList(U)|(![V]: (~ssList(V)|((~neq(U,V)|~U=V)&(neq(U,V)|U=V)))))),
% 0.24/0.57 inference(NNF_transformation,[status(thm)],[f217])).
% 0.24/0.57 fof(f219,plain,(
% 0.24/0.57 ![X0,X1]: (~ssList(X0)|~ssList(X1)|~neq(X0,X1)|~X0=X1)),
% 0.24/0.57 inference(cnf_transformation,[status(thm)],[f218])).
% 0.24/0.57 fof(f220,plain,(
% 0.24/0.57 ![X0,X1]: (~ssList(X0)|~ssList(X1)|neq(X0,X1)|X0=X1)),
% 0.24/0.57 inference(cnf_transformation,[status(thm)],[f218])).
% 0.24/0.57 fof(f223,plain,(
% 0.24/0.57 ssList(nil)),
% 0.24/0.57 inference(cnf_transformation,[status(thm)],[f17])).
% 0.24/0.57 fof(f248,plain,(
% 0.24/0.57 ![U]: (~ssList(U)|app(nil,U)=U)),
% 0.24/0.57 inference(pre_NNF_transformation,[status(thm)],[f28])).
% 0.24/0.57 fof(f249,plain,(
% 0.24/0.57 ![X0]: (~ssList(X0)|app(nil,X0)=X0)),
% 0.24/0.57 inference(cnf_transformation,[status(thm)],[f248])).
% 0.24/0.57 fof(f318,plain,(
% 0.24/0.57 ![U]: (~ssList(U)|segmentP(U,U))),
% 0.24/0.57 inference(pre_NNF_transformation,[status(thm)],[f55])).
% 0.24/0.57 fof(f319,plain,(
% 0.24/0.57 ![X0]: (~ssList(X0)|segmentP(X0,X0))),
% 0.24/0.57 inference(cnf_transformation,[status(thm)],[f318])).
% 0.24/0.57 fof(f415,plain,(
% 0.24/0.57 (?[U]: (ssList(U)&(?[V]: (ssList(V)&(?[W]: (ssList(W)&(?[X]: (ssList(X)&(((((V=X&U=W)&neq(V,nil))&(![Y]: (((~ssList(Y)|~neq(Y,nil))|~segmentP(V,Y))|~segmentP(U,Y))))&(?[Z]: (ssList(Z)&((app(W,Z)=X&strictorderedP(W))&(![X1]: (~ssItem(X1)|(![X2]: ((~ssList(X2)|~app(cons(X1,nil),X2)=Z)|(![X3]: (~ssItem(X3)|(![X4]: ((~ssList(X4)|~app(X4,cons(X3,nil))=W)|~lt(X3,X1)))))))))))))&(nil=X|~nil=W))))))))))),
% 0.24/0.57 inference(pre_NNF_transformation,[status(thm)],[f97])).
% 0.24/0.57 fof(f416,plain,(
% 0.24/0.57 ?[U]: (ssList(U)&(?[V]: (ssList(V)&(?[W]: (ssList(W)&(?[X]: (ssList(X)&(((((V=X&U=W)&neq(V,nil))&(![Y]: (((~ssList(Y)|~neq(Y,nil))|~segmentP(V,Y))|~segmentP(U,Y))))&(?[Z]: (ssList(Z)&((app(W,Z)=X&strictorderedP(W))&(![X1]: (~ssItem(X1)|((![X2]: (~ssList(X2)|~app(cons(X1,nil),X2)=Z))|(![X3]: (~ssItem(X3)|((![X4]: (~ssList(X4)|~app(X4,cons(X3,nil))=W))|~lt(X3,X1)))))))))))&(nil=X|~nil=W)))))))))),
% 0.24/0.57 inference(miniscoping,[status(thm)],[f415])).
% 0.24/0.57 fof(f417,plain,(
% 0.24/0.57 (ssList(sK47_skl)&(ssList(sK48_skl)&(ssList(sK49_skl)&(ssList(sK50_skl)&(((((sK48_skl=sK50_skl&sK47_skl=sK49_skl)&neq(sK48_skl,nil))&(![Y]: (((~ssList(Y)|~neq(Y,nil))|~segmentP(sK48_skl,Y))|~segmentP(sK47_skl,Y))))&(ssList(sK51_skl)&((app(sK49_skl,sK51_skl)=sK50_skl&strictorderedP(sK49_skl))&(![X1]: (~ssItem(X1)|((![X2]: (~ssList(X2)|~app(cons(X1,nil),X2)=sK51_skl))|(![X3]: (~ssItem(X3)|((![X4]: (~ssList(X4)|~app(X4,cons(X3,nil))=sK49_skl))|~lt(X3,X1))))))))))&(nil=sK50_skl|~nil=sK49_skl))))))),
% 0.24/0.57 inference(skolemize,[status(esa),new_symbols(skolem,[sK47_skl,sK48_skl,sK49_skl,sK50_skl,sK51_skl]),skolemize(U,sK47_skl),skolemize(V,sK48_skl),skolemize(W,sK49_skl),skolemize(X,sK50_skl),skolemize(Z,sK51_skl)],[f416])).
% 0.24/0.57 fof(f418,plain,(
% 0.24/0.57 ssList(sK47_skl)),
% 0.24/0.57 inference(cnf_transformation,[status(thm)],[f417])).
% 0.24/0.57 fof(f419,plain,(
% 0.24/0.57 ssList(sK48_skl)),
% 0.24/0.57 inference(cnf_transformation,[status(thm)],[f417])).
% 0.24/0.57 fof(f422,plain,(
% 0.24/0.57 sK48_skl=sK50_skl),
% 0.24/0.57 inference(cnf_transformation,[status(thm)],[f417])).
% 0.24/0.57 fof(f423,plain,(
% 0.24/0.57 sK47_skl=sK49_skl),
% 0.24/0.57 inference(cnf_transformation,[status(thm)],[f417])).
% 0.24/0.57 fof(f424,plain,(
% 0.24/0.57 neq(sK48_skl,nil)),
% 0.24/0.57 inference(cnf_transformation,[status(thm)],[f417])).
% 0.24/0.57 fof(f425,plain,(
% 0.24/0.57 ![X0]: (~ssList(X0)|~neq(X0,nil)|~segmentP(sK48_skl,X0)|~segmentP(sK47_skl,X0))),
% 0.24/0.57 inference(cnf_transformation,[status(thm)],[f417])).
% 0.24/0.57 fof(f426,plain,(
% 0.24/0.57 ssList(sK51_skl)),
% 0.24/0.57 inference(cnf_transformation,[status(thm)],[f417])).
% 0.24/0.57 fof(f427,plain,(
% 0.24/0.57 app(sK49_skl,sK51_skl)=sK50_skl),
% 0.24/0.57 inference(cnf_transformation,[status(thm)],[f417])).
% 0.24/0.57 fof(f430,plain,(
% 0.24/0.57 nil=sK50_skl|~nil=sK49_skl),
% 0.24/0.57 inference(cnf_transformation,[status(thm)],[f417])).
% 0.24/0.57 fof(f431,definition,(
% 0.24/0.57 sQ0_spl <=> (nil=sK50_skl)),
% 0.24/0.57 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.24/0.57 fof(f432,plain,(
% 0.24/0.57 nil=sK50_skl|~sQ0_spl),
% 0.24/0.57 inference(component_clause,[status(thm)],[f431])).
% 0.24/0.57 fof(f434,definition,(
% 0.24/0.57 sQ1_spl <=> (nil=sK49_skl)),
% 0.24/0.57 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.24/0.57 fof(f436,plain,(
% 0.24/0.57 ~nil=sK49_skl|sQ1_spl),
% 0.24/0.57 inference(component_clause,[status(thm)],[f434])).
% 0.24/0.57 fof(f437,plain,(
% 0.24/0.57 sQ0_spl|~sQ1_spl),
% 0.24/0.57 inference(split_clause,[status(thm)],[f430,f431,f434])).
% 0.24/0.57 fof(f444,plain,(
% 0.24/0.57 ![X0,X1,X2]: (~ssList(app(app(X0,X1),X2))|~ssList(X1)|segmentP(app(app(X0,X1),X2),X1)|~ssList(X0)|~ssList(X2))),
% 0.24/0.57 inference(destructive_equality_resolution,[status(thm)],[f137])).
% 0.24/0.57 fof(f453,plain,(
% 0.24/0.57 ![X1]: (~ssList(X1)|~ssList(X1)|~neq(X1,X1))),
% 0.24/0.57 inference(destructive_equality_resolution,[status(thm)],[f219])).
% 0.24/0.57 fof(f454,plain,(
% 0.24/0.57 ![X0]: (~ssList(X0)|~neq(X0,X0))),
% 0.24/0.57 inference(duplicate_literals_removal,[status(thm)],[f453])).
% 0.24/0.57 fof(f475,plain,(
% 0.24/0.57 sK48_skl=nil|~sQ0_spl),
% 0.24/0.57 inference(backward_demodulation,[status(thm)],[f432,f422])).
% 0.24/0.57 fof(f477,plain,(
% 0.24/0.57 neq(nil,nil)|~sQ0_spl),
% 0.24/0.57 inference(forward_demodulation,[status(thm)],[f475,f424])).
% 0.24/0.57 fof(f479,plain,(
% 0.24/0.57 ~ssList(nil)|~sQ0_spl),
% 0.24/0.57 inference(resolution,[status(thm)],[f454,f477])).
% 0.24/0.57 fof(f480,plain,(
% 0.24/0.57 $false|~sQ0_spl),
% 0.24/0.57 inference(forward_subsumption_resolution,[status(thm)],[f479,f223])).
% 0.24/0.57 fof(f481,plain,(
% 0.24/0.57 ~sQ0_spl),
% 0.24/0.57 inference(contradiction_clause,[status(thm)],[f480])).
% 0.24/0.57 fof(f482,plain,(
% 0.24/0.57 ~nil=sK47_skl|sQ1_spl),
% 0.24/0.57 inference(forward_demodulation,[status(thm)],[f423,f436])).
% 0.24/0.57 fof(f484,plain,(
% 0.24/0.57 app(sK47_skl,sK51_skl)=sK50_skl),
% 0.24/0.57 inference(forward_demodulation,[status(thm)],[f423,f427])).
% 0.24/0.57 fof(f485,plain,(
% 0.24/0.57 app(sK47_skl,sK51_skl)=sK48_skl),
% 0.24/0.57 inference(forward_demodulation,[status(thm)],[f422,f484])).
% 0.24/0.57 fof(f490,definition,(
% 0.24/0.57 sQ3_spl <=> (ssList(sK51_skl))),
% 0.24/0.57 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.24/0.57 fof(f492,plain,(
% 0.24/0.57 ~ssList(sK51_skl)|sQ3_spl),
% 0.24/0.57 inference(component_clause,[status(thm)],[f490])).
% 0.24/0.57 fof(f493,definition,(
% 0.24/0.57 sQ4_spl <=> (ssList(sK47_skl))),
% 0.24/0.57 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 0.24/0.57 fof(f495,plain,(
% 0.24/0.57 ~ssList(sK47_skl)|sQ4_spl),
% 0.24/0.57 inference(component_clause,[status(thm)],[f493])).
% 0.24/0.57 fof(f497,plain,(
% 0.24/0.57 $false|sQ4_spl),
% 0.24/0.57 inference(forward_subsumption_resolution,[status(thm)],[f495,f418])).
% 0.24/0.57 fof(f498,plain,(
% 0.24/0.57 sQ4_spl),
% 0.24/0.57 inference(contradiction_clause,[status(thm)],[f497])).
% 0.24/0.57 fof(f501,plain,(
% 0.24/0.57 ~ssList(sK47_skl)|~neq(sK47_skl,nil)|~segmentP(sK48_skl,sK47_skl)|~ssList(sK47_skl)),
% 0.24/0.57 inference(resolution,[status(thm)],[f425,f319])).
% 0.24/0.57 fof(f512,definition,(
% 0.24/0.57 sQ8_spl <=> (neq(sK47_skl,nil))),
% 0.24/0.57 introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition])).
% 0.24/0.57 fof(f514,plain,(
% 0.24/0.57 ~neq(sK47_skl,nil)|sQ8_spl),
% 0.24/0.57 inference(component_clause,[status(thm)],[f512])).
% 0.24/0.57 fof(f515,definition,(
% 0.24/0.57 sQ9_spl <=> (segmentP(sK48_skl,sK47_skl))),
% 0.24/0.57 introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition])).
% 0.24/0.57 fof(f518,plain,(
% 0.24/0.57 ~sQ4_spl|~sQ8_spl|~sQ9_spl),
% 0.24/0.57 inference(split_clause,[status(thm)],[f501,f493,f512,f515])).
% 0.24/0.57 fof(f522,definition,(
% 0.24/0.57 sQ10_spl <=> (ssList(nil))),
% 0.24/0.57 introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition])).
% 0.24/0.57 fof(f524,plain,(
% 0.24/0.57 ~ssList(nil)|sQ10_spl),
% 0.24/0.57 inference(component_clause,[status(thm)],[f522])).
% 0.24/0.57 fof(f536,plain,(
% 0.24/0.57 $false|sQ10_spl),
% 0.24/0.57 inference(forward_subsumption_resolution,[status(thm)],[f524,f223])).
% 0.24/0.57 fof(f537,plain,(
% 0.24/0.57 sQ10_spl),
% 0.24/0.57 inference(contradiction_clause,[status(thm)],[f536])).
% 0.24/0.57 fof(f543,plain,(
% 0.24/0.57 ~ssList(sK47_skl)|~ssList(nil)|sK47_skl=nil|sQ8_spl),
% 0.24/0.57 inference(resolution,[status(thm)],[f220,f514])).
% 0.24/0.57 fof(f551,definition,(
% 0.24/0.57 sQ15_spl <=> (sK47_skl=nil)),
% 0.24/0.57 introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition])).
% 0.24/0.57 fof(f552,plain,(
% 0.24/0.57 sK47_skl=nil|~sQ15_spl),
% 0.24/0.57 inference(component_clause,[status(thm)],[f551])).
% 0.24/0.57 fof(f554,plain,(
% 0.24/0.57 ~sQ4_spl|~sQ10_spl|sQ15_spl|sQ8_spl),
% 0.24/0.57 inference(split_clause,[status(thm)],[f543,f493,f522,f551,f512])).
% 0.24/0.57 fof(f569,plain,(
% 0.24/0.57 $false|sQ1_spl|~sQ15_spl),
% 0.24/0.57 inference(forward_subsumption_resolution,[status(thm)],[f552,f482])).
% 0.24/0.57 fof(f570,plain,(
% 0.24/0.57 sQ1_spl|~sQ15_spl),
% 0.24/0.57 inference(contradiction_clause,[status(thm)],[f569])).
% 0.24/0.57 fof(f577,plain,(
% 0.24/0.57 app(nil,sK47_skl)=sK47_skl),
% 0.24/0.57 inference(resolution,[status(thm)],[f249,f418])).
% 0.24/0.57 fof(f604,plain,(
% 0.24/0.57 $false|sQ3_spl),
% 0.24/0.57 inference(forward_subsumption_resolution,[status(thm)],[f492,f426])).
% 0.24/0.57 fof(f605,plain,(
% 0.24/0.57 sQ3_spl),
% 0.24/0.57 inference(contradiction_clause,[status(thm)],[f604])).
% 0.24/0.57 fof(f607,plain,(
% 0.24/0.57 ![X0]: (~ssList(app(sK47_skl,X0))|~ssList(sK47_skl)|segmentP(app(app(nil,sK47_skl),X0),sK47_skl)|~ssList(nil)|~ssList(X0))),
% 0.24/0.57 inference(paramodulation,[status(thm)],[f577,f444])).
% 0.24/0.57 fof(f608,definition,(
% 0.24/0.57 ![X0]: (sQ24_spl <=> (~ssList(app(sK47_skl,X0))|segmentP(app(app(nil,sK47_skl),X0),sK47_skl)|~ssList(X0)))),
% 0.24/0.57 introduced(definition,[new_symbols(definition,[sQ24_spl])],[split_symbol_definition])).
% 0.24/0.57 fof(f609,plain,(
% 0.24/0.57 ![X0]: (~ssList(app(sK47_skl,X0))|segmentP(app(app(nil,sK47_skl),X0),sK47_skl)|~ssList(X0)|~sQ24_spl)),
% 0.24/0.57 inference(component_clause,[status(thm)],[f608])).
% 0.24/0.57 fof(f611,plain,(
% 0.24/0.57 sQ24_spl|~sQ4_spl|~sQ10_spl),
% 0.24/0.57 inference(split_clause,[status(thm)],[f607,f608,f493,f522])).
% 0.24/0.57 fof(f612,plain,(
% 0.24/0.57 ![X0]: (~ssList(app(sK47_skl,X0))|segmentP(app(sK47_skl,X0),sK47_skl)|~ssList(X0)|~sQ24_spl)),
% 0.24/0.57 inference(forward_demodulation,[status(thm)],[f577,f609])).
% 0.24/0.57 fof(f1114,plain,(
% 0.24/0.57 ~ssList(app(sK47_skl,sK51_skl))|segmentP(sK48_skl,sK47_skl)|~ssList(sK51_skl)|~sQ24_spl),
% 0.24/0.59 inference(paramodulation,[status(thm)],[f485,f612])).
% 0.24/0.59 fof(f1120,definition,(
% 0.24/0.59 sQ86_spl <=> (ssList(app(sK47_skl,sK51_skl)))),
% 0.24/0.59 introduced(definition,[new_symbols(definition,[sQ86_spl])],[split_symbol_definition])).
% 0.24/0.59 fof(f1122,plain,(
% 0.24/0.59 ~ssList(app(sK47_skl,sK51_skl))|sQ86_spl),
% 0.24/0.59 inference(component_clause,[status(thm)],[f1120])).
% 0.24/0.59 fof(f1123,plain,(
% 0.24/0.59 ~sQ86_spl|sQ9_spl|~sQ3_spl|~sQ24_spl),
% 0.24/0.59 inference(split_clause,[status(thm)],[f1114,f1120,f515,f490,f608])).
% 0.24/0.59 fof(f1132,plain,(
% 0.24/0.59 ~ssList(sK48_skl)|sQ86_spl),
% 0.24/0.59 inference(forward_demodulation,[status(thm)],[f485,f1122])).
% 0.24/0.59 fof(f1133,plain,(
% 0.24/0.59 $false|sQ86_spl),
% 0.24/0.59 inference(forward_subsumption_resolution,[status(thm)],[f1132,f419])).
% 0.24/0.59 fof(f1134,plain,(
% 0.24/0.59 sQ86_spl),
% 0.24/0.59 inference(contradiction_clause,[status(thm)],[f1133])).
% 0.24/0.59 fof(f1135,plain,(
% 0.24/0.59 $false),
% 0.24/0.59 inference(sat_refutation,[status(thm)],[f437,f481,f498,f518,f537,f554,f570,f605,f611,f1123,f1134])).
% 0.24/0.59 % SZS output end CNFRefutation for theBenchmark.p
% 0.24/0.60 % Elapsed time: 0.151289 seconds
% 0.24/0.60 % CPU time: 0.586742 seconds
% 0.24/0.60 % Total memory used: 75.048 MB
% 0.24/0.60 % Net memory used: 74.721 MB
%------------------------------------------------------------------------------