%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SWC059+1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n013.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 02:41:28 PM UTC 2026
% Result : Theorem 0.17s 0.48s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SWC059+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.06 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.17/0.44 % Computer : n013.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 07:51:35 UTC 2026
% 0.17/0.44 % CPUTime :
% 0.17/0.47 % Drodi V4.1.1
% 0.17/0.48 % Refutation found
% 0.17/0.48 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.17/0.48 % SZS output start CNFRefutation for theBenchmark
% 0.17/0.48 fof(f4,axiom,(
% 0.17/0.48 (! [U] :( ssList(U)=> ( singletonP(U)<=> (? [V] :( ssItem(V)& cons(V,nil) = U ) )) ) )),
% 0.17/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.17/0.48 fof(f17,axiom,(
% 0.17/0.48 ssList(nil) ),
% 0.17/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.17/0.48 fof(f55,axiom,(
% 0.17/0.48 (! [U] :( ssList(U)=> segmentP(U,U) ) )),
% 0.17/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.17/0.48 fof(f96,conjecture,(
% 0.17/0.48 (! [U] :( ssList(U)=> (! [V] :( ssList(V)=> (! [W] :( ssList(W)=> (! [X] :( ssList(X)=> ( V != X| U != W| ( nil != W& nil = X )| ( neq(X,nil)& ( ~ neq(W,nil)| ~ segmentP(X,W) ) )| ( ( nil != V| nil = U )& ( ~ neq(V,nil)| (? [Y] :( ssList(Y)& neq(Y,nil)& segmentP(V,Y)& segmentP(U,Y) ) )) ) ) ) )) )) )) )),
% 0.17/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.17/0.48 fof(f97,negated_conjecture,(
% 0.17/0.48 ~((! [U] :( ssList(U)=> (! [V] :( ssList(V)=> (! [W] :( ssList(W)=> (! [X] :( ssList(X)=> ( V != X| U != W| ( nil != W& nil = X )| ( neq(X,nil)& ( ~ neq(W,nil)| ~ segmentP(X,W) ) )| ( ( nil != V| nil = U )& ( ~ neq(V,nil)| (? [Y] :( ssList(Y)& neq(Y,nil)& segmentP(V,Y)& segmentP(U,Y) ) )) ) ) ) )) )) )) ))),
% 0.17/0.48 inference(negated_conjecture,[status(cth)],[f96])).
% 0.17/0.48 fof(f113,plain,(
% 0.17/0.48 ![U]: (~ssList(U)|(singletonP(U)<=>(?[V]: (ssItem(V)&cons(V,nil)=U))))),
% 0.17/0.48 inference(pre_NNF_transformation,[status(thm)],[f4])).
% 0.17/0.48 fof(f114,plain,(
% 0.17/0.48 ![U]: (~ssList(U)|((~singletonP(U)|(?[V]: (ssItem(V)&cons(V,nil)=U)))&(singletonP(U)|(![V]: (~ssItem(V)|~cons(V,nil)=U)))))),
% 0.17/0.48 inference(NNF_transformation,[status(thm)],[f113])).
% 0.17/0.48 fof(f115,plain,(
% 0.17/0.48 ![U]: (~ssList(U)|((~singletonP(U)|(ssItem(sK4_skl(U))&cons(sK4_skl(U),nil)=U))&(singletonP(U)|(![V]: (~ssItem(V)|~cons(V,nil)=U)))))),
% 0.17/0.48 inference(skolemize,[status(esa),new_symbols(skolem,[sK4_skl]),skolemize(V,sK4_skl(U))],[f114])).
% 0.17/0.48 fof(f116,plain,(
% 0.17/0.48 ![X0]: (~ssList(X0)|~singletonP(X0)|ssItem(sK4_skl(X0)))),
% 0.17/0.48 inference(cnf_transformation,[status(thm)],[f115])).
% 0.17/0.48 fof(f117,plain,(
% 0.17/0.48 ![X0]: (~ssList(X0)|~singletonP(X0)|cons(sK4_skl(X0),nil)=X0)),
% 0.17/0.48 inference(cnf_transformation,[status(thm)],[f115])).
% 0.17/0.48 fof(f223,plain,(
% 0.17/0.48 ssList(nil)),
% 0.17/0.48 inference(cnf_transformation,[status(thm)],[f17])).
% 0.17/0.48 fof(f318,plain,(
% 0.17/0.48 ![U]: (~ssList(U)|segmentP(U,U))),
% 0.17/0.48 inference(pre_NNF_transformation,[status(thm)],[f55])).
% 0.17/0.48 fof(f319,plain,(
% 0.17/0.48 ![X0]: (~ssList(X0)|segmentP(X0,X0))),
% 0.17/0.48 inference(cnf_transformation,[status(thm)],[f318])).
% 0.17/0.48 fof(f415,plain,(
% 0.17/0.48 (?[U]: (ssList(U)&(?[V]: (ssList(V)&(?[W]: (ssList(W)&(?[X]: (ssList(X)&((((V=X&U=W)&(nil=W|~nil=X))&(~neq(X,nil)|(neq(W,nil)&segmentP(X,W))))&((nil=V&~nil=U)|(neq(V,nil)&(![Y]: (((~ssList(Y)|~neq(Y,nil))|~segmentP(V,Y))|~segmentP(U,Y))))))))))))))),
% 0.17/0.48 inference(pre_NNF_transformation,[status(thm)],[f97])).
% 0.17/0.48 fof(f416,definition,(
% 0.17/0.48 ![U,V]: (sP0_prd(V,U)<=>(nil=V&~nil=U))),
% 0.17/0.48 introduced(definition,[new_symbols(definition,[sP0_prd])],[])).
% 0.17/0.48 fof(f417,plain,(
% 0.17/0.48 ?[U]: (ssList(U)&(?[V]: (ssList(V)&(?[W]: (ssList(W)&(?[X]: (ssList(X)&((((V=X&U=W)&(nil=W|~nil=X))&(~neq(X,nil)|(neq(W,nil)&segmentP(X,W))))&(sP0_prd(V,U)|(neq(V,nil)&(![Y]: (((~ssList(Y)|~neq(Y,nil))|~segmentP(V,Y))|~segmentP(U,Y)))))))))))))),
% 0.17/0.48 inference(formula_renaming,[status(thm)],[f415,f416])).
% 0.17/0.48 fof(f418,plain,(
% 0.17/0.48 (ssList(sK47_skl)&(ssList(sK48_skl)&(ssList(sK49_skl)&(ssList(sK50_skl)&((((sK48_skl=sK50_skl&sK47_skl=sK49_skl)&(nil=sK49_skl|~nil=sK50_skl))&(~neq(sK50_skl,nil)|(neq(sK49_skl,nil)&segmentP(sK50_skl,sK49_skl))))&(sP0_prd(sK48_skl,sK47_skl)|(neq(sK48_skl,nil)&(![Y]: (((~ssList(Y)|~neq(Y,nil))|~segmentP(sK48_skl,Y))|~segmentP(sK47_skl,Y))))))))))),
% 0.17/0.48 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)],[f417])).
% 0.17/0.48 fof(f421,plain,(
% 0.17/0.48 ssList(sK49_skl)),
% 0.17/0.48 inference(cnf_transformation,[status(thm)],[f418])).
% 0.17/0.48 fof(f422,plain,(
% 0.17/0.48 ssList(sK50_skl)),
% 0.17/0.48 inference(cnf_transformation,[status(thm)],[f418])).
% 0.17/0.48 fof(f423,plain,(
% 0.17/0.48 sK48_skl=sK50_skl),
% 0.17/0.48 inference(cnf_transformation,[status(thm)],[f418])).
% 0.17/0.48 fof(f424,plain,(
% 0.17/0.48 sK47_skl=sK49_skl),
% 0.17/0.48 inference(cnf_transformation,[status(thm)],[f418])).
% 0.17/0.48 fof(f425,plain,(
% 0.17/0.48 nil=sK49_skl|~nil=sK50_skl),
% 0.17/0.48 inference(cnf_transformation,[status(thm)],[f418])).
% 0.17/0.48 fof(f426,plain,(
% 0.17/0.48 ~neq(sK50_skl,nil)|neq(sK49_skl,nil)),
% 0.17/0.48 inference(cnf_transformation,[status(thm)],[f418])).
% 0.17/0.48 fof(f427,plain,(
% 0.17/0.48 ~neq(sK50_skl,nil)|segmentP(sK50_skl,sK49_skl)),
% 0.17/0.48 inference(cnf_transformation,[status(thm)],[f418])).
% 0.17/0.48 fof(f428,plain,(
% 0.17/0.48 sP0_prd(sK48_skl,sK47_skl)|neq(sK48_skl,nil)),
% 0.17/0.48 inference(cnf_transformation,[status(thm)],[f418])).
% 0.17/0.48 fof(f429,plain,(
% 0.17/0.48 ![X0]: (sP0_prd(sK48_skl,sK47_skl)|~ssList(X0)|~neq(X0,nil)|~segmentP(sK48_skl,X0)|~segmentP(sK47_skl,X0))),
% 0.17/0.48 inference(cnf_transformation,[status(thm)],[f418])).
% 0.17/0.48 fof(f430,plain,(
% 0.17/0.48 ![U,V]: ((~sP0_prd(V,U)|(nil=V&~nil=U))&(sP0_prd(V,U)|(~nil=V|nil=U)))),
% 0.17/0.48 inference(NNF_transformation,[status(thm)],[f416])).
% 0.17/0.48 fof(f431,plain,(
% 0.17/0.48 (![U,V]: (~sP0_prd(V,U)|(nil=V&~nil=U)))&(![U,V]: (sP0_prd(V,U)|(~nil=V|nil=U)))),
% 0.17/0.48 inference(miniscoping,[status(thm)],[f430])).
% 0.17/0.48 fof(f432,plain,(
% 0.17/0.48 ![X0,X1]: (~sP0_prd(X0,X1)|nil=X0)),
% 0.17/0.48 inference(cnf_transformation,[status(thm)],[f431])).
% 0.17/0.48 fof(f433,plain,(
% 0.17/0.48 ![X0,X1]: (~sP0_prd(X0,X1)|~nil=X1)),
% 0.17/0.48 inference(cnf_transformation,[status(thm)],[f431])).
% 0.17/0.48 fof(f435,definition,(
% 0.17/0.48 sQ0_spl <=> (nil=sK49_skl)),
% 0.17/0.48 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.17/0.48 fof(f436,plain,(
% 0.17/0.48 nil=sK49_skl|~sQ0_spl),
% 0.17/0.48 inference(component_clause,[status(thm)],[f435])).
% 0.17/0.48 fof(f438,definition,(
% 0.17/0.48 sQ1_spl <=> (nil=sK50_skl)),
% 0.17/0.48 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.17/0.48 fof(f440,plain,(
% 0.17/0.48 ~nil=sK50_skl|sQ1_spl),
% 0.17/0.48 inference(component_clause,[status(thm)],[f438])).
% 0.17/0.48 fof(f441,plain,(
% 0.17/0.48 sQ0_spl|~sQ1_spl),
% 0.17/0.48 inference(split_clause,[status(thm)],[f425,f435,f438])).
% 0.17/0.48 fof(f442,definition,(
% 0.17/0.48 sQ2_spl <=> (neq(sK50_skl,nil))),
% 0.17/0.48 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.17/0.48 fof(f444,plain,(
% 0.17/0.48 ~neq(sK50_skl,nil)|sQ2_spl),
% 0.17/0.48 inference(component_clause,[status(thm)],[f442])).
% 0.17/0.48 fof(f445,definition,(
% 0.17/0.48 sQ3_spl <=> (neq(sK49_skl,nil))),
% 0.17/0.48 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.17/0.48 fof(f446,plain,(
% 0.17/0.48 neq(sK49_skl,nil)|~sQ3_spl),
% 0.17/0.48 inference(component_clause,[status(thm)],[f445])).
% 0.17/0.48 fof(f448,plain,(
% 0.17/0.48 ~sQ2_spl|sQ3_spl),
% 0.17/0.48 inference(split_clause,[status(thm)],[f426,f442,f445])).
% 0.17/0.48 fof(f449,definition,(
% 0.17/0.48 sQ4_spl <=> (segmentP(sK50_skl,sK49_skl))),
% 0.17/0.48 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 0.17/0.48 fof(f452,plain,(
% 0.17/0.48 ~sQ2_spl|sQ4_spl),
% 0.17/0.48 inference(split_clause,[status(thm)],[f427,f442,f449])).
% 0.17/0.48 fof(f453,definition,(
% 0.17/0.48 sQ5_spl <=> (sP0_prd(sK48_skl,sK47_skl))),
% 0.17/0.48 introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition])).
% 0.17/0.48 fof(f454,plain,(
% 0.17/0.48 sP0_prd(sK48_skl,sK47_skl)|~sQ5_spl),
% 0.17/0.48 inference(component_clause,[status(thm)],[f453])).
% 0.17/0.48 fof(f456,definition,(
% 0.17/0.48 sQ6_spl <=> (neq(sK48_skl,nil))),
% 0.17/0.48 introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition])).
% 0.17/0.48 fof(f457,plain,(
% 0.17/0.48 neq(sK48_skl,nil)|~sQ6_spl),
% 0.17/0.48 inference(component_clause,[status(thm)],[f456])).
% 0.17/0.48 fof(f459,plain,(
% 0.17/0.48 sQ5_spl|sQ6_spl),
% 0.17/0.48 inference(split_clause,[status(thm)],[f428,f453,f456])).
% 0.17/0.48 fof(f460,definition,(
% 0.17/0.48 ![X0]: (sQ7_spl <=> (~ssList(X0)|~neq(X0,nil)|~segmentP(sK48_skl,X0)|~segmentP(sK47_skl,X0)))),
% 0.17/0.48 introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition])).
% 0.17/0.48 fof(f461,plain,(
% 0.17/0.48 ![X0]: (~ssList(X0)|~neq(X0,nil)|~segmentP(sK48_skl,X0)|~segmentP(sK47_skl,X0)|~sQ7_spl)),
% 0.17/0.48 inference(component_clause,[status(thm)],[f460])).
% 0.17/0.48 fof(f463,plain,(
% 0.17/0.48 sQ5_spl|sQ7_spl),
% 0.17/0.48 inference(split_clause,[status(thm)],[f429,f453,f460])).
% 0.17/0.48 fof(f494,plain,(
% 0.17/0.48 ![X0]: (~sP0_prd(X0,nil))),
% 0.17/0.48 inference(destructive_equality_resolution,[status(thm)],[f433])).
% 0.17/0.48 fof(f499,plain,(
% 0.17/0.48 ![X0]: (~sP0_prd(X0,sK49_skl)|~sQ0_spl)),
% 0.17/0.48 inference(forward_demodulation,[status(thm)],[f436,f494])).
% 0.17/0.48 fof(f500,plain,(
% 0.17/0.48 sP0_prd(sK50_skl,sK47_skl)|~sQ5_spl),
% 0.17/0.48 inference(forward_demodulation,[status(thm)],[f423,f454])).
% 0.17/0.48 fof(f501,plain,(
% 0.17/0.48 sP0_prd(sK50_skl,sK49_skl)|~sQ5_spl),
% 0.17/0.48 inference(forward_demodulation,[status(thm)],[f424,f500])).
% 0.17/0.48 fof(f502,plain,(
% 0.17/0.48 $false|~sQ0_spl|~sQ5_spl),
% 0.17/0.48 inference(forward_subsumption_resolution,[status(thm)],[f501,f499])).
% 0.17/0.48 fof(f503,plain,(
% 0.17/0.48 ~sQ0_spl|~sQ5_spl),
% 0.17/0.48 inference(contradiction_clause,[status(thm)],[f502])).
% 0.17/0.48 fof(f504,plain,(
% 0.17/0.48 neq(sK50_skl,nil)|~sQ6_spl),
% 0.17/0.48 inference(forward_demodulation,[status(thm)],[f423,f457])).
% 0.17/0.48 fof(f505,plain,(
% 0.17/0.48 ![X0]: (~ssList(X0)|~neq(X0,nil)|~segmentP(sK50_skl,X0)|~segmentP(sK47_skl,X0)|~sQ7_spl)),
% 0.17/0.48 inference(forward_demodulation,[status(thm)],[f423,f461])).
% 0.17/0.48 fof(f506,plain,(
% 0.17/0.48 ![X0]: (~ssList(X0)|~neq(X0,nil)|~segmentP(sK50_skl,X0)|~segmentP(sK49_skl,X0)|~sQ7_spl)),
% 0.17/0.48 inference(forward_demodulation,[status(thm)],[f424,f505])).
% 0.17/0.48 fof(f509,plain,(
% 0.17/0.48 $false|sQ2_spl|~sQ6_spl),
% 0.17/0.48 inference(forward_subsumption_resolution,[status(thm)],[f504,f444])).
% 0.17/0.48 fof(f510,plain,(
% 0.17/0.48 sQ2_spl|~sQ6_spl),
% 0.17/0.48 inference(contradiction_clause,[status(thm)],[f509])).
% 0.17/0.48 fof(f513,plain,(
% 0.17/0.48 nil=sK50_skl|~sQ5_spl),
% 0.17/0.48 inference(resolution,[status(thm)],[f432,f501])).
% 0.17/0.48 fof(f514,plain,(
% 0.17/0.48 $false|sQ1_spl|~sQ5_spl),
% 0.17/0.48 inference(forward_subsumption_resolution,[status(thm)],[f513,f440])).
% 0.17/0.48 fof(f515,plain,(
% 0.17/0.48 sQ1_spl|~sQ5_spl),
% 0.17/0.48 inference(contradiction_clause,[status(thm)],[f514])).
% 0.17/0.48 fof(f542,plain,(
% 0.17/0.48 ~singletonP(nil)|ssItem(sK4_skl(nil))),
% 0.17/0.48 inference(resolution,[status(thm)],[f116,f223])).
% 0.17/0.48 fof(f543,plain,(
% 0.17/0.48 ~singletonP(sK49_skl)|ssItem(sK4_skl(sK49_skl))),
% 0.17/0.48 inference(resolution,[status(thm)],[f116,f421])).
% 0.17/0.48 fof(f544,plain,(
% 0.17/0.48 ~singletonP(sK50_skl)|ssItem(sK4_skl(sK50_skl))),
% 0.17/0.48 inference(resolution,[status(thm)],[f116,f422])).
% 0.17/0.48 fof(f545,definition,(
% 0.17/0.48 sQ8_spl <=> (singletonP(nil))),
% 0.17/0.48 introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition])).
% 0.17/0.48 fof(f548,definition,(
% 0.17/0.48 sQ9_spl <=> (ssItem(sK4_skl(nil)))),
% 0.17/0.48 introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition])).
% 0.17/0.48 fof(f551,plain,(
% 0.17/0.48 ~sQ8_spl|sQ9_spl),
% 0.17/0.48 inference(split_clause,[status(thm)],[f542,f545,f548])).
% 0.17/0.48 fof(f552,definition,(
% 0.17/0.48 sQ10_spl <=> (singletonP(sK49_skl))),
% 0.17/0.48 introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition])).
% 0.17/0.48 fof(f555,definition,(
% 0.17/0.48 sQ11_spl <=> (ssItem(sK4_skl(sK49_skl)))),
% 0.17/0.48 introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition])).
% 0.17/0.48 fof(f558,plain,(
% 0.17/0.48 ~sQ10_spl|sQ11_spl),
% 0.17/0.48 inference(split_clause,[status(thm)],[f543,f552,f555])).
% 0.17/0.48 fof(f559,definition,(
% 0.17/0.48 sQ12_spl <=> (singletonP(sK50_skl))),
% 0.17/0.48 introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition])).
% 0.17/0.48 fof(f562,definition,(
% 0.17/0.48 sQ13_spl <=> (ssItem(sK4_skl(sK50_skl)))),
% 0.17/0.48 introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition])).
% 0.17/0.48 fof(f565,plain,(
% 0.17/0.48 ~sQ12_spl|sQ13_spl),
% 0.17/0.48 inference(split_clause,[status(thm)],[f544,f559,f562])).
% 0.17/0.48 fof(f566,plain,(
% 0.17/0.48 ~singletonP(nil)|cons(sK4_skl(nil),nil)=nil),
% 0.17/0.48 inference(resolution,[status(thm)],[f117,f223])).
% 0.17/0.48 fof(f567,plain,(
% 0.17/0.48 ~singletonP(sK49_skl)|cons(sK4_skl(sK49_skl),nil)=sK49_skl),
% 0.17/0.48 inference(resolution,[status(thm)],[f117,f421])).
% 0.17/0.48 fof(f568,plain,(
% 0.17/0.48 ~singletonP(sK50_skl)|cons(sK4_skl(sK50_skl),nil)=sK50_skl),
% 0.17/0.48 inference(resolution,[status(thm)],[f117,f422])).
% 0.17/0.48 fof(f569,definition,(
% 0.17/0.48 sQ14_spl <=> (cons(sK4_skl(nil),nil)=nil)),
% 0.17/0.48 introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition])).
% 0.17/0.48 fof(f572,plain,(
% 0.17/0.48 ~sQ8_spl|sQ14_spl),
% 0.17/0.48 inference(split_clause,[status(thm)],[f566,f545,f569])).
% 0.17/0.48 fof(f573,definition,(
% 0.17/0.48 sQ15_spl <=> (cons(sK4_skl(sK49_skl),nil)=sK49_skl)),
% 0.17/0.48 introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition])).
% 0.17/0.48 fof(f576,plain,(
% 0.17/0.48 ~sQ10_spl|sQ15_spl),
% 0.17/0.48 inference(split_clause,[status(thm)],[f567,f552,f573])).
% 0.17/0.48 fof(f577,definition,(
% 0.17/0.48 sQ16_spl <=> (cons(sK4_skl(sK50_skl),nil)=sK50_skl)),
% 0.17/0.48 introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition])).
% 0.17/0.48 fof(f580,plain,(
% 0.17/0.48 ~sQ12_spl|sQ16_spl),
% 0.17/0.48 inference(split_clause,[status(thm)],[f568,f559,f577])).
% 0.17/0.48 fof(f581,plain,(
% 0.17/0.48 ~ssList(sK49_skl)|~segmentP(sK50_skl,sK49_skl)|~segmentP(sK49_skl,sK49_skl)|~sQ7_spl|~sQ3_spl),
% 0.17/0.50 inference(resolution,[status(thm)],[f506,f446])).
% 0.17/0.50 fof(f583,definition,(
% 0.17/0.50 sQ17_spl <=> (ssList(sK49_skl))),
% 0.17/0.50 introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition])).
% 0.17/0.50 fof(f585,plain,(
% 0.17/0.50 ~ssList(sK49_skl)|sQ17_spl),
% 0.17/0.50 inference(component_clause,[status(thm)],[f583])).
% 0.17/0.50 fof(f586,definition,(
% 0.17/0.50 sQ18_spl <=> (segmentP(sK49_skl,sK49_skl))),
% 0.17/0.50 introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition])).
% 0.17/0.50 fof(f588,plain,(
% 0.17/0.50 ~segmentP(sK49_skl,sK49_skl)|sQ18_spl),
% 0.17/0.50 inference(component_clause,[status(thm)],[f586])).
% 0.17/0.50 fof(f589,plain,(
% 0.17/0.50 ~sQ17_spl|~sQ4_spl|~sQ18_spl|~sQ7_spl|~sQ3_spl),
% 0.17/0.50 inference(split_clause,[status(thm)],[f581,f583,f449,f586,f460,f445])).
% 0.17/0.50 fof(f600,plain,(
% 0.17/0.50 $false|sQ17_spl),
% 0.17/0.50 inference(forward_subsumption_resolution,[status(thm)],[f585,f421])).
% 0.17/0.50 fof(f601,plain,(
% 0.17/0.50 sQ17_spl),
% 0.17/0.50 inference(contradiction_clause,[status(thm)],[f600])).
% 0.17/0.50 fof(f603,plain,(
% 0.17/0.50 segmentP(sK49_skl,sK49_skl)),
% 0.17/0.50 inference(resolution,[status(thm)],[f319,f421])).
% 0.17/0.50 fof(f605,plain,(
% 0.17/0.50 $false|sQ18_spl),
% 0.17/0.50 inference(forward_subsumption_resolution,[status(thm)],[f603,f588])).
% 0.17/0.50 fof(f606,plain,(
% 0.17/0.50 sQ18_spl),
% 0.17/0.50 inference(contradiction_clause,[status(thm)],[f605])).
% 0.17/0.50 fof(f607,plain,(
% 0.17/0.50 $false),
% 0.17/0.50 inference(sat_refutation,[status(thm)],[f441,f448,f452,f459,f463,f503,f510,f515,f551,f558,f565,f572,f576,f580,f589,f601,f606])).
% 0.17/0.50 % SZS output end CNFRefutation for theBenchmark.p
% 0.26/0.56 % Elapsed time: 0.109020 seconds
% 0.26/0.56 % CPU time: 0.143947 seconds
% 0.26/0.56 % Total memory used: 27.814 MB
% 0.26/0.56 % Net memory used: 27.775 MB
%------------------------------------------------------------------------------