%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SWC086+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 : 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 02:41:32 PM UTC 2026
% Result : Theorem 0.15s 0.40s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC086+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
% 0.09/0.36 % Computer : n013.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Mon Sep 21 07:54:05 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 % Drodi V4.1.1
% 0.15/0.40 % Refutation found
% 0.15/0.40 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.15/0.40 % SZS output start CNFRefutation for theBenchmark
% 0.15/0.40 fof(f15,axiom,(
% 0.15/0.40 (! [U] :( ssList(U)=> (! [V] :( ssList(V)=> ( neq(U,V)<=> U != V ) ) )) )),
% 0.15/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.40 fof(f55,axiom,(
% 0.15/0.40 (! [U] :( ssList(U)=> segmentP(U,U) ) )),
% 0.15/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.40 fof(f96,conjecture,(
% 0.15/0.40 (! [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) ))| ( ( nil != X| nil != W )& ( ~ neq(W,nil)| ~ segmentP(X,W) ) ) ) ) )) )) )) )),
% 0.15/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.40 fof(f97,negated_conjecture,(
% 0.15/0.40 ~((! [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) ))| ( ( nil != X| nil != W )& ( ~ neq(W,nil)| ~ segmentP(X,W) ) ) ) ) )) )) )) ))),
% 0.15/0.40 inference(negated_conjecture,[status(cth)],[f96])).
% 0.15/0.40 fof(f217,plain,(
% 0.15/0.40 ![U]: (~ssList(U)|(![V]: (~ssList(V)|(neq(U,V)<=>~U=V))))),
% 0.15/0.40 inference(pre_NNF_transformation,[status(thm)],[f15])).
% 0.15/0.40 fof(f218,plain,(
% 0.15/0.40 ![U]: (~ssList(U)|(![V]: (~ssList(V)|((~neq(U,V)|~U=V)&(neq(U,V)|U=V)))))),
% 0.15/0.40 inference(NNF_transformation,[status(thm)],[f217])).
% 0.15/0.40 fof(f219,plain,(
% 0.15/0.40 ![X0,X1]: (~ssList(X0)|~ssList(X1)|~neq(X0,X1)|~X0=X1)),
% 0.15/0.40 inference(cnf_transformation,[status(thm)],[f218])).
% 0.15/0.40 fof(f318,plain,(
% 0.15/0.40 ![U]: (~ssList(U)|segmentP(U,U))),
% 0.15/0.40 inference(pre_NNF_transformation,[status(thm)],[f55])).
% 0.15/0.40 fof(f319,plain,(
% 0.15/0.40 ![X0]: (~ssList(X0)|segmentP(X0,X0))),
% 0.15/0.40 inference(cnf_transformation,[status(thm)],[f318])).
% 0.15/0.40 fof(f415,plain,(
% 0.15/0.40 (?[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))))&((nil=X&nil=W)|(neq(W,nil)&segmentP(X,W))))))))))))),
% 0.15/0.40 inference(pre_NNF_transformation,[status(thm)],[f97])).
% 0.15/0.40 fof(f416,definition,(
% 0.15/0.40 ![W,X]: (sP0_prd(X,W)<=>(nil=X&nil=W))),
% 0.15/0.40 introduced(definition,[new_symbols(definition,[sP0_prd])],[])).
% 0.15/0.40 fof(f417,plain,(
% 0.15/0.40 ?[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))))&(sP0_prd(X,W)|(neq(W,nil)&segmentP(X,W)))))))))))),
% 0.15/0.40 inference(formula_renaming,[status(thm)],[f415,f416])).
% 0.15/0.40 fof(f418,plain,(
% 0.15/0.40 (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))))&(sP0_prd(sK50_skl,sK49_skl)|(neq(sK49_skl,nil)&segmentP(sK50_skl,sK49_skl))))))))),
% 0.15/0.40 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])).
% 0.15/0.40 fof(f421,plain,(
% 0.15/0.40 ssList(sK49_skl)),
% 0.15/0.40 inference(cnf_transformation,[status(thm)],[f418])).
% 0.15/0.40 fof(f422,plain,(
% 0.15/0.40 ssList(sK50_skl)),
% 0.15/0.40 inference(cnf_transformation,[status(thm)],[f418])).
% 0.15/0.40 fof(f423,plain,(
% 0.15/0.40 sK48_skl=sK50_skl),
% 0.15/0.40 inference(cnf_transformation,[status(thm)],[f418])).
% 0.15/0.40 fof(f424,plain,(
% 0.15/0.40 sK47_skl=sK49_skl),
% 0.15/0.40 inference(cnf_transformation,[status(thm)],[f418])).
% 0.15/0.40 fof(f425,plain,(
% 0.15/0.40 neq(sK48_skl,nil)),
% 0.15/0.40 inference(cnf_transformation,[status(thm)],[f418])).
% 0.15/0.40 fof(f426,plain,(
% 0.15/0.40 ![X0]: (~ssList(X0)|~neq(X0,nil)|~segmentP(sK48_skl,X0)|~segmentP(sK47_skl,X0))),
% 0.15/0.40 inference(cnf_transformation,[status(thm)],[f418])).
% 0.15/0.40 fof(f427,plain,(
% 0.15/0.40 sP0_prd(sK50_skl,sK49_skl)|neq(sK49_skl,nil)),
% 0.15/0.40 inference(cnf_transformation,[status(thm)],[f418])).
% 0.15/0.40 fof(f428,plain,(
% 0.15/0.40 sP0_prd(sK50_skl,sK49_skl)|segmentP(sK50_skl,sK49_skl)),
% 0.15/0.40 inference(cnf_transformation,[status(thm)],[f418])).
% 0.15/0.40 fof(f429,plain,(
% 0.15/0.40 ![W,X]: ((~sP0_prd(X,W)|(nil=X&nil=W))&(sP0_prd(X,W)|(~nil=X|~nil=W)))),
% 0.15/0.40 inference(NNF_transformation,[status(thm)],[f416])).
% 0.15/0.40 fof(f430,plain,(
% 0.15/0.40 (![W,X]: (~sP0_prd(X,W)|(nil=X&nil=W)))&(![W,X]: (sP0_prd(X,W)|(~nil=X|~nil=W)))),
% 0.15/0.40 inference(miniscoping,[status(thm)],[f429])).
% 0.15/0.40 fof(f431,plain,(
% 0.15/0.40 ![X0,X1]: (~sP0_prd(X0,X1)|nil=X0)),
% 0.15/0.40 inference(cnf_transformation,[status(thm)],[f430])).
% 0.15/0.40 fof(f434,definition,(
% 0.15/0.40 sQ0_spl <=> (sP0_prd(sK50_skl,sK49_skl))),
% 0.15/0.40 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.15/0.40 fof(f435,plain,(
% 0.15/0.40 sP0_prd(sK50_skl,sK49_skl)|~sQ0_spl),
% 0.15/0.40 inference(component_clause,[status(thm)],[f434])).
% 0.15/0.40 fof(f437,definition,(
% 0.15/0.40 sQ1_spl <=> (neq(sK49_skl,nil))),
% 0.15/0.40 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.15/0.40 fof(f438,plain,(
% 0.15/0.40 neq(sK49_skl,nil)|~sQ1_spl),
% 0.15/0.40 inference(component_clause,[status(thm)],[f437])).
% 0.15/0.40 fof(f440,plain,(
% 0.15/0.40 sQ0_spl|sQ1_spl),
% 0.15/0.40 inference(split_clause,[status(thm)],[f427,f434,f437])).
% 0.15/0.40 fof(f441,definition,(
% 0.15/0.40 sQ2_spl <=> (segmentP(sK50_skl,sK49_skl))),
% 0.15/0.40 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.15/0.40 fof(f444,plain,(
% 0.15/0.40 sQ0_spl|sQ2_spl),
% 0.15/0.40 inference(split_clause,[status(thm)],[f428,f434,f441])).
% 0.15/0.40 fof(f460,plain,(
% 0.15/0.40 ![X1]: (~ssList(X1)|~ssList(X1)|~neq(X1,X1))),
% 0.15/0.40 inference(destructive_equality_resolution,[status(thm)],[f219])).
% 0.15/0.40 fof(f461,plain,(
% 0.15/0.40 ![X0]: (~ssList(X0)|~neq(X0,X0))),
% 0.15/0.40 inference(duplicate_literals_removal,[status(thm)],[f460])).
% 0.15/0.40 fof(f478,plain,(
% 0.15/0.40 neq(sK50_skl,nil)),
% 0.15/0.40 inference(forward_demodulation,[status(thm)],[f423,f425])).
% 0.15/0.40 fof(f481,plain,(
% 0.15/0.40 segmentP(sK49_skl,sK49_skl)),
% 0.15/0.40 inference(resolution,[status(thm)],[f319,f421])).
% 0.15/0.40 fof(f489,plain,(
% 0.15/0.40 nil=sK50_skl|~sQ0_spl),
% 0.15/0.40 inference(resolution,[status(thm)],[f431,f435])).
% 0.15/0.40 fof(f502,plain,(
% 0.15/0.40 neq(sK50_skl,sK50_skl)|~sQ0_spl),
% 0.15/0.40 inference(backward_demodulation,[status(thm)],[f489,f478])).
% 0.15/0.40 fof(f512,plain,(
% 0.15/0.40 ~ssList(sK50_skl)|~sQ0_spl),
% 0.15/0.40 inference(resolution,[status(thm)],[f502,f461])).
% 0.15/0.40 fof(f524,plain,(
% 0.15/0.40 $false|~sQ0_spl),
% 0.15/0.40 inference(forward_subsumption_resolution,[status(thm)],[f512,f422])).
% 0.15/0.40 fof(f525,plain,(
% 0.15/0.40 ~sQ0_spl),
% 0.15/0.40 inference(contradiction_clause,[status(thm)],[f524])).
% 0.15/0.40 fof(f526,plain,(
% 0.15/0.40 ![X0]: (~ssList(X0)|~neq(X0,nil)|~segmentP(sK50_skl,X0)|~segmentP(sK47_skl,X0))),
% 0.15/0.40 inference(forward_demodulation,[status(thm)],[f423,f426])).
% 0.15/0.40 fof(f527,plain,(
% 0.15/0.40 ![X0]: (~ssList(X0)|~neq(X0,nil)|~segmentP(sK50_skl,X0)|~segmentP(sK49_skl,X0))),
% 0.15/0.40 inference(forward_demodulation,[status(thm)],[f424,f526])).
% 0.15/0.40 fof(f537,definition,(
% 0.15/0.40 sQ7_spl <=> (ssList(sK49_skl))),
% 0.15/0.40 introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition])).
% 0.15/0.40 fof(f539,plain,(
% 0.15/0.40 ~ssList(sK49_skl)|sQ7_spl),
% 0.15/0.40 inference(component_clause,[status(thm)],[f537])).
% 0.15/0.40 fof(f557,plain,(
% 0.15/0.40 $false|sQ7_spl),
% 0.15/0.40 inference(forward_subsumption_resolution,[status(thm)],[f539,f421])).
% 0.15/0.40 fof(f558,plain,(
% 0.15/0.40 sQ7_spl),
% 0.15/0.40 inference(contradiction_clause,[status(thm)],[f557])).
% 0.15/0.40 fof(f609,plain,(
% 0.15/0.40 ~ssList(sK49_skl)|~segmentP(sK50_skl,sK49_skl)|~segmentP(sK49_skl,sK49_skl)|~sQ1_spl),
% 0.15/0.40 inference(resolution,[status(thm)],[f527,f438])).
% 0.15/0.40 fof(f611,definition,(
% 0.15/0.40 sQ21_spl <=> (segmentP(sK49_skl,sK49_skl))),
% 0.15/0.40 introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition])).
% 0.15/0.40 fof(f613,plain,(
% 0.15/0.40 ~segmentP(sK49_skl,sK49_skl)|sQ21_spl),
% 0.15/0.40 inference(component_clause,[status(thm)],[f611])).
% 0.15/0.40 fof(f614,plain,(
% 0.15/0.40 ~sQ7_spl|~sQ2_spl|~sQ21_spl|~sQ1_spl),
% 0.15/0.40 inference(split_clause,[status(thm)],[f609,f537,f441,f611,f437])).
% 0.15/0.40 fof(f617,plain,(
% 0.15/0.40 $false|sQ21_spl),
% 0.15/0.40 inference(forward_subsumption_resolution,[status(thm)],[f613,f481])).
% 0.15/0.40 fof(f618,plain,(
% 0.15/0.40 sQ21_spl),
% 0.15/0.40 inference(contradiction_clause,[status(thm)],[f617])).
% 0.15/0.40 fof(f619,plain,(
% 0.15/0.40 $false),
% 0.15/0.40 inference(sat_refutation,[status(thm)],[f440,f444,f525,f558,f614,f618])).
% 0.15/0.40 % SZS output end CNFRefutation for theBenchmark.p
% 0.15/0.43 % Elapsed time: 0.054472 seconds
% 0.15/0.43 % CPU time: 0.169132 seconds
% 0.15/0.43 % Total memory used: 110.664 MB
% 0.15/0.43 % Net memory used: 110.509 MB
%------------------------------------------------------------------------------