%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SWC385+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 : n016.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 02:42:20 PM UTC 2026
% Result : Theorem 0.11s 5.40s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC385+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/5.37 % Computer : n016.cluster.edu
% 0.11/5.37 % Model : x86_64 x86_64
% 0.11/5.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/5.37 % Memory : 8046.5625MB
% 0.11/5.37 % OS : Linux 6.8.0-71-generic
% 0.11/5.37 % CPULimit : 300
% 0.11/5.37 % WCLimit : 300
% 0.11/5.37 % DateTime : Mon Sep 21 08:25:15 UTC 2026
% 0.11/5.37 % CPUTime :
% 0.11/5.39 % Drodi V4.1.1
% 0.11/5.40 % Refutation found
% 0.11/5.40 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.11/5.40 % SZS output start CNFRefutation for theBenchmark
% 0.11/5.40 fof(f96,conjecture,(
% 0.11/5.40 (! [U] :( ssList(U)=> (! [V] :( ssList(V)=> (! [W] :( ssList(W)=> (! [X] :( ssList(X)=> ( V != X| U != W| ~ neq(V,nil)| ~ segmentP(X,W)| ( ~ singletonP(W)& neq(X,nil) )| ( singletonP(U)& segmentP(V,U) ) ) ) )) )) )) )),
% 0.11/5.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/5.40 fof(f97,negated_conjecture,(
% 0.11/5.40 ~((! [U] :( ssList(U)=> (! [V] :( ssList(V)=> (! [W] :( ssList(W)=> (! [X] :( ssList(X)=> ( V != X| U != W| ~ neq(V,nil)| ~ segmentP(X,W)| ( ~ singletonP(W)& neq(X,nil) )| ( singletonP(U)& segmentP(V,U) ) ) ) )) )) )) ))),
% 0.11/5.40 inference(negated_conjecture,[status(cth)],[f96])).
% 0.11/5.40 fof(f415,plain,(
% 0.11/5.40 (?[U]: (ssList(U)&(?[V]: (ssList(V)&(?[W]: (ssList(W)&(?[X]: (ssList(X)&(((((V=X&U=W)&neq(V,nil))&segmentP(X,W))&(singletonP(W)|~neq(X,nil)))&(~singletonP(U)|~segmentP(V,U)))))))))))),
% 0.11/5.40 inference(pre_NNF_transformation,[status(thm)],[f97])).
% 0.11/5.40 fof(f416,plain,(
% 0.11/5.40 (ssList(sK47_skl)&(ssList(sK48_skl)&(ssList(sK49_skl)&(ssList(sK50_skl)&(((((sK48_skl=sK50_skl&sK47_skl=sK49_skl)&neq(sK48_skl,nil))&segmentP(sK50_skl,sK49_skl))&(singletonP(sK49_skl)|~neq(sK50_skl,nil)))&(~singletonP(sK47_skl)|~segmentP(sK48_skl,sK47_skl)))))))),
% 0.11/5.40 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)],[f415])).
% 0.11/5.40 fof(f421,plain,(
% 0.11/5.40 sK48_skl=sK50_skl),
% 0.11/5.40 inference(cnf_transformation,[status(thm)],[f416])).
% 0.11/5.40 fof(f422,plain,(
% 0.11/5.40 sK47_skl=sK49_skl),
% 0.11/5.40 inference(cnf_transformation,[status(thm)],[f416])).
% 0.11/5.40 fof(f423,plain,(
% 0.11/5.40 neq(sK48_skl,nil)),
% 0.11/5.40 inference(cnf_transformation,[status(thm)],[f416])).
% 0.11/5.40 fof(f424,plain,(
% 0.11/5.40 segmentP(sK50_skl,sK49_skl)),
% 0.11/5.40 inference(cnf_transformation,[status(thm)],[f416])).
% 0.11/5.40 fof(f425,plain,(
% 0.11/5.40 singletonP(sK49_skl)|~neq(sK50_skl,nil)),
% 0.11/5.40 inference(cnf_transformation,[status(thm)],[f416])).
% 0.11/5.40 fof(f426,plain,(
% 0.11/5.40 ~singletonP(sK47_skl)|~segmentP(sK48_skl,sK47_skl)),
% 0.11/5.40 inference(cnf_transformation,[status(thm)],[f416])).
% 0.11/5.40 fof(f427,definition,(
% 0.11/5.40 sQ0_spl <=> (singletonP(sK49_skl))),
% 0.11/5.40 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.11/5.40 fof(f428,plain,(
% 0.11/5.40 singletonP(sK49_skl)|~sQ0_spl),
% 0.11/5.40 inference(component_clause,[status(thm)],[f427])).
% 0.11/5.40 fof(f430,definition,(
% 0.11/5.40 sQ1_spl <=> (neq(sK50_skl,nil))),
% 0.11/5.40 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.11/5.40 fof(f432,plain,(
% 0.11/5.40 ~neq(sK50_skl,nil)|sQ1_spl),
% 0.11/5.40 inference(component_clause,[status(thm)],[f430])).
% 0.11/5.40 fof(f433,plain,(
% 0.11/5.40 sQ0_spl|~sQ1_spl),
% 0.11/5.40 inference(split_clause,[status(thm)],[f425,f427,f430])).
% 0.11/5.40 fof(f434,definition,(
% 0.11/5.40 sQ2_spl <=> (singletonP(sK47_skl))),
% 0.11/5.40 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.11/5.40 fof(f436,plain,(
% 0.11/5.40 ~singletonP(sK47_skl)|sQ2_spl),
% 0.11/5.40 inference(component_clause,[status(thm)],[f434])).
% 0.11/5.40 fof(f437,definition,(
% 0.11/5.40 sQ3_spl <=> (segmentP(sK48_skl,sK47_skl))),
% 0.11/5.40 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.11/5.40 fof(f439,plain,(
% 0.11/5.40 ~segmentP(sK48_skl,sK47_skl)|sQ3_spl),
% 0.11/5.40 inference(component_clause,[status(thm)],[f437])).
% 0.11/5.40 fof(f440,plain,(
% 0.11/5.40 ~sQ2_spl|~sQ3_spl),
% 0.11/5.40 inference(split_clause,[status(thm)],[f426,f434,f437])).
% 0.11/5.40 fof(f473,plain,(
% 0.11/5.40 ~singletonP(sK49_skl)|sQ2_spl),
% 0.11/5.40 inference(forward_demodulation,[status(thm)],[f422,f436])).
% 0.11/5.40 fof(f474,plain,(
% 0.11/5.40 $false|sQ2_spl|~sQ0_spl),
% 0.11/5.40 inference(forward_subsumption_resolution,[status(thm)],[f428,f473])).
% 0.11/5.40 fof(f475,plain,(
% 0.11/5.40 sQ2_spl|~sQ0_spl),
% 0.11/5.40 inference(contradiction_clause,[status(thm)],[f474])).
% 0.11/5.40 fof(f476,plain,(
% 0.11/5.40 ~segmentP(sK50_skl,sK47_skl)|sQ3_spl),
% 0.11/5.40 inference(forward_demodulation,[status(thm)],[f421,f439])).
% 0.11/5.40 fof(f477,plain,(
% 0.11/5.40 ~segmentP(sK50_skl,sK49_skl)|sQ3_spl),
% 0.11/5.40 inference(forward_demodulation,[status(thm)],[f422,f476])).
% 0.11/5.40 fof(f479,plain,(
% 0.11/5.40 neq(sK50_skl,nil)),
% 0.11/5.40 inference(forward_demodulation,[status(thm)],[f421,f423])).
% 0.11/5.40 fof(f480,plain,(
% 0.11/5.40 $false|sQ3_spl),
% 0.11/5.40 inference(forward_subsumption_resolution,[status(thm)],[f477,f424])).
% 0.13/5.40 fof(f481,plain,(
% 0.13/5.40 sQ3_spl),
% 0.13/5.40 inference(contradiction_clause,[status(thm)],[f480])).
% 0.13/5.40 fof(f486,plain,(
% 0.13/5.40 $false|sQ1_spl),
% 0.13/5.40 inference(forward_subsumption_resolution,[status(thm)],[f432,f479])).
% 0.13/5.40 fof(f487,plain,(
% 0.13/5.40 sQ1_spl),
% 0.13/5.40 inference(contradiction_clause,[status(thm)],[f486])).
% 0.13/5.40 fof(f488,plain,(
% 0.13/5.40 $false),
% 0.13/5.40 inference(sat_refutation,[status(thm)],[f433,f440,f475,f481,f487])).
% 0.13/5.40 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/5.42 % Elapsed time: 0.045173 seconds
% 0.13/5.42 % CPU time: 0.091738 seconds
% 0.13/5.42 % Total memory used: 17.262 MB
% 0.13/5.42 % Net memory used: 17.237 MB
%------------------------------------------------------------------------------