%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SWC328+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 : n019.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 02:42:10 PM UTC 2026
% Result : Theorem 0.13s 0.40s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC328+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
% 0.10/0.36 % Computer : n019.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Mon Sep 21 08:16:04 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.13/0.38 % Drodi V4.1.1
% 0.13/0.40 % Refutation found
% 0.13/0.40 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.13/0.40 % SZS output start CNFRefutation for theBenchmark
% 0.13/0.40 fof(f57,axiom,(
% 0.13/0.40 (! [U] :( ssList(U)=> segmentP(U,nil) ) )),
% 0.13/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f74,axiom,(
% 0.13/0.40 equalelemsP(nil) ),
% 0.13/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f96,conjecture,(
% 0.13/0.40 (! [U] :( ssList(U)=> (! [V] :( ssList(V)=> (! [W] :( ssList(W)=> (! [X] :( ssList(X)=> ( nil != W| V != X| U != W| ( segmentP(V,U)& equalelemsP(U) ) ) ) )) )) )) )),
% 0.13/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f97,negated_conjecture,(
% 0.13/0.40 ~((! [U] :( ssList(U)=> (! [V] :( ssList(V)=> (! [W] :( ssList(W)=> (! [X] :( ssList(X)=> ( nil != W| V != X| U != W| ( segmentP(V,U)& equalelemsP(U) ) ) ) )) )) )) ))),
% 0.13/0.40 inference(negated_conjecture,[status(cth)],[f96])).
% 0.13/0.40 fof(f322,plain,(
% 0.13/0.40 ![U]: (~ssList(U)|segmentP(U,nil))),
% 0.13/0.40 inference(pre_NNF_transformation,[status(thm)],[f57])).
% 0.13/0.40 fof(f323,plain,(
% 0.13/0.40 ![X0]: (~ssList(X0)|segmentP(X0,nil))),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f322])).
% 0.13/0.40 fof(f362,plain,(
% 0.13/0.40 equalelemsP(nil)),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f74])).
% 0.13/0.40 fof(f415,plain,(
% 0.13/0.40 (?[U]: (ssList(U)&(?[V]: (ssList(V)&(?[W]: (ssList(W)&(?[X]: (ssList(X)&(((nil=W&V=X)&U=W)&(~segmentP(V,U)|~equalelemsP(U)))))))))))),
% 0.13/0.40 inference(pre_NNF_transformation,[status(thm)],[f97])).
% 0.13/0.40 fof(f416,plain,(
% 0.13/0.40 (ssList(sK47_skl)&(ssList(sK48_skl)&(ssList(sK49_skl)&(ssList(sK50_skl)&(((nil=sK49_skl&sK48_skl=sK50_skl)&sK47_skl=sK49_skl)&(~segmentP(sK48_skl,sK47_skl)|~equalelemsP(sK47_skl)))))))),
% 0.13/0.40 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)],[f415])).
% 0.13/0.40 fof(f420,plain,(
% 0.13/0.40 ssList(sK50_skl)),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f416])).
% 0.13/0.40 fof(f421,plain,(
% 0.13/0.40 nil=sK49_skl),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f416])).
% 0.13/0.40 fof(f422,plain,(
% 0.13/0.40 sK48_skl=sK50_skl),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f416])).
% 0.13/0.40 fof(f423,plain,(
% 0.13/0.40 sK47_skl=sK49_skl),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f416])).
% 0.13/0.40 fof(f424,plain,(
% 0.13/0.40 ~segmentP(sK48_skl,sK47_skl)|~equalelemsP(sK47_skl)),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f416])).
% 0.13/0.40 fof(f425,definition,(
% 0.13/0.40 sQ0_spl <=> (segmentP(sK48_skl,sK47_skl))),
% 0.13/0.40 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.13/0.40 fof(f427,plain,(
% 0.13/0.40 ~segmentP(sK48_skl,sK47_skl)|sQ0_spl),
% 0.13/0.40 inference(component_clause,[status(thm)],[f425])).
% 0.13/0.40 fof(f428,definition,(
% 0.13/0.40 sQ1_spl <=> (equalelemsP(sK47_skl))),
% 0.13/0.40 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.13/0.40 fof(f430,plain,(
% 0.13/0.40 ~equalelemsP(sK47_skl)|sQ1_spl),
% 0.13/0.40 inference(component_clause,[status(thm)],[f428])).
% 0.13/0.40 fof(f431,plain,(
% 0.13/0.40 ~sQ0_spl|~sQ1_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f424,f425,f428])).
% 0.13/0.40 fof(f464,plain,(
% 0.13/0.40 equalelemsP(sK49_skl)),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f421,f362])).
% 0.13/0.40 fof(f466,plain,(
% 0.13/0.40 ~segmentP(sK50_skl,sK47_skl)|sQ0_spl),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f422,f427])).
% 0.13/0.40 fof(f467,plain,(
% 0.13/0.40 ~segmentP(sK50_skl,sK49_skl)|sQ0_spl),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f423,f466])).
% 0.13/0.40 fof(f470,plain,(
% 0.13/0.40 ![X0]: (~ssList(X0)|segmentP(X0,sK49_skl))),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f421,f323])).
% 0.13/0.40 fof(f471,plain,(
% 0.13/0.40 segmentP(sK50_skl,sK49_skl)),
% 0.13/0.40 inference(resolution,[status(thm)],[f470,f420])).
% 0.13/0.40 fof(f473,plain,(
% 0.13/0.40 $false|sQ0_spl),
% 0.13/0.40 inference(forward_subsumption_resolution,[status(thm)],[f471,f467])).
% 0.13/0.40 fof(f474,plain,(
% 0.13/0.40 sQ0_spl),
% 0.13/0.40 inference(contradiction_clause,[status(thm)],[f473])).
% 0.13/0.40 fof(f475,plain,(
% 0.13/0.40 ~equalelemsP(sK49_skl)|sQ1_spl),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f423,f430])).
% 0.13/0.40 fof(f476,plain,(
% 0.13/0.40 $false|sQ1_spl),
% 0.13/0.40 inference(forward_subsumption_resolution,[status(thm)],[f475,f464])).
% 0.13/0.40 fof(f477,plain,(
% 0.13/0.40 sQ1_spl),
% 0.13/0.40 inference(contradiction_clause,[status(thm)],[f476])).
% 0.13/0.40 fof(f478,plain,(
% 0.13/0.40 $false),
% 0.13/0.40 inference(sat_refutation,[status(thm)],[f431,f474,f477])).
% 0.13/0.40 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.43 % Elapsed time: 0.057573 seconds
% 0.13/0.43 % CPU time: 0.129125 seconds
% 0.13/0.43 % Total memory used: 65.449 MB
% 0.13/0.43 % Net memory used: 65.376 MB
%------------------------------------------------------------------------------