%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SWC367+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 : n018.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 02:42:17 PM UTC 2026
% Result : Theorem 0.13s 0.58s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWC367+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
% 0.10/0.54 % Computer : n018.cluster.edu
% 0.10/0.54 % Model : x86_64 x86_64
% 0.10/0.54 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.54 % Memory : 8046.5625MB
% 0.10/0.54 % OS : Linux 6.8.0-71-generic
% 0.10/0.54 % CPULimit : 300
% 0.10/0.54 % WCLimit : 300
% 0.10/0.54 % DateTime : Mon Sep 21 08:20:59 UTC 2026
% 0.10/0.54 % CPUTime :
% 0.10/0.56 % Drodi V4.1.1
% 0.13/0.58 % Refutation found
% 0.13/0.58 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.13/0.58 % SZS output start CNFRefutation for theBenchmark
% 0.13/0.58 fof(f49,axiom,(
% 0.13/0.58 (! [U] :( ssList(U)=> rearsegP(U,U) ) )),
% 0.13/0.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.58 fof(f96,conjecture,(
% 0.13/0.58 (! [U] :( ssList(U)=> (! [V] :( ssList(V)=> (! [W] :( ssList(W)=> (! [X] :( ssList(X)=> ( V != X| U != W| rearsegP(V,U)| ( ( nil != X| nil != W )& ( ~ neq(W,nil)| ~ rearsegP(X,W) ) ) ) ) )) )) )) )),
% 0.13/0.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.58 fof(f97,negated_conjecture,(
% 0.13/0.58 ~((! [U] :( ssList(U)=> (! [V] :( ssList(V)=> (! [W] :( ssList(W)=> (! [X] :( ssList(X)=> ( V != X| U != W| rearsegP(V,U)| ( ( nil != X| nil != W )& ( ~ neq(W,nil)| ~ rearsegP(X,W) ) ) ) ) )) )) )) ))),
% 0.13/0.58 inference(negated_conjecture,[status(cth)],[f96])).
% 0.13/0.58 fof(f304,plain,(
% 0.13/0.58 ![U]: (~ssList(U)|rearsegP(U,U))),
% 0.13/0.58 inference(pre_NNF_transformation,[status(thm)],[f49])).
% 0.13/0.58 fof(f305,plain,(
% 0.13/0.58 ![X0]: (~ssList(X0)|rearsegP(X0,X0))),
% 0.13/0.58 inference(cnf_transformation,[status(thm)],[f304])).
% 0.13/0.58 fof(f415,plain,(
% 0.13/0.58 (?[U]: (ssList(U)&(?[V]: (ssList(V)&(?[W]: (ssList(W)&(?[X]: (ssList(X)&(((V=X&U=W)&~rearsegP(V,U))&((nil=X&nil=W)|(neq(W,nil)&rearsegP(X,W))))))))))))),
% 0.13/0.58 inference(pre_NNF_transformation,[status(thm)],[f97])).
% 0.13/0.58 fof(f416,definition,(
% 0.13/0.58 ![W,X]: (sP0_prd(X,W)<=>(nil=X&nil=W))),
% 0.13/0.58 introduced(definition,[new_symbols(definition,[sP0_prd])],[])).
% 0.13/0.58 fof(f417,plain,(
% 0.13/0.58 ?[U]: (ssList(U)&(?[V]: (ssList(V)&(?[W]: (ssList(W)&(?[X]: (ssList(X)&(((V=X&U=W)&~rearsegP(V,U))&(sP0_prd(X,W)|(neq(W,nil)&rearsegP(X,W)))))))))))),
% 0.13/0.58 inference(formula_renaming,[status(thm)],[f415,f416])).
% 0.13/0.58 fof(f418,plain,(
% 0.13/0.58 (ssList(sK47_skl)&(ssList(sK48_skl)&(ssList(sK49_skl)&(ssList(sK50_skl)&(((sK48_skl=sK50_skl&sK47_skl=sK49_skl)&~rearsegP(sK48_skl,sK47_skl))&(sP0_prd(sK50_skl,sK49_skl)|(neq(sK49_skl,nil)&rearsegP(sK50_skl,sK49_skl))))))))),
% 0.13/0.58 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])).
% 0.13/0.58 fof(f422,plain,(
% 0.13/0.58 ssList(sK50_skl)),
% 0.13/0.58 inference(cnf_transformation,[status(thm)],[f418])).
% 0.13/0.58 fof(f423,plain,(
% 0.13/0.58 sK48_skl=sK50_skl),
% 0.13/0.58 inference(cnf_transformation,[status(thm)],[f418])).
% 0.13/0.58 fof(f424,plain,(
% 0.13/0.58 sK47_skl=sK49_skl),
% 0.13/0.58 inference(cnf_transformation,[status(thm)],[f418])).
% 0.13/0.58 fof(f425,plain,(
% 0.13/0.58 ~rearsegP(sK48_skl,sK47_skl)),
% 0.13/0.58 inference(cnf_transformation,[status(thm)],[f418])).
% 0.13/0.58 fof(f427,plain,(
% 0.13/0.58 sP0_prd(sK50_skl,sK49_skl)|rearsegP(sK50_skl,sK49_skl)),
% 0.13/0.58 inference(cnf_transformation,[status(thm)],[f418])).
% 0.13/0.58 fof(f428,plain,(
% 0.13/0.58 ![W,X]: ((~sP0_prd(X,W)|(nil=X&nil=W))&(sP0_prd(X,W)|(~nil=X|~nil=W)))),
% 0.13/0.58 inference(NNF_transformation,[status(thm)],[f416])).
% 0.13/0.58 fof(f429,plain,(
% 0.13/0.58 (![W,X]: (~sP0_prd(X,W)|(nil=X&nil=W)))&(![W,X]: (sP0_prd(X,W)|(~nil=X|~nil=W)))),
% 0.13/0.58 inference(miniscoping,[status(thm)],[f428])).
% 0.13/0.58 fof(f430,plain,(
% 0.13/0.58 ![X0,X1]: (~sP0_prd(X0,X1)|nil=X0)),
% 0.13/0.58 inference(cnf_transformation,[status(thm)],[f429])).
% 0.13/0.58 fof(f431,plain,(
% 0.13/0.58 ![X0,X1]: (~sP0_prd(X0,X1)|nil=X1)),
% 0.13/0.58 inference(cnf_transformation,[status(thm)],[f429])).
% 0.13/0.58 fof(f433,definition,(
% 0.13/0.58 sQ0_spl <=> (sP0_prd(sK50_skl,sK49_skl))),
% 0.13/0.58 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.13/0.58 fof(f434,plain,(
% 0.13/0.58 sP0_prd(sK50_skl,sK49_skl)|~sQ0_spl),
% 0.13/0.58 inference(component_clause,[status(thm)],[f433])).
% 0.13/0.58 fof(f440,definition,(
% 0.13/0.58 sQ2_spl <=> (rearsegP(sK50_skl,sK49_skl))),
% 0.13/0.58 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.13/0.58 fof(f441,plain,(
% 0.13/0.58 rearsegP(sK50_skl,sK49_skl)|~sQ2_spl),
% 0.13/0.58 inference(component_clause,[status(thm)],[f440])).
% 0.13/0.58 fof(f443,plain,(
% 0.13/0.58 sQ0_spl|sQ2_spl),
% 0.13/0.58 inference(split_clause,[status(thm)],[f427,f433,f440])).
% 0.13/0.58 fof(f477,plain,(
% 0.13/0.58 ~rearsegP(sK50_skl,sK47_skl)),
% 0.13/0.58 inference(forward_demodulation,[status(thm)],[f423,f425])).
% 0.13/0.58 fof(f478,plain,(
% 0.13/0.58 ~rearsegP(sK50_skl,sK49_skl)),
% 0.13/0.58 inference(forward_demodulation,[status(thm)],[f424,f477])).
% 0.13/0.58 fof(f480,plain,(
% 0.13/0.58 rearsegP(sK50_skl,sK50_skl)),
% 0.13/0.58 inference(resolution,[status(thm)],[f305,f422])).
% 0.13/0.58 fof(f489,plain,(
% 0.13/0.58 nil=sK50_skl|~sQ0_spl),
% 0.13/0.58 inference(resolution,[status(thm)],[f430,f434])).
% 0.13/0.58 fof(f505,plain,(
% 0.13/0.58 ![X0,X1]: (~sP0_prd(X0,X1)|sK50_skl=X1|~sQ0_spl)),
% 0.13/0.58 inference(forward_demodulation,[status(thm)],[f489,f431])).
% 0.13/0.58 fof(f506,plain,(
% 0.13/0.58 sK50_skl=sK49_skl|~sQ0_spl),
% 0.13/0.58 inference(resolution,[status(thm)],[f505,f434])).
% 0.13/0.58 fof(f510,plain,(
% 0.13/0.58 ~rearsegP(sK50_skl,sK50_skl)|~sQ0_spl),
% 0.13/0.58 inference(backward_demodulation,[status(thm)],[f506,f478])).
% 0.13/0.58 fof(f515,plain,(
% 0.13/0.58 $false|~sQ0_spl),
% 0.13/0.58 inference(forward_subsumption_resolution,[status(thm)],[f510,f480])).
% 0.13/0.58 fof(f516,plain,(
% 0.13/0.58 ~sQ0_spl),
% 0.13/0.58 inference(contradiction_clause,[status(thm)],[f515])).
% 0.13/0.58 fof(f553,plain,(
% 0.13/0.58 $false|~sQ2_spl),
% 0.13/0.58 inference(forward_subsumption_resolution,[status(thm)],[f478,f441])).
% 0.13/0.58 fof(f554,plain,(
% 0.13/0.58 ~sQ2_spl),
% 0.13/0.58 inference(contradiction_clause,[status(thm)],[f553])).
% 0.13/0.58 fof(f555,plain,(
% 0.13/0.58 $false),
% 0.13/0.58 inference(sat_refutation,[status(thm)],[f443,f516,f554])).
% 0.13/0.58 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.61 % Elapsed time: 0.054433 seconds
% 0.13/0.61 % CPU time: 0.159847 seconds
% 0.13/0.61 % Total memory used: 103.559 MB
% 0.13/0.61 % Net memory used: 103.425 MB
%------------------------------------------------------------------------------