%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SWC047+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 : n026.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 02:41:26 PM UTC 2026
% Result : Theorem 0.14s 0.39s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWC047+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.34 % Computer : n026.cluster.edu
% 0.08/0.34 % Model : x86_64 x86_64
% 0.08/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.34 % Memory : 8046.5625MB
% 0.08/0.34 % OS : Linux 6.8.0-71-generic
% 0.08/0.34 % CPULimit : 300
% 0.08/0.34 % WCLimit : 300
% 0.08/0.34 % DateTime : Mon Sep 21 07:54:07 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.08/0.36 % Drodi V4.1.1
% 0.14/0.39 % Refutation found
% 0.14/0.39 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.14/0.39 % SZS output start CNFRefutation for theBenchmark
% 0.14/0.39 fof(f49,axiom,(
% 0.14/0.39 (! [U] :( ssList(U)=> rearsegP(U,U) ) )),
% 0.14/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.39 fof(f96,conjecture,(
% 0.14/0.39 (! [U] :( ssList(U)=> (! [V] :( ssList(V)=> (! [W] :( ssList(W)=> (! [X] :( ssList(X)=> ( V != X| U != W| X != W| ( ( nil != V| nil = U )& ( ~ neq(V,nil)| (? [Y] :( ssList(Y)& neq(Y,nil)& rearsegP(V,Y)& rearsegP(U,Y) ) )) ) ) ) )) )) )) )),
% 0.14/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.39 fof(f97,negated_conjecture,(
% 0.14/0.39 ~((! [U] :( ssList(U)=> (! [V] :( ssList(V)=> (! [W] :( ssList(W)=> (! [X] :( ssList(X)=> ( V != X| U != W| X != W| ( ( nil != V| nil = U )& ( ~ neq(V,nil)| (? [Y] :( ssList(Y)& neq(Y,nil)& rearsegP(V,Y)& rearsegP(U,Y) ) )) ) ) ) )) )) )) ))),
% 0.14/0.39 inference(negated_conjecture,[status(cth)],[f96])).
% 0.14/0.39 fof(f304,plain,(
% 0.14/0.39 ![U]: (~ssList(U)|rearsegP(U,U))),
% 0.14/0.39 inference(pre_NNF_transformation,[status(thm)],[f49])).
% 0.14/0.39 fof(f305,plain,(
% 0.14/0.39 ![X0]: (~ssList(X0)|rearsegP(X0,X0))),
% 0.14/0.39 inference(cnf_transformation,[status(thm)],[f304])).
% 0.14/0.39 fof(f415,plain,(
% 0.14/0.39 (?[U]: (ssList(U)&(?[V]: (ssList(V)&(?[W]: (ssList(W)&(?[X]: (ssList(X)&(((V=X&U=W)&X=W)&((nil=V&~nil=U)|(neq(V,nil)&(![Y]: (((~ssList(Y)|~neq(Y,nil))|~rearsegP(V,Y))|~rearsegP(U,Y))))))))))))))),
% 0.14/0.39 inference(pre_NNF_transformation,[status(thm)],[f97])).
% 0.14/0.39 fof(f416,definition,(
% 0.14/0.39 ![U,V]: (sP0_prd(V,U)<=>(nil=V&~nil=U))),
% 0.14/0.39 introduced(definition,[new_symbols(definition,[sP0_prd])],[])).
% 0.14/0.39 fof(f417,plain,(
% 0.14/0.39 ?[U]: (ssList(U)&(?[V]: (ssList(V)&(?[W]: (ssList(W)&(?[X]: (ssList(X)&(((V=X&U=W)&X=W)&(sP0_prd(V,U)|(neq(V,nil)&(![Y]: (((~ssList(Y)|~neq(Y,nil))|~rearsegP(V,Y))|~rearsegP(U,Y)))))))))))))),
% 0.14/0.39 inference(formula_renaming,[status(thm)],[f415,f416])).
% 0.14/0.39 fof(f418,plain,(
% 0.14/0.39 (ssList(sK47_skl)&(ssList(sK48_skl)&(ssList(sK49_skl)&(ssList(sK50_skl)&(((sK48_skl=sK50_skl&sK47_skl=sK49_skl)&sK50_skl=sK49_skl)&(sP0_prd(sK48_skl,sK47_skl)|(neq(sK48_skl,nil)&(![Y]: (((~ssList(Y)|~neq(Y,nil))|~rearsegP(sK48_skl,Y))|~rearsegP(sK47_skl,Y))))))))))),
% 0.14/0.39 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])).
% 0.14/0.39 fof(f422,plain,(
% 0.14/0.39 ssList(sK50_skl)),
% 0.14/0.39 inference(cnf_transformation,[status(thm)],[f418])).
% 0.14/0.39 fof(f423,plain,(
% 0.14/0.39 sK48_skl=sK50_skl),
% 0.14/0.39 inference(cnf_transformation,[status(thm)],[f418])).
% 0.14/0.39 fof(f424,plain,(
% 0.14/0.39 sK47_skl=sK49_skl),
% 0.14/0.39 inference(cnf_transformation,[status(thm)],[f418])).
% 0.14/0.39 fof(f425,plain,(
% 0.14/0.39 sK50_skl=sK49_skl),
% 0.14/0.39 inference(cnf_transformation,[status(thm)],[f418])).
% 0.14/0.39 fof(f426,plain,(
% 0.14/0.39 sP0_prd(sK48_skl,sK47_skl)|neq(sK48_skl,nil)),
% 0.14/0.39 inference(cnf_transformation,[status(thm)],[f418])).
% 0.14/0.39 fof(f427,plain,(
% 0.14/0.39 ![X0]: (sP0_prd(sK48_skl,sK47_skl)|~ssList(X0)|~neq(X0,nil)|~rearsegP(sK48_skl,X0)|~rearsegP(sK47_skl,X0))),
% 0.14/0.39 inference(cnf_transformation,[status(thm)],[f418])).
% 0.14/0.39 fof(f428,plain,(
% 0.14/0.39 ![U,V]: ((~sP0_prd(V,U)|(nil=V&~nil=U))&(sP0_prd(V,U)|(~nil=V|nil=U)))),
% 0.14/0.39 inference(NNF_transformation,[status(thm)],[f416])).
% 0.14/0.39 fof(f429,plain,(
% 0.14/0.39 (![U,V]: (~sP0_prd(V,U)|(nil=V&~nil=U)))&(![U,V]: (sP0_prd(V,U)|(~nil=V|nil=U)))),
% 0.14/0.39 inference(miniscoping,[status(thm)],[f428])).
% 0.14/0.39 fof(f430,plain,(
% 0.14/0.39 ![X0,X1]: (~sP0_prd(X0,X1)|nil=X0)),
% 0.14/0.39 inference(cnf_transformation,[status(thm)],[f429])).
% 0.14/0.39 fof(f431,plain,(
% 0.14/0.39 ![X0,X1]: (~sP0_prd(X0,X1)|~nil=X1)),
% 0.14/0.39 inference(cnf_transformation,[status(thm)],[f429])).
% 0.14/0.39 fof(f433,definition,(
% 0.14/0.39 sQ0_spl <=> (sP0_prd(sK48_skl,sK47_skl))),
% 0.14/0.39 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.14/0.39 fof(f434,plain,(
% 0.14/0.39 sP0_prd(sK48_skl,sK47_skl)|~sQ0_spl),
% 0.14/0.39 inference(component_clause,[status(thm)],[f433])).
% 0.14/0.39 fof(f436,definition,(
% 0.14/0.39 sQ1_spl <=> (neq(sK48_skl,nil))),
% 0.14/0.39 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.14/0.39 fof(f437,plain,(
% 0.14/0.39 neq(sK48_skl,nil)|~sQ1_spl),
% 0.14/0.39 inference(component_clause,[status(thm)],[f436])).
% 0.14/0.39 fof(f439,plain,(
% 0.14/0.39 sQ0_spl|sQ1_spl),
% 0.14/0.39 inference(split_clause,[status(thm)],[f426,f433,f436])).
% 0.14/0.39 fof(f440,definition,(
% 0.14/0.39 ![X0]: (sQ2_spl <=> (~ssList(X0)|~neq(X0,nil)|~rearsegP(sK48_skl,X0)|~rearsegP(sK47_skl,X0)))),
% 0.14/0.39 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.14/0.39 fof(f441,plain,(
% 0.14/0.39 ![X0]: (~ssList(X0)|~neq(X0,nil)|~rearsegP(sK48_skl,X0)|~rearsegP(sK47_skl,X0)|~sQ2_spl)),
% 0.14/0.39 inference(component_clause,[status(thm)],[f440])).
% 0.14/0.39 fof(f443,plain,(
% 0.14/0.39 sQ0_spl|sQ2_spl),
% 0.14/0.39 inference(split_clause,[status(thm)],[f427,f433,f440])).
% 0.14/0.39 fof(f474,plain,(
% 0.14/0.39 ![X0]: (~sP0_prd(X0,nil))),
% 0.14/0.39 inference(destructive_equality_resolution,[status(thm)],[f431])).
% 0.14/0.39 fof(f478,plain,(
% 0.14/0.39 sK47_skl=sK50_skl),
% 0.14/0.39 inference(backward_demodulation,[status(thm)],[f425,f424])).
% 0.14/0.39 fof(f480,plain,(
% 0.14/0.39 sP0_prd(sK50_skl,sK47_skl)|~sQ0_spl),
% 0.14/0.39 inference(forward_demodulation,[status(thm)],[f423,f434])).
% 0.14/0.39 fof(f481,plain,(
% 0.14/0.39 sP0_prd(sK50_skl,sK50_skl)|~sQ0_spl),
% 0.14/0.39 inference(forward_demodulation,[status(thm)],[f478,f480])).
% 0.14/0.39 fof(f483,plain,(
% 0.14/0.39 rearsegP(sK50_skl,sK50_skl)),
% 0.14/0.39 inference(resolution,[status(thm)],[f305,f422])).
% 0.14/0.39 fof(f490,plain,(
% 0.14/0.39 nil=sK50_skl|~sQ0_spl),
% 0.14/0.39 inference(resolution,[status(thm)],[f430,f481])).
% 0.14/0.39 fof(f501,plain,(
% 0.14/0.39 ![X0]: (~sP0_prd(X0,sK50_skl)|~sQ0_spl)),
% 0.14/0.39 inference(backward_demodulation,[status(thm)],[f490,f474])).
% 0.14/0.39 fof(f506,plain,(
% 0.14/0.39 $false|~sQ0_spl),
% 0.14/0.39 inference(backward_subsumption_resolution,[status(thm)],[f481,f501])).
% 0.14/0.39 fof(f508,plain,(
% 0.14/0.39 ~sQ0_spl),
% 0.14/0.39 inference(contradiction_clause,[status(thm)],[f506])).
% 0.14/0.39 fof(f509,plain,(
% 0.14/0.39 neq(sK50_skl,nil)|~sQ1_spl),
% 0.14/0.39 inference(forward_demodulation,[status(thm)],[f423,f437])).
% 0.14/0.39 fof(f510,plain,(
% 0.14/0.39 ![X0]: (~ssList(X0)|~neq(X0,nil)|~rearsegP(sK50_skl,X0)|~rearsegP(sK47_skl,X0)|~sQ2_spl)),
% 0.14/0.39 inference(forward_demodulation,[status(thm)],[f423,f441])).
% 0.14/0.39 fof(f511,plain,(
% 0.14/0.39 ![X0]: (~ssList(X0)|~neq(X0,nil)|~rearsegP(sK50_skl,X0)|~rearsegP(sK50_skl,X0)|~sQ2_spl)),
% 0.14/0.39 inference(forward_demodulation,[status(thm)],[f478,f510])).
% 0.14/0.39 fof(f512,plain,(
% 0.14/0.39 ![X0]: (~ssList(X0)|~neq(X0,nil)|~rearsegP(sK50_skl,X0)|~sQ2_spl)),
% 0.14/0.39 inference(duplicate_literals_removal,[status(thm)],[f511])).
% 0.14/0.39 fof(f525,definition,(
% 0.14/0.39 sQ4_spl <=> (ssList(sK50_skl))),
% 0.14/0.39 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 0.14/0.39 fof(f527,plain,(
% 0.14/0.39 ~ssList(sK50_skl)|sQ4_spl),
% 0.14/0.39 inference(component_clause,[status(thm)],[f525])).
% 0.14/0.39 fof(f594,plain,(
% 0.14/0.39 ~ssList(sK50_skl)|~rearsegP(sK50_skl,sK50_skl)|~sQ2_spl|~sQ1_spl),
% 0.14/0.39 inference(resolution,[status(thm)],[f512,f509])).
% 0.14/0.39 fof(f596,definition,(
% 0.14/0.39 sQ15_spl <=> (rearsegP(sK50_skl,sK50_skl))),
% 0.14/0.39 introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition])).
% 0.14/0.39 fof(f598,plain,(
% 0.14/0.39 ~rearsegP(sK50_skl,sK50_skl)|sQ15_spl),
% 0.14/0.39 inference(component_clause,[status(thm)],[f596])).
% 0.14/0.39 fof(f599,plain,(
% 0.14/0.39 ~sQ4_spl|~sQ15_spl|~sQ2_spl|~sQ1_spl),
% 0.14/0.39 inference(split_clause,[status(thm)],[f594,f525,f596,f440,f436])).
% 0.14/0.39 fof(f600,plain,(
% 0.14/0.39 $false|sQ4_spl),
% 0.14/0.39 inference(forward_subsumption_resolution,[status(thm)],[f527,f422])).
% 0.14/0.39 fof(f601,plain,(
% 0.14/0.39 sQ4_spl),
% 0.14/0.39 inference(contradiction_clause,[status(thm)],[f600])).
% 0.14/0.39 fof(f602,plain,(
% 0.14/0.39 $false|sQ15_spl),
% 0.14/0.39 inference(forward_subsumption_resolution,[status(thm)],[f598,f483])).
% 0.14/0.39 fof(f603,plain,(
% 0.14/0.39 sQ15_spl),
% 0.14/0.39 inference(contradiction_clause,[status(thm)],[f602])).
% 0.14/0.39 fof(f604,plain,(
% 0.14/0.39 $false),
% 0.14/0.39 inference(sat_refutation,[status(thm)],[f439,f443,f508,f599,f601,f603])).
% 0.14/0.39 % SZS output end CNFRefutation for theBenchmark.p
% 0.14/0.41 % Elapsed time: 0.059136 seconds
% 0.14/0.41 % CPU time: 0.169864 seconds
% 0.14/0.41 % Total memory used: 110.577 MB
% 0.14/0.41 % Net memory used: 110.420 MB
%------------------------------------------------------------------------------