%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SWC103+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 : n007.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 02:41:35 PM UTC 2026
% Result : Theorem 0.15s 0.40s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWC103+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
% 0.11/0.37 % Computer : n007.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Mon Sep 21 07:53:52 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.15/0.38 % 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(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)| ( nil != W& nil = X )| ( neq(U,nil)& frontsegP(V,U) )| ( neq(X,nil)& ( ~ neq(W,nil)| ~ frontsegP(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)| ( nil != W& nil = X )| ( neq(U,nil)& frontsegP(V,U) )| ( neq(X,nil)& ( ~ neq(W,nil)| ~ frontsegP(X,W) ) ) ) ) )) )) )) ))),
% 0.15/0.40 inference(negated_conjecture,[status(cth)],[f96])).
% 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))&(nil=W|~nil=X))&(~neq(U,nil)|~frontsegP(V,U)))&(~neq(X,nil)|(neq(W,nil)&frontsegP(X,W))))))))))))),
% 0.15/0.40 inference(pre_NNF_transformation,[status(thm)],[f97])).
% 0.15/0.40 fof(f416,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))&(nil=sK49_skl|~nil=sK50_skl))&(~neq(sK47_skl,nil)|~frontsegP(sK48_skl,sK47_skl)))&(~neq(sK50_skl,nil)|(neq(sK49_skl,nil)&frontsegP(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)],[f415])).
% 0.15/0.40 fof(f421,plain,(
% 0.15/0.40 sK48_skl=sK50_skl),
% 0.15/0.40 inference(cnf_transformation,[status(thm)],[f416])).
% 0.15/0.40 fof(f422,plain,(
% 0.15/0.40 sK47_skl=sK49_skl),
% 0.15/0.40 inference(cnf_transformation,[status(thm)],[f416])).
% 0.15/0.40 fof(f423,plain,(
% 0.15/0.40 neq(sK48_skl,nil)),
% 0.15/0.40 inference(cnf_transformation,[status(thm)],[f416])).
% 0.15/0.40 fof(f425,plain,(
% 0.15/0.40 ~neq(sK47_skl,nil)|~frontsegP(sK48_skl,sK47_skl)),
% 0.15/0.40 inference(cnf_transformation,[status(thm)],[f416])).
% 0.15/0.40 fof(f426,plain,(
% 0.15/0.40 ~neq(sK50_skl,nil)|neq(sK49_skl,nil)),
% 0.15/0.40 inference(cnf_transformation,[status(thm)],[f416])).
% 0.15/0.40 fof(f427,plain,(
% 0.15/0.40 ~neq(sK50_skl,nil)|frontsegP(sK50_skl,sK49_skl)),
% 0.15/0.40 inference(cnf_transformation,[status(thm)],[f416])).
% 0.15/0.40 fof(f435,definition,(
% 0.15/0.40 sQ2_spl <=> (neq(sK47_skl,nil))),
% 0.15/0.40 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.15/0.40 fof(f437,plain,(
% 0.15/0.40 ~neq(sK47_skl,nil)|sQ2_spl),
% 0.15/0.40 inference(component_clause,[status(thm)],[f435])).
% 0.15/0.40 fof(f438,definition,(
% 0.15/0.40 sQ3_spl <=> (frontsegP(sK48_skl,sK47_skl))),
% 0.15/0.40 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.15/0.40 fof(f440,plain,(
% 0.15/0.40 ~frontsegP(sK48_skl,sK47_skl)|sQ3_spl),
% 0.15/0.40 inference(component_clause,[status(thm)],[f438])).
% 0.15/0.40 fof(f441,plain,(
% 0.15/0.40 ~sQ2_spl|~sQ3_spl),
% 0.15/0.40 inference(split_clause,[status(thm)],[f425,f435,f438])).
% 0.15/0.40 fof(f442,definition,(
% 0.15/0.40 sQ4_spl <=> (neq(sK50_skl,nil))),
% 0.15/0.40 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 0.15/0.40 fof(f444,plain,(
% 0.15/0.40 ~neq(sK50_skl,nil)|sQ4_spl),
% 0.15/0.40 inference(component_clause,[status(thm)],[f442])).
% 0.15/0.40 fof(f445,definition,(
% 0.15/0.40 sQ5_spl <=> (neq(sK49_skl,nil))),
% 0.15/0.40 introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition])).
% 0.15/0.40 fof(f446,plain,(
% 0.15/0.40 neq(sK49_skl,nil)|~sQ5_spl),
% 0.15/0.40 inference(component_clause,[status(thm)],[f445])).
% 0.15/0.40 fof(f448,plain,(
% 0.15/0.40 ~sQ4_spl|sQ5_spl),
% 0.15/0.40 inference(split_clause,[status(thm)],[f426,f442,f445])).
% 0.15/0.40 fof(f449,definition,(
% 0.15/0.40 sQ6_spl <=> (frontsegP(sK50_skl,sK49_skl))),
% 0.15/0.40 introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition])).
% 0.15/0.40 fof(f450,plain,(
% 0.15/0.40 frontsegP(sK50_skl,sK49_skl)|~sQ6_spl),
% 0.15/0.40 inference(component_clause,[status(thm)],[f449])).
% 0.15/0.40 fof(f452,plain,(
% 0.15/0.40 ~sQ4_spl|sQ6_spl),
% 0.15/0.40 inference(split_clause,[status(thm)],[f427,f442,f449])).
% 0.15/0.40 fof(f486,plain,(
% 0.15/0.40 neq(sK50_skl,nil)),
% 0.15/0.40 inference(forward_demodulation,[status(thm)],[f421,f423])).
% 0.15/0.40 fof(f491,plain,(
% 0.15/0.40 ~neq(sK49_skl,nil)|sQ2_spl),
% 0.15/0.40 inference(forward_demodulation,[status(thm)],[f422,f437])).
% 0.15/0.40 fof(f492,plain,(
% 0.15/0.40 $false|sQ2_spl|~sQ5_spl),
% 0.15/0.40 inference(forward_subsumption_resolution,[status(thm)],[f446,f491])).
% 0.15/0.41 fof(f493,plain,(
% 0.15/0.41 sQ2_spl|~sQ5_spl),
% 0.15/0.41 inference(contradiction_clause,[status(thm)],[f492])).
% 0.15/0.41 fof(f494,plain,(
% 0.15/0.41 ~frontsegP(sK50_skl,sK47_skl)|sQ3_spl),
% 0.15/0.41 inference(forward_demodulation,[status(thm)],[f421,f440])).
% 0.15/0.41 fof(f495,plain,(
% 0.15/0.41 ~frontsegP(sK50_skl,sK49_skl)|sQ3_spl),
% 0.15/0.41 inference(forward_demodulation,[status(thm)],[f422,f494])).
% 0.15/0.41 fof(f499,plain,(
% 0.15/0.41 $false|sQ4_spl),
% 0.15/0.41 inference(forward_subsumption_resolution,[status(thm)],[f444,f486])).
% 0.15/0.41 fof(f500,plain,(
% 0.15/0.41 sQ4_spl),
% 0.15/0.41 inference(contradiction_clause,[status(thm)],[f499])).
% 0.15/0.41 fof(f501,plain,(
% 0.15/0.41 $false|sQ3_spl|~sQ6_spl),
% 0.15/0.41 inference(forward_subsumption_resolution,[status(thm)],[f450,f495])).
% 0.15/0.41 fof(f502,plain,(
% 0.15/0.41 sQ3_spl|~sQ6_spl),
% 0.15/0.41 inference(contradiction_clause,[status(thm)],[f501])).
% 0.15/0.41 fof(f503,plain,(
% 0.15/0.41 $false),
% 0.15/0.41 inference(sat_refutation,[status(thm)],[f441,f448,f452,f493,f500,f502])).
% 0.15/0.41 % SZS output end CNFRefutation for theBenchmark.p
% 0.15/0.44 % Elapsed time: 0.060509 seconds
% 0.15/0.44 % CPU time: 0.165718 seconds
% 0.15/0.44 % Total memory used: 110.424 MB
% 0.15/0.44 % Net memory used: 110.298 MB
%------------------------------------------------------------------------------