%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SWC352+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 : n020.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 02:42:14 PM UTC 2026
% Result : Theorem 0.14s 0.40s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC352+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 : n020.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 08:19:03 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.14/0.38 % Drodi V4.1.1
% 0.14/0.40 % Refutation found
% 0.14/0.40 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.14/0.40 % SZS output start CNFRefutation for theBenchmark
% 0.14/0.40 fof(f15,axiom,(
% 0.14/0.40 (! [U] :( ssList(U)=> (! [V] :( ssList(V)=> ( neq(U,V)<=> U != V ) ) )) )),
% 0.14/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f17,axiom,(
% 0.14/0.40 ssList(nil) ),
% 0.14/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f45,axiom,(
% 0.14/0.40 (! [U] :( ssList(U)=> frontsegP(U,nil) ) )),
% 0.14/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f96,conjecture,(
% 0.14/0.40 (! [U] :( ssList(U)=> (! [V] :( ssList(V)=> (! [W] :( ssList(W)=> (! [X] :( ssList(X)=> ( V != X| U != W| frontsegP(V,U)| ( nil != W& nil = X )| ( neq(X,nil)& ( ~ neq(W,nil)| ~ frontsegP(X,W) ) ) ) ) )) )) )) )),
% 0.14/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f97,negated_conjecture,(
% 0.14/0.40 ~((! [U] :( ssList(U)=> (! [V] :( ssList(V)=> (! [W] :( ssList(W)=> (! [X] :( ssList(X)=> ( V != X| U != W| frontsegP(V,U)| ( nil != W& nil = X )| ( neq(X,nil)& ( ~ neq(W,nil)| ~ frontsegP(X,W) ) ) ) ) )) )) )) ))),
% 0.14/0.40 inference(negated_conjecture,[status(cth)],[f96])).
% 0.14/0.40 fof(f217,plain,(
% 0.14/0.40 ![U]: (~ssList(U)|(![V]: (~ssList(V)|(neq(U,V)<=>~U=V))))),
% 0.14/0.40 inference(pre_NNF_transformation,[status(thm)],[f15])).
% 0.14/0.40 fof(f218,plain,(
% 0.14/0.40 ![U]: (~ssList(U)|(![V]: (~ssList(V)|((~neq(U,V)|~U=V)&(neq(U,V)|U=V)))))),
% 0.14/0.40 inference(NNF_transformation,[status(thm)],[f217])).
% 0.14/0.40 fof(f220,plain,(
% 0.14/0.40 ![X0,X1]: (~ssList(X0)|~ssList(X1)|neq(X0,X1)|X0=X1)),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f218])).
% 0.14/0.40 fof(f223,plain,(
% 0.14/0.40 ssList(nil)),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f17])).
% 0.14/0.40 fof(f294,plain,(
% 0.14/0.40 ![U]: (~ssList(U)|frontsegP(U,nil))),
% 0.14/0.40 inference(pre_NNF_transformation,[status(thm)],[f45])).
% 0.14/0.40 fof(f295,plain,(
% 0.14/0.40 ![X0]: (~ssList(X0)|frontsegP(X0,nil))),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f294])).
% 0.14/0.40 fof(f415,plain,(
% 0.14/0.40 (?[U]: (ssList(U)&(?[V]: (ssList(V)&(?[W]: (ssList(W)&(?[X]: (ssList(X)&((((V=X&U=W)&~frontsegP(V,U))&(nil=W|~nil=X))&(~neq(X,nil)|(neq(W,nil)&frontsegP(X,W))))))))))))),
% 0.14/0.40 inference(pre_NNF_transformation,[status(thm)],[f97])).
% 0.14/0.40 fof(f416,plain,(
% 0.14/0.40 (ssList(sK47_skl)&(ssList(sK48_skl)&(ssList(sK49_skl)&(ssList(sK50_skl)&((((sK48_skl=sK50_skl&sK47_skl=sK49_skl)&~frontsegP(sK48_skl,sK47_skl))&(nil=sK49_skl|~nil=sK50_skl))&(~neq(sK50_skl,nil)|(neq(sK49_skl,nil)&frontsegP(sK50_skl,sK49_skl))))))))),
% 0.14/0.40 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])).
% 0.14/0.40 fof(f420,plain,(
% 0.14/0.40 ssList(sK50_skl)),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f416])).
% 0.14/0.40 fof(f421,plain,(
% 0.14/0.40 sK48_skl=sK50_skl),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f416])).
% 0.14/0.40 fof(f422,plain,(
% 0.14/0.40 sK47_skl=sK49_skl),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f416])).
% 0.14/0.40 fof(f423,plain,(
% 0.14/0.40 ~frontsegP(sK48_skl,sK47_skl)),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f416])).
% 0.14/0.40 fof(f424,plain,(
% 0.14/0.40 nil=sK49_skl|~nil=sK50_skl),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f416])).
% 0.14/0.40 fof(f426,plain,(
% 0.14/0.40 ~neq(sK50_skl,nil)|frontsegP(sK50_skl,sK49_skl)),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f416])).
% 0.14/0.40 fof(f427,definition,(
% 0.14/0.40 sQ0_spl <=> (nil=sK49_skl)),
% 0.14/0.40 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.14/0.40 fof(f428,plain,(
% 0.14/0.40 nil=sK49_skl|~sQ0_spl),
% 0.14/0.40 inference(component_clause,[status(thm)],[f427])).
% 0.14/0.40 fof(f430,definition,(
% 0.14/0.40 sQ1_spl <=> (nil=sK50_skl)),
% 0.14/0.40 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.14/0.40 fof(f433,plain,(
% 0.14/0.40 sQ0_spl|~sQ1_spl),
% 0.14/0.40 inference(split_clause,[status(thm)],[f424,f427,f430])).
% 0.14/0.40 fof(f434,definition,(
% 0.14/0.40 sQ2_spl <=> (neq(sK50_skl,nil))),
% 0.14/0.40 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.14/0.40 fof(f441,definition,(
% 0.14/0.40 sQ4_spl <=> (frontsegP(sK50_skl,sK49_skl))),
% 0.14/0.40 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 0.14/0.40 fof(f442,plain,(
% 0.14/0.40 frontsegP(sK50_skl,sK49_skl)|~sQ4_spl),
% 0.14/0.40 inference(component_clause,[status(thm)],[f441])).
% 0.14/0.40 fof(f444,plain,(
% 0.14/0.40 ~sQ2_spl|sQ4_spl),
% 0.14/0.40 inference(split_clause,[status(thm)],[f426,f434,f441])).
% 0.14/0.41 fof(f478,plain,(
% 0.14/0.41 ~frontsegP(sK50_skl,sK47_skl)),
% 0.14/0.41 inference(forward_demodulation,[status(thm)],[f421,f423])).
% 0.14/0.41 fof(f479,plain,(
% 0.14/0.41 ~frontsegP(sK50_skl,sK49_skl)),
% 0.14/0.41 inference(forward_demodulation,[status(thm)],[f422,f478])).
% 0.14/0.41 fof(f483,plain,(
% 0.14/0.41 ![X0]: (~ssList(X0)|frontsegP(X0,sK49_skl)|~sQ0_spl)),
% 0.14/0.41 inference(forward_demodulation,[status(thm)],[f428,f295])).
% 0.14/0.41 fof(f484,plain,(
% 0.14/0.41 frontsegP(sK50_skl,sK49_skl)|~sQ0_spl),
% 0.14/0.41 inference(resolution,[status(thm)],[f483,f420])).
% 0.14/0.41 fof(f486,plain,(
% 0.14/0.41 $false|~sQ0_spl),
% 0.14/0.41 inference(forward_subsumption_resolution,[status(thm)],[f484,f479])).
% 0.14/0.41 fof(f487,plain,(
% 0.14/0.41 ~sQ0_spl),
% 0.14/0.41 inference(contradiction_clause,[status(thm)],[f486])).
% 0.14/0.41 fof(f495,plain,(
% 0.14/0.41 ![X0]: (~ssList(X0)|neq(sK50_skl,X0)|sK50_skl=X0)),
% 0.14/0.41 inference(resolution,[status(thm)],[f220,f420])).
% 0.14/0.41 fof(f692,plain,(
% 0.14/0.41 neq(sK50_skl,nil)|sK50_skl=nil),
% 0.14/0.41 inference(resolution,[status(thm)],[f495,f223])).
% 0.14/0.41 fof(f695,plain,(
% 0.14/0.41 sQ2_spl|sQ1_spl),
% 0.14/0.41 inference(split_clause,[status(thm)],[f692,f434,f430])).
% 0.14/0.41 fof(f707,plain,(
% 0.14/0.41 $false|~sQ4_spl),
% 0.14/0.41 inference(forward_subsumption_resolution,[status(thm)],[f442,f479])).
% 0.14/0.41 fof(f708,plain,(
% 0.14/0.41 ~sQ4_spl),
% 0.14/0.41 inference(contradiction_clause,[status(thm)],[f707])).
% 0.14/0.41 fof(f709,plain,(
% 0.14/0.41 $false),
% 0.14/0.41 inference(sat_refutation,[status(thm)],[f433,f444,f487,f695,f708])).
% 0.14/0.41 % SZS output end CNFRefutation for theBenchmark.p
% 0.14/0.44 % Elapsed time: 0.058505 seconds
% 0.14/0.44 % CPU time: 0.175810 seconds
% 0.14/0.44 % Total memory used: 103.685 MB
% 0.14/0.44 % Net memory used: 103.557 MB
%------------------------------------------------------------------------------