%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SWC082+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 02:41:32 PM UTC 2026
% Result : Theorem 0.17s 0.51s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SWC082+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.06 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.17/0.45 % Computer : n020.cluster.edu
% 0.17/0.45 % Model : x86_64 x86_64
% 0.17/0.45 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.45 % Memory : 8046.5625MB
% 0.17/0.45 % OS : Linux 6.8.0-71-generic
% 0.17/0.45 % CPULimit : 300
% 0.17/0.45 % WCLimit : 300
% 0.17/0.45 % DateTime : Mon Sep 21 07:55:18 UTC 2026
% 0.17/0.45 % CPUTime :
% 0.17/0.50 % Drodi V4.1.1
% 0.17/0.51 % Refutation found
% 0.17/0.51 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.17/0.51 % SZS output start CNFRefutation for theBenchmark
% 0.17/0.51 fof(f96,conjecture,(
% 0.17/0.51 (! [U] :( ssList(U)=> (! [V] :( ssList(V)=> (! [W] :( ssList(W)=> (! [X] :( ssList(X)=> ( V != X| U != W| ~ neq(V,nil)| (? [Y] :( ssList(Y)& neq(Y,nil)& segmentP(V,Y)& segmentP(U,Y) ))| ( nil != W& nil = X )| ( (! [Z] :( ssList(Z)=> ( ~ neq(Z,nil)| ~ segmentP(X,Z)| ~ segmentP(W,Z) ) ))& neq(X,nil) ) ) ) )) )) )) )),
% 0.17/0.51 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.17/0.51 fof(f97,negated_conjecture,(
% 0.17/0.51 ~((! [U] :( ssList(U)=> (! [V] :( ssList(V)=> (! [W] :( ssList(W)=> (! [X] :( ssList(X)=> ( V != X| U != W| ~ neq(V,nil)| (? [Y] :( ssList(Y)& neq(Y,nil)& segmentP(V,Y)& segmentP(U,Y) ))| ( nil != W& nil = X )| ( (! [Z] :( ssList(Z)=> ( ~ neq(Z,nil)| ~ segmentP(X,Z)| ~ segmentP(W,Z) ) ))& neq(X,nil) ) ) ) )) )) )) ))),
% 0.17/0.51 inference(negated_conjecture,[status(cth)],[f96])).
% 0.17/0.51 fof(f415,plain,(
% 0.17/0.51 (?[U]: (ssList(U)&(?[V]: (ssList(V)&(?[W]: (ssList(W)&(?[X]: (ssList(X)&(((((V=X&U=W)&neq(V,nil))&(![Y]: (((~ssList(Y)|~neq(Y,nil))|~segmentP(V,Y))|~segmentP(U,Y))))&(nil=W|~nil=X))&((?[Z]: (ssList(Z)&((neq(Z,nil)&segmentP(X,Z))&segmentP(W,Z))))|~neq(X,nil)))))))))))),
% 0.17/0.51 inference(pre_NNF_transformation,[status(thm)],[f97])).
% 0.17/0.51 fof(f416,plain,(
% 0.17/0.51 (ssList(sK47_skl)&(ssList(sK48_skl)&(ssList(sK49_skl)&(ssList(sK50_skl)&(((((sK48_skl=sK50_skl&sK47_skl=sK49_skl)&neq(sK48_skl,nil))&(![Y]: (((~ssList(Y)|~neq(Y,nil))|~segmentP(sK48_skl,Y))|~segmentP(sK47_skl,Y))))&(nil=sK49_skl|~nil=sK50_skl))&((ssList(sK51_skl)&((neq(sK51_skl,nil)&segmentP(sK50_skl,sK51_skl))&segmentP(sK49_skl,sK51_skl)))|~neq(sK50_skl,nil)))))))),
% 0.17/0.51 inference(skolemize,[status(esa),new_symbols(skolem,[sK47_skl,sK48_skl,sK49_skl,sK50_skl,sK51_skl]),skolemize(U,sK47_skl),skolemize(V,sK48_skl),skolemize(W,sK49_skl),skolemize(X,sK50_skl),skolemize(Z,sK51_skl)],[f415])).
% 0.17/0.51 fof(f421,plain,(
% 0.17/0.51 sK48_skl=sK50_skl),
% 0.17/0.51 inference(cnf_transformation,[status(thm)],[f416])).
% 0.17/0.51 fof(f422,plain,(
% 0.17/0.51 sK47_skl=sK49_skl),
% 0.17/0.51 inference(cnf_transformation,[status(thm)],[f416])).
% 0.17/0.51 fof(f423,plain,(
% 0.17/0.51 neq(sK48_skl,nil)),
% 0.17/0.51 inference(cnf_transformation,[status(thm)],[f416])).
% 0.17/0.51 fof(f424,plain,(
% 0.17/0.51 ![X0]: (~ssList(X0)|~neq(X0,nil)|~segmentP(sK48_skl,X0)|~segmentP(sK47_skl,X0))),
% 0.17/0.51 inference(cnf_transformation,[status(thm)],[f416])).
% 0.17/0.51 fof(f426,plain,(
% 0.17/0.51 ssList(sK51_skl)|~neq(sK50_skl,nil)),
% 0.17/0.51 inference(cnf_transformation,[status(thm)],[f416])).
% 0.17/0.51 fof(f427,plain,(
% 0.17/0.51 neq(sK51_skl,nil)|~neq(sK50_skl,nil)),
% 0.17/0.51 inference(cnf_transformation,[status(thm)],[f416])).
% 0.17/0.51 fof(f428,plain,(
% 0.17/0.51 segmentP(sK50_skl,sK51_skl)|~neq(sK50_skl,nil)),
% 0.17/0.51 inference(cnf_transformation,[status(thm)],[f416])).
% 0.17/0.51 fof(f429,plain,(
% 0.17/0.51 segmentP(sK49_skl,sK51_skl)|~neq(sK50_skl,nil)),
% 0.17/0.51 inference(cnf_transformation,[status(thm)],[f416])).
% 0.17/0.51 fof(f437,definition,(
% 0.17/0.51 sQ2_spl <=> (ssList(sK51_skl))),
% 0.17/0.51 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.17/0.51 fof(f440,definition,(
% 0.17/0.51 sQ3_spl <=> (neq(sK50_skl,nil))),
% 0.17/0.51 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.17/0.51 fof(f442,plain,(
% 0.17/0.51 ~neq(sK50_skl,nil)|sQ3_spl),
% 0.17/0.51 inference(component_clause,[status(thm)],[f440])).
% 0.17/0.51 fof(f443,plain,(
% 0.17/0.51 sQ2_spl|~sQ3_spl),
% 0.17/0.51 inference(split_clause,[status(thm)],[f426,f437,f440])).
% 0.17/0.51 fof(f444,definition,(
% 0.17/0.51 sQ4_spl <=> (neq(sK51_skl,nil))),
% 0.17/0.51 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 0.17/0.51 fof(f445,plain,(
% 0.17/0.51 neq(sK51_skl,nil)|~sQ4_spl),
% 0.17/0.51 inference(component_clause,[status(thm)],[f444])).
% 0.17/0.51 fof(f447,plain,(
% 0.17/0.51 sQ4_spl|~sQ3_spl),
% 0.17/0.51 inference(split_clause,[status(thm)],[f427,f444,f440])).
% 0.17/0.51 fof(f448,definition,(
% 0.17/0.51 sQ5_spl <=> (segmentP(sK50_skl,sK51_skl))),
% 0.17/0.51 introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition])).
% 0.17/0.51 fof(f451,plain,(
% 0.17/0.51 sQ5_spl|~sQ3_spl),
% 0.17/0.51 inference(split_clause,[status(thm)],[f428,f448,f440])).
% 0.17/0.51 fof(f452,definition,(
% 0.17/0.51 sQ6_spl <=> (segmentP(sK49_skl,sK51_skl))),
% 0.17/0.51 introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition])).
% 0.17/0.51 fof(f455,plain,(
% 0.17/0.51 sQ6_spl|~sQ3_spl),
% 0.17/0.51 inference(split_clause,[status(thm)],[f429,f452,f440])).
% 0.17/0.51 fof(f489,plain,(
% 0.17/0.51 neq(sK50_skl,nil)),
% 0.17/0.51 inference(forward_demodulation,[status(thm)],[f421,f423])).
% 0.17/0.51 fof(f498,plain,(
% 0.17/0.51 ![X0]: (~ssList(X0)|~neq(X0,nil)|~segmentP(sK50_skl,X0)|~segmentP(sK47_skl,X0))),
% 0.17/0.51 inference(forward_demodulation,[status(thm)],[f421,f424])).
% 0.17/0.51 fof(f499,plain,(
% 0.17/0.51 ![X0]: (~ssList(X0)|~neq(X0,nil)|~segmentP(sK50_skl,X0)|~segmentP(sK49_skl,X0))),
% 0.17/0.51 inference(forward_demodulation,[status(thm)],[f422,f498])).
% 0.17/0.51 fof(f501,plain,(
% 0.17/0.51 ~ssList(sK51_skl)|~segmentP(sK50_skl,sK51_skl)|~segmentP(sK49_skl,sK51_skl)|~sQ4_spl),
% 0.17/0.51 inference(resolution,[status(thm)],[f499,f445])).
% 0.17/0.51 fof(f512,plain,(
% 0.17/0.51 ~sQ2_spl|~sQ5_spl|~sQ6_spl|~sQ4_spl),
% 0.17/0.51 inference(split_clause,[status(thm)],[f501,f437,f448,f452,f444])).
% 0.17/0.51 fof(f517,plain,(
% 0.17/0.51 $false|sQ3_spl),
% 0.17/0.51 inference(forward_subsumption_resolution,[status(thm)],[f442,f489])).
% 0.17/0.51 fof(f518,plain,(
% 0.17/0.51 sQ3_spl),
% 0.17/0.51 inference(contradiction_clause,[status(thm)],[f517])).
% 0.17/0.51 fof(f519,plain,(
% 0.17/0.51 $false),
% 0.17/0.51 inference(sat_refutation,[status(thm)],[f443,f447,f451,f455,f512,f518])).
% 0.17/0.51 % SZS output end CNFRefutation for theBenchmark.p
% 0.27/0.58 % Elapsed time: 0.115016 seconds
% 0.27/0.58 % CPU time: 0.117328 seconds
% 0.27/0.58 % Total memory used: 6.962 MB
% 0.27/0.58 % Net memory used: 6.956 MB
%------------------------------------------------------------------------------