%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SWC333+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 : n019.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 02:42:11 PM UTC 2026
% Result : Theorem 0.18s 0.49s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SWC333+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.06 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.44 % Computer : n019.cluster.edu
% 0.18/0.44 % Model : x86_64 x86_64
% 0.18/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.44 % Memory : 8046.5625MB
% 0.18/0.44 % OS : Linux 6.8.0-71-generic
% 0.18/0.44 % CPULimit : 300
% 0.18/0.44 % WCLimit : 300
% 0.18/0.44 % DateTime : Mon Sep 21 08:16:49 UTC 2026
% 0.18/0.45 % CPUTime :
% 0.18/0.47 % Drodi V4.1.1
% 0.18/0.49 % Refutation found
% 0.18/0.49 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.18/0.49 % SZS output start CNFRefutation for theBenchmark
% 0.18/0.49 fof(f96,conjecture,(
% 0.18/0.49 (! [U] :( ssList(U)=> (! [V] :( ssList(V)=> (! [W] :( ssList(W)=> (! [X] :( ssList(X)=> ( V != X| U != W| ~ segmentP(X,W)| ~ totalorderedP(W)| (? [Y] :( ssList(Y)& neq(W,Y)& segmentP(X,Y)& segmentP(Y,W)& totalorderedP(Y) ))| ( (! [Z] :( ssList(Z)=> ( ~ neq(U,Z)| ~ segmentP(V,Z)| ~ segmentP(Z,U)| ~ totalorderedP(Z) ) ))& segmentP(V,U)& totalorderedP(U) ) ) ) )) )) )) )),
% 0.18/0.49 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.18/0.49 fof(f97,negated_conjecture,(
% 0.18/0.49 ~((! [U] :( ssList(U)=> (! [V] :( ssList(V)=> (! [W] :( ssList(W)=> (! [X] :( ssList(X)=> ( V != X| U != W| ~ segmentP(X,W)| ~ totalorderedP(W)| (? [Y] :( ssList(Y)& neq(W,Y)& segmentP(X,Y)& segmentP(Y,W)& totalorderedP(Y) ))| ( (! [Z] :( ssList(Z)=> ( ~ neq(U,Z)| ~ segmentP(V,Z)| ~ segmentP(Z,U)| ~ totalorderedP(Z) ) ))& segmentP(V,U)& totalorderedP(U) ) ) ) )) )) )) ))),
% 0.18/0.49 inference(negated_conjecture,[status(cth)],[f96])).
% 0.18/0.49 fof(f415,plain,(
% 0.18/0.49 (?[U]: (ssList(U)&(?[V]: (ssList(V)&(?[W]: (ssList(W)&(?[X]: (ssList(X)&(((((V=X&U=W)&segmentP(X,W))&totalorderedP(W))&(![Y]: ((((~ssList(Y)|~neq(W,Y))|~segmentP(X,Y))|~segmentP(Y,W))|~totalorderedP(Y))))&(((?[Z]: (ssList(Z)&(((neq(U,Z)&segmentP(V,Z))&segmentP(Z,U))&totalorderedP(Z))))|~segmentP(V,U))|~totalorderedP(U)))))))))))),
% 0.18/0.49 inference(pre_NNF_transformation,[status(thm)],[f97])).
% 0.18/0.49 fof(f416,plain,(
% 0.18/0.49 (ssList(sK47_skl)&(ssList(sK48_skl)&(ssList(sK49_skl)&(ssList(sK50_skl)&(((((sK48_skl=sK50_skl&sK47_skl=sK49_skl)&segmentP(sK50_skl,sK49_skl))&totalorderedP(sK49_skl))&(![Y]: ((((~ssList(Y)|~neq(sK49_skl,Y))|~segmentP(sK50_skl,Y))|~segmentP(Y,sK49_skl))|~totalorderedP(Y))))&(((ssList(sK51_skl)&(((neq(sK47_skl,sK51_skl)&segmentP(sK48_skl,sK51_skl))&segmentP(sK51_skl,sK47_skl))&totalorderedP(sK51_skl)))|~segmentP(sK48_skl,sK47_skl))|~totalorderedP(sK47_skl)))))))),
% 0.18/0.49 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])).
% 0.18/0.49 fof(f421,plain,(
% 0.18/0.49 sK48_skl=sK50_skl),
% 0.18/0.49 inference(cnf_transformation,[status(thm)],[f416])).
% 0.18/0.49 fof(f422,plain,(
% 0.18/0.49 sK47_skl=sK49_skl),
% 0.18/0.49 inference(cnf_transformation,[status(thm)],[f416])).
% 0.18/0.49 fof(f423,plain,(
% 0.18/0.49 segmentP(sK50_skl,sK49_skl)),
% 0.18/0.49 inference(cnf_transformation,[status(thm)],[f416])).
% 0.18/0.49 fof(f424,plain,(
% 0.18/0.49 totalorderedP(sK49_skl)),
% 0.18/0.49 inference(cnf_transformation,[status(thm)],[f416])).
% 0.18/0.49 fof(f425,plain,(
% 0.18/0.49 ![X0]: (~ssList(X0)|~neq(sK49_skl,X0)|~segmentP(sK50_skl,X0)|~segmentP(X0,sK49_skl)|~totalorderedP(X0))),
% 0.18/0.49 inference(cnf_transformation,[status(thm)],[f416])).
% 0.18/0.49 fof(f426,plain,(
% 0.18/0.49 ssList(sK51_skl)|~segmentP(sK48_skl,sK47_skl)|~totalorderedP(sK47_skl)),
% 0.18/0.49 inference(cnf_transformation,[status(thm)],[f416])).
% 0.18/0.49 fof(f427,plain,(
% 0.18/0.49 neq(sK47_skl,sK51_skl)|~segmentP(sK48_skl,sK47_skl)|~totalorderedP(sK47_skl)),
% 0.18/0.49 inference(cnf_transformation,[status(thm)],[f416])).
% 0.18/0.49 fof(f428,plain,(
% 0.18/0.49 segmentP(sK48_skl,sK51_skl)|~segmentP(sK48_skl,sK47_skl)|~totalorderedP(sK47_skl)),
% 0.18/0.49 inference(cnf_transformation,[status(thm)],[f416])).
% 0.18/0.49 fof(f429,plain,(
% 0.18/0.49 segmentP(sK51_skl,sK47_skl)|~segmentP(sK48_skl,sK47_skl)|~totalorderedP(sK47_skl)),
% 0.18/0.49 inference(cnf_transformation,[status(thm)],[f416])).
% 0.18/0.49 fof(f430,plain,(
% 0.18/0.49 totalorderedP(sK51_skl)|~segmentP(sK48_skl,sK47_skl)|~totalorderedP(sK47_skl)),
% 0.18/0.49 inference(cnf_transformation,[status(thm)],[f416])).
% 0.18/0.49 fof(f431,definition,(
% 0.18/0.49 sQ0_spl <=> (ssList(sK51_skl))),
% 0.18/0.49 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.18/0.49 fof(f434,definition,(
% 0.18/0.49 sQ1_spl <=> (segmentP(sK48_skl,sK47_skl))),
% 0.18/0.49 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.18/0.49 fof(f436,plain,(
% 0.18/0.49 ~segmentP(sK48_skl,sK47_skl)|sQ1_spl),
% 0.18/0.49 inference(component_clause,[status(thm)],[f434])).
% 0.18/0.49 fof(f437,definition,(
% 0.18/0.49 sQ2_spl <=> (totalorderedP(sK47_skl))),
% 0.18/0.49 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.18/0.49 fof(f439,plain,(
% 0.18/0.49 ~totalorderedP(sK47_skl)|sQ2_spl),
% 0.18/0.49 inference(component_clause,[status(thm)],[f437])).
% 0.18/0.49 fof(f440,plain,(
% 0.18/0.49 sQ0_spl|~sQ1_spl|~sQ2_spl),
% 0.18/0.49 inference(split_clause,[status(thm)],[f426,f431,f434,f437])).
% 0.18/0.49 fof(f441,definition,(
% 0.18/0.49 sQ3_spl <=> (neq(sK47_skl,sK51_skl))),
% 0.18/0.49 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.18/0.49 fof(f442,plain,(
% 0.18/0.49 neq(sK47_skl,sK51_skl)|~sQ3_spl),
% 0.18/0.49 inference(component_clause,[status(thm)],[f441])).
% 0.18/0.49 fof(f444,plain,(
% 0.18/0.49 sQ3_spl|~sQ1_spl|~sQ2_spl),
% 0.18/0.49 inference(split_clause,[status(thm)],[f427,f441,f434,f437])).
% 0.18/0.49 fof(f445,definition,(
% 0.18/0.49 sQ4_spl <=> (segmentP(sK48_skl,sK51_skl))),
% 0.18/0.49 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 0.18/0.49 fof(f446,plain,(
% 0.18/0.49 segmentP(sK48_skl,sK51_skl)|~sQ4_spl),
% 0.18/0.49 inference(component_clause,[status(thm)],[f445])).
% 0.18/0.49 fof(f448,plain,(
% 0.18/0.49 sQ4_spl|~sQ1_spl|~sQ2_spl),
% 0.18/0.49 inference(split_clause,[status(thm)],[f428,f445,f434,f437])).
% 0.18/0.49 fof(f449,definition,(
% 0.18/0.49 sQ5_spl <=> (segmentP(sK51_skl,sK47_skl))),
% 0.18/0.49 introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition])).
% 0.18/0.49 fof(f450,plain,(
% 0.18/0.49 segmentP(sK51_skl,sK47_skl)|~sQ5_spl),
% 0.18/0.49 inference(component_clause,[status(thm)],[f449])).
% 0.18/0.49 fof(f452,plain,(
% 0.18/0.49 sQ5_spl|~sQ1_spl|~sQ2_spl),
% 0.18/0.49 inference(split_clause,[status(thm)],[f429,f449,f434,f437])).
% 0.18/0.49 fof(f453,definition,(
% 0.18/0.49 sQ6_spl <=> (totalorderedP(sK51_skl))),
% 0.18/0.49 introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition])).
% 0.18/0.49 fof(f456,plain,(
% 0.18/0.49 sQ6_spl|~sQ1_spl|~sQ2_spl),
% 0.18/0.49 inference(split_clause,[status(thm)],[f430,f453,f434,f437])).
% 0.18/0.49 fof(f489,plain,(
% 0.18/0.49 ~totalorderedP(sK49_skl)|sQ2_spl),
% 0.18/0.49 inference(forward_demodulation,[status(thm)],[f422,f439])).
% 0.18/0.49 fof(f490,plain,(
% 0.18/0.49 $false|sQ2_spl),
% 0.18/0.49 inference(forward_subsumption_resolution,[status(thm)],[f489,f424])).
% 0.18/0.49 fof(f491,plain,(
% 0.18/0.49 sQ2_spl),
% 0.18/0.49 inference(contradiction_clause,[status(thm)],[f490])).
% 0.18/0.49 fof(f492,plain,(
% 0.18/0.49 ~segmentP(sK50_skl,sK47_skl)|sQ1_spl),
% 0.18/0.49 inference(forward_demodulation,[status(thm)],[f421,f436])).
% 0.18/0.49 fof(f493,plain,(
% 0.18/0.49 ~segmentP(sK50_skl,sK49_skl)|sQ1_spl),
% 0.18/0.49 inference(forward_demodulation,[status(thm)],[f422,f492])).
% 0.18/0.49 fof(f495,plain,(
% 0.18/0.49 $false|sQ1_spl),
% 0.18/0.49 inference(forward_subsumption_resolution,[status(thm)],[f493,f423])).
% 0.18/0.49 fof(f496,plain,(
% 0.18/0.49 sQ1_spl),
% 0.18/0.49 inference(contradiction_clause,[status(thm)],[f495])).
% 0.18/0.49 fof(f497,plain,(
% 0.18/0.49 neq(sK49_skl,sK51_skl)|~sQ3_spl),
% 0.18/0.49 inference(forward_demodulation,[status(thm)],[f422,f442])).
% 0.18/0.49 fof(f498,plain,(
% 0.18/0.49 segmentP(sK50_skl,sK51_skl)|~sQ4_spl),
% 0.18/0.49 inference(forward_demodulation,[status(thm)],[f421,f446])).
% 0.18/0.49 fof(f499,plain,(
% 0.18/0.49 segmentP(sK51_skl,sK49_skl)|~sQ5_spl),
% 0.18/0.49 inference(forward_demodulation,[status(thm)],[f422,f450])).
% 0.18/0.49 fof(f506,plain,(
% 0.18/0.49 ~ssList(sK51_skl)|~segmentP(sK50_skl,sK51_skl)|~segmentP(sK51_skl,sK49_skl)|~totalorderedP(sK51_skl)|~sQ3_spl),
% 0.18/0.49 inference(resolution,[status(thm)],[f425,f497])).
% 0.18/0.49 fof(f507,definition,(
% 0.18/0.49 sQ7_spl <=> (segmentP(sK50_skl,sK51_skl))),
% 0.18/0.49 introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition])).
% 0.18/0.49 fof(f509,plain,(
% 0.18/0.49 ~segmentP(sK50_skl,sK51_skl)|sQ7_spl),
% 0.18/0.49 inference(component_clause,[status(thm)],[f507])).
% 0.18/0.49 fof(f510,definition,(
% 0.18/0.49 sQ8_spl <=> (segmentP(sK51_skl,sK49_skl))),
% 0.18/0.49 introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition])).
% 0.18/0.49 fof(f512,plain,(
% 0.18/0.49 ~segmentP(sK51_skl,sK49_skl)|sQ8_spl),
% 0.18/0.49 inference(component_clause,[status(thm)],[f510])).
% 0.18/0.49 fof(f513,plain,(
% 0.18/0.49 ~sQ0_spl|~sQ7_spl|~sQ8_spl|~sQ6_spl|~sQ3_spl),
% 0.18/0.49 inference(split_clause,[status(thm)],[f506,f431,f507,f510,f453,f441])).
% 0.18/0.49 fof(f514,plain,(
% 0.18/0.49 $false|~sQ4_spl|sQ7_spl),
% 0.18/0.49 inference(forward_subsumption_resolution,[status(thm)],[f509,f498])).
% 0.18/0.49 fof(f515,plain,(
% 0.18/0.49 ~sQ4_spl|sQ7_spl),
% 0.18/0.49 inference(contradiction_clause,[status(thm)],[f514])).
% 0.18/0.49 fof(f516,plain,(
% 0.18/0.49 $false|~sQ5_spl|sQ8_spl),
% 0.18/0.49 inference(forward_subsumption_resolution,[status(thm)],[f512,f499])).
% 0.18/0.49 fof(f517,plain,(
% 0.18/0.49 ~sQ5_spl|sQ8_spl),
% 0.18/0.49 inference(contradiction_clause,[status(thm)],[f516])).
% 0.18/0.49 fof(f518,plain,(
% 0.18/0.49 $false),
% 0.18/0.49 inference(sat_refutation,[status(thm)],[f440,f444,f448,f452,f456,f491,f496,f513,f515,f517])).
% 0.18/0.49 % SZS output end CNFRefutation for theBenchmark.p
% 0.26/0.57 % Elapsed time: 0.118486 seconds
% 0.26/0.57 % CPU time: 0.113656 seconds
% 0.26/0.57 % Total memory used: 3.492 MB
% 0.26/0.57 % Net memory used: 3.490 MB
%------------------------------------------------------------------------------