%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SYO580+1 : TPTP v9.3.1. Released v5.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n018.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 03:44:31 PM UTC 2026
% Result : Theorem 0.13s 0.40s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYO580+1 : TPTP v9.3.1. Released v5.5.0.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n018.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Mon Sep 21 11:58:29 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.13/0.38 % Drodi V4.1.1
% 0.13/0.40 % Refutation found
% 0.13/0.40 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.13/0.40 % SZS output start CNFRefutation for theBenchmark
% 0.13/0.40 fof(f320,axiom,(
% 0.13/0.40 ( (! [X319] :( b48_buttercup10305(X319)=> k04_buttercup10303(X319) ))& (? [X320] :( k04_buttercup10303(X320)& ~ b48_buttercup10305(X320) ) )) ),
% 0.13/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f886,conjecture,(
% 0.13/0.40 ( (! [X1055] :( b48_buttercup10305(X1055)<=> k04_buttercup10303(X1055) ))| ( (! [X1056] :( k04_buttercup10303(X1056)=> b48_buttercup10305(X1056) ))& (? [X1057] :( b48_buttercup10305(X1057)& ~ k04_buttercup10303(X1057) ) ))| ( (! [X1058] :( b48_buttercup10305(X1058)=> k04_buttercup10303(X1058) ))& (? [X1059] :( k04_buttercup10303(X1059)& ~ b48_buttercup10305(X1059) ) ))| (! [X1060] :( b48_buttercup10305(X1060)=> ~ k04_buttercup10303(X1060) ) )) ),
% 0.13/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f887,negated_conjecture,(
% 0.13/0.40 ~(( (! [X1055] :( b48_buttercup10305(X1055)<=> k04_buttercup10303(X1055) ))| ( (! [X1056] :( k04_buttercup10303(X1056)=> b48_buttercup10305(X1056) ))& (? [X1057] :( b48_buttercup10305(X1057)& ~ k04_buttercup10303(X1057) ) ))| ( (! [X1058] :( b48_buttercup10305(X1058)=> k04_buttercup10303(X1058) ))& (? [X1059] :( k04_buttercup10303(X1059)& ~ b48_buttercup10305(X1059) ) ))| (! [X1060] :( b48_buttercup10305(X1060)=> ~ k04_buttercup10303(X1060) ) )) )),
% 0.13/0.40 inference(negated_conjecture,[status(cth)],[f886])).
% 0.13/0.40 fof(f1526,plain,(
% 0.13/0.40 (![X319]: (~b48_buttercup10305(X319)|k04_buttercup10303(X319)))&(?[X320]: (k04_buttercup10303(X320)&~b48_buttercup10305(X320)))),
% 0.13/0.40 inference(pre_NNF_transformation,[status(thm)],[f320])).
% 0.13/0.40 fof(f1527,plain,(
% 0.13/0.40 (![X319]: (~b48_buttercup10305(X319)|k04_buttercup10303(X319)))&(k04_buttercup10303(sK0_skl)&~b48_buttercup10305(sK0_skl))),
% 0.13/0.40 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl]),skolemize(X320,sK0_skl)],[f1526])).
% 0.13/0.40 fof(f1528,plain,(
% 0.13/0.40 ![X0]: (~b48_buttercup10305(X0)|k04_buttercup10303(X0))),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f1527])).
% 0.13/0.40 fof(f3200,plain,(
% 0.13/0.40 ((((?[X1055]: (b48_buttercup10305(X1055)<~>k04_buttercup10303(X1055)))&((?[X1056]: (k04_buttercup10303(X1056)&~b48_buttercup10305(X1056)))|(![X1057]: (~b48_buttercup10305(X1057)|k04_buttercup10303(X1057)))))&((?[X1058]: (b48_buttercup10305(X1058)&~k04_buttercup10303(X1058)))|(![X1059]: (~k04_buttercup10303(X1059)|b48_buttercup10305(X1059)))))&(?[X1060]: (b48_buttercup10305(X1060)&k04_buttercup10303(X1060))))),
% 0.13/0.40 inference(pre_NNF_transformation,[status(thm)],[f887])).
% 0.13/0.40 fof(f3201,plain,(
% 0.13/0.40 (((?[X1055]: ((b48_buttercup10305(X1055)|k04_buttercup10303(X1055))&(~b48_buttercup10305(X1055)|~k04_buttercup10303(X1055))))&((?[X1056]: (k04_buttercup10303(X1056)&~b48_buttercup10305(X1056)))|(![X1057]: (~b48_buttercup10305(X1057)|k04_buttercup10303(X1057)))))&((?[X1058]: (b48_buttercup10305(X1058)&~k04_buttercup10303(X1058)))|(![X1059]: (~k04_buttercup10303(X1059)|b48_buttercup10305(X1059)))))&(?[X1060]: (b48_buttercup10305(X1060)&k04_buttercup10303(X1060)))),
% 0.13/0.40 inference(NNF_transformation,[status(thm)],[f3200])).
% 0.13/0.40 fof(f3202,plain,(
% 0.13/0.40 ((((b48_buttercup10305(sK462_skl)|k04_buttercup10303(sK462_skl))&(~b48_buttercup10305(sK462_skl)|~k04_buttercup10303(sK462_skl)))&((k04_buttercup10303(sK463_skl)&~b48_buttercup10305(sK463_skl))|(![X1057]: (~b48_buttercup10305(X1057)|k04_buttercup10303(X1057)))))&((b48_buttercup10305(sK464_skl)&~k04_buttercup10303(sK464_skl))|(![X1059]: (~k04_buttercup10303(X1059)|b48_buttercup10305(X1059)))))&(b48_buttercup10305(sK465_skl)&k04_buttercup10303(sK465_skl))),
% 0.13/0.40 inference(skolemize,[status(esa),new_symbols(skolem,[sK462_skl,sK463_skl,sK464_skl,sK465_skl]),skolemize(X1055,sK462_skl),skolemize(X1056,sK463_skl),skolemize(X1058,sK464_skl),skolemize(X1060,sK465_skl)],[f3201])).
% 0.13/0.40 fof(f3203,plain,(
% 0.13/0.40 b48_buttercup10305(sK462_skl)|k04_buttercup10303(sK462_skl)),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f3202])).
% 0.13/0.40 fof(f3204,plain,(
% 0.13/0.40 ~b48_buttercup10305(sK462_skl)|~k04_buttercup10303(sK462_skl)),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f3202])).
% 0.13/0.40 fof(f3207,plain,(
% 0.13/0.40 ![X0]: (b48_buttercup10305(sK464_skl)|~k04_buttercup10303(X0)|b48_buttercup10305(X0))),
% 0.13/0.41 inference(cnf_transformation,[status(thm)],[f3202])).
% 0.13/0.41 fof(f3208,plain,(
% 0.13/0.41 ![X0]: (~k04_buttercup10303(sK464_skl)|~k04_buttercup10303(X0)|b48_buttercup10305(X0))),
% 0.13/0.41 inference(cnf_transformation,[status(thm)],[f3202])).
% 0.13/0.41 fof(f3655,definition,(
% 0.13/0.41 sQ60_spl <=> (b48_buttercup10305(sK462_skl))),
% 0.13/0.41 introduced(definition,[new_symbols(definition,[sQ60_spl])],[split_symbol_definition])).
% 0.13/0.41 fof(f3656,plain,(
% 0.13/0.41 b48_buttercup10305(sK462_skl)|~sQ60_spl),
% 0.13/0.41 inference(component_clause,[status(thm)],[f3655])).
% 0.13/0.41 fof(f3657,plain,(
% 0.13/0.41 ~b48_buttercup10305(sK462_skl)|sQ60_spl),
% 0.13/0.41 inference(component_clause,[status(thm)],[f3655])).
% 0.13/0.41 fof(f3658,definition,(
% 0.13/0.41 sQ61_spl <=> (k04_buttercup10303(sK462_skl))),
% 0.13/0.41 introduced(definition,[new_symbols(definition,[sQ61_spl])],[split_symbol_definition])).
% 0.13/0.41 fof(f3659,plain,(
% 0.13/0.41 k04_buttercup10303(sK462_skl)|~sQ61_spl),
% 0.13/0.41 inference(component_clause,[status(thm)],[f3658])).
% 0.13/0.41 fof(f3661,plain,(
% 0.13/0.41 sQ60_spl|sQ61_spl),
% 0.13/0.41 inference(split_clause,[status(thm)],[f3203,f3655,f3658])).
% 0.13/0.41 fof(f3662,plain,(
% 0.13/0.41 ~sQ60_spl|~sQ61_spl),
% 0.13/0.41 inference(split_clause,[status(thm)],[f3204,f3655,f3658])).
% 0.13/0.41 fof(f3674,definition,(
% 0.13/0.41 sQ65_spl <=> (b48_buttercup10305(sK464_skl))),
% 0.13/0.41 introduced(definition,[new_symbols(definition,[sQ65_spl])],[split_symbol_definition])).
% 0.13/0.41 fof(f3675,plain,(
% 0.13/0.41 b48_buttercup10305(sK464_skl)|~sQ65_spl),
% 0.13/0.41 inference(component_clause,[status(thm)],[f3674])).
% 0.13/0.41 fof(f3677,definition,(
% 0.13/0.41 ![X0]: (sQ66_spl <=> (~k04_buttercup10303(X0)|b48_buttercup10305(X0)))),
% 0.13/0.41 introduced(definition,[new_symbols(definition,[sQ66_spl])],[split_symbol_definition])).
% 0.13/0.41 fof(f3678,plain,(
% 0.13/0.41 ![X0]: (~k04_buttercup10303(X0)|b48_buttercup10305(X0)|~sQ66_spl)),
% 0.13/0.41 inference(component_clause,[status(thm)],[f3677])).
% 0.13/0.41 fof(f3680,plain,(
% 0.13/0.41 sQ65_spl|sQ66_spl),
% 0.13/0.41 inference(split_clause,[status(thm)],[f3207,f3674,f3677])).
% 0.13/0.41 fof(f3681,definition,(
% 0.13/0.41 sQ67_spl <=> (k04_buttercup10303(sK464_skl))),
% 0.13/0.41 introduced(definition,[new_symbols(definition,[sQ67_spl])],[split_symbol_definition])).
% 0.13/0.41 fof(f3683,plain,(
% 0.13/0.41 ~k04_buttercup10303(sK464_skl)|sQ67_spl),
% 0.13/0.41 inference(component_clause,[status(thm)],[f3681])).
% 0.13/0.41 fof(f3684,plain,(
% 0.13/0.41 ~sQ67_spl|sQ66_spl),
% 0.13/0.41 inference(split_clause,[status(thm)],[f3208,f3681,f3677])).
% 0.13/0.41 fof(f4009,plain,(
% 0.13/0.41 ~k04_buttercup10303(sK462_skl)|~sQ66_spl|sQ60_spl),
% 0.13/0.41 inference(resolution,[status(thm)],[f3678,f3657])).
% 0.13/0.41 fof(f4010,plain,(
% 0.13/0.41 $false|~sQ61_spl|~sQ66_spl|sQ60_spl),
% 0.13/0.41 inference(forward_subsumption_resolution,[status(thm)],[f4009,f3659])).
% 0.13/0.41 fof(f4011,plain,(
% 0.13/0.41 ~sQ61_spl|~sQ66_spl|sQ60_spl),
% 0.13/0.41 inference(contradiction_clause,[status(thm)],[f4010])).
% 0.13/0.41 fof(f4013,plain,(
% 0.13/0.41 k04_buttercup10303(sK462_skl)|~sQ60_spl),
% 0.13/0.41 inference(resolution,[status(thm)],[f1528,f3656])).
% 0.13/0.41 fof(f4014,plain,(
% 0.13/0.41 k04_buttercup10303(sK464_skl)|~sQ65_spl),
% 0.13/0.41 inference(resolution,[status(thm)],[f1528,f3675])).
% 0.13/0.41 fof(f4016,plain,(
% 0.13/0.41 sQ61_spl|~sQ60_spl),
% 0.13/0.41 inference(split_clause,[status(thm)],[f4013,f3658,f3655])).
% 0.13/0.41 fof(f4017,plain,(
% 0.13/0.41 $false|sQ67_spl|~sQ65_spl),
% 0.13/0.41 inference(forward_subsumption_resolution,[status(thm)],[f4014,f3683])).
% 0.13/0.41 fof(f4018,plain,(
% 0.13/0.41 sQ67_spl|~sQ65_spl),
% 0.13/0.41 inference(contradiction_clause,[status(thm)],[f4017])).
% 0.13/0.41 fof(f4019,plain,(
% 0.13/0.41 $false),
% 0.13/0.41 inference(sat_refutation,[status(thm)],[f3661,f3662,f3680,f3684,f4011,f4016,f4018])).
% 0.13/0.41 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.44 % Elapsed time: 0.085134 seconds
% 0.13/0.44 % CPU time: 0.267225 seconds
% 0.13/0.44 % Total memory used: 73.060 MB
% 0.13/0.44 % Net memory used: 72.472 MB
%------------------------------------------------------------------------------