%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SYN641-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n005.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 03:20:17 PM UTC 2026
% Result : Unsatisfiable 0.14s 0.41s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN641-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n005.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 11:10:47 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 % Drodi V4.1.1
% 0.14/0.41 % Refutation found
% 0.14/0.41 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/0.41 % SZS output start CNFRefutation for theBenchmark
% 0.14/0.41 fof(f1,negated_conjecture,(
% 0.14/0.41 p15(f3(c19)) ),
% 0.14/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.41 fof(f2,negated_conjecture,(
% 0.14/0.41 p15(f3(c18)) ),
% 0.14/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.41 fof(f4,negated_conjecture,(
% 0.14/0.41 (![X45]: (p6(X45,X45) ))),
% 0.14/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.41 fof(f12,negated_conjecture,(
% 0.14/0.41 p6(f7(f3(c18)),f7(c18)) ),
% 0.14/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.41 fof(f13,negated_conjecture,(
% 0.14/0.41 p6(f7(f3(c19)),f7(c19)) ),
% 0.14/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.41 fof(f23,negated_conjecture,(
% 0.14/0.41 (![X46,X47,X45]: (( p6(X46,X47)| ~ p6(X45,X46)| ~ p6(X45,X47) ) ))),
% 0.14/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.41 fof(f28,negated_conjecture,(
% 0.14/0.41 ~ p6(f7(f10(f3(c19),f3(c18))),f9(f7(c19),f7(c18))) ),
% 0.14/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.41 fof(f33,negated_conjecture,(
% 0.14/0.41 (![X52,X53,X54,X55]: (( p6(f9(X52,X53),f9(X54,X55))| ~ p6(X53,X55)| ~ p6(X52,X54) ) ))),
% 0.14/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.41 fof(f38,negated_conjecture,(
% 0.14/0.41 (![X14,X15]: (( p6(f7(f10(X14,X15)),f9(f7(X14),f7(X15)))| ~ p15(X14)| ~ p15(X15) ) ))),
% 0.14/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.41 fof(f43,plain,(
% 0.14/0.41 p15(f3(c19))),
% 0.14/0.41 inference(cnf_transformation,[status(thm)],[f1])).
% 0.14/0.41 fof(f44,plain,(
% 0.14/0.41 p15(f3(c18))),
% 0.14/0.41 inference(cnf_transformation,[status(thm)],[f2])).
% 0.14/0.41 fof(f46,plain,(
% 0.14/0.41 ![X0]: (p6(X0,X0))),
% 0.14/0.41 inference(cnf_transformation,[status(thm)],[f4])).
% 0.14/0.41 fof(f54,plain,(
% 0.14/0.41 p6(f7(f3(c18)),f7(c18))),
% 0.14/0.41 inference(cnf_transformation,[status(thm)],[f12])).
% 0.14/0.41 fof(f55,plain,(
% 0.14/0.41 p6(f7(f3(c19)),f7(c19))),
% 0.14/0.41 inference(cnf_transformation,[status(thm)],[f13])).
% 0.14/0.41 fof(f67,plain,(
% 0.14/0.41 ![X47,X45]: ((![X46]: (p6(X46,X47)|~p6(X45,X46)))|~p6(X45,X47))),
% 0.14/0.41 inference(miniscoping,[status(thm)],[f23])).
% 0.14/0.41 fof(f68,plain,(
% 0.14/0.41 ![X0,X1,X2]: (p6(X0,X1)|~p6(X2,X0)|~p6(X2,X1))),
% 0.14/0.41 inference(cnf_transformation,[status(thm)],[f67])).
% 0.14/0.41 fof(f77,plain,(
% 0.14/0.41 ~p6(f7(f10(f3(c19),f3(c18))),f9(f7(c19),f7(c18)))),
% 0.14/0.41 inference(cnf_transformation,[status(thm)],[f28])).
% 0.14/0.41 fof(f82,plain,(
% 0.14/0.41 ![X52,X54]: ((![X53,X55]: (p6(f9(X52,X53),f9(X54,X55))|~p6(X53,X55)))|~p6(X52,X54))),
% 0.14/0.41 inference(miniscoping,[status(thm)],[f33])).
% 0.14/0.41 fof(f83,plain,(
% 0.14/0.41 ![X0,X1,X2,X3]: (p6(f9(X0,X1),f9(X2,X3))|~p6(X1,X3)|~p6(X0,X2))),
% 0.14/0.41 inference(cnf_transformation,[status(thm)],[f82])).
% 0.14/0.41 fof(f92,plain,(
% 0.14/0.41 ![X15]: ((![X14]: (p6(f7(f10(X14,X15)),f9(f7(X14),f7(X15)))|~p15(X14)))|~p15(X15))),
% 0.14/0.41 inference(miniscoping,[status(thm)],[f38])).
% 0.14/0.41 fof(f93,plain,(
% 0.14/0.41 ![X0,X1]: (p6(f7(f10(X0,X1)),f9(f7(X0),f7(X1)))|~p15(X0)|~p15(X1))),
% 0.14/0.41 inference(cnf_transformation,[status(thm)],[f92])).
% 0.14/0.41 fof(f137,plain,(
% 0.14/0.41 ![X0]: (~p6(X0,f7(f10(f3(c19),f3(c18))))|~p6(X0,f9(f7(c19),f7(c18))))),
% 0.14/0.41 inference(resolution,[status(thm)],[f77,f68])).
% 0.14/0.41 fof(f141,plain,(
% 0.14/0.41 ![X0,X1]: (~p6(X0,f9(f7(c19),f7(c18)))|~p6(X1,X0)|~p6(X1,f7(f10(f3(c19),f3(c18)))))),
% 0.14/0.41 inference(resolution,[status(thm)],[f137,f68])).
% 0.14/0.41 fof(f148,plain,(
% 0.14/0.41 ![X0]: (~p6(X0,f9(f7(c19),f7(c18)))|~p6(f7(f10(f3(c19),f3(c18))),X0))),
% 0.14/0.41 inference(resolution,[status(thm)],[f141,f46])).
% 0.14/0.41 fof(f149,plain,(
% 0.14/0.41 ~p6(f9(f7(f3(c19)),f7(f3(c18))),f9(f7(c19),f7(c18)))|~p15(f3(c19))|~p15(f3(c18))),
% 0.14/0.41 inference(resolution,[status(thm)],[f148,f93])).
% 0.14/0.41 fof(f153,definition,(
% 0.14/0.41 sQ0_spl <=> (p6(f9(f7(f3(c19)),f7(f3(c18))),f9(f7(c19),f7(c18))))),
% 0.14/0.41 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.14/0.41 fof(f155,plain,(
% 0.14/0.41 ~p6(f9(f7(f3(c19)),f7(f3(c18))),f9(f7(c19),f7(c18)))|sQ0_spl),
% 0.14/0.41 inference(component_clause,[status(thm)],[f153])).
% 0.14/0.41 fof(f156,definition,(
% 0.14/0.41 sQ1_spl <=> (p15(f3(c19)))),
% 0.14/0.41 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.14/0.41 fof(f158,plain,(
% 0.14/0.41 ~p15(f3(c19))|sQ1_spl),
% 0.14/0.41 inference(component_clause,[status(thm)],[f156])).
% 0.14/0.41 fof(f159,definition,(
% 0.14/0.41 sQ2_spl <=> (p15(f3(c18)))),
% 0.14/0.41 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.14/0.41 fof(f161,plain,(
% 0.14/0.41 ~p15(f3(c18))|sQ2_spl),
% 0.14/0.41 inference(component_clause,[status(thm)],[f159])).
% 0.14/0.41 fof(f162,plain,(
% 0.14/0.41 ~sQ0_spl|~sQ1_spl|~sQ2_spl),
% 0.14/0.41 inference(split_clause,[status(thm)],[f149,f153,f156,f159])).
% 0.14/0.41 fof(f163,plain,(
% 0.14/0.41 $false|sQ2_spl),
% 0.14/0.41 inference(forward_subsumption_resolution,[status(thm)],[f161,f44])).
% 0.14/0.41 fof(f164,plain,(
% 0.14/0.41 sQ2_spl),
% 0.14/0.41 inference(contradiction_clause,[status(thm)],[f163])).
% 0.14/0.41 fof(f166,plain,(
% 0.14/0.41 ~p6(f7(f3(c18)),f7(c18))|~p6(f7(f3(c19)),f7(c19))|sQ0_spl),
% 0.14/0.41 inference(resolution,[status(thm)],[f155,f83])).
% 0.14/0.41 fof(f168,definition,(
% 0.14/0.41 sQ3_spl <=> (p6(f7(f3(c18)),f7(c18)))),
% 0.14/0.41 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.14/0.41 fof(f170,plain,(
% 0.14/0.41 ~p6(f7(f3(c18)),f7(c18))|sQ3_spl),
% 0.14/0.41 inference(component_clause,[status(thm)],[f168])).
% 0.14/0.41 fof(f171,definition,(
% 0.14/0.41 sQ4_spl <=> (p6(f7(f3(c19)),f7(c19)))),
% 0.14/0.41 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 0.14/0.41 fof(f173,plain,(
% 0.14/0.41 ~p6(f7(f3(c19)),f7(c19))|sQ4_spl),
% 0.14/0.41 inference(component_clause,[status(thm)],[f171])).
% 0.14/0.41 fof(f174,plain,(
% 0.14/0.41 ~sQ3_spl|~sQ4_spl|sQ0_spl),
% 0.14/0.41 inference(split_clause,[status(thm)],[f166,f168,f171,f153])).
% 0.14/0.41 fof(f175,plain,(
% 0.14/0.41 $false|sQ1_spl),
% 0.14/0.41 inference(forward_subsumption_resolution,[status(thm)],[f158,f43])).
% 0.14/0.41 fof(f176,plain,(
% 0.14/0.41 sQ1_spl),
% 0.14/0.41 inference(contradiction_clause,[status(thm)],[f175])).
% 0.14/0.41 fof(f177,plain,(
% 0.14/0.41 $false|sQ3_spl),
% 0.14/0.41 inference(forward_subsumption_resolution,[status(thm)],[f170,f54])).
% 0.14/0.41 fof(f178,plain,(
% 0.14/0.41 sQ3_spl),
% 0.14/0.41 inference(contradiction_clause,[status(thm)],[f177])).
% 0.14/0.41 fof(f179,plain,(
% 0.14/0.41 $false|sQ4_spl),
% 0.14/0.41 inference(forward_subsumption_resolution,[status(thm)],[f173,f55])).
% 0.14/0.41 fof(f180,plain,(
% 0.14/0.41 sQ4_spl),
% 0.14/0.41 inference(contradiction_clause,[status(thm)],[f179])).
% 0.14/0.41 fof(f181,plain,(
% 0.14/0.41 $false),
% 0.14/0.41 inference(sat_refutation,[status(thm)],[f162,f164,f174,f176,f178,f180])).
% 0.14/0.41 % SZS output end CNFRefutation for theBenchmark.p
% 0.14/0.45 % Elapsed time: 0.068360 seconds
% 0.14/0.45 % CPU time: 0.245447 seconds
% 0.14/0.45 % Total memory used: 20.326 MB
% 0.14/0.45 % Net memory used: 19.988 MB
%------------------------------------------------------------------------------