%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SYN643-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n011.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 0.13s 0.40s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN643-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n011.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
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Mon Sep 21 11:10:55 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.36 % Drodi V4.1.1
% 0.13/0.40 % Refutation found
% 0.13/0.40 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.40 % SZS output start CNFRefutation for theBenchmark
% 0.13/0.40 fof(f1,negated_conjecture,(
% 0.13/0.40 p15(f3(c19)) ),
% 0.13/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f2,negated_conjecture,(
% 0.13/0.40 p15(f3(c18)) ),
% 0.13/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f5,negated_conjecture,(
% 0.13/0.40 (![X36]: (p4(X36,X36) ))),
% 0.13/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f10,negated_conjecture,(
% 0.13/0.40 p4(f5(f3(c18)),f5(c18)) ),
% 0.13/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f11,negated_conjecture,(
% 0.13/0.40 p4(f5(f3(c19)),f5(c19)) ),
% 0.13/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f24,negated_conjecture,(
% 0.13/0.40 (![X37,X38,X36]: (( p4(X37,X38)| ~ p4(X36,X37)| ~ p4(X36,X38) ) ))),
% 0.13/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f28,negated_conjecture,(
% 0.13/0.40 ~ p4(f5(f10(f3(c19),f3(c18))),f9(f5(c19),f5(c18))) ),
% 0.13/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f35,negated_conjecture,(
% 0.13/0.40 (![X41,X42,X43,X44]: (( p4(f9(X41,X42),f9(X43,X44))| ~ p4(X42,X44)| ~ p4(X41,X43) ) ))),
% 0.13/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f37,negated_conjecture,(
% 0.13/0.40 (![X14,X15]: (( p4(f5(f10(X14,X15)),f9(f5(X14),f5(X15)))| ~ p15(X14)| ~ p15(X15) ) ))),
% 0.13/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f43,plain,(
% 0.13/0.40 p15(f3(c19))),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f1])).
% 0.13/0.40 fof(f44,plain,(
% 0.13/0.40 p15(f3(c18))),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f2])).
% 0.13/0.40 fof(f47,plain,(
% 0.13/0.40 ![X0]: (p4(X0,X0))),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f5])).
% 0.13/0.40 fof(f52,plain,(
% 0.13/0.40 p4(f5(f3(c18)),f5(c18))),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f10])).
% 0.13/0.40 fof(f53,plain,(
% 0.13/0.40 p4(f5(f3(c19)),f5(c19))),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f11])).
% 0.13/0.40 fof(f69,plain,(
% 0.13/0.40 ![X38,X36]: ((![X37]: (p4(X37,X38)|~p4(X36,X37)))|~p4(X36,X38))),
% 0.13/0.40 inference(miniscoping,[status(thm)],[f24])).
% 0.13/0.40 fof(f70,plain,(
% 0.13/0.40 ![X0,X1,X2]: (p4(X0,X1)|~p4(X2,X0)|~p4(X2,X1))),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f69])).
% 0.13/0.40 fof(f77,plain,(
% 0.13/0.40 ~p4(f5(f10(f3(c19),f3(c18))),f9(f5(c19),f5(c18)))),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f28])).
% 0.13/0.40 fof(f86,plain,(
% 0.13/0.40 ![X41,X43]: ((![X42,X44]: (p4(f9(X41,X42),f9(X43,X44))|~p4(X42,X44)))|~p4(X41,X43))),
% 0.13/0.40 inference(miniscoping,[status(thm)],[f35])).
% 0.13/0.40 fof(f87,plain,(
% 0.13/0.40 ![X0,X1,X2,X3]: (p4(f9(X0,X1),f9(X2,X3))|~p4(X1,X3)|~p4(X0,X2))),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f86])).
% 0.13/0.40 fof(f90,plain,(
% 0.13/0.40 ![X15]: ((![X14]: (p4(f5(f10(X14,X15)),f9(f5(X14),f5(X15)))|~p15(X14)))|~p15(X15))),
% 0.13/0.40 inference(miniscoping,[status(thm)],[f37])).
% 0.13/0.40 fof(f91,plain,(
% 0.13/0.40 ![X0,X1]: (p4(f5(f10(X0,X1)),f9(f5(X0),f5(X1)))|~p15(X0)|~p15(X1))),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f90])).
% 0.13/0.40 fof(f137,plain,(
% 0.13/0.40 ![X0]: (~p4(X0,f5(f10(f3(c19),f3(c18))))|~p4(X0,f9(f5(c19),f5(c18))))),
% 0.13/0.40 inference(resolution,[status(thm)],[f77,f70])).
% 0.13/0.40 fof(f141,plain,(
% 0.13/0.40 ![X0,X1]: (~p4(X0,f9(f5(c19),f5(c18)))|~p4(X1,X0)|~p4(X1,f5(f10(f3(c19),f3(c18)))))),
% 0.13/0.40 inference(resolution,[status(thm)],[f137,f70])).
% 0.13/0.40 fof(f148,plain,(
% 0.13/0.40 ![X0]: (~p4(X0,f9(f5(c19),f5(c18)))|~p4(f5(f10(f3(c19),f3(c18))),X0))),
% 0.13/0.40 inference(resolution,[status(thm)],[f141,f47])).
% 0.13/0.40 fof(f149,plain,(
% 0.13/0.40 ~p4(f9(f5(f3(c19)),f5(f3(c18))),f9(f5(c19),f5(c18)))|~p15(f3(c19))|~p15(f3(c18))),
% 0.13/0.40 inference(resolution,[status(thm)],[f148,f91])).
% 0.13/0.40 fof(f153,definition,(
% 0.13/0.40 sQ0_spl <=> (p4(f9(f5(f3(c19)),f5(f3(c18))),f9(f5(c19),f5(c18))))),
% 0.13/0.40 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.13/0.40 fof(f155,plain,(
% 0.13/0.40 ~p4(f9(f5(f3(c19)),f5(f3(c18))),f9(f5(c19),f5(c18)))|sQ0_spl),
% 0.13/0.40 inference(component_clause,[status(thm)],[f153])).
% 0.13/0.40 fof(f156,definition,(
% 0.13/0.40 sQ1_spl <=> (p15(f3(c19)))),
% 0.13/0.40 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.13/0.40 fof(f158,plain,(
% 0.13/0.40 ~p15(f3(c19))|sQ1_spl),
% 0.13/0.40 inference(component_clause,[status(thm)],[f156])).
% 0.13/0.40 fof(f159,definition,(
% 0.13/0.40 sQ2_spl <=> (p15(f3(c18)))),
% 0.13/0.40 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.13/0.40 fof(f161,plain,(
% 0.13/0.40 ~p15(f3(c18))|sQ2_spl),
% 0.13/0.40 inference(component_clause,[status(thm)],[f159])).
% 0.13/0.40 fof(f162,plain,(
% 0.13/0.40 ~sQ0_spl|~sQ1_spl|~sQ2_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f149,f153,f156,f159])).
% 0.13/0.40 fof(f163,plain,(
% 0.13/0.40 $false|sQ2_spl),
% 0.13/0.40 inference(forward_subsumption_resolution,[status(thm)],[f161,f44])).
% 0.13/0.40 fof(f164,plain,(
% 0.13/0.40 sQ2_spl),
% 0.13/0.40 inference(contradiction_clause,[status(thm)],[f163])).
% 0.13/0.40 fof(f166,plain,(
% 0.13/0.40 ~p4(f5(f3(c18)),f5(c18))|~p4(f5(f3(c19)),f5(c19))|sQ0_spl),
% 0.13/0.40 inference(resolution,[status(thm)],[f155,f87])).
% 0.13/0.40 fof(f168,definition,(
% 0.13/0.40 sQ3_spl <=> (p4(f5(f3(c18)),f5(c18)))),
% 0.13/0.40 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.13/0.40 fof(f170,plain,(
% 0.13/0.40 ~p4(f5(f3(c18)),f5(c18))|sQ3_spl),
% 0.13/0.40 inference(component_clause,[status(thm)],[f168])).
% 0.13/0.40 fof(f171,definition,(
% 0.13/0.40 sQ4_spl <=> (p4(f5(f3(c19)),f5(c19)))),
% 0.13/0.40 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 0.13/0.40 fof(f173,plain,(
% 0.13/0.40 ~p4(f5(f3(c19)),f5(c19))|sQ4_spl),
% 0.13/0.40 inference(component_clause,[status(thm)],[f171])).
% 0.13/0.40 fof(f174,plain,(
% 0.13/0.40 ~sQ3_spl|~sQ4_spl|sQ0_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f166,f168,f171,f153])).
% 0.13/0.40 fof(f175,plain,(
% 0.13/0.40 $false|sQ1_spl),
% 0.13/0.40 inference(forward_subsumption_resolution,[status(thm)],[f158,f43])).
% 0.13/0.40 fof(f176,plain,(
% 0.13/0.40 sQ1_spl),
% 0.13/0.40 inference(contradiction_clause,[status(thm)],[f175])).
% 0.13/0.40 fof(f177,plain,(
% 0.13/0.40 $false|sQ3_spl),
% 0.13/0.40 inference(forward_subsumption_resolution,[status(thm)],[f170,f52])).
% 0.13/0.40 fof(f178,plain,(
% 0.13/0.40 sQ3_spl),
% 0.13/0.40 inference(contradiction_clause,[status(thm)],[f177])).
% 0.13/0.40 fof(f179,plain,(
% 0.13/0.40 $false|sQ4_spl),
% 0.13/0.40 inference(forward_subsumption_resolution,[status(thm)],[f173,f53])).
% 0.13/0.40 fof(f180,plain,(
% 0.13/0.40 sQ4_spl),
% 0.13/0.40 inference(contradiction_clause,[status(thm)],[f179])).
% 0.13/0.40 fof(f181,plain,(
% 0.13/0.40 $false),
% 0.13/0.40 inference(sat_refutation,[status(thm)],[f162,f164,f174,f176,f178,f180])).
% 0.13/0.40 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.43 % Elapsed time: 0.057904 seconds
% 0.13/0.43 % CPU time: 0.249420 seconds
% 0.13/0.43 % Total memory used: 20.900 MB
% 0.13/0.43 % Net memory used: 20.563 MB
%------------------------------------------------------------------------------