%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SYN676-1 : 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 : n003.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 03:20:20 PM UTC 2026
% Result : Unsatisfiable 0.08s 0.40s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN676-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n003.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 11:13:31 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.08/0.36 % Drodi V4.1.1
% 0.08/0.40 % Refutation found
% 0.08/0.40 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.08/0.40 % SZS output start CNFRefutation for theBenchmark
% 0.08/0.40 fof(f6,negated_conjecture,(
% 0.08/0.40 (![X35]: (p2(X35,X35) ))),
% 0.08/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.40 fof(f11,negated_conjecture,(
% 0.08/0.40 p25(c33,c36) ),
% 0.08/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.40 fof(f12,negated_conjecture,(
% 0.08/0.40 p25(c32,c33) ),
% 0.08/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.40 fof(f19,negated_conjecture,(
% 0.08/0.40 (![X96]: (~ p2(X96,f16(X96,f9(f17(c31)))) ))),
% 0.08/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.40 fof(f30,negated_conjecture,(
% 0.08/0.40 (![X36,X37,X35]: (( p2(X36,X37)| ~ p2(X35,X36)| ~ p2(X35,X37) ) ))),
% 0.08/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.40 fof(f39,negated_conjecture,(
% 0.08/0.40 p2(f11(f4(c32),c34),f16(f11(f4(c33),c34),f9(f17(c31)))) ),
% 0.08/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.40 fof(f51,negated_conjecture,(
% 0.08/0.40 (![X43]: (( p2(f11(f4(X43),c34),f11(f4(c32),c34))| ~ p25(X43,c36)| ~ p25(c32,X43) ) ))),
% 0.08/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.40 fof(f61,plain,(
% 0.08/0.40 ![X0]: (p2(X0,X0))),
% 0.08/0.40 inference(cnf_transformation,[status(thm)],[f6])).
% 0.08/0.40 fof(f66,plain,(
% 0.08/0.40 p25(c33,c36)),
% 0.08/0.40 inference(cnf_transformation,[status(thm)],[f11])).
% 0.08/0.40 fof(f67,plain,(
% 0.08/0.40 p25(c32,c33)),
% 0.08/0.40 inference(cnf_transformation,[status(thm)],[f12])).
% 0.08/0.40 fof(f74,plain,(
% 0.08/0.40 ![X0]: (~p2(X0,f16(X0,f9(f17(c31)))))),
% 0.08/0.40 inference(cnf_transformation,[status(thm)],[f19])).
% 0.08/0.40 fof(f89,plain,(
% 0.08/0.40 ![X37,X35]: ((![X36]: (p2(X36,X37)|~p2(X35,X36)))|~p2(X35,X37))),
% 0.08/0.40 inference(miniscoping,[status(thm)],[f30])).
% 0.08/0.40 fof(f90,plain,(
% 0.08/0.40 ![X0,X1,X2]: (p2(X0,X1)|~p2(X2,X0)|~p2(X2,X1))),
% 0.08/0.40 inference(cnf_transformation,[status(thm)],[f89])).
% 0.08/0.40 fof(f107,plain,(
% 0.08/0.40 p2(f11(f4(c32),c34),f16(f11(f4(c33),c34),f9(f17(c31))))),
% 0.08/0.40 inference(cnf_transformation,[status(thm)],[f39])).
% 0.08/0.40 fof(f125,plain,(
% 0.08/0.40 ![X0]: (p2(f11(f4(X0),c34),f11(f4(c32),c34))|~p25(X0,c36)|~p25(c32,X0))),
% 0.08/0.40 inference(cnf_transformation,[status(thm)],[f51])).
% 0.08/0.40 fof(f135,plain,(
% 0.08/0.40 ![X0,X1]: (~p2(X0,X1)|~p2(X0,f16(X1,f9(f17(c31)))))),
% 0.08/0.40 inference(resolution,[status(thm)],[f90,f74])).
% 0.08/0.40 fof(f143,plain,(
% 0.08/0.40 ~p2(f11(f4(c32),c34),f11(f4(c33),c34))),
% 0.08/0.40 inference(resolution,[status(thm)],[f107,f135])).
% 0.08/0.40 fof(f155,plain,(
% 0.08/0.40 ![X0]: (~p2(X0,f11(f4(c32),c34))|~p2(X0,f11(f4(c33),c34)))),
% 0.08/0.40 inference(resolution,[status(thm)],[f143,f90])).
% 0.08/0.40 fof(f359,plain,(
% 0.08/0.40 ~p2(f11(f4(c33),c34),f11(f4(c32),c34))),
% 0.08/0.40 inference(resolution,[status(thm)],[f155,f61])).
% 0.08/0.40 fof(f373,plain,(
% 0.08/0.40 ~p25(c33,c36)|~p25(c32,c33)),
% 0.08/0.40 inference(resolution,[status(thm)],[f359,f125])).
% 0.08/0.40 fof(f377,definition,(
% 0.08/0.40 sQ7_spl <=> (p25(c33,c36))),
% 0.08/0.40 introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition])).
% 0.08/0.40 fof(f379,plain,(
% 0.08/0.40 ~p25(c33,c36)|sQ7_spl),
% 0.08/0.40 inference(component_clause,[status(thm)],[f377])).
% 0.08/0.40 fof(f380,definition,(
% 0.08/0.40 sQ8_spl <=> (p25(c32,c33))),
% 0.08/0.40 introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition])).
% 0.08/0.40 fof(f382,plain,(
% 0.08/0.40 ~p25(c32,c33)|sQ8_spl),
% 0.08/0.40 inference(component_clause,[status(thm)],[f380])).
% 0.08/0.40 fof(f383,plain,(
% 0.08/0.40 ~sQ7_spl|~sQ8_spl),
% 0.08/0.40 inference(split_clause,[status(thm)],[f373,f377,f380])).
% 0.08/0.40 fof(f392,plain,(
% 0.08/0.40 $false|sQ8_spl),
% 0.08/0.40 inference(forward_subsumption_resolution,[status(thm)],[f382,f67])).
% 0.08/0.40 fof(f393,plain,(
% 0.08/0.40 sQ8_spl),
% 0.08/0.40 inference(contradiction_clause,[status(thm)],[f392])).
% 0.08/0.40 fof(f394,plain,(
% 0.08/0.40 $false|sQ7_spl),
% 0.08/0.40 inference(forward_subsumption_resolution,[status(thm)],[f379,f66])).
% 0.08/0.40 fof(f395,plain,(
% 0.08/0.40 sQ7_spl),
% 0.08/0.40 inference(contradiction_clause,[status(thm)],[f394])).
% 0.08/0.40 fof(f396,plain,(
% 0.08/0.40 $false),
% 0.08/0.40 inference(sat_refutation,[status(thm)],[f383,f393,f395])).
% 0.08/0.40 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.43 % Elapsed time: 0.068187 seconds
% 0.13/0.43 % CPU time: 0.240644 seconds
% 0.13/0.43 % Total memory used: 12.494 MB
% 0.13/0.43 % Net memory used: 12.237 MB
%------------------------------------------------------------------------------