%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SYN675-1 : 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 : n002.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 0.18s 0.54s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SYN675-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.05 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.44 % Computer : n002.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 11:14:32 UTC 2026
% 0.18/0.44 % CPUTime :
% 0.18/0.46 % Drodi V4.1.1
% 0.18/0.54 % Refutation found
% 0.18/0.54 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.18/0.54 % SZS output start CNFRefutation for theBenchmark
% 0.18/0.54 fof(f6,negated_conjecture,(
% 0.18/0.54 (![X35]: (p2(X35,X35) ))),
% 0.18/0.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.18/0.54 fof(f12,negated_conjecture,(
% 0.18/0.54 p25(c36,c33) ),
% 0.18/0.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.18/0.54 fof(f13,negated_conjecture,(
% 0.18/0.54 p25(c32,c36) ),
% 0.18/0.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.18/0.54 fof(f19,negated_conjecture,(
% 0.18/0.54 (![X96]: (~ p2(X96,f16(X96,f9(f17(c31)))) ))),
% 0.18/0.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.18/0.54 fof(f30,negated_conjecture,(
% 0.18/0.54 (![X36,X37,X35]: (( p2(X36,X37)| ~ p2(X35,X36)| ~ p2(X35,X37) ) ))),
% 0.18/0.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.18/0.54 fof(f40,negated_conjecture,(
% 0.18/0.54 p2(f11(f4(c32),c34),f16(f11(f4(c36),c34),f9(f17(c31)))) ),
% 0.18/0.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.18/0.54 fof(f50,negated_conjecture,(
% 0.18/0.54 (![X42]: (( p2(f11(f4(X42),c34),f11(f4(c32),c34))| ~ p25(X42,c33)| ~ p25(c32,X42) ) ))),
% 0.18/0.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.18/0.54 fof(f61,plain,(
% 0.18/0.54 ![X0]: (p2(X0,X0))),
% 0.18/0.54 inference(cnf_transformation,[status(thm)],[f6])).
% 0.18/0.54 fof(f67,plain,(
% 0.18/0.54 p25(c36,c33)),
% 0.18/0.54 inference(cnf_transformation,[status(thm)],[f12])).
% 0.18/0.54 fof(f68,plain,(
% 0.18/0.54 p25(c32,c36)),
% 0.18/0.54 inference(cnf_transformation,[status(thm)],[f13])).
% 0.18/0.54 fof(f74,plain,(
% 0.18/0.54 ![X0]: (~p2(X0,f16(X0,f9(f17(c31)))))),
% 0.18/0.54 inference(cnf_transformation,[status(thm)],[f19])).
% 0.18/0.54 fof(f89,plain,(
% 0.18/0.54 ![X37,X35]: ((![X36]: (p2(X36,X37)|~p2(X35,X36)))|~p2(X35,X37))),
% 0.18/0.54 inference(miniscoping,[status(thm)],[f30])).
% 0.18/0.54 fof(f90,plain,(
% 0.18/0.54 ![X0,X1,X2]: (p2(X0,X1)|~p2(X2,X0)|~p2(X2,X1))),
% 0.18/0.54 inference(cnf_transformation,[status(thm)],[f89])).
% 0.18/0.54 fof(f108,plain,(
% 0.18/0.54 p2(f11(f4(c32),c34),f16(f11(f4(c36),c34),f9(f17(c31))))),
% 0.18/0.54 inference(cnf_transformation,[status(thm)],[f40])).
% 0.18/0.54 fof(f124,plain,(
% 0.18/0.54 ![X0]: (p2(f11(f4(X0),c34),f11(f4(c32),c34))|~p25(X0,c33)|~p25(c32,X0))),
% 0.18/0.54 inference(cnf_transformation,[status(thm)],[f50])).
% 0.18/0.54 fof(f135,plain,(
% 0.18/0.54 ![X0,X1]: (~p2(X0,X1)|~p2(X0,f16(X1,f9(f17(c31)))))),
% 0.18/0.54 inference(resolution,[status(thm)],[f90,f74])).
% 0.18/0.54 fof(f144,plain,(
% 0.18/0.54 ~p2(f11(f4(c32),c34),f11(f4(c36),c34))),
% 0.18/0.54 inference(resolution,[status(thm)],[f108,f135])).
% 0.18/0.54 fof(f198,plain,(
% 0.18/0.54 ![X0]: (~p2(X0,f11(f4(c32),c34))|~p2(X0,f11(f4(c36),c34)))),
% 0.18/0.54 inference(resolution,[status(thm)],[f144,f90])).
% 0.18/0.54 fof(f342,plain,(
% 0.18/0.54 ~p2(f11(f4(c36),c34),f11(f4(c32),c34))),
% 0.18/0.54 inference(resolution,[status(thm)],[f198,f61])).
% 0.18/0.54 fof(f418,plain,(
% 0.18/0.54 ~p25(c36,c33)|~p25(c32,c36)),
% 0.18/0.54 inference(resolution,[status(thm)],[f342,f124])).
% 0.18/0.54 fof(f424,definition,(
% 0.18/0.54 sQ12_spl <=> (p25(c32,c36))),
% 0.18/0.54 introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition])).
% 0.18/0.54 fof(f426,plain,(
% 0.18/0.54 ~p25(c32,c36)|sQ12_spl),
% 0.18/0.54 inference(component_clause,[status(thm)],[f424])).
% 0.18/0.54 fof(f428,definition,(
% 0.18/0.54 sQ13_spl <=> (p25(c36,c33))),
% 0.18/0.54 introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition])).
% 0.18/0.54 fof(f430,plain,(
% 0.18/0.54 ~p25(c36,c33)|sQ13_spl),
% 0.18/0.54 inference(component_clause,[status(thm)],[f428])).
% 0.18/0.54 fof(f431,plain,(
% 0.18/0.54 ~sQ13_spl|~sQ12_spl),
% 0.18/0.54 inference(split_clause,[status(thm)],[f418,f428,f424])).
% 0.18/0.54 fof(f436,plain,(
% 0.18/0.54 $false|sQ12_spl),
% 0.18/0.54 inference(forward_subsumption_resolution,[status(thm)],[f426,f68])).
% 0.18/0.54 fof(f437,plain,(
% 0.18/0.54 sQ12_spl),
% 0.18/0.54 inference(contradiction_clause,[status(thm)],[f436])).
% 0.18/0.54 fof(f438,plain,(
% 0.18/0.54 $false|sQ13_spl),
% 0.18/0.54 inference(forward_subsumption_resolution,[status(thm)],[f430,f67])).
% 0.18/0.54 fof(f439,plain,(
% 0.18/0.54 sQ13_spl),
% 0.18/0.54 inference(contradiction_clause,[status(thm)],[f438])).
% 0.18/0.54 fof(f440,plain,(
% 0.18/0.54 $false),
% 0.18/0.54 inference(sat_refutation,[status(thm)],[f431,f437,f439])).
% 0.18/0.54 % SZS output end CNFRefutation for theBenchmark.p
% 0.24/0.58 % Elapsed time: 0.128583 seconds
% 0.24/0.58 % CPU time: 0.372918 seconds
% 0.24/0.58 % Total memory used: 15.961 MB
% 0.24/0.58 % Net memory used: 15.310 MB
%------------------------------------------------------------------------------