%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SYN665-1 : 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 : n007.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 03:20:19 PM UTC 2026
% Result : Unsatisfiable 0.11s 0.41s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN665-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.36 % Computer : n007.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % OS : Linux 6.8.0-71-generic
% 0.11/0.36 % CPULimit : 300
% 0.11/0.36 % WCLimit : 300
% 0.11/0.36 % DateTime : Mon Sep 21 11:09:36 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 % Drodi V4.1.1
% 0.11/0.41 % Refutation found
% 0.11/0.41 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.11/0.41 % SZS output start CNFRefutation for theBenchmark
% 0.11/0.41 fof(f7,negated_conjecture,(
% 0.11/0.41 (![X28]: (p2(X28,X28) ))),
% 0.11/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.41 fof(f12,negated_conjecture,(
% 0.11/0.41 p25(c36,c33) ),
% 0.11/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.41 fof(f13,negated_conjecture,(
% 0.11/0.41 p25(c32,c36) ),
% 0.11/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.41 fof(f19,negated_conjecture,(
% 0.11/0.41 (![X96]: (~ p2(X96,f16(X96,f9(f17(c31)))) ))),
% 0.11/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.41 fof(f31,negated_conjecture,(
% 0.11/0.41 (![X29,X30,X28]: (( p2(X29,X30)| ~ p2(X28,X29)| ~ p2(X28,X30) ) ))),
% 0.11/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.41 fof(f40,negated_conjecture,(
% 0.11/0.41 p2(f11(f4(c32),c34),f16(f11(f4(c36),c34),f9(f17(c31)))) ),
% 0.11/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.41 fof(f49,negated_conjecture,(
% 0.11/0.41 (![X35]: (( p2(f11(f4(X35),c34),f11(f4(c32),c34))| ~ p25(X35,c33)| ~ p25(c32,X35) ) ))),
% 0.11/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.41 fof(f61,plain,(
% 0.11/0.41 ![X0]: (p2(X0,X0))),
% 0.11/0.41 inference(cnf_transformation,[status(thm)],[f7])).
% 0.11/0.41 fof(f66,plain,(
% 0.11/0.41 p25(c36,c33)),
% 0.11/0.41 inference(cnf_transformation,[status(thm)],[f12])).
% 0.11/0.41 fof(f67,plain,(
% 0.11/0.41 p25(c32,c36)),
% 0.11/0.41 inference(cnf_transformation,[status(thm)],[f13])).
% 0.11/0.41 fof(f73,plain,(
% 0.11/0.41 ![X0]: (~p2(X0,f16(X0,f9(f17(c31)))))),
% 0.11/0.41 inference(cnf_transformation,[status(thm)],[f19])).
% 0.11/0.41 fof(f90,plain,(
% 0.11/0.41 ![X30,X28]: ((![X29]: (p2(X29,X30)|~p2(X28,X29)))|~p2(X28,X30))),
% 0.11/0.41 inference(miniscoping,[status(thm)],[f31])).
% 0.11/0.41 fof(f91,plain,(
% 0.11/0.41 ![X0,X1,X2]: (p2(X0,X1)|~p2(X2,X0)|~p2(X2,X1))),
% 0.11/0.41 inference(cnf_transformation,[status(thm)],[f90])).
% 0.11/0.41 fof(f107,plain,(
% 0.11/0.41 p2(f11(f4(c32),c34),f16(f11(f4(c36),c34),f9(f17(c31))))),
% 0.11/0.41 inference(cnf_transformation,[status(thm)],[f40])).
% 0.11/0.41 fof(f122,plain,(
% 0.11/0.41 ![X0]: (p2(f11(f4(X0),c34),f11(f4(c32),c34))|~p25(X0,c33)|~p25(c32,X0))),
% 0.11/0.41 inference(cnf_transformation,[status(thm)],[f49])).
% 0.11/0.41 fof(f133,plain,(
% 0.11/0.41 ![X0,X1]: (~p2(X0,X1)|~p2(X0,f16(X1,f9(f17(c31)))))),
% 0.11/0.41 inference(resolution,[status(thm)],[f91,f73])).
% 0.11/0.41 fof(f142,plain,(
% 0.11/0.41 ~p2(f11(f4(c32),c34),f11(f4(c36),c34))),
% 0.11/0.41 inference(resolution,[status(thm)],[f107,f133])).
% 0.11/0.41 fof(f180,plain,(
% 0.11/0.41 ![X0]: (~p2(X0,f11(f4(c32),c34))|~p2(X0,f11(f4(c36),c34)))),
% 0.11/0.41 inference(resolution,[status(thm)],[f142,f91])).
% 0.11/0.41 fof(f271,plain,(
% 0.11/0.41 ~p2(f11(f4(c36),c34),f11(f4(c32),c34))),
% 0.11/0.41 inference(resolution,[status(thm)],[f180,f61])).
% 0.11/0.41 fof(f316,plain,(
% 0.11/0.41 ~p25(c36,c33)|~p25(c32,c36)),
% 0.11/0.41 inference(resolution,[status(thm)],[f271,f122])).
% 0.11/0.41 fof(f322,definition,(
% 0.11/0.41 sQ8_spl <=> (p25(c32,c36))),
% 0.11/0.41 introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition])).
% 0.11/0.41 fof(f324,plain,(
% 0.11/0.41 ~p25(c32,c36)|sQ8_spl),
% 0.11/0.41 inference(component_clause,[status(thm)],[f322])).
% 0.11/0.41 fof(f326,definition,(
% 0.11/0.41 sQ9_spl <=> (p25(c36,c33))),
% 0.11/0.41 introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition])).
% 0.11/0.41 fof(f328,plain,(
% 0.11/0.41 ~p25(c36,c33)|sQ9_spl),
% 0.11/0.41 inference(component_clause,[status(thm)],[f326])).
% 0.11/0.41 fof(f329,plain,(
% 0.11/0.41 ~sQ9_spl|~sQ8_spl),
% 0.11/0.41 inference(split_clause,[status(thm)],[f316,f326,f322])).
% 0.11/0.41 fof(f334,plain,(
% 0.11/0.41 $false|sQ8_spl),
% 0.11/0.41 inference(forward_subsumption_resolution,[status(thm)],[f324,f67])).
% 0.11/0.41 fof(f335,plain,(
% 0.11/0.41 sQ8_spl),
% 0.11/0.41 inference(contradiction_clause,[status(thm)],[f334])).
% 0.11/0.41 fof(f336,plain,(
% 0.11/0.41 $false|sQ9_spl),
% 0.11/0.41 inference(forward_subsumption_resolution,[status(thm)],[f328,f66])).
% 0.11/0.41 fof(f337,plain,(
% 0.11/0.41 sQ9_spl),
% 0.11/0.41 inference(contradiction_clause,[status(thm)],[f336])).
% 0.11/0.41 fof(f338,plain,(
% 0.11/0.41 $false),
% 0.11/0.41 inference(sat_refutation,[status(thm)],[f329,f335,f337])).
% 0.11/0.41 % SZS output end CNFRefutation for theBenchmark.p
% 0.11/0.42 % Elapsed time: 0.050858 seconds
% 0.11/0.42 % CPU time: 0.219011 seconds
% 0.11/0.42 % Total memory used: 16.372 MB
% 0.11/0.42 % Net memory used: 15.749 MB
%------------------------------------------------------------------------------