%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SYN667-1 : 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 : n016.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 0.12s 0.40s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN667-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n016.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 11:16:25 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.12/0.36 % Drodi V4.1.1
% 0.12/0.40 % Refutation found
% 0.12/0.40 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.12/0.40 % SZS output start CNFRefutation for theBenchmark
% 0.12/0.40 fof(f7,negated_conjecture,(
% 0.12/0.40 (![X28]: (p2(X28,X28) ))),
% 0.12/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.40 fof(f12,negated_conjecture,(
% 0.12/0.40 p25(c36,c33) ),
% 0.12/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.40 fof(f13,negated_conjecture,(
% 0.12/0.40 p25(c32,c36) ),
% 0.12/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.40 fof(f18,negated_conjecture,(
% 0.12/0.40 (![X96]: (~ p2(X96,f18(X96,f9(f17(c31)))) ))),
% 0.12/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.40 fof(f30,negated_conjecture,(
% 0.12/0.40 (![X29,X30,X28]: (( p2(X29,X30)| ~ p2(X28,X29)| ~ p2(X28,X30) ) ))),
% 0.12/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.40 fof(f39,negated_conjecture,(
% 0.12/0.40 p2(f11(f4(c32),c34),f18(f11(f4(c36),c34),f9(f17(c31)))) ),
% 0.12/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.40 fof(f49,negated_conjecture,(
% 0.12/0.40 (![X35]: (( p2(f11(f4(X35),c34),f11(f4(c32),c34))| ~ p25(X35,c33)| ~ p25(c32,X35) ) ))),
% 0.12/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.40 fof(f61,plain,(
% 0.12/0.40 ![X0]: (p2(X0,X0))),
% 0.12/0.40 inference(cnf_transformation,[status(thm)],[f7])).
% 0.12/0.40 fof(f66,plain,(
% 0.12/0.40 p25(c36,c33)),
% 0.12/0.40 inference(cnf_transformation,[status(thm)],[f12])).
% 0.12/0.40 fof(f67,plain,(
% 0.12/0.40 p25(c32,c36)),
% 0.12/0.40 inference(cnf_transformation,[status(thm)],[f13])).
% 0.12/0.40 fof(f72,plain,(
% 0.12/0.40 ![X0]: (~p2(X0,f18(X0,f9(f17(c31)))))),
% 0.12/0.40 inference(cnf_transformation,[status(thm)],[f18])).
% 0.12/0.40 fof(f89,plain,(
% 0.12/0.40 ![X30,X28]: ((![X29]: (p2(X29,X30)|~p2(X28,X29)))|~p2(X28,X30))),
% 0.12/0.40 inference(miniscoping,[status(thm)],[f30])).
% 0.12/0.40 fof(f90,plain,(
% 0.12/0.40 ![X0,X1,X2]: (p2(X0,X1)|~p2(X2,X0)|~p2(X2,X1))),
% 0.12/0.40 inference(cnf_transformation,[status(thm)],[f89])).
% 0.12/0.40 fof(f106,plain,(
% 0.12/0.40 p2(f11(f4(c32),c34),f18(f11(f4(c36),c34),f9(f17(c31))))),
% 0.12/0.40 inference(cnf_transformation,[status(thm)],[f39])).
% 0.12/0.40 fof(f122,plain,(
% 0.12/0.40 ![X0]: (p2(f11(f4(X0),c34),f11(f4(c32),c34))|~p25(X0,c33)|~p25(c32,X0))),
% 0.12/0.40 inference(cnf_transformation,[status(thm)],[f49])).
% 0.12/0.40 fof(f159,plain,(
% 0.12/0.40 ![X0,X1]: (p2(X0,X1)|~p2(X1,X0))),
% 0.12/0.40 inference(resolution,[status(thm)],[f90,f61])).
% 0.12/0.40 fof(f183,plain,(
% 0.12/0.40 ![X0]: (p2(X0,f18(f11(f4(c36),c34),f9(f17(c31))))|~p2(f11(f4(c32),c34),X0))),
% 0.12/0.40 inference(resolution,[status(thm)],[f106,f90])).
% 0.12/0.40 fof(f242,plain,(
% 0.12/0.40 p2(f11(f4(c36),c34),f11(f4(c32),c34))|~p25(c36,c33)),
% 0.12/0.40 inference(resolution,[status(thm)],[f122,f67])).
% 0.12/0.40 fof(f250,definition,(
% 0.12/0.40 sQ2_spl <=> (p2(f11(f4(c36),c34),f11(f4(c32),c34)))),
% 0.12/0.40 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.12/0.40 fof(f251,plain,(
% 0.12/0.40 p2(f11(f4(c36),c34),f11(f4(c32),c34))|~sQ2_spl),
% 0.12/0.40 inference(component_clause,[status(thm)],[f250])).
% 0.12/0.40 fof(f253,definition,(
% 0.12/0.40 sQ3_spl <=> (p25(c36,c33))),
% 0.12/0.40 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.12/0.40 fof(f255,plain,(
% 0.12/0.40 ~p25(c36,c33)|sQ3_spl),
% 0.12/0.40 inference(component_clause,[status(thm)],[f253])).
% 0.12/0.40 fof(f256,plain,(
% 0.12/0.40 sQ2_spl|~sQ3_spl),
% 0.12/0.40 inference(split_clause,[status(thm)],[f242,f250,f253])).
% 0.12/0.40 fof(f631,plain,(
% 0.12/0.40 p2(f11(f4(c32),c34),f11(f4(c36),c34))|~sQ2_spl),
% 0.12/0.40 inference(resolution,[status(thm)],[f251,f159])).
% 0.12/0.40 fof(f759,plain,(
% 0.12/0.40 p2(f11(f4(c36),c34),f18(f11(f4(c36),c34),f9(f17(c31))))|~sQ2_spl),
% 0.12/0.40 inference(resolution,[status(thm)],[f631,f183])).
% 0.12/0.40 fof(f781,plain,(
% 0.12/0.40 $false|~sQ2_spl),
% 0.12/0.40 inference(forward_subsumption_resolution,[status(thm)],[f759,f72])).
% 0.12/0.40 fof(f782,plain,(
% 0.12/0.40 ~sQ2_spl),
% 0.12/0.40 inference(contradiction_clause,[status(thm)],[f781])).
% 0.12/0.40 fof(f783,plain,(
% 0.12/0.40 $false|sQ3_spl),
% 0.12/0.40 inference(forward_subsumption_resolution,[status(thm)],[f255,f66])).
% 0.12/0.40 fof(f784,plain,(
% 0.12/0.40 sQ3_spl),
% 0.12/0.40 inference(contradiction_clause,[status(thm)],[f783])).
% 0.12/0.40 fof(f785,plain,(
% 0.12/0.40 $false),
% 0.12/0.40 inference(sat_refutation,[status(thm)],[f256,f782,f784])).
% 0.12/0.40 % SZS output end CNFRefutation for theBenchmark.p
% 0.12/0.42 % Elapsed time: 0.059363 seconds
% 0.12/0.42 % CPU time: 0.219267 seconds
% 0.12/0.42 % Total memory used: 21.919 MB
% 0.12/0.42 % Net memory used: 21.400 MB
%------------------------------------------------------------------------------