%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SYN668-1 : 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 : n020.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 0.19s 0.49s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SYN668-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.06 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.43 % Computer : n020.cluster.edu
% 0.19/0.43 % Model : x86_64 x86_64
% 0.19/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.43 % Memory : 8046.5625MB
% 0.19/0.43 % OS : Linux 6.8.0-71-generic
% 0.19/0.43 % CPULimit : 300
% 0.19/0.43 % WCLimit : 300
% 0.19/0.43 % DateTime : Mon Sep 21 11:12:33 UTC 2026
% 0.19/0.44 % CPUTime :
% 0.19/0.45 % Drodi V4.1.1
% 0.19/0.49 % Refutation found
% 0.19/0.49 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.19/0.49 % SZS output start CNFRefutation for theBenchmark
% 0.19/0.49 fof(f7,negated_conjecture,(
% 0.19/0.49 (![X28]: (p2(X28,X28) ))),
% 0.19/0.49 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.49 fof(f12,negated_conjecture,(
% 0.19/0.49 p25(c33,c36) ),
% 0.19/0.49 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.49 fof(f14,negated_conjecture,(
% 0.19/0.49 p25(c32,c33) ),
% 0.19/0.49 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.49 fof(f18,negated_conjecture,(
% 0.19/0.49 (![X96]: (~ p2(X96,f18(X96,f9(f17(c31)))) ))),
% 0.19/0.49 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.49 fof(f30,negated_conjecture,(
% 0.19/0.49 (![X29,X30,X28]: (( p2(X29,X30)| ~ p2(X28,X29)| ~ p2(X28,X30) ) ))),
% 0.19/0.49 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.49 fof(f38,negated_conjecture,(
% 0.19/0.49 p2(f11(f4(c32),c34),f18(f11(f4(c33),c34),f9(f17(c31)))) ),
% 0.19/0.49 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.49 fof(f50,negated_conjecture,(
% 0.19/0.49 (![X36]: (( p2(f11(f4(X36),c34),f11(f4(c32),c34))| ~ p25(X36,c36)| ~ p25(c32,X36) ) ))),
% 0.19/0.49 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.49 fof(f61,plain,(
% 0.19/0.49 ![X0]: (p2(X0,X0))),
% 0.19/0.49 inference(cnf_transformation,[status(thm)],[f7])).
% 0.19/0.49 fof(f66,plain,(
% 0.19/0.49 p25(c33,c36)),
% 0.19/0.49 inference(cnf_transformation,[status(thm)],[f12])).
% 0.19/0.49 fof(f68,plain,(
% 0.19/0.49 p25(c32,c33)),
% 0.19/0.49 inference(cnf_transformation,[status(thm)],[f14])).
% 0.19/0.49 fof(f72,plain,(
% 0.19/0.49 ![X0]: (~p2(X0,f18(X0,f9(f17(c31)))))),
% 0.19/0.49 inference(cnf_transformation,[status(thm)],[f18])).
% 0.19/0.49 fof(f89,plain,(
% 0.19/0.49 ![X30,X28]: ((![X29]: (p2(X29,X30)|~p2(X28,X29)))|~p2(X28,X30))),
% 0.19/0.49 inference(miniscoping,[status(thm)],[f30])).
% 0.19/0.49 fof(f90,plain,(
% 0.19/0.49 ![X0,X1,X2]: (p2(X0,X1)|~p2(X2,X0)|~p2(X2,X1))),
% 0.19/0.49 inference(cnf_transformation,[status(thm)],[f89])).
% 0.19/0.49 fof(f105,plain,(
% 0.19/0.49 p2(f11(f4(c32),c34),f18(f11(f4(c33),c34),f9(f17(c31))))),
% 0.19/0.49 inference(cnf_transformation,[status(thm)],[f38])).
% 0.19/0.49 fof(f123,plain,(
% 0.19/0.49 ![X0]: (p2(f11(f4(X0),c34),f11(f4(c32),c34))|~p25(X0,c36)|~p25(c32,X0))),
% 0.19/0.49 inference(cnf_transformation,[status(thm)],[f50])).
% 0.19/0.49 fof(f133,plain,(
% 0.19/0.49 ![X0,X1]: (~p2(X0,X1)|~p2(X0,f18(X1,f9(f17(c31)))))),
% 0.19/0.49 inference(resolution,[status(thm)],[f90,f72])).
% 0.19/0.49 fof(f141,plain,(
% 0.19/0.49 ~p2(f11(f4(c32),c34),f11(f4(c33),c34))),
% 0.19/0.49 inference(resolution,[status(thm)],[f105,f133])).
% 0.19/0.49 fof(f163,plain,(
% 0.19/0.49 ![X0]: (~p2(X0,f11(f4(c32),c34))|~p2(X0,f11(f4(c33),c34)))),
% 0.19/0.49 inference(resolution,[status(thm)],[f141,f90])).
% 0.19/0.49 fof(f287,plain,(
% 0.19/0.49 ~p2(f11(f4(c33),c34),f11(f4(c32),c34))),
% 0.19/0.49 inference(resolution,[status(thm)],[f163,f61])).
% 0.19/0.49 fof(f302,plain,(
% 0.19/0.49 ~p25(c33,c36)|~p25(c32,c33)),
% 0.19/0.49 inference(resolution,[status(thm)],[f287,f123])).
% 0.19/0.49 fof(f306,definition,(
% 0.19/0.49 sQ7_spl <=> (p25(c33,c36))),
% 0.19/0.49 introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition])).
% 0.19/0.49 fof(f308,plain,(
% 0.19/0.49 ~p25(c33,c36)|sQ7_spl),
% 0.19/0.49 inference(component_clause,[status(thm)],[f306])).
% 0.19/0.49 fof(f309,definition,(
% 0.19/0.49 sQ8_spl <=> (p25(c32,c33))),
% 0.19/0.49 introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition])).
% 0.19/0.49 fof(f311,plain,(
% 0.19/0.49 ~p25(c32,c33)|sQ8_spl),
% 0.19/0.49 inference(component_clause,[status(thm)],[f309])).
% 0.19/0.49 fof(f312,plain,(
% 0.19/0.49 ~sQ7_spl|~sQ8_spl),
% 0.19/0.49 inference(split_clause,[status(thm)],[f302,f306,f309])).
% 0.19/0.49 fof(f321,plain,(
% 0.19/0.49 $false|sQ8_spl),
% 0.19/0.49 inference(forward_subsumption_resolution,[status(thm)],[f311,f68])).
% 0.19/0.49 fof(f322,plain,(
% 0.19/0.49 sQ8_spl),
% 0.19/0.49 inference(contradiction_clause,[status(thm)],[f321])).
% 0.19/0.49 fof(f323,plain,(
% 0.19/0.49 $false|sQ7_spl),
% 0.19/0.49 inference(forward_subsumption_resolution,[status(thm)],[f308,f66])).
% 0.19/0.49 fof(f324,plain,(
% 0.19/0.49 sQ7_spl),
% 0.19/0.49 inference(contradiction_clause,[status(thm)],[f323])).
% 0.19/0.49 fof(f325,plain,(
% 0.19/0.49 $false),
% 0.19/0.49 inference(sat_refutation,[status(thm)],[f312,f322,f324])).
% 0.19/0.49 % SZS output end CNFRefutation for theBenchmark.p
% 0.19/0.53 % Elapsed time: 0.069875 seconds
% 0.19/0.53 % CPU time: 0.268698 seconds
% 0.19/0.53 % Total memory used: 20.120 MB
% 0.19/0.53 % Net memory used: 19.815 MB
%------------------------------------------------------------------------------