%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SYN670-1 : 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 : n013.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 0.40s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN670-1 : 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 : n013.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 11:11:36 UTC 2026
% 0.11/0.36 % CPUTime :
% 0.11/0.37 % Drodi V4.1.1
% 0.11/0.40 % Refutation found
% 0.11/0.40 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.11/0.40 % SZS output start CNFRefutation for theBenchmark
% 0.11/0.40 fof(f7,negated_conjecture,(
% 0.11/0.40 (![X28]: (p2(X28,X28) ))),
% 0.11/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.40 fof(f11,negated_conjecture,(
% 0.11/0.40 p25(c32,c33) ),
% 0.11/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.40 fof(f12,negated_conjecture,(
% 0.11/0.40 p25(c33,c36) ),
% 0.11/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.40 fof(f18,negated_conjecture,(
% 0.11/0.40 (![X96]: (~ p2(X96,f18(X96,f9(f17(c31)))) ))),
% 0.11/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.40 fof(f30,negated_conjecture,(
% 0.11/0.40 (![X29,X30,X28]: (( p2(X29,X30)| ~ p2(X28,X29)| ~ p2(X28,X30) ) ))),
% 0.11/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.40 fof(f38,negated_conjecture,(
% 0.11/0.40 p2(f11(f4(c32),c34),f18(f11(f4(c33),c34),f9(f17(c31)))) ),
% 0.11/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.40 fof(f50,negated_conjecture,(
% 0.11/0.40 (![X36]: (( p2(f11(f4(X36),c34),f11(f4(c32),c34))| ~ p25(X36,c36)| ~ p25(c32,X36) ) ))),
% 0.11/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.40 fof(f61,plain,(
% 0.11/0.40 ![X0]: (p2(X0,X0))),
% 0.11/0.40 inference(cnf_transformation,[status(thm)],[f7])).
% 0.11/0.40 fof(f65,plain,(
% 0.11/0.40 p25(c32,c33)),
% 0.11/0.40 inference(cnf_transformation,[status(thm)],[f11])).
% 0.11/0.40 fof(f66,plain,(
% 0.11/0.40 p25(c33,c36)),
% 0.11/0.40 inference(cnf_transformation,[status(thm)],[f12])).
% 0.11/0.40 fof(f72,plain,(
% 0.11/0.40 ![X0]: (~p2(X0,f18(X0,f9(f17(c31)))))),
% 0.11/0.40 inference(cnf_transformation,[status(thm)],[f18])).
% 0.11/0.40 fof(f89,plain,(
% 0.11/0.40 ![X30,X28]: ((![X29]: (p2(X29,X30)|~p2(X28,X29)))|~p2(X28,X30))),
% 0.11/0.40 inference(miniscoping,[status(thm)],[f30])).
% 0.11/0.40 fof(f90,plain,(
% 0.11/0.40 ![X0,X1,X2]: (p2(X0,X1)|~p2(X2,X0)|~p2(X2,X1))),
% 0.11/0.40 inference(cnf_transformation,[status(thm)],[f89])).
% 0.11/0.40 fof(f105,plain,(
% 0.11/0.40 p2(f11(f4(c32),c34),f18(f11(f4(c33),c34),f9(f17(c31))))),
% 0.11/0.40 inference(cnf_transformation,[status(thm)],[f38])).
% 0.11/0.40 fof(f123,plain,(
% 0.11/0.40 ![X0]: (p2(f11(f4(X0),c34),f11(f4(c32),c34))|~p25(X0,c36)|~p25(c32,X0))),
% 0.11/0.40 inference(cnf_transformation,[status(thm)],[f50])).
% 0.11/0.40 fof(f209,plain,(
% 0.11/0.40 p2(f11(f4(c33),c34),f11(f4(c32),c34))|~p25(c32,c33)),
% 0.11/0.40 inference(resolution,[status(thm)],[f123,f66])).
% 0.11/0.40 fof(f211,definition,(
% 0.11/0.40 sQ2_spl <=> (p2(f11(f4(c33),c34),f11(f4(c32),c34)))),
% 0.11/0.40 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.11/0.40 fof(f212,plain,(
% 0.11/0.40 p2(f11(f4(c33),c34),f11(f4(c32),c34))|~sQ2_spl),
% 0.11/0.40 inference(component_clause,[status(thm)],[f211])).
% 0.11/0.40 fof(f214,definition,(
% 0.11/0.40 sQ3_spl <=> (p25(c32,c33))),
% 0.11/0.40 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.11/0.40 fof(f216,plain,(
% 0.11/0.40 ~p25(c32,c33)|sQ3_spl),
% 0.11/0.40 inference(component_clause,[status(thm)],[f214])).
% 0.11/0.40 fof(f217,plain,(
% 0.11/0.40 sQ2_spl|~sQ3_spl),
% 0.11/0.40 inference(split_clause,[status(thm)],[f209,f211,f214])).
% 0.11/0.40 fof(f354,plain,(
% 0.11/0.40 ![X0]: (p2(f11(f4(c32),c34),X0)|~p2(f11(f4(c33),c34),X0)|~sQ2_spl)),
% 0.11/0.40 inference(resolution,[status(thm)],[f212,f90])).
% 0.11/0.40 fof(f477,plain,(
% 0.11/0.40 p2(f11(f4(c32),c34),f11(f4(c33),c34))|~sQ2_spl),
% 0.11/0.40 inference(resolution,[status(thm)],[f354,f61])).
% 0.11/0.40 fof(f492,plain,(
% 0.11/0.40 ![X0]: (p2(f11(f4(c33),c34),X0)|~p2(f11(f4(c32),c34),X0)|~sQ2_spl)),
% 0.11/0.40 inference(resolution,[status(thm)],[f477,f90])).
% 0.11/0.40 fof(f634,plain,(
% 0.11/0.40 p2(f11(f4(c33),c34),f18(f11(f4(c33),c34),f9(f17(c31))))|~sQ2_spl),
% 0.11/0.40 inference(resolution,[status(thm)],[f492,f105])).
% 0.11/0.40 fof(f636,plain,(
% 0.11/0.40 $false|~sQ2_spl),
% 0.11/0.40 inference(forward_subsumption_resolution,[status(thm)],[f634,f72])).
% 0.11/0.40 fof(f637,plain,(
% 0.11/0.40 ~sQ2_spl),
% 0.11/0.40 inference(contradiction_clause,[status(thm)],[f636])).
% 0.11/0.40 fof(f638,plain,(
% 0.11/0.40 $false|sQ3_spl),
% 0.11/0.40 inference(forward_subsumption_resolution,[status(thm)],[f216,f65])).
% 0.11/0.40 fof(f639,plain,(
% 0.11/0.40 sQ3_spl),
% 0.11/0.40 inference(contradiction_clause,[status(thm)],[f638])).
% 0.11/0.40 fof(f640,plain,(
% 0.11/0.40 $false),
% 0.11/0.40 inference(sat_refutation,[status(thm)],[f217,f637,f639])).
% 0.11/0.40 % SZS output end CNFRefutation for theBenchmark.p
% 0.11/0.43 % Elapsed time: 0.052497 seconds
% 0.11/0.43 % CPU time: 0.149723 seconds
% 0.11/0.43 % Total memory used: 20.091 MB
% 0.11/0.43 % Net memory used: 19.912 MB
%------------------------------------------------------------------------------