%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SYN672-1 : 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 : n008.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 0.11s 0.40s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN672-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.36 % Computer : n008.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 11:12:42 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.38 % 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(f3,negated_conjecture,(
% 0.11/0.40 (![X98]: (p8(X98,X98) ))),
% 0.11/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.40 fof(f6,negated_conjecture,(
% 0.11/0.40 (![X62]: (p3(X62,X62) ))),
% 0.11/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.40 fof(f18,negated_conjecture,(
% 0.11/0.40 ~ p3(c40,f14(c38,c39)) ),
% 0.11/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.40 fof(f19,negated_conjecture,(
% 0.11/0.40 p31(f20(c36,c39),f17(c37,c40)) ),
% 0.11/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.40 fof(f37,negated_conjecture,(
% 0.11/0.40 (![X77,X78]: (p3(f4(f7(c34,X77),f14(c38,X78)),f14(X77,X78)) ))),
% 0.11/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.40 fof(f39,negated_conjecture,(
% 0.11/0.40 (![X82,X83,X85,X84]: (( p30(X82,X83)| ~ p30(X85,X84)| ~ p9(X85,X82)| ~ p3(X84,X83) ) ))),
% 0.11/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.40 fof(f40,negated_conjecture,(
% 0.11/0.40 ~ p30(f10(f12(c32,c33),f14(c35,c39)),f4(f7(c34,c35),c40)) ),
% 0.11/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.40 fof(f42,negated_conjecture,(
% 0.11/0.40 (![X108,X109,X110,X111]: (( p9(f10(X108,X109),f10(X110,X111))| ~ p3(X109,X111)| ~ p8(X108,X110) ) ))),
% 0.11/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.40 fof(f53,negated_conjecture,(
% 0.11/0.40 (![X60,X61]: (( p3(X60,f14(c38,X61))| p30(f10(f12(c32,c33),f14(c38,X61)),X60)| ~ p31(f20(c36,X61),f17(c37,X60)) ) ))),
% 0.11/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.40 fof(f54,negated_conjecture,(
% 0.11/0.40 (![X86,X87]: (( p30(f10(f12(c32,c33),f4(f7(c34,c35),X86)),f4(f7(c34,c35),X87))| ~ p30(f10(f12(c32,c33),X86),X87) ) ))),
% 0.11/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.40 fof(f57,plain,(
% 0.11/0.40 ![X0]: (p8(X0,X0))),
% 0.11/0.40 inference(cnf_transformation,[status(thm)],[f3])).
% 0.11/0.40 fof(f60,plain,(
% 0.11/0.40 ![X0]: (p3(X0,X0))),
% 0.11/0.40 inference(cnf_transformation,[status(thm)],[f6])).
% 0.11/0.40 fof(f72,plain,(
% 0.11/0.40 ~p3(c40,f14(c38,c39))),
% 0.11/0.40 inference(cnf_transformation,[status(thm)],[f18])).
% 0.11/0.40 fof(f73,plain,(
% 0.11/0.40 p31(f20(c36,c39),f17(c37,c40))),
% 0.11/0.40 inference(cnf_transformation,[status(thm)],[f19])).
% 0.11/0.40 fof(f108,plain,(
% 0.11/0.40 ![X0,X1]: (p3(f4(f7(c34,X0),f14(c38,X1)),f14(X0,X1)))),
% 0.11/0.40 inference(cnf_transformation,[status(thm)],[f37])).
% 0.11/0.40 fof(f111,plain,(
% 0.11/0.40 ![X83,X84]: ((![X82,X85]: ((p30(X82,X83)|~p30(X85,X84))|~p9(X85,X82)))|~p3(X84,X83))),
% 0.11/0.40 inference(miniscoping,[status(thm)],[f39])).
% 0.11/0.40 fof(f112,plain,(
% 0.11/0.40 ![X0,X1,X2,X3]: (p30(X0,X1)|~p30(X2,X3)|~p9(X2,X0)|~p3(X3,X1))),
% 0.11/0.40 inference(cnf_transformation,[status(thm)],[f111])).
% 0.11/0.40 fof(f113,plain,(
% 0.11/0.40 ~p30(f10(f12(c32,c33),f14(c35,c39)),f4(f7(c34,c35),c40))),
% 0.11/0.40 inference(cnf_transformation,[status(thm)],[f40])).
% 0.11/0.40 fof(f116,plain,(
% 0.11/0.40 ![X108,X110]: ((![X109,X111]: (p9(f10(X108,X109),f10(X110,X111))|~p3(X109,X111)))|~p8(X108,X110))),
% 0.11/0.40 inference(miniscoping,[status(thm)],[f42])).
% 0.11/0.40 fof(f117,plain,(
% 0.11/0.40 ![X0,X1,X2,X3]: (p9(f10(X0,X1),f10(X2,X3))|~p3(X1,X3)|~p8(X0,X2))),
% 0.11/0.40 inference(cnf_transformation,[status(thm)],[f116])).
% 0.11/0.40 fof(f137,plain,(
% 0.11/0.40 ![X0,X1]: (p3(X0,f14(c38,X1))|p30(f10(f12(c32,c33),f14(c38,X1)),X0)|~p31(f20(c36,X1),f17(c37,X0)))),
% 0.11/0.40 inference(cnf_transformation,[status(thm)],[f53])).
% 0.11/0.40 fof(f138,plain,(
% 0.11/0.40 ![X0,X1]: (p30(f10(f12(c32,c33),f4(f7(c34,c35),X0)),f4(f7(c34,c35),X1))|~p30(f10(f12(c32,c33),X0),X1))),
% 0.11/0.40 inference(cnf_transformation,[status(thm)],[f54])).
% 0.11/0.40 fof(f142,plain,(
% 0.11/0.40 p3(c40,f14(c38,c39))|p30(f10(f12(c32,c33),f14(c38,c39)),c40)),
% 0.11/0.40 inference(resolution,[status(thm)],[f73,f137])).
% 0.11/0.40 fof(f143,definition,(
% 0.11/0.40 sQ0_spl <=> (p3(c40,f14(c38,c39)))),
% 0.11/0.40 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.11/0.40 fof(f144,plain,(
% 0.11/0.40 p3(c40,f14(c38,c39))|~sQ0_spl),
% 0.11/0.40 inference(component_clause,[status(thm)],[f143])).
% 0.11/0.40 fof(f146,definition,(
% 0.11/0.40 sQ1_spl <=> (p30(f10(f12(c32,c33),f14(c38,c39)),c40))),
% 0.11/0.40 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.11/0.40 fof(f147,plain,(
% 0.11/0.40 p30(f10(f12(c32,c33),f14(c38,c39)),c40)|~sQ1_spl),
% 0.11/0.40 inference(component_clause,[status(thm)],[f146])).
% 0.11/0.40 fof(f149,plain,(
% 0.11/0.40 sQ0_spl|sQ1_spl),
% 0.11/0.40 inference(split_clause,[status(thm)],[f142,f143,f146])).
% 0.11/0.41 fof(f150,plain,(
% 0.11/0.41 $false|~sQ0_spl),
% 0.11/0.41 inference(forward_subsumption_resolution,[status(thm)],[f144,f72])).
% 0.11/0.41 fof(f151,plain,(
% 0.11/0.41 ~sQ0_spl),
% 0.11/0.41 inference(contradiction_clause,[status(thm)],[f150])).
% 0.11/0.41 fof(f169,plain,(
% 0.11/0.41 ![X0,X1,X2,X3]: (p9(f10(X0,f4(f7(c34,X1),f14(c38,X2))),f10(X3,f14(X1,X2)))|~p8(X0,X3))),
% 0.11/0.41 inference(resolution,[status(thm)],[f117,f108])).
% 0.11/0.41 fof(f198,plain,(
% 0.11/0.41 p30(f10(f12(c32,c33),f4(f7(c34,c35),f14(c38,c39))),f4(f7(c34,c35),c40))|~sQ1_spl),
% 0.11/0.41 inference(resolution,[status(thm)],[f147,f138])).
% 0.11/0.41 fof(f202,plain,(
% 0.11/0.41 ![X0,X1,X2]: (p9(f10(X0,f4(f7(c34,X1),f14(c38,X2))),f10(X0,f14(X1,X2))))),
% 0.11/0.41 inference(resolution,[status(thm)],[f169,f57])).
% 0.11/0.41 fof(f218,plain,(
% 0.11/0.41 ![X0,X1]: (p30(X0,X1)|~p9(f10(f12(c32,c33),f4(f7(c34,c35),f14(c38,c39))),X0)|~p3(f4(f7(c34,c35),c40),X1)|~sQ1_spl)),
% 0.11/0.41 inference(resolution,[status(thm)],[f198,f112])).
% 0.11/0.41 fof(f260,plain,(
% 0.11/0.41 ![X0]: (p30(f10(f12(c32,c33),f14(c35,c39)),X0)|~p3(f4(f7(c34,c35),c40),X0)|~sQ1_spl)),
% 0.11/0.41 inference(resolution,[status(thm)],[f218,f202])).
% 0.11/0.41 fof(f315,plain,(
% 0.11/0.41 p30(f10(f12(c32,c33),f14(c35,c39)),f4(f7(c34,c35),c40))|~sQ1_spl),
% 0.11/0.41 inference(resolution,[status(thm)],[f260,f60])).
% 0.11/0.41 fof(f316,plain,(
% 0.11/0.41 $false|~sQ1_spl),
% 0.11/0.41 inference(forward_subsumption_resolution,[status(thm)],[f315,f113])).
% 0.11/0.41 fof(f317,plain,(
% 0.11/0.41 ~sQ1_spl),
% 0.11/0.41 inference(contradiction_clause,[status(thm)],[f316])).
% 0.11/0.41 fof(f318,plain,(
% 0.11/0.41 $false),
% 0.11/0.41 inference(sat_refutation,[status(thm)],[f149,f151,f317])).
% 0.11/0.41 % SZS output end CNFRefutation for theBenchmark.p
% 0.11/0.43 % Elapsed time: 0.050232 seconds
% 0.11/0.43 % CPU time: 0.151078 seconds
% 0.11/0.43 % Total memory used: 19.705 MB
% 0.11/0.43 % Net memory used: 19.614 MB
%------------------------------------------------------------------------------