%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SYN098-1.002 : TPTP v9.3.1. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n005.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 03:18:57 PM UTC 2026
% Result : Unsatisfiable 0.17s 0.44s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SYN098-1.002 : TPTP v9.3.1. Bugfixed v1.2.1.
% 0.00/0.06 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.17/0.42 % Computer : n005.cluster.edu
% 0.17/0.42 % Model : x86_64 x86_64
% 0.17/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.42 % Memory : 8046.5625MB
% 0.17/0.42 % OS : Linux 6.8.0-71-generic
% 0.17/0.42 % CPULimit : 300
% 0.17/0.42 % WCLimit : 300
% 0.17/0.42 % DateTime : Mon Sep 21 10:43:17 UTC 2026
% 0.17/0.42 % CPUTime :
% 0.17/0.43 % Drodi V4.1.1
% 0.17/0.44 % Refutation found
% 0.17/0.44 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.17/0.44 % SZS output start CNFRefutation for theBenchmark
% 0.17/0.44 fof(f1,negated_conjecture,(
% 0.17/0.44 ( u_1| ~ p_0| ~ q_0 ) ),
% 0.17/0.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.17/0.44 fof(f2,axiom,(
% 0.17/0.44 ~ u_1 ),
% 0.17/0.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.17/0.44 fof(f4,axiom,(
% 0.17/0.44 ( p_0| ~ u_2 ) ),
% 0.17/0.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.17/0.44 fof(f5,axiom,(
% 0.17/0.44 ( u_3| p_0| ~ q_1| ~ q_2 ) ),
% 0.17/0.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.17/0.44 fof(f6,axiom,(
% 0.17/0.44 ( p_0| ~ u_3 ) ),
% 0.17/0.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.17/0.44 fof(f9,axiom,(
% 0.17/0.44 ( u_5| p_1| ~ q_2| ~ q_3 ) ),
% 0.17/0.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.17/0.44 fof(f10,axiom,(
% 0.17/0.44 ( p_1| ~ u_5 ) ),
% 0.17/0.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.17/0.44 fof(f12,axiom,(
% 0.17/0.44 ( q_0| ~ u_6 ) ),
% 0.17/0.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.17/0.44 fof(f13,axiom,(
% 0.17/0.44 ( u_7| q_0| ~ q_1| ~ p_2 ) ),
% 0.17/0.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.17/0.44 fof(f14,axiom,(
% 0.17/0.44 ( q_0| ~ u_7 ) ),
% 0.17/0.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.17/0.44 fof(f15,axiom,(
% 0.17/0.44 ( u_8| q_1| ~ p_2| ~ q_3 ) ),
% 0.17/0.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.17/0.44 fof(f16,axiom,(
% 0.17/0.44 ( q_1| ~ u_8 ) ),
% 0.17/0.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.17/0.44 fof(f17,axiom,(
% 0.17/0.44 ( u_9| q_1| ~ q_2| ~ p_3 ) ),
% 0.17/0.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.17/0.44 fof(f18,axiom,(
% 0.17/0.44 ( q_1| ~ u_9 ) ),
% 0.17/0.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.17/0.44 fof(f19,axiom,(
% 0.17/0.44 ( u_10| p_3| ~ p_1 ) ),
% 0.17/0.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.17/0.44 fof(f20,axiom,(
% 0.17/0.44 ( p_3| ~ u_10 ) ),
% 0.17/0.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.17/0.44 fof(f27,axiom,(
% 0.17/0.44 ( u_14| p_2 ) ),
% 0.17/0.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.17/0.44 fof(f28,axiom,(
% 0.17/0.44 ( p_2| ~ u_14 ) ),
% 0.17/0.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.17/0.44 fof(f31,axiom,(
% 0.17/0.44 ( u_16| q_2 ) ),
% 0.17/0.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.17/0.44 fof(f32,axiom,(
% 0.17/0.44 ( q_2| ~ u_16 ) ),
% 0.17/0.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.17/0.44 fof(f33,axiom,(
% 0.17/0.44 ( u_17| q_3 ) ),
% 0.17/0.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.17/0.44 fof(f34,axiom,(
% 0.17/0.44 ( q_3| ~ u_17 ) ),
% 0.17/0.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.17/0.44 fof(f69,plain,(
% 0.17/0.44 u_1|~p_0|~q_0),
% 0.17/0.44 inference(cnf_transformation,[status(thm)],[f1])).
% 0.17/0.44 fof(f70,plain,(
% 0.17/0.44 ~u_1),
% 0.17/0.44 inference(cnf_transformation,[status(thm)],[f2])).
% 0.17/0.44 fof(f72,plain,(
% 0.17/0.44 p_0|~u_2),
% 0.17/0.44 inference(cnf_transformation,[status(thm)],[f4])).
% 0.17/0.44 fof(f73,plain,(
% 0.17/0.44 u_3|p_0|~q_1|~q_2),
% 0.17/0.44 inference(cnf_transformation,[status(thm)],[f5])).
% 0.17/0.44 fof(f74,plain,(
% 0.17/0.44 p_0|~u_3),
% 0.17/0.44 inference(cnf_transformation,[status(thm)],[f6])).
% 0.17/0.44 fof(f77,plain,(
% 0.17/0.44 u_5|p_1|~q_2|~q_3),
% 0.17/0.44 inference(cnf_transformation,[status(thm)],[f9])).
% 0.17/0.44 fof(f78,plain,(
% 0.17/0.44 p_1|~u_5),
% 0.17/0.44 inference(cnf_transformation,[status(thm)],[f10])).
% 0.17/0.44 fof(f80,plain,(
% 0.17/0.44 q_0|~u_6),
% 0.17/0.44 inference(cnf_transformation,[status(thm)],[f12])).
% 0.17/0.44 fof(f81,plain,(
% 0.17/0.44 u_7|q_0|~q_1|~p_2),
% 0.17/0.44 inference(cnf_transformation,[status(thm)],[f13])).
% 0.17/0.44 fof(f82,plain,(
% 0.17/0.44 q_0|~u_7),
% 0.17/0.44 inference(cnf_transformation,[status(thm)],[f14])).
% 0.17/0.44 fof(f83,plain,(
% 0.17/0.44 u_8|q_1|~p_2|~q_3),
% 0.17/0.44 inference(cnf_transformation,[status(thm)],[f15])).
% 0.17/0.44 fof(f84,plain,(
% 0.17/0.44 q_1|~u_8),
% 0.17/0.44 inference(cnf_transformation,[status(thm)],[f16])).
% 0.17/0.44 fof(f85,plain,(
% 0.17/0.44 u_9|q_1|~q_2|~p_3),
% 0.17/0.44 inference(cnf_transformation,[status(thm)],[f17])).
% 0.17/0.44 fof(f86,plain,(
% 0.17/0.44 q_1|~u_9),
% 0.17/0.44 inference(cnf_transformation,[status(thm)],[f18])).
% 0.17/0.44 fof(f87,plain,(
% 0.17/0.44 u_10|p_3|~p_1),
% 0.17/0.44 inference(cnf_transformation,[status(thm)],[f19])).
% 0.17/0.44 fof(f88,plain,(
% 0.17/0.44 p_3|~u_10),
% 0.17/0.44 inference(cnf_transformation,[status(thm)],[f20])).
% 0.17/0.44 fof(f95,plain,(
% 0.17/0.44 u_14|p_2),
% 0.17/0.44 inference(cnf_transformation,[status(thm)],[f27])).
% 0.17/0.44 fof(f96,plain,(
% 0.17/0.44 p_2|~u_14),
% 0.17/0.44 inference(cnf_transformation,[status(thm)],[f28])).
% 0.17/0.44 fof(f99,plain,(
% 0.17/0.44 u_16|q_2),
% 0.17/0.44 inference(cnf_transformation,[status(thm)],[f31])).
% 0.17/0.44 fof(f100,plain,(
% 0.17/0.44 q_2|~u_16),
% 0.17/0.44 inference(cnf_transformation,[status(thm)],[f32])).
% 0.17/0.44 fof(f101,plain,(
% 0.17/0.44 u_17|q_3),
% 0.17/0.44 inference(cnf_transformation,[status(thm)],[f33])).
% 0.17/0.44 fof(f102,plain,(
% 0.17/0.44 q_3|~u_17),
% 0.17/0.44 inference(cnf_transformation,[status(thm)],[f34])).
% 0.17/0.44 fof(f137,definition,(
% 0.17/0.44 sQ0_spl <=> (u_1)),
% 0.17/0.44 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.17/0.44 fof(f138,plain,(
% 0.17/0.44 u_1|~sQ0_spl),
% 0.17/0.44 inference(component_clause,[status(thm)],[f137])).
% 0.17/0.44 fof(f140,definition,(
% 0.17/0.44 sQ1_spl <=> (p_0)),
% 0.17/0.44 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.17/0.44 fof(f143,definition,(
% 0.17/0.44 sQ2_spl <=> (q_0)),
% 0.17/0.44 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.17/0.44 fof(f146,plain,(
% 0.17/0.44 sQ0_spl|~sQ1_spl|~sQ2_spl),
% 0.17/0.44 inference(split_clause,[status(thm)],[f69,f137,f140,f143])).
% 0.17/0.44 fof(f147,definition,(
% 0.17/0.44 sQ3_spl <=> (u_2)),
% 0.17/0.44 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.17/0.44 fof(f150,definition,(
% 0.17/0.44 sQ4_spl <=> (p_1)),
% 0.17/0.44 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 0.17/0.44 fof(f153,definition,(
% 0.17/0.44 sQ5_spl <=> (p_2)),
% 0.17/0.44 introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition])).
% 0.17/0.44 fof(f157,plain,(
% 0.17/0.44 sQ1_spl|~sQ3_spl),
% 0.17/0.44 inference(split_clause,[status(thm)],[f72,f140,f147])).
% 0.17/0.44 fof(f158,definition,(
% 0.17/0.44 sQ6_spl <=> (u_3)),
% 0.17/0.44 introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition])).
% 0.17/0.44 fof(f161,definition,(
% 0.17/0.44 sQ7_spl <=> (q_1)),
% 0.17/0.44 introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition])).
% 0.17/0.44 fof(f164,definition,(
% 0.17/0.44 sQ8_spl <=> (q_2)),
% 0.17/0.44 introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition])).
% 0.17/0.44 fof(f167,plain,(
% 0.17/0.44 sQ6_spl|sQ1_spl|~sQ7_spl|~sQ8_spl),
% 0.17/0.44 inference(split_clause,[status(thm)],[f73,f158,f140,f161,f164])).
% 0.17/0.44 fof(f168,plain,(
% 0.17/0.44 sQ1_spl|~sQ6_spl),
% 0.17/0.44 inference(split_clause,[status(thm)],[f74,f140,f158])).
% 0.17/0.44 fof(f172,definition,(
% 0.17/0.44 sQ10_spl <=> (p_3)),
% 0.17/0.44 introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition])).
% 0.17/0.44 fof(f177,definition,(
% 0.17/0.44 sQ11_spl <=> (u_5)),
% 0.17/0.44 introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition])).
% 0.17/0.44 fof(f180,definition,(
% 0.17/0.44 sQ12_spl <=> (q_3)),
% 0.17/0.44 introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition])).
% 0.17/0.44 fof(f183,plain,(
% 0.17/0.44 sQ11_spl|sQ4_spl|~sQ8_spl|~sQ12_spl),
% 0.17/0.44 inference(split_clause,[status(thm)],[f77,f177,f150,f164,f180])).
% 0.17/0.44 fof(f184,plain,(
% 0.17/0.44 sQ4_spl|~sQ11_spl),
% 0.17/0.44 inference(split_clause,[status(thm)],[f78,f150,f177])).
% 0.17/0.44 fof(f185,definition,(
% 0.17/0.44 sQ13_spl <=> (u_6)),
% 0.17/0.44 introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition])).
% 0.17/0.44 fof(f189,plain,(
% 0.17/0.44 sQ2_spl|~sQ13_spl),
% 0.17/0.44 inference(split_clause,[status(thm)],[f80,f143,f185])).
% 0.17/0.44 fof(f190,definition,(
% 0.17/0.44 sQ14_spl <=> (u_7)),
% 0.17/0.44 introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition])).
% 0.17/0.44 fof(f193,plain,(
% 0.17/0.44 sQ14_spl|sQ2_spl|~sQ7_spl|~sQ5_spl),
% 0.17/0.44 inference(split_clause,[status(thm)],[f81,f190,f143,f161,f153])).
% 0.17/0.44 fof(f194,plain,(
% 0.17/0.44 sQ2_spl|~sQ14_spl),
% 0.17/0.44 inference(split_clause,[status(thm)],[f82,f143,f190])).
% 0.17/0.44 fof(f195,definition,(
% 0.17/0.44 sQ15_spl <=> (u_8)),
% 0.17/0.44 introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition])).
% 0.17/0.44 fof(f198,plain,(
% 0.17/0.44 sQ15_spl|sQ7_spl|~sQ5_spl|~sQ12_spl),
% 0.17/0.44 inference(split_clause,[status(thm)],[f83,f195,f161,f153,f180])).
% 0.17/0.44 fof(f199,plain,(
% 0.17/0.44 sQ7_spl|~sQ15_spl),
% 0.17/0.44 inference(split_clause,[status(thm)],[f84,f161,f195])).
% 0.17/0.44 fof(f200,definition,(
% 0.17/0.44 sQ16_spl <=> (u_9)),
% 0.17/0.44 introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition])).
% 0.17/0.44 fof(f203,plain,(
% 0.17/0.44 sQ16_spl|sQ7_spl|~sQ8_spl|~sQ10_spl),
% 0.17/0.44 inference(split_clause,[status(thm)],[f85,f200,f161,f164,f172])).
% 0.17/0.44 fof(f204,plain,(
% 0.17/0.44 sQ7_spl|~sQ16_spl),
% 0.17/0.44 inference(split_clause,[status(thm)],[f86,f161,f200])).
% 0.17/0.44 fof(f205,definition,(
% 0.17/0.44 sQ17_spl <=> (u_10)),
% 0.17/0.44 introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition])).
% 0.17/0.44 fof(f208,plain,(
% 0.17/0.44 sQ17_spl|sQ10_spl|~sQ4_spl),
% 0.17/0.44 inference(split_clause,[status(thm)],[f87,f205,f172,f150])).
% 0.17/0.44 fof(f209,plain,(
% 0.17/0.44 sQ10_spl|~sQ17_spl),
% 0.17/0.44 inference(split_clause,[status(thm)],[f88,f172,f205])).
% 0.17/0.44 fof(f231,definition,(
% 0.17/0.44 sQ23_spl <=> (u_14)),
% 0.17/0.44 introduced(definition,[new_symbols(definition,[sQ23_spl])],[split_symbol_definition])).
% 0.17/0.44 fof(f234,plain,(
% 0.17/0.44 sQ23_spl|sQ5_spl),
% 0.17/0.44 inference(split_clause,[status(thm)],[f95,f231,f153])).
% 0.17/0.44 fof(f235,plain,(
% 0.17/0.44 sQ5_spl|~sQ23_spl),
% 0.17/0.44 inference(split_clause,[status(thm)],[f96,f153,f231])).
% 0.17/0.44 fof(f241,definition,(
% 0.17/0.44 sQ25_spl <=> (u_16)),
% 0.17/0.44 introduced(definition,[new_symbols(definition,[sQ25_spl])],[split_symbol_definition])).
% 0.17/0.44 fof(f244,plain,(
% 0.17/0.44 sQ25_spl|sQ8_spl),
% 0.17/0.44 inference(split_clause,[status(thm)],[f99,f241,f164])).
% 0.17/0.44 fof(f245,plain,(
% 0.17/0.44 sQ8_spl|~sQ25_spl),
% 0.17/0.44 inference(split_clause,[status(thm)],[f100,f164,f241])).
% 0.17/0.44 fof(f246,definition,(
% 0.17/0.44 sQ26_spl <=> (u_17)),
% 0.17/0.44 introduced(definition,[new_symbols(definition,[sQ26_spl])],[split_symbol_definition])).
% 0.17/0.44 fof(f249,plain,(
% 0.17/0.44 sQ26_spl|sQ12_spl),
% 0.17/0.44 inference(split_clause,[status(thm)],[f101,f246,f180])).
% 0.17/0.44 fof(f250,plain,(
% 0.17/0.44 sQ12_spl|~sQ26_spl),
% 0.17/0.44 inference(split_clause,[status(thm)],[f102,f180,f246])).
% 0.17/0.44 fof(f251,plain,(
% 0.17/0.44 $false|~sQ0_spl),
% 0.17/0.44 inference(forward_subsumption_resolution,[status(thm)],[f70,f138])).
% 0.17/0.44 fof(f252,plain,(
% 0.17/0.44 ~sQ0_spl),
% 0.17/0.44 inference(contradiction_clause,[status(thm)],[f251])).
% 0.17/0.44 fof(f253,plain,(
% 0.17/0.44 $false),
% 0.17/0.44 inference(sat_refutation,[status(thm)],[f146,f157,f167,f168,f183,f184,f189,f193,f194,f198,f199,f203,f204,f208,f209,f234,f235,f244,f245,f249,f250,f252])).
% 0.17/0.44 % SZS output end CNFRefutation for theBenchmark.p
% 0.17/0.51 % Elapsed time: 0.077150 seconds
% 0.17/0.51 % CPU time: 0.051925 seconds
% 0.17/0.51 % Total memory used: 554.240 KB
% 0.17/0.51 % Net memory used: 552.336 KB
%------------------------------------------------------------------------------