%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SYN097-1.002 : TPTP v9.3.1. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n018.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 0.14s 0.39s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN097-1.002 : TPTP v9.3.1. Bugfixed v1.2.1.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n018.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Mon Sep 21 10:45:28 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.37 % Drodi V4.1.1
% 0.14/0.39 % Refutation found
% 0.14/0.39 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/0.39 % SZS output start CNFRefutation for theBenchmark
% 0.14/0.39 fof(f1,negated_conjecture,(
% 0.14/0.39 ( u_1| ~ p_1_2 ) ),
% 0.14/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.39 fof(f2,axiom,(
% 0.14/0.39 ~ u_1 ),
% 0.14/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.39 fof(f4,axiom,(
% 0.14/0.39 ( p_1_2| ~ u_2 ) ),
% 0.14/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.39 fof(f5,axiom,(
% 0.14/0.39 ( u_3| p_1_2| ~ q_2_2| ~ q_1_1 ) ),
% 0.14/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.39 fof(f6,axiom,(
% 0.14/0.39 ( p_1_2| ~ u_3 ) ),
% 0.14/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.39 fof(f9,axiom,(
% 0.14/0.39 ( u_5| q_1_2| ~ q_2_2| ~ p_1_1 ) ),
% 0.14/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.39 fof(f10,axiom,(
% 0.14/0.39 ( q_1_2| ~ u_5 ) ),
% 0.14/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.39 fof(f13,axiom,(
% 0.14/0.39 ( u_7| q_1_1| ~ q_1_2 ) ),
% 0.14/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.39 fof(f14,axiom,(
% 0.14/0.39 ( q_1_1| ~ u_7 ) ),
% 0.14/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.39 fof(f19,axiom,(
% 0.14/0.39 ( u_10| p_1_1 ) ),
% 0.14/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.39 fof(f20,axiom,(
% 0.14/0.39 ( p_1_1| ~ u_10 ) ),
% 0.14/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.39 fof(f25,axiom,(
% 0.14/0.39 ( u_13| q_2_2 ) ),
% 0.14/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.39 fof(f26,axiom,(
% 0.14/0.39 ( q_2_2| ~ u_13 ) ),
% 0.14/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.39 fof(f53,plain,(
% 0.14/0.39 u_1|~p_1_2),
% 0.14/0.39 inference(cnf_transformation,[status(thm)],[f1])).
% 0.14/0.39 fof(f54,plain,(
% 0.14/0.39 ~u_1),
% 0.14/0.39 inference(cnf_transformation,[status(thm)],[f2])).
% 0.14/0.39 fof(f56,plain,(
% 0.14/0.39 p_1_2|~u_2),
% 0.14/0.39 inference(cnf_transformation,[status(thm)],[f4])).
% 0.14/0.39 fof(f57,plain,(
% 0.14/0.39 u_3|p_1_2|~q_2_2|~q_1_1),
% 0.14/0.39 inference(cnf_transformation,[status(thm)],[f5])).
% 0.14/0.39 fof(f58,plain,(
% 0.14/0.39 p_1_2|~u_3),
% 0.14/0.39 inference(cnf_transformation,[status(thm)],[f6])).
% 0.14/0.39 fof(f61,plain,(
% 0.14/0.39 u_5|q_1_2|~q_2_2|~p_1_1),
% 0.14/0.39 inference(cnf_transformation,[status(thm)],[f9])).
% 0.14/0.39 fof(f62,plain,(
% 0.14/0.39 q_1_2|~u_5),
% 0.14/0.39 inference(cnf_transformation,[status(thm)],[f10])).
% 0.14/0.39 fof(f65,plain,(
% 0.14/0.39 u_7|q_1_1|~q_1_2),
% 0.14/0.39 inference(cnf_transformation,[status(thm)],[f13])).
% 0.14/0.39 fof(f66,plain,(
% 0.14/0.39 q_1_1|~u_7),
% 0.14/0.39 inference(cnf_transformation,[status(thm)],[f14])).
% 0.14/0.39 fof(f71,plain,(
% 0.14/0.39 u_10|p_1_1),
% 0.14/0.39 inference(cnf_transformation,[status(thm)],[f19])).
% 0.14/0.39 fof(f72,plain,(
% 0.14/0.39 p_1_1|~u_10),
% 0.14/0.39 inference(cnf_transformation,[status(thm)],[f20])).
% 0.14/0.39 fof(f77,plain,(
% 0.14/0.39 u_13|q_2_2),
% 0.14/0.39 inference(cnf_transformation,[status(thm)],[f25])).
% 0.14/0.39 fof(f78,plain,(
% 0.14/0.39 q_2_2|~u_13),
% 0.14/0.39 inference(cnf_transformation,[status(thm)],[f26])).
% 0.14/0.39 fof(f105,definition,(
% 0.14/0.39 sQ0_spl <=> (u_1)),
% 0.14/0.39 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.14/0.39 fof(f106,plain,(
% 0.14/0.39 u_1|~sQ0_spl),
% 0.14/0.39 inference(component_clause,[status(thm)],[f105])).
% 0.14/0.39 fof(f108,definition,(
% 0.14/0.39 sQ1_spl <=> (p_1_2)),
% 0.14/0.39 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.14/0.39 fof(f111,plain,(
% 0.14/0.39 sQ0_spl|~sQ1_spl),
% 0.14/0.39 inference(split_clause,[status(thm)],[f53,f105,f108])).
% 0.14/0.39 fof(f112,definition,(
% 0.14/0.39 sQ2_spl <=> (u_2)),
% 0.14/0.39 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.14/0.39 fof(f118,definition,(
% 0.14/0.39 sQ4_spl <=> (p_1_1)),
% 0.14/0.39 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 0.14/0.39 fof(f122,plain,(
% 0.14/0.39 sQ1_spl|~sQ2_spl),
% 0.14/0.39 inference(split_clause,[status(thm)],[f56,f108,f112])).
% 0.14/0.39 fof(f123,definition,(
% 0.14/0.39 sQ5_spl <=> (u_3)),
% 0.14/0.39 introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition])).
% 0.14/0.39 fof(f126,definition,(
% 0.14/0.39 sQ6_spl <=> (q_2_2)),
% 0.14/0.39 introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition])).
% 0.14/0.39 fof(f129,definition,(
% 0.14/0.39 sQ7_spl <=> (q_1_1)),
% 0.14/0.39 introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition])).
% 0.14/0.39 fof(f132,plain,(
% 0.14/0.39 sQ5_spl|sQ1_spl|~sQ6_spl|~sQ7_spl),
% 0.14/0.39 inference(split_clause,[status(thm)],[f57,f123,f108,f126,f129])).
% 0.14/0.39 fof(f133,plain,(
% 0.14/0.39 sQ1_spl|~sQ5_spl),
% 0.14/0.39 inference(split_clause,[status(thm)],[f58,f108,f123])).
% 0.14/0.39 fof(f137,definition,(
% 0.14/0.39 sQ9_spl <=> (q_1_2)),
% 0.14/0.39 introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition])).
% 0.14/0.39 fof(f142,definition,(
% 0.14/0.39 sQ10_spl <=> (u_5)),
% 0.14/0.39 introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition])).
% 0.14/0.39 fof(f145,plain,(
% 0.14/0.39 sQ10_spl|sQ9_spl|~sQ6_spl|~sQ4_spl),
% 0.14/0.39 inference(split_clause,[status(thm)],[f61,f142,f137,f126,f118])).
% 0.14/0.39 fof(f146,plain,(
% 0.14/0.39 sQ9_spl|~sQ10_spl),
% 0.14/0.39 inference(split_clause,[status(thm)],[f62,f137,f142])).
% 0.14/0.39 fof(f152,definition,(
% 0.14/0.39 sQ12_spl <=> (u_7)),
% 0.14/0.39 introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition])).
% 0.14/0.39 fof(f155,plain,(
% 0.14/0.39 sQ12_spl|sQ7_spl|~sQ9_spl),
% 0.14/0.39 inference(split_clause,[status(thm)],[f65,f152,f129,f137])).
% 0.14/0.39 fof(f156,plain,(
% 0.14/0.39 sQ7_spl|~sQ12_spl),
% 0.14/0.39 inference(split_clause,[status(thm)],[f66,f129,f152])).
% 0.14/0.39 fof(f167,definition,(
% 0.14/0.39 sQ15_spl <=> (u_10)),
% 0.14/0.39 introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition])).
% 0.14/0.39 fof(f170,plain,(
% 0.14/0.39 sQ15_spl|sQ4_spl),
% 0.14/0.39 inference(split_clause,[status(thm)],[f71,f167,f118])).
% 0.14/0.39 fof(f171,plain,(
% 0.14/0.39 sQ4_spl|~sQ15_spl),
% 0.14/0.39 inference(split_clause,[status(thm)],[f72,f118,f167])).
% 0.14/0.39 fof(f182,definition,(
% 0.14/0.39 sQ18_spl <=> (u_13)),
% 0.14/0.39 introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition])).
% 0.14/0.39 fof(f185,plain,(
% 0.14/0.39 sQ18_spl|sQ6_spl),
% 0.14/0.39 inference(split_clause,[status(thm)],[f77,f182,f126])).
% 0.14/0.39 fof(f186,plain,(
% 0.14/0.39 sQ6_spl|~sQ18_spl),
% 0.14/0.39 inference(split_clause,[status(thm)],[f78,f126,f182])).
% 0.14/0.39 fof(f187,plain,(
% 0.14/0.39 $false|~sQ0_spl),
% 0.14/0.39 inference(forward_subsumption_resolution,[status(thm)],[f106,f54])).
% 0.14/0.39 fof(f188,plain,(
% 0.14/0.39 ~sQ0_spl),
% 0.14/0.39 inference(contradiction_clause,[status(thm)],[f187])).
% 0.14/0.39 fof(f189,plain,(
% 0.14/0.39 $false),
% 0.14/0.39 inference(sat_refutation,[status(thm)],[f111,f122,f132,f133,f145,f146,f155,f156,f170,f171,f185,f186,f188])).
% 0.14/0.39 % SZS output end CNFRefutation for theBenchmark.p
% 0.14/0.43 % Elapsed time: 0.051919 seconds
% 0.14/0.43 % CPU time: 0.114842 seconds
% 0.14/0.43 % Total memory used: 17.421 MB
% 0.14/0.43 % Net memory used: 16.993 MB
%------------------------------------------------------------------------------