%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SYN098-1.002 : TPTP v9.3.1. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n001.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 03:15:13 PM UTC 2026
% Result : Unsatisfiable 0.14s 0.38s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 42
% Syntax : Number of formulae : 89 ( 4 unt; 20 def)
% Number of atoms : 210 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 198 ( 77 ~; 101 |; 0 &)
% ( 20 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 0 ( 0 avg)
% Number of predicates : 41 ( 40 usr; 41 prp; 0-0 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 0 ( 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
( ~ q_0
| ~ p_0
| u_1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,axiom,
~ u_1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,axiom,
( ~ u_2
| p_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5,axiom,
( ~ q_2
| ~ q_1
| p_0
| u_3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f6,axiom,
( ~ u_3
| p_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f9,axiom,
( ~ q_3
| ~ q_2
| p_1
| u_5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f10,axiom,
( ~ u_5
| p_1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f12,axiom,
( ~ u_6
| q_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f13,axiom,
( ~ p_2
| ~ q_1
| q_0
| u_7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f14,axiom,
( ~ u_7
| q_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f15,axiom,
( ~ q_3
| ~ p_2
| q_1
| u_8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f16,axiom,
( ~ u_8
| q_1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f17,axiom,
( ~ p_3
| ~ q_2
| q_1
| u_9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f18,axiom,
( ~ u_9
| q_1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f19,axiom,
( ~ p_1
| p_3
| u_10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f20,axiom,
( ~ u_10
| p_3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f27,axiom,
( p_2
| u_14 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f28,axiom,
( ~ u_14
| p_2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f31,axiom,
( q_2
| u_16 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f32,axiom,
( ~ u_16
| q_2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f33,axiom,
( q_3
| u_17 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f34,axiom,
( ~ u_17
| q_3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f69,plain,
( ~ q_0
| ~ p_0
| u_1 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f70,plain,
~ u_1,
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f72,plain,
( ~ u_2
| p_0 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f73,plain,
( ~ q_2
| ~ q_1
| p_0
| u_3 ),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f74,plain,
( ~ u_3
| p_0 ),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f77,plain,
( ~ q_3
| ~ q_2
| p_1
| u_5 ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f78,plain,
( ~ u_5
| p_1 ),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f80,plain,
( ~ u_6
| q_0 ),
inference(cnf_transformation,[status(thm)],[f12]) ).
fof(f81,plain,
( ~ p_2
| ~ q_1
| q_0
| u_7 ),
inference(cnf_transformation,[status(thm)],[f13]) ).
fof(f82,plain,
( ~ u_7
| q_0 ),
inference(cnf_transformation,[status(thm)],[f14]) ).
fof(f83,plain,
( ~ q_3
| ~ p_2
| q_1
| u_8 ),
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f84,plain,
( ~ u_8
| q_1 ),
inference(cnf_transformation,[status(thm)],[f16]) ).
fof(f85,plain,
( ~ p_3
| ~ q_2
| q_1
| u_9 ),
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f86,plain,
( ~ u_9
| q_1 ),
inference(cnf_transformation,[status(thm)],[f18]) ).
fof(f87,plain,
( ~ p_1
| p_3
| u_10 ),
inference(cnf_transformation,[status(thm)],[f19]) ).
fof(f88,plain,
( ~ u_10
| p_3 ),
inference(cnf_transformation,[status(thm)],[f20]) ).
fof(f95,plain,
( p_2
| u_14 ),
inference(cnf_transformation,[status(thm)],[f27]) ).
fof(f96,plain,
( ~ u_14
| p_2 ),
inference(cnf_transformation,[status(thm)],[f28]) ).
fof(f99,plain,
( q_2
| u_16 ),
inference(cnf_transformation,[status(thm)],[f31]) ).
fof(f100,plain,
( ~ u_16
| q_2 ),
inference(cnf_transformation,[status(thm)],[f32]) ).
fof(f101,plain,
( q_3
| u_17 ),
inference(cnf_transformation,[status(thm)],[f33]) ).
fof(f102,plain,
( ~ u_17
| q_3 ),
inference(cnf_transformation,[status(thm)],[f34]) ).
fof(f137,definition,
( sQ0_spl
<=> u_1 ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f138,plain,
( ~ sQ0_spl
| u_1 ),
inference(component_clause,[status(thm)],[f137]) ).
fof(f140,definition,
( sQ1_spl
<=> p_0 ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f143,definition,
( sQ2_spl
<=> q_0 ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f146,plain,
( ~ sQ2_spl
| ~ sQ1_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f69,f137,f140,f143]) ).
fof(f147,definition,
( sQ3_spl
<=> u_2 ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f150,definition,
( sQ4_spl
<=> p_1 ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f153,definition,
( sQ5_spl
<=> p_2 ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f157,plain,
( ~ sQ3_spl
| sQ1_spl ),
inference(split_clause,[status(thm)],[f72,f140,f147]) ).
fof(f158,definition,
( sQ6_spl
<=> u_3 ),
introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).
fof(f161,definition,
( sQ7_spl
<=> q_1 ),
introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).
fof(f164,definition,
( sQ8_spl
<=> q_2 ),
introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).
fof(f167,plain,
( ~ sQ8_spl
| ~ sQ7_spl
| sQ1_spl
| sQ6_spl ),
inference(split_clause,[status(thm)],[f73,f158,f140,f161,f164]) ).
fof(f168,plain,
( ~ sQ6_spl
| sQ1_spl ),
inference(split_clause,[status(thm)],[f74,f140,f158]) ).
fof(f172,definition,
( sQ10_spl
<=> p_3 ),
introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition]) ).
fof(f177,definition,
( sQ11_spl
<=> u_5 ),
introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition]) ).
fof(f180,definition,
( sQ12_spl
<=> q_3 ),
introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition]) ).
fof(f183,plain,
( ~ sQ12_spl
| ~ sQ8_spl
| sQ4_spl
| sQ11_spl ),
inference(split_clause,[status(thm)],[f77,f177,f150,f164,f180]) ).
fof(f184,plain,
( ~ sQ11_spl
| sQ4_spl ),
inference(split_clause,[status(thm)],[f78,f150,f177]) ).
fof(f185,definition,
( sQ13_spl
<=> u_6 ),
introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition]) ).
fof(f189,plain,
( ~ sQ13_spl
| sQ2_spl ),
inference(split_clause,[status(thm)],[f80,f143,f185]) ).
fof(f190,definition,
( sQ14_spl
<=> u_7 ),
introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition]) ).
fof(f193,plain,
( ~ sQ5_spl
| ~ sQ7_spl
| sQ2_spl
| sQ14_spl ),
inference(split_clause,[status(thm)],[f81,f190,f143,f161,f153]) ).
fof(f194,plain,
( ~ sQ14_spl
| sQ2_spl ),
inference(split_clause,[status(thm)],[f82,f143,f190]) ).
fof(f195,definition,
( sQ15_spl
<=> u_8 ),
introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition]) ).
fof(f198,plain,
( ~ sQ12_spl
| ~ sQ5_spl
| sQ7_spl
| sQ15_spl ),
inference(split_clause,[status(thm)],[f83,f195,f161,f153,f180]) ).
fof(f199,plain,
( ~ sQ15_spl
| sQ7_spl ),
inference(split_clause,[status(thm)],[f84,f161,f195]) ).
fof(f200,definition,
( sQ16_spl
<=> u_9 ),
introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition]) ).
fof(f203,plain,
( ~ sQ10_spl
| ~ sQ8_spl
| sQ7_spl
| sQ16_spl ),
inference(split_clause,[status(thm)],[f85,f200,f161,f164,f172]) ).
fof(f204,plain,
( ~ sQ16_spl
| sQ7_spl ),
inference(split_clause,[status(thm)],[f86,f161,f200]) ).
fof(f205,definition,
( sQ17_spl
<=> u_10 ),
introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition]) ).
fof(f208,plain,
( ~ sQ4_spl
| sQ10_spl
| sQ17_spl ),
inference(split_clause,[status(thm)],[f87,f205,f172,f150]) ).
fof(f209,plain,
( ~ sQ17_spl
| sQ10_spl ),
inference(split_clause,[status(thm)],[f88,f172,f205]) ).
fof(f231,definition,
( sQ23_spl
<=> u_14 ),
introduced(definition,[new_symbols(definition,[sQ23_spl])],[split_symbol_definition]) ).
fof(f234,plain,
( sQ5_spl
| sQ23_spl ),
inference(split_clause,[status(thm)],[f95,f231,f153]) ).
fof(f235,plain,
( ~ sQ23_spl
| sQ5_spl ),
inference(split_clause,[status(thm)],[f96,f153,f231]) ).
fof(f241,definition,
( sQ25_spl
<=> u_16 ),
introduced(definition,[new_symbols(definition,[sQ25_spl])],[split_symbol_definition]) ).
fof(f244,plain,
( sQ8_spl
| sQ25_spl ),
inference(split_clause,[status(thm)],[f99,f241,f164]) ).
fof(f245,plain,
( ~ sQ25_spl
| sQ8_spl ),
inference(split_clause,[status(thm)],[f100,f164,f241]) ).
fof(f246,definition,
( sQ26_spl
<=> u_17 ),
introduced(definition,[new_symbols(definition,[sQ26_spl])],[split_symbol_definition]) ).
fof(f249,plain,
( sQ12_spl
| sQ26_spl ),
inference(split_clause,[status(thm)],[f101,f246,f180]) ).
fof(f250,plain,
( ~ sQ26_spl
| sQ12_spl ),
inference(split_clause,[status(thm)],[f102,f180,f246]) ).
fof(f251,plain,
( ~ sQ0_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f70,f138]) ).
fof(f252,plain,
~ sQ0_spl,
inference(contradiction_clause,[status(thm)],[f251]) ).
fof(f253,plain,
$false,
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]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN098-1.002 : TPTP v9.3.1. Bugfixed v1.2.1.
% 0.00/0.03 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n001.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Mon Sep 21 10:48:59 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.09/0.36 % Drodi V4.1.1
% 0.14/0.38 % Refutation found
% 0.14/0.38 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/0.38 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.14/0.41 % Elapsed time: 0.041166 seconds
% 0.14/0.41 % CPU time: 0.112213 seconds
% 0.14/0.41 % Total memory used: 17.736 MB
% 0.14/0.41 % Net memory used: 17.385 MB
%------------------------------------------------------------------------------