%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SYN010-1.005.005 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -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 03:14:55 PM UTC 2026
% Result : Unsatisfiable 0.08s 0.39s
% Output : CNFRefutation 0.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 53
% Syntax : Number of formulae : 120 ( 19 unt; 26 def)
% Number of atoms : 473 ( 0 equ)
% Maximal formula atoms : 6 ( 3 avg)
% Number of connectives : 678 ( 325 ~; 327 |; 0 &)
% ( 26 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 5 avg)
% Maximal term depth : 0 ( 0 avg)
% Number of predicates : 53 ( 52 usr; 53 prp; 0-0 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 0 ( 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
~ p_0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,negated_conjecture,
( ~ p_1_5
| ~ p_1_4
| ~ p_1_3
| ~ p_1_2
| ~ p_1_1
| p_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,negated_conjecture,
( ~ p_2_5
| ~ p_2_4
| ~ p_2_3
| ~ p_2_2
| ~ p_2_1
| p_1_1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,negated_conjecture,
( ~ p_2_5
| ~ p_2_4
| ~ p_2_3
| ~ p_2_2
| ~ p_2_1
| p_1_2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,negated_conjecture,
( ~ p_2_5
| ~ p_2_4
| ~ p_2_3
| ~ p_2_2
| ~ p_2_1
| p_1_3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,negated_conjecture,
( ~ p_2_5
| ~ p_2_4
| ~ p_2_3
| ~ p_2_2
| ~ p_2_1
| p_1_4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f7,negated_conjecture,
( ~ p_2_5
| ~ p_2_4
| ~ p_2_3
| ~ p_2_2
| ~ p_2_1
| p_1_5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f8,negated_conjecture,
( ~ p_3_5
| ~ p_3_4
| ~ p_3_3
| ~ p_3_2
| ~ p_3_1
| p_2_1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f9,negated_conjecture,
( ~ p_3_5
| ~ p_3_4
| ~ p_3_3
| ~ p_3_2
| ~ p_3_1
| p_2_2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f10,negated_conjecture,
( ~ p_3_5
| ~ p_3_4
| ~ p_3_3
| ~ p_3_2
| ~ p_3_1
| p_2_3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f11,negated_conjecture,
( ~ p_3_5
| ~ p_3_4
| ~ p_3_3
| ~ p_3_2
| ~ p_3_1
| p_2_4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f12,negated_conjecture,
( ~ p_3_5
| ~ p_3_4
| ~ p_3_3
| ~ p_3_2
| ~ p_3_1
| p_2_5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f13,negated_conjecture,
( ~ p_4_5
| ~ p_4_4
| ~ p_4_3
| ~ p_4_2
| ~ p_4_1
| p_3_1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f14,negated_conjecture,
( ~ p_4_5
| ~ p_4_4
| ~ p_4_3
| ~ p_4_2
| ~ p_4_1
| p_3_2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f15,negated_conjecture,
( ~ p_4_5
| ~ p_4_4
| ~ p_4_3
| ~ p_4_2
| ~ p_4_1
| p_3_3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f16,negated_conjecture,
( ~ p_4_5
| ~ p_4_4
| ~ p_4_3
| ~ p_4_2
| ~ p_4_1
| p_3_4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f17,negated_conjecture,
( ~ p_4_5
| ~ p_4_4
| ~ p_4_3
| ~ p_4_2
| ~ p_4_1
| p_3_5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f18,negated_conjecture,
( ~ p_5_5
| ~ p_5_4
| ~ p_5_3
| ~ p_5_2
| ~ p_5_1
| p_4_1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f19,negated_conjecture,
( ~ p_5_5
| ~ p_5_4
| ~ p_5_3
| ~ p_5_2
| ~ p_5_1
| p_4_2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f20,negated_conjecture,
( ~ p_5_5
| ~ p_5_4
| ~ p_5_3
| ~ p_5_2
| ~ p_5_1
| p_4_3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f21,negated_conjecture,
( ~ p_5_5
| ~ p_5_4
| ~ p_5_3
| ~ p_5_2
| ~ p_5_1
| p_4_4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f22,negated_conjecture,
( ~ p_5_5
| ~ p_5_4
| ~ p_5_3
| ~ p_5_2
| ~ p_5_1
| p_4_5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f23,negated_conjecture,
p_5_1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f24,negated_conjecture,
p_5_2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f25,negated_conjecture,
p_5_3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f26,negated_conjecture,
p_5_4,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f27,negated_conjecture,
p_5_5,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f28,plain,
~ p_0,
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f29,plain,
( ~ p_1_5
| ~ p_1_4
| ~ p_1_3
| ~ p_1_2
| ~ p_1_1
| p_0 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f30,plain,
( ~ p_2_5
| ~ p_2_4
| ~ p_2_3
| ~ p_2_2
| ~ p_2_1
| p_1_1 ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f31,plain,
( ~ p_2_5
| ~ p_2_4
| ~ p_2_3
| ~ p_2_2
| ~ p_2_1
| p_1_2 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f32,plain,
( ~ p_2_5
| ~ p_2_4
| ~ p_2_3
| ~ p_2_2
| ~ p_2_1
| p_1_3 ),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f33,plain,
( ~ p_2_5
| ~ p_2_4
| ~ p_2_3
| ~ p_2_2
| ~ p_2_1
| p_1_4 ),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f34,plain,
( ~ p_2_5
| ~ p_2_4
| ~ p_2_3
| ~ p_2_2
| ~ p_2_1
| p_1_5 ),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f35,plain,
( ~ p_3_5
| ~ p_3_4
| ~ p_3_3
| ~ p_3_2
| ~ p_3_1
| p_2_1 ),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f36,plain,
( ~ p_3_5
| ~ p_3_4
| ~ p_3_3
| ~ p_3_2
| ~ p_3_1
| p_2_2 ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f37,plain,
( ~ p_3_5
| ~ p_3_4
| ~ p_3_3
| ~ p_3_2
| ~ p_3_1
| p_2_3 ),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f38,plain,
( ~ p_3_5
| ~ p_3_4
| ~ p_3_3
| ~ p_3_2
| ~ p_3_1
| p_2_4 ),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f39,plain,
( ~ p_3_5
| ~ p_3_4
| ~ p_3_3
| ~ p_3_2
| ~ p_3_1
| p_2_5 ),
inference(cnf_transformation,[status(thm)],[f12]) ).
fof(f40,plain,
( ~ p_4_5
| ~ p_4_4
| ~ p_4_3
| ~ p_4_2
| ~ p_4_1
| p_3_1 ),
inference(cnf_transformation,[status(thm)],[f13]) ).
fof(f41,plain,
( ~ p_4_5
| ~ p_4_4
| ~ p_4_3
| ~ p_4_2
| ~ p_4_1
| p_3_2 ),
inference(cnf_transformation,[status(thm)],[f14]) ).
fof(f42,plain,
( ~ p_4_5
| ~ p_4_4
| ~ p_4_3
| ~ p_4_2
| ~ p_4_1
| p_3_3 ),
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f43,plain,
( ~ p_4_5
| ~ p_4_4
| ~ p_4_3
| ~ p_4_2
| ~ p_4_1
| p_3_4 ),
inference(cnf_transformation,[status(thm)],[f16]) ).
fof(f44,plain,
( ~ p_4_5
| ~ p_4_4
| ~ p_4_3
| ~ p_4_2
| ~ p_4_1
| p_3_5 ),
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f45,plain,
( ~ p_5_5
| ~ p_5_4
| ~ p_5_3
| ~ p_5_2
| ~ p_5_1
| p_4_1 ),
inference(cnf_transformation,[status(thm)],[f18]) ).
fof(f46,plain,
( ~ p_5_5
| ~ p_5_4
| ~ p_5_3
| ~ p_5_2
| ~ p_5_1
| p_4_2 ),
inference(cnf_transformation,[status(thm)],[f19]) ).
fof(f47,plain,
( ~ p_5_5
| ~ p_5_4
| ~ p_5_3
| ~ p_5_2
| ~ p_5_1
| p_4_3 ),
inference(cnf_transformation,[status(thm)],[f20]) ).
fof(f48,plain,
( ~ p_5_5
| ~ p_5_4
| ~ p_5_3
| ~ p_5_2
| ~ p_5_1
| p_4_4 ),
inference(cnf_transformation,[status(thm)],[f21]) ).
fof(f49,plain,
( ~ p_5_5
| ~ p_5_4
| ~ p_5_3
| ~ p_5_2
| ~ p_5_1
| p_4_5 ),
inference(cnf_transformation,[status(thm)],[f22]) ).
fof(f50,plain,
p_5_1,
inference(cnf_transformation,[status(thm)],[f23]) ).
fof(f51,plain,
p_5_2,
inference(cnf_transformation,[status(thm)],[f24]) ).
fof(f52,plain,
p_5_3,
inference(cnf_transformation,[status(thm)],[f25]) ).
fof(f53,plain,
p_5_4,
inference(cnf_transformation,[status(thm)],[f26]) ).
fof(f54,plain,
p_5_5,
inference(cnf_transformation,[status(thm)],[f27]) ).
fof(f55,definition,
( sQ0_spl
<=> p_0 ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f56,plain,
( ~ sQ0_spl
| p_0 ),
inference(component_clause,[status(thm)],[f55]) ).
fof(f58,definition,
( sQ1_spl
<=> p_1_1 ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f61,definition,
( sQ2_spl
<=> p_1_2 ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f64,definition,
( sQ3_spl
<=> p_1_3 ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f67,definition,
( sQ4_spl
<=> p_1_4 ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f70,definition,
( sQ5_spl
<=> p_1_5 ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f73,plain,
( ~ sQ5_spl
| ~ sQ4_spl
| ~ sQ3_spl
| ~ sQ2_spl
| ~ sQ1_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f29,f55,f58,f61,f64,f67,f70]) ).
fof(f74,definition,
( sQ6_spl
<=> p_2_1 ),
introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).
fof(f77,definition,
( sQ7_spl
<=> p_2_2 ),
introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).
fof(f80,definition,
( sQ8_spl
<=> p_2_3 ),
introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).
fof(f83,definition,
( sQ9_spl
<=> p_2_4 ),
introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition]) ).
fof(f86,definition,
( sQ10_spl
<=> p_2_5 ),
introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition]) ).
fof(f89,plain,
( ~ sQ10_spl
| ~ sQ9_spl
| ~ sQ8_spl
| ~ sQ7_spl
| ~ sQ6_spl
| sQ1_spl ),
inference(split_clause,[status(thm)],[f30,f58,f74,f77,f80,f83,f86]) ).
fof(f90,plain,
( ~ sQ10_spl
| ~ sQ9_spl
| ~ sQ8_spl
| ~ sQ7_spl
| ~ sQ6_spl
| sQ2_spl ),
inference(split_clause,[status(thm)],[f31,f61,f74,f77,f80,f83,f86]) ).
fof(f91,plain,
( ~ sQ10_spl
| ~ sQ9_spl
| ~ sQ8_spl
| ~ sQ7_spl
| ~ sQ6_spl
| sQ3_spl ),
inference(split_clause,[status(thm)],[f32,f64,f74,f77,f80,f83,f86]) ).
fof(f92,plain,
( ~ sQ10_spl
| ~ sQ9_spl
| ~ sQ8_spl
| ~ sQ7_spl
| ~ sQ6_spl
| sQ4_spl ),
inference(split_clause,[status(thm)],[f33,f67,f74,f77,f80,f83,f86]) ).
fof(f93,plain,
( ~ sQ10_spl
| ~ sQ9_spl
| ~ sQ8_spl
| ~ sQ7_spl
| ~ sQ6_spl
| sQ5_spl ),
inference(split_clause,[status(thm)],[f34,f70,f74,f77,f80,f83,f86]) ).
fof(f94,definition,
( sQ11_spl
<=> p_3_1 ),
introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition]) ).
fof(f97,definition,
( sQ12_spl
<=> p_3_2 ),
introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition]) ).
fof(f100,definition,
( sQ13_spl
<=> p_3_3 ),
introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition]) ).
fof(f103,definition,
( sQ14_spl
<=> p_3_4 ),
introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition]) ).
fof(f106,definition,
( sQ15_spl
<=> p_3_5 ),
introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition]) ).
fof(f109,plain,
( ~ sQ15_spl
| ~ sQ14_spl
| ~ sQ13_spl
| ~ sQ12_spl
| ~ sQ11_spl
| sQ6_spl ),
inference(split_clause,[status(thm)],[f35,f74,f94,f97,f100,f103,f106]) ).
fof(f110,plain,
( ~ sQ15_spl
| ~ sQ14_spl
| ~ sQ13_spl
| ~ sQ12_spl
| ~ sQ11_spl
| sQ7_spl ),
inference(split_clause,[status(thm)],[f36,f77,f94,f97,f100,f103,f106]) ).
fof(f111,plain,
( ~ sQ15_spl
| ~ sQ14_spl
| ~ sQ13_spl
| ~ sQ12_spl
| ~ sQ11_spl
| sQ8_spl ),
inference(split_clause,[status(thm)],[f37,f80,f94,f97,f100,f103,f106]) ).
fof(f112,plain,
( ~ sQ15_spl
| ~ sQ14_spl
| ~ sQ13_spl
| ~ sQ12_spl
| ~ sQ11_spl
| sQ9_spl ),
inference(split_clause,[status(thm)],[f38,f83,f94,f97,f100,f103,f106]) ).
fof(f113,plain,
( ~ sQ15_spl
| ~ sQ14_spl
| ~ sQ13_spl
| ~ sQ12_spl
| ~ sQ11_spl
| sQ10_spl ),
inference(split_clause,[status(thm)],[f39,f86,f94,f97,f100,f103,f106]) ).
fof(f114,definition,
( sQ16_spl
<=> p_4_1 ),
introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition]) ).
fof(f117,definition,
( sQ17_spl
<=> p_4_2 ),
introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition]) ).
fof(f120,definition,
( sQ18_spl
<=> p_4_3 ),
introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition]) ).
fof(f123,definition,
( sQ19_spl
<=> p_4_4 ),
introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition]) ).
fof(f126,definition,
( sQ20_spl
<=> p_4_5 ),
introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition]) ).
fof(f129,plain,
( ~ sQ20_spl
| ~ sQ19_spl
| ~ sQ18_spl
| ~ sQ17_spl
| ~ sQ16_spl
| sQ11_spl ),
inference(split_clause,[status(thm)],[f40,f94,f114,f117,f120,f123,f126]) ).
fof(f130,plain,
( ~ sQ20_spl
| ~ sQ19_spl
| ~ sQ18_spl
| ~ sQ17_spl
| ~ sQ16_spl
| sQ12_spl ),
inference(split_clause,[status(thm)],[f41,f97,f114,f117,f120,f123,f126]) ).
fof(f131,plain,
( ~ sQ20_spl
| ~ sQ19_spl
| ~ sQ18_spl
| ~ sQ17_spl
| ~ sQ16_spl
| sQ13_spl ),
inference(split_clause,[status(thm)],[f42,f100,f114,f117,f120,f123,f126]) ).
fof(f132,plain,
( ~ sQ20_spl
| ~ sQ19_spl
| ~ sQ18_spl
| ~ sQ17_spl
| ~ sQ16_spl
| sQ14_spl ),
inference(split_clause,[status(thm)],[f43,f103,f114,f117,f120,f123,f126]) ).
fof(f133,plain,
( ~ sQ20_spl
| ~ sQ19_spl
| ~ sQ18_spl
| ~ sQ17_spl
| ~ sQ16_spl
| sQ15_spl ),
inference(split_clause,[status(thm)],[f44,f106,f114,f117,f120,f123,f126]) ).
fof(f134,definition,
( sQ21_spl
<=> p_5_1 ),
introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition]) ).
fof(f136,plain,
( sQ21_spl
| ~ p_5_1 ),
inference(component_clause,[status(thm)],[f134]) ).
fof(f137,definition,
( sQ22_spl
<=> p_5_2 ),
introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition]) ).
fof(f139,plain,
( sQ22_spl
| ~ p_5_2 ),
inference(component_clause,[status(thm)],[f137]) ).
fof(f140,definition,
( sQ23_spl
<=> p_5_3 ),
introduced(definition,[new_symbols(definition,[sQ23_spl])],[split_symbol_definition]) ).
fof(f142,plain,
( sQ23_spl
| ~ p_5_3 ),
inference(component_clause,[status(thm)],[f140]) ).
fof(f143,definition,
( sQ24_spl
<=> p_5_4 ),
introduced(definition,[new_symbols(definition,[sQ24_spl])],[split_symbol_definition]) ).
fof(f145,plain,
( sQ24_spl
| ~ p_5_4 ),
inference(component_clause,[status(thm)],[f143]) ).
fof(f146,definition,
( sQ25_spl
<=> p_5_5 ),
introduced(definition,[new_symbols(definition,[sQ25_spl])],[split_symbol_definition]) ).
fof(f148,plain,
( sQ25_spl
| ~ p_5_5 ),
inference(component_clause,[status(thm)],[f146]) ).
fof(f149,plain,
( ~ sQ25_spl
| ~ sQ24_spl
| ~ sQ23_spl
| ~ sQ22_spl
| ~ sQ21_spl
| sQ16_spl ),
inference(split_clause,[status(thm)],[f45,f114,f134,f137,f140,f143,f146]) ).
fof(f150,plain,
( ~ sQ25_spl
| ~ sQ24_spl
| ~ sQ23_spl
| ~ sQ22_spl
| ~ sQ21_spl
| sQ17_spl ),
inference(split_clause,[status(thm)],[f46,f117,f134,f137,f140,f143,f146]) ).
fof(f151,plain,
( ~ sQ25_spl
| ~ sQ24_spl
| ~ sQ23_spl
| ~ sQ22_spl
| ~ sQ21_spl
| sQ18_spl ),
inference(split_clause,[status(thm)],[f47,f120,f134,f137,f140,f143,f146]) ).
fof(f152,plain,
( ~ sQ25_spl
| ~ sQ24_spl
| ~ sQ23_spl
| ~ sQ22_spl
| ~ sQ21_spl
| sQ19_spl ),
inference(split_clause,[status(thm)],[f48,f123,f134,f137,f140,f143,f146]) ).
fof(f153,plain,
( ~ sQ25_spl
| ~ sQ24_spl
| ~ sQ23_spl
| ~ sQ22_spl
| ~ sQ21_spl
| sQ20_spl ),
inference(split_clause,[status(thm)],[f49,f126,f134,f137,f140,f143,f146]) ).
fof(f154,plain,
( sQ25_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f148,f54]) ).
fof(f155,plain,
sQ25_spl,
inference(contradiction_clause,[status(thm)],[f154]) ).
fof(f156,plain,
( sQ24_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f145,f53]) ).
fof(f157,plain,
sQ24_spl,
inference(contradiction_clause,[status(thm)],[f156]) ).
fof(f158,plain,
( sQ23_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f142,f52]) ).
fof(f159,plain,
sQ23_spl,
inference(contradiction_clause,[status(thm)],[f158]) ).
fof(f160,plain,
( sQ22_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f139,f51]) ).
fof(f161,plain,
sQ22_spl,
inference(contradiction_clause,[status(thm)],[f160]) ).
fof(f162,plain,
( sQ21_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f136,f50]) ).
fof(f163,plain,
sQ21_spl,
inference(contradiction_clause,[status(thm)],[f162]) ).
fof(f164,plain,
( ~ sQ0_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f56,f28]) ).
fof(f165,plain,
~ sQ0_spl,
inference(contradiction_clause,[status(thm)],[f164]) ).
fof(f166,plain,
$false,
inference(sat_refutation,[status(thm)],[f73,f89,f90,f91,f92,f93,f109,f110,f111,f112,f113,f129,f130,f131,f132,f133,f149,f150,f151,f152,f153,f155,f157,f159,f161,f163,f165]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN010-1.005.005 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.36 % Computer : n018.cluster.edu
% 0.08/0.36 % Model : x86_64 x86_64
% 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36 % Memory : 8046.5625MB
% 0.08/0.36 % OS : Linux 6.8.0-71-generic
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Mon Sep 21 10:41:14 UTC 2026
% 0.08/0.37 % CPUTime :
% 0.08/0.38 % Drodi V4.1.1
% 0.08/0.39 % Refutation found
% 0.08/0.39 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.08/0.39 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.08/0.42 % Elapsed time: 0.044941 seconds
% 0.08/0.42 % CPU time: 0.135537 seconds
% 0.08/0.42 % Total memory used: 41.902 MB
% 0.08/0.42 % Net memory used: 41.759 MB
%------------------------------------------------------------------------------