%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SYN097-1.002 : TPTP v9.3.1. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n020.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 0.20s 0.50s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 25
% Syntax : Number of formulae : 54 ( 4 unt; 12 def)
% Number of atoms : 119 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 106 ( 41 ~; 53 |; 0 &)
% ( 12 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 0 ( 0 avg)
% Number of predicates : 25 ( 24 usr; 25 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_1_2
| u_1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,axiom,
~ u_1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,axiom,
( ~ u_2
| p_1_2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,axiom,
( ~ q_1_1
| ~ q_2_2
| p_1_2
| u_3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,axiom,
( ~ u_3
| p_1_2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f9,axiom,
( ~ p_1_1
| ~ q_2_2
| q_1_2
| u_5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f10,axiom,
( ~ u_5
| q_1_2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f13,axiom,
( ~ q_1_2
| q_1_1
| u_7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f14,axiom,
( ~ u_7
| q_1_1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f19,axiom,
( p_1_1
| u_10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f20,axiom,
( ~ u_10
| p_1_1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f25,axiom,
( q_2_2
| u_13 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f26,axiom,
( ~ u_13
| q_2_2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f53,plain,
( ~ p_1_2
| u_1 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f54,plain,
~ u_1,
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f56,plain,
( ~ u_2
| p_1_2 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f57,plain,
( ~ q_1_1
| ~ q_2_2
| p_1_2
| u_3 ),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f58,plain,
( ~ u_3
| p_1_2 ),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f61,plain,
( ~ p_1_1
| ~ q_2_2
| q_1_2
| u_5 ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f62,plain,
( ~ u_5
| q_1_2 ),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f65,plain,
( ~ q_1_2
| q_1_1
| u_7 ),
inference(cnf_transformation,[status(thm)],[f13]) ).
fof(f66,plain,
( ~ u_7
| q_1_1 ),
inference(cnf_transformation,[status(thm)],[f14]) ).
fof(f71,plain,
( p_1_1
| u_10 ),
inference(cnf_transformation,[status(thm)],[f19]) ).
fof(f72,plain,
( ~ u_10
| p_1_1 ),
inference(cnf_transformation,[status(thm)],[f20]) ).
fof(f77,plain,
( q_2_2
| u_13 ),
inference(cnf_transformation,[status(thm)],[f25]) ).
fof(f78,plain,
( ~ u_13
| q_2_2 ),
inference(cnf_transformation,[status(thm)],[f26]) ).
fof(f105,definition,
( sQ0_spl
<=> u_1 ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f106,plain,
( ~ sQ0_spl
| u_1 ),
inference(component_clause,[status(thm)],[f105]) ).
fof(f108,definition,
( sQ1_spl
<=> p_1_2 ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f111,plain,
( ~ sQ1_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f53,f105,f108]) ).
fof(f112,definition,
( sQ2_spl
<=> u_2 ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f118,definition,
( sQ4_spl
<=> p_1_1 ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f122,plain,
( ~ sQ2_spl
| sQ1_spl ),
inference(split_clause,[status(thm)],[f56,f108,f112]) ).
fof(f123,definition,
( sQ5_spl
<=> u_3 ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f126,definition,
( sQ6_spl
<=> q_2_2 ),
introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).
fof(f129,definition,
( sQ7_spl
<=> q_1_1 ),
introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).
fof(f132,plain,
( ~ sQ7_spl
| ~ sQ6_spl
| sQ1_spl
| sQ5_spl ),
inference(split_clause,[status(thm)],[f57,f123,f108,f126,f129]) ).
fof(f133,plain,
( ~ sQ5_spl
| sQ1_spl ),
inference(split_clause,[status(thm)],[f58,f108,f123]) ).
fof(f137,definition,
( sQ9_spl
<=> q_1_2 ),
introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition]) ).
fof(f142,definition,
( sQ10_spl
<=> u_5 ),
introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition]) ).
fof(f145,plain,
( ~ sQ4_spl
| ~ sQ6_spl
| sQ9_spl
| sQ10_spl ),
inference(split_clause,[status(thm)],[f61,f142,f137,f126,f118]) ).
fof(f146,plain,
( ~ sQ10_spl
| sQ9_spl ),
inference(split_clause,[status(thm)],[f62,f137,f142]) ).
fof(f152,definition,
( sQ12_spl
<=> u_7 ),
introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition]) ).
fof(f155,plain,
( ~ sQ9_spl
| sQ7_spl
| sQ12_spl ),
inference(split_clause,[status(thm)],[f65,f152,f129,f137]) ).
fof(f156,plain,
( ~ sQ12_spl
| sQ7_spl ),
inference(split_clause,[status(thm)],[f66,f129,f152]) ).
fof(f167,definition,
( sQ15_spl
<=> u_10 ),
introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition]) ).
fof(f170,plain,
( sQ4_spl
| sQ15_spl ),
inference(split_clause,[status(thm)],[f71,f167,f118]) ).
fof(f171,plain,
( ~ sQ15_spl
| sQ4_spl ),
inference(split_clause,[status(thm)],[f72,f118,f167]) ).
fof(f182,definition,
( sQ18_spl
<=> u_13 ),
introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition]) ).
fof(f185,plain,
( sQ6_spl
| sQ18_spl ),
inference(split_clause,[status(thm)],[f77,f182,f126]) ).
fof(f186,plain,
( ~ sQ18_spl
| sQ6_spl ),
inference(split_clause,[status(thm)],[f78,f126,f182]) ).
fof(f187,plain,
( ~ sQ0_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f106,f54]) ).
fof(f188,plain,
~ sQ0_spl,
inference(contradiction_clause,[status(thm)],[f187]) ).
fof(f189,plain,
$false,
inference(sat_refutation,[status(thm)],[f111,f122,f132,f133,f145,f146,f155,f156,f170,f171,f185,f186,f188]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SYN097-1.002 : TPTP v9.3.1. Bugfixed v1.2.1.
% 0.00/0.07 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.46 % Computer : n020.cluster.edu
% 0.20/0.46 % Model : x86_64 x86_64
% 0.20/0.46 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.20/0.46 % Memory : 8046.5625MB
% 0.20/0.46 % OS : Linux 6.8.0-71-generic
% 0.20/0.46 % CPULimit : 300
% 0.20/0.46 % WCLimit : 300
% 0.20/0.46 % DateTime : Mon Sep 21 10:44:17 UTC 2026
% 0.20/0.47 % CPUTime :
% 0.20/0.49 % Drodi V4.1.1
% 0.20/0.50 % Refutation found
% 0.20/0.50 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.20/0.50 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.24/0.59 % Elapsed time: 0.104633 seconds
% 0.24/0.59 % CPU time: 0.067685 seconds
% 0.24/0.59 % Total memory used: 544.400 KB
% 0.24/0.59 % Net memory used: 535.856 KB
%------------------------------------------------------------------------------