%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SYN093-1.002 : TPTP v9.3.1. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n003.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 03:15:12 PM UTC 2026
% Result : Unsatisfiable 0.14s 0.59s
% Output : CNFRefutation 0.14s
% 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(f27,plain,
( ~ p_1_2
| u_1 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f28,plain,
~ u_1,
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f30,plain,
( ~ u_2
| p_1_2 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f31,plain,
( ~ q_1_1
| ~ q_2_2
| p_1_2
| u_3 ),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f32,plain,
( ~ u_3
| p_1_2 ),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f35,plain,
( ~ p_1_1
| ~ q_2_2
| q_1_2
| u_5 ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f36,plain,
( ~ u_5
| q_1_2 ),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f39,plain,
( ~ q_1_2
| q_1_1
| u_7 ),
inference(cnf_transformation,[status(thm)],[f13]) ).
fof(f40,plain,
( ~ u_7
| q_1_1 ),
inference(cnf_transformation,[status(thm)],[f14]) ).
fof(f45,plain,
( p_1_1
| u_10 ),
inference(cnf_transformation,[status(thm)],[f19]) ).
fof(f46,plain,
( ~ u_10
| p_1_1 ),
inference(cnf_transformation,[status(thm)],[f20]) ).
fof(f51,plain,
( q_2_2
| u_13 ),
inference(cnf_transformation,[status(thm)],[f25]) ).
fof(f52,plain,
( ~ u_13
| q_2_2 ),
inference(cnf_transformation,[status(thm)],[f26]) ).
fof(f53,definition,
( sQ0_spl
<=> u_1 ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f54,plain,
( ~ sQ0_spl
| u_1 ),
inference(component_clause,[status(thm)],[f53]) ).
fof(f56,definition,
( sQ1_spl
<=> p_1_2 ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f59,plain,
( ~ sQ1_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f27,f53,f56]) ).
fof(f60,definition,
( sQ2_spl
<=> u_2 ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f66,definition,
( sQ4_spl
<=> p_1_1 ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f70,plain,
( ~ sQ2_spl
| sQ1_spl ),
inference(split_clause,[status(thm)],[f30,f56,f60]) ).
fof(f71,definition,
( sQ5_spl
<=> u_3 ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f74,definition,
( sQ6_spl
<=> q_2_2 ),
introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).
fof(f77,definition,
( sQ7_spl
<=> q_1_1 ),
introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).
fof(f80,plain,
( ~ sQ7_spl
| ~ sQ6_spl
| sQ1_spl
| sQ5_spl ),
inference(split_clause,[status(thm)],[f31,f71,f56,f74,f77]) ).
fof(f81,plain,
( ~ sQ5_spl
| sQ1_spl ),
inference(split_clause,[status(thm)],[f32,f56,f71]) ).
fof(f85,definition,
( sQ9_spl
<=> q_1_2 ),
introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition]) ).
fof(f90,definition,
( sQ10_spl
<=> u_5 ),
introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition]) ).
fof(f93,plain,
( ~ sQ4_spl
| ~ sQ6_spl
| sQ9_spl
| sQ10_spl ),
inference(split_clause,[status(thm)],[f35,f90,f85,f74,f66]) ).
fof(f94,plain,
( ~ sQ10_spl
| sQ9_spl ),
inference(split_clause,[status(thm)],[f36,f85,f90]) ).
fof(f100,definition,
( sQ12_spl
<=> u_7 ),
introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition]) ).
fof(f103,plain,
( ~ sQ9_spl
| sQ7_spl
| sQ12_spl ),
inference(split_clause,[status(thm)],[f39,f100,f77,f85]) ).
fof(f104,plain,
( ~ sQ12_spl
| sQ7_spl ),
inference(split_clause,[status(thm)],[f40,f77,f100]) ).
fof(f115,definition,
( sQ15_spl
<=> u_10 ),
introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition]) ).
fof(f118,plain,
( sQ4_spl
| sQ15_spl ),
inference(split_clause,[status(thm)],[f45,f115,f66]) ).
fof(f119,plain,
( ~ sQ15_spl
| sQ4_spl ),
inference(split_clause,[status(thm)],[f46,f66,f115]) ).
fof(f130,definition,
( sQ18_spl
<=> u_13 ),
introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition]) ).
fof(f133,plain,
( sQ6_spl
| sQ18_spl ),
inference(split_clause,[status(thm)],[f51,f130,f74]) ).
fof(f134,plain,
( ~ sQ18_spl
| sQ6_spl ),
inference(split_clause,[status(thm)],[f52,f74,f130]) ).
fof(f135,plain,
( ~ sQ0_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f28,f54]) ).
fof(f136,plain,
~ sQ0_spl,
inference(contradiction_clause,[status(thm)],[f135]) ).
fof(f137,plain,
$false,
inference(sat_refutation,[status(thm)],[f59,f70,f80,f81,f93,f94,f103,f104,f118,f119,f133,f134,f136]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN093-1.002 : TPTP v9.3.1. Bugfixed v1.2.1.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.56 % Computer : n003.cluster.edu
% 0.10/0.56 % Model : x86_64 x86_64
% 0.10/0.56 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.56 % Memory : 8046.5625MB
% 0.10/0.56 % OS : Linux 6.8.0-71-generic
% 0.10/0.56 % CPULimit : 300
% 0.10/0.56 % WCLimit : 300
% 0.10/0.56 % DateTime : Mon Sep 21 10:44:32 UTC 2026
% 0.10/0.56 % CPUTime :
% 0.10/0.57 % Drodi V4.1.1
% 0.14/0.59 % Refutation found
% 0.14/0.59 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/0.59 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.14/0.61 % Elapsed time: 0.044070 seconds
% 0.14/0.61 % CPU time: 0.114965 seconds
% 0.14/0.61 % Total memory used: 16.874 MB
% 0.14/0.61 % Net memory used: 16.591 MB
%------------------------------------------------------------------------------