%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SYN003-1.006 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n009.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 03:14:53 PM UTC 2026
% Result : Unsatisfiable 0.14s 0.40s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 27
% Syntax : Number of formulae : 64 ( 13 unt; 13 def)
% Number of atoms : 130 ( 0 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 119 ( 53 ~; 53 |; 0 &)
% ( 13 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 0 ( 0 avg)
% Number of predicates : 27 ( 26 usr; 27 prp; 0-0 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 0 ( 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f5,negated_conjecture,
( p_6
| ~ q_5
| ~ p_5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,negated_conjecture,
( p_2
| ~ r_1
| ~ p_1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f7,negated_conjecture,
( p_3
| ~ r_2
| ~ p_2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f8,negated_conjecture,
( p_4
| ~ r_3
| ~ p_3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f9,negated_conjecture,
( p_5
| ~ r_4
| ~ p_4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f15,negated_conjecture,
( q_5
| ~ q ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f16,negated_conjecture,
( r_1
| ~ r ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f17,negated_conjecture,
( r_2
| ~ r ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f18,negated_conjecture,
( r_3
| ~ r ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f19,negated_conjecture,
( r_4
| ~ r ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f21,negated_conjecture,
p_1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f22,negated_conjecture,
~ p_6,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f23,negated_conjecture,
q,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f24,negated_conjecture,
r,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f29,plain,
( p_6
| ~ q_5
| ~ p_5 ),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f30,plain,
( p_2
| ~ r_1
| ~ p_1 ),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f31,plain,
( p_3
| ~ r_2
| ~ p_2 ),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f32,plain,
( p_4
| ~ r_3
| ~ p_3 ),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f33,plain,
( p_5
| ~ r_4
| ~ p_4 ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f39,plain,
( q_5
| ~ q ),
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f40,plain,
( r_1
| ~ r ),
inference(cnf_transformation,[status(thm)],[f16]) ).
fof(f41,plain,
( r_2
| ~ r ),
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f42,plain,
( r_3
| ~ r ),
inference(cnf_transformation,[status(thm)],[f18]) ).
fof(f43,plain,
( r_4
| ~ r ),
inference(cnf_transformation,[status(thm)],[f19]) ).
fof(f45,plain,
p_1,
inference(cnf_transformation,[status(thm)],[f21]) ).
fof(f46,plain,
~ p_6,
inference(cnf_transformation,[status(thm)],[f22]) ).
fof(f47,plain,
q,
inference(cnf_transformation,[status(thm)],[f23]) ).
fof(f48,plain,
r,
inference(cnf_transformation,[status(thm)],[f24]) ).
fof(f49,definition,
( sQ0_spl
<=> p_1 ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f51,plain,
( sQ0_spl
| ~ p_1 ),
inference(component_clause,[status(thm)],[f49]) ).
fof(f55,definition,
( sQ2_spl
<=> p_2 ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f62,definition,
( sQ4_spl
<=> p_3 ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f69,definition,
( sQ6_spl
<=> p_4 ),
introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).
fof(f76,definition,
( sQ8_spl
<=> p_5 ),
introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).
fof(f80,definition,
( sQ9_spl
<=> q_5 ),
introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition]) ).
fof(f83,definition,
( sQ10_spl
<=> p_6 ),
introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition]) ).
fof(f84,plain,
( ~ sQ10_spl
| p_6 ),
inference(component_clause,[status(thm)],[f83]) ).
fof(f86,plain,
( sQ10_spl
| ~ sQ9_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f29,f76,f80,f83]) ).
fof(f87,definition,
( sQ11_spl
<=> r_1 ),
introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition]) ).
fof(f90,plain,
( sQ2_spl
| ~ sQ11_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f30,f49,f87,f55]) ).
fof(f91,definition,
( sQ12_spl
<=> r_2 ),
introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition]) ).
fof(f94,plain,
( sQ4_spl
| ~ sQ12_spl
| ~ sQ2_spl ),
inference(split_clause,[status(thm)],[f31,f55,f91,f62]) ).
fof(f95,definition,
( sQ13_spl
<=> r_3 ),
introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition]) ).
fof(f98,plain,
( sQ6_spl
| ~ sQ13_spl
| ~ sQ4_spl ),
inference(split_clause,[status(thm)],[f32,f62,f95,f69]) ).
fof(f99,definition,
( sQ14_spl
<=> r_4 ),
introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition]) ).
fof(f102,plain,
( sQ8_spl
| ~ sQ14_spl
| ~ sQ6_spl ),
inference(split_clause,[status(thm)],[f33,f69,f99,f76]) ).
fof(f107,definition,
( sQ16_spl
<=> q ),
introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition]) ).
fof(f109,plain,
( sQ16_spl
| ~ q ),
inference(component_clause,[status(thm)],[f107]) ).
fof(f114,plain,
( sQ9_spl
| ~ sQ16_spl ),
inference(split_clause,[status(thm)],[f39,f107,f80]) ).
fof(f115,definition,
( sQ17_spl
<=> r ),
introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition]) ).
fof(f117,plain,
( sQ17_spl
| ~ r ),
inference(component_clause,[status(thm)],[f115]) ).
fof(f118,plain,
( sQ11_spl
| ~ sQ17_spl ),
inference(split_clause,[status(thm)],[f40,f115,f87]) ).
fof(f119,plain,
( sQ12_spl
| ~ sQ17_spl ),
inference(split_clause,[status(thm)],[f41,f115,f91]) ).
fof(f120,plain,
( sQ13_spl
| ~ sQ17_spl ),
inference(split_clause,[status(thm)],[f42,f115,f95]) ).
fof(f121,plain,
( sQ14_spl
| ~ sQ17_spl ),
inference(split_clause,[status(thm)],[f43,f115,f99]) ).
fof(f123,plain,
( sQ17_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f117,f48]) ).
fof(f124,plain,
sQ17_spl,
inference(contradiction_clause,[status(thm)],[f123]) ).
fof(f125,plain,
( sQ16_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f109,f47]) ).
fof(f126,plain,
sQ16_spl,
inference(contradiction_clause,[status(thm)],[f125]) ).
fof(f127,plain,
( ~ sQ10_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f84,f46]) ).
fof(f128,plain,
~ sQ10_spl,
inference(contradiction_clause,[status(thm)],[f127]) ).
fof(f129,plain,
( sQ0_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f51,f45]) ).
fof(f130,plain,
sQ0_spl,
inference(contradiction_clause,[status(thm)],[f129]) ).
fof(f131,plain,
$false,
inference(sat_refutation,[status(thm)],[f86,f90,f94,f98,f102,f114,f118,f119,f120,f121,f124,f126,f128,f130]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN003-1.006 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n009.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
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Mon Sep 21 10:38:57 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.14/0.38 % Drodi V4.1.1
% 0.14/0.40 % Refutation found
% 0.14/0.40 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/0.40 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.14/0.42 % Elapsed time: 0.046400 seconds
% 0.14/0.42 % CPU time: 0.136710 seconds
% 0.14/0.42 % Total memory used: 55.569 MB
% 0.14/0.42 % Net memory used: 55.243 MB
%------------------------------------------------------------------------------