%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SYN004-1.007 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n014.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 03:14:54 PM UTC 2026
% Result : Unsatisfiable 0.08s 0.37s
% Output : CNFRefutation 0.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 29
% Syntax : Number of formulae : 64 ( 7 unt; 14 def)
% Number of atoms : 157 ( 0 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 173 ( 80 ~; 79 |; 0 &)
% ( 14 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 0 ( 0 avg)
% Number of predicates : 29 ( 28 usr; 29 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_2
| ~ q_1
| ~ p_1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,negated_conjecture,
( p_3
| ~ q_2
| ~ p_2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,negated_conjecture,
( p_4
| ~ q_3
| ~ p_3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,negated_conjecture,
( p_5
| ~ q_4
| ~ p_4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5,negated_conjecture,
( p_6
| ~ q_5
| ~ p_5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f6,negated_conjecture,
( p_7
| ~ q_6
| ~ p_6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f7,negated_conjecture,
( q_2
| ~ q_1
| ~ p_1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f8,negated_conjecture,
( q_3
| ~ q_2
| ~ p_2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f9,negated_conjecture,
( q_4
| ~ q_3
| ~ p_3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f10,negated_conjecture,
( q_5
| ~ q_4
| ~ p_4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f11,negated_conjecture,
( q_6
| ~ q_5
| ~ p_5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f12,negated_conjecture,
( q_7
| ~ q_6
| ~ p_6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f13,negated_conjecture,
p_1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f14,negated_conjecture,
q_1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f15,negated_conjecture,
( ~ q_7
| ~ p_7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f16,plain,
( p_2
| ~ q_1
| ~ p_1 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f17,plain,
( p_3
| ~ q_2
| ~ p_2 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f18,plain,
( p_4
| ~ q_3
| ~ p_3 ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f19,plain,
( p_5
| ~ q_4
| ~ p_4 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f20,plain,
( p_6
| ~ q_5
| ~ p_5 ),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f21,plain,
( p_7
| ~ q_6
| ~ p_6 ),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f22,plain,
( q_2
| ~ q_1
| ~ p_1 ),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f23,plain,
( q_3
| ~ q_2
| ~ p_2 ),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f24,plain,
( q_4
| ~ q_3
| ~ p_3 ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f25,plain,
( q_5
| ~ q_4
| ~ p_4 ),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f26,plain,
( q_6
| ~ q_5
| ~ p_5 ),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f27,plain,
( q_7
| ~ q_6
| ~ p_6 ),
inference(cnf_transformation,[status(thm)],[f12]) ).
fof(f28,plain,
p_1,
inference(cnf_transformation,[status(thm)],[f13]) ).
fof(f29,plain,
q_1,
inference(cnf_transformation,[status(thm)],[f14]) ).
fof(f30,plain,
( ~ q_7
| ~ p_7 ),
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f31,definition,
( sQ0_spl
<=> p_1 ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f33,plain,
( sQ0_spl
| ~ p_1 ),
inference(component_clause,[status(thm)],[f31]) ).
fof(f34,definition,
( sQ1_spl
<=> q_1 ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f36,plain,
( sQ1_spl
| ~ q_1 ),
inference(component_clause,[status(thm)],[f34]) ).
fof(f37,definition,
( sQ2_spl
<=> p_2 ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f40,plain,
( sQ2_spl
| ~ sQ1_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f16,f31,f34,f37]) ).
fof(f41,definition,
( sQ3_spl
<=> q_2 ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f44,definition,
( sQ4_spl
<=> p_3 ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f47,plain,
( sQ4_spl
| ~ sQ3_spl
| ~ sQ2_spl ),
inference(split_clause,[status(thm)],[f17,f37,f41,f44]) ).
fof(f48,definition,
( sQ5_spl
<=> q_3 ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f51,definition,
( sQ6_spl
<=> p_4 ),
introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).
fof(f54,plain,
( sQ6_spl
| ~ sQ5_spl
| ~ sQ4_spl ),
inference(split_clause,[status(thm)],[f18,f44,f48,f51]) ).
fof(f55,definition,
( sQ7_spl
<=> q_4 ),
introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).
fof(f58,definition,
( sQ8_spl
<=> p_5 ),
introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).
fof(f61,plain,
( sQ8_spl
| ~ sQ7_spl
| ~ sQ6_spl ),
inference(split_clause,[status(thm)],[f19,f51,f55,f58]) ).
fof(f62,definition,
( sQ9_spl
<=> q_5 ),
introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition]) ).
fof(f65,definition,
( sQ10_spl
<=> p_6 ),
introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition]) ).
fof(f68,plain,
( sQ10_spl
| ~ sQ9_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f20,f58,f62,f65]) ).
fof(f69,definition,
( sQ11_spl
<=> q_6 ),
introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition]) ).
fof(f72,definition,
( sQ12_spl
<=> p_7 ),
introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition]) ).
fof(f75,plain,
( sQ12_spl
| ~ sQ11_spl
| ~ sQ10_spl ),
inference(split_clause,[status(thm)],[f21,f65,f69,f72]) ).
fof(f76,plain,
( sQ3_spl
| ~ sQ1_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f22,f31,f34,f41]) ).
fof(f77,plain,
( sQ5_spl
| ~ sQ3_spl
| ~ sQ2_spl ),
inference(split_clause,[status(thm)],[f23,f37,f41,f48]) ).
fof(f78,plain,
( sQ7_spl
| ~ sQ5_spl
| ~ sQ4_spl ),
inference(split_clause,[status(thm)],[f24,f44,f48,f55]) ).
fof(f79,plain,
( sQ9_spl
| ~ sQ7_spl
| ~ sQ6_spl ),
inference(split_clause,[status(thm)],[f25,f51,f55,f62]) ).
fof(f80,plain,
( sQ11_spl
| ~ sQ9_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f26,f58,f62,f69]) ).
fof(f81,definition,
( sQ13_spl
<=> q_7 ),
introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition]) ).
fof(f84,plain,
( sQ13_spl
| ~ sQ11_spl
| ~ sQ10_spl ),
inference(split_clause,[status(thm)],[f27,f65,f69,f81]) ).
fof(f85,plain,
( ~ sQ13_spl
| ~ sQ12_spl ),
inference(split_clause,[status(thm)],[f30,f72,f81]) ).
fof(f86,plain,
( sQ0_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f33,f28]) ).
fof(f87,plain,
sQ0_spl,
inference(contradiction_clause,[status(thm)],[f86]) ).
fof(f88,plain,
( sQ1_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f36,f29]) ).
fof(f89,plain,
sQ1_spl,
inference(contradiction_clause,[status(thm)],[f88]) ).
fof(f90,plain,
$false,
inference(sat_refutation,[status(thm)],[f40,f47,f54,f61,f68,f75,f76,f77,f78,f79,f80,f84,f85,f87,f89]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN004-1.007 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.03 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.34 % Computer : n014.cluster.edu
% 0.08/0.34 % Model : x86_64 x86_64
% 0.08/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.34 % Memory : 8046.5625MB
% 0.08/0.34 % OS : Linux 6.8.0-71-generic
% 0.08/0.34 % CPULimit : 300
% 0.08/0.34 % WCLimit : 300
% 0.08/0.34 % DateTime : Mon Sep 21 10:38:49 UTC 2026
% 0.08/0.34 % CPUTime :
% 0.08/0.35 % Drodi V4.1.1
% 0.08/0.37 % Refutation found
% 0.08/0.37 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.08/0.37 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.14/0.40 % Elapsed time: 0.048317 seconds
% 0.14/0.40 % CPU time: 0.128729 seconds
% 0.14/0.40 % Total memory used: 55.400 MB
% 0.14/0.40 % Net memory used: 54.977 MB
%------------------------------------------------------------------------------