%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : GRA001-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n011.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 12:30:38 PM UTC 2026
% Result : Unsatisfiable 0.09s 0.38s
% Output : CNFRefutation 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 17
% Syntax : Number of formulae : 42 ( 1 unt; 5 def)
% Number of atoms : 107 ( 0 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 113 ( 48 ~; 60 |; 0 &)
% ( 5 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 0 ( 0 avg)
% Number of predicates : 11 ( 10 usr; 11 prp; 0-0 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 0 ( 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
( b
| a ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,negated_conjecture,
( ~ b
| ~ a ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,negated_conjecture,
( ~ d
| c
| a ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,negated_conjecture,
( d
| ~ c
| a ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,negated_conjecture,
( d
| c
| ~ a ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,negated_conjecture,
( ~ d
| ~ c
| ~ a ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f7,negated_conjecture,
( ~ e
| c
| b ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f8,negated_conjecture,
( e
| ~ c
| b ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f9,negated_conjecture,
( e
| c
| ~ b ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f10,negated_conjecture,
( ~ e
| ~ c
| ~ b ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f11,negated_conjecture,
( ~ e
| d ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f12,negated_conjecture,
( e
| ~ d ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f13,plain,
( b
| a ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f14,plain,
( ~ b
| ~ a ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f15,plain,
( ~ d
| c
| a ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f16,plain,
( d
| ~ c
| a ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f17,plain,
( d
| c
| ~ a ),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f18,plain,
( ~ d
| ~ c
| ~ a ),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f19,plain,
( ~ e
| c
| b ),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f20,plain,
( e
| ~ c
| b ),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f21,plain,
( e
| c
| ~ b ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f22,plain,
( ~ e
| ~ c
| ~ b ),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f23,plain,
( ~ e
| d ),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f24,plain,
( e
| ~ d ),
inference(cnf_transformation,[status(thm)],[f12]) ).
fof(f25,definition,
( sQ0_spl
<=> a ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f28,definition,
( sQ1_spl
<=> b ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f31,plain,
( sQ1_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f13,f25,f28]) ).
fof(f32,plain,
( ~ sQ1_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f14,f25,f28]) ).
fof(f33,definition,
( sQ2_spl
<=> c ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f36,definition,
( sQ3_spl
<=> d ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f39,plain,
( ~ sQ3_spl
| sQ2_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f15,f25,f33,f36]) ).
fof(f40,plain,
( sQ3_spl
| ~ sQ2_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f16,f25,f33,f36]) ).
fof(f41,plain,
( sQ3_spl
| sQ2_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f17,f25,f33,f36]) ).
fof(f42,plain,
( ~ sQ3_spl
| ~ sQ2_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f18,f25,f33,f36]) ).
fof(f43,definition,
( sQ4_spl
<=> e ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f46,plain,
( ~ sQ4_spl
| sQ2_spl
| sQ1_spl ),
inference(split_clause,[status(thm)],[f19,f28,f33,f43]) ).
fof(f47,plain,
( sQ4_spl
| ~ sQ2_spl
| sQ1_spl ),
inference(split_clause,[status(thm)],[f20,f28,f33,f43]) ).
fof(f48,plain,
( sQ4_spl
| sQ2_spl
| ~ sQ1_spl ),
inference(split_clause,[status(thm)],[f21,f28,f33,f43]) ).
fof(f49,plain,
( ~ sQ4_spl
| ~ sQ2_spl
| ~ sQ1_spl ),
inference(split_clause,[status(thm)],[f22,f28,f33,f43]) ).
fof(f50,plain,
( ~ sQ4_spl
| sQ3_spl ),
inference(split_clause,[status(thm)],[f23,f36,f43]) ).
fof(f51,plain,
( sQ4_spl
| ~ sQ3_spl ),
inference(split_clause,[status(thm)],[f24,f36,f43]) ).
fof(f52,plain,
$false,
inference(sat_refutation,[status(thm)],[f31,f32,f39,f40,f41,f42,f46,f47,f48,f49,f50,f51]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRA001-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n011.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Sun Sep 20 18:16:11 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 % Drodi V4.1.1
% 0.09/0.38 % Refutation found
% 0.09/0.38 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.09/0.38 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.09/0.40 % Elapsed time: 0.031944 seconds
% 0.09/0.40 % CPU time: 0.070541 seconds
% 0.09/0.40 % Total memory used: 7.233 MB
% 0.09/0.40 % Net memory used: 7.009 MB
%------------------------------------------------------------------------------