%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SYN030-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n012.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 03:14:56 PM UTC 2026
% Result : Unsatisfiable 0.03s 0.31s
% Output : CNFRefutation 0.03s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 12
% Syntax : Number of formulae : 27 ( 1 unt; 5 def)
% Number of atoms : 62 ( 0 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 65 ( 30 ~; 30 |; 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,axiom,
( p
| ~ s
| ~ t ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,axiom,
( s
| ~ r ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,axiom,
( t
| ~ q
| ~ r ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,axiom,
( r
| ~ q ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,axiom,
( r
| q ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f7,axiom,
( q
| ~ r ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f9,negated_conjecture,
( ~ r
| ~ q
| ~ p ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f10,plain,
( p
| ~ s
| ~ t ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f11,plain,
( s
| ~ r ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f13,plain,
( t
| ~ q
| ~ r ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f14,plain,
( r
| ~ q ),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f15,plain,
( r
| q ),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f16,plain,
( q
| ~ r ),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f18,plain,
( ~ r
| ~ q
| ~ p ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f19,definition,
( sQ0_spl
<=> t ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f22,definition,
( sQ1_spl
<=> s ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f25,definition,
( sQ2_spl
<=> p ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f28,plain,
( sQ2_spl
| ~ sQ1_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f10,f19,f22,f25]) ).
fof(f29,definition,
( sQ3_spl
<=> r ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f32,plain,
( sQ1_spl
| ~ sQ3_spl ),
inference(split_clause,[status(thm)],[f11,f29,f22]) ).
fof(f34,definition,
( sQ4_spl
<=> q ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f37,plain,
( sQ0_spl
| ~ sQ4_spl
| ~ sQ3_spl ),
inference(split_clause,[status(thm)],[f13,f29,f34,f19]) ).
fof(f38,plain,
( sQ3_spl
| ~ sQ4_spl ),
inference(split_clause,[status(thm)],[f14,f34,f29]) ).
fof(f39,plain,
( sQ3_spl
| sQ4_spl ),
inference(split_clause,[status(thm)],[f15,f34,f29]) ).
fof(f40,plain,
( sQ4_spl
| ~ sQ3_spl ),
inference(split_clause,[status(thm)],[f16,f29,f34]) ).
fof(f42,plain,
( ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ2_spl ),
inference(split_clause,[status(thm)],[f18,f25,f34,f29]) ).
fof(f43,plain,
$false,
inference(sat_refutation,[status(thm)],[f28,f32,f37,f38,f39,f40,f42]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : SYN030-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.02 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.03/0.30 % Computer : n012.cluster.edu
% 0.03/0.30 % Model : x86_64 x86_64
% 0.03/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.03/0.30 % Memory : 8046.5625MB
% 0.03/0.30 % OS : Linux 6.8.0-71-generic
% 0.03/0.30 % CPULimit : 300
% 0.03/0.30 % WCLimit : 300
% 0.03/0.30 % DateTime : Mon Sep 21 10:39:21 UTC 2026
% 0.03/0.30 % CPUTime :
% 0.03/0.30 % Drodi V4.1.1
% 0.03/0.31 % Refutation found
% 0.03/0.31 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.03/0.31 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.03/0.32 % Elapsed time: 0.024769 seconds
% 0.03/0.32 % CPU time: 0.058452 seconds
% 0.03/0.32 % Total memory used: 16.489 MB
% 0.03/0.32 % Net memory used: 15.929 MB
%------------------------------------------------------------------------------