%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SYN044+1 : TPTP v9.3.1. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n007.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 03:14:59 PM UTC 2026
% Result : Theorem 0.10s 0.39s
% Output : CNFRefutation 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 7
% Syntax : Number of formulae : 26 ( 1 unt; 3 def)
% Number of atoms : 59 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 51 ( 18 ~; 21 |; 3 &)
% ( 5 <=>; 3 =>; 0 <=; 1 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 0 ( 0 avg)
% Number of predicates : 7 ( 6 usr; 7 prp; 0-0 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 0 ( 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
( q
=> r ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,axiom,
( r
=> ( q
& p ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,axiom,
( p
=> ( r
| q ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,conjecture,
( p
<=> q ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,negated_conjecture,
~ ( p
<=> q ),
inference(negated_conjecture,[status(cth)],[f4]) ).
fof(f6,plain,
( r
| ~ q ),
inference(pre_NNF_transformation,[status(thm)],[f1]) ).
fof(f7,plain,
( r
| ~ q ),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f8,plain,
( ( q
& p )
| ~ r ),
inference(pre_NNF_transformation,[status(thm)],[f2]) ).
fof(f9,plain,
( p
| ~ r ),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f10,plain,
( q
| ~ r ),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f11,plain,
( r
| q
| ~ p ),
inference(pre_NNF_transformation,[status(thm)],[f3]) ).
fof(f12,plain,
( r
| q
| ~ p ),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f13,plain,
( p
<~> q ),
inference(pre_NNF_transformation,[status(thm)],[f5]) ).
fof(f14,plain,
( ( ~ q
| ~ p )
& ( q
| p ) ),
inference(NNF_transformation,[status(thm)],[f13]) ).
fof(f15,plain,
( q
| p ),
inference(cnf_transformation,[status(thm)],[f14]) ).
fof(f16,plain,
( ~ q
| ~ p ),
inference(cnf_transformation,[status(thm)],[f14]) ).
fof(f17,definition,
( sQ0_spl
<=> q ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f20,definition,
( sQ1_spl
<=> r ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f23,plain,
( sQ1_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f7,f17,f20]) ).
fof(f24,definition,
( sQ2_spl
<=> p ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f27,plain,
( sQ2_spl
| ~ sQ1_spl ),
inference(split_clause,[status(thm)],[f9,f20,f24]) ).
fof(f28,plain,
( sQ0_spl
| ~ sQ1_spl ),
inference(split_clause,[status(thm)],[f10,f20,f17]) ).
fof(f29,plain,
( sQ1_spl
| sQ0_spl
| ~ sQ2_spl ),
inference(split_clause,[status(thm)],[f12,f24,f17,f20]) ).
fof(f30,plain,
( sQ0_spl
| sQ2_spl ),
inference(split_clause,[status(thm)],[f15,f24,f17]) ).
fof(f31,plain,
( ~ sQ0_spl
| ~ sQ2_spl ),
inference(split_clause,[status(thm)],[f16,f24,f17]) ).
fof(f32,plain,
$false,
inference(sat_refutation,[status(thm)],[f23,f27,f28,f29,f30,f31]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN044+1 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n007.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Mon Sep 21 10:38:05 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 % Drodi V4.1.1
% 0.10/0.39 % Refutation found
% 0.10/0.39 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.10/0.39 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.10/0.41 % Elapsed time: 0.035661 seconds
% 0.10/0.41 % CPU time: 0.080028 seconds
% 0.10/0.41 % Total memory used: 11.815 MB
% 0.10/0.41 % Net memory used: 11.391 MB
%------------------------------------------------------------------------------