%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SYN978+1 : TPTP v9.3.1. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n006.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 03:18:37 PM UTC 2026
% Result : Theorem 0.13s 0.38s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 3
% Syntax : Number of formulae : 17 ( 5 unt; 2 def)
% Number of atoms : 39 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 31 ( 9 ~; 8 |; 7 &)
% ( 4 <=>; 2 =>; 0 <=; 1 <~>)
% Maximal formula depth : 6 ( 2 avg)
% Maximal term depth : 0 ( 0 avg)
% Number of predicates : 5 ( 4 usr; 5 prp; 0-0 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 0 ( 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
( ( b
& a )
=> ( a
<=> b ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,negated_conjecture,
~ ( ( b
& a )
=> ( a
<=> b ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f3,plain,
( ( a
<~> b )
& b
& a ),
inference(pre_NNF_transformation,[status(thm)],[f2]) ).
fof(f4,plain,
( ( ~ b
| ~ a )
& ( b
| a )
& b
& a ),
inference(NNF_transformation,[status(thm)],[f3]) ).
fof(f5,plain,
a,
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f6,plain,
b,
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f8,plain,
( ~ b
| ~ a ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f9,definition,
( sQ0_spl
<=> a ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f11,plain,
( sQ0_spl
| ~ a ),
inference(component_clause,[status(thm)],[f9]) ).
fof(f12,definition,
( sQ1_spl
<=> b ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f14,plain,
( sQ1_spl
| ~ b ),
inference(component_clause,[status(thm)],[f12]) ).
fof(f16,plain,
( ~ sQ1_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f8,f9,f12]) ).
fof(f17,plain,
( sQ0_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f11,f5]) ).
fof(f18,plain,
sQ0_spl,
inference(contradiction_clause,[status(thm)],[f17]) ).
fof(f19,plain,
( sQ1_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f14,f6]) ).
fof(f20,plain,
sQ1_spl,
inference(contradiction_clause,[status(thm)],[f19]) ).
fof(f21,plain,
$false,
inference(sat_refutation,[status(thm)],[f16,f18,f20]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN978+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.03 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n006.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 : Mon Sep 21 11:31:29 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.13/0.36 % Drodi V4.1.1
% 0.13/0.38 % Refutation found
% 0.13/0.38 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.13/0.38 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.13/0.41 % Elapsed time: 0.042754 seconds
% 0.13/0.41 % CPU time: 0.109396 seconds
% 0.13/0.41 % Total memory used: 16.415 MB
% 0.13/0.41 % Net memory used: 15.798 MB
%------------------------------------------------------------------------------