%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SYN044-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n008.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 : Unsatisfiable 0.14s 5.40s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 9
% Syntax : Number of formulae : 22 ( 1 unt; 3 def)
% Number of atoms : 46 ( 0 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 42 ( 18 ~; 21 |; 0 &)
% ( 3 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 3 ( 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,
( r
| ~ q ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,axiom,
( p
| ~ r ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,axiom,
( q
| ~ r ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,axiom,
( r
| q
| ~ p ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5,negated_conjecture,
( ~ q
| ~ p ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f6,negated_conjecture,
( q
| p ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f7,plain,
( r
| ~ q ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f8,plain,
( p
| ~ r ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f9,plain,
( q
| ~ r ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f10,plain,
( r
| q
| ~ p ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f11,plain,
( ~ q
| ~ p ),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f12,plain,
( q
| p ),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f13,definition,
( sQ0_spl
<=> q ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f16,definition,
( sQ1_spl
<=> r ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f19,plain,
( sQ1_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f7,f13,f16]) ).
fof(f20,definition,
( sQ2_spl
<=> p ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f23,plain,
( sQ2_spl
| ~ sQ1_spl ),
inference(split_clause,[status(thm)],[f8,f16,f20]) ).
fof(f24,plain,
( sQ0_spl
| ~ sQ1_spl ),
inference(split_clause,[status(thm)],[f9,f16,f13]) ).
fof(f25,plain,
( sQ1_spl
| sQ0_spl
| ~ sQ2_spl ),
inference(split_clause,[status(thm)],[f10,f20,f13,f16]) ).
fof(f26,plain,
( ~ sQ0_spl
| ~ sQ2_spl ),
inference(split_clause,[status(thm)],[f11,f20,f13]) ).
fof(f27,plain,
( sQ0_spl
| sQ2_spl ),
inference(split_clause,[status(thm)],[f12,f20,f13]) ).
fof(f28,plain,
$false,
inference(sat_refutation,[status(thm)],[f19,f23,f24,f25,f26,f27]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN044-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/5.38 % Computer : n008.cluster.edu
% 0.09/5.38 % Model : x86_64 x86_64
% 0.09/5.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/5.38 % Memory : 8046.5625MB
% 0.09/5.38 % OS : Linux 6.8.0-71-generic
% 0.09/5.38 % CPULimit : 300
% 0.09/5.38 % WCLimit : 300
% 0.09/5.38 % DateTime : Mon Sep 21 10:41:01 UTC 2026
% 0.09/5.39 % CPUTime :
% 0.09/5.39 % Drodi V4.1.1
% 0.14/5.40 % Refutation found
% 0.14/5.40 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/5.40 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.14/5.42 % Elapsed time: 0.024227 seconds
% 0.14/5.42 % CPU time: 0.035861 seconds
% 0.14/5.42 % Total memory used: 513.072 KB
% 0.14/5.42 % Net memory used: 494.480 KB
%------------------------------------------------------------------------------