%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SYN047-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n017.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 03:15:00 PM UTC 2026
% Result : Unsatisfiable 0.14s 0.39s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 9
% Syntax : Number of formulae : 24 ( 7 unt; 4 def)
% Number of atoms : 47 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 41 ( 18 ~; 19 |; 0 &)
% ( 4 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 0 ( 0 avg)
% Number of predicates : 9 ( 8 usr; 9 prp; 0-0 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 0 ( 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
p,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,negated_conjecture,
( s
| q
| ~ p ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,negated_conjecture,
( s
| ~ r
| ~ p ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,negated_conjecture,
~ s,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,negated_conjecture,
( r
| ~ q ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,plain,
p,
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f7,plain,
( s
| q
| ~ p ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f8,plain,
( s
| ~ r
| ~ p ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f9,plain,
~ s,
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f10,plain,
( r
| ~ q ),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f11,definition,
( sQ0_spl
<=> p ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f13,plain,
( sQ0_spl
| ~ p ),
inference(component_clause,[status(thm)],[f11]) ).
fof(f14,definition,
( sQ1_spl
<=> q ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f17,definition,
( sQ2_spl
<=> s ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f18,plain,
( ~ sQ2_spl
| s ),
inference(component_clause,[status(thm)],[f17]) ).
fof(f20,plain,
( sQ2_spl
| sQ1_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f7,f11,f14,f17]) ).
fof(f21,definition,
( sQ3_spl
<=> r ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f24,plain,
( sQ2_spl
| ~ sQ3_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f8,f11,f21,f17]) ).
fof(f25,plain,
( sQ3_spl
| ~ sQ1_spl ),
inference(split_clause,[status(thm)],[f10,f14,f21]) ).
fof(f26,plain,
( sQ0_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f13,f6]) ).
fof(f27,plain,
sQ0_spl,
inference(contradiction_clause,[status(thm)],[f26]) ).
fof(f28,plain,
( ~ sQ2_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f18,f9]) ).
fof(f29,plain,
~ sQ2_spl,
inference(contradiction_clause,[status(thm)],[f28]) ).
fof(f30,plain,
$false,
inference(sat_refutation,[status(thm)],[f20,f24,f25,f27,f29]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN047-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.37 % Computer : n017.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Mon Sep 21 10:35:42 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 % Drodi V4.1.1
% 0.14/0.39 % Refutation found
% 0.14/0.39 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/0.39 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.14/0.42 % Elapsed time: 0.040815 seconds
% 0.14/0.42 % CPU time: 0.112532 seconds
% 0.14/0.42 % Total memory used: 16.413 MB
% 0.14/0.42 % Net memory used: 15.825 MB
%------------------------------------------------------------------------------