%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SYN028-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n026.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 0.14s 0.40s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 11
% Syntax : Number of formulae : 26 ( 4 unt; 5 def)
% Number of atoms : 51 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 45 ( 20 ~; 20 |; 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
| q ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,axiom,
( r
| ~ q ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,axiom,
( s
| ~ r ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,axiom,
( t
| ~ r
| ~ s ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,axiom,
( p
| ~ t ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,negated_conjecture,
~ p,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f7,plain,
( p
| q ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f8,plain,
( r
| ~ q ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f9,plain,
( s
| ~ r ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f10,plain,
( t
| ~ r
| ~ s ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f11,plain,
( p
| ~ t ),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f12,plain,
~ 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
<=> p ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f17,plain,
( ~ sQ1_spl
| p ),
inference(component_clause,[status(thm)],[f16]) ).
fof(f19,plain,
( sQ1_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f7,f13,f16]) ).
fof(f20,definition,
( sQ2_spl
<=> r ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f23,plain,
( sQ2_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f8,f13,f20]) ).
fof(f24,definition,
( sQ3_spl
<=> s ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f27,plain,
( sQ3_spl
| ~ sQ2_spl ),
inference(split_clause,[status(thm)],[f9,f20,f24]) ).
fof(f28,definition,
( sQ4_spl
<=> t ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f31,plain,
( sQ4_spl
| ~ sQ2_spl
| ~ sQ3_spl ),
inference(split_clause,[status(thm)],[f10,f24,f20,f28]) ).
fof(f32,plain,
( sQ1_spl
| ~ sQ4_spl ),
inference(split_clause,[status(thm)],[f11,f28,f16]) ).
fof(f33,plain,
( ~ sQ1_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f17,f12]) ).
fof(f34,plain,
~ sQ1_spl,
inference(contradiction_clause,[status(thm)],[f33]) ).
fof(f35,plain,
$false,
inference(sat_refutation,[status(thm)],[f19,f23,f27,f31,f32,f34]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN028-1 : 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 : n026.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 10:42:21 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.38 % Drodi V4.1.1
% 0.14/0.40 % Refutation found
% 0.14/0.40 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/0.40 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.14/0.42 % Elapsed time: 0.044514 seconds
% 0.14/0.42 % CPU time: 0.109915 seconds
% 0.14/0.42 % Total memory used: 16.413 MB
% 0.14/0.42 % Net memory used: 15.845 MB
%------------------------------------------------------------------------------