%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SYN053-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n009.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 03:15:02 PM UTC 2026
% Result : Unsatisfiable 0.09s 0.38s
% Output : CNFRefutation 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 7
% Syntax : Number of formulae : 24 ( 4 unt; 4 def)
% Number of atoms : 49 ( 0 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 43 ( 18 ~; 21 |; 0 &)
% ( 4 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 6 prp; 0-1 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 8 ( 8 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
! [X,Y] :
( big_f(Y)
| big_f(X)
| p ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,negated_conjecture,
~ p,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,negated_conjecture,
( ~ big_f(b)
| ~ big_f(a) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,plain,
( ! [Y] : big_f(Y)
| ! [X] : big_f(X)
| p ),
inference(miniscoping,[status(thm)],[f1]) ).
fof(f7,plain,
! [X0,X1] :
( big_f(X1)
| big_f(X0)
| p ),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f10,plain,
~ p,
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f13,plain,
( ~ big_f(b)
| ~ big_f(a) ),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f14,definition,
( sQ0_spl
<=> p ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f15,plain,
( ~ sQ0_spl
| p ),
inference(component_clause,[status(thm)],[f14]) ).
fof(f17,definition,
! [X0] :
( sQ1_spl
<=> big_f(X0) ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f18,plain,
! [X0] :
( ~ sQ1_spl
| big_f(X0) ),
inference(component_clause,[status(thm)],[f17]) ).
fof(f20,plain,
( sQ1_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f7,f14,f17]) ).
fof(f21,definition,
( sQ2_spl
<=> big_f(b) ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f23,plain,
( sQ2_spl
| ~ big_f(b) ),
inference(component_clause,[status(thm)],[f21]) ).
fof(f25,definition,
( sQ3_spl
<=> big_f(a) ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f27,plain,
( sQ3_spl
| ~ big_f(a) ),
inference(component_clause,[status(thm)],[f25]) ).
fof(f29,plain,
( ~ sQ2_spl
| ~ sQ3_spl ),
inference(split_clause,[status(thm)],[f13,f25,f21]) ).
fof(f30,plain,
( ~ sQ0_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f15,f10]) ).
fof(f31,plain,
~ sQ0_spl,
inference(contradiction_clause,[status(thm)],[f30]) ).
fof(f32,plain,
( sQ3_spl
| ~ sQ1_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f27,f18]) ).
fof(f33,plain,
( sQ3_spl
| ~ sQ1_spl ),
inference(contradiction_clause,[status(thm)],[f32]) ).
fof(f34,plain,
( sQ2_spl
| ~ sQ1_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f23,f18]) ).
fof(f35,plain,
( sQ2_spl
| ~ sQ1_spl ),
inference(contradiction_clause,[status(thm)],[f34]) ).
fof(f36,plain,
$false,
inference(sat_refutation,[status(thm)],[f20,f29,f31,f33,f35]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN053-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.03 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n009.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Mon Sep 21 10:40:42 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.37 % Drodi V4.1.1
% 0.09/0.38 % Refutation found
% 0.09/0.38 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.09/0.38 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.14/0.40 % Elapsed time: 0.033154 seconds
% 0.14/0.40 % CPU time: 0.067592 seconds
% 0.14/0.40 % Total memory used: 7.203 MB
% 0.14/0.40 % Net memory used: 6.953 MB
%------------------------------------------------------------------------------