%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SYN343-1 : TPTP v9.3.1. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n002.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 03:15:49 PM UTC 2026
% Result : Unsatisfiable 0.21s 0.53s
% Output : CNFRefutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 5
% Syntax : Number of formulae : 20 ( 1 unt; 3 def)
% Number of atoms : 41 ( 0 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 40 ( 19 ~; 18 |; 0 &)
% ( 3 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 4 prp; 0-2 aty)
% Number of functors : 1 ( 1 usr; 1 con; 0-0 aty)
% Number of variables : 15 ( 15 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
! [Y1] :
( f(a,a)
| f(a,Y1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,negated_conjecture,
! [Y1,Y2] :
( ~ f(Y1,Y2)
| ~ f(a,a) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,plain,
( f(a,a)
| ! [Y1] : f(a,Y1) ),
inference(miniscoping,[status(thm)],[f1]) ).
fof(f5,plain,
! [X0] :
( f(a,a)
| f(a,X0) ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f8,plain,
( ! [Y1,Y2] : ~ f(Y1,Y2)
| ~ f(a,a) ),
inference(miniscoping,[status(thm)],[f3]) ).
fof(f9,plain,
! [X0,X1] :
( ~ f(X0,X1)
| ~ f(a,a) ),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f10,definition,
! [X0] :
( sQ0_spl
<=> f(a,X0) ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f11,plain,
! [X0] :
( ~ sQ0_spl
| f(a,X0) ),
inference(component_clause,[status(thm)],[f10]) ).
fof(f13,definition,
( sQ1_spl
<=> f(a,a) ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f14,plain,
( ~ sQ1_spl
| f(a,a) ),
inference(component_clause,[status(thm)],[f13]) ).
fof(f15,plain,
( sQ1_spl
| ~ f(a,a) ),
inference(component_clause,[status(thm)],[f13]) ).
fof(f16,plain,
( sQ1_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f5,f10,f13]) ).
fof(f21,definition,
! [X0,X1] :
( sQ3_spl
<=> ~ f(X0,X1) ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f22,plain,
! [X0,X1] :
( ~ sQ3_spl
| ~ f(X0,X1) ),
inference(component_clause,[status(thm)],[f21]) ).
fof(f24,plain,
( sQ3_spl
| ~ sQ1_spl ),
inference(split_clause,[status(thm)],[f9,f13,f21]) ).
fof(f25,plain,
( sQ1_spl
| ~ sQ0_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f15,f11]) ).
fof(f26,plain,
( sQ1_spl
| ~ sQ0_spl ),
inference(contradiction_clause,[status(thm)],[f25]) ).
fof(f27,plain,
( ~ sQ1_spl
| ~ sQ3_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f14,f22]) ).
fof(f28,plain,
( ~ sQ1_spl
| ~ sQ3_spl ),
inference(contradiction_clause,[status(thm)],[f27]) ).
fof(f29,plain,
$false,
inference(sat_refutation,[status(thm)],[f16,f24,f26,f28]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SYN343-1 : TPTP v9.3.1. Released v1.2.0.
% 0.00/0.06 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.21/0.48 % Computer : n002.cluster.edu
% 0.21/0.48 % Model : x86_64 x86_64
% 0.21/0.48 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.21/0.48 % Memory : 8046.5625MB
% 0.21/0.48 % OS : Linux 6.8.0-71-generic
% 0.21/0.48 % CPULimit : 300
% 0.21/0.48 % WCLimit : 300
% 0.21/0.48 % DateTime : Mon Sep 21 10:53:17 UTC 2026
% 0.21/0.49 % CPUTime :
% 0.21/0.51 % Drodi V4.1.1
% 0.21/0.53 % Refutation found
% 0.21/0.53 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.21/0.53 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.26/0.60 % Elapsed time: 0.096211 seconds
% 0.26/0.60 % CPU time: 0.097037 seconds
% 0.26/0.60 % Total memory used: 2.050 MB
% 0.26/0.60 % Net memory used: 1.988 MB
%------------------------------------------------------------------------------