%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : CAT007-3 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n007.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 12:07:27 PM UTC 2026
% Result : Unsatisfiable 0.10s 0.40s
% Output : CNFRefutation 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 7
% Syntax : Number of formulae : 23 ( 9 unt; 2 def)
% Number of atoms : 40 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 34 ( 17 ~; 15 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 3 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 10 ( 10 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
! [X,Y] :
( equalish(Y,X)
| ~ equalish(X,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,axiom,
! [X,Y] :
( there_exists(compose(X,Y))
| ~ equalish(domain(X),codomain(Y))
| ~ there_exists(domain(X)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f9,hypothesis,
there_exists(domain(c2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f11,hypothesis,
equalish(domain(c2),codomain(c1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f12,negated_conjecture,
~ there_exists(compose(c2,c1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f14,plain,
! [X0,X1] :
( equalish(X1,X0)
| ~ equalish(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f18,plain,
! [X0,X1] :
( there_exists(compose(X0,X1))
| ~ equalish(domain(X0),codomain(X1))
| ~ there_exists(domain(X0)) ),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f22,plain,
there_exists(domain(c2)),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f24,plain,
equalish(domain(c2),codomain(c1)),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f25,plain,
~ there_exists(compose(c2,c1)),
inference(cnf_transformation,[status(thm)],[f12]) ).
fof(f26,plain,
! [X0,X1] :
( there_exists(compose(X1,X0))
| ~ there_exists(domain(X1))
| ~ equalish(codomain(X0),domain(X1)) ),
inference(resolution,[status(thm)],[f14,f18]) ).
fof(f27,plain,
( ~ there_exists(domain(c2))
| ~ equalish(codomain(c1),domain(c2)) ),
inference(resolution,[status(thm)],[f26,f25]) ).
fof(f28,definition,
( sQ0_spl
<=> equalish(codomain(c1),domain(c2)) ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f30,plain,
( sQ0_spl
| ~ equalish(codomain(c1),domain(c2)) ),
inference(component_clause,[status(thm)],[f28]) ).
fof(f31,definition,
( sQ1_spl
<=> there_exists(domain(c2)) ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f33,plain,
( sQ1_spl
| ~ there_exists(domain(c2)) ),
inference(component_clause,[status(thm)],[f31]) ).
fof(f34,plain,
( ~ sQ1_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f27,f28,f31]) ).
fof(f35,plain,
( sQ0_spl
| ~ equalish(domain(c2),codomain(c1)) ),
inference(resolution,[status(thm)],[f30,f14]) ).
fof(f49,plain,
( sQ0_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f24,f35]) ).
fof(f50,plain,
sQ0_spl,
inference(contradiction_clause,[status(thm)],[f49]) ).
fof(f51,plain,
( sQ1_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f33,f22]) ).
fof(f52,plain,
sQ1_spl,
inference(contradiction_clause,[status(thm)],[f51]) ).
fof(f53,plain,
$false,
inference(sat_refutation,[status(thm)],[f34,f50,f52]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CAT007-3 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n007.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Mon Sep 21 13:53:35 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 % Drodi V4.1.1
% 0.10/0.40 % Refutation found
% 0.10/0.40 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.10/0.40 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.10/0.43 % Elapsed time: 0.044574 seconds
% 0.10/0.43 % CPU time: 0.114415 seconds
% 0.10/0.43 % Total memory used: 16.698 MB
% 0.10/0.43 % Net memory used: 16.227 MB
%------------------------------------------------------------------------------