%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : CAT017-4 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n010.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 12:07:31 PM UTC 2026
% Result : Unsatisfiable 0.11s 0.58s
% Output : CNFRefutation 0.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 5
% Syntax : Number of formulae : 15 ( 8 unt; 0 def)
% Number of atoms : 22 ( 2 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 17 ( 10 ~; 7 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 1 con; 0-2 aty)
% Number of variables : 12 ( 12 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f4,axiom,
! [X] :
( there_exists(X)
| ~ there_exists(domain(X)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,axiom,
! [X,Y] :
( there_exists(domain(X))
| ~ there_exists(compose(X,Y)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f11,axiom,
! [X] : compose(codomain(X),X) = X,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f12,hypothesis,
there_exists(a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f13,negated_conjecture,
~ there_exists(codomain(a)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f18,plain,
! [X0] :
( there_exists(X0)
| ~ there_exists(domain(X0)) ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f20,plain,
! [X] :
( there_exists(domain(X))
| ! [Y] : ~ there_exists(compose(X,Y)) ),
inference(miniscoping,[status(thm)],[f6]) ).
fof(f21,plain,
! [X0,X1] :
( there_exists(domain(X0))
| ~ there_exists(compose(X0,X1)) ),
inference(cnf_transformation,[status(thm)],[f20]) ).
fof(f26,plain,
! [X0] : compose(codomain(X0),X0) = X0,
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f27,plain,
there_exists(a),
inference(cnf_transformation,[status(thm)],[f12]) ).
fof(f28,plain,
~ there_exists(codomain(a)),
inference(cnf_transformation,[status(thm)],[f13]) ).
fof(f32,plain,
! [X0] :
( there_exists(domain(codomain(X0)))
| ~ there_exists(X0) ),
inference(paramodulation,[status(thm)],[f26,f21]) ).
fof(f35,plain,
! [X0] :
( there_exists(codomain(X0))
| ~ there_exists(X0) ),
inference(resolution,[status(thm)],[f32,f18]) ).
fof(f36,plain,
~ there_exists(a),
inference(resolution,[status(thm)],[f35,f28]) ).
fof(f38,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f36,f27]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CAT017-4 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.55 % Computer : n010.cluster.edu
% 0.11/0.55 % Model : x86_64 x86_64
% 0.11/0.55 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.55 % Memory : 8046.5625MB
% 0.11/0.55 % OS : Linux 6.8.0-71-generic
% 0.11/0.55 % CPULimit : 300
% 0.11/0.55 % WCLimit : 300
% 0.11/0.55 % DateTime : Mon Sep 21 13:56:41 UTC 2026
% 0.11/0.55 % CPUTime :
% 0.11/0.56 % Drodi V4.1.1
% 0.11/0.58 % Refutation found
% 0.11/0.58 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.11/0.58 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.15/0.60 % Elapsed time: 0.043999 seconds
% 0.15/0.60 % CPU time: 0.135946 seconds
% 0.15/0.60 % Total memory used: 66.582 MB
% 0.15/0.60 % Net memory used: 66.048 MB
%------------------------------------------------------------------------------