%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : CAT012-4 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n008.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 12:07:29 PM UTC 2026
% Result : Unsatisfiable 0.15s 5.60s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 5
% Syntax : Number of formulae : 14 ( 9 unt; 0 def)
% Number of atoms : 19 ( 7 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 13 ( 8 ~; 5 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 3 ( 2 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 : 9 ( 9 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f4,axiom,
! [X] :
( there_exists(X)
| ~ there_exists(domain(X)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f7,axiom,
! [X,Y] :
( domain(X) = codomain(Y)
| ~ there_exists(compose(X,Y)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f10,axiom,
! [X] : compose(X,domain(X)) = X,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f12,hypothesis,
there_exists(domain(a)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f13,negated_conjecture,
codomain(domain(a)) != domain(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(f22,plain,
! [X0,X1] :
( domain(X0) = codomain(X1)
| ~ there_exists(compose(X0,X1)) ),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f25,plain,
! [X0] : compose(X0,domain(X0)) = X0,
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f27,plain,
there_exists(domain(a)),
inference(cnf_transformation,[status(thm)],[f12]) ).
fof(f28,plain,
codomain(domain(a)) != domain(a),
inference(cnf_transformation,[status(thm)],[f13]) ).
fof(f32,plain,
there_exists(a),
inference(resolution,[status(thm)],[f18,f27]) ).
fof(f38,plain,
! [X0] :
( domain(X0) = codomain(domain(X0))
| ~ there_exists(X0) ),
inference(paramodulation,[status(thm)],[f25,f22]) ).
fof(f40,plain,
~ there_exists(a),
inference(resolution,[status(thm)],[f38,f28]) ).
fof(f41,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f40,f32]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CAT012-4 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/5.57 % Computer : n008.cluster.edu
% 0.12/5.57 % Model : x86_64 x86_64
% 0.12/5.57 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/5.57 % Memory : 8046.5625MB
% 0.12/5.57 % OS : Linux 6.8.0-71-generic
% 0.12/5.57 % CPULimit : 300
% 0.12/5.57 % WCLimit : 300
% 0.12/5.57 % DateTime : Mon Sep 21 13:57:00 UTC 2026
% 0.12/5.57 % CPUTime :
% 0.12/5.58 % Drodi V4.1.1
% 0.15/5.60 % Refutation found
% 0.15/5.60 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.15/5.60 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.15/5.62 % Elapsed time: 0.040305 seconds
% 0.15/5.62 % CPU time: 0.141075 seconds
% 0.15/5.62 % Total memory used: 66.579 MB
% 0.15/5.62 % Net memory used: 66.051 MB
%------------------------------------------------------------------------------