%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : CAT011-4 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n005.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 0.10s 0.37s
% Output : CNFRefutation 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 7
% Syntax : Number of formulae : 25 ( 13 unt; 0 def)
% Number of atoms : 37 ( 14 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 29 ( 17 ~; 12 |; 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 : 21 ( 21 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f4,axiom,
! [X] :
( there_exists(X)
| ~ there_exists(domain(X)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f6,axiom,
! [X,Y] :
( there_exists(domain(X))
| ~ there_exists(compose(X,Y)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f7,axiom,
! [X,Y] :
( domain(X) = codomain(Y)
| ~ there_exists(compose(X,Y)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f10,axiom,
! [X] : compose(X,domain(X)) = X,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f11,axiom,
! [X] : compose(codomain(X),X) = X,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f12,hypothesis,
there_exists(domain(a)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f13,negated_conjecture,
domain(domain(a)) != domain(a),
file('/export/starexec/sandbox2/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(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(f26,plain,
! [X0] : compose(codomain(X0),X0) = X0,
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f27,plain,
there_exists(domain(a)),
inference(cnf_transformation,[status(thm)],[f12]) ).
fof(f28,plain,
domain(domain(a)) != domain(a),
inference(cnf_transformation,[status(thm)],[f13]) ).
fof(f33,plain,
! [X0,X1] :
( ~ there_exists(domain(compose(X0,X1)))
| domain(X0) = codomain(X1) ),
inference(resolution,[status(thm)],[f22,f18]) ).
fof(f40,plain,
! [X0] :
( ~ there_exists(domain(X0))
| domain(codomain(X0)) = codomain(X0) ),
inference(paramodulation,[status(thm)],[f26,f33]) ).
fof(f41,plain,
! [X0] :
( ~ there_exists(domain(X0))
| domain(X0) = codomain(domain(X0)) ),
inference(paramodulation,[status(thm)],[f25,f33]) ).
fof(f43,plain,
domain(a) = codomain(domain(a)),
inference(resolution,[status(thm)],[f41,f27]) ).
fof(f48,plain,
( ~ there_exists(domain(domain(a)))
| domain(domain(a)) = codomain(domain(a)) ),
inference(paramodulation,[status(thm)],[f43,f40]) ).
fof(f50,plain,
( ~ there_exists(domain(domain(a)))
| domain(domain(a)) = domain(a) ),
inference(forward_demodulation,[status(thm)],[f43,f48]) ).
fof(f51,plain,
~ there_exists(domain(domain(a))),
inference(forward_subsumption_resolution,[status(thm)],[f50,f28]) ).
fof(f52,plain,
! [X0] : ~ there_exists(compose(domain(a),X0)),
inference(resolution,[status(thm)],[f51,f21]) ).
fof(f59,plain,
~ there_exists(domain(a)),
inference(paramodulation,[status(thm)],[f25,f52]) ).
fof(f60,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f59,f27]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : CAT011-4 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.35 % Computer : n005.cluster.edu
% 0.10/0.35 % Model : x86_64 x86_64
% 0.10/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.35 % Memory : 8046.5625MB
% 0.10/0.35 % OS : Linux 6.8.0-71-generic
% 0.10/0.35 % CPULimit : 300
% 0.10/0.35 % WCLimit : 300
% 0.10/0.35 % DateTime : Mon Sep 21 13:55:47 UTC 2026
% 0.10/0.35 % CPUTime :
% 0.10/0.36 % Drodi V4.1.1
% 0.10/0.37 % Refutation found
% 0.10/0.37 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.10/0.37 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.13/0.40 % Elapsed time: 0.039468 seconds
% 0.13/0.40 % CPU time: 0.080468 seconds
% 0.13/0.40 % Total memory used: 10.573 MB
% 0.13/0.40 % Net memory used: 10.517 MB
%------------------------------------------------------------------------------