%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : CAT005-3 : TPTP v9.3.1. Released v1.0.0.
% 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 12:07:27 PM UTC 2026
% Result : Unsatisfiable 0.13s 0.39s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 8
% Syntax : Number of formulae : 29 ( 13 unt; 0 def)
% Number of atoms : 45 ( 14 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 35 ( 19 ~; 16 |; 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 : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 18 ( 18 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f4,axiom,
! [X] :
( there_exists(X)
| ~ there_exists(domain(X)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5,axiom,
! [X] :
( there_exists(X)
| ~ there_exists(codomain(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(f11,axiom,
! [X] : compose(codomain(X),X) = X,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f18,hypothesis,
there_exists(compose(a,d)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f19,hypothesis,
! [X] :
( compose(X,d) = X
| ~ there_exists(compose(X,d)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f21,negated_conjecture,
domain(a) != d,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f26,plain,
! [X0] :
( there_exists(X0)
| ~ there_exists(domain(X0)) ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f27,plain,
! [X0] :
( there_exists(X0)
| ~ there_exists(codomain(X0)) ),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f28,plain,
! [X] :
( there_exists(domain(X))
| ! [Y] : ~ there_exists(compose(X,Y)) ),
inference(miniscoping,[status(thm)],[f6]) ).
fof(f29,plain,
! [X0,X1] :
( there_exists(domain(X0))
| ~ there_exists(compose(X0,X1)) ),
inference(cnf_transformation,[status(thm)],[f28]) ).
fof(f30,plain,
! [X0,X1] :
( domain(X0) = codomain(X1)
| ~ there_exists(compose(X0,X1)) ),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f34,plain,
! [X0] : compose(codomain(X0),X0) = X0,
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f43,plain,
there_exists(compose(a,d)),
inference(cnf_transformation,[status(thm)],[f18]) ).
fof(f44,plain,
! [X0] :
( compose(X0,d) = X0
| ~ there_exists(compose(X0,d)) ),
inference(cnf_transformation,[status(thm)],[f19]) ).
fof(f46,plain,
domain(a) != d,
inference(cnf_transformation,[status(thm)],[f21]) ).
fof(f51,plain,
there_exists(domain(a)),
inference(resolution,[status(thm)],[f43,f29]) ).
fof(f52,plain,
there_exists(a),
inference(resolution,[status(thm)],[f51,f26]) ).
fof(f54,plain,
compose(a,d) = a,
inference(resolution,[status(thm)],[f44,f43]) ).
fof(f62,plain,
( compose(codomain(d),d) = codomain(d)
| ~ there_exists(d) ),
inference(paramodulation,[status(thm)],[f34,f44]) ).
fof(f64,plain,
( d = codomain(d)
| ~ there_exists(d) ),
inference(forward_demodulation,[status(thm)],[f34,f62]) ).
fof(f67,plain,
( domain(a) = codomain(d)
| ~ there_exists(a) ),
inference(paramodulation,[status(thm)],[f54,f30]) ).
fof(f69,plain,
domain(a) = codomain(d),
inference(forward_subsumption_resolution,[status(thm)],[f67,f52]) ).
fof(f90,plain,
( d = domain(a)
| ~ there_exists(d) ),
inference(backward_demodulation,[status(thm)],[f69,f64]) ).
fof(f91,plain,
( there_exists(d)
| ~ there_exists(domain(a)) ),
inference(paramodulation,[status(thm)],[f69,f27]) ).
fof(f93,plain,
~ there_exists(d),
inference(forward_subsumption_resolution,[status(thm)],[f90,f46]) ).
fof(f94,plain,
there_exists(d),
inference(forward_subsumption_resolution,[status(thm)],[f91,f51]) ).
fof(f95,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f94,f93]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CAT005-3 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n002.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Mon Sep 21 13:58:18 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.13/0.37 % Drodi V4.1.1
% 0.13/0.39 % Refutation found
% 0.13/0.39 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.39 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.13/0.41 % Elapsed time: 0.041668 seconds
% 0.13/0.41 % CPU time: 0.114513 seconds
% 0.13/0.41 % Total memory used: 54.213 MB
% 0.13/0.41 % Net memory used: 54.056 MB
%------------------------------------------------------------------------------