%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : CAT006-4 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n003.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 0.12s 0.38s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 7
% Syntax : Number of formulae : 26 ( 14 unt; 0 def)
% Number of atoms : 38 ( 13 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 28 ( 16 ~; 12 |; 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 : 16 ( 16 !; 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(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(compose(d,a)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f14,hypothesis,
! [X] :
( compose(d,X) = X
| ~ there_exists(compose(d,X)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f15,negated_conjecture,
codomain(a) != d,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f20,plain,
! [X0] :
( there_exists(X0)
| ~ there_exists(domain(X0)) ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f22,plain,
! [X] :
( there_exists(domain(X))
| ! [Y] : ~ there_exists(compose(X,Y)) ),
inference(miniscoping,[status(thm)],[f6]) ).
fof(f23,plain,
! [X0,X1] :
( there_exists(domain(X0))
| ~ there_exists(compose(X0,X1)) ),
inference(cnf_transformation,[status(thm)],[f22]) ).
fof(f24,plain,
! [X0,X1] :
( domain(X0) = codomain(X1)
| ~ there_exists(compose(X0,X1)) ),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f27,plain,
! [X0] : compose(X0,domain(X0)) = X0,
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f29,plain,
there_exists(compose(d,a)),
inference(cnf_transformation,[status(thm)],[f12]) ).
fof(f31,plain,
! [X0] :
( compose(d,X0) = X0
| ~ there_exists(compose(d,X0)) ),
inference(cnf_transformation,[status(thm)],[f14]) ).
fof(f32,plain,
codomain(a) != d,
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f34,plain,
domain(d) = codomain(a),
inference(resolution,[status(thm)],[f24,f29]) ).
fof(f36,plain,
domain(d) != d,
inference(backward_demodulation,[status(thm)],[f34,f32]) ).
fof(f47,plain,
compose(d,a) = a,
inference(resolution,[status(thm)],[f31,f29]) ).
fof(f48,plain,
there_exists(a),
inference(backward_demodulation,[status(thm)],[f47,f29]) ).
fof(f64,plain,
( compose(d,domain(d)) = domain(d)
| ~ there_exists(d) ),
inference(paramodulation,[status(thm)],[f27,f31]) ).
fof(f66,plain,
( d = domain(d)
| ~ there_exists(d) ),
inference(forward_demodulation,[status(thm)],[f27,f64]) ).
fof(f67,plain,
~ there_exists(d),
inference(forward_subsumption_resolution,[status(thm)],[f66,f36]) ).
fof(f69,plain,
( there_exists(domain(d))
| ~ there_exists(a) ),
inference(paramodulation,[status(thm)],[f47,f23]) ).
fof(f74,plain,
there_exists(domain(d)),
inference(forward_subsumption_resolution,[status(thm)],[f69,f48]) ).
fof(f76,plain,
there_exists(d),
inference(resolution,[status(thm)],[f74,f20]) ).
fof(f80,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f76,f67]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : CAT006-4 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n003.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Mon Sep 21 13:57:16 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.12/0.36 % Drodi V4.1.1
% 0.12/0.38 % Refutation found
% 0.12/0.38 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.12/0.38 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.12/0.40 % Elapsed time: 0.042666 seconds
% 0.12/0.40 % CPU time: 0.133821 seconds
% 0.12/0.40 % Total memory used: 58.312 MB
% 0.12/0.40 % Net memory used: 57.902 MB
%------------------------------------------------------------------------------