%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : LAT035-1 : TPTP v9.3.1. Released v2.4.0.
% 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 01:02:07 PM UTC 2026
% Result : Unsatisfiable 0.10s 0.39s
% Output : CNFRefutation 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 5
% Syntax : Number of formulae : 15 ( 9 unt; 0 def)
% Number of atoms : 21 ( 20 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 18 ( 12 ~; 6 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 3 ( 2 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-2 aty)
% Number of variables : 8 ( 8 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f14,axiom,
! [U,V] : k(join(U,V)) = meet(k(U),k(V)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f16,axiom,
k(n0) = n1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f18,axiom,
! [U,V] : f(meet(U,V)) = join(f(U),f(V)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f19,axiom,
f(n1) = n0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f20,negated_conjecture,
( f(k(n0)) != n0
| f(k(join(aa,bb))) != join(f(k(aa)),f(k(bb))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f35,plain,
! [X0,X1] : k(join(X0,X1)) = meet(k(X0),k(X1)),
inference(cnf_transformation,[status(thm)],[f14]) ).
fof(f37,plain,
k(n0) = n1,
inference(cnf_transformation,[status(thm)],[f16]) ).
fof(f39,plain,
! [X0,X1] : f(meet(X0,X1)) = join(f(X0),f(X1)),
inference(cnf_transformation,[status(thm)],[f18]) ).
fof(f40,plain,
f(n1) = n0,
inference(cnf_transformation,[status(thm)],[f19]) ).
fof(f41,plain,
( f(k(n0)) != n0
| f(k(join(aa,bb))) != join(f(k(aa)),f(k(bb))) ),
inference(cnf_transformation,[status(thm)],[f20]) ).
fof(f42,plain,
( f(k(n0)) != n0
| f(k(join(aa,bb))) != f(meet(k(aa),k(bb))) ),
inference(forward_demodulation,[status(thm)],[f39,f41]) ).
fof(f43,plain,
( f(k(n0)) != n0
| f(k(join(aa,bb))) != f(k(join(aa,bb))) ),
inference(forward_demodulation,[status(thm)],[f35,f42]) ).
fof(f44,plain,
( f(n1) != n0
| f(k(join(aa,bb))) != f(k(join(aa,bb))) ),
inference(forward_demodulation,[status(thm)],[f37,f43]) ).
fof(f45,plain,
( n0 != n0
| f(k(join(aa,bb))) != f(k(join(aa,bb))) ),
inference(forward_demodulation,[status(thm)],[f40,f44]) ).
fof(f46,plain,
$false,
inference(trivial_equality_resolution,[status(thm)],[f45]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LAT035-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.03 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n002.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Sun Sep 20 23:10:31 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.37 % Drodi V4.1.1
% 0.10/0.39 % Refutation found
% 0.10/0.39 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.10/0.39 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.10/0.42 % Elapsed time: 0.052443 seconds
% 0.10/0.42 % CPU time: 0.146270 seconds
% 0.10/0.42 % Total memory used: 62.421 MB
% 0.10/0.42 % Net memory used: 62.063 MB
%------------------------------------------------------------------------------