%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SYN014-2 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n018.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 03:14:55 PM UTC 2026
% Result : Unsatisfiable 0.02s 0.39s
% Output : CNFRefutation 0.02s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 5
% Syntax : Number of formulae : 15 ( 9 unt; 0 def)
% Number of atoms : 24 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 20 ( 11 ~; 9 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 14 ( 14 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
! [X,Y] :
( equalish(Y,X)
| ~ equalish(X,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [X,Y,Z] :
( equalish(X,Z)
| ~ equalish(Y,Z)
| ~ equalish(X,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f22,negated_conjecture,
~ equalish(m,n),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f23,negated_conjecture,
equalish(n,k),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f26,negated_conjecture,
equalish(m,k),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f28,plain,
! [X0,X1] :
( equalish(X1,X0)
| ~ equalish(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f29,plain,
! [X,Z] :
( equalish(X,Z)
| ! [Y] :
( ~ equalish(Y,Z)
| ~ equalish(X,Y) ) ),
inference(miniscoping,[status(thm)],[f3]) ).
fof(f30,plain,
! [X0,X1,X2] :
( equalish(X0,X2)
| ~ equalish(X1,X2)
| ~ equalish(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f29]) ).
fof(f53,plain,
~ equalish(m,n),
inference(cnf_transformation,[status(thm)],[f22]) ).
fof(f54,plain,
equalish(n,k),
inference(cnf_transformation,[status(thm)],[f23]) ).
fof(f57,plain,
equalish(m,k),
inference(cnf_transformation,[status(thm)],[f26]) ).
fof(f59,plain,
equalish(k,n),
inference(resolution,[status(thm)],[f28,f54]) ).
fof(f66,plain,
! [X0] :
( equalish(X0,n)
| ~ equalish(X0,k) ),
inference(resolution,[status(thm)],[f59,f30]) ).
fof(f75,plain,
equalish(m,n),
inference(resolution,[status(thm)],[f66,f57]) ).
fof(f78,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f75,f53]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN014-2 : 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 : n018.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 10:41:14 UTC 2026
% 0.02/0.36 % CPUTime :
% 0.02/0.38 % Drodi V4.1.1
% 0.02/0.39 % Refutation found
% 0.02/0.39 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.02/0.39 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.02/0.41 % Elapsed time: 0.030955 seconds
% 0.02/0.41 % CPU time: 0.062935 seconds
% 0.02/0.41 % Total memory used: 3.792 MB
% 0.02/0.41 % Net memory used: 3.753 MB
%------------------------------------------------------------------------------