%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SET055-7 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n010.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 02:09:05 PM UTC 2026
% Result : Unsatisfiable 0.12s 0.39s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 5
% Syntax : Number of formulae : 16 ( 7 unt; 0 def)
% Number of atoms : 30 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 34 ( 20 ~; 14 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 1 ( 1 usr; 1 con; 0-0 aty)
% Number of variables : 23 ( 23 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X,Y] :
( equalish(Y,X)
| ~ equalish(X,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [X,Y,Z] :
( equalish(X,Z)
| ~ equalish(Y,Z)
| ~ equalish(X,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f74,axiom,
! [X,Y] :
( equalish(X,Y)
| ~ subclass(Y,X)
| ~ subclass(X,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f163,axiom,
! [X] : subclass(X,X),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f165,negated_conjecture,
~ equalish(x,x),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f166,plain,
! [X0,X1] :
( equalish(X1,X0)
| ~ equalish(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f167,plain,
! [X,Z] :
( equalish(X,Z)
| ! [Y] :
( ~ equalish(Y,Z)
| ~ equalish(X,Y) ) ),
inference(miniscoping,[status(thm)],[f2]) ).
fof(f168,plain,
! [X0,X1,X2] :
( equalish(X0,X2)
| ~ equalish(X1,X2)
| ~ equalish(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f167]) ).
fof(f291,plain,
! [X0,X1] :
( equalish(X0,X1)
| ~ subclass(X1,X0)
| ~ subclass(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f74]) ).
fof(f398,plain,
! [X0] : subclass(X0,X0),
inference(cnf_transformation,[status(thm)],[f163]) ).
fof(f401,plain,
~ equalish(x,x),
inference(cnf_transformation,[status(thm)],[f165]) ).
fof(f403,plain,
! [X0] :
( ~ equalish(X0,x)
| ~ equalish(x,X0) ),
inference(resolution,[status(thm)],[f168,f401]) ).
fof(f404,plain,
! [X0] : ~ equalish(X0,x),
inference(forward_subsumption_resolution,[status(thm)],[f403,f166]) ).
fof(f406,plain,
! [X0] : ~ equalish(x,X0),
inference(resolution,[status(thm)],[f404,f166]) ).
fof(f418,plain,
! [X0] :
( ~ subclass(X0,x)
| ~ subclass(x,X0) ),
inference(resolution,[status(thm)],[f291,f406]) ).
fof(f431,plain,
$false,
inference(resolution,[status(thm)],[f418,f398]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SET055-7 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.06/0.33 % Computer : n010.cluster.edu
% 0.06/0.33 % Model : x86_64 x86_64
% 0.06/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.33 % Memory : 8046.5625MB
% 0.06/0.33 % OS : Linux 6.8.0-71-generic
% 0.06/0.33 % CPULimit : 300
% 0.06/0.33 % WCLimit : 300
% 0.06/0.33 % DateTime : Mon Sep 21 04:48:26 UTC 2026
% 0.06/0.33 % CPUTime :
% 0.06/0.34 % Drodi V4.1.1
% 0.12/0.39 % Refutation found
% 0.12/0.39 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.12/0.39 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.12/0.41 % Elapsed time: 0.073018 seconds
% 0.12/0.41 % CPU time: 0.247599 seconds
% 0.12/0.41 % Total memory used: 24.033 MB
% 0.12/0.41 % Net memory used: 23.739 MB
%------------------------------------------------------------------------------