%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : LCL104-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n009.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 01:06:49 PM UTC 2026
% Result : Unsatisfiable 0.14s 0.48s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 4
% Syntax : Number of formulae : 27 ( 14 unt; 0 def)
% Number of atoms : 45 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 40 ( 22 ~; 18 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-1 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 79 ( 79 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X,Y] :
( is_a_theorem(Y)
| ~ is_a_theorem(X)
| ~ is_a_theorem(equivalent(X,Y)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [X,Y,Z,U] : is_a_theorem(equivalent(X,equivalent(equivalent(equivalent(equivalent(Y,Z),equivalent(Y,U)),equivalent(Z,U)),X))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [X,Y,Z] : is_a_theorem(equivalent(equivalent(equivalent(X,Y),equivalent(equivalent(Y,X),Z)),Z)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,negated_conjecture,
~ is_a_theorem(equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5,plain,
! [Y] :
( is_a_theorem(Y)
| ! [X] :
( ~ is_a_theorem(X)
| ~ is_a_theorem(equivalent(X,Y)) ) ),
inference(miniscoping,[status(thm)],[f1]) ).
fof(f6,plain,
! [X0,X1] :
( is_a_theorem(X1)
| ~ is_a_theorem(X0)
| ~ is_a_theorem(equivalent(X0,X1)) ),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f7,plain,
! [X0,X1,X2,X3] : is_a_theorem(equivalent(X0,equivalent(equivalent(equivalent(equivalent(X1,X2),equivalent(X1,X3)),equivalent(X2,X3)),X0))),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f8,plain,
! [X0,X1,X2] : is_a_theorem(equivalent(equivalent(equivalent(X0,X1),equivalent(equivalent(X1,X0),X2)),X2)),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f9,plain,
~ is_a_theorem(equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f10,plain,
! [X0,X1,X2] :
( is_a_theorem(X2)
| ~ is_a_theorem(equivalent(equivalent(X0,X1),equivalent(equivalent(X1,X0),X2))) ),
inference(resolution,[status(thm)],[f8,f6]) ).
fof(f11,plain,
! [X0,X1,X2] : is_a_theorem(equivalent(equivalent(X0,X1),equivalent(equivalent(X2,X0),equivalent(X2,X1)))),
inference(resolution,[status(thm)],[f7,f10]) ).
fof(f12,plain,
! [X0,X1,X2,X3] :
( is_a_theorem(equivalent(equivalent(equivalent(equivalent(X1,X2),equivalent(X1,X3)),equivalent(X2,X3)),X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f7,f6]) ).
fof(f14,plain,
! [X0,X1,X2] :
( is_a_theorem(equivalent(equivalent(X2,X0),equivalent(X2,X1)))
| ~ is_a_theorem(equivalent(X0,X1)) ),
inference(resolution,[status(thm)],[f11,f6]) ).
fof(f16,plain,
! [X0,X1,X2] :
( is_a_theorem(equivalent(X2,X1))
| ~ is_a_theorem(equivalent(X2,X0))
| ~ is_a_theorem(equivalent(X0,X1)) ),
inference(resolution,[status(thm)],[f14,f6]) ).
fof(f17,plain,
! [X0] :
( ~ is_a_theorem(equivalent(equivalent(equivalent(a,b),c),X0))
| ~ is_a_theorem(equivalent(X0,equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))) ),
inference(resolution,[status(thm)],[f16,f9]) ).
fof(f18,plain,
! [X0,X1,X2,X3] :
( is_a_theorem(X3)
| ~ is_a_theorem(equivalent(equivalent(X2,X1),X0))
| ~ is_a_theorem(equivalent(X0,equivalent(equivalent(X1,X2),X3))) ),
inference(resolution,[status(thm)],[f16,f10]) ).
fof(f26,plain,
! [X0,X1,X2,X3] :
( is_a_theorem(X3)
| ~ is_a_theorem(equivalent(equivalent(equivalent(X0,X1),equivalent(equivalent(X2,X0),equivalent(X2,X1))),X3)) ),
inference(resolution,[status(thm)],[f12,f10]) ).
fof(f30,plain,
! [X0,X1,X2,X3] :
( is_a_theorem(X3)
| ~ is_a_theorem(equivalent(X0,equivalent(equivalent(equivalent(equivalent(X1,X2),X0),equivalent(X2,X1)),X3))) ),
inference(resolution,[status(thm)],[f18,f8]) ).
fof(f41,plain,
! [X0,X1,X2,X3] : is_a_theorem(equivalent(equivalent(X0,equivalent(X1,X2)),equivalent(X0,equivalent(equivalent(X3,X1),equivalent(X3,X2))))),
inference(resolution,[status(thm)],[f26,f11]) ).
fof(f42,plain,
! [X0,X1,X2,X3] :
( ~ is_a_theorem(equivalent(equivalent(equivalent(X3,X0),equivalent(X3,X1)),X2))
| is_a_theorem(equivalent(equivalent(X0,X1),X2)) ),
inference(resolution,[status(thm)],[f26,f14]) ).
fof(f46,plain,
! [X0,X1,X2,X3] : is_a_theorem(equivalent(equivalent(X0,X1),equivalent(equivalent(X2,equivalent(X3,X0)),equivalent(X2,equivalent(X3,X1))))),
inference(resolution,[status(thm)],[f41,f26]) ).
fof(f114,plain,
! [X0,X1,X2,X3] :
( ~ is_a_theorem(equivalent(equivalent(X2,X1),X3))
| is_a_theorem(equivalent(equivalent(X0,X1),equivalent(equivalent(X2,X0),X3))) ),
inference(resolution,[status(thm)],[f42,f14]) ).
fof(f124,plain,
! [X0,X1,X2] : is_a_theorem(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),equivalent(X1,X2))),
inference(resolution,[status(thm)],[f46,f30]) ).
fof(f165,plain,
! [X0,X1,X2] : ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),equivalent(X1,X2)),equivalent(equivalent(a,b),c)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),
inference(resolution,[status(thm)],[f17,f7]) ).
fof(f278,plain,
! [X0,X1,X2,X3] : is_a_theorem(equivalent(equivalent(X0,equivalent(X1,X2)),equivalent(equivalent(equivalent(X1,X3),X0),equivalent(X3,X2)))),
inference(resolution,[status(thm)],[f114,f124]) ).
fof(f377,plain,
! [X0,X1,X2,X3] : is_a_theorem(equivalent(equivalent(equivalent(equivalent(X0,X1),X2),equivalent(X1,X3)),equivalent(X2,equivalent(X0,X3)))),
inference(resolution,[status(thm)],[f278,f26]) ).
fof(f712,plain,
$false,
inference(resolution,[status(thm)],[f377,f165]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL104-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n009.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Mon Sep 21 00:04:58 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.37 % Drodi V4.1.1
% 0.14/0.48 % Refutation found
% 0.14/0.48 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/0.48 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.14/0.51 % Elapsed time: 0.142629 seconds
% 0.14/0.51 % CPU time: 0.865481 seconds
% 0.14/0.51 % Total memory used: 73.192 MB
% 0.14/0.51 % Net memory used: 70.952 MB
%------------------------------------------------------------------------------