%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : LCL131-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n006.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 01:06:53 PM UTC 2026
% Result : Unsatisfiable 7.98s 6.55s
% Output : CNFRefutation 7.98s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 3
% Syntax : Number of formulae : 33 ( 20 unt; 0 def)
% Number of atoms : 50 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 38 ( 21 ~; 17 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 5 avg)
% Maximal term depth : 7 ( 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 : 95 ( 95 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X,Y] :
( is_a_theorem(Y)
| ~ is_a_theorem(X)
| ~ is_a_theorem(equivalent(X,Y)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [X,Y,Z,U] : is_a_theorem(equivalent(equivalent(X,equivalent(equivalent(equivalent(Y,Z),equivalent(U,Z)),equivalent(Y,U))),X)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,negated_conjecture,
~ is_a_theorem(equivalent(a,equivalent(a,equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e)))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,plain,
! [Y] :
( is_a_theorem(Y)
| ! [X] :
( ~ is_a_theorem(X)
| ~ is_a_theorem(equivalent(X,Y)) ) ),
inference(miniscoping,[status(thm)],[f1]) ).
fof(f5,plain,
! [X0,X1] :
( is_a_theorem(X1)
| ~ is_a_theorem(X0)
| ~ is_a_theorem(equivalent(X0,X1)) ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f6,plain,
! [X0,X1,X2,X3] : is_a_theorem(equivalent(equivalent(X0,equivalent(equivalent(equivalent(X1,X2),equivalent(X3,X2)),equivalent(X1,X3))),X0)),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f7,plain,
~ is_a_theorem(equivalent(a,equivalent(a,equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e)))))),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f8,plain,
! [X0,X1,X2,X3] :
( is_a_theorem(X0)
| ~ is_a_theorem(equivalent(X0,equivalent(equivalent(equivalent(X1,X2),equivalent(X3,X2)),equivalent(X1,X3)))) ),
inference(resolution,[status(thm)],[f6,f5]) ).
fof(f9,plain,
! [X0,X1,X2,X3,X4,X5] : is_a_theorem(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X2,X1)),equivalent(X0,X2)),equivalent(equivalent(equivalent(X3,X4),equivalent(X5,X4)),equivalent(X3,X5)))),
inference(resolution,[status(thm)],[f8,f6]) ).
fof(f10,plain,
! [X0,X1,X2] : is_a_theorem(equivalent(equivalent(equivalent(X0,X1),equivalent(X2,X1)),equivalent(X0,X2))),
inference(resolution,[status(thm)],[f9,f8]) ).
fof(f19,plain,
! [X0,X1,X2,X3] : is_a_theorem(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X2,X1)),X3),equivalent(equivalent(X0,X2),X3))),
inference(resolution,[status(thm)],[f10,f8]) ).
fof(f20,plain,
! [X0,X1,X2] :
( is_a_theorem(equivalent(X0,X2))
| ~ is_a_theorem(equivalent(equivalent(X0,X1),equivalent(X2,X1))) ),
inference(resolution,[status(thm)],[f10,f5]) ).
fof(f23,plain,
! [X0,X1,X2,X3] : is_a_theorem(equivalent(equivalent(equivalent(equivalent(X0,X1),X2),equivalent(equivalent(X3,X1),X2)),equivalent(X0,X3))),
inference(resolution,[status(thm)],[f19,f8]) ).
fof(f24,plain,
! [X0,X1,X2,X3] :
( is_a_theorem(equivalent(equivalent(X0,X2),X3))
| ~ is_a_theorem(equivalent(equivalent(equivalent(X0,X1),equivalent(X2,X1)),X3)) ),
inference(resolution,[status(thm)],[f19,f5]) ).
fof(f25,plain,
! [X0,X1,X2,X3] : is_a_theorem(equivalent(equivalent(equivalent(X0,X1),equivalent(X2,X1)),equivalent(equivalent(X0,X3),equivalent(X2,X3)))),
inference(resolution,[status(thm)],[f20,f9]) ).
fof(f29,plain,
! [X0,X1,X2,X3] :
( is_a_theorem(equivalent(X0,X3))
| ~ is_a_theorem(equivalent(equivalent(equivalent(X0,X1),X2),equivalent(equivalent(X3,X1),X2))) ),
inference(resolution,[status(thm)],[f23,f5]) ).
fof(f32,plain,
! [X0,X1] : is_a_theorem(equivalent(equivalent(X0,X1),equivalent(X0,X1))),
inference(resolution,[status(thm)],[f24,f10]) ).
fof(f33,plain,
! [X0,X1,X2,X3] : is_a_theorem(equivalent(equivalent(X0,equivalent(equivalent(X1,X2),equivalent(X3,X2))),equivalent(X0,equivalent(X1,X3)))),
inference(resolution,[status(thm)],[f24,f6]) ).
fof(f34,plain,
! [X0,X1,X2] : is_a_theorem(equivalent(equivalent(X0,X1),equivalent(equivalent(X0,X2),equivalent(X1,X2)))),
inference(resolution,[status(thm)],[f32,f24]) ).
fof(f35,plain,
! [X0] : is_a_theorem(equivalent(X0,X0)),
inference(resolution,[status(thm)],[f32,f20]) ).
fof(f43,plain,
! [X0,X1,X2] :
( is_a_theorem(equivalent(equivalent(X0,X2),equivalent(X1,X2)))
| ~ is_a_theorem(equivalent(X0,X1)) ),
inference(resolution,[status(thm)],[f34,f5]) ).
fof(f46,plain,
! [X0,X1,X2,X3] :
( is_a_theorem(equivalent(equivalent(X0,X3),equivalent(X2,X3)))
| ~ is_a_theorem(equivalent(equivalent(X0,X1),equivalent(X2,X1))) ),
inference(resolution,[status(thm)],[f25,f5]) ).
fof(f60,plain,
! [X0,X1,X2] :
( is_a_theorem(equivalent(X1,X2))
| ~ is_a_theorem(equivalent(X0,X2))
| ~ is_a_theorem(equivalent(X0,X1)) ),
inference(resolution,[status(thm)],[f43,f5]) ).
fof(f64,plain,
! [X0] :
( ~ is_a_theorem(equivalent(X0,equivalent(a,equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e))))))
| ~ is_a_theorem(equivalent(X0,a)) ),
inference(resolution,[status(thm)],[f60,f7]) ).
fof(f124,plain,
! [X0,X1,X2,X3] : is_a_theorem(equivalent(equivalent(X0,equivalent(X1,X2)),equivalent(equivalent(X0,equivalent(X3,X2)),equivalent(X1,X3)))),
inference(resolution,[status(thm)],[f33,f24]) ).
fof(f301,plain,
! [X0,X1] : is_a_theorem(equivalent(X0,equivalent(X0,equivalent(X1,X1)))),
inference(resolution,[status(thm)],[f124,f29]) ).
fof(f545,plain,
! [X0,X1] :
( is_a_theorem(equivalent(X1,X0))
| ~ is_a_theorem(equivalent(X0,X1)) ),
inference(resolution,[status(thm)],[f60,f35]) ).
fof(f550,plain,
! [X0,X1] : is_a_theorem(equivalent(equivalent(X0,equivalent(X1,X1)),X0)),
inference(resolution,[status(thm)],[f545,f301]) ).
fof(f563,plain,
! [X0,X1,X2] :
( is_a_theorem(equivalent(X2,X0))
| ~ is_a_theorem(equivalent(equivalent(X0,equivalent(X1,X1)),X2)) ),
inference(resolution,[status(thm)],[f550,f60]) ).
fof(f837,plain,
! [X0,X1,X2,X3,X4] : is_a_theorem(equivalent(equivalent(equivalent(X0,equivalent(equivalent(equivalent(X1,X2),equivalent(X3,X2)),equivalent(X1,X3))),X4),equivalent(X0,X4))),
inference(resolution,[status(thm)],[f46,f6]) ).
fof(f1733,plain,
! [X0,X1,X2] : is_a_theorem(equivalent(equivalent(equivalent(X0,equivalent(X1,X2)),equivalent(X2,X1)),X0)),
inference(resolution,[status(thm)],[f124,f563]) ).
fof(f1917,plain,
! [X0,X1,X2] : ~ is_a_theorem(equivalent(equivalent(equivalent(a,equivalent(equivalent(equivalent(X0,X1),equivalent(X2,X1)),equivalent(X0,X2))),equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e)))),a)),
inference(resolution,[status(thm)],[f837,f64]) ).
fof(f3312,plain,
$false,
inference(resolution,[status(thm)],[f1733,f1917]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : LCL131-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.06 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.17/5.45 % Computer : n006.cluster.edu
% 0.17/5.45 % Model : x86_64 x86_64
% 0.17/5.45 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/5.45 % Memory : 8046.5625MB
% 0.17/5.45 % OS : Linux 6.8.0-71-generic
% 0.17/5.45 % CPULimit : 300
% 0.17/5.45 % WCLimit : 300
% 0.17/5.45 % DateTime : Mon Sep 21 00:06:32 UTC 2026
% 0.17/5.46 % CPUTime :
% 0.17/5.47 % Drodi V4.1.1
% 7.98/6.55 % Refutation found
% 7.98/6.55 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 7.98/6.55 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 7.98/6.57 % Elapsed time: 1.099833 seconds
% 7.98/6.57 % CPU time: 8.343892 seconds
% 7.98/6.57 % Total memory used: 125.743 MB
% 7.98/6.57 % Net memory used: 115.253 MB
%------------------------------------------------------------------------------