TSTP Solution File: LCL096-1 by Drodi---3.6.0
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%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : LCL096-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n006.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Apr 30 20:26:21 EDT 2024
% Result : Unsatisfiable 0.20s 0.43s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 5
% Syntax : Number of formulae : 20 ( 10 unt; 0 def)
% Number of atoms : 38 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 46 ( 28 ~; 18 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 6 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-1 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 60 ( 60 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X,Y] :
( ~ is_a_theorem(equivalent(X,Y))
| ~ is_a_theorem(X)
| is_a_theorem(Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [X,Y,Z,U] : is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X,Y),equivalent(X,Z)),equivalent(Y,Z)),U),U)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [X,Y,Z,U,V] : is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X,Y),equivalent(X,Z)),U),equivalent(equivalent(Y,Z),U)),V),V)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [X,Y,Z,U,V] : is_a_theorem(equivalent(equivalent(equivalent(equivalent(X,Y),Z),U),equivalent(equivalent(equivalent(X,V),Z),equivalent(equivalent(Y,V),U)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5,negated_conjecture,
~ is_a_theorem(equivalent(equivalent(equivalent(a,equivalent(equivalent(b,b),a)),c),c)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f6,plain,
! [Y] :
( ! [X] :
( ~ is_a_theorem(equivalent(X,Y))
| ~ is_a_theorem(X) )
| is_a_theorem(Y) ),
inference(miniscoping,[status(esa)],[f1]) ).
fof(f7,plain,
! [X0,X1] :
( ~ is_a_theorem(equivalent(X0,X1))
| ~ is_a_theorem(X0)
| is_a_theorem(X1) ),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f8,plain,
! [X0,X1,X2,X3] : is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),equivalent(X1,X2)),X3),X3)),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f9,plain,
! [X0,X1,X2,X3,X4] : is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X3),equivalent(equivalent(X1,X2),X3)),X4),X4)),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f10,plain,
! [X0,X1,X2,X3,X4] : is_a_theorem(equivalent(equivalent(equivalent(equivalent(X0,X1),X2),X3),equivalent(equivalent(equivalent(X0,X4),X2),equivalent(equivalent(X1,X4),X3)))),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f11,plain,
~ is_a_theorem(equivalent(equivalent(equivalent(a,equivalent(equivalent(b,b),a)),c),c)),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f12,plain,
! [X0] :
( ~ is_a_theorem(equivalent(X0,equivalent(equivalent(equivalent(a,equivalent(equivalent(b,b),a)),c),c)))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f7,f11]) ).
fof(f13,plain,
! [X0,X1] :
( ~ is_a_theorem(X0)
| ~ is_a_theorem(equivalent(X1,equivalent(X0,equivalent(equivalent(equivalent(a,equivalent(equivalent(b,b),a)),c),c))))
| ~ is_a_theorem(X1) ),
inference(resolution,[status(thm)],[f12,f7]) ).
fof(f25,plain,
! [X0,X1] :
( ~ is_a_theorem(equivalent(equivalent(X0,c),X1))
| ~ is_a_theorem(equivalent(equivalent(equivalent(X0,equivalent(a,equivalent(equivalent(b,b),a))),X1),c)) ),
inference(resolution,[status(thm)],[f10,f13]) ).
fof(f31,plain,
! [X0,X1,X2] :
( ~ is_a_theorem(equivalent(equivalent(equivalent(X0,equivalent(a,equivalent(equivalent(b,b),a))),X1),c))
| ~ is_a_theorem(equivalent(X2,equivalent(equivalent(X0,c),X1)))
| ~ is_a_theorem(X2) ),
inference(resolution,[status(thm)],[f25,f7]) ).
fof(f37,plain,
! [X0,X1,X2,X3] :
( ~ is_a_theorem(equivalent(equivalent(equivalent(X0,equivalent(a,equivalent(equivalent(b,b),a))),X1),c))
| ~ is_a_theorem(X2)
| ~ is_a_theorem(equivalent(X3,equivalent(X2,equivalent(equivalent(X0,c),X1))))
| ~ is_a_theorem(X3) ),
inference(resolution,[status(thm)],[f31,f7]) ).
fof(f67,plain,
! [X0,X1,X2,X3] :
( ~ is_a_theorem(equivalent(equivalent(equivalent(X0,equivalent(a,equivalent(equivalent(b,b),a))),X1),c))
| ~ is_a_theorem(equivalent(equivalent(X2,c),X3))
| ~ is_a_theorem(equivalent(equivalent(equivalent(X2,X0),X3),X1)) ),
inference(resolution,[status(thm)],[f37,f10]) ).
fof(f70,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ is_a_theorem(equivalent(equivalent(equivalent(X0,equivalent(a,equivalent(equivalent(b,b),a))),X1),c))
| ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X2,X3),equivalent(X2,X4)),X5),equivalent(equivalent(X3,X4),X5)),X0),c),X1)) ),
inference(resolution,[status(thm)],[f67,f9]) ).
fof(f261,plain,
! [X0,X1,X2,X3] : ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),X2),equivalent(equivalent(X3,X1),equivalent(equivalent(X0,X3),X2))),equivalent(a,equivalent(equivalent(b,b),a))),c),c)),
inference(resolution,[status(thm)],[f70,f9]) ).
fof(f264,plain,
$false,
inference(resolution,[status(thm)],[f261,f8]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : LCL096-1 : TPTP v8.1.2. Released v1.0.0.
% 0.03/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34 % Computer : n006.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Apr 29 20:13:35 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.13/0.35 % Drodi V3.6.0
% 0.20/0.43 % Refutation found
% 0.20/0.43 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.20/0.43 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.20/0.44 % Elapsed time: 0.093947 seconds
% 0.20/0.44 % CPU time: 0.651699 seconds
% 0.20/0.44 % Total memory used: 49.203 MB
% 0.20/0.44 % Net memory used: 47.904 MB
%------------------------------------------------------------------------------