TSTP Solution File: LCL130-1 by Drodi---3.6.0
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%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : LCL130-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n009.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 20:26:27 EDT 2024
% Result : Unsatisfiable 0.14s 0.36s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 3
% Syntax : Number of formulae : 23 ( 13 unt; 0 def)
% Number of atoms : 36 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 28 ( 15 ~; 13 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 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 : 75 ( 75 !; 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(X,equivalent(equivalent(Y,Z),equivalent(equivalent(Y,U),equivalent(Z,U)))),X)),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,plain,
! [Y] :
( ! [X] :
( ~ is_a_theorem(equivalent(X,Y))
| ~ is_a_theorem(X) )
| is_a_theorem(Y) ),
inference(miniscoping,[status(esa)],[f1]) ).
fof(f5,plain,
! [X0,X1] :
( ~ is_a_theorem(equivalent(X0,X1))
| ~ is_a_theorem(X0)
| is_a_theorem(X1) ),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f6,plain,
! [X0,X1,X2,X3] : is_a_theorem(equivalent(equivalent(X0,equivalent(equivalent(X1,X2),equivalent(equivalent(X1,X3),equivalent(X2,X3)))),X0)),
inference(cnf_transformation,[status(esa)],[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(esa)],[f3]) ).
fof(f8,plain,
! [X0,X1,X2,X3] :
( ~ is_a_theorem(equivalent(X0,equivalent(equivalent(X1,X2),equivalent(equivalent(X1,X3),equivalent(X2,X3)))))
| is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f6,f5]) ).
fof(f9,plain,
! [X0,X1,X2,X3,X4,X5] : is_a_theorem(equivalent(equivalent(equivalent(X0,X1),equivalent(equivalent(X0,X2),equivalent(X1,X2))),equivalent(equivalent(X3,X4),equivalent(equivalent(X3,X5),equivalent(X4,X5))))),
inference(resolution,[status(thm)],[f8,f6]) ).
fof(f10,plain,
! [X0,X1,X2] : is_a_theorem(equivalent(equivalent(X0,X1),equivalent(equivalent(X0,X2),equivalent(X1,X2)))),
inference(resolution,[status(thm)],[f9,f8]) ).
fof(f19,plain,
! [X0,X1,X2] :
( ~ is_a_theorem(equivalent(X0,X1))
| is_a_theorem(equivalent(equivalent(X0,X2),equivalent(X1,X2))) ),
inference(resolution,[status(thm)],[f10,f5]) ).
fof(f21,plain,
! [X0,X1,X2,X3,X4] : is_a_theorem(equivalent(equivalent(equivalent(X0,equivalent(equivalent(X1,X2),equivalent(equivalent(X1,X3),equivalent(X2,X3)))),X4),equivalent(X0,X4))),
inference(resolution,[status(thm)],[f19,f6]) ).
fof(f22,plain,
! [X0,X1,X2,X3] : is_a_theorem(equivalent(equivalent(equivalent(X0,X1),X2),equivalent(equivalent(equivalent(X0,X3),equivalent(X1,X3)),X2))),
inference(resolution,[status(thm)],[f19,f10]) ).
fof(f25,plain,
! [X0,X1,X2,X3] :
( ~ is_a_theorem(equivalent(equivalent(X0,X1),X2))
| is_a_theorem(equivalent(equivalent(equivalent(X0,X3),equivalent(X1,X3)),X2)) ),
inference(resolution,[status(thm)],[f22,f5]) ).
fof(f32,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)],[f25,f10]) ).
fof(f41,plain,
! [X0,X1,X2,X3] :
( ~ is_a_theorem(equivalent(equivalent(X0,X1),equivalent(X2,X1)))
| is_a_theorem(equivalent(equivalent(X0,X3),equivalent(X2,X3))) ),
inference(resolution,[status(thm)],[f32,f5]) ).
fof(f42,plain,
! [X0,X1,X2,X3,X4] :
( ~ is_a_theorem(equivalent(equivalent(X0,X1),equivalent(X2,X1)))
| is_a_theorem(equivalent(equivalent(equivalent(X0,X3),equivalent(X4,X3)),equivalent(X2,X4))) ),
inference(resolution,[status(thm)],[f41,f25]) ).
fof(f59,plain,
! [X0,X1,X2,X3,X4] :
( ~ is_a_theorem(equivalent(equivalent(X0,equivalent(equivalent(X1,X2),equivalent(equivalent(X1,X3),equivalent(X2,X3)))),X4))
| is_a_theorem(equivalent(X0,X4)) ),
inference(resolution,[status(thm)],[f21,f5]) ).
fof(f117,plain,
! [X0,X1,X2,X3] : is_a_theorem(equivalent(equivalent(equivalent(equivalent(X0,X1),X2),equivalent(X3,X2)),equivalent(equivalent(X0,X1),X3))),
inference(resolution,[status(thm)],[f42,f9]) ).
fof(f128,plain,
! [X0,X1,X2,X3] :
( ~ is_a_theorem(equivalent(equivalent(equivalent(X0,X1),X2),equivalent(X3,X2)))
| is_a_theorem(equivalent(equivalent(X0,X1),X3)) ),
inference(resolution,[status(thm)],[f117,f5]) ).
fof(f135,plain,
! [X0,X1] : is_a_theorem(equivalent(equivalent(X0,X1),equivalent(X0,X1))),
inference(resolution,[status(thm)],[f128,f9]) ).
fof(f179,plain,
! [X0,X1,X2,X3] : is_a_theorem(equivalent(X0,equivalent(X0,equivalent(equivalent(X1,X2),equivalent(equivalent(X1,X3),equivalent(X2,X3)))))),
inference(resolution,[status(thm)],[f59,f135]) ).
fof(f272,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[f7,f179]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : LCL130-1 : TPTP v8.1.2. Released v1.0.0.
% 0.11/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.14/0.34 % Computer : n009.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Mon Apr 29 20:22:26 EDT 2024
% 0.14/0.34 % CPUTime :
% 0.14/0.35 % Drodi V3.6.0
% 0.14/0.36 % Refutation found
% 0.14/0.36 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/0.36 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.14/0.37 % Elapsed time: 0.026147 seconds
% 0.14/0.37 % CPU time: 0.060784 seconds
% 0.14/0.37 % Total memory used: 8.431 MB
% 0.14/0.37 % Net memory used: 8.403 MB
%------------------------------------------------------------------------------