TSTP Solution File: LCL008-1 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : LCL008-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n015.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 : Wed May 31 12:18:00 EDT 2023
% Result : Unsatisfiable 0.19s 0.37s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 3
% Syntax : Number of formulae : 16 ( 9 unt; 0 def)
% Number of atoms : 27 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 25 ( 14 ~; 11 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-1 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 31 (; 31 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X,Y] :
( ~ is_a_theorem(equivalent(X,Y))
| ~ is_a_theorem(X)
| is_a_theorem(Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [X,Y,Z] : is_a_theorem(equivalent(equivalent(X,Y),equivalent(equivalent(Z,Y),equivalent(X,Z)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,negated_conjecture,
~ is_a_theorem(equivalent(equivalent(a,b),equivalent(b,a))),
file('/export/starexec/sandbox/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] : is_a_theorem(equivalent(equivalent(X0,X1),equivalent(equivalent(X2,X1),equivalent(X0,X2)))),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f7,plain,
~ is_a_theorem(equivalent(equivalent(a,b),equivalent(b,a))),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f8,plain,
! [X0,X1,X2] :
( ~ is_a_theorem(equivalent(X0,X1))
| is_a_theorem(equivalent(equivalent(X2,X1),equivalent(X0,X2))) ),
inference(resolution,[status(thm)],[f6,f5]) ).
fof(f9,plain,
~ is_a_theorem(equivalent(b,b)),
inference(resolution,[status(thm)],[f8,f7]) ).
fof(f10,plain,
! [X0,X1,X2] :
( ~ is_a_theorem(equivalent(X0,X1))
| ~ is_a_theorem(equivalent(X2,X1))
| is_a_theorem(equivalent(X0,X2)) ),
inference(resolution,[status(thm)],[f8,f5]) ).
fof(f11,plain,
! [X0,X1,X2,X3] :
( ~ is_a_theorem(equivalent(X0,equivalent(equivalent(X1,X2),equivalent(X3,X1))))
| is_a_theorem(equivalent(X0,equivalent(X3,X2))) ),
inference(resolution,[status(thm)],[f10,f6]) ).
fof(f13,plain,
! [X0,X1] : is_a_theorem(equivalent(equivalent(X0,X1),equivalent(X0,X1))),
inference(resolution,[status(thm)],[f11,f6]) ).
fof(f15,plain,
! [X0,X1,X2] : is_a_theorem(equivalent(equivalent(equivalent(X0,X1),equivalent(X2,X0)),equivalent(X2,X1))),
inference(resolution,[status(thm)],[f13,f11]) ).
fof(f18,plain,
! [X0,X1,X2] :
( ~ is_a_theorem(equivalent(equivalent(X0,X1),equivalent(X2,X0)))
| is_a_theorem(equivalent(X2,X1)) ),
inference(resolution,[status(thm)],[f15,f5]) ).
fof(f19,plain,
! [X0] : is_a_theorem(equivalent(X0,X0)),
inference(resolution,[status(thm)],[f18,f13]) ).
fof(f20,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[f9,f19]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : LCL008-1 : TPTP v8.1.2. Released v1.0.0.
% 0.03/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.12/0.34 % Computer : n015.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Tue May 30 10:00:34 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.12/0.35 % Drodi V3.5.1
% 0.19/0.37 % Refutation found
% 0.19/0.37 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.19/0.37 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.19/0.37 % Elapsed time: 0.022220 seconds
% 0.19/0.37 % CPU time: 0.039823 seconds
% 0.19/0.37 % Memory used: 7.320 MB
%------------------------------------------------------------------------------