TSTP Solution File: LCL077-1 by Drodi---3.5.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : LCL077-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n007.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 12:18:11 EDT 2023
% Result : Unsatisfiable 0.14s 0.42s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 5
% Syntax : Number of formulae : 37 ( 24 unt; 0 def)
% Number of atoms : 53 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 34 ( 18 ~; 16 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-1 aty)
% Number of functors : 3 ( 3 usr; 1 con; 0-2 aty)
% Number of variables : 87 (; 87 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X,Y] :
( ~ is_a_theorem(implies(X,Y))
| ~ is_a_theorem(X)
| is_a_theorem(Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [X,Y] : is_a_theorem(implies(X,implies(Y,X))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [X,Y,Z] : is_a_theorem(implies(implies(X,implies(Y,Z)),implies(implies(X,Y),implies(X,Z)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [X,Y] : is_a_theorem(implies(implies(not(X),not(Y)),implies(Y,X))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,negated_conjecture,
~ is_a_theorem(implies(not(not(a)),a)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,plain,
! [Y] :
( ! [X] :
( ~ is_a_theorem(implies(X,Y))
| ~ is_a_theorem(X) )
| is_a_theorem(Y) ),
inference(miniscoping,[status(esa)],[f1]) ).
fof(f7,plain,
! [X0,X1] :
( ~ is_a_theorem(implies(X0,X1))
| ~ is_a_theorem(X0)
| is_a_theorem(X1) ),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f8,plain,
! [X0,X1] : is_a_theorem(implies(X0,implies(X1,X0))),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f9,plain,
! [X0,X1,X2] : is_a_theorem(implies(implies(X0,implies(X1,X2)),implies(implies(X0,X1),implies(X0,X2)))),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f10,plain,
! [X0,X1] : is_a_theorem(implies(implies(not(X0),not(X1)),implies(X1,X0))),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f11,plain,
~ is_a_theorem(implies(not(not(a)),a)),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f12,plain,
! [X0,X1] :
( ~ is_a_theorem(X0)
| is_a_theorem(implies(X1,X0)) ),
inference(resolution,[status(thm)],[f7,f8]) ).
fof(f22,plain,
! [X0,X1,X2] :
( ~ is_a_theorem(implies(X0,implies(X1,X2)))
| is_a_theorem(implies(implies(X0,X1),implies(X0,X2))) ),
inference(resolution,[status(thm)],[f9,f7]) ).
fof(f57,plain,
! [X0,X1,X2] : is_a_theorem(implies(implies(implies(X0,implies(X1,X2)),implies(X0,X1)),implies(implies(X0,implies(X1,X2)),implies(X0,X2)))),
inference(resolution,[status(thm)],[f22,f9]) ).
fof(f58,plain,
! [X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(X0,X0))),
inference(resolution,[status(thm)],[f22,f8]) ).
fof(f63,plain,
! [X0,X1,X2] :
( is_a_theorem(implies(implies(X0,X1),implies(X0,X2)))
| ~ is_a_theorem(implies(X1,X2)) ),
inference(resolution,[status(thm)],[f22,f12]) ).
fof(f67,plain,
! [X0,X1] :
( ~ is_a_theorem(implies(X0,X1))
| is_a_theorem(implies(X0,X0)) ),
inference(resolution,[status(thm)],[f58,f7]) ).
fof(f72,plain,
! [X0] : is_a_theorem(implies(X0,X0)),
inference(resolution,[status(thm)],[f67,f8]) ).
fof(f91,plain,
! [X0,X1] : is_a_theorem(implies(implies(implies(X0,X1),X0),implies(implies(X0,X1),X1))),
inference(resolution,[status(thm)],[f72,f22]) ).
fof(f95,plain,
! [X0,X1,X2] : is_a_theorem(implies(implies(X0,implies(not(X1),not(X2))),implies(X0,implies(X2,X1)))),
inference(resolution,[status(thm)],[f63,f10]) ).
fof(f99,plain,
! [X0,X1,X2] : is_a_theorem(implies(implies(X0,X1),implies(X0,implies(X2,X1)))),
inference(resolution,[status(thm)],[f63,f8]) ).
fof(f108,plain,
! [X0,X1,X2] :
( ~ is_a_theorem(implies(X0,X1))
| is_a_theorem(implies(X0,implies(X2,X1))) ),
inference(resolution,[status(thm)],[f99,f7]) ).
fof(f134,plain,
! [X0,X1,X2] :
( is_a_theorem(implies(X0,implies(X1,X2)))
| ~ is_a_theorem(X2) ),
inference(resolution,[status(thm)],[f108,f12]) ).
fof(f147,plain,
! [X0,X1,X2,X3] : is_a_theorem(implies(X0,implies(X1,implies(X2,implies(X3,X2))))),
inference(resolution,[status(thm)],[f134,f8]) ).
fof(f642,plain,
! [X0,X1,X2] : is_a_theorem(implies(X0,implies(implies(not(X1),not(X2)),implies(X2,X1)))),
inference(resolution,[status(thm)],[f10,f12]) ).
fof(f749,plain,
! [X0,X1] :
( ~ is_a_theorem(implies(implies(X0,X1),X0))
| is_a_theorem(implies(implies(X0,X1),X1)) ),
inference(resolution,[status(thm)],[f91,f7]) ).
fof(f960,plain,
! [X0,X1,X2,X3] : is_a_theorem(implies(implies(implies(X0,implies(X1,implies(X2,X1))),X3),X3)),
inference(resolution,[status(thm)],[f749,f147]) ).
fof(f1650,plain,
! [X0,X1,X2,X3] :
( ~ is_a_theorem(implies(implies(X0,implies(X1,implies(X2,X1))),X3))
| is_a_theorem(X3) ),
inference(resolution,[status(thm)],[f960,f7]) ).
fof(f1740,plain,
! [X0,X1,X2] : is_a_theorem(implies(implies(X0,implies(implies(X1,X0),X2)),implies(X0,X2))),
inference(resolution,[status(thm)],[f1650,f57]) ).
fof(f1813,plain,
! [X0,X1,X2] :
( ~ is_a_theorem(implies(X0,implies(implies(X1,X0),X2)))
| is_a_theorem(implies(X0,X2)) ),
inference(resolution,[status(thm)],[f1740,f7]) ).
fof(f1828,plain,
! [X0,X1] : is_a_theorem(implies(not(X0),implies(X0,X1))),
inference(resolution,[status(thm)],[f1813,f642]) ).
fof(f1853,plain,
! [X0,X1,X2] : is_a_theorem(implies(X0,implies(not(X1),implies(X1,X2)))),
inference(resolution,[status(thm)],[f1828,f12]) ).
fof(f1919,plain,
! [X0,X1,X2] : is_a_theorem(implies(implies(implies(not(X0),implies(X0,X1)),X2),X2)),
inference(resolution,[status(thm)],[f1853,f749]) ).
fof(f2726,plain,
! [X0,X1,X2] :
( ~ is_a_theorem(implies(implies(not(X0),implies(X0,X1)),X2))
| is_a_theorem(X2) ),
inference(resolution,[status(thm)],[f1919,f7]) ).
fof(f2888,plain,
! [X0,X1] : is_a_theorem(implies(not(not(X0)),implies(X1,X0))),
inference(resolution,[status(thm)],[f2726,f95]) ).
fof(f2934,plain,
! [X0] : is_a_theorem(implies(not(not(X0)),X0)),
inference(resolution,[status(thm)],[f2888,f1813]) ).
fof(f2949,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[f11,f2934]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.10 % Problem : LCL077-1 : TPTP v8.1.2. Released v1.0.0.
% 0.02/0.10 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.08/0.30 % Computer : n007.cluster.edu
% 0.08/0.30 % Model : x86_64 x86_64
% 0.08/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.30 % Memory : 8042.1875MB
% 0.08/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.08/0.30 % CPULimit : 300
% 0.08/0.30 % WCLimit : 300
% 0.08/0.30 % DateTime : Tue May 30 09:29:46 EDT 2023
% 0.08/0.30 % CPUTime :
% 0.08/0.31 % Drodi V3.5.1
% 0.14/0.42 % Refutation found
% 0.14/0.42 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/0.42 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.14/0.44 % Elapsed time: 0.130612 seconds
% 0.14/0.44 % CPU time: 0.485681 seconds
% 0.14/0.44 % Memory used: 36.511 MB
%------------------------------------------------------------------------------