TSTP Solution File: LCL059-1 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : LCL059-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n002.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 12:18:08 EDT 2023
% Result : Unsatisfiable 3.12s 0.79s
% Output : CNFRefutation 3.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 5
% Syntax : Number of formulae : 42 ( 22 unt; 0 def)
% Number of atoms : 71 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 64 ( 35 ~; 29 |; 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 : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 90 (; 90 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X,Y] :
( ~ is_a_theorem(implies(X,Y))
| ~ is_a_theorem(X)
| is_a_theorem(Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [X,Y,Z] : is_a_theorem(implies(implies(X,Y),implies(implies(Y,Z),implies(X,Z)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [X] : is_a_theorem(implies(implies(not(X),X),X)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [X,Y] : is_a_theorem(implies(X,implies(not(X),Y))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5,negated_conjecture,
~ is_a_theorem(implies(implies(not(a),not(b)),implies(b,a))),
file('/export/starexec/sandbox2/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,X2] : is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2)))),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f9,plain,
! [X0] : is_a_theorem(implies(implies(not(X0),X0),X0)),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f10,plain,
! [X0,X1] : is_a_theorem(implies(X0,implies(not(X0),X1))),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f11,plain,
~ is_a_theorem(implies(implies(not(a),not(b)),implies(b,a))),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f12,plain,
! [X0] :
( ~ is_a_theorem(implies(not(X0),X0))
| is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f7,f9]) ).
fof(f13,plain,
! [X0,X1] :
( ~ is_a_theorem(X0)
| is_a_theorem(implies(not(X0),X1)) ),
inference(resolution,[status(thm)],[f7,f10]) ).
fof(f14,plain,
! [X0,X1,X2] :
( ~ is_a_theorem(implies(X0,X1))
| is_a_theorem(implies(implies(X1,X2),implies(X0,X2))) ),
inference(resolution,[status(thm)],[f8,f7]) ).
fof(f23,plain,
! [X0,X1,X2] :
( ~ is_a_theorem(implies(X0,X1))
| ~ is_a_theorem(implies(X1,X2))
| is_a_theorem(implies(X0,X2)) ),
inference(resolution,[status(thm)],[f14,f7]) ).
fof(f24,plain,
! [X0,X1] :
( ~ is_a_theorem(implies(not(X0),X1))
| ~ is_a_theorem(implies(X1,X0))
| is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f23,f12]) ).
fof(f25,plain,
! [X0] :
( ~ is_a_theorem(implies(implies(not(a),not(b)),X0))
| ~ is_a_theorem(implies(X0,implies(b,a))) ),
inference(resolution,[status(thm)],[f23,f11]) ).
fof(f27,plain,
! [X0,X1] :
( ~ is_a_theorem(implies(implies(not(not(X0)),X1),X0))
| is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f24,f10]) ).
fof(f30,plain,
! [X0,X1,X2] :
( is_a_theorem(X0)
| ~ is_a_theorem(implies(implies(not(not(X0)),X1),X2))
| ~ is_a_theorem(implies(X2,X0)) ),
inference(resolution,[status(thm)],[f27,f23]) ).
fof(f69,plain,
! [X0,X1] :
( ~ is_a_theorem(implies(X0,implies(b,a)))
| ~ is_a_theorem(implies(implies(not(a),not(b)),X1))
| ~ is_a_theorem(implies(X1,X0)) ),
inference(resolution,[status(thm)],[f25,f23]) ).
fof(f75,plain,
! [X0,X1,X2] :
( is_a_theorem(X0)
| ~ is_a_theorem(implies(implies(X1,X2),X0))
| ~ is_a_theorem(implies(X1,not(not(X0)))) ),
inference(resolution,[status(thm)],[f30,f14]) ).
fof(f82,plain,
! [X0,X1,X2] :
( is_a_theorem(X0)
| ~ is_a_theorem(implies(implies(not(X1),X2),X0))
| ~ is_a_theorem(X1) ),
inference(resolution,[status(thm)],[f75,f13]) ).
fof(f85,plain,
! [X0,X1,X2] :
( is_a_theorem(implies(implies(X0,X1),implies(not(X2),X1)))
| ~ is_a_theorem(X2) ),
inference(resolution,[status(thm)],[f82,f8]) ).
fof(f393,plain,
! [X0,X1] :
( ~ is_a_theorem(implies(X0,implies(b,a)))
| ~ is_a_theorem(implies(implies(implies(not(b),X1),implies(not(a),X1)),X0)) ),
inference(resolution,[status(thm)],[f8,f69]) ).
fof(f399,plain,
! [X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(implies(not(X0),X0),X1))),
inference(resolution,[status(thm)],[f14,f9]) ).
fof(f400,plain,
! [X0,X1,X2,X3] : is_a_theorem(implies(implies(implies(implies(X0,X1),implies(X2,X1)),X3),implies(implies(X2,X0),X3))),
inference(resolution,[status(thm)],[f14,f8]) ).
fof(f404,plain,
! [X0,X1,X2] : is_a_theorem(implies(implies(implies(not(X0),X1),X2),implies(X0,X2))),
inference(resolution,[status(thm)],[f14,f10]) ).
fof(f443,plain,
! [X0,X1,X2] : is_a_theorem(implies(implies(implies(implies(not(X0),X0),X1),X2),implies(implies(X0,X1),X2))),
inference(resolution,[status(thm)],[f399,f14]) ).
fof(f451,plain,
! [X0,X1,X2] :
( ~ is_a_theorem(implies(implies(not(X0),X1),X2))
| is_a_theorem(implies(X0,X2)) ),
inference(resolution,[status(thm)],[f404,f7]) ).
fof(f472,plain,
! [X0] : is_a_theorem(implies(X0,X0)),
inference(resolution,[status(thm)],[f451,f9]) ).
fof(f484,plain,
! [X0,X1,X2] : is_a_theorem(implies(implies(X0,X1),implies(not(implies(X2,X2)),X1))),
inference(resolution,[status(thm)],[f472,f85]) ).
fof(f564,plain,
! [X0,X1] :
( ~ is_a_theorem(implies(X0,implies(not(X1),X1)))
| is_a_theorem(implies(X0,X1)) ),
inference(resolution,[status(thm)],[f23,f9]) ).
fof(f578,plain,
! [X0,X1,X2,X3] :
( ~ is_a_theorem(implies(implies(implies(X0,X1),implies(X2,X1)),X3))
| is_a_theorem(implies(implies(X2,X0),X3)) ),
inference(resolution,[status(thm)],[f400,f7]) ).
fof(f914,plain,
! [X0,X1,X2] : is_a_theorem(implies(X0,implies(not(implies(X1,X1)),X2))),
inference(resolution,[status(thm)],[f484,f451]) ).
fof(f975,plain,
! [X0,X1] : is_a_theorem(implies(X0,implies(X1,X1))),
inference(resolution,[status(thm)],[f564,f914]) ).
fof(f995,plain,
! [X0,X1,X2] : is_a_theorem(implies(implies(implies(X0,X0),X1),implies(X2,X1))),
inference(resolution,[status(thm)],[f975,f14]) ).
fof(f1065,plain,
! [X0,X1] : is_a_theorem(implies(implies(implies(X0,X0),X1),X1)),
inference(resolution,[status(thm)],[f995,f564]) ).
fof(f1097,plain,
! [X0,X1,X2] :
( ~ is_a_theorem(implies(X0,implies(implies(X1,X1),X2)))
| is_a_theorem(implies(X0,X2)) ),
inference(resolution,[status(thm)],[f1065,f23]) ).
fof(f2205,plain,
! [X0,X1] : is_a_theorem(implies(implies(implies(implies(not(X0),X0),X0),X1),X1)),
inference(resolution,[status(thm)],[f1097,f443]) ).
fof(f2355,plain,
! [X0,X1] : is_a_theorem(implies(implies(X0,implies(not(X1),X1)),implies(X0,X1))),
inference(resolution,[status(thm)],[f578,f2205]) ).
fof(f3338,plain,
~ is_a_theorem(implies(implies(implies(not(b),a),a),implies(b,a))),
inference(resolution,[status(thm)],[f2355,f393]) ).
fof(f3339,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f3338,f404]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.09 % Problem : LCL059-1 : TPTP v8.1.2. Released v1.0.0.
% 0.02/0.09 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.08/0.29 % Computer : n002.cluster.edu
% 0.08/0.29 % Model : x86_64 x86_64
% 0.08/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.29 % Memory : 8042.1875MB
% 0.08/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.08/0.29 % CPULimit : 300
% 0.08/0.29 % WCLimit : 300
% 0.08/0.29 % DateTime : Tue May 30 09:55:28 EDT 2023
% 0.08/0.29 % CPUTime :
% 0.08/0.30 % Drodi V3.5.1
% 3.12/0.79 % Refutation found
% 3.12/0.79 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 3.12/0.79 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 3.12/0.82 % Elapsed time: 0.516888 seconds
% 3.12/0.82 % CPU time: 3.499843 seconds
% 3.12/0.82 % Memory used: 83.246 MB
%------------------------------------------------------------------------------