TSTP Solution File: LCL367-1 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : LCL367-1 : TPTP v8.1.2. Released v2.3.0.
% 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 12:19:05 EDT 2023
% Result : Unsatisfiable 0.16s 0.44s
% Output : CNFRefutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 5
% Syntax : Number of formulae : 48 ( 33 unt; 0 def)
% Number of atoms : 66 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 38 ( 20 ~; 18 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 7 ( 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 : 122 (; 122 !; 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(x,implies(implies(y,x),x))),
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(x,implies(implies(y,x),x))),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f12,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(f13,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)],[f12,f8]) ).
fof(f15,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)],[f13,f7]) ).
fof(f18,plain,
! [X0,X1,X2,X3] : is_a_theorem(implies(implies(X0,implies(X1,X2)),implies(implies(X3,X1),implies(X0,implies(X3,X2))))),
inference(resolution,[status(thm)],[f15,f13]) ).
fof(f23,plain,
! [X0,X1,X2,X3] :
( ~ is_a_theorem(implies(X0,implies(X1,X2)))
| is_a_theorem(implies(implies(X3,X1),implies(X0,implies(X3,X2)))) ),
inference(resolution,[status(thm)],[f18,f7]) ).
fof(f85,plain,
! [X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(implies(not(X0),X0),X1))),
inference(resolution,[status(thm)],[f9,f12]) ).
fof(f86,plain,
! [X0] :
( ~ is_a_theorem(implies(not(X0),X0))
| is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f9,f7]) ).
fof(f89,plain,
! [X0,X1,X2] : is_a_theorem(implies(implies(X0,not(X1)),implies(X1,implies(X0,X2)))),
inference(resolution,[status(thm)],[f10,f23]) ).
fof(f92,plain,
! [X0,X1,X2] : is_a_theorem(implies(implies(implies(not(X0),X1),X2),implies(X0,X2))),
inference(resolution,[status(thm)],[f10,f12]) ).
fof(f93,plain,
! [X0,X1] :
( ~ is_a_theorem(X0)
| is_a_theorem(implies(not(X0),X1)) ),
inference(resolution,[status(thm)],[f10,f7]) ).
fof(f94,plain,
! [X0,X1] : is_a_theorem(implies(not(implies(implies(not(X0),X0),X0)),X1)),
inference(resolution,[status(thm)],[f93,f9]) ).
fof(f151,plain,
! [X0,X1,X2,X3] : is_a_theorem(implies(implies(implies(X0,X1),X2),implies(implies(implies(not(X0),X3),X1),X2))),
inference(resolution,[status(thm)],[f92,f12]) ).
fof(f152,plain,
! [X0,X1,X2] :
( ~ is_a_theorem(implies(implies(not(X0),X1),X2))
| is_a_theorem(implies(X0,X2)) ),
inference(resolution,[status(thm)],[f92,f7]) ).
fof(f184,plain,
! [X0] : is_a_theorem(implies(X0,X0)),
inference(resolution,[status(thm)],[f152,f9]) ).
fof(f185,plain,
! [X0,X1,X2] : is_a_theorem(implies(X0,implies(X1,implies(not(X0),X2)))),
inference(resolution,[status(thm)],[f152,f89]) ).
fof(f252,plain,
! [X0,X1,X2] :
( ~ is_a_theorem(X0)
| is_a_theorem(implies(X1,implies(not(X0),X2))) ),
inference(resolution,[status(thm)],[f185,f7]) ).
fof(f256,plain,
! [X0,X1,X2] : is_a_theorem(implies(X0,implies(not(implies(X1,X1)),X2))),
inference(resolution,[status(thm)],[f252,f184]) ).
fof(f381,plain,
! [X0] : is_a_theorem(implies(implies(not(X0),X0),X0)),
inference(resolution,[status(thm)],[f94,f86]) ).
fof(f438,plain,
! [X0,X1,X2,X3] : is_a_theorem(implies(implies(implies(not(implies(X0,X0)),X1),X2),implies(X3,X2))),
inference(resolution,[status(thm)],[f12,f256]) ).
fof(f440,plain,
! [X0,X1,X2,X3] : is_a_theorem(implies(implies(implies(X0,implies(not(X1),X2)),X3),implies(X1,X3))),
inference(resolution,[status(thm)],[f12,f185]) ).
fof(f967,plain,
! [X0,X1,X2,X3] :
( ~ is_a_theorem(implies(implies(not(implies(X0,X0)),X1),X2))
| is_a_theorem(implies(X3,X2)) ),
inference(resolution,[status(thm)],[f438,f7]) ).
fof(f975,plain,
! [X0,X1,X2,X3] :
( ~ is_a_theorem(implies(implies(X0,implies(not(X1),X2)),X3))
| is_a_theorem(implies(X1,X3)) ),
inference(resolution,[status(thm)],[f440,f7]) ).
fof(f983,plain,
! [X0,X1] : is_a_theorem(implies(X0,implies(X1,X1))),
inference(resolution,[status(thm)],[f967,f381]) ).
fof(f1004,plain,
! [X0,X1,X2] : is_a_theorem(implies(implies(implies(X0,X0),X1),implies(X2,X1))),
inference(resolution,[status(thm)],[f983,f12]) ).
fof(f1033,plain,
! [X0,X1,X2] :
( ~ is_a_theorem(implies(implies(X0,X0),X1))
| is_a_theorem(implies(X2,X1)) ),
inference(resolution,[status(thm)],[f1004,f7]) ).
fof(f1047,plain,
! [X0,X1] : is_a_theorem(implies(X0,implies(implies(not(X1),X1),X1))),
inference(resolution,[status(thm)],[f1033,f85]) ).
fof(f1109,plain,
! [X0,X1,X2] : is_a_theorem(implies(implies(implies(implies(not(X0),X0),X0),X1),implies(X2,X1))),
inference(resolution,[status(thm)],[f1047,f12]) ).
fof(f1945,plain,
! [X0,X1,X2] :
( ~ is_a_theorem(implies(implies(implies(not(X0),X0),X0),X1))
| is_a_theorem(implies(X2,X1)) ),
inference(resolution,[status(thm)],[f1109,f7]) ).
fof(f2017,plain,
! [X0,X1,X2] : is_a_theorem(implies(implies(X0,implies(not(X1),X1)),implies(X2,implies(X0,X1)))),
inference(resolution,[status(thm)],[f15,f1109]) ).
fof(f3124,plain,
! [X0,X1,X2] : is_a_theorem(implies(X0,implies(implies(implies(not(not(X1)),X2),X1),X1))),
inference(resolution,[status(thm)],[f1945,f151]) ).
fof(f3198,plain,
! [X0,X1] : is_a_theorem(implies(implies(implies(not(not(X0)),X1),X0),X0)),
inference(resolution,[status(thm)],[f3124,f86]) ).
fof(f3223,plain,
! [X0,X1] :
( ~ is_a_theorem(implies(implies(not(not(X0)),X1),X0))
| is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f3198,f7]) ).
fof(f3357,plain,
! [X0,X1,X2] : is_a_theorem(implies(X0,implies(X1,implies(X2,X0)))),
inference(resolution,[status(thm)],[f2017,f975]) ).
fof(f3382,plain,
! [X0,X1,X2,X3] : is_a_theorem(implies(implies(implies(X0,implies(X1,X2)),X3),implies(X2,X3))),
inference(resolution,[status(thm)],[f3357,f12]) ).
fof(f4248,plain,
! [X0,X1,X2] : is_a_theorem(implies(X0,implies(X1,implies(X2,X1)))),
inference(resolution,[status(thm)],[f3382,f1945]) ).
fof(f4269,plain,
! [X0,X1] : is_a_theorem(implies(X0,implies(X1,X0))),
inference(resolution,[status(thm)],[f4248,f3223]) ).
fof(f4298,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[f11,f4269]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.11 % Problem : LCL367-1 : TPTP v8.1.2. Released v2.3.0.
% 0.08/0.11 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.32 % Computer : n015.cluster.edu
% 0.10/0.32 % Model : x86_64 x86_64
% 0.10/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.32 % Memory : 8042.1875MB
% 0.10/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.32 % CPULimit : 300
% 0.10/0.32 % WCLimit : 300
% 0.10/0.32 % DateTime : Tue May 30 10:03:04 EDT 2023
% 0.10/0.32 % CPUTime :
% 0.10/0.32 % Drodi V3.5.1
% 0.16/0.44 % Refutation found
% 0.16/0.44 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.16/0.44 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.16/0.45 % Elapsed time: 0.131426 seconds
% 0.16/0.45 % CPU time: 0.767225 seconds
% 0.16/0.45 % Memory used: 41.779 MB
%------------------------------------------------------------------------------