TSTP Solution File: LCL378-1 by Drodi---3.6.0
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%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : LCL378-1 : TPTP v8.1.2. Released v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n003.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 20:27:03 EDT 2024
% Result : Unsatisfiable 7.37s 1.35s
% Output : CNFRefutation 7.80s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 5
% Syntax : Number of formulae : 45 ( 30 unt; 0 def)
% Number of atoms : 64 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 43 ( 24 ~; 19 |; 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 : 101 ( 101 !; 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(not(x),implies(x,y))),
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(not(x),implies(x,y))),
inference(cnf_transformation,[status(esa)],[f5]) ).
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(f24,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(f25,plain,
! [X0] :
( ~ is_a_theorem(implies(not(x),X0))
| ~ is_a_theorem(implies(X0,implies(x,y))) ),
inference(resolution,[status(thm)],[f24,f11]) ).
fof(f305,plain,
! [X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(implies(not(X0),X0),X1))),
inference(resolution,[status(thm)],[f14,f9]) ).
fof(f306,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(f307,plain,
! [X0,X1,X2] : is_a_theorem(implies(implies(implies(not(X0),X1),X2),implies(X0,X2))),
inference(resolution,[status(thm)],[f14,f10]) ).
fof(f334,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)],[f305,f14]) ).
fof(f345,plain,
! [X0,X1,X2] :
( ~ is_a_theorem(implies(implies(not(X0),X1),X2))
| is_a_theorem(implies(X0,X2)) ),
inference(resolution,[status(thm)],[f307,f7]) ).
fof(f366,plain,
! [X0] : is_a_theorem(implies(X0,X0)),
inference(resolution,[status(thm)],[f345,f9]) ).
fof(f393,plain,
! [X0,X1] : is_a_theorem(implies(not(implies(X0,X0)),X1)),
inference(resolution,[status(thm)],[f366,f13]) ).
fof(f424,plain,
! [X0,X1,X2] : is_a_theorem(implies(implies(X0,X1),implies(not(implies(X2,X2)),X1))),
inference(resolution,[status(thm)],[f393,f14]) ).
fof(f434,plain,
! [X0,X1,X2,X3] :
( ~ is_a_theorem(implies(X0,implies(implies(not(X1),X2),X3)))
| is_a_theorem(implies(X0,implies(X1,X3))) ),
inference(resolution,[status(thm)],[f24,f307]) ).
fof(f436,plain,
! [X0,X1] :
( ~ is_a_theorem(implies(X0,implies(not(X1),X1)))
| is_a_theorem(implies(X0,X1)) ),
inference(resolution,[status(thm)],[f24,f9]) ).
fof(f438,plain,
! [X0,X1,X2,X3] :
( ~ is_a_theorem(implies(X0,implies(X1,X2)))
| is_a_theorem(implies(X0,implies(implies(X2,X3),implies(X1,X3)))) ),
inference(resolution,[status(thm)],[f24,f8]) ).
fof(f706,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)],[f306,f7]) ).
fof(f838,plain,
! [X0,X1] : is_a_theorem(implies(implies(X0,implies(X1,X1)),implies(X1,X1))),
inference(resolution,[status(thm)],[f436,f424]) ).
fof(f1012,plain,
! [X0,X1] : is_a_theorem(implies(X0,implies(X1,X1))),
inference(resolution,[status(thm)],[f345,f838]) ).
fof(f1038,plain,
! [X0,X1,X2] : is_a_theorem(implies(implies(implies(X0,X0),X1),implies(X2,X1))),
inference(resolution,[status(thm)],[f1012,f14]) ).
fof(f1178,plain,
! [X0,X1] : is_a_theorem(implies(implies(implies(X0,X0),X1),X1)),
inference(resolution,[status(thm)],[f1038,f436]) ).
fof(f1344,plain,
! [X0,X1,X2] :
( ~ is_a_theorem(implies(X0,implies(implies(X1,X1),X2)))
| is_a_theorem(implies(X0,X2)) ),
inference(resolution,[status(thm)],[f1178,f24]) ).
fof(f2285,plain,
! [X0,X1,X2] : is_a_theorem(implies(implies(implies(not(implies(X0,X0)),X1),X2),X2)),
inference(resolution,[status(thm)],[f1344,f307]) ).
fof(f2403,plain,
! [X0,X1] : is_a_theorem(implies(implies(implies(implies(not(X0),X0),X0),X1),X1)),
inference(resolution,[status(thm)],[f334,f1344]) ).
fof(f4326,plain,
! [X0,X1,X2] :
( ~ is_a_theorem(implies(not(x),implies(X0,X1)))
| ~ is_a_theorem(implies(implies(implies(X1,X2),implies(X0,X2)),implies(x,y))) ),
inference(resolution,[status(thm)],[f438,f25]) ).
fof(f5847,plain,
! [X0] : ~ is_a_theorem(implies(not(x),implies(x,not(implies(X0,X0))))),
inference(resolution,[status(thm)],[f4326,f2285]) ).
fof(f6510,plain,
! [X0,X1] : is_a_theorem(implies(implies(X0,implies(not(X1),X1)),implies(X0,X1))),
inference(resolution,[status(thm)],[f706,f2403]) ).
fof(f6868,plain,
! [X0,X1] : is_a_theorem(implies(implies(not(X0),X1),implies(implies(X1,X0),X0))),
inference(resolution,[status(thm)],[f6510,f706]) ).
fof(f7076,plain,
! [X0,X1] : is_a_theorem(implies(X0,implies(implies(X1,X0),X0))),
inference(resolution,[status(thm)],[f6868,f345]) ).
fof(f7132,plain,
! [X0,X1] : is_a_theorem(implies(X0,implies(X1,X0))),
inference(resolution,[status(thm)],[f7076,f434]) ).
fof(f7195,plain,
! [X0,X1,X2] : is_a_theorem(implies(implies(implies(X0,X1),X2),implies(X1,X2))),
inference(resolution,[status(thm)],[f7132,f14]) ).
fof(f8392,plain,
! [X0,X1,X2] :
( ~ is_a_theorem(implies(implies(X0,X1),X2))
| is_a_theorem(implies(X1,X2)) ),
inference(resolution,[status(thm)],[f7195,f7]) ).
fof(f8887,plain,
! [X0,X1] : is_a_theorem(implies(X0,implies(implies(X0,X1),X1))),
inference(resolution,[status(thm)],[f8392,f6868]) ).
fof(f8971,plain,
! [X0,X1] : is_a_theorem(implies(not(X0),implies(X0,X1))),
inference(resolution,[status(thm)],[f8887,f434]) ).
fof(f8995,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[f5847,f8971]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : LCL378-1 : TPTP v8.1.2. Released v2.3.0.
% 0.12/0.14 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.36 % Computer : n003.cluster.edu
% 0.13/0.36 % Model : x86_64 x86_64
% 0.13/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.36 % Memory : 8042.1875MB
% 0.13/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.36 % CPULimit : 300
% 0.13/0.36 % WCLimit : 300
% 0.13/0.36 % DateTime : Mon Apr 29 20:28:03 EDT 2024
% 0.13/0.36 % CPUTime :
% 0.13/0.37 % Drodi V3.6.0
% 7.37/1.35 % Refutation found
% 7.37/1.35 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 7.37/1.35 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 7.80/1.41 % Elapsed time: 1.030722 seconds
% 7.80/1.41 % CPU time: 7.968956 seconds
% 7.80/1.41 % Total memory used: 214.939 MB
% 7.80/1.41 % Net memory used: 198.144 MB
%------------------------------------------------------------------------------