TSTP Solution File: LCL379-1 by Drodi---3.6.0
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%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : LCL379-1 : TPTP v8.1.2. Released v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n019.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 11.06s 1.78s
% Output : CNFRefutation 11.06s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 5
% Syntax : Number of formulae : 46 ( 29 unt; 0 def)
% Number of atoms : 71 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 56 ( 31 ~; 25 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 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 : 100 ( 100 !; 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(x,not(x)),not(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(implies(x,not(x)),not(x))),
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(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(f25,plain,
! [X0] :
( ~ is_a_theorem(implies(implies(x,not(x)),X0))
| ~ is_a_theorem(implies(X0,not(x))) ),
inference(resolution,[status(thm)],[f23,f11]) ).
fof(f26,plain,
! [X0,X1,X2] :
( ~ is_a_theorem(implies(X0,X1))
| ~ is_a_theorem(implies(X1,X2))
| ~ is_a_theorem(X0)
| is_a_theorem(X2) ),
inference(resolution,[status(thm)],[f23,f7]) ).
fof(f37,plain,
! [X0,X1,X2,X3] :
( ~ is_a_theorem(implies(X0,implies(X1,X2)))
| ~ is_a_theorem(X0)
| is_a_theorem(implies(implies(X2,X3),implies(X1,X3))) ),
inference(resolution,[status(thm)],[f26,f8]) ).
fof(f126,plain,
! [X0,X1] :
( ~ is_a_theorem(implies(X0,implies(X1,x)))
| ~ is_a_theorem(X0)
| ~ is_a_theorem(implies(implies(X1,not(x)),not(x))) ),
inference(resolution,[status(thm)],[f37,f25]) ).
fof(f179,plain,
! [X0] :
( ~ is_a_theorem(implies(X0,implies(not(not(x)),x)))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f9,f126]) ).
fof(f290,plain,
! [X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(implies(not(X0),X0),X1))),
inference(resolution,[status(thm)],[f14,f9]) ).
fof(f291,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(f292,plain,
! [X0,X1,X2] : is_a_theorem(implies(implies(implies(not(X0),X1),X2),implies(X0,X2))),
inference(resolution,[status(thm)],[f14,f10]) ).
fof(f322,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)],[f290,f14]) ).
fof(f335,plain,
! [X0,X1,X2] :
( ~ is_a_theorem(implies(implies(not(X0),X1),X2))
| is_a_theorem(implies(X0,X2)) ),
inference(resolution,[status(thm)],[f292,f7]) ).
fof(f359,plain,
! [X0] : is_a_theorem(implies(X0,X0)),
inference(resolution,[status(thm)],[f335,f9]) ).
fof(f390,plain,
! [X0,X1] : is_a_theorem(implies(not(implies(X0,X0)),X1)),
inference(resolution,[status(thm)],[f359,f13]) ).
fof(f425,plain,
! [X0,X1,X2] : is_a_theorem(implies(implies(X0,X1),implies(not(implies(X2,X2)),X1))),
inference(resolution,[status(thm)],[f390,f14]) ).
fof(f435,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)],[f23,f292]) ).
fof(f437,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(f698,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)],[f291,f7]) ).
fof(f827,plain,
! [X0,X1] : is_a_theorem(implies(implies(X0,implies(X1,X1)),implies(X1,X1))),
inference(resolution,[status(thm)],[f437,f425]) ).
fof(f1009,plain,
! [X0,X1] : is_a_theorem(implies(X0,implies(X1,X1))),
inference(resolution,[status(thm)],[f335,f827]) ).
fof(f1036,plain,
! [X0,X1,X2] : is_a_theorem(implies(implies(implies(X0,X0),X1),implies(X2,X1))),
inference(resolution,[status(thm)],[f1009,f14]) ).
fof(f1191,plain,
! [X0,X1] : is_a_theorem(implies(implies(implies(X0,X0),X1),X1)),
inference(resolution,[status(thm)],[f1036,f437]) ).
fof(f1238,plain,
! [X0,X1,X2] :
( ~ is_a_theorem(implies(X0,implies(implies(X1,X1),X2)))
| is_a_theorem(implies(X0,X2)) ),
inference(resolution,[status(thm)],[f1191,f23]) ).
fof(f2805,plain,
! [X0,X1] : is_a_theorem(implies(implies(implies(implies(not(X0),X0),X0),X1),X1)),
inference(resolution,[status(thm)],[f322,f1238]) ).
fof(f6161,plain,
! [X0,X1] : is_a_theorem(implies(implies(X0,implies(not(X1),X1)),implies(X0,X1))),
inference(resolution,[status(thm)],[f698,f2805]) ).
fof(f6573,plain,
! [X0,X1] : is_a_theorem(implies(implies(not(X0),X1),implies(implies(X1,X0),X0))),
inference(resolution,[status(thm)],[f6161,f698]) ).
fof(f6591,plain,
~ is_a_theorem(implies(not(not(x)),implies(not(x),x))),
inference(resolution,[status(thm)],[f6161,f179]) ).
fof(f6783,plain,
! [X0,X1] : is_a_theorem(implies(X0,implies(implies(X1,X0),X0))),
inference(resolution,[status(thm)],[f6573,f335]) ).
fof(f6841,plain,
! [X0,X1] : is_a_theorem(implies(X0,implies(X1,X0))),
inference(resolution,[status(thm)],[f6783,f435]) ).
fof(f6900,plain,
! [X0,X1,X2] : is_a_theorem(implies(implies(implies(X0,X1),X2),implies(X1,X2))),
inference(resolution,[status(thm)],[f6841,f14]) ).
fof(f8136,plain,
! [X0,X1,X2] :
( ~ is_a_theorem(implies(implies(X0,X1),X2))
| is_a_theorem(implies(X1,X2)) ),
inference(resolution,[status(thm)],[f6900,f7]) ).
fof(f8741,plain,
! [X0,X1] : is_a_theorem(implies(X0,implies(implies(X0,X1),X1))),
inference(resolution,[status(thm)],[f8136,f6573]) ).
fof(f8818,plain,
! [X0,X1] : is_a_theorem(implies(not(X0),implies(X0,X1))),
inference(resolution,[status(thm)],[f8741,f435]) ).
fof(f8843,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[f6591,f8818]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : LCL379-1 : TPTP v8.1.2. Released v2.3.0.
% 0.11/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34 % Computer : n019.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Apr 29 20:33:44 EDT 2024
% 0.19/0.34 % CPUTime :
% 0.19/0.35 % Drodi V3.6.0
% 11.06/1.78 % Refutation found
% 11.06/1.78 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 11.06/1.78 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 11.50/1.85 % Elapsed time: 1.491469 seconds
% 11.50/1.85 % CPU time: 11.622880 seconds
% 11.50/1.85 % Total memory used: 254.964 MB
% 11.50/1.85 % Net memory used: 234.693 MB
%------------------------------------------------------------------------------