TSTP Solution File: LCL016-1 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : LCL016-1 : 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 12:18:01 EDT 2023
% Result : Unsatisfiable 104.04s 13.49s
% Output : CNFRefutation 105.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 36
% Number of leaves : 3
% Syntax : Number of formulae : 64 ( 37 unt; 0 def)
% Number of atoms : 95 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 64 ( 33 ~; 31 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 5 avg)
% Maximal term depth : 9 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-1 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 210 (; 210 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X,Y] :
( ~ is_a_theorem(equivalent(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(equivalent(equivalent(X,Y),equivalent(Z,equivalent(equivalent(Z,Y),X)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,negated_conjecture,
~ is_a_theorem(equivalent(equivalent(a,b),equivalent(c,equivalent(equivalent(b,c),a)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,plain,
! [Y] :
( ! [X] :
( ~ is_a_theorem(equivalent(X,Y))
| ~ is_a_theorem(X) )
| is_a_theorem(Y) ),
inference(miniscoping,[status(esa)],[f1]) ).
fof(f5,plain,
! [X0,X1] :
( ~ is_a_theorem(equivalent(X0,X1))
| ~ is_a_theorem(X0)
| is_a_theorem(X1) ),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f6,plain,
! [X0,X1,X2] : is_a_theorem(equivalent(equivalent(X0,X1),equivalent(X2,equivalent(equivalent(X2,X1),X0)))),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f7,plain,
~ is_a_theorem(equivalent(equivalent(a,b),equivalent(c,equivalent(equivalent(b,c),a)))),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f8,plain,
! [X0,X1,X2] :
( ~ is_a_theorem(equivalent(X0,X1))
| is_a_theorem(equivalent(X2,equivalent(equivalent(X2,X1),X0))) ),
inference(resolution,[status(thm)],[f6,f5]) ).
fof(f9,plain,
! [X0,X1,X2,X3] : is_a_theorem(equivalent(X0,equivalent(equivalent(X0,equivalent(X1,equivalent(equivalent(X1,X2),X3))),equivalent(X3,X2)))),
inference(resolution,[status(thm)],[f8,f6]) ).
fof(f10,plain,
! [X0,X1,X2,X3,X4] : is_a_theorem(equivalent(X0,equivalent(equivalent(X0,equivalent(equivalent(X1,equivalent(X2,equivalent(equivalent(X2,X3),X4))),equivalent(X4,X3))),X1))),
inference(resolution,[status(thm)],[f9,f8]) ).
fof(f11,plain,
! [X0,X1,X2,X3] :
( ~ is_a_theorem(X0)
| is_a_theorem(equivalent(equivalent(X0,equivalent(X1,equivalent(equivalent(X1,X2),X3))),equivalent(X3,X2))) ),
inference(resolution,[status(thm)],[f9,f5]) ).
fof(f13,plain,
! [X0,X1,X2,X3,X4] :
( ~ is_a_theorem(X0)
| is_a_theorem(equivalent(equivalent(X0,equivalent(equivalent(X1,equivalent(X2,equivalent(equivalent(X2,X3),X4))),equivalent(X4,X3))),X1)) ),
inference(resolution,[status(thm)],[f10,f5]) ).
fof(f14,plain,
! [X0,X1,X2,X3,X4,X5] : is_a_theorem(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X2,equivalent(equivalent(X2,X1),X0))),equivalent(X3,equivalent(equivalent(X3,X4),X5))),equivalent(X5,X4))),
inference(resolution,[status(thm)],[f11,f6]) ).
fof(f18,plain,
! [X0,X1,X2,X3,X4] :
( ~ is_a_theorem(X0)
| ~ is_a_theorem(equivalent(X0,equivalent(equivalent(X1,equivalent(X2,equivalent(equivalent(X2,X3),X4))),equivalent(X4,X3))))
| is_a_theorem(X1) ),
inference(resolution,[status(thm)],[f13,f5]) ).
fof(f29,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ is_a_theorem(equivalent(equivalent(equivalent(X0,X1),equivalent(X2,equivalent(equivalent(X2,X1),X0))),equivalent(X3,equivalent(equivalent(X3,X4),X5))))
| is_a_theorem(equivalent(X5,X4)) ),
inference(resolution,[status(thm)],[f14,f5]) ).
fof(f30,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
( ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X2,equivalent(equivalent(X2,X1),X0))),equivalent(X3,equivalent(equivalent(X3,X4),X5))),equivalent(X5,X4)),equivalent(equivalent(X6,equivalent(X7,equivalent(equivalent(X7,X8),X9))),equivalent(X9,X8))))
| is_a_theorem(X6) ),
inference(resolution,[status(thm)],[f14,f18]) ).
fof(f44,plain,
! [X0,X1,X2] : is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),X2),X1),X0),X2)),
inference(resolution,[status(thm)],[f29,f14]) ).
fof(f46,plain,
! [X0,X1,X2,X3] : is_a_theorem(equivalent(X0,equivalent(equivalent(X0,X1),equivalent(equivalent(equivalent(equivalent(X2,X3),X1),X3),X2)))),
inference(resolution,[status(thm)],[f44,f8]) ).
fof(f47,plain,
! [X0,X1,X2] :
( ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(X0,X1),X2),X1),X0))
| is_a_theorem(X2) ),
inference(resolution,[status(thm)],[f44,f5]) ).
fof(f71,plain,
! [X0,X1,X2,X3,X4] : is_a_theorem(equivalent(X0,equivalent(equivalent(X0,equivalent(equivalent(X1,X2),equivalent(equivalent(equivalent(equivalent(X3,X4),X2),X4),X3))),X1))),
inference(resolution,[status(thm)],[f46,f8]) ).
fof(f72,plain,
! [X0,X1,X2,X3] :
( ~ is_a_theorem(X0)
| is_a_theorem(equivalent(equivalent(X0,X1),equivalent(equivalent(equivalent(equivalent(X2,X3),X1),X3),X2))) ),
inference(resolution,[status(thm)],[f46,f5]) ).
fof(f77,plain,
! [X0,X1,X2,X3,X4,X5] : is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),X2),X1),X0),X2),X3),equivalent(equivalent(equivalent(equivalent(X4,X5),X3),X5),X4))),
inference(resolution,[status(thm)],[f72,f44]) ).
fof(f121,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),X2),X1),X0),X2),X3))
| is_a_theorem(equivalent(equivalent(equivalent(equivalent(X4,X5),X3),X5),X4)) ),
inference(resolution,[status(thm)],[f77,f5]) ).
fof(f150,plain,
! [X0,X1,X2,X3] :
( ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),X2),X1),X0),X2),X3))
| is_a_theorem(X3) ),
inference(resolution,[status(thm)],[f121,f47]) ).
fof(f159,plain,
! [X0,X1,X2,X3,X4] :
( is_a_theorem(equivalent(equivalent(X0,X1),X1))
| ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X2,X3),X4),X3),X2),X4),X0)) ),
inference(resolution,[status(thm)],[f150,f121]) ).
fof(f170,plain,
! [X0,X1,X2,X3,X4] :
( ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),X2),X1),X0),X2),equivalent(equivalent(X3,X3),X4)))
| is_a_theorem(X4) ),
inference(resolution,[status(thm)],[f159,f47]) ).
fof(f183,plain,
! [X0,X1,X2,X3] : is_a_theorem(equivalent(equivalent(equivalent(X0,X0),X1),equivalent(equivalent(equivalent(equivalent(X2,X3),X1),X3),X2))),
inference(resolution,[status(thm)],[f170,f6]) ).
fof(f187,plain,
! [X0,X1,X2,X3] : is_a_theorem(equivalent(equivalent(equivalent(equivalent(X0,equivalent(equivalent(X0,X1),X2)),X3),equivalent(X2,X1)),X3)),
inference(resolution,[status(thm)],[f170,f10]) ).
fof(f188,plain,
! [X0,X1,X2,X3] : is_a_theorem(equivalent(equivalent(equivalent(X0,X1),equivalent(equivalent(equivalent(equivalent(X2,X3),X0),X3),X2)),X1)),
inference(resolution,[status(thm)],[f170,f71]) ).
fof(f252,plain,
! [X0,X1,X2,X3] :
( ~ is_a_theorem(equivalent(equivalent(X0,X1),equivalent(equivalent(equivalent(equivalent(X2,X3),X0),X3),X2)))
| is_a_theorem(X1) ),
inference(resolution,[status(thm)],[f188,f5]) ).
fof(f291,plain,
! [X0] : is_a_theorem(equivalent(X0,X0)),
inference(resolution,[status(thm)],[f252,f183]) ).
fof(f321,plain,
! [X0,X1] : is_a_theorem(equivalent(X0,equivalent(equivalent(X0,X1),X1))),
inference(resolution,[status(thm)],[f291,f8]) ).
fof(f334,plain,
! [X0,X1,X2] : is_a_theorem(equivalent(X0,equivalent(equivalent(X0,equivalent(equivalent(X1,X2),X2)),X1))),
inference(resolution,[status(thm)],[f321,f8]) ).
fof(f335,plain,
! [X0,X1] :
( ~ is_a_theorem(X0)
| is_a_theorem(equivalent(equivalent(X0,X1),X1)) ),
inference(resolution,[status(thm)],[f321,f5]) ).
fof(f367,plain,
! [X0,X1] : is_a_theorem(equivalent(equivalent(equivalent(X0,X0),X1),X1)),
inference(resolution,[status(thm)],[f335,f291]) ).
fof(f374,plain,
! [X0,X1] :
( ~ is_a_theorem(equivalent(equivalent(X0,X0),X1))
| is_a_theorem(X1) ),
inference(resolution,[status(thm)],[f367,f5]) ).
fof(f417,plain,
! [X0,X1] : is_a_theorem(equivalent(equivalent(equivalent(X0,X1),X0),X1)),
inference(resolution,[status(thm)],[f334,f170]) ).
fof(f421,plain,
! [X0,X1,X2] : is_a_theorem(equivalent(equivalent(equivalent(X0,X0),equivalent(equivalent(X1,X2),X2)),X1)),
inference(resolution,[status(thm)],[f334,f374]) ).
fof(f433,plain,
! [X0,X1,X2] : is_a_theorem(equivalent(X0,equivalent(equivalent(X0,X1),equivalent(equivalent(X2,X1),X2)))),
inference(resolution,[status(thm)],[f417,f8]) ).
fof(f435,plain,
! [X0,X1,X2] : is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),X0),X1),X2),X2)),
inference(resolution,[status(thm)],[f417,f335]) ).
fof(f629,plain,
! [X0,X1,X2] : is_a_theorem(equivalent(equivalent(equivalent(X0,X0),X1),equivalent(equivalent(X2,X1),X2))),
inference(resolution,[status(thm)],[f433,f374]) ).
fof(f650,plain,
! [X0,X1,X2] :
( ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(X0,X1),X0),X1),X2))
| is_a_theorem(X2) ),
inference(resolution,[status(thm)],[f435,f5]) ).
fof(f944,plain,
! [X0,X1,X2] :
( ~ is_a_theorem(equivalent(equivalent(X0,X0),X1))
| is_a_theorem(equivalent(equivalent(X2,X1),X2)) ),
inference(resolution,[status(thm)],[f629,f5]) ).
fof(f1579,plain,
! [X0,X1,X2] : is_a_theorem(equivalent(equivalent(X0,equivalent(equivalent(equivalent(X1,X2),X1),X2)),X0)),
inference(resolution,[status(thm)],[f944,f435]) ).
fof(f2946,plain,
! [X0,X1,X2] : is_a_theorem(equivalent(equivalent(X0,equivalent(equivalent(X0,X1),X2)),equivalent(X2,X1))),
inference(resolution,[status(thm)],[f30,f421]) ).
fof(f3135,plain,
! [X0,X1,X2] :
( ~ is_a_theorem(equivalent(X0,equivalent(equivalent(equivalent(X1,X2),X1),X2)))
| is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f1579,f5]) ).
fof(f5028,plain,
! [X0,X1,X2] : is_a_theorem(equivalent(equivalent(X0,X1),equivalent(equivalent(equivalent(X1,X2),X0),X2))),
inference(resolution,[status(thm)],[f2946,f252]) ).
fof(f5480,plain,
! [X0,X1] : is_a_theorem(equivalent(X0,equivalent(equivalent(X1,X0),X1))),
inference(resolution,[status(thm)],[f3135,f433]) ).
fof(f5510,plain,
! [X0,X1,X2] : is_a_theorem(equivalent(X0,equivalent(equivalent(X0,equivalent(equivalent(X1,X2),X1)),X2))),
inference(resolution,[status(thm)],[f5480,f8]) ).
fof(f8445,plain,
! [X0,X1,X2] : is_a_theorem(equivalent(equivalent(equivalent(X0,X1),equivalent(equivalent(X2,X0),X2)),X1)),
inference(resolution,[status(thm)],[f5028,f650]) ).
fof(f8471,plain,
! [X0,X1,X2] :
( ~ is_a_theorem(equivalent(X0,X1))
| is_a_theorem(equivalent(equivalent(equivalent(X1,X2),X0),X2)) ),
inference(resolution,[status(thm)],[f5028,f5]) ).
fof(f9647,plain,
! [X0,X1,X2] :
( ~ is_a_theorem(equivalent(equivalent(X0,X1),equivalent(equivalent(X2,X0),X2)))
| is_a_theorem(X1) ),
inference(resolution,[status(thm)],[f8445,f5]) ).
fof(f16974,plain,
! [X0,X1] : is_a_theorem(equivalent(equivalent(X0,X1),equivalent(X1,X0))),
inference(resolution,[status(thm)],[f9647,f2946]) ).
fof(f17055,plain,
! [X0,X1,X2] : is_a_theorem(equivalent(equivalent(equivalent(equivalent(X0,X1),X2),equivalent(X1,X0)),X2)),
inference(resolution,[status(thm)],[f16974,f8471]) ).
fof(f17057,plain,
! [X0,X1] :
( ~ is_a_theorem(equivalent(X0,X1))
| is_a_theorem(equivalent(X1,X0)) ),
inference(resolution,[status(thm)],[f16974,f5]) ).
fof(f17246,plain,
! [X0,X1,X2] : is_a_theorem(equivalent(equivalent(equivalent(equivalent(X0,X1),X2),X1),equivalent(X2,X0))),
inference(resolution,[status(thm)],[f17057,f5028]) ).
fof(f17280,plain,
! [X0,X1,X2] : is_a_theorem(equivalent(equivalent(equivalent(X0,equivalent(equivalent(X1,X2),X1)),X2),X0)),
inference(resolution,[status(thm)],[f17057,f5510]) ).
fof(f18572,plain,
! [X0,X1,X2] :
( ~ is_a_theorem(equivalent(equivalent(equivalent(X0,X1),X2),equivalent(X1,X0)))
| is_a_theorem(X2) ),
inference(resolution,[status(thm)],[f17055,f5]) ).
fof(f23655,plain,
! [X0,X1,X2] :
( ~ is_a_theorem(equivalent(equivalent(X0,equivalent(equivalent(X1,X2),X1)),X2))
| is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f17280,f5]) ).
fof(f41227,plain,
! [X0,X1,X2] : is_a_theorem(equivalent(equivalent(X0,equivalent(equivalent(X0,X1),equivalent(X1,X2))),X2)),
inference(resolution,[status(thm)],[f23655,f187]) ).
fof(f49025,plain,
! [X0,X1,X2] : is_a_theorem(equivalent(equivalent(equivalent(X0,X1),X2),equivalent(X2,equivalent(X1,X0)))),
inference(resolution,[status(thm)],[f41227,f18572]) ).
fof(f60766,plain,
! [X0,X1,X2] :
( ~ is_a_theorem(equivalent(equivalent(X0,X1),X2))
| is_a_theorem(equivalent(X2,equivalent(X1,X0))) ),
inference(resolution,[status(thm)],[f49025,f5]) ).
fof(f72433,plain,
! [X0,X1,X2] : is_a_theorem(equivalent(equivalent(X0,X1),equivalent(X2,equivalent(equivalent(X1,X2),X0)))),
inference(resolution,[status(thm)],[f60766,f17246]) ).
fof(f103719,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[f7,f72433]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : LCL016-1 : TPTP v8.1.2. Released v1.0.0.
% 0.07/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.12/0.34 % Computer : n002.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Tue May 30 10:02:43 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.12/0.35 % Drodi V3.5.1
% 104.04/13.49 % Refutation found
% 104.04/13.49 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 104.04/13.49 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 105.24/13.62 % Elapsed time: 13.264098 seconds
% 105.24/13.62 % CPU time: 105.334979 seconds
% 105.24/13.62 % Memory used: 918.743 MB
%------------------------------------------------------------------------------