TSTP Solution File: LCL099-1 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : LCL099-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n001.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 12:18:15 EDT 2023
% Result : Unsatisfiable 4.05s 0.99s
% Output : CNFRefutation 4.05s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 4
% Syntax : Number of formulae : 55 ( 29 unt; 0 def)
% Number of atoms : 89 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 81 ( 47 ~; 34 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-1 aty)
% Number of functors : 6 ( 6 usr; 5 con; 0-2 aty)
% Number of variables : 154 (; 154 !; 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,U] : is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X,Y),equivalent(X,Z)),equivalent(Y,Z)),U),U)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [X,Y,Z,U,V] : is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X,Y),equivalent(X,Z)),U),equivalent(equivalent(Y,Z),U)),V),V)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,negated_conjecture,
~ is_a_theorem(equivalent(equivalent(equivalent(a,equivalent(equivalent(b,a),c)),equivalent(equivalent(e,a),falsehood)),equivalent(equivalent(equivalent(equivalent(a,b),e),c),falsehood))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5,plain,
! [Y] :
( ! [X] :
( ~ is_a_theorem(equivalent(X,Y))
| ~ is_a_theorem(X) )
| is_a_theorem(Y) ),
inference(miniscoping,[status(esa)],[f1]) ).
fof(f6,plain,
! [X0,X1] :
( ~ is_a_theorem(equivalent(X0,X1))
| ~ is_a_theorem(X0)
| is_a_theorem(X1) ),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f7,plain,
! [X0,X1,X2,X3] : is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),equivalent(X1,X2)),X3),X3)),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f8,plain,
! [X0,X1,X2,X3,X4] : is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X3),equivalent(equivalent(X1,X2),X3)),X4),X4)),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f9,plain,
~ is_a_theorem(equivalent(equivalent(equivalent(a,equivalent(equivalent(b,a),c)),equivalent(equivalent(e,a),falsehood)),equivalent(equivalent(equivalent(equivalent(a,b),e),c),falsehood))),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f10,plain,
! [X0,X1,X2,X3] :
( ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),equivalent(X1,X2)),X3))
| is_a_theorem(X3) ),
inference(resolution,[status(thm)],[f7,f6]) ).
fof(f11,plain,
! [X0,X1,X2,X3,X4] :
( ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X3),equivalent(equivalent(X1,X2),X3)),X4))
| is_a_theorem(X4) ),
inference(resolution,[status(thm)],[f8,f6]) ).
fof(f12,plain,
! [X0,X1,X2,X3] : is_a_theorem(equivalent(equivalent(equivalent(X0,X1),X2),equivalent(equivalent(X3,X1),equivalent(equivalent(X0,X3),X2)))),
inference(resolution,[status(thm)],[f11,f8]) ).
fof(f13,plain,
! [X0,X1] : is_a_theorem(equivalent(equivalent(X0,X1),equivalent(X0,X1))),
inference(resolution,[status(thm)],[f11,f7]) ).
fof(f14,plain,
! [X0,X1,X2,X3] : is_a_theorem(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X3),equivalent(equivalent(X1,X2),X3))),
inference(resolution,[status(thm)],[f13,f11]) ).
fof(f15,plain,
! [X0,X1,X2] : is_a_theorem(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),equivalent(X1,X2))),
inference(resolution,[status(thm)],[f13,f10]) ).
fof(f16,plain,
! [X0,X1,X2] :
( ~ is_a_theorem(equivalent(equivalent(X0,X1),equivalent(X0,X2)))
| is_a_theorem(equivalent(X1,X2)) ),
inference(resolution,[status(thm)],[f15,f6]) ).
fof(f19,plain,
! [X0] : is_a_theorem(equivalent(X0,X0)),
inference(resolution,[status(thm)],[f16,f13]) ).
fof(f23,plain,
! [X0,X1,X2,X3,X4] : is_a_theorem(equivalent(equivalent(X0,X1),equivalent(equivalent(equivalent(equivalent(X2,X3),equivalent(X2,X4)),X0),equivalent(equivalent(X3,X4),X1)))),
inference(resolution,[status(thm)],[f12,f11]) ).
fof(f24,plain,
! [X0,X1,X2,X3] : is_a_theorem(equivalent(equivalent(X0,equivalent(X1,X2)),equivalent(equivalent(equivalent(X1,X3),X0),equivalent(X3,X2)))),
inference(resolution,[status(thm)],[f12,f10]) ).
fof(f25,plain,
! [X0,X1] : is_a_theorem(equivalent(X0,equivalent(equivalent(X1,X1),X0))),
inference(resolution,[status(thm)],[f12,f16]) ).
fof(f26,plain,
! [X0,X1,X2,X3] :
( ~ is_a_theorem(equivalent(equivalent(X0,X1),X2))
| is_a_theorem(equivalent(equivalent(X3,X1),equivalent(equivalent(X0,X3),X2))) ),
inference(resolution,[status(thm)],[f12,f6]) ).
fof(f41,plain,
! [X0,X1,X2,X3] :
( ~ is_a_theorem(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X3))
| is_a_theorem(equivalent(equivalent(X1,X2),X3)) ),
inference(resolution,[status(thm)],[f14,f6]) ).
fof(f43,plain,
! [X0,X1,X2,X3] : is_a_theorem(equivalent(equivalent(equivalent(X0,X1),equivalent(equivalent(X2,X0),equivalent(X2,X3))),equivalent(X1,X3))),
inference(resolution,[status(thm)],[f24,f10]) ).
fof(f44,plain,
! [X0,X1,X2,X3] :
( ~ is_a_theorem(equivalent(X0,equivalent(X1,X2)))
| is_a_theorem(equivalent(equivalent(equivalent(X1,X3),X0),equivalent(X3,X2))) ),
inference(resolution,[status(thm)],[f24,f6]) ).
fof(f47,plain,
! [X0,X1,X2,X3,X4] :
( ~ is_a_theorem(equivalent(X0,X1))
| is_a_theorem(equivalent(equivalent(equivalent(equivalent(X2,X3),equivalent(X2,X4)),X0),equivalent(equivalent(X3,X4),X1))) ),
inference(resolution,[status(thm)],[f23,f6]) ).
fof(f50,plain,
! [X0,X1,X2,X3] :
( ~ is_a_theorem(equivalent(equivalent(X0,X1),X2))
| ~ is_a_theorem(equivalent(X3,X1))
| is_a_theorem(equivalent(equivalent(X0,X3),X2)) ),
inference(resolution,[status(thm)],[f26,f6]) ).
fof(f60,plain,
! [X0,X1,X2,X3] : is_a_theorem(equivalent(equivalent(equivalent(X0,X1),X2),equivalent(equivalent(equivalent(X3,X0),equivalent(X3,X1)),X2))),
inference(resolution,[status(thm)],[f41,f7]) ).
fof(f69,plain,
! [X0,X1,X2,X3] : is_a_theorem(equivalent(equivalent(X0,X1),equivalent(equivalent(X2,X2),equivalent(equivalent(X3,X0),equivalent(X3,X1))))),
inference(resolution,[status(thm)],[f41,f25]) ).
fof(f70,plain,
! [X0,X1,X2] : is_a_theorem(equivalent(equivalent(X0,X1),equivalent(equivalent(X2,X0),equivalent(X2,X1)))),
inference(resolution,[status(thm)],[f41,f19]) ).
fof(f74,plain,
! [X0,X1,X2] :
( ~ is_a_theorem(equivalent(X0,X1))
| is_a_theorem(equivalent(equivalent(X2,X0),equivalent(X2,X1))) ),
inference(resolution,[status(thm)],[f70,f6]) ).
fof(f76,plain,
! [X0,X1,X2,X3] :
( ~ is_a_theorem(equivalent(equivalent(X0,X1),X2))
| is_a_theorem(equivalent(equivalent(equivalent(X3,X0),equivalent(X3,X1)),X2)) ),
inference(resolution,[status(thm)],[f74,f10]) ).
fof(f78,plain,
! [X0,X1,X2] :
( ~ is_a_theorem(equivalent(X0,X1))
| ~ is_a_theorem(equivalent(X2,X0))
| is_a_theorem(equivalent(X2,X1)) ),
inference(resolution,[status(thm)],[f74,f6]) ).
fof(f81,plain,
! [X0] :
( ~ is_a_theorem(equivalent(X0,equivalent(equivalent(equivalent(equivalent(a,b),e),c),falsehood)))
| ~ is_a_theorem(equivalent(equivalent(equivalent(a,equivalent(equivalent(b,a),c)),equivalent(equivalent(e,a),falsehood)),X0)) ),
inference(resolution,[status(thm)],[f78,f9]) ).
fof(f84,plain,
! [X0,X1,X2] :
( ~ is_a_theorem(equivalent(X0,X1))
| ~ is_a_theorem(equivalent(X2,X0))
| ~ is_a_theorem(X2)
| is_a_theorem(X1) ),
inference(resolution,[status(thm)],[f78,f6]) ).
fof(f88,plain,
! [X0,X1,X2,X3] :
( ~ is_a_theorem(equivalent(equivalent(X0,X1),X2))
| ~ is_a_theorem(equivalent(equivalent(X3,X0),equivalent(X3,X1)))
| is_a_theorem(X2) ),
inference(resolution,[status(thm)],[f84,f15]) ).
fof(f242,plain,
! [X0,X1,X2,X3] :
( ~ is_a_theorem(equivalent(equivalent(X0,X1),equivalent(equivalent(X2,X0),equivalent(X2,X3))))
| is_a_theorem(equivalent(X1,X3)) ),
inference(resolution,[status(thm)],[f43,f6]) ).
fof(f244,plain,
! [X0,X1,X2,X3] :
( ~ is_a_theorem(equivalent(equivalent(X0,X1),equivalent(equivalent(X2,X0),X3)))
| is_a_theorem(equivalent(equivalent(X2,X1),X3)) ),
inference(resolution,[status(thm)],[f44,f10]) ).
fof(f484,plain,
! [X0] : ~ is_a_theorem(equivalent(equivalent(equivalent(X0,equivalent(equivalent(b,a),c)),equivalent(equivalent(a,X0),equivalent(equivalent(e,a),falsehood))),equivalent(equivalent(equivalent(equivalent(a,b),e),c),falsehood))),
inference(resolution,[status(thm)],[f81,f12]) ).
fof(f595,plain,
! [X0,X1,X2] : is_a_theorem(equivalent(X0,equivalent(equivalent(X1,equivalent(X2,X2)),equivalent(X1,X0)))),
inference(resolution,[status(thm)],[f69,f16]) ).
fof(f607,plain,
! [X0,X1,X2] : is_a_theorem(equivalent(X0,equivalent(X1,equivalent(equivalent(X1,equivalent(X2,X2)),X0)))),
inference(resolution,[status(thm)],[f595,f16]) ).
fof(f703,plain,
! [X0,X1,X2] :
( ~ is_a_theorem(equivalent(equivalent(X0,equivalent(equivalent(X1,X1),X0)),X2))
| is_a_theorem(X2) ),
inference(resolution,[status(thm)],[f88,f12]) ).
fof(f803,plain,
! [X0,X1,X2] :
( is_a_theorem(equivalent(X0,X1))
| ~ is_a_theorem(equivalent(equivalent(equivalent(X2,X2),X0),X1)) ),
inference(resolution,[status(thm)],[f703,f74]) ).
fof(f938,plain,
~ is_a_theorem(equivalent(equivalent(equivalent(a,equivalent(equivalent(b,a),equivalent(equivalent(a,b),e))),equivalent(equivalent(e,a),falsehood)),falsehood)),
inference(resolution,[status(thm)],[f47,f484]) ).
fof(f1403,plain,
! [X0] :
( ~ is_a_theorem(equivalent(equivalent(equivalent(a,equivalent(equivalent(b,a),equivalent(equivalent(a,b),e))),X0),falsehood))
| ~ is_a_theorem(equivalent(equivalent(equivalent(e,a),falsehood),X0)) ),
inference(resolution,[status(thm)],[f938,f50]) ).
fof(f1429,plain,
! [X0] :
( ~ is_a_theorem(equivalent(equivalent(equivalent(e,a),falsehood),equivalent(a,X0)))
| ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(b,a),equivalent(equivalent(a,b),e)),X0),falsehood)) ),
inference(resolution,[status(thm)],[f1403,f76]) ).
fof(f1495,plain,
! [X0] :
( ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(b,a),equivalent(equivalent(a,b),e)),X0),falsehood))
| ~ is_a_theorem(equivalent(falsehood,equivalent(e,X0))) ),
inference(resolution,[status(thm)],[f1429,f44]) ).
fof(f1540,plain,
! [X0,X1,X2] : is_a_theorem(equivalent(X0,equivalent(equivalent(X1,X2),equivalent(equivalent(X2,X1),X0)))),
inference(resolution,[status(thm)],[f803,f12]) ).
fof(f2003,plain,
! [X0,X1] : is_a_theorem(equivalent(equivalent(equivalent(X0,X0),X1),X1)),
inference(resolution,[status(thm)],[f242,f60]) ).
fof(f2577,plain,
! [X0] : ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(b,a),equivalent(equivalent(a,b),e)),equivalent(equivalent(e,equivalent(X0,X0)),falsehood)),falsehood)),
inference(resolution,[status(thm)],[f1495,f607]) ).
fof(f2590,plain,
! [X0,X1] :
( ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(b,a),equivalent(equivalent(a,b),e)),X0),falsehood))
| ~ is_a_theorem(equivalent(equivalent(equivalent(e,equivalent(X1,X1)),falsehood),X0)) ),
inference(resolution,[status(thm)],[f2577,f50]) ).
fof(f2636,plain,
! [X0,X1] :
( ~ is_a_theorem(equivalent(equivalent(equivalent(e,equivalent(X0,X0)),falsehood),equivalent(equivalent(b,a),X1)))
| ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(a,b),e),X1),falsehood)) ),
inference(resolution,[status(thm)],[f2590,f76]) ).
fof(f2869,plain,
! [X0,X1,X2] : is_a_theorem(equivalent(equivalent(X0,equivalent(equivalent(X0,equivalent(X1,X1)),X2)),X2)),
inference(resolution,[status(thm)],[f244,f2003]) ).
fof(f4001,plain,
! [X0] : ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(a,b),e),equivalent(equivalent(a,b),equivalent(equivalent(e,equivalent(X0,X0)),falsehood))),falsehood)),
inference(resolution,[status(thm)],[f2636,f1540]) ).
fof(f4009,plain,
! [X0] : ~ is_a_theorem(equivalent(equivalent(e,equivalent(equivalent(e,equivalent(X0,X0)),falsehood)),falsehood)),
inference(resolution,[status(thm)],[f4001,f76]) ).
fof(f4010,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f4009,f2869]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : LCL099-1 : TPTP v8.1.2. Released v1.0.0.
% 0.06/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.14/0.34 % Computer : n001.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Tue May 30 10:09:45 EDT 2023
% 0.14/0.34 % CPUTime :
% 0.14/0.35 % Drodi V3.5.1
% 4.05/0.99 % Refutation found
% 4.05/0.99 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 4.05/0.99 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 4.05/1.02 % Elapsed time: 0.673979 seconds
% 4.05/1.02 % CPU time: 4.604372 seconds
% 4.05/1.02 % Memory used: 76.284 MB
%------------------------------------------------------------------------------