TSTP Solution File: LCL127-1 by Drodi---3.5.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : LCL127-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n032.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 12:18:21 EDT 2023
% Result : Unsatisfiable 239.87s 30.60s
% Output : CNFRefutation 240.93s
% Verified :
% SZS Type : Refutation
% Derivation depth : 36
% Number of leaves : 3
% Syntax : Number of formulae : 81 ( 31 unt; 0 def)
% Number of atoms : 147 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 149 ( 83 ~; 66 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 7 avg)
% Maximal term depth : 10 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-1 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 372 (; 372 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X,Y] :
( ~ is_a_theorem(equivalent(X,Y))
| ~ is_a_theorem(X)
| is_a_theorem(Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [X,Y,Z,U] : is_a_theorem(equivalent(equivalent(X,equivalent(Y,Z)),equivalent(X,equivalent(equivalent(Y,U),equivalent(Z,U))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,negated_conjecture,
~ is_a_theorem(equivalent(a,equivalent(a,equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e)))))),
file('/export/starexec/sandbox/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,X3] : is_a_theorem(equivalent(equivalent(X0,equivalent(X1,X2)),equivalent(X0,equivalent(equivalent(X1,X3),equivalent(X2,X3))))),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f7,plain,
~ is_a_theorem(equivalent(a,equivalent(a,equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e)))))),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f8,plain,
! [X0,X1,X2,X3] :
( ~ is_a_theorem(equivalent(X0,equivalent(X1,X2)))
| is_a_theorem(equivalent(X0,equivalent(equivalent(X1,X3),equivalent(X2,X3)))) ),
inference(resolution,[status(thm)],[f6,f5]) ).
fof(f9,plain,
! [X0,X1,X2,X3,X4] : is_a_theorem(equivalent(equivalent(X0,equivalent(X1,X2)),equivalent(equivalent(X0,X3),equivalent(equivalent(equivalent(X1,X4),equivalent(X2,X4)),X3)))),
inference(resolution,[status(thm)],[f8,f6]) ).
fof(f10,plain,
! [X0,X1,X2,X3,X4,X5] : is_a_theorem(equivalent(equivalent(X0,equivalent(X1,X2)),equivalent(equivalent(equivalent(X0,X3),X4),equivalent(equivalent(equivalent(equivalent(X1,X5),equivalent(X2,X5)),X3),X4)))),
inference(resolution,[status(thm)],[f9,f8]) ).
fof(f11,plain,
! [X0,X1,X2,X3,X4] :
( ~ is_a_theorem(equivalent(X0,equivalent(X1,X2)))
| is_a_theorem(equivalent(equivalent(X0,X3),equivalent(equivalent(equivalent(X1,X4),equivalent(X2,X4)),X3))) ),
inference(resolution,[status(thm)],[f9,f5]) ).
fof(f13,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ is_a_theorem(equivalent(X0,equivalent(X1,X2)))
| is_a_theorem(equivalent(equivalent(equivalent(X0,X3),X4),equivalent(equivalent(equivalent(equivalent(X1,X5),equivalent(X2,X5)),X3),X4))) ),
inference(resolution,[status(thm)],[f10,f5]) ).
fof(f16,plain,
! [X0,X1,X2,X3,X4,X5] : is_a_theorem(equivalent(equivalent(equivalent(X0,equivalent(X1,X2)),X3),equivalent(equivalent(equivalent(X0,X4),equivalent(equivalent(equivalent(X1,X5),equivalent(X2,X5)),X4)),X3))),
inference(resolution,[status(thm)],[f11,f6]) ).
fof(f19,plain,
! [X0,X1,X2,X3,X4,X5,X6] : is_a_theorem(equivalent(equivalent(equivalent(equivalent(X0,equivalent(X1,X2)),X3),X4),equivalent(equivalent(equivalent(equivalent(X0,X5),equivalent(equivalent(equivalent(X1,X6),equivalent(X2,X6)),X5)),X3),X4))),
inference(resolution,[status(thm)],[f13,f6]) ).
fof(f21,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] : is_a_theorem(equivalent(equivalent(equivalent(equivalent(X0,equivalent(X1,X2)),X3),X4),equivalent(equivalent(equivalent(equivalent(equivalent(X0,X5),equivalent(equivalent(equivalent(X1,X6),equivalent(X2,X6)),X5)),X7),equivalent(X3,X7)),X4))),
inference(resolution,[status(thm)],[f16,f11]) ).
fof(f23,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ is_a_theorem(equivalent(equivalent(X0,equivalent(X1,X2)),X3))
| is_a_theorem(equivalent(equivalent(equivalent(X0,X4),equivalent(equivalent(equivalent(X1,X5),equivalent(X2,X5)),X4)),X3)) ),
inference(resolution,[status(thm)],[f16,f5]) ).
fof(f26,plain,
! [X0,X1,X2,X3,X4,X5,X6] : is_a_theorem(equivalent(equivalent(equivalent(X0,X1),equivalent(equivalent(equivalent(X2,X3),equivalent(X4,X3)),X1)),equivalent(equivalent(X0,X5),equivalent(equivalent(equivalent(X2,X6),equivalent(X4,X6)),X5)))),
inference(resolution,[status(thm)],[f23,f9]) ).
fof(f27,plain,
! [X0,X1,X2,X3,X4,X5] : is_a_theorem(equivalent(equivalent(equivalent(X0,X1),equivalent(equivalent(equivalent(X2,X3),equivalent(X4,X3)),X1)),equivalent(X0,equivalent(equivalent(X2,X5),equivalent(X4,X5))))),
inference(resolution,[status(thm)],[f23,f6]) ).
fof(f32,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ is_a_theorem(equivalent(equivalent(X0,X1),equivalent(equivalent(equivalent(X2,X3),equivalent(X4,X3)),X1)))
| is_a_theorem(equivalent(X0,equivalent(equivalent(X2,X5),equivalent(X4,X5)))) ),
inference(resolution,[status(thm)],[f27,f5]) ).
fof(f36,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ is_a_theorem(equivalent(equivalent(X0,X1),equivalent(equivalent(equivalent(X2,X3),equivalent(X4,X3)),X1)))
| is_a_theorem(equivalent(X0,equivalent(equivalent(equivalent(X2,X5),X6),equivalent(equivalent(X4,X5),X6)))) ),
inference(resolution,[status(thm)],[f32,f8]) ).
fof(f37,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ is_a_theorem(equivalent(equivalent(X0,X1),equivalent(equivalent(equivalent(X2,X3),equivalent(X4,X3)),X1)))
| ~ is_a_theorem(X0)
| is_a_theorem(equivalent(equivalent(X2,X5),equivalent(X4,X5))) ),
inference(resolution,[status(thm)],[f32,f5]) ).
fof(f42,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
( ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(X0,equivalent(X1,X2)),equivalent(X0,equivalent(equivalent(X1,X3),equivalent(X2,X3)))),X4),equivalent(equivalent(equivalent(X5,X6),equivalent(X7,X6)),X4)))
| is_a_theorem(equivalent(equivalent(X5,X8),equivalent(X7,X8))) ),
inference(resolution,[status(thm)],[f37,f6]) ).
fof(f48,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
( ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(X0,equivalent(X1,X2)),equivalent(X0,equivalent(equivalent(X1,X3),equivalent(X2,X3)))),X4),equivalent(equivalent(equivalent(X5,X6),equivalent(X7,X6)),X4)))
| ~ is_a_theorem(equivalent(X5,X8))
| is_a_theorem(equivalent(X7,X8)) ),
inference(resolution,[status(thm)],[f42,f5]) ).
fof(f51,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(X0,equivalent(X1,X2)),equivalent(X0,equivalent(equivalent(X1,X3),equivalent(X2,X3)))),X4),equivalent(equivalent(equivalent(X5,X6),equivalent(a,X6)),X4)))
| ~ is_a_theorem(equivalent(X5,equivalent(a,equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e)))))) ),
inference(resolution,[status(thm)],[f48,f7]) ).
fof(f91,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ is_a_theorem(equivalent(equivalent(equivalent(X0,equivalent(X1,X2)),X3),X4))
| is_a_theorem(equivalent(equivalent(equivalent(equivalent(X0,X5),equivalent(equivalent(equivalent(X1,X6),equivalent(X2,X6)),X5)),X3),X4)) ),
inference(resolution,[status(thm)],[f19,f5]) ).
fof(f111,plain,
! [X0,X1,X2,X3,X4] : is_a_theorem(equivalent(equivalent(equivalent(X0,X1),equivalent(X2,X1)),equivalent(equivalent(equivalent(X0,X3),X4),equivalent(equivalent(X2,X3),X4)))),
inference(resolution,[status(thm)],[f36,f26]) ).
fof(f118,plain,
! [X0,X1,X2,X3,X4,X5] : is_a_theorem(equivalent(equivalent(equivalent(X0,X1),equivalent(X2,X1)),equivalent(equivalent(equivalent(equivalent(X0,X3),X4),X5),equivalent(equivalent(equivalent(X2,X3),X4),X5)))),
inference(resolution,[status(thm)],[f111,f8]) ).
fof(f120,plain,
! [X0,X1,X2,X3,X4] :
( ~ is_a_theorem(equivalent(equivalent(X0,X1),equivalent(X2,X1)))
| is_a_theorem(equivalent(equivalent(equivalent(X0,X3),X4),equivalent(equivalent(X2,X3),X4))) ),
inference(resolution,[status(thm)],[f111,f5]) ).
fof(f126,plain,
! [X0,X1,X2,X3] : is_a_theorem(equivalent(equivalent(equivalent(equivalent(X0,X1),X2),X3),equivalent(equivalent(equivalent(X0,X1),X2),X3))),
inference(resolution,[status(thm)],[f120,f26]) ).
fof(f134,plain,
! [X0,X1,X2,X3,X4,X5] : is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),X2),X3),X4),equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),X2),X5),equivalent(X3,X5)),X4))),
inference(resolution,[status(thm)],[f126,f11]) ).
fof(f135,plain,
! [X0,X1,X2,X3,X4] : is_a_theorem(equivalent(equivalent(equivalent(equivalent(X0,X1),X2),X3),equivalent(equivalent(equivalent(equivalent(X0,X1),X2),X4),equivalent(X3,X4)))),
inference(resolution,[status(thm)],[f126,f8]) ).
fof(f143,plain,
! [X0,X1,X2,X3,X4] :
( ~ is_a_theorem(equivalent(equivalent(equivalent(X0,X1),X2),X3))
| is_a_theorem(equivalent(equivalent(equivalent(equivalent(X0,X1),X2),X4),equivalent(X3,X4))) ),
inference(resolution,[status(thm)],[f135,f5]) ).
fof(f158,plain,
! [X0,X1,X2,X3,X4,X5] : is_a_theorem(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X2,X3)),X4),equivalent(equivalent(equivalent(X0,X1),equivalent(equivalent(X2,X5),equivalent(X3,X5))),X4))),
inference(resolution,[status(thm)],[f143,f6]) ).
fof(f168,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ is_a_theorem(equivalent(equivalent(X0,X1),equivalent(X2,X1)))
| is_a_theorem(equivalent(equivalent(equivalent(equivalent(X0,X3),X4),X5),equivalent(equivalent(equivalent(X2,X3),X4),X5))) ),
inference(resolution,[status(thm)],[f118,f5]) ).
fof(f178,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(X0,X1),X2),X3),X4))
| is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),X2),X5),equivalent(X3,X5)),X4)) ),
inference(resolution,[status(thm)],[f134,f5]) ).
fof(f220,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13] :
( ~ is_a_theorem(equivalent(X0,equivalent(a,equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e))))))
| ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(X1,equivalent(X2,X3)),equivalent(X1,equivalent(equivalent(X2,X4),equivalent(X3,X4)))),X5),equivalent(equivalent(equivalent(X6,X7),equivalent(equivalent(equivalent(equivalent(X8,equivalent(X9,X10)),equivalent(X8,equivalent(equivalent(X9,X11),equivalent(X10,X11)))),X12),X7)),X5)))
| ~ is_a_theorem(equivalent(X6,equivalent(equivalent(equivalent(X0,X13),equivalent(a,X13)),X12))) ),
inference(resolution,[status(thm)],[f51,f48]) ).
fof(f244,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14] :
( ~ is_a_theorem(equivalent(equivalent(X0,X1),equivalent(a,equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e))))))
| ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(X2,equivalent(X3,X4)),equivalent(X2,equivalent(equivalent(X3,X5),equivalent(X4,X5)))),X6),equivalent(equivalent(equivalent(equivalent(equivalent(X0,X7),equivalent(X8,X7)),X9),equivalent(equivalent(equivalent(equivalent(X10,equivalent(X11,X12)),equivalent(X10,equivalent(equivalent(X11,X13),equivalent(X12,X13)))),equivalent(equivalent(equivalent(X8,X1),X14),equivalent(a,X14))),X9)),X6))) ),
inference(resolution,[status(thm)],[f220,f118]) ).
fof(f279,plain,
! [X0] : ~ is_a_theorem(equivalent(equivalent(a,equivalent(X0,X0)),equivalent(a,equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e)))))),
inference(resolution,[status(thm)],[f244,f16]) ).
fof(f438,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ is_a_theorem(equivalent(equivalent(X0,X1),equivalent(X2,X1)))
| ~ is_a_theorem(equivalent(equivalent(equivalent(X0,X3),X4),X5))
| is_a_theorem(equivalent(equivalent(equivalent(X2,X3),X4),X5)) ),
inference(resolution,[status(thm)],[f168,f5]) ).
fof(f489,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ is_a_theorem(equivalent(equivalent(X0,X1),equivalent(X2,X1)))
| ~ is_a_theorem(equivalent(equivalent(equivalent(X0,X3),X4),X5))
| ~ is_a_theorem(equivalent(equivalent(X2,X3),X4))
| is_a_theorem(X5) ),
inference(resolution,[status(thm)],[f438,f5]) ).
fof(f657,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ is_a_theorem(equivalent(equivalent(equivalent(X0,equivalent(X1,X2)),X3),X4))
| is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X5),equivalent(equivalent(equivalent(X1,X6),equivalent(X2,X6)),X5)),X7),equivalent(X3,X7)),X4)) ),
inference(resolution,[status(thm)],[f21,f5]) ).
fof(f724,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(X0,X1),X2),X3),X4))
| ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(X0,X1),X2),X5),equivalent(X3,X5)))
| is_a_theorem(X4) ),
inference(resolution,[status(thm)],[f178,f5]) ).
fof(f739,plain,
! [X0,X1,X2,X3,X4] :
( ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(X0,X1),X2),X3),equivalent(X4,X3)))
| is_a_theorem(equivalent(equivalent(equivalent(X0,X1),X2),X4)) ),
inference(resolution,[status(thm)],[f724,f126]) ).
fof(f757,plain,
! [X0,X1,X2,X3,X4,X5] :
( is_a_theorem(equivalent(equivalent(equivalent(equivalent(X0,X1),X2),X3),X4))
| ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(X0,X1),X2),X5),equivalent(X4,equivalent(X5,X3)))) ),
inference(resolution,[status(thm)],[f739,f178]) ).
fof(f767,plain,
! [X0,X1,X2] : is_a_theorem(equivalent(equivalent(equivalent(X0,X1),X2),equivalent(equivalent(X0,X1),X2))),
inference(resolution,[status(thm)],[f739,f126]) ).
fof(f787,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ is_a_theorem(equivalent(equivalent(X0,X1),equivalent(equivalent(X2,X3),X1)))
| ~ is_a_theorem(equivalent(equivalent(equivalent(X0,X4),equivalent(equivalent(X2,X3),X4)),X5))
| is_a_theorem(X5) ),
inference(resolution,[status(thm)],[f767,f489]) ).
fof(f801,plain,
! [X0,X1,X2,X3] : is_a_theorem(equivalent(equivalent(equivalent(equivalent(X0,X1),X2),equivalent(X3,X3)),equivalent(equivalent(X0,X1),X2))),
inference(resolution,[status(thm)],[f757,f6]) ).
fof(f825,plain,
! [X0,X1,X2,X3,X4] :
( ~ is_a_theorem(equivalent(equivalent(X0,X1),equivalent(equivalent(X2,X3),X1)))
| is_a_theorem(equivalent(equivalent(X0,X4),equivalent(equivalent(X2,X3),X4))) ),
inference(resolution,[status(thm)],[f787,f767]) ).
fof(f882,plain,
! [X0,X1,X2,X3,X4] :
( ~ is_a_theorem(equivalent(equivalent(X0,X1),equivalent(equivalent(X2,X3),X1)))
| ~ is_a_theorem(equivalent(X0,X4))
| is_a_theorem(equivalent(equivalent(X2,X3),X4)) ),
inference(resolution,[status(thm)],[f825,f5]) ).
fof(f884,plain,
! [X0,X1,X2] :
( ~ is_a_theorem(equivalent(equivalent(X0,X1),equivalent(equivalent(a,equivalent(X2,X2)),X1)))
| ~ is_a_theorem(equivalent(X0,equivalent(a,equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e)))))) ),
inference(resolution,[status(thm)],[f882,f279]) ).
fof(f1031,plain,
! [X0,X1,X2] : is_a_theorem(equivalent(equivalent(equivalent(X0,X1),equivalent(X2,X2)),equivalent(X0,X1))),
inference(resolution,[status(thm)],[f801,f739]) ).
fof(f1032,plain,
! [X0,X1,X2,X3,X4] :
( ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(X0,X1),X2),X3),equivalent(equivalent(X4,X4),X3)))
| is_a_theorem(equivalent(equivalent(X0,X1),X2)) ),
inference(resolution,[status(thm)],[f801,f724]) ).
fof(f1052,plain,
! [X0,X1,X2,X3] :
( ~ is_a_theorem(equivalent(equivalent(equivalent(X0,X1),X2),equivalent(X3,X3)))
| is_a_theorem(equivalent(equivalent(X0,X1),X2)) ),
inference(resolution,[status(thm)],[f801,f5]) ).
fof(f1073,plain,
! [X0,X1] : is_a_theorem(equivalent(equivalent(X0,X1),equivalent(X0,X1))),
inference(resolution,[status(thm)],[f1052,f118]) ).
fof(f1173,plain,
! [X0,X1,X2,X3,X4] :
( ~ is_a_theorem(equivalent(X0,equivalent(a,equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e))))))
| ~ is_a_theorem(equivalent(equivalent(equivalent(X0,equivalent(X1,equivalent(X2,X2))),X3),equivalent(equivalent(equivalent(a,X4),equivalent(X1,X4)),X3))) ),
inference(resolution,[status(thm)],[f884,f32]) ).
fof(f1351,plain,
! [X0,X1] : ~ is_a_theorem(equivalent(equivalent(equivalent(a,X0),equivalent(equivalent(X1,X1),X0)),equivalent(a,equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e)))))),
inference(resolution,[status(thm)],[f1173,f801]) ).
fof(f1362,plain,
! [X0,X1,X2,X3] :
( ~ is_a_theorem(equivalent(equivalent(X0,X1),equivalent(equivalent(equivalent(a,X2),equivalent(equivalent(X3,X3),X2)),X1)))
| ~ is_a_theorem(equivalent(X0,equivalent(a,equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e)))))) ),
inference(resolution,[status(thm)],[f1351,f882]) ).
fof(f1375,plain,
! [X0,X1] : ~ is_a_theorem(equivalent(equivalent(equivalent(a,equivalent(X0,X1)),equivalent(X1,X0)),equivalent(a,equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e)))))),
inference(resolution,[status(thm)],[f1362,f158]) ).
fof(f1503,plain,
! [X0,X1] : is_a_theorem(equivalent(equivalent(X0,X0),equivalent(X1,X1))),
inference(resolution,[status(thm)],[f1032,f801]) ).
fof(f1504,plain,
! [X0,X1,X2,X3] :
( is_a_theorem(equivalent(equivalent(X0,X1),equivalent(X2,X1)))
| ~ is_a_theorem(equivalent(equivalent(X0,X3),equivalent(X2,X3))) ),
inference(resolution,[status(thm)],[f1032,f168]) ).
fof(f1519,plain,
! [X0] : ~ is_a_theorem(equivalent(equivalent(equivalent(a,equivalent(equivalent(equivalent(b,e),equivalent(c,e)),equivalent(b,c))),X0),equivalent(a,X0))),
inference(resolution,[status(thm)],[f1504,f1375]) ).
fof(f1570,plain,
! [X0,X1,X2,X3] :
( ~ is_a_theorem(equivalent(equivalent(equivalent(X0,X1),X2),equivalent(X3,X2)))
| is_a_theorem(equivalent(equivalent(X0,X1),X3)) ),
inference(resolution,[status(thm)],[f1504,f1052]) ).
fof(f1598,plain,
! [X0,X1,X2,X3] :
( ~ is_a_theorem(equivalent(equivalent(X0,X1),equivalent(X2,X1)))
| ~ is_a_theorem(equivalent(X0,X3))
| is_a_theorem(equivalent(X2,X3)) ),
inference(resolution,[status(thm)],[f1504,f5]) ).
fof(f1896,plain,
! [X0,X1,X2,X3,X4] :
( ~ is_a_theorem(equivalent(equivalent(X0,X1),equivalent(X2,X1)))
| ~ is_a_theorem(equivalent(equivalent(equivalent(X0,X2),equivalent(X3,X3)),X4))
| is_a_theorem(X4) ),
inference(resolution,[status(thm)],[f1503,f489]) ).
fof(f2071,plain,
! [X0,X1,X2,X3] :
( ~ is_a_theorem(equivalent(equivalent(X0,X1),equivalent(X2,X1)))
| is_a_theorem(equivalent(equivalent(X0,X2),equivalent(X3,X3))) ),
inference(resolution,[status(thm)],[f1896,f1073]) ).
fof(f2242,plain,
! [X0,X1,X2] :
( ~ is_a_theorem(equivalent(equivalent(X0,X1),equivalent(X2,X1)))
| is_a_theorem(equivalent(X0,X2)) ),
inference(resolution,[status(thm)],[f1031,f1896]) ).
fof(f2246,plain,
! [X0,X1] : is_a_theorem(equivalent(equivalent(X0,equivalent(X1,X1)),X0)),
inference(resolution,[status(thm)],[f1031,f1570]) ).
fof(f3752,plain,
! [X0,X1,X2] :
( ~ is_a_theorem(equivalent(equivalent(X0,X1),equivalent(a,X1)))
| ~ is_a_theorem(equivalent(equivalent(equivalent(X0,equivalent(equivalent(equivalent(b,e),equivalent(c,e)),equivalent(b,c))),X2),equivalent(a,X2))) ),
inference(resolution,[status(thm)],[f1519,f438]) ).
fof(f3871,plain,
! [X0,X1] :
( ~ is_a_theorem(equivalent(X0,equivalent(X1,X1)))
| is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f2246,f5]) ).
fof(f3915,plain,
! [X0,X1,X2,X3] :
( is_a_theorem(X0)
| ~ is_a_theorem(equivalent(equivalent(X1,X2),equivalent(X0,X2)))
| ~ is_a_theorem(equivalent(X1,equivalent(X3,X3))) ),
inference(resolution,[status(thm)],[f3871,f1598]) ).
fof(f3948,plain,
! [X0,X1,X2,X3,X4] :
( is_a_theorem(X0)
| ~ is_a_theorem(equivalent(equivalent(equivalent(X1,X2),X3),equivalent(X0,X3)))
| ~ is_a_theorem(equivalent(equivalent(X1,X4),equivalent(X2,X4))) ),
inference(resolution,[status(thm)],[f3915,f2071]) ).
fof(f6242,plain,
! [X0,X1,X2] :
( is_a_theorem(X0)
| ~ is_a_theorem(equivalent(equivalent(equivalent(X1,X1),X2),equivalent(X0,X2))) ),
inference(resolution,[status(thm)],[f3948,f1503]) ).
fof(f6631,plain,
! [X0,X1,X2,X3] :
( is_a_theorem(equivalent(equivalent(X0,X1),equivalent(X2,X1)))
| ~ is_a_theorem(equivalent(equivalent(X2,X3),equivalent(X0,X3))) ),
inference(resolution,[status(thm)],[f6242,f168]) ).
fof(f6977,plain,
! [X0,X1,X2] :
( ~ is_a_theorem(equivalent(equivalent(X0,X1),equivalent(X2,X1)))
| is_a_theorem(equivalent(X2,X0)) ),
inference(resolution,[status(thm)],[f6631,f2242]) ).
fof(f7021,plain,
! [X0,X1] : is_a_theorem(equivalent(X0,equivalent(X0,equivalent(X1,X1)))),
inference(resolution,[status(thm)],[f6977,f2246]) ).
fof(f9267,plain,
! [X0,X1] :
( ~ is_a_theorem(X0)
| is_a_theorem(equivalent(X0,equivalent(X1,X1))) ),
inference(resolution,[status(thm)],[f7021,f5]) ).
fof(f10718,plain,
! [X0,X1] :
( ~ is_a_theorem(equivalent(X0,a))
| ~ is_a_theorem(equivalent(equivalent(equivalent(X0,equivalent(equivalent(equivalent(b,e),equivalent(c,e)),equivalent(b,c))),X1),equivalent(a,X1))) ),
inference(resolution,[status(thm)],[f9267,f3752]) ).
fof(f32321,plain,
! [X0,X1] :
( ~ is_a_theorem(equivalent(equivalent(X0,equivalent(b,c)),a))
| ~ is_a_theorem(equivalent(equivalent(equivalent(X0,equivalent(b,c)),X1),equivalent(a,X1))) ),
inference(resolution,[status(thm)],[f10718,f91]) ).
fof(f32322,plain,
! [X0,X1] : ~ is_a_theorem(equivalent(equivalent(equivalent(X0,equivalent(b,c)),X1),equivalent(a,X1))),
inference(forward_subsumption_resolution,[status(thm)],[f32321,f2242]) ).
fof(f33215,plain,
! [X0,X1,X2,X3] : ~ is_a_theorem(equivalent(equivalent(equivalent(X0,equivalent(X1,X2)),X3),equivalent(a,equivalent(X3,equivalent(b,c))))),
inference(resolution,[status(thm)],[f32322,f657]) ).
fof(f47689,plain,
$false,
inference(resolution,[status(thm)],[f33215,f2246]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.13 % Problem : LCL127-1 : TPTP v8.1.2. Released v1.0.0.
% 0.05/0.14 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.34 % Computer : n032.cluster.edu
% 0.10/0.34 % Model : x86_64 x86_64
% 0.10/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.34 % Memory : 8042.1875MB
% 0.10/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.34 % CPULimit : 300
% 0.10/0.34 % WCLimit : 300
% 0.10/0.34 % DateTime : Tue May 30 09:43:01 EDT 2023
% 0.10/0.34 % CPUTime :
% 0.10/0.35 % Drodi V3.5.1
% 239.87/30.60 % Refutation found
% 239.87/30.60 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 239.87/30.60 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 242.23/30.95 % Elapsed time: 30.561270 seconds
% 242.23/30.95 % CPU time: 242.027852 seconds
% 242.23/30.95 % Memory used: 1.410 GB
%------------------------------------------------------------------------------