TSTP Solution File: LCL103-1 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : LCL103-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n009.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 52.77s 7.03s
% Output : CNFRefutation 52.77s
% Verified :
% SZS Type : Refutation
% Derivation depth : 28
% Number of leaves : 4
% Syntax : Number of formulae : 57 ( 24 unt; 0 def)
% Number of atoms : 101 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 103 ( 59 ~; 44 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 7 ( 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 : 161 (; 161 !; 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(X,Y),Z),equivalent(equivalent(U,Y),equivalent(equivalent(X,U),Z)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [X,Y,Z] : is_a_theorem(equivalent(equivalent(equivalent(X,Y),equivalent(equivalent(Y,X),Z)),Z)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,negated_conjecture,
~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,c)),equivalent(b,c)),e),e)),
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(X0,X1),X2),equivalent(equivalent(X3,X1),equivalent(equivalent(X0,X3),X2)))),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f8,plain,
! [X0,X1,X2] : is_a_theorem(equivalent(equivalent(equivalent(X0,X1),equivalent(equivalent(X1,X0),X2)),X2)),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f9,plain,
~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,c)),equivalent(b,c)),e),e)),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f11,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)],[f7,f6]) ).
fof(f12,plain,
! [X0,X1,X2,X3] : is_a_theorem(equivalent(equivalent(X0,equivalent(equivalent(X1,X2),X3)),equivalent(equivalent(equivalent(X2,X1),X0),X3))),
inference(resolution,[status(thm)],[f11,f8]) ).
fof(f13,plain,
! [X0,X1,X2,X3,X4] : is_a_theorem(equivalent(equivalent(X0,X1),equivalent(equivalent(equivalent(X2,X3),X0),equivalent(equivalent(X4,X3),equivalent(equivalent(X2,X4),X1))))),
inference(resolution,[status(thm)],[f11,f7]) ).
fof(f14,plain,
! [X0,X1,X2,X3,X4] : is_a_theorem(equivalent(equivalent(X0,equivalent(equivalent(X1,X2),X3)),equivalent(equivalent(X4,X0),equivalent(equivalent(equivalent(X2,X1),X4),X3)))),
inference(resolution,[status(thm)],[f12,f11]) ).
fof(f15,plain,
! [X0,X1,X2,X3] :
( ~ is_a_theorem(equivalent(X0,equivalent(equivalent(X1,X2),X3)))
| is_a_theorem(equivalent(equivalent(equivalent(X2,X1),X0),X3)) ),
inference(resolution,[status(thm)],[f12,f6]) ).
fof(f18,plain,
! [X0,X1,X2,X3,X4] :
( ~ is_a_theorem(equivalent(X0,equivalent(equivalent(X1,X2),X3)))
| is_a_theorem(equivalent(equivalent(X4,X0),equivalent(equivalent(equivalent(X2,X1),X4),X3))) ),
inference(resolution,[status(thm)],[f15,f11]) ).
fof(f19,plain,
! [X0,X1,X2,X3] :
( ~ is_a_theorem(equivalent(X0,equivalent(equivalent(X1,X2),X3)))
| ~ is_a_theorem(equivalent(equivalent(X2,X1),X0))
| is_a_theorem(X3) ),
inference(resolution,[status(thm)],[f15,f6]) ).
fof(f22,plain,
! [X0,X1,X2,X3,X4] :
( ~ is_a_theorem(equivalent(equivalent(equivalent(X0,X1),equivalent(equivalent(X2,X0),X3)),equivalent(equivalent(X3,equivalent(X2,X1)),X4)))
| is_a_theorem(X4) ),
inference(resolution,[status(thm)],[f19,f7]) ).
fof(f23,plain,
! [X0,X1,X2,X3,X4] :
( ~ is_a_theorem(equivalent(X0,equivalent(equivalent(X1,equivalent(X2,X3)),X4)))
| is_a_theorem(X4)
| ~ is_a_theorem(equivalent(X1,equivalent(equivalent(X3,X2),X0))) ),
inference(resolution,[status(thm)],[f19,f15]) ).
fof(f28,plain,
! [X0] : is_a_theorem(equivalent(X0,X0)),
inference(resolution,[status(thm)],[f22,f12]) ).
fof(f30,plain,
! [X0,X1,X2] : is_a_theorem(equivalent(equivalent(X0,X1),equivalent(equivalent(X2,X0),equivalent(X2,X1)))),
inference(resolution,[status(thm)],[f28,f11]) ).
fof(f42,plain,
! [X0,X1,X2,X3,X4,X5] : is_a_theorem(equivalent(equivalent(X0,X1),equivalent(equivalent(X2,X0),equivalent(equivalent(equivalent(X3,X4),X2),equivalent(equivalent(X5,X4),equivalent(equivalent(X3,X5),X1)))))),
inference(resolution,[status(thm)],[f13,f11]) ).
fof(f45,plain,
! [X0,X1,X2,X3,X4] :
( ~ is_a_theorem(equivalent(X0,X1))
| is_a_theorem(equivalent(equivalent(equivalent(X2,X3),X0),equivalent(equivalent(X4,X3),equivalent(equivalent(X2,X4),X1)))) ),
inference(resolution,[status(thm)],[f13,f6]) ).
fof(f46,plain,
! [X0,X1] : is_a_theorem(equivalent(equivalent(equivalent(X0,X0),X1),X1)),
inference(resolution,[status(thm)],[f14,f22]) ).
fof(f56,plain,
! [X0,X1] :
( ~ is_a_theorem(equivalent(equivalent(X0,X0),X1))
| is_a_theorem(X1) ),
inference(resolution,[status(thm)],[f46,f6]) ).
fof(f84,plain,
! [X0,X1] : is_a_theorem(equivalent(X0,equivalent(equivalent(X1,X1),X0))),
inference(resolution,[status(thm)],[f30,f22]) ).
fof(f115,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ is_a_theorem(equivalent(X0,X1))
| is_a_theorem(equivalent(equivalent(X2,X0),equivalent(equivalent(equivalent(X3,X4),X2),equivalent(equivalent(X5,X4),equivalent(equivalent(X3,X5),X1))))) ),
inference(resolution,[status(thm)],[f42,f6]) ).
fof(f132,plain,
! [X0,X1] : is_a_theorem(equivalent(equivalent(X0,X0),equivalent(X1,X1))),
inference(resolution,[status(thm)],[f84,f56]) ).
fof(f133,plain,
! [X0,X1,X2,X3] :
( ~ is_a_theorem(equivalent(equivalent(equivalent(X0,X0),equivalent(X1,X2)),equivalent(equivalent(X2,X1),X3)))
| is_a_theorem(X3) ),
inference(resolution,[status(thm)],[f84,f19]) ).
fof(f137,plain,
! [X0,X1] :
( ~ is_a_theorem(X0)
| is_a_theorem(equivalent(equivalent(X1,X1),X0)) ),
inference(resolution,[status(thm)],[f84,f6]) ).
fof(f163,plain,
! [X0,X1,X2,X3] :
( ~ is_a_theorem(equivalent(equivalent(X0,X1),equivalent(equivalent(equivalent(X2,X2),equivalent(X1,X0)),X3)))
| is_a_theorem(X3) ),
inference(resolution,[status(thm)],[f132,f23]) ).
fof(f227,plain,
! [X0,X1,X2] :
( ~ is_a_theorem(X0)
| ~ is_a_theorem(equivalent(X0,equivalent(equivalent(X1,X1),X2)))
| is_a_theorem(X2) ),
inference(resolution,[status(thm)],[f137,f19]) ).
fof(f259,plain,
! [X0,X1,X2,X3] :
( ~ is_a_theorem(equivalent(equivalent(X0,X1),X2))
| is_a_theorem(equivalent(equivalent(X0,X1),X3))
| ~ is_a_theorem(equivalent(X2,X3)) ),
inference(resolution,[status(thm)],[f227,f45]) ).
fof(f310,plain,
! [X0] :
( ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,c)),equivalent(b,c)),e),X0))
| ~ is_a_theorem(equivalent(X0,e)) ),
inference(resolution,[status(thm)],[f259,f9]) ).
fof(f328,plain,
! [X0,X1,X2] :
( ~ is_a_theorem(equivalent(equivalent(X0,X0),X1))
| ~ is_a_theorem(equivalent(X1,X2))
| is_a_theorem(X2) ),
inference(resolution,[status(thm)],[f259,f56]) ).
fof(f344,plain,
! [X0] : ~ is_a_theorem(equivalent(equivalent(equivalent(X0,equivalent(b,c)),equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,c)),X0),e)),e)),
inference(resolution,[status(thm)],[f310,f7]) ).
fof(f355,plain,
! [X0] : ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,c)),X0),e),equivalent(equivalent(equivalent(b,c),X0),e))),
inference(resolution,[status(thm)],[f344,f15]) ).
fof(f375,plain,
! [X0,X1] :
( ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,c)),X0),e),X1))
| ~ is_a_theorem(equivalent(X1,equivalent(equivalent(equivalent(b,c),X0),e))) ),
inference(resolution,[status(thm)],[f355,f259]) ).
fof(f462,plain,
! [X0,X1,X2,X3] :
( ~ is_a_theorem(equivalent(equivalent(X0,X0),equivalent(X1,X2)))
| is_a_theorem(equivalent(equivalent(X3,X1),equivalent(X3,X2))) ),
inference(resolution,[status(thm)],[f328,f30]) ).
fof(f471,plain,
! [X0,X1,X2] :
( ~ is_a_theorem(equivalent(equivalent(X0,X0),X1))
| is_a_theorem(equivalent(equivalent(X2,X2),X1)) ),
inference(resolution,[status(thm)],[f328,f84]) ).
fof(f480,plain,
! [X0,X1,X2,X3] :
( ~ is_a_theorem(equivalent(equivalent(X0,X0),equivalent(equivalent(equivalent(X1,X1),equivalent(X2,X2)),X3)))
| is_a_theorem(X3) ),
inference(resolution,[status(thm)],[f471,f163]) ).
fof(f624,plain,
! [X0,X1,X2,X3] :
( is_a_theorem(equivalent(equivalent(X0,equivalent(X1,X1)),X2))
| ~ is_a_theorem(equivalent(equivalent(X0,equivalent(X3,X3)),X2)) ),
inference(resolution,[status(thm)],[f480,f45]) ).
fof(f1105,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ is_a_theorem(equivalent(X0,X1))
| ~ is_a_theorem(equivalent(X2,X0))
| is_a_theorem(equivalent(equivalent(equivalent(X3,X4),X2),equivalent(equivalent(X5,X4),equivalent(equivalent(X3,X5),X1)))) ),
inference(resolution,[status(thm)],[f115,f6]) ).
fof(f1563,plain,
! [X0,X1,X2,X3] :
( ~ is_a_theorem(equivalent(equivalent(X0,equivalent(X1,X1)),X2))
| ~ is_a_theorem(equivalent(X0,equivalent(X3,X3)))
| is_a_theorem(X2) ),
inference(resolution,[status(thm)],[f624,f6]) ).
fof(f1911,plain,
! [X0,X1,X2] :
( ~ is_a_theorem(equivalent(X0,equivalent(X1,X1)))
| is_a_theorem(equivalent(X0,equivalent(X2,X2))) ),
inference(resolution,[status(thm)],[f1563,f28]) ).
fof(f1990,plain,
! [X0,X1,X2,X3] :
( ~ is_a_theorem(equivalent(equivalent(equivalent(X0,X0),equivalent(X1,X2)),equivalent(X3,X3)))
| is_a_theorem(equivalent(X2,X1)) ),
inference(resolution,[status(thm)],[f1911,f133]) ).
fof(f2841,plain,
! [X0] : ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,c)),X0),e),equivalent(X0,equivalent(equivalent(c,b),e)))),
inference(resolution,[status(thm)],[f375,f12]) ).
fof(f2858,plain,
! [X0] : ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,c)),equivalent(equivalent(c,b),e)),e),equivalent(X0,X0))),
inference(resolution,[status(thm)],[f2841,f1911]) ).
fof(f2864,plain,
! [X0] : ~ is_a_theorem(equivalent(equivalent(X0,X0),equivalent(e,equivalent(equivalent(equivalent(a,b),equivalent(a,c)),equivalent(equivalent(c,b),e))))),
inference(resolution,[status(thm)],[f2858,f462]) ).
fof(f3212,plain,
! [X0,X1,X2,X3] :
( is_a_theorem(equivalent(X0,X1))
| ~ is_a_theorem(equivalent(equivalent(X1,X0),equivalent(equivalent(X2,X2),equivalent(X3,X3)))) ),
inference(resolution,[status(thm)],[f1990,f15]) ).
fof(f5163,plain,
~ is_a_theorem(equivalent(e,equivalent(equivalent(equivalent(a,b),equivalent(a,c)),equivalent(equivalent(c,b),e)))),
inference(resolution,[status(thm)],[f2864,f137]) ).
fof(f7478,plain,
! [X0,X1,X2,X3] :
( ~ is_a_theorem(equivalent(X0,equivalent(X1,X2)))
| ~ is_a_theorem(equivalent(X3,X0))
| is_a_theorem(equivalent(X3,equivalent(X1,X2))) ),
inference(resolution,[status(thm)],[f1105,f3212]) ).
fof(f11023,plain,
! [X0] :
( ~ is_a_theorem(equivalent(X0,equivalent(equivalent(equivalent(a,b),equivalent(a,c)),equivalent(equivalent(c,b),e))))
| ~ is_a_theorem(equivalent(e,X0)) ),
inference(resolution,[status(thm)],[f7478,f5163]) ).
fof(f12308,plain,
! [X0] :
( ~ is_a_theorem(equivalent(e,equivalent(equivalent(a,c),X0)))
| ~ is_a_theorem(equivalent(X0,equivalent(equivalent(b,a),equivalent(equivalent(c,b),e)))) ),
inference(resolution,[status(thm)],[f11023,f18]) ).
fof(f12391,plain,
~ is_a_theorem(equivalent(e,equivalent(equivalent(a,c),equivalent(equivalent(c,a),e)))),
inference(resolution,[status(thm)],[f12308,f7]) ).
fof(f12473,plain,
! [X0] :
( ~ is_a_theorem(equivalent(X0,equivalent(equivalent(a,c),equivalent(equivalent(c,a),e))))
| ~ is_a_theorem(equivalent(e,X0)) ),
inference(resolution,[status(thm)],[f12391,f7478]) ).
fof(f14907,plain,
~ is_a_theorem(equivalent(e,equivalent(equivalent(c,c),e))),
inference(resolution,[status(thm)],[f12473,f7]) ).
fof(f14908,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f14907,f84]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : LCL103-1 : TPTP v8.1.2. Released v1.0.0.
% 0.11/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.12/0.34 % Computer : n009.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 09:37:01 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.12/0.34 % Drodi V3.5.1
% 52.77/7.03 % Refutation found
% 52.77/7.03 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 52.77/7.03 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 53.75/7.12 % Elapsed time: 6.764272 seconds
% 53.75/7.12 % CPU time: 53.658993 seconds
% 53.75/7.12 % Memory used: 504.921 MB
%------------------------------------------------------------------------------