TSTP Solution File: LCL372-1 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : LCL372-1 : TPTP v8.1.2. Released v2.3.0.
% 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 12:19:06 EDT 2023
% Result : Unsatisfiable 104.27s 13.51s
% Output : CNFRefutation 104.95s
% Verified :
% SZS Type : Refutation
% Derivation depth : 34
% Number of leaves : 5
% Syntax : Number of formulae : 72 ( 36 unt; 0 def)
% Number of atoms : 115 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 91 ( 48 ~; 43 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-1 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 176 (; 176 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X,Y] :
( ~ is_a_theorem(implies(X,Y))
| ~ is_a_theorem(X)
| is_a_theorem(Y) ),
file('/export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [X] : is_a_theorem(implies(implies(not(X),X),X)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [X,Y] : is_a_theorem(implies(X,implies(not(X),Y))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,negated_conjecture,
~ is_a_theorem(implies(implies(implies(implies(x,y),y),z),implies(implies(implies(y,u),x),z))),
file('/export/starexec/sandbox/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(implies(implies(x,y),y),z),implies(implies(implies(y,u),x),z))),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f12,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(f13,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)],[f12,f8]) ).
fof(f15,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)],[f13,f7]) ).
fof(f53,plain,
! [X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(implies(not(X0),X0),X1))),
inference(resolution,[status(thm)],[f9,f12]) ).
fof(f54,plain,
! [X0] :
( ~ is_a_theorem(implies(not(X0),X0))
| is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f9,f7]) ).
fof(f56,plain,
! [X0,X1,X2] : is_a_theorem(implies(implies(implies(not(X0),X1),X2),implies(X0,X2))),
inference(resolution,[status(thm)],[f10,f12]) ).
fof(f57,plain,
! [X0,X1] :
( ~ is_a_theorem(X0)
| is_a_theorem(implies(not(X0),X1)) ),
inference(resolution,[status(thm)],[f10,f7]) ).
fof(f59,plain,
! [X0,X1,X2] :
( ~ is_a_theorem(X0)
| is_a_theorem(implies(implies(X1,X2),implies(not(X0),X2))) ),
inference(resolution,[status(thm)],[f57,f12]) ).
fof(f69,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)],[f53,f12]) ).
fof(f71,plain,
! [X0,X1,X2] : is_a_theorem(implies(implies(X0,not(X1)),implies(X1,implies(X0,X2)))),
inference(resolution,[status(thm)],[f56,f15]) ).
fof(f73,plain,
! [X0,X1,X2] :
( ~ is_a_theorem(implies(implies(not(X0),X1),X2))
| is_a_theorem(implies(X0,X2)) ),
inference(resolution,[status(thm)],[f56,f7]) ).
fof(f81,plain,
! [X0] : is_a_theorem(implies(X0,X0)),
inference(resolution,[status(thm)],[f73,f9]) ).
fof(f82,plain,
! [X0,X1,X2] : is_a_theorem(implies(X0,implies(X1,implies(not(X0),X2)))),
inference(resolution,[status(thm)],[f73,f71]) ).
fof(f84,plain,
! [X0,X1,X2] :
( is_a_theorem(implies(X0,implies(not(X1),X2)))
| ~ is_a_theorem(X1) ),
inference(resolution,[status(thm)],[f73,f59]) ).
fof(f99,plain,
! [X0,X1,X2,X3] : is_a_theorem(implies(implies(implies(X0,implies(not(X1),X2)),X3),implies(X1,X3))),
inference(resolution,[status(thm)],[f82,f12]) ).
fof(f104,plain,
! [X0,X1,X2,X3] :
( ~ is_a_theorem(X0)
| is_a_theorem(implies(implies(implies(not(X0),X1),X2),implies(X3,X2))) ),
inference(resolution,[status(thm)],[f84,f12]) ).
fof(f117,plain,
! [X0,X1,X2] : is_a_theorem(implies(implies(X0,implies(not(X1),X1)),implies(implies(X1,X2),implies(X0,X2)))),
inference(resolution,[status(thm)],[f69,f15]) ).
fof(f119,plain,
! [X0,X1,X2] :
( ~ is_a_theorem(implies(implies(implies(not(X0),X0),X1),X2))
| is_a_theorem(implies(implies(X0,X1),X2)) ),
inference(resolution,[status(thm)],[f69,f7]) ).
fof(f349,plain,
! [X0,X1,X2,X3] :
( ~ is_a_theorem(implies(implies(X0,implies(not(X1),X2)),X3))
| is_a_theorem(implies(X1,X3)) ),
inference(resolution,[status(thm)],[f99,f7]) ).
fof(f353,plain,
! [X0,X1,X2,X3] :
( ~ is_a_theorem(X0)
| ~ is_a_theorem(implies(implies(not(X0),X1),X2))
| is_a_theorem(implies(X3,X2)) ),
inference(resolution,[status(thm)],[f104,f7]) ).
fof(f437,plain,
! [X0,X1] :
( ~ is_a_theorem(X0)
| is_a_theorem(implies(X1,X0)) ),
inference(resolution,[status(thm)],[f353,f9]) ).
fof(f493,plain,
! [X0,X1,X2] : is_a_theorem(implies(X0,implies(implies(X0,X1),implies(X2,X1)))),
inference(resolution,[status(thm)],[f117,f349]) ).
fof(f564,plain,
! [X0,X1,X2] :
( ~ is_a_theorem(X0)
| is_a_theorem(implies(implies(X0,X1),implies(X2,X1))) ),
inference(resolution,[status(thm)],[f493,f7]) ).
fof(f616,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)],[f12,f7]) ).
fof(f845,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)],[f616,f56]) ).
fof(f848,plain,
! [X0,X1] :
( ~ is_a_theorem(implies(X0,implies(not(X1),X1)))
| is_a_theorem(implies(X0,X1)) ),
inference(resolution,[status(thm)],[f616,f9]) ).
fof(f851,plain,
! [X0,X1,X2,X3] :
( ~ is_a_theorem(implies(X0,implies(X1,X2)))
| is_a_theorem(implies(X0,implies(implies(X2,X3),implies(X1,X3)))) ),
inference(resolution,[status(thm)],[f616,f8]) ).
fof(f852,plain,
! [X0,X1,X2,X3] :
( ~ is_a_theorem(implies(X0,implies(X1,X2)))
| is_a_theorem(implies(X0,implies(X3,X2)))
| ~ is_a_theorem(implies(X3,X1)) ),
inference(resolution,[status(thm)],[f616,f12]) ).
fof(f861,plain,
! [X0,X1,X2] :
( ~ is_a_theorem(implies(X0,X1))
| is_a_theorem(implies(X0,implies(not(X1),X2))) ),
inference(resolution,[status(thm)],[f616,f10]) ).
fof(f873,plain,
! [X0,X1] :
( is_a_theorem(implies(implies(X0,X1),X1))
| ~ is_a_theorem(implies(not(X1),X0)) ),
inference(resolution,[status(thm)],[f848,f12]) ).
fof(f874,plain,
! [X0,X1] :
( is_a_theorem(implies(implies(X0,X1),X1))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f848,f564]) ).
fof(f889,plain,
! [X0,X1] :
( ~ is_a_theorem(X0)
| is_a_theorem(implies(implies(X0,implies(not(X1),X1)),X1)) ),
inference(resolution,[status(thm)],[f874,f848]) ).
fof(f1488,plain,
! [X0,X1,X2] :
( ~ is_a_theorem(implies(X0,X1))
| ~ is_a_theorem(X0)
| is_a_theorem(implies(not(X1),X2)) ),
inference(resolution,[status(thm)],[f861,f7]) ).
fof(f1536,plain,
! [X0,X1] : is_a_theorem(implies(implies(implies(X0,X0),implies(not(X1),X1)),X1)),
inference(resolution,[status(thm)],[f889,f81]) ).
fof(f1610,plain,
! [X0,X1] :
( ~ is_a_theorem(implies(not(X0),X0))
| is_a_theorem(implies(not(X0),X1)) ),
inference(resolution,[status(thm)],[f1488,f9]) ).
fof(f1727,plain,
! [X0,X1] :
( ~ is_a_theorem(implies(implies(X0,X0),implies(not(X1),X1)))
| is_a_theorem(X1) ),
inference(resolution,[status(thm)],[f1536,f7]) ).
fof(f2242,plain,
! [X0,X1,X2] :
( ~ is_a_theorem(implies(not(implies(implies(X0,X1),implies(X2,X1))),implies(X2,X0)))
| is_a_theorem(implies(implies(X0,X1),implies(X2,X1))) ),
inference(resolution,[status(thm)],[f851,f54]) ).
fof(f2482,plain,
! [X0,X1] :
( is_a_theorem(implies(implies(X0,X1),X1))
| ~ is_a_theorem(implies(not(X0),X0)) ),
inference(resolution,[status(thm)],[f119,f874]) ).
fof(f2863,plain,
! [X0,X1] :
( is_a_theorem(X0)
| ~ is_a_theorem(implies(implies(X1,X1),X0)) ),
inference(resolution,[status(thm)],[f1727,f861]) ).
fof(f3024,plain,
! [X0,X1,X2] : is_a_theorem(implies(implies(implies(X0,X0),X1),implies(X2,X1))),
inference(resolution,[status(thm)],[f2863,f493]) ).
fof(f3646,plain,
! [X0,X1,X2] :
( ~ is_a_theorem(implies(implies(X0,X0),X1))
| is_a_theorem(implies(X2,X1)) ),
inference(resolution,[status(thm)],[f3024,f7]) ).
fof(f3687,plain,
! [X0,X1] : is_a_theorem(implies(X0,implies(implies(not(X1),X1),X1))),
inference(resolution,[status(thm)],[f3646,f53]) ).
fof(f3882,plain,
! [X0,X1] : is_a_theorem(implies(implies(implies(implies(not(X0),X0),X0),X1),X1)),
inference(resolution,[status(thm)],[f3687,f873]) ).
fof(f6953,plain,
! [X0,X1] : is_a_theorem(implies(implies(X0,implies(not(X1),X1)),implies(X0,X1))),
inference(resolution,[status(thm)],[f3882,f15]) ).
fof(f8306,plain,
! [X0,X1] : is_a_theorem(implies(implies(not(X0),X1),implies(implies(X1,X0),X0))),
inference(resolution,[status(thm)],[f6953,f15]) ).
fof(f8800,plain,
! [X0,X1] : is_a_theorem(implies(X0,implies(implies(X1,X0),X0))),
inference(resolution,[status(thm)],[f8306,f73]) ).
fof(f8811,plain,
! [X0,X1] : is_a_theorem(implies(implies(not(X0),not(X1)),implies(X1,X0))),
inference(resolution,[status(thm)],[f8306,f845]) ).
fof(f8846,plain,
! [X0,X1] : is_a_theorem(implies(X0,implies(X1,X0))),
inference(resolution,[status(thm)],[f8800,f845]) ).
fof(f10162,plain,
! [X0,X1,X2] : is_a_theorem(implies(X0,implies(X1,implies(X2,X1)))),
inference(resolution,[status(thm)],[f437,f8846]) ).
fof(f11631,plain,
! [X0,X1,X2] : is_a_theorem(implies(not(implies(X0,implies(X1,X0))),X2)),
inference(resolution,[status(thm)],[f1610,f10162]) ).
fof(f12737,plain,
! [X0] :
( ~ is_a_theorem(implies(implies(implies(implies(x,y),y),z),implies(X0,z)))
| ~ is_a_theorem(implies(implies(implies(y,u),x),X0)) ),
inference(resolution,[status(thm)],[f852,f11]) ).
fof(f13366,plain,
! [X0] :
( ~ is_a_theorem(implies(implies(implies(y,u),x),X0))
| ~ is_a_theorem(implies(X0,implies(implies(x,y),y))) ),
inference(resolution,[status(thm)],[f12737,f12]) ).
fof(f15363,plain,
! [X0,X1,X2] : is_a_theorem(implies(implies(implies(X0,implies(X1,X0)),X2),X2)),
inference(resolution,[status(thm)],[f2482,f11631]) ).
fof(f15461,plain,
! [X0,X1,X2] :
( ~ is_a_theorem(implies(implies(X0,implies(X1,X0)),X2))
| is_a_theorem(X2) ),
inference(resolution,[status(thm)],[f15363,f7]) ).
fof(f15507,plain,
! [X0,X1,X2] : is_a_theorem(implies(implies(implies(X0,X1),X2),implies(X1,X2))),
inference(resolution,[status(thm)],[f15461,f8]) ).
fof(f15660,plain,
! [X0,X1,X2] :
( ~ is_a_theorem(implies(implies(X0,X1),X2))
| is_a_theorem(implies(X1,X2)) ),
inference(resolution,[status(thm)],[f15507,f7]) ).
fof(f15728,plain,
! [X0,X1] : is_a_theorem(implies(not(X0),implies(X0,X1))),
inference(resolution,[status(thm)],[f15660,f8811]) ).
fof(f15977,plain,
! [X0,X1,X2] : is_a_theorem(implies(X0,implies(not(X1),implies(X1,X2)))),
inference(resolution,[status(thm)],[f15728,f437]) ).
fof(f21997,plain,
! [X0,X1,X2] : is_a_theorem(implies(implies(implies(X0,X1),X2),implies(not(X0),X2))),
inference(resolution,[status(thm)],[f2242,f15977]) ).
fof(f52828,plain,
~ is_a_theorem(implies(implies(implies(y,u),x),implies(not(y),x))),
inference(resolution,[status(thm)],[f13366,f8306]) ).
fof(f52829,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f52828,f21997]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.10 % Problem : LCL372-1 : TPTP v8.1.2. Released v2.3.0.
% 0.05/0.10 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.09/0.30 % Computer : n032.cluster.edu
% 0.09/0.30 % Model : x86_64 x86_64
% 0.09/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.30 % Memory : 8042.1875MB
% 0.09/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.30 % CPULimit : 300
% 0.09/0.30 % WCLimit : 300
% 0.09/0.30 % DateTime : Tue May 30 09:41:30 EDT 2023
% 0.09/0.31 % CPUTime :
% 0.09/0.31 % Drodi V3.5.1
% 104.27/13.51 % Refutation found
% 104.27/13.51 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 104.27/13.51 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 104.95/13.63 % Elapsed time: 13.309123 seconds
% 104.95/13.63 % CPU time: 105.419258 seconds
% 104.95/13.63 % Memory used: 707.766 MB
%------------------------------------------------------------------------------