TSTP Solution File: LCL029-1 by Drodi---3.6.0
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%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : LCL029-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n012.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 : Tue Apr 30 20:26:11 EDT 2024
% Result : Unsatisfiable 0.11s 0.33s
% Output : CNFRefutation 0.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 6
% Syntax : Number of formulae : 36 ( 17 unt; 0 def)
% Number of atoms : 63 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 59 ( 32 ~; 27 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-1 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 77 ( 77 !; 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,Y] : is_a_theorem(implies(X,implies(Y,X))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [X,Y] : is_a_theorem(implies(implies(implies(X,Y),X),X)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,axiom,
! [X] : is_a_theorem(implies(falsehood,X)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,negated_conjecture,
~ is_a_theorem(implies(implies(implies(a,falsehood),falsehood),a)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f7,plain,
! [Y] :
( ! [X] :
( ~ is_a_theorem(implies(X,Y))
| ~ is_a_theorem(X) )
| is_a_theorem(Y) ),
inference(miniscoping,[status(esa)],[f1]) ).
fof(f8,plain,
! [X0,X1] :
( ~ is_a_theorem(implies(X0,X1))
| ~ is_a_theorem(X0)
| is_a_theorem(X1) ),
inference(cnf_transformation,[status(esa)],[f7]) ).
fof(f9,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(f10,plain,
! [X0,X1] : is_a_theorem(implies(X0,implies(X1,X0))),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f11,plain,
! [X0,X1] : is_a_theorem(implies(implies(implies(X0,X1),X0),X0)),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f12,plain,
! [X0] : is_a_theorem(implies(falsehood,X0)),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f13,plain,
~ is_a_theorem(implies(implies(implies(a,falsehood),falsehood),a)),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f22,plain,
! [X0,X1] :
( ~ is_a_theorem(X0)
| is_a_theorem(implies(X1,X0)) ),
inference(resolution,[status(thm)],[f8,f10]) ).
fof(f32,plain,
! [X0,X1] :
( ~ is_a_theorem(implies(implies(X0,X1),X0))
| is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f11,f8]) ).
fof(f33,plain,
! [X0,X1,X2] :
( ~ is_a_theorem(implies(X0,X1))
| is_a_theorem(implies(implies(X1,X2),implies(X0,X2))) ),
inference(resolution,[status(thm)],[f9,f8]) ).
fof(f34,plain,
! [X0,X1] :
( ~ is_a_theorem(implies(X0,implies(X0,X1)))
| is_a_theorem(implies(X0,X1)) ),
inference(resolution,[status(thm)],[f33,f32]) ).
fof(f35,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)],[f33,f8]) ).
fof(f40,plain,
! [X0,X1,X2] :
( ~ is_a_theorem(implies(X0,implies(implies(X1,X2),X1)))
| is_a_theorem(implies(X0,X1)) ),
inference(resolution,[status(thm)],[f35,f11]) ).
fof(f43,plain,
! [X0,X1] :
( ~ is_a_theorem(implies(X0,falsehood))
| is_a_theorem(implies(X0,X1)) ),
inference(resolution,[status(thm)],[f35,f12]) ).
fof(f44,plain,
! [X0,X1,X2] :
( ~ is_a_theorem(implies(X0,X1))
| is_a_theorem(implies(X0,implies(X2,X1))) ),
inference(resolution,[status(thm)],[f35,f10]) ).
fof(f45,plain,
! [X0,X1,X2,X3] :
( ~ is_a_theorem(implies(X0,X1))
| is_a_theorem(implies(X0,X2))
| ~ is_a_theorem(implies(X1,X3))
| ~ is_a_theorem(implies(X3,X2)) ),
inference(resolution,[status(thm)],[f35,f35]) ).
fof(f48,plain,
! [X0,X1,X2] :
( ~ is_a_theorem(implies(implies(X0,X1),X2))
| ~ is_a_theorem(implies(X2,X0))
| is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f35,f32]) ).
fof(f52,plain,
! [X0,X1] : is_a_theorem(implies(implies(implies(falsehood,X0),falsehood),X1)),
inference(resolution,[status(thm)],[f43,f11]) ).
fof(f83,plain,
! [X0,X1,X2] :
( is_a_theorem(implies(X0,X1))
| ~ is_a_theorem(implies(implies(X1,X2),X1)) ),
inference(resolution,[status(thm)],[f40,f22]) ).
fof(f90,plain,
! [X0,X1] : is_a_theorem(implies(X0,implies(falsehood,X1))),
inference(resolution,[status(thm)],[f83,f52]) ).
fof(f229,plain,
! [X0,X1] :
( ~ is_a_theorem(implies(implies(implies(a,falsehood),falsehood),X0))
| ~ is_a_theorem(implies(X0,X1))
| ~ is_a_theorem(implies(X1,a)) ),
inference(resolution,[status(thm)],[f45,f13]) ).
fof(f411,plain,
! [X0,X1] :
( ~ is_a_theorem(implies(implies(implies(falsehood,X0),implies(implies(a,falsehood),X0)),X1))
| ~ is_a_theorem(implies(X1,a)) ),
inference(resolution,[status(thm)],[f229,f9]) ).
fof(f587,plain,
! [X0,X1] :
( ~ is_a_theorem(implies(implies(falsehood,X0),X1))
| is_a_theorem(X1) ),
inference(resolution,[status(thm)],[f48,f90]) ).
fof(f597,plain,
! [X0,X1,X2] :
( is_a_theorem(implies(X0,X1))
| ~ is_a_theorem(implies(implies(falsehood,X2),X1)) ),
inference(resolution,[status(thm)],[f587,f44]) ).
fof(f667,plain,
! [X0,X1,X2] : is_a_theorem(implies(X0,implies(X1,implies(falsehood,X2)))),
inference(resolution,[status(thm)],[f597,f10]) ).
fof(f685,plain,
! [X0,X1,X2] :
( ~ is_a_theorem(implies(implies(X0,implies(falsehood,X1)),X2))
| is_a_theorem(X2) ),
inference(resolution,[status(thm)],[f667,f48]) ).
fof(f731,plain,
! [X0,X1,X2] : is_a_theorem(implies(implies(implies(falsehood,X0),X1),implies(X2,X1))),
inference(resolution,[status(thm)],[f685,f9]) ).
fof(f751,plain,
! [X0,X1] : is_a_theorem(implies(implies(implies(falsehood,X0),X1),X1)),
inference(resolution,[status(thm)],[f731,f34]) ).
fof(f754,plain,
! [X0] : ~ is_a_theorem(implies(implies(implies(a,falsehood),X0),a)),
inference(resolution,[status(thm)],[f751,f411]) ).
fof(f774,plain,
$false,
inference(resolution,[status(thm)],[f754,f11]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.07 % Problem : LCL029-1 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.08 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.07/0.26 % Computer : n012.cluster.edu
% 0.07/0.26 % Model : x86_64 x86_64
% 0.07/0.26 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.26 % Memory : 8042.1875MB
% 0.07/0.26 % OS : Linux 3.10.0-693.el7.x86_64
% 0.07/0.26 % CPULimit : 300
% 0.07/0.26 % WCLimit : 300
% 0.07/0.26 % DateTime : Mon Apr 29 20:15:41 EDT 2024
% 0.07/0.26 % CPUTime :
% 0.07/0.27 % Drodi V3.6.0
% 0.11/0.33 % Refutation found
% 0.11/0.33 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.11/0.33 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.11/0.34 % Elapsed time: 0.076015 seconds
% 0.11/0.34 % CPU time: 0.523963 seconds
% 0.11/0.34 % Total memory used: 56.291 MB
% 0.11/0.34 % Net memory used: 52.817 MB
%------------------------------------------------------------------------------