TSTP Solution File: LCL045-1 by Drodi---3.6.0
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%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : LCL045-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n003.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 20:26:13 EDT 2024
% Result : Unsatisfiable 5.94s 1.14s
% Output : CNFRefutation 6.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 7
% Syntax : Number of formulae : 27 ( 17 unt; 0 def)
% Number of atoms : 41 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 34 ( 20 ~; 14 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-1 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 54 ( 54 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X,Y] :
( ~ is_a_theorem(implies(X,Y))
| ~ is_a_theorem(X)
| is_a_theorem(Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [X,Y] : is_a_theorem(implies(X,implies(not(X),Y))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [X,Y] : is_a_theorem(implies(X,implies(Y,X))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [X,Y,Z] : is_a_theorem(implies(implies(X,implies(Y,Z)),implies(Y,implies(X,Z)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5,axiom,
! [Y,Z,X] : is_a_theorem(implies(implies(Y,Z),implies(implies(X,Y),implies(X,Z)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f6,axiom,
! [X,Y] : is_a_theorem(implies(implies(X,Y),implies(implies(not(X),Y),Y))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f7,negated_conjecture,
~ is_a_theorem(implies(implies(a,b),implies(not(b),not(a)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f8,plain,
! [Y] :
( ! [X] :
( ~ is_a_theorem(implies(X,Y))
| ~ is_a_theorem(X) )
| is_a_theorem(Y) ),
inference(miniscoping,[status(esa)],[f1]) ).
fof(f9,plain,
! [X0,X1] :
( ~ is_a_theorem(implies(X0,X1))
| ~ is_a_theorem(X0)
| is_a_theorem(X1) ),
inference(cnf_transformation,[status(esa)],[f8]) ).
fof(f10,plain,
! [X0,X1] : is_a_theorem(implies(X0,implies(not(X0),X1))),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f11,plain,
! [X0,X1] : is_a_theorem(implies(X0,implies(X1,X0))),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f12,plain,
! [X0,X1,X2] : is_a_theorem(implies(implies(X0,implies(X1,X2)),implies(X1,implies(X0,X2)))),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f13,plain,
! [X0,X1,X2] : is_a_theorem(implies(implies(X0,X1),implies(implies(X2,X0),implies(X2,X1)))),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f14,plain,
! [X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(implies(not(X0),X1),X1))),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f15,plain,
~ is_a_theorem(implies(implies(a,b),implies(not(b),not(a)))),
inference(cnf_transformation,[status(esa)],[f7]) ).
fof(f16,plain,
! [X0] :
( ~ is_a_theorem(implies(X0,implies(implies(a,b),implies(not(b),not(a)))))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f9,f15]) ).
fof(f18,plain,
! [X0,X1] :
( ~ is_a_theorem(X0)
| ~ is_a_theorem(implies(X1,implies(X0,implies(implies(a,b),implies(not(b),not(a))))))
| ~ is_a_theorem(X1) ),
inference(resolution,[status(thm)],[f16,f9]) ).
fof(f41,plain,
! [X0] :
( ~ is_a_theorem(implies(not(X0),implies(implies(a,b),implies(not(b),not(a)))))
| ~ is_a_theorem(implies(X0,implies(implies(a,b),implies(not(b),not(a))))) ),
inference(resolution,[status(thm)],[f18,f14]) ).
fof(f73,plain,
! [X0,X1] :
( ~ is_a_theorem(X0)
| is_a_theorem(implies(X1,X0)) ),
inference(resolution,[status(thm)],[f9,f11]) ).
fof(f95,plain,
! [X0,X1,X2] :
( ~ is_a_theorem(implies(X0,implies(X1,X2)))
| is_a_theorem(implies(X1,implies(X0,X2))) ),
inference(resolution,[status(thm)],[f12,f9]) ).
fof(f375,plain,
! [X0,X1,X2] :
( ~ is_a_theorem(implies(X0,X1))
| is_a_theorem(implies(implies(X2,X0),implies(X2,X1))) ),
inference(resolution,[status(thm)],[f13,f9]) ).
fof(f385,plain,
! [X0,X1,X2] :
( is_a_theorem(implies(X0,implies(X1,X2)))
| ~ is_a_theorem(implies(X0,X2)) ),
inference(resolution,[status(thm)],[f95,f73]) ).
fof(f637,plain,
! [X0,X1,X2] : is_a_theorem(implies(implies(X0,X1),implies(X0,implies(not(X1),X2)))),
inference(resolution,[status(thm)],[f375,f10]) ).
fof(f933,plain,
! [X0,X1,X2] : is_a_theorem(implies(X0,implies(X1,implies(X2,X0)))),
inference(resolution,[status(thm)],[f385,f11]) ).
fof(f962,plain,
~ is_a_theorem(implies(a,implies(implies(a,b),implies(not(b),not(a))))),
inference(resolution,[status(thm)],[f933,f41]) ).
fof(f2687,plain,
! [X0,X1,X2] : is_a_theorem(implies(X0,implies(implies(X0,X1),implies(not(X1),X2)))),
inference(resolution,[status(thm)],[f637,f95]) ).
fof(f2688,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[f962,f2687]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : LCL045-1 : TPTP v8.1.2. Released v1.0.0.
% 0.12/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.35 % Computer : n003.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Mon Apr 29 20:27:33 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.13/0.36 % Drodi V3.6.0
% 5.94/1.14 % Refutation found
% 5.94/1.14 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 5.94/1.14 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 6.23/1.19 % Elapsed time: 0.825538 seconds
% 6.23/1.19 % CPU time: 6.392651 seconds
% 6.23/1.19 % Total memory used: 172.876 MB
% 6.23/1.19 % Net memory used: 155.328 MB
%------------------------------------------------------------------------------