TSTP Solution File: SYN065-1 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SYN065-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n008.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 12:45:52 EDT 2023
% Result : Unsatisfiable 0.10s 0.31s
% Output : CNFRefutation 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 3
% Syntax : Number of formulae : 10 ( 6 unt; 0 def)
% Number of atoms : 17 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 16 ( 9 ~; 7 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 1 con; 0-1 aty)
% Number of variables : 16 (; 16 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X] : big_f(X,f(X)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [X,Y,Z] :
( ~ big_f(X,Y)
| ~ big_f(Y,Z)
| big_h(X,Z) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f7,negated_conjecture,
! [X] : ~ big_h(a,X),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f8,plain,
! [X0] : big_f(X0,f(X0)),
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f10,plain,
! [X,Z] :
( ! [Y] :
( ~ big_f(X,Y)
| ~ big_f(Y,Z) )
| big_h(X,Z) ),
inference(miniscoping,[status(esa)],[f3]) ).
fof(f11,plain,
! [X0,X1,X2] :
( ~ big_f(X0,X1)
| ~ big_f(X1,X2)
| big_h(X0,X2) ),
inference(cnf_transformation,[status(esa)],[f10]) ).
fof(f18,plain,
! [X0] : ~ big_h(a,X0),
inference(cnf_transformation,[status(esa)],[f7]) ).
fof(f19,plain,
! [X0,X1] :
( ~ big_f(X0,X1)
| big_h(X0,f(X1)) ),
inference(resolution,[status(thm)],[f8,f11]) ).
fof(f20,plain,
! [X0] : big_h(X0,f(f(X0))),
inference(resolution,[status(thm)],[f19,f8]) ).
fof(f21,plain,
$false,
inference(resolution,[status(thm)],[f20,f18]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : SYN065-1 : TPTP v8.1.2. Released v1.0.0.
% 0.06/0.12 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.06/0.30 % Computer : n008.cluster.edu
% 0.06/0.30 % Model : x86_64 x86_64
% 0.06/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.30 % Memory : 8042.1875MB
% 0.06/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.06/0.30 % CPULimit : 300
% 0.06/0.30 % WCLimit : 300
% 0.06/0.30 % DateTime : Tue May 30 10:28:38 EDT 2023
% 0.06/0.30 % CPUTime :
% 0.06/0.30 % Drodi V3.5.1
% 0.10/0.31 % Refutation found
% 0.10/0.31 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.10/0.31 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.10/0.53 % Elapsed time: 0.011199 seconds
% 0.10/0.53 % CPU time: 0.017477 seconds
% 0.10/0.53 % Memory used: 7.010 MB
%------------------------------------------------------------------------------