TSTP Solution File: SYN323+1 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SYN323+1 : TPTP v8.1.2. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n021.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 12:46:30 EDT 2023
% Result : Theorem 0.14s 0.36s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 1
% Syntax : Number of formulae : 12 ( 4 unt; 0 def)
% Number of atoms : 36 ( 0 equ)
% Maximal formula atoms : 6 ( 3 avg)
% Number of connectives : 40 ( 16 ~; 8 |; 6 &)
% ( 0 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 27 (; 25 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
? [Y] :
( ! [X] :
( ( big_f(X,Y)
=> big_f(Y,X) )
=> big_g(X,Y) )
=> ~ ! [X] :
( ( big_f(X,Y)
=> big_f(Y,X) )
=> ~ big_g(X,Y) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,negated_conjecture,
~ ? [Y] :
( ! [X] :
( ( big_f(X,Y)
=> big_f(Y,X) )
=> big_g(X,Y) )
=> ~ ! [X] :
( ( big_f(X,Y)
=> big_f(Y,X) )
=> ~ big_g(X,Y) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f3,plain,
! [Y] :
( ! [X] :
( ( big_f(X,Y)
& ~ big_f(Y,X) )
| big_g(X,Y) )
& ! [X] :
( ( big_f(X,Y)
& ~ big_f(Y,X) )
| ~ big_g(X,Y) ) ),
inference(pre_NNF_transformation,[status(esa)],[f2]) ).
fof(f4,plain,
( ! [Y,X] :
( ( big_f(X,Y)
& ~ big_f(Y,X) )
| big_g(X,Y) )
& ! [Y,X] :
( ( big_f(X,Y)
& ~ big_f(Y,X) )
| ~ big_g(X,Y) ) ),
inference(miniscoping,[status(esa)],[f3]) ).
fof(f5,plain,
! [X0,X1] :
( big_f(X0,X1)
| big_g(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f6,plain,
! [X0,X1] :
( ~ big_f(X0,X1)
| big_g(X1,X0) ),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f7,plain,
! [X0,X1] :
( big_f(X0,X1)
| ~ big_g(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f8,plain,
! [X0,X1] :
( ~ big_f(X0,X1)
| ~ big_g(X1,X0) ),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f9,plain,
! [X0,X1] : big_f(X0,X1),
inference(forward_subsumption_resolution,[status(thm)],[f7,f5]) ).
fof(f10,plain,
! [X0,X1] : ~ big_g(X0,X1),
inference(forward_subsumption_resolution,[status(thm)],[f8,f9]) ).
fof(f11,plain,
! [X0,X1] : big_g(X0,X1),
inference(backward_subsumption_resolution,[status(thm)],[f6,f9]) ).
fof(f12,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f11,f10]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : SYN323+1 : TPTP v8.1.2. Released v2.0.0.
% 0.12/0.14 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.14/0.35 % Computer : n021.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Tue May 30 10:25:07 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.14/0.36 % Drodi V3.5.1
% 0.14/0.36 % Refutation found
% 0.14/0.36 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.14/0.36 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.14/0.37 % Elapsed time: 0.017492 seconds
% 0.14/0.37 % CPU time: 0.026130 seconds
% 0.14/0.37 % Memory used: 1.789 MB
%------------------------------------------------------------------------------