TSTP Solution File: SYN336+1 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SYN336+1 : TPTP v8.1.2. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n014.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 12:46:33 EDT 2023
% Result : Theorem 0.07s 0.28s
% Output : CNFRefutation 0.07s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 1
% Syntax : Number of formulae : 7 ( 3 unt; 0 def)
% Number of atoms : 23 ( 0 equ)
% Maximal formula atoms : 5 ( 3 avg)
% Number of connectives : 20 ( 4 ~; 0 |; 8 &)
% ( 0 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 1 con; 0-2 aty)
% Number of variables : 17 (; 11 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
! [X] :
? [Y1,Y2] :
! [Z] :
( big_f(X,Z)
=> ( big_f(Y1,Z)
=> ( big_f(Y2,Z)
=> ( big_f(Y1,X)
=> big_f(Z,Y2) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,negated_conjecture,
~ ! [X] :
? [Y1,Y2] :
! [Z] :
( big_f(X,Z)
=> ( big_f(Y1,Z)
=> ( big_f(Y2,Z)
=> ( big_f(Y1,X)
=> big_f(Z,Y2) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f3,plain,
? [X] :
! [Y1,Y2] :
? [Z] :
( big_f(X,Z)
& big_f(Y1,Z)
& big_f(Y2,Z)
& big_f(Y1,X)
& ~ big_f(Z,Y2) ),
inference(pre_NNF_transformation,[status(esa)],[f2]) ).
fof(f4,plain,
! [Y1,Y2] :
( big_f(sk0_0,sk0_1(Y2,Y1))
& big_f(Y1,sk0_1(Y2,Y1))
& big_f(Y2,sk0_1(Y2,Y1))
& big_f(Y1,sk0_0)
& ~ big_f(sk0_1(Y2,Y1),Y2) ),
inference(skolemization,[status(esa)],[f3]) ).
fof(f8,plain,
! [X0] : big_f(X0,sk0_0),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f9,plain,
! [X0,X1] : ~ big_f(sk0_1(X0,X1),X0),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f10,plain,
$false,
inference(resolution,[status(thm)],[f9,f8]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.07 % Problem : SYN336+1 : TPTP v8.1.2. Released v2.0.0.
% 0.04/0.08 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.07/0.26 % Computer : n014.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 : Tue May 30 10:23:18 EDT 2023
% 0.07/0.26 % CPUTime :
% 0.07/0.27 % Drodi V3.5.1
% 0.07/0.28 % Refutation found
% 0.07/0.28 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.07/0.28 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.11/0.49 % Elapsed time: 0.015080 seconds
% 0.11/0.49 % CPU time: 0.011512 seconds
% 0.11/0.49 % Memory used: 465.493 KB
%------------------------------------------------------------------------------