TSTP Solution File: SYN384+1 by Drodi---3.6.0
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%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : SYN384+1 : TPTP v8.1.2. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n024.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 20:52:04 EDT 2024
% Result : Theorem 0.17s 0.77s
% Output : CNFRefutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 1
% Syntax : Number of formulae : 8 ( 3 unt; 0 def)
% Number of atoms : 13 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 10 ( 5 ~; 0 |; 3 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 2 ( 2 usr; 1 con; 0-1 aty)
% Number of variables : 23 ( 15 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
! [Z] :
? [X,Y] :
! [U] :
( big_p(X,Y,Z)
=> big_p(U,X,X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,negated_conjecture,
~ ! [Z] :
? [X,Y] :
! [U] :
( big_p(X,Y,Z)
=> big_p(U,X,X) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f3,plain,
? [Z] :
! [X,Y] :
? [U] :
( big_p(X,Y,Z)
& ~ big_p(U,X,X) ),
inference(pre_NNF_transformation,[status(esa)],[f2]) ).
fof(f4,plain,
( ? [Z] :
! [X,Y] : big_p(X,Y,Z)
& ! [X] :
? [U] : ~ big_p(U,X,X) ),
inference(miniscoping,[status(esa)],[f3]) ).
fof(f5,plain,
( ! [X,Y] : big_p(X,Y,sk0_0)
& ! [X] : ~ big_p(sk0_1(X),X,X) ),
inference(skolemization,[status(esa)],[f4]) ).
fof(f6,plain,
! [X0,X1] : big_p(X0,X1,sk0_0),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f7,plain,
! [X0] : ~ big_p(sk0_1(X0),X0,X0),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f8,plain,
$false,
inference(resolution,[status(thm)],[f7,f6]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.48 % Problem : SYN384+1 : TPTP v8.1.2. Released v2.0.0.
% 0.12/0.49 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.17/0.76 % Computer : n024.cluster.edu
% 0.17/0.76 % Model : x86_64 x86_64
% 0.17/0.76 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.76 % Memory : 8042.1875MB
% 0.17/0.76 % OS : Linux 3.10.0-693.el7.x86_64
% 0.17/0.76 % CPULimit : 300
% 0.17/0.76 % WCLimit : 300
% 0.17/0.76 % DateTime : Mon Apr 29 21:51:37 EDT 2024
% 0.17/0.76 % CPUTime :
% 0.17/0.77 % Drodi V3.6.0
% 0.17/0.77 % Refutation found
% 0.17/0.77 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.17/0.77 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.17/0.79 % Elapsed time: 0.020663 seconds
% 0.17/0.79 % CPU time: 0.031151 seconds
% 0.17/0.79 % Total memory used: 1.868 MB
% 0.17/0.79 % Net memory used: 1.678 MB
%------------------------------------------------------------------------------