TSTP Solution File: SYN355+1 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SYN355+1 : TPTP v8.1.2. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n006.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 12:46:37 EDT 2023
% Result : Theorem 0.14s 0.31s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 1
% Syntax : Number of formulae : 11 ( 5 unt; 0 def)
% Number of atoms : 33 ( 0 equ)
% Maximal formula atoms : 6 ( 3 avg)
% Number of connectives : 34 ( 12 ~; 8 |; 8 &)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-1 aty)
% Number of functors : 1 ( 1 usr; 1 con; 0-0 aty)
% Number of variables : 13 (; 12 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
( ( ! [X] :
( big_r(X)
=> big_p(X) )
& ! [X] :
( ~ big_q(X)
=> big_r(X) ) )
=> ! [X] :
( big_p(X)
| big_q(X) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,negated_conjecture,
~ ( ( ! [X] :
( big_r(X)
=> big_p(X) )
& ! [X] :
( ~ big_q(X)
=> big_r(X) ) )
=> ! [X] :
( big_p(X)
| big_q(X) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f3,plain,
( ! [X] :
( ~ big_r(X)
| big_p(X) )
& ! [X] :
( big_q(X)
| big_r(X) )
& ? [X] :
( ~ big_p(X)
& ~ big_q(X) ) ),
inference(pre_NNF_transformation,[status(esa)],[f2]) ).
fof(f4,plain,
( ! [X] :
( ~ big_r(X)
| big_p(X) )
& ! [X] :
( big_q(X)
| big_r(X) )
& ~ big_p(sk0_0)
& ~ big_q(sk0_0) ),
inference(skolemization,[status(esa)],[f3]) ).
fof(f5,plain,
! [X0] :
( ~ big_r(X0)
| big_p(X0) ),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f6,plain,
! [X0] :
( big_q(X0)
| big_r(X0) ),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f7,plain,
~ big_p(sk0_0),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f8,plain,
~ big_q(sk0_0),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f9,plain,
big_r(sk0_0),
inference(resolution,[status(thm)],[f6,f8]) ).
fof(f10,plain,
big_p(sk0_0),
inference(resolution,[status(thm)],[f9,f5]) ).
fof(f11,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f10,f7]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : SYN355+1 : TPTP v8.1.2. Released v2.0.0.
% 0.00/0.10 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.09/0.29 % Computer : n006.cluster.edu
% 0.09/0.29 % Model : x86_64 x86_64
% 0.09/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.29 % Memory : 8042.1875MB
% 0.09/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.29 % CPULimit : 300
% 0.09/0.29 % WCLimit : 300
% 0.09/0.29 % DateTime : Tue May 30 10:26:32 EDT 2023
% 0.09/0.30 % CPUTime :
% 0.14/0.30 % Drodi V3.5.1
% 0.14/0.31 % Refutation found
% 0.14/0.31 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.14/0.31 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.14/0.52 % Elapsed time: 0.007049 seconds
% 0.14/0.52 % CPU time: 0.007956 seconds
% 0.14/0.52 % Memory used: 464.086 KB
%------------------------------------------------------------------------------