%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SYN362+1 : TPTP v9.3.1. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n013.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 03:15:53 PM UTC 2026
% Result : Theorem 0.09s 0.36s
% Output : CNFRefutation 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 1
% Syntax : Number of formulae : 9 ( 4 unt; 0 def)
% Number of atoms : 22 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 25 ( 12 ~; 3 |; 6 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 2 ( 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 : 22 ( 14 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
( ( ? [Z] :
! [X] :
( big_p(X)
=> ~ big_r(Z,X) )
& ! [Y] :
? [W] : big_r(Y,W) )
=> ? [X] : ~ big_p(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,negated_conjecture,
~ ( ( ? [Z] :
! [X] :
( big_p(X)
=> ~ big_r(Z,X) )
& ! [Y] :
? [W] : big_r(Y,W) )
=> ? [X] : ~ big_p(X) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f3,plain,
( ! [X] : big_p(X)
& ? [Z] :
! [X] :
( ~ big_r(Z,X)
| ~ big_p(X) )
& ! [Y] :
? [W] : big_r(Y,W) ),
inference(pre_NNF_transformation,[status(thm)],[f2]) ).
fof(f4,plain,
( ! [X] : big_p(X)
& ! [X] :
( ~ big_r(sK1_skl,X)
| ~ big_p(X) )
& ! [Y] : big_r(Y,sK0_skl(Y)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl,sK1_skl]),skolemize(W,sK0_skl(Y)),skolemize(Z,sK1_skl)],[f3]) ).
fof(f5,plain,
! [X0] : big_r(X0,sK0_skl(X0)),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f6,plain,
! [X0] :
( ~ big_r(sK1_skl,X0)
| ~ big_p(X0) ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f7,plain,
! [X0] : big_p(X0),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f8,plain,
! [X0] : ~ big_r(sK1_skl,X0),
inference(forward_subsumption_resolution,[status(thm)],[f6,f7]) ).
fof(f9,plain,
$false,
inference(resolution,[status(thm)],[f8,f5]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN362+1 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.03 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.34 % Computer : n013.cluster.edu
% 0.09/0.34 % Model : x86_64 x86_64
% 0.09/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.34 % Memory : 8046.5625MB
% 0.09/0.34 % OS : Linux 6.8.0-71-generic
% 0.09/0.34 % CPULimit : 300
% 0.09/0.34 % WCLimit : 300
% 0.09/0.34 % DateTime : Mon Sep 21 10:51:06 UTC 2026
% 0.09/0.34 % CPUTime :
% 0.09/0.35 % Drodi V4.1.1
% 0.09/0.36 % Refutation found
% 0.09/0.36 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.09/0.36 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.09/0.38 % Elapsed time: 0.033756 seconds
% 0.09/0.38 % CPU time: 0.059771 seconds
% 0.09/0.38 % Total memory used: 1.727 MB
% 0.09/0.38 % Net memory used: 1.709 MB
%------------------------------------------------------------------------------