%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SYN378+1 : TPTP v9.3.1. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n020.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 03:15:56 PM UTC 2026
% Result : Theorem 0.15s 0.58s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 1
% Syntax : Number of formulae : 8 ( 3 unt; 0 def)
% Number of atoms : 23 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 22 ( 7 ~; 2 |; 9 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-1 aty)
% Number of functors : 1 ( 1 usr; 1 con; 0-0 aty)
% Number of variables : 17 ( 11 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
( ! [X] : big_p(X)
=> ( ? [Z] :
( big_p(Z)
=> big_q(Z) )
| ~ ? [Y] : big_q(Y) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,negated_conjecture,
~ ( ! [X] : big_p(X)
=> ( ? [Z] :
( big_p(Z)
=> big_q(Z) )
| ~ ? [Y] : big_q(Y) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f3,plain,
( ! [Z] :
( ~ big_q(Z)
& big_p(Z) )
& ? [Y] : big_q(Y)
& ! [X] : big_p(X) ),
inference(pre_NNF_transformation,[status(thm)],[f2]) ).
fof(f4,plain,
( ! [Z] : ~ big_q(Z)
& ! [Z] : big_p(Z)
& ? [Y] : big_q(Y)
& ! [X] : big_p(X) ),
inference(miniscoping,[status(thm)],[f3]) ).
fof(f5,plain,
( ! [Z] : ~ big_q(Z)
& ! [Z] : big_p(Z)
& big_q(sK0_skl)
& ! [X] : big_p(X) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl]),skolemize(Y,sK0_skl)],[f4]) ).
fof(f7,plain,
big_q(sK0_skl),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f9,plain,
! [X0] : ~ big_q(X0),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f10,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f7,f9]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN378+1 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.55 % Computer : n020.cluster.edu
% 0.10/0.55 % Model : x86_64 x86_64
% 0.10/0.55 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.55 % Memory : 8046.5625MB
% 0.10/0.55 % OS : Linux 6.8.0-71-generic
% 0.10/0.55 % CPULimit : 300
% 0.10/0.55 % WCLimit : 300
% 0.10/0.55 % DateTime : Mon Sep 21 10:53:18 UTC 2026
% 0.10/0.55 % CPUTime :
% 0.10/0.56 % Drodi V4.1.1
% 0.15/0.58 % Refutation found
% 0.15/0.58 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.15/0.58 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.15/0.61 % Elapsed time: 0.050681 seconds
% 0.15/0.61 % CPU time: 0.110135 seconds
% 0.15/0.61 % Total memory used: 16.453 MB
% 0.15/0.61 % Net memory used: 15.812 MB
%------------------------------------------------------------------------------