%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SYN379+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 : n001.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 0.10s 0.58s
% Output : CNFRefutation 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 1
% Syntax : Number of formulae : 7 ( 3 unt; 0 def)
% Number of atoms : 19 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 20 ( 8 ~; 0 |; 8 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 6 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 27 ( 25 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
( ! [X] : big_p(X)
=> ? [Y] :
( ! [X,Z] : big_q(X,Y,Z)
=> ~ ! [Z] :
( ~ big_q(Y,Y,Z)
& big_p(Z) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,negated_conjecture,
~ ( ! [X] : big_p(X)
=> ? [Y] :
( ! [X,Z] : big_q(X,Y,Z)
=> ~ ! [Z] :
( ~ big_q(Y,Y,Z)
& big_p(Z) ) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f3,plain,
( ! [Y] :
( ! [Z] :
( ~ big_q(Y,Y,Z)
& big_p(Z) )
& ! [X,Z] : big_q(X,Y,Z) )
& ! [X] : big_p(X) ),
inference(pre_NNF_transformation,[status(thm)],[f2]) ).
fof(f4,plain,
( ! [Y,Z] : ~ big_q(Y,Y,Z)
& ! [Z] : big_p(Z)
& ! [Y,X,Z] : big_q(X,Y,Z)
& ! [X] : big_p(X) ),
inference(miniscoping,[status(thm)],[f3]) ).
fof(f6,plain,
! [X0,X1,X2] : big_q(X0,X1,X2),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f8,plain,
! [X0,X1] : ~ big_q(X0,X0,X1),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f9,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f8,f6]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN379+1 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.57 % Computer : n001.cluster.edu
% 0.10/0.57 % Model : x86_64 x86_64
% 0.10/0.57 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.57 % Memory : 8046.5625MB
% 0.10/0.57 % OS : Linux 6.8.0-71-generic
% 0.10/0.57 % CPULimit : 300
% 0.10/0.57 % WCLimit : 300
% 0.10/0.57 % DateTime : Mon Sep 21 10:58:00 UTC 2026
% 0.10/0.57 % CPUTime :
% 0.10/0.57 % Drodi V4.1.1
% 0.10/0.58 % Refutation found
% 0.10/0.58 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.10/0.58 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.10/0.60 % Elapsed time: 0.023794 seconds
% 0.10/0.60 % CPU time: 0.045220 seconds
% 0.10/0.60 % Total memory used: 2.565 MB
% 0.10/0.60 % Net memory used: 2.472 MB
%------------------------------------------------------------------------------