%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : LAT388+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/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 01:03:04 PM UTC 2026
% Result : Theorem 0.16s 0.47s
% Output : CNFRefutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 2
% Syntax : Number of formulae : 7 ( 6 unt; 0 def)
% Number of atoms : 8 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 4 ( 3 ~; 0 |; 1 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 3 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 4 ( 2 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f30,hypothesis,
( aSupremumOfIn0(xp,xT,xS)
& aFixedPointOf0(xp,xf) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f31,conjecture,
? [W0] : aSupremumOfIn0(W0,xT,xS),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f32,negated_conjecture,
~ ? [W0] : aSupremumOfIn0(W0,xT,xS),
inference(negated_conjecture,[status(cth)],[f31]) ).
fof(f148,plain,
aSupremumOfIn0(xp,xT,xS),
inference(cnf_transformation,[status(thm)],[f30]) ).
fof(f149,plain,
! [W0] : ~ aSupremumOfIn0(W0,xT,xS),
inference(pre_NNF_transformation,[status(thm)],[f32]) ).
fof(f150,plain,
! [X0] : ~ aSupremumOfIn0(X0,xT,xS),
inference(cnf_transformation,[status(thm)],[f149]) ).
fof(f152,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f148,f150]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : LAT388+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.16/0.42 % Computer : n001.cluster.edu
% 0.16/0.42 % Model : x86_64 x86_64
% 0.16/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.42 % Memory : 8046.5625MB
% 0.16/0.42 % OS : Linux 6.8.0-71-generic
% 0.16/0.42 % CPULimit : 300
% 0.16/0.42 % WCLimit : 300
% 0.16/0.42 % DateTime : Mon Sep 21 00:03:27 UTC 2026
% 0.16/0.42 % CPUTime :
% 0.16/0.44 % Drodi V4.1.1
% 0.16/0.47 % Refutation found
% 0.16/0.47 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.16/0.47 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.16/0.56 % Elapsed time: 0.130077 seconds
% 0.16/0.56 % CPU time: 0.109832 seconds
% 0.16/0.56 % Total memory used: 9.770 MB
% 0.16/0.56 % Net memory used: 9.765 MB
%------------------------------------------------------------------------------