%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : NUM343+1 : TPTP v9.3.1. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n010.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 01:39:00 PM UTC 2026
% Result : Theorem 0.18s 0.48s
% Output : CNFRefutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 2
% Syntax : Number of formulae : 11 ( 3 unt; 0 def)
% Number of atoms : 32 ( 6 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 35 ( 14 ~; 7 |; 11 &)
% ( 1 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 5 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 18 ( 16 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f284,axiom,
! [X,Y] :
( less(X,Y)
<=> ( Y != X
& ~ less(Y,X) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f402,conjecture,
? [X] :
( ( less(X,n1)
& less(nn1,X) )
=> sum(n21,X,n21) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f403,negated_conjecture,
~ ? [X] :
( ( less(X,n1)
& less(nn1,X) )
=> sum(n21,X,n21) ),
inference(negated_conjecture,[status(cth)],[f402]) ).
fof(f703,plain,
! [X,Y] :
( ( Y = X
| less(Y,X)
| less(X,Y) )
& ( ( Y != X
& ~ less(Y,X) )
| ~ less(X,Y) ) ),
inference(NNF_transformation,[status(thm)],[f284]) ).
fof(f704,plain,
( ! [X,Y] :
( Y = X
| less(Y,X)
| less(X,Y) )
& ! [X,Y] :
( ( Y != X
& ~ less(Y,X) )
| ~ less(X,Y) ) ),
inference(miniscoping,[status(thm)],[f703]) ).
fof(f706,plain,
! [X0,X1] :
( X1 != X0
| ~ less(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f704]) ).
fof(f861,plain,
! [X] :
( ~ sum(n21,X,n21)
& less(X,n1)
& less(nn1,X) ),
inference(pre_NNF_transformation,[status(thm)],[f403]) ).
fof(f862,plain,
( ! [X] : ~ sum(n21,X,n21)
& ! [X] : less(X,n1)
& ! [X] : less(nn1,X) ),
inference(miniscoping,[status(thm)],[f861]) ).
fof(f863,plain,
! [X0] : less(nn1,X0),
inference(cnf_transformation,[status(thm)],[f862]) ).
fof(f866,plain,
! [X0] : ~ less(X0,X0),
inference(destructive_equality_resolution,[status(thm)],[f706]) ).
fof(f868,plain,
$false,
inference(resolution,[status(thm)],[f866,f863]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM343+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.05 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.40 % Computer : n010.cluster.edu
% 0.14/0.40 % Model : x86_64 x86_64
% 0.14/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.40 % Memory : 8046.5625MB
% 0.14/0.40 % OS : Linux 6.8.0-71-generic
% 0.14/0.40 % CPULimit : 300
% 0.14/0.40 % WCLimit : 300
% 0.14/0.40 % DateTime : Mon Sep 21 02:23:09 UTC 2026
% 0.14/0.41 % CPUTime :
% 0.18/0.44 % Drodi V4.1.1
% 0.18/0.48 % Refutation found
% 0.18/0.48 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.18/0.48 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.18/0.54 % Elapsed time: 0.119797 seconds
% 0.18/0.54 % CPU time: 0.114454 seconds
% 0.18/0.54 % Total memory used: 3.032 MB
% 0.18/0.54 % Net memory used: 3.029 MB
%------------------------------------------------------------------------------