%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : NUM472+2 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n018.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 01:40:39 PM UTC 2026
% Result : Theorem 0.02s 0.40s
% Output : CNFRefutation 0.02s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 2
% Syntax : Number of formulae : 8 ( 3 unt; 0 def)
% Number of atoms : 17 ( 4 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 16 ( 7 ~; 4 |; 5 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 4 ( 2 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f34,hypothesis,
( aNaturalNumber0(xn)
& aNaturalNumber0(xm)
& aNaturalNumber0(xl) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f39,conjecture,
( sdtlseqdt0(xm,sdtpldt0(xm,xn))
| ? [W0] :
( sdtpldt0(xm,W0) = sdtpldt0(xm,xn)
& aNaturalNumber0(W0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f40,negated_conjecture,
~ ( sdtlseqdt0(xm,sdtpldt0(xm,xn))
| ? [W0] :
( sdtpldt0(xm,W0) = sdtpldt0(xm,xn)
& aNaturalNumber0(W0) ) ),
inference(negated_conjecture,[status(cth)],[f39]) ).
fof(f140,plain,
aNaturalNumber0(xn),
inference(cnf_transformation,[status(thm)],[f34]) ).
fof(f155,plain,
( ~ sdtlseqdt0(xm,sdtpldt0(xm,xn))
& ! [W0] :
( sdtpldt0(xm,W0) != sdtpldt0(xm,xn)
| ~ aNaturalNumber0(W0) ) ),
inference(pre_NNF_transformation,[status(thm)],[f40]) ).
fof(f156,plain,
! [X0] :
( sdtpldt0(xm,X0) != sdtpldt0(xm,xn)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[status(thm)],[f155]) ).
fof(f168,plain,
~ aNaturalNumber0(xn),
inference(equality_resolution,[status(thm)],[f156]) ).
fof(f169,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f140,f168]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : NUM472+2 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.03 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n018.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Mon Sep 21 02:35:14 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.02/0.37 % Drodi V4.1.1
% 0.02/0.40 % Refutation found
% 0.02/0.40 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.02/0.40 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.02/0.44 % Elapsed time: 0.059358 seconds
% 0.02/0.44 % CPU time: 0.143736 seconds
% 0.02/0.44 % Total memory used: 103.700 MB
% 0.02/0.44 % Net memory used: 103.650 MB
%------------------------------------------------------------------------------