%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : NUM625+3 : 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 01:41:14 PM UTC 2026
% Result : Theorem 0.27s 0.53s
% Output : CNFRefutation 0.27s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 3
% Syntax : Number of formulae : 10 ( 7 unt; 0 def)
% Number of atoms : 19 ( 9 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 13 ( 4 ~; 1 |; 7 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-1 aty)
% Number of variables : 2 ( 2 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f103,hypothesis,
( xp = szmzizndt0(xQ)
& ! [W0] :
( aElementOf0(W0,xQ)
=> sdtlseqdt0(xp,W0) )
& aElementOf0(xp,xQ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f113,hypothesis,
( aElementOf0(xx,xP)
& xx != szmzizndt0(xQ)
& aElementOf0(xx,xQ)
& aElement0(xx) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f120,hypothesis,
xp = xx,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f630,plain,
( xp = szmzizndt0(xQ)
& ! [W0] :
( sdtlseqdt0(xp,W0)
| ~ aElementOf0(W0,xQ) )
& aElementOf0(xp,xQ) ),
inference(pre_NNF_transformation,[status(thm)],[f103]) ).
fof(f633,plain,
xp = szmzizndt0(xQ),
inference(cnf_transformation,[status(thm)],[f630]) ).
fof(f664,plain,
xx != szmzizndt0(xQ),
inference(cnf_transformation,[status(thm)],[f113]) ).
fof(f684,plain,
xp = xx,
inference(cnf_transformation,[status(thm)],[f120]) ).
fof(f1075,plain,
xx = szmzizndt0(xQ),
inference(forward_demodulation,[status(thm)],[f684,f633]) ).
fof(f1164,plain,
xx != xx,
inference(forward_demodulation,[status(thm)],[f1075,f664]) ).
fof(f1165,plain,
$false,
inference(trivial_equality_resolution,[status(thm)],[f1164]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : NUM625+3 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.07 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.44 % Computer : n001.cluster.edu
% 0.20/0.44 % Model : x86_64 x86_64
% 0.20/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.20/0.44 % Memory : 8046.5625MB
% 0.20/0.44 % OS : Linux 6.8.0-71-generic
% 0.20/0.45 % CPULimit : 300
% 0.20/0.45 % WCLimit : 300
% 0.20/0.45 % DateTime : Mon Sep 21 02:51:28 UTC 2026
% 0.20/0.45 % CPUTime :
% 0.20/0.49 % Drodi V4.1.1
% 0.27/0.53 % Refutation found
% 0.27/0.53 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.27/0.53 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.27/0.55 % Elapsed time: 0.092298 seconds
% 0.27/0.55 % CPU time: 0.234212 seconds
% 0.27/0.55 % Total memory used: 67.791 MB
% 0.27/0.55 % Net memory used: 67.568 MB
%------------------------------------------------------------------------------