%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : NUM632+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 : n012.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 01:41:16 PM UTC 2026
% Result : Theorem 0.03s 0.35s
% Output : CNFRefutation 0.03s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 3
% Syntax : Number of formulae : 10 ( 9 unt; 0 def)
% Number of atoms : 14 ( 10 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 7 ( 3 ~; 0 |; 4 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 7 con; 0-2 aty)
% Number of variables : 0 ( 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f111,hypothesis,
( sdtlpdtrp0(xe,xn) = xp
& aElementOf0(xn,szNzAzT0)
& aElementOf0(xn,sdtlbdtrb0(xd,szDzizrdt0(xd)))
& sdtlpdtrp0(xd,xn) = szDzizrdt0(xd)
& aElementOf0(xn,szDzozmdt0(xd)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f114,hypothesis,
sdtlpdtrp0(xc,xQ) = sdtlpdtrp0(xd,xn),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f115,conjecture,
sdtlpdtrp0(xc,xQ) = szDzizrdt0(xd),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f116,negated_conjecture,
sdtlpdtrp0(xc,xQ) != szDzizrdt0(xd),
inference(negated_conjecture,[status(cth)],[f115]) ).
fof(f651,plain,
sdtlpdtrp0(xd,xn) = szDzizrdt0(xd),
inference(cnf_transformation,[status(thm)],[f111]) ).
fof(f659,plain,
sdtlpdtrp0(xc,xQ) = sdtlpdtrp0(xd,xn),
inference(cnf_transformation,[status(thm)],[f114]) ).
fof(f660,plain,
sdtlpdtrp0(xc,xQ) != szDzizrdt0(xd),
inference(cnf_transformation,[status(thm)],[f116]) ).
fof(f924,plain,
sdtlpdtrp0(xc,xQ) = szDzizrdt0(xd),
inference(forward_demodulation,[status(thm)],[f651,f659]) ).
fof(f925,plain,
szDzizrdt0(xd) != szDzizrdt0(xd),
inference(forward_demodulation,[status(thm)],[f924,f660]) ).
fof(f926,plain,
$false,
inference(trivial_equality_resolution,[status(thm)],[f925]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : NUM632+3 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.02 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.03/0.29 % Computer : n012.cluster.edu
% 0.03/0.29 % Model : x86_64 x86_64
% 0.03/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.03/0.29 % Memory : 8046.5625MB
% 0.03/0.29 % OS : Linux 6.8.0-71-generic
% 0.03/0.29 % CPULimit : 300
% 0.03/0.29 % WCLimit : 300
% 0.03/0.29 % DateTime : Mon Sep 21 02:45:06 UTC 2026
% 0.03/0.30 % CPUTime :
% 0.03/0.32 % Drodi V4.1.1
% 0.03/0.35 % Refutation found
% 0.03/0.35 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.03/0.35 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.08/0.38 % Elapsed time: 0.073872 seconds
% 0.08/0.38 % CPU time: 0.200022 seconds
% 0.08/0.38 % Total memory used: 53.955 MB
% 0.08/0.38 % Net memory used: 53.613 MB
%------------------------------------------------------------------------------