%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : NUM615+3 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n026.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 01:41:12 PM UTC 2026
% Result : Theorem 0.15s 0.76s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 2
% Syntax : Number of formulae : 11 ( 5 unt; 0 def)
% Number of atoms : 23 ( 12 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 21 ( 9 ~; 5 |; 7 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-2 aty)
% Number of variables : 5 ( 2 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f106,hypothesis,
? [W0] :
( sdtlpdtrp0(xe,W0) = xp
& aElementOf0(W0,sdtlbdtrb0(xd,szDzizrdt0(xd))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f111,conjecture,
? [W0] :
( sdtlpdtrp0(xe,W0) = xp
& ( aElementOf0(W0,sdtlbdtrb0(xd,szDzizrdt0(xd)))
| ( sdtlpdtrp0(xd,W0) = szDzizrdt0(xd)
& aElementOf0(W0,szDzozmdt0(xd)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f112,negated_conjecture,
~ ? [W0] :
( sdtlpdtrp0(xe,W0) = xp
& ( aElementOf0(W0,sdtlbdtrb0(xd,szDzizrdt0(xd)))
| ( sdtlpdtrp0(xd,W0) = szDzizrdt0(xd)
& aElementOf0(W0,szDzozmdt0(xd)) ) ) ),
inference(negated_conjecture,[status(cth)],[f111]) ).
fof(f635,plain,
( sdtlpdtrp0(xe,sK37_skl) = xp
& aElementOf0(sK37_skl,sdtlbdtrb0(xd,szDzizrdt0(xd))) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK37_skl]),skolemize(W0,sK37_skl)],[f106]) ).
fof(f636,plain,
aElementOf0(sK37_skl,sdtlbdtrb0(xd,szDzizrdt0(xd))),
inference(cnf_transformation,[status(thm)],[f635]) ).
fof(f637,plain,
sdtlpdtrp0(xe,sK37_skl) = xp,
inference(cnf_transformation,[status(thm)],[f635]) ).
fof(f646,plain,
! [W0] :
( sdtlpdtrp0(xe,W0) != xp
| ( ~ aElementOf0(W0,sdtlbdtrb0(xd,szDzizrdt0(xd)))
& ( sdtlpdtrp0(xd,W0) != szDzizrdt0(xd)
| ~ aElementOf0(W0,szDzozmdt0(xd)) ) ) ),
inference(pre_NNF_transformation,[status(thm)],[f112]) ).
fof(f648,plain,
! [X0] :
( sdtlpdtrp0(xe,X0) != xp
| ~ aElementOf0(X0,sdtlbdtrb0(xd,szDzizrdt0(xd))) ),
inference(cnf_transformation,[status(thm)],[f646]) ).
fof(f912,plain,
sdtlpdtrp0(xe,sK37_skl) != xp,
inference(resolution,[status(thm)],[f636,f648]) ).
fof(f915,plain,
xp != xp,
inference(forward_demodulation,[status(thm)],[f637,f912]) ).
fof(f916,plain,
$false,
inference(trivial_equality_resolution,[status(thm)],[f915]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM615+3 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.53 % Computer : n026.cluster.edu
% 0.10/0.53 % Model : x86_64 x86_64
% 0.10/0.53 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.53 % Memory : 8046.5625MB
% 0.10/0.53 % OS : Linux 6.8.0-71-generic
% 0.10/0.53 % CPULimit : 300
% 0.10/0.53 % WCLimit : 300
% 0.10/0.53 % DateTime : Mon Sep 21 02:47:53 UTC 2026
% 0.10/0.53 % CPUTime :
% 0.15/0.56 % Drodi V4.1.1
% 0.15/0.76 % Refutation found
% 0.15/0.76 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.15/0.76 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.15/0.78 % Elapsed time: 0.229494 seconds
% 0.15/0.78 % CPU time: 1.439895 seconds
% 0.15/0.78 % Total memory used: 145.123 MB
% 0.15/0.78 % Net memory used: 143.473 MB
%------------------------------------------------------------------------------