%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : NUM615+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n005.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 0.11s 0.47s
% Output : CNFRefutation 0.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 3
% Syntax : Number of formulae : 15 ( 6 unt; 0 def)
% Number of atoms : 30 ( 9 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 26 ( 11 ~; 6 |; 8 &)
% ( 0 <=>; 1 =>; 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 : 9 ( 9 usr; 5 con; 0-2 aty)
% Number of variables : 11 ( 7 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f97,hypothesis,
! [W0] :
( aElementOf0(W0,xO)
=> ? [W1] :
( sdtlpdtrp0(xe,W1) = W0
& aElementOf0(W1,sdtlbdtrb0(xd,szDzizrdt0(xd)))
& aElementOf0(W1,szNzAzT0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f106,hypothesis,
aElementOf0(xp,xO),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f111,conjecture,
? [W0] :
( sdtlpdtrp0(xe,W0) = xp
& aElementOf0(W0,sdtlbdtrb0(xd,szDzizrdt0(xd))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f112,negated_conjecture,
~ ? [W0] :
( sdtlpdtrp0(xe,W0) = xp
& aElementOf0(W0,sdtlbdtrb0(xd,szDzizrdt0(xd))) ),
inference(negated_conjecture,[status(cth)],[f111]) ).
fof(f437,plain,
! [W0] :
( ? [W1] :
( sdtlpdtrp0(xe,W1) = W0
& aElementOf0(W1,sdtlbdtrb0(xd,szDzizrdt0(xd)))
& aElementOf0(W1,szNzAzT0) )
| ~ aElementOf0(W0,xO) ),
inference(pre_NNF_transformation,[status(thm)],[f97]) ).
fof(f438,plain,
! [W0] :
( ( sdtlpdtrp0(xe,sK24_skl(W0)) = W0
& aElementOf0(sK24_skl(W0),sdtlbdtrb0(xd,szDzizrdt0(xd)))
& aElementOf0(sK24_skl(W0),szNzAzT0) )
| ~ aElementOf0(W0,xO) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK24_skl]),skolemize(W1,sK24_skl(W0))],[f437]) ).
fof(f440,plain,
! [X0] :
( aElementOf0(sK24_skl(X0),sdtlbdtrb0(xd,szDzizrdt0(xd)))
| ~ aElementOf0(X0,xO) ),
inference(cnf_transformation,[status(thm)],[f438]) ).
fof(f441,plain,
! [X0] :
( sdtlpdtrp0(xe,sK24_skl(X0)) = X0
| ~ aElementOf0(X0,xO) ),
inference(cnf_transformation,[status(thm)],[f438]) ).
fof(f452,plain,
aElementOf0(xp,xO),
inference(cnf_transformation,[status(thm)],[f106]) ).
fof(f457,plain,
! [W0] :
( sdtlpdtrp0(xe,W0) != xp
| ~ aElementOf0(W0,sdtlbdtrb0(xd,szDzizrdt0(xd))) ),
inference(pre_NNF_transformation,[status(thm)],[f112]) ).
fof(f458,plain,
! [X0] :
( sdtlpdtrp0(xe,X0) != xp
| ~ aElementOf0(X0,sdtlbdtrb0(xd,szDzizrdt0(xd))) ),
inference(cnf_transformation,[status(thm)],[f457]) ).
fof(f1539,plain,
sdtlpdtrp0(xe,sK24_skl(xp)) = xp,
inference(resolution,[status(thm)],[f441,f452]) ).
fof(f1540,plain,
~ aElementOf0(sK24_skl(xp),sdtlbdtrb0(xd,szDzizrdt0(xd))),
inference(resolution,[status(thm)],[f1539,f458]) ).
fof(f1566,plain,
~ aElementOf0(xp,xO),
inference(resolution,[status(thm)],[f1540,f440]) ).
fof(f1567,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f1566,f452]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : NUM615+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.07/0.34 % Computer : n005.cluster.edu
% 0.07/0.34 % Model : x86_64 x86_64
% 0.07/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.34 % Memory : 8046.5625MB
% 0.07/0.34 % OS : Linux 6.8.0-71-generic
% 0.07/0.34 % CPULimit : 300
% 0.07/0.34 % WCLimit : 300
% 0.07/0.34 % DateTime : Mon Sep 21 02:44:33 UTC 2026
% 0.07/0.34 % CPUTime :
% 0.07/0.36 % Drodi V4.1.1
% 0.11/0.47 % Refutation found
% 0.11/0.47 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.11/0.47 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.11/0.49 % Elapsed time: 0.139729 seconds
% 0.11/0.49 % CPU time: 0.793669 seconds
% 0.11/0.49 % Total memory used: 125.003 MB
% 0.11/0.49 % Net memory used: 124.006 MB
%------------------------------------------------------------------------------