%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SEU085+1 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n017.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 02:19:12 PM UTC 2026
% Result : Theorem 0.22s 5.50s
% Output : CNFRefutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 2
% Syntax : Number of formulae : 13 ( 4 unt; 0 def)
% Number of atoms : 22 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 18 ( 9 ~; 3 |; 3 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-1 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 16 ( 12 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f14,axiom,
! [A,B] :
( finite(A)
=> finite(set_difference(A,B)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f49,conjecture,
! [A,B] :
( finite(A)
=> finite(set_difference(A,B)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f50,negated_conjecture,
~ ! [A,B] :
( finite(A)
=> finite(set_difference(A,B)) ),
inference(negated_conjecture,[status(cth)],[f49]) ).
fof(f101,plain,
! [A,B] :
( finite(set_difference(A,B))
| ~ finite(A) ),
inference(pre_NNF_transformation,[status(thm)],[f14]) ).
fof(f102,plain,
! [A] :
( ! [B] : finite(set_difference(A,B))
| ~ finite(A) ),
inference(miniscoping,[status(thm)],[f101]) ).
fof(f103,plain,
! [X0,X1] :
( finite(set_difference(X0,X1))
| ~ finite(X0) ),
inference(cnf_transformation,[status(thm)],[f102]) ).
fof(f239,plain,
? [A,B] :
( ~ finite(set_difference(A,B))
& finite(A) ),
inference(pre_NNF_transformation,[status(thm)],[f50]) ).
fof(f240,plain,
? [A] :
( ? [B] : ~ finite(set_difference(A,B))
& finite(A) ),
inference(miniscoping,[status(thm)],[f239]) ).
fof(f241,plain,
( ~ finite(set_difference(sK26_skl,sK27_skl))
& finite(sK26_skl) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK26_skl,sK27_skl]),skolemize(A,sK26_skl),skolemize(B,sK27_skl)],[f240]) ).
fof(f242,plain,
finite(sK26_skl),
inference(cnf_transformation,[status(thm)],[f241]) ).
fof(f243,plain,
~ finite(set_difference(sK26_skl,sK27_skl)),
inference(cnf_transformation,[status(thm)],[f241]) ).
fof(f271,plain,
~ finite(sK26_skl),
inference(resolution,[status(thm)],[f103,f243]) ).
fof(f274,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f271,f242]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SEU085+1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.06 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.16/5.45 % Computer : n017.cluster.edu
% 0.16/5.45 % Model : x86_64 x86_64
% 0.16/5.45 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/5.45 % Memory : 8046.5625MB
% 0.16/5.45 % OS : Linux 6.8.0-71-generic
% 0.16/5.45 % CPULimit : 300
% 0.16/5.45 % WCLimit : 300
% 0.16/5.45 % DateTime : Mon Sep 21 05:45:04 UTC 2026
% 0.16/5.46 % CPUTime :
% 0.16/5.48 % Drodi V4.1.1
% 0.22/5.50 % Refutation found
% 0.22/5.50 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.22/5.50 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.22/5.54 % Elapsed time: 0.061319 seconds
% 0.22/5.54 % CPU time: 0.162724 seconds
% 0.22/5.54 % Total memory used: 62.614 MB
% 0.22/5.54 % Net memory used: 62.602 MB
%------------------------------------------------------------------------------