%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SEU294+1 : TPTP v9.3.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n020.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 02:20:03 PM UTC 2026
% Result : Theorem 0.10s 0.41s
% Output : CNFRefutation 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 3
% Syntax : Number of formulae : 19 ( 5 unt; 0 def)
% Number of atoms : 45 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 45 ( 19 ~; 11 |; 10 &)
% ( 1 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-1 aty)
% Number of variables : 26 ( 22 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f8,axiom,
! [A] :
( finite(A)
=> ! [B] :
( element(B,powerset(A))
=> finite(B) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f40,conjecture,
! [A,B] :
( ( finite(B)
& subset(A,B) )
=> finite(A) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f41,negated_conjecture,
~ ! [A,B] :
( ( finite(B)
& subset(A,B) )
=> finite(A) ),
inference(negated_conjecture,[status(cth)],[f40]) ).
fof(f44,axiom,
! [A,B] :
( element(A,powerset(B))
<=> subset(A,B) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f70,plain,
! [A] :
( ! [B] :
( finite(B)
| ~ element(B,powerset(A)) )
| ~ finite(A) ),
inference(pre_NNF_transformation,[status(thm)],[f8]) ).
fof(f71,plain,
! [X0,X1] :
( finite(X1)
| ~ element(X1,powerset(X0))
| ~ finite(X0) ),
inference(cnf_transformation,[status(thm)],[f70]) ).
fof(f178,plain,
? [A,B] :
( ~ finite(A)
& finite(B)
& subset(A,B) ),
inference(pre_NNF_transformation,[status(thm)],[f41]) ).
fof(f179,plain,
? [A] :
( ~ finite(A)
& ? [B] :
( finite(B)
& subset(A,B) ) ),
inference(miniscoping,[status(thm)],[f178]) ).
fof(f180,plain,
( ~ finite(sK19_skl)
& finite(sK20_skl)
& subset(sK19_skl,sK20_skl) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK19_skl,sK20_skl]),skolemize(A,sK19_skl),skolemize(B,sK20_skl)],[f179]) ).
fof(f181,plain,
subset(sK19_skl,sK20_skl),
inference(cnf_transformation,[status(thm)],[f180]) ).
fof(f182,plain,
finite(sK20_skl),
inference(cnf_transformation,[status(thm)],[f180]) ).
fof(f183,plain,
~ finite(sK19_skl),
inference(cnf_transformation,[status(thm)],[f180]) ).
fof(f188,plain,
! [A,B] :
( ( ~ subset(A,B)
| element(A,powerset(B)) )
& ( subset(A,B)
| ~ element(A,powerset(B)) ) ),
inference(NNF_transformation,[status(thm)],[f44]) ).
fof(f189,plain,
( ! [A,B] :
( ~ subset(A,B)
| element(A,powerset(B)) )
& ! [A,B] :
( subset(A,B)
| ~ element(A,powerset(B)) ) ),
inference(miniscoping,[status(thm)],[f188]) ).
fof(f191,plain,
! [X0,X1] :
( ~ subset(X0,X1)
| element(X0,powerset(X1)) ),
inference(cnf_transformation,[status(thm)],[f189]) ).
fof(f207,plain,
! [X0] :
( ~ element(sK19_skl,powerset(X0))
| ~ finite(X0) ),
inference(resolution,[status(thm)],[f71,f183]) ).
fof(f208,plain,
! [X0] :
( ~ subset(sK19_skl,X0)
| ~ finite(X0) ),
inference(resolution,[status(thm)],[f207,f191]) ).
fof(f209,plain,
~ finite(sK20_skl),
inference(resolution,[status(thm)],[f208,f181]) ).
fof(f211,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f209,f182]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU294+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.37 % Computer : n020.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Mon Sep 21 06:09:18 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.39 % Drodi V4.1.1
% 0.10/0.41 % Refutation found
% 0.10/0.41 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.10/0.41 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.10/0.45 % Elapsed time: 0.059161 seconds
% 0.10/0.45 % CPU time: 0.152452 seconds
% 0.10/0.45 % Total memory used: 82.770 MB
% 0.10/0.45 % Net memory used: 82.748 MB
%------------------------------------------------------------------------------