%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SEU116+1 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n002.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 02:19:15 PM UTC 2026
% Result : Theorem 0.12s 0.39s
% Output : CNFRefutation 0.12s
% 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 : 17 ( 8 ~; 3 |; 3 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-1 aty)
% Number of variables : 16 ( 12 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f21,axiom,
! [A,B] :
( element(B,finite_subsets(A))
=> finite(B) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f31,conjecture,
! [A,B] :
( element(B,finite_subsets(A))
=> finite(B) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f32,negated_conjecture,
~ ! [A,B] :
( element(B,finite_subsets(A))
=> finite(B) ),
inference(negated_conjecture,[status(cth)],[f31]) ).
fof(f83,plain,
! [A,B] :
( finite(B)
| ~ element(B,finite_subsets(A)) ),
inference(pre_NNF_transformation,[status(thm)],[f21]) ).
fof(f84,plain,
! [B] :
( finite(B)
| ! [A] : ~ element(B,finite_subsets(A)) ),
inference(miniscoping,[status(thm)],[f83]) ).
fof(f85,plain,
! [X0,X1] :
( finite(X0)
| ~ element(X0,finite_subsets(X1)) ),
inference(cnf_transformation,[status(thm)],[f84]) ).
fof(f127,plain,
? [A,B] :
( ~ finite(B)
& element(B,finite_subsets(A)) ),
inference(pre_NNF_transformation,[status(thm)],[f32]) ).
fof(f128,plain,
? [B] :
( ~ finite(B)
& ? [A] : element(B,finite_subsets(A)) ),
inference(miniscoping,[status(thm)],[f127]) ).
fof(f129,plain,
( ~ finite(sK10_skl)
& element(sK10_skl,finite_subsets(sK11_skl)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK10_skl,sK11_skl]),skolemize(B,sK10_skl),skolemize(A,sK11_skl)],[f128]) ).
fof(f130,plain,
element(sK10_skl,finite_subsets(sK11_skl)),
inference(cnf_transformation,[status(thm)],[f129]) ).
fof(f131,plain,
~ finite(sK10_skl),
inference(cnf_transformation,[status(thm)],[f129]) ).
fof(f132,plain,
finite(sK10_skl),
inference(resolution,[status(thm)],[f85,f130]) ).
fof(f133,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f132,f131]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SEU116+1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.03 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n002.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Mon Sep 21 05:53:47 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.36 % Drodi V4.1.1
% 0.12/0.39 % Refutation found
% 0.12/0.39 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.12/0.39 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.12/0.41 % Elapsed time: 0.048559 seconds
% 0.12/0.41 % CPU time: 0.142157 seconds
% 0.12/0.41 % Total memory used: 81.240 MB
% 0.12/0.41 % Net memory used: 81.210 MB
%------------------------------------------------------------------------------