%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SEU295+3 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n018.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 02:20:04 PM UTC 2026
% Result : Theorem 0.13s 0.39s
% Output : CNFRefutation 0.13s
% 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(f16,axiom,
! [A,B] :
( finite(A)
=> finite(set_intersection2(A,B)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f52,conjecture,
! [A,B] :
( finite(A)
=> finite(set_intersection2(A,B)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f53,negated_conjecture,
~ ! [A,B] :
( finite(A)
=> finite(set_intersection2(A,B)) ),
inference(negated_conjecture,[status(cth)],[f52]) ).
fof(f107,plain,
! [A,B] :
( finite(set_intersection2(A,B))
| ~ finite(A) ),
inference(pre_NNF_transformation,[status(thm)],[f16]) ).
fof(f108,plain,
! [A] :
( ! [B] : finite(set_intersection2(A,B))
| ~ finite(A) ),
inference(miniscoping,[status(thm)],[f107]) ).
fof(f109,plain,
! [X0,X1] :
( finite(set_intersection2(X0,X1))
| ~ finite(X0) ),
inference(cnf_transformation,[status(thm)],[f108]) ).
fof(f247,plain,
? [A,B] :
( ~ finite(set_intersection2(A,B))
& finite(A) ),
inference(pre_NNF_transformation,[status(thm)],[f53]) ).
fof(f248,plain,
? [A] :
( ? [B] : ~ finite(set_intersection2(A,B))
& finite(A) ),
inference(miniscoping,[status(thm)],[f247]) ).
fof(f249,plain,
( ~ finite(set_intersection2(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)],[f248]) ).
fof(f250,plain,
finite(sK26_skl),
inference(cnf_transformation,[status(thm)],[f249]) ).
fof(f251,plain,
~ finite(set_intersection2(sK26_skl,sK27_skl)),
inference(cnf_transformation,[status(thm)],[f249]) ).
fof(f309,plain,
~ finite(sK26_skl),
inference(resolution,[status(thm)],[f109,f251]) ).
fof(f315,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f309,f250]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SEU295+3 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n018.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Mon Sep 21 06:10:59 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.38 % Drodi V4.1.1
% 0.13/0.39 % Refutation found
% 0.13/0.39 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.13/0.39 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.13/0.42 % Elapsed time: 0.047971 seconds
% 0.13/0.42 % CPU time: 0.114637 seconds
% 0.13/0.42 % Total memory used: 65.992 MB
% 0.13/0.42 % Net memory used: 65.976 MB
%------------------------------------------------------------------------------