%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SEU295+2 : TPTP v9.3.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n013.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 0.21s 0.60s
% Output : CNFRefutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 3
% Syntax : Number of formulae : 16 ( 7 unt; 0 def)
% Number of atoms : 25 ( 2 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 19 ( 10 ~; 3 |; 3 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 20 ( 16 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f16,axiom,
! [A,B] : set_intersection2(A,B) = set_intersection2(B,A),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f128,axiom,
! [A,B] :
( finite(B)
=> finite(set_intersection2(A,B)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f261,conjecture,
! [A,B] :
( finite(A)
=> finite(set_intersection2(A,B)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f262,negated_conjecture,
~ ! [A,B] :
( finite(A)
=> finite(set_intersection2(A,B)) ),
inference(negated_conjecture,[status(cth)],[f261]) ).
fof(f439,plain,
! [X0,X1] : set_intersection2(X0,X1) = set_intersection2(X1,X0),
inference(cnf_transformation,[status(thm)],[f16]) ).
fof(f966,plain,
! [A,B] :
( finite(set_intersection2(A,B))
| ~ finite(B) ),
inference(pre_NNF_transformation,[status(thm)],[f128]) ).
fof(f967,plain,
! [B] :
( ! [A] : finite(set_intersection2(A,B))
| ~ finite(B) ),
inference(miniscoping,[status(thm)],[f966]) ).
fof(f968,plain,
! [X0,X1] :
( finite(set_intersection2(X1,X0))
| ~ finite(X0) ),
inference(cnf_transformation,[status(thm)],[f967]) ).
fof(f1540,plain,
? [A,B] :
( ~ finite(set_intersection2(A,B))
& finite(A) ),
inference(pre_NNF_transformation,[status(thm)],[f262]) ).
fof(f1541,plain,
? [A] :
( ? [B] : ~ finite(set_intersection2(A,B))
& finite(A) ),
inference(miniscoping,[status(thm)],[f1540]) ).
fof(f1542,plain,
( ~ finite(set_intersection2(sK201_skl,sK202_skl))
& finite(sK201_skl) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK201_skl,sK202_skl]),skolemize(A,sK201_skl),skolemize(B,sK202_skl)],[f1541]) ).
fof(f1543,plain,
finite(sK201_skl),
inference(cnf_transformation,[status(thm)],[f1542]) ).
fof(f1544,plain,
~ finite(set_intersection2(sK201_skl,sK202_skl)),
inference(cnf_transformation,[status(thm)],[f1542]) ).
fof(f2406,plain,
~ finite(set_intersection2(sK202_skl,sK201_skl)),
inference(paramodulation,[status(thm)],[f439,f1544]) ).
fof(f2437,plain,
~ finite(sK201_skl),
inference(resolution,[status(thm)],[f968,f2406]) ).
fof(f2444,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f2437,f1543]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SEU295+2 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.06 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.17/0.48 % Computer : n013.cluster.edu
% 0.17/0.48 % Model : x86_64 x86_64
% 0.17/0.48 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.48 % Memory : 8046.5625MB
% 0.17/0.48 % OS : Linux 6.8.0-71-generic
% 0.17/0.49 % CPULimit : 300
% 0.17/0.49 % WCLimit : 300
% 0.17/0.49 % DateTime : Mon Sep 21 06:08:21 UTC 2026
% 0.17/0.49 % CPUTime :
% 0.21/0.56 % Drodi V4.1.1
% 0.21/0.60 % Refutation found
% 0.21/0.60 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.21/0.60 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.29/0.69 % Elapsed time: 0.193578 seconds
% 0.29/0.69 % CPU time: 0.238197 seconds
% 0.29/0.69 % Total memory used: 37.913 MB
% 0.29/0.69 % Net memory used: 37.667 MB
%------------------------------------------------------------------------------