%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SEU295+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 : n012.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 0.12s 0.40s
% Output : CNFRefutation 0.12s
% 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(f12,axiom,
! [A,B] : set_intersection2(A,B) = set_intersection2(B,A),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f18,axiom,
! [A,B] :
( finite(B)
=> finite(set_intersection2(A,B)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f47,conjecture,
! [A,B] :
( finite(A)
=> finite(set_intersection2(A,B)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f48,negated_conjecture,
~ ! [A,B] :
( finite(A)
=> finite(set_intersection2(A,B)) ),
inference(negated_conjecture,[status(cth)],[f47]) ).
fof(f91,plain,
! [X0,X1] : set_intersection2(X0,X1) = set_intersection2(X1,X0),
inference(cnf_transformation,[status(thm)],[f12]) ).
fof(f94,plain,
! [A,B] :
( finite(set_intersection2(A,B))
| ~ finite(B) ),
inference(pre_NNF_transformation,[status(thm)],[f18]) ).
fof(f95,plain,
! [B] :
( ! [A] : finite(set_intersection2(A,B))
| ~ finite(B) ),
inference(miniscoping,[status(thm)],[f94]) ).
fof(f96,plain,
! [X0,X1] :
( finite(set_intersection2(X1,X0))
| ~ finite(X0) ),
inference(cnf_transformation,[status(thm)],[f95]) ).
fof(f201,plain,
? [A,B] :
( ~ finite(set_intersection2(A,B))
& finite(A) ),
inference(pre_NNF_transformation,[status(thm)],[f48]) ).
fof(f202,plain,
? [A] :
( ? [B] : ~ finite(set_intersection2(A,B))
& finite(A) ),
inference(miniscoping,[status(thm)],[f201]) ).
fof(f203,plain,
( ~ finite(set_intersection2(sK19_skl,sK20_skl))
& finite(sK19_skl) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK19_skl,sK20_skl]),skolemize(A,sK19_skl),skolemize(B,sK20_skl)],[f202]) ).
fof(f204,plain,
finite(sK19_skl),
inference(cnf_transformation,[status(thm)],[f203]) ).
fof(f205,plain,
~ finite(set_intersection2(sK19_skl,sK20_skl)),
inference(cnf_transformation,[status(thm)],[f203]) ).
fof(f238,plain,
~ finite(set_intersection2(sK20_skl,sK19_skl)),
inference(paramodulation,[status(thm)],[f91,f205]) ).
fof(f250,plain,
~ finite(sK19_skl),
inference(resolution,[status(thm)],[f96,f238]) ).
fof(f257,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f250,f204]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SEU295+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.03 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n012.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 06:08:23 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.12/0.37 % Drodi V4.1.1
% 0.12/0.40 % Refutation found
% 0.12/0.40 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.12/0.40 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.12/0.42 % Elapsed time: 0.051335 seconds
% 0.12/0.42 % CPU time: 0.056451 seconds
% 0.12/0.42 % Total memory used: 3.290 MB
% 0.12/0.42 % Net memory used: 3.289 MB
%------------------------------------------------------------------------------