%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SET910+1 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n016.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 02:10:57 PM UTC 2026
% Result : Theorem 0.08s 0.39s
% Output : CNFRefutation 0.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 2
% Syntax : Number of formulae : 11 ( 4 unt; 0 def)
% Number of atoms : 18 ( 8 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 13 ( 6 ~; 2 |; 2 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 12 ( 10 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f6,conjecture,
! [A,B] :
( set_intersection2(A,singleton(B)) = singleton(B)
=> in(B,A) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f7,negated_conjecture,
~ ! [A,B] :
( set_intersection2(A,singleton(B)) = singleton(B)
=> in(B,A) ),
inference(negated_conjecture,[status(cth)],[f6]) ).
fof(f8,axiom,
! [A,B] :
( set_intersection2(A,singleton(B)) = singleton(B)
=> in(B,A) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f18,plain,
? [A,B] :
( ~ in(B,A)
& set_intersection2(A,singleton(B)) = singleton(B) ),
inference(pre_NNF_transformation,[status(thm)],[f7]) ).
fof(f19,plain,
( ~ in(sK3_skl,sK2_skl)
& set_intersection2(sK2_skl,singleton(sK3_skl)) = singleton(sK3_skl) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2_skl,sK3_skl]),skolemize(A,sK2_skl),skolemize(B,sK3_skl)],[f18]) ).
fof(f20,plain,
set_intersection2(sK2_skl,singleton(sK3_skl)) = singleton(sK3_skl),
inference(cnf_transformation,[status(thm)],[f19]) ).
fof(f21,plain,
~ in(sK3_skl,sK2_skl),
inference(cnf_transformation,[status(thm)],[f19]) ).
fof(f22,plain,
! [A,B] :
( in(B,A)
| set_intersection2(A,singleton(B)) != singleton(B) ),
inference(pre_NNF_transformation,[status(thm)],[f8]) ).
fof(f23,plain,
! [X0,X1] :
( in(X1,X0)
| set_intersection2(X0,singleton(X1)) != singleton(X1) ),
inference(cnf_transformation,[status(thm)],[f22]) ).
fof(f28,plain,
in(sK3_skl,sK2_skl),
inference(resolution,[status(thm)],[f23,f20]) ).
fof(f34,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f28,f21]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SET910+1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.03 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n016.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 05:47:53 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.08/0.37 % Drodi V4.1.1
% 0.08/0.39 % Refutation found
% 0.08/0.39 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.08/0.39 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.08/0.42 % Elapsed time: 0.059037 seconds
% 0.08/0.42 % CPU time: 0.151779 seconds
% 0.08/0.42 % Total memory used: 41.417 MB
% 0.08/0.42 % Net memory used: 41.099 MB
%------------------------------------------------------------------------------