%------------------------------------------------------------------------------
% File : ConnectPP---0.7.2
% Problem : NUM564+3 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n019.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 08:52:39 AM UTC 2026
% Result : Theorem 34.14s 34.65s
% Output : Proof 34.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 1
% Syntax : Number of formulae : 11 ( 5 unt; 0 def)
% Number of atoms : 41 ( 0 equ)
% Maximal formula atoms : 6 ( 3 avg)
% Number of connectives : 51 ( 21 ~; 4 |; 23 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 11 ( 1 sgn 6 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(m__,conjecture,
( ( ~ ? [W0] : aElementOf0(W0,slcrc0)
& aSet0(slcrc0) )
=> ( aElementOf0(slcrc0,slbdtsldtrb0(xS,sz00))
| aSubsetOf0(slcrc0,xS)
| ! [W0] :
( aElementOf0(W0,slcrc0)
=> aElementOf0(W0,xS) ) ) ),
file('theBenchmark.p',m__) ).
fof(f_79_1,negated_conjecture,
( ~ ( aElementOf0(slcrc0,slbdtsldtrb0(xS,sz00))
| aSubsetOf0(slcrc0,xS)
| ! [W0] :
( aElementOf0(W0,slcrc0)
=> aElementOf0(W0,xS) ) )
& ~ ? [W0] : aElementOf0(W0,slcrc0)
& aSet0(slcrc0) ),
inference(negate,[status(cth)],[m__]) ).
fof(f_79_2,negated_conjecture,
( ~ aElementOf0(slcrc0,slbdtsldtrb0(xS,sz00))
& ~ aSubsetOf0(slcrc0,xS)
& ? [W0] :
( ~ aElementOf0(W0,xS)
& aElementOf0(W0,slcrc0) )
& ! [W0] : ~ aElementOf0(W0,slcrc0)
& aSet0(slcrc0) ),
inference(fof_nnf,[status(thm)],[f_79_1]) ).
fof(f_79_3,negated_conjecture,
( ~ aElementOf0(slcrc0,slbdtsldtrb0(xS,sz00))
& ~ aSubsetOf0(slcrc0,xS)
& ? [U_232] :
( ~ aElementOf0(U_232,xS)
& aElementOf0(U_232,slcrc0) )
& ! [U_231] : ~ aElementOf0(U_231,slcrc0)
& aSet0(slcrc0) ),
inference(variable_rename,[status(thm)],[f_79_2]) ).
fof(f_79_4,negated_conjecture,
( ~ aElementOf0(slcrc0,slbdtsldtrb0(xS,sz00))
& ~ aSubsetOf0(slcrc0,xS)
& ~ aElementOf0(sK37,xS)
& aElementOf0(sK37,slcrc0)
& ! [U_231] : ~ aElementOf0(U_231,slcrc0)
& aSet0(slcrc0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK37]),skolemize(U_232,sK37)],[f_79_3]) ).
fof(f_79_5,negated_conjecture,
( ~ aElementOf0(slcrc0,slbdtsldtrb0(xS,sz00))
& ~ aSubsetOf0(slcrc0,xS)
& ~ aElementOf0(sK37,xS)
& aElementOf0(sK37,slcrc0)
& ! [U_231] : ~ aElementOf0(U_231,slcrc0)
& aSet0(slcrc0) ),
inference(definitional_conversion,[status(esa)],[f_79_4]) ).
cnf(f_79_7,negated_conjecture,
~ aElementOf0(U_231,slcrc0),
inference(clausify,[status(thm)],[f_79_5]) ).
cnf(f_79_8,negated_conjecture,
aElementOf0(sK37,slcrc0),
inference(clausify,[status(thm)],[f_79_5]) ).
cnf(t1,plain,
~ aElementOf0(sK37,slcrc0),
inference(start,[status(thm),parent(0:0)],[f_79_7]) ).
cnf(t2,plain,
aElementOf0(sK37,slcrc0),
inference(extension,[status(thm),parent(t1:1)],[f_79_8]) ).
cnf(t3,plain,
$false,
inference(connection,[status(thm),parent(t2:1)],[t2:1,t1:1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : NUM564+3 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.03 This is a FOF_THM_RFO_SEQ problem
% 0.00/0.04 % Command : /export/starexec/sandbox2/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.57 % Computer : n019.cluster.edu
% 0.10/0.57 % Model : x86_64 x86_64
% 0.10/0.57 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.57 % Memory : 8046.5625MB
% 0.10/0.57 % OS : Linux 6.8.0-71-generic
% 0.10/0.57 % CPULimit : 300
% 0.10/0.57 % WCLimit : 300
% 0.10/0.57 % DateTime : Sat Sep 19 18:48:52 UTC 2026
% 0.10/0.57 % CPUTime :
% 34.14/34.65 % SZS status Theorem for theBenchmark
% 34.14/34.65 % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------