%------------------------------------------------------------------------------
% File : ConnectPP---0.7.2
% Problem : NUM540+2 : 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 : n020.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 08:52:33 AM UTC 2026
% Result : Theorem 0.38s 0.65s
% Output : Proof 0.38s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 2
% Syntax : Number of formulae : 25 ( 10 unt; 1 def)
% Number of atoms : 71 ( 19 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 80 ( 34 ~; 20 |; 24 &)
% ( 1 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-1 aty)
% Number of variables : 29 ( 2 sgn 17 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(mDefEmp,definition,
! [W0] :
( W0 = slcrc0
<=> ( ~ ? [W1] : aElementOf0(W1,W0)
& aSet0(W0) ) ),
file('theBenchmark.p',mDefEmp) ).
fof(m__,conjecture,
( ( ! [W0] : ~ aElementOf0(W0,slbdtrb0(sz00))
& aSet0(slbdtrb0(sz00)) )
=> ( slbdtrb0(sz00) = slcrc0
| ~ ? [W0] : aElementOf0(W0,slbdtrb0(sz00)) ) ),
file('theBenchmark.p',m__) ).
fof(f_5_1,plain,
! [W0] :
( ( W0 = slcrc0
| ? [W1] : aElementOf0(W1,W0)
| ~ aSet0(W0) )
& ( ( ! [W1] : ~ aElementOf0(W1,W0)
& aSet0(W0) )
| W0 != slcrc0 ) ),
inference(fof_nnf,[status(thm)],[mDefEmp]) ).
fof(f_5_2,plain,
! [U_7] :
( ( U_7 = slcrc0
| ? [U_6] : aElementOf0(U_6,U_7)
| ~ aSet0(U_7) )
& ( ( ! [U_5] : ~ aElementOf0(U_5,U_7)
& aSet0(U_7) )
| U_7 != slcrc0 ) ),
inference(variable_rename,[status(thm)],[f_5_1]) ).
fof(f_5_3,plain,
( ! [U_9] :
( U_9 = slcrc0
| ? [U_6] : aElementOf0(U_6,U_9)
| ~ aSet0(U_9) )
& ! [U_8] :
( ( ! [U_5] : ~ aElementOf0(U_5,U_8)
& aSet0(U_8) )
| U_8 != slcrc0 ) ),
inference(miniscope,[status(thm)],[f_5_2]) ).
fof(f_5_4,plain,
( ! [U_9] :
( U_9 = slcrc0
| aElementOf0(sK1(U_9),U_9)
| ~ aSet0(U_9) )
& ! [U_8] :
( ( ! [U_5] : ~ aElementOf0(U_5,U_8)
& aSet0(U_8) )
| U_8 != slcrc0 ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(U_6,sK1(U_9))],[f_5_3]) ).
cnf(f_5_6,plain,
( ~ aElementOf0(U_5,U_8)
| U_8 != slcrc0 ),
inference(clausify,[status(thm)],[f_5_4]) ).
cnf(f_5_7,plain,
( U_9 = slcrc0
| aElementOf0(sK1(U_9),U_9)
| ~ aSet0(U_9) ),
inference(clausify,[status(thm)],[f_5_4]) ).
fof(f_52_1,negated_conjecture,
( ~ ( slbdtrb0(sz00) = slcrc0
| ~ ? [W0] : aElementOf0(W0,slbdtrb0(sz00)) )
& ! [W0] : ~ aElementOf0(W0,slbdtrb0(sz00))
& aSet0(slbdtrb0(sz00)) ),
inference(negate,[status(cth)],[m__]) ).
fof(f_52_2,negated_conjecture,
( slbdtrb0(sz00) != slcrc0
& ? [W0] : aElementOf0(W0,slbdtrb0(sz00))
& ! [W0] : ~ aElementOf0(W0,slbdtrb0(sz00))
& aSet0(slbdtrb0(sz00)) ),
inference(fof_nnf,[status(thm)],[f_52_1]) ).
fof(f_52_3,negated_conjecture,
( slbdtrb0(sz00) != slcrc0
& ? [U_123] : aElementOf0(U_123,slbdtrb0(sz00))
& ! [U_122] : ~ aElementOf0(U_122,slbdtrb0(sz00))
& aSet0(slbdtrb0(sz00)) ),
inference(variable_rename,[status(thm)],[f_52_2]) ).
fof(f_52_4,negated_conjecture,
( slbdtrb0(sz00) != slcrc0
& aElementOf0(sK13,slbdtrb0(sz00))
& ! [U_122] : ~ aElementOf0(U_122,slbdtrb0(sz00))
& aSet0(slbdtrb0(sz00)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK13]),skolemize(U_123,sK13)],[f_52_3]) ).
fof(f_52_5,negated_conjecture,
( slbdtrb0(sz00) != slcrc0
& aElementOf0(sK13,slbdtrb0(sz00))
& ! [U_122] : ~ aElementOf0(U_122,slbdtrb0(sz00))
& aSet0(slbdtrb0(sz00)) ),
inference(definitional_conversion,[status(esa)],[f_52_4]) ).
cnf(f_52_6,negated_conjecture,
aSet0(slbdtrb0(sz00)),
inference(clausify,[status(thm)],[f_52_5]) ).
cnf(f_52_7,negated_conjecture,
~ aElementOf0(U_122,slbdtrb0(sz00)),
inference(clausify,[status(thm)],[f_52_5]) ).
cnf(f_52_8,negated_conjecture,
aElementOf0(sK13,slbdtrb0(sz00)),
inference(clausify,[status(thm)],[f_52_5]) ).
cnf(t1,plain,
( ~ aElementOf0(sK13,slbdtrb0(sz00))
| slbdtrb0(sz00) != slcrc0 ),
inference(start,[status(thm),parent(0:0)],[f_5_6]) ).
cnf(t2,plain,
( aElementOf0(sK1(slbdtrb0(sz00)),slbdtrb0(sz00))
| ~ aSet0(slbdtrb0(sz00))
| slbdtrb0(sz00) = slcrc0 ),
inference(extension,[status(thm),parent(t1:1)],[f_5_7]) ).
cnf(t3,plain,
$false,
inference(connection,[status(thm),parent(t2:1)],[t2:1,t1:1]) ).
cnf(t4,plain,
aSet0(slbdtrb0(sz00)),
inference(extension,[status(thm),parent(t2:2)],[f_52_6]) ).
cnf(t5,plain,
$false,
inference(connection,[status(thm),parent(t4:1)],[t4:1,t2:2]) ).
cnf(t6,plain,
~ aElementOf0(sK1(slbdtrb0(sz00)),slbdtrb0(sz00)),
inference(extension,[status(thm),parent(t2:3)],[f_52_7]) ).
cnf(t7,plain,
$false,
inference(connection,[status(thm),parent(t6:1)],[t6:1,t2:3]) ).
cnf(t8,plain,
aElementOf0(sK13,slbdtrb0(sz00)),
inference(extension,[status(thm),parent(t1:2)],[f_52_8]) ).
cnf(t9,plain,
$false,
inference(connection,[status(thm),parent(t8:1)],[t8:1,t1:2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : NUM540+2 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.03 This is a FOF_THM_RFO_SEQ problem
% 0.00/0.03 % Command : /export/starexec/sandbox2/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.36 % Computer : n020.cluster.edu
% 0.08/0.36 % Model : x86_64 x86_64
% 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36 % Memory : 8046.5625MB
% 0.08/0.36 % OS : Linux 6.8.0-71-generic
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Sat Sep 19 18:46:16 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.38/0.65 % SZS status Theorem for theBenchmark
% 0.38/0.65 % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------