%------------------------------------------------------------------------------
% File : ConnectPP---0.7.2
% Problem : NUM594+3 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox/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 08:52:46 AM UTC 2026
% Result : Theorem 222.61s 222.93s
% Output : Proof 222.61s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 5
% Syntax : Number of formulae : 32 ( 13 unt; 0 def)
% Number of atoms : 107 ( 37 equ)
% Maximal formula atoms : 17 ( 3 avg)
% Number of connectives : 121 ( 46 ~; 34 |; 38 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 7 con; 0-2 aty)
% Number of variables : 37 ( 0 sgn 24 !; 7 ?)
% Comments :
%------------------------------------------------------------------------------
fof(m__4730,hypothesis,
( ! [W0] :
( aElementOf0(W0,szNzAzT0)
=> ! [W1] :
( ( ( aElementOf0(W1,slbdtsldtrb0(sdtlpdtrp0(xN,szszuzczcdt0(W0)),xk))
| ( sbrdtbr0(W1) = xk
& ( aSubsetOf0(W1,sdtlpdtrp0(xN,szszuzczcdt0(W0)))
| ! [W2] :
( aElementOf0(W2,W1)
=> aElementOf0(W2,sdtlpdtrp0(xN,szszuzczcdt0(W0))) ) ) ) )
& aSet0(W1) )
=> sdtlpdtrp0(xd,W0) = sdtlpdtrp0(sdtlpdtrp0(xC,W0),W1) ) )
& szDzozmdt0(xd) = szNzAzT0
& aFunction0(xd) ),
file('theBenchmark.p',m__4730) ).
fof(m__4781,hypothesis,
( aElementOf0(xx,sdtlcdtrc0(xd,szDzozmdt0(xd)))
& ? [W0] :
( sdtlpdtrp0(xd,W0) = xx
& aElementOf0(W0,szDzozmdt0(xd)) ) ),
file('theBenchmark.p',m__4781) ).
fof(m__,conjecture,
? [W0] :
( sdtlpdtrp0(xd,W0) = xx
& aElementOf0(W0,szNzAzT0) ),
file('theBenchmark.p',m__) ).
fof(f_92_1,plain,
( ! [W0] :
( ! [W1] :
( sdtlpdtrp0(xd,W0) = sdtlpdtrp0(sdtlpdtrp0(xC,W0),W1)
| ( ~ aElementOf0(W1,slbdtsldtrb0(sdtlpdtrp0(xN,szszuzczcdt0(W0)),xk))
& ( sbrdtbr0(W1) != xk
| ( ~ aSubsetOf0(W1,sdtlpdtrp0(xN,szszuzczcdt0(W0)))
& ? [W2] :
( ~ aElementOf0(W2,sdtlpdtrp0(xN,szszuzczcdt0(W0)))
& aElementOf0(W2,W1) ) ) ) )
| ~ aSet0(W1) )
| ~ aElementOf0(W0,szNzAzT0) )
& szDzozmdt0(xd) = szNzAzT0
& aFunction0(xd) ),
inference(fof_nnf,[status(thm)],[m__4730]) ).
fof(f_92_2,plain,
( ! [U_318] :
( ! [U_317] :
( sdtlpdtrp0(xd,U_318) = sdtlpdtrp0(sdtlpdtrp0(xC,U_318),U_317)
| ( ~ aElementOf0(U_317,slbdtsldtrb0(sdtlpdtrp0(xN,szszuzczcdt0(U_318)),xk))
& ( sbrdtbr0(U_317) != xk
| ( ~ aSubsetOf0(U_317,sdtlpdtrp0(xN,szszuzczcdt0(U_318)))
& ? [U_316] :
( ~ aElementOf0(U_316,sdtlpdtrp0(xN,szszuzczcdt0(U_318)))
& aElementOf0(U_316,U_317) ) ) ) )
| ~ aSet0(U_317) )
| ~ aElementOf0(U_318,szNzAzT0) )
& szDzozmdt0(xd) = szNzAzT0
& aFunction0(xd) ),
inference(variable_rename,[status(thm)],[f_92_1]) ).
fof(f_92_3,plain,
( ! [U_318] :
( ! [U_317] :
( sdtlpdtrp0(xd,U_318) = sdtlpdtrp0(sdtlpdtrp0(xC,U_318),U_317)
| ( ~ aElementOf0(U_317,slbdtsldtrb0(sdtlpdtrp0(xN,szszuzczcdt0(U_318)),xk))
& ( sbrdtbr0(U_317) != xk
| ( ~ aSubsetOf0(U_317,sdtlpdtrp0(xN,szszuzczcdt0(U_318)))
& ~ aElementOf0(sK50(U_318,U_317),sdtlpdtrp0(xN,szszuzczcdt0(U_318)))
& aElementOf0(sK50(U_318,U_317),U_317) ) ) )
| ~ aSet0(U_317) )
| ~ aElementOf0(U_318,szNzAzT0) )
& szDzozmdt0(xd) = szNzAzT0
& aFunction0(xd) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK50]),skolemize(U_316,sK50(U_318,U_317))],[f_92_2]) ).
fof(f_92_4,plain,
( ! [U_317,U_318] :
( ~ aSubsetOf0(U_317,sdtlpdtrp0(xN,szszuzczcdt0(U_318)))
| ~ sP117(U_317,U_318) )
& ! [U_317,U_318] :
( ~ aElementOf0(sK50(U_318,U_317),sdtlpdtrp0(xN,szszuzczcdt0(U_318)))
| ~ sP117(U_317,U_318) )
& ! [U_317,U_318] :
( aElementOf0(sK50(U_318,U_317),U_317)
| ~ sP117(U_317,U_318) )
& ! [U_317,U_318] :
( ~ aElementOf0(U_317,slbdtsldtrb0(sdtlpdtrp0(xN,szszuzczcdt0(U_318)),xk))
| ~ sP118(U_317,U_318) )
& ! [U_317,U_318] :
( sbrdtbr0(U_317) != xk
| sP117(U_317,U_318)
| ~ sP118(U_317,U_318) )
& ! [U_317,U_318] :
( sdtlpdtrp0(xd,U_318) = sdtlpdtrp0(sdtlpdtrp0(xC,U_318),U_317)
| sP118(U_317,U_318)
| ~ aSet0(U_317)
| ~ aElementOf0(U_318,szNzAzT0) )
& szDzozmdt0(xd) = szNzAzT0
& aFunction0(xd) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP117,sP118])],[f_92_3]) ).
cnf(f_92_6,plain,
szDzozmdt0(xd) = szNzAzT0,
inference(clausify,[status(thm)],[f_92_4]) ).
fof(f_94_1,plain,
( aElementOf0(xx,sdtlcdtrc0(xd,szDzozmdt0(xd)))
& ? [W0] :
( sdtlpdtrp0(xd,W0) = xx
& aElementOf0(W0,szDzozmdt0(xd)) ) ),
inference(fof_nnf,[status(thm)],[m__4781]) ).
fof(f_94_2,plain,
( aElementOf0(xx,sdtlcdtrc0(xd,szDzozmdt0(xd)))
& ? [U_324] :
( sdtlpdtrp0(xd,U_324) = xx
& aElementOf0(U_324,szDzozmdt0(xd)) ) ),
inference(variable_rename,[status(thm)],[f_94_1]) ).
fof(f_94_3,plain,
( aElementOf0(xx,sdtlcdtrc0(xd,szDzozmdt0(xd)))
& sdtlpdtrp0(xd,sK52) = xx
& aElementOf0(sK52,szDzozmdt0(xd)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK52]),skolemize(U_324,sK52)],[f_94_2]) ).
fof(f_94_4,plain,
( aElementOf0(xx,sdtlcdtrc0(xd,szDzozmdt0(xd)))
& sdtlpdtrp0(xd,sK52) = xx
& aElementOf0(sK52,szDzozmdt0(xd)) ),
inference(definitional_conversion,[status(esa)],[f_94_3]) ).
cnf(f_94_5,plain,
aElementOf0(sK52,szDzozmdt0(xd)),
inference(clausify,[status(thm)],[f_94_4]) ).
cnf(f_94_6,plain,
sdtlpdtrp0(xd,sK52) = xx,
inference(clausify,[status(thm)],[f_94_4]) ).
fof(f_95_1,negated_conjecture,
~ ? [W0] :
( sdtlpdtrp0(xd,W0) = xx
& aElementOf0(W0,szNzAzT0) ),
inference(negate,[status(cth)],[m__]) ).
fof(f_95_2,negated_conjecture,
! [W0] :
( sdtlpdtrp0(xd,W0) != xx
| ~ aElementOf0(W0,szNzAzT0) ),
inference(fof_nnf,[status(thm)],[f_95_1]) ).
fof(f_95_3,negated_conjecture,
! [U_325] :
( sdtlpdtrp0(xd,U_325) != xx
| ~ aElementOf0(U_325,szNzAzT0) ),
inference(variable_rename,[status(thm)],[f_95_2]) ).
fof(f_95_4,negated_conjecture,
! [U_325] :
( sdtlpdtrp0(xd,U_325) != xx
| ~ aElementOf0(U_325,szNzAzT0) ),
inference(definitional_conversion,[status(esa)],[f_95_3]) ).
cnf(f_95_5,negated_conjecture,
( sdtlpdtrp0(xd,U_325) != xx
| ~ aElementOf0(U_325,szNzAzT0) ),
inference(clausify,[status(thm)],[f_95_4]) ).
cnf(equality_1,axiom,
Eq_x_0 = Eq_x_0,
theory(equality,[reflexivity]) ).
cnf(equality_71,axiom,
( aElementOf0(Eq_y_0,Eq_y_1)
| ~ aElementOf0(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(t1,plain,
( ~ aElementOf0(sK52,szNzAzT0)
| sdtlpdtrp0(xd,sK52) != xx ),
inference(start,[status(thm),parent(0:0)],[f_95_5]) ).
cnf(t2,plain,
sdtlpdtrp0(xd,sK52) = xx,
inference(extension,[status(thm),parent(t1:1)],[f_94_6]) ).
cnf(t3,plain,
$false,
inference(connection,[status(thm),parent(t2:1)],[t2:1,t1:1]) ).
cnf(t4,plain,
( ~ aElementOf0(sK52,szDzozmdt0(xd))
| sK52 != sK52
| szDzozmdt0(xd) != szNzAzT0
| aElementOf0(sK52,szNzAzT0) ),
inference(extension,[status(thm),parent(t1:2)],[equality_71]) ).
cnf(t5,plain,
$false,
inference(connection,[status(thm),parent(t4:1)],[t4:1,t1:2]) ).
cnf(t6,plain,
szDzozmdt0(xd) = szNzAzT0,
inference(extension,[status(thm),parent(t4:2)],[f_92_6]) ).
cnf(t7,plain,
$false,
inference(connection,[status(thm),parent(t6:1)],[t6:1,t4:2]) ).
cnf(t8,plain,
sK52 = sK52,
inference(extension,[status(thm),parent(t4:3)],[equality_1]) ).
cnf(t9,plain,
$false,
inference(connection,[status(thm),parent(t8:1)],[t8:1,t4:3]) ).
cnf(t10,plain,
aElementOf0(sK52,szDzozmdt0(xd)),
inference(extension,[status(thm),parent(t4:4)],[f_94_5]) ).
cnf(t11,plain,
$false,
inference(connection,[status(thm),parent(t10:1)],[t10:1,t4:4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : NUM594+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/sandbox/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.37 % Computer : n020.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Sat Sep 19 18:55:16 UTC 2026
% 0.09/0.37 % CPUTime :
% 222.61/222.93 % SZS status Theorem for theBenchmark
% 222.61/222.93 % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------