%------------------------------------------------------------------------------
% File : ConnectPP---0.7.2
% Problem : NUM591+1 : 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 : n013.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 08:52:45 AM UTC 2026
% Result : Theorem 125.64s 125.96s
% Output : Proof 125.64s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 5
% Syntax : Number of formulae : 104 ( 74 unt; 0 def)
% Number of atoms : 276 ( 38 equ)
% Maximal formula atoms : 12 ( 2 avg)
% Number of connectives : 298 ( 126 ~; 118 |; 47 &)
% ( 0 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 1 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 6 con; 0-3 aty)
% Number of variables : 71 ( 0 sgn 38 !; 14 ?)
% Comments :
%------------------------------------------------------------------------------
fof(m__3398,hypothesis,
! [W0] :
( aElementOf0(W0,szNzAzT0)
=> ! [W1] :
( ( isCountable0(W1)
& aSubsetOf0(W1,szNzAzT0) )
=> ! [W2] :
( ( aSubsetOf0(sdtlcdtrc0(W2,szDzozmdt0(W2)),xT)
& szDzozmdt0(W2) = slbdtsldtrb0(W1,W0)
& aFunction0(W2) )
=> ( iLess0(W0,xK)
=> ? [W3] :
( ? [W4] :
( ! [W5] :
( aElementOf0(W5,slbdtsldtrb0(W4,W0))
=> sdtlpdtrp0(W2,W5) = W3 )
& isCountable0(W4)
& aSubsetOf0(W4,W1) )
& aElementOf0(W3,xT) ) ) ) ) ),
file('theBenchmark.p',m__3398) ).
fof(m__3533,hypothesis,
( szszuzczcdt0(xk) = xK
& aElementOf0(xk,szNzAzT0) ),
file('theBenchmark.p',m__3533) ).
fof(m__4423,hypothesis,
iLess0(xk,xK),
file('theBenchmark.p',m__4423) ).
fof(m__4482,hypothesis,
( aSubsetOf0(sdtlcdtrc0(xd,szDzozmdt0(xd)),xT)
& szDzozmdt0(xd) = slbdtsldtrb0(xY,xk)
& aFunction0(xd)
& isCountable0(xY)
& aSubsetOf0(xY,szNzAzT0) ),
file('theBenchmark.p',m__4482) ).
fof(m__,conjecture,
? [W0,W1] :
( ! [W2] :
( ( aElementOf0(W2,slbdtsldtrb0(W1,xk))
& aSet0(W2) )
=> sdtlpdtrp0(xd,W2) = W0 )
& isCountable0(W1)
& aSubsetOf0(W1,xY)
& aElementOf0(W0,xT) ),
file('theBenchmark.p',m__) ).
fof(f_77_1,plain,
! [W0] :
( ! [W1] :
( ! [W2] :
( ? [W3] :
( ? [W4] :
( ! [W5] :
( sdtlpdtrp0(W2,W5) = W3
| ~ aElementOf0(W5,slbdtsldtrb0(W4,W0)) )
& isCountable0(W4)
& aSubsetOf0(W4,W1) )
& aElementOf0(W3,xT) )
| ~ iLess0(W0,xK)
| ~ aSubsetOf0(sdtlcdtrc0(W2,szDzozmdt0(W2)),xT)
| szDzozmdt0(W2) != slbdtsldtrb0(W1,W0)
| ~ aFunction0(W2) )
| ~ isCountable0(W1)
| ~ aSubsetOf0(W1,szNzAzT0) )
| ~ aElementOf0(W0,szNzAzT0) ),
inference(fof_nnf,[status(thm)],[m__3398]) ).
fof(f_77_2,plain,
! [U_204] :
( ! [U_203] :
( ! [U_202] :
( ? [U_201] :
( ? [U_200] :
( ! [U_199] :
( sdtlpdtrp0(U_202,U_199) = U_201
| ~ aElementOf0(U_199,slbdtsldtrb0(U_200,U_204)) )
& isCountable0(U_200)
& aSubsetOf0(U_200,U_203) )
& aElementOf0(U_201,xT) )
| ~ iLess0(U_204,xK)
| ~ aSubsetOf0(sdtlcdtrc0(U_202,szDzozmdt0(U_202)),xT)
| szDzozmdt0(U_202) != slbdtsldtrb0(U_203,U_204)
| ~ aFunction0(U_202) )
| ~ isCountable0(U_203)
| ~ aSubsetOf0(U_203,szNzAzT0) )
| ~ aElementOf0(U_204,szNzAzT0) ),
inference(variable_rename,[status(thm)],[f_77_1]) ).
fof(f_77_3,plain,
! [U_204] :
( ! [U_203] :
( ! [U_202] :
( ( ? [U_200] :
( ! [U_199] :
( sdtlpdtrp0(U_202,U_199) = sK26(U_204,U_203,U_202)
| ~ aElementOf0(U_199,slbdtsldtrb0(U_200,U_204)) )
& isCountable0(U_200)
& aSubsetOf0(U_200,U_203) )
& aElementOf0(sK26(U_204,U_203,U_202),xT) )
| ~ iLess0(U_204,xK)
| ~ aSubsetOf0(sdtlcdtrc0(U_202,szDzozmdt0(U_202)),xT)
| szDzozmdt0(U_202) != slbdtsldtrb0(U_203,U_204)
| ~ aFunction0(U_202) )
| ~ isCountable0(U_203)
| ~ aSubsetOf0(U_203,szNzAzT0) )
| ~ aElementOf0(U_204,szNzAzT0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK26]),skolemize(U_201,sK26(U_204,U_203,U_202))],[f_77_2]) ).
fof(f_77_4,plain,
! [U_204] :
( ! [U_203] :
( ! [U_202] :
( ( ! [U_199] :
( sdtlpdtrp0(U_202,U_199) = sK26(U_204,U_203,U_202)
| ~ aElementOf0(U_199,slbdtsldtrb0(sK27(U_204,U_203,U_202),U_204)) )
& isCountable0(sK27(U_204,U_203,U_202))
& aSubsetOf0(sK27(U_204,U_203,U_202),U_203)
& aElementOf0(sK26(U_204,U_203,U_202),xT) )
| ~ iLess0(U_204,xK)
| ~ aSubsetOf0(sdtlcdtrc0(U_202,szDzozmdt0(U_202)),xT)
| szDzozmdt0(U_202) != slbdtsldtrb0(U_203,U_204)
| ~ aFunction0(U_202) )
| ~ isCountable0(U_203)
| ~ aSubsetOf0(U_203,szNzAzT0) )
| ~ aElementOf0(U_204,szNzAzT0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK27]),skolemize(U_200,sK27(U_204,U_203,U_202))],[f_77_3]) ).
cnf(f_77_5,plain,
( aElementOf0(sK26(U_204,U_203,U_202),xT)
| ~ iLess0(U_204,xK)
| ~ aSubsetOf0(sdtlcdtrc0(U_202,szDzozmdt0(U_202)),xT)
| szDzozmdt0(U_202) != slbdtsldtrb0(U_203,U_204)
| ~ aFunction0(U_202)
| ~ isCountable0(U_203)
| ~ aSubsetOf0(U_203,szNzAzT0)
| ~ aElementOf0(U_204,szNzAzT0) ),
inference(clausify,[status(thm)],[f_77_4]) ).
cnf(f_77_6,plain,
( aSubsetOf0(sK27(U_204,U_203,U_202),U_203)
| ~ iLess0(U_204,xK)
| ~ aSubsetOf0(sdtlcdtrc0(U_202,szDzozmdt0(U_202)),xT)
| szDzozmdt0(U_202) != slbdtsldtrb0(U_203,U_204)
| ~ aFunction0(U_202)
| ~ isCountable0(U_203)
| ~ aSubsetOf0(U_203,szNzAzT0)
| ~ aElementOf0(U_204,szNzAzT0) ),
inference(clausify,[status(thm)],[f_77_4]) ).
cnf(f_77_7,plain,
( isCountable0(sK27(U_204,U_203,U_202))
| ~ iLess0(U_204,xK)
| ~ aSubsetOf0(sdtlcdtrc0(U_202,szDzozmdt0(U_202)),xT)
| szDzozmdt0(U_202) != slbdtsldtrb0(U_203,U_204)
| ~ aFunction0(U_202)
| ~ isCountable0(U_203)
| ~ aSubsetOf0(U_203,szNzAzT0)
| ~ aElementOf0(U_204,szNzAzT0) ),
inference(clausify,[status(thm)],[f_77_4]) ).
cnf(f_77_8,plain,
( sdtlpdtrp0(U_202,U_199) = sK26(U_204,U_203,U_202)
| ~ aElementOf0(U_199,slbdtsldtrb0(sK27(U_204,U_203,U_202),U_204))
| ~ iLess0(U_204,xK)
| ~ aSubsetOf0(sdtlcdtrc0(U_202,szDzozmdt0(U_202)),xT)
| szDzozmdt0(U_202) != slbdtsldtrb0(U_203,U_204)
| ~ aFunction0(U_202)
| ~ isCountable0(U_203)
| ~ aSubsetOf0(U_203,szNzAzT0)
| ~ aElementOf0(U_204,szNzAzT0) ),
inference(clausify,[status(thm)],[f_77_4]) ).
fof(f_80_1,plain,
( szszuzczcdt0(xk) = xK
& aElementOf0(xk,szNzAzT0) ),
inference(fof_nnf,[status(thm)],[m__3533]) ).
cnf(f_80_2,plain,
aElementOf0(xk,szNzAzT0),
inference(clausify,[status(thm)],[f_80_1]) ).
fof(f_89_1,plain,
iLess0(xk,xK),
inference(fof_nnf,[status(thm)],[m__4423]) ).
cnf(f_89_2,plain,
iLess0(xk,xK),
inference(clausify,[status(thm)],[f_89_1]) ).
fof(f_92_1,plain,
( aSubsetOf0(sdtlcdtrc0(xd,szDzozmdt0(xd)),xT)
& szDzozmdt0(xd) = slbdtsldtrb0(xY,xk)
& aFunction0(xd)
& isCountable0(xY)
& aSubsetOf0(xY,szNzAzT0) ),
inference(fof_nnf,[status(thm)],[m__4482]) ).
cnf(f_92_2,plain,
aSubsetOf0(xY,szNzAzT0),
inference(clausify,[status(thm)],[f_92_1]) ).
cnf(f_92_3,plain,
isCountable0(xY),
inference(clausify,[status(thm)],[f_92_1]) ).
cnf(f_92_4,plain,
aFunction0(xd),
inference(clausify,[status(thm)],[f_92_1]) ).
cnf(f_92_5,plain,
szDzozmdt0(xd) = slbdtsldtrb0(xY,xk),
inference(clausify,[status(thm)],[f_92_1]) ).
cnf(f_92_6,plain,
aSubsetOf0(sdtlcdtrc0(xd,szDzozmdt0(xd)),xT),
inference(clausify,[status(thm)],[f_92_1]) ).
fof(f_93_1,negated_conjecture,
~ ? [W0,W1] :
( ! [W2] :
( ( aElementOf0(W2,slbdtsldtrb0(W1,xk))
& aSet0(W2) )
=> sdtlpdtrp0(xd,W2) = W0 )
& isCountable0(W1)
& aSubsetOf0(W1,xY)
& aElementOf0(W0,xT) ),
inference(negate,[status(cth)],[m__]) ).
fof(f_93_2,negated_conjecture,
! [W0,W1] :
( ? [W2] :
( sdtlpdtrp0(xd,W2) != W0
& aElementOf0(W2,slbdtsldtrb0(W1,xk))
& aSet0(W2) )
| ~ isCountable0(W1)
| ~ aSubsetOf0(W1,xY)
| ~ aElementOf0(W0,xT) ),
inference(fof_nnf,[status(thm)],[f_93_1]) ).
fof(f_93_3,negated_conjecture,
! [U_221,U_220] :
( ? [U_219] :
( sdtlpdtrp0(xd,U_219) != U_221
& aElementOf0(U_219,slbdtsldtrb0(U_220,xk))
& aSet0(U_219) )
| ~ isCountable0(U_220)
| ~ aSubsetOf0(U_220,xY)
| ~ aElementOf0(U_221,xT) ),
inference(variable_rename,[status(thm)],[f_93_2]) ).
fof(f_93_4,negated_conjecture,
! [U_221] :
( ! [U_220] :
( ? [U_219] :
( sdtlpdtrp0(xd,U_219) != U_221
& aElementOf0(U_219,slbdtsldtrb0(U_220,xk))
& aSet0(U_219) )
| ~ isCountable0(U_220)
| ~ aSubsetOf0(U_220,xY) )
| ~ aElementOf0(U_221,xT) ),
inference(miniscope,[status(thm)],[f_93_3]) ).
fof(f_93_5,negated_conjecture,
! [U_221] :
( ! [U_220] :
( ( sdtlpdtrp0(xd,sK28(U_221,U_220)) != U_221
& aElementOf0(sK28(U_221,U_220),slbdtsldtrb0(U_220,xk))
& aSet0(sK28(U_221,U_220)) )
| ~ isCountable0(U_220)
| ~ aSubsetOf0(U_220,xY) )
| ~ aElementOf0(U_221,xT) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK28]),skolemize(U_219,sK28(U_221,U_220))],[f_93_4]) ).
fof(f_93_6,negated_conjecture,
( ! [U_220,U_221] :
( sdtlpdtrp0(xd,sK28(U_221,U_220)) != U_221
| ~ sP0(U_220,U_221) )
& ! [U_220,U_221] :
( aElementOf0(sK28(U_221,U_220),slbdtsldtrb0(U_220,xk))
| ~ sP0(U_220,U_221) )
& ! [U_220,U_221] :
( aSet0(sK28(U_221,U_220))
| ~ sP0(U_220,U_221) )
& ! [U_220,U_221] :
( sP0(U_220,U_221)
| ~ isCountable0(U_220)
| ~ aSubsetOf0(U_220,xY)
| ~ aElementOf0(U_221,xT) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP0])],[f_93_5]) ).
cnf(f_93_7,negated_conjecture,
( sP0(U_220,U_221)
| ~ isCountable0(U_220)
| ~ aSubsetOf0(U_220,xY)
| ~ aElementOf0(U_221,xT) ),
inference(clausify,[status(thm)],[f_93_6]) ).
cnf(f_93_9,negated_conjecture,
( aElementOf0(sK28(U_221,U_220),slbdtsldtrb0(U_220,xk))
| ~ sP0(U_220,U_221) ),
inference(clausify,[status(thm)],[f_93_6]) ).
cnf(f_93_10,negated_conjecture,
( sdtlpdtrp0(xd,sK28(U_221,U_220)) != U_221
| ~ sP0(U_220,U_221) ),
inference(clausify,[status(thm)],[f_93_6]) ).
cnf(t1,plain,
( sdtlpdtrp0(xd,sK28(sK26(xk,xY,xd),sK27(xk,xY,xd))) != sK26(xk,xY,xd)
| ~ sP0(sK27(xk,xY,xd),sK26(xk,xY,xd)) ),
inference(start,[status(thm),parent(0:0)],[f_93_10]) ).
cnf(t2,plain,
( ~ aSubsetOf0(sK27(xk,xY,xd),xY)
| ~ isCountable0(sK27(xk,xY,xd))
| ~ aElementOf0(sK26(xk,xY,xd),xT)
| sP0(sK27(xk,xY,xd),sK26(xk,xY,xd)) ),
inference(extension,[status(thm),parent(t1:1)],[f_93_7]) ).
cnf(t3,plain,
$false,
inference(connection,[status(thm),parent(t2:1)],[t2:1,t1:1]) ).
cnf(t4,plain,
( ~ aSubsetOf0(xY,szNzAzT0)
| ~ isCountable0(xY)
| ~ aFunction0(xd)
| szDzozmdt0(xd) != slbdtsldtrb0(xY,xk)
| ~ aSubsetOf0(sdtlcdtrc0(xd,szDzozmdt0(xd)),xT)
| ~ iLess0(xk,xK)
| ~ aElementOf0(xk,szNzAzT0)
| aElementOf0(sK26(xk,xY,xd),xT) ),
inference(extension,[status(thm),parent(t2:2)],[f_77_5]) ).
cnf(t5,plain,
$false,
inference(connection,[status(thm),parent(t4:1)],[t4:1,t2:2]) ).
cnf(t6,plain,
aElementOf0(xk,szNzAzT0),
inference(extension,[status(thm),parent(t4:2)],[f_80_2]) ).
cnf(t7,plain,
$false,
inference(connection,[status(thm),parent(t6:1)],[t6:1,t4:2]) ).
cnf(t8,plain,
iLess0(xk,xK),
inference(extension,[status(thm),parent(t4:3)],[f_89_2]) ).
cnf(t9,plain,
$false,
inference(connection,[status(thm),parent(t8:1)],[t8:1,t4:3]) ).
cnf(t10,plain,
aSubsetOf0(sdtlcdtrc0(xd,szDzozmdt0(xd)),xT),
inference(extension,[status(thm),parent(t4:4)],[f_92_6]) ).
cnf(t11,plain,
$false,
inference(connection,[status(thm),parent(t10:1)],[t10:1,t4:4]) ).
cnf(t12,plain,
szDzozmdt0(xd) = slbdtsldtrb0(xY,xk),
inference(extension,[status(thm),parent(t4:5)],[f_92_5]) ).
cnf(t13,plain,
$false,
inference(connection,[status(thm),parent(t12:1)],[t12:1,t4:5]) ).
cnf(t14,plain,
aFunction0(xd),
inference(extension,[status(thm),parent(t4:6)],[f_92_4]) ).
cnf(t15,plain,
$false,
inference(connection,[status(thm),parent(t14:1)],[t14:1,t4:6]) ).
cnf(t16,plain,
isCountable0(xY),
inference(extension,[status(thm),parent(t4:7)],[f_92_3]) ).
cnf(t17,plain,
$false,
inference(connection,[status(thm),parent(t16:1)],[t16:1,t4:7]) ).
cnf(t18,plain,
aSubsetOf0(xY,szNzAzT0),
inference(extension,[status(thm),parent(t4:8)],[f_92_2]) ).
cnf(t19,plain,
$false,
inference(connection,[status(thm),parent(t18:1)],[t18:1,t4:8]) ).
cnf(t20,plain,
( ~ aSubsetOf0(xY,szNzAzT0)
| ~ isCountable0(xY)
| ~ aFunction0(xd)
| szDzozmdt0(xd) != slbdtsldtrb0(xY,xk)
| ~ aSubsetOf0(sdtlcdtrc0(xd,szDzozmdt0(xd)),xT)
| ~ iLess0(xk,xK)
| ~ aElementOf0(xk,szNzAzT0)
| isCountable0(sK27(xk,xY,xd)) ),
inference(extension,[status(thm),parent(t2:3)],[f_77_7]) ).
cnf(t21,plain,
$false,
inference(connection,[status(thm),parent(t20:1)],[t20:1,t2:3]) ).
cnf(t22,plain,
aElementOf0(xk,szNzAzT0),
inference(extension,[status(thm),parent(t20:2)],[f_80_2]) ).
cnf(t23,plain,
$false,
inference(connection,[status(thm),parent(t22:1)],[t22:1,t20:2]) ).
cnf(t24,plain,
iLess0(xk,xK),
inference(extension,[status(thm),parent(t20:3)],[f_89_2]) ).
cnf(t25,plain,
$false,
inference(connection,[status(thm),parent(t24:1)],[t24:1,t20:3]) ).
cnf(t26,plain,
aSubsetOf0(sdtlcdtrc0(xd,szDzozmdt0(xd)),xT),
inference(extension,[status(thm),parent(t20:4)],[f_92_6]) ).
cnf(t27,plain,
$false,
inference(connection,[status(thm),parent(t26:1)],[t26:1,t20:4]) ).
cnf(t28,plain,
szDzozmdt0(xd) = slbdtsldtrb0(xY,xk),
inference(extension,[status(thm),parent(t20:5)],[f_92_5]) ).
cnf(t29,plain,
$false,
inference(connection,[status(thm),parent(t28:1)],[t28:1,t20:5]) ).
cnf(t30,plain,
aFunction0(xd),
inference(extension,[status(thm),parent(t20:6)],[f_92_4]) ).
cnf(t31,plain,
$false,
inference(connection,[status(thm),parent(t30:1)],[t30:1,t20:6]) ).
cnf(t32,plain,
isCountable0(xY),
inference(extension,[status(thm),parent(t20:7)],[f_92_3]) ).
cnf(t33,plain,
$false,
inference(connection,[status(thm),parent(t32:1)],[t32:1,t20:7]) ).
cnf(t34,plain,
aSubsetOf0(xY,szNzAzT0),
inference(extension,[status(thm),parent(t20:8)],[f_92_2]) ).
cnf(t35,plain,
$false,
inference(connection,[status(thm),parent(t34:1)],[t34:1,t20:8]) ).
cnf(t36,plain,
( ~ aSubsetOf0(xY,szNzAzT0)
| ~ isCountable0(xY)
| ~ aFunction0(xd)
| szDzozmdt0(xd) != slbdtsldtrb0(xY,xk)
| ~ aSubsetOf0(sdtlcdtrc0(xd,szDzozmdt0(xd)),xT)
| ~ iLess0(xk,xK)
| ~ aElementOf0(xk,szNzAzT0)
| aSubsetOf0(sK27(xk,xY,xd),xY) ),
inference(extension,[status(thm),parent(t2:4)],[f_77_6]) ).
cnf(t37,plain,
$false,
inference(connection,[status(thm),parent(t36:1)],[t36:1,t2:4]) ).
cnf(t38,plain,
aElementOf0(xk,szNzAzT0),
inference(extension,[status(thm),parent(t36:2)],[f_80_2]) ).
cnf(t39,plain,
$false,
inference(connection,[status(thm),parent(t38:1)],[t38:1,t36:2]) ).
cnf(t40,plain,
iLess0(xk,xK),
inference(extension,[status(thm),parent(t36:3)],[f_89_2]) ).
cnf(t41,plain,
$false,
inference(connection,[status(thm),parent(t40:1)],[t40:1,t36:3]) ).
cnf(t42,plain,
aSubsetOf0(sdtlcdtrc0(xd,szDzozmdt0(xd)),xT),
inference(extension,[status(thm),parent(t36:4)],[f_92_6]) ).
cnf(t43,plain,
$false,
inference(connection,[status(thm),parent(t42:1)],[t42:1,t36:4]) ).
cnf(t44,plain,
szDzozmdt0(xd) = slbdtsldtrb0(xY,xk),
inference(extension,[status(thm),parent(t36:5)],[f_92_5]) ).
cnf(t45,plain,
$false,
inference(connection,[status(thm),parent(t44:1)],[t44:1,t36:5]) ).
cnf(t46,plain,
aFunction0(xd),
inference(extension,[status(thm),parent(t36:6)],[f_92_4]) ).
cnf(t47,plain,
$false,
inference(connection,[status(thm),parent(t46:1)],[t46:1,t36:6]) ).
cnf(t48,plain,
isCountable0(xY),
inference(extension,[status(thm),parent(t36:7)],[f_92_3]) ).
cnf(t49,plain,
$false,
inference(connection,[status(thm),parent(t48:1)],[t48:1,t36:7]) ).
cnf(t50,plain,
aSubsetOf0(xY,szNzAzT0),
inference(extension,[status(thm),parent(t36:8)],[f_92_2]) ).
cnf(t51,plain,
$false,
inference(connection,[status(thm),parent(t50:1)],[t50:1,t36:8]) ).
cnf(l1,lemma,
sP0(sK27(xk,xY,xd),sK26(xk,xY,xd)),
inference(lemma,[status(cth),parent(t1:1),below(0:0)],[t1:1]) ).
cnf(t52,plain,
( ~ aSubsetOf0(xY,szNzAzT0)
| ~ isCountable0(xY)
| ~ aFunction0(xd)
| szDzozmdt0(xd) != slbdtsldtrb0(xY,xk)
| ~ aSubsetOf0(sdtlcdtrc0(xd,szDzozmdt0(xd)),xT)
| ~ iLess0(xk,xK)
| ~ aElementOf0(sK28(sK26(xk,xY,xd),sK27(xk,xY,xd)),slbdtsldtrb0(sK27(xk,xY,xd),xk))
| ~ aElementOf0(xk,szNzAzT0)
| sdtlpdtrp0(xd,sK28(sK26(xk,xY,xd),sK27(xk,xY,xd))) = sK26(xk,xY,xd) ),
inference(extension,[status(thm),parent(t1:2)],[f_77_8]) ).
cnf(t53,plain,
$false,
inference(connection,[status(thm),parent(t52:1)],[t52:1,t1:2]) ).
cnf(t54,plain,
aElementOf0(xk,szNzAzT0),
inference(extension,[status(thm),parent(t52:2)],[f_80_2]) ).
cnf(t55,plain,
$false,
inference(connection,[status(thm),parent(t54:1)],[t54:1,t52:2]) ).
cnf(t56,plain,
( ~ sP0(sK27(xk,xY,xd),sK26(xk,xY,xd))
| aElementOf0(sK28(sK26(xk,xY,xd),sK27(xk,xY,xd)),slbdtsldtrb0(sK27(xk,xY,xd),xk)) ),
inference(extension,[status(thm),parent(t52:3)],[f_93_9]) ).
cnf(t57,plain,
$false,
inference(connection,[status(thm),parent(t56:1)],[t56:1,t52:3]) ).
cnf(t58,plain,
sP0(sK27(xk,xY,xd),sK26(xk,xY,xd)),
inference(lemma_extension,[status(thm),parent(t56:2)],[l1:1]) ).
cnf(t59,plain,
$false,
inference(connection,[status(thm),parent(t58:1)],[t58:1,t56:2]) ).
cnf(t60,plain,
iLess0(xk,xK),
inference(extension,[status(thm),parent(t52:4)],[f_89_2]) ).
cnf(t61,plain,
$false,
inference(connection,[status(thm),parent(t60:1)],[t60:1,t52:4]) ).
cnf(t62,plain,
aSubsetOf0(sdtlcdtrc0(xd,szDzozmdt0(xd)),xT),
inference(extension,[status(thm),parent(t52:5)],[f_92_6]) ).
cnf(t63,plain,
$false,
inference(connection,[status(thm),parent(t62:1)],[t62:1,t52:5]) ).
cnf(t64,plain,
szDzozmdt0(xd) = slbdtsldtrb0(xY,xk),
inference(extension,[status(thm),parent(t52:6)],[f_92_5]) ).
cnf(t65,plain,
$false,
inference(connection,[status(thm),parent(t64:1)],[t64:1,t52:6]) ).
cnf(t66,plain,
aFunction0(xd),
inference(extension,[status(thm),parent(t52:7)],[f_92_4]) ).
cnf(t67,plain,
$false,
inference(connection,[status(thm),parent(t66:1)],[t66:1,t52:7]) ).
cnf(t68,plain,
isCountable0(xY),
inference(extension,[status(thm),parent(t52:8)],[f_92_3]) ).
cnf(t69,plain,
$false,
inference(connection,[status(thm),parent(t68:1)],[t68:1,t52:8]) ).
cnf(t70,plain,
aSubsetOf0(xY,szNzAzT0),
inference(extension,[status(thm),parent(t52:9)],[f_92_2]) ).
cnf(t71,plain,
$false,
inference(connection,[status(thm),parent(t70:1)],[t70:1,t52:9]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : NUM591+1 : 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/sandbox/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n013.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Sat Sep 19 18:53:35 UTC 2026
% 0.09/0.37 % CPUTime :
% 125.64/125.96 % SZS status Theorem for theBenchmark
% 125.64/125.96 % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------