TSTP Solution File: NUM563+1 by SInE---0.4
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : NUM563+1 : TPTP v7.0.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : n095.star.cs.uiowa.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2609 0 2.40GHz
% Memory : 32218.625MB
% OS : Linux 3.10.0-693.2.2.el7.x86_64
% CPULimit : 300s
% DateTime : Mon Jan 8 15:21:48 EST 2018
% Result : Theorem 0.06s
% Output : CNFRefutation 0.06s
% Verified :
% SZS Type : Refutation
% Derivation depth : 34
% Number of leaves : 14
% Syntax : Number of formulae : 145 ( 24 unt; 0 def)
% Number of atoms : 584 ( 49 equ)
% Maximal formula atoms : 39 ( 4 avg)
% Number of connectives : 753 ( 314 ~; 329 |; 88 &)
% ( 5 <=>; 17 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 1 prp; 0-2 aty)
% Number of functors : 16 ( 16 usr; 7 con; 0-3 aty)
% Number of variables : 175 ( 0 sgn 94 !; 13 ?)
% Comments :
%------------------------------------------------------------------------------
fof(1,axiom,
! [X1] :
( aSet0(X1)
=> aSubsetOf0(X1,X1) ),
file('/export/starexec/sandbox/tmp/tmpk0C0ql/sel_theBenchmark.p_1',mSubRefl) ).
fof(5,axiom,
! [X1] :
( aFunction0(X1)
=> ! [X2] :
( aElementOf0(X2,szDzozmdt0(X1))
=> aElementOf0(sdtlpdtrp0(X1,X2),sdtlcdtrc0(X1,szDzozmdt0(X1))) ) ),
file('/export/starexec/sandbox/tmp/tmpk0C0ql/sel_theBenchmark.p_1',mImgRng) ).
fof(14,axiom,
! [X1] :
( ( aSet0(X1)
& isCountable0(X1) )
=> ~ isFinite0(X1) ),
file('/export/starexec/sandbox/tmp/tmpk0C0ql/sel_theBenchmark.p_1',mCountNFin) ).
fof(15,axiom,
( aFunction0(xc)
& equal(szDzozmdt0(xc),slbdtsldtrb0(xS,xK))
& aSubsetOf0(sdtlcdtrc0(xc,szDzozmdt0(xc)),xT) ),
file('/export/starexec/sandbox/tmp/tmpk0C0ql/sel_theBenchmark.p_1',m__3453) ).
fof(18,axiom,
! [X1] :
( aSet0(X1)
=> ! [X2] :
( aSubsetOf0(X2,X1)
<=> ( aSet0(X2)
& ! [X3] :
( aElementOf0(X3,X2)
=> aElementOf0(X3,X1) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmpk0C0ql/sel_theBenchmark.p_1',mDefSub) ).
fof(35,axiom,
! [X1] :
( ( aSet0(X1)
& ~ isFinite0(X1) )
=> ! [X2] :
( aElementOf0(X2,szNzAzT0)
=> ~ equal(slbdtsldtrb0(X1,X2),slcrc0) ) ),
file('/export/starexec/sandbox/tmp/tmpk0C0ql/sel_theBenchmark.p_1',mSelNSet) ).
fof(39,axiom,
! [X1] :
( equal(X1,slcrc0)
<=> ( aSet0(X1)
& ~ ? [X2] : aElementOf0(X2,X1) ) ),
file('/export/starexec/sandbox/tmp/tmpk0C0ql/sel_theBenchmark.p_1',mDefEmp) ).
fof(40,axiom,
( aSet0(xT)
& isFinite0(xT) ),
file('/export/starexec/sandbox/tmp/tmpk0C0ql/sel_theBenchmark.p_1',m__3291) ).
fof(44,axiom,
aElementOf0(sz00,szNzAzT0),
file('/export/starexec/sandbox/tmp/tmpk0C0ql/sel_theBenchmark.p_1',mZeroNum) ).
fof(59,axiom,
! [X1,X2] :
( ( aSet0(X1)
& aElementOf0(X2,szNzAzT0) )
=> ! [X3] :
( equal(X3,slbdtsldtrb0(X1,X2))
<=> ( aSet0(X3)
& ! [X4] :
( aElementOf0(X4,X3)
<=> ( aSubsetOf0(X4,X1)
& equal(sbrdtbr0(X4),X2) ) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmpk0C0ql/sel_theBenchmark.p_1',mDefSel) ).
fof(60,axiom,
! [X1] :
( aSet0(X1)
=> ( equal(sbrdtbr0(X1),sz00)
<=> equal(X1,slcrc0) ) ),
file('/export/starexec/sandbox/tmp/tmpk0C0ql/sel_theBenchmark.p_1',mCardEmpty) ).
fof(61,axiom,
( aSet0(szNzAzT0)
& isCountable0(szNzAzT0) ),
file('/export/starexec/sandbox/tmp/tmpk0C0ql/sel_theBenchmark.p_1',mNATSet) ).
fof(64,axiom,
( aSubsetOf0(xS,szNzAzT0)
& isCountable0(xS) ),
file('/export/starexec/sandbox/tmp/tmpk0C0ql/sel_theBenchmark.p_1',m__3435) ).
fof(74,conjecture,
( equal(xK,sz00)
=> ? [X1] :
( aElementOf0(X1,xT)
& ? [X2] :
( aSubsetOf0(X2,xS)
& isCountable0(X2)
& ! [X3] :
( aElementOf0(X3,slbdtsldtrb0(X2,xK))
=> equal(sdtlpdtrp0(xc,X3),X1) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmpk0C0ql/sel_theBenchmark.p_1',m__) ).
fof(79,negated_conjecture,
~ ( equal(xK,sz00)
=> ? [X1] :
( aElementOf0(X1,xT)
& ? [X2] :
( aSubsetOf0(X2,xS)
& isCountable0(X2)
& ! [X3] :
( aElementOf0(X3,slbdtsldtrb0(X2,xK))
=> equal(sdtlpdtrp0(xc,X3),X1) ) ) ) ),
inference(assume_negation,[status(cth)],[74]) ).
fof(82,plain,
! [X1] :
( ( aSet0(X1)
& isCountable0(X1) )
=> ~ isFinite0(X1) ),
inference(fof_simplification,[status(thm)],[14,theory(equality)]) ).
fof(83,plain,
! [X1] :
( ( aSet0(X1)
& ~ isFinite0(X1) )
=> ! [X2] :
( aElementOf0(X2,szNzAzT0)
=> ~ equal(slbdtsldtrb0(X1,X2),slcrc0) ) ),
inference(fof_simplification,[status(thm)],[35,theory(equality)]) ).
fof(85,plain,
! [X1] :
( ~ aSet0(X1)
| aSubsetOf0(X1,X1) ),
inference(fof_nnf,[status(thm)],[1]) ).
fof(86,plain,
! [X2] :
( ~ aSet0(X2)
| aSubsetOf0(X2,X2) ),
inference(variable_rename,[status(thm)],[85]) ).
cnf(87,plain,
( aSubsetOf0(X1,X1)
| ~ aSet0(X1) ),
inference(split_conjunct,[status(thm)],[86]) ).
fof(96,plain,
! [X1] :
( ~ aFunction0(X1)
| ! [X2] :
( ~ aElementOf0(X2,szDzozmdt0(X1))
| aElementOf0(sdtlpdtrp0(X1,X2),sdtlcdtrc0(X1,szDzozmdt0(X1))) ) ),
inference(fof_nnf,[status(thm)],[5]) ).
fof(97,plain,
! [X3] :
( ~ aFunction0(X3)
| ! [X4] :
( ~ aElementOf0(X4,szDzozmdt0(X3))
| aElementOf0(sdtlpdtrp0(X3,X4),sdtlcdtrc0(X3,szDzozmdt0(X3))) ) ),
inference(variable_rename,[status(thm)],[96]) ).
fof(98,plain,
! [X3,X4] :
( ~ aElementOf0(X4,szDzozmdt0(X3))
| aElementOf0(sdtlpdtrp0(X3,X4),sdtlcdtrc0(X3,szDzozmdt0(X3)))
| ~ aFunction0(X3) ),
inference(shift_quantors,[status(thm)],[97]) ).
cnf(99,plain,
( aElementOf0(sdtlpdtrp0(X1,X2),sdtlcdtrc0(X1,szDzozmdt0(X1)))
| ~ aFunction0(X1)
| ~ aElementOf0(X2,szDzozmdt0(X1)) ),
inference(split_conjunct,[status(thm)],[98]) ).
fof(146,plain,
! [X1] :
( ~ aSet0(X1)
| ~ isCountable0(X1)
| ~ isFinite0(X1) ),
inference(fof_nnf,[status(thm)],[82]) ).
fof(147,plain,
! [X2] :
( ~ aSet0(X2)
| ~ isCountable0(X2)
| ~ isFinite0(X2) ),
inference(variable_rename,[status(thm)],[146]) ).
cnf(148,plain,
( ~ isFinite0(X1)
| ~ isCountable0(X1)
| ~ aSet0(X1) ),
inference(split_conjunct,[status(thm)],[147]) ).
cnf(149,plain,
aSubsetOf0(sdtlcdtrc0(xc,szDzozmdt0(xc)),xT),
inference(split_conjunct,[status(thm)],[15]) ).
cnf(150,plain,
szDzozmdt0(xc) = slbdtsldtrb0(xS,xK),
inference(split_conjunct,[status(thm)],[15]) ).
cnf(151,plain,
aFunction0(xc),
inference(split_conjunct,[status(thm)],[15]) ).
fof(160,plain,
! [X1] :
( ~ aSet0(X1)
| ! [X2] :
( ( ~ aSubsetOf0(X2,X1)
| ( aSet0(X2)
& ! [X3] :
( ~ aElementOf0(X3,X2)
| aElementOf0(X3,X1) ) ) )
& ( ~ aSet0(X2)
| ? [X3] :
( aElementOf0(X3,X2)
& ~ aElementOf0(X3,X1) )
| aSubsetOf0(X2,X1) ) ) ),
inference(fof_nnf,[status(thm)],[18]) ).
fof(161,plain,
! [X4] :
( ~ aSet0(X4)
| ! [X5] :
( ( ~ aSubsetOf0(X5,X4)
| ( aSet0(X5)
& ! [X6] :
( ~ aElementOf0(X6,X5)
| aElementOf0(X6,X4) ) ) )
& ( ~ aSet0(X5)
| ? [X7] :
( aElementOf0(X7,X5)
& ~ aElementOf0(X7,X4) )
| aSubsetOf0(X5,X4) ) ) ),
inference(variable_rename,[status(thm)],[160]) ).
fof(162,plain,
! [X4] :
( ~ aSet0(X4)
| ! [X5] :
( ( ~ aSubsetOf0(X5,X4)
| ( aSet0(X5)
& ! [X6] :
( ~ aElementOf0(X6,X5)
| aElementOf0(X6,X4) ) ) )
& ( ~ aSet0(X5)
| ( aElementOf0(esk4_2(X4,X5),X5)
& ~ aElementOf0(esk4_2(X4,X5),X4) )
| aSubsetOf0(X5,X4) ) ) ),
inference(skolemize,[status(esa)],[161]) ).
fof(163,plain,
! [X4,X5,X6] :
( ( ( ( ( ~ aElementOf0(X6,X5)
| aElementOf0(X6,X4) )
& aSet0(X5) )
| ~ aSubsetOf0(X5,X4) )
& ( ~ aSet0(X5)
| ( aElementOf0(esk4_2(X4,X5),X5)
& ~ aElementOf0(esk4_2(X4,X5),X4) )
| aSubsetOf0(X5,X4) ) )
| ~ aSet0(X4) ),
inference(shift_quantors,[status(thm)],[162]) ).
fof(164,plain,
! [X4,X5,X6] :
( ( ~ aElementOf0(X6,X5)
| aElementOf0(X6,X4)
| ~ aSubsetOf0(X5,X4)
| ~ aSet0(X4) )
& ( aSet0(X5)
| ~ aSubsetOf0(X5,X4)
| ~ aSet0(X4) )
& ( aElementOf0(esk4_2(X4,X5),X5)
| ~ aSet0(X5)
| aSubsetOf0(X5,X4)
| ~ aSet0(X4) )
& ( ~ aElementOf0(esk4_2(X4,X5),X4)
| ~ aSet0(X5)
| aSubsetOf0(X5,X4)
| ~ aSet0(X4) ) ),
inference(distribute,[status(thm)],[163]) ).
cnf(167,plain,
( aSet0(X2)
| ~ aSet0(X1)
| ~ aSubsetOf0(X2,X1) ),
inference(split_conjunct,[status(thm)],[164]) ).
cnf(168,plain,
( aElementOf0(X3,X1)
| ~ aSet0(X1)
| ~ aSubsetOf0(X2,X1)
| ~ aElementOf0(X3,X2) ),
inference(split_conjunct,[status(thm)],[164]) ).
fof(258,plain,
! [X1] :
( ~ aSet0(X1)
| isFinite0(X1)
| ! [X2] :
( ~ aElementOf0(X2,szNzAzT0)
| ~ equal(slbdtsldtrb0(X1,X2),slcrc0) ) ),
inference(fof_nnf,[status(thm)],[83]) ).
fof(259,plain,
! [X3] :
( ~ aSet0(X3)
| isFinite0(X3)
| ! [X4] :
( ~ aElementOf0(X4,szNzAzT0)
| ~ equal(slbdtsldtrb0(X3,X4),slcrc0) ) ),
inference(variable_rename,[status(thm)],[258]) ).
fof(260,plain,
! [X3,X4] :
( ~ aElementOf0(X4,szNzAzT0)
| ~ equal(slbdtsldtrb0(X3,X4),slcrc0)
| ~ aSet0(X3)
| isFinite0(X3) ),
inference(shift_quantors,[status(thm)],[259]) ).
cnf(261,plain,
( isFinite0(X1)
| ~ aSet0(X1)
| slbdtsldtrb0(X1,X2) != slcrc0
| ~ aElementOf0(X2,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[260]) ).
fof(273,plain,
! [X1] :
( ( ~ equal(X1,slcrc0)
| ( aSet0(X1)
& ! [X2] : ~ aElementOf0(X2,X1) ) )
& ( ~ aSet0(X1)
| ? [X2] : aElementOf0(X2,X1)
| equal(X1,slcrc0) ) ),
inference(fof_nnf,[status(thm)],[39]) ).
fof(274,plain,
! [X3] :
( ( ~ equal(X3,slcrc0)
| ( aSet0(X3)
& ! [X4] : ~ aElementOf0(X4,X3) ) )
& ( ~ aSet0(X3)
| ? [X5] : aElementOf0(X5,X3)
| equal(X3,slcrc0) ) ),
inference(variable_rename,[status(thm)],[273]) ).
fof(275,plain,
! [X3] :
( ( ~ equal(X3,slcrc0)
| ( aSet0(X3)
& ! [X4] : ~ aElementOf0(X4,X3) ) )
& ( ~ aSet0(X3)
| aElementOf0(esk13_1(X3),X3)
| equal(X3,slcrc0) ) ),
inference(skolemize,[status(esa)],[274]) ).
fof(276,plain,
! [X3,X4] :
( ( ( ~ aElementOf0(X4,X3)
& aSet0(X3) )
| ~ equal(X3,slcrc0) )
& ( ~ aSet0(X3)
| aElementOf0(esk13_1(X3),X3)
| equal(X3,slcrc0) ) ),
inference(shift_quantors,[status(thm)],[275]) ).
fof(277,plain,
! [X3,X4] :
( ( ~ aElementOf0(X4,X3)
| ~ equal(X3,slcrc0) )
& ( aSet0(X3)
| ~ equal(X3,slcrc0) )
& ( ~ aSet0(X3)
| aElementOf0(esk13_1(X3),X3)
| equal(X3,slcrc0) ) ),
inference(distribute,[status(thm)],[276]) ).
cnf(278,plain,
( X1 = slcrc0
| aElementOf0(esk13_1(X1),X1)
| ~ aSet0(X1) ),
inference(split_conjunct,[status(thm)],[277]) ).
cnf(282,plain,
aSet0(xT),
inference(split_conjunct,[status(thm)],[40]) ).
cnf(292,plain,
aElementOf0(sz00,szNzAzT0),
inference(split_conjunct,[status(thm)],[44]) ).
fof(360,plain,
! [X1,X2] :
( ~ aSet0(X1)
| ~ aElementOf0(X2,szNzAzT0)
| ! [X3] :
( ( ~ equal(X3,slbdtsldtrb0(X1,X2))
| ( aSet0(X3)
& ! [X4] :
( ( ~ aElementOf0(X4,X3)
| ( aSubsetOf0(X4,X1)
& equal(sbrdtbr0(X4),X2) ) )
& ( ~ aSubsetOf0(X4,X1)
| ~ equal(sbrdtbr0(X4),X2)
| aElementOf0(X4,X3) ) ) ) )
& ( ~ aSet0(X3)
| ? [X4] :
( ( ~ aElementOf0(X4,X3)
| ~ aSubsetOf0(X4,X1)
| ~ equal(sbrdtbr0(X4),X2) )
& ( aElementOf0(X4,X3)
| ( aSubsetOf0(X4,X1)
& equal(sbrdtbr0(X4),X2) ) ) )
| equal(X3,slbdtsldtrb0(X1,X2)) ) ) ),
inference(fof_nnf,[status(thm)],[59]) ).
fof(361,plain,
! [X5,X6] :
( ~ aSet0(X5)
| ~ aElementOf0(X6,szNzAzT0)
| ! [X7] :
( ( ~ equal(X7,slbdtsldtrb0(X5,X6))
| ( aSet0(X7)
& ! [X8] :
( ( ~ aElementOf0(X8,X7)
| ( aSubsetOf0(X8,X5)
& equal(sbrdtbr0(X8),X6) ) )
& ( ~ aSubsetOf0(X8,X5)
| ~ equal(sbrdtbr0(X8),X6)
| aElementOf0(X8,X7) ) ) ) )
& ( ~ aSet0(X7)
| ? [X9] :
( ( ~ aElementOf0(X9,X7)
| ~ aSubsetOf0(X9,X5)
| ~ equal(sbrdtbr0(X9),X6) )
& ( aElementOf0(X9,X7)
| ( aSubsetOf0(X9,X5)
& equal(sbrdtbr0(X9),X6) ) ) )
| equal(X7,slbdtsldtrb0(X5,X6)) ) ) ),
inference(variable_rename,[status(thm)],[360]) ).
fof(362,plain,
! [X5,X6] :
( ~ aSet0(X5)
| ~ aElementOf0(X6,szNzAzT0)
| ! [X7] :
( ( ~ equal(X7,slbdtsldtrb0(X5,X6))
| ( aSet0(X7)
& ! [X8] :
( ( ~ aElementOf0(X8,X7)
| ( aSubsetOf0(X8,X5)
& equal(sbrdtbr0(X8),X6) ) )
& ( ~ aSubsetOf0(X8,X5)
| ~ equal(sbrdtbr0(X8),X6)
| aElementOf0(X8,X7) ) ) ) )
& ( ~ aSet0(X7)
| ( ( ~ aElementOf0(esk19_3(X5,X6,X7),X7)
| ~ aSubsetOf0(esk19_3(X5,X6,X7),X5)
| ~ equal(sbrdtbr0(esk19_3(X5,X6,X7)),X6) )
& ( aElementOf0(esk19_3(X5,X6,X7),X7)
| ( aSubsetOf0(esk19_3(X5,X6,X7),X5)
& equal(sbrdtbr0(esk19_3(X5,X6,X7)),X6) ) ) )
| equal(X7,slbdtsldtrb0(X5,X6)) ) ) ),
inference(skolemize,[status(esa)],[361]) ).
fof(363,plain,
! [X5,X6,X7,X8] :
( ( ( ( ( ~ aElementOf0(X8,X7)
| ( aSubsetOf0(X8,X5)
& equal(sbrdtbr0(X8),X6) ) )
& ( ~ aSubsetOf0(X8,X5)
| ~ equal(sbrdtbr0(X8),X6)
| aElementOf0(X8,X7) )
& aSet0(X7) )
| ~ equal(X7,slbdtsldtrb0(X5,X6)) )
& ( ~ aSet0(X7)
| ( ( ~ aElementOf0(esk19_3(X5,X6,X7),X7)
| ~ aSubsetOf0(esk19_3(X5,X6,X7),X5)
| ~ equal(sbrdtbr0(esk19_3(X5,X6,X7)),X6) )
& ( aElementOf0(esk19_3(X5,X6,X7),X7)
| ( aSubsetOf0(esk19_3(X5,X6,X7),X5)
& equal(sbrdtbr0(esk19_3(X5,X6,X7)),X6) ) ) )
| equal(X7,slbdtsldtrb0(X5,X6)) ) )
| ~ aSet0(X5)
| ~ aElementOf0(X6,szNzAzT0) ),
inference(shift_quantors,[status(thm)],[362]) ).
fof(364,plain,
! [X5,X6,X7,X8] :
( ( aSubsetOf0(X8,X5)
| ~ aElementOf0(X8,X7)
| ~ equal(X7,slbdtsldtrb0(X5,X6))
| ~ aSet0(X5)
| ~ aElementOf0(X6,szNzAzT0) )
& ( equal(sbrdtbr0(X8),X6)
| ~ aElementOf0(X8,X7)
| ~ equal(X7,slbdtsldtrb0(X5,X6))
| ~ aSet0(X5)
| ~ aElementOf0(X6,szNzAzT0) )
& ( ~ aSubsetOf0(X8,X5)
| ~ equal(sbrdtbr0(X8),X6)
| aElementOf0(X8,X7)
| ~ equal(X7,slbdtsldtrb0(X5,X6))
| ~ aSet0(X5)
| ~ aElementOf0(X6,szNzAzT0) )
& ( aSet0(X7)
| ~ equal(X7,slbdtsldtrb0(X5,X6))
| ~ aSet0(X5)
| ~ aElementOf0(X6,szNzAzT0) )
& ( ~ aElementOf0(esk19_3(X5,X6,X7),X7)
| ~ aSubsetOf0(esk19_3(X5,X6,X7),X5)
| ~ equal(sbrdtbr0(esk19_3(X5,X6,X7)),X6)
| ~ aSet0(X7)
| equal(X7,slbdtsldtrb0(X5,X6))
| ~ aSet0(X5)
| ~ aElementOf0(X6,szNzAzT0) )
& ( aSubsetOf0(esk19_3(X5,X6,X7),X5)
| aElementOf0(esk19_3(X5,X6,X7),X7)
| ~ aSet0(X7)
| equal(X7,slbdtsldtrb0(X5,X6))
| ~ aSet0(X5)
| ~ aElementOf0(X6,szNzAzT0) )
& ( equal(sbrdtbr0(esk19_3(X5,X6,X7)),X6)
| aElementOf0(esk19_3(X5,X6,X7),X7)
| ~ aSet0(X7)
| equal(X7,slbdtsldtrb0(X5,X6))
| ~ aSet0(X5)
| ~ aElementOf0(X6,szNzAzT0) ) ),
inference(distribute,[status(thm)],[363]) ).
cnf(368,plain,
( aSet0(X3)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(X2)
| X3 != slbdtsldtrb0(X2,X1) ),
inference(split_conjunct,[status(thm)],[364]) ).
cnf(370,plain,
( sbrdtbr0(X4) = X1
| ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(X2)
| X3 != slbdtsldtrb0(X2,X1)
| ~ aElementOf0(X4,X3) ),
inference(split_conjunct,[status(thm)],[364]) ).
cnf(371,plain,
( aSubsetOf0(X4,X2)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(X2)
| X3 != slbdtsldtrb0(X2,X1)
| ~ aElementOf0(X4,X3) ),
inference(split_conjunct,[status(thm)],[364]) ).
fof(372,plain,
! [X1] :
( ~ aSet0(X1)
| ( ( ~ equal(sbrdtbr0(X1),sz00)
| equal(X1,slcrc0) )
& ( ~ equal(X1,slcrc0)
| equal(sbrdtbr0(X1),sz00) ) ) ),
inference(fof_nnf,[status(thm)],[60]) ).
fof(373,plain,
! [X2] :
( ~ aSet0(X2)
| ( ( ~ equal(sbrdtbr0(X2),sz00)
| equal(X2,slcrc0) )
& ( ~ equal(X2,slcrc0)
| equal(sbrdtbr0(X2),sz00) ) ) ),
inference(variable_rename,[status(thm)],[372]) ).
fof(374,plain,
! [X2] :
( ( ~ equal(sbrdtbr0(X2),sz00)
| equal(X2,slcrc0)
| ~ aSet0(X2) )
& ( ~ equal(X2,slcrc0)
| equal(sbrdtbr0(X2),sz00)
| ~ aSet0(X2) ) ),
inference(distribute,[status(thm)],[373]) ).
cnf(376,plain,
( X1 = slcrc0
| ~ aSet0(X1)
| sbrdtbr0(X1) != sz00 ),
inference(split_conjunct,[status(thm)],[374]) ).
cnf(378,plain,
aSet0(szNzAzT0),
inference(split_conjunct,[status(thm)],[61]) ).
cnf(385,plain,
isCountable0(xS),
inference(split_conjunct,[status(thm)],[64]) ).
cnf(386,plain,
aSubsetOf0(xS,szNzAzT0),
inference(split_conjunct,[status(thm)],[64]) ).
fof(428,negated_conjecture,
( equal(xK,sz00)
& ! [X1] :
( ~ aElementOf0(X1,xT)
| ! [X2] :
( ~ aSubsetOf0(X2,xS)
| ~ isCountable0(X2)
| ? [X3] :
( aElementOf0(X3,slbdtsldtrb0(X2,xK))
& ~ equal(sdtlpdtrp0(xc,X3),X1) ) ) ) ),
inference(fof_nnf,[status(thm)],[79]) ).
fof(429,negated_conjecture,
( equal(xK,sz00)
& ! [X4] :
( ~ aElementOf0(X4,xT)
| ! [X5] :
( ~ aSubsetOf0(X5,xS)
| ~ isCountable0(X5)
| ? [X6] :
( aElementOf0(X6,slbdtsldtrb0(X5,xK))
& ~ equal(sdtlpdtrp0(xc,X6),X4) ) ) ) ),
inference(variable_rename,[status(thm)],[428]) ).
fof(430,negated_conjecture,
( equal(xK,sz00)
& ! [X4] :
( ~ aElementOf0(X4,xT)
| ! [X5] :
( ~ aSubsetOf0(X5,xS)
| ~ isCountable0(X5)
| ( aElementOf0(esk21_2(X4,X5),slbdtsldtrb0(X5,xK))
& ~ equal(sdtlpdtrp0(xc,esk21_2(X4,X5)),X4) ) ) ) ),
inference(skolemize,[status(esa)],[429]) ).
fof(431,negated_conjecture,
! [X4,X5] :
( ( ~ aSubsetOf0(X5,xS)
| ~ isCountable0(X5)
| ( aElementOf0(esk21_2(X4,X5),slbdtsldtrb0(X5,xK))
& ~ equal(sdtlpdtrp0(xc,esk21_2(X4,X5)),X4) )
| ~ aElementOf0(X4,xT) )
& equal(xK,sz00) ),
inference(shift_quantors,[status(thm)],[430]) ).
fof(432,negated_conjecture,
! [X4,X5] :
( ( aElementOf0(esk21_2(X4,X5),slbdtsldtrb0(X5,xK))
| ~ aSubsetOf0(X5,xS)
| ~ isCountable0(X5)
| ~ aElementOf0(X4,xT) )
& ( ~ equal(sdtlpdtrp0(xc,esk21_2(X4,X5)),X4)
| ~ aSubsetOf0(X5,xS)
| ~ isCountable0(X5)
| ~ aElementOf0(X4,xT) )
& equal(xK,sz00) ),
inference(distribute,[status(thm)],[431]) ).
cnf(433,negated_conjecture,
xK = sz00,
inference(split_conjunct,[status(thm)],[432]) ).
cnf(434,negated_conjecture,
( ~ aElementOf0(X1,xT)
| ~ isCountable0(X2)
| ~ aSubsetOf0(X2,xS)
| sdtlpdtrp0(xc,esk21_2(X1,X2)) != X1 ),
inference(split_conjunct,[status(thm)],[432]) ).
cnf(435,negated_conjecture,
( aElementOf0(esk21_2(X1,X2),slbdtsldtrb0(X2,xK))
| ~ aElementOf0(X1,xT)
| ~ isCountable0(X2)
| ~ aSubsetOf0(X2,xS) ),
inference(split_conjunct,[status(thm)],[432]) ).
cnf(460,plain,
slbdtsldtrb0(xS,sz00) = szDzozmdt0(xc),
inference(rw,[status(thm)],[150,433,theory(equality)]) ).
cnf(468,plain,
( ~ isFinite0(xS)
| ~ aSet0(xS) ),
inference(spm,[status(thm)],[148,385,theory(equality)]) ).
cnf(476,plain,
( aSet0(xS)
| ~ aSet0(szNzAzT0) ),
inference(spm,[status(thm)],[167,386,theory(equality)]) ).
cnf(479,plain,
( aSet0(xS)
| $false ),
inference(rw,[status(thm)],[476,378,theory(equality)]) ).
cnf(480,plain,
aSet0(xS),
inference(cn,[status(thm)],[479,theory(equality)]) ).
cnf(502,plain,
( aElementOf0(X1,xT)
| ~ aElementOf0(X1,sdtlcdtrc0(xc,szDzozmdt0(xc)))
| ~ aSet0(xT) ),
inference(spm,[status(thm)],[168,149,theory(equality)]) ).
cnf(506,plain,
( aElementOf0(X1,xT)
| ~ aElementOf0(X1,sdtlcdtrc0(xc,szDzozmdt0(xc)))
| $false ),
inference(rw,[status(thm)],[502,282,theory(equality)]) ).
cnf(507,plain,
( aElementOf0(X1,xT)
| ~ aElementOf0(X1,sdtlcdtrc0(xc,szDzozmdt0(xc))) ),
inference(cn,[status(thm)],[506,theory(equality)]) ).
cnf(518,negated_conjecture,
( aElementOf0(esk21_2(X1,X2),slbdtsldtrb0(X2,sz00))
| ~ isCountable0(X2)
| ~ aSubsetOf0(X2,xS)
| ~ aElementOf0(X1,xT) ),
inference(rw,[status(thm)],[435,433,theory(equality)]) ).
cnf(519,plain,
( aElementOf0(esk21_2(X1,xS),szDzozmdt0(xc))
| ~ isCountable0(xS)
| ~ aElementOf0(X1,xT)
| ~ aSubsetOf0(xS,xS) ),
inference(spm,[status(thm)],[518,460,theory(equality)]) ).
cnf(522,plain,
( aElementOf0(esk21_2(X1,xS),szDzozmdt0(xc))
| $false
| ~ aElementOf0(X1,xT)
| ~ aSubsetOf0(xS,xS) ),
inference(rw,[status(thm)],[519,385,theory(equality)]) ).
cnf(523,plain,
( aElementOf0(esk21_2(X1,xS),szDzozmdt0(xc))
| ~ aElementOf0(X1,xT)
| ~ aSubsetOf0(xS,xS) ),
inference(cn,[status(thm)],[522,theory(equality)]) ).
cnf(573,plain,
( aSet0(X1)
| szDzozmdt0(xc) != X1
| ~ aElementOf0(sz00,szNzAzT0)
| ~ aSet0(xS) ),
inference(spm,[status(thm)],[368,460,theory(equality)]) ).
cnf(574,plain,
( aSet0(X1)
| szDzozmdt0(xc) != X1
| $false
| ~ aSet0(xS) ),
inference(rw,[status(thm)],[573,292,theory(equality)]) ).
cnf(575,plain,
( aSet0(X1)
| szDzozmdt0(xc) != X1
| ~ aSet0(xS) ),
inference(cn,[status(thm)],[574,theory(equality)]) ).
cnf(576,plain,
( isFinite0(xS)
| szDzozmdt0(xc) != slcrc0
| ~ aElementOf0(sz00,szNzAzT0)
| ~ aSet0(xS) ),
inference(spm,[status(thm)],[261,460,theory(equality)]) ).
cnf(577,plain,
( isFinite0(xS)
| szDzozmdt0(xc) != slcrc0
| $false
| ~ aSet0(xS) ),
inference(rw,[status(thm)],[576,292,theory(equality)]) ).
cnf(578,plain,
( isFinite0(xS)
| szDzozmdt0(xc) != slcrc0
| ~ aSet0(xS) ),
inference(cn,[status(thm)],[577,theory(equality)]) ).
cnf(599,plain,
( aSubsetOf0(X1,X2)
| ~ aElementOf0(X3,szNzAzT0)
| ~ aElementOf0(X1,slbdtsldtrb0(X2,X3))
| ~ aSet0(X2) ),
inference(er,[status(thm)],[371,theory(equality)]) ).
cnf(701,plain,
( sbrdtbr0(X1) = X2
| ~ aElementOf0(X2,szNzAzT0)
| ~ aElementOf0(X1,slbdtsldtrb0(X3,X2))
| ~ aSet0(X3) ),
inference(er,[status(thm)],[370,theory(equality)]) ).
cnf(1004,plain,
( ~ isFinite0(xS)
| $false ),
inference(rw,[status(thm)],[468,480,theory(equality)]) ).
cnf(1005,plain,
~ isFinite0(xS),
inference(cn,[status(thm)],[1004,theory(equality)]) ).
cnf(1326,plain,
( aElementOf0(sdtlpdtrp0(xc,X1),xT)
| ~ aFunction0(xc)
| ~ aElementOf0(X1,szDzozmdt0(xc)) ),
inference(spm,[status(thm)],[507,99,theory(equality)]) ).
cnf(1336,plain,
( aElementOf0(sdtlpdtrp0(xc,X1),xT)
| $false
| ~ aElementOf0(X1,szDzozmdt0(xc)) ),
inference(rw,[status(thm)],[1326,151,theory(equality)]) ).
cnf(1337,plain,
( aElementOf0(sdtlpdtrp0(xc,X1),xT)
| ~ aElementOf0(X1,szDzozmdt0(xc)) ),
inference(cn,[status(thm)],[1336,theory(equality)]) ).
cnf(1568,plain,
( isFinite0(xS)
| szDzozmdt0(xc) != slcrc0
| $false ),
inference(rw,[status(thm)],[578,480,theory(equality)]) ).
cnf(1569,plain,
( isFinite0(xS)
| szDzozmdt0(xc) != slcrc0 ),
inference(cn,[status(thm)],[1568,theory(equality)]) ).
cnf(1570,plain,
szDzozmdt0(xc) != slcrc0,
inference(sr,[status(thm)],[1569,1005,theory(equality)]) ).
cnf(2059,plain,
( aSet0(X1)
| szDzozmdt0(xc) != X1
| $false ),
inference(rw,[status(thm)],[575,480,theory(equality)]) ).
cnf(2060,plain,
( aSet0(X1)
| szDzozmdt0(xc) != X1 ),
inference(cn,[status(thm)],[2059,theory(equality)]) ).
cnf(2061,plain,
aSet0(szDzozmdt0(xc)),
inference(er,[status(thm)],[2060,theory(equality)]) ).
cnf(2813,plain,
( aSubsetOf0(X1,xS)
| ~ aElementOf0(X1,szDzozmdt0(xc))
| ~ aElementOf0(sz00,szNzAzT0)
| ~ aSet0(xS) ),
inference(spm,[status(thm)],[599,460,theory(equality)]) ).
cnf(2823,plain,
( aSubsetOf0(X1,xS)
| ~ aElementOf0(X1,szDzozmdt0(xc))
| $false
| ~ aSet0(xS) ),
inference(rw,[status(thm)],[2813,292,theory(equality)]) ).
cnf(2824,plain,
( aSubsetOf0(X1,xS)
| ~ aElementOf0(X1,szDzozmdt0(xc))
| $false
| $false ),
inference(rw,[status(thm)],[2823,480,theory(equality)]) ).
cnf(2825,plain,
( aSubsetOf0(X1,xS)
| ~ aElementOf0(X1,szDzozmdt0(xc)) ),
inference(cn,[status(thm)],[2824,theory(equality)]) ).
cnf(2851,plain,
( aSubsetOf0(esk13_1(szDzozmdt0(xc)),xS)
| slcrc0 = szDzozmdt0(xc)
| ~ aSet0(szDzozmdt0(xc)) ),
inference(spm,[status(thm)],[2825,278,theory(equality)]) ).
cnf(2860,plain,
( aSubsetOf0(esk21_2(X1,xS),xS)
| ~ aElementOf0(X1,xT)
| ~ aSubsetOf0(xS,xS) ),
inference(spm,[status(thm)],[2825,523,theory(equality)]) ).
cnf(2862,plain,
( aSubsetOf0(esk13_1(szDzozmdt0(xc)),xS)
| slcrc0 = szDzozmdt0(xc)
| $false ),
inference(rw,[status(thm)],[2851,2061,theory(equality)]) ).
cnf(2863,plain,
( aSubsetOf0(esk13_1(szDzozmdt0(xc)),xS)
| slcrc0 = szDzozmdt0(xc) ),
inference(cn,[status(thm)],[2862,theory(equality)]) ).
cnf(2864,plain,
aSubsetOf0(esk13_1(szDzozmdt0(xc)),xS),
inference(sr,[status(thm)],[2863,1570,theory(equality)]) ).
cnf(2874,plain,
( aSet0(esk13_1(szDzozmdt0(xc)))
| ~ aSet0(xS) ),
inference(spm,[status(thm)],[167,2864,theory(equality)]) ).
cnf(2884,plain,
( aSet0(esk13_1(szDzozmdt0(xc)))
| $false ),
inference(rw,[status(thm)],[2874,480,theory(equality)]) ).
cnf(2885,plain,
aSet0(esk13_1(szDzozmdt0(xc))),
inference(cn,[status(thm)],[2884,theory(equality)]) ).
cnf(2917,plain,
( aSet0(esk21_2(X1,xS))
| ~ aSet0(xS)
| ~ aElementOf0(X1,xT)
| ~ aSubsetOf0(xS,xS) ),
inference(spm,[status(thm)],[167,2860,theory(equality)]) ).
cnf(2927,plain,
( aSet0(esk21_2(X1,xS))
| $false
| ~ aElementOf0(X1,xT)
| ~ aSubsetOf0(xS,xS) ),
inference(rw,[status(thm)],[2917,480,theory(equality)]) ).
cnf(2928,plain,
( aSet0(esk21_2(X1,xS))
| ~ aElementOf0(X1,xT)
| ~ aSubsetOf0(xS,xS) ),
inference(cn,[status(thm)],[2927,theory(equality)]) ).
cnf(5634,plain,
( sbrdtbr0(X1) = sz00
| ~ aElementOf0(X1,szDzozmdt0(xc))
| ~ aElementOf0(sz00,szNzAzT0)
| ~ aSet0(xS) ),
inference(spm,[status(thm)],[701,460,theory(equality)]) ).
cnf(5646,plain,
( sbrdtbr0(X1) = sz00
| ~ aElementOf0(X1,szDzozmdt0(xc))
| $false
| ~ aSet0(xS) ),
inference(rw,[status(thm)],[5634,292,theory(equality)]) ).
cnf(5647,plain,
( sbrdtbr0(X1) = sz00
| ~ aElementOf0(X1,szDzozmdt0(xc))
| $false
| $false ),
inference(rw,[status(thm)],[5646,480,theory(equality)]) ).
cnf(5648,plain,
( sbrdtbr0(X1) = sz00
| ~ aElementOf0(X1,szDzozmdt0(xc)) ),
inference(cn,[status(thm)],[5647,theory(equality)]) ).
cnf(5696,plain,
( slcrc0 = X1
| ~ aSet0(X1)
| ~ aElementOf0(X1,szDzozmdt0(xc)) ),
inference(spm,[status(thm)],[376,5648,theory(equality)]) ).
cnf(5754,plain,
( slcrc0 = esk13_1(szDzozmdt0(xc))
| slcrc0 = szDzozmdt0(xc)
| ~ aSet0(esk13_1(szDzozmdt0(xc)))
| ~ aSet0(szDzozmdt0(xc)) ),
inference(spm,[status(thm)],[5696,278,theory(equality)]) ).
cnf(5763,plain,
( slcrc0 = esk21_2(X1,xS)
| ~ aSet0(esk21_2(X1,xS))
| ~ aElementOf0(X1,xT)
| ~ aSubsetOf0(xS,xS) ),
inference(spm,[status(thm)],[5696,523,theory(equality)]) ).
cnf(5766,plain,
( slcrc0 = esk13_1(szDzozmdt0(xc))
| slcrc0 = szDzozmdt0(xc)
| $false
| ~ aSet0(szDzozmdt0(xc)) ),
inference(rw,[status(thm)],[5754,2885,theory(equality)]) ).
cnf(5767,plain,
( slcrc0 = esk13_1(szDzozmdt0(xc))
| slcrc0 = szDzozmdt0(xc)
| $false
| $false ),
inference(rw,[status(thm)],[5766,2061,theory(equality)]) ).
cnf(5768,plain,
( slcrc0 = esk13_1(szDzozmdt0(xc))
| slcrc0 = szDzozmdt0(xc) ),
inference(cn,[status(thm)],[5767,theory(equality)]) ).
cnf(5769,plain,
esk13_1(szDzozmdt0(xc)) = slcrc0,
inference(sr,[status(thm)],[5768,1570,theory(equality)]) ).
cnf(5780,plain,
( slcrc0 = szDzozmdt0(xc)
| aElementOf0(slcrc0,szDzozmdt0(xc))
| ~ aSet0(szDzozmdt0(xc)) ),
inference(spm,[status(thm)],[278,5769,theory(equality)]) ).
cnf(5811,plain,
( slcrc0 = szDzozmdt0(xc)
| aElementOf0(slcrc0,szDzozmdt0(xc))
| $false ),
inference(rw,[status(thm)],[5780,2061,theory(equality)]) ).
cnf(5812,plain,
( slcrc0 = szDzozmdt0(xc)
| aElementOf0(slcrc0,szDzozmdt0(xc)) ),
inference(cn,[status(thm)],[5811,theory(equality)]) ).
cnf(5813,plain,
aElementOf0(slcrc0,szDzozmdt0(xc)),
inference(sr,[status(thm)],[5812,1570,theory(equality)]) ).
cnf(5864,plain,
( esk21_2(X1,xS) = slcrc0
| ~ aElementOf0(X1,xT)
| ~ aSubsetOf0(xS,xS) ),
inference(csr,[status(thm)],[5763,2928]) ).
cnf(5866,plain,
( sdtlpdtrp0(xc,slcrc0) != X1
| ~ isCountable0(xS)
| ~ aElementOf0(X1,xT)
| ~ aSubsetOf0(xS,xS) ),
inference(spm,[status(thm)],[434,5864,theory(equality)]) ).
cnf(5887,plain,
( sdtlpdtrp0(xc,slcrc0) != X1
| $false
| ~ aElementOf0(X1,xT)
| ~ aSubsetOf0(xS,xS) ),
inference(rw,[status(thm)],[5866,385,theory(equality)]) ).
cnf(5888,plain,
( sdtlpdtrp0(xc,slcrc0) != X1
| ~ aElementOf0(X1,xT)
| ~ aSubsetOf0(xS,xS) ),
inference(cn,[status(thm)],[5887,theory(equality)]) ).
cnf(5925,plain,
( ~ aElementOf0(sdtlpdtrp0(xc,slcrc0),xT)
| ~ aSubsetOf0(xS,xS) ),
inference(er,[status(thm)],[5888,theory(equality)]) ).
cnf(5926,plain,
( ~ aSubsetOf0(xS,xS)
| ~ aElementOf0(slcrc0,szDzozmdt0(xc)) ),
inference(spm,[status(thm)],[5925,1337,theory(equality)]) ).
cnf(5928,plain,
( ~ aSubsetOf0(xS,xS)
| $false ),
inference(rw,[status(thm)],[5926,5813,theory(equality)]) ).
cnf(5929,plain,
~ aSubsetOf0(xS,xS),
inference(cn,[status(thm)],[5928,theory(equality)]) ).
cnf(5930,plain,
~ aSet0(xS),
inference(spm,[status(thm)],[5929,87,theory(equality)]) ).
cnf(5934,plain,
$false,
inference(rw,[status(thm)],[5930,480,theory(equality)]) ).
cnf(5935,plain,
$false,
inference(cn,[status(thm)],[5934,theory(equality)]) ).
cnf(5936,plain,
$false,
5935,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM563+1 : TPTP v7.0.0. Released v4.0.0.
% 0.00/0.04 % Command : Source/sine.py -e eprover -t %d %s
% 0.03/0.23 % Computer : n095.star.cs.uiowa.edu
% 0.03/0.23 % Model : x86_64 x86_64
% 0.03/0.23 % CPU : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
% 0.03/0.23 % Memory : 32218.625MB
% 0.03/0.23 % OS : Linux 3.10.0-693.2.2.el7.x86_64
% 0.03/0.23 % CPULimit : 300
% 0.03/0.23 % DateTime : Fri Jan 5 08:59:15 CST 2018
% 0.03/0.23 % CPUTime :
% 0.03/0.28 % SZS status Started for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.03/0.28 --creating new selector for []
% 0.06/0.51 -running prover on /export/starexec/sandbox/tmp/tmpk0C0ql/sel_theBenchmark.p_1 with time limit 29
% 0.06/0.51 -running prover with command ['/export/starexec/sandbox/solver/bin/Source/./Source/PROVER/eproof.working', '-s', '-tLPO4', '-xAuto', '-tAuto', '--memory-limit=768', '--tptp3-format', '--cpu-limit=29', '/export/starexec/sandbox/tmp/tmpk0C0ql/sel_theBenchmark.p_1']
% 0.06/0.51 -prover status Theorem
% 0.06/0.51 Problem theBenchmark.p solved in phase 0.
% 0.06/0.51 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.06/0.51 % SZS status Ended for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.06/0.51 Solved 1 out of 1.
% 0.06/0.51 # Problem is unsatisfiable (or provable), constructing proof object
% 0.06/0.51 # SZS status Theorem
% 0.06/0.51 # SZS output start CNFRefutation.
% See solution above
% 0.06/0.52 # SZS output end CNFRefutation
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