TSTP Solution File: NUM563+3 by SInE---0.4
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- Process Solution
%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : NUM563+3 : TPTP v7.0.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : n114.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 5.74s
% Output : CNFRefutation 5.74s
% Verified :
% SZS Type : Refutation
% Derivation depth : 30
% Number of leaves : 7
% Syntax : Number of formulae : 87 ( 17 unt; 0 def)
% Number of atoms : 534 ( 24 equ)
% Maximal formula atoms : 88 ( 6 avg)
% Number of connectives : 694 ( 247 ~; 251 |; 175 &)
% ( 3 <=>; 18 =>; 0 <=; 0 <~>)
% Maximal formula depth : 26 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-2 aty)
% Number of functors : 17 ( 17 usr; 7 con; 0-2 aty)
% Number of variables : 125 ( 2 sgn 81 !; 16 ?)
% Comments :
%------------------------------------------------------------------------------
fof(1,axiom,
! [X1] :
( aSet0(X1)
=> aSubsetOf0(X1,X1) ),
file('/export/starexec/sandbox2/tmp/tmpiEFuqq/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/sandbox2/tmp/tmpiEFuqq/sel_theBenchmark.p_1',mImgRng) ).
fof(15,axiom,
( aFunction0(xc)
& ! [X1] :
( ( aElementOf0(X1,szDzozmdt0(xc))
=> ( aSet0(X1)
& ! [X2] :
( aElementOf0(X2,X1)
=> aElementOf0(X2,xS) )
& aSubsetOf0(X1,xS)
& equal(sbrdtbr0(X1),xK) ) )
& ( ( ( ( aSet0(X1)
& ! [X2] :
( aElementOf0(X2,X1)
=> aElementOf0(X2,xS) ) )
| aSubsetOf0(X1,xS) )
& equal(sbrdtbr0(X1),xK) )
=> aElementOf0(X1,szDzozmdt0(xc)) ) )
& equal(szDzozmdt0(xc),slbdtsldtrb0(xS,xK))
& aSet0(sdtlcdtrc0(xc,szDzozmdt0(xc)))
& ! [X1] :
( aElementOf0(X1,sdtlcdtrc0(xc,szDzozmdt0(xc)))
<=> ? [X2] :
( aElementOf0(X2,szDzozmdt0(xc))
& equal(sdtlpdtrp0(xc,X2),X1) ) )
& ! [X1] :
( aElementOf0(X1,sdtlcdtrc0(xc,szDzozmdt0(xc)))
=> aElementOf0(X1,xT) )
& aSubsetOf0(sdtlcdtrc0(xc,szDzozmdt0(xc)),xT) ),
file('/export/starexec/sandbox2/tmp/tmpiEFuqq/sel_theBenchmark.p_1',m__3453) ).
fof(39,axiom,
! [X1] :
( equal(X1,slcrc0)
<=> ( aSet0(X1)
& ~ ? [X2] : aElementOf0(X2,X1) ) ),
file('/export/starexec/sandbox2/tmp/tmpiEFuqq/sel_theBenchmark.p_1',mDefEmp) ).
fof(60,axiom,
! [X1] :
( aSet0(X1)
=> ( equal(sbrdtbr0(X1),sz00)
<=> equal(X1,slcrc0) ) ),
file('/export/starexec/sandbox2/tmp/tmpiEFuqq/sel_theBenchmark.p_1',mCardEmpty) ).
fof(64,axiom,
( aSet0(xS)
& ! [X1] :
( aElementOf0(X1,xS)
=> aElementOf0(X1,szNzAzT0) )
& aSubsetOf0(xS,szNzAzT0)
& isCountable0(xS) ),
file('/export/starexec/sandbox2/tmp/tmpiEFuqq/sel_theBenchmark.p_1',m__3435) ).
fof(74,conjecture,
( equal(xK,sz00)
=> ? [X1] :
( aElementOf0(X1,xT)
& ? [X2] :
( ( ( aSet0(X2)
& ! [X3] :
( aElementOf0(X3,X2)
=> aElementOf0(X3,xS) ) )
| aSubsetOf0(X2,xS) )
& isCountable0(X2)
& ! [X3] :
( ( aSet0(X3)
& ! [X4] :
( aElementOf0(X4,X3)
=> aElementOf0(X4,X2) )
& aSubsetOf0(X3,X2)
& equal(sbrdtbr0(X3),xK)
& aElementOf0(X3,slbdtsldtrb0(X2,xK)) )
=> equal(sdtlpdtrp0(xc,X3),X1) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmpiEFuqq/sel_theBenchmark.p_1',m__) ).
fof(79,negated_conjecture,
~ ( equal(xK,sz00)
=> ? [X1] :
( aElementOf0(X1,xT)
& ? [X2] :
( ( ( aSet0(X2)
& ! [X3] :
( aElementOf0(X3,X2)
=> aElementOf0(X3,xS) ) )
| aSubsetOf0(X2,xS) )
& isCountable0(X2)
& ! [X3] :
( ( aSet0(X3)
& ! [X4] :
( aElementOf0(X4,X3)
=> aElementOf0(X4,X2) )
& aSubsetOf0(X3,X2)
& equal(sbrdtbr0(X3),xK)
& aElementOf0(X3,slbdtsldtrb0(X2,xK)) )
=> equal(sdtlpdtrp0(xc,X3),X1) ) ) ) ),
inference(assume_negation,[status(cth)],[74]) ).
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(149,plain,
( aFunction0(xc)
& ! [X1] :
( ( ~ aElementOf0(X1,szDzozmdt0(xc))
| ( aSet0(X1)
& ! [X2] :
( ~ aElementOf0(X2,X1)
| aElementOf0(X2,xS) )
& aSubsetOf0(X1,xS)
& equal(sbrdtbr0(X1),xK) ) )
& ( ( ( ~ aSet0(X1)
| ? [X2] :
( aElementOf0(X2,X1)
& ~ aElementOf0(X2,xS) ) )
& ~ aSubsetOf0(X1,xS) )
| ~ equal(sbrdtbr0(X1),xK)
| aElementOf0(X1,szDzozmdt0(xc)) ) )
& equal(szDzozmdt0(xc),slbdtsldtrb0(xS,xK))
& aSet0(sdtlcdtrc0(xc,szDzozmdt0(xc)))
& ! [X1] :
( ( ~ aElementOf0(X1,sdtlcdtrc0(xc,szDzozmdt0(xc)))
| ? [X2] :
( aElementOf0(X2,szDzozmdt0(xc))
& equal(sdtlpdtrp0(xc,X2),X1) ) )
& ( ! [X2] :
( ~ aElementOf0(X2,szDzozmdt0(xc))
| ~ equal(sdtlpdtrp0(xc,X2),X1) )
| aElementOf0(X1,sdtlcdtrc0(xc,szDzozmdt0(xc))) ) )
& ! [X1] :
( ~ aElementOf0(X1,sdtlcdtrc0(xc,szDzozmdt0(xc)))
| aElementOf0(X1,xT) )
& aSubsetOf0(sdtlcdtrc0(xc,szDzozmdt0(xc)),xT) ),
inference(fof_nnf,[status(thm)],[15]) ).
fof(150,plain,
( aFunction0(xc)
& ! [X3] :
( ( ~ aElementOf0(X3,szDzozmdt0(xc))
| ( aSet0(X3)
& ! [X4] :
( ~ aElementOf0(X4,X3)
| aElementOf0(X4,xS) )
& aSubsetOf0(X3,xS)
& equal(sbrdtbr0(X3),xK) ) )
& ( ( ( ~ aSet0(X3)
| ? [X5] :
( aElementOf0(X5,X3)
& ~ aElementOf0(X5,xS) ) )
& ~ aSubsetOf0(X3,xS) )
| ~ equal(sbrdtbr0(X3),xK)
| aElementOf0(X3,szDzozmdt0(xc)) ) )
& equal(szDzozmdt0(xc),slbdtsldtrb0(xS,xK))
& aSet0(sdtlcdtrc0(xc,szDzozmdt0(xc)))
& ! [X6] :
( ( ~ aElementOf0(X6,sdtlcdtrc0(xc,szDzozmdt0(xc)))
| ? [X7] :
( aElementOf0(X7,szDzozmdt0(xc))
& equal(sdtlpdtrp0(xc,X7),X6) ) )
& ( ! [X8] :
( ~ aElementOf0(X8,szDzozmdt0(xc))
| ~ equal(sdtlpdtrp0(xc,X8),X6) )
| aElementOf0(X6,sdtlcdtrc0(xc,szDzozmdt0(xc))) ) )
& ! [X9] :
( ~ aElementOf0(X9,sdtlcdtrc0(xc,szDzozmdt0(xc)))
| aElementOf0(X9,xT) )
& aSubsetOf0(sdtlcdtrc0(xc,szDzozmdt0(xc)),xT) ),
inference(variable_rename,[status(thm)],[149]) ).
fof(151,plain,
( aFunction0(xc)
& ! [X3] :
( ( ~ aElementOf0(X3,szDzozmdt0(xc))
| ( aSet0(X3)
& ! [X4] :
( ~ aElementOf0(X4,X3)
| aElementOf0(X4,xS) )
& aSubsetOf0(X3,xS)
& equal(sbrdtbr0(X3),xK) ) )
& ( ( ( ~ aSet0(X3)
| ( aElementOf0(esk4_1(X3),X3)
& ~ aElementOf0(esk4_1(X3),xS) ) )
& ~ aSubsetOf0(X3,xS) )
| ~ equal(sbrdtbr0(X3),xK)
| aElementOf0(X3,szDzozmdt0(xc)) ) )
& equal(szDzozmdt0(xc),slbdtsldtrb0(xS,xK))
& aSet0(sdtlcdtrc0(xc,szDzozmdt0(xc)))
& ! [X6] :
( ( ~ aElementOf0(X6,sdtlcdtrc0(xc,szDzozmdt0(xc)))
| ( aElementOf0(esk5_1(X6),szDzozmdt0(xc))
& equal(sdtlpdtrp0(xc,esk5_1(X6)),X6) ) )
& ( ! [X8] :
( ~ aElementOf0(X8,szDzozmdt0(xc))
| ~ equal(sdtlpdtrp0(xc,X8),X6) )
| aElementOf0(X6,sdtlcdtrc0(xc,szDzozmdt0(xc))) ) )
& ! [X9] :
( ~ aElementOf0(X9,sdtlcdtrc0(xc,szDzozmdt0(xc)))
| aElementOf0(X9,xT) )
& aSubsetOf0(sdtlcdtrc0(xc,szDzozmdt0(xc)),xT) ),
inference(skolemize,[status(esa)],[150]) ).
fof(152,plain,
! [X3,X4,X6,X8,X9] :
( ( ~ aElementOf0(X9,sdtlcdtrc0(xc,szDzozmdt0(xc)))
| aElementOf0(X9,xT) )
& ( ~ aElementOf0(X8,szDzozmdt0(xc))
| ~ equal(sdtlpdtrp0(xc,X8),X6)
| aElementOf0(X6,sdtlcdtrc0(xc,szDzozmdt0(xc))) )
& ( ~ aElementOf0(X6,sdtlcdtrc0(xc,szDzozmdt0(xc)))
| ( aElementOf0(esk5_1(X6),szDzozmdt0(xc))
& equal(sdtlpdtrp0(xc,esk5_1(X6)),X6) ) )
& ( ( ( ~ aElementOf0(X4,X3)
| aElementOf0(X4,xS) )
& aSet0(X3)
& aSubsetOf0(X3,xS)
& equal(sbrdtbr0(X3),xK) )
| ~ aElementOf0(X3,szDzozmdt0(xc)) )
& ( ( ( ~ aSet0(X3)
| ( aElementOf0(esk4_1(X3),X3)
& ~ aElementOf0(esk4_1(X3),xS) ) )
& ~ aSubsetOf0(X3,xS) )
| ~ equal(sbrdtbr0(X3),xK)
| aElementOf0(X3,szDzozmdt0(xc)) )
& aFunction0(xc)
& equal(szDzozmdt0(xc),slbdtsldtrb0(xS,xK))
& aSet0(sdtlcdtrc0(xc,szDzozmdt0(xc)))
& aSubsetOf0(sdtlcdtrc0(xc,szDzozmdt0(xc)),xT) ),
inference(shift_quantors,[status(thm)],[151]) ).
fof(153,plain,
! [X3,X4,X6,X8,X9] :
( ( ~ aElementOf0(X9,sdtlcdtrc0(xc,szDzozmdt0(xc)))
| aElementOf0(X9,xT) )
& ( ~ aElementOf0(X8,szDzozmdt0(xc))
| ~ equal(sdtlpdtrp0(xc,X8),X6)
| aElementOf0(X6,sdtlcdtrc0(xc,szDzozmdt0(xc))) )
& ( aElementOf0(esk5_1(X6),szDzozmdt0(xc))
| ~ aElementOf0(X6,sdtlcdtrc0(xc,szDzozmdt0(xc))) )
& ( equal(sdtlpdtrp0(xc,esk5_1(X6)),X6)
| ~ aElementOf0(X6,sdtlcdtrc0(xc,szDzozmdt0(xc))) )
& ( ~ aElementOf0(X4,X3)
| aElementOf0(X4,xS)
| ~ aElementOf0(X3,szDzozmdt0(xc)) )
& ( aSet0(X3)
| ~ aElementOf0(X3,szDzozmdt0(xc)) )
& ( aSubsetOf0(X3,xS)
| ~ aElementOf0(X3,szDzozmdt0(xc)) )
& ( equal(sbrdtbr0(X3),xK)
| ~ aElementOf0(X3,szDzozmdt0(xc)) )
& ( aElementOf0(esk4_1(X3),X3)
| ~ aSet0(X3)
| ~ equal(sbrdtbr0(X3),xK)
| aElementOf0(X3,szDzozmdt0(xc)) )
& ( ~ aElementOf0(esk4_1(X3),xS)
| ~ aSet0(X3)
| ~ equal(sbrdtbr0(X3),xK)
| aElementOf0(X3,szDzozmdt0(xc)) )
& ( ~ aSubsetOf0(X3,xS)
| ~ equal(sbrdtbr0(X3),xK)
| aElementOf0(X3,szDzozmdt0(xc)) )
& aFunction0(xc)
& equal(szDzozmdt0(xc),slbdtsldtrb0(xS,xK))
& aSet0(sdtlcdtrc0(xc,szDzozmdt0(xc)))
& aSubsetOf0(sdtlcdtrc0(xc,szDzozmdt0(xc)),xT) ),
inference(distribute,[status(thm)],[152]) ).
cnf(156,plain,
szDzozmdt0(xc) = slbdtsldtrb0(xS,xK),
inference(split_conjunct,[status(thm)],[153]) ).
cnf(157,plain,
aFunction0(xc),
inference(split_conjunct,[status(thm)],[153]) ).
cnf(160,plain,
( aElementOf0(X1,szDzozmdt0(xc))
| aElementOf0(esk4_1(X1),X1)
| sbrdtbr0(X1) != xK
| ~ aSet0(X1) ),
inference(split_conjunct,[status(thm)],[153]) ).
cnf(161,plain,
( sbrdtbr0(X1) = xK
| ~ aElementOf0(X1,szDzozmdt0(xc)) ),
inference(split_conjunct,[status(thm)],[153]) ).
cnf(168,plain,
( aElementOf0(X1,xT)
| ~ aElementOf0(X1,sdtlcdtrc0(xc,szDzozmdt0(xc))) ),
inference(split_conjunct,[status(thm)],[153]) ).
fof(4255,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(4256,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)],[4255]) ).
fof(4257,plain,
! [X3] :
( ( ~ equal(X3,slcrc0)
| ( aSet0(X3)
& ! [X4] : ~ aElementOf0(X4,X3) ) )
& ( ~ aSet0(X3)
| aElementOf0(esk21_1(X3),X3)
| equal(X3,slcrc0) ) ),
inference(skolemize,[status(esa)],[4256]) ).
fof(4258,plain,
! [X3,X4] :
( ( ( ~ aElementOf0(X4,X3)
& aSet0(X3) )
| ~ equal(X3,slcrc0) )
& ( ~ aSet0(X3)
| aElementOf0(esk21_1(X3),X3)
| equal(X3,slcrc0) ) ),
inference(shift_quantors,[status(thm)],[4257]) ).
fof(4259,plain,
! [X3,X4] :
( ( ~ aElementOf0(X4,X3)
| ~ equal(X3,slcrc0) )
& ( aSet0(X3)
| ~ equal(X3,slcrc0) )
& ( ~ aSet0(X3)
| aElementOf0(esk21_1(X3),X3)
| equal(X3,slcrc0) ) ),
inference(distribute,[status(thm)],[4258]) ).
cnf(4261,plain,
( aSet0(X1)
| X1 != slcrc0 ),
inference(split_conjunct,[status(thm)],[4259]) ).
cnf(4262,plain,
( X1 != slcrc0
| ~ aElementOf0(X2,X1) ),
inference(split_conjunct,[status(thm)],[4259]) ).
fof(4354,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(4355,plain,
! [X2] :
( ~ aSet0(X2)
| ( ( ~ equal(sbrdtbr0(X2),sz00)
| equal(X2,slcrc0) )
& ( ~ equal(X2,slcrc0)
| equal(sbrdtbr0(X2),sz00) ) ) ),
inference(variable_rename,[status(thm)],[4354]) ).
fof(4356,plain,
! [X2] :
( ( ~ equal(sbrdtbr0(X2),sz00)
| equal(X2,slcrc0)
| ~ aSet0(X2) )
& ( ~ equal(X2,slcrc0)
| equal(sbrdtbr0(X2),sz00)
| ~ aSet0(X2) ) ),
inference(distribute,[status(thm)],[4355]) ).
cnf(4357,plain,
( sbrdtbr0(X1) = sz00
| ~ aSet0(X1)
| X1 != slcrc0 ),
inference(split_conjunct,[status(thm)],[4356]) ).
cnf(4358,plain,
( X1 = slcrc0
| ~ aSet0(X1)
| sbrdtbr0(X1) != sz00 ),
inference(split_conjunct,[status(thm)],[4356]) ).
fof(4367,plain,
( aSet0(xS)
& ! [X1] :
( ~ aElementOf0(X1,xS)
| aElementOf0(X1,szNzAzT0) )
& aSubsetOf0(xS,szNzAzT0)
& isCountable0(xS) ),
inference(fof_nnf,[status(thm)],[64]) ).
fof(4368,plain,
( aSet0(xS)
& ! [X2] :
( ~ aElementOf0(X2,xS)
| aElementOf0(X2,szNzAzT0) )
& aSubsetOf0(xS,szNzAzT0)
& isCountable0(xS) ),
inference(variable_rename,[status(thm)],[4367]) ).
fof(4369,plain,
! [X2] :
( ( ~ aElementOf0(X2,xS)
| aElementOf0(X2,szNzAzT0) )
& aSet0(xS)
& aSubsetOf0(xS,szNzAzT0)
& isCountable0(xS) ),
inference(shift_quantors,[status(thm)],[4368]) ).
cnf(4370,plain,
isCountable0(xS),
inference(split_conjunct,[status(thm)],[4369]) ).
cnf(4372,plain,
aSet0(xS),
inference(split_conjunct,[status(thm)],[4369]) ).
fof(4415,negated_conjecture,
( equal(xK,sz00)
& ! [X1] :
( ~ aElementOf0(X1,xT)
| ! [X2] :
( ( ( ~ aSet0(X2)
| ? [X3] :
( aElementOf0(X3,X2)
& ~ aElementOf0(X3,xS) ) )
& ~ aSubsetOf0(X2,xS) )
| ~ isCountable0(X2)
| ? [X3] :
( aSet0(X3)
& ! [X4] :
( ~ aElementOf0(X4,X3)
| aElementOf0(X4,X2) )
& aSubsetOf0(X3,X2)
& equal(sbrdtbr0(X3),xK)
& aElementOf0(X3,slbdtsldtrb0(X2,xK))
& ~ equal(sdtlpdtrp0(xc,X3),X1) ) ) ) ),
inference(fof_nnf,[status(thm)],[79]) ).
fof(4416,negated_conjecture,
( equal(xK,sz00)
& ! [X5] :
( ~ aElementOf0(X5,xT)
| ! [X6] :
( ( ( ~ aSet0(X6)
| ? [X7] :
( aElementOf0(X7,X6)
& ~ aElementOf0(X7,xS) ) )
& ~ aSubsetOf0(X6,xS) )
| ~ isCountable0(X6)
| ? [X8] :
( aSet0(X8)
& ! [X9] :
( ~ aElementOf0(X9,X8)
| aElementOf0(X9,X6) )
& aSubsetOf0(X8,X6)
& equal(sbrdtbr0(X8),xK)
& aElementOf0(X8,slbdtsldtrb0(X6,xK))
& ~ equal(sdtlpdtrp0(xc,X8),X5) ) ) ) ),
inference(variable_rename,[status(thm)],[4415]) ).
fof(4417,negated_conjecture,
( equal(xK,sz00)
& ! [X5] :
( ~ aElementOf0(X5,xT)
| ! [X6] :
( ( ( ~ aSet0(X6)
| ( aElementOf0(esk29_2(X5,X6),X6)
& ~ aElementOf0(esk29_2(X5,X6),xS) ) )
& ~ aSubsetOf0(X6,xS) )
| ~ isCountable0(X6)
| ( aSet0(esk30_2(X5,X6))
& ! [X9] :
( ~ aElementOf0(X9,esk30_2(X5,X6))
| aElementOf0(X9,X6) )
& aSubsetOf0(esk30_2(X5,X6),X6)
& equal(sbrdtbr0(esk30_2(X5,X6)),xK)
& aElementOf0(esk30_2(X5,X6),slbdtsldtrb0(X6,xK))
& ~ equal(sdtlpdtrp0(xc,esk30_2(X5,X6)),X5) ) ) ) ),
inference(skolemize,[status(esa)],[4416]) ).
fof(4418,negated_conjecture,
! [X5,X6,X9] :
( ( ( ( ~ aElementOf0(X9,esk30_2(X5,X6))
| aElementOf0(X9,X6) )
& aSet0(esk30_2(X5,X6))
& aSubsetOf0(esk30_2(X5,X6),X6)
& equal(sbrdtbr0(esk30_2(X5,X6)),xK)
& aElementOf0(esk30_2(X5,X6),slbdtsldtrb0(X6,xK))
& ~ equal(sdtlpdtrp0(xc,esk30_2(X5,X6)),X5) )
| ( ( ~ aSet0(X6)
| ( aElementOf0(esk29_2(X5,X6),X6)
& ~ aElementOf0(esk29_2(X5,X6),xS) ) )
& ~ aSubsetOf0(X6,xS) )
| ~ isCountable0(X6)
| ~ aElementOf0(X5,xT) )
& equal(xK,sz00) ),
inference(shift_quantors,[status(thm)],[4417]) ).
fof(4419,negated_conjecture,
! [X5,X6,X9] :
( ( aElementOf0(esk29_2(X5,X6),X6)
| ~ aSet0(X6)
| ~ isCountable0(X6)
| ~ aElementOf0(X9,esk30_2(X5,X6))
| aElementOf0(X9,X6)
| ~ aElementOf0(X5,xT) )
& ( ~ aElementOf0(esk29_2(X5,X6),xS)
| ~ aSet0(X6)
| ~ isCountable0(X6)
| ~ aElementOf0(X9,esk30_2(X5,X6))
| aElementOf0(X9,X6)
| ~ aElementOf0(X5,xT) )
& ( ~ aSubsetOf0(X6,xS)
| ~ isCountable0(X6)
| ~ aElementOf0(X9,esk30_2(X5,X6))
| aElementOf0(X9,X6)
| ~ aElementOf0(X5,xT) )
& ( aElementOf0(esk29_2(X5,X6),X6)
| ~ aSet0(X6)
| ~ isCountable0(X6)
| aSet0(esk30_2(X5,X6))
| ~ aElementOf0(X5,xT) )
& ( ~ aElementOf0(esk29_2(X5,X6),xS)
| ~ aSet0(X6)
| ~ isCountable0(X6)
| aSet0(esk30_2(X5,X6))
| ~ aElementOf0(X5,xT) )
& ( ~ aSubsetOf0(X6,xS)
| ~ isCountable0(X6)
| aSet0(esk30_2(X5,X6))
| ~ aElementOf0(X5,xT) )
& ( aElementOf0(esk29_2(X5,X6),X6)
| ~ aSet0(X6)
| ~ isCountable0(X6)
| aSubsetOf0(esk30_2(X5,X6),X6)
| ~ aElementOf0(X5,xT) )
& ( ~ aElementOf0(esk29_2(X5,X6),xS)
| ~ aSet0(X6)
| ~ isCountable0(X6)
| aSubsetOf0(esk30_2(X5,X6),X6)
| ~ aElementOf0(X5,xT) )
& ( ~ aSubsetOf0(X6,xS)
| ~ isCountable0(X6)
| aSubsetOf0(esk30_2(X5,X6),X6)
| ~ aElementOf0(X5,xT) )
& ( aElementOf0(esk29_2(X5,X6),X6)
| ~ aSet0(X6)
| ~ isCountable0(X6)
| equal(sbrdtbr0(esk30_2(X5,X6)),xK)
| ~ aElementOf0(X5,xT) )
& ( ~ aElementOf0(esk29_2(X5,X6),xS)
| ~ aSet0(X6)
| ~ isCountable0(X6)
| equal(sbrdtbr0(esk30_2(X5,X6)),xK)
| ~ aElementOf0(X5,xT) )
& ( ~ aSubsetOf0(X6,xS)
| ~ isCountable0(X6)
| equal(sbrdtbr0(esk30_2(X5,X6)),xK)
| ~ aElementOf0(X5,xT) )
& ( aElementOf0(esk29_2(X5,X6),X6)
| ~ aSet0(X6)
| ~ isCountable0(X6)
| aElementOf0(esk30_2(X5,X6),slbdtsldtrb0(X6,xK))
| ~ aElementOf0(X5,xT) )
& ( ~ aElementOf0(esk29_2(X5,X6),xS)
| ~ aSet0(X6)
| ~ isCountable0(X6)
| aElementOf0(esk30_2(X5,X6),slbdtsldtrb0(X6,xK))
| ~ aElementOf0(X5,xT) )
& ( ~ aSubsetOf0(X6,xS)
| ~ isCountable0(X6)
| aElementOf0(esk30_2(X5,X6),slbdtsldtrb0(X6,xK))
| ~ aElementOf0(X5,xT) )
& ( aElementOf0(esk29_2(X5,X6),X6)
| ~ aSet0(X6)
| ~ isCountable0(X6)
| ~ equal(sdtlpdtrp0(xc,esk30_2(X5,X6)),X5)
| ~ aElementOf0(X5,xT) )
& ( ~ aElementOf0(esk29_2(X5,X6),xS)
| ~ aSet0(X6)
| ~ isCountable0(X6)
| ~ equal(sdtlpdtrp0(xc,esk30_2(X5,X6)),X5)
| ~ aElementOf0(X5,xT) )
& ( ~ aSubsetOf0(X6,xS)
| ~ isCountable0(X6)
| ~ equal(sdtlpdtrp0(xc,esk30_2(X5,X6)),X5)
| ~ aElementOf0(X5,xT) )
& equal(xK,sz00) ),
inference(distribute,[status(thm)],[4418]) ).
cnf(4420,negated_conjecture,
xK = sz00,
inference(split_conjunct,[status(thm)],[4419]) ).
cnf(4421,negated_conjecture,
( ~ aElementOf0(X1,xT)
| sdtlpdtrp0(xc,esk30_2(X1,X2)) != X1
| ~ isCountable0(X2)
| ~ aSubsetOf0(X2,xS) ),
inference(split_conjunct,[status(thm)],[4419]) ).
cnf(4424,negated_conjecture,
( aElementOf0(esk30_2(X1,X2),slbdtsldtrb0(X2,xK))
| ~ aElementOf0(X1,xT)
| ~ isCountable0(X2)
| ~ aSubsetOf0(X2,xS) ),
inference(split_conjunct,[status(thm)],[4419]) ).
cnf(4433,negated_conjecture,
( aSet0(esk30_2(X1,X2))
| ~ aElementOf0(X1,xT)
| ~ isCountable0(X2)
| ~ aSubsetOf0(X2,xS) ),
inference(split_conjunct,[status(thm)],[4419]) ).
cnf(4464,plain,
aSet0(slcrc0),
inference(er,[status(thm)],[4261,theory(equality)]) ).
cnf(4471,plain,
~ aElementOf0(X1,slcrc0),
inference(er,[status(thm)],[4262,theory(equality)]) ).
cnf(4474,plain,
( sbrdtbr0(X1) = xK
| slcrc0 != X1
| ~ aSet0(X1) ),
inference(rw,[status(thm)],[4357,4420,theory(equality)]) ).
cnf(4475,plain,
( sbrdtbr0(X1) = xK
| slcrc0 != X1 ),
inference(csr,[status(thm)],[4474,4261]) ).
cnf(4476,plain,
sbrdtbr0(slcrc0) = xK,
inference(er,[status(thm)],[4475,theory(equality)]) ).
cnf(4477,plain,
( slcrc0 = X1
| sbrdtbr0(X1) != xK
| ~ aSet0(X1) ),
inference(rw,[status(thm)],[4358,4420,theory(equality)]) ).
cnf(4663,negated_conjecture,
( aElementOf0(esk30_2(X1,xS),slbdtsldtrb0(xS,xK))
| ~ isCountable0(xS)
| ~ aElementOf0(X1,xT)
| ~ aSet0(xS) ),
inference(spm,[status(thm)],[4424,87,theory(equality)]) ).
cnf(4664,negated_conjecture,
( aElementOf0(esk30_2(X1,xS),szDzozmdt0(xc))
| ~ isCountable0(xS)
| ~ aElementOf0(X1,xT)
| ~ aSet0(xS) ),
inference(rw,[status(thm)],[4663,156,theory(equality)]) ).
cnf(4665,negated_conjecture,
( aElementOf0(esk30_2(X1,xS),szDzozmdt0(xc))
| $false
| ~ aElementOf0(X1,xT)
| ~ aSet0(xS) ),
inference(rw,[status(thm)],[4664,4370,theory(equality)]) ).
cnf(4666,negated_conjecture,
( aElementOf0(esk30_2(X1,xS),szDzozmdt0(xc))
| $false
| ~ aElementOf0(X1,xT)
| $false ),
inference(rw,[status(thm)],[4665,4372,theory(equality)]) ).
cnf(4667,negated_conjecture,
( aElementOf0(esk30_2(X1,xS),szDzozmdt0(xc))
| ~ aElementOf0(X1,xT) ),
inference(cn,[status(thm)],[4666,theory(equality)]) ).
cnf(11134,plain,
( aElementOf0(slcrc0,szDzozmdt0(xc))
| aElementOf0(esk4_1(slcrc0),slcrc0)
| ~ aSet0(slcrc0) ),
inference(spm,[status(thm)],[160,4476,theory(equality)]) ).
cnf(11942,plain,
( aElementOf0(slcrc0,szDzozmdt0(xc))
| aElementOf0(esk4_1(slcrc0),slcrc0)
| $false ),
inference(rw,[status(thm)],[11134,4464,theory(equality)]) ).
cnf(11943,plain,
( aElementOf0(slcrc0,szDzozmdt0(xc))
| aElementOf0(esk4_1(slcrc0),slcrc0) ),
inference(cn,[status(thm)],[11942,theory(equality)]) ).
cnf(11944,plain,
aElementOf0(slcrc0,szDzozmdt0(xc)),
inference(sr,[status(thm)],[11943,4471,theory(equality)]) ).
cnf(13330,plain,
( aElementOf0(sdtlpdtrp0(xc,slcrc0),sdtlcdtrc0(xc,szDzozmdt0(xc)))
| ~ aFunction0(xc) ),
inference(spm,[status(thm)],[99,11944,theory(equality)]) ).
cnf(13341,plain,
( aElementOf0(sdtlpdtrp0(xc,slcrc0),sdtlcdtrc0(xc,szDzozmdt0(xc)))
| $false ),
inference(rw,[status(thm)],[13330,157,theory(equality)]) ).
cnf(13342,plain,
aElementOf0(sdtlpdtrp0(xc,slcrc0),sdtlcdtrc0(xc,szDzozmdt0(xc))),
inference(cn,[status(thm)],[13341,theory(equality)]) ).
cnf(16179,plain,
aElementOf0(sdtlpdtrp0(xc,slcrc0),xT),
inference(spm,[status(thm)],[168,13342,theory(equality)]) ).
cnf(16192,plain,
( aSet0(esk30_2(sdtlpdtrp0(xc,slcrc0),X1))
| ~ isCountable0(X1)
| ~ aSubsetOf0(X1,xS) ),
inference(spm,[status(thm)],[4433,16179,theory(equality)]) ).
cnf(16197,plain,
( sdtlpdtrp0(xc,esk30_2(sdtlpdtrp0(xc,slcrc0),X1)) != sdtlpdtrp0(xc,slcrc0)
| ~ isCountable0(X1)
| ~ aSubsetOf0(X1,xS) ),
inference(spm,[status(thm)],[4421,16179,theory(equality)]) ).
cnf(23356,plain,
( aSet0(esk30_2(sdtlpdtrp0(xc,slcrc0),xS))
| ~ isCountable0(xS)
| ~ aSet0(xS) ),
inference(spm,[status(thm)],[16192,87,theory(equality)]) ).
cnf(23359,plain,
( aSet0(esk30_2(sdtlpdtrp0(xc,slcrc0),xS))
| $false
| ~ aSet0(xS) ),
inference(rw,[status(thm)],[23356,4370,theory(equality)]) ).
cnf(23360,plain,
( aSet0(esk30_2(sdtlpdtrp0(xc,slcrc0),xS))
| $false
| $false ),
inference(rw,[status(thm)],[23359,4372,theory(equality)]) ).
cnf(23361,plain,
aSet0(esk30_2(sdtlpdtrp0(xc,slcrc0),xS)),
inference(cn,[status(thm)],[23360,theory(equality)]) ).
cnf(27666,plain,
aElementOf0(esk30_2(sdtlpdtrp0(xc,slcrc0),xS),szDzozmdt0(xc)),
inference(spm,[status(thm)],[4667,16179,theory(equality)]) ).
cnf(27689,plain,
sbrdtbr0(esk30_2(sdtlpdtrp0(xc,slcrc0),xS)) = xK,
inference(spm,[status(thm)],[161,27666,theory(equality)]) ).
cnf(27708,plain,
( slcrc0 = esk30_2(sdtlpdtrp0(xc,slcrc0),xS)
| ~ aSet0(esk30_2(sdtlpdtrp0(xc,slcrc0),xS)) ),
inference(spm,[status(thm)],[4477,27689,theory(equality)]) ).
cnf(28516,plain,
( slcrc0 = esk30_2(sdtlpdtrp0(xc,slcrc0),xS)
| $false ),
inference(rw,[status(thm)],[27708,23361,theory(equality)]) ).
cnf(28517,plain,
slcrc0 = esk30_2(sdtlpdtrp0(xc,slcrc0),xS),
inference(cn,[status(thm)],[28516,theory(equality)]) ).
cnf(57258,plain,
( sdtlpdtrp0(xc,esk30_2(sdtlpdtrp0(xc,slcrc0),xS)) != sdtlpdtrp0(xc,slcrc0)
| ~ isCountable0(xS)
| ~ aSet0(xS) ),
inference(spm,[status(thm)],[16197,87,theory(equality)]) ).
cnf(57268,plain,
( $false
| ~ isCountable0(xS)
| ~ aSet0(xS) ),
inference(rw,[status(thm)],[57258,28517,theory(equality)]) ).
cnf(57269,plain,
( $false
| $false
| ~ aSet0(xS) ),
inference(rw,[status(thm)],[57268,4370,theory(equality)]) ).
cnf(57270,plain,
( $false
| $false
| $false ),
inference(rw,[status(thm)],[57269,4372,theory(equality)]) ).
cnf(57271,plain,
$false,
inference(cn,[status(thm)],[57270,theory(equality)]) ).
cnf(57272,plain,
$false,
57271,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM563+3 : TPTP v7.0.0. Released v4.0.0.
% 0.00/0.03 % Command : Source/sine.py -e eprover -t %d %s
% 0.02/0.22 % Computer : n114.star.cs.uiowa.edu
% 0.02/0.22 % Model : x86_64 x86_64
% 0.02/0.22 % CPU : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
% 0.02/0.22 % Memory : 32218.625MB
% 0.02/0.22 % OS : Linux 3.10.0-693.2.2.el7.x86_64
% 0.02/0.22 % CPULimit : 300
% 0.02/0.22 % DateTime : Fri Jan 5 09:57:00 CST 2018
% 0.02/0.22 % CPUTime :
% 0.02/0.27 % SZS status Started for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.02/0.27 --creating new selector for []
% 5.74/5.93 -running prover on /export/starexec/sandbox2/tmp/tmpiEFuqq/sel_theBenchmark.p_1 with time limit 29
% 5.74/5.93 -running prover with command ['/export/starexec/sandbox2/solver/bin/Source/./Source/PROVER/eproof.working', '-s', '-tLPO4', '-xAuto', '-tAuto', '--memory-limit=768', '--tptp3-format', '--cpu-limit=29', '/export/starexec/sandbox2/tmp/tmpiEFuqq/sel_theBenchmark.p_1']
% 5.74/5.93 -prover status Theorem
% 5.74/5.93 Problem theBenchmark.p solved in phase 0.
% 5.74/5.93 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 5.74/5.93 % SZS status Ended for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 5.74/5.93 Solved 1 out of 1.
% 5.74/5.93 # Problem is unsatisfiable (or provable), constructing proof object
% 5.74/5.93 # SZS status Theorem
% 5.74/5.93 # SZS output start CNFRefutation.
% See solution above
% 5.74/5.94 # SZS output end CNFRefutation
%------------------------------------------------------------------------------