TSTP Solution File: NUM566+3 by SInE---0.4
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- Process Solution
%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : NUM566+3 : TPTP v7.0.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : n088.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 15:21:49 EST 2018
% Result : Theorem 5.37s
% Output : CNFRefutation 5.37s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 8
% Syntax : Number of formulae : 75 ( 16 unt; 0 def)
% Number of atoms : 492 ( 14 equ)
% Maximal formula atoms : 87 ( 6 avg)
% Number of connectives : 642 ( 225 ~; 223 |; 175 &)
% ( 2 <=>; 17 =>; 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 : 16 ( 16 usr; 7 con; 0-2 aty)
% Number of variables : 111 ( 0 sgn 77 !; 14 ?)
% Comments :
%------------------------------------------------------------------------------
fof(1,axiom,
! [X1] :
( aSet0(X1)
=> aSubsetOf0(X1,X1) ),
file('/export/starexec/sandbox2/tmp/tmpYQQNxl/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/tmpYQQNxl/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/tmpYQQNxl/sel_theBenchmark.p_1',m__3453) ).
fof(27,axiom,
equal(xK,sz00),
file('/export/starexec/sandbox2/tmp/tmpYQQNxl/sel_theBenchmark.p_1',m__3462) ).
fof(62,axiom,
! [X1] :
( aSet0(X1)
=> ( equal(sbrdtbr0(X1),sz00)
<=> equal(X1,slcrc0) ) ),
file('/export/starexec/sandbox2/tmp/tmpYQQNxl/sel_theBenchmark.p_1',mCardEmpty) ).
fof(66,axiom,
( aSet0(xS)
& ! [X1] :
( aElementOf0(X1,xS)
=> aElementOf0(X1,szNzAzT0) )
& aSubsetOf0(xS,szNzAzT0)
& isCountable0(xS) ),
file('/export/starexec/sandbox2/tmp/tmpYQQNxl/sel_theBenchmark.p_1',m__3435) ).
fof(73,axiom,
( aSet0(slcrc0)
& ~ ? [X1] : aElementOf0(X1,slcrc0)
& ! [X1] :
( aElementOf0(X1,slcrc0)
=> aElementOf0(X1,xS) )
& aSubsetOf0(slcrc0,xS)
& aElementOf0(slcrc0,slbdtsldtrb0(xS,sz00)) ),
file('/export/starexec/sandbox2/tmp/tmpYQQNxl/sel_theBenchmark.p_1',m__3476) ).
fof(77,conjecture,
? [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/tmpYQQNxl/sel_theBenchmark.p_1',m__) ).
fof(82,negated_conjecture,
~ ? [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)],[77]) ).
fof(88,plain,
! [X1] :
( ~ aSet0(X1)
| aSubsetOf0(X1,X1) ),
inference(fof_nnf,[status(thm)],[1]) ).
fof(89,plain,
! [X2] :
( ~ aSet0(X2)
| aSubsetOf0(X2,X2) ),
inference(variable_rename,[status(thm)],[88]) ).
cnf(90,plain,
( aSubsetOf0(X1,X1)
| ~ aSet0(X1) ),
inference(split_conjunct,[status(thm)],[89]) ).
fof(99,plain,
! [X1] :
( ~ aFunction0(X1)
| ! [X2] :
( ~ aElementOf0(X2,szDzozmdt0(X1))
| aElementOf0(sdtlpdtrp0(X1,X2),sdtlcdtrc0(X1,szDzozmdt0(X1))) ) ),
inference(fof_nnf,[status(thm)],[5]) ).
fof(100,plain,
! [X3] :
( ~ aFunction0(X3)
| ! [X4] :
( ~ aElementOf0(X4,szDzozmdt0(X3))
| aElementOf0(sdtlpdtrp0(X3,X4),sdtlcdtrc0(X3,szDzozmdt0(X3))) ) ),
inference(variable_rename,[status(thm)],[99]) ).
fof(101,plain,
! [X3,X4] :
( ~ aElementOf0(X4,szDzozmdt0(X3))
| aElementOf0(sdtlpdtrp0(X3,X4),sdtlcdtrc0(X3,szDzozmdt0(X3)))
| ~ aFunction0(X3) ),
inference(shift_quantors,[status(thm)],[100]) ).
cnf(102,plain,
( aElementOf0(sdtlpdtrp0(X1,X2),sdtlcdtrc0(X1,szDzozmdt0(X1)))
| ~ aFunction0(X1)
| ~ aElementOf0(X2,szDzozmdt0(X1)) ),
inference(split_conjunct,[status(thm)],[101]) ).
fof(152,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(153,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)],[152]) ).
fof(154,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)],[153]) ).
fof(155,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)],[154]) ).
fof(156,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)],[155]) ).
cnf(159,plain,
szDzozmdt0(xc) = slbdtsldtrb0(xS,xK),
inference(split_conjunct,[status(thm)],[156]) ).
cnf(160,plain,
aFunction0(xc),
inference(split_conjunct,[status(thm)],[156]) ).
cnf(164,plain,
( sbrdtbr0(X1) = xK
| ~ aElementOf0(X1,szDzozmdt0(xc)) ),
inference(split_conjunct,[status(thm)],[156]) ).
cnf(171,plain,
( aElementOf0(X1,xT)
| ~ aElementOf0(X1,sdtlcdtrc0(xc,szDzozmdt0(xc))) ),
inference(split_conjunct,[status(thm)],[156]) ).
cnf(228,plain,
xK = sz00,
inference(split_conjunct,[status(thm)],[27]) ).
fof(4375,plain,
! [X1] :
( ~ aSet0(X1)
| ( ( ~ equal(sbrdtbr0(X1),sz00)
| equal(X1,slcrc0) )
& ( ~ equal(X1,slcrc0)
| equal(sbrdtbr0(X1),sz00) ) ) ),
inference(fof_nnf,[status(thm)],[62]) ).
fof(4376,plain,
! [X2] :
( ~ aSet0(X2)
| ( ( ~ equal(sbrdtbr0(X2),sz00)
| equal(X2,slcrc0) )
& ( ~ equal(X2,slcrc0)
| equal(sbrdtbr0(X2),sz00) ) ) ),
inference(variable_rename,[status(thm)],[4375]) ).
fof(4377,plain,
! [X2] :
( ( ~ equal(sbrdtbr0(X2),sz00)
| equal(X2,slcrc0)
| ~ aSet0(X2) )
& ( ~ equal(X2,slcrc0)
| equal(sbrdtbr0(X2),sz00)
| ~ aSet0(X2) ) ),
inference(distribute,[status(thm)],[4376]) ).
cnf(4379,plain,
( X1 = slcrc0
| ~ aSet0(X1)
| sbrdtbr0(X1) != sz00 ),
inference(split_conjunct,[status(thm)],[4377]) ).
fof(4388,plain,
( aSet0(xS)
& ! [X1] :
( ~ aElementOf0(X1,xS)
| aElementOf0(X1,szNzAzT0) )
& aSubsetOf0(xS,szNzAzT0)
& isCountable0(xS) ),
inference(fof_nnf,[status(thm)],[66]) ).
fof(4389,plain,
( aSet0(xS)
& ! [X2] :
( ~ aElementOf0(X2,xS)
| aElementOf0(X2,szNzAzT0) )
& aSubsetOf0(xS,szNzAzT0)
& isCountable0(xS) ),
inference(variable_rename,[status(thm)],[4388]) ).
fof(4390,plain,
! [X2] :
( ( ~ aElementOf0(X2,xS)
| aElementOf0(X2,szNzAzT0) )
& aSet0(xS)
& aSubsetOf0(xS,szNzAzT0)
& isCountable0(xS) ),
inference(shift_quantors,[status(thm)],[4389]) ).
cnf(4391,plain,
isCountable0(xS),
inference(split_conjunct,[status(thm)],[4390]) ).
cnf(4393,plain,
aSet0(xS),
inference(split_conjunct,[status(thm)],[4390]) ).
fof(4426,plain,
( aSet0(slcrc0)
& ! [X1] : ~ aElementOf0(X1,slcrc0)
& ! [X1] :
( ~ aElementOf0(X1,slcrc0)
| aElementOf0(X1,xS) )
& aSubsetOf0(slcrc0,xS)
& aElementOf0(slcrc0,slbdtsldtrb0(xS,sz00)) ),
inference(fof_nnf,[status(thm)],[73]) ).
fof(4427,plain,
( aSet0(slcrc0)
& ! [X2] : ~ aElementOf0(X2,slcrc0)
& ! [X3] :
( ~ aElementOf0(X3,slcrc0)
| aElementOf0(X3,xS) )
& aSubsetOf0(slcrc0,xS)
& aElementOf0(slcrc0,slbdtsldtrb0(xS,sz00)) ),
inference(variable_rename,[status(thm)],[4426]) ).
fof(4428,plain,
! [X2,X3] :
( ( ~ aElementOf0(X3,slcrc0)
| aElementOf0(X3,xS) )
& ~ aElementOf0(X2,slcrc0)
& aSet0(slcrc0)
& aSubsetOf0(slcrc0,xS)
& aElementOf0(slcrc0,slbdtsldtrb0(xS,sz00)) ),
inference(shift_quantors,[status(thm)],[4427]) ).
cnf(4429,plain,
aElementOf0(slcrc0,slbdtsldtrb0(xS,sz00)),
inference(split_conjunct,[status(thm)],[4428]) ).
fof(4444,negated_conjecture,
! [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)],[82]) ).
fof(4445,negated_conjecture,
! [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)],[4444]) ).
fof(4446,negated_conjecture,
! [X5] :
( ~ aElementOf0(X5,xT)
| ! [X6] :
( ( ( ~ aSet0(X6)
| ( aElementOf0(esk30_2(X5,X6),X6)
& ~ aElementOf0(esk30_2(X5,X6),xS) ) )
& ~ aSubsetOf0(X6,xS) )
| ~ isCountable0(X6)
| ( aSet0(esk31_2(X5,X6))
& ! [X9] :
( ~ aElementOf0(X9,esk31_2(X5,X6))
| aElementOf0(X9,X6) )
& aSubsetOf0(esk31_2(X5,X6),X6)
& equal(sbrdtbr0(esk31_2(X5,X6)),xK)
& aElementOf0(esk31_2(X5,X6),slbdtsldtrb0(X6,xK))
& ~ equal(sdtlpdtrp0(xc,esk31_2(X5,X6)),X5) ) ) ),
inference(skolemize,[status(esa)],[4445]) ).
fof(4447,negated_conjecture,
! [X5,X6,X9] :
( ( ( ~ aElementOf0(X9,esk31_2(X5,X6))
| aElementOf0(X9,X6) )
& aSet0(esk31_2(X5,X6))
& aSubsetOf0(esk31_2(X5,X6),X6)
& equal(sbrdtbr0(esk31_2(X5,X6)),xK)
& aElementOf0(esk31_2(X5,X6),slbdtsldtrb0(X6,xK))
& ~ equal(sdtlpdtrp0(xc,esk31_2(X5,X6)),X5) )
| ( ( ~ aSet0(X6)
| ( aElementOf0(esk30_2(X5,X6),X6)
& ~ aElementOf0(esk30_2(X5,X6),xS) ) )
& ~ aSubsetOf0(X6,xS) )
| ~ isCountable0(X6)
| ~ aElementOf0(X5,xT) ),
inference(shift_quantors,[status(thm)],[4446]) ).
fof(4448,negated_conjecture,
! [X5,X6,X9] :
( ( aElementOf0(esk30_2(X5,X6),X6)
| ~ aSet0(X6)
| ~ isCountable0(X6)
| ~ aElementOf0(X9,esk31_2(X5,X6))
| aElementOf0(X9,X6)
| ~ aElementOf0(X5,xT) )
& ( ~ aElementOf0(esk30_2(X5,X6),xS)
| ~ aSet0(X6)
| ~ isCountable0(X6)
| ~ aElementOf0(X9,esk31_2(X5,X6))
| aElementOf0(X9,X6)
| ~ aElementOf0(X5,xT) )
& ( ~ aSubsetOf0(X6,xS)
| ~ isCountable0(X6)
| ~ aElementOf0(X9,esk31_2(X5,X6))
| aElementOf0(X9,X6)
| ~ aElementOf0(X5,xT) )
& ( aElementOf0(esk30_2(X5,X6),X6)
| ~ aSet0(X6)
| ~ isCountable0(X6)
| aSet0(esk31_2(X5,X6))
| ~ aElementOf0(X5,xT) )
& ( ~ aElementOf0(esk30_2(X5,X6),xS)
| ~ aSet0(X6)
| ~ isCountable0(X6)
| aSet0(esk31_2(X5,X6))
| ~ aElementOf0(X5,xT) )
& ( ~ aSubsetOf0(X6,xS)
| ~ isCountable0(X6)
| aSet0(esk31_2(X5,X6))
| ~ aElementOf0(X5,xT) )
& ( aElementOf0(esk30_2(X5,X6),X6)
| ~ aSet0(X6)
| ~ isCountable0(X6)
| aSubsetOf0(esk31_2(X5,X6),X6)
| ~ aElementOf0(X5,xT) )
& ( ~ aElementOf0(esk30_2(X5,X6),xS)
| ~ aSet0(X6)
| ~ isCountable0(X6)
| aSubsetOf0(esk31_2(X5,X6),X6)
| ~ aElementOf0(X5,xT) )
& ( ~ aSubsetOf0(X6,xS)
| ~ isCountable0(X6)
| aSubsetOf0(esk31_2(X5,X6),X6)
| ~ aElementOf0(X5,xT) )
& ( aElementOf0(esk30_2(X5,X6),X6)
| ~ aSet0(X6)
| ~ isCountable0(X6)
| equal(sbrdtbr0(esk31_2(X5,X6)),xK)
| ~ aElementOf0(X5,xT) )
& ( ~ aElementOf0(esk30_2(X5,X6),xS)
| ~ aSet0(X6)
| ~ isCountable0(X6)
| equal(sbrdtbr0(esk31_2(X5,X6)),xK)
| ~ aElementOf0(X5,xT) )
& ( ~ aSubsetOf0(X6,xS)
| ~ isCountable0(X6)
| equal(sbrdtbr0(esk31_2(X5,X6)),xK)
| ~ aElementOf0(X5,xT) )
& ( aElementOf0(esk30_2(X5,X6),X6)
| ~ aSet0(X6)
| ~ isCountable0(X6)
| aElementOf0(esk31_2(X5,X6),slbdtsldtrb0(X6,xK))
| ~ aElementOf0(X5,xT) )
& ( ~ aElementOf0(esk30_2(X5,X6),xS)
| ~ aSet0(X6)
| ~ isCountable0(X6)
| aElementOf0(esk31_2(X5,X6),slbdtsldtrb0(X6,xK))
| ~ aElementOf0(X5,xT) )
& ( ~ aSubsetOf0(X6,xS)
| ~ isCountable0(X6)
| aElementOf0(esk31_2(X5,X6),slbdtsldtrb0(X6,xK))
| ~ aElementOf0(X5,xT) )
& ( aElementOf0(esk30_2(X5,X6),X6)
| ~ aSet0(X6)
| ~ isCountable0(X6)
| ~ equal(sdtlpdtrp0(xc,esk31_2(X5,X6)),X5)
| ~ aElementOf0(X5,xT) )
& ( ~ aElementOf0(esk30_2(X5,X6),xS)
| ~ aSet0(X6)
| ~ isCountable0(X6)
| ~ equal(sdtlpdtrp0(xc,esk31_2(X5,X6)),X5)
| ~ aElementOf0(X5,xT) )
& ( ~ aSubsetOf0(X6,xS)
| ~ isCountable0(X6)
| ~ equal(sdtlpdtrp0(xc,esk31_2(X5,X6)),X5)
| ~ aElementOf0(X5,xT) ) ),
inference(distribute,[status(thm)],[4447]) ).
cnf(4449,negated_conjecture,
( ~ aElementOf0(X1,xT)
| sdtlpdtrp0(xc,esk31_2(X1,X2)) != X1
| ~ isCountable0(X2)
| ~ aSubsetOf0(X2,xS) ),
inference(split_conjunct,[status(thm)],[4448]) ).
cnf(4452,negated_conjecture,
( aElementOf0(esk31_2(X1,X2),slbdtsldtrb0(X2,xK))
| ~ aElementOf0(X1,xT)
| ~ isCountable0(X2)
| ~ aSubsetOf0(X2,xS) ),
inference(split_conjunct,[status(thm)],[4448]) ).
cnf(4461,negated_conjecture,
( aSet0(esk31_2(X1,X2))
| ~ aElementOf0(X1,xT)
| ~ isCountable0(X2)
| ~ aSubsetOf0(X2,xS) ),
inference(split_conjunct,[status(thm)],[4448]) ).
cnf(4503,plain,
aElementOf0(slcrc0,szDzozmdt0(xc)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[4429,228,theory(equality)]),159,theory(equality)]) ).
cnf(4526,plain,
( slcrc0 = X1
| sbrdtbr0(X1) != xK
| ~ aSet0(X1) ),
inference(rw,[status(thm)],[4379,228,theory(equality)]) ).
cnf(4728,negated_conjecture,
( aElementOf0(esk31_2(X1,xS),slbdtsldtrb0(xS,xK))
| ~ isCountable0(xS)
| ~ aElementOf0(X1,xT)
| ~ aSet0(xS) ),
inference(spm,[status(thm)],[4452,90,theory(equality)]) ).
cnf(4729,negated_conjecture,
( aElementOf0(esk31_2(X1,xS),szDzozmdt0(xc))
| ~ isCountable0(xS)
| ~ aElementOf0(X1,xT)
| ~ aSet0(xS) ),
inference(rw,[status(thm)],[4728,159,theory(equality)]) ).
cnf(4730,negated_conjecture,
( aElementOf0(esk31_2(X1,xS),szDzozmdt0(xc))
| $false
| ~ aElementOf0(X1,xT)
| ~ aSet0(xS) ),
inference(rw,[status(thm)],[4729,4391,theory(equality)]) ).
cnf(4731,negated_conjecture,
( aElementOf0(esk31_2(X1,xS),szDzozmdt0(xc))
| $false
| ~ aElementOf0(X1,xT)
| $false ),
inference(rw,[status(thm)],[4730,4393,theory(equality)]) ).
cnf(4732,negated_conjecture,
( aElementOf0(esk31_2(X1,xS),szDzozmdt0(xc))
| ~ aElementOf0(X1,xT) ),
inference(cn,[status(thm)],[4731,theory(equality)]) ).
cnf(4949,plain,
( aElementOf0(sdtlpdtrp0(xc,slcrc0),sdtlcdtrc0(xc,szDzozmdt0(xc)))
| ~ aFunction0(xc) ),
inference(spm,[status(thm)],[102,4503,theory(equality)]) ).
cnf(4952,plain,
( aElementOf0(sdtlpdtrp0(xc,slcrc0),sdtlcdtrc0(xc,szDzozmdt0(xc)))
| $false ),
inference(rw,[status(thm)],[4949,160,theory(equality)]) ).
cnf(4953,plain,
aElementOf0(sdtlpdtrp0(xc,slcrc0),sdtlcdtrc0(xc,szDzozmdt0(xc))),
inference(cn,[status(thm)],[4952,theory(equality)]) ).
cnf(20501,plain,
aElementOf0(sdtlpdtrp0(xc,slcrc0),xT),
inference(spm,[status(thm)],[171,4953,theory(equality)]) ).
cnf(20515,plain,
( aSet0(esk31_2(sdtlpdtrp0(xc,slcrc0),X1))
| ~ isCountable0(X1)
| ~ aSubsetOf0(X1,xS) ),
inference(spm,[status(thm)],[4461,20501,theory(equality)]) ).
cnf(20519,plain,
( sdtlpdtrp0(xc,esk31_2(sdtlpdtrp0(xc,slcrc0),X1)) != sdtlpdtrp0(xc,slcrc0)
| ~ isCountable0(X1)
| ~ aSubsetOf0(X1,xS) ),
inference(spm,[status(thm)],[4449,20501,theory(equality)]) ).
cnf(28942,plain,
( aSet0(esk31_2(sdtlpdtrp0(xc,slcrc0),xS))
| ~ isCountable0(xS)
| ~ aSet0(xS) ),
inference(spm,[status(thm)],[20515,90,theory(equality)]) ).
cnf(28947,plain,
( aSet0(esk31_2(sdtlpdtrp0(xc,slcrc0),xS))
| $false
| ~ aSet0(xS) ),
inference(rw,[status(thm)],[28942,4391,theory(equality)]) ).
cnf(28948,plain,
( aSet0(esk31_2(sdtlpdtrp0(xc,slcrc0),xS))
| $false
| $false ),
inference(rw,[status(thm)],[28947,4393,theory(equality)]) ).
cnf(28949,plain,
aSet0(esk31_2(sdtlpdtrp0(xc,slcrc0),xS)),
inference(cn,[status(thm)],[28948,theory(equality)]) ).
cnf(30792,plain,
aElementOf0(esk31_2(sdtlpdtrp0(xc,slcrc0),xS),szDzozmdt0(xc)),
inference(spm,[status(thm)],[4732,20501,theory(equality)]) ).
cnf(30815,plain,
sbrdtbr0(esk31_2(sdtlpdtrp0(xc,slcrc0),xS)) = xK,
inference(spm,[status(thm)],[164,30792,theory(equality)]) ).
cnf(30954,plain,
( slcrc0 = esk31_2(sdtlpdtrp0(xc,slcrc0),xS)
| ~ aSet0(esk31_2(sdtlpdtrp0(xc,slcrc0),xS)) ),
inference(spm,[status(thm)],[4526,30815,theory(equality)]) ).
cnf(31765,plain,
( slcrc0 = esk31_2(sdtlpdtrp0(xc,slcrc0),xS)
| $false ),
inference(rw,[status(thm)],[30954,28949,theory(equality)]) ).
cnf(31766,plain,
slcrc0 = esk31_2(sdtlpdtrp0(xc,slcrc0),xS),
inference(cn,[status(thm)],[31765,theory(equality)]) ).
cnf(56354,plain,
( sdtlpdtrp0(xc,esk31_2(sdtlpdtrp0(xc,slcrc0),xS)) != sdtlpdtrp0(xc,slcrc0)
| ~ isCountable0(xS)
| ~ aSet0(xS) ),
inference(spm,[status(thm)],[20519,90,theory(equality)]) ).
cnf(56363,plain,
( $false
| ~ isCountable0(xS)
| ~ aSet0(xS) ),
inference(rw,[status(thm)],[56354,31766,theory(equality)]) ).
cnf(56364,plain,
( $false
| $false
| ~ aSet0(xS) ),
inference(rw,[status(thm)],[56363,4391,theory(equality)]) ).
cnf(56365,plain,
( $false
| $false
| $false ),
inference(rw,[status(thm)],[56364,4393,theory(equality)]) ).
cnf(56366,plain,
$false,
inference(cn,[status(thm)],[56365,theory(equality)]) ).
cnf(56367,plain,
$false,
56366,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM566+3 : TPTP v7.0.0. Released v4.0.0.
% 0.00/0.04 % Command : Source/sine.py -e eprover -t %d %s
% 0.02/0.23 % Computer : n088.star.cs.uiowa.edu
% 0.02/0.23 % Model : x86_64 x86_64
% 0.02/0.23 % CPU : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
% 0.02/0.23 % Memory : 32218.625MB
% 0.02/0.23 % OS : Linux 3.10.0-693.2.2.el7.x86_64
% 0.02/0.23 % CPULimit : 300
% 0.02/0.23 % DateTime : Fri Jan 5 09:05:30 CST 2018
% 0.02/0.23 % CPUTime :
% 0.02/0.27 % SZS status Started for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.02/0.27 --creating new selector for []
% 5.37/5.62 -running prover on /export/starexec/sandbox2/tmp/tmpYQQNxl/sel_theBenchmark.p_1 with time limit 29
% 5.37/5.62 -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/tmpYQQNxl/sel_theBenchmark.p_1']
% 5.37/5.62 -prover status Theorem
% 5.37/5.62 Problem theBenchmark.p solved in phase 0.
% 5.37/5.62 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 5.37/5.62 % SZS status Ended for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 5.37/5.62 Solved 1 out of 1.
% 5.37/5.62 # Problem is unsatisfiable (or provable), constructing proof object
% 5.37/5.62 # SZS status Theorem
% 5.37/5.62 # SZS output start CNFRefutation.
% See solution above
% 5.37/5.63 # SZS output end CNFRefutation
%------------------------------------------------------------------------------