TSTP Solution File: LAT385+4 by SInE---0.4
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- Process Solution
%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : LAT385+4 : TPTP v5.0.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : art09.cs.miami.edu
% Model : i686 i686
% CPU : Intel(R) Pentium(R) 4 CPU 2.80GHz @ 2793MHz
% Memory : 2018MB
% OS : Linux 2.6.26.8-57.fc8
% CPULimit : 300s
% DateTime : Sat Dec 25 17:22:15 EST 2010
% Result : Theorem 0.32s
% Output : CNFRefutation 0.32s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 4
% Syntax : Number of formulae : 43 ( 7 unt; 0 def)
% Number of atoms : 552 ( 22 equ)
% Maximal formula atoms : 48 ( 12 avg)
% Number of connectives : 710 ( 201 ~; 194 |; 274 &)
% ( 0 <=>; 41 =>; 0 <=; 0 <~>)
% Maximal formula depth : 24 ( 10 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 15 ( 13 usr; 1 prp; 0-3 aty)
% Number of functors : 16 ( 16 usr; 4 con; 0-3 aty)
% Number of variables : 129 ( 1 sgn 100 !; 24 ?)
% Comments :
%------------------------------------------------------------------------------
fof(17,axiom,
( aSet0(xP)
& ! [X1] :
( ( aElementOf0(X1,xP)
=> ( aElementOf0(X1,xU)
& sdtlseqdt0(sdtlpdtrp0(xf,X1),X1)
& ! [X2] :
( aElementOf0(X2,xT)
=> sdtlseqdt0(X2,X1) )
& aUpperBoundOfIn0(X1,xT,xU) ) )
& ( ( aElementOf0(X1,xU)
& sdtlseqdt0(sdtlpdtrp0(xf,X1),X1)
& ( ! [X2] :
( aElementOf0(X2,xT)
=> sdtlseqdt0(X2,X1) )
| aUpperBoundOfIn0(X1,xT,xU) ) )
=> aElementOf0(X1,xP) ) )
& xP = cS1241(xU,xf,xT) ),
file('/tmp/tmpl2i5pN/sel_LAT385+4.p_1',m__1244) ).
fof(25,axiom,
( aSet0(xU)
& ! [X1] :
( ( ( aSet0(X1)
& ! [X2] :
( aElementOf0(X2,X1)
=> aElementOf0(X2,xU) ) )
| aSubsetOf0(X1,xU) )
=> ? [X2] :
( aElementOf0(X2,xU)
& aElementOf0(X2,xU)
& ! [X3] :
( aElementOf0(X3,X1)
=> sdtlseqdt0(X2,X3) )
& aLowerBoundOfIn0(X2,X1,xU)
& ! [X3] :
( ( ( aElementOf0(X3,xU)
& ! [X4] :
( aElementOf0(X4,X1)
=> sdtlseqdt0(X3,X4) ) )
| aLowerBoundOfIn0(X3,X1,xU) )
=> sdtlseqdt0(X3,X2) )
& aInfimumOfIn0(X2,X1,xU)
& ? [X3] :
( aElementOf0(X3,xU)
& aElementOf0(X3,xU)
& ! [X4] :
( aElementOf0(X4,X1)
=> sdtlseqdt0(X4,X3) )
& aUpperBoundOfIn0(X3,X1,xU)
& ! [X4] :
( ( ( aElementOf0(X4,xU)
& ! [X5] :
( aElementOf0(X5,X1)
=> sdtlseqdt0(X5,X4) ) )
| aUpperBoundOfIn0(X4,X1,xU) )
=> sdtlseqdt0(X3,X4) )
& aSupremumOfIn0(X3,X1,xU) ) ) )
& aCompleteLattice0(xU)
& aFunction0(xf)
& ! [X1,X2] :
( ( aElementOf0(X1,szDzozmdt0(xf))
& aElementOf0(X2,szDzozmdt0(xf)) )
=> ( sdtlseqdt0(X1,X2)
=> sdtlseqdt0(sdtlpdtrp0(xf,X1),sdtlpdtrp0(xf,X2)) ) )
& isMonotone0(xf)
& szDzozmdt0(xf) = szRzazndt0(xf)
& szRzazndt0(xf) = xU
& isOn0(xf,xU) ),
file('/tmp/tmpl2i5pN/sel_LAT385+4.p_1',m__1123) ).
fof(27,conjecture,
? [X1] :
( ( aElementOf0(X1,xU)
& ( ( aElementOf0(X1,xU)
& ! [X2] :
( aElementOf0(X2,xP)
=> sdtlseqdt0(X1,X2) ) )
| aLowerBoundOfIn0(X1,xP,xU) )
& ! [X2] :
( ( aElementOf0(X2,xU)
& ! [X3] :
( aElementOf0(X3,xP)
=> sdtlseqdt0(X2,X3) )
& aLowerBoundOfIn0(X2,xP,xU) )
=> sdtlseqdt0(X2,X1) ) )
| aInfimumOfIn0(X1,xP,xU) ),
file('/tmp/tmpl2i5pN/sel_LAT385+4.p_1',m__) ).
fof(29,negated_conjecture,
~ ? [X1] :
( ( aElementOf0(X1,xU)
& ( ( aElementOf0(X1,xU)
& ! [X2] :
( aElementOf0(X2,xP)
=> sdtlseqdt0(X1,X2) ) )
| aLowerBoundOfIn0(X1,xP,xU) )
& ! [X2] :
( ( aElementOf0(X2,xU)
& ! [X3] :
( aElementOf0(X3,xP)
=> sdtlseqdt0(X2,X3) )
& aLowerBoundOfIn0(X2,xP,xU) )
=> sdtlseqdt0(X2,X1) ) )
| aInfimumOfIn0(X1,xP,xU) ),
inference(assume_negation,[status(cth)],[27]) ).
fof(30,plain,
( aSet0(xU)
& ! [X1] :
( ( ( aSet0(X1)
& ! [X2] :
( aElementOf0(X2,X1)
=> aElementOf0(X2,xU) ) )
| aSubsetOf0(X1,xU) )
=> ? [X2] :
( aElementOf0(X2,xU)
& ! [X3] :
( aElementOf0(X3,X1)
=> sdtlseqdt0(X2,X3) )
& aLowerBoundOfIn0(X2,X1,xU)
& ! [X3] :
( ( ( aElementOf0(X3,xU)
& ! [X4] :
( aElementOf0(X4,X1)
=> sdtlseqdt0(X3,X4) ) )
| aLowerBoundOfIn0(X3,X1,xU) )
=> sdtlseqdt0(X3,X2) )
& aInfimumOfIn0(X2,X1,xU)
& ? [X3] :
( aElementOf0(X3,xU)
& ! [X4] :
( aElementOf0(X4,X1)
=> sdtlseqdt0(X4,X3) )
& aUpperBoundOfIn0(X3,X1,xU)
& ! [X4] :
( ( ( aElementOf0(X4,xU)
& ! [X5] :
( aElementOf0(X5,X1)
=> sdtlseqdt0(X5,X4) ) )
| aUpperBoundOfIn0(X4,X1,xU) )
=> sdtlseqdt0(X3,X4) )
& aSupremumOfIn0(X3,X1,xU) ) ) )
& aCompleteLattice0(xU)
& aFunction0(xf)
& ! [X1,X2] :
( ( aElementOf0(X1,szDzozmdt0(xf))
& aElementOf0(X2,szDzozmdt0(xf)) )
=> ( sdtlseqdt0(X1,X2)
=> sdtlseqdt0(sdtlpdtrp0(xf,X1),sdtlpdtrp0(xf,X2)) ) )
& isMonotone0(xf)
& szDzozmdt0(xf) = szRzazndt0(xf)
& szRzazndt0(xf) = xU
& isOn0(xf,xU) ),
inference(fof_simplification,[status(thm)],[25,theory(equality)]) ).
fof(31,plain,
! [X1] :
( epred1_1(X1)
=> ? [X2] :
( aElementOf0(X2,xU)
& ! [X3] :
( aElementOf0(X3,X1)
=> sdtlseqdt0(X2,X3) )
& aLowerBoundOfIn0(X2,X1,xU)
& ! [X3] :
( ( ( aElementOf0(X3,xU)
& ! [X4] :
( aElementOf0(X4,X1)
=> sdtlseqdt0(X3,X4) ) )
| aLowerBoundOfIn0(X3,X1,xU) )
=> sdtlseqdt0(X3,X2) )
& aInfimumOfIn0(X2,X1,xU)
& ? [X3] :
( aElementOf0(X3,xU)
& ! [X4] :
( aElementOf0(X4,X1)
=> sdtlseqdt0(X4,X3) )
& aUpperBoundOfIn0(X3,X1,xU)
& ! [X4] :
( ( ( aElementOf0(X4,xU)
& ! [X5] :
( aElementOf0(X5,X1)
=> sdtlseqdt0(X5,X4) ) )
| aUpperBoundOfIn0(X4,X1,xU) )
=> sdtlseqdt0(X3,X4) )
& aSupremumOfIn0(X3,X1,xU) ) ) ),
introduced(definition) ).
fof(32,plain,
( aSet0(xU)
& ! [X1] :
( ( ( aSet0(X1)
& ! [X2] :
( aElementOf0(X2,X1)
=> aElementOf0(X2,xU) ) )
| aSubsetOf0(X1,xU) )
=> epred1_1(X1) )
& aCompleteLattice0(xU)
& aFunction0(xf)
& ! [X1,X2] :
( ( aElementOf0(X1,szDzozmdt0(xf))
& aElementOf0(X2,szDzozmdt0(xf)) )
=> ( sdtlseqdt0(X1,X2)
=> sdtlseqdt0(sdtlpdtrp0(xf,X1),sdtlpdtrp0(xf,X2)) ) )
& isMonotone0(xf)
& szDzozmdt0(xf) = szRzazndt0(xf)
& szRzazndt0(xf) = xU
& isOn0(xf,xU) ),
inference(apply_def,[status(esa)],[30,31,theory(equality)]) ).
fof(126,plain,
( aSet0(xP)
& ! [X1] :
( ( ~ aElementOf0(X1,xP)
| ( aElementOf0(X1,xU)
& sdtlseqdt0(sdtlpdtrp0(xf,X1),X1)
& ! [X2] :
( ~ aElementOf0(X2,xT)
| sdtlseqdt0(X2,X1) )
& aUpperBoundOfIn0(X1,xT,xU) ) )
& ( ~ aElementOf0(X1,xU)
| ~ sdtlseqdt0(sdtlpdtrp0(xf,X1),X1)
| ( ? [X2] :
( aElementOf0(X2,xT)
& ~ sdtlseqdt0(X2,X1) )
& ~ aUpperBoundOfIn0(X1,xT,xU) )
| aElementOf0(X1,xP) ) )
& xP = cS1241(xU,xf,xT) ),
inference(fof_nnf,[status(thm)],[17]) ).
fof(127,plain,
( aSet0(xP)
& ! [X3] :
( ( ~ aElementOf0(X3,xP)
| ( aElementOf0(X3,xU)
& sdtlseqdt0(sdtlpdtrp0(xf,X3),X3)
& ! [X4] :
( ~ aElementOf0(X4,xT)
| sdtlseqdt0(X4,X3) )
& aUpperBoundOfIn0(X3,xT,xU) ) )
& ( ~ aElementOf0(X3,xU)
| ~ sdtlseqdt0(sdtlpdtrp0(xf,X3),X3)
| ( ? [X5] :
( aElementOf0(X5,xT)
& ~ sdtlseqdt0(X5,X3) )
& ~ aUpperBoundOfIn0(X3,xT,xU) )
| aElementOf0(X3,xP) ) )
& xP = cS1241(xU,xf,xT) ),
inference(variable_rename,[status(thm)],[126]) ).
fof(128,plain,
( aSet0(xP)
& ! [X3] :
( ( ~ aElementOf0(X3,xP)
| ( aElementOf0(X3,xU)
& sdtlseqdt0(sdtlpdtrp0(xf,X3),X3)
& ! [X4] :
( ~ aElementOf0(X4,xT)
| sdtlseqdt0(X4,X3) )
& aUpperBoundOfIn0(X3,xT,xU) ) )
& ( ~ aElementOf0(X3,xU)
| ~ sdtlseqdt0(sdtlpdtrp0(xf,X3),X3)
| ( aElementOf0(esk7_1(X3),xT)
& ~ sdtlseqdt0(esk7_1(X3),X3)
& ~ aUpperBoundOfIn0(X3,xT,xU) )
| aElementOf0(X3,xP) ) )
& xP = cS1241(xU,xf,xT) ),
inference(skolemize,[status(esa)],[127]) ).
fof(129,plain,
! [X3,X4] :
( ( ( ( ~ aElementOf0(X4,xT)
| sdtlseqdt0(X4,X3) )
& aElementOf0(X3,xU)
& sdtlseqdt0(sdtlpdtrp0(xf,X3),X3)
& aUpperBoundOfIn0(X3,xT,xU) )
| ~ aElementOf0(X3,xP) )
& ( ~ aElementOf0(X3,xU)
| ~ sdtlseqdt0(sdtlpdtrp0(xf,X3),X3)
| ( aElementOf0(esk7_1(X3),xT)
& ~ sdtlseqdt0(esk7_1(X3),X3)
& ~ aUpperBoundOfIn0(X3,xT,xU) )
| aElementOf0(X3,xP) )
& aSet0(xP)
& xP = cS1241(xU,xf,xT) ),
inference(shift_quantors,[status(thm)],[128]) ).
fof(130,plain,
! [X3,X4] :
( ( ~ aElementOf0(X4,xT)
| sdtlseqdt0(X4,X3)
| ~ aElementOf0(X3,xP) )
& ( aElementOf0(X3,xU)
| ~ aElementOf0(X3,xP) )
& ( sdtlseqdt0(sdtlpdtrp0(xf,X3),X3)
| ~ aElementOf0(X3,xP) )
& ( aUpperBoundOfIn0(X3,xT,xU)
| ~ aElementOf0(X3,xP) )
& ( aElementOf0(esk7_1(X3),xT)
| ~ aElementOf0(X3,xU)
| ~ sdtlseqdt0(sdtlpdtrp0(xf,X3),X3)
| aElementOf0(X3,xP) )
& ( ~ sdtlseqdt0(esk7_1(X3),X3)
| ~ aElementOf0(X3,xU)
| ~ sdtlseqdt0(sdtlpdtrp0(xf,X3),X3)
| aElementOf0(X3,xP) )
& ( ~ aUpperBoundOfIn0(X3,xT,xU)
| ~ aElementOf0(X3,xU)
| ~ sdtlseqdt0(sdtlpdtrp0(xf,X3),X3)
| aElementOf0(X3,xP) )
& aSet0(xP)
& xP = cS1241(xU,xf,xT) ),
inference(distribute,[status(thm)],[129]) ).
cnf(132,plain,
aSet0(xP),
inference(split_conjunct,[status(thm)],[130]) ).
cnf(138,plain,
( aElementOf0(X1,xU)
| ~ aElementOf0(X1,xP) ),
inference(split_conjunct,[status(thm)],[130]) ).
fof(181,plain,
( aSet0(xU)
& ! [X1] :
( ( ( ~ aSet0(X1)
| ? [X2] :
( aElementOf0(X2,X1)
& ~ aElementOf0(X2,xU) ) )
& ~ aSubsetOf0(X1,xU) )
| epred1_1(X1) )
& aCompleteLattice0(xU)
& aFunction0(xf)
& ! [X1,X2] :
( ~ aElementOf0(X1,szDzozmdt0(xf))
| ~ aElementOf0(X2,szDzozmdt0(xf))
| ~ sdtlseqdt0(X1,X2)
| sdtlseqdt0(sdtlpdtrp0(xf,X1),sdtlpdtrp0(xf,X2)) )
& isMonotone0(xf)
& szDzozmdt0(xf) = szRzazndt0(xf)
& szRzazndt0(xf) = xU
& isOn0(xf,xU) ),
inference(fof_nnf,[status(thm)],[32]) ).
fof(182,plain,
( aSet0(xU)
& ! [X3] :
( ( ( ~ aSet0(X3)
| ? [X4] :
( aElementOf0(X4,X3)
& ~ aElementOf0(X4,xU) ) )
& ~ aSubsetOf0(X3,xU) )
| epred1_1(X3) )
& aCompleteLattice0(xU)
& aFunction0(xf)
& ! [X5,X6] :
( ~ aElementOf0(X5,szDzozmdt0(xf))
| ~ aElementOf0(X6,szDzozmdt0(xf))
| ~ sdtlseqdt0(X5,X6)
| sdtlseqdt0(sdtlpdtrp0(xf,X5),sdtlpdtrp0(xf,X6)) )
& isMonotone0(xf)
& szDzozmdt0(xf) = szRzazndt0(xf)
& szRzazndt0(xf) = xU
& isOn0(xf,xU) ),
inference(variable_rename,[status(thm)],[181]) ).
fof(183,plain,
( aSet0(xU)
& ! [X3] :
( ( ( ~ aSet0(X3)
| ( aElementOf0(esk11_1(X3),X3)
& ~ aElementOf0(esk11_1(X3),xU) ) )
& ~ aSubsetOf0(X3,xU) )
| epred1_1(X3) )
& aCompleteLattice0(xU)
& aFunction0(xf)
& ! [X5,X6] :
( ~ aElementOf0(X5,szDzozmdt0(xf))
| ~ aElementOf0(X6,szDzozmdt0(xf))
| ~ sdtlseqdt0(X5,X6)
| sdtlseqdt0(sdtlpdtrp0(xf,X5),sdtlpdtrp0(xf,X6)) )
& isMonotone0(xf)
& szDzozmdt0(xf) = szRzazndt0(xf)
& szRzazndt0(xf) = xU
& isOn0(xf,xU) ),
inference(skolemize,[status(esa)],[182]) ).
fof(184,plain,
! [X3,X5,X6] :
( ( ~ aElementOf0(X5,szDzozmdt0(xf))
| ~ aElementOf0(X6,szDzozmdt0(xf))
| ~ sdtlseqdt0(X5,X6)
| sdtlseqdt0(sdtlpdtrp0(xf,X5),sdtlpdtrp0(xf,X6)) )
& ( ( ( ~ aSet0(X3)
| ( aElementOf0(esk11_1(X3),X3)
& ~ aElementOf0(esk11_1(X3),xU) ) )
& ~ aSubsetOf0(X3,xU) )
| epred1_1(X3) )
& aSet0(xU)
& aCompleteLattice0(xU)
& aFunction0(xf)
& isMonotone0(xf)
& szDzozmdt0(xf) = szRzazndt0(xf)
& szRzazndt0(xf) = xU
& isOn0(xf,xU) ),
inference(shift_quantors,[status(thm)],[183]) ).
fof(185,plain,
! [X3,X5,X6] :
( ( ~ aElementOf0(X5,szDzozmdt0(xf))
| ~ aElementOf0(X6,szDzozmdt0(xf))
| ~ sdtlseqdt0(X5,X6)
| sdtlseqdt0(sdtlpdtrp0(xf,X5),sdtlpdtrp0(xf,X6)) )
& ( aElementOf0(esk11_1(X3),X3)
| ~ aSet0(X3)
| epred1_1(X3) )
& ( ~ aElementOf0(esk11_1(X3),xU)
| ~ aSet0(X3)
| epred1_1(X3) )
& ( ~ aSubsetOf0(X3,xU)
| epred1_1(X3) )
& aSet0(xU)
& aCompleteLattice0(xU)
& aFunction0(xf)
& isMonotone0(xf)
& szDzozmdt0(xf) = szRzazndt0(xf)
& szRzazndt0(xf) = xU
& isOn0(xf,xU) ),
inference(distribute,[status(thm)],[184]) ).
cnf(194,plain,
( epred1_1(X1)
| ~ aSet0(X1)
| ~ aElementOf0(esk11_1(X1),xU) ),
inference(split_conjunct,[status(thm)],[185]) ).
cnf(195,plain,
( epred1_1(X1)
| aElementOf0(esk11_1(X1),X1)
| ~ aSet0(X1) ),
inference(split_conjunct,[status(thm)],[185]) ).
fof(207,negated_conjecture,
! [X1] :
( ( ~ aElementOf0(X1,xU)
| ( ( ~ aElementOf0(X1,xU)
| ? [X2] :
( aElementOf0(X2,xP)
& ~ sdtlseqdt0(X1,X2) ) )
& ~ aLowerBoundOfIn0(X1,xP,xU) )
| ? [X2] :
( aElementOf0(X2,xU)
& ! [X3] :
( ~ aElementOf0(X3,xP)
| sdtlseqdt0(X2,X3) )
& aLowerBoundOfIn0(X2,xP,xU)
& ~ sdtlseqdt0(X2,X1) ) )
& ~ aInfimumOfIn0(X1,xP,xU) ),
inference(fof_nnf,[status(thm)],[29]) ).
fof(208,negated_conjecture,
! [X4] :
( ( ~ aElementOf0(X4,xU)
| ( ( ~ aElementOf0(X4,xU)
| ? [X5] :
( aElementOf0(X5,xP)
& ~ sdtlseqdt0(X4,X5) ) )
& ~ aLowerBoundOfIn0(X4,xP,xU) )
| ? [X6] :
( aElementOf0(X6,xU)
& ! [X7] :
( ~ aElementOf0(X7,xP)
| sdtlseqdt0(X6,X7) )
& aLowerBoundOfIn0(X6,xP,xU)
& ~ sdtlseqdt0(X6,X4) ) )
& ~ aInfimumOfIn0(X4,xP,xU) ),
inference(variable_rename,[status(thm)],[207]) ).
fof(209,negated_conjecture,
! [X4] :
( ( ~ aElementOf0(X4,xU)
| ( ( ~ aElementOf0(X4,xU)
| ( aElementOf0(esk14_1(X4),xP)
& ~ sdtlseqdt0(X4,esk14_1(X4)) ) )
& ~ aLowerBoundOfIn0(X4,xP,xU) )
| ( aElementOf0(esk15_1(X4),xU)
& ! [X7] :
( ~ aElementOf0(X7,xP)
| sdtlseqdt0(esk15_1(X4),X7) )
& aLowerBoundOfIn0(esk15_1(X4),xP,xU)
& ~ sdtlseqdt0(esk15_1(X4),X4) ) )
& ~ aInfimumOfIn0(X4,xP,xU) ),
inference(skolemize,[status(esa)],[208]) ).
fof(210,negated_conjecture,
! [X4,X7] :
( ( ( ( ~ aElementOf0(X7,xP)
| sdtlseqdt0(esk15_1(X4),X7) )
& aElementOf0(esk15_1(X4),xU)
& aLowerBoundOfIn0(esk15_1(X4),xP,xU)
& ~ sdtlseqdt0(esk15_1(X4),X4) )
| ~ aElementOf0(X4,xU)
| ( ( ~ aElementOf0(X4,xU)
| ( aElementOf0(esk14_1(X4),xP)
& ~ sdtlseqdt0(X4,esk14_1(X4)) ) )
& ~ aLowerBoundOfIn0(X4,xP,xU) ) )
& ~ aInfimumOfIn0(X4,xP,xU) ),
inference(shift_quantors,[status(thm)],[209]) ).
fof(211,negated_conjecture,
! [X4,X7] :
( ( aElementOf0(esk14_1(X4),xP)
| ~ aElementOf0(X4,xU)
| ~ aElementOf0(X4,xU)
| ~ aElementOf0(X7,xP)
| sdtlseqdt0(esk15_1(X4),X7) )
& ( ~ sdtlseqdt0(X4,esk14_1(X4))
| ~ aElementOf0(X4,xU)
| ~ aElementOf0(X4,xU)
| ~ aElementOf0(X7,xP)
| sdtlseqdt0(esk15_1(X4),X7) )
& ( ~ aLowerBoundOfIn0(X4,xP,xU)
| ~ aElementOf0(X4,xU)
| ~ aElementOf0(X7,xP)
| sdtlseqdt0(esk15_1(X4),X7) )
& ( aElementOf0(esk14_1(X4),xP)
| ~ aElementOf0(X4,xU)
| ~ aElementOf0(X4,xU)
| aElementOf0(esk15_1(X4),xU) )
& ( ~ sdtlseqdt0(X4,esk14_1(X4))
| ~ aElementOf0(X4,xU)
| ~ aElementOf0(X4,xU)
| aElementOf0(esk15_1(X4),xU) )
& ( ~ aLowerBoundOfIn0(X4,xP,xU)
| ~ aElementOf0(X4,xU)
| aElementOf0(esk15_1(X4),xU) )
& ( aElementOf0(esk14_1(X4),xP)
| ~ aElementOf0(X4,xU)
| ~ aElementOf0(X4,xU)
| aLowerBoundOfIn0(esk15_1(X4),xP,xU) )
& ( ~ sdtlseqdt0(X4,esk14_1(X4))
| ~ aElementOf0(X4,xU)
| ~ aElementOf0(X4,xU)
| aLowerBoundOfIn0(esk15_1(X4),xP,xU) )
& ( ~ aLowerBoundOfIn0(X4,xP,xU)
| ~ aElementOf0(X4,xU)
| aLowerBoundOfIn0(esk15_1(X4),xP,xU) )
& ( aElementOf0(esk14_1(X4),xP)
| ~ aElementOf0(X4,xU)
| ~ aElementOf0(X4,xU)
| ~ sdtlseqdt0(esk15_1(X4),X4) )
& ( ~ sdtlseqdt0(X4,esk14_1(X4))
| ~ aElementOf0(X4,xU)
| ~ aElementOf0(X4,xU)
| ~ sdtlseqdt0(esk15_1(X4),X4) )
& ( ~ aLowerBoundOfIn0(X4,xP,xU)
| ~ aElementOf0(X4,xU)
| ~ sdtlseqdt0(esk15_1(X4),X4) )
& ~ aInfimumOfIn0(X4,xP,xU) ),
inference(distribute,[status(thm)],[210]) ).
cnf(212,negated_conjecture,
~ aInfimumOfIn0(X1,xP,xU),
inference(split_conjunct,[status(thm)],[211]) ).
fof(228,plain,
! [X1] :
( ~ epred1_1(X1)
| ? [X2] :
( aElementOf0(X2,xU)
& ! [X3] :
( ~ aElementOf0(X3,X1)
| sdtlseqdt0(X2,X3) )
& aLowerBoundOfIn0(X2,X1,xU)
& ! [X3] :
( ( ( ~ aElementOf0(X3,xU)
| ? [X4] :
( aElementOf0(X4,X1)
& ~ sdtlseqdt0(X3,X4) ) )
& ~ aLowerBoundOfIn0(X3,X1,xU) )
| sdtlseqdt0(X3,X2) )
& aInfimumOfIn0(X2,X1,xU)
& ? [X3] :
( aElementOf0(X3,xU)
& ! [X4] :
( ~ aElementOf0(X4,X1)
| sdtlseqdt0(X4,X3) )
& aUpperBoundOfIn0(X3,X1,xU)
& ! [X4] :
( ( ( ~ aElementOf0(X4,xU)
| ? [X5] :
( aElementOf0(X5,X1)
& ~ sdtlseqdt0(X5,X4) ) )
& ~ aUpperBoundOfIn0(X4,X1,xU) )
| sdtlseqdt0(X3,X4) )
& aSupremumOfIn0(X3,X1,xU) ) ) ),
inference(fof_nnf,[status(thm)],[31]) ).
fof(229,plain,
! [X6] :
( ~ epred1_1(X6)
| ? [X7] :
( aElementOf0(X7,xU)
& ! [X8] :
( ~ aElementOf0(X8,X6)
| sdtlseqdt0(X7,X8) )
& aLowerBoundOfIn0(X7,X6,xU)
& ! [X9] :
( ( ( ~ aElementOf0(X9,xU)
| ? [X10] :
( aElementOf0(X10,X6)
& ~ sdtlseqdt0(X9,X10) ) )
& ~ aLowerBoundOfIn0(X9,X6,xU) )
| sdtlseqdt0(X9,X7) )
& aInfimumOfIn0(X7,X6,xU)
& ? [X11] :
( aElementOf0(X11,xU)
& ! [X12] :
( ~ aElementOf0(X12,X6)
| sdtlseqdt0(X12,X11) )
& aUpperBoundOfIn0(X11,X6,xU)
& ! [X13] :
( ( ( ~ aElementOf0(X13,xU)
| ? [X14] :
( aElementOf0(X14,X6)
& ~ sdtlseqdt0(X14,X13) ) )
& ~ aUpperBoundOfIn0(X13,X6,xU) )
| sdtlseqdt0(X11,X13) )
& aSupremumOfIn0(X11,X6,xU) ) ) ),
inference(variable_rename,[status(thm)],[228]) ).
fof(230,plain,
! [X6] :
( ~ epred1_1(X6)
| ( aElementOf0(esk16_1(X6),xU)
& ! [X8] :
( ~ aElementOf0(X8,X6)
| sdtlseqdt0(esk16_1(X6),X8) )
& aLowerBoundOfIn0(esk16_1(X6),X6,xU)
& ! [X9] :
( ( ( ~ aElementOf0(X9,xU)
| ( aElementOf0(esk17_2(X6,X9),X6)
& ~ sdtlseqdt0(X9,esk17_2(X6,X9)) ) )
& ~ aLowerBoundOfIn0(X9,X6,xU) )
| sdtlseqdt0(X9,esk16_1(X6)) )
& aInfimumOfIn0(esk16_1(X6),X6,xU)
& aElementOf0(esk18_1(X6),xU)
& ! [X12] :
( ~ aElementOf0(X12,X6)
| sdtlseqdt0(X12,esk18_1(X6)) )
& aUpperBoundOfIn0(esk18_1(X6),X6,xU)
& ! [X13] :
( ( ( ~ aElementOf0(X13,xU)
| ( aElementOf0(esk19_2(X6,X13),X6)
& ~ sdtlseqdt0(esk19_2(X6,X13),X13) ) )
& ~ aUpperBoundOfIn0(X13,X6,xU) )
| sdtlseqdt0(esk18_1(X6),X13) )
& aSupremumOfIn0(esk18_1(X6),X6,xU) ) ),
inference(skolemize,[status(esa)],[229]) ).
fof(231,plain,
! [X6,X8,X9,X12,X13] :
( ( ( ( ( ~ aElementOf0(X13,xU)
| ( aElementOf0(esk19_2(X6,X13),X6)
& ~ sdtlseqdt0(esk19_2(X6,X13),X13) ) )
& ~ aUpperBoundOfIn0(X13,X6,xU) )
| sdtlseqdt0(esk18_1(X6),X13) )
& ( ~ aElementOf0(X12,X6)
| sdtlseqdt0(X12,esk18_1(X6)) )
& aElementOf0(esk18_1(X6),xU)
& aUpperBoundOfIn0(esk18_1(X6),X6,xU)
& aSupremumOfIn0(esk18_1(X6),X6,xU)
& ( ( ( ~ aElementOf0(X9,xU)
| ( aElementOf0(esk17_2(X6,X9),X6)
& ~ sdtlseqdt0(X9,esk17_2(X6,X9)) ) )
& ~ aLowerBoundOfIn0(X9,X6,xU) )
| sdtlseqdt0(X9,esk16_1(X6)) )
& ( ~ aElementOf0(X8,X6)
| sdtlseqdt0(esk16_1(X6),X8) )
& aElementOf0(esk16_1(X6),xU)
& aLowerBoundOfIn0(esk16_1(X6),X6,xU)
& aInfimumOfIn0(esk16_1(X6),X6,xU) )
| ~ epred1_1(X6) ),
inference(shift_quantors,[status(thm)],[230]) ).
fof(232,plain,
! [X6,X8,X9,X12,X13] :
( ( aElementOf0(esk19_2(X6,X13),X6)
| ~ aElementOf0(X13,xU)
| sdtlseqdt0(esk18_1(X6),X13)
| ~ epred1_1(X6) )
& ( ~ sdtlseqdt0(esk19_2(X6,X13),X13)
| ~ aElementOf0(X13,xU)
| sdtlseqdt0(esk18_1(X6),X13)
| ~ epred1_1(X6) )
& ( ~ aUpperBoundOfIn0(X13,X6,xU)
| sdtlseqdt0(esk18_1(X6),X13)
| ~ epred1_1(X6) )
& ( ~ aElementOf0(X12,X6)
| sdtlseqdt0(X12,esk18_1(X6))
| ~ epred1_1(X6) )
& ( aElementOf0(esk18_1(X6),xU)
| ~ epred1_1(X6) )
& ( aUpperBoundOfIn0(esk18_1(X6),X6,xU)
| ~ epred1_1(X6) )
& ( aSupremumOfIn0(esk18_1(X6),X6,xU)
| ~ epred1_1(X6) )
& ( aElementOf0(esk17_2(X6,X9),X6)
| ~ aElementOf0(X9,xU)
| sdtlseqdt0(X9,esk16_1(X6))
| ~ epred1_1(X6) )
& ( ~ sdtlseqdt0(X9,esk17_2(X6,X9))
| ~ aElementOf0(X9,xU)
| sdtlseqdt0(X9,esk16_1(X6))
| ~ epred1_1(X6) )
& ( ~ aLowerBoundOfIn0(X9,X6,xU)
| sdtlseqdt0(X9,esk16_1(X6))
| ~ epred1_1(X6) )
& ( ~ aElementOf0(X8,X6)
| sdtlseqdt0(esk16_1(X6),X8)
| ~ epred1_1(X6) )
& ( aElementOf0(esk16_1(X6),xU)
| ~ epred1_1(X6) )
& ( aLowerBoundOfIn0(esk16_1(X6),X6,xU)
| ~ epred1_1(X6) )
& ( aInfimumOfIn0(esk16_1(X6),X6,xU)
| ~ epred1_1(X6) ) ),
inference(distribute,[status(thm)],[231]) ).
cnf(233,plain,
( aInfimumOfIn0(esk16_1(X1),X1,xU)
| ~ epred1_1(X1) ),
inference(split_conjunct,[status(thm)],[232]) ).
cnf(278,plain,
~ epred1_1(xP),
inference(spm,[status(thm)],[212,233,theory(equality)]) ).
cnf(320,plain,
( aElementOf0(esk11_1(xP),xU)
| epred1_1(xP)
| ~ aSet0(xP) ),
inference(spm,[status(thm)],[138,195,theory(equality)]) ).
cnf(327,plain,
( aElementOf0(esk11_1(xP),xU)
| epred1_1(xP)
| $false ),
inference(rw,[status(thm)],[320,132,theory(equality)]) ).
cnf(328,plain,
( aElementOf0(esk11_1(xP),xU)
| epred1_1(xP) ),
inference(cn,[status(thm)],[327,theory(equality)]) ).
cnf(634,plain,
aElementOf0(esk11_1(xP),xU),
inference(sr,[status(thm)],[328,278,theory(equality)]) ).
cnf(637,plain,
( epred1_1(xP)
| ~ aSet0(xP) ),
inference(spm,[status(thm)],[194,634,theory(equality)]) ).
cnf(642,plain,
( epred1_1(xP)
| $false ),
inference(rw,[status(thm)],[637,132,theory(equality)]) ).
cnf(643,plain,
epred1_1(xP),
inference(cn,[status(thm)],[642,theory(equality)]) ).
cnf(644,plain,
$false,
inference(sr,[status(thm)],[643,278,theory(equality)]) ).
cnf(645,plain,
$false,
644,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/LAT/LAT385+4.p
% --creating new selector for []
% -running prover on /tmp/tmpl2i5pN/sel_LAT385+4.p_1 with time limit 29
% -prover status Theorem
% Problem LAT385+4.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/LAT/LAT385+4.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/LAT/LAT385+4.p
% Solved 1 out of 1.
% # Problem is unsatisfiable (or provable), constructing proof object
% # SZS status Theorem
% # SZS output start CNFRefutation.
% See solution above
% # SZS output end CNFRefutation
%
%------------------------------------------------------------------------------