TSTP Solution File: NUM469+1 by SInE---0.4
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- Process Solution
%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : NUM469+1 : TPTP v7.0.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : n138.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 15:21:27 EST 2018
% Result : Theorem 0.07s
% Output : CNFRefutation 0.07s
% Verified :
% SZS Type : Refutation
% Derivation depth : 55
% Number of leaves : 17
% Syntax : Number of formulae : 162 ( 20 unt; 0 def)
% Number of atoms : 651 ( 125 equ)
% Maximal formula atoms : 19 ( 4 avg)
% Number of connectives : 869 ( 380 ~; 418 |; 52 &)
% ( 2 <=>; 17 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 5 con; 0-2 aty)
% Number of variables : 191 ( 0 sgn 95 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(1,axiom,
! [X1] :
( aNaturalNumber0(X1)
=> ( equal(sdtasdt0(X1,sz00),sz00)
& equal(sz00,sdtasdt0(sz00,X1)) ) ),
file('/export/starexec/sandbox/tmp/tmpmEc0jp/sel_theBenchmark.p_1',m_MulZero) ).
fof(2,axiom,
( aNaturalNumber0(xl)
& aNaturalNumber0(xm)
& aNaturalNumber0(xn) ),
file('/export/starexec/sandbox/tmp/tmpmEc0jp/sel_theBenchmark.p_1',m__1240) ).
fof(3,axiom,
! [X1,X2,X3] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2)
& aNaturalNumber0(X3) )
=> ( ( doDivides0(X1,X2)
& doDivides0(X2,X3) )
=> doDivides0(X1,X3) ) ),
file('/export/starexec/sandbox/tmp/tmpmEc0jp/sel_theBenchmark.p_1',mDivTrans) ).
fof(6,axiom,
! [X1] :
( aNaturalNumber0(X1)
=> ( ~ equal(X1,sz00)
=> ! [X2,X3] :
( ( aNaturalNumber0(X2)
& aNaturalNumber0(X3) )
=> ( ( equal(sdtasdt0(X1,X2),sdtasdt0(X1,X3))
| equal(sdtasdt0(X2,X1),sdtasdt0(X3,X1)) )
=> equal(X2,X3) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmpmEc0jp/sel_theBenchmark.p_1',mMulCanc) ).
fof(8,axiom,
! [X1,X2] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> ( doDivides0(X1,X2)
<=> ? [X3] :
( aNaturalNumber0(X3)
& equal(X2,sdtasdt0(X1,X3)) ) ) ),
file('/export/starexec/sandbox/tmp/tmpmEc0jp/sel_theBenchmark.p_1',mDefDiv) ).
fof(12,axiom,
( ~ equal(xl,sz00)
=> equal(sdtpldt0(xm,xn),sdtasdt0(xl,sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)))) ),
file('/export/starexec/sandbox/tmp/tmpmEc0jp/sel_theBenchmark.p_1',m__1298) ).
fof(13,axiom,
( doDivides0(xl,xm)
& doDivides0(xl,xn) ),
file('/export/starexec/sandbox/tmp/tmpmEc0jp/sel_theBenchmark.p_1',m__1240_04) ).
fof(20,axiom,
! [X1,X2] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> ( ( ~ equal(X1,sz00)
& doDivides0(X1,X2) )
=> ! [X3] :
( equal(X3,sdtsldt0(X2,X1))
<=> ( aNaturalNumber0(X3)
& equal(X2,sdtasdt0(X1,X3)) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmpmEc0jp/sel_theBenchmark.p_1',mDefQuot) ).
fof(23,axiom,
( aNaturalNumber0(sz10)
& ~ equal(sz10,sz00) ),
file('/export/starexec/sandbox/tmp/tmpmEc0jp/sel_theBenchmark.p_1',mSortsC_01) ).
fof(24,conjecture,
doDivides0(xl,sdtpldt0(xm,xn)),
file('/export/starexec/sandbox/tmp/tmpmEc0jp/sel_theBenchmark.p_1',m__) ).
fof(25,axiom,
! [X1,X2,X3] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2)
& aNaturalNumber0(X3) )
=> equal(sdtasdt0(sdtasdt0(X1,X2),X3),sdtasdt0(X1,sdtasdt0(X2,X3))) ),
file('/export/starexec/sandbox/tmp/tmpmEc0jp/sel_theBenchmark.p_1',mMulAsso) ).
fof(29,axiom,
! [X1,X2] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> aNaturalNumber0(sdtasdt0(X1,X2)) ),
file('/export/starexec/sandbox/tmp/tmpmEc0jp/sel_theBenchmark.p_1',mSortsB_02) ).
fof(30,axiom,
aNaturalNumber0(sz00),
file('/export/starexec/sandbox/tmp/tmpmEc0jp/sel_theBenchmark.p_1',mSortsC) ).
fof(31,axiom,
! [X1,X2] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> aNaturalNumber0(sdtpldt0(X1,X2)) ),
file('/export/starexec/sandbox/tmp/tmpmEc0jp/sel_theBenchmark.p_1',mSortsB) ).
fof(34,axiom,
! [X1,X2] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> equal(sdtasdt0(X1,X2),sdtasdt0(X2,X1)) ),
file('/export/starexec/sandbox/tmp/tmpmEc0jp/sel_theBenchmark.p_1',mMulComm) ).
fof(35,axiom,
! [X1] :
( aNaturalNumber0(X1)
=> ( equal(sdtpldt0(X1,sz00),X1)
& equal(X1,sdtpldt0(sz00,X1)) ) ),
file('/export/starexec/sandbox/tmp/tmpmEc0jp/sel_theBenchmark.p_1',m_AddZero) ).
fof(36,axiom,
! [X1] :
( aNaturalNumber0(X1)
=> ( equal(sdtasdt0(X1,sz10),X1)
& equal(X1,sdtasdt0(sz10,X1)) ) ),
file('/export/starexec/sandbox/tmp/tmpmEc0jp/sel_theBenchmark.p_1',m_MulUnit) ).
fof(37,negated_conjecture,
~ doDivides0(xl,sdtpldt0(xm,xn)),
inference(assume_negation,[status(cth)],[24]) ).
fof(38,negated_conjecture,
~ doDivides0(xl,sdtpldt0(xm,xn)),
inference(fof_simplification,[status(thm)],[37,theory(equality)]) ).
fof(39,plain,
! [X1] :
( ~ aNaturalNumber0(X1)
| ( equal(sdtasdt0(X1,sz00),sz00)
& equal(sz00,sdtasdt0(sz00,X1)) ) ),
inference(fof_nnf,[status(thm)],[1]) ).
fof(40,plain,
! [X2] :
( ~ aNaturalNumber0(X2)
| ( equal(sdtasdt0(X2,sz00),sz00)
& equal(sz00,sdtasdt0(sz00,X2)) ) ),
inference(variable_rename,[status(thm)],[39]) ).
fof(41,plain,
! [X2] :
( ( equal(sdtasdt0(X2,sz00),sz00)
| ~ aNaturalNumber0(X2) )
& ( equal(sz00,sdtasdt0(sz00,X2))
| ~ aNaturalNumber0(X2) ) ),
inference(distribute,[status(thm)],[40]) ).
cnf(42,plain,
( sz00 = sdtasdt0(sz00,X1)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[41]) ).
cnf(43,plain,
( sdtasdt0(X1,sz00) = sz00
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[41]) ).
cnf(44,plain,
aNaturalNumber0(xn),
inference(split_conjunct,[status(thm)],[2]) ).
cnf(45,plain,
aNaturalNumber0(xm),
inference(split_conjunct,[status(thm)],[2]) ).
cnf(46,plain,
aNaturalNumber0(xl),
inference(split_conjunct,[status(thm)],[2]) ).
fof(47,plain,
! [X1,X2,X3] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ~ doDivides0(X1,X2)
| ~ doDivides0(X2,X3)
| doDivides0(X1,X3) ),
inference(fof_nnf,[status(thm)],[3]) ).
fof(48,plain,
! [X4,X5,X6] :
( ~ aNaturalNumber0(X4)
| ~ aNaturalNumber0(X5)
| ~ aNaturalNumber0(X6)
| ~ doDivides0(X4,X5)
| ~ doDivides0(X5,X6)
| doDivides0(X4,X6) ),
inference(variable_rename,[status(thm)],[47]) ).
cnf(49,plain,
( doDivides0(X1,X2)
| ~ doDivides0(X3,X2)
| ~ doDivides0(X1,X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[48]) ).
fof(56,plain,
! [X1] :
( ~ aNaturalNumber0(X1)
| equal(X1,sz00)
| ! [X2,X3] :
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ( ~ equal(sdtasdt0(X1,X2),sdtasdt0(X1,X3))
& ~ equal(sdtasdt0(X2,X1),sdtasdt0(X3,X1)) )
| equal(X2,X3) ) ),
inference(fof_nnf,[status(thm)],[6]) ).
fof(57,plain,
! [X4] :
( ~ aNaturalNumber0(X4)
| equal(X4,sz00)
| ! [X5,X6] :
( ~ aNaturalNumber0(X5)
| ~ aNaturalNumber0(X6)
| ( ~ equal(sdtasdt0(X4,X5),sdtasdt0(X4,X6))
& ~ equal(sdtasdt0(X5,X4),sdtasdt0(X6,X4)) )
| equal(X5,X6) ) ),
inference(variable_rename,[status(thm)],[56]) ).
fof(58,plain,
! [X4,X5,X6] :
( ~ aNaturalNumber0(X5)
| ~ aNaturalNumber0(X6)
| ( ~ equal(sdtasdt0(X4,X5),sdtasdt0(X4,X6))
& ~ equal(sdtasdt0(X5,X4),sdtasdt0(X6,X4)) )
| equal(X5,X6)
| equal(X4,sz00)
| ~ aNaturalNumber0(X4) ),
inference(shift_quantors,[status(thm)],[57]) ).
fof(59,plain,
! [X4,X5,X6] :
( ( ~ equal(sdtasdt0(X4,X5),sdtasdt0(X4,X6))
| equal(X5,X6)
| ~ aNaturalNumber0(X5)
| ~ aNaturalNumber0(X6)
| equal(X4,sz00)
| ~ aNaturalNumber0(X4) )
& ( ~ equal(sdtasdt0(X5,X4),sdtasdt0(X6,X4))
| equal(X5,X6)
| ~ aNaturalNumber0(X5)
| ~ aNaturalNumber0(X6)
| equal(X4,sz00)
| ~ aNaturalNumber0(X4) ) ),
inference(distribute,[status(thm)],[58]) ).
cnf(60,plain,
( X1 = sz00
| X3 = X2
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| sdtasdt0(X3,X1) != sdtasdt0(X2,X1) ),
inference(split_conjunct,[status(thm)],[59]) ).
fof(67,plain,
! [X1,X2] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ( ( ~ doDivides0(X1,X2)
| ? [X3] :
( aNaturalNumber0(X3)
& equal(X2,sdtasdt0(X1,X3)) ) )
& ( ! [X3] :
( ~ aNaturalNumber0(X3)
| ~ equal(X2,sdtasdt0(X1,X3)) )
| doDivides0(X1,X2) ) ) ),
inference(fof_nnf,[status(thm)],[8]) ).
fof(68,plain,
! [X4,X5] :
( ~ aNaturalNumber0(X4)
| ~ aNaturalNumber0(X5)
| ( ( ~ doDivides0(X4,X5)
| ? [X6] :
( aNaturalNumber0(X6)
& equal(X5,sdtasdt0(X4,X6)) ) )
& ( ! [X7] :
( ~ aNaturalNumber0(X7)
| ~ equal(X5,sdtasdt0(X4,X7)) )
| doDivides0(X4,X5) ) ) ),
inference(variable_rename,[status(thm)],[67]) ).
fof(69,plain,
! [X4,X5] :
( ~ aNaturalNumber0(X4)
| ~ aNaturalNumber0(X5)
| ( ( ~ doDivides0(X4,X5)
| ( aNaturalNumber0(esk1_2(X4,X5))
& equal(X5,sdtasdt0(X4,esk1_2(X4,X5))) ) )
& ( ! [X7] :
( ~ aNaturalNumber0(X7)
| ~ equal(X5,sdtasdt0(X4,X7)) )
| doDivides0(X4,X5) ) ) ),
inference(skolemize,[status(esa)],[68]) ).
fof(70,plain,
! [X4,X5,X7] :
( ( ( ~ aNaturalNumber0(X7)
| ~ equal(X5,sdtasdt0(X4,X7))
| doDivides0(X4,X5) )
& ( ~ doDivides0(X4,X5)
| ( aNaturalNumber0(esk1_2(X4,X5))
& equal(X5,sdtasdt0(X4,esk1_2(X4,X5))) ) ) )
| ~ aNaturalNumber0(X4)
| ~ aNaturalNumber0(X5) ),
inference(shift_quantors,[status(thm)],[69]) ).
fof(71,plain,
! [X4,X5,X7] :
( ( ~ aNaturalNumber0(X7)
| ~ equal(X5,sdtasdt0(X4,X7))
| doDivides0(X4,X5)
| ~ aNaturalNumber0(X4)
| ~ aNaturalNumber0(X5) )
& ( aNaturalNumber0(esk1_2(X4,X5))
| ~ doDivides0(X4,X5)
| ~ aNaturalNumber0(X4)
| ~ aNaturalNumber0(X5) )
& ( equal(X5,sdtasdt0(X4,esk1_2(X4,X5)))
| ~ doDivides0(X4,X5)
| ~ aNaturalNumber0(X4)
| ~ aNaturalNumber0(X5) ) ),
inference(distribute,[status(thm)],[70]) ).
cnf(72,plain,
( X1 = sdtasdt0(X2,esk1_2(X2,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ doDivides0(X2,X1) ),
inference(split_conjunct,[status(thm)],[71]) ).
cnf(73,plain,
( aNaturalNumber0(esk1_2(X2,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ doDivides0(X2,X1) ),
inference(split_conjunct,[status(thm)],[71]) ).
cnf(74,plain,
( doDivides0(X2,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| X1 != sdtasdt0(X2,X3)
| ~ aNaturalNumber0(X3) ),
inference(split_conjunct,[status(thm)],[71]) ).
fof(86,plain,
( equal(xl,sz00)
| equal(sdtpldt0(xm,xn),sdtasdt0(xl,sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)))) ),
inference(fof_nnf,[status(thm)],[12]) ).
cnf(87,plain,
( sdtpldt0(xm,xn) = sdtasdt0(xl,sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)))
| xl = sz00 ),
inference(split_conjunct,[status(thm)],[86]) ).
cnf(88,plain,
doDivides0(xl,xn),
inference(split_conjunct,[status(thm)],[13]) ).
cnf(89,plain,
doDivides0(xl,xm),
inference(split_conjunct,[status(thm)],[13]) ).
fof(122,plain,
! [X1,X2] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| equal(X1,sz00)
| ~ doDivides0(X1,X2)
| ! [X3] :
( ( ~ equal(X3,sdtsldt0(X2,X1))
| ( aNaturalNumber0(X3)
& equal(X2,sdtasdt0(X1,X3)) ) )
& ( ~ aNaturalNumber0(X3)
| ~ equal(X2,sdtasdt0(X1,X3))
| equal(X3,sdtsldt0(X2,X1)) ) ) ),
inference(fof_nnf,[status(thm)],[20]) ).
fof(123,plain,
! [X4,X5] :
( ~ aNaturalNumber0(X4)
| ~ aNaturalNumber0(X5)
| equal(X4,sz00)
| ~ doDivides0(X4,X5)
| ! [X6] :
( ( ~ equal(X6,sdtsldt0(X5,X4))
| ( aNaturalNumber0(X6)
& equal(X5,sdtasdt0(X4,X6)) ) )
& ( ~ aNaturalNumber0(X6)
| ~ equal(X5,sdtasdt0(X4,X6))
| equal(X6,sdtsldt0(X5,X4)) ) ) ),
inference(variable_rename,[status(thm)],[122]) ).
fof(124,plain,
! [X4,X5,X6] :
( ( ( ~ equal(X6,sdtsldt0(X5,X4))
| ( aNaturalNumber0(X6)
& equal(X5,sdtasdt0(X4,X6)) ) )
& ( ~ aNaturalNumber0(X6)
| ~ equal(X5,sdtasdt0(X4,X6))
| equal(X6,sdtsldt0(X5,X4)) ) )
| equal(X4,sz00)
| ~ doDivides0(X4,X5)
| ~ aNaturalNumber0(X4)
| ~ aNaturalNumber0(X5) ),
inference(shift_quantors,[status(thm)],[123]) ).
fof(125,plain,
! [X4,X5,X6] :
( ( aNaturalNumber0(X6)
| ~ equal(X6,sdtsldt0(X5,X4))
| equal(X4,sz00)
| ~ doDivides0(X4,X5)
| ~ aNaturalNumber0(X4)
| ~ aNaturalNumber0(X5) )
& ( equal(X5,sdtasdt0(X4,X6))
| ~ equal(X6,sdtsldt0(X5,X4))
| equal(X4,sz00)
| ~ doDivides0(X4,X5)
| ~ aNaturalNumber0(X4)
| ~ aNaturalNumber0(X5) )
& ( ~ aNaturalNumber0(X6)
| ~ equal(X5,sdtasdt0(X4,X6))
| equal(X6,sdtsldt0(X5,X4))
| equal(X4,sz00)
| ~ doDivides0(X4,X5)
| ~ aNaturalNumber0(X4)
| ~ aNaturalNumber0(X5) ) ),
inference(distribute,[status(thm)],[124]) ).
cnf(128,plain,
( X2 = sz00
| aNaturalNumber0(X3)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ doDivides0(X2,X1)
| X3 != sdtsldt0(X1,X2) ),
inference(split_conjunct,[status(thm)],[125]) ).
cnf(137,plain,
sz10 != sz00,
inference(split_conjunct,[status(thm)],[23]) ).
cnf(138,plain,
aNaturalNumber0(sz10),
inference(split_conjunct,[status(thm)],[23]) ).
cnf(139,negated_conjecture,
~ doDivides0(xl,sdtpldt0(xm,xn)),
inference(split_conjunct,[status(thm)],[38]) ).
fof(140,plain,
! [X1,X2,X3] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| equal(sdtasdt0(sdtasdt0(X1,X2),X3),sdtasdt0(X1,sdtasdt0(X2,X3))) ),
inference(fof_nnf,[status(thm)],[25]) ).
fof(141,plain,
! [X4,X5,X6] :
( ~ aNaturalNumber0(X4)
| ~ aNaturalNumber0(X5)
| ~ aNaturalNumber0(X6)
| equal(sdtasdt0(sdtasdt0(X4,X5),X6),sdtasdt0(X4,sdtasdt0(X5,X6))) ),
inference(variable_rename,[status(thm)],[140]) ).
cnf(142,plain,
( sdtasdt0(sdtasdt0(X1,X2),X3) = sdtasdt0(X1,sdtasdt0(X2,X3))
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[141]) ).
fof(158,plain,
! [X1,X2] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| aNaturalNumber0(sdtasdt0(X1,X2)) ),
inference(fof_nnf,[status(thm)],[29]) ).
fof(159,plain,
! [X3,X4] :
( ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X4)
| aNaturalNumber0(sdtasdt0(X3,X4)) ),
inference(variable_rename,[status(thm)],[158]) ).
cnf(160,plain,
( aNaturalNumber0(sdtasdt0(X1,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[159]) ).
cnf(161,plain,
aNaturalNumber0(sz00),
inference(split_conjunct,[status(thm)],[30]) ).
fof(162,plain,
! [X1,X2] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| aNaturalNumber0(sdtpldt0(X1,X2)) ),
inference(fof_nnf,[status(thm)],[31]) ).
fof(163,plain,
! [X3,X4] :
( ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X4)
| aNaturalNumber0(sdtpldt0(X3,X4)) ),
inference(variable_rename,[status(thm)],[162]) ).
cnf(164,plain,
( aNaturalNumber0(sdtpldt0(X1,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[163]) ).
fof(173,plain,
! [X1,X2] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| equal(sdtasdt0(X1,X2),sdtasdt0(X2,X1)) ),
inference(fof_nnf,[status(thm)],[34]) ).
fof(174,plain,
! [X3,X4] :
( ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X4)
| equal(sdtasdt0(X3,X4),sdtasdt0(X4,X3)) ),
inference(variable_rename,[status(thm)],[173]) ).
cnf(175,plain,
( sdtasdt0(X1,X2) = sdtasdt0(X2,X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[174]) ).
fof(176,plain,
! [X1] :
( ~ aNaturalNumber0(X1)
| ( equal(sdtpldt0(X1,sz00),X1)
& equal(X1,sdtpldt0(sz00,X1)) ) ),
inference(fof_nnf,[status(thm)],[35]) ).
fof(177,plain,
! [X2] :
( ~ aNaturalNumber0(X2)
| ( equal(sdtpldt0(X2,sz00),X2)
& equal(X2,sdtpldt0(sz00,X2)) ) ),
inference(variable_rename,[status(thm)],[176]) ).
fof(178,plain,
! [X2] :
( ( equal(sdtpldt0(X2,sz00),X2)
| ~ aNaturalNumber0(X2) )
& ( equal(X2,sdtpldt0(sz00,X2))
| ~ aNaturalNumber0(X2) ) ),
inference(distribute,[status(thm)],[177]) ).
cnf(179,plain,
( X1 = sdtpldt0(sz00,X1)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[178]) ).
fof(181,plain,
! [X1] :
( ~ aNaturalNumber0(X1)
| ( equal(sdtasdt0(X1,sz10),X1)
& equal(X1,sdtasdt0(sz10,X1)) ) ),
inference(fof_nnf,[status(thm)],[36]) ).
fof(182,plain,
! [X2] :
( ~ aNaturalNumber0(X2)
| ( equal(sdtasdt0(X2,sz10),X2)
& equal(X2,sdtasdt0(sz10,X2)) ) ),
inference(variable_rename,[status(thm)],[181]) ).
fof(183,plain,
! [X2] :
( ( equal(sdtasdt0(X2,sz10),X2)
| ~ aNaturalNumber0(X2) )
& ( equal(X2,sdtasdt0(sz10,X2))
| ~ aNaturalNumber0(X2) ) ),
inference(distribute,[status(thm)],[182]) ).
cnf(185,plain,
( sdtasdt0(X1,sz10) = X1
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[183]) ).
cnf(298,plain,
( doDivides0(X1,xm)
| ~ doDivides0(X1,xl)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X1) ),
inference(spm,[status(thm)],[49,89,theory(equality)]) ).
cnf(299,plain,
( doDivides0(X1,xn)
| ~ doDivides0(X1,xl)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1) ),
inference(spm,[status(thm)],[49,88,theory(equality)]) ).
cnf(300,plain,
( doDivides0(X1,xm)
| ~ doDivides0(X1,xl)
| $false
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X1) ),
inference(rw,[status(thm)],[298,46,theory(equality)]) ).
cnf(301,plain,
( doDivides0(X1,xm)
| ~ doDivides0(X1,xl)
| $false
| $false
| ~ aNaturalNumber0(X1) ),
inference(rw,[status(thm)],[300,45,theory(equality)]) ).
cnf(302,plain,
( doDivides0(X1,xm)
| ~ doDivides0(X1,xl)
| ~ aNaturalNumber0(X1) ),
inference(cn,[status(thm)],[301,theory(equality)]) ).
cnf(303,plain,
( doDivides0(X1,xn)
| ~ doDivides0(X1,xl)
| $false
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1) ),
inference(rw,[status(thm)],[299,46,theory(equality)]) ).
cnf(304,plain,
( doDivides0(X1,xn)
| ~ doDivides0(X1,xl)
| $false
| $false
| ~ aNaturalNumber0(X1) ),
inference(rw,[status(thm)],[303,44,theory(equality)]) ).
cnf(305,plain,
( doDivides0(X1,xn)
| ~ doDivides0(X1,xl)
| ~ aNaturalNumber0(X1) ),
inference(cn,[status(thm)],[304,theory(equality)]) ).
cnf(341,plain,
( doDivides0(X1,sdtasdt0(X1,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(sdtasdt0(X1,X2)) ),
inference(er,[status(thm)],[74,theory(equality)]) ).
cnf(342,plain,
( doDivides0(X1,X2)
| sz00 != X2
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(spm,[status(thm)],[74,43,theory(equality)]) ).
cnf(349,plain,
( doDivides0(X1,X2)
| sz00 != X2
| $false
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(rw,[status(thm)],[342,161,theory(equality)]) ).
cnf(350,plain,
( doDivides0(X1,X2)
| sz00 != X2
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(cn,[status(thm)],[349,theory(equality)]) ).
cnf(361,plain,
( X1 = sz00
| ~ aNaturalNumber0(esk1_2(sz00,X1))
| ~ doDivides0(sz00,X1)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1) ),
inference(spm,[status(thm)],[42,72,theory(equality)]) ).
cnf(367,plain,
( X1 = sz00
| ~ aNaturalNumber0(esk1_2(sz00,X1))
| ~ doDivides0(sz00,X1)
| $false
| ~ aNaturalNumber0(X1) ),
inference(rw,[status(thm)],[361,161,theory(equality)]) ).
cnf(368,plain,
( X1 = sz00
| ~ aNaturalNumber0(esk1_2(sz00,X1))
| ~ doDivides0(sz00,X1)
| ~ aNaturalNumber0(X1) ),
inference(cn,[status(thm)],[367,theory(equality)]) ).
cnf(421,plain,
( sz00 = X1
| aNaturalNumber0(sdtsldt0(X2,X1))
| ~ doDivides0(X1,X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(er,[status(thm)],[128,theory(equality)]) ).
cnf(431,plain,
( sz00 = sz10
| X1 = X2
| X1 != sdtasdt0(X2,sz10)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(sz10) ),
inference(spm,[status(thm)],[60,185,theory(equality)]) ).
cnf(447,plain,
( sz00 = sz10
| X1 = X2
| X1 != sdtasdt0(X2,sz10)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| $false ),
inference(rw,[status(thm)],[431,138,theory(equality)]) ).
cnf(448,plain,
( sz00 = sz10
| X1 = X2
| X1 != sdtasdt0(X2,sz10)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(cn,[status(thm)],[447,theory(equality)]) ).
cnf(449,plain,
( X1 = X2
| X1 != sdtasdt0(X2,sz10)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(sr,[status(thm)],[448,137,theory(equality)]) ).
cnf(816,plain,
( X1 = sdtasdt0(X2,X3)
| X1 != sdtasdt0(X2,sdtasdt0(X3,sz10))
| ~ aNaturalNumber0(sdtasdt0(X2,X3))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2) ),
inference(spm,[status(thm)],[449,142,theory(equality)]) ).
cnf(826,plain,
( X1 = sdtasdt0(X2,X3)
| X1 != sdtasdt0(X2,sdtasdt0(X3,sz10))
| ~ aNaturalNumber0(sdtasdt0(X2,X3))
| ~ aNaturalNumber0(X1)
| $false
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2) ),
inference(rw,[status(thm)],[816,138,theory(equality)]) ).
cnf(827,plain,
( X1 = sdtasdt0(X2,X3)
| X1 != sdtasdt0(X2,sdtasdt0(X3,sz10))
| ~ aNaturalNumber0(sdtasdt0(X2,X3))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2) ),
inference(cn,[status(thm)],[826,theory(equality)]) ).
cnf(1034,plain,
( X1 = sdtasdt0(X2,X3)
| X1 != sdtasdt0(X2,sdtasdt0(X3,sz10))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2) ),
inference(csr,[status(thm)],[827,160]) ).
cnf(1037,plain,
( X1 = sdtasdt0(sz00,X2)
| X1 != sz00
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(X2,sz10)) ),
inference(spm,[status(thm)],[1034,42,theory(equality)]) ).
cnf(1050,plain,
( X1 = sdtasdt0(sz00,X2)
| X1 != sz00
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| $false
| ~ aNaturalNumber0(sdtasdt0(X2,sz10)) ),
inference(rw,[status(thm)],[1037,161,theory(equality)]) ).
cnf(1051,plain,
( X1 = sdtasdt0(sz00,X2)
| X1 != sz00
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(sdtasdt0(X2,sz10)) ),
inference(cn,[status(thm)],[1050,theory(equality)]) ).
cnf(1129,plain,
( X1 = sdtasdt0(sz00,X2)
| X1 != sz00
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(spm,[status(thm)],[1051,185,theory(equality)]) ).
cnf(1378,plain,
( xl = sdtasdt0(sz00,X1)
| xl != sz00
| ~ aNaturalNumber0(X1) ),
inference(spm,[status(thm)],[1129,46,theory(equality)]) ).
cnf(1417,plain,
( xl = sdtasdt0(X1,sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(sz00)
| xl != sz00 ),
inference(spm,[status(thm)],[175,1378,theory(equality)]) ).
cnf(1449,plain,
( xl = sdtasdt0(X1,sz00)
| ~ aNaturalNumber0(X1)
| $false
| xl != sz00 ),
inference(rw,[status(thm)],[1417,161,theory(equality)]) ).
cnf(1450,plain,
( xl = sdtasdt0(X1,sz00)
| ~ aNaturalNumber0(X1)
| xl != sz00 ),
inference(cn,[status(thm)],[1449,theory(equality)]) ).
cnf(1694,plain,
( doDivides0(X1,X2)
| xl != X2
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| xl != sz00 ),
inference(spm,[status(thm)],[74,1450,theory(equality)]) ).
cnf(1726,plain,
( doDivides0(X1,X2)
| xl != X2
| $false
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| xl != sz00 ),
inference(rw,[status(thm)],[1694,161,theory(equality)]) ).
cnf(1727,plain,
( doDivides0(X1,X2)
| xl != X2
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| xl != sz00 ),
inference(cn,[status(thm)],[1726,theory(equality)]) ).
cnf(2072,plain,
( xl != sz00
| xl != sdtpldt0(xm,xn)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sdtpldt0(xm,xn)) ),
inference(spm,[status(thm)],[139,1727,theory(equality)]) ).
cnf(2076,plain,
( xl != sz00
| xl != sdtpldt0(xm,xn)
| $false
| ~ aNaturalNumber0(sdtpldt0(xm,xn)) ),
inference(rw,[status(thm)],[2072,46,theory(equality)]) ).
cnf(2077,plain,
( xl != sz00
| xl != sdtpldt0(xm,xn)
| ~ aNaturalNumber0(sdtpldt0(xm,xn)) ),
inference(cn,[status(thm)],[2076,theory(equality)]) ).
cnf(2080,plain,
( sdtpldt0(xm,xn) != xl
| xl != sz00
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xm) ),
inference(spm,[status(thm)],[2077,164,theory(equality)]) ).
cnf(2081,plain,
( sdtpldt0(xm,xn) != xl
| xl != sz00
| $false
| ~ aNaturalNumber0(xm) ),
inference(rw,[status(thm)],[2080,44,theory(equality)]) ).
cnf(2082,plain,
( sdtpldt0(xm,xn) != xl
| xl != sz00
| $false
| $false ),
inference(rw,[status(thm)],[2081,45,theory(equality)]) ).
cnf(2083,plain,
( sdtpldt0(xm,xn) != xl
| xl != sz00 ),
inference(cn,[status(thm)],[2082,theory(equality)]) ).
cnf(2950,plain,
( doDivides0(X1,sdtasdt0(X1,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(csr,[status(thm)],[341,160]) ).
cnf(3174,plain,
( X1 = sz00
| ~ doDivides0(sz00,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(sz00) ),
inference(spm,[status(thm)],[368,73,theory(equality)]) ).
cnf(3176,plain,
( X1 = sz00
| ~ doDivides0(sz00,X1)
| ~ aNaturalNumber0(X1)
| $false ),
inference(rw,[status(thm)],[3174,161,theory(equality)]) ).
cnf(3177,plain,
( X1 = sz00
| ~ doDivides0(sz00,X1)
| ~ aNaturalNumber0(X1) ),
inference(cn,[status(thm)],[3176,theory(equality)]) ).
cnf(3196,plain,
( xm = sz00
| ~ aNaturalNumber0(xm)
| ~ doDivides0(sz00,xl)
| ~ aNaturalNumber0(sz00) ),
inference(spm,[status(thm)],[3177,302,theory(equality)]) ).
cnf(3197,plain,
( xn = sz00
| ~ aNaturalNumber0(xn)
| ~ doDivides0(sz00,xl)
| ~ aNaturalNumber0(sz00) ),
inference(spm,[status(thm)],[3177,305,theory(equality)]) ).
cnf(3210,plain,
( xm = sz00
| $false
| ~ doDivides0(sz00,xl)
| ~ aNaturalNumber0(sz00) ),
inference(rw,[status(thm)],[3196,45,theory(equality)]) ).
cnf(3211,plain,
( xm = sz00
| $false
| ~ doDivides0(sz00,xl)
| $false ),
inference(rw,[status(thm)],[3210,161,theory(equality)]) ).
cnf(3212,plain,
( xm = sz00
| ~ doDivides0(sz00,xl) ),
inference(cn,[status(thm)],[3211,theory(equality)]) ).
cnf(3213,plain,
( xn = sz00
| $false
| ~ doDivides0(sz00,xl)
| ~ aNaturalNumber0(sz00) ),
inference(rw,[status(thm)],[3197,44,theory(equality)]) ).
cnf(3214,plain,
( xn = sz00
| $false
| ~ doDivides0(sz00,xl)
| $false ),
inference(rw,[status(thm)],[3213,161,theory(equality)]) ).
cnf(3215,plain,
( xn = sz00
| ~ doDivides0(sz00,xl) ),
inference(cn,[status(thm)],[3214,theory(equality)]) ).
cnf(3237,plain,
( xm = sz00
| sz00 != xl
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xl) ),
inference(spm,[status(thm)],[3212,350,theory(equality)]) ).
cnf(3245,plain,
( xm = sz00
| sz00 != xl
| $false
| ~ aNaturalNumber0(xl) ),
inference(rw,[status(thm)],[3237,161,theory(equality)]) ).
cnf(3246,plain,
( xm = sz00
| sz00 != xl
| $false
| $false ),
inference(rw,[status(thm)],[3245,46,theory(equality)]) ).
cnf(3247,plain,
( xm = sz00
| sz00 != xl ),
inference(cn,[status(thm)],[3246,theory(equality)]) ).
cnf(3277,plain,
( sdtpldt0(sz00,xn) != xl
| xl != sz00 ),
inference(spm,[status(thm)],[2083,3247,theory(equality)]) ).
cnf(3310,plain,
( xn = sz00
| sz00 != xl
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xl) ),
inference(spm,[status(thm)],[3215,350,theory(equality)]) ).
cnf(3318,plain,
( xn = sz00
| sz00 != xl
| $false
| ~ aNaturalNumber0(xl) ),
inference(rw,[status(thm)],[3310,161,theory(equality)]) ).
cnf(3319,plain,
( xn = sz00
| sz00 != xl
| $false
| $false ),
inference(rw,[status(thm)],[3318,46,theory(equality)]) ).
cnf(3320,plain,
( xn = sz00
| sz00 != xl ),
inference(cn,[status(thm)],[3319,theory(equality)]) ).
cnf(3459,plain,
( xn != xl
| xl != sz00
| ~ aNaturalNumber0(xn) ),
inference(spm,[status(thm)],[3277,179,theory(equality)]) ).
cnf(3462,plain,
( xn != xl
| xl != sz00
| $false ),
inference(rw,[status(thm)],[3459,44,theory(equality)]) ).
cnf(3463,plain,
( xn != xl
| xl != sz00 ),
inference(cn,[status(thm)],[3462,theory(equality)]) ).
cnf(3467,plain,
sz00 != xl,
inference(spm,[status(thm)],[3463,3320,theory(equality)]) ).
cnf(3474,plain,
sdtasdt0(xl,sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))) = sdtpldt0(xm,xn),
inference(sr,[status(thm)],[87,3467,theory(equality)]) ).
cnf(3500,plain,
( doDivides0(xl,sdtpldt0(xm,xn))
| ~ aNaturalNumber0(sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)))
| ~ aNaturalNumber0(xl) ),
inference(spm,[status(thm)],[2950,3474,theory(equality)]) ).
cnf(3553,plain,
( doDivides0(xl,sdtpldt0(xm,xn))
| ~ aNaturalNumber0(sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)))
| $false ),
inference(rw,[status(thm)],[3500,46,theory(equality)]) ).
cnf(3554,plain,
( doDivides0(xl,sdtpldt0(xm,xn))
| ~ aNaturalNumber0(sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))) ),
inference(cn,[status(thm)],[3553,theory(equality)]) ).
cnf(3555,plain,
~ aNaturalNumber0(sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))),
inference(sr,[status(thm)],[3554,139,theory(equality)]) ).
cnf(3590,plain,
( ~ aNaturalNumber0(sdtsldt0(xn,xl))
| ~ aNaturalNumber0(sdtsldt0(xm,xl)) ),
inference(spm,[status(thm)],[3555,164,theory(equality)]) ).
cnf(6173,plain,
( sz00 = xl
| ~ aNaturalNumber0(sdtsldt0(xm,xl))
| ~ doDivides0(xl,xn)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(xn) ),
inference(spm,[status(thm)],[3590,421,theory(equality)]) ).
cnf(6180,plain,
( sz00 = xl
| ~ aNaturalNumber0(sdtsldt0(xm,xl))
| $false
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(xn) ),
inference(rw,[status(thm)],[6173,88,theory(equality)]) ).
cnf(6181,plain,
( sz00 = xl
| ~ aNaturalNumber0(sdtsldt0(xm,xl))
| $false
| $false
| ~ aNaturalNumber0(xn) ),
inference(rw,[status(thm)],[6180,46,theory(equality)]) ).
cnf(6182,plain,
( sz00 = xl
| ~ aNaturalNumber0(sdtsldt0(xm,xl))
| $false
| $false
| $false ),
inference(rw,[status(thm)],[6181,44,theory(equality)]) ).
cnf(6183,plain,
( sz00 = xl
| ~ aNaturalNumber0(sdtsldt0(xm,xl)) ),
inference(cn,[status(thm)],[6182,theory(equality)]) ).
cnf(6184,plain,
~ aNaturalNumber0(sdtsldt0(xm,xl)),
inference(sr,[status(thm)],[6183,3467,theory(equality)]) ).
cnf(6385,plain,
( sz00 = xl
| ~ doDivides0(xl,xm)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(xm) ),
inference(spm,[status(thm)],[6184,421,theory(equality)]) ).
cnf(6391,plain,
( sz00 = xl
| $false
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(xm) ),
inference(rw,[status(thm)],[6385,89,theory(equality)]) ).
cnf(6392,plain,
( sz00 = xl
| $false
| $false
| ~ aNaturalNumber0(xm) ),
inference(rw,[status(thm)],[6391,46,theory(equality)]) ).
cnf(6393,plain,
( sz00 = xl
| $false
| $false
| $false ),
inference(rw,[status(thm)],[6392,45,theory(equality)]) ).
cnf(6394,plain,
sz00 = xl,
inference(cn,[status(thm)],[6393,theory(equality)]) ).
cnf(6395,plain,
$false,
inference(sr,[status(thm)],[6394,3467,theory(equality)]) ).
cnf(6396,plain,
$false,
6395,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM469+1 : 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 : n138.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 05:17:59 CST 2018
% 0.02/0.23 % CPUTime :
% 0.02/0.27 % SZS status Started for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.02/0.27 --creating new selector for []
% 0.07/0.45 -running prover on /export/starexec/sandbox/tmp/tmpmEc0jp/sel_theBenchmark.p_1 with time limit 29
% 0.07/0.45 -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/tmpmEc0jp/sel_theBenchmark.p_1']
% 0.07/0.45 -prover status Theorem
% 0.07/0.45 Problem theBenchmark.p solved in phase 0.
% 0.07/0.45 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.07/0.45 % SZS status Ended for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.07/0.45 Solved 1 out of 1.
% 0.07/0.45 # Problem is unsatisfiable (or provable), constructing proof object
% 0.07/0.45 # SZS status Theorem
% 0.07/0.45 # SZS output start CNFRefutation.
% See solution above
% 0.07/0.45 # SZS output end CNFRefutation
%------------------------------------------------------------------------------