TSTP Solution File: NUM501+1 by SInE---0.4
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%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : NUM501+1 : TPTP v7.0.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : n083.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 15:21:34 EST 2018
% Result : Theorem 0.45s
% Output : CNFRefutation 0.45s
% Verified :
% SZS Type : Refutation
% Derivation depth : 53
% Number of leaves : 15
% Syntax : Number of formulae : 163 ( 28 unt; 0 def)
% Number of atoms : 686 ( 114 equ)
% Maximal formula atoms : 32 ( 4 avg)
% Number of connectives : 880 ( 357 ~; 431 |; 75 &)
% ( 3 <=>; 14 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 7 con; 0-2 aty)
% Number of variables : 194 ( 0 sgn 90 !; 5 ?)
% Comments :
%------------------------------------------------------------------------------
fof(3,axiom,
( isPrime0(xp)
& doDivides0(xp,sdtasdt0(xn,xm)) ),
file('/export/starexec/sandbox/tmp/tmp7euapM/sel_theBenchmark.p_1',m__1860) ).
fof(4,axiom,
( aNaturalNumber0(xr)
& doDivides0(xr,xk)
& isPrime0(xr) ),
file('/export/starexec/sandbox/tmp/tmp7euapM/sel_theBenchmark.p_1',m__2342) ).
fof(5,axiom,
! [X1,X2,X3] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2)
& aNaturalNumber0(X3) )
=> ( ( doDivides0(X1,X2)
& doDivides0(X2,X3) )
=> doDivides0(X1,X3) ) ),
file('/export/starexec/sandbox/tmp/tmp7euapM/sel_theBenchmark.p_1',mDivTrans) ).
fof(12,axiom,
! [X1,X2] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> ( doDivides0(X1,X2)
<=> ? [X3] :
( aNaturalNumber0(X3)
& equal(X2,sdtasdt0(X1,X3)) ) ) ),
file('/export/starexec/sandbox/tmp/tmp7euapM/sel_theBenchmark.p_1',mDefDiv) ).
fof(20,axiom,
( aNaturalNumber0(xn)
& aNaturalNumber0(xm)
& aNaturalNumber0(xp) ),
file('/export/starexec/sandbox/tmp/tmp7euapM/sel_theBenchmark.p_1',m__1837) ).
fof(28,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/tmp7euapM/sel_theBenchmark.p_1',mDefQuot) ).
fof(31,axiom,
( aNaturalNumber0(sz10)
& ~ equal(sz10,sz00) ),
file('/export/starexec/sandbox/tmp/tmp7euapM/sel_theBenchmark.p_1',mSortsC_01) ).
fof(32,conjecture,
doDivides0(xr,sdtasdt0(xn,xm)),
file('/export/starexec/sandbox/tmp/tmp7euapM/sel_theBenchmark.p_1',m__) ).
fof(33,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/tmp7euapM/sel_theBenchmark.p_1',mMulAsso) ).
fof(37,axiom,
! [X1,X2] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> aNaturalNumber0(sdtasdt0(X1,X2)) ),
file('/export/starexec/sandbox/tmp/tmp7euapM/sel_theBenchmark.p_1',mSortsB_02) ).
fof(38,axiom,
! [X1] :
( aNaturalNumber0(X1)
=> ( isPrime0(X1)
<=> ( ~ equal(X1,sz00)
& ~ equal(X1,sz10)
& ! [X2] :
( ( aNaturalNumber0(X2)
& doDivides0(X2,X1) )
=> ( equal(X2,sz10)
| equal(X2,X1) ) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp7euapM/sel_theBenchmark.p_1',mDefPrime) ).
fof(44,axiom,
equal(xk,sdtsldt0(sdtasdt0(xn,xm),xp)),
file('/export/starexec/sandbox/tmp/tmp7euapM/sel_theBenchmark.p_1',m__2306) ).
fof(45,axiom,
! [X1,X2] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> equal(sdtasdt0(X1,X2),sdtasdt0(X2,X1)) ),
file('/export/starexec/sandbox/tmp/tmp7euapM/sel_theBenchmark.p_1',mMulComm) ).
fof(47,axiom,
! [X1,X2] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> ( ( ~ equal(X1,sz00)
& doDivides0(X1,X2) )
=> ! [X3] :
( aNaturalNumber0(X3)
=> equal(sdtasdt0(X3,sdtsldt0(X2,X1)),sdtsldt0(sdtasdt0(X3,X2),X1)) ) ) ),
file('/export/starexec/sandbox/tmp/tmp7euapM/sel_theBenchmark.p_1',mDivAsso) ).
fof(49,axiom,
! [X1] :
( aNaturalNumber0(X1)
=> ( equal(sdtasdt0(X1,sz10),X1)
& equal(X1,sdtasdt0(sz10,X1)) ) ),
file('/export/starexec/sandbox/tmp/tmp7euapM/sel_theBenchmark.p_1',m_MulUnit) ).
fof(50,negated_conjecture,
~ doDivides0(xr,sdtasdt0(xn,xm)),
inference(assume_negation,[status(cth)],[32]) ).
fof(52,negated_conjecture,
~ doDivides0(xr,sdtasdt0(xn,xm)),
inference(fof_simplification,[status(thm)],[50,theory(equality)]) ).
cnf(62,plain,
doDivides0(xp,sdtasdt0(xn,xm)),
inference(split_conjunct,[status(thm)],[3]) ).
cnf(63,plain,
isPrime0(xp),
inference(split_conjunct,[status(thm)],[3]) ).
cnf(65,plain,
doDivides0(xr,xk),
inference(split_conjunct,[status(thm)],[4]) ).
cnf(66,plain,
aNaturalNumber0(xr),
inference(split_conjunct,[status(thm)],[4]) ).
fof(67,plain,
! [X1,X2,X3] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ~ doDivides0(X1,X2)
| ~ doDivides0(X2,X3)
| doDivides0(X1,X3) ),
inference(fof_nnf,[status(thm)],[5]) ).
fof(68,plain,
! [X4,X5,X6] :
( ~ aNaturalNumber0(X4)
| ~ aNaturalNumber0(X5)
| ~ aNaturalNumber0(X6)
| ~ doDivides0(X4,X5)
| ~ doDivides0(X5,X6)
| doDivides0(X4,X6) ),
inference(variable_rename,[status(thm)],[67]) ).
cnf(69,plain,
( doDivides0(X1,X2)
| ~ doDivides0(X3,X2)
| ~ doDivides0(X1,X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[68]) ).
fof(92,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)],[12]) ).
fof(93,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)],[92]) ).
fof(94,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)],[93]) ).
fof(95,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)],[94]) ).
fof(96,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)],[95]) ).
cnf(99,plain,
( doDivides0(X2,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| X1 != sdtasdt0(X2,X3)
| ~ aNaturalNumber0(X3) ),
inference(split_conjunct,[status(thm)],[96]) ).
cnf(122,plain,
aNaturalNumber0(xp),
inference(split_conjunct,[status(thm)],[20]) ).
cnf(123,plain,
aNaturalNumber0(xm),
inference(split_conjunct,[status(thm)],[20]) ).
cnf(124,plain,
aNaturalNumber0(xn),
inference(split_conjunct,[status(thm)],[20]) ).
fof(160,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)],[28]) ).
fof(161,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)],[160]) ).
fof(162,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)],[161]) ).
fof(163,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)],[162]) ).
cnf(164,plain,
( X2 = sz00
| X3 = sdtsldt0(X1,X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ doDivides0(X2,X1)
| X1 != sdtasdt0(X2,X3)
| ~ aNaturalNumber0(X3) ),
inference(split_conjunct,[status(thm)],[163]) ).
cnf(165,plain,
( X2 = sz00
| X1 = sdtasdt0(X2,X3)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ doDivides0(X2,X1)
| X3 != sdtsldt0(X1,X2) ),
inference(split_conjunct,[status(thm)],[163]) ).
cnf(166,plain,
( X2 = sz00
| aNaturalNumber0(X3)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ doDivides0(X2,X1)
| X3 != sdtsldt0(X1,X2) ),
inference(split_conjunct,[status(thm)],[163]) ).
cnf(175,plain,
sz10 != sz00,
inference(split_conjunct,[status(thm)],[31]) ).
cnf(176,plain,
aNaturalNumber0(sz10),
inference(split_conjunct,[status(thm)],[31]) ).
cnf(177,negated_conjecture,
~ doDivides0(xr,sdtasdt0(xn,xm)),
inference(split_conjunct,[status(thm)],[52]) ).
fof(178,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)],[33]) ).
fof(179,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)],[178]) ).
cnf(180,plain,
( sdtasdt0(sdtasdt0(X1,X2),X3) = sdtasdt0(X1,sdtasdt0(X2,X3))
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[179]) ).
fof(196,plain,
! [X1,X2] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| aNaturalNumber0(sdtasdt0(X1,X2)) ),
inference(fof_nnf,[status(thm)],[37]) ).
fof(197,plain,
! [X3,X4] :
( ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X4)
| aNaturalNumber0(sdtasdt0(X3,X4)) ),
inference(variable_rename,[status(thm)],[196]) ).
cnf(198,plain,
( aNaturalNumber0(sdtasdt0(X1,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[197]) ).
fof(199,plain,
! [X1] :
( ~ aNaturalNumber0(X1)
| ( ( ~ isPrime0(X1)
| ( ~ equal(X1,sz00)
& ~ equal(X1,sz10)
& ! [X2] :
( ~ aNaturalNumber0(X2)
| ~ doDivides0(X2,X1)
| equal(X2,sz10)
| equal(X2,X1) ) ) )
& ( equal(X1,sz00)
| equal(X1,sz10)
| ? [X2] :
( aNaturalNumber0(X2)
& doDivides0(X2,X1)
& ~ equal(X2,sz10)
& ~ equal(X2,X1) )
| isPrime0(X1) ) ) ),
inference(fof_nnf,[status(thm)],[38]) ).
fof(200,plain,
! [X3] :
( ~ aNaturalNumber0(X3)
| ( ( ~ isPrime0(X3)
| ( ~ equal(X3,sz00)
& ~ equal(X3,sz10)
& ! [X4] :
( ~ aNaturalNumber0(X4)
| ~ doDivides0(X4,X3)
| equal(X4,sz10)
| equal(X4,X3) ) ) )
& ( equal(X3,sz00)
| equal(X3,sz10)
| ? [X5] :
( aNaturalNumber0(X5)
& doDivides0(X5,X3)
& ~ equal(X5,sz10)
& ~ equal(X5,X3) )
| isPrime0(X3) ) ) ),
inference(variable_rename,[status(thm)],[199]) ).
fof(201,plain,
! [X3] :
( ~ aNaturalNumber0(X3)
| ( ( ~ isPrime0(X3)
| ( ~ equal(X3,sz00)
& ~ equal(X3,sz10)
& ! [X4] :
( ~ aNaturalNumber0(X4)
| ~ doDivides0(X4,X3)
| equal(X4,sz10)
| equal(X4,X3) ) ) )
& ( equal(X3,sz00)
| equal(X3,sz10)
| ( aNaturalNumber0(esk3_1(X3))
& doDivides0(esk3_1(X3),X3)
& ~ equal(esk3_1(X3),sz10)
& ~ equal(esk3_1(X3),X3) )
| isPrime0(X3) ) ) ),
inference(skolemize,[status(esa)],[200]) ).
fof(202,plain,
! [X3,X4] :
( ( ( ( ( ~ aNaturalNumber0(X4)
| ~ doDivides0(X4,X3)
| equal(X4,sz10)
| equal(X4,X3) )
& ~ equal(X3,sz00)
& ~ equal(X3,sz10) )
| ~ isPrime0(X3) )
& ( equal(X3,sz00)
| equal(X3,sz10)
| ( aNaturalNumber0(esk3_1(X3))
& doDivides0(esk3_1(X3),X3)
& ~ equal(esk3_1(X3),sz10)
& ~ equal(esk3_1(X3),X3) )
| isPrime0(X3) ) )
| ~ aNaturalNumber0(X3) ),
inference(shift_quantors,[status(thm)],[201]) ).
fof(203,plain,
! [X3,X4] :
( ( ~ aNaturalNumber0(X4)
| ~ doDivides0(X4,X3)
| equal(X4,sz10)
| equal(X4,X3)
| ~ isPrime0(X3)
| ~ aNaturalNumber0(X3) )
& ( ~ equal(X3,sz00)
| ~ isPrime0(X3)
| ~ aNaturalNumber0(X3) )
& ( ~ equal(X3,sz10)
| ~ isPrime0(X3)
| ~ aNaturalNumber0(X3) )
& ( aNaturalNumber0(esk3_1(X3))
| equal(X3,sz00)
| equal(X3,sz10)
| isPrime0(X3)
| ~ aNaturalNumber0(X3) )
& ( doDivides0(esk3_1(X3),X3)
| equal(X3,sz00)
| equal(X3,sz10)
| isPrime0(X3)
| ~ aNaturalNumber0(X3) )
& ( ~ equal(esk3_1(X3),sz10)
| equal(X3,sz00)
| equal(X3,sz10)
| isPrime0(X3)
| ~ aNaturalNumber0(X3) )
& ( ~ equal(esk3_1(X3),X3)
| equal(X3,sz00)
| equal(X3,sz10)
| isPrime0(X3)
| ~ aNaturalNumber0(X3) ) ),
inference(distribute,[status(thm)],[202]) ).
cnf(209,plain,
( ~ aNaturalNumber0(X1)
| ~ isPrime0(X1)
| X1 != sz00 ),
inference(split_conjunct,[status(thm)],[203]) ).
cnf(230,plain,
xk = sdtsldt0(sdtasdt0(xn,xm),xp),
inference(split_conjunct,[status(thm)],[44]) ).
fof(231,plain,
! [X1,X2] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| equal(sdtasdt0(X1,X2),sdtasdt0(X2,X1)) ),
inference(fof_nnf,[status(thm)],[45]) ).
fof(232,plain,
! [X3,X4] :
( ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X4)
| equal(sdtasdt0(X3,X4),sdtasdt0(X4,X3)) ),
inference(variable_rename,[status(thm)],[231]) ).
cnf(233,plain,
( sdtasdt0(X1,X2) = sdtasdt0(X2,X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[232]) ).
fof(235,plain,
! [X1,X2] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| equal(X1,sz00)
| ~ doDivides0(X1,X2)
| ! [X3] :
( ~ aNaturalNumber0(X3)
| equal(sdtasdt0(X3,sdtsldt0(X2,X1)),sdtsldt0(sdtasdt0(X3,X2),X1)) ) ),
inference(fof_nnf,[status(thm)],[47]) ).
fof(236,plain,
! [X4,X5] :
( ~ aNaturalNumber0(X4)
| ~ aNaturalNumber0(X5)
| equal(X4,sz00)
| ~ doDivides0(X4,X5)
| ! [X6] :
( ~ aNaturalNumber0(X6)
| equal(sdtasdt0(X6,sdtsldt0(X5,X4)),sdtsldt0(sdtasdt0(X6,X5),X4)) ) ),
inference(variable_rename,[status(thm)],[235]) ).
fof(237,plain,
! [X4,X5,X6] :
( ~ aNaturalNumber0(X6)
| equal(sdtasdt0(X6,sdtsldt0(X5,X4)),sdtsldt0(sdtasdt0(X6,X5),X4))
| equal(X4,sz00)
| ~ doDivides0(X4,X5)
| ~ aNaturalNumber0(X4)
| ~ aNaturalNumber0(X5) ),
inference(shift_quantors,[status(thm)],[236]) ).
cnf(238,plain,
( X2 = sz00
| sdtasdt0(X3,sdtsldt0(X1,X2)) = sdtsldt0(sdtasdt0(X3,X1),X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ doDivides0(X2,X1)
| ~ aNaturalNumber0(X3) ),
inference(split_conjunct,[status(thm)],[237]) ).
fof(244,plain,
! [X1] :
( ~ aNaturalNumber0(X1)
| ( equal(sdtasdt0(X1,sz10),X1)
& equal(X1,sdtasdt0(sz10,X1)) ) ),
inference(fof_nnf,[status(thm)],[49]) ).
fof(245,plain,
! [X2] :
( ~ aNaturalNumber0(X2)
| ( equal(sdtasdt0(X2,sz10),X2)
& equal(X2,sdtasdt0(sz10,X2)) ) ),
inference(variable_rename,[status(thm)],[244]) ).
fof(246,plain,
! [X2] :
( ( equal(sdtasdt0(X2,sz10),X2)
| ~ aNaturalNumber0(X2) )
& ( equal(X2,sdtasdt0(sz10,X2))
| ~ aNaturalNumber0(X2) ) ),
inference(distribute,[status(thm)],[245]) ).
cnf(247,plain,
( X1 = sdtasdt0(sz10,X1)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[246]) ).
cnf(248,plain,
( sdtasdt0(X1,sz10) = X1
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[246]) ).
cnf(250,plain,
( sz00 != xp
| ~ aNaturalNumber0(xp) ),
inference(spm,[status(thm)],[209,63,theory(equality)]) ).
cnf(253,plain,
( sz00 != xp
| $false ),
inference(rw,[status(thm)],[250,122,theory(equality)]) ).
cnf(254,plain,
sz00 != xp,
inference(cn,[status(thm)],[253,theory(equality)]) ).
cnf(384,plain,
( doDivides0(X1,sdtasdt0(X1,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(sdtasdt0(X1,X2)) ),
inference(er,[status(thm)],[99,theory(equality)]) ).
cnf(388,plain,
( doDivides0(sz10,X1)
| X2 != X1
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1) ),
inference(spm,[status(thm)],[99,247,theory(equality)]) ).
cnf(399,plain,
( doDivides0(sz10,X1)
| X2 != X1
| ~ aNaturalNumber0(X2)
| $false
| ~ aNaturalNumber0(X1) ),
inference(rw,[status(thm)],[388,176,theory(equality)]) ).
cnf(400,plain,
( doDivides0(sz10,X1)
| X2 != X1
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(cn,[status(thm)],[399,theory(equality)]) ).
cnf(401,plain,
( doDivides0(sz10,X1)
| ~ aNaturalNumber0(X1) ),
inference(er,[status(thm)],[400,theory(equality)]) ).
cnf(438,plain,
( sdtasdt0(X1,X2) = sdtasdt0(sz10,sdtasdt0(X1,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(sz10) ),
inference(spm,[status(thm)],[180,247,theory(equality)]) ).
cnf(440,plain,
( sdtasdt0(X1,sdtasdt0(X2,X3)) = sdtasdt0(X3,sdtasdt0(X1,X2))
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(sdtasdt0(X1,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(spm,[status(thm)],[233,180,theory(equality)]) ).
cnf(442,plain,
( sdtasdt0(sdtasdt0(X2,X1),X3) = sdtasdt0(X1,sdtasdt0(X2,X3))
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(spm,[status(thm)],[180,233,theory(equality)]) ).
cnf(461,plain,
( sdtasdt0(X1,X2) = sdtasdt0(sz10,sdtasdt0(X1,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| $false ),
inference(rw,[status(thm)],[438,176,theory(equality)]) ).
cnf(462,plain,
( sdtasdt0(X1,X2) = sdtasdt0(sz10,sdtasdt0(X1,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(cn,[status(thm)],[461,theory(equality)]) ).
cnf(591,plain,
( sz00 = X1
| aNaturalNumber0(sdtsldt0(X2,X1))
| ~ doDivides0(X1,X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(er,[status(thm)],[166,theory(equality)]) ).
cnf(622,plain,
( sdtasdt0(X1,sdtsldt0(X2,X1)) = X2
| sz00 = X1
| ~ doDivides0(X1,X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(er,[status(thm)],[165,theory(equality)]) ).
cnf(745,plain,
( sdtsldt0(X1,X2) = X3
| sz00 = X2
| sdtasdt0(X2,X3) != X1
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(csr,[status(thm)],[164,99]) ).
cnf(748,plain,
( sdtsldt0(X1,X2) = sz10
| sz00 = X2
| X2 != X1
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(spm,[status(thm)],[745,248,theory(equality)]) ).
cnf(749,plain,
( sdtsldt0(X1,sz10) = X2
| sz00 = sz10
| X2 != X1
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1) ),
inference(spm,[status(thm)],[745,247,theory(equality)]) ).
cnf(756,plain,
( sdtsldt0(X1,X2) = sz10
| sz00 = X2
| X2 != X1
| $false
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(rw,[status(thm)],[748,176,theory(equality)]) ).
cnf(757,plain,
( sdtsldt0(X1,X2) = sz10
| sz00 = X2
| X2 != X1
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(cn,[status(thm)],[756,theory(equality)]) ).
cnf(758,plain,
( sdtsldt0(X1,X1) = sz10
| sz00 = X1
| ~ aNaturalNumber0(X1) ),
inference(er,[status(thm)],[757,theory(equality)]) ).
cnf(759,plain,
( sdtsldt0(X1,sz10) = X2
| sz00 = sz10
| X2 != X1
| ~ aNaturalNumber0(X2)
| $false
| ~ aNaturalNumber0(X1) ),
inference(rw,[status(thm)],[749,176,theory(equality)]) ).
cnf(760,plain,
( sdtsldt0(X1,sz10) = X2
| sz00 = sz10
| X2 != X1
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(cn,[status(thm)],[759,theory(equality)]) ).
cnf(761,plain,
( sdtsldt0(X1,sz10) = X2
| X2 != X1
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(sr,[status(thm)],[760,175,theory(equality)]) ).
cnf(762,plain,
( sdtsldt0(X1,sz10) = X1
| ~ aNaturalNumber0(X1) ),
inference(er,[status(thm)],[761,theory(equality)]) ).
cnf(965,plain,
( sdtasdt0(X1,X2) = sdtasdt0(X1,sdtsldt0(X2,sz10))
| sz00 = sz10
| ~ doDivides0(sz10,X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(sdtasdt0(X1,X2)) ),
inference(spm,[status(thm)],[238,762,theory(equality)]) ).
cnf(974,plain,
( sdtasdt0(X1,X2) = sdtasdt0(X1,sdtsldt0(X2,sz10))
| sz00 = sz10
| ~ doDivides0(sz10,X2)
| ~ aNaturalNumber0(X1)
| $false
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(sdtasdt0(X1,X2)) ),
inference(rw,[status(thm)],[965,176,theory(equality)]) ).
cnf(975,plain,
( sdtasdt0(X1,X2) = sdtasdt0(X1,sdtsldt0(X2,sz10))
| sz00 = sz10
| ~ doDivides0(sz10,X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(sdtasdt0(X1,X2)) ),
inference(cn,[status(thm)],[974,theory(equality)]) ).
cnf(976,plain,
( sdtasdt0(X1,sdtsldt0(X2,sz10)) = sdtasdt0(X1,X2)
| ~ doDivides0(sz10,X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(sdtasdt0(X1,X2)) ),
inference(sr,[status(thm)],[975,175,theory(equality)]) ).
cnf(1577,plain,
( sdtasdt0(X1,sdtsldt0(X2,sz10)) = sdtasdt0(X1,X2)
| ~ doDivides0(sz10,X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(csr,[status(thm)],[976,198]) ).
cnf(1578,plain,
( sdtasdt0(X1,sdtsldt0(X2,sz10)) = sdtasdt0(X1,X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(csr,[status(thm)],[1577,401]) ).
cnf(1580,plain,
( sdtasdt0(sz10,X1) = sdtsldt0(X1,sz10)
| ~ aNaturalNumber0(sdtsldt0(X1,sz10))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1) ),
inference(spm,[status(thm)],[247,1578,theory(equality)]) ).
cnf(1609,plain,
( sdtasdt0(sz10,X1) = sdtsldt0(X1,sz10)
| ~ aNaturalNumber0(sdtsldt0(X1,sz10))
| $false
| ~ aNaturalNumber0(X1) ),
inference(rw,[status(thm)],[1580,176,theory(equality)]) ).
cnf(1610,plain,
( sdtasdt0(sz10,X1) = sdtsldt0(X1,sz10)
| ~ aNaturalNumber0(sdtsldt0(X1,sz10))
| ~ aNaturalNumber0(X1) ),
inference(cn,[status(thm)],[1609,theory(equality)]) ).
cnf(1875,plain,
( sz10 = sdtasdt0(sz10,sz10)
| sz00 = sz10
| ~ aNaturalNumber0(sz10) ),
inference(spm,[status(thm)],[1610,758,theory(equality)]) ).
cnf(1876,plain,
( sz10 = sdtasdt0(sz10,sz10)
| sz00 = sz10
| $false ),
inference(rw,[status(thm)],[1875,176,theory(equality)]) ).
cnf(1877,plain,
( sz10 = sdtasdt0(sz10,sz10)
| sz00 = sz10 ),
inference(cn,[status(thm)],[1876,theory(equality)]) ).
cnf(1878,plain,
sdtasdt0(sz10,sz10) = sz10,
inference(sr,[status(thm)],[1877,175,theory(equality)]) ).
cnf(3227,plain,
( doDivides0(X1,sdtasdt0(X1,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(csr,[status(thm)],[384,198]) ).
cnf(5657,plain,
( sdtasdt0(X1,sdtasdt0(X2,X3)) = sdtasdt0(X3,sdtasdt0(X1,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X3) ),
inference(csr,[status(thm)],[440,198]) ).
cnf(5659,plain,
( sdtasdt0(sz10,sdtasdt0(sz10,X1)) = sdtasdt0(X1,sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(sz10) ),
inference(spm,[status(thm)],[5657,1878,theory(equality)]) ).
cnf(5845,plain,
( sdtasdt0(sz10,sdtasdt0(sz10,X1)) = sdtasdt0(X1,sz10)
| ~ aNaturalNumber0(X1)
| $false ),
inference(rw,[status(thm)],[5659,176,theory(equality)]) ).
cnf(5846,plain,
( sdtasdt0(sz10,sdtasdt0(sz10,X1)) = sdtasdt0(X1,sz10)
| ~ aNaturalNumber0(X1) ),
inference(cn,[status(thm)],[5845,theory(equality)]) ).
cnf(15491,plain,
( sz00 = xp
| aNaturalNumber0(xk)
| ~ doDivides0(xp,sdtasdt0(xn,xm))
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtasdt0(xn,xm)) ),
inference(spm,[status(thm)],[591,230,theory(equality)]) ).
cnf(15513,plain,
( sz00 = xp
| aNaturalNumber0(xk)
| $false
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtasdt0(xn,xm)) ),
inference(rw,[status(thm)],[15491,62,theory(equality)]) ).
cnf(15514,plain,
( sz00 = xp
| aNaturalNumber0(xk)
| $false
| $false
| ~ aNaturalNumber0(sdtasdt0(xn,xm)) ),
inference(rw,[status(thm)],[15513,122,theory(equality)]) ).
cnf(15515,plain,
( sz00 = xp
| aNaturalNumber0(xk)
| ~ aNaturalNumber0(sdtasdt0(xn,xm)) ),
inference(cn,[status(thm)],[15514,theory(equality)]) ).
cnf(15516,plain,
( aNaturalNumber0(xk)
| ~ aNaturalNumber0(sdtasdt0(xn,xm)) ),
inference(sr,[status(thm)],[15515,254,theory(equality)]) ).
cnf(15706,plain,
( aNaturalNumber0(xk)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xn) ),
inference(spm,[status(thm)],[15516,198,theory(equality)]) ).
cnf(15708,plain,
( aNaturalNumber0(xk)
| $false
| ~ aNaturalNumber0(xn) ),
inference(rw,[status(thm)],[15706,123,theory(equality)]) ).
cnf(15709,plain,
( aNaturalNumber0(xk)
| $false
| $false ),
inference(rw,[status(thm)],[15708,124,theory(equality)]) ).
cnf(15710,plain,
aNaturalNumber0(xk),
inference(cn,[status(thm)],[15709,theory(equality)]) ).
cnf(17081,plain,
( sdtasdt0(xp,xk) = sdtasdt0(xn,xm)
| sz00 = xp
| ~ doDivides0(xp,sdtasdt0(xn,xm))
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtasdt0(xn,xm)) ),
inference(spm,[status(thm)],[622,230,theory(equality)]) ).
cnf(17178,plain,
( sdtasdt0(xp,xk) = sdtasdt0(xn,xm)
| sz00 = xp
| $false
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtasdt0(xn,xm)) ),
inference(rw,[status(thm)],[17081,62,theory(equality)]) ).
cnf(17179,plain,
( sdtasdt0(xp,xk) = sdtasdt0(xn,xm)
| sz00 = xp
| $false
| $false
| ~ aNaturalNumber0(sdtasdt0(xn,xm)) ),
inference(rw,[status(thm)],[17178,122,theory(equality)]) ).
cnf(17180,plain,
( sdtasdt0(xp,xk) = sdtasdt0(xn,xm)
| sz00 = xp
| ~ aNaturalNumber0(sdtasdt0(xn,xm)) ),
inference(cn,[status(thm)],[17179,theory(equality)]) ).
cnf(17181,plain,
( sdtasdt0(xn,xm) = sdtasdt0(xp,xk)
| ~ aNaturalNumber0(sdtasdt0(xn,xm)) ),
inference(sr,[status(thm)],[17180,254,theory(equality)]) ).
cnf(17296,plain,
( sdtasdt0(xn,xm) = sdtasdt0(xp,xk)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xn) ),
inference(spm,[status(thm)],[17181,198,theory(equality)]) ).
cnf(17298,plain,
( sdtasdt0(xn,xm) = sdtasdt0(xp,xk)
| $false
| ~ aNaturalNumber0(xn) ),
inference(rw,[status(thm)],[17296,123,theory(equality)]) ).
cnf(17299,plain,
( sdtasdt0(xn,xm) = sdtasdt0(xp,xk)
| $false
| $false ),
inference(rw,[status(thm)],[17298,124,theory(equality)]) ).
cnf(17300,plain,
sdtasdt0(xn,xm) = sdtasdt0(xp,xk),
inference(cn,[status(thm)],[17299,theory(equality)]) ).
cnf(17301,plain,
( aNaturalNumber0(sdtasdt0(xp,xk))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xn) ),
inference(spm,[status(thm)],[198,17300,theory(equality)]) ).
cnf(17327,plain,
( sdtasdt0(sz10,sdtasdt0(xp,xk)) = sdtasdt0(xp,xk)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xn) ),
inference(spm,[status(thm)],[462,17300,theory(equality)]) ).
cnf(17353,negated_conjecture,
~ doDivides0(xr,sdtasdt0(xp,xk)),
inference(rw,[status(thm)],[177,17300,theory(equality)]) ).
cnf(17379,plain,
( aNaturalNumber0(sdtasdt0(xp,xk))
| $false
| ~ aNaturalNumber0(xn) ),
inference(rw,[status(thm)],[17301,123,theory(equality)]) ).
cnf(17380,plain,
( aNaturalNumber0(sdtasdt0(xp,xk))
| $false
| $false ),
inference(rw,[status(thm)],[17379,124,theory(equality)]) ).
cnf(17381,plain,
aNaturalNumber0(sdtasdt0(xp,xk)),
inference(cn,[status(thm)],[17380,theory(equality)]) ).
cnf(17457,plain,
( sdtasdt0(sz10,sdtasdt0(xp,xk)) = sdtasdt0(xp,xk)
| $false
| ~ aNaturalNumber0(xn) ),
inference(rw,[status(thm)],[17327,123,theory(equality)]) ).
cnf(17458,plain,
( sdtasdt0(sz10,sdtasdt0(xp,xk)) = sdtasdt0(xp,xk)
| $false
| $false ),
inference(rw,[status(thm)],[17457,124,theory(equality)]) ).
cnf(17459,plain,
sdtasdt0(sz10,sdtasdt0(xp,xk)) = sdtasdt0(xp,xk),
inference(cn,[status(thm)],[17458,theory(equality)]) ).
cnf(20022,plain,
( sdtasdt0(sz10,sdtasdt0(xp,xk)) = sdtasdt0(sdtasdt0(xp,xk),sz10)
| ~ aNaturalNumber0(sdtasdt0(xp,xk)) ),
inference(spm,[status(thm)],[5846,17459,theory(equality)]) ).
cnf(20222,plain,
( sdtasdt0(xp,xk) = sdtasdt0(sdtasdt0(xp,xk),sz10)
| ~ aNaturalNumber0(sdtasdt0(xp,xk)) ),
inference(rw,[status(thm)],[20022,17459,theory(equality)]) ).
cnf(20223,plain,
( sdtasdt0(xp,xk) = sdtasdt0(sdtasdt0(xp,xk),sz10)
| $false ),
inference(rw,[status(thm)],[20222,17381,theory(equality)]) ).
cnf(20224,plain,
sdtasdt0(xp,xk) = sdtasdt0(sdtasdt0(xp,xk),sz10),
inference(cn,[status(thm)],[20223,theory(equality)]) ).
cnf(20518,plain,
( sdtasdt0(xp,xk) = sdtasdt0(xk,sdtasdt0(xp,sz10))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xk) ),
inference(spm,[status(thm)],[442,20224,theory(equality)]) ).
cnf(20689,plain,
( sdtasdt0(xp,xk) = sdtasdt0(xk,sdtasdt0(xp,sz10))
| $false
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xk) ),
inference(rw,[status(thm)],[20518,176,theory(equality)]) ).
cnf(20690,plain,
( sdtasdt0(xp,xk) = sdtasdt0(xk,sdtasdt0(xp,sz10))
| $false
| $false
| ~ aNaturalNumber0(xk) ),
inference(rw,[status(thm)],[20689,122,theory(equality)]) ).
cnf(20691,plain,
( sdtasdt0(xp,xk) = sdtasdt0(xk,sdtasdt0(xp,sz10))
| $false
| $false
| $false ),
inference(rw,[status(thm)],[20690,15710,theory(equality)]) ).
cnf(20692,plain,
sdtasdt0(xp,xk) = sdtasdt0(xk,sdtasdt0(xp,sz10)),
inference(cn,[status(thm)],[20691,theory(equality)]) ).
cnf(21063,plain,
( sdtasdt0(xk,xp) = sdtasdt0(xp,xk)
| ~ aNaturalNumber0(xp) ),
inference(spm,[status(thm)],[20692,248,theory(equality)]) ).
cnf(21123,plain,
( sdtasdt0(xk,xp) = sdtasdt0(xp,xk)
| $false ),
inference(rw,[status(thm)],[21063,122,theory(equality)]) ).
cnf(21124,plain,
sdtasdt0(xk,xp) = sdtasdt0(xp,xk),
inference(cn,[status(thm)],[21123,theory(equality)]) ).
cnf(21303,plain,
( doDivides0(xk,sdtasdt0(xp,xk))
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xk) ),
inference(spm,[status(thm)],[3227,21124,theory(equality)]) ).
cnf(21402,plain,
( doDivides0(xk,sdtasdt0(xp,xk))
| $false
| ~ aNaturalNumber0(xk) ),
inference(rw,[status(thm)],[21303,122,theory(equality)]) ).
cnf(21403,plain,
( doDivides0(xk,sdtasdt0(xp,xk))
| $false
| $false ),
inference(rw,[status(thm)],[21402,15710,theory(equality)]) ).
cnf(21404,plain,
doDivides0(xk,sdtasdt0(xp,xk)),
inference(cn,[status(thm)],[21403,theory(equality)]) ).
cnf(21495,plain,
( doDivides0(X1,sdtasdt0(xp,xk))
| ~ doDivides0(X1,xk)
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(sdtasdt0(xp,xk))
| ~ aNaturalNumber0(X1) ),
inference(spm,[status(thm)],[69,21404,theory(equality)]) ).
cnf(21503,plain,
( doDivides0(X1,sdtasdt0(xp,xk))
| ~ doDivides0(X1,xk)
| $false
| ~ aNaturalNumber0(sdtasdt0(xp,xk))
| ~ aNaturalNumber0(X1) ),
inference(rw,[status(thm)],[21495,15710,theory(equality)]) ).
cnf(21504,plain,
( doDivides0(X1,sdtasdt0(xp,xk))
| ~ doDivides0(X1,xk)
| $false
| $false
| ~ aNaturalNumber0(X1) ),
inference(rw,[status(thm)],[21503,17381,theory(equality)]) ).
cnf(21505,plain,
( doDivides0(X1,sdtasdt0(xp,xk))
| ~ doDivides0(X1,xk)
| ~ aNaturalNumber0(X1) ),
inference(cn,[status(thm)],[21504,theory(equality)]) ).
cnf(29510,plain,
( ~ doDivides0(xr,xk)
| ~ aNaturalNumber0(xr) ),
inference(spm,[status(thm)],[17353,21505,theory(equality)]) ).
cnf(29519,plain,
( $false
| ~ aNaturalNumber0(xr) ),
inference(rw,[status(thm)],[29510,65,theory(equality)]) ).
cnf(29520,plain,
( $false
| $false ),
inference(rw,[status(thm)],[29519,66,theory(equality)]) ).
cnf(29521,plain,
$false,
inference(cn,[status(thm)],[29520,theory(equality)]) ).
cnf(29522,plain,
$false,
29521,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM501+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 : n083.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 06:07:30 CST 2018
% 0.02/0.23 % CPUTime :
% 0.07/0.28 % SZS status Started for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.07/0.28 --creating new selector for []
% 0.45/0.81 -running prover on /export/starexec/sandbox/tmp/tmp7euapM/sel_theBenchmark.p_1 with time limit 29
% 0.45/0.81 -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/tmp7euapM/sel_theBenchmark.p_1']
% 0.45/0.81 -prover status Theorem
% 0.45/0.81 Problem theBenchmark.p solved in phase 0.
% 0.45/0.81 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.45/0.81 % SZS status Ended for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.45/0.81 Solved 1 out of 1.
% 0.45/0.81 # Problem is unsatisfiable (or provable), constructing proof object
% 0.45/0.81 # SZS status Theorem
% 0.45/0.81 # SZS output start CNFRefutation.
% See solution above
% 0.45/0.81 # SZS output end CNFRefutation
%------------------------------------------------------------------------------