TSTP Solution File: NUM527+1 by SInE---0.4
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- Process Solution
%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : NUM527+1 : TPTP v7.0.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : n097.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 15:21:40 EST 2018
% Result : Theorem 78.69s
% Output : CNFRefutation 78.69s
% Verified :
% SZS Type : Refutation
% Derivation depth : 57
% Number of leaves : 29
% Syntax : Number of formulae : 728 ( 88 unt; 0 def)
% Number of atoms : 2957 ( 972 equ)
% Maximal formula atoms : 32 ( 4 avg)
% Number of connectives : 3640 (1411 ~;2045 |; 144 &)
% ( 4 <=>; 36 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 6 con; 0-2 aty)
% Number of variables : 628 ( 8 sgn 186 !; 11 ?)
% Comments :
%------------------------------------------------------------------------------
fof(1,axiom,
! [X1] :
( aNaturalNumber0(X1)
=> ( equal(sdtasdt0(X1,sz00),sz00)
& equal(sz00,sdtasdt0(sz00,X1)) ) ),
file('/export/starexec/sandbox/tmp/tmpEKeo7b/sel_theBenchmark.p_2',m_MulZero) ).
fof(2,axiom,
! [X1,X2,X3] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2)
& aNaturalNumber0(X3) )
=> ( ( doDivides0(X1,X2)
& doDivides0(X2,X3) )
=> doDivides0(X1,X3) ) ),
file('/export/starexec/sandbox/tmp/tmpEKeo7b/sel_theBenchmark.p_2',mDivTrans) ).
fof(5,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/tmpEKeo7b/sel_theBenchmark.p_2',mMulCanc) ).
fof(9,axiom,
! [X1,X2] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> ( doDivides0(X1,X2)
<=> ? [X3] :
( aNaturalNumber0(X3)
& equal(X2,sdtasdt0(X1,X3)) ) ) ),
file('/export/starexec/sandbox/tmp/tmpEKeo7b/sel_theBenchmark.p_2',mDefDiv) ).
fof(11,axiom,
! [X1,X2] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> ( sdtlseqdt0(X1,X2)
| ( ~ equal(X2,X1)
& sdtlseqdt0(X2,X1) ) ) ),
file('/export/starexec/sandbox/tmp/tmpEKeo7b/sel_theBenchmark.p_2',mLETotal) ).
fof(12,axiom,
! [X1,X2,X3] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2)
& aNaturalNumber0(X3) )
=> ( ( sdtlseqdt0(X1,X2)
& sdtlseqdt0(X2,X3) )
=> sdtlseqdt0(X1,X3) ) ),
file('/export/starexec/sandbox/tmp/tmpEKeo7b/sel_theBenchmark.p_2',mLETran) ).
fof(14,axiom,
equal(sdtasdt0(xp,sdtasdt0(xm,xm)),sdtasdt0(xn,xn)),
file('/export/starexec/sandbox/tmp/tmpEKeo7b/sel_theBenchmark.p_2',m__3014) ).
fof(15,axiom,
! [X1,X2] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> ( ( doDivides0(X1,X2)
& ~ equal(X2,sz00) )
=> sdtlseqdt0(X1,X2) ) ),
file('/export/starexec/sandbox/tmp/tmpEKeo7b/sel_theBenchmark.p_2',mDivLE) ).
fof(18,axiom,
equal(xq,sdtsldt0(xn,xp)),
file('/export/starexec/sandbox/tmp/tmpEKeo7b/sel_theBenchmark.p_2',m__3059) ).
fof(20,axiom,
! [X1,X2,X3] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2)
& aNaturalNumber0(X3) )
=> ( ( ~ equal(X1,sz00)
& ~ equal(X2,X3)
& sdtlseqdt0(X2,X3) )
=> ( ~ equal(sdtasdt0(X1,X2),sdtasdt0(X1,X3))
& sdtlseqdt0(sdtasdt0(X1,X2),sdtasdt0(X1,X3))
& ~ equal(sdtasdt0(X2,X1),sdtasdt0(X3,X1))
& sdtlseqdt0(sdtasdt0(X2,X1),sdtasdt0(X3,X1)) ) ) ),
file('/export/starexec/sandbox/tmp/tmpEKeo7b/sel_theBenchmark.p_2',mMonMul) ).
fof(21,axiom,
! [X1,X2] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> ( sdtlseqdt0(X1,X2)
<=> ? [X3] :
( aNaturalNumber0(X3)
& equal(sdtpldt0(X1,X3),X2) ) ) ),
file('/export/starexec/sandbox/tmp/tmpEKeo7b/sel_theBenchmark.p_2',mDefLE) ).
fof(23,axiom,
! [X1,X2] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> ( ( sdtlseqdt0(X1,X2)
& sdtlseqdt0(X2,X1) )
=> equal(X1,X2) ) ),
file('/export/starexec/sandbox/tmp/tmpEKeo7b/sel_theBenchmark.p_2',mLEAsym) ).
fof(24,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/tmpEKeo7b/sel_theBenchmark.p_2',mDefQuot) ).
fof(26,axiom,
! [X1,X2] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> ( ~ equal(X1,sz00)
=> sdtlseqdt0(X2,sdtasdt0(X2,X1)) ) ),
file('/export/starexec/sandbox/tmp/tmpEKeo7b/sel_theBenchmark.p_2',mMonMul2) ).
fof(27,axiom,
( aNaturalNumber0(sz10)
& ~ equal(sz10,sz00) ),
file('/export/starexec/sandbox/tmp/tmpEKeo7b/sel_theBenchmark.p_2',mSortsC_01) ).
fof(28,conjecture,
( sdtlseqdt0(xn,xm)
=> sdtlseqdt0(sdtasdt0(xn,xn),sdtasdt0(xm,xm)) ),
file('/export/starexec/sandbox/tmp/tmpEKeo7b/sel_theBenchmark.p_2',m__) ).
fof(29,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/tmpEKeo7b/sel_theBenchmark.p_2',mMulAsso) ).
fof(30,axiom,
! [X1,X2] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> ( equal(sdtpldt0(X1,X2),sz00)
=> ( equal(X1,sz00)
& equal(X2,sz00) ) ) ),
file('/export/starexec/sandbox/tmp/tmpEKeo7b/sel_theBenchmark.p_2',mZeroAdd) ).
fof(33,axiom,
! [X1,X2] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> aNaturalNumber0(sdtasdt0(X1,X2)) ),
file('/export/starexec/sandbox/tmp/tmpEKeo7b/sel_theBenchmark.p_2',mSortsB_02) ).
fof(34,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/tmpEKeo7b/sel_theBenchmark.p_2',mDefPrime) ).
fof(35,axiom,
equal(sdtasdt0(xm,xm),sdtasdt0(xp,sdtasdt0(xq,xq))),
file('/export/starexec/sandbox/tmp/tmpEKeo7b/sel_theBenchmark.p_2',m__3082) ).
fof(36,axiom,
aNaturalNumber0(sz00),
file('/export/starexec/sandbox/tmp/tmpEKeo7b/sel_theBenchmark.p_2',mSortsC) ).
fof(38,axiom,
! [X1] :
( ( aNaturalNumber0(X1)
& ~ equal(X1,sz00)
& ~ equal(X1,sz10) )
=> ? [X2] :
( aNaturalNumber0(X2)
& doDivides0(X2,X1)
& isPrime0(X2) ) ),
file('/export/starexec/sandbox/tmp/tmpEKeo7b/sel_theBenchmark.p_2',mPrimDiv) ).
fof(41,axiom,
! [X1,X2] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> equal(sdtasdt0(X1,X2),sdtasdt0(X2,X1)) ),
file('/export/starexec/sandbox/tmp/tmpEKeo7b/sel_theBenchmark.p_2',mMulComm) ).
fof(42,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/tmpEKeo7b/sel_theBenchmark.p_2',mDivAsso) ).
fof(43,axiom,
( aNaturalNumber0(xn)
& aNaturalNumber0(xm)
& aNaturalNumber0(xp)
& ~ equal(xn,sz00)
& ~ equal(xm,sz00)
& ~ equal(xp,sz00) ),
file('/export/starexec/sandbox/tmp/tmpEKeo7b/sel_theBenchmark.p_2',m__2987) ).
fof(45,axiom,
( doDivides0(xp,sdtasdt0(xn,xn))
& doDivides0(xp,xn) ),
file('/export/starexec/sandbox/tmp/tmpEKeo7b/sel_theBenchmark.p_2',m__3046) ).
fof(46,axiom,
! [X1] :
( aNaturalNumber0(X1)
=> ( equal(sdtasdt0(X1,sz10),X1)
& equal(X1,sdtasdt0(sz10,X1)) ) ),
file('/export/starexec/sandbox/tmp/tmpEKeo7b/sel_theBenchmark.p_2',m_MulUnit) ).
fof(47,axiom,
isPrime0(xp),
file('/export/starexec/sandbox/tmp/tmpEKeo7b/sel_theBenchmark.p_2',m__3025) ).
fof(48,negated_conjecture,
~ ( sdtlseqdt0(xn,xm)
=> sdtlseqdt0(sdtasdt0(xn,xn),sdtasdt0(xm,xm)) ),
inference(assume_negation,[status(cth)],[28]) ).
fof(50,plain,
! [X1] :
( ~ aNaturalNumber0(X1)
| ( equal(sdtasdt0(X1,sz00),sz00)
& equal(sz00,sdtasdt0(sz00,X1)) ) ),
inference(fof_nnf,[status(thm)],[1]) ).
fof(51,plain,
! [X2] :
( ~ aNaturalNumber0(X2)
| ( equal(sdtasdt0(X2,sz00),sz00)
& equal(sz00,sdtasdt0(sz00,X2)) ) ),
inference(variable_rename,[status(thm)],[50]) ).
fof(52,plain,
! [X2] :
( ( equal(sdtasdt0(X2,sz00),sz00)
| ~ aNaturalNumber0(X2) )
& ( equal(sz00,sdtasdt0(sz00,X2))
| ~ aNaturalNumber0(X2) ) ),
inference(distribute,[status(thm)],[51]) ).
cnf(53,plain,
( sz00 = sdtasdt0(sz00,X1)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[52]) ).
cnf(54,plain,
( sdtasdt0(X1,sz00) = sz00
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[52]) ).
fof(55,plain,
! [X1,X2,X3] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ~ doDivides0(X1,X2)
| ~ doDivides0(X2,X3)
| doDivides0(X1,X3) ),
inference(fof_nnf,[status(thm)],[2]) ).
fof(56,plain,
! [X4,X5,X6] :
( ~ aNaturalNumber0(X4)
| ~ aNaturalNumber0(X5)
| ~ aNaturalNumber0(X6)
| ~ doDivides0(X4,X5)
| ~ doDivides0(X5,X6)
| doDivides0(X4,X6) ),
inference(variable_rename,[status(thm)],[55]) ).
cnf(57,plain,
( doDivides0(X1,X2)
| ~ doDivides0(X3,X2)
| ~ doDivides0(X1,X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[56]) ).
fof(64,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)],[5]) ).
fof(65,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)],[64]) ).
fof(66,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)],[65]) ).
fof(67,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)],[66]) ).
cnf(68,plain,
( X1 = sz00
| X3 = X2
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| sdtasdt0(X3,X1) != sdtasdt0(X2,X1) ),
inference(split_conjunct,[status(thm)],[67]) ).
cnf(69,plain,
( X1 = sz00
| X3 = X2
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| sdtasdt0(X1,X3) != sdtasdt0(X1,X2) ),
inference(split_conjunct,[status(thm)],[67]) ).
fof(81,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)],[9]) ).
fof(82,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)],[81]) ).
fof(83,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)],[82]) ).
fof(84,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)],[83]) ).
fof(85,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)],[84]) ).
cnf(88,plain,
( doDivides0(X2,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| X1 != sdtasdt0(X2,X3)
| ~ aNaturalNumber0(X3) ),
inference(split_conjunct,[status(thm)],[85]) ).
fof(92,plain,
! [X1,X2] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| sdtlseqdt0(X1,X2)
| ( ~ equal(X2,X1)
& sdtlseqdt0(X2,X1) ) ),
inference(fof_nnf,[status(thm)],[11]) ).
fof(93,plain,
! [X3,X4] :
( ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X4)
| sdtlseqdt0(X3,X4)
| ( ~ equal(X4,X3)
& sdtlseqdt0(X4,X3) ) ),
inference(variable_rename,[status(thm)],[92]) ).
fof(94,plain,
! [X3,X4] :
( ( ~ equal(X4,X3)
| sdtlseqdt0(X3,X4)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X4) )
& ( sdtlseqdt0(X4,X3)
| sdtlseqdt0(X3,X4)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X4) ) ),
inference(distribute,[status(thm)],[93]) ).
cnf(95,plain,
( sdtlseqdt0(X2,X1)
| sdtlseqdt0(X1,X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(split_conjunct,[status(thm)],[94]) ).
fof(97,plain,
! [X1,X2,X3] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ~ sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X2,X3)
| sdtlseqdt0(X1,X3) ),
inference(fof_nnf,[status(thm)],[12]) ).
fof(98,plain,
! [X4,X5,X6] :
( ~ aNaturalNumber0(X4)
| ~ aNaturalNumber0(X5)
| ~ aNaturalNumber0(X6)
| ~ sdtlseqdt0(X4,X5)
| ~ sdtlseqdt0(X5,X6)
| sdtlseqdt0(X4,X6) ),
inference(variable_rename,[status(thm)],[97]) ).
cnf(99,plain,
( sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X3,X2)
| ~ sdtlseqdt0(X1,X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[98]) ).
cnf(103,plain,
sdtasdt0(xp,sdtasdt0(xm,xm)) = sdtasdt0(xn,xn),
inference(split_conjunct,[status(thm)],[14]) ).
fof(104,plain,
! [X1,X2] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ doDivides0(X1,X2)
| equal(X2,sz00)
| sdtlseqdt0(X1,X2) ),
inference(fof_nnf,[status(thm)],[15]) ).
fof(105,plain,
! [X3,X4] :
( ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X4)
| ~ doDivides0(X3,X4)
| equal(X4,sz00)
| sdtlseqdt0(X3,X4) ),
inference(variable_rename,[status(thm)],[104]) ).
cnf(106,plain,
( sdtlseqdt0(X1,X2)
| X2 = sz00
| ~ doDivides0(X1,X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[105]) ).
cnf(118,plain,
xq = sdtsldt0(xn,xp),
inference(split_conjunct,[status(thm)],[18]) ).
fof(122,plain,
! [X1,X2,X3] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| equal(X1,sz00)
| equal(X2,X3)
| ~ sdtlseqdt0(X2,X3)
| ( ~ equal(sdtasdt0(X1,X2),sdtasdt0(X1,X3))
& sdtlseqdt0(sdtasdt0(X1,X2),sdtasdt0(X1,X3))
& ~ equal(sdtasdt0(X2,X1),sdtasdt0(X3,X1))
& sdtlseqdt0(sdtasdt0(X2,X1),sdtasdt0(X3,X1)) ) ),
inference(fof_nnf,[status(thm)],[20]) ).
fof(123,plain,
! [X4,X5,X6] :
( ~ aNaturalNumber0(X4)
| ~ aNaturalNumber0(X5)
| ~ aNaturalNumber0(X6)
| equal(X4,sz00)
| equal(X5,X6)
| ~ sdtlseqdt0(X5,X6)
| ( ~ equal(sdtasdt0(X4,X5),sdtasdt0(X4,X6))
& sdtlseqdt0(sdtasdt0(X4,X5),sdtasdt0(X4,X6))
& ~ equal(sdtasdt0(X5,X4),sdtasdt0(X6,X4))
& sdtlseqdt0(sdtasdt0(X5,X4),sdtasdt0(X6,X4)) ) ),
inference(variable_rename,[status(thm)],[122]) ).
fof(124,plain,
! [X4,X5,X6] :
( ( ~ equal(sdtasdt0(X4,X5),sdtasdt0(X4,X6))
| equal(X4,sz00)
| equal(X5,X6)
| ~ sdtlseqdt0(X5,X6)
| ~ aNaturalNumber0(X4)
| ~ aNaturalNumber0(X5)
| ~ aNaturalNumber0(X6) )
& ( sdtlseqdt0(sdtasdt0(X4,X5),sdtasdt0(X4,X6))
| equal(X4,sz00)
| equal(X5,X6)
| ~ sdtlseqdt0(X5,X6)
| ~ aNaturalNumber0(X4)
| ~ aNaturalNumber0(X5)
| ~ aNaturalNumber0(X6) )
& ( ~ equal(sdtasdt0(X5,X4),sdtasdt0(X6,X4))
| equal(X4,sz00)
| equal(X5,X6)
| ~ sdtlseqdt0(X5,X6)
| ~ aNaturalNumber0(X4)
| ~ aNaturalNumber0(X5)
| ~ aNaturalNumber0(X6) )
& ( sdtlseqdt0(sdtasdt0(X5,X4),sdtasdt0(X6,X4))
| equal(X4,sz00)
| equal(X5,X6)
| ~ sdtlseqdt0(X5,X6)
| ~ aNaturalNumber0(X4)
| ~ aNaturalNumber0(X5)
| ~ aNaturalNumber0(X6) ) ),
inference(distribute,[status(thm)],[123]) ).
cnf(125,plain,
( X2 = X1
| X3 = sz00
| sdtlseqdt0(sdtasdt0(X2,X3),sdtasdt0(X1,X3))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ~ sdtlseqdt0(X2,X1) ),
inference(split_conjunct,[status(thm)],[124]) ).
cnf(127,plain,
( X2 = X1
| X3 = sz00
| sdtlseqdt0(sdtasdt0(X3,X2),sdtasdt0(X3,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ~ sdtlseqdt0(X2,X1) ),
inference(split_conjunct,[status(thm)],[124]) ).
fof(129,plain,
! [X1,X2] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ( ( ~ sdtlseqdt0(X1,X2)
| ? [X3] :
( aNaturalNumber0(X3)
& equal(sdtpldt0(X1,X3),X2) ) )
& ( ! [X3] :
( ~ aNaturalNumber0(X3)
| ~ equal(sdtpldt0(X1,X3),X2) )
| sdtlseqdt0(X1,X2) ) ) ),
inference(fof_nnf,[status(thm)],[21]) ).
fof(130,plain,
! [X4,X5] :
( ~ aNaturalNumber0(X4)
| ~ aNaturalNumber0(X5)
| ( ( ~ sdtlseqdt0(X4,X5)
| ? [X6] :
( aNaturalNumber0(X6)
& equal(sdtpldt0(X4,X6),X5) ) )
& ( ! [X7] :
( ~ aNaturalNumber0(X7)
| ~ equal(sdtpldt0(X4,X7),X5) )
| sdtlseqdt0(X4,X5) ) ) ),
inference(variable_rename,[status(thm)],[129]) ).
fof(131,plain,
! [X4,X5] :
( ~ aNaturalNumber0(X4)
| ~ aNaturalNumber0(X5)
| ( ( ~ sdtlseqdt0(X4,X5)
| ( aNaturalNumber0(esk2_2(X4,X5))
& equal(sdtpldt0(X4,esk2_2(X4,X5)),X5) ) )
& ( ! [X7] :
( ~ aNaturalNumber0(X7)
| ~ equal(sdtpldt0(X4,X7),X5) )
| sdtlseqdt0(X4,X5) ) ) ),
inference(skolemize,[status(esa)],[130]) ).
fof(132,plain,
! [X4,X5,X7] :
( ( ( ~ aNaturalNumber0(X7)
| ~ equal(sdtpldt0(X4,X7),X5)
| sdtlseqdt0(X4,X5) )
& ( ~ sdtlseqdt0(X4,X5)
| ( aNaturalNumber0(esk2_2(X4,X5))
& equal(sdtpldt0(X4,esk2_2(X4,X5)),X5) ) ) )
| ~ aNaturalNumber0(X4)
| ~ aNaturalNumber0(X5) ),
inference(shift_quantors,[status(thm)],[131]) ).
fof(133,plain,
! [X4,X5,X7] :
( ( ~ aNaturalNumber0(X7)
| ~ equal(sdtpldt0(X4,X7),X5)
| sdtlseqdt0(X4,X5)
| ~ aNaturalNumber0(X4)
| ~ aNaturalNumber0(X5) )
& ( aNaturalNumber0(esk2_2(X4,X5))
| ~ sdtlseqdt0(X4,X5)
| ~ aNaturalNumber0(X4)
| ~ aNaturalNumber0(X5) )
& ( equal(sdtpldt0(X4,esk2_2(X4,X5)),X5)
| ~ sdtlseqdt0(X4,X5)
| ~ aNaturalNumber0(X4)
| ~ aNaturalNumber0(X5) ) ),
inference(distribute,[status(thm)],[132]) ).
cnf(134,plain,
( sdtpldt0(X2,esk2_2(X2,X1)) = X1
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ sdtlseqdt0(X2,X1) ),
inference(split_conjunct,[status(thm)],[133]) ).
cnf(135,plain,
( aNaturalNumber0(esk2_2(X2,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ sdtlseqdt0(X2,X1) ),
inference(split_conjunct,[status(thm)],[133]) ).
fof(140,plain,
! [X1,X2] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X2,X1)
| equal(X1,X2) ),
inference(fof_nnf,[status(thm)],[23]) ).
fof(141,plain,
! [X3,X4] :
( ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X4)
| ~ sdtlseqdt0(X3,X4)
| ~ sdtlseqdt0(X4,X3)
| equal(X3,X4) ),
inference(variable_rename,[status(thm)],[140]) ).
cnf(142,plain,
( X1 = X2
| ~ sdtlseqdt0(X2,X1)
| ~ sdtlseqdt0(X1,X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[141]) ).
fof(143,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)],[24]) ).
fof(144,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)],[143]) ).
fof(145,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)],[144]) ).
fof(146,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)],[145]) ).
cnf(147,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)],[146]) ).
cnf(148,plain,
( X2 = sz00
| X1 = sdtasdt0(X2,X3)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ doDivides0(X2,X1)
| X3 != sdtsldt0(X1,X2) ),
inference(split_conjunct,[status(thm)],[146]) ).
cnf(149,plain,
( X2 = sz00
| aNaturalNumber0(X3)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ doDivides0(X2,X1)
| X3 != sdtsldt0(X1,X2) ),
inference(split_conjunct,[status(thm)],[146]) ).
fof(155,plain,
! [X1,X2] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| equal(X1,sz00)
| sdtlseqdt0(X2,sdtasdt0(X2,X1)) ),
inference(fof_nnf,[status(thm)],[26]) ).
fof(156,plain,
! [X3,X4] :
( ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X4)
| equal(X3,sz00)
| sdtlseqdt0(X4,sdtasdt0(X4,X3)) ),
inference(variable_rename,[status(thm)],[155]) ).
cnf(157,plain,
( sdtlseqdt0(X1,sdtasdt0(X1,X2))
| X2 = sz00
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(split_conjunct,[status(thm)],[156]) ).
cnf(158,plain,
sz10 != sz00,
inference(split_conjunct,[status(thm)],[27]) ).
cnf(159,plain,
aNaturalNumber0(sz10),
inference(split_conjunct,[status(thm)],[27]) ).
fof(160,negated_conjecture,
( sdtlseqdt0(xn,xm)
& ~ sdtlseqdt0(sdtasdt0(xn,xn),sdtasdt0(xm,xm)) ),
inference(fof_nnf,[status(thm)],[48]) ).
cnf(161,negated_conjecture,
~ sdtlseqdt0(sdtasdt0(xn,xn),sdtasdt0(xm,xm)),
inference(split_conjunct,[status(thm)],[160]) ).
cnf(162,negated_conjecture,
sdtlseqdt0(xn,xm),
inference(split_conjunct,[status(thm)],[160]) ).
fof(163,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)],[29]) ).
fof(164,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)],[163]) ).
cnf(165,plain,
( sdtasdt0(sdtasdt0(X1,X2),X3) = sdtasdt0(X1,sdtasdt0(X2,X3))
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[164]) ).
fof(166,plain,
! [X1,X2] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ equal(sdtpldt0(X1,X2),sz00)
| ( equal(X1,sz00)
& equal(X2,sz00) ) ),
inference(fof_nnf,[status(thm)],[30]) ).
fof(167,plain,
! [X3,X4] :
( ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X4)
| ~ equal(sdtpldt0(X3,X4),sz00)
| ( equal(X3,sz00)
& equal(X4,sz00) ) ),
inference(variable_rename,[status(thm)],[166]) ).
fof(168,plain,
! [X3,X4] :
( ( equal(X3,sz00)
| ~ equal(sdtpldt0(X3,X4),sz00)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X4) )
& ( equal(X4,sz00)
| ~ equal(sdtpldt0(X3,X4),sz00)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X4) ) ),
inference(distribute,[status(thm)],[167]) ).
cnf(170,plain,
( X2 = sz00
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| sdtpldt0(X2,X1) != sz00 ),
inference(split_conjunct,[status(thm)],[168]) ).
fof(181,plain,
! [X1,X2] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| aNaturalNumber0(sdtasdt0(X1,X2)) ),
inference(fof_nnf,[status(thm)],[33]) ).
fof(182,plain,
! [X3,X4] :
( ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X4)
| aNaturalNumber0(sdtasdt0(X3,X4)) ),
inference(variable_rename,[status(thm)],[181]) ).
cnf(183,plain,
( aNaturalNumber0(sdtasdt0(X1,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[182]) ).
fof(184,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)],[34]) ).
fof(185,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)],[184]) ).
fof(186,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)],[185]) ).
fof(187,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)],[186]) ).
fof(188,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)],[187]) ).
cnf(193,plain,
( ~ aNaturalNumber0(X1)
| ~ isPrime0(X1)
| X1 != sz10 ),
inference(split_conjunct,[status(thm)],[188]) ).
cnf(194,plain,
( ~ aNaturalNumber0(X1)
| ~ isPrime0(X1)
| X1 != sz00 ),
inference(split_conjunct,[status(thm)],[188]) ).
cnf(195,plain,
( X2 = X1
| X2 = sz10
| ~ aNaturalNumber0(X1)
| ~ isPrime0(X1)
| ~ doDivides0(X2,X1)
| ~ aNaturalNumber0(X2) ),
inference(split_conjunct,[status(thm)],[188]) ).
cnf(196,plain,
sdtasdt0(xm,xm) = sdtasdt0(xp,sdtasdt0(xq,xq)),
inference(split_conjunct,[status(thm)],[35]) ).
cnf(197,plain,
aNaturalNumber0(sz00),
inference(split_conjunct,[status(thm)],[36]) ).
fof(201,plain,
! [X1] :
( ~ aNaturalNumber0(X1)
| equal(X1,sz00)
| equal(X1,sz10)
| ? [X2] :
( aNaturalNumber0(X2)
& doDivides0(X2,X1)
& isPrime0(X2) ) ),
inference(fof_nnf,[status(thm)],[38]) ).
fof(202,plain,
! [X3] :
( ~ aNaturalNumber0(X3)
| equal(X3,sz00)
| equal(X3,sz10)
| ? [X4] :
( aNaturalNumber0(X4)
& doDivides0(X4,X3)
& isPrime0(X4) ) ),
inference(variable_rename,[status(thm)],[201]) ).
fof(203,plain,
! [X3] :
( ~ aNaturalNumber0(X3)
| equal(X3,sz00)
| equal(X3,sz10)
| ( aNaturalNumber0(esk4_1(X3))
& doDivides0(esk4_1(X3),X3)
& isPrime0(esk4_1(X3)) ) ),
inference(skolemize,[status(esa)],[202]) ).
fof(204,plain,
! [X3] :
( ( aNaturalNumber0(esk4_1(X3))
| ~ aNaturalNumber0(X3)
| equal(X3,sz00)
| equal(X3,sz10) )
& ( doDivides0(esk4_1(X3),X3)
| ~ aNaturalNumber0(X3)
| equal(X3,sz00)
| equal(X3,sz10) )
& ( isPrime0(esk4_1(X3))
| ~ aNaturalNumber0(X3)
| equal(X3,sz00)
| equal(X3,sz10) ) ),
inference(distribute,[status(thm)],[203]) ).
cnf(205,plain,
( X1 = sz10
| X1 = sz00
| isPrime0(esk4_1(X1))
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[204]) ).
cnf(206,plain,
( X1 = sz10
| X1 = sz00
| doDivides0(esk4_1(X1),X1)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[204]) ).
cnf(207,plain,
( X1 = sz10
| X1 = sz00
| aNaturalNumber0(esk4_1(X1))
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[204]) ).
fof(216,plain,
! [X1,X2] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| equal(sdtasdt0(X1,X2),sdtasdt0(X2,X1)) ),
inference(fof_nnf,[status(thm)],[41]) ).
fof(217,plain,
! [X3,X4] :
( ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X4)
| equal(sdtasdt0(X3,X4),sdtasdt0(X4,X3)) ),
inference(variable_rename,[status(thm)],[216]) ).
cnf(218,plain,
( sdtasdt0(X1,X2) = sdtasdt0(X2,X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[217]) ).
fof(219,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)],[42]) ).
fof(220,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)],[219]) ).
fof(221,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)],[220]) ).
cnf(222,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)],[221]) ).
cnf(223,plain,
xp != sz00,
inference(split_conjunct,[status(thm)],[43]) ).
cnf(224,plain,
xm != sz00,
inference(split_conjunct,[status(thm)],[43]) ).
cnf(225,plain,
xn != sz00,
inference(split_conjunct,[status(thm)],[43]) ).
cnf(226,plain,
aNaturalNumber0(xp),
inference(split_conjunct,[status(thm)],[43]) ).
cnf(227,plain,
aNaturalNumber0(xm),
inference(split_conjunct,[status(thm)],[43]) ).
cnf(228,plain,
aNaturalNumber0(xn),
inference(split_conjunct,[status(thm)],[43]) ).
cnf(234,plain,
doDivides0(xp,xn),
inference(split_conjunct,[status(thm)],[45]) ).
fof(236,plain,
! [X1] :
( ~ aNaturalNumber0(X1)
| ( equal(sdtasdt0(X1,sz10),X1)
& equal(X1,sdtasdt0(sz10,X1)) ) ),
inference(fof_nnf,[status(thm)],[46]) ).
fof(237,plain,
! [X2] :
( ~ aNaturalNumber0(X2)
| ( equal(sdtasdt0(X2,sz10),X2)
& equal(X2,sdtasdt0(sz10,X2)) ) ),
inference(variable_rename,[status(thm)],[236]) ).
fof(238,plain,
! [X2] :
( ( equal(sdtasdt0(X2,sz10),X2)
| ~ aNaturalNumber0(X2) )
& ( equal(X2,sdtasdt0(sz10,X2))
| ~ aNaturalNumber0(X2) ) ),
inference(distribute,[status(thm)],[237]) ).
cnf(239,plain,
( X1 = sdtasdt0(sz10,X1)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[238]) ).
cnf(240,plain,
( sdtasdt0(X1,sz10) = X1
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[238]) ).
cnf(241,plain,
isPrime0(xp),
inference(split_conjunct,[status(thm)],[47]) ).
cnf(245,plain,
( sz10 != xp
| ~ aNaturalNumber0(xp) ),
inference(spm,[status(thm)],[193,241,theory(equality)]) ).
cnf(246,plain,
( sz10 != xp
| $false ),
inference(rw,[status(thm)],[245,226,theory(equality)]) ).
cnf(247,plain,
sz10 != xp,
inference(cn,[status(thm)],[246,theory(equality)]) ).
cnf(249,plain,
( sdtlseqdt0(X1,xn)
| sdtlseqdt0(xn,X1)
| ~ aNaturalNumber0(X1) ),
inference(spm,[status(thm)],[95,228,theory(equality)]) ).
cnf(250,plain,
( sdtlseqdt0(X1,xm)
| sdtlseqdt0(xm,X1)
| ~ aNaturalNumber0(X1) ),
inference(spm,[status(thm)],[95,227,theory(equality)]) ).
cnf(255,plain,
( aNaturalNumber0(sdtasdt0(xn,xn))
| ~ aNaturalNumber0(sdtasdt0(xm,xm))
| ~ aNaturalNumber0(xp) ),
inference(spm,[status(thm)],[183,103,theory(equality)]) ).
cnf(256,plain,
( aNaturalNumber0(sdtasdt0(xm,xm))
| ~ aNaturalNumber0(sdtasdt0(xq,xq))
| ~ aNaturalNumber0(xp) ),
inference(spm,[status(thm)],[183,196,theory(equality)]) ).
cnf(262,plain,
( aNaturalNumber0(sdtasdt0(xn,xn))
| ~ aNaturalNumber0(sdtasdt0(xm,xm))
| $false ),
inference(rw,[status(thm)],[255,226,theory(equality)]) ).
cnf(263,plain,
( aNaturalNumber0(sdtasdt0(xn,xn))
| ~ aNaturalNumber0(sdtasdt0(xm,xm)) ),
inference(cn,[status(thm)],[262,theory(equality)]) ).
cnf(264,plain,
( aNaturalNumber0(sdtasdt0(xm,xm))
| ~ aNaturalNumber0(sdtasdt0(xq,xq))
| $false ),
inference(rw,[status(thm)],[256,226,theory(equality)]) ).
cnf(265,plain,
( aNaturalNumber0(sdtasdt0(xm,xm))
| ~ aNaturalNumber0(sdtasdt0(xq,xq)) ),
inference(cn,[status(thm)],[264,theory(equality)]) ).
cnf(339,plain,
( sz00 = X1
| sdtlseqdt0(X2,sdtasdt0(X1,X2))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(spm,[status(thm)],[157,218,theory(equality)]) ).
cnf(353,plain,
( sz10 = X1
| sz00 = X1
| sz10 != esk4_1(X1)
| ~ aNaturalNumber0(esk4_1(X1))
| ~ aNaturalNumber0(X1) ),
inference(spm,[status(thm)],[193,205,theory(equality)]) ).
cnf(361,negated_conjecture,
( xm = xn
| ~ sdtlseqdt0(xm,xn)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xm) ),
inference(spm,[status(thm)],[142,162,theory(equality)]) ).
cnf(363,plain,
( sdtasdt0(X1,X2) = X1
| sz00 = X2
| ~ sdtlseqdt0(sdtasdt0(X1,X2),X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(sdtasdt0(X1,X2))
| ~ aNaturalNumber0(X2) ),
inference(spm,[status(thm)],[142,157,theory(equality)]) ).
cnf(364,negated_conjecture,
( xm = xn
| ~ sdtlseqdt0(xm,xn)
| $false
| ~ aNaturalNumber0(xm) ),
inference(rw,[status(thm)],[361,228,theory(equality)]) ).
cnf(365,negated_conjecture,
( xm = xn
| ~ sdtlseqdt0(xm,xn)
| $false
| $false ),
inference(rw,[status(thm)],[364,227,theory(equality)]) ).
cnf(366,negated_conjecture,
( xm = xn
| ~ sdtlseqdt0(xm,xn) ),
inference(cn,[status(thm)],[365,theory(equality)]) ).
cnf(395,plain,
( sz00 = xn
| sdtlseqdt0(xp,xn)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xp) ),
inference(spm,[status(thm)],[106,234,theory(equality)]) ).
cnf(398,plain,
( sz00 = xn
| sdtlseqdt0(xp,xn)
| $false
| ~ aNaturalNumber0(xp) ),
inference(rw,[status(thm)],[395,228,theory(equality)]) ).
cnf(399,plain,
( sz00 = xn
| sdtlseqdt0(xp,xn)
| $false
| $false ),
inference(rw,[status(thm)],[398,226,theory(equality)]) ).
cnf(400,plain,
( sz00 = xn
| sdtlseqdt0(xp,xn) ),
inference(cn,[status(thm)],[399,theory(equality)]) ).
cnf(401,plain,
sdtlseqdt0(xp,xn),
inference(sr,[status(thm)],[400,225,theory(equality)]) ).
cnf(406,plain,
( sz00 = X1
| X2 != sz00
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(esk2_2(X1,X2))
| ~ sdtlseqdt0(X1,X2)
| ~ aNaturalNumber0(X2) ),
inference(spm,[status(thm)],[170,134,theory(equality)]) ).
cnf(410,negated_conjecture,
( sdtlseqdt0(X1,xm)
| ~ sdtlseqdt0(X1,xn)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X1) ),
inference(spm,[status(thm)],[99,162,theory(equality)]) ).
cnf(413,plain,
( sdtlseqdt0(X1,sdtasdt0(X2,X3))
| sz00 = X3
| ~ sdtlseqdt0(X1,X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(sdtasdt0(X2,X3))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X3) ),
inference(spm,[status(thm)],[99,157,theory(equality)]) ).
cnf(414,negated_conjecture,
( sdtlseqdt0(X1,xm)
| ~ sdtlseqdt0(X1,xn)
| $false
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X1) ),
inference(rw,[status(thm)],[410,228,theory(equality)]) ).
cnf(415,negated_conjecture,
( sdtlseqdt0(X1,xm)
| ~ sdtlseqdt0(X1,xn)
| $false
| $false
| ~ aNaturalNumber0(X1) ),
inference(rw,[status(thm)],[414,227,theory(equality)]) ).
cnf(416,negated_conjecture,
( sdtlseqdt0(X1,xm)
| ~ sdtlseqdt0(X1,xn)
| ~ aNaturalNumber0(X1) ),
inference(cn,[status(thm)],[415,theory(equality)]) ).
cnf(450,plain,
( doDivides0(X1,sdtasdt0(X1,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(sdtasdt0(X1,X2)) ),
inference(er,[status(thm)],[88,theory(equality)]) ).
cnf(454,plain,
( doDivides0(sz10,X1)
| X2 != X1
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1) ),
inference(spm,[status(thm)],[88,239,theory(equality)]) ).
cnf(466,plain,
( doDivides0(sz10,X1)
| X2 != X1
| ~ aNaturalNumber0(X2)
| $false
| ~ aNaturalNumber0(X1) ),
inference(rw,[status(thm)],[454,159,theory(equality)]) ).
cnf(467,plain,
( doDivides0(sz10,X1)
| X2 != X1
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(cn,[status(thm)],[466,theory(equality)]) ).
cnf(468,plain,
( doDivides0(sz10,X1)
| ~ aNaturalNumber0(X1) ),
inference(er,[status(thm)],[467,theory(equality)]) ).
cnf(475,plain,
( sz10 = esk4_1(X1)
| X1 = esk4_1(X1)
| sz10 = X1
| sz00 = X1
| ~ isPrime0(X1)
| ~ aNaturalNumber0(esk4_1(X1))
| ~ aNaturalNumber0(X1) ),
inference(spm,[status(thm)],[195,206,theory(equality)]) ).
cnf(514,plain,
( sdtasdt0(sdtasdt0(xn,xn),X1) = sdtasdt0(xp,sdtasdt0(sdtasdt0(xm,xm),X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(sdtasdt0(xm,xm))
| ~ aNaturalNumber0(xp) ),
inference(spm,[status(thm)],[165,103,theory(equality)]) ).
cnf(516,plain,
( sdtasdt0(X1,sdtasdt0(X2,sz10)) = sdtasdt0(X1,X2)
| ~ aNaturalNumber0(sdtasdt0(X1,X2))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(spm,[status(thm)],[240,165,theory(equality)]) ).
cnf(518,plain,
( sdtasdt0(X1,X2) = sdtasdt0(sz10,sdtasdt0(X1,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(sz10) ),
inference(spm,[status(thm)],[165,239,theory(equality)]) ).
cnf(519,plain,
( sdtasdt0(X1,sdtasdt0(X2,sz00)) = sz00
| ~ aNaturalNumber0(sdtasdt0(X1,X2))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(spm,[status(thm)],[54,165,theory(equality)]) ).
cnf(521,plain,
( sdtasdt0(sz00,X2) = sdtasdt0(sz00,sdtasdt0(X1,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(sz00) ),
inference(spm,[status(thm)],[165,53,theory(equality)]) ).
cnf(523,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)],[218,165,theory(equality)]) ).
cnf(527,plain,
( sz00 = X1
| sdtlseqdt0(sdtasdt0(X2,X3),sdtasdt0(X2,sdtasdt0(X3,X1)))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(sdtasdt0(X2,X3))
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2) ),
inference(spm,[status(thm)],[157,165,theory(equality)]) ).
cnf(534,plain,
( sdtasdt0(sdtasdt0(xn,xn),X1) = sdtasdt0(xp,sdtasdt0(sdtasdt0(xm,xm),X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(sdtasdt0(xm,xm))
| $false ),
inference(rw,[status(thm)],[514,226,theory(equality)]) ).
cnf(535,plain,
( sdtasdt0(sdtasdt0(xn,xn),X1) = sdtasdt0(xp,sdtasdt0(sdtasdt0(xm,xm),X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(sdtasdt0(xm,xm)) ),
inference(cn,[status(thm)],[534,theory(equality)]) ).
cnf(538,plain,
( sdtasdt0(X1,sdtasdt0(X2,sz10)) = sdtasdt0(X1,X2)
| ~ aNaturalNumber0(sdtasdt0(X1,X2))
| $false
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(rw,[status(thm)],[516,159,theory(equality)]) ).
cnf(539,plain,
( sdtasdt0(X1,sdtasdt0(X2,sz10)) = sdtasdt0(X1,X2)
| ~ aNaturalNumber0(sdtasdt0(X1,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(cn,[status(thm)],[538,theory(equality)]) ).
cnf(542,plain,
( sdtasdt0(X1,X2) = sdtasdt0(sz10,sdtasdt0(X1,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| $false ),
inference(rw,[status(thm)],[518,159,theory(equality)]) ).
cnf(543,plain,
( sdtasdt0(X1,X2) = sdtasdt0(sz10,sdtasdt0(X1,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(cn,[status(thm)],[542,theory(equality)]) ).
cnf(544,plain,
( sdtasdt0(X1,sdtasdt0(X2,sz00)) = sz00
| ~ aNaturalNumber0(sdtasdt0(X1,X2))
| $false
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(rw,[status(thm)],[519,197,theory(equality)]) ).
cnf(545,plain,
( sdtasdt0(X1,sdtasdt0(X2,sz00)) = sz00
| ~ aNaturalNumber0(sdtasdt0(X1,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(cn,[status(thm)],[544,theory(equality)]) ).
cnf(548,plain,
( sdtasdt0(sz00,X2) = sdtasdt0(sz00,sdtasdt0(X1,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| $false ),
inference(rw,[status(thm)],[521,197,theory(equality)]) ).
cnf(549,plain,
( sdtasdt0(sz00,X2) = sdtasdt0(sz00,sdtasdt0(X1,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(cn,[status(thm)],[548,theory(equality)]) ).
cnf(551,plain,
( sz00 = sdtasdt0(xm,xm)
| xp = X1
| sdtasdt0(xn,xn) != sdtasdt0(X1,sdtasdt0(xm,xm))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtasdt0(xm,xm)) ),
inference(spm,[status(thm)],[68,103,theory(equality)]) ).
cnf(557,plain,
( sz00 = X1
| sz10 = X2
| X1 != sdtasdt0(X2,X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1) ),
inference(spm,[status(thm)],[68,239,theory(equality)]) ).
cnf(569,plain,
( sz00 = sdtasdt0(xm,xm)
| xp = X1
| sdtasdt0(xn,xn) != sdtasdt0(X1,sdtasdt0(xm,xm))
| ~ aNaturalNumber0(X1)
| $false
| ~ aNaturalNumber0(sdtasdt0(xm,xm)) ),
inference(rw,[status(thm)],[551,226,theory(equality)]) ).
cnf(570,plain,
( sz00 = sdtasdt0(xm,xm)
| xp = X1
| sdtasdt0(xn,xn) != sdtasdt0(X1,sdtasdt0(xm,xm))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(sdtasdt0(xm,xm)) ),
inference(cn,[status(thm)],[569,theory(equality)]) ).
cnf(583,plain,
( sz00 = X1
| sz10 = X2
| X1 != sdtasdt0(X2,X1)
| ~ aNaturalNumber0(X2)
| $false
| ~ aNaturalNumber0(X1) ),
inference(rw,[status(thm)],[557,159,theory(equality)]) ).
cnf(584,plain,
( sz00 = X1
| sz10 = X2
| X1 != sdtasdt0(X2,X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(cn,[status(thm)],[583,theory(equality)]) ).
cnf(636,plain,
( doDivides0(X1,xn)
| ~ doDivides0(X1,xp)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1) ),
inference(spm,[status(thm)],[57,234,theory(equality)]) ).
cnf(640,plain,
( doDivides0(X1,xn)
| ~ doDivides0(X1,xp)
| $false
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1) ),
inference(rw,[status(thm)],[636,226,theory(equality)]) ).
cnf(641,plain,
( doDivides0(X1,xn)
| ~ doDivides0(X1,xp)
| $false
| $false
| ~ aNaturalNumber0(X1) ),
inference(rw,[status(thm)],[640,228,theory(equality)]) ).
cnf(642,plain,
( doDivides0(X1,xn)
| ~ doDivides0(X1,xp)
| ~ aNaturalNumber0(X1) ),
inference(cn,[status(thm)],[641,theory(equality)]) ).
cnf(645,plain,
( sz00 = X1
| aNaturalNumber0(sdtsldt0(X2,X1))
| ~ doDivides0(X1,X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(er,[status(thm)],[149,theory(equality)]) ).
cnf(646,plain,
( sz00 = xp
| aNaturalNumber0(X1)
| xq != X1
| ~ doDivides0(xp,xn)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xn) ),
inference(spm,[status(thm)],[149,118,theory(equality)]) ).
cnf(647,plain,
( sz00 = xp
| aNaturalNumber0(X1)
| xq != X1
| $false
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xn) ),
inference(rw,[status(thm)],[646,234,theory(equality)]) ).
cnf(648,plain,
( sz00 = xp
| aNaturalNumber0(X1)
| xq != X1
| $false
| $false
| ~ aNaturalNumber0(xn) ),
inference(rw,[status(thm)],[647,226,theory(equality)]) ).
cnf(649,plain,
( sz00 = xp
| aNaturalNumber0(X1)
| xq != X1
| $false
| $false
| $false ),
inference(rw,[status(thm)],[648,228,theory(equality)]) ).
cnf(650,plain,
( sz00 = xp
| aNaturalNumber0(X1)
| xq != X1 ),
inference(cn,[status(thm)],[649,theory(equality)]) ).
cnf(651,plain,
( aNaturalNumber0(X1)
| xq != X1 ),
inference(sr,[status(thm)],[650,223,theory(equality)]) ).
cnf(689,plain,
( sz00 = xp
| X1 = sdtasdt0(xm,xm)
| sdtlseqdt0(sdtasdt0(xn,xn),sdtasdt0(xp,X1))
| ~ sdtlseqdt0(sdtasdt0(xm,xm),X1)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtasdt0(xm,xm))
| ~ aNaturalNumber0(X1) ),
inference(spm,[status(thm)],[127,103,theory(equality)]) ).
cnf(703,plain,
( sdtasdt0(X1,X2) = sdtasdt0(X1,X3)
| sz00 = X1
| X2 = X3
| ~ sdtlseqdt0(sdtasdt0(X1,X2),sdtasdt0(X1,X3))
| ~ aNaturalNumber0(sdtasdt0(X1,X3))
| ~ aNaturalNumber0(sdtasdt0(X1,X2))
| ~ sdtlseqdt0(X3,X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2) ),
inference(spm,[status(thm)],[142,127,theory(equality)]) ).
cnf(709,plain,
( sz00 = xp
| X1 = sdtasdt0(xm,xm)
| sdtlseqdt0(sdtasdt0(xn,xn),sdtasdt0(xp,X1))
| ~ sdtlseqdt0(sdtasdt0(xm,xm),X1)
| $false
| ~ aNaturalNumber0(sdtasdt0(xm,xm))
| ~ aNaturalNumber0(X1) ),
inference(rw,[status(thm)],[689,226,theory(equality)]) ).
cnf(710,plain,
( sz00 = xp
| X1 = sdtasdt0(xm,xm)
| sdtlseqdt0(sdtasdt0(xn,xn),sdtasdt0(xp,X1))
| ~ sdtlseqdt0(sdtasdt0(xm,xm),X1)
| ~ aNaturalNumber0(sdtasdt0(xm,xm))
| ~ aNaturalNumber0(X1) ),
inference(cn,[status(thm)],[709,theory(equality)]) ).
cnf(711,plain,
( X1 = sdtasdt0(xm,xm)
| sdtlseqdt0(sdtasdt0(xn,xn),sdtasdt0(xp,X1))
| ~ sdtlseqdt0(sdtasdt0(xm,xm),X1)
| ~ aNaturalNumber0(sdtasdt0(xm,xm))
| ~ aNaturalNumber0(X1) ),
inference(sr,[status(thm)],[710,223,theory(equality)]) ).
cnf(761,plain,
( sdtasdt0(X1,sdtsldt0(X2,X1)) = X2
| sz00 = X1
| ~ doDivides0(X1,X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(er,[status(thm)],[148,theory(equality)]) ).
cnf(762,plain,
( sdtasdt0(xp,X1) = xn
| sz00 = xp
| xq != X1
| ~ doDivides0(xp,xn)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xn) ),
inference(spm,[status(thm)],[148,118,theory(equality)]) ).
cnf(763,plain,
( sdtasdt0(xp,X1) = xn
| sz00 = xp
| xq != X1
| $false
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xn) ),
inference(rw,[status(thm)],[762,234,theory(equality)]) ).
cnf(764,plain,
( sdtasdt0(xp,X1) = xn
| sz00 = xp
| xq != X1
| $false
| $false
| ~ aNaturalNumber0(xn) ),
inference(rw,[status(thm)],[763,226,theory(equality)]) ).
cnf(765,plain,
( sdtasdt0(xp,X1) = xn
| sz00 = xp
| xq != X1
| $false
| $false
| $false ),
inference(rw,[status(thm)],[764,228,theory(equality)]) ).
cnf(766,plain,
( sdtasdt0(xp,X1) = xn
| sz00 = xp
| xq != X1 ),
inference(cn,[status(thm)],[765,theory(equality)]) ).
cnf(767,plain,
( sdtasdt0(xp,X1) = xn
| xq != X1 ),
inference(sr,[status(thm)],[766,223,theory(equality)]) ).
cnf(826,plain,
( sdtasdt0(X1,X2) = sdtasdt0(X3,X2)
| sz00 = X2
| X1 = X3
| ~ sdtlseqdt0(sdtasdt0(X1,X2),sdtasdt0(X3,X2))
| ~ aNaturalNumber0(sdtasdt0(X3,X2))
| ~ aNaturalNumber0(sdtasdt0(X1,X2))
| ~ sdtlseqdt0(X3,X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X1) ),
inference(spm,[status(thm)],[142,125,theory(equality)]) ).
cnf(975,plain,
( sdtsldt0(X1,X2) = X3
| sz00 = X2
| sdtasdt0(X2,X3) != X1
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(csr,[status(thm)],[147,88]) ).
cnf(976,plain,
( sdtsldt0(sdtasdt0(X1,X2),X1) = X2
| sz00 = X1
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(sdtasdt0(X1,X2)) ),
inference(er,[status(thm)],[975,theory(equality)]) ).
cnf(979,plain,
( sdtsldt0(X1,X2) = sz10
| sz00 = X2
| X2 != X1
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(spm,[status(thm)],[975,240,theory(equality)]) ).
cnf(992,plain,
( sdtsldt0(X1,X2) = sz10
| sz00 = X2
| X2 != X1
| $false
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(rw,[status(thm)],[979,159,theory(equality)]) ).
cnf(993,plain,
( sdtsldt0(X1,X2) = sz10
| sz00 = X2
| X2 != X1
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(cn,[status(thm)],[992,theory(equality)]) ).
cnf(994,plain,
( sdtsldt0(X1,X1) = sz10
| sz00 = X1
| ~ aNaturalNumber0(X1) ),
inference(er,[status(thm)],[993,theory(equality)]) ).
cnf(1062,plain,
( sdtsldt0(sdtasdt0(xn,xn),X1) = sdtasdt0(xp,sdtsldt0(sdtasdt0(xm,xm),X1))
| sz00 = X1
| ~ doDivides0(X1,sdtasdt0(xm,xm))
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(sdtasdt0(xm,xm)) ),
inference(spm,[status(thm)],[222,103,theory(equality)]) ).
cnf(1065,plain,
( sdtsldt0(X1,X2) = sdtasdt0(sz10,sdtsldt0(X1,X2))
| sz00 = X2
| ~ doDivides0(X2,X1)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(spm,[status(thm)],[222,239,theory(equality)]) ).
cnf(1067,plain,
( sdtsldt0(sz00,X2) = sdtasdt0(sz00,sdtsldt0(X1,X2))
| sz00 = X2
| ~ doDivides0(X2,X1)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(spm,[status(thm)],[222,53,theory(equality)]) ).
cnf(1074,plain,
( sdtsldt0(sdtasdt0(xn,xn),X1) = sdtasdt0(xp,sdtsldt0(sdtasdt0(xm,xm),X1))
| sz00 = X1
| ~ doDivides0(X1,sdtasdt0(xm,xm))
| $false
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(sdtasdt0(xm,xm)) ),
inference(rw,[status(thm)],[1062,226,theory(equality)]) ).
cnf(1075,plain,
( sdtsldt0(sdtasdt0(xn,xn),X1) = sdtasdt0(xp,sdtsldt0(sdtasdt0(xm,xm),X1))
| sz00 = X1
| ~ doDivides0(X1,sdtasdt0(xm,xm))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(sdtasdt0(xm,xm)) ),
inference(cn,[status(thm)],[1074,theory(equality)]) ).
cnf(1080,plain,
( sdtsldt0(X1,X2) = sdtasdt0(sz10,sdtsldt0(X1,X2))
| sz00 = X2
| ~ doDivides0(X2,X1)
| $false
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(rw,[status(thm)],[1065,159,theory(equality)]) ).
cnf(1081,plain,
( sdtsldt0(X1,X2) = sdtasdt0(sz10,sdtsldt0(X1,X2))
| sz00 = X2
| ~ doDivides0(X2,X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(cn,[status(thm)],[1080,theory(equality)]) ).
cnf(1084,plain,
( sdtsldt0(sz00,X2) = sdtasdt0(sz00,sdtsldt0(X1,X2))
| sz00 = X2
| ~ doDivides0(X2,X1)
| $false
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(rw,[status(thm)],[1067,197,theory(equality)]) ).
cnf(1085,plain,
( sdtsldt0(sz00,X2) = sdtasdt0(sz00,sdtsldt0(X1,X2))
| sz00 = X2
| ~ doDivides0(X2,X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(cn,[status(thm)],[1084,theory(equality)]) ).
cnf(1129,plain,
sdtlseqdt0(xn,xn),
inference(spm,[status(thm)],[249,228,theory(equality)]) ).
cnf(1142,plain,
( sdtlseqdt0(X1,X2)
| sdtlseqdt0(X2,X1)
| ~ aNaturalNumber0(X1)
| xq != X2 ),
inference(spm,[status(thm)],[95,651,theory(equality)]) ).
cnf(1177,plain,
( xn = sdtasdt0(xm,xm)
| xq != sdtasdt0(xq,xq) ),
inference(spm,[status(thm)],[196,767,theory(equality)]) ).
cnf(1179,plain,
( xn = sz00
| ~ aNaturalNumber0(xp)
| xq != sz00 ),
inference(spm,[status(thm)],[54,767,theory(equality)]) ).
cnf(1181,plain,
( xn = sdtasdt0(X1,xp)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(xp)
| xq != X1 ),
inference(spm,[status(thm)],[218,767,theory(equality)]) ).
cnf(1187,plain,
( sdtasdt0(xn,X2) = sdtasdt0(xp,sdtasdt0(X1,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(xp)
| xq != X1 ),
inference(spm,[status(thm)],[165,767,theory(equality)]) ).
cnf(1207,plain,
( xn = sz00
| $false
| xq != sz00 ),
inference(rw,[status(thm)],[1179,226,theory(equality)]) ).
cnf(1208,plain,
( xn = sz00
| xq != sz00 ),
inference(cn,[status(thm)],[1207,theory(equality)]) ).
cnf(1209,plain,
xq != sz00,
inference(sr,[status(thm)],[1208,225,theory(equality)]) ).
cnf(1213,plain,
( xn = sdtasdt0(X1,xp)
| ~ aNaturalNumber0(X1)
| $false
| xq != X1 ),
inference(rw,[status(thm)],[1181,226,theory(equality)]) ).
cnf(1214,plain,
( xn = sdtasdt0(X1,xp)
| ~ aNaturalNumber0(X1)
| xq != X1 ),
inference(cn,[status(thm)],[1213,theory(equality)]) ).
cnf(1227,plain,
( sdtasdt0(xn,X2) = sdtasdt0(xp,sdtasdt0(X1,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| $false
| xq != X1 ),
inference(rw,[status(thm)],[1187,226,theory(equality)]) ).
cnf(1228,plain,
( sdtasdt0(xn,X2) = sdtasdt0(xp,sdtasdt0(X1,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| xq != X1 ),
inference(cn,[status(thm)],[1227,theory(equality)]) ).
cnf(1483,plain,
( aNaturalNumber0(sdtasdt0(xn,xn))
| ~ aNaturalNumber0(xm) ),
inference(spm,[status(thm)],[263,183,theory(equality)]) ).
cnf(1487,plain,
( aNaturalNumber0(sdtasdt0(xn,xn))
| $false ),
inference(rw,[status(thm)],[1483,227,theory(equality)]) ).
cnf(1488,plain,
aNaturalNumber0(sdtasdt0(xn,xn)),
inference(cn,[status(thm)],[1487,theory(equality)]) ).
cnf(1535,plain,
( sdtlseqdt0(xm,sdtasdt0(xn,xn))
| sdtlseqdt0(sdtasdt0(xn,xn),xm) ),
inference(spm,[status(thm)],[250,1488,theory(equality)]) ).
cnf(1575,plain,
( aNaturalNumber0(sdtasdt0(xm,xm))
| ~ aNaturalNumber0(xq) ),
inference(spm,[status(thm)],[265,183,theory(equality)]) ).
cnf(1678,plain,
( sdtlseqdt0(X1,X2)
| sdtlseqdt0(X2,X1)
| xq != X1
| xq != X2 ),
inference(spm,[status(thm)],[1142,651,theory(equality)]) ).
cnf(1687,plain,
( sdtlseqdt0(X1,xq)
| sdtlseqdt0(xq,X1)
| xq != X1 ),
inference(er,[status(thm)],[1678,theory(equality)]) ).
cnf(1688,plain,
sdtlseqdt0(xq,xq),
inference(er,[status(thm)],[1687,theory(equality)]) ).
cnf(1690,plain,
( sdtasdt0(X1,xp) = xn
| xq != X1 ),
inference(csr,[status(thm)],[1214,651]) ).
cnf(1696,plain,
( sz00 = xp
| sdtlseqdt0(X1,xn)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X1)
| xq != X1 ),
inference(spm,[status(thm)],[157,1690,theory(equality)]) ).
cnf(1707,plain,
( sz00 = xp
| X1 = X2
| sdtlseqdt0(xn,sdtasdt0(X1,xp))
| ~ sdtlseqdt0(X2,X1)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| xq != X2 ),
inference(spm,[status(thm)],[125,1690,theory(equality)]) ).
cnf(1715,plain,
( sdtsldt0(xn,X2) = sdtasdt0(X1,sdtsldt0(xp,X2))
| sz00 = X2
| ~ doDivides0(X2,xp)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(xp)
| xq != X1 ),
inference(spm,[status(thm)],[222,1690,theory(equality)]) ).
cnf(1729,plain,
( sz00 = xp
| sdtlseqdt0(X1,xn)
| $false
| ~ aNaturalNumber0(X1)
| xq != X1 ),
inference(rw,[status(thm)],[1696,226,theory(equality)]) ).
cnf(1730,plain,
( sz00 = xp
| sdtlseqdt0(X1,xn)
| ~ aNaturalNumber0(X1)
| xq != X1 ),
inference(cn,[status(thm)],[1729,theory(equality)]) ).
cnf(1731,plain,
( sdtlseqdt0(X1,xn)
| ~ aNaturalNumber0(X1)
| xq != X1 ),
inference(sr,[status(thm)],[1730,223,theory(equality)]) ).
cnf(1755,plain,
( sz00 = xp
| X1 = X2
| sdtlseqdt0(xn,sdtasdt0(X1,xp))
| ~ sdtlseqdt0(X2,X1)
| $false
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| xq != X2 ),
inference(rw,[status(thm)],[1707,226,theory(equality)]) ).
cnf(1756,plain,
( sz00 = xp
| X1 = X2
| sdtlseqdt0(xn,sdtasdt0(X1,xp))
| ~ sdtlseqdt0(X2,X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| xq != X2 ),
inference(cn,[status(thm)],[1755,theory(equality)]) ).
cnf(1757,plain,
( X1 = X2
| sdtlseqdt0(xn,sdtasdt0(X1,xp))
| ~ sdtlseqdt0(X2,X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| xq != X2 ),
inference(sr,[status(thm)],[1756,223,theory(equality)]) ).
cnf(1773,plain,
( sdtsldt0(xn,X2) = sdtasdt0(X1,sdtsldt0(xp,X2))
| sz00 = X2
| ~ doDivides0(X2,xp)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| $false
| xq != X1 ),
inference(rw,[status(thm)],[1715,226,theory(equality)]) ).
cnf(1774,plain,
( sdtsldt0(xn,X2) = sdtasdt0(X1,sdtsldt0(xp,X2))
| sz00 = X2
| ~ doDivides0(X2,xp)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| xq != X1 ),
inference(cn,[status(thm)],[1773,theory(equality)]) ).
cnf(1778,plain,
( sdtlseqdt0(X1,xn)
| xq != X1 ),
inference(csr,[status(thm)],[1731,651]) ).
cnf(1780,plain,
( sdtlseqdt0(X1,xn)
| ~ sdtlseqdt0(X1,X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1)
| xq != X2 ),
inference(spm,[status(thm)],[99,1778,theory(equality)]) ).
cnf(1781,plain,
( xm = xn
| xq != xm ),
inference(spm,[status(thm)],[366,1778,theory(equality)]) ).
cnf(1784,plain,
( sdtlseqdt0(X1,xn)
| ~ sdtlseqdt0(X1,X2)
| ~ aNaturalNumber0(X2)
| $false
| ~ aNaturalNumber0(X1)
| xq != X2 ),
inference(rw,[status(thm)],[1780,228,theory(equality)]) ).
cnf(1785,plain,
( sdtlseqdt0(X1,xn)
| ~ sdtlseqdt0(X1,X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| xq != X2 ),
inference(cn,[status(thm)],[1784,theory(equality)]) ).
cnf(1802,negated_conjecture,
( xm = X1
| ~ sdtlseqdt0(xm,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(xm)
| ~ sdtlseqdt0(X1,xn) ),
inference(spm,[status(thm)],[142,416,theory(equality)]) ).
cnf(1803,negated_conjecture,
( sdtlseqdt0(X1,xm)
| ~ sdtlseqdt0(X1,X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X1)
| ~ sdtlseqdt0(X2,xn) ),
inference(spm,[status(thm)],[99,416,theory(equality)]) ).
cnf(1805,negated_conjecture,
( xm = X1
| ~ sdtlseqdt0(xm,X1)
| ~ aNaturalNumber0(X1)
| $false
| ~ sdtlseqdt0(X1,xn) ),
inference(rw,[status(thm)],[1802,227,theory(equality)]) ).
cnf(1806,negated_conjecture,
( xm = X1
| ~ sdtlseqdt0(xm,X1)
| ~ aNaturalNumber0(X1)
| ~ sdtlseqdt0(X1,xn) ),
inference(cn,[status(thm)],[1805,theory(equality)]) ).
cnf(1807,negated_conjecture,
( sdtlseqdt0(X1,xm)
| ~ sdtlseqdt0(X1,X2)
| ~ aNaturalNumber0(X2)
| $false
| ~ aNaturalNumber0(X1)
| ~ sdtlseqdt0(X2,xn) ),
inference(rw,[status(thm)],[1803,227,theory(equality)]) ).
cnf(1808,negated_conjecture,
( sdtlseqdt0(X1,xm)
| ~ sdtlseqdt0(X1,X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ sdtlseqdt0(X2,xn) ),
inference(cn,[status(thm)],[1807,theory(equality)]) ).
cnf(2031,plain,
( sdtasdt0(X1,X2) = X2
| sz00 = X1
| ~ sdtlseqdt0(sdtasdt0(X1,X2),X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(sdtasdt0(X1,X2))
| ~ aNaturalNumber0(X1) ),
inference(spm,[status(thm)],[142,339,theory(equality)]) ).
cnf(2170,plain,
( sz10 = X1
| sz00 = X1
| esk4_1(X1) != sz10
| ~ aNaturalNumber0(X1) ),
inference(csr,[status(thm)],[353,207]) ).
cnf(2247,plain,
( sdtasdt0(X1,X2) = X1
| sz00 = X2
| ~ sdtlseqdt0(sdtasdt0(X1,X2),X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(csr,[status(thm)],[363,183]) ).
cnf(2358,plain,
( doDivides0(sz10,xn)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xp) ),
inference(spm,[status(thm)],[642,468,theory(equality)]) ).
cnf(2369,plain,
( doDivides0(sz10,xn)
| $false
| ~ aNaturalNumber0(xp) ),
inference(rw,[status(thm)],[2358,159,theory(equality)]) ).
cnf(2370,plain,
( doDivides0(sz10,xn)
| $false
| $false ),
inference(rw,[status(thm)],[2369,226,theory(equality)]) ).
cnf(2371,plain,
doDivides0(sz10,xn),
inference(cn,[status(thm)],[2370,theory(equality)]) ).
cnf(2917,plain,
( sz00 = X1
| X2 != sz00
| ~ sdtlseqdt0(X1,X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(csr,[status(thm)],[406,135]) ).
cnf(3136,plain,
( sz00 = X3
| sdtlseqdt0(X1,sdtasdt0(X2,X3))
| ~ sdtlseqdt0(X1,X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2) ),
inference(csr,[status(thm)],[413,183]) ).
cnf(3139,negated_conjecture,
( sz00 = xm
| ~ sdtlseqdt0(sdtasdt0(xn,xn),xm)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtasdt0(xn,xn)) ),
inference(spm,[status(thm)],[161,3136,theory(equality)]) ).
cnf(3165,negated_conjecture,
( sz00 = xm
| ~ sdtlseqdt0(sdtasdt0(xn,xn),xm)
| $false
| ~ aNaturalNumber0(sdtasdt0(xn,xn)) ),
inference(rw,[status(thm)],[3139,227,theory(equality)]) ).
cnf(3166,negated_conjecture,
( sz00 = xm
| ~ sdtlseqdt0(sdtasdt0(xn,xn),xm)
| $false
| $false ),
inference(rw,[status(thm)],[3165,1488,theory(equality)]) ).
cnf(3167,negated_conjecture,
( sz00 = xm
| ~ sdtlseqdt0(sdtasdt0(xn,xn),xm) ),
inference(cn,[status(thm)],[3166,theory(equality)]) ).
cnf(3168,negated_conjecture,
~ sdtlseqdt0(sdtasdt0(xn,xn),xm),
inference(sr,[status(thm)],[3167,224,theory(equality)]) ).
cnf(3199,plain,
sdtlseqdt0(xm,sdtasdt0(xn,xn)),
inference(sr,[status(thm)],[1535,3168,theory(equality)]) ).
cnf(3217,plain,
( sz00 = xm
| sdtasdt0(xn,xn) != sz00
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtasdt0(xn,xn)) ),
inference(spm,[status(thm)],[2917,3199,theory(equality)]) ).
cnf(3237,plain,
( sz00 = xm
| sdtasdt0(xn,xn) != sz00
| $false
| ~ aNaturalNumber0(sdtasdt0(xn,xn)) ),
inference(rw,[status(thm)],[3217,227,theory(equality)]) ).
cnf(3238,plain,
( sz00 = xm
| sdtasdt0(xn,xn) != sz00
| $false
| $false ),
inference(rw,[status(thm)],[3237,1488,theory(equality)]) ).
cnf(3239,plain,
( sz00 = xm
| sdtasdt0(xn,xn) != sz00 ),
inference(cn,[status(thm)],[3238,theory(equality)]) ).
cnf(3240,plain,
sdtasdt0(xn,xn) != sz00,
inference(sr,[status(thm)],[3239,224,theory(equality)]) ).
cnf(3766,plain,
( doDivides0(X1,sdtasdt0(X1,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(csr,[status(thm)],[450,183]) ).
cnf(3773,plain,
( doDivides0(X1,sdtasdt0(X2,X1))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(spm,[status(thm)],[3766,218,theory(equality)]) ).
cnf(4046,plain,
( esk4_1(X1) = sz10
| esk4_1(X1) = X1
| sz10 = X1
| sz00 = X1
| ~ isPrime0(X1)
| ~ aNaturalNumber0(X1) ),
inference(csr,[status(thm)],[475,207]) ).
cnf(4047,plain,
( esk4_1(X1) = sz10
| esk4_1(X1) = X1
| sz10 = X1
| ~ isPrime0(X1)
| ~ aNaturalNumber0(X1) ),
inference(csr,[status(thm)],[4046,194]) ).
cnf(4048,plain,
( esk4_1(X1) = sz10
| esk4_1(X1) = X1
| ~ isPrime0(X1)
| ~ aNaturalNumber0(X1) ),
inference(csr,[status(thm)],[4047,193]) ).
cnf(4049,plain,
( esk4_1(xp) = sz10
| esk4_1(xp) = xp
| ~ aNaturalNumber0(xp) ),
inference(spm,[status(thm)],[4048,241,theory(equality)]) ).
cnf(4051,plain,
( esk4_1(xp) = sz10
| esk4_1(xp) = xp
| $false ),
inference(rw,[status(thm)],[4049,226,theory(equality)]) ).
cnf(4052,plain,
( esk4_1(xp) = sz10
| esk4_1(xp) = xp ),
inference(cn,[status(thm)],[4051,theory(equality)]) ).
cnf(4056,plain,
( sz10 = xp
| sz00 = xp
| doDivides0(xp,xp)
| esk4_1(xp) = sz10
| ~ aNaturalNumber0(xp) ),
inference(spm,[status(thm)],[206,4052,theory(equality)]) ).
cnf(4068,plain,
( sz10 = xp
| sz00 = xp
| doDivides0(xp,xp)
| esk4_1(xp) = sz10
| $false ),
inference(rw,[status(thm)],[4056,226,theory(equality)]) ).
cnf(4069,plain,
( sz10 = xp
| sz00 = xp
| doDivides0(xp,xp)
| esk4_1(xp) = sz10 ),
inference(cn,[status(thm)],[4068,theory(equality)]) ).
cnf(4070,plain,
( xp = sz00
| doDivides0(xp,xp)
| esk4_1(xp) = sz10 ),
inference(sr,[status(thm)],[4069,247,theory(equality)]) ).
cnf(4071,plain,
( doDivides0(xp,xp)
| esk4_1(xp) = sz10 ),
inference(sr,[status(thm)],[4070,223,theory(equality)]) ).
cnf(4089,plain,
( sz00 = xp
| sz10 = xp
| doDivides0(xp,xp)
| ~ aNaturalNumber0(xp) ),
inference(spm,[status(thm)],[2170,4071,theory(equality)]) ).
cnf(4108,plain,
( sz00 = xp
| sz10 = xp
| doDivides0(xp,xp)
| $false ),
inference(rw,[status(thm)],[4089,226,theory(equality)]) ).
cnf(4109,plain,
( sz00 = xp
| sz10 = xp
| doDivides0(xp,xp) ),
inference(cn,[status(thm)],[4108,theory(equality)]) ).
cnf(4110,plain,
( xp = sz10
| doDivides0(xp,xp) ),
inference(sr,[status(thm)],[4109,223,theory(equality)]) ).
cnf(4111,plain,
doDivides0(xp,xp),
inference(sr,[status(thm)],[4110,247,theory(equality)]) ).
cnf(4366,plain,
( sdtlseqdt0(X1,xn)
| xq != X2
| ~ sdtlseqdt0(X1,X2)
| ~ aNaturalNumber0(X1) ),
inference(csr,[status(thm)],[1785,651]) ).
cnf(4375,plain,
( sdtlseqdt0(xq,xn)
| ~ aNaturalNumber0(xq) ),
inference(spm,[status(thm)],[4366,1688,theory(equality)]) ).
cnf(4776,plain,
( doDivides0(X1,sdtasdt0(X2,sdtasdt0(X3,X1)))
| ~ aNaturalNumber0(sdtasdt0(X2,X3))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2) ),
inference(spm,[status(thm)],[3773,165,theory(equality)]) ).
cnf(4891,negated_conjecture,
( xm = sdtasdt0(X1,X2)
| sz00 = X2
| ~ sdtlseqdt0(sdtasdt0(X1,X2),xn)
| ~ aNaturalNumber0(sdtasdt0(X1,X2))
| ~ sdtlseqdt0(xm,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X2) ),
inference(spm,[status(thm)],[1806,3136,theory(equality)]) ).
cnf(4930,negated_conjecture,
( xm = sdtasdt0(X1,X2)
| sz00 = X2
| ~ sdtlseqdt0(sdtasdt0(X1,X2),xn)
| ~ aNaturalNumber0(sdtasdt0(X1,X2))
| ~ sdtlseqdt0(xm,X1)
| ~ aNaturalNumber0(X1)
| $false
| ~ aNaturalNumber0(X2) ),
inference(rw,[status(thm)],[4891,227,theory(equality)]) ).
cnf(4931,negated_conjecture,
( xm = sdtasdt0(X1,X2)
| sz00 = X2
| ~ sdtlseqdt0(sdtasdt0(X1,X2),xn)
| ~ aNaturalNumber0(sdtasdt0(X1,X2))
| ~ sdtlseqdt0(xm,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(cn,[status(thm)],[4930,theory(equality)]) ).
cnf(5347,plain,
( sdtasdt0(X1,sdtasdt0(X2,sz10)) = sdtasdt0(X1,X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(csr,[status(thm)],[539,183]) ).
cnf(5855,plain,
( sdtasdt0(sz10,xn) = xn
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(xp)
| xq != X1 ),
inference(spm,[status(thm)],[543,767,theory(equality)]) ).
cnf(5865,plain,
( sdtasdt0(X1,sz10) = sdtasdt0(sz10,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(sz10) ),
inference(spm,[status(thm)],[5347,543,theory(equality)]) ).
cnf(5931,plain,
( sdtasdt0(sz10,xn) = xn
| ~ aNaturalNumber0(X1)
| $false
| xq != X1 ),
inference(rw,[status(thm)],[5855,226,theory(equality)]) ).
cnf(5932,plain,
( sdtasdt0(sz10,xn) = xn
| ~ aNaturalNumber0(X1)
| xq != X1 ),
inference(cn,[status(thm)],[5931,theory(equality)]) ).
cnf(5952,plain,
( sdtasdt0(X1,sz10) = sdtasdt0(sz10,X1)
| ~ aNaturalNumber0(X1)
| $false ),
inference(rw,[status(thm)],[5865,159,theory(equality)]) ).
cnf(5953,plain,
( sdtasdt0(X1,sz10) = sdtasdt0(sz10,X1)
| ~ aNaturalNumber0(X1) ),
inference(cn,[status(thm)],[5952,theory(equality)]) ).
cnf(6078,plain,
( sdtasdt0(X1,sdtasdt0(X2,sz00)) = sz00
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(csr,[status(thm)],[545,183]) ).
cnf(7039,plain,
( sdtasdt0(X1,sdtasdt0(X2,X3)) = sdtasdt0(X3,sdtasdt0(X1,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X3) ),
inference(csr,[status(thm)],[523,183]) ).
cnf(7040,plain,
( sdtasdt0(xm,sdtasdt0(xp,xm)) = sdtasdt0(xn,xn)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xp) ),
inference(spm,[status(thm)],[103,7039,theory(equality)]) ).
cnf(7041,plain,
( sdtasdt0(xm,sdtasdt0(xm,xp)) = sdtasdt0(xn,xn)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xm) ),
inference(spm,[status(thm)],[103,7039,theory(equality)]) ).
cnf(7051,plain,
( sdtasdt0(sz10,sdtasdt0(X1,X2)) = sdtasdt0(X2,X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(sz10) ),
inference(spm,[status(thm)],[7039,239,theory(equality)]) ).
cnf(7210,plain,
( sdtasdt0(xm,sdtasdt0(xp,xm)) = sdtasdt0(xn,xn)
| $false
| ~ aNaturalNumber0(xp) ),
inference(rw,[status(thm)],[7040,227,theory(equality)]) ).
cnf(7211,plain,
( sdtasdt0(xm,sdtasdt0(xp,xm)) = sdtasdt0(xn,xn)
| $false
| $false ),
inference(rw,[status(thm)],[7210,226,theory(equality)]) ).
cnf(7212,plain,
sdtasdt0(xm,sdtasdt0(xp,xm)) = sdtasdt0(xn,xn),
inference(cn,[status(thm)],[7211,theory(equality)]) ).
cnf(7213,plain,
( sdtasdt0(xm,sdtasdt0(xm,xp)) = sdtasdt0(xn,xn)
| $false
| ~ aNaturalNumber0(xm) ),
inference(rw,[status(thm)],[7041,226,theory(equality)]) ).
cnf(7214,plain,
( sdtasdt0(xm,sdtasdt0(xm,xp)) = sdtasdt0(xn,xn)
| $false
| $false ),
inference(rw,[status(thm)],[7213,227,theory(equality)]) ).
cnf(7215,plain,
sdtasdt0(xm,sdtasdt0(xm,xp)) = sdtasdt0(xn,xn),
inference(cn,[status(thm)],[7214,theory(equality)]) ).
cnf(7234,plain,
( sdtasdt0(sz10,sdtasdt0(X1,X2)) = sdtasdt0(X2,X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| $false ),
inference(rw,[status(thm)],[7051,159,theory(equality)]) ).
cnf(7235,plain,
( sdtasdt0(sz10,sdtasdt0(X1,X2)) = sdtasdt0(X2,X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(cn,[status(thm)],[7234,theory(equality)]) ).
cnf(7795,plain,
( sz00 = sdtasdt0(xm,xp)
| xm = X1
| sdtlseqdt0(sdtasdt0(X1,sdtasdt0(xm,xp)),sdtasdt0(xn,xn))
| ~ sdtlseqdt0(X1,xm)
| ~ aNaturalNumber0(sdtasdt0(xm,xp))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(xm) ),
inference(spm,[status(thm)],[125,7215,theory(equality)]) ).
cnf(7848,plain,
( sz00 = sdtasdt0(xm,xp)
| xm = X1
| sdtlseqdt0(sdtasdt0(X1,sdtasdt0(xm,xp)),sdtasdt0(xn,xn))
| ~ sdtlseqdt0(X1,xm)
| ~ aNaturalNumber0(sdtasdt0(xm,xp))
| ~ aNaturalNumber0(X1)
| $false ),
inference(rw,[status(thm)],[7795,227,theory(equality)]) ).
cnf(7849,plain,
( sz00 = sdtasdt0(xm,xp)
| xm = X1
| sdtlseqdt0(sdtasdt0(X1,sdtasdt0(xm,xp)),sdtasdt0(xn,xn))
| ~ sdtlseqdt0(X1,xm)
| ~ aNaturalNumber0(sdtasdt0(xm,xp))
| ~ aNaturalNumber0(X1) ),
inference(cn,[status(thm)],[7848,theory(equality)]) ).
cnf(8116,plain,
( sz00 = X1
| sdtlseqdt0(sdtasdt0(X2,X3),sdtasdt0(X2,sdtasdt0(X3,X1)))
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(csr,[status(thm)],[527,183]) ).
cnf(8122,plain,
( sz00 = xq
| sdtlseqdt0(sdtasdt0(xp,xq),sdtasdt0(xm,xm))
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xp) ),
inference(spm,[status(thm)],[8116,196,theory(equality)]) ).
cnf(8222,plain,
( sz00 = xq
| sdtlseqdt0(sdtasdt0(xp,xq),sdtasdt0(xm,xm))
| ~ aNaturalNumber0(xq)
| $false ),
inference(rw,[status(thm)],[8122,226,theory(equality)]) ).
cnf(8223,plain,
( sz00 = xq
| sdtlseqdt0(sdtasdt0(xp,xq),sdtasdt0(xm,xm))
| ~ aNaturalNumber0(xq) ),
inference(cn,[status(thm)],[8222,theory(equality)]) ).
cnf(8224,plain,
( sdtlseqdt0(sdtasdt0(xp,xq),sdtasdt0(xm,xm))
| ~ aNaturalNumber0(xq) ),
inference(sr,[status(thm)],[8223,1209,theory(equality)]) ).
cnf(11149,plain,
( sz10 = xp
| sz00 = X1
| xn != X1
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X1)
| xq != X1 ),
inference(spm,[status(thm)],[584,767,theory(equality)]) ).
cnf(11150,plain,
( sz10 = X1
| sz00 = xp
| xn != xp
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(xp)
| xq != X1 ),
inference(spm,[status(thm)],[584,1690,theory(equality)]) ).
cnf(11188,plain,
( sz10 = xp
| sz00 = X1
| xn != X1
| $false
| ~ aNaturalNumber0(X1)
| xq != X1 ),
inference(rw,[status(thm)],[11149,226,theory(equality)]) ).
cnf(11189,plain,
( sz10 = xp
| sz00 = X1
| xn != X1
| ~ aNaturalNumber0(X1)
| xq != X1 ),
inference(cn,[status(thm)],[11188,theory(equality)]) ).
cnf(11190,plain,
( sz00 = X1
| xn != X1
| ~ aNaturalNumber0(X1)
| xq != X1 ),
inference(sr,[status(thm)],[11189,247,theory(equality)]) ).
cnf(11191,plain,
( sz10 = X1
| sz00 = xp
| xn != xp
| ~ aNaturalNumber0(X1)
| $false
| xq != X1 ),
inference(rw,[status(thm)],[11150,226,theory(equality)]) ).
cnf(11192,plain,
( sz10 = X1
| sz00 = xp
| xn != xp
| ~ aNaturalNumber0(X1)
| xq != X1 ),
inference(cn,[status(thm)],[11191,theory(equality)]) ).
cnf(11193,plain,
( sz10 = X1
| xp != xn
| ~ aNaturalNumber0(X1)
| xq != X1 ),
inference(sr,[status(thm)],[11192,223,theory(equality)]) ).
cnf(11236,plain,
( sz00 = X1
| xq != X1
| xn != X1 ),
inference(csr,[status(thm)],[11190,651]) ).
cnf(11237,plain,
( sz00 = xq
| xn != xq ),
inference(er,[status(thm)],[11236,theory(equality)]) ).
cnf(11238,plain,
xq != xn,
inference(sr,[status(thm)],[11237,1209,theory(equality)]) ).
cnf(11239,plain,
( sz10 = X1
| xp != xn
| xq != X1 ),
inference(csr,[status(thm)],[11193,651]) ).
cnf(11240,plain,
( sz10 = xq
| xp != xn ),
inference(er,[status(thm)],[11239,theory(equality)]) ).
cnf(11260,plain,
( sdtasdt0(xm,xm) = xn
| sdtasdt0(sz10,sz10) != sz10
| xp != xn ),
inference(spm,[status(thm)],[1177,11240,theory(equality)]) ).
cnf(14325,plain,
( sdtasdt0(sz10,xn) = xn
| xq != X1 ),
inference(csr,[status(thm)],[5932,651]) ).
cnf(14326,plain,
sdtasdt0(sz10,xn) = xn,
inference(er,[status(thm)],[14325,theory(equality)]) ).
cnf(14353,plain,
( doDivides0(xn,xn)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xn) ),
inference(spm,[status(thm)],[3773,14326,theory(equality)]) ).
cnf(14360,plain,
( sz00 = xn
| sdtlseqdt0(sdtasdt0(X1,sz10),sdtasdt0(X1,xn))
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1) ),
inference(spm,[status(thm)],[8116,14326,theory(equality)]) ).
cnf(14468,plain,
( doDivides0(xn,xn)
| $false
| ~ aNaturalNumber0(xn) ),
inference(rw,[status(thm)],[14353,159,theory(equality)]) ).
cnf(14469,plain,
( doDivides0(xn,xn)
| $false
| $false ),
inference(rw,[status(thm)],[14468,228,theory(equality)]) ).
cnf(14470,plain,
doDivides0(xn,xn),
inference(cn,[status(thm)],[14469,theory(equality)]) ).
cnf(14490,plain,
( sz00 = xn
| sdtlseqdt0(sdtasdt0(X1,sz10),sdtasdt0(X1,xn))
| $false
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1) ),
inference(rw,[status(thm)],[14360,228,theory(equality)]) ).
cnf(14491,plain,
( sz00 = xn
| sdtlseqdt0(sdtasdt0(X1,sz10),sdtasdt0(X1,xn))
| $false
| $false
| ~ aNaturalNumber0(X1) ),
inference(rw,[status(thm)],[14490,159,theory(equality)]) ).
cnf(14492,plain,
( sz00 = xn
| sdtlseqdt0(sdtasdt0(X1,sz10),sdtasdt0(X1,xn))
| ~ aNaturalNumber0(X1) ),
inference(cn,[status(thm)],[14491,theory(equality)]) ).
cnf(14493,plain,
( sdtlseqdt0(sdtasdt0(X1,sz10),sdtasdt0(X1,xn))
| ~ aNaturalNumber0(X1) ),
inference(sr,[status(thm)],[14492,225,theory(equality)]) ).
cnf(14867,plain,
( sz00 = xp
| aNaturalNumber0(xq)
| ~ doDivides0(xp,xn)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xn) ),
inference(spm,[status(thm)],[645,118,theory(equality)]) ).
cnf(14871,plain,
( sdtlseqdt0(xm,sdtsldt0(X1,X2))
| sdtlseqdt0(sdtsldt0(X1,X2),xm)
| sz00 = X2
| ~ doDivides0(X2,X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(spm,[status(thm)],[250,645,theory(equality)]) ).
cnf(14882,plain,
( sz00 = xp
| aNaturalNumber0(xq)
| $false
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xn) ),
inference(rw,[status(thm)],[14867,234,theory(equality)]) ).
cnf(14883,plain,
( sz00 = xp
| aNaturalNumber0(xq)
| $false
| $false
| ~ aNaturalNumber0(xn) ),
inference(rw,[status(thm)],[14882,226,theory(equality)]) ).
cnf(14884,plain,
( sz00 = xp
| aNaturalNumber0(xq)
| $false
| $false
| $false ),
inference(rw,[status(thm)],[14883,228,theory(equality)]) ).
cnf(14885,plain,
( sz00 = xp
| aNaturalNumber0(xq) ),
inference(cn,[status(thm)],[14884,theory(equality)]) ).
cnf(14886,plain,
aNaturalNumber0(xq),
inference(sr,[status(thm)],[14885,223,theory(equality)]) ).
cnf(14913,plain,
( sdtlseqdt0(xq,xn)
| $false ),
inference(rw,[status(thm)],[4375,14886,theory(equality)]) ).
cnf(14914,plain,
sdtlseqdt0(xq,xn),
inference(cn,[status(thm)],[14913,theory(equality)]) ).
cnf(14921,plain,
( aNaturalNumber0(sdtasdt0(xm,xm))
| $false ),
inference(rw,[status(thm)],[1575,14886,theory(equality)]) ).
cnf(14922,plain,
aNaturalNumber0(sdtasdt0(xm,xm)),
inference(cn,[status(thm)],[14921,theory(equality)]) ).
cnf(14957,plain,
( sdtlseqdt0(xm,sdtasdt0(xm,xm))
| sdtlseqdt0(sdtasdt0(xm,xm),xm) ),
inference(spm,[status(thm)],[250,14922,theory(equality)]) ).
cnf(14970,plain,
( sdtasdt0(xm,xm) = sz00
| xp = X1
| sdtasdt0(X1,sdtasdt0(xm,xm)) != sdtasdt0(xn,xn)
| $false
| ~ aNaturalNumber0(X1) ),
inference(rw,[status(thm)],[570,14922,theory(equality)]) ).
cnf(14971,plain,
( sdtasdt0(xm,xm) = sz00
| xp = X1
| sdtasdt0(X1,sdtasdt0(xm,xm)) != sdtasdt0(xn,xn)
| ~ aNaturalNumber0(X1) ),
inference(cn,[status(thm)],[14970,theory(equality)]) ).
cnf(14972,plain,
( sdtasdt0(xp,sdtasdt0(sdtasdt0(xm,xm),X1)) = sdtasdt0(sdtasdt0(xn,xn),X1)
| $false
| ~ aNaturalNumber0(X1) ),
inference(rw,[status(thm)],[535,14922,theory(equality)]) ).
cnf(14973,plain,
( sdtasdt0(xp,sdtasdt0(sdtasdt0(xm,xm),X1)) = sdtasdt0(sdtasdt0(xn,xn),X1)
| ~ aNaturalNumber0(X1) ),
inference(cn,[status(thm)],[14972,theory(equality)]) ).
cnf(15060,plain,
( sdtasdt0(xm,xm) = xm
| sz00 = xm
| sdtlseqdt0(xm,sdtasdt0(xm,xm))
| ~ aNaturalNumber0(xm) ),
inference(spm,[status(thm)],[2247,14957,theory(equality)]) ).
cnf(15075,plain,
( sdtasdt0(xm,xm) = xm
| sz00 = xm
| sdtlseqdt0(xm,sdtasdt0(xm,xm))
| $false ),
inference(rw,[status(thm)],[15060,227,theory(equality)]) ).
cnf(15076,plain,
( sdtasdt0(xm,xm) = xm
| sz00 = xm
| sdtlseqdt0(xm,sdtasdt0(xm,xm)) ),
inference(cn,[status(thm)],[15075,theory(equality)]) ).
cnf(15077,plain,
( sdtasdt0(xm,xm) = xm
| sdtlseqdt0(xm,sdtasdt0(xm,xm)) ),
inference(sr,[status(thm)],[15076,224,theory(equality)]) ).
cnf(15096,plain,
( xm = sdtasdt0(xm,xm)
| ~ sdtlseqdt0(sdtasdt0(xm,xm),xn)
| ~ aNaturalNumber0(sdtasdt0(xm,xm)) ),
inference(spm,[status(thm)],[1806,15077,theory(equality)]) ).
cnf(15122,plain,
( xm = sdtasdt0(xm,xm)
| ~ sdtlseqdt0(sdtasdt0(xm,xm),xn)
| $false ),
inference(rw,[status(thm)],[15096,14922,theory(equality)]) ).
cnf(15123,plain,
( xm = sdtasdt0(xm,xm)
| ~ sdtlseqdt0(sdtasdt0(xm,xm),xn) ),
inference(cn,[status(thm)],[15122,theory(equality)]) ).
cnf(15335,plain,
( sdtasdt0(xm,xm) = sz00
| xp = sz10
| sdtasdt0(xm,xm) != sdtasdt0(xn,xn)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtasdt0(xm,xm)) ),
inference(spm,[status(thm)],[14971,239,theory(equality)]) ).
cnf(15350,plain,
( sdtasdt0(xm,xm) = sz00
| xp = sz10
| sdtasdt0(xm,xm) != sdtasdt0(xn,xn)
| $false
| ~ aNaturalNumber0(sdtasdt0(xm,xm)) ),
inference(rw,[status(thm)],[15335,159,theory(equality)]) ).
cnf(15351,plain,
( sdtasdt0(xm,xm) = sz00
| xp = sz10
| sdtasdt0(xm,xm) != sdtasdt0(xn,xn)
| $false
| $false ),
inference(rw,[status(thm)],[15350,14922,theory(equality)]) ).
cnf(15352,plain,
( sdtasdt0(xm,xm) = sz00
| xp = sz10
| sdtasdt0(xm,xm) != sdtasdt0(xn,xn) ),
inference(cn,[status(thm)],[15351,theory(equality)]) ).
cnf(15353,plain,
( sdtasdt0(xm,xm) = sz00
| sdtasdt0(xm,xm) != sdtasdt0(xn,xn) ),
inference(sr,[status(thm)],[15352,247,theory(equality)]) ).
cnf(15486,plain,
( sdtasdt0(xp,sdtasdt0(xm,xm)) = sdtasdt0(sdtasdt0(xn,xn),sz10)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtasdt0(xm,xm)) ),
inference(spm,[status(thm)],[14973,240,theory(equality)]) ).
cnf(15528,plain,
( sdtasdt0(sdtasdt0(xn,xn),sz00) = sz00
| ~ aNaturalNumber0(sdtasdt0(xm,xm))
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sz00) ),
inference(spm,[status(thm)],[6078,14973,theory(equality)]) ).
cnf(15564,plain,
( sdtasdt0(xn,xn) = sdtasdt0(sdtasdt0(xn,xn),sz10)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtasdt0(xm,xm)) ),
inference(rw,[status(thm)],[15486,103,theory(equality)]) ).
cnf(15565,plain,
( sdtasdt0(xn,xn) = sdtasdt0(sdtasdt0(xn,xn),sz10)
| $false
| ~ aNaturalNumber0(sdtasdt0(xm,xm)) ),
inference(rw,[status(thm)],[15564,159,theory(equality)]) ).
cnf(15566,plain,
( sdtasdt0(xn,xn) = sdtasdt0(sdtasdt0(xn,xn),sz10)
| $false
| $false ),
inference(rw,[status(thm)],[15565,14922,theory(equality)]) ).
cnf(15567,plain,
sdtasdt0(xn,xn) = sdtasdt0(sdtasdt0(xn,xn),sz10),
inference(cn,[status(thm)],[15566,theory(equality)]) ).
cnf(15662,plain,
( sdtasdt0(sdtasdt0(xn,xn),sz00) = sz00
| $false
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sz00) ),
inference(rw,[status(thm)],[15528,14922,theory(equality)]) ).
cnf(15663,plain,
( sdtasdt0(sdtasdt0(xn,xn),sz00) = sz00
| $false
| $false
| ~ aNaturalNumber0(sz00) ),
inference(rw,[status(thm)],[15662,226,theory(equality)]) ).
cnf(15664,plain,
( sdtasdt0(sdtasdt0(xn,xn),sz00) = sz00
| $false
| $false
| $false ),
inference(rw,[status(thm)],[15663,197,theory(equality)]) ).
cnf(15665,plain,
sdtasdt0(sdtasdt0(xn,xn),sz00) = sz00,
inference(cn,[status(thm)],[15664,theory(equality)]) ).
cnf(15800,plain,
( sz00 = sdtasdt0(sz00,sdtasdt0(xn,xn))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sdtasdt0(xn,xn)) ),
inference(spm,[status(thm)],[218,15665,theory(equality)]) ).
cnf(15842,plain,
( sz00 = sdtasdt0(sz00,sdtasdt0(xn,xn))
| $false
| ~ aNaturalNumber0(sdtasdt0(xn,xn)) ),
inference(rw,[status(thm)],[15800,197,theory(equality)]) ).
cnf(15843,plain,
( sz00 = sdtasdt0(sz00,sdtasdt0(xn,xn))
| $false
| $false ),
inference(rw,[status(thm)],[15842,1488,theory(equality)]) ).
cnf(15844,plain,
sz00 = sdtasdt0(sz00,sdtasdt0(xn,xn)),
inference(cn,[status(thm)],[15843,theory(equality)]) ).
cnf(17462,plain,
( sdtasdt0(xn,xn) = sdtasdt0(sz10,sdtasdt0(xn,xn))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtasdt0(xn,xn)) ),
inference(spm,[status(thm)],[218,15567,theory(equality)]) ).
cnf(17517,plain,
( sdtasdt0(xn,xn) = sdtasdt0(sz10,sdtasdt0(xn,xn))
| $false
| ~ aNaturalNumber0(sdtasdt0(xn,xn)) ),
inference(rw,[status(thm)],[17462,159,theory(equality)]) ).
cnf(17518,plain,
( sdtasdt0(xn,xn) = sdtasdt0(sz10,sdtasdt0(xn,xn))
| $false
| $false ),
inference(rw,[status(thm)],[17517,1488,theory(equality)]) ).
cnf(17519,plain,
sdtasdt0(xn,xn) = sdtasdt0(sz10,sdtasdt0(xn,xn)),
inference(cn,[status(thm)],[17518,theory(equality)]) ).
cnf(17768,plain,
( sdtsldt0(sdtasdt0(xn,xn),X1) = sdtasdt0(sz10,sdtsldt0(sdtasdt0(xn,xn),X1))
| sz00 = X1
| ~ doDivides0(X1,sdtasdt0(xn,xn))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(sdtasdt0(xn,xn)) ),
inference(spm,[status(thm)],[222,17519,theory(equality)]) ).
cnf(17875,plain,
( sdtsldt0(sdtasdt0(xn,xn),X1) = sdtasdt0(sz10,sdtsldt0(sdtasdt0(xn,xn),X1))
| sz00 = X1
| ~ doDivides0(X1,sdtasdt0(xn,xn))
| $false
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(sdtasdt0(xn,xn)) ),
inference(rw,[status(thm)],[17768,159,theory(equality)]) ).
cnf(17876,plain,
( sdtsldt0(sdtasdt0(xn,xn),X1) = sdtasdt0(sz10,sdtsldt0(sdtasdt0(xn,xn),X1))
| sz00 = X1
| ~ doDivides0(X1,sdtasdt0(xn,xn))
| $false
| ~ aNaturalNumber0(X1)
| $false ),
inference(rw,[status(thm)],[17875,1488,theory(equality)]) ).
cnf(17877,plain,
( sdtsldt0(sdtasdt0(xn,xn),X1) = sdtasdt0(sz10,sdtsldt0(sdtasdt0(xn,xn),X1))
| sz00 = X1
| ~ doDivides0(X1,sdtasdt0(xn,xn))
| ~ aNaturalNumber0(X1) ),
inference(cn,[status(thm)],[17876,theory(equality)]) ).
cnf(18187,plain,
( X1 = sdtasdt0(xm,xm)
| sdtlseqdt0(sdtasdt0(xn,xn),sdtasdt0(xp,X1))
| ~ sdtlseqdt0(sdtasdt0(xm,xm),X1)
| $false
| ~ aNaturalNumber0(X1) ),
inference(rw,[status(thm)],[711,14922,theory(equality)]) ).
cnf(18188,plain,
( X1 = sdtasdt0(xm,xm)
| sdtlseqdt0(sdtasdt0(xn,xn),sdtasdt0(xp,X1))
| ~ sdtlseqdt0(sdtasdt0(xm,xm),X1)
| ~ aNaturalNumber0(X1) ),
inference(cn,[status(thm)],[18187,theory(equality)]) ).
cnf(20391,plain,
( sdtasdt0(X1,X2) = sdtasdt0(X1,X3)
| sz00 = X1
| X2 = X3
| ~ sdtlseqdt0(sdtasdt0(X1,X2),sdtasdt0(X1,X3))
| ~ sdtlseqdt0(X3,X2)
| ~ aNaturalNumber0(sdtasdt0(X1,X3))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2) ),
inference(csr,[status(thm)],[703,183]) ).
cnf(20392,plain,
( sdtasdt0(X1,X2) = sdtasdt0(X1,X3)
| sz00 = X1
| X2 = X3
| ~ sdtlseqdt0(sdtasdt0(X1,X2),sdtasdt0(X1,X3))
| ~ sdtlseqdt0(X3,X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2) ),
inference(csr,[status(thm)],[20391,183]) ).
cnf(20393,plain,
( sz00 = X1
| X2 = X3
| ~ sdtlseqdt0(sdtasdt0(X1,X2),sdtasdt0(X1,X3))
| ~ sdtlseqdt0(X3,X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2) ),
inference(csr,[status(thm)],[20392,69]) ).
cnf(24888,plain,
( sdtasdt0(xp,xq) = xn
| sz00 = xp
| ~ doDivides0(xp,xn)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xn) ),
inference(spm,[status(thm)],[761,118,theory(equality)]) ).
cnf(24985,plain,
( sdtasdt0(xp,xq) = xn
| sz00 = xp
| $false
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xn) ),
inference(rw,[status(thm)],[24888,234,theory(equality)]) ).
cnf(24986,plain,
( sdtasdt0(xp,xq) = xn
| sz00 = xp
| $false
| $false
| ~ aNaturalNumber0(xn) ),
inference(rw,[status(thm)],[24985,226,theory(equality)]) ).
cnf(24987,plain,
( sdtasdt0(xp,xq) = xn
| sz00 = xp
| $false
| $false
| $false ),
inference(rw,[status(thm)],[24986,228,theory(equality)]) ).
cnf(24988,plain,
( sdtasdt0(xp,xq) = xn
| sz00 = xp ),
inference(cn,[status(thm)],[24987,theory(equality)]) ).
cnf(24989,plain,
sdtasdt0(xp,xq) = xn,
inference(sr,[status(thm)],[24988,223,theory(equality)]) ).
cnf(28350,plain,
( sdtasdt0(sz10,sz10) = sz10
| ~ aNaturalNumber0(sz10) ),
inference(spm,[status(thm)],[240,5953,theory(equality)]) ).
cnf(28399,plain,
( sz00 = sz10
| sdtlseqdt0(X1,sdtasdt0(X1,sz10))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1) ),
inference(spm,[status(thm)],[339,5953,theory(equality)]) ).
cnf(28524,plain,
( sdtasdt0(sz10,sz10) = sz10
| $false ),
inference(rw,[status(thm)],[28350,159,theory(equality)]) ).
cnf(28525,plain,
sdtasdt0(sz10,sz10) = sz10,
inference(cn,[status(thm)],[28524,theory(equality)]) ).
cnf(28636,plain,
( sz00 = sz10
| sdtlseqdt0(X1,sdtasdt0(X1,sz10))
| $false
| ~ aNaturalNumber0(X1) ),
inference(rw,[status(thm)],[28399,159,theory(equality)]) ).
cnf(28637,plain,
( sz00 = sz10
| sdtlseqdt0(X1,sdtasdt0(X1,sz10))
| ~ aNaturalNumber0(X1) ),
inference(cn,[status(thm)],[28636,theory(equality)]) ).
cnf(28638,plain,
( sdtlseqdt0(X1,sdtasdt0(X1,sz10))
| ~ aNaturalNumber0(X1) ),
inference(sr,[status(thm)],[28637,158,theory(equality)]) ).
cnf(28987,plain,
( sdtasdt0(xm,xm) = xn
| $false
| xp != xn ),
inference(rw,[status(thm)],[11260,28525,theory(equality)]) ).
cnf(28988,plain,
( sdtasdt0(xm,xm) = xn
| xp != xn ),
inference(cn,[status(thm)],[28987,theory(equality)]) ).
cnf(30295,plain,
( sdtlseqdt0(X1,xn)
| xq != sdtasdt0(X1,sz10)
| ~ aNaturalNumber0(X1) ),
inference(spm,[status(thm)],[4366,28638,theory(equality)]) ).
cnf(31139,plain,
( sdtasdt0(xm,xm) = xm
| sdtasdt0(sdtasdt0(xm,xm),sz10) != xq
| ~ aNaturalNumber0(sdtasdt0(xm,xm)) ),
inference(spm,[status(thm)],[15123,30295,theory(equality)]) ).
cnf(31190,plain,
( sdtasdt0(xm,xm) = xm
| sdtasdt0(sdtasdt0(xm,xm),sz10) != xq
| $false ),
inference(rw,[status(thm)],[31139,14922,theory(equality)]) ).
cnf(31191,plain,
( sdtasdt0(xm,xm) = xm
| sdtasdt0(sdtasdt0(xm,xm),sz10) != xq ),
inference(cn,[status(thm)],[31190,theory(equality)]) ).
cnf(32158,plain,
( sdtasdt0(X1,X2) = sdtasdt0(X3,X2)
| sz00 = X2
| X1 = X3
| ~ sdtlseqdt0(sdtasdt0(X1,X2),sdtasdt0(X3,X2))
| ~ sdtlseqdt0(X3,X1)
| ~ aNaturalNumber0(sdtasdt0(X3,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X1) ),
inference(csr,[status(thm)],[826,183]) ).
cnf(32159,plain,
( sdtasdt0(X1,X2) = sdtasdt0(X3,X2)
| sz00 = X2
| X1 = X3
| ~ sdtlseqdt0(sdtasdt0(X1,X2),sdtasdt0(X3,X2))
| ~ sdtlseqdt0(X3,X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X1) ),
inference(csr,[status(thm)],[32158,183]) ).
cnf(32160,plain,
( sz00 = X2
| X1 = X3
| ~ sdtlseqdt0(sdtasdt0(X1,X2),sdtasdt0(X3,X2))
| ~ sdtlseqdt0(X3,X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X1) ),
inference(csr,[status(thm)],[32159,68]) ).
cnf(32264,plain,
( sz00 = xn
| xn = xp
| xn = sdtasdt0(xm,xm)
| ~ sdtlseqdt0(xp,xn)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xp)
| ~ sdtlseqdt0(sdtasdt0(xm,xm),xn) ),
inference(spm,[status(thm)],[32160,18188,theory(equality)]) ).
cnf(32518,plain,
( sz00 = xn
| xn = xp
| xn = sdtasdt0(xm,xm)
| $false
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xp)
| ~ sdtlseqdt0(sdtasdt0(xm,xm),xn) ),
inference(rw,[status(thm)],[32264,401,theory(equality)]) ).
cnf(32519,plain,
( sz00 = xn
| xn = xp
| xn = sdtasdt0(xm,xm)
| $false
| $false
| ~ aNaturalNumber0(xp)
| ~ sdtlseqdt0(sdtasdt0(xm,xm),xn) ),
inference(rw,[status(thm)],[32518,228,theory(equality)]) ).
cnf(32520,plain,
( sz00 = xn
| xn = xp
| xn = sdtasdt0(xm,xm)
| $false
| $false
| $false
| ~ sdtlseqdt0(sdtasdt0(xm,xm),xn) ),
inference(rw,[status(thm)],[32519,226,theory(equality)]) ).
cnf(32521,plain,
( sz00 = xn
| xn = xp
| xn = sdtasdt0(xm,xm)
| ~ sdtlseqdt0(sdtasdt0(xm,xm),xn) ),
inference(cn,[status(thm)],[32520,theory(equality)]) ).
cnf(32522,plain,
( xp = xn
| sdtasdt0(xm,xm) = xn
| ~ sdtlseqdt0(sdtasdt0(xm,xm),xn) ),
inference(sr,[status(thm)],[32521,225,theory(equality)]) ).
cnf(33023,plain,
( sdtasdt0(xm,xm) = xn
| ~ sdtlseqdt0(sdtasdt0(xm,xm),xn) ),
inference(csr,[status(thm)],[32522,28988]) ).
cnf(33028,plain,
( sdtasdt0(xm,xm) = xn
| xq != sdtasdt0(xm,xm) ),
inference(spm,[status(thm)],[33023,1778,theory(equality)]) ).
cnf(48837,plain,
( sdtlseqdt0(X1,sdtasdt0(X1,xn))
| ~ aNaturalNumber0(X1) ),
inference(spm,[status(thm)],[14493,240,theory(equality)]) ).
cnf(49036,plain,
( sdtlseqdt0(X1,xn)
| xq != sdtasdt0(X1,xn)
| ~ aNaturalNumber0(X1) ),
inference(spm,[status(thm)],[4366,48837,theory(equality)]) ).
cnf(52603,plain,
( xm = xn
| sdtasdt0(xm,xn) != xq
| ~ aNaturalNumber0(xm) ),
inference(spm,[status(thm)],[366,49036,theory(equality)]) ).
cnf(52627,plain,
( xm = xn
| sdtasdt0(xm,xn) != xq
| $false ),
inference(rw,[status(thm)],[52603,227,theory(equality)]) ).
cnf(52628,plain,
( xm = xn
| sdtasdt0(xm,xn) != xq ),
inference(cn,[status(thm)],[52627,theory(equality)]) ).
cnf(52691,plain,
( sdtlseqdt0(xn,sdtasdt0(xm,xm))
| ~ aNaturalNumber0(xq) ),
inference(rw,[status(thm)],[8224,24989,theory(equality)]) ).
cnf(52692,plain,
( sdtlseqdt0(xn,sdtasdt0(xm,xm))
| $false ),
inference(rw,[status(thm)],[52691,14886,theory(equality)]) ).
cnf(52693,plain,
sdtlseqdt0(xn,sdtasdt0(xm,xm)),
inference(cn,[status(thm)],[52692,theory(equality)]) ).
cnf(52702,plain,
( sz00 = xn
| sdtasdt0(xm,xm) != sz00
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtasdt0(xm,xm)) ),
inference(spm,[status(thm)],[2917,52693,theory(equality)]) ).
cnf(52736,plain,
( sz00 = xn
| sdtasdt0(xm,xm) != sz00
| $false
| ~ aNaturalNumber0(sdtasdt0(xm,xm)) ),
inference(rw,[status(thm)],[52702,228,theory(equality)]) ).
cnf(52737,plain,
( sz00 = xn
| sdtasdt0(xm,xm) != sz00
| $false
| $false ),
inference(rw,[status(thm)],[52736,14922,theory(equality)]) ).
cnf(52738,plain,
( sz00 = xn
| sdtasdt0(xm,xm) != sz00 ),
inference(cn,[status(thm)],[52737,theory(equality)]) ).
cnf(52739,plain,
sdtasdt0(xm,xm) != sz00,
inference(sr,[status(thm)],[52738,225,theory(equality)]) ).
cnf(61443,plain,
( sdtsldt0(sdtasdt0(X1,X2),X1) = X2
| sz00 = X1
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(csr,[status(thm)],[976,183]) ).
cnf(61449,plain,
( sdtsldt0(xn,sz10) = xn
| sz00 = sz10
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sz10) ),
inference(spm,[status(thm)],[61443,14326,theory(equality)]) ).
cnf(61528,plain,
( sdtsldt0(xn,sz10) = xn
| sz00 = sz10
| $false
| ~ aNaturalNumber0(sz10) ),
inference(rw,[status(thm)],[61449,228,theory(equality)]) ).
cnf(61529,plain,
( sdtsldt0(xn,sz10) = xn
| sz00 = sz10
| $false
| $false ),
inference(rw,[status(thm)],[61528,159,theory(equality)]) ).
cnf(61530,plain,
( sdtsldt0(xn,sz10) = xn
| sz00 = sz10 ),
inference(cn,[status(thm)],[61529,theory(equality)]) ).
cnf(61531,plain,
sdtsldt0(xn,sz10) = xn,
inference(sr,[status(thm)],[61530,158,theory(equality)]) ).
cnf(61651,plain,
( sz00 = sz10
| aNaturalNumber0(X1)
| xn != X1
| ~ doDivides0(sz10,xn)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xn) ),
inference(spm,[status(thm)],[149,61531,theory(equality)]) ).
cnf(61652,plain,
( sdtasdt0(sz10,X1) = xn
| sz00 = sz10
| xn != X1
| ~ doDivides0(sz10,xn)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xn) ),
inference(spm,[status(thm)],[148,61531,theory(equality)]) ).
cnf(61655,plain,
( sz00 = sz10
| aNaturalNumber0(X1)
| xn != X1
| $false
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xn) ),
inference(rw,[status(thm)],[61651,2371,theory(equality)]) ).
cnf(61656,plain,
( sz00 = sz10
| aNaturalNumber0(X1)
| xn != X1
| $false
| $false
| ~ aNaturalNumber0(xn) ),
inference(rw,[status(thm)],[61655,159,theory(equality)]) ).
cnf(61657,plain,
( sz00 = sz10
| aNaturalNumber0(X1)
| xn != X1
| $false
| $false
| $false ),
inference(rw,[status(thm)],[61656,228,theory(equality)]) ).
cnf(61658,plain,
( sz00 = sz10
| aNaturalNumber0(X1)
| xn != X1 ),
inference(cn,[status(thm)],[61657,theory(equality)]) ).
cnf(61659,plain,
( aNaturalNumber0(X1)
| xn != X1 ),
inference(sr,[status(thm)],[61658,158,theory(equality)]) ).
cnf(61660,plain,
( sdtasdt0(sz10,X1) = xn
| sz00 = sz10
| xn != X1
| $false
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xn) ),
inference(rw,[status(thm)],[61652,2371,theory(equality)]) ).
cnf(61661,plain,
( sdtasdt0(sz10,X1) = xn
| sz00 = sz10
| xn != X1
| $false
| $false
| ~ aNaturalNumber0(xn) ),
inference(rw,[status(thm)],[61660,159,theory(equality)]) ).
cnf(61662,plain,
( sdtasdt0(sz10,X1) = xn
| sz00 = sz10
| xn != X1
| $false
| $false
| $false ),
inference(rw,[status(thm)],[61661,228,theory(equality)]) ).
cnf(61663,plain,
( sdtasdt0(sz10,X1) = xn
| sz00 = sz10
| xn != X1 ),
inference(cn,[status(thm)],[61662,theory(equality)]) ).
cnf(61664,plain,
( sdtasdt0(sz10,X1) = xn
| xn != X1 ),
inference(sr,[status(thm)],[61663,158,theory(equality)]) ).
cnf(61683,plain,
( xn = sdtasdt0(X1,sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(sz10)
| xn != X1 ),
inference(spm,[status(thm)],[218,61664,theory(equality)]) ).
cnf(61912,plain,
( xn = sdtasdt0(X1,sz10)
| ~ aNaturalNumber0(X1)
| $false
| xn != X1 ),
inference(rw,[status(thm)],[61683,159,theory(equality)]) ).
cnf(61913,plain,
( xn = sdtasdt0(X1,sz10)
| ~ aNaturalNumber0(X1)
| xn != X1 ),
inference(cn,[status(thm)],[61912,theory(equality)]) ).
cnf(69059,plain,
( sdtasdt0(xm,xm) = xm
| sdtasdt0(xm,sdtasdt0(xm,sz10)) != xq
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xm) ),
inference(spm,[status(thm)],[31191,165,theory(equality)]) ).
cnf(69080,plain,
( sdtasdt0(xm,xm) = xm
| sdtasdt0(xm,sdtasdt0(xm,sz10)) != xq
| $false
| ~ aNaturalNumber0(xm) ),
inference(rw,[status(thm)],[69059,159,theory(equality)]) ).
cnf(69081,plain,
( sdtasdt0(xm,xm) = xm
| sdtasdt0(xm,sdtasdt0(xm,sz10)) != xq
| $false
| $false ),
inference(rw,[status(thm)],[69080,227,theory(equality)]) ).
cnf(69082,plain,
( sdtasdt0(xm,xm) = xm
| sdtasdt0(xm,sdtasdt0(xm,sz10)) != xq ),
inference(cn,[status(thm)],[69081,theory(equality)]) ).
cnf(69563,plain,
( sdtasdt0(xp,sdtsldt0(sdtasdt0(xm,xm),X1)) = sdtsldt0(sdtasdt0(xn,xn),X1)
| sz00 = X1
| ~ doDivides0(X1,sdtasdt0(xm,xm))
| ~ aNaturalNumber0(X1)
| $false ),
inference(rw,[status(thm)],[1075,14922,theory(equality)]) ).
cnf(69564,plain,
( sdtasdt0(xp,sdtsldt0(sdtasdt0(xm,xm),X1)) = sdtsldt0(sdtasdt0(xn,xn),X1)
| sz00 = X1
| ~ doDivides0(X1,sdtasdt0(xm,xm))
| ~ aNaturalNumber0(X1) ),
inference(cn,[status(thm)],[69563,theory(equality)]) ).
cnf(70864,plain,
( sdtasdt0(sz10,xq) = xq
| sz00 = xp
| ~ doDivides0(xp,xn)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xn) ),
inference(spm,[status(thm)],[1081,118,theory(equality)]) ).
cnf(71007,plain,
( sdtasdt0(sz10,xq) = xq
| sz00 = xp
| $false
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xn) ),
inference(rw,[status(thm)],[70864,234,theory(equality)]) ).
cnf(71008,plain,
( sdtasdt0(sz10,xq) = xq
| sz00 = xp
| $false
| $false
| ~ aNaturalNumber0(xn) ),
inference(rw,[status(thm)],[71007,226,theory(equality)]) ).
cnf(71009,plain,
( sdtasdt0(sz10,xq) = xq
| sz00 = xp
| $false
| $false
| $false ),
inference(rw,[status(thm)],[71008,228,theory(equality)]) ).
cnf(71010,plain,
( sdtasdt0(sz10,xq) = xq
| sz00 = xp ),
inference(cn,[status(thm)],[71009,theory(equality)]) ).
cnf(71011,plain,
sdtasdt0(sz10,xq) = xq,
inference(sr,[status(thm)],[71010,223,theory(equality)]) ).
cnf(71321,plain,
( doDivides0(sz10,xq)
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sz10) ),
inference(spm,[status(thm)],[3766,71011,theory(equality)]) ).
cnf(71417,plain,
( sdtsldt0(xq,sz10) = xq
| sz00 = sz10
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sz10) ),
inference(spm,[status(thm)],[61443,71011,theory(equality)]) ).
cnf(71511,plain,
( doDivides0(sz10,xq)
| $false
| ~ aNaturalNumber0(sz10) ),
inference(rw,[status(thm)],[71321,14886,theory(equality)]) ).
cnf(71512,plain,
( doDivides0(sz10,xq)
| $false
| $false ),
inference(rw,[status(thm)],[71511,159,theory(equality)]) ).
cnf(71513,plain,
doDivides0(sz10,xq),
inference(cn,[status(thm)],[71512,theory(equality)]) ).
cnf(71811,plain,
( sdtsldt0(xq,sz10) = xq
| sz00 = sz10
| $false
| ~ aNaturalNumber0(sz10) ),
inference(rw,[status(thm)],[71417,14886,theory(equality)]) ).
cnf(71812,plain,
( sdtsldt0(xq,sz10) = xq
| sz00 = sz10
| $false
| $false ),
inference(rw,[status(thm)],[71811,159,theory(equality)]) ).
cnf(71813,plain,
( sdtsldt0(xq,sz10) = xq
| sz00 = sz10 ),
inference(cn,[status(thm)],[71812,theory(equality)]) ).
cnf(71814,plain,
sdtsldt0(xq,sz10) = xq,
inference(sr,[status(thm)],[71813,158,theory(equality)]) ).
cnf(72626,plain,
( sdtasdt0(sz10,X1) = xq
| sz00 = sz10
| xq != X1
| ~ doDivides0(sz10,xq)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xq) ),
inference(spm,[status(thm)],[148,71814,theory(equality)]) ).
cnf(72639,plain,
( sdtasdt0(sz10,X1) = xq
| sz00 = sz10
| xq != X1
| $false
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xq) ),
inference(rw,[status(thm)],[72626,71513,theory(equality)]) ).
cnf(72640,plain,
( sdtasdt0(sz10,X1) = xq
| sz00 = sz10
| xq != X1
| $false
| $false
| ~ aNaturalNumber0(xq) ),
inference(rw,[status(thm)],[72639,159,theory(equality)]) ).
cnf(72641,plain,
( sdtasdt0(sz10,X1) = xq
| sz00 = sz10
| xq != X1
| $false
| $false
| $false ),
inference(rw,[status(thm)],[72640,14886,theory(equality)]) ).
cnf(72642,plain,
( sdtasdt0(sz10,X1) = xq
| sz00 = sz10
| xq != X1 ),
inference(cn,[status(thm)],[72641,theory(equality)]) ).
cnf(72643,plain,
( sdtasdt0(sz10,X1) = xq
| xq != X1 ),
inference(sr,[status(thm)],[72642,158,theory(equality)]) ).
cnf(73166,plain,
( xq = xn
| xn != X1
| xq != X1 ),
inference(spm,[status(thm)],[61664,72643,theory(equality)]) ).
cnf(73674,plain,
( xn != X1
| xq != X1 ),
inference(sr,[status(thm)],[73166,11238,theory(equality)]) ).
cnf(75046,plain,
( sdtasdt0(xm,xm) = xm
| sdtasdt0(xm,sdtasdt0(sz10,xm)) != xq
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xm) ),
inference(spm,[status(thm)],[69082,218,theory(equality)]) ).
cnf(75054,plain,
( sdtasdt0(xm,xm) = xm
| sdtasdt0(xm,sdtasdt0(sz10,xm)) != xq
| $false
| ~ aNaturalNumber0(xm) ),
inference(rw,[status(thm)],[75046,159,theory(equality)]) ).
cnf(75055,plain,
( sdtasdt0(xm,xm) = xm
| sdtasdt0(xm,sdtasdt0(sz10,xm)) != xq
| $false
| $false ),
inference(rw,[status(thm)],[75054,227,theory(equality)]) ).
cnf(75056,plain,
( sdtasdt0(xm,xm) = xm
| sdtasdt0(xm,sdtasdt0(sz10,xm)) != xq ),
inference(cn,[status(thm)],[75055,theory(equality)]) ).
cnf(75230,plain,
( sdtasdt0(xm,xm) = xm
| sdtasdt0(xm,xn) != xq
| xn != xm ),
inference(spm,[status(thm)],[75056,61664,theory(equality)]) ).
cnf(75583,plain,
( sdtasdt0(xm,xm) = xm
| sdtasdt0(xm,xn) != xq ),
inference(csr,[status(thm)],[75230,52628]) ).
cnf(75693,plain,
( xm = xn
| xm != xq
| sdtasdt0(xm,xn) != xq ),
inference(spm,[status(thm)],[33028,75583,theory(equality)]) ).
cnf(77006,plain,
( xm = xn
| xq != xm ),
inference(csr,[status(thm)],[75693,1781]) ).
cnf(77007,plain,
xq != xm,
inference(csr,[status(thm)],[77006,73674]) ).
cnf(78967,plain,
( sdtasdt0(xp,sdtasdt0(X1,X2)) = sdtasdt0(xn,X2)
| xq != X1
| ~ aNaturalNumber0(X2) ),
inference(csr,[status(thm)],[1228,651]) ).
cnf(78970,plain,
( sdtasdt0(xn,xq) = sdtasdt0(xm,xm)
| ~ aNaturalNumber0(xq) ),
inference(spm,[status(thm)],[196,78967,theory(equality)]) ).
cnf(79022,plain,
( sdtasdt0(xp,xn) = sdtasdt0(xn,xp)
| xq != X1
| ~ aNaturalNumber0(xp) ),
inference(spm,[status(thm)],[78967,1690,theory(equality)]) ).
cnf(79238,plain,
( sdtasdt0(xn,xq) = sdtasdt0(xm,xm)
| $false ),
inference(rw,[status(thm)],[78970,14886,theory(equality)]) ).
cnf(79239,plain,
sdtasdt0(xn,xq) = sdtasdt0(xm,xm),
inference(cn,[status(thm)],[79238,theory(equality)]) ).
cnf(79348,plain,
( sdtasdt0(xp,xn) = sdtasdt0(xn,xp)
| xq != X1
| $false ),
inference(rw,[status(thm)],[79022,226,theory(equality)]) ).
cnf(79349,plain,
( sdtasdt0(xp,xn) = sdtasdt0(xn,xp)
| xq != X1 ),
inference(cn,[status(thm)],[79348,theory(equality)]) ).
cnf(79727,plain,
( doDivides0(xm,sdtasdt0(xn,xq))
| ~ aNaturalNumber0(xm) ),
inference(spm,[status(thm)],[3766,79239,theory(equality)]) ).
cnf(79731,plain,
( sdtasdt0(sz00,sdtasdt0(xn,xq)) = sdtasdt0(sz00,xm)
| ~ aNaturalNumber0(xm) ),
inference(spm,[status(thm)],[549,79239,theory(equality)]) ).
cnf(79815,plain,
( sdtsldt0(sdtasdt0(xn,xq),xm) = xm
| sz00 = xm
| ~ aNaturalNumber0(xm) ),
inference(spm,[status(thm)],[61443,79239,theory(equality)]) ).
cnf(79833,plain,
aNaturalNumber0(sdtasdt0(xn,xq)),
inference(rw,[status(thm)],[14922,79239,theory(equality)]) ).
cnf(79837,plain,
sdtasdt0(xp,sdtasdt0(xn,xq)) = sdtasdt0(xn,xn),
inference(rw,[status(thm)],[103,79239,theory(equality)]) ).
cnf(79842,plain,
sdtasdt0(xn,xq) != sz00,
inference(rw,[status(thm)],[52739,79239,theory(equality)]) ).
cnf(79855,plain,
( sdtasdt0(xp,sdtsldt0(sdtasdt0(xn,xq),X1)) = sdtsldt0(sdtasdt0(xn,xn),X1)
| sz00 = X1
| ~ doDivides0(X1,sdtasdt0(xm,xm))
| ~ aNaturalNumber0(X1) ),
inference(rw,[status(thm)],[69564,79239,theory(equality)]) ).
cnf(79856,plain,
( sdtasdt0(xp,sdtsldt0(sdtasdt0(xn,xq),X1)) = sdtsldt0(sdtasdt0(xn,xn),X1)
| sz00 = X1
| ~ doDivides0(X1,sdtasdt0(xn,xq))
| ~ aNaturalNumber0(X1) ),
inference(rw,[status(thm)],[79855,79239,theory(equality)]) ).
cnf(79955,plain,
( sdtasdt0(xn,xq) = sz00
| sdtasdt0(xm,xm) != sdtasdt0(xn,xn) ),
inference(rw,[status(thm)],[15353,79239,theory(equality)]) ).
cnf(79956,plain,
( sdtasdt0(xn,xq) = sz00
| sdtasdt0(xn,xq) != sdtasdt0(xn,xn) ),
inference(rw,[status(thm)],[79955,79239,theory(equality)]) ).
cnf(80071,plain,
( doDivides0(xm,sdtasdt0(xn,xq))
| $false ),
inference(rw,[status(thm)],[79727,227,theory(equality)]) ).
cnf(80072,plain,
doDivides0(xm,sdtasdt0(xn,xq)),
inference(cn,[status(thm)],[80071,theory(equality)]) ).
cnf(80079,plain,
( sdtasdt0(sz00,sdtasdt0(xn,xq)) = sdtasdt0(sz00,xm)
| $false ),
inference(rw,[status(thm)],[79731,227,theory(equality)]) ).
cnf(80080,plain,
sdtasdt0(sz00,sdtasdt0(xn,xq)) = sdtasdt0(sz00,xm),
inference(cn,[status(thm)],[80079,theory(equality)]) ).
cnf(80281,plain,
( sdtsldt0(sdtasdt0(xn,xq),xm) = xm
| sz00 = xm
| $false ),
inference(rw,[status(thm)],[79815,227,theory(equality)]) ).
cnf(80282,plain,
( sdtsldt0(sdtasdt0(xn,xq),xm) = xm
| sz00 = xm ),
inference(cn,[status(thm)],[80281,theory(equality)]) ).
cnf(80283,plain,
sdtsldt0(sdtasdt0(xn,xq),xm) = xm,
inference(sr,[status(thm)],[80282,224,theory(equality)]) ).
cnf(80599,plain,
( sdtasdt0(sz00,sdtasdt0(xn,xn)) = sdtasdt0(sz00,sdtasdt0(xn,xq))
| ~ aNaturalNumber0(sdtasdt0(xn,xq))
| ~ aNaturalNumber0(xp) ),
inference(spm,[status(thm)],[549,79837,theory(equality)]) ).
cnf(80813,plain,
( sz00 = sdtasdt0(sz00,sdtasdt0(xn,xq))
| ~ aNaturalNumber0(sdtasdt0(xn,xq))
| ~ aNaturalNumber0(xp) ),
inference(rw,[status(thm)],[80599,15844,theory(equality)]) ).
cnf(80814,plain,
( sz00 = sdtasdt0(sz00,sdtasdt0(xn,xq))
| $false
| ~ aNaturalNumber0(xp) ),
inference(rw,[status(thm)],[80813,79833,theory(equality)]) ).
cnf(80815,plain,
( sz00 = sdtasdt0(sz00,sdtasdt0(xn,xq))
| $false
| $false ),
inference(rw,[status(thm)],[80814,226,theory(equality)]) ).
cnf(80816,plain,
sz00 = sdtasdt0(sz00,sdtasdt0(xn,xq)),
inference(cn,[status(thm)],[80815,theory(equality)]) ).
cnf(85714,plain,
sdtasdt0(xn,xq) != sdtasdt0(xn,xn),
inference(sr,[status(thm)],[79956,79842,theory(equality)]) ).
cnf(88785,plain,
sz00 = sdtasdt0(sz00,xm),
inference(rw,[status(thm)],[80080,80816,theory(equality)]) ).
cnf(88803,plain,
( doDivides0(xm,sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm) ),
inference(spm,[status(thm)],[3773,88785,theory(equality)]) ).
cnf(88969,plain,
( doDivides0(xm,sz00)
| $false
| ~ aNaturalNumber0(xm) ),
inference(rw,[status(thm)],[88803,197,theory(equality)]) ).
cnf(88970,plain,
( doDivides0(xm,sz00)
| $false
| $false ),
inference(rw,[status(thm)],[88969,227,theory(equality)]) ).
cnf(88971,plain,
doDivides0(xm,sz00),
inference(cn,[status(thm)],[88970,theory(equality)]) ).
cnf(89777,plain,
( sdtasdt0(xm,X1) = sdtasdt0(xn,xq)
| sz00 = xm
| xm != X1
| ~ doDivides0(xm,sdtasdt0(xn,xq))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtasdt0(xn,xq)) ),
inference(spm,[status(thm)],[148,80283,theory(equality)]) ).
cnf(89785,plain,
( sdtasdt0(sz00,xm) = sdtsldt0(sz00,xm)
| sz00 = xm
| ~ doDivides0(xm,sdtasdt0(xn,xq))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtasdt0(xn,xq)) ),
inference(spm,[status(thm)],[1085,80283,theory(equality)]) ).
cnf(89790,plain,
( sdtasdt0(xp,xm) = sdtsldt0(sdtasdt0(xn,xn),xm)
| sz00 = xm
| ~ doDivides0(xm,sdtasdt0(xn,xq))
| ~ aNaturalNumber0(xm) ),
inference(spm,[status(thm)],[79856,80283,theory(equality)]) ).
cnf(89796,plain,
( sdtasdt0(xm,X1) = sdtasdt0(xn,xq)
| sz00 = xm
| xm != X1
| $false
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtasdt0(xn,xq)) ),
inference(rw,[status(thm)],[89777,80072,theory(equality)]) ).
cnf(89797,plain,
( sdtasdt0(xm,X1) = sdtasdt0(xn,xq)
| sz00 = xm
| xm != X1
| $false
| $false
| ~ aNaturalNumber0(sdtasdt0(xn,xq)) ),
inference(rw,[status(thm)],[89796,227,theory(equality)]) ).
cnf(89798,plain,
( sdtasdt0(xm,X1) = sdtasdt0(xn,xq)
| sz00 = xm
| xm != X1
| $false
| $false
| $false ),
inference(rw,[status(thm)],[89797,79833,theory(equality)]) ).
cnf(89799,plain,
( sdtasdt0(xm,X1) = sdtasdt0(xn,xq)
| sz00 = xm
| xm != X1 ),
inference(cn,[status(thm)],[89798,theory(equality)]) ).
cnf(89800,plain,
( sdtasdt0(xm,X1) = sdtasdt0(xn,xq)
| xm != X1 ),
inference(sr,[status(thm)],[89799,224,theory(equality)]) ).
cnf(89824,plain,
( sz00 = sdtsldt0(sz00,xm)
| sz00 = xm
| ~ doDivides0(xm,sdtasdt0(xn,xq))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtasdt0(xn,xq)) ),
inference(rw,[status(thm)],[89785,88785,theory(equality)]) ).
cnf(89825,plain,
( sz00 = sdtsldt0(sz00,xm)
| sz00 = xm
| $false
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtasdt0(xn,xq)) ),
inference(rw,[status(thm)],[89824,80072,theory(equality)]) ).
cnf(89826,plain,
( sz00 = sdtsldt0(sz00,xm)
| sz00 = xm
| $false
| $false
| ~ aNaturalNumber0(sdtasdt0(xn,xq)) ),
inference(rw,[status(thm)],[89825,227,theory(equality)]) ).
cnf(89827,plain,
( sz00 = sdtsldt0(sz00,xm)
| sz00 = xm
| $false
| $false
| $false ),
inference(rw,[status(thm)],[89826,79833,theory(equality)]) ).
cnf(89828,plain,
( sz00 = sdtsldt0(sz00,xm)
| sz00 = xm ),
inference(cn,[status(thm)],[89827,theory(equality)]) ).
cnf(89829,plain,
sdtsldt0(sz00,xm) = sz00,
inference(sr,[status(thm)],[89828,224,theory(equality)]) ).
cnf(89845,plain,
( sdtasdt0(xp,xm) = sdtsldt0(sdtasdt0(xn,xn),xm)
| sz00 = xm
| $false
| ~ aNaturalNumber0(xm) ),
inference(rw,[status(thm)],[89790,80072,theory(equality)]) ).
cnf(89846,plain,
( sdtasdt0(xp,xm) = sdtsldt0(sdtasdt0(xn,xn),xm)
| sz00 = xm
| $false
| $false ),
inference(rw,[status(thm)],[89845,227,theory(equality)]) ).
cnf(89847,plain,
( sdtasdt0(xp,xm) = sdtsldt0(sdtasdt0(xn,xn),xm)
| sz00 = xm ),
inference(cn,[status(thm)],[89846,theory(equality)]) ).
cnf(89848,plain,
sdtsldt0(sdtasdt0(xn,xn),xm) = sdtasdt0(xp,xm),
inference(sr,[status(thm)],[89847,224,theory(equality)]) ).
cnf(93078,plain,
( sdtasdt0(xm,X1) = sz00
| sz00 = xm
| sz00 != X1
| ~ doDivides0(xm,sz00)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sz00) ),
inference(spm,[status(thm)],[148,89829,theory(equality)]) ).
cnf(93091,plain,
( sdtasdt0(xm,X1) = sz00
| sz00 = xm
| sz00 != X1
| $false
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sz00) ),
inference(rw,[status(thm)],[93078,88971,theory(equality)]) ).
cnf(93092,plain,
( sdtasdt0(xm,X1) = sz00
| sz00 = xm
| sz00 != X1
| $false
| $false
| ~ aNaturalNumber0(sz00) ),
inference(rw,[status(thm)],[93091,227,theory(equality)]) ).
cnf(93093,plain,
( sdtasdt0(xm,X1) = sz00
| sz00 = xm
| sz00 != X1
| $false
| $false
| $false ),
inference(rw,[status(thm)],[93092,197,theory(equality)]) ).
cnf(93094,plain,
( sdtasdt0(xm,X1) = sz00
| sz00 = xm
| sz00 != X1 ),
inference(cn,[status(thm)],[93093,theory(equality)]) ).
cnf(93095,plain,
( sdtasdt0(xm,X1) = sz00
| sz00 != X1 ),
inference(sr,[status(thm)],[93094,224,theory(equality)]) ).
cnf(93572,plain,
( sz00 = sdtasdt0(xn,xn)
| sz00 != sdtasdt0(xm,xp) ),
inference(spm,[status(thm)],[7215,93095,theory(equality)]) ).
cnf(93830,plain,
sdtasdt0(xm,xp) != sz00,
inference(sr,[status(thm)],[93572,3240,theory(equality)]) ).
cnf(95809,plain,
( sdtasdt0(xn,xq) = sdtasdt0(xn,xn)
| xm != sdtasdt0(xp,xm) ),
inference(spm,[status(thm)],[7212,89800,theory(equality)]) ).
cnf(96077,plain,
sdtasdt0(xp,xm) != xm,
inference(sr,[status(thm)],[95809,85714,theory(equality)]) ).
cnf(111634,plain,
sdtasdt0(xp,xn) = sdtasdt0(xn,xp),
inference(er,[status(thm)],[79349,theory(equality)]) ).
cnf(111636,plain,
( aNaturalNumber0(sdtasdt0(xn,xp))
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xp) ),
inference(spm,[status(thm)],[183,111634,theory(equality)]) ).
cnf(111660,plain,
( doDivides0(xp,sdtasdt0(xn,xp))
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xp) ),
inference(spm,[status(thm)],[3766,111634,theory(equality)]) ).
cnf(111676,plain,
( sz10 = xp
| sz00 = xn
| sdtasdt0(xn,xp) != xn
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xn) ),
inference(spm,[status(thm)],[584,111634,theory(equality)]) ).
cnf(111760,plain,
( sdtsldt0(sdtasdt0(xn,xp),xp) = xn
| sz00 = xp
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xp) ),
inference(spm,[status(thm)],[61443,111634,theory(equality)]) ).
cnf(111803,plain,
( aNaturalNumber0(sdtasdt0(xn,xp))
| $false
| ~ aNaturalNumber0(xp) ),
inference(rw,[status(thm)],[111636,228,theory(equality)]) ).
cnf(111804,plain,
( aNaturalNumber0(sdtasdt0(xn,xp))
| $false
| $false ),
inference(rw,[status(thm)],[111803,226,theory(equality)]) ).
cnf(111805,plain,
aNaturalNumber0(sdtasdt0(xn,xp)),
inference(cn,[status(thm)],[111804,theory(equality)]) ).
cnf(111887,plain,
( doDivides0(xp,sdtasdt0(xn,xp))
| $false
| ~ aNaturalNumber0(xp) ),
inference(rw,[status(thm)],[111660,228,theory(equality)]) ).
cnf(111888,plain,
( doDivides0(xp,sdtasdt0(xn,xp))
| $false
| $false ),
inference(rw,[status(thm)],[111887,226,theory(equality)]) ).
cnf(111889,plain,
doDivides0(xp,sdtasdt0(xn,xp)),
inference(cn,[status(thm)],[111888,theory(equality)]) ).
cnf(111938,plain,
( sz10 = xp
| sz00 = xn
| sdtasdt0(xn,xp) != xn
| $false
| ~ aNaturalNumber0(xn) ),
inference(rw,[status(thm)],[111676,226,theory(equality)]) ).
cnf(111939,plain,
( sz10 = xp
| sz00 = xn
| sdtasdt0(xn,xp) != xn
| $false
| $false ),
inference(rw,[status(thm)],[111938,228,theory(equality)]) ).
cnf(111940,plain,
( sz10 = xp
| sz00 = xn
| sdtasdt0(xn,xp) != xn ),
inference(cn,[status(thm)],[111939,theory(equality)]) ).
cnf(111941,plain,
( xn = sz00
| sdtasdt0(xn,xp) != xn ),
inference(sr,[status(thm)],[111940,247,theory(equality)]) ).
cnf(111942,plain,
sdtasdt0(xn,xp) != xn,
inference(sr,[status(thm)],[111941,225,theory(equality)]) ).
cnf(112220,plain,
( sdtsldt0(sdtasdt0(xn,xp),xp) = xn
| sz00 = xp
| $false
| ~ aNaturalNumber0(xp) ),
inference(rw,[status(thm)],[111760,228,theory(equality)]) ).
cnf(112221,plain,
( sdtsldt0(sdtasdt0(xn,xp),xp) = xn
| sz00 = xp
| $false
| $false ),
inference(rw,[status(thm)],[112220,226,theory(equality)]) ).
cnf(112222,plain,
( sdtsldt0(sdtasdt0(xn,xp),xp) = xn
| sz00 = xp ),
inference(cn,[status(thm)],[112221,theory(equality)]) ).
cnf(112223,plain,
sdtsldt0(sdtasdt0(xn,xp),xp) = xn,
inference(sr,[status(thm)],[112222,223,theory(equality)]) ).
cnf(115540,plain,
( X1 = X2
| sdtlseqdt0(xn,sdtasdt0(X1,xp))
| xq != X2
| ~ sdtlseqdt0(X2,X1)
| ~ aNaturalNumber0(X1) ),
inference(csr,[status(thm)],[1757,651]) ).
cnf(120093,plain,
( sdtasdt0(X1,sdtsldt0(xp,X2)) = sdtsldt0(xn,X2)
| sz00 = X2
| xq != X1
| ~ doDivides0(X2,xp)
| ~ aNaturalNumber0(X2) ),
inference(csr,[status(thm)],[1774,651]) ).
cnf(120276,plain,
( sdtasdt0(X1,sz10) = sdtsldt0(xn,xp)
| sz00 = xp
| xq != X1
| ~ doDivides0(xp,xp)
| ~ aNaturalNumber0(xp) ),
inference(spm,[status(thm)],[120093,994,theory(equality)]) ).
cnf(120358,plain,
( sdtasdt0(X1,sz10) = xq
| sz00 = xp
| xq != X1
| ~ doDivides0(xp,xp)
| ~ aNaturalNumber0(xp) ),
inference(rw,[status(thm)],[120276,118,theory(equality)]) ).
cnf(120359,plain,
( sdtasdt0(X1,sz10) = xq
| sz00 = xp
| xq != X1
| $false
| ~ aNaturalNumber0(xp) ),
inference(rw,[status(thm)],[120358,4111,theory(equality)]) ).
cnf(120360,plain,
( sdtasdt0(X1,sz10) = xq
| sz00 = xp
| xq != X1
| $false
| $false ),
inference(rw,[status(thm)],[120359,226,theory(equality)]) ).
cnf(120361,plain,
( sdtasdt0(X1,sz10) = xq
| sz00 = xp
| xq != X1 ),
inference(cn,[status(thm)],[120360,theory(equality)]) ).
cnf(120362,plain,
( sdtasdt0(X1,sz10) = xq
| xq != X1 ),
inference(sr,[status(thm)],[120361,223,theory(equality)]) ).
cnf(120433,plain,
( sdtlseqdt0(X1,xm)
| ~ sdtlseqdt0(X1,xq)
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(X1) ),
inference(spm,[status(thm)],[1808,14914,theory(equality)]) ).
cnf(120490,plain,
( sdtlseqdt0(X1,xm)
| ~ sdtlseqdt0(X1,xq)
| $false
| ~ aNaturalNumber0(X1) ),
inference(rw,[status(thm)],[120433,14886,theory(equality)]) ).
cnf(120491,plain,
( sdtlseqdt0(X1,xm)
| ~ sdtlseqdt0(X1,xq)
| ~ aNaturalNumber0(X1) ),
inference(cn,[status(thm)],[120490,theory(equality)]) ).
cnf(121801,plain,
( sdtasdt0(xp,xq) = sdtasdt0(xn,sz10)
| xq != X1
| ~ aNaturalNumber0(sz10) ),
inference(spm,[status(thm)],[78967,120362,theory(equality)]) ).
cnf(122303,plain,
( xn = sdtasdt0(xn,sz10)
| xq != X1
| ~ aNaturalNumber0(sz10) ),
inference(rw,[status(thm)],[121801,24989,theory(equality)]) ).
cnf(122304,plain,
( xn = sdtasdt0(xn,sz10)
| xq != X1
| $false ),
inference(rw,[status(thm)],[122303,159,theory(equality)]) ).
cnf(122305,plain,
( xn = sdtasdt0(xn,sz10)
| xq != X1 ),
inference(cn,[status(thm)],[122304,theory(equality)]) ).
cnf(122451,plain,
sdtasdt0(xn,sz10) = xn,
inference(er,[status(thm)],[122305,theory(equality)]) ).
cnf(122582,plain,
( sdtsldt0(xn,xn) = sz10
| sz00 = xn
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xn) ),
inference(spm,[status(thm)],[61443,122451,theory(equality)]) ).
cnf(123042,plain,
( sdtsldt0(xn,xn) = sz10
| sz00 = xn
| $false
| ~ aNaturalNumber0(xn) ),
inference(rw,[status(thm)],[122582,159,theory(equality)]) ).
cnf(123043,plain,
( sdtsldt0(xn,xn) = sz10
| sz00 = xn
| $false
| $false ),
inference(rw,[status(thm)],[123042,228,theory(equality)]) ).
cnf(123044,plain,
( sdtsldt0(xn,xn) = sz10
| sz00 = xn ),
inference(cn,[status(thm)],[123043,theory(equality)]) ).
cnf(123045,plain,
sdtsldt0(xn,xn) = sz10,
inference(sr,[status(thm)],[123044,225,theory(equality)]) ).
cnf(124559,plain,
( sdtasdt0(X1,X2) = X2
| sz00 = X1
| ~ sdtlseqdt0(sdtasdt0(X1,X2),X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(csr,[status(thm)],[2031,183]) ).
cnf(131853,plain,
( sdtlseqdt0(xq,xm)
| ~ aNaturalNumber0(xq) ),
inference(spm,[status(thm)],[120491,1688,theory(equality)]) ).
cnf(131881,plain,
( sdtlseqdt0(xq,xm)
| $false ),
inference(rw,[status(thm)],[131853,14886,theory(equality)]) ).
cnf(131882,plain,
sdtlseqdt0(xq,xm),
inference(cn,[status(thm)],[131881,theory(equality)]) ).
cnf(131965,plain,
( xm = xq
| sdtlseqdt0(xn,sdtasdt0(xm,xp))
| ~ aNaturalNumber0(xm) ),
inference(spm,[status(thm)],[115540,131882,theory(equality)]) ).
cnf(132012,plain,
( xm = xq
| sdtlseqdt0(xn,sdtasdt0(xm,xp))
| $false ),
inference(rw,[status(thm)],[131965,227,theory(equality)]) ).
cnf(132013,plain,
( xm = xq
| sdtlseqdt0(xn,sdtasdt0(xm,xp)) ),
inference(cn,[status(thm)],[132012,theory(equality)]) ).
cnf(132014,plain,
sdtlseqdt0(xn,sdtasdt0(xm,xp)),
inference(sr,[status(thm)],[132013,77007,theory(equality)]) ).
cnf(139046,plain,
( sdtasdt0(xp,X1) = sdtasdt0(xn,xp)
| sz00 = xp
| xn != X1
| ~ doDivides0(xp,sdtasdt0(xn,xp))
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtasdt0(xn,xp)) ),
inference(spm,[status(thm)],[148,112223,theory(equality)]) ).
cnf(139069,plain,
( sdtasdt0(xp,X1) = sdtasdt0(xn,xp)
| sz00 = xp
| xn != X1
| $false
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtasdt0(xn,xp)) ),
inference(rw,[status(thm)],[139046,111889,theory(equality)]) ).
cnf(139070,plain,
( sdtasdt0(xp,X1) = sdtasdt0(xn,xp)
| sz00 = xp
| xn != X1
| $false
| $false
| ~ aNaturalNumber0(sdtasdt0(xn,xp)) ),
inference(rw,[status(thm)],[139069,226,theory(equality)]) ).
cnf(139071,plain,
( sdtasdt0(xp,X1) = sdtasdt0(xn,xp)
| sz00 = xp
| xn != X1
| $false
| $false
| $false ),
inference(rw,[status(thm)],[139070,111805,theory(equality)]) ).
cnf(139072,plain,
( sdtasdt0(xp,X1) = sdtasdt0(xn,xp)
| sz00 = xp
| xn != X1 ),
inference(cn,[status(thm)],[139071,theory(equality)]) ).
cnf(139073,plain,
( sdtasdt0(xp,X1) = sdtasdt0(xn,xp)
| xn != X1 ),
inference(sr,[status(thm)],[139072,223,theory(equality)]) ).
cnf(139187,plain,
( sdtasdt0(xm,sdtasdt0(xn,xp)) = sdtasdt0(xn,xn)
| xn != xm ),
inference(spm,[status(thm)],[7212,139073,theory(equality)]) ).
cnf(140231,plain,
( sdtasdt0(xn,sdtasdt0(xp,xm)) = sdtasdt0(xn,xn)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xn)
| xm != xn ),
inference(spm,[status(thm)],[7039,139187,theory(equality)]) ).
cnf(140493,plain,
( sdtasdt0(xn,sdtasdt0(xp,xm)) = sdtasdt0(xn,xn)
| $false
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xn)
| xm != xn ),
inference(rw,[status(thm)],[140231,227,theory(equality)]) ).
cnf(140494,plain,
( sdtasdt0(xn,sdtasdt0(xp,xm)) = sdtasdt0(xn,xn)
| $false
| $false
| ~ aNaturalNumber0(xn)
| xm != xn ),
inference(rw,[status(thm)],[140493,226,theory(equality)]) ).
cnf(140495,plain,
( sdtasdt0(xn,sdtasdt0(xp,xm)) = sdtasdt0(xn,xn)
| $false
| $false
| $false
| xm != xn ),
inference(rw,[status(thm)],[140494,228,theory(equality)]) ).
cnf(140496,plain,
( sdtasdt0(xn,sdtasdt0(xp,xm)) = sdtasdt0(xn,xn)
| xm != xn ),
inference(cn,[status(thm)],[140495,theory(equality)]) ).
cnf(142213,plain,
( sdtasdt0(xn,sdtasdt0(xn,xp)) = sdtasdt0(xn,xn)
| xm != xn ),
inference(spm,[status(thm)],[140496,139073,theory(equality)]) ).
cnf(143986,plain,
( sdtsldt0(sdtasdt0(xn,xn),xn) = sdtasdt0(xn,xp)
| sz00 = xn
| ~ aNaturalNumber0(sdtasdt0(xn,xp))
| ~ aNaturalNumber0(xn)
| xm != xn ),
inference(spm,[status(thm)],[61443,142213,theory(equality)]) ).
cnf(144507,plain,
( sdtsldt0(sdtasdt0(xn,xn),xn) = sdtasdt0(xn,xp)
| sz00 = xn
| $false
| ~ aNaturalNumber0(xn)
| xm != xn ),
inference(rw,[status(thm)],[143986,111805,theory(equality)]) ).
cnf(144508,plain,
( sdtsldt0(sdtasdt0(xn,xn),xn) = sdtasdt0(xn,xp)
| sz00 = xn
| $false
| $false
| xm != xn ),
inference(rw,[status(thm)],[144507,228,theory(equality)]) ).
cnf(144509,plain,
( sdtsldt0(sdtasdt0(xn,xn),xn) = sdtasdt0(xn,xp)
| sz00 = xn
| xm != xn ),
inference(cn,[status(thm)],[144508,theory(equality)]) ).
cnf(144510,plain,
( sdtsldt0(sdtasdt0(xn,xn),xn) = sdtasdt0(xn,xp)
| xm != xn ),
inference(sr,[status(thm)],[144509,225,theory(equality)]) ).
cnf(210280,plain,
( doDivides0(X1,sdtasdt0(X2,sdtasdt0(X3,X1)))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2) ),
inference(csr,[status(thm)],[4776,183]) ).
cnf(210282,plain,
( doDivides0(xm,sdtasdt0(xn,xn))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xp) ),
inference(spm,[status(thm)],[210280,7212,theory(equality)]) ).
cnf(210492,plain,
( doDivides0(xm,sdtasdt0(xn,xn))
| $false
| ~ aNaturalNumber0(xp) ),
inference(rw,[status(thm)],[210282,227,theory(equality)]) ).
cnf(210493,plain,
( doDivides0(xm,sdtasdt0(xn,xn))
| $false
| $false ),
inference(rw,[status(thm)],[210492,226,theory(equality)]) ).
cnf(210494,plain,
doDivides0(xm,sdtasdt0(xn,xn)),
inference(cn,[status(thm)],[210493,theory(equality)]) ).
cnf(215920,negated_conjecture,
( sdtasdt0(X1,X2) = xm
| sz00 = X2
| ~ sdtlseqdt0(sdtasdt0(X1,X2),xn)
| ~ sdtlseqdt0(xm,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(csr,[status(thm)],[4931,183]) ).
cnf(462941,plain,
( sdtasdt0(X1,sz10) = xn
| xn != X1 ),
inference(csr,[status(thm)],[61913,61659]) ).
cnf(463249,plain,
( xn = xm
| sz00 = sz10
| ~ sdtlseqdt0(xn,xn)
| ~ sdtlseqdt0(xm,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(sz10)
| xn != X1 ),
inference(spm,[status(thm)],[215920,462941,theory(equality)]) ).
cnf(464153,plain,
( xn = xm
| sz00 = sz10
| $false
| ~ sdtlseqdt0(xm,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(sz10)
| xn != X1 ),
inference(rw,[status(thm)],[463249,1129,theory(equality)]) ).
cnf(464154,plain,
( xn = xm
| sz00 = sz10
| $false
| ~ sdtlseqdt0(xm,X1)
| ~ aNaturalNumber0(X1)
| $false
| xn != X1 ),
inference(rw,[status(thm)],[464153,159,theory(equality)]) ).
cnf(464155,plain,
( xn = xm
| sz00 = sz10
| ~ sdtlseqdt0(xm,X1)
| ~ aNaturalNumber0(X1)
| xn != X1 ),
inference(cn,[status(thm)],[464154,theory(equality)]) ).
cnf(464156,plain,
( xm = xn
| ~ sdtlseqdt0(xm,X1)
| ~ aNaturalNumber0(X1)
| xn != X1 ),
inference(sr,[status(thm)],[464155,158,theory(equality)]) ).
cnf(467387,plain,
( xm = xn
| xn != X1
| ~ sdtlseqdt0(xm,X1) ),
inference(csr,[status(thm)],[464156,61659]) ).
cnf(570993,plain,
( xm = X1
| sdtlseqdt0(sdtasdt0(X1,sdtasdt0(xm,xp)),sdtasdt0(xn,xn))
| ~ sdtlseqdt0(X1,xm)
| ~ aNaturalNumber0(sdtasdt0(xm,xp))
| ~ aNaturalNumber0(X1) ),
inference(sr,[status(thm)],[7849,93830,theory(equality)]) ).
cnf(927651,plain,
( sdtasdt0(xn,xp) = sdtasdt0(xn,sdtsldt0(xn,xn))
| sz00 = xn
| ~ doDivides0(xn,xn)
| ~ aNaturalNumber0(xn)
| xm != xn ),
inference(spm,[status(thm)],[222,144510,theory(equality)]) ).
cnf(927682,plain,
( sdtasdt0(xn,xp) = xn
| sz00 = xn
| ~ doDivides0(xn,xn)
| ~ aNaturalNumber0(xn)
| xm != xn ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[927651,123045,theory(equality)]),122451,theory(equality)]) ).
cnf(927683,plain,
( sdtasdt0(xn,xp) = xn
| sz00 = xn
| $false
| ~ aNaturalNumber0(xn)
| xm != xn ),
inference(rw,[status(thm)],[927682,14470,theory(equality)]) ).
cnf(927684,plain,
( sdtasdt0(xn,xp) = xn
| sz00 = xn
| $false
| $false
| xm != xn ),
inference(rw,[status(thm)],[927683,228,theory(equality)]) ).
cnf(927685,plain,
( sdtasdt0(xn,xp) = xn
| sz00 = xn
| xm != xn ),
inference(cn,[status(thm)],[927684,theory(equality)]) ).
cnf(927686,plain,
( xn = sz00
| xm != xn ),
inference(sr,[status(thm)],[927685,111942,theory(equality)]) ).
cnf(927687,plain,
xm != xn,
inference(sr,[status(thm)],[927686,225,theory(equality)]) ).
cnf(2063426,plain,
( sz00 = xm
| sdtlseqdt0(sdtasdt0(xp,xm),xm)
| sdtlseqdt0(xm,sdtasdt0(xp,xm))
| ~ doDivides0(xm,sdtasdt0(xn,xn))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtasdt0(xn,xn)) ),
inference(spm,[status(thm)],[14871,89848,theory(equality)]) ).
cnf(2063562,plain,
( sz00 = xm
| sdtlseqdt0(sdtasdt0(xp,xm),xm)
| sdtlseqdt0(xm,sdtasdt0(xp,xm))
| $false
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtasdt0(xn,xn)) ),
inference(rw,[status(thm)],[2063426,210494,theory(equality)]) ).
cnf(2063563,plain,
( sz00 = xm
| sdtlseqdt0(sdtasdt0(xp,xm),xm)
| sdtlseqdt0(xm,sdtasdt0(xp,xm))
| $false
| $false
| ~ aNaturalNumber0(sdtasdt0(xn,xn)) ),
inference(rw,[status(thm)],[2063562,227,theory(equality)]) ).
cnf(2063564,plain,
( sz00 = xm
| sdtlseqdt0(sdtasdt0(xp,xm),xm)
| sdtlseqdt0(xm,sdtasdt0(xp,xm))
| $false
| $false
| $false ),
inference(rw,[status(thm)],[2063563,1488,theory(equality)]) ).
cnf(2063565,plain,
( sz00 = xm
| sdtlseqdt0(sdtasdt0(xp,xm),xm)
| sdtlseqdt0(xm,sdtasdt0(xp,xm)) ),
inference(cn,[status(thm)],[2063564,theory(equality)]) ).
cnf(2063566,plain,
( sdtlseqdt0(sdtasdt0(xp,xm),xm)
| sdtlseqdt0(xm,sdtasdt0(xp,xm)) ),
inference(sr,[status(thm)],[2063565,224,theory(equality)]) ).
cnf(2063757,plain,
( sdtasdt0(xp,xm) = xm
| sz00 = xp
| sdtlseqdt0(xm,sdtasdt0(xp,xm))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xp) ),
inference(spm,[status(thm)],[124559,2063566,theory(equality)]) ).
cnf(2063821,plain,
( sdtasdt0(xp,xm) = xm
| sz00 = xp
| sdtlseqdt0(xm,sdtasdt0(xp,xm))
| $false
| ~ aNaturalNumber0(xp) ),
inference(rw,[status(thm)],[2063757,227,theory(equality)]) ).
cnf(2063822,plain,
( sdtasdt0(xp,xm) = xm
| sz00 = xp
| sdtlseqdt0(xm,sdtasdt0(xp,xm))
| $false
| $false ),
inference(rw,[status(thm)],[2063821,226,theory(equality)]) ).
cnf(2063823,plain,
( sdtasdt0(xp,xm) = xm
| sz00 = xp
| sdtlseqdt0(xm,sdtasdt0(xp,xm)) ),
inference(cn,[status(thm)],[2063822,theory(equality)]) ).
cnf(2063824,plain,
( xp = sz00
| sdtlseqdt0(xm,sdtasdt0(xp,xm)) ),
inference(sr,[status(thm)],[2063823,96077,theory(equality)]) ).
cnf(2063825,plain,
sdtlseqdt0(xm,sdtasdt0(xp,xm)),
inference(sr,[status(thm)],[2063824,223,theory(equality)]) ).
cnf(2063894,plain,
( sdtlseqdt0(xm,sdtasdt0(xm,xp))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xp) ),
inference(spm,[status(thm)],[2063825,218,theory(equality)]) ).
cnf(2063952,plain,
( sdtlseqdt0(xm,sdtasdt0(xm,xp))
| $false
| ~ aNaturalNumber0(xp) ),
inference(rw,[status(thm)],[2063894,227,theory(equality)]) ).
cnf(2063953,plain,
( sdtlseqdt0(xm,sdtasdt0(xm,xp))
| $false
| $false ),
inference(rw,[status(thm)],[2063952,226,theory(equality)]) ).
cnf(2063954,plain,
sdtlseqdt0(xm,sdtasdt0(xm,xp)),
inference(cn,[status(thm)],[2063953,theory(equality)]) ).
cnf(2064117,plain,
( xm = xn
| xn != sdtasdt0(xm,xp) ),
inference(spm,[status(thm)],[467387,2063954,theory(equality)]) ).
cnf(2064228,plain,
sdtasdt0(xm,xp) != xn,
inference(sr,[status(thm)],[2064117,927687,theory(equality)]) ).
cnf(2327672,plain,
( sdtasdt0(sz10,sdtasdt0(xp,xm)) = sdtasdt0(xp,xm)
| sz00 = xm
| ~ doDivides0(xm,sdtasdt0(xn,xn))
| ~ aNaturalNumber0(xm) ),
inference(spm,[status(thm)],[17877,89848,theory(equality)]) ).
cnf(2328647,plain,
( sdtasdt0(sz10,sdtasdt0(xp,xm)) = sdtasdt0(xp,xm)
| sz00 = xm
| $false
| ~ aNaturalNumber0(xm) ),
inference(rw,[status(thm)],[2327672,210494,theory(equality)]) ).
cnf(2328648,plain,
( sdtasdt0(sz10,sdtasdt0(xp,xm)) = sdtasdt0(xp,xm)
| sz00 = xm
| $false
| $false ),
inference(rw,[status(thm)],[2328647,227,theory(equality)]) ).
cnf(2328649,plain,
( sdtasdt0(sz10,sdtasdt0(xp,xm)) = sdtasdt0(xp,xm)
| sz00 = xm ),
inference(cn,[status(thm)],[2328648,theory(equality)]) ).
cnf(2328650,plain,
sdtasdt0(sz10,sdtasdt0(xp,xm)) = sdtasdt0(xp,xm),
inference(sr,[status(thm)],[2328649,224,theory(equality)]) ).
cnf(2330876,plain,
( sdtasdt0(xp,xm) = sdtasdt0(xm,xp)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xp) ),
inference(spm,[status(thm)],[7235,2328650,theory(equality)]) ).
cnf(2332581,plain,
( sdtasdt0(xp,xm) = sdtasdt0(xm,xp)
| $false
| ~ aNaturalNumber0(xp) ),
inference(rw,[status(thm)],[2330876,227,theory(equality)]) ).
cnf(2332582,plain,
( sdtasdt0(xp,xm) = sdtasdt0(xm,xp)
| $false
| $false ),
inference(rw,[status(thm)],[2332581,226,theory(equality)]) ).
cnf(2332583,plain,
sdtasdt0(xp,xm) = sdtasdt0(xm,xp),
inference(cn,[status(thm)],[2332582,theory(equality)]) ).
cnf(2335479,plain,
( aNaturalNumber0(sdtasdt0(xm,xp))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xp) ),
inference(spm,[status(thm)],[183,2332583,theory(equality)]) ).
cnf(2336518,plain,
( aNaturalNumber0(sdtasdt0(xm,xp))
| $false
| ~ aNaturalNumber0(xp) ),
inference(rw,[status(thm)],[2335479,227,theory(equality)]) ).
cnf(2336519,plain,
( aNaturalNumber0(sdtasdt0(xm,xp))
| $false
| $false ),
inference(rw,[status(thm)],[2336518,226,theory(equality)]) ).
cnf(2336520,plain,
aNaturalNumber0(sdtasdt0(xm,xp)),
inference(cn,[status(thm)],[2336519,theory(equality)]) ).
cnf(2344368,plain,
( xm = X1
| sdtlseqdt0(sdtasdt0(X1,sdtasdt0(xm,xp)),sdtasdt0(xn,xn))
| ~ sdtlseqdt0(X1,xm)
| $false
| ~ aNaturalNumber0(X1) ),
inference(rw,[status(thm)],[570993,2336520,theory(equality)]) ).
cnf(2344369,plain,
( xm = X1
| sdtlseqdt0(sdtasdt0(X1,sdtasdt0(xm,xp)),sdtasdt0(xn,xn))
| ~ sdtlseqdt0(X1,xm)
| ~ aNaturalNumber0(X1) ),
inference(cn,[status(thm)],[2344368,theory(equality)]) ).
cnf(2386712,plain,
( sz00 = xn
| sdtasdt0(xm,xp) = xn
| xm = xn
| ~ sdtlseqdt0(xn,sdtasdt0(xm,xp))
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtasdt0(xm,xp))
| ~ sdtlseqdt0(xn,xm) ),
inference(spm,[status(thm)],[20393,2344369,theory(equality)]) ).
cnf(2386933,plain,
( sz00 = xn
| sdtasdt0(xm,xp) = xn
| xm = xn
| $false
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtasdt0(xm,xp))
| ~ sdtlseqdt0(xn,xm) ),
inference(rw,[status(thm)],[2386712,132014,theory(equality)]) ).
cnf(2386934,plain,
( sz00 = xn
| sdtasdt0(xm,xp) = xn
| xm = xn
| $false
| $false
| ~ aNaturalNumber0(sdtasdt0(xm,xp))
| ~ sdtlseqdt0(xn,xm) ),
inference(rw,[status(thm)],[2386933,228,theory(equality)]) ).
cnf(2386935,plain,
( sz00 = xn
| sdtasdt0(xm,xp) = xn
| xm = xn
| $false
| $false
| $false
| ~ sdtlseqdt0(xn,xm) ),
inference(rw,[status(thm)],[2386934,2336520,theory(equality)]) ).
cnf(2386936,plain,
( sz00 = xn
| sdtasdt0(xm,xp) = xn
| xm = xn
| $false
| $false
| $false
| $false ),
inference(rw,[status(thm)],[2386935,162,theory(equality)]) ).
cnf(2386937,plain,
( sz00 = xn
| sdtasdt0(xm,xp) = xn
| xm = xn ),
inference(cn,[status(thm)],[2386936,theory(equality)]) ).
cnf(2386938,plain,
( sdtasdt0(xm,xp) = xn
| xm = xn ),
inference(sr,[status(thm)],[2386937,225,theory(equality)]) ).
cnf(2386939,plain,
xm = xn,
inference(sr,[status(thm)],[2386938,2064228,theory(equality)]) ).
cnf(2386940,plain,
$false,
inference(sr,[status(thm)],[2386939,927687,theory(equality)]) ).
cnf(2386941,plain,
$false,
2386940,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : NUM527+1 : TPTP v7.0.0. Released v4.0.0.
% 0.00/0.04 % Command : Source/sine.py -e eprover -t %d %s
% 0.02/0.24 % Computer : n097.star.cs.uiowa.edu
% 0.02/0.24 % Model : x86_64 x86_64
% 0.02/0.24 % CPU : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
% 0.02/0.24 % Memory : 32218.625MB
% 0.02/0.24 % OS : Linux 3.10.0-693.2.2.el7.x86_64
% 0.02/0.24 % CPULimit : 300
% 0.02/0.24 % DateTime : Fri Jan 5 07:14:29 CST 2018
% 0.02/0.24 % CPUTime :
% 0.02/0.29 % SZS status Started for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.02/0.29 --creating new selector for []
% 29.04/29.74 eprover: CPU time limit exceeded, terminating
% 78.69/81.06 -running prover on /export/starexec/sandbox/tmp/tmpEKeo7b/sel_theBenchmark.p_1 with time limit 29
% 78.69/81.06 -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/tmpEKeo7b/sel_theBenchmark.p_1']
% 78.69/81.06 -prover status ResourceOut
% 78.69/81.06 -running prover on /export/starexec/sandbox/tmp/tmpEKeo7b/sel_theBenchmark.p_2 with time limit 80
% 78.69/81.06 -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=80', '/export/starexec/sandbox/tmp/tmpEKeo7b/sel_theBenchmark.p_2']
% 78.69/81.06 -prover status Theorem
% 78.69/81.06 Problem theBenchmark.p solved in phase 1.
% 78.69/81.06 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 78.69/81.06 % SZS status Ended for /export/starexec/sandbox/benchmark/theBenchmark.p
% 78.69/81.06 Solved 1 out of 1.
% 78.69/81.06 # Problem is unsatisfiable (or provable), constructing proof object
% 78.69/81.06 # SZS status Theorem
% 78.69/81.06 # SZS output start CNFRefutation.
% See solution above
% 78.69/81.06 # SZS output end CNFRefutation
%------------------------------------------------------------------------------