TSTP Solution File: NUM524+1 by SInE---0.4
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- Process Solution
%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : NUM524+1 : TPTP v7.0.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : n114.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 15:21:39 EST 2018
% Result : Theorem 84.26s
% Output : CNFRefutation 84.26s
% Verified :
% SZS Type : Refutation
% Derivation depth : 52
% Number of leaves : 16
% Syntax : Number of formulae : 200 ( 33 unt; 0 def)
% Number of atoms : 686 ( 189 equ)
% Maximal formula atoms : 19 ( 3 avg)
% Number of connectives : 828 ( 342 ~; 427 |; 45 &)
% ( 1 <=>; 13 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 6 con; 0-2 aty)
% Number of variables : 211 ( 6 sgn 75 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(1,axiom,
! [X1] :
( aNaturalNumber0(X1)
=> ( equal(sdtasdt0(X1,sz00),sz00)
& equal(sz00,sdtasdt0(sz00,X1)) ) ),
file('/export/starexec/sandbox2/tmp/tmp52FU3_/sel_theBenchmark.p_2',m_MulZero) ).
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/sandbox2/tmp/tmp52FU3_/sel_theBenchmark.p_2',mMulCanc) ).
fof(8,axiom,
! [X1,X2,X3] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2)
& aNaturalNumber0(X3) )
=> ( equal(sdtasdt0(X1,sdtpldt0(X2,X3)),sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,X3)))
& equal(sdtasdt0(sdtpldt0(X2,X3),X1),sdtpldt0(sdtasdt0(X2,X1),sdtasdt0(X3,X1))) ) ),
file('/export/starexec/sandbox2/tmp/tmp52FU3_/sel_theBenchmark.p_2',mAMDistr) ).
fof(14,axiom,
equal(sdtasdt0(xp,sdtasdt0(xm,xm)),sdtasdt0(xn,xn)),
file('/export/starexec/sandbox2/tmp/tmp52FU3_/sel_theBenchmark.p_2',m__3014) ).
fof(18,axiom,
equal(xq,sdtsldt0(xn,xp)),
file('/export/starexec/sandbox2/tmp/tmp52FU3_/sel_theBenchmark.p_2',m__3059) ).
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/sandbox2/tmp/tmp52FU3_/sel_theBenchmark.p_2',mDefQuot) ).
fof(27,axiom,
( aNaturalNumber0(sz10)
& ~ equal(sz10,sz00) ),
file('/export/starexec/sandbox2/tmp/tmp52FU3_/sel_theBenchmark.p_2',mSortsC_01) ).
fof(28,conjecture,
equal(sdtasdt0(xm,xm),sdtasdt0(xp,sdtasdt0(xq,xq))),
file('/export/starexec/sandbox2/tmp/tmp52FU3_/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/sandbox2/tmp/tmp52FU3_/sel_theBenchmark.p_2',mMulAsso) ).
fof(33,axiom,
! [X1,X2] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> aNaturalNumber0(sdtasdt0(X1,X2)) ),
file('/export/starexec/sandbox2/tmp/tmp52FU3_/sel_theBenchmark.p_2',mSortsB_02) ).
fof(35,axiom,
aNaturalNumber0(sz00),
file('/export/starexec/sandbox2/tmp/tmp52FU3_/sel_theBenchmark.p_2',mSortsC) ).
fof(40,axiom,
! [X1,X2] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> equal(sdtasdt0(X1,X2),sdtasdt0(X2,X1)) ),
file('/export/starexec/sandbox2/tmp/tmp52FU3_/sel_theBenchmark.p_2',mMulComm) ).
fof(42,axiom,
( aNaturalNumber0(xn)
& aNaturalNumber0(xm)
& aNaturalNumber0(xp)
& ~ equal(xn,sz00)
& ~ equal(xm,sz00)
& ~ equal(xp,sz00) ),
file('/export/starexec/sandbox2/tmp/tmp52FU3_/sel_theBenchmark.p_2',m__2987) ).
fof(43,axiom,
! [X1] :
( aNaturalNumber0(X1)
=> ( equal(sdtpldt0(X1,sz00),X1)
& equal(X1,sdtpldt0(sz00,X1)) ) ),
file('/export/starexec/sandbox2/tmp/tmp52FU3_/sel_theBenchmark.p_2',m_AddZero) ).
fof(44,axiom,
( doDivides0(xp,sdtasdt0(xn,xn))
& doDivides0(xp,xn) ),
file('/export/starexec/sandbox2/tmp/tmp52FU3_/sel_theBenchmark.p_2',m__3046) ).
fof(45,axiom,
! [X1] :
( aNaturalNumber0(X1)
=> ( equal(sdtasdt0(X1,sz10),X1)
& equal(X1,sdtasdt0(sz10,X1)) ) ),
file('/export/starexec/sandbox2/tmp/tmp52FU3_/sel_theBenchmark.p_2',m_MulUnit) ).
fof(47,negated_conjecture,
~ equal(sdtasdt0(xm,xm),sdtasdt0(xp,sdtasdt0(xq,xq))),
inference(assume_negation,[status(cth)],[28]) ).
fof(49,negated_conjecture,
~ equal(sdtasdt0(xm,xm),sdtasdt0(xp,sdtasdt0(xq,xq))),
inference(fof_simplification,[status(thm)],[47,theory(equality)]) ).
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(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(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(76,plain,
! [X1,X2,X3] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ( equal(sdtasdt0(X1,sdtpldt0(X2,X3)),sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,X3)))
& equal(sdtasdt0(sdtpldt0(X2,X3),X1),sdtpldt0(sdtasdt0(X2,X1),sdtasdt0(X3,X1))) ) ),
inference(fof_nnf,[status(thm)],[8]) ).
fof(77,plain,
! [X4,X5,X6] :
( ~ aNaturalNumber0(X4)
| ~ aNaturalNumber0(X5)
| ~ aNaturalNumber0(X6)
| ( equal(sdtasdt0(X4,sdtpldt0(X5,X6)),sdtpldt0(sdtasdt0(X4,X5),sdtasdt0(X4,X6)))
& equal(sdtasdt0(sdtpldt0(X5,X6),X4),sdtpldt0(sdtasdt0(X5,X4),sdtasdt0(X6,X4))) ) ),
inference(variable_rename,[status(thm)],[76]) ).
fof(78,plain,
! [X4,X5,X6] :
( ( equal(sdtasdt0(X4,sdtpldt0(X5,X6)),sdtpldt0(sdtasdt0(X4,X5),sdtasdt0(X4,X6)))
| ~ aNaturalNumber0(X4)
| ~ aNaturalNumber0(X5)
| ~ aNaturalNumber0(X6) )
& ( equal(sdtasdt0(sdtpldt0(X5,X6),X4),sdtpldt0(sdtasdt0(X5,X4),sdtasdt0(X6,X4)))
| ~ aNaturalNumber0(X4)
| ~ aNaturalNumber0(X5)
| ~ aNaturalNumber0(X6) ) ),
inference(distribute,[status(thm)],[77]) ).
cnf(79,plain,
( sdtasdt0(sdtpldt0(X2,X1),X3) = sdtpldt0(sdtasdt0(X2,X3),sdtasdt0(X1,X3))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3) ),
inference(split_conjunct,[status(thm)],[78]) ).
cnf(103,plain,
sdtasdt0(xp,sdtasdt0(xm,xm)) = sdtasdt0(xn,xn),
inference(split_conjunct,[status(thm)],[14]) ).
cnf(118,plain,
xq = sdtsldt0(xn,xp),
inference(split_conjunct,[status(thm)],[18]) ).
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(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]) ).
cnf(159,plain,
aNaturalNumber0(sz10),
inference(split_conjunct,[status(thm)],[27]) ).
cnf(160,negated_conjecture,
sdtasdt0(xm,xm) != sdtasdt0(xp,sdtasdt0(xq,xq)),
inference(split_conjunct,[status(thm)],[49]) ).
fof(161,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(162,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)],[161]) ).
cnf(163,plain,
( sdtasdt0(sdtasdt0(X1,X2),X3) = sdtasdt0(X1,sdtasdt0(X2,X3))
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[162]) ).
fof(179,plain,
! [X1,X2] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| aNaturalNumber0(sdtasdt0(X1,X2)) ),
inference(fof_nnf,[status(thm)],[33]) ).
fof(180,plain,
! [X3,X4] :
( ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X4)
| aNaturalNumber0(sdtasdt0(X3,X4)) ),
inference(variable_rename,[status(thm)],[179]) ).
cnf(181,plain,
( aNaturalNumber0(sdtasdt0(X1,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[180]) ).
cnf(194,plain,
aNaturalNumber0(sz00),
inference(split_conjunct,[status(thm)],[35]) ).
fof(213,plain,
! [X1,X2] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| equal(sdtasdt0(X1,X2),sdtasdt0(X2,X1)) ),
inference(fof_nnf,[status(thm)],[40]) ).
fof(214,plain,
! [X3,X4] :
( ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X4)
| equal(sdtasdt0(X3,X4),sdtasdt0(X4,X3)) ),
inference(variable_rename,[status(thm)],[213]) ).
cnf(215,plain,
( sdtasdt0(X1,X2) = sdtasdt0(X2,X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[214]) ).
cnf(220,plain,
xp != sz00,
inference(split_conjunct,[status(thm)],[42]) ).
cnf(223,plain,
aNaturalNumber0(xp),
inference(split_conjunct,[status(thm)],[42]) ).
cnf(224,plain,
aNaturalNumber0(xm),
inference(split_conjunct,[status(thm)],[42]) ).
cnf(225,plain,
aNaturalNumber0(xn),
inference(split_conjunct,[status(thm)],[42]) ).
fof(226,plain,
! [X1] :
( ~ aNaturalNumber0(X1)
| ( equal(sdtpldt0(X1,sz00),X1)
& equal(X1,sdtpldt0(sz00,X1)) ) ),
inference(fof_nnf,[status(thm)],[43]) ).
fof(227,plain,
! [X2] :
( ~ aNaturalNumber0(X2)
| ( equal(sdtpldt0(X2,sz00),X2)
& equal(X2,sdtpldt0(sz00,X2)) ) ),
inference(variable_rename,[status(thm)],[226]) ).
fof(228,plain,
! [X2] :
( ( equal(sdtpldt0(X2,sz00),X2)
| ~ aNaturalNumber0(X2) )
& ( equal(X2,sdtpldt0(sz00,X2))
| ~ aNaturalNumber0(X2) ) ),
inference(distribute,[status(thm)],[227]) ).
cnf(230,plain,
( sdtpldt0(X1,sz00) = X1
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[228]) ).
cnf(231,plain,
doDivides0(xp,xn),
inference(split_conjunct,[status(thm)],[44]) ).
fof(233,plain,
! [X1] :
( ~ aNaturalNumber0(X1)
| ( equal(sdtasdt0(X1,sz10),X1)
& equal(X1,sdtasdt0(sz10,X1)) ) ),
inference(fof_nnf,[status(thm)],[45]) ).
fof(234,plain,
! [X2] :
( ~ aNaturalNumber0(X2)
| ( equal(sdtasdt0(X2,sz10),X2)
& equal(X2,sdtasdt0(sz10,X2)) ) ),
inference(variable_rename,[status(thm)],[233]) ).
fof(235,plain,
! [X2] :
( ( equal(sdtasdt0(X2,sz10),X2)
| ~ aNaturalNumber0(X2) )
& ( equal(X2,sdtasdt0(sz10,X2))
| ~ aNaturalNumber0(X2) ) ),
inference(distribute,[status(thm)],[234]) ).
cnf(236,plain,
( X1 = sdtasdt0(sz10,X1)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[235]) ).
cnf(237,plain,
( sdtasdt0(X1,sz10) = X1
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[235]) ).
cnf(406,plain,
( sdtasdt0(X1,sdtasdt0(X2,sz00)) = sz00
| ~ aNaturalNumber0(sdtasdt0(X1,X2))
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(spm,[status(thm)],[54,163,theory(equality)]) ).
cnf(407,plain,
( sdtasdt0(sz00,X2) = sdtasdt0(X1,sdtasdt0(sz00,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1) ),
inference(spm,[status(thm)],[163,54,theory(equality)]) ).
cnf(408,plain,
( sdtasdt0(X1,sdtasdt0(X2,sz10)) = sdtasdt0(X1,X2)
| ~ aNaturalNumber0(sdtasdt0(X1,X2))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(spm,[status(thm)],[237,163,theory(equality)]) ).
cnf(410,plain,
( sdtasdt0(X1,X2) = sdtasdt0(sz10,sdtasdt0(X1,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(sz10) ),
inference(spm,[status(thm)],[163,236,theory(equality)]) ).
cnf(411,plain,
( sdtasdt0(sz00,X2) = sdtasdt0(sz00,sdtasdt0(X1,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(sz00) ),
inference(spm,[status(thm)],[163,53,theory(equality)]) ).
cnf(416,plain,
( aNaturalNumber0(sdtasdt0(X1,sdtasdt0(X2,X3)))
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(sdtasdt0(X1,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(spm,[status(thm)],[181,163,theory(equality)]) ).
cnf(425,plain,
( sdtasdt0(X1,sdtasdt0(X2,sz00)) = sz00
| ~ aNaturalNumber0(sdtasdt0(X1,X2))
| $false
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(rw,[status(thm)],[406,194,theory(equality)]) ).
cnf(426,plain,
( sdtasdt0(X1,sdtasdt0(X2,sz00)) = sz00
| ~ aNaturalNumber0(sdtasdt0(X1,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(cn,[status(thm)],[425,theory(equality)]) ).
cnf(427,plain,
( sdtasdt0(sz00,X2) = sdtasdt0(X1,sdtasdt0(sz00,X2))
| ~ aNaturalNumber0(X2)
| $false
| ~ aNaturalNumber0(X1) ),
inference(rw,[status(thm)],[407,194,theory(equality)]) ).
cnf(428,plain,
( sdtasdt0(sz00,X2) = sdtasdt0(X1,sdtasdt0(sz00,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(cn,[status(thm)],[427,theory(equality)]) ).
cnf(429,plain,
( sdtasdt0(X1,sdtasdt0(X2,sz10)) = sdtasdt0(X1,X2)
| ~ aNaturalNumber0(sdtasdt0(X1,X2))
| $false
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(rw,[status(thm)],[408,159,theory(equality)]) ).
cnf(430,plain,
( sdtasdt0(X1,sdtasdt0(X2,sz10)) = sdtasdt0(X1,X2)
| ~ aNaturalNumber0(sdtasdt0(X1,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(cn,[status(thm)],[429,theory(equality)]) ).
cnf(433,plain,
( sdtasdt0(X1,X2) = sdtasdt0(sz10,sdtasdt0(X1,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| $false ),
inference(rw,[status(thm)],[410,159,theory(equality)]) ).
cnf(434,plain,
( sdtasdt0(X1,X2) = sdtasdt0(sz10,sdtasdt0(X1,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(cn,[status(thm)],[433,theory(equality)]) ).
cnf(435,plain,
( sdtasdt0(sz00,X2) = sdtasdt0(sz00,sdtasdt0(X1,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| $false ),
inference(rw,[status(thm)],[411,194,theory(equality)]) ).
cnf(436,plain,
( sdtasdt0(sz00,X2) = sdtasdt0(sz00,sdtasdt0(X1,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(cn,[status(thm)],[435,theory(equality)]) ).
cnf(558,plain,
( sz00 = xp
| sdtasdt0(xm,xm) = X1
| sdtasdt0(xn,xn) != sdtasdt0(xp,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(sdtasdt0(xm,xm))
| ~ aNaturalNumber0(xp) ),
inference(spm,[status(thm)],[69,103,theory(equality)]) ).
cnf(574,plain,
( sz00 = xp
| sdtasdt0(xm,xm) = X1
| sdtasdt0(xn,xn) != sdtasdt0(xp,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(sdtasdt0(xm,xm))
| $false ),
inference(rw,[status(thm)],[558,223,theory(equality)]) ).
cnf(575,plain,
( sz00 = xp
| sdtasdt0(xm,xm) = X1
| sdtasdt0(xn,xn) != sdtasdt0(xp,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(sdtasdt0(xm,xm)) ),
inference(cn,[status(thm)],[574,theory(equality)]) ).
cnf(576,plain,
( sdtasdt0(xm,xm) = X1
| sdtasdt0(xp,X1) != sdtasdt0(xn,xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(sdtasdt0(xm,xm)) ),
inference(sr,[status(thm)],[575,220,theory(equality)]) ).
cnf(595,plain,
( sdtasdt0(X1,sdtsldt0(X2,X1)) = X2
| sz00 = X1
| ~ doDivides0(X1,X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(er,[status(thm)],[148,theory(equality)]) ).
cnf(596,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(597,plain,
( sdtasdt0(xp,X1) = xn
| sz00 = xp
| xq != X1
| $false
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xn) ),
inference(rw,[status(thm)],[596,231,theory(equality)]) ).
cnf(598,plain,
( sdtasdt0(xp,X1) = xn
| sz00 = xp
| xq != X1
| $false
| $false
| ~ aNaturalNumber0(xn) ),
inference(rw,[status(thm)],[597,223,theory(equality)]) ).
cnf(599,plain,
( sdtasdt0(xp,X1) = xn
| sz00 = xp
| xq != X1
| $false
| $false
| $false ),
inference(rw,[status(thm)],[598,225,theory(equality)]) ).
cnf(600,plain,
( sdtasdt0(xp,X1) = xn
| sz00 = xp
| xq != X1 ),
inference(cn,[status(thm)],[599,theory(equality)]) ).
cnf(601,plain,
( sdtasdt0(xp,X1) = xn
| xq != X1 ),
inference(sr,[status(thm)],[600,220,theory(equality)]) ).
cnf(659,plain,
( sz00 = X1
| aNaturalNumber0(sdtsldt0(X2,X1))
| ~ doDivides0(X1,X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(er,[status(thm)],[149,theory(equality)]) ).
cnf(660,plain,
( sz00 = xp
| aNaturalNumber0(X1)
| xq != X1
| ~ doDivides0(xp,xn)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xn) ),
inference(spm,[status(thm)],[149,118,theory(equality)]) ).
cnf(661,plain,
( sz00 = xp
| aNaturalNumber0(X1)
| xq != X1
| $false
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xn) ),
inference(rw,[status(thm)],[660,231,theory(equality)]) ).
cnf(662,plain,
( sz00 = xp
| aNaturalNumber0(X1)
| xq != X1
| $false
| $false
| ~ aNaturalNumber0(xn) ),
inference(rw,[status(thm)],[661,223,theory(equality)]) ).
cnf(663,plain,
( sz00 = xp
| aNaturalNumber0(X1)
| xq != X1
| $false
| $false
| $false ),
inference(rw,[status(thm)],[662,225,theory(equality)]) ).
cnf(664,plain,
( sz00 = xp
| aNaturalNumber0(X1)
| xq != X1 ),
inference(cn,[status(thm)],[663,theory(equality)]) ).
cnf(665,plain,
( aNaturalNumber0(X1)
| xq != X1 ),
inference(sr,[status(thm)],[664,220,theory(equality)]) ).
cnf(698,plain,
( sdtpldt0(X1,sdtasdt0(X2,X1)) = sdtasdt0(sdtpldt0(sz10,X2),X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X2) ),
inference(spm,[status(thm)],[79,236,theory(equality)]) ).
cnf(734,plain,
( sdtpldt0(X1,sdtasdt0(X2,X1)) = sdtasdt0(sdtpldt0(sz10,X2),X1)
| ~ aNaturalNumber0(X1)
| $false
| ~ aNaturalNumber0(X2) ),
inference(rw,[status(thm)],[698,159,theory(equality)]) ).
cnf(735,plain,
( sdtpldt0(X1,sdtasdt0(X2,X1)) = sdtasdt0(sdtpldt0(sz10,X2),X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(cn,[status(thm)],[734,theory(equality)]) ).
cnf(1038,plain,
( xn = sdtasdt0(X1,xp)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(xp)
| xq != X1 ),
inference(spm,[status(thm)],[215,601,theory(equality)]) ).
cnf(1044,plain,
( sdtasdt0(xn,X2) = sdtasdt0(xp,sdtasdt0(X1,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(xp)
| xq != X1 ),
inference(spm,[status(thm)],[163,601,theory(equality)]) ).
cnf(1068,plain,
( xn = sdtasdt0(X1,xp)
| ~ aNaturalNumber0(X1)
| $false
| xq != X1 ),
inference(rw,[status(thm)],[1038,223,theory(equality)]) ).
cnf(1069,plain,
( xn = sdtasdt0(X1,xp)
| ~ aNaturalNumber0(X1)
| xq != X1 ),
inference(cn,[status(thm)],[1068,theory(equality)]) ).
cnf(1083,plain,
( sdtasdt0(xn,X2) = sdtasdt0(xp,sdtasdt0(X1,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| $false
| xq != X1 ),
inference(rw,[status(thm)],[1044,223,theory(equality)]) ).
cnf(1084,plain,
( sdtasdt0(xn,X2) = sdtasdt0(xp,sdtasdt0(X1,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| xq != X1 ),
inference(cn,[status(thm)],[1083,theory(equality)]) ).
cnf(1152,plain,
( sdtasdt0(X1,xp) = xn
| xq != X1 ),
inference(csr,[status(thm)],[1069,665]) ).
cnf(1160,plain,
( sdtasdt0(xn,X2) = sdtasdt0(X1,sdtasdt0(xp,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X1)
| xq != X1 ),
inference(spm,[status(thm)],[163,1152,theory(equality)]) ).
cnf(1197,plain,
( sdtasdt0(xn,X2) = sdtasdt0(X1,sdtasdt0(xp,X2))
| ~ aNaturalNumber0(X2)
| $false
| ~ aNaturalNumber0(X1)
| xq != X1 ),
inference(rw,[status(thm)],[1160,223,theory(equality)]) ).
cnf(1198,plain,
( sdtasdt0(xn,X2) = sdtasdt0(X1,sdtasdt0(xp,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| xq != X1 ),
inference(cn,[status(thm)],[1197,theory(equality)]) ).
cnf(3400,plain,
( sdtasdt0(X1,sdtasdt0(X2,sz00)) = sz00
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(csr,[status(thm)],[426,181]) ).
cnf(3541,plain,
( sdtasdt0(sz00,sz00) = sz00
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1) ),
inference(spm,[status(thm)],[3400,428,theory(equality)]) ).
cnf(3580,plain,
( sdtasdt0(sz00,sz00) = sz00
| $false
| ~ aNaturalNumber0(X1) ),
inference(rw,[status(thm)],[3541,194,theory(equality)]) ).
cnf(3581,plain,
( sdtasdt0(sz00,sz00) = sz00
| ~ aNaturalNumber0(X1) ),
inference(cn,[status(thm)],[3580,theory(equality)]) ).
cnf(3608,plain,
( sdtasdt0(X1,sdtasdt0(X2,sz10)) = sdtasdt0(X1,X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(csr,[status(thm)],[430,181]) ).
cnf(4198,plain,
( sdtasdt0(X1,sz10) = sdtasdt0(sz10,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(sz10) ),
inference(spm,[status(thm)],[3608,434,theory(equality)]) ).
cnf(4289,plain,
( sdtasdt0(X1,sz10) = sdtasdt0(sz10,X1)
| ~ aNaturalNumber0(X1)
| $false ),
inference(rw,[status(thm)],[4198,159,theory(equality)]) ).
cnf(4290,plain,
( sdtasdt0(X1,sz10) = sdtasdt0(sz10,X1)
| ~ aNaturalNumber0(X1) ),
inference(cn,[status(thm)],[4289,theory(equality)]) ).
cnf(5546,plain,
( aNaturalNumber0(sdtasdt0(X1,sdtasdt0(X2,X3)))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X3) ),
inference(csr,[status(thm)],[416,181]) ).
cnf(5953,plain,
sdtasdt0(sz00,sz00) = sz00,
inference(spm,[status(thm)],[3581,223,theory(equality)]) ).
cnf(6215,plain,
( sdtasdt0(sz10,sz00) = sz00
| ~ aNaturalNumber0(sz00) ),
inference(spm,[status(thm)],[434,5953,theory(equality)]) ).
cnf(6262,plain,
( sdtasdt0(sz10,sz00) = sz00
| $false ),
inference(rw,[status(thm)],[6215,194,theory(equality)]) ).
cnf(6263,plain,
sdtasdt0(sz10,sz00) = sz00,
inference(cn,[status(thm)],[6262,theory(equality)]) ).
cnf(6274,plain,
( sz00 = sdtasdt0(sz00,sz10)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sz10) ),
inference(spm,[status(thm)],[215,6263,theory(equality)]) ).
cnf(6303,plain,
( sz00 = sdtasdt0(sz00,sz10)
| $false
| ~ aNaturalNumber0(sz10) ),
inference(rw,[status(thm)],[6274,194,theory(equality)]) ).
cnf(6304,plain,
( sz00 = sdtasdt0(sz00,sz10)
| $false
| $false ),
inference(rw,[status(thm)],[6303,159,theory(equality)]) ).
cnf(6305,plain,
sz00 = sdtasdt0(sz00,sz10),
inference(cn,[status(thm)],[6304,theory(equality)]) ).
cnf(11033,plain,
( sdtasdt0(xm,xm) = X1
| sdtasdt0(xp,X1) != sdtasdt0(xn,xn)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(xm) ),
inference(spm,[status(thm)],[576,181,theory(equality)]) ).
cnf(11040,plain,
( sdtasdt0(xm,xm) = X1
| sdtasdt0(xp,X1) != sdtasdt0(xn,xn)
| ~ aNaturalNumber0(X1)
| $false ),
inference(rw,[status(thm)],[11033,224,theory(equality)]) ).
cnf(11041,plain,
( sdtasdt0(xm,xm) = X1
| sdtasdt0(xp,X1) != sdtasdt0(xn,xn)
| ~ aNaturalNumber0(X1) ),
inference(cn,[status(thm)],[11040,theory(equality)]) ).
cnf(11304,plain,
( sdtasdt0(sz00,sdtasdt0(sz10,X1)) = sdtasdt0(sz00,sz10)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1) ),
inference(spm,[status(thm)],[436,4290,theory(equality)]) ).
cnf(11527,plain,
( sdtasdt0(sz00,sdtasdt0(sz10,X1)) = sz00
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1) ),
inference(rw,[status(thm)],[11304,6305,theory(equality)]) ).
cnf(11528,plain,
( sdtasdt0(sz00,sdtasdt0(sz10,X1)) = sz00
| $false
| ~ aNaturalNumber0(X1) ),
inference(rw,[status(thm)],[11527,159,theory(equality)]) ).
cnf(11529,plain,
( sdtasdt0(sz00,sdtasdt0(sz10,X1)) = sz00
| ~ aNaturalNumber0(X1) ),
inference(cn,[status(thm)],[11528,theory(equality)]) ).
cnf(13063,plain,
( sdtasdt0(xp,xq) = xn
| sz00 = xp
| ~ doDivides0(xp,xn)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xn) ),
inference(spm,[status(thm)],[595,118,theory(equality)]) ).
cnf(13141,plain,
( sdtasdt0(xp,xq) = xn
| sz00 = xp
| $false
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xn) ),
inference(rw,[status(thm)],[13063,231,theory(equality)]) ).
cnf(13142,plain,
( sdtasdt0(xp,xq) = xn
| sz00 = xp
| $false
| $false
| ~ aNaturalNumber0(xn) ),
inference(rw,[status(thm)],[13141,223,theory(equality)]) ).
cnf(13143,plain,
( sdtasdt0(xp,xq) = xn
| sz00 = xp
| $false
| $false
| $false ),
inference(rw,[status(thm)],[13142,225,theory(equality)]) ).
cnf(13144,plain,
( sdtasdt0(xp,xq) = xn
| sz00 = xp ),
inference(cn,[status(thm)],[13143,theory(equality)]) ).
cnf(13145,plain,
sdtasdt0(xp,xq) = xn,
inference(sr,[status(thm)],[13144,220,theory(equality)]) ).
cnf(13241,plain,
( sdtasdt0(sz10,xn) = xn
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xp) ),
inference(spm,[status(thm)],[434,13145,theory(equality)]) ).
cnf(13242,plain,
( sdtasdt0(sz00,xn) = sdtasdt0(sz00,xq)
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xp) ),
inference(spm,[status(thm)],[436,13145,theory(equality)]) ).
cnf(13324,plain,
( sdtasdt0(sz10,xn) = xn
| ~ aNaturalNumber0(xq)
| $false ),
inference(rw,[status(thm)],[13241,223,theory(equality)]) ).
cnf(13325,plain,
( sdtasdt0(sz10,xn) = xn
| ~ aNaturalNumber0(xq) ),
inference(cn,[status(thm)],[13324,theory(equality)]) ).
cnf(13326,plain,
( sdtasdt0(sz00,xn) = sdtasdt0(sz00,xq)
| ~ aNaturalNumber0(xq)
| $false ),
inference(rw,[status(thm)],[13242,223,theory(equality)]) ).
cnf(13327,plain,
( sdtasdt0(sz00,xn) = sdtasdt0(sz00,xq)
| ~ aNaturalNumber0(xq) ),
inference(cn,[status(thm)],[13326,theory(equality)]) ).
cnf(17221,plain,
( sdtasdt0(sz00,xn) = sz00
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xq) ),
inference(spm,[status(thm)],[11529,13325,theory(equality)]) ).
cnf(17385,plain,
( sdtasdt0(sz00,xn) = sz00
| $false
| ~ aNaturalNumber0(xq) ),
inference(rw,[status(thm)],[17221,225,theory(equality)]) ).
cnf(17386,plain,
( sdtasdt0(sz00,xn) = sz00
| ~ aNaturalNumber0(xq) ),
inference(cn,[status(thm)],[17385,theory(equality)]) ).
cnf(21977,plain,
( sz00 = xp
| aNaturalNumber0(xq)
| ~ doDivides0(xp,xn)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xn) ),
inference(spm,[status(thm)],[659,118,theory(equality)]) ).
cnf(21992,plain,
( sz00 = xp
| aNaturalNumber0(xq)
| $false
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xn) ),
inference(rw,[status(thm)],[21977,231,theory(equality)]) ).
cnf(21993,plain,
( sz00 = xp
| aNaturalNumber0(xq)
| $false
| $false
| ~ aNaturalNumber0(xn) ),
inference(rw,[status(thm)],[21992,223,theory(equality)]) ).
cnf(21994,plain,
( sz00 = xp
| aNaturalNumber0(xq)
| $false
| $false
| $false ),
inference(rw,[status(thm)],[21993,225,theory(equality)]) ).
cnf(21995,plain,
( sz00 = xp
| aNaturalNumber0(xq) ),
inference(cn,[status(thm)],[21994,theory(equality)]) ).
cnf(21996,plain,
aNaturalNumber0(xq),
inference(sr,[status(thm)],[21995,220,theory(equality)]) ).
cnf(22016,plain,
( sdtasdt0(sz00,xq) = sdtasdt0(sz00,xn)
| $false ),
inference(rw,[status(thm)],[13327,21996,theory(equality)]) ).
cnf(22017,plain,
sdtasdt0(sz00,xq) = sdtasdt0(sz00,xn),
inference(cn,[status(thm)],[22016,theory(equality)]) ).
cnf(22020,plain,
( sdtasdt0(sz00,xn) = sz00
| $false ),
inference(rw,[status(thm)],[17386,21996,theory(equality)]) ).
cnf(22021,plain,
sdtasdt0(sz00,xn) = sz00,
inference(cn,[status(thm)],[22020,theory(equality)]) ).
cnf(22596,plain,
sdtasdt0(sz00,xq) = sz00,
inference(rw,[status(thm)],[22017,22021,theory(equality)]) ).
cnf(30092,plain,
( sdtpldt0(xq,sz00) = sdtasdt0(sdtpldt0(sz10,sz00),xq)
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sz00) ),
inference(spm,[status(thm)],[735,22596,theory(equality)]) ).
cnf(30242,plain,
( sdtpldt0(xq,sz00) = sdtasdt0(sdtpldt0(sz10,sz00),xq)
| $false
| ~ aNaturalNumber0(sz00) ),
inference(rw,[status(thm)],[30092,21996,theory(equality)]) ).
cnf(30243,plain,
( sdtpldt0(xq,sz00) = sdtasdt0(sdtpldt0(sz10,sz00),xq)
| $false
| $false ),
inference(rw,[status(thm)],[30242,194,theory(equality)]) ).
cnf(30244,plain,
sdtpldt0(xq,sz00) = sdtasdt0(sdtpldt0(sz10,sz00),xq),
inference(cn,[status(thm)],[30243,theory(equality)]) ).
cnf(37027,plain,
( sdtasdt0(sz10,xq) = sdtpldt0(xq,sz00)
| ~ aNaturalNumber0(sz10) ),
inference(spm,[status(thm)],[30244,230,theory(equality)]) ).
cnf(37107,plain,
( sdtasdt0(sz10,xq) = sdtpldt0(xq,sz00)
| $false ),
inference(rw,[status(thm)],[37027,159,theory(equality)]) ).
cnf(37108,plain,
sdtasdt0(sz10,xq) = sdtpldt0(xq,sz00),
inference(cn,[status(thm)],[37107,theory(equality)]) ).
cnf(37283,plain,
( sdtasdt0(sz10,xq) = xq
| ~ aNaturalNumber0(xq) ),
inference(spm,[status(thm)],[230,37108,theory(equality)]) ).
cnf(37328,plain,
( sdtasdt0(sz10,xq) = xq
| $false ),
inference(rw,[status(thm)],[37283,21996,theory(equality)]) ).
cnf(37329,plain,
sdtasdt0(sz10,xq) = xq,
inference(cn,[status(thm)],[37328,theory(equality)]) ).
cnf(37481,plain,
( aNaturalNumber0(sdtasdt0(X1,xq))
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1) ),
inference(spm,[status(thm)],[5546,37329,theory(equality)]) ).
cnf(37638,plain,
( aNaturalNumber0(sdtasdt0(X1,xq))
| $false
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1) ),
inference(rw,[status(thm)],[37481,21996,theory(equality)]) ).
cnf(37639,plain,
( aNaturalNumber0(sdtasdt0(X1,xq))
| $false
| $false
| ~ aNaturalNumber0(X1) ),
inference(rw,[status(thm)],[37638,159,theory(equality)]) ).
cnf(37640,plain,
( aNaturalNumber0(sdtasdt0(X1,xq))
| ~ aNaturalNumber0(X1) ),
inference(cn,[status(thm)],[37639,theory(equality)]) ).
cnf(41066,plain,
( aNaturalNumber0(sdtasdt0(xq,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(xq) ),
inference(spm,[status(thm)],[37640,215,theory(equality)]) ).
cnf(41109,plain,
( aNaturalNumber0(sdtasdt0(xq,X1))
| ~ aNaturalNumber0(X1)
| $false ),
inference(rw,[status(thm)],[41066,21996,theory(equality)]) ).
cnf(41110,plain,
( aNaturalNumber0(sdtasdt0(xq,X1))
| ~ aNaturalNumber0(X1) ),
inference(cn,[status(thm)],[41109,theory(equality)]) ).
cnf(103404,plain,
( sdtasdt0(xp,sdtasdt0(X1,X2)) = sdtasdt0(xn,X2)
| xq != X1
| ~ aNaturalNumber0(X2) ),
inference(csr,[status(thm)],[1084,665]) ).
cnf(103442,plain,
( sdtasdt0(xn,xq) != sdtasdt0(xm,xm)
| ~ aNaturalNumber0(xq) ),
inference(spm,[status(thm)],[160,103404,theory(equality)]) ).
cnf(103823,plain,
( sdtasdt0(xn,xq) != sdtasdt0(xm,xm)
| $false ),
inference(rw,[status(thm)],[103442,21996,theory(equality)]) ).
cnf(103824,plain,
sdtasdt0(xn,xq) != sdtasdt0(xm,xm),
inference(cn,[status(thm)],[103823,theory(equality)]) ).
cnf(115046,plain,
( sdtasdt0(X1,sdtasdt0(xp,X2)) = sdtasdt0(xn,X2)
| xq != X1
| ~ aNaturalNumber0(X2) ),
inference(csr,[status(thm)],[1198,665]) ).
cnf(115048,plain,
( sdtasdt0(X1,xn) = sdtasdt0(xn,xq)
| xq != X1
| ~ aNaturalNumber0(xq) ),
inference(spm,[status(thm)],[115046,13145,theory(equality)]) ).
cnf(115353,plain,
( sdtasdt0(X1,xn) = sdtasdt0(xn,xq)
| xq != X1
| $false ),
inference(rw,[status(thm)],[115048,21996,theory(equality)]) ).
cnf(115354,plain,
( sdtasdt0(X1,xn) = sdtasdt0(xn,xq)
| xq != X1 ),
inference(cn,[status(thm)],[115353,theory(equality)]) ).
cnf(162829,plain,
( aNaturalNumber0(sdtasdt0(xn,xq))
| ~ aNaturalNumber0(xn) ),
inference(spm,[status(thm)],[41110,115354,theory(equality)]) ).
cnf(162947,plain,
( sdtasdt0(xp,sdtasdt0(xn,xq)) = sdtasdt0(xn,xn)
| xq != X1
| ~ aNaturalNumber0(xn) ),
inference(spm,[status(thm)],[103404,115354,theory(equality)]) ).
cnf(163501,plain,
( aNaturalNumber0(sdtasdt0(xn,xq))
| $false ),
inference(rw,[status(thm)],[162829,225,theory(equality)]) ).
cnf(163502,plain,
aNaturalNumber0(sdtasdt0(xn,xq)),
inference(cn,[status(thm)],[163501,theory(equality)]) ).
cnf(163800,plain,
( sdtasdt0(xp,sdtasdt0(xn,xq)) = sdtasdt0(xn,xn)
| xq != X1
| $false ),
inference(rw,[status(thm)],[162947,225,theory(equality)]) ).
cnf(163801,plain,
( sdtasdt0(xp,sdtasdt0(xn,xq)) = sdtasdt0(xn,xn)
| xq != X1 ),
inference(cn,[status(thm)],[163800,theory(equality)]) ).
cnf(217118,plain,
sdtasdt0(xp,sdtasdt0(xn,xq)) = sdtasdt0(xn,xn),
inference(er,[status(thm)],[163801,theory(equality)]) ).
cnf(2753993,plain,
( sdtasdt0(xm,xm) = sdtasdt0(xn,xq)
| ~ aNaturalNumber0(sdtasdt0(xn,xq)) ),
inference(spm,[status(thm)],[11041,217118,theory(equality)]) ).
cnf(2754259,plain,
( sdtasdt0(xm,xm) = sdtasdt0(xn,xq)
| $false ),
inference(rw,[status(thm)],[2753993,163502,theory(equality)]) ).
cnf(2754260,plain,
sdtasdt0(xm,xm) = sdtasdt0(xn,xq),
inference(cn,[status(thm)],[2754259,theory(equality)]) ).
cnf(2754261,plain,
$false,
inference(sr,[status(thm)],[2754260,103824,theory(equality)]) ).
cnf(2754262,plain,
$false,
2754261,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : NUM524+1 : TPTP v7.0.0. Released v4.0.0.
% 0.00/0.04 % Command : Source/sine.py -e eprover -t %d %s
% 0.03/0.24 % Computer : n114.star.cs.uiowa.edu
% 0.03/0.24 % Model : x86_64 x86_64
% 0.03/0.24 % CPU : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
% 0.03/0.24 % Memory : 32218.625MB
% 0.03/0.24 % OS : Linux 3.10.0-693.2.2.el7.x86_64
% 0.03/0.24 % CPULimit : 300
% 0.03/0.24 % DateTime : Fri Jan 5 08:30:45 CST 2018
% 0.03/0.24 % CPUTime :
% 0.06/0.28 % SZS status Started for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.06/0.28 --creating new selector for []
% 29.01/29.37 eprover: CPU time limit exceeded, terminating
% 84.26/87.41 -running prover on /export/starexec/sandbox2/tmp/tmp52FU3_/sel_theBenchmark.p_1 with time limit 29
% 84.26/87.41 -running prover with command ['/export/starexec/sandbox2/solver/bin/Source/./Source/PROVER/eproof.working', '-s', '-tLPO4', '-xAuto', '-tAuto', '--memory-limit=768', '--tptp3-format', '--cpu-limit=29', '/export/starexec/sandbox2/tmp/tmp52FU3_/sel_theBenchmark.p_1']
% 84.26/87.41 -prover status ResourceOut
% 84.26/87.41 -running prover on /export/starexec/sandbox2/tmp/tmp52FU3_/sel_theBenchmark.p_2 with time limit 80
% 84.26/87.41 -running prover with command ['/export/starexec/sandbox2/solver/bin/Source/./Source/PROVER/eproof.working', '-s', '-tLPO4', '-xAuto', '-tAuto', '--memory-limit=768', '--tptp3-format', '--cpu-limit=80', '/export/starexec/sandbox2/tmp/tmp52FU3_/sel_theBenchmark.p_2']
% 84.26/87.41 -prover status Theorem
% 84.26/87.41 Problem theBenchmark.p solved in phase 1.
% 84.26/87.41 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 84.26/87.41 % SZS status Ended for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 84.26/87.41 Solved 1 out of 1.
% 84.26/87.41 # Problem is unsatisfiable (or provable), constructing proof object
% 84.26/87.41 # SZS status Theorem
% 84.26/87.41 # SZS output start CNFRefutation.
% See solution above
% 84.26/87.42 # SZS output end CNFRefutation
%------------------------------------------------------------------------------