TSTP Solution File: NUM512+3 by SInE---0.4
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- Process Solution
%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : NUM512+3 : TPTP v7.0.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : n075.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 15:21:36 EST 2018
% Result : Theorem 0.42s
% Output : CNFRefutation 0.42s
% Verified :
% SZS Type : Refutation
% Derivation depth : 40
% Number of leaves : 13
% Syntax : Number of formulae : 116 ( 23 unt; 0 def)
% Number of atoms : 546 ( 80 equ)
% Maximal formula atoms : 19 ( 4 avg)
% Number of connectives : 682 ( 252 ~; 264 |; 148 &)
% ( 2 <=>; 16 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 16 ( 16 usr; 12 con; 0-2 aty)
% Number of variables : 124 ( 0 sgn 79 !; 16 ?)
% Comments :
%------------------------------------------------------------------------------
fof(5,axiom,
( aNaturalNumber0(xr)
& ? [X1] :
( aNaturalNumber0(X1)
& equal(xk,sdtasdt0(xr,X1)) )
& doDivides0(xr,xk)
& ~ equal(xr,sz00)
& ~ equal(xr,sz10)
& ! [X1] :
( ( aNaturalNumber0(X1)
& ( ? [X2] :
( aNaturalNumber0(X2)
& equal(xr,sdtasdt0(X1,X2)) )
| doDivides0(X1,xr) ) )
=> ( equal(X1,sz10)
| equal(X1,xr) ) )
& isPrime0(xr) ),
file('/export/starexec/sandbox2/tmp/tmp9henhh/sel_theBenchmark.p_1',m__2342) ).
fof(9,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/tmp9henhh/sel_theBenchmark.p_1',mMulCanc) ).
fof(10,axiom,
( ? [X1] :
( aNaturalNumber0(X1)
& equal(xn,sdtasdt0(xr,X1)) )
& doDivides0(xr,xn) ),
file('/export/starexec/sandbox2/tmp/tmp9henhh/sel_theBenchmark.p_1',m__2487) ).
fof(14,axiom,
! [X1,X2] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> ( doDivides0(X1,X2)
<=> ? [X3] :
( aNaturalNumber0(X3)
& equal(X2,sdtasdt0(X1,X3)) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp9henhh/sel_theBenchmark.p_1',mDefDiv) ).
fof(22,axiom,
( aNaturalNumber0(xn)
& aNaturalNumber0(xm)
& aNaturalNumber0(xp) ),
file('/export/starexec/sandbox2/tmp/tmp9henhh/sel_theBenchmark.p_1',m__1837) ).
fof(26,axiom,
( ~ ( ( aNaturalNumber0(sdtsldt0(xn,xr))
& equal(xn,sdtasdt0(xr,sdtsldt0(xn,xr))) )
=> equal(sdtsldt0(xn,xr),xn) )
& aNaturalNumber0(sdtsldt0(xn,xr))
& equal(xn,sdtasdt0(xr,sdtsldt0(xn,xr)))
& ? [X1] :
( aNaturalNumber0(X1)
& equal(sdtpldt0(sdtsldt0(xn,xr),X1),xn) )
& sdtlseqdt0(sdtsldt0(xn,xr),xn) ),
file('/export/starexec/sandbox2/tmp/tmp9henhh/sel_theBenchmark.p_1',m__2504) ).
fof(32,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/tmp9henhh/sel_theBenchmark.p_1',mDefQuot) ).
fof(36,conjecture,
( ( ( aNaturalNumber0(sdtsldt0(xn,xr))
& equal(xn,sdtasdt0(xr,sdtsldt0(xn,xr))) )
=> equal(sdtasdt0(sdtasdt0(sdtsldt0(xn,xr),xm),xr),sdtasdt0(xn,xm)) )
& ( ( aNaturalNumber0(sdtsldt0(sdtasdt0(xp,xk),xr))
& equal(sdtasdt0(xp,xk),sdtasdt0(xr,sdtsldt0(sdtasdt0(xp,xk),xr))) )
=> equal(sdtasdt0(xn,xm),sdtasdt0(sdtsldt0(sdtasdt0(xp,xk),xr),xr)) ) ),
file('/export/starexec/sandbox2/tmp/tmp9henhh/sel_theBenchmark.p_1',m__) ).
fof(37,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/tmp9henhh/sel_theBenchmark.p_1',mMulAsso) ).
fof(41,axiom,
! [X1,X2] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> aNaturalNumber0(sdtasdt0(X1,X2)) ),
file('/export/starexec/sandbox2/tmp/tmp9henhh/sel_theBenchmark.p_1',mSortsB_02) ).
fof(48,axiom,
( aNaturalNumber0(xk)
& equal(sdtasdt0(xn,xm),sdtasdt0(xp,xk))
& equal(xk,sdtsldt0(sdtasdt0(xn,xm),xp)) ),
file('/export/starexec/sandbox2/tmp/tmp9henhh/sel_theBenchmark.p_1',m__2306) ).
fof(49,axiom,
! [X1,X2] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> equal(sdtasdt0(X1,X2),sdtasdt0(X2,X1)) ),
file('/export/starexec/sandbox2/tmp/tmp9henhh/sel_theBenchmark.p_1',mMulComm) ).
fof(53,axiom,
( ? [X1] :
( aNaturalNumber0(X1)
& equal(sdtpldt0(xr,X1),xk) )
& ? [X1] :
( aNaturalNumber0(X1)
& equal(sdtasdt0(xn,xm),sdtasdt0(xr,X1)) )
& doDivides0(xr,sdtasdt0(xn,xm)) ),
file('/export/starexec/sandbox2/tmp/tmp9henhh/sel_theBenchmark.p_1',m__2362) ).
fof(55,negated_conjecture,
~ ( ( ( aNaturalNumber0(sdtsldt0(xn,xr))
& equal(xn,sdtasdt0(xr,sdtsldt0(xn,xr))) )
=> equal(sdtasdt0(sdtasdt0(sdtsldt0(xn,xr),xm),xr),sdtasdt0(xn,xm)) )
& ( ( aNaturalNumber0(sdtsldt0(sdtasdt0(xp,xk),xr))
& equal(sdtasdt0(xp,xk),sdtasdt0(xr,sdtsldt0(sdtasdt0(xp,xk),xr))) )
=> equal(sdtasdt0(xn,xm),sdtasdt0(sdtsldt0(sdtasdt0(xp,xk),xr),xr)) ) ),
inference(assume_negation,[status(cth)],[36]) ).
fof(89,plain,
( aNaturalNumber0(xr)
& ? [X1] :
( aNaturalNumber0(X1)
& equal(xk,sdtasdt0(xr,X1)) )
& doDivides0(xr,xk)
& ~ equal(xr,sz00)
& ~ equal(xr,sz10)
& ! [X1] :
( ~ aNaturalNumber0(X1)
| ( ! [X2] :
( ~ aNaturalNumber0(X2)
| ~ equal(xr,sdtasdt0(X1,X2)) )
& ~ doDivides0(X1,xr) )
| equal(X1,sz10)
| equal(X1,xr) )
& isPrime0(xr) ),
inference(fof_nnf,[status(thm)],[5]) ).
fof(90,plain,
( aNaturalNumber0(xr)
& ? [X3] :
( aNaturalNumber0(X3)
& equal(xk,sdtasdt0(xr,X3)) )
& doDivides0(xr,xk)
& ~ equal(xr,sz00)
& ~ equal(xr,sz10)
& ! [X4] :
( ~ aNaturalNumber0(X4)
| ( ! [X5] :
( ~ aNaturalNumber0(X5)
| ~ equal(xr,sdtasdt0(X4,X5)) )
& ~ doDivides0(X4,xr) )
| equal(X4,sz10)
| equal(X4,xr) )
& isPrime0(xr) ),
inference(variable_rename,[status(thm)],[89]) ).
fof(91,plain,
( aNaturalNumber0(xr)
& aNaturalNumber0(esk4_0)
& equal(xk,sdtasdt0(xr,esk4_0))
& doDivides0(xr,xk)
& ~ equal(xr,sz00)
& ~ equal(xr,sz10)
& ! [X4] :
( ~ aNaturalNumber0(X4)
| ( ! [X5] :
( ~ aNaturalNumber0(X5)
| ~ equal(xr,sdtasdt0(X4,X5)) )
& ~ doDivides0(X4,xr) )
| equal(X4,sz10)
| equal(X4,xr) )
& isPrime0(xr) ),
inference(skolemize,[status(esa)],[90]) ).
fof(92,plain,
! [X4,X5] :
( ( ( ( ~ aNaturalNumber0(X5)
| ~ equal(xr,sdtasdt0(X4,X5)) )
& ~ doDivides0(X4,xr) )
| ~ aNaturalNumber0(X4)
| equal(X4,sz10)
| equal(X4,xr) )
& aNaturalNumber0(xr)
& aNaturalNumber0(esk4_0)
& equal(xk,sdtasdt0(xr,esk4_0))
& doDivides0(xr,xk)
& ~ equal(xr,sz00)
& ~ equal(xr,sz10)
& isPrime0(xr) ),
inference(shift_quantors,[status(thm)],[91]) ).
fof(93,plain,
! [X4,X5] :
( ( ~ aNaturalNumber0(X5)
| ~ equal(xr,sdtasdt0(X4,X5))
| ~ aNaturalNumber0(X4)
| equal(X4,sz10)
| equal(X4,xr) )
& ( ~ doDivides0(X4,xr)
| ~ aNaturalNumber0(X4)
| equal(X4,sz10)
| equal(X4,xr) )
& aNaturalNumber0(xr)
& aNaturalNumber0(esk4_0)
& equal(xk,sdtasdt0(xr,esk4_0))
& doDivides0(xr,xk)
& ~ equal(xr,sz00)
& ~ equal(xr,sz10)
& isPrime0(xr) ),
inference(distribute,[status(thm)],[92]) ).
cnf(96,plain,
xr != sz00,
inference(split_conjunct,[status(thm)],[93]) ).
cnf(100,plain,
aNaturalNumber0(xr),
inference(split_conjunct,[status(thm)],[93]) ).
fof(112,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)],[9]) ).
fof(113,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)],[112]) ).
fof(114,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)],[113]) ).
fof(115,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)],[114]) ).
cnf(117,plain,
( X1 = sz00
| X3 = X2
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| sdtasdt0(X1,X3) != sdtasdt0(X1,X2) ),
inference(split_conjunct,[status(thm)],[115]) ).
fof(118,plain,
( ? [X2] :
( aNaturalNumber0(X2)
& equal(xn,sdtasdt0(xr,X2)) )
& doDivides0(xr,xn) ),
inference(variable_rename,[status(thm)],[10]) ).
fof(119,plain,
( aNaturalNumber0(esk5_0)
& equal(xn,sdtasdt0(xr,esk5_0))
& doDivides0(xr,xn) ),
inference(skolemize,[status(esa)],[118]) ).
cnf(121,plain,
xn = sdtasdt0(xr,esk5_0),
inference(split_conjunct,[status(thm)],[119]) ).
cnf(122,plain,
aNaturalNumber0(esk5_0),
inference(split_conjunct,[status(thm)],[119]) ).
fof(261,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)],[14]) ).
fof(262,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)],[261]) ).
fof(263,plain,
! [X4,X5] :
( ~ aNaturalNumber0(X4)
| ~ aNaturalNumber0(X5)
| ( ( ~ doDivides0(X4,X5)
| ( aNaturalNumber0(esk10_2(X4,X5))
& equal(X5,sdtasdt0(X4,esk10_2(X4,X5))) ) )
& ( ! [X7] :
( ~ aNaturalNumber0(X7)
| ~ equal(X5,sdtasdt0(X4,X7)) )
| doDivides0(X4,X5) ) ) ),
inference(skolemize,[status(esa)],[262]) ).
fof(264,plain,
! [X4,X5,X7] :
( ( ( ~ aNaturalNumber0(X7)
| ~ equal(X5,sdtasdt0(X4,X7))
| doDivides0(X4,X5) )
& ( ~ doDivides0(X4,X5)
| ( aNaturalNumber0(esk10_2(X4,X5))
& equal(X5,sdtasdt0(X4,esk10_2(X4,X5))) ) ) )
| ~ aNaturalNumber0(X4)
| ~ aNaturalNumber0(X5) ),
inference(shift_quantors,[status(thm)],[263]) ).
fof(265,plain,
! [X4,X5,X7] :
( ( ~ aNaturalNumber0(X7)
| ~ equal(X5,sdtasdt0(X4,X7))
| doDivides0(X4,X5)
| ~ aNaturalNumber0(X4)
| ~ aNaturalNumber0(X5) )
& ( aNaturalNumber0(esk10_2(X4,X5))
| ~ doDivides0(X4,X5)
| ~ aNaturalNumber0(X4)
| ~ aNaturalNumber0(X5) )
& ( equal(X5,sdtasdt0(X4,esk10_2(X4,X5)))
| ~ doDivides0(X4,X5)
| ~ aNaturalNumber0(X4)
| ~ aNaturalNumber0(X5) ) ),
inference(distribute,[status(thm)],[264]) ).
cnf(268,plain,
( doDivides0(X2,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| X1 != sdtasdt0(X2,X3)
| ~ aNaturalNumber0(X3) ),
inference(split_conjunct,[status(thm)],[265]) ).
cnf(301,plain,
aNaturalNumber0(xp),
inference(split_conjunct,[status(thm)],[22]) ).
cnf(302,plain,
aNaturalNumber0(xm),
inference(split_conjunct,[status(thm)],[22]) ).
cnf(303,plain,
aNaturalNumber0(xn),
inference(split_conjunct,[status(thm)],[22]) ).
fof(321,plain,
( aNaturalNumber0(sdtsldt0(xn,xr))
& equal(xn,sdtasdt0(xr,sdtsldt0(xn,xr)))
& ~ equal(sdtsldt0(xn,xr),xn)
& aNaturalNumber0(sdtsldt0(xn,xr))
& equal(xn,sdtasdt0(xr,sdtsldt0(xn,xr)))
& ? [X1] :
( aNaturalNumber0(X1)
& equal(sdtpldt0(sdtsldt0(xn,xr),X1),xn) )
& sdtlseqdt0(sdtsldt0(xn,xr),xn) ),
inference(fof_nnf,[status(thm)],[26]) ).
fof(322,plain,
( aNaturalNumber0(sdtsldt0(xn,xr))
& equal(xn,sdtasdt0(xr,sdtsldt0(xn,xr)))
& ~ equal(sdtsldt0(xn,xr),xn)
& aNaturalNumber0(sdtsldt0(xn,xr))
& equal(xn,sdtasdt0(xr,sdtsldt0(xn,xr)))
& ? [X2] :
( aNaturalNumber0(X2)
& equal(sdtpldt0(sdtsldt0(xn,xr),X2),xn) )
& sdtlseqdt0(sdtsldt0(xn,xr),xn) ),
inference(variable_rename,[status(thm)],[321]) ).
fof(323,plain,
( aNaturalNumber0(sdtsldt0(xn,xr))
& equal(xn,sdtasdt0(xr,sdtsldt0(xn,xr)))
& ~ equal(sdtsldt0(xn,xr),xn)
& aNaturalNumber0(sdtsldt0(xn,xr))
& equal(xn,sdtasdt0(xr,sdtsldt0(xn,xr)))
& aNaturalNumber0(esk14_0)
& equal(sdtpldt0(sdtsldt0(xn,xr),esk14_0),xn)
& sdtlseqdt0(sdtsldt0(xn,xr),xn) ),
inference(skolemize,[status(esa)],[322]) ).
cnf(327,plain,
xn = sdtasdt0(xr,sdtsldt0(xn,xr)),
inference(split_conjunct,[status(thm)],[323]) ).
cnf(328,plain,
aNaturalNumber0(sdtsldt0(xn,xr)),
inference(split_conjunct,[status(thm)],[323]) ).
fof(356,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)],[32]) ).
fof(357,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)],[356]) ).
fof(358,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)],[357]) ).
fof(359,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)],[358]) ).
cnf(360,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)],[359]) ).
fof(373,negated_conjecture,
( ( aNaturalNumber0(sdtsldt0(xn,xr))
& equal(xn,sdtasdt0(xr,sdtsldt0(xn,xr)))
& ~ equal(sdtasdt0(sdtasdt0(sdtsldt0(xn,xr),xm),xr),sdtasdt0(xn,xm)) )
| ( aNaturalNumber0(sdtsldt0(sdtasdt0(xp,xk),xr))
& equal(sdtasdt0(xp,xk),sdtasdt0(xr,sdtsldt0(sdtasdt0(xp,xk),xr)))
& ~ equal(sdtasdt0(xn,xm),sdtasdt0(sdtsldt0(sdtasdt0(xp,xk),xr),xr)) ) ),
inference(fof_nnf,[status(thm)],[55]) ).
fof(374,negated_conjecture,
( ( aNaturalNumber0(sdtsldt0(sdtasdt0(xp,xk),xr))
| aNaturalNumber0(sdtsldt0(xn,xr)) )
& ( equal(sdtasdt0(xp,xk),sdtasdt0(xr,sdtsldt0(sdtasdt0(xp,xk),xr)))
| aNaturalNumber0(sdtsldt0(xn,xr)) )
& ( ~ equal(sdtasdt0(xn,xm),sdtasdt0(sdtsldt0(sdtasdt0(xp,xk),xr),xr))
| aNaturalNumber0(sdtsldt0(xn,xr)) )
& ( aNaturalNumber0(sdtsldt0(sdtasdt0(xp,xk),xr))
| equal(xn,sdtasdt0(xr,sdtsldt0(xn,xr))) )
& ( equal(sdtasdt0(xp,xk),sdtasdt0(xr,sdtsldt0(sdtasdt0(xp,xk),xr)))
| equal(xn,sdtasdt0(xr,sdtsldt0(xn,xr))) )
& ( ~ equal(sdtasdt0(xn,xm),sdtasdt0(sdtsldt0(sdtasdt0(xp,xk),xr),xr))
| equal(xn,sdtasdt0(xr,sdtsldt0(xn,xr))) )
& ( aNaturalNumber0(sdtsldt0(sdtasdt0(xp,xk),xr))
| ~ equal(sdtasdt0(sdtasdt0(sdtsldt0(xn,xr),xm),xr),sdtasdt0(xn,xm)) )
& ( equal(sdtasdt0(xp,xk),sdtasdt0(xr,sdtsldt0(sdtasdt0(xp,xk),xr)))
| ~ equal(sdtasdt0(sdtasdt0(sdtsldt0(xn,xr),xm),xr),sdtasdt0(xn,xm)) )
& ( ~ equal(sdtasdt0(xn,xm),sdtasdt0(sdtsldt0(sdtasdt0(xp,xk),xr),xr))
| ~ equal(sdtasdt0(sdtasdt0(sdtsldt0(xn,xr),xm),xr),sdtasdt0(xn,xm)) ) ),
inference(distribute,[status(thm)],[373]) ).
cnf(375,negated_conjecture,
( sdtasdt0(sdtasdt0(sdtsldt0(xn,xr),xm),xr) != sdtasdt0(xn,xm)
| sdtasdt0(xn,xm) != sdtasdt0(sdtsldt0(sdtasdt0(xp,xk),xr),xr) ),
inference(split_conjunct,[status(thm)],[374]) ).
fof(384,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)],[37]) ).
fof(385,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)],[384]) ).
cnf(386,plain,
( sdtasdt0(sdtasdt0(X1,X2),X3) = sdtasdt0(X1,sdtasdt0(X2,X3))
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[385]) ).
fof(402,plain,
! [X1,X2] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| aNaturalNumber0(sdtasdt0(X1,X2)) ),
inference(fof_nnf,[status(thm)],[41]) ).
fof(403,plain,
! [X3,X4] :
( ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X4)
| aNaturalNumber0(sdtasdt0(X3,X4)) ),
inference(variable_rename,[status(thm)],[402]) ).
cnf(404,plain,
( aNaturalNumber0(sdtasdt0(X1,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[403]) ).
cnf(437,plain,
sdtasdt0(xn,xm) = sdtasdt0(xp,xk),
inference(split_conjunct,[status(thm)],[48]) ).
cnf(438,plain,
aNaturalNumber0(xk),
inference(split_conjunct,[status(thm)],[48]) ).
fof(439,plain,
! [X1,X2] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| equal(sdtasdt0(X1,X2),sdtasdt0(X2,X1)) ),
inference(fof_nnf,[status(thm)],[49]) ).
fof(440,plain,
! [X3,X4] :
( ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X4)
| equal(sdtasdt0(X3,X4),sdtasdt0(X4,X3)) ),
inference(variable_rename,[status(thm)],[439]) ).
cnf(441,plain,
( sdtasdt0(X1,X2) = sdtasdt0(X2,X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[440]) ).
fof(456,plain,
( ? [X2] :
( aNaturalNumber0(X2)
& equal(sdtpldt0(xr,X2),xk) )
& ? [X3] :
( aNaturalNumber0(X3)
& equal(sdtasdt0(xn,xm),sdtasdt0(xr,X3)) )
& doDivides0(xr,sdtasdt0(xn,xm)) ),
inference(variable_rename,[status(thm)],[53]) ).
fof(457,plain,
( aNaturalNumber0(esk18_0)
& equal(sdtpldt0(xr,esk18_0),xk)
& aNaturalNumber0(esk19_0)
& equal(sdtasdt0(xn,xm),sdtasdt0(xr,esk19_0))
& doDivides0(xr,sdtasdt0(xn,xm)) ),
inference(skolemize,[status(esa)],[456]) ).
cnf(459,plain,
sdtasdt0(xn,xm) = sdtasdt0(xr,esk19_0),
inference(split_conjunct,[status(thm)],[457]) ).
cnf(460,plain,
aNaturalNumber0(esk19_0),
inference(split_conjunct,[status(thm)],[457]) ).
cnf(472,plain,
( aNaturalNumber0(sdtasdt0(xn,xm))
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(xp) ),
inference(spm,[status(thm)],[404,437,theory(equality)]) ).
cnf(484,plain,
( aNaturalNumber0(sdtasdt0(xn,xm))
| $false
| ~ aNaturalNumber0(xp) ),
inference(rw,[status(thm)],[472,438,theory(equality)]) ).
cnf(485,plain,
( aNaturalNumber0(sdtasdt0(xn,xm))
| $false
| $false ),
inference(rw,[status(thm)],[484,301,theory(equality)]) ).
cnf(486,plain,
aNaturalNumber0(sdtasdt0(xn,xm)),
inference(cn,[status(thm)],[485,theory(equality)]) ).
cnf(1488,plain,
( sz00 = xr
| esk5_0 = X1
| xn != sdtasdt0(xr,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(esk5_0)
| ~ aNaturalNumber0(xr) ),
inference(spm,[status(thm)],[117,121,theory(equality)]) ).
cnf(1524,plain,
( sz00 = xr
| esk5_0 = X1
| xn != sdtasdt0(xr,X1)
| ~ aNaturalNumber0(X1)
| $false
| ~ aNaturalNumber0(xr) ),
inference(rw,[status(thm)],[1488,122,theory(equality)]) ).
cnf(1525,plain,
( sz00 = xr
| esk5_0 = X1
| xn != sdtasdt0(xr,X1)
| ~ aNaturalNumber0(X1)
| $false
| $false ),
inference(rw,[status(thm)],[1524,100,theory(equality)]) ).
cnf(1526,plain,
( sz00 = xr
| esk5_0 = X1
| xn != sdtasdt0(xr,X1)
| ~ aNaturalNumber0(X1) ),
inference(cn,[status(thm)],[1525,theory(equality)]) ).
cnf(1527,plain,
( esk5_0 = X1
| sdtasdt0(xr,X1) != xn
| ~ aNaturalNumber0(X1) ),
inference(sr,[status(thm)],[1526,96,theory(equality)]) ).
cnf(1914,plain,
( sdtsldt0(X1,X2) = X3
| sz00 = X2
| sdtasdt0(X2,X3) != X1
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(csr,[status(thm)],[360,268]) ).
cnf(1921,plain,
( sdtsldt0(X1,xr) = esk19_0
| sz00 = xr
| sdtasdt0(xn,xm) != X1
| ~ aNaturalNumber0(esk19_0)
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X1) ),
inference(spm,[status(thm)],[1914,459,theory(equality)]) ).
cnf(1951,plain,
( sdtsldt0(X1,xr) = esk19_0
| sz00 = xr
| sdtasdt0(xn,xm) != X1
| $false
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X1) ),
inference(rw,[status(thm)],[1921,460,theory(equality)]) ).
cnf(1952,plain,
( sdtsldt0(X1,xr) = esk19_0
| sz00 = xr
| sdtasdt0(xn,xm) != X1
| $false
| $false
| ~ aNaturalNumber0(X1) ),
inference(rw,[status(thm)],[1951,100,theory(equality)]) ).
cnf(1953,plain,
( sdtsldt0(X1,xr) = esk19_0
| sz00 = xr
| sdtasdt0(xn,xm) != X1
| ~ aNaturalNumber0(X1) ),
inference(cn,[status(thm)],[1952,theory(equality)]) ).
cnf(1954,plain,
( sdtsldt0(X1,xr) = esk19_0
| sdtasdt0(xn,xm) != X1
| ~ aNaturalNumber0(X1) ),
inference(sr,[status(thm)],[1953,96,theory(equality)]) ).
cnf(2069,negated_conjecture,
( sdtasdt0(sdtasdt0(sdtsldt0(xn,xr),xm),xr) != sdtasdt0(xn,xm)
| sdtasdt0(sdtsldt0(sdtasdt0(xn,xm),xr),xr) != sdtasdt0(xn,xm) ),
inference(rw,[status(thm)],[375,437,theory(equality)]) ).
cnf(14030,plain,
( esk5_0 = sdtsldt0(xn,xr)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(spm,[status(thm)],[1527,327,theory(equality)]) ).
cnf(14042,plain,
( esk5_0 = sdtsldt0(xn,xr)
| $false ),
inference(rw,[status(thm)],[14030,328,theory(equality)]) ).
cnf(14043,plain,
esk5_0 = sdtsldt0(xn,xr),
inference(cn,[status(thm)],[14042,theory(equality)]) ).
cnf(14064,plain,
sdtasdt0(xr,esk5_0) = xn,
inference(rw,[status(thm)],[327,14043,theory(equality)]) ).
cnf(14071,negated_conjecture,
( sdtasdt0(sdtasdt0(esk5_0,xm),xr) != sdtasdt0(xn,xm)
| sdtasdt0(sdtsldt0(sdtasdt0(xn,xm),xr),xr) != sdtasdt0(xn,xm) ),
inference(rw,[status(thm)],[2069,14043,theory(equality)]) ).
cnf(17391,plain,
( sdtsldt0(sdtasdt0(xn,xm),xr) = esk19_0
| ~ aNaturalNumber0(sdtasdt0(xn,xm)) ),
inference(er,[status(thm)],[1954,theory(equality)]) ).
cnf(17392,plain,
( sdtsldt0(sdtasdt0(xn,xm),xr) = esk19_0
| $false ),
inference(rw,[status(thm)],[17391,486,theory(equality)]) ).
cnf(17393,plain,
sdtsldt0(sdtasdt0(xn,xm),xr) = esk19_0,
inference(cn,[status(thm)],[17392,theory(equality)]) ).
cnf(17398,negated_conjecture,
( sdtasdt0(esk19_0,xr) != sdtasdt0(xn,xm)
| sdtasdt0(sdtasdt0(esk5_0,xm),xr) != sdtasdt0(xn,xm) ),
inference(rw,[status(thm)],[14071,17393,theory(equality)]) ).
cnf(17413,negated_conjecture,
( sdtasdt0(sdtasdt0(esk5_0,xm),xr) != sdtasdt0(xn,xm)
| sdtasdt0(xr,esk19_0) != sdtasdt0(xn,xm)
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(esk19_0) ),
inference(spm,[status(thm)],[17398,441,theory(equality)]) ).
cnf(17415,negated_conjecture,
( sdtasdt0(sdtasdt0(esk5_0,xm),xr) != sdtasdt0(xn,xm)
| $false
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(esk19_0) ),
inference(rw,[status(thm)],[17413,459,theory(equality)]) ).
cnf(17416,negated_conjecture,
( sdtasdt0(sdtasdt0(esk5_0,xm),xr) != sdtasdt0(xn,xm)
| $false
| $false
| ~ aNaturalNumber0(esk19_0) ),
inference(rw,[status(thm)],[17415,100,theory(equality)]) ).
cnf(17417,negated_conjecture,
( sdtasdt0(sdtasdt0(esk5_0,xm),xr) != sdtasdt0(xn,xm)
| $false
| $false
| $false ),
inference(rw,[status(thm)],[17416,460,theory(equality)]) ).
cnf(17418,negated_conjecture,
sdtasdt0(sdtasdt0(esk5_0,xm),xr) != sdtasdt0(xn,xm),
inference(cn,[status(thm)],[17417,theory(equality)]) ).
cnf(17544,negated_conjecture,
( sdtasdt0(sdtasdt0(xm,esk5_0),xr) != sdtasdt0(xn,xm)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(esk5_0) ),
inference(spm,[status(thm)],[17418,441,theory(equality)]) ).
cnf(17549,negated_conjecture,
( sdtasdt0(sdtasdt0(xm,esk5_0),xr) != sdtasdt0(xn,xm)
| $false
| ~ aNaturalNumber0(esk5_0) ),
inference(rw,[status(thm)],[17544,302,theory(equality)]) ).
cnf(17550,negated_conjecture,
( sdtasdt0(sdtasdt0(xm,esk5_0),xr) != sdtasdt0(xn,xm)
| $false
| $false ),
inference(rw,[status(thm)],[17549,122,theory(equality)]) ).
cnf(17551,negated_conjecture,
sdtasdt0(sdtasdt0(xm,esk5_0),xr) != sdtasdt0(xn,xm),
inference(cn,[status(thm)],[17550,theory(equality)]) ).
cnf(17617,negated_conjecture,
( sdtasdt0(xm,sdtasdt0(esk5_0,xr)) != sdtasdt0(xn,xm)
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(esk5_0)
| ~ aNaturalNumber0(xm) ),
inference(spm,[status(thm)],[17551,386,theory(equality)]) ).
cnf(17622,negated_conjecture,
( sdtasdt0(xm,sdtasdt0(esk5_0,xr)) != sdtasdt0(xn,xm)
| $false
| ~ aNaturalNumber0(esk5_0)
| ~ aNaturalNumber0(xm) ),
inference(rw,[status(thm)],[17617,100,theory(equality)]) ).
cnf(17623,negated_conjecture,
( sdtasdt0(xm,sdtasdt0(esk5_0,xr)) != sdtasdt0(xn,xm)
| $false
| $false
| ~ aNaturalNumber0(xm) ),
inference(rw,[status(thm)],[17622,122,theory(equality)]) ).
cnf(17624,negated_conjecture,
( sdtasdt0(xm,sdtasdt0(esk5_0,xr)) != sdtasdt0(xn,xm)
| $false
| $false
| $false ),
inference(rw,[status(thm)],[17623,302,theory(equality)]) ).
cnf(17625,negated_conjecture,
sdtasdt0(xm,sdtasdt0(esk5_0,xr)) != sdtasdt0(xn,xm),
inference(cn,[status(thm)],[17624,theory(equality)]) ).
cnf(17632,negated_conjecture,
( sdtasdt0(xm,sdtasdt0(xr,esk5_0)) != sdtasdt0(xn,xm)
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(esk5_0) ),
inference(spm,[status(thm)],[17625,441,theory(equality)]) ).
cnf(17634,negated_conjecture,
( sdtasdt0(xm,xn) != sdtasdt0(xn,xm)
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(esk5_0) ),
inference(rw,[status(thm)],[17632,14064,theory(equality)]) ).
cnf(17635,negated_conjecture,
( sdtasdt0(xm,xn) != sdtasdt0(xn,xm)
| $false
| ~ aNaturalNumber0(esk5_0) ),
inference(rw,[status(thm)],[17634,100,theory(equality)]) ).
cnf(17636,negated_conjecture,
( sdtasdt0(xm,xn) != sdtasdt0(xn,xm)
| $false
| $false ),
inference(rw,[status(thm)],[17635,122,theory(equality)]) ).
cnf(17637,negated_conjecture,
sdtasdt0(xm,xn) != sdtasdt0(xn,xm),
inference(cn,[status(thm)],[17636,theory(equality)]) ).
cnf(17642,negated_conjecture,
( ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xm) ),
inference(spm,[status(thm)],[17637,441,theory(equality)]) ).
cnf(17644,negated_conjecture,
( $false
| ~ aNaturalNumber0(xm) ),
inference(rw,[status(thm)],[17642,303,theory(equality)]) ).
cnf(17645,negated_conjecture,
( $false
| $false ),
inference(rw,[status(thm)],[17644,302,theory(equality)]) ).
cnf(17646,negated_conjecture,
$false,
inference(cn,[status(thm)],[17645,theory(equality)]) ).
cnf(17647,negated_conjecture,
$false,
17646,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM512+3 : TPTP v7.0.0. Released v4.0.0.
% 0.00/0.04 % Command : Source/sine.py -e eprover -t %d %s
% 0.03/0.23 % Computer : n075.star.cs.uiowa.edu
% 0.03/0.23 % Model : x86_64 x86_64
% 0.03/0.23 % CPU : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
% 0.03/0.23 % Memory : 32218.625MB
% 0.03/0.23 % OS : Linux 3.10.0-693.2.2.el7.x86_64
% 0.03/0.23 % CPULimit : 300
% 0.03/0.23 % DateTime : Fri Jan 5 06:54:00 CST 2018
% 0.03/0.23 % CPUTime :
% 0.06/0.28 % SZS status Started for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.06/0.28 --creating new selector for []
% 0.42/0.71 -running prover on /export/starexec/sandbox2/tmp/tmp9henhh/sel_theBenchmark.p_1 with time limit 29
% 0.42/0.71 -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/tmp9henhh/sel_theBenchmark.p_1']
% 0.42/0.71 -prover status Theorem
% 0.42/0.71 Problem theBenchmark.p solved in phase 0.
% 0.42/0.71 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.42/0.71 % SZS status Ended for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.42/0.71 Solved 1 out of 1.
% 0.42/0.71 # Problem is unsatisfiable (or provable), constructing proof object
% 0.42/0.71 # SZS status Theorem
% 0.42/0.71 # SZS output start CNFRefutation.
% See solution above
% 0.42/0.71 # SZS output end CNFRefutation
%------------------------------------------------------------------------------