%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : NUM525+3 : TPTP v7.0.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : n048.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 1.89s
% Output : CNFRefutation 1.89s
% Verified :
% SZS Type : Refutation
% Derivation depth : 30
% Number of leaves : 11
% Syntax : Number of formulae : 89 ( 25 unt; 0 def)
% Number of atoms : 379 ( 72 equ)
% Maximal formula atoms : 19 ( 4 avg)
% Number of connectives : 476 ( 186 ~; 221 |; 55 &)
% ( 2 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 7 con; 0-2 aty)
% Number of variables : 114 ( 0 sgn 74 !; 7 ?)
% Comments :
%------------------------------------------------------------------------------
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/tmpjWusVU/sel_theBenchmark.p_1',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/tmpjWusVU/sel_theBenchmark.p_1',mDefDiv) ).
fof(14,axiom,
equal(sdtasdt0(xp,sdtasdt0(xm,xm)),sdtasdt0(xn,xn)),
file('/export/starexec/sandbox/tmp/tmpjWusVU/sel_theBenchmark.p_1',m__3014) ).
fof(18,axiom,
( aNaturalNumber0(xq)
& equal(xn,sdtasdt0(xp,xq))
& equal(xq,sdtsldt0(xn,xp)) ),
file('/export/starexec/sandbox/tmp/tmpjWusVU/sel_theBenchmark.p_1',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/sandbox/tmp/tmpjWusVU/sel_theBenchmark.p_1',mDefQuot) ).
fof(28,conjecture,
equal(sdtasdt0(xp,sdtasdt0(xm,xm)),sdtasdt0(xp,sdtasdt0(xp,sdtasdt0(xq,xq)))),
file('/export/starexec/sandbox/tmp/tmpjWusVU/sel_theBenchmark.p_1',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/tmpjWusVU/sel_theBenchmark.p_1',mMulAsso) ).
fof(33,axiom,
! [X1,X2] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> aNaturalNumber0(sdtasdt0(X1,X2)) ),
file('/export/starexec/sandbox/tmp/tmpjWusVU/sel_theBenchmark.p_1',mSortsB_02) ).
fof(41,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/tmpjWusVU/sel_theBenchmark.p_1',mDivAsso) ).
fof(42,axiom,
( aNaturalNumber0(xn)
& aNaturalNumber0(xm)
& aNaturalNumber0(xp)
& ~ equal(xn,sz00)
& ~ equal(xm,sz00)
& ~ equal(xp,sz00) ),
file('/export/starexec/sandbox/tmp/tmpjWusVU/sel_theBenchmark.p_1',m__2987) ).
fof(44,axiom,
( ? [X1] :
( aNaturalNumber0(X1)
& equal(sdtasdt0(xn,xn),sdtasdt0(xp,X1)) )
& doDivides0(xp,sdtasdt0(xn,xn))
& ? [X1] :
( aNaturalNumber0(X1)
& equal(xn,sdtasdt0(xp,X1)) )
& doDivides0(xp,xn) ),
file('/export/starexec/sandbox/tmp/tmpjWusVU/sel_theBenchmark.p_1',m__3046) ).
fof(47,negated_conjecture,
~ equal(sdtasdt0(xp,sdtasdt0(xm,xm)),sdtasdt0(xp,sdtasdt0(xp,sdtasdt0(xq,xq)))),
inference(assume_negation,[status(cth)],[28]) ).
fof(48,negated_conjecture,
~ equal(sdtasdt0(xp,sdtasdt0(xm,xm)),sdtasdt0(xp,sdtasdt0(xp,sdtasdt0(xq,xq)))),
inference(fof_simplification,[status(thm)],[47,theory(equality)]) ).
fof(63,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(64,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)],[63]) ).
fof(65,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)],[64]) ).
fof(66,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)],[65]) ).
cnf(68,plain,
( X1 = sz00
| X3 = X2
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| sdtasdt0(X1,X3) != sdtasdt0(X1,X2) ),
inference(split_conjunct,[status(thm)],[66]) ).
fof(88,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(89,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)],[88]) ).
fof(90,plain,
! [X4,X5] :
( ~ aNaturalNumber0(X4)
| ~ aNaturalNumber0(X5)
| ( ( ~ doDivides0(X4,X5)
| ( aNaturalNumber0(esk3_2(X4,X5))
& equal(X5,sdtasdt0(X4,esk3_2(X4,X5))) ) )
& ( ! [X7] :
( ~ aNaturalNumber0(X7)
| ~ equal(X5,sdtasdt0(X4,X7)) )
| doDivides0(X4,X5) ) ) ),
inference(skolemize,[status(esa)],[89]) ).
fof(91,plain,
! [X4,X5,X7] :
( ( ( ~ aNaturalNumber0(X7)
| ~ equal(X5,sdtasdt0(X4,X7))
| doDivides0(X4,X5) )
& ( ~ doDivides0(X4,X5)
| ( aNaturalNumber0(esk3_2(X4,X5))
& equal(X5,sdtasdt0(X4,esk3_2(X4,X5))) ) ) )
| ~ aNaturalNumber0(X4)
| ~ aNaturalNumber0(X5) ),
inference(shift_quantors,[status(thm)],[90]) ).
fof(92,plain,
! [X4,X5,X7] :
( ( ~ aNaturalNumber0(X7)
| ~ equal(X5,sdtasdt0(X4,X7))
| doDivides0(X4,X5)
| ~ aNaturalNumber0(X4)
| ~ aNaturalNumber0(X5) )
& ( aNaturalNumber0(esk3_2(X4,X5))
| ~ doDivides0(X4,X5)
| ~ aNaturalNumber0(X4)
| ~ aNaturalNumber0(X5) )
& ( equal(X5,sdtasdt0(X4,esk3_2(X4,X5)))
| ~ doDivides0(X4,X5)
| ~ aNaturalNumber0(X4)
| ~ aNaturalNumber0(X5) ) ),
inference(distribute,[status(thm)],[91]) ).
cnf(95,plain,
( doDivides0(X2,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| X1 != sdtasdt0(X2,X3)
| ~ aNaturalNumber0(X3) ),
inference(split_conjunct,[status(thm)],[92]) ).
cnf(110,plain,
sdtasdt0(xp,sdtasdt0(xm,xm)) = sdtasdt0(xn,xn),
inference(split_conjunct,[status(thm)],[14]) ).
cnf(125,plain,
xq = sdtsldt0(xn,xp),
inference(split_conjunct,[status(thm)],[18]) ).
cnf(126,plain,
xn = sdtasdt0(xp,xq),
inference(split_conjunct,[status(thm)],[18]) ).
cnf(127,plain,
aNaturalNumber0(xq),
inference(split_conjunct,[status(thm)],[18]) ).
fof(152,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(153,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)],[152]) ).
fof(154,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)],[153]) ).
fof(155,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)],[154]) ).
cnf(156,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)],[155]) ).
cnf(169,negated_conjecture,
sdtasdt0(xp,sdtasdt0(xm,xm)) != sdtasdt0(xp,sdtasdt0(xp,sdtasdt0(xq,xq))),
inference(split_conjunct,[status(thm)],[48]) ).
fof(170,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(171,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)],[170]) ).
cnf(172,plain,
( sdtasdt0(sdtasdt0(X1,X2),X3) = sdtasdt0(X1,sdtasdt0(X2,X3))
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[171]) ).
fof(188,plain,
! [X1,X2] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| aNaturalNumber0(sdtasdt0(X1,X2)) ),
inference(fof_nnf,[status(thm)],[33]) ).
fof(189,plain,
! [X3,X4] :
( ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X4)
| aNaturalNumber0(sdtasdt0(X3,X4)) ),
inference(variable_rename,[status(thm)],[188]) ).
cnf(190,plain,
( aNaturalNumber0(sdtasdt0(X1,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[189]) ).
fof(225,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)],[41]) ).
fof(226,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)],[225]) ).
fof(227,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)],[226]) ).
cnf(228,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)],[227]) ).
cnf(229,plain,
xp != sz00,
inference(split_conjunct,[status(thm)],[42]) ).
cnf(232,plain,
aNaturalNumber0(xp),
inference(split_conjunct,[status(thm)],[42]) ).
cnf(233,plain,
aNaturalNumber0(xm),
inference(split_conjunct,[status(thm)],[42]) ).
cnf(234,plain,
aNaturalNumber0(xn),
inference(split_conjunct,[status(thm)],[42]) ).
fof(240,plain,
( ? [X2] :
( aNaturalNumber0(X2)
& equal(sdtasdt0(xn,xn),sdtasdt0(xp,X2)) )
& doDivides0(xp,sdtasdt0(xn,xn))
& ? [X3] :
( aNaturalNumber0(X3)
& equal(xn,sdtasdt0(xp,X3)) )
& doDivides0(xp,xn) ),
inference(variable_rename,[status(thm)],[44]) ).
fof(241,plain,
( aNaturalNumber0(esk7_0)
& equal(sdtasdt0(xn,xn),sdtasdt0(xp,esk7_0))
& doDivides0(xp,sdtasdt0(xn,xn))
& aNaturalNumber0(esk8_0)
& equal(xn,sdtasdt0(xp,esk8_0))
& doDivides0(xp,xn) ),
inference(skolemize,[status(esa)],[240]) ).
cnf(242,plain,
doDivides0(xp,xn),
inference(split_conjunct,[status(thm)],[241]) ).
cnf(246,plain,
sdtasdt0(xn,xn) = sdtasdt0(xp,esk7_0),
inference(split_conjunct,[status(thm)],[241]) ).
cnf(247,plain,
aNaturalNumber0(esk7_0),
inference(split_conjunct,[status(thm)],[241]) ).
cnf(502,negated_conjecture,
sdtasdt0(xp,sdtasdt0(xp,sdtasdt0(xq,xq))) != sdtasdt0(xn,xn),
inference(rw,[status(thm)],[169,110,theory(equality)]) ).
cnf(674,plain,
( sz00 = xp
| esk7_0 = X1
| sdtasdt0(xn,xn) != sdtasdt0(xp,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(esk7_0)
| ~ aNaturalNumber0(xp) ),
inference(spm,[status(thm)],[68,246,theory(equality)]) ).
cnf(706,plain,
( sz00 = xp
| esk7_0 = X1
| sdtasdt0(xn,xn) != sdtasdt0(xp,X1)
| ~ aNaturalNumber0(X1)
| $false
| ~ aNaturalNumber0(xp) ),
inference(rw,[status(thm)],[674,247,theory(equality)]) ).
cnf(707,plain,
( sz00 = xp
| esk7_0 = X1
| sdtasdt0(xn,xn) != sdtasdt0(xp,X1)
| ~ aNaturalNumber0(X1)
| $false
| $false ),
inference(rw,[status(thm)],[706,232,theory(equality)]) ).
cnf(708,plain,
( sz00 = xp
| esk7_0 = X1
| sdtasdt0(xn,xn) != sdtasdt0(xp,X1)
| ~ aNaturalNumber0(X1) ),
inference(cn,[status(thm)],[707,theory(equality)]) ).
cnf(709,plain,
( esk7_0 = X1
| sdtasdt0(xp,X1) != sdtasdt0(xn,xn)
| ~ aNaturalNumber0(X1) ),
inference(sr,[status(thm)],[708,229,theory(equality)]) ).
cnf(741,plain,
( sdtasdt0(xn,X1) = sdtasdt0(xp,sdtasdt0(xq,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xp) ),
inference(spm,[status(thm)],[172,126,theory(equality)]) ).
cnf(768,plain,
( sdtasdt0(xn,X1) = sdtasdt0(xp,sdtasdt0(xq,X1))
| ~ aNaturalNumber0(X1)
| $false
| ~ aNaturalNumber0(xp) ),
inference(rw,[status(thm)],[741,127,theory(equality)]) ).
cnf(769,plain,
( sdtasdt0(xn,X1) = sdtasdt0(xp,sdtasdt0(xq,X1))
| ~ aNaturalNumber0(X1)
| $false
| $false ),
inference(rw,[status(thm)],[768,232,theory(equality)]) ).
cnf(770,plain,
( sdtasdt0(xn,X1) = sdtasdt0(xp,sdtasdt0(xq,X1))
| ~ aNaturalNumber0(X1) ),
inference(cn,[status(thm)],[769,theory(equality)]) ).
cnf(1002,plain,
( sdtsldt0(X1,X2) = X3
| sz00 = X2
| sdtasdt0(X2,X3) != X1
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(csr,[status(thm)],[156,95]) ).
cnf(1003,plain,
( sdtsldt0(sdtasdt0(X1,X2),X1) = X2
| sz00 = X1
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(sdtasdt0(X1,X2)) ),
inference(er,[status(thm)],[1002,theory(equality)]) ).
cnf(2691,plain,
( esk7_0 = sdtasdt0(xm,xm)
| ~ aNaturalNumber0(sdtasdt0(xm,xm)) ),
inference(spm,[status(thm)],[709,110,theory(equality)]) ).
cnf(2754,plain,
( sdtasdt0(xm,xm) = esk7_0
| ~ aNaturalNumber0(xm) ),
inference(spm,[status(thm)],[2691,190,theory(equality)]) ).
cnf(2758,plain,
( sdtasdt0(xm,xm) = esk7_0
| $false ),
inference(rw,[status(thm)],[2754,233,theory(equality)]) ).
cnf(2759,plain,
sdtasdt0(xm,xm) = esk7_0,
inference(cn,[status(thm)],[2758,theory(equality)]) ).
cnf(2792,plain,
sdtasdt0(xp,esk7_0) = sdtasdt0(xn,xn),
inference(rw,[status(thm)],[110,2759,theory(equality)]) ).
cnf(3695,plain,
( sdtasdt0(xp,sdtasdt0(xn,xq)) != sdtasdt0(xn,xn)
| ~ aNaturalNumber0(xq) ),
inference(spm,[status(thm)],[502,770,theory(equality)]) ).
cnf(3733,plain,
( sdtasdt0(xp,sdtasdt0(xn,xq)) != sdtasdt0(xn,xn)
| $false ),
inference(rw,[status(thm)],[3695,127,theory(equality)]) ).
cnf(3734,plain,
sdtasdt0(xp,sdtasdt0(xn,xq)) != sdtasdt0(xn,xn),
inference(cn,[status(thm)],[3733,theory(equality)]) ).
cnf(68221,plain,
( sdtsldt0(sdtasdt0(X1,X2),X1) = X2
| sz00 = X1
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(csr,[status(thm)],[1003,190]) ).
cnf(68224,plain,
( sdtsldt0(sdtasdt0(xn,xn),xp) = esk7_0
| sz00 = xp
| ~ aNaturalNumber0(esk7_0)
| ~ aNaturalNumber0(xp) ),
inference(spm,[status(thm)],[68221,2792,theory(equality)]) ).
cnf(68351,plain,
( sdtsldt0(sdtasdt0(xn,xn),xp) = esk7_0
| sz00 = xp
| $false
| ~ aNaturalNumber0(xp) ),
inference(rw,[status(thm)],[68224,247,theory(equality)]) ).
cnf(68352,plain,
( sdtsldt0(sdtasdt0(xn,xn),xp) = esk7_0
| sz00 = xp
| $false
| $false ),
inference(rw,[status(thm)],[68351,232,theory(equality)]) ).
cnf(68353,plain,
( sdtsldt0(sdtasdt0(xn,xn),xp) = esk7_0
| sz00 = xp ),
inference(cn,[status(thm)],[68352,theory(equality)]) ).
cnf(68354,plain,
sdtsldt0(sdtasdt0(xn,xn),xp) = esk7_0,
inference(sr,[status(thm)],[68353,229,theory(equality)]) ).
cnf(107300,plain,
( esk7_0 = sdtasdt0(xn,sdtsldt0(xn,xp))
| sz00 = xp
| ~ doDivides0(xp,xn)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xp) ),
inference(spm,[status(thm)],[228,68354,theory(equality)]) ).
cnf(107327,plain,
( esk7_0 = sdtasdt0(xn,xq)
| sz00 = xp
| ~ doDivides0(xp,xn)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xp) ),
inference(rw,[status(thm)],[107300,125,theory(equality)]) ).
cnf(107328,plain,
( esk7_0 = sdtasdt0(xn,xq)
| sz00 = xp
| $false
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xp) ),
inference(rw,[status(thm)],[107327,242,theory(equality)]) ).
cnf(107329,plain,
( esk7_0 = sdtasdt0(xn,xq)
| sz00 = xp
| $false
| $false
| ~ aNaturalNumber0(xp) ),
inference(rw,[status(thm)],[107328,234,theory(equality)]) ).
cnf(107330,plain,
( esk7_0 = sdtasdt0(xn,xq)
| sz00 = xp
| $false
| $false
| $false ),
inference(rw,[status(thm)],[107329,232,theory(equality)]) ).
cnf(107331,plain,
( esk7_0 = sdtasdt0(xn,xq)
| sz00 = xp ),
inference(cn,[status(thm)],[107330,theory(equality)]) ).
cnf(107332,plain,
sdtasdt0(xn,xq) = esk7_0,
inference(sr,[status(thm)],[107331,229,theory(equality)]) ).
cnf(108123,plain,
$false,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[3734,107332,theory(equality)]),2792,theory(equality)]) ).
cnf(108124,plain,
$false,
inference(cn,[status(thm)],[108123,theory(equality)]) ).
cnf(108125,plain,
$false,
108124,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM525+3 : TPTP v7.0.0. Released v4.0.0.
% 0.00/0.04 % Command : Source/sine.py -e eprover -t %d %s
% 0.02/0.23 % Computer : n048.star.cs.uiowa.edu
% 0.02/0.23 % Model : x86_64 x86_64
% 0.02/0.23 % CPU : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
% 0.02/0.23 % Memory : 32218.625MB
% 0.02/0.23 % OS : Linux 3.10.0-693.2.2.el7.x86_64
% 0.02/0.23 % CPULimit : 300
% 0.02/0.23 % DateTime : Mon Jan 8 08:10:42 CST 2018
% 0.02/0.23 % CPUTime :
% 0.02/0.27 % SZS status Started for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.02/0.27 --creating new selector for []
% 1.89/2.10 -running prover on /export/starexec/sandbox/tmp/tmpjWusVU/sel_theBenchmark.p_1 with time limit 29
% 1.89/2.10 -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/tmpjWusVU/sel_theBenchmark.p_1']
% 1.89/2.10 -prover status Theorem
% 1.89/2.10 Problem theBenchmark.p solved in phase 0.
% 1.89/2.10 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.89/2.10 % SZS status Ended for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.89/2.10 Solved 1 out of 1.
% 1.89/2.10 # Problem is unsatisfiable (or provable), constructing proof object
% 1.89/2.10 # SZS status Theorem
% 1.89/2.10 # SZS output start CNFRefutation.
% See solution above
% 1.89/2.10 # SZS output end CNFRefutation
%------------------------------------------------------------------------------