TSTP Solution File: NUM528+1 by SInE---0.4
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : NUM528+1 : TPTP v7.0.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : n106.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 0.06s
% Output : CNFRefutation 0.06s
% Verified :
% SZS Type : Refutation
% Derivation depth : 29
% Number of leaves : 22
% Syntax : Number of formulae : 175 ( 29 unt; 0 def)
% Number of atoms : 709 ( 118 equ)
% Maximal formula atoms : 32 ( 4 avg)
% Number of connectives : 879 ( 345 ~; 421 |; 89 &)
% ( 3 <=>; 21 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 6 con; 0-2 aty)
% Number of variables : 155 ( 0 sgn 105 !; 5 ?)
% Comments :
%------------------------------------------------------------------------------
fof(4,axiom,
! [X1,X2] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> ( equal(sdtasdt0(X1,X2),sz00)
=> ( equal(X1,sz00)
| equal(X2,sz00) ) ) ),
file('/export/starexec/sandbox2/tmp/tmpYDuZNO/sel_theBenchmark.p_1',mZeroMul) ).
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/tmpYDuZNO/sel_theBenchmark.p_1',mMulCanc) ).
fof(6,axiom,
( sdtlseqdt0(xn,xm)
=> sdtlseqdt0(sdtasdt0(xn,xn),sdtasdt0(xm,xm)) ),
file('/export/starexec/sandbox2/tmp/tmpYDuZNO/sel_theBenchmark.p_1',m__3152) ).
fof(12,axiom,
! [X1,X2] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> ( sdtlseqdt0(X1,X2)
| ( ~ equal(X2,X1)
& sdtlseqdt0(X2,X1) ) ) ),
file('/export/starexec/sandbox2/tmp/tmpYDuZNO/sel_theBenchmark.p_1',mLETotal) ).
fof(15,axiom,
equal(sdtasdt0(xp,sdtasdt0(xm,xm)),sdtasdt0(xn,xn)),
file('/export/starexec/sandbox2/tmp/tmpYDuZNO/sel_theBenchmark.p_1',m__3014) ).
fof(19,axiom,
equal(xq,sdtsldt0(xn,xp)),
file('/export/starexec/sandbox2/tmp/tmpYDuZNO/sel_theBenchmark.p_1',m__3059) ).
fof(22,axiom,
! [X1,X2] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> ( sdtlseqdt0(X1,X2)
<=> ? [X3] :
( aNaturalNumber0(X3)
& equal(sdtpldt0(X1,X3),X2) ) ) ),
file('/export/starexec/sandbox2/tmp/tmpYDuZNO/sel_theBenchmark.p_1',mDefLE) ).
fof(24,axiom,
! [X1,X2] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> ( ( sdtlseqdt0(X1,X2)
& sdtlseqdt0(X2,X1) )
=> equal(X1,X2) ) ),
file('/export/starexec/sandbox2/tmp/tmpYDuZNO/sel_theBenchmark.p_1',mLEAsym) ).
fof(25,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/tmpYDuZNO/sel_theBenchmark.p_1',mDefQuot) ).
fof(27,axiom,
! [X1,X2] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> ( ~ equal(X1,sz00)
=> sdtlseqdt0(X2,sdtasdt0(X2,X1)) ) ),
file('/export/starexec/sandbox2/tmp/tmpYDuZNO/sel_theBenchmark.p_1',mMonMul2) ).
fof(28,axiom,
( aNaturalNumber0(sz10)
& ~ equal(sz10,sz00) ),
file('/export/starexec/sandbox2/tmp/tmpYDuZNO/sel_theBenchmark.p_1',mSortsC_01) ).
fof(29,conjecture,
( ~ equal(xm,xn)
& sdtlseqdt0(xm,xn) ),
file('/export/starexec/sandbox2/tmp/tmpYDuZNO/sel_theBenchmark.p_1',m__) ).
fof(34,axiom,
! [X1,X2] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> aNaturalNumber0(sdtasdt0(X1,X2)) ),
file('/export/starexec/sandbox2/tmp/tmpYDuZNO/sel_theBenchmark.p_1',mSortsB_02) ).
fof(35,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/sandbox2/tmp/tmpYDuZNO/sel_theBenchmark.p_1',mDefPrime) ).
fof(36,axiom,
equal(sdtasdt0(xm,xm),sdtasdt0(xp,sdtasdt0(xq,xq))),
file('/export/starexec/sandbox2/tmp/tmpYDuZNO/sel_theBenchmark.p_1',m__3082) ).
fof(37,axiom,
aNaturalNumber0(sz00),
file('/export/starexec/sandbox2/tmp/tmpYDuZNO/sel_theBenchmark.p_1',mSortsC) ).
fof(42,axiom,
! [X1,X2] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> equal(sdtasdt0(X1,X2),sdtasdt0(X2,X1)) ),
file('/export/starexec/sandbox2/tmp/tmpYDuZNO/sel_theBenchmark.p_1',mMulComm) ).
fof(44,axiom,
( aNaturalNumber0(xn)
& aNaturalNumber0(xm)
& aNaturalNumber0(xp)
& ~ equal(xn,sz00)
& ~ equal(xm,sz00)
& ~ equal(xp,sz00) ),
file('/export/starexec/sandbox2/tmp/tmpYDuZNO/sel_theBenchmark.p_1',m__2987) ).
fof(45,axiom,
! [X1] :
( aNaturalNumber0(X1)
=> ( equal(sdtpldt0(X1,sz00),X1)
& equal(X1,sdtpldt0(sz00,X1)) ) ),
file('/export/starexec/sandbox2/tmp/tmpYDuZNO/sel_theBenchmark.p_1',m_AddZero) ).
fof(46,axiom,
( doDivides0(xp,sdtasdt0(xn,xn))
& doDivides0(xp,xn) ),
file('/export/starexec/sandbox2/tmp/tmpYDuZNO/sel_theBenchmark.p_1',m__3046) ).
fof(47,axiom,
! [X1] :
( aNaturalNumber0(X1)
=> ( equal(sdtasdt0(X1,sz10),X1)
& equal(X1,sdtasdt0(sz10,X1)) ) ),
file('/export/starexec/sandbox2/tmp/tmpYDuZNO/sel_theBenchmark.p_1',m_MulUnit) ).
fof(48,axiom,
isPrime0(xp),
file('/export/starexec/sandbox2/tmp/tmpYDuZNO/sel_theBenchmark.p_1',m__3025) ).
fof(49,negated_conjecture,
~ ( ~ equal(xm,xn)
& sdtlseqdt0(xm,xn) ),
inference(assume_negation,[status(cth)],[29]) ).
fof(62,plain,
! [X1,X2] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ equal(sdtasdt0(X1,X2),sz00)
| equal(X1,sz00)
| equal(X2,sz00) ),
inference(fof_nnf,[status(thm)],[4]) ).
fof(63,plain,
! [X3,X4] :
( ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X4)
| ~ equal(sdtasdt0(X3,X4),sz00)
| equal(X3,sz00)
| equal(X4,sz00) ),
inference(variable_rename,[status(thm)],[62]) ).
cnf(64,plain,
( X1 = sz00
| X2 = sz00
| sdtasdt0(X2,X1) != sz00
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(split_conjunct,[status(thm)],[63]) ).
fof(65,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(66,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)],[65]) ).
fof(67,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)],[66]) ).
fof(68,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)],[67]) ).
cnf(69,plain,
( X1 = sz00
| X3 = X2
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| sdtasdt0(X3,X1) != sdtasdt0(X2,X1) ),
inference(split_conjunct,[status(thm)],[68]) ).
fof(71,plain,
( ~ sdtlseqdt0(xn,xm)
| sdtlseqdt0(sdtasdt0(xn,xn),sdtasdt0(xm,xm)) ),
inference(fof_nnf,[status(thm)],[6]) ).
cnf(72,plain,
( sdtlseqdt0(sdtasdt0(xn,xn),sdtasdt0(xm,xm))
| ~ sdtlseqdt0(xn,xm) ),
inference(split_conjunct,[status(thm)],[71]) ).
fof(95,plain,
! [X1,X2] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| sdtlseqdt0(X1,X2)
| ( ~ equal(X2,X1)
& sdtlseqdt0(X2,X1) ) ),
inference(fof_nnf,[status(thm)],[12]) ).
fof(96,plain,
! [X3,X4] :
( ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X4)
| sdtlseqdt0(X3,X4)
| ( ~ equal(X4,X3)
& sdtlseqdt0(X4,X3) ) ),
inference(variable_rename,[status(thm)],[95]) ).
fof(97,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)],[96]) ).
cnf(98,plain,
( sdtlseqdt0(X2,X1)
| sdtlseqdt0(X1,X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(split_conjunct,[status(thm)],[97]) ).
cnf(106,plain,
sdtasdt0(xp,sdtasdt0(xm,xm)) = sdtasdt0(xn,xn),
inference(split_conjunct,[status(thm)],[15]) ).
cnf(121,plain,
xq = sdtsldt0(xn,xp),
inference(split_conjunct,[status(thm)],[19]) ).
fof(132,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)],[22]) ).
fof(133,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)],[132]) ).
fof(134,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)],[133]) ).
fof(135,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)],[134]) ).
fof(136,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)],[135]) ).
cnf(139,plain,
( sdtlseqdt0(X2,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| sdtpldt0(X2,X3) != X1
| ~ aNaturalNumber0(X3) ),
inference(split_conjunct,[status(thm)],[136]) ).
fof(143,plain,
! [X1,X2] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X2,X1)
| equal(X1,X2) ),
inference(fof_nnf,[status(thm)],[24]) ).
fof(144,plain,
! [X3,X4] :
( ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X4)
| ~ sdtlseqdt0(X3,X4)
| ~ sdtlseqdt0(X4,X3)
| equal(X3,X4) ),
inference(variable_rename,[status(thm)],[143]) ).
cnf(145,plain,
( X1 = X2
| ~ sdtlseqdt0(X2,X1)
| ~ sdtlseqdt0(X1,X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[144]) ).
fof(146,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)],[25]) ).
fof(147,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)],[146]) ).
fof(148,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)],[147]) ).
fof(149,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)],[148]) ).
cnf(152,plain,
( X2 = sz00
| aNaturalNumber0(X3)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ doDivides0(X2,X1)
| X3 != sdtsldt0(X1,X2) ),
inference(split_conjunct,[status(thm)],[149]) ).
fof(158,plain,
! [X1,X2] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| equal(X1,sz00)
| sdtlseqdt0(X2,sdtasdt0(X2,X1)) ),
inference(fof_nnf,[status(thm)],[27]) ).
fof(159,plain,
! [X3,X4] :
( ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X4)
| equal(X3,sz00)
| sdtlseqdt0(X4,sdtasdt0(X4,X3)) ),
inference(variable_rename,[status(thm)],[158]) ).
cnf(160,plain,
( sdtlseqdt0(X1,sdtasdt0(X1,X2))
| X2 = sz00
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(split_conjunct,[status(thm)],[159]) ).
cnf(162,plain,
aNaturalNumber0(sz10),
inference(split_conjunct,[status(thm)],[28]) ).
fof(163,negated_conjecture,
( equal(xm,xn)
| ~ sdtlseqdt0(xm,xn) ),
inference(fof_nnf,[status(thm)],[49]) ).
cnf(164,negated_conjecture,
( xm = xn
| ~ sdtlseqdt0(xm,xn) ),
inference(split_conjunct,[status(thm)],[163]) ).
fof(183,plain,
! [X1,X2] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| aNaturalNumber0(sdtasdt0(X1,X2)) ),
inference(fof_nnf,[status(thm)],[34]) ).
fof(184,plain,
! [X3,X4] :
( ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X4)
| aNaturalNumber0(sdtasdt0(X3,X4)) ),
inference(variable_rename,[status(thm)],[183]) ).
cnf(185,plain,
( aNaturalNumber0(sdtasdt0(X1,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[184]) ).
fof(186,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)],[35]) ).
fof(187,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)],[186]) ).
fof(188,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)],[187]) ).
fof(189,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)],[188]) ).
fof(190,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)],[189]) ).
cnf(195,plain,
( ~ aNaturalNumber0(X1)
| ~ isPrime0(X1)
| X1 != sz10 ),
inference(split_conjunct,[status(thm)],[190]) ).
cnf(198,plain,
sdtasdt0(xm,xm) = sdtasdt0(xp,sdtasdt0(xq,xq)),
inference(split_conjunct,[status(thm)],[36]) ).
cnf(199,plain,
aNaturalNumber0(sz00),
inference(split_conjunct,[status(thm)],[37]) ).
fof(218,plain,
! [X1,X2] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| equal(sdtasdt0(X1,X2),sdtasdt0(X2,X1)) ),
inference(fof_nnf,[status(thm)],[42]) ).
fof(219,plain,
! [X3,X4] :
( ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X4)
| equal(sdtasdt0(X3,X4),sdtasdt0(X4,X3)) ),
inference(variable_rename,[status(thm)],[218]) ).
cnf(220,plain,
( sdtasdt0(X1,X2) = sdtasdt0(X2,X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[219]) ).
cnf(225,plain,
xp != sz00,
inference(split_conjunct,[status(thm)],[44]) ).
cnf(226,plain,
xm != sz00,
inference(split_conjunct,[status(thm)],[44]) ).
cnf(228,plain,
aNaturalNumber0(xp),
inference(split_conjunct,[status(thm)],[44]) ).
cnf(229,plain,
aNaturalNumber0(xm),
inference(split_conjunct,[status(thm)],[44]) ).
cnf(230,plain,
aNaturalNumber0(xn),
inference(split_conjunct,[status(thm)],[44]) ).
fof(231,plain,
! [X1] :
( ~ aNaturalNumber0(X1)
| ( equal(sdtpldt0(X1,sz00),X1)
& equal(X1,sdtpldt0(sz00,X1)) ) ),
inference(fof_nnf,[status(thm)],[45]) ).
fof(232,plain,
! [X2] :
( ~ aNaturalNumber0(X2)
| ( equal(sdtpldt0(X2,sz00),X2)
& equal(X2,sdtpldt0(sz00,X2)) ) ),
inference(variable_rename,[status(thm)],[231]) ).
fof(233,plain,
! [X2] :
( ( equal(sdtpldt0(X2,sz00),X2)
| ~ aNaturalNumber0(X2) )
& ( equal(X2,sdtpldt0(sz00,X2))
| ~ aNaturalNumber0(X2) ) ),
inference(distribute,[status(thm)],[232]) ).
cnf(234,plain,
( X1 = sdtpldt0(sz00,X1)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[233]) ).
cnf(236,plain,
doDivides0(xp,xn),
inference(split_conjunct,[status(thm)],[46]) ).
fof(238,plain,
! [X1] :
( ~ aNaturalNumber0(X1)
| ( equal(sdtasdt0(X1,sz10),X1)
& equal(X1,sdtasdt0(sz10,X1)) ) ),
inference(fof_nnf,[status(thm)],[47]) ).
fof(239,plain,
! [X2] :
( ~ aNaturalNumber0(X2)
| ( equal(sdtasdt0(X2,sz10),X2)
& equal(X2,sdtasdt0(sz10,X2)) ) ),
inference(variable_rename,[status(thm)],[238]) ).
fof(240,plain,
! [X2] :
( ( equal(sdtasdt0(X2,sz10),X2)
| ~ aNaturalNumber0(X2) )
& ( equal(X2,sdtasdt0(sz10,X2))
| ~ aNaturalNumber0(X2) ) ),
inference(distribute,[status(thm)],[239]) ).
cnf(241,plain,
( X1 = sdtasdt0(sz10,X1)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[240]) ).
cnf(243,plain,
isPrime0(xp),
inference(split_conjunct,[status(thm)],[48]) ).
cnf(247,plain,
( sz10 != xp
| ~ aNaturalNumber0(xp) ),
inference(spm,[status(thm)],[195,243,theory(equality)]) ).
cnf(248,plain,
( sz10 != xp
| $false ),
inference(rw,[status(thm)],[247,228,theory(equality)]) ).
cnf(249,plain,
sz10 != xp,
inference(cn,[status(thm)],[248,theory(equality)]) ).
cnf(250,plain,
( aNaturalNumber0(sdtasdt0(xn,xn))
| ~ aNaturalNumber0(sdtasdt0(xm,xm))
| ~ aNaturalNumber0(xp) ),
inference(spm,[status(thm)],[185,106,theory(equality)]) ).
cnf(255,plain,
( aNaturalNumber0(sdtasdt0(xn,xn))
| ~ aNaturalNumber0(sdtasdt0(xm,xm))
| $false ),
inference(rw,[status(thm)],[250,228,theory(equality)]) ).
cnf(256,plain,
( aNaturalNumber0(sdtasdt0(xn,xn))
| ~ aNaturalNumber0(sdtasdt0(xm,xm)) ),
inference(cn,[status(thm)],[255,theory(equality)]) ).
cnf(268,plain,
( sdtlseqdt0(X1,xn)
| sdtlseqdt0(xn,X1)
| ~ aNaturalNumber0(X1) ),
inference(spm,[status(thm)],[98,230,theory(equality)]) ).
cnf(269,plain,
( sdtlseqdt0(X1,xm)
| sdtlseqdt0(xm,X1)
| ~ aNaturalNumber0(X1) ),
inference(spm,[status(thm)],[98,229,theory(equality)]) ).
cnf(282,plain,
( aNaturalNumber0(sdtasdt0(xm,xm))
| ~ aNaturalNumber0(sdtasdt0(xq,xq))
| ~ aNaturalNumber0(xp) ),
inference(spm,[status(thm)],[185,198,theory(equality)]) ).
cnf(283,plain,
( aNaturalNumber0(sdtasdt0(xm,xm))
| ~ aNaturalNumber0(sdtasdt0(xq,xq))
| $false ),
inference(rw,[status(thm)],[282,228,theory(equality)]) ).
cnf(284,plain,
( aNaturalNumber0(sdtasdt0(xm,xm))
| ~ aNaturalNumber0(sdtasdt0(xq,xq)) ),
inference(cn,[status(thm)],[283,theory(equality)]) ).
cnf(287,plain,
( sdtasdt0(xm,xm) = sdtasdt0(xn,xn)
| ~ sdtlseqdt0(sdtasdt0(xm,xm),sdtasdt0(xn,xn))
| ~ aNaturalNumber0(sdtasdt0(xn,xn))
| ~ aNaturalNumber0(sdtasdt0(xm,xm))
| ~ sdtlseqdt0(xn,xm) ),
inference(spm,[status(thm)],[145,72,theory(equality)]) ).
cnf(369,plain,
( sz00 = X1
| sdtlseqdt0(X2,sdtasdt0(X1,X2))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(spm,[status(thm)],[160,220,theory(equality)]) ).
cnf(417,plain,
( sdtlseqdt0(sz00,X1)
| X2 != X1
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1) ),
inference(spm,[status(thm)],[139,234,theory(equality)]) ).
cnf(424,plain,
( sdtlseqdt0(sz00,X1)
| X2 != X1
| ~ aNaturalNumber0(X2)
| $false
| ~ aNaturalNumber0(X1) ),
inference(rw,[status(thm)],[417,199,theory(equality)]) ).
cnf(425,plain,
( sdtlseqdt0(sz00,X1)
| X2 != X1
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(cn,[status(thm)],[424,theory(equality)]) ).
cnf(426,plain,
( sdtlseqdt0(sz00,X1)
| ~ aNaturalNumber0(X1) ),
inference(er,[status(thm)],[425,theory(equality)]) ).
cnf(428,plain,
( sz00 = sdtasdt0(xm,xm)
| sz00 = xp
| sdtasdt0(xn,xn) != sz00
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtasdt0(xm,xm)) ),
inference(spm,[status(thm)],[64,106,theory(equality)]) ).
cnf(434,plain,
( sz00 = sdtasdt0(xm,xm)
| sz00 = xp
| sdtasdt0(xn,xn) != sz00
| $false
| ~ aNaturalNumber0(sdtasdt0(xm,xm)) ),
inference(rw,[status(thm)],[428,228,theory(equality)]) ).
cnf(435,plain,
( sz00 = sdtasdt0(xm,xm)
| sz00 = xp
| sdtasdt0(xn,xn) != sz00
| ~ aNaturalNumber0(sdtasdt0(xm,xm)) ),
inference(cn,[status(thm)],[434,theory(equality)]) ).
cnf(436,plain,
( sdtasdt0(xm,xm) = sz00
| sdtasdt0(xn,xn) != sz00
| ~ aNaturalNumber0(sdtasdt0(xm,xm)) ),
inference(sr,[status(thm)],[435,225,theory(equality)]) ).
cnf(529,plain,
( sz00 = X1
| aNaturalNumber0(sdtsldt0(X2,X1))
| ~ doDivides0(X1,X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(er,[status(thm)],[152,theory(equality)]) ).
cnf(537,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)],[69,106,theory(equality)]) ).
cnf(553,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)],[537,228,theory(equality)]) ).
cnf(554,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)],[553,theory(equality)]) ).
cnf(1125,plain,
( aNaturalNumber0(sdtasdt0(xn,xn))
| ~ aNaturalNumber0(xm) ),
inference(spm,[status(thm)],[256,185,theory(equality)]) ).
cnf(1128,plain,
( aNaturalNumber0(sdtasdt0(xn,xn))
| $false ),
inference(rw,[status(thm)],[1125,229,theory(equality)]) ).
cnf(1129,plain,
aNaturalNumber0(sdtasdt0(xn,xn)),
inference(cn,[status(thm)],[1128,theory(equality)]) ).
cnf(1164,plain,
( X1 = sz00
| ~ sdtlseqdt0(X1,sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1) ),
inference(spm,[status(thm)],[145,426,theory(equality)]) ).
cnf(1167,plain,
( X1 = sz00
| ~ sdtlseqdt0(X1,sz00)
| $false
| ~ aNaturalNumber0(X1) ),
inference(rw,[status(thm)],[1164,199,theory(equality)]) ).
cnf(1168,plain,
( X1 = sz00
| ~ sdtlseqdt0(X1,sz00)
| ~ aNaturalNumber0(X1) ),
inference(cn,[status(thm)],[1167,theory(equality)]) ).
cnf(1184,plain,
( sdtlseqdt0(xn,xm)
| sdtlseqdt0(xm,xn) ),
inference(spm,[status(thm)],[268,229,theory(equality)]) ).
cnf(1220,plain,
( xm = xn
| sdtlseqdt0(xn,xm) ),
inference(spm,[status(thm)],[164,1184,theory(equality)]) ).
cnf(1243,plain,
( sdtlseqdt0(xm,sz00)
| sdtlseqdt0(sz00,xm) ),
inference(spm,[status(thm)],[269,199,theory(equality)]) ).
cnf(1643,plain,
( xm = sz00
| sdtlseqdt0(sz00,xm)
| ~ aNaturalNumber0(xm) ),
inference(spm,[status(thm)],[1168,1243,theory(equality)]) ).
cnf(1648,plain,
( xm = sz00
| sdtlseqdt0(sz00,xm)
| $false ),
inference(rw,[status(thm)],[1643,229,theory(equality)]) ).
cnf(1649,plain,
( xm = sz00
| sdtlseqdt0(sz00,xm) ),
inference(cn,[status(thm)],[1648,theory(equality)]) ).
cnf(1650,plain,
sdtlseqdt0(sz00,xm),
inference(sr,[status(thm)],[1649,226,theory(equality)]) ).
cnf(1661,plain,
( xm = sz00
| ~ sdtlseqdt0(xm,sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm) ),
inference(spm,[status(thm)],[145,1650,theory(equality)]) ).
cnf(1665,plain,
( xm = sz00
| ~ sdtlseqdt0(xm,sz00)
| $false
| ~ aNaturalNumber0(xm) ),
inference(rw,[status(thm)],[1661,199,theory(equality)]) ).
cnf(1666,plain,
( xm = sz00
| ~ sdtlseqdt0(xm,sz00)
| $false
| $false ),
inference(rw,[status(thm)],[1665,229,theory(equality)]) ).
cnf(1667,plain,
( xm = sz00
| ~ sdtlseqdt0(xm,sz00) ),
inference(cn,[status(thm)],[1666,theory(equality)]) ).
cnf(1668,plain,
~ sdtlseqdt0(xm,sz00),
inference(sr,[status(thm)],[1667,226,theory(equality)]) ).
cnf(1686,plain,
( aNaturalNumber0(sdtasdt0(xm,xm))
| ~ aNaturalNumber0(xq) ),
inference(spm,[status(thm)],[284,185,theory(equality)]) ).
cnf(1780,plain,
( sdtasdt0(xm,xm) = sdtasdt0(xn,xn)
| ~ sdtlseqdt0(sdtasdt0(xm,xm),sdtasdt0(xn,xn))
| $false
| ~ aNaturalNumber0(sdtasdt0(xm,xm))
| ~ sdtlseqdt0(xn,xm) ),
inference(rw,[status(thm)],[287,1129,theory(equality)]) ).
cnf(1781,plain,
( sdtasdt0(xm,xm) = sdtasdt0(xn,xn)
| ~ sdtlseqdt0(sdtasdt0(xm,xm),sdtasdt0(xn,xn))
| ~ aNaturalNumber0(sdtasdt0(xm,xm))
| ~ sdtlseqdt0(xn,xm) ),
inference(cn,[status(thm)],[1780,theory(equality)]) ).
cnf(2629,plain,
( sz00 = xp
| sdtlseqdt0(sdtasdt0(xm,xm),sdtasdt0(xn,xn))
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtasdt0(xm,xm)) ),
inference(spm,[status(thm)],[369,106,theory(equality)]) ).
cnf(2650,plain,
( sz00 = xp
| sdtlseqdt0(sdtasdt0(xm,xm),sdtasdt0(xn,xn))
| $false
| ~ aNaturalNumber0(sdtasdt0(xm,xm)) ),
inference(rw,[status(thm)],[2629,228,theory(equality)]) ).
cnf(2651,plain,
( sz00 = xp
| sdtlseqdt0(sdtasdt0(xm,xm),sdtasdt0(xn,xn))
| ~ aNaturalNumber0(sdtasdt0(xm,xm)) ),
inference(cn,[status(thm)],[2650,theory(equality)]) ).
cnf(2652,plain,
( sdtlseqdt0(sdtasdt0(xm,xm),sdtasdt0(xn,xn))
| ~ aNaturalNumber0(sdtasdt0(xm,xm)) ),
inference(sr,[status(thm)],[2651,225,theory(equality)]) ).
cnf(3866,plain,
( sdtasdt0(xm,xm) = sz00
| sdtasdt0(xn,xn) != sz00
| ~ aNaturalNumber0(xm) ),
inference(spm,[status(thm)],[436,185,theory(equality)]) ).
cnf(3872,plain,
( sdtasdt0(xm,xm) = sz00
| sdtasdt0(xn,xn) != sz00
| $false ),
inference(rw,[status(thm)],[3866,229,theory(equality)]) ).
cnf(3873,plain,
( sdtasdt0(xm,xm) = sz00
| sdtasdt0(xn,xn) != sz00 ),
inference(cn,[status(thm)],[3872,theory(equality)]) ).
cnf(3883,plain,
( sz00 = xm
| sdtlseqdt0(xm,sz00)
| ~ aNaturalNumber0(xm)
| sdtasdt0(xn,xn) != sz00 ),
inference(spm,[status(thm)],[160,3873,theory(equality)]) ).
cnf(3919,plain,
( sz00 = xm
| sdtlseqdt0(xm,sz00)
| $false
| sdtasdt0(xn,xn) != sz00 ),
inference(rw,[status(thm)],[3883,229,theory(equality)]) ).
cnf(3920,plain,
( sz00 = xm
| sdtlseqdt0(xm,sz00)
| sdtasdt0(xn,xn) != sz00 ),
inference(cn,[status(thm)],[3919,theory(equality)]) ).
cnf(3921,plain,
( sdtlseqdt0(xm,sz00)
| sdtasdt0(xn,xn) != sz00 ),
inference(sr,[status(thm)],[3920,226,theory(equality)]) ).
cnf(3922,plain,
sdtasdt0(xn,xn) != sz00,
inference(sr,[status(thm)],[3921,1668,theory(equality)]) ).
cnf(6195,plain,
( sz00 = xp
| aNaturalNumber0(xq)
| ~ doDivides0(xp,xn)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xn) ),
inference(spm,[status(thm)],[529,121,theory(equality)]) ).
cnf(6209,plain,
( sz00 = xp
| aNaturalNumber0(xq)
| $false
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xn) ),
inference(rw,[status(thm)],[6195,236,theory(equality)]) ).
cnf(6210,plain,
( sz00 = xp
| aNaturalNumber0(xq)
| $false
| $false
| ~ aNaturalNumber0(xn) ),
inference(rw,[status(thm)],[6209,228,theory(equality)]) ).
cnf(6211,plain,
( sz00 = xp
| aNaturalNumber0(xq)
| $false
| $false
| $false ),
inference(rw,[status(thm)],[6210,230,theory(equality)]) ).
cnf(6212,plain,
( sz00 = xp
| aNaturalNumber0(xq) ),
inference(cn,[status(thm)],[6211,theory(equality)]) ).
cnf(6213,plain,
aNaturalNumber0(xq),
inference(sr,[status(thm)],[6212,225,theory(equality)]) ).
cnf(6251,plain,
( aNaturalNumber0(sdtasdt0(xm,xm))
| $false ),
inference(rw,[status(thm)],[1686,6213,theory(equality)]) ).
cnf(6252,plain,
aNaturalNumber0(sdtasdt0(xm,xm)),
inference(cn,[status(thm)],[6251,theory(equality)]) ).
cnf(6294,plain,
( sdtasdt0(xm,xm) = sdtasdt0(xn,xn)
| ~ sdtlseqdt0(sdtasdt0(xm,xm),sdtasdt0(xn,xn))
| ~ sdtlseqdt0(xn,xm)
| $false ),
inference(rw,[status(thm)],[1781,6252,theory(equality)]) ).
cnf(6295,plain,
( sdtasdt0(xm,xm) = sdtasdt0(xn,xn)
| ~ sdtlseqdt0(sdtasdt0(xm,xm),sdtasdt0(xn,xn))
| ~ sdtlseqdt0(xn,xm) ),
inference(cn,[status(thm)],[6294,theory(equality)]) ).
cnf(6896,plain,
( sdtasdt0(xm,xm) = sz00
| xp = X1
| sdtasdt0(X1,sdtasdt0(xm,xm)) != sdtasdt0(xn,xn)
| ~ aNaturalNumber0(X1)
| $false ),
inference(rw,[status(thm)],[554,6252,theory(equality)]) ).
cnf(6897,plain,
( sdtasdt0(xm,xm) = sz00
| xp = X1
| sdtasdt0(X1,sdtasdt0(xm,xm)) != sdtasdt0(xn,xn)
| ~ aNaturalNumber0(X1) ),
inference(cn,[status(thm)],[6896,theory(equality)]) ).
cnf(6898,plain,
( sdtasdt0(xm,xm) = sz00
| xp = sz10
| sdtasdt0(xm,xm) != sdtasdt0(xn,xn)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sdtasdt0(xm,xm)) ),
inference(spm,[status(thm)],[6897,241,theory(equality)]) ).
cnf(6905,plain,
( sdtasdt0(xm,xm) = sz00
| xp = sz10
| sdtasdt0(xm,xm) != sdtasdt0(xn,xn)
| $false
| ~ aNaturalNumber0(sdtasdt0(xm,xm)) ),
inference(rw,[status(thm)],[6898,162,theory(equality)]) ).
cnf(6906,plain,
( sdtasdt0(xm,xm) = sz00
| xp = sz10
| sdtasdt0(xm,xm) != sdtasdt0(xn,xn)
| $false
| $false ),
inference(rw,[status(thm)],[6905,6252,theory(equality)]) ).
cnf(6907,plain,
( sdtasdt0(xm,xm) = sz00
| xp = sz10
| sdtasdt0(xm,xm) != sdtasdt0(xn,xn) ),
inference(cn,[status(thm)],[6906,theory(equality)]) ).
cnf(6908,plain,
( sdtasdt0(xm,xm) = sz00
| sdtasdt0(xm,xm) != sdtasdt0(xn,xn) ),
inference(sr,[status(thm)],[6907,249,theory(equality)]) ).
cnf(10829,plain,
( sdtlseqdt0(sdtasdt0(xm,xm),sdtasdt0(xn,xn))
| $false ),
inference(rw,[status(thm)],[2652,6252,theory(equality)]) ).
cnf(10830,plain,
sdtlseqdt0(sdtasdt0(xm,xm),sdtasdt0(xn,xn)),
inference(cn,[status(thm)],[10829,theory(equality)]) ).
cnf(10843,plain,
( sdtasdt0(xm,xm) = sdtasdt0(xn,xn)
| $false
| ~ sdtlseqdt0(xn,xm) ),
inference(rw,[status(thm)],[6295,10830,theory(equality)]) ).
cnf(10844,plain,
( sdtasdt0(xm,xm) = sdtasdt0(xn,xn)
| ~ sdtlseqdt0(xn,xm) ),
inference(cn,[status(thm)],[10843,theory(equality)]) ).
cnf(10873,plain,
( sdtasdt0(xm,xm) = sdtasdt0(xn,xn)
| xm = xn ),
inference(spm,[status(thm)],[10844,1220,theory(equality)]) ).
cnf(10955,plain,
( sdtasdt0(xn,xn) = sz00
| xm = xn ),
inference(spm,[status(thm)],[6908,10873,theory(equality)]) ).
cnf(11061,plain,
xm = xn,
inference(sr,[status(thm)],[10955,3922,theory(equality)]) ).
cnf(11122,plain,
( sdtasdt0(xn,xn) = sz00
| sdtasdt0(xm,xm) != sdtasdt0(xn,xn) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[6908,11061,theory(equality)]),11061,theory(equality)]) ).
cnf(11123,plain,
( sdtasdt0(xn,xn) = sz00
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[11122,11061,theory(equality)]),11061,theory(equality)]) ).
cnf(11124,plain,
sdtasdt0(xn,xn) = sz00,
inference(cn,[status(thm)],[11123,theory(equality)]) ).
cnf(11125,plain,
$false,
inference(sr,[status(thm)],[11124,3922,theory(equality)]) ).
cnf(11126,plain,
$false,
11125,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM528+1 : TPTP v7.0.0. Released v4.0.0.
% 0.00/0.04 % Command : Source/sine.py -e eprover -t %d %s
% 0.03/0.23 % Computer : n106.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 07:09:15 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 []
% 0.06/0.55 -running prover on /export/starexec/sandbox2/tmp/tmpYDuZNO/sel_theBenchmark.p_1 with time limit 29
% 0.06/0.55 -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/tmpYDuZNO/sel_theBenchmark.p_1']
% 0.06/0.55 -prover status Theorem
% 0.06/0.55 Problem theBenchmark.p solved in phase 0.
% 0.06/0.55 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.06/0.55 % SZS status Ended for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.06/0.55 Solved 1 out of 1.
% 0.06/0.55 # Problem is unsatisfiable (or provable), constructing proof object
% 0.06/0.55 # SZS status Theorem
% 0.06/0.55 # SZS output start CNFRefutation.
% See solution above
% 0.06/0.55 # SZS output end CNFRefutation
%------------------------------------------------------------------------------