TSTP Solution File: NUM465+1 by SInE---0.4
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- Process Solution
%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : NUM465+1 : TPTP v7.0.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : n030.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 15:21:26 EST 2018
% Result : Theorem 0.06s
% Output : CNFRefutation 0.06s
% Verified :
% SZS Type : Refutation
% Derivation depth : 48
% Number of leaves : 19
% Syntax : Number of formulae : 177 ( 17 unt; 0 def)
% Number of atoms : 734 ( 147 equ)
% Maximal formula atoms : 28 ( 4 avg)
% Number of connectives : 965 ( 408 ~; 461 |; 70 &)
% ( 2 <=>; 24 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-2 aty)
% Number of variables : 236 ( 1 sgn 115 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(1,axiom,
! [X1] :
( aNaturalNumber0(X1)
=> ( equal(sdtasdt0(X1,sz00),sz00)
& equal(sz00,sdtasdt0(sz00,X1)) ) ),
file('/export/starexec/sandbox/tmp/tmprmKArl/sel_theBenchmark.p_1',m_MulZero) ).
fof(3,axiom,
! [X1,X2] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> ( equal(sdtasdt0(X1,X2),sz00)
=> ( equal(X1,sz00)
| equal(X2,sz00) ) ) ),
file('/export/starexec/sandbox/tmp/tmprmKArl/sel_theBenchmark.p_1',mZeroMul) ).
fof(4,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/tmprmKArl/sel_theBenchmark.p_1',mMulCanc) ).
fof(6,axiom,
! [X1,X2] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> ( sdtlseqdt0(X1,X2)
| ( ~ equal(X2,X1)
& sdtlseqdt0(X2,X1) ) ) ),
file('/export/starexec/sandbox/tmp/tmprmKArl/sel_theBenchmark.p_1',mLETotal) ).
fof(10,axiom,
! [X1,X2,X3] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2)
& aNaturalNumber0(X3) )
=> ( ( ~ equal(X1,sz00)
& ~ equal(X2,X3)
& sdtlseqdt0(X2,X3) )
=> ( ~ equal(sdtasdt0(X1,X2),sdtasdt0(X1,X3))
& sdtlseqdt0(sdtasdt0(X1,X2),sdtasdt0(X1,X3))
& ~ equal(sdtasdt0(X2,X1),sdtasdt0(X3,X1))
& sdtlseqdt0(sdtasdt0(X2,X1),sdtasdt0(X3,X1)) ) ) ),
file('/export/starexec/sandbox/tmp/tmprmKArl/sel_theBenchmark.p_1',mMonMul) ).
fof(11,axiom,
! [X1,X2] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> ( sdtlseqdt0(X1,X2)
<=> ? [X3] :
( aNaturalNumber0(X3)
& equal(sdtpldt0(X1,X3),X2) ) ) ),
file('/export/starexec/sandbox/tmp/tmprmKArl/sel_theBenchmark.p_1',mDefLE) ).
fof(13,axiom,
! [X1,X2] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> ( ( sdtlseqdt0(X1,X2)
& sdtlseqdt0(X2,X1) )
=> equal(X1,X2) ) ),
file('/export/starexec/sandbox/tmp/tmprmKArl/sel_theBenchmark.p_1',mLEAsym) ).
fof(15,axiom,
( aNaturalNumber0(sz10)
& ~ equal(sz10,sz00) ),
file('/export/starexec/sandbox/tmp/tmprmKArl/sel_theBenchmark.p_1',mSortsC_01) ).
fof(16,conjecture,
( ~ equal(xm,sz00)
=> sdtlseqdt0(xn,sdtasdt0(xn,xm)) ),
file('/export/starexec/sandbox/tmp/tmprmKArl/sel_theBenchmark.p_1',m__) ).
fof(17,axiom,
( aNaturalNumber0(xm)
& aNaturalNumber0(xn) ),
file('/export/starexec/sandbox/tmp/tmprmKArl/sel_theBenchmark.p_1',m__987) ).
fof(18,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/tmprmKArl/sel_theBenchmark.p_1',mMulAsso) ).
fof(20,axiom,
! [X1] :
( aNaturalNumber0(X1)
=> sdtlseqdt0(X1,X1) ),
file('/export/starexec/sandbox/tmp/tmprmKArl/sel_theBenchmark.p_1',mLERefl) ).
fof(21,axiom,
! [X1,X2] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> ( sdtlseqdt0(X1,X2)
=> ! [X3] :
( equal(X3,sdtmndt0(X2,X1))
<=> ( aNaturalNumber0(X3)
& equal(sdtpldt0(X1,X3),X2) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmprmKArl/sel_theBenchmark.p_1',mDefDiff) ).
fof(22,axiom,
! [X1,X2] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> aNaturalNumber0(sdtasdt0(X1,X2)) ),
file('/export/starexec/sandbox/tmp/tmprmKArl/sel_theBenchmark.p_1',mSortsB_02) ).
fof(23,axiom,
aNaturalNumber0(sz00),
file('/export/starexec/sandbox/tmp/tmprmKArl/sel_theBenchmark.p_1',mSortsC) ).
fof(26,axiom,
! [X1,X2] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> equal(sdtasdt0(X1,X2),sdtasdt0(X2,X1)) ),
file('/export/starexec/sandbox/tmp/tmprmKArl/sel_theBenchmark.p_1',mMulComm) ).
fof(27,axiom,
( ~ equal(xm,sz00)
=> sdtlseqdt0(sz10,xm) ),
file('/export/starexec/sandbox/tmp/tmprmKArl/sel_theBenchmark.p_1',m__1007) ).
fof(28,axiom,
! [X1] :
( aNaturalNumber0(X1)
=> ( equal(sdtpldt0(X1,sz00),X1)
& equal(X1,sdtpldt0(sz00,X1)) ) ),
file('/export/starexec/sandbox/tmp/tmprmKArl/sel_theBenchmark.p_1',m_AddZero) ).
fof(29,axiom,
! [X1] :
( aNaturalNumber0(X1)
=> ( equal(sdtasdt0(X1,sz10),X1)
& equal(X1,sdtasdt0(sz10,X1)) ) ),
file('/export/starexec/sandbox/tmp/tmprmKArl/sel_theBenchmark.p_1',m_MulUnit) ).
fof(30,negated_conjecture,
~ ( ~ equal(xm,sz00)
=> sdtlseqdt0(xn,sdtasdt0(xn,xm)) ),
inference(assume_negation,[status(cth)],[16]) ).
fof(31,plain,
! [X1] :
( ~ aNaturalNumber0(X1)
| ( equal(sdtasdt0(X1,sz00),sz00)
& equal(sz00,sdtasdt0(sz00,X1)) ) ),
inference(fof_nnf,[status(thm)],[1]) ).
fof(32,plain,
! [X2] :
( ~ aNaturalNumber0(X2)
| ( equal(sdtasdt0(X2,sz00),sz00)
& equal(sz00,sdtasdt0(sz00,X2)) ) ),
inference(variable_rename,[status(thm)],[31]) ).
fof(33,plain,
! [X2] :
( ( equal(sdtasdt0(X2,sz00),sz00)
| ~ aNaturalNumber0(X2) )
& ( equal(sz00,sdtasdt0(sz00,X2))
| ~ aNaturalNumber0(X2) ) ),
inference(distribute,[status(thm)],[32]) ).
cnf(34,plain,
( sz00 = sdtasdt0(sz00,X1)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[33]) ).
cnf(35,plain,
( sdtasdt0(X1,sz00) = sz00
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[33]) ).
fof(39,plain,
! [X1,X2] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ equal(sdtasdt0(X1,X2),sz00)
| equal(X1,sz00)
| equal(X2,sz00) ),
inference(fof_nnf,[status(thm)],[3]) ).
fof(40,plain,
! [X3,X4] :
( ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X4)
| ~ equal(sdtasdt0(X3,X4),sz00)
| equal(X3,sz00)
| equal(X4,sz00) ),
inference(variable_rename,[status(thm)],[39]) ).
cnf(41,plain,
( X1 = sz00
| X2 = sz00
| sdtasdt0(X2,X1) != sz00
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(split_conjunct,[status(thm)],[40]) ).
fof(42,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)],[4]) ).
fof(43,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)],[42]) ).
fof(44,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)],[43]) ).
fof(45,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)],[44]) ).
cnf(46,plain,
( X1 = sz00
| X3 = X2
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| sdtasdt0(X3,X1) != sdtasdt0(X2,X1) ),
inference(split_conjunct,[status(thm)],[45]) ).
fof(53,plain,
! [X1,X2] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| sdtlseqdt0(X1,X2)
| ( ~ equal(X2,X1)
& sdtlseqdt0(X2,X1) ) ),
inference(fof_nnf,[status(thm)],[6]) ).
fof(54,plain,
! [X3,X4] :
( ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X4)
| sdtlseqdt0(X3,X4)
| ( ~ equal(X4,X3)
& sdtlseqdt0(X4,X3) ) ),
inference(variable_rename,[status(thm)],[53]) ).
fof(55,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)],[54]) ).
cnf(56,plain,
( sdtlseqdt0(X2,X1)
| sdtlseqdt0(X1,X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(split_conjunct,[status(thm)],[55]) ).
fof(72,plain,
! [X1,X2,X3] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| equal(X1,sz00)
| equal(X2,X3)
| ~ sdtlseqdt0(X2,X3)
| ( ~ equal(sdtasdt0(X1,X2),sdtasdt0(X1,X3))
& sdtlseqdt0(sdtasdt0(X1,X2),sdtasdt0(X1,X3))
& ~ equal(sdtasdt0(X2,X1),sdtasdt0(X3,X1))
& sdtlseqdt0(sdtasdt0(X2,X1),sdtasdt0(X3,X1)) ) ),
inference(fof_nnf,[status(thm)],[10]) ).
fof(73,plain,
! [X4,X5,X6] :
( ~ aNaturalNumber0(X4)
| ~ aNaturalNumber0(X5)
| ~ aNaturalNumber0(X6)
| equal(X4,sz00)
| equal(X5,X6)
| ~ sdtlseqdt0(X5,X6)
| ( ~ equal(sdtasdt0(X4,X5),sdtasdt0(X4,X6))
& sdtlseqdt0(sdtasdt0(X4,X5),sdtasdt0(X4,X6))
& ~ equal(sdtasdt0(X5,X4),sdtasdt0(X6,X4))
& sdtlseqdt0(sdtasdt0(X5,X4),sdtasdt0(X6,X4)) ) ),
inference(variable_rename,[status(thm)],[72]) ).
fof(74,plain,
! [X4,X5,X6] :
( ( ~ equal(sdtasdt0(X4,X5),sdtasdt0(X4,X6))
| equal(X4,sz00)
| equal(X5,X6)
| ~ sdtlseqdt0(X5,X6)
| ~ aNaturalNumber0(X4)
| ~ aNaturalNumber0(X5)
| ~ aNaturalNumber0(X6) )
& ( sdtlseqdt0(sdtasdt0(X4,X5),sdtasdt0(X4,X6))
| equal(X4,sz00)
| equal(X5,X6)
| ~ sdtlseqdt0(X5,X6)
| ~ aNaturalNumber0(X4)
| ~ aNaturalNumber0(X5)
| ~ aNaturalNumber0(X6) )
& ( ~ equal(sdtasdt0(X5,X4),sdtasdt0(X6,X4))
| equal(X4,sz00)
| equal(X5,X6)
| ~ sdtlseqdt0(X5,X6)
| ~ aNaturalNumber0(X4)
| ~ aNaturalNumber0(X5)
| ~ aNaturalNumber0(X6) )
& ( sdtlseqdt0(sdtasdt0(X5,X4),sdtasdt0(X6,X4))
| equal(X4,sz00)
| equal(X5,X6)
| ~ sdtlseqdt0(X5,X6)
| ~ aNaturalNumber0(X4)
| ~ aNaturalNumber0(X5)
| ~ aNaturalNumber0(X6) ) ),
inference(distribute,[status(thm)],[73]) ).
cnf(77,plain,
( X2 = X1
| X3 = sz00
| sdtlseqdt0(sdtasdt0(X3,X2),sdtasdt0(X3,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ~ sdtlseqdt0(X2,X1) ),
inference(split_conjunct,[status(thm)],[74]) ).
fof(79,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)],[11]) ).
fof(80,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)],[79]) ).
fof(81,plain,
! [X4,X5] :
( ~ aNaturalNumber0(X4)
| ~ aNaturalNumber0(X5)
| ( ( ~ sdtlseqdt0(X4,X5)
| ( aNaturalNumber0(esk1_2(X4,X5))
& equal(sdtpldt0(X4,esk1_2(X4,X5)),X5) ) )
& ( ! [X7] :
( ~ aNaturalNumber0(X7)
| ~ equal(sdtpldt0(X4,X7),X5) )
| sdtlseqdt0(X4,X5) ) ) ),
inference(skolemize,[status(esa)],[80]) ).
fof(82,plain,
! [X4,X5,X7] :
( ( ( ~ aNaturalNumber0(X7)
| ~ equal(sdtpldt0(X4,X7),X5)
| sdtlseqdt0(X4,X5) )
& ( ~ sdtlseqdt0(X4,X5)
| ( aNaturalNumber0(esk1_2(X4,X5))
& equal(sdtpldt0(X4,esk1_2(X4,X5)),X5) ) ) )
| ~ aNaturalNumber0(X4)
| ~ aNaturalNumber0(X5) ),
inference(shift_quantors,[status(thm)],[81]) ).
fof(83,plain,
! [X4,X5,X7] :
( ( ~ aNaturalNumber0(X7)
| ~ equal(sdtpldt0(X4,X7),X5)
| sdtlseqdt0(X4,X5)
| ~ aNaturalNumber0(X4)
| ~ aNaturalNumber0(X5) )
& ( aNaturalNumber0(esk1_2(X4,X5))
| ~ sdtlseqdt0(X4,X5)
| ~ aNaturalNumber0(X4)
| ~ aNaturalNumber0(X5) )
& ( equal(sdtpldt0(X4,esk1_2(X4,X5)),X5)
| ~ sdtlseqdt0(X4,X5)
| ~ aNaturalNumber0(X4)
| ~ aNaturalNumber0(X5) ) ),
inference(distribute,[status(thm)],[82]) ).
cnf(86,plain,
( sdtlseqdt0(X2,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| sdtpldt0(X2,X3) != X1
| ~ aNaturalNumber0(X3) ),
inference(split_conjunct,[status(thm)],[83]) ).
fof(90,plain,
! [X1,X2] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X2,X1)
| equal(X1,X2) ),
inference(fof_nnf,[status(thm)],[13]) ).
fof(91,plain,
! [X3,X4] :
( ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X4)
| ~ sdtlseqdt0(X3,X4)
| ~ sdtlseqdt0(X4,X3)
| equal(X3,X4) ),
inference(variable_rename,[status(thm)],[90]) ).
cnf(92,plain,
( X1 = X2
| ~ sdtlseqdt0(X2,X1)
| ~ sdtlseqdt0(X1,X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[91]) ).
cnf(98,plain,
sz10 != sz00,
inference(split_conjunct,[status(thm)],[15]) ).
cnf(99,plain,
aNaturalNumber0(sz10),
inference(split_conjunct,[status(thm)],[15]) ).
fof(100,negated_conjecture,
( ~ equal(xm,sz00)
& ~ sdtlseqdt0(xn,sdtasdt0(xn,xm)) ),
inference(fof_nnf,[status(thm)],[30]) ).
cnf(101,negated_conjecture,
~ sdtlseqdt0(xn,sdtasdt0(xn,xm)),
inference(split_conjunct,[status(thm)],[100]) ).
cnf(102,negated_conjecture,
xm != sz00,
inference(split_conjunct,[status(thm)],[100]) ).
cnf(103,plain,
aNaturalNumber0(xn),
inference(split_conjunct,[status(thm)],[17]) ).
cnf(104,plain,
aNaturalNumber0(xm),
inference(split_conjunct,[status(thm)],[17]) ).
fof(105,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)],[18]) ).
fof(106,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)],[105]) ).
cnf(107,plain,
( sdtasdt0(sdtasdt0(X1,X2),X3) = sdtasdt0(X1,sdtasdt0(X2,X3))
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[106]) ).
fof(113,plain,
! [X1] :
( ~ aNaturalNumber0(X1)
| sdtlseqdt0(X1,X1) ),
inference(fof_nnf,[status(thm)],[20]) ).
fof(114,plain,
! [X2] :
( ~ aNaturalNumber0(X2)
| sdtlseqdt0(X2,X2) ),
inference(variable_rename,[status(thm)],[113]) ).
cnf(115,plain,
( sdtlseqdt0(X1,X1)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[114]) ).
fof(116,plain,
! [X1,X2] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ sdtlseqdt0(X1,X2)
| ! [X3] :
( ( ~ equal(X3,sdtmndt0(X2,X1))
| ( aNaturalNumber0(X3)
& equal(sdtpldt0(X1,X3),X2) ) )
& ( ~ aNaturalNumber0(X3)
| ~ equal(sdtpldt0(X1,X3),X2)
| equal(X3,sdtmndt0(X2,X1)) ) ) ),
inference(fof_nnf,[status(thm)],[21]) ).
fof(117,plain,
! [X4,X5] :
( ~ aNaturalNumber0(X4)
| ~ aNaturalNumber0(X5)
| ~ sdtlseqdt0(X4,X5)
| ! [X6] :
( ( ~ equal(X6,sdtmndt0(X5,X4))
| ( aNaturalNumber0(X6)
& equal(sdtpldt0(X4,X6),X5) ) )
& ( ~ aNaturalNumber0(X6)
| ~ equal(sdtpldt0(X4,X6),X5)
| equal(X6,sdtmndt0(X5,X4)) ) ) ),
inference(variable_rename,[status(thm)],[116]) ).
fof(118,plain,
! [X4,X5,X6] :
( ( ( ~ equal(X6,sdtmndt0(X5,X4))
| ( aNaturalNumber0(X6)
& equal(sdtpldt0(X4,X6),X5) ) )
& ( ~ aNaturalNumber0(X6)
| ~ equal(sdtpldt0(X4,X6),X5)
| equal(X6,sdtmndt0(X5,X4)) ) )
| ~ sdtlseqdt0(X4,X5)
| ~ aNaturalNumber0(X4)
| ~ aNaturalNumber0(X5) ),
inference(shift_quantors,[status(thm)],[117]) ).
fof(119,plain,
! [X4,X5,X6] :
( ( aNaturalNumber0(X6)
| ~ equal(X6,sdtmndt0(X5,X4))
| ~ sdtlseqdt0(X4,X5)
| ~ aNaturalNumber0(X4)
| ~ aNaturalNumber0(X5) )
& ( equal(sdtpldt0(X4,X6),X5)
| ~ equal(X6,sdtmndt0(X5,X4))
| ~ sdtlseqdt0(X4,X5)
| ~ aNaturalNumber0(X4)
| ~ aNaturalNumber0(X5) )
& ( ~ aNaturalNumber0(X6)
| ~ equal(sdtpldt0(X4,X6),X5)
| equal(X6,sdtmndt0(X5,X4))
| ~ sdtlseqdt0(X4,X5)
| ~ aNaturalNumber0(X4)
| ~ aNaturalNumber0(X5) ) ),
inference(distribute,[status(thm)],[118]) ).
cnf(120,plain,
( X3 = sdtmndt0(X1,X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ sdtlseqdt0(X2,X1)
| sdtpldt0(X2,X3) != X1
| ~ aNaturalNumber0(X3) ),
inference(split_conjunct,[status(thm)],[119]) ).
cnf(122,plain,
( aNaturalNumber0(X3)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ sdtlseqdt0(X2,X1)
| X3 != sdtmndt0(X1,X2) ),
inference(split_conjunct,[status(thm)],[119]) ).
fof(123,plain,
! [X1,X2] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| aNaturalNumber0(sdtasdt0(X1,X2)) ),
inference(fof_nnf,[status(thm)],[22]) ).
fof(124,plain,
! [X3,X4] :
( ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X4)
| aNaturalNumber0(sdtasdt0(X3,X4)) ),
inference(variable_rename,[status(thm)],[123]) ).
cnf(125,plain,
( aNaturalNumber0(sdtasdt0(X1,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[124]) ).
cnf(126,plain,
aNaturalNumber0(sz00),
inference(split_conjunct,[status(thm)],[23]) ).
fof(135,plain,
! [X1,X2] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| equal(sdtasdt0(X1,X2),sdtasdt0(X2,X1)) ),
inference(fof_nnf,[status(thm)],[26]) ).
fof(136,plain,
! [X3,X4] :
( ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X4)
| equal(sdtasdt0(X3,X4),sdtasdt0(X4,X3)) ),
inference(variable_rename,[status(thm)],[135]) ).
cnf(137,plain,
( sdtasdt0(X1,X2) = sdtasdt0(X2,X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[136]) ).
fof(138,plain,
( equal(xm,sz00)
| sdtlseqdt0(sz10,xm) ),
inference(fof_nnf,[status(thm)],[27]) ).
cnf(139,plain,
( sdtlseqdt0(sz10,xm)
| xm = sz00 ),
inference(split_conjunct,[status(thm)],[138]) ).
fof(140,plain,
! [X1] :
( ~ aNaturalNumber0(X1)
| ( equal(sdtpldt0(X1,sz00),X1)
& equal(X1,sdtpldt0(sz00,X1)) ) ),
inference(fof_nnf,[status(thm)],[28]) ).
fof(141,plain,
! [X2] :
( ~ aNaturalNumber0(X2)
| ( equal(sdtpldt0(X2,sz00),X2)
& equal(X2,sdtpldt0(sz00,X2)) ) ),
inference(variable_rename,[status(thm)],[140]) ).
fof(142,plain,
! [X2] :
( ( equal(sdtpldt0(X2,sz00),X2)
| ~ aNaturalNumber0(X2) )
& ( equal(X2,sdtpldt0(sz00,X2))
| ~ aNaturalNumber0(X2) ) ),
inference(distribute,[status(thm)],[141]) ).
cnf(143,plain,
( X1 = sdtpldt0(sz00,X1)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[142]) ).
cnf(144,plain,
( sdtpldt0(X1,sz00) = X1
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[142]) ).
fof(145,plain,
! [X1] :
( ~ aNaturalNumber0(X1)
| ( equal(sdtasdt0(X1,sz10),X1)
& equal(X1,sdtasdt0(sz10,X1)) ) ),
inference(fof_nnf,[status(thm)],[29]) ).
fof(146,plain,
! [X2] :
( ~ aNaturalNumber0(X2)
| ( equal(sdtasdt0(X2,sz10),X2)
& equal(X2,sdtasdt0(sz10,X2)) ) ),
inference(variable_rename,[status(thm)],[145]) ).
fof(147,plain,
! [X2] :
( ( equal(sdtasdt0(X2,sz10),X2)
| ~ aNaturalNumber0(X2) )
& ( equal(X2,sdtasdt0(sz10,X2))
| ~ aNaturalNumber0(X2) ) ),
inference(distribute,[status(thm)],[146]) ).
cnf(148,plain,
( X1 = sdtasdt0(sz10,X1)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[147]) ).
cnf(149,plain,
( sdtasdt0(X1,sz10) = X1
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[147]) ).
cnf(150,plain,
sdtlseqdt0(sz10,xm),
inference(sr,[status(thm)],[139,102,theory(equality)]) ).
cnf(168,plain,
( sdtlseqdt0(X1,xn)
| sdtlseqdt0(xn,X1)
| ~ aNaturalNumber0(X1) ),
inference(spm,[status(thm)],[56,103,theory(equality)]) ).
cnf(171,negated_conjecture,
( ~ sdtlseqdt0(xn,sdtasdt0(xm,xn))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xn) ),
inference(spm,[status(thm)],[101,137,theory(equality)]) ).
cnf(183,negated_conjecture,
( ~ sdtlseqdt0(xn,sdtasdt0(xm,xn))
| $false
| ~ aNaturalNumber0(xn) ),
inference(rw,[status(thm)],[171,104,theory(equality)]) ).
cnf(184,negated_conjecture,
( ~ sdtlseqdt0(xn,sdtasdt0(xm,xn))
| $false
| $false ),
inference(rw,[status(thm)],[183,103,theory(equality)]) ).
cnf(185,negated_conjecture,
~ sdtlseqdt0(xn,sdtasdt0(xm,xn)),
inference(cn,[status(thm)],[184,theory(equality)]) ).
cnf(253,plain,
( sdtlseqdt0(sz00,X1)
| X2 != X1
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1) ),
inference(spm,[status(thm)],[86,143,theory(equality)]) ).
cnf(259,plain,
( sdtlseqdt0(sz00,X1)
| X2 != X1
| ~ aNaturalNumber0(X2)
| $false
| ~ aNaturalNumber0(X1) ),
inference(rw,[status(thm)],[253,126,theory(equality)]) ).
cnf(260,plain,
( sdtlseqdt0(sz00,X1)
| X2 != X1
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(cn,[status(thm)],[259,theory(equality)]) ).
cnf(261,plain,
( sdtlseqdt0(sz00,X1)
| ~ aNaturalNumber0(X1) ),
inference(er,[status(thm)],[260,theory(equality)]) ).
cnf(282,plain,
( sdtasdt0(sz00,X2) = sdtasdt0(sz00,sdtasdt0(X1,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(sz00) ),
inference(spm,[status(thm)],[107,34,theory(equality)]) ).
cnf(283,plain,
( sdtasdt0(X1,sdtasdt0(X2,sz10)) = sdtasdt0(X1,X2)
| ~ aNaturalNumber0(sdtasdt0(X1,X2))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(spm,[status(thm)],[149,107,theory(equality)]) ).
cnf(291,plain,
( sz00 = X1
| sz00 = sdtasdt0(X2,X3)
| sdtasdt0(X2,sdtasdt0(X3,X1)) != sz00
| ~ aNaturalNumber0(sdtasdt0(X2,X3))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2) ),
inference(spm,[status(thm)],[41,107,theory(equality)]) ).
cnf(298,plain,
( sdtasdt0(sz00,X2) = sdtasdt0(sz00,sdtasdt0(X1,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| $false ),
inference(rw,[status(thm)],[282,126,theory(equality)]) ).
cnf(299,plain,
( sdtasdt0(sz00,X2) = sdtasdt0(sz00,sdtasdt0(X1,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(cn,[status(thm)],[298,theory(equality)]) ).
cnf(300,plain,
( sdtasdt0(X1,sdtasdt0(X2,sz10)) = sdtasdt0(X1,X2)
| ~ aNaturalNumber0(sdtasdt0(X1,X2))
| $false
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(rw,[status(thm)],[283,99,theory(equality)]) ).
cnf(301,plain,
( sdtasdt0(X1,sdtasdt0(X2,sz10)) = sdtasdt0(X1,X2)
| ~ aNaturalNumber0(sdtasdt0(X1,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(cn,[status(thm)],[300,theory(equality)]) ).
cnf(399,plain,
( sdtmndt0(X1,X2) = X3
| sdtpldt0(X2,X3) != X1
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(csr,[status(thm)],[120,86]) ).
cnf(401,plain,
( sdtmndt0(X1,X2) = sz00
| X2 != X1
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(spm,[status(thm)],[399,144,theory(equality)]) ).
cnf(406,plain,
( sdtmndt0(X1,X2) = sz00
| X2 != X1
| $false
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(rw,[status(thm)],[401,126,theory(equality)]) ).
cnf(407,plain,
( sdtmndt0(X1,X2) = sz00
| X2 != X1
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(cn,[status(thm)],[406,theory(equality)]) ).
cnf(408,plain,
( sdtmndt0(X1,X1) = sz00
| ~ aNaturalNumber0(X1) ),
inference(er,[status(thm)],[407,theory(equality)]) ).
cnf(419,plain,
( sz00 = X1
| X2 = sz10
| sdtlseqdt0(X1,sdtasdt0(X1,X2))
| ~ sdtlseqdt0(sz10,X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X2) ),
inference(spm,[status(thm)],[77,149,theory(equality)]) ).
cnf(435,plain,
( sz00 = X1
| X2 = sz10
| sdtlseqdt0(X1,sdtasdt0(X1,X2))
| ~ sdtlseqdt0(sz10,X2)
| ~ aNaturalNumber0(X1)
| $false
| ~ aNaturalNumber0(X2) ),
inference(rw,[status(thm)],[419,99,theory(equality)]) ).
cnf(436,plain,
( sz00 = X1
| X2 = sz10
| sdtlseqdt0(X1,sdtasdt0(X1,X2))
| ~ sdtlseqdt0(sz10,X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(cn,[status(thm)],[435,theory(equality)]) ).
cnf(636,plain,
( X1 = sz00
| ~ sdtlseqdt0(X1,sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1) ),
inference(spm,[status(thm)],[92,261,theory(equality)]) ).
cnf(638,plain,
( X1 = sz00
| ~ sdtlseqdt0(X1,sz00)
| $false
| ~ aNaturalNumber0(X1) ),
inference(rw,[status(thm)],[636,126,theory(equality)]) ).
cnf(639,plain,
( X1 = sz00
| ~ sdtlseqdt0(X1,sz00)
| ~ aNaturalNumber0(X1) ),
inference(cn,[status(thm)],[638,theory(equality)]) ).
cnf(724,plain,
( sdtlseqdt0(xn,sz00)
| sdtlseqdt0(sz00,xn) ),
inference(spm,[status(thm)],[168,126,theory(equality)]) ).
cnf(726,plain,
sdtlseqdt0(xn,xn),
inference(spm,[status(thm)],[168,103,theory(equality)]) ).
cnf(822,plain,
( xn = sz00
| sdtlseqdt0(sz00,xn)
| ~ aNaturalNumber0(xn) ),
inference(spm,[status(thm)],[639,724,theory(equality)]) ).
cnf(830,plain,
( xn = sz00
| sdtlseqdt0(sz00,xn)
| $false ),
inference(rw,[status(thm)],[822,103,theory(equality)]) ).
cnf(831,plain,
( xn = sz00
| sdtlseqdt0(sz00,xn) ),
inference(cn,[status(thm)],[830,theory(equality)]) ).
cnf(880,plain,
( xn = sz00
| ~ sdtlseqdt0(xn,sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn) ),
inference(spm,[status(thm)],[92,831,theory(equality)]) ).
cnf(882,plain,
( xn = sz00
| ~ sdtlseqdt0(xn,sz00)
| $false
| ~ aNaturalNumber0(xn) ),
inference(rw,[status(thm)],[880,126,theory(equality)]) ).
cnf(883,plain,
( xn = sz00
| ~ sdtlseqdt0(xn,sz00)
| $false
| $false ),
inference(rw,[status(thm)],[882,103,theory(equality)]) ).
cnf(884,plain,
( xn = sz00
| ~ sdtlseqdt0(xn,sz00) ),
inference(cn,[status(thm)],[883,theory(equality)]) ).
cnf(1126,plain,
( aNaturalNumber0(X1)
| sz00 != X1
| ~ sdtlseqdt0(X2,X2)
| ~ aNaturalNumber0(X2) ),
inference(spm,[status(thm)],[122,408,theory(equality)]) ).
cnf(1463,plain,
( aNaturalNumber0(X1)
| sz00 != X1
| ~ aNaturalNumber0(X2) ),
inference(csr,[status(thm)],[1126,115]) ).
cnf(1464,plain,
( aNaturalNumber0(X1)
| sz00 != X1 ),
inference(spm,[status(thm)],[1463,126,theory(equality)]) ).
cnf(2111,plain,
( sdtasdt0(sz00,X1) = sdtasdt0(sz00,sz10)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1) ),
inference(spm,[status(thm)],[299,149,theory(equality)]) ).
cnf(2132,plain,
( sdtasdt0(sz00,X1) = sdtasdt0(sz00,sz10)
| $false
| ~ aNaturalNumber0(X1) ),
inference(rw,[status(thm)],[2111,99,theory(equality)]) ).
cnf(2133,plain,
( sdtasdt0(sz00,X1) = sdtasdt0(sz00,sz10)
| ~ aNaturalNumber0(X1) ),
inference(cn,[status(thm)],[2132,theory(equality)]) ).
cnf(2265,plain,
( sdtasdt0(X1,sdtasdt0(X2,sz10)) = sdtasdt0(X1,X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(csr,[status(thm)],[301,125]) ).
cnf(2323,plain,
( sdtasdt0(sz00,sz10) = sz00
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sz10) ),
inference(spm,[status(thm)],[149,2133,theory(equality)]) ).
cnf(2368,plain,
( sdtasdt0(sz00,sz10) = sz00
| $false
| ~ aNaturalNumber0(sz10) ),
inference(rw,[status(thm)],[2323,126,theory(equality)]) ).
cnf(2369,plain,
( sdtasdt0(sz00,sz10) = sz00
| $false
| $false ),
inference(rw,[status(thm)],[2368,99,theory(equality)]) ).
cnf(2370,plain,
sdtasdt0(sz00,sz10) = sz00,
inference(cn,[status(thm)],[2369,theory(equality)]) ).
cnf(2470,plain,
( sz00 = sz10
| sz00 = X1
| sz00 != sdtasdt0(X1,sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sz10) ),
inference(spm,[status(thm)],[46,2370,theory(equality)]) ).
cnf(2491,plain,
( sz00 = sz10
| sz00 = X1
| sz00 != sdtasdt0(X1,sz10)
| ~ aNaturalNumber0(X1)
| $false
| ~ aNaturalNumber0(sz10) ),
inference(rw,[status(thm)],[2470,126,theory(equality)]) ).
cnf(2492,plain,
( sz00 = sz10
| sz00 = X1
| sz00 != sdtasdt0(X1,sz10)
| ~ aNaturalNumber0(X1)
| $false
| $false ),
inference(rw,[status(thm)],[2491,99,theory(equality)]) ).
cnf(2493,plain,
( sz00 = sz10
| sz00 = X1
| sz00 != sdtasdt0(X1,sz10)
| ~ aNaturalNumber0(X1) ),
inference(cn,[status(thm)],[2492,theory(equality)]) ).
cnf(2494,plain,
( sz00 = X1
| sdtasdt0(X1,sz10) != sz00
| ~ aNaturalNumber0(X1) ),
inference(sr,[status(thm)],[2493,98,theory(equality)]) ).
cnf(2584,plain,
( sz00 = X1
| sdtasdt0(sz10,X1) != sz00
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(sz10) ),
inference(spm,[status(thm)],[2494,137,theory(equality)]) ).
cnf(2589,plain,
( sz00 = X1
| sdtasdt0(sz10,X1) != sz00
| ~ aNaturalNumber0(X1)
| $false ),
inference(rw,[status(thm)],[2584,99,theory(equality)]) ).
cnf(2590,plain,
( sz00 = X1
| sdtasdt0(sz10,X1) != sz00
| ~ aNaturalNumber0(X1) ),
inference(cn,[status(thm)],[2589,theory(equality)]) ).
cnf(2601,plain,
( sz00 = sdtasdt0(X1,sz10)
| sdtasdt0(sz10,X1) != sz00
| ~ aNaturalNumber0(sdtasdt0(X1,sz10))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(sz10) ),
inference(spm,[status(thm)],[2590,2265,theory(equality)]) ).
cnf(2613,plain,
( sz00 = sdtasdt0(X1,sz10)
| sdtasdt0(sz10,X1) != sz00
| ~ aNaturalNumber0(sdtasdt0(X1,sz10))
| ~ aNaturalNumber0(X1)
| $false ),
inference(rw,[status(thm)],[2601,99,theory(equality)]) ).
cnf(2614,plain,
( sz00 = sdtasdt0(X1,sz10)
| sdtasdt0(sz10,X1) != sz00
| ~ aNaturalNumber0(sdtasdt0(X1,sz10))
| ~ aNaturalNumber0(X1) ),
inference(cn,[status(thm)],[2613,theory(equality)]) ).
cnf(3423,plain,
( sdtasdt0(X2,X3) = sz00
| sz00 = X1
| sdtasdt0(X2,sdtasdt0(X3,X1)) != sz00
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2) ),
inference(csr,[status(thm)],[291,125]) ).
cnf(3923,plain,
( sdtasdt0(X1,sz10) = sz00
| sdtasdt0(sz10,X1) != sz00
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(sz10) ),
inference(spm,[status(thm)],[2614,125,theory(equality)]) ).
cnf(3934,plain,
( sdtasdt0(X1,sz10) = sz00
| sdtasdt0(sz10,X1) != sz00
| ~ aNaturalNumber0(X1)
| $false ),
inference(rw,[status(thm)],[3923,99,theory(equality)]) ).
cnf(3935,plain,
( sdtasdt0(X1,sz10) = sz00
| sdtasdt0(sz10,X1) != sz00
| ~ aNaturalNumber0(X1) ),
inference(cn,[status(thm)],[3934,theory(equality)]) ).
cnf(3966,plain,
( sdtasdt0(X1,sz10) = sz00
| X1 != sz00
| ~ aNaturalNumber0(X1) ),
inference(spm,[status(thm)],[3935,148,theory(equality)]) ).
cnf(4002,plain,
( sdtasdt0(X1,sz10) = sz00
| X1 != sz00 ),
inference(csr,[status(thm)],[3966,1464]) ).
cnf(4045,plain,
( sdtasdt0(X1,X2) = sz00
| sz00 = sz10
| sdtasdt0(X1,sz00) != sz00
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| X2 != sz00 ),
inference(spm,[status(thm)],[3423,4002,theory(equality)]) ).
cnf(4129,plain,
( sdtasdt0(X1,X2) = sz00
| sz00 = sz10
| sdtasdt0(X1,sz00) != sz00
| $false
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| X2 != sz00 ),
inference(rw,[status(thm)],[4045,99,theory(equality)]) ).
cnf(4130,plain,
( sdtasdt0(X1,X2) = sz00
| sz00 = sz10
| sdtasdt0(X1,sz00) != sz00
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| X2 != sz00 ),
inference(cn,[status(thm)],[4129,theory(equality)]) ).
cnf(4131,plain,
( sdtasdt0(X1,X2) = sz00
| sdtasdt0(X1,sz00) != sz00
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| X2 != sz00 ),
inference(sr,[status(thm)],[4130,98,theory(equality)]) ).
cnf(8198,plain,
( sdtasdt0(X1,X2) = sz00
| sdtasdt0(X1,sz00) != sz00
| X2 != sz00
| ~ aNaturalNumber0(X1) ),
inference(csr,[status(thm)],[4131,1464]) ).
cnf(8199,plain,
( sdtasdt0(X1,X2) = sz00
| X2 != sz00
| ~ aNaturalNumber0(X1) ),
inference(csr,[status(thm)],[8198,35]) ).
cnf(8202,negated_conjecture,
( ~ sdtlseqdt0(xn,sz00)
| xn != sz00
| ~ aNaturalNumber0(xm) ),
inference(spm,[status(thm)],[185,8199,theory(equality)]) ).
cnf(8309,negated_conjecture,
( ~ sdtlseqdt0(xn,sz00)
| xn != sz00
| $false ),
inference(rw,[status(thm)],[8202,104,theory(equality)]) ).
cnf(8310,negated_conjecture,
( ~ sdtlseqdt0(xn,sz00)
| xn != sz00 ),
inference(cn,[status(thm)],[8309,theory(equality)]) ).
cnf(8395,negated_conjecture,
~ sdtlseqdt0(xn,sz00),
inference(csr,[status(thm)],[8310,884]) ).
cnf(9061,negated_conjecture,
( xm = sz10
| sz00 = xn
| ~ sdtlseqdt0(sz10,xm)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xm) ),
inference(spm,[status(thm)],[101,436,theory(equality)]) ).
cnf(9093,negated_conjecture,
( xm = sz10
| sz00 = xn
| $false
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xm) ),
inference(rw,[status(thm)],[9061,150,theory(equality)]) ).
cnf(9094,negated_conjecture,
( xm = sz10
| sz00 = xn
| $false
| $false
| ~ aNaturalNumber0(xm) ),
inference(rw,[status(thm)],[9093,103,theory(equality)]) ).
cnf(9095,negated_conjecture,
( xm = sz10
| sz00 = xn
| $false
| $false
| $false ),
inference(rw,[status(thm)],[9094,104,theory(equality)]) ).
cnf(9096,negated_conjecture,
( xm = sz10
| sz00 = xn ),
inference(cn,[status(thm)],[9095,theory(equality)]) ).
cnf(9134,negated_conjecture,
( sdtlseqdt0(sz00,sz00)
| xm = sz10 ),
inference(spm,[status(thm)],[726,9096,theory(equality)]) ).
cnf(9138,negated_conjecture,
( xm = sz10
| ~ sdtlseqdt0(sz00,sz00) ),
inference(spm,[status(thm)],[8395,9096,theory(equality)]) ).
cnf(9174,negated_conjecture,
xm = sz10,
inference(csr,[status(thm)],[9138,9134]) ).
cnf(9184,negated_conjecture,
~ sdtlseqdt0(xn,sdtasdt0(sz10,xn)),
inference(rw,[status(thm)],[185,9174,theory(equality)]) ).
cnf(9253,negated_conjecture,
( ~ sdtlseqdt0(xn,xn)
| ~ aNaturalNumber0(xn) ),
inference(spm,[status(thm)],[9184,148,theory(equality)]) ).
cnf(9258,negated_conjecture,
( $false
| ~ aNaturalNumber0(xn) ),
inference(rw,[status(thm)],[9253,726,theory(equality)]) ).
cnf(9259,negated_conjecture,
( $false
| $false ),
inference(rw,[status(thm)],[9258,103,theory(equality)]) ).
cnf(9260,negated_conjecture,
$false,
inference(cn,[status(thm)],[9259,theory(equality)]) ).
cnf(9261,negated_conjecture,
$false,
9260,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM465+1 : TPTP v7.0.0. Released v4.0.0.
% 0.00/0.04 % Command : Source/sine.py -e eprover -t %d %s
% 0.03/0.22 % Computer : n030.star.cs.uiowa.edu
% 0.03/0.22 % Model : x86_64 x86_64
% 0.03/0.22 % CPU : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
% 0.03/0.22 % Memory : 32218.625MB
% 0.03/0.22 % OS : Linux 3.10.0-693.2.2.el7.x86_64
% 0.03/0.22 % CPULimit : 300
% 0.03/0.22 % DateTime : Fri Jan 5 04:45:00 CST 2018
% 0.03/0.22 % CPUTime :
% 0.06/0.27 % SZS status Started for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.06/0.27 --creating new selector for []
% 0.06/0.46 -running prover on /export/starexec/sandbox/tmp/tmprmKArl/sel_theBenchmark.p_1 with time limit 29
% 0.06/0.46 -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/tmprmKArl/sel_theBenchmark.p_1']
% 0.06/0.46 -prover status Theorem
% 0.06/0.46 Problem theBenchmark.p solved in phase 0.
% 0.06/0.46 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.06/0.46 % SZS status Ended for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.06/0.46 Solved 1 out of 1.
% 0.06/0.46 # Problem is unsatisfiable (or provable), constructing proof object
% 0.06/0.46 # SZS status Theorem
% 0.06/0.46 # SZS output start CNFRefutation.
% See solution above
% 0.06/0.46 # SZS output end CNFRefutation
%------------------------------------------------------------------------------