TSTP Solution File: NUM459+1 by SInE---0.4
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- Process Solution
%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : NUM459+1 : TPTP v7.0.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : n073.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 15:21:24 EST 2018
% Result : Theorem 23.17s
% Output : CNFRefutation 23.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 54
% Number of leaves : 19
% Syntax : Number of formulae : 341 ( 62 unt; 0 def)
% Number of atoms : 1110 ( 242 equ)
% Maximal formula atoms : 16 ( 3 avg)
% Number of connectives : 1312 ( 543 ~; 675 |; 69 &)
% ( 2 <=>; 23 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Maximal term depth : 4 ( 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 : 316 ( 0 sgn 133 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(1,axiom,
! [X1] :
( aNaturalNumber0(X1)
=> ( equal(sdtasdt0(X1,sz00),sz00)
& equal(sz00,sdtasdt0(sz00,X1)) ) ),
file('/export/starexec/sandbox/tmp/tmpyAR6Vf/sel_theBenchmark.p_1',m_MulZero) ).
fof(2,axiom,
! [X1,X2] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> equal(sdtpldt0(X1,X2),sdtpldt0(X2,X1)) ),
file('/export/starexec/sandbox/tmp/tmpyAR6Vf/sel_theBenchmark.p_1',mAddComm) ).
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/tmpyAR6Vf/sel_theBenchmark.p_1',mMulCanc) ).
fof(5,axiom,
( aNaturalNumber0(xm)
& aNaturalNumber0(xn) ),
file('/export/starexec/sandbox/tmp/tmpyAR6Vf/sel_theBenchmark.p_1',m__745) ).
fof(6,axiom,
! [X1,X2,X3] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2)
& aNaturalNumber0(X3) )
=> ( equal(sdtasdt0(X1,sdtpldt0(X2,X3)),sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,X3)))
& equal(sdtasdt0(sdtpldt0(X2,X3),X1),sdtpldt0(sdtasdt0(X2,X1),sdtasdt0(X3,X1))) ) ),
file('/export/starexec/sandbox/tmp/tmpyAR6Vf/sel_theBenchmark.p_1',mAMDistr) ).
fof(8,axiom,
! [X1,X2] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> ( sdtlseqdt0(X1,X2)
<=> ? [X3] :
( aNaturalNumber0(X3)
& equal(sdtpldt0(X1,X3),X2) ) ) ),
file('/export/starexec/sandbox/tmp/tmpyAR6Vf/sel_theBenchmark.p_1',mDefLE) ).
fof(9,axiom,
! [X1,X2,X3] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2)
& aNaturalNumber0(X3) )
=> equal(sdtpldt0(sdtpldt0(X1,X2),X3),sdtpldt0(X1,sdtpldt0(X2,X3))) ),
file('/export/starexec/sandbox/tmp/tmpyAR6Vf/sel_theBenchmark.p_1',mAddAsso) ).
fof(10,axiom,
( aNaturalNumber0(sz10)
& ~ equal(sz10,sz00) ),
file('/export/starexec/sandbox/tmp/tmpyAR6Vf/sel_theBenchmark.p_1',mSortsC_01) ).
fof(11,conjecture,
( ( sdtlseqdt0(xm,xn)
& sdtlseqdt0(xn,xm) )
=> equal(xm,xn) ),
file('/export/starexec/sandbox/tmp/tmpyAR6Vf/sel_theBenchmark.p_1',m__) ).
fof(12,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/tmpyAR6Vf/sel_theBenchmark.p_1',mMulAsso) ).
fof(13,axiom,
! [X1,X2] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> ( equal(sdtpldt0(X1,X2),sz00)
=> ( equal(X1,sz00)
& equal(X2,sz00) ) ) ),
file('/export/starexec/sandbox/tmp/tmpyAR6Vf/sel_theBenchmark.p_1',mZeroAdd) ).
fof(15,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/tmpyAR6Vf/sel_theBenchmark.p_1',mDefDiff) ).
fof(16,axiom,
! [X1,X2] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> aNaturalNumber0(sdtasdt0(X1,X2)) ),
file('/export/starexec/sandbox/tmp/tmpyAR6Vf/sel_theBenchmark.p_1',mSortsB_02) ).
fof(17,axiom,
aNaturalNumber0(sz00),
file('/export/starexec/sandbox/tmp/tmpyAR6Vf/sel_theBenchmark.p_1',mSortsC) ).
fof(18,axiom,
! [X1,X2] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> aNaturalNumber0(sdtpldt0(X1,X2)) ),
file('/export/starexec/sandbox/tmp/tmpyAR6Vf/sel_theBenchmark.p_1',mSortsB) ).
fof(19,axiom,
! [X1,X2,X3] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2)
& aNaturalNumber0(X3) )
=> ( ( equal(sdtpldt0(X1,X2),sdtpldt0(X1,X3))
| equal(sdtpldt0(X2,X1),sdtpldt0(X3,X1)) )
=> equal(X2,X3) ) ),
file('/export/starexec/sandbox/tmp/tmpyAR6Vf/sel_theBenchmark.p_1',mAddCanc) ).
fof(20,axiom,
! [X1,X2] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> equal(sdtasdt0(X1,X2),sdtasdt0(X2,X1)) ),
file('/export/starexec/sandbox/tmp/tmpyAR6Vf/sel_theBenchmark.p_1',mMulComm) ).
fof(21,axiom,
! [X1] :
( aNaturalNumber0(X1)
=> ( equal(sdtpldt0(X1,sz00),X1)
& equal(X1,sdtpldt0(sz00,X1)) ) ),
file('/export/starexec/sandbox/tmp/tmpyAR6Vf/sel_theBenchmark.p_1',m_AddZero) ).
fof(22,axiom,
! [X1] :
( aNaturalNumber0(X1)
=> ( equal(sdtasdt0(X1,sz10),X1)
& equal(X1,sdtasdt0(sz10,X1)) ) ),
file('/export/starexec/sandbox/tmp/tmpyAR6Vf/sel_theBenchmark.p_1',m_MulUnit) ).
fof(23,negated_conjecture,
~ ( ( sdtlseqdt0(xm,xn)
& sdtlseqdt0(xn,xm) )
=> equal(xm,xn) ),
inference(assume_negation,[status(cth)],[11]) ).
fof(24,plain,
! [X1] :
( ~ aNaturalNumber0(X1)
| ( equal(sdtasdt0(X1,sz00),sz00)
& equal(sz00,sdtasdt0(sz00,X1)) ) ),
inference(fof_nnf,[status(thm)],[1]) ).
fof(25,plain,
! [X2] :
( ~ aNaturalNumber0(X2)
| ( equal(sdtasdt0(X2,sz00),sz00)
& equal(sz00,sdtasdt0(sz00,X2)) ) ),
inference(variable_rename,[status(thm)],[24]) ).
fof(26,plain,
! [X2] :
( ( equal(sdtasdt0(X2,sz00),sz00)
| ~ aNaturalNumber0(X2) )
& ( equal(sz00,sdtasdt0(sz00,X2))
| ~ aNaturalNumber0(X2) ) ),
inference(distribute,[status(thm)],[25]) ).
cnf(27,plain,
( sz00 = sdtasdt0(sz00,X1)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[26]) ).
cnf(28,plain,
( sdtasdt0(X1,sz00) = sz00
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[26]) ).
fof(29,plain,
! [X1,X2] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| equal(sdtpldt0(X1,X2),sdtpldt0(X2,X1)) ),
inference(fof_nnf,[status(thm)],[2]) ).
fof(30,plain,
! [X3,X4] :
( ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X4)
| equal(sdtpldt0(X3,X4),sdtpldt0(X4,X3)) ),
inference(variable_rename,[status(thm)],[29]) ).
cnf(31,plain,
( sdtpldt0(X1,X2) = sdtpldt0(X2,X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[30]) ).
fof(35,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(36,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)],[35]) ).
fof(37,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)],[36]) ).
fof(38,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)],[37]) ).
cnf(39,plain,
( X1 = sz00
| X3 = X2
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| sdtasdt0(X3,X1) != sdtasdt0(X2,X1) ),
inference(split_conjunct,[status(thm)],[38]) ).
cnf(41,plain,
aNaturalNumber0(xn),
inference(split_conjunct,[status(thm)],[5]) ).
cnf(42,plain,
aNaturalNumber0(xm),
inference(split_conjunct,[status(thm)],[5]) ).
fof(43,plain,
! [X1,X2,X3] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ( equal(sdtasdt0(X1,sdtpldt0(X2,X3)),sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,X3)))
& equal(sdtasdt0(sdtpldt0(X2,X3),X1),sdtpldt0(sdtasdt0(X2,X1),sdtasdt0(X3,X1))) ) ),
inference(fof_nnf,[status(thm)],[6]) ).
fof(44,plain,
! [X4,X5,X6] :
( ~ aNaturalNumber0(X4)
| ~ aNaturalNumber0(X5)
| ~ aNaturalNumber0(X6)
| ( equal(sdtasdt0(X4,sdtpldt0(X5,X6)),sdtpldt0(sdtasdt0(X4,X5),sdtasdt0(X4,X6)))
& equal(sdtasdt0(sdtpldt0(X5,X6),X4),sdtpldt0(sdtasdt0(X5,X4),sdtasdt0(X6,X4))) ) ),
inference(variable_rename,[status(thm)],[43]) ).
fof(45,plain,
! [X4,X5,X6] :
( ( equal(sdtasdt0(X4,sdtpldt0(X5,X6)),sdtpldt0(sdtasdt0(X4,X5),sdtasdt0(X4,X6)))
| ~ aNaturalNumber0(X4)
| ~ aNaturalNumber0(X5)
| ~ aNaturalNumber0(X6) )
& ( equal(sdtasdt0(sdtpldt0(X5,X6),X4),sdtpldt0(sdtasdt0(X5,X4),sdtasdt0(X6,X4)))
| ~ aNaturalNumber0(X4)
| ~ aNaturalNumber0(X5)
| ~ aNaturalNumber0(X6) ) ),
inference(distribute,[status(thm)],[44]) ).
cnf(46,plain,
( sdtasdt0(sdtpldt0(X2,X1),X3) = sdtpldt0(sdtasdt0(X2,X3),sdtasdt0(X1,X3))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3) ),
inference(split_conjunct,[status(thm)],[45]) ).
cnf(47,plain,
( sdtasdt0(X3,sdtpldt0(X2,X1)) = sdtpldt0(sdtasdt0(X3,X2),sdtasdt0(X3,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3) ),
inference(split_conjunct,[status(thm)],[45]) ).
fof(51,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)],[8]) ).
fof(52,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)],[51]) ).
fof(53,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)],[52]) ).
fof(54,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)],[53]) ).
fof(55,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)],[54]) ).
cnf(56,plain,
( sdtpldt0(X2,esk1_2(X2,X1)) = X1
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ sdtlseqdt0(X2,X1) ),
inference(split_conjunct,[status(thm)],[55]) ).
cnf(57,plain,
( aNaturalNumber0(esk1_2(X2,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ sdtlseqdt0(X2,X1) ),
inference(split_conjunct,[status(thm)],[55]) ).
cnf(58,plain,
( sdtlseqdt0(X2,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| sdtpldt0(X2,X3) != X1
| ~ aNaturalNumber0(X3) ),
inference(split_conjunct,[status(thm)],[55]) ).
fof(59,plain,
! [X1,X2,X3] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| equal(sdtpldt0(sdtpldt0(X1,X2),X3),sdtpldt0(X1,sdtpldt0(X2,X3))) ),
inference(fof_nnf,[status(thm)],[9]) ).
fof(60,plain,
! [X4,X5,X6] :
( ~ aNaturalNumber0(X4)
| ~ aNaturalNumber0(X5)
| ~ aNaturalNumber0(X6)
| equal(sdtpldt0(sdtpldt0(X4,X5),X6),sdtpldt0(X4,sdtpldt0(X5,X6))) ),
inference(variable_rename,[status(thm)],[59]) ).
cnf(61,plain,
( sdtpldt0(sdtpldt0(X1,X2),X3) = sdtpldt0(X1,sdtpldt0(X2,X3))
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[60]) ).
cnf(62,plain,
sz10 != sz00,
inference(split_conjunct,[status(thm)],[10]) ).
cnf(63,plain,
aNaturalNumber0(sz10),
inference(split_conjunct,[status(thm)],[10]) ).
fof(64,negated_conjecture,
( sdtlseqdt0(xm,xn)
& sdtlseqdt0(xn,xm)
& ~ equal(xm,xn) ),
inference(fof_nnf,[status(thm)],[23]) ).
cnf(65,negated_conjecture,
xm != xn,
inference(split_conjunct,[status(thm)],[64]) ).
cnf(66,negated_conjecture,
sdtlseqdt0(xn,xm),
inference(split_conjunct,[status(thm)],[64]) ).
cnf(67,negated_conjecture,
sdtlseqdt0(xm,xn),
inference(split_conjunct,[status(thm)],[64]) ).
fof(68,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)],[12]) ).
fof(69,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)],[68]) ).
cnf(70,plain,
( sdtasdt0(sdtasdt0(X1,X2),X3) = sdtasdt0(X1,sdtasdt0(X2,X3))
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[69]) ).
fof(71,plain,
! [X1,X2] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ equal(sdtpldt0(X1,X2),sz00)
| ( equal(X1,sz00)
& equal(X2,sz00) ) ),
inference(fof_nnf,[status(thm)],[13]) ).
fof(72,plain,
! [X3,X4] :
( ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X4)
| ~ equal(sdtpldt0(X3,X4),sz00)
| ( equal(X3,sz00)
& equal(X4,sz00) ) ),
inference(variable_rename,[status(thm)],[71]) ).
fof(73,plain,
! [X3,X4] :
( ( equal(X3,sz00)
| ~ equal(sdtpldt0(X3,X4),sz00)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X4) )
& ( equal(X4,sz00)
| ~ equal(sdtpldt0(X3,X4),sz00)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X4) ) ),
inference(distribute,[status(thm)],[72]) ).
cnf(75,plain,
( X2 = sz00
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| sdtpldt0(X2,X1) != sz00 ),
inference(split_conjunct,[status(thm)],[73]) ).
fof(79,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)],[15]) ).
fof(80,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)],[79]) ).
fof(81,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)],[80]) ).
fof(82,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)],[81]) ).
cnf(83,plain,
( X3 = sdtmndt0(X1,X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ sdtlseqdt0(X2,X1)
| sdtpldt0(X2,X3) != X1
| ~ aNaturalNumber0(X3) ),
inference(split_conjunct,[status(thm)],[82]) ).
cnf(84,plain,
( sdtpldt0(X2,X3) = X1
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ sdtlseqdt0(X2,X1)
| X3 != sdtmndt0(X1,X2) ),
inference(split_conjunct,[status(thm)],[82]) ).
cnf(85,plain,
( aNaturalNumber0(X3)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ sdtlseqdt0(X2,X1)
| X3 != sdtmndt0(X1,X2) ),
inference(split_conjunct,[status(thm)],[82]) ).
fof(86,plain,
! [X1,X2] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| aNaturalNumber0(sdtasdt0(X1,X2)) ),
inference(fof_nnf,[status(thm)],[16]) ).
fof(87,plain,
! [X3,X4] :
( ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X4)
| aNaturalNumber0(sdtasdt0(X3,X4)) ),
inference(variable_rename,[status(thm)],[86]) ).
cnf(88,plain,
( aNaturalNumber0(sdtasdt0(X1,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[87]) ).
cnf(89,plain,
aNaturalNumber0(sz00),
inference(split_conjunct,[status(thm)],[17]) ).
fof(90,plain,
! [X1,X2] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| aNaturalNumber0(sdtpldt0(X1,X2)) ),
inference(fof_nnf,[status(thm)],[18]) ).
fof(91,plain,
! [X3,X4] :
( ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X4)
| aNaturalNumber0(sdtpldt0(X3,X4)) ),
inference(variable_rename,[status(thm)],[90]) ).
cnf(92,plain,
( aNaturalNumber0(sdtpldt0(X1,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[91]) ).
fof(93,plain,
! [X1,X2,X3] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ( ~ equal(sdtpldt0(X1,X2),sdtpldt0(X1,X3))
& ~ equal(sdtpldt0(X2,X1),sdtpldt0(X3,X1)) )
| equal(X2,X3) ),
inference(fof_nnf,[status(thm)],[19]) ).
fof(94,plain,
! [X4,X5,X6] :
( ~ aNaturalNumber0(X4)
| ~ aNaturalNumber0(X5)
| ~ aNaturalNumber0(X6)
| ( ~ equal(sdtpldt0(X4,X5),sdtpldt0(X4,X6))
& ~ equal(sdtpldt0(X5,X4),sdtpldt0(X6,X4)) )
| equal(X5,X6) ),
inference(variable_rename,[status(thm)],[93]) ).
fof(95,plain,
! [X4,X5,X6] :
( ( ~ equal(sdtpldt0(X4,X5),sdtpldt0(X4,X6))
| equal(X5,X6)
| ~ aNaturalNumber0(X4)
| ~ aNaturalNumber0(X5)
| ~ aNaturalNumber0(X6) )
& ( ~ equal(sdtpldt0(X5,X4),sdtpldt0(X6,X4))
| equal(X5,X6)
| ~ aNaturalNumber0(X4)
| ~ aNaturalNumber0(X5)
| ~ aNaturalNumber0(X6) ) ),
inference(distribute,[status(thm)],[94]) ).
cnf(96,plain,
( X2 = X1
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| sdtpldt0(X2,X3) != sdtpldt0(X1,X3) ),
inference(split_conjunct,[status(thm)],[95]) ).
cnf(97,plain,
( X2 = X1
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| sdtpldt0(X3,X2) != sdtpldt0(X3,X1) ),
inference(split_conjunct,[status(thm)],[95]) ).
fof(98,plain,
! [X1,X2] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| equal(sdtasdt0(X1,X2),sdtasdt0(X2,X1)) ),
inference(fof_nnf,[status(thm)],[20]) ).
fof(99,plain,
! [X3,X4] :
( ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X4)
| equal(sdtasdt0(X3,X4),sdtasdt0(X4,X3)) ),
inference(variable_rename,[status(thm)],[98]) ).
cnf(100,plain,
( sdtasdt0(X1,X2) = sdtasdt0(X2,X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[99]) ).
fof(101,plain,
! [X1] :
( ~ aNaturalNumber0(X1)
| ( equal(sdtpldt0(X1,sz00),X1)
& equal(X1,sdtpldt0(sz00,X1)) ) ),
inference(fof_nnf,[status(thm)],[21]) ).
fof(102,plain,
! [X2] :
( ~ aNaturalNumber0(X2)
| ( equal(sdtpldt0(X2,sz00),X2)
& equal(X2,sdtpldt0(sz00,X2)) ) ),
inference(variable_rename,[status(thm)],[101]) ).
fof(103,plain,
! [X2] :
( ( equal(sdtpldt0(X2,sz00),X2)
| ~ aNaturalNumber0(X2) )
& ( equal(X2,sdtpldt0(sz00,X2))
| ~ aNaturalNumber0(X2) ) ),
inference(distribute,[status(thm)],[102]) ).
cnf(104,plain,
( X1 = sdtpldt0(sz00,X1)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[103]) ).
cnf(105,plain,
( sdtpldt0(X1,sz00) = X1
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[103]) ).
fof(106,plain,
! [X1] :
( ~ aNaturalNumber0(X1)
| ( equal(sdtasdt0(X1,sz10),X1)
& equal(X1,sdtasdt0(sz10,X1)) ) ),
inference(fof_nnf,[status(thm)],[22]) ).
fof(107,plain,
! [X2] :
( ~ aNaturalNumber0(X2)
| ( equal(sdtasdt0(X2,sz10),X2)
& equal(X2,sdtasdt0(sz10,X2)) ) ),
inference(variable_rename,[status(thm)],[106]) ).
fof(108,plain,
! [X2] :
( ( equal(sdtasdt0(X2,sz10),X2)
| ~ aNaturalNumber0(X2) )
& ( equal(X2,sdtasdt0(sz10,X2))
| ~ aNaturalNumber0(X2) ) ),
inference(distribute,[status(thm)],[107]) ).
cnf(109,plain,
( X1 = sdtasdt0(sz10,X1)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[108]) ).
cnf(110,plain,
( sdtasdt0(X1,sz10) = X1
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[108]) ).
cnf(181,negated_conjecture,
( aNaturalNumber0(esk1_2(xm,xn))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xn) ),
inference(spm,[status(thm)],[57,67,theory(equality)]) ).
cnf(182,negated_conjecture,
( aNaturalNumber0(esk1_2(xn,xm))
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xm) ),
inference(spm,[status(thm)],[57,66,theory(equality)]) ).
cnf(184,negated_conjecture,
( aNaturalNumber0(esk1_2(xm,xn))
| $false
| ~ aNaturalNumber0(xn) ),
inference(rw,[status(thm)],[181,42,theory(equality)]) ).
cnf(185,negated_conjecture,
( aNaturalNumber0(esk1_2(xm,xn))
| $false
| $false ),
inference(rw,[status(thm)],[184,41,theory(equality)]) ).
cnf(186,negated_conjecture,
aNaturalNumber0(esk1_2(xm,xn)),
inference(cn,[status(thm)],[185,theory(equality)]) ).
cnf(187,negated_conjecture,
( aNaturalNumber0(esk1_2(xn,xm))
| $false
| ~ aNaturalNumber0(xm) ),
inference(rw,[status(thm)],[182,41,theory(equality)]) ).
cnf(188,negated_conjecture,
( aNaturalNumber0(esk1_2(xn,xm))
| $false
| $false ),
inference(rw,[status(thm)],[187,42,theory(equality)]) ).
cnf(189,negated_conjecture,
aNaturalNumber0(esk1_2(xn,xm)),
inference(cn,[status(thm)],[188,theory(equality)]) ).
cnf(198,negated_conjecture,
( sdtpldt0(xm,esk1_2(xm,xn)) = xn
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xn) ),
inference(spm,[status(thm)],[56,67,theory(equality)]) ).
cnf(199,negated_conjecture,
( sdtpldt0(xn,esk1_2(xn,xm)) = xm
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xm) ),
inference(spm,[status(thm)],[56,66,theory(equality)]) ).
cnf(201,negated_conjecture,
( sdtpldt0(xm,esk1_2(xm,xn)) = xn
| $false
| ~ aNaturalNumber0(xn) ),
inference(rw,[status(thm)],[198,42,theory(equality)]) ).
cnf(202,negated_conjecture,
( sdtpldt0(xm,esk1_2(xm,xn)) = xn
| $false
| $false ),
inference(rw,[status(thm)],[201,41,theory(equality)]) ).
cnf(203,negated_conjecture,
sdtpldt0(xm,esk1_2(xm,xn)) = xn,
inference(cn,[status(thm)],[202,theory(equality)]) ).
cnf(204,negated_conjecture,
( sdtpldt0(xn,esk1_2(xn,xm)) = xm
| $false
| ~ aNaturalNumber0(xm) ),
inference(rw,[status(thm)],[199,41,theory(equality)]) ).
cnf(205,negated_conjecture,
( sdtpldt0(xn,esk1_2(xn,xm)) = xm
| $false
| $false ),
inference(rw,[status(thm)],[204,42,theory(equality)]) ).
cnf(206,negated_conjecture,
sdtpldt0(xn,esk1_2(xn,xm)) = xm,
inference(cn,[status(thm)],[205,theory(equality)]) ).
cnf(207,plain,
( sdtlseqdt0(X1,sdtpldt0(X1,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(sdtpldt0(X1,X2)) ),
inference(er,[status(thm)],[58,theory(equality)]) ).
cnf(218,plain,
( aNaturalNumber0(sdtmndt0(X1,X2))
| ~ sdtlseqdt0(X2,X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(er,[status(thm)],[85,theory(equality)]) ).
cnf(220,plain,
( sz00 = X1
| X2 != sdtpldt0(X2,X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(sz00) ),
inference(spm,[status(thm)],[97,105,theory(equality)]) ).
cnf(228,plain,
( sz00 = X1
| X2 != sdtpldt0(X2,X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| $false ),
inference(rw,[status(thm)],[220,89,theory(equality)]) ).
cnf(229,plain,
( sz00 = X1
| X2 != sdtpldt0(X2,X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(cn,[status(thm)],[228,theory(equality)]) ).
cnf(253,plain,
( sdtpldt0(X1,sdtmndt0(X2,X1)) = X2
| ~ sdtlseqdt0(X1,X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(er,[status(thm)],[84,theory(equality)]) ).
cnf(257,plain,
( sz00 = sz10
| X1 = X2
| X1 != sdtasdt0(X2,sz10)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(sz10) ),
inference(spm,[status(thm)],[39,110,theory(equality)]) ).
cnf(269,plain,
( sz00 = sz10
| X1 = X2
| X1 != sdtasdt0(X2,sz10)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| $false ),
inference(rw,[status(thm)],[257,63,theory(equality)]) ).
cnf(270,plain,
( sz00 = sz10
| X1 = X2
| X1 != sdtasdt0(X2,sz10)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(cn,[status(thm)],[269,theory(equality)]) ).
cnf(271,plain,
( X1 = X2
| X1 != sdtasdt0(X2,sz10)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(sr,[status(thm)],[270,62,theory(equality)]) ).
cnf(336,plain,
( sdtpldt0(X1,X2) = sdtpldt0(sz00,sdtpldt0(X1,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(sz00) ),
inference(spm,[status(thm)],[61,104,theory(equality)]) ).
cnf(340,plain,
( sdtpldt0(X1,sdtpldt0(X2,X3)) = sdtpldt0(X3,sdtpldt0(X1,X2))
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(sdtpldt0(X1,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(spm,[status(thm)],[31,61,theory(equality)]) ).
cnf(355,plain,
( sdtpldt0(X1,X2) = sdtpldt0(sz00,sdtpldt0(X1,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| $false ),
inference(rw,[status(thm)],[336,89,theory(equality)]) ).
cnf(356,plain,
( sdtpldt0(X1,X2) = sdtpldt0(sz00,sdtpldt0(X1,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(cn,[status(thm)],[355,theory(equality)]) ).
cnf(357,plain,
( sdtmndt0(X1,X2) = X3
| sdtpldt0(X2,X3) != X1
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(csr,[status(thm)],[83,58]) ).
cnf(358,plain,
( sdtmndt0(sdtpldt0(X1,X2),X1) = X2
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(sdtpldt0(X1,X2)) ),
inference(er,[status(thm)],[357,theory(equality)]) ).
cnf(374,plain,
( sdtpldt0(X1,sdtasdt0(X1,X2)) = sdtasdt0(X1,sdtpldt0(sz10,X2))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X2) ),
inference(spm,[status(thm)],[47,110,theory(equality)]) ).
cnf(376,plain,
( sdtpldt0(X1,sdtasdt0(sz10,X2)) = sdtasdt0(sz10,sdtpldt0(X1,X2))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(spm,[status(thm)],[47,109,theory(equality)]) ).
cnf(404,plain,
( sdtpldt0(X1,sdtasdt0(X1,X2)) = sdtasdt0(X1,sdtpldt0(sz10,X2))
| ~ aNaturalNumber0(X1)
| $false
| ~ aNaturalNumber0(X2) ),
inference(rw,[status(thm)],[374,63,theory(equality)]) ).
cnf(405,plain,
( sdtpldt0(X1,sdtasdt0(X1,X2)) = sdtasdt0(X1,sdtpldt0(sz10,X2))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(cn,[status(thm)],[404,theory(equality)]) ).
cnf(408,plain,
( sdtpldt0(X1,sdtasdt0(sz10,X2)) = sdtasdt0(sz10,sdtpldt0(X1,X2))
| $false
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(rw,[status(thm)],[376,63,theory(equality)]) ).
cnf(409,plain,
( sdtpldt0(X1,sdtasdt0(sz10,X2)) = sdtasdt0(sz10,sdtpldt0(X1,X2))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(cn,[status(thm)],[408,theory(equality)]) ).
cnf(416,plain,
( sdtpldt0(X1,sdtasdt0(X2,sz10)) = sdtasdt0(sdtpldt0(X1,X2),sz10)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(spm,[status(thm)],[46,110,theory(equality)]) ).
cnf(447,plain,
( sdtpldt0(X1,sdtasdt0(X2,sz10)) = sdtasdt0(sdtpldt0(X1,X2),sz10)
| $false
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(rw,[status(thm)],[416,63,theory(equality)]) ).
cnf(448,plain,
( sdtpldt0(X1,sdtasdt0(X2,sz10)) = sdtasdt0(sdtpldt0(X1,X2),sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(cn,[status(thm)],[447,theory(equality)]) ).
cnf(461,plain,
( X1 = sdtasdt0(X2,X3)
| X1 != sdtasdt0(X2,sdtasdt0(X3,sz10))
| ~ aNaturalNumber0(sdtasdt0(X2,X3))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2) ),
inference(spm,[status(thm)],[271,70,theory(equality)]) ).
cnf(471,plain,
( X1 = sdtasdt0(X2,X3)
| X1 != sdtasdt0(X2,sdtasdt0(X3,sz10))
| ~ aNaturalNumber0(sdtasdt0(X2,X3))
| ~ aNaturalNumber0(X1)
| $false
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2) ),
inference(rw,[status(thm)],[461,63,theory(equality)]) ).
cnf(472,plain,
( X1 = sdtasdt0(X2,X3)
| X1 != sdtasdt0(X2,sdtasdt0(X3,sz10))
| ~ aNaturalNumber0(sdtasdt0(X2,X3))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2) ),
inference(cn,[status(thm)],[471,theory(equality)]) ).
cnf(495,negated_conjecture,
( xm = X1
| xn != sdtpldt0(X1,esk1_2(xm,xn))
| ~ aNaturalNumber0(esk1_2(xm,xn))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(xm) ),
inference(spm,[status(thm)],[96,203,theory(equality)]) ).
cnf(498,negated_conjecture,
( sdtmndt0(X1,xm) = esk1_2(xm,xn)
| xn != X1
| ~ aNaturalNumber0(esk1_2(xm,xn))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X1) ),
inference(spm,[status(thm)],[357,203,theory(equality)]) ).
cnf(518,negated_conjecture,
( xm = X1
| xn != sdtpldt0(X1,esk1_2(xm,xn))
| $false
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(xm) ),
inference(rw,[status(thm)],[495,186,theory(equality)]) ).
cnf(519,negated_conjecture,
( xm = X1
| xn != sdtpldt0(X1,esk1_2(xm,xn))
| $false
| ~ aNaturalNumber0(X1)
| $false ),
inference(rw,[status(thm)],[518,42,theory(equality)]) ).
cnf(520,negated_conjecture,
( xm = X1
| xn != sdtpldt0(X1,esk1_2(xm,xn))
| ~ aNaturalNumber0(X1) ),
inference(cn,[status(thm)],[519,theory(equality)]) ).
cnf(527,negated_conjecture,
( sdtmndt0(X1,xm) = esk1_2(xm,xn)
| xn != X1
| $false
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X1) ),
inference(rw,[status(thm)],[498,186,theory(equality)]) ).
cnf(528,negated_conjecture,
( sdtmndt0(X1,xm) = esk1_2(xm,xn)
| xn != X1
| $false
| $false
| ~ aNaturalNumber0(X1) ),
inference(rw,[status(thm)],[527,42,theory(equality)]) ).
cnf(529,negated_conjecture,
( sdtmndt0(X1,xm) = esk1_2(xm,xn)
| xn != X1
| ~ aNaturalNumber0(X1) ),
inference(cn,[status(thm)],[528,theory(equality)]) ).
cnf(578,plain,
( X1 = sdtasdt0(X2,X3)
| X1 != sdtasdt0(X2,sdtasdt0(X3,sz10))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2) ),
inference(csr,[status(thm)],[472,88]) ).
cnf(579,plain,
( sdtasdt0(X1,sdtasdt0(X2,sz10)) = sdtasdt0(X1,X2)
| ~ aNaturalNumber0(sdtasdt0(X1,sdtasdt0(X2,sz10)))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(er,[status(thm)],[578,theory(equality)]) ).
cnf(615,plain,
( sdtasdt0(X1,sz10) = sdtasdt0(sz10,X1)
| ~ aNaturalNumber0(sdtasdt0(X1,sz10))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(sz10) ),
inference(spm,[status(thm)],[579,109,theory(equality)]) ).
cnf(625,plain,
( sdtasdt0(X1,sz10) = sdtasdt0(sz10,X1)
| ~ aNaturalNumber0(sdtasdt0(X1,sz10))
| ~ aNaturalNumber0(X1)
| $false ),
inference(rw,[status(thm)],[615,63,theory(equality)]) ).
cnf(626,plain,
( sdtasdt0(X1,sz10) = sdtasdt0(sz10,X1)
| ~ aNaturalNumber0(sdtasdt0(X1,sz10))
| ~ aNaturalNumber0(X1) ),
inference(cn,[status(thm)],[625,theory(equality)]) ).
cnf(634,plain,
( sz00 = sdtasdt0(sz10,sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sz10) ),
inference(spm,[status(thm)],[626,27,theory(equality)]) ).
cnf(636,plain,
( sz10 = sdtasdt0(sz10,sz10)
| ~ aNaturalNumber0(sz10) ),
inference(spm,[status(thm)],[626,109,theory(equality)]) ).
cnf(639,plain,
( sz00 = sdtasdt0(sz10,sz00)
| $false
| ~ aNaturalNumber0(sz10) ),
inference(rw,[status(thm)],[634,89,theory(equality)]) ).
cnf(640,plain,
( sz00 = sdtasdt0(sz10,sz00)
| $false
| $false ),
inference(rw,[status(thm)],[639,63,theory(equality)]) ).
cnf(641,plain,
sz00 = sdtasdt0(sz10,sz00),
inference(cn,[status(thm)],[640,theory(equality)]) ).
cnf(642,plain,
( sz10 = sdtasdt0(sz10,sz10)
| $false ),
inference(rw,[status(thm)],[636,63,theory(equality)]) ).
cnf(643,plain,
sz10 = sdtasdt0(sz10,sz10),
inference(cn,[status(thm)],[642,theory(equality)]) ).
cnf(654,plain,
( sdtpldt0(sz00,sdtasdt0(sz10,X1)) = sdtasdt0(sz10,sdtpldt0(sz00,X1))
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1) ),
inference(spm,[status(thm)],[47,641,theory(equality)]) ).
cnf(680,plain,
( sdtpldt0(sz00,sdtasdt0(sz10,X1)) = sdtasdt0(sz10,sdtpldt0(sz00,X1))
| $false
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X1) ),
inference(rw,[status(thm)],[654,63,theory(equality)]) ).
cnf(681,plain,
( sdtpldt0(sz00,sdtasdt0(sz10,X1)) = sdtasdt0(sz10,sdtpldt0(sz00,X1))
| $false
| $false
| ~ aNaturalNumber0(X1) ),
inference(rw,[status(thm)],[680,89,theory(equality)]) ).
cnf(682,plain,
( sdtpldt0(sz00,sdtasdt0(sz10,X1)) = sdtasdt0(sz10,sdtpldt0(sz00,X1))
| ~ aNaturalNumber0(X1) ),
inference(cn,[status(thm)],[681,theory(equality)]) ).
cnf(875,negated_conjecture,
( xm = X1
| sdtpldt0(esk1_2(xm,xn),X1) != xn
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(esk1_2(xm,xn)) ),
inference(spm,[status(thm)],[520,31,theory(equality)]) ).
cnf(881,negated_conjecture,
( xm = X1
| sdtpldt0(esk1_2(xm,xn),X1) != xn
| ~ aNaturalNumber0(X1)
| $false ),
inference(rw,[status(thm)],[875,186,theory(equality)]) ).
cnf(882,negated_conjecture,
( xm = X1
| sdtpldt0(esk1_2(xm,xn),X1) != xn
| ~ aNaturalNumber0(X1) ),
inference(cn,[status(thm)],[881,theory(equality)]) ).
cnf(1620,plain,
( sdtlseqdt0(X1,sdtpldt0(X1,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(csr,[status(thm)],[207,92]) ).
cnf(1626,plain,
( sdtlseqdt0(X1,sdtpldt0(X2,X1))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(spm,[status(thm)],[1620,31,theory(equality)]) ).
cnf(1694,negated_conjecture,
( sdtlseqdt0(esk1_2(xm,xn),xn)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(esk1_2(xm,xn)) ),
inference(spm,[status(thm)],[1626,203,theory(equality)]) ).
cnf(1703,plain,
( sdtlseqdt0(X1,sdtpldt0(X2,sdtpldt0(X3,X1)))
| ~ aNaturalNumber0(sdtpldt0(X2,X3))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2) ),
inference(spm,[status(thm)],[1626,61,theory(equality)]) ).
cnf(1708,negated_conjecture,
( sdtlseqdt0(esk1_2(xm,xn),xn)
| $false
| ~ aNaturalNumber0(esk1_2(xm,xn)) ),
inference(rw,[status(thm)],[1694,42,theory(equality)]) ).
cnf(1709,negated_conjecture,
( sdtlseqdt0(esk1_2(xm,xn),xn)
| $false
| $false ),
inference(rw,[status(thm)],[1708,186,theory(equality)]) ).
cnf(1710,negated_conjecture,
sdtlseqdt0(esk1_2(xm,xn),xn),
inference(cn,[status(thm)],[1709,theory(equality)]) ).
cnf(1780,negated_conjecture,
( sdtpldt0(esk1_2(xm,xn),esk1_2(esk1_2(xm,xn),xn)) = xn
| ~ aNaturalNumber0(esk1_2(xm,xn))
| ~ aNaturalNumber0(xn) ),
inference(spm,[status(thm)],[56,1710,theory(equality)]) ).
cnf(1784,negated_conjecture,
( sdtpldt0(esk1_2(xm,xn),esk1_2(esk1_2(xm,xn),xn)) = xn
| $false
| ~ aNaturalNumber0(xn) ),
inference(rw,[status(thm)],[1780,186,theory(equality)]) ).
cnf(1785,negated_conjecture,
( sdtpldt0(esk1_2(xm,xn),esk1_2(esk1_2(xm,xn),xn)) = xn
| $false
| $false ),
inference(rw,[status(thm)],[1784,41,theory(equality)]) ).
cnf(1786,negated_conjecture,
sdtpldt0(esk1_2(xm,xn),esk1_2(esk1_2(xm,xn),xn)) = xn,
inference(cn,[status(thm)],[1785,theory(equality)]) ).
cnf(1795,negated_conjecture,
( aNaturalNumber0(sdtmndt0(xn,xm))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xn) ),
inference(spm,[status(thm)],[218,67,theory(equality)]) ).
cnf(1796,negated_conjecture,
( aNaturalNumber0(sdtmndt0(xm,xn))
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xm) ),
inference(spm,[status(thm)],[218,66,theory(equality)]) ).
cnf(1804,negated_conjecture,
( aNaturalNumber0(sdtmndt0(xn,xm))
| $false
| ~ aNaturalNumber0(xn) ),
inference(rw,[status(thm)],[1795,42,theory(equality)]) ).
cnf(1805,negated_conjecture,
( aNaturalNumber0(sdtmndt0(xn,xm))
| $false
| $false ),
inference(rw,[status(thm)],[1804,41,theory(equality)]) ).
cnf(1806,negated_conjecture,
aNaturalNumber0(sdtmndt0(xn,xm)),
inference(cn,[status(thm)],[1805,theory(equality)]) ).
cnf(1807,negated_conjecture,
( aNaturalNumber0(sdtmndt0(xm,xn))
| $false
| ~ aNaturalNumber0(xm) ),
inference(rw,[status(thm)],[1796,41,theory(equality)]) ).
cnf(1808,negated_conjecture,
( aNaturalNumber0(sdtmndt0(xm,xn))
| $false
| $false ),
inference(rw,[status(thm)],[1807,42,theory(equality)]) ).
cnf(1809,negated_conjecture,
aNaturalNumber0(sdtmndt0(xm,xn)),
inference(cn,[status(thm)],[1808,theory(equality)]) ).
cnf(1845,plain,
( sdtasdt0(sz10,X1) = sdtpldt0(sz00,sdtasdt0(sz10,X1))
| ~ aNaturalNumber0(X1) ),
inference(spm,[status(thm)],[682,104,theory(equality)]) ).
cnf(1910,plain,
( sdtpldt0(sz00,sz10) = sz10
| ~ aNaturalNumber0(sz10) ),
inference(spm,[status(thm)],[1845,643,theory(equality)]) ).
cnf(1941,plain,
( sdtpldt0(sz00,sz10) = sz10
| $false ),
inference(rw,[status(thm)],[1910,63,theory(equality)]) ).
cnf(1942,plain,
sdtpldt0(sz00,sz10) = sz10,
inference(cn,[status(thm)],[1941,theory(equality)]) ).
cnf(1995,plain,
( sdtlseqdt0(sz10,sz10)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sz10) ),
inference(spm,[status(thm)],[1626,1942,theory(equality)]) ).
cnf(2034,plain,
( sdtlseqdt0(sz10,sz10)
| $false
| ~ aNaturalNumber0(sz10) ),
inference(rw,[status(thm)],[1995,89,theory(equality)]) ).
cnf(2035,plain,
( sdtlseqdt0(sz10,sz10)
| $false
| $false ),
inference(rw,[status(thm)],[2034,63,theory(equality)]) ).
cnf(2036,plain,
sdtlseqdt0(sz10,sz10),
inference(cn,[status(thm)],[2035,theory(equality)]) ).
cnf(2056,plain,
( aNaturalNumber0(esk1_2(sz10,sz10))
| ~ aNaturalNumber0(sz10) ),
inference(spm,[status(thm)],[57,2036,theory(equality)]) ).
cnf(2057,plain,
( sdtpldt0(sz10,esk1_2(sz10,sz10)) = sz10
| ~ aNaturalNumber0(sz10) ),
inference(spm,[status(thm)],[56,2036,theory(equality)]) ).
cnf(2059,plain,
( aNaturalNumber0(esk1_2(sz10,sz10))
| $false ),
inference(rw,[status(thm)],[2056,63,theory(equality)]) ).
cnf(2060,plain,
aNaturalNumber0(esk1_2(sz10,sz10)),
inference(cn,[status(thm)],[2059,theory(equality)]) ).
cnf(2061,plain,
( sdtpldt0(sz10,esk1_2(sz10,sz10)) = sz10
| $false ),
inference(rw,[status(thm)],[2057,63,theory(equality)]) ).
cnf(2062,plain,
sdtpldt0(sz10,esk1_2(sz10,sz10)) = sz10,
inference(cn,[status(thm)],[2061,theory(equality)]) ).
cnf(2192,plain,
( sz00 = esk1_2(sz10,sz10)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(esk1_2(sz10,sz10)) ),
inference(spm,[status(thm)],[229,2062,theory(equality)]) ).
cnf(2221,plain,
( sz00 = esk1_2(sz10,sz10)
| $false
| ~ aNaturalNumber0(esk1_2(sz10,sz10)) ),
inference(rw,[status(thm)],[2192,63,theory(equality)]) ).
cnf(2222,plain,
( sz00 = esk1_2(sz10,sz10)
| ~ aNaturalNumber0(esk1_2(sz10,sz10)) ),
inference(cn,[status(thm)],[2221,theory(equality)]) ).
cnf(2487,plain,
esk1_2(sz10,sz10) = sz00,
inference(spm,[status(thm)],[2222,2060,theory(equality)]) ).
cnf(2493,plain,
sdtpldt0(sz10,sz00) = sz10,
inference(rw,[status(thm)],[2062,2487,theory(equality)]) ).
cnf(3173,negated_conjecture,
( sdtmndt0(xn,xm) = esk1_2(xm,xn)
| ~ aNaturalNumber0(xn) ),
inference(er,[status(thm)],[529,theory(equality)]) ).
cnf(3174,negated_conjecture,
( sdtmndt0(xn,xm) = esk1_2(xm,xn)
| $false ),
inference(rw,[status(thm)],[3173,41,theory(equality)]) ).
cnf(3175,negated_conjecture,
sdtmndt0(xn,xm) = esk1_2(xm,xn),
inference(cn,[status(thm)],[3174,theory(equality)]) ).
cnf(3176,negated_conjecture,
sdtpldt0(sdtmndt0(xn,xm),esk1_2(sdtmndt0(xn,xm),xn)) = xn,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[1786,3175,theory(equality)]),3175,theory(equality)]) ).
cnf(3179,negated_conjecture,
sdtlseqdt0(sdtmndt0(xn,xm),xn),
inference(rw,[status(thm)],[1710,3175,theory(equality)]) ).
cnf(3180,negated_conjecture,
sdtpldt0(xm,sdtmndt0(xn,xm)) = xn,
inference(rw,[status(thm)],[203,3175,theory(equality)]) ).
cnf(3184,negated_conjecture,
( xm = X1
| sdtpldt0(sdtmndt0(xn,xm),X1) != xn
| ~ aNaturalNumber0(X1) ),
inference(rw,[status(thm)],[882,3175,theory(equality)]) ).
cnf(3189,negated_conjecture,
( aNaturalNumber0(esk1_2(sdtmndt0(xn,xm),xn))
| ~ aNaturalNumber0(sdtmndt0(xn,xm))
| ~ aNaturalNumber0(xn) ),
inference(spm,[status(thm)],[57,3179,theory(equality)]) ).
cnf(3192,negated_conjecture,
( aNaturalNumber0(esk1_2(sdtmndt0(xn,xm),xn))
| $false
| ~ aNaturalNumber0(xn) ),
inference(rw,[status(thm)],[3189,1806,theory(equality)]) ).
cnf(3193,negated_conjecture,
( aNaturalNumber0(esk1_2(sdtmndt0(xn,xm),xn))
| $false
| $false ),
inference(rw,[status(thm)],[3192,41,theory(equality)]) ).
cnf(3194,negated_conjecture,
aNaturalNumber0(esk1_2(sdtmndt0(xn,xm),xn)),
inference(cn,[status(thm)],[3193,theory(equality)]) ).
cnf(3282,negated_conjecture,
( sdtpldt0(xn,X1) = sdtpldt0(xm,sdtpldt0(sdtmndt0(xn,xm),X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(sdtmndt0(xn,xm))
| ~ aNaturalNumber0(xm) ),
inference(spm,[status(thm)],[61,3180,theory(equality)]) ).
cnf(3315,negated_conjecture,
( sdtpldt0(xn,X1) = sdtpldt0(xm,sdtpldt0(sdtmndt0(xn,xm),X1))
| ~ aNaturalNumber0(X1)
| $false
| ~ aNaturalNumber0(xm) ),
inference(rw,[status(thm)],[3282,1806,theory(equality)]) ).
cnf(3316,negated_conjecture,
( sdtpldt0(xn,X1) = sdtpldt0(xm,sdtpldt0(sdtmndt0(xn,xm),X1))
| ~ aNaturalNumber0(X1)
| $false
| $false ),
inference(rw,[status(thm)],[3315,42,theory(equality)]) ).
cnf(3317,negated_conjecture,
( sdtpldt0(xn,X1) = sdtpldt0(xm,sdtpldt0(sdtmndt0(xn,xm),X1))
| ~ aNaturalNumber0(X1) ),
inference(cn,[status(thm)],[3316,theory(equality)]) ).
cnf(3346,negated_conjecture,
( xm = esk1_2(sdtmndt0(xn,xm),xn)
| ~ aNaturalNumber0(esk1_2(sdtmndt0(xn,xm),xn)) ),
inference(spm,[status(thm)],[3184,3176,theory(equality)]) ).
cnf(3351,negated_conjecture,
( xm = esk1_2(sdtmndt0(xn,xm),xn)
| $false ),
inference(rw,[status(thm)],[3346,3194,theory(equality)]) ).
cnf(3352,negated_conjecture,
xm = esk1_2(sdtmndt0(xn,xm),xn),
inference(cn,[status(thm)],[3351,theory(equality)]) ).
cnf(3413,negated_conjecture,
sdtpldt0(sdtmndt0(xn,xm),xm) = xn,
inference(rw,[status(thm)],[3176,3352,theory(equality)]) ).
cnf(3424,negated_conjecture,
( sdtpldt0(xn,X1) = sdtpldt0(sdtmndt0(xn,xm),sdtpldt0(xm,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtmndt0(xn,xm)) ),
inference(spm,[status(thm)],[61,3413,theory(equality)]) ).
cnf(3466,negated_conjecture,
( sdtpldt0(xn,X1) = sdtpldt0(sdtmndt0(xn,xm),sdtpldt0(xm,X1))
| ~ aNaturalNumber0(X1)
| $false
| ~ aNaturalNumber0(sdtmndt0(xn,xm)) ),
inference(rw,[status(thm)],[3424,42,theory(equality)]) ).
cnf(3467,negated_conjecture,
( sdtpldt0(xn,X1) = sdtpldt0(sdtmndt0(xn,xm),sdtpldt0(xm,X1))
| ~ aNaturalNumber0(X1)
| $false
| $false ),
inference(rw,[status(thm)],[3466,1806,theory(equality)]) ).
cnf(3468,negated_conjecture,
( sdtpldt0(xn,X1) = sdtpldt0(sdtmndt0(xn,xm),sdtpldt0(xm,X1))
| ~ aNaturalNumber0(X1) ),
inference(cn,[status(thm)],[3467,theory(equality)]) ).
cnf(3496,negated_conjecture,
( sdtpldt0(xn,sdtmndt0(xm,xn)) = xm
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xm) ),
inference(spm,[status(thm)],[253,66,theory(equality)]) ).
cnf(3510,negated_conjecture,
( sdtpldt0(xn,sdtmndt0(xm,xn)) = xm
| $false
| ~ aNaturalNumber0(xm) ),
inference(rw,[status(thm)],[3496,41,theory(equality)]) ).
cnf(3511,negated_conjecture,
( sdtpldt0(xn,sdtmndt0(xm,xn)) = xm
| $false
| $false ),
inference(rw,[status(thm)],[3510,42,theory(equality)]) ).
cnf(3512,negated_conjecture,
sdtpldt0(xn,sdtmndt0(xm,xn)) = xm,
inference(cn,[status(thm)],[3511,theory(equality)]) ).
cnf(3545,negated_conjecture,
( sdtpldt0(xm,X1) = sdtpldt0(xn,sdtpldt0(sdtmndt0(xm,xn),X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(sdtmndt0(xm,xn))
| ~ aNaturalNumber0(xn) ),
inference(spm,[status(thm)],[61,3512,theory(equality)]) ).
cnf(3578,negated_conjecture,
( sdtpldt0(xm,X1) = sdtpldt0(xn,sdtpldt0(sdtmndt0(xm,xn),X1))
| ~ aNaturalNumber0(X1)
| $false
| ~ aNaturalNumber0(xn) ),
inference(rw,[status(thm)],[3545,1809,theory(equality)]) ).
cnf(3579,negated_conjecture,
( sdtpldt0(xm,X1) = sdtpldt0(xn,sdtpldt0(sdtmndt0(xm,xn),X1))
| ~ aNaturalNumber0(X1)
| $false
| $false ),
inference(rw,[status(thm)],[3578,41,theory(equality)]) ).
cnf(3580,negated_conjecture,
( sdtpldt0(xm,X1) = sdtpldt0(xn,sdtpldt0(sdtmndt0(xm,xn),X1))
| ~ aNaturalNumber0(X1) ),
inference(cn,[status(thm)],[3579,theory(equality)]) ).
cnf(8719,negated_conjecture,
( sdtpldt0(sz00,xm) = xm
| ~ aNaturalNumber0(esk1_2(xn,xm))
| ~ aNaturalNumber0(xn) ),
inference(spm,[status(thm)],[356,206,theory(equality)]) ).
cnf(8777,negated_conjecture,
( sdtpldt0(sz00,xm) = xm
| $false
| ~ aNaturalNumber0(xn) ),
inference(rw,[status(thm)],[8719,189,theory(equality)]) ).
cnf(8778,negated_conjecture,
( sdtpldt0(sz00,xm) = xm
| $false
| $false ),
inference(rw,[status(thm)],[8777,41,theory(equality)]) ).
cnf(8779,negated_conjecture,
sdtpldt0(sz00,xm) = xm,
inference(cn,[status(thm)],[8778,theory(equality)]) ).
cnf(8901,negated_conjecture,
( sdtlseqdt0(xm,xm)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xm) ),
inference(spm,[status(thm)],[1626,8779,theory(equality)]) ).
cnf(8944,negated_conjecture,
( sdtlseqdt0(xm,xm)
| $false
| ~ aNaturalNumber0(xm) ),
inference(rw,[status(thm)],[8901,89,theory(equality)]) ).
cnf(8945,negated_conjecture,
( sdtlseqdt0(xm,xm)
| $false
| $false ),
inference(rw,[status(thm)],[8944,42,theory(equality)]) ).
cnf(8946,negated_conjecture,
sdtlseqdt0(xm,xm),
inference(cn,[status(thm)],[8945,theory(equality)]) ).
cnf(8963,negated_conjecture,
( aNaturalNumber0(esk1_2(xm,xm))
| ~ aNaturalNumber0(xm) ),
inference(spm,[status(thm)],[57,8946,theory(equality)]) ).
cnf(8964,negated_conjecture,
( sdtpldt0(xm,esk1_2(xm,xm)) = xm
| ~ aNaturalNumber0(xm) ),
inference(spm,[status(thm)],[56,8946,theory(equality)]) ).
cnf(8967,negated_conjecture,
( aNaturalNumber0(esk1_2(xm,xm))
| $false ),
inference(rw,[status(thm)],[8963,42,theory(equality)]) ).
cnf(8968,negated_conjecture,
aNaturalNumber0(esk1_2(xm,xm)),
inference(cn,[status(thm)],[8967,theory(equality)]) ).
cnf(8969,negated_conjecture,
( sdtpldt0(xm,esk1_2(xm,xm)) = xm
| $false ),
inference(rw,[status(thm)],[8964,42,theory(equality)]) ).
cnf(8970,negated_conjecture,
sdtpldt0(xm,esk1_2(xm,xm)) = xm,
inference(cn,[status(thm)],[8969,theory(equality)]) ).
cnf(9161,negated_conjecture,
( sz00 = esk1_2(xm,xm)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(esk1_2(xm,xm)) ),
inference(spm,[status(thm)],[229,8970,theory(equality)]) ).
cnf(9207,negated_conjecture,
( sz00 = esk1_2(xm,xm)
| $false
| ~ aNaturalNumber0(esk1_2(xm,xm)) ),
inference(rw,[status(thm)],[9161,42,theory(equality)]) ).
cnf(9208,negated_conjecture,
( sz00 = esk1_2(xm,xm)
| $false
| $false ),
inference(rw,[status(thm)],[9207,8968,theory(equality)]) ).
cnf(9209,negated_conjecture,
sz00 = esk1_2(xm,xm),
inference(cn,[status(thm)],[9208,theory(equality)]) ).
cnf(9225,negated_conjecture,
sdtpldt0(xm,sz00) = xm,
inference(rw,[status(thm)],[8970,9209,theory(equality)]) ).
cnf(9881,plain,
( sdtpldt0(X1,sdtpldt0(X2,X3)) = sdtpldt0(X3,sdtpldt0(X1,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X3) ),
inference(csr,[status(thm)],[340,92]) ).
cnf(9978,plain,
( sz00 = sdtpldt0(X1,X2)
| sdtpldt0(X2,sdtpldt0(X3,X1)) != X3
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(sdtpldt0(X1,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(spm,[status(thm)],[229,9881,theory(equality)]) ).
cnf(13104,plain,
( sdtmndt0(sdtpldt0(X1,X2),X1) = X2
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(csr,[status(thm)],[358,92]) ).
cnf(15347,plain,
( sdtpldt0(X1,sz00) = sdtasdt0(X1,sdtpldt0(sz10,sz00))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(sz00) ),
inference(spm,[status(thm)],[405,28,theory(equality)]) ).
cnf(15475,plain,
( sdtpldt0(X1,sz00) = sdtasdt0(X1,sz10)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(sz00) ),
inference(rw,[status(thm)],[15347,2493,theory(equality)]) ).
cnf(15476,plain,
( sdtpldt0(X1,sz00) = sdtasdt0(X1,sz10)
| ~ aNaturalNumber0(X1)
| $false ),
inference(rw,[status(thm)],[15475,89,theory(equality)]) ).
cnf(15477,plain,
( sdtpldt0(X1,sz00) = sdtasdt0(X1,sz10)
| ~ aNaturalNumber0(X1) ),
inference(cn,[status(thm)],[15476,theory(equality)]) ).
cnf(15925,negated_conjecture,
( sdtasdt0(sz10,xm) = sdtpldt0(xm,sdtasdt0(sz10,sz00))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sz00) ),
inference(spm,[status(thm)],[409,9225,theory(equality)]) ).
cnf(16034,negated_conjecture,
( sdtasdt0(sz10,xm) = xm
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sz00) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[15925,641,theory(equality)]),9225,theory(equality)]) ).
cnf(16035,negated_conjecture,
( sdtasdt0(sz10,xm) = xm
| $false
| ~ aNaturalNumber0(sz00) ),
inference(rw,[status(thm)],[16034,42,theory(equality)]) ).
cnf(16036,negated_conjecture,
( sdtasdt0(sz10,xm) = xm
| $false
| $false ),
inference(rw,[status(thm)],[16035,89,theory(equality)]) ).
cnf(16037,negated_conjecture,
sdtasdt0(sz10,xm) = xm,
inference(cn,[status(thm)],[16036,theory(equality)]) ).
cnf(16148,negated_conjecture,
( xm = sdtasdt0(xm,sz10)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sz10) ),
inference(spm,[status(thm)],[100,16037,theory(equality)]) ).
cnf(16187,negated_conjecture,
( xm = sdtasdt0(xm,sz10)
| $false
| ~ aNaturalNumber0(sz10) ),
inference(rw,[status(thm)],[16148,42,theory(equality)]) ).
cnf(16188,negated_conjecture,
( xm = sdtasdt0(xm,sz10)
| $false
| $false ),
inference(rw,[status(thm)],[16187,63,theory(equality)]) ).
cnf(16189,negated_conjecture,
xm = sdtasdt0(xm,sz10),
inference(cn,[status(thm)],[16188,theory(equality)]) ).
cnf(23454,negated_conjecture,
( sdtasdt0(xm,sz10) = sdtpldt0(xn,sdtasdt0(sdtmndt0(xm,xn),sz10))
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtmndt0(xm,xn)) ),
inference(spm,[status(thm)],[448,3512,theory(equality)]) ).
cnf(23580,negated_conjecture,
( xm = sdtpldt0(xn,sdtasdt0(sdtmndt0(xm,xn),sz10))
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtmndt0(xm,xn)) ),
inference(rw,[status(thm)],[23454,16189,theory(equality)]) ).
cnf(23581,negated_conjecture,
( xm = sdtpldt0(xn,sdtasdt0(sdtmndt0(xm,xn),sz10))
| $false
| ~ aNaturalNumber0(sdtmndt0(xm,xn)) ),
inference(rw,[status(thm)],[23580,41,theory(equality)]) ).
cnf(23582,negated_conjecture,
( xm = sdtpldt0(xn,sdtasdt0(sdtmndt0(xm,xn),sz10))
| $false
| $false ),
inference(rw,[status(thm)],[23581,1809,theory(equality)]) ).
cnf(23583,negated_conjecture,
xm = sdtpldt0(xn,sdtasdt0(sdtmndt0(xm,xn),sz10)),
inference(cn,[status(thm)],[23582,theory(equality)]) ).
cnf(26155,negated_conjecture,
( sdtpldt0(xn,sdtpldt0(sdtmndt0(xm,xn),sz00)) = xm
| ~ aNaturalNumber0(sdtmndt0(xm,xn)) ),
inference(spm,[status(thm)],[23583,15477,theory(equality)]) ).
cnf(26262,negated_conjecture,
( sdtpldt0(xn,sdtpldt0(sdtmndt0(xm,xn),sz00)) = xm
| $false ),
inference(rw,[status(thm)],[26155,1809,theory(equality)]) ).
cnf(26263,negated_conjecture,
sdtpldt0(xn,sdtpldt0(sdtmndt0(xm,xn),sz00)) = xm,
inference(cn,[status(thm)],[26262,theory(equality)]) ).
cnf(87566,plain,
( sdtlseqdt0(X1,sdtpldt0(X2,sdtpldt0(X3,X1)))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2) ),
inference(csr,[status(thm)],[1703,92]) ).
cnf(87572,negated_conjecture,
( sdtlseqdt0(sdtmndt0(xm,xn),sdtpldt0(X1,xm))
| ~ aNaturalNumber0(sdtmndt0(xm,xn))
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1) ),
inference(spm,[status(thm)],[87566,3512,theory(equality)]) ).
cnf(87722,negated_conjecture,
( sdtlseqdt0(sdtmndt0(xm,xn),sdtpldt0(X1,xm))
| $false
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1) ),
inference(rw,[status(thm)],[87572,1809,theory(equality)]) ).
cnf(87723,negated_conjecture,
( sdtlseqdt0(sdtmndt0(xm,xn),sdtpldt0(X1,xm))
| $false
| $false
| ~ aNaturalNumber0(X1) ),
inference(rw,[status(thm)],[87722,41,theory(equality)]) ).
cnf(87724,negated_conjecture,
( sdtlseqdt0(sdtmndt0(xm,xn),sdtpldt0(X1,xm))
| ~ aNaturalNumber0(X1) ),
inference(cn,[status(thm)],[87723,theory(equality)]) ).
cnf(107873,negated_conjecture,
( sdtlseqdt0(sdtmndt0(xm,xn),xn)
| ~ aNaturalNumber0(sdtmndt0(xn,xm)) ),
inference(spm,[status(thm)],[87724,3413,theory(equality)]) ).
cnf(107891,negated_conjecture,
( sdtlseqdt0(sdtmndt0(xm,xn),xn)
| $false ),
inference(rw,[status(thm)],[107873,1806,theory(equality)]) ).
cnf(107892,negated_conjecture,
sdtlseqdt0(sdtmndt0(xm,xn),xn),
inference(cn,[status(thm)],[107891,theory(equality)]) ).
cnf(107925,negated_conjecture,
( aNaturalNumber0(sdtmndt0(xn,sdtmndt0(xm,xn)))
| ~ aNaturalNumber0(sdtmndt0(xm,xn))
| ~ aNaturalNumber0(xn) ),
inference(spm,[status(thm)],[218,107892,theory(equality)]) ).
cnf(107926,negated_conjecture,
( sdtpldt0(sdtmndt0(xm,xn),sdtmndt0(xn,sdtmndt0(xm,xn))) = xn
| ~ aNaturalNumber0(sdtmndt0(xm,xn))
| ~ aNaturalNumber0(xn) ),
inference(spm,[status(thm)],[253,107892,theory(equality)]) ).
cnf(107933,negated_conjecture,
( aNaturalNumber0(sdtmndt0(xn,sdtmndt0(xm,xn)))
| $false
| ~ aNaturalNumber0(xn) ),
inference(rw,[status(thm)],[107925,1809,theory(equality)]) ).
cnf(107934,negated_conjecture,
( aNaturalNumber0(sdtmndt0(xn,sdtmndt0(xm,xn)))
| $false
| $false ),
inference(rw,[status(thm)],[107933,41,theory(equality)]) ).
cnf(107935,negated_conjecture,
aNaturalNumber0(sdtmndt0(xn,sdtmndt0(xm,xn))),
inference(cn,[status(thm)],[107934,theory(equality)]) ).
cnf(107936,negated_conjecture,
( sdtpldt0(sdtmndt0(xm,xn),sdtmndt0(xn,sdtmndt0(xm,xn))) = xn
| $false
| ~ aNaturalNumber0(xn) ),
inference(rw,[status(thm)],[107926,1809,theory(equality)]) ).
cnf(107937,negated_conjecture,
( sdtpldt0(sdtmndt0(xm,xn),sdtmndt0(xn,sdtmndt0(xm,xn))) = xn
| $false
| $false ),
inference(rw,[status(thm)],[107936,41,theory(equality)]) ).
cnf(107938,negated_conjecture,
sdtpldt0(sdtmndt0(xm,xn),sdtmndt0(xn,sdtmndt0(xm,xn))) = xn,
inference(cn,[status(thm)],[107937,theory(equality)]) ).
cnf(138111,negated_conjecture,
( sdtpldt0(sdtmndt0(xn,xm),xn) = sdtpldt0(xn,sdtmndt0(xn,xm))
| ~ aNaturalNumber0(sdtmndt0(xn,xm)) ),
inference(spm,[status(thm)],[3468,3180,theory(equality)]) ).
cnf(138257,negated_conjecture,
( sdtpldt0(sdtmndt0(xn,xm),xn) = sdtpldt0(xn,sdtmndt0(xn,xm))
| $false ),
inference(rw,[status(thm)],[138111,1806,theory(equality)]) ).
cnf(138258,negated_conjecture,
sdtpldt0(sdtmndt0(xn,xm),xn) = sdtpldt0(xn,sdtmndt0(xn,xm)),
inference(cn,[status(thm)],[138257,theory(equality)]) ).
cnf(141713,negated_conjecture,
( sdtpldt0(xn,xn) = sdtpldt0(xm,sdtmndt0(xn,sdtmndt0(xm,xn)))
| ~ aNaturalNumber0(sdtmndt0(xn,sdtmndt0(xm,xn))) ),
inference(spm,[status(thm)],[3580,107938,theory(equality)]) ).
cnf(141868,negated_conjecture,
( sdtpldt0(xn,xn) = sdtpldt0(xm,sdtmndt0(xn,sdtmndt0(xm,xn)))
| $false ),
inference(rw,[status(thm)],[141713,107935,theory(equality)]) ).
cnf(141869,negated_conjecture,
sdtpldt0(xn,xn) = sdtpldt0(xm,sdtmndt0(xn,sdtmndt0(xm,xn))),
inference(cn,[status(thm)],[141868,theory(equality)]) ).
cnf(149751,negated_conjecture,
( aNaturalNumber0(sdtpldt0(xn,sdtmndt0(xn,xm)))
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtmndt0(xn,xm)) ),
inference(spm,[status(thm)],[92,138258,theory(equality)]) ).
cnf(149853,negated_conjecture,
( sdtpldt0(xm,sdtpldt0(xn,sdtmndt0(xn,xm))) = sdtpldt0(xn,xn)
| ~ aNaturalNumber0(xn) ),
inference(spm,[status(thm)],[3317,138258,theory(equality)]) ).
cnf(149860,negated_conjecture,
( aNaturalNumber0(sdtpldt0(xn,sdtmndt0(xn,xm)))
| $false
| ~ aNaturalNumber0(sdtmndt0(xn,xm)) ),
inference(rw,[status(thm)],[149751,41,theory(equality)]) ).
cnf(149861,negated_conjecture,
( aNaturalNumber0(sdtpldt0(xn,sdtmndt0(xn,xm)))
| $false
| $false ),
inference(rw,[status(thm)],[149860,1806,theory(equality)]) ).
cnf(149862,negated_conjecture,
aNaturalNumber0(sdtpldt0(xn,sdtmndt0(xn,xm))),
inference(cn,[status(thm)],[149861,theory(equality)]) ).
cnf(150159,negated_conjecture,
( sdtpldt0(xm,sdtpldt0(xn,sdtmndt0(xn,xm))) = sdtpldt0(xn,xn)
| $false ),
inference(rw,[status(thm)],[149853,41,theory(equality)]) ).
cnf(150160,negated_conjecture,
sdtpldt0(xm,sdtpldt0(xn,sdtmndt0(xn,xm))) = sdtpldt0(xn,xn),
inference(cn,[status(thm)],[150159,theory(equality)]) ).
cnf(168579,negated_conjecture,
( sdtmndt0(sdtpldt0(xn,xn),xm) = sdtmndt0(xn,sdtmndt0(xm,xn))
| ~ aNaturalNumber0(sdtmndt0(xn,sdtmndt0(xm,xn)))
| ~ aNaturalNumber0(xm) ),
inference(spm,[status(thm)],[13104,141869,theory(equality)]) ).
cnf(168746,negated_conjecture,
( sdtmndt0(sdtpldt0(xn,xn),xm) = sdtmndt0(xn,sdtmndt0(xm,xn))
| $false
| ~ aNaturalNumber0(xm) ),
inference(rw,[status(thm)],[168579,107935,theory(equality)]) ).
cnf(168747,negated_conjecture,
( sdtmndt0(sdtpldt0(xn,xn),xm) = sdtmndt0(xn,sdtmndt0(xm,xn))
| $false
| $false ),
inference(rw,[status(thm)],[168746,42,theory(equality)]) ).
cnf(168748,negated_conjecture,
sdtmndt0(sdtpldt0(xn,xn),xm) = sdtmndt0(xn,sdtmndt0(xm,xn)),
inference(cn,[status(thm)],[168747,theory(equality)]) ).
cnf(173207,negated_conjecture,
sdtpldt0(sdtmndt0(xm,xn),sdtmndt0(sdtpldt0(xn,xn),xm)) = xn,
inference(rw,[status(thm)],[107938,168748,theory(equality)]) ).
cnf(176351,negated_conjecture,
( sdtmndt0(sdtpldt0(xn,xn),xm) = sdtpldt0(xn,sdtmndt0(xn,xm))
| ~ aNaturalNumber0(sdtpldt0(xn,sdtmndt0(xn,xm)))
| ~ aNaturalNumber0(xm) ),
inference(spm,[status(thm)],[13104,150160,theory(equality)]) ).
cnf(176559,negated_conjecture,
( sdtmndt0(sdtpldt0(xn,xn),xm) = sdtpldt0(xn,sdtmndt0(xn,xm))
| $false
| ~ aNaturalNumber0(xm) ),
inference(rw,[status(thm)],[176351,149862,theory(equality)]) ).
cnf(176560,negated_conjecture,
( sdtmndt0(sdtpldt0(xn,xn),xm) = sdtpldt0(xn,sdtmndt0(xn,xm))
| $false
| $false ),
inference(rw,[status(thm)],[176559,42,theory(equality)]) ).
cnf(176561,negated_conjecture,
sdtmndt0(sdtpldt0(xn,xn),xm) = sdtpldt0(xn,sdtmndt0(xn,xm)),
inference(cn,[status(thm)],[176560,theory(equality)]) ).
cnf(185489,negated_conjecture,
sdtpldt0(sdtmndt0(xm,xn),sdtpldt0(xn,sdtmndt0(xn,xm))) = xn,
inference(rw,[status(thm)],[173207,176561,theory(equality)]) ).
cnf(186158,negated_conjecture,
( sdtpldt0(xn,sdtpldt0(sdtmndt0(xn,xm),sdtmndt0(xm,xn))) = xn
| ~ aNaturalNumber0(sdtmndt0(xm,xn))
| ~ aNaturalNumber0(sdtmndt0(xn,xm))
| ~ aNaturalNumber0(xn) ),
inference(spm,[status(thm)],[9881,185489,theory(equality)]) ).
cnf(186335,negated_conjecture,
( sdtpldt0(xn,sdtpldt0(sdtmndt0(xn,xm),sdtmndt0(xm,xn))) = xn
| $false
| ~ aNaturalNumber0(sdtmndt0(xn,xm))
| ~ aNaturalNumber0(xn) ),
inference(rw,[status(thm)],[186158,1809,theory(equality)]) ).
cnf(186336,negated_conjecture,
( sdtpldt0(xn,sdtpldt0(sdtmndt0(xn,xm),sdtmndt0(xm,xn))) = xn
| $false
| $false
| ~ aNaturalNumber0(xn) ),
inference(rw,[status(thm)],[186335,1806,theory(equality)]) ).
cnf(186337,negated_conjecture,
( sdtpldt0(xn,sdtpldt0(sdtmndt0(xn,xm),sdtmndt0(xm,xn))) = xn
| $false
| $false
| $false ),
inference(rw,[status(thm)],[186336,41,theory(equality)]) ).
cnf(186338,negated_conjecture,
sdtpldt0(xn,sdtpldt0(sdtmndt0(xn,xm),sdtmndt0(xm,xn))) = xn,
inference(cn,[status(thm)],[186337,theory(equality)]) ).
cnf(552432,negated_conjecture,
( sdtpldt0(xn,sdtpldt0(sdtmndt0(xm,xn),sdtmndt0(xn,xm))) = xn
| ~ aNaturalNumber0(sdtmndt0(xm,xn))
| ~ aNaturalNumber0(sdtmndt0(xn,xm)) ),
inference(spm,[status(thm)],[186338,31,theory(equality)]) ).
cnf(552569,negated_conjecture,
( sdtpldt0(xn,sdtpldt0(sdtmndt0(xm,xn),sdtmndt0(xn,xm))) = xn
| $false
| ~ aNaturalNumber0(sdtmndt0(xn,xm)) ),
inference(rw,[status(thm)],[552432,1809,theory(equality)]) ).
cnf(552570,negated_conjecture,
( sdtpldt0(xn,sdtpldt0(sdtmndt0(xm,xn),sdtmndt0(xn,xm))) = xn
| $false
| $false ),
inference(rw,[status(thm)],[552569,1806,theory(equality)]) ).
cnf(552571,negated_conjecture,
sdtpldt0(xn,sdtpldt0(sdtmndt0(xm,xn),sdtmndt0(xn,xm))) = xn,
inference(cn,[status(thm)],[552570,theory(equality)]) ).
cnf(1326366,plain,
( sdtpldt0(X1,X2) = sz00
| sdtpldt0(X2,sdtpldt0(X3,X1)) != X3
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X3) ),
inference(csr,[status(thm)],[9978,92]) ).
cnf(1326469,negated_conjecture,
( sdtpldt0(sdtmndt0(xn,xm),sdtmndt0(xm,xn)) = sz00
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtmndt0(xm,xn))
| ~ aNaturalNumber0(sdtmndt0(xn,xm)) ),
inference(spm,[status(thm)],[1326366,185489,theory(equality)]) ).
cnf(1327189,negated_conjecture,
( sdtpldt0(sdtmndt0(xn,xm),sdtmndt0(xm,xn)) = sz00
| $false
| ~ aNaturalNumber0(sdtmndt0(xm,xn))
| ~ aNaturalNumber0(sdtmndt0(xn,xm)) ),
inference(rw,[status(thm)],[1326469,41,theory(equality)]) ).
cnf(1327190,negated_conjecture,
( sdtpldt0(sdtmndt0(xn,xm),sdtmndt0(xm,xn)) = sz00
| $false
| $false
| ~ aNaturalNumber0(sdtmndt0(xn,xm)) ),
inference(rw,[status(thm)],[1327189,1809,theory(equality)]) ).
cnf(1327191,negated_conjecture,
( sdtpldt0(sdtmndt0(xn,xm),sdtmndt0(xm,xn)) = sz00
| $false
| $false
| $false ),
inference(rw,[status(thm)],[1327190,1806,theory(equality)]) ).
cnf(1327192,negated_conjecture,
sdtpldt0(sdtmndt0(xn,xm),sdtmndt0(xm,xn)) = sz00,
inference(cn,[status(thm)],[1327191,theory(equality)]) ).
cnf(1329952,negated_conjecture,
( sz00 = sdtmndt0(xn,xm)
| ~ aNaturalNumber0(sdtmndt0(xn,xm))
| ~ aNaturalNumber0(sdtmndt0(xm,xn)) ),
inference(spm,[status(thm)],[75,1327192,theory(equality)]) ).
cnf(1330146,negated_conjecture,
( sz00 = sdtmndt0(xn,xm)
| $false
| ~ aNaturalNumber0(sdtmndt0(xm,xn)) ),
inference(rw,[status(thm)],[1329952,1806,theory(equality)]) ).
cnf(1330147,negated_conjecture,
( sz00 = sdtmndt0(xn,xm)
| $false
| $false ),
inference(rw,[status(thm)],[1330146,1809,theory(equality)]) ).
cnf(1330148,negated_conjecture,
sz00 = sdtmndt0(xn,xm),
inference(cn,[status(thm)],[1330147,theory(equality)]) ).
cnf(1330805,negated_conjecture,
sdtpldt0(xn,sdtpldt0(sdtmndt0(xm,xn),sz00)) = xn,
inference(rw,[status(thm)],[552571,1330148,theory(equality)]) ).
cnf(1330806,negated_conjecture,
xm = xn,
inference(rw,[status(thm)],[1330805,26263,theory(equality)]) ).
cnf(1330807,negated_conjecture,
$false,
inference(sr,[status(thm)],[1330806,65,theory(equality)]) ).
cnf(1330808,negated_conjecture,
$false,
1330807,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.01/0.03 % Problem : NUM459+1 : TPTP v7.0.0. Released v4.0.0.
% 0.01/0.03 % Command : Source/sine.py -e eprover -t %d %s
% 0.03/0.23 % Computer : n073.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 04:32:29 CST 2018
% 0.03/0.23 % CPUTime :
% 0.07/0.27 % SZS status Started for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.07/0.27 --creating new selector for []
% 23.17/24.43 -running prover on /export/starexec/sandbox/tmp/tmpyAR6Vf/sel_theBenchmark.p_1 with time limit 29
% 23.17/24.43 -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/tmpyAR6Vf/sel_theBenchmark.p_1']
% 23.17/24.43 -prover status Theorem
% 23.17/24.43 Problem theBenchmark.p solved in phase 0.
% 23.17/24.43 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 23.17/24.43 % SZS status Ended for /export/starexec/sandbox/benchmark/theBenchmark.p
% 23.17/24.43 Solved 1 out of 1.
% 23.17/24.43 # Problem is unsatisfiable (or provable), constructing proof object
% 23.17/24.43 # SZS status Theorem
% 23.17/24.43 # SZS output start CNFRefutation.
% See solution above
% 23.17/24.44 # SZS output end CNFRefutation
%------------------------------------------------------------------------------