%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : NUM461+2 : TPTP v7.0.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : n075.star.cs.uiowa.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2609 0 2.40GHz
% Memory : 32218.625MB
% OS : Linux 3.10.0-693.2.2.el7.x86_64
% CPULimit : 300s
% DateTime : Mon Jan 8 15:21:25 EST 2018
% Result : Theorem 75.09s
% Output : CNFRefutation 75.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 27
% Number of leaves : 12
% Syntax : Number of formulae : 108 ( 17 unt; 0 def)
% Number of atoms : 482 ( 83 equ)
% Maximal formula atoms : 20 ( 4 avg)
% Number of connectives : 649 ( 275 ~; 299 |; 64 &)
% ( 2 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 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; 5 con; 0-2 aty)
% Number of variables : 151 ( 0 sgn 77 !; 9 ?)
% Comments :
%------------------------------------------------------------------------------
fof(2,axiom,
! [X1,X2] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> equal(sdtpldt0(X1,X2),sdtpldt0(X2,X1)) ),
file('/export/starexec/sandbox/tmp/tmpucInJo/sel_theBenchmark.p_2',mAddComm) ).
fof(9,axiom,
aNaturalNumber0(xm),
file('/export/starexec/sandbox/tmp/tmpucInJo/sel_theBenchmark.p_2',m__873) ).
fof(10,axiom,
! [X1,X2] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> ( sdtlseqdt0(X1,X2)
<=> ? [X3] :
( aNaturalNumber0(X3)
& equal(sdtpldt0(X1,X3),X2) ) ) ),
file('/export/starexec/sandbox/tmp/tmpucInJo/sel_theBenchmark.p_2',mDefLE) ).
fof(11,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/tmpucInJo/sel_theBenchmark.p_2',mAddAsso) ).
fof(14,conjecture,
( ~ equal(sdtpldt0(xm,xl),sdtpldt0(xm,xn))
& ( ? [X1] :
( aNaturalNumber0(X1)
& equal(sdtpldt0(sdtpldt0(xm,xl),X1),sdtpldt0(xm,xn)) )
| sdtlseqdt0(sdtpldt0(xm,xl),sdtpldt0(xm,xn)) )
& ~ equal(sdtpldt0(xl,xm),sdtpldt0(xn,xm))
& ( ? [X1] :
( aNaturalNumber0(X1)
& equal(sdtpldt0(sdtpldt0(xl,xm),X1),sdtpldt0(xn,xm)) )
| sdtlseqdt0(sdtpldt0(xl,xm),sdtpldt0(xn,xm)) ) ),
file('/export/starexec/sandbox/tmp/tmpucInJo/sel_theBenchmark.p_2',m__) ).
fof(18,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/tmpucInJo/sel_theBenchmark.p_2',mDefDiff) ).
fof(20,axiom,
aNaturalNumber0(sz00),
file('/export/starexec/sandbox/tmp/tmpucInJo/sel_theBenchmark.p_2',mSortsC) ).
fof(21,axiom,
! [X1,X2] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> aNaturalNumber0(sdtpldt0(X1,X2)) ),
file('/export/starexec/sandbox/tmp/tmpucInJo/sel_theBenchmark.p_2',mSortsB) ).
fof(22,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/tmpucInJo/sel_theBenchmark.p_2',mAddCanc) ).
fof(24,axiom,
! [X1] :
( aNaturalNumber0(X1)
=> ( equal(sdtpldt0(X1,sz00),X1)
& equal(X1,sdtpldt0(sz00,X1)) ) ),
file('/export/starexec/sandbox/tmp/tmpucInJo/sel_theBenchmark.p_2',m_AddZero) ).
fof(26,axiom,
( ~ equal(xl,xn)
& ? [X1] :
( aNaturalNumber0(X1)
& equal(sdtpldt0(xl,X1),xn) )
& sdtlseqdt0(xl,xn) ),
file('/export/starexec/sandbox/tmp/tmpucInJo/sel_theBenchmark.p_2',m__840_03) ).
fof(27,axiom,
( aNaturalNumber0(xl)
& aNaturalNumber0(xn) ),
file('/export/starexec/sandbox/tmp/tmpucInJo/sel_theBenchmark.p_2',m__840) ).
fof(28,negated_conjecture,
~ ( ~ equal(sdtpldt0(xm,xl),sdtpldt0(xm,xn))
& ( ? [X1] :
( aNaturalNumber0(X1)
& equal(sdtpldt0(sdtpldt0(xm,xl),X1),sdtpldt0(xm,xn)) )
| sdtlseqdt0(sdtpldt0(xm,xl),sdtpldt0(xm,xn)) )
& ~ equal(sdtpldt0(xl,xm),sdtpldt0(xn,xm))
& ( ? [X1] :
( aNaturalNumber0(X1)
& equal(sdtpldt0(sdtpldt0(xl,xm),X1),sdtpldt0(xn,xm)) )
| sdtlseqdt0(sdtpldt0(xl,xm),sdtpldt0(xn,xm)) ) ),
inference(assume_negation,[status(cth)],[14]) ).
fof(34,plain,
! [X1,X2] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| equal(sdtpldt0(X1,X2),sdtpldt0(X2,X1)) ),
inference(fof_nnf,[status(thm)],[2]) ).
fof(35,plain,
! [X3,X4] :
( ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X4)
| equal(sdtpldt0(X3,X4),sdtpldt0(X4,X3)) ),
inference(variable_rename,[status(thm)],[34]) ).
cnf(36,plain,
( sdtpldt0(X1,X2) = sdtpldt0(X2,X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[35]) ).
cnf(62,plain,
aNaturalNumber0(xm),
inference(split_conjunct,[status(thm)],[9]) ).
fof(63,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)],[10]) ).
fof(64,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)],[63]) ).
fof(65,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)],[64]) ).
fof(66,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)],[65]) ).
fof(67,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)],[66]) ).
cnf(70,plain,
( sdtlseqdt0(X2,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| sdtpldt0(X2,X3) != X1
| ~ aNaturalNumber0(X3) ),
inference(split_conjunct,[status(thm)],[67]) ).
fof(71,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)],[11]) ).
fof(72,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)],[71]) ).
cnf(73,plain,
( sdtpldt0(sdtpldt0(X1,X2),X3) = sdtpldt0(X1,sdtpldt0(X2,X3))
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[72]) ).
fof(79,negated_conjecture,
( equal(sdtpldt0(xm,xl),sdtpldt0(xm,xn))
| ( ! [X1] :
( ~ aNaturalNumber0(X1)
| ~ equal(sdtpldt0(sdtpldt0(xm,xl),X1),sdtpldt0(xm,xn)) )
& ~ sdtlseqdt0(sdtpldt0(xm,xl),sdtpldt0(xm,xn)) )
| equal(sdtpldt0(xl,xm),sdtpldt0(xn,xm))
| ( ! [X1] :
( ~ aNaturalNumber0(X1)
| ~ equal(sdtpldt0(sdtpldt0(xl,xm),X1),sdtpldt0(xn,xm)) )
& ~ sdtlseqdt0(sdtpldt0(xl,xm),sdtpldt0(xn,xm)) ) ),
inference(fof_nnf,[status(thm)],[28]) ).
fof(80,negated_conjecture,
( equal(sdtpldt0(xm,xl),sdtpldt0(xm,xn))
| ( ! [X2] :
( ~ aNaturalNumber0(X2)
| ~ equal(sdtpldt0(sdtpldt0(xm,xl),X2),sdtpldt0(xm,xn)) )
& ~ sdtlseqdt0(sdtpldt0(xm,xl),sdtpldt0(xm,xn)) )
| equal(sdtpldt0(xl,xm),sdtpldt0(xn,xm))
| ( ! [X3] :
( ~ aNaturalNumber0(X3)
| ~ equal(sdtpldt0(sdtpldt0(xl,xm),X3),sdtpldt0(xn,xm)) )
& ~ sdtlseqdt0(sdtpldt0(xl,xm),sdtpldt0(xn,xm)) ) ),
inference(variable_rename,[status(thm)],[79]) ).
fof(81,negated_conjecture,
! [X2,X3] :
( ( ( ~ aNaturalNumber0(X3)
| ~ equal(sdtpldt0(sdtpldt0(xl,xm),X3),sdtpldt0(xn,xm)) )
& ~ sdtlseqdt0(sdtpldt0(xl,xm),sdtpldt0(xn,xm)) )
| ( ( ~ aNaturalNumber0(X2)
| ~ equal(sdtpldt0(sdtpldt0(xm,xl),X2),sdtpldt0(xm,xn)) )
& ~ sdtlseqdt0(sdtpldt0(xm,xl),sdtpldt0(xm,xn)) )
| equal(sdtpldt0(xm,xl),sdtpldt0(xm,xn))
| equal(sdtpldt0(xl,xm),sdtpldt0(xn,xm)) ),
inference(shift_quantors,[status(thm)],[80]) ).
fof(82,negated_conjecture,
! [X2,X3] :
( ( ~ aNaturalNumber0(X2)
| ~ equal(sdtpldt0(sdtpldt0(xm,xl),X2),sdtpldt0(xm,xn))
| equal(sdtpldt0(xm,xl),sdtpldt0(xm,xn))
| equal(sdtpldt0(xl,xm),sdtpldt0(xn,xm))
| ~ aNaturalNumber0(X3)
| ~ equal(sdtpldt0(sdtpldt0(xl,xm),X3),sdtpldt0(xn,xm)) )
& ( ~ sdtlseqdt0(sdtpldt0(xm,xl),sdtpldt0(xm,xn))
| equal(sdtpldt0(xm,xl),sdtpldt0(xm,xn))
| equal(sdtpldt0(xl,xm),sdtpldt0(xn,xm))
| ~ aNaturalNumber0(X3)
| ~ equal(sdtpldt0(sdtpldt0(xl,xm),X3),sdtpldt0(xn,xm)) )
& ( ~ aNaturalNumber0(X2)
| ~ equal(sdtpldt0(sdtpldt0(xm,xl),X2),sdtpldt0(xm,xn))
| equal(sdtpldt0(xm,xl),sdtpldt0(xm,xn))
| equal(sdtpldt0(xl,xm),sdtpldt0(xn,xm))
| ~ sdtlseqdt0(sdtpldt0(xl,xm),sdtpldt0(xn,xm)) )
& ( ~ sdtlseqdt0(sdtpldt0(xm,xl),sdtpldt0(xm,xn))
| equal(sdtpldt0(xm,xl),sdtpldt0(xm,xn))
| equal(sdtpldt0(xl,xm),sdtpldt0(xn,xm))
| ~ sdtlseqdt0(sdtpldt0(xl,xm),sdtpldt0(xn,xm)) ) ),
inference(distribute,[status(thm)],[81]) ).
cnf(83,negated_conjecture,
( sdtpldt0(xl,xm) = sdtpldt0(xn,xm)
| sdtpldt0(xm,xl) = sdtpldt0(xm,xn)
| ~ sdtlseqdt0(sdtpldt0(xl,xm),sdtpldt0(xn,xm))
| ~ sdtlseqdt0(sdtpldt0(xm,xl),sdtpldt0(xm,xn)) ),
inference(split_conjunct,[status(thm)],[82]) ).
fof(98,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)],[18]) ).
fof(99,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)],[98]) ).
fof(100,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)],[99]) ).
fof(101,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)],[100]) ).
cnf(102,plain,
( X3 = sdtmndt0(X1,X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ sdtlseqdt0(X2,X1)
| sdtpldt0(X2,X3) != X1
| ~ aNaturalNumber0(X3) ),
inference(split_conjunct,[status(thm)],[101]) ).
cnf(103,plain,
( sdtpldt0(X2,X3) = X1
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ sdtlseqdt0(X2,X1)
| X3 != sdtmndt0(X1,X2) ),
inference(split_conjunct,[status(thm)],[101]) ).
cnf(108,plain,
aNaturalNumber0(sz00),
inference(split_conjunct,[status(thm)],[20]) ).
fof(109,plain,
! [X1,X2] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| aNaturalNumber0(sdtpldt0(X1,X2)) ),
inference(fof_nnf,[status(thm)],[21]) ).
fof(110,plain,
! [X3,X4] :
( ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X4)
| aNaturalNumber0(sdtpldt0(X3,X4)) ),
inference(variable_rename,[status(thm)],[109]) ).
cnf(111,plain,
( aNaturalNumber0(sdtpldt0(X1,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[110]) ).
fof(112,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)],[22]) ).
fof(113,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)],[112]) ).
fof(114,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)],[113]) ).
cnf(116,plain,
( X2 = X1
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| sdtpldt0(X3,X2) != sdtpldt0(X3,X1) ),
inference(split_conjunct,[status(thm)],[114]) ).
fof(120,plain,
! [X1] :
( ~ aNaturalNumber0(X1)
| ( equal(sdtpldt0(X1,sz00),X1)
& equal(X1,sdtpldt0(sz00,X1)) ) ),
inference(fof_nnf,[status(thm)],[24]) ).
fof(121,plain,
! [X2] :
( ~ aNaturalNumber0(X2)
| ( equal(sdtpldt0(X2,sz00),X2)
& equal(X2,sdtpldt0(sz00,X2)) ) ),
inference(variable_rename,[status(thm)],[120]) ).
fof(122,plain,
! [X2] :
( ( equal(sdtpldt0(X2,sz00),X2)
| ~ aNaturalNumber0(X2) )
& ( equal(X2,sdtpldt0(sz00,X2))
| ~ aNaturalNumber0(X2) ) ),
inference(distribute,[status(thm)],[121]) ).
cnf(124,plain,
( sdtpldt0(X1,sz00) = X1
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[122]) ).
fof(130,plain,
( ~ equal(xl,xn)
& ? [X2] :
( aNaturalNumber0(X2)
& equal(sdtpldt0(xl,X2),xn) )
& sdtlseqdt0(xl,xn) ),
inference(variable_rename,[status(thm)],[26]) ).
fof(131,plain,
( ~ equal(xl,xn)
& aNaturalNumber0(esk2_0)
& equal(sdtpldt0(xl,esk2_0),xn)
& sdtlseqdt0(xl,xn) ),
inference(skolemize,[status(esa)],[130]) ).
cnf(132,plain,
sdtlseqdt0(xl,xn),
inference(split_conjunct,[status(thm)],[131]) ).
cnf(133,plain,
sdtpldt0(xl,esk2_0) = xn,
inference(split_conjunct,[status(thm)],[131]) ).
cnf(134,plain,
aNaturalNumber0(esk2_0),
inference(split_conjunct,[status(thm)],[131]) ).
cnf(135,plain,
xl != xn,
inference(split_conjunct,[status(thm)],[131]) ).
cnf(136,plain,
aNaturalNumber0(xn),
inference(split_conjunct,[status(thm)],[27]) ).
cnf(137,plain,
aNaturalNumber0(xl),
inference(split_conjunct,[status(thm)],[27]) ).
cnf(268,plain,
( sz00 = X1
| X2 != sdtpldt0(X2,X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(sz00) ),
inference(spm,[status(thm)],[116,124,theory(equality)]) ).
cnf(282,plain,
( sz00 = X1
| X2 != sdtpldt0(X2,X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| $false ),
inference(rw,[status(thm)],[268,108,theory(equality)]) ).
cnf(283,plain,
( sz00 = X1
| X2 != sdtpldt0(X2,X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(cn,[status(thm)],[282,theory(equality)]) ).
cnf(364,plain,
( sdtlseqdt0(sdtpldt0(X1,X2),X3)
| sdtpldt0(X1,sdtpldt0(X2,X4)) != X3
| ~ aNaturalNumber0(X4)
| ~ aNaturalNumber0(sdtpldt0(X1,X2))
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(spm,[status(thm)],[70,73,theory(equality)]) ).
cnf(382,plain,
( sdtmndt0(X1,X2) = X3
| sdtpldt0(X2,X3) != X1
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(csr,[status(thm)],[102,70]) ).
cnf(383,plain,
( sdtmndt0(sdtpldt0(X1,X2),X1) = X2
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(sdtpldt0(X1,X2)) ),
inference(er,[status(thm)],[382,theory(equality)]) ).
cnf(456,negated_conjecture,
( sdtpldt0(xn,xm) = sdtpldt0(xm,xl)
| sdtpldt0(xm,xn) = sdtpldt0(xm,xl)
| ~ sdtlseqdt0(sdtpldt0(xm,xl),sdtpldt0(xm,xn))
| ~ sdtlseqdt0(sdtpldt0(xm,xl),sdtpldt0(xn,xm))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xl) ),
inference(spm,[status(thm)],[83,36,theory(equality)]) ).
cnf(460,negated_conjecture,
( sdtpldt0(xn,xm) = sdtpldt0(xm,xl)
| sdtpldt0(xm,xn) = sdtpldt0(xm,xl)
| ~ sdtlseqdt0(sdtpldt0(xm,xl),sdtpldt0(xm,xn))
| ~ sdtlseqdt0(sdtpldt0(xm,xl),sdtpldt0(xn,xm))
| $false
| ~ aNaturalNumber0(xl) ),
inference(rw,[status(thm)],[456,62,theory(equality)]) ).
cnf(461,negated_conjecture,
( sdtpldt0(xn,xm) = sdtpldt0(xm,xl)
| sdtpldt0(xm,xn) = sdtpldt0(xm,xl)
| ~ sdtlseqdt0(sdtpldt0(xm,xl),sdtpldt0(xm,xn))
| ~ sdtlseqdt0(sdtpldt0(xm,xl),sdtpldt0(xn,xm))
| $false
| $false ),
inference(rw,[status(thm)],[460,137,theory(equality)]) ).
cnf(462,negated_conjecture,
( sdtpldt0(xn,xm) = sdtpldt0(xm,xl)
| sdtpldt0(xm,xn) = sdtpldt0(xm,xl)
| ~ sdtlseqdt0(sdtpldt0(xm,xl),sdtpldt0(xm,xn))
| ~ sdtlseqdt0(sdtpldt0(xm,xl),sdtpldt0(xn,xm)) ),
inference(cn,[status(thm)],[461,theory(equality)]) ).
cnf(2134,plain,
( sz00 = X1
| sdtpldt0(X2,sdtpldt0(X3,X1)) != sdtpldt0(X2,X3)
| ~ aNaturalNumber0(sdtpldt0(X2,X3))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2) ),
inference(spm,[status(thm)],[283,73,theory(equality)]) ).
cnf(5971,plain,
( sdtlseqdt0(sdtpldt0(X1,X2),X3)
| sdtpldt0(X1,sdtpldt0(X2,X4)) != X3
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X4) ),
inference(csr,[status(thm)],[364,111]) ).
cnf(5973,plain,
( sdtlseqdt0(sdtpldt0(X1,xl),X2)
| sdtpldt0(X1,xn) != X2
| ~ aNaturalNumber0(esk2_0)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X1) ),
inference(spm,[status(thm)],[5971,133,theory(equality)]) ).
cnf(6006,plain,
( sdtlseqdt0(sdtpldt0(X1,xl),X2)
| sdtpldt0(X1,xn) != X2
| $false
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X1) ),
inference(rw,[status(thm)],[5973,134,theory(equality)]) ).
cnf(6007,plain,
( sdtlseqdt0(sdtpldt0(X1,xl),X2)
| sdtpldt0(X1,xn) != X2
| $false
| ~ aNaturalNumber0(X2)
| $false
| ~ aNaturalNumber0(X1) ),
inference(rw,[status(thm)],[6006,137,theory(equality)]) ).
cnf(6008,plain,
( sdtlseqdt0(sdtpldt0(X1,xl),X2)
| sdtpldt0(X1,xn) != X2
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(cn,[status(thm)],[6007,theory(equality)]) ).
cnf(7175,plain,
( sdtmndt0(sdtpldt0(X1,X2),X1) = X2
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(csr,[status(thm)],[383,111]) ).
cnf(7176,plain,
( sdtmndt0(xn,xl) = esk2_0
| ~ aNaturalNumber0(esk2_0)
| ~ aNaturalNumber0(xl) ),
inference(spm,[status(thm)],[7175,133,theory(equality)]) ).
cnf(7206,plain,
( sdtmndt0(xn,xl) = esk2_0
| $false
| ~ aNaturalNumber0(xl) ),
inference(rw,[status(thm)],[7176,134,theory(equality)]) ).
cnf(7207,plain,
( sdtmndt0(xn,xl) = esk2_0
| $false
| $false ),
inference(rw,[status(thm)],[7206,137,theory(equality)]) ).
cnf(7208,plain,
sdtmndt0(xn,xl) = esk2_0,
inference(cn,[status(thm)],[7207,theory(equality)]) ).
cnf(7266,plain,
( sdtpldt0(xl,X1) = xn
| esk2_0 != X1
| ~ sdtlseqdt0(xl,xn)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(xn) ),
inference(spm,[status(thm)],[103,7208,theory(equality)]) ).
cnf(7273,plain,
( sdtpldt0(xl,X1) = xn
| esk2_0 != X1
| $false
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(xn) ),
inference(rw,[status(thm)],[7266,132,theory(equality)]) ).
cnf(7274,plain,
( sdtpldt0(xl,X1) = xn
| esk2_0 != X1
| $false
| $false
| ~ aNaturalNumber0(xn) ),
inference(rw,[status(thm)],[7273,137,theory(equality)]) ).
cnf(7275,plain,
( sdtpldt0(xl,X1) = xn
| esk2_0 != X1
| $false
| $false
| $false ),
inference(rw,[status(thm)],[7274,136,theory(equality)]) ).
cnf(7276,plain,
( sdtpldt0(xl,X1) = xn
| esk2_0 != X1 ),
inference(cn,[status(thm)],[7275,theory(equality)]) ).
cnf(7410,plain,
( xn = xl
| ~ aNaturalNumber0(xl)
| esk2_0 != sz00 ),
inference(spm,[status(thm)],[124,7276,theory(equality)]) ).
cnf(7478,plain,
( xn = xl
| $false
| esk2_0 != sz00 ),
inference(rw,[status(thm)],[7410,137,theory(equality)]) ).
cnf(7479,plain,
( xn = xl
| esk2_0 != sz00 ),
inference(cn,[status(thm)],[7478,theory(equality)]) ).
cnf(7480,plain,
esk2_0 != sz00,
inference(sr,[status(thm)],[7479,135,theory(equality)]) ).
cnf(12435,negated_conjecture,
( sdtpldt0(xm,xn) = sdtpldt0(xm,xl)
| ~ sdtlseqdt0(sdtpldt0(xm,xl),sdtpldt0(xm,xn))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xn) ),
inference(spm,[status(thm)],[462,36,theory(equality)]) ).
cnf(12438,negated_conjecture,
( sdtpldt0(xm,xn) = sdtpldt0(xm,xl)
| ~ sdtlseqdt0(sdtpldt0(xm,xl),sdtpldt0(xm,xn))
| $false
| ~ aNaturalNumber0(xn) ),
inference(rw,[status(thm)],[12435,62,theory(equality)]) ).
cnf(12439,negated_conjecture,
( sdtpldt0(xm,xn) = sdtpldt0(xm,xl)
| ~ sdtlseqdt0(sdtpldt0(xm,xl),sdtpldt0(xm,xn))
| $false
| $false ),
inference(rw,[status(thm)],[12438,136,theory(equality)]) ).
cnf(12440,negated_conjecture,
( sdtpldt0(xm,xn) = sdtpldt0(xm,xl)
| ~ sdtlseqdt0(sdtpldt0(xm,xl),sdtpldt0(xm,xn)) ),
inference(cn,[status(thm)],[12439,theory(equality)]) ).
cnf(59267,plain,
( sz00 = X1
| sdtpldt0(X2,sdtpldt0(X3,X1)) != sdtpldt0(X2,X3)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2) ),
inference(csr,[status(thm)],[2134,111]) ).
cnf(59268,plain,
( sz00 = esk2_0
| sdtpldt0(X1,xn) != sdtpldt0(X1,xl)
| ~ aNaturalNumber0(esk2_0)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X1) ),
inference(spm,[status(thm)],[59267,133,theory(equality)]) ).
cnf(59350,plain,
( sz00 = esk2_0
| sdtpldt0(X1,xn) != sdtpldt0(X1,xl)
| $false
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X1) ),
inference(rw,[status(thm)],[59268,134,theory(equality)]) ).
cnf(59351,plain,
( sz00 = esk2_0
| sdtpldt0(X1,xn) != sdtpldt0(X1,xl)
| $false
| $false
| ~ aNaturalNumber0(X1) ),
inference(rw,[status(thm)],[59350,137,theory(equality)]) ).
cnf(59352,plain,
( sz00 = esk2_0
| sdtpldt0(X1,xn) != sdtpldt0(X1,xl)
| ~ aNaturalNumber0(X1) ),
inference(cn,[status(thm)],[59351,theory(equality)]) ).
cnf(59353,plain,
( sdtpldt0(X1,xn) != sdtpldt0(X1,xl)
| ~ aNaturalNumber0(X1) ),
inference(sr,[status(thm)],[59352,7480,theory(equality)]) ).
cnf(2124333,plain,
( sdtpldt0(xm,xn) = sdtpldt0(xm,xl)
| ~ aNaturalNumber0(sdtpldt0(xm,xn))
| ~ aNaturalNumber0(xm) ),
inference(spm,[status(thm)],[12440,6008,theory(equality)]) ).
cnf(2124361,plain,
( sdtpldt0(xm,xn) = sdtpldt0(xm,xl)
| ~ aNaturalNumber0(sdtpldt0(xm,xn))
| $false ),
inference(rw,[status(thm)],[2124333,62,theory(equality)]) ).
cnf(2124362,plain,
( sdtpldt0(xm,xn) = sdtpldt0(xm,xl)
| ~ aNaturalNumber0(sdtpldt0(xm,xn)) ),
inference(cn,[status(thm)],[2124361,theory(equality)]) ).
cnf(2124369,plain,
( sdtpldt0(xm,xn) = sdtpldt0(xm,xl)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xm) ),
inference(spm,[status(thm)],[2124362,111,theory(equality)]) ).
cnf(2124382,plain,
( sdtpldt0(xm,xn) = sdtpldt0(xm,xl)
| $false
| ~ aNaturalNumber0(xm) ),
inference(rw,[status(thm)],[2124369,136,theory(equality)]) ).
cnf(2124383,plain,
( sdtpldt0(xm,xn) = sdtpldt0(xm,xl)
| $false
| $false ),
inference(rw,[status(thm)],[2124382,62,theory(equality)]) ).
cnf(2124384,plain,
sdtpldt0(xm,xn) = sdtpldt0(xm,xl),
inference(cn,[status(thm)],[2124383,theory(equality)]) ).
cnf(2124489,plain,
~ aNaturalNumber0(xm),
inference(spm,[status(thm)],[59353,2124384,theory(equality)]) ).
cnf(2125443,plain,
$false,
inference(rw,[status(thm)],[2124489,62,theory(equality)]) ).
cnf(2125444,plain,
$false,
inference(cn,[status(thm)],[2125443,theory(equality)]) ).
cnf(2125445,plain,
$false,
2125444,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM461+2 : TPTP v7.0.0. Released v4.0.0.
% 0.01/0.04 % Command : Source/sine.py -e eprover -t %d %s
% 0.03/0.23 % Computer : n075.star.cs.uiowa.edu
% 0.03/0.23 % Model : x86_64 x86_64
% 0.03/0.23 % CPU : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
% 0.03/0.23 % Memory : 32218.625MB
% 0.03/0.23 % OS : Linux 3.10.0-693.2.2.el7.x86_64
% 0.03/0.23 % CPULimit : 300
% 0.03/0.23 % DateTime : Fri Jan 5 04:38:44 CST 2018
% 0.03/0.23 % CPUTime :
% 0.06/0.28 % SZS status Started for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.06/0.28 --creating new selector for []
% 29.06/29.39 eprover: CPU time limit exceeded, terminating
% 75.09/78.83 -running prover on /export/starexec/sandbox/tmp/tmpucInJo/sel_theBenchmark.p_1 with time limit 29
% 75.09/78.83 -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/tmpucInJo/sel_theBenchmark.p_1']
% 75.09/78.83 -prover status ResourceOut
% 75.09/78.83 -running prover on /export/starexec/sandbox/tmp/tmpucInJo/sel_theBenchmark.p_2 with time limit 80
% 75.09/78.83 -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=80', '/export/starexec/sandbox/tmp/tmpucInJo/sel_theBenchmark.p_2']
% 75.09/78.83 -prover status Theorem
% 75.09/78.83 Problem theBenchmark.p solved in phase 1.
% 75.09/78.83 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 75.09/78.83 % SZS status Ended for /export/starexec/sandbox/benchmark/theBenchmark.p
% 75.09/78.83 Solved 1 out of 1.
% 75.09/78.83 # Problem is unsatisfiable (or provable), constructing proof object
% 75.09/78.83 # SZS status Theorem
% 75.09/78.83 # SZS output start CNFRefutation.
% See solution above
% 75.09/78.86 # SZS output end CNFRefutation
%------------------------------------------------------------------------------