TSTP Solution File: NUM460+1 by SInE---0.4
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- Process Solution
%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : NUM460+1 : TPTP v7.0.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : n102.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 1.49s
% Output : CNFRefutation 1.49s
% Verified :
% SZS Type : Refutation
% Derivation depth : 32
% Number of leaves : 8
% Syntax : Number of formulae : 145 ( 31 unt; 0 def)
% Number of atoms : 500 ( 94 equ)
% Maximal formula atoms : 16 ( 3 avg)
% Number of connectives : 613 ( 258 ~; 306 |; 37 &)
% ( 2 <=>; 10 =>; 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 : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 141 ( 0 sgn 65 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(2,axiom,
! [X1,X2] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> equal(sdtpldt0(X1,X2),sdtpldt0(X2,X1)) ),
file('/export/starexec/sandbox2/tmp/tmpnwIGKR/sel_theBenchmark.p_1',mAddComm) ).
fof(7,axiom,
! [X1,X2] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> ( sdtlseqdt0(X1,X2)
<=> ? [X3] :
( aNaturalNumber0(X3)
& equal(sdtpldt0(X1,X3),X2) ) ) ),
file('/export/starexec/sandbox2/tmp/tmpnwIGKR/sel_theBenchmark.p_1',mDefLE) ).
fof(8,axiom,
! [X1,X2,X3] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2)
& aNaturalNumber0(X3) )
=> equal(sdtpldt0(sdtpldt0(X1,X2),X3),sdtpldt0(X1,sdtpldt0(X2,X3))) ),
file('/export/starexec/sandbox2/tmp/tmpnwIGKR/sel_theBenchmark.p_1',mAddAsso) ).
fof(11,conjecture,
( ( sdtlseqdt0(xm,xn)
& sdtlseqdt0(xn,xl) )
=> sdtlseqdt0(xm,xl) ),
file('/export/starexec/sandbox2/tmp/tmpnwIGKR/sel_theBenchmark.p_1',m__) ).
fof(12,axiom,
( aNaturalNumber0(xm)
& aNaturalNumber0(xn)
& aNaturalNumber0(xl) ),
file('/export/starexec/sandbox2/tmp/tmpnwIGKR/sel_theBenchmark.p_1',m__773) ).
fof(16,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/sandbox2/tmp/tmpnwIGKR/sel_theBenchmark.p_1',mDefDiff) ).
fof(19,axiom,
! [X1,X2] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> aNaturalNumber0(sdtpldt0(X1,X2)) ),
file('/export/starexec/sandbox2/tmp/tmpnwIGKR/sel_theBenchmark.p_1',mSortsB) ).
fof(20,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/sandbox2/tmp/tmpnwIGKR/sel_theBenchmark.p_1',mAddCanc) ).
fof(24,negated_conjecture,
~ ( ( sdtlseqdt0(xm,xn)
& sdtlseqdt0(xn,xl) )
=> sdtlseqdt0(xm,xl) ),
inference(assume_negation,[status(cth)],[11]) ).
fof(30,plain,
! [X1,X2] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| equal(sdtpldt0(X1,X2),sdtpldt0(X2,X1)) ),
inference(fof_nnf,[status(thm)],[2]) ).
fof(31,plain,
! [X3,X4] :
( ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X4)
| equal(sdtpldt0(X3,X4),sdtpldt0(X4,X3)) ),
inference(variable_rename,[status(thm)],[30]) ).
cnf(32,plain,
( sdtpldt0(X1,X2) = sdtpldt0(X2,X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[31]) ).
fof(50,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)],[7]) ).
fof(51,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)],[50]) ).
fof(52,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)],[51]) ).
fof(53,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)],[52]) ).
fof(54,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)],[53]) ).
cnf(55,plain,
( sdtpldt0(X2,esk1_2(X2,X1)) = X1
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ sdtlseqdt0(X2,X1) ),
inference(split_conjunct,[status(thm)],[54]) ).
cnf(56,plain,
( aNaturalNumber0(esk1_2(X2,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ sdtlseqdt0(X2,X1) ),
inference(split_conjunct,[status(thm)],[54]) ).
cnf(57,plain,
( sdtlseqdt0(X2,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| sdtpldt0(X2,X3) != X1
| ~ aNaturalNumber0(X3) ),
inference(split_conjunct,[status(thm)],[54]) ).
fof(58,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)],[8]) ).
fof(59,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)],[58]) ).
cnf(60,plain,
( sdtpldt0(sdtpldt0(X1,X2),X3) = sdtpldt0(X1,sdtpldt0(X2,X3))
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[59]) ).
fof(66,negated_conjecture,
( sdtlseqdt0(xm,xn)
& sdtlseqdt0(xn,xl)
& ~ sdtlseqdt0(xm,xl) ),
inference(fof_nnf,[status(thm)],[24]) ).
cnf(67,negated_conjecture,
~ sdtlseqdt0(xm,xl),
inference(split_conjunct,[status(thm)],[66]) ).
cnf(68,negated_conjecture,
sdtlseqdt0(xn,xl),
inference(split_conjunct,[status(thm)],[66]) ).
cnf(69,negated_conjecture,
sdtlseqdt0(xm,xn),
inference(split_conjunct,[status(thm)],[66]) ).
cnf(70,plain,
aNaturalNumber0(xl),
inference(split_conjunct,[status(thm)],[12]) ).
cnf(71,plain,
aNaturalNumber0(xn),
inference(split_conjunct,[status(thm)],[12]) ).
cnf(72,plain,
aNaturalNumber0(xm),
inference(split_conjunct,[status(thm)],[12]) ).
fof(84,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)],[16]) ).
fof(85,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)],[84]) ).
fof(86,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)],[85]) ).
fof(87,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)],[86]) ).
cnf(88,plain,
( X3 = sdtmndt0(X1,X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ sdtlseqdt0(X2,X1)
| sdtpldt0(X2,X3) != X1
| ~ aNaturalNumber0(X3) ),
inference(split_conjunct,[status(thm)],[87]) ).
cnf(89,plain,
( sdtpldt0(X2,X3) = X1
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ sdtlseqdt0(X2,X1)
| X3 != sdtmndt0(X1,X2) ),
inference(split_conjunct,[status(thm)],[87]) ).
cnf(90,plain,
( aNaturalNumber0(X3)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ sdtlseqdt0(X2,X1)
| X3 != sdtmndt0(X1,X2) ),
inference(split_conjunct,[status(thm)],[87]) ).
fof(95,plain,
! [X1,X2] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| aNaturalNumber0(sdtpldt0(X1,X2)) ),
inference(fof_nnf,[status(thm)],[19]) ).
fof(96,plain,
! [X3,X4] :
( ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X4)
| aNaturalNumber0(sdtpldt0(X3,X4)) ),
inference(variable_rename,[status(thm)],[95]) ).
cnf(97,plain,
( aNaturalNumber0(sdtpldt0(X1,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[96]) ).
fof(98,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)],[20]) ).
fof(99,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)],[98]) ).
fof(100,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)],[99]) ).
cnf(101,plain,
( X2 = X1
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| sdtpldt0(X2,X3) != sdtpldt0(X1,X3) ),
inference(split_conjunct,[status(thm)],[100]) ).
cnf(186,negated_conjecture,
( aNaturalNumber0(esk1_2(xm,xn))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xn) ),
inference(spm,[status(thm)],[56,69,theory(equality)]) ).
cnf(187,negated_conjecture,
( aNaturalNumber0(esk1_2(xn,xl))
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xl) ),
inference(spm,[status(thm)],[56,68,theory(equality)]) ).
cnf(189,negated_conjecture,
( aNaturalNumber0(esk1_2(xm,xn))
| $false
| ~ aNaturalNumber0(xn) ),
inference(rw,[status(thm)],[186,72,theory(equality)]) ).
cnf(190,negated_conjecture,
( aNaturalNumber0(esk1_2(xm,xn))
| $false
| $false ),
inference(rw,[status(thm)],[189,71,theory(equality)]) ).
cnf(191,negated_conjecture,
aNaturalNumber0(esk1_2(xm,xn)),
inference(cn,[status(thm)],[190,theory(equality)]) ).
cnf(192,negated_conjecture,
( aNaturalNumber0(esk1_2(xn,xl))
| $false
| ~ aNaturalNumber0(xl) ),
inference(rw,[status(thm)],[187,71,theory(equality)]) ).
cnf(193,negated_conjecture,
( aNaturalNumber0(esk1_2(xn,xl))
| $false
| $false ),
inference(rw,[status(thm)],[192,70,theory(equality)]) ).
cnf(194,negated_conjecture,
aNaturalNumber0(esk1_2(xn,xl)),
inference(cn,[status(thm)],[193,theory(equality)]) ).
cnf(211,plain,
( sdtlseqdt0(X1,sdtpldt0(X1,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(sdtpldt0(X1,X2)) ),
inference(er,[status(thm)],[57,theory(equality)]) ).
cnf(222,plain,
( aNaturalNumber0(sdtmndt0(X1,X2))
| ~ sdtlseqdt0(X2,X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(er,[status(thm)],[90,theory(equality)]) ).
cnf(223,negated_conjecture,
( sdtpldt0(xm,esk1_2(xm,xn)) = xn
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xn) ),
inference(spm,[status(thm)],[55,69,theory(equality)]) ).
cnf(224,negated_conjecture,
( sdtpldt0(xn,esk1_2(xn,xl)) = xl
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xl) ),
inference(spm,[status(thm)],[55,68,theory(equality)]) ).
cnf(226,negated_conjecture,
( sdtpldt0(xm,esk1_2(xm,xn)) = xn
| $false
| ~ aNaturalNumber0(xn) ),
inference(rw,[status(thm)],[223,72,theory(equality)]) ).
cnf(227,negated_conjecture,
( sdtpldt0(xm,esk1_2(xm,xn)) = xn
| $false
| $false ),
inference(rw,[status(thm)],[226,71,theory(equality)]) ).
cnf(228,negated_conjecture,
sdtpldt0(xm,esk1_2(xm,xn)) = xn,
inference(cn,[status(thm)],[227,theory(equality)]) ).
cnf(229,negated_conjecture,
( sdtpldt0(xn,esk1_2(xn,xl)) = xl
| $false
| ~ aNaturalNumber0(xl) ),
inference(rw,[status(thm)],[224,71,theory(equality)]) ).
cnf(230,negated_conjecture,
( sdtpldt0(xn,esk1_2(xn,xl)) = xl
| $false
| $false ),
inference(rw,[status(thm)],[229,70,theory(equality)]) ).
cnf(231,negated_conjecture,
sdtpldt0(xn,esk1_2(xn,xl)) = xl,
inference(cn,[status(thm)],[230,theory(equality)]) ).
cnf(266,plain,
( sdtpldt0(X1,sdtmndt0(X2,X1)) = X2
| ~ sdtlseqdt0(X1,X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(er,[status(thm)],[89,theory(equality)]) ).
cnf(370,plain,
( sdtmndt0(X1,X2) = X3
| sdtpldt0(X2,X3) != X1
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(csr,[status(thm)],[88,57]) ).
cnf(509,negated_conjecture,
( xm = X1
| xn != sdtpldt0(X1,esk1_2(xm,xn))
| ~ aNaturalNumber0(esk1_2(xm,xn))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(xm) ),
inference(spm,[status(thm)],[101,228,theory(equality)]) ).
cnf(512,negated_conjecture,
( sdtmndt0(X1,xm) = esk1_2(xm,xn)
| xn != X1
| ~ aNaturalNumber0(esk1_2(xm,xn))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X1) ),
inference(spm,[status(thm)],[370,228,theory(equality)]) ).
cnf(532,negated_conjecture,
( xm = X1
| xn != sdtpldt0(X1,esk1_2(xm,xn))
| $false
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(xm) ),
inference(rw,[status(thm)],[509,191,theory(equality)]) ).
cnf(533,negated_conjecture,
( xm = X1
| xn != sdtpldt0(X1,esk1_2(xm,xn))
| $false
| ~ aNaturalNumber0(X1)
| $false ),
inference(rw,[status(thm)],[532,72,theory(equality)]) ).
cnf(534,negated_conjecture,
( xm = X1
| xn != sdtpldt0(X1,esk1_2(xm,xn))
| ~ aNaturalNumber0(X1) ),
inference(cn,[status(thm)],[533,theory(equality)]) ).
cnf(541,negated_conjecture,
( sdtmndt0(X1,xm) = esk1_2(xm,xn)
| xn != X1
| $false
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X1) ),
inference(rw,[status(thm)],[512,191,theory(equality)]) ).
cnf(542,negated_conjecture,
( sdtmndt0(X1,xm) = esk1_2(xm,xn)
| xn != X1
| $false
| $false
| ~ aNaturalNumber0(X1) ),
inference(rw,[status(thm)],[541,72,theory(equality)]) ).
cnf(543,negated_conjecture,
( sdtmndt0(X1,xm) = esk1_2(xm,xn)
| xn != X1
| ~ aNaturalNumber0(X1) ),
inference(cn,[status(thm)],[542,theory(equality)]) ).
cnf(559,negated_conjecture,
( xn = X1
| xl != sdtpldt0(X1,esk1_2(xn,xl))
| ~ aNaturalNumber0(esk1_2(xn,xl))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(xn) ),
inference(spm,[status(thm)],[101,231,theory(equality)]) ).
cnf(562,negated_conjecture,
( sdtmndt0(X1,xn) = esk1_2(xn,xl)
| xl != X1
| ~ aNaturalNumber0(esk1_2(xn,xl))
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1) ),
inference(spm,[status(thm)],[370,231,theory(equality)]) ).
cnf(582,negated_conjecture,
( xn = X1
| xl != sdtpldt0(X1,esk1_2(xn,xl))
| $false
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(xn) ),
inference(rw,[status(thm)],[559,194,theory(equality)]) ).
cnf(583,negated_conjecture,
( xn = X1
| xl != sdtpldt0(X1,esk1_2(xn,xl))
| $false
| ~ aNaturalNumber0(X1)
| $false ),
inference(rw,[status(thm)],[582,71,theory(equality)]) ).
cnf(584,negated_conjecture,
( xn = X1
| xl != sdtpldt0(X1,esk1_2(xn,xl))
| ~ aNaturalNumber0(X1) ),
inference(cn,[status(thm)],[583,theory(equality)]) ).
cnf(591,negated_conjecture,
( sdtmndt0(X1,xn) = esk1_2(xn,xl)
| xl != X1
| $false
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(X1) ),
inference(rw,[status(thm)],[562,194,theory(equality)]) ).
cnf(592,negated_conjecture,
( sdtmndt0(X1,xn) = esk1_2(xn,xl)
| xl != X1
| $false
| $false
| ~ aNaturalNumber0(X1) ),
inference(rw,[status(thm)],[591,71,theory(equality)]) ).
cnf(593,negated_conjecture,
( sdtmndt0(X1,xn) = esk1_2(xn,xl)
| xl != X1
| ~ aNaturalNumber0(X1) ),
inference(cn,[status(thm)],[592,theory(equality)]) ).
cnf(1622,plain,
( sdtlseqdt0(X1,sdtpldt0(X1,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(csr,[status(thm)],[211,97]) ).
cnf(1628,plain,
( sdtlseqdt0(X1,sdtpldt0(X2,X1))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(spm,[status(thm)],[1622,32,theory(equality)]) ).
cnf(1697,negated_conjecture,
( sdtlseqdt0(esk1_2(xm,xn),xn)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(esk1_2(xm,xn)) ),
inference(spm,[status(thm)],[1628,228,theory(equality)]) ).
cnf(1698,negated_conjecture,
( sdtlseqdt0(esk1_2(xn,xl),xl)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(esk1_2(xn,xl)) ),
inference(spm,[status(thm)],[1628,231,theory(equality)]) ).
cnf(1707,plain,
( sdtlseqdt0(X1,sdtpldt0(X2,sdtpldt0(X3,X1)))
| ~ aNaturalNumber0(sdtpldt0(X2,X3))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2) ),
inference(spm,[status(thm)],[1628,60,theory(equality)]) ).
cnf(1712,negated_conjecture,
( sdtlseqdt0(esk1_2(xm,xn),xn)
| $false
| ~ aNaturalNumber0(esk1_2(xm,xn)) ),
inference(rw,[status(thm)],[1697,72,theory(equality)]) ).
cnf(1713,negated_conjecture,
( sdtlseqdt0(esk1_2(xm,xn),xn)
| $false
| $false ),
inference(rw,[status(thm)],[1712,191,theory(equality)]) ).
cnf(1714,negated_conjecture,
sdtlseqdt0(esk1_2(xm,xn),xn),
inference(cn,[status(thm)],[1713,theory(equality)]) ).
cnf(1715,negated_conjecture,
( sdtlseqdt0(esk1_2(xn,xl),xl)
| $false
| ~ aNaturalNumber0(esk1_2(xn,xl)) ),
inference(rw,[status(thm)],[1698,71,theory(equality)]) ).
cnf(1716,negated_conjecture,
( sdtlseqdt0(esk1_2(xn,xl),xl)
| $false
| $false ),
inference(rw,[status(thm)],[1715,194,theory(equality)]) ).
cnf(1717,negated_conjecture,
sdtlseqdt0(esk1_2(xn,xl),xl),
inference(cn,[status(thm)],[1716,theory(equality)]) ).
cnf(1795,negated_conjecture,
( aNaturalNumber0(esk1_2(esk1_2(xn,xl),xl))
| ~ aNaturalNumber0(esk1_2(xn,xl))
| ~ aNaturalNumber0(xl) ),
inference(spm,[status(thm)],[56,1717,theory(equality)]) ).
cnf(1797,negated_conjecture,
( sdtpldt0(esk1_2(xn,xl),esk1_2(esk1_2(xn,xl),xl)) = xl
| ~ aNaturalNumber0(esk1_2(xn,xl))
| ~ aNaturalNumber0(xl) ),
inference(spm,[status(thm)],[55,1717,theory(equality)]) ).
cnf(1798,negated_conjecture,
( aNaturalNumber0(esk1_2(esk1_2(xn,xl),xl))
| $false
| ~ aNaturalNumber0(xl) ),
inference(rw,[status(thm)],[1795,194,theory(equality)]) ).
cnf(1799,negated_conjecture,
( aNaturalNumber0(esk1_2(esk1_2(xn,xl),xl))
| $false
| $false ),
inference(rw,[status(thm)],[1798,70,theory(equality)]) ).
cnf(1800,negated_conjecture,
aNaturalNumber0(esk1_2(esk1_2(xn,xl),xl)),
inference(cn,[status(thm)],[1799,theory(equality)]) ).
cnf(1804,negated_conjecture,
( sdtpldt0(esk1_2(xn,xl),esk1_2(esk1_2(xn,xl),xl)) = xl
| $false
| ~ aNaturalNumber0(xl) ),
inference(rw,[status(thm)],[1797,194,theory(equality)]) ).
cnf(1805,negated_conjecture,
( sdtpldt0(esk1_2(xn,xl),esk1_2(esk1_2(xn,xl),xl)) = xl
| $false
| $false ),
inference(rw,[status(thm)],[1804,70,theory(equality)]) ).
cnf(1806,negated_conjecture,
sdtpldt0(esk1_2(xn,xl),esk1_2(esk1_2(xn,xl),xl)) = xl,
inference(cn,[status(thm)],[1805,theory(equality)]) ).
cnf(1810,negated_conjecture,
( aNaturalNumber0(sdtmndt0(xn,esk1_2(xm,xn)))
| ~ aNaturalNumber0(esk1_2(xm,xn))
| ~ aNaturalNumber0(xn) ),
inference(spm,[status(thm)],[222,1714,theory(equality)]) ).
cnf(1825,negated_conjecture,
( aNaturalNumber0(sdtmndt0(xn,esk1_2(xm,xn)))
| $false
| ~ aNaturalNumber0(xn) ),
inference(rw,[status(thm)],[1810,191,theory(equality)]) ).
cnf(1826,negated_conjecture,
( aNaturalNumber0(sdtmndt0(xn,esk1_2(xm,xn)))
| $false
| $false ),
inference(rw,[status(thm)],[1825,71,theory(equality)]) ).
cnf(1827,negated_conjecture,
aNaturalNumber0(sdtmndt0(xn,esk1_2(xm,xn))),
inference(cn,[status(thm)],[1826,theory(equality)]) ).
cnf(2643,negated_conjecture,
( xm = X1
| sdtpldt0(esk1_2(xm,xn),X1) != xn
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(esk1_2(xm,xn)) ),
inference(spm,[status(thm)],[534,32,theory(equality)]) ).
cnf(2649,negated_conjecture,
( xm = X1
| sdtpldt0(esk1_2(xm,xn),X1) != xn
| ~ aNaturalNumber0(X1)
| $false ),
inference(rw,[status(thm)],[2643,191,theory(equality)]) ).
cnf(2650,negated_conjecture,
( xm = X1
| sdtpldt0(esk1_2(xm,xn),X1) != xn
| ~ aNaturalNumber0(X1) ),
inference(cn,[status(thm)],[2649,theory(equality)]) ).
cnf(2916,negated_conjecture,
( xn = X1
| sdtpldt0(esk1_2(xn,xl),X1) != xl
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(esk1_2(xn,xl)) ),
inference(spm,[status(thm)],[584,32,theory(equality)]) ).
cnf(2922,negated_conjecture,
( xn = X1
| sdtpldt0(esk1_2(xn,xl),X1) != xl
| ~ aNaturalNumber0(X1)
| $false ),
inference(rw,[status(thm)],[2916,194,theory(equality)]) ).
cnf(2923,negated_conjecture,
( xn = X1
| sdtpldt0(esk1_2(xn,xl),X1) != xl
| ~ aNaturalNumber0(X1) ),
inference(cn,[status(thm)],[2922,theory(equality)]) ).
cnf(3122,negated_conjecture,
( sdtpldt0(esk1_2(xm,xn),sdtmndt0(xn,esk1_2(xm,xn))) = xn
| ~ aNaturalNumber0(esk1_2(xm,xn))
| ~ aNaturalNumber0(xn) ),
inference(spm,[status(thm)],[266,1714,theory(equality)]) ).
cnf(3139,negated_conjecture,
( sdtpldt0(esk1_2(xm,xn),sdtmndt0(xn,esk1_2(xm,xn))) = xn
| $false
| ~ aNaturalNumber0(xn) ),
inference(rw,[status(thm)],[3122,191,theory(equality)]) ).
cnf(3140,negated_conjecture,
( sdtpldt0(esk1_2(xm,xn),sdtmndt0(xn,esk1_2(xm,xn))) = xn
| $false
| $false ),
inference(rw,[status(thm)],[3139,71,theory(equality)]) ).
cnf(3141,negated_conjecture,
sdtpldt0(esk1_2(xm,xn),sdtmndt0(xn,esk1_2(xm,xn))) = xn,
inference(cn,[status(thm)],[3140,theory(equality)]) ).
cnf(3852,negated_conjecture,
( sdtmndt0(xn,xm) = esk1_2(xm,xn)
| ~ aNaturalNumber0(xn) ),
inference(er,[status(thm)],[543,theory(equality)]) ).
cnf(3853,negated_conjecture,
( sdtmndt0(xn,xm) = esk1_2(xm,xn)
| $false ),
inference(rw,[status(thm)],[3852,71,theory(equality)]) ).
cnf(3854,negated_conjecture,
sdtmndt0(xn,xm) = esk1_2(xm,xn),
inference(cn,[status(thm)],[3853,theory(equality)]) ).
cnf(3855,negated_conjecture,
sdtpldt0(sdtmndt0(xn,xm),sdtmndt0(xn,sdtmndt0(xn,xm))) = xn,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[3141,3854,theory(equality)]),3854,theory(equality)]) ).
cnf(3857,negated_conjecture,
aNaturalNumber0(sdtmndt0(xn,sdtmndt0(xn,xm))),
inference(rw,[status(thm)],[1827,3854,theory(equality)]) ).
cnf(3863,negated_conjecture,
aNaturalNumber0(sdtmndt0(xn,xm)),
inference(rw,[status(thm)],[191,3854,theory(equality)]) ).
cnf(3865,negated_conjecture,
( xm = X1
| sdtpldt0(sdtmndt0(xn,xm),X1) != xn
| ~ aNaturalNumber0(X1) ),
inference(rw,[status(thm)],[2650,3854,theory(equality)]) ).
cnf(4192,negated_conjecture,
( xm = sdtmndt0(xn,sdtmndt0(xn,xm))
| ~ aNaturalNumber0(sdtmndt0(xn,sdtmndt0(xn,xm))) ),
inference(spm,[status(thm)],[3865,3855,theory(equality)]) ).
cnf(4199,negated_conjecture,
( xm = sdtmndt0(xn,sdtmndt0(xn,xm))
| $false ),
inference(rw,[status(thm)],[4192,3857,theory(equality)]) ).
cnf(4200,negated_conjecture,
xm = sdtmndt0(xn,sdtmndt0(xn,xm)),
inference(cn,[status(thm)],[4199,theory(equality)]) ).
cnf(4231,negated_conjecture,
sdtpldt0(sdtmndt0(xn,xm),xm) = xn,
inference(rw,[status(thm)],[3855,4200,theory(equality)]) ).
cnf(5241,negated_conjecture,
( sdtmndt0(xl,xn) = esk1_2(xn,xl)
| ~ aNaturalNumber0(xl) ),
inference(er,[status(thm)],[593,theory(equality)]) ).
cnf(5242,negated_conjecture,
( sdtmndt0(xl,xn) = esk1_2(xn,xl)
| $false ),
inference(rw,[status(thm)],[5241,70,theory(equality)]) ).
cnf(5243,negated_conjecture,
sdtmndt0(xl,xn) = esk1_2(xn,xl),
inference(cn,[status(thm)],[5242,theory(equality)]) ).
cnf(5245,negated_conjecture,
sdtpldt0(sdtmndt0(xl,xn),esk1_2(sdtmndt0(xl,xn),xl)) = xl,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[1806,5243,theory(equality)]),5243,theory(equality)]) ).
cnf(5247,negated_conjecture,
aNaturalNumber0(esk1_2(sdtmndt0(xl,xn),xl)),
inference(rw,[status(thm)],[1800,5243,theory(equality)]) ).
cnf(5252,negated_conjecture,
aNaturalNumber0(sdtmndt0(xl,xn)),
inference(rw,[status(thm)],[194,5243,theory(equality)]) ).
cnf(5254,negated_conjecture,
( xn = X1
| sdtpldt0(sdtmndt0(xl,xn),X1) != xl
| ~ aNaturalNumber0(X1) ),
inference(rw,[status(thm)],[2923,5243,theory(equality)]) ).
cnf(5786,negated_conjecture,
( xn = esk1_2(sdtmndt0(xl,xn),xl)
| ~ aNaturalNumber0(esk1_2(sdtmndt0(xl,xn),xl)) ),
inference(spm,[status(thm)],[5254,5245,theory(equality)]) ).
cnf(5792,negated_conjecture,
( xn = esk1_2(sdtmndt0(xl,xn),xl)
| $false ),
inference(rw,[status(thm)],[5786,5247,theory(equality)]) ).
cnf(5793,negated_conjecture,
xn = esk1_2(sdtmndt0(xl,xn),xl),
inference(cn,[status(thm)],[5792,theory(equality)]) ).
cnf(5836,negated_conjecture,
sdtpldt0(sdtmndt0(xl,xn),xn) = xl,
inference(rw,[status(thm)],[5245,5793,theory(equality)]) ).
cnf(98757,plain,
( sdtlseqdt0(X1,sdtpldt0(X2,sdtpldt0(X3,X1)))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2) ),
inference(csr,[status(thm)],[1707,97]) ).
cnf(98763,negated_conjecture,
( sdtlseqdt0(xm,sdtpldt0(X1,xn))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtmndt0(xn,xm))
| ~ aNaturalNumber0(X1) ),
inference(spm,[status(thm)],[98757,4231,theory(equality)]) ).
cnf(98940,negated_conjecture,
( sdtlseqdt0(xm,sdtpldt0(X1,xn))
| $false
| ~ aNaturalNumber0(sdtmndt0(xn,xm))
| ~ aNaturalNumber0(X1) ),
inference(rw,[status(thm)],[98763,72,theory(equality)]) ).
cnf(98941,negated_conjecture,
( sdtlseqdt0(xm,sdtpldt0(X1,xn))
| $false
| $false
| ~ aNaturalNumber0(X1) ),
inference(rw,[status(thm)],[98940,3863,theory(equality)]) ).
cnf(98942,negated_conjecture,
( sdtlseqdt0(xm,sdtpldt0(X1,xn))
| ~ aNaturalNumber0(X1) ),
inference(cn,[status(thm)],[98941,theory(equality)]) ).
cnf(99362,negated_conjecture,
( sdtlseqdt0(xm,xl)
| ~ aNaturalNumber0(sdtmndt0(xl,xn)) ),
inference(spm,[status(thm)],[98942,5836,theory(equality)]) ).
cnf(99379,negated_conjecture,
( sdtlseqdt0(xm,xl)
| $false ),
inference(rw,[status(thm)],[99362,5252,theory(equality)]) ).
cnf(99380,negated_conjecture,
sdtlseqdt0(xm,xl),
inference(cn,[status(thm)],[99379,theory(equality)]) ).
cnf(99381,negated_conjecture,
$false,
inference(sr,[status(thm)],[99380,67,theory(equality)]) ).
cnf(99382,negated_conjecture,
$false,
99381,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM460+1 : TPTP v7.0.0. Released v4.0.0.
% 0.00/0.04 % Command : Source/sine.py -e eprover -t %d %s
% 0.03/0.23 % Computer : n102.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 : Mon Jan 8 08:49:12 CST 2018
% 0.03/0.23 % CPUTime :
% 0.07/0.28 % SZS status Started for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.07/0.28 --creating new selector for []
% 1.49/1.72 -running prover on /export/starexec/sandbox2/tmp/tmpnwIGKR/sel_theBenchmark.p_1 with time limit 29
% 1.49/1.72 -running prover with command ['/export/starexec/sandbox2/solver/bin/Source/./Source/PROVER/eproof.working', '-s', '-tLPO4', '-xAuto', '-tAuto', '--memory-limit=768', '--tptp3-format', '--cpu-limit=29', '/export/starexec/sandbox2/tmp/tmpnwIGKR/sel_theBenchmark.p_1']
% 1.49/1.72 -prover status Theorem
% 1.49/1.72 Problem theBenchmark.p solved in phase 0.
% 1.49/1.72 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.49/1.72 % SZS status Ended for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.49/1.72 Solved 1 out of 1.
% 1.49/1.72 # Problem is unsatisfiable (or provable), constructing proof object
% 1.49/1.72 # SZS status Theorem
% 1.49/1.72 # SZS output start CNFRefutation.
% See solution above
% 1.49/1.73 # SZS output end CNFRefutation
%------------------------------------------------------------------------------