0.00/0.00	% File    : /export/starexec/sandbox/benchmark/theBenchmark.p
0.00/0.00	% app-encoded or not : original
0.00/0.00	% Variant    : supatvars_int
0.00/0.00	% Ordering    : kbo
0.00/0.00	% Command    : 
0.00/0.00	#!/bin/sh
0.00/0.00	
0.00/0.00	./zipperposition.native ${1:+"$1"} \
0.00/0.00	  -i tptp \
0.00/0.00	  -o tptp \
0.00/0.00	  --timeout "$STAREXEC_WALLCLOCK_LIMIT" \
0.00/0.00	  --mem-limit "$STAREXEC_MAX_MEM" \
0.00/0.00	  --no-avatar \
0.00/0.00	  --ho \
0.00/0.00	  --force-ho \
0.00/0.00	  --no-ho-elim-pred-var \
0.00/0.00	  --ho-general-ext-pos \
0.00/0.00	  --no-ho-unif \
0.00/0.00	  --no-induction \
0.00/0.00	  --no-unif-pattern \
0.00/0.00	  --ord $2  \
0.00/0.00	  --simultaneous-sup false \
0.00/0.00	  --sup-at-vars \
0.00/0.00	  --ho-no-ext-pos \
0.00/0.00	  --ho-no-ext-neg \
0.00/0.00	  --ho-prim-enum none \
0.00/0.00	  --no-max-vars \
0.00/0.00	  --dont-select-ho-var-lits \
0.00/0.00	  --no-fool
0.00/0.20	% Computer   : n096.star.cs.uiowa.edu
0.00/0.20	% Model      : x86_64 x86_64
0.00/0.20	% CPU        : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
0.00/0.20	% Memory     : 32218.625MB
0.00/0.20	% OS         : Linux 3.10.0-693.2.2.el7.x86_64
0.00/0.20	% CPULimit   : 300
0.00/0.20	% DateTime   : Fri Feb  2 18:40:09 CST 2018
9.14/9.40	% done 172 iterations in 9.200s
9.14/9.40	% SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
9.14/9.40	% SZS output start Refutation
9.14/9.41	tff('thm/iterate/sum_', axiom,
9.14/9.41	  (![A:$tType]:
9.14/9.41	     ('const/iterate/sum'(A) =
9.14/9.41	      'const/iterate/iterate'(A,'type/realax/real','const/realax/real_add')))).
9.14/9.41	tff('0', plain,
9.14/9.41	    ![X7 : $tType]:
9.14/9.41	      'const/iterate/sum'(X7)
9.14/9.41	       = 'const/iterate/iterate'(X7, 'type/realax/real', 
9.14/9.41	           'const/realax/real_add'),
9.14/9.41	    inference('cnf', [status(esa)], [thm/iterate/sum_])).
9.14/9.41	tff('1', plain,
9.14/9.41	    ![X7 : $tType, X8 : X7 > $o, X9 : X7 > 'type/realax/real']:
9.14/9.41	      'const/iterate/sum'(X7, X8, X9)
9.14/9.41	       = 'const/iterate/iterate'(X7, 'type/realax/real', 
9.14/9.41	           'const/realax/real_add', X8, X9),
9.14/9.41	    inference('ho_complete_eq', [status(thm)], ['0'])).
9.14/9.41	tff('thm/iterate/ITERATE_IMAGE_NONZERO_', axiom,
9.14/9.41	  (![C:$tType,A:$tType,B:$tType,A0:((C * C) > C)]:
9.14/9.41	     ('const/iterate/monoidal'(C,A0) =>
9.14/9.41	      (![A1:(B > C),A2:(A > B),A3:(A > $o)]:
9.14/9.41	         (((![A4:A,A5:A]:
9.14/9.41	              (((A2(A4) = A2(A5)) & (A4 != A5) & 'const/sets/IN'(A,A5,A3) & 
9.14/9.41	                'const/sets/IN'(A,A4,A3)) =>
9.14/9.41	               (A1(A2(A4)) = 'const/iterate/neutral'(C,A0)))) & 
9.14/9.41	           'const/sets/FINITE'(A,A3)) =>
9.14/9.41	          ('const/iterate/iterate'(B,C,A0,'const/sets/IMAGE'(A,B,A2,A3),A1) =
9.14/9.41	           'const/iterate/iterate'(A,C,A0,A3,'const/trivia/o'(B,A,C,A1,A2)))))))).
9.14/9.41	tff('2', plain,
9.14/9.41	    ![X0 : $tType, X1 : (X0 * X0) > X0, X2 : $tType, X3 : X2 > X0, 
9.14/9.41	      X4 : $tType, X5 : X4 > X2, X6 : X4 > $o]:
9.14/9.41	      ('const/sets/IN'(X4, sk_A5(X2, X4, X0, X6, X5, X3, X1), X6)
9.14/9.41	       | ~ 'const/sets/FINITE'(X4, X6)
9.14/9.41	       | 'const/iterate/iterate'(X2, X0, X1, 
9.14/9.41	           'const/sets/IMAGE'(X4, X2, X5, X6), X3)
9.14/9.41	          = 'const/iterate/iterate'(X4, X0, X1, X6, 
9.14/9.41	              'const/trivia/o'(X2, X4, X0, X3, X5))
9.14/9.41	       | ~ 'const/iterate/monoidal'(X0, X1)),
9.14/9.41	    inference('cnf', [status(esa)], [thm/iterate/ITERATE_IMAGE_NONZERO_])).
9.14/9.41	tff('3', plain,
9.14/9.41	    ![X0 : $tType, X1 : X0 > 'type/realax/real', X2 : $tType, X3 : X2 > $o, 
9.14/9.41	      X4 : X2 > X0]:
9.14/9.41	      ('const/iterate/sum'(X0, 'const/sets/IMAGE'(X2, X0, X4, X3), X1)
9.14/9.41	        = 'const/iterate/iterate'(X2, 'type/realax/real', 
9.14/9.41	            'const/realax/real_add', X3, 
9.14/9.41	            'const/trivia/o'(X0, X2, 'type/realax/real', X1, X4))
9.14/9.41	       | ~ 'const/iterate/monoidal'('type/realax/real', 
9.14/9.41	             'const/realax/real_add')
9.14/9.41	       | ~ 'const/sets/FINITE'(X2, X3)
9.14/9.41	       | 'const/sets/IN'(X2, 
9.14/9.41	           sk_A5(X0, X2, 'type/realax/real', X3, X4, X1, 
9.14/9.41	             'const/realax/real_add'), X3)),
9.14/9.41	    inference('sup+', [status(thm)], ['1', '2'])).
9.14/9.41	tff('thm/iterate/MONOIDAL_REAL_ADD_', axiom,
9.14/9.41	  ('const/iterate/monoidal'('type/realax/real','const/realax/real_add'))).
9.14/9.41	tff('4', plain,
9.14/9.41	    'const/iterate/monoidal'('type/realax/real', 'const/realax/real_add'),
9.14/9.41	    inference('cnf', [status(esa)], [thm/iterate/MONOIDAL_REAL_ADD_])).
9.14/9.41	tff('5', plain,
9.14/9.41	    ![X0 : $tType, X1 : X0 > 'type/realax/real', X2 : $tType, X3 : X2 > $o, 
9.14/9.41	      X4 : X2 > X0]:
9.14/9.41	      ('const/iterate/sum'(X0, 'const/sets/IMAGE'(X2, X0, X4, X3), X1)
9.14/9.41	        = 'const/iterate/sum'(X2, X3, 
9.14/9.41	            'const/trivia/o'(X0, X2, 'type/realax/real', X1, X4))
9.14/9.41	       | ~ $true
9.14/9.41	       | ~ 'const/sets/FINITE'(X2, X3)
9.14/9.41	       | 'const/sets/IN'(X2, 
9.14/9.41	           sk_A5(X0, X2, 'type/realax/real', X3, X4, X1, 
9.14/9.41	             'const/realax/real_add'), X3)),
9.14/9.41	    inference('demod', [status(thm)], ['3', '1', '4'])).
9.14/9.41	tff('6', plain,
9.14/9.41	    ![X0 : $tType, X1 : X0 > 'type/realax/real', X2 : $tType, X3 : X2 > $o, 
9.14/9.41	      X4 : X2 > X0]:
9.14/9.41	      ('const/sets/IN'(X2, 
9.14/9.41	         sk_A5(X0, X2, 'type/realax/real', X3, X4, X1, 
9.14/9.41	           'const/realax/real_add'), X3)
9.14/9.41	       | ~ 'const/sets/FINITE'(X2, X3)
9.14/9.41	       | 'const/iterate/sum'(X0, 'const/sets/IMAGE'(X2, X0, X4, X3), X1)
9.14/9.41	          = 'const/iterate/sum'(X2, X3, 
9.14/9.41	              'const/trivia/o'(X0, X2, 'type/realax/real', X1, X4))),
9.14/9.41	    inference('simplify', [status(thm)], ['5'])).
9.14/9.41	tff('7', plain,
9.14/9.41	    ![X0 : $tType, X1 : (X0 * X0) > X0, X2 : $tType, X3 : X2 > X0, 
9.14/9.41	      X4 : $tType, X5 : X4 > X2, X6 : X4 > $o]:
9.14/9.41	      (X5(sk_A4(X2, X4, X0, X6, X5, X3, X1))
9.14/9.41	        = X5(sk_A5(X2, X4, X0, X6, X5, X3, X1))
9.14/9.41	       | ~ 'const/sets/FINITE'(X4, X6)
9.14/9.41	       | 'const/iterate/iterate'(X2, X0, X1, 
9.14/9.41	           'const/sets/IMAGE'(X4, X2, X5, X6), X3)
9.14/9.41	          = 'const/iterate/iterate'(X4, X0, X1, X6, 
9.14/9.41	              'const/trivia/o'(X2, X4, X0, X3, X5))
9.14/9.41	       | ~ 'const/iterate/monoidal'(X0, X1)),
9.14/9.41	    inference('cnf', [status(esa)], [thm/iterate/ITERATE_IMAGE_NONZERO_])).
9.14/9.41	tff('8', plain,
9.14/9.41	    ![X0 : $tType, X1 : X0 > 'type/realax/real', X2 : $tType, X3 : X2 > $o, 
9.14/9.41	      X4 : X2 > X0]:
9.14/9.41	      ('const/iterate/sum'(X0, 'const/sets/IMAGE'(X2, X0, X4, X3), X1)
9.14/9.41	        = 'const/iterate/iterate'(X2, 'type/realax/real', 
9.14/9.41	            'const/realax/real_add', X3, 
9.14/9.41	            'const/trivia/o'(X0, X2, 'type/realax/real', X1, X4))
9.14/9.41	       | ~ 'const/iterate/monoidal'('type/realax/real', 
9.14/9.41	             'const/realax/real_add')
9.14/9.41	       | ~ 'const/sets/FINITE'(X2, X3)
9.14/9.41	       | X4(
9.14/9.41	           sk_A4(X0, X2, 'type/realax/real', X3, X4, X1, 
9.14/9.41	             'const/realax/real_add'))
9.14/9.41	          = X4(
9.14/9.41	              sk_A5(X0, X2, 'type/realax/real', X3, X4, X1, 
9.14/9.41	                'const/realax/real_add'))),
9.14/9.41	    inference('sup+', [status(thm)], ['1', '7'])).
9.14/9.41	tff('9', plain,
9.14/9.41	    ![X0 : $tType, X1 : X0 > 'type/realax/real', X2 : $tType, X3 : X2 > $o, 
9.14/9.41	      X4 : X2 > X0]:
9.14/9.41	      ('const/iterate/sum'(X0, 'const/sets/IMAGE'(X2, X0, X4, X3), X1)
9.14/9.41	        = 'const/iterate/sum'(X2, X3, 
9.14/9.41	            'const/trivia/o'(X0, X2, 'type/realax/real', X1, X4))
9.14/9.41	       | ~ $true
9.14/9.41	       | ~ 'const/sets/FINITE'(X2, X3)
9.14/9.41	       | X4(
9.14/9.41	           sk_A4(X0, X2, 'type/realax/real', X3, X4, X1, 
9.14/9.41	             'const/realax/real_add'))
9.14/9.41	          = X4(
9.14/9.41	              sk_A5(X0, X2, 'type/realax/real', X3, X4, X1, 
9.14/9.41	                'const/realax/real_add'))),
9.14/9.41	    inference('demod', [status(thm)], ['8', '1', '4'])).
9.14/9.41	tff('10', plain,
9.14/9.41	    ![X0 : $tType, X1 : X0 > 'type/realax/real', X2 : $tType, X3 : X2 > $o, 
9.14/9.41	      X4 : X2 > X0]:
9.14/9.41	      (X4(
9.14/9.41	         sk_A4(X0, X2, 'type/realax/real', X3, X4, X1, 
9.14/9.41	           'const/realax/real_add'))
9.14/9.41	        = X4(
9.14/9.41	            sk_A5(X0, X2, 'type/realax/real', X3, X4, X1, 
9.14/9.41	              'const/realax/real_add'))
9.14/9.41	       | ~ 'const/sets/FINITE'(X2, X3)
9.14/9.41	       | 'const/iterate/sum'(X0, 'const/sets/IMAGE'(X2, X0, X4, X3), X1)
9.14/9.41	          = 'const/iterate/sum'(X2, X3, 
9.14/9.41	              'const/trivia/o'(X0, X2, 'type/realax/real', X1, X4))),
9.14/9.41	    inference('simplify', [status(thm)], ['9'])).
9.14/9.41	tff('thm/iterate/SUM_IMAGE_NONZERO_', conjecture,
9.14/9.41	  (![A:$tType,B:$tType,A0:(B > 'type/realax/real'),A1:(A > B),A2:(A > $o)]:
9.14/9.41	     (((![A3:A,A4:A]:
9.14/9.41	          (((A1(A3) = A1(A4)) & (A3 != A4) & 'const/sets/IN'(A,A4,A2) & 
9.14/9.41	            'const/sets/IN'(A,A3,A2)) =>
9.14/9.41	           (A0(A1(A3)) =
9.14/9.41	            'const/realax/real_of_num'('const/nums/NUMERAL'('const/nums/_0'))))) & 
9.14/9.41	       'const/sets/FINITE'(A,A2)) =>
9.14/9.41	      ('const/iterate/sum'(B,'const/sets/IMAGE'(A,B,A1,A2),A0) =
9.14/9.41	       'const/iterate/sum'(A,A2,
9.14/9.41	                           'const/trivia/o'(B,A,'type/realax/real',A0,A1)))))).
9.14/9.41	tff(zf_stmt_0, negated_conjecture,
9.14/9.41	  (~
9.14/9.41	    (![A:$tType,B:$tType,A0:(B > 'type/realax/real'),A1:(A > B),A2:(A > $o)]:
9.14/9.41	       (((![A3:A,A4:A]:
9.14/9.41	            (((A1(A3) = A1(A4)) & (A3 != A4) & 'const/sets/IN'(A,A4,A2) & 
9.14/9.41	              'const/sets/IN'(A,A3,A2)) =>
9.14/9.41	             (A0(A1(A3)) =
9.14/9.41	              'const/realax/real_of_num'('const/nums/NUMERAL'('const/nums/_0'))))) & 
9.14/9.41	         'const/sets/FINITE'(A,A2)) =>
9.14/9.41	        ('const/iterate/sum'(B,'const/sets/IMAGE'(A,B,A1,A2),A0) =
9.14/9.41	         'const/iterate/sum'(A,A2,
9.14/9.41	                             'const/trivia/o'(B,A,'type/realax/real',A0,A1))))))).
9.14/9.41	tff('11', plain,
9.14/9.41	    'const/iterate/sum'(sk_B, 'const/sets/IMAGE'(sk_A, sk_B, sk_A1, sk_A2), 
9.14/9.41	      sk_A0)
9.14/9.41	     != 'const/iterate/sum'(sk_A, sk_A2, 
9.14/9.41	          'const/trivia/o'(sk_B, sk_A, 'type/realax/real', sk_A0, sk_A1)),
9.14/9.41	    inference('cnf', [status(esa)], [zf_stmt_0])).
9.14/9.41	tff('12', plain,
9.14/9.41	    ('const/iterate/sum'(sk_B, 'const/sets/IMAGE'(sk_A, sk_B, sk_A1, sk_A2), 
9.14/9.41	       sk_A0)
9.14/9.41	      != 'const/iterate/sum'(sk_B, 
9.14/9.41	           'const/sets/IMAGE'(sk_A, sk_B, sk_A1, sk_A2), sk_A0)
9.14/9.41	     | ~ 'const/sets/FINITE'(sk_A, sk_A2)
9.14/9.41	     | sk_A1(
9.14/9.41	         sk_A4(sk_B, sk_A, 'type/realax/real', sk_A2, sk_A1, sk_A0, 
9.14/9.41	           'const/realax/real_add'))
9.14/9.41	        = sk_A1(
9.14/9.41	            sk_A5(sk_B, sk_A, 'type/realax/real', sk_A2, sk_A1, sk_A0, 
9.14/9.41	              'const/realax/real_add'))),
9.14/9.41	    inference('sup-', [status(thm)], ['10', '11'])).
9.14/9.41	tff('13', plain, 'const/sets/FINITE'(sk_A, sk_A2),
9.14/9.41	    inference('cnf', [status(esa)], [zf_stmt_0])).
9.14/9.41	tff('14', plain,
9.14/9.41	    ('const/iterate/sum'(sk_B, 'const/sets/IMAGE'(sk_A, sk_B, sk_A1, sk_A2), 
9.14/9.41	       sk_A0)
9.14/9.41	      != 'const/iterate/sum'(sk_B, 
9.14/9.41	           'const/sets/IMAGE'(sk_A, sk_B, sk_A1, sk_A2), sk_A0)
9.14/9.41	     | ~ $true
9.14/9.41	     | sk_A1(
9.14/9.41	         sk_A4(sk_B, sk_A, 'type/realax/real', sk_A2, sk_A1, sk_A0, 
9.14/9.41	           'const/realax/real_add'))
9.14/9.41	        = sk_A1(
9.14/9.41	            sk_A5(sk_B, sk_A, 'type/realax/real', sk_A2, sk_A1, sk_A0, 
9.14/9.41	              'const/realax/real_add'))),
9.14/9.41	    inference('demod', [status(thm)], ['12', '13'])).
9.14/9.41	tff('15', plain,
9.14/9.41	    sk_A1(
9.14/9.41	      sk_A4(sk_B, sk_A, 'type/realax/real', sk_A2, sk_A1, sk_A0, 
9.14/9.41	        'const/realax/real_add'))
9.14/9.41	     = sk_A1(
9.14/9.41	         sk_A5(sk_B, sk_A, 'type/realax/real', sk_A2, sk_A1, sk_A0, 
9.14/9.41	           'const/realax/real_add')),
9.14/9.41	    inference('simplify', [status(thm)], ['14'])).
9.14/9.41	tff('16', plain,
9.14/9.41	    ![X0 : $tType, X1 : (X0 * X0) > X0, X2 : $tType, X3 : X2 > X0, 
9.14/9.41	      X4 : $tType, X5 : X4 > X2, X6 : X4 > $o]:
9.14/9.41	      ('const/sets/IN'(X4, sk_A4(X2, X4, X0, X6, X5, X3, X1), X6)
9.14/9.41	       | ~ 'const/sets/FINITE'(X4, X6)
9.14/9.41	       | 'const/iterate/iterate'(X2, X0, X1, 
9.14/9.41	           'const/sets/IMAGE'(X4, X2, X5, X6), X3)
9.14/9.41	          = 'const/iterate/iterate'(X4, X0, X1, X6, 
9.14/9.41	              'const/trivia/o'(X2, X4, X0, X3, X5))
9.14/9.41	       | ~ 'const/iterate/monoidal'(X0, X1)),
9.14/9.41	    inference('cnf', [status(esa)], [thm/iterate/ITERATE_IMAGE_NONZERO_])).
9.14/9.41	tff('17', plain,
9.14/9.41	    ![X0 : $tType, X1 : X0 > 'type/realax/real', X2 : $tType, X3 : X2 > $o, 
9.14/9.41	      X4 : X2 > X0]:
9.14/9.41	      ('const/iterate/sum'(X0, 'const/sets/IMAGE'(X2, X0, X4, X3), X1)
9.14/9.41	        = 'const/iterate/iterate'(X2, 'type/realax/real', 
9.14/9.41	            'const/realax/real_add', X3, 
9.14/9.41	            'const/trivia/o'(X0, X2, 'type/realax/real', X1, X4))
9.14/9.41	       | ~ 'const/iterate/monoidal'('type/realax/real', 
9.14/9.41	             'const/realax/real_add')
9.14/9.41	       | ~ 'const/sets/FINITE'(X2, X3)
9.14/9.41	       | 'const/sets/IN'(X2, 
9.14/9.41	           sk_A4(X0, X2, 'type/realax/real', X3, X4, X1, 
9.14/9.41	             'const/realax/real_add'), X3)),
9.14/9.41	    inference('sup+', [status(thm)], ['1', '16'])).
9.14/9.41	tff('18', plain,
9.14/9.41	    ![X0 : $tType, X1 : X0 > 'type/realax/real', X2 : $tType, X3 : X2 > $o, 
9.14/9.41	      X4 : X2 > X0]:
9.14/9.41	      ('const/iterate/sum'(X0, 'const/sets/IMAGE'(X2, X0, X4, X3), X1)
9.14/9.41	        = 'const/iterate/sum'(X2, X3, 
9.14/9.41	            'const/trivia/o'(X0, X2, 'type/realax/real', X1, X4))
9.14/9.41	       | ~ $true
9.14/9.41	       | ~ 'const/sets/FINITE'(X2, X3)
9.14/9.41	       | 'const/sets/IN'(X2, 
9.14/9.41	           sk_A4(X0, X2, 'type/realax/real', X3, X4, X1, 
9.14/9.41	             'const/realax/real_add'), X3)),
9.14/9.41	    inference('demod', [status(thm)], ['17', '1', '4'])).
9.14/9.41	tff('19', plain,
9.14/9.41	    ![X0 : $tType, X1 : X0 > 'type/realax/real', X2 : $tType, X3 : X2 > $o, 
9.14/9.41	      X4 : X2 > X0]:
9.14/9.41	      ('const/sets/IN'(X2, 
9.14/9.41	         sk_A4(X0, X2, 'type/realax/real', X3, X4, X1, 
9.14/9.41	           'const/realax/real_add'), X3)
9.14/9.41	       | ~ 'const/sets/FINITE'(X2, X3)
9.14/9.41	       | 'const/iterate/sum'(X0, 'const/sets/IMAGE'(X2, X0, X4, X3), X1)
9.14/9.41	          = 'const/iterate/sum'(X2, X3, 
9.14/9.41	              'const/trivia/o'(X0, X2, 'type/realax/real', X1, X4))),
9.14/9.41	    inference('simplify', [status(thm)], ['18'])).
9.14/9.41	tff('20', plain,
9.14/9.41	    ![X8 : sk_A, X9 : sk_A]:
9.14/9.41	      (sk_A0(sk_A1(X8))
9.14/9.41	        = 'const/realax/real_of_num'('const/nums/NUMERAL'('const/nums/_0'))
9.14/9.41	       | ~ 'const/sets/IN'(sk_A, X8, sk_A2)
9.14/9.41	       | sk_A1(X8) != sk_A1(X9)
9.14/9.41	       | X8 = X9
9.14/9.41	       | ~ 'const/sets/IN'(sk_A, X9, sk_A2)),
9.14/9.41	    inference('cnf', [status(esa)], [zf_stmt_0])).
9.14/9.41	tff('thm/iterate/NEUTRAL_REAL_ADD_', axiom,
9.14/9.41	  ('const/iterate/neutral'('type/realax/real','const/realax/real_add') =
9.14/9.41	   'const/realax/real_of_num'('const/nums/NUMERAL'('const/nums/_0')))).
9.14/9.41	tff('21', plain,
9.14/9.41	    'const/iterate/neutral'('type/realax/real', 'const/realax/real_add')
9.14/9.41	     = 'const/realax/real_of_num'('const/nums/NUMERAL'('const/nums/_0')),
9.14/9.41	    inference('cnf', [status(esa)], [thm/iterate/NEUTRAL_REAL_ADD_])).
9.14/9.41	tff('22', plain,
9.14/9.41	    ![X8 : sk_A, X9 : sk_A]:
9.14/9.41	      (sk_A0(sk_A1(X8))
9.14/9.41	        = 'const/iterate/neutral'('type/realax/real', 
9.14/9.41	            'const/realax/real_add')
9.14/9.41	       | ~ 'const/sets/IN'(sk_A, X8, sk_A2)
9.14/9.41	       | sk_A1(X8) != sk_A1(X9)
9.14/9.41	       | X8 = X9
9.14/9.41	       | ~ 'const/sets/IN'(sk_A, X9, sk_A2)),
9.14/9.41	    inference('demod', [status(thm)], ['20', '21'])).
9.14/9.41	tff('23', plain,
9.14/9.41	    ![X0 : $tType, X1 : X0 > 'type/realax/real', X2 : sk_A > X0, X3 : sk_A]:
9.14/9.41	      (~ $true
9.14/9.41	       | 'const/iterate/sum'(X0, 'const/sets/IMAGE'(sk_A, X0, X2, sk_A2), X1)
9.14/9.41	          = 'const/iterate/sum'(sk_A, sk_A2, 
9.14/9.41	              'const/trivia/o'(X0, sk_A, 'type/realax/real', X1, X2))
9.14/9.41	       | ~ 'const/sets/FINITE'(sk_A, sk_A2)
9.14/9.41	       | ~ 'const/sets/IN'(sk_A, X3, sk_A2)
9.14/9.41	       | sk_A4(X0, sk_A, 'type/realax/real', sk_A2, X2, X1, 
9.14/9.41	           'const/realax/real_add')
9.14/9.41	          = X3
9.14/9.41	       | sk_A1(
9.14/9.41	           sk_A4(X0, sk_A, 'type/realax/real', sk_A2, X2, X1, 
9.14/9.41	             'const/realax/real_add'))
9.14/9.41	          != sk_A1(X3)
9.14/9.41	       | sk_A0(
9.14/9.41	           sk_A1(
9.14/9.41	             sk_A4(X0, sk_A, 'type/realax/real', sk_A2, X2, X1, 
9.14/9.41	               'const/realax/real_add')))
9.14/9.41	          = 'const/iterate/neutral'('type/realax/real', 
9.14/9.41	              'const/realax/real_add')),
9.14/9.41	    inference('sup-', [status(thm)], ['19', '22'])).
9.14/9.41	tff('24', plain,
9.14/9.41	    ![X0 : $tType, X1 : X0 > 'type/realax/real', X2 : sk_A > X0, X3 : sk_A]:
9.14/9.41	      (~ $true
9.14/9.41	       | 'const/iterate/sum'(X0, 'const/sets/IMAGE'(sk_A, X0, X2, sk_A2), X1)
9.14/9.41	          = 'const/iterate/sum'(sk_A, sk_A2, 
9.14/9.41	              'const/trivia/o'(X0, sk_A, 'type/realax/real', X1, X2))
9.14/9.41	       | ~ $true
9.14/9.41	       | ~ 'const/sets/IN'(sk_A, X3, sk_A2)
9.14/9.41	       | sk_A4(X0, sk_A, 'type/realax/real', sk_A2, X2, X1, 
9.14/9.41	           'const/realax/real_add')
9.14/9.41	          = X3
9.14/9.41	       | sk_A1(
9.14/9.41	           sk_A4(X0, sk_A, 'type/realax/real', sk_A2, X2, X1, 
9.14/9.41	             'const/realax/real_add'))
9.14/9.41	          != sk_A1(X3)
9.14/9.41	       | sk_A0(
9.14/9.41	           sk_A1(
9.14/9.41	             sk_A4(X0, sk_A, 'type/realax/real', sk_A2, X2, X1, 
9.14/9.41	               'const/realax/real_add')))
9.14/9.41	          = 'const/iterate/neutral'('type/realax/real', 
9.14/9.41	              'const/realax/real_add')),
9.14/9.41	    inference('demod', [status(thm)], ['23', '13'])).
9.14/9.41	tff('25', plain,
9.14/9.41	    ![X0 : $tType, X1 : X0 > 'type/realax/real', X2 : sk_A > X0, X3 : sk_A]:
9.14/9.41	      (sk_A0(
9.14/9.41	         sk_A1(
9.14/9.41	           sk_A4(X0, sk_A, 'type/realax/real', sk_A2, X2, X1, 
9.14/9.41	             'const/realax/real_add')))
9.14/9.41	        = 'const/iterate/neutral'('type/realax/real', 
9.14/9.41	            'const/realax/real_add')
9.14/9.41	       | sk_A1(
9.14/9.41	           sk_A4(X0, sk_A, 'type/realax/real', sk_A2, X2, X1, 
9.14/9.41	             'const/realax/real_add'))
9.14/9.41	          != sk_A1(X3)
9.14/9.41	       | sk_A4(X0, sk_A, 'type/realax/real', sk_A2, X2, X1, 
9.14/9.41	           'const/realax/real_add')
9.14/9.41	          = X3
9.14/9.41	       | ~ 'const/sets/IN'(sk_A, X3, sk_A2)
9.14/9.41	       | 'const/iterate/sum'(X0, 'const/sets/IMAGE'(sk_A, X0, X2, sk_A2), X1)
9.14/9.41	          = 'const/iterate/sum'(sk_A, sk_A2, 
9.14/9.41	              'const/trivia/o'(X0, sk_A, 'type/realax/real', X1, X2))),
9.14/9.41	    inference('simplify', [status(thm)], ['24'])).
9.14/9.41	tff('26', plain,
9.14/9.41	    ![X0 : $tType, X1 : X0 > 'type/realax/real', X2 : sk_A > X0, 
9.14/9.41	      X3 : $tType, X4 : X3 > 'type/realax/real', X5 : sk_A > X3]:
9.14/9.41	      (~ $true
9.14/9.41	       | 'const/iterate/sum'(X0, 'const/sets/IMAGE'(sk_A, X0, X2, sk_A2), X1)
9.14/9.41	          = 'const/iterate/sum'(sk_A, sk_A2, 
9.14/9.41	              'const/trivia/o'(X0, sk_A, 'type/realax/real', X1, X2))
9.14/9.41	       | ~ 'const/sets/FINITE'(sk_A, sk_A2)
9.14/9.41	       | 'const/iterate/sum'(X3, 'const/sets/IMAGE'(sk_A, X3, X5, sk_A2), X4)
9.14/9.41	          = 'const/iterate/sum'(sk_A, sk_A2, 
9.14/9.41	              'const/trivia/o'(X3, sk_A, 'type/realax/real', X4, X5))
9.14/9.41	       | sk_A4(X3, sk_A, 'type/realax/real', sk_A2, X5, X4, 
9.14/9.41	           'const/realax/real_add')
9.14/9.41	          = sk_A4(X0, sk_A, 'type/realax/real', sk_A2, X2, X1, 
9.14/9.41	              'const/realax/real_add')
9.14/9.41	       | sk_A1(
9.14/9.41	           sk_A4(X3, sk_A, 'type/realax/real', sk_A2, X5, X4, 
9.14/9.41	             'const/realax/real_add'))
9.14/9.41	          != sk_A1(
9.14/9.41	               sk_A4(X0, sk_A, 'type/realax/real', sk_A2, X2, X1, 
9.14/9.41	                 'const/realax/real_add'))
9.14/9.41	       | sk_A0(
9.14/9.41	           sk_A1(
9.14/9.41	             sk_A4(X3, sk_A, 'type/realax/real', sk_A2, X5, X4, 
9.14/9.41	               'const/realax/real_add')))
9.14/9.41	          = 'const/iterate/neutral'('type/realax/real', 
9.14/9.41	              'const/realax/real_add')),
9.14/9.41	    inference('sup-', [status(thm)], ['19', '25'])).
9.14/9.41	tff('27', plain,
9.14/9.41	    ![X0 : $tType, X1 : X0 > 'type/realax/real', X2 : sk_A > X0, 
9.14/9.41	      X3 : $tType, X4 : X3 > 'type/realax/real', X5 : sk_A > X3]:
9.14/9.41	      (~ $true
9.14/9.41	       | 'const/iterate/sum'(X0, 'const/sets/IMAGE'(sk_A, X0, X2, sk_A2), X1)
9.14/9.41	          = 'const/iterate/sum'(sk_A, sk_A2, 
9.14/9.41	              'const/trivia/o'(X0, sk_A, 'type/realax/real', X1, X2))
9.14/9.41	       | ~ $true
9.14/9.41	       | 'const/iterate/sum'(X3, 'const/sets/IMAGE'(sk_A, X3, X5, sk_A2), X4)
9.14/9.41	          = 'const/iterate/sum'(sk_A, sk_A2, 
9.14/9.41	              'const/trivia/o'(X3, sk_A, 'type/realax/real', X4, X5))
9.14/9.41	       | sk_A4(X3, sk_A, 'type/realax/real', sk_A2, X5, X4, 
9.14/9.41	           'const/realax/real_add')
9.14/9.41	          = sk_A4(X0, sk_A, 'type/realax/real', sk_A2, X2, X1, 
9.14/9.41	              'const/realax/real_add')
9.14/9.41	       | sk_A1(
9.14/9.41	           sk_A4(X3, sk_A, 'type/realax/real', sk_A2, X5, X4, 
9.14/9.41	             'const/realax/real_add'))
9.14/9.41	          != sk_A1(
9.14/9.41	               sk_A4(X0, sk_A, 'type/realax/real', sk_A2, X2, X1, 
9.14/9.41	                 'const/realax/real_add'))
9.14/9.41	       | sk_A0(
9.14/9.41	           sk_A1(
9.14/9.41	             sk_A4(X3, sk_A, 'type/realax/real', sk_A2, X5, X4, 
9.14/9.41	               'const/realax/real_add')))
9.14/9.41	          = 'const/iterate/neutral'('type/realax/real', 
9.14/9.41	              'const/realax/real_add')),
9.14/9.41	    inference('demod', [status(thm)], ['26', '13'])).
9.14/9.41	tff('28', plain,
9.14/9.41	    ![X0 : $tType, X1 : X0 > 'type/realax/real', X2 : sk_A > X0, 
9.14/9.41	      X3 : $tType, X4 : X3 > 'type/realax/real', X5 : sk_A > X3]:
9.14/9.41	      (sk_A0(
9.14/9.41	         sk_A1(
9.14/9.41	           sk_A4(X3, sk_A, 'type/realax/real', sk_A2, X5, X4, 
9.14/9.41	             'const/realax/real_add')))
9.14/9.41	        = 'const/iterate/neutral'('type/realax/real', 
9.14/9.41	            'const/realax/real_add')
9.14/9.41	       | sk_A1(
9.14/9.41	           sk_A4(X3, sk_A, 'type/realax/real', sk_A2, X5, X4, 
9.14/9.41	             'const/realax/real_add'))
9.14/9.41	          != sk_A1(
9.14/9.41	               sk_A4(X0, sk_A, 'type/realax/real', sk_A2, X2, X1, 
9.14/9.41	                 'const/realax/real_add'))
9.14/9.41	       | sk_A4(X3, sk_A, 'type/realax/real', sk_A2, X5, X4, 
9.14/9.41	           'const/realax/real_add')
9.14/9.41	          = sk_A4(X0, sk_A, 'type/realax/real', sk_A2, X2, X1, 
9.14/9.41	              'const/realax/real_add')
9.14/9.41	       | 'const/iterate/sum'(X3, 'const/sets/IMAGE'(sk_A, X3, X5, sk_A2), X4)
9.14/9.41	          = 'const/iterate/sum'(sk_A, sk_A2, 
9.14/9.41	              'const/trivia/o'(X3, sk_A, 'type/realax/real', X4, X5))
9.14/9.41	       | 'const/iterate/sum'(X0, 'const/sets/IMAGE'(sk_A, X0, X2, sk_A2), X1)
9.14/9.41	          = 'const/iterate/sum'(sk_A, sk_A2, 
9.14/9.41	              'const/trivia/o'(X0, sk_A, 'type/realax/real', X1, X2))),
9.14/9.41	    inference('simplify', [status(thm)], ['27'])).
9.14/9.41	tff('29', plain,
9.14/9.41	    ![X0 : $tType, X1 : (X0 * X0) > X0, X2 : $tType, X3 : X2 > X0, 
9.14/9.41	      X4 : $tType, X5 : X4 > X2, X6 : X4 > $o]:
9.14/9.41	      (X3(X5(sk_A4(X2, X4, X0, X6, X5, X3, X1)))
9.14/9.41	        != 'const/iterate/neutral'(X0, X1)
9.14/9.41	       | ~ 'const/sets/FINITE'(X4, X6)
9.14/9.41	       | 'const/iterate/iterate'(X2, X0, X1, 
9.14/9.41	           'const/sets/IMAGE'(X4, X2, X5, X6), X3)
9.14/9.41	          = 'const/iterate/iterate'(X4, X0, X1, X6, 
9.14/9.41	              'const/trivia/o'(X2, X4, X0, X3, X5))
9.14/9.41	       | ~ 'const/iterate/monoidal'(X0, X1)),
9.14/9.41	    inference('cnf', [status(esa)], [thm/iterate/ITERATE_IMAGE_NONZERO_])).
9.14/9.41	tff('30', plain,
9.14/9.41	    ![X0 : $tType, X1 : X0 > 'type/realax/real', X2 : $tType, X3 : X2 > $o, 
9.14/9.41	      X4 : X2 > X0]:
9.14/9.41	      ('const/iterate/sum'(X0, 'const/sets/IMAGE'(X2, X0, X4, X3), X1)
9.14/9.41	        = 'const/iterate/iterate'(X2, 'type/realax/real', 
9.14/9.41	            'const/realax/real_add', X3, 
9.14/9.41	            'const/trivia/o'(X0, X2, 'type/realax/real', X1, X4))
9.14/9.41	       | ~ 'const/iterate/monoidal'('type/realax/real', 
9.14/9.41	             'const/realax/real_add')
9.14/9.41	       | ~ 'const/sets/FINITE'(X2, X3)
9.14/9.41	       | X1(
9.14/9.41	           X4(
9.14/9.41	             sk_A4(X0, X2, 'type/realax/real', X3, X4, X1, 
9.14/9.41	               'const/realax/real_add')))
9.14/9.41	          != 'const/iterate/neutral'('type/realax/real', 
9.14/9.41	               'const/realax/real_add')),
9.14/9.41	    inference('sup+', [status(thm)], ['1', '29'])).
9.14/9.41	tff('31', plain,
9.14/9.41	    ![X0 : $tType, X1 : X0 > 'type/realax/real', X2 : $tType, X3 : X2 > $o, 
9.14/9.41	      X4 : X2 > X0]:
9.14/9.41	      ('const/iterate/sum'(X0, 'const/sets/IMAGE'(X2, X0, X4, X3), X1)
9.14/9.41	        = 'const/iterate/sum'(X2, X3, 
9.14/9.41	            'const/trivia/o'(X0, X2, 'type/realax/real', X1, X4))
9.14/9.41	       | ~ $true
9.14/9.41	       | ~ 'const/sets/FINITE'(X2, X3)
9.14/9.41	       | X1(
9.14/9.41	           X4(
9.14/9.41	             sk_A4(X0, X2, 'type/realax/real', X3, X4, X1, 
9.14/9.41	               'const/realax/real_add')))
9.14/9.41	          != 'const/iterate/neutral'('type/realax/real', 
9.14/9.41	               'const/realax/real_add')),
9.14/9.41	    inference('demod', [status(thm)], ['30', '1', '4'])).
9.14/9.41	tff('32', plain,
9.14/9.41	    ![X0 : $tType, X1 : X0 > 'type/realax/real', X2 : $tType, X3 : X2 > $o, 
9.14/9.41	      X4 : X2 > X0]:
9.14/9.41	      (X1(
9.14/9.41	         X4(
9.14/9.41	           sk_A4(X0, X2, 'type/realax/real', X3, X4, X1, 
9.14/9.41	             'const/realax/real_add')))
9.14/9.41	        != 'const/iterate/neutral'('type/realax/real', 
9.14/9.41	             'const/realax/real_add')
9.14/9.41	       | ~ 'const/sets/FINITE'(X2, X3)
9.14/9.41	       | 'const/iterate/sum'(X0, 'const/sets/IMAGE'(X2, X0, X4, X3), X1)
9.14/9.41	          = 'const/iterate/sum'(X2, X3, 
9.14/9.41	              'const/trivia/o'(X0, X2, 'type/realax/real', X1, X4))),
9.14/9.41	    inference('simplify', [status(thm)], ['31'])).
9.14/9.41	tff('33', plain,
9.14/9.41	    ![X0 : $tType, X1 : X0 > 'type/realax/real', X2 : sk_A > X0]:
9.14/9.41	      ('const/iterate/neutral'('type/realax/real', 'const/realax/real_add')
9.14/9.41	        != 'const/iterate/neutral'('type/realax/real', 
9.14/9.41	             'const/realax/real_add')
9.14/9.41	       | 'const/iterate/sum'(X0, 'const/sets/IMAGE'(sk_A, X0, X2, sk_A2), X1)
9.14/9.41	          = 'const/iterate/sum'(sk_A, sk_A2, 
9.14/9.41	              'const/trivia/o'(X0, sk_A, 'type/realax/real', X1, X2))
9.14/9.41	       | 'const/iterate/sum'(sk_B, 
9.14/9.41	           'const/sets/IMAGE'(sk_A, sk_B, sk_A1, sk_A2), sk_A0)
9.14/9.41	          = 'const/iterate/sum'(sk_A, sk_A2, 
9.14/9.41	              'const/trivia/o'(sk_B, sk_A, 'type/realax/real', sk_A0, sk_A1))
9.14/9.41	       | sk_A4(sk_B, sk_A, 'type/realax/real', sk_A2, sk_A1, sk_A0, 
9.14/9.41	           'const/realax/real_add')
9.14/9.41	          = sk_A4(X0, sk_A, 'type/realax/real', sk_A2, X2, X1, 
9.14/9.41	              'const/realax/real_add')
9.14/9.41	       | sk_A1(
9.14/9.41	           sk_A4(sk_B, sk_A, 'type/realax/real', sk_A2, sk_A1, sk_A0, 
9.14/9.41	             'const/realax/real_add'))
9.14/9.41	          != sk_A1(
9.14/9.41	               sk_A4(X0, sk_A, 'type/realax/real', sk_A2, X2, X1, 
9.14/9.41	                 'const/realax/real_add'))
9.14/9.41	       | 'const/iterate/sum'(sk_B, 
9.14/9.41	           'const/sets/IMAGE'(sk_A, sk_B, sk_A1, sk_A2), sk_A0)
9.14/9.41	          = 'const/iterate/sum'(sk_A, sk_A2, 
9.14/9.41	              'const/trivia/o'(sk_B, sk_A, 'type/realax/real', sk_A0, sk_A1))
9.14/9.41	       | ~ 'const/sets/FINITE'(sk_A, sk_A2)),
9.14/9.41	    inference('sup-', [status(thm)], ['28', '32'])).
9.14/9.41	tff('34', plain,
9.14/9.41	    ![X0 : $tType, X1 : X0 > 'type/realax/real', X2 : sk_A > X0]:
9.14/9.41	      ('const/iterate/neutral'('type/realax/real', 'const/realax/real_add')
9.14/9.41	        != 'const/iterate/neutral'('type/realax/real', 
9.14/9.41	             'const/realax/real_add')
9.14/9.41	       | 'const/iterate/sum'(X0, 'const/sets/IMAGE'(sk_A, X0, X2, sk_A2), X1)
9.14/9.41	          = 'const/iterate/sum'(sk_A, sk_A2, 
9.14/9.41	              'const/trivia/o'(X0, sk_A, 'type/realax/real', X1, X2))
9.14/9.41	       | 'const/iterate/sum'(sk_B, 
9.14/9.41	           'const/sets/IMAGE'(sk_A, sk_B, sk_A1, sk_A2), sk_A0)
9.14/9.41	          = 'const/iterate/sum'(sk_A, sk_A2, 
9.14/9.41	              'const/trivia/o'(sk_B, sk_A, 'type/realax/real', sk_A0, sk_A1))
9.14/9.41	       | sk_A4(sk_B, sk_A, 'type/realax/real', sk_A2, sk_A1, sk_A0, 
9.14/9.41	           'const/realax/real_add')
9.14/9.41	          = sk_A4(X0, sk_A, 'type/realax/real', sk_A2, X2, X1, 
9.14/9.41	              'const/realax/real_add')
9.14/9.41	       | sk_A1(
9.14/9.41	           sk_A4(sk_B, sk_A, 'type/realax/real', sk_A2, sk_A1, sk_A0, 
9.14/9.41	             'const/realax/real_add'))
9.14/9.41	          != sk_A1(
9.14/9.41	               sk_A4(X0, sk_A, 'type/realax/real', sk_A2, X2, X1, 
9.14/9.41	                 'const/realax/real_add'))
9.14/9.41	       | 'const/iterate/sum'(sk_B, 
9.14/9.41	           'const/sets/IMAGE'(sk_A, sk_B, sk_A1, sk_A2), sk_A0)
9.14/9.41	          = 'const/iterate/sum'(sk_A, sk_A2, 
9.14/9.41	              'const/trivia/o'(sk_B, sk_A, 'type/realax/real', sk_A0, sk_A1))
9.14/9.41	       | ~ $true),
9.14/9.41	    inference('demod', [status(thm)], ['33', '13'])).
9.14/9.41	tff('35', plain,
9.14/9.41	    ![X0 : $tType, X1 : X0 > 'type/realax/real', X2 : sk_A > X0]:
9.14/9.41	      (sk_A1(
9.14/9.41	         sk_A4(sk_B, sk_A, 'type/realax/real', sk_A2, sk_A1, sk_A0, 
9.14/9.41	           'const/realax/real_add'))
9.14/9.41	        != sk_A1(
9.14/9.41	             sk_A4(X0, sk_A, 'type/realax/real', sk_A2, X2, X1, 
9.14/9.41	               'const/realax/real_add'))
9.14/9.41	       | sk_A4(sk_B, sk_A, 'type/realax/real', sk_A2, sk_A1, sk_A0, 
9.14/9.41	           'const/realax/real_add')
9.14/9.41	          = sk_A4(X0, sk_A, 'type/realax/real', sk_A2, X2, X1, 
9.14/9.41	              'const/realax/real_add')
9.14/9.41	       | 'const/iterate/sum'(sk_B, 
9.14/9.41	           'const/sets/IMAGE'(sk_A, sk_B, sk_A1, sk_A2), sk_A0)
9.14/9.41	          = 'const/iterate/sum'(sk_A, sk_A2, 
9.14/9.41	              'const/trivia/o'(sk_B, sk_A, 'type/realax/real', sk_A0, sk_A1))
9.14/9.41	       | 'const/iterate/sum'(X0, 'const/sets/IMAGE'(sk_A, X0, X2, sk_A2), X1)
9.14/9.41	          = 'const/iterate/sum'(sk_A, sk_A2, 
9.14/9.41	              'const/trivia/o'(X0, sk_A, 'type/realax/real', X1, X2))),
9.14/9.41	    inference('simplify', [status(thm)], ['34'])).
9.14/9.41	tff('36', plain,
9.14/9.41	    ![X0 : $tType, X1 : X0 > 'type/realax/real', X2 : sk_A > X0]:
9.14/9.41	      (sk_A1(
9.14/9.41	         sk_A4(sk_B, sk_A, 'type/realax/real', sk_A2, sk_A1, sk_A0, 
9.14/9.41	           'const/realax/real_add'))
9.14/9.41	        != sk_A1(
9.14/9.41	             sk_A4(X0, sk_A, 'type/realax/real', sk_A2, X2, X1, 
9.14/9.41	               'const/realax/real_add'))
9.14/9.41	       | sk_A4(sk_B, sk_A, 'type/realax/real', sk_A2, sk_A1, sk_A0, 
9.14/9.41	           'const/realax/real_add')
9.14/9.41	          = sk_A4(X0, sk_A, 'type/realax/real', sk_A2, X2, X1, 
9.14/9.41	              'const/realax/real_add')
9.14/9.41	       | 'const/iterate/sum'(X0, 'const/sets/IMAGE'(sk_A, X0, X2, sk_A2), X1)
9.14/9.41	          = 'const/iterate/sum'(sk_A, sk_A2, 
9.14/9.41	              'const/trivia/o'(X0, sk_A, 'type/realax/real', X1, X2))),
9.14/9.41	    inference('simplify_reflect-', [status(thm)], ['35', '11'])).
9.14/9.41	tff('37', plain,
9.14/9.41	    ![X0 : $tType, X1 : X0 > 'type/realax/real', X2 : sk_A > X0]:
9.14/9.41	      ('const/sets/IN'(sk_A, 
9.14/9.41	         sk_A4(sk_B, sk_A, 'type/realax/real', sk_A2, sk_A1, sk_A0, 
9.14/9.41	           'const/realax/real_add'), sk_A2)
9.14/9.41	       | 'const/iterate/sum'(X0, 'const/sets/IMAGE'(sk_A, X0, X2, sk_A2), X1)
9.14/9.41	          = 'const/iterate/sum'(sk_A, sk_A2, 
9.14/9.41	              'const/trivia/o'(X0, sk_A, 'type/realax/real', X1, X2))
9.14/9.41	       | sk_A1(
9.14/9.41	           sk_A4(sk_B, sk_A, 'type/realax/real', sk_A2, sk_A1, sk_A0, 
9.14/9.41	             'const/realax/real_add'))
9.14/9.41	          != sk_A1(
9.14/9.41	               sk_A4(X0, sk_A, 'type/realax/real', sk_A2, X2, X1, 
9.14/9.41	                 'const/realax/real_add'))
9.14/9.41	       | 'const/iterate/sum'(X0, 'const/sets/IMAGE'(sk_A, X0, X2, sk_A2), X1)
9.14/9.41	          = 'const/iterate/sum'(sk_A, sk_A2, 
9.14/9.41	              'const/trivia/o'(X0, sk_A, 'type/realax/real', X1, X2))
9.14/9.41	       | ~ 'const/sets/FINITE'(sk_A, sk_A2)),
9.14/9.41	    inference('sup+', [status(thm)], ['36', '19'])).
9.14/9.41	tff('38', plain,
9.14/9.41	    ![X0 : $tType, X1 : X0 > 'type/realax/real', X2 : sk_A > X0]:
9.14/9.41	      ('const/sets/IN'(sk_A, 
9.14/9.41	         sk_A4(sk_B, sk_A, 'type/realax/real', sk_A2, sk_A1, sk_A0, 
9.14/9.41	           'const/realax/real_add'), sk_A2)
9.14/9.41	       | 'const/iterate/sum'(X0, 'const/sets/IMAGE'(sk_A, X0, X2, sk_A2), X1)
9.14/9.41	          = 'const/iterate/sum'(sk_A, sk_A2, 
9.14/9.41	              'const/trivia/o'(X0, sk_A, 'type/realax/real', X1, X2))
9.14/9.41	       | sk_A1(
9.14/9.41	           sk_A4(sk_B, sk_A, 'type/realax/real', sk_A2, sk_A1, sk_A0, 
9.14/9.41	             'const/realax/real_add'))
9.14/9.41	          != sk_A1(
9.14/9.41	               sk_A4(X0, sk_A, 'type/realax/real', sk_A2, X2, X1, 
9.14/9.41	                 'const/realax/real_add'))
9.14/9.41	       | 'const/iterate/sum'(X0, 'const/sets/IMAGE'(sk_A, X0, X2, sk_A2), X1)
9.14/9.41	          = 'const/iterate/sum'(sk_A, sk_A2, 
9.14/9.41	              'const/trivia/o'(X0, sk_A, 'type/realax/real', X1, X2))
9.14/9.41	       | ~ $true),
9.14/9.41	    inference('demod', [status(thm)], ['37', '13'])).
9.14/9.41	tff('39', plain,
9.14/9.41	    ![X0 : $tType, X1 : X0 > 'type/realax/real', X2 : sk_A > X0]:
9.14/9.41	      (sk_A1(
9.14/9.41	         sk_A4(sk_B, sk_A, 'type/realax/real', sk_A2, sk_A1, sk_A0, 
9.14/9.41	           'const/realax/real_add'))
9.14/9.41	        != sk_A1(
9.14/9.41	             sk_A4(X0, sk_A, 'type/realax/real', sk_A2, X2, X1, 
9.14/9.41	               'const/realax/real_add'))
9.14/9.41	       | 'const/iterate/sum'(X0, 'const/sets/IMAGE'(sk_A, X0, X2, sk_A2), X1)
9.14/9.41	          = 'const/iterate/sum'(sk_A, sk_A2, 
9.14/9.41	              'const/trivia/o'(X0, sk_A, 'type/realax/real', X1, X2))
9.14/9.41	       | 'const/sets/IN'(sk_A, 
9.14/9.41	           sk_A4(sk_B, sk_A, 'type/realax/real', sk_A2, sk_A1, sk_A0, 
9.14/9.41	             'const/realax/real_add'), sk_A2)),
9.14/9.41	    inference('simplify', [status(thm)], ['38'])).
9.14/9.41	tff('40', plain,
9.14/9.41	    ('const/sets/IN'(sk_A, 
9.14/9.41	       sk_A4(sk_B, sk_A, 'type/realax/real', sk_A2, sk_A1, sk_A0, 
9.14/9.41	         'const/realax/real_add'), sk_A2)
9.14/9.41	     | 'const/iterate/sum'(sk_B, 
9.14/9.41	         'const/sets/IMAGE'(sk_A, sk_B, sk_A1, sk_A2), sk_A0)
9.14/9.41	        = 'const/iterate/sum'(sk_A, sk_A2, 
9.14/9.41	            'const/trivia/o'(sk_B, sk_A, 'type/realax/real', sk_A0, sk_A1))),
9.14/9.41	    inference('eq_res', [status(thm)], ['39'])).
9.14/9.41	tff('41', plain,
9.14/9.41	    'const/sets/IN'(sk_A, 
9.14/9.41	      sk_A4(sk_B, sk_A, 'type/realax/real', sk_A2, sk_A1, sk_A0, 
9.14/9.41	        'const/realax/real_add'), sk_A2),
9.14/9.41	    inference('simplify_reflect-', [status(thm)], ['40', '11'])).
9.14/9.41	tff('42', plain,
9.14/9.41	    ![X0 : sk_A]:
9.14/9.41	      (~ $true
9.14/9.41	       | ~ 'const/sets/IN'(sk_A, X0, sk_A2)
9.14/9.41	       | sk_A4(sk_B, sk_A, 'type/realax/real', sk_A2, sk_A1, sk_A0, 
9.14/9.41	           'const/realax/real_add')
9.14/9.41	          = X0
9.14/9.41	       | sk_A1(
9.14/9.41	           sk_A4(sk_B, sk_A, 'type/realax/real', sk_A2, sk_A1, sk_A0, 
9.14/9.41	             'const/realax/real_add'))
9.14/9.41	          != sk_A1(X0)
9.14/9.41	       | sk_A0(
9.14/9.41	           sk_A1(
9.14/9.41	             sk_A4(sk_B, sk_A, 'type/realax/real', sk_A2, sk_A1, sk_A0, 
9.14/9.41	               'const/realax/real_add')))
9.14/9.41	          = 'const/iterate/neutral'('type/realax/real', 
9.14/9.41	              'const/realax/real_add')),
9.14/9.41	    inference('sup-', [status(thm)], ['41', '22'])).
9.14/9.41	tff('43', plain,
9.14/9.41	    ![X0 : sk_A]:
9.14/9.41	      (sk_A0(
9.14/9.41	         sk_A1(
9.14/9.41	           sk_A4(sk_B, sk_A, 'type/realax/real', sk_A2, sk_A1, sk_A0, 
9.14/9.41	             'const/realax/real_add')))
9.14/9.41	        = 'const/iterate/neutral'('type/realax/real', 
9.14/9.41	            'const/realax/real_add')
9.14/9.41	       | sk_A1(
9.14/9.41	           sk_A4(sk_B, sk_A, 'type/realax/real', sk_A2, sk_A1, sk_A0, 
9.14/9.41	             'const/realax/real_add'))
9.14/9.41	          != sk_A1(X0)
9.14/9.41	       | sk_A4(sk_B, sk_A, 'type/realax/real', sk_A2, sk_A1, sk_A0, 
9.14/9.41	           'const/realax/real_add')
9.14/9.41	          = X0
9.14/9.41	       | ~ 'const/sets/IN'(sk_A, X0, sk_A2)),
9.14/9.41	    inference('simplify', [status(thm)], ['42'])).
9.14/9.41	tff('44', plain,
9.14/9.41	    ![X0 : $tType, X1 : X0 > 'type/realax/real', X2 : sk_A > X0]:
9.14/9.41	      (sk_A0(
9.14/9.41	         sk_A1(
9.14/9.41	           sk_A4(X0, sk_A, 'type/realax/real', sk_A2, X2, X1, 
9.14/9.41	             'const/realax/real_add')))
9.14/9.41	        != 'const/iterate/neutral'('type/realax/real', 
9.14/9.41	             'const/realax/real_add')
9.14/9.41	       | 'const/iterate/sum'(X0, 'const/sets/IMAGE'(sk_A, X0, X2, sk_A2), X1)
9.14/9.41	          = 'const/iterate/sum'(sk_A, sk_A2, 
9.14/9.41	              'const/trivia/o'(X0, sk_A, 'type/realax/real', X1, X2))
9.14/9.41	       | sk_A1(
9.14/9.41	           sk_A4(sk_B, sk_A, 'type/realax/real', sk_A2, sk_A1, sk_A0, 
9.14/9.41	             'const/realax/real_add'))
9.14/9.41	          != sk_A1(
9.14/9.41	               sk_A4(X0, sk_A, 'type/realax/real', sk_A2, X2, X1, 
9.14/9.41	                 'const/realax/real_add'))
9.14/9.41	       | 'const/iterate/sum'(sk_B, 
9.14/9.41	           'const/sets/IMAGE'(sk_A, sk_B, sk_A1, sk_A2), sk_A0)
9.14/9.41	          = 'const/iterate/sum'(sk_A, sk_A2, 
9.14/9.41	              'const/trivia/o'(sk_B, sk_A, 'type/realax/real', sk_A0, sk_A1))
9.14/9.41	       | ~ 'const/sets/FINITE'(sk_A, sk_A2)),
9.14/9.41	    inference('sup-', [status(thm)], ['36', '32'])).
9.14/9.41	tff('45', plain,
9.14/9.41	    ![X0 : $tType, X1 : X0 > 'type/realax/real', X2 : sk_A > X0]:
9.14/9.41	      (sk_A0(
9.14/9.41	         sk_A1(
9.14/9.41	           sk_A4(X0, sk_A, 'type/realax/real', sk_A2, X2, X1, 
9.14/9.41	             'const/realax/real_add')))
9.14/9.41	        != 'const/iterate/neutral'('type/realax/real', 
9.14/9.41	             'const/realax/real_add')
9.14/9.41	       | 'const/iterate/sum'(X0, 'const/sets/IMAGE'(sk_A, X0, X2, sk_A2), X1)
9.14/9.41	          = 'const/iterate/sum'(sk_A, sk_A2, 
9.14/9.41	              'const/trivia/o'(X0, sk_A, 'type/realax/real', X1, X2))
9.14/9.41	       | sk_A1(
9.14/9.41	           sk_A4(sk_B, sk_A, 'type/realax/real', sk_A2, sk_A1, sk_A0, 
9.14/9.41	             'const/realax/real_add'))
9.14/9.41	          != sk_A1(
9.14/9.41	               sk_A4(X0, sk_A, 'type/realax/real', sk_A2, X2, X1, 
9.14/9.41	                 'const/realax/real_add'))
9.14/9.41	       | 'const/iterate/sum'(sk_B, 
9.14/9.41	           'const/sets/IMAGE'(sk_A, sk_B, sk_A1, sk_A2), sk_A0)
9.14/9.41	          = 'const/iterate/sum'(sk_A, sk_A2, 
9.14/9.41	              'const/trivia/o'(sk_B, sk_A, 'type/realax/real', sk_A0, sk_A1))
9.14/9.41	       | ~ $true),
9.14/9.41	    inference('demod', [status(thm)], ['44', '13'])).
9.14/9.41	tff('46', plain,
9.14/9.41	    ![X0 : $tType, X1 : X0 > 'type/realax/real', X2 : sk_A > X0]:
9.14/9.41	      ('const/iterate/sum'(sk_B, 
9.14/9.41	         'const/sets/IMAGE'(sk_A, sk_B, sk_A1, sk_A2), sk_A0)
9.14/9.41	        = 'const/iterate/sum'(sk_A, sk_A2, 
9.14/9.41	            'const/trivia/o'(sk_B, sk_A, 'type/realax/real', sk_A0, sk_A1))
9.14/9.41	       | sk_A1(
9.14/9.41	           sk_A4(sk_B, sk_A, 'type/realax/real', sk_A2, sk_A1, sk_A0, 
9.14/9.41	             'const/realax/real_add'))
9.14/9.41	          != sk_A1(
9.14/9.41	               sk_A4(X0, sk_A, 'type/realax/real', sk_A2, X2, X1, 
9.14/9.41	                 'const/realax/real_add'))
9.14/9.41	       | 'const/iterate/sum'(X0, 'const/sets/IMAGE'(sk_A, X0, X2, sk_A2), X1)
9.14/9.41	          = 'const/iterate/sum'(sk_A, sk_A2, 
9.14/9.41	              'const/trivia/o'(X0, sk_A, 'type/realax/real', X1, X2))
9.14/9.41	       | sk_A0(
9.14/9.41	           sk_A1(
9.14/9.41	             sk_A4(X0, sk_A, 'type/realax/real', sk_A2, X2, X1, 
9.14/9.41	               'const/realax/real_add')))
9.14/9.41	          != 'const/iterate/neutral'('type/realax/real', 
9.14/9.41	               'const/realax/real_add')),
9.14/9.41	    inference('simplify', [status(thm)], ['45'])).
9.14/9.41	tff('47', plain,
9.14/9.41	    ![X0 : $tType, X1 : X0 > 'type/realax/real', X2 : sk_A > X0]:
9.14/9.41	      (sk_A1(
9.14/9.41	         sk_A4(sk_B, sk_A, 'type/realax/real', sk_A2, sk_A1, sk_A0, 
9.14/9.41	           'const/realax/real_add'))
9.14/9.41	        != sk_A1(
9.14/9.41	             sk_A4(X0, sk_A, 'type/realax/real', sk_A2, X2, X1, 
9.14/9.41	               'const/realax/real_add'))
9.14/9.41	       | 'const/iterate/sum'(X0, 'const/sets/IMAGE'(sk_A, X0, X2, sk_A2), X1)
9.14/9.41	          = 'const/iterate/sum'(sk_A, sk_A2, 
9.14/9.41	              'const/trivia/o'(X0, sk_A, 'type/realax/real', X1, X2))
9.14/9.41	       | sk_A0(
9.14/9.41	           sk_A1(
9.14/9.41	             sk_A4(X0, sk_A, 'type/realax/real', sk_A2, X2, X1, 
9.14/9.41	               'const/realax/real_add')))
9.14/9.41	          != 'const/iterate/neutral'('type/realax/real', 
9.14/9.41	               'const/realax/real_add')),
9.14/9.41	    inference('simplify_reflect-', [status(thm)], ['46', '11'])).
9.14/9.41	tff('48', plain,
9.14/9.41	    (sk_A0(
9.14/9.41	       sk_A1(
9.14/9.41	         sk_A4(sk_B, sk_A, 'type/realax/real', sk_A2, sk_A1, sk_A0, 
9.14/9.41	           'const/realax/real_add')))
9.14/9.41	      != 'const/iterate/neutral'('type/realax/real', 'const/realax/real_add')
9.14/9.41	     | 'const/iterate/sum'(sk_B, 
9.14/9.41	         'const/sets/IMAGE'(sk_A, sk_B, sk_A1, sk_A2), sk_A0)
9.14/9.41	        = 'const/iterate/sum'(sk_A, sk_A2, 
9.14/9.41	            'const/trivia/o'(sk_B, sk_A, 'type/realax/real', sk_A0, sk_A1))),
9.14/9.41	    inference('eq_res', [status(thm)], ['47'])).
9.14/9.41	tff('49', plain,
9.14/9.41	    sk_A0(
9.14/9.41	      sk_A1(
9.14/9.41	        sk_A4(sk_B, sk_A, 'type/realax/real', sk_A2, sk_A1, sk_A0, 
9.14/9.41	          'const/realax/real_add')))
9.14/9.41	     != 'const/iterate/neutral'('type/realax/real', 'const/realax/real_add'),
9.14/9.41	    inference('simplify_reflect-', [status(thm)], ['48', '11'])).
9.14/9.41	tff('50', plain,
9.14/9.41	    ![X0 : sk_A]:
9.14/9.41	      (sk_A1(
9.14/9.41	         sk_A4(sk_B, sk_A, 'type/realax/real', sk_A2, sk_A1, sk_A0, 
9.14/9.41	           'const/realax/real_add'))
9.14/9.41	        != sk_A1(X0)
9.14/9.41	       | sk_A4(sk_B, sk_A, 'type/realax/real', sk_A2, sk_A1, sk_A0, 
9.14/9.41	           'const/realax/real_add')
9.14/9.41	          = X0
9.14/9.41	       | ~ 'const/sets/IN'(sk_A, X0, sk_A2)),
9.14/9.41	    inference('simplify_reflect-', [status(thm)], ['43', '49'])).
9.14/9.41	tff('51', plain,
9.14/9.41	    (sk_A1(
9.14/9.41	       sk_A4(sk_B, sk_A, 'type/realax/real', sk_A2, sk_A1, sk_A0, 
9.14/9.41	         'const/realax/real_add'))
9.14/9.41	      != sk_A1(
9.14/9.41	           sk_A4(sk_B, sk_A, 'type/realax/real', sk_A2, sk_A1, sk_A0, 
9.14/9.41	             'const/realax/real_add'))
9.14/9.41	     | ~ 'const/sets/IN'(sk_A, 
9.14/9.41	           sk_A5(sk_B, sk_A, 'type/realax/real', sk_A2, sk_A1, sk_A0, 
9.14/9.41	             'const/realax/real_add'), sk_A2)
9.14/9.41	     | sk_A4(sk_B, sk_A, 'type/realax/real', sk_A2, sk_A1, sk_A0, 
9.14/9.41	         'const/realax/real_add')
9.14/9.41	        = sk_A5(sk_B, sk_A, 'type/realax/real', sk_A2, sk_A1, sk_A0, 
9.14/9.41	            'const/realax/real_add')),
9.14/9.41	    inference('sup-', [status(thm)], ['15', '50'])).
9.14/9.41	tff('52', plain,
9.14/9.41	    (sk_A4(sk_B, sk_A, 'type/realax/real', sk_A2, sk_A1, sk_A0, 
9.14/9.41	       'const/realax/real_add')
9.14/9.41	      = sk_A5(sk_B, sk_A, 'type/realax/real', sk_A2, sk_A1, sk_A0, 
9.14/9.41	          'const/realax/real_add')
9.14/9.41	     | ~ 'const/sets/IN'(sk_A, 
9.14/9.41	           sk_A5(sk_B, sk_A, 'type/realax/real', sk_A2, sk_A1, sk_A0, 
9.14/9.41	             'const/realax/real_add'), sk_A2)),
9.14/9.41	    inference('simplify', [status(thm)], ['51'])).
9.14/9.41	tff('53', plain,
9.14/9.41	    ![X0 : $tType, X1 : (X0 * X0) > X0, X2 : $tType, X3 : X2 > X0, 
9.14/9.41	      X4 : $tType, X5 : X4 > X2, X6 : X4 > $o]:
9.14/9.41	      (sk_A4(X2, X4, X0, X6, X5, X3, X1) != sk_A5(X2, X4, X0, X6, X5, X3, X1)
9.14/9.41	       | ~ 'const/sets/FINITE'(X4, X6)
9.14/9.41	       | 'const/iterate/iterate'(X2, X0, X1, 
9.14/9.41	           'const/sets/IMAGE'(X4, X2, X5, X6), X3)
9.14/9.41	          = 'const/iterate/iterate'(X4, X0, X1, X6, 
9.14/9.41	              'const/trivia/o'(X2, X4, X0, X3, X5))
9.14/9.41	       | ~ 'const/iterate/monoidal'(X0, X1)),
9.14/9.41	    inference('cnf', [status(esa)], [thm/iterate/ITERATE_IMAGE_NONZERO_])).
9.14/9.41	tff('54', plain,
9.14/9.41	    ![X0 : $tType, X1 : X0 > 'type/realax/real', X2 : $tType, X3 : X2 > $o, 
9.14/9.41	      X4 : X2 > X0]:
9.14/9.41	      ('const/iterate/sum'(X0, 'const/sets/IMAGE'(X2, X0, X4, X3), X1)
9.14/9.41	        = 'const/iterate/iterate'(X2, 'type/realax/real', 
9.14/9.41	            'const/realax/real_add', X3, 
9.14/9.41	            'const/trivia/o'(X0, X2, 'type/realax/real', X1, X4))
9.14/9.41	       | ~ 'const/iterate/monoidal'('type/realax/real', 
9.14/9.41	             'const/realax/real_add')
9.14/9.41	       | ~ 'const/sets/FINITE'(X2, X3)
9.14/9.41	       | sk_A4(X0, X2, 'type/realax/real', X3, X4, X1, 
9.14/9.41	           'const/realax/real_add')
9.14/9.41	          != sk_A5(X0, X2, 'type/realax/real', X3, X4, X1, 
9.14/9.41	               'const/realax/real_add')),
9.14/9.41	    inference('sup+', [status(thm)], ['1', '53'])).
9.14/9.41	tff('55', plain,
9.14/9.41	    ![X0 : $tType, X1 : X0 > 'type/realax/real', X2 : $tType, X3 : X2 > $o, 
9.14/9.41	      X4 : X2 > X0]:
9.14/9.41	      ('const/iterate/sum'(X0, 'const/sets/IMAGE'(X2, X0, X4, X3), X1)
9.14/9.41	        = 'const/iterate/sum'(X2, X3, 
9.14/9.41	            'const/trivia/o'(X0, X2, 'type/realax/real', X1, X4))
9.14/9.41	       | ~ $true
9.14/9.41	       | ~ 'const/sets/FINITE'(X2, X3)
9.14/9.41	       | sk_A4(X0, X2, 'type/realax/real', X3, X4, X1, 
9.14/9.41	           'const/realax/real_add')
9.14/9.41	          != sk_A5(X0, X2, 'type/realax/real', X3, X4, X1, 
9.14/9.41	               'const/realax/real_add')),
9.14/9.41	    inference('demod', [status(thm)], ['54', '1', '4'])).
9.14/9.41	tff('56', plain,
9.14/9.41	    ![X0 : $tType, X1 : X0 > 'type/realax/real', X2 : $tType, X3 : X2 > $o, 
9.14/9.41	      X4 : X2 > X0]:
9.14/9.41	      (sk_A4(X0, X2, 'type/realax/real', X3, X4, X1, 'const/realax/real_add')
9.14/9.41	        != sk_A5(X0, X2, 'type/realax/real', X3, X4, X1, 
9.14/9.41	             'const/realax/real_add')
9.14/9.41	       | ~ 'const/sets/FINITE'(X2, X3)
9.14/9.41	       | 'const/iterate/sum'(X0, 'const/sets/IMAGE'(X2, X0, X4, X3), X1)
9.14/9.41	          = 'const/iterate/sum'(X2, X3, 
9.14/9.41	              'const/trivia/o'(X0, X2, 'type/realax/real', X1, X4))),
9.14/9.41	    inference('simplify', [status(thm)], ['55'])).
9.14/9.41	tff('57', plain,
9.14/9.41	    ('const/iterate/sum'(sk_B, 'const/sets/IMAGE'(sk_A, sk_B, sk_A1, sk_A2), 
9.14/9.41	       sk_A0)
9.14/9.41	      != 'const/iterate/sum'(sk_B, 
9.14/9.41	           'const/sets/IMAGE'(sk_A, sk_B, sk_A1, sk_A2), sk_A0)
9.14/9.41	     | ~ 'const/sets/FINITE'(sk_A, sk_A2)
9.14/9.41	     | sk_A4(sk_B, sk_A, 'type/realax/real', sk_A2, sk_A1, sk_A0, 
9.14/9.41	         'const/realax/real_add')
9.14/9.41	        != sk_A5(sk_B, sk_A, 'type/realax/real', sk_A2, sk_A1, sk_A0, 
9.14/9.41	             'const/realax/real_add')),
9.14/9.41	    inference('sup-', [status(thm)], ['56', '11'])).
9.14/9.41	tff('58', plain,
9.14/9.41	    ('const/iterate/sum'(sk_B, 'const/sets/IMAGE'(sk_A, sk_B, sk_A1, sk_A2), 
9.14/9.41	       sk_A0)
9.14/9.41	      != 'const/iterate/sum'(sk_B, 
9.14/9.41	           'const/sets/IMAGE'(sk_A, sk_B, sk_A1, sk_A2), sk_A0)
9.14/9.41	     | ~ $true
9.14/9.41	     | sk_A4(sk_B, sk_A, 'type/realax/real', sk_A2, sk_A1, sk_A0, 
9.14/9.41	         'const/realax/real_add')
9.14/9.41	        != sk_A5(sk_B, sk_A, 'type/realax/real', sk_A2, sk_A1, sk_A0, 
9.14/9.41	             'const/realax/real_add')),
9.14/9.41	    inference('demod', [status(thm)], ['57', '13'])).
9.14/9.41	tff('59', plain,
9.14/9.41	    sk_A4(sk_B, sk_A, 'type/realax/real', sk_A2, sk_A1, sk_A0, 
9.14/9.41	      'const/realax/real_add')
9.14/9.41	     != sk_A5(sk_B, sk_A, 'type/realax/real', sk_A2, sk_A1, sk_A0, 
9.14/9.41	          'const/realax/real_add'),
9.14/9.41	    inference('simplify', [status(thm)], ['58'])).
9.14/9.41	tff('60', plain,
9.14/9.41	    ~ 'const/sets/IN'(sk_A, 
9.14/9.41	        sk_A5(sk_B, sk_A, 'type/realax/real', sk_A2, sk_A1, sk_A0, 
9.14/9.41	          'const/realax/real_add'), sk_A2),
9.14/9.41	    inference('simplify_reflect-', [status(thm)], ['52', '59'])).
9.14/9.41	tff('61', plain,
9.14/9.41	    (~ $true
9.14/9.41	     | 'const/iterate/sum'(sk_B, 
9.14/9.41	         'const/sets/IMAGE'(sk_A, sk_B, sk_A1, sk_A2), sk_A0)
9.14/9.41	        = 'const/iterate/sum'(sk_A, sk_A2, 
9.14/9.41	            'const/trivia/o'(sk_B, sk_A, 'type/realax/real', sk_A0, sk_A1))
9.14/9.41	     | ~ 'const/sets/FINITE'(sk_A, sk_A2)),
9.14/9.41	    inference('sup-', [status(thm)], ['6', '60'])).
9.14/9.41	tff('62', plain,
9.14/9.41	    (~ $true
9.14/9.41	     | 'const/iterate/sum'(sk_B, 
9.14/9.41	         'const/sets/IMAGE'(sk_A, sk_B, sk_A1, sk_A2), sk_A0)
9.14/9.41	        = 'const/iterate/sum'(sk_A, sk_A2, 
9.14/9.41	            'const/trivia/o'(sk_B, sk_A, 'type/realax/real', sk_A0, sk_A1))
9.14/9.41	     | ~ $true),
9.14/9.41	    inference('demod', [status(thm)], ['61', '13'])).
9.14/9.41	tff('63', plain,
9.14/9.41	    'const/iterate/sum'(sk_B, 'const/sets/IMAGE'(sk_A, sk_B, sk_A1, sk_A2), 
9.14/9.41	      sk_A0)
9.14/9.41	     = 'const/iterate/sum'(sk_A, sk_A2, 
9.14/9.41	         'const/trivia/o'(sk_B, sk_A, 'type/realax/real', sk_A0, sk_A1)),
9.14/9.41	    inference('simplify', [status(thm)], ['62'])).
9.14/9.41	tff('64', plain, $false,
9.14/9.41	    inference('simplify_reflect-', [status(thm)], ['63', '11'])).
9.14/9.41	
9.14/9.41	% SZS output end Refutation
9.14/9.41	EOF
