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    : purification_ext
0.00/0.00	% Ordering    : rpo6
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	  --ho-purify ext \
0.00/0.00	  --ho-ext-axiom \
0.00/0.00	  --restrict-hidden-sup-at-vars \
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
0.00/0.19	% Computer   : n075.star.cs.uiowa.edu
0.00/0.19	% Model      : x86_64 x86_64
0.00/0.19	% CPU        : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
0.00/0.19	% Memory     : 32218.625MB
0.00/0.19	% OS         : Linux 3.10.0-693.2.2.el7.x86_64
0.00/0.19	% CPULimit   : 300
0.00/0.19	% DateTime   : Fri Feb  2 07:30:23 CST 2018
29.04/29.22	% done 12574 iterations in 29.020s
29.04/29.22	% SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
29.04/29.22	% SZS output start Refutation
29.04/29.22	tff(fact_3_t, axiom,
29.04/29.22	  (hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(s),
29.04/29.22	                                           number_number_of_nat(bit0(
29.04/29.22	                                                                bit1(pls))))),
29.04/29.22	                one_one_int) =
29.04/29.22	   hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(hAPP_int_int(
29.04/29.22	                                                           times_times_int(
29.04/29.22	                                                           number_number_of_int(
29.04/29.22	                                                           bit0(bit0(
29.04/29.22	                                                                bit1(pls))))),
29.04/29.22	                                                           m)),
29.04/29.22	                                             one_one_int)),
29.04/29.22	                t))).
29.04/29.22	tff('0', plain,
29.04/29.22	    hAPP_int_int(
29.04/29.22	      plus_plus_int(
29.04/29.22	        hAPP_nat_int(power_power_int(s), 
29.04/29.22	          number_number_of_nat(bit0(bit1(pls))))), one_one_int)
29.04/29.22	     = hAPP_int_int(
29.04/29.22	         times_times_int(
29.04/29.22	           hAPP_int_int(
29.04/29.22	             plus_plus_int(
29.04/29.22	               hAPP_int_int(
29.04/29.22	                 times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))), 
29.04/29.22	                 m)), one_one_int)), t),
29.04/29.22	    inference('cnf', [status(esa)], [fact_3_t])).
29.04/29.22	tff(fact_172_Pls__def, axiom, (pls = zero_zero_int)).
29.04/29.22	tff('1', plain, pls = zero_zero_int,
29.04/29.22	    inference('cnf', [status(esa)], [fact_172_Pls__def])).
29.04/29.22	tff(fact_160_one__is__num__one, axiom,
29.04/29.22	  (one_one_int = number_number_of_int(bit1(pls)))).
29.04/29.22	tff('2', plain, one_one_int = number_number_of_int(bit1(pls)),
29.04/29.22	    inference('cnf', [status(esa)], [fact_160_one__is__num__one])).
29.04/29.22	tff(fact_34_number__of__is__id, axiom,
29.04/29.22	  (![K_1:int]: (number_number_of_int(K_1) = K_1))).
29.04/29.22	tff('3', plain, ![X31 : int]: number_number_of_int(X31) = X31,
29.04/29.22	    inference('cnf', [status(esa)], [fact_34_number__of__is__id])).
29.04/29.22	tff('4', plain, one_one_int = bit1(zero_zero_int),
29.04/29.22	    inference('demod', [status(thm)], ['2', '1', '3'])).
29.04/29.22	tff('5', plain,
29.04/29.22	    hAPP_int_int(
29.04/29.22	      plus_plus_int(
29.04/29.22	        hAPP_nat_int(power_power_int(s), 
29.04/29.22	          number_number_of_nat(bit0(bit1(zero_zero_int))))), 
29.04/29.22	      bit1(zero_zero_int))
29.04/29.22	     = hAPP_int_int(
29.04/29.22	         times_times_int(
29.04/29.22	           hAPP_int_int(
29.04/29.22	             plus_plus_int(
29.04/29.22	               hAPP_int_int(
29.04/29.22	                 times_times_int(bit0(bit0(bit1(zero_zero_int)))), m)), 
29.04/29.22	             bit1(zero_zero_int))), t),
29.04/29.22	    inference('demod', [status(thm)], ['0', '1', '4', '1', '3', '4'])).
29.04/29.22	tff(fact_134_zadd__commute, axiom,
29.04/29.22	  (![Z:int,W:int]:
29.04/29.22	     (hAPP_int_int(plus_plus_int(Z),W) = hAPP_int_int(plus_plus_int(W),Z)))).
29.04/29.22	tff('6', plain,
29.04/29.22	    ![X265 : int, X266 : int]:
29.04/29.22	      hAPP_int_int(plus_plus_int(X266), X265)
29.04/29.22	       = hAPP_int_int(plus_plus_int(X265), X266),
29.04/29.22	    inference('cnf', [status(esa)], [fact_134_zadd__commute])).
29.04/29.22	tff('7', plain,
29.04/29.22	    hAPP_int_int(plus_plus_int(bit1(zero_zero_int)), 
29.04/29.22	      hAPP_nat_int(power_power_int(s), 
29.04/29.22	        number_number_of_nat(bit0(bit1(zero_zero_int)))))
29.04/29.22	     = hAPP_int_int(
29.04/29.22	         times_times_int(
29.04/29.22	           hAPP_int_int(plus_plus_int(bit1(zero_zero_int)), 
29.04/29.22	             hAPP_int_int(times_times_int(bit0(bit0(bit1(zero_zero_int)))), 
29.04/29.22	               m))), t),
29.04/29.22	    inference('demod', [status(thm)], ['5', '6', '6'])).
29.04/29.22	tff(fact_203_power2__eq__square, axiom,
29.04/29.22	  (![A_103:int]:
29.04/29.22	     (hAPP_nat_int(power_power_int(A_103),
29.04/29.22	                   number_number_of_nat(bit0(bit1(pls)))) =
29.04/29.22	      hAPP_int_int(times_times_int(A_103),A_103)))).
29.04/29.22	tff('8', plain,
29.04/29.22	    ![X371 : int]:
29.04/29.22	      hAPP_nat_int(power_power_int(X371), 
29.04/29.22	        number_number_of_nat(bit0(bit1(pls))))
29.04/29.22	       = hAPP_int_int(times_times_int(X371), X371),
29.04/29.22	    inference('cnf', [status(esa)], [fact_203_power2__eq__square])).
29.04/29.22	tff('9', plain,
29.04/29.22	    ![X371 : int]:
29.04/29.22	      hAPP_nat_int(power_power_int(X371), 
29.04/29.22	        number_number_of_nat(bit0(bit1(zero_zero_int))))
29.04/29.22	       = hAPP_int_int(times_times_int(X371), X371),
29.04/29.22	    inference('demod', [status(thm)], ['8', '1'])).
29.04/29.22	tff(fact_92_zmult__1, axiom,
29.04/29.22	  (![Z:int]: (hAPP_int_int(times_times_int(one_one_int),Z) = Z))).
29.04/29.22	tff('10', plain,
29.04/29.22	    ![X160 : int]: hAPP_int_int(times_times_int(one_one_int), X160) = X160,
29.04/29.22	    inference('cnf', [status(esa)], [fact_92_zmult__1])).
29.04/29.22	tff('11', plain,
29.04/29.22	    ![X160 : int]:
29.04/29.22	      hAPP_int_int(times_times_int(bit1(zero_zero_int)), X160) = X160,
29.04/29.22	    inference('demod', [status(thm)], ['10', '4'])).
29.04/29.22	tff(fact_89_mult__Bit0, axiom,
29.04/29.22	  (![K_1:int,L:int]:
29.04/29.22	     (hAPP_int_int(times_times_int(bit0(K_1)),L) =
29.04/29.22	      bit0(hAPP_int_int(times_times_int(K_1),L))))).
29.04/29.22	tff('12', plain,
29.04/29.22	    ![X154 : int, X155 : int]:
29.04/29.22	      hAPP_int_int(times_times_int(bit0(X154)), X155)
29.04/29.22	       = bit0(hAPP_int_int(times_times_int(X154), X155)),
29.04/29.22	    inference('cnf', [status(esa)], [fact_89_mult__Bit0])).
29.04/29.22	tff('13', plain,
29.04/29.22	    ![X0 : int]:
29.04/29.22	      hAPP_int_int(times_times_int(bit0(bit1(zero_zero_int))), X0) = bit0(X0),
29.04/29.22	    inference('sup+', [status(thm)], ['11', '12'])).
29.04/29.22	tff(fact_35_zmult__commute, axiom,
29.04/29.22	  (![Z:int,W:int]:
29.04/29.22	     (hAPP_int_int(times_times_int(Z),W) = hAPP_int_int(times_times_int(W),Z)))).
29.04/29.22	tff('14', plain,
29.04/29.22	    ![X32 : int, X33 : int]:
29.04/29.22	      hAPP_int_int(times_times_int(X33), X32)
29.04/29.22	       = hAPP_int_int(times_times_int(X32), X33),
29.04/29.22	    inference('cnf', [status(esa)], [fact_35_zmult__commute])).
29.04/29.22	tff('15', plain,
29.04/29.22	    ![X0 : int]:
29.04/29.22	      hAPP_int_int(times_times_int(X0), bit0(bit1(zero_zero_int))) = bit0(X0),
29.04/29.22	    inference('sup+', [status(thm)], ['13', '14'])).
29.04/29.22	tff(fact_41_zmult__assoc, axiom,
29.04/29.22	  (![Z1:int,Z2:int,Z3:int]:
29.04/29.22	     (hAPP_int_int(times_times_int(hAPP_int_int(times_times_int(Z1),Z2)),Z3) =
29.04/29.22	      hAPP_int_int(times_times_int(Z1),hAPP_int_int(times_times_int(Z2),Z3))))).
29.04/29.22	tff('16', plain,
29.04/29.22	    ![X47 : int, X48 : int, X49 : int]:
29.04/29.22	      hAPP_int_int(times_times_int(hAPP_int_int(times_times_int(X47), X48)), 
29.04/29.22	        X49)
29.04/29.22	       = hAPP_int_int(times_times_int(X47), 
29.04/29.22	           hAPP_int_int(times_times_int(X48), X49)),
29.04/29.22	    inference('cnf', [status(esa)], [fact_41_zmult__assoc])).
29.04/29.22	tff('17', plain,
29.04/29.22	    hAPP_int_int(plus_plus_int(bit1(zero_zero_int)), 
29.04/29.22	      hAPP_int_int(times_times_int(s), s))
29.04/29.22	     = hAPP_int_int(
29.04/29.22	         times_times_int(
29.04/29.22	           hAPP_int_int(plus_plus_int(bit1(zero_zero_int)), 
29.04/29.22	             hAPP_int_int(times_times_int(bit0(bit1(zero_zero_int))), 
29.04/29.22	               hAPP_int_int(times_times_int(bit0(bit1(zero_zero_int))), m)))), 
29.04/29.22	         t),
29.04/29.22	    inference('demod', [status(thm)], ['7', '9', '15', '16'])).
29.04/29.22	tff(fact_425_pos__zmult__pos, axiom,
29.04/29.22	  (![B:int,A:int]:
29.04/29.22	     (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),
29.04/29.22	                          A)) =>
29.04/29.22	      (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),
29.04/29.22	                           hAPP_int_int(times_times_int(A),B))) =>
29.04/29.22	       hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),
29.04/29.22	                           B)))))).
29.04/29.22	tff('18', plain,
29.04/29.22	    ![X833 : int, X834 : int]:
29.04/29.22	      (hBOOL(
29.04/29.22	         hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int, zero_zero_int), 
29.04/29.22	           X833))
29.04/29.22	       | ~ hBOOL(
29.04/29.22	             hAPP_int_bool(
29.04/29.22	               hAPP_i1948725293t_bool(ord_less_int, zero_zero_int), X834))
29.04/29.22	       | ~ hBOOL(
29.04/29.22	             hAPP_int_bool(
29.04/29.22	               hAPP_i1948725293t_bool(ord_less_int, zero_zero_int), 
29.04/29.22	               hAPP_int_int(times_times_int(X834), X833)))),
29.04/29.22	    inference('cnf', [status(esa)], [fact_425_pos__zmult__pos])).
29.04/29.22	tff('19', plain,
29.04/29.22	    (~ hBOOL(
29.04/29.22	         hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int, zero_zero_int), 
29.04/29.22	           hAPP_int_int(plus_plus_int(bit1(zero_zero_int)), 
29.04/29.22	             hAPP_int_int(times_times_int(s), s))))
29.04/29.22	     | ~ hBOOL(
29.04/29.22	           hAPP_int_bool(
29.04/29.22	             hAPP_i1948725293t_bool(ord_less_int, zero_zero_int), 
29.04/29.22	             hAPP_int_int(plus_plus_int(bit1(zero_zero_int)), 
29.04/29.22	               hAPP_int_int(times_times_int(bit0(bit1(zero_zero_int))), 
29.04/29.22	                 hAPP_int_int(times_times_int(bit0(bit1(zero_zero_int))), m)))))
29.04/29.22	     | hBOOL(
29.04/29.22	         hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int, zero_zero_int), 
29.04/29.22	           t))),
29.04/29.22	    inference('sup-', [status(thm)], ['17', '18'])).
29.04/29.22	tff(fact_91_zmult__1__right, axiom,
29.04/29.22	  (![Z:int]: (hAPP_int_int(times_times_int(Z),one_one_int) = Z))).
29.04/29.22	tff('20', plain,
29.04/29.22	    ![X159 : int]: hAPP_int_int(times_times_int(X159), one_one_int) = X159,
29.04/29.22	    inference('cnf', [status(esa)], [fact_91_zmult__1__right])).
29.04/29.22	tff('21', plain,
29.04/29.22	    ![X159 : int]:
29.04/29.22	      hAPP_int_int(times_times_int(X159), bit1(zero_zero_int)) = X159,
29.04/29.22	    inference('demod', [status(thm)], ['20', '4'])).
29.04/29.22	tff(fact_153_sum__squares__gt__zero__iff, axiom,
29.04/29.22	  (![X:int,Y_1:int]:
29.04/29.22	     (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),
29.04/29.22	                          hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(
29.04/29.22	                                                                  X),X)),
29.04/29.22	                                       hAPP_int_int(times_times_int(Y_1),Y_1)))) <=>
29.04/29.22	      ((Y_1 != zero_zero_int) | (X != zero_zero_int))))).
29.04/29.22	tff('22', plain,
29.04/29.22	    ![X303 : int, X305 : int]:
29.04/29.22	      (hBOOL(
29.04/29.22	         hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int, zero_zero_int), 
29.04/29.22	           hAPP_int_int(
29.04/29.22	             plus_plus_int(hAPP_int_int(times_times_int(X303), X303)), 
29.04/29.22	             hAPP_int_int(times_times_int(X305), X305))))
29.04/29.22	       | X303 = zero_zero_int),
29.04/29.22	    inference('cnf', [status(esa)], [fact_153_sum__squares__gt__zero__iff])).
29.04/29.22	tff('23', plain,
29.04/29.22	    ![X0 : int]:
29.04/29.22	      (hBOOL(
29.04/29.22	         hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int, zero_zero_int), 
29.04/29.22	           hAPP_int_int(plus_plus_int(bit1(zero_zero_int)), 
29.04/29.22	             hAPP_int_int(times_times_int(X0), X0))))
29.04/29.22	       | bit1(zero_zero_int) = zero_zero_int),
29.04/29.22	    inference('sup+', [status(thm)], ['21', '22'])).
29.04/29.22	tff(fact_165_rel__simps_I46_J, axiom, (![K_1:int]: (bit1(K_1) != pls))).
29.04/29.22	tff('24', plain, ![X322 : int]: bit1(X322) != pls,
29.04/29.22	    inference('cnf', [status(esa)], [fact_165_rel__simps_I46_J])).
29.04/29.22	tff('25', plain, ![X322 : int]: bit1(X322) != zero_zero_int,
29.04/29.22	    inference('demod', [status(thm)], ['24', '1'])).
29.04/29.22	tff('26', plain,
29.04/29.22	    ![X0 : int]:
29.04/29.22	      hBOOL(
29.04/29.22	        hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int, zero_zero_int), 
29.04/29.22	          hAPP_int_int(plus_plus_int(bit1(zero_zero_int)), 
29.04/29.22	            hAPP_int_int(times_times_int(X0), X0)))),
29.04/29.22	    inference('simplify_reflect-', [status(thm)], ['23', '25'])).
29.04/29.22	tff(fact_6_p0, axiom,
29.04/29.22	  (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),
29.04/29.22	                       hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(
29.04/29.22	                                                               number_number_of_int(
29.04/29.22	                                                               bit0(bit0(
29.04/29.22	                                                                    bit1(pls))))),
29.04/29.22	                                                               m)),
29.04/29.22	                                    one_one_int))))).
29.04/29.22	tff('27', plain,
29.04/29.22	    hBOOL(
29.04/29.22	      hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int, zero_zero_int), 
29.04/29.22	        hAPP_int_int(
29.04/29.22	          plus_plus_int(
29.04/29.22	            hAPP_int_int(
29.04/29.22	              times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))), 
29.04/29.22	              m)), one_one_int))),
29.04/29.22	    inference('cnf', [status(esa)], [fact_6_p0])).
29.04/29.22	tff('28', plain,
29.04/29.22	    hBOOL(
29.04/29.22	      hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int, zero_zero_int), 
29.04/29.22	        hAPP_int_int(
29.04/29.22	          plus_plus_int(
29.04/29.22	            hAPP_int_int(times_times_int(bit0(bit0(bit1(zero_zero_int)))), m)), 
29.04/29.22	          bit1(zero_zero_int)))),
29.04/29.22	    inference('demod', [status(thm)], ['27', '1', '3', '4'])).
29.04/29.22	tff('29', plain,
29.04/29.22	    hBOOL(
29.04/29.22	      hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int, zero_zero_int), 
29.04/29.22	        hAPP_int_int(plus_plus_int(bit1(zero_zero_int)), 
29.04/29.22	          hAPP_int_int(times_times_int(bit0(bit0(bit1(zero_zero_int)))), m)))),
29.04/29.22	    inference('demod', [status(thm)], ['28', '6'])).
29.04/29.22	tff('30', plain,
29.04/29.22	    hBOOL(
29.04/29.22	      hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int, zero_zero_int), 
29.04/29.22	        hAPP_int_int(plus_plus_int(bit1(zero_zero_int)), 
29.04/29.22	          hAPP_int_int(times_times_int(bit0(bit1(zero_zero_int))), 
29.04/29.22	            hAPP_int_int(times_times_int(bit0(bit1(zero_zero_int))), m))))),
29.04/29.22	    inference('demod', [status(thm)], ['29', '15', '16'])).
29.04/29.22	tff('31', plain,
29.04/29.22	    (~ $true
29.04/29.22	     | ~ $true
29.04/29.22	     | hBOOL(
29.04/29.22	         hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int, zero_zero_int), 
29.04/29.22	           t))),
29.04/29.22	    inference('demod', [status(thm)], ['19', '26', '30'])).
29.04/29.22	tff('32', plain,
29.04/29.22	    hBOOL(
29.04/29.22	      hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int, zero_zero_int), t)),
29.04/29.22	    inference('simplify', [status(thm)], ['31'])).
29.04/29.22	tff(fact_50_zless__le, axiom,
29.04/29.22	  (![Z_1:int,W_1:int]:
29.04/29.22	     (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Z_1),W_1)) <=>
29.04/29.22	      ((Z_1 != W_1) & 
29.04/29.22	       hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,Z_1),W_1)))))).
29.04/29.22	tff('33', plain,
29.04/29.22	    ![X70 : int, X71 : int]:
29.04/29.22	      (hBOOL(
29.04/29.22	         hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int, X71), X70))
29.04/29.22	       | ~ hBOOL(
29.04/29.22	             hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int, X71), X70))),
29.04/29.22	    inference('cnf', [status(esa)], [fact_50_zless__le])).
29.04/29.22	tff(fact_0__096t_A_060_A0_096, axiom,
29.04/29.22	  (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,t),zero_zero_int)))).
29.04/29.22	tff('34', plain,
29.04/29.22	    hBOOL(
29.04/29.22	      hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int, t), zero_zero_int)),
29.04/29.22	    inference('cnf', [status(esa)], [fact_0__096t_A_060_A0_096])).
29.04/29.22	tff(fact_74_le__number__of__eq__not__less, axiom,
29.04/29.22	  (![V_4:int,W_1:int]:
29.04/29.22	     (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,
29.04/29.22	                                                 number_number_of_int(V_4)),
29.04/29.22	                          number_number_of_int(W_1))) <=>
29.04/29.22	      (~
29.04/29.22	        hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,
29.04/29.22	                                                   number_number_of_int(W_1)),
29.04/29.22	                            number_number_of_int(V_4))))))).
29.04/29.22	tff('35', plain,
29.04/29.22	    ![X126 : int, X127 : int]:
29.04/29.22	      (~ hBOOL(
29.04/29.22	           hAPP_int_bool(
29.04/29.22	             hAPP_i1948725293t_bool(ord_less_int, number_number_of_int(X126)), 
29.04/29.22	             number_number_of_int(X127)))
29.04/29.22	       | ~ hBOOL(
29.04/29.22	             hAPP_int_bool(
29.04/29.22	               hAPP_i1948725293t_bool(ord_less_eq_int, 
29.04/29.22	                 number_number_of_int(X127)), number_number_of_int(X126)))),
29.04/29.22	    inference('cnf', [status(esa)], [fact_74_le__number__of__eq__not__less])).
29.04/29.22	tff('36', plain,
29.04/29.22	    ![X126 : int, X127 : int]:
29.04/29.22	      (~ hBOOL(
29.04/29.22	           hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int, X126), X127))
29.04/29.22	       | ~ hBOOL(
29.04/29.22	             hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int, X127), 
29.04/29.22	               X126))),
29.04/29.22	    inference('demod', [status(thm)], ['35', '3', '3', '3', '3'])).
29.04/29.22	tff('37', plain,
29.04/29.22	    (~ $true
29.04/29.22	     | ~ hBOOL(
29.04/29.22	           hAPP_int_bool(
29.04/29.22	             hAPP_i1948725293t_bool(ord_less_eq_int, zero_zero_int), t))),
29.04/29.22	    inference('sup-', [status(thm)], ['34', '36'])).
29.04/29.22	tff('38', plain,
29.04/29.22	    ~ hBOOL(
29.04/29.22	        hAPP_int_bool(
29.04/29.22	          hAPP_i1948725293t_bool(ord_less_eq_int, zero_zero_int), t)),
29.04/29.22	    inference('simplify', [status(thm)], ['37'])).
29.04/29.22	tff('39', plain,
29.04/29.22	    (~ $true
29.04/29.22	     | ~ hBOOL(
29.04/29.22	           hAPP_int_bool(
29.04/29.22	             hAPP_i1948725293t_bool(ord_less_int, zero_zero_int), t))),
29.04/29.22	    inference('sup-', [status(thm)], ['33', '38'])).
29.04/29.22	tff('40', plain,
29.04/29.22	    ~ hBOOL(
29.04/29.22	        hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int, zero_zero_int), t)),
29.04/29.22	    inference('simplify', [status(thm)], ['39'])).
29.04/29.22	tff('41', plain, ~ $true, inference('sup-', [status(thm)], ['32', '40'])).
29.04/29.22	tff('42', plain, $false, inference('simplify', [status(thm)], ['41'])).
29.04/29.22	
29.04/29.22	% SZS output end Refutation
29.04/29.23	EOF
