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_int
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 int \
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   : n039.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 07:39:23 CST 2018
34.40/34.62	% done 12707 iterations in 34.418s
34.40/34.62	% SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
34.40/34.62	% SZS output start Refutation
34.40/34.62	tff(fact_0_tpos, axiom,
34.40/34.62	  (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,one_one_int),t)))).
34.40/34.62	tff('0', plain,
34.40/34.62	    hBOOL(
34.40/34.62	      hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int, one_one_int), t)),
34.40/34.62	    inference('cnf', [status(esa)], [fact_0_tpos])).
34.40/34.62	tff(fact_260_semiring__numeral__1__eq__1, axiom,
34.40/34.62	  (number_number_of_int(bit1(pls)) = one_one_int)).
34.40/34.62	tff('1', plain, number_number_of_int(bit1(pls)) = one_one_int,
34.40/34.62	    inference('cnf', [status(esa)], [fact_260_semiring__numeral__1__eq__1])).
34.40/34.62	tff(fact_358_Pls__def, axiom, (pls = zero_zero_int)).
34.40/34.62	tff('2', plain, pls = zero_zero_int,
34.40/34.62	    inference('cnf', [status(esa)], [fact_358_Pls__def])).
34.40/34.62	tff(fact_144_number__of__is__id, axiom,
34.40/34.62	  (![K_1:int]: (number_number_of_int(K_1) = K_1))).
34.40/34.62	tff('3', plain, ![X324 : int]: number_number_of_int(X324) = X324,
34.40/34.62	    inference('cnf', [status(esa)], [fact_144_number__of__is__id])).
34.40/34.62	tff('4', plain, bit1(zero_zero_int) = one_one_int,
34.40/34.62	    inference('demod', [status(thm)], ['1', '2', '3'])).
34.40/34.62	tff('5', plain,
34.40/34.62	    hBOOL(
34.40/34.62	      hAPP_int_bool(
34.40/34.62	        hAPP_i1948725293t_bool(ord_less_eq_int, bit1(zero_zero_int)), t)),
34.40/34.62	    inference('demod', [status(thm)], ['0', '4'])).
34.40/34.62	tff(fact_37_zless__le, axiom,
34.40/34.62	  (![Z_1:int,W_1:int]:
34.40/34.62	     (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Z_1),W_1)) <=>
34.40/34.62	      ((Z_1 != W_1) & 
34.40/34.62	       hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,Z_1),W_1)))))).
34.40/34.62	tff('6', plain,
34.40/34.62	    ![X34 : int, X35 : int]:
34.40/34.62	      (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int, X34), X35))
34.40/34.62	       | ~ hBOOL(
34.40/34.62	             hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int, X34), X35))
34.40/34.62	       | X34 = X35),
34.40/34.62	    inference('cnf', [status(esa)], [fact_37_zless__le])).
34.40/34.62	tff('7', plain,
34.40/34.62	    (~ $true
34.40/34.62	     | bit1(zero_zero_int) = t
34.40/34.62	     | hBOOL(
34.40/34.62	         hAPP_int_bool(
34.40/34.62	           hAPP_i1948725293t_bool(ord_less_int, bit1(zero_zero_int)), t))),
34.40/34.62	    inference('sup-', [status(thm)], ['5', '6'])).
34.40/34.62	tff('8', plain,
34.40/34.62	    (hBOOL(
34.40/34.62	       hAPP_int_bool(
34.40/34.62	         hAPP_i1948725293t_bool(ord_less_int, bit1(zero_zero_int)), t))
34.40/34.62	     | bit1(zero_zero_int) = t),
34.40/34.62	    inference('simplify', [status(thm)], ['7'])).
34.40/34.62	tff(fact_1__096t_A_061_A1_A_061_061_062_AEX_Ax_Ay_O_Ax_A_094_A2_A_L_Ay_A_094_A2_A_06, axiom,
34.40/34.62	  ((t = one_one_int) =>
34.40/34.62	   (?[X:int,Y:int]:
34.40/34.62	      (hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(X),
34.40/34.62	                                               number_number_of_nat(bit0(
34.40/34.62	                                                                    bit1(pls))))),
34.40/34.62	                    hAPP_nat_int(power_power_int(Y),
34.40/34.62	                                 number_number_of_nat(bit0(bit1(pls))))) =
34.40/34.62	       hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(
34.40/34.62	                                                               bit0(bit0(
34.40/34.62	                                                                    bit1(pls))))),
34.40/34.62	                                               m)),
34.40/34.62	                    one_one_int))))).
34.40/34.62	tff('9', plain,
34.40/34.62	    (hAPP_int_int(
34.40/34.62	       plus_plus_int(
34.40/34.62	         hAPP_nat_int(power_power_int(sk_X), 
34.40/34.62	           number_number_of_nat(bit0(bit1(pls))))), 
34.40/34.62	       hAPP_nat_int(power_power_int(sk_Y), 
34.40/34.62	         number_number_of_nat(bit0(bit1(pls)))))
34.40/34.62	      = hAPP_int_int(
34.40/34.62	          plus_plus_int(
34.40/34.62	            hAPP_int_int(
34.40/34.62	              times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))), 
34.40/34.62	              m)), one_one_int)
34.40/34.62	     | t != one_one_int),
34.40/34.62	    inference('cnf', [status(esa)],
34.40/34.62	              [fact_1__096t_A_061_A1_A_061_061_062_AEX_Ax_Ay_O_Ax_A_094_A2_A_L_Ay_A_094_A2_A_06])).
34.40/34.62	tff('10', plain,
34.40/34.62	    (hAPP_int_int(
34.40/34.62	       plus_plus_int(
34.40/34.62	         hAPP_nat_int(power_power_int(sk_X), 
34.40/34.62	           number_number_of_nat(bit0(bit1(zero_zero_int))))), 
34.40/34.62	       hAPP_nat_int(power_power_int(sk_Y), 
34.40/34.62	         number_number_of_nat(bit0(bit1(zero_zero_int)))))
34.40/34.62	      = hAPP_int_int(
34.40/34.62	          plus_plus_int(
34.40/34.62	            hAPP_int_int(
34.40/34.62	              times_times_int(
34.40/34.62	                number_number_of_int(bit0(bit0(bit1(zero_zero_int))))), m)), 
34.40/34.62	          one_one_int)
34.40/34.62	     | t != one_one_int),
34.40/34.62	    inference('demod', [status(thm)], ['9', '2', '2', '2'])).
34.40/34.62	tff('11', plain,
34.40/34.62	    (hAPP_int_int(
34.40/34.62	       plus_plus_int(
34.40/34.62	         hAPP_nat_int(power_power_int(sk_X), 
34.40/34.62	           number_number_of_nat(bit0(bit1(zero_zero_int))))), 
34.40/34.62	       hAPP_nat_int(power_power_int(sk_Y), 
34.40/34.62	         number_number_of_nat(bit0(bit1(zero_zero_int)))))
34.40/34.62	      = hAPP_int_int(
34.40/34.62	          plus_plus_int(
34.40/34.62	            hAPP_int_int(times_times_int(bit0(bit0(bit1(zero_zero_int)))), m)), 
34.40/34.62	          one_one_int)
34.40/34.62	     | t != one_one_int),
34.40/34.62	    inference('demod', [status(thm)], ['10', '3'])).
34.40/34.62	tff(fact_12_power2__eq__square__number__of, axiom,
34.40/34.62	  (![W_16:int]:
34.40/34.62	     (hAPP_nat_int(power_power_int(number_number_of_int(W_16)),
34.40/34.62	                   number_number_of_nat(bit0(bit1(pls)))) =
34.40/34.62	      hAPP_int_int(times_times_int(number_number_of_int(W_16)),
34.40/34.62	                   number_number_of_int(W_16))))).
34.40/34.62	tff('12', plain,
34.40/34.62	    ![X10 : int]:
34.40/34.62	      hAPP_nat_int(power_power_int(number_number_of_int(X10)), 
34.40/34.62	        number_number_of_nat(bit0(bit1(pls))))
34.40/34.62	       = hAPP_int_int(times_times_int(number_number_of_int(X10)), 
34.40/34.62	           number_number_of_int(X10)),
34.40/34.62	    inference('cnf', [status(esa)], [fact_12_power2__eq__square__number__of])).
34.40/34.62	tff('13', plain,
34.40/34.62	    ![X10 : int]:
34.40/34.62	      hAPP_nat_int(power_power_int(X10), 
34.40/34.62	        number_number_of_nat(bit0(bit1(zero_zero_int))))
34.40/34.62	       = hAPP_int_int(times_times_int(X10), X10),
34.40/34.62	    inference('demod', [status(thm)], ['12', '3', '2', '3', '3'])).
34.40/34.62	tff(fact_188_comm__semiring__1__class_Onormalizing__semiring__rules_I11_J, axiom,
34.40/34.62	  (![A_99:int]: (hAPP_int_int(times_times_int(one_one_int),A_99) = A_99))).
34.40/34.62	tff('14', plain,
34.40/34.62	    ![X442 : int]: hAPP_int_int(times_times_int(one_one_int), X442) = X442,
34.40/34.62	    inference('cnf', [status(esa)],
34.40/34.62	              [fact_188_comm__semiring__1__class_Onormalizing__semiring__rules_I11_J])).
34.40/34.62	tff('15', plain,
34.40/34.62	    ![X442 : int]:
34.40/34.62	      hAPP_int_int(times_times_int(bit1(zero_zero_int)), X442) = X442,
34.40/34.62	    inference('demod', [status(thm)], ['14', '4'])).
34.40/34.62	tff(fact_202_mult__Bit0, axiom,
34.40/34.62	  (![K_1:int,L:int]:
34.40/34.62	     (hAPP_int_int(times_times_int(bit0(K_1)),L) =
34.40/34.62	      bit0(hAPP_int_int(times_times_int(K_1),L))))).
34.40/34.62	tff('16', plain,
34.40/34.62	    ![X465 : int, X466 : int]:
34.40/34.62	      hAPP_int_int(times_times_int(bit0(X465)), X466)
34.40/34.62	       = bit0(hAPP_int_int(times_times_int(X465), X466)),
34.40/34.62	    inference('cnf', [status(esa)], [fact_202_mult__Bit0])).
34.40/34.62	tff('17', plain,
34.40/34.62	    ![X0 : int]:
34.40/34.62	      hAPP_int_int(times_times_int(bit0(bit1(zero_zero_int))), X0) = bit0(X0),
34.40/34.62	    inference('sup+', [status(thm)], ['15', '16'])).
34.40/34.62	tff(fact_112_comm__semiring__1__class_Onormalizing__semiring__rules_I7_J, axiom,
34.40/34.62	  (![A_111:int,B_63:int]:
34.40/34.62	     (hAPP_int_int(times_times_int(A_111),B_63) =
34.40/34.62	      hAPP_int_int(times_times_int(B_63),A_111)))).
34.40/34.62	tff('18', plain,
34.40/34.62	    ![X234 : int, X235 : int]:
34.40/34.62	      hAPP_int_int(times_times_int(X235), X234)
34.40/34.62	       = hAPP_int_int(times_times_int(X234), X235),
34.40/34.62	    inference('cnf', [status(esa)],
34.40/34.62	              [fact_112_comm__semiring__1__class_Onormalizing__semiring__rules_I7_J])).
34.40/34.62	tff('19', plain,
34.40/34.62	    ![X0 : int]:
34.40/34.62	      hAPP_int_int(times_times_int(X0), bit0(bit1(zero_zero_int))) = bit0(X0),
34.40/34.62	    inference('sup+', [status(thm)], ['17', '18'])).
34.40/34.62	tff(fact_103_comm__semiring__1__class_Onormalizing__semiring__rules_I17_J, axiom,
34.40/34.62	  (![Lx_2:int,Ly:int,Rx_2:int]:
34.40/34.62	     (hAPP_int_int(times_times_int(hAPP_int_int(times_times_int(Lx_2),Ly)),
34.40/34.62	                   Rx_2) =
34.40/34.62	      hAPP_int_int(times_times_int(Lx_2),
34.40/34.62	                   hAPP_int_int(times_times_int(Ly),Rx_2))))).
34.40/34.62	tff('20', plain,
34.40/34.62	    ![X207 : int, X208 : int, X209 : int]:
34.40/34.62	      hAPP_int_int(
34.40/34.62	        times_times_int(hAPP_int_int(times_times_int(X207), X208)), X209)
34.40/34.62	       = hAPP_int_int(times_times_int(X207), 
34.40/34.62	           hAPP_int_int(times_times_int(X208), X209)),
34.40/34.62	    inference('cnf', [status(esa)],
34.40/34.62	              [fact_103_comm__semiring__1__class_Onormalizing__semiring__rules_I17_J])).
34.40/34.62	tff(fact_132_comm__semiring__1__class_Onormalizing__semiring__rules_I24_J, axiom,
34.40/34.62	  (![A_104:int,C_30:int]:
34.40/34.62	     (hAPP_int_int(plus_plus_int(A_104),C_30) =
34.40/34.62	      hAPP_int_int(plus_plus_int(C_30),A_104)))).
34.40/34.62	tff('21', plain,
34.40/34.62	    ![X292 : int, X293 : int]:
34.40/34.62	      hAPP_int_int(plus_plus_int(X293), X292)
34.40/34.62	       = hAPP_int_int(plus_plus_int(X292), X293),
34.40/34.62	    inference('cnf', [status(esa)],
34.40/34.62	              [fact_132_comm__semiring__1__class_Onormalizing__semiring__rules_I24_J])).
34.40/34.62	tff('22', plain,
34.40/34.62	    (hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(sk_X), sk_X)), 
34.40/34.62	       hAPP_int_int(times_times_int(sk_Y), sk_Y))
34.40/34.62	      = hAPP_int_int(plus_plus_int(bit1(zero_zero_int)), 
34.40/34.62	          hAPP_int_int(times_times_int(bit0(bit1(zero_zero_int))), 
34.40/34.62	            hAPP_int_int(times_times_int(bit0(bit1(zero_zero_int))), m)))
34.40/34.62	     | t != bit1(zero_zero_int)),
34.40/34.62	    inference('demod', [status(thm)],
34.40/34.62	              ['11', '13', '13', '19', '20', '4', '21', '4'])).
34.40/34.62	tff(conj_0, conjecture,
34.40/34.62	  (?[X:int,Y:int]:
34.40/34.62	     (hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(X),
34.40/34.62	                                              number_number_of_nat(bit0(
34.40/34.62	                                                                   bit1(pls))))),
34.40/34.62	                   hAPP_nat_int(power_power_int(Y),
34.40/34.62	                                number_number_of_nat(bit0(bit1(pls))))) =
34.40/34.62	      hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(
34.40/34.62	                                                              bit0(bit0(
34.40/34.62	                                                                   bit1(pls))))),
34.40/34.62	                                              m)),
34.40/34.62	                   one_one_int)))).
34.40/34.62	tff(zf_stmt_0, negated_conjecture,
34.40/34.62	  (~
34.40/34.62	    (?[X:int,Y:int]:
34.40/34.62	       (hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(X),
34.40/34.62	                                                number_number_of_nat(
34.40/34.62	                                                bit0(bit1(pls))))),
34.40/34.62	                     hAPP_nat_int(power_power_int(Y),
34.40/34.62	                                  number_number_of_nat(bit0(bit1(pls))))) =
34.40/34.62	        hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(
34.40/34.62	                                                                bit0(
34.40/34.62	                                                                bit0(
34.40/34.62	                                                                bit1(pls))))),
34.40/34.62	                                                m)),
34.40/34.62	                     one_one_int))))).
34.40/34.62	tff('23', plain,
34.40/34.62	    ![X2821 : int, X2822 : int]:
34.40/34.62	      hAPP_int_int(
34.40/34.62	        plus_plus_int(
34.40/34.62	          hAPP_nat_int(power_power_int(X2821), 
34.40/34.62	            number_number_of_nat(bit0(bit1(pls))))), 
34.40/34.62	        hAPP_nat_int(power_power_int(X2822), 
34.40/34.62	          number_number_of_nat(bit0(bit1(pls)))))
34.40/34.62	       != hAPP_int_int(
34.40/34.62	            plus_plus_int(
34.40/34.62	              hAPP_int_int(
34.40/34.62	                times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))), 
34.40/34.62	                m)), one_one_int),
34.40/34.62	    inference('cnf', [status(esa)], [zf_stmt_0])).
34.40/34.62	tff('24', plain,
34.40/34.62	    ![X2821 : int, X2822 : int]:
34.40/34.62	      hAPP_int_int(
34.40/34.62	        plus_plus_int(hAPP_int_int(times_times_int(X2821), X2821)), 
34.40/34.62	        hAPP_int_int(times_times_int(X2822), X2822))
34.40/34.62	       != hAPP_int_int(plus_plus_int(bit1(zero_zero_int)), 
34.40/34.62	            hAPP_int_int(times_times_int(bit0(bit1(zero_zero_int))), 
34.40/34.62	              hAPP_int_int(times_times_int(bit0(bit1(zero_zero_int))), m))),
34.40/34.62	    inference('demod', [status(thm)],
34.40/34.62	              ['23', '2', '13', '2', '13', '2', '19', '3', '20', '4', '21'])).
34.40/34.62	tff('25', plain, t != bit1(zero_zero_int),
34.40/34.62	    inference('simplify_reflect-', [status(thm)], ['22', '24'])).
34.40/34.62	tff('26', plain,
34.40/34.62	    hBOOL(
34.40/34.62	      hAPP_int_bool(
34.40/34.62	        hAPP_i1948725293t_bool(ord_less_int, bit1(zero_zero_int)), t)),
34.40/34.62	    inference('simplify_reflect-', [status(thm)], ['8', '25'])).
34.40/34.62	tff(fact_2__0961_A_060_At_A_061_061_062_AEX_Ax_Ay_O_Ax_A_094_A2_A_L_Ay_A_094_A2_A_06, axiom,
34.40/34.62	  (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),t)) =>
34.40/34.62	   (?[X:int,Y:int]:
34.40/34.62	      (hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(X),
34.40/34.62	                                               number_number_of_nat(bit0(
34.40/34.62	                                                                    bit1(pls))))),
34.40/34.62	                    hAPP_nat_int(power_power_int(Y),
34.40/34.62	                                 number_number_of_nat(bit0(bit1(pls))))) =
34.40/34.62	       hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(
34.40/34.62	                                                               bit0(bit0(
34.40/34.62	                                                                    bit1(pls))))),
34.40/34.62	                                               m)),
34.40/34.62	                    one_one_int))))).
34.40/34.62	tff('27', plain,
34.40/34.62	    (hAPP_int_int(
34.40/34.62	       plus_plus_int(
34.40/34.62	         hAPP_nat_int(power_power_int(sk_X1), 
34.40/34.62	           number_number_of_nat(bit0(bit1(pls))))), 
34.40/34.62	       hAPP_nat_int(power_power_int(sk_Y1), 
34.40/34.62	         number_number_of_nat(bit0(bit1(pls)))))
34.40/34.62	      = hAPP_int_int(
34.40/34.62	          plus_plus_int(
34.40/34.62	            hAPP_int_int(
34.40/34.62	              times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))), 
34.40/34.62	              m)), one_one_int)
34.40/34.62	     | ~ hBOOL(
34.40/34.62	           hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int, one_one_int), 
34.40/34.62	             t))),
34.40/34.62	    inference('cnf', [status(esa)],
34.40/34.62	              [fact_2__0961_A_060_At_A_061_061_062_AEX_Ax_Ay_O_Ax_A_094_A2_A_L_Ay_A_094_A2_A_06])).
34.40/34.62	tff('28', plain,
34.40/34.62	    (hAPP_int_int(
34.40/34.62	       plus_plus_int(
34.40/34.62	         hAPP_nat_int(power_power_int(sk_X1), 
34.40/34.62	           number_number_of_nat(bit0(bit1(zero_zero_int))))), 
34.40/34.62	       hAPP_nat_int(power_power_int(sk_Y1), 
34.40/34.62	         number_number_of_nat(bit0(bit1(zero_zero_int)))))
34.40/34.62	      = hAPP_int_int(
34.40/34.62	          plus_plus_int(
34.40/34.62	            hAPP_int_int(times_times_int(bit0(bit0(bit1(zero_zero_int)))), m)), 
34.40/34.62	          one_one_int)
34.40/34.62	     | ~ hBOOL(
34.40/34.62	           hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int, one_one_int), 
34.40/34.62	             t))),
34.40/34.62	    inference('demod', [status(thm)], ['27', '2', '2', '2', '3'])).
34.40/34.62	tff('29', plain,
34.40/34.62	    (hAPP_int_int(
34.40/34.62	       plus_plus_int(
34.40/34.62	         hAPP_nat_int(power_power_int(sk_X1), 
34.40/34.62	           number_number_of_nat(bit0(bit1(zero_zero_int))))), 
34.40/34.62	       hAPP_nat_int(power_power_int(sk_Y1), 
34.40/34.62	         number_number_of_nat(bit0(bit1(zero_zero_int)))))
34.40/34.62	      = hAPP_int_int(
34.40/34.62	          plus_plus_int(
34.40/34.62	            hAPP_int_int(times_times_int(bit0(bit0(bit1(zero_zero_int)))), m)), 
34.40/34.62	          bit1(zero_zero_int))
34.40/34.62	     | ~ hBOOL(
34.40/34.63	           hAPP_int_bool(
34.40/34.63	             hAPP_i1948725293t_bool(ord_less_int, bit1(zero_zero_int)), t))),
34.40/34.63	    inference('demod', [status(thm)], ['28', '4', '4'])).
34.40/34.63	tff('30', plain,
34.40/34.63	    (hAPP_int_int(
34.40/34.63	       plus_plus_int(hAPP_int_int(times_times_int(sk_X1), sk_X1)), 
34.40/34.63	       hAPP_int_int(times_times_int(sk_Y1), sk_Y1))
34.40/34.63	      = hAPP_int_int(plus_plus_int(bit1(zero_zero_int)), 
34.40/34.63	          hAPP_int_int(times_times_int(bit0(bit1(zero_zero_int))), 
34.40/34.63	            hAPP_int_int(times_times_int(bit0(bit1(zero_zero_int))), m)))
34.40/34.63	     | ~ hBOOL(
34.40/34.63	           hAPP_int_bool(
34.40/34.63	             hAPP_i1948725293t_bool(ord_less_int, bit1(zero_zero_int)), t))),
34.40/34.63	    inference('demod', [status(thm)], ['29', '13', '13', '19', '20', '21'])).
34.40/34.63	tff('31', plain,
34.40/34.63	    ~ hBOOL(
34.40/34.63	        hAPP_int_bool(
34.40/34.63	          hAPP_i1948725293t_bool(ord_less_int, bit1(zero_zero_int)), t)),
34.40/34.63	    inference('simplify_reflect-', [status(thm)], ['30', '24'])).
34.40/34.63	tff('32', plain, ~ $true, inference('sup-', [status(thm)], ['26', '31'])).
34.40/34.63	tff('33', plain, $false, inference('simplify', [status(thm)], ['32'])).
34.40/34.63	
34.40/34.63	% SZS output end Refutation
34.40/34.63	EOF
