0.00/0.00	% File    : /export/starexec/sandbox2/benchmark/theBenchmark.p
0.00/0.00	% app-encoded or not : original
0.00/0.00	% Variant    : purification_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	  --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
0.00/0.19	% Computer   : n147.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 07:38:53 CST 2018
169.32/169.58	% done 52905 iterations in 169.388s
169.32/169.58	% SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
169.32/169.58	% SZS output start Refutation
169.32/169.59	tff(fact_0_tpos, axiom,
169.32/169.59	  (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,one_one_int),t)))).
169.32/169.59	tff('0', plain,
169.32/169.59	    hBOOL(
169.32/169.59	      hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int, one_one_int), t)),
169.32/169.59	    inference('cnf', [status(esa)], [fact_0_tpos])).
169.32/169.59	tff(fact_65_zless__le, axiom,
169.32/169.59	  (![Z_2:int,W_1:int]:
169.32/169.59	     (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Z_2),W_1)) <=>
169.32/169.59	      ((Z_2 != W_1) & 
169.32/169.59	       hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,Z_2),W_1)))))).
169.32/169.59	tff('1', plain,
169.32/169.59	    ![X62 : int, X63 : int]:
169.32/169.59	      (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int, X62), X63))
169.32/169.59	       | ~ hBOOL(
169.32/169.59	             hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int, X62), X63))
169.32/169.59	       | X62 = X63),
169.32/169.59	    inference('cnf', [status(esa)], [fact_65_zless__le])).
169.32/169.59	tff('2', plain,
169.32/169.59	    (~ $true
169.32/169.59	     | one_one_int = t
169.32/169.59	     | hBOOL(
169.32/169.59	         hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int, one_one_int), t))),
169.32/169.59	    inference('sup-', [status(thm)], ['0', '1'])).
169.32/169.59	tff('3', plain,
169.32/169.59	    (hBOOL(
169.32/169.59	       hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int, one_one_int), t))
169.32/169.59	     | one_one_int = t),
169.32/169.59	    inference('simplify', [status(thm)], ['2'])).
169.32/169.59	tff(help_fTrue_1_1_T, axiom, (![P:bool]: ((P = fFalse) | (P = fTrue)))).
169.32/169.59	tff('4', plain, ![X11620 : bool]: (X11620 = fFalse | X11620 = fTrue),
169.32/169.59	    inference('cnf', [status(esa)], [help_fTrue_1_1_T])).
169.32/169.59	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,
169.32/169.59	  (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),t)) =>
169.32/169.59	   (?[X:int,Y:int]:
169.32/169.59	      (hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,
169.32/169.59	                                         hAPP_nat_int(hAPP_int_fun_nat_int(
169.32/169.59	                                                      power_power_int,X),
169.32/169.59	                                                      hAPP_int_nat(number_number_of_nat,
169.32/169.59	                                                                   hAPP_int_int(
169.32/169.59	                                                                   bit0,
169.32/169.59	                                                                   hAPP_int_int(
169.32/169.59	                                                                   bit1,pls))))),
169.32/169.59	                    hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,Y),
169.32/169.59	                                 hAPP_int_nat(number_number_of_nat,
169.32/169.59	                                              hAPP_int_int(bit0,
169.32/169.59	                                                           hAPP_int_int(
169.32/169.59	                                                           bit1,pls))))) =
169.32/169.59	       hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,
169.32/169.59	                                         hAPP_int_int(hAPP_int_fun_int_int(
169.32/169.59	                                                      times_times_int,
169.32/169.59	                                                      hAPP_int_int(number_number_of_int,
169.32/169.59	                                                                   hAPP_int_int(
169.32/169.59	                                                                   bit0,
169.32/169.59	                                                                   hAPP_int_int(
169.32/169.59	                                                                   bit0,
169.32/169.59	                                                                   hAPP_int_int(
169.32/169.59	                                                                   bit1,pls))))),
169.32/169.59	                                                      m)),
169.32/169.59	                    one_one_int))))).
169.32/169.59	tff('5', plain,
169.32/169.59	    (hAPP_int_int(
169.32/169.59	       hAPP_int_fun_int_int(plus_plus_int, 
169.32/169.59	         hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int, sk_X1), 
169.32/169.59	           hAPP_int_nat(number_number_of_nat, 
169.32/169.59	             hAPP_int_int(bit0, hAPP_int_int(bit1, pls))))), 
169.32/169.59	       hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int, sk_Y1), 
169.32/169.59	         hAPP_int_nat(number_number_of_nat, 
169.32/169.59	           hAPP_int_int(bit0, hAPP_int_int(bit1, pls)))))
169.32/169.59	      = hAPP_int_int(
169.32/169.59	          hAPP_int_fun_int_int(plus_plus_int, 
169.32/169.59	            hAPP_int_int(
169.32/169.59	              hAPP_int_fun_int_int(times_times_int, 
169.32/169.59	                hAPP_int_int(number_number_of_int, 
169.32/169.59	                  hAPP_int_int(bit0, 
169.32/169.59	                    hAPP_int_int(bit0, hAPP_int_int(bit1, pls))))), m)), 
169.32/169.59	          one_one_int)
169.32/169.59	     | ~ hBOOL(
169.32/169.59	           hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int, one_one_int), 
169.32/169.59	             t))),
169.32/169.59	    inference('cnf', [status(esa)],
169.32/169.59	              [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])).
169.32/169.59	tff(fact_644_Pls__def, axiom, (pls = zero_zero_int)).
169.32/169.59	tff('6', plain, pls = zero_zero_int,
169.32/169.59	    inference('cnf', [status(esa)], [fact_644_Pls__def])).
169.32/169.59	tff('7', plain,
169.32/169.59	    (hAPP_int_int(
169.32/169.59	       hAPP_int_fun_int_int(plus_plus_int, 
169.32/169.59	         hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int, sk_X1), 
169.32/169.59	           hAPP_int_nat(number_number_of_nat, 
169.32/169.59	             hAPP_int_int(bit0, hAPP_int_int(bit1, zero_zero_int))))), 
169.32/169.59	       hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int, sk_Y1), 
169.32/169.59	         hAPP_int_nat(number_number_of_nat, 
169.32/169.59	           hAPP_int_int(bit0, hAPP_int_int(bit1, zero_zero_int)))))
169.32/169.59	      = hAPP_int_int(
169.32/169.59	          hAPP_int_fun_int_int(plus_plus_int, 
169.32/169.59	            hAPP_int_int(
169.32/169.59	              hAPP_int_fun_int_int(times_times_int, 
169.32/169.59	                hAPP_int_int(number_number_of_int, 
169.32/169.59	                  hAPP_int_int(bit0, 
169.32/169.59	                    hAPP_int_int(bit0, hAPP_int_int(bit1, zero_zero_int))))), 
169.32/169.59	              m)), one_one_int)
169.32/169.59	     | ~ hBOOL(
169.32/169.59	           hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int, one_one_int), 
169.32/169.59	             t))),
169.32/169.59	    inference('demod', [status(thm)], ['5', '6', '6', '6'])).
169.32/169.59	tff(fact_262_number__of__is__id, axiom,
169.32/169.59	  (![K_2:int]: (hAPP_int_int(number_number_of_int,K_2) = K_2))).
169.32/169.59	tff('8', plain,
169.32/169.59	    ![X612 : int]: hAPP_int_int(number_number_of_int, X612) = X612,
169.32/169.59	    inference('cnf', [status(esa)], [fact_262_number__of__is__id])).
169.32/169.59	tff('9', plain,
169.32/169.59	    (hAPP_int_int(
169.32/169.59	       hAPP_int_fun_int_int(plus_plus_int, 
169.32/169.59	         hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int, sk_X1), 
169.32/169.59	           hAPP_int_nat(number_number_of_nat, 
169.32/169.59	             hAPP_int_int(bit0, hAPP_int_int(bit1, zero_zero_int))))), 
169.32/169.59	       hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int, sk_Y1), 
169.32/169.59	         hAPP_int_nat(number_number_of_nat, 
169.32/169.59	           hAPP_int_int(bit0, hAPP_int_int(bit1, zero_zero_int)))))
169.32/169.59	      = hAPP_int_int(
169.32/169.59	          hAPP_int_fun_int_int(plus_plus_int, 
169.32/169.59	            hAPP_int_int(
169.32/169.59	              hAPP_int_fun_int_int(times_times_int, 
169.32/169.59	                hAPP_int_int(bit0, 
169.32/169.59	                  hAPP_int_int(bit0, hAPP_int_int(bit1, zero_zero_int)))), m)), 
169.32/169.59	          one_one_int)
169.32/169.59	     | ~ hBOOL(
169.32/169.59	           hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int, one_one_int), 
169.32/169.59	             t))),
169.32/169.59	    inference('demod', [status(thm)], ['7', '8'])).
169.32/169.59	tff(fact_460_semiring__numeral__1__eq__1, axiom,
169.32/169.59	  (hAPP_int_int(number_number_of_int,hAPP_int_int(bit1,pls)) = one_one_int)).
169.32/169.59	tff('10', plain,
169.32/169.59	    hAPP_int_int(number_number_of_int, hAPP_int_int(bit1, pls)) = one_one_int,
169.32/169.59	    inference('cnf', [status(esa)], [fact_460_semiring__numeral__1__eq__1])).
169.32/169.59	tff('11', plain, hAPP_int_int(bit1, zero_zero_int) = one_one_int,
169.32/169.59	    inference('demod', [status(thm)], ['10', '6', '8'])).
169.32/169.59	tff(fact_107_nat__1__add__1, axiom,
169.32/169.59	  (hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,one_one_nat),one_one_nat) =
169.32/169.59	   hAPP_int_nat(number_number_of_nat,
169.32/169.59	                hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))).
169.32/169.59	tff('12', plain,
169.32/169.59	    hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat, one_one_nat), 
169.32/169.59	      one_one_nat)
169.32/169.59	     = hAPP_int_nat(number_number_of_nat, 
169.32/169.59	         hAPP_int_int(bit0, hAPP_int_int(bit1, pls))),
169.32/169.59	    inference('cnf', [status(esa)], [fact_107_nat__1__add__1])).
169.32/169.59	tff('13', plain,
169.32/169.59	    hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat, one_one_nat), 
169.32/169.59	      one_one_nat)
169.32/169.59	     = hAPP_int_nat(number_number_of_nat, hAPP_int_int(bit0, one_one_int)),
169.32/169.59	    inference('demod', [status(thm)], ['12', '6', '11'])).
169.32/169.59	tff(fact_3072_Suc__eq__plus1, axiom,
169.32/169.59	  (![N_1:nat]:
169.32/169.59	     (hAPP_nat_nat(suc,N_1) =
169.32/169.59	      hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,N_1),one_one_nat)))).
169.32/169.59	tff('14', plain,
169.32/169.59	    ![X7308 : nat]:
169.32/169.59	      hAPP_nat_nat(suc, X7308)
169.32/169.59	       = hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat, X7308), 
169.32/169.59	           one_one_nat),
169.32/169.59	    inference('cnf', [status(esa)], [fact_3072_Suc__eq__plus1])).
169.32/169.59	tff('15', plain,
169.32/169.59	    hAPP_nat_nat(suc, one_one_nat)
169.32/169.59	     = hAPP_int_nat(number_number_of_nat, hAPP_int_int(bit0, one_one_int)),
169.32/169.59	    inference('demod', [status(thm)], ['13', '14'])).
169.32/169.59	tff(fact_356_mult__Bit0, axiom,
169.32/169.59	  (![K_2:int,L_2:int]:
169.32/169.59	     (hAPP_int_int(hAPP_int_fun_int_int(times_times_int,
169.32/169.59	                                        hAPP_int_int(bit0,K_2)),
169.32/169.59	                   L_2) =
169.32/169.59	      hAPP_int_int(bit0,
169.32/169.59	                   hAPP_int_int(hAPP_int_fun_int_int(times_times_int,K_2),L_2))))).
169.32/169.59	tff('16', plain,
169.32/169.59	    ![X845 : int, X846 : int]:
169.32/169.59	      hAPP_int_int(
169.32/169.59	        hAPP_int_fun_int_int(times_times_int, hAPP_int_int(bit0, X845)), 
169.32/169.59	        X846)
169.32/169.59	       = hAPP_int_int(bit0, 
169.32/169.59	           hAPP_int_int(hAPP_int_fun_int_int(times_times_int, X845), X846)),
169.32/169.59	    inference('cnf', [status(esa)], [fact_356_mult__Bit0])).
169.32/169.59	tff(fact_334_comm__semiring__1__class_Onormalizing__semiring__rules_I11_J, axiom,
169.32/169.59	  (![A_227:int]:
169.32/169.59	     (hAPP_int_int(hAPP_int_fun_int_int(times_times_int,one_one_int),A_227) =
169.32/169.59	      A_227))).
169.32/169.59	tff('17', plain,
169.32/169.59	    ![X806 : int]:
169.32/169.59	      hAPP_int_int(hAPP_int_fun_int_int(times_times_int, one_one_int), X806)
169.32/169.59	       = X806,
169.32/169.59	    inference('cnf', [status(esa)],
169.32/169.59	              [fact_334_comm__semiring__1__class_Onormalizing__semiring__rules_I11_J])).
169.32/169.59	tff(fact_241_comm__semiring__1__class_Onormalizing__semiring__rules_I24_J, axiom,
169.32/169.59	  (![A_232:int,C_92:int]:
169.32/169.59	     (hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A_232),C_92) =
169.32/169.59	      hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,C_92),A_232)))).
169.32/169.59	tff('18', plain,
169.32/169.59	    ![X556 : int, X557 : int]:
169.32/169.59	      hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int, X557), X556)
169.32/169.59	       = hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int, X556), X557),
169.32/169.59	    inference('cnf', [status(esa)],
169.32/169.59	              [fact_241_comm__semiring__1__class_Onormalizing__semiring__rules_I24_J])).
169.32/169.59	tff(fact_3298_succ__def, axiom,
169.32/169.59	  (![K_2:int]:
169.32/169.59	     (hAPP_int_int(succ,K_2) =
169.32/169.59	      hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,K_2),one_one_int)))).
169.32/169.59	tff('19', plain,
169.32/169.59	    ![X7763 : int]:
169.32/169.59	      hAPP_int_int(succ, X7763)
169.32/169.59	       = hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int, X7763), 
169.32/169.59	           one_one_int),
169.32/169.59	    inference('cnf', [status(esa)], [fact_3298_succ__def])).
169.32/169.59	tff('20', plain,
169.32/169.59	    ![X0 : int]:
169.32/169.59	      hAPP_int_int(succ, X0)
169.32/169.59	       = hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int, one_one_int), X0),
169.32/169.59	    inference('sup+', [status(thm)], ['18', '19'])).
169.32/169.59	tff(fact_3296_succ__Bit0, axiom,
169.32/169.59	  (![K_2:int]:
169.32/169.59	     (hAPP_int_int(succ,hAPP_int_int(bit0,K_2)) = hAPP_int_int(bit1,K_2)))).
169.32/169.59	tff('21', plain,
169.32/169.59	    ![X7761 : int]:
169.32/169.59	      hAPP_int_int(succ, hAPP_int_int(bit0, X7761))
169.32/169.59	       = hAPP_int_int(bit1, X7761),
169.32/169.59	    inference('cnf', [status(esa)], [fact_3296_succ__Bit0])).
169.32/169.59	tff('22', plain,
169.32/169.59	    (hAPP_int_int(
169.32/169.59	       hAPP_int_fun_int_int(plus_plus_int, 
169.32/169.59	         hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int, sk_X1), 
169.32/169.59	           hAPP_nat_nat(suc, one_one_nat))), 
169.32/169.59	       hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int, sk_Y1), 
169.32/169.59	         hAPP_nat_nat(suc, one_one_nat)))
169.32/169.59	      = hAPP_int_int(bit1, hAPP_int_int(bit0, m))
169.32/169.59	     | ~ hBOOL(
169.32/169.59	           hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int, one_one_int), 
169.32/169.59	             t))),
169.32/169.59	    inference('demod', [status(thm)],
169.32/169.59	              ['9', '11', '15', '11', '15', '11', '16', '16', '17', '18', 
169.32/169.59	               '20', '21'])).
169.32/169.59	tff(conj_0, conjecture,
169.32/169.59	  (?[X:int,Y:int]:
169.32/169.59	     (hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,
169.32/169.59	                                        hAPP_nat_int(hAPP_int_fun_nat_int(
169.32/169.59	                                                     power_power_int,X),
169.32/169.59	                                                     hAPP_int_nat(number_number_of_nat,
169.32/169.59	                                                                  hAPP_int_int(
169.32/169.59	                                                                  bit0,
169.32/169.59	                                                                  hAPP_int_int(
169.32/169.59	                                                                  bit1,pls))))),
169.32/169.59	                   hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,Y),
169.32/169.59	                                hAPP_int_nat(number_number_of_nat,
169.32/169.59	                                             hAPP_int_int(bit0,
169.32/169.59	                                                          hAPP_int_int(
169.32/169.59	                                                          bit1,pls))))) =
169.32/169.59	      hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,
169.32/169.59	                                        hAPP_int_int(hAPP_int_fun_int_int(
169.32/169.59	                                                     times_times_int,
169.32/169.59	                                                     hAPP_int_int(number_number_of_int,
169.32/169.59	                                                                  hAPP_int_int(
169.32/169.59	                                                                  bit0,
169.32/169.59	                                                                  hAPP_int_int(
169.32/169.59	                                                                  bit0,
169.32/169.59	                                                                  hAPP_int_int(
169.32/169.59	                                                                  bit1,pls))))),
169.32/169.59	                                                     m)),
169.32/169.59	                   one_one_int)))).
169.32/169.59	tff(zf_stmt_0, negated_conjecture,
169.32/169.59	  (~
169.32/169.59	    (?[X:int,Y:int]:
169.32/169.59	       (hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,
169.32/169.59	                                          hAPP_nat_int(hAPP_int_fun_nat_int(
169.32/169.59	                                                       power_power_int,X),
169.32/169.59	                                                       hAPP_int_nat(number_number_of_nat,
169.32/169.59	                                                                    hAPP_int_int(
169.32/169.59	                                                                    bit0,
169.32/169.59	                                                                    hAPP_int_int(
169.32/169.59	                                                                    bit1,pls))))),
169.32/169.59	                     hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,Y),
169.32/169.59	                                  hAPP_int_nat(number_number_of_nat,
169.32/169.59	                                               hAPP_int_int(bit0,
169.32/169.59	                                                            hAPP_int_int(
169.32/169.59	                                                            bit1,pls))))) =
169.32/169.59	        hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,
169.32/169.59	                                          hAPP_int_int(hAPP_int_fun_int_int(
169.32/169.59	                                                       times_times_int,
169.32/169.59	                                                       hAPP_int_int(number_number_of_int,
169.32/169.59	                                                                    hAPP_int_int(
169.32/169.59	                                                                    bit0,
169.32/169.59	                                                                    hAPP_int_int(
169.32/169.59	                                                                    bit0,
169.32/169.59	                                                                    hAPP_int_int(
169.32/169.59	                                                                    bit1,pls))))),
169.32/169.59	                                                       m)),
169.32/169.59	                     one_one_int))))).
169.32/169.59	tff('23', plain,
169.32/169.59	    ![X12228 : int, X12229 : int]:
169.32/169.59	      hAPP_int_int(
169.32/169.59	        hAPP_int_fun_int_int(plus_plus_int, 
169.32/169.59	          hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int, X12228), 
169.32/169.59	            hAPP_int_nat(number_number_of_nat, 
169.32/169.59	              hAPP_int_int(bit0, hAPP_int_int(bit1, pls))))), 
169.32/169.59	        hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int, X12229), 
169.32/169.59	          hAPP_int_nat(number_number_of_nat, 
169.32/169.59	            hAPP_int_int(bit0, hAPP_int_int(bit1, pls)))))
169.32/169.59	       != hAPP_int_int(
169.32/169.59	            hAPP_int_fun_int_int(plus_plus_int, 
169.32/169.59	              hAPP_int_int(
169.32/169.59	                hAPP_int_fun_int_int(times_times_int, 
169.32/169.59	                  hAPP_int_int(number_number_of_int, 
169.32/169.59	                    hAPP_int_int(bit0, 
169.32/169.59	                      hAPP_int_int(bit0, hAPP_int_int(bit1, pls))))), m)), 
169.32/169.59	            one_one_int),
169.32/169.59	    inference('cnf', [status(esa)], [zf_stmt_0])).
169.32/169.59	tff('24', plain,
169.32/169.59	    ![X12228 : int, X12229 : int]:
169.32/169.59	      hAPP_int_int(
169.32/169.59	        hAPP_int_fun_int_int(plus_plus_int, 
169.32/169.59	          hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int, X12228), 
169.32/169.59	            hAPP_nat_nat(suc, one_one_nat))), 
169.32/169.59	        hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int, X12229), 
169.32/169.59	          hAPP_nat_nat(suc, one_one_nat)))
169.32/169.59	       != hAPP_int_int(bit1, hAPP_int_int(bit0, m)),
169.32/169.59	    inference('demod', [status(thm)],
169.32/169.59	              ['23', '6', '11', '15', '6', '11', '15', '6', '11', '8', '16', 
169.32/169.59	               '16', '17', '18', '20', '21'])).
169.32/169.59	tff('25', plain,
169.32/169.59	    ~ hBOOL(
169.32/169.59	        hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int, one_one_int), t)),
169.32/169.59	    inference('simplify_reflect-', [status(thm)], ['22', '24'])).
169.32/169.59	tff('26', plain,
169.32/169.59	    (~ hBOOL(fTrue)
169.32/169.59	     | hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int, one_one_int), t)
169.32/169.59	        = fFalse),
169.32/169.59	    inference('sup-', [status(thm)], ['4', '25'])).
169.32/169.59	tff(help_fTrue_1_1_U, axiom, (hBOOL(fTrue))).
169.32/169.59	tff('27', plain, hBOOL(fTrue),
169.32/169.59	    inference('cnf', [status(esa)], [help_fTrue_1_1_U])).
169.32/169.59	tff('28', plain,
169.32/169.59	    (~ $true
169.32/169.59	     | hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int, one_one_int), t)
169.32/169.59	        = fFalse),
169.32/169.59	    inference('demod', [status(thm)], ['26', '27'])).
169.32/169.59	tff('29', plain,
169.32/169.59	    hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int, one_one_int), t)
169.32/169.59	     = fFalse,
169.32/169.59	    inference('simplify', [status(thm)], ['28'])).
169.32/169.59	tff('30', plain, (hBOOL(fFalse) | one_one_int = t),
169.32/169.59	    inference('demod', [status(thm)], ['3', '29'])).
169.32/169.59	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,
169.32/169.59	  ((t = one_one_int) =>
169.32/169.59	   (?[X:int,Y:int]:
169.32/169.59	      (hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,
169.32/169.59	                                         hAPP_nat_int(hAPP_int_fun_nat_int(
169.32/169.59	                                                      power_power_int,X),
169.32/169.59	                                                      hAPP_int_nat(number_number_of_nat,
169.32/169.59	                                                                   hAPP_int_int(
169.32/169.59	                                                                   bit0,
169.32/169.59	                                                                   hAPP_int_int(
169.32/169.59	                                                                   bit1,pls))))),
169.32/169.59	                    hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,Y),
169.32/169.59	                                 hAPP_int_nat(number_number_of_nat,
169.32/169.59	                                              hAPP_int_int(bit0,
169.32/169.59	                                                           hAPP_int_int(
169.32/169.59	                                                           bit1,pls))))) =
169.32/169.59	       hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,
169.32/169.59	                                         hAPP_int_int(hAPP_int_fun_int_int(
169.32/169.59	                                                      times_times_int,
169.32/169.59	                                                      hAPP_int_int(number_number_of_int,
169.32/169.59	                                                                   hAPP_int_int(
169.32/169.59	                                                                   bit0,
169.32/169.59	                                                                   hAPP_int_int(
169.32/169.59	                                                                   bit0,
169.32/169.59	                                                                   hAPP_int_int(
169.32/169.59	                                                                   bit1,pls))))),
169.32/169.59	                                                      m)),
169.32/169.59	                    one_one_int))))).
169.32/169.59	tff('31', plain,
169.32/169.59	    (hAPP_int_int(
169.32/169.59	       hAPP_int_fun_int_int(plus_plus_int, 
169.32/169.59	         hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int, sk_X), 
169.32/169.59	           hAPP_int_nat(number_number_of_nat, 
169.32/169.59	             hAPP_int_int(bit0, hAPP_int_int(bit1, pls))))), 
169.32/169.59	       hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int, sk_Y), 
169.32/169.59	         hAPP_int_nat(number_number_of_nat, 
169.32/169.59	           hAPP_int_int(bit0, hAPP_int_int(bit1, pls)))))
169.32/169.59	      = hAPP_int_int(
169.32/169.59	          hAPP_int_fun_int_int(plus_plus_int, 
169.32/169.59	            hAPP_int_int(
169.32/169.59	              hAPP_int_fun_int_int(times_times_int, 
169.32/169.59	                hAPP_int_int(number_number_of_int, 
169.32/169.59	                  hAPP_int_int(bit0, 
169.32/169.59	                    hAPP_int_int(bit0, hAPP_int_int(bit1, pls))))), m)), 
169.32/169.59	          one_one_int)
169.32/169.59	     | t != one_one_int),
169.32/169.59	    inference('cnf', [status(esa)],
169.32/169.59	              [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])).
169.32/169.59	tff('32', plain,
169.32/169.59	    (hAPP_int_int(
169.32/169.59	       hAPP_int_fun_int_int(plus_plus_int, 
169.32/169.59	         hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int, sk_X), 
169.32/169.59	           hAPP_int_nat(number_number_of_nat, 
169.32/169.59	             hAPP_int_int(bit0, hAPP_int_int(bit1, zero_zero_int))))), 
169.32/169.59	       hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int, sk_Y), 
169.32/169.59	         hAPP_int_nat(number_number_of_nat, 
169.32/169.59	           hAPP_int_int(bit0, hAPP_int_int(bit1, zero_zero_int)))))
169.32/169.59	      = hAPP_int_int(
169.32/169.59	          hAPP_int_fun_int_int(plus_plus_int, 
169.32/169.59	            hAPP_int_int(
169.32/169.59	              hAPP_int_fun_int_int(times_times_int, 
169.32/169.59	                hAPP_int_int(number_number_of_int, 
169.32/169.59	                  hAPP_int_int(bit0, 
169.32/169.59	                    hAPP_int_int(bit0, hAPP_int_int(bit1, zero_zero_int))))), 
169.32/169.59	              m)), one_one_int)
169.32/169.59	     | t != one_one_int),
169.32/169.59	    inference('demod', [status(thm)], ['31', '6', '6', '6'])).
169.32/169.59	tff('33', plain,
169.32/169.59	    (hAPP_int_int(
169.32/169.59	       hAPP_int_fun_int_int(plus_plus_int, 
169.32/169.59	         hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int, sk_X), 
169.32/169.59	           hAPP_int_nat(number_number_of_nat, 
169.32/169.59	             hAPP_int_int(bit0, hAPP_int_int(bit1, zero_zero_int))))), 
169.32/169.59	       hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int, sk_Y), 
169.32/169.59	         hAPP_int_nat(number_number_of_nat, 
169.32/169.59	           hAPP_int_int(bit0, hAPP_int_int(bit1, zero_zero_int)))))
169.32/169.59	      = hAPP_int_int(
169.32/169.59	          hAPP_int_fun_int_int(plus_plus_int, 
169.32/169.59	            hAPP_int_int(
169.32/169.59	              hAPP_int_fun_int_int(times_times_int, 
169.32/169.59	                hAPP_int_int(bit0, 
169.32/169.59	                  hAPP_int_int(bit0, hAPP_int_int(bit1, zero_zero_int)))), m)), 
169.32/169.59	          one_one_int)
169.32/169.59	     | t != one_one_int),
169.32/169.59	    inference('demod', [status(thm)], ['32', '8'])).
169.32/169.59	tff('34', plain,
169.32/169.59	    (hAPP_int_int(
169.32/169.59	       hAPP_int_fun_int_int(plus_plus_int, 
169.32/169.59	         hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int, sk_X), 
169.32/169.59	           hAPP_nat_nat(suc, one_one_nat))), 
169.32/169.59	       hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int, sk_Y), 
169.32/169.59	         hAPP_nat_nat(suc, one_one_nat)))
169.32/169.59	      = hAPP_int_int(bit1, hAPP_int_int(bit0, m))
169.32/169.59	     | t != one_one_int),
169.32/169.59	    inference('demod', [status(thm)],
169.32/169.59	              ['33', '11', '15', '11', '15', '11', '16', '16', '17', '18', 
169.32/169.59	               '20', '21'])).
169.32/169.59	tff('35', plain, t != one_one_int,
169.32/169.59	    inference('simplify_reflect-', [status(thm)], ['34', '24'])).
169.32/169.59	tff('36', plain, hBOOL(fFalse),
169.32/169.59	    inference('simplify_reflect-', [status(thm)], ['30', '35'])).
169.32/169.59	tff(help_fFalse_1_1_U, axiom, (~hBOOL(fFalse))).
169.32/169.59	tff('37', plain, ~ hBOOL(fFalse),
169.32/169.59	    inference('cnf', [status(esa)], [help_fFalse_1_1_U])).
169.32/169.59	tff('38', plain, ~ $true, inference('sup-', [status(thm)], ['36', '37'])).
169.32/169.59	tff('39', plain, $false, inference('simplify', [status(thm)], ['38'])).
169.32/169.59	
169.32/169.59	% SZS output end Refutation
169.40/169.60	EOF
