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
0.00/0.19	% Computer   : n106.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 07:38:39 CST 2018
165.39/165.59	% done 52905 iterations in 165.399s
165.39/165.59	% SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
165.39/165.59	% SZS output start Refutation
165.39/165.60	tff(fact_0_tpos, axiom,
165.39/165.60	  (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,one_one_int),t)))).
165.39/165.60	tff('0', plain,
165.39/165.60	    hBOOL(
165.39/165.60	      hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int, one_one_int), t)),
165.39/165.60	    inference('cnf', [status(esa)], [fact_0_tpos])).
165.39/165.60	tff(fact_65_zless__le, axiom,
165.39/165.60	  (![Z_2:int,W_1:int]:
165.39/165.60	     (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Z_2),W_1)) <=>
165.39/165.60	      ((Z_2 != W_1) & 
165.39/165.60	       hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,Z_2),W_1)))))).
165.39/165.60	tff('1', plain,
165.39/165.60	    ![X62 : int, X63 : int]:
165.39/165.60	      (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int, X62), X63))
165.39/165.60	       | ~ hBOOL(
165.39/165.60	             hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int, X62), X63))
165.39/165.60	       | X62 = X63),
165.39/165.60	    inference('cnf', [status(esa)], [fact_65_zless__le])).
165.39/165.60	tff('2', plain,
165.39/165.60	    (~ $true
165.39/165.60	     | one_one_int = t
165.39/165.60	     | hBOOL(
165.39/165.60	         hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int, one_one_int), t))),
165.39/165.60	    inference('sup-', [status(thm)], ['0', '1'])).
165.39/165.60	tff('3', plain,
165.39/165.60	    (hBOOL(
165.39/165.60	       hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int, one_one_int), t))
165.39/165.60	     | one_one_int = t),
165.39/165.60	    inference('simplify', [status(thm)], ['2'])).
165.39/165.60	tff(help_fTrue_1_1_T, axiom, (![P:bool]: ((P = fFalse) | (P = fTrue)))).
165.39/165.60	tff('4', plain, ![X11620 : bool]: (X11620 = fFalse | X11620 = fTrue),
165.39/165.60	    inference('cnf', [status(esa)], [help_fTrue_1_1_T])).
165.39/165.60	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,
165.39/165.60	  (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),t)) =>
165.39/165.60	   (?[X:int,Y:int]:
165.39/165.60	      (hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,
165.39/165.60	                                         hAPP_nat_int(hAPP_int_fun_nat_int(
165.39/165.60	                                                      power_power_int,X),
165.39/165.60	                                                      hAPP_int_nat(number_number_of_nat,
165.39/165.60	                                                                   hAPP_int_int(
165.39/165.60	                                                                   bit0,
165.39/165.60	                                                                   hAPP_int_int(
165.39/165.60	                                                                   bit1,pls))))),
165.39/165.60	                    hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,Y),
165.39/165.60	                                 hAPP_int_nat(number_number_of_nat,
165.39/165.60	                                              hAPP_int_int(bit0,
165.39/165.60	                                                           hAPP_int_int(
165.39/165.60	                                                           bit1,pls))))) =
165.39/165.60	       hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,
165.39/165.60	                                         hAPP_int_int(hAPP_int_fun_int_int(
165.39/165.60	                                                      times_times_int,
165.39/165.60	                                                      hAPP_int_int(number_number_of_int,
165.39/165.60	                                                                   hAPP_int_int(
165.39/165.60	                                                                   bit0,
165.39/165.60	                                                                   hAPP_int_int(
165.39/165.60	                                                                   bit0,
165.39/165.60	                                                                   hAPP_int_int(
165.39/165.60	                                                                   bit1,pls))))),
165.39/165.60	                                                      m)),
165.39/165.60	                    one_one_int))))).
165.39/165.60	tff('5', plain,
165.39/165.60	    (hAPP_int_int(
165.39/165.60	       hAPP_int_fun_int_int(plus_plus_int, 
165.39/165.60	         hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int, sk_X1), 
165.39/165.60	           hAPP_int_nat(number_number_of_nat, 
165.39/165.60	             hAPP_int_int(bit0, hAPP_int_int(bit1, pls))))), 
165.39/165.60	       hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int, sk_Y1), 
165.39/165.60	         hAPP_int_nat(number_number_of_nat, 
165.39/165.60	           hAPP_int_int(bit0, hAPP_int_int(bit1, pls)))))
165.39/165.60	      = hAPP_int_int(
165.39/165.60	          hAPP_int_fun_int_int(plus_plus_int, 
165.39/165.60	            hAPP_int_int(
165.39/165.60	              hAPP_int_fun_int_int(times_times_int, 
165.39/165.60	                hAPP_int_int(number_number_of_int, 
165.39/165.60	                  hAPP_int_int(bit0, 
165.39/165.60	                    hAPP_int_int(bit0, hAPP_int_int(bit1, pls))))), m)), 
165.39/165.60	          one_one_int)
165.39/165.60	     | ~ hBOOL(
165.39/165.60	           hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int, one_one_int), 
165.39/165.60	             t))),
165.39/165.60	    inference('cnf', [status(esa)],
165.39/165.60	              [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])).
165.39/165.60	tff(fact_644_Pls__def, axiom, (pls = zero_zero_int)).
165.39/165.60	tff('6', plain, pls = zero_zero_int,
165.39/165.60	    inference('cnf', [status(esa)], [fact_644_Pls__def])).
165.39/165.60	tff('7', plain,
165.39/165.60	    (hAPP_int_int(
165.39/165.60	       hAPP_int_fun_int_int(plus_plus_int, 
165.39/165.60	         hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int, sk_X1), 
165.39/165.60	           hAPP_int_nat(number_number_of_nat, 
165.39/165.60	             hAPP_int_int(bit0, hAPP_int_int(bit1, zero_zero_int))))), 
165.39/165.60	       hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int, sk_Y1), 
165.39/165.60	         hAPP_int_nat(number_number_of_nat, 
165.39/165.60	           hAPP_int_int(bit0, hAPP_int_int(bit1, zero_zero_int)))))
165.39/165.60	      = hAPP_int_int(
165.39/165.60	          hAPP_int_fun_int_int(plus_plus_int, 
165.39/165.60	            hAPP_int_int(
165.39/165.60	              hAPP_int_fun_int_int(times_times_int, 
165.39/165.60	                hAPP_int_int(number_number_of_int, 
165.39/165.60	                  hAPP_int_int(bit0, 
165.39/165.60	                    hAPP_int_int(bit0, hAPP_int_int(bit1, zero_zero_int))))), 
165.39/165.60	              m)), one_one_int)
165.39/165.60	     | ~ hBOOL(
165.39/165.60	           hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int, one_one_int), 
165.39/165.60	             t))),
165.39/165.60	    inference('demod', [status(thm)], ['5', '6', '6', '6'])).
165.39/165.60	tff(fact_262_number__of__is__id, axiom,
165.39/165.60	  (![K_2:int]: (hAPP_int_int(number_number_of_int,K_2) = K_2))).
165.39/165.60	tff('8', plain,
165.39/165.60	    ![X612 : int]: hAPP_int_int(number_number_of_int, X612) = X612,
165.39/165.60	    inference('cnf', [status(esa)], [fact_262_number__of__is__id])).
165.39/165.60	tff('9', plain,
165.39/165.60	    (hAPP_int_int(
165.39/165.60	       hAPP_int_fun_int_int(plus_plus_int, 
165.39/165.60	         hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int, sk_X1), 
165.39/165.60	           hAPP_int_nat(number_number_of_nat, 
165.39/165.60	             hAPP_int_int(bit0, hAPP_int_int(bit1, zero_zero_int))))), 
165.39/165.60	       hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int, sk_Y1), 
165.39/165.60	         hAPP_int_nat(number_number_of_nat, 
165.39/165.60	           hAPP_int_int(bit0, hAPP_int_int(bit1, zero_zero_int)))))
165.39/165.60	      = hAPP_int_int(
165.39/165.60	          hAPP_int_fun_int_int(plus_plus_int, 
165.39/165.60	            hAPP_int_int(
165.39/165.60	              hAPP_int_fun_int_int(times_times_int, 
165.39/165.60	                hAPP_int_int(bit0, 
165.39/165.60	                  hAPP_int_int(bit0, hAPP_int_int(bit1, zero_zero_int)))), m)), 
165.39/165.60	          one_one_int)
165.39/165.60	     | ~ hBOOL(
165.39/165.60	           hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int, one_one_int), 
165.39/165.60	             t))),
165.39/165.60	    inference('demod', [status(thm)], ['7', '8'])).
165.39/165.60	tff(fact_460_semiring__numeral__1__eq__1, axiom,
165.39/165.60	  (hAPP_int_int(number_number_of_int,hAPP_int_int(bit1,pls)) = one_one_int)).
165.39/165.60	tff('10', plain,
165.39/165.60	    hAPP_int_int(number_number_of_int, hAPP_int_int(bit1, pls)) = one_one_int,
165.39/165.60	    inference('cnf', [status(esa)], [fact_460_semiring__numeral__1__eq__1])).
165.39/165.60	tff('11', plain, hAPP_int_int(bit1, zero_zero_int) = one_one_int,
165.39/165.60	    inference('demod', [status(thm)], ['10', '6', '8'])).
165.39/165.60	tff(fact_107_nat__1__add__1, axiom,
165.39/165.60	  (hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,one_one_nat),one_one_nat) =
165.39/165.60	   hAPP_int_nat(number_number_of_nat,
165.39/165.60	                hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))).
165.39/165.60	tff('12', plain,
165.39/165.60	    hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat, one_one_nat), 
165.39/165.60	      one_one_nat)
165.39/165.60	     = hAPP_int_nat(number_number_of_nat, 
165.39/165.60	         hAPP_int_int(bit0, hAPP_int_int(bit1, pls))),
165.39/165.60	    inference('cnf', [status(esa)], [fact_107_nat__1__add__1])).
165.39/165.60	tff('13', plain,
165.39/165.60	    hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat, one_one_nat), 
165.39/165.60	      one_one_nat)
165.39/165.60	     = hAPP_int_nat(number_number_of_nat, hAPP_int_int(bit0, one_one_int)),
165.39/165.60	    inference('demod', [status(thm)], ['12', '6', '11'])).
165.39/165.60	tff(fact_3072_Suc__eq__plus1, axiom,
165.39/165.60	  (![N_1:nat]:
165.39/165.60	     (hAPP_nat_nat(suc,N_1) =
165.39/165.60	      hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,N_1),one_one_nat)))).
165.39/165.60	tff('14', plain,
165.39/165.60	    ![X7308 : nat]:
165.39/165.60	      hAPP_nat_nat(suc, X7308)
165.39/165.60	       = hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat, X7308), 
165.39/165.60	           one_one_nat),
165.39/165.60	    inference('cnf', [status(esa)], [fact_3072_Suc__eq__plus1])).
165.39/165.60	tff('15', plain,
165.39/165.60	    hAPP_nat_nat(suc, one_one_nat)
165.39/165.60	     = hAPP_int_nat(number_number_of_nat, hAPP_int_int(bit0, one_one_int)),
165.39/165.60	    inference('demod', [status(thm)], ['13', '14'])).
165.39/165.60	tff(fact_356_mult__Bit0, axiom,
165.39/165.60	  (![K_2:int,L_2:int]:
165.39/165.60	     (hAPP_int_int(hAPP_int_fun_int_int(times_times_int,
165.39/165.60	                                        hAPP_int_int(bit0,K_2)),
165.39/165.60	                   L_2) =
165.39/165.60	      hAPP_int_int(bit0,
165.39/165.60	                   hAPP_int_int(hAPP_int_fun_int_int(times_times_int,K_2),L_2))))).
165.39/165.60	tff('16', plain,
165.39/165.60	    ![X845 : int, X846 : int]:
165.39/165.60	      hAPP_int_int(
165.39/165.60	        hAPP_int_fun_int_int(times_times_int, hAPP_int_int(bit0, X845)), 
165.39/165.60	        X846)
165.39/165.60	       = hAPP_int_int(bit0, 
165.39/165.60	           hAPP_int_int(hAPP_int_fun_int_int(times_times_int, X845), X846)),
165.39/165.60	    inference('cnf', [status(esa)], [fact_356_mult__Bit0])).
165.39/165.60	tff(fact_334_comm__semiring__1__class_Onormalizing__semiring__rules_I11_J, axiom,
165.39/165.60	  (![A_227:int]:
165.39/165.60	     (hAPP_int_int(hAPP_int_fun_int_int(times_times_int,one_one_int),A_227) =
165.39/165.60	      A_227))).
165.39/165.60	tff('17', plain,
165.39/165.60	    ![X806 : int]:
165.39/165.60	      hAPP_int_int(hAPP_int_fun_int_int(times_times_int, one_one_int), X806)
165.39/165.60	       = X806,
165.39/165.60	    inference('cnf', [status(esa)],
165.39/165.60	              [fact_334_comm__semiring__1__class_Onormalizing__semiring__rules_I11_J])).
165.39/165.60	tff(fact_241_comm__semiring__1__class_Onormalizing__semiring__rules_I24_J, axiom,
165.39/165.60	  (![A_232:int,C_92:int]:
165.39/165.60	     (hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A_232),C_92) =
165.39/165.60	      hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,C_92),A_232)))).
165.39/165.60	tff('18', plain,
165.39/165.60	    ![X556 : int, X557 : int]:
165.39/165.60	      hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int, X557), X556)
165.39/165.60	       = hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int, X556), X557),
165.39/165.60	    inference('cnf', [status(esa)],
165.39/165.60	              [fact_241_comm__semiring__1__class_Onormalizing__semiring__rules_I24_J])).
165.39/165.60	tff(fact_3298_succ__def, axiom,
165.39/165.60	  (![K_2:int]:
165.39/165.60	     (hAPP_int_int(succ,K_2) =
165.39/165.60	      hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,K_2),one_one_int)))).
165.39/165.60	tff('19', plain,
165.39/165.60	    ![X7763 : int]:
165.39/165.60	      hAPP_int_int(succ, X7763)
165.39/165.60	       = hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int, X7763), 
165.39/165.60	           one_one_int),
165.39/165.60	    inference('cnf', [status(esa)], [fact_3298_succ__def])).
165.39/165.60	tff('20', plain,
165.39/165.60	    ![X0 : int]:
165.39/165.60	      hAPP_int_int(succ, X0)
165.39/165.60	       = hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int, one_one_int), X0),
165.39/165.60	    inference('sup+', [status(thm)], ['18', '19'])).
165.39/165.60	tff(fact_3296_succ__Bit0, axiom,
165.39/165.60	  (![K_2:int]:
165.39/165.60	     (hAPP_int_int(succ,hAPP_int_int(bit0,K_2)) = hAPP_int_int(bit1,K_2)))).
165.39/165.60	tff('21', plain,
165.39/165.60	    ![X7761 : int]:
165.39/165.60	      hAPP_int_int(succ, hAPP_int_int(bit0, X7761))
165.39/165.60	       = hAPP_int_int(bit1, X7761),
165.39/165.60	    inference('cnf', [status(esa)], [fact_3296_succ__Bit0])).
165.39/165.60	tff('22', plain,
165.39/165.60	    (hAPP_int_int(
165.39/165.60	       hAPP_int_fun_int_int(plus_plus_int, 
165.39/165.60	         hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int, sk_X1), 
165.39/165.60	           hAPP_nat_nat(suc, one_one_nat))), 
165.39/165.60	       hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int, sk_Y1), 
165.39/165.60	         hAPP_nat_nat(suc, one_one_nat)))
165.39/165.60	      = hAPP_int_int(bit1, hAPP_int_int(bit0, m))
165.39/165.60	     | ~ hBOOL(
165.39/165.60	           hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int, one_one_int), 
165.39/165.60	             t))),
165.39/165.60	    inference('demod', [status(thm)],
165.39/165.60	              ['9', '11', '15', '11', '15', '11', '16', '16', '17', '18', 
165.39/165.60	               '20', '21'])).
165.39/165.60	tff(conj_0, conjecture,
165.39/165.60	  (?[X:int,Y:int]:
165.39/165.60	     (hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,
165.39/165.60	                                        hAPP_nat_int(hAPP_int_fun_nat_int(
165.39/165.60	                                                     power_power_int,X),
165.39/165.60	                                                     hAPP_int_nat(number_number_of_nat,
165.39/165.60	                                                                  hAPP_int_int(
165.39/165.60	                                                                  bit0,
165.39/165.60	                                                                  hAPP_int_int(
165.39/165.60	                                                                  bit1,pls))))),
165.39/165.60	                   hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,Y),
165.39/165.60	                                hAPP_int_nat(number_number_of_nat,
165.39/165.60	                                             hAPP_int_int(bit0,
165.39/165.60	                                                          hAPP_int_int(
165.39/165.60	                                                          bit1,pls))))) =
165.39/165.60	      hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,
165.39/165.60	                                        hAPP_int_int(hAPP_int_fun_int_int(
165.39/165.60	                                                     times_times_int,
165.39/165.60	                                                     hAPP_int_int(number_number_of_int,
165.39/165.60	                                                                  hAPP_int_int(
165.39/165.60	                                                                  bit0,
165.39/165.60	                                                                  hAPP_int_int(
165.39/165.60	                                                                  bit0,
165.39/165.60	                                                                  hAPP_int_int(
165.39/165.60	                                                                  bit1,pls))))),
165.39/165.60	                                                     m)),
165.39/165.60	                   one_one_int)))).
165.39/165.60	tff(zf_stmt_0, negated_conjecture,
165.39/165.60	  (~
165.39/165.60	    (?[X:int,Y:int]:
165.39/165.60	       (hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,
165.39/165.60	                                          hAPP_nat_int(hAPP_int_fun_nat_int(
165.39/165.60	                                                       power_power_int,X),
165.39/165.60	                                                       hAPP_int_nat(number_number_of_nat,
165.39/165.60	                                                                    hAPP_int_int(
165.39/165.60	                                                                    bit0,
165.39/165.60	                                                                    hAPP_int_int(
165.39/165.60	                                                                    bit1,pls))))),
165.39/165.60	                     hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,Y),
165.39/165.60	                                  hAPP_int_nat(number_number_of_nat,
165.39/165.60	                                               hAPP_int_int(bit0,
165.39/165.60	                                                            hAPP_int_int(
165.39/165.60	                                                            bit1,pls))))) =
165.39/165.60	        hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,
165.39/165.60	                                          hAPP_int_int(hAPP_int_fun_int_int(
165.39/165.60	                                                       times_times_int,
165.39/165.60	                                                       hAPP_int_int(number_number_of_int,
165.39/165.60	                                                                    hAPP_int_int(
165.39/165.60	                                                                    bit0,
165.39/165.60	                                                                    hAPP_int_int(
165.39/165.60	                                                                    bit0,
165.39/165.60	                                                                    hAPP_int_int(
165.39/165.60	                                                                    bit1,pls))))),
165.39/165.60	                                                       m)),
165.39/165.60	                     one_one_int))))).
165.39/165.60	tff('23', plain,
165.39/165.60	    ![X12228 : int, X12229 : int]:
165.39/165.60	      hAPP_int_int(
165.39/165.60	        hAPP_int_fun_int_int(plus_plus_int, 
165.39/165.60	          hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int, X12228), 
165.39/165.60	            hAPP_int_nat(number_number_of_nat, 
165.39/165.60	              hAPP_int_int(bit0, hAPP_int_int(bit1, pls))))), 
165.39/165.60	        hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int, X12229), 
165.39/165.60	          hAPP_int_nat(number_number_of_nat, 
165.39/165.60	            hAPP_int_int(bit0, hAPP_int_int(bit1, pls)))))
165.39/165.60	       != hAPP_int_int(
165.39/165.60	            hAPP_int_fun_int_int(plus_plus_int, 
165.39/165.60	              hAPP_int_int(
165.39/165.60	                hAPP_int_fun_int_int(times_times_int, 
165.39/165.60	                  hAPP_int_int(number_number_of_int, 
165.39/165.60	                    hAPP_int_int(bit0, 
165.39/165.60	                      hAPP_int_int(bit0, hAPP_int_int(bit1, pls))))), m)), 
165.39/165.60	            one_one_int),
165.39/165.60	    inference('cnf', [status(esa)], [zf_stmt_0])).
165.39/165.60	tff('24', plain,
165.39/165.60	    ![X12228 : int, X12229 : int]:
165.39/165.60	      hAPP_int_int(
165.39/165.60	        hAPP_int_fun_int_int(plus_plus_int, 
165.39/165.60	          hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int, X12228), 
165.39/165.60	            hAPP_nat_nat(suc, one_one_nat))), 
165.39/165.60	        hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int, X12229), 
165.39/165.60	          hAPP_nat_nat(suc, one_one_nat)))
165.39/165.60	       != hAPP_int_int(bit1, hAPP_int_int(bit0, m)),
165.39/165.60	    inference('demod', [status(thm)],
165.39/165.60	              ['23', '6', '11', '15', '6', '11', '15', '6', '11', '8', '16', 
165.39/165.60	               '16', '17', '18', '20', '21'])).
165.39/165.60	tff('25', plain,
165.39/165.60	    ~ hBOOL(
165.39/165.60	        hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int, one_one_int), t)),
165.39/165.60	    inference('simplify_reflect-', [status(thm)], ['22', '24'])).
165.39/165.60	tff('26', plain,
165.39/165.60	    (~ hBOOL(fTrue)
165.39/165.60	     | hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int, one_one_int), t)
165.39/165.60	        = fFalse),
165.39/165.60	    inference('sup-', [status(thm)], ['4', '25'])).
165.39/165.60	tff(help_fTrue_1_1_U, axiom, (hBOOL(fTrue))).
165.39/165.60	tff('27', plain, hBOOL(fTrue),
165.39/165.60	    inference('cnf', [status(esa)], [help_fTrue_1_1_U])).
165.39/165.60	tff('28', plain,
165.39/165.60	    (~ $true
165.39/165.60	     | hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int, one_one_int), t)
165.39/165.60	        = fFalse),
165.39/165.60	    inference('demod', [status(thm)], ['26', '27'])).
165.39/165.60	tff('29', plain,
165.39/165.60	    hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int, one_one_int), t)
165.39/165.60	     = fFalse,
165.39/165.60	    inference('simplify', [status(thm)], ['28'])).
165.39/165.60	tff('30', plain, (hBOOL(fFalse) | one_one_int = t),
165.39/165.60	    inference('demod', [status(thm)], ['3', '29'])).
165.39/165.60	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,
165.39/165.60	  ((t = one_one_int) =>
165.39/165.60	   (?[X:int,Y:int]:
165.39/165.60	      (hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,
165.39/165.60	                                         hAPP_nat_int(hAPP_int_fun_nat_int(
165.39/165.60	                                                      power_power_int,X),
165.39/165.60	                                                      hAPP_int_nat(number_number_of_nat,
165.39/165.60	                                                                   hAPP_int_int(
165.39/165.60	                                                                   bit0,
165.39/165.60	                                                                   hAPP_int_int(
165.39/165.60	                                                                   bit1,pls))))),
165.39/165.60	                    hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,Y),
165.39/165.60	                                 hAPP_int_nat(number_number_of_nat,
165.39/165.60	                                              hAPP_int_int(bit0,
165.39/165.60	                                                           hAPP_int_int(
165.39/165.60	                                                           bit1,pls))))) =
165.39/165.60	       hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,
165.39/165.60	                                         hAPP_int_int(hAPP_int_fun_int_int(
165.39/165.60	                                                      times_times_int,
165.39/165.60	                                                      hAPP_int_int(number_number_of_int,
165.39/165.60	                                                                   hAPP_int_int(
165.39/165.60	                                                                   bit0,
165.39/165.60	                                                                   hAPP_int_int(
165.39/165.60	                                                                   bit0,
165.39/165.60	                                                                   hAPP_int_int(
165.39/165.60	                                                                   bit1,pls))))),
165.39/165.60	                                                      m)),
165.39/165.60	                    one_one_int))))).
165.39/165.60	tff('31', plain,
165.39/165.60	    (hAPP_int_int(
165.39/165.60	       hAPP_int_fun_int_int(plus_plus_int, 
165.39/165.60	         hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int, sk_X), 
165.39/165.60	           hAPP_int_nat(number_number_of_nat, 
165.39/165.60	             hAPP_int_int(bit0, hAPP_int_int(bit1, pls))))), 
165.39/165.60	       hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int, sk_Y), 
165.39/165.60	         hAPP_int_nat(number_number_of_nat, 
165.39/165.60	           hAPP_int_int(bit0, hAPP_int_int(bit1, pls)))))
165.39/165.60	      = hAPP_int_int(
165.39/165.60	          hAPP_int_fun_int_int(plus_plus_int, 
165.39/165.60	            hAPP_int_int(
165.39/165.60	              hAPP_int_fun_int_int(times_times_int, 
165.39/165.60	                hAPP_int_int(number_number_of_int, 
165.39/165.60	                  hAPP_int_int(bit0, 
165.39/165.60	                    hAPP_int_int(bit0, hAPP_int_int(bit1, pls))))), m)), 
165.39/165.60	          one_one_int)
165.39/165.60	     | t != one_one_int),
165.39/165.60	    inference('cnf', [status(esa)],
165.39/165.60	              [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])).
165.39/165.60	tff('32', plain,
165.39/165.60	    (hAPP_int_int(
165.39/165.60	       hAPP_int_fun_int_int(plus_plus_int, 
165.39/165.60	         hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int, sk_X), 
165.39/165.60	           hAPP_int_nat(number_number_of_nat, 
165.39/165.60	             hAPP_int_int(bit0, hAPP_int_int(bit1, zero_zero_int))))), 
165.39/165.60	       hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int, sk_Y), 
165.39/165.60	         hAPP_int_nat(number_number_of_nat, 
165.39/165.60	           hAPP_int_int(bit0, hAPP_int_int(bit1, zero_zero_int)))))
165.39/165.60	      = hAPP_int_int(
165.39/165.60	          hAPP_int_fun_int_int(plus_plus_int, 
165.39/165.60	            hAPP_int_int(
165.39/165.60	              hAPP_int_fun_int_int(times_times_int, 
165.39/165.60	                hAPP_int_int(number_number_of_int, 
165.39/165.60	                  hAPP_int_int(bit0, 
165.39/165.60	                    hAPP_int_int(bit0, hAPP_int_int(bit1, zero_zero_int))))), 
165.39/165.60	              m)), one_one_int)
165.39/165.60	     | t != one_one_int),
165.39/165.60	    inference('demod', [status(thm)], ['31', '6', '6', '6'])).
165.39/165.60	tff('33', plain,
165.39/165.60	    (hAPP_int_int(
165.39/165.60	       hAPP_int_fun_int_int(plus_plus_int, 
165.39/165.60	         hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int, sk_X), 
165.39/165.60	           hAPP_int_nat(number_number_of_nat, 
165.39/165.60	             hAPP_int_int(bit0, hAPP_int_int(bit1, zero_zero_int))))), 
165.39/165.60	       hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int, sk_Y), 
165.39/165.60	         hAPP_int_nat(number_number_of_nat, 
165.39/165.60	           hAPP_int_int(bit0, hAPP_int_int(bit1, zero_zero_int)))))
165.39/165.60	      = hAPP_int_int(
165.39/165.60	          hAPP_int_fun_int_int(plus_plus_int, 
165.39/165.60	            hAPP_int_int(
165.39/165.60	              hAPP_int_fun_int_int(times_times_int, 
165.39/165.60	                hAPP_int_int(bit0, 
165.39/165.60	                  hAPP_int_int(bit0, hAPP_int_int(bit1, zero_zero_int)))), m)), 
165.39/165.60	          one_one_int)
165.39/165.60	     | t != one_one_int),
165.39/165.60	    inference('demod', [status(thm)], ['32', '8'])).
165.39/165.60	tff('34', plain,
165.39/165.60	    (hAPP_int_int(
165.39/165.60	       hAPP_int_fun_int_int(plus_plus_int, 
165.39/165.60	         hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int, sk_X), 
165.39/165.60	           hAPP_nat_nat(suc, one_one_nat))), 
165.39/165.60	       hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int, sk_Y), 
165.39/165.60	         hAPP_nat_nat(suc, one_one_nat)))
165.39/165.60	      = hAPP_int_int(bit1, hAPP_int_int(bit0, m))
165.39/165.60	     | t != one_one_int),
165.39/165.60	    inference('demod', [status(thm)],
165.39/165.60	              ['33', '11', '15', '11', '15', '11', '16', '16', '17', '18', 
165.39/165.60	               '20', '21'])).
165.39/165.60	tff('35', plain, t != one_one_int,
165.39/165.60	    inference('simplify_reflect-', [status(thm)], ['34', '24'])).
165.39/165.60	tff('36', plain, hBOOL(fFalse),
165.39/165.60	    inference('simplify_reflect-', [status(thm)], ['30', '35'])).
165.39/165.60	tff(help_fFalse_1_1_U, axiom, (~hBOOL(fFalse))).
165.39/165.60	tff('37', plain, ~ hBOOL(fFalse),
165.39/165.60	    inference('cnf', [status(esa)], [help_fFalse_1_1_U])).
165.39/165.60	tff('38', plain, ~ $true, inference('sup-', [status(thm)], ['36', '37'])).
165.39/165.60	tff('39', plain, $false, inference('simplify', [status(thm)], ['38'])).
165.39/165.60	
165.39/165.60	% SZS output end Refutation
165.41/165.60	EOF
