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    : 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   : n143.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 07:31:53 CST 2018
157.12/157.34	% done 51503 iterations in 157.140s
157.12/157.34	% SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
157.12/157.34	% SZS output start Refutation
157.12/157.34	tff(fact_2__096_I4_A_K_Am_A_L_A1_J_A_K_At_A_060_A_I4_A_K_Am_A_L_A1_J_A_K_A0_096, axiom,
157.12/157.34	  (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,
157.12/157.34	                                              hAPP_int_int(hAPP_int_fun_int_int(
157.12/157.34	                                                           times_times_int,
157.12/157.34	                                                           hAPP_int_int(
157.12/157.34	                                                           hAPP_int_fun_int_int(
157.12/157.34	                                                           plus_plus_int,
157.12/157.34	                                                           hAPP_int_int(
157.12/157.34	                                                           hAPP_int_fun_int_int(
157.12/157.34	                                                           times_times_int,
157.12/157.34	                                                           hAPP_int_int(
157.12/157.34	                                                           number_number_of_int,
157.12/157.34	                                                           hAPP_int_int(
157.12/157.34	                                                           bit0,
157.12/157.34	                                                           hAPP_int_int(
157.12/157.34	                                                           bit0,
157.12/157.34	                                                           hAPP_int_int(
157.12/157.34	                                                           bit1,pls))))),m)),
157.12/157.34	                                                           one_one_int)),t)),
157.12/157.34	                       hAPP_int_int(hAPP_int_fun_int_int(times_times_int,
157.12/157.34	                                                         hAPP_int_int(
157.12/157.34	                                                         hAPP_int_fun_int_int(
157.12/157.34	                                                         plus_plus_int,
157.12/157.34	                                                         hAPP_int_int(
157.12/157.34	                                                         hAPP_int_fun_int_int(
157.12/157.34	                                                         times_times_int,
157.12/157.34	                                                         hAPP_int_int(
157.12/157.34	                                                         number_number_of_int,
157.12/157.34	                                                         hAPP_int_int(
157.12/157.34	                                                         bit0,
157.12/157.34	                                                         hAPP_int_int(
157.12/157.34	                                                         bit0,
157.12/157.34	                                                         hAPP_int_int(
157.12/157.34	                                                         bit1,pls))))),m)),
157.12/157.34	                                                         one_one_int)),
157.12/157.34	                                    zero_zero_int))))).
157.12/157.34	tff('0', plain,
157.12/157.34	    hBOOL(
157.12/157.34	      hAPP_int_bool(
157.12/157.34	        hAPP_i1948725293t_bool(ord_less_int, 
157.12/157.34	          hAPP_int_int(
157.12/157.34	            hAPP_int_fun_int_int(times_times_int, 
157.12/157.34	              hAPP_int_int(
157.12/157.34	                hAPP_int_fun_int_int(plus_plus_int, 
157.12/157.34	                  hAPP_int_int(
157.12/157.34	                    hAPP_int_fun_int_int(times_times_int, 
157.12/157.34	                      hAPP_int_int(number_number_of_int, 
157.12/157.34	                        hAPP_int_int(bit0, 
157.12/157.34	                          hAPP_int_int(bit0, hAPP_int_int(bit1, pls))))), m)), 
157.12/157.34	                one_one_int)), t)), 
157.12/157.34	        hAPP_int_int(
157.12/157.34	          hAPP_int_fun_int_int(times_times_int, 
157.12/157.34	            hAPP_int_int(
157.12/157.34	              hAPP_int_fun_int_int(plus_plus_int, 
157.12/157.34	                hAPP_int_int(
157.12/157.34	                  hAPP_int_fun_int_int(times_times_int, 
157.12/157.34	                    hAPP_int_int(number_number_of_int, 
157.12/157.34	                      hAPP_int_int(bit0, 
157.12/157.34	                        hAPP_int_int(bit0, hAPP_int_int(bit1, pls))))), m)), 
157.12/157.34	              one_one_int)), zero_zero_int))),
157.12/157.34	    inference('cnf', [status(esa)],
157.12/157.34	              [fact_2__096_I4_A_K_Am_A_L_A1_J_A_K_At_A_060_A_I4_A_K_Am_A_L_A1_J_A_K_A0_096])).
157.12/157.34	tff(fact_256_Pls__def, axiom, (pls = zero_zero_int)).
157.12/157.34	tff('1', plain, pls = zero_zero_int,
157.12/157.34	    inference('cnf', [status(esa)], [fact_256_Pls__def])).
157.12/157.34	tff('2', plain,
157.12/157.34	    hBOOL(
157.12/157.34	      hAPP_int_bool(
157.12/157.34	        hAPP_i1948725293t_bool(ord_less_int, 
157.12/157.34	          hAPP_int_int(
157.12/157.34	            hAPP_int_fun_int_int(times_times_int, 
157.12/157.34	              hAPP_int_int(
157.12/157.34	                hAPP_int_fun_int_int(plus_plus_int, 
157.12/157.34	                  hAPP_int_int(
157.12/157.34	                    hAPP_int_fun_int_int(times_times_int, 
157.12/157.34	                      hAPP_int_int(number_number_of_int, 
157.12/157.34	                        hAPP_int_int(bit0, 
157.12/157.34	                          hAPP_int_int(bit0, 
157.12/157.34	                            hAPP_int_int(bit1, zero_zero_int))))), m)), 
157.12/157.34	                one_one_int)), t)), 
157.12/157.34	        hAPP_int_int(
157.12/157.34	          hAPP_int_fun_int_int(times_times_int, 
157.12/157.34	            hAPP_int_int(
157.12/157.34	              hAPP_int_fun_int_int(plus_plus_int, 
157.12/157.34	                hAPP_int_int(
157.12/157.34	                  hAPP_int_fun_int_int(times_times_int, 
157.12/157.34	                    hAPP_int_int(number_number_of_int, 
157.12/157.34	                      hAPP_int_int(bit0, 
157.12/157.34	                        hAPP_int_int(bit0, hAPP_int_int(bit1, zero_zero_int))))), 
157.12/157.34	                  m)), one_one_int)), zero_zero_int))),
157.12/157.34	    inference('demod', [status(thm)], ['0', '1', '1'])).
157.12/157.34	tff(fact_3_t, axiom,
157.12/157.34	  (hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,
157.12/157.34	                                     hAPP_nat_int(hAPP_int_fun_nat_int(
157.12/157.34	                                                  power_power_int,s),
157.12/157.34	                                                  hAPP_int_nat(number_number_of_nat,
157.12/157.34	                                                               hAPP_int_int(
157.12/157.34	                                                               bit0,
157.12/157.34	                                                               hAPP_int_int(
157.12/157.34	                                                               bit1,pls))))),
157.12/157.34	                one_one_int) =
157.12/157.34	   hAPP_int_int(hAPP_int_fun_int_int(times_times_int,
157.12/157.34	                                     hAPP_int_int(hAPP_int_fun_int_int(
157.12/157.34	                                                  plus_plus_int,
157.12/157.34	                                                  hAPP_int_int(hAPP_int_fun_int_int(
157.12/157.34	                                                               times_times_int,
157.12/157.34	                                                               hAPP_int_int(
157.12/157.34	                                                               number_number_of_int,
157.12/157.34	                                                               hAPP_int_int(
157.12/157.34	                                                               bit0,
157.12/157.34	                                                               hAPP_int_int(
157.12/157.34	                                                               bit0,
157.12/157.34	                                                               hAPP_int_int(
157.12/157.34	                                                               bit1,pls))))),
157.12/157.34	                                                               m)),
157.12/157.34	                                                  one_one_int)),
157.12/157.34	                t))).
157.12/157.34	tff('3', plain,
157.12/157.34	    hAPP_int_int(
157.12/157.34	      hAPP_int_fun_int_int(plus_plus_int, 
157.12/157.34	        hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int, s), 
157.12/157.34	          hAPP_int_nat(number_number_of_nat, 
157.12/157.34	            hAPP_int_int(bit0, hAPP_int_int(bit1, pls))))), one_one_int)
157.12/157.34	     = hAPP_int_int(
157.12/157.34	         hAPP_int_fun_int_int(times_times_int, 
157.12/157.34	           hAPP_int_int(
157.12/157.34	             hAPP_int_fun_int_int(plus_plus_int, 
157.12/157.34	               hAPP_int_int(
157.12/157.34	                 hAPP_int_fun_int_int(times_times_int, 
157.12/157.34	                   hAPP_int_int(number_number_of_int, 
157.12/157.34	                     hAPP_int_int(bit0, 
157.12/157.34	                       hAPP_int_int(bit0, hAPP_int_int(bit1, pls))))), m)), 
157.12/157.34	             one_one_int)), t),
157.12/157.34	    inference('cnf', [status(esa)], [fact_3_t])).
157.12/157.34	tff('4', plain,
157.12/157.34	    hAPP_int_int(
157.12/157.34	      hAPP_int_fun_int_int(plus_plus_int, 
157.12/157.34	        hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int, s), 
157.12/157.34	          hAPP_int_nat(number_number_of_nat, 
157.12/157.34	            hAPP_int_int(bit0, hAPP_int_int(bit1, zero_zero_int))))), 
157.12/157.34	      one_one_int)
157.12/157.34	     = hAPP_int_int(
157.12/157.34	         hAPP_int_fun_int_int(times_times_int, 
157.12/157.34	           hAPP_int_int(
157.12/157.34	             hAPP_int_fun_int_int(plus_plus_int, 
157.12/157.34	               hAPP_int_int(
157.12/157.34	                 hAPP_int_fun_int_int(times_times_int, 
157.12/157.34	                   hAPP_int_int(number_number_of_int, 
157.12/157.34	                     hAPP_int_int(bit0, 
157.12/157.34	                       hAPP_int_int(bit0, hAPP_int_int(bit1, zero_zero_int))))), 
157.12/157.34	                 m)), one_one_int)), t),
157.12/157.34	    inference('demod', [status(thm)], ['3', '1', '1'])).
157.12/157.34	tff('5', plain,
157.12/157.34	    hBOOL(
157.12/157.34	      hAPP_int_bool(
157.12/157.34	        hAPP_i1948725293t_bool(ord_less_int, 
157.12/157.34	          hAPP_int_int(
157.12/157.34	            hAPP_int_fun_int_int(plus_plus_int, 
157.12/157.34	              hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int, s), 
157.12/157.34	                hAPP_int_nat(number_number_of_nat, 
157.12/157.34	                  hAPP_int_int(bit0, hAPP_int_int(bit1, zero_zero_int))))), 
157.12/157.34	            one_one_int)), 
157.12/157.34	        hAPP_int_int(
157.12/157.34	          hAPP_int_fun_int_int(times_times_int, 
157.12/157.34	            hAPP_int_int(
157.12/157.34	              hAPP_int_fun_int_int(plus_plus_int, 
157.12/157.34	                hAPP_int_int(
157.12/157.34	                  hAPP_int_fun_int_int(times_times_int, 
157.12/157.34	                    hAPP_int_int(number_number_of_int, 
157.12/157.34	                      hAPP_int_int(bit0, 
157.12/157.34	                        hAPP_int_int(bit0, hAPP_int_int(bit1, zero_zero_int))))), 
157.12/157.34	                  m)), one_one_int)), zero_zero_int))),
157.12/157.34	    inference('demod', [status(thm)], ['2', '4'])).
157.12/157.34	tff(fact_243_one__is__num__one, axiom,
157.12/157.34	  (one_one_int = hAPP_int_int(number_number_of_int,hAPP_int_int(bit1,pls)))).
157.12/157.34	tff('6', plain,
157.12/157.34	    one_one_int = hAPP_int_int(number_number_of_int, hAPP_int_int(bit1, pls)),
157.12/157.34	    inference('cnf', [status(esa)], [fact_243_one__is__num__one])).
157.12/157.34	tff(fact_53_number__of__is__id, axiom,
157.12/157.34	  (![K_2:int]: (hAPP_int_int(number_number_of_int,K_2) = K_2))).
157.12/157.34	tff('7', plain, ![X50 : int]: hAPP_int_int(number_number_of_int, X50) = X50,
157.12/157.34	    inference('cnf', [status(esa)], [fact_53_number__of__is__id])).
157.12/157.34	tff('8', plain, one_one_int = hAPP_int_int(bit1, zero_zero_int),
157.12/157.34	    inference('demod', [status(thm)], ['6', '1', '7'])).
157.12/157.34	tff(fact_124_nat__1__add__1, axiom,
157.12/157.34	  (hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,one_one_nat),one_one_nat) =
157.12/157.34	   hAPP_int_nat(number_number_of_nat,
157.12/157.34	                hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))).
157.12/157.34	tff('9', plain,
157.12/157.34	    hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat, one_one_nat), 
157.12/157.34	      one_one_nat)
157.12/157.34	     = hAPP_int_nat(number_number_of_nat, 
157.12/157.34	         hAPP_int_int(bit0, hAPP_int_int(bit1, pls))),
157.12/157.34	    inference('cnf', [status(esa)], [fact_124_nat__1__add__1])).
157.12/157.34	tff(fact_3071_Suc__eq__plus1__left, axiom,
157.12/157.34	  (![N:nat]:
157.12/157.34	     (hAPP_nat_nat(suc,N) =
157.12/157.34	      hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,one_one_nat),N)))).
157.12/157.34	tff('10', plain,
157.12/157.34	    ![X7300 : nat]:
157.12/157.34	      hAPP_nat_nat(suc, X7300)
157.12/157.34	       = hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat, one_one_nat), 
157.12/157.34	           X7300),
157.12/157.34	    inference('cnf', [status(esa)], [fact_3071_Suc__eq__plus1__left])).
157.12/157.34	tff('11', plain,
157.12/157.34	    hAPP_nat_nat(suc, one_one_nat)
157.12/157.34	     = hAPP_int_nat(number_number_of_nat, hAPP_int_int(bit0, one_one_int)),
157.12/157.34	    inference('demod', [status(thm)], ['9', '10', '1', '8'])).
157.12/157.34	tff(fact_302_power2__eq__square, axiom,
157.12/157.34	  (![A_234:int]:
157.12/157.34	     (hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,A_234),
157.12/157.34	                   hAPP_int_nat(number_number_of_nat,
157.12/157.34	                                hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))) =
157.12/157.34	      hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_234),A_234)))).
157.12/157.34	tff('12', plain,
157.12/157.34	    ![X555 : int]:
157.12/157.34	      hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int, X555), 
157.12/157.34	        hAPP_int_nat(number_number_of_nat, 
157.12/157.34	          hAPP_int_int(bit0, hAPP_int_int(bit1, pls))))
157.12/157.34	       = hAPP_int_int(hAPP_int_fun_int_int(times_times_int, X555), X555),
157.12/157.34	    inference('cnf', [status(esa)], [fact_302_power2__eq__square])).
157.12/157.34	tff('13', plain,
157.12/157.34	    ![X555 : int]:
157.12/157.34	      hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int, X555), 
157.12/157.34	        hAPP_nat_nat(suc, one_one_nat))
157.12/157.34	       = hAPP_int_int(hAPP_int_fun_int_int(times_times_int, X555), X555),
157.12/157.34	    inference('demod', [status(thm)], ['12', '1', '8', '11'])).
157.12/157.34	tff(fact_199_zadd__commute, axiom,
157.12/157.34	  (![Z_1:int,W:int]:
157.12/157.34	     (hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,Z_1),W) =
157.12/157.34	      hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,W),Z_1)))).
157.12/157.34	tff('14', plain,
157.12/157.34	    ![X399 : int, X400 : int]:
157.12/157.34	      hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int, X400), X399)
157.12/157.34	       = hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int, X399), X400),
157.12/157.34	    inference('cnf', [status(esa)], [fact_199_zadd__commute])).
157.12/157.34	tff(fact_3294_succ__def, axiom,
157.12/157.34	  (![K_2:int]:
157.12/157.34	     (hAPP_int_int(succ,K_2) =
157.12/157.34	      hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,K_2),one_one_int)))).
157.12/157.34	tff('15', plain,
157.12/157.34	    ![X7749 : int]:
157.12/157.34	      hAPP_int_int(succ, X7749)
157.12/157.34	       = hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int, X7749), 
157.12/157.34	           one_one_int),
157.12/157.34	    inference('cnf', [status(esa)], [fact_3294_succ__def])).
157.12/157.34	tff('16', plain,
157.12/157.34	    ![X0 : int]:
157.12/157.34	      hAPP_int_int(succ, X0)
157.12/157.34	       = hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int, one_one_int), X0),
157.12/157.34	    inference('sup+', [status(thm)], ['14', '15'])).
157.12/157.34	tff(fact_126_mult__Bit0, axiom,
157.12/157.34	  (![K_2:int,L_2:int]:
157.12/157.34	     (hAPP_int_int(hAPP_int_fun_int_int(times_times_int,
157.12/157.34	                                        hAPP_int_int(bit0,K_2)),
157.12/157.34	                   L_2) =
157.12/157.34	      hAPP_int_int(bit0,
157.12/157.34	                   hAPP_int_int(hAPP_int_fun_int_int(times_times_int,K_2),L_2))))).
157.12/157.34	tff('17', plain,
157.12/157.34	    ![X216 : int, X217 : int]:
157.12/157.34	      hAPP_int_int(
157.12/157.34	        hAPP_int_fun_int_int(times_times_int, hAPP_int_int(bit0, X216)), 
157.12/157.34	        X217)
157.12/157.34	       = hAPP_int_int(bit0, 
157.12/157.34	           hAPP_int_int(hAPP_int_fun_int_int(times_times_int, X216), X217)),
157.12/157.34	    inference('cnf', [status(esa)], [fact_126_mult__Bit0])).
157.12/157.34	tff(fact_129_zmult__1, axiom,
157.12/157.34	  (![Z_1:int]:
157.12/157.34	     (hAPP_int_int(hAPP_int_fun_int_int(times_times_int,one_one_int),Z_1) =
157.12/157.34	      Z_1))).
157.12/157.34	tff('18', plain,
157.12/157.34	    ![X222 : int]:
157.12/157.34	      hAPP_int_int(hAPP_int_fun_int_int(times_times_int, one_one_int), X222)
157.12/157.34	       = X222,
157.12/157.34	    inference('cnf', [status(esa)], [fact_129_zmult__1])).
157.12/157.34	tff(fact_3293_succ__Bit0, axiom,
157.12/157.34	  (![K_2:int]:
157.12/157.34	     (hAPP_int_int(succ,hAPP_int_int(bit0,K_2)) = hAPP_int_int(bit1,K_2)))).
157.12/157.34	tff('19', plain,
157.12/157.34	    ![X7748 : int]:
157.12/157.34	      hAPP_int_int(succ, hAPP_int_int(bit0, X7748))
157.12/157.34	       = hAPP_int_int(bit1, X7748),
157.12/157.34	    inference('cnf', [status(esa)], [fact_3293_succ__Bit0])).
157.12/157.34	tff(fact_54_zmult__commute, axiom,
157.12/157.34	  (![Z_1:int,W:int]:
157.12/157.34	     (hAPP_int_int(hAPP_int_fun_int_int(times_times_int,Z_1),W) =
157.12/157.34	      hAPP_int_int(hAPP_int_fun_int_int(times_times_int,W),Z_1)))).
157.12/157.34	tff('20', plain,
157.12/157.34	    ![X51 : int, X52 : int]:
157.12/157.34	      hAPP_int_int(hAPP_int_fun_int_int(times_times_int, X52), X51)
157.12/157.34	       = hAPP_int_int(hAPP_int_fun_int_int(times_times_int, X51), X52),
157.12/157.34	    inference('cnf', [status(esa)], [fact_54_zmult__commute])).
157.12/157.34	tff(fact_125_mult__Pls, axiom,
157.12/157.34	  (![W:int]:
157.12/157.34	     (hAPP_int_int(hAPP_int_fun_int_int(times_times_int,pls),W) = pls))).
157.12/157.34	tff('21', plain,
157.12/157.34	    ![X215 : int]:
157.12/157.34	      hAPP_int_int(hAPP_int_fun_int_int(times_times_int, pls), X215) = pls,
157.12/157.34	    inference('cnf', [status(esa)], [fact_125_mult__Pls])).
157.12/157.34	tff('22', plain,
157.12/157.34	    ![X215 : int]:
157.12/157.34	      hAPP_int_int(hAPP_int_fun_int_int(times_times_int, zero_zero_int), 
157.12/157.34	        X215)
157.12/157.34	       = zero_zero_int,
157.12/157.34	    inference('demod', [status(thm)], ['21', '1', '1'])).
157.12/157.34	tff('23', plain,
157.12/157.34	    hBOOL(
157.12/157.34	      hAPP_int_bool(
157.12/157.34	        hAPP_i1948725293t_bool(ord_less_int, 
157.12/157.34	          hAPP_int_int(succ, 
157.12/157.34	            hAPP_int_int(hAPP_int_fun_int_int(times_times_int, s), s))), 
157.12/157.34	        zero_zero_int)),
157.12/157.34	    inference('demod', [status(thm)],
157.12/157.34	              ['5', '8', '11', '13', '14', '16', '8', '7', '17', '17', '18', 
157.12/157.34	               '14', '16', '19', '20', '22'])).
157.12/157.34	tff(conj_0, conjecture,
157.12/157.34	  (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,
157.12/157.34	                                              hAPP_int_int(hAPP_int_fun_int_int(
157.12/157.34	                                                           plus_plus_int,
157.12/157.34	                                                           hAPP_nat_int(
157.12/157.34	                                                           hAPP_int_fun_nat_int(
157.12/157.34	                                                           power_power_int,s),
157.12/157.34	                                                           hAPP_int_nat(
157.12/157.34	                                                           number_number_of_nat,
157.12/157.34	                                                           hAPP_int_int(
157.12/157.34	                                                           bit0,
157.12/157.34	                                                           hAPP_int_int(
157.12/157.34	                                                           bit1,pls))))),
157.12/157.34	                                                           one_one_int)),
157.12/157.34	                       zero_zero_int)))).
157.12/157.34	tff(zf_stmt_0, negated_conjecture,
157.12/157.34	  (~
157.12/157.34	    hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,
157.12/157.34	                                               hAPP_int_int(hAPP_int_fun_int_int(
157.12/157.34	                                                            plus_plus_int,
157.12/157.34	                                                            hAPP_nat_int(
157.12/157.34	                                                            hAPP_int_fun_nat_int(
157.12/157.34	                                                            power_power_int,s),
157.12/157.34	                                                            hAPP_int_nat(
157.12/157.34	                                                            number_number_of_nat,
157.12/157.34	                                                            hAPP_int_int(
157.12/157.34	                                                            bit0,
157.12/157.34	                                                            hAPP_int_int(
157.12/157.34	                                                            bit1,pls))))),
157.12/157.34	                                                            one_one_int)),
157.12/157.34	                        zero_zero_int)))).
157.12/157.34	tff('24', plain,
157.12/157.34	    ~ hBOOL(
157.12/157.34	        hAPP_int_bool(
157.12/157.34	          hAPP_i1948725293t_bool(ord_less_int, 
157.12/157.34	            hAPP_int_int(
157.12/157.34	              hAPP_int_fun_int_int(plus_plus_int, 
157.12/157.34	                hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int, s), 
157.12/157.34	                  hAPP_int_nat(number_number_of_nat, 
157.12/157.34	                    hAPP_int_int(bit0, hAPP_int_int(bit1, pls))))), 
157.12/157.34	              one_one_int)), zero_zero_int)),
157.12/157.34	    inference('cnf', [status(esa)], [zf_stmt_0])).
157.12/157.34	tff('25', plain,
157.12/157.34	    ~ hBOOL(
157.12/157.34	        hAPP_int_bool(
157.12/157.34	          hAPP_i1948725293t_bool(ord_less_int, 
157.12/157.34	            hAPP_int_int(succ, 
157.12/157.34	              hAPP_int_int(hAPP_int_fun_int_int(times_times_int, s), s))), 
157.12/157.34	          zero_zero_int)),
157.12/157.34	    inference('demod', [status(thm)],
157.12/157.34	              ['24', '1', '8', '11', '13', '14', '16'])).
157.12/157.34	tff('26', plain, ~ $true, inference('sup-', [status(thm)], ['23', '25'])).
157.12/157.34	tff('27', plain, $false, inference('simplify', [status(thm)], ['26'])).
157.12/157.34	
157.12/157.34	% SZS output end Refutation
157.12/157.35	EOF
