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_ext
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 ext \
0.00/0.00	  --ho-ext-axiom \
0.00/0.00	  --restrict-hidden-sup-at-vars \
0.00/0.00	  --ho-prim-enum none \
0.00/0.00	  --no-max-vars \
0.00/0.00	  --dont-select-ho-var-lits \
0.00/0.00	  --no-fool
0.00/0.20	% Computer   : n183.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 07:30:23 CST 2018
20.23/20.41	% done 12403 iterations in 20.208s
20.23/20.41	% SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
20.23/20.41	% SZS output start Refutation
20.23/20.41	tff(conj_0, conjecture,
20.23/20.41	  (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,
20.23/20.41	                                              hAPP_int_int(plus_plus_int(
20.23/20.41	                                                           hAPP_nat_int(
20.23/20.41	                                                           power_power_int(s),
20.23/20.41	                                                           number_number_of_nat(
20.23/20.41	                                                           bit0(bit1(pls))))),
20.23/20.41	                                                           one_one_int)),
20.23/20.41	                       zero_zero_int)))).
20.23/20.41	tff(zf_stmt_0, negated_conjecture,
20.23/20.41	  (~
20.23/20.41	    hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,
20.23/20.41	                                               hAPP_int_int(plus_plus_int(
20.23/20.41	                                                            hAPP_nat_int(
20.23/20.41	                                                            power_power_int(
20.23/20.41	                                                            s),
20.23/20.41	                                                            number_number_of_nat(
20.23/20.41	                                                            bit0(bit1(pls))))),
20.23/20.41	                                                            one_one_int)),
20.23/20.41	                        zero_zero_int)))).
20.23/20.41	tff('0', plain,
20.23/20.41	    ~ hBOOL(
20.23/20.41	        hAPP_int_bool(
20.23/20.41	          hAPP_i1948725293t_bool(ord_less_int, 
20.23/20.41	            hAPP_int_int(
20.23/20.41	              plus_plus_int(
20.23/20.41	                hAPP_nat_int(power_power_int(s), 
20.23/20.41	                  number_number_of_nat(bit0(bit1(pls))))), one_one_int)), 
20.23/20.41	          zero_zero_int)),
20.23/20.41	    inference('cnf', [status(esa)], [zf_stmt_0])).
20.23/20.41	tff(fact_172_Pls__def, axiom, (pls = zero_zero_int)).
20.23/20.41	tff('1', plain, pls = zero_zero_int,
20.23/20.41	    inference('cnf', [status(esa)], [fact_172_Pls__def])).
20.23/20.41	tff(fact_160_one__is__num__one, axiom,
20.23/20.41	  (one_one_int = number_number_of_int(bit1(pls)))).
20.23/20.41	tff('2', plain, one_one_int = number_number_of_int(bit1(pls)),
20.23/20.41	    inference('cnf', [status(esa)], [fact_160_one__is__num__one])).
20.23/20.41	tff(fact_34_number__of__is__id, axiom,
20.23/20.41	  (![K_1:int]: (number_number_of_int(K_1) = K_1))).
20.23/20.41	tff('3', plain, ![X31 : int]: number_number_of_int(X31) = X31,
20.23/20.41	    inference('cnf', [status(esa)], [fact_34_number__of__is__id])).
20.23/20.41	tff('4', plain, one_one_int = bit1(zero_zero_int),
20.23/20.41	    inference('demod', [status(thm)], ['2', '1', '3'])).
20.23/20.41	tff(fact_134_zadd__commute, axiom,
20.23/20.41	  (![Z:int,W:int]:
20.23/20.41	     (hAPP_int_int(plus_plus_int(Z),W) = hAPP_int_int(plus_plus_int(W),Z)))).
20.23/20.41	tff('5', plain,
20.23/20.41	    ![X265 : int, X266 : int]:
20.23/20.41	      hAPP_int_int(plus_plus_int(X266), X265)
20.23/20.41	       = hAPP_int_int(plus_plus_int(X265), X266),
20.23/20.41	    inference('cnf', [status(esa)], [fact_134_zadd__commute])).
20.23/20.41	tff(help_COMBC_1_1_COMBC_000tc__Int__Oint_000tc__Int__Oint_000tc__HOL__Obool_U, axiom,
20.23/20.41	  (![P:fun_int_fun_int_bool,Q:int,R:int]:
20.23/20.41	     (hAPP_int_bool(cOMBC_int_int_bool(P,Q),R) =
20.23/20.41	      hAPP_int_bool(hAPP_i1948725293t_bool(P,R),Q)))).
20.23/20.41	tff('6', plain,
20.23/20.41	    ![X2790 : fun_int_fun_int_bool, X2791 : int, X2792 : int]:
20.23/20.41	      hAPP_int_bool(cOMBC_int_int_bool(X2790, X2792), X2791)
20.23/20.41	       = hAPP_int_bool(hAPP_i1948725293t_bool(X2790, X2791), X2792),
20.23/20.41	    inference('cnf', [status(esa)],
20.23/20.41	              [help_COMBC_1_1_COMBC_000tc__Int__Oint_000tc__Int__Oint_000tc__HOL__Obool_U])).
20.23/20.41	tff('7', plain,
20.23/20.41	    ~ hBOOL(
20.23/20.41	        hAPP_int_bool(cOMBC_int_int_bool(ord_less_int, zero_zero_int), 
20.23/20.41	          hAPP_int_int(plus_plus_int(one_one_int), 
20.23/20.41	            hAPP_nat_int(power_power_int(s), 
20.23/20.41	              number_number_of_nat(bit0(one_one_int)))))),
20.23/20.41	    inference('demod', [status(thm)], ['0', '1', '4', '5', '6'])).
20.23/20.41	tff(fact_203_power2__eq__square, axiom,
20.23/20.41	  (![A_103:int]:
20.23/20.41	     (hAPP_nat_int(power_power_int(A_103),
20.23/20.41	                   number_number_of_nat(bit0(bit1(pls)))) =
20.23/20.41	      hAPP_int_int(times_times_int(A_103),A_103)))).
20.23/20.41	tff('8', plain,
20.23/20.41	    ![X371 : int]:
20.23/20.41	      hAPP_nat_int(power_power_int(X371), 
20.23/20.41	        number_number_of_nat(bit0(bit1(pls))))
20.23/20.41	       = hAPP_int_int(times_times_int(X371), X371),
20.23/20.41	    inference('cnf', [status(esa)], [fact_203_power2__eq__square])).
20.23/20.41	tff('9', plain,
20.23/20.41	    ![X371 : int]:
20.23/20.41	      hAPP_nat_int(power_power_int(X371), 
20.23/20.41	        number_number_of_nat(bit0(one_one_int)))
20.23/20.41	       = hAPP_int_int(times_times_int(X371), X371),
20.23/20.41	    inference('demod', [status(thm)], ['8', '1', '4'])).
20.23/20.41	tff('10', plain,
20.23/20.41	    ~ hBOOL(
20.23/20.41	        hAPP_int_bool(cOMBC_int_int_bool(ord_less_int, zero_zero_int), 
20.23/20.41	          hAPP_int_int(plus_plus_int(one_one_int), 
20.23/20.41	            hAPP_int_int(times_times_int(s), s)))),
20.23/20.41	    inference('demod', [status(thm)], ['7', '9'])).
20.23/20.41	tff(fact_3_t, axiom,
20.23/20.41	  (hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(s),
20.23/20.41	                                           number_number_of_nat(bit0(
20.23/20.41	                                                                bit1(pls))))),
20.23/20.41	                one_one_int) =
20.23/20.41	   hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(hAPP_int_int(
20.23/20.41	                                                           times_times_int(
20.23/20.41	                                                           number_number_of_int(
20.23/20.41	                                                           bit0(bit0(
20.23/20.41	                                                                bit1(pls))))),
20.23/20.41	                                                           m)),
20.23/20.41	                                             one_one_int)),
20.23/20.41	                t))).
20.23/20.41	tff('11', plain,
20.23/20.41	    hAPP_int_int(
20.23/20.41	      plus_plus_int(
20.23/20.41	        hAPP_nat_int(power_power_int(s), 
20.23/20.41	          number_number_of_nat(bit0(bit1(pls))))), one_one_int)
20.23/20.41	     = hAPP_int_int(
20.23/20.41	         times_times_int(
20.23/20.41	           hAPP_int_int(
20.23/20.41	             plus_plus_int(
20.23/20.41	               hAPP_int_int(
20.23/20.41	                 times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))), 
20.23/20.41	                 m)), one_one_int)), t),
20.23/20.41	    inference('cnf', [status(esa)], [fact_3_t])).
20.23/20.41	tff('12', plain,
20.23/20.41	    hAPP_int_int(
20.23/20.41	      plus_plus_int(
20.23/20.41	        hAPP_nat_int(power_power_int(s), 
20.23/20.41	          number_number_of_nat(bit0(one_one_int)))), one_one_int)
20.23/20.41	     = hAPP_int_int(
20.23/20.41	         times_times_int(
20.23/20.41	           hAPP_int_int(
20.23/20.41	             plus_plus_int(
20.23/20.41	               hAPP_int_int(times_times_int(bit0(bit0(one_one_int))), m)), 
20.23/20.41	             one_one_int)), t),
20.23/20.41	    inference('demod', [status(thm)], ['11', '1', '4', '1', '4', '3'])).
20.23/20.41	tff(fact_35_zmult__commute, axiom,
20.23/20.41	  (![Z:int,W:int]:
20.23/20.41	     (hAPP_int_int(times_times_int(Z),W) = hAPP_int_int(times_times_int(W),Z)))).
20.23/20.41	tff('13', plain,
20.23/20.41	    ![X32 : int, X33 : int]:
20.23/20.41	      hAPP_int_int(times_times_int(X33), X32)
20.23/20.41	       = hAPP_int_int(times_times_int(X32), X33),
20.23/20.41	    inference('cnf', [status(esa)], [fact_35_zmult__commute])).
20.23/20.41	tff('14', plain,
20.23/20.41	    hAPP_int_int(
20.23/20.41	      plus_plus_int(
20.23/20.41	        hAPP_nat_int(power_power_int(s), 
20.23/20.41	          number_number_of_nat(bit0(one_one_int)))), one_one_int)
20.23/20.41	     = hAPP_int_int(times_times_int(t), 
20.23/20.41	         hAPP_int_int(
20.23/20.41	           plus_plus_int(
20.23/20.41	             hAPP_int_int(times_times_int(m), bit0(bit0(one_one_int)))), 
20.23/20.41	           one_one_int)),
20.23/20.41	    inference('demod', [status(thm)], ['12', '13', '13'])).
20.23/20.41	tff(fact_92_zmult__1, axiom,
20.23/20.41	  (![Z:int]: (hAPP_int_int(times_times_int(one_one_int),Z) = Z))).
20.23/20.41	tff('15', plain,
20.23/20.41	    ![X160 : int]: hAPP_int_int(times_times_int(one_one_int), X160) = X160,
20.23/20.41	    inference('cnf', [status(esa)], [fact_92_zmult__1])).
20.23/20.41	tff(fact_89_mult__Bit0, axiom,
20.23/20.41	  (![K_1:int,L:int]:
20.23/20.41	     (hAPP_int_int(times_times_int(bit0(K_1)),L) =
20.23/20.41	      bit0(hAPP_int_int(times_times_int(K_1),L))))).
20.23/20.41	tff('16', plain,
20.23/20.41	    ![X154 : int, X155 : int]:
20.23/20.41	      hAPP_int_int(times_times_int(bit0(X154)), X155)
20.23/20.41	       = bit0(hAPP_int_int(times_times_int(X154), X155)),
20.23/20.41	    inference('cnf', [status(esa)], [fact_89_mult__Bit0])).
20.23/20.41	tff('17', plain,
20.23/20.41	    ![X0 : int]:
20.23/20.41	      hAPP_int_int(times_times_int(bit0(one_one_int)), X0) = bit0(X0),
20.23/20.41	    inference('sup+', [status(thm)], ['15', '16'])).
20.23/20.41	tff('18', plain,
20.23/20.41	    ![X0 : int]:
20.23/20.41	      hAPP_int_int(times_times_int(bit0(bit0(one_one_int))), X0)
20.23/20.41	       = bit0(bit0(X0)),
20.23/20.41	    inference('sup+', [status(thm)], ['17', '16'])).
20.23/20.41	tff('19', plain,
20.23/20.41	    ![X0 : int]:
20.23/20.41	      hAPP_int_int(times_times_int(X0), bit0(bit0(one_one_int)))
20.23/20.41	       = bit0(bit0(X0)),
20.23/20.41	    inference('sup+', [status(thm)], ['18', '13'])).
20.23/20.41	tff(fact_233_add__Bit1__Bit0, axiom,
20.23/20.41	  (![K_1:int,L:int]:
20.23/20.41	     (hAPP_int_int(plus_plus_int(bit1(K_1)),bit0(L)) =
20.23/20.41	      bit1(hAPP_int_int(plus_plus_int(K_1),L))))).
20.23/20.41	tff('20', plain,
20.23/20.41	    ![X416 : int, X417 : int]:
20.23/20.41	      hAPP_int_int(plus_plus_int(bit1(X416)), bit0(X417))
20.23/20.41	       = bit1(hAPP_int_int(plus_plus_int(X416), X417)),
20.23/20.41	    inference('cnf', [status(esa)], [fact_233_add__Bit1__Bit0])).
20.23/20.41	tff('21', plain,
20.23/20.41	    ![X0 : int]:
20.23/20.41	      hAPP_int_int(plus_plus_int(one_one_int), bit0(X0))
20.23/20.41	       = bit1(hAPP_int_int(plus_plus_int(zero_zero_int), X0)),
20.23/20.41	    inference('sup+', [status(thm)], ['4', '20'])).
20.23/20.41	tff(fact_180_add__Pls, axiom,
20.23/20.41	  (![K_1:int]: (hAPP_int_int(plus_plus_int(pls),K_1) = K_1))).
20.23/20.41	tff('22', plain,
20.23/20.41	    ![X345 : int]: hAPP_int_int(plus_plus_int(pls), X345) = X345,
20.23/20.41	    inference('cnf', [status(esa)], [fact_180_add__Pls])).
20.23/20.41	tff('23', plain,
20.23/20.41	    ![X345 : int]: hAPP_int_int(plus_plus_int(zero_zero_int), X345) = X345,
20.23/20.41	    inference('demod', [status(thm)], ['22', '1'])).
20.23/20.41	tff('24', plain,
20.23/20.41	    ![X0 : int]:
20.23/20.41	      hAPP_int_int(plus_plus_int(one_one_int), bit0(X0)) = bit1(X0),
20.23/20.41	    inference('demod', [status(thm)], ['21', '23'])).
20.23/20.41	tff('25', plain,
20.23/20.41	    hAPP_int_int(plus_plus_int(one_one_int), 
20.23/20.41	      hAPP_int_int(times_times_int(s), s))
20.23/20.41	     = hAPP_int_int(times_times_int(t), bit1(bit0(m))),
20.23/20.41	    inference('demod', [status(thm)], ['14', '9', '5', '19', '5', '24'])).
20.23/20.41	tff(fact_1068__096sum2sq_A_Is_M_A1_J_A_061_A_I4_A_K_Am_A_L_A1_J_A_K_At_096, axiom,
20.23/20.41	  (twoSqu949963151sum2sq(product_Pair_int_int(s,one_one_int)) =
20.23/20.41	   hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(hAPP_int_int(
20.23/20.41	                                                           times_times_int(
20.23/20.41	                                                           number_number_of_int(
20.23/20.41	                                                           bit0(bit0(
20.23/20.41	                                                                bit1(pls))))),
20.23/20.41	                                                           m)),
20.23/20.41	                                             one_one_int)),
20.23/20.41	                t))).
20.23/20.41	tff('26', plain,
20.23/20.41	    twoSqu949963151sum2sq(product_Pair_int_int(s, one_one_int))
20.23/20.41	     = hAPP_int_int(
20.23/20.41	         times_times_int(
20.23/20.41	           hAPP_int_int(
20.23/20.41	             plus_plus_int(
20.23/20.41	               hAPP_int_int(
20.23/20.41	                 times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))), 
20.23/20.41	                 m)), one_one_int)), t),
20.23/20.41	    inference('cnf', [status(esa)],
20.23/20.41	              [fact_1068__096sum2sq_A_Is_M_A1_J_A_061_A_I4_A_K_Am_A_L_A1_J_A_K_At_096])).
20.23/20.41	tff(fact_41_zmult__assoc, axiom,
20.23/20.41	  (![Z1:int,Z2:int,Z3:int]:
20.23/20.41	     (hAPP_int_int(times_times_int(hAPP_int_int(times_times_int(Z1),Z2)),Z3) =
20.23/20.41	      hAPP_int_int(times_times_int(Z1),hAPP_int_int(times_times_int(Z2),Z3))))).
20.23/20.41	tff('27', plain,
20.23/20.41	    ![X47 : int, X48 : int, X49 : int]:
20.23/20.41	      hAPP_int_int(times_times_int(hAPP_int_int(times_times_int(X47), X48)), 
20.23/20.41	        X49)
20.23/20.41	       = hAPP_int_int(times_times_int(X47), 
20.23/20.41	           hAPP_int_int(times_times_int(X48), X49)),
20.23/20.41	    inference('cnf', [status(esa)], [fact_41_zmult__assoc])).
20.23/20.41	tff('28', plain,
20.23/20.41	    ![X0 : int]:
20.23/20.41	      hAPP_int_int(times_times_int(X0), bit0(one_one_int)) = bit0(X0),
20.23/20.41	    inference('sup+', [status(thm)], ['17', '13'])).
20.23/20.41	tff('29', plain,
20.23/20.41	    ![X0 : int, X1 : int]:
20.23/20.41	      hAPP_int_int(times_times_int(X1), 
20.23/20.41	        hAPP_int_int(times_times_int(X0), bit0(one_one_int)))
20.23/20.41	       = bit0(hAPP_int_int(times_times_int(X1), X0)),
20.23/20.41	    inference('sup+', [status(thm)], ['27', '28'])).
20.23/20.41	tff('30', plain,
20.23/20.41	    ![X0 : int, X1 : int]:
20.23/20.41	      hAPP_int_int(times_times_int(X1), bit0(X0))
20.23/20.41	       = hAPP_int_int(times_times_int(bit0(X1)), X0),
20.23/20.41	    inference('demod', [status(thm)], ['29', '28', '16'])).
20.23/20.41	tff('31', plain,
20.23/20.41	    twoSqu949963151sum2sq(product_Pair_int_int(s, one_one_int))
20.23/20.41	     = hAPP_int_int(times_times_int(t), bit1(bit0(m))),
20.23/20.41	    inference('demod', [status(thm)],
20.23/20.41	              ['26', '1', '4', '3', '30', '30', '15', '5', '24', '13'])).
20.23/20.41	tff('32', plain,
20.23/20.41	    hAPP_int_int(plus_plus_int(one_one_int), 
20.23/20.41	      hAPP_int_int(times_times_int(s), s))
20.23/20.41	     = twoSqu949963151sum2sq(product_Pair_int_int(s, one_one_int)),
20.23/20.41	    inference('demod', [status(thm)], ['25', '31'])).
20.23/20.41	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,
20.23/20.41	  (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,
20.23/20.41	                                              hAPP_int_int(times_times_int(
20.23/20.41	                                                           hAPP_int_int(
20.23/20.41	                                                           plus_plus_int(
20.23/20.41	                                                           hAPP_int_int(
20.23/20.41	                                                           times_times_int(
20.23/20.41	                                                           number_number_of_int(
20.23/20.41	                                                           bit0(bit0(
20.23/20.41	                                                                bit1(pls))))),
20.23/20.41	                                                           m)),one_one_int)),
20.23/20.41	                                                           t)),
20.23/20.41	                       hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(
20.23/20.41	                                                                 hAPP_int_int(
20.23/20.41	                                                                 times_times_int(
20.23/20.41	                                                                 number_number_of_int(
20.23/20.41	                                                                 bit0(
20.23/20.41	                                                                 bit0(
20.23/20.41	                                                                 bit1(pls))))),
20.23/20.41	                                                                 m)),
20.23/20.41	                                                                 one_one_int)),
20.23/20.41	                                    zero_zero_int))))).
20.23/20.41	tff('33', plain,
20.23/20.41	    hBOOL(
20.23/20.41	      hAPP_int_bool(
20.23/20.41	        hAPP_i1948725293t_bool(ord_less_int, 
20.23/20.41	          hAPP_int_int(
20.23/20.41	            times_times_int(
20.23/20.41	              hAPP_int_int(
20.23/20.41	                plus_plus_int(
20.23/20.41	                  hAPP_int_int(
20.23/20.41	                    times_times_int(
20.23/20.41	                      number_number_of_int(bit0(bit0(bit1(pls))))), m)), 
20.23/20.41	                one_one_int)), t)), 
20.23/20.41	        hAPP_int_int(
20.23/20.41	          times_times_int(
20.23/20.41	            hAPP_int_int(
20.23/20.41	              plus_plus_int(
20.23/20.41	                hAPP_int_int(
20.23/20.41	                  times_times_int(
20.23/20.41	                    number_number_of_int(bit0(bit0(bit1(pls))))), m)), 
20.23/20.41	              one_one_int)), zero_zero_int))),
20.23/20.41	    inference('cnf', [status(esa)],
20.23/20.41	              [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])).
20.23/20.41	tff('34', plain,
20.23/20.41	    hBOOL(
20.23/20.41	      hAPP_int_bool(
20.23/20.41	        hAPP_i1948725293t_bool(ord_less_int, 
20.23/20.41	          hAPP_int_int(
20.23/20.41	            times_times_int(
20.23/20.41	              hAPP_int_int(
20.23/20.41	                plus_plus_int(
20.23/20.41	                  hAPP_int_int(
20.23/20.41	                    times_times_int(bit0(bit0(bit1(zero_zero_int)))), m)), 
20.23/20.41	                one_one_int)), t)), 
20.23/20.41	        hAPP_int_int(
20.23/20.41	          times_times_int(
20.23/20.41	            hAPP_int_int(
20.23/20.41	              plus_plus_int(
20.23/20.41	                hAPP_int_int(
20.23/20.41	                  times_times_int(bit0(bit0(bit1(zero_zero_int)))), m)), 
20.23/20.41	              one_one_int)), zero_zero_int))),
20.23/20.41	    inference('demod', [status(thm)], ['33', '1', '3', '1', '3'])).
20.23/20.41	tff('35', plain,
20.23/20.41	    hBOOL(
20.23/20.41	      hAPP_int_bool(
20.23/20.41	        hAPP_i1948725293t_bool(ord_less_int, 
20.23/20.41	          hAPP_int_int(
20.23/20.41	            times_times_int(
20.23/20.41	              hAPP_int_int(
20.23/20.41	                plus_plus_int(
20.23/20.41	                  hAPP_int_int(times_times_int(bit0(bit0(one_one_int))), m)), 
20.23/20.41	                one_one_int)), t)), 
20.23/20.41	        hAPP_int_int(
20.23/20.41	          times_times_int(
20.23/20.41	            hAPP_int_int(
20.23/20.41	              plus_plus_int(
20.23/20.41	                hAPP_int_int(times_times_int(bit0(bit0(one_one_int))), m)), 
20.23/20.41	              one_one_int)), zero_zero_int))),
20.23/20.41	    inference('demod', [status(thm)], ['34', '4', '4'])).
20.23/20.41	tff(fact_88_mult__Pls, axiom,
20.23/20.41	  (![W:int]: (hAPP_int_int(times_times_int(pls),W) = pls))).
20.23/20.41	tff('36', plain,
20.23/20.41	    ![X153 : int]: hAPP_int_int(times_times_int(pls), X153) = pls,
20.23/20.41	    inference('cnf', [status(esa)], [fact_88_mult__Pls])).
20.23/20.41	tff('37', plain,
20.23/20.41	    ![X153 : int]:
20.23/20.41	      hAPP_int_int(times_times_int(zero_zero_int), X153) = zero_zero_int,
20.23/20.41	    inference('demod', [status(thm)], ['36', '1', '1'])).
20.23/20.41	tff('38', plain,
20.23/20.41	    hBOOL(
20.23/20.41	      hAPP_int_bool(cOMBC_int_int_bool(ord_less_int, zero_zero_int), 
20.23/20.41	        twoSqu949963151sum2sq(product_Pair_int_int(s, one_one_int)))),
20.23/20.41	    inference('demod', [status(thm)],
20.23/20.41	              ['35', '30', '30', '15', '5', '24', '13', '31', '30', '30', 
20.23/20.41	               '15', '5', '24', '13', '37', '6'])).
20.23/20.41	tff('39', plain, ~ $true,
20.23/20.41	    inference('demod', [status(thm)], ['10', '32', '38'])).
20.23/20.41	tff('40', plain, $false, inference('simplify', [status(thm)], ['39'])).
20.23/20.41	
20.23/20.41	% SZS output end Refutation
20.24/20.42	EOF
