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    : rpo6
0.00/0.00	% Command    : 
0.00/0.00	#!/bin/sh
0.00/0.00	
0.00/0.00	./zipperposition.native ${1:+"$1"} \
0.00/0.00	  -i tptp \
0.00/0.00	  -o tptp \
0.00/0.00	  --timeout "$STAREXEC_WALLCLOCK_LIMIT" \
0.00/0.00	  --mem-limit "$STAREXEC_MAX_MEM" \
0.00/0.00	  --no-avatar \
0.00/0.00	  --ho \
0.00/0.00	  --force-ho \
0.00/0.00	  --no-ho-elim-pred-var \
0.00/0.00	  --ho-general-ext-pos \
0.00/0.00	  --no-ho-unif \
0.00/0.00	  --no-induction \
0.00/0.00	  --no-unif-pattern \
0.00/0.00	  --ord $2  \
0.00/0.00	  --simultaneous-sup false \
0.00/0.00	  --ho-purify 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
0.00/0.19	% Computer   : n078.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
0.00/0.20	% CPULimit   : 300
0.00/0.20	% DateTime   : Fri Feb  2 07:55:08 CST 2018
1.03/1.27	% done 1165 iterations in 1.070s
1.03/1.27	% SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
1.03/1.27	% SZS output start Refutation
1.03/1.27	tff(conj_0, conjecture,
1.03/1.27	  (power_power(int,
1.03/1.27	               minus_minus(int,
1.03/1.27	                           plus_plus(int,
1.03/1.27	                                     times_times(int,
1.03/1.27	                                                 number_number_of(int,
1.03/1.27	                                                                  bit0(
1.03/1.27	                                                                  bit0(
1.03/1.27	                                                                  bit1(pls)))),
1.03/1.27	                                                 m),
1.03/1.27	                                     one_one(int)),
1.03/1.27	                           one_one(int)),
1.03/1.27	               number_number_of(nat,bit0(bit1(pls)))) =
1.03/1.27	   minus_minus(int,
1.03/1.27	               times_times(int,
1.03/1.27	                           plus_plus(int,
1.03/1.27	                                     times_times(int,
1.03/1.27	                                                 number_number_of(int,
1.03/1.27	                                                                  bit0(
1.03/1.27	                                                                  bit0(
1.03/1.27	                                                                  bit1(pls)))),
1.03/1.27	                                                 m),
1.03/1.27	                                     one_one(int)),
1.03/1.27	                           minus_minus(int,
1.03/1.27	                                       plus_plus(int,
1.03/1.27	                                                 times_times(int,
1.03/1.27	                                                             number_number_of(
1.03/1.27	                                                             int,
1.03/1.27	                                                             bit0(bit0(
1.03/1.27	                                                                  bit1(pls)))),
1.03/1.27	                                                             m),
1.03/1.27	                                                 one_one(int)),
1.03/1.27	                                       one_one(int))),
1.03/1.27	               times_times(int,one_one(int),
1.03/1.27	                           minus_minus(int,
1.03/1.27	                                       plus_plus(int,
1.03/1.27	                                                 times_times(int,
1.03/1.27	                                                             number_number_of(
1.03/1.27	                                                             int,
1.03/1.27	                                                             bit0(bit0(
1.03/1.27	                                                                  bit1(pls)))),
1.03/1.27	                                                             m),
1.03/1.27	                                                 one_one(int)),
1.03/1.27	                                       one_one(int)))))).
1.03/1.27	tff(zf_stmt_0, negated_conjecture,
1.03/1.27	  (power_power(int,
1.03/1.27	               minus_minus(int,
1.03/1.27	                           plus_plus(int,
1.03/1.27	                                     times_times(int,
1.03/1.27	                                                 number_number_of(int,
1.03/1.27	                                                                  bit0(
1.03/1.27	                                                                  bit0(
1.03/1.27	                                                                  bit1(pls)))),
1.03/1.27	                                                 m),
1.03/1.27	                                     one_one(int)),
1.03/1.27	                           one_one(int)),
1.03/1.27	               number_number_of(nat,bit0(bit1(pls)))) !=
1.03/1.27	   minus_minus(int,
1.03/1.27	               times_times(int,
1.03/1.27	                           plus_plus(int,
1.03/1.27	                                     times_times(int,
1.03/1.27	                                                 number_number_of(int,
1.03/1.27	                                                                  bit0(
1.03/1.27	                                                                  bit0(
1.03/1.27	                                                                  bit1(pls)))),
1.03/1.27	                                                 m),
1.03/1.27	                                     one_one(int)),
1.03/1.27	                           minus_minus(int,
1.03/1.27	                                       plus_plus(int,
1.03/1.27	                                                 times_times(int,
1.03/1.27	                                                             number_number_of(
1.03/1.27	                                                             int,
1.03/1.27	                                                             bit0(bit0(
1.03/1.27	                                                                  bit1(pls)))),
1.03/1.27	                                                             m),
1.03/1.27	                                                 one_one(int)),
1.03/1.27	                                       one_one(int))),
1.03/1.27	               times_times(int,one_one(int),
1.03/1.27	                           minus_minus(int,
1.03/1.27	                                       plus_plus(int,
1.03/1.27	                                                 times_times(int,
1.03/1.27	                                                             number_number_of(
1.03/1.27	                                                             int,
1.03/1.27	                                                             bit0(bit0(
1.03/1.27	                                                                  bit1(pls)))),
1.03/1.27	                                                             m),
1.03/1.27	                                                 one_one(int)),
1.03/1.27	                                       one_one(int)))))).
1.03/1.27	tff('0', plain,
1.03/1.27	    power_power(int, 
1.03/1.27	      minus_minus(int, 
1.03/1.27	        plus_plus(int, 
1.03/1.27	          times_times(int, number_number_of(int, bit0(bit0(bit1(pls)))), m), 
1.03/1.27	          one_one(int)), one_one(int)), 
1.03/1.27	      number_number_of(nat, bit0(bit1(pls))))
1.03/1.27	     != minus_minus(int, 
1.03/1.27	          times_times(int, 
1.03/1.27	            plus_plus(int, 
1.03/1.27	              times_times(int, number_number_of(int, bit0(bit0(bit1(pls)))), 
1.03/1.27	                m), one_one(int)), 
1.03/1.27	            minus_minus(int, 
1.03/1.27	              plus_plus(int, 
1.03/1.27	                times_times(int, 
1.03/1.27	                  number_number_of(int, bit0(bit0(bit1(pls)))), m), 
1.03/1.27	                one_one(int)), one_one(int))), 
1.03/1.27	          times_times(int, one_one(int), 
1.03/1.27	            minus_minus(int, 
1.03/1.27	              plus_plus(int, 
1.03/1.27	                times_times(int, 
1.03/1.27	                  number_number_of(int, bit0(bit0(bit1(pls)))), m), 
1.03/1.27	                one_one(int)), one_one(int)))),
1.03/1.27	    inference('cnf', [status(esa)], [zf_stmt_0])).
1.03/1.27	tff(fact_48_number__of__is__id, axiom,
1.03/1.27	  (![K1:int]: (number_number_of(int,K1) = K1))).
1.03/1.27	tff('1', plain, ![X97 : int]: number_number_of(int, X97) = X97,
1.03/1.27	    inference('cnf', [status(esa)], [fact_48_number__of__is__id])).
1.03/1.27	tff(fact_24_mult__Bit0, axiom,
1.03/1.27	  (![L1:int,K1:int]:
1.03/1.27	     (times_times(int,bit0(K1),L1) = bit0(times_times(int,K1,L1))))).
1.03/1.27	tff('2', plain,
1.03/1.27	    ![X43 : int, X44 : int]:
1.03/1.27	      times_times(int, bit0(X43), X44) = bit0(times_times(int, X43, X44)),
1.03/1.27	    inference('cnf', [status(esa)], [fact_24_mult__Bit0])).
1.03/1.27	tff(fact_23_mult__Pls, axiom, (![W:int]: (times_times(int,pls,W) = pls))).
1.03/1.27	tff('3', plain, ![X42 : int]: times_times(int, pls, X42) = pls,
1.03/1.27	    inference('cnf', [status(esa)], [fact_23_mult__Pls])).
1.03/1.27	tff(fact_6_mult__Bit1, axiom,
1.03/1.27	  (![L1:int,K1:int]:
1.03/1.27	     (times_times(int,bit1(K1),L1) =
1.03/1.27	      plus_plus(int,bit0(times_times(int,K1,L1)),L1)))).
1.03/1.27	tff('4', plain,
1.03/1.27	    ![X8 : int, X9 : int]:
1.03/1.27	      times_times(int, bit1(X8), X9)
1.03/1.27	       = plus_plus(int, bit0(times_times(int, X8, X9)), X9),
1.03/1.27	    inference('cnf', [status(esa)], [fact_6_mult__Bit1])).
1.03/1.27	tff('5', plain,
1.03/1.27	    ![X0 : int]:
1.03/1.27	      times_times(int, bit1(pls), X0) = plus_plus(int, bit0(pls), X0),
1.03/1.27	    inference('sup+', [status(thm)], ['3', '4'])).
1.03/1.27	tff(fact_22_Bit0__Pls, axiom, (bit0(pls) = pls)).
1.03/1.27	tff('6', plain, bit0(pls) = pls,
1.03/1.27	    inference('cnf', [status(esa)], [fact_22_Bit0__Pls])).
1.03/1.27	tff('7', plain,
1.03/1.27	    ![X0 : int]: times_times(int, bit1(pls), X0) = plus_plus(int, pls, X0),
1.03/1.27	    inference('demod', [status(thm)], ['5', '6'])).
1.03/1.27	tff(fact_51_add__Pls, axiom, (![K1:int]: (plus_plus(int,pls,K1) = K1))).
1.03/1.27	tff('8', plain, ![X102 : int]: plus_plus(int, pls, X102) = X102,
1.03/1.27	    inference('cnf', [status(esa)], [fact_51_add__Pls])).
1.03/1.27	tff('9', plain, ![X0 : int]: times_times(int, bit1(pls), X0) = X0,
1.03/1.27	    inference('sup+', [status(thm)], ['7', '8'])).
1.03/1.27	tff(fact_72_one__is__num__one, axiom,
1.03/1.27	  (one_one(int) = number_number_of(int,bit1(pls)))).
1.03/1.27	tff('10', plain, one_one(int) = number_number_of(int, bit1(pls)),
1.03/1.27	    inference('cnf', [status(esa)], [fact_72_one__is__num__one])).
1.03/1.27	tff('11', plain, one_one(int) = bit1(pls),
1.03/1.27	    inference('demod', [status(thm)], ['10', '1'])).
1.03/1.27	tff(fact_52_Bit0__def, axiom, (![K1:int]: (bit0(K1) = plus_plus(int,K1,K1)))).
1.03/1.27	tff('12', plain, ![X103 : int]: bit0(X103) = plus_plus(int, X103, X103),
1.03/1.27	    inference('cnf', [status(esa)], [fact_52_Bit0__def])).
1.03/1.27	tff(arity_Int_Oint___Int_Onumber__ring, axiom, (number_ring(int))).
1.03/1.27	tff('13', plain, number_ring(int),
1.03/1.27	    inference('cnf', [status(esa)], [arity_Int_Oint___Int_Onumber__ring])).
1.03/1.27	tff(fact_33_add__number__of__left, axiom,
1.03/1.27	  (![A:$tType]:
1.03/1.27	     (number_ring(A) =>
1.03/1.27	      (![Z:A,W:int,V:int]:
1.03/1.27	         (plus_plus(A,number_number_of(A,V),
1.03/1.27	                    plus_plus(A,number_number_of(A,W),Z)) =
1.03/1.27	          plus_plus(A,number_number_of(A,plus_plus(int,V,W)),Z)))))).
1.03/1.27	tff('14', plain,
1.03/1.27	    ![X72 : $tType, X73 : int, X74 : int, X75 : X72]:
1.03/1.27	      (plus_plus(X72, number_number_of(X72, X73), 
1.03/1.27	         plus_plus(X72, number_number_of(X72, X74), X75))
1.03/1.27	        = plus_plus(X72, number_number_of(X72, plus_plus(int, X73, X74)), 
1.03/1.27	            X75)
1.03/1.27	       | ~ number_ring(X72)),
1.03/1.27	    inference('cnf', [status(esa)], [fact_33_add__number__of__left])).
1.03/1.27	tff('15', plain,
1.03/1.27	    ![X0 : int, X1 : int, X2 : int]:
1.03/1.27	      (~ $true
1.03/1.27	       | plus_plus(int, number_number_of(int, X2), 
1.03/1.27	           plus_plus(int, number_number_of(int, X1), X0))
1.03/1.27	          = plus_plus(int, number_number_of(int, plus_plus(int, X2, X1)), X0)),
1.03/1.27	    inference('sup-', [status(thm)], ['13', '14'])).
1.03/1.27	tff('16', plain,
1.03/1.27	    ![X0 : int, X1 : int, X2 : int]:
1.03/1.27	      (~ $true
1.03/1.27	       | plus_plus(int, X2, plus_plus(int, X1, X0))
1.03/1.27	          = plus_plus(int, plus_plus(int, X2, X1), X0)),
1.03/1.27	    inference('demod', [status(thm)], ['15', '1', '1', '1'])).
1.03/1.27	tff('17', plain,
1.03/1.27	    ![X0 : int, X1 : int, X2 : int]:
1.03/1.27	      plus_plus(int, X2, plus_plus(int, X1, X0))
1.03/1.27	       = plus_plus(int, plus_plus(int, X2, X1), X0),
1.03/1.27	    inference('simplify', [status(thm)], ['16'])).
1.03/1.27	tff('18', plain,
1.03/1.27	    ![X0 : int, X1 : int]:
1.03/1.27	      plus_plus(int, X0, plus_plus(int, X0, X1))
1.03/1.27	       = plus_plus(int, bit0(X0), X1),
1.03/1.27	    inference('sup+', [status(thm)], ['12', '17'])).
1.03/1.27	tff(fact_37_add__Bit0__Bit1, axiom,
1.03/1.27	  (![L1:int,K1:int]:
1.03/1.27	     (plus_plus(int,bit0(K1),bit1(L1)) = bit1(plus_plus(int,K1,L1))))).
1.03/1.27	tff('19', plain,
1.03/1.27	    ![X81 : int, X82 : int]:
1.03/1.27	      plus_plus(int, bit0(X81), bit1(X82)) = bit1(plus_plus(int, X81, X82)),
1.03/1.27	    inference('cnf', [status(esa)], [fact_37_add__Bit0__Bit1])).
1.03/1.27	tff('20', plain,
1.03/1.27	    ![X81 : int, X82 : int]:
1.03/1.27	      plus_plus(int, X81, plus_plus(int, X81, bit1(X82)))
1.03/1.27	       = bit1(plus_plus(int, X81, X82)),
1.03/1.27	    inference('demod', [status(thm)], ['19', '18'])).
1.03/1.27	tff(fact_50_add__Pls__right, axiom,
1.03/1.27	  (![K1:int]: (plus_plus(int,K1,pls) = K1))).
1.03/1.27	tff('21', plain, ![X101 : int]: plus_plus(int, X101, pls) = X101,
1.03/1.27	    inference('cnf', [status(esa)], [fact_50_add__Pls__right])).
1.03/1.27	tff(fact_38_diff__bin__simps_I10_J, axiom,
1.03/1.27	  (![L1:int,K1:int]:
1.03/1.27	     (minus_minus(int,bit1(K1),bit1(L1)) = bit0(minus_minus(int,K1,L1))))).
1.03/1.27	tff('22', plain,
1.03/1.27	    ![X83 : int, X84 : int]:
1.03/1.27	      minus_minus(int, bit1(X83), bit1(X84))
1.03/1.27	       = bit0(minus_minus(int, X83, X84)),
1.03/1.27	    inference('cnf', [status(esa)], [fact_38_diff__bin__simps_I10_J])).
1.03/1.27	tff(fact_71_add__number__of__diff1, axiom,
1.03/1.27	  (![A:$tType]:
1.03/1.27	     (number_ring(A) =>
1.03/1.27	      (![C:A,W:int,V:int]:
1.03/1.27	         (plus_plus(A,number_number_of(A,V),
1.03/1.27	                    minus_minus(A,number_number_of(A,W),C)) =
1.03/1.27	          minus_minus(A,number_number_of(A,plus_plus(int,V,W)),C)))))).
1.03/1.27	tff('23', plain,
1.03/1.27	    ![X143 : $tType, X144 : int, X145 : int, X146 : X143]:
1.03/1.27	      (plus_plus(X143, number_number_of(X143, X144), 
1.03/1.27	         minus_minus(X143, number_number_of(X143, X145), X146))
1.03/1.27	        = minus_minus(X143, 
1.03/1.27	            number_number_of(X143, plus_plus(int, X144, X145)), X146)
1.03/1.27	       | ~ number_ring(X143)),
1.03/1.27	    inference('cnf', [status(esa)], [fact_71_add__number__of__diff1])).
1.03/1.27	tff('24', plain,
1.03/1.27	    ![X0 : int, X1 : int, X2 : int]:
1.03/1.27	      (~ $true
1.03/1.27	       | plus_plus(int, number_number_of(int, X2), 
1.03/1.27	           minus_minus(int, number_number_of(int, X1), X0))
1.03/1.27	          = minus_minus(int, number_number_of(int, plus_plus(int, X2, X1)), 
1.03/1.27	              X0)),
1.03/1.27	    inference('sup-', [status(thm)], ['13', '23'])).
1.03/1.27	tff('25', plain,
1.03/1.27	    ![X0 : int, X1 : int, X2 : int]:
1.03/1.27	      (~ $true
1.03/1.27	       | plus_plus(int, X2, minus_minus(int, X1, X0))
1.03/1.27	          = minus_minus(int, plus_plus(int, X2, X1), X0)),
1.03/1.27	    inference('demod', [status(thm)], ['24', '1', '1', '1'])).
1.03/1.27	tff('26', plain,
1.03/1.27	    ![X0 : int, X1 : int, X2 : int]:
1.03/1.27	      plus_plus(int, X2, minus_minus(int, X1, X0))
1.03/1.27	       = minus_minus(int, plus_plus(int, X2, X1), X0),
1.03/1.27	    inference('simplify', [status(thm)], ['25'])).
1.03/1.27	tff('27', plain,
1.03/1.27	    ![X0 : int, X1 : int]:
1.03/1.27	      plus_plus(int, X0, minus_minus(int, pls, X1))
1.03/1.27	       = minus_minus(int, X0, X1),
1.03/1.27	    inference('sup+', [status(thm)], ['21', '26'])).
1.03/1.27	tff(fact_59_int__distrib_I4_J, axiom,
1.03/1.27	  (![Z2:int,Z1:int,W:int]:
1.03/1.27	     (times_times(int,W,minus_minus(int,Z1,Z2)) =
1.03/1.27	      minus_minus(int,times_times(int,W,Z1),times_times(int,W,Z2))))).
1.03/1.27	tff('28', plain,
1.03/1.27	    ![X118 : int, X119 : int, X120 : int]:
1.03/1.27	      times_times(int, X118, minus_minus(int, X119, X120))
1.03/1.27	       = minus_minus(int, times_times(int, X118, X119), 
1.03/1.27	           times_times(int, X118, X120)),
1.03/1.27	    inference('cnf', [status(esa)], [fact_59_int__distrib_I4_J])).
1.03/1.27	tff(fact_58_int__distrib_I3_J, axiom,
1.03/1.27	  (![W:int,Z2:int,Z1:int]:
1.03/1.27	     (times_times(int,minus_minus(int,Z1,Z2),W) =
1.03/1.27	      minus_minus(int,times_times(int,Z1,W),times_times(int,Z2,W))))).
1.03/1.27	tff('29', plain,
1.03/1.27	    ![X115 : int, X116 : int, X117 : int]:
1.03/1.27	      times_times(int, minus_minus(int, X115, X117), X116)
1.03/1.27	       = minus_minus(int, times_times(int, X115, X116), 
1.03/1.27	           times_times(int, X117, X116)),
1.03/1.27	    inference('cnf', [status(esa)], [fact_58_int__distrib_I3_J])).
1.03/1.27	tff('30', plain,
1.03/1.27	    ![X0 : int, X1 : int]:
1.03/1.27	      times_times(int, minus_minus(int, X1, X1), X0)
1.03/1.27	       = times_times(int, X1, minus_minus(int, X0, X0)),
1.03/1.27	    inference('sup+', [status(thm)], ['28', '29'])).
1.03/1.27	tff('31', plain,
1.03/1.27	    ![X0 : int]:
1.03/1.27	      times_times(int, minus_minus(int, bit1(pls), bit1(pls)), X0)
1.03/1.27	       = minus_minus(int, X0, X0),
1.03/1.27	    inference('sup+', [status(thm)], ['9', '30'])).
1.03/1.27	tff(fact_54_diff__bin__simps_I1_J, axiom,
1.03/1.27	  (![K1:int]: (minus_minus(int,K1,pls) = K1))).
1.03/1.27	tff('32', plain, ![X106 : int]: minus_minus(int, X106, pls) = X106,
1.03/1.27	    inference('cnf', [status(esa)], [fact_54_diff__bin__simps_I1_J])).
1.03/1.27	tff('33', plain, ![X0 : int]: pls = minus_minus(int, X0, X0),
1.03/1.27	    inference('demod', [status(thm)], ['31', '22', '32', '6', '3'])).
1.03/1.27	tff(arity_Int_Oint___Groups_Omonoid__mult, axiom, (monoid_mult(int))).
1.03/1.27	tff('34', plain, monoid_mult(int),
1.03/1.27	    inference('cnf', [status(esa)], [arity_Int_Oint___Groups_Omonoid__mult])).
1.03/1.27	tff(fact_81_power2__eq__square, axiom,
1.03/1.27	  (![A:$tType]:
1.03/1.27	     (monoid_mult(A) =>
1.03/1.27	      (![A1:A]:
1.03/1.27	         (power_power(A,A1,number_number_of(nat,bit0(bit1(pls)))) =
1.03/1.27	          times_times(A,A1,A1)))))).
1.03/1.27	tff('35', plain,
1.03/1.27	    ![X161 : $tType, X162 : X161]:
1.03/1.27	      (power_power(X161, X162, number_number_of(nat, bit0(bit1(pls))))
1.03/1.27	        = times_times(X161, X162, X162)
1.03/1.27	       | ~ monoid_mult(X161)),
1.03/1.27	    inference('cnf', [status(esa)], [fact_81_power2__eq__square])).
1.03/1.27	tff('36', plain,
1.03/1.27	    ![X0 : int]:
1.03/1.27	      (~ $true
1.03/1.27	       | power_power(int, X0, number_number_of(nat, bit0(bit1(pls))))
1.03/1.28	          = times_times(int, X0, X0)),
1.03/1.28	    inference('sup-', [status(thm)], ['34', '35'])).
1.03/1.28	tff('37', plain,
1.03/1.28	    ![X0 : int]:
1.03/1.28	      power_power(int, X0, number_number_of(nat, bit0(bit1(pls))))
1.03/1.28	       = times_times(int, X0, X0),
1.03/1.28	    inference('simplify', [status(thm)], ['36'])).
1.03/1.28	tff(fact_55_int__distrib_I1_J, axiom,
1.03/1.28	  (![W:int,Z2:int,Z1:int]:
1.03/1.28	     (times_times(int,plus_plus(int,Z1,Z2),W) =
1.03/1.28	      plus_plus(int,times_times(int,Z1,W),times_times(int,Z2,W))))).
1.03/1.28	tff('38', plain,
1.03/1.28	    ![X107 : int, X108 : int, X109 : int]:
1.03/1.28	      times_times(int, plus_plus(int, X107, X109), X108)
1.03/1.28	       = plus_plus(int, times_times(int, X107, X108), 
1.03/1.28	           times_times(int, X109, X108)),
1.03/1.28	    inference('cnf', [status(esa)], [fact_55_int__distrib_I1_J])).
1.03/1.28	tff(fact_56_int__distrib_I2_J, axiom,
1.03/1.28	  (![Z2:int,Z1:int,W:int]:
1.03/1.28	     (times_times(int,W,plus_plus(int,Z1,Z2)) =
1.03/1.28	      plus_plus(int,times_times(int,W,Z1),times_times(int,W,Z2))))).
1.03/1.28	tff('39', plain,
1.03/1.28	    ![X110 : int, X111 : int, X112 : int]:
1.03/1.28	      times_times(int, X110, plus_plus(int, X111, X112))
1.03/1.28	       = plus_plus(int, times_times(int, X110, X111), 
1.03/1.28	           times_times(int, X110, X112)),
1.03/1.28	    inference('cnf', [status(esa)], [fact_56_int__distrib_I2_J])).
1.03/1.28	tff('40', plain,
1.03/1.28	    ![X0 : int, X1 : int]:
1.03/1.28	      times_times(int, X1, plus_plus(int, X0, X0))
1.03/1.28	       = times_times(int, plus_plus(int, X1, X1), X0),
1.03/1.28	    inference('sup+', [status(thm)], ['38', '39'])).
1.03/1.28	tff('41', plain,
1.03/1.28	    ![X0 : int, X1 : int]:
1.03/1.28	      times_times(int, X1, bit0(X0)) = bit0(times_times(int, X1, X0)),
1.03/1.28	    inference('demod', [status(thm)], ['40', '12', '12', '2'])).
1.03/1.28	tff('42', plain,
1.03/1.28	    ![X0 : int, X1 : int]:
1.03/1.28	      times_times(int, minus_minus(int, pls, X1), X0)
1.03/1.28	       = minus_minus(int, pls, times_times(int, X1, X0)),
1.03/1.28	    inference('sup+', [status(thm)], ['3', '29'])).
1.03/1.28	tff('43', plain,
1.03/1.28	    ![X0 : int]:
1.03/1.28	      times_times(int, minus_minus(int, pls, bit1(pls)), X0)
1.03/1.28	       = minus_minus(int, pls, X0),
1.03/1.28	    inference('sup+', [status(thm)], ['9', '42'])).
1.03/1.28	tff(fact_25_add__Bit0__Bit0, axiom,
1.03/1.28	  (![L1:int,K1:int]:
1.03/1.28	     (plus_plus(int,bit0(K1),bit0(L1)) = bit0(plus_plus(int,K1,L1))))).
1.03/1.28	tff('44', plain,
1.03/1.28	    ![X45 : int, X46 : int]:
1.03/1.28	      plus_plus(int, bit0(X45), bit0(X46)) = bit0(plus_plus(int, X45, X46)),
1.03/1.28	    inference('cnf', [status(esa)], [fact_25_add__Bit0__Bit0])).
1.03/1.28	tff('45', plain,
1.03/1.28	    ![X45 : int, X46 : int]:
1.03/1.28	      plus_plus(int, X45, plus_plus(int, X45, bit0(X46)))
1.03/1.28	       = bit0(plus_plus(int, X45, X46)),
1.03/1.28	    inference('demod', [status(thm)], ['44', '18'])).
1.03/1.28	tff('46', plain,
1.03/1.28	    bit0(bit0(bit0(bit0(times_times(int, m, m)))))
1.03/1.28	     != bit0(
1.03/1.28	          bit0(
1.03/1.28	            times_times(int, 
1.03/1.28	              plus_plus(int, bit1(bit0(m)), minus_minus(int, pls, bit1(pls))), 
1.03/1.28	              m))),
1.03/1.28	    inference('demod', [status(thm)],
1.03/1.28	              ['0', '1', '2', '2', '9', '11', '18', '18', '20', '21', '18', 
1.03/1.28	               '20', '12', '11', '22', '27', '33', '18', '21', '12', '37', 
1.03/1.28	               '2', '2', '41', '41', '1', '2', '2', '9', '11', '18', '18', 
1.03/1.28	               '20', '21', '18', '20', '12', '1', '2', '2', '9', '11', '18', 
1.03/1.28	               '18', '20', '21', '18', '20', '12', '11', '22', '27', '33', 
1.03/1.28	               '18', '21', '12', '41', '41', '11', '1', '2', '2', '9', '11', 
1.03/1.28	               '18', '18', '20', '21', '18', '20', '12', '11', '22', '27', 
1.03/1.28	               '33', '18', '21', '12', '9', '27', '43', '41', '41', '18', 
1.03/1.28	               '18', '45', '18', '45', '45', '38'])).
1.03/1.28	tff('47', plain,
1.03/1.28	    ![X0 : int, X1 : int]:
1.03/1.28	      plus_plus(int, bit1(X1), minus_minus(int, pls, bit1(X0)))
1.03/1.28	       = bit0(minus_minus(int, X1, X0)),
1.03/1.28	    inference('sup+', [status(thm)], ['27', '22'])).
1.03/1.28	tff('48', plain,
1.03/1.28	    ![X0 : int]:
1.03/1.28	      plus_plus(int, bit1(X0), minus_minus(int, pls, bit1(pls))) = bit0(X0),
1.03/1.28	    inference('sup+', [status(thm)], ['32', '47'])).
1.03/1.28	tff('49', plain,
1.03/1.28	    bit0(bit0(bit0(bit0(times_times(int, m, m)))))
1.03/1.28	     != bit0(bit0(bit0(bit0(times_times(int, m, m))))),
1.03/1.28	    inference('demod', [status(thm)], ['46', '48', '2', '2'])).
1.03/1.28	tff('50', plain, $false, inference('simplify', [status(thm)], ['49'])).
1.03/1.28	
1.03/1.28	% SZS output end Refutation
1.03/1.28	EOF
