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    : fo
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-ho \
0.00/0.00	  --no-avatar \
0.00/0.00	  --no-induction \
0.00/0.00	  --no-unif-pattern \
0.00/0.00	  --ord $2 \
0.00/0.00	  --simultaneous-sup false \
0.00/0.00	  --no-max-vars \
0.00/0.00	  --no-fool
0.00/0.19	% Computer   : n103.star.cs.uiowa.edu
0.00/0.19	% Model      : x86_64 x86_64
0.00/0.19	% CPU        : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
0.00/0.19	% Memory     : 32218.625MB
0.00/0.19	% OS         : Linux 3.10.0-693.2.2.el7.x86_64
0.00/0.19	% CPULimit   : 300
0.00/0.19	% DateTime   : Fri Feb  2 07:50:54 CST 2018
0.67/0.88	% done 938 iterations in 0.688s
0.67/0.88	% SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
0.67/0.88	% SZS output start Refutation
0.67/0.89	tff(conj_0, conjecture,
0.67/0.89	  (minus_minus(int,power_power(int,s,number_number_of(nat,bit0(bit1(pls)))),
0.67/0.89	               number_number_of(int,min)) =
0.67/0.89	   plus_plus(int,power_power(int,s,number_number_of(nat,bit0(bit1(pls)))),
0.67/0.89	             one_one(int)))).
0.67/0.89	tff(zf_stmt_0, negated_conjecture,
0.67/0.89	  (minus_minus(int,power_power(int,s,number_number_of(nat,bit0(bit1(pls)))),
0.67/0.89	               number_number_of(int,min)) !=
0.67/0.89	   plus_plus(int,power_power(int,s,number_number_of(nat,bit0(bit1(pls)))),
0.67/0.89	             one_one(int)))).
0.67/0.89	tff('0', plain,
0.67/0.89	    minus_minus(int, 
0.67/0.89	      power_power(int, s, number_number_of(nat, bit0(bit1(pls)))), 
0.67/0.89	      number_number_of(int, min))
0.67/0.89	     != plus_plus(int, 
0.67/0.89	          power_power(int, s, number_number_of(nat, bit0(bit1(pls)))), 
0.67/0.89	          one_one(int)),
0.67/0.89	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.67/0.89	tff(fact_38_number__of__is__id, axiom,
0.67/0.89	  (![K:int]: (number_number_of(int,K) = K))).
0.67/0.89	tff('1', plain, ![X60 : int]: number_number_of(int, X60) = X60,
0.67/0.89	    inference('cnf', [status(esa)], [fact_38_number__of__is__id])).
0.67/0.89	tff(fact_63_power2__eq__square__number__of, axiom,
0.67/0.89	  (![B1:$tType]:
0.67/0.89	     ((number(B1) & monoid_mult(B1)) =>
0.67/0.89	      (![W:int]:
0.67/0.89	         (power_power(B1,number_number_of(B1,W),
0.67/0.89	                      number_number_of(nat,bit0(bit1(pls)))) =
0.67/0.89	          times_times(B1,number_number_of(B1,W),number_number_of(B1,W))))))).
0.67/0.89	tff('2', plain,
0.67/0.89	    ![X106 : $tType, X107 : int]:
0.67/0.89	      (power_power(X106, number_number_of(X106, X107), 
0.67/0.89	         number_number_of(nat, bit0(bit1(pls))))
0.67/0.89	        = times_times(X106, number_number_of(X106, X107), 
0.67/0.89	            number_number_of(X106, X107))
0.67/0.89	       | ~ monoid_mult(X106)
0.67/0.89	       | ~ number(X106)),
0.67/0.89	    inference('cnf', [status(esa)], [fact_63_power2__eq__square__number__of])).
0.67/0.89	tff('3', plain,
0.67/0.89	    ![X0 : int]:
0.67/0.89	      (power_power(int, X0, number_number_of(nat, bit0(bit1(pls))))
0.67/0.89	        = times_times(int, number_number_of(int, X0), 
0.67/0.89	            number_number_of(int, X0))
0.67/0.89	       | ~ number(int)
0.67/0.89	       | ~ monoid_mult(int)),
0.67/0.89	    inference('sup+', [status(thm)], ['1', '2'])).
0.67/0.89	tff(arity_Int_Oint___Int_Onumber, axiom, (number(int))).
0.67/0.89	tff('4', plain, number(int),
0.67/0.89	    inference('cnf', [status(esa)], [arity_Int_Oint___Int_Onumber])).
0.67/0.89	tff(arity_Int_Oint___Groups_Omonoid__mult, axiom, (monoid_mult(int))).
0.67/0.89	tff('5', plain, monoid_mult(int),
0.67/0.89	    inference('cnf', [status(esa)], [arity_Int_Oint___Groups_Omonoid__mult])).
0.67/0.89	tff('6', plain,
0.67/0.89	    ![X0 : int]:
0.67/0.89	      (power_power(int, X0, number_number_of(nat, bit0(bit1(pls))))
0.67/0.89	        = times_times(int, X0, X0)
0.67/0.89	       | ~ $true
0.67/0.89	       | ~ $true),
0.67/0.89	    inference('demod', [status(thm)], ['3', '1', '1', '4', '5'])).
0.67/0.89	tff('7', plain,
0.67/0.89	    ![X0 : int]:
0.67/0.89	      power_power(int, X0, number_number_of(nat, bit0(bit1(pls))))
0.67/0.89	       = times_times(int, X0, X0),
0.67/0.89	    inference('simplify', [status(thm)], ['6'])).
0.67/0.89	tff(fact_54_one__is__num__one, axiom,
0.67/0.89	  (one_one(int) = number_number_of(int,bit1(pls)))).
0.67/0.89	tff('8', plain, one_one(int) = number_number_of(int, bit1(pls)),
0.67/0.89	    inference('cnf', [status(esa)], [fact_54_one__is__num__one])).
0.67/0.89	tff('9', plain, one_one(int) = bit1(pls),
0.67/0.89	    inference('demod', [status(thm)], ['8', '1'])).
0.67/0.89	tff('10', plain,
0.67/0.89	    minus_minus(int, times_times(int, s, s), min)
0.67/0.89	     != plus_plus(int, times_times(int, s, s), bit1(pls)),
0.67/0.89	    inference('demod', [status(thm)], ['0', '7', '1', '7', '9'])).
0.67/0.89	tff(fact_26_Bit1__Min, axiom, (bit1(min) = min)).
0.67/0.89	tff('11', plain, bit1(min) = min,
0.67/0.89	    inference('cnf', [status(esa)], [fact_26_Bit1__Min])).
0.67/0.89	tff(fact_6_diff__bin__simps_I4_J, axiom,
0.67/0.89	  (![L:int]: (minus_minus(int,pls,bit1(L)) = bit1(minus_minus(int,min,L))))).
0.67/0.89	tff('12', plain,
0.67/0.89	    ![X8 : int]:
0.67/0.89	      minus_minus(int, pls, bit1(X8)) = bit1(minus_minus(int, min, X8)),
0.67/0.89	    inference('cnf', [status(esa)], [fact_6_diff__bin__simps_I4_J])).
0.67/0.89	tff('13', plain,
0.67/0.89	    minus_minus(int, pls, min) = bit1(minus_minus(int, min, min)),
0.67/0.89	    inference('sup+', [status(thm)], ['11', '12'])).
0.67/0.89	tff(fact_10_diff__bin__simps_I10_J, axiom,
0.67/0.89	  (![L:int,K:int]:
0.67/0.89	     (minus_minus(int,bit1(K),bit1(L)) = bit0(minus_minus(int,K,L))))).
0.67/0.89	tff('14', plain,
0.67/0.89	    ![X13 : int, X14 : int]:
0.67/0.89	      minus_minus(int, bit1(X13), bit1(X14))
0.67/0.89	       = bit0(minus_minus(int, X13, X14)),
0.67/0.89	    inference('cnf', [status(esa)], [fact_10_diff__bin__simps_I10_J])).
0.67/0.89	tff(fact_42_diff__bin__simps_I1_J, axiom,
0.67/0.89	  (![K:int]: (minus_minus(int,K,pls) = K))).
0.67/0.89	tff('15', plain, ![X64 : int]: minus_minus(int, X64, pls) = X64,
0.67/0.89	    inference('cnf', [status(esa)], [fact_42_diff__bin__simps_I1_J])).
0.67/0.89	tff(fact_39_add__Pls__right, axiom, (![K:int]: (plus_plus(int,K,pls) = K))).
0.67/0.89	tff('16', plain, ![X61 : int]: plus_plus(int, X61, pls) = X61,
0.67/0.89	    inference('cnf', [status(esa)], [fact_39_add__Pls__right])).
0.67/0.89	tff(fact_53_add__number__of__diff1, axiom,
0.67/0.89	  (![A:$tType]:
0.67/0.89	     (number_ring(A) =>
0.67/0.89	      (![C:A,W:int,V:int]:
0.67/0.89	         (plus_plus(A,number_number_of(A,V),
0.67/0.89	                    minus_minus(A,number_number_of(A,W),C)) =
0.67/0.89	          minus_minus(A,number_number_of(A,plus_plus(int,V,W)),C)))))).
0.67/0.89	tff('17', plain,
0.67/0.89	    ![X82 : $tType, X83 : int, X84 : int, X85 : X82]:
0.67/0.89	      (plus_plus(X82, number_number_of(X82, X83), 
0.67/0.89	         minus_minus(X82, number_number_of(X82, X84), X85))
0.67/0.89	        = minus_minus(X82, number_number_of(X82, plus_plus(int, X83, X84)), 
0.67/0.89	            X85)
0.67/0.89	       | ~ number_ring(X82)),
0.67/0.89	    inference('cnf', [status(esa)], [fact_53_add__number__of__diff1])).
0.67/0.89	tff('18', plain,
0.67/0.89	    ![X0 : int, X1 : int, X2 : int]:
0.67/0.89	      (plus_plus(int, X0, minus_minus(int, number_number_of(int, X2), X1))
0.67/0.89	        = minus_minus(int, number_number_of(int, plus_plus(int, X0, X2)), X1)
0.67/0.89	       | ~ number_ring(int)),
0.67/0.89	    inference('sup+', [status(thm)], ['1', '17'])).
0.67/0.89	tff(arity_Int_Oint___Int_Onumber__ring, axiom, (number_ring(int))).
0.67/0.89	tff('19', plain, number_ring(int),
0.67/0.89	    inference('cnf', [status(esa)], [arity_Int_Oint___Int_Onumber__ring])).
0.67/0.89	tff('20', plain,
0.67/0.89	    ![X0 : int, X1 : int, X2 : int]:
0.67/0.89	      (plus_plus(int, X0, minus_minus(int, X2, X1))
0.67/0.89	        = minus_minus(int, plus_plus(int, X0, X2), X1)
0.67/0.89	       | ~ $true),
0.67/0.89	    inference('demod', [status(thm)], ['18', '1', '1', '19'])).
0.67/0.89	tff('21', plain,
0.67/0.89	    ![X0 : int, X1 : int, X2 : int]:
0.67/0.89	      plus_plus(int, X0, minus_minus(int, X2, X1))
0.67/0.89	       = minus_minus(int, plus_plus(int, X0, X2), X1),
0.67/0.89	    inference('simplify', [status(thm)], ['20'])).
0.67/0.89	tff('22', plain,
0.67/0.89	    ![X0 : int, X1 : int]:
0.67/0.89	      plus_plus(int, X0, minus_minus(int, pls, X1))
0.67/0.89	       = minus_minus(int, X0, X1),
0.67/0.89	    inference('sup+', [status(thm)], ['16', '21'])).
0.67/0.89	tff('23', plain,
0.67/0.89	    ![X0 : int, X1 : int]:
0.67/0.89	      plus_plus(int, X1, bit1(minus_minus(int, min, X0)))
0.67/0.89	       = minus_minus(int, X1, bit1(X0)),
0.67/0.89	    inference('sup+', [status(thm)], ['12', '22'])).
0.67/0.89	tff('24', plain,
0.67/0.89	    ![X0 : int]:
0.67/0.89	      plus_plus(int, X0, bit1(min)) = minus_minus(int, X0, bit1(pls)),
0.67/0.89	    inference('sup+', [status(thm)], ['15', '23'])).
0.67/0.89	tff('25', plain,
0.67/0.89	    ![X0 : int]: plus_plus(int, X0, min) = minus_minus(int, X0, bit1(pls)),
0.67/0.89	    inference('demod', [status(thm)], ['24', '11'])).
0.67/0.89	tff('26', plain,
0.67/0.89	    ![X0 : int]:
0.67/0.89	      plus_plus(int, bit1(X0), min) = bit0(minus_minus(int, X0, pls)),
0.67/0.89	    inference('sup+', [status(thm)], ['14', '25'])).
0.67/0.89	tff('27', plain, ![X0 : int]: plus_plus(int, bit1(X0), min) = bit0(X0),
0.67/0.89	    inference('demod', [status(thm)], ['26', '15'])).
0.67/0.89	tff('28', plain,
0.67/0.89	    plus_plus(int, minus_minus(int, pls, min), min)
0.67/0.89	     = bit0(minus_minus(int, min, min)),
0.67/0.89	    inference('sup+', [status(thm)], ['13', '27'])).
0.67/0.89	tff(fact_5_diff__bin__simps_I6_J, axiom,
0.67/0.89	  (![L:int]: (minus_minus(int,min,bit1(L)) = bit0(minus_minus(int,min,L))))).
0.67/0.89	tff('29', plain,
0.67/0.89	    ![X7 : int]:
0.67/0.89	      minus_minus(int, min, bit1(X7)) = bit0(minus_minus(int, min, X7)),
0.67/0.89	    inference('cnf', [status(esa)], [fact_5_diff__bin__simps_I6_J])).
0.67/0.89	tff('30', plain,
0.67/0.89	    minus_minus(int, min, min) = bit0(minus_minus(int, min, min)),
0.67/0.89	    inference('sup+', [status(thm)], ['11', '29'])).
0.67/0.89	tff('31', plain,
0.67/0.89	    plus_plus(int, minus_minus(int, pls, min), min)
0.67/0.89	     = minus_minus(int, min, min),
0.67/0.89	    inference('demod', [status(thm)], ['28', '30'])).
0.67/0.89	tff(fact_21_Bit0__Pls, axiom, (bit0(pls) = pls)).
0.67/0.89	tff('32', plain, bit0(pls) = pls,
0.67/0.89	    inference('cnf', [status(esa)], [fact_21_Bit0__Pls])).
0.67/0.89	tff(fact_72_mult__Bit1, axiom,
0.67/0.89	  (![L:int,K:int]:
0.67/0.89	     (times_times(int,bit1(K),L) =
0.67/0.89	      plus_plus(int,bit0(times_times(int,K,L)),L)))).
0.67/0.89	tff('33', plain,
0.67/0.89	    ![X134 : int, X135 : int]:
0.67/0.89	      times_times(int, bit1(X134), X135)
0.67/0.89	       = plus_plus(int, bit0(times_times(int, X134, X135)), X135),
0.67/0.89	    inference('cnf', [status(esa)], [fact_72_mult__Bit1])).
0.67/0.89	tff(fact_65_mult__Bit0, axiom,
0.67/0.89	  (![L:int,K:int]: (times_times(int,bit0(K),L) = bit0(times_times(int,K,L))))).
0.67/0.89	tff('34', plain,
0.67/0.89	    ![X109 : int, X110 : int]:
0.67/0.89	      times_times(int, bit0(X109), X110) = bit0(times_times(int, X109, X110)),
0.67/0.89	    inference('cnf', [status(esa)], [fact_65_mult__Bit0])).
0.67/0.89	tff('35', plain,
0.67/0.89	    ![X134 : int, X135 : int]:
0.67/0.89	      times_times(int, bit1(X134), X135)
0.67/0.89	       = plus_plus(int, times_times(int, bit0(X134), X135), X135),
0.67/0.89	    inference('demod', [status(thm)], ['33', '34'])).
0.67/0.89	tff('36', plain,
0.67/0.89	    ![X0 : int]:
0.67/0.89	      times_times(int, bit1(pls), X0)
0.67/0.89	       = plus_plus(int, times_times(int, pls, X0), X0),
0.67/0.89	    inference('sup+', [status(thm)], ['32', '35'])).
0.67/0.89	tff(fact_64_mult__Pls, axiom, (![W:int]: (times_times(int,pls,W) = pls))).
0.67/0.89	tff('37', plain, ![X108 : int]: times_times(int, pls, X108) = pls,
0.67/0.89	    inference('cnf', [status(esa)], [fact_64_mult__Pls])).
0.67/0.89	tff('38', plain,
0.67/0.89	    ![X0 : int]: times_times(int, bit1(pls), X0) = plus_plus(int, pls, X0),
0.67/0.89	    inference('demod', [status(thm)], ['36', '37'])).
0.67/0.89	tff(fact_40_add__Pls, axiom, (![K:int]: (plus_plus(int,pls,K) = K))).
0.67/0.89	tff('39', plain, ![X62 : int]: plus_plus(int, pls, X62) = X62,
0.67/0.89	    inference('cnf', [status(esa)], [fact_40_add__Pls])).
0.67/0.89	tff('40', plain, ![X0 : int]: times_times(int, bit1(pls), X0) = X0,
0.67/0.89	    inference('demod', [status(thm)], ['38', '39'])).
0.67/0.89	tff(fact_71_left__diff__distrib__number__of, axiom,
0.67/0.89	  (![B1:$tType]:
0.67/0.89	     ((ring(B1) & number(B1)) =>
0.67/0.89	      (![V:int,B:B1,A1:B1]:
0.67/0.89	         (times_times(B1,minus_minus(B1,A1,B),number_number_of(B1,V)) =
0.67/0.89	          minus_minus(B1,times_times(B1,A1,number_number_of(B1,V)),
0.67/0.89	                      times_times(B1,B,number_number_of(B1,V)))))))).
0.67/0.89	tff('41', plain,
0.67/0.89	    ![X130 : $tType, X131 : X130, X132 : int, X133 : X130]:
0.67/0.89	      (times_times(X130, minus_minus(X130, X131, X133), 
0.67/0.89	         number_number_of(X130, X132))
0.67/0.89	        = minus_minus(X130, 
0.67/0.89	            times_times(X130, X131, number_number_of(X130, X132)), 
0.67/0.89	            times_times(X130, X133, number_number_of(X130, X132)))
0.67/0.89	       | ~ number(X130)
0.67/0.89	       | ~ ring(X130)),
0.67/0.89	    inference('cnf', [status(esa)], [fact_71_left__diff__distrib__number__of])).
0.67/0.89	tff('42', plain,
0.67/0.89	    ![X0 : int, X1 : int]:
0.67/0.89	      (times_times(int, minus_minus(int, pls, X1), number_number_of(int, X0))
0.67/0.89	        = minus_minus(int, pls, 
0.67/0.89	            times_times(int, X1, number_number_of(int, X0)))
0.67/0.89	       | ~ ring(int)
0.67/0.89	       | ~ number(int)),
0.67/0.89	    inference('sup+', [status(thm)], ['37', '41'])).
0.67/0.89	tff(arity_Int_Oint___Rings_Oring, axiom, (ring(int))).
0.67/0.89	tff('43', plain, ring(int),
0.67/0.89	    inference('cnf', [status(esa)], [arity_Int_Oint___Rings_Oring])).
0.67/0.89	tff('44', plain,
0.67/0.89	    ![X0 : int, X1 : int]:
0.67/0.89	      (times_times(int, minus_minus(int, pls, X1), X0)
0.67/0.89	        = minus_minus(int, pls, times_times(int, X1, X0))
0.67/0.89	       | ~ $true
0.67/0.89	       | ~ $true),
0.67/0.89	    inference('demod', [status(thm)], ['42', '1', '1', '43', '4'])).
0.67/0.89	tff('45', plain,
0.67/0.89	    ![X0 : int, X1 : int]:
0.67/0.89	      times_times(int, minus_minus(int, pls, X1), X0)
0.67/0.89	       = minus_minus(int, pls, times_times(int, X1, X0)),
0.67/0.89	    inference('simplify', [status(thm)], ['44'])).
0.67/0.89	tff('46', plain,
0.67/0.89	    ![X0 : int]:
0.67/0.89	      times_times(int, minus_minus(int, pls, bit1(pls)), X0)
0.67/0.89	       = minus_minus(int, pls, X0),
0.67/0.89	    inference('sup+', [status(thm)], ['40', '45'])).
0.67/0.89	tff('47', plain,
0.67/0.89	    ![X0 : int]: times_times(int, min, X0) = minus_minus(int, pls, X0),
0.67/0.89	    inference('demod', [status(thm)], ['46', '12', '15', '11'])).
0.67/0.89	tff(fact_75_mult_Ocomm__neutral, axiom,
0.67/0.89	  (![A:$tType]:
0.67/0.89	     (comm_monoid_mult(A) => (![A1:A]: (times_times(A,A1,one_one(A)) = A1))))).
0.67/0.89	tff('48', plain,
0.67/0.89	    ![X143 : $tType, X144 : X143]:
0.67/0.89	      (times_times(X143, X144, one_one(X143)) = X144
0.67/0.89	       | ~ comm_monoid_mult(X143)),
0.67/0.89	    inference('cnf', [status(esa)], [fact_75_mult_Ocomm__neutral])).
0.67/0.89	tff(fact_61_power__m1__even, axiom,
0.67/0.89	  (![A:$tType]:
0.67/0.89	     (number_ring(A) =>
0.67/0.89	      (![N:nat]:
0.67/0.89	         (power_power(A,number_number_of(A,min),
0.67/0.89	                      times_times(nat,number_number_of(nat,bit0(bit1(pls))),N)) =
0.67/0.89	          one_one(A)))))).
0.67/0.89	tff('49', plain,
0.67/0.89	    ![X101 : $tType, X102 : nat]:
0.67/0.89	      (power_power(X101, number_number_of(X101, min), 
0.67/0.89	         times_times(nat, number_number_of(nat, bit0(bit1(pls))), X102))
0.67/0.89	        = one_one(X101)
0.67/0.89	       | ~ number_ring(X101)),
0.67/0.89	    inference('cnf', [status(esa)], [fact_61_power__m1__even])).
0.67/0.89	tff('50', plain,
0.67/0.89	    ![X0 : nat]:
0.67/0.89	      (power_power(int, min, 
0.67/0.89	         times_times(nat, number_number_of(nat, bit0(bit1(pls))), X0))
0.67/0.89	        = one_one(int)
0.67/0.89	       | ~ number_ring(int)),
0.67/0.89	    inference('sup+', [status(thm)], ['1', '49'])).
0.67/0.89	tff('51', plain,
0.67/0.89	    ![X0 : nat]:
0.67/0.89	      (power_power(int, min, 
0.67/0.89	         times_times(nat, number_number_of(nat, bit0(bit1(pls))), X0))
0.67/0.89	        = bit1(pls)
0.67/0.89	       | ~ $true),
0.67/0.89	    inference('demod', [status(thm)], ['50', '9', '19'])).
0.67/0.89	tff('52', plain,
0.67/0.89	    ![X0 : nat]:
0.67/0.89	      power_power(int, min, 
0.67/0.89	        times_times(nat, number_number_of(nat, bit0(bit1(pls))), X0))
0.67/0.89	       = bit1(pls),
0.67/0.89	    inference('simplify', [status(thm)], ['51'])).
0.67/0.89	tff('53', plain,
0.67/0.89	    (power_power(int, min, number_number_of(nat, bit0(bit1(pls))))
0.67/0.89	      = bit1(pls)
0.67/0.89	     | ~ comm_monoid_mult(nat)),
0.67/0.89	    inference('sup+', [status(thm)], ['48', '52'])).
0.67/0.89	tff(arity_Nat_Onat___Groups_Ocomm__monoid__mult, axiom,
0.67/0.89	  (comm_monoid_mult(nat))).
0.67/0.89	tff('54', plain, comm_monoid_mult(nat),
0.67/0.89	    inference('cnf', [status(esa)],
0.67/0.89	              [arity_Nat_Onat___Groups_Ocomm__monoid__mult])).
0.67/0.89	tff('55', plain, (times_times(int, min, min) = bit1(pls) | ~ $true),
0.67/0.89	    inference('demod', [status(thm)], ['53', '7', '54'])).
0.67/0.89	tff('56', plain, times_times(int, min, min) = bit1(pls),
0.67/0.89	    inference('simplify', [status(thm)], ['55'])).
0.67/0.89	tff('57', plain, bit0(pls) = minus_minus(int, min, min),
0.67/0.89	    inference('demod', [status(thm)], ['31', '47', '56', '27'])).
0.67/0.89	tff('58', plain, pls = minus_minus(int, min, min),
0.67/0.89	    inference('demod', [status(thm)], ['57', '32'])).
0.67/0.89	tff('59', plain,
0.67/0.89	    ![X0 : int]:
0.67/0.89	      plus_plus(int, X0, bit1(pls)) = minus_minus(int, X0, bit1(min)),
0.67/0.89	    inference('sup+', [status(thm)], ['58', '23'])).
0.67/0.89	tff('60', plain,
0.67/0.89	    ![X0 : int]: plus_plus(int, X0, bit1(pls)) = minus_minus(int, X0, min),
0.67/0.89	    inference('demod', [status(thm)], ['59', '11'])).
0.67/0.89	tff('61', plain,
0.67/0.89	    minus_minus(int, times_times(int, s, s), min)
0.67/0.89	     != minus_minus(int, times_times(int, s, s), min),
0.67/0.89	    inference('demod', [status(thm)], ['10', '60'])).
0.67/0.89	tff('62', plain, $false, inference('simplify', [status(thm)], ['61'])).
0.67/0.89	
0.67/0.89	% SZS output end Refutation
0.67/0.89	EOF
