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
0.00/0.19	% Computer   : n152.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 08:20:23 CST 2018
43.04/43.29	% done 6082 iterations in 43.086s
43.04/43.29	% SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
43.04/43.29	% SZS output start Refutation
43.04/43.29	tff(conj_0, conjecture,
43.04/43.29	  (plus_plus(int,
43.04/43.29	             times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),
43.04/43.29	                         power_power(int,v,
43.04/43.29	                                     number_number_of(nat,bit0(bit1(pls))))),
43.04/43.29	             times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),
43.04/43.29	                         power_power(int,w,
43.04/43.29	                                     number_number_of(nat,bit0(bit1(pls)))))) =
43.04/43.29	   plus_plus(int,
43.04/43.29	             power_power(int,
43.04/43.29	                         times_times(int,
43.04/43.29	                                     number_number_of(int,bit0(bit1(pls))),
43.04/43.29	                                     abs_abs(int,v)),
43.04/43.29	                         number_number_of(nat,bit0(bit1(pls)))),
43.04/43.29	             power_power(int,
43.04/43.29	                         times_times(int,
43.04/43.29	                                     number_number_of(int,bit0(bit1(pls))),
43.04/43.29	                                     abs_abs(int,w)),
43.04/43.29	                         number_number_of(nat,bit0(bit1(pls))))))).
43.04/43.29	tff(zf_stmt_0, negated_conjecture,
43.04/43.29	  (plus_plus(int,
43.04/43.29	             times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),
43.04/43.29	                         power_power(int,v,
43.04/43.29	                                     number_number_of(nat,bit0(bit1(pls))))),
43.04/43.29	             times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),
43.04/43.29	                         power_power(int,w,
43.04/43.29	                                     number_number_of(nat,bit0(bit1(pls)))))) !=
43.04/43.29	   plus_plus(int,
43.04/43.29	             power_power(int,
43.04/43.29	                         times_times(int,
43.04/43.29	                                     number_number_of(int,bit0(bit1(pls))),
43.04/43.29	                                     abs_abs(int,v)),
43.04/43.29	                         number_number_of(nat,bit0(bit1(pls)))),
43.04/43.29	             power_power(int,
43.04/43.29	                         times_times(int,
43.04/43.29	                                     number_number_of(int,bit0(bit1(pls))),
43.04/43.29	                                     abs_abs(int,w)),
43.04/43.29	                         number_number_of(nat,bit0(bit1(pls))))))).
43.04/43.29	tff('0', plain,
43.04/43.29	    plus_plus(int, 
43.04/43.29	      times_times(int, number_number_of(int, bit0(bit0(bit1(pls)))), 
43.04/43.29	        power_power(int, v, number_number_of(nat, bit0(bit1(pls))))), 
43.04/43.29	      times_times(int, number_number_of(int, bit0(bit0(bit1(pls)))), 
43.04/43.29	        power_power(int, w, number_number_of(nat, bit0(bit1(pls))))))
43.04/43.29	     != plus_plus(int, 
43.04/43.29	          power_power(int, 
43.04/43.29	            times_times(int, number_number_of(int, bit0(bit1(pls))), 
43.04/43.29	              abs_abs(int, v)), number_number_of(nat, bit0(bit1(pls)))), 
43.04/43.29	          power_power(int, 
43.04/43.29	            times_times(int, number_number_of(int, bit0(bit1(pls))), 
43.04/43.29	              abs_abs(int, w)), number_number_of(nat, bit0(bit1(pls))))),
43.04/43.29	    inference('cnf', [status(esa)], [zf_stmt_0])).
43.04/43.29	tff(fact_32_number__of__is__id, axiom,
43.04/43.29	  (![K:int]: (number_number_of(int,K) = K))).
43.04/43.29	tff('1', plain, ![X75 : int]: number_number_of(int, X75) = X75,
43.04/43.29	    inference('cnf', [status(esa)], [fact_32_number__of__is__id])).
43.04/43.29	tff(fact_0_power2__eq__square__number__of, axiom,
43.04/43.29	  (![B2:$tType]:
43.04/43.29	     ((number(B2) & monoid_mult(B2)) =>
43.04/43.29	      (![W:int]:
43.04/43.29	         (power_power(B2,number_number_of(B2,W),
43.04/43.29	                      number_number_of(nat,bit0(bit1(pls)))) =
43.04/43.29	          times_times(B2,number_number_of(B2,W),number_number_of(B2,W))))))).
43.04/43.29	tff('2', plain,
43.04/43.29	    ![X0 : $tType, X1 : int]:
43.04/43.29	      (power_power(X0, number_number_of(X0, X1), 
43.04/43.29	         number_number_of(nat, bit0(bit1(pls))))
43.04/43.29	        = times_times(X0, number_number_of(X0, X1), number_number_of(X0, X1))
43.04/43.29	       | ~ monoid_mult(X0)
43.04/43.29	       | ~ number(X0)),
43.04/43.29	    inference('cnf', [status(esa)], [fact_0_power2__eq__square__number__of])).
43.04/43.29	tff('3', plain,
43.04/43.29	    ![X0 : int]:
43.04/43.29	      (power_power(int, X0, number_number_of(nat, bit0(bit1(pls))))
43.04/43.29	        = times_times(int, number_number_of(int, X0), 
43.04/43.29	            number_number_of(int, X0))
43.04/43.29	       | ~ number(int)
43.04/43.29	       | ~ monoid_mult(int)),
43.04/43.29	    inference('sup+', [status(thm)], ['1', '2'])).
43.04/43.29	tff(arity_Int_Oint___Int_Onumber, axiom, (number(int))).
43.04/43.29	tff('4', plain, number(int),
43.04/43.29	    inference('cnf', [status(esa)], [arity_Int_Oint___Int_Onumber])).
43.04/43.29	tff(arity_Int_Oint___Groups_Omonoid__mult, axiom, (monoid_mult(int))).
43.04/43.29	tff('5', plain, monoid_mult(int),
43.04/43.29	    inference('cnf', [status(esa)], [arity_Int_Oint___Groups_Omonoid__mult])).
43.04/43.29	tff('6', plain,
43.04/43.29	    ![X0 : int]:
43.04/43.29	      (power_power(int, X0, number_number_of(nat, bit0(bit1(pls))))
43.04/43.29	        = times_times(int, X0, X0)
43.04/43.29	       | ~ $true
43.04/43.29	       | ~ $true),
43.04/43.29	    inference('demod', [status(thm)], ['3', '1', '1', '4', '5'])).
43.04/43.29	tff('7', plain,
43.04/43.29	    ![X0 : int]:
43.04/43.29	      power_power(int, X0, number_number_of(nat, bit0(bit1(pls))))
43.04/43.29	       = times_times(int, X0, X0),
43.04/43.29	    inference('simplify', [status(thm)], ['6'])).
43.04/43.29	tff(fact_36_Bit0__def, axiom, (![K:int]: (bit0(K) = plus_plus(int,K,K)))).
43.04/43.29	tff('8', plain, ![X81 : int]: bit0(X81) = plus_plus(int, X81, X81),
43.04/43.29	    inference('cnf', [status(esa)], [fact_36_Bit0__def])).
43.04/43.29	tff(fact_26_right__distrib__number__of, axiom,
43.04/43.29	  (![B2:$tType]:
43.04/43.29	     ((semiring(B2) & number(B2)) =>
43.04/43.29	      (![C:B2,B:B2,V:int]:
43.04/43.29	         (times_times(B2,number_number_of(B2,V),plus_plus(B2,B,C)) =
43.04/43.29	          plus_plus(B2,times_times(B2,number_number_of(B2,V),B),
43.04/43.29	                    times_times(B2,number_number_of(B2,V),C))))))).
43.04/43.29	tff('9', plain,
43.04/43.29	    ![X58 : $tType, X59 : int, X60 : X58, X61 : X58]:
43.04/43.29	      (times_times(X58, number_number_of(X58, X59), plus_plus(X58, X60, X61))
43.04/43.29	        = plus_plus(X58, times_times(X58, number_number_of(X58, X59), X60), 
43.04/43.29	            times_times(X58, number_number_of(X58, X59), X61))
43.04/43.29	       | ~ number(X58)
43.04/43.29	       | ~ semiring(X58)),
43.04/43.29	    inference('cnf', [status(esa)], [fact_26_right__distrib__number__of])).
43.04/43.29	tff('10', plain,
43.04/43.29	    ![X0 : int, X1 : int]:
43.04/43.29	      (times_times(int, number_number_of(int, X1), plus_plus(int, X0, X0))
43.04/43.29	        = bit0(times_times(int, number_number_of(int, X1), X0))
43.04/43.29	       | ~ semiring(int)
43.04/43.29	       | ~ number(int)),
43.04/43.29	    inference('sup+', [status(thm)], ['8', '9'])).
43.04/43.29	tff(fact_23_mult__Bit0, axiom,
43.04/43.29	  (![L:int,K:int]: (times_times(int,bit0(K),L) = bit0(times_times(int,K,L))))).
43.04/43.29	tff('11', plain,
43.04/43.29	    ![X50 : int, X51 : int]:
43.04/43.29	      times_times(int, bit0(X50), X51) = bit0(times_times(int, X50, X51)),
43.04/43.29	    inference('cnf', [status(esa)], [fact_23_mult__Bit0])).
43.04/43.29	tff(arity_Int_Oint___Rings_Osemiring, axiom, (semiring(int))).
43.04/43.29	tff('12', plain, semiring(int),
43.04/43.29	    inference('cnf', [status(esa)], [arity_Int_Oint___Rings_Osemiring])).
43.04/43.29	tff('13', plain,
43.04/43.29	    ![X0 : int, X1 : int]:
43.04/43.29	      (times_times(int, X1, bit0(X0)) = times_times(int, bit0(X1), X0)
43.04/43.29	       | ~ $true
43.04/43.29	       | ~ $true),
43.04/43.29	    inference('demod', [status(thm)], ['10', '1', '8', '1', '11', '12', '4'])).
43.04/43.29	tff('14', plain,
43.04/43.29	    ![X0 : int, X1 : int]:
43.04/43.29	      times_times(int, X1, bit0(X0)) = times_times(int, bit0(X1), X0),
43.04/43.29	    inference('simplify', [status(thm)], ['13'])).
43.04/43.29	tff(fact_69_comm__semiring__1__class_Onormalizing__semiring__rules_I7_J, axiom,
43.04/43.29	  (![A:$tType]:
43.04/43.29	     (comm_semiring_1(A) =>
43.04/43.29	      (![B:A,A1:A]: (times_times(A,A1,B) = times_times(A,B,A1)))))).
43.04/43.29	tff('15', plain,
43.04/43.29	    ![X155 : $tType, X156 : X155, X157 : X155]:
43.04/43.29	      (times_times(X155, X157, X156) = times_times(X155, X156, X157)
43.04/43.29	       | ~ comm_semiring_1(X155)),
43.04/43.29	    inference('cnf', [status(esa)],
43.04/43.29	              [fact_69_comm__semiring__1__class_Onormalizing__semiring__rules_I7_J])).
43.04/43.29	tff('16', plain,
43.04/43.29	    ![X50 : int, X51 : int]:
43.04/43.29	      times_times(int, X50, bit0(X51)) = bit0(times_times(int, X50, X51)),
43.04/43.29	    inference('demod', [status(thm)], ['11', '14'])).
43.04/43.29	tff('17', plain,
43.04/43.29	    ![X0 : int, X1 : int]:
43.04/43.29	      (times_times(int, X0, bit0(X1)) = bit0(times_times(int, X1, X0))
43.04/43.29	       | ~ comm_semiring_1(int)),
43.04/43.29	    inference('sup+', [status(thm)], ['15', '16'])).
43.04/43.29	tff(arity_Int_Oint___Rings_Ocomm__semiring__1, axiom, (comm_semiring_1(int))).
43.04/43.29	tff('18', plain, comm_semiring_1(int),
43.04/43.29	    inference('cnf', [status(esa)],
43.04/43.29	              [arity_Int_Oint___Rings_Ocomm__semiring__1])).
43.04/43.29	tff('19', plain,
43.04/43.29	    ![X0 : int, X1 : int]:
43.04/43.29	      (times_times(int, X0, bit0(X1)) = bit0(times_times(int, X1, X0))
43.04/43.29	       | ~ $true),
43.04/43.29	    inference('demod', [status(thm)], ['17', '18'])).
43.04/43.29	tff('20', plain,
43.04/43.29	    ![X0 : int, X1 : int]:
43.04/43.29	      times_times(int, X0, bit0(X1)) = bit0(times_times(int, X1, X0)),
43.04/43.29	    inference('simplify', [status(thm)], ['19'])).
43.04/43.29	tff(fact_22_mult__Pls, axiom, (![W:int]: (times_times(int,pls,W) = pls))).
43.04/43.29	tff('21', plain, ![X49 : int]: times_times(int, pls, X49) = pls,
43.04/43.29	    inference('cnf', [status(esa)], [fact_22_mult__Pls])).
43.04/43.29	tff(fact_3_mult__Bit1, axiom,
43.04/43.29	  (![L:int,K:int]:
43.04/43.29	     (times_times(int,bit1(K),L) =
43.04/43.29	      plus_plus(int,bit0(times_times(int,K,L)),L)))).
43.04/43.29	tff('22', plain,
43.04/43.29	    ![X6 : int, X7 : int]:
43.04/43.29	      times_times(int, bit1(X6), X7)
43.04/43.29	       = plus_plus(int, bit0(times_times(int, X6, X7)), X7),
43.04/43.29	    inference('cnf', [status(esa)], [fact_3_mult__Bit1])).
43.04/43.29	tff('23', plain,
43.04/43.29	    ![X0 : int]:
43.04/43.29	      times_times(int, bit1(pls), X0) = plus_plus(int, bit0(pls), X0),
43.04/43.29	    inference('sup+', [status(thm)], ['21', '22'])).
43.04/43.29	tff(fact_21_Bit0__Pls, axiom, (bit0(pls) = pls)).
43.04/43.29	tff('24', plain, bit0(pls) = pls,
43.04/43.29	    inference('cnf', [status(esa)], [fact_21_Bit0__Pls])).
43.04/43.29	tff('25', plain,
43.04/43.29	    ![X0 : int]: times_times(int, bit1(pls), X0) = plus_plus(int, pls, X0),
43.04/43.29	    inference('demod', [status(thm)], ['23', '24'])).
43.04/43.29	tff(fact_35_add__Pls, axiom, (![K:int]: (plus_plus(int,pls,K) = K))).
43.04/43.29	tff('26', plain, ![X80 : int]: plus_plus(int, pls, X80) = X80,
43.04/43.29	    inference('cnf', [status(esa)], [fact_35_add__Pls])).
43.04/43.29	tff('27', plain, ![X0 : int]: times_times(int, bit1(pls), X0) = X0,
43.04/43.29	    inference('demod', [status(thm)], ['25', '26'])).
43.04/43.29	tff('28', plain,
43.04/43.29	    plus_plus(int, times_times(int, v, bit0(bit0(v))), 
43.04/43.29	      times_times(int, w, bit0(bit0(w))))
43.04/43.29	     != plus_plus(int, 
43.04/43.29	          times_times(int, abs_abs(int, v), bit0(bit0(abs_abs(int, v)))), 
43.04/43.29	          times_times(int, abs_abs(int, w), bit0(bit0(abs_abs(int, w))))),
43.04/43.29	    inference('demod', [status(thm)],
43.04/43.29	              ['0', '1', '7', '14', '20', '14', '20', '14', '27', '1', '7', 
43.04/43.29	               '14', '20', '14', '20', '14', '27', '1', '14', '27', '7', 
43.04/43.29	               '14', '1', '14', '27', '7', '14'])).
43.04/43.29	tff(fact_1_abs__power2, axiom,
43.04/43.29	  (![A:$tType]:
43.04/43.29	     (linordered_idom(A) =>
43.04/43.29	      (![A1:A]:
43.04/43.29	         (abs_abs(A,power_power(A,A1,number_number_of(nat,bit0(bit1(pls))))) =
43.04/43.29	          power_power(A,A1,number_number_of(nat,bit0(bit1(pls))))))))).
43.04/43.29	tff('29', plain,
43.04/43.29	    ![X2 : $tType, X3 : X2]:
43.04/43.29	      (abs_abs(X2, 
43.04/43.29	         power_power(X2, X3, number_number_of(nat, bit0(bit1(pls)))))
43.04/43.29	        = power_power(X2, X3, number_number_of(nat, bit0(bit1(pls))))
43.04/43.29	       | ~ linordered_idom(X2)),
43.04/43.29	    inference('cnf', [status(esa)], [fact_1_abs__power2])).
43.04/43.29	tff('30', plain,
43.04/43.29	    ![X0 : int]:
43.04/43.29	      (abs_abs(int, times_times(int, X0, X0))
43.04/43.29	        = power_power(int, X0, number_number_of(nat, bit0(bit1(pls))))
43.04/43.29	       | ~ linordered_idom(int)),
43.04/43.29	    inference('sup+', [status(thm)], ['7', '29'])).
43.04/43.29	tff(arity_Int_Oint___Rings_Olinordered__idom, axiom, (linordered_idom(int))).
43.04/43.29	tff('31', plain, linordered_idom(int),
43.04/43.29	    inference('cnf', [status(esa)],
43.04/43.29	              [arity_Int_Oint___Rings_Olinordered__idom])).
43.04/43.29	tff('32', plain,
43.04/43.29	    ![X0 : int]:
43.04/43.29	      (abs_abs(int, times_times(int, X0, X0))
43.04/43.29	        = power_power(int, X0, number_number_of(nat, bit0(bit1(pls))))
43.04/43.29	       | ~ $true),
43.04/43.29	    inference('demod', [status(thm)], ['30', '31'])).
43.04/43.29	tff('33', plain,
43.04/43.29	    ![X0 : int]:
43.04/43.29	      abs_abs(int, times_times(int, X0, X0))
43.04/43.29	       = power_power(int, X0, number_number_of(nat, bit0(bit1(pls)))),
43.04/43.29	    inference('simplify', [status(thm)], ['32'])).
43.04/43.29	tff('34', plain,
43.04/43.29	    ![X0 : int]:
43.04/43.29	      abs_abs(int, times_times(int, X0, X0)) = times_times(int, X0, X0),
43.04/43.29	    inference('sup+', [status(thm)], ['33', '7'])).
43.04/43.29	tff('35', plain,
43.04/43.29	    ![X0 : int]:
43.04/43.29	      abs_abs(int, 
43.04/43.29	        power_power(int, X0, number_number_of(nat, bit0(bit1(pls)))))
43.04/43.29	       = times_times(int, X0, X0),
43.04/43.29	    inference('sup+', [status(thm)], ['7', '34'])).
43.04/43.29	tff(fact_57_abs__power2__distrib, axiom,
43.04/43.29	  (![A1:int]:
43.04/43.29	     (abs_abs(int,power_power(int,A1,number_number_of(nat,bit0(bit1(pls))))) =
43.04/43.29	      power_power(int,abs_abs(int,A1),number_number_of(nat,bit0(bit1(pls))))))).
43.04/43.29	tff('36', plain,
43.04/43.29	    ![X124 : int]:
43.04/43.29	      abs_abs(int, 
43.04/43.29	        power_power(int, X124, number_number_of(nat, bit0(bit1(pls)))))
43.04/43.29	       = power_power(int, abs_abs(int, X124), 
43.04/43.29	           number_number_of(nat, bit0(bit1(pls)))),
43.04/43.29	    inference('cnf', [status(esa)], [fact_57_abs__power2__distrib])).
43.04/43.29	tff('37', plain,
43.04/43.29	    ![X0 : int]:
43.04/43.29	      power_power(int, abs_abs(int, X0), 
43.04/43.29	        number_number_of(nat, bit0(bit1(pls))))
43.04/43.29	       = times_times(int, X0, X0),
43.04/43.29	    inference('demod', [status(thm)], ['35', '36'])).
43.04/43.29	tff('38', plain,
43.04/43.29	    ![X0 : int]:
43.04/43.29	      (times_times(int, bit0(number_number_of(int, X0)), 
43.04/43.29	         number_number_of(int, X0))
43.04/43.29	        = bit0(
43.04/43.29	            power_power(int, number_number_of(int, X0), 
43.04/43.29	              number_number_of(nat, bit0(bit1(pls)))))
43.04/43.29	       | ~ number(int)
43.04/43.29	       | ~ monoid_mult(int)),
43.04/43.29	    inference('sup+', [status(thm)], ['2', '11'])).
43.04/43.29	tff('39', plain,
43.04/43.29	    ![X0 : int]:
43.04/43.29	      (times_times(int, bit0(X0), X0)
43.04/43.29	        = bit0(power_power(int, X0, number_number_of(nat, bit0(bit1(pls)))))
43.04/43.29	       | ~ $true
43.04/43.29	       | ~ $true),
43.04/43.29	    inference('demod', [status(thm)], ['38', '1', '1', '1', '4', '5'])).
43.04/43.29	tff('40', plain,
43.04/43.29	    ![X0 : int]:
43.04/43.29	      times_times(int, bit0(X0), X0)
43.04/43.29	       = bit0(power_power(int, X0, number_number_of(nat, bit0(bit1(pls))))),
43.04/43.29	    inference('simplify', [status(thm)], ['39'])).
43.04/43.29	tff('41', plain,
43.04/43.29	    ![X0 : int]:
43.04/43.29	      times_times(int, X0, bit0(X0))
43.04/43.29	       = bit0(power_power(int, X0, number_number_of(nat, bit0(bit1(pls))))),
43.04/43.29	    inference('demod', [status(thm)], ['40', '14'])).
43.04/43.29	tff('42', plain,
43.04/43.29	    ![X0 : int]:
43.04/43.29	      times_times(int, abs_abs(int, X0), bit0(abs_abs(int, X0)))
43.04/43.29	       = bit0(times_times(int, X0, X0)),
43.04/43.29	    inference('sup+', [status(thm)], ['37', '41'])).
43.04/43.29	tff('43', plain,
43.04/43.29	    ![X0 : int]:
43.04/43.29	      times_times(int, abs_abs(int, X0), bit0(abs_abs(int, X0)))
43.04/43.29	       = times_times(int, X0, bit0(X0)),
43.04/43.29	    inference('demod', [status(thm)], ['42', '16'])).
43.04/43.29	tff('44', plain,
43.04/43.29	    ![X0 : int]:
43.04/43.29	      times_times(int, abs_abs(int, X0), bit0(bit0(abs_abs(int, X0))))
43.04/43.29	       = bit0(times_times(int, X0, bit0(X0))),
43.04/43.29	    inference('sup+', [status(thm)], ['43', '16'])).
43.04/43.29	tff('45', plain,
43.04/43.29	    ![X0 : int]:
43.04/43.29	      times_times(int, abs_abs(int, X0), bit0(bit0(abs_abs(int, X0))))
43.04/43.29	       = times_times(int, X0, bit0(bit0(X0))),
43.04/43.29	    inference('demod', [status(thm)], ['44', '16'])).
43.04/43.29	tff('46', plain,
43.04/43.29	    plus_plus(int, times_times(int, v, bit0(bit0(v))), 
43.04/43.29	      times_times(int, w, bit0(bit0(w))))
43.04/43.29	     != plus_plus(int, times_times(int, v, bit0(bit0(v))), 
43.04/43.29	          times_times(int, w, bit0(bit0(w)))),
43.04/43.29	    inference('demod', [status(thm)], ['28', '45', '45'])).
43.04/43.29	tff('47', plain, $false, inference('simplify', [status(thm)], ['46'])).
43.04/43.29	
43.04/43.29	% SZS output end Refutation
43.04/43.29	EOF
