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   : n132.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 07:50:38 CST 2018
0.56/0.77	% done 847 iterations in 0.573s
0.56/0.77	% SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
0.56/0.77	% SZS output start Refutation
0.56/0.77	tff(fact_1__0964_A_K_Am_A_L_A1_Advd_As_A_094_A2_A_N_A_N1_096, axiom,
0.56/0.77	  (dvd_dvd(int,
0.56/0.77	           plus_plus(int,
0.56/0.77	                     times_times(int,
0.56/0.77	                                 number_number_of(int,bit0(bit0(bit1(pls)))),
0.56/0.77	                                 m),
0.56/0.77	                     one_one(int)),
0.56/0.77	           minus_minus(int,
0.56/0.77	                       power_power(int,s,
0.56/0.77	                                   number_number_of(nat,bit0(bit1(pls)))),
0.56/0.77	                       number_number_of(int,min))))).
0.56/0.77	tff('0', plain,
0.56/0.77	    dvd_dvd(int, 
0.56/0.77	      plus_plus(int, 
0.56/0.77	        times_times(int, number_number_of(int, bit0(bit0(bit1(pls)))), m), 
0.56/0.77	        one_one(int)), 
0.56/0.77	      minus_minus(int, 
0.56/0.77	        power_power(int, s, number_number_of(nat, bit0(bit1(pls)))), 
0.56/0.77	        number_number_of(int, min))),
0.56/0.77	    inference('cnf', [status(esa)],
0.56/0.77	              [fact_1__0964_A_K_Am_A_L_A1_Advd_As_A_094_A2_A_N_A_N1_096])).
0.56/0.77	tff(fact_0__096s_A_094_A2_A_N_A_N1_A_061_As_A_094_A2_A_L_A1_096, axiom,
0.56/0.77	  (minus_minus(int,power_power(int,s,number_number_of(nat,bit0(bit1(pls)))),
0.56/0.77	               number_number_of(int,min)) =
0.56/0.77	   plus_plus(int,power_power(int,s,number_number_of(nat,bit0(bit1(pls)))),
0.56/0.77	             one_one(int)))).
0.56/0.77	tff('1', plain,
0.56/0.77	    minus_minus(int, 
0.56/0.77	      power_power(int, s, number_number_of(nat, bit0(bit1(pls)))), 
0.56/0.77	      number_number_of(int, min))
0.56/0.77	     = plus_plus(int, 
0.56/0.77	         power_power(int, s, number_number_of(nat, bit0(bit1(pls)))), 
0.56/0.77	         one_one(int)),
0.56/0.77	    inference('cnf', [status(esa)],
0.56/0.77	              [fact_0__096s_A_094_A2_A_N_A_N1_A_061_As_A_094_A2_A_L_A1_096])).
0.56/0.77	tff('2', plain,
0.56/0.77	    dvd_dvd(int, 
0.56/0.77	      plus_plus(int, 
0.56/0.77	        times_times(int, number_number_of(int, bit0(bit0(bit1(pls)))), m), 
0.56/0.77	        one_one(int)), 
0.56/0.77	      plus_plus(int, 
0.56/0.77	        power_power(int, s, number_number_of(nat, bit0(bit1(pls)))), 
0.56/0.77	        one_one(int))),
0.56/0.77	    inference('demod', [status(thm)], ['0', '1'])).
0.56/0.77	tff(fact_69_number__of__is__id, axiom,
0.56/0.77	  (![K1:int]: (number_number_of(int,K1) = K1))).
0.56/0.77	tff('3', plain, ![X126 : int]: number_number_of(int, X126) = X126,
0.56/0.77	    inference('cnf', [status(esa)], [fact_69_number__of__is__id])).
0.56/0.77	tff('4', plain,
0.56/0.77	    dvd_dvd(int, 
0.56/0.77	      plus_plus(int, times_times(int, bit0(bit0(bit1(pls))), m), 
0.56/0.77	        one_one(int)), 
0.56/0.77	      plus_plus(int, 
0.56/0.77	        power_power(int, s, number_number_of(nat, bit0(bit1(pls)))), 
0.56/0.77	        one_one(int))),
0.56/0.77	    inference('demod', [status(thm)], ['2', '3'])).
0.56/0.77	tff(fact_79_Bit0__def, axiom, (![K1:int]: (bit0(K1) = plus_plus(int,K1,K1)))).
0.56/0.77	tff('5', plain, ![X144 : int]: bit0(X144) = plus_plus(int, X144, X144),
0.56/0.77	    inference('cnf', [status(esa)], [fact_79_Bit0__def])).
0.56/0.77	tff(fact_37_right__distrib__number__of, axiom,
0.56/0.77	  (![B1:$tType]:
0.56/0.77	     ((semiring(B1) & number(B1)) =>
0.56/0.77	      (![C1:B1,B:B1,V:int]:
0.56/0.77	         (times_times(B1,number_number_of(B1,V),plus_plus(B1,B,C1)) =
0.56/0.77	          plus_plus(B1,times_times(B1,number_number_of(B1,V),B),
0.56/0.77	                    times_times(B1,number_number_of(B1,V),C1))))))).
0.56/0.77	tff('6', plain,
0.56/0.77	    ![X55 : $tType, X56 : int, X57 : X55, X58 : X55]:
0.56/0.77	      (times_times(X55, number_number_of(X55, X56), plus_plus(X55, X57, X58))
0.56/0.77	        = plus_plus(X55, times_times(X55, number_number_of(X55, X56), X57), 
0.56/0.77	            times_times(X55, number_number_of(X55, X56), X58))
0.56/0.77	       | ~ number(X55)
0.56/0.77	       | ~ semiring(X55)),
0.56/0.77	    inference('cnf', [status(esa)], [fact_37_right__distrib__number__of])).
0.56/0.77	tff('7', plain,
0.56/0.77	    ![X0 : int, X1 : int]:
0.56/0.77	      (times_times(int, number_number_of(int, X1), plus_plus(int, X0, X0))
0.56/0.77	        = bit0(times_times(int, number_number_of(int, X1), X0))
0.56/0.77	       | ~ semiring(int)
0.56/0.77	       | ~ number(int)),
0.56/0.77	    inference('sup+', [status(thm)], ['5', '6'])).
0.56/0.77	tff(fact_26_mult__Bit0, axiom,
0.56/0.77	  (![L:int,K1:int]:
0.56/0.77	     (times_times(int,bit0(K1),L) = bit0(times_times(int,K1,L))))).
0.56/0.77	tff('8', plain,
0.56/0.77	    ![X39 : int, X40 : int]:
0.56/0.77	      times_times(int, bit0(X39), X40) = bit0(times_times(int, X39, X40)),
0.56/0.77	    inference('cnf', [status(esa)], [fact_26_mult__Bit0])).
0.56/0.77	tff(arity_Int_Oint___Rings_Osemiring, axiom, (semiring(int))).
0.56/0.77	tff('9', plain, semiring(int),
0.56/0.77	    inference('cnf', [status(esa)], [arity_Int_Oint___Rings_Osemiring])).
0.56/0.77	tff(arity_Int_Oint___Int_Onumber, axiom, (number(int))).
0.56/0.77	tff('10', plain, number(int),
0.56/0.77	    inference('cnf', [status(esa)], [arity_Int_Oint___Int_Onumber])).
0.56/0.77	tff('11', plain,
0.56/0.77	    ![X0 : int, X1 : int]:
0.56/0.77	      (times_times(int, X1, bit0(X0)) = times_times(int, bit0(X1), X0)
0.56/0.77	       | ~ $true
0.56/0.77	       | ~ $true),
0.56/0.77	    inference('demod', [status(thm)], ['7', '3', '5', '3', '8', '9', '10'])).
0.56/0.77	tff('12', plain,
0.56/0.77	    ![X0 : int, X1 : int]:
0.56/0.77	      times_times(int, X1, bit0(X0)) = times_times(int, bit0(X1), X0),
0.56/0.77	    inference('simplify', [status(thm)], ['11'])).
0.56/0.77	tff(fact_24_Bit0__Pls, axiom, (bit0(pls) = pls)).
0.56/0.77	tff('13', plain, bit0(pls) = pls,
0.56/0.77	    inference('cnf', [status(esa)], [fact_24_Bit0__Pls])).
0.56/0.77	tff(fact_9_mult__Bit1, axiom,
0.56/0.77	  (![L:int,K1:int]:
0.56/0.77	     (times_times(int,bit1(K1),L) =
0.56/0.77	      plus_plus(int,bit0(times_times(int,K1,L)),L)))).
0.56/0.77	tff('14', plain,
0.56/0.77	    ![X8 : int, X9 : int]:
0.56/0.77	      times_times(int, bit1(X8), X9)
0.56/0.77	       = plus_plus(int, bit0(times_times(int, X8, X9)), X9),
0.56/0.77	    inference('cnf', [status(esa)], [fact_9_mult__Bit1])).
0.56/0.77	tff('15', plain,
0.56/0.77	    ![X8 : int, X9 : int]:
0.56/0.77	      times_times(int, bit1(X8), X9)
0.56/0.77	       = plus_plus(int, times_times(int, bit0(X8), X9), X9),
0.56/0.77	    inference('demod', [status(thm)], ['14', '8'])).
0.56/0.77	tff('16', plain,
0.56/0.77	    ![X0 : int]:
0.56/0.77	      times_times(int, bit1(pls), X0)
0.56/0.77	       = plus_plus(int, times_times(int, pls, X0), X0),
0.56/0.77	    inference('sup+', [status(thm)], ['13', '15'])).
0.56/0.77	tff(fact_25_mult__Pls, axiom, (![W:int]: (times_times(int,pls,W) = pls))).
0.56/0.77	tff('17', plain, ![X38 : int]: times_times(int, pls, X38) = pls,
0.56/0.77	    inference('cnf', [status(esa)], [fact_25_mult__Pls])).
0.56/0.77	tff('18', plain,
0.56/0.77	    ![X0 : int]: times_times(int, bit1(pls), X0) = plus_plus(int, pls, X0),
0.56/0.77	    inference('demod', [status(thm)], ['16', '17'])).
0.56/0.77	tff(fact_78_add__Pls, axiom, (![K1:int]: (plus_plus(int,pls,K1) = K1))).
0.56/0.77	tff('19', plain, ![X143 : int]: plus_plus(int, pls, X143) = X143,
0.56/0.77	    inference('cnf', [status(esa)], [fact_78_add__Pls])).
0.56/0.77	tff('20', plain, ![X0 : int]: times_times(int, bit1(pls), X0) = X0,
0.56/0.77	    inference('demod', [status(thm)], ['18', '19'])).
0.56/0.77	tff(fact_77_add__Pls__right, axiom,
0.56/0.77	  (![K1:int]: (plus_plus(int,K1,pls) = K1))).
0.56/0.77	tff('21', plain, ![X142 : int]: plus_plus(int, X142, pls) = X142,
0.56/0.77	    inference('cnf', [status(esa)], [fact_77_add__Pls__right])).
0.56/0.77	tff(fact_88_Bit1__def, axiom,
0.56/0.77	  (![K1:int]: (bit1(K1) = plus_plus(int,plus_plus(int,one_one(int),K1),K1)))).
0.56/0.77	tff('22', plain,
0.56/0.77	    ![X165 : int]:
0.56/0.77	      bit1(X165) = plus_plus(int, plus_plus(int, one_one(int), X165), X165),
0.56/0.77	    inference('cnf', [status(esa)], [fact_88_Bit1__def])).
0.56/0.77	tff('23', plain, bit1(pls) = plus_plus(int, one_one(int), pls),
0.56/0.77	    inference('sup+', [status(thm)], ['21', '22'])).
0.56/0.77	tff('24', plain, bit1(pls) = one_one(int),
0.56/0.77	    inference('demod', [status(thm)], ['23', '21'])).
0.56/0.77	tff(fact_46_add__Bit0__Bit1, axiom,
0.56/0.77	  (![L:int,K1:int]:
0.56/0.77	     (plus_plus(int,bit0(K1),bit1(L)) = bit1(plus_plus(int,K1,L))))).
0.56/0.77	tff('25', plain,
0.56/0.77	    ![X83 : int, X84 : int]:
0.56/0.77	      plus_plus(int, bit0(X83), bit1(X84)) = bit1(plus_plus(int, X83, X84)),
0.56/0.77	    inference('cnf', [status(esa)], [fact_46_add__Bit0__Bit1])).
0.56/0.77	tff(fact_4_power2__eq__square__number__of, axiom,
0.56/0.77	  (![B1:$tType]:
0.56/0.77	     ((number(B1) & monoid_mult(B1)) =>
0.56/0.77	      (![W:int]:
0.56/0.77	         (power_power(B1,number_number_of(B1,W),
0.56/0.77	                      number_number_of(nat,bit0(bit1(pls)))) =
0.56/0.77	          times_times(B1,number_number_of(B1,W),number_number_of(B1,W))))))).
0.56/0.77	tff('26', plain,
0.56/0.77	    ![X0 : $tType, X1 : int]:
0.56/0.77	      (power_power(X0, number_number_of(X0, X1), 
0.56/0.77	         number_number_of(nat, bit0(bit1(pls))))
0.56/0.77	        = times_times(X0, number_number_of(X0, X1), number_number_of(X0, X1))
0.56/0.77	       | ~ monoid_mult(X0)
0.56/0.77	       | ~ number(X0)),
0.56/0.77	    inference('cnf', [status(esa)], [fact_4_power2__eq__square__number__of])).
0.56/0.77	tff('27', plain,
0.56/0.77	    ![X0 : int]:
0.56/0.77	      (power_power(int, X0, number_number_of(nat, bit0(bit1(pls))))
0.56/0.77	        = times_times(int, number_number_of(int, X0), 
0.56/0.77	            number_number_of(int, X0))
0.56/0.77	       | ~ number(int)
0.56/0.77	       | ~ monoid_mult(int)),
0.56/0.77	    inference('sup+', [status(thm)], ['3', '26'])).
0.56/0.77	tff(arity_Int_Oint___Groups_Omonoid__mult, axiom, (monoid_mult(int))).
0.56/0.77	tff('28', plain, monoid_mult(int),
0.56/0.77	    inference('cnf', [status(esa)], [arity_Int_Oint___Groups_Omonoid__mult])).
0.56/0.77	tff('29', plain,
0.56/0.77	    ![X0 : int]:
0.56/0.77	      (power_power(int, X0, number_number_of(nat, bit0(bit1(pls))))
0.56/0.77	        = times_times(int, X0, X0)
0.56/0.77	       | ~ $true
0.56/0.77	       | ~ $true),
0.56/0.77	    inference('demod', [status(thm)], ['27', '3', '3', '10', '28'])).
0.56/0.77	tff('30', plain,
0.56/0.77	    ![X0 : int]:
0.56/0.77	      power_power(int, X0, number_number_of(nat, bit0(bit1(pls))))
0.56/0.77	       = times_times(int, X0, X0),
0.56/0.77	    inference('simplify', [status(thm)], ['29'])).
0.56/0.77	tff('31', plain,
0.56/0.77	    dvd_dvd(int, bit1(bit0(m)), 
0.56/0.77	      plus_plus(int, times_times(int, s, s), bit1(pls))),
0.56/0.77	    inference('demod', [status(thm)],
0.56/0.77	              ['4', '12', '12', '20', '24', '25', '21', '30', '24'])).
0.56/0.77	tff(conj_0, conjecture,
0.56/0.77	  (dvd_dvd(int,
0.56/0.77	           plus_plus(int,
0.56/0.77	                     times_times(int,
0.56/0.77	                                 number_number_of(int,bit0(bit0(bit1(pls)))),
0.56/0.77	                                 m),
0.56/0.77	                     one_one(int)),
0.56/0.77	           plus_plus(int,
0.56/0.77	                     power_power(int,s,number_number_of(nat,bit0(bit1(pls)))),
0.56/0.77	                     one_one(int))))).
0.56/0.77	tff(zf_stmt_0, negated_conjecture,
0.56/0.77	  (~
0.56/0.77	    dvd_dvd(int,
0.56/0.77	            plus_plus(int,
0.56/0.77	                      times_times(int,
0.56/0.77	                                  number_number_of(int,bit0(bit0(bit1(pls)))),
0.56/0.77	                                  m),
0.56/0.77	                      one_one(int)),
0.56/0.77	            plus_plus(int,
0.56/0.77	                      power_power(int,s,number_number_of(nat,bit0(bit1(pls)))),
0.56/0.77	                      one_one(int))))).
0.56/0.77	tff('32', plain,
0.56/0.77	    ~ dvd_dvd(int, 
0.56/0.77	        plus_plus(int, 
0.56/0.77	          times_times(int, number_number_of(int, bit0(bit0(bit1(pls)))), m), 
0.56/0.77	          one_one(int)), 
0.56/0.77	        plus_plus(int, 
0.56/0.77	          power_power(int, s, number_number_of(nat, bit0(bit1(pls)))), 
0.56/0.77	          one_one(int))),
0.56/0.77	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.56/0.77	tff('33', plain,
0.56/0.77	    ~ dvd_dvd(int, bit1(bit0(m)), 
0.56/0.77	        plus_plus(int, times_times(int, s, s), bit1(pls))),
0.56/0.77	    inference('demod', [status(thm)],
0.56/0.77	              ['32', '3', '12', '12', '20', '24', '25', '21', '30', '24'])).
0.56/0.77	tff('34', plain, ~ $true, inference('sup-', [status(thm)], ['31', '33'])).
0.56/0.77	tff('35', plain, $false, inference('simplify', [status(thm)], ['34'])).
0.56/0.77	
0.56/0.77	% SZS output end Refutation
0.56/0.77	EOF
