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_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
0.00/0.20	% Computer   : n096.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 07:45:09 CST 2018
0.70/0.89	% done 967 iterations in 0.688s
0.70/0.89	% SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
0.70/0.89	% SZS output start Refutation
0.70/0.89	tff(fact_1__096Legendre_A_N1_A_I4_A_K_Am_A_L_A1_J_A_061_A1_A_124_A4_A_K_Am_A_L_A1_Advd_A1_A_124_A4_A_K_Am_A_L_A1_Advd_A2_096, axiom,
0.70/0.89	  ((legendre(number_number_of(int,min),
0.70/0.89	             plus_plus(int,
0.70/0.89	                       times_times(int,
0.70/0.89	                                   number_number_of(int,bit0(bit0(bit1(pls)))),
0.70/0.89	                                   m),
0.70/0.89	                       one_one(int))) =
0.70/0.89	    one_one(int)) | 
0.70/0.89	   dvd_dvd(int,
0.70/0.89	           plus_plus(int,
0.70/0.89	                     times_times(int,
0.70/0.89	                                 number_number_of(int,bit0(bit0(bit1(pls)))),
0.70/0.89	                                 m),
0.70/0.89	                     one_one(int)),
0.70/0.89	           one_one(int)) | 
0.70/0.89	   dvd_dvd(int,
0.70/0.89	           plus_plus(int,
0.70/0.89	                     times_times(int,
0.70/0.89	                                 number_number_of(int,bit0(bit0(bit1(pls)))),
0.70/0.89	                                 m),
0.70/0.89	                     one_one(int)),
0.70/0.89	           number_number_of(int,bit0(bit1(pls)))))).
0.70/0.89	tff('0', plain,
0.70/0.89	    (legendre(number_number_of(int, min), 
0.70/0.89	       plus_plus(int, 
0.70/0.89	         times_times(int, number_number_of(int, bit0(bit0(bit1(pls)))), m), 
0.70/0.89	         one_one(int)))
0.70/0.89	      = one_one(int)
0.70/0.89	     | dvd_dvd(int, 
0.70/0.89	         plus_plus(int, 
0.70/0.89	           times_times(int, number_number_of(int, bit0(bit0(bit1(pls)))), m), 
0.70/0.89	           one_one(int)), one_one(int))
0.70/0.89	     | dvd_dvd(int, 
0.70/0.89	         plus_plus(int, 
0.70/0.89	           times_times(int, number_number_of(int, bit0(bit0(bit1(pls)))), m), 
0.70/0.89	           one_one(int)), number_number_of(int, bit0(bit1(pls))))),
0.70/0.89	    inference('cnf', [status(esa)],
0.70/0.89	              [fact_1__096Legendre_A_N1_A_I4_A_K_Am_A_L_A1_J_A_061_A1_A_124_A4_A_K_Am_A_L_A1_Advd_A1_A_124_A4_A_K_Am_A_L_A1_Advd_A2_096])).
0.70/0.89	tff(fact_0__0964_A_K_Am_A_L_A1_Advd_A1_A_124_A4_A_K_Am_A_L_A1_Advd_A2_A_061_061_062_AFalse_096, axiom,
0.70/0.89	  (~
0.70/0.89	    (dvd_dvd(int,
0.70/0.89	             plus_plus(int,
0.70/0.89	                       times_times(int,
0.70/0.89	                                   number_number_of(int,bit0(bit0(bit1(pls)))),
0.70/0.89	                                   m),
0.70/0.89	                       one_one(int)),
0.70/0.89	             number_number_of(int,bit0(bit1(pls)))) | 
0.70/0.89	     dvd_dvd(int,
0.70/0.89	             plus_plus(int,
0.70/0.89	                       times_times(int,
0.70/0.89	                                   number_number_of(int,bit0(bit0(bit1(pls)))),
0.70/0.89	                                   m),
0.70/0.89	                       one_one(int)),
0.70/0.89	             one_one(int))))).
0.70/0.89	tff('1', plain,
0.70/0.89	    ~ dvd_dvd(int, 
0.70/0.89	        plus_plus(int, 
0.70/0.89	          times_times(int, number_number_of(int, bit0(bit0(bit1(pls)))), m), 
0.70/0.89	          one_one(int)), one_one(int)),
0.70/0.89	    inference('cnf', [status(esa)],
0.70/0.89	              [fact_0__0964_A_K_Am_A_L_A1_Advd_A1_A_124_A4_A_K_Am_A_L_A1_Advd_A2_A_061_061_062_AFalse_096])).
0.70/0.89	tff('2', plain,
0.70/0.89	    (dvd_dvd(int, 
0.70/0.89	       plus_plus(int, 
0.70/0.89	         times_times(int, number_number_of(int, bit0(bit0(bit1(pls)))), m), 
0.70/0.89	         one_one(int)), number_number_of(int, bit0(bit1(pls))))
0.70/0.89	     | legendre(number_number_of(int, min), 
0.70/0.89	         plus_plus(int, 
0.70/0.89	           times_times(int, number_number_of(int, bit0(bit0(bit1(pls)))), m), 
0.70/0.89	           one_one(int)))
0.70/0.89	        = one_one(int)),
0.70/0.89	    inference('clc', [status(thm)], ['0', '1'])).
0.70/0.89	tff('3', plain,
0.70/0.89	    ~ dvd_dvd(int, 
0.70/0.89	        plus_plus(int, 
0.70/0.89	          times_times(int, number_number_of(int, bit0(bit0(bit1(pls)))), m), 
0.70/0.89	          one_one(int)), number_number_of(int, bit0(bit1(pls)))),
0.70/0.89	    inference('cnf', [status(esa)],
0.70/0.89	              [fact_0__0964_A_K_Am_A_L_A1_Advd_A1_A_124_A4_A_K_Am_A_L_A1_Advd_A2_A_061_061_062_AFalse_096])).
0.70/0.89	tff('4', plain,
0.70/0.89	    legendre(number_number_of(int, min), 
0.70/0.89	      plus_plus(int, 
0.70/0.89	        times_times(int, number_number_of(int, bit0(bit0(bit1(pls)))), m), 
0.70/0.89	        one_one(int)))
0.70/0.89	     = one_one(int),
0.70/0.89	    inference('clc', [status(thm)], ['2', '3'])).
0.70/0.89	tff(fact_46_number__of__is__id, axiom,
0.70/0.89	  (![K1:int]: (number_number_of(int,K1) = K1))).
0.70/0.89	tff('5', plain, ![X80 : int]: number_number_of(int, X80) = X80,
0.70/0.89	    inference('cnf', [status(esa)], [fact_46_number__of__is__id])).
0.70/0.89	tff('6', plain,
0.70/0.89	    legendre(min, 
0.70/0.89	      plus_plus(int, times_times(int, bit0(bit0(bit1(pls))), m), 
0.70/0.89	        one_one(int)))
0.70/0.89	     = one_one(int),
0.70/0.89	    inference('demod', [status(thm)], ['4', '5', '5'])).
0.70/0.89	tff(fact_51_Bit0__def, axiom, (![K1:int]: (bit0(K1) = plus_plus(int,K1,K1)))).
0.70/0.89	tff('7', plain, ![X92 : int]: bit0(X92) = plus_plus(int, X92, X92),
0.70/0.89	    inference('cnf', [status(esa)], [fact_51_Bit0__def])).
0.70/0.89	tff(fact_37_right__distrib__number__of, axiom,
0.70/0.89	  (![B:$tType]:
0.70/0.89	     ((semiring(B) & number(B)) =>
0.70/0.89	      (![C:B,B1:B,V:int]:
0.70/0.89	         (times_times(B,number_number_of(B,V),plus_plus(B,B1,C)) =
0.70/0.89	          plus_plus(B,times_times(B,number_number_of(B,V),B1),
0.70/0.89	                    times_times(B,number_number_of(B,V),C))))))).
0.70/0.89	tff('8', plain,
0.70/0.89	    ![X64 : $tType, X65 : int, X66 : X64, X67 : X64]:
0.70/0.89	      (times_times(X64, number_number_of(X64, X65), plus_plus(X64, X66, X67))
0.70/0.89	        = plus_plus(X64, times_times(X64, number_number_of(X64, X65), X66), 
0.70/0.89	            times_times(X64, number_number_of(X64, X65), X67))
0.70/0.89	       | ~ number(X64)
0.70/0.89	       | ~ semiring(X64)),
0.70/0.89	    inference('cnf', [status(esa)], [fact_37_right__distrib__number__of])).
0.70/0.89	tff('9', plain,
0.70/0.89	    ![X0 : int, X1 : int]:
0.70/0.89	      (times_times(int, number_number_of(int, X1), plus_plus(int, X0, X0))
0.70/0.89	        = bit0(times_times(int, number_number_of(int, X1), X0))
0.70/0.89	       | ~ semiring(int)
0.70/0.89	       | ~ number(int)),
0.70/0.89	    inference('sup+', [status(thm)], ['7', '8'])).
0.70/0.89	tff(fact_27_mult__Bit0, axiom,
0.70/0.89	  (![L1:int,K1:int]:
0.70/0.89	     (times_times(int,bit0(K1),L1) = bit0(times_times(int,K1,L1))))).
0.70/0.89	tff('10', plain,
0.70/0.89	    ![X50 : int, X51 : int]:
0.70/0.89	      times_times(int, bit0(X50), X51) = bit0(times_times(int, X50, X51)),
0.70/0.89	    inference('cnf', [status(esa)], [fact_27_mult__Bit0])).
0.70/0.89	tff(arity_Int_Oint___Rings_Osemiring, axiom, (semiring(int))).
0.70/0.89	tff('11', plain, semiring(int),
0.70/0.89	    inference('cnf', [status(esa)], [arity_Int_Oint___Rings_Osemiring])).
0.70/0.89	tff(arity_Int_Oint___Int_Onumber, axiom, (number(int))).
0.70/0.89	tff('12', plain, number(int),
0.70/0.89	    inference('cnf', [status(esa)], [arity_Int_Oint___Int_Onumber])).
0.70/0.89	tff('13', plain,
0.70/0.89	    ![X0 : int, X1 : int]:
0.70/0.89	      (times_times(int, X1, bit0(X0)) = times_times(int, bit0(X1), X0)
0.70/0.89	       | ~ $true
0.70/0.89	       | ~ $true),
0.70/0.89	    inference('demod', [status(thm)], ['9', '5', '7', '5', '10', '11', '12'])).
0.70/0.89	tff('14', plain,
0.70/0.89	    ![X0 : int, X1 : int]:
0.70/0.89	      times_times(int, X1, bit0(X0)) = times_times(int, bit0(X1), X0),
0.70/0.89	    inference('simplify', [status(thm)], ['13'])).
0.70/0.89	tff(fact_25_Bit0__Pls, axiom, (bit0(pls) = pls)).
0.70/0.89	tff('15', plain, bit0(pls) = pls,
0.70/0.89	    inference('cnf', [status(esa)], [fact_25_Bit0__Pls])).
0.70/0.89	tff(fact_6_mult__Bit1, axiom,
0.70/0.89	  (![L1:int,K1:int]:
0.70/0.89	     (times_times(int,bit1(K1),L1) =
0.70/0.89	      plus_plus(int,bit0(times_times(int,K1,L1)),L1)))).
0.70/0.89	tff('16', plain,
0.70/0.89	    ![X5 : int, X6 : int]:
0.70/0.89	      times_times(int, bit1(X5), X6)
0.70/0.89	       = plus_plus(int, bit0(times_times(int, X5, X6)), X6),
0.70/0.89	    inference('cnf', [status(esa)], [fact_6_mult__Bit1])).
0.70/0.89	tff('17', plain,
0.70/0.89	    ![X5 : int, X6 : int]:
0.70/0.89	      times_times(int, bit1(X5), X6)
0.70/0.89	       = plus_plus(int, times_times(int, bit0(X5), X6), X6),
0.70/0.89	    inference('demod', [status(thm)], ['16', '10'])).
0.70/0.89	tff('18', plain,
0.70/0.89	    ![X0 : int]:
0.70/0.89	      times_times(int, bit1(pls), X0)
0.70/0.89	       = plus_plus(int, times_times(int, pls, X0), X0),
0.70/0.89	    inference('sup+', [status(thm)], ['15', '17'])).
0.70/0.89	tff(fact_26_mult__Pls, axiom, (![W:int]: (times_times(int,pls,W) = pls))).
0.70/0.89	tff('19', plain, ![X49 : int]: times_times(int, pls, X49) = pls,
0.70/0.89	    inference('cnf', [status(esa)], [fact_26_mult__Pls])).
0.70/0.89	tff('20', plain,
0.70/0.89	    ![X0 : int]: times_times(int, bit1(pls), X0) = plus_plus(int, pls, X0),
0.70/0.89	    inference('demod', [status(thm)], ['18', '19'])).
0.70/0.89	tff(fact_50_add__Pls, axiom, (![K1:int]: (plus_plus(int,pls,K1) = K1))).
0.70/0.89	tff('21', plain, ![X91 : int]: plus_plus(int, pls, X91) = X91,
0.70/0.89	    inference('cnf', [status(esa)], [fact_50_add__Pls])).
0.70/0.89	tff('22', plain, ![X0 : int]: times_times(int, bit1(pls), X0) = X0,
0.70/0.89	    inference('demod', [status(thm)], ['20', '21'])).
0.70/0.89	tff(fact_65_one__is__num__one, axiom,
0.70/0.89	  (one_one(int) = number_number_of(int,bit1(pls)))).
0.70/0.89	tff('23', plain, one_one(int) = number_number_of(int, bit1(pls)),
0.70/0.89	    inference('cnf', [status(esa)], [fact_65_one__is__num__one])).
0.70/0.89	tff('24', plain, one_one(int) = bit1(pls),
0.70/0.89	    inference('demod', [status(thm)], ['23', '5'])).
0.70/0.89	tff(fact_9_add__Bit0__Bit1, axiom,
0.70/0.89	  (![L1:int,K1:int]:
0.70/0.89	     (plus_plus(int,bit0(K1),bit1(L1)) = bit1(plus_plus(int,K1,L1))))).
0.70/0.89	tff('25', plain,
0.70/0.89	    ![X8 : int, X9 : int]:
0.70/0.89	      plus_plus(int, bit0(X8), bit1(X9)) = bit1(plus_plus(int, X8, X9)),
0.70/0.89	    inference('cnf', [status(esa)], [fact_9_add__Bit0__Bit1])).
0.70/0.89	tff(fact_49_add__Pls__right, axiom,
0.70/0.89	  (![K1:int]: (plus_plus(int,K1,pls) = K1))).
0.70/0.89	tff('26', plain, ![X90 : int]: plus_plus(int, X90, pls) = X90,
0.70/0.89	    inference('cnf', [status(esa)], [fact_49_add__Pls__right])).
0.70/0.89	tff('27', plain, legendre(min, bit1(bit0(m))) = bit1(pls),
0.70/0.89	    inference('demod', [status(thm)],
0.70/0.89	              ['6', '14', '14', '22', '24', '25', '26', '24'])).
0.70/0.89	tff(conj_0, conjecture,
0.70/0.89	  (legendre(number_number_of(int,min),
0.70/0.89	            plus_plus(int,
0.70/0.89	                      times_times(int,
0.70/0.89	                                  number_number_of(int,bit0(bit0(bit1(pls)))),
0.70/0.89	                                  m),
0.70/0.89	                      one_one(int))) =
0.70/0.89	   one_one(int))).
0.70/0.89	tff(zf_stmt_0, negated_conjecture,
0.70/0.89	  (legendre(number_number_of(int,min),
0.70/0.89	            plus_plus(int,
0.70/0.89	                      times_times(int,
0.70/0.89	                                  number_number_of(int,bit0(bit0(bit1(pls)))),
0.70/0.89	                                  m),
0.70/0.89	                      one_one(int))) !=
0.70/0.89	   one_one(int))).
0.70/0.89	tff('28', plain,
0.70/0.89	    legendre(number_number_of(int, min), 
0.70/0.89	      plus_plus(int, 
0.70/0.89	        times_times(int, number_number_of(int, bit0(bit0(bit1(pls)))), m), 
0.70/0.89	        one_one(int)))
0.70/0.89	     != one_one(int),
0.70/0.89	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.70/0.89	tff('29', plain,
0.70/0.89	    ![X0 : int]: times_times(int, bit0(bit1(pls)), X0) = bit0(X0),
0.70/0.89	    inference('sup+', [status(thm)], ['22', '10'])).
0.70/0.89	tff('30', plain,
0.70/0.89	    ![X0 : int]: times_times(int, bit0(bit0(bit1(pls))), X0) = bit0(bit0(X0)),
0.70/0.89	    inference('sup+', [status(thm)], ['29', '10'])).
0.70/0.89	tff('31', plain, legendre(min, bit1(bit0(m))) != bit1(pls),
0.70/0.89	    inference('demod', [status(thm)],
0.70/0.89	              ['28', '5', '5', '30', '24', '25', '26', '24'])).
0.70/0.89	tff('32', plain, $false,
0.70/0.89	    inference('simplify_reflect-', [status(thm)], ['27', '31'])).
0.70/0.89	
0.70/0.89	% SZS output end Refutation
0.70/0.89	EOF
