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
0.00/0.20	% Computer   : n145.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 07:46:53 CST 2018
1.44/1.68	% done 1266 iterations in 1.475s
1.44/1.68	% SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
1.44/1.68	% SZS output start Refutation
1.44/1.68	tff(fact_4_Legendre__1mod4, axiom,
1.44/1.68	  (![M:int]:
1.44/1.68	     (zprime(plus_plus(int,
1.44/1.68	                       times_times(int,
1.44/1.68	                                   number_number_of(int,bit0(bit0(bit1(pls)))),
1.44/1.68	                                   M),
1.44/1.68	                       one_one(int))) =>
1.44/1.68	      (legendre(number_number_of(int,min),
1.44/1.68	                plus_plus(int,
1.44/1.68	                          times_times(int,
1.44/1.68	                                      number_number_of(int,
1.44/1.68	                                                       bit0(bit0(bit1(pls)))),
1.44/1.68	                                      M),
1.44/1.68	                          one_one(int))) =
1.44/1.68	       one_one(int))))).
1.44/1.68	tff('0', plain,
1.44/1.68	    ![X5 : int]:
1.44/1.68	      (legendre(number_number_of(int, min), 
1.44/1.68	         plus_plus(int, 
1.44/1.68	           times_times(int, number_number_of(int, bit0(bit0(bit1(pls)))), X5), 
1.44/1.68	           one_one(int)))
1.44/1.68	        = one_one(int)
1.44/1.68	       | ~ zprime(
1.44/1.68	             plus_plus(int, 
1.44/1.68	               times_times(int, 
1.44/1.68	                 number_number_of(int, bit0(bit0(bit1(pls)))), X5), 
1.44/1.68	               one_one(int)))),
1.44/1.68	    inference('cnf', [status(esa)], [fact_4_Legendre__1mod4])).
1.44/1.68	tff(fact_36_number__of__is__id, axiom,
1.44/1.68	  (![K1:int]: (number_number_of(int,K1) = K1))).
1.44/1.68	tff('1', plain, ![X70 : int]: number_number_of(int, X70) = X70,
1.44/1.68	    inference('cnf', [status(esa)], [fact_36_number__of__is__id])).
1.44/1.68	tff(fact_53_one__is__num__one, axiom,
1.44/1.68	  (one_one(int) = number_number_of(int,bit1(pls)))).
1.44/1.68	tff('2', plain, one_one(int) = number_number_of(int, bit1(pls)),
1.44/1.68	    inference('cnf', [status(esa)], [fact_53_one__is__num__one])).
1.44/1.68	tff('3', plain, one_one(int) = bit1(pls),
1.44/1.68	    inference('demod', [status(thm)], ['2', '1'])).
1.44/1.68	tff('4', plain,
1.44/1.68	    ![X5 : int]:
1.44/1.68	      (legendre(min, 
1.44/1.68	         plus_plus(int, times_times(int, bit0(bit0(one_one(int))), X5), 
1.44/1.68	           one_one(int)))
1.44/1.68	        = one_one(int)
1.44/1.68	       | ~ zprime(
1.44/1.68	             plus_plus(int, times_times(int, bit0(bit0(one_one(int))), X5), 
1.44/1.68	               one_one(int)))),
1.44/1.68	    inference('demod', [status(thm)], ['0', '1', '3', '1', '3', '1'])).
1.44/1.68	tff(fact_23_mult__Pls, axiom, (![W1:int]: (times_times(int,pls,W1) = pls))).
1.44/1.68	tff('5', plain, ![X47 : int]: times_times(int, pls, X47) = pls,
1.44/1.68	    inference('cnf', [status(esa)], [fact_23_mult__Pls])).
1.44/1.68	tff(fact_5_mult__Bit1, axiom,
1.44/1.68	  (![L:int,K1:int]:
1.44/1.68	     (times_times(int,bit1(K1),L) =
1.44/1.68	      plus_plus(int,bit0(times_times(int,K1,L)),L)))).
1.44/1.68	tff('6', plain,
1.44/1.68	    ![X6 : int, X7 : int]:
1.44/1.68	      times_times(int, bit1(X6), X7)
1.44/1.68	       = plus_plus(int, bit0(times_times(int, X6, X7)), X7),
1.44/1.68	    inference('cnf', [status(esa)], [fact_5_mult__Bit1])).
1.44/1.68	tff('7', plain,
1.44/1.68	    ![X0 : int]:
1.44/1.68	      times_times(int, bit1(pls), X0) = plus_plus(int, bit0(pls), X0),
1.44/1.68	    inference('sup+', [status(thm)], ['5', '6'])).
1.44/1.68	tff(fact_22_Bit0__Pls, axiom, (bit0(pls) = pls)).
1.44/1.68	tff('8', plain, bit0(pls) = pls,
1.44/1.68	    inference('cnf', [status(esa)], [fact_22_Bit0__Pls])).
1.44/1.68	tff('9', plain,
1.44/1.68	    ![X0 : int]: times_times(int, one_one(int), X0) = plus_plus(int, pls, X0),
1.44/1.68	    inference('demod', [status(thm)], ['7', '3', '8'])).
1.44/1.68	tff(fact_38_add__Pls, axiom, (![K1:int]: (plus_plus(int,pls,K1) = K1))).
1.44/1.68	tff('10', plain, ![X72 : int]: plus_plus(int, pls, X72) = X72,
1.44/1.68	    inference('cnf', [status(esa)], [fact_38_add__Pls])).
1.44/1.68	tff('11', plain, ![X0 : int]: times_times(int, one_one(int), X0) = X0,
1.44/1.68	    inference('demod', [status(thm)], ['9', '10'])).
1.44/1.68	tff(fact_24_mult__Bit0, axiom,
1.44/1.68	  (![L:int,K1:int]:
1.44/1.68	     (times_times(int,bit0(K1),L) = bit0(times_times(int,K1,L))))).
1.44/1.68	tff('12', plain,
1.44/1.68	    ![X48 : int, X49 : int]:
1.44/1.68	      times_times(int, bit0(X48), X49) = bit0(times_times(int, X48, X49)),
1.44/1.68	    inference('cnf', [status(esa)], [fact_24_mult__Bit0])).
1.44/1.68	tff('13', plain,
1.44/1.68	    ![X0 : int]: times_times(int, bit0(one_one(int)), X0) = bit0(X0),
1.44/1.68	    inference('sup+', [status(thm)], ['11', '12'])).
1.44/1.68	tff('14', plain,
1.44/1.68	    ![X0 : int]:
1.44/1.68	      times_times(int, bit0(bit0(one_one(int))), X0) = bit0(bit0(X0)),
1.44/1.68	    inference('sup+', [status(thm)], ['13', '12'])).
1.44/1.68	tff(fact_7_add__Bit0__Bit1, axiom,
1.44/1.68	  (![L:int,K1:int]:
1.44/1.68	     (plus_plus(int,bit0(K1),bit1(L)) = bit1(plus_plus(int,K1,L))))).
1.44/1.68	tff('15', plain,
1.44/1.68	    ![X9 : int, X10 : int]:
1.44/1.68	      plus_plus(int, bit0(X9), bit1(X10)) = bit1(plus_plus(int, X9, X10)),
1.44/1.68	    inference('cnf', [status(esa)], [fact_7_add__Bit0__Bit1])).
1.44/1.68	tff('16', plain,
1.44/1.68	    ![X0 : int]:
1.44/1.68	      plus_plus(int, bit0(X0), one_one(int)) = bit1(plus_plus(int, X0, pls)),
1.44/1.68	    inference('sup+', [status(thm)], ['3', '15'])).
1.44/1.68	tff(fact_37_add__Pls__right, axiom,
1.44/1.68	  (![K1:int]: (plus_plus(int,K1,pls) = K1))).
1.44/1.68	tff('17', plain, ![X71 : int]: plus_plus(int, X71, pls) = X71,
1.44/1.68	    inference('cnf', [status(esa)], [fact_37_add__Pls__right])).
1.44/1.68	tff('18', plain,
1.44/1.68	    ![X0 : int]: plus_plus(int, bit0(X0), one_one(int)) = bit1(X0),
1.44/1.68	    inference('demod', [status(thm)], ['16', '17'])).
1.44/1.68	tff('19', plain,
1.44/1.68	    ![X5 : int]:
1.44/1.68	      (legendre(min, bit1(bit0(X5))) = one_one(int)
1.44/1.68	       | ~ zprime(bit1(bit0(X5)))),
1.44/1.68	    inference('demod', [status(thm)], ['4', '14', '18', '14', '18'])).
1.44/1.68	tff(conj_0, conjecture,
1.44/1.68	  (legendre(number_number_of(int,min),
1.44/1.68	            plus_plus(int,
1.44/1.68	                      times_times(int,
1.44/1.68	                                  number_number_of(int,bit0(bit0(bit1(pls)))),
1.44/1.68	                                  m),
1.44/1.68	                      one_one(int))) =
1.44/1.68	   one_one(int))).
1.44/1.68	tff(zf_stmt_0, negated_conjecture,
1.44/1.68	  (legendre(number_number_of(int,min),
1.44/1.68	            plus_plus(int,
1.44/1.68	                      times_times(int,
1.44/1.68	                                  number_number_of(int,bit0(bit0(bit1(pls)))),
1.44/1.68	                                  m),
1.44/1.68	                      one_one(int))) !=
1.44/1.68	   one_one(int))).
1.44/1.68	tff('20', plain,
1.44/1.68	    legendre(number_number_of(int, min), 
1.44/1.68	      plus_plus(int, 
1.44/1.68	        times_times(int, number_number_of(int, bit0(bit0(bit1(pls)))), m), 
1.44/1.68	        one_one(int)))
1.44/1.68	     != one_one(int),
1.44/1.68	    inference('cnf', [status(esa)], [zf_stmt_0])).
1.44/1.68	tff(fact_39_Bit0__def, axiom, (![K1:int]: (bit0(K1) = plus_plus(int,K1,K1)))).
1.44/1.68	tff('21', plain, ![X73 : int]: bit0(X73) = plus_plus(int, X73, X73),
1.44/1.68	    inference('cnf', [status(esa)], [fact_39_Bit0__def])).
1.44/1.68	tff(fact_34_right__distrib__number__of, axiom,
1.44/1.68	  (![B2:$tType]:
1.44/1.68	     ((semiring(B2) & number(B2)) =>
1.44/1.68	      (![C:B2,B:B2,V:int]:
1.44/1.68	         (times_times(B2,number_number_of(B2,V),plus_plus(B2,B,C)) =
1.44/1.68	          plus_plus(B2,times_times(B2,number_number_of(B2,V),B),
1.44/1.68	                    times_times(B2,number_number_of(B2,V),C))))))).
1.44/1.68	tff('22', plain,
1.44/1.68	    ![X62 : $tType, X63 : int, X64 : X62, X65 : X62]:
1.44/1.68	      (times_times(X62, number_number_of(X62, X63), plus_plus(X62, X64, X65))
1.44/1.68	        = plus_plus(X62, times_times(X62, number_number_of(X62, X63), X64), 
1.44/1.68	            times_times(X62, number_number_of(X62, X63), X65))
1.44/1.68	       | ~ number(X62)
1.44/1.68	       | ~ semiring(X62)),
1.44/1.68	    inference('cnf', [status(esa)], [fact_34_right__distrib__number__of])).
1.44/1.68	tff('23', plain,
1.44/1.68	    ![X0 : int, X1 : int]:
1.44/1.68	      (times_times(int, number_number_of(int, X1), plus_plus(int, X0, X0))
1.44/1.68	        = bit0(times_times(int, number_number_of(int, X1), X0))
1.44/1.68	       | ~ semiring(int)
1.44/1.68	       | ~ number(int)),
1.44/1.68	    inference('sup+', [status(thm)], ['21', '22'])).
1.44/1.68	tff(arity_Int_Oint___Rings_Osemiring, axiom, (semiring(int))).
1.44/1.68	tff('24', plain, semiring(int),
1.44/1.68	    inference('cnf', [status(esa)], [arity_Int_Oint___Rings_Osemiring])).
1.44/1.68	tff(arity_Int_Oint___Int_Onumber, axiom, (number(int))).
1.44/1.68	tff('25', plain, number(int),
1.44/1.68	    inference('cnf', [status(esa)], [arity_Int_Oint___Int_Onumber])).
1.44/1.68	tff('26', plain,
1.44/1.68	    ![X0 : int, X1 : int]:
1.44/1.68	      (times_times(int, X1, bit0(X0)) = times_times(int, bit0(X1), X0)
1.44/1.68	       | ~ $true
1.44/1.68	       | ~ $true),
1.44/1.68	    inference('demod', [status(thm)],
1.44/1.68	              ['23', '1', '21', '1', '12', '24', '25'])).
1.44/1.68	tff('27', plain,
1.44/1.68	    ![X0 : int, X1 : int]:
1.44/1.68	      times_times(int, X1, bit0(X0)) = times_times(int, bit0(X1), X0),
1.44/1.68	    inference('simplify', [status(thm)], ['26'])).
1.44/1.68	tff('28', plain, legendre(min, bit1(bit0(m))) != one_one(int),
1.44/1.68	    inference('demod', [status(thm)],
1.44/1.68	              ['20', '1', '3', '1', '27', '27', '11', '18'])).
1.44/1.68	tff('29', plain, (one_one(int) != one_one(int) | ~ zprime(bit1(bit0(m)))),
1.44/1.68	    inference('sup-', [status(thm)], ['19', '28'])).
1.44/1.68	tff(fact_0_p, axiom,
1.44/1.68	  (zprime(plus_plus(int,
1.44/1.68	                    times_times(int,
1.44/1.68	                                number_number_of(int,bit0(bit0(bit1(pls)))),m),
1.44/1.68	                    one_one(int))))).
1.44/1.68	tff('30', plain,
1.44/1.68	    zprime(
1.44/1.68	      plus_plus(int, 
1.44/1.68	        times_times(int, number_number_of(int, bit0(bit0(bit1(pls)))), m), 
1.44/1.68	        one_one(int))),
1.44/1.68	    inference('cnf', [status(esa)], [fact_0_p])).
1.44/1.68	tff('31', plain,
1.44/1.68	    zprime(
1.44/1.68	      plus_plus(int, times_times(int, bit0(bit0(bit1(pls))), m), 
1.44/1.68	        one_one(int))),
1.44/1.68	    inference('demod', [status(thm)], ['30', '1'])).
1.44/1.68	tff('32', plain, zprime(bit1(bit0(m))),
1.44/1.68	    inference('demod', [status(thm)], ['31', '3', '14', '18'])).
1.44/1.68	tff('33', plain, (one_one(int) != one_one(int) | ~ $true),
1.44/1.68	    inference('demod', [status(thm)], ['29', '32'])).
1.44/1.68	tff('34', plain, $false, inference('simplify', [status(thm)], ['33'])).
1.44/1.68	
1.44/1.68	% SZS output end Refutation
1.44/1.68	EOF
