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    : supatvars_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	  --sup-at-vars \
0.00/0.00	  --restrict-hidden-sup-at-vars \
0.00/0.00	  --ho-ext-axiom \
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   : n163.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 08:10:54 CST 2018
18.67/18.86	% done 4204 iterations in 18.652s
18.67/18.86	% SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
18.67/18.86	% SZS output start Refutation
18.67/18.86	tff(fact_11_t, axiom,
18.67/18.86	  (plus_plus(int,power_power(int,s,number_number_of(nat,bit0(bit1(pls)))),
18.67/18.86	             one_one(int)) =
18.67/18.86	   times_times(int,
18.67/18.86	               plus_plus(int,
18.67/18.86	                         times_times(int,
18.67/18.86	                                     number_number_of(int,
18.67/18.86	                                                      bit0(bit0(bit1(pls)))),
18.67/18.86	                                     m),
18.67/18.86	                         one_one(int)),
18.67/18.86	               t))).
18.67/18.86	tff('0', plain,
18.67/18.86	    plus_plus(int, 
18.67/18.86	      power_power(int, s, number_number_of(nat, bit0(bit1(pls)))), 
18.67/18.86	      one_one(int))
18.67/18.86	     = times_times(int, 
18.67/18.86	         plus_plus(int, 
18.67/18.86	           times_times(int, number_number_of(int, bit0(bit0(bit1(pls)))), m), 
18.67/18.86	           one_one(int)), t),
18.67/18.86	    inference('cnf', [status(esa)], [fact_11_t])).
18.67/18.86	tff(fact_65_one__is__num__one, axiom,
18.67/18.86	  (one_one(int) = number_number_of(int,bit1(pls)))).
18.67/18.86	tff('1', plain, one_one(int) = number_number_of(int, bit1(pls)),
18.67/18.86	    inference('cnf', [status(esa)], [fact_65_one__is__num__one])).
18.67/18.86	tff(fact_0__096t_A_061_A1_096, axiom, (t = one_one(int))).
18.67/18.86	tff('2', plain, t = one_one(int),
18.67/18.86	    inference('cnf', [status(esa)], [fact_0__096t_A_061_A1_096])).
18.67/18.86	tff(fact_45_number__of__is__id, axiom,
18.67/18.86	  (![K1:int]: (number_number_of(int,K1) = K1))).
18.67/18.86	tff('3', plain, ![X78 : int]: number_number_of(int, X78) = X78,
18.67/18.86	    inference('cnf', [status(esa)], [fact_45_number__of__is__id])).
18.67/18.86	tff('4', plain, t = bit1(pls),
18.67/18.86	    inference('demod', [status(thm)], ['1', '2', '3'])).
18.67/18.86	tff(fact_26_mult__Bit0, axiom,
18.67/18.86	  (![L1:int,K1:int]:
18.67/18.86	     (times_times(int,bit0(K1),L1) = bit0(times_times(int,K1,L1))))).
18.67/18.86	tff('5', plain,
18.67/18.86	    ![X39 : int, X40 : int]:
18.67/18.86	      times_times(int, bit0(X39), X40) = bit0(times_times(int, X39, X40)),
18.67/18.86	    inference('cnf', [status(esa)], [fact_26_mult__Bit0])).
18.67/18.86	tff(fact_25_mult__Pls, axiom, (![W:int]: (times_times(int,pls,W) = pls))).
18.67/18.86	tff('6', plain, ![X38 : int]: times_times(int, pls, X38) = pls,
18.67/18.86	    inference('cnf', [status(esa)], [fact_25_mult__Pls])).
18.67/18.86	tff(fact_9_mult__Bit1, axiom,
18.67/18.86	  (![L1:int,K1:int]:
18.67/18.86	     (times_times(int,bit1(K1),L1) =
18.67/18.86	      plus_plus(int,bit0(times_times(int,K1,L1)),L1)))).
18.67/18.86	tff('7', plain,
18.67/18.86	    ![X8 : int, X9 : int]:
18.67/18.86	      times_times(int, bit1(X8), X9)
18.67/18.86	       = plus_plus(int, bit0(times_times(int, X8, X9)), X9),
18.67/18.86	    inference('cnf', [status(esa)], [fact_9_mult__Bit1])).
18.67/18.86	tff('8', plain,
18.67/18.86	    ![X0 : int]:
18.67/18.86	      times_times(int, bit1(pls), X0) = plus_plus(int, bit0(pls), X0),
18.67/18.86	    inference('sup+', [status(thm)], ['6', '7'])).
18.67/18.86	tff(fact_24_Bit0__Pls, axiom, (bit0(pls) = pls)).
18.67/18.86	tff('9', plain, bit0(pls) = pls,
18.67/18.86	    inference('cnf', [status(esa)], [fact_24_Bit0__Pls])).
18.67/18.86	tff(fact_48_add__Pls, axiom, (![K1:int]: (plus_plus(int,pls,K1) = K1))).
18.67/18.86	tff('10', plain, ![X83 : int]: plus_plus(int, pls, X83) = X83,
18.67/18.86	    inference('cnf', [status(esa)], [fact_48_add__Pls])).
18.67/18.86	tff('11', plain, ![X0 : int]: times_times(int, t, X0) = X0,
18.67/18.86	    inference('demod', [status(thm)], ['8', '4', '9', '10'])).
18.67/18.86	tff(fact_36_add__Bit0__Bit1, axiom,
18.67/18.86	  (![L1:int,K1:int]:
18.67/18.86	     (plus_plus(int,bit0(K1),bit1(L1)) = bit1(plus_plus(int,K1,L1))))).
18.67/18.86	tff('12', plain,
18.67/18.86	    ![X67 : int, X68 : int]:
18.67/18.86	      plus_plus(int, bit0(X67), bit1(X68)) = bit1(plus_plus(int, X67, X68)),
18.67/18.86	    inference('cnf', [status(esa)], [fact_36_add__Bit0__Bit1])).
18.67/18.86	tff('13', plain,
18.67/18.86	    ![X0 : int]: plus_plus(int, bit0(X0), t) = bit1(plus_plus(int, X0, pls)),
18.67/18.86	    inference('sup+', [status(thm)], ['4', '12'])).
18.67/18.86	tff(fact_47_add__Pls__right, axiom,
18.67/18.86	  (![K1:int]: (plus_plus(int,K1,pls) = K1))).
18.67/18.86	tff('14', plain, ![X82 : int]: plus_plus(int, X82, pls) = X82,
18.67/18.86	    inference('cnf', [status(esa)], [fact_47_add__Pls__right])).
18.67/18.86	tff('15', plain, ![X0 : int]: plus_plus(int, bit0(X0), t) = bit1(X0),
18.67/18.86	    inference('demod', [status(thm)], ['13', '14'])).
18.67/18.86	tff('16', plain,
18.67/18.86	    ![X0 : int]:
18.67/18.86	      times_times(int, bit1(X0), t) = bit1(times_times(int, X0, t)),
18.67/18.86	    inference('sup+', [status(thm)], ['7', '15'])).
18.67/18.86	tff('17', plain,
18.67/18.86	    plus_plus(int, power_power(int, s, number_number_of(nat, bit0(t))), t)
18.67/18.86	     = bit1(bit0(times_times(int, m, t))),
18.67/18.86	    inference('demod', [status(thm)],
18.67/18.86	              ['0', '4', '2', '4', '3', '5', '5', '11', '2', '15', '16', '5'])).
18.67/18.86	tff(fact_3_power2__eq__square__number__of, axiom,
18.67/18.86	  (![B1:$tType]:
18.67/18.86	     ((number(B1) & monoid_mult(B1)) =>
18.67/18.86	      (![W:int]:
18.67/18.86	         (power_power(B1,number_number_of(B1,W),
18.67/18.86	                      number_number_of(nat,bit0(bit1(pls)))) =
18.67/18.86	          times_times(B1,number_number_of(B1,W),number_number_of(B1,W))))))).
18.67/18.86	tff('18', plain,
18.67/18.86	    ![X0 : $tType, X1 : int]:
18.67/18.86	      (power_power(X0, number_number_of(X0, X1), 
18.67/18.86	         number_number_of(nat, bit0(bit1(pls))))
18.67/18.86	        = times_times(X0, number_number_of(X0, X1), number_number_of(X0, X1))
18.67/18.86	       | ~ monoid_mult(X0)
18.67/18.86	       | ~ number(X0)),
18.67/18.86	    inference('cnf', [status(esa)], [fact_3_power2__eq__square__number__of])).
18.67/18.86	tff('19', plain,
18.67/18.86	    ![X0 : int]:
18.67/18.86	      (power_power(int, X0, number_number_of(nat, bit0(bit1(pls))))
18.67/18.86	        = times_times(int, number_number_of(int, X0), 
18.67/18.86	            number_number_of(int, X0))
18.67/18.86	       | ~ number(int)
18.67/18.86	       | ~ monoid_mult(int)),
18.67/18.86	    inference('sup+', [status(thm)], ['3', '18'])).
18.67/18.86	tff(arity_Int_Oint___Int_Onumber, axiom, (number(int))).
18.67/18.86	tff('20', plain, number(int),
18.67/18.86	    inference('cnf', [status(esa)], [arity_Int_Oint___Int_Onumber])).
18.67/18.86	tff(arity_Int_Oint___Groups_Omonoid__mult, axiom, (monoid_mult(int))).
18.67/18.86	tff('21', plain, monoid_mult(int),
18.67/18.86	    inference('cnf', [status(esa)], [arity_Int_Oint___Groups_Omonoid__mult])).
18.67/18.86	tff('22', plain,
18.67/18.86	    ![X0 : int]:
18.67/18.86	      (power_power(int, X0, number_number_of(nat, bit0(bit1(pls))))
18.67/18.86	        = times_times(int, X0, X0)
18.67/18.86	       | ~ $true
18.67/18.86	       | ~ $true),
18.67/18.86	    inference('demod', [status(thm)], ['19', '3', '3', '20', '21'])).
18.67/18.86	tff('23', plain,
18.67/18.86	    ![X0 : int]:
18.67/18.86	      power_power(int, X0, number_number_of(nat, bit0(bit1(pls))))
18.67/18.86	       = times_times(int, X0, X0),
18.67/18.86	    inference('simplify', [status(thm)], ['22'])).
18.67/18.86	tff('24', plain,
18.67/18.86	    ![X0 : int]:
18.67/18.86	      power_power(int, X0, number_number_of(nat, bit0(t)))
18.67/18.86	       = times_times(int, X0, X0),
18.67/18.86	    inference('demod', [status(thm)], ['23', '4'])).
18.67/18.86	tff('25', plain,
18.67/18.86	    plus_plus(int, times_times(int, s, s), t)
18.67/18.86	     = bit1(bit0(times_times(int, m, t))),
18.67/18.86	    inference('demod', [status(thm)], ['17', '24'])).
18.67/18.86	tff(fact_62_mult__numeral__1__right, axiom,
18.67/18.86	  (![A:$tType]:
18.67/18.86	     (number_ring(A) =>
18.67/18.86	      (![A1:A]: (times_times(A,A1,number_number_of(A,bit1(pls))) = A1))))).
18.67/18.86	tff('26', plain,
18.67/18.86	    ![X112 : $tType, X113 : X112]:
18.67/18.86	      (times_times(X112, X113, number_number_of(X112, bit1(pls))) = X113
18.67/18.86	       | ~ number_ring(X112)),
18.67/18.86	    inference('cnf', [status(esa)], [fact_62_mult__numeral__1__right])).
18.67/18.86	tff('27', plain,
18.67/18.86	    ![X112 : $tType, X113 : X112]:
18.67/18.86	      (times_times(X112, X113, number_number_of(X112, t)) = X113
18.67/18.86	       | ~ number_ring(X112)),
18.67/18.86	    inference('demod', [status(thm)], ['26', '4'])).
18.67/18.86	tff('28', plain,
18.67/18.86	    ![X0 : int]: (times_times(int, X0, t) = X0 | ~ number_ring(int)),
18.67/18.86	    inference('sup+', [status(thm)], ['3', '27'])).
18.67/18.86	tff(arity_Int_Oint___Int_Onumber__ring, axiom, (number_ring(int))).
18.67/18.86	tff('29', plain, number_ring(int),
18.67/18.86	    inference('cnf', [status(esa)], [arity_Int_Oint___Int_Onumber__ring])).
18.67/18.86	tff('30', plain, ![X0 : int]: (times_times(int, X0, t) = X0 | ~ $true),
18.67/18.86	    inference('demod', [status(thm)], ['28', '29'])).
18.67/18.86	tff('31', plain, ![X0 : int]: times_times(int, X0, t) = X0,
18.67/18.86	    inference('simplify', [status(thm)], ['30'])).
18.67/18.86	tff('32', plain, plus_plus(int, times_times(int, s, s), t) = bit1(bit0(m)),
18.67/18.86	    inference('demod', [status(thm)], ['25', '31'])).
18.67/18.86	tff(fact_80_power__one, axiom,
18.67/18.86	  (![A:$tType]:
18.67/18.86	     (monoid_mult(A) =>
18.67/18.86	      (![N:nat]: (power_power(A,one_one(A),N) = one_one(A)))))).
18.67/18.86	tff('33', plain,
18.67/18.86	    ![X138 : $tType, X139 : nat]:
18.67/18.86	      (power_power(X138, one_one(X138), X139) = one_one(X138)
18.67/18.86	       | ~ monoid_mult(X138)),
18.67/18.86	    inference('cnf', [status(esa)], [fact_80_power__one])).
18.67/18.86	tff('34', plain,
18.67/18.86	    ![X0 : nat]:
18.67/18.86	      (power_power(int, t, X0) = one_one(int) | ~ monoid_mult(int)),
18.67/18.86	    inference('sup+', [status(thm)], ['2', '33'])).
18.67/18.86	tff('35', plain, ![X0 : nat]: (power_power(int, t, X0) = t | ~ $true),
18.67/18.86	    inference('demod', [status(thm)], ['34', '2', '21'])).
18.67/18.86	tff('36', plain, ![X0 : nat]: power_power(int, t, X0) = t,
18.67/18.86	    inference('simplify', [status(thm)], ['35'])).
18.67/18.86	tff(conj_0, conjecture,
18.67/18.86	  (?[X:int,Y:int]:
18.67/18.86	     (plus_plus(int,power_power(int,X,number_number_of(nat,bit0(bit1(pls)))),
18.67/18.86	                power_power(int,Y,number_number_of(nat,bit0(bit1(pls))))) =
18.67/18.86	      plus_plus(int,
18.67/18.86	                times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),
18.67/18.86	                one_one(int))))).
18.67/18.86	tff(zf_stmt_0, negated_conjecture,
18.67/18.86	  (~
18.67/18.86	    (?[X:int,Y:int]:
18.67/18.86	       (plus_plus(int,
18.67/18.86	                  power_power(int,X,number_number_of(nat,bit0(bit1(pls)))),
18.67/18.86	                  power_power(int,Y,number_number_of(nat,bit0(bit1(pls))))) =
18.67/18.86	        plus_plus(int,
18.67/18.86	                  times_times(int,
18.67/18.86	                              number_number_of(int,bit0(bit0(bit1(pls)))),m),
18.67/18.86	                  one_one(int)))))).
18.67/18.86	tff('37', plain,
18.67/18.86	    ![X177 : int, X178 : int]:
18.67/18.86	      plus_plus(int, 
18.67/18.86	        power_power(int, X177, number_number_of(nat, bit0(bit1(pls)))), 
18.67/18.86	        power_power(int, X178, number_number_of(nat, bit0(bit1(pls)))))
18.67/18.86	       != plus_plus(int, 
18.67/18.86	            times_times(int, number_number_of(int, bit0(bit0(bit1(pls)))), m), 
18.67/18.86	            one_one(int)),
18.67/18.86	    inference('cnf', [status(esa)], [zf_stmt_0])).
18.67/18.86	tff('38', plain,
18.67/18.86	    ![X177 : int, X178 : int]:
18.67/18.86	      plus_plus(int, power_power(int, X177, number_number_of(nat, bit0(t))), 
18.67/18.86	        power_power(int, X178, number_number_of(nat, bit0(t))))
18.67/18.86	       != bit1(bit0(m)),
18.67/18.86	    inference('demod', [status(thm)],
18.67/18.86	              ['37', '4', '4', '4', '3', '5', '5', '11', '2', '15'])).
18.67/18.86	tff('39', plain,
18.67/18.86	    ![X0 : int]:
18.67/18.86	      plus_plus(int, power_power(int, X0, number_number_of(nat, bit0(t))), t)
18.67/18.86	       != bit1(bit0(m)),
18.67/18.86	    inference('sup-', [status(thm)], ['36', '38'])).
18.67/18.86	tff('40', plain,
18.67/18.86	    ![X0 : int]: plus_plus(int, times_times(int, X0, X0), t) != bit1(bit0(m)),
18.67/18.86	    inference('sup-', [status(thm)], ['24', '39'])).
18.67/18.86	tff('41', plain, bit1(bit0(m)) != bit1(bit0(m)),
18.67/18.86	    inference('sup-', [status(thm)], ['32', '40'])).
18.67/18.86	tff('42', plain, $false, inference('simplify', [status(thm)], ['41'])).
18.67/18.86	
18.67/18.86	% SZS output end Refutation
18.67/18.86	EOF
