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    : supatvars_int
0.00/0.00	% Ordering    : rpo6
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	  --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   : n050.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 08:10:53 CST 2018
8.46/8.70	% done 970 iterations in 8.500s
8.46/8.70	% SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
8.46/8.70	% SZS output start Refutation
8.46/8.70	tff(fact_11_t, axiom,
8.46/8.70	  (plus_plus(int,power_power(int,s,number_number_of(nat,bit0(bit1(pls)))),
8.46/8.70	             one_one(int)) =
8.46/8.70	   times_times(int,
8.46/8.70	               plus_plus(int,
8.46/8.70	                         times_times(int,
8.46/8.70	                                     number_number_of(int,
8.46/8.70	                                                      bit0(bit0(bit1(pls)))),
8.46/8.70	                                     m),
8.46/8.70	                         one_one(int)),
8.46/8.70	               t))).
8.46/8.70	tff('0', plain,
8.46/8.70	    plus_plus(int, 
8.46/8.70	      power_power(int, s, number_number_of(nat, bit0(bit1(pls)))), 
8.46/8.70	      one_one(int))
8.46/8.70	     = times_times(int, 
8.46/8.70	         plus_plus(int, 
8.46/8.70	           times_times(int, number_number_of(int, bit0(bit0(bit1(pls)))), m), 
8.46/8.70	           one_one(int)), t),
8.46/8.70	    inference('cnf', [status(esa)], [fact_11_t])).
8.46/8.70	tff(fact_65_one__is__num__one, axiom,
8.46/8.70	  (one_one(int) = number_number_of(int,bit1(pls)))).
8.46/8.70	tff('1', plain, one_one(int) = number_number_of(int, bit1(pls)),
8.46/8.70	    inference('cnf', [status(esa)], [fact_65_one__is__num__one])).
8.46/8.70	tff(fact_45_number__of__is__id, axiom,
8.46/8.70	  (![K1:int]: (number_number_of(int,K1) = K1))).
8.46/8.70	tff('2', plain, ![X78 : int]: number_number_of(int, X78) = X78,
8.46/8.70	    inference('cnf', [status(esa)], [fact_45_number__of__is__id])).
8.46/8.70	tff('3', plain, one_one(int) = bit1(pls),
8.46/8.70	    inference('demod', [status(thm)], ['1', '2'])).
8.46/8.70	tff(fact_26_mult__Bit0, axiom,
8.46/8.70	  (![L1:int,K1:int]:
8.46/8.70	     (times_times(int,bit0(K1),L1) = bit0(times_times(int,K1,L1))))).
8.46/8.70	tff('4', plain,
8.46/8.70	    ![X39 : int, X40 : int]:
8.46/8.70	      times_times(int, bit0(X39), X40) = bit0(times_times(int, X39, X40)),
8.46/8.70	    inference('cnf', [status(esa)], [fact_26_mult__Bit0])).
8.46/8.70	tff(fact_9_mult__Bit1, axiom,
8.46/8.70	  (![L1:int,K1:int]:
8.46/8.70	     (times_times(int,bit1(K1),L1) =
8.46/8.70	      plus_plus(int,bit0(times_times(int,K1,L1)),L1)))).
8.46/8.70	tff('5', plain,
8.46/8.70	    ![X8 : int, X9 : int]:
8.46/8.70	      times_times(int, bit1(X8), X9)
8.46/8.70	       = plus_plus(int, bit0(times_times(int, X8, X9)), X9),
8.46/8.70	    inference('cnf', [status(esa)], [fact_9_mult__Bit1])).
8.46/8.70	tff(fact_25_mult__Pls, axiom, (![W:int]: (times_times(int,pls,W) = pls))).
8.46/8.70	tff('6', plain, ![X38 : int]: times_times(int, pls, X38) = pls,
8.46/8.70	    inference('cnf', [status(esa)], [fact_25_mult__Pls])).
8.46/8.70	tff(fact_24_Bit0__Pls, axiom, (bit0(pls) = pls)).
8.46/8.70	tff('7', plain, bit0(pls) = pls,
8.46/8.70	    inference('cnf', [status(esa)], [fact_24_Bit0__Pls])).
8.46/8.70	tff(fact_48_add__Pls, axiom, (![K1:int]: (plus_plus(int,pls,K1) = K1))).
8.46/8.70	tff('8', plain, ![X83 : int]: plus_plus(int, pls, X83) = X83,
8.46/8.70	    inference('cnf', [status(esa)], [fact_48_add__Pls])).
8.46/8.70	tff(fact_36_add__Bit0__Bit1, axiom,
8.46/8.70	  (![L1:int,K1:int]:
8.46/8.70	     (plus_plus(int,bit0(K1),bit1(L1)) = bit1(plus_plus(int,K1,L1))))).
8.46/8.70	tff('9', plain,
8.46/8.70	    ![X67 : int, X68 : int]:
8.46/8.70	      plus_plus(int, bit0(X67), bit1(X68)) = bit1(plus_plus(int, X67, X68)),
8.46/8.70	    inference('cnf', [status(esa)], [fact_36_add__Bit0__Bit1])).
8.46/8.70	tff(fact_47_add__Pls__right, axiom,
8.46/8.70	  (![K1:int]: (plus_plus(int,K1,pls) = K1))).
8.46/8.70	tff('10', plain, ![X82 : int]: plus_plus(int, X82, pls) = X82,
8.46/8.70	    inference('cnf', [status(esa)], [fact_47_add__Pls__right])).
8.46/8.70	tff(fact_0__096t_A_061_A1_096, axiom, (t = one_one(int))).
8.46/8.70	tff('11', plain, t = one_one(int),
8.46/8.70	    inference('cnf', [status(esa)], [fact_0__096t_A_061_A1_096])).
8.46/8.70	tff('12', plain, t = bit1(pls),
8.46/8.70	    inference('demod', [status(thm)], ['11', '3'])).
8.46/8.70	tff('13', plain,
8.46/8.70	    plus_plus(int, 
8.46/8.70	      power_power(int, s, number_number_of(nat, bit0(bit1(pls)))), bit1(pls))
8.46/8.70	     = bit1(bit0(times_times(int, m, bit1(pls)))),
8.46/8.70	    inference('demod', [status(thm)],
8.46/8.70	              ['0', '3', '2', '4', '4', '5', '6', '7', '8', '3', '9', '10', 
8.46/8.70	               '12', '5', '4', '9', '10'])).
8.46/8.70	tff(arity_Int_Oint___Int_Onumber, axiom, (number(int))).
8.46/8.70	tff('14', plain, number(int),
8.46/8.70	    inference('cnf', [status(esa)], [arity_Int_Oint___Int_Onumber])).
8.46/8.70	tff(fact_3_power2__eq__square__number__of, axiom,
8.46/8.70	  (![B1:$tType]:
8.46/8.70	     ((number(B1) & monoid_mult(B1)) =>
8.46/8.70	      (![W:int]:
8.46/8.70	         (power_power(B1,number_number_of(B1,W),
8.46/8.70	                      number_number_of(nat,bit0(bit1(pls)))) =
8.46/8.70	          times_times(B1,number_number_of(B1,W),number_number_of(B1,W))))))).
8.46/8.70	tff('15', plain,
8.46/8.70	    ![X0 : $tType, X1 : int]:
8.46/8.70	      (power_power(X0, number_number_of(X0, X1), 
8.46/8.70	         number_number_of(nat, bit0(bit1(pls))))
8.46/8.70	        = times_times(X0, number_number_of(X0, X1), number_number_of(X0, X1))
8.46/8.70	       | ~ monoid_mult(X0)
8.46/8.70	       | ~ number(X0)),
8.46/8.70	    inference('cnf', [status(esa)], [fact_3_power2__eq__square__number__of])).
8.46/8.70	tff('16', plain,
8.46/8.70	    ![X0 : int]:
8.46/8.70	      (~ $true
8.46/8.70	       | ~ monoid_mult(int)
8.46/8.70	       | power_power(int, number_number_of(int, X0), 
8.46/8.70	           number_number_of(nat, bit0(bit1(pls))))
8.46/8.70	          = times_times(int, number_number_of(int, X0), 
8.46/8.70	              number_number_of(int, X0))),
8.46/8.70	    inference('sup-', [status(thm)], ['14', '15'])).
8.46/8.70	tff(arity_Int_Oint___Groups_Omonoid__mult, axiom, (monoid_mult(int))).
8.46/8.70	tff('17', plain, monoid_mult(int),
8.46/8.70	    inference('cnf', [status(esa)], [arity_Int_Oint___Groups_Omonoid__mult])).
8.46/8.70	tff('18', plain,
8.46/8.70	    ![X0 : int]:
8.46/8.70	      (~ $true
8.46/8.70	       | ~ $true
8.46/8.70	       | power_power(int, number_number_of(int, X0), 
8.46/8.70	           number_number_of(nat, bit0(bit1(pls))))
8.46/8.70	          = times_times(int, number_number_of(int, X0), 
8.46/8.70	              number_number_of(int, X0))),
8.46/8.70	    inference('demod', [status(thm)], ['16', '17'])).
8.46/8.70	tff('19', plain,
8.46/8.70	    ![X0 : int]:
8.46/8.70	      power_power(int, number_number_of(int, X0), 
8.46/8.70	        number_number_of(nat, bit0(bit1(pls))))
8.46/8.70	       = times_times(int, number_number_of(int, X0), 
8.46/8.70	           number_number_of(int, X0)),
8.46/8.70	    inference('simplify', [status(thm)], ['18'])).
8.46/8.70	tff('20', plain,
8.46/8.70	    ![X0 : int]:
8.46/8.70	      power_power(int, X0, number_number_of(nat, bit0(bit1(pls))))
8.46/8.70	       = times_times(int, X0, X0),
8.46/8.70	    inference('demod', [status(thm)], ['19', '2', '2', '2'])).
8.46/8.70	tff('21', plain,
8.46/8.70	    plus_plus(int, times_times(int, s, s), bit1(pls))
8.46/8.70	     = bit1(bit0(times_times(int, m, bit1(pls)))),
8.46/8.70	    inference('demod', [status(thm)], ['13', '20'])).
8.46/8.70	tff(arity_Int_Oint___Int_Onumber__ring, axiom, (number_ring(int))).
8.46/8.70	tff('22', plain, number_ring(int),
8.46/8.70	    inference('cnf', [status(esa)], [arity_Int_Oint___Int_Onumber__ring])).
8.46/8.70	tff(fact_62_mult__numeral__1__right, axiom,
8.46/8.70	  (![A:$tType]:
8.46/8.70	     (number_ring(A) =>
8.46/8.70	      (![A1:A]: (times_times(A,A1,number_number_of(A,bit1(pls))) = A1))))).
8.46/8.70	tff('23', plain,
8.46/8.70	    ![X112 : $tType, X113 : X112]:
8.46/8.70	      (times_times(X112, X113, number_number_of(X112, bit1(pls))) = X113
8.46/8.70	       | ~ number_ring(X112)),
8.46/8.70	    inference('cnf', [status(esa)], [fact_62_mult__numeral__1__right])).
8.46/8.70	tff('24', plain,
8.46/8.70	    ![X0 : int]:
8.46/8.70	      (~ $true | times_times(int, X0, number_number_of(int, bit1(pls))) = X0),
8.46/8.70	    inference('sup-', [status(thm)], ['22', '23'])).
8.46/8.70	tff('25', plain,
8.46/8.70	    ![X0 : int]: (~ $true | times_times(int, X0, bit1(pls)) = X0),
8.46/8.70	    inference('demod', [status(thm)], ['24', '2'])).
8.46/8.70	tff('26', plain, ![X0 : int]: times_times(int, X0, bit1(pls)) = X0,
8.46/8.70	    inference('simplify', [status(thm)], ['25'])).
8.46/8.70	tff('27', plain,
8.46/8.70	    plus_plus(int, times_times(int, s, s), bit1(pls)) = bit1(bit0(m)),
8.46/8.70	    inference('demod', [status(thm)], ['21', '26'])).
8.46/8.70	tff(conj_0, conjecture,
8.46/8.70	  (?[X:int,Y:int]:
8.46/8.70	     (plus_plus(int,power_power(int,X,number_number_of(nat,bit0(bit1(pls)))),
8.46/8.70	                power_power(int,Y,number_number_of(nat,bit0(bit1(pls))))) =
8.46/8.70	      plus_plus(int,
8.46/8.70	                times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),
8.46/8.70	                one_one(int))))).
8.46/8.70	tff(zf_stmt_0, negated_conjecture,
8.46/8.70	  (~
8.46/8.70	    (?[X:int,Y:int]:
8.46/8.70	       (plus_plus(int,
8.46/8.70	                  power_power(int,X,number_number_of(nat,bit0(bit1(pls)))),
8.46/8.70	                  power_power(int,Y,number_number_of(nat,bit0(bit1(pls))))) =
8.46/8.70	        plus_plus(int,
8.46/8.70	                  times_times(int,
8.46/8.70	                              number_number_of(int,bit0(bit0(bit1(pls)))),m),
8.46/8.70	                  one_one(int)))))).
8.46/8.70	tff('28', plain,
8.46/8.70	    ![X177 : int, X178 : int]:
8.46/8.70	      plus_plus(int, 
8.46/8.70	        power_power(int, X177, number_number_of(nat, bit0(bit1(pls)))), 
8.46/8.70	        power_power(int, X178, number_number_of(nat, bit0(bit1(pls)))))
8.46/8.70	       != plus_plus(int, 
8.46/8.70	            times_times(int, number_number_of(int, bit0(bit0(bit1(pls)))), m), 
8.46/8.70	            one_one(int)),
8.46/8.70	    inference('cnf', [status(esa)], [zf_stmt_0])).
8.46/8.70	tff(fact_49_Bit0__def, axiom, (![K1:int]: (bit0(K1) = plus_plus(int,K1,K1)))).
8.46/8.70	tff('29', plain, ![X84 : int]: bit0(X84) = plus_plus(int, X84, X84),
8.46/8.70	    inference('cnf', [status(esa)], [fact_49_Bit0__def])).
8.46/8.70	tff(fact_32_add__number__of__left, axiom,
8.46/8.70	  (![A:$tType]:
8.46/8.70	     (number_ring(A) =>
8.46/8.70	      (![Z:A,W:int,V:int]:
8.46/8.70	         (plus_plus(A,number_number_of(A,V),
8.46/8.70	                    plus_plus(A,number_number_of(A,W),Z)) =
8.46/8.70	          plus_plus(A,number_number_of(A,plus_plus(int,V,W)),Z)))))).
8.46/8.70	tff('30', plain,
8.46/8.70	    ![X58 : $tType, X59 : int, X60 : int, X61 : X58]:
8.46/8.70	      (plus_plus(X58, number_number_of(X58, X59), 
8.46/8.70	         plus_plus(X58, number_number_of(X58, X60), X61))
8.46/8.70	        = plus_plus(X58, number_number_of(X58, plus_plus(int, X59, X60)), 
8.46/8.70	            X61)
8.46/8.70	       | ~ number_ring(X58)),
8.46/8.70	    inference('cnf', [status(esa)], [fact_32_add__number__of__left])).
8.46/8.70	tff('31', plain,
8.46/8.70	    ![X0 : int, X1 : int, X2 : int]:
8.46/8.70	      (~ $true
8.46/8.70	       | plus_plus(int, number_number_of(int, X2), 
8.46/8.70	           plus_plus(int, number_number_of(int, X1), X0))
8.46/8.70	          = plus_plus(int, number_number_of(int, plus_plus(int, X2, X1)), X0)),
8.46/8.70	    inference('sup-', [status(thm)], ['22', '30'])).
8.46/8.70	tff('32', plain,
8.46/8.70	    ![X0 : int, X1 : int, X2 : int]:
8.46/8.70	      (~ $true
8.46/8.70	       | plus_plus(int, X2, plus_plus(int, X1, X0))
8.46/8.70	          = plus_plus(int, plus_plus(int, X2, X1), X0)),
8.46/8.70	    inference('demod', [status(thm)], ['31', '2', '2', '2'])).
8.46/8.70	tff('33', plain,
8.46/8.70	    ![X0 : int, X1 : int, X2 : int]:
8.46/8.70	      plus_plus(int, X2, plus_plus(int, X1, X0))
8.46/8.70	       = plus_plus(int, plus_plus(int, X2, X1), X0),
8.46/8.70	    inference('simplify', [status(thm)], ['32'])).
8.46/8.70	tff('34', plain,
8.46/8.70	    ![X0 : int, X1 : int]:
8.46/8.70	      plus_plus(int, X0, plus_plus(int, X0, X1))
8.46/8.70	       = plus_plus(int, bit0(X0), X1),
8.46/8.70	    inference('sup+', [status(thm)], ['29', '33'])).
8.46/8.70	tff('35', plain,
8.46/8.70	    ![X8 : int, X9 : int]:
8.46/8.70	      times_times(int, bit1(X8), X9)
8.46/8.70	       = plus_plus(int, times_times(int, X8, X9), 
8.46/8.70	           plus_plus(int, times_times(int, X8, X9), X9)),
8.46/8.70	    inference('demod', [status(thm)], ['5', '34'])).
8.46/8.71	tff(fact_58_Bit1__def, axiom,
8.46/8.71	  (![K1:int]: (bit1(K1) = plus_plus(int,plus_plus(int,one_one(int),K1),K1)))).
8.46/8.71	tff('36', plain,
8.46/8.71	    ![X105 : int]:
8.46/8.71	      bit1(X105) = plus_plus(int, plus_plus(int, one_one(int), X105), X105),
8.46/8.71	    inference('cnf', [status(esa)], [fact_58_Bit1__def])).
8.46/8.71	tff('37', plain,
8.46/8.71	    ![X105 : int]:
8.46/8.71	      bit1(X105) = plus_plus(int, plus_plus(int, bit1(pls), X105), X105),
8.46/8.71	    inference('demod', [status(thm)], ['36', '3'])).
8.46/8.71	tff(fact_51_int__distrib_I1_J, axiom,
8.46/8.71	  (![W:int,Z2:int,Z1:int]:
8.46/8.71	     (times_times(int,plus_plus(int,Z1,Z2),W) =
8.46/8.71	      plus_plus(int,times_times(int,Z1,W),times_times(int,Z2,W))))).
8.46/8.71	tff('38', plain,
8.46/8.71	    ![X87 : int, X88 : int, X89 : int]:
8.46/8.71	      times_times(int, plus_plus(int, X87, X89), X88)
8.46/8.71	       = plus_plus(int, times_times(int, X87, X88), 
8.46/8.71	           times_times(int, X89, X88)),
8.46/8.71	    inference('cnf', [status(esa)], [fact_51_int__distrib_I1_J])).
8.46/8.71	tff('39', plain,
8.46/8.71	    ![X0 : int, X1 : int]:
8.46/8.71	      times_times(int, bit1(X0), X1)
8.46/8.71	       = plus_plus(int, times_times(int, plus_plus(int, bit1(pls), X0), X1), 
8.46/8.71	           times_times(int, X0, X1)),
8.46/8.71	    inference('sup+', [status(thm)], ['37', '38'])).
8.46/8.71	tff('40', plain,
8.46/8.71	    ![X0 : int, X1 : int]:
8.46/8.71	      plus_plus(int, bit0(times_times(int, X0, X1)), X1)
8.46/8.71	       = plus_plus(int, plus_plus(int, X1, times_times(int, X0, X1)), 
8.46/8.71	           times_times(int, X0, X1)),
8.46/8.71	    inference('demod', [status(thm)], ['39', '5', '38', '5', '6', '7', '8'])).
8.46/8.71	tff('41', plain,
8.46/8.71	    ![X0 : int, X1 : int]:
8.46/8.71	      plus_plus(int, bit0(times_times(int, X0, X1)), X1)
8.46/8.71	       = plus_plus(int, X1, bit0(times_times(int, X0, X1))),
8.46/8.71	    inference('demod', [status(thm)], ['40', '33', '29'])).
8.46/8.71	tff('42', plain,
8.46/8.71	    ![X0 : int, X1 : int]:
8.46/8.71	      plus_plus(int, times_times(int, X0, X1), 
8.46/8.71	        plus_plus(int, times_times(int, X0, X1), X1))
8.46/8.71	       = plus_plus(int, X1, bit0(times_times(int, X0, X1))),
8.46/8.71	    inference('demod', [status(thm)], ['41', '34'])).
8.46/8.71	tff('43', plain,
8.46/8.71	    ![X8 : int, X9 : int]:
8.46/8.71	      times_times(int, bit1(X8), X9)
8.46/8.71	       = plus_plus(int, X9, bit0(times_times(int, X8, X9))),
8.46/8.71	    inference('demod', [status(thm)], ['35', '42'])).
8.46/8.71	tff('44', plain,
8.46/8.71	    ![X67 : int, X68 : int]:
8.46/8.71	      plus_plus(int, X67, plus_plus(int, X67, bit1(X68)))
8.46/8.71	       = bit1(plus_plus(int, X67, X68)),
8.46/8.71	    inference('demod', [status(thm)], ['9', '34'])).
8.46/8.71	tff('45', plain,
8.46/8.71	    ![X177 : int, X178 : int]:
8.46/8.71	      plus_plus(int, times_times(int, X177, X177), 
8.46/8.71	        times_times(int, X178, X178))
8.46/8.71	       != bit1(bit0(m)),
8.46/8.71	    inference('demod', [status(thm)],
8.46/8.71	              ['28', '20', '20', '2', '4', '4', '43', '6', '7', '10', '3', 
8.46/8.71	               '34', '34', '44', '10', '34', '44', '29'])).
8.46/8.71	tff('46', plain,
8.46/8.71	    ![X0 : int]:
8.46/8.71	      plus_plus(int, times_times(int, X0, X0), bit1(pls)) != bit1(bit0(m)),
8.46/8.71	    inference('sup-', [status(thm)], ['26', '45'])).
8.46/8.71	tff('47', plain, bit1(bit0(m)) != bit1(bit0(m)),
8.46/8.71	    inference('sup-', [status(thm)], ['27', '46'])).
8.46/8.71	tff('48', plain, $false, inference('simplify', [status(thm)], ['47'])).
8.46/8.71	
8.46/8.71	% SZS output end Refutation
8.52/8.71	EOF
