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_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 $2  \
0.00/0.00	  --simultaneous-sup false \
0.00/0.00	  --sup-at-vars \
0.00/0.00	  --ho-no-ext-pos \
0.00/0.00	  --ho-no-ext-neg \
0.00/0.00	  --ho-prim-enum none \
0.00/0.00	  --no-max-vars \
0.00/0.00	  --dont-select-ho-var-lits \
0.00/0.00	  --no-fool
0.00/0.20	% Computer   : n096.star.cs.uiowa.edu
0.00/0.20	% Model      : x86_64 x86_64
0.00/0.20	% CPU        : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
0.00/0.20	% Memory     : 32218.625MB
0.00/0.20	% OS         : Linux 3.10.0-693.2.2.el7.x86_64
0.00/0.20	% CPULimit   : 300
0.00/0.20	% DateTime   : Fri Feb  2 07:49:53 CST 2018
0.41/0.59	% done 901 iterations in 0.390s
0.41/0.59	% SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
0.41/0.59	% SZS output start Refutation
0.41/0.60	tff(fact_85_QuadRes__def, axiom,
0.41/0.60	  (![X1:int,Ma:int]:
0.41/0.60	     (quadRes(Ma,X1) <=>
0.41/0.60	      (?[Y1:int]:
0.41/0.60	         zcong(power_power(int,Y1,number_number_of(nat,bit0(bit1(pls)))),X1,
0.41/0.60	               Ma))))).
0.41/0.60	tff('0', plain,
0.41/0.60	    ![X145 : int, X146 : int]:
0.41/0.60	      (zcong(
0.41/0.60	         power_power(int, sk_Y1(X145, X146), 
0.41/0.60	           number_number_of(nat, bit0(bit1(pls)))), X146, X145)
0.41/0.60	       | ~ quadRes(X145, X146)),
0.41/0.60	    inference('cnf', [status(esa)], [fact_85_QuadRes__def])).
0.41/0.60	tff(arity_Int_Oint___Int_Onumber, axiom, (number(int))).
0.41/0.60	tff('1', plain, number(int),
0.41/0.60	    inference('cnf', [status(esa)], [arity_Int_Oint___Int_Onumber])).
0.41/0.60	tff(fact_4_power2__eq__square__number__of, axiom,
0.41/0.60	  (![B2:$tType]:
0.41/0.60	     ((number(B2) & monoid_mult(B2)) =>
0.41/0.60	      (![W:int]:
0.41/0.60	         (power_power(B2,number_number_of(B2,W),
0.41/0.60	                      number_number_of(nat,bit0(bit1(pls)))) =
0.41/0.60	          times_times(B2,number_number_of(B2,W),number_number_of(B2,W))))))).
0.41/0.60	tff('2', plain,
0.41/0.60	    ![X0 : $tType, X1 : int]:
0.41/0.60	      (power_power(X0, number_number_of(X0, X1), 
0.41/0.60	         number_number_of(nat, bit0(bit1(pls))))
0.41/0.60	        = times_times(X0, number_number_of(X0, X1), number_number_of(X0, X1))
0.41/0.60	       | ~ monoid_mult(X0)
0.41/0.60	       | ~ number(X0)),
0.41/0.60	    inference('cnf', [status(esa)], [fact_4_power2__eq__square__number__of])).
0.41/0.60	tff('3', plain,
0.41/0.60	    ![X0 : int]:
0.41/0.60	      (~ $true
0.41/0.60	       | ~ monoid_mult(int)
0.41/0.60	       | power_power(int, number_number_of(int, X0), 
0.41/0.60	           number_number_of(nat, bit0(bit1(pls))))
0.41/0.60	          = times_times(int, number_number_of(int, X0), 
0.41/0.60	              number_number_of(int, X0))),
0.41/0.60	    inference('sup-', [status(thm)], ['1', '2'])).
0.41/0.60	tff(arity_Int_Oint___Groups_Omonoid__mult, axiom, (monoid_mult(int))).
0.41/0.60	tff('4', plain, monoid_mult(int),
0.41/0.60	    inference('cnf', [status(esa)], [arity_Int_Oint___Groups_Omonoid__mult])).
0.41/0.60	tff(fact_50_number__of__is__id, axiom,
0.41/0.60	  (![K1:int]: (number_number_of(int,K1) = K1))).
0.41/0.60	tff('5', plain, ![X84 : int]: number_number_of(int, X84) = X84,
0.41/0.60	    inference('cnf', [status(esa)], [fact_50_number__of__is__id])).
0.41/0.60	tff('6', plain,
0.41/0.60	    ![X0 : int]:
0.41/0.60	      (~ $true
0.41/0.60	       | ~ $true
0.41/0.60	       | power_power(int, X0, number_number_of(nat, bit0(bit1(pls))))
0.41/0.60	          = times_times(int, X0, X0)),
0.41/0.60	    inference('demod', [status(thm)], ['3', '4', '5', '5', '5'])).
0.41/0.60	tff('7', plain,
0.41/0.60	    ![X0 : int]:
0.41/0.60	      power_power(int, X0, number_number_of(nat, bit0(bit1(pls))))
0.41/0.60	       = times_times(int, X0, X0),
0.41/0.60	    inference('simplify', [status(thm)], ['6'])).
0.41/0.60	tff('8', plain,
0.41/0.60	    ![X145 : int, X146 : int]:
0.41/0.60	      (zcong(times_times(int, sk_Y1(X145, X146), sk_Y1(X145, X146)), X146, 
0.41/0.60	         X145)
0.41/0.60	       | ~ quadRes(X145, X146)),
0.41/0.60	    inference('demod', [status(thm)], ['0', '7'])).
0.41/0.60	tff(conj_0, axiom,
0.41/0.60	  (![S1:int]:
0.41/0.60	     (zcong(power_power(int,S1,number_number_of(nat,bit0(bit1(pls)))),
0.41/0.60	            number_number_of(int,min),
0.41/0.60	            plus_plus(int,
0.41/0.60	                      times_times(int,
0.41/0.60	                                  number_number_of(int,bit0(bit0(bit1(pls)))),
0.41/0.60	                                  m),
0.41/0.60	                      one_one(int))) =>
0.41/0.60	      thesis))).
0.41/0.60	tff('9', plain,
0.41/0.60	    ![X182 : int]:
0.41/0.60	      (thesis
0.41/0.60	       | ~ zcong(
0.41/0.60	             power_power(int, X182, number_number_of(nat, bit0(bit1(pls)))), 
0.41/0.60	             number_number_of(int, min), 
0.41/0.60	             plus_plus(int, 
0.41/0.60	               times_times(int, 
0.41/0.60	                 number_number_of(int, bit0(bit0(bit1(pls)))), m), 
0.41/0.60	               one_one(int)))),
0.41/0.60	    inference('cnf', [status(esa)], [conj_0])).
0.41/0.60	tff(arity_Int_Oint___Int_Onumber__ring, axiom, (number_ring(int))).
0.41/0.60	tff('10', plain, number_ring(int),
0.41/0.60	    inference('cnf', [status(esa)], [arity_Int_Oint___Int_Onumber__ring])).
0.41/0.60	tff(fact_69_mult__numeral__1__right, axiom,
0.41/0.60	  (![A:$tType]:
0.41/0.60	     (number_ring(A) =>
0.41/0.60	      (![A1:A]: (times_times(A,A1,number_number_of(A,bit1(pls))) = A1))))).
0.41/0.60	tff('11', plain,
0.41/0.60	    ![X119 : $tType, X120 : X119]:
0.41/0.60	      (times_times(X119, X120, number_number_of(X119, bit1(pls))) = X120
0.41/0.60	       | ~ number_ring(X119)),
0.41/0.60	    inference('cnf', [status(esa)], [fact_69_mult__numeral__1__right])).
0.41/0.60	tff('12', plain,
0.41/0.60	    ![X0 : int]:
0.41/0.60	      (~ $true | times_times(int, X0, number_number_of(int, bit1(pls))) = X0),
0.41/0.60	    inference('sup-', [status(thm)], ['10', '11'])).
0.41/0.60	tff('13', plain,
0.41/0.60	    ![X0 : int]: (~ $true | times_times(int, X0, bit1(pls)) = X0),
0.41/0.60	    inference('demod', [status(thm)], ['12', '5'])).
0.41/0.60	tff('14', plain, ![X0 : int]: times_times(int, X0, bit1(pls)) = X0,
0.41/0.60	    inference('simplify', [status(thm)], ['13'])).
0.41/0.60	tff(fact_58_int__distrib_I1_J, axiom,
0.41/0.60	  (![W:int,Z2:int,Z1:int]:
0.41/0.60	     (times_times(int,plus_plus(int,Z1,Z2),W) =
0.41/0.60	      plus_plus(int,times_times(int,Z1,W),times_times(int,Z2,W))))).
0.41/0.60	tff('15', plain,
0.41/0.60	    ![X96 : int, X97 : int, X98 : int]:
0.41/0.60	      times_times(int, plus_plus(int, X96, X98), X97)
0.41/0.60	       = plus_plus(int, times_times(int, X96, X97), 
0.41/0.60	           times_times(int, X98, X97)),
0.41/0.60	    inference('cnf', [status(esa)], [fact_58_int__distrib_I1_J])).
0.41/0.60	tff(fact_59_int__distrib_I2_J, axiom,
0.41/0.60	  (![Z2:int,Z1:int,W:int]:
0.41/0.60	     (times_times(int,W,plus_plus(int,Z1,Z2)) =
0.41/0.60	      plus_plus(int,times_times(int,W,Z1),times_times(int,W,Z2))))).
0.41/0.60	tff('16', plain,
0.41/0.60	    ![X99 : int, X100 : int, X101 : int]:
0.41/0.60	      times_times(int, X99, plus_plus(int, X100, X101))
0.41/0.60	       = plus_plus(int, times_times(int, X99, X100), 
0.41/0.60	           times_times(int, X99, X101)),
0.41/0.60	    inference('cnf', [status(esa)], [fact_59_int__distrib_I2_J])).
0.41/0.60	tff('17', plain,
0.41/0.60	    ![X0 : int, X1 : int]:
0.41/0.60	      times_times(int, X1, plus_plus(int, X0, X0))
0.41/0.60	       = times_times(int, plus_plus(int, X1, X1), X0),
0.41/0.60	    inference('sup+', [status(thm)], ['15', '16'])).
0.41/0.60	tff(fact_56_Bit0__def, axiom, (![K1:int]: (bit0(K1) = plus_plus(int,K1,K1)))).
0.41/0.60	tff('18', plain, ![X93 : int]: bit0(X93) = plus_plus(int, X93, X93),
0.41/0.60	    inference('cnf', [status(esa)], [fact_56_Bit0__def])).
0.41/0.60	tff('19', plain,
0.41/0.60	    ![X0 : int, X1 : int]:
0.41/0.60	      times_times(int, X1, bit0(X0)) = times_times(int, bit0(X1), X0),
0.41/0.60	    inference('demod', [status(thm)], ['17', '18', '18'])).
0.41/0.60	tff('20', plain,
0.41/0.60	    ![X0 : int]: times_times(int, X0, bit0(bit1(pls))) = bit0(X0),
0.41/0.60	    inference('sup+', [status(thm)], ['14', '19'])).
0.41/0.60	tff(fact_38_mult__number__of__left, axiom,
0.41/0.60	  (![A:$tType]:
0.41/0.60	     (number_ring(A) =>
0.41/0.60	      (![Z:A,W:int,V:int]:
0.41/0.60	         (times_times(A,number_number_of(A,V),
0.41/0.60	                      times_times(A,number_number_of(A,W),Z)) =
0.41/0.60	          times_times(A,number_number_of(A,times_times(int,V,W)),Z)))))).
0.41/0.60	tff('21', plain,
0.41/0.60	    ![X61 : $tType, X62 : int, X63 : int, X64 : X61]:
0.41/0.60	      (times_times(X61, number_number_of(X61, X62), 
0.41/0.60	         times_times(X61, number_number_of(X61, X63), X64))
0.41/0.60	        = times_times(X61, 
0.41/0.60	            number_number_of(X61, times_times(int, X62, X63)), X64)
0.41/0.60	       | ~ number_ring(X61)),
0.41/0.60	    inference('cnf', [status(esa)], [fact_38_mult__number__of__left])).
0.41/0.60	tff('22', plain,
0.41/0.60	    ![X0 : int, X1 : int, X2 : int]:
0.41/0.60	      (~ $true
0.41/0.60	       | times_times(int, number_number_of(int, X2), 
0.41/0.60	           times_times(int, number_number_of(int, X1), X0))
0.41/0.60	          = times_times(int, 
0.41/0.60	              number_number_of(int, times_times(int, X2, X1)), X0)),
0.41/0.60	    inference('sup-', [status(thm)], ['10', '21'])).
0.41/0.60	tff('23', plain,
0.41/0.60	    ![X0 : int, X1 : int, X2 : int]:
0.41/0.60	      (~ $true
0.41/0.60	       | times_times(int, X2, times_times(int, X1, X0))
0.41/0.60	          = times_times(int, times_times(int, X2, X1), X0)),
0.41/0.60	    inference('demod', [status(thm)], ['22', '5', '5', '5'])).
0.41/0.60	tff('24', plain,
0.41/0.60	    ![X0 : int, X1 : int, X2 : int]:
0.41/0.60	      times_times(int, X2, times_times(int, X1, X0))
0.41/0.60	       = times_times(int, times_times(int, X2, X1), X0),
0.41/0.60	    inference('simplify', [status(thm)], ['23'])).
0.41/0.60	tff(fact_72_one__is__num__one, axiom,
0.41/0.60	  (one_one(int) = number_number_of(int,bit1(pls)))).
0.41/0.60	tff('25', plain, one_one(int) = number_number_of(int, bit1(pls)),
0.41/0.60	    inference('cnf', [status(esa)], [fact_72_one__is__num__one])).
0.41/0.60	tff('26', plain, one_one(int) = bit1(pls),
0.41/0.60	    inference('demod', [status(thm)], ['25', '5'])).
0.41/0.60	tff(fact_25_Bit0__Pls, axiom, (bit0(pls) = pls)).
0.41/0.60	tff('27', plain, bit0(pls) = pls,
0.41/0.60	    inference('cnf', [status(esa)], [fact_25_Bit0__Pls])).
0.41/0.60	tff(fact_9_mult__Bit1, axiom,
0.41/0.60	  (![L:int,K1:int]:
0.41/0.60	     (times_times(int,bit1(K1),L) =
0.41/0.60	      plus_plus(int,bit0(times_times(int,K1,L)),L)))).
0.41/0.60	tff('28', plain,
0.41/0.60	    ![X8 : int, X9 : int]:
0.41/0.60	      times_times(int, bit1(X8), X9)
0.41/0.60	       = plus_plus(int, bit0(times_times(int, X8, X9)), X9),
0.41/0.60	    inference('cnf', [status(esa)], [fact_9_mult__Bit1])).
0.41/0.60	tff(fact_27_mult__Bit0, axiom,
0.41/0.60	  (![L:int,K1:int]:
0.41/0.60	     (times_times(int,bit0(K1),L) = bit0(times_times(int,K1,L))))).
0.41/0.60	tff('29', plain,
0.41/0.60	    ![X43 : int, X44 : int]:
0.41/0.60	      times_times(int, bit0(X43), X44) = bit0(times_times(int, X43, X44)),
0.41/0.60	    inference('cnf', [status(esa)], [fact_27_mult__Bit0])).
0.41/0.60	tff('30', plain,
0.41/0.60	    ![X8 : int, X9 : int]:
0.41/0.60	      times_times(int, bit1(X8), X9)
0.41/0.60	       = plus_plus(int, times_times(int, bit0(X8), X9), X9),
0.41/0.60	    inference('demod', [status(thm)], ['28', '29'])).
0.41/0.60	tff('31', plain,
0.41/0.60	    ![X0 : int]:
0.41/0.60	      times_times(int, bit1(pls), X0)
0.41/0.60	       = plus_plus(int, times_times(int, pls, X0), X0),
0.41/0.60	    inference('sup+', [status(thm)], ['27', '30'])).
0.41/0.60	tff(fact_26_mult__Pls, axiom, (![W:int]: (times_times(int,pls,W) = pls))).
0.41/0.60	tff('32', plain, ![X42 : int]: times_times(int, pls, X42) = pls,
0.41/0.60	    inference('cnf', [status(esa)], [fact_26_mult__Pls])).
0.41/0.60	tff('33', plain,
0.41/0.60	    ![X0 : int]: times_times(int, bit1(pls), X0) = plus_plus(int, pls, X0),
0.41/0.60	    inference('demod', [status(thm)], ['31', '32'])).
0.41/0.60	tff(fact_55_add__Pls, axiom, (![K1:int]: (plus_plus(int,pls,K1) = K1))).
0.41/0.60	tff('34', plain, ![X92 : int]: plus_plus(int, pls, X92) = X92,
0.41/0.60	    inference('cnf', [status(esa)], [fact_55_add__Pls])).
0.41/0.60	tff('35', plain, ![X0 : int]: times_times(int, bit1(pls), X0) = X0,
0.41/0.60	    inference('sup+', [status(thm)], ['33', '34'])).
0.41/0.60	tff('36', plain,
0.41/0.60	    ![X0 : int]: times_times(int, bit0(bit1(pls)), X0) = bit0(X0),
0.41/0.60	    inference('sup+', [status(thm)], ['35', '29'])).
0.41/0.60	tff(fact_14_add__Bit0__Bit1, axiom,
0.41/0.60	  (![L:int,K1:int]:
0.41/0.60	     (plus_plus(int,bit0(K1),bit1(L)) = bit1(plus_plus(int,K1,L))))).
0.41/0.60	tff('37', plain,
0.41/0.60	    ![X18 : int, X19 : int]:
0.41/0.60	      plus_plus(int, bit0(X18), bit1(X19)) = bit1(plus_plus(int, X18, X19)),
0.41/0.60	    inference('cnf', [status(esa)], [fact_14_add__Bit0__Bit1])).
0.41/0.60	tff('38', plain,
0.41/0.60	    ![X0 : int, X1 : int]:
0.41/0.60	      plus_plus(int, times_times(int, bit0(bit1(pls)), X0), bit1(X1))
0.41/0.60	       = bit1(plus_plus(int, X0, X1)),
0.41/0.60	    inference('sup+', [status(thm)], ['36', '37'])).
0.41/0.60	tff(fact_54_add__Pls__right, axiom,
0.41/0.60	  (![K1:int]: (plus_plus(int,K1,pls) = K1))).
0.41/0.60	tff('39', plain, ![X91 : int]: plus_plus(int, X91, pls) = X91,
0.41/0.60	    inference('cnf', [status(esa)], [fact_54_add__Pls__right])).
0.41/0.60	tff('40', plain,
0.41/0.60	    ![X182 : int]:
0.41/0.60	      (thesis
0.41/0.60	       | ~ zcong(times_times(int, X182, X182), min, 
0.41/0.60	             bit1(times_times(int, bit0(bit1(pls)), m)))),
0.41/0.60	    inference('demod', [status(thm)],
0.41/0.60	              ['9', '7', '5', '20', '5', '24', '26', '38', '39'])).
0.41/0.60	tff(conj_1, conjecture, (thesis)).
0.41/0.60	tff(zf_stmt_0, negated_conjecture, (~thesis)).
0.41/0.60	tff('41', plain, ~ thesis, inference('cnf', [status(esa)], [zf_stmt_0])).
0.41/0.60	tff('42', plain,
0.41/0.60	    ![X182 : int]:
0.41/0.60	      ~ zcong(times_times(int, X182, X182), min, 
0.41/0.60	          bit1(times_times(int, bit0(bit1(pls)), m))),
0.41/0.60	    inference('clc', [status(thm)], ['40', '41'])).
0.41/0.60	tff('43', plain,
0.41/0.60	    (~ $true | ~ quadRes(bit1(times_times(int, bit0(bit1(pls)), m)), min)),
0.41/0.60	    inference('sup-', [status(thm)], ['8', '42'])).
0.41/0.60	tff(fact_0__096QuadRes_A_I4_A_K_Am_A_L_A1_J_A_N1_096, axiom,
0.41/0.60	  (quadRes(plus_plus(int,
0.41/0.60	                     times_times(int,
0.41/0.60	                                 number_number_of(int,bit0(bit0(bit1(pls)))),
0.41/0.60	                                 m),
0.41/0.60	                     one_one(int)),
0.41/0.60	           number_number_of(int,min)))).
0.41/0.60	tff('44', plain,
0.41/0.60	    quadRes(
0.41/0.60	      plus_plus(int, 
0.41/0.60	        times_times(int, number_number_of(int, bit0(bit0(bit1(pls)))), m), 
0.41/0.60	        one_one(int)), number_number_of(int, min)),
0.41/0.60	    inference('cnf', [status(esa)],
0.41/0.60	              [fact_0__096QuadRes_A_I4_A_K_Am_A_L_A1_J_A_N1_096])).
0.41/0.60	tff('45', plain,
0.41/0.60	    quadRes(
0.41/0.60	      plus_plus(int, times_times(int, bit0(bit0(bit1(pls))), m), 
0.41/0.60	        one_one(int)), min),
0.41/0.60	    inference('demod', [status(thm)], ['44', '5', '5'])).
0.41/0.60	tff('46', plain,
0.41/0.60	    quadRes(
0.41/0.60	      plus_plus(int, 
0.41/0.60	        times_times(int, times_times(int, bit0(bit1(pls)), bit0(bit1(pls))), 
0.41/0.60	          m), bit1(pls)), min),
0.41/0.60	    inference('demod', [status(thm)], ['45', '36', '26'])).
0.41/0.60	tff('47', plain, quadRes(bit1(times_times(int, bit0(bit1(pls)), m)), min),
0.41/0.60	    inference('demod', [status(thm)], ['46', '24', '38', '39'])).
0.41/0.60	tff('48', plain, (~ $true | ~ $true),
0.41/0.60	    inference('demod', [status(thm)], ['43', '47'])).
0.41/0.60	tff('49', plain, $false, inference('simplify', [status(thm)], ['48'])).
0.41/0.60	
0.41/0.60	% SZS output end Refutation
0.41/0.60	EOF
