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
0.00/0.19	% Computer   : n140.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 07:49:53 CST 2018
0.76/0.94	% done 908 iterations in 0.741s
0.76/0.94	% SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
0.76/0.94	% SZS output start Refutation
0.76/0.94	tff(fact_85_QuadRes__def, axiom,
0.76/0.94	  (![X1:int,Ma:int]:
0.76/0.94	     (quadRes(Ma,X1) <=>
0.76/0.94	      (?[Y1:int]:
0.76/0.94	         zcong(power_power(int,Y1,number_number_of(nat,bit0(bit1(pls)))),X1,
0.76/0.94	               Ma))))).
0.76/0.94	tff('0', plain,
0.76/0.94	    ![X145 : int, X146 : int]:
0.76/0.94	      (zcong(
0.76/0.94	         power_power(int, sk_Y1(X145, X146), 
0.76/0.94	           number_number_of(nat, bit0(bit1(pls)))), X146, X145)
0.76/0.94	       | ~ quadRes(X145, X146)),
0.76/0.94	    inference('cnf', [status(esa)], [fact_85_QuadRes__def])).
0.76/0.94	tff(conj_0, axiom,
0.76/0.94	  (![S1:int]:
0.76/0.94	     (zcong(power_power(int,S1,number_number_of(nat,bit0(bit1(pls)))),
0.76/0.94	            number_number_of(int,min),
0.76/0.94	            plus_plus(int,
0.76/0.94	                      times_times(int,
0.76/0.94	                                  number_number_of(int,bit0(bit0(bit1(pls)))),
0.76/0.94	                                  m),
0.76/0.94	                      one_one(int))) =>
0.76/0.94	      thesis))).
0.76/0.94	tff('1', plain,
0.76/0.94	    ![X182 : int]:
0.76/0.94	      (thesis
0.76/0.94	       | ~ zcong(
0.76/0.94	             power_power(int, X182, number_number_of(nat, bit0(bit1(pls)))), 
0.76/0.94	             number_number_of(int, min), 
0.76/0.94	             plus_plus(int, 
0.76/0.94	               times_times(int, 
0.76/0.94	                 number_number_of(int, bit0(bit0(bit1(pls)))), m), 
0.76/0.94	               one_one(int)))),
0.76/0.94	    inference('cnf', [status(esa)], [conj_0])).
0.76/0.94	tff(fact_50_number__of__is__id, axiom,
0.76/0.94	  (![K1:int]: (number_number_of(int,K1) = K1))).
0.76/0.94	tff('2', plain, ![X84 : int]: number_number_of(int, X84) = X84,
0.76/0.94	    inference('cnf', [status(esa)], [fact_50_number__of__is__id])).
0.76/0.94	tff(fact_56_Bit0__def, axiom, (![K1:int]: (bit0(K1) = plus_plus(int,K1,K1)))).
0.76/0.94	tff('3', plain, ![X93 : int]: bit0(X93) = plus_plus(int, X93, X93),
0.76/0.94	    inference('cnf', [status(esa)], [fact_56_Bit0__def])).
0.76/0.94	tff(fact_37_right__distrib__number__of, axiom,
0.76/0.94	  (![B2:$tType]:
0.76/0.94	     ((semiring(B2) & number(B2)) =>
0.76/0.94	      (![C:B2,B:B2,V:int]:
0.76/0.94	         (times_times(B2,number_number_of(B2,V),plus_plus(B2,B,C)) =
0.76/0.94	          plus_plus(B2,times_times(B2,number_number_of(B2,V),B),
0.76/0.94	                    times_times(B2,number_number_of(B2,V),C))))))).
0.76/0.94	tff('4', plain,
0.76/0.94	    ![X57 : $tType, X58 : int, X59 : X57, X60 : X57]:
0.76/0.94	      (times_times(X57, number_number_of(X57, X58), plus_plus(X57, X59, X60))
0.76/0.94	        = plus_plus(X57, times_times(X57, number_number_of(X57, X58), X59), 
0.76/0.94	            times_times(X57, number_number_of(X57, X58), X60))
0.76/0.94	       | ~ number(X57)
0.76/0.94	       | ~ semiring(X57)),
0.76/0.94	    inference('cnf', [status(esa)], [fact_37_right__distrib__number__of])).
0.76/0.94	tff('5', plain,
0.76/0.94	    ![X0 : int, X1 : int]:
0.76/0.94	      (times_times(int, number_number_of(int, X1), plus_plus(int, X0, X0))
0.76/0.94	        = bit0(times_times(int, number_number_of(int, X1), X0))
0.76/0.94	       | ~ semiring(int)
0.76/0.94	       | ~ number(int)),
0.76/0.94	    inference('sup+', [status(thm)], ['3', '4'])).
0.76/0.94	tff(fact_27_mult__Bit0, axiom,
0.76/0.94	  (![L:int,K1:int]:
0.76/0.94	     (times_times(int,bit0(K1),L) = bit0(times_times(int,K1,L))))).
0.76/0.94	tff('6', plain,
0.76/0.94	    ![X43 : int, X44 : int]:
0.76/0.94	      times_times(int, bit0(X43), X44) = bit0(times_times(int, X43, X44)),
0.76/0.94	    inference('cnf', [status(esa)], [fact_27_mult__Bit0])).
0.76/0.94	tff(arity_Int_Oint___Rings_Osemiring, axiom, (semiring(int))).
0.76/0.94	tff('7', plain, semiring(int),
0.76/0.94	    inference('cnf', [status(esa)], [arity_Int_Oint___Rings_Osemiring])).
0.76/0.94	tff(arity_Int_Oint___Int_Onumber, axiom, (number(int))).
0.76/0.94	tff('8', plain, number(int),
0.76/0.94	    inference('cnf', [status(esa)], [arity_Int_Oint___Int_Onumber])).
0.76/0.94	tff('9', plain,
0.76/0.94	    ![X0 : int, X1 : int]:
0.76/0.94	      (times_times(int, X1, bit0(X0)) = times_times(int, bit0(X1), X0)
0.76/0.94	       | ~ $true
0.76/0.94	       | ~ $true),
0.76/0.94	    inference('demod', [status(thm)], ['5', '2', '3', '2', '6', '7', '8'])).
0.76/0.94	tff('10', plain,
0.76/0.94	    ![X0 : int, X1 : int]:
0.76/0.94	      times_times(int, X1, bit0(X0)) = times_times(int, bit0(X1), X0),
0.76/0.94	    inference('simplify', [status(thm)], ['9'])).
0.76/0.94	tff(fact_25_Bit0__Pls, axiom, (bit0(pls) = pls)).
0.76/0.94	tff('11', plain, bit0(pls) = pls,
0.76/0.94	    inference('cnf', [status(esa)], [fact_25_Bit0__Pls])).
0.76/0.94	tff(fact_9_mult__Bit1, axiom,
0.76/0.94	  (![L:int,K1:int]:
0.76/0.94	     (times_times(int,bit1(K1),L) =
0.76/0.94	      plus_plus(int,bit0(times_times(int,K1,L)),L)))).
0.76/0.94	tff('12', plain,
0.76/0.94	    ![X8 : int, X9 : int]:
0.76/0.94	      times_times(int, bit1(X8), X9)
0.76/0.94	       = plus_plus(int, bit0(times_times(int, X8, X9)), X9),
0.76/0.94	    inference('cnf', [status(esa)], [fact_9_mult__Bit1])).
0.76/0.94	tff('13', plain,
0.76/0.94	    ![X8 : int, X9 : int]:
0.76/0.94	      times_times(int, bit1(X8), X9)
0.76/0.94	       = plus_plus(int, times_times(int, bit0(X8), X9), X9),
0.76/0.94	    inference('demod', [status(thm)], ['12', '6'])).
0.76/0.94	tff('14', plain,
0.76/0.94	    ![X0 : int]:
0.76/0.94	      times_times(int, bit1(pls), X0)
0.76/0.94	       = plus_plus(int, times_times(int, pls, X0), X0),
0.76/0.94	    inference('sup+', [status(thm)], ['11', '13'])).
0.76/0.94	tff(fact_26_mult__Pls, axiom, (![W:int]: (times_times(int,pls,W) = pls))).
0.76/0.94	tff('15', plain, ![X42 : int]: times_times(int, pls, X42) = pls,
0.76/0.94	    inference('cnf', [status(esa)], [fact_26_mult__Pls])).
0.76/0.94	tff('16', plain,
0.76/0.94	    ![X0 : int]: times_times(int, bit1(pls), X0) = plus_plus(int, pls, X0),
0.76/0.94	    inference('demod', [status(thm)], ['14', '15'])).
0.76/0.94	tff(fact_55_add__Pls, axiom, (![K1:int]: (plus_plus(int,pls,K1) = K1))).
0.76/0.94	tff('17', plain, ![X92 : int]: plus_plus(int, pls, X92) = X92,
0.76/0.94	    inference('cnf', [status(esa)], [fact_55_add__Pls])).
0.76/0.94	tff('18', plain, ![X0 : int]: times_times(int, bit1(pls), X0) = X0,
0.76/0.94	    inference('demod', [status(thm)], ['16', '17'])).
0.76/0.94	tff(fact_72_one__is__num__one, axiom,
0.76/0.94	  (one_one(int) = number_number_of(int,bit1(pls)))).
0.76/0.94	tff('19', plain, one_one(int) = number_number_of(int, bit1(pls)),
0.76/0.94	    inference('cnf', [status(esa)], [fact_72_one__is__num__one])).
0.76/0.94	tff('20', plain, one_one(int) = bit1(pls),
0.76/0.94	    inference('demod', [status(thm)], ['19', '2'])).
0.76/0.94	tff(fact_14_add__Bit0__Bit1, axiom,
0.76/0.94	  (![L:int,K1:int]:
0.76/0.94	     (plus_plus(int,bit0(K1),bit1(L)) = bit1(plus_plus(int,K1,L))))).
0.76/0.94	tff('21', plain,
0.76/0.94	    ![X18 : int, X19 : int]:
0.76/0.94	      plus_plus(int, bit0(X18), bit1(X19)) = bit1(plus_plus(int, X18, X19)),
0.76/0.94	    inference('cnf', [status(esa)], [fact_14_add__Bit0__Bit1])).
0.76/0.94	tff(fact_54_add__Pls__right, axiom,
0.76/0.94	  (![K1:int]: (plus_plus(int,K1,pls) = K1))).
0.76/0.94	tff('22', plain, ![X91 : int]: plus_plus(int, X91, pls) = X91,
0.76/0.94	    inference('cnf', [status(esa)], [fact_54_add__Pls__right])).
0.76/0.94	tff('23', plain,
0.76/0.94	    ![X182 : int]:
0.76/0.94	      (thesis
0.76/0.94	       | ~ zcong(
0.76/0.94	             power_power(int, X182, number_number_of(nat, bit0(bit1(pls)))), 
0.76/0.94	             min, bit1(bit0(m)))),
0.76/0.94	    inference('demod', [status(thm)],
0.76/0.94	              ['1', '2', '2', '10', '10', '18', '20', '21', '22'])).
0.76/0.94	tff(conj_1, conjecture, (thesis)).
0.76/0.94	tff(zf_stmt_0, negated_conjecture, (~thesis)).
0.76/0.94	tff('24', plain, ~ thesis, inference('cnf', [status(esa)], [zf_stmt_0])).
0.76/0.94	tff('25', plain,
0.76/0.94	    ![X182 : int]:
0.76/0.94	      ~ zcong(
0.76/0.94	          power_power(int, X182, number_number_of(nat, bit0(bit1(pls)))), 
0.76/0.94	          min, bit1(bit0(m))),
0.76/0.94	    inference('clc', [status(thm)], ['23', '24'])).
0.76/0.94	tff('26', plain, (~ $true | ~ quadRes(bit1(bit0(m)), min)),
0.76/0.94	    inference('sup-', [status(thm)], ['0', '25'])).
0.76/0.94	tff(fact_0__096QuadRes_A_I4_A_K_Am_A_L_A1_J_A_N1_096, axiom,
0.76/0.94	  (quadRes(plus_plus(int,
0.76/0.94	                     times_times(int,
0.76/0.94	                                 number_number_of(int,bit0(bit0(bit1(pls)))),
0.76/0.94	                                 m),
0.76/0.94	                     one_one(int)),
0.76/0.94	           number_number_of(int,min)))).
0.76/0.94	tff('27', plain,
0.76/0.94	    quadRes(
0.76/0.94	      plus_plus(int, 
0.76/0.94	        times_times(int, number_number_of(int, bit0(bit0(bit1(pls)))), m), 
0.76/0.94	        one_one(int)), number_number_of(int, min)),
0.76/0.94	    inference('cnf', [status(esa)],
0.76/0.94	              [fact_0__096QuadRes_A_I4_A_K_Am_A_L_A1_J_A_N1_096])).
0.76/0.94	tff('28', plain,
0.76/0.94	    quadRes(
0.76/0.94	      plus_plus(int, times_times(int, bit0(bit0(bit1(pls))), m), 
0.76/0.94	        one_one(int)), min),
0.76/0.94	    inference('demod', [status(thm)], ['27', '2', '2'])).
0.76/0.94	tff('29', plain,
0.76/0.94	    ![X0 : int]: times_times(int, bit0(bit1(pls)), X0) = bit0(X0),
0.76/0.94	    inference('sup+', [status(thm)], ['18', '6'])).
0.76/0.94	tff('30', plain,
0.76/0.94	    ![X0 : int]: times_times(int, bit0(bit0(bit1(pls))), X0) = bit0(bit0(X0)),
0.76/0.94	    inference('sup+', [status(thm)], ['29', '6'])).
0.76/0.94	tff('31', plain, quadRes(bit1(bit0(m)), min),
0.76/0.94	    inference('demod', [status(thm)], ['28', '30', '20', '21', '22'])).
0.76/0.94	tff('32', plain, (~ $true | ~ $true),
0.76/0.94	    inference('demod', [status(thm)], ['26', '31'])).
0.76/0.94	tff('33', plain, $false, inference('simplify', [status(thm)], ['32'])).
0.76/0.94	
0.76/0.94	% SZS output end Refutation
0.76/0.94	EOF
