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_ext
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 $2  \
0.00/0.00	  --simultaneous-sup false \
0.00/0.00	  --ho-purify ext \
0.00/0.00	  --ho-ext-axiom \
0.00/0.00	  --restrict-hidden-sup-at-vars \
0.00/0.00	  --ho-prim-enum none \
0.00/0.00	  --no-max-vars \
0.00/0.00	  --dont-select-ho-var-lits \
0.00/0.00	  --no-fool
0.00/0.19	% Computer   : n093.star.cs.uiowa.edu
0.00/0.19	% Model      : x86_64 x86_64
0.00/0.19	% CPU        : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
0.00/0.19	% Memory     : 32218.625MB
0.00/0.19	% OS         : Linux 3.10.0-693.2.2.el7.x86_64
0.00/0.19	% CPULimit   : 300
0.00/0.19	% DateTime   : Fri Feb  2 08:01:39 CST 2018
69.19/69.46	% done 28641 iterations in 69.263s
69.19/69.46	% SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
69.19/69.46	% SZS output start Refutation
69.19/69.46	tff(arity_Int_Oint___Int_Onumber__ring, axiom, (number_ring(int))).
69.19/69.46	tff('0', plain, number_ring(int),
69.19/69.46	    inference('cnf', [status(esa)], [arity_Int_Oint___Int_Onumber__ring])).
69.19/69.46	tff(fact_87_add__numeral__0, axiom,
69.19/69.46	  (![A:$tType]:
69.19/69.46	     (number_ring(A) =>
69.19/69.46	      (![A1:A]: (plus_plus(A,number_number_of(A,pls),A1) = A1))))).
69.19/69.46	tff('1', plain,
69.19/69.46	    ![X184 : $tType, X185 : X184]:
69.19/69.46	      (plus_plus(X184, number_number_of(X184, pls), X185) = X185
69.19/69.46	       | ~ number_ring(X184)),
69.19/69.46	    inference('cnf', [status(esa)], [fact_87_add__numeral__0])).
69.19/69.46	tff('2', plain,
69.19/69.46	    ![X0 : int]:
69.19/69.46	      (~ $true | plus_plus(int, number_number_of(int, pls), X0) = X0),
69.19/69.46	    inference('sup-', [status(thm)], ['0', '1'])).
69.19/69.46	tff('3', plain,
69.19/69.46	    ![X0 : int]: plus_plus(int, number_number_of(int, pls), X0) = X0,
69.19/69.46	    inference('simplify', [status(thm)], ['2'])).
69.19/69.46	tff(fact_74_add__Pls__right, axiom, (![K:int]: (plus_plus(int,K,pls) = K))).
69.19/69.46	tff('4', plain, ![X157 : int]: plus_plus(int, X157, pls) = X157,
69.19/69.46	    inference('cnf', [status(esa)], [fact_74_add__Pls__right])).
69.19/69.46	tff('5', plain, pls = number_number_of(int, pls),
69.19/69.46	    inference('sup+', [status(thm)], ['3', '4'])).
69.19/69.46	tff(fact_67_less__number__of__int__code, axiom,
69.19/69.46	  (![L:int,K3:int]:
69.19/69.46	     (ord_less(int,number_number_of(int,K3),number_number_of(int,L)) <=>
69.19/69.46	      ord_less(int,K3,L)))).
69.19/69.46	tff('6', plain,
69.19/69.46	    ![X143 : int, X144 : int]:
69.19/69.46	      (ord_less(int, number_number_of(int, X144), 
69.19/69.46	         number_number_of(int, X143))
69.19/69.46	       | ~ ord_less(int, X144, X143)),
69.19/69.46	    inference('cnf', [status(esa)], [fact_67_less__number__of__int__code])).
69.19/69.46	tff('7', plain,
69.19/69.46	    ![X0 : int]:
69.19/69.46	      (ord_less(int, number_number_of(int, X0), pls)
69.19/69.46	       | ~ ord_less(int, X0, pls)),
69.19/69.46	    inference('sup+', [status(thm)], ['5', '6'])).
69.19/69.46	tff(fact_1__0960_A_060_061_As_A_094_A2_096, axiom,
69.19/69.46	  (ord_less_eq(int,zero_zero(int),
69.19/69.46	               power_power(int,s,number_number_of(nat,bit0(bit1(pls))))))).
69.19/69.46	tff('8', plain,
69.19/69.46	    ord_less_eq(int, zero_zero(int), 
69.19/69.46	      power_power(int, s, number_number_of(nat, bit0(bit1(pls))))),
69.19/69.46	    inference('cnf', [status(esa)], [fact_1__0960_A_060_061_As_A_094_A2_096])).
69.19/69.46	tff(fact_72_zero__is__num__zero, axiom,
69.19/69.46	  (zero_zero(int) = number_number_of(int,pls))).
69.19/69.46	tff('9', plain, zero_zero(int) = number_number_of(int, pls),
69.19/69.46	    inference('cnf', [status(esa)], [fact_72_zero__is__num__zero])).
69.19/69.46	tff('10', plain,
69.19/69.46	    ord_less_eq(int, number_number_of(int, pls), 
69.19/69.46	      power_power(int, s, number_number_of(nat, bit0(bit1(pls))))),
69.19/69.46	    inference('demod', [status(thm)], ['8', '9'])).
69.19/69.46	tff('11', plain,
69.19/69.46	    ord_less_eq(int, pls, 
69.19/69.46	      power_power(int, s, number_number_of(nat, bit0(bit1(pls))))),
69.19/69.46	    inference('demod', [status(thm)], ['10', '5'])).
69.19/69.46	tff(fact_68_less__eq__number__of__int__code, axiom,
69.19/69.46	  (![L:int,K3:int]:
69.19/69.46	     (ord_less_eq(int,number_number_of(int,K3),number_number_of(int,L)) <=>
69.19/69.46	      ord_less_eq(int,K3,L)))).
69.19/69.46	tff('12', plain,
69.19/69.46	    ![X146 : int, X147 : int]:
69.19/69.46	      (ord_less_eq(int, number_number_of(int, X147), 
69.19/69.46	         number_number_of(int, X146))
69.19/69.46	       | ~ ord_less_eq(int, X147, X146)),
69.19/69.46	    inference('cnf', [status(esa)], [fact_68_less__eq__number__of__int__code])).
69.19/69.46	tff(fact_86_le__number__of__eq__not__less, axiom,
69.19/69.46	  (![A:$tType]:
69.19/69.46	     ((linorder(A) & number(A)) =>
69.19/69.46	      (![W:int,V2:int]:
69.19/69.46	         (ord_less_eq(A,number_number_of(A,V2),number_number_of(A,W)) <=>
69.19/69.46	          (~ord_less(A,number_number_of(A,W),number_number_of(A,V2)))))))).
69.19/69.46	tff('13', plain,
69.19/69.46	    ![X180 : $tType, X181 : int, X183 : int]:
69.19/69.46	      (~ ord_less_eq(X180, number_number_of(X180, X183), 
69.19/69.46	           number_number_of(X180, X181))
69.19/69.46	       | ~ ord_less(X180, number_number_of(X180, X181), 
69.19/69.46	             number_number_of(X180, X183))
69.19/69.46	       | ~ number(X180)
69.19/69.46	       | ~ linorder(X180)),
69.19/69.46	    inference('cnf', [status(esa)], [fact_86_le__number__of__eq__not__less])).
69.19/69.46	tff('14', plain,
69.19/69.46	    ![X0 : int, X1 : int]:
69.19/69.46	      (~ $true
69.19/69.46	       | ~ ord_less_eq(int, X1, X0)
69.19/69.46	       | ~ linorder(int)
69.19/69.46	       | ~ number(int)
69.19/69.46	       | ~ ord_less(int, number_number_of(int, X0), 
69.19/69.46	             number_number_of(int, X1))),
69.19/69.46	    inference('sup-', [status(thm)], ['12', '13'])).
69.19/69.46	tff(arity_Int_Oint___Orderings_Olinorder, axiom, (linorder(int))).
69.19/69.46	tff('15', plain, linorder(int),
69.19/69.46	    inference('cnf', [status(esa)], [arity_Int_Oint___Orderings_Olinorder])).
69.19/69.46	tff(arity_Int_Oint___Int_Onumber, axiom, (number(int))).
69.19/69.46	tff('16', plain, number(int),
69.19/69.46	    inference('cnf', [status(esa)], [arity_Int_Oint___Int_Onumber])).
69.19/69.46	tff('17', plain,
69.19/69.46	    ![X0 : int, X1 : int]:
69.19/69.46	      (~ $true
69.19/69.46	       | ~ ord_less_eq(int, X1, X0)
69.19/69.46	       | ~ $true
69.19/69.46	       | ~ $true
69.19/69.46	       | ~ ord_less(int, number_number_of(int, X0), 
69.19/69.46	             number_number_of(int, X1))),
69.19/69.46	    inference('demod', [status(thm)], ['14', '15', '16'])).
69.19/69.46	tff('18', plain,
69.19/69.46	    ![X0 : int, X1 : int]:
69.19/69.46	      (~ ord_less(int, number_number_of(int, X0), number_number_of(int, X1))
69.19/69.46	       | ~ ord_less_eq(int, X1, X0)),
69.19/69.46	    inference('simplify', [status(thm)], ['17'])).
69.19/69.46	tff('19', plain,
69.19/69.46	    (~ $true
69.19/69.46	     | ~ ord_less(int, 
69.19/69.46	           number_number_of(int, 
69.19/69.46	             power_power(int, s, number_number_of(nat, bit0(bit1(pls))))), 
69.19/69.46	           number_number_of(int, pls))),
69.19/69.46	    inference('sup-', [status(thm)], ['11', '18'])).
69.19/69.46	tff('20', plain,
69.19/69.46	    (~ $true
69.19/69.46	     | ~ ord_less(int, 
69.19/69.46	           number_number_of(int, 
69.19/69.46	             power_power(int, s, number_number_of(nat, bit0(bit1(pls))))), 
69.19/69.46	           pls)),
69.19/69.46	    inference('demod', [status(thm)], ['19', '5'])).
69.19/69.46	tff('21', plain,
69.19/69.46	    ~ ord_less(int, 
69.19/69.46	        number_number_of(int, 
69.19/69.46	          power_power(int, s, number_number_of(nat, bit0(bit1(pls))))), pls),
69.19/69.46	    inference('simplify', [status(thm)], ['20'])).
69.19/69.46	tff('22', plain,
69.19/69.46	    (~ $true
69.19/69.46	     | ~ ord_less(int, 
69.19/69.46	           power_power(int, s, number_number_of(nat, bit0(bit1(pls)))), pls)),
69.19/69.46	    inference('sup-', [status(thm)], ['7', '21'])).
69.19/69.46	tff(fact_4__096t_A_060_A0_A_061_061_062_As_A_094_A2_A_L_A1_A_060_A0_096, axiom,
69.19/69.46	  (ord_less(int,t,zero_zero(int)) =>
69.19/69.46	   ord_less(int,
69.19/69.46	            plus_plus(int,
69.19/69.46	                      power_power(int,s,number_number_of(nat,bit0(bit1(pls)))),
69.19/69.46	                      one_one(int)),
69.19/69.46	            zero_zero(int)))).
69.19/69.46	tff('23', plain,
69.19/69.46	    (ord_less(int, 
69.19/69.46	       plus_plus(int, 
69.19/69.46	         power_power(int, s, number_number_of(nat, bit0(bit1(pls)))), 
69.19/69.46	         one_one(int)), zero_zero(int))
69.19/69.46	     | ~ ord_less(int, t, zero_zero(int))),
69.19/69.46	    inference('cnf', [status(esa)],
69.19/69.46	              [fact_4__096t_A_060_A0_A_061_061_062_As_A_094_A2_A_L_A1_A_060_A0_096])).
69.19/69.46	tff('24', plain,
69.19/69.46	    (ord_less(int, 
69.19/69.46	       plus_plus(int, 
69.19/69.46	         power_power(int, s, number_number_of(nat, bit0(bit1(pls)))), 
69.19/69.46	         one_one(int)), number_number_of(int, pls))
69.19/69.46	     | ~ ord_less(int, t, number_number_of(int, pls))),
69.19/69.46	    inference('demod', [status(thm)], ['23', '9', '9'])).
69.19/69.46	tff(fact_80_one__is__num__one, axiom,
69.19/69.46	  (one_one(int) = number_number_of(int,bit1(pls)))).
69.19/69.46	tff('25', plain, one_one(int) = number_number_of(int, bit1(pls)),
69.19/69.46	    inference('cnf', [status(esa)], [fact_80_one__is__num__one])).
69.19/69.46	tff('26', plain,
69.19/69.46	    (ord_less(int, 
69.19/69.46	       plus_plus(int, 
69.19/69.46	         power_power(int, s, number_number_of(nat, bit0(bit1(pls)))), 
69.19/69.46	         number_number_of(int, bit1(pls))), number_number_of(int, pls))
69.19/69.46	     | ~ ord_less(int, t, number_number_of(int, pls))),
69.19/69.46	    inference('demod', [status(thm)], ['24', '25'])).
69.19/69.46	tff(fact_93_Bit1__def, axiom,
69.19/69.46	  (![K:int]: (bit1(K) = plus_plus(int,plus_plus(int,one_one(int),K),K)))).
69.19/69.46	tff('27', plain,
69.19/69.46	    ![X195 : int]:
69.19/69.46	      bit1(X195) = plus_plus(int, plus_plus(int, one_one(int), X195), X195),
69.19/69.46	    inference('cnf', [status(esa)], [fact_93_Bit1__def])).
69.19/69.46	tff('28', plain,
69.19/69.46	    ![X195 : int]:
69.19/69.46	      bit1(X195)
69.19/69.46	       = plus_plus(int, 
69.19/69.46	           plus_plus(int, number_number_of(int, bit1(pls)), X195), X195),
69.19/69.46	    inference('demod', [status(thm)], ['27', '25'])).
69.19/69.46	tff('29', plain,
69.19/69.46	    bit1(pls) = plus_plus(int, number_number_of(int, bit1(pls)), pls),
69.19/69.46	    inference('sup+', [status(thm)], ['4', '28'])).
69.19/69.46	tff('30', plain, bit1(pls) = number_number_of(int, bit1(pls)),
69.19/69.46	    inference('demod', [status(thm)], ['29', '4'])).
69.19/69.46	tff('31', plain,
69.19/69.46	    (ord_less(int, 
69.19/69.46	       plus_plus(int, 
69.19/69.46	         power_power(int, s, number_number_of(nat, bit0(bit1(pls)))), 
69.19/69.46	         bit1(pls)), pls)
69.19/69.46	     | ~ ord_less(int, t, pls)),
69.19/69.46	    inference('demod', [status(thm)], ['26', '30', '5', '5'])).
69.19/69.46	tff(fact_79_less__int__def, axiom,
69.19/69.46	  (![W:int,Z1:int]:
69.19/69.46	     (ord_less(int,Z1,W) <=> ((Z1 != W) & ord_less_eq(int,Z1,W))))).
69.19/69.46	tff('32', plain,
69.19/69.46	    ![X166 : int, X167 : int]:
69.19/69.46	      (ord_less_eq(int, X167, X166) | ~ ord_less(int, X167, X166)),
69.19/69.46	    inference('cnf', [status(esa)], [fact_79_less__int__def])).
69.19/69.46	tff(fact_84_add1__zle__eq, axiom,
69.19/69.46	  (![Z1:int,W:int]:
69.19/69.46	     (ord_less_eq(int,plus_plus(int,W,one_one(int)),Z1) <=>
69.19/69.46	      ord_less(int,W,Z1)))).
69.19/69.46	tff('33', plain,
69.19/69.46	    ![X173 : int, X174 : int]:
69.19/69.46	      (ord_less(int, X173, X174)
69.19/69.46	       | ~ ord_less_eq(int, plus_plus(int, X173, one_one(int)), X174)),
69.19/69.46	    inference('cnf', [status(esa)], [fact_84_add1__zle__eq])).
69.19/69.46	tff('34', plain, one_one(int) = bit1(pls),
69.19/69.46	    inference('demod', [status(thm)], ['25', '30'])).
69.19/69.46	tff('35', plain,
69.19/69.46	    ![X173 : int, X174 : int]:
69.19/69.46	      (ord_less(int, X173, X174)
69.19/69.46	       | ~ ord_less_eq(int, plus_plus(int, X173, bit1(pls)), X174)),
69.19/69.46	    inference('demod', [status(thm)], ['33', '34'])).
69.19/69.46	tff('36', plain,
69.19/69.46	    ![X0 : int, X1 : int]:
69.19/69.46	      (~ $true
69.19/69.46	       | ~ ord_less(int, plus_plus(int, X1, bit1(pls)), X0)
69.19/69.46	       | ord_less(int, X1, X0)),
69.19/69.46	    inference('sup-', [status(thm)], ['32', '35'])).
69.19/69.46	tff('37', plain,
69.19/69.46	    ![X0 : int, X1 : int]:
69.19/69.46	      (ord_less(int, X1, X0)
69.19/69.46	       | ~ ord_less(int, plus_plus(int, X1, bit1(pls)), X0)),
69.19/69.46	    inference('simplify', [status(thm)], ['36'])).
69.19/69.46	tff('38', plain,
69.19/69.46	    (~ $true
69.19/69.46	     | ~ ord_less(int, t, pls)
69.19/69.46	     | ord_less(int, 
69.19/69.46	         power_power(int, s, number_number_of(nat, bit0(bit1(pls)))), pls)),
69.19/69.46	    inference('sup-', [status(thm)], ['31', '37'])).
69.19/69.46	tff(fact_2__096t_A_060_A1_096, axiom, (ord_less(int,t,one_one(int)))).
69.19/69.46	tff('39', plain, ord_less(int, t, one_one(int)),
69.19/69.46	    inference('cnf', [status(esa)], [fact_2__096t_A_060_A1_096])).
69.19/69.46	tff('40', plain, ord_less(int, t, number_number_of(int, bit1(pls))),
69.19/69.46	    inference('demod', [status(thm)], ['39', '25'])).
69.19/69.46	tff('41', plain, ord_less(int, t, bit1(pls)),
69.19/69.46	    inference('demod', [status(thm)], ['40', '30'])).
69.19/69.46	tff(fact_75_add__Pls, axiom, (![K:int]: (plus_plus(int,pls,K) = K))).
69.19/69.46	tff('42', plain, ![X158 : int]: plus_plus(int, pls, X158) = X158,
69.19/69.46	    inference('cnf', [status(esa)], [fact_75_add__Pls])).
69.19/69.46	tff(fact_57_zle__add1__eq__le, axiom,
69.19/69.46	  (![Z1:int,W:int]:
69.19/69.46	     (ord_less(int,W,plus_plus(int,Z1,one_one(int))) <=>
69.19/69.46	      ord_less_eq(int,W,Z1)))).
69.19/69.46	tff('43', plain,
69.19/69.46	    ![X117 : int, X118 : int]:
69.19/69.46	      (ord_less_eq(int, X117, X118)
69.19/69.46	       | ~ ord_less(int, X117, plus_plus(int, X118, one_one(int)))),
69.19/69.46	    inference('cnf', [status(esa)], [fact_57_zle__add1__eq__le])).
69.19/69.46	tff('44', plain,
69.19/69.46	    ![X117 : int, X118 : int]:
69.19/69.46	      (ord_less_eq(int, X117, X118)
69.19/69.46	       | ~ ord_less(int, X117, plus_plus(int, X118, bit1(pls)))),
69.19/69.46	    inference('demod', [status(thm)], ['43', '34'])).
69.19/69.46	tff('45', plain,
69.19/69.46	    ![X0 : int]: (~ ord_less(int, X0, bit1(pls)) | ord_less_eq(int, X0, pls)),
69.19/69.46	    inference('sup-', [status(thm)], ['42', '44'])).
69.19/69.46	tff('46', plain, (~ $true | ord_less_eq(int, t, pls)),
69.19/69.46	    inference('sup-', [status(thm)], ['41', '45'])).
69.19/69.46	tff('47', plain, ord_less_eq(int, t, pls),
69.19/69.46	    inference('simplify', [status(thm)], ['46'])).
69.19/69.46	tff('48', plain,
69.19/69.46	    ![X166 : int, X168 : int]:
69.19/69.46	      (ord_less(int, X168, X166)
69.19/69.46	       | ~ ord_less_eq(int, X168, X166)
69.19/69.46	       | X168 = X166),
69.19/69.46	    inference('cnf', [status(esa)], [fact_79_less__int__def])).
69.19/69.46	tff('49', plain, (~ $true | t = pls | ord_less(int, t, pls)),
69.19/69.46	    inference('sup-', [status(thm)], ['47', '48'])).
69.19/69.46	tff('50', plain, (ord_less(int, t, pls) | t = pls),
69.19/69.46	    inference('simplify', [status(thm)], ['49'])).
69.19/69.46	tff(fact_3__096t_A_061_A0_A_061_061_062_As_A_094_A2_A_L_A1_A_061_A0_096, axiom,
69.19/69.46	  ((t = zero_zero(int)) =>
69.19/69.46	   (plus_plus(int,power_power(int,s,number_number_of(nat,bit0(bit1(pls)))),
69.19/69.46	              one_one(int)) =
69.19/69.46	    zero_zero(int)))).
69.19/69.46	tff('51', plain,
69.19/69.46	    (plus_plus(int, 
69.19/69.46	       power_power(int, s, number_number_of(nat, bit0(bit1(pls)))), 
69.19/69.46	       one_one(int))
69.19/69.46	      = zero_zero(int)
69.19/69.46	     | t != zero_zero(int)),
69.19/69.46	    inference('cnf', [status(esa)],
69.19/69.46	              [fact_3__096t_A_061_A0_A_061_061_062_As_A_094_A2_A_L_A1_A_061_A0_096])).
69.19/69.47	tff('52', plain,
69.19/69.47	    (plus_plus(int, 
69.19/69.47	       power_power(int, s, number_number_of(nat, bit0(bit1(pls)))), 
69.19/69.47	       one_one(int))
69.19/69.47	      = number_number_of(int, pls)
69.19/69.47	     | t != number_number_of(int, pls)),
69.19/69.47	    inference('demod', [status(thm)], ['51', '9', '9'])).
69.19/69.47	tff('53', plain,
69.19/69.47	    (plus_plus(int, 
69.19/69.47	       power_power(int, s, number_number_of(nat, bit0(bit1(pls)))), 
69.19/69.47	       bit1(pls))
69.19/69.47	      = pls
69.19/69.47	     | t != pls),
69.19/69.47	    inference('demod', [status(thm)], ['52', '34', '5', '5'])).
69.19/69.47	tff('54', plain,
69.19/69.47	    ![X118 : int, X119 : int]:
69.19/69.47	      (ord_less(int, X119, plus_plus(int, X118, one_one(int)))
69.19/69.47	       | ~ ord_less_eq(int, X119, X118)),
69.19/69.47	    inference('cnf', [status(esa)], [fact_57_zle__add1__eq__le])).
69.19/69.47	tff('55', plain,
69.19/69.47	    ![X118 : int, X119 : int]:
69.19/69.47	      (ord_less(int, X119, plus_plus(int, X118, bit1(pls)))
69.19/69.47	       | ~ ord_less_eq(int, X119, X118)),
69.19/69.47	    inference('demod', [status(thm)], ['54', '34'])).
69.19/69.47	tff('56', plain,
69.19/69.47	    (~ $true
69.19/69.47	     | ord_less(int, pls, 
69.19/69.47	         plus_plus(int, 
69.19/69.47	           power_power(int, s, number_number_of(nat, bit0(bit1(pls)))), 
69.19/69.47	           bit1(pls)))),
69.19/69.47	    inference('sup-', [status(thm)], ['11', '55'])).
69.19/69.47	tff('57', plain,
69.19/69.47	    ord_less(int, pls, 
69.19/69.47	      plus_plus(int, 
69.19/69.47	        power_power(int, s, number_number_of(nat, bit0(bit1(pls)))), 
69.19/69.47	        bit1(pls))),
69.19/69.47	    inference('simplify', [status(thm)], ['56'])).
69.19/69.47	tff('58', plain, (ord_less(int, pls, pls) | t != pls),
69.19/69.47	    inference('sup+', [status(thm)], ['53', '57'])).
69.19/69.47	tff('59', plain,
69.19/69.47	    ![X166 : int, X167 : int]: (X167 != X166 | ~ ord_less(int, X167, X166)),
69.19/69.47	    inference('cnf', [status(esa)], [fact_79_less__int__def])).
69.19/69.47	tff('60', plain, ![X166 : int]: ~ ord_less(int, X166, X166),
69.19/69.47	    inference('simplify', [status(thm)], ['59'])).
69.19/69.47	tff('61', plain, t != pls, inference('clc', [status(thm)], ['58', '60'])).
69.19/69.47	tff('62', plain, ord_less(int, t, pls),
69.19/69.47	    inference('simplify_reflect-', [status(thm)], ['50', '61'])).
69.19/69.47	tff('63', plain,
69.19/69.47	    (~ $true
69.19/69.47	     | ~ $true
69.19/69.47	     | ord_less(int, 
69.19/69.47	         power_power(int, s, number_number_of(nat, bit0(bit1(pls)))), pls)),
69.19/69.47	    inference('demod', [status(thm)], ['38', '62'])).
69.19/69.47	tff('64', plain,
69.19/69.47	    ord_less(int, 
69.19/69.47	      power_power(int, s, number_number_of(nat, bit0(bit1(pls)))), pls),
69.19/69.47	    inference('simplify', [status(thm)], ['63'])).
69.19/69.47	tff('65', plain, (~ $true | ~ $true),
69.19/69.47	    inference('demod', [status(thm)], ['22', '64'])).
69.19/69.47	tff('66', plain, $false, inference('simplify', [status(thm)], ['65'])).
69.19/69.47	
69.19/69.47	% SZS output end Refutation
69.19/69.47	EOF
