0.03/0.13	% Problem    : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.13/0.25	% Command    : run_portfolio.sh /export/starexec/sandbox2/benchmark/theBenchmark.p /export/starexec/sandbox2/tmp/tmp.RzUwCXTGkk
0.26/0.46	% Computer   : n006.cluster.edu
0.26/0.46	% Model      : x86_64 x86_64
0.26/0.46	% CPU        : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.26/0.46	% Memory     : 8042.1875MB
0.26/0.46	% OS         : Linux 3.10.0-693.el7.x86_64
0.26/0.46	% CPULimit   : 960
0.26/0.46	% DateTime   : Thu Jul  2 07:32:16 EDT 2020
0.26/0.46	% CPUTime    : 
0.26/0.46	% Running portfolio for 120 s
0.26/0.46	% File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
0.26/0.47	% Number of cores: 8
0.26/0.47	% Python version: Python 3.6.8
0.26/0.47	% Running in FO mode
42.78/43.17	% Running /export/starexec/sandbox2/solver/bin/fo/fo7.sh for 25
42.78/43.17	% Warning:
42.78/43.17	% To remain in the chosen logic fragment, unification with booleans has been disabled.
42.78/43.17	% 
42.78/43.17	% Running /export/starexec/sandbox2/solver/bin/fo/fo8.sh for 20
42.78/43.17	% Solved by: fo/fo8.sh
42.78/43.17	To remain in the chosen logic fragment, unification with booleans has been disabled.
42.78/43.17	% done 7596 iterations in 17.577s
42.78/43.17	% SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
42.78/43.17	% SZS output start Refutation
42.78/43.17	tff(conj_0, conjecture,
42.78/43.17	  (hAPP(nat,int,
42.78/43.17	        power_power(int,
42.78/43.17	                    plus_plus(int,one_one(int),
42.78/43.17	                              hAPP(nat,int,semiring_1_of_nat(int),n))),
42.78/43.17	        number_number_of(nat,bit0(bit1(pls)))) !=
42.78/43.17	   zero_zero(int))).
42.78/43.17	tff(zf_stmt_0, negated_conjecture,
42.78/43.17	  (hAPP(nat,int,
42.78/43.17	        power_power(int,
42.78/43.17	                    plus_plus(int,one_one(int),
42.78/43.17	                              hAPP(nat,int,semiring_1_of_nat(int),n))),
42.78/43.17	        number_number_of(nat,bit0(bit1(pls)))) =
42.78/43.17	   zero_zero(int))).
42.78/43.17	tff('0', plain,
42.78/43.17	    hAPP(nat, int, 
42.78/43.17	      power_power(int, 
42.78/43.17	        plus_plus(int, one_one(int), 
42.78/43.17	          hAPP(nat, int, semiring_1_of_nat(int), n))), 
42.78/43.17	      number_number_of(nat, bit0(bit1(pls))))
42.78/43.17	     = zero_zero(int),
42.78/43.17	    inference('cnf', [status(esa)], [zf_stmt_0])).
42.78/43.17	tff(fact_37_one__is__num__one, axiom,
42.78/43.17	  (one_one(int) = number_number_of(int,bit1(pls)))).
42.78/43.17	tff('1', plain, one_one(int) = number_number_of(int, bit1(pls)),
42.78/43.17	    inference('cnf', [status(esa)], [fact_37_one__is__num__one])).
42.78/43.17	tff(fact_120_number__of__is__id, axiom,
42.78/43.17	  (![K_1]: (ti(int,K_1) = number_number_of(int,K_1)))).
42.78/43.17	tff('2', plain, ![X735]: ti(int, X735) = number_number_of(int, X735),
42.78/43.17	    inference('cnf', [status(esa)], [fact_120_number__of__is__id])).
42.78/43.17	tff('3', plain, one_one(int) = ti(int, bit1(pls)),
42.78/43.17	    inference('demod', [status(thm)], ['1', '2'])).
42.78/43.17	tff(tsy_c_Int_OBit1_res, axiom,
42.78/43.17	  (![B_1_1]: (bit1(B_1_1) = ti(int,bit1(B_1_1))))).
42.78/43.17	tff('4', plain, ![X1206]: bit1(X1206) = ti(int, bit1(X1206)),
42.78/43.17	    inference('cnf', [status(esa)], [tsy_c_Int_OBit1_res])).
42.78/43.17	tff('5', plain, one_one(int) = bit1(pls),
42.78/43.17	    inference('demod', [status(thm)], ['3', '4'])).
42.78/43.17	tff(fact_426_nat__number__of, axiom,
42.78/43.17	  (![W]: (number_number_of(nat,W) = nat_1(number_number_of(int,W))))).
42.78/43.17	tff('6', plain,
42.78/43.17	    ![X577]: number_number_of(nat, X577) = nat_1(number_number_of(int, X577)),
42.78/43.17	    inference('cnf', [status(esa)], [fact_426_nat__number__of])).
42.78/43.17	tff('7', plain, ![X735]: ti(int, X735) = number_number_of(int, X735),
42.78/43.17	    inference('cnf', [status(esa)], [fact_120_number__of__is__id])).
42.78/43.17	tff('8', plain, ![X577]: number_number_of(nat, X577) = nat_1(ti(int, X577)),
42.78/43.17	    inference('demod', [status(thm)], ['6', '7'])).
42.78/43.17	tff(tsy_c_Int_Onat_arg1, axiom,
42.78/43.17	  (![B_1_1]: (nat_1(ti(int,B_1_1)) = nat_1(B_1_1)))).
42.78/43.17	tff('9', plain, ![X1261]: nat_1(ti(int, X1261)) = nat_1(X1261),
42.78/43.17	    inference('cnf', [status(esa)], [tsy_c_Int_Onat_arg1])).
42.78/43.17	tff('10', plain, ![X0]: number_number_of(nat, X0) = nat_1(X0),
42.78/43.17	    inference('sup+', [status(thm)], ['8', '9'])).
42.78/43.17	tff(fact_73_Pls__def, axiom, (zero_zero(int) = pls)).
42.78/43.17	tff('11', plain, zero_zero(int) = pls,
42.78/43.17	    inference('cnf', [status(esa)], [fact_73_Pls__def])).
42.78/43.17	tff('12', plain,
42.78/43.17	    hAPP(nat, int, 
42.78/43.17	      power_power(int, 
42.78/43.17	        plus_plus(int, bit1(pls), hAPP(nat, int, semiring_1_of_nat(int), n))), 
42.78/43.17	      nat_1(bit0(bit1(pls))))
42.78/43.17	     = pls,
42.78/43.17	    inference('demod', [status(thm)], ['0', '5', '10', '11'])).
42.78/43.17	tff(fact_29_nat__1__add__1, axiom,
42.78/43.17	  (plus_plus(nat,one_one(nat),one_one(nat)) =
42.78/43.17	   number_number_of(nat,bit0(bit1(pls))))).
42.78/43.17	tff('13', plain,
42.78/43.17	    plus_plus(nat, one_one(nat), one_one(nat))
42.78/43.17	     = number_number_of(nat, bit0(bit1(pls))),
42.78/43.17	    inference('cnf', [status(esa)], [fact_29_nat__1__add__1])).
42.78/43.17	tff(fact_430_transfer__nat__int__numerals_I2_J, axiom,
42.78/43.17	  (nat_1(one_one(int)) = one_one(nat))).
42.78/43.17	tff('14', plain, nat_1(one_one(int)) = one_one(nat),
42.78/43.17	    inference('cnf', [status(esa)],
42.78/43.17	              [fact_430_transfer__nat__int__numerals_I2_J])).
42.78/43.17	tff('15', plain, one_one(int) = bit1(pls),
42.78/43.17	    inference('demod', [status(thm)], ['3', '4'])).
42.78/43.17	tff('16', plain, nat_1(bit1(pls)) = one_one(nat),
42.78/43.17	    inference('demod', [status(thm)], ['14', '15'])).
42.78/43.17	tff('17', plain, nat_1(bit1(pls)) = one_one(nat),
42.78/43.17	    inference('demod', [status(thm)], ['14', '15'])).
42.78/43.17	tff('18', plain, ![X0]: number_number_of(nat, X0) = nat_1(X0),
42.78/43.17	    inference('sup+', [status(thm)], ['8', '9'])).
42.78/43.17	tff('19', plain,
42.78/43.17	    plus_plus(nat, nat_1(bit1(pls)), nat_1(bit1(pls)))
42.78/43.17	     = nat_1(bit0(bit1(pls))),
42.78/43.17	    inference('demod', [status(thm)], ['13', '16', '17', '18'])).
42.78/43.17	tff(fact_627_nat__mult__1__right, axiom,
42.78/43.17	  (![N]: (N = times_times(nat,N,one_one(nat))))).
42.78/43.17	tff('20', plain, ![X1877]: X1877 = times_times(nat, X1877, one_one(nat)),
42.78/43.17	    inference('cnf', [status(esa)], [fact_627_nat__mult__1__right])).
42.78/43.17	tff('21', plain, nat_1(bit1(pls)) = one_one(nat),
42.78/43.17	    inference('demod', [status(thm)], ['14', '15'])).
42.78/43.17	tff('22', plain, ![X1877]: X1877 = times_times(nat, X1877, nat_1(bit1(pls))),
42.78/43.17	    inference('demod', [status(thm)], ['20', '21'])).
42.78/43.17	tff('23', plain,
42.78/43.17	    hAPP(nat, int, 
42.78/43.17	      power_power(int, 
42.78/43.17	        plus_plus(int, bit1(pls), hAPP(nat, int, semiring_1_of_nat(int), n))), 
42.78/43.17	      nat_1(bit0(bit1(pls))))
42.78/43.17	     = pls,
42.78/43.17	    inference('demod', [status(thm)], ['0', '5', '10', '11'])).
42.78/43.17	tff(fact_641_zpower__zpower, axiom,
42.78/43.17	  (![X,Y,Z]:
42.78/43.17	     (hAPP(nat,int,power_power(int,hAPP(nat,int,power_power(int,X),Y)),Z) =
42.78/43.17	      hAPP(nat,int,power_power(int,X),times_times(nat,Y,Z))))).
42.78/43.17	tff('24', plain,
42.78/43.17	    ![X476, X477, X478]:
42.78/43.17	      hAPP(nat, int, 
42.78/43.17	        power_power(int, hAPP(nat, int, power_power(int, X476), X477)), X478)
42.78/43.17	       = hAPP(nat, int, power_power(int, X476), times_times(nat, X477, X478)),
42.78/43.17	    inference('cnf', [status(esa)], [fact_641_zpower__zpower])).
42.78/43.17	tff('25', plain,
42.78/43.17	    ![X0]:
42.78/43.17	      hAPP(nat, int, power_power(int, pls), X0)
42.78/43.17	       = hAPP(nat, int, 
42.78/43.17	           power_power(int, 
42.78/43.17	             plus_plus(int, bit1(pls), 
42.78/43.17	               hAPP(nat, int, semiring_1_of_nat(int), n))), 
42.78/43.17	           times_times(nat, nat_1(bit0(bit1(pls))), X0)),
42.78/43.17	    inference('sup+', [status(thm)], ['23', '24'])).
42.78/43.17	tff('26', plain,
42.78/43.17	    hAPP(nat, int, power_power(int, pls), nat_1(bit1(pls)))
42.78/43.17	     = hAPP(nat, int, 
42.78/43.17	         power_power(int, 
42.78/43.17	           plus_plus(int, bit1(pls), 
42.78/43.17	             hAPP(nat, int, semiring_1_of_nat(int), n))), 
42.78/43.17	         nat_1(bit0(bit1(pls)))),
42.78/43.17	    inference('sup+', [status(thm)], ['22', '25'])).
42.78/43.17	tff('27', plain,
42.78/43.17	    hAPP(nat, int, 
42.78/43.17	      power_power(int, 
42.78/43.17	        plus_plus(int, bit1(pls), hAPP(nat, int, semiring_1_of_nat(int), n))), 
42.78/43.17	      nat_1(bit0(bit1(pls))))
42.78/43.17	     = pls,
42.78/43.17	    inference('demod', [status(thm)], ['0', '5', '10', '11'])).
42.78/43.17	tff('28', plain,
42.78/43.17	    hAPP(nat, int, power_power(int, pls), nat_1(bit1(pls))) = pls,
42.78/43.17	    inference('sup+', [status(thm)], ['26', '27'])).
42.78/43.17	tff(fact_478_zpower__zadd__distrib, axiom,
42.78/43.17	  (![X,Y,Z]:
42.78/43.17	     (hAPP(nat,int,power_power(int,X),plus_plus(nat,Y,Z)) =
42.78/43.17	      times_times(int,hAPP(nat,int,power_power(int,X),Y),
42.78/43.17	                  hAPP(nat,int,power_power(int,X),Z))))).
42.78/43.17	tff('29', plain,
42.78/43.17	    ![X218, X219, X220]:
42.78/43.17	      hAPP(nat, int, power_power(int, X218), plus_plus(nat, X219, X220))
42.78/43.17	       = times_times(int, hAPP(nat, int, power_power(int, X218), X219), 
42.78/43.17	           hAPP(nat, int, power_power(int, X218), X220)),
42.78/43.17	    inference('cnf', [status(esa)], [fact_478_zpower__zadd__distrib])).
42.78/43.17	tff('30', plain,
42.78/43.17	    ![X0]:
42.78/43.17	      hAPP(nat, int, power_power(int, pls), 
42.78/43.17	        plus_plus(nat, nat_1(bit1(pls)), X0))
42.78/43.17	       = times_times(int, pls, hAPP(nat, int, power_power(int, pls), X0)),
42.78/43.17	    inference('sup+', [status(thm)], ['28', '29'])).
42.78/43.17	tff(fact_370_mult__Pls, axiom, (![W]: (pls = times_times(int,pls,W)))).
42.78/43.17	tff('31', plain, ![X320]: pls = times_times(int, pls, X320),
42.78/43.17	    inference('cnf', [status(esa)], [fact_370_mult__Pls])).
42.78/43.17	tff('32', plain,
42.78/43.17	    ![X0]:
42.78/43.17	      hAPP(nat, int, power_power(int, pls), 
42.78/43.17	        plus_plus(nat, nat_1(bit1(pls)), X0))
42.78/43.17	       = pls,
42.78/43.17	    inference('demod', [status(thm)], ['30', '31'])).
42.78/43.17	tff('33', plain,
42.78/43.17	    hAPP(nat, int, power_power(int, pls), nat_1(bit0(bit1(pls)))) = pls,
42.78/43.17	    inference('sup+', [status(thm)], ['19', '32'])).
42.78/43.17	tff(fact_967_power2__eq__iff__abs__eq, axiom,
42.78/43.17	  (![A_2,B]:
42.78/43.17	     ((hAPP(nat,int,power_power(int,B),number_number_of(nat,bit0(bit1(pls)))) =
42.78/43.17	       hAPP(nat,int,power_power(int,A_2),
42.78/43.17	            number_number_of(nat,bit0(bit1(pls))))) <=>
42.78/43.17	      (abs_abs(int,B) = abs_abs(int,A_2))))).
42.78/43.17	tff('34', plain,
42.78/43.17	    ![X1276, X1277]:
42.78/43.17	      (abs_abs(int, X1277) = abs_abs(int, X1276)
42.78/43.17	       | hAPP(nat, int, power_power(int, X1277), 
42.78/43.17	           number_number_of(nat, bit0(bit1(pls))))
42.78/43.17	          != hAPP(nat, int, power_power(int, X1276), 
42.78/43.17	               number_number_of(nat, bit0(bit1(pls))))),
42.78/43.17	    inference('cnf', [status(esa)], [fact_967_power2__eq__iff__abs__eq])).
42.78/43.17	tff('35', plain, ![X0]: number_number_of(nat, X0) = nat_1(X0),
42.78/43.17	    inference('sup+', [status(thm)], ['8', '9'])).
42.78/43.17	tff('36', plain, ![X0]: number_number_of(nat, X0) = nat_1(X0),
42.78/43.17	    inference('sup+', [status(thm)], ['8', '9'])).
42.78/43.17	tff('37', plain,
42.78/43.17	    ![X1276, X1277]:
42.78/43.17	      (abs_abs(int, X1277) = abs_abs(int, X1276)
42.78/43.17	       | hAPP(nat, int, power_power(int, X1277), nat_1(bit0(bit1(pls))))
42.78/43.17	          != hAPP(nat, int, power_power(int, X1276), nat_1(bit0(bit1(pls))))),
42.78/43.17	    inference('demod', [status(thm)], ['34', '35', '36'])).
42.78/43.17	tff('38', plain,
42.78/43.17	    ![X0]:
42.78/43.17	      (pls != hAPP(nat, int, power_power(int, X0), nat_1(bit0(bit1(pls))))
42.78/43.17	       | abs_abs(int, pls) = abs_abs(int, X0)),
42.78/43.17	    inference('sup-', [status(thm)], ['33', '37'])).
42.78/43.17	tff(fact_113_transfer__int__nat__numerals_I1_J, axiom,
42.78/43.17	  (hAPP(nat,int,semiring_1_of_nat(int),zero_zero(nat)) = zero_zero(int))).
42.78/43.17	tff('39', plain,
42.78/43.17	    hAPP(nat, int, semiring_1_of_nat(int), zero_zero(nat)) = zero_zero(int),
42.78/43.17	    inference('cnf', [status(esa)],
42.78/43.17	              [fact_113_transfer__int__nat__numerals_I1_J])).
42.78/43.17	tff(fact_25_nat__number__of__Pls, axiom,
42.78/43.17	  (zero_zero(nat) = number_number_of(nat,pls))).
42.78/43.17	tff('40', plain, zero_zero(nat) = number_number_of(nat, pls),
42.78/43.17	    inference('cnf', [status(esa)], [fact_25_nat__number__of__Pls])).
42.78/43.17	tff(fact_407_transfer__nat__int__numerals_I1_J, axiom,
42.78/43.17	  (nat_1(zero_zero(int)) = zero_zero(nat))).
42.78/43.17	tff('41', plain, nat_1(zero_zero(int)) = zero_zero(nat),
42.78/43.17	    inference('cnf', [status(esa)],
42.78/43.17	              [fact_407_transfer__nat__int__numerals_I1_J])).
42.78/43.17	tff('42', plain, zero_zero(int) = pls,
42.78/43.17	    inference('cnf', [status(esa)], [fact_73_Pls__def])).
42.78/43.17	tff('43', plain, zero_zero(nat) = number_number_of(nat, pls),
42.78/43.17	    inference('cnf', [status(esa)], [fact_25_nat__number__of__Pls])).
42.78/43.17	tff('44', plain, nat_1(pls) = number_number_of(nat, pls),
42.78/43.17	    inference('demod', [status(thm)], ['41', '42', '43'])).
42.78/43.17	tff('45', plain, zero_zero(nat) = nat_1(pls),
42.78/43.17	    inference('demod', [status(thm)], ['40', '44'])).
42.78/43.17	tff('46', plain, zero_zero(int) = pls,
42.78/43.17	    inference('cnf', [status(esa)], [fact_73_Pls__def])).
42.78/43.17	tff('47', plain, hAPP(nat, int, semiring_1_of_nat(int), nat_1(pls)) = pls,
42.78/43.17	    inference('demod', [status(thm)], ['39', '45', '46'])).
42.78/43.17	tff(fact_752_rel__simps_I6_J, axiom,
42.78/43.17	  (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),min),pls)))).
42.78/43.17	tff('48', plain,
42.78/43.17	     hBOOL(
42.78/43.17	       hAPP(int, bool, hAPP(int, fun(int, bool), ord_less(int), min), pls)),
42.78/43.17	    inference('cnf', [status(esa)], [fact_752_rel__simps_I6_J])).
42.78/43.17	tff(fact_36_add__nat__number__of, axiom,
42.78/43.17	  (![V_2,V_1]:
42.78/43.17	     (((~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),V_1),pls))) =>
42.78/43.17	       ((hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),V_2),pls)) =>
42.78/43.17	         (number_number_of(nat,V_1) =
42.78/43.17	          plus_plus(nat,number_number_of(nat,V_1),number_number_of(nat,V_2)))) & 
42.78/43.17	        ((~
42.78/43.17	           hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),V_2),pls))) =>
42.78/43.17	         (number_number_of(nat,plus_plus(int,V_1,V_2)) =
42.78/43.17	          plus_plus(nat,number_number_of(nat,V_1),number_number_of(nat,V_2)))))) & 
42.78/43.17	      (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),V_1),pls)) =>
42.78/43.17	       (number_number_of(nat,V_2) =
42.78/43.17	        plus_plus(nat,number_number_of(nat,V_1),number_number_of(nat,V_2))))))).
42.78/43.17	tff('49', plain,
42.78/43.17	    ![X195, X196]:
42.78/43.17	      (number_number_of(nat, X196)
42.78/43.17	        = plus_plus(nat, number_number_of(nat, X195), 
42.78/43.17	            number_number_of(nat, X196))
42.78/43.17	       | ~ hBOOL(
42.78/43.17	             hAPP(int, bool, hAPP(int, fun(int, bool), ord_less(int), X195), 
42.78/43.17	               pls))),
42.78/43.17	    inference('cnf', [status(esa)], [fact_36_add__nat__number__of])).
42.78/43.17	tff('50', plain, ![X0]: number_number_of(nat, X0) = nat_1(X0),
42.78/43.17	    inference('sup+', [status(thm)], ['8', '9'])).
42.78/43.17	tff('51', plain, ![X0]: number_number_of(nat, X0) = nat_1(X0),
42.78/43.17	    inference('sup+', [status(thm)], ['8', '9'])).
42.78/43.17	tff('52', plain, ![X0]: number_number_of(nat, X0) = nat_1(X0),
42.78/43.17	    inference('sup+', [status(thm)], ['8', '9'])).
42.78/43.17	tff('53', plain,
42.78/43.17	    ![X195, X196]:
42.78/43.17	      (nat_1(X196) = plus_plus(nat, nat_1(X195), nat_1(X196))
42.78/43.17	       | ~ hBOOL(
42.78/43.17	             hAPP(int, bool, hAPP(int, fun(int, bool), ord_less(int), X195), 
42.78/43.17	               pls))),
42.78/43.17	    inference('demod', [status(thm)], ['49', '50', '51', '52'])).
42.78/43.17	tff('54', plain, ![X0]: nat_1(X0) = plus_plus(nat, nat_1(min), nat_1(X0)),
42.78/43.17	    inference('sup-', [status(thm)], ['48', '53'])).
42.78/43.17	tff(fact_155_Nat_Oadd__0__right, axiom,
42.78/43.17	  (![M]: (M = plus_plus(nat,M,zero_zero(nat))))).
42.78/43.17	tff('55', plain, ![X963]: X963 = plus_plus(nat, X963, zero_zero(nat)),
42.78/43.17	    inference('cnf', [status(esa)], [fact_155_Nat_Oadd__0__right])).
42.78/43.17	tff('56', plain, zero_zero(nat) = nat_1(pls),
42.78/43.17	    inference('demod', [status(thm)], ['40', '44'])).
42.78/43.17	tff('57', plain, ![X963]: X963 = plus_plus(nat, X963, nat_1(pls)),
42.78/43.17	    inference('demod', [status(thm)], ['55', '56'])).
42.78/43.17	tff('58', plain, nat_1(min) = nat_1(pls),
42.78/43.17	    inference('sup+', [status(thm)], ['54', '57'])).
42.78/43.17	tff('59', plain, hAPP(nat, int, semiring_1_of_nat(int), nat_1(min)) = pls,
42.78/43.17	    inference('demod', [status(thm)], ['47', '58'])).
42.78/43.17	tff(fact_936_abs__int__eq, axiom,
42.78/43.17	  (![M]:
42.78/43.17	     (abs_abs(int,hAPP(nat,int,semiring_1_of_nat(int),M)) =
42.78/43.17	      hAPP(nat,int,semiring_1_of_nat(int),M)))).
42.78/43.17	tff('60', plain,
42.78/43.17	    ![X217]:
42.78/43.17	      abs_abs(int, hAPP(nat, int, semiring_1_of_nat(int), X217))
42.78/43.17	       = hAPP(nat, int, semiring_1_of_nat(int), X217),
42.78/43.17	    inference('cnf', [status(esa)], [fact_936_abs__int__eq])).
42.78/43.17	tff('61', plain,
42.78/43.17	    abs_abs(int, pls) = hAPP(nat, int, semiring_1_of_nat(int), nat_1(min)),
42.78/43.17	    inference('sup+', [status(thm)], ['59', '60'])).
42.78/43.17	tff('62', plain, hAPP(nat, int, semiring_1_of_nat(int), nat_1(min)) = pls,
42.78/43.17	    inference('demod', [status(thm)], ['47', '58'])).
42.78/43.17	tff('63', plain, abs_abs(int, pls) = pls,
42.78/43.17	    inference('sup+', [status(thm)], ['61', '62'])).
42.78/43.17	tff('64', plain,
42.78/43.17	    ![X0]:
42.78/43.17	      (pls != hAPP(nat, int, power_power(int, X0), nat_1(bit0(bit1(pls))))
42.78/43.17	       | pls = abs_abs(int, X0)),
42.78/43.17	    inference('demod', [status(thm)], ['38', '63'])).
42.78/43.17	tff('65', plain,
42.78/43.17	    (pls != pls
42.78/43.17	     | pls
42.78/43.17	        = abs_abs(int, 
42.78/43.17	            plus_plus(int, bit1(pls), 
42.78/43.17	              hAPP(nat, int, semiring_1_of_nat(int), n)))),
42.78/43.17	    inference('sup-', [status(thm)], ['12', '64'])).
42.78/43.17	tff('66', plain,
42.78/43.17	    pls
42.78/43.17	     = abs_abs(int, 
42.78/43.17	         plus_plus(int, bit1(pls), hAPP(nat, int, semiring_1_of_nat(int), n))),
42.78/43.17	    inference('simplify', [status(thm)], ['65'])).
42.78/43.17	tff(fact_956_zabs__less__one__iff, axiom,
42.78/43.17	  (![Z_1]:
42.78/43.17	     (hBOOL(hAPP(int,bool,
42.78/43.17	                 hAPP(int,fun(int,bool),ord_less(int),abs_abs(int,Z_1)),
42.78/43.17	                 one_one(int))) <=>
42.78/43.17	      (zero_zero(int) = ti(int,Z_1))))).
42.78/43.17	tff('67', plain,
42.78/43.17	    ![X835]:
42.78/43.17	      (zero_zero(int) = ti(int, X835)
42.78/43.17	       | ~ hBOOL(
42.78/43.17	             hAPP(int, bool, 
42.78/43.17	               hAPP(int, fun(int, bool), ord_less(int), abs_abs(int, X835)), 
42.78/43.17	               one_one(int)))),
42.78/43.17	    inference('cnf', [status(esa)], [fact_956_zabs__less__one__iff])).
42.78/43.17	tff('68', plain, zero_zero(int) = pls,
42.78/43.17	    inference('cnf', [status(esa)], [fact_73_Pls__def])).
42.78/43.17	tff('69', plain, one_one(int) = bit1(pls),
42.78/43.17	    inference('demod', [status(thm)], ['3', '4'])).
42.78/43.17	tff('70', plain,
42.78/43.17	    ![X835]:
42.78/43.17	      (pls = ti(int, X835)
42.78/43.17	       | ~ hBOOL(
42.78/43.17	             hAPP(int, bool, 
42.78/43.17	               hAPP(int, fun(int, bool), ord_less(int), abs_abs(int, X835)), 
42.78/43.17	               bit1(pls)))),
42.78/43.17	    inference('demod', [status(thm)], ['67', '68', '69'])).
42.78/43.17	tff('71', plain,
42.78/43.17	    (~ hBOOL(
42.78/43.17	         hAPP(int, bool, hAPP(int, fun(int, bool), ord_less(int), pls), 
42.78/43.17	           bit1(pls)))
42.78/43.17	     | pls
42.78/43.17	        = ti(int, 
42.78/43.17	            plus_plus(int, bit1(pls), 
42.78/43.17	              hAPP(nat, int, semiring_1_of_nat(int), n)))),
42.78/43.17	    inference('sup-', [status(thm)], ['66', '70'])).
42.78/43.17	tff(fact_59_int__0__less__1, axiom,
42.78/43.17	  (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),zero_zero(int)),
42.78/43.17	              one_one(int))))).
42.78/43.17	tff('72', plain,
42.78/43.17	     hBOOL(
42.78/43.17	       hAPP(int, bool, 
42.78/43.17	         hAPP(int, fun(int, bool), ord_less(int), zero_zero(int)), 
42.78/43.17	         one_one(int))),
42.78/43.17	    inference('cnf', [status(esa)], [fact_59_int__0__less__1])).
42.78/43.17	tff('73', plain, zero_zero(int) = pls,
42.78/43.17	    inference('cnf', [status(esa)], [fact_73_Pls__def])).
42.78/43.17	tff('74', plain, one_one(int) = bit1(pls),
42.78/43.17	    inference('demod', [status(thm)], ['3', '4'])).
42.78/43.17	tff('75', plain,
42.78/43.17	     hBOOL(
42.78/43.17	       hAPP(int, bool, hAPP(int, fun(int, bool), ord_less(int), pls), 
42.78/43.17	         bit1(pls))),
42.78/43.17	    inference('demod', [status(thm)], ['72', '73', '74'])).
42.78/43.17	tff('76', plain,
42.78/43.17	    pls
42.78/43.17	     = ti(int, 
42.78/43.17	         plus_plus(int, bit1(pls), hAPP(nat, int, semiring_1_of_nat(int), n))),
42.78/43.17	    inference('demod', [status(thm)], ['71', '75'])).
42.78/43.17	tff(fact_0_n1pos, axiom,
42.78/43.17	  (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),zero_zero(int)),
42.78/43.17	              plus_plus(int,one_one(int),
42.78/43.17	                        hAPP(nat,int,semiring_1_of_nat(int),n)))))).
42.78/43.17	tff('77', plain,
42.78/43.17	     hBOOL(
42.78/43.17	       hAPP(int, bool, 
42.78/43.17	         hAPP(int, fun(int, bool), ord_less(int), zero_zero(int)), 
42.78/43.17	         plus_plus(int, one_one(int), 
42.78/43.17	           hAPP(nat, int, semiring_1_of_nat(int), n)))),
42.78/43.17	    inference('cnf', [status(esa)], [fact_0_n1pos])).
42.78/43.17	tff('78', plain, zero_zero(int) = pls,
42.78/43.17	    inference('cnf', [status(esa)], [fact_73_Pls__def])).
42.78/43.17	tff('79', plain, one_one(int) = bit1(pls),
42.78/43.17	    inference('demod', [status(thm)], ['3', '4'])).
42.78/43.17	tff('80', plain,
42.78/43.17	     hBOOL(
42.78/43.17	       hAPP(int, bool, hAPP(int, fun(int, bool), ord_less(int), pls), 
42.78/43.17	         plus_plus(int, bit1(pls), hAPP(nat, int, semiring_1_of_nat(int), n)))),
42.78/43.17	    inference('demod', [status(thm)], ['77', '78', '79'])).
42.78/43.17	tff(fact_380_zless__le, axiom,
42.78/43.17	  (![Z_1,Wa]:
42.78/43.17	     (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),Z_1),Wa)) <=>
42.78/43.17	      (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),Z_1),Wa)) & 
42.78/43.17	       (ti(int,Wa) != ti(int,Z_1)))))).
42.78/43.17	tff('81', plain,
42.78/43.17	    ![X1077, X1078]:
42.78/43.17	      (ti(int, X1078) != ti(int, X1077)
42.78/43.17	       | ~ hBOOL(
42.78/43.17	             hAPP(int, bool, 
42.78/43.17	               hAPP(int, fun(int, bool), ord_less(int), X1077), X1078))),
42.78/43.17	    inference('cnf', [status(esa)], [fact_380_zless__le])).
42.78/43.17	tff('82', plain,
42.78/43.17	    ti(int, 
42.78/43.17	      plus_plus(int, bit1(pls), hAPP(nat, int, semiring_1_of_nat(int), n)))
42.78/43.17	     != ti(int, pls),
42.78/43.17	    inference('sup-', [status(thm)], ['80', '81'])).
42.78/43.17	tff(tsy_c_Int_OPls_res, axiom, (pls = ti(int,pls))).
42.78/43.17	tff('83', plain, pls = ti(int, pls),
42.78/43.17	    inference('cnf', [status(esa)], [tsy_c_Int_OPls_res])).
42.78/43.17	tff('84', plain,
42.78/43.17	    ti(int, 
42.78/43.17	      plus_plus(int, bit1(pls), hAPP(nat, int, semiring_1_of_nat(int), n)))
42.78/43.17	     != pls,
42.78/43.17	    inference('demod', [status(thm)], ['82', '83'])).
42.78/43.17	tff('85', plain, $false,
42.78/43.17	    inference('simplify_reflect-', [status(thm)], ['76', '84'])).
42.78/43.17	
42.78/43.17	% SZS output end Refutation
42.78/43.17	
42.78/43.18	% Zipperpin 1.5 exiting
42.78/43.18	EOF