0.12/0.12	% Problem    : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.12/0.14	% Command    : run_portfolio.sh /export/starexec/sandbox2/benchmark/theBenchmark.p /export/starexec/sandbox2/tmp/tmp.HPEYajFT2O
0.14/0.35	% Computer   : n005.cluster.edu
0.14/0.35	% Model      : x86_64 x86_64
0.14/0.35	% CPU        : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.14/0.35	% Memory     : 8042.1875MB
0.14/0.35	% OS         : Linux 3.10.0-693.el7.x86_64
0.14/0.35	% CPULimit   : 960
0.14/0.35	% DateTime   : Thu Jul  2 08:22:36 EDT 2020
0.14/0.35	% CPUTime    : 
0.14/0.35	% Running portfolio for 120 s
0.14/0.35	% File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
0.14/0.35	% Number of cores: 8
0.14/0.36	% Python version: Python 3.6.8
0.14/0.36	% Running in FO mode
5.53/5.76	% Running /export/starexec/sandbox2/solver/bin/fo/fo7.sh for 25
5.53/5.76	% Solved by: fo/fo7.sh
5.53/5.76	To remain in the chosen logic fragment, unification with booleans has been disabled.
5.53/5.76	% done 4730 iterations in 5.291s
5.53/5.76	% SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
5.53/5.76	% SZS output start Refutation
5.53/5.76	tff(a, conjecture,
5.53/5.76	  (leq(multiplication(a,multiplication(a,multiplication(a,a))),star(a)))).
5.53/5.76	tff(zf_stmt_0, negated_conjecture,
5.53/5.76	  (~leq(multiplication(a,multiplication(a,multiplication(a,a))),star(a)))).
5.53/5.76	tff('0', plain,
5.53/5.76	    ~ leq(multiplication(a, multiplication(a, multiplication(a, a))), 
5.53/5.76	        star(a)),
5.53/5.76	    inference('cnf', [status(esa)], [zf_stmt_0])).
5.53/5.76	tff(multiplicative_left_identity, axiom, (![A]: (multiplication(one,A) = A))).
5.53/5.76	tff('1', plain, ![X1]: multiplication(one, X1) = X1,
5.53/5.76	    inference('cnf', [status(esa)], [multiplicative_left_identity])).
5.53/5.76	tff(left_distributivity, axiom,
5.53/5.76	  (![A,B,C]:
5.53/5.76	     (multiplication(addition(A,B),C) =
5.53/5.76	      addition(multiplication(A,C),multiplication(B,C))))).
5.53/5.76	tff('2', plain,
5.53/5.76	    ![X19, X20, X21]:
5.53/5.76	      multiplication(addition(X19, X21), X20)
5.53/5.76	       = addition(multiplication(X19, X20), multiplication(X21, X20)),
5.53/5.76	    inference('cnf', [status(esa)], [left_distributivity])).
5.53/5.76	tff('3', plain,
5.53/5.76	    ![X0, X1]:
5.53/5.76	      multiplication(addition(X1, one), X0)
5.53/5.76	       = addition(multiplication(X1, X0), X0),
5.53/5.76	    inference('sup+', [status(thm)], ['1', '2'])).
5.53/5.76	tff(additive_commutativity, axiom, (![A,B]: (addition(B,A) = addition(A,B)))).
5.53/5.76	tff('4', plain, ![X26, X27]: addition(X27, X26) = addition(X26, X27),
5.53/5.76	    inference('cnf', [status(esa)], [additive_commutativity])).
5.53/5.76	tff('5', plain,
5.53/5.76	    ![X0, X1]:
5.53/5.76	      multiplication(addition(X1, one), X0)
5.53/5.76	       = addition(X0, multiplication(X1, X0)),
5.53/5.76	    inference('demod', [status(thm)], ['3', '4'])).
5.53/5.76	tff('6', plain, ![X26, X27]: addition(X27, X26) = addition(X26, X27),
5.53/5.76	    inference('cnf', [status(esa)], [additive_commutativity])).
5.53/5.76	tff(star_unfold_right, axiom,
5.53/5.76	  (![A]: leq(addition(one,multiplication(A,star(A))),star(A)))).
5.53/5.76	tff('7', plain,
5.53/5.76	    ![X6]:  leq(addition(one, multiplication(X6, star(X6))), star(X6)),
5.53/5.76	    inference('cnf', [status(esa)], [star_unfold_right])).
5.53/5.76	tff(order, axiom, (![A,B]: ((B = addition(A,B)) <=> leq(A,B)))).
5.53/5.76	tff('8', plain, ![X28, X30]: (X30 = addition(X28, X30) | ~ leq(X28, X30)),
5.53/5.76	    inference('cnf', [status(esa)], [order])).
5.53/5.76	tff('9', plain,
5.53/5.76	    ![X0]:
5.53/5.76	      star(X0)
5.53/5.76	       = addition(addition(one, multiplication(X0, star(X0))), star(X0)),
5.53/5.76	    inference('sup-', [status(thm)], ['7', '8'])).
5.53/5.76	tff('10', plain, ![X26, X27]: addition(X27, X26) = addition(X26, X27),
5.53/5.76	    inference('cnf', [status(esa)], [additive_commutativity])).
5.53/5.76	tff('11', plain,
5.53/5.76	    ![X0]:
5.53/5.76	      star(X0)
5.53/5.76	       = addition(star(X0), addition(one, multiplication(X0, star(X0)))),
5.53/5.76	    inference('demod', [status(thm)], ['9', '10'])).
5.53/5.76	tff(additive_associativity, axiom,
5.53/5.76	  (![C,B,A]: (addition(A,addition(B,C)) = addition(addition(A,B),C)))).
5.53/5.76	tff('12', plain,
5.53/5.76	    ![X2, X3, X4]:
5.53/5.76	      addition(X2, addition(X3, X4)) = addition(addition(X2, X3), X4),
5.53/5.76	    inference('cnf', [status(esa)], [additive_associativity])).
5.53/5.76	tff('13', plain, ![X26, X27]: addition(X27, X26) = addition(X26, X27),
5.53/5.76	    inference('cnf', [status(esa)], [additive_commutativity])).
5.53/5.76	tff(additive_idempotence, axiom, (![A]: (A = addition(A,A)))).
5.53/5.76	tff('14', plain, ![X8]: X8 = addition(X8, X8),
5.53/5.76	    inference('cnf', [status(esa)], [additive_idempotence])).
5.53/5.76	tff('15', plain,
5.53/5.76	    ![X2, X3, X4]:
5.53/5.76	      addition(X2, addition(X3, X4)) = addition(addition(X2, X3), X4),
5.53/5.76	    inference('cnf', [status(esa)], [additive_associativity])).
5.53/5.76	tff('16', plain,
5.53/5.76	    ![X0, X1]: addition(X0, addition(X0, X1)) = addition(X0, X1),
5.53/5.76	    inference('sup+', [status(thm)], ['14', '15'])).
5.53/5.76	tff('17', plain, ![X28, X29]: ( leq(X28, X29) | X29 != addition(X28, X29)),
5.53/5.76	    inference('cnf', [status(esa)], [order])).
5.53/5.76	tff('18', plain,
5.53/5.76	    ![X0, X1]:
5.53/5.76	      (addition(X1, X0) != addition(X1, X0) |  leq(X1, addition(X1, X0))),
5.53/5.76	    inference('sup-', [status(thm)], ['16', '17'])).
5.53/5.76	tff('19', plain, ![X0, X1]:  leq(X1, addition(X1, X0)),
5.53/5.76	    inference('simplify', [status(thm)], ['18'])).
5.53/5.76	tff('20', plain, ![X0, X1]:  leq(X0, addition(X1, X0)),
5.53/5.76	    inference('sup+', [status(thm)], ['13', '19'])).
5.53/5.76	tff('21', plain, ![X0, X1, X2]:  leq(X0, addition(X2, addition(X1, X0))),
5.53/5.76	    inference('sup+', [status(thm)], ['12', '20'])).
5.53/5.76	tff('22', plain, ![X0]:  leq(multiplication(X0, star(X0)), star(X0)),
5.53/5.76	    inference('sup+', [status(thm)], ['11', '21'])).
5.53/5.76	tff('23', plain, ![X28, X30]: (X30 = addition(X28, X30) | ~ leq(X28, X30)),
5.53/5.76	    inference('cnf', [status(esa)], [order])).
5.53/5.76	tff('24', plain,
5.53/5.76	    ![X0]: star(X0) = addition(multiplication(X0, star(X0)), star(X0)),
5.53/5.76	    inference('sup-', [status(thm)], ['22', '23'])).
5.53/5.76	tff('25', plain, ![X26, X27]: addition(X27, X26) = addition(X26, X27),
5.53/5.76	    inference('cnf', [status(esa)], [additive_commutativity])).
5.53/5.76	tff('26', plain,
5.53/5.76	    ![X0]: star(X0) = addition(star(X0), multiplication(X0, star(X0))),
5.53/5.76	    inference('demod', [status(thm)], ['24', '25'])).
5.53/5.76	tff('27', plain, ![X1]: multiplication(one, X1) = X1,
5.53/5.76	    inference('cnf', [status(esa)], [multiplicative_left_identity])).
5.53/5.76	tff('28', plain,
5.53/5.76	    ![X19, X20, X21]:
5.53/5.76	      multiplication(addition(X19, X21), X20)
5.53/5.76	       = addition(multiplication(X19, X20), multiplication(X21, X20)),
5.53/5.76	    inference('cnf', [status(esa)], [left_distributivity])).
5.53/5.76	tff('29', plain,
5.53/5.76	    ![X0, X1]:
5.53/5.76	      multiplication(addition(one, X1), X0)
5.53/5.76	       = addition(X0, multiplication(X1, X0)),
5.53/5.76	    inference('sup+', [status(thm)], ['27', '28'])).
5.53/5.76	tff('30', plain,
5.53/5.76	    ![X0]: star(X0) = multiplication(addition(one, X0), star(X0)),
5.53/5.76	    inference('demod', [status(thm)], ['26', '29'])).
5.53/5.76	tff('31', plain,
5.53/5.76	    ![X0]: star(X0) = multiplication(addition(X0, one), star(X0)),
5.53/5.76	    inference('sup+', [status(thm)], ['6', '30'])).
5.53/5.76	tff('32', plain,
5.53/5.76	    ![X0]: star(X0) = addition(star(X0), multiplication(X0, star(X0))),
5.53/5.76	    inference('demod', [status(thm)], ['24', '25'])).
5.53/5.76	tff(star_unfold_left, axiom,
5.53/5.76	  (![A]: leq(addition(one,multiplication(star(A),A)),star(A)))).
5.53/5.76	tff('33', plain,
5.53/5.76	    ![X0]:  leq(addition(one, multiplication(star(X0), X0)), star(X0)),
5.53/5.76	    inference('cnf', [status(esa)], [star_unfold_left])).
5.53/5.76	tff('34', plain, ![X28, X30]: (X30 = addition(X28, X30) | ~ leq(X28, X30)),
5.53/5.76	    inference('cnf', [status(esa)], [order])).
5.53/5.76	tff('35', plain,
5.53/5.76	    ![X0]:
5.53/5.76	      star(X0)
5.53/5.76	       = addition(addition(one, multiplication(star(X0), X0)), star(X0)),
5.53/5.76	    inference('sup-', [status(thm)], ['33', '34'])).
5.53/5.76	tff('36', plain, ![X26, X27]: addition(X27, X26) = addition(X26, X27),
5.53/5.76	    inference('cnf', [status(esa)], [additive_commutativity])).
5.53/5.76	tff('37', plain,
5.53/5.76	    ![X0]:
5.53/5.76	      star(X0)
5.53/5.76	       = addition(star(X0), addition(one, multiplication(star(X0), X0))),
5.53/5.76	    inference('demod', [status(thm)], ['35', '36'])).
5.53/5.76	tff('38', plain, ![X26, X27]: addition(X27, X26) = addition(X26, X27),
5.53/5.76	    inference('cnf', [status(esa)], [additive_commutativity])).
5.53/5.76	tff('39', plain, ![X0, X1, X2]:  leq(X0, addition(X2, addition(X1, X0))),
5.53/5.76	    inference('sup+', [status(thm)], ['12', '20'])).
5.53/5.76	tff('40', plain, ![X0, X1, X2]:  leq(X1, addition(X2, addition(X1, X0))),
5.53/5.76	    inference('sup+', [status(thm)], ['38', '39'])).
5.53/5.76	tff('41', plain, ![X0]:  leq(one, star(X0)),
5.53/5.76	    inference('sup+', [status(thm)], ['37', '40'])).
5.53/5.76	tff('42', plain, ![X28, X30]: (X30 = addition(X28, X30) | ~ leq(X28, X30)),
5.53/5.76	    inference('cnf', [status(esa)], [order])).
5.53/5.76	tff('43', plain, ![X0]: star(X0) = addition(one, star(X0)),
5.53/5.76	    inference('sup-', [status(thm)], ['41', '42'])).
5.53/5.76	tff(right_distributivity, axiom,
5.53/5.76	  (![A,B,C]:
5.53/5.76	     (addition(multiplication(A,B),multiplication(A,C)) =
5.53/5.76	      multiplication(A,addition(B,C))))).
5.53/5.76	tff('44', plain,
5.53/5.76	    ![X15, X16, X17]:
5.53/5.76	      addition(multiplication(X15, X16), multiplication(X15, X17))
5.53/5.76	       = multiplication(X15, addition(X16, X17)),
5.53/5.76	    inference('cnf', [status(esa)], [right_distributivity])).
5.53/5.76	tff('45', plain, ![X28, X29]: ( leq(X28, X29) | X29 != addition(X28, X29)),
5.53/5.76	    inference('cnf', [status(esa)], [order])).
5.53/5.76	tff('46', plain,
5.53/5.76	    ![X0, X1, X2]:
5.53/5.76	      (multiplication(X2, X0) != multiplication(X2, addition(X1, X0))
5.53/5.76	       |  leq(multiplication(X2, X1), multiplication(X2, X0))),
5.53/5.76	    inference('sup-', [status(thm)], ['44', '45'])).
5.53/5.76	tff('47', plain,
5.53/5.76	    ![X0, X1]:
5.53/5.76	      (multiplication(X1, star(X0)) != multiplication(X1, star(X0))
5.53/5.76	       |  leq(multiplication(X1, one), multiplication(X1, star(X0)))),
5.53/5.76	    inference('sup-', [status(thm)], ['43', '46'])).
5.53/5.76	tff(multiplicative_right_identity, axiom,
5.53/5.76	  (![A]: (A = multiplication(A,one)))).
5.53/5.76	tff('48', plain, ![X5]: X5 = multiplication(X5, one),
5.53/5.76	    inference('cnf', [status(esa)], [multiplicative_right_identity])).
5.53/5.76	tff('49', plain,
5.53/5.76	    ![X0, X1]:
5.53/5.76	      (multiplication(X1, star(X0)) != multiplication(X1, star(X0))
5.53/5.76	       |  leq(X1, multiplication(X1, star(X0)))),
5.53/5.76	    inference('demod', [status(thm)], ['47', '48'])).
5.53/5.76	tff('50', plain, ![X0, X1]:  leq(X1, multiplication(X1, star(X0))),
5.53/5.76	    inference('simplify', [status(thm)], ['49'])).
5.53/5.76	tff('51', plain, ![X28, X30]: (X30 = addition(X28, X30) | ~ leq(X28, X30)),
5.53/5.76	    inference('cnf', [status(esa)], [order])).
5.53/5.76	tff('52', plain,
5.53/5.76	    ![X0, X1]:
5.53/5.76	      multiplication(X1, star(X0))
5.53/5.76	       = addition(X1, multiplication(X1, star(X0))),
5.53/5.76	    inference('sup-', [status(thm)], ['50', '51'])).
5.53/5.76	tff('53', plain, ![X0, X1, X2]:  leq(X1, addition(X2, addition(X1, X0))),
5.53/5.76	    inference('sup+', [status(thm)], ['38', '39'])).
5.53/5.76	tff('54', plain,
5.53/5.76	    ![X0, X1, X2]:  leq(X1, addition(X2, multiplication(X1, star(X0)))),
5.53/5.76	    inference('sup+', [status(thm)], ['52', '53'])).
5.53/5.76	tff('55', plain, ![X0]:  leq(X0, star(X0)),
5.53/5.76	    inference('sup+', [status(thm)], ['32', '54'])).
5.53/5.76	tff('56', plain, ![X28, X30]: (X30 = addition(X28, X30) | ~ leq(X28, X30)),
5.53/5.76	    inference('cnf', [status(esa)], [order])).
5.53/5.76	tff('57', plain, ![X0]: star(X0) = addition(X0, star(X0)),
5.53/5.76	    inference('sup-', [status(thm)], ['55', '56'])).
5.53/5.76	tff('58', plain,
5.53/5.76	    ![X0, X1, X2]:
5.53/5.76	      (multiplication(X2, X0) != multiplication(X2, addition(X1, X0))
5.53/5.76	       |  leq(multiplication(X2, X1), multiplication(X2, X0))),
5.53/5.76	    inference('sup-', [status(thm)], ['44', '45'])).
5.53/5.76	tff('59', plain,
5.53/5.76	    ![X0, X1]:
5.53/5.76	      (multiplication(X1, star(X0)) != multiplication(X1, star(X0))
5.53/5.76	       |  leq(multiplication(X1, X0), multiplication(X1, star(X0)))),
5.53/5.76	    inference('sup-', [status(thm)], ['57', '58'])).
5.53/5.76	tff('60', plain,
5.53/5.76	    ![X0, X1]:  leq(multiplication(X1, X0), multiplication(X1, star(X0))),
5.53/5.76	    inference('simplify', [status(thm)], ['59'])).
5.53/5.76	tff('61', plain,
5.53/5.76	    ![X0]:  leq(multiplication(addition(X0, one), X0), star(X0)),
5.53/5.76	    inference('sup+', [status(thm)], ['31', '60'])).
5.53/5.76	tff('62', plain, ![X0]:  leq(addition(X0, multiplication(X0, X0)), star(X0)),
5.53/5.76	    inference('sup+', [status(thm)], ['5', '61'])).
5.53/5.76	tff('63', plain, ![X28, X30]: (X30 = addition(X28, X30) | ~ leq(X28, X30)),
5.53/5.76	    inference('cnf', [status(esa)], [order])).
5.53/5.76	tff('64', plain,
5.53/5.76	    ![X0]:
5.53/5.76	      star(X0) = addition(addition(X0, multiplication(X0, X0)), star(X0)),
5.53/5.76	    inference('sup-', [status(thm)], ['62', '63'])).
5.53/5.76	tff('65', plain,
5.53/5.76	    ![X2, X3, X4]:
5.53/5.76	      addition(X2, addition(X3, X4)) = addition(addition(X2, X3), X4),
5.53/5.76	    inference('cnf', [status(esa)], [additive_associativity])).
5.53/5.76	tff('66', plain, ![X26, X27]: addition(X27, X26) = addition(X26, X27),
5.53/5.76	    inference('cnf', [status(esa)], [additive_commutativity])).
5.53/5.76	tff('67', plain,
5.53/5.76	    ![X0, X1, X2]:
5.53/5.76	      addition(X0, addition(X2, X1)) = addition(X2, addition(X1, X0)),
5.53/5.76	    inference('sup+', [status(thm)], ['65', '66'])).
5.53/5.76	tff('68', plain, ![X26, X27]: addition(X27, X26) = addition(X26, X27),
5.53/5.76	    inference('cnf', [status(esa)], [additive_commutativity])).
5.53/5.76	tff('69', plain,
5.53/5.76	    ![X0, X1, X2]:
5.53/5.76	      addition(addition(X0, X2), X1) = addition(X2, addition(X1, X0)),
5.53/5.76	    inference('sup+', [status(thm)], ['67', '68'])).
5.53/5.76	tff('70', plain, ![X26, X27]: addition(X27, X26) = addition(X26, X27),
5.53/5.76	    inference('cnf', [status(esa)], [additive_commutativity])).
5.53/5.76	tff('71', plain, ![X0]: star(X0) = addition(X0, star(X0)),
5.53/5.76	    inference('sup-', [status(thm)], ['55', '56'])).
5.53/5.76	tff('72', plain,
5.53/5.76	    ![X0]: star(X0) = addition(multiplication(X0, X0), star(X0)),
5.53/5.76	    inference('demod', [status(thm)], ['64', '69', '70', '71'])).
5.53/5.76	tff('73', plain, ![X26, X27]: addition(X27, X26) = addition(X26, X27),
5.53/5.76	    inference('cnf', [status(esa)], [additive_commutativity])).
5.53/5.76	tff('74', plain,
5.53/5.76	    ![X0]: addition(star(X0), multiplication(X0, X0)) = star(X0),
5.53/5.76	    inference('sup+', [status(thm)], ['72', '73'])).
5.53/5.76	tff('75', plain, ![X0]: star(X0) = addition(one, star(X0)),
5.53/5.76	    inference('sup-', [status(thm)], ['41', '42'])).
5.53/5.76	tff('76', plain,
5.53/5.76	    ![X0]:
5.53/5.76	      star(X0)
5.53/5.76	       = addition(star(X0), addition(one, multiplication(star(X0), X0))),
5.53/5.76	    inference('demod', [status(thm)], ['35', '36'])).
5.53/5.76	tff('77', plain, ![X0, X1, X2]:  leq(X0, addition(X2, addition(X1, X0))),
5.53/5.76	    inference('sup+', [status(thm)], ['12', '20'])).
5.53/5.76	tff('78', plain, ![X0]:  leq(multiplication(star(X0), X0), star(X0)),
5.53/5.76	    inference('sup+', [status(thm)], ['76', '77'])).
5.53/5.76	tff('79', plain, ![X28, X30]: (X30 = addition(X28, X30) | ~ leq(X28, X30)),
5.53/5.76	    inference('cnf', [status(esa)], [order])).
5.53/5.76	tff('80', plain,
5.53/5.76	    ![X0]: star(X0) = addition(multiplication(star(X0), X0), star(X0)),
5.53/5.76	    inference('sup-', [status(thm)], ['78', '79'])).
5.53/5.76	tff('81', plain, ![X26, X27]: addition(X27, X26) = addition(X26, X27),
5.53/5.76	    inference('cnf', [status(esa)], [additive_commutativity])).
5.53/5.76	tff('82', plain,
5.53/5.76	    ![X0]: star(X0) = addition(star(X0), multiplication(star(X0), X0)),
5.53/5.76	    inference('demod', [status(thm)], ['80', '81'])).
5.53/5.76	tff('83', plain, ![X5]: X5 = multiplication(X5, one),
5.53/5.76	    inference('cnf', [status(esa)], [multiplicative_right_identity])).
5.53/5.76	tff('84', plain,
5.53/5.76	    ![X15, X16, X17]:
5.53/5.76	      addition(multiplication(X15, X16), multiplication(X15, X17))
5.53/5.76	       = multiplication(X15, addition(X16, X17)),
5.53/5.76	    inference('cnf', [status(esa)], [right_distributivity])).
5.53/5.76	tff('85', plain,
5.53/5.76	    ![X0, X1]:
5.53/5.76	      addition(X0, multiplication(X0, X1))
5.53/5.76	       = multiplication(X0, addition(one, X1)),
5.53/5.76	    inference('sup+', [status(thm)], ['83', '84'])).
5.53/5.76	tff('86', plain,
5.53/5.76	    ![X0]: star(X0) = multiplication(star(X0), addition(one, X0)),
5.53/5.76	    inference('demod', [status(thm)], ['82', '85'])).
5.53/5.76	tff('87', plain,
5.53/5.76	    ![X0]: star(star(X0)) = multiplication(star(star(X0)), star(X0)),
5.53/5.76	    inference('sup+', [status(thm)], ['75', '86'])).
5.53/5.76	tff('88', plain,
5.53/5.76	    ![X0]: star(X0) = addition(star(X0), multiplication(star(X0), X0)),
5.53/5.76	    inference('demod', [status(thm)], ['80', '81'])).
5.53/5.76	tff('89', plain, ![X26, X27]: addition(X27, X26) = addition(X26, X27),
5.53/5.76	    inference('cnf', [status(esa)], [additive_commutativity])).
5.53/5.76	tff(star_induction_right, axiom,
5.53/5.76	  (![A,B,C]:
5.53/5.76	     (leq(addition(multiplication(A,B),C),A) =>
5.53/5.76	      leq(multiplication(C,star(B)),A)))).
5.53/5.76	tff('90', plain,
5.53/5.76	    ![X9, X10, X11]:
5.53/5.76	      ( leq(multiplication(X9, star(X10)), X11)
5.53/5.76	       | ~ leq(addition(multiplication(X11, X10), X9), X11)),
5.53/5.76	    inference('cnf', [status(esa)], [star_induction_right])).
5.53/5.76	tff('91', plain,
5.53/5.76	    ![X0, X1, X2]:
5.53/5.76	      (~ leq(addition(X2, multiplication(X1, X0)), X1)
5.53/5.76	       |  leq(multiplication(X2, star(X0)), X1)),
5.53/5.76	    inference('sup-', [status(thm)], ['89', '90'])).
5.53/5.76	tff('92', plain,
5.53/5.76	    ![X0]:
5.53/5.76	      (~ leq(star(X0), star(X0))
5.53/5.76	       |  leq(multiplication(star(X0), star(X0)), star(X0))),
5.53/5.76	    inference('sup-', [status(thm)], ['88', '91'])).
5.53/5.76	tff('93', plain, ![X8]: X8 = addition(X8, X8),
5.53/5.76	    inference('cnf', [status(esa)], [additive_idempotence])).
5.53/5.76	tff('94', plain, ![X28, X29]: ( leq(X28, X29) | X29 != addition(X28, X29)),
5.53/5.76	    inference('cnf', [status(esa)], [order])).
5.53/5.76	tff('95', plain, ![X0]: (X0 != X0 |  leq(X0, X0)),
5.53/5.76	    inference('sup-', [status(thm)], ['93', '94'])).
5.53/5.76	tff('96', plain, ![X0]:  leq(X0, X0),
5.53/5.76	    inference('simplify', [status(thm)], ['95'])).
5.53/5.76	tff('97', plain, ![X0]:  leq(multiplication(star(X0), star(X0)), star(X0)),
5.53/5.76	    inference('demod', [status(thm)], ['92', '96'])).
5.53/5.76	tff('98', plain, ![X0]: star(X0) = addition(one, star(X0)),
5.53/5.76	    inference('sup-', [status(thm)], ['41', '42'])).
5.53/5.76	tff('99', plain,
5.53/5.76	    ![X0, X1]:
5.53/5.76	      addition(X0, multiplication(X0, X1))
5.53/5.76	       = multiplication(X0, addition(one, X1)),
5.53/5.76	    inference('sup+', [status(thm)], ['83', '84'])).
5.53/5.76	tff('100', plain,
5.53/5.76	    ![X0, X1, X2]:
5.53/5.76	      (~ leq(addition(X2, multiplication(X1, X0)), X1)
5.53/5.76	       |  leq(multiplication(X2, star(X0)), X1)),
5.53/5.76	    inference('sup-', [status(thm)], ['89', '90'])).
5.53/5.76	tff('101', plain,
5.53/5.76	    ![X0, X1]:
5.53/5.76	      (~ leq(multiplication(X1, addition(one, X0)), X1)
5.53/5.76	       |  leq(multiplication(X1, star(X0)), X1)),
5.53/5.76	    inference('sup-', [status(thm)], ['99', '100'])).
5.53/5.76	tff('102', plain,
5.53/5.76	    ![X0, X1]:
5.53/5.76	      (~ leq(multiplication(X1, star(X0)), X1)
5.53/5.76	       |  leq(multiplication(X1, star(star(X0))), X1)),
5.53/5.76	    inference('sup-', [status(thm)], ['98', '101'])).
5.53/5.76	tff('103', plain,
5.53/5.76	    ![X0]:  leq(multiplication(star(X0), star(star(X0))), star(X0)),
5.53/5.76	    inference('sup-', [status(thm)], ['97', '102'])).
5.53/5.76	tff('104', plain, ![X0]: star(X0) = addition(one, star(X0)),
5.53/5.76	    inference('sup-', [status(thm)], ['41', '42'])).
5.53/5.76	tff('105', plain,
5.53/5.76	    ![X0]: star(X0) = multiplication(addition(one, X0), star(X0)),
5.53/5.76	    inference('demod', [status(thm)], ['26', '29'])).
5.53/5.76	tff('106', plain,
5.53/5.76	    ![X0]: star(star(X0)) = multiplication(star(X0), star(star(X0))),
5.53/5.76	    inference('sup+', [status(thm)], ['104', '105'])).
5.53/5.76	tff('107', plain, ![X0]:  leq(star(star(X0)), star(X0)),
5.53/5.76	    inference('demod', [status(thm)], ['103', '106'])).
5.53/5.76	tff('108', plain, ![X28, X30]: (X30 = addition(X28, X30) | ~ leq(X28, X30)),
5.53/5.76	    inference('cnf', [status(esa)], [order])).
5.53/5.76	tff('109', plain, ![X0]: star(X0) = addition(star(star(X0)), star(X0)),
5.53/5.76	    inference('sup-', [status(thm)], ['107', '108'])).
5.53/5.76	tff('110', plain, ![X26, X27]: addition(X27, X26) = addition(X26, X27),
5.53/5.76	    inference('cnf', [status(esa)], [additive_commutativity])).
5.53/5.76	tff('111', plain, ![X0]: star(X0) = addition(X0, star(X0)),
5.53/5.76	    inference('sup-', [status(thm)], ['55', '56'])).
5.53/5.76	tff('112', plain, ![X0]: star(X0) = star(star(X0)),
5.53/5.76	    inference('demod', [status(thm)], ['109', '110', '111'])).
5.53/5.76	tff('113', plain, ![X0]: star(X0) = star(star(X0)),
5.53/5.76	    inference('demod', [status(thm)], ['109', '110', '111'])).
5.53/5.76	tff('114', plain, ![X0]: star(X0) = multiplication(star(X0), star(X0)),
5.53/5.76	    inference('demod', [status(thm)], ['87', '112', '113'])).
5.53/5.76	tff(star_induction_left, axiom,
5.53/5.76	  (![A,B,C]:
5.53/5.76	     (leq(addition(multiplication(A,B),C),B) =>
5.53/5.76	      leq(multiplication(star(A),C),B)))).
5.53/5.76	tff('115', plain,
5.53/5.76	    ![X23, X24, X25]:
5.53/5.76	      ( leq(multiplication(star(X23), X24), X25)
5.53/5.76	       | ~ leq(addition(multiplication(X23, X25), X24), X25)),
5.53/5.76	    inference('cnf', [status(esa)], [star_induction_left])).
5.53/5.76	tff('116', plain,
5.53/5.76	    ![X0, X1]:
5.53/5.76	      (~ leq(addition(star(X0), X1), star(X0))
5.53/5.76	       |  leq(multiplication(star(star(X0)), X1), star(X0))),
5.53/5.76	    inference('sup-', [status(thm)], ['114', '115'])).
5.53/5.76	tff('117', plain, ![X0]: star(X0) = star(star(X0)),
5.53/5.76	    inference('demod', [status(thm)], ['109', '110', '111'])).
5.53/5.76	tff('118', plain,
5.53/5.76	    ![X0, X1]:
5.53/5.76	      (~ leq(addition(star(X0), X1), star(X0))
5.53/5.76	       |  leq(multiplication(star(X0), X1), star(X0))),
5.53/5.76	    inference('demod', [status(thm)], ['116', '117'])).
5.53/5.76	tff('119', plain,
5.53/5.76	    ![X0]:
5.53/5.76	      (~ leq(star(X0), star(X0))
5.53/5.76	       |  leq(multiplication(star(X0), multiplication(X0, X0)), star(X0))),
5.53/5.76	    inference('sup-', [status(thm)], ['74', '118'])).
5.53/5.76	tff('120', plain, ![X0]:  leq(X0, X0),
5.53/5.76	    inference('simplify', [status(thm)], ['95'])).
5.53/5.76	tff('121', plain,
5.53/5.76	    ![X0]:  leq(multiplication(star(X0), multiplication(X0, X0)), star(X0)),
5.53/5.76	    inference('demod', [status(thm)], ['119', '120'])).
5.53/5.76	tff('122', plain, ![X28, X30]: (X30 = addition(X28, X30) | ~ leq(X28, X30)),
5.53/5.76	    inference('cnf', [status(esa)], [order])).
5.53/5.76	tff('123', plain,
5.53/5.76	    ![X0]:
5.53/5.76	      star(X0)
5.53/5.76	       = addition(multiplication(star(X0), multiplication(X0, X0)), star(X0)),
5.53/5.76	    inference('sup-', [status(thm)], ['121', '122'])).
5.53/5.76	tff('124', plain, ![X26, X27]: addition(X27, X26) = addition(X26, X27),
5.53/5.76	    inference('cnf', [status(esa)], [additive_commutativity])).
5.53/5.76	tff('125', plain, ![X5]: X5 = multiplication(X5, one),
5.53/5.76	    inference('cnf', [status(esa)], [multiplicative_right_identity])).
5.53/5.76	tff('126', plain,
5.53/5.76	    ![X15, X16, X17]:
5.53/5.76	      addition(multiplication(X15, X16), multiplication(X15, X17))
5.53/5.76	       = multiplication(X15, addition(X16, X17)),
5.53/5.76	    inference('cnf', [status(esa)], [right_distributivity])).
5.53/5.76	tff('127', plain,
5.53/5.76	    ![X0, X1]:
5.53/5.76	      addition(multiplication(X0, X1), X0)
5.53/5.76	       = multiplication(X0, addition(X1, one)),
5.53/5.76	    inference('sup+', [status(thm)], ['125', '126'])).
5.53/5.76	tff('128', plain, ![X26, X27]: addition(X27, X26) = addition(X26, X27),
5.53/5.76	    inference('cnf', [status(esa)], [additive_commutativity])).
5.53/5.76	tff('129', plain,
5.53/5.76	    ![X0, X1]:
5.53/5.76	      addition(X0, multiplication(X0, X1))
5.53/5.76	       = multiplication(X0, addition(X1, one)),
5.53/5.76	    inference('demod', [status(thm)], ['127', '128'])).
5.53/5.76	tff('130', plain, ![X26, X27]: addition(X27, X26) = addition(X26, X27),
5.53/5.76	    inference('cnf', [status(esa)], [additive_commutativity])).
5.53/5.76	tff('131', plain,
5.53/5.76	    ![X0]:
5.53/5.76	      star(X0)
5.53/5.76	       = multiplication(star(X0), addition(one, multiplication(X0, X0))),
5.53/5.76	    inference('demod', [status(thm)], ['123', '124', '129', '130'])).
5.53/5.76	tff('132', plain,
5.53/5.76	    ![X15, X16, X17]:
5.53/5.76	      addition(multiplication(X15, X16), multiplication(X15, X17))
5.53/5.76	       = multiplication(X15, addition(X16, X17)),
5.53/5.76	    inference('cnf', [status(esa)], [right_distributivity])).
5.53/5.76	tff('133', plain,
5.53/5.76	    ![X0, X1, X2]:
5.53/5.76	      (~ leq(addition(X2, multiplication(X1, X0)), X1)
5.53/5.76	       |  leq(multiplication(X2, star(X0)), X1)),
5.53/5.76	    inference('sup-', [status(thm)], ['89', '90'])).
5.53/5.76	tff('134', plain,
5.53/5.76	    ![X0, X1, X2]:
5.53/5.76	      (~ leq(multiplication(X2, addition(X1, X0)), X2)
5.53/5.76	       |  leq(multiplication(multiplication(X2, X1), star(X0)), X2)),
5.53/5.76	    inference('sup-', [status(thm)], ['132', '133'])).
5.53/5.76	tff(multiplicative_associativity, axiom,
5.53/5.76	  (![A,B,C]:
5.53/5.76	     (multiplication(A,multiplication(B,C)) =
5.53/5.76	      multiplication(multiplication(A,B),C)))).
5.53/5.76	tff('135', plain,
5.53/5.76	    ![X12, X13, X14]:
5.53/5.76	      multiplication(X12, multiplication(X13, X14))
5.53/5.76	       = multiplication(multiplication(X12, X13), X14),
5.53/5.76	    inference('cnf', [status(esa)], [multiplicative_associativity])).
5.53/5.76	tff('136', plain,
5.53/5.76	    ![X0, X1, X2]:
5.53/5.76	      (~ leq(multiplication(X2, addition(X1, X0)), X2)
5.53/5.76	       |  leq(multiplication(X2, multiplication(X1, star(X0))), X2)),
5.53/5.76	    inference('demod', [status(thm)], ['134', '135'])).
5.53/5.76	tff('137', plain,
5.53/5.76	    ![X0]:
5.53/5.76	      (~ leq(star(X0), star(X0))
5.53/5.76	       |  leq(
5.53/5.76	            multiplication(star(X0), 
5.53/5.76	              multiplication(one, star(multiplication(X0, X0)))), star(X0))),
5.53/5.76	    inference('sup-', [status(thm)], ['131', '136'])).
5.53/5.76	tff('138', plain, ![X0]:  leq(X0, X0),
5.53/5.76	    inference('simplify', [status(thm)], ['95'])).
5.53/5.76	tff('139', plain, ![X1]: multiplication(one, X1) = X1,
5.53/5.76	    inference('cnf', [status(esa)], [multiplicative_left_identity])).
5.53/5.76	tff('140', plain,
5.53/5.76	    ![X0]:
5.53/5.76	       leq(multiplication(star(X0), star(multiplication(X0, X0))), star(X0)),
5.53/5.76	    inference('demod', [status(thm)], ['137', '138', '139'])).
5.53/5.76	tff('141', plain, ![X28, X30]: (X30 = addition(X28, X30) | ~ leq(X28, X30)),
5.53/5.76	    inference('cnf', [status(esa)], [order])).
5.53/5.76	tff('142', plain,
5.53/5.76	    ![X0]:
5.53/5.76	      star(X0)
5.53/5.76	       = addition(multiplication(star(X0), star(multiplication(X0, X0))), 
5.53/5.76	           star(X0)),
5.53/5.76	    inference('sup-', [status(thm)], ['140', '141'])).
5.53/5.76	tff('143', plain, ![X26, X27]: addition(X27, X26) = addition(X26, X27),
5.53/5.76	    inference('cnf', [status(esa)], [additive_commutativity])).
5.53/5.76	tff('144', plain,
5.53/5.76	    ![X0, X1]:
5.53/5.76	      addition(X0, multiplication(X0, X1))
5.53/5.76	       = multiplication(X0, addition(X1, one)),
5.53/5.76	    inference('demod', [status(thm)], ['127', '128'])).
5.53/5.76	tff('145', plain, ![X26, X27]: addition(X27, X26) = addition(X26, X27),
5.53/5.76	    inference('cnf', [status(esa)], [additive_commutativity])).
5.53/5.76	tff('146', plain, ![X0]: star(X0) = addition(one, star(X0)),
5.53/5.76	    inference('sup-', [status(thm)], ['41', '42'])).
5.53/5.76	tff('147', plain,
5.53/5.76	    ![X0]: star(X0) = multiplication(star(X0), star(multiplication(X0, X0))),
5.53/5.76	    inference('demod', [status(thm)], ['142', '143', '144', '145', '146'])).
5.53/5.76	tff('148', plain, ![X0]: star(X0) = addition(one, star(X0)),
5.53/5.76	    inference('sup-', [status(thm)], ['41', '42'])).
5.53/5.76	tff('149', plain,
5.53/5.76	    ![X19, X20, X21]:
5.53/5.76	      multiplication(addition(X19, X21), X20)
5.53/5.76	       = addition(multiplication(X19, X20), multiplication(X21, X20)),
5.53/5.76	    inference('cnf', [status(esa)], [left_distributivity])).
5.53/5.76	tff('150', plain, ![X28, X29]: ( leq(X28, X29) | X29 != addition(X28, X29)),
5.53/5.76	    inference('cnf', [status(esa)], [order])).
5.53/5.76	tff('151', plain,
5.53/5.76	    ![X0, X1, X2]:
5.53/5.76	      (multiplication(X1, X0) != multiplication(addition(X2, X1), X0)
5.53/5.76	       |  leq(multiplication(X2, X0), multiplication(X1, X0))),
5.53/5.76	    inference('sup-', [status(thm)], ['149', '150'])).
5.53/5.76	tff('152', plain,
5.53/5.76	    ![X0, X1]:
5.53/5.76	      (multiplication(star(X0), X1) != multiplication(star(X0), X1)
5.53/5.76	       |  leq(multiplication(one, X1), multiplication(star(X0), X1))),
5.53/5.76	    inference('sup-', [status(thm)], ['148', '151'])).
5.53/5.76	tff('153', plain, ![X1]: multiplication(one, X1) = X1,
5.53/5.76	    inference('cnf', [status(esa)], [multiplicative_left_identity])).
5.53/5.76	tff('154', plain,
5.53/5.76	    ![X0, X1]:
5.53/5.76	      (multiplication(star(X0), X1) != multiplication(star(X0), X1)
5.53/5.76	       |  leq(X1, multiplication(star(X0), X1))),
5.53/5.76	    inference('demod', [status(thm)], ['152', '153'])).
5.53/5.76	tff('155', plain, ![X0, X1]:  leq(X1, multiplication(star(X0), X1)),
5.53/5.76	    inference('simplify', [status(thm)], ['154'])).
5.53/5.76	tff('156', plain, ![X28, X30]: (X30 = addition(X28, X30) | ~ leq(X28, X30)),
5.53/5.76	    inference('cnf', [status(esa)], [order])).
5.53/5.76	tff('157', plain,
5.53/5.76	    ![X0, X1]:
5.53/5.76	      multiplication(star(X1), X0)
5.53/5.76	       = addition(X0, multiplication(star(X1), X0)),
5.53/5.76	    inference('sup-', [status(thm)], ['155', '156'])).
5.53/5.76	tff('158', plain, ![X26, X27]: addition(X27, X26) = addition(X26, X27),
5.53/5.76	    inference('cnf', [status(esa)], [additive_commutativity])).
5.53/5.76	tff('159', plain,
5.53/5.76	    ![X0]: star(X0) = addition(multiplication(X0, X0), star(X0)),
5.53/5.76	    inference('demod', [status(thm)], ['64', '69', '70', '71'])).
5.53/5.76	tff('160', plain, ![X0, X1, X2]:  leq(X1, addition(X2, addition(X1, X0))),
5.53/5.76	    inference('sup+', [status(thm)], ['38', '39'])).
5.53/5.76	tff('161', plain,
5.53/5.76	    ![X0, X1]:  leq(multiplication(X0, X0), addition(X1, star(X0))),
5.53/5.76	    inference('sup+', [status(thm)], ['159', '160'])).
5.53/5.76	tff('162', plain,
5.53/5.76	    ![X0, X1]:  leq(multiplication(X1, X1), addition(star(X1), X0)),
5.53/5.76	    inference('sup+', [status(thm)], ['158', '161'])).
5.53/5.76	tff('163', plain,
5.53/5.76	    ![X0, X1]:
5.53/5.76	       leq(multiplication(X0, X0), multiplication(star(X1), star(X0))),
5.53/5.76	    inference('sup+', [status(thm)], ['157', '162'])).
5.53/5.76	tff('164', plain,
5.53/5.76	    ![X0]:
5.53/5.76	       leq(multiplication(multiplication(X0, X0), multiplication(X0, X0)), 
5.53/5.76	         star(X0)),
5.53/5.76	    inference('sup+', [status(thm)], ['147', '163'])).
5.53/5.76	tff('165', plain,
5.53/5.76	    ![X12, X13, X14]:
5.53/5.76	      multiplication(X12, multiplication(X13, X14))
5.53/5.76	       = multiplication(multiplication(X12, X13), X14),
5.53/5.76	    inference('cnf', [status(esa)], [multiplicative_associativity])).
5.53/5.76	tff('166', plain,
5.53/5.76	    ![X0]:
5.53/5.76	       leq(multiplication(X0, multiplication(X0, multiplication(X0, X0))), 
5.53/5.76	         star(X0)),
5.53/5.76	    inference('demod', [status(thm)], ['164', '165'])).
5.53/5.76	tff('167', plain, $false, inference('demod', [status(thm)], ['0', '166'])).
5.53/5.76	
5.53/5.76	% SZS output end Refutation
5.53/5.76	
5.53/5.77	% Zipperpin 1.5 exiting
5.53/5.77	EOF