0.07/0.13 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.07/0.14 % Command : run_portfolio.sh /export/starexec/sandbox/benchmark/theBenchmark.p /export/starexec/sandbox/tmp/tmp.jbSNTv7lW2 0.14/0.35 % Computer : n021.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 07:21:37 EDT 2020 0.14/0.35 % CPUTime : 0.14/0.35 % Running portfolio for 120 s 0.14/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p 0.14/0.36 % Number of cores: 8 0.14/0.36 % Python version: Python 3.6.8 0.14/0.36 % Running in FO mode 0.85/1.09 % Running /export/starexec/sandbox/solver/bin/fo/fo7.sh for 25 0.85/1.09 % Solved by: fo/fo7.sh 0.85/1.09 To remain in the chosen logic fragment, unification with booleans has been disabled. 0.85/1.09 % done 152 iterations in 0.625s 0.85/1.09 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p' 0.85/1.09 % SZS output start Refutation 0.85/1.09 tff(conjecture_1, conjecture, 0.85/1.09 (![A,B,C]: ((element(A) & (times(A,B) = C) & element(B)) => element(C)))). 0.85/1.09 tff(zf_stmt_0, negated_conjecture, 0.85/1.09 (~(![A,B,C]: ((element(A) & (times(A,B) = C) & element(B)) => element(C))))). 0.85/1.09 tff('0', plain, ~ element(sk_C), inference('cnf', [status(esa)], [zf_stmt_0])). 0.85/1.09 tff(axiom_2, axiom, 0.85/1.09 (![B]: (element(B) <=> (?[C]: ((times(B,B) = C) & (times(B,C) = B)))))). 0.85/1.09 tff('1', plain, ![X3]: (times(X3, X3) = sk_C_1(X3) | ~ element(X3)), 0.85/1.09 inference('cnf', [status(esa)], [axiom_2])). 0.85/1.09 tff(axiom_1, axiom, (![A,B,C]: (times(times(A,B),C) = times(B,times(C,A))))). 0.85/1.09 tff('2', plain, 0.85/1.09 ![X0, X1, X2]: times(times(X2, X0), X1) = times(X0, times(X1, X2)), 0.85/1.09 inference('cnf', [status(esa)], [axiom_1])). 0.85/1.09 tff('3', plain, times(sk_A, sk_B) = sk_C, 0.85/1.09 inference('cnf', [status(esa)], [zf_stmt_0])). 0.85/1.09 tff('4', plain, 0.85/1.09 ![X0, X1, X2]: times(times(X2, X0), X1) = times(X0, times(X1, X2)), 0.85/1.09 inference('cnf', [status(esa)], [axiom_1])). 0.85/1.09 tff('5', plain, ![X0]: times(sk_C, X0) = times(sk_B, times(X0, sk_A)), 0.85/1.09 inference('sup+', [status(thm)], ['3', '4'])). 0.85/1.09 tff('6', plain, 0.85/1.09 ![X0, X1]: 0.85/1.09 times(sk_C, times(X0, X1)) = times(sk_B, times(X1, times(sk_A, X0))), 0.85/1.09 inference('sup+', [status(thm)], ['2', '5'])). 0.85/1.09 tff('7', plain, 0.85/1.09 ![X0]: 0.85/1.09 (times(sk_C, times(sk_A, X0)) = times(sk_B, times(X0, sk_C_1(sk_A))) 0.85/1.09 | ~ element(sk_A)), 0.85/1.09 inference('sup+', [status(thm)], ['1', '6'])). 0.85/1.09 tff('8', plain, element(sk_A), inference('cnf', [status(esa)], [zf_stmt_0])). 0.85/1.09 tff('9', plain, 0.85/1.09 ![X0]: 0.85/1.09 times(sk_C, times(sk_A, X0)) = times(sk_B, times(X0, sk_C_1(sk_A))), 0.85/1.09 inference('demod', [status(thm)], ['7', '8'])). 0.85/1.09 tff('10', plain, 0.85/1.09 ![X0, X1]: 0.85/1.09 times(sk_C, times(X0, X1)) = times(sk_B, times(X1, times(sk_A, X0))), 0.85/1.09 inference('sup+', [status(thm)], ['2', '5'])). 0.85/1.09 tff('11', plain, 0.85/1.09 times(sk_C, times(sk_C_1(sk_A), sk_B)) 0.85/1.09 = times(sk_B, times(sk_C, times(sk_A, sk_A))), 0.85/1.09 inference('sup+', [status(thm)], ['9', '10'])). 0.85/1.09 tff('12', plain, ![X3]: (times(X3, sk_C_1(X3)) = X3 | ~ element(X3)), 0.85/1.09 inference('cnf', [status(esa)], [axiom_2])). 0.85/1.09 tff('13', plain, 0.85/1.09 ![X0, X1]: 0.85/1.09 times(sk_C, times(X0, X1)) = times(sk_B, times(X1, times(sk_A, X0))), 0.85/1.09 inference('sup+', [status(thm)], ['2', '5'])). 0.85/1.09 tff('14', plain, 0.85/1.09 ![X0]: 0.85/1.09 (times(sk_C, times(sk_C_1(sk_A), X0)) = times(sk_B, times(X0, sk_A)) 0.85/1.09 | ~ element(sk_A)), 0.85/1.09 inference('sup+', [status(thm)], ['12', '13'])). 0.85/1.09 tff('15', plain, ![X0]: times(sk_C, X0) = times(sk_B, times(X0, sk_A)), 0.85/1.09 inference('sup+', [status(thm)], ['3', '4'])). 0.85/1.09 tff('16', plain, element(sk_A), inference('cnf', [status(esa)], [zf_stmt_0])). 0.85/1.09 tff('17', plain, 0.85/1.09 ![X0]: times(sk_C, times(sk_C_1(sk_A), X0)) = times(sk_C, X0), 0.85/1.09 inference('demod', [status(thm)], ['14', '15', '16'])). 0.85/1.09 tff('18', plain, 0.85/1.09 ![X0, X1]: 0.85/1.09 times(sk_C, times(X0, X1)) = times(sk_B, times(X1, times(sk_A, X0))), 0.85/1.09 inference('sup+', [status(thm)], ['2', '5'])). 0.85/1.09 tff('19', plain, times(sk_C, sk_B) = times(sk_C, times(sk_A, sk_C)), 0.85/1.09 inference('demod', [status(thm)], ['11', '17', '18'])). 0.85/1.09 tff('20', plain, 0.85/1.09 ![X0, X1]: 0.85/1.09 times(sk_C, times(X0, X1)) = times(sk_B, times(X1, times(sk_A, X0))), 0.85/1.09 inference('sup+', [status(thm)], ['2', '5'])). 0.85/1.09 tff('21', plain, 0.85/1.09 times(sk_C, times(sk_C, sk_C)) = times(sk_B, times(sk_C, sk_B)), 0.85/1.09 inference('sup+', [status(thm)], ['19', '20'])). 0.85/1.09 tff('22', plain, ![X3]: (times(X3, X3) = sk_C_1(X3) | ~ element(X3)), 0.85/1.09 inference('cnf', [status(esa)], [axiom_2])). 0.85/1.09 tff('23', plain, 0.85/1.09 ![X0, X1, X2]: times(times(X2, X0), X1) = times(X0, times(X1, X2)), 0.85/1.09 inference('cnf', [status(esa)], [axiom_1])). 0.85/1.09 tff('24', plain, 0.85/1.09 ![X0, X1]: 0.85/1.09 (times(sk_C_1(X0), X1) = times(X0, times(X1, X0)) | ~ element(X0)), 0.85/1.09 inference('sup+', [status(thm)], ['22', '23'])). 0.85/1.09 tff('25', plain, 0.85/1.09 times(sk_C, times(sk_C, sk_C)) = times(sk_B, times(sk_C, sk_B)), 0.85/1.09 inference('sup+', [status(thm)], ['19', '20'])). 0.85/1.09 tff('26', plain, 0.85/1.09 (times(sk_C, times(sk_C, sk_C)) = times(sk_C_1(sk_B), sk_C) 0.85/1.09 | ~ element(sk_B)), 0.85/1.09 inference('sup+', [status(thm)], ['24', '25'])). 0.85/1.09 tff('27', plain, times(sk_A, sk_B) = sk_C, 0.85/1.09 inference('cnf', [status(esa)], [zf_stmt_0])). 0.85/1.09 tff('28', plain, ![X3]: (times(X3, sk_C_1(X3)) = X3 | ~ element(X3)), 0.85/1.09 inference('cnf', [status(esa)], [axiom_2])). 0.85/1.09 tff('29', plain, 0.85/1.09 ![X0, X1, X2]: times(times(X2, X0), X1) = times(X0, times(X1, X2)), 0.85/1.09 inference('cnf', [status(esa)], [axiom_1])). 0.85/1.09 tff('30', plain, 0.85/1.09 ![X0, X1]: 0.85/1.09 (times(X0, X1) = times(sk_C_1(X0), times(X1, X0)) | ~ element(X0)), 0.85/1.09 inference('sup+', [status(thm)], ['28', '29'])). 0.85/1.09 tff('31', plain, 0.85/1.09 (times(sk_B, sk_A) = times(sk_C_1(sk_B), sk_C) | ~ element(sk_B)), 0.85/1.09 inference('sup+', [status(thm)], ['27', '30'])). 0.85/1.09 tff('32', plain, element(sk_B), inference('cnf', [status(esa)], [zf_stmt_0])). 0.85/1.09 tff('33', plain, times(sk_B, sk_A) = times(sk_C_1(sk_B), sk_C), 0.85/1.09 inference('demod', [status(thm)], ['31', '32'])). 0.85/1.09 tff('34', plain, element(sk_B), inference('cnf', [status(esa)], [zf_stmt_0])). 0.85/1.09 tff('35', plain, times(sk_C, times(sk_C, sk_C)) = times(sk_B, sk_A), 0.85/1.09 inference('demod', [status(thm)], ['26', '33', '34'])). 0.85/1.09 tff('36', plain, times(sk_B, sk_A) = times(sk_B, times(sk_C, sk_B)), 0.85/1.09 inference('demod', [status(thm)], ['21', '35'])). 0.85/1.09 tff('37', plain, 0.85/1.09 ![X0, X1, X2]: times(times(X2, X0), X1) = times(X0, times(X1, X2)), 0.85/1.09 inference('cnf', [status(esa)], [axiom_1])). 0.85/1.09 tff('38', plain, 0.85/1.09 ![X0, X1, X2]: times(times(X2, X0), X1) = times(X0, times(X1, X2)), 0.85/1.09 inference('cnf', [status(esa)], [axiom_1])). 0.85/1.09 tff('39', plain, 0.85/1.09 ![X0, X1, X2, X3]: 0.85/1.09 times(times(X2, times(X1, X0)), X3) 0.85/1.09 = times(X1, times(X3, times(X0, X2))), 0.85/1.09 inference('sup+', [status(thm)], ['37', '38'])). 0.85/1.09 tff('40', plain, 0.85/1.09 ![X0, X1, X2]: times(times(X2, X0), X1) = times(X0, times(X1, X2)), 0.85/1.09 inference('cnf', [status(esa)], [axiom_1])). 0.85/1.09 tff('41', plain, 0.85/1.09 ![X0, X1, X2]: times(times(X2, X0), X1) = times(X0, times(X1, X2)), 0.85/1.09 inference('cnf', [status(esa)], [axiom_1])). 0.85/1.09 tff('42', plain, 0.85/1.09 ![X0, X1, X2]: times(times(X2, X0), X1) = times(X0, times(X1, X2)), 0.85/1.09 inference('cnf', [status(esa)], [axiom_1])). 0.85/1.09 tff('43', plain, 0.85/1.09 ![X0, X1, X2, X3]: 0.85/1.09 times(X0, times(X2, times(X1, X3))) 0.85/1.09 = times(X1, times(X3, times(X0, X2))), 0.85/1.09 inference('demod', [status(thm)], ['39', '40', '41', '42'])). 0.85/1.09 tff('44', plain, 0.85/1.09 ![X0, X1, X2]: times(times(X2, X0), X1) = times(X0, times(X1, X2)), 0.85/1.09 inference('cnf', [status(esa)], [axiom_1])). 0.85/1.09 tff('45', plain, 0.85/1.09 ![X4, X5]: ( element(X4) | times(X4, X5) != X4 | times(X4, X4) != X5), 0.85/1.09 inference('cnf', [status(esa)], [axiom_2])). 0.85/1.09 tff('46', plain, ![X4]: (times(X4, times(X4, X4)) != X4 | element(X4)), 0.85/1.09 inference('simplify', [status(thm)], ['45'])). 0.85/1.09 tff('47', plain, 0.85/1.09 ![X0, X1]: 0.85/1.09 (times(times(X0, X1), times(X1, times(times(X0, X1), X0))) 0.85/1.09 != times(X0, X1) 0.85/1.09 | element(times(X0, X1))), 0.85/1.09 inference('sup-', [status(thm)], ['44', '46'])). 0.85/1.09 tff('48', plain, 0.85/1.09 ![X0, X1, X2]: times(times(X2, X0), X1) = times(X0, times(X1, X2)), 0.85/1.09 inference('cnf', [status(esa)], [axiom_1])). 0.85/1.09 tff('49', plain, 0.85/1.09 ![X0, X1, X2]: times(times(X2, X0), X1) = times(X0, times(X1, X2)), 0.85/1.09 inference('cnf', [status(esa)], [axiom_1])). 0.85/1.09 tff('50', plain, 0.85/1.09 ![X0, X1, X2]: times(times(X2, X0), X1) = times(X0, times(X1, X2)), 0.85/1.09 inference('cnf', [status(esa)], [axiom_1])). 0.85/1.09 tff('51', plain, 0.85/1.09 ![X0, X1, X2]: times(times(X2, X0), X1) = times(X0, times(X1, X2)), 0.85/1.09 inference('cnf', [status(esa)], [axiom_1])). 0.85/1.09 tff('52', plain, 0.85/1.09 ![X0, X1, X2]: times(times(X2, X0), X1) = times(X0, times(X1, X2)), 0.85/1.09 inference('cnf', [status(esa)], [axiom_1])). 0.85/1.09 tff('53', plain, 0.85/1.09 ![X0, X1, X2]: times(times(X2, X0), X1) = times(X0, times(X1, X2)), 0.85/1.09 inference('cnf', [status(esa)], [axiom_1])). 0.85/1.09 tff('54', plain, 0.85/1.09 ![X0, X1, X2]: times(times(X2, X0), X1) = times(X0, times(X1, X2)), 0.85/1.09 inference('cnf', [status(esa)], [axiom_1])). 0.85/1.09 tff('55', plain, 0.85/1.09 ![X0, X1, X2]: times(times(X2, X0), X1) = times(X0, times(X1, X2)), 0.85/1.09 inference('cnf', [status(esa)], [axiom_1])). 0.85/1.09 tff('56', plain, 0.85/1.09 ![X0, X1, X2]: times(times(X2, X0), X1) = times(X0, times(X1, X2)), 0.85/1.09 inference('cnf', [status(esa)], [axiom_1])). 0.85/1.09 tff('57', plain, 0.85/1.09 ![X0, X1]: 0.85/1.09 (times(X1, times(X0, times(X0, times(X1, times(X1, X0))))) 0.85/1.09 != times(X0, X1) 0.85/1.09 | element(times(X0, X1))), 0.85/1.09 inference('demod', [status(thm)], 0.85/1.09 ['47', '48', '49', '50', '51', '52', '53', '54', '55', '56'])). 0.85/1.09 tff('58', plain, 0.85/1.09 ![X0, X1]: 0.85/1.09 (times(X1, times(X1, times(times(X1, X0), times(X0, X0)))) 0.85/1.09 != times(X0, X1) 0.85/1.09 | element(times(X0, X1))), 0.85/1.09 inference('sup-', [status(thm)], ['43', '57'])). 0.85/1.09 tff('59', plain, 0.85/1.09 ![X0, X1, X2]: times(times(X2, X0), X1) = times(X0, times(X1, X2)), 0.85/1.09 inference('cnf', [status(esa)], [axiom_1])). 0.85/1.09 tff('60', plain, 0.85/1.09 ![X0, X1, X2]: times(times(X2, X0), X1) = times(X0, times(X1, X2)), 0.85/1.09 inference('cnf', [status(esa)], [axiom_1])). 0.85/1.09 tff('61', plain, 0.85/1.09 ![X0, X1]: 0.85/1.09 (times(X1, times(X1, times(X0, times(X0, times(X1, X0))))) 0.85/1.09 != times(X0, X1) 0.85/1.09 | element(times(X0, X1))), 0.85/1.09 inference('demod', [status(thm)], ['58', '59', '60'])). 0.85/1.09 tff('62', plain, 0.85/1.09 (times(sk_B, 0.85/1.09 times(sk_B, 0.85/1.09 times(times(sk_C, sk_B), 0.85/1.09 times(times(sk_C, sk_B), times(sk_B, sk_A))))) 0.85/1.09 != times(times(sk_C, sk_B), sk_B) 0.85/1.09 | element(times(times(sk_C, sk_B), sk_B))), 0.85/1.09 inference('sup-', [status(thm)], ['36', '61'])). 0.85/1.09 tff('63', plain, 0.85/1.09 ![X0, X1, X2]: times(times(X2, X0), X1) = times(X0, times(X1, X2)), 0.85/1.09 inference('cnf', [status(esa)], [axiom_1])). 0.85/1.09 tff('64', plain, 0.85/1.09 ![X0, X1, X2]: times(times(X2, X0), X1) = times(X0, times(X1, X2)), 0.85/1.09 inference('cnf', [status(esa)], [axiom_1])). 0.85/1.09 tff('65', plain, 0.85/1.09 ![X0, X1, X2, X3]: 0.85/1.09 times(X0, times(X2, times(X1, X3))) 0.85/1.09 = times(X1, times(X3, times(X0, X2))), 0.85/1.09 inference('demod', [status(thm)], ['39', '40', '41', '42'])). 0.85/1.09 tff('66', plain, ![X0]: times(sk_C, X0) = times(sk_B, times(X0, sk_A)), 0.85/1.09 inference('sup+', [status(thm)], ['3', '4'])). 0.85/1.09 tff('67', plain, ![X3]: (times(X3, sk_C_1(X3)) = X3 | ~ element(X3)), 0.85/1.09 inference('cnf', [status(esa)], [axiom_2])). 0.85/1.09 tff('68', plain, times(sk_A, sk_B) = sk_C, 0.85/1.09 inference('cnf', [status(esa)], [zf_stmt_0])). 0.85/1.09 tff('69', plain, 0.85/1.09 ![X0, X1]: 0.85/1.09 (times(sk_C_1(X0), X1) = times(X0, times(X1, X0)) | ~ element(X0)), 0.85/1.09 inference('sup+', [status(thm)], ['22', '23'])). 0.85/1.09 tff('70', plain, 0.85/1.09 (times(sk_C_1(sk_B), sk_A) = times(sk_B, sk_C) | ~ element(sk_B)), 0.85/1.09 inference('sup+', [status(thm)], ['68', '69'])). 0.85/1.09 tff('71', plain, element(sk_B), inference('cnf', [status(esa)], [zf_stmt_0])). 0.85/1.09 tff('72', plain, times(sk_C_1(sk_B), sk_A) = times(sk_B, sk_C), 0.85/1.09 inference('demod', [status(thm)], ['70', '71'])). 0.85/1.09 tff('73', plain, 0.85/1.09 ![X0, X1, X2]: times(times(X2, X0), X1) = times(X0, times(X1, X2)), 0.85/1.09 inference('cnf', [status(esa)], [axiom_1])). 0.85/1.09 tff('74', plain, 0.85/1.09 ![X0]: 0.85/1.09 times(times(sk_B, sk_C), X0) = times(sk_A, times(X0, sk_C_1(sk_B))), 0.85/1.09 inference('sup+', [status(thm)], ['72', '73'])). 0.85/1.09 tff('75', plain, 0.85/1.09 ![X0, X1, X2]: times(times(X2, X0), X1) = times(X0, times(X1, X2)), 0.85/1.09 inference('cnf', [status(esa)], [axiom_1])). 0.85/1.09 tff('76', plain, 0.85/1.09 ![X0]: 0.85/1.09 times(sk_C, times(X0, sk_B)) = times(sk_A, times(X0, sk_C_1(sk_B))), 0.85/1.09 inference('demod', [status(thm)], ['74', '75'])). 0.85/1.09 tff('77', plain, 0.85/1.09 (times(sk_C, times(sk_B, sk_B)) = times(sk_A, sk_B) | ~ element(sk_B)), 0.85/1.09 inference('sup+', [status(thm)], ['67', '76'])). 0.85/1.09 tff('78', plain, times(sk_C_1(sk_B), sk_A) = times(sk_B, sk_C), 0.85/1.09 inference('demod', [status(thm)], ['70', '71'])). 0.85/1.09 tff('79', plain, ![X0]: times(sk_C, X0) = times(sk_B, times(X0, sk_A)), 0.85/1.09 inference('sup+', [status(thm)], ['3', '4'])). 0.85/1.09 tff('80', plain, times(sk_C, sk_C_1(sk_B)) = times(sk_B, times(sk_B, sk_C)), 0.85/1.09 inference('sup+', [status(thm)], ['78', '79'])). 0.85/1.09 tff('81', plain, times(sk_A, sk_B) = sk_C, 0.85/1.09 inference('cnf', [status(esa)], [zf_stmt_0])). 0.85/1.09 tff('82', plain, 0.85/1.09 ![X0, X1]: 0.85/1.09 times(sk_C, times(X0, X1)) = times(sk_B, times(X1, times(sk_A, X0))), 0.85/1.09 inference('sup+', [status(thm)], ['2', '5'])). 0.85/1.09 tff('83', plain, 0.85/1.09 ![X0]: times(sk_C, times(sk_B, X0)) = times(sk_B, times(X0, sk_C)), 0.85/1.09 inference('sup+', [status(thm)], ['81', '82'])). 0.85/1.09 tff('84', plain, times(sk_C, sk_C_1(sk_B)) = times(sk_C, times(sk_B, sk_B)), 0.85/1.09 inference('demod', [status(thm)], ['80', '83'])). 0.85/1.09 tff('85', plain, times(sk_A, sk_B) = sk_C, 0.85/1.09 inference('cnf', [status(esa)], [zf_stmt_0])). 0.85/1.09 tff('86', plain, element(sk_B), inference('cnf', [status(esa)], [zf_stmt_0])). 0.85/1.09 tff('87', plain, times(sk_C, sk_C_1(sk_B)) = sk_C, 0.85/1.09 inference('demod', [status(thm)], ['77', '84', '85', '86'])). 0.85/1.09 tff('88', plain, 0.85/1.09 ![X0]: 0.85/1.09 times(sk_C, times(X0, sk_B)) = times(sk_A, times(X0, sk_C_1(sk_B))), 0.85/1.09 inference('demod', [status(thm)], ['74', '75'])). 0.85/1.09 tff('89', plain, times(sk_C, times(sk_C, sk_B)) = times(sk_A, sk_C), 0.85/1.09 inference('sup+', [status(thm)], ['87', '88'])). 0.85/1.09 tff('90', plain, 0.85/1.09 ![X0, X1, X2]: times(times(X2, X0), X1) = times(X0, times(X1, X2)), 0.85/1.09 inference('cnf', [status(esa)], [axiom_1])). 0.85/1.09 tff('91', plain, 0.85/1.09 ![X0, X1, X2]: times(times(X2, X0), X1) = times(X0, times(X1, X2)), 0.85/1.09 inference('cnf', [status(esa)], [axiom_1])). 0.85/1.09 tff('92', plain, 0.85/1.09 ![X0, X1, X2, X3]: 0.85/1.09 times(X0, times(X2, times(X1, X3))) 0.85/1.09 = times(X1, times(X3, times(X0, X2))), 0.85/1.09 inference('demod', [status(thm)], ['39', '40', '41', '42'])). 0.85/1.09 tff('93', plain, ![X3]: (times(X3, X3) = sk_C_1(X3) | ~ element(X3)), 0.85/1.09 inference('cnf', [status(esa)], [axiom_2])). 0.85/1.09 tff('94', plain, ![X3]: (times(X3, X3) = sk_C_1(X3) | ~ element(X3)), 0.85/1.09 inference('cnf', [status(esa)], [axiom_2])). 0.85/1.09 tff('95', plain, ![X0]: times(sk_C, X0) = times(sk_B, times(X0, sk_A)), 0.85/1.09 inference('sup+', [status(thm)], ['3', '4'])). 0.85/1.09 tff('96', plain, 0.85/1.09 (times(sk_C, sk_A) = times(sk_B, sk_C_1(sk_A)) | ~ element(sk_A)), 0.85/1.09 inference('sup+', [status(thm)], ['94', '95'])). 0.85/1.09 tff('97', plain, element(sk_A), inference('cnf', [status(esa)], [zf_stmt_0])). 0.85/1.09 tff('98', plain, times(sk_C, sk_A) = times(sk_B, sk_C_1(sk_A)), 0.85/1.09 inference('demod', [status(thm)], ['96', '97'])). 0.85/1.09 tff('99', plain, 0.85/1.09 ![X0, X1, X2]: times(times(X2, X0), X1) = times(X0, times(X1, X2)), 0.85/1.09 inference('cnf', [status(esa)], [axiom_1])). 0.85/1.09 tff('100', plain, 0.85/1.09 ![X0]: 0.85/1.09 times(times(sk_C, sk_A), X0) = times(sk_C_1(sk_A), times(X0, sk_B)), 0.85/1.09 inference('sup+', [status(thm)], ['98', '99'])). 0.85/1.09 tff('101', plain, 0.85/1.09 ![X0, X1, X2]: times(times(X2, X0), X1) = times(X0, times(X1, X2)), 0.85/1.09 inference('cnf', [status(esa)], [axiom_1])). 0.85/1.09 tff('102', plain, 0.85/1.09 ![X0]: 0.85/1.09 times(sk_A, times(X0, sk_C)) = times(sk_C_1(sk_A), times(X0, sk_B)), 0.85/1.09 inference('demod', [status(thm)], ['100', '101'])). 0.85/1.09 tff('103', plain, 0.85/1.09 (times(sk_A, times(sk_B, sk_C)) = times(sk_C_1(sk_A), sk_C_1(sk_B)) 0.85/1.09 | ~ element(sk_B)), 0.85/1.09 inference('sup+', [status(thm)], ['93', '102'])). 0.85/1.09 tff('104', plain, element(sk_B), 0.85/1.09 inference('cnf', [status(esa)], [zf_stmt_0])). 0.85/1.09 tff('105', plain, 0.85/1.09 times(sk_A, times(sk_B, sk_C)) = times(sk_C_1(sk_A), sk_C_1(sk_B)), 0.85/1.09 inference('demod', [status(thm)], ['103', '104'])). 0.85/1.09 tff('106', plain, 0.85/1.09 ![X0]: times(sk_C, times(sk_C_1(sk_A), X0)) = times(sk_C, X0), 0.85/1.09 inference('demod', [status(thm)], ['14', '15', '16'])). 0.85/1.09 tff('107', plain, times(sk_C, sk_C_1(sk_B)) = sk_C, 0.85/1.09 inference('demod', [status(thm)], ['77', '84', '85', '86'])). 0.85/1.09 tff('108', plain, 0.85/1.09 ![X0]: times(sk_C, times(sk_B, X0)) = times(sk_B, times(X0, sk_C)), 0.85/1.09 inference('sup+', [status(thm)], ['81', '82'])). 0.85/1.09 tff('109', plain, times(sk_C, sk_C_1(sk_B)) = times(sk_C, times(sk_B, sk_B)), 0.85/1.09 inference('demod', [status(thm)], ['80', '83'])). 0.85/1.09 tff('110', plain, times(sk_C, sk_C_1(sk_B)) = sk_C, 0.85/1.09 inference('demod', [status(thm)], ['77', '84', '85', '86'])). 0.85/1.09 tff('111', plain, sk_C = times(sk_C, times(sk_B, sk_B)), 0.85/1.09 inference('demod', [status(thm)], ['109', '110'])). 0.85/1.09 tff('112', plain, 0.85/1.09 ![X0, X1, X2]: times(times(X2, X0), X1) = times(X0, times(X1, X2)), 0.85/1.09 inference('cnf', [status(esa)], [axiom_1])). 0.85/1.09 tff('113', plain, 0.85/1.09 ![X0]: times(sk_C, times(sk_B, X0)) = times(sk_B, times(X0, sk_C)), 0.85/1.09 inference('sup+', [status(thm)], ['81', '82'])). 0.85/1.09 tff('114', plain, sk_C = times(sk_C, times(sk_B, sk_B)), 0.85/1.09 inference('demod', [status(thm)], ['109', '110'])). 0.85/1.09 tff('115', plain, 0.85/1.09 ![X0, X1, X2]: times(times(X2, X0), X1) = times(X0, times(X1, X2)), 0.85/1.09 inference('cnf', [status(esa)], [axiom_1])). 0.85/1.09 tff('116', plain, 0.85/1.09 ![X0]: times(sk_C, times(sk_B, X0)) = times(sk_B, times(X0, sk_C)), 0.85/1.09 inference('sup+', [status(thm)], ['81', '82'])). 0.85/1.09 tff('117', plain, sk_C = times(sk_C, times(sk_B, sk_B)), 0.85/1.09 inference('demod', [status(thm)], ['109', '110'])). 0.85/1.09 tff('118', plain, (sk_C != sk_C | element(sk_C)), 0.85/1.09 inference('demod', [status(thm)], 0.85/1.09 ['62', '63', '64', '65', '66', '89', '90', '91', '92', '105', 0.85/1.09 '106', '107', '108', '111', '112', '113', '114', '115', 0.85/1.09 '116', '117'])). 0.85/1.09 tff('119', plain, element(sk_C), 0.85/1.09 inference('simplify', [status(thm)], ['118'])). 0.85/1.09 tff('120', plain, $false, inference('demod', [status(thm)], ['0', '119'])). 0.85/1.09 0.85/1.09 % SZS output end Refutation 0.85/1.09 0.93/1.10 % Zipperpin 1.5 exiting 0.93/1.10 EOF