0.02/0.09 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.02/0.09 % Command : run_portfolio.sh /export/starexec/sandbox2/benchmark/theBenchmark.p /export/starexec/sandbox2/tmp/tmp.btdjsHg1yl 0.10/0.30 % Computer : n011.cluster.edu 0.10/0.30 % Model : x86_64 x86_64 0.10/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.10/0.30 % Memory : 8042.1875MB 0.10/0.30 % OS : Linux 3.10.0-693.el7.x86_64 0.10/0.30 % CPULimit : 960 0.10/0.30 % DateTime : Thu Jul 2 06:47:31 EDT 2020 0.10/0.30 % CPUTime : 0.10/0.30 % Running portfolio for 120 s 0.10/0.30 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p 0.10/0.30 % Number of cores: 8 0.10/0.30 % Python version: Python 3.6.8 0.10/0.30 % Running in FO mode 1.72/1.99 % Running /export/starexec/sandbox2/solver/bin/fo/fo7.sh for 25 1.72/1.99 % Solved by: fo/fo7.sh 1.72/1.99 To remain in the chosen logic fragment, unification with booleans has been disabled. 1.72/1.99 % done 2506 iterations in 1.580s 1.72/1.99 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p' 1.72/1.99 % SZS output start Refutation 1.72/1.99 tff(main, conjecture, 1.72/1.99 (~ 1.72/1.99 (?[X]: 1.72/1.99 (~ 1.72/1.99 ((~(![Y]: ((~r1(X,Y)) | (~p4(Y))))) | 1.72/1.99 (~ 1.72/1.99 (![Y]: 1.72/1.99 ((~ 1.72/1.99 ((~ 1.72/1.99 (![X]: 1.72/1.99 ((~r1(Y,X)) | 1.72/1.99 (![Y]: 1.72/1.99 ((~(![X]: ((~p1(X)) | (~r1(Y,X))))) | (~r1(X,Y))))))) & 1.72/1.99 (![X]: ((~r1(Y,X)) | (~(![Y]: ((~p1(Y)) | (~r1(X,Y))))))))) | 1.72/1.99 (~r1(X,Y))))) | 1.72/1.99 (![Y]: 1.72/1.99 ((~r1(X,Y)) | 1.72/1.99 (![X]: ((~(![Y]: (p1(Y) | (~r1(X,Y))))) | (~r1(Y,X)))) | 1.72/1.99 (![X]: (p1(X) | (~r1(Y,X)))))) | 1.72/1.99 (~ 1.72/1.99 (![Y]: 1.72/1.99 ((~(![X]: ((~r1(Y,X)) | (~p1(X))))) | 1.72/1.99 (![X]: ((![Y]: ((~r1(X,Y)) | (~p1(Y)))) | (~r1(Y,X)))) | 1.72/1.99 (~r1(X,Y))))) | 1.72/1.99 (![Y]: 1.72/1.99 ((~r1(X,Y)) | 1.72/1.99 (~(![X]: ((~r1(Y,X)) | (~(![Y]: ((~r1(X,Y)) | p2(Y))))))))) | 1.72/1.99 (~ 1.72/1.99 (![Y]: 1.72/1.99 ((~ 1.72/1.99 ((~(![X]: ((~r1(Y,X)) | (![Y]: ((~r1(X,Y)) | p1(Y)))))) & 1.72/1.99 (![X]: ((~r1(Y,X)) | p1(X))))) | 1.72/1.99 (~r1(X,Y))))) | 1.72/1.99 (~ 1.72/1.99 (![Y]: 1.72/1.99 ((~r1(X,Y)) | 1.72/1.99 (~ 1.72/1.99 ((~ 1.72/1.99 (![X]: 1.72/1.99 ((~r1(Y,X)) | 1.72/1.99 (~ 1.72/1.99 (![Y]: 1.72/1.99 ((~r1(X,Y)) | (![X]: (p3(X) | (~r1(Y,X)))) | 1.72/1.99 (~p2(Y)))))))) | 1.72/1.99 ((![X]: ((~(![Y]: ((~r1(X,Y)) | (~p2(Y))))) | (~r1(Y,X)))) & 1.72/1.99 (~ 1.72/1.99 (![X]: 1.72/1.99 ((~r1(Y,X)) | 1.72/1.99 (![Y]: 1.72/1.99 ((~ 1.72/1.99 (![X]: 1.72/1.99 ((~r1(Y,X)) | 1.72/1.99 (![Y]: ((~r1(X,Y)) | p3(Y))) | (~p2(X))))) | 1.72/1.99 (~r1(X,Y)))))))) | 1.72/1.99 (~ 1.72/1.99 (![X]: 1.72/1.99 ((~ 1.72/1.99 ((![Y]: 1.72/1.99 ((~(![X]: ((~r1(Y,X)) | (~p2(X))))) | 1.72/1.99 (~r1(X,Y)))) & 1.72/1.99 (![Y]: 1.72/1.99 ((~r1(X,Y)) | 1.72/1.99 (~ 1.72/1.99 (![X]: 1.72/1.99 ((~r1(Y,X)) | 1.72/1.99 (~ 1.72/1.99 (![Y]: 1.72/1.99 ((![X]: (p3(X) | (~r1(Y,X)))) | 1.72/1.99 (~p2(Y)) | (~r1(X,Y)))))))))))) | 1.72/1.99 (~r1(Y,X))))) | 1.72/1.99 ((![X]: 1.72/1.99 ((~r1(Y,X)) | (~p2(X)) | (![Y]: ((~r1(X,Y)) | p3(Y))))) & 1.81/1.99 (![X]: ((~r1(Y,X)) | (~(![Y]: ((~p2(Y)) | (~r1(X,Y)))))))) | 1.81/1.99 (~ 1.81/1.99 (![X]: 1.81/1.99 ((~ 1.81/1.99 (p2(X) & 1.81/1.99 (~ 1.81/1.99 (![Y]: 1.81/1.99 ((~r1(X,Y)) | 1.81/1.99 (~ 1.81/1.99 (![X]: 1.81/1.99 ((~(![Y]: ((~r1(X,Y)) | (~p2(Y))))) | 1.81/1.99 (~r1(Y,X)))))))) & 1.81/1.99 (~ 1.81/1.99 (![Y]: 1.81/1.99 ((~r1(X,Y)) | 1.81/1.99 (~((~p2(Y)) | (![X]: (p3(X) | (~r1(Y,X))))))))))) | 1.81/1.99 (~r1(Y,X))))))))))))))). 1.81/1.99 tff(zf_stmt_0, negated_conjecture, 1.81/1.99 (?[X]: 1.81/1.99 (~ 1.81/1.99 ((~(![Y]: ((~r1(X,Y)) | (~p4(Y))))) | 1.81/1.99 (~ 1.81/1.99 (![Y]: 1.81/1.99 ((~ 1.81/1.99 ((~ 1.81/1.99 (![X]: 1.81/1.99 ((~r1(Y,X)) | 1.81/1.99 (![Y]: 1.81/1.99 ((~(![X]: ((~p1(X)) | (~r1(Y,X))))) | (~r1(X,Y))))))) & 1.81/1.99 (![X]: ((~r1(Y,X)) | (~(![Y]: ((~p1(Y)) | (~r1(X,Y))))))))) | 1.81/1.99 (~r1(X,Y))))) | 1.81/1.99 (![Y]: 1.81/1.99 ((~r1(X,Y)) | 1.81/1.99 (![X]: ((~(![Y]: (p1(Y) | (~r1(X,Y))))) | (~r1(Y,X)))) | 1.81/1.99 (![X]: (p1(X) | (~r1(Y,X)))))) | 1.81/1.99 (~ 1.81/1.99 (![Y]: 1.81/1.99 ((~(![X]: ((~r1(Y,X)) | (~p1(X))))) | 1.81/1.99 (![X]: ((![Y]: ((~r1(X,Y)) | (~p1(Y)))) | (~r1(Y,X)))) | 1.81/1.99 (~r1(X,Y))))) | 1.81/1.99 (![Y]: 1.81/1.99 ((~r1(X,Y)) | 1.81/1.99 (~(![X]: ((~r1(Y,X)) | (~(![Y]: ((~r1(X,Y)) | p2(Y))))))))) | 1.81/1.99 (~ 1.81/1.99 (![Y]: 1.81/1.99 ((~ 1.81/1.99 ((~(![X]: ((~r1(Y,X)) | (![Y]: ((~r1(X,Y)) | p1(Y)))))) & 1.81/1.99 (![X]: ((~r1(Y,X)) | p1(X))))) | 1.81/1.99 (~r1(X,Y))))) | 1.81/1.99 (~ 1.81/1.99 (![Y]: 1.81/1.99 ((~r1(X,Y)) | 1.81/1.99 (~ 1.81/1.99 ((~ 1.81/1.99 (![X]: 1.81/1.99 ((~r1(Y,X)) | 1.81/1.99 (~ 1.81/1.99 (![Y]: 1.81/1.99 ((~r1(X,Y)) | (![X]: (p3(X) | (~r1(Y,X)))) | 1.81/1.99 (~p2(Y)))))))) | 1.81/1.99 ((![X]: ((~(![Y]: ((~r1(X,Y)) | (~p2(Y))))) | (~r1(Y,X)))) & 1.81/1.99 (~ 1.81/1.99 (![X]: 1.81/1.99 ((~r1(Y,X)) | 1.81/1.99 (![Y]: 1.81/1.99 ((~ 1.81/1.99 (![X]: 1.81/1.99 ((~r1(Y,X)) | 1.81/1.99 (![Y]: ((~r1(X,Y)) | p3(Y))) | (~p2(X))))) | 1.81/1.99 (~r1(X,Y)))))))) | 1.81/1.99 (~ 1.81/1.99 (![X]: 1.81/1.99 ((~ 1.81/1.99 ((![Y]: 1.81/1.99 ((~(![X]: ((~r1(Y,X)) | (~p2(X))))) | (~r1(X,Y)))) & 1.81/1.99 (![Y]: 1.81/1.99 ((~r1(X,Y)) | 1.81/1.99 (~ 1.81/1.99 (![X]: 1.81/1.99 ((~r1(Y,X)) | 1.81/1.99 (~ 1.81/1.99 (![Y]: 1.81/1.99 ((![X]: (p3(X) | (~r1(Y,X)))) | 1.81/1.99 (~p2(Y)) | (~r1(X,Y)))))))))))) | 1.81/1.99 (~r1(Y,X))))) | 1.81/1.99 ((![X]: 1.81/1.99 ((~r1(Y,X)) | (~p2(X)) | (![Y]: ((~r1(X,Y)) | p3(Y))))) & 1.81/1.99 (![X]: ((~r1(Y,X)) | (~(![Y]: ((~p2(Y)) | (~r1(X,Y)))))))) | 1.81/1.99 (~ 1.81/1.99 (![X]: 1.81/1.99 ((~ 1.81/1.99 (p2(X) & 1.81/1.99 (~ 1.81/1.99 (![Y]: 1.81/1.99 ((~r1(X,Y)) | 1.81/1.99 (~ 1.81/1.99 (![X]: 1.81/1.99 ((~(![Y]: ((~r1(X,Y)) | (~p2(Y))))) | 1.81/1.99 (~r1(Y,X)))))))) & 1.81/1.99 (~ 1.81/1.99 (![Y]: 1.81/1.99 ((~r1(X,Y)) | 1.81/1.99 (~((~p2(Y)) | (![X]: (p3(X) | (~r1(Y,X))))))))))) | 1.81/1.99 (~r1(Y,X)))))))))))))). 1.81/1.99 tff('0', plain, r1(sk_X, sk_Y_1), 1.81/1.99 inference('cnf', [status(esa)], [zf_stmt_0])). 1.81/1.99 tff('1', plain, 1.81/1.99 ![X0]: (~ r1(sk_X, X0) | r1(X0, sk_X_11(X0)) | r1(X0, sk_X_12(X0))), 1.81/1.99 inference('cnf', [status(esa)], [zf_stmt_0])). 1.81/1.99 tff('2', plain, 1.81/1.99 ( r1(sk_Y_1, sk_X_12(sk_Y_1)) | r1(sk_Y_1, sk_X_11(sk_Y_1))), 1.81/1.99 inference('sup-', [status(thm)], ['0', '1'])). 1.81/1.99 tff('3', plain, r1(sk_X, sk_Y_1), 1.81/1.99 inference('cnf', [status(esa)], [zf_stmt_0])). 1.81/1.99 tff('4', plain, 1.81/1.99 ![X0, X1]: (~ r1(sk_X, X0) | ~ r1(X0, X1) | r1(X1, sk_Y_3(X1))), 1.81/1.99 inference('cnf', [status(esa)], [zf_stmt_0])). 1.81/1.99 tff('5', plain, ![X0]: ( r1(X0, sk_Y_3(X0)) | ~ r1(sk_Y_1, X0)), 1.81/1.99 inference('sup-', [status(thm)], ['3', '4'])). 1.81/1.99 tff('6', plain, 1.81/1.99 ( r1(sk_Y_1, sk_X_11(sk_Y_1)) 1.81/1.99 | r1(sk_X_12(sk_Y_1), sk_Y_3(sk_X_12(sk_Y_1)))), 1.81/1.99 inference('sup-', [status(thm)], ['2', '5'])). 1.81/1.99 tff('7', plain, r1(sk_X, sk_Y_1), 1.81/1.99 inference('cnf', [status(esa)], [zf_stmt_0])). 1.81/1.99 tff('8', plain, 1.81/1.99 ![X0, X8]: 1.81/1.99 (~ r1(sk_X, X0) 1.81/1.99 | r1(X0, sk_X_11(X0)) 1.81/1.99 | ~ p2(X8) 1.81/1.99 | ~ r1(sk_X_12(X0), X8)), 1.81/1.99 inference('cnf', [status(esa)], [zf_stmt_0])). 1.81/1.99 tff('9', plain, 1.81/1.99 ![X0]: 1.81/1.99 (~ r1(sk_X_12(sk_Y_1), X0) | ~ p2(X0) | r1(sk_Y_1, sk_X_11(sk_Y_1))), 1.81/1.99 inference('sup-', [status(thm)], ['7', '8'])). 1.81/1.99 tff('10', plain, 1.81/1.99 ( r1(sk_Y_1, sk_X_11(sk_Y_1)) 1.81/1.99 | r1(sk_Y_1, sk_X_11(sk_Y_1)) 1.81/1.99 | ~ p2(sk_Y_3(sk_X_12(sk_Y_1)))), 1.81/1.99 inference('sup-', [status(thm)], ['6', '9'])). 1.81/1.99 tff('11', plain, 1.81/1.99 (~ p2(sk_Y_3(sk_X_12(sk_Y_1))) | r1(sk_Y_1, sk_X_11(sk_Y_1))), 1.81/1.99 inference('simplify', [status(thm)], ['10'])). 1.81/1.99 tff('12', plain, 1.81/1.99 ( r1(sk_Y_1, sk_X_12(sk_Y_1)) | r1(sk_Y_1, sk_X_11(sk_Y_1))), 1.81/1.99 inference('sup-', [status(thm)], ['0', '1'])). 1.81/1.99 tff('13', plain, r1(sk_X, sk_Y_1), 1.81/1.99 inference('cnf', [status(esa)], [zf_stmt_0])). 1.81/1.99 tff('14', plain, 1.81/1.99 ![X0, X1]: (~ r1(sk_X, X0) | ~ r1(X0, X1) | p2(sk_Y_3(X1))), 1.81/1.99 inference('cnf', [status(esa)], [zf_stmt_0])). 1.81/1.99 tff('15', plain, ![X0]: ( p2(sk_Y_3(X0)) | ~ r1(sk_Y_1, X0)), 1.81/1.99 inference('sup-', [status(thm)], ['13', '14'])). 1.81/1.99 tff('16', plain, 1.81/1.99 ( r1(sk_Y_1, sk_X_11(sk_Y_1)) | p2(sk_Y_3(sk_X_12(sk_Y_1)))), 1.81/1.99 inference('sup-', [status(thm)], ['12', '15'])). 1.81/1.99 tff('17', plain, r1(sk_Y_1, sk_X_11(sk_Y_1)), 1.81/1.99 inference('clc', [status(thm)], ['11', '16'])). 1.81/1.99 tff('18', plain, r1(sk_X, sk_Y_1), 1.81/1.99 inference('cnf', [status(esa)], [zf_stmt_0])). 1.81/1.99 tff('19', plain, 1.81/1.99 ![X0, X6]: 1.81/1.99 (~ r1(sk_X, X0) 1.81/1.99 | r1(X6, sk_Y_5(X6)) 1.81/1.99 | r1(X6, sk_Y_7(X6)) 1.81/1.99 | ~ r1(X0, X6)), 1.81/1.99 inference('cnf', [status(esa)], [zf_stmt_0])). 1.81/1.99 tff('20', plain, 1.81/1.99 ![X0]: (~ r1(sk_Y_1, X0) | r1(X0, sk_Y_7(X0)) | r1(X0, sk_Y_5(X0))), 1.81/1.99 inference('sup-', [status(thm)], ['18', '19'])). 1.81/1.99 tff('21', plain, 1.81/1.99 ( r1(sk_X_11(sk_Y_1), sk_Y_5(sk_X_11(sk_Y_1))) 1.81/1.99 | r1(sk_X_11(sk_Y_1), sk_Y_7(sk_X_11(sk_Y_1)))), 1.81/1.99 inference('sup-', [status(thm)], ['17', '20'])). 1.81/1.99 tff('22', plain, r1(sk_Y_1, sk_X_11(sk_Y_1)), 1.81/1.99 inference('clc', [status(thm)], ['11', '16'])). 1.81/1.99 tff('23', plain, 1.81/1.99 ( r1(sk_X_11(sk_Y_1), sk_Y_5(sk_X_11(sk_Y_1))) 1.81/1.99 | r1(sk_X_11(sk_Y_1), sk_Y_7(sk_X_11(sk_Y_1)))), 1.81/1.99 inference('sup-', [status(thm)], ['17', '20'])). 1.81/1.99 tff('24', plain, r1(sk_Y_1, sk_X_11(sk_Y_1)), 1.81/1.99 inference('clc', [status(thm)], ['11', '16'])). 1.81/1.99 tff('25', plain, r1(sk_X, sk_Y_1), 1.81/1.99 inference('cnf', [status(esa)], [zf_stmt_0])). 1.81/1.99 tff('26', plain, 1.81/1.99 ![X0, X2, X3]: 1.81/1.99 (~ r1(sk_X, X0) 1.81/1.99 | r1(X0, sk_X_8(X0)) 1.81/1.99 | r1(X2, sk_X_9(X2)) 1.81/1.99 | ~ r1(X3, X2) 1.81/1.99 | ~ r1(X0, X3)), 1.81/1.99 inference('cnf', [status(esa)], [zf_stmt_0])). 1.81/1.99 tff('27', plain, 1.81/1.99 ![X0, X1]: 1.81/1.99 (~ r1(sk_Y_1, X0) 1.81/1.99 | ~ r1(X0, X1) 1.81/1.99 | r1(X1, sk_X_9(X1)) 1.81/1.99 | r1(sk_Y_1, sk_X_8(sk_Y_1))), 1.81/1.99 inference('sup-', [status(thm)], ['25', '26'])). 1.81/1.99 tff('28', plain, 1.81/1.99 ![X0]: 1.81/1.99 ( r1(sk_Y_1, sk_X_8(sk_Y_1)) 1.81/1.99 | r1(X0, sk_X_9(X0)) 1.81/1.99 | ~ r1(sk_X_11(sk_Y_1), X0)), 1.81/1.99 inference('sup-', [status(thm)], ['24', '27'])). 1.81/1.99 tff('29', plain, 1.81/1.99 ( r1(sk_X_11(sk_Y_1), sk_Y_5(sk_X_11(sk_Y_1))) 1.81/1.99 | r1(sk_Y_7(sk_X_11(sk_Y_1)), sk_X_9(sk_Y_7(sk_X_11(sk_Y_1)))) 1.81/1.99 | r1(sk_Y_1, sk_X_8(sk_Y_1))), 1.81/1.99 inference('sup-', [status(thm)], ['23', '28'])). 1.81/1.99 tff('30', plain, r1(sk_Y_1, sk_X_11(sk_Y_1)), 1.81/1.99 inference('clc', [status(thm)], ['11', '16'])). 1.81/1.99 tff('31', plain, r1(sk_X, sk_Y_1), 1.81/1.99 inference('cnf', [status(esa)], [zf_stmt_0])). 1.81/1.99 tff('32', plain, 1.81/1.99 ![X0, X6, X7]: 1.81/1.99 (~ r1(sk_X, X0) 1.81/1.99 | r1(X6, sk_Y_5(X6)) 1.81/1.99 | ~ p2(X7) 1.81/1.99 | ~ r1(sk_Y_7(X6), X7) 1.81/1.99 | ~ r1(X0, X6)), 1.81/1.99 inference('cnf', [status(esa)], [zf_stmt_0])). 1.81/1.99 tff('33', plain, 1.81/1.99 ![X0, X1]: 1.81/1.99 (~ r1(sk_Y_1, X0) 1.81/1.99 | ~ r1(sk_Y_7(X0), X1) 1.81/1.99 | ~ p2(X1) 1.81/1.99 | r1(X0, sk_Y_5(X0))), 1.81/1.99 inference('sup-', [status(thm)], ['31', '32'])). 1.81/1.99 tff('34', plain, 1.81/1.99 ![X0]: 1.81/1.99 ( r1(sk_X_11(sk_Y_1), sk_Y_5(sk_X_11(sk_Y_1))) 1.81/1.99 | ~ p2(X0) 1.81/1.99 | ~ r1(sk_Y_7(sk_X_11(sk_Y_1)), X0)), 1.81/1.99 inference('sup-', [status(thm)], ['30', '33'])). 1.81/1.99 tff('35', plain, 1.81/1.99 ( r1(sk_Y_1, sk_X_8(sk_Y_1)) 1.81/1.99 | r1(sk_X_11(sk_Y_1), sk_Y_5(sk_X_11(sk_Y_1))) 1.81/1.99 | ~ p2(sk_X_9(sk_Y_7(sk_X_11(sk_Y_1)))) 1.81/1.99 | r1(sk_X_11(sk_Y_1), sk_Y_5(sk_X_11(sk_Y_1)))), 1.81/1.99 inference('sup-', [status(thm)], ['29', '34'])). 1.81/1.99 tff('36', plain, 1.81/1.99 (~ p2(sk_X_9(sk_Y_7(sk_X_11(sk_Y_1)))) 1.81/1.99 | r1(sk_X_11(sk_Y_1), sk_Y_5(sk_X_11(sk_Y_1))) 1.81/1.99 | r1(sk_Y_1, sk_X_8(sk_Y_1))), 1.81/1.99 inference('simplify', [status(thm)], ['35'])). 1.81/1.99 tff('37', plain, 1.81/1.99 ( r1(sk_X_11(sk_Y_1), sk_Y_5(sk_X_11(sk_Y_1))) 1.81/1.99 | r1(sk_X_11(sk_Y_1), sk_Y_7(sk_X_11(sk_Y_1)))), 1.81/1.99 inference('sup-', [status(thm)], ['17', '20'])). 1.81/1.99 tff('38', plain, r1(sk_Y_1, sk_X_11(sk_Y_1)), 1.81/1.99 inference('clc', [status(thm)], ['11', '16'])). 1.81/1.99 tff('39', plain, r1(sk_X, sk_Y_1), 1.81/1.99 inference('cnf', [status(esa)], [zf_stmt_0])). 1.81/1.99 tff('40', plain, 1.81/1.99 ![X0, X2, X3]: 1.81/1.99 (~ r1(sk_X, X0) 1.81/1.99 | r1(X0, sk_X_8(X0)) 1.81/1.99 | p2(sk_X_9(X2)) 1.81/1.99 | ~ r1(X3, X2) 1.81/1.99 | ~ r1(X0, X3)), 1.81/1.99 inference('cnf', [status(esa)], [zf_stmt_0])). 1.81/1.99 tff('41', plain, 1.81/1.99 ![X0, X1]: 1.81/1.99 (~ r1(sk_Y_1, X0) 1.81/1.99 | ~ r1(X0, X1) 1.81/1.99 | p2(sk_X_9(X1)) 1.81/1.99 | r1(sk_Y_1, sk_X_8(sk_Y_1))), 1.81/1.99 inference('sup-', [status(thm)], ['39', '40'])). 1.81/1.99 tff('42', plain, 1.81/1.99 ![X0]: 1.81/1.99 ( r1(sk_Y_1, sk_X_8(sk_Y_1)) 1.81/1.99 | p2(sk_X_9(X0)) 1.81/1.99 | ~ r1(sk_X_11(sk_Y_1), X0)), 1.81/1.99 inference('sup-', [status(thm)], ['38', '41'])). 1.81/1.99 tff('43', plain, 1.81/1.99 ( r1(sk_X_11(sk_Y_1), sk_Y_5(sk_X_11(sk_Y_1))) 1.81/1.99 | p2(sk_X_9(sk_Y_7(sk_X_11(sk_Y_1)))) 1.81/1.99 | r1(sk_Y_1, sk_X_8(sk_Y_1))), 1.81/1.99 inference('sup-', [status(thm)], ['37', '42'])). 1.81/1.99 tff('44', plain, 1.81/1.99 ( r1(sk_Y_1, sk_X_8(sk_Y_1)) 1.81/1.99 | r1(sk_X_11(sk_Y_1), sk_Y_5(sk_X_11(sk_Y_1)))), 1.81/1.99 inference('clc', [status(thm)], ['36', '43'])). 1.81/1.99 tff('45', plain, r1(sk_Y_1, sk_X_11(sk_Y_1)), 1.81/1.99 inference('clc', [status(thm)], ['11', '16'])). 1.81/1.99 tff('46', plain, ![X16]: (~ r1(sk_Y_1, X16) | r1(X16, sk_Y_2(X16))), 1.81/1.99 inference('cnf', [status(esa)], [zf_stmt_0])). 1.81/1.99 tff('47', plain, r1(sk_X_11(sk_Y_1), sk_Y_2(sk_X_11(sk_Y_1))), 1.81/1.99 inference('sup-', [status(thm)], ['45', '46'])). 1.81/1.99 tff('48', plain, r1(sk_Y_1, sk_X_11(sk_Y_1)), 1.81/1.99 inference('clc', [status(thm)], ['11', '16'])). 1.81/1.99 tff('49', plain, r1(sk_X, sk_Y_1), 1.81/1.99 inference('cnf', [status(esa)], [zf_stmt_0])). 1.81/1.99 tff('50', plain, 1.81/1.99 ![X0, X9, X10, X11]: 1.81/1.99 (~ r1(sk_X, X0) 1.81/1.99 | p2(X9) 1.81/1.99 | ~ r1(X10, X9) 1.81/1.99 | r1(X11, sk_X_14(X11)) 1.81/1.99 | ~ r1(X10, X11) 1.81/1.99 | ~ p2(X10) 1.81/1.99 | ~ r1(X0, X10)), 1.81/1.99 inference('cnf', [status(esa)], [zf_stmt_0])). 1.81/1.99 tff('51', plain, 1.81/1.99 ![X0, X1, X2]: 1.81/1.99 (~ r1(sk_Y_1, X0) 1.81/1.99 | ~ p2(X0) 1.81/1.99 | ~ r1(X0, X1) 1.81/1.99 | r1(X1, sk_X_14(X1)) 1.81/1.99 | ~ r1(X0, X2) 1.81/1.99 | p2(X2)), 1.81/1.99 inference('sup-', [status(thm)], ['49', '50'])). 1.81/1.99 tff('52', plain, 1.81/1.99 ![X0, X1]: 1.81/1.99 ( p2(X0) 1.81/1.99 | ~ r1(sk_X_11(sk_Y_1), X0) 1.81/1.99 | r1(X1, sk_X_14(X1)) 1.81/1.99 | ~ r1(sk_X_11(sk_Y_1), X1) 1.81/1.99 | ~ p2(sk_X_11(sk_Y_1))), 1.81/1.99 inference('sup-', [status(thm)], ['48', '51'])). 1.81/1.99 tff('53', plain, r1(sk_X, sk_Y_1), 1.81/1.99 inference('cnf', [status(esa)], [zf_stmt_0])). 1.81/1.99 tff('54', plain, 1.81/1.99 ![X0]: (~ r1(sk_X, X0) | p2(sk_X_11(X0)) | r1(X0, sk_X_12(X0))), 1.81/1.99 inference('cnf', [status(esa)], [zf_stmt_0])). 1.81/1.99 tff('55', plain, ( r1(sk_Y_1, sk_X_12(sk_Y_1)) | p2(sk_X_11(sk_Y_1))), 1.81/1.99 inference('sup-', [status(thm)], ['53', '54'])). 1.81/1.99 tff('56', plain, ![X0]: ( r1(X0, sk_Y_3(X0)) | ~ r1(sk_Y_1, X0)), 1.81/1.99 inference('sup-', [status(thm)], ['3', '4'])). 1.81/1.99 tff('57', plain, 1.81/1.99 ( p2(sk_X_11(sk_Y_1)) | r1(sk_X_12(sk_Y_1), sk_Y_3(sk_X_12(sk_Y_1)))), 1.81/1.99 inference('sup-', [status(thm)], ['55', '56'])). 1.81/1.99 tff('58', plain, r1(sk_X, sk_Y_1), 1.81/1.99 inference('cnf', [status(esa)], [zf_stmt_0])). 1.81/1.99 tff('59', plain, 1.81/1.99 ![X0, X8]: 1.81/1.99 (~ r1(sk_X, X0) | p2(sk_X_11(X0)) | ~ p2(X8) | ~ r1(sk_X_12(X0), X8)), 1.81/1.99 inference('cnf', [status(esa)], [zf_stmt_0])). 1.81/1.99 tff('60', plain, 1.81/1.99 ![X0]: (~ r1(sk_X_12(sk_Y_1), X0) | ~ p2(X0) | p2(sk_X_11(sk_Y_1))), 1.81/1.99 inference('sup-', [status(thm)], ['58', '59'])). 1.81/1.99 tff('61', plain, 1.81/1.99 ( p2(sk_X_11(sk_Y_1)) 1.81/1.99 | p2(sk_X_11(sk_Y_1)) 1.81/1.99 | ~ p2(sk_Y_3(sk_X_12(sk_Y_1)))), 1.81/1.99 inference('sup-', [status(thm)], ['57', '60'])). 1.81/1.99 tff('62', plain, (~ p2(sk_Y_3(sk_X_12(sk_Y_1))) | p2(sk_X_11(sk_Y_1))), 1.81/1.99 inference('simplify', [status(thm)], ['61'])). 1.81/1.99 tff('63', plain, ( r1(sk_Y_1, sk_X_12(sk_Y_1)) | p2(sk_X_11(sk_Y_1))), 1.81/1.99 inference('sup-', [status(thm)], ['53', '54'])). 1.81/1.99 tff('64', plain, ![X0]: ( p2(sk_Y_3(X0)) | ~ r1(sk_Y_1, X0)), 1.81/1.99 inference('sup-', [status(thm)], ['13', '14'])). 1.81/1.99 tff('65', plain, ( p2(sk_X_11(sk_Y_1)) | p2(sk_Y_3(sk_X_12(sk_Y_1)))), 1.81/1.99 inference('sup-', [status(thm)], ['63', '64'])). 1.81/1.99 tff('66', plain, p2(sk_X_11(sk_Y_1)), 1.81/1.99 inference('clc', [status(thm)], ['62', '65'])). 1.81/1.99 tff('67', plain, 1.81/1.99 ![X0, X1]: 1.81/1.99 ( p2(X0) 1.81/1.99 | ~ r1(sk_X_11(sk_Y_1), X0) 1.81/1.99 | r1(X1, sk_X_14(X1)) 1.81/1.99 | ~ r1(sk_X_11(sk_Y_1), X1)), 1.81/1.99 inference('demod', [status(thm)], ['52', '66'])). 1.81/1.99 tff('68', plain, 1.81/1.99 ![X0]: 1.81/1.99 (~ r1(sk_X_11(sk_Y_1), X0) 1.81/1.99 | r1(X0, sk_X_14(X0)) 1.81/1.99 | p2(sk_Y_2(sk_X_11(sk_Y_1)))), 1.81/1.99 inference('sup-', [status(thm)], ['47', '67'])). 1.81/1.99 tff('69', plain, r1(sk_Y_1, sk_X_11(sk_Y_1)), 1.81/1.99 inference('clc', [status(thm)], ['11', '16'])). 1.81/1.99 tff('70', plain, ![X16]: (~ r1(sk_Y_1, X16) | ~ p2(sk_Y_2(X16))), 1.81/1.99 inference('cnf', [status(esa)], [zf_stmt_0])). 1.81/1.99 tff('71', plain, ~ p2(sk_Y_2(sk_X_11(sk_Y_1))), 1.81/1.99 inference('sup-', [status(thm)], ['69', '70'])). 1.81/1.99 tff('72', plain, ![X0]: ( r1(X0, sk_X_14(X0)) | ~ r1(sk_X_11(sk_Y_1), X0)), 1.81/1.99 inference('clc', [status(thm)], ['68', '71'])). 1.81/1.99 tff('73', plain, 1.81/1.99 ( r1(sk_Y_1, sk_X_8(sk_Y_1)) 1.81/1.99 | r1(sk_Y_5(sk_X_11(sk_Y_1)), sk_X_14(sk_Y_5(sk_X_11(sk_Y_1))))), 1.81/1.99 inference('sup-', [status(thm)], ['44', '72'])). 1.81/1.99 tff('74', plain, r1(sk_Y_1, sk_X_11(sk_Y_1)), 1.81/1.99 inference('clc', [status(thm)], ['11', '16'])). 1.81/1.99 tff('75', plain, r1(sk_X, sk_Y_1), 1.81/1.99 inference('cnf', [status(esa)], [zf_stmt_0])). 1.81/1.99 tff('76', plain, 1.81/1.99 ![X0, X5, X6]: 1.81/1.99 (~ r1(sk_X, X0) 1.81/1.99 | p2(sk_Y_6(X5)) 1.81/1.99 | ~ r1(sk_Y_5(X6), X5) 1.81/1.99 | r1(X6, sk_Y_7(X6)) 1.81/1.99 | ~ r1(X0, X6)), 1.81/1.99 inference('cnf', [status(esa)], [zf_stmt_0])). 1.81/1.99 tff('77', plain, 1.81/1.99 ![X0, X1]: 1.81/1.99 (~ r1(sk_Y_1, X0) 1.81/1.99 | r1(X0, sk_Y_7(X0)) 1.81/1.99 | ~ r1(sk_Y_5(X0), X1) 1.81/1.99 | p2(sk_Y_6(X1))), 1.81/1.99 inference('sup-', [status(thm)], ['75', '76'])). 1.81/1.99 tff('78', plain, 1.81/1.99 ![X0]: 1.81/1.99 ( p2(sk_Y_6(X0)) 1.81/1.99 | ~ r1(sk_Y_5(sk_X_11(sk_Y_1)), X0) 1.81/1.99 | r1(sk_X_11(sk_Y_1), sk_Y_7(sk_X_11(sk_Y_1)))), 1.81/1.99 inference('sup-', [status(thm)], ['74', '77'])). 1.81/1.99 tff('79', plain, 1.81/1.99 ( r1(sk_Y_1, sk_X_8(sk_Y_1)) 1.81/1.99 | r1(sk_X_11(sk_Y_1), sk_Y_7(sk_X_11(sk_Y_1))) 1.81/1.99 | p2(sk_Y_6(sk_X_14(sk_Y_5(sk_X_11(sk_Y_1)))))), 1.81/1.99 inference('sup-', [status(thm)], ['73', '78'])). 1.81/1.99 tff('80', plain, 1.81/1.99 ( r1(sk_Y_1, sk_X_8(sk_Y_1)) 1.81/1.99 | r1(sk_Y_5(sk_X_11(sk_Y_1)), sk_X_14(sk_Y_5(sk_X_11(sk_Y_1))))), 1.81/1.99 inference('sup-', [status(thm)], ['44', '72'])). 1.81/1.99 tff('81', plain, r1(sk_Y_1, sk_X_11(sk_Y_1)), 1.81/1.99 inference('clc', [status(thm)], ['11', '16'])). 1.81/1.99 tff('82', plain, r1(sk_X, sk_Y_1), 1.81/1.99 inference('cnf', [status(esa)], [zf_stmt_0])). 1.81/1.99 tff('83', plain, 1.81/1.99 ![X0, X5, X6]: 1.81/1.99 (~ r1(sk_X, X0) 1.81/1.99 | r1(X5, sk_Y_6(X5)) 1.81/1.99 | ~ r1(sk_Y_5(X6), X5) 1.81/1.99 | r1(X6, sk_Y_7(X6)) 1.81/1.99 | ~ r1(X0, X6)), 1.81/1.99 inference('cnf', [status(esa)], [zf_stmt_0])). 1.81/1.99 tff('84', plain, 1.81/1.99 ![X0, X1]: 1.81/1.99 (~ r1(sk_Y_1, X0) 1.81/1.99 | r1(X0, sk_Y_7(X0)) 1.81/1.99 | ~ r1(sk_Y_5(X0), X1) 1.81/1.99 | r1(X1, sk_Y_6(X1))), 1.81/1.99 inference('sup-', [status(thm)], ['82', '83'])). 1.81/1.99 tff('85', plain, 1.81/1.99 ![X0]: 1.81/1.99 ( r1(X0, sk_Y_6(X0)) 1.81/1.99 | ~ r1(sk_Y_5(sk_X_11(sk_Y_1)), X0) 1.81/1.99 | r1(sk_X_11(sk_Y_1), sk_Y_7(sk_X_11(sk_Y_1)))), 1.81/1.99 inference('sup-', [status(thm)], ['81', '84'])). 1.81/1.99 tff('86', plain, 1.81/1.99 ( r1(sk_Y_1, sk_X_8(sk_Y_1)) 1.81/1.99 | r1(sk_X_11(sk_Y_1), sk_Y_7(sk_X_11(sk_Y_1))) 1.81/1.99 | r1(sk_X_14(sk_Y_5(sk_X_11(sk_Y_1))), 1.81/1.99 sk_Y_6(sk_X_14(sk_Y_5(sk_X_11(sk_Y_1)))))), 1.81/1.99 inference('sup-', [status(thm)], ['80', '85'])). 1.81/1.99 tff('87', plain, 1.81/1.99 ( r1(sk_Y_1, sk_X_8(sk_Y_1)) 1.81/1.99 | r1(sk_X_11(sk_Y_1), sk_Y_5(sk_X_11(sk_Y_1)))), 1.81/1.99 inference('clc', [status(thm)], ['36', '43'])). 1.81/1.99 tff('88', plain, r1(sk_X_11(sk_Y_1), sk_Y_2(sk_X_11(sk_Y_1))), 1.81/1.99 inference('sup-', [status(thm)], ['45', '46'])). 1.81/1.99 tff('89', plain, r1(sk_Y_1, sk_X_11(sk_Y_1)), 1.81/1.99 inference('clc', [status(thm)], ['11', '16'])). 1.81/1.99 tff('90', plain, r1(sk_X, sk_Y_1), 1.81/1.99 inference('cnf', [status(esa)], [zf_stmt_0])). 1.81/1.99 tff('91', plain, 1.81/1.99 ![X0, X9, X10, X11, X12]: 1.81/1.99 (~ r1(sk_X, X0) 1.81/1.99 | p2(X9) 1.81/1.99 | ~ r1(X10, X9) 1.81/1.99 | ~ p2(X12) 1.81/1.99 | ~ r1(sk_X_14(X11), X12) 1.81/1.99 | ~ r1(X10, X11) 1.81/1.99 | ~ p2(X10) 1.81/1.99 | ~ r1(X0, X10)), 1.81/1.99 inference('cnf', [status(esa)], [zf_stmt_0])). 1.81/1.99 tff('92', plain, 1.81/1.99 ![X0, X1, X2, X3]: 1.81/1.99 (~ r1(sk_Y_1, X0) 1.81/1.99 | ~ p2(X0) 1.81/1.99 | ~ r1(X0, X1) 1.81/1.99 | ~ r1(sk_X_14(X1), X2) 1.81/1.99 | ~ p2(X2) 1.81/1.99 | ~ r1(X0, X3) 1.81/1.99 | p2(X3)), 1.81/1.99 inference('sup-', [status(thm)], ['90', '91'])). 1.81/1.99 tff('93', plain, 1.81/1.99 ![X0, X1, X2]: 1.81/1.99 ( p2(X0) 1.81/1.99 | ~ r1(sk_X_11(sk_Y_1), X0) 1.81/1.99 | ~ p2(X1) 1.81/1.99 | ~ r1(sk_X_14(X2), X1) 1.81/1.99 | ~ r1(sk_X_11(sk_Y_1), X2) 1.81/1.99 | ~ p2(sk_X_11(sk_Y_1))), 1.81/1.99 inference('sup-', [status(thm)], ['89', '92'])). 1.81/1.99 tff('94', plain, p2(sk_X_11(sk_Y_1)), 1.81/1.99 inference('clc', [status(thm)], ['62', '65'])). 1.81/1.99 tff('95', plain, 1.81/1.99 ![X0, X1, X2]: 1.81/1.99 ( p2(X0) 1.81/1.99 | ~ r1(sk_X_11(sk_Y_1), X0) 1.81/1.99 | ~ p2(X1) 1.81/1.99 | ~ r1(sk_X_14(X2), X1) 1.81/1.99 | ~ r1(sk_X_11(sk_Y_1), X2)), 1.81/1.99 inference('demod', [status(thm)], ['93', '94'])). 1.81/1.99 tff('96', plain, 1.81/1.99 ![X0, X1]: 1.81/1.99 (~ r1(sk_X_11(sk_Y_1), X0) 1.81/1.99 | ~ r1(sk_X_14(X0), X1) 1.81/1.99 | ~ p2(X1) 1.81/1.99 | p2(sk_Y_2(sk_X_11(sk_Y_1)))), 1.81/1.99 inference('sup-', [status(thm)], ['88', '95'])). 1.81/1.99 tff('97', plain, 1.81/1.99 ![X0]: 1.81/1.99 ( r1(sk_Y_1, sk_X_8(sk_Y_1)) 1.81/1.99 | p2(sk_Y_2(sk_X_11(sk_Y_1))) 1.81/1.99 | ~ p2(X0) 1.81/1.99 | ~ r1(sk_X_14(sk_Y_5(sk_X_11(sk_Y_1))), X0)), 1.81/1.99 inference('sup-', [status(thm)], ['87', '96'])). 1.81/1.99 tff('98', plain, 1.81/1.99 ( r1(sk_X_11(sk_Y_1), sk_Y_7(sk_X_11(sk_Y_1))) 1.81/1.99 | r1(sk_Y_1, sk_X_8(sk_Y_1)) 1.81/1.99 | ~ p2(sk_Y_6(sk_X_14(sk_Y_5(sk_X_11(sk_Y_1))))) 1.81/1.99 | p2(sk_Y_2(sk_X_11(sk_Y_1))) 1.81/1.99 | r1(sk_Y_1, sk_X_8(sk_Y_1))), 1.81/1.99 inference('sup-', [status(thm)], ['86', '97'])). 1.81/1.99 tff('99', plain, 1.81/1.99 ( p2(sk_Y_2(sk_X_11(sk_Y_1))) 1.81/1.99 | ~ p2(sk_Y_6(sk_X_14(sk_Y_5(sk_X_11(sk_Y_1))))) 1.81/1.99 | r1(sk_Y_1, sk_X_8(sk_Y_1)) 1.81/1.99 | r1(sk_X_11(sk_Y_1), sk_Y_7(sk_X_11(sk_Y_1)))), 1.81/1.99 inference('simplify', [status(thm)], ['98'])). 1.81/1.99 tff('100', plain, 1.81/1.99 ( r1(sk_X_11(sk_Y_1), sk_Y_7(sk_X_11(sk_Y_1))) 1.81/1.99 | r1(sk_Y_1, sk_X_8(sk_Y_1)) 1.81/1.99 | r1(sk_X_11(sk_Y_1), sk_Y_7(sk_X_11(sk_Y_1))) 1.81/1.99 | r1(sk_Y_1, sk_X_8(sk_Y_1)) 1.81/1.99 | p2(sk_Y_2(sk_X_11(sk_Y_1)))), 1.81/1.99 inference('sup-', [status(thm)], ['79', '99'])). 1.81/1.99 tff('101', plain, 1.81/1.99 ( p2(sk_Y_2(sk_X_11(sk_Y_1))) 1.81/1.99 | r1(sk_Y_1, sk_X_8(sk_Y_1)) 1.81/1.99 | r1(sk_X_11(sk_Y_1), sk_Y_7(sk_X_11(sk_Y_1)))), 1.81/1.99 inference('simplify', [status(thm)], ['100'])). 1.81/1.99 tff('102', plain, ~ p2(sk_Y_2(sk_X_11(sk_Y_1))), 1.81/1.99 inference('sup-', [status(thm)], ['69', '70'])). 1.81/1.99 tff('103', plain, 1.81/1.99 ( r1(sk_X_11(sk_Y_1), sk_Y_7(sk_X_11(sk_Y_1))) 1.81/1.99 | r1(sk_Y_1, sk_X_8(sk_Y_1))), 1.81/1.99 inference('clc', [status(thm)], ['101', '102'])). 1.81/1.99 tff('104', plain, 1.81/1.99 ![X0]: 1.81/1.99 ( r1(sk_Y_1, sk_X_8(sk_Y_1)) 1.81/1.99 | r1(X0, sk_X_9(X0)) 1.81/1.99 | ~ r1(sk_X_11(sk_Y_1), X0)), 1.81/1.99 inference('sup-', [status(thm)], ['24', '27'])). 1.81/1.99 tff('105', plain, 1.81/1.99 ( r1(sk_Y_1, sk_X_8(sk_Y_1)) 1.81/1.99 | r1(sk_Y_7(sk_X_11(sk_Y_1)), sk_X_9(sk_Y_7(sk_X_11(sk_Y_1)))) 1.81/1.99 | r1(sk_Y_1, sk_X_8(sk_Y_1))), 1.81/1.99 inference('sup-', [status(thm)], ['103', '104'])). 1.81/1.99 tff('106', plain, 1.81/1.99 ( r1(sk_Y_7(sk_X_11(sk_Y_1)), sk_X_9(sk_Y_7(sk_X_11(sk_Y_1)))) 1.81/1.99 | r1(sk_Y_1, sk_X_8(sk_Y_1))), 1.81/1.99 inference('simplify', [status(thm)], ['105'])). 1.81/1.99 tff('107', plain, 1.81/1.99 ( r1(sk_Y_1, sk_X_8(sk_Y_1)) 1.81/1.99 | r1(sk_Y_5(sk_X_11(sk_Y_1)), sk_X_14(sk_Y_5(sk_X_11(sk_Y_1))))), 1.81/1.99 inference('sup-', [status(thm)], ['44', '72'])). 1.81/1.99 tff('108', plain, r1(sk_Y_1, sk_X_11(sk_Y_1)), 1.81/1.99 inference('clc', [status(thm)], ['11', '16'])). 1.81/1.99 tff('109', plain, r1(sk_X, sk_Y_1), 1.81/1.99 inference('cnf', [status(esa)], [zf_stmt_0])). 1.81/1.99 tff('110', plain, 1.81/1.99 ![X0, X5, X6, X7]: 1.81/1.99 (~ r1(sk_X, X0) 1.81/1.99 | r1(X5, sk_Y_6(X5)) 1.81/1.99 | ~ r1(sk_Y_5(X6), X5) 1.81/1.99 | ~ p2(X7) 1.81/1.99 | ~ r1(sk_Y_7(X6), X7) 1.81/1.99 | ~ r1(X0, X6)), 1.81/1.99 inference('cnf', [status(esa)], [zf_stmt_0])). 1.81/1.99 tff('111', plain, 1.81/1.99 ![X0, X1, X2]: 1.81/1.99 (~ r1(sk_Y_1, X0) 1.81/1.99 | ~ r1(sk_Y_7(X0), X1) 1.81/1.99 | ~ p2(X1) 1.81/1.99 | ~ r1(sk_Y_5(X0), X2) 1.81/1.99 | r1(X2, sk_Y_6(X2))), 1.81/1.99 inference('sup-', [status(thm)], ['109', '110'])). 1.81/1.99 tff('112', plain, 1.81/1.99 ![X0, X1]: 1.81/1.99 ( r1(X0, sk_Y_6(X0)) 1.81/1.99 | ~ r1(sk_Y_5(sk_X_11(sk_Y_1)), X0) 1.81/1.99 | ~ p2(X1) 1.81/1.99 | ~ r1(sk_Y_7(sk_X_11(sk_Y_1)), X1)), 1.81/1.99 inference('sup-', [status(thm)], ['108', '111'])). 1.81/1.99 tff('113', plain, 1.81/1.99 ![X0]: 1.81/1.99 ( r1(sk_Y_1, sk_X_8(sk_Y_1)) 1.81/1.99 | ~ r1(sk_Y_7(sk_X_11(sk_Y_1)), X0) 1.81/1.99 | ~ p2(X0) 1.81/1.99 | r1(sk_X_14(sk_Y_5(sk_X_11(sk_Y_1))), 1.81/1.99 sk_Y_6(sk_X_14(sk_Y_5(sk_X_11(sk_Y_1)))))), 1.81/1.99 inference('sup-', [status(thm)], ['107', '112'])). 1.81/1.99 tff('114', plain, 1.81/1.99 ( r1(sk_Y_1, sk_X_8(sk_Y_1)) 1.81/1.99 | r1(sk_X_14(sk_Y_5(sk_X_11(sk_Y_1))), 1.81/1.99 sk_Y_6(sk_X_14(sk_Y_5(sk_X_11(sk_Y_1))))) 1.81/1.99 | ~ p2(sk_X_9(sk_Y_7(sk_X_11(sk_Y_1)))) 1.81/1.99 | r1(sk_Y_1, sk_X_8(sk_Y_1))), 1.81/1.99 inference('sup-', [status(thm)], ['106', '113'])). 1.81/1.99 tff('115', plain, 1.81/1.99 (~ p2(sk_X_9(sk_Y_7(sk_X_11(sk_Y_1)))) 1.81/1.99 | r1(sk_X_14(sk_Y_5(sk_X_11(sk_Y_1))), 1.81/1.99 sk_Y_6(sk_X_14(sk_Y_5(sk_X_11(sk_Y_1))))) 1.81/1.99 | r1(sk_Y_1, sk_X_8(sk_Y_1))), 1.81/1.99 inference('simplify', [status(thm)], ['114'])). 1.81/1.99 tff('116', plain, 1.81/1.99 ( r1(sk_X_11(sk_Y_1), sk_Y_7(sk_X_11(sk_Y_1))) 1.81/1.99 | r1(sk_Y_1, sk_X_8(sk_Y_1))), 1.81/1.99 inference('clc', [status(thm)], ['101', '102'])). 1.81/1.99 tff('117', plain, 1.81/1.99 ![X0]: 1.81/1.99 ( r1(sk_Y_1, sk_X_8(sk_Y_1)) 1.81/1.99 | p2(sk_X_9(X0)) 1.81/1.99 | ~ r1(sk_X_11(sk_Y_1), X0)), 1.81/1.99 inference('sup-', [status(thm)], ['38', '41'])). 1.81/1.99 tff('118', plain, 1.81/1.99 ( r1(sk_Y_1, sk_X_8(sk_Y_1)) 1.81/1.99 | p2(sk_X_9(sk_Y_7(sk_X_11(sk_Y_1)))) 1.81/1.99 | r1(sk_Y_1, sk_X_8(sk_Y_1))), 1.81/1.99 inference('sup-', [status(thm)], ['116', '117'])). 1.81/1.99 tff('119', plain, 1.81/1.99 ( p2(sk_X_9(sk_Y_7(sk_X_11(sk_Y_1)))) | r1(sk_Y_1, sk_X_8(sk_Y_1))), 1.81/1.99 inference('simplify', [status(thm)], ['118'])). 1.81/1.99 tff('120', plain, 1.81/1.99 ( r1(sk_Y_1, sk_X_8(sk_Y_1)) 1.81/1.99 | r1(sk_X_14(sk_Y_5(sk_X_11(sk_Y_1))), 1.81/1.99 sk_Y_6(sk_X_14(sk_Y_5(sk_X_11(sk_Y_1)))))), 1.81/1.99 inference('clc', [status(thm)], ['115', '119'])). 1.81/1.99 tff('121', plain, 1.81/1.99 ![X0]: 1.81/1.99 ( r1(sk_Y_1, sk_X_8(sk_Y_1)) 1.81/1.99 | p2(sk_Y_2(sk_X_11(sk_Y_1))) 1.81/1.99 | ~ p2(X0) 1.81/1.99 | ~ r1(sk_X_14(sk_Y_5(sk_X_11(sk_Y_1))), X0)), 1.81/1.99 inference('sup-', [status(thm)], ['87', '96'])). 1.81/1.99 tff('122', plain, 1.81/1.99 ( r1(sk_Y_1, sk_X_8(sk_Y_1)) 1.81/1.99 | ~ p2(sk_Y_6(sk_X_14(sk_Y_5(sk_X_11(sk_Y_1))))) 1.81/1.99 | p2(sk_Y_2(sk_X_11(sk_Y_1))) 1.81/1.99 | r1(sk_Y_1, sk_X_8(sk_Y_1))), 1.81/1.99 inference('sup-', [status(thm)], ['120', '121'])). 1.81/1.99 tff('123', plain, 1.81/1.99 ( p2(sk_Y_2(sk_X_11(sk_Y_1))) 1.81/1.99 | ~ p2(sk_Y_6(sk_X_14(sk_Y_5(sk_X_11(sk_Y_1))))) 1.81/1.99 | r1(sk_Y_1, sk_X_8(sk_Y_1))), 1.81/1.99 inference('simplify', [status(thm)], ['122'])). 1.81/1.99 tff('124', plain, ~ p2(sk_Y_2(sk_X_11(sk_Y_1))), 1.81/1.99 inference('sup-', [status(thm)], ['69', '70'])). 1.81/1.99 tff('125', plain, 1.81/1.99 ( r1(sk_Y_1, sk_X_8(sk_Y_1)) 1.81/1.99 | ~ p2(sk_Y_6(sk_X_14(sk_Y_5(sk_X_11(sk_Y_1)))))), 1.81/1.99 inference('clc', [status(thm)], ['123', '124'])). 1.81/1.99 tff('126', plain, 1.81/1.99 ( r1(sk_Y_7(sk_X_11(sk_Y_1)), sk_X_9(sk_Y_7(sk_X_11(sk_Y_1)))) 1.81/1.99 | r1(sk_Y_1, sk_X_8(sk_Y_1))), 1.81/1.99 inference('simplify', [status(thm)], ['105'])). 1.81/1.99 tff('127', plain, 1.81/1.99 ( r1(sk_Y_1, sk_X_8(sk_Y_1)) 1.81/1.99 | r1(sk_Y_5(sk_X_11(sk_Y_1)), sk_X_14(sk_Y_5(sk_X_11(sk_Y_1))))), 1.81/1.99 inference('sup-', [status(thm)], ['44', '72'])). 1.81/1.99 tff('128', plain, r1(sk_Y_1, sk_X_11(sk_Y_1)), 1.81/1.99 inference('clc', [status(thm)], ['11', '16'])). 1.81/1.99 tff('129', plain, r1(sk_X, sk_Y_1), 1.81/1.99 inference('cnf', [status(esa)], [zf_stmt_0])). 1.81/1.99 tff('130', plain, 1.81/1.99 ![X0, X5, X6, X7]: 1.81/1.99 (~ r1(sk_X, X0) 1.81/1.99 | p2(sk_Y_6(X5)) 1.81/1.99 | ~ r1(sk_Y_5(X6), X5) 1.81/1.99 | ~ p2(X7) 1.81/1.99 | ~ r1(sk_Y_7(X6), X7) 1.81/1.99 | ~ r1(X0, X6)), 1.81/1.99 inference('cnf', [status(esa)], [zf_stmt_0])). 1.81/1.99 tff('131', plain, 1.81/1.99 ![X0, X1, X2]: 1.81/1.99 (~ r1(sk_Y_1, X0) 1.81/1.99 | ~ r1(sk_Y_7(X0), X1) 1.81/1.99 | ~ p2(X1) 1.81/1.99 | ~ r1(sk_Y_5(X0), X2) 1.81/1.99 | p2(sk_Y_6(X2))), 1.81/1.99 inference('sup-', [status(thm)], ['129', '130'])). 1.81/1.99 tff('132', plain, 1.81/1.99 ![X0, X1]: 1.81/1.99 ( p2(sk_Y_6(X0)) 1.81/1.99 | ~ r1(sk_Y_5(sk_X_11(sk_Y_1)), X0) 1.81/1.99 | ~ p2(X1) 1.81/1.99 | ~ r1(sk_Y_7(sk_X_11(sk_Y_1)), X1)), 1.81/1.99 inference('sup-', [status(thm)], ['128', '131'])). 1.81/1.99 tff('133', plain, 1.81/1.99 ![X0]: 1.81/1.99 ( r1(sk_Y_1, sk_X_8(sk_Y_1)) 1.81/1.99 | ~ r1(sk_Y_7(sk_X_11(sk_Y_1)), X0) 1.81/1.99 | ~ p2(X0) 1.81/1.99 | p2(sk_Y_6(sk_X_14(sk_Y_5(sk_X_11(sk_Y_1)))))), 1.81/1.99 inference('sup-', [status(thm)], ['127', '132'])). 1.81/1.99 tff('134', plain, 1.81/1.99 ( r1(sk_Y_1, sk_X_8(sk_Y_1)) 1.81/1.99 | p2(sk_Y_6(sk_X_14(sk_Y_5(sk_X_11(sk_Y_1))))) 1.81/1.99 | ~ p2(sk_X_9(sk_Y_7(sk_X_11(sk_Y_1)))) 1.81/1.99 | r1(sk_Y_1, sk_X_8(sk_Y_1))), 1.81/1.99 inference('sup-', [status(thm)], ['126', '133'])). 1.81/1.99 tff('135', plain, 1.81/1.99 (~ p2(sk_X_9(sk_Y_7(sk_X_11(sk_Y_1)))) 1.81/1.99 | p2(sk_Y_6(sk_X_14(sk_Y_5(sk_X_11(sk_Y_1))))) 1.81/1.99 | r1(sk_Y_1, sk_X_8(sk_Y_1))), 1.81/1.99 inference('simplify', [status(thm)], ['134'])). 1.81/1.99 tff('136', plain, 1.81/1.99 ( p2(sk_X_9(sk_Y_7(sk_X_11(sk_Y_1)))) | r1(sk_Y_1, sk_X_8(sk_Y_1))), 1.81/1.99 inference('simplify', [status(thm)], ['118'])). 1.81/1.99 tff('137', plain, 1.81/1.99 ( r1(sk_Y_1, sk_X_8(sk_Y_1)) 1.81/1.99 | p2(sk_Y_6(sk_X_14(sk_Y_5(sk_X_11(sk_Y_1)))))), 1.81/1.99 inference('clc', [status(thm)], ['135', '136'])). 1.81/1.99 tff('138', plain, r1(sk_Y_1, sk_X_8(sk_Y_1)), 1.81/1.99 inference('clc', [status(thm)], ['125', '137'])). 1.81/1.99 tff('139', plain, ![X0]: ( r1(X0, sk_Y_3(X0)) | ~ r1(sk_Y_1, X0)), 1.81/1.99 inference('sup-', [status(thm)], ['3', '4'])). 1.81/1.99 tff('140', plain, r1(sk_X_8(sk_Y_1), sk_Y_3(sk_X_8(sk_Y_1))), 1.81/1.99 inference('sup-', [status(thm)], ['138', '139'])). 1.81/1.99 tff('141', plain, r1(sk_X, sk_Y_1), 1.81/1.99 inference('cnf', [status(esa)], [zf_stmt_0])). 1.81/1.99 tff('142', plain, 1.81/1.99 ![X0, X2, X3, X4]: 1.81/1.99 (~ r1(sk_X, X0) 1.81/1.99 | ~ p2(X4) 1.81/1.99 | ~ r1(sk_X_8(X0), X4) 1.81/1.99 | r1(X2, sk_X_9(X2)) 1.81/1.99 | ~ r1(X3, X2) 1.81/1.99 | ~ r1(X0, X3)), 1.81/1.99 inference('cnf', [status(esa)], [zf_stmt_0])). 1.81/1.99 tff('143', plain, 1.81/1.99 ![X0, X1, X2]: 1.81/1.99 (~ r1(sk_Y_1, X0) 1.81/1.99 | ~ r1(X0, X1) 1.81/1.99 | r1(X1, sk_X_9(X1)) 1.81/1.99 | ~ r1(sk_X_8(sk_Y_1), X2) 1.81/1.99 | ~ p2(X2)), 1.81/1.99 inference('sup-', [status(thm)], ['141', '142'])). 1.81/1.99 tff('144', plain, 1.81/1.99 ![X0, X1]: 1.81/1.99 (~ p2(sk_Y_3(sk_X_8(sk_Y_1))) 1.81/1.99 | r1(X0, sk_X_9(X0)) 1.81/1.99 | ~ r1(X1, X0) 1.81/1.99 | ~ r1(sk_Y_1, X1)), 1.81/1.99 inference('sup-', [status(thm)], ['140', '143'])). 1.81/1.99 tff('145', plain, r1(sk_Y_1, sk_X_8(sk_Y_1)), 1.81/1.99 inference('clc', [status(thm)], ['125', '137'])). 1.81/1.99 tff('146', plain, ![X0]: ( p2(sk_Y_3(X0)) | ~ r1(sk_Y_1, X0)), 1.81/1.99 inference('sup-', [status(thm)], ['13', '14'])). 1.81/1.99 tff('147', plain, p2(sk_Y_3(sk_X_8(sk_Y_1))), 1.81/1.99 inference('sup-', [status(thm)], ['145', '146'])). 1.81/1.99 tff('148', plain, 1.81/1.99 ![X0, X1]: ( r1(X0, sk_X_9(X0)) | ~ r1(X1, X0) | ~ r1(sk_Y_1, X1)), 1.81/1.99 inference('demod', [status(thm)], ['144', '147'])). 1.81/1.99 tff('149', plain, ![X0]: (~ r1(sk_X_11(sk_Y_1), X0) | r1(X0, sk_X_9(X0))), 1.81/1.99 inference('sup-', [status(thm)], ['22', '148'])). 1.81/1.99 tff('150', plain, 1.81/1.99 ( r1(sk_X_11(sk_Y_1), sk_Y_5(sk_X_11(sk_Y_1))) 1.81/1.99 | r1(sk_Y_7(sk_X_11(sk_Y_1)), sk_X_9(sk_Y_7(sk_X_11(sk_Y_1))))), 1.81/1.99 inference('sup-', [status(thm)], ['21', '149'])). 1.81/1.99 tff('151', plain, 1.81/1.99 ![X0]: 1.81/1.99 ( r1(sk_X_11(sk_Y_1), sk_Y_5(sk_X_11(sk_Y_1))) 1.81/1.99 | ~ p2(X0) 1.81/1.99 | ~ r1(sk_Y_7(sk_X_11(sk_Y_1)), X0)), 1.81/1.99 inference('sup-', [status(thm)], ['30', '33'])). 1.81/1.99 tff('152', plain, 1.81/1.99 ( r1(sk_X_11(sk_Y_1), sk_Y_5(sk_X_11(sk_Y_1))) 1.81/1.99 | ~ p2(sk_X_9(sk_Y_7(sk_X_11(sk_Y_1)))) 1.81/1.99 | r1(sk_X_11(sk_Y_1), sk_Y_5(sk_X_11(sk_Y_1)))), 1.81/1.99 inference('sup-', [status(thm)], ['150', '151'])). 1.81/1.99 tff('153', plain, 1.81/1.99 (~ p2(sk_X_9(sk_Y_7(sk_X_11(sk_Y_1)))) 1.81/1.99 | r1(sk_X_11(sk_Y_1), sk_Y_5(sk_X_11(sk_Y_1)))), 1.81/1.99 inference('simplify', [status(thm)], ['152'])). 1.81/1.99 tff('154', plain, 1.81/1.99 ( r1(sk_X_11(sk_Y_1), sk_Y_5(sk_X_11(sk_Y_1))) 1.81/1.99 | r1(sk_X_11(sk_Y_1), sk_Y_7(sk_X_11(sk_Y_1)))), 1.81/1.99 inference('sup-', [status(thm)], ['17', '20'])). 1.81/1.99 tff('155', plain, r1(sk_Y_1, sk_X_11(sk_Y_1)), 1.81/1.99 inference('clc', [status(thm)], ['11', '16'])). 1.81/1.99 tff('156', plain, r1(sk_X_8(sk_Y_1), sk_Y_3(sk_X_8(sk_Y_1))), 1.81/1.99 inference('sup-', [status(thm)], ['138', '139'])). 1.81/1.99 tff('157', plain, r1(sk_X, sk_Y_1), 1.81/1.99 inference('cnf', [status(esa)], [zf_stmt_0])). 1.81/1.99 tff('158', plain, 1.81/1.99 ![X0, X2, X3, X4]: 1.81/1.99 (~ r1(sk_X, X0) 1.81/1.99 | ~ p2(X4) 1.81/1.99 | ~ r1(sk_X_8(X0), X4) 1.81/1.99 | p2(sk_X_9(X2)) 1.81/1.99 | ~ r1(X3, X2) 1.81/1.99 | ~ r1(X0, X3)), 1.81/1.99 inference('cnf', [status(esa)], [zf_stmt_0])). 1.81/1.99 tff('159', plain, 1.81/1.99 ![X0, X1, X2]: 1.81/1.99 (~ r1(sk_Y_1, X0) 1.81/1.99 | ~ r1(X0, X1) 1.81/1.99 | p2(sk_X_9(X1)) 1.81/1.99 | ~ r1(sk_X_8(sk_Y_1), X2) 1.81/1.99 | ~ p2(X2)), 1.81/1.99 inference('sup-', [status(thm)], ['157', '158'])). 1.81/1.99 tff('160', plain, 1.81/1.99 ![X0, X1]: 1.81/1.99 (~ p2(sk_Y_3(sk_X_8(sk_Y_1))) 1.81/1.99 | p2(sk_X_9(X0)) 1.81/1.99 | ~ r1(X1, X0) 1.81/1.99 | ~ r1(sk_Y_1, X1)), 1.81/1.99 inference('sup-', [status(thm)], ['156', '159'])). 1.81/1.99 tff('161', plain, p2(sk_Y_3(sk_X_8(sk_Y_1))), 1.81/1.99 inference('sup-', [status(thm)], ['145', '146'])). 1.81/1.99 tff('162', plain, 1.81/1.99 ![X0, X1]: ( p2(sk_X_9(X0)) | ~ r1(X1, X0) | ~ r1(sk_Y_1, X1)), 1.81/1.99 inference('demod', [status(thm)], ['160', '161'])). 1.81/1.99 tff('163', plain, ![X0]: (~ r1(sk_X_11(sk_Y_1), X0) | p2(sk_X_9(X0))), 1.81/1.99 inference('sup-', [status(thm)], ['155', '162'])). 1.81/1.99 tff('164', plain, 1.81/1.99 ( r1(sk_X_11(sk_Y_1), sk_Y_5(sk_X_11(sk_Y_1))) 1.81/1.99 | p2(sk_X_9(sk_Y_7(sk_X_11(sk_Y_1))))), 1.81/1.99 inference('sup-', [status(thm)], ['154', '163'])). 1.81/1.99 tff('165', plain, r1(sk_X_11(sk_Y_1), sk_Y_5(sk_X_11(sk_Y_1))), 1.81/1.99 inference('clc', [status(thm)], ['153', '164'])). 1.81/1.99 tff('166', plain, ![X0]: ( r1(X0, sk_X_14(X0)) | ~ r1(sk_X_11(sk_Y_1), X0)), 1.81/1.99 inference('clc', [status(thm)], ['68', '71'])). 1.81/1.99 tff('167', plain, 1.81/1.99 r1(sk_Y_5(sk_X_11(sk_Y_1)), sk_X_14(sk_Y_5(sk_X_11(sk_Y_1)))), 1.81/1.99 inference('sup-', [status(thm)], ['165', '166'])). 1.81/1.99 tff('168', plain, 1.81/1.99 ![X0]: 1.81/1.99 ( r1(X0, sk_Y_6(X0)) 1.81/1.99 | ~ r1(sk_Y_5(sk_X_11(sk_Y_1)), X0) 1.81/1.99 | r1(sk_X_11(sk_Y_1), sk_Y_7(sk_X_11(sk_Y_1)))), 1.81/1.99 inference('sup-', [status(thm)], ['81', '84'])). 1.81/1.99 tff('169', plain, 1.81/1.99 ( r1(sk_X_11(sk_Y_1), sk_Y_7(sk_X_11(sk_Y_1))) 1.81/1.99 | r1(sk_X_14(sk_Y_5(sk_X_11(sk_Y_1))), 1.81/1.99 sk_Y_6(sk_X_14(sk_Y_5(sk_X_11(sk_Y_1)))))), 1.81/1.99 inference('sup-', [status(thm)], ['167', '168'])). 1.81/1.99 tff('170', plain, r1(sk_X_11(sk_Y_1), sk_Y_5(sk_X_11(sk_Y_1))), 1.81/1.99 inference('clc', [status(thm)], ['153', '164'])). 1.81/1.99 tff('171', plain, 1.81/1.99 ![X0, X1]: 1.81/1.99 (~ r1(sk_X_11(sk_Y_1), X0) 1.81/1.99 | ~ r1(sk_X_14(X0), X1) 1.81/1.99 | ~ p2(X1) 1.81/1.99 | p2(sk_Y_2(sk_X_11(sk_Y_1)))), 1.81/1.99 inference('sup-', [status(thm)], ['88', '95'])). 1.81/1.99 tff('172', plain, 1.81/1.99 ![X0]: 1.81/1.99 ( p2(sk_Y_2(sk_X_11(sk_Y_1))) 1.81/1.99 | ~ p2(X0) 1.81/1.99 | ~ r1(sk_X_14(sk_Y_5(sk_X_11(sk_Y_1))), X0)), 1.81/1.99 inference('sup-', [status(thm)], ['170', '171'])). 1.81/1.99 tff('173', plain, ~ p2(sk_Y_2(sk_X_11(sk_Y_1))), 1.81/1.99 inference('sup-', [status(thm)], ['69', '70'])). 1.81/1.99 tff('174', plain, 1.81/1.99 ![X0]: (~ r1(sk_X_14(sk_Y_5(sk_X_11(sk_Y_1))), X0) | ~ p2(X0)), 1.81/1.99 inference('clc', [status(thm)], ['172', '173'])). 1.81/1.99 tff('175', plain, 1.81/1.99 ( r1(sk_X_11(sk_Y_1), sk_Y_7(sk_X_11(sk_Y_1))) 1.81/1.99 | ~ p2(sk_Y_6(sk_X_14(sk_Y_5(sk_X_11(sk_Y_1)))))), 1.81/1.99 inference('sup-', [status(thm)], ['169', '174'])). 1.81/1.99 tff('176', plain, 1.81/1.99 r1(sk_Y_5(sk_X_11(sk_Y_1)), sk_X_14(sk_Y_5(sk_X_11(sk_Y_1)))), 1.81/1.99 inference('sup-', [status(thm)], ['165', '166'])). 1.81/1.99 tff('177', plain, 1.81/1.99 ![X0]: 1.81/1.99 ( p2(sk_Y_6(X0)) 1.81/1.99 | ~ r1(sk_Y_5(sk_X_11(sk_Y_1)), X0) 1.81/1.99 | r1(sk_X_11(sk_Y_1), sk_Y_7(sk_X_11(sk_Y_1)))), 1.81/1.99 inference('sup-', [status(thm)], ['74', '77'])). 1.81/1.99 tff('178', plain, 1.81/1.99 ( r1(sk_X_11(sk_Y_1), sk_Y_7(sk_X_11(sk_Y_1))) 1.81/1.99 | p2(sk_Y_6(sk_X_14(sk_Y_5(sk_X_11(sk_Y_1)))))), 1.81/1.99 inference('sup-', [status(thm)], ['176', '177'])). 1.81/1.99 tff('179', plain, r1(sk_X_11(sk_Y_1), sk_Y_7(sk_X_11(sk_Y_1))), 1.81/1.99 inference('clc', [status(thm)], ['175', '178'])). 1.81/1.99 tff('180', plain, ![X0]: (~ r1(sk_X_11(sk_Y_1), X0) | r1(X0, sk_X_9(X0))), 1.81/1.99 inference('sup-', [status(thm)], ['22', '148'])). 1.81/1.99 tff('181', plain, 1.81/1.99 r1(sk_Y_7(sk_X_11(sk_Y_1)), sk_X_9(sk_Y_7(sk_X_11(sk_Y_1)))), 1.81/1.99 inference('sup-', [status(thm)], ['179', '180'])). 1.81/1.99 tff('182', plain, 1.81/1.99 r1(sk_Y_5(sk_X_11(sk_Y_1)), sk_X_14(sk_Y_5(sk_X_11(sk_Y_1)))), 1.81/1.99 inference('sup-', [status(thm)], ['165', '166'])). 1.81/1.99 tff('183', plain, 1.81/1.99 ![X0, X1]: 1.81/1.99 ( r1(X0, sk_Y_6(X0)) 1.81/1.99 | ~ r1(sk_Y_5(sk_X_11(sk_Y_1)), X0) 1.81/1.99 | ~ p2(X1) 1.81/1.99 | ~ r1(sk_Y_7(sk_X_11(sk_Y_1)), X1)), 1.81/1.99 inference('sup-', [status(thm)], ['108', '111'])). 1.81/1.99 tff('184', plain, 1.81/1.99 ![X0]: 1.81/1.99 (~ r1(sk_Y_7(sk_X_11(sk_Y_1)), X0) 1.81/1.99 | ~ p2(X0) 1.81/1.99 | r1(sk_X_14(sk_Y_5(sk_X_11(sk_Y_1))), 1.81/1.99 sk_Y_6(sk_X_14(sk_Y_5(sk_X_11(sk_Y_1)))))), 1.81/1.99 inference('sup-', [status(thm)], ['182', '183'])). 1.81/1.99 tff('185', plain, 1.81/1.99 ( r1(sk_X_14(sk_Y_5(sk_X_11(sk_Y_1))), 1.81/1.99 sk_Y_6(sk_X_14(sk_Y_5(sk_X_11(sk_Y_1))))) 1.81/1.99 | ~ p2(sk_X_9(sk_Y_7(sk_X_11(sk_Y_1))))), 1.81/1.99 inference('sup-', [status(thm)], ['181', '184'])). 1.81/1.99 tff('186', plain, r1(sk_X_11(sk_Y_1), sk_Y_7(sk_X_11(sk_Y_1))), 1.81/1.99 inference('clc', [status(thm)], ['175', '178'])). 1.81/1.99 tff('187', plain, ![X0]: (~ r1(sk_X_11(sk_Y_1), X0) | p2(sk_X_9(X0))), 1.81/1.99 inference('sup-', [status(thm)], ['155', '162'])). 1.81/1.99 tff('188', plain, p2(sk_X_9(sk_Y_7(sk_X_11(sk_Y_1)))), 1.81/1.99 inference('sup-', [status(thm)], ['186', '187'])). 1.81/1.99 tff('189', plain, 1.81/1.99 r1(sk_X_14(sk_Y_5(sk_X_11(sk_Y_1))), 1.81/1.99 sk_Y_6(sk_X_14(sk_Y_5(sk_X_11(sk_Y_1))))), 1.81/1.99 inference('demod', [status(thm)], ['185', '188'])). 1.81/1.99 tff('190', plain, 1.81/1.99 ![X0]: (~ r1(sk_X_14(sk_Y_5(sk_X_11(sk_Y_1))), X0) | ~ p2(X0)), 1.81/1.99 inference('clc', [status(thm)], ['172', '173'])). 1.81/1.99 tff('191', plain, ~ p2(sk_Y_6(sk_X_14(sk_Y_5(sk_X_11(sk_Y_1))))), 1.81/1.99 inference('sup-', [status(thm)], ['189', '190'])). 1.81/1.99 tff('192', plain, 1.81/1.99 r1(sk_Y_7(sk_X_11(sk_Y_1)), sk_X_9(sk_Y_7(sk_X_11(sk_Y_1)))), 1.81/1.99 inference('sup-', [status(thm)], ['179', '180'])). 1.81/1.99 tff('193', plain, 1.81/1.99 r1(sk_Y_5(sk_X_11(sk_Y_1)), sk_X_14(sk_Y_5(sk_X_11(sk_Y_1)))), 1.81/1.99 inference('sup-', [status(thm)], ['165', '166'])). 1.81/1.99 tff('194', plain, 1.81/1.99 ![X0, X1]: 1.81/1.99 ( p2(sk_Y_6(X0)) 1.81/1.99 | ~ r1(sk_Y_5(sk_X_11(sk_Y_1)), X0) 1.81/1.99 | ~ p2(X1) 1.81/1.99 | ~ r1(sk_Y_7(sk_X_11(sk_Y_1)), X1)), 1.81/1.99 inference('sup-', [status(thm)], ['128', '131'])). 1.81/1.99 tff('195', plain, 1.81/1.99 ![X0]: 1.81/1.99 (~ r1(sk_Y_7(sk_X_11(sk_Y_1)), X0) 1.81/1.99 | ~ p2(X0) 1.81/1.99 | p2(sk_Y_6(sk_X_14(sk_Y_5(sk_X_11(sk_Y_1)))))), 1.81/1.99 inference('sup-', [status(thm)], ['193', '194'])). 1.81/1.99 tff('196', plain, 1.81/1.99 ( p2(sk_Y_6(sk_X_14(sk_Y_5(sk_X_11(sk_Y_1))))) 1.81/1.99 | ~ p2(sk_X_9(sk_Y_7(sk_X_11(sk_Y_1))))), 1.81/1.99 inference('sup-', [status(thm)], ['192', '195'])). 1.81/1.99 tff('197', plain, p2(sk_X_9(sk_Y_7(sk_X_11(sk_Y_1)))), 1.81/1.99 inference('sup-', [status(thm)], ['186', '187'])). 1.81/1.99 tff('198', plain, p2(sk_Y_6(sk_X_14(sk_Y_5(sk_X_11(sk_Y_1))))), 1.81/1.99 inference('demod', [status(thm)], ['196', '197'])). 1.81/1.99 tff('199', plain, $false, inference('demod', [status(thm)], ['191', '198'])). 1.81/1.99 1.81/1.99 % SZS output end Refutation 1.81/1.99 1.81/2.00 % Zipperpin 1.5 exiting 1.81/2.00 EOF