0.03/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.03/0.13 % Command : run_portfolio.sh /export/starexec/sandbox/benchmark/theBenchmark.p /export/starexec/sandbox/tmp/tmp.q7q99YAFKd 0.12/0.34 % Computer : n014.cluster.edu 0.12/0.34 % Model : x86_64 x86_64 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.12/0.34 % Memory : 8042.1875MB 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64 0.12/0.34 % CPULimit : 960 0.12/0.34 % DateTime : Thu Jul 2 07:02:25 EDT 2020 0.12/0.34 % CPUTime : 0.12/0.34 % Running portfolio for 120 s 0.12/0.34 % File : /export/starexec/sandbox/benchmark/theBenchmark.p 0.12/0.34 % Number of cores: 8 0.12/0.34 % Python version: Python 3.6.8 0.12/0.34 % Running in FO mode 0.37/0.56 % Running /export/starexec/sandbox/solver/bin/fo/fo7.sh for 25 0.37/0.56 % Solved by: fo/fo7.sh 0.37/0.56 To remain in the chosen logic fragment, unification with booleans has been disabled. 0.37/0.56 % done 221 iterations in 0.123s 0.37/0.56 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p' 0.37/0.56 % SZS output start Refutation 0.37/0.56 tff(co1, conjecture, 0.37/0.56 (((![V]: (sorti2(V) => sorti1(j(V)))) & (![U]: (sorti1(U) => sorti2(h(U))))) => 0.37/0.56 (~ 0.37/0.56 ((![X1]: (sorti2(X1) => (h(j(X1)) = X1))) & 0.37/0.56 (![X2]: (sorti1(X2) => (X2 = j(h(X2))))) & 0.37/0.56 (![Y]: 0.37/0.56 (sorti2(Y) => (![Z]: (sorti2(Z) => (j(op2(Y,Z)) = op1(j(Y),j(Z))))))) & 0.37/0.56 (![W]: 0.37/0.56 (sorti1(W) => (![X]: (sorti1(X) => (op2(h(W),h(X)) = h(op1(W,X))))))))))). 0.37/0.56 tff(zf_stmt_0, negated_conjecture, 0.37/0.56 (~ 0.37/0.56 (((![V]: (sorti2(V) => sorti1(j(V)))) & 0.37/0.56 (![U]: (sorti1(U) => sorti2(h(U))))) => 0.37/0.56 (~ 0.37/0.56 ((![X1]: (sorti2(X1) => (h(j(X1)) = X1))) & 0.37/0.56 (![X2]: (sorti1(X2) => (X2 = j(h(X2))))) & 0.37/0.56 (![Y]: 0.37/0.56 (sorti2(Y) => 0.37/0.56 (![Z]: (sorti2(Z) => (j(op2(Y,Z)) = op1(j(Y),j(Z))))))) & 0.37/0.56 (![W]: 0.37/0.56 (sorti1(W) => 0.37/0.56 (![X]: (sorti1(X) => (op2(h(W),h(X)) = h(op1(W,X)))))))))))). 0.37/0.56 tff('0', plain, ![X2]: ( sorti2(h(X2)) | ~ sorti1(X2)), 0.37/0.56 inference('cnf', [status(esa)], [zf_stmt_0])). 0.37/0.56 tff('1', plain, ![X3]: (h(j(X3)) = X3 | ~ sorti2(X3)), 0.37/0.56 inference('cnf', [status(esa)], [zf_stmt_0])). 0.37/0.56 tff(ax4, axiom, 0.37/0.56 (~(?[U]: ((![V]: (sorti2(V) => (V != op2(V,U)))) & sorti2(U))))). 0.37/0.56 tff('2', plain, ![X0]: (sk_V(X0) = op2(sk_V(X0), X0) | ~ sorti2(X0)), 0.37/0.56 inference('cnf', [status(esa)], [ax4])). 0.37/0.56 tff('3', plain, ![X1]: ( sorti1(j(X1)) | ~ sorti2(X1)), 0.37/0.56 inference('cnf', [status(esa)], [zf_stmt_0])). 0.37/0.56 tff('4', plain, 0.37/0.56 ![X5, X6]: 0.37/0.56 (~ sorti2(X5) | j(op2(X6, X5)) = op1(j(X6), j(X5)) | ~ sorti2(X6)), 0.37/0.56 inference('cnf', [status(esa)], [zf_stmt_0])). 0.37/0.56 tff('5', plain, ![X1]: ( sorti1(j(X1)) | ~ sorti2(X1)), 0.37/0.56 inference('cnf', [status(esa)], [zf_stmt_0])). 0.37/0.56 tff('6', plain, ![X3]: (h(j(X3)) = X3 | ~ sorti2(X3)), 0.37/0.56 inference('cnf', [status(esa)], [zf_stmt_0])). 0.37/0.56 tff('7', plain, 0.37/0.56 ![X7, X8]: 0.37/0.56 (~ sorti1(X7) | op2(h(X8), h(X7)) = h(op1(X8, X7)) | ~ sorti1(X8)), 0.37/0.56 inference('cnf', [status(esa)], [zf_stmt_0])). 0.37/0.56 tff('8', plain, 0.37/0.56 ![X0, X1]: 0.37/0.56 (op2(X0, h(X1)) = h(op1(j(X0), X1)) 0.37/0.56 | ~ sorti2(X0) 0.37/0.56 | ~ sorti1(j(X0)) 0.37/0.56 | ~ sorti1(X1)), 0.37/0.56 inference('sup+', [status(thm)], ['6', '7'])). 0.37/0.56 tff('9', plain, 0.37/0.56 ![X0, X1]: 0.37/0.56 (~ sorti2(X0) 0.37/0.56 | ~ sorti1(X1) 0.37/0.56 | ~ sorti2(X0) 0.37/0.56 | op2(X0, h(X1)) = h(op1(j(X0), X1))), 0.37/0.56 inference('sup-', [status(thm)], ['5', '8'])). 0.37/0.56 tff('10', plain, 0.37/0.56 ![X0, X1]: 0.37/0.56 (op2(X0, h(X1)) = h(op1(j(X0), X1)) | ~ sorti1(X1) | ~ sorti2(X0)), 0.37/0.56 inference('simplify', [status(thm)], ['9'])). 0.37/0.56 tff('11', plain, 0.37/0.56 ![X0, X1]: 0.37/0.56 (op2(X1, h(j(X0))) = h(j(op2(X1, X0))) 0.37/0.56 | ~ sorti2(X1) 0.37/0.56 | ~ sorti2(X0) 0.37/0.56 | ~ sorti2(X1) 0.37/0.56 | ~ sorti1(j(X0))), 0.37/0.56 inference('sup+', [status(thm)], ['4', '10'])). 0.37/0.56 tff('12', plain, 0.37/0.56 ![X0, X1]: 0.37/0.56 (~ sorti1(j(X0)) 0.37/0.56 | ~ sorti2(X0) 0.37/0.56 | ~ sorti2(X1) 0.37/0.56 | op2(X1, h(j(X0))) = h(j(op2(X1, X0)))), 0.37/0.56 inference('simplify', [status(thm)], ['11'])). 0.37/0.56 tff('13', plain, 0.37/0.56 ![X0, X1]: 0.37/0.56 (~ sorti2(X0) 0.37/0.56 | op2(X1, h(j(X0))) = h(j(op2(X1, X0))) 0.37/0.56 | ~ sorti2(X1) 0.37/0.56 | ~ sorti2(X0)), 0.37/0.56 inference('sup-', [status(thm)], ['3', '12'])). 0.37/0.56 tff('14', plain, 0.37/0.56 ![X0, X1]: 0.37/0.56 (~ sorti2(X1) | op2(X1, h(j(X0))) = h(j(op2(X1, X0))) | ~ sorti2(X0)), 0.37/0.56 inference('simplify', [status(thm)], ['13'])). 0.37/0.56 tff('15', plain, 0.37/0.56 ![X0]: 0.37/0.56 (op2(sk_V(X0), h(j(X0))) = h(j(sk_V(X0))) 0.37/0.56 | ~ sorti2(X0) 0.37/0.56 | ~ sorti2(X0) 0.37/0.56 | ~ sorti2(sk_V(X0))), 0.37/0.56 inference('sup+', [status(thm)], ['2', '14'])). 0.37/0.56 tff('16', plain, 0.37/0.56 ![X0]: 0.37/0.56 (~ sorti2(sk_V(X0)) 0.37/0.56 | ~ sorti2(X0) 0.37/0.56 | op2(sk_V(X0), h(j(X0))) = h(j(sk_V(X0)))), 0.37/0.56 inference('simplify', [status(thm)], ['15'])). 0.37/0.56 tff('17', plain, ![X0]: ( sorti2(sk_V(X0)) | ~ sorti2(X0)), 0.37/0.56 inference('cnf', [status(esa)], [ax4])). 0.37/0.56 tff('18', plain, 0.37/0.56 ![X0]: (op2(sk_V(X0), h(j(X0))) = h(j(sk_V(X0))) | ~ sorti2(X0)), 0.37/0.56 inference('clc', [status(thm)], ['16', '17'])). 0.37/0.56 tff('19', plain, 0.37/0.56 ![X0]: (op2(sk_V(X0), X0) = h(j(sk_V(X0))) | ~ sorti2(X0) | ~ sorti2(X0)), 0.37/0.56 inference('sup+', [status(thm)], ['1', '18'])). 0.37/0.56 tff('20', plain, ![X0]: (~ sorti2(X0) | op2(sk_V(X0), X0) = h(j(sk_V(X0)))), 0.37/0.56 inference('simplify', [status(thm)], ['19'])). 0.37/0.56 tff('21', plain, ![X4]: (X4 = j(h(X4)) | ~ sorti1(X4)), 0.37/0.56 inference('cnf', [status(esa)], [zf_stmt_0])). 0.37/0.56 tff('22', plain, 0.37/0.56 ![X0, X1]: 0.37/0.56 (op2(X0, h(X1)) = h(op1(j(X0), X1)) | ~ sorti1(X1) | ~ sorti2(X0)), 0.37/0.56 inference('simplify', [status(thm)], ['9'])). 0.37/0.56 tff('23', plain, ![X2]: ( sorti2(h(X2)) | ~ sorti1(X2)), 0.37/0.56 inference('cnf', [status(esa)], [zf_stmt_0])). 0.37/0.56 tff('24', plain, 0.37/0.56 ![X7, X8]: 0.37/0.56 (~ sorti1(X7) | op2(h(X8), h(X7)) = h(op1(X8, X7)) | ~ sorti1(X8)), 0.37/0.56 inference('cnf', [status(esa)], [zf_stmt_0])). 0.37/0.56 tff('25', plain, ![X2]: ( sorti2(h(X2)) | ~ sorti1(X2)), 0.37/0.56 inference('cnf', [status(esa)], [zf_stmt_0])). 0.37/0.56 tff('26', plain, ![X4]: (X4 = j(h(X4)) | ~ sorti1(X4)), 0.37/0.56 inference('cnf', [status(esa)], [zf_stmt_0])). 0.37/0.56 tff('27', plain, 0.37/0.56 ![X5, X6]: 0.37/0.56 (~ sorti2(X5) | j(op2(X6, X5)) = op1(j(X6), j(X5)) | ~ sorti2(X6)), 0.37/0.56 inference('cnf', [status(esa)], [zf_stmt_0])). 0.37/0.56 tff('28', plain, 0.37/0.56 ![X0, X1]: 0.37/0.56 (j(op2(X1, h(X0))) = op1(j(X1), X0) 0.37/0.56 | ~ sorti1(X0) 0.37/0.56 | ~ sorti2(X1) 0.37/0.56 | ~ sorti2(h(X0))), 0.37/0.56 inference('sup+', [status(thm)], ['26', '27'])). 0.37/0.56 tff('29', plain, 0.37/0.56 ![X0, X1]: 0.37/0.56 (~ sorti1(X0) 0.37/0.56 | ~ sorti2(X1) 0.37/0.56 | ~ sorti1(X0) 0.37/0.56 | j(op2(X1, h(X0))) = op1(j(X1), X0)), 0.37/0.56 inference('sup-', [status(thm)], ['25', '28'])). 0.37/0.56 tff('30', plain, 0.37/0.56 ![X0, X1]: 0.37/0.56 (j(op2(X1, h(X0))) = op1(j(X1), X0) | ~ sorti2(X1) | ~ sorti1(X0)), 0.37/0.56 inference('simplify', [status(thm)], ['29'])). 0.37/0.56 tff('31', plain, 0.37/0.56 ![X0, X1]: 0.37/0.56 (j(h(op1(X1, X0))) = op1(j(h(X1)), X0) 0.37/0.56 | ~ sorti1(X1) 0.37/0.56 | ~ sorti1(X0) 0.37/0.56 | ~ sorti1(X0) 0.37/0.56 | ~ sorti2(h(X1))), 0.37/0.56 inference('sup+', [status(thm)], ['24', '30'])). 0.37/0.56 tff('32', plain, 0.37/0.56 ![X0, X1]: 0.37/0.56 (~ sorti2(h(X1)) 0.37/0.56 | ~ sorti1(X0) 0.37/0.56 | ~ sorti1(X1) 0.37/0.56 | j(h(op1(X1, X0))) = op1(j(h(X1)), X0)), 0.37/0.56 inference('simplify', [status(thm)], ['31'])). 0.37/0.56 tff('33', plain, 0.37/0.56 ![X0, X1]: 0.37/0.56 (~ sorti1(X0) 0.37/0.56 | j(h(op1(X0, X1))) = op1(j(h(X0)), X1) 0.37/0.56 | ~ sorti1(X0) 0.37/0.56 | ~ sorti1(X1)), 0.37/0.56 inference('sup-', [status(thm)], ['23', '32'])). 0.37/0.56 tff('34', plain, 0.37/0.56 ![X0, X1]: 0.37/0.56 (~ sorti1(X1) | j(h(op1(X0, X1))) = op1(j(h(X0)), X1) | ~ sorti1(X0)), 0.37/0.56 inference('simplify', [status(thm)], ['33'])). 0.37/0.56 tff(ax3, axiom, (?[U]: ((![V]: (sorti1(V) => (V != op1(V,U)))) & sorti1(U)))). 0.37/0.56 tff('35', plain, ![X13]: (X13 != op1(X13, sk_U) | ~ sorti1(X13)), 0.37/0.56 inference('cnf', [status(esa)], [ax3])). 0.37/0.56 tff('36', plain, 0.37/0.56 ![X0]: 0.37/0.56 (j(h(X0)) != j(h(op1(X0, sk_U))) 0.37/0.56 | ~ sorti1(X0) 0.37/0.56 | ~ sorti1(sk_U) 0.37/0.56 | ~ sorti1(j(h(X0)))), 0.37/0.56 inference('sup-', [status(thm)], ['34', '35'])). 0.37/0.56 tff('37', plain, sorti1(sk_U), inference('cnf', [status(esa)], [ax3])). 0.37/0.56 tff('38', plain, 0.37/0.56 ![X0]: 0.37/0.56 (j(h(X0)) != j(h(op1(X0, sk_U))) | ~ sorti1(X0) | ~ sorti1(j(h(X0)))), 0.37/0.56 inference('demod', [status(thm)], ['36', '37'])). 0.37/0.56 tff('39', plain, 0.37/0.56 ![X0]: 0.37/0.56 (j(h(j(X0))) != j(op2(X0, h(sk_U))) 0.37/0.56 | ~ sorti2(X0) 0.37/0.56 | ~ sorti1(sk_U) 0.37/0.56 | ~ sorti1(j(h(j(X0)))) 0.37/0.56 | ~ sorti1(j(X0))), 0.37/0.56 inference('sup-', [status(thm)], ['22', '38'])). 0.37/0.56 tff('40', plain, sorti1(sk_U), inference('cnf', [status(esa)], [ax3])). 0.37/0.56 tff('41', plain, 0.37/0.56 ![X0]: 0.37/0.56 (j(h(j(X0))) != j(op2(X0, h(sk_U))) 0.37/0.56 | ~ sorti2(X0) 0.37/0.56 | ~ sorti1(j(h(j(X0)))) 0.37/0.56 | ~ sorti1(j(X0))), 0.37/0.56 inference('demod', [status(thm)], ['39', '40'])). 0.37/0.56 tff('42', plain, 0.37/0.56 ![X0]: 0.37/0.56 (~ sorti1(j(X0)) 0.37/0.56 | ~ sorti1(j(X0)) 0.37/0.56 | ~ sorti1(j(X0)) 0.37/0.56 | ~ sorti2(X0) 0.37/0.56 | j(h(j(X0))) != j(op2(X0, h(sk_U)))), 0.37/0.56 inference('sup-', [status(thm)], ['21', '41'])). 0.37/0.56 tff('43', plain, 0.37/0.56 ![X0]: 0.37/0.56 (j(h(j(X0))) != j(op2(X0, h(sk_U))) | ~ sorti2(X0) | ~ sorti1(j(X0))), 0.37/0.56 inference('simplify', [status(thm)], ['42'])). 0.37/0.56 tff('44', plain, ![X1]: ( sorti1(j(X1)) | ~ sorti2(X1)), 0.37/0.56 inference('cnf', [status(esa)], [zf_stmt_0])). 0.37/0.56 tff('45', plain, ![X0]: (~ sorti2(X0) | j(h(j(X0))) != j(op2(X0, h(sk_U)))), 0.37/0.56 inference('clc', [status(thm)], ['43', '44'])). 0.37/0.56 tff('46', plain, 0.37/0.56 (j(h(j(sk_V(h(sk_U))))) != j(h(j(sk_V(h(sk_U))))) 0.37/0.56 | ~ sorti2(h(sk_U)) 0.37/0.56 | ~ sorti2(sk_V(h(sk_U)))), 0.37/0.56 inference('sup-', [status(thm)], ['20', '45'])). 0.37/0.56 tff('47', plain, (~ sorti2(sk_V(h(sk_U))) | ~ sorti2(h(sk_U))), 0.37/0.56 inference('simplify', [status(thm)], ['46'])). 0.37/0.56 tff('48', plain, ![X0]: ( sorti2(sk_V(X0)) | ~ sorti2(X0)), 0.37/0.56 inference('cnf', [status(esa)], [ax4])). 0.37/0.56 tff('49', plain, ~ sorti2(h(sk_U)), 0.37/0.56 inference('clc', [status(thm)], ['47', '48'])). 0.37/0.56 tff('50', plain, ~ sorti1(sk_U), 0.37/0.56 inference('sup-', [status(thm)], ['0', '49'])). 0.37/0.56 tff('51', plain, sorti1(sk_U), inference('cnf', [status(esa)], [ax3])). 0.37/0.56 tff('52', plain, $false, inference('demod', [status(thm)], ['50', '51'])). 0.37/0.56 0.37/0.56 % SZS output end Refutation 0.37/0.56 0.37/0.57 % Zipperpin 1.5 exiting 0.37/0.58 EOF