0.03/0.11 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.03/0.12 % Command : run_portfolio.sh /export/starexec/sandbox2/benchmark/theBenchmark.p /export/starexec/sandbox2/tmp/tmp.GodL90ZBi5 0.11/0.33 % Computer : n025.cluster.edu 0.11/0.33 % Model : x86_64 x86_64 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.11/0.33 % Memory : 8042.1875MB 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64 0.11/0.33 % CPULimit : 960 0.11/0.33 % DateTime : Thu Jul 2 08:56:03 EDT 2020 0.11/0.33 % CPUTime : 0.11/0.33 % Running portfolio for 120 s 0.11/0.33 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p 0.11/0.33 % Number of cores: 8 0.11/0.33 % Python version: Python 3.6.8 0.11/0.33 % Running in HO mode 0.49/0.62 % Estimated wc time : 1286 0.49/0.62 % Estimated cpu time (7 cpus) : 183.71428571428572 0.49/0.70 % /export/starexec/sandbox2/solver/bin/lams/s6.sh running for 21s 0.49/0.71 % /export/starexec/sandbox2/solver/bin/lams/new_b3.2.norw.sh running for 15s 0.49/0.71 % /export/starexec/sandbox2/solver/bin/lams/b.rpo.sh running for 21s 0.49/0.72 % /export/starexec/sandbox2/solver/bin/lams/s6.ds.sh running for 10s 0.49/0.72 % /export/starexec/sandbox2/solver/bin/lams/c.easy.sh running for 26s 0.49/0.72 % /export/starexec/sandbox2/solver/bin/lams/c.s.2.sh running for 68s 0.49/0.74 % /export/starexec/sandbox2/solver/bin/lams/old_b3.avatar.sh running for 15s 69.14/10.53 % /export/starexec/sandbox2/solver/bin/lams/old_sp2.sh running for 17s 104.08/15.56 % /export/starexec/sandbox2/solver/bin/lams/b.sh running for 31s 104.28/15.59 % /export/starexec/sandbox2/solver/bin/lams/sh1.sh running for 26s 113.97/17.02 % Solved by lams/sh1.sh. 113.97/17.02 % Running : timeout 12 /export/starexec/sandbox2/solver/bin/lams/eprover-ho --pos-ext=all --neg-ext=all /export/starexec/sandbox2/tmp/tmp.GodL90ZBi5/e_inputd994eb --cpu-limit=10 --auto -s -p. 113.97/17.02 % done 93 iterations in 1.389s 113.97/17.02 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p' 113.97/17.02 % SZS output start Refutation 113.97/17.02 tff(cDOMLEMMA5_pme, conjecture, 113.97/17.02 ((![Xx:((a > $o))]: ((cA(Xx) & Xx(t)) => cA(Xx))) & 113.97/17.02 (![Xx:((a > $o))]: 113.97/17.02 ((cA(Xx) & Xx(t)) => 113.97/17.02 (?[Xe:((a > $o))]: 113.97/17.02 ((![X:(((a > $o) > $o))]: 113.97/17.02 (((![Xx0:((a > $o))]: 113.97/17.02 (X(Xx0) => 113.97/17.02 (![Xt0:a]: 113.97/17.02 (Xe(Xt0) => X(^[Xz:a]: ((Xt0 = Xz) | Xx0(Xz))))))) & 113.97/17.02 X(^[Xy:a]: $false)) => 113.97/17.02 X(Xe))) & 113.97/17.02 (![Xy:((a > $o))]: 113.97/17.02 (((![Xx0:a]: (Xe(Xx0) => Xy(Xx0))) & cA(Xy)) => 113.97/17.02 (Xy(t) & cA(Xy)))) & 113.97/17.02 (![Xx0:a]: (Xe(Xx0) => Xx(Xx0))))))))). 113.97/17.02 tff(zf_stmt_0, negated_conjecture, 113.97/17.02 (~ 113.97/17.02 ((![Xx:((a > $o))]: ((cA(Xx) & Xx(t)) => cA(Xx))) & 113.97/17.02 (![Xx:((a > $o))]: 113.97/17.02 ((cA(Xx) & Xx(t)) => 113.97/17.02 (?[Xe:((a > $o))]: 113.97/17.02 ((![X:(((a > $o) > $o))]: 113.97/17.02 (((![Xx0:((a > $o))]: 113.97/17.02 (X(Xx0) => 113.97/17.02 (![Xt0:a]: 113.97/17.02 (Xe(Xt0) => X(^[Xz:a]: ((Xt0 = Xz) | Xx0(Xz))))))) & 113.97/17.02 X(^[Xy:a]: $false)) => 113.97/17.02 X(Xe))) & 113.97/17.02 (![Xy:((a > $o))]: 113.97/17.02 (((![Xx0:a]: (Xe(Xx0) => Xy(Xx0))) & cA(Xy)) => 113.97/17.02 (Xy(t) & cA(Xy)))) & 113.97/17.02 (![Xx0:a]: (Xe(Xx0) => Xx(Xx0)))))))))). 113.97/17.02 tff('0', plain, 113.97/17.02 ![X0 : a > $o]: 113.97/17.02 ( cA(sk_Xx) 113.97/17.02 | sk_X(X0, (^[Y0 : a]: $false)) 113.97/17.02 | ~ cA(sk_Xy(X0)) 113.97/17.02 | ~ sk_Xy(X0, t) 113.97/17.02 | ~ sk_Xx_1(sk_Xx0(X0))), 113.97/17.02 inference('cnf', [status(esa)], [zf_stmt_0])). 113.97/17.02 tff('1', plain, 113.97/17.02 ![X0 : a > $o]: 113.97/17.02 (~ cA(sk_Xx) 113.97/17.02 | sk_X(X0, (^[Y0 : a]: $false)) 113.97/17.02 | ~ cA(sk_Xy(X0)) 113.97/17.02 | ~ sk_Xy(X0, t) 113.97/17.02 | ~ sk_Xx_1(sk_Xx0(X0))), 113.97/17.02 inference('cnf', [status(esa)], [zf_stmt_0])). 113.97/17.02 tff('2', plain, ![X1 : a]: ~ '#l_lift2'(X1), define([status(thm)])). 113.97/17.02 tff('3', plain, 113.97/17.02 ![X0 : a > $o]: 113.97/17.02 ( cA(sk_Xx) 113.97/17.02 | sk_X(X0, '#l_lift2') 113.97/17.02 | ~ cA(sk_Xy(X0)) 113.97/17.02 | ~ sk_Xy(X0, t) 113.97/17.02 | ~ sk_Xx_1(sk_Xx0(X0))), 113.97/17.02 inference('lambda_lifting', [status(thm)], ['0', '2'])). 113.97/17.02 tff('4', plain, 113.97/17.02 ![X0 : a > $o, X1 : a > $o, X2 : a]: 113.97/17.02 ( cA(sk_Xx) 113.97/17.02 | ~ sk_X(X0, X1) 113.97/17.02 | sk_X(X0, (^[Y0 : a]: ((X2 = Y0) | X1(Y0)))) 113.97/17.02 | ~ X0(X2) 113.97/17.02 | ~ cA(sk_Xy(X0)) 113.97/17.02 | ~ sk_Xy(X0, t) 113.97/17.02 | ~ sk_Xx_1(sk_Xx0(X0))), 113.97/17.02 inference('cnf', [status(esa)], [zf_stmt_0])). 113.97/17.02 tff('5', plain, 113.97/17.02 ![X0 : a > $o, X1 : a > $o, X2 : a]: 113.97/17.02 (~ cA(sk_Xx) 113.97/17.02 | ~ sk_X(X0, X1) 113.97/17.02 | sk_X(X0, (^[Y0 : a]: ((X2 = Y0) | X1(Y0)))) 113.97/17.02 | ~ X0(X2) 113.97/17.02 | ~ cA(sk_Xy(X0)) 113.97/17.02 | ~ sk_Xy(X0, t) 113.97/17.02 | ~ sk_Xx_1(sk_Xx0(X0))), 113.97/17.02 inference('cnf', [status(esa)], [zf_stmt_0])). 113.97/17.02 tff('6', plain, 113.97/17.02 ![X1 : a > $o, X2 : a, X3 : a]: 113.97/17.02 '#l_lift1'(X1, X2, X3) = ((X2 = X3) | X1(X3)), 113.97/17.02 define([status(thm)])). 113.97/17.02 tff('7', plain, 113.97/17.02 ![X0 : a > $o, X1 : a > $o, X2 : a]: 113.97/17.02 ( cA(sk_Xx) 113.97/17.02 | ~ sk_X(X0, X1) 113.97/17.02 | sk_X(X0, '#l_lift1'((^[Y0 : a]: X1(Y0)), X2)) 113.97/17.02 | ~ X0(X2) 113.97/17.02 | ~ cA(sk_Xy(X0)) 113.97/17.02 | ~ sk_Xy(X0, t) 113.97/17.02 | ~ sk_Xx_1(sk_Xx0(X0))), 113.97/17.02 inference('lambda_lifting', [status(thm)], ['4', '6'])). 113.97/17.02 tff('8', plain, 113.97/17.02 ![X0 : a > $o, X1 : a > $o, X2 : a]: 113.97/17.02 ( cA(sk_Xx) 113.97/17.02 | ~ sk_X(X0, X1) 113.97/17.02 | sk_X(X0, '#l_lift1'(X1, X2)) 113.97/17.02 | ~ X0(X2) 113.97/17.02 | ~ cA(sk_Xy(X0)) 113.97/17.02 | ~ sk_Xy(X0, t) 113.97/17.02 | ~ sk_Xx_1(sk_Xx0(X0))), 113.97/17.02 inference('ho_norm', [status(thm)], ['7'])). 113.97/17.02 tff('9', plain, 113.97/17.02 ![X0 : a > $o]: 113.97/17.02 ( cA(sk_Xx) 113.97/17.02 | ~ sk_X(X0, X0) 113.97/17.02 | ~ cA(sk_Xy(X0)) 113.97/17.02 | ~ sk_Xy(X0, t) 113.97/17.02 | ~ sk_Xx_1(sk_Xx0(X0))), 113.97/17.02 inference('cnf', [status(esa)], [zf_stmt_0])). 113.97/17.02 tff('10', plain, 113.97/17.02 ![X0 : a > $o]: 113.97/17.02 (~ cA(sk_Xx) 113.97/17.02 | sk_X(X0, (^[Y0 : a]: $false)) 113.97/17.02 | ~ cA(sk_Xy(X0)) 113.97/17.02 | ~ sk_Xy(X0, t) 113.97/17.02 | ~ sk_Xx_1(sk_Xx0(X0))), 113.97/17.02 inference('cnf', [status(esa)], [zf_stmt_0])). 113.97/17.02 tff('11', plain, ![X1 : a]: ~ '#l_lift2'(X1), define([status(thm)])). 113.97/17.02 tff('12', plain, 113.97/17.02 ![X0 : a > $o]: 113.97/17.02 (~ cA(sk_Xx) 113.97/17.02 | sk_X(X0, '#l_lift2') 113.97/17.02 | ~ cA(sk_Xy(X0)) 113.97/17.02 | ~ sk_Xy(X0, t) 113.97/17.02 | ~ sk_Xx_1(sk_Xx0(X0))), 113.97/17.02 inference('lambda_lifting', [status(thm)], ['10', '11'])). 113.97/17.02 tff('13', plain, 113.97/17.02 ![X0 : a > $o, X1 : a > $o, X2 : a]: 113.97/17.02 (~ cA(sk_Xx) 113.97/17.02 | ~ sk_X(X0, X1) 113.97/17.02 | sk_X(X0, (^[Y0 : a]: ((X2 = Y0) | X1(Y0)))) 113.97/17.02 | ~ X0(X2) 113.97/17.02 | ~ cA(sk_Xy(X0)) 113.97/17.02 | ~ sk_Xy(X0, t) 113.97/17.02 | ~ sk_Xx_1(sk_Xx0(X0))), 113.97/17.02 inference('cnf', [status(esa)], [zf_stmt_0])). 113.97/17.02 tff('14', plain, 113.97/17.02 ![X1 : a > $o, X2 : a, X3 : a]: 113.97/17.02 '#l_lift1'(X1, X2, X3) = ((X2 = X3) | X1(X3)), 113.97/17.02 define([status(thm)])). 113.97/17.02 tff('15', plain, 113.97/17.02 ![X0 : a > $o, X1 : a > $o, X2 : a]: 113.97/17.02 (~ cA(sk_Xx) 113.97/17.02 | ~ sk_X(X0, X1) 113.97/17.02 | sk_X(X0, '#l_lift1'(X1, X2)) 113.97/17.02 | ~ X0(X2) 113.97/17.02 | ~ cA(sk_Xy(X0)) 113.97/17.02 | ~ sk_Xy(X0, t) 113.97/17.02 | ~ sk_Xx_1(sk_Xx0(X0))), 113.97/17.02 inference('lambda_lifting', [status(thm)], ['13', '14'])). 113.97/17.02 tff('16', plain, 113.97/17.02 ![X0 : a > $o]: 113.97/17.02 (~ cA(sk_Xx) 113.97/17.02 | ~ sk_X(X0, X0) 113.97/17.02 | ~ cA(sk_Xy(X0)) 113.97/17.02 | ~ sk_Xy(X0, t) 113.97/17.02 | ~ sk_Xx_1(sk_Xx0(X0))), 113.97/17.02 inference('cnf', [status(esa)], [zf_stmt_0])). 113.97/17.02 tff('17', plain, 113.97/17.02 ![X0 : a > $o]: 113.97/17.02 (~ cA(sk_Xx) | ~ sk_X(X0, X0) | cA(sk_Xy(X0)) | ~ sk_Xx_1(sk_Xx0(X0))), 113.97/17.02 inference('cnf', [status(esa)], [zf_stmt_0])). 113.97/17.02 tff('18', plain, 113.97/17.02 ![X0 : a > $o]: 113.97/17.02 ( cA(sk_Xx) | ~ sk_X(X0, X0) | cA(sk_Xy(X0)) | ~ sk_Xx_1(sk_Xx0(X0))), 113.97/17.02 inference('cnf', [status(esa)], [zf_stmt_0])). 113.97/17.02 tff('19', plain, 113.97/17.02 ![X0 : a > $o]: 113.97/17.02 ( cA(sk_Xx) 113.97/17.02 | sk_X(X0, (^[Y0 : a]: $false)) 113.97/17.02 | cA(sk_Xy(X0)) 113.97/17.02 | ~ sk_Xx_1(sk_Xx0(X0))), 113.97/17.02 inference('cnf', [status(esa)], [zf_stmt_0])). 113.97/17.02 tff('20', plain, ![X1 : a]: ~ '#l_lift2'(X1), define([status(thm)])). 113.97/17.02 tff('21', plain, 113.97/17.02 ![X0 : a > $o]: 113.97/17.02 ( cA(sk_Xx) 113.97/17.02 | sk_X(X0, '#l_lift2') 113.97/17.02 | cA(sk_Xy(X0)) 113.97/17.02 | ~ sk_Xx_1(sk_Xx0(X0))), 113.97/17.02 inference('lambda_lifting', [status(thm)], ['19', '20'])). 113.97/17.02 tff('22', plain, 113.97/17.02 ![X0 : a > $o]: 113.97/17.02 (~ cA(sk_Xx) 113.97/17.02 | sk_X(X0, (^[Y0 : a]: $false)) 113.97/17.02 | cA(sk_Xy(X0)) 113.97/17.02 | ~ sk_Xx_1(sk_Xx0(X0))), 113.97/17.02 inference('cnf', [status(esa)], [zf_stmt_0])). 113.97/17.02 tff('23', plain, ![X1 : a]: ~ '#l_lift2'(X1), define([status(thm)])). 113.97/17.02 tff('24', plain, 113.97/17.02 ![X0 : a > $o]: 113.97/17.02 (~ cA(sk_Xx) 113.97/17.02 | sk_X(X0, '#l_lift2') 113.97/17.02 | cA(sk_Xy(X0)) 113.97/17.02 | ~ sk_Xx_1(sk_Xx0(X0))), 113.97/17.02 inference('lambda_lifting', [status(thm)], ['22', '23'])). 113.97/17.02 tff('25', plain, 113.97/17.02 ![X0 : a > $o, X1 : a > $o, X2 : a]: 113.97/17.02 (~ cA(sk_Xx) 113.97/17.02 | ~ sk_X(X0, X1) 113.97/17.02 | sk_X(X0, (^[Y0 : a]: ((X2 = Y0) | X1(Y0)))) 113.97/17.02 | ~ X0(X2) 113.97/17.02 | cA(sk_Xy(X0)) 113.97/17.02 | ~ sk_Xx_1(sk_Xx0(X0))), 113.97/17.02 inference('cnf', [status(esa)], [zf_stmt_0])). 113.97/17.02 tff('26', plain, 113.97/17.02 ![X1 : a > $o, X2 : a, X3 : a]: 113.97/17.02 '#l_lift1'(X1, X2, X3) = ((X2 = X3) | X1(X3)), 113.97/17.02 define([status(thm)])). 113.97/17.02 tff('27', plain, 113.97/17.02 ![X0 : a > $o, X1 : a > $o, X2 : a]: 113.97/17.02 (~ cA(sk_Xx) 113.97/17.02 | ~ sk_X(X0, X1) 113.97/17.02 | sk_X(X0, '#l_lift1'((^[Y0 : a]: X1(Y0)), X2)) 113.97/17.02 | ~ X0(X2) 113.97/17.02 | cA(sk_Xy(X0)) 113.97/17.02 | ~ sk_Xx_1(sk_Xx0(X0))), 113.97/17.02 inference('lambda_lifting', [status(thm)], ['25', '26'])). 113.97/17.02 tff('28', plain, 113.97/17.02 ![X0 : a > $o, X1 : a > $o, X2 : a]: 113.97/17.02 (~ cA(sk_Xx) 113.97/17.02 | ~ sk_X(X0, X1) 113.97/17.02 | sk_X(X0, '#l_lift1'(X1, X2)) 113.97/17.02 | ~ X0(X2) 113.97/17.02 | cA(sk_Xy(X0)) 113.97/17.02 | ~ sk_Xx_1(sk_Xx0(X0))), 113.97/17.02 inference('ho_norm', [status(thm)], ['27'])). 113.97/17.02 tff('29', plain, 113.97/17.02 ![X0 : a > $o, X1 : a > $o, X2 : a]: 113.97/17.02 ( cA(sk_Xx) 113.97/17.02 | ~ sk_X(X0, X1) 113.97/17.02 | sk_X(X0, (^[Y0 : a]: ((X2 = Y0) | X1(Y0)))) 113.97/17.02 | ~ X0(X2) 113.97/17.02 | cA(sk_Xy(X0)) 113.97/17.02 | ~ sk_Xx_1(sk_Xx0(X0))), 113.97/17.02 inference('cnf', [status(esa)], [zf_stmt_0])). 113.97/17.02 tff('30', plain, 113.97/17.02 ![X1 : a > $o, X2 : a, X3 : a]: 113.97/17.02 '#l_lift1'(X1, X2, X3) = ((X2 = X3) | X1(X3)), 113.97/17.02 define([status(thm)])). 113.97/17.02 tff('31', plain, 113.97/17.02 ![X0 : a > $o, X1 : a > $o, X2 : a]: 113.97/17.02 ( cA(sk_Xx) 113.97/17.02 | ~ sk_X(X0, X1) 113.97/17.02 | sk_X(X0, '#l_lift1'((^[Y0 : a]: X1(Y0)), X2)) 113.97/17.02 | ~ X0(X2) 113.97/17.02 | cA(sk_Xy(X0)) 113.97/17.02 | ~ sk_Xx_1(sk_Xx0(X0))), 113.97/17.02 inference('lambda_lifting', [status(thm)], ['29', '30'])). 113.97/17.02 tff('32', plain, 113.97/17.02 ![X0 : a > $o, X1 : a > $o, X2 : a]: 113.97/17.02 ( cA(sk_Xx) 113.97/17.02 | ~ sk_X(X0, X1) 113.97/17.02 | sk_X(X0, '#l_lift1'(X1, X2)) 113.97/17.02 | ~ X0(X2) 113.97/17.02 | cA(sk_Xy(X0)) 113.97/17.02 | ~ sk_Xx_1(sk_Xx0(X0))), 113.97/17.02 inference('ho_norm', [status(thm)], ['31'])). 113.97/17.02 tff('33', plain, 113.97/17.02 ![X0 : a > $o]: 113.97/17.02 ( cA(sk_Xx) 113.97/17.02 | ~ sk_X(X0, X0) 113.97/17.02 | ~ cA(sk_Xy(X0)) 113.97/17.02 | ~ sk_Xy(X0, t) 113.97/17.02 | X0(sk_Xx0(X0))), 113.97/17.02 inference('cnf', [status(esa)], [zf_stmt_0])). 113.97/17.02 tff('34', plain, 113.97/17.02 ![X0 : a > $o]: 113.97/17.02 (~ cA(sk_Xx) 113.97/17.02 | ~ sk_X(X0, X0) 113.97/17.02 | ~ cA(sk_Xy(X0)) 113.97/17.02 | ~ sk_Xy(X0, t) 113.97/17.02 | X0(sk_Xx0(X0))), 113.97/17.02 inference('cnf', [status(esa)], [zf_stmt_0])). 113.97/17.02 tff('35', plain, 113.97/17.02 ![X0 : a > $o]: 113.97/17.02 (~ cA(sk_Xx) | ~ sk_X(X0, X0) | cA(sk_Xy(X0)) | X0(sk_Xx0(X0))), 113.97/17.02 inference('cnf', [status(esa)], [zf_stmt_0])). 113.97/17.02 tff('36', plain, 113.97/17.02 ![X0 : a > $o]: 113.97/17.02 ( cA(sk_Xx) | ~ sk_X(X0, X0) | cA(sk_Xy(X0)) | X0(sk_Xx0(X0))), 113.97/17.02 inference('cnf', [status(esa)], [zf_stmt_0])). 113.97/17.02 tff('37', plain, 113.97/17.02 ![X0 : a > $o, X1 : a > $o, X2 : a]: 113.97/17.02 (~ cA(sk_Xx) 113.97/17.02 | ~ sk_X(X0, X1) 113.97/17.02 | sk_X(X0, (^[Y0 : a]: ((X2 = Y0) | X1(Y0)))) 113.97/17.02 | ~ X0(X2) 113.97/17.02 | ~ cA(sk_Xy(X0)) 113.97/17.02 | ~ sk_Xy(X0, t) 113.97/17.02 | X0(sk_Xx0(X0))), 113.97/17.02 inference('cnf', [status(esa)], [zf_stmt_0])). 113.97/17.02 tff('38', plain, 113.97/17.02 ![X1 : a > $o, X2 : a, X3 : a]: 113.97/17.02 '#l_lift1'(X1, X2, X3) = ((X2 = X3) | X1(X3)), 113.97/17.02 define([status(thm)])). 113.97/17.02 tff('39', plain, 113.97/17.02 ![X0 : a > $o, X1 : a > $o, X2 : a]: 113.97/17.02 (~ cA(sk_Xx) 113.97/17.02 | ~ sk_X(X0, X1) 113.97/17.02 | sk_X(X0, '#l_lift1'((^[Y0 : a]: X1(Y0)), X2)) 113.97/17.02 | ~ X0(X2) 113.97/17.02 | ~ cA(sk_Xy(X0)) 113.97/17.02 | ~ sk_Xy(X0, t) 113.97/17.02 | X0(sk_Xx0(X0))), 113.97/17.02 inference('lambda_lifting', [status(thm)], ['37', '38'])). 113.97/17.02 tff('40', plain, 113.97/17.02 ![X0 : a > $o, X1 : a > $o, X2 : a]: 113.97/17.02 (~ cA(sk_Xx) 113.97/17.02 | ~ sk_X(X0, X1) 113.97/17.02 | sk_X(X0, '#l_lift1'(X1, X2)) 113.97/17.02 | ~ X0(X2) 113.97/17.02 | ~ cA(sk_Xy(X0)) 113.97/17.02 | ~ sk_Xy(X0, t) 113.97/17.02 | X0(sk_Xx0(X0))), 113.97/17.02 inference('ho_norm', [status(thm)], ['39'])). 113.97/17.02 tff('41', plain, 113.97/17.02 ![X0 : a > $o]: 113.97/17.02 (~ cA(sk_Xx) 113.97/17.02 | sk_X(X0, (^[Y0 : a]: $false)) 113.97/17.02 | ~ cA(sk_Xy(X0)) 113.97/17.02 | ~ sk_Xy(X0, t) 113.97/17.02 | X0(sk_Xx0(X0))), 113.97/17.02 inference('cnf', [status(esa)], [zf_stmt_0])). 113.97/17.02 tff('42', plain, ![X1 : a]: ~ '#l_lift2'(X1), define([status(thm)])). 113.97/17.02 tff('43', plain, 113.97/17.02 ![X0 : a > $o]: 113.97/17.02 (~ cA(sk_Xx) 113.97/17.02 | sk_X(X0, '#l_lift2') 113.97/17.02 | ~ cA(sk_Xy(X0)) 113.97/17.02 | ~ sk_Xy(X0, t) 113.97/17.02 | X0(sk_Xx0(X0))), 113.97/17.02 inference('lambda_lifting', [status(thm)], ['41', '42'])). 113.97/17.02 tff('44', plain, 113.97/17.02 ![X0 : a > $o, X1 : a > $o, X2 : a]: 113.97/17.02 ( cA(sk_Xx) 113.97/17.02 | ~ sk_X(X0, X1) 113.97/17.02 | sk_X(X0, (^[Y0 : a]: ((X2 = Y0) | X1(Y0)))) 113.97/17.02 | ~ X0(X2) 113.97/17.02 | ~ cA(sk_Xy(X0)) 113.97/17.02 | ~ sk_Xy(X0, t) 113.97/17.02 | X0(sk_Xx0(X0))), 113.97/17.02 inference('cnf', [status(esa)], [zf_stmt_0])). 113.97/17.02 tff('45', plain, 113.97/17.02 ![X1 : a > $o, X2 : a, X3 : a]: 113.97/17.02 '#l_lift1'(X1, X2, X3) = ((X2 = X3) | X1(X3)), 113.97/17.02 define([status(thm)])). 113.97/17.02 tff('46', plain, 113.97/17.02 ![X0 : a > $o, X1 : a > $o, X2 : a]: 113.97/17.02 ( cA(sk_Xx) 113.97/17.02 | ~ sk_X(X0, X1) 113.97/17.02 | sk_X(X0, '#l_lift1'((^[Y0 : a]: X1(Y0)), X2)) 113.97/17.02 | ~ X0(X2) 113.97/17.02 | ~ cA(sk_Xy(X0)) 113.97/17.02 | ~ sk_Xy(X0, t) 113.97/17.02 | X0(sk_Xx0(X0))), 113.97/17.02 inference('lambda_lifting', [status(thm)], ['44', '45'])). 113.97/17.02 tff('47', plain, 113.97/17.02 ![X0 : a > $o, X1 : a > $o, X2 : a]: 113.97/17.02 ( cA(sk_Xx) 113.97/17.02 | ~ sk_X(X0, X1) 113.97/17.02 | sk_X(X0, '#l_lift1'(X1, X2)) 113.97/17.02 | ~ X0(X2) 113.97/17.02 | ~ cA(sk_Xy(X0)) 113.97/17.02 | ~ sk_Xy(X0, t) 113.97/17.02 | X0(sk_Xx0(X0))), 113.97/17.02 inference('ho_norm', [status(thm)], ['46'])). 113.97/17.02 tff('48', plain, 113.97/17.02 ![X0 : a > $o]: 113.97/17.02 ( cA(sk_Xx) 113.97/17.02 | sk_X(X0, (^[Y0 : a]: $false)) 113.97/17.02 | ~ cA(sk_Xy(X0)) 113.97/17.02 | ~ sk_Xy(X0, t) 113.97/17.02 | X0(sk_Xx0(X0))), 113.97/17.02 inference('cnf', [status(esa)], [zf_stmt_0])). 113.97/17.02 tff('49', plain, ![X1 : a]: ~ '#l_lift2'(X1), define([status(thm)])). 113.97/17.02 tff('50', plain, 113.97/17.02 ![X0 : a > $o]: 113.97/17.02 ( cA(sk_Xx) 113.97/17.02 | sk_X(X0, '#l_lift2') 113.97/17.02 | ~ cA(sk_Xy(X0)) 113.97/17.02 | ~ sk_Xy(X0, t) 113.97/17.02 | X0(sk_Xx0(X0))), 113.97/17.02 inference('lambda_lifting', [status(thm)], ['48', '49'])). 113.97/17.02 tff('51', plain, 113.97/17.02 ![X0 : a > $o, X1 : a > $o, X2 : a]: 113.97/17.02 ( cA(sk_Xx) 113.97/17.02 | ~ sk_X(X0, X1) 113.97/17.02 | sk_X(X0, (^[Y0 : a]: ((X2 = Y0) | X1(Y0)))) 113.97/17.02 | ~ X0(X2) 113.97/17.02 | cA(sk_Xy(X0)) 113.97/17.02 | X0(sk_Xx0(X0))), 113.97/17.02 inference('cnf', [status(esa)], [zf_stmt_0])). 113.97/17.02 tff('52', plain, 113.97/17.02 ![X1 : a > $o, X2 : a, X3 : a]: 113.97/17.02 '#l_lift1'(X1, X2, X3) = ((X2 = X3) | X1(X3)), 113.97/17.02 define([status(thm)])). 113.97/17.02 tff('53', plain, 113.97/17.02 ![X0 : a > $o, X1 : a > $o, X2 : a]: 113.97/17.02 ( cA(sk_Xx) 113.97/17.02 | ~ sk_X(X0, X1) 113.97/17.02 | sk_X(X0, '#l_lift1'((^[Y0 : a]: X1(Y0)), X2)) 113.97/17.02 | ~ X0(X2) 113.97/17.02 | cA(sk_Xy(X0)) 113.97/17.02 | X0(sk_Xx0(X0))), 113.97/17.02 inference('lambda_lifting', [status(thm)], ['51', '52'])). 113.97/17.02 tff('54', plain, 113.97/17.02 ![X0 : a > $o, X1 : a > $o, X2 : a]: 113.97/17.02 ( cA(sk_Xx) 113.97/17.02 | ~ sk_X(X0, X1) 113.97/17.02 | sk_X(X0, '#l_lift1'(X1, X2)) 113.97/17.02 | ~ X0(X2) 113.97/17.02 | cA(sk_Xy(X0)) 113.97/17.02 | X0(sk_Xx0(X0))), 113.97/17.02 inference('ho_norm', [status(thm)], ['53'])). 113.97/17.02 tff('55', plain, 113.97/17.02 ![X0 : a > $o, X1 : a > $o, X2 : a]: 113.97/17.02 (~ cA(sk_Xx) 113.97/17.02 | ~ sk_X(X0, X1) 113.97/17.02 | sk_X(X0, (^[Y0 : a]: ((X2 = Y0) | X1(Y0)))) 113.97/17.02 | ~ X0(X2) 113.97/17.02 | cA(sk_Xy(X0)) 113.97/17.02 | X0(sk_Xx0(X0))), 113.97/17.02 inference('cnf', [status(esa)], [zf_stmt_0])). 113.97/17.02 tff('56', plain, 113.97/17.02 ![X1 : a > $o, X2 : a, X3 : a]: 113.97/17.02 '#l_lift1'(X1, X2, X3) = ((X2 = X3) | X1(X3)), 113.97/17.02 define([status(thm)])). 113.97/17.02 tff('57', plain, 113.97/17.02 ![X0 : a > $o, X1 : a > $o, X2 : a]: 113.97/17.02 (~ cA(sk_Xx) 113.97/17.02 | ~ sk_X(X0, X1) 113.97/17.02 | sk_X(X0, '#l_lift1'((^[Y0 : a]: X1(Y0)), X2)) 113.97/17.02 | ~ X0(X2) 113.97/17.02 | cA(sk_Xy(X0)) 113.97/17.02 | X0(sk_Xx0(X0))), 113.97/17.02 inference('lambda_lifting', [status(thm)], ['55', '56'])). 113.97/17.02 tff('58', plain, 113.97/17.02 ![X0 : a > $o, X1 : a > $o, X2 : a]: 113.97/17.02 (~ cA(sk_Xx) 113.97/17.02 | ~ sk_X(X0, X1) 113.97/17.02 | sk_X(X0, '#l_lift1'(X1, X2)) 113.97/17.02 | ~ X0(X2) 113.97/17.02 | cA(sk_Xy(X0)) 113.97/17.02 | X0(sk_Xx0(X0))), 113.97/17.02 inference('ho_norm', [status(thm)], ['57'])). 113.97/17.02 tff('59', plain, 113.97/17.02 ![X0 : a > $o]: 113.97/17.02 ( cA(sk_Xx) 113.97/17.02 | sk_X(X0, (^[Y0 : a]: $false)) 113.97/17.02 | cA(sk_Xy(X0)) 113.97/17.02 | X0(sk_Xx0(X0))), 113.97/17.02 inference('cnf', [status(esa)], [zf_stmt_0])). 113.97/17.02 tff('60', plain, ![X1 : a]: ~ '#l_lift2'(X1), define([status(thm)])). 113.97/17.02 tff('61', plain, 113.97/17.02 ![X0 : a > $o]: 113.97/17.02 ( cA(sk_Xx) | sk_X(X0, '#l_lift2') | cA(sk_Xy(X0)) | X0(sk_Xx0(X0))), 113.97/17.02 inference('lambda_lifting', [status(thm)], ['59', '60'])). 113.97/17.02 tff('62', plain, 113.97/17.02 ![X0 : a > $o]: 113.97/17.02 (~ cA(sk_Xx) 113.97/17.02 | sk_X(X0, (^[Y0 : a]: $false)) 113.97/17.02 | cA(sk_Xy(X0)) 113.97/17.02 | X0(sk_Xx0(X0))), 113.97/17.02 inference('cnf', [status(esa)], [zf_stmt_0])). 113.97/17.02 tff('63', plain, ![X1 : a]: ~ '#l_lift2'(X1), define([status(thm)])). 113.97/17.02 tff('64', plain, 113.97/17.02 ![X0 : a > $o]: 113.97/17.02 (~ cA(sk_Xx) | sk_X(X0, '#l_lift2') | cA(sk_Xy(X0)) | X0(sk_Xx0(X0))), 113.97/17.02 inference('lambda_lifting', [status(thm)], ['62', '63'])). 113.97/17.02 tff('65', plain, 113.97/17.02 ![X0 : a > $o, X3 : a]: 113.97/17.02 (~ cA(sk_Xx) 113.97/17.02 | ~ sk_X(X0, X0) 113.97/17.02 | ~ X0(X3) 113.97/17.02 | sk_Xy(X0, X3) 113.97/17.02 | ~ sk_Xx_1(sk_Xx0(X0))), 113.97/17.02 inference('cnf', [status(esa)], [zf_stmt_0])). 113.97/17.02 tff('66', plain, 113.97/17.02 ![X0 : a > $o, X3 : a]: 113.97/17.02 ( cA(sk_Xx) 113.97/17.02 | ~ sk_X(X0, X0) 113.97/17.02 | ~ X0(X3) 113.97/17.02 | sk_Xy(X0, X3) 113.97/17.02 | ~ sk_Xx_1(sk_Xx0(X0))), 113.97/17.02 inference('cnf', [status(esa)], [zf_stmt_0])). 113.97/17.02 tff('67', plain, ( cA(sk_Xx) | sk_Xx_1(t)), 113.97/17.02 inference('cnf', [status(esa)], [zf_stmt_0])). 113.97/17.02 tff('68', plain, (~ cA(sk_Xx) | sk_Xx_1(t)), 113.97/17.02 inference('cnf', [status(esa)], [zf_stmt_0])). 113.97/17.02 tff('69', plain, sk_Xx_1(t), inference('clc', [status(thm)], ['67', '68'])). 113.97/17.02 tff('70', plain, 113.97/17.02 ![X0 : a > $o, X1 : a > $o, X2 : a, X3 : a]: 113.97/17.02 ( cA(sk_Xx) 113.97/17.02 | ~ sk_X(X0, X1) 113.97/17.02 | sk_X(X0, (^[Y0 : a]: ((X2 = Y0) | X1(Y0)))) 113.97/17.02 | ~ X0(X2) 113.97/17.02 | ~ X0(X3) 113.97/17.02 | sk_Xy(X0, X3) 113.97/17.02 | ~ sk_Xx_1(sk_Xx0(X0))), 113.97/17.02 inference('cnf', [status(esa)], [zf_stmt_0])). 113.97/17.02 tff('71', plain, 113.97/17.02 ![X1 : a > $o, X2 : a, X3 : a]: 113.97/17.02 '#l_lift1'(X1, X2, X3) = ((X2 = X3) | X1(X3)), 113.97/17.02 define([status(thm)])). 113.97/17.02 tff('72', plain, 113.97/17.02 ![X0 : a > $o, X1 : a > $o, X2 : a, X3 : a]: 113.97/17.02 ( cA(sk_Xx) 113.97/17.02 | ~ sk_X(X0, X1) 113.97/17.02 | sk_X(X0, '#l_lift1'((^[Y0 : a]: X1(Y0)), X2)) 113.97/17.02 | ~ X0(X2) 113.97/17.02 | ~ X0(X3) 113.97/17.02 | sk_Xy(X0, X3) 113.97/17.02 | ~ sk_Xx_1(sk_Xx0(X0))), 113.97/17.02 inference('lambda_lifting', [status(thm)], ['70', '71'])). 113.97/17.02 tff('73', plain, 113.97/17.02 ![X0 : a > $o, X1 : a > $o, X2 : a, X3 : a]: 113.97/17.02 ( cA(sk_Xx) 113.97/17.02 | ~ sk_X(X0, X1) 113.97/17.02 | sk_X(X0, '#l_lift1'(X1, X2)) 113.97/17.02 | ~ X0(X2) 113.97/17.02 | ~ X0(X3) 113.97/17.02 | sk_Xy(X0, X3) 113.97/17.02 | ~ sk_Xx_1(sk_Xx0(X0))), 113.97/17.02 inference('ho_norm', [status(thm)], ['72'])). 113.97/17.02 tff('74', plain, 113.97/17.02 ![X0 : a > $o, X1 : a > $o, X2 : a, X3 : a]: 113.97/17.02 (~ cA(sk_Xx) 113.97/17.02 | ~ sk_X(X0, X1) 113.97/17.02 | sk_X(X0, (^[Y0 : a]: ((X2 = Y0) | X1(Y0)))) 113.97/17.02 | ~ X0(X2) 113.97/17.02 | ~ X0(X3) 113.97/17.02 | sk_Xy(X0, X3) 113.97/17.02 | ~ sk_Xx_1(sk_Xx0(X0))), 113.97/17.02 inference('cnf', [status(esa)], [zf_stmt_0])). 113.97/17.02 tff('75', plain, 113.97/17.02 ![X1 : a > $o, X2 : a, X3 : a]: 113.97/17.02 '#l_lift1'(X1, X2, X3) = ((X2 = X3) | X1(X3)), 113.97/17.02 define([status(thm)])). 113.97/17.02 tff('76', plain, 113.97/17.02 ![X0 : a > $o, X1 : a > $o, X2 : a, X3 : a]: 113.97/17.02 (~ cA(sk_Xx) 113.97/17.02 | ~ sk_X(X0, X1) 113.97/17.02 | sk_X(X0, '#l_lift1'((^[Y0 : a]: X1(Y0)), X2)) 113.97/17.02 | ~ X0(X2) 113.97/17.02 | ~ X0(X3) 113.97/17.02 | sk_Xy(X0, X3) 113.97/17.02 | ~ sk_Xx_1(sk_Xx0(X0))), 113.97/17.02 inference('lambda_lifting', [status(thm)], ['74', '75'])). 113.97/17.02 tff('77', plain, 113.97/17.02 ![X0 : a > $o, X1 : a > $o, X2 : a, X3 : a]: 113.97/17.02 (~ cA(sk_Xx) 113.97/17.02 | ~ sk_X(X0, X1) 113.97/17.02 | sk_X(X0, '#l_lift1'(X1, X2)) 113.97/17.02 | ~ X0(X2) 113.97/17.02 | ~ X0(X3) 113.97/17.02 | sk_Xy(X0, X3) 113.97/17.02 | ~ sk_Xx_1(sk_Xx0(X0))), 113.97/17.02 inference('ho_norm', [status(thm)], ['76'])). 113.97/17.02 tff('78', plain, 113.97/17.02 ![X0 : a > $o, X3 : a]: 113.97/17.02 ( cA(sk_Xx) 113.97/17.02 | sk_X(X0, (^[Y0 : a]: $false)) 113.97/17.02 | ~ X0(X3) 113.97/17.02 | sk_Xy(X0, X3) 113.97/17.02 | ~ sk_Xx_1(sk_Xx0(X0))), 113.97/17.02 inference('cnf', [status(esa)], [zf_stmt_0])). 113.97/17.02 tff('79', plain, ![X1 : a]: ~ '#l_lift2'(X1), define([status(thm)])). 113.97/17.02 tff('80', plain, 113.97/17.02 ![X0 : a > $o, X3 : a]: 113.97/17.02 ( cA(sk_Xx) 113.97/17.02 | sk_X(X0, '#l_lift2') 113.97/17.02 | ~ X0(X3) 113.97/17.02 | sk_Xy(X0, X3) 113.97/17.02 | ~ sk_Xx_1(sk_Xx0(X0))), 113.97/17.02 inference('lambda_lifting', [status(thm)], ['78', '79'])). 113.97/17.02 tff('81', plain, 113.97/17.02 ![X0 : a > $o, X3 : a]: 113.97/17.02 (~ cA(sk_Xx) 113.97/17.02 | sk_X(X0, (^[Y0 : a]: $false)) 113.97/17.02 | ~ X0(X3) 113.97/17.02 | sk_Xy(X0, X3) 113.97/17.02 | ~ sk_Xx_1(sk_Xx0(X0))), 113.97/17.02 inference('cnf', [status(esa)], [zf_stmt_0])). 113.97/17.02 tff('82', plain, ![X1 : a]: ~ '#l_lift2'(X1), define([status(thm)])). 113.97/17.02 tff('83', plain, 113.97/17.02 ![X0 : a > $o, X3 : a]: 113.97/17.02 (~ cA(sk_Xx) 113.97/17.02 | sk_X(X0, '#l_lift2') 113.97/17.02 | ~ X0(X3) 113.97/17.02 | sk_Xy(X0, X3) 113.97/17.02 | ~ sk_Xx_1(sk_Xx0(X0))), 113.97/17.02 inference('lambda_lifting', [status(thm)], ['81', '82'])). 113.97/17.02 tff('84', plain, 113.97/17.02 ![X0 : a > $o, X3 : a]: 113.97/17.02 (~ cA(sk_Xx) 113.97/17.02 | ~ sk_X(X0, X0) 113.97/17.02 | ~ X0(X3) 113.97/17.02 | sk_Xy(X0, X3) 113.97/17.02 | X0(sk_Xx0(X0))), 113.97/17.02 inference('cnf', [status(esa)], [zf_stmt_0])). 113.97/17.02 tff('85', plain, 113.97/17.02 ![X0 : a > $o, X3 : a]: 113.97/17.02 ( cA(sk_Xx) 113.97/17.02 | ~ sk_X(X0, X0) 113.97/17.02 | ~ X0(X3) 113.97/17.02 | sk_Xy(X0, X3) 113.97/17.02 | X0(sk_Xx0(X0))), 113.97/17.02 inference('cnf', [status(esa)], [zf_stmt_0])). 113.97/17.02 tff('86', plain, ![X1 : a]: ~ '#l_lift2'(X1), define([status(thm)])). 113.97/17.02 tff('87', plain, 113.97/17.02 ![X0 : a > $o, X1 : a > $o, X2 : a, X3 : a]: 113.97/17.02 (~ cA(sk_Xx) 113.97/17.02 | ~ sk_X(X0, X1) 113.97/17.02 | sk_X(X0, (^[Y0 : a]: ((X2 = Y0) | X1(Y0)))) 113.97/17.02 | ~ X0(X2) 113.97/17.02 | ~ X0(X3) 113.97/17.02 | sk_Xy(X0, X3) 113.97/17.02 | X0(sk_Xx0(X0))), 113.97/17.02 inference('cnf', [status(esa)], [zf_stmt_0])). 113.97/17.02 tff('88', plain, 113.97/17.02 ![X1 : a > $o, X2 : a, X3 : a]: 113.97/17.02 '#l_lift1'(X1, X2, X3) = ((X2 = X3) | X1(X3)), 113.97/17.02 define([status(thm)])). 113.97/17.02 tff('89', plain, 113.97/17.02 ![X0 : a > $o, X1 : a > $o, X2 : a, X3 : a]: 113.97/17.02 (~ cA(sk_Xx) 113.97/17.02 | ~ sk_X(X0, X1) 113.97/17.02 | sk_X(X0, '#l_lift1'((^[Y0 : a]: X1(Y0)), X2)) 113.97/17.02 | ~ X0(X2) 113.97/17.02 | ~ X0(X3) 113.97/17.02 | sk_Xy(X0, X3) 113.97/17.02 | X0(sk_Xx0(X0))), 113.97/17.02 inference('lambda_lifting', [status(thm)], ['87', '88'])). 113.97/17.02 tff('90', plain, 113.97/17.02 ![X0 : a > $o, X1 : a > $o, X2 : a, X3 : a]: 113.97/17.02 (~ cA(sk_Xx) 113.97/17.02 | ~ sk_X(X0, X1) 113.97/17.02 | sk_X(X0, '#l_lift1'(X1, X2)) 113.97/17.02 | ~ X0(X2) 113.97/17.02 | ~ X0(X3) 113.97/17.02 | sk_Xy(X0, X3) 113.97/17.02 | X0(sk_Xx0(X0))), 113.97/17.02 inference('ho_norm', [status(thm)], ['89'])). 113.97/17.02 tff('91', plain, 113.97/17.02 ![X0 : a > $o, X1 : a > $o, X2 : a, X3 : a]: 113.97/17.02 ( cA(sk_Xx) 113.97/17.02 | ~ sk_X(X0, X1) 113.97/17.02 | sk_X(X0, (^[Y0 : a]: ((X2 = Y0) | X1(Y0)))) 113.97/17.02 | ~ X0(X2) 113.97/17.02 | ~ X0(X3) 113.97/17.02 | sk_Xy(X0, X3) 113.97/17.02 | X0(sk_Xx0(X0))), 113.97/17.02 inference('cnf', [status(esa)], [zf_stmt_0])). 113.97/17.02 tff('92', plain, 113.97/17.02 ![X1 : a > $o, X2 : a, X3 : a]: 113.97/17.02 '#l_lift1'(X1, X2, X3) = ((X2 = X3) | X1(X3)), 113.97/17.02 define([status(thm)])). 113.97/17.02 tff('93', plain, 113.97/17.02 ![X0 : a > $o, X1 : a > $o, X2 : a, X3 : a]: 113.97/17.02 ( cA(sk_Xx) 113.97/17.02 | ~ sk_X(X0, X1) 113.97/17.02 | sk_X(X0, '#l_lift1'((^[Y0 : a]: X1(Y0)), X2)) 113.97/17.02 | ~ X0(X2) 113.97/17.02 | ~ X0(X3) 113.97/17.02 | sk_Xy(X0, X3) 113.97/17.02 | X0(sk_Xx0(X0))), 113.97/17.02 inference('lambda_lifting', [status(thm)], ['91', '92'])). 113.97/17.02 tff('94', plain, 113.97/17.02 ![X0 : a > $o, X1 : a > $o, X2 : a, X3 : a]: 113.97/17.02 ( cA(sk_Xx) 113.97/17.02 | ~ sk_X(X0, X1) 113.97/17.02 | sk_X(X0, '#l_lift1'(X1, X2)) 113.97/17.02 | ~ X0(X2) 113.97/17.02 | ~ X0(X3) 113.97/17.02 | sk_Xy(X0, X3) 113.97/17.02 | X0(sk_Xx0(X0))), 113.97/17.02 inference('ho_norm', [status(thm)], ['93'])). 113.97/17.02 tff('95', plain, 113.97/17.02 ![X1 : a > $o, X2 : a, X3 : a]: 113.97/17.02 '#l_lift1'(X1, X2, X3) = ((X2 = X3) | X1(X3)), 113.97/17.02 define([status(thm)])). 113.97/17.02 tff('96', plain, 113.97/17.02 ![X1 : a > $o, X2 : a, X3 : a]: 113.97/17.02 '#l_lift1'(X1, X2, X3) = ((X2 = X3) | X1(X3)), 113.97/17.02 define([status(thm)])). 113.97/17.02 tff('97', plain, 113.97/17.02 ![X0 : a > $o, X2 : a, X3 : a]: ( '#l_lift1'(X0, X2, X3) | X2 != X3), 113.97/17.02 inference('cnf_otf', [status(thm)], ['96'])). 113.97/17.02 tff('98', plain, ![X0 : a > $o, X3 : a]: '#l_lift1'(X0, X3, X3), 113.97/17.02 inference('simplify', [status(thm)], ['97'])). 113.97/17.02 tff('99', plain, 113.97/17.02 ![X0 : a > $o, X3 : a]: 113.97/17.02 ( cA(sk_Xx) 113.97/17.02 | sk_X(X0, (^[Y0 : a]: $false)) 113.97/17.02 | ~ X0(X3) 113.97/17.02 | sk_Xy(X0, X3) 113.97/17.02 | X0(sk_Xx0(X0))), 113.97/17.02 inference('cnf', [status(esa)], [zf_stmt_0])). 113.97/17.02 tff('100', plain, ![X1 : a]: ~ '#l_lift2'(X1), define([status(thm)])). 113.97/17.02 tff('101', plain, 113.97/17.02 ![X0 : a > $o, X3 : a]: 113.97/17.02 ( cA(sk_Xx) 113.97/17.02 | sk_X(X0, '#l_lift2') 113.97/17.02 | ~ X0(X3) 113.97/17.02 | sk_Xy(X0, X3) 113.97/17.02 | X0(sk_Xx0(X0))), 113.97/17.02 inference('lambda_lifting', [status(thm)], ['99', '100'])). 113.97/17.02 tff('102', plain, 113.97/17.02 ![X0 : a > $o, X3 : a]: 113.97/17.02 (~ cA(sk_Xx) 113.97/17.02 | sk_X(X0, (^[Y0 : a]: $false)) 113.97/17.02 | ~ X0(X3) 113.97/17.02 | sk_Xy(X0, X3) 113.97/17.02 | X0(sk_Xx0(X0))), 113.97/17.02 inference('cnf', [status(esa)], [zf_stmt_0])). 113.97/17.02 tff('103', plain, ![X1 : a]: ~ '#l_lift2'(X1), define([status(thm)])). 113.97/17.02 tff('104', plain, 113.97/17.02 ![X0 : a > $o, X3 : a]: 113.97/17.02 (~ cA(sk_Xx) 113.97/17.02 | sk_X(X0, '#l_lift2') 113.97/17.02 | ~ X0(X3) 113.97/17.02 | sk_Xy(X0, X3) 113.97/17.02 | X0(sk_Xx0(X0))), 113.97/17.02 inference('lambda_lifting', [status(thm)], ['102', '103'])). 113.97/17.02 tff('105', plain, $false, 113.97/17.02 inference('eprover', [status(thm)], 113.97/17.02 ['3', '8', '9', '12', '15', '16', '17', '18', '21', '24', 113.97/17.02 '28', '32', '33', '34', '35', '36', '40', '43', '47', '50', 113.97/17.02 '54', '58', '61', '64', '65', '66', '69', '73', '77', '80', 113.97/17.02 '83', '84', '85', '86', '90', '94', '95', '98', '101', '104'])). 113.97/17.02 113.97/17.02 % SZS output end Refutation 113.97/17.02 113.97/17.02 113.97/17.02 % Terminating... 113.99/17.08 % Runner terminated. 113.99/17.08 % Zipperpin 1.5 exiting 113.99/17.08 EOF