0.12/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.12/0.13 % Command : run_portfolio.sh /export/starexec/sandbox2/benchmark/theBenchmark.p /export/starexec/sandbox2/tmp/tmp.VLIVp8MDBu 0.13/0.34 % Computer : n014.cluster.edu 0.13/0.34 % Model : x86_64 x86_64 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.13/0.34 % Memory : 8042.1875MB 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64 0.13/0.34 % CPULimit : 1200 0.13/0.34 % DateTime : Thu Jul 15 06:00:03 EDT 2021 0.13/0.34 % CPUTime : 0.13/0.34 % Running portfolio for 120 s 0.13/0.34 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p 0.13/0.35 % Number of cores: 8 0.13/0.35 % Python version: Python 3.6.8 0.13/0.35 % Running in HO mode 0.51/0.63 % Estimated wc time : 1286 0.51/0.63 % Estimated cpu time (7 cpus) : 183.71428571428572 0.54/0.68 % /export/starexec/sandbox2/solver/bin/lams/s6.sh running for 21s 0.54/0.70 % /export/starexec/sandbox2/solver/bin/lams/new_b3.2.norw.sh running for 15s 0.54/0.72 % /export/starexec/sandbox2/solver/bin/lams/b.rpo.sh running for 21s 0.54/0.73 % /export/starexec/sandbox2/solver/bin/lams/s6.ds.sh running for 10s 0.55/0.74 % /export/starexec/sandbox2/solver/bin/lams/c.s.2.sh running for 68s 0.55/0.74 % /export/starexec/sandbox2/solver/bin/lams/c.easy.sh running for 26s 0.55/0.75 % /export/starexec/sandbox2/solver/bin/lams/old_b3.avatar.sh running for 15s 69.54/10.54 % /export/starexec/sandbox2/solver/bin/lams/old_sp2.sh running for 17s 104.78/15.57 % /export/starexec/sandbox2/solver/bin/lams/b.sh running for 31s 106.14/15.77 % /export/starexec/sandbox2/solver/bin/lams/sh1.sh running for 26s 115.23/17.13 % Solved by lams/sh1.sh. 115.23/17.13 % Running : timeout 12 /export/starexec/sandbox2/solver/bin/lams/eprover-ho --pos-ext=all --neg-ext=all /export/starexec/sandbox2/tmp/tmp.VLIVp8MDBu/e_input255a14 --cpu-limit=10 --auto -s -p. 115.23/17.13 % done 113 iterations in 1.337s 115.23/17.13 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p' 115.23/17.13 % SZS output start Refutation 115.23/17.13 tff(cDOMLEMMA5_pme, conjecture, 115.23/17.13 ((![Xx:((a > $o))]: ((cA(Xx) & Xx(t)) => cA(Xx))) & 115.23/17.13 (![Xx:((a > $o))]: 115.23/17.13 ((cA(Xx) & Xx(t)) => 115.23/17.13 (?[Xe:((a > $o))]: 115.23/17.13 ((![X:(((a > $o) > $o))]: 115.23/17.13 ((X(^[Xy:a]: $false) & 115.23/17.13 (![Xx0:((a > $o))]: 115.23/17.13 (X(Xx0) => 115.23/17.13 (![Xt0:a]: 115.23/17.13 (Xe(Xt0) => X(^[Xz:a]: (Xx0(Xz) | (Xt0 = Xz)))))))) => 115.23/17.13 X(Xe))) & 115.23/17.13 (![Xx0:a]: (Xe(Xx0) => Xx(Xx0))) & 115.23/17.13 (![Xy:((a > $o))]: 115.23/17.13 (((![Xx0:a]: (Xe(Xx0) => Xy(Xx0))) & cA(Xy)) => 115.23/17.13 (Xy(t) & cA(Xy)))))))))). 115.23/17.13 tff(zf_stmt_0, negated_conjecture, 115.23/17.13 (~ 115.23/17.13 ((![Xx:((a > $o))]: ((cA(Xx) & Xx(t)) => cA(Xx))) & 115.23/17.13 (![Xx:((a > $o))]: 115.23/17.13 ((cA(Xx) & Xx(t)) => 115.23/17.13 (?[Xe:((a > $o))]: 115.23/17.13 ((![X:(((a > $o) > $o))]: 115.23/17.13 ((X(^[Xy:a]: $false) & 115.23/17.13 (![Xx0:((a > $o))]: 115.23/17.13 (X(Xx0) => 115.23/17.13 (![Xt0:a]: 115.23/17.13 (Xe(Xt0) => X(^[Xz:a]: (Xx0(Xz) | (Xt0 = Xz)))))))) => 115.23/17.13 X(Xe))) & 115.23/17.13 (![Xx0:a]: (Xe(Xx0) => Xx(Xx0))) & 115.23/17.13 (![Xy:((a > $o))]: 115.23/17.13 (((![Xx0:a]: (Xe(Xx0) => Xy(Xx0))) & cA(Xy)) => 115.23/17.13 (Xy(t) & cA(Xy))))))))))). 115.23/17.13 tff('0', plain, 115.23/17.13 ![X0 : a > $o]: 115.23/17.13 (~ cA(sk_Xx) 115.23/17.13 | ~ sk_X(X0, X0) 115.23/17.13 | X0(sk_Xx0(X0)) 115.23/17.13 | ~ sk_Xy(X0, t) 115.23/17.13 | ~ cA(sk_Xy(X0))), 115.23/17.13 inference('cnf', [status(esa)], [zf_stmt_0])). 115.23/17.13 tff('1', plain, 115.23/17.13 ![X0 : a > $o]: 115.23/17.13 ( cA(sk_Xx) 115.23/17.13 | ~ sk_X(X0, X0) 115.23/17.13 | ~ sk_Xx_1(sk_Xx0(X0)) 115.23/17.13 | ~ sk_Xy(X0, t) 115.23/17.13 | ~ cA(sk_Xy(X0))), 115.23/17.13 inference('cnf', [status(esa)], [zf_stmt_0])). 115.23/17.13 tff('2', plain, 115.23/17.13 ![X0 : a > $o]: 115.23/17.13 (~ cA(sk_Xx) 115.23/17.13 | ~ sk_X(X0, X0) 115.23/17.13 | ~ sk_Xx_1(sk_Xx0(X0)) 115.23/17.13 | ~ sk_Xy(X0, t) 115.23/17.13 | ~ cA(sk_Xy(X0))), 115.23/17.13 inference('cnf', [status(esa)], [zf_stmt_0])). 115.23/17.13 tff('3', plain, 115.23/17.13 ![X0 : a > $o]: 115.23/17.13 (~ cA(sk_Xx) | ~ sk_X(X0, X0) | ~ sk_Xx_1(sk_Xx0(X0)) | cA(sk_Xy(X0))), 115.23/17.13 inference('cnf', [status(esa)], [zf_stmt_0])). 115.23/17.13 tff('4', plain, 115.23/17.13 ![X0 : a > $o]: 115.23/17.13 ( cA(sk_Xx) | ~ sk_X(X0, X0) | ~ sk_Xx_1(sk_Xx0(X0)) | cA(sk_Xy(X0))), 115.23/17.13 inference('cnf', [status(esa)], [zf_stmt_0])). 115.23/17.13 tff('5', plain, 115.23/17.13 ![X0 : a > $o]: 115.23/17.13 ( cA(sk_Xx) 115.23/17.13 | sk_X(X0, (^[Y0 : a]: $false)) 115.23/17.13 | ~ sk_Xx_1(sk_Xx0(X0)) 115.23/17.13 | ~ sk_Xy(X0, t) 115.23/17.13 | ~ cA(sk_Xy(X0))), 115.23/17.13 inference('cnf', [status(esa)], [zf_stmt_0])). 115.23/17.13 tff('6', plain, 115.23/17.13 ![X0 : a > $o]: 115.23/17.13 (~ cA(sk_Xx) 115.23/17.13 | sk_X(X0, (^[Y0 : a]: $false)) 115.23/17.13 | ~ sk_Xx_1(sk_Xx0(X0)) 115.23/17.13 | ~ sk_Xy(X0, t) 115.23/17.13 | ~ cA(sk_Xy(X0))), 115.23/17.13 inference('cnf', [status(esa)], [zf_stmt_0])). 115.23/17.13 tff('7', plain, ![X1 : a]: ~ '#l_lift1'(X1), define([status(thm)])). 115.23/17.13 tff('8', plain, 115.23/17.13 ![X0 : a > $o]: 115.23/17.13 ( cA(sk_Xx) 115.23/17.13 | sk_X(X0, '#l_lift1') 115.23/17.13 | ~ sk_Xx_1(sk_Xx0(X0)) 115.23/17.13 | ~ sk_Xy(X0, t) 115.23/17.13 | ~ cA(sk_Xy(X0))), 115.23/17.13 inference('lambda_lifting', [status(thm)], ['5', '7'])). 115.23/17.13 tff('9', plain, 115.23/17.13 ![X0 : a > $o, X2 : a > $o, X3 : a]: 115.23/17.13 ( cA(sk_Xx) 115.23/17.13 | ~ sk_X(X0, X2) 115.23/17.13 | sk_X(X0, (^[Y0 : a]: (X2(Y0) | (X3 = Y0)))) 115.23/17.13 | ~ X0(X3) 115.23/17.13 | ~ sk_Xx_1(sk_Xx0(X0)) 115.23/17.13 | ~ sk_Xy(X0, t) 115.23/17.13 | ~ cA(sk_Xy(X0))), 115.23/17.13 inference('cnf', [status(esa)], [zf_stmt_0])). 115.23/17.13 tff('10', plain, 115.23/17.13 ![X0 : a > $o, X2 : a > $o, X3 : a]: 115.23/17.13 (~ cA(sk_Xx) 115.23/17.13 | ~ sk_X(X0, X2) 115.23/17.13 | sk_X(X0, (^[Y0 : a]: (X2(Y0) | (X3 = Y0)))) 115.23/17.13 | ~ X0(X3) 115.23/17.13 | ~ sk_Xx_1(sk_Xx0(X0)) 115.23/17.13 | ~ sk_Xy(X0, t) 115.23/17.13 | ~ cA(sk_Xy(X0))), 115.23/17.13 inference('cnf', [status(esa)], [zf_stmt_0])). 115.23/17.13 tff('11', plain, 115.23/17.13 ![X2 : a > $o, X3 : a, X4 : a]: 115.23/17.13 '#l_lift2'(X2, X3, X4) = (X2(X4) | (X3 = X4)), 115.23/17.13 define([status(thm)])). 115.23/17.13 tff('12', plain, 115.23/17.13 ![X0 : a > $o, X2 : a > $o, X3 : a]: 115.23/17.13 ( cA(sk_Xx) 115.23/17.13 | ~ sk_X(X0, X2) 115.23/17.13 | sk_X(X0, '#l_lift2'((^[Y0 : a]: X2(Y0)), X3)) 115.23/17.13 | ~ X0(X3) 115.23/17.13 | ~ sk_Xx_1(sk_Xx0(X0)) 115.23/17.13 | ~ sk_Xy(X0, t) 115.23/17.13 | ~ cA(sk_Xy(X0))), 115.23/17.13 inference('lambda_lifting', [status(thm)], ['9', '11'])). 115.23/17.13 tff('13', plain, 115.23/17.13 ![X0 : a > $o, X2 : a > $o, X3 : a]: 115.23/17.13 ( cA(sk_Xx) 115.23/17.13 | ~ sk_X(X0, X2) 115.23/17.13 | sk_X(X0, '#l_lift2'(X2, X3)) 115.23/17.13 | ~ X0(X3) 115.23/17.13 | ~ sk_Xx_1(sk_Xx0(X0)) 115.23/17.13 | ~ sk_Xy(X0, t) 115.23/17.13 | ~ cA(sk_Xy(X0))), 115.23/17.13 inference('ho_norm', [status(thm)], ['12'])). 115.23/17.13 tff('14', plain, 115.23/17.13 ![X0 : a > $o]: 115.23/17.13 (~ cA(sk_Xx) 115.23/17.13 | sk_X(X0, (^[Y0 : a]: $false)) 115.23/17.13 | ~ sk_Xx_1(sk_Xx0(X0)) 115.23/17.13 | ~ sk_Xy(X0, t) 115.23/17.13 | ~ cA(sk_Xy(X0))), 115.23/17.13 inference('cnf', [status(esa)], [zf_stmt_0])). 115.23/17.13 tff('15', plain, ![X1 : a]: ~ '#l_lift1'(X1), define([status(thm)])). 115.23/17.13 tff('16', plain, 115.23/17.13 ![X0 : a > $o]: 115.23/17.13 (~ cA(sk_Xx) 115.23/17.13 | sk_X(X0, '#l_lift1') 115.23/17.13 | ~ sk_Xx_1(sk_Xx0(X0)) 115.23/17.13 | ~ sk_Xy(X0, t) 115.23/17.13 | ~ cA(sk_Xy(X0))), 115.23/17.13 inference('lambda_lifting', [status(thm)], ['14', '15'])). 115.23/17.13 tff('17', plain, 115.23/17.13 ![X0 : a > $o, X2 : a > $o, X3 : a]: 115.23/17.13 (~ cA(sk_Xx) 115.23/17.13 | ~ sk_X(X0, X2) 115.23/17.13 | sk_X(X0, (^[Y0 : a]: (X2(Y0) | (X3 = Y0)))) 115.23/17.13 | ~ X0(X3) 115.23/17.13 | ~ sk_Xx_1(sk_Xx0(X0)) 115.23/17.13 | ~ sk_Xy(X0, t) 115.23/17.13 | ~ cA(sk_Xy(X0))), 115.23/17.13 inference('cnf', [status(esa)], [zf_stmt_0])). 115.23/17.13 tff('18', plain, 115.23/17.13 ![X2 : a > $o, X3 : a, X4 : a]: 115.23/17.13 '#l_lift2'(X2, X3, X4) = (X2(X4) | (X3 = X4)), 115.23/17.13 define([status(thm)])). 115.23/17.13 tff('19', plain, 115.23/17.13 ![X0 : a > $o, X2 : a > $o, X3 : a]: 115.23/17.13 (~ cA(sk_Xx) 115.23/17.13 | ~ sk_X(X0, X2) 115.23/17.13 | sk_X(X0, '#l_lift2'(X2, X3)) 115.23/17.13 | ~ X0(X3) 115.23/17.13 | ~ sk_Xx_1(sk_Xx0(X0)) 115.23/17.13 | ~ sk_Xy(X0, t) 115.23/17.13 | ~ cA(sk_Xy(X0))), 115.23/17.13 inference('lambda_lifting', [status(thm)], ['17', '18'])). 115.23/17.13 tff('20', plain, 115.23/17.13 ![X0 : a > $o]: 115.23/17.13 ( cA(sk_Xx) 115.23/17.13 | sk_X(X0, (^[Y0 : a]: $false)) 115.23/17.13 | ~ sk_Xx_1(sk_Xx0(X0)) 115.23/17.13 | cA(sk_Xy(X0))), 115.23/17.13 inference('cnf', [status(esa)], [zf_stmt_0])). 115.23/17.13 tff('21', plain, ![X1 : a]: ~ '#l_lift1'(X1), define([status(thm)])). 115.23/17.13 tff('22', plain, 115.23/17.13 ![X0 : a > $o]: 115.23/17.13 ( cA(sk_Xx) 115.23/17.13 | sk_X(X0, '#l_lift1') 115.23/17.13 | ~ sk_Xx_1(sk_Xx0(X0)) 115.23/17.13 | cA(sk_Xy(X0))), 115.23/17.13 inference('lambda_lifting', [status(thm)], ['20', '21'])). 115.23/17.13 tff('23', plain, 115.23/17.13 ![X0 : a > $o]: 115.23/17.13 (~ cA(sk_Xx) 115.23/17.13 | sk_X(X0, (^[Y0 : a]: $false)) 115.23/17.13 | ~ sk_Xx_1(sk_Xx0(X0)) 115.23/17.13 | cA(sk_Xy(X0))), 115.23/17.13 inference('cnf', [status(esa)], [zf_stmt_0])). 115.23/17.13 tff('24', plain, ![X1 : a]: ~ '#l_lift1'(X1), define([status(thm)])). 115.23/17.13 tff('25', plain, 115.23/17.13 ![X0 : a > $o]: 115.23/17.13 (~ cA(sk_Xx) 115.23/17.13 | sk_X(X0, '#l_lift1') 115.23/17.13 | ~ sk_Xx_1(sk_Xx0(X0)) 115.23/17.13 | cA(sk_Xy(X0))), 115.23/17.13 inference('lambda_lifting', [status(thm)], ['23', '24'])). 115.23/17.13 tff('26', plain, 115.23/17.13 ![X0 : a > $o, X2 : a > $o, X3 : a]: 115.23/17.13 (~ cA(sk_Xx) 115.23/17.13 | ~ sk_X(X0, X2) 115.23/17.13 | sk_X(X0, (^[Y0 : a]: (X2(Y0) | (X3 = Y0)))) 115.23/17.13 | ~ X0(X3) 115.23/17.13 | ~ sk_Xx_1(sk_Xx0(X0)) 115.23/17.13 | cA(sk_Xy(X0))), 115.23/17.13 inference('cnf', [status(esa)], [zf_stmt_0])). 115.23/17.13 tff('27', plain, 115.23/17.13 ![X2 : a > $o, X3 : a, X4 : a]: 115.23/17.13 '#l_lift2'(X2, X3, X4) = (X2(X4) | (X3 = X4)), 115.23/17.13 define([status(thm)])). 115.23/17.13 tff('28', plain, 115.23/17.13 ![X0 : a > $o, X2 : a > $o, X3 : a]: 115.23/17.13 (~ cA(sk_Xx) 115.23/17.13 | ~ sk_X(X0, X2) 115.23/17.13 | sk_X(X0, '#l_lift2'((^[Y0 : a]: X2(Y0)), X3)) 115.23/17.13 | ~ X0(X3) 115.23/17.13 | ~ sk_Xx_1(sk_Xx0(X0)) 115.23/17.13 | cA(sk_Xy(X0))), 115.23/17.13 inference('lambda_lifting', [status(thm)], ['26', '27'])). 115.23/17.13 tff('29', plain, 115.23/17.13 ![X0 : a > $o, X2 : a > $o, X3 : a]: 115.23/17.13 (~ cA(sk_Xx) 115.23/17.13 | ~ sk_X(X0, X2) 115.23/17.13 | sk_X(X0, '#l_lift2'(X2, X3)) 115.23/17.13 | ~ X0(X3) 115.23/17.13 | ~ sk_Xx_1(sk_Xx0(X0)) 115.23/17.13 | cA(sk_Xy(X0))), 115.23/17.13 inference('ho_norm', [status(thm)], ['28'])). 115.23/17.13 tff('30', plain, 115.23/17.13 ![X0 : a > $o, X2 : a > $o, X3 : a]: 115.23/17.13 ( cA(sk_Xx) 115.23/17.13 | ~ sk_X(X0, X2) 115.23/17.13 | sk_X(X0, (^[Y0 : a]: (X2(Y0) | (X3 = Y0)))) 115.23/17.13 | ~ X0(X3) 115.23/17.13 | ~ sk_Xx_1(sk_Xx0(X0)) 115.23/17.13 | cA(sk_Xy(X0))), 115.23/17.13 inference('cnf', [status(esa)], [zf_stmt_0])). 115.23/17.13 tff('31', plain, 115.23/17.13 ![X2 : a > $o, X3 : a, X4 : a]: 115.23/17.13 '#l_lift2'(X2, X3, X4) = (X2(X4) | (X3 = X4)), 115.23/17.13 define([status(thm)])). 115.23/17.13 tff('32', plain, 115.23/17.13 ![X0 : a > $o, X2 : a > $o, X3 : a]: 115.23/17.13 ( cA(sk_Xx) 115.23/17.13 | ~ sk_X(X0, X2) 115.23/17.13 | sk_X(X0, '#l_lift2'((^[Y0 : a]: X2(Y0)), X3)) 115.23/17.13 | ~ X0(X3) 115.23/17.13 | ~ sk_Xx_1(sk_Xx0(X0)) 115.23/17.13 | cA(sk_Xy(X0))), 115.23/17.13 inference('lambda_lifting', [status(thm)], ['30', '31'])). 115.23/17.13 tff('33', plain, 115.23/17.13 ![X0 : a > $o, X2 : a > $o, X3 : a]: 115.23/17.13 ( cA(sk_Xx) 115.23/17.13 | ~ sk_X(X0, X2) 115.23/17.13 | sk_X(X0, '#l_lift2'(X2, X3)) 115.23/17.13 | ~ X0(X3) 115.23/17.13 | ~ sk_Xx_1(sk_Xx0(X0)) 115.23/17.13 | cA(sk_Xy(X0))), 115.23/17.13 inference('ho_norm', [status(thm)], ['32'])). 115.23/17.13 tff('34', plain, 115.23/17.13 ![X0 : a > $o]: 115.23/17.13 ( cA(sk_Xx) 115.23/17.13 | ~ sk_X(X0, X0) 115.23/17.13 | X0(sk_Xx0(X0)) 115.23/17.13 | ~ sk_Xy(X0, t) 115.23/17.13 | ~ cA(sk_Xy(X0))), 115.23/17.13 inference('cnf', [status(esa)], [zf_stmt_0])). 115.23/17.13 tff('35', plain, 115.23/17.13 ![X0 : a > $o]: 115.23/17.13 ( cA(sk_Xx) | ~ sk_X(X0, X0) | X0(sk_Xx0(X0)) | cA(sk_Xy(X0))), 115.23/17.13 inference('cnf', [status(esa)], [zf_stmt_0])). 115.23/17.13 tff('36', plain, 115.23/17.13 ![X0 : a > $o]: 115.23/17.13 (~ cA(sk_Xx) | ~ sk_X(X0, X0) | X0(sk_Xx0(X0)) | cA(sk_Xy(X0))), 115.23/17.13 inference('cnf', [status(esa)], [zf_stmt_0])). 115.23/17.13 tff('37', plain, 115.23/17.13 ![X0 : a > $o, X2 : a > $o, X3 : a]: 115.23/17.13 ( cA(sk_Xx) 115.23/17.13 | ~ sk_X(X0, X2) 115.23/17.13 | sk_X(X0, (^[Y0 : a]: (X2(Y0) | (X3 = Y0)))) 115.23/17.13 | ~ X0(X3) 115.23/17.13 | X0(sk_Xx0(X0)) 115.23/17.13 | ~ sk_Xy(X0, t) 115.23/17.13 | ~ cA(sk_Xy(X0))), 115.23/17.13 inference('cnf', [status(esa)], [zf_stmt_0])). 115.23/17.13 tff('38', plain, 115.23/17.13 ![X2 : a > $o, X3 : a, X4 : a]: 115.23/17.13 '#l_lift2'(X2, X3, X4) = (X2(X4) | (X3 = X4)), 115.23/17.13 define([status(thm)])). 115.23/17.13 tff('39', plain, 115.23/17.13 ![X0 : a > $o, X2 : a > $o, X3 : a]: 115.23/17.13 ( cA(sk_Xx) 115.23/17.13 | ~ sk_X(X0, X2) 115.23/17.13 | sk_X(X0, '#l_lift2'((^[Y0 : a]: X2(Y0)), X3)) 115.23/17.13 | ~ X0(X3) 115.23/17.13 | X0(sk_Xx0(X0)) 115.23/17.13 | ~ sk_Xy(X0, t) 115.23/17.13 | ~ cA(sk_Xy(X0))), 115.23/17.13 inference('lambda_lifting', [status(thm)], ['37', '38'])). 115.23/17.13 tff('40', plain, 115.23/17.13 ![X0 : a > $o, X2 : a > $o, X3 : a]: 115.23/17.13 ( cA(sk_Xx) 115.23/17.13 | ~ sk_X(X0, X2) 115.23/17.13 | sk_X(X0, '#l_lift2'(X2, X3)) 115.23/17.13 | ~ X0(X3) 115.23/17.13 | X0(sk_Xx0(X0)) 115.23/17.13 | ~ sk_Xy(X0, t) 115.23/17.13 | ~ cA(sk_Xy(X0))), 115.23/17.13 inference('ho_norm', [status(thm)], ['39'])). 115.23/17.13 tff('41', plain, 115.23/17.13 ![X0 : a > $o]: 115.23/17.13 ( cA(sk_Xx) 115.23/17.13 | sk_X(X0, (^[Y0 : a]: $false)) 115.23/17.13 | X0(sk_Xx0(X0)) 115.23/17.13 | ~ sk_Xy(X0, t) 115.23/17.13 | ~ cA(sk_Xy(X0))), 115.23/17.13 inference('cnf', [status(esa)], [zf_stmt_0])). 115.23/17.13 tff('42', plain, ![X1 : a]: ~ '#l_lift1'(X1), define([status(thm)])). 115.23/17.13 tff('43', plain, 115.23/17.13 ![X0 : a > $o]: 115.23/17.13 ( cA(sk_Xx) 115.23/17.13 | sk_X(X0, '#l_lift1') 115.23/17.13 | X0(sk_Xx0(X0)) 115.23/17.13 | ~ sk_Xy(X0, t) 115.23/17.13 | ~ cA(sk_Xy(X0))), 115.23/17.13 inference('lambda_lifting', [status(thm)], ['41', '42'])). 115.23/17.13 tff('44', plain, 115.23/17.13 ![X0 : a > $o, X2 : a > $o, X3 : a]: 115.23/17.13 (~ cA(sk_Xx) 115.23/17.13 | ~ sk_X(X0, X2) 115.23/17.13 | sk_X(X0, (^[Y0 : a]: (X2(Y0) | (X3 = Y0)))) 115.23/17.13 | ~ X0(X3) 115.23/17.13 | X0(sk_Xx0(X0)) 115.23/17.13 | ~ sk_Xy(X0, t) 115.23/17.13 | ~ cA(sk_Xy(X0))), 115.23/17.13 inference('cnf', [status(esa)], [zf_stmt_0])). 115.23/17.13 tff('45', plain, 115.23/17.13 ![X2 : a > $o, X3 : a, X4 : a]: 115.23/17.13 '#l_lift2'(X2, X3, X4) = (X2(X4) | (X3 = X4)), 115.23/17.13 define([status(thm)])). 115.23/17.13 tff('46', plain, 115.23/17.13 ![X0 : a > $o, X2 : a > $o, X3 : a]: 115.23/17.13 (~ cA(sk_Xx) 115.23/17.13 | ~ sk_X(X0, X2) 115.23/17.13 | sk_X(X0, '#l_lift2'((^[Y0 : a]: X2(Y0)), X3)) 115.23/17.13 | ~ X0(X3) 115.23/17.13 | X0(sk_Xx0(X0)) 115.23/17.13 | ~ sk_Xy(X0, t) 115.23/17.13 | ~ cA(sk_Xy(X0))), 115.23/17.13 inference('lambda_lifting', [status(thm)], ['44', '45'])). 115.23/17.13 tff('47', plain, 115.23/17.13 ![X0 : a > $o, X2 : a > $o, X3 : a]: 115.23/17.13 (~ cA(sk_Xx) 115.23/17.13 | ~ sk_X(X0, X2) 115.23/17.13 | sk_X(X0, '#l_lift2'(X2, X3)) 115.23/17.13 | ~ X0(X3) 115.23/17.13 | X0(sk_Xx0(X0)) 115.23/17.13 | ~ sk_Xy(X0, t) 115.23/17.13 | ~ cA(sk_Xy(X0))), 115.23/17.13 inference('ho_norm', [status(thm)], ['46'])). 115.23/17.13 tff('48', plain, 115.23/17.13 ![X0 : a > $o]: 115.23/17.13 (~ cA(sk_Xx) 115.23/17.13 | sk_X(X0, (^[Y0 : a]: $false)) 115.23/17.13 | X0(sk_Xx0(X0)) 115.23/17.13 | ~ sk_Xy(X0, t) 115.23/17.13 | ~ cA(sk_Xy(X0))), 115.23/17.13 inference('cnf', [status(esa)], [zf_stmt_0])). 115.23/17.13 tff('49', plain, ![X1 : a]: ~ '#l_lift1'(X1), define([status(thm)])). 115.23/17.13 tff('50', plain, 115.23/17.13 ![X0 : a > $o]: 115.23/17.13 (~ cA(sk_Xx) 115.23/17.13 | sk_X(X0, '#l_lift1') 115.23/17.13 | X0(sk_Xx0(X0)) 115.23/17.13 | ~ sk_Xy(X0, t) 115.23/17.13 | ~ cA(sk_Xy(X0))), 115.23/17.13 inference('lambda_lifting', [status(thm)], ['48', '49'])). 115.23/17.13 tff('51', plain, 115.23/17.13 ![X0 : a > $o, X2 : a > $o, X3 : a]: 115.23/17.13 ( cA(sk_Xx) 115.23/17.13 | ~ sk_X(X0, X2) 115.23/17.13 | sk_X(X0, (^[Y0 : a]: (X2(Y0) | (X3 = Y0)))) 115.23/17.13 | ~ X0(X3) 115.23/17.13 | X0(sk_Xx0(X0)) 115.23/17.13 | cA(sk_Xy(X0))), 115.23/17.13 inference('cnf', [status(esa)], [zf_stmt_0])). 115.23/17.13 tff('52', plain, 115.23/17.13 ![X2 : a > $o, X3 : a, X4 : a]: 115.23/17.13 '#l_lift2'(X2, X3, X4) = (X2(X4) | (X3 = X4)), 115.23/17.13 define([status(thm)])). 115.23/17.13 tff('53', plain, 115.23/17.13 ![X0 : a > $o, X2 : a > $o, X3 : a]: 115.23/17.13 ( cA(sk_Xx) 115.23/17.13 | ~ sk_X(X0, X2) 115.23/17.13 | sk_X(X0, '#l_lift2'((^[Y0 : a]: X2(Y0)), X3)) 115.23/17.13 | ~ X0(X3) 115.23/17.13 | X0(sk_Xx0(X0)) 115.23/17.13 | cA(sk_Xy(X0))), 115.23/17.13 inference('lambda_lifting', [status(thm)], ['51', '52'])). 115.23/17.13 tff('54', plain, 115.23/17.13 ![X0 : a > $o, X2 : a > $o, X3 : a]: 115.23/17.13 ( cA(sk_Xx) 115.23/17.13 | ~ sk_X(X0, X2) 115.23/17.13 | sk_X(X0, '#l_lift2'(X2, X3)) 115.23/17.13 | ~ X0(X3) 115.23/17.13 | X0(sk_Xx0(X0)) 115.23/17.13 | cA(sk_Xy(X0))), 115.23/17.13 inference('ho_norm', [status(thm)], ['53'])). 115.23/17.13 tff('55', plain, 115.23/17.13 ![X0 : a > $o, X2 : a > $o, X3 : a]: 115.23/17.13 (~ cA(sk_Xx) 115.23/17.13 | ~ sk_X(X0, X2) 115.23/17.13 | sk_X(X0, (^[Y0 : a]: (X2(Y0) | (X3 = Y0)))) 115.23/17.13 | ~ X0(X3) 115.23/17.13 | X0(sk_Xx0(X0)) 115.23/17.13 | cA(sk_Xy(X0))), 115.23/17.13 inference('cnf', [status(esa)], [zf_stmt_0])). 115.23/17.13 tff('56', plain, 115.23/17.13 ![X2 : a > $o, X3 : a, X4 : a]: 115.23/17.13 '#l_lift2'(X2, X3, X4) = (X2(X4) | (X3 = X4)), 115.23/17.13 define([status(thm)])). 115.23/17.13 tff('57', plain, 115.23/17.13 ![X0 : a > $o, X2 : a > $o, X3 : a]: 115.23/17.13 (~ cA(sk_Xx) 115.23/17.13 | ~ sk_X(X0, X2) 115.23/17.13 | sk_X(X0, '#l_lift2'((^[Y0 : a]: X2(Y0)), X3)) 115.23/17.13 | ~ X0(X3) 115.23/17.13 | X0(sk_Xx0(X0)) 115.23/17.13 | cA(sk_Xy(X0))), 115.23/17.13 inference('lambda_lifting', [status(thm)], ['55', '56'])). 115.23/17.13 tff('58', plain, 115.23/17.13 ![X0 : a > $o, X2 : a > $o, X3 : a]: 115.23/17.13 (~ cA(sk_Xx) 115.23/17.13 | ~ sk_X(X0, X2) 115.23/17.13 | sk_X(X0, '#l_lift2'(X2, X3)) 115.23/17.13 | ~ X0(X3) 115.23/17.13 | X0(sk_Xx0(X0)) 115.23/17.13 | cA(sk_Xy(X0))), 115.23/17.13 inference('ho_norm', [status(thm)], ['57'])). 115.23/17.13 tff('59', plain, 115.23/17.13 ![X0 : a > $o]: 115.23/17.13 ( cA(sk_Xx) 115.23/17.13 | sk_X(X0, (^[Y0 : a]: $false)) 115.23/17.13 | X0(sk_Xx0(X0)) 115.23/17.13 | cA(sk_Xy(X0))), 115.23/17.13 inference('cnf', [status(esa)], [zf_stmt_0])). 115.23/17.13 tff('60', plain, ![X1 : a]: ~ '#l_lift1'(X1), define([status(thm)])). 115.23/17.13 tff('61', plain, 115.23/17.13 ![X0 : a > $o]: 115.23/17.13 ( cA(sk_Xx) | sk_X(X0, '#l_lift1') | X0(sk_Xx0(X0)) | cA(sk_Xy(X0))), 115.23/17.13 inference('lambda_lifting', [status(thm)], ['59', '60'])). 115.23/17.13 tff('62', plain, 115.23/17.13 ![X0 : a > $o]: 115.23/17.13 (~ cA(sk_Xx) 115.23/17.13 | sk_X(X0, (^[Y0 : a]: $false)) 115.23/17.13 | X0(sk_Xx0(X0)) 115.23/17.13 | cA(sk_Xy(X0))), 115.23/17.13 inference('cnf', [status(esa)], [zf_stmt_0])). 115.23/17.13 tff('63', plain, ![X1 : a]: ~ '#l_lift1'(X1), define([status(thm)])). 115.23/17.13 tff('64', plain, 115.23/17.13 ![X0 : a > $o]: 115.23/17.13 (~ cA(sk_Xx) | sk_X(X0, '#l_lift1') | X0(sk_Xx0(X0)) | cA(sk_Xy(X0))), 115.23/17.13 inference('lambda_lifting', [status(thm)], ['62', '63'])). 115.23/17.13 tff('65', plain, 115.23/17.13 ![X0 : a > $o, X1 : a]: 115.23/17.13 (~ cA(sk_Xx) 115.23/17.13 | ~ sk_X(X0, X0) 115.23/17.13 | ~ sk_Xx_1(sk_Xx0(X0)) 115.23/17.13 | sk_Xy(X0, X1) 115.23/17.13 | ~ X0(X1)), 115.23/17.13 inference('cnf', [status(esa)], [zf_stmt_0])). 115.23/17.13 tff('66', plain, 115.23/17.13 ![X0 : a > $o, X1 : a]: 115.23/17.13 ( cA(sk_Xx) 115.23/17.13 | ~ sk_X(X0, X0) 115.23/17.13 | ~ sk_Xx_1(sk_Xx0(X0)) 115.23/17.13 | sk_Xy(X0, X1) 115.23/17.13 | ~ X0(X1)), 115.23/17.13 inference('cnf', [status(esa)], [zf_stmt_0])). 115.23/17.13 tff('67', plain, ( cA(sk_Xx) | sk_Xx_1(t)), 115.23/17.13 inference('cnf', [status(esa)], [zf_stmt_0])). 115.23/17.13 tff('68', plain, (~ cA(sk_Xx) | sk_Xx_1(t)), 115.23/17.13 inference('cnf', [status(esa)], [zf_stmt_0])). 115.23/17.13 tff('69', plain, sk_Xx_1(t), inference('clc', [status(thm)], ['67', '68'])). 115.23/17.13 tff('70', plain, 115.23/17.13 ![X0 : a > $o, X1 : a, X2 : a > $o, X3 : a]: 115.23/17.13 (~ cA(sk_Xx) 115.23/17.13 | ~ sk_X(X0, X2) 115.23/17.13 | sk_X(X0, (^[Y0 : a]: (X2(Y0) | (X3 = Y0)))) 115.23/17.13 | ~ X0(X3) 115.23/17.13 | ~ sk_Xx_1(sk_Xx0(X0)) 115.23/17.13 | sk_Xy(X0, X1) 115.23/17.13 | ~ X0(X1)), 115.23/17.13 inference('cnf', [status(esa)], [zf_stmt_0])). 115.23/17.13 tff('71', plain, 115.23/17.13 ![X2 : a > $o, X3 : a, X4 : a]: 115.23/17.13 '#l_lift2'(X2, X3, X4) = (X2(X4) | (X3 = X4)), 115.23/17.13 define([status(thm)])). 115.23/17.13 tff('72', plain, 115.23/17.13 ![X0 : a > $o, X1 : a, X2 : a > $o, X3 : a]: 115.23/17.13 (~ cA(sk_Xx) 115.23/17.13 | ~ sk_X(X0, X2) 115.23/17.13 | sk_X(X0, '#l_lift2'((^[Y0 : a]: X2(Y0)), X3)) 115.23/17.13 | ~ X0(X3) 115.23/17.13 | ~ sk_Xx_1(sk_Xx0(X0)) 115.23/17.13 | sk_Xy(X0, X1) 115.23/17.13 | ~ X0(X1)), 115.23/17.13 inference('lambda_lifting', [status(thm)], ['70', '71'])). 115.23/17.13 tff('73', plain, 115.23/17.13 ![X0 : a > $o, X1 : a, X2 : a > $o, X3 : a]: 115.23/17.13 (~ cA(sk_Xx) 115.23/17.13 | ~ sk_X(X0, X2) 115.23/17.13 | sk_X(X0, '#l_lift2'(X2, X3)) 115.23/17.13 | ~ X0(X3) 115.23/17.13 | ~ sk_Xx_1(sk_Xx0(X0)) 115.23/17.13 | sk_Xy(X0, X1) 115.23/17.13 | ~ X0(X1)), 115.23/17.13 inference('ho_norm', [status(thm)], ['72'])). 115.23/17.13 tff('74', plain, 115.23/17.13 ![X0 : a > $o, X1 : a, X2 : a > $o, X3 : a]: 115.23/17.13 ( cA(sk_Xx) 115.23/17.13 | ~ sk_X(X0, X2) 115.23/17.13 | sk_X(X0, (^[Y0 : a]: (X2(Y0) | (X3 = Y0)))) 115.23/17.13 | ~ X0(X3) 115.23/17.13 | ~ sk_Xx_1(sk_Xx0(X0)) 115.23/17.13 | sk_Xy(X0, X1) 115.23/17.13 | ~ X0(X1)), 115.23/17.13 inference('cnf', [status(esa)], [zf_stmt_0])). 115.23/17.13 tff('75', plain, 115.23/17.13 ![X2 : a > $o, X3 : a, X4 : a]: 115.23/17.13 '#l_lift2'(X2, X3, X4) = (X2(X4) | (X3 = X4)), 115.23/17.13 define([status(thm)])). 115.23/17.13 tff('76', plain, 115.23/17.13 ![X0 : a > $o, X1 : a, X2 : a > $o, X3 : a]: 115.23/17.13 ( cA(sk_Xx) 115.23/17.13 | ~ sk_X(X0, X2) 115.23/17.13 | sk_X(X0, '#l_lift2'((^[Y0 : a]: X2(Y0)), X3)) 115.23/17.13 | ~ X0(X3) 115.23/17.13 | ~ sk_Xx_1(sk_Xx0(X0)) 115.23/17.13 | sk_Xy(X0, X1) 115.23/17.13 | ~ X0(X1)), 115.23/17.13 inference('lambda_lifting', [status(thm)], ['74', '75'])). 115.23/17.13 tff('77', plain, 115.23/17.13 ![X0 : a > $o, X1 : a, X2 : a > $o, X3 : a]: 115.23/17.13 ( cA(sk_Xx) 115.23/17.13 | ~ sk_X(X0, X2) 115.23/17.13 | sk_X(X0, '#l_lift2'(X2, X3)) 115.23/17.13 | ~ X0(X3) 115.23/17.13 | ~ sk_Xx_1(sk_Xx0(X0)) 115.23/17.13 | sk_Xy(X0, X1) 115.23/17.13 | ~ X0(X1)), 115.23/17.13 inference('ho_norm', [status(thm)], ['76'])). 115.23/17.13 tff('78', plain, 115.23/17.13 ![X0 : a > $o, X1 : a]: 115.23/17.13 ( cA(sk_Xx) 115.23/17.13 | sk_X(X0, (^[Y0 : a]: $false)) 115.23/17.13 | ~ sk_Xx_1(sk_Xx0(X0)) 115.23/17.13 | sk_Xy(X0, X1) 115.23/17.13 | ~ X0(X1)), 115.23/17.13 inference('cnf', [status(esa)], [zf_stmt_0])). 115.23/17.13 tff('79', plain, ![X1 : a]: ~ '#l_lift1'(X1), define([status(thm)])). 115.23/17.13 tff('80', plain, 115.23/17.13 ![X0 : a > $o, X1 : a]: 115.23/17.13 ( cA(sk_Xx) 115.23/17.13 | sk_X(X0, '#l_lift1') 115.23/17.13 | ~ sk_Xx_1(sk_Xx0(X0)) 115.23/17.13 | sk_Xy(X0, X1) 115.23/17.13 | ~ X0(X1)), 115.23/17.13 inference('lambda_lifting', [status(thm)], ['78', '79'])). 115.23/17.13 tff('81', plain, 115.23/17.13 ![X0 : a > $o, X1 : a]: 115.23/17.13 (~ cA(sk_Xx) 115.23/17.13 | sk_X(X0, (^[Y0 : a]: $false)) 115.23/17.13 | ~ sk_Xx_1(sk_Xx0(X0)) 115.23/17.13 | sk_Xy(X0, X1) 115.23/17.13 | ~ X0(X1)), 115.23/17.13 inference('cnf', [status(esa)], [zf_stmt_0])). 115.23/17.13 tff('82', plain, ![X1 : a]: ~ '#l_lift1'(X1), define([status(thm)])). 115.23/17.13 tff('83', plain, 115.23/17.13 ![X0 : a > $o, X1 : a]: 115.23/17.13 (~ cA(sk_Xx) 115.23/17.13 | sk_X(X0, '#l_lift1') 115.23/17.13 | ~ sk_Xx_1(sk_Xx0(X0)) 115.23/17.13 | sk_Xy(X0, X1) 115.23/17.13 | ~ X0(X1)), 115.23/17.13 inference('lambda_lifting', [status(thm)], ['81', '82'])). 115.23/17.13 tff('84', plain, 115.23/17.13 ![X0 : a > $o, X1 : a]: 115.23/17.13 (~ cA(sk_Xx) 115.23/17.13 | ~ sk_X(X0, X0) 115.23/17.13 | X0(sk_Xx0(X0)) 115.23/17.13 | sk_Xy(X0, X1) 115.23/17.13 | ~ X0(X1)), 115.23/17.13 inference('cnf', [status(esa)], [zf_stmt_0])). 115.23/17.13 tff('85', plain, 115.23/17.13 ![X0 : a > $o, X1 : a]: 115.23/17.13 ( cA(sk_Xx) 115.23/17.13 | ~ sk_X(X0, X0) 115.23/17.13 | X0(sk_Xx0(X0)) 115.23/17.13 | sk_Xy(X0, X1) 115.23/17.13 | ~ X0(X1)), 115.23/17.13 inference('cnf', [status(esa)], [zf_stmt_0])). 115.23/17.13 tff('86', plain, ![X1 : a]: ~ '#l_lift1'(X1), define([status(thm)])). 115.23/17.13 tff('87', plain, 115.23/17.13 ![X0 : a > $o, X1 : a, X2 : a > $o, X3 : a]: 115.23/17.13 ( cA(sk_Xx) 115.23/17.13 | ~ sk_X(X0, X2) 115.23/17.13 | sk_X(X0, (^[Y0 : a]: (X2(Y0) | (X3 = Y0)))) 115.23/17.13 | ~ X0(X3) 115.23/17.13 | X0(sk_Xx0(X0)) 115.23/17.13 | sk_Xy(X0, X1) 115.23/17.13 | ~ X0(X1)), 115.23/17.13 inference('cnf', [status(esa)], [zf_stmt_0])). 115.23/17.13 tff('88', plain, 115.23/17.13 ![X2 : a > $o, X3 : a, X4 : a]: 115.23/17.13 '#l_lift2'(X2, X3, X4) = (X2(X4) | (X3 = X4)), 115.23/17.13 define([status(thm)])). 115.23/17.13 tff('89', plain, 115.23/17.13 ![X0 : a > $o, X1 : a, X2 : a > $o, X3 : a]: 115.23/17.13 ( cA(sk_Xx) 115.23/17.13 | ~ sk_X(X0, X2) 115.23/17.13 | sk_X(X0, '#l_lift2'((^[Y0 : a]: X2(Y0)), X3)) 115.23/17.13 | ~ X0(X3) 115.23/17.13 | X0(sk_Xx0(X0)) 115.23/17.13 | sk_Xy(X0, X1) 115.23/17.13 | ~ X0(X1)), 115.23/17.13 inference('lambda_lifting', [status(thm)], ['87', '88'])). 115.23/17.13 tff('90', plain, 115.23/17.13 ![X0 : a > $o, X1 : a, X2 : a > $o, X3 : a]: 115.23/17.13 ( cA(sk_Xx) 115.23/17.13 | ~ sk_X(X0, X2) 115.23/17.13 | sk_X(X0, '#l_lift2'(X2, X3)) 115.23/17.13 | ~ X0(X3) 115.23/17.13 | X0(sk_Xx0(X0)) 115.23/17.13 | sk_Xy(X0, X1) 115.23/17.13 | ~ X0(X1)), 115.23/17.13 inference('ho_norm', [status(thm)], ['89'])). 115.23/17.13 tff('91', plain, 115.23/17.13 ![X0 : a > $o, X1 : a, X2 : a > $o, X3 : a]: 115.23/17.13 (~ cA(sk_Xx) 115.23/17.13 | ~ sk_X(X0, X2) 115.23/17.13 | sk_X(X0, (^[Y0 : a]: (X2(Y0) | (X3 = Y0)))) 115.23/17.13 | ~ X0(X3) 115.23/17.13 | X0(sk_Xx0(X0)) 115.23/17.13 | sk_Xy(X0, X1) 115.23/17.13 | ~ X0(X1)), 115.23/17.13 inference('cnf', [status(esa)], [zf_stmt_0])). 115.23/17.13 tff('92', plain, 115.23/17.13 ![X2 : a > $o, X3 : a, X4 : a]: 115.23/17.13 '#l_lift2'(X2, X3, X4) = (X2(X4) | (X3 = X4)), 115.23/17.13 define([status(thm)])). 115.23/17.13 tff('93', plain, 115.23/17.13 ![X0 : a > $o, X1 : a, X2 : a > $o, X3 : a]: 115.23/17.13 (~ cA(sk_Xx) 115.23/17.13 | ~ sk_X(X0, X2) 115.23/17.13 | sk_X(X0, '#l_lift2'((^[Y0 : a]: X2(Y0)), X3)) 115.23/17.13 | ~ X0(X3) 115.23/17.13 | X0(sk_Xx0(X0)) 115.23/17.13 | sk_Xy(X0, X1) 115.23/17.13 | ~ X0(X1)), 115.23/17.13 inference('lambda_lifting', [status(thm)], ['91', '92'])). 115.23/17.13 tff('94', plain, 115.23/17.13 ![X0 : a > $o, X1 : a, X2 : a > $o, X3 : a]: 115.23/17.13 (~ cA(sk_Xx) 115.23/17.13 | ~ sk_X(X0, X2) 115.23/17.13 | sk_X(X0, '#l_lift2'(X2, X3)) 115.23/17.13 | ~ X0(X3) 115.23/17.13 | X0(sk_Xx0(X0)) 115.23/17.13 | sk_Xy(X0, X1) 115.23/17.13 | ~ X0(X1)), 115.23/17.13 inference('ho_norm', [status(thm)], ['93'])). 115.23/17.13 tff('95', plain, 115.23/17.13 ![X2 : a > $o, X3 : a, X4 : a]: 115.23/17.13 '#l_lift2'(X2, X3, X4) = (X2(X4) | (X3 = X4)), 115.23/17.13 define([status(thm)])). 115.23/17.13 tff('96', plain, 115.23/17.13 ![X0 : a, X1 : a, X2 : a > $o]: 115.23/17.13 (X1 = X0 | X2(X0) | ~ '#l_lift2'(X2, X1, X0)), 115.23/17.13 inference('cnf_otf', [status(thm)], ['95'])). 115.23/17.13 tff('97', plain, 115.23/17.13 ![X1 : a, X2 : a > $o, X3 : a]: ( '#l_lift2'(X2, X1, X3) | X1 != X3), 115.23/17.13 inference('cnf_otf', [status(thm)], ['95'])). 115.23/17.13 tff('98', plain, ![X2 : a > $o, X3 : a]: '#l_lift2'(X2, X3, X3), 115.23/17.13 inference('simplify', [status(thm)], ['97'])). 115.23/17.13 tff('99', plain, 115.23/17.13 ![X0 : a > $o, X1 : a]: 115.23/17.13 (~ cA(sk_Xx) 115.23/17.13 | sk_X(X0, (^[Y0 : a]: $false)) 115.23/17.13 | X0(sk_Xx0(X0)) 115.23/17.13 | sk_Xy(X0, X1) 115.23/17.13 | ~ X0(X1)), 115.23/17.13 inference('cnf', [status(esa)], [zf_stmt_0])). 115.23/17.13 tff('100', plain, ![X1 : a]: ~ '#l_lift1'(X1), define([status(thm)])). 115.23/17.13 tff('101', plain, 115.23/17.13 ![X0 : a > $o, X1 : a]: 115.23/17.13 (~ cA(sk_Xx) 115.23/17.13 | sk_X(X0, '#l_lift1') 115.23/17.13 | X0(sk_Xx0(X0)) 115.23/17.13 | sk_Xy(X0, X1) 115.23/17.13 | ~ X0(X1)), 115.23/17.13 inference('lambda_lifting', [status(thm)], ['99', '100'])). 115.23/17.13 tff('102', plain, 115.23/17.13 ![X0 : a > $o, X1 : a]: 115.23/17.13 ( cA(sk_Xx) 115.23/17.13 | sk_X(X0, (^[Y0 : a]: $false)) 115.23/17.13 | X0(sk_Xx0(X0)) 115.23/17.13 | sk_Xy(X0, X1) 115.23/17.13 | ~ X0(X1)), 115.23/17.13 inference('cnf', [status(esa)], [zf_stmt_0])). 115.23/17.13 tff('103', plain, ![X1 : a]: ~ '#l_lift1'(X1), define([status(thm)])). 115.23/17.13 tff('104', plain, 115.23/17.13 ![X0 : a > $o, X1 : a]: 115.23/17.13 ( cA(sk_Xx) 115.23/17.13 | sk_X(X0, '#l_lift1') 115.23/17.13 | X0(sk_Xx0(X0)) 115.23/17.13 | sk_Xy(X0, X1) 115.23/17.13 | ~ X0(X1)), 115.23/17.13 inference('lambda_lifting', [status(thm)], ['102', '103'])). 115.23/17.13 tff('105', plain, $false, 115.23/17.13 inference('eprover', [status(thm)], 115.23/17.13 ['0', '1', '2', '3', '4', '8', '13', '16', '19', '22', '25', 115.23/17.13 '29', '33', '34', '35', '36', '40', '43', '47', '50', '54', 115.23/17.13 '58', '61', '64', '65', '66', '69', '73', '77', '80', '83', 115.23/17.13 '84', '85', '86', '90', '94', '96', '98', '101', '104'])). 115.23/17.13 115.23/17.13 % SZS output end Refutation 115.23/17.13 115.23/17.13 115.23/17.13 % Terminating... 115.23/17.18 % Runner terminated. 115.23/17.20 % Zipperpin 1.5 exiting 115.23/17.20 EOF