0.07/0.13 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.07/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.XapDBxk9s7 true 0.14/0.35 % Computer : n029.cluster.edu 0.14/0.35 % Model : x86_64 x86_64 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.14/0.35 % Memory : 8042.1875MB 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64 0.14/0.35 % CPULimit : 1200 0.14/0.35 % WCLimit : 120 0.14/0.35 % DateTime : Tue Jul 13 15:52:55 EDT 2021 0.14/0.36 % CPUTime : 0.14/0.36 % Running portfolio for 120 s 0.14/0.36 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p 0.14/0.36 % Number of cores: 8 0.14/0.36 % Python version: Python 3.6.8 0.14/0.36 % Running in HO mode 0.56/0.68 % Total configuration time : 828 0.56/0.68 % Estimated wc time : 983 0.56/0.68 % Estimated cpu time (8 cpus) : 122.875 0.58/0.73 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 47s 0.58/0.74 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 47s 0.58/0.75 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 47s 0.58/0.76 % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 18s 0.59/0.78 % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 53s 0.59/0.78 % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 35s 0.59/0.78 % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 41s 0.59/0.78 % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 24s 141.85/18.81 % /export/starexec/sandbox2/solver/bin/lams/30_b.l.sh running for 53s 185.88/24.62 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif.sh running for 33s 270.59/35.71 % /export/starexec/sandbox2/solver/bin/lams/15_old_s4.sh running for 18s 317.09/41.69 % /export/starexec/sandbox2/solver/bin/lams/15_lifting3.sh running for 18s 362.19/47.56 % /export/starexec/sandbox2/solver/bin/lams/33_shallow_sine.sh running for 39s 363.58/47.79 % /export/starexec/sandbox2/solver/bin/lams/40_e_lift.sh running for 47s 363.58/47.80 % /export/starexec/sandbox2/solver/bin/lams/15_lifting1.sh running for 18s 407.46/53.52 % /export/starexec/sandbox2/solver/bin/lams/8_new_cnf.sh running for 10s 420.34/55.42 % /export/starexec/sandbox2/solver/bin/lams/10_e_short2.sh running for 12s 435.64/57.42 % /export/starexec/sandbox2/solver/bin/lams/8_add_var_l_av.sh running for 10s 452.73/59.53 % /export/starexec/sandbox2/solver/bin/lams/8_new_sh_or.sh running for 10s 482.50/63.34 % /export/starexec/sandbox2/solver/bin/lams/30_old_zip1.sh running for 21s 500.24/65.61 % /export/starexec/sandbox2/solver/bin/lams/10_shallow_lift.sh running for 18s 513.01/67.30 % /export/starexec/sandbox2/solver/bin/lams/15_lcnf_noform.sh running for 18s 513.78/67.46 % /export/starexec/sandbox2/solver/bin/lams/8_sh.eqenc2.sh running for 6s 514.64/67.67 % Solved by lams/15_lcnf_noform.sh. 514.64/67.67 % done 28 iterations in 0.302s 514.64/67.67 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p' 514.64/67.67 % SZS output start Refutation 514.64/67.67 thf('#sk37_type', type, '#sk37': ($i > $i > $o) > $i > $i). 514.64/67.67 thf('#sk21_type', type, '#sk21': ($i > $i > $o) > $i > $i). 514.64/67.67 thf(exu_type, type, exu: ($i > $o) > $o). 514.64/67.67 thf(replAx_type, type, replAx: $o). 514.64/67.67 thf('#sk76_type', type, '#sk76': ($i > $i > $o) > $i > $i > $i). 514.64/67.67 thf('#sk22_type', type, '#sk22': $i > $i). 514.64/67.67 thf('#sk1_type', type, '#sk1': $i). 514.64/67.67 thf('#sk8_type', type, '#sk8': $i > $i). 514.64/67.67 thf(in_type, type, in: $i > $i > $o). 514.64/67.67 thf(replAx, axiom, replAx = 514.64/67.67 (![Xphi:( $i > $i > $o ),A:$i]: 514.64/67.67 ( ( ![Xx:$i]: 514.64/67.67 ( ( in @ Xx @ A ) => ( exu @ ( ^[Xy:$i]: ( Xphi @ Xx @ Xy ) ) ) ) ) => 514.64/67.67 ( ?[B:$i]: 514.64/67.67 ( ![Xx:$i]: 514.64/67.67 ( ( in @ Xx @ B ) <=> 514.64/67.67 ( ?[Xy:$i]: ( ( Xphi @ Xy @ Xx ) & ( in @ Xy @ A ) ) ) ) ) ) ))). 514.64/67.67 thf('0', plain, 514.64/67.67 (( replAx ) = 514.64/67.67 ( ![X4:( $i > $i > $o ),X6:$i]: 514.64/67.67 ( ( ![X8:$i]: 514.64/67.67 ( ( in @ X8 @ X6 ) => ( exu @ ( ^[V_1:$i]: ( X4 @ X8 @ V_1 ) ) ) ) ) => 514.64/67.67 ( ?[X10:$i]: 514.64/67.67 ( ![X12:$i]: 514.64/67.67 ( ( in @ X12 @ X10 ) <=> 514.64/67.67 ( ?[X14:$i]: ( ( X4 @ X14 @ X12 ) & ( in @ X14 @ X6 ) ) ) ) ) ) ) )), 514.64/67.67 define([status(thm)])). 514.64/67.67 thf(exu, axiom,(( exu ) = 514.64/67.67 (^[Xphi:( $i > $o )]: 514.64/67.67 ( ?[Xx:$i]: 514.64/67.67 ( ( ![Xy:$i]: ( ( Xphi @ Xy ) => ( ( Xx ) = ( Xy ) ) ) ) & ( Xphi @ Xx ) ) )))). 514.64/67.67 thf('1', plain, 514.64/67.67 (( exu ) = 514.64/67.67 ( ^[Xphi:( $i > $o )]: 514.64/67.67 ( ?[Xx:$i]: 514.64/67.67 ( ( ![Xy:$i]: ( ( Xphi @ Xy ) => ( ( Xx ) = ( Xy ) ) ) ) & 514.64/67.67 ( Xphi @ Xx ) ) ) )), 514.64/67.67 inference('simplify_rw_rule', [status(thm)], [exu])). 514.64/67.67 thf('2', plain, 514.64/67.67 (( exu ) = 514.64/67.67 ( ^[V_1:( $i > $o )]: 514.64/67.67 ( ?[X4:$i]: 514.64/67.67 ( ( ![X6:$i]: ( ( V_1 @ X6 ) => ( ( X4 ) = ( X6 ) ) ) ) & 514.64/67.67 ( V_1 @ X4 ) ) ) )), 514.64/67.67 define([status(thm)])). 514.64/67.67 thf(image1Ex, conjecture, 514.64/67.67 (( replAx ) => 514.64/67.67 ( ![A:$i,Xf:( $i > $i )]: 514.64/67.67 ( ?[B:$i]: 514.64/67.67 ( ![Xx:$i]: 514.64/67.67 ( ( in @ Xx @ B ) <=> 514.64/67.67 ( ?[Xy:$i]: ( ( in @ Xy @ A ) & ( ( Xx ) = ( Xf @ Xy ) ) ) ) ) ) ) ))). 514.64/67.67 thf(zf_stmt_0, conjecture, 514.64/67.67 (( ![X4:( $i > $i > $o ),X6:$i]: 514.64/67.67 ( ( ![X8:$i]: 514.64/67.67 ( ( in @ X8 @ X6 ) => 514.64/67.67 ( ?[X10:$i]: 514.64/67.67 ( ( X4 @ X8 @ X10 ) & 514.64/67.67 ( ![X12:$i]: ( ( X4 @ X8 @ X12 ) => ( ( X10 ) = ( X12 ) ) ) ) ) ) ) ) => 514.64/67.67 ( ?[X14:$i]: 514.64/67.67 ( ![X16:$i]: 514.64/67.67 ( ( in @ X16 @ X14 ) <=> 514.64/67.67 ( ?[X18:$i]: ( ( in @ X18 @ X6 ) & ( X4 @ X18 @ X16 ) ) ) ) ) ) ) ) => 514.64/67.67 ( ![X20:$i,X22:( $i > $i )]: 514.64/67.67 ( ?[X24:$i]: 514.64/67.67 ( ![X26:$i]: 514.64/67.67 ( ( in @ X26 @ X24 ) <=> 514.64/67.67 ( ?[X28:$i]: ( ( ( X26 ) = ( X22 @ X28 ) ) & ( in @ X28 @ X20 ) ) ) ) ) ) ))). 514.64/67.67 thf(zf_stmt_1, negated_conjecture, 514.64/67.67 (~( ( ![X4:( $i > $i > $o ),X6:$i]: 514.64/67.67 ( ( ![X8:$i]: 514.64/67.67 ( ( in @ X8 @ X6 ) => 514.64/67.67 ( ?[X10:$i]: 514.64/67.67 ( ( X4 @ X8 @ X10 ) & 514.64/67.67 ( ![X12:$i]: ( ( X4 @ X8 @ X12 ) => ( ( X10 ) = ( X12 ) ) ) ) ) ) ) ) => 514.64/67.67 ( ?[X14:$i]: 514.64/67.67 ( ![X16:$i]: 514.64/67.67 ( ( in @ X16 @ X14 ) <=> 514.64/67.67 ( ?[X18:$i]: ( ( in @ X18 @ X6 ) & ( X4 @ X18 @ X16 ) ) ) ) ) ) ) ) => 514.64/67.67 ( ![X20:$i,X22:( $i > $i )]: 514.64/67.67 ( ?[X24:$i]: 514.64/67.67 ( ![X26:$i]: 514.64/67.67 ( ( in @ X26 @ X24 ) <=> 514.64/67.67 ( ?[X28:$i]: 514.64/67.67 ( ( ( X26 ) = ( X22 @ X28 ) ) & ( in @ X28 @ X20 ) ) ) ) ) ) ) )), 514.64/67.67 inference('cnf.neg', [status(esa)], [zf_stmt_0])). 514.64/67.67 thf(zip_derived_cl0, plain, 514.64/67.67 (~ (((((!!) @ (^[Y0 : $i > $i > $o]: 514.64/67.67 (((!!) @ (^[Y1 : $i]: 514.64/67.67 (((((!!) @ (^[Y2 : $i]: 514.64/67.67 (((in @ Y2 @ Y1) => 514.64/67.67 (((??) @ (^[Y3 : $i]: 514.64/67.67 (((Y0 @ Y2 @ 514.64/67.67 Y3) & 514.64/67.67 (((!!) @ ( 514.64/67.67 ^[Y4 : $i]: 514.64/67.67 (( 514.64/67.67 (Y0 @ 514.64/67.67 Y2 @ 514.64/67.67 Y4) => 514.64/67.67 (( 514.64/67.67 (Y3) = 514.64/67.67 (Y4)))))))))))))))))) => 514.64/67.67 (((??) @ (^[Y2 : $i]: 514.64/67.67 (((!!) @ (^[Y3 : $i]: 514.64/67.67 (((in @ Y3 @ 514.64/67.67 Y2) <=> 514.64/67.67 (((??) @ ( 514.64/67.67 ^[Y4 : $i]: 514.64/67.67 (((in @ 514.64/67.67 Y4 @ Y1) & 514.64/67.67 (Y0 @ 514.64/67.67 Y4 @ Y3)))))))))))))))))))))) => 514.64/67.67 (((!!) @ (^[Y0 : $i]: 514.64/67.67 (((!!) @ (^[Y1 : $i > $i]: 514.64/67.67 (((??) @ (^[Y2 : $i]: 514.64/67.67 (((!!) @ (^[Y3 : $i]: 514.64/67.67 (((in @ Y3 @ Y2) <=> 514.64/67.67 (((??) @ ( 514.64/67.67 ^[Y4 : $i]: 514.64/67.67 (((((Y3) = 514.64/67.67 (Y1 @ Y4))) & 514.64/67.67 (in @ Y4 @ 514.64/67.67 Y0))))))))))))))))))))))), 514.64/67.67 inference('cnf', [status(esa)], [zf_stmt_1])). 514.64/67.67 thf(zip_derived_cl1, plain, 514.64/67.67 ( (((!!) @ (^[Y0 : $i > $i > $o]: 514.64/67.67 (((!!) @ (^[Y1 : $i]: 514.64/67.67 (((((!!) @ (^[Y2 : $i]: 514.64/67.67 (((in @ Y2 @ Y1) => 514.64/67.67 (((??) @ (^[Y3 : $i]: 514.64/67.67 (((Y0 @ Y2 @ Y3) & 514.64/67.67 (((!!) @ ( 514.64/67.67 ^[Y4 : $i]: 514.64/67.67 (((Y0 @ Y2 @ 514.64/67.67 Y4) => 514.64/67.67 (((Y3) = 514.64/67.67 (Y4)))))))))))))))))) => 514.64/67.67 (((??) @ (^[Y2 : $i]: 514.64/67.67 (((!!) @ (^[Y3 : $i]: 514.64/67.67 (((in @ Y3 @ Y2) <=> 514.64/67.67 (((??) @ (^[Y4 : $i]: 514.64/67.67 (( 514.64/67.67 (in @ 514.64/67.67 Y4 @ 514.64/67.67 Y1) & 514.64/67.67 (Y0 @ 514.64/67.67 Y4 @ Y3))))))))))))))))))))))), 514.64/67.67 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl0])). 514.64/67.67 thf(zip_derived_cl3, plain, 514.64/67.67 (![X2 : $i > $i > $o]: 514.64/67.67 (((!!) @ (^[Y0 : $i]: 514.64/67.67 (((((!!) @ (^[Y1 : $i]: 514.64/67.67 (((in @ Y1 @ Y0) => 514.64/67.67 (((??) @ (^[Y2 : $i]: 514.64/67.67 (((X2 @ Y1 @ Y2) & 514.64/67.67 (((!!) @ (^[Y3 : $i]: 514.64/67.67 (((X2 @ Y1 @ 514.64/67.67 Y3) => 514.64/67.67 (((Y2) = (Y3)))))))))))))))))) => 514.64/67.67 (((??) @ (^[Y1 : $i]: 514.64/67.67 (((!!) @ (^[Y2 : $i]: 514.64/67.67 (((in @ Y2 @ Y1) <=> 514.64/67.67 (((??) @ (^[Y3 : $i]: 514.64/67.67 (((in @ Y3 @ 514.64/67.67 Y0) & (X2 @ 514.64/67.67 Y3 @ Y2)))))))))))))))))))), 514.64/67.67 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl1])). 514.64/67.67 thf(zip_derived_cl5, plain, 514.64/67.67 (![X2 : $i > $i > $o, X4 : $i]: 514.64/67.67 (((((!!) @ (^[Y0 : $i]: 514.64/67.67 (((in @ Y0 @ X4) => 514.64/67.67 (((??) @ (^[Y1 : $i]: 514.64/67.67 (((X2 @ Y0 @ Y1) & 514.64/67.67 (((!!) @ (^[Y2 : $i]: 514.64/67.67 (((X2 @ Y0 @ Y2) => 514.64/67.67 (((Y1) = (Y2)))))))))))))))))) => 514.64/67.67 (((??) @ (^[Y0 : $i]: 514.64/67.67 (((!!) @ (^[Y1 : $i]: 514.64/67.67 (((in @ Y1 @ Y0) <=> 514.64/67.67 (((??) @ (^[Y2 : $i]: 514.64/67.67 (((in @ Y2 @ X4) & (X2 @ 514.64/67.67 Y2 @ Y1))))))))))))))))), 514.64/67.67 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl3])). 514.64/67.67 thf(zip_derived_cl7, plain, 514.64/67.67 (![X2 : $i > $i > $o, X4 : $i]: 514.64/67.67 (~ (((!!) @ (^[Y0 : $i]: 514.64/67.67 (((in @ Y0 @ X4) => 514.64/67.67 (((??) @ (^[Y1 : $i]: 514.64/67.67 (((X2 @ Y0 @ Y1) & 514.64/67.67 (((!!) @ (^[Y2 : $i]: 514.64/67.67 (((X2 @ Y0 @ Y2) => 514.64/67.67 (((Y1) = (Y2)))))))))))))))))) 514.64/67.67 | (((??) @ (^[Y0 : $i]: 514.64/67.67 (((!!) @ (^[Y1 : $i]: 514.64/67.67 (((in @ Y1 @ Y0) <=> 514.64/67.67 (((??) @ (^[Y2 : $i]: 514.64/67.67 (((in @ Y2 @ X4) & (X2 @ 514.64/67.67 Y2 @ Y1)))))))))))))))), 514.64/67.67 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl5])). 514.64/67.67 thf(zip_derived_cl9, plain, 514.64/67.67 (![X2 : $i > $i > $o, X4 : $i]: 514.64/67.67 (~ (((in @ ('#sk21' @ X2 @ X4) @ X4) => 514.64/67.67 (((??) @ (^[Y0 : $i]: 514.64/67.67 (((X2 @ ('#sk21' @ X2 @ X4) @ Y0) & 514.64/67.67 (((!!) @ (^[Y1 : $i]: 514.64/67.67 (((X2 @ ('#sk21' @ X2 @ X4) @ Y1) => 514.64/67.67 (((Y0) = (Y1))))))))))))))) 514.64/67.67 | (((??) @ (^[Y0 : $i]: 514.64/67.67 (((!!) @ (^[Y1 : $i]: 514.64/67.67 (((in @ Y1 @ Y0) <=> 514.64/67.67 (((??) @ (^[Y2 : $i]: 514.64/67.67 (((in @ Y2 @ X4) & (X2 @ 514.64/67.67 Y2 @ Y1)))))))))))))))), 514.64/67.67 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl7])). 514.64/67.67 thf(zip_derived_cl12, plain, 514.64/67.67 (![X2 : $i > $i > $o, X4 : $i]: 514.64/67.67 (~ (((??) @ (^[Y0 : $i]: 514.64/67.67 (((X2 @ ('#sk21' @ X2 @ X4) @ Y0) & 514.64/67.67 (((!!) @ (^[Y1 : $i]: 514.64/67.67 (((X2 @ ('#sk21' @ X2 @ X4) @ Y1) => 514.64/67.67 (((Y0) = (Y1))))))))))))) 514.64/67.67 | (((??) @ (^[Y0 : $i]: 514.64/67.67 (((!!) @ (^[Y1 : $i]: 514.64/67.67 (((in @ Y1 @ Y0) <=> 514.64/67.67 (((??) @ (^[Y2 : $i]: 514.64/67.67 (((in @ Y2 @ X4) & (X2 @ 514.64/67.67 Y2 @ Y1)))))))))))))))), 514.64/67.67 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl9])). 514.64/67.67 thf(zip_derived_cl15, plain, 514.64/67.67 (![X2 : $i > $i > $o, X4 : $i, X6 : $i]: 514.64/67.67 (~ (((X2 @ ('#sk21' @ X2 @ X4) @ X6) & 514.64/67.67 (((!!) @ (^[Y0 : $i]: 514.64/67.67 (((X2 @ ('#sk21' @ X2 @ X4) @ Y0) => (((X6) = (Y0)))))))))) 514.64/67.67 | (((??) @ (^[Y0 : $i]: 514.64/67.67 (((!!) @ (^[Y1 : $i]: 514.64/67.67 (((in @ Y1 @ Y0) <=> 514.64/67.67 (((??) @ (^[Y2 : $i]: 514.64/67.67 (((in @ Y2 @ X4) & (X2 @ 514.64/67.67 Y2 @ Y1)))))))))))))))), 514.64/67.67 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl12])). 514.64/67.67 thf(zip_derived_cl17, plain, 514.64/67.67 (![X2 : $i > $i > $o, X4 : $i, X6 : $i]: 514.64/67.67 (~ (X2 @ ('#sk21' @ X2 @ X4) @ X6) 514.64/67.67 | ~ (((!!) @ (^[Y0 : $i]: 514.64/67.67 (((X2 @ ('#sk21' @ X2 @ X4) @ Y0) => (((X6) = (Y0)))))))) 514.64/67.67 | (((??) @ (^[Y0 : $i]: 514.64/67.67 (((!!) @ (^[Y1 : $i]: 514.64/67.67 (((in @ Y1 @ Y0) <=> 514.64/67.67 (((??) @ (^[Y2 : $i]: 514.64/67.67 (((in @ Y2 @ X4) & (X2 @ 514.64/67.67 Y2 @ Y1)))))))))))))))), 514.64/67.67 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl15])). 514.64/67.67 thf(zip_derived_cl19, plain, 514.64/67.67 (![X2 : $i > $i > $o, X4 : $i, X6 : $i]: 514.64/67.67 (~ (((X2 @ ('#sk21' @ X2 @ X4) @ ('#sk76' @ X2 @ X4 @ X6)) => 514.64/67.67 (((X6) = ('#sk76' @ X2 @ X4 @ X6))))) 514.64/67.67 | (((??) @ (^[Y0 : $i]: 514.64/67.67 (((!!) @ (^[Y1 : $i]: 514.64/67.67 (((in @ Y1 @ Y0) <=> 514.64/67.67 (((??) @ (^[Y2 : $i]: 514.64/67.67 (((in @ Y2 @ X4) & (X2 @ 514.64/67.67 Y2 @ Y1)))))))))))))) 514.64/67.67 | ~ (X2 @ ('#sk21' @ X2 @ X4) @ X6))), 514.64/67.67 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl17])). 514.64/67.67 thf(zip_derived_cl20, plain, 514.64/67.67 (![X2 : $i > $i > $o, X4 : $i, X6 : $i]: 514.64/67.67 ( (X2 @ ('#sk21' @ X2 @ X4) @ ('#sk76' @ X2 @ X4 @ X6)) 514.64/67.67 | ~ (X2 @ ('#sk21' @ X2 @ X4) @ X6) 514.64/67.67 | (((??) @ (^[Y0 : $i]: 514.64/67.67 (((!!) @ (^[Y1 : $i]: 514.64/67.67 (((in @ Y1 @ Y0) <=> 514.64/67.67 (((??) @ (^[Y2 : $i]: 514.64/67.67 (((in @ Y2 @ X4) & (X2 @ 514.64/67.67 Y2 @ Y1)))))))))))))))), 514.64/67.67 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl19])). 514.64/67.67 thf(zip_derived_cl22, plain, 514.64/67.67 (![X2 : $i > $i > $o, X4 : $i, X6 : $i]: 514.64/67.67 ( (((!!) @ (^[Y0 : $i]: 514.64/67.67 (((in @ Y0 @ ('#sk37' @ X2 @ X4)) <=> 514.64/67.67 (((??) @ (^[Y1 : $i]: 514.64/67.67 (((in @ Y1 @ X4) & (X2 @ Y1 @ Y0))))))))))) 514.64/67.67 | ~ (X2 @ ('#sk21' @ X2 @ X4) @ X6) 514.64/67.67 | (X2 @ ('#sk21' @ X2 @ X4) @ ('#sk76' @ X2 @ X4 @ X6)))), 514.64/67.67 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl20])). 514.64/67.67 thf(zip_derived_cl25, plain, 514.64/67.67 (![X2 : $i > $i > $o, X4 : $i, X6 : $i, X8 : $i]: 514.64/67.67 ( (((in @ X8 @ ('#sk37' @ X2 @ X4)) <=> 514.64/67.67 (((??) @ (^[Y0 : $i]: (((in @ Y0 @ X4) & (X2 @ Y0 @ X8)))))))) 514.64/67.67 | (X2 @ ('#sk21' @ X2 @ X4) @ ('#sk76' @ X2 @ X4 @ X6)) 514.64/67.67 | ~ (X2 @ ('#sk21' @ X2 @ X4) @ X6))), 514.64/67.67 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl22])). 514.64/67.67 thf(zip_derived_cl27, plain, 514.64/67.67 (![X2 : $i > $i > $o, X4 : $i, X6 : $i, X8 : $i]: 514.64/67.67 (((in @ X8 @ ('#sk37' @ X2 @ X4)) 514.64/67.67 = (((??) @ (^[Y0 : $i]: (((in @ Y0 @ X4) & (X2 @ Y0 @ X8))))))) 514.64/67.67 | (X2 @ ('#sk21' @ X2 @ X4) @ ('#sk76' @ X2 @ X4 @ X6)) 514.64/67.67 | ~ (X2 @ ('#sk21' @ X2 @ X4) @ X6))), 514.64/67.67 inference('simplify nested equalities', [status(thm)], [zip_derived_cl25])). 514.64/67.67 thf(zip_derived_cl2, plain, 514.64/67.67 (~ (((!!) @ (^[Y0 : $i]: 514.64/67.67 (((!!) @ (^[Y1 : $i > $i]: 514.64/67.67 (((??) @ (^[Y2 : $i]: 514.64/67.67 (((!!) @ (^[Y3 : $i]: 514.64/67.67 (((in @ Y3 @ Y2) <=> 514.64/67.67 (((??) @ (^[Y4 : $i]: 514.64/67.67 (( 514.64/67.67 (( 514.64/67.67 (Y3) = 514.64/67.67 (Y1 @ Y4))) & 514.64/67.67 (in @ 514.64/67.67 Y4 @ Y0))))))))))))))))))))), 514.64/67.67 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl0])). 514.64/67.67 thf(zip_derived_cl4, plain, 514.64/67.67 (~ (((!!) @ (^[Y0 : $i > $i]: 514.64/67.67 (((??) @ (^[Y1 : $i]: 514.64/67.67 (((!!) @ (^[Y2 : $i]: 514.64/67.67 (((in @ Y2 @ Y1) <=> 514.64/67.67 (((??) @ (^[Y3 : $i]: 514.64/67.67 (((((Y2) = (Y0 @ Y3))) & 514.64/67.67 (in @ Y3 @ '#sk1')))))))))))))))))), 514.64/67.67 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl2])). 514.64/67.67 thf(zip_derived_cl6, plain, 514.64/67.67 (~ (((??) @ (^[Y0 : $i]: 514.64/67.67 (((!!) @ (^[Y1 : $i]: 514.64/67.67 (((in @ Y1 @ Y0) <=> 514.64/67.67 (((??) @ (^[Y2 : $i]: 514.64/67.67 (((((Y1) = ('#sk8' @ Y2))) & 514.64/67.67 (in @ Y2 @ '#sk1'))))))))))))))), 514.64/67.67 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl4])). 514.64/67.67 thf(zip_derived_cl8, plain, 514.64/67.67 (![X2 : $i]: 514.64/67.67 ~ (((!!) @ (^[Y0 : $i]: 514.64/67.67 (((in @ Y0 @ X2) <=> 514.64/67.67 (((??) @ (^[Y1 : $i]: 514.64/67.67 (((((Y0) = ('#sk8' @ Y1))) & (in @ Y1 @ 514.64/67.67 '#sk1')))))))))))), 514.64/67.67 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl6])). 514.64/67.67 thf(zip_derived_cl10, plain, 514.64/67.67 (![X2 : $i]: 514.64/67.67 ~ (((in @ ('#sk22' @ X2) @ X2) <=> 514.64/67.67 (((??) @ (^[Y0 : $i]: 514.64/67.67 ((((('#sk22' @ X2) = ('#sk8' @ Y0))) & (in @ Y0 @ 514.64/67.67 '#sk1'))))))))), 514.64/67.67 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl8])). 514.64/67.67 thf(zip_derived_cl13, plain, 514.64/67.67 (![X2 : $i]: 514.64/67.67 ((in @ ('#sk22' @ X2) @ X2) 514.64/67.67 != (((??) @ (^[Y0 : $i]: 514.64/67.67 ((((('#sk22' @ X2) = ('#sk8' @ Y0))) & (in @ Y0 @ 514.64/67.67 '#sk1')))))))), 514.64/67.67 inference('simplify nested equalities', [status(thm)], [zip_derived_cl10])). 514.64/67.67 thf(zip_derived_cl138, plain, 514.64/67.67 (![X0 : $i, X1 : $i]: 514.64/67.67 (((in @ ('#sk22' @ X0) @ X0) 514.64/67.67 != (in @ ('#sk22' @ X0) @ 514.64/67.67 ('#sk37' @ 514.64/67.67 (^[Y0 : $i,Y1 : $i]: 514.64/67.67 ((((^[Y2 : $i,Y3 : $i]: (Y3)) @ Y0 @ Y1) = 514.64/67.67 ((^[Y2 : $i,Y3 : $i]: 514.64/67.67 ('#sk8' @ ((^[Y4 : $i,Y5 : $i]: (Y4)) @ Y2 @ Y3))) @ 514.64/67.67 Y0 @ Y1)))) @ 514.64/67.67 '#sk1'))) 514.64/67.67 | ~ ((^[Y0 : $i,Y1 : $i]: 514.64/67.67 ((((^[Y2 : $i,Y3 : $i]: (Y3)) @ Y0 @ Y1) = 514.64/67.67 ((^[Y2 : $i,Y3 : $i]: 514.64/67.67 ('#sk8' @ ((^[Y4 : $i,Y5 : $i]: (Y4)) @ Y2 @ Y3))) @ 514.64/67.67 Y0 @ Y1)))) @ 514.64/67.67 ('#sk21' @ 514.64/67.67 (^[Y0 : $i,Y1 : $i]: 514.64/67.67 ((((^[Y2 : $i,Y3 : $i]: (Y3)) @ Y0 @ Y1) = 514.64/67.67 ((^[Y2 : $i,Y3 : $i]: 514.64/67.67 ('#sk8' @ ((^[Y4 : $i,Y5 : $i]: (Y4)) @ Y2 @ Y3))) @ 514.64/67.67 Y0 @ Y1)))) @ 514.64/67.67 '#sk1') @ 514.64/67.67 X1) 514.64/67.67 | ((^[Y0 : $i,Y1 : $i]: 514.64/67.67 ((((^[Y2 : $i,Y3 : $i]: (Y3)) @ Y0 @ Y1) = 514.64/67.67 ((^[Y2 : $i,Y3 : $i]: 514.64/67.67 ('#sk8' @ ((^[Y4 : $i,Y5 : $i]: (Y4)) @ Y2 @ Y3))) @ 514.64/67.67 Y0 @ Y1)))) @ 514.64/67.67 ('#sk21' @ 514.64/67.67 (^[Y0 : $i,Y1 : $i]: 514.64/67.67 ((((^[Y2 : $i,Y3 : $i]: (Y3)) @ Y0 @ Y1) = 514.64/67.67 ((^[Y2 : $i,Y3 : $i]: 514.64/67.67 ('#sk8' @ ((^[Y4 : $i,Y5 : $i]: (Y4)) @ Y2 @ Y3))) @ 514.64/67.67 Y0 @ Y1)))) @ 514.64/67.67 '#sk1') @ 514.64/67.67 ('#sk76' @ 514.64/67.67 (^[Y0 : $i,Y1 : $i]: 514.64/67.67 ((((^[Y2 : $i,Y3 : $i]: (Y3)) @ Y0 @ Y1) = 514.64/67.67 ((^[Y2 : $i,Y3 : $i]: 514.64/67.67 ('#sk8' @ ((^[Y4 : $i,Y5 : $i]: (Y4)) @ Y2 @ Y3))) @ 514.64/67.67 Y0 @ Y1)))) @ 514.64/67.67 '#sk1' @ X1)))), 514.64/67.67 inference('sup-', [status(thm)], [zip_derived_cl27, zip_derived_cl13])). 514.64/67.67 thf(zip_derived_cl173, plain, 514.64/67.67 (![X0 : $i, X1 : $i]: 514.64/67.67 (((in @ ('#sk22' @ X0) @ X0) 514.64/67.67 != (in @ ('#sk22' @ X0) @ 514.64/67.67 ('#sk37' @ (^[Y0 : $i,Y1 : $i]: (((Y1) = ('#sk8' @ Y0)))) @ 514.64/67.67 '#sk1'))) 514.64/67.67 | ~ (((X1) = ('#sk8' @ 514.64/67.67 ('#sk21' @ (^[Y0 : $i,Y1 : $i]: (((Y1) = ('#sk8' @ Y0)))) @ 514.64/67.67 '#sk1')))) 514.64/67.67 | ((('#sk76' @ (^[Y0 : $i,Y1 : $i]: (((Y1) = ('#sk8' @ Y0)))) @ 514.64/67.67 '#sk1' @ X1) = ('#sk8' @ 514.64/67.67 ('#sk21' @ (^[Y0 : $i,Y1 : $i]: (((Y1) = ('#sk8' @ Y0)))) @ 514.64/67.67 '#sk1')))))), 514.64/67.67 inference('ho_norm', [status(thm)], [zip_derived_cl138])). 514.64/67.67 thf(zip_derived_cl174, plain, 514.64/67.67 (![X0 : $i, X1 : $i]: 514.64/67.67 (((in @ ('#sk22' @ X0) @ X0) 514.64/67.67 != (in @ ('#sk22' @ X0) @ 514.64/67.67 ('#sk37' @ (^[Y0 : $i,Y1 : $i]: (((Y1) = ('#sk8' @ Y0)))) @ 514.64/67.67 '#sk1'))) 514.64/67.67 | ((X1) 514.64/67.67 != ('#sk8' @ 514.64/67.67 ('#sk21' @ (^[Y0 : $i,Y1 : $i]: (((Y1) = ('#sk8' @ Y0)))) @ 514.64/67.67 '#sk1'))) 514.64/67.67 | (('#sk76' @ (^[Y0 : $i,Y1 : $i]: (((Y1) = ('#sk8' @ Y0)))) @ 514.64/67.67 '#sk1' @ X1) 514.64/67.67 = ('#sk8' @ 514.64/67.67 ('#sk21' @ (^[Y0 : $i,Y1 : $i]: (((Y1) = ('#sk8' @ Y0)))) @ 514.64/67.67 '#sk1'))))), 514.64/67.67 inference('simplify nested equalities', [status(thm)], 514.64/67.67 [zip_derived_cl173])). 514.64/67.67 thf(zip_derived_cl175, plain, 514.64/67.67 (![X0 : $i]: 514.64/67.67 ((('#sk76' @ (^[Y0 : $i,Y1 : $i]: (((Y1) = ('#sk8' @ Y0)))) @ 514.64/67.67 '#sk1' @ 514.64/67.67 ('#sk8' @ 514.64/67.67 ('#sk21' @ (^[Y0 : $i,Y1 : $i]: (((Y1) = ('#sk8' @ Y0)))) @ '#sk1'))) 514.64/67.67 = ('#sk8' @ 514.64/67.67 ('#sk21' @ (^[Y0 : $i,Y1 : $i]: (((Y1) = ('#sk8' @ Y0)))) @ 514.64/67.67 '#sk1'))) 514.64/67.67 | ((in @ ('#sk22' @ X0) @ X0) 514.64/67.67 != (in @ ('#sk22' @ X0) @ 514.64/67.67 ('#sk37' @ (^[Y0 : $i,Y1 : $i]: (((Y1) = ('#sk8' @ Y0)))) @ 514.64/67.67 '#sk1'))))), 514.64/67.67 inference('simplify', [status(thm)], [zip_derived_cl174])). 514.64/67.67 thf('3', plain, 514.64/67.67 (((('#sk76' @ (^[Y0 : $i,Y1 : $i]: (((Y1) = ('#sk8' @ Y0)))) @ '#sk1' @ 514.64/67.67 ('#sk8' @ 514.64/67.67 ('#sk21' @ (^[Y0 : $i,Y1 : $i]: (((Y1) = ('#sk8' @ Y0)))) @ '#sk1'))) 514.64/67.67 = ('#sk8' @ 514.64/67.67 ('#sk21' @ (^[Y0 : $i,Y1 : $i]: (((Y1) = ('#sk8' @ Y0)))) @ '#sk1')))) | 514.64/67.67 (![X0 : $i]: 514.64/67.67 ((in @ ('#sk22' @ X0) @ X0) 514.64/67.67 != (in @ ('#sk22' @ X0) @ 514.64/67.67 ('#sk37' @ (^[Y0 : $i,Y1 : $i]: (((Y1) = ('#sk8' @ Y0)))) @ 514.64/67.67 '#sk1'))))), 514.64/67.67 inference('split', [status(esa)], [zip_derived_cl175])). 514.64/67.67 thf(zip_derived_cl11, plain, 514.64/67.67 (![X2 : $i > $i > $o, X4 : $i]: 514.64/67.67 ( (in @ ('#sk21' @ X2 @ X4) @ X4) 514.64/67.67 | (((??) @ (^[Y0 : $i]: 514.64/67.67 (((!!) @ (^[Y1 : $i]: 514.64/67.67 (((in @ Y1 @ Y0) <=> 514.64/67.67 (((??) @ (^[Y2 : $i]: 514.64/67.67 (((in @ Y2 @ X4) & (X2 @ 514.64/67.67 Y2 @ Y1)))))))))))))))), 514.64/67.67 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl9])). 514.64/67.67 thf(zip_derived_cl14, plain, 514.64/67.67 (![X2 : $i > $i > $o, X4 : $i]: 514.64/67.67 ( (((!!) @ (^[Y0 : $i]: 514.64/67.67 (((in @ Y0 @ ('#sk37' @ X2 @ X4)) <=> 514.64/67.67 (((??) @ (^[Y1 : $i]: 514.64/67.67 (((in @ Y1 @ X4) & (X2 @ Y1 @ Y0))))))))))) 514.64/67.67 | (in @ ('#sk21' @ X2 @ X4) @ X4))), 514.64/67.67 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl11])). 514.64/67.67 thf(zip_derived_cl16, plain, 514.64/67.67 (![X2 : $i > $i > $o, X4 : $i, X6 : $i]: 514.64/67.67 ( (((in @ X6 @ ('#sk37' @ X2 @ X4)) <=> 514.64/67.67 (((??) @ (^[Y0 : $i]: (((in @ Y0 @ X4) & (X2 @ Y0 @ X6)))))))) 514.64/67.67 | (in @ ('#sk21' @ X2 @ X4) @ X4))), 514.64/67.67 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl14])). 514.64/67.67 thf(zip_derived_cl18, plain, 514.64/67.67 (![X2 : $i > $i > $o, X4 : $i, X6 : $i]: 514.64/67.67 (((in @ X6 @ ('#sk37' @ X2 @ X4)) 514.64/67.67 = (((??) @ (^[Y0 : $i]: (((in @ Y0 @ X4) & (X2 @ Y0 @ X6))))))) 514.64/67.67 | (in @ ('#sk21' @ X2 @ X4) @ X4))), 514.64/67.67 inference('simplify nested equalities', [status(thm)], [zip_derived_cl16])). 514.64/67.67 thf(zip_derived_cl13, plain, 514.64/67.67 (![X2 : $i]: 514.64/67.67 ((in @ ('#sk22' @ X2) @ X2) 514.64/67.67 != (((??) @ (^[Y0 : $i]: 514.64/67.67 ((((('#sk22' @ X2) = ('#sk8' @ Y0))) & (in @ Y0 @ 514.64/67.67 '#sk1')))))))), 514.64/67.67 inference('simplify nested equalities', [status(thm)], [zip_derived_cl10])). 514.64/67.67 thf(zip_derived_cl44, plain, 514.64/67.67 (![X0 : $i]: 514.64/67.67 (((in @ ('#sk22' @ X0) @ X0) 514.64/67.67 != (in @ ('#sk22' @ X0) @ 514.64/67.67 ('#sk37' @ 514.64/67.67 (^[Y0 : $i,Y1 : $i]: 514.64/67.67 ((((^[Y2 : $i,Y3 : $i]: (Y3)) @ Y0 @ Y1) = 514.64/67.67 ((^[Y2 : $i,Y3 : $i]: 514.64/67.67 ('#sk8' @ ((^[Y4 : $i,Y5 : $i]: (Y4)) @ Y2 @ Y3))) @ 514.64/67.67 Y0 @ Y1)))) @ 514.64/67.67 '#sk1'))) 514.64/67.67 | (in @ 514.64/67.67 ('#sk21' @ 514.64/67.67 (^[Y0 : $i,Y1 : $i]: 514.64/67.67 ((((^[Y2 : $i,Y3 : $i]: (Y3)) @ Y0 @ Y1) = 514.64/67.67 ((^[Y2 : $i,Y3 : $i]: 514.64/67.67 ('#sk8' @ ((^[Y4 : $i,Y5 : $i]: (Y4)) @ Y2 @ Y3))) @ 514.64/67.67 Y0 @ Y1)))) @ 514.64/67.67 '#sk1') @ 514.64/67.67 '#sk1'))), 514.64/67.67 inference('sup-', [status(thm)], [zip_derived_cl18, zip_derived_cl13])). 514.64/67.67 thf(zip_derived_cl57, plain, 514.64/67.67 (![X0 : $i]: 514.64/67.67 (((in @ ('#sk22' @ X0) @ X0) 514.64/67.67 != (in @ ('#sk22' @ X0) @ 514.64/67.67 ('#sk37' @ (^[Y0 : $i,Y1 : $i]: (((Y1) = ('#sk8' @ Y0)))) @ 514.64/67.67 '#sk1'))) 514.64/67.67 | (in @ 514.64/67.67 ('#sk21' @ (^[Y0 : $i,Y1 : $i]: (((Y1) = ('#sk8' @ Y0)))) @ 514.64/67.67 '#sk1') @ 514.64/67.67 '#sk1'))), 514.64/67.67 inference('ho_norm', [status(thm)], [zip_derived_cl44])). 514.64/67.67 thf(zip_derived_cl58, plain, 514.64/67.67 ((![X0 : $i]: 514.64/67.67 ((in @ ('#sk22' @ X0) @ X0) 514.64/67.67 != (in @ ('#sk22' @ X0) @ 514.64/67.67 ('#sk37' @ (^[Y0 : $i,Y1 : $i]: (((Y1) = ('#sk8' @ Y0)))) @ 514.64/67.67 '#sk1')))) 514.64/67.67 <= ((![X0 : $i]: 514.64/67.67 ((in @ ('#sk22' @ X0) @ X0) 514.64/67.67 != (in @ ('#sk22' @ X0) @ 514.64/67.67 ('#sk37' @ 514.64/67.67 (^[Y0 : $i,Y1 : $i]: (((Y1) = ('#sk8' @ Y0)))) @ '#sk1')))))), 514.64/67.67 inference('split', [status(esa)], [zip_derived_cl57])). 514.64/67.67 thf('4', plain, 514.64/67.67 (~ 514.64/67.67 (![X0 : $i]: 514.64/67.67 ((in @ ('#sk22' @ X0) @ X0) 514.64/67.67 != (in @ ('#sk22' @ X0) @ 514.64/67.67 ('#sk37' @ (^[Y0 : $i,Y1 : $i]: (((Y1) = ('#sk8' @ Y0)))) @ 514.64/67.67 '#sk1'))))), 514.64/67.67 inference('eq_res', [status(thm)], [zip_derived_cl58])). 514.64/67.67 thf(zip_derived_cl21, plain, 514.64/67.67 (![X2 : $i > $i > $o, X4 : $i, X6 : $i]: 514.64/67.67 (~ (((X6) = ('#sk76' @ X2 @ X4 @ X6))) 514.64/67.67 | ~ (X2 @ ('#sk21' @ X2 @ X4) @ X6) 514.64/67.67 | (((??) @ (^[Y0 : $i]: 514.64/67.67 (((!!) @ (^[Y1 : $i]: 514.64/67.67 (((in @ Y1 @ Y0) <=> 514.64/67.67 (((??) @ (^[Y2 : $i]: 514.64/67.67 (((in @ Y2 @ X4) & (X2 @ 514.64/67.67 Y2 @ Y1)))))))))))))))), 514.64/67.67 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl19])). 514.64/67.67 thf(zip_derived_cl23, plain, 514.64/67.67 (![X2 : $i > $i > $o, X4 : $i, X6 : $i]: 514.64/67.67 (((X6) != ('#sk76' @ X2 @ X4 @ X6)) 514.64/67.67 | ~ (X2 @ ('#sk21' @ X2 @ X4) @ X6) 514.64/67.67 | (((??) @ (^[Y0 : $i]: 514.64/67.67 (((!!) @ (^[Y1 : $i]: 514.64/67.67 (((in @ Y1 @ Y0) <=> 514.64/67.67 (((??) @ (^[Y2 : $i]: 514.64/67.67 (((in @ Y2 @ X4) & (X2 @ 514.64/67.67 Y2 @ Y1)))))))))))))))), 514.64/67.67 inference('simplify nested equalities', [status(thm)], [zip_derived_cl21])). 514.64/67.67 thf(zip_derived_cl24, plain, 514.64/67.67 (![X2 : $i > $i > $o, X4 : $i, X6 : $i]: 514.64/67.67 ( (((!!) @ (^[Y0 : $i]: 514.64/67.67 (((in @ Y0 @ ('#sk37' @ X2 @ X4)) <=> 514.64/67.67 (((??) @ (^[Y1 : $i]: 514.64/67.67 (((in @ Y1 @ X4) & (X2 @ Y1 @ Y0))))))))))) 514.64/67.67 | ~ (X2 @ ('#sk21' @ X2 @ X4) @ X6) 514.64/67.67 | ((X6) != ('#sk76' @ X2 @ X4 @ X6)))), 514.64/67.67 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl23])). 514.64/67.67 thf(zip_derived_cl26, plain, 514.64/67.67 (![X2 : $i > $i > $o, X4 : $i, X6 : $i, X8 : $i]: 514.64/67.67 ( (((in @ X8 @ ('#sk37' @ X2 @ X4)) <=> 514.64/67.67 (((??) @ (^[Y0 : $i]: (((in @ Y0 @ X4) & (X2 @ Y0 @ X8)))))))) 514.64/67.67 | ((X6) != ('#sk76' @ X2 @ X4 @ X6)) 514.64/67.67 | ~ (X2 @ ('#sk21' @ X2 @ X4) @ X6))), 514.64/67.67 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl24])). 514.64/67.67 thf(zip_derived_cl28, plain, 514.64/67.67 (![X2 : $i > $i > $o, X4 : $i, X6 : $i, X8 : $i]: 514.64/67.67 (((in @ X8 @ ('#sk37' @ X2 @ X4)) 514.64/67.67 = (((??) @ (^[Y0 : $i]: (((in @ Y0 @ X4) & (X2 @ Y0 @ X8))))))) 514.64/67.67 | ((X6) != ('#sk76' @ X2 @ X4 @ X6)) 514.64/67.67 | ~ (X2 @ ('#sk21' @ X2 @ X4) @ X6))), 514.64/67.67 inference('simplify nested equalities', [status(thm)], [zip_derived_cl26])). 514.64/67.67 thf(zip_derived_cl13, plain, 514.64/67.67 (![X2 : $i]: 514.64/67.67 ((in @ ('#sk22' @ X2) @ X2) 514.64/67.67 != (((??) @ (^[Y0 : $i]: 514.64/67.67 ((((('#sk22' @ X2) = ('#sk8' @ Y0))) & (in @ Y0 @ 514.64/67.67 '#sk1')))))))), 514.64/67.67 inference('simplify nested equalities', [status(thm)], [zip_derived_cl10])). 514.64/67.67 thf(zip_derived_cl283, plain, 514.64/67.67 (![X0 : $i, X1 : $i]: 514.64/67.67 (((in @ ('#sk22' @ X0) @ X0) 514.64/67.67 != (in @ ('#sk22' @ X0) @ 514.64/67.67 ('#sk37' @ 514.64/67.67 (^[Y0 : $i,Y1 : $i]: 514.64/67.67 ((((^[Y2 : $i,Y3 : $i]: (Y3)) @ Y0 @ Y1) = 514.64/67.67 ((^[Y2 : $i,Y3 : $i]: 514.64/67.67 ('#sk8' @ ((^[Y4 : $i,Y5 : $i]: (Y4)) @ Y2 @ Y3))) @ 514.64/67.67 Y0 @ Y1)))) @ 514.64/67.67 '#sk1'))) 514.64/67.67 | ~ ((^[Y0 : $i,Y1 : $i]: 514.64/67.67 ((((^[Y2 : $i,Y3 : $i]: (Y3)) @ Y0 @ Y1) = 514.64/67.67 ((^[Y2 : $i,Y3 : $i]: 514.64/67.67 ('#sk8' @ ((^[Y4 : $i,Y5 : $i]: (Y4)) @ Y2 @ Y3))) @ 514.64/67.67 Y0 @ Y1)))) @ 514.64/67.67 ('#sk21' @ 514.64/67.67 (^[Y0 : $i,Y1 : $i]: 514.64/67.67 ((((^[Y2 : $i,Y3 : $i]: (Y3)) @ Y0 @ Y1) = 514.64/67.67 ((^[Y2 : $i,Y3 : $i]: 514.64/67.67 ('#sk8' @ ((^[Y4 : $i,Y5 : $i]: (Y4)) @ Y2 @ Y3))) @ 514.64/67.67 Y0 @ Y1)))) @ 514.64/67.67 '#sk1') @ 514.64/67.67 X1) 514.64/67.67 | ((X1) 514.64/67.67 != ('#sk76' @ 514.64/67.67 (^[Y0 : $i,Y1 : $i]: 514.64/67.67 ((((^[Y2 : $i,Y3 : $i]: (Y3)) @ Y0 @ Y1) = 514.64/67.67 ((^[Y2 : $i,Y3 : $i]: 514.64/67.67 ('#sk8' @ ((^[Y4 : $i,Y5 : $i]: (Y4)) @ Y2 @ Y3))) @ 514.64/67.67 Y0 @ Y1)))) @ 514.64/67.67 '#sk1' @ X1)))), 514.64/67.67 inference('sup-', [status(thm)], [zip_derived_cl28, zip_derived_cl13])). 514.64/67.67 thf(zip_derived_cl314, plain, 514.64/67.67 (![X0 : $i, X1 : $i]: 514.64/67.67 (((in @ ('#sk22' @ X0) @ X0) 514.64/67.67 != (in @ ('#sk22' @ X0) @ 514.64/67.67 ('#sk37' @ (^[Y0 : $i,Y1 : $i]: (((Y1) = ('#sk8' @ Y0)))) @ 514.64/67.67 '#sk1'))) 514.64/67.67 | ~ (((X1) = ('#sk8' @ 514.64/67.67 ('#sk21' @ (^[Y0 : $i,Y1 : $i]: (((Y1) = ('#sk8' @ Y0)))) @ 514.64/67.67 '#sk1')))) 514.64/67.67 | ((X1) 514.64/67.67 != ('#sk76' @ (^[Y0 : $i,Y1 : $i]: (((Y1) = ('#sk8' @ Y0)))) @ 514.64/67.67 '#sk1' @ X1)))), 514.64/67.67 inference('ho_norm', [status(thm)], [zip_derived_cl283])). 514.64/67.67 thf(zip_derived_cl315, plain, 514.64/67.67 (![X0 : $i, X1 : $i]: 514.64/67.67 (((in @ ('#sk22' @ X0) @ X0) 514.64/67.67 != (in @ ('#sk22' @ X0) @ 514.64/67.67 ('#sk37' @ (^[Y0 : $i,Y1 : $i]: (((Y1) = ('#sk8' @ Y0)))) @ 514.64/67.67 '#sk1'))) 514.64/67.67 | ((X1) 514.64/67.67 != ('#sk8' @ 514.64/67.67 ('#sk21' @ (^[Y0 : $i,Y1 : $i]: (((Y1) = ('#sk8' @ Y0)))) @ 514.64/67.67 '#sk1'))) 514.64/67.67 | ((X1) 514.64/67.67 != ('#sk76' @ (^[Y0 : $i,Y1 : $i]: (((Y1) = ('#sk8' @ Y0)))) @ 514.64/67.67 '#sk1' @ X1)))), 514.64/67.67 inference('simplify nested equalities', [status(thm)], 514.64/67.67 [zip_derived_cl314])). 514.64/67.67 thf(zip_derived_cl316, plain, 514.64/67.67 (![X0 : $i]: 514.64/67.67 ((('#sk8' @ 514.64/67.67 ('#sk21' @ (^[Y0 : $i,Y1 : $i]: (((Y1) = ('#sk8' @ Y0)))) @ '#sk1')) 514.64/67.67 != ('#sk76' @ (^[Y0 : $i,Y1 : $i]: (((Y1) = ('#sk8' @ Y0)))) @ 514.64/67.67 '#sk1' @ 514.64/67.67 ('#sk8' @ 514.64/67.67 ('#sk21' @ (^[Y0 : $i,Y1 : $i]: (((Y1) = ('#sk8' @ Y0)))) @ 514.64/67.67 '#sk1')))) 514.64/67.67 | ((in @ ('#sk22' @ X0) @ X0) 514.64/67.67 != (in @ ('#sk22' @ X0) @ 514.64/67.67 ('#sk37' @ (^[Y0 : $i,Y1 : $i]: (((Y1) = ('#sk8' @ Y0)))) @ 514.64/67.67 '#sk1'))))), 514.64/67.67 inference('simplify', [status(thm)], [zip_derived_cl315])). 514.64/67.67 thf('5', plain, 514.64/67.67 ((![X0 : $i]: 514.64/67.67 ((in @ ('#sk22' @ X0) @ X0) 514.64/67.67 != (in @ ('#sk22' @ X0) @ 514.64/67.67 ('#sk37' @ (^[Y0 : $i,Y1 : $i]: (((Y1) = ('#sk8' @ Y0)))) @ 514.64/67.67 '#sk1')))) | 514.64/67.67 ~ 514.64/67.67 ((('#sk76' @ (^[Y0 : $i,Y1 : $i]: (((Y1) = ('#sk8' @ Y0)))) @ '#sk1' @ 514.64/67.67 ('#sk8' @ 514.64/67.67 ('#sk21' @ (^[Y0 : $i,Y1 : $i]: (((Y1) = ('#sk8' @ Y0)))) @ '#sk1'))) 514.64/67.67 = ('#sk8' @ 514.64/67.67 ('#sk21' @ (^[Y0 : $i,Y1 : $i]: (((Y1) = ('#sk8' @ Y0)))) @ '#sk1'))))), 514.64/67.67 inference('split', [status(esa)], [zip_derived_cl316])). 514.64/67.67 thf(zip_derived_cl322, plain, ($false), 514.64/67.67 inference('sat_resolution*', [status(thm)], ['3', '4', '5'])). 514.64/67.67 514.64/67.67 % SZS output end Refutation 514.64/67.67 514.64/67.67 514.64/67.67 % Terminating... 515.52/67.81 % Runner terminated. 515.52/67.82 % Zipperpin 1.5 exiting 515.52/67.82 EOF