0.05/0.10 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.05/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.TeKDSZp7uT true 0.12/0.33 % Computer : n017.cluster.edu 0.12/0.33 % Model : x86_64 x86_64 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.12/0.33 % Memory : 8042.1875MB 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64 0.12/0.33 % CPULimit : 1440 0.12/0.33 % WCLimit : 180 0.12/0.33 % DateTime : Thu Jul 4 10:14:54 EDT 2024 0.12/0.33 % CPUTime : 0.12/0.33 % Running portfolio for 1440 s 0.12/0.33 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p 0.12/0.33 % Number of cores: 8 0.12/0.34 % Python version: Python 3.6.8 0.12/0.34 % Running in HO mode 0.50/0.63 % Total configuration time : 828 0.50/0.63 % Estimated wc time : 1656 0.50/0.63 % Estimated cpu time (8 cpus) : 207.0 0.51/0.71 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s 0.51/0.71 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s 0.51/0.71 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s 0.51/0.71 % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s 0.51/0.72 % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s 0.51/0.72 % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s 0.51/0.72 % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s 0.51/0.72 % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s 81.32/10.80 % Solved by lams/35_full_unif4.sh. 81.32/10.80 % done 504 iterations in 10.060s 81.32/10.80 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p' 81.32/10.80 % SZS output start Refutation 81.32/10.80 thf(nis_type, type, nis: $i > $i > $o). 81.32/10.80 thf(d_not_type, type, d_not: $o > $o). 81.32/10.80 thf(is_of_type, type, is_of: $i > ($i > $o) > $o). 81.32/10.80 thf(in_type, type, in: $i > $i > $o). 81.32/10.80 thf('#sk5690_type', type, '#sk5690': $i). 81.32/10.80 thf('#sk5692_type', type, '#sk5692': $i). 81.32/10.80 thf(e_is_type, type, e_is: $i > $i > $i > $o). 81.32/10.80 thf('#sk5693_type', type, '#sk5693': $i). 81.32/10.80 thf(nat_type, type, nat: $i). 81.32/10.80 thf(amone_type, type, amone: $i > ($i > $o) > $o). 81.32/10.80 thf(imp_type, type, imp: $o > $o > $o). 81.32/10.80 thf(all_of_type, type, all_of: ($i > $o) > ($i > $o) > $o). 81.32/10.80 thf(n_is_type, type, n_is: $i > $i > $o). 81.32/10.80 thf(n_pl_type, type, n_pl: $i > $i > $i). 81.32/10.80 thf('#sk5691_type', type, '#sk5691': $i). 81.32/10.80 thf(def_n_is, axiom,(( n_is ) = (e_is @ nat))). 81.32/10.80 thf(def_e_is, axiom,(( e_is ) = (^[X0:$i,X:$i,Y:$i]: ( ( X ) = ( Y ) )))). 81.32/10.80 thf('0', plain, (( e_is ) = ( ^[X0:$i,X:$i,Y:$i]: ( ( X ) = ( Y ) ) )), 81.32/10.80 inference('simplify_rw_rule', [status(thm)], [def_e_is])). 81.32/10.80 thf('1', plain, 81.32/10.80 (( e_is ) = ( ^[V_1:$i,V_2:$i,V_3:$i]: ( ( V_2 ) = ( V_3 ) ) )), 81.32/10.80 define([status(thm)])). 81.32/10.80 thf('2', plain, (( n_is ) = ( e_is @ nat )), 81.32/10.80 inference('simplify_rw_rule', [status(thm)], [def_n_is, '1'])). 81.32/10.80 thf('3', plain, (( n_is ) = ( e_is @ nat )), define([status(thm)])). 81.32/10.80 thf(def_amone, axiom,(( amone ) = 81.32/10.80 (^[X0:$i,X1:( $i > $o )]: 81.32/10.80 ( all_of @ 81.32/10.80 ( ^[X2:$i]: ( in @ X2 @ X0 ) ) @ 81.32/10.80 ( ^[X2:$i]: 81.32/10.80 ( all_of @ 81.32/10.80 ( ^[X3:$i]: ( in @ X3 @ X0 ) ) @ 81.32/10.80 ( ^[X3:$i]: 81.32/10.80 ( ( X1 @ X2 ) => ( ( X1 @ X3 ) => ( e_is @ X0 @ X2 @ X3 ) ) ) ) ) ) )))). 81.32/10.80 thf(def_all_of, axiom,(( all_of ) = 81.32/10.80 (^[X0:( $i > $o ),X1:( $i > $o )]: 81.32/10.80 ( ![X2:$i]: ( ( is_of @ X2 @ X0 ) => ( X1 @ X2 ) ) )))). 81.32/10.80 thf(def_is_of, axiom,(( is_of ) = (^[X0:$i,X1:( $i > $o )]: ( X1 @ X0 )))). 81.32/10.80 thf('4', plain, (( is_of ) = ( ^[X0:$i,X1:( $i > $o )]: ( X1 @ X0 ) )), 81.32/10.80 inference('simplify_rw_rule', [status(thm)], [def_is_of])). 81.32/10.80 thf('5', plain, (( is_of ) = ( ^[V_1:$i,V_2:( $i > $o )]: ( V_2 @ V_1 ) )), 81.32/10.80 define([status(thm)])). 81.32/10.80 thf('6', plain, 81.32/10.80 (( all_of ) = 81.32/10.80 ( ^[X0:( $i > $o ),X1:( $i > $o )]: 81.32/10.80 ( ![X2:$i]: ( ( is_of @ X2 @ X0 ) => ( X1 @ X2 ) ) ) )), 81.32/10.80 inference('simplify_rw_rule', [status(thm)], [def_all_of, '5'])). 81.32/10.80 thf('7', plain, 81.32/10.80 (( all_of ) = 81.32/10.80 ( ^[V_1:( $i > $o ),V_2:( $i > $o )]: 81.32/10.80 ( ![X4:$i]: ( ( is_of @ X4 @ V_1 ) => ( V_2 @ X4 ) ) ) )), 81.32/10.80 define([status(thm)])). 81.32/10.80 thf('8', plain, 81.32/10.80 (( amone ) = 81.32/10.80 ( ^[X0:$i,X1:( $i > $o )]: 81.32/10.80 ( all_of @ 81.32/10.80 ( ^[X2:$i]: ( in @ X2 @ X0 ) ) @ 81.32/10.80 ( ^[X2:$i]: 81.32/10.80 ( all_of @ 81.32/10.80 ( ^[X3:$i]: ( in @ X3 @ X0 ) ) @ 81.32/10.80 ( ^[X3:$i]: 81.32/10.80 ( ( X1 @ X2 ) => ( ( X1 @ X3 ) => ( e_is @ X0 @ X2 @ X3 ) ) ) ) ) ) ) )), 81.32/10.80 inference('simplify_rw_rule', [status(thm)], [def_amone, '1', '7', '5'])). 81.32/10.80 thf('9', plain, 81.32/10.80 (( amone ) = 81.32/10.80 ( ^[V_1:$i,V_2:( $i > $o )]: 81.32/10.80 ( all_of @ 81.32/10.80 ( ^[V_3:$i]: ( in @ V_3 @ V_1 ) ) @ 81.32/10.80 ( ^[V_4:$i]: 81.32/10.80 ( all_of @ 81.32/10.80 ( ^[V_5:$i]: ( in @ V_5 @ V_1 ) ) @ 81.32/10.80 ( ^[V_6:$i]: 81.32/10.80 ( ( V_2 @ V_4 ) => 81.32/10.80 ( ( V_2 @ V_6 ) => ( e_is @ V_1 @ V_4 @ V_6 ) ) ) ) ) ) ) )), 81.32/10.80 define([status(thm)])). 81.32/10.80 thf(satz8b, conjecture, 81.32/10.80 (all_of @ 81.32/10.80 ( ^[X0:$i]: ( in @ X0 @ nat ) ) @ 81.32/10.80 ( ^[X0:$i]: 81.32/10.80 ( all_of @ 81.32/10.80 ( ^[X1:$i]: ( in @ X1 @ nat ) ) @ 81.32/10.80 ( ^[X1:$i]: 81.32/10.80 ( amone @ nat @ ( ^[X2:$i]: ( n_is @ X0 @ ( n_pl @ X1 @ X2 ) ) ) ) ) ) ))). 81.32/10.80 thf(zf_stmt_0, conjecture, 81.32/10.80 (![X4:$i]: 81.32/10.80 ( ( in @ X4 @ nat ) => 81.32/10.80 ( ![X6:$i]: 81.32/10.80 ( ( in @ X6 @ nat ) => 81.32/10.80 ( ![X8:$i]: 81.32/10.80 ( ( in @ X8 @ nat ) => 81.32/10.80 ( ![X10:$i]: 81.32/10.80 ( ( in @ X10 @ nat ) => 81.32/10.80 ( ( ( X4 ) = ( n_pl @ X6 @ X8 ) ) => 81.32/10.80 ( ( ( X4 ) = ( n_pl @ X6 @ X10 ) ) => ( ( X8 ) = ( X10 ) ) ) ) ) ) ) ) ) ) ))). 81.32/10.80 thf(zf_stmt_1, negated_conjecture, 81.32/10.80 (~( ![X4:$i]: 81.32/10.80 ( ( in @ X4 @ nat ) => 81.32/10.80 ( ![X6:$i]: 81.32/10.80 ( ( in @ X6 @ nat ) => 81.32/10.80 ( ![X8:$i]: 81.32/10.80 ( ( in @ X8 @ nat ) => 81.32/10.80 ( ![X10:$i]: 81.32/10.80 ( ( in @ X10 @ nat ) => 81.32/10.80 ( ( ( X4 ) = ( n_pl @ X6 @ X8 ) ) => 81.32/10.80 ( ( ( X4 ) = ( n_pl @ X6 @ X10 ) ) => 81.32/10.80 ( ( X8 ) = ( X10 ) ) ) ) ) ) ) ) ) ) ) )), 81.32/10.80 inference('cnf.neg', [status(esa)], [zf_stmt_0])). 81.32/10.80 thf(zip_derived_cl126, plain, 81.32/10.80 (~ (((!!) @ (^[Y0 : $i]: 81.32/10.80 (((in @ Y0 @ nat) => 81.32/10.80 (((!!) @ (^[Y1 : $i]: 81.32/10.80 (((in @ Y1 @ nat) => 81.32/10.80 (((!!) @ (^[Y2 : $i]: 81.32/10.80 (((in @ Y2 @ nat) => 81.32/10.80 (((!!) @ (^[Y3 : $i]: 81.32/10.80 (((in @ Y3 @ 81.32/10.80 nat) => 81.32/10.80 (((((Y0) = 81.32/10.80 (n_pl @ 81.32/10.80 Y1 @ Y2))) => 81.32/10.80 (((( 81.32/10.80 (Y0) = 81.32/10.80 (n_pl @ 81.32/10.80 Y1 @ Y3))) => 81.32/10.80 (( 81.32/10.80 (Y2) = 81.32/10.80 (Y3)))))))))))))))))))))))))))), 81.32/10.80 inference('cnf', [status(esa)], [zf_stmt_1])). 81.32/10.80 thf(zip_derived_cl3899, plain, 81.32/10.80 (~ (((in @ '#sk5690' @ nat) => 81.32/10.80 (((!!) @ (^[Y0 : $i]: 81.32/10.80 (((in @ Y0 @ nat) => 81.32/10.80 (((!!) @ (^[Y1 : $i]: 81.32/10.80 (((in @ Y1 @ nat) => 81.32/10.80 (((!!) @ (^[Y2 : $i]: 81.32/10.80 (((in @ Y2 @ nat) => 81.32/10.80 ((((('#sk5690') = (n_pl @ 81.32/10.80 Y0 @ Y1))) => 81.32/10.80 ((((('#sk5690') = 81.32/10.80 (n_pl @ Y0 @ Y2))) => 81.32/10.80 (((Y1) = (Y2))))))))))))))))))))))))), 81.32/10.80 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl126])). 81.32/10.80 thf(zip_derived_cl3901, plain, 81.32/10.80 (~ (((!!) @ (^[Y0 : $i]: 81.32/10.80 (((in @ Y0 @ nat) => 81.32/10.80 (((!!) @ (^[Y1 : $i]: 81.32/10.80 (((in @ Y1 @ nat) => 81.32/10.80 (((!!) @ (^[Y2 : $i]: 81.32/10.80 (((in @ Y2 @ nat) => 81.32/10.80 ((((('#sk5690') = (n_pl @ 81.32/10.80 Y0 @ Y1))) => 81.32/10.80 ((((('#sk5690') = (n_pl @ 81.32/10.80 Y0 @ Y2))) => 81.32/10.80 (((Y1) = (Y2))))))))))))))))))))))), 81.32/10.80 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl3899])). 81.32/10.80 thf(zip_derived_cl3902, plain, 81.32/10.80 (~ (((in @ '#sk5691' @ nat) => 81.32/10.80 (((!!) @ (^[Y0 : $i]: 81.32/10.80 (((in @ Y0 @ nat) => 81.32/10.80 (((!!) @ (^[Y1 : $i]: 81.32/10.80 (((in @ Y1 @ nat) => 81.32/10.80 ((((('#sk5690') = (n_pl @ '#sk5691' @ 81.32/10.80 Y0))) => 81.32/10.80 ((((('#sk5690') = (n_pl @ '#sk5691' @ 81.32/10.80 Y1))) => 81.32/10.80 (((Y0) = (Y1)))))))))))))))))))), 81.32/10.80 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl3901])). 81.32/10.80 thf(zip_derived_cl3904, plain, 81.32/10.80 (~ (((!!) @ (^[Y0 : $i]: 81.32/10.80 (((in @ Y0 @ nat) => 81.32/10.80 (((!!) @ (^[Y1 : $i]: 81.32/10.80 (((in @ Y1 @ nat) => 81.32/10.80 ((((('#sk5690') = (n_pl @ '#sk5691' @ Y0))) => 81.32/10.80 ((((('#sk5690') = (n_pl @ '#sk5691' @ 81.32/10.80 Y1))) => 81.32/10.80 (((Y0) = (Y1)))))))))))))))))), 81.32/10.80 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl3902])). 81.32/10.80 thf(zip_derived_cl3905, plain, 81.32/10.80 (~ (((in @ '#sk5692' @ nat) => 81.32/10.80 (((!!) @ (^[Y0 : $i]: 81.32/10.80 (((in @ Y0 @ nat) => 81.32/10.80 ((((('#sk5690') = (n_pl @ '#sk5691' @ '#sk5692'))) => 81.32/10.80 ((((('#sk5690') = (n_pl @ '#sk5691' @ Y0))) => 81.32/10.80 ((('#sk5692') = (Y0))))))))))))))), 81.32/10.80 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl3904])). 81.32/10.80 thf(zip_derived_cl3907, plain, 81.32/10.80 (~ (((!!) @ (^[Y0 : $i]: 81.32/10.80 (((in @ Y0 @ nat) => 81.32/10.80 ((((('#sk5690') = (n_pl @ '#sk5691' @ '#sk5692'))) => 81.32/10.80 ((((('#sk5690') = (n_pl @ '#sk5691' @ Y0))) => 81.32/10.80 ((('#sk5692') = (Y0))))))))))))), 81.32/10.80 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl3905])). 81.32/10.80 thf(zip_derived_cl3908, plain, 81.32/10.80 (~ (((in @ '#sk5693' @ nat) => 81.32/10.80 ((((('#sk5690') = (n_pl @ '#sk5691' @ '#sk5692'))) => 81.32/10.80 ((((('#sk5690') = (n_pl @ '#sk5691' @ '#sk5693'))) => 81.32/10.80 ((('#sk5692') = ('#sk5693')))))))))), 81.32/10.80 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl3907])). 81.32/10.80 thf(zip_derived_cl3910, plain, 81.32/10.80 (~ ((((('#sk5690') = (n_pl @ '#sk5691' @ '#sk5692'))) => 81.32/10.80 ((((('#sk5690') = (n_pl @ '#sk5691' @ '#sk5693'))) => 81.32/10.80 ((('#sk5692') = ('#sk5693')))))))), 81.32/10.80 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl3908])). 81.32/10.80 thf(zip_derived_cl3912, plain, 81.32/10.80 (~ ((((('#sk5690') = (n_pl @ '#sk5691' @ '#sk5693'))) => 81.32/10.80 ((('#sk5692') = ('#sk5693')))))), 81.32/10.80 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl3910])). 81.32/10.80 thf(zip_derived_cl3914, plain, 81.32/10.80 ( ((('#sk5690') = (n_pl @ '#sk5691' @ '#sk5693')))), 81.32/10.80 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl3912])). 81.32/10.80 thf(zip_derived_cl3916, plain, 81.32/10.80 ((('#sk5690') = (n_pl @ '#sk5691' @ '#sk5693'))), 81.32/10.80 inference('simplify nested equalities', [status(thm)], 81.32/10.80 [zip_derived_cl3914])). 81.32/10.80 thf(zip_derived_cl3911, plain, 81.32/10.80 ( ((('#sk5690') = (n_pl @ '#sk5691' @ '#sk5692')))), 81.32/10.80 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl3910])). 81.32/10.80 thf(zip_derived_cl3913, plain, 81.32/10.80 ((('#sk5690') = (n_pl @ '#sk5691' @ '#sk5692'))), 81.32/10.80 inference('simplify nested equalities', [status(thm)], 81.32/10.80 [zip_derived_cl3911])). 81.32/10.80 thf(def_nis, axiom,(( nis ) = 81.32/10.80 (^[X0:$i,X1:$i]: ( d_not @ ( n_is @ X0 @ X1 ) )))). 81.32/10.80 thf(def_d_not, axiom,(( d_not ) = (^[X0:$o]: ( imp @ X0 @ $false )))). 81.32/10.80 thf(def_imp, axiom,(( imp ) = (^[X0:$o,X1:$o]: ( ( X0 ) => ( X1 ) )))). 81.32/10.80 thf('10', plain, (( imp ) = ( ^[X0:$o,X1:$o]: ( ( X0 ) => ( X1 ) ) )), 81.32/10.80 inference('simplify_rw_rule', [status(thm)], [def_imp])). 81.32/10.80 thf('11', plain, (( imp ) = ( ^[V_1:$o,V_2:$o]: ( ( V_1 ) => ( V_2 ) ) )), 81.32/10.80 define([status(thm)])). 81.32/10.80 thf('12', plain, (( d_not ) = ( ^[X0:$o]: ( imp @ X0 @ $false ) )), 81.32/10.80 inference('simplify_rw_rule', [status(thm)], [def_d_not, '11'])). 81.32/10.80 thf('13', plain, (( d_not ) = ( ^[V_1:$o]: ( imp @ V_1 @ $false ) )), 81.32/10.80 define([status(thm)])). 81.32/10.80 thf('14', plain, 81.32/10.80 (( nis ) = ( ^[X0:$i,X1:$i]: ( d_not @ ( n_is @ X0 @ X1 ) ) )), 81.32/10.80 inference('simplify_rw_rule', [status(thm)], [def_nis, '3', '1', '13'])). 81.32/10.80 thf('15', plain, 81.32/10.80 (( nis ) = ( ^[V_1:$i,V_2:$i]: ( d_not @ ( n_is @ V_1 @ V_2 ) ) )), 81.32/10.80 define([status(thm)])). 81.32/10.80 thf(satz8, axiom, 81.32/10.80 (all_of @ 81.32/10.80 ( ^[X0:$i]: ( in @ X0 @ nat ) ) @ 81.32/10.80 ( ^[X0:$i]: 81.32/10.80 ( all_of @ 81.32/10.80 ( ^[X1:$i]: ( in @ X1 @ nat ) ) @ 81.32/10.80 ( ^[X1:$i]: 81.32/10.80 ( all_of @ 81.32/10.80 ( ^[X2:$i]: ( in @ X2 @ nat ) ) @ 81.32/10.80 ( ^[X2:$i]: 81.32/10.80 ( ( nis @ X1 @ X2 ) => 81.32/10.80 ( nis @ ( n_pl @ X0 @ X1 ) @ ( n_pl @ X0 @ X2 ) ) ) ) ) ) ) ))). 81.32/10.80 thf(zf_stmt_2, axiom, 81.32/10.80 (![X4:$i]: 81.32/10.80 ( ( in @ X4 @ nat ) => 81.32/10.80 ( ![X6:$i]: 81.32/10.80 ( ( in @ X6 @ nat ) => 81.32/10.80 ( ![X8:$i]: 81.32/10.80 ( ( in @ X8 @ nat ) => 81.32/10.80 ( ( ( X6 ) != ( X8 ) ) => 81.32/10.80 ( ( n_pl @ X4 @ X6 ) != ( n_pl @ X4 @ X8 ) ) ) ) ) ) ) ))). 81.32/10.80 thf(zip_derived_cl121, plain, 81.32/10.80 ( (((!!) @ (^[Y0 : $i]: 81.32/10.80 (((in @ Y0 @ nat) => 81.32/10.80 (((!!) @ (^[Y1 : $i]: 81.32/10.80 (((in @ Y1 @ nat) => 81.32/10.80 (((!!) @ (^[Y2 : $i]: 81.32/10.80 (((in @ Y2 @ nat) => 81.32/10.80 (((((Y1) != (Y2))) => 81.32/10.80 (((n_pl @ Y0 @ Y1) != 81.32/10.80 (n_pl @ Y0 @ Y2))))))))))))))))))))), 81.32/10.80 inference('cnf', [status(esa)], [zf_stmt_2])). 81.32/10.80 thf(zip_derived_cl3390, plain, 81.32/10.80 (![X2 : $i]: 81.32/10.80 (((in @ X2 @ nat) => 81.32/10.80 (((!!) @ (^[Y0 : $i]: 81.32/10.80 (((in @ Y0 @ nat) => 81.32/10.80 (((!!) @ (^[Y1 : $i]: 81.32/10.80 (((in @ Y1 @ nat) => 81.32/10.80 (((((Y0) != (Y1))) => 81.32/10.80 (((n_pl @ X2 @ Y0) != (n_pl @ X2 @ 81.32/10.80 Y1)))))))))))))))))), 81.32/10.80 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl121])). 81.32/10.80 thf(zip_derived_cl3391, plain, 81.32/10.80 (![X2 : $i]: 81.32/10.80 (~ (in @ X2 @ nat) 81.32/10.80 | (((!!) @ (^[Y0 : $i]: 81.32/10.80 (((in @ Y0 @ nat) => 81.32/10.80 (((!!) @ (^[Y1 : $i]: 81.32/10.80 (((in @ Y1 @ nat) => 81.32/10.80 (((((Y0) != (Y1))) => 81.32/10.80 (((n_pl @ X2 @ Y0) != (n_pl @ X2 @ 81.32/10.80 Y1))))))))))))))))), 81.32/10.80 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl3390])). 81.32/10.80 thf(zip_derived_cl3392, plain, 81.32/10.80 (![X2 : $i, X4 : $i]: 81.32/10.80 ( (((in @ X4 @ nat) => 81.32/10.80 (((!!) @ (^[Y0 : $i]: 81.32/10.80 (((in @ Y0 @ nat) => 81.32/10.80 (((((X4) != (Y0))) => 81.32/10.80 (((n_pl @ X2 @ X4) != (n_pl @ X2 @ Y0)))))))))))) 81.32/10.80 | ~ (in @ X2 @ nat))), 81.32/10.80 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl3391])). 81.32/10.80 thf(zip_derived_cl3393, plain, 81.32/10.80 (![X2 : $i, X4 : $i]: 81.32/10.80 (~ (in @ X4 @ nat) 81.32/10.80 | (((!!) @ (^[Y0 : $i]: 81.32/10.80 (((in @ Y0 @ nat) => 81.32/10.80 (((((X4) != (Y0))) => 81.32/10.80 (((n_pl @ X2 @ X4) != (n_pl @ X2 @ Y0)))))))))) 81.32/10.80 | ~ (in @ X2 @ nat))), 81.32/10.80 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl3392])). 81.32/10.80 thf(zip_derived_cl3394, plain, 81.32/10.80 (![X2 : $i, X4 : $i, X6 : $i]: 81.32/10.80 ( (((in @ X6 @ nat) => 81.32/10.80 (((((X4) != (X6))) => (((n_pl @ X2 @ X4) != (n_pl @ X2 @ X6))))))) 81.32/10.80 | ~ (in @ X2 @ nat) 81.32/10.80 | ~ (in @ X4 @ nat))), 81.32/10.80 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl3393])). 81.32/10.80 thf(zip_derived_cl3395, plain, 81.32/10.80 (![X2 : $i, X4 : $i, X6 : $i]: 81.32/10.80 (~ (in @ X6 @ nat) 81.32/10.80 | (((((X4) != (X6))) => (((n_pl @ X2 @ X4) != (n_pl @ X2 @ X6))))) 81.32/10.80 | ~ (in @ X4 @ nat) 81.32/10.80 | ~ (in @ X2 @ nat))), 81.32/10.80 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl3394])). 81.32/10.80 thf(zip_derived_cl3396, plain, 81.32/10.80 (![X2 : $i, X4 : $i, X6 : $i]: 81.32/10.80 (~ (((X4) != (X6))) 81.32/10.80 | (((n_pl @ X2 @ X4) != (n_pl @ X2 @ X6))) 81.32/10.80 | ~ (in @ X2 @ nat) 81.32/10.80 | ~ (in @ X4 @ nat) 81.32/10.80 | ~ (in @ X6 @ nat))), 81.32/10.80 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl3395])). 81.32/10.80 thf(zip_derived_cl3397, plain, 81.32/10.80 (![X2 : $i, X4 : $i, X6 : $i]: 81.32/10.80 (((X4) = (X6)) 81.32/10.80 | ((n_pl @ X2 @ X4) != (n_pl @ X2 @ X6)) 81.32/10.80 | ~ (in @ X2 @ nat) 81.32/10.80 | ~ (in @ X4 @ nat) 81.32/10.80 | ~ (in @ X6 @ nat))), 81.32/10.80 inference('simplify nested equalities', [status(thm)], 81.32/10.80 [zip_derived_cl3396])). 81.32/10.80 thf(zip_derived_cl4425, plain, 81.32/10.80 (![X0 : $i]: 81.32/10.80 (((n_pl @ '#sk5691' @ X0) != ('#sk5690')) 81.32/10.80 | ~ (in @ '#sk5692' @ nat) 81.32/10.80 | ~ (in @ X0 @ nat) 81.32/10.80 | ~ (in @ '#sk5691' @ nat) 81.32/10.80 | ((X0) = ('#sk5692')))), 81.32/10.80 inference('sup-', [status(thm)], [zip_derived_cl3913, zip_derived_cl3397])). 81.32/10.80 thf(zip_derived_cl3906, plain, ( (in @ '#sk5692' @ nat)), 81.32/10.80 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl3905])). 81.32/10.80 thf(zip_derived_cl3903, plain, ( (in @ '#sk5691' @ nat)), 81.32/10.80 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl3902])). 81.32/10.80 thf(zip_derived_cl4437, plain, 81.32/10.80 (![X0 : $i]: 81.32/10.80 (((n_pl @ '#sk5691' @ X0) != ('#sk5690')) 81.32/10.80 | ~ (in @ X0 @ nat) 81.32/10.80 | ((X0) = ('#sk5692')))), 81.32/10.80 inference('demod', [status(thm)], 81.32/10.80 [zip_derived_cl4425, zip_derived_cl3906, zip_derived_cl3903])). 81.32/10.80 thf(zip_derived_cl4750, plain, 81.32/10.80 (((('#sk5690') != ('#sk5690')) 81.32/10.80 | (('#sk5693') = ('#sk5692')) 81.32/10.80 | ~ (in @ '#sk5693' @ nat))), 81.32/10.80 inference('sup-', [status(thm)], [zip_derived_cl3916, zip_derived_cl4437])). 81.32/10.80 thf(zip_derived_cl3909, plain, ( (in @ '#sk5693' @ nat)), 81.32/10.80 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl3908])). 81.32/10.80 thf(zip_derived_cl4756, plain, 81.32/10.80 (((('#sk5690') != ('#sk5690')) | (('#sk5693') = ('#sk5692')))), 81.32/10.80 inference('demod', [status(thm)], 81.32/10.80 [zip_derived_cl4750, zip_derived_cl3909])). 81.32/10.80 thf(zip_derived_cl4757, plain, ((('#sk5693') = ('#sk5692'))), 81.32/10.80 inference('simplify', [status(thm)], [zip_derived_cl4756])). 81.32/10.80 thf(zip_derived_cl3915, plain, (~ ((('#sk5692') = ('#sk5693')))), 81.32/10.80 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl3912])). 81.32/10.80 thf(zip_derived_cl3917, plain, ((('#sk5692') != ('#sk5693'))), 81.32/10.80 inference('simplify nested equalities', [status(thm)], 81.32/10.80 [zip_derived_cl3915])). 81.32/10.80 thf(zip_derived_cl4758, plain, ($false), 81.32/10.80 inference('simplify_reflect-', [status(thm)], 81.32/10.80 [zip_derived_cl4757, zip_derived_cl3917])). 81.32/10.80 81.32/10.80 % SZS output end Refutation 81.32/10.80 81.32/10.80 81.32/10.80 % Terminating... 81.35/10.87 % Runner terminated. 81.35/10.88 % Zipperpin 1.5 exiting 81.35/10.88 EOF