0.10/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.10/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.k4jeO1PN1I true 0.14/0.35 % Computer : n018.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 : 1440 0.14/0.35 % WCLimit : 180 0.14/0.35 % DateTime : Mon Jul 3 11:21:01 EDT 2023 0.14/0.35 % CPUTime : 0.14/0.35 % Running portfolio for 1440 s 0.14/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p 0.14/0.35 % Number of cores: 8 0.14/0.36 % Python version: Python 3.6.8 0.14/0.36 % Running in HO mode 0.53/0.67 % Total configuration time : 828 0.53/0.67 % Estimated wc time : 1656 0.53/0.67 % Estimated cpu time (8 cpus) : 207.0 0.53/0.74 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s 0.53/0.74 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s 0.53/0.75 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s 0.53/0.75 % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s 0.53/0.75 % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s 0.53/0.76 % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s 0.53/0.76 % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s 0.55/0.76 % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s 88.68/11.80 % Solved by lams/35_full_unif4.sh. 88.68/11.80 % done 517 iterations in 11.019s 88.68/11.80 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p' 88.68/11.80 % SZS output start Refutation 88.68/11.80 thf(is_of_type, type, is_of: $i > ($i > $o) > $o). 88.68/11.80 thf(in_type, type, in: $i > $i > $o). 88.68/11.80 thf('#sk6083_type', type, '#sk6083': $i). 88.68/11.80 thf(e_is_type, type, e_is: $i > $i > $i > $o). 88.68/11.80 thf(nat_type, type, nat: $i). 88.68/11.80 thf('#sk6084_type', type, '#sk6084': $i). 88.68/11.80 thf(amone_type, type, amone: $i > ($i > $o) > $o). 88.68/11.80 thf(all_of_type, type, all_of: ($i > $o) > ($i > $o) > $o). 88.68/11.80 thf(n_is_type, type, n_is: $i > $i > $o). 88.68/11.80 thf('#sk6085_type', type, '#sk6085': $i). 88.68/11.80 thf('#sk6082_type', type, '#sk6082': $i). 88.68/11.80 thf(n_pl_type, type, n_pl: $i > $i > $i). 88.68/11.80 thf(def_n_is, axiom,(( n_is ) = (e_is @ nat))). 88.68/11.80 thf(def_e_is, axiom,(( e_is ) = (^[X0:$i,X:$i,Y:$i]: ( ( X ) = ( Y ) )))). 88.68/11.80 thf('0', plain, (( e_is ) = ( ^[X0:$i,X:$i,Y:$i]: ( ( X ) = ( Y ) ) )), 88.68/11.80 inference('simplify_rw_rule', [status(thm)], [def_e_is])). 88.68/11.80 thf('1', plain, 88.68/11.80 (( e_is ) = ( ^[V_1:$i,V_2:$i,V_3:$i]: ( ( V_2 ) = ( V_3 ) ) )), 88.68/11.80 define([status(thm)])). 88.68/11.80 thf('2', plain, (( n_is ) = ( e_is @ nat )), 88.68/11.80 inference('simplify_rw_rule', [status(thm)], [def_n_is, '1'])). 88.68/11.80 thf('3', plain, (( n_is ) = ( e_is @ nat )), define([status(thm)])). 88.68/11.80 thf(def_amone, axiom,(( amone ) = 88.68/11.80 (^[X0:$i,X1:( $i > $o )]: 88.68/11.80 ( all_of @ 88.68/11.80 ( ^[X2:$i]: ( in @ X2 @ X0 ) ) @ 88.68/11.80 ( ^[X2:$i]: 88.68/11.80 ( all_of @ 88.68/11.80 ( ^[X3:$i]: ( in @ X3 @ X0 ) ) @ 88.68/11.80 ( ^[X3:$i]: 88.68/11.80 ( ( X1 @ X2 ) => ( ( X1 @ X3 ) => ( e_is @ X0 @ X2 @ X3 ) ) ) ) ) ) )))). 88.68/11.80 thf(def_all_of, axiom,(( all_of ) = 88.68/11.80 (^[X0:( $i > $o ),X1:( $i > $o )]: 88.68/11.80 ( ![X2:$i]: ( ( is_of @ X2 @ X0 ) => ( X1 @ X2 ) ) )))). 88.68/11.80 thf(def_is_of, axiom,(( is_of ) = (^[X0:$i,X1:( $i > $o )]: ( X1 @ X0 )))). 88.68/11.80 thf('4', plain, (( is_of ) = ( ^[X0:$i,X1:( $i > $o )]: ( X1 @ X0 ) )), 88.68/11.80 inference('simplify_rw_rule', [status(thm)], [def_is_of])). 88.68/11.80 thf('5', plain, (( is_of ) = ( ^[V_1:$i,V_2:( $i > $o )]: ( V_2 @ V_1 ) )), 88.68/11.80 define([status(thm)])). 88.68/11.80 thf('6', plain, 88.68/11.80 (( all_of ) = 88.68/11.80 ( ^[X0:( $i > $o ),X1:( $i > $o )]: 88.68/11.80 ( ![X2:$i]: ( ( is_of @ X2 @ X0 ) => ( X1 @ X2 ) ) ) )), 88.68/11.80 inference('simplify_rw_rule', [status(thm)], [def_all_of, '5'])). 88.68/11.80 thf('7', plain, 88.68/11.80 (( all_of ) = 88.68/11.80 ( ^[V_1:( $i > $o ),V_2:( $i > $o )]: 88.68/11.80 ( ![X4:$i]: ( ( is_of @ X4 @ V_1 ) => ( V_2 @ X4 ) ) ) )), 88.68/11.80 define([status(thm)])). 88.68/11.80 thf('8', plain, 88.68/11.80 (( amone ) = 88.68/11.80 ( ^[X0:$i,X1:( $i > $o )]: 88.68/11.80 ( all_of @ 88.68/11.80 ( ^[X2:$i]: ( in @ X2 @ X0 ) ) @ 88.68/11.80 ( ^[X2:$i]: 88.68/11.80 ( all_of @ 88.68/11.80 ( ^[X3:$i]: ( in @ X3 @ X0 ) ) @ 88.68/11.80 ( ^[X3:$i]: 88.68/11.80 ( ( X1 @ X2 ) => ( ( X1 @ X3 ) => ( e_is @ X0 @ X2 @ X3 ) ) ) ) ) ) ) )), 88.68/11.80 inference('simplify_rw_rule', [status(thm)], [def_amone, '1', '7', '5'])). 88.68/11.80 thf('9', plain, 88.68/11.80 (( amone ) = 88.68/11.80 ( ^[V_1:$i,V_2:( $i > $o )]: 88.68/11.80 ( all_of @ 88.68/11.80 ( ^[V_3:$i]: ( in @ V_3 @ V_1 ) ) @ 88.68/11.80 ( ^[V_4:$i]: 88.68/11.80 ( all_of @ 88.68/11.80 ( ^[V_5:$i]: ( in @ V_5 @ V_1 ) ) @ 88.68/11.80 ( ^[V_6:$i]: 88.68/11.80 ( ( V_2 @ V_4 ) => 88.68/11.80 ( ( V_2 @ V_6 ) => ( e_is @ V_1 @ V_4 @ V_6 ) ) ) ) ) ) ) )), 88.68/11.80 define([status(thm)])). 88.68/11.80 thf(satz8b, conjecture, 88.68/11.80 (all_of @ 88.68/11.80 ( ^[X0:$i]: ( in @ X0 @ nat ) ) @ 88.68/11.80 ( ^[X0:$i]: 88.68/11.80 ( all_of @ 88.68/11.80 ( ^[X1:$i]: ( in @ X1 @ nat ) ) @ 88.68/11.80 ( ^[X1:$i]: 88.68/11.80 ( amone @ nat @ ( ^[X2:$i]: ( n_is @ X0 @ ( n_pl @ X1 @ X2 ) ) ) ) ) ) ))). 88.68/11.80 thf(zf_stmt_0, conjecture, 88.68/11.80 (![X4:$i]: 88.68/11.80 ( ( in @ X4 @ nat ) => 88.68/11.80 ( ![X6:$i]: 88.68/11.80 ( ( in @ X6 @ nat ) => 88.68/11.80 ( ![X8:$i]: 88.68/11.80 ( ( in @ X8 @ nat ) => 88.68/11.80 ( ![X10:$i]: 88.68/11.80 ( ( in @ X10 @ nat ) => 88.68/11.80 ( ( ( X4 ) = ( n_pl @ X6 @ X8 ) ) => 88.68/11.80 ( ( ( X4 ) = ( n_pl @ X6 @ X10 ) ) => ( ( X8 ) = ( X10 ) ) ) ) ) ) ) ) ) ) ))). 88.68/11.80 thf(zf_stmt_1, negated_conjecture, 88.68/11.80 (~( ![X4:$i]: 88.68/11.80 ( ( in @ X4 @ nat ) => 88.68/11.80 ( ![X6:$i]: 88.68/11.80 ( ( in @ X6 @ nat ) => 88.68/11.80 ( ![X8:$i]: 88.68/11.80 ( ( in @ X8 @ nat ) => 88.68/11.80 ( ![X10:$i]: 88.68/11.80 ( ( in @ X10 @ nat ) => 88.68/11.80 ( ( ( X4 ) = ( n_pl @ X6 @ X8 ) ) => 88.68/11.80 ( ( ( X4 ) = ( n_pl @ X6 @ X10 ) ) => 88.68/11.80 ( ( X8 ) = ( X10 ) ) ) ) ) ) ) ) ) ) ) )), 88.68/11.80 inference('cnf.neg', [status(esa)], [zf_stmt_0])). 88.68/11.80 thf(zip_derived_cl126, plain, 88.68/11.80 (~ (((!!) @ (^[Y0 : $i]: 88.68/11.80 (((in @ Y0 @ nat) => 88.68/11.80 (((!!) @ (^[Y1 : $i]: 88.68/11.80 (((in @ Y1 @ nat) => 88.68/11.80 (((!!) @ (^[Y2 : $i]: 88.68/11.80 (((in @ Y2 @ nat) => 88.68/11.80 (((!!) @ (^[Y3 : $i]: 88.68/11.80 (((in @ Y3 @ 88.68/11.80 nat) => 88.68/11.80 (((((Y0) = 88.68/11.80 (n_pl @ 88.68/11.80 Y1 @ Y2))) => 88.68/11.80 (((( 88.68/11.80 (Y0) = 88.68/11.80 (n_pl @ 88.68/11.80 Y1 @ Y3))) => 88.68/11.80 (( 88.68/11.80 (Y2) = 88.68/11.80 (Y3)))))))))))))))))))))))))))), 88.68/11.80 inference('cnf', [status(esa)], [zf_stmt_1])). 88.68/11.80 thf(zip_derived_cl4273, plain, 88.68/11.80 (~ (((in @ '#sk6082' @ nat) => 88.68/11.80 (((!!) @ (^[Y0 : $i]: 88.68/11.80 (((in @ Y0 @ nat) => 88.68/11.80 (((!!) @ (^[Y1 : $i]: 88.68/11.80 (((in @ Y1 @ nat) => 88.68/11.80 (((!!) @ (^[Y2 : $i]: 88.68/11.80 (((in @ Y2 @ nat) => 88.68/11.80 ((((('#sk6082') = (n_pl @ 88.68/11.80 Y0 @ Y1))) => 88.68/11.80 ((((('#sk6082') = 88.68/11.80 (n_pl @ Y0 @ Y2))) => 88.68/11.80 (((Y1) = (Y2))))))))))))))))))))))))), 88.68/11.80 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl126])). 88.68/11.80 thf(zip_derived_cl4275, plain, 88.68/11.80 (~ (((!!) @ (^[Y0 : $i]: 88.68/11.80 (((in @ Y0 @ nat) => 88.68/11.80 (((!!) @ (^[Y1 : $i]: 88.68/11.80 (((in @ Y1 @ nat) => 88.68/11.80 (((!!) @ (^[Y2 : $i]: 88.68/11.80 (((in @ Y2 @ nat) => 88.68/11.80 ((((('#sk6082') = (n_pl @ 88.68/11.80 Y0 @ Y1))) => 88.68/11.80 ((((('#sk6082') = (n_pl @ 88.68/11.80 Y0 @ Y2))) => 88.68/11.80 (((Y1) = (Y2))))))))))))))))))))))), 88.68/11.80 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl4273])). 88.68/11.80 thf(zip_derived_cl4276, plain, 88.68/11.80 (~ (((in @ '#sk6083' @ nat) => 88.68/11.80 (((!!) @ (^[Y0 : $i]: 88.68/11.80 (((in @ Y0 @ nat) => 88.68/11.80 (((!!) @ (^[Y1 : $i]: 88.68/11.80 (((in @ Y1 @ nat) => 88.68/11.80 ((((('#sk6082') = (n_pl @ '#sk6083' @ 88.68/11.80 Y0))) => 88.68/11.80 ((((('#sk6082') = (n_pl @ '#sk6083' @ 88.68/11.80 Y1))) => 88.68/11.80 (((Y0) = (Y1)))))))))))))))))))), 88.68/11.80 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl4275])). 88.68/11.80 thf(zip_derived_cl4278, plain, 88.68/11.80 (~ (((!!) @ (^[Y0 : $i]: 88.68/11.80 (((in @ Y0 @ nat) => 88.68/11.80 (((!!) @ (^[Y1 : $i]: 88.68/11.80 (((in @ Y1 @ nat) => 88.68/11.80 ((((('#sk6082') = (n_pl @ '#sk6083' @ Y0))) => 88.68/11.80 ((((('#sk6082') = (n_pl @ '#sk6083' @ 88.68/11.80 Y1))) => 88.68/11.80 (((Y0) = (Y1)))))))))))))))))), 88.68/11.80 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl4276])). 88.68/11.80 thf(zip_derived_cl4279, plain, 88.68/11.80 (~ (((in @ '#sk6084' @ nat) => 88.68/11.80 (((!!) @ (^[Y0 : $i]: 88.68/11.80 (((in @ Y0 @ nat) => 88.68/11.80 ((((('#sk6082') = (n_pl @ '#sk6083' @ '#sk6084'))) => 88.68/11.80 ((((('#sk6082') = (n_pl @ '#sk6083' @ Y0))) => 88.68/11.80 ((('#sk6084') = (Y0))))))))))))))), 88.68/11.80 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl4278])). 88.68/11.80 thf(zip_derived_cl4281, plain, 88.68/11.80 (~ (((!!) @ (^[Y0 : $i]: 88.68/11.80 (((in @ Y0 @ nat) => 88.68/11.80 ((((('#sk6082') = (n_pl @ '#sk6083' @ '#sk6084'))) => 88.68/11.80 ((((('#sk6082') = (n_pl @ '#sk6083' @ Y0))) => 88.68/11.80 ((('#sk6084') = (Y0))))))))))))), 88.68/11.80 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl4279])). 88.68/11.80 thf(zip_derived_cl4282, plain, 88.68/11.80 (~ (((in @ '#sk6085' @ nat) => 88.68/11.80 ((((('#sk6082') = (n_pl @ '#sk6083' @ '#sk6084'))) => 88.68/11.80 ((((('#sk6082') = (n_pl @ '#sk6083' @ '#sk6085'))) => 88.68/11.80 ((('#sk6084') = ('#sk6085')))))))))), 88.68/11.80 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl4281])). 88.68/11.80 thf(zip_derived_cl4284, plain, 88.68/11.80 (~ ((((('#sk6082') = (n_pl @ '#sk6083' @ '#sk6084'))) => 88.68/11.80 ((((('#sk6082') = (n_pl @ '#sk6083' @ '#sk6085'))) => 88.68/11.80 ((('#sk6084') = ('#sk6085')))))))), 88.68/11.80 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl4282])). 88.68/11.80 thf(zip_derived_cl4286, plain, 88.68/11.80 (~ ((((('#sk6082') = (n_pl @ '#sk6083' @ '#sk6085'))) => 88.68/11.80 ((('#sk6084') = ('#sk6085')))))), 88.68/11.80 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl4284])). 88.68/11.80 thf(zip_derived_cl4288, plain, 88.68/11.80 ( ((('#sk6082') = (n_pl @ '#sk6083' @ '#sk6085')))), 88.68/11.80 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl4286])). 88.68/11.80 thf(zip_derived_cl4290, plain, 88.68/11.80 ((('#sk6082') = (n_pl @ '#sk6083' @ '#sk6085'))), 88.68/11.80 inference('simplify nested equalities', [status(thm)], 88.68/11.80 [zip_derived_cl4288])). 88.68/11.80 thf(zip_derived_cl4285, plain, 88.68/11.80 ( ((('#sk6082') = (n_pl @ '#sk6083' @ '#sk6084')))), 88.68/11.80 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl4284])). 88.68/11.80 thf(zip_derived_cl4287, plain, 88.68/11.80 ((('#sk6082') = (n_pl @ '#sk6083' @ '#sk6084'))), 88.68/11.80 inference('simplify nested equalities', [status(thm)], 88.68/11.80 [zip_derived_cl4285])). 88.68/11.80 thf(satz8a, axiom, 88.68/11.80 (all_of @ 88.68/11.80 ( ^[X0:$i]: ( in @ X0 @ nat ) ) @ 88.68/11.80 ( ^[X0:$i]: 88.68/11.80 ( all_of @ 88.68/11.80 ( ^[X1:$i]: ( in @ X1 @ nat ) ) @ 88.68/11.80 ( ^[X1:$i]: 88.68/11.80 ( all_of @ 88.68/11.80 ( ^[X2:$i]: ( in @ X2 @ nat ) ) @ 88.68/11.80 ( ^[X2:$i]: 88.68/11.80 ( ( n_is @ ( n_pl @ X0 @ X1 ) @ ( n_pl @ X0 @ X2 ) ) => 88.68/11.80 ( n_is @ X1 @ X2 ) ) ) ) ) ) ))). 88.68/11.80 thf(zf_stmt_2, axiom, 88.68/11.80 (![X4:$i]: 88.68/11.80 ( ( in @ X4 @ nat ) => 88.68/11.80 ( ![X6:$i]: 88.68/11.80 ( ( in @ X6 @ nat ) => 88.68/11.80 ( ![X8:$i]: 88.68/11.80 ( ( in @ X8 @ nat ) => 88.68/11.80 ( ( ( n_pl @ X4 @ X6 ) = ( n_pl @ X4 @ X8 ) ) => 88.68/11.80 ( ( X6 ) = ( X8 ) ) ) ) ) ) ) ))). 88.68/11.80 thf(zip_derived_cl120, plain, 88.68/11.80 ( (((!!) @ (^[Y0 : $i]: 88.68/11.80 (((in @ Y0 @ nat) => 88.68/11.80 (((!!) @ (^[Y1 : $i]: 88.68/11.80 (((in @ Y1 @ nat) => 88.68/11.80 (((!!) @ (^[Y2 : $i]: 88.68/11.80 (((in @ Y2 @ nat) => 88.68/11.80 (((((n_pl @ Y0 @ Y1) = 88.68/11.80 (n_pl @ Y0 @ Y2))) => 88.68/11.80 (((Y1) = (Y2))))))))))))))))))))), 88.68/11.80 inference('cnf', [status(esa)], [zf_stmt_2])). 88.68/11.80 thf(zip_derived_cl3873, plain, 88.68/11.80 (![X2 : $i]: 88.68/11.80 (((in @ X2 @ nat) => 88.68/11.80 (((!!) @ (^[Y0 : $i]: 88.68/11.80 (((in @ Y0 @ nat) => 88.68/11.80 (((!!) @ (^[Y1 : $i]: 88.68/11.80 (((in @ Y1 @ nat) => 88.68/11.80 (((((n_pl @ X2 @ Y0) = (n_pl @ X2 @ Y1))) => 88.68/11.80 (((Y0) = (Y1)))))))))))))))))), 88.68/11.80 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl120])). 88.68/11.80 thf(zip_derived_cl3874, plain, 88.68/11.80 (![X2 : $i]: 88.68/11.80 (~ (in @ X2 @ nat) 88.68/11.80 | (((!!) @ (^[Y0 : $i]: 88.68/11.80 (((in @ Y0 @ nat) => 88.68/11.80 (((!!) @ (^[Y1 : $i]: 88.68/11.80 (((in @ Y1 @ nat) => 88.68/11.80 (((((n_pl @ X2 @ Y0) = (n_pl @ X2 @ 88.68/11.80 Y1))) => 88.68/11.80 (((Y0) = (Y1))))))))))))))))), 88.68/11.80 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl3873])). 88.68/11.80 thf(zip_derived_cl3875, plain, 88.68/11.80 (![X2 : $i, X4 : $i]: 88.68/11.80 ( (((in @ X4 @ nat) => 88.68/11.80 (((!!) @ (^[Y0 : $i]: 88.68/11.80 (((in @ Y0 @ nat) => 88.68/11.80 (((((n_pl @ X2 @ X4) = (n_pl @ X2 @ Y0))) => 88.68/11.80 (((X4) = (Y0)))))))))))) 88.68/11.80 | ~ (in @ X2 @ nat))), 88.68/11.80 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl3874])). 88.68/11.80 thf(zip_derived_cl3876, plain, 88.68/11.80 (![X2 : $i, X4 : $i]: 88.68/11.80 (~ (in @ X4 @ nat) 88.68/11.80 | (((!!) @ (^[Y0 : $i]: 88.68/11.80 (((in @ Y0 @ nat) => 88.68/11.80 (((((n_pl @ X2 @ X4) = (n_pl @ X2 @ Y0))) => 88.68/11.80 (((X4) = (Y0)))))))))) 88.68/11.80 | ~ (in @ X2 @ nat))), 88.68/11.80 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl3875])). 88.68/11.80 thf(zip_derived_cl3877, plain, 88.68/11.80 (![X2 : $i, X4 : $i, X6 : $i]: 88.68/11.80 ( (((in @ X6 @ nat) => 88.68/11.80 (((((n_pl @ X2 @ X4) = (n_pl @ X2 @ X6))) => (((X4) = (X6))))))) 88.68/11.80 | ~ (in @ X2 @ nat) 88.68/11.80 | ~ (in @ X4 @ nat))), 88.68/11.80 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl3876])). 88.68/11.80 thf(zip_derived_cl3878, plain, 88.68/11.80 (![X2 : $i, X4 : $i, X6 : $i]: 88.68/11.80 (~ (in @ X6 @ nat) 88.68/11.80 | (((((n_pl @ X2 @ X4) = (n_pl @ X2 @ X6))) => (((X4) = (X6))))) 88.68/11.80 | ~ (in @ X4 @ nat) 88.68/11.80 | ~ (in @ X2 @ nat))), 88.68/11.80 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl3877])). 88.68/11.80 thf(zip_derived_cl3879, plain, 88.68/11.80 (![X2 : $i, X4 : $i, X6 : $i]: 88.68/11.80 (~ (((n_pl @ X2 @ X4) = (n_pl @ X2 @ X6))) 88.68/11.80 | (((X4) = (X6))) 88.68/11.80 | ~ (in @ X2 @ nat) 88.68/11.80 | ~ (in @ X4 @ nat) 88.68/11.80 | ~ (in @ X6 @ nat))), 88.68/11.80 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl3878])). 88.68/11.80 thf(zip_derived_cl3880, plain, 88.68/11.80 (![X2 : $i, X4 : $i, X6 : $i]: 88.68/11.80 (((n_pl @ X2 @ X4) != (n_pl @ X2 @ X6)) 88.68/11.80 | ((X4) = (X6)) 88.68/11.80 | ~ (in @ X2 @ nat) 88.68/11.80 | ~ (in @ X4 @ nat) 88.68/11.80 | ~ (in @ X6 @ nat))), 88.68/11.80 inference('simplify nested equalities', [status(thm)], 88.68/11.80 [zip_derived_cl3879])). 88.68/11.80 thf(zip_derived_cl4825, plain, 88.68/11.80 (![X0 : $i]: 88.68/11.80 (((n_pl @ '#sk6083' @ X0) != ('#sk6082')) 88.68/11.80 | ~ (in @ '#sk6084' @ nat) 88.68/11.80 | ~ (in @ X0 @ nat) 88.68/11.80 | ~ (in @ '#sk6083' @ nat) 88.68/11.80 | ((X0) = ('#sk6084')))), 88.68/11.80 inference('sup-', [status(thm)], [zip_derived_cl4287, zip_derived_cl3880])). 88.68/11.80 thf(zip_derived_cl4280, plain, ( (in @ '#sk6084' @ nat)), 88.68/11.80 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl4279])). 88.68/11.80 thf(zip_derived_cl4277, plain, ( (in @ '#sk6083' @ nat)), 88.68/11.80 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl4276])). 88.68/11.80 thf(zip_derived_cl4840, plain, 88.68/11.80 (![X0 : $i]: 88.68/11.80 (((n_pl @ '#sk6083' @ X0) != ('#sk6082')) 88.68/11.80 | ~ (in @ X0 @ nat) 88.68/11.80 | ((X0) = ('#sk6084')))), 88.68/11.80 inference('demod', [status(thm)], 88.68/11.80 [zip_derived_cl4825, zip_derived_cl4280, zip_derived_cl4277])). 88.68/11.80 thf(zip_derived_cl5134, plain, 88.68/11.80 (((('#sk6082') != ('#sk6082')) 88.68/11.80 | (('#sk6085') = ('#sk6084')) 88.68/11.80 | ~ (in @ '#sk6085' @ nat))), 88.68/11.80 inference('sup-', [status(thm)], [zip_derived_cl4290, zip_derived_cl4840])). 88.68/11.80 thf(zip_derived_cl4283, plain, ( (in @ '#sk6085' @ nat)), 88.68/11.80 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl4282])). 88.68/11.80 thf(zip_derived_cl5140, plain, 88.68/11.80 (((('#sk6082') != ('#sk6082')) | (('#sk6085') = ('#sk6084')))), 88.68/11.80 inference('demod', [status(thm)], 88.68/11.80 [zip_derived_cl5134, zip_derived_cl4283])). 88.68/11.80 thf(zip_derived_cl5141, plain, ((('#sk6085') = ('#sk6084'))), 88.68/11.80 inference('simplify', [status(thm)], [zip_derived_cl5140])). 88.68/11.80 thf(zip_derived_cl4289, plain, (~ ((('#sk6084') = ('#sk6085')))), 88.68/11.80 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl4286])). 88.68/11.80 thf(zip_derived_cl4291, plain, ((('#sk6084') != ('#sk6085'))), 88.68/11.80 inference('simplify nested equalities', [status(thm)], 88.68/11.80 [zip_derived_cl4289])). 88.68/11.80 thf(zip_derived_cl5142, plain, ($false), 88.68/11.80 inference('simplify_reflect-', [status(thm)], 88.68/11.80 [zip_derived_cl5141, zip_derived_cl4291])). 88.68/11.80 88.68/11.80 % SZS output end Refutation 88.68/11.80 88.68/11.80 88.68/11.80 % Terminating... 89.46/11.91 % Runner terminated. 89.46/11.92 % Zipperpin 1.5 exiting 89.46/11.93 EOF