0.06/0.11 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.06/0.12 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.UUXqVgY0PI true 0.11/0.32 % Computer : n027.cluster.edu 0.11/0.32 % Model : x86_64 x86_64 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.11/0.32 % Memory : 8042.1875MB 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64 0.11/0.32 % CPULimit : 1200 0.11/0.32 % WCLimit : 120 0.11/0.32 % DateTime : Tue Jul 13 12:26:40 EDT 2021 0.11/0.32 % CPUTime : 0.11/0.32 % Running portfolio for 120 s 0.11/0.32 % File : /export/starexec/sandbox/benchmark/theBenchmark.p 0.11/0.33 % Number of cores: 8 0.11/0.33 % Python version: Python 3.6.8 0.11/0.33 % Running in HO mode 0.45/0.61 % Total configuration time : 828 0.45/0.61 % Estimated wc time : 983 0.45/0.61 % Estimated cpu time (8 cpus) : 122.875 0.49/0.69 % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 47s 0.49/0.69 % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 47s 0.49/0.69 % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 18s 0.49/0.69 % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 53s 0.49/0.70 % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 41s 0.49/0.70 % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 24s 0.49/0.70 % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 47s 0.49/0.70 % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 35s 5.56/1.27 % Solved by lams/20_acsne_simpl.sh. 5.56/1.27 % done 281 iterations in 0.523s 5.56/1.27 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p' 5.56/1.27 % SZS output start Refutation 5.56/1.27 thf(a_type, type, a: $tType). 5.56/1.27 thf('#sk1_type', type, '#sk1': a > $o). 5.56/1.27 thf('#_fresh_sk4_type', type, '#_fresh_sk4': a). 5.56/1.27 thf('#sk3_type', type, '#sk3': a > $o). 5.56/1.27 thf('#form110_type', type, '#form110': $o). 5.56/1.27 thf('#sk111_type', type, '#sk111': a). 5.56/1.27 thf('#sk109_type', type, '#sk109': a > $o). 5.56/1.27 thf('#sk14_type', type, '#sk14': (a > $o) > a). 5.56/1.27 thf('#sk22_type', type, '#sk22': (a > $o) > a). 5.56/1.27 thf('#form62_type', type, '#form62': a > $o). 5.56/1.27 thf('#sk2_type', type, '#sk2': a > $o). 5.56/1.27 thf(cBOOL_PROP_57_pme, conjecture, 5.56/1.27 (![X:( a > $o ),Y:( a > $o ),Z:( a > $o )]: 5.56/1.27 ( ( ( X ) = ( ^[Xx:a]: ( ( Z @ Xx ) & ( Y @ Xx ) ) ) ) <=> 5.56/1.27 ( ( ![Xx:a]: ( ( X @ Xx ) => ( Y @ Xx ) ) ) & 5.56/1.27 ( ![V:( a > $o )]: 5.56/1.27 ( ( ( ![Xx:a]: ( ( V @ Xx ) => ( Y @ Xx ) ) ) & 5.56/1.27 ( ![Xx:a]: ( ( V @ Xx ) => ( Z @ Xx ) ) ) ) => 5.56/1.27 ( ![Xx:a]: ( ( V @ Xx ) => ( X @ Xx ) ) ) ) ) & 5.56/1.27 ( ![Xx:a]: ( ( X @ Xx ) => ( Z @ Xx ) ) ) ) ))). 5.56/1.27 thf(zf_stmt_0, negated_conjecture, 5.56/1.27 (~( ![X:( a > $o ),Y:( a > $o ),Z:( a > $o )]: 5.56/1.27 ( ( ( X ) = ( ^[Xx:a]: ( ( Z @ Xx ) & ( Y @ Xx ) ) ) ) <=> 5.56/1.27 ( ( ![Xx:a]: ( ( X @ Xx ) => ( Y @ Xx ) ) ) & 5.56/1.27 ( ![V:( a > $o )]: 5.56/1.27 ( ( ( ![Xx:a]: ( ( V @ Xx ) => ( Y @ Xx ) ) ) & 5.56/1.27 ( ![Xx:a]: ( ( V @ Xx ) => ( Z @ Xx ) ) ) ) => 5.56/1.27 ( ![Xx:a]: ( ( V @ Xx ) => ( X @ Xx ) ) ) ) ) & 5.56/1.27 ( ![Xx:a]: ( ( X @ Xx ) => ( Z @ Xx ) ) ) ) ) )), 5.56/1.27 inference('cnf.neg', [status(esa)], [cBOOL_PROP_57_pme])). 5.56/1.27 thf(zip_derived_cl0, plain, 5.56/1.27 (~ (((!!) @ (^[Y0 : a > $o]: 5.56/1.27 (((!!) @ (^[Y1 : a > $o]: 5.56/1.27 (((!!) @ (^[Y2 : a > $o]: 5.56/1.27 (((((Y0) = 5.56/1.27 ((^[Y3 : a]: 5.56/1.27 (((Y2 @ Y3) & (Y1 @ Y3))))))) <=> 5.56/1.27 (((((!!) @ (^[Y3 : a]: 5.56/1.27 (((Y0 @ Y3) => 5.56/1.27 (Y1 @ Y3)))))) & 5.56/1.27 (((!!) @ (^[Y3 : a > $o]: 5.56/1.27 (((((((!!) @ ( 5.56/1.27 ^[Y4 : a]: 5.56/1.27 (( 5.56/1.27 (Y3 @ 5.56/1.27 Y4) => 5.56/1.27 (Y1 @ Y4)))))) & 5.56/1.27 (((!!) @ ( 5.56/1.27 ^[Y4 : a]: 5.56/1.27 (( 5.56/1.27 (Y3 @ 5.56/1.27 Y4) => 5.56/1.27 (Y2 @ Y4)))))))) => 5.56/1.27 (((!!) @ ( 5.56/1.27 ^[Y4 : a]: 5.56/1.27 (((Y3 @ 5.56/1.27 Y4) => 5.56/1.27 (Y0 @ Y4))))))))))) & 5.56/1.27 (((!!) @ (^[Y3 : a]: 5.56/1.27 (((Y0 @ Y3) => 5.56/1.27 (Y2 @ Y3)))))))))))))))))))), 5.56/1.27 inference('cnf', [status(esa)], [zf_stmt_0])). 5.56/1.27 thf(zip_derived_cl1, plain, 5.56/1.27 (~ (((!!) @ (^[Y0 : a > $o]: 5.56/1.27 (((!!) @ (^[Y1 : a > $o]: 5.56/1.27 ((((('#sk1') = 5.56/1.27 ((^[Y2 : a]: (((Y1 @ Y2) & (Y0 @ Y2))))))) <=> 5.56/1.27 (((((!!) @ (^[Y2 : a]: 5.56/1.27 ((('#sk1' @ Y2) => (Y0 @ Y2)))))) & 5.56/1.27 (((!!) @ (^[Y2 : a > $o]: 5.56/1.27 (((((((!!) @ (^[Y3 : a]: 5.56/1.27 (((Y2 @ Y3) => 5.56/1.27 (Y0 @ Y3)))))) & 5.56/1.27 (((!!) @ (^[Y3 : a]: 5.56/1.27 (((Y2 @ Y3) => 5.56/1.27 (Y1 @ Y3)))))))) => 5.56/1.27 (((!!) @ (^[Y3 : a]: 5.56/1.27 (((Y2 @ Y3) => 5.56/1.27 ('#sk1' @ Y3))))))))))) & 5.56/1.27 (((!!) @ (^[Y2 : a]: 5.56/1.27 ((('#sk1' @ Y2) => (Y1 @ Y2))))))))))))))))), 5.56/1.27 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl0])). 5.56/1.27 thf(zip_derived_cl2, plain, 5.56/1.27 (~ (((!!) @ (^[Y0 : a > $o]: 5.56/1.27 ((((('#sk1') = 5.56/1.27 ((^[Y1 : a]: (((Y0 @ Y1) & ('#sk2' @ Y1))))))) <=> 5.56/1.27 (((((!!) @ (^[Y1 : a]: 5.56/1.27 ((('#sk1' @ Y1) => ('#sk2' @ Y1)))))) & 5.56/1.27 (((!!) @ (^[Y1 : a > $o]: 5.56/1.27 (((((((!!) @ (^[Y2 : a]: 5.56/1.27 (((Y1 @ Y2) => ('#sk2' @ 5.56/1.27 Y2)))))) & 5.56/1.27 (((!!) @ (^[Y2 : a]: 5.56/1.27 (((Y1 @ Y2) => (Y0 @ Y2)))))))) => 5.56/1.27 (((!!) @ (^[Y2 : a]: 5.56/1.27 (((Y1 @ Y2) => ('#sk1' @ Y2))))))))))) & 5.56/1.27 (((!!) @ (^[Y1 : a]: ((('#sk1' @ Y1) => (Y0 @ Y1)))))))))))))), 5.56/1.27 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl1])). 5.56/1.27 thf(zip_derived_cl3, plain, 5.56/1.27 (~ ((((('#sk1') = ((^[Y0 : a]: ((('#sk3' @ Y0) & ('#sk2' @ Y0))))))) <=> 5.56/1.27 (((((!!) @ (^[Y0 : a]: ((('#sk1' @ Y0) => ('#sk2' @ Y0)))))) & 5.56/1.27 (((!!) @ (^[Y0 : a > $o]: 5.56/1.27 (((((((!!) @ (^[Y1 : a]: 5.56/1.27 (((Y0 @ Y1) => ('#sk2' @ Y1)))))) & 5.56/1.27 (((!!) @ (^[Y1 : a]: 5.56/1.27 (((Y0 @ Y1) => ('#sk3' @ Y1)))))))) => 5.56/1.27 (((!!) @ (^[Y1 : a]: (((Y0 @ Y1) => ('#sk1' @ Y1))))))))))) & 5.56/1.27 (((!!) @ (^[Y0 : a]: ((('#sk1' @ Y0) => ('#sk3' @ Y0))))))))))), 5.56/1.27 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl2])). 5.56/1.27 thf(zip_derived_cl4, plain, 5.56/1.27 ((((('#sk1') = ((^[Y0 : a]: ((('#sk3' @ Y0) & ('#sk2' @ Y0))))))) 5.56/1.27 != (((((!!) @ (^[Y0 : a]: ((('#sk1' @ Y0) => ('#sk2' @ Y0)))))) & 5.56/1.27 (((!!) @ (^[Y0 : a > $o]: 5.56/1.27 (((((((!!) @ (^[Y1 : a]: 5.56/1.27 (((Y0 @ Y1) => ('#sk2' @ Y1)))))) & 5.56/1.27 (((!!) @ (^[Y1 : a]: 5.56/1.27 (((Y0 @ Y1) => ('#sk3' @ Y1)))))))) => 5.56/1.27 (((!!) @ (^[Y1 : a]: (((Y0 @ Y1) => ('#sk1' @ Y1))))))))))) & 5.56/1.27 (((!!) @ (^[Y0 : a]: ((('#sk1' @ Y0) => ('#sk3' @ Y0)))))))))), 5.56/1.27 inference('simplify nested equalities', [status(thm)], [zip_derived_cl3])). 5.56/1.27 thf(zip_derived_cl5, plain, 5.56/1.27 (( ((('#sk1') = ((^[Y0 : a]: ((('#sk3' @ Y0) & ('#sk2' @ Y0))))))) 5.56/1.27 | (((((!!) @ (^[Y0 : a]: ((('#sk1' @ Y0) => ('#sk2' @ Y0)))))) & 5.56/1.27 (((!!) @ (^[Y0 : a > $o]: 5.56/1.27 (((((((!!) @ (^[Y1 : a]: 5.56/1.27 (((Y0 @ Y1) => ('#sk2' @ Y1)))))) & 5.56/1.27 (((!!) @ (^[Y1 : a]: 5.56/1.27 (((Y0 @ Y1) => ('#sk3' @ Y1)))))))) => 5.56/1.27 (((!!) @ (^[Y1 : a]: (((Y0 @ Y1) => ('#sk1' @ Y1))))))))))) & 5.56/1.27 (((!!) @ (^[Y0 : a]: ((('#sk1' @ Y0) => ('#sk3' @ Y0)))))))))), 5.56/1.27 inference('eq_elim', [status(thm)], [zip_derived_cl4])). 5.56/1.27 thf(zip_derived_cl7, plain, 5.56/1.27 (((('#sk1') = ((^[Y0 : a]: ((('#sk3' @ Y0) & ('#sk2' @ Y0)))))) 5.56/1.27 | (((((!!) @ (^[Y0 : a]: ((('#sk1' @ Y0) => ('#sk2' @ Y0)))))) & 5.56/1.27 (((!!) @ (^[Y0 : a > $o]: 5.56/1.27 (((((((!!) @ (^[Y1 : a]: 5.56/1.27 (((Y0 @ Y1) => ('#sk2' @ Y1)))))) & 5.56/1.27 (((!!) @ (^[Y1 : a]: 5.56/1.27 (((Y0 @ Y1) => ('#sk3' @ Y1)))))))) => 5.56/1.27 (((!!) @ (^[Y1 : a]: (((Y0 @ Y1) => ('#sk1' @ Y1))))))))))) & 5.56/1.27 (((!!) @ (^[Y0 : a]: ((('#sk1' @ Y0) => ('#sk3' @ Y0)))))))))), 5.56/1.27 inference('simplify nested equalities', [status(thm)], [zip_derived_cl5])). 5.56/1.27 thf(zip_derived_cl8, plain, 5.56/1.27 (![X2 : a]: 5.56/1.27 ((('#sk1' @ X2) 5.56/1.27 = ((^[Y0 : a]: ((('#sk3' @ Y0) & ('#sk2' @ Y0)))) @ X2)) 5.56/1.27 | (((((!!) @ (^[Y0 : a]: ((('#sk1' @ Y0) => ('#sk2' @ Y0)))))) & 5.56/1.27 (((!!) @ (^[Y0 : a > $o]: 5.56/1.27 (((((((!!) @ (^[Y1 : a]: 5.56/1.27 (((Y0 @ Y1) => ('#sk2' @ Y1)))))) & 5.56/1.27 (((!!) @ (^[Y1 : a]: 5.56/1.27 (((Y0 @ Y1) => ('#sk3' @ Y1)))))))) => 5.56/1.27 (((!!) @ (^[Y1 : a]: 5.56/1.27 (((Y0 @ Y1) => ('#sk1' @ Y1))))))))))) & 5.56/1.27 (((!!) @ (^[Y0 : a]: ((('#sk1' @ Y0) => ('#sk3' @ Y0)))))))))), 5.56/1.27 inference('arg_cong_simpl', [status(thm)], [zip_derived_cl7])). 5.56/1.27 thf(zip_derived_cl9, plain, 5.56/1.27 (![X2 : a]: 5.56/1.27 ((('#sk1' @ X2) = ((('#sk3' @ X2) & ('#sk2' @ X2)))) 5.56/1.27 | (((((!!) @ (^[Y0 : a]: ((('#sk1' @ Y0) => ('#sk2' @ Y0)))))) & 5.56/1.27 (((!!) @ (^[Y0 : a > $o]: 5.56/1.27 (((((((!!) @ (^[Y1 : a]: 5.56/1.27 (((Y0 @ Y1) => ('#sk2' @ Y1)))))) & 5.56/1.27 (((!!) @ (^[Y1 : a]: 5.56/1.27 (((Y0 @ Y1) => ('#sk3' @ Y1)))))))) => 5.56/1.27 (((!!) @ (^[Y1 : a]: 5.56/1.27 (((Y0 @ Y1) => ('#sk1' @ Y1))))))))))) & 5.56/1.27 (((!!) @ (^[Y0 : a]: ((('#sk1' @ Y0) => ('#sk3' @ Y0)))))))))), 5.56/1.27 inference('ho_norm', [status(thm)], [zip_derived_cl8])). 5.56/1.27 thf(zip_derived_cl14, plain, 5.56/1.27 (![X2 : a]: 5.56/1.27 ( (((!!) @ (^[Y0 : a > $o]: 5.56/1.27 (((((((!!) @ (^[Y1 : a]: (((Y0 @ Y1) => ('#sk2' @ Y1)))))) & 5.56/1.27 (((!!) @ (^[Y1 : a]: (((Y0 @ Y1) => ('#sk3' @ Y1)))))))) => 5.56/1.27 (((!!) @ (^[Y1 : a]: (((Y0 @ Y1) => ('#sk1' @ Y1))))))))))) 5.56/1.27 | (('#sk1' @ X2) = ((('#sk3' @ X2) & ('#sk2' @ X2)))))), 5.56/1.27 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl9])). 5.56/1.27 thf(zip_derived_cl17, plain, 5.56/1.27 (![X2 : a, X4 : a > $o]: 5.56/1.27 ( (((((((!!) @ (^[Y0 : a]: (((X4 @ Y0) => ('#sk2' @ Y0)))))) & 5.56/1.27 (((!!) @ (^[Y0 : a]: (((X4 @ Y0) => ('#sk3' @ Y0)))))))) => 5.56/1.27 (((!!) @ (^[Y0 : a]: (((X4 @ Y0) => ('#sk1' @ Y0)))))))) 5.56/1.27 | (('#sk1' @ X2) = ((('#sk3' @ X2) & ('#sk2' @ X2)))))), 5.56/1.27 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl14])). 5.56/1.27 thf(zip_derived_cl20, plain, 5.56/1.27 (![X0 : a]: 5.56/1.27 ( (((((((!!) @ (^[Y0 : a]: 5.56/1.27 ((((('#sk3' @ Y0) & ('#sk2' @ Y0))) => ('#sk2' @ Y0)))))) & 5.56/1.27 (((!!) @ (^[Y0 : a]: 5.56/1.27 ((((('#sk3' @ Y0) & ('#sk2' @ Y0))) => ('#sk3' @ Y0)))))))) => 5.56/1.27 (((!!) @ (^[Y0 : a]: 5.56/1.27 ((((('#sk3' @ Y0) & ('#sk2' @ Y0))) => ('#sk1' @ Y0)))))))) 5.56/1.27 | (('#sk1' @ X0) = ((('#sk3' @ X0) & ('#sk2' @ X0)))))), 5.56/1.27 inference('triggered_bool_instantiation', [status(thm)], 5.56/1.27 [zip_derived_cl17])). 5.56/1.27 thf(zip_derived_cl391, plain, 5.56/1.27 (![X0 : a]: 5.56/1.27 ( (((!!) @ (^[Y0 : a]: 5.56/1.27 ((((('#sk3' @ Y0) & ('#sk2' @ Y0))) => ('#sk1' @ Y0)))))) 5.56/1.27 | (('#sk1' @ X0) = ((('#sk3' @ X0) & ('#sk2' @ X0)))))), 5.56/1.27 inference('simplify boolean subterms', [status(thm)], [zip_derived_cl20])). 5.56/1.27 thf(zip_derived_cl15, plain, 5.56/1.27 (![X2 : a]: 5.56/1.27 ( (((!!) @ (^[Y0 : a]: ((('#sk1' @ Y0) => ('#sk3' @ Y0)))))) 5.56/1.27 | (('#sk1' @ X2) = ((('#sk3' @ X2) & ('#sk2' @ X2)))))), 5.56/1.27 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl9])). 5.56/1.27 thf(zip_derived_cl24, plain, 5.56/1.27 (![X2 : a, X4 : a]: 5.56/1.27 ( ((('#sk1' @ X4) => ('#sk3' @ X4))) 5.56/1.27 | (('#sk1' @ X2) = ((('#sk3' @ X2) & ('#sk2' @ X2)))))), 5.56/1.27 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl15])). 5.56/1.27 thf(zip_derived_cl27, plain, 5.56/1.27 (![X2 : a, X4 : a]: 5.56/1.27 (~ ('#sk1' @ X4) 5.56/1.27 | ('#sk3' @ X4) 5.56/1.27 | (('#sk1' @ X2) = ((('#sk3' @ X2) & ('#sk2' @ X2)))))), 5.56/1.27 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl24])). 5.56/1.27 thf(zip_derived_cl48, plain, 5.56/1.27 (![X2 : a, X4 : a]: 5.56/1.27 ( ('#sk1' @ X2) 5.56/1.27 | ~ ((('#sk3' @ X2) & ('#sk2' @ X2))) 5.56/1.27 | ('#sk3' @ X4) 5.56/1.27 | ~ ('#sk1' @ X4))), 5.56/1.27 inference('eq_elim', [status(thm)], [zip_derived_cl27])). 5.56/1.27 thf(zip_derived_cl57, plain, 5.56/1.27 (![X2 : a]: ( ('#form62' @ X2) | ~ ((('#sk3' @ X2) & ('#sk2' @ X2))))), 5.56/1.27 define([status(thm)])). 5.56/1.27 thf(zip_derived_cl13, plain, 5.56/1.27 (![X2 : a]: 5.56/1.27 ( (((!!) @ (^[Y0 : a]: ((('#sk1' @ Y0) => ('#sk2' @ Y0)))))) 5.56/1.27 | (('#sk1' @ X2) = ((('#sk3' @ X2) & ('#sk2' @ X2)))))), 5.56/1.27 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl9])). 5.56/1.27 thf(zip_derived_cl16, plain, 5.56/1.27 (![X2 : a, X4 : a]: 5.56/1.27 ( ((('#sk1' @ X4) => ('#sk2' @ X4))) 5.56/1.27 | (('#sk1' @ X2) = ((('#sk3' @ X2) & ('#sk2' @ X2)))))), 5.56/1.27 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl13])). 5.56/1.27 thf(zip_derived_cl25, plain, 5.56/1.27 (![X2 : a, X4 : a]: 5.56/1.27 (~ ('#sk1' @ X4) 5.56/1.27 | ('#sk2' @ X4) 5.56/1.27 | (('#sk1' @ X2) = ((('#sk3' @ X2) & ('#sk2' @ X2)))))), 5.56/1.27 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl16])). 5.56/1.27 thf(zip_derived_cl47, plain, 5.56/1.27 (![X2 : a, X4 : a]: 5.56/1.27 (~ ('#sk1' @ X2) 5.56/1.27 | ((('#sk3' @ X2) & ('#sk2' @ X2))) 5.56/1.27 | ('#sk2' @ X4) 5.56/1.27 | ~ ('#sk1' @ X4))), 5.56/1.27 inference('eq_elim', [status(thm)], [zip_derived_cl25])). 5.56/1.27 thf(zip_derived_cl50, plain, 5.56/1.27 (![X2 : a]: (~ ('#form62' @ X2) | ((('#sk3' @ X2) & ('#sk2' @ X2))))), 5.56/1.27 define([status(thm)])). 5.56/1.27 thf(zip_derived_cl392, plain, 5.56/1.27 (![X0 : a]: 5.56/1.27 ( ((('#sk1' @ X0) = ('#form62' @ X0))) 5.56/1.27 | (((!!) @ (^[Y0 : a]: 5.56/1.27 ((((('#sk3' @ Y0) & ('#sk2' @ Y0))) => ('#sk1' @ Y0)))))))), 5.56/1.27 inference('renaming', [status(thm)], 5.56/1.27 [zip_derived_cl391, zip_derived_cl57, zip_derived_cl50])). 5.56/1.27 thf(zip_derived_cl393, plain, 5.56/1.27 (![X0 : a]: 5.56/1.27 ((('#sk1' @ X0) = ('#form62' @ X0)) 5.56/1.27 | (((!!) @ (^[Y0 : a]: 5.56/1.27 ((((('#sk3' @ Y0) & ('#sk2' @ Y0))) => ('#sk1' @ Y0)))))))), 5.56/1.27 inference('simplify nested equalities', [status(thm)], 5.56/1.27 [zip_derived_cl392])). 5.56/1.27 thf(zip_derived_cl394, plain, 5.56/1.27 (![X0 : a, X2 : a]: 5.56/1.27 ( ((((('#sk3' @ X2) & ('#sk2' @ X2))) => ('#sk1' @ X2))) 5.56/1.27 | (('#sk1' @ X0) = ('#form62' @ X0)))), 5.56/1.27 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl393])). 5.56/1.27 thf(zip_derived_cl395, plain, 5.56/1.27 (![X0 : a, X2 : a]: 5.56/1.27 (~ ((('#sk3' @ X2) & ('#sk2' @ X2))) 5.56/1.27 | ('#sk1' @ X2) 5.56/1.27 | (('#sk1' @ X0) = ('#form62' @ X0)))), 5.56/1.27 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl394])). 5.56/1.27 thf(zip_derived_cl57, plain, 5.56/1.27 (![X2 : a]: ( ('#form62' @ X2) | ~ ((('#sk3' @ X2) & ('#sk2' @ X2))))), 5.56/1.27 define([status(thm)])). 5.56/1.27 thf(zip_derived_cl50, plain, 5.56/1.27 (![X2 : a]: (~ ('#form62' @ X2) | ((('#sk3' @ X2) & ('#sk2' @ X2))))), 5.56/1.27 define([status(thm)])). 5.56/1.27 thf(zip_derived_cl396, plain, 5.56/1.27 (![X0 : a, X2 : a]: 5.56/1.27 (~ ('#form62' @ X2) 5.56/1.27 | (('#sk1' @ X0) = ('#form62' @ X0)) 5.56/1.27 | ('#sk1' @ X2))), 5.56/1.27 inference('renaming', [status(thm)], 5.56/1.27 [zip_derived_cl395, zip_derived_cl57, zip_derived_cl50])). 5.56/1.27 thf(zip_derived_cl439, plain, 5.56/1.27 (![X0 : a]: (~ ('#form62' @ X0) | ('#sk1' @ X0) | ~ ('#form62' @ X0))), 5.56/1.27 inference('eq_fact', [status(thm)], [zip_derived_cl396])). 5.56/1.27 thf(zip_derived_cl442, plain, 5.56/1.27 (![X0 : a]: ( ('#sk1' @ X0) | ~ ('#form62' @ X0))), 5.56/1.27 inference('simplify', [status(thm)], [zip_derived_cl439])). 5.56/1.27 thf(zip_derived_cl4, plain, 5.56/1.27 ((((('#sk1') = ((^[Y0 : a]: ((('#sk3' @ Y0) & ('#sk2' @ Y0))))))) 5.56/1.27 != (((((!!) @ (^[Y0 : a]: ((('#sk1' @ Y0) => ('#sk2' @ Y0)))))) & 5.56/1.27 (((!!) @ (^[Y0 : a > $o]: 5.56/1.27 (((((((!!) @ (^[Y1 : a]: 5.56/1.27 (((Y0 @ Y1) => ('#sk2' @ Y1)))))) & 5.56/1.27 (((!!) @ (^[Y1 : a]: 5.56/1.27 (((Y0 @ Y1) => ('#sk3' @ Y1)))))))) => 5.56/1.27 (((!!) @ (^[Y1 : a]: (((Y0 @ Y1) => ('#sk1' @ Y1))))))))))) & 5.56/1.27 (((!!) @ (^[Y0 : a]: ((('#sk1' @ Y0) => ('#sk3' @ Y0)))))))))), 5.56/1.27 inference('simplify nested equalities', [status(thm)], [zip_derived_cl3])). 5.56/1.27 thf(zip_derived_cl6, plain, 5.56/1.27 ((~ ((('#sk1') = ((^[Y0 : a]: ((('#sk3' @ Y0) & ('#sk2' @ Y0))))))) 5.56/1.27 | ~ (((((!!) @ (^[Y0 : a]: ((('#sk1' @ Y0) => ('#sk2' @ Y0)))))) & 5.56/1.27 (((!!) @ (^[Y0 : a > $o]: 5.56/1.27 (((((((!!) @ (^[Y1 : a]: 5.56/1.27 (((Y0 @ Y1) => ('#sk2' @ Y1)))))) & 5.56/1.27 (((!!) @ (^[Y1 : a]: 5.56/1.27 (((Y0 @ Y1) => ('#sk3' @ Y1)))))))) => 5.56/1.27 (((!!) @ (^[Y1 : a]: (((Y0 @ Y1) => ('#sk1' @ Y1))))))))))) & 5.56/1.27 (((!!) @ (^[Y0 : a]: ((('#sk1' @ Y0) => ('#sk3' @ Y0)))))))))), 5.56/1.27 inference('eq_elim', [status(thm)], [zip_derived_cl4])). 5.56/1.27 thf(zip_derived_cl10, plain, 5.56/1.27 (((('#sk1') != ((^[Y0 : a]: ((('#sk3' @ Y0) & ('#sk2' @ Y0)))))) 5.56/1.27 | ~ (((((!!) @ (^[Y0 : a]: ((('#sk1' @ Y0) => ('#sk2' @ Y0)))))) & 5.56/1.27 (((!!) @ (^[Y0 : a > $o]: 5.56/1.27 (((((((!!) @ (^[Y1 : a]: 5.56/1.27 (((Y0 @ Y1) => ('#sk2' @ Y1)))))) & 5.56/1.27 (((!!) @ (^[Y1 : a]: 5.56/1.27 (((Y0 @ Y1) => ('#sk3' @ Y1)))))))) => 5.56/1.27 (((!!) @ (^[Y1 : a]: (((Y0 @ Y1) => ('#sk1' @ Y1))))))))))) & 5.56/1.27 (((!!) @ (^[Y0 : a]: ((('#sk1' @ Y0) => ('#sk3' @ Y0)))))))))), 5.56/1.27 inference('simplify nested equalities', [status(thm)], [zip_derived_cl6])). 5.56/1.27 thf(zip_derived_cl11, plain, 5.56/1.27 (((('#sk1' @ '#_fresh_sk4') 5.56/1.27 != ((^[Y0 : a]: ((('#sk3' @ Y0) & ('#sk2' @ Y0)))) @ '#_fresh_sk4')) 5.56/1.27 | ~ (((((!!) @ (^[Y0 : a]: ((('#sk1' @ Y0) => ('#sk2' @ Y0)))))) & 5.56/1.27 (((!!) @ (^[Y0 : a > $o]: 5.56/1.27 (((((((!!) @ (^[Y1 : a]: 5.56/1.27 (((Y0 @ Y1) => ('#sk2' @ Y1)))))) & 5.56/1.27 (((!!) @ (^[Y1 : a]: 5.56/1.27 (((Y0 @ Y1) => ('#sk3' @ Y1)))))))) => 5.56/1.27 (((!!) @ (^[Y1 : a]: (((Y0 @ Y1) => ('#sk1' @ Y1))))))))))) & 5.56/1.27 (((!!) @ (^[Y0 : a]: ((('#sk1' @ Y0) => ('#sk3' @ Y0)))))))))), 5.56/1.27 inference('neg_ext_simpl', [status(thm)], [zip_derived_cl10])). 5.56/1.27 thf(zip_derived_cl12, plain, 5.56/1.27 (((('#sk1' @ '#_fresh_sk4') 5.56/1.27 != ((('#sk3' @ '#_fresh_sk4') & ('#sk2' @ '#_fresh_sk4')))) 5.56/1.27 | ~ (((((!!) @ (^[Y0 : a]: ((('#sk1' @ Y0) => ('#sk2' @ Y0)))))) & 5.56/1.27 (((!!) @ (^[Y0 : a > $o]: 5.56/1.27 (((((((!!) @ (^[Y1 : a]: 5.56/1.27 (((Y0 @ Y1) => ('#sk2' @ Y1)))))) & 5.56/1.27 (((!!) @ (^[Y1 : a]: 5.56/1.27 (((Y0 @ Y1) => ('#sk3' @ Y1)))))))) => 5.56/1.27 (((!!) @ (^[Y1 : a]: (((Y0 @ Y1) => ('#sk1' @ Y1))))))))))) & 5.56/1.27 (((!!) @ (^[Y0 : a]: ((('#sk1' @ Y0) => ('#sk3' @ Y0)))))))))), 5.56/1.27 inference('ho_norm', [status(thm)], [zip_derived_cl11])). 5.56/1.27 thf(zip_derived_cl57, plain, 5.56/1.27 (![X2 : a]: ( ('#form62' @ X2) | ~ ((('#sk3' @ X2) & ('#sk2' @ X2))))), 5.56/1.27 define([status(thm)])). 5.56/1.27 thf(zip_derived_cl50, plain, 5.56/1.27 (![X2 : a]: (~ ('#form62' @ X2) | ((('#sk3' @ X2) & ('#sk2' @ X2))))), 5.56/1.27 define([status(thm)])). 5.56/1.27 thf(zip_derived_cl122, plain, 5.56/1.27 ((~ ((('#sk1' @ '#_fresh_sk4') = ('#form62' @ '#_fresh_sk4'))) 5.56/1.27 | ~ (((((!!) @ (^[Y0 : a]: ((('#sk1' @ Y0) => ('#sk2' @ Y0)))))) & 5.56/1.27 (((!!) @ (^[Y0 : a > $o]: 5.56/1.27 (((((((!!) @ (^[Y1 : a]: 5.56/1.27 (((Y0 @ Y1) => ('#sk2' @ Y1)))))) & 5.56/1.27 (((!!) @ (^[Y1 : a]: 5.56/1.27 (((Y0 @ Y1) => ('#sk3' @ Y1)))))))) => 5.56/1.27 (((!!) @ (^[Y1 : a]: (((Y0 @ Y1) => ('#sk1' @ Y1))))))))))) & 5.56/1.27 (((!!) @ (^[Y0 : a]: ((('#sk1' @ Y0) => ('#sk3' @ Y0)))))))))), 5.56/1.27 inference('renaming', [status(thm)], 5.56/1.27 [zip_derived_cl12, zip_derived_cl57, zip_derived_cl50])). 5.56/1.27 thf(zip_derived_cl123, plain, 5.56/1.27 (((('#sk1' @ '#_fresh_sk4') != ('#form62' @ '#_fresh_sk4')) 5.56/1.27 | ~ (((((!!) @ (^[Y0 : a]: ((('#sk1' @ Y0) => ('#sk2' @ Y0)))))) & 5.56/1.27 (((!!) @ (^[Y0 : a > $o]: 5.56/1.27 (((((((!!) @ (^[Y1 : a]: 5.56/1.27 (((Y0 @ Y1) => ('#sk2' @ Y1)))))) & 5.56/1.27 (((!!) @ (^[Y1 : a]: 5.56/1.27 (((Y0 @ Y1) => ('#sk3' @ Y1)))))))) => 5.56/1.27 (((!!) @ (^[Y1 : a]: (((Y0 @ Y1) => ('#sk1' @ Y1))))))))))) & 5.56/1.27 (((!!) @ (^[Y0 : a]: ((('#sk1' @ Y0) => ('#sk3' @ Y0)))))))))), 5.56/1.27 inference('simplify nested equalities', [status(thm)], 5.56/1.27 [zip_derived_cl122])). 5.56/1.27 thf(zip_derived_cl124, plain, 5.56/1.27 ((~ (((!!) @ (^[Y0 : a]: ((('#sk1' @ Y0) => ('#sk2' @ Y0)))))) 5.56/1.27 | ~ (((!!) @ (^[Y0 : a > $o]: 5.56/1.27 (((((((!!) @ (^[Y1 : a]: (((Y0 @ Y1) => ('#sk2' @ Y1)))))) & 5.56/1.27 (((!!) @ (^[Y1 : a]: (((Y0 @ Y1) => ('#sk3' @ Y1)))))))) => 5.56/1.27 (((!!) @ (^[Y1 : a]: (((Y0 @ Y1) => ('#sk1' @ Y1))))))))))) 5.56/1.27 | ~ (((!!) @ (^[Y0 : a]: ((('#sk1' @ Y0) => ('#sk3' @ Y0)))))) 5.56/1.27 | (('#sk1' @ '#_fresh_sk4') != ('#form62' @ '#_fresh_sk4')))), 5.56/1.27 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl123])). 5.56/1.27 thf(zip_derived_cl125, plain, 5.56/1.27 ((~ ((('#sk1' @ ('#sk14' @ '#sk1')) => ('#sk2' @ ('#sk14' @ '#sk1')))) 5.56/1.27 | (('#sk1' @ '#_fresh_sk4') != ('#form62' @ '#_fresh_sk4')) 5.56/1.27 | ~ (((!!) @ (^[Y0 : a]: ((('#sk1' @ Y0) => ('#sk3' @ Y0)))))) 5.56/1.27 | ~ (((!!) @ (^[Y0 : a > $o]: 5.56/1.27 (((((((!!) @ (^[Y1 : a]: (((Y0 @ Y1) => ('#sk2' @ Y1)))))) & 5.56/1.27 (((!!) @ (^[Y1 : a]: (((Y0 @ Y1) => ('#sk3' @ Y1)))))))) => 5.56/1.27 (((!!) @ (^[Y1 : a]: (((Y0 @ Y1) => ('#sk1' @ Y1))))))))))))), 5.56/1.27 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl124])). 5.56/1.27 thf(zip_derived_cl127, plain, 5.56/1.27 ((~ ('#sk2' @ ('#sk14' @ '#sk1')) 5.56/1.27 | ~ (((!!) @ (^[Y0 : a > $o]: 5.56/1.27 (((((((!!) @ (^[Y1 : a]: (((Y0 @ Y1) => ('#sk2' @ Y1)))))) & 5.56/1.27 (((!!) @ (^[Y1 : a]: (((Y0 @ Y1) => ('#sk3' @ Y1)))))))) => 5.56/1.27 (((!!) @ (^[Y1 : a]: (((Y0 @ Y1) => ('#sk1' @ Y1))))))))))) 5.56/1.27 | ~ (((!!) @ (^[Y0 : a]: ((('#sk1' @ Y0) => ('#sk3' @ Y0)))))) 5.56/1.27 | (('#sk1' @ '#_fresh_sk4') != ('#form62' @ '#_fresh_sk4')))), 5.56/1.27 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl125])). 5.56/1.27 thf(zip_derived_cl130, plain, 5.56/1.27 ((~ (((((((!!) @ (^[Y0 : a]: ((('#sk109' @ Y0) => ('#sk2' @ Y0)))))) & 5.56/1.27 (((!!) @ (^[Y0 : a]: ((('#sk109' @ Y0) => ('#sk3' @ Y0)))))))) => 5.56/1.27 (((!!) @ (^[Y0 : a]: ((('#sk109' @ Y0) => ('#sk1' @ Y0)))))))) 5.56/1.27 | (('#sk1' @ '#_fresh_sk4') != ('#form62' @ '#_fresh_sk4')) 5.56/1.27 | ~ (((!!) @ (^[Y0 : a]: ((('#sk1' @ Y0) => ('#sk3' @ Y0)))))) 5.56/1.27 | ~ ('#sk2' @ ('#sk14' @ '#sk1')))), 5.56/1.27 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl127])). 5.56/1.27 thf(zip_derived_cl126, plain, 5.56/1.27 (( ('#sk1' @ ('#sk14' @ '#sk1')) 5.56/1.27 | ~ (((!!) @ (^[Y0 : a > $o]: 5.56/1.27 (((((((!!) @ (^[Y1 : a]: (((Y0 @ Y1) => ('#sk2' @ Y1)))))) & 5.56/1.27 (((!!) @ (^[Y1 : a]: (((Y0 @ Y1) => ('#sk3' @ Y1)))))))) => 5.56/1.27 (((!!) @ (^[Y1 : a]: (((Y0 @ Y1) => ('#sk1' @ Y1))))))))))) 5.56/1.27 | ~ (((!!) @ (^[Y0 : a]: ((('#sk1' @ Y0) => ('#sk3' @ Y0)))))) 5.56/1.27 | (('#sk1' @ '#_fresh_sk4') != ('#form62' @ '#_fresh_sk4')))), 5.56/1.27 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl125])). 5.56/1.27 thf(zip_derived_cl129, plain, 5.56/1.27 ((~ (((((((!!) @ (^[Y0 : a]: ((('#sk109' @ Y0) => ('#sk2' @ Y0)))))) & 5.56/1.27 (((!!) @ (^[Y0 : a]: ((('#sk109' @ Y0) => ('#sk3' @ Y0)))))))) => 5.56/1.27 (((!!) @ (^[Y0 : a]: ((('#sk109' @ Y0) => ('#sk1' @ Y0)))))))) 5.56/1.27 | (('#sk1' @ '#_fresh_sk4') != ('#form62' @ '#_fresh_sk4')) 5.56/1.27 | ~ (((!!) @ (^[Y0 : a]: ((('#sk1' @ Y0) => ('#sk3' @ Y0)))))) 5.56/1.27 | ('#sk1' @ ('#sk14' @ '#sk1')))), 5.56/1.27 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl126])). 5.56/1.27 thf(zip_derived_cl131, plain, 5.56/1.27 (( ('#form110') 5.56/1.27 | ~ (((((((!!) @ (^[Y0 : a]: ((('#sk109' @ Y0) => ('#sk2' @ Y0)))))) & 5.56/1.27 (((!!) @ (^[Y0 : a]: ((('#sk109' @ Y0) => ('#sk3' @ Y0)))))))) => 5.56/1.27 (((!!) @ (^[Y0 : a]: ((('#sk109' @ Y0) => ('#sk1' @ Y0)))))))))), 5.56/1.27 define([status(thm)])). 5.56/1.27 thf(zip_derived_cl135, plain, 5.56/1.27 ((~ ('#form110') 5.56/1.27 | ~ ('#sk2' @ ('#sk14' @ '#sk1')) 5.56/1.27 | ~ (((!!) @ (^[Y0 : a]: ((('#sk1' @ Y0) => ('#sk3' @ Y0)))))) 5.56/1.27 | (('#sk1' @ '#_fresh_sk4') != ('#form62' @ '#_fresh_sk4')))), 5.56/1.27 inference('renaming', [status(thm)], 5.56/1.27 [zip_derived_cl130, zip_derived_cl131])). 5.56/1.27 thf(zip_derived_cl140, plain, 5.56/1.27 ((~ ((('#sk1' @ ('#sk22' @ '#sk1')) => ('#sk3' @ ('#sk22' @ '#sk1')))) 5.56/1.27 | (('#sk1' @ '#_fresh_sk4') != ('#form62' @ '#_fresh_sk4')) 5.56/1.27 | ~ ('#sk2' @ ('#sk14' @ '#sk1')) 5.56/1.27 | ~ ('#form110'))), 5.56/1.27 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl135])). 5.56/1.27 thf(zip_derived_cl148, plain, 5.56/1.27 ((~ ('#sk3' @ ('#sk22' @ '#sk1')) 5.56/1.27 | ~ ('#form110') 5.56/1.27 | ~ ('#sk2' @ ('#sk14' @ '#sk1')) 5.56/1.27 | (('#sk1' @ '#_fresh_sk4') != ('#form62' @ '#_fresh_sk4')))), 5.56/1.27 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl140])). 5.56/1.27 thf(zip_derived_cl396, plain, 5.56/1.27 (![X0 : a, X2 : a]: 5.56/1.27 (~ ('#form62' @ X2) 5.56/1.27 | (('#sk1' @ X0) = ('#form62' @ X0)) 5.56/1.27 | ('#sk1' @ X2))), 5.56/1.27 inference('renaming', [status(thm)], 5.56/1.27 [zip_derived_cl395, zip_derived_cl57, zip_derived_cl50])). 5.56/1.27 thf(zip_derived_cl131, plain, 5.56/1.27 (( ('#form110') 5.56/1.27 | ~ (((((((!!) @ (^[Y0 : a]: ((('#sk109' @ Y0) => ('#sk2' @ Y0)))))) & 5.56/1.27 (((!!) @ (^[Y0 : a]: ((('#sk109' @ Y0) => ('#sk3' @ Y0)))))))) => 5.56/1.27 (((!!) @ (^[Y0 : a]: ((('#sk109' @ Y0) => ('#sk1' @ Y0)))))))))), 5.56/1.27 define([status(thm)])). 5.56/1.27 thf(zip_derived_cl133, plain, 5.56/1.27 ((~ (((!!) @ (^[Y0 : a]: ((('#sk109' @ Y0) => ('#sk1' @ Y0)))))) 5.56/1.27 | ('#form110'))), 5.56/1.27 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl131])). 5.56/1.27 thf(zip_derived_cl139, plain, 5.56/1.27 ((~ ((('#sk109' @ '#sk111') => ('#sk1' @ '#sk111'))) | ('#form110'))), 5.56/1.27 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl133])). 5.56/1.27 thf(zip_derived_cl145, plain, (( ('#sk109' @ '#sk111') | ('#form110'))), 5.56/1.27 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl139])). 5.56/1.27 thf(zip_derived_cl132, plain, 5.56/1.27 (( (((((!!) @ (^[Y0 : a]: ((('#sk109' @ Y0) => ('#sk2' @ Y0)))))) & 5.56/1.27 (((!!) @ (^[Y0 : a]: ((('#sk109' @ Y0) => ('#sk3' @ Y0)))))))) 5.56/1.27 | ('#form110'))), 5.56/1.27 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl131])). 5.56/1.27 thf(zip_derived_cl138, plain, 5.56/1.27 (( (((!!) @ (^[Y0 : a]: ((('#sk109' @ Y0) => ('#sk3' @ Y0)))))) 5.56/1.27 | ('#form110'))), 5.56/1.27 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl132])). 5.56/1.27 thf(zip_derived_cl144, plain, 5.56/1.27 (![X2 : a]: ( ((('#sk109' @ X2) => ('#sk3' @ X2))) | ('#form110'))), 5.56/1.27 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl138])). 5.56/1.27 thf(zip_derived_cl150, plain, 5.56/1.27 (![X2 : a]: (~ ('#sk109' @ X2) | ('#sk3' @ X2) | ('#form110'))), 5.56/1.27 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl144])). 5.56/1.27 thf(zip_derived_cl161, plain, 5.56/1.27 (( ('#form110') | ('#form110') | ('#sk3' @ '#sk111'))), 5.56/1.27 inference('sup-', [status(thm)], [zip_derived_cl145, zip_derived_cl150])). 5.56/1.27 thf(zip_derived_cl163, plain, (( ('#sk3' @ '#sk111') | ('#form110'))), 5.56/1.27 inference('simplify', [status(thm)], [zip_derived_cl161])). 5.56/1.27 thf(zip_derived_cl57, plain, 5.56/1.27 (![X2 : a]: ( ('#form62' @ X2) | ~ ((('#sk3' @ X2) & ('#sk2' @ X2))))), 5.56/1.27 define([status(thm)])). 5.56/1.27 thf(zip_derived_cl58, plain, 5.56/1.27 (![X2 : a]: (~ ('#sk3' @ X2) | ~ ('#sk2' @ X2) | ('#form62' @ X2))), 5.56/1.27 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl57])). 5.56/1.27 thf(zip_derived_cl191, plain, 5.56/1.27 (( ('#form110') | ('#form62' @ '#sk111') | ~ ('#sk2' @ '#sk111'))), 5.56/1.27 inference('sup-', [status(thm)], [zip_derived_cl163, zip_derived_cl58])). 5.56/1.27 thf(zip_derived_cl145, plain, (( ('#sk109' @ '#sk111') | ('#form110'))), 5.56/1.27 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl139])). 5.56/1.27 thf(zip_derived_cl137, plain, 5.56/1.27 (( (((!!) @ (^[Y0 : a]: ((('#sk109' @ Y0) => ('#sk2' @ Y0)))))) 5.56/1.27 | ('#form110'))), 5.56/1.27 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl132])). 5.56/1.27 thf(zip_derived_cl143, plain, 5.56/1.27 (![X2 : a]: ( ((('#sk109' @ X2) => ('#sk2' @ X2))) | ('#form110'))), 5.56/1.27 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl137])). 5.56/1.27 thf(zip_derived_cl149, plain, 5.56/1.27 (![X2 : a]: (~ ('#sk109' @ X2) | ('#sk2' @ X2) | ('#form110'))), 5.56/1.27 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl143])). 5.56/1.27 thf(zip_derived_cl157, plain, 5.56/1.27 (( ('#form110') | ('#form110') | ('#sk2' @ '#sk111'))), 5.56/1.27 inference('sup-', [status(thm)], [zip_derived_cl145, zip_derived_cl149])). 5.56/1.28 thf(zip_derived_cl159, plain, (( ('#sk2' @ '#sk111') | ('#form110'))), 5.56/1.28 inference('simplify', [status(thm)], [zip_derived_cl157])). 5.56/1.28 thf(zip_derived_cl197, plain, (( ('#form62' @ '#sk111') | ('#form110'))), 5.56/1.28 inference('clc', [status(thm)], [zip_derived_cl191, zip_derived_cl159])). 5.56/1.28 thf(zip_derived_cl423, plain, 5.56/1.28 (![X0 : a]: 5.56/1.28 ( ('#sk1' @ '#sk111') 5.56/1.28 | (('#sk1' @ X0) = ('#form62' @ X0)) 5.56/1.28 | ('#form110'))), 5.56/1.28 inference('sup+', [status(thm)], [zip_derived_cl396, zip_derived_cl197])). 5.56/1.28 thf(zip_derived_cl146, plain, ((~ ('#sk1' @ '#sk111') | ('#form110'))), 5.56/1.28 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl139])). 5.56/1.28 thf(zip_derived_cl499, plain, 5.56/1.28 (![X0 : a]: ( ('#form110') | (('#sk1' @ X0) = ('#form62' @ X0)))), 5.56/1.28 inference('clc', [status(thm)], [zip_derived_cl423, zip_derived_cl146])). 5.56/1.28 thf(zip_derived_cl197, plain, (( ('#form62' @ '#sk111') | ('#form110'))), 5.56/1.28 inference('clc', [status(thm)], [zip_derived_cl191, zip_derived_cl159])). 5.56/1.28 thf(zip_derived_cl513, plain, 5.56/1.28 (( ('#sk1' @ '#sk111') | ('#form110') | ('#form110'))), 5.56/1.28 inference('sup+', [status(thm)], [zip_derived_cl499, zip_derived_cl197])). 5.56/1.28 thf(zip_derived_cl554, plain, (( ('#form110') | ('#sk1' @ '#sk111'))), 5.56/1.28 inference('simplify', [status(thm)], [zip_derived_cl513])). 5.56/1.28 thf(zip_derived_cl146, plain, ((~ ('#sk1' @ '#sk111') | ('#form110'))), 5.56/1.28 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl139])). 5.56/1.28 thf(zip_derived_cl562, plain, ( ('#form110')), 5.56/1.28 inference('clc', [status(thm)], [zip_derived_cl554, zip_derived_cl146])). 5.56/1.28 thf(zip_derived_cl600, plain, 5.56/1.28 ((~ ('#sk3' @ ('#sk22' @ '#sk1')) 5.56/1.28 | ~ ('#sk2' @ ('#sk14' @ '#sk1')) 5.56/1.28 | (('#sk1' @ '#_fresh_sk4') != ('#form62' @ '#_fresh_sk4')))), 5.56/1.28 inference('demod', [status(thm)], [zip_derived_cl148, zip_derived_cl562])). 5.56/1.28 thf(zip_derived_cl605, plain, 5.56/1.28 ((~ ('#sk1' @ '#_fresh_sk4') 5.56/1.28 | ~ ('#form62' @ '#_fresh_sk4') 5.56/1.28 | ~ ('#sk2' @ ('#sk14' @ '#sk1')) 5.56/1.28 | ~ ('#sk3' @ ('#sk22' @ '#sk1')))), 5.56/1.28 inference('eq_elim', [status(thm)], [zip_derived_cl600])). 5.56/1.28 thf(zip_derived_cl758, plain, 5.56/1.28 ((~ ('#form62' @ '#_fresh_sk4') 5.56/1.28 | ~ ('#sk3' @ ('#sk22' @ '#sk1')) 5.56/1.28 | ~ ('#sk2' @ ('#sk14' @ '#sk1')) 5.56/1.28 | ~ ('#form62' @ '#_fresh_sk4'))), 5.56/1.28 inference('sup-', [status(thm)], [zip_derived_cl442, zip_derived_cl605])). 5.56/1.28 thf(zip_derived_cl772, plain, 5.56/1.28 ((~ ('#sk2' @ ('#sk14' @ '#sk1')) 5.56/1.28 | ~ ('#sk3' @ ('#sk22' @ '#sk1')) 5.56/1.28 | ~ ('#form62' @ '#_fresh_sk4'))), 5.56/1.28 inference('simplify', [status(thm)], [zip_derived_cl758])). 5.56/1.28 thf(zip_derived_cl129, plain, 5.56/1.28 ((~ (((((((!!) @ (^[Y0 : a]: ((('#sk109' @ Y0) => ('#sk2' @ Y0)))))) & 5.56/1.28 (((!!) @ (^[Y0 : a]: ((('#sk109' @ Y0) => ('#sk3' @ Y0)))))))) => 5.56/1.28 (((!!) @ (^[Y0 : a]: ((('#sk109' @ Y0) => ('#sk1' @ Y0)))))))) 5.56/1.28 | (('#sk1' @ '#_fresh_sk4') != ('#form62' @ '#_fresh_sk4')) 5.56/1.28 | ~ (((!!) @ (^[Y0 : a]: ((('#sk1' @ Y0) => ('#sk3' @ Y0)))))) 5.56/1.28 | ('#sk1' @ ('#sk14' @ '#sk1')))), 5.56/1.28 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl126])). 5.56/1.28 thf(zip_derived_cl131, plain, 5.56/1.28 (( ('#form110') 5.56/1.28 | ~ (((((((!!) @ (^[Y0 : a]: ((('#sk109' @ Y0) => ('#sk2' @ Y0)))))) & 5.56/1.28 (((!!) @ (^[Y0 : a]: ((('#sk109' @ Y0) => ('#sk3' @ Y0)))))))) => 5.56/1.28 (((!!) @ (^[Y0 : a]: ((('#sk109' @ Y0) => ('#sk1' @ Y0)))))))))), 5.56/1.28 define([status(thm)])). 5.56/1.28 thf(zip_derived_cl134, plain, 5.56/1.28 ((~ ('#form110') 5.56/1.28 | ('#sk1' @ ('#sk14' @ '#sk1')) 5.56/1.28 | ~ (((!!) @ (^[Y0 : a]: ((('#sk1' @ Y0) => ('#sk3' @ Y0)))))) 5.56/1.28 | (('#sk1' @ '#_fresh_sk4') != ('#form62' @ '#_fresh_sk4')))), 5.56/1.28 inference('renaming', [status(thm)], 5.56/1.28 [zip_derived_cl129, zip_derived_cl131])). 5.56/1.28 thf(zip_derived_cl136, plain, 5.56/1.28 ((~ ((('#sk1' @ ('#sk22' @ '#sk1')) => ('#sk3' @ ('#sk22' @ '#sk1')))) 5.56/1.28 | (('#sk1' @ '#_fresh_sk4') != ('#form62' @ '#_fresh_sk4')) 5.56/1.28 | ('#sk1' @ ('#sk14' @ '#sk1')) 5.56/1.28 | ~ ('#form110'))), 5.56/1.28 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl134])). 5.56/1.28 thf(zip_derived_cl141, plain, 5.56/1.28 (( ('#sk1' @ ('#sk22' @ '#sk1')) 5.56/1.28 | ~ ('#form110') 5.56/1.28 | ('#sk1' @ ('#sk14' @ '#sk1')) 5.56/1.28 | (('#sk1' @ '#_fresh_sk4') != ('#form62' @ '#_fresh_sk4')))), 5.56/1.28 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl136])). 5.56/1.28 thf(zip_derived_cl151, plain, 5.56/1.28 (( ('#sk1' @ '#_fresh_sk4') 5.56/1.28 | ('#form62' @ '#_fresh_sk4') 5.56/1.28 | ('#sk1' @ ('#sk14' @ '#sk1')) 5.56/1.28 | ~ ('#form110') 5.56/1.28 | ('#sk1' @ ('#sk22' @ '#sk1')))), 5.56/1.28 inference('eq_elim', [status(thm)], [zip_derived_cl141])). 5.56/1.28 thf(zip_derived_cl562, plain, ( ('#form110')), 5.56/1.28 inference('clc', [status(thm)], [zip_derived_cl554, zip_derived_cl146])). 5.56/1.28 thf(zip_derived_cl564, plain, 5.56/1.28 (( ('#sk1' @ '#_fresh_sk4') 5.56/1.28 | ('#form62' @ '#_fresh_sk4') 5.56/1.28 | ('#sk1' @ ('#sk14' @ '#sk1')) 5.56/1.28 | ('#sk1' @ ('#sk22' @ '#sk1')))), 5.56/1.28 inference('demod', [status(thm)], [zip_derived_cl151, zip_derived_cl562])). 5.56/1.28 thf(zip_derived_cl442, plain, 5.56/1.28 (![X0 : a]: ( ('#sk1' @ X0) | ~ ('#form62' @ X0))), 5.56/1.28 inference('simplify', [status(thm)], [zip_derived_cl439])). 5.56/1.28 thf(zip_derived_cl883, plain, 5.56/1.28 (( ('#sk1' @ ('#sk22' @ '#sk1')) 5.56/1.28 | ('#sk1' @ ('#sk14' @ '#sk1')) 5.56/1.28 | ('#sk1' @ '#_fresh_sk4'))), 5.56/1.28 inference('clc', [status(thm)], [zip_derived_cl564, zip_derived_cl442])). 5.56/1.28 thf(zip_derived_cl27, plain, 5.56/1.28 (![X2 : a, X4 : a]: 5.56/1.28 (~ ('#sk1' @ X4) 5.56/1.28 | ('#sk3' @ X4) 5.56/1.28 | (('#sk1' @ X2) = ((('#sk3' @ X2) & ('#sk2' @ X2)))))), 5.56/1.28 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl24])). 5.56/1.28 thf(zip_derived_cl49, plain, 5.56/1.28 (![X2 : a, X4 : a]: 5.56/1.28 (~ ('#sk1' @ X2) 5.56/1.28 | ((('#sk3' @ X2) & ('#sk2' @ X2))) 5.56/1.28 | ('#sk3' @ X4) 5.56/1.28 | ~ ('#sk1' @ X4))), 5.56/1.28 inference('eq_elim', [status(thm)], [zip_derived_cl27])). 5.56/1.28 thf(zip_derived_cl57, plain, 5.56/1.28 (![X2 : a]: ( ('#form62' @ X2) | ~ ((('#sk3' @ X2) & ('#sk2' @ X2))))), 5.56/1.28 define([status(thm)])). 5.56/1.28 thf(zip_derived_cl50, plain, 5.56/1.28 (![X2 : a]: (~ ('#form62' @ X2) | ((('#sk3' @ X2) & ('#sk2' @ X2))))), 5.56/1.28 define([status(thm)])). 5.56/1.28 thf(zip_derived_cl64, plain, 5.56/1.28 (![X2 : a, X4 : a]: 5.56/1.28 ( ('#form62' @ X2) 5.56/1.28 | ~ ('#sk1' @ X4) 5.56/1.28 | ('#sk3' @ X4) 5.56/1.28 | ~ ('#sk1' @ X2))), 5.56/1.28 inference('renaming', [status(thm)], 5.56/1.28 [zip_derived_cl49, zip_derived_cl57, zip_derived_cl50])). 5.56/1.28 thf(zip_derived_cl65, plain, 5.56/1.28 (![X0 : a]: (~ ('#sk1' @ X0) | ('#sk3' @ X0) | ('#form62' @ X0))), 5.56/1.28 inference('eq_fact', [status(thm)], [zip_derived_cl64])). 5.56/1.28 thf(zip_derived_cl50, plain, 5.56/1.28 (![X2 : a]: (~ ('#form62' @ X2) | ((('#sk3' @ X2) & ('#sk2' @ X2))))), 5.56/1.28 define([status(thm)])). 5.56/1.28 thf(zip_derived_cl51, plain, 5.56/1.28 (![X2 : a]: ( ('#sk3' @ X2) | ~ ('#form62' @ X2))), 5.56/1.28 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl50])). 5.56/1.28 thf(zip_derived_cl67, plain, (![X0 : a]: ( ('#sk3' @ X0) | ~ ('#sk1' @ X0))), 5.56/1.28 inference('clc', [status(thm)], [zip_derived_cl65, zip_derived_cl51])). 5.56/1.28 thf(zip_derived_cl888, plain, 5.56/1.28 (( ('#sk1' @ '#_fresh_sk4') 5.56/1.28 | ('#sk1' @ ('#sk14' @ '#sk1')) 5.56/1.28 | ('#sk3' @ ('#sk22' @ '#sk1')))), 5.56/1.28 inference('sup-', [status(thm)], [zip_derived_cl883, zip_derived_cl67])). 5.56/1.28 thf(zip_derived_cl142, plain, 5.56/1.28 ((~ ('#sk3' @ ('#sk22' @ '#sk1')) 5.56/1.28 | ~ ('#form110') 5.56/1.28 | ('#sk1' @ ('#sk14' @ '#sk1')) 5.56/1.28 | (('#sk1' @ '#_fresh_sk4') != ('#form62' @ '#_fresh_sk4')))), 5.56/1.28 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl136])). 5.56/1.28 thf(zip_derived_cl562, plain, ( ('#form110')), 5.56/1.28 inference('clc', [status(thm)], [zip_derived_cl554, zip_derived_cl146])). 5.56/1.28 thf(zip_derived_cl824, plain, 5.56/1.28 ((~ ('#sk3' @ ('#sk22' @ '#sk1')) 5.56/1.28 | ('#sk1' @ ('#sk14' @ '#sk1')) 5.56/1.28 | (('#sk1' @ '#_fresh_sk4') != ('#form62' @ '#_fresh_sk4')))), 5.56/1.28 inference('demod', [status(thm)], [zip_derived_cl142, zip_derived_cl562])). 5.56/1.28 thf(zip_derived_cl938, plain, 5.56/1.28 (( ('#sk1' @ ('#sk14' @ '#sk1')) 5.56/1.28 | ('#sk1' @ '#_fresh_sk4') 5.56/1.28 | (('#sk1' @ '#_fresh_sk4') != ('#form62' @ '#_fresh_sk4')) 5.56/1.28 | ('#sk1' @ ('#sk14' @ '#sk1')))), 5.56/1.28 inference('sup-', [status(thm)], [zip_derived_cl888, zip_derived_cl824])). 5.56/1.28 thf(zip_derived_cl956, plain, 5.56/1.28 (((('#sk1' @ '#_fresh_sk4') != ('#form62' @ '#_fresh_sk4')) 5.56/1.28 | ('#sk1' @ '#_fresh_sk4') 5.56/1.28 | ('#sk1' @ ('#sk14' @ '#sk1')))), 5.56/1.28 inference('simplify', [status(thm)], [zip_derived_cl938])). 5.56/1.28 thf(zip_derived_cl957, plain, 5.56/1.28 (( ('#form62' @ '#_fresh_sk4') 5.56/1.28 | ('#sk1' @ '#_fresh_sk4') 5.56/1.28 | ('#sk1' @ ('#sk14' @ '#sk1')))), 5.56/1.28 inference('local_rewriting', [status(thm)], [zip_derived_cl956])). 5.56/1.28 thf(zip_derived_cl442, plain, 5.56/1.28 (![X0 : a]: ( ('#sk1' @ X0) | ~ ('#form62' @ X0))), 5.56/1.28 inference('simplify', [status(thm)], [zip_derived_cl439])). 5.56/1.28 thf(zip_derived_cl967, plain, 5.56/1.28 (( ('#sk1' @ ('#sk14' @ '#sk1')) | ('#sk1' @ '#_fresh_sk4'))), 5.56/1.28 inference('clc', [status(thm)], [zip_derived_cl957, zip_derived_cl442])). 5.56/1.28 thf(zip_derived_cl47, plain, 5.56/1.28 (![X2 : a, X4 : a]: 5.56/1.28 (~ ('#sk1' @ X2) 5.56/1.28 | ((('#sk3' @ X2) & ('#sk2' @ X2))) 5.56/1.28 | ('#sk2' @ X4) 5.56/1.28 | ~ ('#sk1' @ X4))), 5.56/1.28 inference('eq_elim', [status(thm)], [zip_derived_cl25])). 5.56/1.28 thf(zip_derived_cl50, plain, 5.56/1.28 (![X2 : a]: (~ ('#form62' @ X2) | ((('#sk3' @ X2) & ('#sk2' @ X2))))), 5.56/1.28 define([status(thm)])). 5.56/1.28 thf(zip_derived_cl53, plain, 5.56/1.28 (![X2 : a, X4 : a]: 5.56/1.28 ( ('#form62' @ X2) 5.56/1.28 | ~ ('#sk1' @ X4) 5.56/1.28 | ('#sk2' @ X4) 5.56/1.28 | ~ ('#sk1' @ X2))), 5.56/1.28 inference('renaming', [status(thm)], [zip_derived_cl47, zip_derived_cl50])). 5.56/1.28 thf(zip_derived_cl54, plain, 5.56/1.28 (![X0 : a]: (~ ('#sk1' @ X0) | ('#sk2' @ X0) | ('#form62' @ X0))), 5.56/1.28 inference('eq_fact', [status(thm)], [zip_derived_cl53])). 5.56/1.28 thf(zip_derived_cl52, plain, 5.56/1.28 (![X2 : a]: ( ('#sk2' @ X2) | ~ ('#form62' @ X2))), 5.56/1.28 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl50])). 5.56/1.28 thf(zip_derived_cl56, plain, (![X0 : a]: ( ('#sk2' @ X0) | ~ ('#sk1' @ X0))), 5.56/1.28 inference('clc', [status(thm)], [zip_derived_cl54, zip_derived_cl52])). 5.56/1.28 thf(zip_derived_cl969, plain, 5.56/1.28 (( ('#sk1' @ '#_fresh_sk4') | ('#sk2' @ ('#sk14' @ '#sk1')))), 5.56/1.28 inference('sup-', [status(thm)], [zip_derived_cl967, zip_derived_cl56])). 5.56/1.28 thf(zip_derived_cl147, plain, 5.56/1.28 (( ('#sk1' @ ('#sk22' @ '#sk1')) 5.56/1.28 | ~ ('#form110') 5.56/1.28 | ~ ('#sk2' @ ('#sk14' @ '#sk1')) 5.56/1.28 | (('#sk1' @ '#_fresh_sk4') != ('#form62' @ '#_fresh_sk4')))), 5.56/1.28 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl140])). 5.56/1.28 thf(zip_derived_cl562, plain, ( ('#form110')), 5.56/1.28 inference('clc', [status(thm)], [zip_derived_cl554, zip_derived_cl146])). 5.56/1.28 thf(zip_derived_cl1107, plain, 5.56/1.28 (( ('#sk1' @ ('#sk22' @ '#sk1')) 5.56/1.28 | ~ ('#sk2' @ ('#sk14' @ '#sk1')) 5.56/1.28 | (('#sk1' @ '#_fresh_sk4') != ('#form62' @ '#_fresh_sk4')))), 5.56/1.28 inference('demod', [status(thm)], [zip_derived_cl147, zip_derived_cl562])). 5.56/1.28 thf(zip_derived_cl1108, plain, 5.56/1.28 (( ('#sk1' @ '#_fresh_sk4') 5.56/1.28 | (('#sk1' @ '#_fresh_sk4') != ('#form62' @ '#_fresh_sk4')) 5.56/1.28 | ('#sk1' @ ('#sk22' @ '#sk1')))), 5.56/1.28 inference('sup-', [status(thm)], [zip_derived_cl969, zip_derived_cl1107])). 5.56/1.28 thf(zip_derived_cl1114, plain, 5.56/1.28 (( ('#sk1' @ '#_fresh_sk4') 5.56/1.28 | ('#form62' @ '#_fresh_sk4') 5.56/1.28 | ('#sk1' @ ('#sk22' @ '#sk1')))), 5.56/1.28 inference('local_rewriting', [status(thm)], [zip_derived_cl1108])). 5.56/1.28 thf(zip_derived_cl442, plain, 5.56/1.28 (![X0 : a]: ( ('#sk1' @ X0) | ~ ('#form62' @ X0))), 5.56/1.28 inference('simplify', [status(thm)], [zip_derived_cl439])). 5.56/1.28 thf(zip_derived_cl1162, plain, 5.56/1.28 (( ('#sk1' @ ('#sk22' @ '#sk1')) | ('#sk1' @ '#_fresh_sk4'))), 5.56/1.28 inference('clc', [status(thm)], [zip_derived_cl1114, zip_derived_cl442])). 5.56/1.28 thf(zip_derived_cl67, plain, (![X0 : a]: ( ('#sk3' @ X0) | ~ ('#sk1' @ X0))), 5.56/1.28 inference('clc', [status(thm)], [zip_derived_cl65, zip_derived_cl51])). 5.56/1.28 thf(zip_derived_cl1165, plain, 5.56/1.28 (( ('#sk1' @ '#_fresh_sk4') | ('#sk3' @ ('#sk22' @ '#sk1')))), 5.56/1.28 inference('sup-', [status(thm)], [zip_derived_cl1162, zip_derived_cl67])). 5.56/1.28 thf(zip_derived_cl600, plain, 5.56/1.28 ((~ ('#sk3' @ ('#sk22' @ '#sk1')) 5.56/1.28 | ~ ('#sk2' @ ('#sk14' @ '#sk1')) 5.56/1.28 | (('#sk1' @ '#_fresh_sk4') != ('#form62' @ '#_fresh_sk4')))), 5.56/1.28 inference('demod', [status(thm)], [zip_derived_cl148, zip_derived_cl562])). 5.56/1.28 thf(zip_derived_cl1195, plain, 5.56/1.28 (( ('#sk1' @ '#_fresh_sk4') 5.56/1.28 | (('#sk1' @ '#_fresh_sk4') != ('#form62' @ '#_fresh_sk4')) 5.56/1.28 | ~ ('#sk2' @ ('#sk14' @ '#sk1')))), 5.56/1.28 inference('sup-', [status(thm)], [zip_derived_cl1165, zip_derived_cl600])). 5.56/1.28 thf(zip_derived_cl1208, plain, 5.56/1.28 (( ('#sk1' @ '#_fresh_sk4') 5.56/1.28 | ('#form62' @ '#_fresh_sk4') 5.56/1.28 | ~ ('#sk2' @ ('#sk14' @ '#sk1')))), 5.56/1.28 inference('local_rewriting', [status(thm)], [zip_derived_cl1195])). 5.56/1.28 thf(zip_derived_cl442, plain, 5.56/1.28 (![X0 : a]: ( ('#sk1' @ X0) | ~ ('#form62' @ X0))), 5.56/1.28 inference('simplify', [status(thm)], [zip_derived_cl439])). 5.56/1.28 thf(zip_derived_cl1236, plain, 5.56/1.28 ((~ ('#sk2' @ ('#sk14' @ '#sk1')) | ('#sk1' @ '#_fresh_sk4'))), 5.56/1.28 inference('clc', [status(thm)], [zip_derived_cl1208, zip_derived_cl442])). 5.56/1.28 thf(zip_derived_cl969, plain, 5.56/1.28 (( ('#sk1' @ '#_fresh_sk4') | ('#sk2' @ ('#sk14' @ '#sk1')))), 5.56/1.28 inference('sup-', [status(thm)], [zip_derived_cl967, zip_derived_cl56])). 5.56/1.28 thf(zip_derived_cl1237, plain, ( ('#sk1' @ '#_fresh_sk4')), 5.56/1.28 inference('clc', [status(thm)], [zip_derived_cl1236, zip_derived_cl969])). 5.56/1.28 thf(zip_derived_cl67, plain, (![X0 : a]: ( ('#sk3' @ X0) | ~ ('#sk1' @ X0))), 5.56/1.28 inference('clc', [status(thm)], [zip_derived_cl65, zip_derived_cl51])). 5.56/1.28 thf(zip_derived_cl1247, plain, ( ('#sk3' @ '#_fresh_sk4')), 5.56/1.28 inference('sup-', [status(thm)], [zip_derived_cl1237, zip_derived_cl67])). 5.56/1.28 thf(zip_derived_cl58, plain, 5.56/1.28 (![X2 : a]: (~ ('#sk3' @ X2) | ~ ('#sk2' @ X2) | ('#form62' @ X2))), 5.56/1.28 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl57])). 5.56/1.28 thf(zip_derived_cl1269, plain, 5.56/1.28 (( ('#form62' @ '#_fresh_sk4') | ~ ('#sk2' @ '#_fresh_sk4'))), 5.56/1.28 inference('sup-', [status(thm)], [zip_derived_cl1247, zip_derived_cl58])). 5.56/1.28 thf(zip_derived_cl1237, plain, ( ('#sk1' @ '#_fresh_sk4')), 5.56/1.28 inference('clc', [status(thm)], [zip_derived_cl1236, zip_derived_cl969])). 5.56/1.28 thf(zip_derived_cl56, plain, (![X0 : a]: ( ('#sk2' @ X0) | ~ ('#sk1' @ X0))), 5.56/1.28 inference('clc', [status(thm)], [zip_derived_cl54, zip_derived_cl52])). 5.56/1.28 thf(zip_derived_cl1248, plain, ( ('#sk2' @ '#_fresh_sk4')), 5.56/1.28 inference('sup-', [status(thm)], [zip_derived_cl1237, zip_derived_cl56])). 5.56/1.28 thf(zip_derived_cl1314, plain, ( ('#form62' @ '#_fresh_sk4')), 5.56/1.28 inference('demod', [status(thm)], 5.56/1.28 [zip_derived_cl1269, zip_derived_cl1248])). 5.56/1.28 thf(zip_derived_cl1316, plain, 5.56/1.28 ((~ ('#sk2' @ ('#sk14' @ '#sk1')) | ~ ('#sk3' @ ('#sk22' @ '#sk1')))), 5.56/1.28 inference('demod', [status(thm)], [zip_derived_cl772, zip_derived_cl1314])). 5.56/1.28 thf(zip_derived_cl442, plain, 5.56/1.28 (![X0 : a]: ( ('#sk1' @ X0) | ~ ('#form62' @ X0))), 5.56/1.28 inference('simplify', [status(thm)], [zip_derived_cl439])). 5.56/1.28 thf(zip_derived_cl141, plain, 5.56/1.28 (( ('#sk1' @ ('#sk22' @ '#sk1')) 5.56/1.28 | ~ ('#form110') 5.56/1.28 | ('#sk1' @ ('#sk14' @ '#sk1')) 5.56/1.28 | (('#sk1' @ '#_fresh_sk4') != ('#form62' @ '#_fresh_sk4')))), 5.56/1.28 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl136])). 5.56/1.28 thf(zip_derived_cl562, plain, ( ('#form110')), 5.56/1.28 inference('clc', [status(thm)], [zip_derived_cl554, zip_derived_cl146])). 5.56/1.28 thf(zip_derived_cl563, plain, 5.56/1.28 (( ('#sk1' @ ('#sk22' @ '#sk1')) 5.56/1.28 | ('#sk1' @ ('#sk14' @ '#sk1')) 5.56/1.28 | (('#sk1' @ '#_fresh_sk4') != ('#form62' @ '#_fresh_sk4')))), 5.56/1.28 inference('demod', [status(thm)], [zip_derived_cl141, zip_derived_cl562])). 5.56/1.28 thf(zip_derived_cl760, plain, 5.56/1.28 ((~ ('#form62' @ '#_fresh_sk4') 5.56/1.28 | ~ ('#form62' @ '#_fresh_sk4') 5.56/1.28 | ('#sk1' @ ('#sk14' @ '#sk1')) 5.56/1.28 | ('#sk1' @ ('#sk22' @ '#sk1')))), 5.56/1.28 inference('sup-', [status(thm)], [zip_derived_cl442, zip_derived_cl563])). 5.56/1.28 thf(zip_derived_cl774, plain, 5.56/1.28 (( ('#sk1' @ ('#sk22' @ '#sk1')) 5.56/1.28 | ('#sk1' @ ('#sk14' @ '#sk1')) 5.56/1.28 | ~ ('#form62' @ '#_fresh_sk4'))), 5.56/1.28 inference('simplify', [status(thm)], [zip_derived_cl760])). 5.56/1.28 thf(zip_derived_cl1314, plain, ( ('#form62' @ '#_fresh_sk4')), 5.56/1.28 inference('demod', [status(thm)], 5.56/1.28 [zip_derived_cl1269, zip_derived_cl1248])). 5.56/1.28 thf(zip_derived_cl1317, plain, 5.56/1.28 (( ('#sk1' @ ('#sk22' @ '#sk1')) | ('#sk1' @ ('#sk14' @ '#sk1')))), 5.56/1.28 inference('demod', [status(thm)], [zip_derived_cl774, zip_derived_cl1314])). 5.56/1.28 thf(zip_derived_cl67, plain, (![X0 : a]: ( ('#sk3' @ X0) | ~ ('#sk1' @ X0))), 5.56/1.28 inference('clc', [status(thm)], [zip_derived_cl65, zip_derived_cl51])). 5.56/1.28 thf(zip_derived_cl1415, plain, 5.56/1.28 (( ('#sk1' @ ('#sk14' @ '#sk1')) | ('#sk3' @ ('#sk22' @ '#sk1')))), 5.56/1.28 inference('sup-', [status(thm)], [zip_derived_cl1317, zip_derived_cl67])). 5.56/1.28 thf(zip_derived_cl824, plain, 5.56/1.28 ((~ ('#sk3' @ ('#sk22' @ '#sk1')) 5.56/1.28 | ('#sk1' @ ('#sk14' @ '#sk1')) 5.56/1.28 | (('#sk1' @ '#_fresh_sk4') != ('#form62' @ '#_fresh_sk4')))), 5.56/1.28 inference('demod', [status(thm)], [zip_derived_cl142, zip_derived_cl562])). 5.56/1.28 thf(zip_derived_cl1237, plain, ( ('#sk1' @ '#_fresh_sk4')), 5.56/1.28 inference('clc', [status(thm)], [zip_derived_cl1236, zip_derived_cl969])). 5.56/1.28 thf(zip_derived_cl1241, plain, 5.56/1.28 ((~ ('#sk3' @ ('#sk22' @ '#sk1')) 5.56/1.28 | ('#sk1' @ ('#sk14' @ '#sk1')) 5.56/1.28 | ~ ('#form62' @ '#_fresh_sk4'))), 5.56/1.28 inference('demod', [status(thm)], [zip_derived_cl824, zip_derived_cl1237])). 5.56/1.28 thf(zip_derived_cl1314, plain, ( ('#form62' @ '#_fresh_sk4')), 5.56/1.28 inference('demod', [status(thm)], 5.56/1.28 [zip_derived_cl1269, zip_derived_cl1248])). 5.56/1.28 thf(zip_derived_cl1370, plain, 5.56/1.28 ((~ ('#sk3' @ ('#sk22' @ '#sk1')) | ('#sk1' @ ('#sk14' @ '#sk1')))), 5.56/1.28 inference('demod', [status(thm)], 5.56/1.28 [zip_derived_cl1241, zip_derived_cl1314])). 5.56/1.28 thf(zip_derived_cl1513, plain, ( ('#sk1' @ ('#sk14' @ '#sk1'))), 5.56/1.28 inference('clc', [status(thm)], [zip_derived_cl1415, zip_derived_cl1370])). 5.56/1.28 thf(zip_derived_cl56, plain, (![X0 : a]: ( ('#sk2' @ X0) | ~ ('#sk1' @ X0))), 5.56/1.28 inference('clc', [status(thm)], [zip_derived_cl54, zip_derived_cl52])). 5.56/1.28 thf(zip_derived_cl1517, plain, ( ('#sk2' @ ('#sk14' @ '#sk1'))), 5.56/1.28 inference('sup-', [status(thm)], [zip_derived_cl1513, zip_derived_cl56])). 5.56/1.28 thf(zip_derived_cl1547, plain, (~ ('#sk3' @ ('#sk22' @ '#sk1'))), 5.56/1.28 inference('demod', [status(thm)], 5.56/1.28 [zip_derived_cl1316, zip_derived_cl1517])). 5.56/1.28 thf(zip_derived_cl1107, plain, 5.56/1.28 (( ('#sk1' @ ('#sk22' @ '#sk1')) 5.56/1.28 | ~ ('#sk2' @ ('#sk14' @ '#sk1')) 5.56/1.28 | (('#sk1' @ '#_fresh_sk4') != ('#form62' @ '#_fresh_sk4')))), 5.56/1.28 inference('demod', [status(thm)], [zip_derived_cl147, zip_derived_cl562])). 5.56/1.28 thf(zip_derived_cl1237, plain, ( ('#sk1' @ '#_fresh_sk4')), 5.56/1.28 inference('clc', [status(thm)], [zip_derived_cl1236, zip_derived_cl969])). 5.56/1.28 thf(zip_derived_cl1243, plain, 5.56/1.28 (( ('#sk1' @ ('#sk22' @ '#sk1')) 5.56/1.28 | ~ ('#sk2' @ ('#sk14' @ '#sk1')) 5.56/1.28 | ~ ('#form62' @ '#_fresh_sk4'))), 5.56/1.28 inference('demod', [status(thm)], 5.56/1.28 [zip_derived_cl1107, zip_derived_cl1237])). 5.56/1.28 thf(zip_derived_cl1517, plain, ( ('#sk2' @ ('#sk14' @ '#sk1'))), 5.56/1.28 inference('sup-', [status(thm)], [zip_derived_cl1513, zip_derived_cl56])). 5.56/1.28 thf(zip_derived_cl1314, plain, ( ('#form62' @ '#_fresh_sk4')), 5.56/1.28 inference('demod', [status(thm)], 5.56/1.28 [zip_derived_cl1269, zip_derived_cl1248])). 5.56/1.28 thf(zip_derived_cl1596, plain, ( ('#sk1' @ ('#sk22' @ '#sk1'))), 5.56/1.28 inference('demod', [status(thm)], 5.56/1.28 [zip_derived_cl1243, zip_derived_cl1517, zip_derived_cl1314])). 5.56/1.28 thf(zip_derived_cl67, plain, (![X0 : a]: ( ('#sk3' @ X0) | ~ ('#sk1' @ X0))), 5.56/1.28 inference('clc', [status(thm)], [zip_derived_cl65, zip_derived_cl51])). 5.56/1.28 thf(zip_derived_cl1599, plain, ( ('#sk3' @ ('#sk22' @ '#sk1'))), 5.56/1.28 inference('sup-', [status(thm)], [zip_derived_cl1596, zip_derived_cl67])). 5.56/1.28 thf(zip_derived_cl1619, plain, ($false), 5.56/1.28 inference('demod', [status(thm)], 5.56/1.28 [zip_derived_cl1547, zip_derived_cl1599])). 5.56/1.28 5.56/1.28 % SZS output end Refutation 5.56/1.28 5.56/1.28 5.56/1.28 % Terminating... 5.56/1.34 % Runner terminated. 5.56/1.36 % Zipperpin 1.5 exiting 5.56/1.36 EOF