0.10/0.10 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.10/0.11 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.Ua3GhsXhy5 true 0.11/0.31 % Computer : n002.cluster.edu 0.11/0.31 % Model : x86_64 x86_64 0.11/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.11/0.31 % Memory : 8042.1875MB 0.11/0.31 % OS : Linux 3.10.0-693.el7.x86_64 0.11/0.31 % CPULimit : 1200 0.11/0.31 % WCLimit : 120 0.11/0.31 % DateTime : Tue Jul 13 10:10:39 EDT 2021 0.11/0.31 % CPUTime : 0.11/0.31 % Running portfolio for 120 s 0.11/0.31 % File : /export/starexec/sandbox/benchmark/theBenchmark.p 0.11/0.32 % Number of cores: 8 0.11/0.32 % Python version: Python 3.6.8 0.11/0.32 % Running in HO mode 0.46/0.59 % Total configuration time : 828 0.46/0.59 % Estimated wc time : 983 0.46/0.59 % Estimated cpu time (8 cpus) : 122.875 0.47/0.67 % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 47s 0.47/0.67 % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 47s 0.48/0.68 % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 47s 0.48/0.68 % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 18s 0.48/0.68 % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 53s 0.48/0.68 % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 41s 0.48/0.69 % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 24s 0.48/0.71 % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 35s 0.49/1.16 % Solved by lams/20_acsne_simpl.sh. 0.49/1.16 % done 120 iterations in 0.407s 0.49/1.16 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p' 0.49/1.16 % SZS output start Refutation 0.49/1.16 thf(a_type, type, a: $tType). 0.49/1.16 thf('#sk2_type', type, '#sk2': a > $o). 0.49/1.16 thf('#sk10_type', type, '#sk10': (a > a) > a). 0.49/1.16 thf('#sk1_type', type, '#sk1': a > $o). 0.49/1.16 thf('#sk45_type', type, '#sk45': (a > a) > a > a). 0.49/1.16 thf('#form57_type', type, '#form57': (a > a) > $o). 0.49/1.16 thf('#sk20_type', type, '#sk20': (a > a) > a). 0.49/1.16 thf('#sk3_type', type, '#sk3': a > a). 0.49/1.16 thf('#sk17_type', type, '#sk17': a > a). 0.49/1.16 thf(cEQP1_1B_pme, conjecture, 0.49/1.16 (![Xx:( a > $o ),Xy:( a > $o )]: 0.49/1.16 ( ( ?[Xs:( a > a )]: 0.49/1.16 ( ( ![Xy0:a]: 0.49/1.16 ( ( Xy @ Xy0 ) => 0.49/1.16 ( ?[Xx0:a]: 0.49/1.16 ( ( ( Xy0 ) = ( Xs @ Xx0 ) ) & 0.49/1.16 ( ![Xz:a]: 0.49/1.16 ( ( ( Xx @ Xz ) & ( ( Xy0 ) = ( Xs @ Xz ) ) ) => 0.49/1.16 ( ( Xz ) = ( Xx0 ) ) ) ) & 0.49/1.16 ( Xx @ Xx0 ) ) ) ) ) & 0.49/1.16 ( ![Xx0:a]: ( ( Xx @ Xx0 ) => ( Xy @ ( Xs @ Xx0 ) ) ) ) ) ) => 0.49/1.16 ( ?[Xs:( a > a )]: 0.49/1.16 ( ( ![Xy0:a]: 0.49/1.16 ( ( Xx @ Xy0 ) => 0.49/1.16 ( ?[Xx0:a]: 0.49/1.16 ( ( Xy @ Xx0 ) & ( ( Xy0 ) = ( Xs @ Xx0 ) ) & 0.49/1.16 ( ![Xz:a]: 0.49/1.16 ( ( ( ( Xy0 ) = ( Xs @ Xz ) ) & ( Xy @ Xz ) ) => 0.49/1.16 ( ( Xz ) = ( Xx0 ) ) ) ) ) ) ) ) & 0.49/1.16 ( ![Xx0:a]: ( ( Xy @ Xx0 ) => ( Xx @ ( Xs @ Xx0 ) ) ) ) ) ) ))). 0.49/1.16 thf(zf_stmt_0, negated_conjecture, 0.49/1.16 (~( ![Xx:( a > $o ),Xy:( a > $o )]: 0.49/1.16 ( ( ?[Xs:( a > a )]: 0.49/1.16 ( ( ![Xy0:a]: 0.49/1.16 ( ( Xy @ Xy0 ) => 0.49/1.16 ( ?[Xx0:a]: 0.49/1.16 ( ( ( Xy0 ) = ( Xs @ Xx0 ) ) & 0.49/1.16 ( ![Xz:a]: 0.49/1.16 ( ( ( Xx @ Xz ) & ( ( Xy0 ) = ( Xs @ Xz ) ) ) => 0.49/1.16 ( ( Xz ) = ( Xx0 ) ) ) ) & 0.49/1.16 ( Xx @ Xx0 ) ) ) ) ) & 0.49/1.16 ( ![Xx0:a]: ( ( Xx @ Xx0 ) => ( Xy @ ( Xs @ Xx0 ) ) ) ) ) ) => 0.49/1.16 ( ?[Xs:( a > a )]: 0.49/1.16 ( ( ![Xy0:a]: 0.49/1.16 ( ( Xx @ Xy0 ) => 0.49/1.16 ( ?[Xx0:a]: 0.49/1.16 ( ( Xy @ Xx0 ) & ( ( Xy0 ) = ( Xs @ Xx0 ) ) & 0.49/1.16 ( ![Xz:a]: 0.49/1.16 ( ( ( ( Xy0 ) = ( Xs @ Xz ) ) & ( Xy @ Xz ) ) => 0.49/1.16 ( ( Xz ) = ( Xx0 ) ) ) ) ) ) ) ) & 0.49/1.16 ( ![Xx0:a]: ( ( Xy @ Xx0 ) => ( Xx @ ( Xs @ Xx0 ) ) ) ) ) ) ) )), 0.49/1.16 inference('cnf.neg', [status(esa)], [cEQP1_1B_pme])). 0.49/1.16 thf(zip_derived_cl0, plain, 0.49/1.16 (~ (((!!) @ (^[Y0 : a > $o]: 0.49/1.16 (((!!) @ (^[Y1 : a > $o]: 0.49/1.16 (((((??) @ (^[Y2 : a > a]: 0.49/1.16 (((((!!) @ (^[Y3 : a]: 0.49/1.16 (((Y1 @ Y3) => 0.49/1.16 (((??) @ ( 0.49/1.16 ^[Y4 : a]: 0.49/1.16 (((( 0.49/1.16 (Y3) = 0.49/1.16 (Y2 @ Y4))) & 0.49/1.16 (( 0.49/1.16 (!!) @ ( 0.49/1.16 ^[Y5 : a]: 0.49/1.16 (( 0.49/1.16 (( 0.49/1.16 (Y0 @ 0.49/1.16 Y5) & 0.49/1.16 (( 0.49/1.16 (Y3) = 0.49/1.16 (Y2 @ Y5))))) => 0.49/1.16 (( 0.49/1.16 (Y5) = 0.49/1.16 (Y4)))))))) & 0.49/1.16 (Y0 @ Y4))))))))))) & 0.49/1.16 (((!!) @ (^[Y3 : a]: 0.49/1.16 (((Y0 @ Y3) => 0.49/1.16 (Y1 @ (Y2 @ Y3)))))))))))) => 0.49/1.16 (((??) @ (^[Y2 : a > a]: 0.49/1.16 (((((!!) @ (^[Y3 : a]: 0.49/1.16 (((Y0 @ Y3) => 0.49/1.16 (((??) @ ( 0.49/1.16 ^[Y4 : a]: 0.49/1.16 (((Y1 @ Y4) & 0.49/1.16 (( 0.49/1.16 (Y3) = 0.49/1.16 (Y2 @ Y4))) & 0.49/1.16 (( 0.49/1.16 (!!) @ ( 0.49/1.16 ^[Y5 : a]: 0.49/1.16 (( 0.49/1.16 (( 0.49/1.16 (( 0.49/1.16 (Y3) = 0.49/1.16 (Y2 @ Y5))) & 0.49/1.16 (Y1 @ Y5))) => 0.49/1.16 (( 0.49/1.16 (Y5) = 0.49/1.16 (Y4)))))))))))))))))) & 0.49/1.16 (((!!) @ (^[Y3 : a]: 0.49/1.16 (((Y1 @ Y3) => 0.49/1.16 (Y0 @ (Y2 @ Y3))))))))))))))))))))), 0.49/1.16 inference('cnf', [status(esa)], [zf_stmt_0])). 0.49/1.16 thf(zip_derived_cl1, plain, 0.49/1.16 (~ (((!!) @ (^[Y0 : a > $o]: 0.49/1.16 (((((??) @ (^[Y1 : a > a]: 0.49/1.16 (((((!!) @ (^[Y2 : a]: 0.49/1.16 (((Y0 @ Y2) => 0.49/1.16 (((??) @ (^[Y3 : a]: 0.49/1.16 (((((Y2) = 0.49/1.16 (Y1 @ Y3))) & 0.49/1.16 (((!!) @ ( 0.49/1.16 ^[Y4 : a]: 0.49/1.16 (( 0.49/1.16 (( 0.49/1.16 ('#sk1' @ 0.49/1.16 Y4) & 0.49/1.16 (( 0.49/1.16 (Y2) = 0.49/1.16 (Y1 @ Y4))))) => 0.49/1.16 (( 0.49/1.16 (Y4) = 0.49/1.16 (Y3)))))))) & 0.49/1.16 ('#sk1' @ Y3))))))))))) & 0.49/1.16 (((!!) @ (^[Y2 : a]: 0.49/1.16 ((('#sk1' @ Y2) => (Y0 @ 0.49/1.16 (Y1 @ Y2)))))))))))) => 0.49/1.16 (((??) @ (^[Y1 : a > a]: 0.49/1.16 (((((!!) @ (^[Y2 : a]: 0.49/1.16 ((('#sk1' @ Y2) => 0.49/1.16 (((??) @ (^[Y3 : a]: 0.49/1.16 (((Y0 @ Y3) & 0.49/1.16 (((Y2) = 0.49/1.16 (Y1 @ Y3))) & 0.49/1.16 (((!!) @ ( 0.49/1.16 ^[Y4 : a]: 0.49/1.16 (( 0.49/1.16 (( 0.49/1.16 (( 0.49/1.16 (Y2) = 0.49/1.16 (Y1 @ Y4))) & 0.49/1.16 (Y0 @ Y4))) => 0.49/1.16 (( 0.49/1.16 (Y4) = 0.49/1.16 (Y3)))))))))))))))))) & 0.49/1.16 (((!!) @ (^[Y2 : a]: 0.49/1.16 (((Y0 @ Y2) => ('#sk1' @ 0.49/1.16 (Y1 @ Y2)))))))))))))))))), 0.49/1.16 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl0])). 0.49/1.16 thf(zip_derived_cl2, plain, 0.49/1.16 (~ (((((??) @ (^[Y0 : a > a]: 0.49/1.16 (((((!!) @ (^[Y1 : a]: 0.49/1.16 ((('#sk2' @ Y1) => 0.49/1.16 (((??) @ (^[Y2 : a]: 0.49/1.16 (((((Y1) = (Y0 @ Y2))) & 0.49/1.16 (((!!) @ (^[Y3 : a]: 0.49/1.16 ((((('#sk1' @ 0.49/1.16 Y3) & 0.49/1.16 (( 0.49/1.16 (Y1) = 0.49/1.16 (Y0 @ Y3))))) => 0.49/1.16 (((Y3) = 0.49/1.16 (Y2)))))))) & 0.49/1.16 ('#sk1' @ Y2))))))))))) & 0.49/1.16 (((!!) @ (^[Y1 : a]: 0.49/1.16 ((('#sk1' @ Y1) => ('#sk2' @ (Y0 @ Y1)))))))))))) => 0.49/1.16 (((??) @ (^[Y0 : a > a]: 0.49/1.16 (((((!!) @ (^[Y1 : a]: 0.49/1.16 ((('#sk1' @ Y1) => 0.49/1.16 (((??) @ (^[Y2 : a]: 0.49/1.16 ((('#sk2' @ Y2) & 0.49/1.16 (((Y1) = (Y0 @ Y2))) & 0.49/1.16 (((!!) @ (^[Y3 : a]: 0.49/1.16 (((((( 0.49/1.16 (Y1) = 0.49/1.16 (Y0 @ Y3))) & 0.49/1.16 ('#sk2' @ 0.49/1.16 Y3))) => 0.49/1.16 (((Y3) = 0.49/1.16 (Y2)))))))))))))))))) & 0.49/1.16 (((!!) @ (^[Y1 : a]: 0.49/1.16 ((('#sk2' @ Y1) => ('#sk1' @ (Y0 @ Y1))))))))))))))), 0.49/1.16 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl1])). 0.49/1.16 thf(zip_derived_cl3, plain, 0.49/1.16 ( (((??) @ (^[Y0 : a > a]: 0.49/1.16 (((((!!) @ (^[Y1 : a]: 0.49/1.16 ((('#sk2' @ Y1) => 0.49/1.16 (((??) @ (^[Y2 : a]: 0.49/1.16 (((((Y1) = (Y0 @ Y2))) & 0.49/1.16 (((!!) @ (^[Y3 : a]: 0.49/1.16 ((((('#sk1' @ 0.49/1.16 Y3) & 0.49/1.16 (((Y1) = 0.49/1.16 (Y0 @ Y3))))) => 0.49/1.16 (((Y3) = (Y2)))))))) & 0.49/1.16 ('#sk1' @ Y2))))))))))) & 0.49/1.16 (((!!) @ (^[Y1 : a]: 0.49/1.16 ((('#sk1' @ Y1) => ('#sk2' @ (Y0 @ Y1))))))))))))), 0.49/1.16 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl2])). 0.49/1.16 thf(zip_derived_cl5, plain, 0.49/1.16 ( (((((!!) @ (^[Y0 : a]: 0.49/1.16 ((('#sk2' @ Y0) => 0.49/1.16 (((??) @ (^[Y1 : a]: 0.49/1.16 (((((Y0) = ('#sk3' @ Y1))) & 0.49/1.16 (((!!) @ (^[Y2 : a]: 0.49/1.16 ((((('#sk1' @ Y2) & 0.49/1.16 (((Y0) = ('#sk3' @ Y2))))) => 0.49/1.16 (((Y2) = (Y1)))))))) & 0.49/1.16 ('#sk1' @ Y1))))))))))) & 0.49/1.16 (((!!) @ (^[Y0 : a]: ((('#sk1' @ Y0) => ('#sk2' @ ('#sk3' @ Y0)))))))))), 0.49/1.16 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl3])). 0.49/1.16 thf(zip_derived_cl7, plain, 0.49/1.16 ( (((!!) @ (^[Y0 : a]: 0.49/1.16 ((('#sk2' @ Y0) => 0.49/1.16 (((??) @ (^[Y1 : a]: 0.49/1.16 (((((Y0) = ('#sk3' @ Y1))) & 0.49/1.16 (((!!) @ (^[Y2 : a]: 0.49/1.16 ((((('#sk1' @ Y2) & 0.49/1.16 (((Y0) = ('#sk3' @ Y2))))) => 0.49/1.16 (((Y2) = (Y1)))))))) & 0.49/1.16 ('#sk1' @ Y1)))))))))))), 0.49/1.16 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl5])). 0.49/1.16 thf(zip_derived_cl10, plain, 0.49/1.16 (![X2 : a]: 0.49/1.16 ((('#sk2' @ X2) => 0.49/1.16 (((??) @ (^[Y0 : a]: 0.49/1.16 (((((X2) = ('#sk3' @ Y0))) & 0.49/1.16 (((!!) @ (^[Y1 : a]: 0.49/1.16 ((((('#sk1' @ Y1) & 0.49/1.16 (((X2) = ('#sk3' @ Y1))))) => 0.49/1.16 (((Y1) = (Y0)))))))) & 0.49/1.16 ('#sk1' @ Y0))))))))), 0.49/1.16 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl7])). 0.49/1.16 thf(zip_derived_cl13, plain, 0.49/1.16 (![X2 : a]: 0.49/1.16 (~ ('#sk2' @ X2) 0.49/1.16 | (((??) @ (^[Y0 : a]: 0.49/1.16 (((((X2) = ('#sk3' @ Y0))) & 0.49/1.16 (((!!) @ (^[Y1 : a]: 0.49/1.16 ((((('#sk1' @ Y1) & 0.49/1.16 (((X2) = ('#sk3' @ Y1))))) => 0.49/1.16 (((Y1) = (Y0)))))))) & 0.49/1.16 ('#sk1' @ Y0)))))))), 0.49/1.16 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl10])). 0.49/1.16 thf(zip_derived_cl17, plain, 0.49/1.16 (![X2 : a]: 0.49/1.16 ( (((((X2) = ('#sk3' @ ('#sk17' @ X2)))) & 0.49/1.16 (((!!) @ (^[Y0 : a]: 0.49/1.16 ((((('#sk1' @ Y0) & (((X2) = ('#sk3' @ Y0))))) => 0.49/1.16 (((Y0) = ('#sk17' @ X2)))))))) & 0.49/1.16 ('#sk1' @ ('#sk17' @ X2)))) 0.49/1.16 | ~ ('#sk2' @ X2))), 0.49/1.16 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl13])). 0.49/1.16 thf(zip_derived_cl21, plain, 0.49/1.16 (![X2 : a]: 0.49/1.16 ( (((!!) @ (^[Y0 : a]: 0.49/1.16 ((((('#sk1' @ Y0) & (((X2) = ('#sk3' @ Y0))))) => 0.49/1.16 (((Y0) = ('#sk17' @ X2)))))))) 0.49/1.16 | ~ ('#sk2' @ X2))), 0.49/1.16 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl17])). 0.49/1.16 thf(zip_derived_cl27, plain, 0.49/1.16 (![X2 : a, X4 : a]: 0.49/1.16 ( ((((('#sk1' @ X4) & (((X2) = ('#sk3' @ X4))))) => 0.49/1.16 (((X4) = ('#sk17' @ X2))))) 0.49/1.16 | ~ ('#sk2' @ X2))), 0.49/1.16 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl21])). 0.49/1.16 thf(zip_derived_cl30, plain, 0.49/1.16 (![X2 : a, X4 : a]: 0.49/1.16 (~ ((('#sk1' @ X4) & (((X2) = ('#sk3' @ X4))))) 0.49/1.16 | (((X4) = ('#sk17' @ X2))) 0.49/1.16 | ~ ('#sk2' @ X2))), 0.49/1.16 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl27])). 0.49/1.16 thf(zip_derived_cl33, plain, 0.49/1.16 (![X2 : a, X4 : a]: 0.49/1.16 (~ ((('#sk1' @ X4) & (((X2) = ('#sk3' @ X4))))) 0.49/1.16 | ((X4) = ('#sk17' @ X2)) 0.49/1.16 | ~ ('#sk2' @ X2))), 0.49/1.16 inference('simplify nested equalities', [status(thm)], [zip_derived_cl30])). 0.49/1.16 thf(zip_derived_cl34, plain, 0.49/1.16 (![X2 : a, X4 : a]: 0.49/1.16 (~ ('#sk1' @ X4) 0.49/1.16 | ~ (((X2) = ('#sk3' @ X4))) 0.49/1.16 | ~ ('#sk2' @ X2) 0.49/1.16 | ((X4) = ('#sk17' @ X2)))), 0.49/1.16 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl33])). 0.49/1.16 thf(zip_derived_cl40, plain, 0.49/1.16 (![X2 : a, X4 : a]: 0.49/1.16 (~ ('#sk1' @ X4) 0.49/1.16 | ((X2) != ('#sk3' @ X4)) 0.49/1.16 | ~ ('#sk2' @ X2) 0.49/1.16 | ((X4) = ('#sk17' @ X2)))), 0.49/1.16 inference('simplify nested equalities', [status(thm)], [zip_derived_cl34])). 0.49/1.16 thf(zip_derived_cl41, plain, 0.49/1.16 (![X4 : a]: 0.49/1.16 (((X4) = ('#sk17' @ ('#sk3' @ X4))) 0.49/1.16 | ~ ('#sk2' @ ('#sk3' @ X4)) 0.49/1.16 | ~ ('#sk1' @ X4))), 0.49/1.16 inference('simplify', [status(thm)], [zip_derived_cl40])). 0.49/1.16 thf(zip_derived_cl8, plain, 0.49/1.16 ( (((!!) @ (^[Y0 : a]: ((('#sk1' @ Y0) => ('#sk2' @ ('#sk3' @ Y0)))))))), 0.49/1.16 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl5])). 0.49/1.16 thf(zip_derived_cl11, plain, 0.49/1.16 (![X2 : a]: ((('#sk1' @ X2) => ('#sk2' @ ('#sk3' @ X2))))), 0.49/1.16 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl8])). 0.49/1.16 thf(zip_derived_cl14, plain, 0.49/1.16 (![X2 : a]: (~ ('#sk1' @ X2) | ('#sk2' @ ('#sk3' @ X2)))), 0.49/1.16 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl11])). 0.49/1.16 thf(zip_derived_cl48, plain, 0.49/1.16 (![X4 : a]: (~ ('#sk1' @ X4) | ((X4) = ('#sk17' @ ('#sk3' @ X4))))), 0.49/1.16 inference('clc', [status(thm)], [zip_derived_cl41, zip_derived_cl14])). 0.49/1.16 thf(zip_derived_cl22, plain, 0.49/1.16 (![X2 : a]: ( ('#sk1' @ ('#sk17' @ X2)) | ~ ('#sk2' @ X2))), 0.49/1.16 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl17])). 0.49/1.16 thf(zip_derived_cl4, plain, 0.49/1.16 (~ (((??) @ (^[Y0 : a > a]: 0.49/1.16 (((((!!) @ (^[Y1 : a]: 0.49/1.16 ((('#sk1' @ Y1) => 0.49/1.16 (((??) @ (^[Y2 : a]: 0.49/1.16 ((('#sk2' @ Y2) & 0.49/1.16 (((Y1) = (Y0 @ Y2))) & 0.49/1.16 (((!!) @ (^[Y3 : a]: 0.49/1.16 (((((((Y1) = 0.49/1.16 (Y0 @ Y3))) & 0.49/1.16 ('#sk2' @ 0.49/1.16 Y3))) => 0.49/1.16 (((Y3) = (Y2)))))))))))))))))) & 0.49/1.16 (((!!) @ (^[Y1 : a]: 0.49/1.16 ((('#sk2' @ Y1) => ('#sk1' @ (Y0 @ Y1))))))))))))), 0.49/1.16 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl2])). 0.49/1.16 thf(zip_derived_cl6, plain, 0.49/1.16 (![X2 : a > a]: 0.49/1.16 ~ (((((!!) @ (^[Y0 : a]: 0.49/1.16 ((('#sk1' @ Y0) => 0.49/1.16 (((??) @ (^[Y1 : a]: 0.49/1.16 ((('#sk2' @ Y1) & 0.49/1.16 (((Y0) = (X2 @ Y1))) & 0.49/1.16 (((!!) @ (^[Y2 : a]: 0.49/1.16 (((((((Y0) = (X2 @ Y2))) & 0.49/1.16 ('#sk2' @ Y2))) => 0.49/1.16 (((Y2) = (Y1)))))))))))))))))) & 0.49/1.16 (((!!) @ (^[Y0 : a]: ((('#sk2' @ Y0) => ('#sk1' @ (X2 @ Y0)))))))))), 0.49/1.16 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl4])). 0.49/1.16 thf(zip_derived_cl9, plain, 0.49/1.16 (![X2 : a > a]: 0.49/1.16 (~ (((!!) @ (^[Y0 : a]: 0.49/1.16 ((('#sk1' @ Y0) => 0.49/1.16 (((??) @ (^[Y1 : a]: 0.49/1.16 ((('#sk2' @ Y1) & (((Y0) = (X2 @ Y1))) & 0.49/1.16 (((!!) @ (^[Y2 : a]: 0.49/1.16 (((((((Y0) = (X2 @ Y2))) & 0.49/1.16 ('#sk2' @ Y2))) => 0.49/1.16 (((Y2) = (Y1)))))))))))))))))) 0.49/1.16 | ~ (((!!) @ (^[Y0 : a]: ((('#sk2' @ Y0) => ('#sk1' @ (X2 @ Y0))))))))), 0.49/1.16 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl6])). 0.49/1.16 thf(zip_derived_cl12, plain, 0.49/1.16 (![X2 : a > a]: 0.49/1.16 (~ ((('#sk1' @ ('#sk10' @ X2)) => 0.49/1.16 (((??) @ (^[Y0 : a]: 0.49/1.16 ((('#sk2' @ Y0) & ((('#sk10' @ X2) = (X2 @ Y0))) & 0.49/1.16 (((!!) @ (^[Y1 : a]: 0.49/1.16 ((((((('#sk10' @ X2) = (X2 @ Y1))) & 0.49/1.16 ('#sk2' @ Y1))) => 0.49/1.16 (((Y1) = (Y0))))))))))))))) 0.49/1.16 | ~ (((!!) @ (^[Y0 : a]: ((('#sk2' @ Y0) => ('#sk1' @ (X2 @ Y0))))))))), 0.49/1.16 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl9])). 0.49/1.16 thf(zip_derived_cl15, plain, 0.49/1.16 (![X2 : a > a]: 0.49/1.16 ( ('#sk1' @ ('#sk10' @ X2)) 0.49/1.16 | ~ (((!!) @ (^[Y0 : a]: ((('#sk2' @ Y0) => ('#sk1' @ (X2 @ Y0))))))))), 0.49/1.16 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl12])). 0.49/1.16 thf(zip_derived_cl18, plain, 0.49/1.16 (![X2 : a > a]: 0.49/1.16 (~ ((('#sk2' @ ('#sk20' @ X2)) => ('#sk1' @ (X2 @ ('#sk20' @ X2))))) 0.49/1.16 | ('#sk1' @ ('#sk10' @ X2)))), 0.49/1.16 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl15])). 0.49/1.16 thf(zip_derived_cl24, plain, 0.49/1.16 (![X2 : a > a]: 0.49/1.16 (~ ('#sk1' @ (X2 @ ('#sk20' @ X2))) | ('#sk1' @ ('#sk10' @ X2)))), 0.49/1.16 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl18])). 0.49/1.16 thf(zip_derived_cl90, plain, 0.49/1.16 ((~ ('#sk2' @ ('#sk20' @ '#sk17')) | ('#sk1' @ ('#sk10' @ '#sk17')))), 0.49/1.16 inference('sup-', [status(thm)], [zip_derived_cl22, zip_derived_cl24])). 0.49/1.16 thf(zip_derived_cl23, plain, 0.49/1.16 (![X2 : a > a]: ( ('#sk2' @ ('#sk20' @ X2)) | ('#sk1' @ ('#sk10' @ X2)))), 0.49/1.16 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl18])). 0.49/1.16 thf(zip_derived_cl101, plain, ( ('#sk1' @ ('#sk10' @ '#sk17'))), 0.49/1.16 inference('clc', [status(thm)], [zip_derived_cl90, zip_derived_cl23])). 0.49/1.16 thf(zip_derived_cl14, plain, 0.49/1.16 (![X2 : a]: (~ ('#sk1' @ X2) | ('#sk2' @ ('#sk3' @ X2)))), 0.49/1.16 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl11])). 0.49/1.16 thf(zip_derived_cl16, plain, 0.49/1.16 (![X2 : a > a]: 0.49/1.16 (~ (((??) @ (^[Y0 : a]: 0.49/1.16 ((('#sk2' @ Y0) & ((('#sk10' @ X2) = (X2 @ Y0))) & 0.49/1.16 (((!!) @ (^[Y1 : a]: 0.49/1.16 ((((((('#sk10' @ X2) = (X2 @ Y1))) & 0.49/1.16 ('#sk2' @ Y1))) => 0.49/1.16 (((Y1) = (Y0))))))))))))) 0.49/1.16 | ~ (((!!) @ (^[Y0 : a]: ((('#sk2' @ Y0) => ('#sk1' @ (X2 @ Y0))))))))), 0.49/1.16 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl12])). 0.49/1.16 thf(zip_derived_cl19, plain, 0.49/1.16 (![X2 : a > a, X4 : a]: 0.49/1.16 (~ ((('#sk2' @ X4) & ((('#sk10' @ X2) = (X2 @ X4))) & 0.49/1.16 (((!!) @ (^[Y0 : a]: 0.49/1.16 ((((((('#sk10' @ X2) = (X2 @ Y0))) & ('#sk2' @ Y0))) => 0.49/1.16 (((Y0) = (X4)))))))))) 0.49/1.16 | ~ (((!!) @ (^[Y0 : a]: ((('#sk2' @ Y0) => ('#sk1' @ (X2 @ Y0))))))))), 0.49/1.16 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl16])). 0.49/1.16 thf(zip_derived_cl25, plain, 0.49/1.16 (![X2 : a > a, X4 : a]: 0.49/1.16 (~ ('#sk2' @ X4) 0.49/1.16 | ~ ((('#sk10' @ X2) = (X2 @ X4))) 0.49/1.16 | ~ (((!!) @ (^[Y0 : a]: 0.49/1.16 ((((((('#sk10' @ X2) = (X2 @ Y0))) & ('#sk2' @ Y0))) => 0.49/1.16 (((Y0) = (X4)))))))) 0.49/1.16 | ~ (((!!) @ (^[Y0 : a]: ((('#sk2' @ Y0) => ('#sk1' @ (X2 @ Y0))))))))), 0.49/1.16 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl19])). 0.49/1.16 thf(zip_derived_cl28, plain, 0.49/1.16 (![X2 : a > a, X4 : a]: 0.49/1.16 (~ ('#sk2' @ X4) 0.49/1.16 | (('#sk10' @ X2) != (X2 @ X4)) 0.49/1.16 | ~ (((!!) @ (^[Y0 : a]: 0.49/1.16 ((((((('#sk10' @ X2) = (X2 @ Y0))) & ('#sk2' @ Y0))) => 0.49/1.16 (((Y0) = (X4)))))))) 0.49/1.16 | ~ (((!!) @ (^[Y0 : a]: ((('#sk2' @ Y0) => ('#sk1' @ (X2 @ Y0))))))))), 0.49/1.16 inference('simplify nested equalities', [status(thm)], [zip_derived_cl25])). 0.49/1.16 thf(zip_derived_cl29, plain, 0.49/1.16 (![X2 : a > a, X4 : a]: 0.49/1.16 (~ ((((((('#sk10' @ X2) = (X2 @ ('#sk45' @ X2 @ X4)))) & ('#sk2' @ 0.49/1.16 ('#sk45' @ X2 @ X4)))) => 0.49/1.16 ((('#sk45' @ X2 @ X4) = (X4))))) 0.49/1.16 | ~ (((!!) @ (^[Y0 : a]: ((('#sk2' @ Y0) => ('#sk1' @ (X2 @ Y0))))))) 0.49/1.16 | (('#sk10' @ X2) != (X2 @ X4)) 0.49/1.16 | ~ ('#sk2' @ X4))), 0.49/1.16 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl28])). 0.49/1.16 thf(zip_derived_cl31, plain, 0.49/1.16 (![X2 : a > a, X4 : a]: 0.49/1.16 ( ((((('#sk10' @ X2) = (X2 @ ('#sk45' @ X2 @ X4)))) & ('#sk2' @ 0.49/1.16 ('#sk45' @ X2 @ X4)))) 0.49/1.16 | ~ ('#sk2' @ X4) 0.49/1.16 | (('#sk10' @ X2) != (X2 @ X4)) 0.49/1.16 | ~ (((!!) @ (^[Y0 : a]: ((('#sk2' @ Y0) => ('#sk1' @ (X2 @ Y0))))))))), 0.49/1.16 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl29])). 0.49/1.16 thf(zip_derived_cl31, plain, 0.49/1.16 (![X2 : a > a, X4 : a]: 0.49/1.16 ( ((((('#sk10' @ X2) = (X2 @ ('#sk45' @ X2 @ X4)))) & ('#sk2' @ 0.49/1.16 ('#sk45' @ X2 @ X4)))) 0.49/1.16 | ~ ('#sk2' @ X4) 0.49/1.16 | (('#sk10' @ X2) != (X2 @ X4)) 0.49/1.16 | ~ (((!!) @ (^[Y0 : a]: ((('#sk2' @ Y0) => ('#sk1' @ (X2 @ Y0))))))))), 0.49/1.16 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl29])). 0.49/1.16 thf(zip_derived_cl35, plain, 0.49/1.16 (![X2 : a > a]: 0.49/1.16 ( ('#form57' @ X2) 0.49/1.16 | ~ (((!!) @ (^[Y0 : a]: ((('#sk2' @ Y0) => ('#sk1' @ (X2 @ Y0))))))))), 0.49/1.16 define([status(thm)])). 0.49/1.16 thf(zip_derived_cl37, plain, 0.49/1.16 (![X2 : a > a, X4 : a]: 0.49/1.16 (~ ('#form57' @ X2) 0.49/1.16 | (('#sk10' @ X2) != (X2 @ X4)) 0.49/1.16 | ~ ('#sk2' @ X4) 0.49/1.16 | ((((('#sk10' @ X2) = (X2 @ ('#sk45' @ X2 @ X4)))) & ('#sk2' @ 0.49/1.16 ('#sk45' @ X2 @ X4)))))), 0.49/1.16 inference('renaming', [status(thm)], [zip_derived_cl31, zip_derived_cl35])). 0.49/1.16 thf(zip_derived_cl42, plain, 0.49/1.16 (![X2 : a > a, X4 : a]: 0.49/1.16 ( ((('#sk10' @ X2) = (X2 @ ('#sk45' @ X2 @ X4)))) 0.49/1.16 | ~ ('#sk2' @ X4) 0.49/1.16 | (('#sk10' @ X2) != (X2 @ X4)) 0.49/1.16 | ~ ('#form57' @ X2))), 0.49/1.16 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl37])). 0.49/1.16 thf(zip_derived_cl47, plain, 0.49/1.16 (![X2 : a > a, X4 : a]: 0.49/1.16 ((('#sk10' @ X2) = (X2 @ ('#sk45' @ X2 @ X4))) 0.49/1.16 | ~ ('#sk2' @ X4) 0.49/1.16 | (('#sk10' @ X2) != (X2 @ X4)) 0.49/1.16 | ~ ('#form57' @ X2))), 0.49/1.16 inference('simplify nested equalities', [status(thm)], [zip_derived_cl42])). 0.49/1.16 thf(zip_derived_cl107, plain, 0.49/1.16 (![X0 : a, X1 : a > a]: 0.49/1.16 (~ ('#sk1' @ X0) 0.49/1.16 | ~ ('#form57' @ X1) 0.49/1.16 | (('#sk10' @ X1) != (X1 @ ('#sk3' @ X0))) 0.49/1.16 | (('#sk10' @ X1) = (X1 @ ('#sk45' @ X1 @ ('#sk3' @ X0)))))), 0.49/1.16 inference('sup-', [status(thm)], [zip_derived_cl14, zip_derived_cl47])). 0.49/1.16 thf(zip_derived_cl172, plain, 0.49/1.16 (![X0 : a > a]: 0.49/1.16 ((('#sk10' @ X0) 0.49/1.16 = (X0 @ ('#sk45' @ X0 @ ('#sk3' @ ('#sk10' @ '#sk17'))))) 0.49/1.16 | (('#sk10' @ X0) != (X0 @ ('#sk3' @ ('#sk10' @ '#sk17')))) 0.49/1.16 | ~ ('#form57' @ X0))), 0.49/1.16 inference('sup-', [status(thm)], [zip_derived_cl101, zip_derived_cl107])). 0.49/1.16 thf(zip_derived_cl20, plain, 0.49/1.16 (![X2 : a]: ( (((X2) = ('#sk3' @ ('#sk17' @ X2)))) | ~ ('#sk2' @ X2))), 0.49/1.16 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl17])). 0.49/1.16 thf(zip_derived_cl26, plain, 0.49/1.16 (![X2 : a]: (((X2) = ('#sk3' @ ('#sk17' @ X2))) | ~ ('#sk2' @ X2))), 0.49/1.16 inference('simplify nested equalities', [status(thm)], [zip_derived_cl20])). 0.49/1.16 thf(zip_derived_cl313, plain, 0.49/1.16 (((('#sk45' @ '#sk17' @ ('#sk3' @ ('#sk10' @ '#sk17'))) 0.49/1.16 = ('#sk3' @ ('#sk10' @ '#sk17'))) 0.49/1.16 | ~ ('#form57' @ '#sk17') 0.49/1.16 | (('#sk10' @ '#sk17') != ('#sk17' @ ('#sk3' @ ('#sk10' @ '#sk17')))) 0.49/1.16 | ~ ('#sk2' @ ('#sk45' @ '#sk17' @ ('#sk3' @ ('#sk10' @ '#sk17')))))), 0.49/1.16 inference('sup+', [status(thm)], [zip_derived_cl172, zip_derived_cl26])). 0.49/1.16 thf(zip_derived_cl22, plain, 0.49/1.16 (![X2 : a]: ( ('#sk1' @ ('#sk17' @ X2)) | ~ ('#sk2' @ X2))), 0.49/1.16 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl17])). 0.49/1.16 thf(zip_derived_cl35, plain, 0.49/1.16 (![X2 : a > a]: 0.49/1.16 ( ('#form57' @ X2) 0.49/1.16 | ~ (((!!) @ (^[Y0 : a]: ((('#sk2' @ Y0) => ('#sk1' @ (X2 @ Y0))))))))), 0.49/1.16 define([status(thm)])). 0.49/1.16 thf(zip_derived_cl36, plain, 0.49/1.16 (![X2 : a > a]: 0.49/1.16 (~ ((('#sk2' @ ('#sk20' @ X2)) => ('#sk1' @ (X2 @ ('#sk20' @ X2))))) 0.49/1.16 | ('#form57' @ X2))), 0.49/1.16 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl35])). 0.49/1.16 thf(zip_derived_cl45, plain, 0.49/1.16 (![X2 : a > a]: (~ ('#sk1' @ (X2 @ ('#sk20' @ X2))) | ('#form57' @ X2))), 0.49/1.16 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl36])). 0.49/1.16 thf(zip_derived_cl49, plain, 0.49/1.16 ((~ ('#sk2' @ ('#sk20' @ '#sk17')) | ('#form57' @ '#sk17'))), 0.49/1.16 inference('sup-', [status(thm)], [zip_derived_cl22, zip_derived_cl45])). 0.49/1.16 thf(zip_derived_cl44, plain, 0.49/1.16 (![X2 : a > a]: ( ('#sk2' @ ('#sk20' @ X2)) | ('#form57' @ X2))), 0.49/1.16 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl36])). 0.49/1.16 thf(zip_derived_cl73, plain, 0.49/1.16 (( ('#form57' @ '#sk17') | ('#form57' @ '#sk17'))), 0.49/1.16 inference('sup+', [status(thm)], [zip_derived_cl49, zip_derived_cl44])). 0.49/1.16 thf(zip_derived_cl76, plain, ( ('#form57' @ '#sk17')), 0.49/1.16 inference('simplify', [status(thm)], [zip_derived_cl73])). 0.49/1.16 thf(zip_derived_cl372, plain, 0.49/1.16 (((('#sk45' @ '#sk17' @ ('#sk3' @ ('#sk10' @ '#sk17'))) 0.49/1.16 = ('#sk3' @ ('#sk10' @ '#sk17'))) 0.49/1.16 | (('#sk10' @ '#sk17') != ('#sk17' @ ('#sk3' @ ('#sk10' @ '#sk17')))) 0.49/1.16 | ~ ('#sk2' @ ('#sk45' @ '#sk17' @ ('#sk3' @ ('#sk10' @ '#sk17')))))), 0.49/1.16 inference('demod', [status(thm)], [zip_derived_cl313, zip_derived_cl76])). 0.49/1.16 thf(zip_derived_cl101, plain, ( ('#sk1' @ ('#sk10' @ '#sk17'))), 0.49/1.16 inference('clc', [status(thm)], [zip_derived_cl90, zip_derived_cl23])). 0.49/1.16 thf(zip_derived_cl14, plain, 0.49/1.16 (![X2 : a]: (~ ('#sk1' @ X2) | ('#sk2' @ ('#sk3' @ X2)))), 0.49/1.16 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl11])). 0.49/1.16 thf(zip_derived_cl43, plain, 0.49/1.16 (![X2 : a > a, X4 : a]: 0.49/1.16 ( ('#sk2' @ ('#sk45' @ X2 @ X4)) 0.49/1.16 | ~ ('#sk2' @ X4) 0.49/1.16 | (('#sk10' @ X2) != (X2 @ X4)) 0.49/1.16 | ~ ('#form57' @ X2))), 0.49/1.16 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl37])). 0.49/1.16 thf(zip_derived_cl113, plain, 0.49/1.16 (![X0 : a, X1 : a > a]: 0.49/1.16 (~ ('#sk1' @ X0) 0.49/1.16 | ~ ('#form57' @ X1) 0.49/1.16 | (('#sk10' @ X1) != (X1 @ ('#sk3' @ X0))) 0.49/1.16 | ('#sk2' @ ('#sk45' @ X1 @ ('#sk3' @ X0))))), 0.49/1.16 inference('sup-', [status(thm)], [zip_derived_cl14, zip_derived_cl43])). 0.49/1.16 thf(zip_derived_cl190, plain, 0.49/1.16 (![X0 : a > a]: 0.49/1.16 ( ('#sk2' @ ('#sk45' @ X0 @ ('#sk3' @ ('#sk10' @ '#sk17')))) 0.49/1.16 | (('#sk10' @ X0) != (X0 @ ('#sk3' @ ('#sk10' @ '#sk17')))) 0.49/1.16 | ~ ('#form57' @ X0))), 0.49/1.16 inference('sup-', [status(thm)], [zip_derived_cl101, zip_derived_cl113])). 0.49/1.16 thf(zip_derived_cl602, plain, 0.49/1.16 (((('#sk10' @ '#sk17') != ('#sk17' @ ('#sk3' @ ('#sk10' @ '#sk17')))) 0.49/1.16 | (('#sk45' @ '#sk17' @ ('#sk3' @ ('#sk10' @ '#sk17'))) 0.49/1.16 = ('#sk3' @ ('#sk10' @ '#sk17'))) 0.49/1.16 | ~ ('#form57' @ '#sk17') 0.49/1.16 | (('#sk10' @ '#sk17') != ('#sk17' @ ('#sk3' @ ('#sk10' @ '#sk17')))))), 0.49/1.16 inference('sup+', [status(thm)], [zip_derived_cl372, zip_derived_cl190])). 0.49/1.16 thf(zip_derived_cl76, plain, ( ('#form57' @ '#sk17')), 0.49/1.16 inference('simplify', [status(thm)], [zip_derived_cl73])). 0.49/1.16 thf(zip_derived_cl619, plain, 0.49/1.16 (((('#sk10' @ '#sk17') != ('#sk17' @ ('#sk3' @ ('#sk10' @ '#sk17')))) 0.49/1.16 | (('#sk45' @ '#sk17' @ ('#sk3' @ ('#sk10' @ '#sk17'))) 0.49/1.16 = ('#sk3' @ ('#sk10' @ '#sk17'))) 0.49/1.16 | (('#sk10' @ '#sk17') != ('#sk17' @ ('#sk3' @ ('#sk10' @ '#sk17')))))), 0.49/1.16 inference('demod', [status(thm)], [zip_derived_cl602, zip_derived_cl76])). 0.49/1.16 thf(zip_derived_cl620, plain, 0.49/1.16 (((('#sk45' @ '#sk17' @ ('#sk3' @ ('#sk10' @ '#sk17'))) 0.49/1.16 = ('#sk3' @ ('#sk10' @ '#sk17'))) 0.49/1.16 | (('#sk10' @ '#sk17') != ('#sk17' @ ('#sk3' @ ('#sk10' @ '#sk17')))))), 0.49/1.16 inference('simplify', [status(thm)], [zip_derived_cl619])). 0.49/1.16 thf(zip_derived_cl48, plain, 0.49/1.16 (![X4 : a]: (~ ('#sk1' @ X4) | ((X4) = ('#sk17' @ ('#sk3' @ X4))))), 0.49/1.16 inference('clc', [status(thm)], [zip_derived_cl41, zip_derived_cl14])). 0.49/1.16 thf(zip_derived_cl48, plain, 0.49/1.16 (![X4 : a]: (~ ('#sk1' @ X4) | ((X4) = ('#sk17' @ ('#sk3' @ X4))))), 0.49/1.16 inference('clc', [status(thm)], [zip_derived_cl41, zip_derived_cl14])). 0.49/1.16 thf(zip_derived_cl101, plain, ( ('#sk1' @ ('#sk10' @ '#sk17'))), 0.49/1.16 inference('clc', [status(thm)], [zip_derived_cl90, zip_derived_cl23])). 0.49/1.16 thf(zip_derived_cl14, plain, 0.49/1.16 (![X2 : a]: (~ ('#sk1' @ X2) | ('#sk2' @ ('#sk3' @ X2)))), 0.49/1.16 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl11])). 0.49/1.16 thf(zip_derived_cl22, plain, 0.49/1.16 (![X2 : a]: ( ('#sk1' @ ('#sk17' @ X2)) | ~ ('#sk2' @ X2))), 0.49/1.16 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl17])). 0.49/1.16 thf(zip_derived_cl14, plain, 0.49/1.16 (![X2 : a]: (~ ('#sk1' @ X2) | ('#sk2' @ ('#sk3' @ X2)))), 0.49/1.16 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl11])). 0.49/1.16 thf(zip_derived_cl22, plain, 0.49/1.16 (![X2 : a]: ( ('#sk1' @ ('#sk17' @ X2)) | ~ ('#sk2' @ X2))), 0.49/1.16 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl17])). 0.49/1.16 thf(zip_derived_cl14, plain, 0.49/1.16 (![X2 : a]: (~ ('#sk1' @ X2) | ('#sk2' @ ('#sk3' @ X2)))), 0.49/1.16 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl11])). 0.49/1.16 thf(zip_derived_cl32, plain, 0.49/1.16 (![X2 : a > a, X4 : a]: 0.49/1.16 (~ ((('#sk45' @ X2 @ X4) = (X4))) 0.49/1.16 | ~ ('#sk2' @ X4) 0.49/1.16 | (('#sk10' @ X2) != (X2 @ X4)) 0.49/1.16 | ~ (((!!) @ (^[Y0 : a]: ((('#sk2' @ Y0) => ('#sk1' @ (X2 @ Y0))))))))), 0.49/1.16 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl29])). 0.49/1.16 thf(zip_derived_cl38, plain, 0.49/1.16 (![X2 : a > a, X4 : a]: 0.49/1.16 ((('#sk45' @ X2 @ X4) != (X4)) 0.49/1.16 | ~ ('#sk2' @ X4) 0.49/1.16 | (('#sk10' @ X2) != (X2 @ X4)) 0.49/1.16 | ~ (((!!) @ (^[Y0 : a]: ((('#sk2' @ Y0) => ('#sk1' @ (X2 @ Y0))))))))), 0.49/1.16 inference('simplify nested equalities', [status(thm)], [zip_derived_cl32])). 0.49/1.16 thf(zip_derived_cl35, plain, 0.49/1.16 (![X2 : a > a]: 0.49/1.16 ( ('#form57' @ X2) 0.49/1.16 | ~ (((!!) @ (^[Y0 : a]: ((('#sk2' @ Y0) => ('#sk1' @ (X2 @ Y0))))))))), 0.49/1.16 define([status(thm)])). 0.49/1.16 thf(zip_derived_cl39, plain, 0.49/1.16 (![X2 : a > a, X4 : a]: 0.49/1.16 (~ ('#form57' @ (^[Y0 : a]: (X2 @ Y0))) 0.49/1.16 | (('#sk10' @ X2) != (X2 @ X4)) 0.49/1.16 | ~ ('#sk2' @ X4) 0.49/1.16 | (('#sk45' @ X2 @ X4) != (X4)))), 0.49/1.16 inference('renaming', [status(thm)], [zip_derived_cl38, zip_derived_cl35])). 0.49/1.16 thf(zip_derived_cl46, plain, 0.49/1.16 (![X2 : a > a, X4 : a]: 0.49/1.16 (~ ('#form57' @ X2) 0.49/1.16 | (('#sk10' @ X2) != (X2 @ X4)) 0.49/1.16 | ~ ('#sk2' @ X4) 0.49/1.16 | (('#sk45' @ X2 @ X4) != (X4)))), 0.49/1.16 inference('ho_norm', [status(thm)], [zip_derived_cl39])). 0.49/1.16 thf(zip_derived_cl82, plain, 0.49/1.16 (![X0 : a, X1 : a > a]: 0.49/1.16 (~ ('#sk1' @ X0) 0.49/1.16 | (('#sk45' @ X1 @ ('#sk3' @ X0)) != ('#sk3' @ X0)) 0.49/1.16 | (('#sk10' @ X1) != (X1 @ ('#sk3' @ X0))) 0.49/1.16 | ~ ('#form57' @ X1))), 0.49/1.16 inference('sup-', [status(thm)], [zip_derived_cl14, zip_derived_cl46])). 0.49/1.16 thf(zip_derived_cl86, plain, 0.49/1.16 (![X0 : a, X1 : a > a]: 0.49/1.16 (~ ('#sk2' @ X0) 0.49/1.16 | ~ ('#form57' @ X1) 0.49/1.16 | (('#sk10' @ X1) != (X1 @ ('#sk3' @ ('#sk17' @ X0)))) 0.49/1.16 | (('#sk45' @ X1 @ ('#sk3' @ ('#sk17' @ X0))) 0.49/1.16 != ('#sk3' @ ('#sk17' @ X0))))), 0.49/1.16 inference('sup-', [status(thm)], [zip_derived_cl22, zip_derived_cl82])). 0.49/1.16 thf(zip_derived_cl119, plain, 0.49/1.16 (![X0 : a, X1 : a > a]: 0.49/1.16 (~ ('#sk1' @ X0) 0.49/1.16 | (('#sk45' @ X1 @ ('#sk3' @ ('#sk17' @ ('#sk3' @ X0)))) 0.49/1.16 != ('#sk3' @ ('#sk17' @ ('#sk3' @ X0)))) 0.49/1.16 | (('#sk10' @ X1) != (X1 @ ('#sk3' @ ('#sk17' @ ('#sk3' @ X0))))) 0.49/1.16 | ~ ('#form57' @ X1))), 0.49/1.16 inference('sup-', [status(thm)], [zip_derived_cl14, zip_derived_cl86])). 0.49/1.16 thf(zip_derived_cl144, plain, 0.49/1.16 (![X0 : a, X1 : a > a]: 0.49/1.16 (~ ('#sk2' @ X0) 0.49/1.16 | ~ ('#form57' @ X1) 0.49/1.16 | (('#sk10' @ X1) 0.49/1.16 != (X1 @ ('#sk3' @ ('#sk17' @ ('#sk3' @ ('#sk17' @ X0)))))) 0.49/1.16 | (('#sk45' @ X1 @ ('#sk3' @ ('#sk17' @ ('#sk3' @ ('#sk17' @ X0))))) 0.49/1.16 != ('#sk3' @ ('#sk17' @ ('#sk3' @ ('#sk17' @ X0))))))), 0.49/1.16 inference('sup-', [status(thm)], [zip_derived_cl22, zip_derived_cl119])). 0.49/1.16 thf(zip_derived_cl154, plain, 0.49/1.16 (![X0 : a, X1 : a > a]: 0.49/1.16 (~ ('#sk1' @ X0) 0.49/1.16 | (('#sk45' @ X1 @ 0.49/1.16 ('#sk3' @ ('#sk17' @ ('#sk3' @ ('#sk17' @ ('#sk3' @ X0)))))) 0.49/1.16 != ('#sk3' @ ('#sk17' @ ('#sk3' @ ('#sk17' @ ('#sk3' @ X0)))))) 0.49/1.16 | (('#sk10' @ X1) 0.49/1.16 != (X1 @ 0.49/1.16 ('#sk3' @ ('#sk17' @ ('#sk3' @ ('#sk17' @ ('#sk3' @ X0))))))) 0.49/1.16 | ~ ('#form57' @ X1))), 0.49/1.16 inference('sup-', [status(thm)], [zip_derived_cl14, zip_derived_cl144])). 0.49/1.16 thf(zip_derived_cl159, plain, 0.49/1.16 (![X0 : a > a]: 0.49/1.16 (~ ('#form57' @ X0) 0.49/1.16 | (('#sk10' @ X0) 0.49/1.16 != (X0 @ 0.49/1.16 ('#sk3' @ 0.49/1.16 ('#sk17' @ 0.49/1.16 ('#sk3' @ ('#sk17' @ ('#sk3' @ ('#sk10' @ '#sk17')))))))) 0.49/1.16 | (('#sk45' @ X0 @ 0.49/1.16 ('#sk3' @ 0.49/1.16 ('#sk17' @ ('#sk3' @ ('#sk17' @ ('#sk3' @ ('#sk10' @ '#sk17'))))))) 0.49/1.16 != ('#sk3' @ 0.49/1.16 ('#sk17' @ 0.49/1.16 ('#sk3' @ ('#sk17' @ ('#sk3' @ ('#sk10' @ '#sk17'))))))))), 0.49/1.16 inference('sup-', [status(thm)], [zip_derived_cl101, zip_derived_cl154])). 0.49/1.16 thf(zip_derived_cl282, plain, 0.49/1.16 (![X0 : a > a]: 0.49/1.16 ((('#sk45' @ X0 @ 0.49/1.16 ('#sk3' @ ('#sk17' @ ('#sk3' @ ('#sk10' @ '#sk17'))))) 0.49/1.16 != ('#sk3' @ 0.49/1.16 ('#sk17' @ 0.49/1.16 ('#sk3' @ ('#sk17' @ ('#sk3' @ ('#sk10' @ '#sk17'))))))) 0.49/1.16 | ~ ('#sk1' @ ('#sk10' @ '#sk17')) 0.49/1.16 | (('#sk10' @ X0) 0.49/1.16 != (X0 @ 0.49/1.16 ('#sk3' @ 0.49/1.16 ('#sk17' @ 0.49/1.16 ('#sk3' @ ('#sk17' @ ('#sk3' @ ('#sk10' @ '#sk17')))))))) 0.49/1.16 | ~ ('#form57' @ X0))), 0.49/1.16 inference('sup-', [status(thm)], [zip_derived_cl48, zip_derived_cl159])). 0.49/1.16 thf(zip_derived_cl101, plain, ( ('#sk1' @ ('#sk10' @ '#sk17'))), 0.49/1.16 inference('clc', [status(thm)], [zip_derived_cl90, zip_derived_cl23])). 0.49/1.16 thf(zip_derived_cl290, plain, 0.49/1.16 (![X0 : a > a]: 0.49/1.16 ((('#sk45' @ X0 @ 0.49/1.16 ('#sk3' @ ('#sk17' @ ('#sk3' @ ('#sk10' @ '#sk17'))))) 0.49/1.16 != ('#sk3' @ 0.49/1.16 ('#sk17' @ 0.49/1.16 ('#sk3' @ ('#sk17' @ ('#sk3' @ ('#sk10' @ '#sk17'))))))) 0.49/1.16 | (('#sk10' @ X0) 0.49/1.16 != (X0 @ 0.49/1.16 ('#sk3' @ 0.49/1.16 ('#sk17' @ 0.49/1.16 ('#sk3' @ ('#sk17' @ ('#sk3' @ ('#sk10' @ '#sk17')))))))) 0.49/1.16 | ~ ('#form57' @ X0))), 0.49/1.16 inference('demod', [status(thm)], [zip_derived_cl282, zip_derived_cl101])). 0.49/1.16 thf(zip_derived_cl292, plain, 0.49/1.16 (![X0 : a > a]: 0.49/1.16 ((('#sk45' @ X0 @ ('#sk3' @ ('#sk10' @ '#sk17'))) 0.49/1.16 != ('#sk3' @ 0.49/1.16 ('#sk17' @ 0.49/1.16 ('#sk3' @ ('#sk17' @ ('#sk3' @ ('#sk10' @ '#sk17'))))))) 0.49/1.16 | ~ ('#sk1' @ ('#sk10' @ '#sk17')) 0.49/1.16 | ~ ('#form57' @ X0) 0.49/1.16 | (('#sk10' @ X0) 0.49/1.16 != (X0 @ 0.49/1.16 ('#sk3' @ 0.49/1.16 ('#sk17' @ 0.49/1.16 ('#sk3' @ ('#sk17' @ ('#sk3' @ ('#sk10' @ '#sk17')))))))))), 0.49/1.16 inference('sup-', [status(thm)], [zip_derived_cl48, zip_derived_cl290])). 0.49/1.16 thf(zip_derived_cl101, plain, ( ('#sk1' @ ('#sk10' @ '#sk17'))), 0.49/1.16 inference('clc', [status(thm)], [zip_derived_cl90, zip_derived_cl23])). 0.49/1.16 thf(zip_derived_cl296, plain, 0.49/1.16 (![X0 : a > a]: 0.49/1.16 ((('#sk45' @ X0 @ ('#sk3' @ ('#sk10' @ '#sk17'))) 0.49/1.16 != ('#sk3' @ 0.49/1.16 ('#sk17' @ 0.49/1.16 ('#sk3' @ ('#sk17' @ ('#sk3' @ ('#sk10' @ '#sk17'))))))) 0.49/1.16 | ~ ('#form57' @ X0) 0.49/1.16 | (('#sk10' @ X0) 0.49/1.16 != (X0 @ 0.49/1.16 ('#sk3' @ 0.49/1.16 ('#sk17' @ 0.49/1.16 ('#sk3' @ ('#sk17' @ ('#sk3' @ ('#sk10' @ '#sk17')))))))))), 0.49/1.16 inference('demod', [status(thm)], [zip_derived_cl292, zip_derived_cl101])). 0.49/1.16 thf(zip_derived_cl631, plain, 0.49/1.16 (((('#sk3' @ ('#sk10' @ '#sk17')) 0.49/1.16 != ('#sk3' @ 0.49/1.16 ('#sk17' @ ('#sk3' @ ('#sk17' @ ('#sk3' @ ('#sk10' @ '#sk17'))))))) 0.49/1.16 | (('#sk10' @ '#sk17') != ('#sk17' @ ('#sk3' @ ('#sk10' @ '#sk17')))) 0.49/1.16 | (('#sk10' @ '#sk17') 0.49/1.16 != ('#sk17' @ 0.49/1.16 ('#sk3' @ 0.49/1.16 ('#sk17' @ 0.49/1.16 ('#sk3' @ ('#sk17' @ ('#sk3' @ ('#sk10' @ '#sk17')))))))) 0.49/1.16 | ~ ('#form57' @ '#sk17'))), 0.49/1.16 inference('sup-', [status(thm)], [zip_derived_cl620, zip_derived_cl296])). 0.49/1.16 thf(zip_derived_cl76, plain, ( ('#form57' @ '#sk17')), 0.49/1.16 inference('simplify', [status(thm)], [zip_derived_cl73])). 0.49/1.16 thf(zip_derived_cl643, plain, 0.49/1.16 (((('#sk3' @ ('#sk10' @ '#sk17')) 0.49/1.16 != ('#sk3' @ 0.49/1.16 ('#sk17' @ ('#sk3' @ ('#sk17' @ ('#sk3' @ ('#sk10' @ '#sk17'))))))) 0.49/1.16 | (('#sk10' @ '#sk17') != ('#sk17' @ ('#sk3' @ ('#sk10' @ '#sk17')))) 0.49/1.16 | (('#sk10' @ '#sk17') 0.49/1.16 != ('#sk17' @ 0.49/1.16 ('#sk3' @ 0.49/1.16 ('#sk17' @ 0.49/1.16 ('#sk3' @ ('#sk17' @ ('#sk3' @ ('#sk10' @ '#sk17')))))))))), 0.49/1.16 inference('demod', [status(thm)], [zip_derived_cl631, zip_derived_cl76])). 0.49/1.16 thf(zip_derived_cl644, plain, 0.49/1.16 (((('#sk3' @ ('#sk10' @ '#sk17')) != ('#sk3' @ ('#sk10' @ '#sk17'))) 0.49/1.16 | (('#sk10' @ '#sk17') != ('#sk17' @ ('#sk3' @ ('#sk10' @ '#sk17')))) 0.49/1.16 | (('#sk10' @ '#sk17') != ('#sk10' @ '#sk17')))), 0.49/1.16 inference('local_rewriting', [status(thm)], [zip_derived_cl643])). 0.49/1.16 thf(zip_derived_cl645, plain, 0.49/1.16 ((('#sk10' @ '#sk17') != ('#sk17' @ ('#sk3' @ ('#sk10' @ '#sk17'))))), 0.49/1.16 inference('simplify', [status(thm)], [zip_derived_cl644])). 0.49/1.16 thf(zip_derived_cl668, plain, 0.49/1.16 (((('#sk10' @ '#sk17') != ('#sk10' @ '#sk17')) 0.49/1.16 | ~ ('#sk1' @ ('#sk10' @ '#sk17')))), 0.49/1.16 inference('sup-', [status(thm)], [zip_derived_cl48, zip_derived_cl645])). 0.49/1.16 thf(zip_derived_cl101, plain, ( ('#sk1' @ ('#sk10' @ '#sk17'))), 0.49/1.16 inference('clc', [status(thm)], [zip_derived_cl90, zip_derived_cl23])). 0.49/1.16 thf(zip_derived_cl670, plain, ((('#sk10' @ '#sk17') != ('#sk10' @ '#sk17'))), 0.49/1.16 inference('demod', [status(thm)], [zip_derived_cl668, zip_derived_cl101])). 0.49/1.16 thf(zip_derived_cl671, plain, ($false), 0.49/1.16 inference('simplify', [status(thm)], [zip_derived_cl670])). 0.49/1.16 0.49/1.16 % SZS output end Refutation 0.49/1.16 0.49/1.16 0.49/1.16 % Terminating... 4.77/1.22 % Runner terminated. 4.77/1.24 % Zipperpin 1.5 exiting 4.77/1.24 EOF