0.09/0.10 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.09/0.11 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.KkdVmrVrt2 true 0.10/0.31 % Computer : n021.cluster.edu 0.10/0.31 % Model : x86_64 x86_64 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.10/0.31 % Memory : 8042.1875MB 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64 0.10/0.31 % CPULimit : 1440 0.10/0.31 % WCLimit : 180 0.10/0.31 % DateTime : Thu Jul 4 07:07:54 EDT 2024 0.16/0.31 % CPUTime : 0.16/0.31 % Running portfolio for 1440 s 0.16/0.31 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p 0.16/0.31 % Number of cores: 8 0.16/0.32 % Python version: Python 3.6.8 0.16/0.32 % Running in HO mode 0.67/0.60 % Total configuration time : 828 0.67/0.60 % Estimated wc time : 1656 0.67/0.60 % Estimated cpu time (8 cpus) : 207.0 0.94/0.67 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s 0.94/0.68 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s 0.94/0.68 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s 0.94/0.68 % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s 0.94/0.68 % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s 0.94/0.68 % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s 0.94/0.68 % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s 0.94/0.70 % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s 239.17/30.73 % /export/starexec/sandbox2/solver/bin/lams/30_b.l.sh running for 90s 317.70/40.73 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif.sh running for 56s 476.36/60.76 % /export/starexec/sandbox2/solver/bin/lams/15_old_s4.sh running for 30s 555.53/70.81 % /export/starexec/sandbox2/solver/bin/lams/15_lifting3.sh running for 30s 555.87/70.90 % /export/starexec/sandbox2/solver/bin/lams/33_shallow_sine.sh running for 66s 631.90/80.50 % /export/starexec/sandbox2/solver/bin/lams/40_e_lift.sh running for 80s 632.35/80.59 % /export/starexec/sandbox2/solver/bin/lams/15_lifting1.sh running for 30s 632.35/80.72 % /export/starexec/sandbox2/solver/bin/lams/8_new_cnf.sh running for 16s 632.35/80.76 % /export/starexec/sandbox2/solver/bin/lams/10_e_short2.sh running for 20s 711.57/90.72 % /export/starexec/sandbox2/solver/bin/lams/8_add_var_l_av.sh running for 16s 711.57/90.81 % /export/starexec/sandbox2/solver/bin/lams/8_new_sh_or.sh running for 16s 757.25/96.58 % /export/starexec/sandbox2/solver/bin/lams/30_old_zip1.sh running for 36s 758.43/96.78 % /export/starexec/sandbox2/solver/bin/lams/10_shallow_lift.sh running for 30s 787.01/100.38 % Solved by lams/8_new_sh_or.sh. 787.01/100.38 % done 204 iterations in 9.488s 787.01/100.38 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p' 787.01/100.38 % SZS output start Refutation 787.01/100.38 thf(a_type, type, a: $tType). 787.01/100.38 thf('#sk290_type', type, '#sk290': (a > a > $o) > (a > a > $o) > a). 787.01/100.38 thf('#sk2_type', type, '#sk2': a). 787.01/100.38 thf('#sk201_type', type, '#sk201': (a > a > $o) > (a > a > $o) > a). 787.01/100.38 thf('#sk178_type', type, '#sk178': (a > a > $o) > (a > a > $o) > a). 787.01/100.38 thf('#sk351_type', type, '#sk351': (a > a > $o) > (a > a > $o) > a). 787.01/100.38 thf('#sk141_type', type, '#sk141': a > a > $o). 787.01/100.38 thf('#sk1_type', type, '#sk1': a > a > $o). 787.01/100.38 thf('#sk3_type', type, '#sk3': a). 787.01/100.38 thf(cTHM522_pme, conjecture, 787.01/100.38 (![Xr:( a > a > $o ),Xx:a,Xy:a]: 787.01/100.38 ( ( ![Xp:( a > a > $o )]: 787.01/100.38 ( ( ( ![Xx0:a,Xy0:a]: ( ( Xr @ Xx0 @ Xy0 ) => ( Xp @ Xx0 @ Xy0 ) ) ) & 787.01/100.38 ( ![Xx0:a,Xy0:a]: ( ( Xp @ Xx0 @ Xy0 ) => ( Xp @ Xy0 @ Xx0 ) ) ) ) => 787.01/100.38 ( Xp @ Xx @ Xy ) ) ) <=> 787.01/100.38 ( ( Xr @ Xy @ Xx ) | ( Xr @ Xx @ Xy ) ) ))). 787.01/100.38 thf(zf_stmt_0, negated_conjecture, 787.01/100.38 (~( ![Xr:( a > a > $o ),Xx:a,Xy:a]: 787.01/100.38 ( ( ![Xp:( a > a > $o )]: 787.01/100.38 ( ( ( ![Xx0:a,Xy0:a]: ( ( Xr @ Xx0 @ Xy0 ) => ( Xp @ Xx0 @ Xy0 ) ) ) & 787.01/100.38 ( ![Xx0:a,Xy0:a]: ( ( Xp @ Xx0 @ Xy0 ) => ( Xp @ Xy0 @ Xx0 ) ) ) ) => 787.01/100.38 ( Xp @ Xx @ Xy ) ) ) <=> 787.01/100.38 ( ( Xr @ Xy @ Xx ) | ( Xr @ Xx @ Xy ) ) ) )), 787.01/100.38 inference('cnf.neg', [status(esa)], [cTHM522_pme])). 787.01/100.38 thf(zip_derived_cl0, plain, 787.01/100.38 (~ (((!!) @ (^[Y0 : a > a > $o]: 787.01/100.38 (((!!) @ (^[Y1 : a]: 787.01/100.38 (((!!) @ (^[Y2 : a]: 787.01/100.38 (((((!!) @ (^[Y3 : a > a > $o]: 787.01/100.38 (((((((!!) @ ( 787.01/100.38 ^[Y4 : a]: 787.01/100.38 (((!!) @ ( 787.01/100.38 ^[Y5 : a]: 787.01/100.38 (( 787.01/100.38 (Y0 @ 787.01/100.38 Y4 @ 787.01/100.38 Y5) => 787.01/100.38 (Y3 @ 787.01/100.38 Y4 @ Y5))))))))) & 787.01/100.38 (((!!) @ ( 787.01/100.38 ^[Y4 : a]: 787.01/100.38 (((!!) @ ( 787.01/100.38 ^[Y5 : a]: 787.01/100.38 (( 787.01/100.38 (Y3 @ 787.01/100.38 Y4 @ 787.01/100.38 Y5) => 787.01/100.38 (Y3 @ 787.01/100.38 Y5 @ Y4))))))))))) => 787.01/100.38 (Y3 @ Y1 @ Y2)))))) <=> 787.01/100.38 (((Y0 @ Y2 @ Y1) | (Y0 @ Y1 @ 787.01/100.38 Y2))))))))))))))), 787.01/100.38 inference('cnf', [status(esa)], [zf_stmt_0])). 787.01/100.38 thf(zip_derived_cl1, plain, 787.01/100.38 (~ (((!!) @ (^[Y0 : a]: 787.01/100.38 (((!!) @ (^[Y1 : a]: 787.01/100.38 (((((!!) @ (^[Y2 : a > a > $o]: 787.01/100.38 (((((((!!) @ (^[Y3 : a]: 787.01/100.38 (((!!) @ ( 787.01/100.38 ^[Y4 : a]: 787.01/100.38 ((('#sk1' @ 787.01/100.38 Y3 @ 787.01/100.38 Y4) => 787.01/100.38 (Y2 @ 787.01/100.38 Y3 @ Y4))))))))) & 787.01/100.38 (((!!) @ (^[Y3 : a]: 787.01/100.38 (((!!) @ ( 787.01/100.38 ^[Y4 : a]: 787.01/100.38 (((Y2 @ 787.01/100.38 Y3 @ 787.01/100.38 Y4) => 787.01/100.38 (Y2 @ 787.01/100.38 Y4 @ Y3))))))))))) => 787.01/100.38 (Y2 @ Y0 @ Y1)))))) <=> 787.01/100.38 ((('#sk1' @ Y1 @ Y0) | ('#sk1' @ Y0 @ Y1)))))))))))), 787.01/100.38 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl0])). 787.01/100.38 thf(zip_derived_cl2, plain, 787.01/100.38 (~ (((!!) @ (^[Y0 : a]: 787.01/100.38 (((((!!) @ (^[Y1 : a > a > $o]: 787.01/100.38 (((((((!!) @ (^[Y2 : a]: 787.01/100.38 (((!!) @ (^[Y3 : a]: 787.01/100.38 ((('#sk1' @ 787.01/100.38 Y2 @ Y3) => 787.01/100.38 (Y1 @ Y2 @ Y3))))))))) & 787.01/100.38 (((!!) @ (^[Y2 : a]: 787.01/100.38 (((!!) @ (^[Y3 : a]: 787.01/100.38 (((Y1 @ Y2 @ 787.01/100.38 Y3) => (Y1 @ 787.01/100.38 Y3 @ Y2))))))))))) => 787.01/100.38 (Y1 @ '#sk2' @ Y0)))))) <=> 787.01/100.38 ((('#sk1' @ Y0 @ '#sk2') | ('#sk1' @ '#sk2' @ Y0))))))))), 787.01/100.38 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl1])). 787.01/100.38 thf(zip_derived_cl3, plain, 787.01/100.38 (~ (((((!!) @ (^[Y0 : a > a > $o]: 787.01/100.38 (((((((!!) @ (^[Y1 : a]: 787.01/100.38 (((!!) @ (^[Y2 : a]: 787.01/100.38 ((('#sk1' @ Y1 @ Y2) => 787.01/100.38 (Y0 @ Y1 @ Y2))))))))) & 787.01/100.38 (((!!) @ (^[Y1 : a]: 787.01/100.38 (((!!) @ (^[Y2 : a]: 787.01/100.38 (((Y0 @ Y1 @ Y2) => (Y0 @ 787.01/100.38 Y2 @ Y1))))))))))) => 787.01/100.38 (Y0 @ '#sk2' @ '#sk3')))))) <=> 787.01/100.38 ((('#sk1' @ '#sk3' @ '#sk2') | ('#sk1' @ '#sk2' @ '#sk3')))))), 787.01/100.38 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl2])). 787.01/100.38 thf(zip_derived_cl4, plain, 787.01/100.38 (((((!!) @ (^[Y0 : a > a > $o]: 787.01/100.38 (((((((!!) @ (^[Y1 : a]: 787.01/100.38 (((!!) @ (^[Y2 : a]: 787.01/100.38 ((('#sk1' @ Y1 @ Y2) => (Y0 @ 787.01/100.38 Y1 @ Y2))))))))) & 787.01/100.38 (((!!) @ (^[Y1 : a]: 787.01/100.38 (((!!) @ (^[Y2 : a]: 787.01/100.38 (((Y0 @ Y1 @ Y2) => (Y0 @ Y2 @ 787.01/100.38 Y1))))))))))) => 787.01/100.38 (Y0 @ '#sk2' @ '#sk3')))))) 787.01/100.38 != ((('#sk1' @ '#sk3' @ '#sk2') | ('#sk1' @ '#sk2' @ '#sk3'))))), 787.01/100.38 inference('simplify nested equalities', [status(thm)], [zip_derived_cl3])). 787.01/100.38 thf(zip_derived_cl5, plain, 787.01/100.38 (( (((!!) @ (^[Y0 : a > a > $o]: 787.01/100.38 (((((((!!) @ (^[Y1 : a]: 787.01/100.38 (((!!) @ (^[Y2 : a]: 787.01/100.38 ((('#sk1' @ Y1 @ Y2) => (Y0 @ 787.01/100.38 Y1 @ Y2))))))))) & 787.01/100.38 (((!!) @ (^[Y1 : a]: 787.01/100.38 (((!!) @ (^[Y2 : a]: 787.01/100.38 (((Y0 @ Y1 @ Y2) => (Y0 @ 787.01/100.38 Y2 @ Y1))))))))))) => 787.01/100.38 (Y0 @ '#sk2' @ '#sk3')))))) 787.01/100.38 | ((('#sk1' @ '#sk3' @ '#sk2') | ('#sk1' @ '#sk2' @ '#sk3'))))), 787.01/100.38 inference('eq_elim', [status(thm)], [zip_derived_cl4])). 787.01/100.38 thf(zip_derived_cl8, plain, 787.01/100.38 (( (((!!) @ (^[Y0 : a > a > $o]: 787.01/100.38 (((((((!!) @ (^[Y1 : a]: 787.01/100.38 (((!!) @ (^[Y2 : a]: 787.01/100.38 ((('#sk1' @ Y1 @ Y2) => (Y0 @ 787.01/100.38 Y1 @ Y2))))))))) & 787.01/100.38 (((!!) @ (^[Y1 : a]: 787.01/100.38 (((!!) @ (^[Y2 : a]: 787.01/100.38 (((Y0 @ Y1 @ Y2) => (Y0 @ 787.01/100.38 Y2 @ Y1))))))))))) => 787.01/100.38 (Y0 @ '#sk2' @ '#sk3'))))))) 787.01/100.38 <= (( (((!!) @ (^[Y0 : a > a > $o]: 787.01/100.38 (((((((!!) @ (^[Y1 : a]: 787.01/100.38 (((!!) @ (^[Y2 : a]: 787.01/100.38 ((('#sk1' @ Y1 @ Y2) => 787.01/100.38 (Y0 @ Y1 @ Y2))))))))) & 787.01/100.38 (((!!) @ (^[Y1 : a]: 787.01/100.38 (((!!) @ (^[Y2 : a]: 787.01/100.38 (((Y0 @ Y1 @ Y2) => 787.01/100.38 (Y0 @ Y2 @ Y1))))))))))) => 787.01/100.38 (Y0 @ '#sk2' @ '#sk3'))))))))), 787.01/100.38 inference('split', [status(esa)], [zip_derived_cl5])). 787.01/100.38 thf(zip_derived_cl10, plain, 787.01/100.38 ((![X2 : a > a > $o]: 787.01/100.38 (((((((!!) @ (^[Y0 : a]: 787.01/100.38 (((!!) @ (^[Y1 : a]: 787.01/100.38 ((('#sk1' @ Y0 @ Y1) => (X2 @ Y0 @ Y1))))))))) & 787.01/100.38 (((!!) @ (^[Y0 : a]: 787.01/100.38 (((!!) @ (^[Y1 : a]: 787.01/100.38 (((X2 @ Y0 @ Y1) => (X2 @ Y1 @ Y0))))))))))) => 787.01/100.38 (X2 @ '#sk2' @ '#sk3')))) 787.01/100.38 <= (( (((!!) @ (^[Y0 : a > a > $o]: 787.01/100.38 (((((((!!) @ (^[Y1 : a]: 787.01/100.38 (((!!) @ (^[Y2 : a]: 787.01/100.38 ((('#sk1' @ Y1 @ Y2) => 787.01/100.38 (Y0 @ Y1 @ Y2))))))))) & 787.01/100.38 (((!!) @ (^[Y1 : a]: 787.01/100.38 (((!!) @ (^[Y2 : a]: 787.01/100.38 (((Y0 @ Y1 @ Y2) => 787.01/100.38 (Y0 @ Y2 @ Y1))))))))))) => 787.01/100.38 (Y0 @ '#sk2' @ '#sk3'))))))))), 787.01/100.38 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl8])). 787.01/100.38 thf(zip_derived_cl11, plain, 787.01/100.38 ((![X0 : a > a > $o, X1 : a > a > $o]: 787.01/100.38 (((((((!!) @ (^[Y0 : a]: 787.01/100.38 (((!!) @ (^[Y1 : a]: 787.01/100.38 ((('#sk1' @ Y0 @ Y1) => 787.01/100.38 (((X1 @ Y0 @ Y1) | (X0 @ Y0 @ Y1))))))))))) & 787.01/100.38 (((!!) @ (^[Y0 : a]: 787.01/100.38 (((!!) @ (^[Y1 : a]: 787.01/100.38 (((((X1 @ Y0 @ Y1) | (X0 @ Y0 @ Y1))) => 787.01/100.38 (((X1 @ Y1 @ Y0) | (X0 @ Y1 @ Y0))))))))))))) => 787.01/100.38 (((X1 @ '#sk2' @ '#sk3') | (X0 @ '#sk2' @ '#sk3')))))) 787.01/100.38 <= (( (((!!) @ (^[Y0 : a > a > $o]: 787.01/100.38 (((((((!!) @ (^[Y1 : a]: 787.01/100.38 (((!!) @ (^[Y2 : a]: 787.01/100.38 ((('#sk1' @ Y1 @ Y2) => 787.01/100.38 (Y0 @ Y1 @ Y2))))))))) & 787.01/100.38 (((!!) @ (^[Y1 : a]: 787.01/100.38 (((!!) @ (^[Y2 : a]: 787.01/100.38 (((Y0 @ Y1 @ Y2) => 787.01/100.38 (Y0 @ Y2 @ Y1))))))))))) => 787.01/100.38 (Y0 @ '#sk2' @ '#sk3'))))))))), 787.01/100.38 inference('ho.refine.early.bird', [status(thm)], [zip_derived_cl10])). 787.01/100.38 thf(zip_derived_cl54, plain, 787.01/100.38 ((![X0 : a > a > $o, X1 : a > a > $o]: 787.01/100.38 (~ (((((!!) @ (^[Y0 : a]: 787.01/100.38 (((!!) @ (^[Y1 : a]: 787.01/100.38 ((('#sk1' @ Y0 @ Y1) => 787.01/100.38 (((X1 @ Y0 @ Y1) | (X0 @ Y0 @ Y1))))))))))) & 787.01/100.38 (((!!) @ (^[Y0 : a]: 787.01/100.38 (((!!) @ (^[Y1 : a]: 787.01/100.38 (((((X1 @ Y0 @ Y1) | (X0 @ Y0 @ Y1))) => 787.01/100.38 (((X1 @ Y1 @ Y0) | (X0 @ Y1 @ Y0))))))))))))) 787.01/100.38 | (((X1 @ '#sk2' @ '#sk3') | (X0 @ '#sk2' @ '#sk3'))))) 787.01/100.38 <= (( (((!!) @ (^[Y0 : a > a > $o]: 787.01/100.38 (((((((!!) @ (^[Y1 : a]: 787.01/100.38 (((!!) @ (^[Y2 : a]: 787.01/100.38 ((('#sk1' @ Y1 @ Y2) => 787.01/100.38 (Y0 @ Y1 @ Y2))))))))) & 787.01/100.38 (((!!) @ (^[Y1 : a]: 787.01/100.38 (((!!) @ (^[Y2 : a]: 787.01/100.38 (((Y0 @ Y1 @ Y2) => 787.01/100.38 (Y0 @ Y2 @ Y1))))))))))) => 787.01/100.38 (Y0 @ '#sk2' @ '#sk3'))))))))), 787.01/100.38 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl11])). 787.01/100.38 thf(zip_derived_cl55, plain, 787.01/100.38 ((![X0 : a > a > $o, X1 : a > a > $o]: 787.01/100.38 (~ (((!!) @ (^[Y0 : a]: 787.01/100.38 (((!!) @ (^[Y1 : a]: 787.01/100.38 ((('#sk1' @ Y0 @ Y1) => 787.01/100.38 (((X1 @ Y0 @ Y1) | (X0 @ Y0 @ Y1))))))))))) 787.01/100.38 | ~ (((!!) @ (^[Y0 : a]: 787.01/100.38 (((!!) @ (^[Y1 : a]: 787.01/100.38 (((((X1 @ Y0 @ Y1) | (X0 @ Y0 @ Y1))) => 787.01/100.38 (((X1 @ Y1 @ Y0) | (X0 @ Y1 @ Y0))))))))))) 787.01/100.38 | (((X1 @ '#sk2' @ '#sk3') | (X0 @ '#sk2' @ '#sk3'))))) 787.01/100.38 <= (( (((!!) @ (^[Y0 : a > a > $o]: 787.01/100.38 (((((((!!) @ (^[Y1 : a]: 787.01/100.38 (((!!) @ (^[Y2 : a]: 787.01/100.38 ((('#sk1' @ Y1 @ Y2) => 787.01/100.38 (Y0 @ Y1 @ Y2))))))))) & 787.01/100.38 (((!!) @ (^[Y1 : a]: 787.01/100.38 (((!!) @ (^[Y2 : a]: 787.01/100.38 (((Y0 @ Y1 @ Y2) => 787.01/100.38 (Y0 @ Y2 @ Y1))))))))))) => 787.01/100.38 (Y0 @ '#sk2' @ '#sk3'))))))))), 787.01/100.38 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl54])). 787.01/100.38 thf(zip_derived_cl56, plain, 787.01/100.38 ((![X0 : a > a > $o, X1 : a > a > $o]: 787.01/100.38 (~ (((!!) @ (^[Y0 : a]: 787.01/100.38 ((('#sk1' @ ('#sk178' @ X0 @ X1) @ Y0) => 787.01/100.38 (((X1 @ ('#sk178' @ X0 @ X1) @ Y0) | (X0 @ 787.01/100.38 ('#sk178' @ X0 @ X1) @ Y0)))))))) 787.01/100.38 | (((X1 @ '#sk2' @ '#sk3') | (X0 @ '#sk2' @ '#sk3'))) 787.01/100.38 | ~ (((!!) @ (^[Y0 : a]: 787.01/100.38 (((!!) @ (^[Y1 : a]: 787.01/100.38 (((((X1 @ Y0 @ Y1) | (X0 @ Y0 @ Y1))) => 787.01/100.38 (((X1 @ Y1 @ Y0) | (X0 @ Y1 @ Y0))))))))))))) 787.01/100.38 <= (( (((!!) @ (^[Y0 : a > a > $o]: 787.01/100.38 (((((((!!) @ (^[Y1 : a]: 787.01/100.38 (((!!) @ (^[Y2 : a]: 787.01/100.38 ((('#sk1' @ Y1 @ Y2) => 787.01/100.38 (Y0 @ Y1 @ Y2))))))))) & 787.01/100.38 (((!!) @ (^[Y1 : a]: 787.01/100.38 (((!!) @ (^[Y2 : a]: 787.01/100.38 (((Y0 @ Y1 @ Y2) => 787.01/100.38 (Y0 @ Y2 @ Y1))))))))))) => 787.01/100.38 (Y0 @ '#sk2' @ '#sk3'))))))))), 787.01/100.38 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl55])). 787.01/100.38 thf(zip_derived_cl57, plain, 787.01/100.38 ((![X0 : a > a > $o, X1 : a > a > $o]: 787.01/100.38 (~ ((('#sk1' @ ('#sk178' @ X0 @ X1) @ ('#sk201' @ X0 @ X1)) => 787.01/100.38 (((X1 @ ('#sk178' @ X0 @ X1) @ ('#sk201' @ X0 @ X1)) | (X0 @ 787.01/100.38 ('#sk178' @ X0 @ X1) @ ('#sk201' @ X0 @ X1)))))) 787.01/100.38 | ~ (((!!) @ (^[Y0 : a]: 787.01/100.38 (((!!) @ (^[Y1 : a]: 787.01/100.38 (((((X1 @ Y0 @ Y1) | (X0 @ Y0 @ Y1))) => 787.01/100.38 (((X1 @ Y1 @ Y0) | (X0 @ Y1 @ Y0))))))))))) 787.01/100.38 | (((X1 @ '#sk2' @ '#sk3') | (X0 @ '#sk2' @ '#sk3'))))) 787.01/100.38 <= (( (((!!) @ (^[Y0 : a > a > $o]: 787.01/100.38 (((((((!!) @ (^[Y1 : a]: 787.01/100.38 (((!!) @ (^[Y2 : a]: 787.01/100.38 ((('#sk1' @ Y1 @ Y2) => 787.01/100.38 (Y0 @ Y1 @ Y2))))))))) & 787.01/100.38 (((!!) @ (^[Y1 : a]: 787.01/100.38 (((!!) @ (^[Y2 : a]: 787.01/100.38 (((Y0 @ Y1 @ Y2) => 787.01/100.38 (Y0 @ Y2 @ Y1))))))))))) => 787.01/100.38 (Y0 @ '#sk2' @ '#sk3'))))))))), 787.01/100.38 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl56])). 787.01/100.38 thf(zip_derived_cl58, plain, 787.01/100.38 ((![X0 : a > a > $o, X1 : a > a > $o]: 787.01/100.38 ( ('#sk1' @ ('#sk178' @ X0 @ X1) @ ('#sk201' @ X0 @ X1)) 787.01/100.38 | (((X1 @ '#sk2' @ '#sk3') | (X0 @ '#sk2' @ '#sk3'))) 787.01/100.38 | ~ (((!!) @ (^[Y0 : a]: 787.01/100.38 (((!!) @ (^[Y1 : a]: 787.01/100.38 (((((X1 @ Y0 @ Y1) | (X0 @ Y0 @ Y1))) => 787.01/100.38 (((X1 @ Y1 @ Y0) | (X0 @ Y1 @ Y0))))))))))))) 787.01/100.38 <= (( (((!!) @ (^[Y0 : a > a > $o]: 787.01/100.38 (((((((!!) @ (^[Y1 : a]: 787.01/100.38 (((!!) @ (^[Y2 : a]: 787.01/100.38 ((('#sk1' @ Y1 @ Y2) => 787.01/100.38 (Y0 @ Y1 @ Y2))))))))) & 787.01/100.38 (((!!) @ (^[Y1 : a]: 787.01/100.38 (((!!) @ (^[Y2 : a]: 787.01/100.38 (((Y0 @ Y1 @ Y2) => 787.01/100.38 (Y0 @ Y2 @ Y1))))))))))) => 787.01/100.38 (Y0 @ '#sk2' @ '#sk3'))))))))), 787.01/100.38 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl57])). 787.01/100.38 thf(zip_derived_cl60, plain, 787.01/100.38 ((![X0 : a > a > $o, X1 : a > a > $o]: 787.01/100.38 ( (X1 @ '#sk2' @ '#sk3') 787.01/100.38 | (X0 @ '#sk2' @ '#sk3') 787.01/100.38 | ~ (((!!) @ (^[Y0 : a]: 787.01/100.38 (((!!) @ (^[Y1 : a]: 787.01/100.38 (((((X1 @ Y0 @ Y1) | (X0 @ Y0 @ Y1))) => 787.01/100.38 (((X1 @ Y1 @ Y0) | (X0 @ Y1 @ Y0))))))))))) 787.01/100.38 | ('#sk1' @ ('#sk178' @ X0 @ X1) @ ('#sk201' @ X0 @ X1)))) 787.01/100.38 <= (( (((!!) @ (^[Y0 : a > a > $o]: 787.01/100.38 (((((((!!) @ (^[Y1 : a]: 787.01/100.38 (((!!) @ (^[Y2 : a]: 787.01/100.38 ((('#sk1' @ Y1 @ Y2) => 787.01/100.38 (Y0 @ Y1 @ Y2))))))))) & 787.01/100.38 (((!!) @ (^[Y1 : a]: 787.01/100.38 (((!!) @ (^[Y2 : a]: 787.01/100.38 (((Y0 @ Y1 @ Y2) => 787.01/100.38 (Y0 @ Y2 @ Y1))))))))))) => 787.01/100.38 (Y0 @ '#sk2' @ '#sk3'))))))))), 787.01/100.38 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl58])). 787.01/100.38 thf(zip_derived_cl63, plain, 787.01/100.38 ((![X0 : a > a > $o, X1 : a > a > $o]: 787.01/100.38 (~ (((!!) @ (^[Y0 : a]: 787.01/100.38 (((((X1 @ ('#sk290' @ X0 @ X1) @ Y0) | (X0 @ 787.01/100.38 ('#sk290' @ X0 @ X1) @ Y0))) => 787.01/100.38 (((X1 @ Y0 @ ('#sk290' @ X0 @ X1)) | (X0 @ Y0 @ 787.01/100.38 ('#sk290' @ X0 @ X1))))))))) 787.01/100.38 | ('#sk1' @ ('#sk178' @ X0 @ X1) @ ('#sk201' @ X0 @ X1)) 787.01/100.38 | (X0 @ '#sk2' @ '#sk3') 787.01/100.38 | (X1 @ '#sk2' @ '#sk3'))) 787.01/100.38 <= (( (((!!) @ (^[Y0 : a > a > $o]: 787.01/100.38 (((((((!!) @ (^[Y1 : a]: 787.01/100.38 (((!!) @ (^[Y2 : a]: 787.01/100.38 ((('#sk1' @ Y1 @ Y2) => 787.01/100.38 (Y0 @ Y1 @ Y2))))))))) & 787.01/100.38 (((!!) @ (^[Y1 : a]: 787.01/100.38 (((!!) @ (^[Y2 : a]: 787.01/100.38 (((Y0 @ Y1 @ Y2) => 787.01/100.38 (Y0 @ Y2 @ Y1))))))))))) => 787.01/100.38 (Y0 @ '#sk2' @ '#sk3'))))))))), 787.01/100.38 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl60])). 787.01/100.38 thf(zip_derived_cl66, plain, 787.01/100.38 ((![X0 : a > a > $o, X1 : a > a > $o]: 787.01/100.38 (~ (((((X1 @ ('#sk290' @ X0 @ X1) @ ('#sk351' @ X0 @ X1)) | (X0 @ 787.01/100.38 ('#sk290' @ X0 @ X1) @ ('#sk351' @ X0 @ X1)))) => 787.01/100.38 (((X1 @ ('#sk351' @ X0 @ X1) @ ('#sk290' @ X0 @ X1)) | (X0 @ 787.01/100.38 ('#sk351' @ X0 @ X1) @ ('#sk290' @ X0 @ X1)))))) 787.01/100.38 | (X1 @ '#sk2' @ '#sk3') 787.01/100.38 | (X0 @ '#sk2' @ '#sk3') 787.01/100.38 | ('#sk1' @ ('#sk178' @ X0 @ X1) @ ('#sk201' @ X0 @ X1)))) 787.01/100.38 <= (( (((!!) @ (^[Y0 : a > a > $o]: 787.01/100.38 (((((((!!) @ (^[Y1 : a]: 787.01/100.38 (((!!) @ (^[Y2 : a]: 787.01/100.38 ((('#sk1' @ Y1 @ Y2) => 787.01/100.38 (Y0 @ Y1 @ Y2))))))))) & 787.01/100.38 (((!!) @ (^[Y1 : a]: 787.01/100.38 (((!!) @ (^[Y2 : a]: 787.01/100.38 (((Y0 @ Y1 @ Y2) => 787.01/100.38 (Y0 @ Y2 @ Y1))))))))))) => 787.01/100.38 (Y0 @ '#sk2' @ '#sk3'))))))))), 787.01/100.38 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl63])). 787.01/100.38 thf(zip_derived_cl70, plain, 787.01/100.38 ((![X0 : a > a > $o, X1 : a > a > $o]: 787.01/100.38 (~ (((X1 @ ('#sk351' @ X0 @ X1) @ ('#sk290' @ X0 @ X1)) | (X0 @ 787.01/100.38 ('#sk351' @ X0 @ X1) @ ('#sk290' @ X0 @ X1)))) 787.01/100.38 | ('#sk1' @ ('#sk178' @ X0 @ X1) @ ('#sk201' @ X0 @ X1)) 787.01/100.38 | (X0 @ '#sk2' @ '#sk3') 787.01/100.38 | (X1 @ '#sk2' @ '#sk3'))) 787.01/100.38 <= (( (((!!) @ (^[Y0 : a > a > $o]: 787.01/100.38 (((((((!!) @ (^[Y1 : a]: 787.01/100.38 (((!!) @ (^[Y2 : a]: 787.01/100.38 ((('#sk1' @ Y1 @ Y2) => 787.01/100.38 (Y0 @ Y1 @ Y2))))))))) & 787.01/100.38 (((!!) @ (^[Y1 : a]: 787.01/100.38 (((!!) @ (^[Y2 : a]: 787.01/100.38 (((Y0 @ Y1 @ Y2) => 787.01/100.38 (Y0 @ Y2 @ Y1))))))))))) => 787.01/100.38 (Y0 @ '#sk2' @ '#sk3'))))))))), 787.01/100.38 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl66])). 787.01/100.38 thf(zip_derived_cl77, plain, 787.01/100.38 ((![X0 : a > a > $o, X1 : a > a > $o]: 787.01/100.38 (~ (X0 @ ('#sk351' @ X0 @ X1) @ ('#sk290' @ X0 @ X1)) 787.01/100.38 | (X1 @ '#sk2' @ '#sk3') 787.01/100.38 | (X0 @ '#sk2' @ '#sk3') 787.01/100.38 | ('#sk1' @ ('#sk178' @ X0 @ X1) @ ('#sk201' @ X0 @ X1)))) 787.01/100.38 <= (( (((!!) @ (^[Y0 : a > a > $o]: 787.01/100.38 (((((((!!) @ (^[Y1 : a]: 787.01/100.38 (((!!) @ (^[Y2 : a]: 787.01/100.38 ((('#sk1' @ Y1 @ Y2) => 787.01/100.38 (Y0 @ Y1 @ Y2))))))))) & 787.01/100.38 (((!!) @ (^[Y1 : a]: 787.01/100.38 (((!!) @ (^[Y2 : a]: 787.01/100.38 (((Y0 @ Y1 @ Y2) => 787.01/100.38 (Y0 @ Y2 @ Y1))))))))))) => 787.01/100.38 (Y0 @ '#sk2' @ '#sk3'))))))))), 787.01/100.38 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl70])). 787.01/100.38 thf(zip_derived_cl7, plain, 787.01/100.38 (( ((('#sk1' @ '#sk3' @ '#sk2') | ('#sk1' @ '#sk2' @ '#sk3')))) 787.01/100.38 <= (( ((('#sk1' @ '#sk3' @ '#sk2') | ('#sk1' @ '#sk2' @ '#sk3')))))), 787.01/100.38 inference('split', [status(esa)], [zip_derived_cl5])). 787.01/100.38 thf(zip_derived_cl9, plain, 787.01/100.38 ((( ('#sk1' @ '#sk3' @ '#sk2') | ('#sk1' @ '#sk2' @ '#sk3'))) 787.01/100.38 <= (( ((('#sk1' @ '#sk3' @ '#sk2') | ('#sk1' @ '#sk2' @ '#sk3')))))), 787.01/100.38 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl7])). 787.01/100.38 thf('0', plain, 787.01/100.38 (~ ( ((('#sk1' @ '#sk3' @ '#sk2') | ('#sk1' @ '#sk2' @ '#sk3')))) | 787.01/100.38 ( ('#sk1' @ '#sk3' @ '#sk2')) | ( ('#sk1' @ '#sk2' @ '#sk3'))), 787.01/100.38 inference('split', [status(esa)], [zip_derived_cl9])). 787.01/100.38 thf(zip_derived_cl14, plain, 787.01/100.38 (( ('#sk1' @ '#sk2' @ '#sk3')) <= (( ('#sk1' @ '#sk2' @ '#sk3')))), 787.01/100.38 inference('split', [status(esa)], [zip_derived_cl9])). 787.01/100.38 thf(zip_derived_cl4, plain, 787.01/100.38 (((((!!) @ (^[Y0 : a > a > $o]: 787.01/100.38 (((((((!!) @ (^[Y1 : a]: 787.01/100.38 (((!!) @ (^[Y2 : a]: 787.01/100.38 ((('#sk1' @ Y1 @ Y2) => (Y0 @ 787.01/100.38 Y1 @ Y2))))))))) & 787.01/100.38 (((!!) @ (^[Y1 : a]: 787.01/100.38 (((!!) @ (^[Y2 : a]: 787.01/100.38 (((Y0 @ Y1 @ Y2) => (Y0 @ Y2 @ 787.01/100.38 Y1))))))))))) => 787.01/100.38 (Y0 @ '#sk2' @ '#sk3')))))) 787.01/100.38 != ((('#sk1' @ '#sk3' @ '#sk2') | ('#sk1' @ '#sk2' @ '#sk3'))))), 787.01/100.38 inference('simplify nested equalities', [status(thm)], [zip_derived_cl3])). 787.01/100.38 thf(zip_derived_cl6, plain, 787.01/100.38 ((~ (((!!) @ (^[Y0 : a > a > $o]: 787.01/100.38 (((((((!!) @ (^[Y1 : a]: 787.01/100.38 (((!!) @ (^[Y2 : a]: 787.01/100.38 ((('#sk1' @ Y1 @ Y2) => 787.01/100.38 (Y0 @ Y1 @ Y2))))))))) & 787.01/100.38 (((!!) @ (^[Y1 : a]: 787.01/100.38 (((!!) @ (^[Y2 : a]: 787.01/100.38 (((Y0 @ Y1 @ Y2) => (Y0 @ 787.01/100.38 Y2 @ Y1))))))))))) => 787.01/100.38 (Y0 @ '#sk2' @ '#sk3')))))) 787.01/100.38 | ~ ((('#sk1' @ '#sk3' @ '#sk2') | ('#sk1' @ '#sk2' @ '#sk3'))))), 787.01/100.38 inference('eq_elim', [status(thm)], [zip_derived_cl4])). 787.01/100.38 thf(zip_derived_cl36, plain, 787.01/100.38 ((~ (((!!) @ (^[Y0 : a > a > $o]: 787.01/100.38 (((((((!!) @ (^[Y1 : a]: 787.01/100.38 (((!!) @ (^[Y2 : a]: 787.01/100.38 ((('#sk1' @ Y1 @ Y2) => 787.01/100.38 (Y0 @ Y1 @ Y2))))))))) & 787.01/100.38 (((!!) @ (^[Y1 : a]: 787.01/100.38 (((!!) @ (^[Y2 : a]: 787.01/100.38 (((Y0 @ Y1 @ Y2) => (Y0 @ 787.01/100.38 Y2 @ Y1))))))))))) => 787.01/100.38 (Y0 @ '#sk2' @ '#sk3'))))))) 787.01/100.38 <= (~ 787.01/100.38 ( (((!!) @ (^[Y0 : a > a > $o]: 787.01/100.38 (((((((!!) @ (^[Y1 : a]: 787.01/100.38 (((!!) @ (^[Y2 : a]: 787.01/100.38 ((('#sk1' @ Y1 @ Y2) => 787.01/100.38 (Y0 @ Y1 @ Y2))))))))) & 787.01/100.38 (((!!) @ (^[Y1 : a]: 787.01/100.38 (((!!) @ (^[Y2 : a]: 787.01/100.38 (((Y0 @ Y1 @ Y2) => 787.01/100.38 (Y0 @ Y2 @ Y1))))))))))) => 787.01/100.38 (Y0 @ '#sk2' @ '#sk3'))))))))), 787.01/100.38 inference('split', [status(esa)], [zip_derived_cl6])). 787.01/100.38 thf(zip_derived_cl39, plain, 787.01/100.38 ((~ (((((((!!) @ (^[Y0 : a]: 787.01/100.38 (((!!) @ (^[Y1 : a]: 787.01/100.38 ((('#sk1' @ Y0 @ Y1) => ('#sk141' @ Y0 @ 787.01/100.38 Y1))))))))) & 787.01/100.38 (((!!) @ (^[Y0 : a]: 787.01/100.38 (((!!) @ (^[Y1 : a]: 787.01/100.38 ((('#sk141' @ Y0 @ Y1) => ('#sk141' @ 787.01/100.38 Y1 @ Y0))))))))))) => 787.01/100.38 ('#sk141' @ '#sk2' @ '#sk3')))) 787.01/100.38 <= (~ 787.01/100.38 ( (((!!) @ (^[Y0 : a > a > $o]: 787.01/100.38 (((((((!!) @ (^[Y1 : a]: 787.01/100.38 (((!!) @ (^[Y2 : a]: 787.01/100.38 ((('#sk1' @ Y1 @ Y2) => 787.01/100.38 (Y0 @ Y1 @ Y2))))))))) & 787.01/100.38 (((!!) @ (^[Y1 : a]: 787.01/100.38 (((!!) @ (^[Y2 : a]: 787.01/100.38 (((Y0 @ Y1 @ Y2) => 787.01/100.38 (Y0 @ Y2 @ Y1))))))))))) => 787.01/100.38 (Y0 @ '#sk2' @ '#sk3'))))))))), 787.01/100.38 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl36])). 787.01/100.38 thf(zip_derived_cl40, plain, 787.01/100.38 (( (((((!!) @ (^[Y0 : a]: 787.01/100.38 (((!!) @ (^[Y1 : a]: 787.01/100.38 ((('#sk1' @ Y0 @ Y1) => ('#sk141' @ Y0 @ Y1))))))))) & 787.01/100.38 (((!!) @ (^[Y0 : a]: 787.01/100.38 (((!!) @ (^[Y1 : a]: 787.01/100.38 ((('#sk141' @ Y0 @ Y1) => ('#sk141' @ Y1 @ 787.01/100.38 Y0)))))))))))) 787.01/100.38 <= (~ 787.01/100.38 ( (((!!) @ (^[Y0 : a > a > $o]: 787.01/100.38 (((((((!!) @ (^[Y1 : a]: 787.01/100.38 (((!!) @ (^[Y2 : a]: 787.01/100.38 ((('#sk1' @ Y1 @ Y2) => 787.01/100.38 (Y0 @ Y1 @ Y2))))))))) & 787.01/100.38 (((!!) @ (^[Y1 : a]: 787.01/100.38 (((!!) @ (^[Y2 : a]: 787.01/100.38 (((Y0 @ Y1 @ Y2) => 787.01/100.38 (Y0 @ Y2 @ Y1))))))))))) => 787.01/100.38 (Y0 @ '#sk2' @ '#sk3'))))))))), 787.01/100.38 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl39])). 787.01/100.38 thf(zip_derived_cl42, plain, 787.01/100.38 (( (((!!) @ (^[Y0 : a]: 787.01/100.38 (((!!) @ (^[Y1 : a]: 787.01/100.38 ((('#sk1' @ Y0 @ Y1) => ('#sk141' @ Y0 @ Y1)))))))))) 787.01/100.38 <= (~ 787.01/100.38 ( (((!!) @ (^[Y0 : a > a > $o]: 787.01/100.38 (((((((!!) @ (^[Y1 : a]: 787.01/100.38 (((!!) @ (^[Y2 : a]: 787.01/100.38 ((('#sk1' @ Y1 @ Y2) => 787.01/100.38 (Y0 @ Y1 @ Y2))))))))) & 787.01/100.38 (((!!) @ (^[Y1 : a]: 787.01/100.38 (((!!) @ (^[Y2 : a]: 787.01/100.38 (((Y0 @ Y1 @ Y2) => 787.01/100.38 (Y0 @ Y2 @ Y1))))))))))) => 787.01/100.38 (Y0 @ '#sk2' @ '#sk3'))))))))), 787.01/100.38 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl40])). 787.01/100.38 thf(zip_derived_cl44, plain, 787.01/100.38 ((![X2 : a]: 787.01/100.38 (((!!) @ (^[Y0 : a]: ((('#sk1' @ X2 @ Y0) => ('#sk141' @ X2 @ Y0))))))) 787.01/100.38 <= (~ 787.01/100.38 ( (((!!) @ (^[Y0 : a > a > $o]: 787.01/100.38 (((((((!!) @ (^[Y1 : a]: 787.01/100.38 (((!!) @ (^[Y2 : a]: 787.01/100.38 ((('#sk1' @ Y1 @ Y2) => 787.01/100.38 (Y0 @ Y1 @ Y2))))))))) & 787.01/100.38 (((!!) @ (^[Y1 : a]: 787.01/100.38 (((!!) @ (^[Y2 : a]: 787.01/100.38 (((Y0 @ Y1 @ Y2) => 787.01/100.38 (Y0 @ Y2 @ Y1))))))))))) => 787.01/100.38 (Y0 @ '#sk2' @ '#sk3'))))))))), 787.01/100.38 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl42])). 787.01/100.38 thf(zip_derived_cl46, plain, 787.01/100.38 ((![X2 : a, X4 : a]: ((('#sk1' @ X2 @ X4) => ('#sk141' @ X2 @ X4)))) 787.01/100.38 <= (~ 787.01/100.38 ( (((!!) @ (^[Y0 : a > a > $o]: 787.01/100.38 (((((((!!) @ (^[Y1 : a]: 787.01/100.38 (((!!) @ (^[Y2 : a]: 787.01/100.38 ((('#sk1' @ Y1 @ Y2) => 787.01/100.38 (Y0 @ Y1 @ Y2))))))))) & 787.01/100.38 (((!!) @ (^[Y1 : a]: 787.01/100.38 (((!!) @ (^[Y2 : a]: 787.01/100.38 (((Y0 @ Y1 @ Y2) => 787.01/100.38 (Y0 @ Y2 @ Y1))))))))))) => 787.01/100.38 (Y0 @ '#sk2' @ '#sk3'))))))))), 787.01/100.38 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl44])). 787.01/100.38 thf(zip_derived_cl48, plain, 787.01/100.38 ((![X2 : a, X4 : a]: (~ ('#sk1' @ X2 @ X4) | ('#sk141' @ X2 @ X4))) 787.01/100.38 <= (~ 787.01/100.38 ( (((!!) @ (^[Y0 : a > a > $o]: 787.01/100.38 (((((((!!) @ (^[Y1 : a]: 787.01/100.38 (((!!) @ (^[Y2 : a]: 787.01/100.38 ((('#sk1' @ Y1 @ Y2) => 787.01/100.38 (Y0 @ Y1 @ Y2))))))))) & 787.01/100.38 (((!!) @ (^[Y1 : a]: 787.01/100.38 (((!!) @ (^[Y2 : a]: 787.01/100.38 (((Y0 @ Y1 @ Y2) => 787.01/100.38 (Y0 @ Y2 @ Y1))))))))))) => 787.01/100.38 (Y0 @ '#sk2' @ '#sk3'))))))))), 787.01/100.38 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl46])). 787.01/100.38 thf(zip_derived_cl366, plain, 787.01/100.38 (( ('#sk141' @ '#sk2' @ '#sk3')) 787.01/100.38 <= (~ 787.01/100.38 ( (((!!) @ (^[Y0 : a > a > $o]: 787.01/100.38 (((((((!!) @ (^[Y1 : a]: 787.01/100.38 (((!!) @ (^[Y2 : a]: 787.01/100.38 ((('#sk1' @ Y1 @ Y2) => 787.01/100.38 (Y0 @ Y1 @ Y2))))))))) & 787.01/100.38 (((!!) @ (^[Y1 : a]: 787.01/100.38 (((!!) @ (^[Y2 : a]: 787.01/100.38 (((Y0 @ Y1 @ Y2) => 787.01/100.38 (Y0 @ Y2 @ Y1))))))))))) => 787.01/100.38 (Y0 @ '#sk2' @ '#sk3'))))))) & 787.01/100.38 ( ('#sk1' @ '#sk2' @ '#sk3')))), 787.01/100.38 inference('sup-', [status(thm)], [zip_derived_cl14, zip_derived_cl48])). 787.01/100.38 thf(zip_derived_cl41, plain, 787.01/100.38 ((~ ('#sk141' @ '#sk2' @ '#sk3')) 787.01/100.38 <= (~ 787.01/100.38 ( (((!!) @ (^[Y0 : a > a > $o]: 787.01/100.38 (((((((!!) @ (^[Y1 : a]: 787.01/100.38 (((!!) @ (^[Y2 : a]: 787.01/100.38 ((('#sk1' @ Y1 @ Y2) => 787.01/100.38 (Y0 @ Y1 @ Y2))))))))) & 787.01/100.38 (((!!) @ (^[Y1 : a]: 787.01/100.38 (((!!) @ (^[Y2 : a]: 787.01/100.38 (((Y0 @ Y1 @ Y2) => 787.01/100.38 (Y0 @ Y2 @ Y1))))))))))) => 787.01/100.38 (Y0 @ '#sk2' @ '#sk3'))))))))), 787.01/100.38 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl39])). 787.01/100.38 thf('1', plain, 787.01/100.38 (~ ( ('#sk1' @ '#sk2' @ '#sk3')) | 787.01/100.38 ( (((!!) @ (^[Y0 : a > a > $o]: 787.01/100.38 (((((((!!) @ (^[Y1 : a]: 787.01/100.38 (((!!) @ (^[Y2 : a]: 787.01/100.38 ((('#sk1' @ Y1 @ Y2) => (Y0 @ 787.01/100.38 Y1 @ Y2))))))))) & 787.01/100.38 (((!!) @ (^[Y1 : a]: 787.01/100.38 (((!!) @ (^[Y2 : a]: 787.01/100.38 (((Y0 @ Y1 @ Y2) => (Y0 @ 787.01/100.38 Y2 @ Y1))))))))))) => 787.01/100.38 (Y0 @ '#sk2' @ '#sk3')))))))), 787.01/100.38 inference('sup-', [status(thm)], [zip_derived_cl366, zip_derived_cl41])). 787.01/100.38 thf(zip_derived_cl35, plain, 787.01/100.38 ((~ ((('#sk1' @ '#sk3' @ '#sk2') | ('#sk1' @ '#sk2' @ '#sk3')))) 787.01/100.38 <= (~ ( ((('#sk1' @ '#sk3' @ '#sk2') | ('#sk1' @ '#sk2' @ '#sk3')))))), 787.01/100.38 inference('split', [status(esa)], [zip_derived_cl6])). 787.01/100.38 thf(zip_derived_cl38, plain, 787.01/100.38 ((~ ('#sk1' @ '#sk2' @ '#sk3')) 787.01/100.38 <= (~ ( ((('#sk1' @ '#sk3' @ '#sk2') | ('#sk1' @ '#sk2' @ '#sk3')))))), 787.01/100.38 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl35])). 787.01/100.38 thf(zip_derived_cl14, plain, 787.01/100.38 (( ('#sk1' @ '#sk2' @ '#sk3')) <= (( ('#sk1' @ '#sk2' @ '#sk3')))), 787.01/100.38 inference('split', [status(esa)], [zip_derived_cl9])). 787.01/100.38 thf('2', plain, 787.01/100.38 (~ ( ('#sk1' @ '#sk2' @ '#sk3')) | 787.01/100.38 ( ((('#sk1' @ '#sk3' @ '#sk2') | ('#sk1' @ '#sk2' @ '#sk3'))))), 787.01/100.38 inference('sup+', [status(thm)], [zip_derived_cl38, zip_derived_cl14])). 787.01/100.38 thf('3', plain, 787.01/100.38 (~ ( ((('#sk1' @ '#sk3' @ '#sk2') | ('#sk1' @ '#sk2' @ '#sk3')))) | 787.01/100.38 ~ 787.01/100.38 ( (((!!) @ (^[Y0 : a > a > $o]: 787.01/100.38 (((((((!!) @ (^[Y1 : a]: 787.01/100.38 (((!!) @ (^[Y2 : a]: 787.01/100.38 ((('#sk1' @ Y1 @ Y2) => (Y0 @ 787.01/100.38 Y1 @ Y2))))))))) & 787.01/100.38 (((!!) @ (^[Y1 : a]: 787.01/100.38 (((!!) @ (^[Y2 : a]: 787.01/100.38 (((Y0 @ Y1 @ Y2) => (Y0 @ 787.01/100.38 Y2 @ Y1))))))))))) => 787.01/100.38 (Y0 @ '#sk2' @ '#sk3')))))))), 787.01/100.38 inference('split', [status(esa)], [zip_derived_cl6])). 787.01/100.38 thf(zip_derived_cl15, plain, 787.01/100.38 (( ('#sk1' @ '#sk3' @ '#sk2')) <= (( ('#sk1' @ '#sk3' @ '#sk2')))), 787.01/100.38 inference('split', [status(esa)], [zip_derived_cl9])). 787.01/100.38 thf(zip_derived_cl48, plain, 787.01/100.38 ((![X2 : a, X4 : a]: (~ ('#sk1' @ X2 @ X4) | ('#sk141' @ X2 @ X4))) 787.01/100.38 <= (~ 787.01/100.38 ( (((!!) @ (^[Y0 : a > a > $o]: 787.01/100.38 (((((((!!) @ (^[Y1 : a]: 787.01/100.38 (((!!) @ (^[Y2 : a]: 787.01/100.38 ((('#sk1' @ Y1 @ Y2) => 787.01/100.38 (Y0 @ Y1 @ Y2))))))))) & 787.01/100.38 (((!!) @ (^[Y1 : a]: 787.01/100.38 (((!!) @ (^[Y2 : a]: 787.01/100.38 (((Y0 @ Y1 @ Y2) => 787.01/100.38 (Y0 @ Y2 @ Y1))))))))))) => 787.01/100.38 (Y0 @ '#sk2' @ '#sk3'))))))))), 787.01/100.38 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl46])). 787.01/100.38 thf(zip_derived_cl365, plain, 787.01/100.38 (( ('#sk141' @ '#sk3' @ '#sk2')) 787.01/100.38 <= (~ 787.01/100.38 ( (((!!) @ (^[Y0 : a > a > $o]: 787.01/100.38 (((((((!!) @ (^[Y1 : a]: 787.01/100.38 (((!!) @ (^[Y2 : a]: 787.01/100.38 ((('#sk1' @ Y1 @ Y2) => 787.01/100.38 (Y0 @ Y1 @ Y2))))))))) & 787.01/100.38 (((!!) @ (^[Y1 : a]: 787.01/100.38 (((!!) @ (^[Y2 : a]: 787.01/100.38 (((Y0 @ Y1 @ Y2) => 787.01/100.38 (Y0 @ Y2 @ Y1))))))))))) => 787.01/100.38 (Y0 @ '#sk2' @ '#sk3'))))))) & 787.01/100.38 ( ('#sk1' @ '#sk3' @ '#sk2')))), 787.01/100.38 inference('sup-', [status(thm)], [zip_derived_cl15, zip_derived_cl48])). 787.01/100.38 thf(zip_derived_cl43, plain, 787.01/100.38 (( (((!!) @ (^[Y0 : a]: 787.01/100.38 (((!!) @ (^[Y1 : a]: 787.01/100.38 ((('#sk141' @ Y0 @ Y1) => ('#sk141' @ Y1 @ Y0)))))))))) 787.01/100.38 <= (~ 787.01/100.38 ( (((!!) @ (^[Y0 : a > a > $o]: 787.01/100.38 (((((((!!) @ (^[Y1 : a]: 787.01/100.38 (((!!) @ (^[Y2 : a]: 787.01/100.38 ((('#sk1' @ Y1 @ Y2) => 787.01/100.38 (Y0 @ Y1 @ Y2))))))))) & 787.01/100.38 (((!!) @ (^[Y1 : a]: 787.01/100.38 (((!!) @ (^[Y2 : a]: 787.01/100.38 (((Y0 @ Y1 @ Y2) => 787.01/100.38 (Y0 @ Y2 @ Y1))))))))))) => 787.01/100.38 (Y0 @ '#sk2' @ '#sk3'))))))))), 787.01/100.38 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl40])). 787.01/100.38 thf(zip_derived_cl45, plain, 787.01/100.38 ((![X2 : a]: 787.01/100.38 (((!!) @ (^[Y0 : a]: 787.01/100.38 ((('#sk141' @ X2 @ Y0) => ('#sk141' @ Y0 @ X2))))))) 787.01/100.38 <= (~ 787.01/100.38 ( (((!!) @ (^[Y0 : a > a > $o]: 787.01/100.38 (((((((!!) @ (^[Y1 : a]: 787.01/100.38 (((!!) @ (^[Y2 : a]: 787.01/100.38 ((('#sk1' @ Y1 @ Y2) => 787.01/100.38 (Y0 @ Y1 @ Y2))))))))) & 787.01/100.38 (((!!) @ (^[Y1 : a]: 787.01/100.38 (((!!) @ (^[Y2 : a]: 787.01/100.38 (((Y0 @ Y1 @ Y2) => 787.01/100.38 (Y0 @ Y2 @ Y1))))))))))) => 787.01/100.38 (Y0 @ '#sk2' @ '#sk3'))))))))), 787.01/100.38 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl43])). 787.01/100.38 thf(zip_derived_cl47, plain, 787.01/100.38 ((![X2 : a, X4 : a]: ((('#sk141' @ X2 @ X4) => ('#sk141' @ X4 @ X2)))) 787.01/100.38 <= (~ 787.01/100.38 ( (((!!) @ (^[Y0 : a > a > $o]: 787.01/100.38 (((((((!!) @ (^[Y1 : a]: 787.01/100.38 (((!!) @ (^[Y2 : a]: 787.01/100.38 ((('#sk1' @ Y1 @ Y2) => 787.01/100.38 (Y0 @ Y1 @ Y2))))))))) & 787.01/100.38 (((!!) @ (^[Y1 : a]: 787.01/100.38 (((!!) @ (^[Y2 : a]: 787.01/100.38 (((Y0 @ Y1 @ Y2) => 787.01/100.38 (Y0 @ Y2 @ Y1))))))))))) => 787.01/100.38 (Y0 @ '#sk2' @ '#sk3'))))))))), 787.01/100.38 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl45])). 787.01/100.38 thf(zip_derived_cl49, plain, 787.01/100.38 ((![X2 : a, X4 : a]: (~ ('#sk141' @ X2 @ X4) | ('#sk141' @ X4 @ X2))) 787.01/100.38 <= (~ 787.01/100.38 ( (((!!) @ (^[Y0 : a > a > $o]: 787.01/100.38 (((((((!!) @ (^[Y1 : a]: 787.01/100.38 (((!!) @ (^[Y2 : a]: 787.01/100.38 ((('#sk1' @ Y1 @ Y2) => 787.01/100.38 (Y0 @ Y1 @ Y2))))))))) & 787.01/100.38 (((!!) @ (^[Y1 : a]: 787.01/100.38 (((!!) @ (^[Y2 : a]: 787.01/100.38 (((Y0 @ Y1 @ Y2) => 787.01/100.38 (Y0 @ Y2 @ Y1))))))))))) => 787.01/100.38 (Y0 @ '#sk2' @ '#sk3'))))))))), 787.01/100.38 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl47])). 787.01/100.38 thf(zip_derived_cl418, plain, 787.01/100.38 (( ('#sk141' @ '#sk2' @ '#sk3')) 787.01/100.38 <= (~ 787.01/100.38 ( (((!!) @ (^[Y0 : a > a > $o]: 787.01/100.38 (((((((!!) @ (^[Y1 : a]: 787.01/100.38 (((!!) @ (^[Y2 : a]: 787.01/100.38 ((('#sk1' @ Y1 @ Y2) => 787.01/100.38 (Y0 @ Y1 @ Y2))))))))) & 787.01/100.38 (((!!) @ (^[Y1 : a]: 787.01/100.38 (((!!) @ (^[Y2 : a]: 787.01/100.38 (((Y0 @ Y1 @ Y2) => 787.01/100.38 (Y0 @ Y2 @ Y1))))))))))) => 787.01/100.38 (Y0 @ '#sk2' @ '#sk3'))))))) & 787.01/100.38 ( ('#sk1' @ '#sk3' @ '#sk2')))), 787.01/100.38 inference('sup-', [status(thm)], [zip_derived_cl365, zip_derived_cl49])). 787.01/100.38 thf(zip_derived_cl41, plain, 787.01/100.38 ((~ ('#sk141' @ '#sk2' @ '#sk3')) 787.01/100.38 <= (~ 787.01/100.38 ( (((!!) @ (^[Y0 : a > a > $o]: 787.01/100.38 (((((((!!) @ (^[Y1 : a]: 787.01/100.38 (((!!) @ (^[Y2 : a]: 787.01/100.38 ((('#sk1' @ Y1 @ Y2) => 787.01/100.38 (Y0 @ Y1 @ Y2))))))))) & 787.01/100.38 (((!!) @ (^[Y1 : a]: 787.01/100.38 (((!!) @ (^[Y2 : a]: 787.01/100.38 (((Y0 @ Y1 @ Y2) => 787.01/100.38 (Y0 @ Y2 @ Y1))))))))))) => 787.01/100.38 (Y0 @ '#sk2' @ '#sk3'))))))))), 787.01/100.38 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl39])). 787.01/100.38 thf('4', plain, 787.01/100.38 (~ ( ('#sk1' @ '#sk3' @ '#sk2')) | 787.01/100.38 ( (((!!) @ (^[Y0 : a > a > $o]: 787.01/100.38 (((((((!!) @ (^[Y1 : a]: 787.01/100.38 (((!!) @ (^[Y2 : a]: 787.01/100.38 ((('#sk1' @ Y1 @ Y2) => (Y0 @ 787.01/100.38 Y1 @ Y2))))))))) & 787.01/100.38 (((!!) @ (^[Y1 : a]: 787.01/100.38 (((!!) @ (^[Y2 : a]: 787.01/100.38 (((Y0 @ Y1 @ Y2) => (Y0 @ 787.01/100.38 Y2 @ Y1))))))))))) => 787.01/100.38 (Y0 @ '#sk2' @ '#sk3')))))))), 787.01/100.38 inference('sup-', [status(thm)], [zip_derived_cl418, zip_derived_cl41])). 787.01/100.38 thf('5', plain, 787.01/100.38 (( (((!!) @ (^[Y0 : a > a > $o]: 787.01/100.38 (((((((!!) @ (^[Y1 : a]: 787.01/100.38 (((!!) @ (^[Y2 : a]: 787.01/100.38 ((('#sk1' @ Y1 @ Y2) => (Y0 @ 787.01/100.38 Y1 @ Y2))))))))) & 787.01/100.38 (((!!) @ (^[Y1 : a]: 787.01/100.38 (((!!) @ (^[Y2 : a]: 787.01/100.38 (((Y0 @ Y1 @ Y2) => (Y0 @ 787.01/100.38 Y2 @ Y1))))))))))) => 787.01/100.38 (Y0 @ '#sk2' @ '#sk3'))))))) | 787.01/100.38 ( ((('#sk1' @ '#sk3' @ '#sk2') | ('#sk1' @ '#sk2' @ '#sk3'))))), 787.01/100.38 inference('split', [status(esa)], [zip_derived_cl5])). 787.01/100.38 thf('6', plain, 787.01/100.38 (( (((!!) @ (^[Y0 : a > a > $o]: 787.01/100.38 (((((((!!) @ (^[Y1 : a]: 787.01/100.38 (((!!) @ (^[Y2 : a]: 787.01/100.38 ((('#sk1' @ Y1 @ Y2) => (Y0 @ 787.01/100.38 Y1 @ Y2))))))))) & 787.01/100.38 (((!!) @ (^[Y1 : a]: 787.01/100.38 (((!!) @ (^[Y2 : a]: 787.01/100.38 (((Y0 @ Y1 @ Y2) => (Y0 @ 787.01/100.38 Y2 @ Y1))))))))))) => 787.01/100.38 (Y0 @ '#sk2' @ '#sk3')))))))), 787.01/100.38 inference('sat_resolution*', [status(thm)], 787.01/100.38 ['0', '1', '2', '3', '4', '5'])). 787.01/100.38 thf(zip_derived_cl1027, plain, 787.01/100.38 (![X0 : a > a > $o, X1 : a > a > $o]: 787.01/100.38 (~ (X0 @ ('#sk351' @ X0 @ X1) @ ('#sk290' @ X0 @ X1)) 787.01/100.38 | (X1 @ '#sk2' @ '#sk3') 787.01/100.38 | (X0 @ '#sk2' @ '#sk3') 787.01/100.38 | ('#sk1' @ ('#sk178' @ X0 @ X1) @ ('#sk201' @ X0 @ X1)))), 787.01/100.38 inference('simpl_trail', [status(thm)], [zip_derived_cl77, '6'])). 787.01/100.38 thf(zip_derived_cl76, plain, 787.01/100.38 ((![X0 : a > a > $o, X1 : a > a > $o]: 787.01/100.38 (~ (X1 @ ('#sk351' @ X0 @ X1) @ ('#sk290' @ X0 @ X1)) 787.01/100.38 | (X1 @ '#sk2' @ '#sk3') 787.01/100.38 | (X0 @ '#sk2' @ '#sk3') 787.01/100.38 | ('#sk1' @ ('#sk178' @ X0 @ X1) @ ('#sk201' @ X0 @ X1)))) 787.01/100.38 <= (( (((!!) @ (^[Y0 : a > a > $o]: 787.01/100.38 (((((((!!) @ (^[Y1 : a]: 787.01/100.38 (((!!) @ (^[Y2 : a]: 787.01/100.38 ((('#sk1' @ Y1 @ Y2) => 787.01/100.38 (Y0 @ Y1 @ Y2))))))))) & 787.01/100.38 (((!!) @ (^[Y1 : a]: 787.01/100.38 (((!!) @ (^[Y2 : a]: 787.01/100.38 (((Y0 @ Y1 @ Y2) => 787.01/100.38 (Y0 @ Y2 @ Y1))))))))))) => 787.01/100.38 (Y0 @ '#sk2' @ '#sk3'))))))))), 787.01/100.38 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl70])). 787.01/100.38 thf('7', plain, 787.01/100.38 (( (((!!) @ (^[Y0 : a > a > $o]: 787.01/100.38 (((((((!!) @ (^[Y1 : a]: 787.01/100.38 (((!!) @ (^[Y2 : a]: 787.01/100.38 ((('#sk1' @ Y1 @ Y2) => (Y0 @ 787.01/100.38 Y1 @ Y2))))))))) & 787.01/100.38 (((!!) @ (^[Y1 : a]: 787.01/100.38 (((!!) @ (^[Y2 : a]: 787.01/100.38 (((Y0 @ Y1 @ Y2) => (Y0 @ 787.01/100.38 Y2 @ Y1))))))))))) => 787.01/100.38 (Y0 @ '#sk2' @ '#sk3')))))))), 787.01/100.38 inference('sat_resolution*', [status(thm)], 787.01/100.38 ['0', '1', '2', '3', '4', '5'])). 787.01/100.38 thf(zip_derived_cl938, plain, 787.01/100.38 (![X0 : a > a > $o, X1 : a > a > $o]: 787.01/100.38 (~ (X1 @ ('#sk351' @ X0 @ X1) @ ('#sk290' @ X0 @ X1)) 787.01/100.38 | (X1 @ '#sk2' @ '#sk3') 787.01/100.38 | (X0 @ '#sk2' @ '#sk3') 787.01/100.38 | ('#sk1' @ ('#sk178' @ X0 @ X1) @ ('#sk201' @ X0 @ X1)))), 787.01/100.38 inference('simpl_trail', [status(thm)], [zip_derived_cl76, '7'])). 787.01/100.38 thf(zip_derived_cl59, plain, 787.01/100.38 ((![X0 : a > a > $o, X1 : a > a > $o]: 787.01/100.38 (~ (((X1 @ ('#sk178' @ X0 @ X1) @ ('#sk201' @ X0 @ X1)) | (X0 @ 787.01/100.38 ('#sk178' @ X0 @ X1) @ ('#sk201' @ X0 @ X1)))) 787.01/100.38 | (((X1 @ '#sk2' @ '#sk3') | (X0 @ '#sk2' @ '#sk3'))) 787.01/100.38 | ~ (((!!) @ (^[Y0 : a]: 787.01/100.38 (((!!) @ (^[Y1 : a]: 787.01/100.38 (((((X1 @ Y0 @ Y1) | (X0 @ Y0 @ Y1))) => 787.01/100.38 (((X1 @ Y1 @ Y0) | (X0 @ Y1 @ Y0))))))))))))) 787.01/100.38 <= (( (((!!) @ (^[Y0 : a > a > $o]: 787.01/100.38 (((((((!!) @ (^[Y1 : a]: 787.01/100.38 (((!!) @ (^[Y2 : a]: 787.01/100.38 ((('#sk1' @ Y1 @ Y2) => 787.01/100.38 (Y0 @ Y1 @ Y2))))))))) & 787.01/100.38 (((!!) @ (^[Y1 : a]: 787.01/100.38 (((!!) @ (^[Y2 : a]: 787.01/100.38 (((Y0 @ Y1 @ Y2) => 787.01/100.38 (Y0 @ Y2 @ Y1))))))))))) => 787.01/100.38 (Y0 @ '#sk2' @ '#sk3'))))))))), 787.01/100.38 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl57])). 787.01/100.38 thf(zip_derived_cl61, plain, 787.01/100.38 ((![X0 : a > a > $o, X1 : a > a > $o]: 787.01/100.38 (~ (X1 @ ('#sk178' @ X0 @ X1) @ ('#sk201' @ X0 @ X1)) 787.01/100.38 | ~ (((!!) @ (^[Y0 : a]: 787.01/100.38 (((!!) @ (^[Y1 : a]: 787.01/100.38 (((((X1 @ Y0 @ Y1) | (X0 @ Y0 @ Y1))) => 787.01/100.38 (((X1 @ Y1 @ Y0) | (X0 @ Y1 @ Y0))))))))))) 787.01/100.38 | (((X1 @ '#sk2' @ '#sk3') | (X0 @ '#sk2' @ '#sk3'))))) 787.01/100.38 <= (( (((!!) @ (^[Y0 : a > a > $o]: 787.01/100.38 (((((((!!) @ (^[Y1 : a]: 787.01/100.38 (((!!) @ (^[Y2 : a]: 787.01/100.38 ((('#sk1' @ Y1 @ Y2) => 787.01/100.38 (Y0 @ Y1 @ Y2))))))))) & 787.01/100.38 (((!!) @ (^[Y1 : a]: 787.01/100.38 (((!!) @ (^[Y2 : a]: 787.01/100.38 (((Y0 @ Y1 @ Y2) => 787.01/100.38 (Y0 @ Y2 @ Y1))))))))))) => 787.01/100.38 (Y0 @ '#sk2' @ '#sk3'))))))))), 787.01/100.38 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl59])). 787.01/100.38 thf(zip_derived_cl64, plain, 787.01/100.38 ((![X0 : a > a > $o, X1 : a > a > $o]: 787.01/100.38 (~ (((!!) @ (^[Y0 : a]: 787.01/100.38 (((((X1 @ ('#sk290' @ X0 @ X1) @ Y0) | (X0 @ 787.01/100.38 ('#sk290' @ X0 @ X1) @ Y0))) => 787.01/100.38 (((X1 @ Y0 @ ('#sk290' @ X0 @ X1)) | (X0 @ Y0 @ 787.01/100.38 ('#sk290' @ X0 @ X1))))))))) 787.01/100.38 | (((X1 @ '#sk2' @ '#sk3') | (X0 @ '#sk2' @ '#sk3'))) 787.01/100.38 | ~ (X1 @ ('#sk178' @ X0 @ X1) @ ('#sk201' @ X0 @ X1)))) 787.01/100.38 <= (( (((!!) @ (^[Y0 : a > a > $o]: 787.01/100.38 (((((((!!) @ (^[Y1 : a]: 787.01/100.38 (((!!) @ (^[Y2 : a]: 787.01/100.38 ((('#sk1' @ Y1 @ Y2) => 787.01/100.38 (Y0 @ Y1 @ Y2))))))))) & 787.01/100.38 (((!!) @ (^[Y1 : a]: 787.01/100.38 (((!!) @ (^[Y2 : a]: 787.01/100.38 (((Y0 @ Y1 @ Y2) => 787.01/100.38 (Y0 @ Y2 @ Y1))))))))))) => 787.01/100.38 (Y0 @ '#sk2' @ '#sk3'))))))))), 787.01/100.38 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl61])). 787.01/100.38 thf(zip_derived_cl67, plain, 787.01/100.38 ((![X0 : a > a > $o, X1 : a > a > $o]: 787.01/100.38 (~ (((((X1 @ ('#sk290' @ X0 @ X1) @ ('#sk351' @ X0 @ X1)) | (X0 @ 787.01/100.38 ('#sk290' @ X0 @ X1) @ ('#sk351' @ X0 @ X1)))) => 787.01/100.38 (((X1 @ ('#sk351' @ X0 @ X1) @ ('#sk290' @ X0 @ X1)) | (X0 @ 787.01/100.38 ('#sk351' @ X0 @ X1) @ ('#sk290' @ X0 @ X1)))))) 787.01/100.38 | ~ (X1 @ ('#sk178' @ X0 @ X1) @ ('#sk201' @ X0 @ X1)) 787.01/100.38 | (((X1 @ '#sk2' @ '#sk3') | (X0 @ '#sk2' @ '#sk3'))))) 787.01/100.38 <= (( (((!!) @ (^[Y0 : a > a > $o]: 787.01/100.38 (((((((!!) @ (^[Y1 : a]: 787.01/100.38 (((!!) @ (^[Y2 : a]: 787.01/100.38 ((('#sk1' @ Y1 @ Y2) => 787.01/100.38 (Y0 @ Y1 @ Y2))))))))) & 787.01/100.38 (((!!) @ (^[Y1 : a]: 787.01/100.38 (((!!) @ (^[Y2 : a]: 787.01/100.38 (((Y0 @ Y1 @ Y2) => 787.01/100.38 (Y0 @ Y2 @ Y1))))))))))) => 787.01/100.38 (Y0 @ '#sk2' @ '#sk3'))))))))), 787.01/100.38 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl64])). 787.01/100.38 thf(zip_derived_cl72, plain, 787.01/100.38 ((![X0 : a > a > $o, X1 : a > a > $o]: 787.01/100.38 (~ (((X1 @ ('#sk351' @ X0 @ X1) @ ('#sk290' @ X0 @ X1)) | (X0 @ 787.01/100.38 ('#sk351' @ X0 @ X1) @ ('#sk290' @ X0 @ X1)))) 787.01/100.38 | (((X1 @ '#sk2' @ '#sk3') | (X0 @ '#sk2' @ '#sk3'))) 787.01/100.38 | ~ (X1 @ ('#sk178' @ X0 @ X1) @ ('#sk201' @ X0 @ X1)))) 787.01/100.38 <= (( (((!!) @ (^[Y0 : a > a > $o]: 787.01/100.38 (((((((!!) @ (^[Y1 : a]: 787.01/100.38 (((!!) @ (^[Y2 : a]: 787.01/100.38 ((('#sk1' @ Y1 @ Y2) => 787.01/100.38 (Y0 @ Y1 @ Y2))))))))) & 787.01/100.38 (((!!) @ (^[Y1 : a]: 787.01/100.38 (((!!) @ (^[Y2 : a]: 787.01/100.38 (((Y0 @ Y1 @ Y2) => 787.01/100.38 (Y0 @ Y2 @ Y1))))))))))) => 787.01/100.38 (Y0 @ '#sk2' @ '#sk3'))))))))), 787.01/100.38 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl67])). 787.01/100.38 thf(zip_derived_cl79, plain, 787.01/100.38 ((![X0 : a > a > $o, X1 : a > a > $o]: 787.01/100.38 (~ (X1 @ ('#sk351' @ X0 @ X1) @ ('#sk290' @ X0 @ X1)) 787.01/100.38 | ~ (X1 @ ('#sk178' @ X0 @ X1) @ ('#sk201' @ X0 @ X1)) 787.01/100.38 | (((X1 @ '#sk2' @ '#sk3') | (X0 @ '#sk2' @ '#sk3'))))) 787.01/100.38 <= (( (((!!) @ (^[Y0 : a > a > $o]: 787.01/100.38 (((((((!!) @ (^[Y1 : a]: 787.01/100.38 (((!!) @ (^[Y2 : a]: 787.01/100.38 ((('#sk1' @ Y1 @ Y2) => 787.01/100.38 (Y0 @ Y1 @ Y2))))))))) & 787.01/100.38 (((!!) @ (^[Y1 : a]: 787.01/100.38 (((!!) @ (^[Y2 : a]: 787.01/100.38 (((Y0 @ Y1 @ Y2) => 787.01/100.38 (Y0 @ Y2 @ Y1))))))))))) => 787.01/100.38 (Y0 @ '#sk2' @ '#sk3'))))))))), 787.01/100.38 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl72])). 787.01/100.38 thf(zip_derived_cl85, plain, 787.01/100.38 ((![X0 : a > a > $o, X1 : a > a > $o]: 787.01/100.38 ( (X1 @ '#sk2' @ '#sk3') 787.01/100.38 | (X0 @ '#sk2' @ '#sk3') 787.01/100.38 | ~ (X1 @ ('#sk178' @ X0 @ X1) @ ('#sk201' @ X0 @ X1)) 787.01/100.38 | ~ (X1 @ ('#sk351' @ X0 @ X1) @ ('#sk290' @ X0 @ X1)))) 787.01/100.38 <= (( (((!!) @ (^[Y0 : a > a > $o]: 787.01/100.38 (((((((!!) @ (^[Y1 : a]: 787.01/100.38 (((!!) @ (^[Y2 : a]: 787.01/100.38 ((('#sk1' @ Y1 @ Y2) => 787.01/100.38 (Y0 @ Y1 @ Y2))))))))) & 787.01/100.38 (((!!) @ (^[Y1 : a]: 787.01/100.38 (((!!) @ (^[Y2 : a]: 787.01/100.38 (((Y0 @ Y1 @ Y2) => 787.01/100.38 (Y0 @ Y2 @ Y1))))))))))) => 787.01/100.38 (Y0 @ '#sk2' @ '#sk3'))))))))), 787.01/100.38 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl79])). 787.01/100.38 thf('8', plain, 787.01/100.38 (( (((!!) @ (^[Y0 : a > a > $o]: 787.01/100.38 (((((((!!) @ (^[Y1 : a]: 787.01/100.38 (((!!) @ (^[Y2 : a]: 787.01/100.38 ((('#sk1' @ Y1 @ Y2) => (Y0 @ 787.01/100.38 Y1 @ Y2))))))))) & 787.01/100.38 (((!!) @ (^[Y1 : a]: 787.01/100.38 (((!!) @ (^[Y2 : a]: 787.01/100.38 (((Y0 @ Y1 @ Y2) => (Y0 @ 787.01/100.38 Y2 @ Y1))))))))))) => 787.01/100.38 (Y0 @ '#sk2' @ '#sk3')))))))), 787.01/100.38 inference('sat_resolution*', [status(thm)], 787.01/100.38 ['0', '1', '2', '3', '4', '5'])). 787.01/100.38 thf(zip_derived_cl1875, plain, 787.01/100.38 (![X0 : a > a > $o, X1 : a > a > $o]: 787.01/100.38 ( (X1 @ '#sk2' @ '#sk3') 787.01/100.38 | (X0 @ '#sk2' @ '#sk3') 787.01/100.38 | ~ (X1 @ ('#sk178' @ X0 @ X1) @ ('#sk201' @ X0 @ X1)) 787.01/100.38 | ~ (X1 @ ('#sk351' @ X0 @ X1) @ ('#sk290' @ X0 @ X1)))), 787.01/100.38 inference('simpl_trail', [status(thm)], [zip_derived_cl85, '8'])). 787.01/100.38 thf(zip_derived_cl2004, plain, 787.01/100.38 (![X0 : a > a > $o]: 787.01/100.38 ( (X0 @ '#sk2' @ '#sk3') 787.01/100.38 | ('#sk1' @ '#sk2' @ '#sk3') 787.01/100.38 | ~ ('#sk1' @ ('#sk351' @ X0 @ '#sk1') @ ('#sk290' @ X0 @ '#sk1')) 787.01/100.38 | ~ ('#sk1' @ ('#sk351' @ X0 @ '#sk1') @ ('#sk290' @ X0 @ '#sk1')) 787.01/100.38 | (X0 @ '#sk2' @ '#sk3') 787.01/100.38 | ('#sk1' @ '#sk2' @ '#sk3'))), 787.01/100.38 inference('sup-', [status(thm)], [zip_derived_cl938, zip_derived_cl1875])). 787.01/100.38 thf(zip_derived_cl4, plain, 787.01/100.38 (((((!!) @ (^[Y0 : a > a > $o]: 787.01/100.38 (((((((!!) @ (^[Y1 : a]: 787.01/100.38 (((!!) @ (^[Y2 : a]: 787.01/100.38 ((('#sk1' @ Y1 @ Y2) => (Y0 @ 787.01/100.38 Y1 @ Y2))))))))) & 787.01/100.38 (((!!) @ (^[Y1 : a]: 787.01/100.38 (((!!) @ (^[Y2 : a]: 787.01/100.38 (((Y0 @ Y1 @ Y2) => (Y0 @ Y2 @ 787.01/100.38 Y1))))))))))) => 787.01/100.38 (Y0 @ '#sk2' @ '#sk3')))))) 787.01/100.38 != ((('#sk1' @ '#sk3' @ '#sk2') | ('#sk1' @ '#sk2' @ '#sk3'))))), 787.01/100.38 inference('simplify nested equalities', [status(thm)], [zip_derived_cl3])). 787.01/100.38 thf(zip_derived_cl37, plain, 787.01/100.38 ((~ ('#sk1' @ '#sk3' @ '#sk2')) 787.01/100.38 <= (~ ( ((('#sk1' @ '#sk3' @ '#sk2') | ('#sk1' @ '#sk2' @ '#sk3')))))), 787.01/100.38 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl35])). 787.01/100.38 thf('9', plain, 787.01/100.38 (~ ( ((('#sk1' @ '#sk3' @ '#sk2') | ('#sk1' @ '#sk2' @ '#sk3'))))), 787.01/100.38 inference('sat_resolution*', [status(thm)], ['0', '1', '2', '3', '4'])). 787.01/100.38 thf(zip_derived_cl925, plain, (~ ('#sk1' @ '#sk3' @ '#sk2')), 787.01/100.38 inference('simpl_trail', [status(thm)], [zip_derived_cl37, '9'])). 787.01/100.38 thf(zip_derived_cl995, plain, 787.01/100.38 (((((!!) @ (^[Y0 : a > a > $o]: 787.01/100.38 (((((((!!) @ (^[Y1 : a]: 787.01/100.38 (((!!) @ (^[Y2 : a]: 787.01/100.38 ((('#sk1' @ Y1 @ Y2) => (Y0 @ 787.01/100.38 Y1 @ Y2))))))))) & 787.01/100.38 (((!!) @ (^[Y1 : a]: 787.01/100.38 (((!!) @ (^[Y2 : a]: 787.01/100.38 (((Y0 @ Y1 @ Y2) => (Y0 @ Y2 @ 787.01/100.38 Y1))))))))))) => 787.01/100.38 (Y0 @ '#sk2' @ '#sk3')))))) 787.01/100.38 != ((($false) | ('#sk1' @ '#sk2' @ '#sk3'))))), 787.01/100.38 inference('demod', [status(thm)], [zip_derived_cl4, zip_derived_cl925])). 787.01/100.38 thf(zip_derived_cl996, plain, 787.01/100.38 (((((!!) @ (^[Y0 : a > a > $o]: 787.01/100.38 (((((((!!) @ (^[Y1 : a]: 787.01/100.38 (((!!) @ (^[Y2 : a]: 787.01/100.38 ((('#sk1' @ Y1 @ Y2) => (Y0 @ 787.01/100.38 Y1 @ Y2))))))))) & 787.01/100.38 (((!!) @ (^[Y1 : a]: 787.01/100.38 (((!!) @ (^[Y2 : a]: 787.01/100.38 (((Y0 @ Y1 @ Y2) => (Y0 @ Y2 @ 787.01/100.38 Y1))))))))))) => 787.01/100.38 (Y0 @ '#sk2' @ '#sk3')))))) 787.01/100.38 != ('#sk1' @ '#sk2' @ '#sk3'))), 787.01/100.38 inference('simplify boolean subterms', [status(thm)], [zip_derived_cl995])). 787.01/100.38 thf(zip_derived_cl998, plain, 787.01/100.38 ((~ (((!!) @ (^[Y0 : a > a > $o]: 787.01/100.38 (((((((!!) @ (^[Y1 : a]: 787.01/100.38 (((!!) @ (^[Y2 : a]: 787.01/100.38 ((('#sk1' @ Y1 @ Y2) => 787.01/100.38 (Y0 @ Y1 @ Y2))))))))) & 787.01/100.38 (((!!) @ (^[Y1 : a]: 787.01/100.38 (((!!) @ (^[Y2 : a]: 787.01/100.38 (((Y0 @ Y1 @ Y2) => (Y0 @ 787.01/100.38 Y2 @ Y1))))))))))) => 787.01/100.38 (Y0 @ '#sk2' @ '#sk3')))))) 787.01/100.38 | ~ ('#sk1' @ '#sk2' @ '#sk3'))), 787.01/100.38 inference('eq_elim', [status(thm)], [zip_derived_cl996])). 787.01/100.38 thf(zip_derived_cl1002, plain, 787.01/100.38 ((~ ('#sk1' @ '#sk2' @ '#sk3')) <= (~ ( ('#sk1' @ '#sk2' @ '#sk3')))), 787.01/100.38 inference('split', [status(esa)], [zip_derived_cl998])). 787.01/100.38 thf('10', plain, (~ ( ('#sk1' @ '#sk2' @ '#sk3'))), 787.01/100.38 inference('sat_resolution*', [status(thm)], ['1', '2', '3'])). 787.01/100.38 thf(zip_derived_cl1004, plain, (~ ('#sk1' @ '#sk2' @ '#sk3')), 787.01/100.38 inference('simpl_trail', [status(thm)], [zip_derived_cl1002, '10'])). 787.01/100.38 thf(zip_derived_cl1004, plain, (~ ('#sk1' @ '#sk2' @ '#sk3')), 787.01/100.38 inference('simpl_trail', [status(thm)], [zip_derived_cl1002, '10'])). 787.01/100.38 thf(zip_derived_cl2219, plain, 787.01/100.38 (![X0 : a > a > $o]: 787.01/100.38 ( (X0 @ '#sk2' @ '#sk3') 787.01/100.38 | ~ ('#sk1' @ ('#sk351' @ X0 @ '#sk1') @ ('#sk290' @ X0 @ '#sk1')) 787.01/100.38 | ~ ('#sk1' @ ('#sk351' @ X0 @ '#sk1') @ ('#sk290' @ X0 @ '#sk1')) 787.01/100.38 | (X0 @ '#sk2' @ '#sk3'))), 787.01/100.38 inference('demod', [status(thm)], 787.01/100.38 [zip_derived_cl2004, zip_derived_cl1004, zip_derived_cl1004])). 787.01/100.38 thf(zip_derived_cl2220, plain, 787.01/100.38 (![X0 : a > a > $o]: 787.01/100.38 (~ ('#sk1' @ ('#sk351' @ X0 @ '#sk1') @ ('#sk290' @ X0 @ '#sk1')) 787.01/100.38 | (X0 @ '#sk2' @ '#sk3'))), 787.01/100.38 inference('simplify', [status(thm)], [zip_derived_cl2219])). 787.01/100.38 thf(zip_derived_cl996, plain, 787.01/100.38 (((((!!) @ (^[Y0 : a > a > $o]: 787.01/100.38 (((((((!!) @ (^[Y1 : a]: 787.01/100.38 (((!!) @ (^[Y2 : a]: 787.01/100.38 ((('#sk1' @ Y1 @ Y2) => (Y0 @ 787.01/100.38 Y1 @ Y2))))))))) & 787.01/100.38 (((!!) @ (^[Y1 : a]: 787.01/100.38 (((!!) @ (^[Y2 : a]: 787.01/100.38 (((Y0 @ Y1 @ Y2) => (Y0 @ Y2 @ 787.01/100.38 Y1))))))))))) => 787.01/100.38 (Y0 @ '#sk2' @ '#sk3')))))) 787.01/100.38 != ('#sk1' @ '#sk2' @ '#sk3'))), 787.01/100.38 inference('simplify boolean subterms', [status(thm)], [zip_derived_cl995])). 787.01/100.38 thf(zip_derived_cl1004, plain, (~ ('#sk1' @ '#sk2' @ '#sk3')), 787.01/100.38 inference('simpl_trail', [status(thm)], [zip_derived_cl1002, '10'])). 787.01/100.38 thf(zip_derived_cl1016, plain, 787.01/100.38 ( (((!!) @ (^[Y0 : a > a > $o]: 787.01/100.38 (((((((!!) @ (^[Y1 : a]: 787.01/100.38 (((!!) @ (^[Y2 : a]: 787.01/100.38 ((('#sk1' @ Y1 @ Y2) => (Y0 @ 787.01/100.38 Y1 @ Y2))))))))) & 787.01/100.38 (((!!) @ (^[Y1 : a]: 787.01/100.38 (((!!) @ (^[Y2 : a]: 787.01/100.38 (((Y0 @ Y1 @ Y2) => (Y0 @ Y2 @ 787.01/100.38 Y1))))))))))) => 787.01/100.38 (Y0 @ '#sk2' @ '#sk3'))))))), 787.01/100.38 inference('demod', [status(thm)], [zip_derived_cl996, zip_derived_cl1004])). 787.01/100.38 thf(zip_derived_cl1107, plain, 787.01/100.38 (![X2 : a > a > $o]: 787.01/100.38 (((((((!!) @ (^[Y0 : a]: 787.01/100.38 (((!!) @ (^[Y1 : a]: 787.01/100.38 ((('#sk1' @ Y0 @ Y1) => (X2 @ Y0 @ Y1))))))))) & 787.01/100.38 (((!!) @ (^[Y0 : a]: 787.01/100.38 (((!!) @ (^[Y1 : a]: 787.01/100.38 (((X2 @ Y0 @ Y1) => (X2 @ Y1 @ Y0))))))))))) => 787.01/100.38 (X2 @ '#sk2' @ '#sk3')))), 787.01/100.38 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl1016])). 787.01/100.38 thf(zip_derived_cl1108, plain, 787.01/100.38 (![X0 : a > a > $o, X1 : a > a > $o]: 787.01/100.38 (((((((!!) @ (^[Y0 : a]: 787.01/100.38 (((!!) @ (^[Y1 : a]: 787.01/100.38 ((('#sk1' @ Y0 @ Y1) => 787.01/100.38 (((X1 @ Y0 @ Y1) | (X0 @ Y0 @ Y1))))))))))) & 787.01/100.38 (((!!) @ (^[Y0 : a]: 787.01/100.38 (((!!) @ (^[Y1 : a]: 787.01/100.38 (((((X1 @ Y0 @ Y1) | (X0 @ Y0 @ Y1))) => 787.01/100.38 (((X1 @ Y1 @ Y0) | (X0 @ Y1 @ Y0))))))))))))) => 787.01/100.38 (((X1 @ '#sk2' @ '#sk3') | (X0 @ '#sk2' @ '#sk3')))))), 787.01/100.38 inference('ho.refine.early.bird', [status(thm)], [zip_derived_cl1107])). 787.01/100.38 thf(zip_derived_cl1587, plain, 787.01/100.38 (![X0 : a > a > $o, X1 : a > a > $o]: 787.01/100.38 (~ (((((!!) @ (^[Y0 : a]: 787.01/100.38 (((!!) @ (^[Y1 : a]: 787.01/100.38 ((('#sk1' @ Y0 @ Y1) => 787.01/100.38 (((X1 @ Y0 @ Y1) | (X0 @ Y0 @ Y1))))))))))) & 787.01/100.38 (((!!) @ (^[Y0 : a]: 787.01/100.38 (((!!) @ (^[Y1 : a]: 787.01/100.38 (((((X1 @ Y0 @ Y1) | (X0 @ Y0 @ Y1))) => 787.01/100.38 (((X1 @ Y1 @ Y0) | (X0 @ Y1 @ Y0))))))))))))) 787.01/100.38 | (((X1 @ '#sk2' @ '#sk3') | (X0 @ '#sk2' @ '#sk3'))))), 787.01/100.38 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl1108])). 787.01/100.38 thf(zip_derived_cl1588, plain, 787.01/100.38 (![X0 : a > a > $o, X1 : a > a > $o]: 787.01/100.38 (~ (((!!) @ (^[Y0 : a]: 787.01/100.38 (((!!) @ (^[Y1 : a]: 787.01/100.38 ((('#sk1' @ Y0 @ Y1) => 787.01/100.38 (((X1 @ Y0 @ Y1) | (X0 @ Y0 @ Y1))))))))))) 787.01/100.38 | ~ (((!!) @ (^[Y0 : a]: 787.01/100.38 (((!!) @ (^[Y1 : a]: 787.01/100.38 (((((X1 @ Y0 @ Y1) | (X0 @ Y0 @ Y1))) => 787.01/100.38 (((X1 @ Y1 @ Y0) | (X0 @ Y1 @ Y0))))))))))) 787.01/100.38 | (((X1 @ '#sk2' @ '#sk3') | (X0 @ '#sk2' @ '#sk3'))))), 787.01/100.38 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl1587])). 787.01/100.38 thf(zip_derived_cl1589, plain, 787.01/100.38 (![X0 : a > a > $o, X1 : a > a > $o]: 787.01/100.38 (~ (((!!) @ (^[Y0 : a]: 787.01/100.38 ((('#sk1' @ ('#sk178' @ X0 @ X1) @ Y0) => 787.01/100.38 (((X1 @ ('#sk178' @ X0 @ X1) @ Y0) | (X0 @ 787.01/100.38 ('#sk178' @ X0 @ X1) @ Y0)))))))) 787.01/100.38 | (((X1 @ '#sk2' @ '#sk3') | (X0 @ '#sk2' @ '#sk3'))) 787.01/100.38 | ~ (((!!) @ (^[Y0 : a]: 787.01/100.38 (((!!) @ (^[Y1 : a]: 787.01/100.38 (((((X1 @ Y0 @ Y1) | (X0 @ Y0 @ Y1))) => 787.01/100.38 (((X1 @ Y1 @ Y0) | (X0 @ Y1 @ Y0))))))))))))), 787.01/100.38 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl1588])). 787.01/100.38 thf(zip_derived_cl1590, plain, 787.01/100.38 (![X0 : a > a > $o, X1 : a > a > $o]: 787.01/100.38 (~ ((('#sk1' @ ('#sk178' @ X0 @ X1) @ ('#sk201' @ X0 @ X1)) => 787.01/100.38 (((X1 @ ('#sk178' @ X0 @ X1) @ ('#sk201' @ X0 @ X1)) | (X0 @ 787.01/100.38 ('#sk178' @ X0 @ X1) @ ('#sk201' @ X0 @ X1)))))) 787.01/100.38 | ~ (((!!) @ (^[Y0 : a]: 787.01/100.38 (((!!) @ (^[Y1 : a]: 787.01/100.38 (((((X1 @ Y0 @ Y1) | (X0 @ Y0 @ Y1))) => 787.01/100.38 (((X1 @ Y1 @ Y0) | (X0 @ Y1 @ Y0))))))))))) 787.01/100.38 | (((X1 @ '#sk2' @ '#sk3') | (X0 @ '#sk2' @ '#sk3'))))), 787.01/100.38 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl1589])). 787.01/100.38 thf(zip_derived_cl1591, plain, 787.01/100.38 (![X0 : a > a > $o, X1 : a > a > $o]: 787.01/100.38 ( ('#sk1' @ ('#sk178' @ X0 @ X1) @ ('#sk201' @ X0 @ X1)) 787.01/100.38 | (((X1 @ '#sk2' @ '#sk3') | (X0 @ '#sk2' @ '#sk3'))) 787.01/100.38 | ~ (((!!) @ (^[Y0 : a]: 787.01/100.38 (((!!) @ (^[Y1 : a]: 787.01/100.38 (((((X1 @ Y0 @ Y1) | (X0 @ Y0 @ Y1))) => 787.01/100.38 (((X1 @ Y1 @ Y0) | (X0 @ Y1 @ Y0))))))))))))), 787.01/100.38 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl1590])). 787.01/100.38 thf(zip_derived_cl1593, plain, 787.01/100.38 (![X0 : a > a > $o, X1 : a > a > $o]: 787.01/100.38 ( (X1 @ '#sk2' @ '#sk3') 787.01/100.38 | (X0 @ '#sk2' @ '#sk3') 787.01/100.38 | ~ (((!!) @ (^[Y0 : a]: 787.01/100.38 (((!!) @ (^[Y1 : a]: 787.01/100.38 (((((X1 @ Y0 @ Y1) | (X0 @ Y0 @ Y1))) => 787.01/100.38 (((X1 @ Y1 @ Y0) | (X0 @ Y1 @ Y0))))))))))) 787.01/100.38 | ('#sk1' @ ('#sk178' @ X0 @ X1) @ ('#sk201' @ X0 @ X1)))), 787.01/100.38 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl1591])). 787.01/100.38 thf(zip_derived_cl1596, plain, 787.01/100.38 (![X0 : a > a > $o, X1 : a > a > $o]: 787.01/100.38 (~ (((!!) @ (^[Y0 : a]: 787.01/100.38 (((((X1 @ ('#sk290' @ X0 @ X1) @ Y0) | (X0 @ 787.01/100.38 ('#sk290' @ X0 @ X1) @ Y0))) => 787.01/100.38 (((X1 @ Y0 @ ('#sk290' @ X0 @ X1)) | (X0 @ Y0 @ 787.01/100.38 ('#sk290' @ X0 @ X1))))))))) 787.01/100.38 | ('#sk1' @ ('#sk178' @ X0 @ X1) @ ('#sk201' @ X0 @ X1)) 787.01/100.38 | (X0 @ '#sk2' @ '#sk3') 787.01/100.38 | (X1 @ '#sk2' @ '#sk3'))), 787.01/100.38 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl1593])). 787.01/100.38 thf(zip_derived_cl1599, plain, 787.01/100.38 (![X0 : a > a > $o, X1 : a > a > $o]: 787.01/100.38 (~ (((((X1 @ ('#sk290' @ X0 @ X1) @ ('#sk351' @ X0 @ X1)) | (X0 @ 787.01/100.38 ('#sk290' @ X0 @ X1) @ ('#sk351' @ X0 @ X1)))) => 787.01/100.38 (((X1 @ ('#sk351' @ X0 @ X1) @ ('#sk290' @ X0 @ X1)) | (X0 @ 787.01/100.38 ('#sk351' @ X0 @ X1) @ ('#sk290' @ X0 @ X1)))))) 787.01/100.38 | (X1 @ '#sk2' @ '#sk3') 787.01/100.38 | (X0 @ '#sk2' @ '#sk3') 787.01/100.38 | ('#sk1' @ ('#sk178' @ X0 @ X1) @ ('#sk201' @ X0 @ X1)))), 787.01/100.38 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl1596])). 787.01/100.38 thf(zip_derived_cl1602, plain, 787.01/100.38 (![X0 : a > a > $o, X1 : a > a > $o]: 787.01/100.38 ( (((X1 @ ('#sk290' @ X0 @ X1) @ ('#sk351' @ X0 @ X1)) | (X0 @ 787.01/100.38 ('#sk290' @ X0 @ X1) @ ('#sk351' @ X0 @ X1)))) 787.01/100.38 | ('#sk1' @ ('#sk178' @ X0 @ X1) @ ('#sk201' @ X0 @ X1)) 787.01/100.38 | (X0 @ '#sk2' @ '#sk3') 787.01/100.38 | (X1 @ '#sk2' @ '#sk3'))), 787.01/100.38 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl1599])). 787.01/100.38 thf(zip_derived_cl1608, plain, 787.01/100.38 (![X0 : a > a > $o, X1 : a > a > $o]: 787.01/100.38 ( (X1 @ ('#sk290' @ X0 @ X1) @ ('#sk351' @ X0 @ X1)) 787.01/100.38 | (X0 @ ('#sk290' @ X0 @ X1) @ ('#sk351' @ X0 @ X1)) 787.01/100.38 | (X1 @ '#sk2' @ '#sk3') 787.01/100.38 | (X0 @ '#sk2' @ '#sk3') 787.01/100.38 | ('#sk1' @ ('#sk178' @ X0 @ X1) @ ('#sk201' @ X0 @ X1)))), 787.01/100.38 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl1602])). 787.01/100.38 thf(zip_derived_cl71, plain, 787.01/100.38 ((![X0 : a > a > $o, X1 : a > a > $o]: 787.01/100.38 ( (((X1 @ ('#sk290' @ X0 @ X1) @ ('#sk351' @ X0 @ X1)) | (X0 @ 787.01/100.38 ('#sk290' @ X0 @ X1) @ ('#sk351' @ X0 @ X1)))) 787.01/100.38 | (((X1 @ '#sk2' @ '#sk3') | (X0 @ '#sk2' @ '#sk3'))) 787.01/100.38 | ~ (X1 @ ('#sk178' @ X0 @ X1) @ ('#sk201' @ X0 @ X1)))) 787.01/100.38 <= (( (((!!) @ (^[Y0 : a > a > $o]: 787.01/100.38 (((((((!!) @ (^[Y1 : a]: 787.01/100.38 (((!!) @ (^[Y2 : a]: 787.01/100.38 ((('#sk1' @ Y1 @ Y2) => 787.01/100.38 (Y0 @ Y1 @ Y2))))))))) & 787.01/100.38 (((!!) @ (^[Y1 : a]: 787.01/100.38 (((!!) @ (^[Y2 : a]: 787.01/100.38 (((Y0 @ Y1 @ Y2) => 787.01/100.38 (Y0 @ Y2 @ Y1))))))))))) => 787.01/100.38 (Y0 @ '#sk2' @ '#sk3'))))))))), 787.01/100.38 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl67])). 787.01/100.38 thf(zip_derived_cl78, plain, 787.01/100.38 ((![X0 : a > a > $o, X1 : a > a > $o]: 787.01/100.38 ( (X1 @ ('#sk290' @ X0 @ X1) @ ('#sk351' @ X0 @ X1)) 787.01/100.38 | (X0 @ ('#sk290' @ X0 @ X1) @ ('#sk351' @ X0 @ X1)) 787.01/100.38 | ~ (X1 @ ('#sk178' @ X0 @ X1) @ ('#sk201' @ X0 @ X1)) 787.01/100.38 | (((X1 @ '#sk2' @ '#sk3') | (X0 @ '#sk2' @ '#sk3'))))) 787.01/100.38 <= (( (((!!) @ (^[Y0 : a > a > $o]: 787.01/100.38 (((((((!!) @ (^[Y1 : a]: 787.01/100.38 (((!!) @ (^[Y2 : a]: 787.01/100.38 ((('#sk1' @ Y1 @ Y2) => 787.01/100.38 (Y0 @ Y1 @ Y2))))))))) & 787.01/100.38 (((!!) @ (^[Y1 : a]: 787.01/100.38 (((!!) @ (^[Y2 : a]: 787.01/100.38 (((Y0 @ Y1 @ Y2) => 787.01/100.38 (Y0 @ Y2 @ Y1))))))))))) => 787.01/100.38 (Y0 @ '#sk2' @ '#sk3'))))))))), 787.01/100.38 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl71])). 787.01/100.38 thf(zip_derived_cl84, plain, 787.01/100.38 ((![X0 : a > a > $o, X1 : a > a > $o]: 787.01/100.38 ( (X1 @ '#sk2' @ '#sk3') 787.01/100.38 | (X0 @ '#sk2' @ '#sk3') 787.01/100.38 | ~ (X1 @ ('#sk178' @ X0 @ X1) @ ('#sk201' @ X0 @ X1)) 787.01/100.38 | (X0 @ ('#sk290' @ X0 @ X1) @ ('#sk351' @ X0 @ X1)) 787.01/100.38 | (X1 @ ('#sk290' @ X0 @ X1) @ ('#sk351' @ X0 @ X1)))) 787.01/100.38 <= (( (((!!) @ (^[Y0 : a > a > $o]: 787.01/100.38 (((((((!!) @ (^[Y1 : a]: 787.01/100.38 (((!!) @ (^[Y2 : a]: 787.01/100.38 ((('#sk1' @ Y1 @ Y2) => 787.01/100.38 (Y0 @ Y1 @ Y2))))))))) & 787.01/100.38 (((!!) @ (^[Y1 : a]: 787.01/100.38 (((!!) @ (^[Y2 : a]: 787.01/100.38 (((Y0 @ Y1 @ Y2) => 787.01/100.38 (Y0 @ Y2 @ Y1))))))))))) => 787.01/100.38 (Y0 @ '#sk2' @ '#sk3'))))))))), 787.01/100.38 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl78])). 787.01/100.38 thf('11', plain, 787.01/100.38 (( (((!!) @ (^[Y0 : a > a > $o]: 787.01/100.38 (((((((!!) @ (^[Y1 : a]: 787.01/100.38 (((!!) @ (^[Y2 : a]: 787.01/100.38 ((('#sk1' @ Y1 @ Y2) => (Y0 @ 787.01/100.38 Y1 @ Y2))))))))) & 787.01/100.38 (((!!) @ (^[Y1 : a]: 787.01/100.38 (((!!) @ (^[Y2 : a]: 787.01/100.38 (((Y0 @ Y1 @ Y2) => (Y0 @ 787.01/100.38 Y2 @ Y1))))))))))) => 787.01/100.38 (Y0 @ '#sk2' @ '#sk3')))))))), 787.01/100.38 inference('sat_resolution*', [status(thm)], 787.01/100.38 ['0', '1', '2', '3', '4', '5'])). 787.01/100.38 thf(zip_derived_cl1193, plain, 787.01/100.38 (![X0 : a > a > $o, X1 : a > a > $o]: 787.01/100.38 ( (X1 @ '#sk2' @ '#sk3') 787.01/100.38 | (X0 @ '#sk2' @ '#sk3') 787.01/100.38 | ~ (X1 @ ('#sk178' @ X0 @ X1) @ ('#sk201' @ X0 @ X1)) 787.01/100.38 | (X0 @ ('#sk290' @ X0 @ X1) @ ('#sk351' @ X0 @ X1)) 787.01/100.38 | (X1 @ ('#sk290' @ X0 @ X1) @ ('#sk351' @ X0 @ X1)))), 787.01/100.38 inference('simpl_trail', [status(thm)], [zip_derived_cl84, '11'])). 787.01/100.38 thf(zip_derived_cl1623, plain, 787.01/100.38 (![X0 : a > a > $o]: 787.01/100.38 ( (X0 @ '#sk2' @ '#sk3') 787.01/100.38 | ('#sk1' @ '#sk2' @ '#sk3') 787.01/100.38 | (X0 @ ('#sk290' @ X0 @ '#sk1') @ ('#sk351' @ X0 @ '#sk1')) 787.01/100.38 | ('#sk1' @ ('#sk290' @ X0 @ '#sk1') @ ('#sk351' @ X0 @ '#sk1')) 787.01/100.38 | ('#sk1' @ ('#sk290' @ X0 @ '#sk1') @ ('#sk351' @ X0 @ '#sk1')) 787.01/100.38 | (X0 @ ('#sk290' @ X0 @ '#sk1') @ ('#sk351' @ X0 @ '#sk1')) 787.01/100.38 | (X0 @ '#sk2' @ '#sk3') 787.01/100.38 | ('#sk1' @ '#sk2' @ '#sk3'))), 787.01/100.38 inference('sup-', [status(thm)], [zip_derived_cl1608, zip_derived_cl1193])). 787.01/100.38 thf(zip_derived_cl1004, plain, (~ ('#sk1' @ '#sk2' @ '#sk3')), 787.01/100.38 inference('simpl_trail', [status(thm)], [zip_derived_cl1002, '10'])). 787.01/100.38 thf(zip_derived_cl1004, plain, (~ ('#sk1' @ '#sk2' @ '#sk3')), 787.01/100.38 inference('simpl_trail', [status(thm)], [zip_derived_cl1002, '10'])). 787.01/100.38 thf(zip_derived_cl1841, plain, 787.01/100.38 (![X0 : a > a > $o]: 787.01/100.38 ( (X0 @ '#sk2' @ '#sk3') 787.01/100.38 | (X0 @ ('#sk290' @ X0 @ '#sk1') @ ('#sk351' @ X0 @ '#sk1')) 787.01/100.38 | ('#sk1' @ ('#sk290' @ X0 @ '#sk1') @ ('#sk351' @ X0 @ '#sk1')) 787.01/100.38 | ('#sk1' @ ('#sk290' @ X0 @ '#sk1') @ ('#sk351' @ X0 @ '#sk1')) 787.01/100.38 | (X0 @ ('#sk290' @ X0 @ '#sk1') @ ('#sk351' @ X0 @ '#sk1')) 787.01/100.38 | (X0 @ '#sk2' @ '#sk3'))), 787.01/100.38 inference('demod', [status(thm)], 787.01/100.38 [zip_derived_cl1623, zip_derived_cl1004, zip_derived_cl1004])). 787.01/100.38 thf(zip_derived_cl1842, plain, 787.01/100.38 (![X0 : a > a > $o]: 787.01/100.38 ( ('#sk1' @ ('#sk290' @ X0 @ '#sk1') @ ('#sk351' @ X0 @ '#sk1')) 787.01/100.38 | (X0 @ ('#sk290' @ X0 @ '#sk1') @ ('#sk351' @ X0 @ '#sk1')) 787.01/100.38 | (X0 @ '#sk2' @ '#sk3'))), 787.01/100.38 inference('simplify', [status(thm)], [zip_derived_cl1841])). 787.01/100.38 thf(zip_derived_cl9679, plain, 787.01/100.38 (( ((^[Y0 : a,Y1 : a]: 787.01/100.38 ('#sk1' @ Y1 @ ((^[Y2 : a,Y3 : a]: (Y2)) @ Y0 @ Y1))) @ 787.01/100.38 '#sk2' @ '#sk3') 787.01/100.38 | ((^[Y0 : a,Y1 : a]: 787.01/100.38 ('#sk1' @ ((^[Y2 : a,Y3 : a]: (Y3)) @ Y0 @ Y1) @ 787.01/100.38 ((^[Y2 : a,Y3 : a]: (Y2)) @ Y0 @ Y1))) @ 787.01/100.38 '#sk2' @ '#sk3') 787.01/100.38 | ('#sk1' @ 787.01/100.38 ('#sk290' @ 787.01/100.38 (^[Y0 : a,Y1 : a]: 787.01/100.38 ('#sk1' @ ((^[Y2 : a,Y3 : a]: (Y3)) @ Y0 @ Y1) @ 787.01/100.38 ((^[Y2 : a,Y3 : a]: (Y2)) @ Y0 @ Y1))) @ 787.01/100.38 '#sk1') @ 787.01/100.38 ('#sk351' @ 787.01/100.38 (^[Y0 : a,Y1 : a]: 787.01/100.38 ('#sk1' @ ((^[Y2 : a,Y3 : a]: (Y3)) @ Y0 @ Y1) @ 787.01/100.38 ((^[Y2 : a,Y3 : a]: (Y2)) @ Y0 @ Y1))) @ 787.01/100.38 '#sk1')))), 787.01/100.38 inference('sup+', [status(thm)], [zip_derived_cl2220, zip_derived_cl1842])). 787.01/100.38 thf(zip_derived_cl9763, plain, 787.01/100.38 (( ('#sk1' @ '#sk3' @ '#sk2') 787.01/100.38 | ('#sk1' @ '#sk3' @ '#sk2') 787.01/100.38 | ('#sk1' @ 787.01/100.38 ('#sk290' @ (^[Y0 : a,Y1 : a]: ('#sk1' @ Y1 @ Y0)) @ '#sk1') @ 787.01/100.38 ('#sk351' @ (^[Y0 : a,Y1 : a]: ('#sk1' @ Y1 @ Y0)) @ '#sk1')))), 787.01/100.38 inference('ho_norm', [status(thm)], [zip_derived_cl9679])). 787.01/100.38 thf(zip_derived_cl925, plain, (~ ('#sk1' @ '#sk3' @ '#sk2')), 787.01/100.38 inference('simpl_trail', [status(thm)], [zip_derived_cl37, '9'])). 787.01/100.38 thf(zip_derived_cl925, plain, (~ ('#sk1' @ '#sk3' @ '#sk2')), 787.01/100.38 inference('simpl_trail', [status(thm)], [zip_derived_cl37, '9'])). 787.01/100.38 thf(zip_derived_cl9764, plain, 787.01/100.38 ( ('#sk1' @ 787.01/100.38 ('#sk290' @ (^[Y0 : a,Y1 : a]: ('#sk1' @ Y1 @ Y0)) @ '#sk1') @ 787.01/100.38 ('#sk351' @ (^[Y0 : a,Y1 : a]: ('#sk1' @ Y1 @ Y0)) @ '#sk1'))), 787.01/100.38 inference('demod', [status(thm)], 787.01/100.38 [zip_derived_cl9763, zip_derived_cl925, zip_derived_cl925])). 787.01/100.38 thf(zip_derived_cl80, plain, 787.01/100.38 ((![X0 : a > a > $o, X1 : a > a > $o]: 787.01/100.38 (~ (X0 @ ('#sk351' @ X0 @ X1) @ ('#sk290' @ X0 @ X1)) 787.01/100.38 | ~ (X1 @ ('#sk178' @ X0 @ X1) @ ('#sk201' @ X0 @ X1)) 787.01/100.38 | (((X1 @ '#sk2' @ '#sk3') | (X0 @ '#sk2' @ '#sk3'))))) 787.01/100.38 <= (( (((!!) @ (^[Y0 : a > a > $o]: 787.01/100.38 (((((((!!) @ (^[Y1 : a]: 787.01/100.38 (((!!) @ (^[Y2 : a]: 787.01/100.38 ((('#sk1' @ Y1 @ Y2) => 787.01/100.38 (Y0 @ Y1 @ Y2))))))))) & 787.01/100.38 (((!!) @ (^[Y1 : a]: 787.01/100.38 (((!!) @ (^[Y2 : a]: 787.01/100.38 (((Y0 @ Y1 @ Y2) => 787.01/100.38 (Y0 @ Y2 @ Y1))))))))))) => 787.01/100.38 (Y0 @ '#sk2' @ '#sk3'))))))))), 787.01/100.38 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl72])). 787.01/100.38 thf(zip_derived_cl86, plain, 787.01/100.38 ((![X0 : a > a > $o, X1 : a > a > $o]: 787.01/100.38 ( (X1 @ '#sk2' @ '#sk3') 787.01/100.38 | (X0 @ '#sk2' @ '#sk3') 787.01/100.38 | ~ (X1 @ ('#sk178' @ X0 @ X1) @ ('#sk201' @ X0 @ X1)) 787.01/100.38 | ~ (X0 @ ('#sk351' @ X0 @ X1) @ ('#sk290' @ X0 @ X1)))) 787.01/100.38 <= (( (((!!) @ (^[Y0 : a > a > $o]: 787.01/100.38 (((((((!!) @ (^[Y1 : a]: 787.01/100.38 (((!!) @ (^[Y2 : a]: 787.01/100.38 ((('#sk1' @ Y1 @ Y2) => 787.01/100.38 (Y0 @ Y1 @ Y2))))))))) & 787.01/100.38 (((!!) @ (^[Y1 : a]: 787.01/100.38 (((!!) @ (^[Y2 : a]: 787.01/100.38 (((Y0 @ Y1 @ Y2) => 787.01/100.38 (Y0 @ Y2 @ Y1))))))))))) => 787.01/100.38 (Y0 @ '#sk2' @ '#sk3'))))))))), 787.01/100.38 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl80])). 787.01/100.38 thf('12', plain, 787.01/100.38 (( (((!!) @ (^[Y0 : a > a > $o]: 787.01/100.38 (((((((!!) @ (^[Y1 : a]: 787.01/100.38 (((!!) @ (^[Y2 : a]: 787.01/100.38 ((('#sk1' @ Y1 @ Y2) => (Y0 @ 787.01/100.38 Y1 @ Y2))))))))) & 787.01/100.38 (((!!) @ (^[Y1 : a]: 787.01/100.38 (((!!) @ (^[Y2 : a]: 787.01/100.38 (((Y0 @ Y1 @ Y2) => (Y0 @ 787.01/100.38 Y2 @ Y1))))))))))) => 787.01/100.38 (Y0 @ '#sk2' @ '#sk3')))))))), 787.01/100.38 inference('sat_resolution*', [status(thm)], 787.01/100.38 ['0', '1', '2', '3', '4', '5'])). 787.01/100.38 thf(zip_derived_cl2567, plain, 787.01/100.38 (![X0 : a > a > $o, X1 : a > a > $o]: 787.01/100.38 ( (X1 @ '#sk2' @ '#sk3') 787.01/100.38 | (X0 @ '#sk2' @ '#sk3') 787.01/100.38 | ~ (X1 @ ('#sk178' @ X0 @ X1) @ ('#sk201' @ X0 @ X1)) 787.01/100.38 | ~ (X0 @ ('#sk351' @ X0 @ X1) @ ('#sk290' @ X0 @ X1)))), 787.01/100.38 inference('simpl_trail', [status(thm)], [zip_derived_cl86, '12'])). 787.01/100.38 thf(zip_derived_cl10377, plain, 787.01/100.38 ((~ ('#sk1' @ 787.01/100.38 ('#sk178' @ 787.01/100.38 (^[Y0 : a,Y1 : a]: 787.01/100.38 ('#sk1' @ ((^[Y2 : a,Y3 : a]: (Y3)) @ Y0 @ Y1) @ 787.01/100.38 ((^[Y2 : a,Y3 : a]: (Y2)) @ Y0 @ Y1))) @ 787.01/100.38 '#sk1') @ 787.01/100.38 ('#sk201' @ 787.01/100.38 (^[Y0 : a,Y1 : a]: 787.01/100.38 ('#sk1' @ ((^[Y2 : a,Y3 : a]: (Y3)) @ Y0 @ Y1) @ 787.01/100.38 ((^[Y2 : a,Y3 : a]: (Y2)) @ Y0 @ Y1))) @ 787.01/100.38 '#sk1')) 787.01/100.38 | ((^[Y0 : a,Y1 : a]: 787.01/100.38 ('#sk1' @ ((^[Y2 : a,Y3 : a]: (Y3)) @ Y0 @ Y1) @ 787.01/100.38 ((^[Y2 : a,Y3 : a]: (Y2)) @ Y0 @ Y1))) @ 787.01/100.38 '#sk2' @ '#sk3') 787.01/100.38 | ('#sk1' @ '#sk2' @ '#sk3'))), 787.01/100.38 inference('sup-', [status(thm)], [zip_derived_cl9764, zip_derived_cl2567])). 787.01/100.38 thf(zip_derived_cl10389, plain, 787.01/100.38 ((~ ('#sk1' @ 787.01/100.38 ('#sk178' @ (^[Y0 : a,Y1 : a]: ('#sk1' @ Y1 @ Y0)) @ '#sk1') @ 787.01/100.38 ('#sk201' @ (^[Y0 : a,Y1 : a]: ('#sk1' @ Y1 @ Y0)) @ '#sk1')) 787.01/100.38 | ('#sk1' @ '#sk3' @ '#sk2') 787.01/100.38 | ('#sk1' @ '#sk2' @ '#sk3'))), 787.01/100.38 inference('ho_norm', [status(thm)], [zip_derived_cl10377])). 787.01/100.38 thf(zip_derived_cl925, plain, (~ ('#sk1' @ '#sk3' @ '#sk2')), 787.01/100.38 inference('simpl_trail', [status(thm)], [zip_derived_cl37, '9'])). 787.01/100.38 thf(zip_derived_cl1004, plain, (~ ('#sk1' @ '#sk2' @ '#sk3')), 787.01/100.38 inference('simpl_trail', [status(thm)], [zip_derived_cl1002, '10'])). 787.01/100.38 thf(zip_derived_cl10390, plain, 787.01/100.38 (~ ('#sk1' @ 787.01/100.38 ('#sk178' @ (^[Y0 : a,Y1 : a]: ('#sk1' @ Y1 @ Y0)) @ '#sk1') @ 787.01/100.38 ('#sk201' @ (^[Y0 : a,Y1 : a]: ('#sk1' @ Y1 @ Y0)) @ '#sk1'))), 787.01/100.38 inference('demod', [status(thm)], 787.01/100.38 [zip_derived_cl10389, zip_derived_cl925, zip_derived_cl1004])). 787.01/100.38 thf(zip_derived_cl10397, plain, 787.01/100.38 (( ((^[Y0 : a,Y1 : a]: ('#sk1' @ Y1 @ Y0)) @ '#sk2' @ '#sk3') 787.01/100.38 | ('#sk1' @ '#sk2' @ '#sk3') 787.01/100.38 | ~ ((^[Y0 : a,Y1 : a]: ('#sk1' @ Y1 @ Y0)) @ 787.01/100.38 ('#sk351' @ (^[Y0 : a,Y1 : a]: ('#sk1' @ Y1 @ Y0)) @ '#sk1') @ 787.01/100.38 ('#sk290' @ (^[Y0 : a,Y1 : a]: ('#sk1' @ Y1 @ Y0)) @ '#sk1')))), 787.01/100.38 inference('sup-', [status(thm)], 787.01/100.38 [zip_derived_cl1027, zip_derived_cl10390])). 787.01/100.38 thf(zip_derived_cl10403, plain, 787.01/100.38 (( ('#sk1' @ '#sk3' @ '#sk2') 787.01/100.38 | ('#sk1' @ '#sk2' @ '#sk3') 787.01/100.38 | ~ ('#sk1' @ 787.01/100.38 ('#sk290' @ (^[Y0 : a,Y1 : a]: ('#sk1' @ Y1 @ Y0)) @ '#sk1') @ 787.01/100.38 ('#sk351' @ (^[Y0 : a,Y1 : a]: ('#sk1' @ Y1 @ Y0)) @ '#sk1')))), 787.01/100.38 inference('ho_norm', [status(thm)], [zip_derived_cl10397])). 787.01/100.38 thf(zip_derived_cl925, plain, (~ ('#sk1' @ '#sk3' @ '#sk2')), 787.01/100.38 inference('simpl_trail', [status(thm)], [zip_derived_cl37, '9'])). 787.01/100.38 thf(zip_derived_cl1004, plain, (~ ('#sk1' @ '#sk2' @ '#sk3')), 787.01/100.38 inference('simpl_trail', [status(thm)], [zip_derived_cl1002, '10'])). 787.01/100.38 thf(zip_derived_cl9764, plain, 787.01/100.38 ( ('#sk1' @ 787.01/100.38 ('#sk290' @ (^[Y0 : a,Y1 : a]: ('#sk1' @ Y1 @ Y0)) @ '#sk1') @ 787.01/100.38 ('#sk351' @ (^[Y0 : a,Y1 : a]: ('#sk1' @ Y1 @ Y0)) @ '#sk1'))), 787.01/100.38 inference('demod', [status(thm)], 787.01/100.38 [zip_derived_cl9763, zip_derived_cl925, zip_derived_cl925])). 787.01/100.38 thf(zip_derived_cl10404, plain, ($false), 787.01/100.38 inference('demod', [status(thm)], 787.01/100.38 [zip_derived_cl10403, zip_derived_cl925, zip_derived_cl1004, 787.01/100.38 zip_derived_cl9764])). 787.01/100.38 787.01/100.38 % SZS output end Refutation 787.01/100.38 787.01/100.38 787.01/100.38 % Terminating... 787.43/100.47 % Runner terminated. 787.43/100.49 % Zipperpin 1.5 exiting 787.43/100.49 EOF