0.07/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.07/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.ueYI3oi35E true 0.13/0.35 % Computer : n020.cluster.edu 0.13/0.35 % Model : x86_64 x86_64 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.13/0.35 % Memory : 8042.1875MB 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64 0.13/0.35 % CPULimit : 960 0.13/0.35 % WCLimit : 120 0.13/0.35 % DateTime : Tue Aug 9 03:28:05 EDT 2022 0.13/0.35 % CPUTime : 0.13/0.35 % Running portfolio for 960 s 0.13/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p 0.13/0.35 % Number of cores: 8 0.13/0.35 % Python version: Python 3.6.8 0.13/0.35 % Running in HO mode 0.55/0.68 % Total configuration time : 828 0.55/0.68 % Estimated wc time : 1656 0.55/0.68 % Estimated cpu time (8 cpus) : 207.0 0.55/0.75 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s 0.55/0.76 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s 0.56/0.79 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s 0.56/0.79 % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s 0.56/0.79 % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s 0.56/0.82 % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s 0.56/0.83 % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s 0.56/0.87 % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s 233.39/30.88 % /export/starexec/sandbox2/solver/bin/lams/30_b.l.sh running for 90s 309.76/40.99 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif.sh running for 56s 463.22/61.00 % /export/starexec/sandbox2/solver/bin/lams/15_old_s4.sh running for 30s 539.79/70.93 % /export/starexec/sandbox2/solver/bin/lams/15_lifting3.sh running for 30s 539.79/71.08 % /export/starexec/sandbox2/solver/bin/lams/33_shallow_sine.sh running for 66s 613.54/80.56 % /export/starexec/sandbox2/solver/bin/lams/40_e_lift.sh running for 80s 614.66/80.81 % /export/starexec/sandbox2/solver/bin/lams/15_lifting1.sh running for 30s 614.66/80.83 % /export/starexec/sandbox2/solver/bin/lams/8_new_cnf.sh running for 16s 614.66/80.91 % /export/starexec/sandbox2/solver/bin/lams/10_e_short2.sh running for 20s 692.73/90.74 % /export/starexec/sandbox2/solver/bin/lams/8_add_var_l_av.sh running for 16s 694.70/91.06 % /export/starexec/sandbox2/solver/bin/lams/8_new_sh_or.sh running for 16s 724.30/94.82 % Solved by lams/8_new_sh_or.sh. 724.30/94.82 % done 184 iterations in 3.710s 724.30/94.82 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p' 724.30/94.82 % SZS output start Refutation 724.30/94.82 thf(a_type, type, a: $tType). 724.30/94.82 thf('#sk3_type', type, '#sk3': a). 724.30/94.82 thf('#sk290_type', type, '#sk290': (a > a > $o) > (a > a > $o) > a). 724.30/94.82 thf('#sk1_type', type, '#sk1': a > a > $o). 724.30/94.82 thf('#sk178_type', type, '#sk178': (a > a > $o) > (a > a > $o) > a). 724.30/94.82 thf('#sk201_type', type, '#sk201': (a > a > $o) > (a > a > $o) > a). 724.30/94.82 thf('#sk351_type', type, '#sk351': (a > a > $o) > (a > a > $o) > a). 724.30/94.82 thf('#sk141_type', type, '#sk141': a > a > $o). 724.30/94.82 thf('#sk2_type', type, '#sk2': a). 724.30/94.82 thf(cTHM522_pme, conjecture, 724.30/94.82 (![Xr:( a > a > $o ),Xx:a,Xy:a]: 724.30/94.82 ( ( ![Xp:( a > a > $o )]: 724.30/94.82 ( ( ( ![Xx0:a,Xy0:a]: ( ( Xr @ Xx0 @ Xy0 ) => ( Xp @ Xx0 @ Xy0 ) ) ) & 724.30/94.82 ( ![Xx0:a,Xy0:a]: ( ( Xp @ Xx0 @ Xy0 ) => ( Xp @ Xy0 @ Xx0 ) ) ) ) => 724.30/94.82 ( Xp @ Xx @ Xy ) ) ) <=> 724.30/94.82 ( ( Xr @ Xy @ Xx ) | ( Xr @ Xx @ Xy ) ) ))). 724.30/94.82 thf(zf_stmt_0, negated_conjecture, 724.30/94.82 (~( ![Xr:( a > a > $o ),Xx:a,Xy:a]: 724.30/94.82 ( ( ![Xp:( a > a > $o )]: 724.30/94.82 ( ( ( ![Xx0:a,Xy0:a]: ( ( Xr @ Xx0 @ Xy0 ) => ( Xp @ Xx0 @ Xy0 ) ) ) & 724.30/94.82 ( ![Xx0:a,Xy0:a]: ( ( Xp @ Xx0 @ Xy0 ) => ( Xp @ Xy0 @ Xx0 ) ) ) ) => 724.30/94.82 ( Xp @ Xx @ Xy ) ) ) <=> 724.30/94.82 ( ( Xr @ Xy @ Xx ) | ( Xr @ Xx @ Xy ) ) ) )), 724.30/94.82 inference('cnf.neg', [status(esa)], [cTHM522_pme])). 724.30/94.82 thf(zip_derived_cl0, plain, 724.30/94.82 (~ (((!!) @ (^[Y0 : a > a > $o]: 724.30/94.82 (((!!) @ (^[Y1 : a]: 724.30/94.82 (((!!) @ (^[Y2 : a]: 724.30/94.82 (((((!!) @ (^[Y3 : a > a > $o]: 724.30/94.82 (((((((!!) @ ( 724.30/94.82 ^[Y4 : a]: 724.30/94.82 (((!!) @ ( 724.30/94.82 ^[Y5 : a]: 724.30/94.82 (( 724.30/94.82 (Y0 @ 724.30/94.82 Y4 @ 724.30/94.82 Y5) => 724.30/94.82 (Y3 @ 724.30/94.82 Y4 @ Y5))))))))) & 724.30/94.82 (((!!) @ ( 724.30/94.82 ^[Y4 : a]: 724.30/94.82 (((!!) @ ( 724.30/94.82 ^[Y5 : a]: 724.30/94.82 (( 724.30/94.82 (Y3 @ 724.30/94.82 Y4 @ 724.30/94.82 Y5) => 724.30/94.82 (Y3 @ 724.30/94.82 Y5 @ Y4))))))))))) => 724.30/94.82 (Y3 @ Y1 @ Y2)))))) <=> 724.30/94.82 (((Y0 @ Y2 @ Y1) | (Y0 @ Y1 @ 724.30/94.82 Y2))))))))))))))), 724.30/94.82 inference('cnf', [status(esa)], [zf_stmt_0])). 724.30/94.82 thf(zip_derived_cl1, plain, 724.30/94.82 (~ (((!!) @ (^[Y0 : a]: 724.30/94.82 (((!!) @ (^[Y1 : a]: 724.30/94.82 (((((!!) @ (^[Y2 : a > a > $o]: 724.30/94.82 (((((((!!) @ (^[Y3 : a]: 724.30/94.82 (((!!) @ ( 724.30/94.82 ^[Y4 : a]: 724.30/94.82 ((('#sk1' @ 724.30/94.82 Y3 @ 724.30/94.82 Y4) => 724.30/94.82 (Y2 @ 724.30/94.82 Y3 @ Y4))))))))) & 724.30/94.82 (((!!) @ (^[Y3 : a]: 724.30/94.82 (((!!) @ ( 724.30/94.82 ^[Y4 : a]: 724.30/94.82 (((Y2 @ 724.30/94.82 Y3 @ 724.30/94.82 Y4) => 724.30/94.82 (Y2 @ 724.30/94.82 Y4 @ Y3))))))))))) => 724.30/94.82 (Y2 @ Y0 @ Y1)))))) <=> 724.30/94.82 ((('#sk1' @ Y1 @ Y0) | ('#sk1' @ Y0 @ Y1)))))))))))), 724.30/94.82 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl0])). 724.30/94.82 thf(zip_derived_cl2, plain, 724.30/94.82 (~ (((!!) @ (^[Y0 : a]: 724.30/94.82 (((((!!) @ (^[Y1 : a > a > $o]: 724.30/94.82 (((((((!!) @ (^[Y2 : a]: 724.30/94.82 (((!!) @ (^[Y3 : a]: 724.30/94.82 ((('#sk1' @ 724.30/94.82 Y2 @ Y3) => 724.30/94.82 (Y1 @ Y2 @ Y3))))))))) & 724.30/94.82 (((!!) @ (^[Y2 : a]: 724.30/94.82 (((!!) @ (^[Y3 : a]: 724.30/94.82 (((Y1 @ Y2 @ 724.30/94.82 Y3) => (Y1 @ 724.30/94.82 Y3 @ Y2))))))))))) => 724.30/94.82 (Y1 @ '#sk2' @ Y0)))))) <=> 724.30/94.82 ((('#sk1' @ Y0 @ '#sk2') | ('#sk1' @ '#sk2' @ Y0))))))))), 724.30/94.82 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl1])). 724.30/94.82 thf(zip_derived_cl3, plain, 724.30/94.82 (~ (((((!!) @ (^[Y0 : a > a > $o]: 724.30/94.82 (((((((!!) @ (^[Y1 : a]: 724.30/94.82 (((!!) @ (^[Y2 : a]: 724.30/94.82 ((('#sk1' @ Y1 @ Y2) => 724.30/94.82 (Y0 @ Y1 @ Y2))))))))) & 724.30/94.82 (((!!) @ (^[Y1 : a]: 724.30/94.82 (((!!) @ (^[Y2 : a]: 724.30/94.82 (((Y0 @ Y1 @ Y2) => (Y0 @ 724.30/94.82 Y2 @ Y1))))))))))) => 724.30/94.82 (Y0 @ '#sk2' @ '#sk3')))))) <=> 724.30/94.82 ((('#sk1' @ '#sk3' @ '#sk2') | ('#sk1' @ '#sk2' @ '#sk3')))))), 724.30/94.82 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl2])). 724.30/94.82 thf(zip_derived_cl4, plain, 724.30/94.82 (((((!!) @ (^[Y0 : a > a > $o]: 724.30/94.82 (((((((!!) @ (^[Y1 : a]: 724.30/94.82 (((!!) @ (^[Y2 : a]: 724.30/94.82 ((('#sk1' @ Y1 @ Y2) => (Y0 @ 724.30/94.82 Y1 @ Y2))))))))) & 724.30/94.82 (((!!) @ (^[Y1 : a]: 724.30/94.82 (((!!) @ (^[Y2 : a]: 724.30/94.82 (((Y0 @ Y1 @ Y2) => (Y0 @ Y2 @ 724.30/94.82 Y1))))))))))) => 724.30/94.82 (Y0 @ '#sk2' @ '#sk3')))))) 724.30/94.82 != ((('#sk1' @ '#sk3' @ '#sk2') | ('#sk1' @ '#sk2' @ '#sk3'))))), 724.30/94.82 inference('simplify nested equalities', [status(thm)], [zip_derived_cl3])). 724.30/94.82 thf(zip_derived_cl5, plain, 724.30/94.82 (( (((!!) @ (^[Y0 : a > a > $o]: 724.30/94.82 (((((((!!) @ (^[Y1 : a]: 724.30/94.82 (((!!) @ (^[Y2 : a]: 724.30/94.82 ((('#sk1' @ Y1 @ Y2) => (Y0 @ 724.30/94.82 Y1 @ Y2))))))))) & 724.30/94.82 (((!!) @ (^[Y1 : a]: 724.30/94.82 (((!!) @ (^[Y2 : a]: 724.30/94.82 (((Y0 @ Y1 @ Y2) => (Y0 @ 724.30/94.82 Y2 @ Y1))))))))))) => 724.30/94.82 (Y0 @ '#sk2' @ '#sk3')))))) 724.30/94.82 | ((('#sk1' @ '#sk3' @ '#sk2') | ('#sk1' @ '#sk2' @ '#sk3'))))), 724.30/94.82 inference('eq_elim', [status(thm)], [zip_derived_cl4])). 724.30/94.82 thf(zip_derived_cl8, plain, 724.30/94.82 (( (((!!) @ (^[Y0 : a > a > $o]: 724.30/94.82 (((((((!!) @ (^[Y1 : a]: 724.30/94.82 (((!!) @ (^[Y2 : a]: 724.30/94.82 ((('#sk1' @ Y1 @ Y2) => (Y0 @ 724.30/94.82 Y1 @ Y2))))))))) & 724.30/94.82 (((!!) @ (^[Y1 : a]: 724.30/94.82 (((!!) @ (^[Y2 : a]: 724.30/94.82 (((Y0 @ Y1 @ Y2) => (Y0 @ 724.30/94.82 Y2 @ Y1))))))))))) => 724.30/94.82 (Y0 @ '#sk2' @ '#sk3'))))))) 724.30/94.82 <= (( (((!!) @ (^[Y0 : a > a > $o]: 724.30/94.82 (((((((!!) @ (^[Y1 : a]: 724.30/94.82 (((!!) @ (^[Y2 : a]: 724.30/94.82 ((('#sk1' @ Y1 @ Y2) => 724.30/94.82 (Y0 @ Y1 @ Y2))))))))) & 724.30/94.82 (((!!) @ (^[Y1 : a]: 724.30/94.82 (((!!) @ (^[Y2 : a]: 724.30/94.82 (((Y0 @ Y1 @ Y2) => 724.30/94.82 (Y0 @ Y2 @ Y1))))))))))) => 724.30/94.82 (Y0 @ '#sk2' @ '#sk3'))))))))), 724.30/94.82 inference('split', [status(esa)], [zip_derived_cl5])). 724.30/94.82 thf(zip_derived_cl10, plain, 724.30/94.82 ((![X2 : a > a > $o]: 724.30/94.82 (((((((!!) @ (^[Y0 : a]: 724.30/94.82 (((!!) @ (^[Y1 : a]: 724.30/94.82 ((('#sk1' @ Y0 @ Y1) => (X2 @ Y0 @ Y1))))))))) & 724.30/94.82 (((!!) @ (^[Y0 : a]: 724.30/94.82 (((!!) @ (^[Y1 : a]: 724.30/94.82 (((X2 @ Y0 @ Y1) => (X2 @ Y1 @ Y0))))))))))) => 724.30/94.82 (X2 @ '#sk2' @ '#sk3')))) 724.30/94.82 <= (( (((!!) @ (^[Y0 : a > a > $o]: 724.30/94.82 (((((((!!) @ (^[Y1 : a]: 724.30/94.82 (((!!) @ (^[Y2 : a]: 724.30/94.82 ((('#sk1' @ Y1 @ Y2) => 724.30/94.82 (Y0 @ Y1 @ Y2))))))))) & 724.30/94.82 (((!!) @ (^[Y1 : a]: 724.30/94.82 (((!!) @ (^[Y2 : a]: 724.30/94.82 (((Y0 @ Y1 @ Y2) => 724.30/94.82 (Y0 @ Y2 @ Y1))))))))))) => 724.30/94.82 (Y0 @ '#sk2' @ '#sk3'))))))))), 724.30/94.82 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl8])). 724.30/94.82 thf(zip_derived_cl11, plain, 724.30/94.82 ((![X0 : a > a > $o, X1 : a > a > $o]: 724.30/94.82 (((((((!!) @ (^[Y0 : a]: 724.30/94.82 (((!!) @ (^[Y1 : a]: 724.30/94.82 ((('#sk1' @ Y0 @ Y1) => 724.30/94.82 (((X1 @ Y0 @ Y1) | (X0 @ Y0 @ Y1))))))))))) & 724.30/94.82 (((!!) @ (^[Y0 : a]: 724.30/94.82 (((!!) @ (^[Y1 : a]: 724.30/94.82 (((((X1 @ Y0 @ Y1) | (X0 @ Y0 @ Y1))) => 724.30/94.82 (((X1 @ Y1 @ Y0) | (X0 @ Y1 @ Y0))))))))))))) => 724.30/94.82 (((X1 @ '#sk2' @ '#sk3') | (X0 @ '#sk2' @ '#sk3')))))) 724.30/94.82 <= (( (((!!) @ (^[Y0 : a > a > $o]: 724.30/94.82 (((((((!!) @ (^[Y1 : a]: 724.30/94.82 (((!!) @ (^[Y2 : a]: 724.30/94.82 ((('#sk1' @ Y1 @ Y2) => 724.30/94.82 (Y0 @ Y1 @ Y2))))))))) & 724.30/94.82 (((!!) @ (^[Y1 : a]: 724.30/94.82 (((!!) @ (^[Y2 : a]: 724.30/94.82 (((Y0 @ Y1 @ Y2) => 724.30/94.82 (Y0 @ Y2 @ Y1))))))))))) => 724.30/94.82 (Y0 @ '#sk2' @ '#sk3'))))))))), 724.30/94.82 inference('ho.refine.early.bird', [status(thm)], [zip_derived_cl10])). 724.30/94.82 thf(zip_derived_cl54, plain, 724.30/94.82 ((![X0 : a > a > $o, X1 : a > a > $o]: 724.30/94.82 (~ (((((!!) @ (^[Y0 : a]: 724.30/94.82 (((!!) @ (^[Y1 : a]: 724.30/94.82 ((('#sk1' @ Y0 @ Y1) => 724.30/94.82 (((X1 @ Y0 @ Y1) | (X0 @ Y0 @ Y1))))))))))) & 724.30/94.82 (((!!) @ (^[Y0 : a]: 724.30/94.82 (((!!) @ (^[Y1 : a]: 724.30/94.82 (((((X1 @ Y0 @ Y1) | (X0 @ Y0 @ Y1))) => 724.30/94.82 (((X1 @ Y1 @ Y0) | (X0 @ Y1 @ Y0))))))))))))) 724.30/94.82 | (((X1 @ '#sk2' @ '#sk3') | (X0 @ '#sk2' @ '#sk3'))))) 724.30/94.82 <= (( (((!!) @ (^[Y0 : a > a > $o]: 724.30/94.82 (((((((!!) @ (^[Y1 : a]: 724.30/94.82 (((!!) @ (^[Y2 : a]: 724.30/94.82 ((('#sk1' @ Y1 @ Y2) => 724.30/94.82 (Y0 @ Y1 @ Y2))))))))) & 724.30/94.82 (((!!) @ (^[Y1 : a]: 724.30/94.82 (((!!) @ (^[Y2 : a]: 724.30/94.82 (((Y0 @ Y1 @ Y2) => 724.30/94.82 (Y0 @ Y2 @ Y1))))))))))) => 724.30/94.82 (Y0 @ '#sk2' @ '#sk3'))))))))), 724.30/94.82 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl11])). 724.30/94.82 thf(zip_derived_cl55, plain, 724.30/94.82 ((![X0 : a > a > $o, X1 : a > a > $o]: 724.30/94.82 (~ (((!!) @ (^[Y0 : a]: 724.30/94.82 (((!!) @ (^[Y1 : a]: 724.30/94.82 ((('#sk1' @ Y0 @ Y1) => 724.30/94.82 (((X1 @ Y0 @ Y1) | (X0 @ Y0 @ Y1))))))))))) 724.30/94.82 | ~ (((!!) @ (^[Y0 : a]: 724.30/94.82 (((!!) @ (^[Y1 : a]: 724.30/94.82 (((((X1 @ Y0 @ Y1) | (X0 @ Y0 @ Y1))) => 724.30/94.82 (((X1 @ Y1 @ Y0) | (X0 @ Y1 @ Y0))))))))))) 724.30/94.82 | (((X1 @ '#sk2' @ '#sk3') | (X0 @ '#sk2' @ '#sk3'))))) 724.30/94.82 <= (( (((!!) @ (^[Y0 : a > a > $o]: 724.30/94.82 (((((((!!) @ (^[Y1 : a]: 724.30/94.82 (((!!) @ (^[Y2 : a]: 724.30/94.82 ((('#sk1' @ Y1 @ Y2) => 724.30/94.82 (Y0 @ Y1 @ Y2))))))))) & 724.30/94.82 (((!!) @ (^[Y1 : a]: 724.30/94.82 (((!!) @ (^[Y2 : a]: 724.30/94.82 (((Y0 @ Y1 @ Y2) => 724.30/94.82 (Y0 @ Y2 @ Y1))))))))))) => 724.30/94.82 (Y0 @ '#sk2' @ '#sk3'))))))))), 724.30/94.82 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl54])). 724.30/94.82 thf(zip_derived_cl56, plain, 724.30/94.82 ((![X0 : a > a > $o, X1 : a > a > $o]: 724.30/94.82 (~ (((!!) @ (^[Y0 : a]: 724.30/94.82 ((('#sk1' @ ('#sk178' @ X0 @ X1) @ Y0) => 724.30/94.82 (((X1 @ ('#sk178' @ X0 @ X1) @ Y0) | (X0 @ 724.30/94.82 ('#sk178' @ X0 @ X1) @ Y0)))))))) 724.30/94.82 | (((X1 @ '#sk2' @ '#sk3') | (X0 @ '#sk2' @ '#sk3'))) 724.30/94.82 | ~ (((!!) @ (^[Y0 : a]: 724.30/94.82 (((!!) @ (^[Y1 : a]: 724.30/94.82 (((((X1 @ Y0 @ Y1) | (X0 @ Y0 @ Y1))) => 724.30/94.82 (((X1 @ Y1 @ Y0) | (X0 @ Y1 @ Y0))))))))))))) 724.30/94.82 <= (( (((!!) @ (^[Y0 : a > a > $o]: 724.30/94.82 (((((((!!) @ (^[Y1 : a]: 724.30/94.82 (((!!) @ (^[Y2 : a]: 724.30/94.82 ((('#sk1' @ Y1 @ Y2) => 724.30/94.82 (Y0 @ Y1 @ Y2))))))))) & 724.30/94.82 (((!!) @ (^[Y1 : a]: 724.30/94.82 (((!!) @ (^[Y2 : a]: 724.30/94.82 (((Y0 @ Y1 @ Y2) => 724.30/94.82 (Y0 @ Y2 @ Y1))))))))))) => 724.30/94.82 (Y0 @ '#sk2' @ '#sk3'))))))))), 724.30/94.82 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl55])). 724.30/94.82 thf(zip_derived_cl57, plain, 724.30/94.82 ((![X0 : a > a > $o, X1 : a > a > $o]: 724.30/94.82 (~ ((('#sk1' @ ('#sk178' @ X0 @ X1) @ ('#sk201' @ X0 @ X1)) => 724.30/94.82 (((X1 @ ('#sk178' @ X0 @ X1) @ ('#sk201' @ X0 @ X1)) | (X0 @ 724.30/94.82 ('#sk178' @ X0 @ X1) @ ('#sk201' @ X0 @ X1)))))) 724.30/94.82 | ~ (((!!) @ (^[Y0 : a]: 724.30/94.82 (((!!) @ (^[Y1 : a]: 724.30/94.82 (((((X1 @ Y0 @ Y1) | (X0 @ Y0 @ Y1))) => 724.30/94.82 (((X1 @ Y1 @ Y0) | (X0 @ Y1 @ Y0))))))))))) 724.30/94.82 | (((X1 @ '#sk2' @ '#sk3') | (X0 @ '#sk2' @ '#sk3'))))) 724.30/94.82 <= (( (((!!) @ (^[Y0 : a > a > $o]: 724.30/94.82 (((((((!!) @ (^[Y1 : a]: 724.30/94.82 (((!!) @ (^[Y2 : a]: 724.30/94.82 ((('#sk1' @ Y1 @ Y2) => 724.30/94.82 (Y0 @ Y1 @ Y2))))))))) & 724.30/94.82 (((!!) @ (^[Y1 : a]: 724.30/94.82 (((!!) @ (^[Y2 : a]: 724.30/94.82 (((Y0 @ Y1 @ Y2) => 724.30/94.82 (Y0 @ Y2 @ Y1))))))))))) => 724.30/94.82 (Y0 @ '#sk2' @ '#sk3'))))))))), 724.30/94.82 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl56])). 724.30/94.82 thf(zip_derived_cl58, plain, 724.30/94.82 ((![X0 : a > a > $o, X1 : a > a > $o]: 724.30/94.82 ( ('#sk1' @ ('#sk178' @ X0 @ X1) @ ('#sk201' @ X0 @ X1)) 724.30/94.82 | (((X1 @ '#sk2' @ '#sk3') | (X0 @ '#sk2' @ '#sk3'))) 724.30/94.82 | ~ (((!!) @ (^[Y0 : a]: 724.30/94.82 (((!!) @ (^[Y1 : a]: 724.30/94.82 (((((X1 @ Y0 @ Y1) | (X0 @ Y0 @ Y1))) => 724.30/94.82 (((X1 @ Y1 @ Y0) | (X0 @ Y1 @ Y0))))))))))))) 724.30/94.82 <= (( (((!!) @ (^[Y0 : a > a > $o]: 724.30/94.82 (((((((!!) @ (^[Y1 : a]: 724.30/94.82 (((!!) @ (^[Y2 : a]: 724.30/94.82 ((('#sk1' @ Y1 @ Y2) => 724.30/94.82 (Y0 @ Y1 @ Y2))))))))) & 724.30/94.82 (((!!) @ (^[Y1 : a]: 724.30/94.82 (((!!) @ (^[Y2 : a]: 724.30/94.82 (((Y0 @ Y1 @ Y2) => 724.30/94.82 (Y0 @ Y2 @ Y1))))))))))) => 724.30/94.82 (Y0 @ '#sk2' @ '#sk3'))))))))), 724.30/94.82 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl57])). 724.30/94.82 thf(zip_derived_cl60, plain, 724.30/94.82 ((![X0 : a > a > $o, X1 : a > a > $o]: 724.30/94.82 ( (X1 @ '#sk2' @ '#sk3') 724.30/94.82 | (X0 @ '#sk2' @ '#sk3') 724.30/94.82 | ~ (((!!) @ (^[Y0 : a]: 724.30/94.82 (((!!) @ (^[Y1 : a]: 724.30/94.82 (((((X1 @ Y0 @ Y1) | (X0 @ Y0 @ Y1))) => 724.30/94.82 (((X1 @ Y1 @ Y0) | (X0 @ Y1 @ Y0))))))))))) 724.30/94.82 | ('#sk1' @ ('#sk178' @ X0 @ X1) @ ('#sk201' @ X0 @ X1)))) 724.30/94.82 <= (( (((!!) @ (^[Y0 : a > a > $o]: 724.30/94.82 (((((((!!) @ (^[Y1 : a]: 724.30/94.82 (((!!) @ (^[Y2 : a]: 724.30/94.82 ((('#sk1' @ Y1 @ Y2) => 724.30/94.82 (Y0 @ Y1 @ Y2))))))))) & 724.30/94.82 (((!!) @ (^[Y1 : a]: 724.30/94.82 (((!!) @ (^[Y2 : a]: 724.30/94.82 (((Y0 @ Y1 @ Y2) => 724.30/94.82 (Y0 @ Y2 @ Y1))))))))))) => 724.30/94.82 (Y0 @ '#sk2' @ '#sk3'))))))))), 724.30/94.82 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl58])). 724.30/94.82 thf(zip_derived_cl63, plain, 724.30/94.82 ((![X0 : a > a > $o, X1 : a > a > $o]: 724.30/94.82 (~ (((!!) @ (^[Y0 : a]: 724.30/94.82 (((((X1 @ ('#sk290' @ X0 @ X1) @ Y0) | (X0 @ 724.30/94.82 ('#sk290' @ X0 @ X1) @ Y0))) => 724.30/94.82 (((X1 @ Y0 @ ('#sk290' @ X0 @ X1)) | (X0 @ Y0 @ 724.30/94.82 ('#sk290' @ X0 @ X1))))))))) 724.30/94.82 | ('#sk1' @ ('#sk178' @ X0 @ X1) @ ('#sk201' @ X0 @ X1)) 724.30/94.82 | (X0 @ '#sk2' @ '#sk3') 724.30/94.82 | (X1 @ '#sk2' @ '#sk3'))) 724.30/94.82 <= (( (((!!) @ (^[Y0 : a > a > $o]: 724.30/94.82 (((((((!!) @ (^[Y1 : a]: 724.30/94.82 (((!!) @ (^[Y2 : a]: 724.30/94.82 ((('#sk1' @ Y1 @ Y2) => 724.30/94.82 (Y0 @ Y1 @ Y2))))))))) & 724.30/94.82 (((!!) @ (^[Y1 : a]: 724.30/94.82 (((!!) @ (^[Y2 : a]: 724.30/94.82 (((Y0 @ Y1 @ Y2) => 724.30/94.82 (Y0 @ Y2 @ Y1))))))))))) => 724.30/94.82 (Y0 @ '#sk2' @ '#sk3'))))))))), 724.30/94.82 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl60])). 724.30/94.82 thf(zip_derived_cl66, plain, 724.30/94.82 ((![X0 : a > a > $o, X1 : a > a > $o]: 724.30/94.82 (~ (((((X1 @ ('#sk290' @ X0 @ X1) @ ('#sk351' @ X0 @ X1)) | (X0 @ 724.30/94.82 ('#sk290' @ X0 @ X1) @ ('#sk351' @ X0 @ X1)))) => 724.30/94.82 (((X1 @ ('#sk351' @ X0 @ X1) @ ('#sk290' @ X0 @ X1)) | (X0 @ 724.30/94.82 ('#sk351' @ X0 @ X1) @ ('#sk290' @ X0 @ X1)))))) 724.30/94.82 | (X1 @ '#sk2' @ '#sk3') 724.30/94.82 | (X0 @ '#sk2' @ '#sk3') 724.30/94.82 | ('#sk1' @ ('#sk178' @ X0 @ X1) @ ('#sk201' @ X0 @ X1)))) 724.30/94.82 <= (( (((!!) @ (^[Y0 : a > a > $o]: 724.30/94.82 (((((((!!) @ (^[Y1 : a]: 724.30/94.82 (((!!) @ (^[Y2 : a]: 724.30/94.82 ((('#sk1' @ Y1 @ Y2) => 724.30/94.82 (Y0 @ Y1 @ Y2))))))))) & 724.30/94.82 (((!!) @ (^[Y1 : a]: 724.30/94.82 (((!!) @ (^[Y2 : a]: 724.30/94.82 (((Y0 @ Y1 @ Y2) => 724.30/94.82 (Y0 @ Y2 @ Y1))))))))))) => 724.30/94.82 (Y0 @ '#sk2' @ '#sk3'))))))))), 724.30/94.82 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl63])). 724.30/94.82 thf(zip_derived_cl70, plain, 724.30/94.82 ((![X0 : a > a > $o, X1 : a > a > $o]: 724.30/94.82 (~ (((X1 @ ('#sk351' @ X0 @ X1) @ ('#sk290' @ X0 @ X1)) | (X0 @ 724.30/94.82 ('#sk351' @ X0 @ X1) @ ('#sk290' @ X0 @ X1)))) 724.30/94.82 | ('#sk1' @ ('#sk178' @ X0 @ X1) @ ('#sk201' @ X0 @ X1)) 724.30/94.82 | (X0 @ '#sk2' @ '#sk3') 724.30/94.82 | (X1 @ '#sk2' @ '#sk3'))) 724.30/94.82 <= (( (((!!) @ (^[Y0 : a > a > $o]: 724.30/94.82 (((((((!!) @ (^[Y1 : a]: 724.30/94.82 (((!!) @ (^[Y2 : a]: 724.30/94.82 ((('#sk1' @ Y1 @ Y2) => 724.30/94.82 (Y0 @ Y1 @ Y2))))))))) & 724.30/94.82 (((!!) @ (^[Y1 : a]: 724.30/94.82 (((!!) @ (^[Y2 : a]: 724.30/94.82 (((Y0 @ Y1 @ Y2) => 724.30/94.82 (Y0 @ Y2 @ Y1))))))))))) => 724.30/94.82 (Y0 @ '#sk2' @ '#sk3'))))))))), 724.30/94.82 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl66])). 724.30/94.82 thf(zip_derived_cl77, plain, 724.30/94.82 ((![X0 : a > a > $o, X1 : a > a > $o]: 724.30/94.82 (~ (X0 @ ('#sk351' @ X0 @ X1) @ ('#sk290' @ X0 @ X1)) 724.30/94.82 | (X1 @ '#sk2' @ '#sk3') 724.30/94.82 | (X0 @ '#sk2' @ '#sk3') 724.30/94.82 | ('#sk1' @ ('#sk178' @ X0 @ X1) @ ('#sk201' @ X0 @ X1)))) 724.30/94.82 <= (( (((!!) @ (^[Y0 : a > a > $o]: 724.30/94.82 (((((((!!) @ (^[Y1 : a]: 724.30/94.82 (((!!) @ (^[Y2 : a]: 724.30/94.82 ((('#sk1' @ Y1 @ Y2) => 724.30/94.82 (Y0 @ Y1 @ Y2))))))))) & 724.30/94.82 (((!!) @ (^[Y1 : a]: 724.30/94.82 (((!!) @ (^[Y2 : a]: 724.30/94.82 (((Y0 @ Y1 @ Y2) => 724.30/94.82 (Y0 @ Y2 @ Y1))))))))))) => 724.30/94.82 (Y0 @ '#sk2' @ '#sk3'))))))))), 724.30/94.82 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl70])). 724.30/94.82 thf(zip_derived_cl7, plain, 724.30/94.82 (( ((('#sk1' @ '#sk3' @ '#sk2') | ('#sk1' @ '#sk2' @ '#sk3')))) 724.30/94.82 <= (( ((('#sk1' @ '#sk3' @ '#sk2') | ('#sk1' @ '#sk2' @ '#sk3')))))), 724.30/94.82 inference('split', [status(esa)], [zip_derived_cl5])). 724.30/94.82 thf(zip_derived_cl9, plain, 724.30/94.82 ((( ('#sk1' @ '#sk3' @ '#sk2') | ('#sk1' @ '#sk2' @ '#sk3'))) 724.30/94.82 <= (( ((('#sk1' @ '#sk3' @ '#sk2') | ('#sk1' @ '#sk2' @ '#sk3')))))), 724.30/94.82 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl7])). 724.30/94.82 thf('0', plain, 724.30/94.82 (~ ( ((('#sk1' @ '#sk3' @ '#sk2') | ('#sk1' @ '#sk2' @ '#sk3')))) | 724.30/94.82 ( ('#sk1' @ '#sk3' @ '#sk2')) | ( ('#sk1' @ '#sk2' @ '#sk3'))), 724.30/94.82 inference('split', [status(esa)], [zip_derived_cl9])). 724.30/94.82 thf(zip_derived_cl14, plain, 724.30/94.82 (( ('#sk1' @ '#sk2' @ '#sk3')) <= (( ('#sk1' @ '#sk2' @ '#sk3')))), 724.30/94.82 inference('split', [status(esa)], [zip_derived_cl9])). 724.30/94.82 thf(zip_derived_cl4, plain, 724.30/94.82 (((((!!) @ (^[Y0 : a > a > $o]: 724.30/94.82 (((((((!!) @ (^[Y1 : a]: 724.30/94.82 (((!!) @ (^[Y2 : a]: 724.30/94.82 ((('#sk1' @ Y1 @ Y2) => (Y0 @ 724.30/94.82 Y1 @ Y2))))))))) & 724.30/94.82 (((!!) @ (^[Y1 : a]: 724.30/94.82 (((!!) @ (^[Y2 : a]: 724.30/94.82 (((Y0 @ Y1 @ Y2) => (Y0 @ Y2 @ 724.30/94.82 Y1))))))))))) => 724.30/94.82 (Y0 @ '#sk2' @ '#sk3')))))) 724.30/94.82 != ((('#sk1' @ '#sk3' @ '#sk2') | ('#sk1' @ '#sk2' @ '#sk3'))))), 724.30/94.82 inference('simplify nested equalities', [status(thm)], [zip_derived_cl3])). 724.30/94.82 thf(zip_derived_cl6, plain, 724.30/94.82 ((~ (((!!) @ (^[Y0 : a > a > $o]: 724.30/94.82 (((((((!!) @ (^[Y1 : a]: 724.30/94.82 (((!!) @ (^[Y2 : a]: 724.30/94.82 ((('#sk1' @ Y1 @ Y2) => 724.30/94.82 (Y0 @ Y1 @ Y2))))))))) & 724.30/94.82 (((!!) @ (^[Y1 : a]: 724.30/94.82 (((!!) @ (^[Y2 : a]: 724.30/94.82 (((Y0 @ Y1 @ Y2) => (Y0 @ 724.30/94.82 Y2 @ Y1))))))))))) => 724.30/94.82 (Y0 @ '#sk2' @ '#sk3')))))) 724.30/94.82 | ~ ((('#sk1' @ '#sk3' @ '#sk2') | ('#sk1' @ '#sk2' @ '#sk3'))))), 724.30/94.82 inference('eq_elim', [status(thm)], [zip_derived_cl4])). 724.30/94.82 thf(zip_derived_cl36, plain, 724.30/94.82 ((~ (((!!) @ (^[Y0 : a > a > $o]: 724.30/94.82 (((((((!!) @ (^[Y1 : a]: 724.30/94.82 (((!!) @ (^[Y2 : a]: 724.30/94.82 ((('#sk1' @ Y1 @ Y2) => 724.30/94.82 (Y0 @ Y1 @ Y2))))))))) & 724.30/94.82 (((!!) @ (^[Y1 : a]: 724.30/94.82 (((!!) @ (^[Y2 : a]: 724.30/94.82 (((Y0 @ Y1 @ Y2) => (Y0 @ 724.30/94.82 Y2 @ Y1))))))))))) => 724.30/94.82 (Y0 @ '#sk2' @ '#sk3'))))))) 724.30/94.82 <= (~ 724.30/94.82 ( (((!!) @ (^[Y0 : a > a > $o]: 724.30/94.82 (((((((!!) @ (^[Y1 : a]: 724.30/94.82 (((!!) @ (^[Y2 : a]: 724.30/94.82 ((('#sk1' @ Y1 @ Y2) => 724.30/94.82 (Y0 @ Y1 @ Y2))))))))) & 724.30/94.82 (((!!) @ (^[Y1 : a]: 724.30/94.82 (((!!) @ (^[Y2 : a]: 724.30/94.82 (((Y0 @ Y1 @ Y2) => 724.30/94.82 (Y0 @ Y2 @ Y1))))))))))) => 724.30/94.82 (Y0 @ '#sk2' @ '#sk3'))))))))), 724.30/94.82 inference('split', [status(esa)], [zip_derived_cl6])). 724.30/94.82 thf(zip_derived_cl39, plain, 724.30/94.82 ((~ (((((((!!) @ (^[Y0 : a]: 724.30/94.82 (((!!) @ (^[Y1 : a]: 724.30/94.82 ((('#sk1' @ Y0 @ Y1) => ('#sk141' @ Y0 @ 724.30/94.82 Y1))))))))) & 724.30/94.82 (((!!) @ (^[Y0 : a]: 724.30/94.82 (((!!) @ (^[Y1 : a]: 724.30/94.82 ((('#sk141' @ Y0 @ Y1) => ('#sk141' @ 724.30/94.82 Y1 @ Y0))))))))))) => 724.30/94.82 ('#sk141' @ '#sk2' @ '#sk3')))) 724.30/94.82 <= (~ 724.30/94.82 ( (((!!) @ (^[Y0 : a > a > $o]: 724.30/94.82 (((((((!!) @ (^[Y1 : a]: 724.30/94.82 (((!!) @ (^[Y2 : a]: 724.30/94.82 ((('#sk1' @ Y1 @ Y2) => 724.30/94.82 (Y0 @ Y1 @ Y2))))))))) & 724.30/94.82 (((!!) @ (^[Y1 : a]: 724.30/94.82 (((!!) @ (^[Y2 : a]: 724.30/94.82 (((Y0 @ Y1 @ Y2) => 724.30/94.82 (Y0 @ Y2 @ Y1))))))))))) => 724.30/94.82 (Y0 @ '#sk2' @ '#sk3'))))))))), 724.30/94.82 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl36])). 724.30/94.82 thf(zip_derived_cl40, plain, 724.30/94.82 (( (((((!!) @ (^[Y0 : a]: 724.30/94.82 (((!!) @ (^[Y1 : a]: 724.30/94.82 ((('#sk1' @ Y0 @ Y1) => ('#sk141' @ Y0 @ Y1))))))))) & 724.30/94.82 (((!!) @ (^[Y0 : a]: 724.30/94.82 (((!!) @ (^[Y1 : a]: 724.30/94.82 ((('#sk141' @ Y0 @ Y1) => ('#sk141' @ Y1 @ 724.30/94.82 Y0)))))))))))) 724.30/94.82 <= (~ 724.30/94.82 ( (((!!) @ (^[Y0 : a > a > $o]: 724.30/94.82 (((((((!!) @ (^[Y1 : a]: 724.30/94.82 (((!!) @ (^[Y2 : a]: 724.30/94.82 ((('#sk1' @ Y1 @ Y2) => 724.30/94.82 (Y0 @ Y1 @ Y2))))))))) & 724.30/94.82 (((!!) @ (^[Y1 : a]: 724.30/94.82 (((!!) @ (^[Y2 : a]: 724.30/94.82 (((Y0 @ Y1 @ Y2) => 724.30/94.82 (Y0 @ Y2 @ Y1))))))))))) => 724.30/94.82 (Y0 @ '#sk2' @ '#sk3'))))))))), 724.30/94.82 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl39])). 724.30/94.82 thf(zip_derived_cl42, plain, 724.30/94.82 (( (((!!) @ (^[Y0 : a]: 724.30/94.82 (((!!) @ (^[Y1 : a]: 724.30/94.82 ((('#sk1' @ Y0 @ Y1) => ('#sk141' @ Y0 @ Y1)))))))))) 724.30/94.82 <= (~ 724.30/94.82 ( (((!!) @ (^[Y0 : a > a > $o]: 724.30/94.82 (((((((!!) @ (^[Y1 : a]: 724.30/94.82 (((!!) @ (^[Y2 : a]: 724.30/94.82 ((('#sk1' @ Y1 @ Y2) => 724.30/94.82 (Y0 @ Y1 @ Y2))))))))) & 724.30/94.82 (((!!) @ (^[Y1 : a]: 724.30/94.82 (((!!) @ (^[Y2 : a]: 724.30/94.82 (((Y0 @ Y1 @ Y2) => 724.30/94.82 (Y0 @ Y2 @ Y1))))))))))) => 724.30/94.82 (Y0 @ '#sk2' @ '#sk3'))))))))), 724.30/94.82 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl40])). 724.30/94.82 thf(zip_derived_cl44, plain, 724.30/94.82 ((![X2 : a]: 724.30/94.82 (((!!) @ (^[Y0 : a]: ((('#sk1' @ X2 @ Y0) => ('#sk141' @ X2 @ Y0))))))) 724.30/94.82 <= (~ 724.30/94.82 ( (((!!) @ (^[Y0 : a > a > $o]: 724.30/94.82 (((((((!!) @ (^[Y1 : a]: 724.30/94.82 (((!!) @ (^[Y2 : a]: 724.30/94.82 ((('#sk1' @ Y1 @ Y2) => 724.30/94.82 (Y0 @ Y1 @ Y2))))))))) & 724.30/94.82 (((!!) @ (^[Y1 : a]: 724.30/94.82 (((!!) @ (^[Y2 : a]: 724.30/94.82 (((Y0 @ Y1 @ Y2) => 724.30/94.82 (Y0 @ Y2 @ Y1))))))))))) => 724.30/94.82 (Y0 @ '#sk2' @ '#sk3'))))))))), 724.30/94.82 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl42])). 724.30/94.82 thf(zip_derived_cl46, plain, 724.30/94.82 ((![X2 : a, X4 : a]: ((('#sk1' @ X2 @ X4) => ('#sk141' @ X2 @ X4)))) 724.30/94.82 <= (~ 724.30/94.82 ( (((!!) @ (^[Y0 : a > a > $o]: 724.30/94.82 (((((((!!) @ (^[Y1 : a]: 724.30/94.82 (((!!) @ (^[Y2 : a]: 724.30/94.82 ((('#sk1' @ Y1 @ Y2) => 724.30/94.82 (Y0 @ Y1 @ Y2))))))))) & 724.30/94.82 (((!!) @ (^[Y1 : a]: 724.30/94.82 (((!!) @ (^[Y2 : a]: 724.30/94.82 (((Y0 @ Y1 @ Y2) => 724.30/94.82 (Y0 @ Y2 @ Y1))))))))))) => 724.30/94.82 (Y0 @ '#sk2' @ '#sk3'))))))))), 724.30/94.82 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl44])). 724.30/94.82 thf(zip_derived_cl48, plain, 724.30/94.82 ((![X2 : a, X4 : a]: (~ ('#sk1' @ X2 @ X4) | ('#sk141' @ X2 @ X4))) 724.30/94.82 <= (~ 724.30/94.82 ( (((!!) @ (^[Y0 : a > a > $o]: 724.30/94.82 (((((((!!) @ (^[Y1 : a]: 724.30/94.82 (((!!) @ (^[Y2 : a]: 724.30/94.82 ((('#sk1' @ Y1 @ Y2) => 724.30/94.82 (Y0 @ Y1 @ Y2))))))))) & 724.30/94.82 (((!!) @ (^[Y1 : a]: 724.30/94.82 (((!!) @ (^[Y2 : a]: 724.30/94.82 (((Y0 @ Y1 @ Y2) => 724.30/94.82 (Y0 @ Y2 @ Y1))))))))))) => 724.30/94.82 (Y0 @ '#sk2' @ '#sk3'))))))))), 724.30/94.82 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl46])). 724.30/94.82 thf(zip_derived_cl366, plain, 724.30/94.82 (( ('#sk141' @ '#sk2' @ '#sk3')) 724.30/94.82 <= (~ 724.30/94.82 ( (((!!) @ (^[Y0 : a > a > $o]: 724.30/94.82 (((((((!!) @ (^[Y1 : a]: 724.30/94.82 (((!!) @ (^[Y2 : a]: 724.30/94.82 ((('#sk1' @ Y1 @ Y2) => 724.30/94.82 (Y0 @ Y1 @ Y2))))))))) & 724.30/94.82 (((!!) @ (^[Y1 : a]: 724.30/94.82 (((!!) @ (^[Y2 : a]: 724.30/94.82 (((Y0 @ Y1 @ Y2) => 724.30/94.82 (Y0 @ Y2 @ Y1))))))))))) => 724.30/94.82 (Y0 @ '#sk2' @ '#sk3'))))))) & 724.30/94.82 ( ('#sk1' @ '#sk2' @ '#sk3')))), 724.30/94.82 inference('sup-', [status(thm)], [zip_derived_cl14, zip_derived_cl48])). 724.30/94.82 thf(zip_derived_cl41, plain, 724.30/94.82 ((~ ('#sk141' @ '#sk2' @ '#sk3')) 724.30/94.82 <= (~ 724.30/94.82 ( (((!!) @ (^[Y0 : a > a > $o]: 724.30/94.82 (((((((!!) @ (^[Y1 : a]: 724.30/94.82 (((!!) @ (^[Y2 : a]: 724.30/94.82 ((('#sk1' @ Y1 @ Y2) => 724.30/94.82 (Y0 @ Y1 @ Y2))))))))) & 724.30/94.82 (((!!) @ (^[Y1 : a]: 724.30/94.82 (((!!) @ (^[Y2 : a]: 724.30/94.82 (((Y0 @ Y1 @ Y2) => 724.30/94.82 (Y0 @ Y2 @ Y1))))))))))) => 724.30/94.82 (Y0 @ '#sk2' @ '#sk3'))))))))), 724.30/94.82 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl39])). 724.30/94.82 thf('1', plain, 724.30/94.82 (~ ( ('#sk1' @ '#sk2' @ '#sk3')) | 724.30/94.82 ( (((!!) @ (^[Y0 : a > a > $o]: 724.30/94.82 (((((((!!) @ (^[Y1 : a]: 724.30/94.82 (((!!) @ (^[Y2 : a]: 724.30/94.82 ((('#sk1' @ Y1 @ Y2) => (Y0 @ 724.30/94.82 Y1 @ Y2))))))))) & 724.30/94.82 (((!!) @ (^[Y1 : a]: 724.30/94.82 (((!!) @ (^[Y2 : a]: 724.30/94.82 (((Y0 @ Y1 @ Y2) => (Y0 @ 724.30/94.82 Y2 @ Y1))))))))))) => 724.30/94.82 (Y0 @ '#sk2' @ '#sk3')))))))), 724.30/94.82 inference('sup-', [status(thm)], [zip_derived_cl366, zip_derived_cl41])). 724.30/94.82 thf(zip_derived_cl35, plain, 724.30/94.82 ((~ ((('#sk1' @ '#sk3' @ '#sk2') | ('#sk1' @ '#sk2' @ '#sk3')))) 724.30/94.82 <= (~ ( ((('#sk1' @ '#sk3' @ '#sk2') | ('#sk1' @ '#sk2' @ '#sk3')))))), 724.30/94.82 inference('split', [status(esa)], [zip_derived_cl6])). 724.30/94.82 thf(zip_derived_cl38, plain, 724.30/94.82 ((~ ('#sk1' @ '#sk2' @ '#sk3')) 724.30/94.82 <= (~ ( ((('#sk1' @ '#sk3' @ '#sk2') | ('#sk1' @ '#sk2' @ '#sk3')))))), 724.30/94.82 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl35])). 724.30/94.82 thf(zip_derived_cl14, plain, 724.30/94.82 (( ('#sk1' @ '#sk2' @ '#sk3')) <= (( ('#sk1' @ '#sk2' @ '#sk3')))), 724.30/94.82 inference('split', [status(esa)], [zip_derived_cl9])). 724.30/94.82 thf('2', plain, 724.30/94.82 (~ ( ('#sk1' @ '#sk2' @ '#sk3')) | 724.30/94.82 ( ((('#sk1' @ '#sk3' @ '#sk2') | ('#sk1' @ '#sk2' @ '#sk3'))))), 724.30/94.82 inference('sup+', [status(thm)], [zip_derived_cl38, zip_derived_cl14])). 724.30/94.82 thf('3', plain, 724.30/94.82 (~ ( ((('#sk1' @ '#sk3' @ '#sk2') | ('#sk1' @ '#sk2' @ '#sk3')))) | 724.30/94.82 ~ 724.30/94.82 ( (((!!) @ (^[Y0 : a > a > $o]: 724.30/94.82 (((((((!!) @ (^[Y1 : a]: 724.30/94.82 (((!!) @ (^[Y2 : a]: 724.30/94.82 ((('#sk1' @ Y1 @ Y2) => (Y0 @ 724.30/94.82 Y1 @ Y2))))))))) & 724.30/94.82 (((!!) @ (^[Y1 : a]: 724.30/94.82 (((!!) @ (^[Y2 : a]: 724.30/94.82 (((Y0 @ Y1 @ Y2) => (Y0 @ 724.30/94.82 Y2 @ Y1))))))))))) => 724.30/94.82 (Y0 @ '#sk2' @ '#sk3')))))))), 724.30/94.82 inference('split', [status(esa)], [zip_derived_cl6])). 724.30/94.82 thf(zip_derived_cl15, plain, 724.30/94.82 (( ('#sk1' @ '#sk3' @ '#sk2')) <= (( ('#sk1' @ '#sk3' @ '#sk2')))), 724.30/94.82 inference('split', [status(esa)], [zip_derived_cl9])). 724.30/94.82 thf(zip_derived_cl48, plain, 724.30/94.82 ((![X2 : a, X4 : a]: (~ ('#sk1' @ X2 @ X4) | ('#sk141' @ X2 @ X4))) 724.30/94.82 <= (~ 724.30/94.82 ( (((!!) @ (^[Y0 : a > a > $o]: 724.30/94.82 (((((((!!) @ (^[Y1 : a]: 724.30/94.82 (((!!) @ (^[Y2 : a]: 724.30/94.82 ((('#sk1' @ Y1 @ Y2) => 724.30/94.82 (Y0 @ Y1 @ Y2))))))))) & 724.30/94.82 (((!!) @ (^[Y1 : a]: 724.30/94.82 (((!!) @ (^[Y2 : a]: 724.30/94.82 (((Y0 @ Y1 @ Y2) => 724.30/94.82 (Y0 @ Y2 @ Y1))))))))))) => 724.30/94.82 (Y0 @ '#sk2' @ '#sk3'))))))))), 724.30/94.82 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl46])). 724.30/94.82 thf(zip_derived_cl365, plain, 724.30/94.82 (( ('#sk141' @ '#sk3' @ '#sk2')) 724.30/94.82 <= (~ 724.30/94.82 ( (((!!) @ (^[Y0 : a > a > $o]: 724.30/94.82 (((((((!!) @ (^[Y1 : a]: 724.30/94.82 (((!!) @ (^[Y2 : a]: 724.30/94.82 ((('#sk1' @ Y1 @ Y2) => 724.30/94.82 (Y0 @ Y1 @ Y2))))))))) & 724.30/94.82 (((!!) @ (^[Y1 : a]: 724.30/94.82 (((!!) @ (^[Y2 : a]: 724.30/94.82 (((Y0 @ Y1 @ Y2) => 724.30/94.82 (Y0 @ Y2 @ Y1))))))))))) => 724.30/94.82 (Y0 @ '#sk2' @ '#sk3'))))))) & 724.30/94.82 ( ('#sk1' @ '#sk3' @ '#sk2')))), 724.30/94.82 inference('sup-', [status(thm)], [zip_derived_cl15, zip_derived_cl48])). 724.30/94.82 thf(zip_derived_cl43, plain, 724.30/94.82 (( (((!!) @ (^[Y0 : a]: 724.30/94.82 (((!!) @ (^[Y1 : a]: 724.30/94.82 ((('#sk141' @ Y0 @ Y1) => ('#sk141' @ Y1 @ Y0)))))))))) 724.30/94.82 <= (~ 724.30/94.82 ( (((!!) @ (^[Y0 : a > a > $o]: 724.30/94.82 (((((((!!) @ (^[Y1 : a]: 724.30/94.82 (((!!) @ (^[Y2 : a]: 724.30/94.82 ((('#sk1' @ Y1 @ Y2) => 724.30/94.82 (Y0 @ Y1 @ Y2))))))))) & 724.30/94.82 (((!!) @ (^[Y1 : a]: 724.30/94.82 (((!!) @ (^[Y2 : a]: 724.30/94.82 (((Y0 @ Y1 @ Y2) => 724.30/94.82 (Y0 @ Y2 @ Y1))))))))))) => 724.30/94.82 (Y0 @ '#sk2' @ '#sk3'))))))))), 724.30/94.82 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl40])). 724.30/94.82 thf(zip_derived_cl45, plain, 724.30/94.82 ((![X2 : a]: 724.30/94.82 (((!!) @ (^[Y0 : a]: 724.30/94.82 ((('#sk141' @ X2 @ Y0) => ('#sk141' @ Y0 @ X2))))))) 724.30/94.82 <= (~ 724.30/94.82 ( (((!!) @ (^[Y0 : a > a > $o]: 724.30/94.82 (((((((!!) @ (^[Y1 : a]: 724.30/94.82 (((!!) @ (^[Y2 : a]: 724.30/94.82 ((('#sk1' @ Y1 @ Y2) => 724.30/94.82 (Y0 @ Y1 @ Y2))))))))) & 724.30/94.82 (((!!) @ (^[Y1 : a]: 724.30/94.82 (((!!) @ (^[Y2 : a]: 724.30/94.82 (((Y0 @ Y1 @ Y2) => 724.30/94.82 (Y0 @ Y2 @ Y1))))))))))) => 724.30/94.82 (Y0 @ '#sk2' @ '#sk3'))))))))), 724.30/94.82 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl43])). 724.30/94.82 thf(zip_derived_cl47, plain, 724.30/94.82 ((![X2 : a, X4 : a]: ((('#sk141' @ X2 @ X4) => ('#sk141' @ X4 @ X2)))) 724.30/94.82 <= (~ 724.30/94.82 ( (((!!) @ (^[Y0 : a > a > $o]: 724.30/94.82 (((((((!!) @ (^[Y1 : a]: 724.30/94.82 (((!!) @ (^[Y2 : a]: 724.30/94.82 ((('#sk1' @ Y1 @ Y2) => 724.30/94.82 (Y0 @ Y1 @ Y2))))))))) & 724.30/94.82 (((!!) @ (^[Y1 : a]: 724.30/94.82 (((!!) @ (^[Y2 : a]: 724.30/94.82 (((Y0 @ Y1 @ Y2) => 724.30/94.82 (Y0 @ Y2 @ Y1))))))))))) => 724.30/94.82 (Y0 @ '#sk2' @ '#sk3'))))))))), 724.30/94.82 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl45])). 724.30/94.82 thf(zip_derived_cl49, plain, 724.30/94.82 ((![X2 : a, X4 : a]: (~ ('#sk141' @ X2 @ X4) | ('#sk141' @ X4 @ X2))) 724.30/94.82 <= (~ 724.30/94.82 ( (((!!) @ (^[Y0 : a > a > $o]: 724.30/94.82 (((((((!!) @ (^[Y1 : a]: 724.30/94.82 (((!!) @ (^[Y2 : a]: 724.30/94.82 ((('#sk1' @ Y1 @ Y2) => 724.30/94.82 (Y0 @ Y1 @ Y2))))))))) & 724.30/94.82 (((!!) @ (^[Y1 : a]: 724.30/94.82 (((!!) @ (^[Y2 : a]: 724.30/94.82 (((Y0 @ Y1 @ Y2) => 724.30/94.82 (Y0 @ Y2 @ Y1))))))))))) => 724.30/94.82 (Y0 @ '#sk2' @ '#sk3'))))))))), 724.30/94.82 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl47])). 724.30/94.82 thf(zip_derived_cl418, plain, 724.30/94.82 (( ('#sk141' @ '#sk2' @ '#sk3')) 724.30/94.82 <= (~ 724.30/94.82 ( (((!!) @ (^[Y0 : a > a > $o]: 724.30/94.82 (((((((!!) @ (^[Y1 : a]: 724.30/94.82 (((!!) @ (^[Y2 : a]: 724.30/94.82 ((('#sk1' @ Y1 @ Y2) => 724.30/94.82 (Y0 @ Y1 @ Y2))))))))) & 724.30/94.82 (((!!) @ (^[Y1 : a]: 724.30/94.82 (((!!) @ (^[Y2 : a]: 724.30/94.82 (((Y0 @ Y1 @ Y2) => 724.30/94.82 (Y0 @ Y2 @ Y1))))))))))) => 724.30/94.82 (Y0 @ '#sk2' @ '#sk3'))))))) & 724.30/94.82 ( ('#sk1' @ '#sk3' @ '#sk2')))), 724.30/94.82 inference('sup-', [status(thm)], [zip_derived_cl365, zip_derived_cl49])). 724.30/94.82 thf(zip_derived_cl41, plain, 724.30/94.82 ((~ ('#sk141' @ '#sk2' @ '#sk3')) 724.30/94.82 <= (~ 724.30/94.82 ( (((!!) @ (^[Y0 : a > a > $o]: 724.30/94.82 (((((((!!) @ (^[Y1 : a]: 724.30/94.82 (((!!) @ (^[Y2 : a]: 724.30/94.82 ((('#sk1' @ Y1 @ Y2) => 724.30/94.82 (Y0 @ Y1 @ Y2))))))))) & 724.30/94.82 (((!!) @ (^[Y1 : a]: 724.30/94.82 (((!!) @ (^[Y2 : a]: 724.30/94.82 (((Y0 @ Y1 @ Y2) => 724.30/94.82 (Y0 @ Y2 @ Y1))))))))))) => 724.30/94.82 (Y0 @ '#sk2' @ '#sk3'))))))))), 724.30/94.82 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl39])). 724.30/94.82 thf('4', plain, 724.30/94.82 (~ ( ('#sk1' @ '#sk3' @ '#sk2')) | 724.30/94.82 ( (((!!) @ (^[Y0 : a > a > $o]: 724.30/94.82 (((((((!!) @ (^[Y1 : a]: 724.30/94.82 (((!!) @ (^[Y2 : a]: 724.30/94.82 ((('#sk1' @ Y1 @ Y2) => (Y0 @ 724.30/94.82 Y1 @ Y2))))))))) & 724.30/94.82 (((!!) @ (^[Y1 : a]: 724.30/94.82 (((!!) @ (^[Y2 : a]: 724.30/94.82 (((Y0 @ Y1 @ Y2) => (Y0 @ 724.30/94.82 Y2 @ Y1))))))))))) => 724.30/94.82 (Y0 @ '#sk2' @ '#sk3')))))))), 724.30/94.82 inference('sup-', [status(thm)], [zip_derived_cl418, zip_derived_cl41])). 724.30/94.82 thf('5', plain, 724.30/94.82 (( (((!!) @ (^[Y0 : a > a > $o]: 724.30/94.82 (((((((!!) @ (^[Y1 : a]: 724.30/94.82 (((!!) @ (^[Y2 : a]: 724.30/94.82 ((('#sk1' @ Y1 @ Y2) => (Y0 @ 724.30/94.82 Y1 @ Y2))))))))) & 724.30/94.82 (((!!) @ (^[Y1 : a]: 724.30/94.82 (((!!) @ (^[Y2 : a]: 724.30/94.82 (((Y0 @ Y1 @ Y2) => (Y0 @ 724.30/94.82 Y2 @ Y1))))))))))) => 724.30/94.82 (Y0 @ '#sk2' @ '#sk3'))))))) | 724.30/94.82 ( ((('#sk1' @ '#sk3' @ '#sk2') | ('#sk1' @ '#sk2' @ '#sk3'))))), 724.30/94.82 inference('split', [status(esa)], [zip_derived_cl5])). 724.30/94.82 thf('6', plain, 724.30/94.82 (( (((!!) @ (^[Y0 : a > a > $o]: 724.30/94.82 (((((((!!) @ (^[Y1 : a]: 724.30/94.82 (((!!) @ (^[Y2 : a]: 724.30/94.82 ((('#sk1' @ Y1 @ Y2) => (Y0 @ 724.30/94.82 Y1 @ Y2))))))))) & 724.30/94.82 (((!!) @ (^[Y1 : a]: 724.30/94.82 (((!!) @ (^[Y2 : a]: 724.30/94.82 (((Y0 @ Y1 @ Y2) => (Y0 @ 724.30/94.82 Y2 @ Y1))))))))))) => 724.30/94.82 (Y0 @ '#sk2' @ '#sk3')))))))), 724.30/94.82 inference('sat_resolution*', [status(thm)], 724.30/94.82 ['0', '1', '2', '3', '4', '5'])). 724.30/94.82 thf(zip_derived_cl1082, plain, 724.30/94.82 (![X0 : a > a > $o, X1 : a > a > $o]: 724.30/94.82 (~ (X0 @ ('#sk351' @ X0 @ X1) @ ('#sk290' @ X0 @ X1)) 724.30/94.82 | (X1 @ '#sk2' @ '#sk3') 724.30/94.82 | (X0 @ '#sk2' @ '#sk3') 724.30/94.82 | ('#sk1' @ ('#sk178' @ X0 @ X1) @ ('#sk201' @ X0 @ X1)))), 724.30/94.82 inference('simpl_trail', [status(thm)], [zip_derived_cl77, '6'])). 724.30/94.82 thf(zip_derived_cl76, plain, 724.30/94.82 ((![X0 : a > a > $o, X1 : a > a > $o]: 724.30/94.82 (~ (X1 @ ('#sk351' @ X0 @ X1) @ ('#sk290' @ X0 @ X1)) 724.30/94.82 | (X1 @ '#sk2' @ '#sk3') 724.30/94.82 | (X0 @ '#sk2' @ '#sk3') 724.30/94.82 | ('#sk1' @ ('#sk178' @ X0 @ X1) @ ('#sk201' @ X0 @ X1)))) 724.30/94.82 <= (( (((!!) @ (^[Y0 : a > a > $o]: 724.30/94.82 (((((((!!) @ (^[Y1 : a]: 724.30/94.82 (((!!) @ (^[Y2 : a]: 724.30/94.82 ((('#sk1' @ Y1 @ Y2) => 724.30/94.82 (Y0 @ Y1 @ Y2))))))))) & 724.30/94.82 (((!!) @ (^[Y1 : a]: 724.30/94.82 (((!!) @ (^[Y2 : a]: 724.30/94.82 (((Y0 @ Y1 @ Y2) => 724.30/94.82 (Y0 @ Y2 @ Y1))))))))))) => 724.30/94.82 (Y0 @ '#sk2' @ '#sk3'))))))))), 724.30/94.82 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl70])). 724.30/94.82 thf('7', plain, 724.30/94.82 (( (((!!) @ (^[Y0 : a > a > $o]: 724.30/94.82 (((((((!!) @ (^[Y1 : a]: 724.30/94.82 (((!!) @ (^[Y2 : a]: 724.30/94.82 ((('#sk1' @ Y1 @ Y2) => (Y0 @ 724.30/94.82 Y1 @ Y2))))))))) & 724.30/94.82 (((!!) @ (^[Y1 : a]: 724.30/94.82 (((!!) @ (^[Y2 : a]: 724.30/94.82 (((Y0 @ Y1 @ Y2) => (Y0 @ 724.30/94.82 Y2 @ Y1))))))))))) => 724.30/94.82 (Y0 @ '#sk2' @ '#sk3')))))))), 724.30/94.82 inference('sat_resolution*', [status(thm)], 724.30/94.82 ['0', '1', '2', '3', '4', '5'])). 724.30/94.82 thf(zip_derived_cl1002, plain, 724.30/94.82 (![X0 : a > a > $o, X1 : a > a > $o]: 724.30/94.82 (~ (X1 @ ('#sk351' @ X0 @ X1) @ ('#sk290' @ X0 @ X1)) 724.30/94.82 | (X1 @ '#sk2' @ '#sk3') 724.30/94.82 | (X0 @ '#sk2' @ '#sk3') 724.30/94.82 | ('#sk1' @ ('#sk178' @ X0 @ X1) @ ('#sk201' @ X0 @ X1)))), 724.30/94.82 inference('simpl_trail', [status(thm)], [zip_derived_cl76, '7'])). 724.30/94.82 thf(zip_derived_cl59, plain, 724.30/94.82 ((![X0 : a > a > $o, X1 : a > a > $o]: 724.30/94.82 (~ (((X1 @ ('#sk178' @ X0 @ X1) @ ('#sk201' @ X0 @ X1)) | (X0 @ 724.30/94.82 ('#sk178' @ X0 @ X1) @ ('#sk201' @ X0 @ X1)))) 724.30/94.82 | (((X1 @ '#sk2' @ '#sk3') | (X0 @ '#sk2' @ '#sk3'))) 724.30/94.82 | ~ (((!!) @ (^[Y0 : a]: 724.30/94.82 (((!!) @ (^[Y1 : a]: 724.30/94.82 (((((X1 @ Y0 @ Y1) | (X0 @ Y0 @ Y1))) => 724.30/94.82 (((X1 @ Y1 @ Y0) | (X0 @ Y1 @ Y0))))))))))))) 724.30/94.82 <= (( (((!!) @ (^[Y0 : a > a > $o]: 724.30/94.82 (((((((!!) @ (^[Y1 : a]: 724.30/94.82 (((!!) @ (^[Y2 : a]: 724.30/94.82 ((('#sk1' @ Y1 @ Y2) => 724.30/94.82 (Y0 @ Y1 @ Y2))))))))) & 724.30/94.82 (((!!) @ (^[Y1 : a]: 724.30/94.82 (((!!) @ (^[Y2 : a]: 724.30/94.82 (((Y0 @ Y1 @ Y2) => 724.30/94.82 (Y0 @ Y2 @ Y1))))))))))) => 724.30/94.82 (Y0 @ '#sk2' @ '#sk3'))))))))), 724.30/94.82 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl57])). 724.30/94.82 thf(zip_derived_cl61, plain, 724.30/94.82 ((![X0 : a > a > $o, X1 : a > a > $o]: 724.30/94.82 (~ (X1 @ ('#sk178' @ X0 @ X1) @ ('#sk201' @ X0 @ X1)) 724.30/94.82 | ~ (((!!) @ (^[Y0 : a]: 724.30/94.82 (((!!) @ (^[Y1 : a]: 724.30/94.82 (((((X1 @ Y0 @ Y1) | (X0 @ Y0 @ Y1))) => 724.30/94.82 (((X1 @ Y1 @ Y0) | (X0 @ Y1 @ Y0))))))))))) 724.30/94.82 | (((X1 @ '#sk2' @ '#sk3') | (X0 @ '#sk2' @ '#sk3'))))) 724.30/94.82 <= (( (((!!) @ (^[Y0 : a > a > $o]: 724.30/94.82 (((((((!!) @ (^[Y1 : a]: 724.30/94.82 (((!!) @ (^[Y2 : a]: 724.30/94.82 ((('#sk1' @ Y1 @ Y2) => 724.30/94.82 (Y0 @ Y1 @ Y2))))))))) & 724.30/94.82 (((!!) @ (^[Y1 : a]: 724.30/94.82 (((!!) @ (^[Y2 : a]: 724.30/94.82 (((Y0 @ Y1 @ Y2) => 724.30/94.82 (Y0 @ Y2 @ Y1))))))))))) => 724.30/94.82 (Y0 @ '#sk2' @ '#sk3'))))))))), 724.30/94.82 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl59])). 724.30/94.82 thf(zip_derived_cl64, plain, 724.30/94.82 ((![X0 : a > a > $o, X1 : a > a > $o]: 724.30/94.82 (~ (((!!) @ (^[Y0 : a]: 724.30/94.82 (((((X1 @ ('#sk290' @ X0 @ X1) @ Y0) | (X0 @ 724.30/94.82 ('#sk290' @ X0 @ X1) @ Y0))) => 724.30/94.82 (((X1 @ Y0 @ ('#sk290' @ X0 @ X1)) | (X0 @ Y0 @ 724.30/94.82 ('#sk290' @ X0 @ X1))))))))) 724.30/94.82 | (((X1 @ '#sk2' @ '#sk3') | (X0 @ '#sk2' @ '#sk3'))) 724.30/94.82 | ~ (X1 @ ('#sk178' @ X0 @ X1) @ ('#sk201' @ X0 @ X1)))) 724.30/94.82 <= (( (((!!) @ (^[Y0 : a > a > $o]: 724.30/94.82 (((((((!!) @ (^[Y1 : a]: 724.30/94.82 (((!!) @ (^[Y2 : a]: 724.30/94.82 ((('#sk1' @ Y1 @ Y2) => 724.30/94.82 (Y0 @ Y1 @ Y2))))))))) & 724.30/94.82 (((!!) @ (^[Y1 : a]: 724.30/94.82 (((!!) @ (^[Y2 : a]: 724.30/94.82 (((Y0 @ Y1 @ Y2) => 724.30/94.82 (Y0 @ Y2 @ Y1))))))))))) => 724.30/94.82 (Y0 @ '#sk2' @ '#sk3'))))))))), 724.30/94.82 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl61])). 724.30/94.82 thf(zip_derived_cl67, plain, 724.30/94.82 ((![X0 : a > a > $o, X1 : a > a > $o]: 724.30/94.82 (~ (((((X1 @ ('#sk290' @ X0 @ X1) @ ('#sk351' @ X0 @ X1)) | (X0 @ 724.30/94.82 ('#sk290' @ X0 @ X1) @ ('#sk351' @ X0 @ X1)))) => 724.30/94.82 (((X1 @ ('#sk351' @ X0 @ X1) @ ('#sk290' @ X0 @ X1)) | (X0 @ 724.30/94.82 ('#sk351' @ X0 @ X1) @ ('#sk290' @ X0 @ X1)))))) 724.30/94.82 | ~ (X1 @ ('#sk178' @ X0 @ X1) @ ('#sk201' @ X0 @ X1)) 724.30/94.82 | (((X1 @ '#sk2' @ '#sk3') | (X0 @ '#sk2' @ '#sk3'))))) 724.30/94.82 <= (( (((!!) @ (^[Y0 : a > a > $o]: 724.30/94.82 (((((((!!) @ (^[Y1 : a]: 724.30/94.82 (((!!) @ (^[Y2 : a]: 724.30/94.82 ((('#sk1' @ Y1 @ Y2) => 724.30/94.82 (Y0 @ Y1 @ Y2))))))))) & 724.30/94.82 (((!!) @ (^[Y1 : a]: 724.30/94.82 (((!!) @ (^[Y2 : a]: 724.30/94.82 (((Y0 @ Y1 @ Y2) => 724.30/94.82 (Y0 @ Y2 @ Y1))))))))))) => 724.30/94.82 (Y0 @ '#sk2' @ '#sk3'))))))))), 724.30/94.82 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl64])). 724.30/94.82 thf(zip_derived_cl72, plain, 724.30/94.82 ((![X0 : a > a > $o, X1 : a > a > $o]: 724.30/94.82 (~ (((X1 @ ('#sk351' @ X0 @ X1) @ ('#sk290' @ X0 @ X1)) | (X0 @ 724.30/94.82 ('#sk351' @ X0 @ X1) @ ('#sk290' @ X0 @ X1)))) 724.30/94.82 | (((X1 @ '#sk2' @ '#sk3') | (X0 @ '#sk2' @ '#sk3'))) 724.30/94.82 | ~ (X1 @ ('#sk178' @ X0 @ X1) @ ('#sk201' @ X0 @ X1)))) 724.30/94.82 <= (( (((!!) @ (^[Y0 : a > a > $o]: 724.30/94.82 (((((((!!) @ (^[Y1 : a]: 724.30/94.82 (((!!) @ (^[Y2 : a]: 724.30/94.82 ((('#sk1' @ Y1 @ Y2) => 724.30/94.82 (Y0 @ Y1 @ Y2))))))))) & 724.30/94.82 (((!!) @ (^[Y1 : a]: 724.30/94.82 (((!!) @ (^[Y2 : a]: 724.30/94.82 (((Y0 @ Y1 @ Y2) => 724.30/94.82 (Y0 @ Y2 @ Y1))))))))))) => 724.30/94.82 (Y0 @ '#sk2' @ '#sk3'))))))))), 724.30/94.82 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl67])). 724.30/94.82 thf(zip_derived_cl79, plain, 724.30/94.82 ((![X0 : a > a > $o, X1 : a > a > $o]: 724.30/94.82 (~ (X1 @ ('#sk351' @ X0 @ X1) @ ('#sk290' @ X0 @ X1)) 724.30/94.82 | ~ (X1 @ ('#sk178' @ X0 @ X1) @ ('#sk201' @ X0 @ X1)) 724.30/94.82 | (((X1 @ '#sk2' @ '#sk3') | (X0 @ '#sk2' @ '#sk3'))))) 724.30/94.82 <= (( (((!!) @ (^[Y0 : a > a > $o]: 724.30/94.82 (((((((!!) @ (^[Y1 : a]: 724.30/94.82 (((!!) @ (^[Y2 : a]: 724.30/94.82 ((('#sk1' @ Y1 @ Y2) => 724.30/94.82 (Y0 @ Y1 @ Y2))))))))) & 724.30/94.82 (((!!) @ (^[Y1 : a]: 724.30/94.82 (((!!) @ (^[Y2 : a]: 724.30/94.82 (((Y0 @ Y1 @ Y2) => 724.30/94.82 (Y0 @ Y2 @ Y1))))))))))) => 724.30/94.82 (Y0 @ '#sk2' @ '#sk3'))))))))), 724.30/94.82 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl72])). 724.30/94.82 thf(zip_derived_cl85, plain, 724.30/94.82 ((![X0 : a > a > $o, X1 : a > a > $o]: 724.30/94.82 ( (X1 @ '#sk2' @ '#sk3') 724.30/94.82 | (X0 @ '#sk2' @ '#sk3') 724.30/94.82 | ~ (X1 @ ('#sk178' @ X0 @ X1) @ ('#sk201' @ X0 @ X1)) 724.30/94.82 | ~ (X1 @ ('#sk351' @ X0 @ X1) @ ('#sk290' @ X0 @ X1)))) 724.30/94.82 <= (( (((!!) @ (^[Y0 : a > a > $o]: 724.30/94.82 (((((((!!) @ (^[Y1 : a]: 724.30/94.82 (((!!) @ (^[Y2 : a]: 724.30/94.82 ((('#sk1' @ Y1 @ Y2) => 724.30/94.82 (Y0 @ Y1 @ Y2))))))))) & 724.30/94.82 (((!!) @ (^[Y1 : a]: 724.30/94.82 (((!!) @ (^[Y2 : a]: 724.30/94.82 (((Y0 @ Y1 @ Y2) => 724.30/94.82 (Y0 @ Y2 @ Y1))))))))))) => 724.30/94.82 (Y0 @ '#sk2' @ '#sk3'))))))))), 724.30/94.82 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl79])). 724.30/94.82 thf('8', plain, 724.30/94.82 (( (((!!) @ (^[Y0 : a > a > $o]: 724.30/94.82 (((((((!!) @ (^[Y1 : a]: 724.30/94.82 (((!!) @ (^[Y2 : a]: 724.30/94.82 ((('#sk1' @ Y1 @ Y2) => (Y0 @ 724.30/94.82 Y1 @ Y2))))))))) & 724.30/94.82 (((!!) @ (^[Y1 : a]: 724.30/94.82 (((!!) @ (^[Y2 : a]: 724.30/94.82 (((Y0 @ Y1 @ Y2) => (Y0 @ 724.30/94.82 Y2 @ Y1))))))))))) => 724.30/94.82 (Y0 @ '#sk2' @ '#sk3')))))))), 724.30/94.82 inference('sat_resolution*', [status(thm)], 724.30/94.82 ['0', '1', '2', '3', '4', '5'])). 724.30/94.82 thf(zip_derived_cl2049, plain, 724.30/94.82 (![X0 : a > a > $o, X1 : a > a > $o]: 724.30/94.82 ( (X1 @ '#sk2' @ '#sk3') 724.30/94.82 | (X0 @ '#sk2' @ '#sk3') 724.30/94.82 | ~ (X1 @ ('#sk178' @ X0 @ X1) @ ('#sk201' @ X0 @ X1)) 724.30/94.82 | ~ (X1 @ ('#sk351' @ X0 @ X1) @ ('#sk290' @ X0 @ X1)))), 724.30/94.82 inference('simpl_trail', [status(thm)], [zip_derived_cl85, '8'])). 724.30/94.82 thf(zip_derived_cl2190, plain, 724.30/94.82 (![X0 : a > a > $o]: 724.30/94.82 ( (X0 @ '#sk2' @ '#sk3') 724.30/94.82 | ('#sk1' @ '#sk2' @ '#sk3') 724.30/94.82 | ~ ('#sk1' @ ('#sk351' @ X0 @ '#sk1') @ ('#sk290' @ X0 @ '#sk1')) 724.30/94.82 | ~ ('#sk1' @ ('#sk351' @ X0 @ '#sk1') @ ('#sk290' @ X0 @ '#sk1')) 724.30/94.82 | (X0 @ '#sk2' @ '#sk3') 724.30/94.82 | ('#sk1' @ '#sk2' @ '#sk3'))), 724.30/94.82 inference('sup-', [status(thm)], [zip_derived_cl1002, zip_derived_cl2049])). 724.30/94.82 thf(zip_derived_cl4, plain, 724.30/94.82 (((((!!) @ (^[Y0 : a > a > $o]: 724.30/94.82 (((((((!!) @ (^[Y1 : a]: 724.30/94.82 (((!!) @ (^[Y2 : a]: 724.30/94.82 ((('#sk1' @ Y1 @ Y2) => (Y0 @ 724.30/94.82 Y1 @ Y2))))))))) & 724.30/94.82 (((!!) @ (^[Y1 : a]: 724.30/94.82 (((!!) @ (^[Y2 : a]: 724.30/94.82 (((Y0 @ Y1 @ Y2) => (Y0 @ Y2 @ 724.30/94.82 Y1))))))))))) => 724.30/94.82 (Y0 @ '#sk2' @ '#sk3')))))) 724.30/94.82 != ((('#sk1' @ '#sk3' @ '#sk2') | ('#sk1' @ '#sk2' @ '#sk3'))))), 724.30/94.82 inference('simplify nested equalities', [status(thm)], [zip_derived_cl3])). 724.30/94.82 thf(zip_derived_cl37, plain, 724.30/94.82 ((~ ('#sk1' @ '#sk3' @ '#sk2')) 724.30/94.82 <= (~ ( ((('#sk1' @ '#sk3' @ '#sk2') | ('#sk1' @ '#sk2' @ '#sk3')))))), 724.30/94.82 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl35])). 724.30/94.82 thf('9', plain, 724.30/94.82 (~ ( ((('#sk1' @ '#sk3' @ '#sk2') | ('#sk1' @ '#sk2' @ '#sk3'))))), 724.30/94.82 inference('sat_resolution*', [status(thm)], ['0', '1', '2', '3', '4'])). 724.30/94.82 thf(zip_derived_cl989, plain, (~ ('#sk1' @ '#sk3' @ '#sk2')), 724.30/94.82 inference('simpl_trail', [status(thm)], [zip_derived_cl37, '9'])). 724.30/94.82 thf(zip_derived_cl1059, plain, 724.30/94.82 (((((!!) @ (^[Y0 : a > a > $o]: 724.30/94.82 (((((((!!) @ (^[Y1 : a]: 724.30/94.82 (((!!) @ (^[Y2 : a]: 724.30/94.82 ((('#sk1' @ Y1 @ Y2) => (Y0 @ 724.30/94.82 Y1 @ Y2))))))))) & 724.30/94.82 (((!!) @ (^[Y1 : a]: 724.30/94.82 (((!!) @ (^[Y2 : a]: 724.30/94.82 (((Y0 @ Y1 @ Y2) => (Y0 @ Y2 @ 724.30/94.82 Y1))))))))))) => 724.30/94.82 (Y0 @ '#sk2' @ '#sk3')))))) 724.30/94.82 != ((($false) | ('#sk1' @ '#sk2' @ '#sk3'))))), 724.30/94.82 inference('demod', [status(thm)], [zip_derived_cl4, zip_derived_cl989])). 724.30/94.82 thf(zip_derived_cl1060, plain, 724.30/94.82 (((((!!) @ (^[Y0 : a > a > $o]: 724.30/94.82 (((((((!!) @ (^[Y1 : a]: 724.30/94.82 (((!!) @ (^[Y2 : a]: 724.30/94.82 ((('#sk1' @ Y1 @ Y2) => (Y0 @ 724.30/94.82 Y1 @ Y2))))))))) & 724.30/94.82 (((!!) @ (^[Y1 : a]: 724.30/94.82 (((!!) @ (^[Y2 : a]: 724.30/94.82 (((Y0 @ Y1 @ Y2) => (Y0 @ Y2 @ 724.30/94.82 Y1))))))))))) => 724.30/94.82 (Y0 @ '#sk2' @ '#sk3')))))) 724.30/94.82 != ('#sk1' @ '#sk2' @ '#sk3'))), 724.30/94.82 inference('simplify boolean subterms', [status(thm)], 724.30/94.82 [zip_derived_cl1059])). 724.30/94.82 thf(zip_derived_cl1062, plain, 724.30/94.82 ((~ (((!!) @ (^[Y0 : a > a > $o]: 724.30/94.82 (((((((!!) @ (^[Y1 : a]: 724.30/94.82 (((!!) @ (^[Y2 : a]: 724.30/94.82 ((('#sk1' @ Y1 @ Y2) => 724.30/94.82 (Y0 @ Y1 @ Y2))))))))) & 724.30/94.82 (((!!) @ (^[Y1 : a]: 724.30/94.82 (((!!) @ (^[Y2 : a]: 724.30/94.82 (((Y0 @ Y1 @ Y2) => (Y0 @ 724.30/94.82 Y2 @ Y1))))))))))) => 724.30/94.82 (Y0 @ '#sk2' @ '#sk3')))))) 724.30/94.82 | ~ ('#sk1' @ '#sk2' @ '#sk3'))), 724.30/94.82 inference('eq_elim', [status(thm)], [zip_derived_cl1060])). 724.30/94.82 thf(zip_derived_cl1066, plain, 724.30/94.82 ((~ ('#sk1' @ '#sk2' @ '#sk3')) <= (~ ( ('#sk1' @ '#sk2' @ '#sk3')))), 724.30/94.82 inference('split', [status(esa)], [zip_derived_cl1062])). 724.30/94.82 thf('10', plain, (~ ( ('#sk1' @ '#sk2' @ '#sk3'))), 724.30/94.82 inference('sat_resolution*', [status(thm)], ['1', '2', '3'])). 724.30/94.82 thf(zip_derived_cl1068, plain, (~ ('#sk1' @ '#sk2' @ '#sk3')), 724.30/94.82 inference('simpl_trail', [status(thm)], [zip_derived_cl1066, '10'])). 724.30/94.82 thf(zip_derived_cl1068, plain, (~ ('#sk1' @ '#sk2' @ '#sk3')), 724.30/94.82 inference('simpl_trail', [status(thm)], [zip_derived_cl1066, '10'])). 724.30/94.82 thf(zip_derived_cl2421, plain, 724.30/94.82 (![X0 : a > a > $o]: 724.30/94.82 ( (X0 @ '#sk2' @ '#sk3') 724.30/94.82 | ~ ('#sk1' @ ('#sk351' @ X0 @ '#sk1') @ ('#sk290' @ X0 @ '#sk1')) 724.30/94.82 | ~ ('#sk1' @ ('#sk351' @ X0 @ '#sk1') @ ('#sk290' @ X0 @ '#sk1')) 724.30/94.82 | (X0 @ '#sk2' @ '#sk3'))), 724.30/94.82 inference('demod', [status(thm)], 724.30/94.82 [zip_derived_cl2190, zip_derived_cl1068, zip_derived_cl1068])). 724.30/94.82 thf(zip_derived_cl2422, plain, 724.30/94.82 (![X0 : a > a > $o]: 724.30/94.82 (~ ('#sk1' @ ('#sk351' @ X0 @ '#sk1') @ ('#sk290' @ X0 @ '#sk1')) 724.30/94.82 | (X0 @ '#sk2' @ '#sk3'))), 724.30/94.82 inference('simplify', [status(thm)], [zip_derived_cl2421])). 724.30/94.82 thf(zip_derived_cl1060, plain, 724.30/94.82 (((((!!) @ (^[Y0 : a > a > $o]: 724.30/94.82 (((((((!!) @ (^[Y1 : a]: 724.30/94.82 (((!!) @ (^[Y2 : a]: 724.30/94.82 ((('#sk1' @ Y1 @ Y2) => (Y0 @ 724.30/94.82 Y1 @ Y2))))))))) & 724.30/94.82 (((!!) @ (^[Y1 : a]: 724.30/94.82 (((!!) @ (^[Y2 : a]: 724.30/94.82 (((Y0 @ Y1 @ Y2) => (Y0 @ Y2 @ 724.30/94.82 Y1))))))))))) => 724.30/94.82 (Y0 @ '#sk2' @ '#sk3')))))) 724.30/94.82 != ('#sk1' @ '#sk2' @ '#sk3'))), 724.30/94.82 inference('simplify boolean subterms', [status(thm)], 724.30/94.82 [zip_derived_cl1059])). 724.30/94.82 thf(zip_derived_cl1068, plain, (~ ('#sk1' @ '#sk2' @ '#sk3')), 724.30/94.82 inference('simpl_trail', [status(thm)], [zip_derived_cl1066, '10'])). 724.30/94.82 thf(zip_derived_cl1080, plain, 724.30/94.82 ( (((!!) @ (^[Y0 : a > a > $o]: 724.30/94.82 (((((((!!) @ (^[Y1 : a]: 724.30/94.82 (((!!) @ (^[Y2 : a]: 724.30/94.82 ((('#sk1' @ Y1 @ Y2) => (Y0 @ 724.30/94.82 Y1 @ Y2))))))))) & 724.30/94.82 (((!!) @ (^[Y1 : a]: 724.30/94.82 (((!!) @ (^[Y2 : a]: 724.30/94.82 (((Y0 @ Y1 @ Y2) => (Y0 @ Y2 @ 724.30/94.82 Y1))))))))))) => 724.30/94.82 (Y0 @ '#sk2' @ '#sk3'))))))), 724.30/94.82 inference('demod', [status(thm)], 724.30/94.82 [zip_derived_cl1060, zip_derived_cl1068])). 724.30/94.82 thf(zip_derived_cl1175, plain, 724.30/94.82 (![X2 : a > a > $o]: 724.30/94.82 (((((((!!) @ (^[Y0 : a]: 724.30/94.82 (((!!) @ (^[Y1 : a]: 724.30/94.82 ((('#sk1' @ Y0 @ Y1) => (X2 @ Y0 @ Y1))))))))) & 724.30/94.82 (((!!) @ (^[Y0 : a]: 724.30/94.82 (((!!) @ (^[Y1 : a]: 724.30/94.82 (((X2 @ Y0 @ Y1) => (X2 @ Y1 @ Y0))))))))))) => 724.30/94.82 (X2 @ '#sk2' @ '#sk3')))), 724.30/94.82 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl1080])). 724.30/94.82 thf(zip_derived_cl1176, plain, 724.30/94.82 (![X0 : a > a > $o, X1 : a > a > $o]: 724.30/94.82 (((((((!!) @ (^[Y0 : a]: 724.30/94.82 (((!!) @ (^[Y1 : a]: 724.30/94.82 ((('#sk1' @ Y0 @ Y1) => 724.30/94.82 (((X1 @ Y0 @ Y1) | (X0 @ Y0 @ Y1))))))))))) & 724.30/94.82 (((!!) @ (^[Y0 : a]: 724.30/94.82 (((!!) @ (^[Y1 : a]: 724.30/94.82 (((((X1 @ Y0 @ Y1) | (X0 @ Y0 @ Y1))) => 724.30/94.82 (((X1 @ Y1 @ Y0) | (X0 @ Y1 @ Y0))))))))))))) => 724.30/94.82 (((X1 @ '#sk2' @ '#sk3') | (X0 @ '#sk2' @ '#sk3')))))), 724.30/94.82 inference('ho.refine.early.bird', [status(thm)], [zip_derived_cl1175])). 724.30/94.82 thf(zip_derived_cl1745, plain, 724.30/94.82 (![X0 : a > a > $o, X1 : a > a > $o]: 724.30/94.82 (~ (((((!!) @ (^[Y0 : a]: 724.30/94.82 (((!!) @ (^[Y1 : a]: 724.30/94.82 ((('#sk1' @ Y0 @ Y1) => 724.30/94.82 (((X1 @ Y0 @ Y1) | (X0 @ Y0 @ Y1))))))))))) & 724.30/94.82 (((!!) @ (^[Y0 : a]: 724.30/94.82 (((!!) @ (^[Y1 : a]: 724.30/94.82 (((((X1 @ Y0 @ Y1) | (X0 @ Y0 @ Y1))) => 724.30/94.82 (((X1 @ Y1 @ Y0) | (X0 @ Y1 @ Y0))))))))))))) 724.30/94.82 | (((X1 @ '#sk2' @ '#sk3') | (X0 @ '#sk2' @ '#sk3'))))), 724.30/94.82 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl1176])). 724.30/94.82 thf(zip_derived_cl1746, plain, 724.30/94.82 (![X0 : a > a > $o, X1 : a > a > $o]: 724.30/94.82 (~ (((!!) @ (^[Y0 : a]: 724.30/94.82 (((!!) @ (^[Y1 : a]: 724.30/94.82 ((('#sk1' @ Y0 @ Y1) => 724.30/94.82 (((X1 @ Y0 @ Y1) | (X0 @ Y0 @ Y1))))))))))) 724.30/94.82 | ~ (((!!) @ (^[Y0 : a]: 724.30/94.82 (((!!) @ (^[Y1 : a]: 724.30/94.82 (((((X1 @ Y0 @ Y1) | (X0 @ Y0 @ Y1))) => 724.30/94.82 (((X1 @ Y1 @ Y0) | (X0 @ Y1 @ Y0))))))))))) 724.30/94.82 | (((X1 @ '#sk2' @ '#sk3') | (X0 @ '#sk2' @ '#sk3'))))), 724.30/94.82 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl1745])). 724.30/94.82 thf(zip_derived_cl1747, plain, 724.30/94.82 (![X0 : a > a > $o, X1 : a > a > $o]: 724.30/94.82 (~ (((!!) @ (^[Y0 : a]: 724.30/94.82 ((('#sk1' @ ('#sk178' @ X0 @ X1) @ Y0) => 724.30/94.82 (((X1 @ ('#sk178' @ X0 @ X1) @ Y0) | (X0 @ 724.30/94.82 ('#sk178' @ X0 @ X1) @ Y0)))))))) 724.30/94.82 | (((X1 @ '#sk2' @ '#sk3') | (X0 @ '#sk2' @ '#sk3'))) 724.30/94.82 | ~ (((!!) @ (^[Y0 : a]: 724.30/94.82 (((!!) @ (^[Y1 : a]: 724.30/94.82 (((((X1 @ Y0 @ Y1) | (X0 @ Y0 @ Y1))) => 724.30/94.82 (((X1 @ Y1 @ Y0) | (X0 @ Y1 @ Y0))))))))))))), 724.30/94.82 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl1746])). 724.30/94.82 thf(zip_derived_cl1748, plain, 724.30/94.82 (![X0 : a > a > $o, X1 : a > a > $o]: 724.30/94.82 (~ ((('#sk1' @ ('#sk178' @ X0 @ X1) @ ('#sk201' @ X0 @ X1)) => 724.30/94.82 (((X1 @ ('#sk178' @ X0 @ X1) @ ('#sk201' @ X0 @ X1)) | (X0 @ 724.30/94.82 ('#sk178' @ X0 @ X1) @ ('#sk201' @ X0 @ X1)))))) 724.30/94.82 | ~ (((!!) @ (^[Y0 : a]: 724.30/94.82 (((!!) @ (^[Y1 : a]: 724.30/94.82 (((((X1 @ Y0 @ Y1) | (X0 @ Y0 @ Y1))) => 724.30/94.82 (((X1 @ Y1 @ Y0) | (X0 @ Y1 @ Y0))))))))))) 724.30/94.82 | (((X1 @ '#sk2' @ '#sk3') | (X0 @ '#sk2' @ '#sk3'))))), 724.30/94.82 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl1747])). 724.30/94.82 thf(zip_derived_cl1749, plain, 724.30/94.82 (![X0 : a > a > $o, X1 : a > a > $o]: 724.30/94.82 ( ('#sk1' @ ('#sk178' @ X0 @ X1) @ ('#sk201' @ X0 @ X1)) 724.30/94.82 | (((X1 @ '#sk2' @ '#sk3') | (X0 @ '#sk2' @ '#sk3'))) 724.30/94.82 | ~ (((!!) @ (^[Y0 : a]: 724.30/94.82 (((!!) @ (^[Y1 : a]: 724.30/94.82 (((((X1 @ Y0 @ Y1) | (X0 @ Y0 @ Y1))) => 724.30/94.82 (((X1 @ Y1 @ Y0) | (X0 @ Y1 @ Y0))))))))))))), 724.30/94.82 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl1748])). 724.30/94.82 thf(zip_derived_cl1751, plain, 724.30/94.82 (![X0 : a > a > $o, X1 : a > a > $o]: 724.30/94.82 ( (X1 @ '#sk2' @ '#sk3') 724.30/94.82 | (X0 @ '#sk2' @ '#sk3') 724.30/94.82 | ~ (((!!) @ (^[Y0 : a]: 724.30/94.82 (((!!) @ (^[Y1 : a]: 724.30/94.82 (((((X1 @ Y0 @ Y1) | (X0 @ Y0 @ Y1))) => 724.30/94.82 (((X1 @ Y1 @ Y0) | (X0 @ Y1 @ Y0))))))))))) 724.30/94.82 | ('#sk1' @ ('#sk178' @ X0 @ X1) @ ('#sk201' @ X0 @ X1)))), 724.30/94.82 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl1749])). 724.30/94.82 thf(zip_derived_cl1754, plain, 724.30/94.82 (![X0 : a > a > $o, X1 : a > a > $o]: 724.30/94.82 (~ (((!!) @ (^[Y0 : a]: 724.30/94.82 (((((X1 @ ('#sk290' @ X0 @ X1) @ Y0) | (X0 @ 724.30/94.82 ('#sk290' @ X0 @ X1) @ Y0))) => 724.30/94.82 (((X1 @ Y0 @ ('#sk290' @ X0 @ X1)) | (X0 @ Y0 @ 724.30/94.82 ('#sk290' @ X0 @ X1))))))))) 724.30/94.82 | ('#sk1' @ ('#sk178' @ X0 @ X1) @ ('#sk201' @ X0 @ X1)) 724.30/94.82 | (X0 @ '#sk2' @ '#sk3') 724.30/94.82 | (X1 @ '#sk2' @ '#sk3'))), 724.30/94.82 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl1751])). 724.30/94.82 thf(zip_derived_cl1757, plain, 724.30/94.82 (![X0 : a > a > $o, X1 : a > a > $o]: 724.30/94.82 (~ (((((X1 @ ('#sk290' @ X0 @ X1) @ ('#sk351' @ X0 @ X1)) | (X0 @ 724.30/94.82 ('#sk290' @ X0 @ X1) @ ('#sk351' @ X0 @ X1)))) => 724.30/94.82 (((X1 @ ('#sk351' @ X0 @ X1) @ ('#sk290' @ X0 @ X1)) | (X0 @ 724.30/94.82 ('#sk351' @ X0 @ X1) @ ('#sk290' @ X0 @ X1)))))) 724.30/94.82 | (X1 @ '#sk2' @ '#sk3') 724.30/94.82 | (X0 @ '#sk2' @ '#sk3') 724.30/94.82 | ('#sk1' @ ('#sk178' @ X0 @ X1) @ ('#sk201' @ X0 @ X1)))), 724.30/94.82 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl1754])). 724.30/94.82 thf(zip_derived_cl1760, plain, 724.30/94.82 (![X0 : a > a > $o, X1 : a > a > $o]: 724.30/94.82 ( (((X1 @ ('#sk290' @ X0 @ X1) @ ('#sk351' @ X0 @ X1)) | (X0 @ 724.30/94.82 ('#sk290' @ X0 @ X1) @ ('#sk351' @ X0 @ X1)))) 724.30/94.82 | ('#sk1' @ ('#sk178' @ X0 @ X1) @ ('#sk201' @ X0 @ X1)) 724.30/94.82 | (X0 @ '#sk2' @ '#sk3') 724.30/94.82 | (X1 @ '#sk2' @ '#sk3'))), 724.30/94.82 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl1757])). 724.30/94.82 thf(zip_derived_cl1766, plain, 724.30/94.82 (![X0 : a > a > $o, X1 : a > a > $o]: 724.30/94.82 ( (X1 @ ('#sk290' @ X0 @ X1) @ ('#sk351' @ X0 @ X1)) 724.30/94.82 | (X0 @ ('#sk290' @ X0 @ X1) @ ('#sk351' @ X0 @ X1)) 724.30/94.82 | (X1 @ '#sk2' @ '#sk3') 724.30/94.82 | (X0 @ '#sk2' @ '#sk3') 724.30/94.82 | ('#sk1' @ ('#sk178' @ X0 @ X1) @ ('#sk201' @ X0 @ X1)))), 724.30/94.82 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl1760])). 724.30/94.82 thf(zip_derived_cl71, plain, 724.30/94.82 ((![X0 : a > a > $o, X1 : a > a > $o]: 724.30/94.82 ( (((X1 @ ('#sk290' @ X0 @ X1) @ ('#sk351' @ X0 @ X1)) | (X0 @ 724.30/94.82 ('#sk290' @ X0 @ X1) @ ('#sk351' @ X0 @ X1)))) 724.30/94.82 | (((X1 @ '#sk2' @ '#sk3') | (X0 @ '#sk2' @ '#sk3'))) 724.30/94.82 | ~ (X1 @ ('#sk178' @ X0 @ X1) @ ('#sk201' @ X0 @ X1)))) 724.30/94.82 <= (( (((!!) @ (^[Y0 : a > a > $o]: 724.30/94.82 (((((((!!) @ (^[Y1 : a]: 724.30/94.82 (((!!) @ (^[Y2 : a]: 724.30/94.82 ((('#sk1' @ Y1 @ Y2) => 724.30/94.82 (Y0 @ Y1 @ Y2))))))))) & 724.30/94.82 (((!!) @ (^[Y1 : a]: 724.30/94.82 (((!!) @ (^[Y2 : a]: 724.30/94.82 (((Y0 @ Y1 @ Y2) => 724.30/94.82 (Y0 @ Y2 @ Y1))))))))))) => 724.30/94.82 (Y0 @ '#sk2' @ '#sk3'))))))))), 724.30/94.82 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl67])). 724.30/94.82 thf(zip_derived_cl78, plain, 724.30/94.82 ((![X0 : a > a > $o, X1 : a > a > $o]: 724.30/94.82 ( (X1 @ ('#sk290' @ X0 @ X1) @ ('#sk351' @ X0 @ X1)) 724.30/94.82 | (X0 @ ('#sk290' @ X0 @ X1) @ ('#sk351' @ X0 @ X1)) 724.30/94.82 | ~ (X1 @ ('#sk178' @ X0 @ X1) @ ('#sk201' @ X0 @ X1)) 724.30/94.82 | (((X1 @ '#sk2' @ '#sk3') | (X0 @ '#sk2' @ '#sk3'))))) 724.30/94.82 <= (( (((!!) @ (^[Y0 : a > a > $o]: 724.30/94.82 (((((((!!) @ (^[Y1 : a]: 724.30/94.82 (((!!) @ (^[Y2 : a]: 724.30/94.82 ((('#sk1' @ Y1 @ Y2) => 724.30/94.82 (Y0 @ Y1 @ Y2))))))))) & 724.30/94.82 (((!!) @ (^[Y1 : a]: 724.30/94.82 (((!!) @ (^[Y2 : a]: 724.30/94.82 (((Y0 @ Y1 @ Y2) => 724.30/94.82 (Y0 @ Y2 @ Y1))))))))))) => 724.30/94.82 (Y0 @ '#sk2' @ '#sk3'))))))))), 724.30/94.82 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl71])). 724.30/94.82 thf(zip_derived_cl84, plain, 724.30/94.82 ((![X0 : a > a > $o, X1 : a > a > $o]: 724.30/94.82 ( (X1 @ '#sk2' @ '#sk3') 724.30/94.82 | (X0 @ '#sk2' @ '#sk3') 724.30/94.82 | ~ (X1 @ ('#sk178' @ X0 @ X1) @ ('#sk201' @ X0 @ X1)) 724.30/94.82 | (X0 @ ('#sk290' @ X0 @ X1) @ ('#sk351' @ X0 @ X1)) 724.30/94.82 | (X1 @ ('#sk290' @ X0 @ X1) @ ('#sk351' @ X0 @ X1)))) 724.30/94.82 <= (( (((!!) @ (^[Y0 : a > a > $o]: 724.30/94.82 (((((((!!) @ (^[Y1 : a]: 724.30/94.82 (((!!) @ (^[Y2 : a]: 724.30/94.82 ((('#sk1' @ Y1 @ Y2) => 724.30/94.82 (Y0 @ Y1 @ Y2))))))))) & 724.30/94.82 (((!!) @ (^[Y1 : a]: 724.30/94.82 (((!!) @ (^[Y2 : a]: 724.30/94.82 (((Y0 @ Y1 @ Y2) => 724.30/94.82 (Y0 @ Y2 @ Y1))))))))))) => 724.30/94.82 (Y0 @ '#sk2' @ '#sk3'))))))))), 724.30/94.82 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl78])). 724.30/94.82 thf('11', plain, 724.30/94.82 (( (((!!) @ (^[Y0 : a > a > $o]: 724.30/94.82 (((((((!!) @ (^[Y1 : a]: 724.30/94.82 (((!!) @ (^[Y2 : a]: 724.30/94.82 ((('#sk1' @ Y1 @ Y2) => (Y0 @ 724.30/94.82 Y1 @ Y2))))))))) & 724.30/94.82 (((!!) @ (^[Y1 : a]: 724.30/94.82 (((!!) @ (^[Y2 : a]: 724.30/94.82 (((Y0 @ Y1 @ Y2) => (Y0 @ 724.30/94.82 Y2 @ Y1))))))))))) => 724.30/94.82 (Y0 @ '#sk2' @ '#sk3')))))))), 724.30/94.82 inference('sat_resolution*', [status(thm)], 724.30/94.82 ['0', '1', '2', '3', '4', '5'])). 724.30/94.82 thf(zip_derived_cl1257, plain, 724.30/94.82 (![X0 : a > a > $o, X1 : a > a > $o]: 724.30/94.82 ( (X1 @ '#sk2' @ '#sk3') 724.30/94.82 | (X0 @ '#sk2' @ '#sk3') 724.30/94.82 | ~ (X1 @ ('#sk178' @ X0 @ X1) @ ('#sk201' @ X0 @ X1)) 724.30/94.82 | (X0 @ ('#sk290' @ X0 @ X1) @ ('#sk351' @ X0 @ X1)) 724.30/94.82 | (X1 @ ('#sk290' @ X0 @ X1) @ ('#sk351' @ X0 @ X1)))), 724.30/94.82 inference('simpl_trail', [status(thm)], [zip_derived_cl84, '11'])). 724.30/94.82 thf(zip_derived_cl1781, plain, 724.30/94.82 (![X0 : a > a > $o]: 724.30/94.82 ( (X0 @ '#sk2' @ '#sk3') 724.30/94.82 | ('#sk1' @ '#sk2' @ '#sk3') 724.30/94.82 | (X0 @ ('#sk290' @ X0 @ '#sk1') @ ('#sk351' @ X0 @ '#sk1')) 724.30/94.82 | ('#sk1' @ ('#sk290' @ X0 @ '#sk1') @ ('#sk351' @ X0 @ '#sk1')) 724.30/94.82 | ('#sk1' @ ('#sk290' @ X0 @ '#sk1') @ ('#sk351' @ X0 @ '#sk1')) 724.30/94.82 | (X0 @ ('#sk290' @ X0 @ '#sk1') @ ('#sk351' @ X0 @ '#sk1')) 724.30/94.82 | (X0 @ '#sk2' @ '#sk3') 724.30/94.82 | ('#sk1' @ '#sk2' @ '#sk3'))), 724.30/94.82 inference('sup-', [status(thm)], [zip_derived_cl1766, zip_derived_cl1257])). 724.30/94.82 thf(zip_derived_cl1068, plain, (~ ('#sk1' @ '#sk2' @ '#sk3')), 724.30/94.82 inference('simpl_trail', [status(thm)], [zip_derived_cl1066, '10'])). 724.30/94.82 thf(zip_derived_cl1068, plain, (~ ('#sk1' @ '#sk2' @ '#sk3')), 724.30/94.82 inference('simpl_trail', [status(thm)], [zip_derived_cl1066, '10'])). 724.30/94.82 thf(zip_derived_cl2007, plain, 724.30/94.82 (![X0 : a > a > $o]: 724.30/94.82 ( (X0 @ '#sk2' @ '#sk3') 724.30/94.82 | (X0 @ ('#sk290' @ X0 @ '#sk1') @ ('#sk351' @ X0 @ '#sk1')) 724.30/94.82 | ('#sk1' @ ('#sk290' @ X0 @ '#sk1') @ ('#sk351' @ X0 @ '#sk1')) 724.30/94.82 | ('#sk1' @ ('#sk290' @ X0 @ '#sk1') @ ('#sk351' @ X0 @ '#sk1')) 724.30/94.82 | (X0 @ ('#sk290' @ X0 @ '#sk1') @ ('#sk351' @ X0 @ '#sk1')) 724.30/94.82 | (X0 @ '#sk2' @ '#sk3'))), 724.30/94.82 inference('demod', [status(thm)], 724.30/94.82 [zip_derived_cl1781, zip_derived_cl1068, zip_derived_cl1068])). 724.30/94.82 thf(zip_derived_cl2008, plain, 724.30/94.82 (![X0 : a > a > $o]: 724.30/94.82 ( ('#sk1' @ ('#sk290' @ X0 @ '#sk1') @ ('#sk351' @ X0 @ '#sk1')) 724.30/94.82 | (X0 @ ('#sk290' @ X0 @ '#sk1') @ ('#sk351' @ X0 @ '#sk1')) 724.30/94.82 | (X0 @ '#sk2' @ '#sk3'))), 724.30/94.82 inference('simplify', [status(thm)], [zip_derived_cl2007])). 724.30/94.82 thf(zip_derived_cl7863, plain, 724.30/94.82 (( ((^[Y0 : a,Y1 : a]: 724.30/94.82 ('#sk1' @ Y1 @ ((^[Y2 : a,Y3 : a]: (Y2)) @ Y0 @ Y1))) @ 724.30/94.82 '#sk2' @ '#sk3') 724.30/94.82 | ((^[Y0 : a,Y1 : a]: 724.30/94.82 ('#sk1' @ ((^[Y2 : a,Y3 : a]: (Y3)) @ Y0 @ Y1) @ 724.30/94.82 ((^[Y2 : a,Y3 : a]: (Y2)) @ Y0 @ Y1))) @ 724.30/94.82 '#sk2' @ '#sk3') 724.30/94.82 | ('#sk1' @ 724.30/94.82 ('#sk290' @ 724.30/94.82 (^[Y0 : a,Y1 : a]: 724.30/94.82 ('#sk1' @ ((^[Y2 : a,Y3 : a]: (Y3)) @ Y0 @ Y1) @ 724.30/94.82 ((^[Y2 : a,Y3 : a]: (Y2)) @ Y0 @ Y1))) @ 724.30/94.82 '#sk1') @ 724.30/94.82 ('#sk351' @ 724.30/94.82 (^[Y0 : a,Y1 : a]: 724.30/94.82 ('#sk1' @ ((^[Y2 : a,Y3 : a]: (Y3)) @ Y0 @ Y1) @ 724.30/94.82 ((^[Y2 : a,Y3 : a]: (Y2)) @ Y0 @ Y1))) @ 724.30/94.82 '#sk1')))), 724.30/94.82 inference('sup+', [status(thm)], [zip_derived_cl2422, zip_derived_cl2008])). 724.30/94.82 thf(zip_derived_cl7950, plain, 724.30/94.82 (( ('#sk1' @ '#sk3' @ '#sk2') 724.30/94.82 | ('#sk1' @ '#sk3' @ '#sk2') 724.30/94.82 | ('#sk1' @ 724.30/94.82 ('#sk290' @ (^[Y0 : a,Y1 : a]: ('#sk1' @ Y1 @ Y0)) @ '#sk1') @ 724.30/94.82 ('#sk351' @ (^[Y0 : a,Y1 : a]: ('#sk1' @ Y1 @ Y0)) @ '#sk1')))), 724.30/94.82 inference('ho_norm', [status(thm)], [zip_derived_cl7863])). 724.30/94.82 thf(zip_derived_cl989, plain, (~ ('#sk1' @ '#sk3' @ '#sk2')), 724.30/94.82 inference('simpl_trail', [status(thm)], [zip_derived_cl37, '9'])). 724.30/94.82 thf(zip_derived_cl989, plain, (~ ('#sk1' @ '#sk3' @ '#sk2')), 724.30/94.82 inference('simpl_trail', [status(thm)], [zip_derived_cl37, '9'])). 724.30/94.82 thf(zip_derived_cl7951, plain, 724.30/94.82 ( ('#sk1' @ 724.30/94.82 ('#sk290' @ (^[Y0 : a,Y1 : a]: ('#sk1' @ Y1 @ Y0)) @ '#sk1') @ 724.30/94.82 ('#sk351' @ (^[Y0 : a,Y1 : a]: ('#sk1' @ Y1 @ Y0)) @ '#sk1'))), 724.30/94.82 inference('demod', [status(thm)], 724.30/94.82 [zip_derived_cl7950, zip_derived_cl989, zip_derived_cl989])). 724.30/94.82 thf(zip_derived_cl80, plain, 724.30/94.82 ((![X0 : a > a > $o, X1 : a > a > $o]: 724.30/94.82 (~ (X0 @ ('#sk351' @ X0 @ X1) @ ('#sk290' @ X0 @ X1)) 724.30/94.82 | ~ (X1 @ ('#sk178' @ X0 @ X1) @ ('#sk201' @ X0 @ X1)) 724.30/94.82 | (((X1 @ '#sk2' @ '#sk3') | (X0 @ '#sk2' @ '#sk3'))))) 724.30/94.82 <= (( (((!!) @ (^[Y0 : a > a > $o]: 724.30/94.82 (((((((!!) @ (^[Y1 : a]: 724.30/94.82 (((!!) @ (^[Y2 : a]: 724.30/94.82 ((('#sk1' @ Y1 @ Y2) => 724.30/94.82 (Y0 @ Y1 @ Y2))))))))) & 724.30/94.82 (((!!) @ (^[Y1 : a]: 724.30/94.82 (((!!) @ (^[Y2 : a]: 724.30/94.82 (((Y0 @ Y1 @ Y2) => 724.30/94.82 (Y0 @ Y2 @ Y1))))))))))) => 724.30/94.82 (Y0 @ '#sk2' @ '#sk3'))))))))), 724.30/94.82 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl72])). 724.30/94.82 thf(zip_derived_cl86, plain, 724.30/94.82 ((![X0 : a > a > $o, X1 : a > a > $o]: 724.30/94.82 ( (X1 @ '#sk2' @ '#sk3') 724.30/94.82 | (X0 @ '#sk2' @ '#sk3') 724.30/94.82 | ~ (X1 @ ('#sk178' @ X0 @ X1) @ ('#sk201' @ X0 @ X1)) 724.30/94.82 | ~ (X0 @ ('#sk351' @ X0 @ X1) @ ('#sk290' @ X0 @ X1)))) 724.30/94.82 <= (( (((!!) @ (^[Y0 : a > a > $o]: 724.30/94.82 (((((((!!) @ (^[Y1 : a]: 724.30/94.82 (((!!) @ (^[Y2 : a]: 724.30/94.82 ((('#sk1' @ Y1 @ Y2) => 724.30/94.83 (Y0 @ Y1 @ Y2))))))))) & 724.30/94.83 (((!!) @ (^[Y1 : a]: 724.30/94.83 (((!!) @ (^[Y2 : a]: 724.30/94.83 (((Y0 @ Y1 @ Y2) => 724.30/94.83 (Y0 @ Y2 @ Y1))))))))))) => 724.30/94.83 (Y0 @ '#sk2' @ '#sk3'))))))))), 724.30/94.83 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl80])). 724.30/94.83 thf('12', plain, 724.30/94.83 (( (((!!) @ (^[Y0 : a > a > $o]: 724.30/94.83 (((((((!!) @ (^[Y1 : a]: 724.30/94.83 (((!!) @ (^[Y2 : a]: 724.30/94.83 ((('#sk1' @ Y1 @ Y2) => (Y0 @ 724.30/94.83 Y1 @ Y2))))))))) & 724.30/94.83 (((!!) @ (^[Y1 : a]: 724.30/94.83 (((!!) @ (^[Y2 : a]: 724.30/94.83 (((Y0 @ Y1 @ Y2) => (Y0 @ 724.30/94.83 Y2 @ Y1))))))))))) => 724.30/94.83 (Y0 @ '#sk2' @ '#sk3')))))))), 724.30/94.83 inference('sat_resolution*', [status(thm)], 724.30/94.83 ['0', '1', '2', '3', '4', '5'])). 724.30/94.83 thf(zip_derived_cl2819, plain, 724.30/94.83 (![X0 : a > a > $o, X1 : a > a > $o]: 724.30/94.83 ( (X1 @ '#sk2' @ '#sk3') 724.30/94.83 | (X0 @ '#sk2' @ '#sk3') 724.30/94.83 | ~ (X1 @ ('#sk178' @ X0 @ X1) @ ('#sk201' @ X0 @ X1)) 724.30/94.83 | ~ (X0 @ ('#sk351' @ X0 @ X1) @ ('#sk290' @ X0 @ X1)))), 724.30/94.83 inference('simpl_trail', [status(thm)], [zip_derived_cl86, '12'])). 724.30/94.83 thf(zip_derived_cl8153, plain, 724.30/94.83 ((~ ('#sk1' @ 724.30/94.83 ('#sk178' @ 724.30/94.83 (^[Y0 : a,Y1 : a]: 724.30/94.83 ('#sk1' @ ((^[Y2 : a,Y3 : a]: (Y3)) @ Y0 @ Y1) @ 724.30/94.83 ((^[Y2 : a,Y3 : a]: (Y2)) @ Y0 @ Y1))) @ 724.30/94.83 '#sk1') @ 724.30/94.83 ('#sk201' @ 724.30/94.83 (^[Y0 : a,Y1 : a]: 724.30/94.83 ('#sk1' @ ((^[Y2 : a,Y3 : a]: (Y3)) @ Y0 @ Y1) @ 724.30/94.83 ((^[Y2 : a,Y3 : a]: (Y2)) @ Y0 @ Y1))) @ 724.30/94.83 '#sk1')) 724.30/94.83 | ((^[Y0 : a,Y1 : a]: 724.30/94.83 ('#sk1' @ ((^[Y2 : a,Y3 : a]: (Y3)) @ Y0 @ Y1) @ 724.30/94.83 ((^[Y2 : a,Y3 : a]: (Y2)) @ Y0 @ Y1))) @ 724.30/94.83 '#sk2' @ '#sk3') 724.30/94.83 | ('#sk1' @ '#sk2' @ '#sk3'))), 724.30/94.83 inference('sup-', [status(thm)], [zip_derived_cl7951, zip_derived_cl2819])). 724.30/94.83 thf(zip_derived_cl8162, plain, 724.30/94.83 ((~ ('#sk1' @ 724.30/94.83 ('#sk178' @ (^[Y0 : a,Y1 : a]: ('#sk1' @ Y1 @ Y0)) @ '#sk1') @ 724.30/94.83 ('#sk201' @ (^[Y0 : a,Y1 : a]: ('#sk1' @ Y1 @ Y0)) @ '#sk1')) 724.30/94.83 | ('#sk1' @ '#sk3' @ '#sk2') 724.30/94.83 | ('#sk1' @ '#sk2' @ '#sk3'))), 724.30/94.83 inference('ho_norm', [status(thm)], [zip_derived_cl8153])). 724.30/94.83 thf(zip_derived_cl989, plain, (~ ('#sk1' @ '#sk3' @ '#sk2')), 724.30/94.83 inference('simpl_trail', [status(thm)], [zip_derived_cl37, '9'])). 724.30/94.83 thf(zip_derived_cl1068, plain, (~ ('#sk1' @ '#sk2' @ '#sk3')), 724.30/94.83 inference('simpl_trail', [status(thm)], [zip_derived_cl1066, '10'])). 724.30/94.83 thf(zip_derived_cl8163, plain, 724.30/94.83 (~ ('#sk1' @ 724.30/94.83 ('#sk178' @ (^[Y0 : a,Y1 : a]: ('#sk1' @ Y1 @ Y0)) @ '#sk1') @ 724.30/94.83 ('#sk201' @ (^[Y0 : a,Y1 : a]: ('#sk1' @ Y1 @ Y0)) @ '#sk1'))), 724.30/94.83 inference('demod', [status(thm)], 724.30/94.83 [zip_derived_cl8162, zip_derived_cl989, zip_derived_cl1068])). 724.30/94.83 thf(zip_derived_cl8172, plain, 724.30/94.83 (( ((^[Y0 : a,Y1 : a]: ('#sk1' @ Y1 @ Y0)) @ '#sk2' @ '#sk3') 724.30/94.83 | ('#sk1' @ '#sk2' @ '#sk3') 724.30/94.83 | ~ ((^[Y0 : a,Y1 : a]: ('#sk1' @ Y1 @ Y0)) @ 724.30/94.83 ('#sk351' @ (^[Y0 : a,Y1 : a]: ('#sk1' @ Y1 @ Y0)) @ '#sk1') @ 724.30/94.83 ('#sk290' @ (^[Y0 : a,Y1 : a]: ('#sk1' @ Y1 @ Y0)) @ '#sk1')))), 724.30/94.83 inference('sup-', [status(thm)], [zip_derived_cl1082, zip_derived_cl8163])). 724.30/94.83 thf(zip_derived_cl8179, plain, 724.30/94.83 (( ('#sk1' @ '#sk3' @ '#sk2') 724.30/94.83 | ('#sk1' @ '#sk2' @ '#sk3') 724.30/94.83 | ~ ('#sk1' @ 724.30/94.83 ('#sk290' @ (^[Y0 : a,Y1 : a]: ('#sk1' @ Y1 @ Y0)) @ '#sk1') @ 724.30/94.83 ('#sk351' @ (^[Y0 : a,Y1 : a]: ('#sk1' @ Y1 @ Y0)) @ '#sk1')))), 724.30/94.83 inference('ho_norm', [status(thm)], [zip_derived_cl8172])). 724.30/94.83 thf(zip_derived_cl989, plain, (~ ('#sk1' @ '#sk3' @ '#sk2')), 724.30/94.83 inference('simpl_trail', [status(thm)], [zip_derived_cl37, '9'])). 724.30/94.83 thf(zip_derived_cl1068, plain, (~ ('#sk1' @ '#sk2' @ '#sk3')), 724.30/94.83 inference('simpl_trail', [status(thm)], [zip_derived_cl1066, '10'])). 724.30/94.83 thf(zip_derived_cl7951, plain, 724.30/94.83 ( ('#sk1' @ 724.30/94.83 ('#sk290' @ (^[Y0 : a,Y1 : a]: ('#sk1' @ Y1 @ Y0)) @ '#sk1') @ 724.30/94.83 ('#sk351' @ (^[Y0 : a,Y1 : a]: ('#sk1' @ Y1 @ Y0)) @ '#sk1'))), 724.30/94.83 inference('demod', [status(thm)], 724.30/94.83 [zip_derived_cl7950, zip_derived_cl989, zip_derived_cl989])). 724.30/94.83 thf(zip_derived_cl8180, plain, ($false), 724.30/94.83 inference('demod', [status(thm)], 724.30/94.83 [zip_derived_cl8179, zip_derived_cl989, zip_derived_cl1068, 724.30/94.83 zip_derived_cl7951])). 724.30/94.83 724.30/94.83 % SZS output end Refutation 724.30/94.83 724.30/94.83 724.30/94.83 % Terminating... 724.57/94.92 % Runner terminated. 724.57/94.94 % Zipperpin 1.5 exiting 724.57/94.96 EOF