0.03/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.03/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.HKxpn1ooaj true 0.13/0.34 % Computer : n019.cluster.edu 0.13/0.34 % Model : x86_64 x86_64 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.13/0.34 % Memory : 8042.1875MB 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64 0.13/0.34 % CPULimit : 960 0.13/0.34 % WCLimit : 120 0.13/0.34 % DateTime : Tue Aug 9 03:29:06 EDT 2022 0.13/0.34 % CPUTime : 0.13/0.34 % Running portfolio for 960 s 0.13/0.34 % File : /export/starexec/sandbox/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 0.54/0.64 % Total configuration time : 828 0.54/0.64 % Estimated wc time : 1656 0.54/0.64 % Estimated cpu time (8 cpus) : 207.0 0.55/0.69 % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s 0.55/0.74 % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s 0.55/0.74 % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s 0.55/0.74 % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s 0.55/0.74 % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s 0.56/0.76 % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s 0.56/0.76 % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s 0.56/0.78 % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s 237.75/30.64 % /export/starexec/sandbox/solver/bin/lams/30_b.l.sh running for 90s 318.29/40.81 % /export/starexec/sandbox/solver/bin/lams/35_full_unif.sh running for 56s 477.68/60.89 % /export/starexec/sandbox/solver/bin/lams/15_old_s4.sh running for 30s 555.89/70.87 % /export/starexec/sandbox/solver/bin/lams/15_lifting3.sh running for 30s 556.33/70.93 % /export/starexec/sandbox/solver/bin/lams/33_shallow_sine.sh running for 66s 633.60/80.66 % /export/starexec/sandbox/solver/bin/lams/40_e_lift.sh running for 80s 633.60/80.73 % /export/starexec/sandbox/solver/bin/lams/15_lifting1.sh running for 30s 633.93/80.80 % /export/starexec/sandbox/solver/bin/lams/8_new_cnf.sh running for 16s 633.93/80.81 % /export/starexec/sandbox/solver/bin/lams/10_e_short2.sh running for 20s 711.27/90.62 % /export/starexec/sandbox/solver/bin/lams/8_add_var_l_av.sh running for 16s 711.98/90.82 % /export/starexec/sandbox/solver/bin/lams/8_new_sh_or.sh running for 16s 755.04/96.18 % Solved by lams/8_new_sh_or.sh. 755.04/96.18 % done 204 iterations in 5.296s 755.04/96.18 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p' 755.04/96.18 % SZS output start Refutation 755.04/96.18 thf(a_type, type, a: $tType). 755.04/96.18 thf('#sk290_type', type, '#sk290': (a > a > $o) > (a > a > $o) > a). 755.04/96.18 thf('#sk2_type', type, '#sk2': a). 755.04/96.18 thf('#sk201_type', type, '#sk201': (a > a > $o) > (a > a > $o) > a). 755.04/96.18 thf('#sk178_type', type, '#sk178': (a > a > $o) > (a > a > $o) > a). 755.04/96.18 thf('#sk351_type', type, '#sk351': (a > a > $o) > (a > a > $o) > a). 755.04/96.18 thf('#sk141_type', type, '#sk141': a > a > $o). 755.04/96.18 thf('#sk1_type', type, '#sk1': a > a > $o). 755.04/96.18 thf('#sk3_type', type, '#sk3': a). 755.04/96.18 thf(cTHM522_pme, conjecture, 755.04/96.18 (![Xr:( a > a > $o ),Xx:a,Xy:a]: 755.04/96.18 ( ( ![Xp:( a > a > $o )]: 755.04/96.18 ( ( ( ![Xx0:a,Xy0:a]: ( ( Xr @ Xx0 @ Xy0 ) => ( Xp @ Xx0 @ Xy0 ) ) ) & 755.04/96.18 ( ![Xx0:a,Xy0:a]: ( ( Xp @ Xx0 @ Xy0 ) => ( Xp @ Xy0 @ Xx0 ) ) ) ) => 755.04/96.18 ( Xp @ Xx @ Xy ) ) ) <=> 755.04/96.18 ( ( Xr @ Xy @ Xx ) | ( Xr @ Xx @ Xy ) ) ))). 755.04/96.18 thf(zf_stmt_0, negated_conjecture, 755.04/96.18 (~( ![Xr:( a > a > $o ),Xx:a,Xy:a]: 755.04/96.18 ( ( ![Xp:( a > a > $o )]: 755.04/96.18 ( ( ( ![Xx0:a,Xy0:a]: ( ( Xr @ Xx0 @ Xy0 ) => ( Xp @ Xx0 @ Xy0 ) ) ) & 755.04/96.18 ( ![Xx0:a,Xy0:a]: ( ( Xp @ Xx0 @ Xy0 ) => ( Xp @ Xy0 @ Xx0 ) ) ) ) => 755.04/96.18 ( Xp @ Xx @ Xy ) ) ) <=> 755.04/96.18 ( ( Xr @ Xy @ Xx ) | ( Xr @ Xx @ Xy ) ) ) )), 755.04/96.18 inference('cnf.neg', [status(esa)], [cTHM522_pme])). 755.04/96.18 thf(zip_derived_cl0, plain, 755.04/96.18 (~ (((!!) @ (^[Y0 : a > a > $o]: 755.04/96.18 (((!!) @ (^[Y1 : a]: 755.04/96.18 (((!!) @ (^[Y2 : a]: 755.04/96.18 (((((!!) @ (^[Y3 : a > a > $o]: 755.04/96.18 (((((((!!) @ ( 755.04/96.18 ^[Y4 : a]: 755.04/96.18 (((!!) @ ( 755.04/96.18 ^[Y5 : a]: 755.04/96.18 (( 755.04/96.18 (Y0 @ 755.04/96.18 Y4 @ 755.04/96.18 Y5) => 755.04/96.18 (Y3 @ 755.04/96.18 Y4 @ Y5))))))))) & 755.04/96.18 (((!!) @ ( 755.04/96.18 ^[Y4 : a]: 755.04/96.18 (((!!) @ ( 755.04/96.18 ^[Y5 : a]: 755.04/96.18 (( 755.04/96.18 (Y3 @ 755.04/96.18 Y4 @ 755.04/96.18 Y5) => 755.04/96.18 (Y3 @ 755.04/96.18 Y5 @ Y4))))))))))) => 755.04/96.18 (Y3 @ Y1 @ Y2)))))) <=> 755.04/96.18 (((Y0 @ Y2 @ Y1) | (Y0 @ Y1 @ 755.04/96.18 Y2))))))))))))))), 755.04/96.18 inference('cnf', [status(esa)], [zf_stmt_0])). 755.04/96.18 thf(zip_derived_cl1, plain, 755.04/96.18 (~ (((!!) @ (^[Y0 : a]: 755.04/96.18 (((!!) @ (^[Y1 : a]: 755.04/96.18 (((((!!) @ (^[Y2 : a > a > $o]: 755.04/96.18 (((((((!!) @ (^[Y3 : a]: 755.04/96.18 (((!!) @ ( 755.04/96.18 ^[Y4 : a]: 755.04/96.18 ((('#sk1' @ 755.04/96.18 Y3 @ 755.04/96.18 Y4) => 755.04/96.18 (Y2 @ 755.04/96.18 Y3 @ Y4))))))))) & 755.04/96.18 (((!!) @ (^[Y3 : a]: 755.04/96.18 (((!!) @ ( 755.04/96.18 ^[Y4 : a]: 755.04/96.18 (((Y2 @ 755.04/96.18 Y3 @ 755.04/96.18 Y4) => 755.04/96.18 (Y2 @ 755.04/96.18 Y4 @ Y3))))))))))) => 755.04/96.18 (Y2 @ Y0 @ Y1)))))) <=> 755.04/96.18 ((('#sk1' @ Y1 @ Y0) | ('#sk1' @ Y0 @ Y1)))))))))))), 755.04/96.18 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl0])). 755.04/96.18 thf(zip_derived_cl2, plain, 755.04/96.18 (~ (((!!) @ (^[Y0 : a]: 755.04/96.18 (((((!!) @ (^[Y1 : a > a > $o]: 755.04/96.18 (((((((!!) @ (^[Y2 : a]: 755.04/96.18 (((!!) @ (^[Y3 : a]: 755.04/96.18 ((('#sk1' @ 755.04/96.18 Y2 @ Y3) => 755.04/96.18 (Y1 @ Y2 @ Y3))))))))) & 755.04/96.18 (((!!) @ (^[Y2 : a]: 755.04/96.18 (((!!) @ (^[Y3 : a]: 755.04/96.18 (((Y1 @ Y2 @ 755.04/96.18 Y3) => (Y1 @ 755.04/96.18 Y3 @ Y2))))))))))) => 755.04/96.18 (Y1 @ '#sk2' @ Y0)))))) <=> 755.04/96.18 ((('#sk1' @ Y0 @ '#sk2') | ('#sk1' @ '#sk2' @ Y0))))))))), 755.04/96.18 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl1])). 755.04/96.18 thf(zip_derived_cl3, plain, 755.04/96.18 (~ (((((!!) @ (^[Y0 : a > a > $o]: 755.04/96.18 (((((((!!) @ (^[Y1 : a]: 755.04/96.18 (((!!) @ (^[Y2 : a]: 755.04/96.18 ((('#sk1' @ Y1 @ Y2) => 755.04/96.18 (Y0 @ Y1 @ Y2))))))))) & 755.04/96.18 (((!!) @ (^[Y1 : a]: 755.04/96.18 (((!!) @ (^[Y2 : a]: 755.04/96.18 (((Y0 @ Y1 @ Y2) => (Y0 @ 755.04/96.18 Y2 @ Y1))))))))))) => 755.04/96.18 (Y0 @ '#sk2' @ '#sk3')))))) <=> 755.04/96.18 ((('#sk1' @ '#sk3' @ '#sk2') | ('#sk1' @ '#sk2' @ '#sk3')))))), 755.04/96.18 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl2])). 755.04/96.18 thf(zip_derived_cl4, plain, 755.04/96.18 (((((!!) @ (^[Y0 : a > a > $o]: 755.04/96.18 (((((((!!) @ (^[Y1 : a]: 755.04/96.18 (((!!) @ (^[Y2 : a]: 755.04/96.18 ((('#sk1' @ Y1 @ Y2) => (Y0 @ 755.04/96.18 Y1 @ Y2))))))))) & 755.04/96.18 (((!!) @ (^[Y1 : a]: 755.04/96.18 (((!!) @ (^[Y2 : a]: 755.04/96.18 (((Y0 @ Y1 @ Y2) => (Y0 @ Y2 @ 755.04/96.18 Y1))))))))))) => 755.04/96.18 (Y0 @ '#sk2' @ '#sk3')))))) 755.04/96.18 != ((('#sk1' @ '#sk3' @ '#sk2') | ('#sk1' @ '#sk2' @ '#sk3'))))), 755.04/96.18 inference('simplify nested equalities', [status(thm)], [zip_derived_cl3])). 755.04/96.18 thf(zip_derived_cl5, plain, 755.04/96.18 (( (((!!) @ (^[Y0 : a > a > $o]: 755.04/96.18 (((((((!!) @ (^[Y1 : a]: 755.04/96.18 (((!!) @ (^[Y2 : a]: 755.04/96.18 ((('#sk1' @ Y1 @ Y2) => (Y0 @ 755.04/96.18 Y1 @ Y2))))))))) & 755.04/96.18 (((!!) @ (^[Y1 : a]: 755.04/96.18 (((!!) @ (^[Y2 : a]: 755.04/96.18 (((Y0 @ Y1 @ Y2) => (Y0 @ 755.04/96.18 Y2 @ Y1))))))))))) => 755.04/96.18 (Y0 @ '#sk2' @ '#sk3')))))) 755.04/96.18 | ((('#sk1' @ '#sk3' @ '#sk2') | ('#sk1' @ '#sk2' @ '#sk3'))))), 755.04/96.18 inference('eq_elim', [status(thm)], [zip_derived_cl4])). 755.04/96.18 thf(zip_derived_cl8, plain, 755.04/96.18 (( (((!!) @ (^[Y0 : a > a > $o]: 755.04/96.18 (((((((!!) @ (^[Y1 : a]: 755.04/96.18 (((!!) @ (^[Y2 : a]: 755.04/96.18 ((('#sk1' @ Y1 @ Y2) => (Y0 @ 755.04/96.18 Y1 @ Y2))))))))) & 755.04/96.18 (((!!) @ (^[Y1 : a]: 755.04/96.18 (((!!) @ (^[Y2 : a]: 755.04/96.18 (((Y0 @ Y1 @ Y2) => (Y0 @ 755.04/96.18 Y2 @ Y1))))))))))) => 755.04/96.18 (Y0 @ '#sk2' @ '#sk3'))))))) 755.04/96.18 <= (( (((!!) @ (^[Y0 : a > a > $o]: 755.04/96.18 (((((((!!) @ (^[Y1 : a]: 755.04/96.18 (((!!) @ (^[Y2 : a]: 755.04/96.18 ((('#sk1' @ Y1 @ Y2) => 755.04/96.18 (Y0 @ Y1 @ Y2))))))))) & 755.04/96.18 (((!!) @ (^[Y1 : a]: 755.04/96.18 (((!!) @ (^[Y2 : a]: 755.04/96.18 (((Y0 @ Y1 @ Y2) => 755.04/96.18 (Y0 @ Y2 @ Y1))))))))))) => 755.04/96.18 (Y0 @ '#sk2' @ '#sk3'))))))))), 755.04/96.18 inference('split', [status(esa)], [zip_derived_cl5])). 755.04/96.18 thf(zip_derived_cl10, plain, 755.04/96.18 ((![X2 : a > a > $o]: 755.04/96.18 (((((((!!) @ (^[Y0 : a]: 755.04/96.18 (((!!) @ (^[Y1 : a]: 755.04/96.18 ((('#sk1' @ Y0 @ Y1) => (X2 @ Y0 @ Y1))))))))) & 755.04/96.18 (((!!) @ (^[Y0 : a]: 755.04/96.18 (((!!) @ (^[Y1 : a]: 755.04/96.18 (((X2 @ Y0 @ Y1) => (X2 @ Y1 @ Y0))))))))))) => 755.04/96.18 (X2 @ '#sk2' @ '#sk3')))) 755.04/96.18 <= (( (((!!) @ (^[Y0 : a > a > $o]: 755.04/96.18 (((((((!!) @ (^[Y1 : a]: 755.04/96.18 (((!!) @ (^[Y2 : a]: 755.04/96.18 ((('#sk1' @ Y1 @ Y2) => 755.04/96.18 (Y0 @ Y1 @ Y2))))))))) & 755.04/96.18 (((!!) @ (^[Y1 : a]: 755.04/96.18 (((!!) @ (^[Y2 : a]: 755.04/96.18 (((Y0 @ Y1 @ Y2) => 755.04/96.18 (Y0 @ Y2 @ Y1))))))))))) => 755.04/96.18 (Y0 @ '#sk2' @ '#sk3'))))))))), 755.04/96.18 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl8])). 755.04/96.18 thf(zip_derived_cl11, plain, 755.04/96.18 ((![X0 : a > a > $o, X1 : a > a > $o]: 755.04/96.18 (((((((!!) @ (^[Y0 : a]: 755.04/96.18 (((!!) @ (^[Y1 : a]: 755.04/96.18 ((('#sk1' @ Y0 @ Y1) => 755.04/96.18 (((X1 @ Y0 @ Y1) | (X0 @ Y0 @ Y1))))))))))) & 755.04/96.18 (((!!) @ (^[Y0 : a]: 755.04/96.18 (((!!) @ (^[Y1 : a]: 755.04/96.18 (((((X1 @ Y0 @ Y1) | (X0 @ Y0 @ Y1))) => 755.04/96.18 (((X1 @ Y1 @ Y0) | (X0 @ Y1 @ Y0))))))))))))) => 755.04/96.18 (((X1 @ '#sk2' @ '#sk3') | (X0 @ '#sk2' @ '#sk3')))))) 755.04/96.18 <= (( (((!!) @ (^[Y0 : a > a > $o]: 755.04/96.18 (((((((!!) @ (^[Y1 : a]: 755.04/96.18 (((!!) @ (^[Y2 : a]: 755.04/96.18 ((('#sk1' @ Y1 @ Y2) => 755.04/96.18 (Y0 @ Y1 @ Y2))))))))) & 755.04/96.18 (((!!) @ (^[Y1 : a]: 755.04/96.18 (((!!) @ (^[Y2 : a]: 755.04/96.18 (((Y0 @ Y1 @ Y2) => 755.04/96.18 (Y0 @ Y2 @ Y1))))))))))) => 755.04/96.18 (Y0 @ '#sk2' @ '#sk3'))))))))), 755.04/96.18 inference('ho.refine.early.bird', [status(thm)], [zip_derived_cl10])). 755.04/96.18 thf(zip_derived_cl54, plain, 755.04/96.18 ((![X0 : a > a > $o, X1 : a > a > $o]: 755.04/96.18 (~ (((((!!) @ (^[Y0 : a]: 755.04/96.18 (((!!) @ (^[Y1 : a]: 755.04/96.18 ((('#sk1' @ Y0 @ Y1) => 755.04/96.18 (((X1 @ Y0 @ Y1) | (X0 @ Y0 @ Y1))))))))))) & 755.04/96.18 (((!!) @ (^[Y0 : a]: 755.04/96.18 (((!!) @ (^[Y1 : a]: 755.04/96.18 (((((X1 @ Y0 @ Y1) | (X0 @ Y0 @ Y1))) => 755.04/96.18 (((X1 @ Y1 @ Y0) | (X0 @ Y1 @ Y0))))))))))))) 755.04/96.18 | (((X1 @ '#sk2' @ '#sk3') | (X0 @ '#sk2' @ '#sk3'))))) 755.04/96.18 <= (( (((!!) @ (^[Y0 : a > a > $o]: 755.04/96.18 (((((((!!) @ (^[Y1 : a]: 755.04/96.18 (((!!) @ (^[Y2 : a]: 755.04/96.18 ((('#sk1' @ Y1 @ Y2) => 755.04/96.18 (Y0 @ Y1 @ Y2))))))))) & 755.04/96.18 (((!!) @ (^[Y1 : a]: 755.04/96.18 (((!!) @ (^[Y2 : a]: 755.04/96.18 (((Y0 @ Y1 @ Y2) => 755.04/96.18 (Y0 @ Y2 @ Y1))))))))))) => 755.04/96.18 (Y0 @ '#sk2' @ '#sk3'))))))))), 755.04/96.18 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl11])). 755.04/96.18 thf(zip_derived_cl55, plain, 755.04/96.18 ((![X0 : a > a > $o, X1 : a > a > $o]: 755.04/96.18 (~ (((!!) @ (^[Y0 : a]: 755.04/96.18 (((!!) @ (^[Y1 : a]: 755.04/96.18 ((('#sk1' @ Y0 @ Y1) => 755.04/96.18 (((X1 @ Y0 @ Y1) | (X0 @ Y0 @ Y1))))))))))) 755.04/96.18 | ~ (((!!) @ (^[Y0 : a]: 755.04/96.18 (((!!) @ (^[Y1 : a]: 755.04/96.18 (((((X1 @ Y0 @ Y1) | (X0 @ Y0 @ Y1))) => 755.04/96.18 (((X1 @ Y1 @ Y0) | (X0 @ Y1 @ Y0))))))))))) 755.04/96.18 | (((X1 @ '#sk2' @ '#sk3') | (X0 @ '#sk2' @ '#sk3'))))) 755.04/96.18 <= (( (((!!) @ (^[Y0 : a > a > $o]: 755.04/96.18 (((((((!!) @ (^[Y1 : a]: 755.04/96.18 (((!!) @ (^[Y2 : a]: 755.04/96.18 ((('#sk1' @ Y1 @ Y2) => 755.04/96.18 (Y0 @ Y1 @ Y2))))))))) & 755.04/96.18 (((!!) @ (^[Y1 : a]: 755.04/96.18 (((!!) @ (^[Y2 : a]: 755.04/96.18 (((Y0 @ Y1 @ Y2) => 755.04/96.18 (Y0 @ Y2 @ Y1))))))))))) => 755.04/96.18 (Y0 @ '#sk2' @ '#sk3'))))))))), 755.04/96.18 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl54])). 755.04/96.18 thf(zip_derived_cl56, plain, 755.04/96.18 ((![X0 : a > a > $o, X1 : a > a > $o]: 755.04/96.18 (~ (((!!) @ (^[Y0 : a]: 755.04/96.18 ((('#sk1' @ ('#sk178' @ X0 @ X1) @ Y0) => 755.04/96.18 (((X1 @ ('#sk178' @ X0 @ X1) @ Y0) | (X0 @ 755.04/96.18 ('#sk178' @ X0 @ X1) @ Y0)))))))) 755.04/96.18 | (((X1 @ '#sk2' @ '#sk3') | (X0 @ '#sk2' @ '#sk3'))) 755.04/96.18 | ~ (((!!) @ (^[Y0 : a]: 755.04/96.18 (((!!) @ (^[Y1 : a]: 755.04/96.18 (((((X1 @ Y0 @ Y1) | (X0 @ Y0 @ Y1))) => 755.04/96.18 (((X1 @ Y1 @ Y0) | (X0 @ Y1 @ Y0))))))))))))) 755.04/96.18 <= (( (((!!) @ (^[Y0 : a > a > $o]: 755.04/96.18 (((((((!!) @ (^[Y1 : a]: 755.04/96.18 (((!!) @ (^[Y2 : a]: 755.04/96.18 ((('#sk1' @ Y1 @ Y2) => 755.04/96.18 (Y0 @ Y1 @ Y2))))))))) & 755.04/96.18 (((!!) @ (^[Y1 : a]: 755.04/96.18 (((!!) @ (^[Y2 : a]: 755.04/96.18 (((Y0 @ Y1 @ Y2) => 755.04/96.18 (Y0 @ Y2 @ Y1))))))))))) => 755.04/96.18 (Y0 @ '#sk2' @ '#sk3'))))))))), 755.04/96.18 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl55])). 755.04/96.18 thf(zip_derived_cl57, plain, 755.04/96.18 ((![X0 : a > a > $o, X1 : a > a > $o]: 755.04/96.18 (~ ((('#sk1' @ ('#sk178' @ X0 @ X1) @ ('#sk201' @ X0 @ X1)) => 755.04/96.18 (((X1 @ ('#sk178' @ X0 @ X1) @ ('#sk201' @ X0 @ X1)) | (X0 @ 755.04/96.18 ('#sk178' @ X0 @ X1) @ ('#sk201' @ X0 @ X1)))))) 755.04/96.18 | ~ (((!!) @ (^[Y0 : a]: 755.04/96.18 (((!!) @ (^[Y1 : a]: 755.04/96.18 (((((X1 @ Y0 @ Y1) | (X0 @ Y0 @ Y1))) => 755.04/96.18 (((X1 @ Y1 @ Y0) | (X0 @ Y1 @ Y0))))))))))) 755.04/96.18 | (((X1 @ '#sk2' @ '#sk3') | (X0 @ '#sk2' @ '#sk3'))))) 755.04/96.18 <= (( (((!!) @ (^[Y0 : a > a > $o]: 755.04/96.18 (((((((!!) @ (^[Y1 : a]: 755.04/96.18 (((!!) @ (^[Y2 : a]: 755.04/96.18 ((('#sk1' @ Y1 @ Y2) => 755.04/96.18 (Y0 @ Y1 @ Y2))))))))) & 755.04/96.18 (((!!) @ (^[Y1 : a]: 755.04/96.18 (((!!) @ (^[Y2 : a]: 755.04/96.18 (((Y0 @ Y1 @ Y2) => 755.04/96.18 (Y0 @ Y2 @ Y1))))))))))) => 755.04/96.18 (Y0 @ '#sk2' @ '#sk3'))))))))), 755.04/96.18 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl56])). 755.04/96.18 thf(zip_derived_cl58, plain, 755.04/96.18 ((![X0 : a > a > $o, X1 : a > a > $o]: 755.04/96.18 ( ('#sk1' @ ('#sk178' @ X0 @ X1) @ ('#sk201' @ X0 @ X1)) 755.04/96.18 | (((X1 @ '#sk2' @ '#sk3') | (X0 @ '#sk2' @ '#sk3'))) 755.04/96.18 | ~ (((!!) @ (^[Y0 : a]: 755.04/96.18 (((!!) @ (^[Y1 : a]: 755.04/96.18 (((((X1 @ Y0 @ Y1) | (X0 @ Y0 @ Y1))) => 755.04/96.18 (((X1 @ Y1 @ Y0) | (X0 @ Y1 @ Y0))))))))))))) 755.04/96.18 <= (( (((!!) @ (^[Y0 : a > a > $o]: 755.04/96.18 (((((((!!) @ (^[Y1 : a]: 755.04/96.18 (((!!) @ (^[Y2 : a]: 755.04/96.18 ((('#sk1' @ Y1 @ Y2) => 755.04/96.18 (Y0 @ Y1 @ Y2))))))))) & 755.04/96.18 (((!!) @ (^[Y1 : a]: 755.04/96.18 (((!!) @ (^[Y2 : a]: 755.04/96.18 (((Y0 @ Y1 @ Y2) => 755.04/96.18 (Y0 @ Y2 @ Y1))))))))))) => 755.04/96.18 (Y0 @ '#sk2' @ '#sk3'))))))))), 755.04/96.18 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl57])). 755.04/96.18 thf(zip_derived_cl60, plain, 755.04/96.18 ((![X0 : a > a > $o, X1 : a > a > $o]: 755.04/96.18 ( (X1 @ '#sk2' @ '#sk3') 755.04/96.18 | (X0 @ '#sk2' @ '#sk3') 755.04/96.18 | ~ (((!!) @ (^[Y0 : a]: 755.04/96.18 (((!!) @ (^[Y1 : a]: 755.04/96.18 (((((X1 @ Y0 @ Y1) | (X0 @ Y0 @ Y1))) => 755.04/96.18 (((X1 @ Y1 @ Y0) | (X0 @ Y1 @ Y0))))))))))) 755.04/96.18 | ('#sk1' @ ('#sk178' @ X0 @ X1) @ ('#sk201' @ X0 @ X1)))) 755.04/96.18 <= (( (((!!) @ (^[Y0 : a > a > $o]: 755.04/96.18 (((((((!!) @ (^[Y1 : a]: 755.04/96.18 (((!!) @ (^[Y2 : a]: 755.04/96.18 ((('#sk1' @ Y1 @ Y2) => 755.04/96.18 (Y0 @ Y1 @ Y2))))))))) & 755.04/96.18 (((!!) @ (^[Y1 : a]: 755.04/96.18 (((!!) @ (^[Y2 : a]: 755.04/96.18 (((Y0 @ Y1 @ Y2) => 755.04/96.18 (Y0 @ Y2 @ Y1))))))))))) => 755.04/96.18 (Y0 @ '#sk2' @ '#sk3'))))))))), 755.04/96.18 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl58])). 755.04/96.18 thf(zip_derived_cl63, plain, 755.04/96.18 ((![X0 : a > a > $o, X1 : a > a > $o]: 755.04/96.18 (~ (((!!) @ (^[Y0 : a]: 755.04/96.18 (((((X1 @ ('#sk290' @ X0 @ X1) @ Y0) | (X0 @ 755.04/96.18 ('#sk290' @ X0 @ X1) @ Y0))) => 755.04/96.18 (((X1 @ Y0 @ ('#sk290' @ X0 @ X1)) | (X0 @ Y0 @ 755.04/96.18 ('#sk290' @ X0 @ X1))))))))) 755.04/96.18 | ('#sk1' @ ('#sk178' @ X0 @ X1) @ ('#sk201' @ X0 @ X1)) 755.04/96.18 | (X0 @ '#sk2' @ '#sk3') 755.04/96.18 | (X1 @ '#sk2' @ '#sk3'))) 755.04/96.18 <= (( (((!!) @ (^[Y0 : a > a > $o]: 755.04/96.18 (((((((!!) @ (^[Y1 : a]: 755.04/96.18 (((!!) @ (^[Y2 : a]: 755.04/96.18 ((('#sk1' @ Y1 @ Y2) => 755.04/96.18 (Y0 @ Y1 @ Y2))))))))) & 755.04/96.18 (((!!) @ (^[Y1 : a]: 755.04/96.18 (((!!) @ (^[Y2 : a]: 755.04/96.18 (((Y0 @ Y1 @ Y2) => 755.04/96.18 (Y0 @ Y2 @ Y1))))))))))) => 755.04/96.18 (Y0 @ '#sk2' @ '#sk3'))))))))), 755.04/96.18 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl60])). 755.04/96.18 thf(zip_derived_cl66, plain, 755.04/96.18 ((![X0 : a > a > $o, X1 : a > a > $o]: 755.04/96.18 (~ (((((X1 @ ('#sk290' @ X0 @ X1) @ ('#sk351' @ X0 @ X1)) | (X0 @ 755.04/96.18 ('#sk290' @ X0 @ X1) @ ('#sk351' @ X0 @ X1)))) => 755.04/96.18 (((X1 @ ('#sk351' @ X0 @ X1) @ ('#sk290' @ X0 @ X1)) | (X0 @ 755.04/96.18 ('#sk351' @ X0 @ X1) @ ('#sk290' @ X0 @ X1)))))) 755.04/96.18 | (X1 @ '#sk2' @ '#sk3') 755.04/96.18 | (X0 @ '#sk2' @ '#sk3') 755.04/96.18 | ('#sk1' @ ('#sk178' @ X0 @ X1) @ ('#sk201' @ X0 @ X1)))) 755.04/96.18 <= (( (((!!) @ (^[Y0 : a > a > $o]: 755.04/96.18 (((((((!!) @ (^[Y1 : a]: 755.04/96.18 (((!!) @ (^[Y2 : a]: 755.04/96.18 ((('#sk1' @ Y1 @ Y2) => 755.04/96.18 (Y0 @ Y1 @ Y2))))))))) & 755.04/96.18 (((!!) @ (^[Y1 : a]: 755.04/96.18 (((!!) @ (^[Y2 : a]: 755.04/96.18 (((Y0 @ Y1 @ Y2) => 755.04/96.18 (Y0 @ Y2 @ Y1))))))))))) => 755.04/96.18 (Y0 @ '#sk2' @ '#sk3'))))))))), 755.04/96.18 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl63])). 755.04/96.18 thf(zip_derived_cl70, plain, 755.04/96.18 ((![X0 : a > a > $o, X1 : a > a > $o]: 755.04/96.18 (~ (((X1 @ ('#sk351' @ X0 @ X1) @ ('#sk290' @ X0 @ X1)) | (X0 @ 755.04/96.18 ('#sk351' @ X0 @ X1) @ ('#sk290' @ X0 @ X1)))) 755.04/96.18 | ('#sk1' @ ('#sk178' @ X0 @ X1) @ ('#sk201' @ X0 @ X1)) 755.04/96.18 | (X0 @ '#sk2' @ '#sk3') 755.04/96.18 | (X1 @ '#sk2' @ '#sk3'))) 755.04/96.18 <= (( (((!!) @ (^[Y0 : a > a > $o]: 755.04/96.18 (((((((!!) @ (^[Y1 : a]: 755.04/96.18 (((!!) @ (^[Y2 : a]: 755.04/96.18 ((('#sk1' @ Y1 @ Y2) => 755.04/96.18 (Y0 @ Y1 @ Y2))))))))) & 755.04/96.18 (((!!) @ (^[Y1 : a]: 755.04/96.18 (((!!) @ (^[Y2 : a]: 755.04/96.18 (((Y0 @ Y1 @ Y2) => 755.04/96.18 (Y0 @ Y2 @ Y1))))))))))) => 755.04/96.18 (Y0 @ '#sk2' @ '#sk3'))))))))), 755.04/96.18 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl66])). 755.04/96.18 thf(zip_derived_cl77, plain, 755.04/96.18 ((![X0 : a > a > $o, X1 : a > a > $o]: 755.04/96.18 (~ (X0 @ ('#sk351' @ X0 @ X1) @ ('#sk290' @ X0 @ X1)) 755.04/96.18 | (X1 @ '#sk2' @ '#sk3') 755.04/96.18 | (X0 @ '#sk2' @ '#sk3') 755.04/96.18 | ('#sk1' @ ('#sk178' @ X0 @ X1) @ ('#sk201' @ X0 @ X1)))) 755.04/96.18 <= (( (((!!) @ (^[Y0 : a > a > $o]: 755.04/96.18 (((((((!!) @ (^[Y1 : a]: 755.04/96.18 (((!!) @ (^[Y2 : a]: 755.04/96.18 ((('#sk1' @ Y1 @ Y2) => 755.04/96.18 (Y0 @ Y1 @ Y2))))))))) & 755.04/96.18 (((!!) @ (^[Y1 : a]: 755.04/96.18 (((!!) @ (^[Y2 : a]: 755.04/96.18 (((Y0 @ Y1 @ Y2) => 755.04/96.18 (Y0 @ Y2 @ Y1))))))))))) => 755.04/96.18 (Y0 @ '#sk2' @ '#sk3'))))))))), 755.04/96.18 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl70])). 755.04/96.18 thf(zip_derived_cl7, plain, 755.04/96.18 (( ((('#sk1' @ '#sk3' @ '#sk2') | ('#sk1' @ '#sk2' @ '#sk3')))) 755.04/96.18 <= (( ((('#sk1' @ '#sk3' @ '#sk2') | ('#sk1' @ '#sk2' @ '#sk3')))))), 755.04/96.18 inference('split', [status(esa)], [zip_derived_cl5])). 755.04/96.18 thf(zip_derived_cl9, plain, 755.04/96.18 ((( ('#sk1' @ '#sk3' @ '#sk2') | ('#sk1' @ '#sk2' @ '#sk3'))) 755.04/96.18 <= (( ((('#sk1' @ '#sk3' @ '#sk2') | ('#sk1' @ '#sk2' @ '#sk3')))))), 755.04/96.18 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl7])). 755.04/96.18 thf('0', plain, 755.04/96.18 (~ ( ((('#sk1' @ '#sk3' @ '#sk2') | ('#sk1' @ '#sk2' @ '#sk3')))) | 755.04/96.18 ( ('#sk1' @ '#sk3' @ '#sk2')) | ( ('#sk1' @ '#sk2' @ '#sk3'))), 755.04/96.18 inference('split', [status(esa)], [zip_derived_cl9])). 755.04/96.18 thf(zip_derived_cl14, plain, 755.04/96.18 (( ('#sk1' @ '#sk2' @ '#sk3')) <= (( ('#sk1' @ '#sk2' @ '#sk3')))), 755.04/96.18 inference('split', [status(esa)], [zip_derived_cl9])). 755.04/96.18 thf(zip_derived_cl4, plain, 755.04/96.18 (((((!!) @ (^[Y0 : a > a > $o]: 755.04/96.18 (((((((!!) @ (^[Y1 : a]: 755.04/96.18 (((!!) @ (^[Y2 : a]: 755.04/96.18 ((('#sk1' @ Y1 @ Y2) => (Y0 @ 755.04/96.18 Y1 @ Y2))))))))) & 755.04/96.18 (((!!) @ (^[Y1 : a]: 755.04/96.18 (((!!) @ (^[Y2 : a]: 755.04/96.18 (((Y0 @ Y1 @ Y2) => (Y0 @ Y2 @ 755.04/96.18 Y1))))))))))) => 755.04/96.18 (Y0 @ '#sk2' @ '#sk3')))))) 755.04/96.18 != ((('#sk1' @ '#sk3' @ '#sk2') | ('#sk1' @ '#sk2' @ '#sk3'))))), 755.04/96.18 inference('simplify nested equalities', [status(thm)], [zip_derived_cl3])). 755.04/96.18 thf(zip_derived_cl6, plain, 755.04/96.18 ((~ (((!!) @ (^[Y0 : a > a > $o]: 755.04/96.18 (((((((!!) @ (^[Y1 : a]: 755.04/96.18 (((!!) @ (^[Y2 : a]: 755.04/96.18 ((('#sk1' @ Y1 @ Y2) => 755.04/96.18 (Y0 @ Y1 @ Y2))))))))) & 755.04/96.18 (((!!) @ (^[Y1 : a]: 755.04/96.18 (((!!) @ (^[Y2 : a]: 755.04/96.18 (((Y0 @ Y1 @ Y2) => (Y0 @ 755.04/96.18 Y2 @ Y1))))))))))) => 755.04/96.18 (Y0 @ '#sk2' @ '#sk3')))))) 755.04/96.18 | ~ ((('#sk1' @ '#sk3' @ '#sk2') | ('#sk1' @ '#sk2' @ '#sk3'))))), 755.04/96.18 inference('eq_elim', [status(thm)], [zip_derived_cl4])). 755.04/96.18 thf(zip_derived_cl36, plain, 755.04/96.18 ((~ (((!!) @ (^[Y0 : a > a > $o]: 755.04/96.18 (((((((!!) @ (^[Y1 : a]: 755.04/96.18 (((!!) @ (^[Y2 : a]: 755.04/96.18 ((('#sk1' @ Y1 @ Y2) => 755.04/96.18 (Y0 @ Y1 @ Y2))))))))) & 755.04/96.18 (((!!) @ (^[Y1 : a]: 755.04/96.18 (((!!) @ (^[Y2 : a]: 755.04/96.18 (((Y0 @ Y1 @ Y2) => (Y0 @ 755.04/96.18 Y2 @ Y1))))))))))) => 755.04/96.18 (Y0 @ '#sk2' @ '#sk3'))))))) 755.04/96.18 <= (~ 755.04/96.18 ( (((!!) @ (^[Y0 : a > a > $o]: 755.04/96.18 (((((((!!) @ (^[Y1 : a]: 755.04/96.18 (((!!) @ (^[Y2 : a]: 755.04/96.18 ((('#sk1' @ Y1 @ Y2) => 755.04/96.18 (Y0 @ Y1 @ Y2))))))))) & 755.04/96.18 (((!!) @ (^[Y1 : a]: 755.04/96.18 (((!!) @ (^[Y2 : a]: 755.04/96.18 (((Y0 @ Y1 @ Y2) => 755.04/96.18 (Y0 @ Y2 @ Y1))))))))))) => 755.04/96.18 (Y0 @ '#sk2' @ '#sk3'))))))))), 755.04/96.18 inference('split', [status(esa)], [zip_derived_cl6])). 755.04/96.18 thf(zip_derived_cl39, plain, 755.04/96.18 ((~ (((((((!!) @ (^[Y0 : a]: 755.04/96.18 (((!!) @ (^[Y1 : a]: 755.04/96.18 ((('#sk1' @ Y0 @ Y1) => ('#sk141' @ Y0 @ 755.04/96.18 Y1))))))))) & 755.04/96.18 (((!!) @ (^[Y0 : a]: 755.04/96.18 (((!!) @ (^[Y1 : a]: 755.04/96.18 ((('#sk141' @ Y0 @ Y1) => ('#sk141' @ 755.04/96.18 Y1 @ Y0))))))))))) => 755.04/96.18 ('#sk141' @ '#sk2' @ '#sk3')))) 755.04/96.18 <= (~ 755.04/96.18 ( (((!!) @ (^[Y0 : a > a > $o]: 755.04/96.18 (((((((!!) @ (^[Y1 : a]: 755.04/96.18 (((!!) @ (^[Y2 : a]: 755.04/96.18 ((('#sk1' @ Y1 @ Y2) => 755.04/96.18 (Y0 @ Y1 @ Y2))))))))) & 755.04/96.18 (((!!) @ (^[Y1 : a]: 755.04/96.18 (((!!) @ (^[Y2 : a]: 755.04/96.18 (((Y0 @ Y1 @ Y2) => 755.04/96.18 (Y0 @ Y2 @ Y1))))))))))) => 755.04/96.18 (Y0 @ '#sk2' @ '#sk3'))))))))), 755.04/96.18 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl36])). 755.04/96.18 thf(zip_derived_cl40, plain, 755.04/96.18 (( (((((!!) @ (^[Y0 : a]: 755.04/96.18 (((!!) @ (^[Y1 : a]: 755.04/96.18 ((('#sk1' @ Y0 @ Y1) => ('#sk141' @ Y0 @ Y1))))))))) & 755.04/96.18 (((!!) @ (^[Y0 : a]: 755.04/96.18 (((!!) @ (^[Y1 : a]: 755.04/96.18 ((('#sk141' @ Y0 @ Y1) => ('#sk141' @ Y1 @ 755.04/96.18 Y0)))))))))))) 755.04/96.18 <= (~ 755.04/96.18 ( (((!!) @ (^[Y0 : a > a > $o]: 755.04/96.18 (((((((!!) @ (^[Y1 : a]: 755.04/96.18 (((!!) @ (^[Y2 : a]: 755.04/96.18 ((('#sk1' @ Y1 @ Y2) => 755.04/96.18 (Y0 @ Y1 @ Y2))))))))) & 755.04/96.18 (((!!) @ (^[Y1 : a]: 755.04/96.18 (((!!) @ (^[Y2 : a]: 755.04/96.18 (((Y0 @ Y1 @ Y2) => 755.04/96.18 (Y0 @ Y2 @ Y1))))))))))) => 755.04/96.18 (Y0 @ '#sk2' @ '#sk3'))))))))), 755.04/96.18 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl39])). 755.04/96.18 thf(zip_derived_cl42, plain, 755.04/96.18 (( (((!!) @ (^[Y0 : a]: 755.04/96.18 (((!!) @ (^[Y1 : a]: 755.04/96.18 ((('#sk1' @ Y0 @ Y1) => ('#sk141' @ Y0 @ Y1)))))))))) 755.04/96.18 <= (~ 755.04/96.18 ( (((!!) @ (^[Y0 : a > a > $o]: 755.04/96.18 (((((((!!) @ (^[Y1 : a]: 755.04/96.18 (((!!) @ (^[Y2 : a]: 755.04/96.18 ((('#sk1' @ Y1 @ Y2) => 755.04/96.18 (Y0 @ Y1 @ Y2))))))))) & 755.04/96.18 (((!!) @ (^[Y1 : a]: 755.04/96.18 (((!!) @ (^[Y2 : a]: 755.04/96.18 (((Y0 @ Y1 @ Y2) => 755.04/96.18 (Y0 @ Y2 @ Y1))))))))))) => 755.04/96.18 (Y0 @ '#sk2' @ '#sk3'))))))))), 755.04/96.18 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl40])). 755.04/96.18 thf(zip_derived_cl44, plain, 755.04/96.18 ((![X2 : a]: 755.04/96.18 (((!!) @ (^[Y0 : a]: ((('#sk1' @ X2 @ Y0) => ('#sk141' @ X2 @ Y0))))))) 755.04/96.18 <= (~ 755.04/96.18 ( (((!!) @ (^[Y0 : a > a > $o]: 755.04/96.18 (((((((!!) @ (^[Y1 : a]: 755.04/96.18 (((!!) @ (^[Y2 : a]: 755.04/96.18 ((('#sk1' @ Y1 @ Y2) => 755.04/96.18 (Y0 @ Y1 @ Y2))))))))) & 755.04/96.18 (((!!) @ (^[Y1 : a]: 755.04/96.18 (((!!) @ (^[Y2 : a]: 755.04/96.18 (((Y0 @ Y1 @ Y2) => 755.04/96.18 (Y0 @ Y2 @ Y1))))))))))) => 755.04/96.18 (Y0 @ '#sk2' @ '#sk3'))))))))), 755.04/96.18 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl42])). 755.04/96.18 thf(zip_derived_cl46, plain, 755.04/96.18 ((![X2 : a, X4 : a]: ((('#sk1' @ X2 @ X4) => ('#sk141' @ X2 @ X4)))) 755.04/96.18 <= (~ 755.04/96.18 ( (((!!) @ (^[Y0 : a > a > $o]: 755.04/96.18 (((((((!!) @ (^[Y1 : a]: 755.04/96.18 (((!!) @ (^[Y2 : a]: 755.04/96.18 ((('#sk1' @ Y1 @ Y2) => 755.04/96.18 (Y0 @ Y1 @ Y2))))))))) & 755.04/96.18 (((!!) @ (^[Y1 : a]: 755.04/96.18 (((!!) @ (^[Y2 : a]: 755.04/96.18 (((Y0 @ Y1 @ Y2) => 755.04/96.18 (Y0 @ Y2 @ Y1))))))))))) => 755.04/96.18 (Y0 @ '#sk2' @ '#sk3'))))))))), 755.04/96.18 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl44])). 755.04/96.18 thf(zip_derived_cl48, plain, 755.04/96.18 ((![X2 : a, X4 : a]: (~ ('#sk1' @ X2 @ X4) | ('#sk141' @ X2 @ X4))) 755.04/96.18 <= (~ 755.04/96.18 ( (((!!) @ (^[Y0 : a > a > $o]: 755.04/96.18 (((((((!!) @ (^[Y1 : a]: 755.04/96.18 (((!!) @ (^[Y2 : a]: 755.04/96.18 ((('#sk1' @ Y1 @ Y2) => 755.04/96.18 (Y0 @ Y1 @ Y2))))))))) & 755.04/96.18 (((!!) @ (^[Y1 : a]: 755.04/96.18 (((!!) @ (^[Y2 : a]: 755.04/96.18 (((Y0 @ Y1 @ Y2) => 755.04/96.18 (Y0 @ Y2 @ Y1))))))))))) => 755.04/96.18 (Y0 @ '#sk2' @ '#sk3'))))))))), 755.04/96.18 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl46])). 755.04/96.18 thf(zip_derived_cl366, plain, 755.04/96.18 (( ('#sk141' @ '#sk2' @ '#sk3')) 755.04/96.18 <= (~ 755.04/96.18 ( (((!!) @ (^[Y0 : a > a > $o]: 755.04/96.18 (((((((!!) @ (^[Y1 : a]: 755.04/96.18 (((!!) @ (^[Y2 : a]: 755.04/96.18 ((('#sk1' @ Y1 @ Y2) => 755.04/96.18 (Y0 @ Y1 @ Y2))))))))) & 755.04/96.18 (((!!) @ (^[Y1 : a]: 755.04/96.18 (((!!) @ (^[Y2 : a]: 755.04/96.18 (((Y0 @ Y1 @ Y2) => 755.04/96.18 (Y0 @ Y2 @ Y1))))))))))) => 755.04/96.18 (Y0 @ '#sk2' @ '#sk3'))))))) & 755.04/96.18 ( ('#sk1' @ '#sk2' @ '#sk3')))), 755.04/96.18 inference('sup-', [status(thm)], [zip_derived_cl14, zip_derived_cl48])). 755.04/96.18 thf(zip_derived_cl41, plain, 755.04/96.18 ((~ ('#sk141' @ '#sk2' @ '#sk3')) 755.04/96.18 <= (~ 755.04/96.18 ( (((!!) @ (^[Y0 : a > a > $o]: 755.04/96.18 (((((((!!) @ (^[Y1 : a]: 755.04/96.18 (((!!) @ (^[Y2 : a]: 755.04/96.18 ((('#sk1' @ Y1 @ Y2) => 755.04/96.18 (Y0 @ Y1 @ Y2))))))))) & 755.04/96.18 (((!!) @ (^[Y1 : a]: 755.04/96.18 (((!!) @ (^[Y2 : a]: 755.04/96.18 (((Y0 @ Y1 @ Y2) => 755.04/96.18 (Y0 @ Y2 @ Y1))))))))))) => 755.04/96.18 (Y0 @ '#sk2' @ '#sk3'))))))))), 755.04/96.18 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl39])). 755.04/96.18 thf('1', plain, 755.04/96.18 (~ ( ('#sk1' @ '#sk2' @ '#sk3')) | 755.04/96.18 ( (((!!) @ (^[Y0 : a > a > $o]: 755.04/96.18 (((((((!!) @ (^[Y1 : a]: 755.04/96.18 (((!!) @ (^[Y2 : a]: 755.04/96.18 ((('#sk1' @ Y1 @ Y2) => (Y0 @ 755.04/96.18 Y1 @ Y2))))))))) & 755.04/96.18 (((!!) @ (^[Y1 : a]: 755.04/96.18 (((!!) @ (^[Y2 : a]: 755.04/96.18 (((Y0 @ Y1 @ Y2) => (Y0 @ 755.04/96.18 Y2 @ Y1))))))))))) => 755.04/96.18 (Y0 @ '#sk2' @ '#sk3')))))))), 755.04/96.18 inference('sup-', [status(thm)], [zip_derived_cl366, zip_derived_cl41])). 755.04/96.18 thf(zip_derived_cl35, plain, 755.04/96.18 ((~ ((('#sk1' @ '#sk3' @ '#sk2') | ('#sk1' @ '#sk2' @ '#sk3')))) 755.04/96.18 <= (~ ( ((('#sk1' @ '#sk3' @ '#sk2') | ('#sk1' @ '#sk2' @ '#sk3')))))), 755.04/96.18 inference('split', [status(esa)], [zip_derived_cl6])). 755.04/96.18 thf(zip_derived_cl38, plain, 755.04/96.18 ((~ ('#sk1' @ '#sk2' @ '#sk3')) 755.04/96.18 <= (~ ( ((('#sk1' @ '#sk3' @ '#sk2') | ('#sk1' @ '#sk2' @ '#sk3')))))), 755.04/96.18 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl35])). 755.04/96.18 thf(zip_derived_cl14, plain, 755.04/96.18 (( ('#sk1' @ '#sk2' @ '#sk3')) <= (( ('#sk1' @ '#sk2' @ '#sk3')))), 755.04/96.18 inference('split', [status(esa)], [zip_derived_cl9])). 755.04/96.18 thf('2', plain, 755.04/96.18 (~ ( ('#sk1' @ '#sk2' @ '#sk3')) | 755.04/96.18 ( ((('#sk1' @ '#sk3' @ '#sk2') | ('#sk1' @ '#sk2' @ '#sk3'))))), 755.04/96.18 inference('sup+', [status(thm)], [zip_derived_cl38, zip_derived_cl14])). 755.04/96.18 thf('3', plain, 755.04/96.18 (~ ( ((('#sk1' @ '#sk3' @ '#sk2') | ('#sk1' @ '#sk2' @ '#sk3')))) | 755.04/96.18 ~ 755.04/96.18 ( (((!!) @ (^[Y0 : a > a > $o]: 755.04/96.18 (((((((!!) @ (^[Y1 : a]: 755.04/96.18 (((!!) @ (^[Y2 : a]: 755.04/96.18 ((('#sk1' @ Y1 @ Y2) => (Y0 @ 755.04/96.18 Y1 @ Y2))))))))) & 755.04/96.18 (((!!) @ (^[Y1 : a]: 755.04/96.18 (((!!) @ (^[Y2 : a]: 755.04/96.18 (((Y0 @ Y1 @ Y2) => (Y0 @ 755.04/96.18 Y2 @ Y1))))))))))) => 755.04/96.18 (Y0 @ '#sk2' @ '#sk3')))))))), 755.04/96.18 inference('split', [status(esa)], [zip_derived_cl6])). 755.04/96.18 thf(zip_derived_cl15, plain, 755.04/96.18 (( ('#sk1' @ '#sk3' @ '#sk2')) <= (( ('#sk1' @ '#sk3' @ '#sk2')))), 755.04/96.18 inference('split', [status(esa)], [zip_derived_cl9])). 755.04/96.18 thf(zip_derived_cl48, plain, 755.04/96.18 ((![X2 : a, X4 : a]: (~ ('#sk1' @ X2 @ X4) | ('#sk141' @ X2 @ X4))) 755.04/96.18 <= (~ 755.04/96.18 ( (((!!) @ (^[Y0 : a > a > $o]: 755.04/96.18 (((((((!!) @ (^[Y1 : a]: 755.04/96.18 (((!!) @ (^[Y2 : a]: 755.04/96.18 ((('#sk1' @ Y1 @ Y2) => 755.04/96.18 (Y0 @ Y1 @ Y2))))))))) & 755.04/96.18 (((!!) @ (^[Y1 : a]: 755.04/96.18 (((!!) @ (^[Y2 : a]: 755.04/96.18 (((Y0 @ Y1 @ Y2) => 755.04/96.18 (Y0 @ Y2 @ Y1))))))))))) => 755.04/96.18 (Y0 @ '#sk2' @ '#sk3'))))))))), 755.04/96.18 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl46])). 755.04/96.18 thf(zip_derived_cl365, plain, 755.04/96.18 (( ('#sk141' @ '#sk3' @ '#sk2')) 755.04/96.18 <= (~ 755.04/96.18 ( (((!!) @ (^[Y0 : a > a > $o]: 755.04/96.18 (((((((!!) @ (^[Y1 : a]: 755.04/96.18 (((!!) @ (^[Y2 : a]: 755.04/96.18 ((('#sk1' @ Y1 @ Y2) => 755.04/96.18 (Y0 @ Y1 @ Y2))))))))) & 755.04/96.18 (((!!) @ (^[Y1 : a]: 755.04/96.18 (((!!) @ (^[Y2 : a]: 755.04/96.18 (((Y0 @ Y1 @ Y2) => 755.04/96.18 (Y0 @ Y2 @ Y1))))))))))) => 755.04/96.18 (Y0 @ '#sk2' @ '#sk3'))))))) & 755.04/96.18 ( ('#sk1' @ '#sk3' @ '#sk2')))), 755.04/96.18 inference('sup-', [status(thm)], [zip_derived_cl15, zip_derived_cl48])). 755.04/96.18 thf(zip_derived_cl43, plain, 755.04/96.18 (( (((!!) @ (^[Y0 : a]: 755.04/96.18 (((!!) @ (^[Y1 : a]: 755.04/96.18 ((('#sk141' @ Y0 @ Y1) => ('#sk141' @ Y1 @ Y0)))))))))) 755.04/96.18 <= (~ 755.04/96.18 ( (((!!) @ (^[Y0 : a > a > $o]: 755.04/96.18 (((((((!!) @ (^[Y1 : a]: 755.04/96.18 (((!!) @ (^[Y2 : a]: 755.04/96.18 ((('#sk1' @ Y1 @ Y2) => 755.04/96.18 (Y0 @ Y1 @ Y2))))))))) & 755.04/96.18 (((!!) @ (^[Y1 : a]: 755.04/96.18 (((!!) @ (^[Y2 : a]: 755.04/96.18 (((Y0 @ Y1 @ Y2) => 755.04/96.18 (Y0 @ Y2 @ Y1))))))))))) => 755.04/96.18 (Y0 @ '#sk2' @ '#sk3'))))))))), 755.04/96.18 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl40])). 755.04/96.18 thf(zip_derived_cl45, plain, 755.04/96.18 ((![X2 : a]: 755.04/96.18 (((!!) @ (^[Y0 : a]: 755.04/96.18 ((('#sk141' @ X2 @ Y0) => ('#sk141' @ Y0 @ X2))))))) 755.04/96.18 <= (~ 755.04/96.18 ( (((!!) @ (^[Y0 : a > a > $o]: 755.04/96.18 (((((((!!) @ (^[Y1 : a]: 755.04/96.18 (((!!) @ (^[Y2 : a]: 755.04/96.18 ((('#sk1' @ Y1 @ Y2) => 755.04/96.18 (Y0 @ Y1 @ Y2))))))))) & 755.04/96.18 (((!!) @ (^[Y1 : a]: 755.04/96.18 (((!!) @ (^[Y2 : a]: 755.04/96.18 (((Y0 @ Y1 @ Y2) => 755.04/96.18 (Y0 @ Y2 @ Y1))))))))))) => 755.04/96.18 (Y0 @ '#sk2' @ '#sk3'))))))))), 755.04/96.18 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl43])). 755.04/96.18 thf(zip_derived_cl47, plain, 755.04/96.18 ((![X2 : a, X4 : a]: ((('#sk141' @ X2 @ X4) => ('#sk141' @ X4 @ X2)))) 755.04/96.18 <= (~ 755.04/96.18 ( (((!!) @ (^[Y0 : a > a > $o]: 755.04/96.18 (((((((!!) @ (^[Y1 : a]: 755.04/96.18 (((!!) @ (^[Y2 : a]: 755.04/96.18 ((('#sk1' @ Y1 @ Y2) => 755.04/96.18 (Y0 @ Y1 @ Y2))))))))) & 755.04/96.18 (((!!) @ (^[Y1 : a]: 755.04/96.18 (((!!) @ (^[Y2 : a]: 755.04/96.18 (((Y0 @ Y1 @ Y2) => 755.04/96.18 (Y0 @ Y2 @ Y1))))))))))) => 755.04/96.18 (Y0 @ '#sk2' @ '#sk3'))))))))), 755.04/96.18 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl45])). 755.04/96.18 thf(zip_derived_cl49, plain, 755.04/96.18 ((![X2 : a, X4 : a]: (~ ('#sk141' @ X2 @ X4) | ('#sk141' @ X4 @ X2))) 755.04/96.18 <= (~ 755.04/96.18 ( (((!!) @ (^[Y0 : a > a > $o]: 755.04/96.18 (((((((!!) @ (^[Y1 : a]: 755.04/96.18 (((!!) @ (^[Y2 : a]: 755.04/96.18 ((('#sk1' @ Y1 @ Y2) => 755.04/96.18 (Y0 @ Y1 @ Y2))))))))) & 755.04/96.18 (((!!) @ (^[Y1 : a]: 755.04/96.18 (((!!) @ (^[Y2 : a]: 755.04/96.18 (((Y0 @ Y1 @ Y2) => 755.04/96.18 (Y0 @ Y2 @ Y1))))))))))) => 755.04/96.18 (Y0 @ '#sk2' @ '#sk3'))))))))), 755.04/96.18 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl47])). 755.04/96.18 thf(zip_derived_cl418, plain, 755.04/96.18 (( ('#sk141' @ '#sk2' @ '#sk3')) 755.04/96.18 <= (~ 755.04/96.18 ( (((!!) @ (^[Y0 : a > a > $o]: 755.04/96.18 (((((((!!) @ (^[Y1 : a]: 755.04/96.18 (((!!) @ (^[Y2 : a]: 755.04/96.18 ((('#sk1' @ Y1 @ Y2) => 755.04/96.18 (Y0 @ Y1 @ Y2))))))))) & 755.04/96.18 (((!!) @ (^[Y1 : a]: 755.04/96.18 (((!!) @ (^[Y2 : a]: 755.04/96.18 (((Y0 @ Y1 @ Y2) => 755.04/96.18 (Y0 @ Y2 @ Y1))))))))))) => 755.04/96.18 (Y0 @ '#sk2' @ '#sk3'))))))) & 755.04/96.18 ( ('#sk1' @ '#sk3' @ '#sk2')))), 755.04/96.18 inference('sup-', [status(thm)], [zip_derived_cl365, zip_derived_cl49])). 755.04/96.18 thf(zip_derived_cl41, plain, 755.04/96.18 ((~ ('#sk141' @ '#sk2' @ '#sk3')) 755.04/96.18 <= (~ 755.04/96.18 ( (((!!) @ (^[Y0 : a > a > $o]: 755.04/96.18 (((((((!!) @ (^[Y1 : a]: 755.04/96.18 (((!!) @ (^[Y2 : a]: 755.04/96.18 ((('#sk1' @ Y1 @ Y2) => 755.04/96.18 (Y0 @ Y1 @ Y2))))))))) & 755.04/96.18 (((!!) @ (^[Y1 : a]: 755.04/96.18 (((!!) @ (^[Y2 : a]: 755.04/96.18 (((Y0 @ Y1 @ Y2) => 755.04/96.18 (Y0 @ Y2 @ Y1))))))))))) => 755.04/96.18 (Y0 @ '#sk2' @ '#sk3'))))))))), 755.04/96.18 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl39])). 755.04/96.18 thf('4', plain, 755.04/96.18 (~ ( ('#sk1' @ '#sk3' @ '#sk2')) | 755.04/96.18 ( (((!!) @ (^[Y0 : a > a > $o]: 755.04/96.18 (((((((!!) @ (^[Y1 : a]: 755.04/96.18 (((!!) @ (^[Y2 : a]: 755.04/96.18 ((('#sk1' @ Y1 @ Y2) => (Y0 @ 755.04/96.18 Y1 @ Y2))))))))) & 755.04/96.18 (((!!) @ (^[Y1 : a]: 755.04/96.18 (((!!) @ (^[Y2 : a]: 755.04/96.18 (((Y0 @ Y1 @ Y2) => (Y0 @ 755.04/96.18 Y2 @ Y1))))))))))) => 755.04/96.18 (Y0 @ '#sk2' @ '#sk3')))))))), 755.04/96.18 inference('sup-', [status(thm)], [zip_derived_cl418, zip_derived_cl41])). 755.04/96.18 thf('5', plain, 755.04/96.18 (( (((!!) @ (^[Y0 : a > a > $o]: 755.04/96.18 (((((((!!) @ (^[Y1 : a]: 755.04/96.18 (((!!) @ (^[Y2 : a]: 755.04/96.18 ((('#sk1' @ Y1 @ Y2) => (Y0 @ 755.04/96.18 Y1 @ Y2))))))))) & 755.04/96.18 (((!!) @ (^[Y1 : a]: 755.04/96.18 (((!!) @ (^[Y2 : a]: 755.04/96.18 (((Y0 @ Y1 @ Y2) => (Y0 @ 755.04/96.18 Y2 @ Y1))))))))))) => 755.04/96.18 (Y0 @ '#sk2' @ '#sk3'))))))) | 755.04/96.18 ( ((('#sk1' @ '#sk3' @ '#sk2') | ('#sk1' @ '#sk2' @ '#sk3'))))), 755.04/96.18 inference('split', [status(esa)], [zip_derived_cl5])). 755.04/96.18 thf('6', plain, 755.04/96.18 (( (((!!) @ (^[Y0 : a > a > $o]: 755.04/96.18 (((((((!!) @ (^[Y1 : a]: 755.04/96.18 (((!!) @ (^[Y2 : a]: 755.04/96.18 ((('#sk1' @ Y1 @ Y2) => (Y0 @ 755.04/96.18 Y1 @ Y2))))))))) & 755.04/96.18 (((!!) @ (^[Y1 : a]: 755.04/96.18 (((!!) @ (^[Y2 : a]: 755.04/96.18 (((Y0 @ Y1 @ Y2) => (Y0 @ 755.04/96.18 Y2 @ Y1))))))))))) => 755.04/96.18 (Y0 @ '#sk2' @ '#sk3')))))))), 755.04/96.18 inference('sat_resolution*', [status(thm)], 755.04/96.18 ['0', '1', '2', '3', '4', '5'])). 755.04/96.18 thf(zip_derived_cl1027, plain, 755.04/96.18 (![X0 : a > a > $o, X1 : a > a > $o]: 755.04/96.18 (~ (X0 @ ('#sk351' @ X0 @ X1) @ ('#sk290' @ X0 @ X1)) 755.04/96.18 | (X1 @ '#sk2' @ '#sk3') 755.04/96.18 | (X0 @ '#sk2' @ '#sk3') 755.04/96.18 | ('#sk1' @ ('#sk178' @ X0 @ X1) @ ('#sk201' @ X0 @ X1)))), 755.04/96.18 inference('simpl_trail', [status(thm)], [zip_derived_cl77, '6'])). 755.04/96.18 thf(zip_derived_cl76, plain, 755.04/96.18 ((![X0 : a > a > $o, X1 : a > a > $o]: 755.04/96.18 (~ (X1 @ ('#sk351' @ X0 @ X1) @ ('#sk290' @ X0 @ X1)) 755.04/96.18 | (X1 @ '#sk2' @ '#sk3') 755.04/96.18 | (X0 @ '#sk2' @ '#sk3') 755.04/96.18 | ('#sk1' @ ('#sk178' @ X0 @ X1) @ ('#sk201' @ X0 @ X1)))) 755.04/96.18 <= (( (((!!) @ (^[Y0 : a > a > $o]: 755.04/96.18 (((((((!!) @ (^[Y1 : a]: 755.04/96.18 (((!!) @ (^[Y2 : a]: 755.04/96.18 ((('#sk1' @ Y1 @ Y2) => 755.04/96.18 (Y0 @ Y1 @ Y2))))))))) & 755.04/96.18 (((!!) @ (^[Y1 : a]: 755.04/96.18 (((!!) @ (^[Y2 : a]: 755.04/96.18 (((Y0 @ Y1 @ Y2) => 755.04/96.18 (Y0 @ Y2 @ Y1))))))))))) => 755.04/96.18 (Y0 @ '#sk2' @ '#sk3'))))))))), 755.04/96.18 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl70])). 755.04/96.18 thf('7', plain, 755.04/96.18 (( (((!!) @ (^[Y0 : a > a > $o]: 755.04/96.18 (((((((!!) @ (^[Y1 : a]: 755.04/96.18 (((!!) @ (^[Y2 : a]: 755.04/96.18 ((('#sk1' @ Y1 @ Y2) => (Y0 @ 755.04/96.18 Y1 @ Y2))))))))) & 755.04/96.18 (((!!) @ (^[Y1 : a]: 755.04/96.18 (((!!) @ (^[Y2 : a]: 755.04/96.18 (((Y0 @ Y1 @ Y2) => (Y0 @ 755.04/96.18 Y2 @ Y1))))))))))) => 755.04/96.18 (Y0 @ '#sk2' @ '#sk3')))))))), 755.04/96.18 inference('sat_resolution*', [status(thm)], 755.04/96.18 ['0', '1', '2', '3', '4', '5'])). 755.04/96.18 thf(zip_derived_cl938, plain, 755.04/96.18 (![X0 : a > a > $o, X1 : a > a > $o]: 755.04/96.18 (~ (X1 @ ('#sk351' @ X0 @ X1) @ ('#sk290' @ X0 @ X1)) 755.04/96.18 | (X1 @ '#sk2' @ '#sk3') 755.04/96.18 | (X0 @ '#sk2' @ '#sk3') 755.04/96.18 | ('#sk1' @ ('#sk178' @ X0 @ X1) @ ('#sk201' @ X0 @ X1)))), 755.04/96.18 inference('simpl_trail', [status(thm)], [zip_derived_cl76, '7'])). 755.04/96.18 thf(zip_derived_cl59, plain, 755.04/96.18 ((![X0 : a > a > $o, X1 : a > a > $o]: 755.04/96.18 (~ (((X1 @ ('#sk178' @ X0 @ X1) @ ('#sk201' @ X0 @ X1)) | (X0 @ 755.04/96.18 ('#sk178' @ X0 @ X1) @ ('#sk201' @ X0 @ X1)))) 755.04/96.18 | (((X1 @ '#sk2' @ '#sk3') | (X0 @ '#sk2' @ '#sk3'))) 755.04/96.18 | ~ (((!!) @ (^[Y0 : a]: 755.04/96.18 (((!!) @ (^[Y1 : a]: 755.04/96.18 (((((X1 @ Y0 @ Y1) | (X0 @ Y0 @ Y1))) => 755.04/96.18 (((X1 @ Y1 @ Y0) | (X0 @ Y1 @ Y0))))))))))))) 755.04/96.18 <= (( (((!!) @ (^[Y0 : a > a > $o]: 755.04/96.18 (((((((!!) @ (^[Y1 : a]: 755.04/96.18 (((!!) @ (^[Y2 : a]: 755.04/96.18 ((('#sk1' @ Y1 @ Y2) => 755.04/96.18 (Y0 @ Y1 @ Y2))))))))) & 755.04/96.18 (((!!) @ (^[Y1 : a]: 755.04/96.18 (((!!) @ (^[Y2 : a]: 755.04/96.18 (((Y0 @ Y1 @ Y2) => 755.04/96.18 (Y0 @ Y2 @ Y1))))))))))) => 755.04/96.18 (Y0 @ '#sk2' @ '#sk3'))))))))), 755.04/96.18 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl57])). 755.04/96.18 thf(zip_derived_cl61, plain, 755.04/96.18 ((![X0 : a > a > $o, X1 : a > a > $o]: 755.04/96.18 (~ (X1 @ ('#sk178' @ X0 @ X1) @ ('#sk201' @ X0 @ X1)) 755.04/96.18 | ~ (((!!) @ (^[Y0 : a]: 755.04/96.18 (((!!) @ (^[Y1 : a]: 755.04/96.18 (((((X1 @ Y0 @ Y1) | (X0 @ Y0 @ Y1))) => 755.04/96.18 (((X1 @ Y1 @ Y0) | (X0 @ Y1 @ Y0))))))))))) 755.04/96.18 | (((X1 @ '#sk2' @ '#sk3') | (X0 @ '#sk2' @ '#sk3'))))) 755.04/96.18 <= (( (((!!) @ (^[Y0 : a > a > $o]: 755.04/96.18 (((((((!!) @ (^[Y1 : a]: 755.04/96.18 (((!!) @ (^[Y2 : a]: 755.04/96.18 ((('#sk1' @ Y1 @ Y2) => 755.04/96.18 (Y0 @ Y1 @ Y2))))))))) & 755.04/96.18 (((!!) @ (^[Y1 : a]: 755.04/96.18 (((!!) @ (^[Y2 : a]: 755.04/96.18 (((Y0 @ Y1 @ Y2) => 755.04/96.18 (Y0 @ Y2 @ Y1))))))))))) => 755.04/96.18 (Y0 @ '#sk2' @ '#sk3'))))))))), 755.04/96.18 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl59])). 755.04/96.18 thf(zip_derived_cl64, plain, 755.04/96.18 ((![X0 : a > a > $o, X1 : a > a > $o]: 755.04/96.18 (~ (((!!) @ (^[Y0 : a]: 755.04/96.18 (((((X1 @ ('#sk290' @ X0 @ X1) @ Y0) | (X0 @ 755.04/96.18 ('#sk290' @ X0 @ X1) @ Y0))) => 755.04/96.18 (((X1 @ Y0 @ ('#sk290' @ X0 @ X1)) | (X0 @ Y0 @ 755.04/96.18 ('#sk290' @ X0 @ X1))))))))) 755.04/96.18 | (((X1 @ '#sk2' @ '#sk3') | (X0 @ '#sk2' @ '#sk3'))) 755.04/96.18 | ~ (X1 @ ('#sk178' @ X0 @ X1) @ ('#sk201' @ X0 @ X1)))) 755.04/96.18 <= (( (((!!) @ (^[Y0 : a > a > $o]: 755.04/96.18 (((((((!!) @ (^[Y1 : a]: 755.04/96.18 (((!!) @ (^[Y2 : a]: 755.04/96.18 ((('#sk1' @ Y1 @ Y2) => 755.04/96.18 (Y0 @ Y1 @ Y2))))))))) & 755.04/96.18 (((!!) @ (^[Y1 : a]: 755.04/96.18 (((!!) @ (^[Y2 : a]: 755.04/96.18 (((Y0 @ Y1 @ Y2) => 755.04/96.18 (Y0 @ Y2 @ Y1))))))))))) => 755.04/96.18 (Y0 @ '#sk2' @ '#sk3'))))))))), 755.04/96.18 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl61])). 755.04/96.18 thf(zip_derived_cl67, plain, 755.04/96.18 ((![X0 : a > a > $o, X1 : a > a > $o]: 755.04/96.18 (~ (((((X1 @ ('#sk290' @ X0 @ X1) @ ('#sk351' @ X0 @ X1)) | (X0 @ 755.04/96.18 ('#sk290' @ X0 @ X1) @ ('#sk351' @ X0 @ X1)))) => 755.04/96.18 (((X1 @ ('#sk351' @ X0 @ X1) @ ('#sk290' @ X0 @ X1)) | (X0 @ 755.04/96.18 ('#sk351' @ X0 @ X1) @ ('#sk290' @ X0 @ X1)))))) 755.04/96.18 | ~ (X1 @ ('#sk178' @ X0 @ X1) @ ('#sk201' @ X0 @ X1)) 755.04/96.18 | (((X1 @ '#sk2' @ '#sk3') | (X0 @ '#sk2' @ '#sk3'))))) 755.04/96.18 <= (( (((!!) @ (^[Y0 : a > a > $o]: 755.04/96.18 (((((((!!) @ (^[Y1 : a]: 755.04/96.18 (((!!) @ (^[Y2 : a]: 755.04/96.18 ((('#sk1' @ Y1 @ Y2) => 755.04/96.18 (Y0 @ Y1 @ Y2))))))))) & 755.04/96.18 (((!!) @ (^[Y1 : a]: 755.04/96.18 (((!!) @ (^[Y2 : a]: 755.04/96.18 (((Y0 @ Y1 @ Y2) => 755.04/96.18 (Y0 @ Y2 @ Y1))))))))))) => 755.04/96.18 (Y0 @ '#sk2' @ '#sk3'))))))))), 755.04/96.18 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl64])). 755.04/96.18 thf(zip_derived_cl72, plain, 755.04/96.18 ((![X0 : a > a > $o, X1 : a > a > $o]: 755.04/96.18 (~ (((X1 @ ('#sk351' @ X0 @ X1) @ ('#sk290' @ X0 @ X1)) | (X0 @ 755.04/96.18 ('#sk351' @ X0 @ X1) @ ('#sk290' @ X0 @ X1)))) 755.04/96.18 | (((X1 @ '#sk2' @ '#sk3') | (X0 @ '#sk2' @ '#sk3'))) 755.04/96.18 | ~ (X1 @ ('#sk178' @ X0 @ X1) @ ('#sk201' @ X0 @ X1)))) 755.04/96.18 <= (( (((!!) @ (^[Y0 : a > a > $o]: 755.04/96.18 (((((((!!) @ (^[Y1 : a]: 755.04/96.18 (((!!) @ (^[Y2 : a]: 755.04/96.18 ((('#sk1' @ Y1 @ Y2) => 755.04/96.18 (Y0 @ Y1 @ Y2))))))))) & 755.04/96.18 (((!!) @ (^[Y1 : a]: 755.04/96.18 (((!!) @ (^[Y2 : a]: 755.04/96.18 (((Y0 @ Y1 @ Y2) => 755.04/96.18 (Y0 @ Y2 @ Y1))))))))))) => 755.04/96.18 (Y0 @ '#sk2' @ '#sk3'))))))))), 755.04/96.18 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl67])). 755.04/96.18 thf(zip_derived_cl79, plain, 755.04/96.18 ((![X0 : a > a > $o, X1 : a > a > $o]: 755.04/96.18 (~ (X1 @ ('#sk351' @ X0 @ X1) @ ('#sk290' @ X0 @ X1)) 755.04/96.18 | ~ (X1 @ ('#sk178' @ X0 @ X1) @ ('#sk201' @ X0 @ X1)) 755.04/96.18 | (((X1 @ '#sk2' @ '#sk3') | (X0 @ '#sk2' @ '#sk3'))))) 755.04/96.18 <= (( (((!!) @ (^[Y0 : a > a > $o]: 755.04/96.18 (((((((!!) @ (^[Y1 : a]: 755.04/96.18 (((!!) @ (^[Y2 : a]: 755.04/96.18 ((('#sk1' @ Y1 @ Y2) => 755.04/96.18 (Y0 @ Y1 @ Y2))))))))) & 755.04/96.18 (((!!) @ (^[Y1 : a]: 755.04/96.18 (((!!) @ (^[Y2 : a]: 755.04/96.18 (((Y0 @ Y1 @ Y2) => 755.04/96.18 (Y0 @ Y2 @ Y1))))))))))) => 755.04/96.18 (Y0 @ '#sk2' @ '#sk3'))))))))), 755.04/96.18 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl72])). 755.04/96.18 thf(zip_derived_cl85, plain, 755.04/96.18 ((![X0 : a > a > $o, X1 : a > a > $o]: 755.04/96.18 ( (X1 @ '#sk2' @ '#sk3') 755.04/96.18 | (X0 @ '#sk2' @ '#sk3') 755.04/96.18 | ~ (X1 @ ('#sk178' @ X0 @ X1) @ ('#sk201' @ X0 @ X1)) 755.04/96.18 | ~ (X1 @ ('#sk351' @ X0 @ X1) @ ('#sk290' @ X0 @ X1)))) 755.04/96.18 <= (( (((!!) @ (^[Y0 : a > a > $o]: 755.04/96.18 (((((((!!) @ (^[Y1 : a]: 755.04/96.18 (((!!) @ (^[Y2 : a]: 755.04/96.18 ((('#sk1' @ Y1 @ Y2) => 755.04/96.18 (Y0 @ Y1 @ Y2))))))))) & 755.04/96.18 (((!!) @ (^[Y1 : a]: 755.04/96.18 (((!!) @ (^[Y2 : a]: 755.04/96.18 (((Y0 @ Y1 @ Y2) => 755.04/96.18 (Y0 @ Y2 @ Y1))))))))))) => 755.04/96.18 (Y0 @ '#sk2' @ '#sk3'))))))))), 755.04/96.18 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl79])). 755.04/96.18 thf('8', plain, 755.04/96.18 (( (((!!) @ (^[Y0 : a > a > $o]: 755.04/96.18 (((((((!!) @ (^[Y1 : a]: 755.04/96.18 (((!!) @ (^[Y2 : a]: 755.04/96.18 ((('#sk1' @ Y1 @ Y2) => (Y0 @ 755.04/96.18 Y1 @ Y2))))))))) & 755.04/96.18 (((!!) @ (^[Y1 : a]: 755.04/96.18 (((!!) @ (^[Y2 : a]: 755.04/96.18 (((Y0 @ Y1 @ Y2) => (Y0 @ 755.04/96.18 Y2 @ Y1))))))))))) => 755.04/96.18 (Y0 @ '#sk2' @ '#sk3')))))))), 755.04/96.18 inference('sat_resolution*', [status(thm)], 755.04/96.18 ['0', '1', '2', '3', '4', '5'])). 755.04/96.18 thf(zip_derived_cl1875, plain, 755.04/96.18 (![X0 : a > a > $o, X1 : a > a > $o]: 755.04/96.18 ( (X1 @ '#sk2' @ '#sk3') 755.04/96.18 | (X0 @ '#sk2' @ '#sk3') 755.04/96.18 | ~ (X1 @ ('#sk178' @ X0 @ X1) @ ('#sk201' @ X0 @ X1)) 755.04/96.18 | ~ (X1 @ ('#sk351' @ X0 @ X1) @ ('#sk290' @ X0 @ X1)))), 755.04/96.18 inference('simpl_trail', [status(thm)], [zip_derived_cl85, '8'])). 755.04/96.18 thf(zip_derived_cl2004, plain, 755.04/96.18 (![X0 : a > a > $o]: 755.04/96.18 ( (X0 @ '#sk2' @ '#sk3') 755.04/96.18 | ('#sk1' @ '#sk2' @ '#sk3') 755.04/96.18 | ~ ('#sk1' @ ('#sk351' @ X0 @ '#sk1') @ ('#sk290' @ X0 @ '#sk1')) 755.04/96.18 | ~ ('#sk1' @ ('#sk351' @ X0 @ '#sk1') @ ('#sk290' @ X0 @ '#sk1')) 755.04/96.18 | (X0 @ '#sk2' @ '#sk3') 755.04/96.18 | ('#sk1' @ '#sk2' @ '#sk3'))), 755.04/96.18 inference('sup-', [status(thm)], [zip_derived_cl938, zip_derived_cl1875])). 755.04/96.18 thf(zip_derived_cl4, plain, 755.04/96.18 (((((!!) @ (^[Y0 : a > a > $o]: 755.04/96.18 (((((((!!) @ (^[Y1 : a]: 755.04/96.18 (((!!) @ (^[Y2 : a]: 755.04/96.18 ((('#sk1' @ Y1 @ Y2) => (Y0 @ 755.04/96.18 Y1 @ Y2))))))))) & 755.04/96.18 (((!!) @ (^[Y1 : a]: 755.04/96.18 (((!!) @ (^[Y2 : a]: 755.04/96.18 (((Y0 @ Y1 @ Y2) => (Y0 @ Y2 @ 755.04/96.18 Y1))))))))))) => 755.04/96.18 (Y0 @ '#sk2' @ '#sk3')))))) 755.04/96.18 != ((('#sk1' @ '#sk3' @ '#sk2') | ('#sk1' @ '#sk2' @ '#sk3'))))), 755.04/96.18 inference('simplify nested equalities', [status(thm)], [zip_derived_cl3])). 755.04/96.18 thf(zip_derived_cl37, plain, 755.04/96.18 ((~ ('#sk1' @ '#sk3' @ '#sk2')) 755.04/96.18 <= (~ ( ((('#sk1' @ '#sk3' @ '#sk2') | ('#sk1' @ '#sk2' @ '#sk3')))))), 755.04/96.18 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl35])). 755.04/96.18 thf('9', plain, 755.04/96.18 (~ ( ((('#sk1' @ '#sk3' @ '#sk2') | ('#sk1' @ '#sk2' @ '#sk3'))))), 755.04/96.18 inference('sat_resolution*', [status(thm)], ['0', '1', '2', '3', '4'])). 755.04/96.18 thf(zip_derived_cl925, plain, (~ ('#sk1' @ '#sk3' @ '#sk2')), 755.04/96.18 inference('simpl_trail', [status(thm)], [zip_derived_cl37, '9'])). 755.04/96.18 thf(zip_derived_cl995, plain, 755.04/96.18 (((((!!) @ (^[Y0 : a > a > $o]: 755.04/96.18 (((((((!!) @ (^[Y1 : a]: 755.04/96.18 (((!!) @ (^[Y2 : a]: 755.04/96.18 ((('#sk1' @ Y1 @ Y2) => (Y0 @ 755.04/96.18 Y1 @ Y2))))))))) & 755.04/96.18 (((!!) @ (^[Y1 : a]: 755.04/96.18 (((!!) @ (^[Y2 : a]: 755.04/96.18 (((Y0 @ Y1 @ Y2) => (Y0 @ Y2 @ 755.04/96.18 Y1))))))))))) => 755.04/96.18 (Y0 @ '#sk2' @ '#sk3')))))) 755.04/96.18 != ((($false) | ('#sk1' @ '#sk2' @ '#sk3'))))), 755.04/96.18 inference('demod', [status(thm)], [zip_derived_cl4, zip_derived_cl925])). 755.04/96.18 thf(zip_derived_cl996, plain, 755.04/96.18 (((((!!) @ (^[Y0 : a > a > $o]: 755.04/96.18 (((((((!!) @ (^[Y1 : a]: 755.04/96.18 (((!!) @ (^[Y2 : a]: 755.04/96.18 ((('#sk1' @ Y1 @ Y2) => (Y0 @ 755.04/96.18 Y1 @ Y2))))))))) & 755.04/96.18 (((!!) @ (^[Y1 : a]: 755.04/96.18 (((!!) @ (^[Y2 : a]: 755.04/96.18 (((Y0 @ Y1 @ Y2) => (Y0 @ Y2 @ 755.04/96.18 Y1))))))))))) => 755.04/96.18 (Y0 @ '#sk2' @ '#sk3')))))) 755.04/96.18 != ('#sk1' @ '#sk2' @ '#sk3'))), 755.04/96.18 inference('simplify boolean subterms', [status(thm)], [zip_derived_cl995])). 755.04/96.18 thf(zip_derived_cl998, plain, 755.04/96.18 ((~ (((!!) @ (^[Y0 : a > a > $o]: 755.04/96.18 (((((((!!) @ (^[Y1 : a]: 755.04/96.18 (((!!) @ (^[Y2 : a]: 755.04/96.18 ((('#sk1' @ Y1 @ Y2) => 755.04/96.18 (Y0 @ Y1 @ Y2))))))))) & 755.04/96.18 (((!!) @ (^[Y1 : a]: 755.04/96.18 (((!!) @ (^[Y2 : a]: 755.04/96.18 (((Y0 @ Y1 @ Y2) => (Y0 @ 755.04/96.18 Y2 @ Y1))))))))))) => 755.04/96.18 (Y0 @ '#sk2' @ '#sk3')))))) 755.04/96.18 | ~ ('#sk1' @ '#sk2' @ '#sk3'))), 755.04/96.18 inference('eq_elim', [status(thm)], [zip_derived_cl996])). 755.04/96.18 thf(zip_derived_cl1002, plain, 755.04/96.18 ((~ ('#sk1' @ '#sk2' @ '#sk3')) <= (~ ( ('#sk1' @ '#sk2' @ '#sk3')))), 755.04/96.18 inference('split', [status(esa)], [zip_derived_cl998])). 755.04/96.18 thf('10', plain, (~ ( ('#sk1' @ '#sk2' @ '#sk3'))), 755.04/96.18 inference('sat_resolution*', [status(thm)], ['1', '2', '3'])). 755.04/96.18 thf(zip_derived_cl1004, plain, (~ ('#sk1' @ '#sk2' @ '#sk3')), 755.04/96.18 inference('simpl_trail', [status(thm)], [zip_derived_cl1002, '10'])). 755.04/96.18 thf(zip_derived_cl1004, plain, (~ ('#sk1' @ '#sk2' @ '#sk3')), 755.04/96.18 inference('simpl_trail', [status(thm)], [zip_derived_cl1002, '10'])). 755.04/96.18 thf(zip_derived_cl2219, plain, 755.04/96.18 (![X0 : a > a > $o]: 755.04/96.18 ( (X0 @ '#sk2' @ '#sk3') 755.04/96.18 | ~ ('#sk1' @ ('#sk351' @ X0 @ '#sk1') @ ('#sk290' @ X0 @ '#sk1')) 755.04/96.18 | ~ ('#sk1' @ ('#sk351' @ X0 @ '#sk1') @ ('#sk290' @ X0 @ '#sk1')) 755.04/96.18 | (X0 @ '#sk2' @ '#sk3'))), 755.04/96.18 inference('demod', [status(thm)], 755.04/96.18 [zip_derived_cl2004, zip_derived_cl1004, zip_derived_cl1004])). 755.04/96.18 thf(zip_derived_cl2220, plain, 755.04/96.18 (![X0 : a > a > $o]: 755.04/96.18 (~ ('#sk1' @ ('#sk351' @ X0 @ '#sk1') @ ('#sk290' @ X0 @ '#sk1')) 755.04/96.18 | (X0 @ '#sk2' @ '#sk3'))), 755.04/96.18 inference('simplify', [status(thm)], [zip_derived_cl2219])). 755.04/96.18 thf(zip_derived_cl996, plain, 755.04/96.18 (((((!!) @ (^[Y0 : a > a > $o]: 755.04/96.18 (((((((!!) @ (^[Y1 : a]: 755.04/96.18 (((!!) @ (^[Y2 : a]: 755.04/96.18 ((('#sk1' @ Y1 @ Y2) => (Y0 @ 755.04/96.18 Y1 @ Y2))))))))) & 755.04/96.18 (((!!) @ (^[Y1 : a]: 755.04/96.18 (((!!) @ (^[Y2 : a]: 755.04/96.18 (((Y0 @ Y1 @ Y2) => (Y0 @ Y2 @ 755.04/96.18 Y1))))))))))) => 755.04/96.18 (Y0 @ '#sk2' @ '#sk3')))))) 755.04/96.18 != ('#sk1' @ '#sk2' @ '#sk3'))), 755.04/96.18 inference('simplify boolean subterms', [status(thm)], [zip_derived_cl995])). 755.04/96.18 thf(zip_derived_cl1004, plain, (~ ('#sk1' @ '#sk2' @ '#sk3')), 755.04/96.18 inference('simpl_trail', [status(thm)], [zip_derived_cl1002, '10'])). 755.04/96.18 thf(zip_derived_cl1016, plain, 755.04/96.18 ( (((!!) @ (^[Y0 : a > a > $o]: 755.04/96.18 (((((((!!) @ (^[Y1 : a]: 755.04/96.18 (((!!) @ (^[Y2 : a]: 755.04/96.18 ((('#sk1' @ Y1 @ Y2) => (Y0 @ 755.04/96.18 Y1 @ Y2))))))))) & 755.04/96.18 (((!!) @ (^[Y1 : a]: 755.04/96.18 (((!!) @ (^[Y2 : a]: 755.04/96.18 (((Y0 @ Y1 @ Y2) => (Y0 @ Y2 @ 755.04/96.18 Y1))))))))))) => 755.04/96.18 (Y0 @ '#sk2' @ '#sk3'))))))), 755.04/96.18 inference('demod', [status(thm)], [zip_derived_cl996, zip_derived_cl1004])). 755.04/96.18 thf(zip_derived_cl1107, plain, 755.04/96.18 (![X2 : a > a > $o]: 755.04/96.18 (((((((!!) @ (^[Y0 : a]: 755.04/96.18 (((!!) @ (^[Y1 : a]: 755.04/96.18 ((('#sk1' @ Y0 @ Y1) => (X2 @ Y0 @ Y1))))))))) & 755.04/96.18 (((!!) @ (^[Y0 : a]: 755.04/96.18 (((!!) @ (^[Y1 : a]: 755.04/96.18 (((X2 @ Y0 @ Y1) => (X2 @ Y1 @ Y0))))))))))) => 755.04/96.18 (X2 @ '#sk2' @ '#sk3')))), 755.04/96.18 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl1016])). 755.04/96.18 thf(zip_derived_cl1108, plain, 755.04/96.18 (![X0 : a > a > $o, X1 : a > a > $o]: 755.04/96.18 (((((((!!) @ (^[Y0 : a]: 755.04/96.18 (((!!) @ (^[Y1 : a]: 755.04/96.18 ((('#sk1' @ Y0 @ Y1) => 755.04/96.18 (((X1 @ Y0 @ Y1) | (X0 @ Y0 @ Y1))))))))))) & 755.04/96.18 (((!!) @ (^[Y0 : a]: 755.04/96.18 (((!!) @ (^[Y1 : a]: 755.04/96.18 (((((X1 @ Y0 @ Y1) | (X0 @ Y0 @ Y1))) => 755.04/96.18 (((X1 @ Y1 @ Y0) | (X0 @ Y1 @ Y0))))))))))))) => 755.04/96.18 (((X1 @ '#sk2' @ '#sk3') | (X0 @ '#sk2' @ '#sk3')))))), 755.04/96.18 inference('ho.refine.early.bird', [status(thm)], [zip_derived_cl1107])). 755.04/96.18 thf(zip_derived_cl1587, plain, 755.04/96.18 (![X0 : a > a > $o, X1 : a > a > $o]: 755.04/96.18 (~ (((((!!) @ (^[Y0 : a]: 755.04/96.18 (((!!) @ (^[Y1 : a]: 755.04/96.18 ((('#sk1' @ Y0 @ Y1) => 755.04/96.18 (((X1 @ Y0 @ Y1) | (X0 @ Y0 @ Y1))))))))))) & 755.04/96.18 (((!!) @ (^[Y0 : a]: 755.04/96.18 (((!!) @ (^[Y1 : a]: 755.04/96.18 (((((X1 @ Y0 @ Y1) | (X0 @ Y0 @ Y1))) => 755.04/96.18 (((X1 @ Y1 @ Y0) | (X0 @ Y1 @ Y0))))))))))))) 755.04/96.18 | (((X1 @ '#sk2' @ '#sk3') | (X0 @ '#sk2' @ '#sk3'))))), 755.04/96.18 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl1108])). 755.04/96.18 thf(zip_derived_cl1588, plain, 755.04/96.18 (![X0 : a > a > $o, X1 : a > a > $o]: 755.04/96.18 (~ (((!!) @ (^[Y0 : a]: 755.04/96.18 (((!!) @ (^[Y1 : a]: 755.04/96.18 ((('#sk1' @ Y0 @ Y1) => 755.04/96.18 (((X1 @ Y0 @ Y1) | (X0 @ Y0 @ Y1))))))))))) 755.04/96.18 | ~ (((!!) @ (^[Y0 : a]: 755.04/96.18 (((!!) @ (^[Y1 : a]: 755.04/96.18 (((((X1 @ Y0 @ Y1) | (X0 @ Y0 @ Y1))) => 755.04/96.18 (((X1 @ Y1 @ Y0) | (X0 @ Y1 @ Y0))))))))))) 755.04/96.18 | (((X1 @ '#sk2' @ '#sk3') | (X0 @ '#sk2' @ '#sk3'))))), 755.04/96.18 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl1587])). 755.04/96.18 thf(zip_derived_cl1589, plain, 755.04/96.18 (![X0 : a > a > $o, X1 : a > a > $o]: 755.04/96.18 (~ (((!!) @ (^[Y0 : a]: 755.04/96.18 ((('#sk1' @ ('#sk178' @ X0 @ X1) @ Y0) => 755.04/96.18 (((X1 @ ('#sk178' @ X0 @ X1) @ Y0) | (X0 @ 755.04/96.18 ('#sk178' @ X0 @ X1) @ Y0)))))))) 755.04/96.18 | (((X1 @ '#sk2' @ '#sk3') | (X0 @ '#sk2' @ '#sk3'))) 755.04/96.18 | ~ (((!!) @ (^[Y0 : a]: 755.04/96.18 (((!!) @ (^[Y1 : a]: 755.04/96.18 (((((X1 @ Y0 @ Y1) | (X0 @ Y0 @ Y1))) => 755.04/96.18 (((X1 @ Y1 @ Y0) | (X0 @ Y1 @ Y0))))))))))))), 755.04/96.18 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl1588])). 755.04/96.18 thf(zip_derived_cl1590, plain, 755.04/96.18 (![X0 : a > a > $o, X1 : a > a > $o]: 755.04/96.18 (~ ((('#sk1' @ ('#sk178' @ X0 @ X1) @ ('#sk201' @ X0 @ X1)) => 755.04/96.18 (((X1 @ ('#sk178' @ X0 @ X1) @ ('#sk201' @ X0 @ X1)) | (X0 @ 755.04/96.18 ('#sk178' @ X0 @ X1) @ ('#sk201' @ X0 @ X1)))))) 755.04/96.18 | ~ (((!!) @ (^[Y0 : a]: 755.04/96.18 (((!!) @ (^[Y1 : a]: 755.04/96.18 (((((X1 @ Y0 @ Y1) | (X0 @ Y0 @ Y1))) => 755.04/96.18 (((X1 @ Y1 @ Y0) | (X0 @ Y1 @ Y0))))))))))) 755.04/96.18 | (((X1 @ '#sk2' @ '#sk3') | (X0 @ '#sk2' @ '#sk3'))))), 755.04/96.18 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl1589])). 755.04/96.18 thf(zip_derived_cl1591, plain, 755.04/96.18 (![X0 : a > a > $o, X1 : a > a > $o]: 755.04/96.18 ( ('#sk1' @ ('#sk178' @ X0 @ X1) @ ('#sk201' @ X0 @ X1)) 755.04/96.18 | (((X1 @ '#sk2' @ '#sk3') | (X0 @ '#sk2' @ '#sk3'))) 755.04/96.18 | ~ (((!!) @ (^[Y0 : a]: 755.04/96.18 (((!!) @ (^[Y1 : a]: 755.04/96.18 (((((X1 @ Y0 @ Y1) | (X0 @ Y0 @ Y1))) => 755.04/96.18 (((X1 @ Y1 @ Y0) | (X0 @ Y1 @ Y0))))))))))))), 755.04/96.18 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl1590])). 755.04/96.18 thf(zip_derived_cl1593, plain, 755.04/96.18 (![X0 : a > a > $o, X1 : a > a > $o]: 755.04/96.18 ( (X1 @ '#sk2' @ '#sk3') 755.04/96.18 | (X0 @ '#sk2' @ '#sk3') 755.04/96.18 | ~ (((!!) @ (^[Y0 : a]: 755.04/96.18 (((!!) @ (^[Y1 : a]: 755.04/96.18 (((((X1 @ Y0 @ Y1) | (X0 @ Y0 @ Y1))) => 755.04/96.18 (((X1 @ Y1 @ Y0) | (X0 @ Y1 @ Y0))))))))))) 755.04/96.18 | ('#sk1' @ ('#sk178' @ X0 @ X1) @ ('#sk201' @ X0 @ X1)))), 755.04/96.18 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl1591])). 755.04/96.18 thf(zip_derived_cl1596, plain, 755.04/96.18 (![X0 : a > a > $o, X1 : a > a > $o]: 755.04/96.18 (~ (((!!) @ (^[Y0 : a]: 755.04/96.18 (((((X1 @ ('#sk290' @ X0 @ X1) @ Y0) | (X0 @ 755.04/96.18 ('#sk290' @ X0 @ X1) @ Y0))) => 755.04/96.18 (((X1 @ Y0 @ ('#sk290' @ X0 @ X1)) | (X0 @ Y0 @ 755.04/96.18 ('#sk290' @ X0 @ X1))))))))) 755.04/96.18 | ('#sk1' @ ('#sk178' @ X0 @ X1) @ ('#sk201' @ X0 @ X1)) 755.04/96.18 | (X0 @ '#sk2' @ '#sk3') 755.04/96.18 | (X1 @ '#sk2' @ '#sk3'))), 755.04/96.18 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl1593])). 755.04/96.18 thf(zip_derived_cl1599, plain, 755.04/96.18 (![X0 : a > a > $o, X1 : a > a > $o]: 755.04/96.18 (~ (((((X1 @ ('#sk290' @ X0 @ X1) @ ('#sk351' @ X0 @ X1)) | (X0 @ 755.04/96.18 ('#sk290' @ X0 @ X1) @ ('#sk351' @ X0 @ X1)))) => 755.04/96.18 (((X1 @ ('#sk351' @ X0 @ X1) @ ('#sk290' @ X0 @ X1)) | (X0 @ 755.04/96.18 ('#sk351' @ X0 @ X1) @ ('#sk290' @ X0 @ X1)))))) 755.04/96.18 | (X1 @ '#sk2' @ '#sk3') 755.04/96.18 | (X0 @ '#sk2' @ '#sk3') 755.04/96.18 | ('#sk1' @ ('#sk178' @ X0 @ X1) @ ('#sk201' @ X0 @ X1)))), 755.04/96.18 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl1596])). 755.04/96.18 thf(zip_derived_cl1602, plain, 755.04/96.18 (![X0 : a > a > $o, X1 : a > a > $o]: 755.04/96.18 ( (((X1 @ ('#sk290' @ X0 @ X1) @ ('#sk351' @ X0 @ X1)) | (X0 @ 755.04/96.18 ('#sk290' @ X0 @ X1) @ ('#sk351' @ X0 @ X1)))) 755.04/96.18 | ('#sk1' @ ('#sk178' @ X0 @ X1) @ ('#sk201' @ X0 @ X1)) 755.04/96.18 | (X0 @ '#sk2' @ '#sk3') 755.04/96.18 | (X1 @ '#sk2' @ '#sk3'))), 755.04/96.18 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl1599])). 755.04/96.18 thf(zip_derived_cl1608, plain, 755.04/96.18 (![X0 : a > a > $o, X1 : a > a > $o]: 755.04/96.18 ( (X1 @ ('#sk290' @ X0 @ X1) @ ('#sk351' @ X0 @ X1)) 755.04/96.18 | (X0 @ ('#sk290' @ X0 @ X1) @ ('#sk351' @ X0 @ X1)) 755.04/96.18 | (X1 @ '#sk2' @ '#sk3') 755.04/96.18 | (X0 @ '#sk2' @ '#sk3') 755.04/96.18 | ('#sk1' @ ('#sk178' @ X0 @ X1) @ ('#sk201' @ X0 @ X1)))), 755.04/96.18 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl1602])). 755.04/96.18 thf(zip_derived_cl71, plain, 755.04/96.18 ((![X0 : a > a > $o, X1 : a > a > $o]: 755.04/96.18 ( (((X1 @ ('#sk290' @ X0 @ X1) @ ('#sk351' @ X0 @ X1)) | (X0 @ 755.04/96.18 ('#sk290' @ X0 @ X1) @ ('#sk351' @ X0 @ X1)))) 755.04/96.18 | (((X1 @ '#sk2' @ '#sk3') | (X0 @ '#sk2' @ '#sk3'))) 755.04/96.18 | ~ (X1 @ ('#sk178' @ X0 @ X1) @ ('#sk201' @ X0 @ X1)))) 755.04/96.18 <= (( (((!!) @ (^[Y0 : a > a > $o]: 755.04/96.18 (((((((!!) @ (^[Y1 : a]: 755.04/96.18 (((!!) @ (^[Y2 : a]: 755.04/96.18 ((('#sk1' @ Y1 @ Y2) => 755.04/96.18 (Y0 @ Y1 @ Y2))))))))) & 755.04/96.18 (((!!) @ (^[Y1 : a]: 755.04/96.18 (((!!) @ (^[Y2 : a]: 755.04/96.18 (((Y0 @ Y1 @ Y2) => 755.04/96.18 (Y0 @ Y2 @ Y1))))))))))) => 755.04/96.18 (Y0 @ '#sk2' @ '#sk3'))))))))), 755.04/96.18 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl67])). 755.04/96.18 thf(zip_derived_cl78, plain, 755.04/96.18 ((![X0 : a > a > $o, X1 : a > a > $o]: 755.04/96.18 ( (X1 @ ('#sk290' @ X0 @ X1) @ ('#sk351' @ X0 @ X1)) 755.04/96.18 | (X0 @ ('#sk290' @ X0 @ X1) @ ('#sk351' @ X0 @ X1)) 755.04/96.18 | ~ (X1 @ ('#sk178' @ X0 @ X1) @ ('#sk201' @ X0 @ X1)) 755.04/96.18 | (((X1 @ '#sk2' @ '#sk3') | (X0 @ '#sk2' @ '#sk3'))))) 755.04/96.18 <= (( (((!!) @ (^[Y0 : a > a > $o]: 755.04/96.18 (((((((!!) @ (^[Y1 : a]: 755.04/96.18 (((!!) @ (^[Y2 : a]: 755.04/96.18 ((('#sk1' @ Y1 @ Y2) => 755.04/96.18 (Y0 @ Y1 @ Y2))))))))) & 755.04/96.18 (((!!) @ (^[Y1 : a]: 755.04/96.18 (((!!) @ (^[Y2 : a]: 755.04/96.18 (((Y0 @ Y1 @ Y2) => 755.04/96.18 (Y0 @ Y2 @ Y1))))))))))) => 755.04/96.18 (Y0 @ '#sk2' @ '#sk3'))))))))), 755.04/96.18 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl71])). 755.04/96.18 thf(zip_derived_cl84, plain, 755.04/96.18 ((![X0 : a > a > $o, X1 : a > a > $o]: 755.04/96.18 ( (X1 @ '#sk2' @ '#sk3') 755.04/96.18 | (X0 @ '#sk2' @ '#sk3') 755.04/96.18 | ~ (X1 @ ('#sk178' @ X0 @ X1) @ ('#sk201' @ X0 @ X1)) 755.04/96.18 | (X0 @ ('#sk290' @ X0 @ X1) @ ('#sk351' @ X0 @ X1)) 755.04/96.18 | (X1 @ ('#sk290' @ X0 @ X1) @ ('#sk351' @ X0 @ X1)))) 755.04/96.18 <= (( (((!!) @ (^[Y0 : a > a > $o]: 755.04/96.18 (((((((!!) @ (^[Y1 : a]: 755.04/96.18 (((!!) @ (^[Y2 : a]: 755.04/96.18 ((('#sk1' @ Y1 @ Y2) => 755.04/96.18 (Y0 @ Y1 @ Y2))))))))) & 755.04/96.18 (((!!) @ (^[Y1 : a]: 755.04/96.18 (((!!) @ (^[Y2 : a]: 755.04/96.18 (((Y0 @ Y1 @ Y2) => 755.04/96.18 (Y0 @ Y2 @ Y1))))))))))) => 755.04/96.18 (Y0 @ '#sk2' @ '#sk3'))))))))), 755.04/96.18 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl78])). 755.04/96.18 thf('11', plain, 755.04/96.18 (( (((!!) @ (^[Y0 : a > a > $o]: 755.04/96.18 (((((((!!) @ (^[Y1 : a]: 755.04/96.18 (((!!) @ (^[Y2 : a]: 755.04/96.18 ((('#sk1' @ Y1 @ Y2) => (Y0 @ 755.04/96.18 Y1 @ Y2))))))))) & 755.04/96.18 (((!!) @ (^[Y1 : a]: 755.04/96.18 (((!!) @ (^[Y2 : a]: 755.04/96.18 (((Y0 @ Y1 @ Y2) => (Y0 @ 755.04/96.18 Y2 @ Y1))))))))))) => 755.04/96.18 (Y0 @ '#sk2' @ '#sk3')))))))), 755.04/96.18 inference('sat_resolution*', [status(thm)], 755.04/96.18 ['0', '1', '2', '3', '4', '5'])). 755.04/96.18 thf(zip_derived_cl1193, plain, 755.04/96.18 (![X0 : a > a > $o, X1 : a > a > $o]: 755.04/96.18 ( (X1 @ '#sk2' @ '#sk3') 755.04/96.18 | (X0 @ '#sk2' @ '#sk3') 755.04/96.18 | ~ (X1 @ ('#sk178' @ X0 @ X1) @ ('#sk201' @ X0 @ X1)) 755.04/96.18 | (X0 @ ('#sk290' @ X0 @ X1) @ ('#sk351' @ X0 @ X1)) 755.04/96.18 | (X1 @ ('#sk290' @ X0 @ X1) @ ('#sk351' @ X0 @ X1)))), 755.04/96.18 inference('simpl_trail', [status(thm)], [zip_derived_cl84, '11'])). 755.04/96.18 thf(zip_derived_cl1623, plain, 755.04/96.18 (![X0 : a > a > $o]: 755.04/96.18 ( (X0 @ '#sk2' @ '#sk3') 755.04/96.18 | ('#sk1' @ '#sk2' @ '#sk3') 755.04/96.18 | (X0 @ ('#sk290' @ X0 @ '#sk1') @ ('#sk351' @ X0 @ '#sk1')) 755.04/96.18 | ('#sk1' @ ('#sk290' @ X0 @ '#sk1') @ ('#sk351' @ X0 @ '#sk1')) 755.04/96.18 | ('#sk1' @ ('#sk290' @ X0 @ '#sk1') @ ('#sk351' @ X0 @ '#sk1')) 755.04/96.18 | (X0 @ ('#sk290' @ X0 @ '#sk1') @ ('#sk351' @ X0 @ '#sk1')) 755.04/96.18 | (X0 @ '#sk2' @ '#sk3') 755.04/96.18 | ('#sk1' @ '#sk2' @ '#sk3'))), 755.04/96.18 inference('sup-', [status(thm)], [zip_derived_cl1608, zip_derived_cl1193])). 755.04/96.18 thf(zip_derived_cl1004, plain, (~ ('#sk1' @ '#sk2' @ '#sk3')), 755.04/96.18 inference('simpl_trail', [status(thm)], [zip_derived_cl1002, '10'])). 755.04/96.18 thf(zip_derived_cl1004, plain, (~ ('#sk1' @ '#sk2' @ '#sk3')), 755.04/96.18 inference('simpl_trail', [status(thm)], [zip_derived_cl1002, '10'])). 755.04/96.18 thf(zip_derived_cl1841, plain, 755.04/96.18 (![X0 : a > a > $o]: 755.04/96.18 ( (X0 @ '#sk2' @ '#sk3') 755.04/96.18 | (X0 @ ('#sk290' @ X0 @ '#sk1') @ ('#sk351' @ X0 @ '#sk1')) 755.04/96.18 | ('#sk1' @ ('#sk290' @ X0 @ '#sk1') @ ('#sk351' @ X0 @ '#sk1')) 755.04/96.18 | ('#sk1' @ ('#sk290' @ X0 @ '#sk1') @ ('#sk351' @ X0 @ '#sk1')) 755.04/96.18 | (X0 @ ('#sk290' @ X0 @ '#sk1') @ ('#sk351' @ X0 @ '#sk1')) 755.04/96.18 | (X0 @ '#sk2' @ '#sk3'))), 755.04/96.18 inference('demod', [status(thm)], 755.04/96.18 [zip_derived_cl1623, zip_derived_cl1004, zip_derived_cl1004])). 755.04/96.18 thf(zip_derived_cl1842, plain, 755.04/96.18 (![X0 : a > a > $o]: 755.04/96.18 ( ('#sk1' @ ('#sk290' @ X0 @ '#sk1') @ ('#sk351' @ X0 @ '#sk1')) 755.04/96.18 | (X0 @ ('#sk290' @ X0 @ '#sk1') @ ('#sk351' @ X0 @ '#sk1')) 755.04/96.18 | (X0 @ '#sk2' @ '#sk3'))), 755.04/96.18 inference('simplify', [status(thm)], [zip_derived_cl1841])). 755.04/96.18 thf(zip_derived_cl9679, plain, 755.04/96.18 (( ((^[Y0 : a,Y1 : a]: 755.04/96.18 ('#sk1' @ Y1 @ ((^[Y2 : a,Y3 : a]: (Y2)) @ Y0 @ Y1))) @ 755.04/96.18 '#sk2' @ '#sk3') 755.04/96.18 | ((^[Y0 : a,Y1 : a]: 755.04/96.18 ('#sk1' @ ((^[Y2 : a,Y3 : a]: (Y3)) @ Y0 @ Y1) @ 755.04/96.18 ((^[Y2 : a,Y3 : a]: (Y2)) @ Y0 @ Y1))) @ 755.04/96.18 '#sk2' @ '#sk3') 755.04/96.18 | ('#sk1' @ 755.04/96.18 ('#sk290' @ 755.04/96.18 (^[Y0 : a,Y1 : a]: 755.04/96.18 ('#sk1' @ ((^[Y2 : a,Y3 : a]: (Y3)) @ Y0 @ Y1) @ 755.04/96.18 ((^[Y2 : a,Y3 : a]: (Y2)) @ Y0 @ Y1))) @ 755.04/96.18 '#sk1') @ 755.04/96.18 ('#sk351' @ 755.04/96.18 (^[Y0 : a,Y1 : a]: 755.04/96.18 ('#sk1' @ ((^[Y2 : a,Y3 : a]: (Y3)) @ Y0 @ Y1) @ 755.04/96.18 ((^[Y2 : a,Y3 : a]: (Y2)) @ Y0 @ Y1))) @ 755.04/96.18 '#sk1')))), 755.04/96.18 inference('sup+', [status(thm)], [zip_derived_cl2220, zip_derived_cl1842])). 755.04/96.18 thf(zip_derived_cl9763, plain, 755.04/96.18 (( ('#sk1' @ '#sk3' @ '#sk2') 755.04/96.18 | ('#sk1' @ '#sk3' @ '#sk2') 755.04/96.18 | ('#sk1' @ 755.04/96.18 ('#sk290' @ (^[Y0 : a,Y1 : a]: ('#sk1' @ Y1 @ Y0)) @ '#sk1') @ 755.04/96.18 ('#sk351' @ (^[Y0 : a,Y1 : a]: ('#sk1' @ Y1 @ Y0)) @ '#sk1')))), 755.04/96.18 inference('ho_norm', [status(thm)], [zip_derived_cl9679])). 755.04/96.18 thf(zip_derived_cl925, plain, (~ ('#sk1' @ '#sk3' @ '#sk2')), 755.04/96.18 inference('simpl_trail', [status(thm)], [zip_derived_cl37, '9'])). 755.04/96.18 thf(zip_derived_cl925, plain, (~ ('#sk1' @ '#sk3' @ '#sk2')), 755.04/96.18 inference('simpl_trail', [status(thm)], [zip_derived_cl37, '9'])). 755.04/96.18 thf(zip_derived_cl9764, plain, 755.04/96.18 ( ('#sk1' @ 755.04/96.18 ('#sk290' @ (^[Y0 : a,Y1 : a]: ('#sk1' @ Y1 @ Y0)) @ '#sk1') @ 755.04/96.18 ('#sk351' @ (^[Y0 : a,Y1 : a]: ('#sk1' @ Y1 @ Y0)) @ '#sk1'))), 755.04/96.18 inference('demod', [status(thm)], 755.04/96.18 [zip_derived_cl9763, zip_derived_cl925, zip_derived_cl925])). 755.04/96.18 thf(zip_derived_cl80, plain, 755.04/96.18 ((![X0 : a > a > $o, X1 : a > a > $o]: 755.04/96.18 (~ (X0 @ ('#sk351' @ X0 @ X1) @ ('#sk290' @ X0 @ X1)) 755.04/96.18 | ~ (X1 @ ('#sk178' @ X0 @ X1) @ ('#sk201' @ X0 @ X1)) 755.04/96.18 | (((X1 @ '#sk2' @ '#sk3') | (X0 @ '#sk2' @ '#sk3'))))) 755.04/96.18 <= (( (((!!) @ (^[Y0 : a > a > $o]: 755.04/96.18 (((((((!!) @ (^[Y1 : a]: 755.04/96.18 (((!!) @ (^[Y2 : a]: 755.04/96.18 ((('#sk1' @ Y1 @ Y2) => 755.04/96.18 (Y0 @ Y1 @ Y2))))))))) & 755.04/96.18 (((!!) @ (^[Y1 : a]: 755.04/96.18 (((!!) @ (^[Y2 : a]: 755.04/96.18 (((Y0 @ Y1 @ Y2) => 755.04/96.18 (Y0 @ Y2 @ Y1))))))))))) => 755.04/96.18 (Y0 @ '#sk2' @ '#sk3'))))))))), 755.04/96.18 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl72])). 755.04/96.18 thf(zip_derived_cl86, plain, 755.04/96.18 ((![X0 : a > a > $o, X1 : a > a > $o]: 755.04/96.18 ( (X1 @ '#sk2' @ '#sk3') 755.04/96.18 | (X0 @ '#sk2' @ '#sk3') 755.04/96.18 | ~ (X1 @ ('#sk178' @ X0 @ X1) @ ('#sk201' @ X0 @ X1)) 755.04/96.18 | ~ (X0 @ ('#sk351' @ X0 @ X1) @ ('#sk290' @ X0 @ X1)))) 755.04/96.18 <= (( (((!!) @ (^[Y0 : a > a > $o]: 755.04/96.18 (((((((!!) @ (^[Y1 : a]: 755.04/96.18 (((!!) @ (^[Y2 : a]: 755.04/96.18 ((('#sk1' @ Y1 @ Y2) => 755.04/96.18 (Y0 @ Y1 @ Y2))))))))) & 755.04/96.18 (((!!) @ (^[Y1 : a]: 755.04/96.18 (((!!) @ (^[Y2 : a]: 755.04/96.18 (((Y0 @ Y1 @ Y2) => 755.04/96.18 (Y0 @ Y2 @ Y1))))))))))) => 755.04/96.18 (Y0 @ '#sk2' @ '#sk3'))))))))), 755.04/96.18 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl80])). 755.04/96.18 thf('12', plain, 755.04/96.18 (( (((!!) @ (^[Y0 : a > a > $o]: 755.04/96.18 (((((((!!) @ (^[Y1 : a]: 755.04/96.18 (((!!) @ (^[Y2 : a]: 755.04/96.18 ((('#sk1' @ Y1 @ Y2) => (Y0 @ 755.04/96.18 Y1 @ Y2))))))))) & 755.04/96.18 (((!!) @ (^[Y1 : a]: 755.04/96.18 (((!!) @ (^[Y2 : a]: 755.04/96.18 (((Y0 @ Y1 @ Y2) => (Y0 @ 755.04/96.18 Y2 @ Y1))))))))))) => 755.04/96.18 (Y0 @ '#sk2' @ '#sk3')))))))), 755.04/96.18 inference('sat_resolution*', [status(thm)], 755.04/96.18 ['0', '1', '2', '3', '4', '5'])). 755.04/96.18 thf(zip_derived_cl2567, plain, 755.04/96.18 (![X0 : a > a > $o, X1 : a > a > $o]: 755.04/96.18 ( (X1 @ '#sk2' @ '#sk3') 755.04/96.18 | (X0 @ '#sk2' @ '#sk3') 755.04/96.18 | ~ (X1 @ ('#sk178' @ X0 @ X1) @ ('#sk201' @ X0 @ X1)) 755.04/96.18 | ~ (X0 @ ('#sk351' @ X0 @ X1) @ ('#sk290' @ X0 @ X1)))), 755.04/96.18 inference('simpl_trail', [status(thm)], [zip_derived_cl86, '12'])). 755.04/96.18 thf(zip_derived_cl10377, plain, 755.04/96.18 ((~ ('#sk1' @ 755.04/96.18 ('#sk178' @ 755.04/96.18 (^[Y0 : a,Y1 : a]: 755.04/96.18 ('#sk1' @ ((^[Y2 : a,Y3 : a]: (Y3)) @ Y0 @ Y1) @ 755.04/96.18 ((^[Y2 : a,Y3 : a]: (Y2)) @ Y0 @ Y1))) @ 755.04/96.18 '#sk1') @ 755.04/96.18 ('#sk201' @ 755.04/96.18 (^[Y0 : a,Y1 : a]: 755.04/96.18 ('#sk1' @ ((^[Y2 : a,Y3 : a]: (Y3)) @ Y0 @ Y1) @ 755.04/96.18 ((^[Y2 : a,Y3 : a]: (Y2)) @ Y0 @ Y1))) @ 755.04/96.18 '#sk1')) 755.04/96.18 | ((^[Y0 : a,Y1 : a]: 755.04/96.18 ('#sk1' @ ((^[Y2 : a,Y3 : a]: (Y3)) @ Y0 @ Y1) @ 755.04/96.18 ((^[Y2 : a,Y3 : a]: (Y2)) @ Y0 @ Y1))) @ 755.04/96.18 '#sk2' @ '#sk3') 755.04/96.18 | ('#sk1' @ '#sk2' @ '#sk3'))), 755.04/96.18 inference('sup-', [status(thm)], [zip_derived_cl9764, zip_derived_cl2567])). 755.04/96.18 thf(zip_derived_cl10389, plain, 755.04/96.18 ((~ ('#sk1' @ 755.04/96.18 ('#sk178' @ (^[Y0 : a,Y1 : a]: ('#sk1' @ Y1 @ Y0)) @ '#sk1') @ 755.04/96.18 ('#sk201' @ (^[Y0 : a,Y1 : a]: ('#sk1' @ Y1 @ Y0)) @ '#sk1')) 755.04/96.18 | ('#sk1' @ '#sk3' @ '#sk2') 755.04/96.18 | ('#sk1' @ '#sk2' @ '#sk3'))), 755.04/96.18 inference('ho_norm', [status(thm)], [zip_derived_cl10377])). 755.04/96.18 thf(zip_derived_cl925, plain, (~ ('#sk1' @ '#sk3' @ '#sk2')), 755.04/96.18 inference('simpl_trail', [status(thm)], [zip_derived_cl37, '9'])). 755.04/96.18 thf(zip_derived_cl1004, plain, (~ ('#sk1' @ '#sk2' @ '#sk3')), 755.04/96.18 inference('simpl_trail', [status(thm)], [zip_derived_cl1002, '10'])). 755.04/96.18 thf(zip_derived_cl10390, plain, 755.04/96.18 (~ ('#sk1' @ 755.04/96.18 ('#sk178' @ (^[Y0 : a,Y1 : a]: ('#sk1' @ Y1 @ Y0)) @ '#sk1') @ 755.04/96.18 ('#sk201' @ (^[Y0 : a,Y1 : a]: ('#sk1' @ Y1 @ Y0)) @ '#sk1'))), 755.04/96.18 inference('demod', [status(thm)], 755.04/96.18 [zip_derived_cl10389, zip_derived_cl925, zip_derived_cl1004])). 755.04/96.18 thf(zip_derived_cl10397, plain, 755.04/96.18 (( ((^[Y0 : a,Y1 : a]: ('#sk1' @ Y1 @ Y0)) @ '#sk2' @ '#sk3') 755.04/96.18 | ('#sk1' @ '#sk2' @ '#sk3') 755.04/96.18 | ~ ((^[Y0 : a,Y1 : a]: ('#sk1' @ Y1 @ Y0)) @ 755.04/96.18 ('#sk351' @ (^[Y0 : a,Y1 : a]: ('#sk1' @ Y1 @ Y0)) @ '#sk1') @ 755.04/96.18 ('#sk290' @ (^[Y0 : a,Y1 : a]: ('#sk1' @ Y1 @ Y0)) @ '#sk1')))), 755.04/96.18 inference('sup-', [status(thm)], 755.04/96.18 [zip_derived_cl1027, zip_derived_cl10390])). 755.04/96.18 thf(zip_derived_cl10403, plain, 755.04/96.18 (( ('#sk1' @ '#sk3' @ '#sk2') 755.04/96.18 | ('#sk1' @ '#sk2' @ '#sk3') 755.04/96.18 | ~ ('#sk1' @ 755.04/96.18 ('#sk290' @ (^[Y0 : a,Y1 : a]: ('#sk1' @ Y1 @ Y0)) @ '#sk1') @ 755.04/96.18 ('#sk351' @ (^[Y0 : a,Y1 : a]: ('#sk1' @ Y1 @ Y0)) @ '#sk1')))), 755.04/96.18 inference('ho_norm', [status(thm)], [zip_derived_cl10397])). 755.04/96.18 thf(zip_derived_cl925, plain, (~ ('#sk1' @ '#sk3' @ '#sk2')), 755.04/96.18 inference('simpl_trail', [status(thm)], [zip_derived_cl37, '9'])). 755.04/96.18 thf(zip_derived_cl1004, plain, (~ ('#sk1' @ '#sk2' @ '#sk3')), 755.04/96.18 inference('simpl_trail', [status(thm)], [zip_derived_cl1002, '10'])). 755.04/96.18 thf(zip_derived_cl9764, plain, 755.04/96.18 ( ('#sk1' @ 755.04/96.18 ('#sk290' @ (^[Y0 : a,Y1 : a]: ('#sk1' @ Y1 @ Y0)) @ '#sk1') @ 755.04/96.18 ('#sk351' @ (^[Y0 : a,Y1 : a]: ('#sk1' @ Y1 @ Y0)) @ '#sk1'))), 755.04/96.18 inference('demod', [status(thm)], 755.04/96.18 [zip_derived_cl9763, zip_derived_cl925, zip_derived_cl925])). 755.04/96.18 thf(zip_derived_cl10404, plain, ($false), 755.04/96.18 inference('demod', [status(thm)], 755.04/96.18 [zip_derived_cl10403, zip_derived_cl925, zip_derived_cl1004, 755.04/96.18 zip_derived_cl9764])). 755.04/96.18 755.04/96.18 % SZS output end Refutation 755.04/96.18 755.04/96.18 755.04/96.18 % Terminating... 755.48/96.27 % Runner terminated. 755.48/96.28 % Zipperpin 1.5 exiting 755.48/96.28 EOF