0.06/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.06/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.oAeq2d4GTs true 0.13/0.34 % Computer : n008.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 : 1440 0.13/0.34 % WCLimit : 180 0.13/0.34 % DateTime : Thu Jul 4 06:27:39 EDT 2024 0.13/0.34 % CPUTime : 0.13/0.34 % Running portfolio for 1440 s 0.13/0.34 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p 0.13/0.34 % Number of cores: 8 0.13/0.35 % Python version: Python 3.6.8 0.13/0.35 % Running in HO mode 0.57/0.69 % Total configuration time : 828 0.57/0.69 % Estimated wc time : 1656 0.57/0.69 % Estimated cpu time (8 cpus) : 207.0 0.58/0.74 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s 0.58/0.74 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s 0.58/0.75 % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s 0.58/0.75 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s 0.58/0.75 % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s 0.59/0.77 % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s 0.59/0.79 % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s 0.59/0.82 % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s 55.20/7.59 % Solved by lams/20_acsne_simpl.sh. 55.20/7.59 % done 791 iterations in 6.669s 55.20/7.59 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p' 55.20/7.59 % SZS output start Refutation 55.20/7.59 thf(a_type, type, a: $tType). 55.20/7.59 thf('#sk4_type', type, '#sk4': a). 55.20/7.59 thf('#sk30_type', type, '#sk30': a > a > $o). 55.20/7.59 thf('#form103_type', type, '#form103': (a > a > $o) > $o). 55.20/7.59 thf('#sk3_type', type, '#sk3': a). 55.20/7.59 thf('#sk104_type', type, '#sk104': (a > a > $o) > a). 55.20/7.59 thf('#sk412_type', type, '#sk412': (a > a > $o) > a). 55.20/7.59 thf('#sk162_type', type, '#sk162': (a > a > $o) > a). 55.20/7.59 thf('#sk348_type', type, '#sk348': (a > a > $o) > a). 55.20/7.59 thf('#sk12_type', type, '#sk12': a). 55.20/7.59 thf('#sk21_type', type, '#sk21': a > a > $o). 55.20/7.59 thf('#sk151_type', type, '#sk151': (a > a > $o) > a). 55.20/7.59 thf('#sk47_type', type, '#sk47': (a > a > $o) > a). 55.20/7.59 thf('#sk77_type', type, '#sk77': (a > a > $o) > a). 55.20/7.59 thf('#sk6_type', type, '#sk6': a). 55.20/7.59 thf('#sk2_type', type, '#sk2': a > a > $o). 55.20/7.59 thf('#sk8_type', type, '#sk8': a). 55.20/7.59 thf('#sk10_type', type, '#sk10': a). 55.20/7.59 thf('#sk7_type', type, '#sk7': a). 55.20/7.59 thf('#form9_type', type, '#form9': $o). 55.20/7.59 thf('#form11_type', type, '#form11': $o). 55.20/7.59 thf('#sk339_type', type, '#sk339': (a > a > $o) > a). 55.20/7.59 thf('#sk5_type', type, '#sk5': a > a > $o). 55.20/7.59 thf('#sk1_type', type, '#sk1': a > a > $o). 55.20/7.59 thf('#sk224_type', type, '#sk224': (a > a > $o) > a). 55.20/7.59 thf('#form94_type', type, '#form94': $o). 55.20/7.59 thf('#sk237_type', type, '#sk237': (a > a > $o) > a). 55.20/7.59 thf('#sk404_type', type, '#sk404': (a > a > $o) > a). 55.20/7.59 thf(cTHM250H_pme, conjecture, 55.20/7.59 (![R:( a > a > $o ),S:( a > a > $o ),Xx:a,Xy:a]: 55.20/7.59 ( ( ( ![Xx0:a,Xy0:a,Xz:a]: 55.20/7.59 ( ( ( ![Xp1:( a > a > $o )]: 55.20/7.59 ( ( ( ![Xx1:a,Xy1:a]: 55.20/7.59 ( ( ( S @ Xx1 @ Xy1 ) | ( R @ Xx1 @ Xy1 ) ) => 55.20/7.59 ( Xp1 @ Xx1 @ Xy1 ) ) ) & 55.20/7.59 ( ![Xx1:a,Xy1:a,Xz0:a]: 55.20/7.59 ( ( ( Xp1 @ Xx1 @ Xy1 ) & ( Xp1 @ Xy1 @ Xz0 ) ) => 55.20/7.59 ( Xp1 @ Xx1 @ Xz0 ) ) ) ) => 55.20/7.59 ( Xp1 @ Xx0 @ Xy0 ) ) ) & 55.20/7.59 ( ![Xp1:( a > a > $o )]: 55.20/7.59 ( ( ( ![Xx1:a,Xy1:a]: 55.20/7.59 ( ( ( R @ Xx1 @ Xy1 ) | ( S @ Xx1 @ Xy1 ) ) => 55.20/7.59 ( Xp1 @ Xx1 @ Xy1 ) ) ) & 55.20/7.59 ( ![Xx1:a,Xy1:a,Xz0:a]: 55.20/7.59 ( ( ( Xp1 @ Xx1 @ Xy1 ) & ( Xp1 @ Xy1 @ Xz0 ) ) => 55.20/7.59 ( Xp1 @ Xx1 @ Xz0 ) ) ) ) => 55.20/7.59 ( Xp1 @ Xy0 @ Xz ) ) ) ) => 55.20/7.59 ( ![Xp1:( a > a > $o )]: 55.20/7.59 ( ( ( ![Xx1:a,Xy1:a,Xz0:a]: 55.20/7.59 ( ( ( Xp1 @ Xy1 @ Xz0 ) & ( Xp1 @ Xx1 @ Xy1 ) ) => 55.20/7.59 ( Xp1 @ Xx1 @ Xz0 ) ) ) & 55.20/7.59 ( ![Xx1:a,Xy1:a]: 55.20/7.59 ( ( ( R @ Xx1 @ Xy1 ) | ( S @ Xx1 @ Xy1 ) ) => 55.20/7.59 ( Xp1 @ Xx1 @ Xy1 ) ) ) ) => 55.20/7.59 ( Xp1 @ Xx0 @ Xz ) ) ) ) ) & 55.20/7.59 ( ![Xx0:a,Xy0:a]: 55.20/7.59 ( ( ( ![Xp1:( a > a > $o )]: 55.20/7.59 ( ( ( ![Xx1:a,Xy1:a,Xz:a]: 55.20/7.59 ( ( ( Xp1 @ Xx1 @ Xy1 ) & ( Xp1 @ Xy1 @ Xz ) ) => 55.20/7.59 ( Xp1 @ Xx1 @ Xz ) ) ) & 55.20/7.59 ( ![Xx1:a,Xy1:a]: 55.20/7.59 ( ( S @ Xx1 @ Xy1 ) => ( Xp1 @ Xx1 @ Xy1 ) ) ) ) => 55.20/7.59 ( Xp1 @ Xx0 @ Xy0 ) ) ) | 55.20/7.59 ( ![Xp1:( a > a > $o )]: 55.20/7.59 ( ( ( ![Xx1:a,Xy1:a,Xz:a]: 55.20/7.59 ( ( ( Xp1 @ Xx1 @ Xy1 ) & ( Xp1 @ Xy1 @ Xz ) ) => 55.20/7.59 ( Xp1 @ Xx1 @ Xz ) ) ) & 55.20/7.59 ( ![Xx1:a,Xy1:a]: 55.20/7.59 ( ( R @ Xx1 @ Xy1 ) => ( Xp1 @ Xx1 @ Xy1 ) ) ) ) => 55.20/7.59 ( Xp1 @ Xx0 @ Xy0 ) ) ) ) => 55.20/7.59 ( ![Xp1:( a > a > $o )]: 55.20/7.59 ( ( ( ![Xx1:a,Xy1:a]: 55.20/7.59 ( ( ( S @ Xx1 @ Xy1 ) | ( R @ Xx1 @ Xy1 ) ) => 55.20/7.59 ( Xp1 @ Xx1 @ Xy1 ) ) ) & 55.20/7.59 ( ![Xx1:a,Xy1:a,Xz:a]: 55.20/7.59 ( ( ( Xp1 @ Xx1 @ Xy1 ) & ( Xp1 @ Xy1 @ Xz ) ) => 55.20/7.59 ( Xp1 @ Xx1 @ Xz ) ) ) ) => 55.20/7.59 ( Xp1 @ Xx0 @ Xy0 ) ) ) ) ) & 55.20/7.59 ( ~( ![Xp1:( a > a > $o )]: 55.20/7.59 ( ( ( ![Xx0:a,Xy0:a]: 55.20/7.59 ( ( ( R @ Xx0 @ Xy0 ) | ( S @ Xx0 @ Xy0 ) ) => 55.20/7.59 ( Xp1 @ Xx0 @ Xy0 ) ) ) & 55.20/7.59 ( ![Xx0:a,Xy0:a,Xz:a]: 55.20/7.59 ( ( ( Xp1 @ Xx0 @ Xy0 ) & ( Xp1 @ Xy0 @ Xz ) ) => 55.20/7.59 ( Xp1 @ Xx0 @ Xz ) ) ) ) => 55.20/7.59 ( Xp1 @ Xx @ Xy ) ) ) ) ) | 55.20/7.59 ( ![Xp1:( a > a > $o )]: 55.20/7.59 ( ( ( ![Xx0:a,Xy0:a,Xz:a]: 55.20/7.59 ( ( ( Xp1 @ Xx0 @ Xy0 ) & ( Xp1 @ Xy0 @ Xz ) ) => 55.20/7.59 ( Xp1 @ Xx0 @ Xz ) ) ) & 55.20/7.59 ( ![Xx0:a,Xy0:a]: 55.20/7.59 ( ( ( R @ Xx0 @ Xy0 ) | ( S @ Xx0 @ Xy0 ) ) => 55.20/7.59 ( Xp1 @ Xx0 @ Xy0 ) ) ) ) => 55.20/7.59 ( Xp1 @ Xx @ Xy ) ) ) ))). 55.20/7.59 thf(zf_stmt_0, negated_conjecture, 55.20/7.59 (~( ![R:( a > a > $o ),S:( a > a > $o ),Xx:a,Xy:a]: 55.20/7.59 ( ( ( ![Xx0:a,Xy0:a,Xz:a]: 55.20/7.59 ( ( ( ![Xp1:( a > a > $o )]: 55.20/7.59 ( ( ( ![Xx1:a,Xy1:a]: 55.20/7.59 ( ( ( S @ Xx1 @ Xy1 ) | ( R @ Xx1 @ Xy1 ) ) => 55.20/7.59 ( Xp1 @ Xx1 @ Xy1 ) ) ) & 55.20/7.59 ( ![Xx1:a,Xy1:a,Xz0:a]: 55.20/7.59 ( ( ( Xp1 @ Xx1 @ Xy1 ) & ( Xp1 @ Xy1 @ Xz0 ) ) => 55.20/7.59 ( Xp1 @ Xx1 @ Xz0 ) ) ) ) => 55.20/7.59 ( Xp1 @ Xx0 @ Xy0 ) ) ) & 55.20/7.59 ( ![Xp1:( a > a > $o )]: 55.20/7.59 ( ( ( ![Xx1:a,Xy1:a]: 55.20/7.59 ( ( ( R @ Xx1 @ Xy1 ) | ( S @ Xx1 @ Xy1 ) ) => 55.20/7.59 ( Xp1 @ Xx1 @ Xy1 ) ) ) & 55.20/7.59 ( ![Xx1:a,Xy1:a,Xz0:a]: 55.20/7.59 ( ( ( Xp1 @ Xx1 @ Xy1 ) & ( Xp1 @ Xy1 @ Xz0 ) ) => 55.20/7.59 ( Xp1 @ Xx1 @ Xz0 ) ) ) ) => 55.20/7.59 ( Xp1 @ Xy0 @ Xz ) ) ) ) => 55.20/7.59 ( ![Xp1:( a > a > $o )]: 55.20/7.59 ( ( ( ![Xx1:a,Xy1:a,Xz0:a]: 55.20/7.59 ( ( ( Xp1 @ Xy1 @ Xz0 ) & ( Xp1 @ Xx1 @ Xy1 ) ) => 55.20/7.59 ( Xp1 @ Xx1 @ Xz0 ) ) ) & 55.20/7.59 ( ![Xx1:a,Xy1:a]: 55.20/7.59 ( ( ( R @ Xx1 @ Xy1 ) | ( S @ Xx1 @ Xy1 ) ) => 55.20/7.59 ( Xp1 @ Xx1 @ Xy1 ) ) ) ) => 55.20/7.59 ( Xp1 @ Xx0 @ Xz ) ) ) ) ) & 55.20/7.59 ( ![Xx0:a,Xy0:a]: 55.20/7.59 ( ( ( ![Xp1:( a > a > $o )]: 55.20/7.59 ( ( ( ![Xx1:a,Xy1:a,Xz:a]: 55.20/7.59 ( ( ( Xp1 @ Xx1 @ Xy1 ) & ( Xp1 @ Xy1 @ Xz ) ) => 55.20/7.59 ( Xp1 @ Xx1 @ Xz ) ) ) & 55.20/7.59 ( ![Xx1:a,Xy1:a]: 55.20/7.59 ( ( S @ Xx1 @ Xy1 ) => ( Xp1 @ Xx1 @ Xy1 ) ) ) ) => 55.20/7.59 ( Xp1 @ Xx0 @ Xy0 ) ) ) | 55.20/7.59 ( ![Xp1:( a > a > $o )]: 55.20/7.59 ( ( ( ![Xx1:a,Xy1:a,Xz:a]: 55.20/7.59 ( ( ( Xp1 @ Xx1 @ Xy1 ) & ( Xp1 @ Xy1 @ Xz ) ) => 55.20/7.59 ( Xp1 @ Xx1 @ Xz ) ) ) & 55.20/7.59 ( ![Xx1:a,Xy1:a]: 55.20/7.59 ( ( R @ Xx1 @ Xy1 ) => ( Xp1 @ Xx1 @ Xy1 ) ) ) ) => 55.20/7.59 ( Xp1 @ Xx0 @ Xy0 ) ) ) ) => 55.20/7.59 ( ![Xp1:( a > a > $o )]: 55.20/7.59 ( ( ( ![Xx1:a,Xy1:a]: 55.20/7.59 ( ( ( S @ Xx1 @ Xy1 ) | ( R @ Xx1 @ Xy1 ) ) => 55.20/7.59 ( Xp1 @ Xx1 @ Xy1 ) ) ) & 55.20/7.59 ( ![Xx1:a,Xy1:a,Xz:a]: 55.20/7.59 ( ( ( Xp1 @ Xx1 @ Xy1 ) & ( Xp1 @ Xy1 @ Xz ) ) => 55.20/7.59 ( Xp1 @ Xx1 @ Xz ) ) ) ) => 55.20/7.59 ( Xp1 @ Xx0 @ Xy0 ) ) ) ) ) & 55.20/7.59 ( ~( ![Xp1:( a > a > $o )]: 55.20/7.59 ( ( ( ![Xx0:a,Xy0:a]: 55.20/7.59 ( ( ( R @ Xx0 @ Xy0 ) | ( S @ Xx0 @ Xy0 ) ) => 55.20/7.59 ( Xp1 @ Xx0 @ Xy0 ) ) ) & 55.20/7.59 ( ![Xx0:a,Xy0:a,Xz:a]: 55.20/7.59 ( ( ( Xp1 @ Xx0 @ Xy0 ) & ( Xp1 @ Xy0 @ Xz ) ) => 55.20/7.59 ( Xp1 @ Xx0 @ Xz ) ) ) ) => 55.20/7.59 ( Xp1 @ Xx @ Xy ) ) ) ) ) | 55.20/7.59 ( ![Xp1:( a > a > $o )]: 55.20/7.59 ( ( ( ![Xx0:a,Xy0:a,Xz:a]: 55.20/7.59 ( ( ( Xp1 @ Xx0 @ Xy0 ) & ( Xp1 @ Xy0 @ Xz ) ) => 55.20/7.59 ( Xp1 @ Xx0 @ Xz ) ) ) & 55.20/7.59 ( ![Xx0:a,Xy0:a]: 55.20/7.59 ( ( ( R @ Xx0 @ Xy0 ) | ( S @ Xx0 @ Xy0 ) ) => 55.20/7.59 ( Xp1 @ Xx0 @ Xy0 ) ) ) ) => 55.20/7.59 ( Xp1 @ Xx @ Xy ) ) ) ) )), 55.20/7.59 inference('cnf.neg', [status(esa)], [cTHM250H_pme])). 55.20/7.59 thf(zip_derived_cl0, plain, 55.20/7.59 (~ (((!!) @ (^[Y0 : a > a > $o]: 55.20/7.59 (((!!) @ (^[Y1 : a > a > $o]: 55.20/7.59 (((!!) @ (^[Y2 : a]: 55.20/7.59 (((!!) @ (^[Y3 : a]: 55.20/7.59 (((((((!!) @ ( 55.20/7.59 ^[Y4 : a]: 55.20/7.59 (((!!) @ ( 55.20/7.59 ^[Y5 : a]: 55.20/7.59 (( 55.20/7.59 (!!) @ ( 55.20/7.59 ^[Y6 : a]: 55.20/7.59 (( 55.20/7.59 (( 55.20/7.59 (( 55.20/7.59 (!!) @ ( 55.20/7.59 ^[Y7 : 55.20/7.59 a > a > $o]: 55.20/7.59 (( 55.20/7.59 (( 55.20/7.59 (( 55.20/7.59 (!!) @ ( 55.20/7.59 ^[Y8 : a]: 55.20/7.59 (( 55.20/7.59 (!!) @ ( 55.20/7.59 ^[Y9 : a]: 55.20/7.59 (( 55.20/7.59 (( 55.20/7.59 (Y1 @ 55.20/7.59 Y8 @ 55.20/7.59 Y9) | 55.20/7.59 (Y0 @ 55.20/7.59 Y8 @ Y9))) => 55.20/7.59 (Y7 @ 55.20/7.59 Y8 @ Y9))))))))) & 55.20/7.59 (( 55.20/7.59 (!!) @ ( 55.20/7.59 ^[Y8 : a]: 55.20/7.59 (( 55.20/7.59 (!!) @ ( 55.20/7.59 ^[Y9 : a]: 55.20/7.59 (( 55.20/7.59 (!!) @ ( 55.20/7.59 ^[Y10 : a]: 55.20/7.59 (( 55.20/7.59 (( 55.20/7.59 (Y7 @ 55.20/7.59 Y8 @ 55.20/7.59 Y9) & 55.20/7.59 (Y7 @ 55.20/7.59 Y9 @ Y10))) => 55.20/7.59 (Y7 @ 55.20/7.59 Y8 @ Y10)))))))))))))) => 55.20/7.59 (Y7 @ 55.20/7.59 Y4 @ Y5)))))) & 55.20/7.59 (( 55.20/7.59 (!!) @ ( 55.20/7.59 ^[Y7 : 55.20/7.59 a > a > $o]: 55.20/7.59 (( 55.20/7.59 (( 55.20/7.59 (( 55.20/7.59 (!!) @ ( 55.20/7.59 ^[Y8 : a]: 55.20/7.59 (( 55.20/7.59 (!!) @ ( 55.20/7.59 ^[Y9 : a]: 55.20/7.59 (( 55.20/7.59 (( 55.20/7.59 (Y0 @ 55.20/7.59 Y8 @ 55.20/7.59 Y9) | 55.20/7.59 (Y1 @ 55.20/7.59 Y8 @ Y9))) => 55.20/7.59 (Y7 @ 55.20/7.59 Y8 @ Y9))))))))) & 55.20/7.59 (( 55.20/7.59 (!!) @ ( 55.20/7.59 ^[Y8 : a]: 55.20/7.59 (( 55.20/7.59 (!!) @ ( 55.20/7.59 ^[Y9 : a]: 55.20/7.59 (( 55.20/7.59 (!!) @ ( 55.20/7.59 ^[Y10 : a]: 55.20/7.59 (( 55.20/7.59 (( 55.20/7.59 (Y7 @ 55.20/7.59 Y8 @ 55.20/7.59 Y9) & 55.20/7.59 (Y7 @ 55.20/7.59 Y9 @ Y10))) => 55.20/7.59 (Y7 @ 55.20/7.59 Y8 @ Y10)))))))))))))) => 55.20/7.59 (Y7 @ 55.20/7.59 Y5 @ Y6)))))))) => 55.20/7.59 (( 55.20/7.59 (!!) @ ( 55.20/7.59 ^[Y7 : 55.20/7.59 a > a > $o]: 55.20/7.59 (( 55.20/7.59 (( 55.20/7.59 (( 55.20/7.59 (!!) @ ( 55.20/7.59 ^[Y8 : a]: 55.20/7.59 (( 55.20/7.59 (!!) @ ( 55.20/7.59 ^[Y9 : a]: 55.20/7.59 (( 55.20/7.59 (!!) @ ( 55.20/7.59 ^[Y10 : a]: 55.20/7.59 (( 55.20/7.59 (( 55.20/7.59 (Y7 @ 55.20/7.59 Y9 @ 55.20/7.59 Y10) & 55.20/7.59 (Y7 @ 55.20/7.59 Y8 @ Y9))) => 55.20/7.59 (Y7 @ 55.20/7.59 Y8 @ Y10)))))))))))) & 55.20/7.59 (( 55.20/7.59 (!!) @ ( 55.20/7.59 ^[Y8 : a]: 55.20/7.59 (( 55.20/7.59 (!!) @ ( 55.20/7.59 ^[Y9 : a]: 55.20/7.59 (( 55.20/7.59 (( 55.20/7.59 (Y0 @ 55.20/7.59 Y8 @ 55.20/7.59 Y9) | 55.20/7.59 (Y1 @ 55.20/7.59 Y8 @ Y9))) => 55.20/7.59 (Y7 @ 55.20/7.59 Y8 @ Y9))))))))))) => 55.20/7.59 (Y7 @ 55.20/7.59 Y4 @ Y6))))))))))))))))) & 55.20/7.59 (((!!) @ ( 55.20/7.59 ^[Y4 : a]: 55.20/7.59 (((!!) @ ( 55.20/7.59 ^[Y5 : a]: 55.20/7.59 (( 55.20/7.59 (( 55.20/7.59 (( 55.20/7.59 (!!) @ ( 55.20/7.59 ^[Y6 : 55.20/7.59 a > a > $o]: 55.20/7.59 (( 55.20/7.59 (( 55.20/7.59 (( 55.20/7.59 (!!) @ ( 55.20/7.59 ^[Y7 : a]: 55.20/7.59 (( 55.20/7.59 (!!) @ ( 55.20/7.59 ^[Y8 : a]: 55.20/7.59 (( 55.20/7.59 (!!) @ ( 55.20/7.59 ^[Y9 : a]: 55.20/7.59 (( 55.20/7.59 (( 55.20/7.59 (Y6 @ 55.20/7.59 Y7 @ 55.20/7.59 Y8) & 55.20/7.59 (Y6 @ 55.20/7.59 Y8 @ Y9))) => 55.20/7.59 (Y6 @ 55.20/7.59 Y7 @ Y9)))))))))))) & 55.20/7.59 (( 55.20/7.59 (!!) @ ( 55.20/7.59 ^[Y7 : a]: 55.20/7.59 (( 55.20/7.59 (!!) @ ( 55.20/7.59 ^[Y8 : a]: 55.20/7.59 (( 55.20/7.59 (Y1 @ 55.20/7.59 Y7 @ 55.20/7.59 Y8) => 55.20/7.59 (Y6 @ 55.20/7.59 Y7 @ Y8))))))))))) => 55.20/7.59 (Y6 @ 55.20/7.59 Y4 @ Y5)))))) | 55.20/7.59 (( 55.20/7.59 (!!) @ ( 55.20/7.59 ^[Y6 : 55.20/7.59 a > a > $o]: 55.20/7.59 (( 55.20/7.59 (( 55.20/7.59 (( 55.20/7.59 (!!) @ ( 55.20/7.59 ^[Y7 : a]: 55.20/7.59 (( 55.20/7.59 (!!) @ ( 55.20/7.59 ^[Y8 : a]: 55.20/7.59 (( 55.20/7.59 (!!) @ ( 55.20/7.59 ^[Y9 : a]: 55.20/7.59 (( 55.20/7.59 (( 55.20/7.59 (Y6 @ 55.20/7.59 Y7 @ 55.20/7.59 Y8) & 55.20/7.59 (Y6 @ 55.20/7.59 Y8 @ Y9))) => 55.20/7.59 (Y6 @ 55.20/7.59 Y7 @ Y9)))))))))))) & 55.20/7.59 (( 55.20/7.59 (!!) @ ( 55.20/7.59 ^[Y7 : a]: 55.20/7.59 (( 55.20/7.59 (!!) @ ( 55.20/7.59 ^[Y8 : a]: 55.20/7.59 (( 55.20/7.59 (Y0 @ 55.20/7.59 Y7 @ 55.20/7.59 Y8) => 55.20/7.59 (Y6 @ 55.20/7.59 Y7 @ Y8))))))))))) => 55.20/7.59 (Y6 @ 55.20/7.59 Y4 @ Y5)))))))) => 55.20/7.59 (( 55.20/7.59 (!!) @ ( 55.20/7.59 ^[Y6 : 55.20/7.59 a > a > $o]: 55.20/7.59 (( 55.20/7.59 (( 55.20/7.59 (( 55.20/7.59 (!!) @ ( 55.20/7.59 ^[Y7 : a]: 55.20/7.59 (( 55.20/7.59 (!!) @ ( 55.20/7.59 ^[Y8 : a]: 55.20/7.59 (( 55.20/7.59 (( 55.20/7.59 (Y1 @ 55.20/7.59 Y7 @ 55.20/7.59 Y8) | 55.20/7.59 (Y0 @ 55.20/7.59 Y7 @ Y8))) => 55.20/7.59 (Y6 @ 55.20/7.59 Y7 @ Y8))))))))) & 55.20/7.59 (( 55.20/7.59 (!!) @ ( 55.20/7.59 ^[Y7 : a]: 55.20/7.59 (( 55.20/7.59 (!!) @ ( 55.20/7.59 ^[Y8 : a]: 55.20/7.59 (( 55.20/7.59 (!!) @ ( 55.20/7.59 ^[Y9 : a]: 55.20/7.59 (( 55.20/7.59 (( 55.20/7.59 (Y6 @ 55.20/7.59 Y7 @ 55.20/7.59 Y8) & 55.20/7.59 (Y6 @ 55.20/7.59 Y8 @ Y9))) => 55.20/7.59 (Y6 @ 55.20/7.59 Y7 @ Y9)))))))))))))) => 55.20/7.59 (Y6 @ 55.20/7.59 Y4 @ Y5)))))))))))))) & 55.20/7.59 (((~) @ (( 55.20/7.59 (!!) @ ( 55.20/7.59 ^[Y4 : 55.20/7.59 a > a > $o]: 55.20/7.59 (( 55.20/7.59 (( 55.20/7.59 (( 55.20/7.59 (!!) @ ( 55.20/7.59 ^[Y5 : a]: 55.20/7.59 (( 55.20/7.59 (!!) @ ( 55.20/7.59 ^[Y6 : a]: 55.20/7.59 (( 55.20/7.59 (( 55.20/7.59 (Y0 @ 55.20/7.59 Y5 @ 55.20/7.59 Y6) | 55.20/7.59 (Y1 @ 55.20/7.59 Y5 @ Y6))) => 55.20/7.59 (Y4 @ 55.20/7.59 Y5 @ Y6))))))))) & 55.20/7.59 (( 55.20/7.59 (!!) @ ( 55.20/7.59 ^[Y5 : a]: 55.20/7.59 (( 55.20/7.59 (!!) @ ( 55.20/7.59 ^[Y6 : a]: 55.20/7.59 (( 55.20/7.59 (!!) @ ( 55.20/7.59 ^[Y7 : a]: 55.20/7.59 (( 55.20/7.59 (( 55.20/7.59 (Y4 @ 55.20/7.59 Y5 @ 55.20/7.59 Y6) & 55.20/7.59 (Y4 @ 55.20/7.59 Y6 @ Y7))) => 55.20/7.59 (Y4 @ 55.20/7.59 Y5 @ Y7)))))))))))))) => 55.20/7.59 (Y4 @ 55.20/7.59 Y2 @ Y3)))))))))) | 55.20/7.59 (((!!) @ (^[Y4 : 55.20/7.59 a > a > $o]: 55.20/7.59 (( 55.20/7.59 (( 55.20/7.59 (( 55.20/7.59 (!!) @ ( 55.20/7.59 ^[Y5 : a]: 55.20/7.59 (( 55.20/7.59 (!!) @ ( 55.20/7.59 ^[Y6 : a]: 55.20/7.59 (( 55.20/7.59 (!!) @ ( 55.20/7.59 ^[Y7 : a]: 55.20/7.59 (( 55.20/7.59 (( 55.20/7.59 (Y4 @ 55.20/7.59 Y5 @ 55.20/7.59 Y6) & 55.20/7.59 (Y4 @ 55.20/7.59 Y6 @ Y7))) => 55.20/7.59 (Y4 @ 55.20/7.59 Y5 @ Y7)))))))))))) & 55.20/7.59 (( 55.20/7.59 (!!) @ ( 55.20/7.59 ^[Y5 : a]: 55.20/7.59 (( 55.20/7.59 (!!) @ ( 55.20/7.59 ^[Y6 : a]: 55.20/7.59 (( 55.20/7.59 (( 55.20/7.59 (Y0 @ 55.20/7.59 Y5 @ 55.20/7.59 Y6) | 55.20/7.59 (Y1 @ 55.20/7.59 Y5 @ Y6))) => 55.20/7.59 (Y4 @ 55.20/7.59 Y5 @ Y6))))))))))) => 55.20/7.59 (Y4 @ 55.20/7.59 Y2 @ Y3))))))))))))))))))))), 55.20/7.59 inference('cnf', [status(esa)], [zf_stmt_0])). 55.20/7.59 thf(zip_derived_cl1, plain, 55.20/7.59 (~ (((!!) @ (^[Y0 : a > a > $o]: 55.20/7.59 (((!!) @ (^[Y1 : a]: 55.20/7.59 (((!!) @ (^[Y2 : a]: 55.20/7.59 (((((((!!) @ (^[Y3 : a]: 55.20/7.59 (((!!) @ ( 55.20/7.59 ^[Y4 : a]: 55.20/7.59 (((!!) @ ( 55.20/7.59 ^[Y5 : a]: 55.20/7.59 (( 55.20/7.59 (( 55.20/7.59 (( 55.20/7.59 (!!) @ ( 55.20/7.59 ^[Y6 : 55.20/7.59 a > a > $o]: 55.20/7.59 (( 55.20/7.59 (( 55.20/7.59 (( 55.20/7.59 (!!) @ ( 55.20/7.59 ^[Y7 : a]: 55.20/7.59 (( 55.20/7.59 (!!) @ ( 55.20/7.59 ^[Y8 : a]: 55.20/7.59 (( 55.20/7.59 (( 55.20/7.59 (Y0 @ 55.20/7.59 Y7 @ 55.20/7.59 Y8) | 55.20/7.59 ('#sk1' @ 55.20/7.59 Y7 @ Y8))) => 55.20/7.59 (Y6 @ 55.20/7.59 Y7 @ Y8))))))))) & 55.20/7.59 (( 55.20/7.59 (!!) @ ( 55.20/7.59 ^[Y7 : a]: 55.20/7.59 (( 55.20/7.59 (!!) @ ( 55.20/7.59 ^[Y8 : a]: 55.20/7.59 (( 55.20/7.59 (!!) @ ( 55.20/7.59 ^[Y9 : a]: 55.20/7.59 (( 55.20/7.59 (( 55.20/7.59 (Y6 @ 55.20/7.59 Y7 @ 55.20/7.59 Y8) & 55.20/7.59 (Y6 @ 55.20/7.59 Y8 @ Y9))) => 55.20/7.59 (Y6 @ 55.20/7.59 Y7 @ Y9)))))))))))))) => 55.20/7.59 (Y6 @ 55.20/7.59 Y3 @ Y4)))))) & 55.20/7.59 (( 55.20/7.59 (!!) @ ( 55.20/7.59 ^[Y6 : 55.20/7.59 a > a > $o]: 55.20/7.59 (( 55.20/7.59 (( 55.20/7.59 (( 55.20/7.59 (!!) @ ( 55.20/7.59 ^[Y7 : a]: 55.20/7.59 (( 55.20/7.59 (!!) @ ( 55.20/7.59 ^[Y8 : a]: 55.20/7.59 (( 55.20/7.59 (( 55.20/7.59 ('#sk1' @ 55.20/7.59 Y7 @ 55.20/7.59 Y8) | 55.20/7.59 (Y0 @ 55.20/7.59 Y7 @ Y8))) => 55.20/7.59 (Y6 @ 55.20/7.59 Y7 @ Y8))))))))) & 55.20/7.59 (( 55.20/7.59 (!!) @ ( 55.20/7.59 ^[Y7 : a]: 55.20/7.59 (( 55.20/7.59 (!!) @ ( 55.20/7.59 ^[Y8 : a]: 55.20/7.59 (( 55.20/7.59 (!!) @ ( 55.20/7.59 ^[Y9 : a]: 55.20/7.59 (( 55.20/7.59 (( 55.20/7.59 (Y6 @ 55.20/7.59 Y7 @ 55.20/7.59 Y8) & 55.20/7.59 (Y6 @ 55.20/7.59 Y8 @ Y9))) => 55.20/7.59 (Y6 @ 55.20/7.59 Y7 @ Y9)))))))))))))) => 55.20/7.59 (Y6 @ 55.20/7.59 Y4 @ Y5)))))))) => 55.20/7.59 (( 55.20/7.59 (!!) @ ( 55.20/7.59 ^[Y6 : 55.20/7.59 a > a > $o]: 55.20/7.59 (( 55.20/7.59 (( 55.20/7.59 (( 55.20/7.59 (!!) @ ( 55.20/7.59 ^[Y7 : a]: 55.20/7.59 (( 55.20/7.59 (!!) @ ( 55.20/7.59 ^[Y8 : a]: 55.20/7.59 (( 55.20/7.59 (!!) @ ( 55.20/7.59 ^[Y9 : a]: 55.20/7.59 (( 55.20/7.59 (( 55.20/7.59 (Y6 @ 55.20/7.59 Y8 @ 55.20/7.59 Y9) & 55.20/7.59 (Y6 @ 55.20/7.59 Y7 @ Y8))) => 55.20/7.59 (Y6 @ 55.20/7.59 Y7 @ Y9)))))))))))) & 55.20/7.59 (( 55.20/7.59 (!!) @ ( 55.20/7.59 ^[Y7 : a]: 55.20/7.59 (( 55.20/7.59 (!!) @ ( 55.20/7.59 ^[Y8 : a]: 55.20/7.59 (( 55.20/7.59 (( 55.20/7.59 ('#sk1' @ 55.20/7.59 Y7 @ 55.20/7.59 Y8) | 55.20/7.59 (Y0 @ 55.20/7.59 Y7 @ Y8))) => 55.20/7.59 (Y6 @ 55.20/7.59 Y7 @ Y8))))))))))) => 55.20/7.59 (Y6 @ 55.20/7.59 Y3 @ Y5))))))))))))))))) & 55.20/7.59 (((!!) @ (^[Y3 : a]: 55.20/7.59 (((!!) @ ( 55.20/7.59 ^[Y4 : a]: 55.20/7.59 (((((( 55.20/7.59 (!!) @ ( 55.20/7.59 ^[Y5 : 55.20/7.59 a > a > $o]: 55.20/7.59 (( 55.20/7.59 (( 55.20/7.59 (( 55.20/7.59 (!!) @ ( 55.20/7.59 ^[Y6 : a]: 55.20/7.59 (( 55.20/7.59 (!!) @ ( 55.20/7.59 ^[Y7 : a]: 55.20/7.59 (( 55.20/7.59 (!!) @ ( 55.20/7.59 ^[Y8 : a]: 55.20/7.59 (( 55.20/7.59 (( 55.20/7.59 (Y5 @ 55.20/7.59 Y6 @ 55.20/7.59 Y7) & 55.20/7.59 (Y5 @ 55.20/7.59 Y7 @ Y8))) => 55.20/7.59 (Y5 @ 55.20/7.59 Y6 @ Y8)))))))))))) & 55.20/7.59 (( 55.20/7.59 (!!) @ ( 55.20/7.59 ^[Y6 : a]: 55.20/7.59 (( 55.20/7.59 (!!) @ ( 55.20/7.59 ^[Y7 : a]: 55.20/7.59 (( 55.20/7.59 (Y0 @ 55.20/7.59 Y6 @ 55.20/7.59 Y7) => 55.20/7.59 (Y5 @ 55.20/7.59 Y6 @ Y7))))))))))) => 55.20/7.59 (Y5 @ 55.20/7.59 Y3 @ Y4)))))) | 55.20/7.59 (( 55.20/7.59 (!!) @ ( 55.20/7.59 ^[Y5 : 55.20/7.59 a > a > $o]: 55.20/7.59 (( 55.20/7.59 (( 55.20/7.59 (( 55.20/7.59 (!!) @ ( 55.20/7.59 ^[Y6 : a]: 55.20/7.59 (( 55.20/7.59 (!!) @ ( 55.20/7.59 ^[Y7 : a]: 55.20/7.59 (( 55.20/7.59 (!!) @ ( 55.20/7.59 ^[Y8 : a]: 55.20/7.59 (( 55.20/7.59 (( 55.20/7.59 (Y5 @ 55.20/7.59 Y6 @ 55.20/7.59 Y7) & 55.20/7.59 (Y5 @ 55.20/7.59 Y7 @ Y8))) => 55.20/7.59 (Y5 @ 55.20/7.59 Y6 @ Y8)))))))))))) & 55.20/7.59 (( 55.20/7.59 (!!) @ ( 55.20/7.59 ^[Y6 : a]: 55.20/7.59 (( 55.20/7.59 (!!) @ ( 55.20/7.59 ^[Y7 : a]: 55.20/7.59 (( 55.20/7.59 ('#sk1' @ 55.20/7.59 Y6 @ 55.20/7.59 Y7) => 55.20/7.59 (Y5 @ 55.20/7.59 Y6 @ Y7))))))))))) => 55.20/7.59 (Y5 @ 55.20/7.59 Y3 @ Y4)))))))) => 55.20/7.59 (((!!) @ ( 55.20/7.59 ^[Y5 : 55.20/7.59 a > a > $o]: 55.20/7.59 (( 55.20/7.59 (( 55.20/7.59 (( 55.20/7.59 (!!) @ ( 55.20/7.59 ^[Y6 : a]: 55.20/7.59 (( 55.20/7.59 (!!) @ ( 55.20/7.59 ^[Y7 : a]: 55.20/7.59 (( 55.20/7.59 (( 55.20/7.59 (Y0 @ 55.20/7.59 Y6 @ 55.20/7.59 Y7) | 55.20/7.59 ('#sk1' @ 55.20/7.59 Y6 @ Y7))) => 55.20/7.59 (Y5 @ 55.20/7.59 Y6 @ Y7))))))))) & 55.20/7.59 (( 55.20/7.59 (!!) @ ( 55.20/7.59 ^[Y6 : a]: 55.20/7.59 (( 55.20/7.59 (!!) @ ( 55.20/7.59 ^[Y7 : a]: 55.20/7.59 (( 55.20/7.59 (!!) @ ( 55.20/7.59 ^[Y8 : a]: 55.20/7.59 (( 55.20/7.59 (( 55.20/7.59 (Y5 @ 55.20/7.59 Y6 @ 55.20/7.59 Y7) & 55.20/7.59 (Y5 @ 55.20/7.59 Y7 @ Y8))) => 55.20/7.59 (Y5 @ 55.20/7.59 Y6 @ Y8)))))))))))))) => 55.20/7.59 (Y5 @ 55.20/7.59 Y3 @ Y4)))))))))))))) & 55.20/7.59 (((~) @ (((!!) @ (^[Y3 : 55.20/7.59 a > a > $o]: 55.20/7.59 (( 55.20/7.59 (( 55.20/7.59 (( 55.20/7.59 (!!) @ ( 55.20/7.59 ^[Y4 : a]: 55.20/7.59 (( 55.20/7.59 (!!) @ ( 55.20/7.59 ^[Y5 : a]: 55.20/7.59 (( 55.20/7.59 (( 55.20/7.59 ('#sk1' @ 55.20/7.59 Y4 @ 55.20/7.59 Y5) | 55.20/7.59 (Y0 @ 55.20/7.59 Y4 @ Y5))) => 55.20/7.59 (Y3 @ 55.20/7.59 Y4 @ Y5))))))))) & 55.20/7.59 (( 55.20/7.59 (!!) @ ( 55.20/7.59 ^[Y4 : a]: 55.20/7.59 (( 55.20/7.59 (!!) @ ( 55.20/7.59 ^[Y5 : a]: 55.20/7.59 (( 55.20/7.59 (!!) @ ( 55.20/7.59 ^[Y6 : a]: 55.20/7.59 (( 55.20/7.59 (( 55.20/7.59 (Y3 @ 55.20/7.59 Y4 @ 55.20/7.59 Y5) & 55.20/7.59 (Y3 @ 55.20/7.59 Y5 @ Y6))) => 55.20/7.59 (Y3 @ 55.20/7.59 Y4 @ Y6)))))))))))))) => 55.20/7.59 (Y3 @ 55.20/7.59 Y1 @ Y2)))))))))) | 55.20/7.59 (((!!) @ (^[Y3 : a > a > $o]: 55.20/7.59 (((((((!!) @ ( 55.20/7.59 ^[Y4 : a]: 55.20/7.59 (((!!) @ ( 55.20/7.59 ^[Y5 : a]: 55.20/7.59 (( 55.20/7.59 (!!) @ ( 55.20/7.59 ^[Y6 : a]: 55.20/7.59 (( 55.20/7.59 (( 55.20/7.59 (Y3 @ 55.20/7.59 Y4 @ 55.20/7.59 Y5) & 55.20/7.59 (Y3 @ 55.20/7.59 Y5 @ Y6))) => 55.20/7.59 (Y3 @ 55.20/7.59 Y4 @ Y6)))))))))))) & 55.20/7.59 (((!!) @ ( 55.20/7.59 ^[Y4 : a]: 55.20/7.59 (((!!) @ ( 55.20/7.59 ^[Y5 : a]: 55.20/7.59 (( 55.20/7.59 (( 55.20/7.59 ('#sk1' @ 55.20/7.59 Y4 @ 55.20/7.59 Y5) | 55.20/7.59 (Y0 @ 55.20/7.59 Y4 @ Y5))) => 55.20/7.59 (Y3 @ 55.20/7.59 Y4 @ Y5))))))))))) => 55.20/7.59 (Y3 @ Y1 @ Y2)))))))))))))))))), 55.20/7.59 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl0])). 55.20/7.59 thf(zip_derived_cl2, plain, 55.20/7.59 (~ (((!!) @ (^[Y0 : a]: 55.20/7.59 (((!!) @ (^[Y1 : a]: 55.20/7.59 (((((((!!) @ (^[Y2 : a]: 55.20/7.59 (((!!) @ (^[Y3 : a]: 55.20/7.59 (((!!) @ ( 55.20/7.59 ^[Y4 : a]: 55.20/7.59 (((((( 55.20/7.59 (!!) @ ( 55.20/7.59 ^[Y5 : 55.20/7.59 a > a > $o]: 55.20/7.59 (( 55.20/7.59 (( 55.20/7.59 (( 55.20/7.59 (!!) @ ( 55.20/7.59 ^[Y6 : a]: 55.20/7.59 (( 55.20/7.59 (!!) @ ( 55.20/7.59 ^[Y7 : a]: 55.20/7.59 (( 55.20/7.59 (( 55.20/7.59 ('#sk2' @ 55.20/7.59 Y6 @ 55.20/7.59 Y7) | 55.20/7.59 ('#sk1' @ 55.20/7.59 Y6 @ Y7))) => 55.20/7.59 (Y5 @ 55.20/7.59 Y6 @ Y7))))))))) & 55.20/7.59 (( 55.20/7.59 (!!) @ ( 55.20/7.59 ^[Y6 : a]: 55.20/7.59 (( 55.20/7.59 (!!) @ ( 55.20/7.59 ^[Y7 : a]: 55.20/7.59 (( 55.20/7.59 (!!) @ ( 55.20/7.59 ^[Y8 : a]: 55.20/7.59 (( 55.20/7.59 (( 55.20/7.59 (Y5 @ 55.20/7.59 Y6 @ 55.20/7.59 Y7) & 55.20/7.59 (Y5 @ 55.20/7.59 Y7 @ Y8))) => 55.20/7.59 (Y5 @ 55.20/7.59 Y6 @ Y8)))))))))))))) => 55.20/7.59 (Y5 @ 55.20/7.59 Y2 @ Y3)))))) & 55.20/7.59 (( 55.20/7.59 (!!) @ ( 55.20/7.59 ^[Y5 : 55.20/7.59 a > a > $o]: 55.20/7.59 (( 55.20/7.59 (( 55.20/7.59 (( 55.20/7.59 (!!) @ ( 55.20/7.59 ^[Y6 : a]: 55.20/7.59 (( 55.20/7.59 (!!) @ ( 55.20/7.59 ^[Y7 : a]: 55.20/7.59 (( 55.20/7.59 (( 55.20/7.59 ('#sk1' @ 55.20/7.59 Y6 @ 55.20/7.59 Y7) | 55.20/7.59 ('#sk2' @ 55.20/7.59 Y6 @ Y7))) => 55.20/7.59 (Y5 @ 55.20/7.59 Y6 @ Y7))))))))) & 55.20/7.59 (( 55.20/7.59 (!!) @ ( 55.20/7.59 ^[Y6 : a]: 55.20/7.59 (( 55.20/7.59 (!!) @ ( 55.20/7.59 ^[Y7 : a]: 55.20/7.59 (( 55.20/7.59 (!!) @ ( 55.20/7.59 ^[Y8 : a]: 55.20/7.59 (( 55.20/7.59 (( 55.20/7.59 (Y5 @ 55.20/7.59 Y6 @ 55.20/7.59 Y7) & 55.20/7.59 (Y5 @ 55.20/7.59 Y7 @ Y8))) => 55.20/7.59 (Y5 @ 55.20/7.59 Y6 @ Y8)))))))))))))) => 55.20/7.59 (Y5 @ 55.20/7.59 Y3 @ Y4)))))))) => 55.20/7.59 (((!!) @ ( 55.20/7.59 ^[Y5 : 55.20/7.59 a > a > $o]: 55.20/7.59 (( 55.20/7.59 (( 55.20/7.59 (( 55.20/7.59 (!!) @ ( 55.20/7.59 ^[Y6 : a]: 55.20/7.59 (( 55.20/7.59 (!!) @ ( 55.20/7.59 ^[Y7 : a]: 55.20/7.59 (( 55.20/7.59 (!!) @ ( 55.20/7.59 ^[Y8 : a]: 55.20/7.59 (( 55.20/7.59 (( 55.20/7.59 (Y5 @ 55.20/7.59 Y7 @ 55.20/7.59 Y8) & 55.20/7.59 (Y5 @ 55.20/7.59 Y6 @ Y7))) => 55.20/7.59 (Y5 @ 55.20/7.59 Y6 @ Y8)))))))))))) & 55.20/7.59 (( 55.20/7.59 (!!) @ ( 55.20/7.59 ^[Y6 : a]: 55.20/7.59 (( 55.20/7.59 (!!) @ ( 55.20/7.59 ^[Y7 : a]: 55.20/7.59 (( 55.20/7.59 (( 55.20/7.59 ('#sk1' @ 55.20/7.59 Y6 @ 55.20/7.59 Y7) | 55.20/7.59 ('#sk2' @ 55.20/7.59 Y6 @ Y7))) => 55.20/7.59 (Y5 @ 55.20/7.59 Y6 @ Y7))))))))))) => 55.20/7.59 (Y5 @ 55.20/7.59 Y2 @ Y4))))))))))))))))) & 55.20/7.59 (((!!) @ (^[Y2 : a]: 55.20/7.59 (((!!) @ (^[Y3 : a]: 55.20/7.59 (((((((!!) @ ( 55.20/7.59 ^[Y4 : 55.20/7.59 a > a > $o]: 55.20/7.59 (( 55.20/7.59 (( 55.20/7.59 (( 55.20/7.59 (!!) @ ( 55.20/7.59 ^[Y5 : a]: 55.20/7.59 (( 55.20/7.59 (!!) @ ( 55.20/7.59 ^[Y6 : a]: 55.20/7.59 (( 55.20/7.59 (!!) @ ( 55.20/7.59 ^[Y7 : a]: 55.20/7.59 (( 55.20/7.59 (( 55.20/7.59 (Y4 @ 55.20/7.59 Y5 @ 55.20/7.59 Y6) & 55.20/7.59 (Y4 @ 55.20/7.59 Y6 @ Y7))) => 55.20/7.59 (Y4 @ 55.20/7.59 Y5 @ Y7)))))))))))) & 55.20/7.59 (( 55.20/7.59 (!!) @ ( 55.20/7.59 ^[Y5 : a]: 55.20/7.59 (( 55.20/7.59 (!!) @ ( 55.20/7.59 ^[Y6 : a]: 55.20/7.59 (( 55.20/7.59 ('#sk2' @ 55.20/7.59 Y5 @ 55.20/7.59 Y6) => 55.20/7.59 (Y4 @ 55.20/7.59 Y5 @ Y6))))))))))) => 55.20/7.59 (Y4 @ 55.20/7.59 Y2 @ Y3)))))) | 55.20/7.59 (((!!) @ ( 55.20/7.59 ^[Y4 : 55.20/7.59 a > a > $o]: 55.20/7.59 (( 55.20/7.59 (( 55.20/7.59 (( 55.20/7.59 (!!) @ ( 55.20/7.59 ^[Y5 : a]: 55.20/7.59 (( 55.20/7.59 (!!) @ ( 55.20/7.59 ^[Y6 : a]: 55.20/7.59 (( 55.20/7.59 (!!) @ ( 55.20/7.59 ^[Y7 : a]: 55.20/7.59 (( 55.20/7.59 (( 55.20/7.59 (Y4 @ 55.20/7.59 Y5 @ 55.20/7.59 Y6) & 55.20/7.59 (Y4 @ 55.20/7.59 Y6 @ Y7))) => 55.20/7.59 (Y4 @ 55.20/7.59 Y5 @ Y7)))))))))))) & 55.20/7.59 (( 55.20/7.59 (!!) @ ( 55.20/7.59 ^[Y5 : a]: 55.20/7.59 (( 55.20/7.59 (!!) @ ( 55.20/7.59 ^[Y6 : a]: 55.20/7.59 (( 55.20/7.59 ('#sk1' @ 55.20/7.59 Y5 @ 55.20/7.59 Y6) => 55.20/7.59 (Y4 @ 55.20/7.59 Y5 @ Y6))))))))))) => 55.20/7.59 (Y4 @ 55.20/7.59 Y2 @ Y3)))))))) => 55.20/7.59 (((!!) @ ( 55.20/7.59 ^[Y4 : 55.20/7.59 a > a > $o]: 55.20/7.59 (((( 55.20/7.59 (( 55.20/7.59 (!!) @ ( 55.20/7.59 ^[Y5 : a]: 55.20/7.59 (( 55.20/7.59 (!!) @ ( 55.20/7.59 ^[Y6 : a]: 55.20/7.59 (( 55.20/7.59 (( 55.20/7.59 ('#sk2' @ 55.20/7.59 Y5 @ 55.20/7.59 Y6) | 55.20/7.59 ('#sk1' @ 55.20/7.59 Y5 @ Y6))) => 55.20/7.59 (Y4 @ 55.20/7.59 Y5 @ Y6))))))))) & 55.20/7.59 (( 55.20/7.59 (!!) @ ( 55.20/7.59 ^[Y5 : a]: 55.20/7.59 (( 55.20/7.59 (!!) @ ( 55.20/7.59 ^[Y6 : a]: 55.20/7.59 (( 55.20/7.59 (!!) @ ( 55.20/7.59 ^[Y7 : a]: 55.20/7.59 (( 55.20/7.59 (( 55.20/7.59 (Y4 @ 55.20/7.59 Y5 @ 55.20/7.59 Y6) & 55.20/7.59 (Y4 @ 55.20/7.59 Y6 @ Y7))) => 55.20/7.59 (Y4 @ 55.20/7.59 Y5 @ Y7)))))))))))))) => 55.20/7.59 (Y4 @ 55.20/7.59 Y2 @ Y3)))))))))))))) & 55.20/7.59 (((~) @ (((!!) @ (^[Y2 : a > a > $o]: 55.20/7.59 (((((((!!) @ ( 55.20/7.59 ^[Y3 : a]: 55.20/7.59 (((!!) @ ( 55.20/7.59 ^[Y4 : a]: 55.20/7.59 (( 55.20/7.59 (( 55.20/7.59 ('#sk1' @ 55.20/7.59 Y3 @ 55.20/7.59 Y4) | 55.20/7.59 ('#sk2' @ 55.20/7.59 Y3 @ Y4))) => 55.20/7.59 (Y2 @ 55.20/7.59 Y3 @ Y4))))))))) & 55.20/7.59 (((!!) @ ( 55.20/7.59 ^[Y3 : a]: 55.20/7.59 (((!!) @ ( 55.20/7.59 ^[Y4 : a]: 55.20/7.59 (( 55.20/7.59 (!!) @ ( 55.20/7.59 ^[Y5 : a]: 55.20/7.59 (( 55.20/7.59 (( 55.20/7.59 (Y2 @ 55.20/7.59 Y3 @ 55.20/7.59 Y4) & 55.20/7.59 (Y2 @ 55.20/7.59 Y4 @ Y5))) => 55.20/7.59 (Y2 @ 55.20/7.59 Y3 @ Y5)))))))))))))) => 55.20/7.59 (Y2 @ Y0 @ Y1)))))))))) | 55.20/7.59 (((!!) @ (^[Y2 : a > a > $o]: 55.20/7.59 (((((((!!) @ (^[Y3 : a]: 55.20/7.59 (((!!) @ ( 55.20/7.59 ^[Y4 : a]: 55.20/7.59 (((!!) @ ( 55.20/7.59 ^[Y5 : a]: 55.20/7.59 (( 55.20/7.59 (( 55.20/7.59 (Y2 @ 55.20/7.59 Y3 @ 55.20/7.59 Y4) & 55.20/7.59 (Y2 @ 55.20/7.59 Y4 @ Y5))) => 55.20/7.59 (Y2 @ 55.20/7.59 Y3 @ Y5)))))))))))) & 55.20/7.59 (((!!) @ (^[Y3 : a]: 55.20/7.59 (((!!) @ ( 55.20/7.59 ^[Y4 : a]: 55.20/7.59 (((( 55.20/7.59 ('#sk1' @ 55.20/7.59 Y3 @ Y4) | 55.20/7.59 ('#sk2' @ 55.20/7.59 Y3 @ Y4))) => 55.20/7.59 (Y2 @ 55.20/7.59 Y3 @ Y4))))))))))) => 55.20/7.59 (Y2 @ Y0 @ Y1))))))))))))))), 55.20/7.59 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl1])). 55.20/7.59 thf(zip_derived_cl3, plain, 55.20/7.59 (~ (((!!) @ (^[Y0 : a]: 55.20/7.59 (((((((!!) @ (^[Y1 : a]: 55.20/7.59 (((!!) @ (^[Y2 : a]: 55.20/7.59 (((!!) @ (^[Y3 : a]: 55.20/7.59 (((((((!!) @ ( 55.20/7.59 ^[Y4 : 55.20/7.59 a > a > $o]: 55.20/7.59 (( 55.20/7.59 (( 55.20/7.59 (( 55.20/7.59 (!!) @ ( 55.20/7.59 ^[Y5 : a]: 55.20/7.59 (( 55.20/7.59 (!!) @ ( 55.20/7.59 ^[Y6 : a]: 55.20/7.59 (( 55.20/7.59 (( 55.20/7.59 ('#sk2' @ 55.20/7.59 Y5 @ 55.20/7.59 Y6) | 55.20/7.59 ('#sk1' @ 55.20/7.59 Y5 @ Y6))) => 55.20/7.59 (Y4 @ 55.20/7.59 Y5 @ Y6))))))))) & 55.20/7.59 (( 55.20/7.59 (!!) @ ( 55.20/7.59 ^[Y5 : a]: 55.20/7.59 (( 55.20/7.59 (!!) @ ( 55.20/7.59 ^[Y6 : a]: 55.20/7.59 (( 55.20/7.59 (!!) @ ( 55.20/7.59 ^[Y7 : a]: 55.20/7.59 (( 55.20/7.59 (( 55.20/7.59 (Y4 @ 55.20/7.59 Y5 @ 55.20/7.59 Y6) & 55.20/7.59 (Y4 @ 55.20/7.59 Y6 @ Y7))) => 55.20/7.59 (Y4 @ 55.20/7.59 Y5 @ Y7)))))))))))))) => 55.20/7.59 (Y4 @ 55.20/7.59 Y1 @ Y2)))))) & 55.20/7.59 (((!!) @ ( 55.20/7.59 ^[Y4 : 55.20/7.59 a > a > $o]: 55.20/7.59 (( 55.20/7.59 (( 55.20/7.59 (( 55.20/7.59 (!!) @ ( 55.20/7.59 ^[Y5 : a]: 55.20/7.59 (( 55.20/7.59 (!!) @ ( 55.20/7.59 ^[Y6 : a]: 55.20/7.59 (( 55.20/7.59 (( 55.20/7.59 ('#sk1' @ 55.20/7.59 Y5 @ 55.20/7.59 Y6) | 55.20/7.59 ('#sk2' @ 55.20/7.59 Y5 @ Y6))) => 55.20/7.59 (Y4 @ 55.20/7.59 Y5 @ Y6))))))))) & 55.20/7.59 (( 55.20/7.59 (!!) @ ( 55.20/7.59 ^[Y5 : a]: 55.20/7.59 (( 55.20/7.59 (!!) @ ( 55.20/7.59 ^[Y6 : a]: 55.20/7.59 (( 55.20/7.59 (!!) @ ( 55.20/7.59 ^[Y7 : a]: 55.20/7.59 (( 55.20/7.59 (( 55.20/7.59 (Y4 @ 55.20/7.59 Y5 @ 55.20/7.59 Y6) & 55.20/7.59 (Y4 @ 55.20/7.59 Y6 @ Y7))) => 55.20/7.59 (Y4 @ 55.20/7.59 Y5 @ Y7)))))))))))))) => 55.20/7.59 (Y4 @ 55.20/7.59 Y2 @ Y3)))))))) => 55.20/7.59 (((!!) @ ( 55.20/7.59 ^[Y4 : 55.20/7.59 a > a > $o]: 55.20/7.59 (((( 55.20/7.59 (( 55.20/7.59 (!!) @ ( 55.20/7.59 ^[Y5 : a]: 55.20/7.59 (( 55.20/7.59 (!!) @ ( 55.20/7.59 ^[Y6 : a]: 55.20/7.59 (( 55.20/7.59 (!!) @ ( 55.20/7.59 ^[Y7 : a]: 55.20/7.59 (( 55.20/7.59 (( 55.20/7.59 (Y4 @ 55.20/7.59 Y6 @ 55.20/7.59 Y7) & 55.20/7.59 (Y4 @ 55.20/7.59 Y5 @ Y6))) => 55.20/7.59 (Y4 @ 55.20/7.59 Y5 @ Y7)))))))))))) & 55.20/7.59 (( 55.20/7.59 (!!) @ ( 55.20/7.59 ^[Y5 : a]: 55.20/7.59 (( 55.20/7.59 (!!) @ ( 55.20/7.59 ^[Y6 : a]: 55.20/7.59 (( 55.20/7.59 (( 55.20/7.59 ('#sk1' @ 55.20/7.59 Y5 @ 55.20/7.59 Y6) | 55.20/7.59 ('#sk2' @ 55.20/7.59 Y5 @ Y6))) => 55.20/7.59 (Y4 @ 55.20/7.59 Y5 @ Y6))))))))))) => 55.20/7.59 (Y4 @ 55.20/7.59 Y1 @ Y3))))))))))))))))) & 55.20/7.59 (((!!) @ (^[Y1 : a]: 55.20/7.59 (((!!) @ (^[Y2 : a]: 55.20/7.59 (((((((!!) @ (^[Y3 : a > a > $o]: 55.20/7.59 (((((( 55.20/7.59 (!!) @ ( 55.20/7.59 ^[Y4 : a]: 55.20/7.59 (( 55.20/7.59 (!!) @ ( 55.20/7.59 ^[Y5 : a]: 55.20/7.59 (( 55.20/7.59 (!!) @ ( 55.20/7.59 ^[Y6 : a]: 55.20/7.59 (( 55.20/7.59 (( 55.20/7.59 (Y3 @ 55.20/7.59 Y4 @ 55.20/7.59 Y5) & 55.20/7.59 (Y3 @ 55.20/7.59 Y5 @ Y6))) => 55.20/7.59 (Y3 @ 55.20/7.59 Y4 @ Y6)))))))))))) & 55.20/7.59 (( 55.20/7.59 (!!) @ ( 55.20/7.59 ^[Y4 : a]: 55.20/7.59 (( 55.20/7.59 (!!) @ ( 55.20/7.59 ^[Y5 : a]: 55.20/7.59 (( 55.20/7.59 ('#sk2' @ 55.20/7.59 Y4 @ 55.20/7.59 Y5) => 55.20/7.59 (Y3 @ 55.20/7.59 Y4 @ Y5))))))))))) => 55.20/7.59 (Y3 @ Y1 @ 55.20/7.59 Y2)))))) | 55.20/7.59 (((!!) @ (^[Y3 : a > a > $o]: 55.20/7.59 (((((( 55.20/7.59 (!!) @ ( 55.20/7.59 ^[Y4 : a]: 55.20/7.59 (( 55.20/7.59 (!!) @ ( 55.20/7.59 ^[Y5 : a]: 55.20/7.59 (( 55.20/7.59 (!!) @ ( 55.20/7.59 ^[Y6 : a]: 55.20/7.59 (( 55.20/7.59 (( 55.20/7.59 (Y3 @ 55.20/7.59 Y4 @ 55.20/7.59 Y5) & 55.20/7.59 (Y3 @ 55.20/7.59 Y5 @ Y6))) => 55.20/7.59 (Y3 @ 55.20/7.59 Y4 @ Y6)))))))))))) & 55.20/7.59 (( 55.20/7.59 (!!) @ ( 55.20/7.59 ^[Y4 : a]: 55.20/7.59 (( 55.20/7.59 (!!) @ ( 55.20/7.59 ^[Y5 : a]: 55.20/7.59 (( 55.20/7.59 ('#sk1' @ 55.20/7.59 Y4 @ 55.20/7.59 Y5) => 55.20/7.59 (Y3 @ 55.20/7.59 Y4 @ Y5))))))))))) => 55.20/7.59 (Y3 @ Y1 @ 55.20/7.59 Y2)))))))) => 55.20/7.59 (((!!) @ (^[Y3 : a > a > $o]: 55.20/7.59 (((((((!!) @ ( 55.20/7.59 ^[Y4 : a]: 55.20/7.59 (( 55.20/7.59 (!!) @ ( 55.20/7.59 ^[Y5 : a]: 55.20/7.59 (( 55.20/7.59 (( 55.20/7.59 ('#sk2' @ 55.20/7.59 Y4 @ 55.20/7.59 Y5) | 55.20/7.59 ('#sk1' @ 55.20/7.59 Y4 @ Y5))) => 55.20/7.59 (Y3 @ 55.20/7.59 Y4 @ Y5))))))))) & 55.20/7.59 (((!!) @ ( 55.20/7.59 ^[Y4 : a]: 55.20/7.59 (( 55.20/7.59 (!!) @ ( 55.20/7.59 ^[Y5 : a]: 55.20/7.59 (( 55.20/7.59 (!!) @ ( 55.20/7.59 ^[Y6 : a]: 55.20/7.59 (( 55.20/7.59 (( 55.20/7.59 (Y3 @ 55.20/7.59 Y4 @ 55.20/7.59 Y5) & 55.20/7.59 (Y3 @ 55.20/7.59 Y5 @ Y6))) => 55.20/7.59 (Y3 @ 55.20/7.59 Y4 @ Y6)))))))))))))) => 55.20/7.59 (Y3 @ Y1 @ Y2)))))))))))))) & 55.20/7.59 (((~) @ (((!!) @ (^[Y1 : a > a > $o]: 55.20/7.59 (((((((!!) @ (^[Y2 : a]: 55.20/7.59 (((!!) @ ( 55.20/7.59 ^[Y3 : a]: 55.20/7.59 ((((('#sk1' @ 55.20/7.59 Y2 @ Y3) | 55.20/7.59 ('#sk2' @ 55.20/7.59 Y2 @ Y3))) => 55.20/7.59 (Y1 @ Y2 @ 55.20/7.59 Y3))))))))) & 55.20/7.59 (((!!) @ (^[Y2 : a]: 55.20/7.59 (((!!) @ ( 55.20/7.59 ^[Y3 : a]: 55.20/7.59 (((!!) @ ( 55.20/7.59 ^[Y4 : a]: 55.20/7.59 (( 55.20/7.59 (( 55.20/7.59 (Y1 @ 55.20/7.59 Y2 @ 55.20/7.59 Y3) & 55.20/7.59 (Y1 @ 55.20/7.59 Y3 @ Y4))) => 55.20/7.59 (Y1 @ 55.20/7.59 Y2 @ Y4)))))))))))))) => 55.20/7.59 (Y1 @ '#sk3' @ Y0)))))))))) | 55.20/7.59 (((!!) @ (^[Y1 : a > a > $o]: 55.20/7.59 (((((((!!) @ (^[Y2 : a]: 55.20/7.59 (((!!) @ (^[Y3 : a]: 55.20/7.59 (((!!) @ ( 55.20/7.59 ^[Y4 : a]: 55.20/7.59 (((( 55.20/7.59 (Y1 @ 55.20/7.59 Y2 @ Y3) & 55.20/7.59 (Y1 @ 55.20/7.59 Y3 @ Y4))) => 55.20/7.59 (Y1 @ 55.20/7.59 Y2 @ Y4)))))))))))) & 55.20/7.59 (((!!) @ (^[Y2 : a]: 55.20/7.59 (((!!) @ (^[Y3 : a]: 55.20/7.59 ((((('#sk1' @ 55.20/7.59 Y2 @ Y3) | 55.20/7.59 ('#sk2' @ 55.20/7.59 Y2 @ Y3))) => 55.20/7.59 (Y1 @ Y2 @ Y3))))))))))) => 55.20/7.59 (Y1 @ '#sk3' @ Y0)))))))))))), 55.20/7.59 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl2])). 55.20/7.59 thf(zip_derived_cl4, plain, 55.20/7.59 (~ (((((((!!) @ (^[Y0 : a]: 55.20/7.59 (((!!) @ (^[Y1 : a]: 55.20/7.59 (((!!) @ (^[Y2 : a]: 55.20/7.59 (((((((!!) @ (^[Y3 : a > a > $o]: 55.20/7.59 (((((( 55.20/7.59 (!!) @ ( 55.20/7.59 ^[Y4 : a]: 55.20/7.59 (( 55.20/7.59 (!!) @ ( 55.20/7.59 ^[Y5 : a]: 55.20/7.59 (( 55.20/7.59 (( 55.20/7.59 ('#sk2' @ 55.20/7.59 Y4 @ 55.20/7.59 Y5) | 55.20/7.59 ('#sk1' @ 55.20/7.59 Y4 @ Y5))) => 55.20/7.59 (Y3 @ 55.20/7.59 Y4 @ Y5))))))))) & 55.20/7.59 (( 55.20/7.59 (!!) @ ( 55.20/7.59 ^[Y4 : a]: 55.20/7.59 (( 55.20/7.59 (!!) @ ( 55.20/7.59 ^[Y5 : a]: 55.20/7.59 (( 55.20/7.59 (!!) @ ( 55.20/7.59 ^[Y6 : a]: 55.20/7.59 (( 55.20/7.59 (( 55.20/7.59 (Y3 @ 55.20/7.59 Y4 @ 55.20/7.59 Y5) & 55.20/7.59 (Y3 @ 55.20/7.59 Y5 @ Y6))) => 55.20/7.59 (Y3 @ 55.20/7.59 Y4 @ Y6)))))))))))))) => 55.20/7.59 (Y3 @ Y0 @ 55.20/7.59 Y1)))))) & 55.20/7.59 (((!!) @ (^[Y3 : a > a > $o]: 55.20/7.59 (((((( 55.20/7.59 (!!) @ ( 55.20/7.59 ^[Y4 : a]: 55.20/7.59 (( 55.20/7.59 (!!) @ ( 55.20/7.59 ^[Y5 : a]: 55.20/7.59 (( 55.20/7.59 (( 55.20/7.59 ('#sk1' @ 55.20/7.59 Y4 @ 55.20/7.59 Y5) | 55.20/7.59 ('#sk2' @ 55.20/7.59 Y4 @ Y5))) => 55.20/7.59 (Y3 @ 55.20/7.59 Y4 @ Y5))))))))) & 55.20/7.59 (( 55.20/7.59 (!!) @ ( 55.20/7.59 ^[Y4 : a]: 55.20/7.59 (( 55.20/7.59 (!!) @ ( 55.20/7.59 ^[Y5 : a]: 55.20/7.59 (( 55.20/7.59 (!!) @ ( 55.20/7.59 ^[Y6 : a]: 55.20/7.59 (( 55.20/7.59 (( 55.20/7.59 (Y3 @ 55.20/7.59 Y4 @ 55.20/7.59 Y5) & 55.20/7.59 (Y3 @ 55.20/7.59 Y5 @ Y6))) => 55.20/7.59 (Y3 @ 55.20/7.59 Y4 @ Y6)))))))))))))) => 55.20/7.59 (Y3 @ Y1 @ 55.20/7.59 Y2)))))))) => 55.20/7.59 (((!!) @ (^[Y3 : a > a > $o]: 55.20/7.59 (((((((!!) @ ( 55.20/7.59 ^[Y4 : a]: 55.20/7.59 (( 55.20/7.59 (!!) @ ( 55.20/7.59 ^[Y5 : a]: 55.20/7.59 (( 55.20/7.59 (!!) @ ( 55.20/7.59 ^[Y6 : a]: 55.20/7.59 (( 55.20/7.59 (( 55.20/7.59 (Y3 @ 55.20/7.59 Y5 @ 55.20/7.59 Y6) & 55.20/7.59 (Y3 @ 55.20/7.59 Y4 @ Y5))) => 55.20/7.59 (Y3 @ 55.20/7.59 Y4 @ Y6)))))))))))) & 55.20/7.59 (((!!) @ ( 55.20/7.59 ^[Y4 : a]: 55.20/7.59 (( 55.20/7.59 (!!) @ ( 55.20/7.59 ^[Y5 : a]: 55.20/7.59 (( 55.20/7.59 (( 55.20/7.59 ('#sk1' @ 55.20/7.59 Y4 @ 55.20/7.59 Y5) | 55.20/7.59 ('#sk2' @ 55.20/7.59 Y4 @ Y5))) => 55.20/7.59 (Y3 @ 55.20/7.59 Y4 @ Y5))))))))))) => 55.20/7.59 (Y3 @ Y0 @ Y2))))))))))))))))) & 55.20/7.59 (((!!) @ (^[Y0 : a]: 55.20/7.59 (((!!) @ (^[Y1 : a]: 55.20/7.59 (((((((!!) @ (^[Y2 : a > a > $o]: 55.20/7.59 (((((((!!) @ (^[Y3 : a]: 55.20/7.59 (( 55.20/7.59 (!!) @ ( 55.20/7.59 ^[Y4 : a]: 55.20/7.59 (( 55.20/7.59 (!!) @ ( 55.20/7.59 ^[Y5 : a]: 55.20/7.59 (( 55.20/7.59 (( 55.20/7.59 (Y2 @ 55.20/7.59 Y3 @ 55.20/7.59 Y4) & 55.20/7.59 (Y2 @ 55.20/7.59 Y4 @ Y5))) => 55.20/7.59 (Y2 @ 55.20/7.59 Y3 @ Y5)))))))))))) & 55.20/7.59 (((!!) @ (^[Y3 : a]: 55.20/7.59 (( 55.20/7.59 (!!) @ ( 55.20/7.59 ^[Y4 : a]: 55.20/7.59 (( 55.20/7.59 ('#sk2' @ 55.20/7.59 Y3 @ 55.20/7.59 Y4) => 55.20/7.59 (Y2 @ 55.20/7.59 Y3 @ Y4))))))))))) => 55.20/7.59 (Y2 @ Y0 @ Y1)))))) | 55.20/7.59 (((!!) @ (^[Y2 : a > a > $o]: 55.20/7.59 (((((((!!) @ (^[Y3 : a]: 55.20/7.59 (( 55.20/7.59 (!!) @ ( 55.20/7.59 ^[Y4 : a]: 55.20/7.59 (( 55.20/7.59 (!!) @ ( 55.20/7.59 ^[Y5 : a]: 55.20/7.59 (( 55.20/7.59 (( 55.20/7.59 (Y2 @ 55.20/7.59 Y3 @ 55.20/7.59 Y4) & 55.20/7.59 (Y2 @ 55.20/7.59 Y4 @ Y5))) => 55.20/7.59 (Y2 @ 55.20/7.59 Y3 @ Y5)))))))))))) & 55.20/7.59 (((!!) @ (^[Y3 : a]: 55.20/7.59 (( 55.20/7.59 (!!) @ ( 55.20/7.59 ^[Y4 : a]: 55.20/7.59 (( 55.20/7.59 ('#sk1' @ 55.20/7.59 Y3 @ 55.20/7.59 Y4) => 55.20/7.59 (Y2 @ 55.20/7.59 Y3 @ Y4))))))))))) => 55.20/7.59 (Y2 @ Y0 @ Y1)))))))) => 55.20/7.59 (((!!) @ (^[Y2 : a > a > $o]: 55.20/7.59 (((((((!!) @ (^[Y3 : a]: 55.20/7.59 (((!!) @ ( 55.20/7.59 ^[Y4 : a]: 55.20/7.59 (( 55.20/7.59 (( 55.20/7.59 ('#sk2' @ 55.20/7.59 Y3 @ 55.20/7.59 Y4) | 55.20/7.59 ('#sk1' @ 55.20/7.59 Y3 @ Y4))) => 55.20/7.59 (Y2 @ 55.20/7.59 Y3 @ Y4))))))))) & 55.20/7.59 (((!!) @ (^[Y3 : a]: 55.20/7.59 (((!!) @ ( 55.20/7.59 ^[Y4 : a]: 55.20/7.59 (( 55.20/7.59 (!!) @ ( 55.20/7.59 ^[Y5 : a]: 55.20/7.59 (( 55.20/7.59 (( 55.20/7.59 (Y2 @ 55.20/7.59 Y3 @ 55.20/7.59 Y4) & 55.20/7.59 (Y2 @ 55.20/7.59 Y4 @ Y5))) => 55.20/7.59 (Y2 @ 55.20/7.59 Y3 @ Y5)))))))))))))) => 55.20/7.59 (Y2 @ Y0 @ Y1)))))))))))))) & 55.20/7.59 (((~) @ (((!!) @ (^[Y0 : a > a > $o]: 55.20/7.59 (((((((!!) @ (^[Y1 : a]: 55.20/7.59 (((!!) @ (^[Y2 : a]: 55.20/7.59 ((((('#sk1' @ 55.20/7.59 Y1 @ Y2) | 55.20/7.59 ('#sk2' @ 55.20/7.59 Y1 @ Y2))) => 55.20/7.59 (Y0 @ Y1 @ Y2))))))))) & 55.20/7.59 (((!!) @ (^[Y1 : a]: 55.20/7.59 (((!!) @ (^[Y2 : a]: 55.20/7.59 (((!!) @ ( 55.20/7.59 ^[Y3 : a]: 55.20/7.59 (((((Y0 @ 55.20/7.59 Y1 @ Y2) & 55.20/7.59 (Y0 @ 55.20/7.59 Y2 @ Y3))) => 55.20/7.59 (Y0 @ Y1 @ 55.20/7.59 Y3)))))))))))))) => 55.20/7.59 (Y0 @ '#sk3' @ '#sk4')))))))))) | 55.20/7.59 (((!!) @ (^[Y0 : a > a > $o]: 55.20/7.59 (((((((!!) @ (^[Y1 : a]: 55.20/7.59 (((!!) @ (^[Y2 : a]: 55.20/7.59 (((!!) @ (^[Y3 : a]: 55.20/7.59 (((((Y0 @ Y1 @ 55.20/7.59 Y2) & (Y0 @ 55.20/7.59 Y2 @ Y3))) => 55.20/7.59 (Y0 @ Y1 @ Y3)))))))))))) & 55.20/7.59 (((!!) @ (^[Y1 : a]: 55.20/7.59 (((!!) @ (^[Y2 : a]: 55.20/7.59 ((((('#sk1' @ Y1 @ Y2) | 55.20/7.59 ('#sk2' @ Y1 @ Y2))) => 55.20/7.59 (Y0 @ Y1 @ Y2))))))))))) => 55.20/7.59 (Y0 @ '#sk3' @ '#sk4'))))))))), 55.20/7.59 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl3])). 55.20/7.59 thf(zip_derived_cl5, plain, 55.20/7.59 (~ (((((!!) @ (^[Y0 : a]: 55.20/7.59 (((!!) @ (^[Y1 : a]: 55.20/7.59 (((!!) @ (^[Y2 : a]: 55.20/7.59 (((((((!!) @ (^[Y3 : a > a > $o]: 55.20/7.59 (((((((!!) @ ( 55.20/7.59 ^[Y4 : a]: 55.20/7.59 (( 55.20/7.59 (!!) @ ( 55.20/7.59 ^[Y5 : a]: 55.20/7.59 (( 55.20/7.59 (( 55.20/7.59 ('#sk2' @ 55.20/7.59 Y4 @ 55.20/7.59 Y5) | 55.20/7.59 ('#sk1' @ 55.20/7.59 Y4 @ Y5))) => 55.20/7.59 (Y3 @ 55.20/7.59 Y4 @ Y5))))))))) & 55.20/7.59 (((!!) @ ( 55.20/7.59 ^[Y4 : a]: 55.20/7.59 (( 55.20/7.59 (!!) @ ( 55.20/7.59 ^[Y5 : a]: 55.20/7.59 (( 55.20/7.59 (!!) @ ( 55.20/7.59 ^[Y6 : a]: 55.20/7.59 (( 55.20/7.59 (( 55.20/7.59 (Y3 @ 55.20/7.59 Y4 @ 55.20/7.59 Y5) & 55.20/7.59 (Y3 @ 55.20/7.59 Y5 @ Y6))) => 55.20/7.59 (Y3 @ 55.20/7.59 Y4 @ Y6)))))))))))))) => 55.20/7.59 (Y3 @ Y0 @ Y1)))))) & 55.20/7.59 (((!!) @ (^[Y3 : a > a > $o]: 55.20/7.59 (((((((!!) @ ( 55.20/7.59 ^[Y4 : a]: 55.20/7.59 (( 55.20/7.59 (!!) @ ( 55.20/7.59 ^[Y5 : a]: 55.20/7.59 (( 55.20/7.59 (( 55.20/7.59 ('#sk1' @ 55.20/7.59 Y4 @ 55.20/7.59 Y5) | 55.20/7.59 ('#sk2' @ 55.20/7.59 Y4 @ Y5))) => 55.20/7.59 (Y3 @ 55.20/7.59 Y4 @ Y5))))))))) & 55.20/7.59 (((!!) @ ( 55.20/7.59 ^[Y4 : a]: 55.20/7.59 (( 55.20/7.59 (!!) @ ( 55.20/7.59 ^[Y5 : a]: 55.20/7.59 (( 55.20/7.59 (!!) @ ( 55.20/7.59 ^[Y6 : a]: 55.20/7.59 (( 55.20/7.59 (( 55.20/7.59 (Y3 @ 55.20/7.59 Y4 @ 55.20/7.59 Y5) & 55.20/7.59 (Y3 @ 55.20/7.59 Y5 @ Y6))) => 55.20/7.59 (Y3 @ 55.20/7.59 Y4 @ Y6)))))))))))))) => 55.20/7.59 (Y3 @ Y1 @ Y2)))))))) => 55.20/7.59 (((!!) @ (^[Y3 : a > a > $o]: 55.20/7.59 (((((((!!) @ ( 55.20/7.59 ^[Y4 : a]: 55.20/7.59 (( 55.20/7.59 (!!) @ ( 55.20/7.59 ^[Y5 : a]: 55.20/7.59 (( 55.20/7.59 (!!) @ ( 55.20/7.59 ^[Y6 : a]: 55.20/7.59 (( 55.20/7.59 (( 55.20/7.59 (Y3 @ 55.20/7.59 Y5 @ 55.20/7.59 Y6) & 55.20/7.59 (Y3 @ 55.20/7.59 Y4 @ Y5))) => 55.20/7.59 (Y3 @ 55.20/7.59 Y4 @ Y6)))))))))))) & 55.20/7.59 (((!!) @ ( 55.20/7.59 ^[Y4 : a]: 55.20/7.59 (( 55.20/7.59 (!!) @ ( 55.20/7.59 ^[Y5 : a]: 55.20/7.59 (( 55.20/7.59 (( 55.20/7.59 ('#sk1' @ 55.20/7.59 Y4 @ 55.20/7.59 Y5) | 55.20/7.59 ('#sk2' @ 55.20/7.59 Y4 @ Y5))) => 55.20/7.59 (Y3 @ 55.20/7.59 Y4 @ Y5))))))))))) => 55.20/7.59 (Y3 @ Y0 @ Y2))))))))))))))))) & 55.20/7.59 (((!!) @ (^[Y0 : a]: 55.20/7.59 (((!!) @ (^[Y1 : a]: 55.20/7.59 (((((((!!) @ (^[Y2 : a > a > $o]: 55.20/7.59 (((((((!!) @ (^[Y3 : a]: 55.20/7.59 (((!!) @ ( 55.20/7.59 ^[Y4 : a]: 55.20/7.59 (( 55.20/7.59 (!!) @ ( 55.20/7.59 ^[Y5 : a]: 55.20/7.59 (( 55.20/7.59 (( 55.20/7.59 (Y2 @ 55.20/7.59 Y3 @ 55.20/7.59 Y4) & 55.20/7.59 (Y2 @ 55.20/7.59 Y4 @ Y5))) => 55.20/7.59 (Y2 @ 55.20/7.59 Y3 @ Y5)))))))))))) & 55.20/7.59 (((!!) @ (^[Y3 : a]: 55.20/7.59 (((!!) @ ( 55.20/7.59 ^[Y4 : a]: 55.20/7.59 (( 55.20/7.59 ('#sk2' @ 55.20/7.59 Y3 @ 55.20/7.59 Y4) => 55.20/7.59 (Y2 @ 55.20/7.59 Y3 @ Y4))))))))))) => 55.20/7.59 (Y2 @ Y0 @ Y1)))))) | 55.20/7.59 (((!!) @ (^[Y2 : a > a > $o]: 55.20/7.59 (((((((!!) @ (^[Y3 : a]: 55.20/7.59 (((!!) @ ( 55.20/7.59 ^[Y4 : a]: 55.20/7.59 (( 55.20/7.59 (!!) @ ( 55.20/7.59 ^[Y5 : a]: 55.20/7.59 (( 55.20/7.59 (( 55.20/7.59 (Y2 @ 55.20/7.59 Y3 @ 55.20/7.59 Y4) & 55.20/7.59 (Y2 @ 55.20/7.59 Y4 @ Y5))) => 55.20/7.59 (Y2 @ 55.20/7.59 Y3 @ Y5)))))))))))) & 55.20/7.59 (((!!) @ (^[Y3 : a]: 55.20/7.59 (((!!) @ ( 55.20/7.59 ^[Y4 : a]: 55.20/7.59 (( 55.20/7.59 ('#sk1' @ 55.20/7.59 Y3 @ 55.20/7.59 Y4) => 55.20/7.59 (Y2 @ 55.20/7.59 Y3 @ Y4))))))))))) => 55.20/7.59 (Y2 @ Y0 @ Y1)))))))) => 55.20/7.59 (((!!) @ (^[Y2 : a > a > $o]: 55.20/7.59 (((((((!!) @ (^[Y3 : a]: 55.20/7.59 (((!!) @ ( 55.20/7.59 ^[Y4 : a]: 55.20/7.59 (( 55.20/7.59 (( 55.20/7.59 ('#sk2' @ 55.20/7.59 Y3 @ 55.20/7.59 Y4) | 55.20/7.59 ('#sk1' @ 55.20/7.59 Y3 @ Y4))) => 55.20/7.59 (Y2 @ 55.20/7.59 Y3 @ Y4))))))))) & 55.20/7.59 (((!!) @ (^[Y3 : a]: 55.20/7.59 (((!!) @ ( 55.20/7.59 ^[Y4 : a]: 55.20/7.59 (( 55.20/7.59 (!!) @ ( 55.20/7.59 ^[Y5 : a]: 55.20/7.59 (( 55.20/7.59 (( 55.20/7.59 (Y2 @ 55.20/7.59 Y3 @ 55.20/7.59 Y4) & 55.20/7.59 (Y2 @ 55.20/7.59 Y4 @ Y5))) => 55.20/7.59 (Y2 @ 55.20/7.59 Y3 @ Y5)))))))))))))) => 55.20/7.59 (Y2 @ Y0 @ Y1)))))))))))))) & 55.20/7.59 (((~) @ (((!!) @ (^[Y0 : a > a > $o]: 55.20/7.59 (((((((!!) @ (^[Y1 : a]: 55.20/7.59 (((!!) @ (^[Y2 : a]: 55.20/7.59 ((((('#sk1' @ Y1 @ 55.20/7.59 Y2) | ('#sk2' @ 55.20/7.59 Y1 @ Y2))) => 55.20/7.59 (Y0 @ Y1 @ Y2))))))))) & 55.20/7.59 (((!!) @ (^[Y1 : a]: 55.20/7.59 (((!!) @ (^[Y2 : a]: 55.20/7.59 (((!!) @ (^[Y3 : a]: 55.20/7.59 (( 55.20/7.59 (( 55.20/7.59 (Y0 @ 55.20/7.59 Y1 @ 55.20/7.59 Y2) & 55.20/7.59 (Y0 @ 55.20/7.59 Y2 @ Y3))) => 55.20/7.59 (Y0 @ 55.20/7.59 Y1 @ Y3)))))))))))))) => 55.20/7.59 (Y0 @ '#sk3' @ '#sk4'))))))))))), 55.20/7.59 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl4])). 55.20/7.59 thf(zip_derived_cl7, plain, 55.20/7.59 ((~ (((!!) @ (^[Y0 : a]: 55.20/7.59 (((!!) @ (^[Y1 : a]: 55.20/7.59 (((!!) @ (^[Y2 : a]: 55.20/7.59 (((((((!!) @ (^[Y3 : a > a > $o]: 55.20/7.59 (((((((!!) @ ( 55.20/7.59 ^[Y4 : a]: 55.20/7.59 ( 55.20/7.59 ( 55.20/7.59 (!!) @ ( 55.20/7.59 ^[Y5 : a]: 55.20/7.59 (( 55.20/7.59 (( 55.20/7.59 ('#sk2' @ 55.20/7.59 Y4 @ 55.20/7.59 Y5) | 55.20/7.59 ('#sk1' @ 55.20/7.59 Y4 @ Y5))) => 55.20/7.59 (Y3 @ 55.20/7.59 Y4 @ Y5))))))))) & 55.20/7.59 (((!!) @ ( 55.20/7.59 ^[Y4 : a]: 55.20/7.59 ( 55.20/7.59 ( 55.20/7.59 (!!) @ ( 55.20/7.59 ^[Y5 : a]: 55.20/7.59 (( 55.20/7.59 (!!) @ ( 55.20/7.59 ^[Y6 : a]: 55.20/7.59 (( 55.20/7.59 (( 55.20/7.59 (Y3 @ 55.20/7.59 Y4 @ 55.20/7.59 Y5) & 55.20/7.59 (Y3 @ 55.20/7.59 Y5 @ Y6))) => 55.20/7.59 (Y3 @ 55.20/7.59 Y4 @ Y6)))))))))))))) => 55.20/7.59 (Y3 @ Y0 @ Y1)))))) & 55.20/7.59 (((!!) @ (^[Y3 : a > a > $o]: 55.20/7.59 (((((((!!) @ ( 55.20/7.59 ^[Y4 : a]: 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55.20/7.59 ^[Y4 : a]: 55.20/7.59 (((!!) @ ( 55.20/7.59 ^[Y5 : a]: 55.20/7.59 (( 55.20/7.59 (( 55.20/7.59 ('#sk1' @ 55.20/7.59 Y4 @ 55.20/7.59 Y5) | 55.20/7.59 ('#sk2' @ 55.20/7.59 Y4 @ Y5))) => 55.20/7.59 (Y3 @ 55.20/7.59 Y4 @ Y5))))))))))) => 55.20/7.59 (Y3 @ Y0 @ Y2))))))))))))))))) 55.20/7.59 | ~ (((!!) @ (^[Y0 : a]: 55.20/7.59 (((!!) @ (^[Y1 : a]: 55.20/7.59 (((((((!!) @ (^[Y2 : a > a > $o]: 55.20/7.59 (((((((!!) @ (^[Y3 : a]: 55.20/7.59 (((!!) @ ( 55.20/7.59 ^[Y4 : a]: 55.20/7.59 (( 55.20/7.59 (!!) @ ( 55.20/7.59 ^[Y5 : a]: 55.20/7.59 (( 55.20/7.59 (( 55.20/7.59 (Y2 @ 55.20/7.59 Y3 @ 55.20/7.59 Y4) & 55.20/7.59 (Y2 @ 55.20/7.59 Y4 @ Y5))) => 55.20/7.59 (Y2 @ 55.20/7.59 Y3 @ Y5)))))))))))) & 55.20/7.59 (((!!) @ (^[Y3 : a]: 55.20/7.59 (((!!) @ ( 55.20/7.59 ^[Y4 : a]: 55.20/7.59 (( 55.20/7.59 ('#sk2' @ 55.20/7.59 Y3 @ 55.20/7.59 Y4) => 55.20/7.59 (Y2 @ 55.20/7.59 Y3 @ Y4))))))))))) => 55.20/7.59 (Y2 @ Y0 @ Y1)))))) | 55.20/7.59 (((!!) @ (^[Y2 : a > a > $o]: 55.20/7.59 (((((((!!) @ (^[Y3 : a]: 55.20/7.59 (((!!) @ ( 55.20/7.59 ^[Y4 : a]: 55.20/7.59 (( 55.20/7.59 (!!) @ ( 55.20/7.59 ^[Y5 : a]: 55.20/7.59 (( 55.20/7.59 (( 55.20/7.59 (Y2 @ 55.20/7.59 Y3 @ 55.20/7.59 Y4) & 55.20/7.59 (Y2 @ 55.20/7.59 Y4 @ Y5))) => 55.20/7.59 (Y2 @ 55.20/7.59 Y3 @ Y5)))))))))))) & 55.20/7.59 (((!!) @ (^[Y3 : a]: 55.20/7.59 (((!!) @ ( 55.20/7.59 ^[Y4 : a]: 55.20/7.59 (( 55.20/7.59 ('#sk1' @ 55.20/7.59 Y3 @ 55.20/7.59 Y4) => 55.20/7.59 (Y2 @ 55.20/7.59 Y3 @ Y4))))))))))) => 55.20/7.59 (Y2 @ Y0 @ Y1)))))))) => 55.20/7.59 (((!!) @ (^[Y2 : a > a > $o]: 55.20/7.59 (((((((!!) @ (^[Y3 : a]: 55.20/7.59 (((!!) @ ( 55.20/7.59 ^[Y4 : a]: 55.20/7.59 ( 55.20/7.59 ( 55.20/7.59 (( 55.20/7.59 ('#sk2' @ 55.20/7.59 Y3 @ 55.20/7.59 Y4) | 55.20/7.59 ('#sk1' @ 55.20/7.59 Y3 @ Y4))) => 55.20/7.59 (Y2 @ 55.20/7.59 Y3 @ Y4))))))))) & 55.20/7.59 (((!!) @ (^[Y3 : a]: 55.20/7.59 (((!!) @ ( 55.20/7.59 ^[Y4 : a]: 55.20/7.59 ( 55.20/7.59 ( 55.20/7.59 (!!) @ ( 55.20/7.59 ^[Y5 : a]: 55.20/7.59 (( 55.20/7.59 (( 55.20/7.59 (Y2 @ 55.20/7.59 Y3 @ 55.20/7.59 Y4) & 55.20/7.59 (Y2 @ 55.20/7.59 Y4 @ Y5))) => 55.20/7.59 (Y2 @ 55.20/7.59 Y3 @ Y5)))))))))))))) => 55.20/7.59 (Y2 @ Y0 @ Y1)))))))))))))) 55.20/7.59 | (((!!) @ (^[Y0 : a > a > $o]: 55.20/7.59 (((((((!!) @ (^[Y1 : a]: 55.20/7.59 (((!!) @ (^[Y2 : a]: 55.20/7.59 ((((('#sk1' @ Y1 @ Y2) | 55.20/7.59 ('#sk2' @ Y1 @ Y2))) => 55.20/7.59 (Y0 @ Y1 @ Y2))))))))) & 55.20/7.59 (((!!) @ (^[Y1 : a]: 55.20/7.59 (((!!) @ (^[Y2 : a]: 55.20/7.59 (((!!) @ (^[Y3 : a]: 55.20/7.59 (((((Y0 @ Y1 @ 55.20/7.59 Y2) & (Y0 @ 55.20/7.59 Y2 @ Y3))) => 55.20/7.59 (Y0 @ Y1 @ Y3)))))))))))))) => 55.20/7.59 (Y0 @ '#sk3' @ '#sk4')))))))), 55.20/7.59 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl5])). 55.20/7.59 thf(zip_derived_cl9, plain, 55.20/7.59 ((~ (((!!) @ (^[Y0 : a]: 55.20/7.59 (((!!) @ (^[Y1 : a]: 55.20/7.59 (((((((!!) @ (^[Y2 : a > a > $o]: 55.20/7.59 (((((((!!) @ (^[Y3 : a]: 55.20/7.59 (((!!) @ ( 55.20/7.59 ^[Y4 : a]: 55.20/7.59 ( 55.20/7.59 ( 55.20/7.59 (( 55.20/7.59 ('#sk2' @ 55.20/7.59 Y3 @ 55.20/7.59 Y4) | 55.20/7.59 ('#sk1' @ 55.20/7.59 Y3 @ Y4))) => 55.20/7.59 (Y2 @ 55.20/7.59 Y3 @ Y4))))))))) & 55.20/7.59 (((!!) @ (^[Y3 : a]: 55.20/7.59 (((!!) @ ( 55.20/7.59 ^[Y4 : a]: 55.20/7.59 ( 55.20/7.59 ( 55.20/7.59 (!!) @ ( 55.20/7.59 ^[Y5 : a]: 55.20/7.59 (( 55.20/7.59 (( 55.20/7.59 (Y2 @ 55.20/7.59 Y3 @ 55.20/7.59 Y4) & 55.20/7.59 (Y2 @ 55.20/7.59 Y4 @ Y5))) => 55.20/7.59 (Y2 @ 55.20/7.59 Y3 @ Y5)))))))))))))) => 55.20/7.59 (Y2 @ '#sk6' @ Y0)))))) & 55.20/7.59 (((!!) @ (^[Y2 : a > a > $o]: 55.20/7.59 (((((((!!) @ (^[Y3 : a]: 55.20/7.59 (((!!) @ ( 55.20/7.59 ^[Y4 : a]: 55.20/7.59 ( 55.20/7.59 ( 55.20/7.59 (( 55.20/7.59 ('#sk1' @ 55.20/7.59 Y3 @ 55.20/7.59 Y4) | 55.20/7.59 ('#sk2' @ 55.20/7.59 Y3 @ Y4))) => 55.20/7.59 (Y2 @ 55.20/7.59 Y3 @ Y4))))))))) & 55.20/7.59 (((!!) @ (^[Y3 : a]: 55.20/7.59 (((!!) @ ( 55.20/7.59 ^[Y4 : a]: 55.20/7.59 ( 55.20/7.59 ( 55.20/7.59 (!!) @ ( 55.20/7.59 ^[Y5 : a]: 55.20/7.59 (( 55.20/7.59 (( 55.20/7.59 (Y2 @ 55.20/7.59 Y3 @ 55.20/7.59 Y4) & 55.20/7.59 (Y2 @ 55.20/7.59 Y4 @ Y5))) => 55.20/7.59 (Y2 @ 55.20/7.59 Y3 @ Y5)))))))))))))) => 55.20/7.59 (Y2 @ Y0 @ Y1)))))))) => 55.20/7.59 (((!!) @ (^[Y2 : a > a > $o]: 55.20/7.59 (((((((!!) @ (^[Y3 : a]: 55.20/7.59 (((!!) @ ( 55.20/7.59 ^[Y4 : a]: 55.20/7.59 (((!!) @ ( 55.20/7.59 ^[Y5 : a]: 55.20/7.59 (( 55.20/7.59 (( 55.20/7.59 (Y2 @ 55.20/7.59 Y4 @ 55.20/7.59 Y5) & 55.20/7.59 (Y2 @ 55.20/7.59 Y3 @ Y4))) => 55.20/7.59 (Y2 @ 55.20/7.59 Y3 @ Y5)))))))))))) & 55.20/7.59 (((!!) @ (^[Y3 : a]: 55.20/7.59 (((!!) @ ( 55.20/7.59 ^[Y4 : a]: 55.20/7.59 (((( 55.20/7.59 ('#sk1' @ 55.20/7.59 Y3 @ 55.20/7.59 Y4) | 55.20/7.59 ('#sk2' @ 55.20/7.59 Y3 @ Y4))) => 55.20/7.59 (Y2 @ 55.20/7.59 Y3 @ Y4))))))))))) => 55.20/7.59 (Y2 @ '#sk6' @ Y1)))))))))))))) 55.20/7.59 | (((!!) @ (^[Y0 : a > a > $o]: 55.20/7.59 (((((((!!) @ (^[Y1 : a]: 55.20/7.59 (((!!) @ (^[Y2 : a]: 55.20/7.59 ((((('#sk1' @ Y1 @ Y2) | 55.20/7.59 ('#sk2' @ Y1 @ Y2))) => 55.20/7.59 (Y0 @ Y1 @ Y2))))))))) & 55.20/7.59 (((!!) @ (^[Y1 : a]: 55.20/7.59 (((!!) @ (^[Y2 : a]: 55.20/7.59 (((!!) @ (^[Y3 : a]: 55.20/7.59 (((((Y0 @ Y1 @ 55.20/7.59 Y2) & (Y0 @ 55.20/7.59 Y2 @ Y3))) => 55.20/7.59 (Y0 @ Y1 @ Y3)))))))))))))) => 55.20/7.59 (Y0 @ '#sk3' @ '#sk4')))))) 55.20/7.59 | ~ (((!!) @ (^[Y0 : a]: 55.20/7.59 (((!!) @ (^[Y1 : a]: 55.20/7.59 (((((((!!) @ (^[Y2 : a > a > $o]: 55.20/7.59 (((((((!!) @ (^[Y3 : a]: 55.20/7.59 (((!!) @ ( 55.20/7.59 ^[Y4 : a]: 55.20/7.59 (( 55.20/7.59 (!!) @ ( 55.20/7.59 ^[Y5 : a]: 55.20/7.59 (( 55.20/7.59 (( 55.20/7.59 (Y2 @ 55.20/7.59 Y3 @ 55.20/7.59 Y4) & 55.20/7.59 (Y2 @ 55.20/7.59 Y4 @ Y5))) => 55.20/7.59 (Y2 @ 55.20/7.59 Y3 @ Y5)))))))))))) & 55.20/7.59 (((!!) @ (^[Y3 : a]: 55.20/7.59 (((!!) @ ( 55.20/7.59 ^[Y4 : a]: 55.20/7.59 (( 55.20/7.59 ('#sk2' @ 55.20/7.59 Y3 @ 55.20/7.59 Y4) => 55.20/7.59 (Y2 @ 55.20/7.59 Y3 @ Y4))))))))))) => 55.20/7.59 (Y2 @ Y0 @ Y1)))))) | 55.20/7.59 (((!!) @ (^[Y2 : a > a > $o]: 55.20/7.59 (((((((!!) @ (^[Y3 : a]: 55.20/7.59 (((!!) @ ( 55.20/7.59 ^[Y4 : a]: 55.20/7.59 (( 55.20/7.59 (!!) @ ( 55.20/7.59 ^[Y5 : a]: 55.20/7.59 (( 55.20/7.59 (( 55.20/7.59 (Y2 @ 55.20/7.59 Y3 @ 55.20/7.59 Y4) & 55.20/7.59 (Y2 @ 55.20/7.59 Y4 @ Y5))) => 55.20/7.59 (Y2 @ 55.20/7.59 Y3 @ Y5)))))))))))) & 55.20/7.59 (((!!) @ (^[Y3 : a]: 55.20/7.59 (((!!) @ ( 55.20/7.59 ^[Y4 : a]: 55.20/7.59 (( 55.20/7.59 ('#sk1' @ 55.20/7.59 Y3 @ 55.20/7.59 Y4) => 55.20/7.59 (Y2 @ 55.20/7.59 Y3 @ Y4))))))))))) => 55.20/7.59 (Y2 @ Y0 @ Y1)))))))) => 55.20/7.59 (((!!) @ (^[Y2 : a > a > $o]: 55.20/7.59 (((((((!!) @ (^[Y3 : a]: 55.20/7.59 (((!!) @ ( 55.20/7.59 ^[Y4 : a]: 55.20/7.59 ( 55.20/7.59 ( 55.20/7.59 (( 55.20/7.59 ('#sk2' @ 55.20/7.59 Y3 @ 55.20/7.59 Y4) | 55.20/7.59 ('#sk1' @ 55.20/7.59 Y3 @ Y4))) => 55.20/7.59 (Y2 @ 55.20/7.59 Y3 @ Y4))))))))) & 55.20/7.59 (((!!) @ (^[Y3 : a]: 55.20/7.59 (((!!) @ ( 55.20/7.59 ^[Y4 : a]: 55.20/7.59 ( 55.20/7.59 ( 55.20/7.59 (!!) @ ( 55.20/7.59 ^[Y5 : a]: 55.20/7.59 (( 55.20/7.59 (( 55.20/7.59 (Y2 @ 55.20/7.59 Y3 @ 55.20/7.59 Y4) & 55.20/7.59 (Y2 @ 55.20/7.59 Y4 @ Y5))) => 55.20/7.59 (Y2 @ 55.20/7.59 Y3 @ Y5)))))))))))))) => 55.20/7.59 (Y2 @ Y0 @ Y1)))))))))))))))), 55.20/7.59 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl7])). 55.20/7.59 thf(zip_derived_cl12, plain, 55.20/7.59 ((~ (((!!) @ (^[Y0 : a]: 55.20/7.59 (((((((!!) @ (^[Y1 : a > a > $o]: 55.20/7.59 (((((((!!) @ (^[Y2 : a]: 55.20/7.59 (((!!) @ (^[Y3 : a]: 55.20/7.59 ((((('#sk2' @ 55.20/7.59 Y2 @ 55.20/7.59 Y3) | 55.20/7.59 ('#sk1' @ 55.20/7.59 Y2 @ Y3))) => 55.20/7.59 (Y1 @ Y2 @ 55.20/7.59 Y3))))))))) & 55.20/7.59 (((!!) @ (^[Y2 : a]: 55.20/7.59 (((!!) @ (^[Y3 : a]: 55.20/7.59 (((!!) @ ( 55.20/7.59 ^[Y4 : a]: 55.20/7.59 ( 55.20/7.59 ( 55.20/7.59 (( 55.20/7.59 (Y1 @ 55.20/7.59 Y2 @ 55.20/7.59 Y3) & 55.20/7.59 (Y1 @ 55.20/7.59 Y3 @ Y4))) => 55.20/7.59 (Y1 @ 55.20/7.59 Y2 @ Y4)))))))))))))) => 55.20/7.59 (Y1 @ '#sk6' @ '#sk7')))))) & 55.20/7.59 (((!!) @ (^[Y1 : a > a > $o]: 55.20/7.59 (((((((!!) @ (^[Y2 : a]: 55.20/7.59 (((!!) @ (^[Y3 : a]: 55.20/7.59 ((((('#sk1' @ 55.20/7.59 Y2 @ 55.20/7.59 Y3) | 55.20/7.59 ('#sk2' @ 55.20/7.59 Y2 @ Y3))) => 55.20/7.59 (Y1 @ Y2 @ 55.20/7.59 Y3))))))))) & 55.20/7.59 (((!!) @ (^[Y2 : a]: 55.20/7.59 (((!!) @ (^[Y3 : a]: 55.20/7.59 (((!!) @ ( 55.20/7.59 ^[Y4 : a]: 55.20/7.59 ( 55.20/7.59 ( 55.20/7.59 (( 55.20/7.59 (Y1 @ 55.20/7.59 Y2 @ 55.20/7.59 Y3) & 55.20/7.59 (Y1 @ 55.20/7.59 Y3 @ Y4))) => 55.20/7.59 (Y1 @ 55.20/7.59 Y2 @ Y4)))))))))))))) => 55.20/7.59 (Y1 @ '#sk7' @ Y0)))))))) => 55.20/7.59 (((!!) @ (^[Y1 : a > a > $o]: 55.20/7.59 (((((((!!) @ (^[Y2 : a]: 55.20/7.59 (((!!) @ (^[Y3 : a]: 55.20/7.59 (((!!) @ ( 55.20/7.59 ^[Y4 : a]: 55.20/7.59 (((( 55.20/7.59 (Y1 @ 55.20/7.59 Y3 @ 55.20/7.59 Y4) & 55.20/7.59 (Y1 @ 55.20/7.59 Y2 @ Y3))) => 55.20/7.59 (Y1 @ 55.20/7.59 Y2 @ Y4)))))))))))) & 55.20/7.59 (((!!) @ (^[Y2 : a]: 55.20/7.59 (((!!) @ (^[Y3 : a]: 55.20/7.59 ((((('#sk1' @ 55.20/7.59 Y2 @ Y3) | 55.20/7.59 ('#sk2' @ 55.20/7.59 Y2 @ Y3))) => 55.20/7.59 (Y1 @ Y2 @ 55.20/7.59 Y3))))))))))) => 55.20/7.59 (Y1 @ '#sk6' @ Y0))))))))))) 55.20/7.59 | ~ (((!!) @ (^[Y0 : a]: 55.20/7.59 (((!!) @ (^[Y1 : a]: 55.20/7.59 (((((((!!) @ (^[Y2 : a > a > $o]: 55.20/7.59 (((((((!!) @ (^[Y3 : a]: 55.20/7.59 (((!!) @ ( 55.20/7.59 ^[Y4 : a]: 55.20/7.59 (( 55.20/7.59 (!!) @ ( 55.20/7.59 ^[Y5 : a]: 55.20/7.59 (( 55.20/7.59 (( 55.20/7.59 (Y2 @ 55.20/7.59 Y3 @ 55.20/7.59 Y4) & 55.20/7.59 (Y2 @ 55.20/7.59 Y4 @ Y5))) => 55.20/7.59 (Y2 @ 55.20/7.59 Y3 @ Y5)))))))))))) & 55.20/7.59 (((!!) @ (^[Y3 : a]: 55.20/7.59 (((!!) @ ( 55.20/7.59 ^[Y4 : a]: 55.20/7.59 (( 55.20/7.59 ('#sk2' @ 55.20/7.59 Y3 @ 55.20/7.59 Y4) => 55.20/7.59 (Y2 @ 55.20/7.59 Y3 @ Y4))))))))))) => 55.20/7.59 (Y2 @ Y0 @ Y1)))))) | 55.20/7.59 (((!!) @ (^[Y2 : a > a > $o]: 55.20/7.59 (((((((!!) @ (^[Y3 : a]: 55.20/7.59 (((!!) @ ( 55.20/7.59 ^[Y4 : a]: 55.20/7.59 (( 55.20/7.59 (!!) @ ( 55.20/7.59 ^[Y5 : a]: 55.20/7.59 (( 55.20/7.59 (( 55.20/7.59 (Y2 @ 55.20/7.59 Y3 @ 55.20/7.59 Y4) & 55.20/7.59 (Y2 @ 55.20/7.59 Y4 @ Y5))) => 55.20/7.59 (Y2 @ 55.20/7.59 Y3 @ Y5)))))))))))) & 55.20/7.59 (((!!) @ (^[Y3 : a]: 55.20/7.59 (((!!) @ ( 55.20/7.59 ^[Y4 : a]: 55.20/7.59 (( 55.20/7.59 ('#sk1' @ 55.20/7.59 Y3 @ 55.20/7.59 Y4) => 55.20/7.59 (Y2 @ 55.20/7.59 Y3 @ Y4))))))))))) => 55.20/7.59 (Y2 @ Y0 @ Y1)))))))) => 55.20/7.59 (((!!) @ (^[Y2 : a > a > $o]: 55.20/7.59 (((((((!!) @ (^[Y3 : a]: 55.20/7.59 (((!!) @ ( 55.20/7.59 ^[Y4 : a]: 55.20/7.60 ( 55.20/7.60 ( 55.20/7.60 (( 55.20/7.60 ('#sk2' @ 55.20/7.60 Y3 @ 55.20/7.60 Y4) | 55.20/7.60 ('#sk1' @ 55.20/7.60 Y3 @ Y4))) => 55.20/7.60 (Y2 @ 55.20/7.60 Y3 @ Y4))))))))) & 55.20/7.60 (((!!) @ (^[Y3 : a]: 55.20/7.60 (((!!) @ ( 55.20/7.60 ^[Y4 : a]: 55.20/7.60 ( 55.20/7.60 ( 55.20/7.60 (!!) @ ( 55.20/7.60 ^[Y5 : a]: 55.20/7.60 (( 55.20/7.60 (( 55.20/7.60 (Y2 @ 55.20/7.60 Y3 @ 55.20/7.60 Y4) & 55.20/7.60 (Y2 @ 55.20/7.60 Y4 @ Y5))) => 55.20/7.60 (Y2 @ 55.20/7.60 Y3 @ Y5)))))))))))))) => 55.20/7.60 (Y2 @ Y0 @ Y1)))))))))))))) 55.20/7.60 | (((!!) @ (^[Y0 : a > a > $o]: 55.20/7.60 (((((((!!) @ (^[Y1 : a]: 55.20/7.60 (((!!) @ (^[Y2 : a]: 55.20/7.60 ((((('#sk1' @ Y1 @ Y2) | 55.20/7.60 ('#sk2' @ Y1 @ Y2))) => 55.20/7.60 (Y0 @ Y1 @ Y2))))))))) & 55.20/7.60 (((!!) @ (^[Y1 : a]: 55.20/7.60 (((!!) @ (^[Y2 : a]: 55.20/7.60 (((!!) @ (^[Y3 : a]: 55.20/7.60 (((((Y0 @ Y1 @ 55.20/7.60 Y2) & (Y0 @ 55.20/7.60 Y2 @ Y3))) => 55.20/7.60 (Y0 @ Y1 @ Y3)))))))))))))) => 55.20/7.60 (Y0 @ '#sk3' @ '#sk4')))))))), 55.20/7.60 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl9])). 55.20/7.60 thf(zip_derived_cl15, plain, 55.20/7.60 ((~ (((((((!!) @ (^[Y0 : a > a > $o]: 55.20/7.60 (((((((!!) @ (^[Y1 : a]: 55.20/7.60 (((!!) @ (^[Y2 : a]: 55.20/7.60 ((((('#sk2' @ Y1 @ Y2) | 55.20/7.60 ('#sk1' @ Y1 @ Y2))) => 55.20/7.60 (Y0 @ Y1 @ Y2))))))))) & 55.20/7.60 (((!!) @ (^[Y1 : a]: 55.20/7.60 (((!!) @ (^[Y2 : a]: 55.20/7.60 (((!!) @ (^[Y3 : a]: 55.20/7.60 (((((Y0 @ 55.20/7.60 Y1 @ 55.20/7.60 Y2) & 55.20/7.60 (Y0 @ 55.20/7.60 Y2 @ Y3))) => 55.20/7.60 (Y0 @ Y1 @ 55.20/7.60 Y3)))))))))))))) => 55.20/7.60 (Y0 @ '#sk6' @ '#sk7')))))) & 55.20/7.60 (((!!) @ (^[Y0 : a > a > $o]: 55.20/7.60 (((((((!!) @ (^[Y1 : a]: 55.20/7.60 (((!!) @ (^[Y2 : a]: 55.20/7.60 ((((('#sk1' @ Y1 @ Y2) | 55.20/7.60 ('#sk2' @ Y1 @ Y2))) => 55.20/7.60 (Y0 @ Y1 @ Y2))))))))) & 55.20/7.60 (((!!) @ (^[Y1 : a]: 55.20/7.60 (((!!) @ (^[Y2 : a]: 55.20/7.60 (((!!) @ (^[Y3 : a]: 55.20/7.60 (((((Y0 @ 55.20/7.60 Y1 @ 55.20/7.60 Y2) & 55.20/7.60 (Y0 @ 55.20/7.60 Y2 @ Y3))) => 55.20/7.60 (Y0 @ Y1 @ 55.20/7.60 Y3)))))))))))))) => 55.20/7.60 (Y0 @ '#sk7' @ '#sk8')))))))) => 55.20/7.60 (((!!) @ (^[Y0 : a > a > $o]: 55.20/7.60 (((((((!!) @ (^[Y1 : a]: 55.20/7.60 (((!!) @ (^[Y2 : a]: 55.20/7.60 (((!!) @ (^[Y3 : a]: 55.20/7.60 (((((Y0 @ Y2 @ 55.20/7.60 Y3) & 55.20/7.60 (Y0 @ Y1 @ 55.20/7.60 Y2))) => 55.20/7.60 (Y0 @ Y1 @ 55.20/7.60 Y3)))))))))))) & 55.20/7.60 (((!!) @ (^[Y1 : a]: 55.20/7.60 (((!!) @ (^[Y2 : a]: 55.20/7.60 ((((('#sk1' @ Y1 @ Y2) | 55.20/7.60 ('#sk2' @ Y1 @ Y2))) => 55.20/7.60 (Y0 @ Y1 @ Y2))))))))))) => 55.20/7.60 (Y0 @ '#sk6' @ '#sk8')))))))) 55.20/7.60 | (((!!) @ (^[Y0 : a > a > $o]: 55.20/7.60 (((((((!!) @ (^[Y1 : a]: 55.20/7.60 (((!!) @ (^[Y2 : a]: 55.20/7.60 ((((('#sk1' @ Y1 @ Y2) | 55.20/7.60 ('#sk2' @ Y1 @ Y2))) => 55.20/7.60 (Y0 @ Y1 @ Y2))))))))) & 55.20/7.60 (((!!) @ (^[Y1 : a]: 55.20/7.60 (((!!) @ (^[Y2 : a]: 55.20/7.60 (((!!) @ (^[Y3 : a]: 55.20/7.60 (((((Y0 @ Y1 @ 55.20/7.60 Y2) & (Y0 @ 55.20/7.60 Y2 @ Y3))) => 55.20/7.60 (Y0 @ Y1 @ Y3)))))))))))))) => 55.20/7.60 (Y0 @ '#sk3' @ '#sk4')))))) 55.20/7.60 | ~ (((!!) @ (^[Y0 : a]: 55.20/7.60 (((!!) @ (^[Y1 : a]: 55.20/7.60 (((((((!!) @ (^[Y2 : a > a > $o]: 55.20/7.60 (((((((!!) @ (^[Y3 : a]: 55.20/7.60 (((!!) @ ( 55.20/7.60 ^[Y4 : a]: 55.20/7.60 (( 55.20/7.60 (!!) @ ( 55.20/7.60 ^[Y5 : a]: 55.20/7.60 (( 55.20/7.60 (( 55.20/7.60 (Y2 @ 55.20/7.60 Y3 @ 55.20/7.60 Y4) & 55.20/7.60 (Y2 @ 55.20/7.60 Y4 @ Y5))) => 55.20/7.60 (Y2 @ 55.20/7.60 Y3 @ Y5)))))))))))) & 55.20/7.60 (((!!) @ (^[Y3 : a]: 55.20/7.60 (((!!) @ ( 55.20/7.60 ^[Y4 : 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55.20/7.60 (Y2 @ 55.20/7.60 Y3 @ Y4))))))))) & 55.20/7.60 (((!!) @ (^[Y3 : a]: 55.20/7.60 (((!!) @ ( 55.20/7.60 ^[Y4 : a]: 55.20/7.60 ( 55.20/7.60 ( 55.20/7.60 (!!) @ ( 55.20/7.60 ^[Y5 : a]: 55.20/7.60 (( 55.20/7.60 (( 55.20/7.60 (Y2 @ 55.20/7.60 Y3 @ 55.20/7.60 Y4) & 55.20/7.60 (Y2 @ 55.20/7.60 Y4 @ Y5))) => 55.20/7.60 (Y2 @ 55.20/7.60 Y3 @ Y5)))))))))))))) => 55.20/7.60 (Y2 @ Y0 @ Y1)))))))))))))))), 55.20/7.60 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl12])). 55.20/7.60 thf(zip_derived_cl19, plain, 55.20/7.60 ((~ (((!!) @ (^[Y0 : a > a > $o]: 55.20/7.60 (((((((!!) @ (^[Y1 : a]: 55.20/7.60 (((!!) @ (^[Y2 : a]: 55.20/7.60 (((!!) @ (^[Y3 : a]: 55.20/7.60 (((((Y0 @ Y2 @ 55.20/7.60 Y3) & (Y0 @ 55.20/7.60 Y1 @ Y2))) => 55.20/7.60 (Y0 @ Y1 @ Y3)))))))))))) & 55.20/7.60 (((!!) @ (^[Y1 : a]: 55.20/7.60 (((!!) @ (^[Y2 : a]: 55.20/7.60 ((((('#sk1' @ Y1 @ Y2) | 55.20/7.60 ('#sk2' @ Y1 @ Y2))) => 55.20/7.60 (Y0 @ Y1 @ Y2))))))))))) => 55.20/7.60 (Y0 @ '#sk6' @ '#sk8')))))) 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55.20/7.60 (((!!) @ (^[Y3 : a]: 55.20/7.60 (((!!) @ ( 55.20/7.60 ^[Y4 : a]: 55.20/7.60 (( 55.20/7.60 ('#sk1' @ 55.20/7.60 Y3 @ 55.20/7.60 Y4) => 55.20/7.60 (Y2 @ 55.20/7.60 Y3 @ Y4))))))))))) => 55.20/7.60 (Y2 @ Y0 @ Y1)))))))) => 55.20/7.60 (((!!) @ (^[Y2 : a > a > $o]: 55.20/7.60 (((((((!!) @ (^[Y3 : a]: 55.20/7.60 (((!!) @ ( 55.20/7.60 ^[Y4 : a]: 55.20/7.60 ( 55.20/7.60 ( 55.20/7.60 (( 55.20/7.60 ('#sk2' @ 55.20/7.60 Y3 @ 55.20/7.60 Y4) | 55.20/7.60 ('#sk1' @ 55.20/7.60 Y3 @ Y4))) => 55.20/7.60 (Y2 @ 55.20/7.60 Y3 @ Y4))))))))) & 55.20/7.60 (((!!) @ (^[Y3 : a]: 55.20/7.60 (((!!) @ ( 55.20/7.60 ^[Y4 : a]: 55.20/7.60 ( 55.20/7.60 ( 55.20/7.60 (!!) @ ( 55.20/7.60 ^[Y5 : a]: 55.20/7.60 (( 55.20/7.60 (( 55.20/7.60 (Y2 @ 55.20/7.60 Y3 @ 55.20/7.60 Y4) & 55.20/7.60 (Y2 @ 55.20/7.60 Y4 @ Y5))) => 55.20/7.60 (Y2 @ 55.20/7.60 Y3 @ Y5)))))))))))))) => 55.20/7.60 (Y2 @ Y0 @ Y1)))))))))))))) 55.20/7.60 | (((!!) @ (^[Y0 : a > a > $o]: 55.20/7.60 (((((((!!) @ (^[Y1 : a]: 55.20/7.60 (((!!) @ (^[Y2 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a]: 55.20/7.60 (( 55.20/7.60 ('#sk2' @ 55.20/7.60 Y3 @ 55.20/7.60 Y4) => 55.20/7.60 (Y2 @ 55.20/7.60 Y3 @ Y4))))))))))) => 55.20/7.60 (Y2 @ Y0 @ Y1)))))) | 55.20/7.60 (((!!) @ (^[Y2 : a > a > $o]: 55.20/7.60 (((((((!!) @ (^[Y3 : a]: 55.20/7.60 (((!!) @ ( 55.20/7.60 ^[Y4 : a]: 55.20/7.60 (( 55.20/7.60 (!!) @ ( 55.20/7.60 ^[Y5 : a]: 55.20/7.60 (( 55.20/7.60 (( 55.20/7.60 (Y2 @ 55.20/7.60 Y3 @ 55.20/7.60 Y4) & 55.20/7.60 (Y2 @ 55.20/7.60 Y4 @ Y5))) => 55.20/7.60 (Y2 @ 55.20/7.60 Y3 @ Y5)))))))))))) & 55.20/7.60 (((!!) @ (^[Y3 : a]: 55.20/7.60 (((!!) @ ( 55.20/7.60 ^[Y4 : a]: 55.20/7.60 (( 55.20/7.60 ('#sk1' @ 55.20/7.60 Y3 @ 55.20/7.60 Y4) => 55.20/7.60 (Y2 @ 55.20/7.60 Y3 @ Y4))))))))))) => 55.20/7.60 (Y2 @ Y0 @ Y1)))))))) => 55.20/7.60 (((!!) @ (^[Y2 : a > a > $o]: 55.20/7.60 (((((((!!) @ (^[Y3 : a]: 55.20/7.60 (((!!) @ ( 55.20/7.60 ^[Y4 : a]: 55.20/7.60 ( 55.20/7.60 ( 55.20/7.60 (( 55.20/7.60 ('#sk2' @ 55.20/7.60 Y3 @ 55.20/7.60 Y4) | 55.20/7.60 ('#sk1' @ 55.20/7.60 Y3 @ Y4))) => 55.20/7.60 (Y2 @ 55.20/7.60 Y3 @ Y4))))))))) & 55.20/7.60 (((!!) @ (^[Y3 : a]: 55.20/7.60 (((!!) @ ( 55.20/7.60 ^[Y4 : a]: 55.20/7.60 ( 55.20/7.60 ( 55.20/7.60 (!!) @ ( 55.20/7.60 ^[Y5 : a]: 55.20/7.60 (( 55.20/7.60 (( 55.20/7.60 (Y2 @ 55.20/7.60 Y3 @ 55.20/7.60 Y4) & 55.20/7.60 (Y2 @ 55.20/7.60 Y4 @ Y5))) => 55.20/7.60 (Y2 @ 55.20/7.60 Y3 @ Y5)))))))))))))) => 55.20/7.60 (Y2 @ Y0 @ Y1)))))))))))))))), 55.20/7.60 define([status(thm)])). 55.20/7.60 thf(zip_derived_cl25, plain, 55.20/7.60 ((~ (((!!) @ (^[Y0 : a]: 55.20/7.60 (((((((!!) @ (^[Y1 : a > a > $o]: 55.20/7.60 (((((((!!) @ (^[Y2 : a]: 55.20/7.60 (((!!) @ (^[Y3 : a]: 55.20/7.60 (((!!) @ ( 55.20/7.60 ^[Y4 : a]: 55.20/7.60 ( 55.20/7.60 ( 55.20/7.60 (( 55.20/7.60 (Y1 @ 55.20/7.60 Y2 @ 55.20/7.60 Y3) & 55.20/7.60 (Y1 @ 55.20/7.60 Y3 @ Y4))) => 55.20/7.60 (Y1 @ 55.20/7.60 Y2 @ Y4)))))))))))) & 55.20/7.60 (((!!) @ (^[Y2 : a]: 55.20/7.60 (((!!) @ (^[Y3 : a]: 55.20/7.60 ((('#sk2' @ 55.20/7.60 Y2 @ Y3) => 55.20/7.60 (Y1 @ Y2 @ 55.20/7.60 Y3))))))))))) => 55.20/7.60 (Y1 @ '#sk10' @ Y0)))))) | 55.20/7.60 (((!!) @ (^[Y1 : a > a > $o]: 55.20/7.60 (((((((!!) @ (^[Y2 : a]: 55.20/7.60 (((!!) @ (^[Y3 : a]: 55.20/7.60 (((!!) @ ( 55.20/7.60 ^[Y4 : a]: 55.20/7.60 ( 55.20/7.60 ( 55.20/7.60 (( 55.20/7.60 (Y1 @ 55.20/7.60 Y2 @ 55.20/7.60 Y3) & 55.20/7.60 (Y1 @ 55.20/7.60 Y3 @ Y4))) => 55.20/7.60 (Y1 @ 55.20/7.60 Y2 @ Y4)))))))))))) & 55.20/7.60 (((!!) @ (^[Y2 : a]: 55.20/7.60 (((!!) @ (^[Y3 : a]: 55.20/7.60 ((('#sk1' @ 55.20/7.60 Y2 @ Y3) => 55.20/7.60 (Y1 @ Y2 @ 55.20/7.60 Y3))))))))))) => 55.20/7.60 (Y1 @ '#sk10' @ Y0)))))))) => 55.20/7.60 (((!!) @ (^[Y1 : a > a > $o]: 55.20/7.60 (((((((!!) @ (^[Y2 : a]: 55.20/7.60 (((!!) @ (^[Y3 : a]: 55.20/7.60 ((((('#sk2' @ 55.20/7.60 Y2 @ Y3) | 55.20/7.60 ('#sk1' @ 55.20/7.60 Y2 @ Y3))) => 55.20/7.60 (Y1 @ Y2 @ 55.20/7.60 Y3))))))))) & 55.20/7.60 (((!!) @ (^[Y2 : a]: 55.20/7.60 (((!!) @ (^[Y3 : a]: 55.20/7.60 (((!!) @ ( 55.20/7.60 ^[Y4 : a]: 55.20/7.60 (((( 55.20/7.60 (Y1 @ 55.20/7.60 Y2 @ 55.20/7.60 Y3) & 55.20/7.60 (Y1 @ 55.20/7.60 Y3 @ Y4))) => 55.20/7.60 (Y1 @ 55.20/7.60 Y2 @ Y4)))))))))))))) => 55.20/7.60 (Y1 @ '#sk10' @ Y0))))))))))) 55.20/7.60 | ('#form9'))), 55.20/7.60 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl24])). 55.20/7.60 thf(zip_derived_cl37, plain, 55.20/7.60 ((~ (((((((!!) @ (^[Y0 : a > a > $o]: 55.20/7.60 (((((((!!) @ (^[Y1 : a]: 55.20/7.60 (((!!) @ (^[Y2 : a]: 55.20/7.60 (((!!) @ (^[Y3 : a]: 55.20/7.60 (((((Y0 @ 55.20/7.60 Y1 @ 55.20/7.60 Y2) & 55.20/7.60 (Y0 @ 55.20/7.60 Y2 @ Y3))) => 55.20/7.60 (Y0 @ Y1 @ 55.20/7.60 Y3)))))))))))) & 55.20/7.60 (((!!) @ (^[Y1 : a]: 55.20/7.60 (((!!) @ (^[Y2 : a]: 55.20/7.60 ((('#sk2' @ Y1 @ Y2) => 55.20/7.60 (Y0 @ Y1 @ Y2))))))))))) => 55.20/7.60 (Y0 @ '#sk10' @ '#sk12')))))) | 55.20/7.60 (((!!) @ (^[Y0 : a > a > $o]: 55.20/7.60 (((((((!!) @ (^[Y1 : a]: 55.20/7.60 (((!!) @ (^[Y2 : a]: 55.20/7.60 (((!!) @ (^[Y3 : a]: 55.20/7.60 (((((Y0 @ 55.20/7.60 Y1 @ 55.20/7.60 Y2) & 55.20/7.60 (Y0 @ 55.20/7.60 Y2 @ 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inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl47])). 55.20/7.60 thf(zip_derived_cl79, plain, 55.20/7.60 ((~ ('#sk30' @ '#sk10' @ '#sk12') | ('#form9'))), 55.20/7.60 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl66])). 55.20/7.60 thf(zip_derived_cl46, plain, 55.20/7.60 (( (((((!!) @ (^[Y0 : a > a > $o]: 55.20/7.60 (((((((!!) @ (^[Y1 : a]: 55.20/7.60 (((!!) @ (^[Y2 : a]: 55.20/7.60 (((!!) @ (^[Y3 : a]: 55.20/7.60 (((((Y0 @ Y1 @ 55.20/7.60 Y2) & (Y0 @ 55.20/7.60 Y2 @ Y3))) => 55.20/7.60 (Y0 @ Y1 @ Y3)))))))))))) & 55.20/7.60 (((!!) @ (^[Y1 : a]: 55.20/7.60 (((!!) @ (^[Y2 : a]: 55.20/7.60 ((('#sk2' @ Y1 @ Y2) => 55.20/7.60 (Y0 @ Y1 @ Y2))))))))))) => 55.20/7.60 (Y0 @ '#sk10' @ '#sk12')))))) | 55.20/7.60 (((!!) @ (^[Y0 : a > a > $o]: 55.20/7.60 (((((((!!) @ (^[Y1 : a]: 55.20/7.60 (((!!) @ (^[Y2 : a]: 55.20/7.60 (((!!) @ (^[Y3 : a]: 55.20/7.60 (((((Y0 @ Y1 @ 55.20/7.60 Y2) & (Y0 @ 55.20/7.60 Y2 @ Y3))) => 55.20/7.60 (Y0 @ Y1 @ Y3)))))))))))) & 55.20/7.60 (((!!) @ (^[Y1 : a]: 55.20/7.60 (((!!) @ (^[Y2 : a]: 55.20/7.60 ((('#sk1' @ Y1 @ Y2) => 55.20/7.60 (Y0 @ Y1 @ Y2))))))))))) => 55.20/7.60 (Y0 @ '#sk10' @ '#sk12')))))))) 55.20/7.60 | ('#form9'))), 55.20/7.60 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl37])). 55.20/7.60 thf(zip_derived_cl62, plain, 55.20/7.60 (( (((!!) @ (^[Y0 : a > a > $o]: 55.20/7.60 (((((((!!) @ (^[Y1 : a]: 55.20/7.60 (((!!) @ (^[Y2 : a]: 55.20/7.60 (((!!) @ (^[Y3 : a]: 55.20/7.60 (((((Y0 @ Y1 @ 55.20/7.60 Y2) & (Y0 @ 55.20/7.60 Y2 @ Y3))) => 55.20/7.60 (Y0 @ Y1 @ Y3)))))))))))) & 55.20/7.60 (((!!) @ (^[Y1 : a]: 55.20/7.60 (((!!) @ (^[Y2 : a]: 55.20/7.60 ((('#sk2' @ Y1 @ Y2) => (Y0 @ 55.20/7.60 Y1 @ Y2))))))))))) => 55.20/7.60 (Y0 @ '#sk10' @ '#sk12')))))) 55.20/7.60 | (((!!) @ (^[Y0 : a > a > $o]: 55.20/7.60 (((((((!!) @ (^[Y1 : a]: 55.20/7.60 (((!!) @ (^[Y2 : a]: 55.20/7.60 (((!!) @ (^[Y3 : a]: 55.20/7.60 (((((Y0 @ Y1 @ 55.20/7.60 Y2) & (Y0 @ 55.20/7.60 Y2 @ Y3))) => 55.20/7.60 (Y0 @ Y1 @ Y3)))))))))))) & 55.20/7.60 (((!!) @ (^[Y1 : a]: 55.20/7.60 (((!!) @ (^[Y2 : a]: 55.20/7.60 ((('#sk1' @ Y1 @ Y2) => 55.20/7.60 (Y0 @ Y1 @ Y2))))))))))) => 55.20/7.60 (Y0 @ '#sk10' @ '#sk12')))))) 55.20/7.60 | ('#form9'))), 55.20/7.60 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl46])). 55.20/7.60 thf(zip_derived_cl72, plain, 55.20/7.60 (![X2 : a > a > $o]: 55.20/7.60 ( (((((((!!) @ (^[Y0 : a]: 55.20/7.60 (((!!) @ (^[Y1 : a]: 55.20/7.60 (((!!) @ (^[Y2 : a]: 55.20/7.60 (((((X2 @ Y0 @ Y1) & (X2 @ 55.20/7.60 Y1 @ Y2))) => 55.20/7.60 (X2 @ Y0 @ Y2)))))))))))) & 55.20/7.60 (((!!) @ (^[Y0 : a]: 55.20/7.60 (((!!) @ (^[Y1 : a]: 55.20/7.60 ((('#sk2' @ Y0 @ Y1) => (X2 @ Y0 @ Y1))))))))))) => 55.20/7.60 (X2 @ '#sk10' @ '#sk12'))) 55.20/7.60 | ('#form9') 55.20/7.60 | (((!!) @ (^[Y0 : a > a > $o]: 55.20/7.60 (((((((!!) @ (^[Y1 : a]: 55.20/7.60 (((!!) @ (^[Y2 : a]: 55.20/7.60 (((!!) @ (^[Y3 : a]: 55.20/7.60 (((((Y0 @ 55.20/7.60 Y1 @ Y2) & 55.20/7.60 (Y0 @ 55.20/7.60 Y2 @ Y3))) => 55.20/7.60 (Y0 @ Y1 @ 55.20/7.60 Y3)))))))))))) & 55.20/7.60 (((!!) @ (^[Y1 : a]: 55.20/7.60 (((!!) @ (^[Y2 : a]: 55.20/7.60 ((('#sk1' @ Y1 @ Y2) => 55.20/7.60 (Y0 @ Y1 @ Y2))))))))))) => 55.20/7.60 (Y0 @ '#sk10' @ '#sk12')))))))), 55.20/7.60 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl62])). 55.20/7.60 thf(zip_derived_cl85, plain, 55.20/7.60 ((~ ('#form94') 55.20/7.60 | (((!!) @ (^[Y0 : a > a > $o]: 55.20/7.60 (((((((!!) @ (^[Y1 : a]: 55.20/7.60 (((!!) @ (^[Y2 : a]: 55.20/7.60 (((!!) @ (^[Y3 : a]: 55.20/7.60 (((((Y0 @ Y1 @ 55.20/7.60 Y2) & (Y0 @ 55.20/7.60 Y2 @ Y3))) => 55.20/7.60 (Y0 @ Y1 @ Y3)))))))))))) & 55.20/7.60 (((!!) @ (^[Y1 : a]: 55.20/7.60 (((!!) @ (^[Y2 : a]: 55.20/7.60 ((('#sk1' @ Y1 @ Y2) => 55.20/7.60 (Y0 @ Y1 @ Y2))))))))))) => 55.20/7.60 (Y0 @ '#sk10' @ '#sk12')))))))), 55.20/7.60 define([status(thm)])). 55.20/7.60 thf(zip_derived_cl86, plain, 55.20/7.60 (![X2 : a > a > $o]: 55.20/7.60 ( (((((((!!) @ (^[Y0 : a]: 55.20/7.60 (((!!) @ (^[Y1 : a]: 55.20/7.60 (((!!) @ (^[Y2 : a]: 55.20/7.60 (((((X2 @ Y0 @ Y1) & (X2 @ 55.20/7.60 Y1 @ Y2))) => 55.20/7.60 (X2 @ Y0 @ Y2)))))))))))) & 55.20/7.60 (((!!) @ (^[Y0 : a]: 55.20/7.60 (((!!) @ (^[Y1 : a]: 55.20/7.60 ((('#sk1' @ Y0 @ Y1) => (X2 @ Y0 @ Y1))))))))))) => 55.20/7.60 (X2 @ '#sk10' @ '#sk12'))) 55.20/7.60 | ~ ('#form94'))), 55.20/7.60 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl85])). 55.20/7.60 thf(zip_derived_cl103, plain, 55.20/7.60 (![X2 : a > a > $o]: 55.20/7.60 (~ (((((!!) @ (^[Y0 : a]: 55.20/7.60 (((!!) @ (^[Y1 : a]: 55.20/7.60 (((!!) @ (^[Y2 : a]: 55.20/7.60 (((((X2 @ Y0 @ Y1) & (X2 @ 55.20/7.60 Y1 @ Y2))) => 55.20/7.60 (X2 @ Y0 @ Y2)))))))))))) & 55.20/7.60 (((!!) @ (^[Y0 : a]: 55.20/7.60 (((!!) @ (^[Y1 : a]: 55.20/7.60 ((('#sk1' @ Y0 @ Y1) => (X2 @ Y0 @ Y1))))))))))) 55.20/7.60 | (X2 @ '#sk10' @ '#sk12') 55.20/7.60 | ~ ('#form94'))), 55.20/7.60 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl86])). 55.20/7.60 thf(zip_derived_cl116, plain, 55.20/7.60 (![X2 : a > a > $o]: 55.20/7.60 (~ (((!!) @ (^[Y0 : a]: 55.20/7.60 (((!!) @ (^[Y1 : a]: 55.20/7.60 (((!!) @ (^[Y2 : a]: 55.20/7.60 (((((X2 @ Y0 @ Y1) & (X2 @ 55.20/7.60 Y1 @ Y2))) => 55.20/7.60 (X2 @ Y0 @ Y2)))))))))))) 55.20/7.60 | ~ (((!!) @ (^[Y0 : a]: 55.20/7.60 (((!!) @ (^[Y1 : a]: 55.20/7.60 ((('#sk1' @ Y0 @ Y1) => (X2 @ Y0 @ Y1))))))))) 55.20/7.60 | ~ ('#form94') 55.20/7.60 | (X2 @ '#sk10' @ '#sk12'))), 55.20/7.60 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl103])). 55.20/7.60 thf(zip_derived_cl18, plain, 55.20/7.60 (( (((((!!) @ (^[Y0 : a > a > $o]: 55.20/7.60 (((((((!!) @ (^[Y1 : a]: 55.20/7.60 (((!!) @ (^[Y2 : a]: 55.20/7.60 ((((('#sk2' @ Y1 @ Y2) | 55.20/7.60 ('#sk1' @ Y1 @ Y2))) => 55.20/7.60 (Y0 @ Y1 @ Y2))))))))) & 55.20/7.60 (((!!) @ (^[Y1 : a]: 55.20/7.60 (((!!) @ (^[Y2 : a]: 55.20/7.60 (((!!) @ (^[Y3 : a]: 55.20/7.60 (((((Y0 @ Y1 @ 55.20/7.60 Y2) & (Y0 @ 55.20/7.60 Y2 @ Y3))) => 55.20/7.60 (Y0 @ Y1 @ Y3)))))))))))))) => 55.20/7.60 (Y0 @ '#sk6' @ '#sk7')))))) & 55.20/7.60 (((!!) @ (^[Y0 : a > a > $o]: 55.20/7.60 (((((((!!) @ (^[Y1 : a]: 55.20/7.60 (((!!) @ (^[Y2 : a]: 55.20/7.60 ((((('#sk1' @ Y1 @ Y2) | 55.20/7.60 ('#sk2' @ Y1 @ Y2))) => 55.20/7.60 (Y0 @ Y1 @ Y2))))))))) & 55.20/7.60 (((!!) @ (^[Y1 : a]: 55.20/7.60 (((!!) @ (^[Y2 : a]: 55.20/7.60 (((!!) @ (^[Y3 : a]: 55.20/7.60 (((((Y0 @ Y1 @ 55.20/7.60 Y2) & (Y0 @ 55.20/7.60 Y2 @ Y3))) => 55.20/7.60 (Y0 @ Y1 @ Y3)))))))))))))) => 55.20/7.60 (Y0 @ '#sk7' @ '#sk8')))))))) 55.20/7.60 | ~ (((!!) @ (^[Y0 : a]: 55.20/7.60 (((!!) @ (^[Y1 : a]: 55.20/7.60 (((((((!!) @ (^[Y2 : a > a > $o]: 55.20/7.60 (((((((!!) @ (^[Y3 : a]: 55.20/7.60 (((!!) @ ( 55.20/7.60 ^[Y4 : a]: 55.20/7.60 (( 55.20/7.60 (!!) @ ( 55.20/7.60 ^[Y5 : a]: 55.20/7.60 (( 55.20/7.60 (( 55.20/7.60 (Y2 @ 55.20/7.60 Y3 @ 55.20/7.60 Y4) & 55.20/7.60 (Y2 @ 55.20/7.60 Y4 @ Y5))) => 55.20/7.60 (Y2 @ 55.20/7.60 Y3 @ Y5)))))))))))) & 55.20/7.60 (((!!) @ (^[Y3 : a]: 55.20/7.60 (((!!) @ ( 55.20/7.60 ^[Y4 : a]: 55.20/7.60 (( 55.20/7.60 ('#sk2' @ 55.20/7.60 Y3 @ 55.20/7.60 Y4) => 55.20/7.60 (Y2 @ 55.20/7.60 Y3 @ Y4))))))))))) => 55.20/7.60 (Y2 @ Y0 @ Y1)))))) | 55.20/7.60 (((!!) @ (^[Y2 : a > a > $o]: 55.20/7.60 (((((((!!) @ (^[Y3 : a]: 55.20/7.60 (((!!) @ ( 55.20/7.60 ^[Y4 : a]: 55.20/7.60 (( 55.20/7.60 (!!) @ ( 55.20/7.60 ^[Y5 : a]: 55.20/7.60 (( 55.20/7.60 (( 55.20/7.60 (Y2 @ 55.20/7.60 Y3 @ 55.20/7.60 Y4) & 55.20/7.60 (Y2 @ 55.20/7.60 Y4 @ Y5))) => 55.20/7.60 (Y2 @ 55.20/7.60 Y3 @ Y5)))))))))))) & 55.20/7.60 (((!!) @ (^[Y3 : a]: 55.20/7.60 (((!!) @ ( 55.20/7.60 ^[Y4 : a]: 55.20/7.60 (( 55.20/7.60 ('#sk1' @ 55.20/7.60 Y3 @ 55.20/7.60 Y4) => 55.20/7.60 (Y2 @ 55.20/7.60 Y3 @ Y4))))))))))) => 55.20/7.60 (Y2 @ Y0 @ Y1)))))))) => 55.20/7.60 (((!!) @ (^[Y2 : a > a > $o]: 55.20/7.60 (((((((!!) @ (^[Y3 : a]: 55.20/7.60 (((!!) @ ( 55.20/7.60 ^[Y4 : a]: 55.20/7.60 ( 55.20/7.60 ( 55.20/7.60 (( 55.20/7.60 ('#sk2' @ 55.20/7.60 Y3 @ 55.20/7.60 Y4) | 55.20/7.60 ('#sk1' @ 55.20/7.60 Y3 @ Y4))) => 55.20/7.60 (Y2 @ 55.20/7.60 Y3 @ Y4))))))))) & 55.20/7.60 (((!!) @ (^[Y3 : a]: 55.20/7.60 (((!!) @ ( 55.20/7.60 ^[Y4 : a]: 55.20/7.60 ( 55.20/7.60 ( 55.20/7.60 (!!) @ ( 55.20/7.60 ^[Y5 : a]: 55.20/7.60 (( 55.20/7.60 (( 55.20/7.60 (Y2 @ 55.20/7.60 Y3 @ 55.20/7.60 Y4) & 55.20/7.60 (Y2 @ 55.20/7.60 Y4 @ Y5))) => 55.20/7.60 (Y2 @ 55.20/7.60 Y3 @ Y5)))))))))))))) => 55.20/7.60 (Y2 @ Y0 @ Y1)))))))))))))) 55.20/7.60 | (((!!) @ (^[Y0 : a > a > $o]: 55.20/7.60 (((((((!!) @ (^[Y1 : a]: 55.20/7.60 (((!!) @ (^[Y2 : a]: 55.20/7.60 ((((('#sk1' @ Y1 @ Y2) | 55.20/7.60 ('#sk2' @ Y1 @ Y2))) => 55.20/7.60 (Y0 @ Y1 @ Y2))))))))) & 55.20/7.60 (((!!) @ (^[Y1 : a]: 55.20/7.60 (((!!) @ (^[Y2 : a]: 55.20/7.60 (((!!) @ (^[Y3 : a]: 55.20/7.60 (((((Y0 @ Y1 @ 55.20/7.60 Y2) & (Y0 @ 55.20/7.60 Y2 @ Y3))) => 55.20/7.60 (Y0 @ Y1 @ Y3)))))))))))))) => 55.20/7.60 (Y0 @ '#sk3' @ '#sk4')))))))), 55.20/7.60 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl15])). 55.20/7.60 thf(zip_derived_cl22, plain, 55.20/7.60 (( (((!!) @ (^[Y0 : a > a > $o]: 55.20/7.60 (((((((!!) @ (^[Y1 : a]: 55.20/7.60 (((!!) @ (^[Y2 : a]: 55.20/7.60 ((((('#sk2' @ Y1 @ Y2) | 55.20/7.60 ('#sk1' @ Y1 @ Y2))) => 55.20/7.60 (Y0 @ Y1 @ Y2))))))))) & 55.20/7.60 (((!!) @ (^[Y1 : a]: 55.20/7.60 (((!!) @ (^[Y2 : a]: 55.20/7.60 (((!!) @ (^[Y3 : a]: 55.20/7.60 (((((Y0 @ Y1 @ 55.20/7.60 Y2) & (Y0 @ 55.20/7.60 Y2 @ Y3))) => 55.20/7.60 (Y0 @ Y1 @ Y3)))))))))))))) => 55.20/7.60 (Y0 @ '#sk6' @ '#sk7')))))) 55.20/7.60 | (((!!) @ (^[Y0 : a > a > $o]: 55.20/7.60 (((((((!!) @ (^[Y1 : a]: 55.20/7.60 (((!!) @ (^[Y2 : a]: 55.20/7.60 ((((('#sk1' @ Y1 @ Y2) | 55.20/7.60 ('#sk2' @ Y1 @ Y2))) => 55.20/7.60 (Y0 @ Y1 @ Y2))))))))) & 55.20/7.60 (((!!) @ (^[Y1 : a]: 55.20/7.60 (((!!) @ (^[Y2 : a]: 55.20/7.60 (((!!) @ (^[Y3 : a]: 55.20/7.60 (((((Y0 @ Y1 @ 55.20/7.60 Y2) & (Y0 @ 55.20/7.60 Y2 @ Y3))) => 55.20/7.60 (Y0 @ Y1 @ Y3)))))))))))))) => 55.20/7.60 (Y0 @ '#sk3' @ '#sk4')))))) 55.20/7.60 | ~ (((!!) @ (^[Y0 : a]: 55.20/7.60 (((!!) @ (^[Y1 : a]: 55.20/7.60 (((((((!!) @ (^[Y2 : a > a > $o]: 55.20/7.60 (((((((!!) @ (^[Y3 : a]: 55.20/7.60 (((!!) @ ( 55.20/7.60 ^[Y4 : a]: 55.20/7.60 (( 55.20/7.60 (!!) @ ( 55.20/7.60 ^[Y5 : a]: 55.20/7.60 (( 55.20/7.60 (( 55.20/7.60 (Y2 @ 55.20/7.60 Y3 @ 55.20/7.60 Y4) & 55.20/7.60 (Y2 @ 55.20/7.60 Y4 @ Y5))) => 55.20/7.60 (Y2 @ 55.20/7.60 Y3 @ Y5)))))))))))) & 55.20/7.60 (((!!) @ (^[Y3 : a]: 55.20/7.60 (((!!) @ ( 55.20/7.60 ^[Y4 : a]: 55.20/7.60 (( 55.20/7.60 ('#sk2' @ 55.20/7.60 Y3 @ 55.20/7.60 Y4) => 55.20/7.60 (Y2 @ 55.20/7.60 Y3 @ Y4))))))))))) => 55.20/7.60 (Y2 @ Y0 @ Y1)))))) | 55.20/7.60 (((!!) @ (^[Y2 : a > a > $o]: 55.20/7.60 (((((((!!) @ (^[Y3 : a]: 55.20/7.60 (((!!) @ ( 55.20/7.60 ^[Y4 : a]: 55.20/7.60 (( 55.20/7.60 (!!) @ ( 55.20/7.60 ^[Y5 : a]: 55.20/7.60 (( 55.20/7.60 (( 55.20/7.60 (Y2 @ 55.20/7.60 Y3 @ 55.20/7.60 Y4) & 55.20/7.60 (Y2 @ 55.20/7.60 Y4 @ Y5))) => 55.20/7.60 (Y2 @ 55.20/7.60 Y3 @ Y5)))))))))))) & 55.20/7.60 (((!!) @ (^[Y3 : a]: 55.20/7.60 (((!!) @ ( 55.20/7.60 ^[Y4 : a]: 55.20/7.60 (( 55.20/7.60 ('#sk1' @ 55.20/7.60 Y3 @ 55.20/7.60 Y4) => 55.20/7.60 (Y2 @ 55.20/7.60 Y3 @ Y4))))))))))) => 55.20/7.60 (Y2 @ Y0 @ Y1)))))))) => 55.20/7.60 (((!!) @ (^[Y2 : a > a > $o]: 55.20/7.60 (((((((!!) @ (^[Y3 : a]: 55.20/7.60 (((!!) @ ( 55.20/7.60 ^[Y4 : a]: 55.20/7.60 ( 55.20/7.60 ( 55.20/7.60 (( 55.20/7.60 ('#sk2' @ 55.20/7.60 Y3 @ 55.20/7.60 Y4) | 55.20/7.60 ('#sk1' @ 55.20/7.60 Y3 @ Y4))) => 55.20/7.60 (Y2 @ 55.20/7.60 Y3 @ Y4))))))))) & 55.20/7.60 (((!!) @ (^[Y3 : a]: 55.20/7.60 (((!!) @ ( 55.20/7.60 ^[Y4 : a]: 55.20/7.60 ( 55.20/7.60 ( 55.20/7.60 (!!) @ ( 55.20/7.60 ^[Y5 : a]: 55.20/7.60 (( 55.20/7.60 (( 55.20/7.60 (Y2 @ 55.20/7.60 Y3 @ 55.20/7.60 Y4) & 55.20/7.60 (Y2 @ 55.20/7.60 Y4 @ Y5))) => 55.20/7.60 (Y2 @ 55.20/7.60 Y3 @ Y5)))))))))))))) => 55.20/7.60 (Y2 @ Y0 @ Y1)))))))))))))))), 55.20/7.60 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl18])). 55.20/7.60 thf(zip_derived_cl22, plain, 55.20/7.60 (( (((!!) @ (^[Y0 : a > a > $o]: 55.20/7.60 (((((((!!) @ (^[Y1 : a]: 55.20/7.60 (((!!) @ (^[Y2 : a]: 55.20/7.60 ((((('#sk2' @ Y1 @ Y2) | 55.20/7.60 ('#sk1' @ Y1 @ Y2))) => 55.20/7.60 (Y0 @ Y1 @ Y2))))))))) & 55.20/7.60 (((!!) @ (^[Y1 : a]: 55.20/7.60 (((!!) @ (^[Y2 : a]: 55.20/7.60 (((!!) @ (^[Y3 : a]: 55.20/7.60 (((((Y0 @ Y1 @ 55.20/7.60 Y2) & (Y0 @ 55.20/7.60 Y2 @ Y3))) => 55.20/7.60 (Y0 @ Y1 @ Y3)))))))))))))) => 55.20/7.60 (Y0 @ '#sk6' @ '#sk7')))))) 55.20/7.60 | (((!!) @ (^[Y0 : a > a > $o]: 55.20/7.60 (((((((!!) @ (^[Y1 : a]: 55.20/7.60 (((!!) @ (^[Y2 : a]: 55.20/7.60 ((((('#sk1' @ Y1 @ Y2) | 55.20/7.60 ('#sk2' @ Y1 @ Y2))) => 55.20/7.60 (Y0 @ Y1 @ Y2))))))))) & 55.20/7.60 (((!!) @ (^[Y1 : a]: 55.20/7.60 (((!!) @ (^[Y2 : a]: 55.20/7.60 (((!!) @ (^[Y3 : a]: 55.20/7.60 (((((Y0 @ Y1 @ 55.20/7.60 Y2) & (Y0 @ 55.20/7.60 Y2 @ Y3))) => 55.20/7.60 (Y0 @ Y1 @ Y3)))))))))))))) => 55.20/7.60 (Y0 @ '#sk3' @ '#sk4')))))) 55.20/7.60 | ~ (((!!) @ (^[Y0 : a]: 55.20/7.60 (((!!) @ (^[Y1 : a]: 55.20/7.60 (((((((!!) @ (^[Y2 : a > a > $o]: 55.20/7.60 (((((((!!) @ (^[Y3 : a]: 55.20/7.60 (((!!) @ ( 55.20/7.60 ^[Y4 : a]: 55.20/7.60 (( 55.20/7.60 (!!) @ ( 55.20/7.60 ^[Y5 : a]: 55.20/7.60 (( 55.20/7.60 (( 55.20/7.60 (Y2 @ 55.20/7.60 Y3 @ 55.20/7.60 Y4) & 55.20/7.60 (Y2 @ 55.20/7.60 Y4 @ Y5))) => 55.20/7.60 (Y2 @ 55.20/7.60 Y3 @ Y5)))))))))))) & 55.20/7.60 (((!!) @ (^[Y3 : a]: 55.20/7.60 (((!!) @ ( 55.20/7.60 ^[Y4 : a]: 55.20/7.60 (( 55.20/7.60 ('#sk2' @ 55.20/7.60 Y3 @ 55.20/7.60 Y4) => 55.20/7.60 (Y2 @ 55.20/7.60 Y3 @ Y4))))))))))) => 55.20/7.60 (Y2 @ Y0 @ Y1)))))) | 55.20/7.60 (((!!) @ (^[Y2 : a > a > $o]: 55.20/7.60 (((((((!!) @ (^[Y3 : a]: 55.20/7.60 (((!!) @ ( 55.20/7.60 ^[Y4 : a]: 55.20/7.60 (( 55.20/7.60 (!!) @ ( 55.20/7.60 ^[Y5 : a]: 55.20/7.60 (( 55.20/7.60 (( 55.20/7.60 (Y2 @ 55.20/7.60 Y3 @ 55.20/7.60 Y4) & 55.20/7.60 (Y2 @ 55.20/7.60 Y4 @ Y5))) => 55.20/7.60 (Y2 @ 55.20/7.60 Y3 @ Y5)))))))))))) & 55.20/7.60 (((!!) @ (^[Y3 : a]: 55.20/7.60 (((!!) @ ( 55.20/7.60 ^[Y4 : a]: 55.20/7.60 (( 55.20/7.60 ('#sk1' @ 55.20/7.60 Y3 @ 55.20/7.60 Y4) => 55.20/7.60 (Y2 @ 55.20/7.60 Y3 @ Y4))))))))))) => 55.20/7.60 (Y2 @ Y0 @ Y1)))))))) => 55.20/7.60 (((!!) @ (^[Y2 : a > a > $o]: 55.20/7.60 (((((((!!) @ (^[Y3 : a]: 55.20/7.60 (((!!) @ ( 55.20/7.60 ^[Y4 : a]: 55.20/7.60 ( 55.20/7.60 ( 55.20/7.60 (( 55.20/7.60 ('#sk2' @ 55.20/7.60 Y3 @ 55.20/7.60 Y4) | 55.20/7.60 ('#sk1' @ 55.20/7.60 Y3 @ Y4))) => 55.20/7.60 (Y2 @ 55.20/7.60 Y3 @ Y4))))))))) & 55.20/7.60 (((!!) @ (^[Y3 : a]: 55.20/7.60 (((!!) @ ( 55.20/7.60 ^[Y4 : a]: 55.20/7.60 ( 55.20/7.60 ( 55.20/7.60 (!!) @ ( 55.20/7.60 ^[Y5 : a]: 55.20/7.60 (( 55.20/7.60 (( 55.20/7.60 (Y2 @ 55.20/7.60 Y3 @ 55.20/7.60 Y4) & 55.20/7.60 (Y2 @ 55.20/7.60 Y4 @ Y5))) => 55.20/7.60 (Y2 @ 55.20/7.60 Y3 @ Y5)))))))))))))) => 55.20/7.60 (Y2 @ Y0 @ Y1)))))))))))))))), 55.20/7.60 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl18])). 55.20/7.60 thf(zip_derived_cl29, plain, 55.20/7.60 ((~ ('#form11') 55.20/7.60 | (((!!) @ (^[Y0 : a > a > $o]: 55.20/7.60 (((((((!!) @ (^[Y1 : a]: 55.20/7.60 (((!!) @ (^[Y2 : a]: 55.20/7.60 ((((('#sk1' @ Y1 @ Y2) | 55.20/7.60 ('#sk2' @ Y1 @ Y2))) => 55.20/7.60 (Y0 @ Y1 @ Y2))))))))) & 55.20/7.60 (((!!) @ (^[Y1 : a]: 55.20/7.60 (((!!) @ (^[Y2 : a]: 55.20/7.60 (((!!) @ (^[Y3 : a]: 55.20/7.60 (((((Y0 @ Y1 @ 55.20/7.60 Y2) & (Y0 @ 55.20/7.60 Y2 @ Y3))) => 55.20/7.60 (Y0 @ Y1 @ Y3)))))))))))))) => 55.20/7.60 (Y0 @ '#sk3' @ '#sk4')))))))), 55.20/7.60 define([status(thm)])). 55.20/7.60 thf(zip_derived_cl34, plain, 55.20/7.60 (( ('#form11') 55.20/7.60 | ~ (((!!) @ (^[Y0 : a]: 55.20/7.60 (((!!) @ (^[Y1 : a]: 55.20/7.60 (((((((!!) @ (^[Y2 : a > a > $o]: 55.20/7.60 (((((((!!) @ (^[Y3 : a]: 55.20/7.60 (((!!) @ ( 55.20/7.60 ^[Y4 : a]: 55.20/7.60 (( 55.20/7.60 (!!) @ ( 55.20/7.60 ^[Y5 : a]: 55.20/7.60 (( 55.20/7.60 (( 55.20/7.60 (Y2 @ 55.20/7.60 Y3 @ 55.20/7.60 Y4) & 55.20/7.60 (Y2 @ 55.20/7.60 Y4 @ Y5))) => 55.20/7.60 (Y2 @ 55.20/7.60 Y3 @ Y5)))))))))))) & 55.20/7.60 (((!!) @ (^[Y3 : a]: 55.20/7.60 (((!!) @ ( 55.20/7.60 ^[Y4 : a]: 55.20/7.60 (( 55.20/7.60 ('#sk2' @ 55.20/7.60 Y3 @ 55.20/7.60 Y4) => 55.20/7.60 (Y2 @ 55.20/7.60 Y3 @ Y4))))))))))) => 55.20/7.60 (Y2 @ Y0 @ Y1)))))) | 55.20/7.60 (((!!) @ (^[Y2 : a > a > $o]: 55.20/7.60 (((((((!!) @ (^[Y3 : a]: 55.20/7.60 (((!!) @ ( 55.20/7.60 ^[Y4 : a]: 55.20/7.60 (( 55.20/7.60 (!!) @ ( 55.20/7.60 ^[Y5 : a]: 55.20/7.60 (( 55.20/7.60 (( 55.20/7.60 (Y2 @ 55.20/7.60 Y3 @ 55.20/7.60 Y4) & 55.20/7.60 (Y2 @ 55.20/7.60 Y4 @ Y5))) => 55.20/7.60 (Y2 @ 55.20/7.60 Y3 @ Y5)))))))))))) & 55.20/7.60 (((!!) @ (^[Y3 : a]: 55.20/7.60 (((!!) @ ( 55.20/7.60 ^[Y4 : a]: 55.20/7.60 (( 55.20/7.60 ('#sk1' @ 55.20/7.60 Y3 @ 55.20/7.60 Y4) => 55.20/7.60 (Y2 @ 55.20/7.60 Y3 @ Y4))))))))))) => 55.20/7.60 (Y2 @ Y0 @ Y1)))))))) => 55.20/7.60 (((!!) @ (^[Y2 : a > a > $o]: 55.20/7.60 (((((((!!) @ (^[Y3 : a]: 55.20/7.60 (((!!) @ ( 55.20/7.60 ^[Y4 : a]: 55.20/7.60 ( 55.20/7.60 ( 55.20/7.60 (( 55.20/7.60 ('#sk2' @ 55.20/7.60 Y3 @ 55.20/7.60 Y4) | 55.20/7.60 ('#sk1' @ 55.20/7.60 Y3 @ Y4))) => 55.20/7.60 (Y2 @ 55.20/7.60 Y3 @ Y4))))))))) & 55.20/7.60 (((!!) @ (^[Y3 : a]: 55.20/7.60 (((!!) @ ( 55.20/7.60 ^[Y4 : a]: 55.20/7.60 ( 55.20/7.60 ( 55.20/7.60 (!!) @ ( 55.20/7.60 ^[Y5 : a]: 55.20/7.60 (( 55.20/7.60 (( 55.20/7.60 (Y2 @ 55.20/7.60 Y3 @ 55.20/7.60 Y4) & 55.20/7.60 (Y2 @ 55.20/7.60 Y4 @ Y5))) => 55.20/7.60 (Y2 @ 55.20/7.60 Y3 @ Y5)))))))))))))) => 55.20/7.60 (Y2 @ Y0 @ Y1)))))))))))))) 55.20/7.60 | (((!!) @ (^[Y0 : a > a > $o]: 55.20/7.60 (((((((!!) @ (^[Y1 : a]: 55.20/7.60 (((!!) @ (^[Y2 : a]: 55.20/7.60 ((((('#sk2' @ Y1 @ Y2) | 55.20/7.60 ('#sk1' @ Y1 @ Y2))) => 55.20/7.60 (Y0 @ Y1 @ Y2))))))))) & 55.20/7.60 (((!!) @ (^[Y1 : a]: 55.20/7.60 (((!!) @ (^[Y2 : a]: 55.20/7.60 (((!!) @ (^[Y3 : a]: 55.20/7.60 (((((Y0 @ Y1 @ 55.20/7.60 Y2) & (Y0 @ 55.20/7.60 Y2 @ Y3))) => 55.20/7.60 (Y0 @ Y1 @ Y3)))))))))))))) => 55.20/7.60 (Y0 @ '#sk6' @ '#sk7')))))))), 55.20/7.60 inference('renaming', [status(thm)], [zip_derived_cl22, zip_derived_cl29])). 55.20/7.60 thf(zip_derived_cl24, plain, 55.20/7.60 (( ('#form9') 55.20/7.60 | ~ (((!!) @ (^[Y0 : a]: 55.20/7.60 (((!!) @ (^[Y1 : a]: 55.20/7.60 (((((((!!) @ (^[Y2 : a > a > $o]: 55.20/7.60 (((((((!!) @ (^[Y3 : a]: 55.20/7.60 (((!!) @ ( 55.20/7.60 ^[Y4 : a]: 55.20/7.60 (( 55.20/7.60 (!!) @ ( 55.20/7.60 ^[Y5 : a]: 55.20/7.60 (( 55.20/7.60 (( 55.20/7.60 (Y2 @ 55.20/7.60 Y3 @ 55.20/7.60 Y4) & 55.20/7.60 (Y2 @ 55.20/7.60 Y4 @ Y5))) => 55.20/7.60 (Y2 @ 55.20/7.60 Y3 @ Y5)))))))))))) & 55.20/7.60 (((!!) @ (^[Y3 : a]: 55.20/7.60 (((!!) @ ( 55.20/7.60 ^[Y4 : a]: 55.20/7.60 (( 55.20/7.60 ('#sk2' @ 55.20/7.60 Y3 @ 55.20/7.60 Y4) => 55.20/7.60 (Y2 @ 55.20/7.60 Y3 @ Y4))))))))))) => 55.20/7.60 (Y2 @ Y0 @ Y1)))))) | 55.20/7.60 (((!!) @ (^[Y2 : a > a > $o]: 55.20/7.60 (((((((!!) @ (^[Y3 : a]: 55.20/7.60 (((!!) @ ( 55.20/7.60 ^[Y4 : a]: 55.20/7.60 (( 55.20/7.60 (!!) @ ( 55.20/7.60 ^[Y5 : a]: 55.20/7.60 (( 55.20/7.60 (( 55.20/7.60 (Y2 @ 55.20/7.60 Y3 @ 55.20/7.60 Y4) & 55.20/7.60 (Y2 @ 55.20/7.60 Y4 @ Y5))) => 55.20/7.60 (Y2 @ 55.20/7.60 Y3 @ Y5)))))))))))) & 55.20/7.60 (((!!) @ (^[Y3 : a]: 55.20/7.60 (((!!) @ ( 55.20/7.60 ^[Y4 : a]: 55.20/7.60 (( 55.20/7.60 ('#sk1' @ 55.20/7.60 Y3 @ 55.20/7.60 Y4) => 55.20/7.60 (Y2 @ 55.20/7.60 Y3 @ Y4))))))))))) => 55.20/7.60 (Y2 @ Y0 @ Y1)))))))) => 55.20/7.60 (((!!) @ (^[Y2 : a > a > $o]: 55.20/7.60 (((((((!!) @ (^[Y3 : a]: 55.20/7.60 (((!!) @ ( 55.20/7.60 ^[Y4 : a]: 55.20/7.60 ( 55.20/7.60 ( 55.20/7.60 (( 55.20/7.60 ('#sk2' @ 55.20/7.60 Y3 @ 55.20/7.60 Y4) | 55.20/7.60 ('#sk1' @ 55.20/7.60 Y3 @ Y4))) => 55.20/7.60 (Y2 @ 55.20/7.60 Y3 @ Y4))))))))) & 55.20/7.60 (((!!) @ (^[Y3 : a]: 55.20/7.60 (((!!) @ ( 55.20/7.60 ^[Y4 : a]: 55.20/7.60 ( 55.20/7.60 ( 55.20/7.60 (!!) @ ( 55.20/7.60 ^[Y5 : a]: 55.20/7.60 (( 55.20/7.60 (( 55.20/7.60 (Y2 @ 55.20/7.60 Y3 @ 55.20/7.60 Y4) & 55.20/7.60 (Y2 @ 55.20/7.60 Y4 @ Y5))) => 55.20/7.60 (Y2 @ 55.20/7.60 Y3 @ Y5)))))))))))))) => 55.20/7.60 (Y2 @ Y0 @ Y1)))))))))))))))), 55.20/7.60 define([status(thm)])). 55.20/7.60 thf(zip_derived_cl41, plain, 55.20/7.60 ((~ ('#form9') 55.20/7.60 | (((!!) @ (^[Y0 : a > a > $o]: 55.20/7.60 (((((((!!) @ (^[Y1 : a]: 55.20/7.60 (((!!) @ (^[Y2 : a]: 55.20/7.60 ((((('#sk2' @ Y1 @ Y2) | 55.20/7.60 ('#sk1' @ Y1 @ Y2))) => 55.20/7.60 (Y0 @ Y1 @ Y2))))))))) & 55.20/7.60 (((!!) @ (^[Y1 : a]: 55.20/7.60 (((!!) @ (^[Y2 : a]: 55.20/7.60 (((!!) @ (^[Y3 : a]: 55.20/7.60 (((((Y0 @ Y1 @ 55.20/7.60 Y2) & (Y0 @ 55.20/7.60 Y2 @ Y3))) => 55.20/7.60 (Y0 @ Y1 @ Y3)))))))))))))) => 55.20/7.60 (Y0 @ '#sk6' @ '#sk7')))))) 55.20/7.60 | ('#form11'))), 55.20/7.60 inference('renaming', [status(thm)], [zip_derived_cl34, zip_derived_cl24])). 55.20/7.60 thf(zip_derived_cl49, plain, 55.20/7.60 (![X2 : a > a > $o]: 55.20/7.60 ( (((((((!!) @ (^[Y0 : a]: 55.20/7.60 (((!!) @ (^[Y1 : a]: 55.20/7.60 ((((('#sk2' @ Y0 @ Y1) | ('#sk1' @ Y0 @ 55.20/7.60 Y1))) => 55.20/7.60 (X2 @ Y0 @ Y1))))))))) & 55.20/7.60 (((!!) @ (^[Y0 : a]: 55.20/7.60 (((!!) @ (^[Y1 : a]: 55.20/7.60 (((!!) @ (^[Y2 : a]: 55.20/7.60 (((((X2 @ Y0 @ Y1) & (X2 @ 55.20/7.60 Y1 @ Y2))) => 55.20/7.60 (X2 @ Y0 @ Y2)))))))))))))) => 55.20/7.60 (X2 @ '#sk6' @ '#sk7'))) 55.20/7.60 | ('#form11') 55.20/7.60 | ~ ('#form9'))), 55.20/7.60 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl41])). 55.20/7.60 thf(zip_derived_cl67, plain, 55.20/7.60 (![X2 : a > a > $o]: 55.20/7.60 (~ (((((!!) @ (^[Y0 : a]: 55.20/7.60 (((!!) @ (^[Y1 : a]: 55.20/7.60 ((((('#sk2' @ Y0 @ Y1) | ('#sk1' @ Y0 @ 55.20/7.60 Y1))) => 55.20/7.60 (X2 @ Y0 @ Y1))))))))) & 55.20/7.60 (((!!) @ (^[Y0 : a]: 55.20/7.60 (((!!) @ (^[Y1 : a]: 55.20/7.60 (((!!) @ (^[Y2 : a]: 55.20/7.60 (((((X2 @ Y0 @ Y1) & (X2 @ 55.20/7.60 Y1 @ Y2))) => 55.20/7.60 (X2 @ Y0 @ Y2)))))))))))))) 55.20/7.60 | (X2 @ '#sk6' @ '#sk7') 55.20/7.60 | ~ ('#form9') 55.20/7.60 | ('#form11'))), 55.20/7.60 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl49])). 55.20/7.60 thf(zip_derived_cl80, plain, 55.20/7.60 (![X2 : a > a > $o]: 55.20/7.60 (~ (((!!) @ (^[Y0 : a]: 55.20/7.60 (((!!) @ (^[Y1 : a]: 55.20/7.60 ((((('#sk2' @ Y0 @ Y1) | ('#sk1' @ Y0 @ Y1))) => 55.20/7.60 (X2 @ Y0 @ Y1))))))))) 55.20/7.60 | ~ (((!!) @ (^[Y0 : a]: 55.20/7.60 (((!!) @ (^[Y1 : a]: 55.20/7.60 (((!!) @ (^[Y2 : a]: 55.20/7.60 (((((X2 @ Y0 @ Y1) & (X2 @ 55.20/7.60 Y1 @ Y2))) => 55.20/7.60 (X2 @ Y0 @ Y2)))))))))))) 55.20/7.60 | ('#form11') 55.20/7.60 | ~ ('#form9') 55.20/7.60 | (X2 @ '#sk6' @ '#sk7'))), 55.20/7.60 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl67])). 55.20/7.60 thf(zip_derived_cl95, plain, 55.20/7.60 (![X2 : a > a > $o]: 55.20/7.60 ( ('#form103' @ X2) 55.20/7.60 | ~ (((!!) @ (^[Y0 : a]: 55.20/7.60 (((!!) @ (^[Y1 : a]: 55.20/7.60 (((!!) @ (^[Y2 : a]: 55.20/7.60 (((((X2 @ Y0 @ Y1) & (X2 @ 55.20/7.60 Y1 @ Y2))) => 55.20/7.60 (X2 @ Y0 @ Y2)))))))))))))), 55.20/7.60 define([status(thm)])). 55.20/7.60 thf(zip_derived_cl127, plain, 55.20/7.60 (![X2 : a > a > $o]: 55.20/7.60 (~ ('#form103' @ (^[Y0 : a,Y1 : a]: (X2 @ Y0 @ Y1))) 55.20/7.60 | (X2 @ '#sk10' @ '#sk12') 55.20/7.60 | ~ ('#form94') 55.20/7.60 | ~ (((!!) @ (^[Y0 : a]: 55.20/7.60 (((!!) @ (^[Y1 : a]: 55.20/7.60 ((('#sk1' @ Y0 @ Y1) => (X2 @ Y0 @ Y1))))))))))), 55.20/7.60 inference('renaming', [status(thm)], 55.20/7.60 [zip_derived_cl116, zip_derived_cl95])). 55.20/7.60 thf(zip_derived_cl139, plain, 55.20/7.60 (![X2 : a > a > $o]: 55.20/7.60 (~ ('#form103' @ X2) 55.20/7.60 | (X2 @ '#sk10' @ '#sk12') 55.20/7.60 | ~ ('#form94') 55.20/7.60 | ~ (((!!) @ (^[Y0 : a]: 55.20/7.60 (((!!) @ (^[Y1 : a]: 55.20/7.60 ((('#sk1' @ Y0 @ Y1) => (X2 @ Y0 @ Y1))))))))))), 55.20/7.60 inference('ho_norm', [status(thm)], [zip_derived_cl127])). 55.20/7.60 thf(zip_derived_cl140, plain, 55.20/7.60 (![X2 : a > a > $o]: 55.20/7.60 (~ (((!!) @ (^[Y0 : a]: 55.20/7.60 ((('#sk1' @ ('#sk348' @ X2) @ Y0) => (X2 @ 55.20/7.60 ('#sk348' @ X2) @ Y0)))))) 55.20/7.60 | ~ ('#form94') 55.20/7.60 | (X2 @ '#sk10' @ '#sk12') 55.20/7.60 | ~ ('#form103' @ X2))), 55.20/7.60 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl139])). 55.20/7.60 thf(zip_derived_cl149, plain, 55.20/7.60 (![X2 : a > a > $o]: 55.20/7.60 (~ ((('#sk1' @ ('#sk348' @ X2) @ ('#sk412' @ X2)) => (X2 @ 55.20/7.60 ('#sk348' @ X2) @ ('#sk412' @ X2)))) 55.20/7.60 | ~ ('#form103' @ X2) 55.20/7.60 | (X2 @ '#sk10' @ '#sk12') 55.20/7.60 | ~ ('#form94'))), 55.20/7.60 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl140])). 55.20/7.60 thf(zip_derived_cl153, plain, 55.20/7.60 (![X2 : a > a > $o]: 55.20/7.60 ( ('#sk1' @ ('#sk348' @ X2) @ ('#sk412' @ X2)) 55.20/7.60 | ~ ('#form94') 55.20/7.60 | (X2 @ '#sk10' @ '#sk12') 55.20/7.60 | ~ ('#form103' @ X2))), 55.20/7.60 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl149])). 55.20/7.60 thf(zip_derived_cl78, plain, 55.20/7.60 (( (((((!!) @ (^[Y0 : a]: 55.20/7.60 (((!!) @ (^[Y1 : a]: 55.20/7.60 ((((('#sk2' @ Y0 @ Y1) | ('#sk1' @ Y0 @ Y1))) => 55.20/7.60 ('#sk30' @ Y0 @ Y1))))))))) & 55.20/7.60 (((!!) @ (^[Y0 : a]: 55.20/7.60 (((!!) @ (^[Y1 : a]: 55.20/7.60 (((!!) @ (^[Y2 : a]: 55.20/7.60 ((((('#sk30' @ Y0 @ Y1) & 55.20/7.60 ('#sk30' @ Y1 @ Y2))) => 55.20/7.60 ('#sk30' @ Y0 @ Y2)))))))))))))) 55.20/7.60 | ('#form9'))), 55.20/7.60 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl66])). 55.20/7.60 thf(zip_derived_cl93, plain, 55.20/7.60 (( (((!!) @ (^[Y0 : a]: 55.20/7.60 (((!!) @ (^[Y1 : a]: 55.20/7.60 ((((('#sk2' @ Y0 @ Y1) | ('#sk1' @ Y0 @ Y1))) => 55.20/7.60 ('#sk30' @ Y0 @ Y1))))))))) 55.20/7.60 | ('#form9'))), 55.20/7.60 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl78])). 55.20/7.60 thf(zip_derived_cl104, plain, 55.20/7.60 (![X2 : a]: 55.20/7.60 ( (((!!) @ (^[Y0 : a]: 55.20/7.60 ((((('#sk2' @ X2 @ Y0) | ('#sk1' @ X2 @ Y0))) => 55.20/7.60 ('#sk30' @ X2 @ Y0)))))) 55.20/7.60 | ('#form9'))), 55.20/7.60 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl93])). 55.20/7.60 thf(zip_derived_cl117, plain, 55.20/7.60 (![X2 : a, X4 : a]: 55.20/7.60 ( ((((('#sk2' @ X2 @ X4) | ('#sk1' @ X2 @ X4))) => ('#sk30' @ X2 @ X4))) 55.20/7.60 | ('#form9'))), 55.20/7.60 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl104])). 55.20/7.60 thf(zip_derived_cl128, plain, 55.20/7.60 (![X2 : a, X4 : a]: 55.20/7.60 (~ ((('#sk2' @ X2 @ X4) | ('#sk1' @ X2 @ X4))) 55.20/7.60 | ('#sk30' @ X2 @ X4) 55.20/7.60 | ('#form9'))), 55.20/7.60 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl117])). 55.20/7.60 thf(zip_derived_cl142, plain, 55.20/7.60 (![X2 : a, X4 : a]: 55.20/7.60 (~ ('#sk1' @ X2 @ X4) | ('#form9') | ('#sk30' @ X2 @ X4))), 55.20/7.60 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl128])). 55.20/7.60 thf(zip_derived_cl154, plain, 55.20/7.60 (![X2 : a > a > $o]: 55.20/7.60 (~ (X2 @ ('#sk348' @ X2) @ ('#sk412' @ X2)) 55.20/7.60 | ~ ('#form94') 55.20/7.60 | (X2 @ '#sk10' @ '#sk12') 55.20/7.60 | ~ ('#form103' @ X2))), 55.20/7.60 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl149])). 55.20/7.60 thf(zip_derived_cl72, plain, 55.20/7.60 (![X2 : a > a > $o]: 55.20/7.60 ( (((((((!!) @ (^[Y0 : a]: 55.20/7.60 (((!!) @ (^[Y1 : a]: 55.20/7.60 (((!!) @ (^[Y2 : a]: 55.20/7.60 (((((X2 @ Y0 @ Y1) & (X2 @ 55.20/7.60 Y1 @ Y2))) => 55.20/7.60 (X2 @ Y0 @ Y2)))))))))))) & 55.20/7.60 (((!!) @ (^[Y0 : a]: 55.20/7.60 (((!!) @ (^[Y1 : a]: 55.20/7.60 ((('#sk2' @ Y0 @ Y1) => (X2 @ Y0 @ Y1))))))))))) => 55.20/7.60 (X2 @ '#sk10' @ '#sk12'))) 55.20/7.60 | ('#form9') 55.20/7.60 | (((!!) @ (^[Y0 : a > a > $o]: 55.20/7.60 (((((((!!) @ (^[Y1 : a]: 55.20/7.60 (((!!) @ (^[Y2 : a]: 55.20/7.60 (((!!) @ (^[Y3 : a]: 55.20/7.60 (((((Y0 @ 55.20/7.60 Y1 @ Y2) & 55.20/7.60 (Y0 @ 55.20/7.60 Y2 @ Y3))) => 55.20/7.60 (Y0 @ Y1 @ 55.20/7.60 Y3)))))))))))) & 55.20/7.60 (((!!) @ (^[Y1 : a]: 55.20/7.60 (((!!) @ (^[Y2 : a]: 55.20/7.60 ((('#sk1' @ Y1 @ Y2) => 55.20/7.60 (Y0 @ Y1 @ Y2))))))))))) => 55.20/7.60 (Y0 @ '#sk10' @ '#sk12')))))))), 55.20/7.60 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl62])). 55.20/7.60 thf(zip_derived_cl73, plain, 55.20/7.60 (( (((((((!!) @ (^[Y0 : a]: 55.20/7.60 (((!!) @ (^[Y1 : a]: 55.20/7.60 (((!!) @ (^[Y2 : a]: 55.20/7.60 ((((('#sk30' @ Y0 @ Y1) & 55.20/7.60 ('#sk30' @ Y1 @ Y2))) => 55.20/7.60 ('#sk30' @ Y0 @ Y2)))))))))))) & 55.20/7.60 (((!!) @ (^[Y0 : a]: 55.20/7.60 (((!!) @ (^[Y1 : a]: 55.20/7.60 ((('#sk2' @ Y0 @ Y1) => ('#sk30' @ Y0 @ 55.20/7.60 Y1))))))))))) => 55.20/7.60 ('#sk30' @ '#sk10' @ '#sk12'))) 55.20/7.60 | ('#form9') 55.20/7.60 | (((!!) @ (^[Y0 : a > a > $o]: 55.20/7.60 (((((((!!) @ (^[Y1 : a]: 55.20/7.60 (((!!) @ (^[Y2 : a]: 55.20/7.60 (((!!) @ (^[Y3 : a]: 55.20/7.60 (((((Y0 @ Y1 @ 55.20/7.60 Y2) & (Y0 @ 55.20/7.60 Y2 @ Y3))) => 55.20/7.60 (Y0 @ Y1 @ Y3)))))))))))) & 55.20/7.60 (((!!) @ (^[Y1 : a]: 55.20/7.60 (((!!) @ (^[Y2 : a]: 55.20/7.60 ((('#sk1' @ Y1 @ Y2) => 55.20/7.60 (Y0 @ Y1 @ Y2))))))))))) => 55.20/7.60 (Y0 @ '#sk10' @ '#sk12')))))))), 55.20/7.60 inference('triggered_bool_instantiation', [status(thm)], 55.20/7.60 [zip_derived_cl72])). 55.20/7.60 thf(zip_derived_cl85, plain, 55.20/7.60 ((~ ('#form94') 55.20/7.60 | (((!!) @ (^[Y0 : a > a > $o]: 55.20/7.60 (((((((!!) @ (^[Y1 : a]: 55.20/7.60 (((!!) @ (^[Y2 : a]: 55.20/7.60 (((!!) @ (^[Y3 : a]: 55.20/7.60 (((((Y0 @ Y1 @ 55.20/7.60 Y2) & (Y0 @ 55.20/7.60 Y2 @ Y3))) => 55.20/7.60 (Y0 @ Y1 @ Y3)))))))))))) & 55.20/7.60 (((!!) @ (^[Y1 : a]: 55.20/7.60 (((!!) @ (^[Y2 : a]: 55.20/7.60 ((('#sk1' @ Y1 @ Y2) => 55.20/7.60 (Y0 @ Y1 @ Y2))))))))))) => 55.20/7.60 (Y0 @ '#sk10' @ '#sk12')))))))), 55.20/7.60 define([status(thm)])). 55.20/7.60 thf(zip_derived_cl270, plain, 55.20/7.60 (( ('#form94') 55.20/7.60 | ('#form9') 55.20/7.60 | (((((((!!) @ (^[Y0 : a]: 55.20/7.60 (((!!) @ (^[Y1 : a]: 55.20/7.60 (((!!) @ (^[Y2 : a]: 55.20/7.60 ((((('#sk30' @ Y0 @ Y1) & 55.20/7.60 ('#sk30' @ Y1 @ Y2))) => 55.20/7.60 ('#sk30' @ Y0 @ Y2)))))))))))) & 55.20/7.60 (((!!) @ (^[Y0 : a]: 55.20/7.60 (((!!) @ (^[Y1 : a]: 55.20/7.60 ((('#sk2' @ Y0 @ Y1) => ('#sk30' @ Y0 @ 55.20/7.60 Y1))))))))))) => 55.20/7.60 ('#sk30' @ '#sk10' @ '#sk12'))))), 55.20/7.60 inference('renaming', [status(thm)], [zip_derived_cl73, zip_derived_cl85])). 55.20/7.60 thf(zip_derived_cl271, plain, 55.20/7.60 ((~ (((((!!) @ (^[Y0 : a]: 55.20/7.60 (((!!) @ (^[Y1 : a]: 55.20/7.60 (((!!) @ (^[Y2 : a]: 55.20/7.60 ((((('#sk30' @ Y0 @ Y1) & 55.20/7.60 ('#sk30' @ Y1 @ Y2))) => 55.20/7.60 ('#sk30' @ Y0 @ Y2)))))))))))) & 55.20/7.60 (((!!) @ (^[Y0 : a]: 55.20/7.60 (((!!) @ (^[Y1 : a]: 55.20/7.60 ((('#sk2' @ Y0 @ Y1) => ('#sk30' @ Y0 @ Y1))))))))))) 55.20/7.60 | ('#sk30' @ '#sk10' @ '#sk12') 55.20/7.60 | ('#form9') 55.20/7.60 | ('#form94'))), 55.20/7.60 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl270])). 55.20/7.60 thf(zip_derived_cl79, plain, 55.20/7.60 ((~ ('#sk30' @ '#sk10' @ '#sk12') | ('#form9'))), 55.20/7.60 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl66])). 55.20/7.60 thf(zip_derived_cl272, plain, 55.20/7.60 (( ('#form94') 55.20/7.60 | ('#form9') 55.20/7.60 | ~ (((((!!) @ (^[Y0 : a]: 55.20/7.60 (((!!) @ (^[Y1 : a]: 55.20/7.60 (((!!) @ (^[Y2 : a]: 55.20/7.60 ((((('#sk30' @ Y0 @ Y1) & 55.20/7.60 ('#sk30' @ Y1 @ Y2))) => 55.20/7.60 ('#sk30' @ Y0 @ Y2)))))))))))) & 55.20/7.60 (((!!) @ (^[Y0 : a]: 55.20/7.60 (((!!) @ (^[Y1 : a]: 55.20/7.60 ((('#sk2' @ Y0 @ Y1) => ('#sk30' @ Y0 @ 55.20/7.60 Y1))))))))))))), 55.20/7.60 inference('clc', [status(thm)], [zip_derived_cl271, zip_derived_cl79])). 55.20/7.60 thf(zip_derived_cl273, plain, 55.20/7.60 ((~ (((!!) @ (^[Y0 : a]: 55.20/7.60 (((!!) @ (^[Y1 : a]: 55.20/7.60 (((!!) @ (^[Y2 : a]: 55.20/7.60 ((((('#sk30' @ Y0 @ Y1) & 55.20/7.60 ('#sk30' @ Y1 @ Y2))) => 55.20/7.60 ('#sk30' @ Y0 @ Y2)))))))))))) 55.20/7.60 | ~ (((!!) @ (^[Y0 : a]: 55.20/7.60 (((!!) @ (^[Y1 : a]: 55.20/7.60 ((('#sk2' @ Y0 @ Y1) => ('#sk30' @ Y0 @ Y1))))))))) 55.20/7.60 | ('#form9') 55.20/7.60 | ('#form94'))), 55.20/7.60 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl272])). 55.20/7.60 thf(zip_derived_cl95, plain, 55.20/7.60 (![X2 : a > a > $o]: 55.20/7.60 ( ('#form103' @ X2) 55.20/7.60 | ~ (((!!) @ (^[Y0 : a]: 55.20/7.60 (((!!) @ (^[Y1 : a]: 55.20/7.60 (((!!) @ (^[Y2 : a]: 55.20/7.60 (((((X2 @ Y0 @ Y1) & (X2 @ 55.20/7.60 Y1 @ Y2))) => 55.20/7.60 (X2 @ Y0 @ Y2)))))))))))))), 55.20/7.60 define([status(thm)])). 55.20/7.60 thf(zip_derived_cl274, plain, 55.20/7.60 ((~ ('#form103' @ '#sk30') 55.20/7.60 | ('#form94') 55.20/7.60 | ('#form9') 55.20/7.60 | ~ (((!!) @ (^[Y0 : a]: 55.20/7.60 (((!!) @ (^[Y1 : a]: 55.20/7.60 ((('#sk2' @ Y0 @ Y1) => ('#sk30' @ Y0 @ Y1))))))))))), 55.20/7.60 inference('renaming', [status(thm)], 55.20/7.60 [zip_derived_cl273, zip_derived_cl95])). 55.20/7.60 thf(zip_derived_cl275, plain, 55.20/7.60 ((~ (((!!) @ (^[Y0 : a]: 55.20/7.60 ((('#sk2' @ ('#sk339' @ '#sk30') @ Y0) => ('#sk30' @ 55.20/7.60 ('#sk339' @ '#sk30') @ Y0)))))) 55.20/7.60 | ('#form9') 55.20/7.60 | ('#form94') 55.20/7.60 | ~ ('#form103' @ '#sk30'))), 55.20/7.60 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl274])). 55.20/7.60 thf(zip_derived_cl276, plain, 55.20/7.60 ((~ ((('#sk2' @ ('#sk339' @ '#sk30') @ ('#sk404' @ '#sk30')) => 55.20/7.60 ('#sk30' @ ('#sk339' @ '#sk30') @ ('#sk404' @ '#sk30')))) 55.20/7.60 | ~ ('#form103' @ '#sk30') 55.20/7.60 | ('#form94') 55.20/7.60 | ('#form9'))), 55.20/7.60 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl275])). 55.20/7.60 thf(zip_derived_cl277, plain, 55.20/7.60 (( ('#sk2' @ ('#sk339' @ '#sk30') @ ('#sk404' @ '#sk30')) 55.20/7.60 | ('#form9') 55.20/7.60 | ('#form94') 55.20/7.60 | ~ ('#form103' @ '#sk30'))), 55.20/7.60 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl276])). 55.20/7.60 thf(zip_derived_cl278, plain, 55.20/7.60 ((~ ('#sk30' @ ('#sk339' @ '#sk30') @ ('#sk404' @ '#sk30')) 55.20/7.60 | ('#form9') 55.20/7.60 | ('#form94') 55.20/7.60 | ~ ('#form103' @ '#sk30'))), 55.20/7.60 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl276])). 55.20/7.60 thf(zip_derived_cl141, plain, 55.20/7.60 (![X2 : a, X4 : a]: 55.20/7.60 (~ ('#sk2' @ X2 @ X4) | ('#form9') | ('#sk30' @ X2 @ X4))), 55.20/7.60 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl128])). 55.20/7.60 thf(zip_derived_cl19, plain, 55.20/7.60 ((~ (((!!) @ (^[Y0 : a > a > $o]: 55.20/7.60 (((((((!!) @ (^[Y1 : a]: 55.20/7.60 (((!!) @ (^[Y2 : a]: 55.20/7.60 (((!!) @ (^[Y3 : a]: 55.20/7.60 (((((Y0 @ Y2 @ 55.20/7.60 Y3) & (Y0 @ 55.20/7.60 Y1 @ Y2))) => 55.20/7.60 (Y0 @ Y1 @ Y3)))))))))))) & 55.20/7.60 (((!!) @ (^[Y1 : a]: 55.20/7.60 (((!!) @ (^[Y2 : a]: 55.20/7.60 ((((('#sk1' @ Y1 @ Y2) | 55.20/7.60 ('#sk2' @ Y1 @ Y2))) => 55.20/7.60 (Y0 @ Y1 @ Y2))))))))))) => 55.20/7.60 (Y0 @ '#sk6' @ '#sk8')))))) 55.20/7.60 | ~ (((!!) @ (^[Y0 : a]: 55.20/7.60 (((!!) @ (^[Y1 : a]: 55.20/7.60 (((((((!!) @ (^[Y2 : a > a > $o]: 55.20/7.60 (((((((!!) @ (^[Y3 : a]: 55.20/7.60 (((!!) @ ( 55.20/7.60 ^[Y4 : a]: 55.20/7.60 (( 55.20/7.60 (!!) @ ( 55.20/7.60 ^[Y5 : a]: 55.20/7.60 (( 55.20/7.60 (( 55.20/7.60 (Y2 @ 55.20/7.60 Y3 @ 55.20/7.60 Y4) & 55.20/7.60 (Y2 @ 55.20/7.60 Y4 @ Y5))) => 55.20/7.60 (Y2 @ 55.20/7.60 Y3 @ Y5)))))))))))) & 55.20/7.60 (((!!) @ (^[Y3 : a]: 55.20/7.60 (((!!) @ ( 55.20/7.60 ^[Y4 : a]: 55.20/7.60 (( 55.20/7.60 ('#sk2' @ 55.20/7.60 Y3 @ 55.20/7.60 Y4) => 55.20/7.60 (Y2 @ 55.20/7.60 Y3 @ Y4))))))))))) => 55.20/7.60 (Y2 @ Y0 @ Y1)))))) | 55.20/7.60 (((!!) @ (^[Y2 : a > a > $o]: 55.20/7.60 (((((((!!) @ (^[Y3 : a]: 55.20/7.60 (((!!) @ ( 55.20/7.60 ^[Y4 : a]: 55.20/7.60 (( 55.20/7.60 (!!) @ ( 55.20/7.60 ^[Y5 : a]: 55.20/7.60 (( 55.20/7.60 (( 55.20/7.60 (Y2 @ 55.20/7.60 Y3 @ 55.20/7.60 Y4) & 55.20/7.60 (Y2 @ 55.20/7.60 Y4 @ Y5))) => 55.20/7.60 (Y2 @ 55.20/7.60 Y3 @ Y5)))))))))))) & 55.20/7.60 (((!!) @ (^[Y3 : a]: 55.20/7.60 (((!!) @ ( 55.20/7.60 ^[Y4 : a]: 55.20/7.60 (( 55.20/7.60 ('#sk1' @ 55.20/7.60 Y3 @ 55.20/7.60 Y4) => 55.20/7.60 (Y2 @ 55.20/7.60 Y3 @ Y4))))))))))) => 55.20/7.60 (Y2 @ Y0 @ Y1)))))))) => 55.20/7.60 (((!!) @ (^[Y2 : a > a > $o]: 55.20/7.60 (((((((!!) @ (^[Y3 : a]: 55.20/7.60 (((!!) @ ( 55.20/7.60 ^[Y4 : a]: 55.20/7.60 ( 55.20/7.60 ( 55.20/7.60 (( 55.20/7.60 ('#sk2' @ 55.20/7.60 Y3 @ 55.20/7.60 Y4) | 55.20/7.60 ('#sk1' @ 55.20/7.60 Y3 @ Y4))) => 55.20/7.60 (Y2 @ 55.20/7.60 Y3 @ Y4))))))))) & 55.20/7.60 (((!!) @ (^[Y3 : a]: 55.20/7.60 (((!!) @ ( 55.20/7.60 ^[Y4 : a]: 55.20/7.60 ( 55.20/7.60 ( 55.20/7.60 (!!) @ ( 55.20/7.60 ^[Y5 : a]: 55.20/7.60 (( 55.20/7.60 (( 55.20/7.60 (Y2 @ 55.20/7.60 Y3 @ 55.20/7.60 Y4) & 55.20/7.60 (Y2 @ 55.20/7.60 Y4 @ Y5))) => 55.20/7.60 (Y2 @ 55.20/7.60 Y3 @ Y5)))))))))))))) => 55.20/7.60 (Y2 @ Y0 @ Y1)))))))))))))) 55.20/7.60 | (((!!) @ (^[Y0 : a > a > $o]: 55.20/7.60 (((((((!!) @ (^[Y1 : a]: 55.20/7.60 (((!!) @ (^[Y2 : a]: 55.20/7.60 ((((('#sk1' @ Y1 @ Y2) | 55.20/7.60 ('#sk2' @ Y1 @ Y2))) => 55.20/7.60 (Y0 @ Y1 @ Y2))))))))) & 55.20/7.60 (((!!) @ (^[Y1 : a]: 55.20/7.60 (((!!) @ (^[Y2 : a]: 55.20/7.60 (((!!) @ (^[Y3 : a]: 55.20/7.60 (((((Y0 @ Y1 @ 55.20/7.60 Y2) & (Y0 @ 55.20/7.60 Y2 @ Y3))) => 55.20/7.60 (Y0 @ Y1 @ Y3)))))))))))))) => 55.20/7.60 (Y0 @ '#sk3' @ '#sk4')))))))), 55.20/7.60 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl15])). 55.20/7.60 thf(zip_derived_cl24, plain, 55.20/7.60 (( ('#form9') 55.20/7.60 | ~ (((!!) @ (^[Y0 : a]: 55.20/7.60 (((!!) @ (^[Y1 : a]: 55.20/7.60 (((((((!!) @ (^[Y2 : a > a > $o]: 55.20/7.60 (((((((!!) @ (^[Y3 : a]: 55.20/7.60 (((!!) @ ( 55.20/7.60 ^[Y4 : a]: 55.20/7.60 (( 55.20/7.60 (!!) @ ( 55.20/7.60 ^[Y5 : a]: 55.20/7.60 (( 55.20/7.60 (( 55.20/7.60 (Y2 @ 55.20/7.60 Y3 @ 55.20/7.60 Y4) & 55.20/7.60 (Y2 @ 55.20/7.60 Y4 @ Y5))) => 55.20/7.60 (Y2 @ 55.20/7.60 Y3 @ Y5)))))))))))) & 55.20/7.60 (((!!) @ (^[Y3 : a]: 55.20/7.60 (((!!) @ ( 55.20/7.60 ^[Y4 : a]: 55.20/7.60 (( 55.20/7.60 ('#sk2' @ 55.20/7.60 Y3 @ 55.20/7.60 Y4) => 55.20/7.60 (Y2 @ 55.20/7.60 Y3 @ Y4))))))))))) => 55.20/7.60 (Y2 @ Y0 @ Y1)))))) | 55.20/7.60 (((!!) @ (^[Y2 : a > a > $o]: 55.20/7.60 (((((((!!) @ (^[Y3 : a]: 55.20/7.60 (((!!) @ ( 55.20/7.60 ^[Y4 : a]: 55.20/7.60 (( 55.20/7.60 (!!) @ ( 55.20/7.60 ^[Y5 : a]: 55.20/7.60 (( 55.20/7.60 (( 55.20/7.60 (Y2 @ 55.20/7.60 Y3 @ 55.20/7.60 Y4) & 55.20/7.60 (Y2 @ 55.20/7.60 Y4 @ Y5))) => 55.20/7.60 (Y2 @ 55.20/7.60 Y3 @ Y5)))))))))))) & 55.20/7.60 (((!!) @ (^[Y3 : a]: 55.20/7.60 (((!!) @ ( 55.20/7.60 ^[Y4 : a]: 55.20/7.60 (( 55.20/7.60 ('#sk1' @ 55.20/7.60 Y3 @ 55.20/7.60 Y4) => 55.20/7.60 (Y2 @ 55.20/7.60 Y3 @ Y4))))))))))) => 55.20/7.60 (Y2 @ Y0 @ Y1)))))))) => 55.20/7.60 (((!!) @ (^[Y2 : a > a > $o]: 55.20/7.60 (((((((!!) @ (^[Y3 : a]: 55.20/7.60 (((!!) @ ( 55.20/7.60 ^[Y4 : a]: 55.20/7.60 ( 55.20/7.60 ( 55.20/7.60 (( 55.20/7.60 ('#sk2' @ 55.20/7.60 Y3 @ 55.20/7.60 Y4) | 55.20/7.60 ('#sk1' @ 55.20/7.60 Y3 @ Y4))) => 55.20/7.60 (Y2 @ 55.20/7.60 Y3 @ Y4))))))))) & 55.20/7.60 (((!!) @ (^[Y3 : a]: 55.20/7.60 (((!!) @ ( 55.20/7.60 ^[Y4 : a]: 55.20/7.60 ( 55.20/7.60 ( 55.20/7.60 (!!) @ ( 55.20/7.60 ^[Y5 : a]: 55.20/7.60 (( 55.20/7.60 (( 55.20/7.60 (Y2 @ 55.20/7.60 Y3 @ 55.20/7.60 Y4) & 55.20/7.60 (Y2 @ 55.20/7.60 Y4 @ Y5))) => 55.20/7.60 (Y2 @ 55.20/7.60 Y3 @ Y5)))))))))))))) => 55.20/7.60 (Y2 @ Y0 @ Y1)))))))))))))))), 55.20/7.60 define([status(thm)])). 55.20/7.60 thf(zip_derived_cl26, plain, 55.20/7.60 ((~ ('#form9') 55.20/7.60 | (((!!) @ (^[Y0 : a > a > $o]: 55.20/7.60 (((((((!!) @ (^[Y1 : a]: 55.20/7.60 (((!!) @ (^[Y2 : a]: 55.20/7.60 ((((('#sk1' @ Y1 @ Y2) | 55.20/7.60 ('#sk2' @ Y1 @ Y2))) => 55.20/7.60 (Y0 @ Y1 @ Y2))))))))) & 55.20/7.60 (((!!) @ (^[Y1 : a]: 55.20/7.60 (((!!) @ (^[Y2 : a]: 55.20/7.60 (((!!) @ (^[Y3 : a]: 55.20/7.60 (((((Y0 @ Y1 @ 55.20/7.60 Y2) & (Y0 @ 55.20/7.60 Y2 @ Y3))) => 55.20/7.60 (Y0 @ Y1 @ Y3)))))))))))))) => 55.20/7.60 (Y0 @ '#sk3' @ '#sk4')))))) 55.20/7.60 | ~ (((!!) @ (^[Y0 : a > a > $o]: 55.20/7.60 (((((((!!) @ (^[Y1 : a]: 55.20/7.60 (((!!) @ (^[Y2 : a]: 55.20/7.60 (((!!) @ (^[Y3 : a]: 55.20/7.60 (((((Y0 @ Y2 @ 55.20/7.60 Y3) & 55.20/7.60 (Y0 @ Y1 @ 55.20/7.60 Y2))) => 55.20/7.60 (Y0 @ Y1 @ 55.20/7.60 Y3)))))))))))) & 55.20/7.60 (((!!) @ (^[Y1 : a]: 55.20/7.60 (((!!) @ (^[Y2 : a]: 55.20/7.60 ((((('#sk1' @ Y1 @ Y2) | 55.20/7.60 ('#sk2' @ Y1 @ Y2))) => 55.20/7.60 (Y0 @ Y1 @ Y2))))))))))) => 55.20/7.60 (Y0 @ '#sk6' @ '#sk8')))))))), 55.20/7.60 inference('renaming', [status(thm)], [zip_derived_cl19, zip_derived_cl24])). 55.20/7.60 thf(zip_derived_cl29, plain, 55.20/7.60 ((~ ('#form11') 55.20/7.60 | (((!!) @ (^[Y0 : a > a > $o]: 55.20/7.60 (((((((!!) @ (^[Y1 : a]: 55.20/7.60 (((!!) @ (^[Y2 : a]: 55.20/7.60 ((((('#sk1' @ Y1 @ Y2) | 55.20/7.60 ('#sk2' @ Y1 @ Y2))) => 55.20/7.60 (Y0 @ Y1 @ Y2))))))))) & 55.20/7.60 (((!!) @ (^[Y1 : a]: 55.20/7.60 (((!!) @ (^[Y2 : a]: 55.20/7.60 (((!!) @ (^[Y3 : a]: 55.20/7.60 (((((Y0 @ Y1 @ 55.20/7.60 Y2) & (Y0 @ 55.20/7.60 Y2 @ Y3))) => 55.20/7.60 (Y0 @ Y1 @ Y3)))))))))))))) => 55.20/7.60 (Y0 @ '#sk3' @ '#sk4')))))))), 55.20/7.60 define([status(thm)])). 55.20/7.60 thf(zip_derived_cl36, plain, 55.20/7.60 (( ('#form11') 55.20/7.60 | ~ (((!!) @ (^[Y0 : a > a > $o]: 55.20/7.60 (((((((!!) @ (^[Y1 : a]: 55.20/7.60 (((!!) @ (^[Y2 : a]: 55.20/7.60 (((!!) @ (^[Y3 : a]: 55.20/7.60 (((((Y0 @ Y2 @ 55.20/7.60 Y3) & 55.20/7.60 (Y0 @ Y1 @ 55.20/7.60 Y2))) => 55.20/7.60 (Y0 @ Y1 @ 55.20/7.60 Y3)))))))))))) & 55.20/7.60 (((!!) @ (^[Y1 : a]: 55.20/7.60 (((!!) @ (^[Y2 : a]: 55.20/7.60 ((((('#sk1' @ Y1 @ Y2) | 55.20/7.60 ('#sk2' @ Y1 @ Y2))) => 55.20/7.60 (Y0 @ Y1 @ Y2))))))))))) => 55.20/7.60 (Y0 @ '#sk6' @ '#sk8')))))) 55.20/7.60 | ~ ('#form9'))), 55.20/7.60 inference('renaming', [status(thm)], [zip_derived_cl26, zip_derived_cl29])). 55.20/7.60 thf(zip_derived_cl45, plain, 55.20/7.60 ((~ (((((((!!) @ (^[Y0 : a]: 55.20/7.60 (((!!) @ (^[Y1 : a]: 55.20/7.60 (((!!) @ (^[Y2 : a]: 55.20/7.60 ((((('#sk21' @ Y1 @ Y2) & 55.20/7.60 ('#sk21' @ Y0 @ Y1))) => 55.20/7.60 ('#sk21' @ Y0 @ Y2)))))))))))) & 55.20/7.60 (((!!) @ (^[Y0 : a]: 55.20/7.60 (((!!) @ (^[Y1 : a]: 55.20/7.60 ((((('#sk1' @ Y0 @ Y1) | ('#sk2' @ Y0 @ 55.20/7.60 Y1))) => 55.20/7.60 ('#sk21' @ Y0 @ Y1))))))))))) => 55.20/7.60 ('#sk21' @ '#sk6' @ '#sk8'))) 55.20/7.60 | ~ ('#form9') 55.20/7.60 | ('#form11'))), 55.20/7.60 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl36])). 55.20/7.60 thf(zip_derived_cl61, plain, 55.20/7.60 ((~ ('#sk21' @ '#sk6' @ '#sk8') | ('#form11') | ~ ('#form9'))), 55.20/7.60 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl45])). 55.20/7.60 thf(zip_derived_cl94, plain, 55.20/7.60 (( (((!!) @ (^[Y0 : a]: 55.20/7.60 (((!!) @ (^[Y1 : a]: 55.20/7.60 (((!!) @ (^[Y2 : a]: 55.20/7.60 ((((('#sk30' @ Y0 @ Y1) & 55.20/7.60 ('#sk30' @ Y1 @ Y2))) => 55.20/7.60 ('#sk30' @ Y0 @ Y2)))))))))))) 55.20/7.60 | ('#form9'))), 55.20/7.60 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl78])). 55.20/7.60 thf(zip_derived_cl105, plain, 55.20/7.60 (![X2 : a]: 55.20/7.60 ( (((!!) @ (^[Y0 : a]: 55.20/7.60 (((!!) @ (^[Y1 : a]: 55.20/7.60 ((((('#sk30' @ X2 @ Y0) & ('#sk30' @ Y0 @ 55.20/7.60 Y1))) => 55.20/7.60 ('#sk30' @ X2 @ Y1))))))))) 55.20/7.60 | ('#form9'))), 55.20/7.60 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl94])). 55.20/7.60 thf(zip_derived_cl118, plain, 55.20/7.60 (![X2 : a, X4 : a]: 55.20/7.60 ( (((!!) @ (^[Y0 : a]: 55.20/7.60 ((((('#sk30' @ X2 @ X4) & ('#sk30' @ X4 @ Y0))) => 55.20/7.60 ('#sk30' @ X2 @ Y0)))))) 55.20/7.60 | ('#form9'))), 55.20/7.60 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl105])). 55.20/7.60 thf(zip_derived_cl129, plain, 55.20/7.60 (![X2 : a, X4 : a, X6 : a]: 55.20/7.60 ( ((((('#sk30' @ X2 @ X4) & ('#sk30' @ X4 @ X6))) => ('#sk30' @ X2 @ 55.20/7.60 X6))) 55.20/7.60 | ('#form9'))), 55.20/7.60 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl118])). 55.20/7.60 thf(zip_derived_cl143, plain, 55.20/7.60 (![X2 : a, X4 : a, X6 : a]: 55.20/7.60 (~ ((('#sk30' @ X2 @ X4) & ('#sk30' @ X4 @ X6))) 55.20/7.60 | ('#sk30' @ X2 @ X6) 55.20/7.60 | ('#form9'))), 55.20/7.60 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl129])). 55.20/7.60 thf(zip_derived_cl150, plain, 55.20/7.60 (![X2 : a, X4 : a, X6 : a]: 55.20/7.60 (~ ('#sk30' @ X2 @ X4) 55.20/7.60 | ~ ('#sk30' @ X4 @ X6) 55.20/7.60 | ('#form9') 55.20/7.60 | ('#sk30' @ X2 @ X6))), 55.20/7.60 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl143])). 55.20/7.60 thf(zip_derived_cl23, plain, 55.20/7.60 (( (((!!) @ (^[Y0 : a > a > $o]: 55.20/7.60 (((((((!!) @ (^[Y1 : a]: 55.20/7.60 (((!!) @ (^[Y2 : a]: 55.20/7.60 ((((('#sk1' @ Y1 @ Y2) | 55.20/7.60 ('#sk2' @ Y1 @ Y2))) => 55.20/7.60 (Y0 @ Y1 @ Y2))))))))) & 55.20/7.60 (((!!) @ (^[Y1 : a]: 55.20/7.60 (((!!) @ (^[Y2 : a]: 55.20/7.60 (((!!) @ (^[Y3 : a]: 55.20/7.60 (((((Y0 @ Y1 @ 55.20/7.60 Y2) & (Y0 @ 55.20/7.60 Y2 @ Y3))) => 55.20/7.60 (Y0 @ Y1 @ Y3)))))))))))))) => 55.20/7.60 (Y0 @ '#sk7' @ '#sk8')))))) 55.20/7.60 | (((!!) @ (^[Y0 : a > a > $o]: 55.20/7.60 (((((((!!) @ (^[Y1 : a]: 55.20/7.60 (((!!) @ (^[Y2 : a]: 55.20/7.60 ((((('#sk1' @ Y1 @ Y2) | 55.20/7.60 ('#sk2' @ Y1 @ Y2))) => 55.20/7.60 (Y0 @ Y1 @ Y2))))))))) & 55.20/7.60 (((!!) @ (^[Y1 : a]: 55.20/7.60 (((!!) @ (^[Y2 : a]: 55.20/7.60 (((!!) @ (^[Y3 : a]: 55.20/7.60 (((((Y0 @ Y1 @ 55.20/7.60 Y2) & (Y0 @ 55.20/7.60 Y2 @ Y3))) => 55.20/7.60 (Y0 @ Y1 @ Y3)))))))))))))) => 55.20/7.60 (Y0 @ '#sk3' @ '#sk4')))))) 55.20/7.60 | ~ (((!!) @ (^[Y0 : a]: 55.20/7.60 (((!!) @ (^[Y1 : a]: 55.20/7.60 (((((((!!) @ (^[Y2 : a > a > $o]: 55.20/7.60 (((((((!!) @ (^[Y3 : a]: 55.20/7.60 (((!!) @ ( 55.20/7.60 ^[Y4 : a]: 55.20/7.60 (( 55.20/7.60 (!!) @ ( 55.20/7.60 ^[Y5 : a]: 55.20/7.60 (( 55.20/7.60 (( 55.20/7.60 (Y2 @ 55.20/7.60 Y3 @ 55.20/7.60 Y4) & 55.20/7.60 (Y2 @ 55.20/7.60 Y4 @ Y5))) => 55.20/7.60 (Y2 @ 55.20/7.60 Y3 @ Y5)))))))))))) & 55.20/7.60 (((!!) @ (^[Y3 : a]: 55.20/7.60 (((!!) @ ( 55.20/7.60 ^[Y4 : a]: 55.20/7.60 (( 55.20/7.60 ('#sk2' @ 55.20/7.60 Y3 @ 55.20/7.60 Y4) => 55.20/7.60 (Y2 @ 55.20/7.60 Y3 @ Y4))))))))))) => 55.20/7.60 (Y2 @ Y0 @ Y1)))))) | 55.20/7.60 (((!!) @ (^[Y2 : a > a > $o]: 55.20/7.60 (((((((!!) @ (^[Y3 : a]: 55.20/7.60 (((!!) @ ( 55.20/7.60 ^[Y4 : a]: 55.20/7.60 (( 55.20/7.60 (!!) @ ( 55.20/7.60 ^[Y5 : a]: 55.20/7.60 (( 55.20/7.60 (( 55.20/7.60 (Y2 @ 55.20/7.60 Y3 @ 55.20/7.60 Y4) & 55.20/7.60 (Y2 @ 55.20/7.60 Y4 @ Y5))) => 55.20/7.60 (Y2 @ 55.20/7.60 Y3 @ Y5)))))))))))) & 55.20/7.60 (((!!) @ (^[Y3 : a]: 55.20/7.60 (((!!) @ ( 55.20/7.60 ^[Y4 : a]: 55.20/7.60 (( 55.20/7.60 ('#sk1' @ 55.20/7.60 Y3 @ 55.20/7.60 Y4) => 55.20/7.60 (Y2 @ 55.20/7.60 Y3 @ Y4))))))))))) => 55.20/7.60 (Y2 @ Y0 @ Y1)))))))) => 55.20/7.60 (((!!) @ (^[Y2 : a > a > $o]: 55.20/7.60 (((((((!!) @ (^[Y3 : a]: 55.20/7.60 (((!!) @ ( 55.20/7.60 ^[Y4 : a]: 55.20/7.60 ( 55.20/7.60 ( 55.20/7.60 (( 55.20/7.60 ('#sk2' @ 55.20/7.60 Y3 @ 55.20/7.60 Y4) | 55.20/7.60 ('#sk1' @ 55.20/7.60 Y3 @ Y4))) => 55.20/7.60 (Y2 @ 55.20/7.60 Y3 @ Y4))))))))) & 55.20/7.60 (((!!) @ (^[Y3 : a]: 55.20/7.60 (((!!) @ ( 55.20/7.60 ^[Y4 : a]: 55.20/7.60 ( 55.20/7.60 ( 55.20/7.60 (!!) @ ( 55.20/7.60 ^[Y5 : a]: 55.20/7.60 (( 55.20/7.60 (( 55.20/7.60 (Y2 @ 55.20/7.60 Y3 @ 55.20/7.60 Y4) & 55.20/7.60 (Y2 @ 55.20/7.60 Y4 @ Y5))) => 55.20/7.60 (Y2 @ 55.20/7.60 Y3 @ Y5)))))))))))))) => 55.20/7.60 (Y2 @ Y0 @ Y1)))))))))))))))), 55.20/7.60 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl18])). 55.20/7.60 thf(zip_derived_cl29, plain, 55.20/7.60 ((~ ('#form11') 55.20/7.60 | (((!!) @ (^[Y0 : a > a > $o]: 55.20/7.60 (((((((!!) @ (^[Y1 : a]: 55.20/7.60 (((!!) @ (^[Y2 : a]: 55.20/7.60 ((((('#sk1' @ Y1 @ Y2) | 55.20/7.60 ('#sk2' @ Y1 @ Y2))) => 55.20/7.60 (Y0 @ Y1 @ Y2))))))))) & 55.20/7.60 (((!!) @ (^[Y1 : a]: 55.20/7.60 (((!!) @ (^[Y2 : a]: 55.20/7.60 (((!!) @ (^[Y3 : a]: 55.20/7.60 (((((Y0 @ Y1 @ 55.20/7.60 Y2) & (Y0 @ 55.20/7.60 Y2 @ Y3))) => 55.20/7.60 (Y0 @ Y1 @ Y3)))))))))))))) => 55.20/7.60 (Y0 @ '#sk3' @ '#sk4')))))))), 55.20/7.60 define([status(thm)])). 55.20/7.60 thf(zip_derived_cl35, plain, 55.20/7.60 (( ('#form11') 55.20/7.60 | ~ (((!!) @ (^[Y0 : a]: 55.20/7.60 (((!!) @ (^[Y1 : a]: 55.20/7.60 (((((((!!) @ (^[Y2 : a > a > $o]: 55.20/7.60 (((((((!!) @ (^[Y3 : a]: 55.20/7.60 (((!!) @ ( 55.20/7.60 ^[Y4 : a]: 55.20/7.60 (( 55.20/7.60 (!!) @ ( 55.20/7.60 ^[Y5 : a]: 55.20/7.60 (( 55.20/7.60 (( 55.20/7.60 (Y2 @ 55.20/7.60 Y3 @ 55.20/7.60 Y4) & 55.20/7.60 (Y2 @ 55.20/7.60 Y4 @ Y5))) => 55.20/7.60 (Y2 @ 55.20/7.60 Y3 @ Y5)))))))))))) & 55.20/7.60 (((!!) @ (^[Y3 : a]: 55.20/7.60 (((!!) @ ( 55.20/7.60 ^[Y4 : a]: 55.20/7.60 (( 55.20/7.60 ('#sk2' @ 55.20/7.60 Y3 @ 55.20/7.60 Y4) => 55.20/7.60 (Y2 @ 55.20/7.60 Y3 @ Y4))))))))))) => 55.20/7.60 (Y2 @ Y0 @ Y1)))))) | 55.20/7.60 (((!!) @ (^[Y2 : a > a > $o]: 55.20/7.60 (((((((!!) @ (^[Y3 : a]: 55.20/7.60 (((!!) @ ( 55.20/7.60 ^[Y4 : a]: 55.20/7.60 (( 55.20/7.60 (!!) @ ( 55.20/7.60 ^[Y5 : a]: 55.20/7.60 (( 55.20/7.60 (( 55.20/7.60 (Y2 @ 55.20/7.60 Y3 @ 55.20/7.60 Y4) & 55.20/7.60 (Y2 @ 55.20/7.60 Y4 @ Y5))) => 55.20/7.60 (Y2 @ 55.20/7.60 Y3 @ Y5)))))))))))) & 55.20/7.60 (((!!) @ (^[Y3 : a]: 55.20/7.60 (((!!) @ ( 55.20/7.60 ^[Y4 : a]: 55.20/7.60 (( 55.20/7.60 ('#sk1' @ 55.20/7.60 Y3 @ 55.20/7.60 Y4) => 55.20/7.60 (Y2 @ 55.20/7.60 Y3 @ Y4))))))))))) => 55.20/7.60 (Y2 @ Y0 @ Y1)))))))) => 55.20/7.60 (((!!) @ (^[Y2 : a > a > $o]: 55.20/7.60 (((((((!!) @ (^[Y3 : a]: 55.20/7.60 (((!!) @ ( 55.20/7.60 ^[Y4 : a]: 55.20/7.60 ( 55.20/7.60 ( 55.20/7.60 (( 55.20/7.60 ('#sk2' @ 55.20/7.60 Y3 @ 55.20/7.60 Y4) | 55.20/7.60 ('#sk1' @ 55.20/7.60 Y3 @ Y4))) => 55.20/7.60 (Y2 @ 55.20/7.60 Y3 @ Y4))))))))) & 55.20/7.60 (((!!) @ (^[Y3 : a]: 55.20/7.60 (((!!) @ ( 55.20/7.60 ^[Y4 : a]: 55.20/7.60 ( 55.20/7.60 ( 55.20/7.60 (!!) @ ( 55.20/7.60 ^[Y5 : a]: 55.20/7.60 (( 55.20/7.60 (( 55.20/7.60 (Y2 @ 55.20/7.60 Y3 @ 55.20/7.60 Y4) & 55.20/7.60 (Y2 @ 55.20/7.60 Y4 @ Y5))) => 55.20/7.60 (Y2 @ 55.20/7.60 Y3 @ Y5)))))))))))))) => 55.20/7.60 (Y2 @ Y0 @ Y1)))))))))))))) 55.20/7.60 | (((!!) @ (^[Y0 : a > a > $o]: 55.20/7.60 (((((((!!) @ (^[Y1 : a]: 55.20/7.60 (((!!) @ (^[Y2 : a]: 55.20/7.60 ((((('#sk1' @ Y1 @ Y2) | 55.20/7.60 ('#sk2' @ Y1 @ Y2))) => 55.20/7.60 (Y0 @ Y1 @ Y2))))))))) & 55.20/7.60 (((!!) @ (^[Y1 : a]: 55.20/7.60 (((!!) @ (^[Y2 : a]: 55.20/7.60 (((!!) @ (^[Y3 : a]: 55.20/7.60 (((((Y0 @ Y1 @ 55.20/7.60 Y2) & (Y0 @ 55.20/7.60 Y2 @ Y3))) => 55.20/7.60 (Y0 @ Y1 @ Y3)))))))))))))) => 55.20/7.60 (Y0 @ '#sk7' @ '#sk8')))))))), 55.20/7.60 inference('renaming', [status(thm)], [zip_derived_cl23, zip_derived_cl29])). 55.20/7.60 thf(zip_derived_cl24, plain, 55.20/7.60 (( ('#form9') 55.20/7.60 | ~ (((!!) @ (^[Y0 : a]: 55.20/7.60 (((!!) @ (^[Y1 : a]: 55.20/7.60 (((((((!!) @ (^[Y2 : a > a > $o]: 55.20/7.60 (((((((!!) @ (^[Y3 : a]: 55.20/7.60 (((!!) @ ( 55.20/7.60 ^[Y4 : a]: 55.20/7.60 (( 55.20/7.60 (!!) @ ( 55.20/7.60 ^[Y5 : a]: 55.20/7.60 (( 55.20/7.60 (( 55.20/7.60 (Y2 @ 55.20/7.60 Y3 @ 55.20/7.60 Y4) & 55.20/7.60 (Y2 @ 55.20/7.60 Y4 @ Y5))) => 55.20/7.60 (Y2 @ 55.20/7.60 Y3 @ Y5)))))))))))) & 55.20/7.60 (((!!) @ (^[Y3 : a]: 55.20/7.60 (((!!) @ ( 55.20/7.60 ^[Y4 : a]: 55.20/7.60 (( 55.20/7.60 ('#sk2' @ 55.20/7.60 Y3 @ 55.20/7.60 Y4) => 55.20/7.60 (Y2 @ 55.20/7.60 Y3 @ Y4))))))))))) => 55.20/7.60 (Y2 @ Y0 @ Y1)))))) | 55.20/7.60 (((!!) @ (^[Y2 : a > a > $o]: 55.20/7.60 (((((((!!) @ (^[Y3 : a]: 55.20/7.60 (((!!) @ ( 55.20/7.60 ^[Y4 : a]: 55.20/7.60 (( 55.20/7.60 (!!) @ ( 55.20/7.60 ^[Y5 : a]: 55.20/7.60 (( 55.20/7.60 (( 55.20/7.60 (Y2 @ 55.20/7.60 Y3 @ 55.20/7.60 Y4) & 55.20/7.60 (Y2 @ 55.20/7.60 Y4 @ Y5))) => 55.20/7.60 (Y2 @ 55.20/7.60 Y3 @ Y5)))))))))))) & 55.20/7.60 (((!!) @ (^[Y3 : a]: 55.20/7.60 (((!!) @ ( 55.20/7.60 ^[Y4 : a]: 55.20/7.60 (( 55.20/7.60 ('#sk1' @ 55.20/7.60 Y3 @ 55.20/7.60 Y4) => 55.20/7.60 (Y2 @ 55.20/7.60 Y3 @ Y4))))))))))) => 55.20/7.60 (Y2 @ Y0 @ Y1)))))))) => 55.20/7.60 (((!!) @ (^[Y2 : a > a > $o]: 55.20/7.60 (((((((!!) @ (^[Y3 : a]: 55.20/7.60 (((!!) @ ( 55.20/7.60 ^[Y4 : a]: 55.20/7.60 ( 55.20/7.60 ( 55.20/7.60 (( 55.20/7.60 ('#sk2' @ 55.20/7.60 Y3 @ 55.20/7.60 Y4) | 55.20/7.60 ('#sk1' @ 55.20/7.60 Y3 @ Y4))) => 55.20/7.60 (Y2 @ 55.20/7.60 Y3 @ Y4))))))))) & 55.20/7.60 (((!!) @ (^[Y3 : a]: 55.20/7.60 (((!!) @ ( 55.20/7.60 ^[Y4 : a]: 55.20/7.60 ( 55.20/7.60 ( 55.20/7.60 (!!) @ ( 55.20/7.60 ^[Y5 : a]: 55.20/7.60 (( 55.20/7.60 (( 55.20/7.60 (Y2 @ 55.20/7.60 Y3 @ 55.20/7.60 Y4) & 55.20/7.60 (Y2 @ 55.20/7.60 Y4 @ Y5))) => 55.20/7.60 (Y2 @ 55.20/7.60 Y3 @ Y5)))))))))))))) => 55.20/7.60 (Y2 @ Y0 @ Y1)))))))))))))))), 55.20/7.60 define([status(thm)])). 55.20/7.60 thf(zip_derived_cl43, plain, 55.20/7.60 ((~ ('#form9') 55.20/7.60 | (((!!) @ (^[Y0 : a > a > $o]: 55.20/7.60 (((((((!!) @ (^[Y1 : a]: 55.20/7.60 (((!!) @ (^[Y2 : a]: 55.20/7.60 ((((('#sk1' @ Y1 @ Y2) | 55.20/7.60 ('#sk2' @ Y1 @ Y2))) => 55.20/7.60 (Y0 @ Y1 @ Y2))))))))) & 55.20/7.60 (((!!) @ (^[Y1 : a]: 55.20/7.60 (((!!) @ (^[Y2 : a]: 55.20/7.60 (((!!) @ (^[Y3 : a]: 55.20/7.60 (((((Y0 @ Y1 @ 55.20/7.60 Y2) & (Y0 @ 55.20/7.60 Y2 @ Y3))) => 55.20/7.60 (Y0 @ Y1 @ Y3)))))))))))))) => 55.20/7.60 (Y0 @ '#sk7' @ '#sk8')))))) 55.20/7.60 | ('#form11'))), 55.20/7.60 inference('renaming', [status(thm)], [zip_derived_cl35, zip_derived_cl24])). 55.20/7.60 thf(zip_derived_cl55, plain, 55.20/7.60 (![X2 : a > a > $o]: 55.20/7.60 ( (((((((!!) @ (^[Y0 : a]: 55.20/7.60 (((!!) @ (^[Y1 : a]: 55.20/7.60 ((((('#sk1' @ Y0 @ Y1) | ('#sk2' @ Y0 @ 55.20/7.60 Y1))) => 55.20/7.60 (X2 @ Y0 @ Y1))))))))) & 55.20/7.60 (((!!) @ (^[Y0 : a]: 55.20/7.60 (((!!) @ (^[Y1 : a]: 55.20/7.60 (((!!) @ (^[Y2 : a]: 55.20/7.60 (((((X2 @ Y0 @ Y1) & (X2 @ 55.20/7.60 Y1 @ Y2))) => 55.20/7.60 (X2 @ Y0 @ Y2)))))))))))))) => 55.20/7.60 (X2 @ '#sk7' @ '#sk8'))) 55.20/7.60 | ('#form11') 55.20/7.60 | ~ ('#form9'))), 55.20/7.60 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl43])). 55.20/7.60 thf(zip_derived_cl69, plain, 55.20/7.60 (![X2 : a > a > $o]: 55.20/7.60 (~ (((((!!) @ (^[Y0 : a]: 55.20/7.60 (((!!) @ (^[Y1 : a]: 55.20/7.60 ((((('#sk1' @ Y0 @ Y1) | ('#sk2' @ Y0 @ 55.20/7.60 Y1))) => 55.20/7.60 (X2 @ Y0 @ Y1))))))))) & 55.20/7.60 (((!!) @ (^[Y0 : a]: 55.20/7.60 (((!!) @ (^[Y1 : a]: 55.20/7.60 (((!!) @ (^[Y2 : a]: 55.20/7.60 (((((X2 @ Y0 @ Y1) & (X2 @ 55.20/7.60 Y1 @ Y2))) => 55.20/7.60 (X2 @ Y0 @ Y2)))))))))))))) 55.20/7.60 | (X2 @ '#sk7' @ '#sk8') 55.20/7.60 | ~ ('#form9') 55.20/7.60 | ('#form11'))), 55.20/7.60 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl55])). 55.20/7.60 thf(zip_derived_cl82, plain, 55.20/7.60 (![X2 : a > a > $o]: 55.20/7.60 (~ (((!!) @ (^[Y0 : a]: 55.20/7.60 (((!!) @ (^[Y1 : a]: 55.20/7.60 ((((('#sk1' @ Y0 @ Y1) | ('#sk2' @ Y0 @ Y1))) => 55.20/7.60 (X2 @ Y0 @ Y1))))))))) 55.20/7.60 | ~ (((!!) @ (^[Y0 : a]: 55.20/7.60 (((!!) @ (^[Y1 : a]: 55.20/7.60 (((!!) @ (^[Y2 : a]: 55.20/7.60 (((((X2 @ Y0 @ Y1) & (X2 @ 55.20/7.60 Y1 @ Y2))) => 55.20/7.60 (X2 @ Y0 @ Y2)))))))))))) 55.20/7.60 | ('#form11') 55.20/7.60 | ~ ('#form9') 55.20/7.60 | (X2 @ '#sk7' @ '#sk8'))), 55.20/7.60 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl69])). 55.20/7.60 thf(zip_derived_cl95, plain, 55.20/7.60 (![X2 : a > a > $o]: 55.20/7.60 ( ('#form103' @ X2) 55.20/7.60 | ~ (((!!) @ (^[Y0 : a]: 55.20/7.60 (((!!) @ (^[Y1 : a]: 55.20/7.60 (((!!) @ (^[Y2 : a]: 55.20/7.60 (((((X2 @ Y0 @ Y1) & (X2 @ 55.20/7.60 Y1 @ Y2))) => 55.20/7.60 (X2 @ Y0 @ Y2)))))))))))))), 55.20/7.60 define([status(thm)])). 55.20/7.60 thf(zip_derived_cl99, plain, 55.20/7.60 (![X2 : a > a > $o]: 55.20/7.60 (~ ('#form103' @ (^[Y0 : a,Y1 : a]: (X2 @ Y0 @ Y1))) 55.20/7.60 | (X2 @ '#sk7' @ '#sk8') 55.20/7.60 | ~ ('#form9') 55.20/7.60 | ('#form11') 55.20/7.60 | ~ (((!!) @ (^[Y0 : a]: 55.20/7.60 (((!!) @ (^[Y1 : a]: 55.20/7.60 ((((('#sk1' @ Y0 @ Y1) | ('#sk2' @ Y0 @ 55.20/7.60 Y1))) => 55.20/7.60 (X2 @ Y0 @ Y1))))))))))), 55.20/7.60 inference('renaming', [status(thm)], [zip_derived_cl82, zip_derived_cl95])). 55.20/7.60 thf(zip_derived_cl111, plain, 55.20/7.60 (![X2 : a > a > $o]: 55.20/7.60 (~ ('#form103' @ X2) 55.20/7.60 | (X2 @ '#sk7' @ '#sk8') 55.20/7.60 | ~ ('#form9') 55.20/7.60 | ('#form11') 55.20/7.60 | ~ (((!!) @ (^[Y0 : a]: 55.20/7.60 (((!!) @ (^[Y1 : a]: 55.20/7.60 ((((('#sk1' @ Y0 @ Y1) | ('#sk2' @ Y0 @ 55.20/7.60 Y1))) => 55.20/7.60 (X2 @ Y0 @ Y1))))))))))), 55.20/7.60 inference('ho_norm', [status(thm)], [zip_derived_cl99])). 55.20/7.60 thf(zip_derived_cl112, plain, 55.20/7.60 (![X2 : a > a > $o]: 55.20/7.60 (~ (((!!) @ (^[Y0 : a]: 55.20/7.60 ((((('#sk1' @ ('#sk47' @ X2) @ Y0) | ('#sk2' @ 55.20/7.60 ('#sk47' @ X2) @ Y0))) => 55.20/7.60 (X2 @ ('#sk47' @ X2) @ Y0)))))) 55.20/7.60 | ('#form11') 55.20/7.60 | ~ ('#form9') 55.20/7.60 | (X2 @ '#sk7' @ '#sk8') 55.20/7.60 | ~ ('#form103' @ X2))), 55.20/7.60 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl111])). 55.20/7.60 thf(zip_derived_cl122, plain, 55.20/7.60 (![X2 : a > a > $o]: 55.20/7.60 (~ ((((('#sk1' @ ('#sk47' @ X2) @ ('#sk77' @ X2)) | ('#sk2' @ 55.20/7.60 ('#sk47' @ X2) @ ('#sk77' @ X2)))) => 55.20/7.60 (X2 @ ('#sk47' @ X2) @ ('#sk77' @ X2)))) 55.20/7.60 | ~ ('#form103' @ X2) 55.20/7.60 | (X2 @ '#sk7' @ '#sk8') 55.20/7.60 | ~ ('#form9') 55.20/7.60 | ('#form11'))), 55.20/7.60 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl112])). 55.20/7.60 thf(zip_derived_cl134, plain, 55.20/7.60 (![X2 : a > a > $o]: 55.20/7.60 ( ((('#sk1' @ ('#sk47' @ X2) @ ('#sk77' @ X2)) | ('#sk2' @ 55.20/7.60 ('#sk47' @ X2) @ ('#sk77' @ X2)))) 55.20/7.60 | ('#form11') 55.20/7.60 | ~ ('#form9') 55.20/7.60 | (X2 @ '#sk7' @ '#sk8') 55.20/7.60 | ~ ('#form103' @ X2))), 55.20/7.60 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl122])). 55.20/7.60 thf(zip_derived_cl147, plain, 55.20/7.60 (![X2 : a > a > $o]: 55.20/7.60 ( ('#sk1' @ ('#sk47' @ X2) @ ('#sk77' @ X2)) 55.20/7.60 | ('#sk2' @ ('#sk47' @ X2) @ ('#sk77' @ X2)) 55.20/7.60 | ~ ('#form103' @ X2) 55.20/7.60 | (X2 @ '#sk7' @ '#sk8') 55.20/7.60 | ~ ('#form9') 55.20/7.60 | ('#form11'))), 55.20/7.60 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl134])). 55.20/7.60 thf(zip_derived_cl135, plain, 55.20/7.60 (![X2 : a > a > $o]: 55.20/7.60 (~ (X2 @ ('#sk47' @ X2) @ ('#sk77' @ X2)) 55.20/7.60 | ('#form11') 55.20/7.60 | ~ ('#form9') 55.20/7.60 | (X2 @ '#sk7' @ '#sk8') 55.20/7.60 | ~ ('#form103' @ X2))), 55.20/7.60 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl122])). 55.20/7.60 thf(zip_derived_cl80, plain, 55.20/7.60 (![X2 : a > a > $o]: 55.20/7.60 (~ (((!!) @ (^[Y0 : a]: 55.20/7.60 (((!!) @ (^[Y1 : a]: 55.20/7.60 ((((('#sk2' @ Y0 @ Y1) | ('#sk1' @ Y0 @ Y1))) => 55.20/7.60 (X2 @ Y0 @ Y1))))))))) 55.20/7.60 | ~ (((!!) @ (^[Y0 : a]: 55.20/7.60 (((!!) @ (^[Y1 : a]: 55.20/7.60 (((!!) @ (^[Y2 : a]: 55.20/7.60 (((((X2 @ Y0 @ Y1) & (X2 @ 55.20/7.60 Y1 @ Y2))) => 55.20/7.60 (X2 @ Y0 @ Y2)))))))))))) 55.20/7.60 | ('#form11') 55.20/7.60 | ~ ('#form9') 55.20/7.60 | (X2 @ '#sk6' @ '#sk7'))), 55.20/7.60 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl67])). 55.20/7.60 thf(zip_derived_cl95, plain, 55.20/7.60 (![X2 : a > a > $o]: 55.20/7.60 ( ('#form103' @ X2) 55.20/7.60 | ~ (((!!) @ (^[Y0 : a]: 55.20/7.60 (((!!) @ (^[Y1 : a]: 55.20/7.60 (((!!) @ (^[Y2 : a]: 55.20/7.60 (((((X2 @ Y0 @ Y1) & (X2 @ 55.20/7.60 Y1 @ Y2))) => 55.20/7.60 (X2 @ Y0 @ Y2)))))))))))))), 55.20/7.60 define([status(thm)])). 55.20/7.60 thf(zip_derived_cl97, plain, 55.20/7.60 (![X2 : a > a > $o]: 55.20/7.60 (~ ('#form103' @ X2) 55.20/7.60 | (X2 @ '#sk6' @ '#sk7') 55.20/7.60 | ~ ('#form9') 55.20/7.60 | ('#form11') 55.20/7.60 | ~ (((!!) @ (^[Y0 : a]: 55.20/7.60 (((!!) @ (^[Y1 : a]: 55.20/7.60 ((((('#sk2' @ Y0 @ Y1) | ('#sk1' @ Y0 @ 55.20/7.60 Y1))) => 55.20/7.60 (X2 @ Y0 @ Y1))))))))))), 55.20/7.60 inference('renaming', [status(thm)], [zip_derived_cl80, zip_derived_cl95])). 55.20/7.60 thf(zip_derived_cl106, plain, 55.20/7.60 (![X2 : a > a > $o]: 55.20/7.60 (~ (((!!) @ (^[Y0 : a]: 55.20/7.60 ((((('#sk2' @ ('#sk151' @ X2) @ Y0) | ('#sk1' @ 55.20/7.60 ('#sk151' @ X2) @ Y0))) => 55.20/7.60 (X2 @ ('#sk151' @ X2) @ Y0)))))) 55.20/7.60 | ('#form11') 55.20/7.60 | ~ ('#form9') 55.20/7.60 | (X2 @ '#sk6' @ '#sk7') 55.20/7.60 | ~ ('#form103' @ X2))), 55.20/7.60 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl97])). 55.20/7.60 thf(zip_derived_cl119, plain, 55.20/7.60 (![X2 : a > a > $o]: 55.20/7.60 (~ ((((('#sk2' @ ('#sk151' @ X2) @ ('#sk224' @ X2)) | ('#sk1' @ 55.20/7.60 ('#sk151' @ X2) @ ('#sk224' @ X2)))) => 55.20/7.60 (X2 @ ('#sk151' @ X2) @ ('#sk224' @ X2)))) 55.20/7.60 | ~ ('#form103' @ X2) 55.20/7.60 | (X2 @ '#sk6' @ '#sk7') 55.20/7.60 | ~ ('#form9') 55.20/7.60 | ('#form11'))), 55.20/7.60 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl106])). 55.20/7.60 thf(zip_derived_cl130, plain, 55.20/7.60 (![X2 : a > a > $o]: 55.20/7.60 ( ((('#sk2' @ ('#sk151' @ X2) @ ('#sk224' @ X2)) | ('#sk1' @ 55.20/7.60 ('#sk151' @ X2) @ ('#sk224' @ X2)))) 55.20/7.60 | ('#form11') 55.20/7.60 | ~ ('#form9') 55.20/7.60 | (X2 @ '#sk6' @ '#sk7') 55.20/7.60 | ~ ('#form103' @ X2))), 55.20/7.60 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl119])). 55.20/7.60 thf(zip_derived_cl144, plain, 55.20/7.60 (![X2 : a > a > $o]: 55.20/7.60 ( ('#sk2' @ ('#sk151' @ X2) @ ('#sk224' @ X2)) 55.20/7.60 | ('#sk1' @ ('#sk151' @ X2) @ ('#sk224' @ X2)) 55.20/7.60 | ~ ('#form103' @ X2) 55.20/7.60 | (X2 @ '#sk6' @ '#sk7') 55.20/7.60 | ~ ('#form9') 55.20/7.60 | ('#form11'))), 55.20/7.60 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl130])). 55.20/7.60 thf(zip_derived_cl60, plain, 55.20/7.60 (( (((((!!) @ (^[Y0 : a]: 55.20/7.60 (((!!) @ (^[Y1 : a]: 55.20/7.60 (((!!) @ (^[Y2 : a]: 55.20/7.60 ((((('#sk21' @ Y1 @ Y2) & 55.20/7.60 ('#sk21' @ Y0 @ Y1))) => 55.20/7.60 ('#sk21' @ Y0 @ Y2)))))))))))) & 55.20/7.60 (((!!) @ (^[Y0 : a]: 55.20/7.60 (((!!) @ (^[Y1 : a]: 55.20/7.60 ((((('#sk1' @ Y0 @ Y1) | ('#sk2' @ Y0 @ Y1))) => 55.20/7.60 ('#sk21' @ Y0 @ Y1))))))))))) 55.20/7.60 | ('#form11') 55.20/7.60 | ~ ('#form9'))), 55.20/7.60 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl45])). 55.20/7.60 thf(zip_derived_cl70, plain, 55.20/7.60 (( (((!!) @ (^[Y0 : a]: 55.20/7.60 (((!!) @ (^[Y1 : a]: 55.20/7.60 (((!!) @ (^[Y2 : a]: 55.20/7.60 ((((('#sk21' @ Y1 @ Y2) & 55.20/7.60 ('#sk21' @ Y0 @ Y1))) => 55.20/7.60 ('#sk21' @ Y0 @ Y2)))))))))))) 55.20/7.60 | ~ ('#form9') 55.20/7.60 | ('#form11'))), 55.20/7.60 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl60])). 55.20/7.60 thf(zip_derived_cl83, plain, 55.20/7.60 (![X2 : a]: 55.20/7.60 ( (((!!) @ (^[Y0 : a]: 55.20/7.60 (((!!) @ (^[Y1 : a]: 55.20/7.60 ((((('#sk21' @ Y0 @ Y1) & ('#sk21' @ X2 @ 55.20/7.60 Y0))) => 55.20/7.60 ('#sk21' @ X2 @ Y1))))))))) 55.20/7.60 | ('#form11') 55.20/7.60 | ~ ('#form9'))), 55.20/7.60 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl70])). 55.20/7.60 thf(zip_derived_cl100, plain, 55.20/7.60 (![X2 : a, X4 : a]: 55.20/7.60 ( (((!!) @ (^[Y0 : a]: 55.20/7.60 ((((('#sk21' @ X4 @ Y0) & ('#sk21' @ X2 @ X4))) => 55.20/7.60 ('#sk21' @ X2 @ Y0)))))) 55.20/7.60 | ~ ('#form9') 55.20/7.60 | ('#form11'))), 55.20/7.60 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl83])). 55.20/7.60 thf(zip_derived_cl113, plain, 55.20/7.60 (![X2 : a, X4 : a, X6 : a]: 55.20/7.60 ( ((((('#sk21' @ X4 @ X6) & ('#sk21' @ X2 @ X4))) => ('#sk21' @ X2 @ 55.20/7.60 X6))) 55.20/7.60 | ('#form11') 55.20/7.60 | ~ ('#form9'))), 55.20/7.60 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl100])). 55.20/7.60 thf(zip_derived_cl123, plain, 55.20/7.60 (![X2 : a, X4 : a, X6 : a]: 55.20/7.60 (~ ((('#sk21' @ X4 @ X6) & ('#sk21' @ X2 @ X4))) 55.20/7.60 | ('#sk21' @ X2 @ X6) 55.20/7.60 | ~ ('#form9') 55.20/7.60 | ('#form11'))), 55.20/7.60 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl113])). 55.20/7.60 thf(zip_derived_cl136, plain, 55.20/7.60 (![X2 : a, X4 : a, X6 : a]: 55.20/7.60 (~ ('#sk21' @ X4 @ X6) 55.20/7.60 | ~ ('#sk21' @ X2 @ X4) 55.20/7.60 | ('#form11') 55.20/7.60 | ~ ('#form9') 55.20/7.60 | ('#sk21' @ X2 @ X6))), 55.20/7.60 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl123])). 55.20/7.60 thf(zip_derived_cl71, plain, 55.20/7.60 (( (((!!) @ (^[Y0 : a]: 55.20/7.60 (((!!) @ (^[Y1 : a]: 55.20/7.60 ((((('#sk1' @ Y0 @ Y1) | ('#sk2' @ Y0 @ Y1))) => 55.20/7.60 ('#sk21' @ Y0 @ Y1))))))))) 55.20/7.60 | ~ ('#form9') 55.20/7.60 | ('#form11'))), 55.20/7.60 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl60])). 55.20/7.60 thf(zip_derived_cl84, plain, 55.20/7.60 (![X2 : a]: 55.20/7.60 ( (((!!) @ (^[Y0 : a]: 55.20/7.60 ((((('#sk1' @ X2 @ Y0) | ('#sk2' @ X2 @ Y0))) => 55.20/7.60 ('#sk21' @ X2 @ Y0)))))) 55.20/7.60 | ('#form11') 55.20/7.60 | ~ ('#form9'))), 55.20/7.60 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl71])). 55.20/7.60 thf(zip_derived_cl101, plain, 55.20/7.60 (![X2 : a, X4 : a]: 55.20/7.60 ( ((((('#sk1' @ X2 @ X4) | ('#sk2' @ X2 @ X4))) => ('#sk21' @ X2 @ X4))) 55.20/7.60 | ~ ('#form9') 55.20/7.60 | ('#form11'))), 55.20/7.60 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl84])). 55.20/7.60 thf(zip_derived_cl114, plain, 55.20/7.60 (![X2 : a, X4 : a]: 55.20/7.60 (~ ((('#sk1' @ X2 @ X4) | ('#sk2' @ X2 @ X4))) 55.20/7.60 | ('#sk21' @ X2 @ X4) 55.20/7.60 | ('#form11') 55.20/7.60 | ~ ('#form9'))), 55.20/7.60 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl101])). 55.20/7.60 thf(zip_derived_cl124, plain, 55.20/7.60 (![X2 : a, X4 : a]: 55.20/7.60 (~ ('#sk1' @ X2 @ X4) 55.20/7.60 | ~ ('#form9') 55.20/7.60 | ('#form11') 55.20/7.60 | ('#sk21' @ X2 @ X4))), 55.20/7.60 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl114])). 55.20/7.60 thf(zip_derived_cl125, plain, 55.20/7.60 (![X2 : a, X4 : a]: 55.20/7.60 (~ ('#sk2' @ X2 @ X4) 55.20/7.60 | ~ ('#form9') 55.20/7.60 | ('#form11') 55.20/7.60 | ('#sk21' @ X2 @ X4))), 55.20/7.60 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl114])). 55.20/7.60 thf(zip_derived_cl131, plain, 55.20/7.60 (![X2 : a > a > $o]: 55.20/7.60 (~ (X2 @ ('#sk151' @ X2) @ ('#sk224' @ X2)) 55.20/7.60 | ('#form11') 55.20/7.60 | ~ ('#form9') 55.20/7.60 | (X2 @ '#sk6' @ '#sk7') 55.20/7.60 | ~ ('#form103' @ X2))), 55.20/7.60 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl119])). 55.20/7.60 thf(zip_derived_cl95, plain, 55.20/7.60 (![X2 : a > a > $o]: 55.20/7.60 ( ('#form103' @ X2) 55.20/7.60 | ~ (((!!) @ (^[Y0 : a]: 55.20/7.60 (((!!) @ (^[Y1 : a]: 55.20/7.60 (((!!) @ (^[Y2 : a]: 55.20/7.60 (((((X2 @ Y0 @ Y1) & (X2 @ 55.20/7.60 Y1 @ Y2))) => 55.20/7.60 (X2 @ Y0 @ Y2)))))))))))))), 55.20/7.60 define([status(thm)])). 55.20/7.60 thf(zip_derived_cl96, plain, 55.20/7.60 (![X2 : a > a > $o]: 55.20/7.60 (~ (((!!) @ (^[Y0 : a]: 55.20/7.60 (((!!) @ (^[Y1 : a]: 55.20/7.60 (((((X2 @ ('#sk104' @ X2) @ Y0) & (X2 @ 55.20/7.60 Y0 @ Y1))) => 55.20/7.60 (X2 @ ('#sk104' @ X2) @ Y1))))))))) 55.20/7.60 | ('#form103' @ X2))), 55.20/7.60 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl95])). 55.20/7.60 thf(zip_derived_cl107, plain, 55.20/7.60 (![X2 : a > a > $o]: 55.20/7.60 (~ (((!!) @ (^[Y0 : a]: 55.20/7.60 (((((X2 @ ('#sk104' @ X2) @ ('#sk162' @ X2)) & (X2 @ 55.20/7.60 ('#sk162' @ X2) @ Y0))) => 55.20/7.60 (X2 @ ('#sk104' @ X2) @ Y0)))))) 55.20/7.60 | ('#form103' @ X2))), 55.20/7.60 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl96])). 55.20/7.60 thf(zip_derived_cl120, plain, 55.20/7.60 (![X2 : a > a > $o]: 55.20/7.60 (~ (((((X2 @ ('#sk104' @ X2) @ ('#sk162' @ X2)) & (X2 @ 55.20/7.60 ('#sk162' @ X2) @ ('#sk237' @ X2)))) => 55.20/7.60 (X2 @ ('#sk104' @ X2) @ ('#sk237' @ X2)))) 55.20/7.60 | ('#form103' @ X2))), 55.20/7.60 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl107])). 55.20/7.60 thf(zip_derived_cl132, plain, 55.20/7.60 (![X2 : a > a > $o]: 55.20/7.60 ( (((X2 @ ('#sk104' @ X2) @ ('#sk162' @ X2)) & (X2 @ 55.20/7.60 ('#sk162' @ X2) @ ('#sk237' @ X2)))) 55.20/7.60 | ('#form103' @ X2))), 55.20/7.60 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl120])). 55.20/7.60 thf(zip_derived_cl145, plain, 55.20/7.60 (![X2 : a > a > $o]: 55.20/7.60 ( (X2 @ ('#sk104' @ X2) @ ('#sk162' @ X2)) | ('#form103' @ X2))), 55.20/7.60 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl132])). 55.20/7.60 thf(zip_derived_cl146, plain, 55.20/7.60 (![X2 : a > a > $o]: 55.20/7.60 ( (X2 @ ('#sk162' @ X2) @ ('#sk237' @ X2)) | ('#form103' @ X2))), 55.20/7.60 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl132])). 55.20/7.60 thf(zip_derived_cl133, plain, 55.20/7.60 (![X2 : a > a > $o]: 55.20/7.60 (~ (X2 @ ('#sk104' @ X2) @ ('#sk237' @ X2)) | ('#form103' @ X2))), 55.20/7.60 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl120])). 55.20/7.60 thf(zip_derived_cl29, plain, 55.20/7.60 ((~ ('#form11') 55.20/7.60 | (((!!) @ (^[Y0 : a > a > $o]: 55.20/7.60 (((((((!!) @ (^[Y1 : a]: 55.20/7.60 (((!!) @ (^[Y2 : a]: 55.20/7.60 ((((('#sk1' @ Y1 @ Y2) | 55.20/7.60 ('#sk2' @ Y1 @ Y2))) => 55.20/7.60 (Y0 @ Y1 @ Y2))))))))) & 55.20/7.60 (((!!) @ (^[Y1 : a]: 55.20/7.60 (((!!) @ (^[Y2 : a]: 55.20/7.60 (((!!) @ (^[Y3 : a]: 55.20/7.60 (((((Y0 @ Y1 @ 55.20/7.60 Y2) & (Y0 @ 55.20/7.60 Y2 @ Y3))) => 55.20/7.60 (Y0 @ Y1 @ Y3)))))))))))))) => 55.20/7.60 (Y0 @ '#sk3' @ '#sk4')))))))), 55.20/7.60 define([status(thm)])). 55.20/7.60 thf(zip_derived_cl30, plain, 55.20/7.60 (![X2 : a > a > $o]: 55.20/7.60 ( (((((((!!) @ (^[Y0 : a]: 55.20/7.60 (((!!) @ (^[Y1 : a]: 55.20/7.60 ((((('#sk1' @ Y0 @ Y1) | ('#sk2' @ Y0 @ 55.20/7.60 Y1))) => 55.20/7.60 (X2 @ Y0 @ Y1))))))))) & 55.20/7.60 (((!!) @ (^[Y0 : a]: 55.20/7.60 (((!!) @ (^[Y1 : a]: 55.20/7.60 (((!!) @ (^[Y2 : a]: 55.20/7.60 (((((X2 @ Y0 @ Y1) & (X2 @ 55.20/7.60 Y1 @ Y2))) => 55.20/7.60 (X2 @ Y0 @ Y2)))))))))))))) => 55.20/7.60 (X2 @ '#sk3' @ '#sk4'))) 55.20/7.60 | ~ ('#form11'))), 55.20/7.60 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl29])). 55.20/7.60 thf(zip_derived_cl31, plain, 55.20/7.60 (( (((((((!!) @ (^[Y0 : a]: 55.20/7.60 (((!!) @ (^[Y1 : a]: 55.20/7.60 ((((('#sk1' @ Y0 @ Y1) | ('#sk2' @ Y0 @ 55.20/7.60 Y1))) => 55.20/7.60 ('#sk5' @ Y0 @ Y1))))))))) & 55.20/7.60 (((!!) @ (^[Y0 : a]: 55.20/7.60 (((!!) @ (^[Y1 : a]: 55.20/7.60 (((!!) @ (^[Y2 : a]: 55.20/7.60 ((((('#sk5' @ Y0 @ Y1) & 55.20/7.60 ('#sk5' @ Y1 @ Y2))) => 55.20/7.60 ('#sk5' @ Y0 @ Y2)))))))))))))) => 55.20/7.60 ('#sk5' @ '#sk3' @ '#sk4'))) 55.20/7.60 | ~ ('#form11'))), 55.20/7.60 inference('triggered_bool_instantiation', [status(thm)], 55.20/7.60 [zip_derived_cl30])). 55.20/7.60 thf(zip_derived_cl6, plain, 55.20/7.60 (~ (((!!) @ (^[Y0 : a > a > $o]: 55.20/7.60 (((((((!!) @ (^[Y1 : a]: 55.20/7.60 (((!!) @ (^[Y2 : a]: 55.20/7.60 (((!!) @ (^[Y3 : a]: 55.20/7.60 (((((Y0 @ Y1 @ 55.20/7.60 Y2) & (Y0 @ 55.20/7.60 Y2 @ Y3))) => 55.20/7.60 (Y0 @ Y1 @ Y3)))))))))))) & 55.20/7.60 (((!!) @ (^[Y1 : a]: 55.20/7.60 (((!!) @ (^[Y2 : a]: 55.20/7.60 ((((('#sk1' @ Y1 @ Y2) | 55.20/7.60 ('#sk2' @ Y1 @ Y2))) => 55.20/7.60 (Y0 @ Y1 @ Y2))))))))))) => 55.20/7.60 (Y0 @ '#sk3' @ '#sk4'))))))), 55.20/7.60 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl4])). 55.20/7.60 thf(zip_derived_cl8, plain, 55.20/7.60 (~ (((((((!!) @ (^[Y0 : a]: 55.20/7.60 (((!!) @ (^[Y1 : a]: 55.20/7.60 (((!!) @ (^[Y2 : a]: 55.20/7.60 ((((('#sk5' @ Y0 @ Y1) & 55.20/7.60 ('#sk5' @ Y1 @ Y2))) => 55.20/7.60 ('#sk5' @ Y0 @ Y2)))))))))))) & 55.20/7.60 (((!!) @ (^[Y0 : a]: 55.20/7.60 (((!!) @ (^[Y1 : a]: 55.20/7.60 ((((('#sk1' @ Y0 @ Y1) | ('#sk2' @ Y0 @ 55.20/7.60 Y1))) => 55.20/7.60 ('#sk5' @ Y0 @ Y1))))))))))) => 55.20/7.60 ('#sk5' @ '#sk3' @ '#sk4')))), 55.20/7.60 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl6])). 55.20/7.60 thf(zip_derived_cl11, plain, (~ ('#sk5' @ '#sk3' @ '#sk4')), 55.20/7.60 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl8])). 55.20/7.60 thf(zip_derived_cl176, plain, 55.20/7.60 (( (((((((!!) @ (^[Y0 : a]: 55.20/7.60 (((!!) @ (^[Y1 : a]: 55.20/7.60 ((((('#sk1' @ Y0 @ Y1) | ('#sk2' @ Y0 @ 55.20/7.60 Y1))) => 55.20/7.60 ('#sk5' @ Y0 @ Y1))))))))) & 55.20/7.60 (((!!) @ (^[Y0 : a]: 55.20/7.60 (((!!) @ (^[Y1 : a]: 55.20/7.60 (((!!) @ (^[Y2 : a]: 55.20/7.60 ((((('#sk5' @ Y0 @ Y1) & 55.20/7.60 ('#sk5' @ Y1 @ Y2))) => 55.20/7.60 ('#sk5' @ Y0 @ Y2)))))))))))))) => 55.20/7.60 ($false))) 55.20/7.60 | ~ ('#form11'))), 55.20/7.60 inference('demod', [status(thm)], [zip_derived_cl31, zip_derived_cl11])). 55.20/7.60 thf(zip_derived_cl177, plain, 55.20/7.60 (( (((~) @ (((((!!) @ (^[Y0 : a]: 55.20/7.60 (((!!) @ (^[Y1 : a]: 55.20/7.60 ((((('#sk1' @ Y0 @ Y1) | ('#sk2' @ 55.20/7.60 Y0 @ Y1))) => 55.20/7.60 ('#sk5' @ Y0 @ Y1))))))))) & 55.20/7.60 (((!!) @ (^[Y0 : a]: 55.20/7.60 (((!!) @ (^[Y1 : a]: 55.20/7.60 (((!!) @ (^[Y2 : a]: 55.20/7.60 ((((('#sk5' @ Y0 @ Y1) & 55.20/7.60 ('#sk5' @ Y1 @ Y2))) => 55.20/7.60 ('#sk5' @ Y0 @ Y2)))))))))))))))) 55.20/7.60 | ~ ('#form11'))), 55.20/7.60 inference('simplify boolean subterms', [status(thm)], [zip_derived_cl176])). 55.20/7.60 thf(zip_derived_cl178, plain, 55.20/7.60 ((~ (((((!!) @ (^[Y0 : a]: 55.20/7.60 (((!!) @ (^[Y1 : a]: 55.20/7.60 ((((('#sk1' @ Y0 @ Y1) | ('#sk2' @ Y0 @ Y1))) => 55.20/7.60 ('#sk5' @ Y0 @ Y1))))))))) & 55.20/7.60 (((!!) @ (^[Y0 : a]: 55.20/7.60 (((!!) @ (^[Y1 : a]: 55.20/7.60 (((!!) @ (^[Y2 : a]: 55.20/7.60 ((((('#sk5' @ Y0 @ Y1) & 55.20/7.60 ('#sk5' @ Y1 @ Y2))) => 55.20/7.60 ('#sk5' @ Y0 @ Y2)))))))))))))) 55.20/7.60 | ~ ('#form11'))), 55.20/7.60 inference('simplify nested equalities', [status(thm)], 55.20/7.60 [zip_derived_cl177])). 55.20/7.60 thf(zip_derived_cl179, plain, 55.20/7.60 ((~ (((!!) @ (^[Y0 : a]: 55.20/7.60 (((!!) @ (^[Y1 : a]: 55.20/7.60 ((((('#sk1' @ Y0 @ Y1) | ('#sk2' @ Y0 @ Y1))) => 55.20/7.60 ('#sk5' @ Y0 @ Y1))))))))) 55.20/7.60 | ~ (((!!) @ (^[Y0 : a]: 55.20/7.60 (((!!) @ (^[Y1 : a]: 55.20/7.60 (((!!) @ (^[Y2 : a]: 55.20/7.60 ((((('#sk5' @ Y0 @ Y1) & 55.20/7.60 ('#sk5' @ Y1 @ Y2))) => 55.20/7.60 ('#sk5' @ Y0 @ Y2)))))))))))) 55.20/7.60 | ~ ('#form11'))), 55.20/7.60 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl178])). 55.20/7.60 thf(zip_derived_cl95, plain, 55.20/7.60 (![X2 : a > a > $o]: 55.20/7.60 ( ('#form103' @ X2) 55.20/7.60 | ~ (((!!) @ (^[Y0 : a]: 55.20/7.60 (((!!) @ (^[Y1 : a]: 55.20/7.60 (((!!) @ (^[Y2 : a]: 55.20/7.60 (((((X2 @ Y0 @ Y1) & (X2 @ 55.20/7.60 Y1 @ Y2))) => 55.20/7.60 (X2 @ Y0 @ Y2)))))))))))))), 55.20/7.60 define([status(thm)])). 55.20/7.60 thf(zip_derived_cl180, plain, 55.20/7.60 ((~ ('#form103' @ '#sk5') 55.20/7.60 | ~ ('#form11') 55.20/7.60 | ~ (((!!) @ (^[Y0 : a]: 55.20/7.60 (((!!) @ (^[Y1 : a]: 55.20/7.60 ((((('#sk1' @ Y0 @ Y1) | ('#sk2' @ Y0 @ Y1))) => 55.20/7.60 ('#sk5' @ Y0 @ Y1))))))))))), 55.20/7.60 inference('renaming', [status(thm)], 55.20/7.60 [zip_derived_cl179, zip_derived_cl95])). 55.20/7.60 thf(zip_derived_cl181, plain, 55.20/7.60 ((~ (((!!) @ (^[Y0 : a]: 55.20/7.60 ((((('#sk1' @ ('#sk47' @ '#sk5') @ Y0) | ('#sk2' @ 55.20/7.60 ('#sk47' @ '#sk5') @ Y0))) => 55.20/7.60 ('#sk5' @ ('#sk47' @ '#sk5') @ Y0)))))) 55.20/7.60 | ~ ('#form11') 55.20/7.60 | ~ ('#form103' @ '#sk5'))), 55.20/7.60 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl180])). 55.20/7.60 thf(zip_derived_cl182, plain, 55.20/7.60 ((~ ((((('#sk1' @ ('#sk47' @ '#sk5') @ ('#sk77' @ '#sk5')) | ('#sk2' @ 55.20/7.60 ('#sk47' @ '#sk5') @ ('#sk77' @ '#sk5')))) => 55.20/7.60 ('#sk5' @ ('#sk47' @ '#sk5') @ ('#sk77' @ '#sk5')))) 55.20/7.60 | ~ ('#form103' @ '#sk5') 55.20/7.60 | ~ ('#form11'))), 55.20/7.60 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl181])). 55.20/7.60 thf(zip_derived_cl183, plain, 55.20/7.60 (( ((('#sk1' @ ('#sk47' @ '#sk5') @ ('#sk77' @ '#sk5')) | ('#sk2' @ 55.20/7.60 ('#sk47' @ '#sk5') @ ('#sk77' @ '#sk5')))) 55.20/7.60 | ~ ('#form11') 55.20/7.60 | ~ ('#form103' @ '#sk5'))), 55.20/7.60 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl182])). 55.20/7.60 thf(zip_derived_cl185, plain, 55.20/7.60 (( ('#sk1' @ ('#sk47' @ '#sk5') @ ('#sk77' @ '#sk5')) 55.20/7.60 | ('#sk2' @ ('#sk47' @ '#sk5') @ ('#sk77' @ '#sk5')) 55.20/7.60 | ~ ('#form103' @ '#sk5') 55.20/7.60 | ~ ('#form11'))), 55.20/7.60 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl183])). 55.20/7.60 thf(zip_derived_cl10, plain, 55.20/7.60 ( (((((!!) @ (^[Y0 : a]: 55.20/7.60 (((!!) @ (^[Y1 : a]: 55.20/7.60 (((!!) @ (^[Y2 : a]: 55.20/7.60 ((((('#sk5' @ Y0 @ Y1) & 55.20/7.60 ('#sk5' @ Y1 @ Y2))) => 55.20/7.60 ('#sk5' @ Y0 @ Y2)))))))))))) & 55.20/7.60 (((!!) @ (^[Y0 : a]: 55.20/7.60 (((!!) @ (^[Y1 : a]: 55.20/7.60 ((((('#sk1' @ Y0 @ Y1) | ('#sk2' @ Y0 @ Y1))) => 55.20/7.60 ('#sk5' @ Y0 @ Y1)))))))))))), 55.20/7.60 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl8])). 55.20/7.60 thf(zip_derived_cl14, plain, 55.20/7.60 ( (((!!) @ (^[Y0 : a]: 55.20/7.60 (((!!) @ (^[Y1 : a]: 55.20/7.60 ((((('#sk1' @ Y0 @ Y1) | ('#sk2' @ Y0 @ Y1))) => 55.20/7.60 ('#sk5' @ Y0 @ Y1)))))))))), 55.20/7.60 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl10])). 55.20/7.60 thf(zip_derived_cl17, plain, 55.20/7.60 (![X2 : a]: 55.20/7.60 (((!!) @ (^[Y0 : a]: 55.20/7.60 ((((('#sk1' @ X2 @ Y0) | ('#sk2' @ X2 @ Y0))) => 55.20/7.60 ('#sk5' @ X2 @ Y0))))))), 55.20/7.60 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl14])). 55.20/7.60 thf(zip_derived_cl21, plain, 55.20/7.60 (![X2 : a, X4 : a]: 55.20/7.60 ((((('#sk1' @ X2 @ X4) | ('#sk2' @ X2 @ X4))) => ('#sk5' @ X2 @ X4)))), 55.20/7.60 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl17])). 55.20/7.60 thf(zip_derived_cl28, plain, 55.20/7.60 (![X2 : a, X4 : a]: 55.20/7.60 (~ ((('#sk1' @ X2 @ X4) | ('#sk2' @ X2 @ X4))) | ('#sk5' @ X2 @ X4))), 55.20/7.60 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl21])). 55.20/7.60 thf(zip_derived_cl40, plain, 55.20/7.60 (![X2 : a, X4 : a]: (~ ('#sk2' @ X2 @ X4) | ('#sk5' @ X2 @ X4))), 55.20/7.60 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl28])). 55.20/7.60 thf(zip_derived_cl13, plain, 55.20/7.60 ( (((!!) @ (^[Y0 : a]: 55.20/7.60 (((!!) @ (^[Y1 : a]: 55.20/7.60 (((!!) @ (^[Y2 : a]: 55.20/7.60 ((((('#sk5' @ Y0 @ Y1) & ('#sk5' @ 55.20/7.60 Y1 @ Y2))) => 55.20/7.60 ('#sk5' @ Y0 @ Y2))))))))))))), 55.20/7.60 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl10])). 55.20/7.60 thf(zip_derived_cl16, plain, 55.20/7.60 (![X2 : a]: 55.20/7.60 (((!!) @ (^[Y0 : a]: 55.20/7.60 (((!!) @ (^[Y1 : a]: 55.20/7.60 ((((('#sk5' @ X2 @ Y0) & ('#sk5' @ Y0 @ Y1))) => 55.20/7.60 ('#sk5' @ X2 @ Y1)))))))))), 55.20/7.60 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl13])). 55.20/7.60 thf(zip_derived_cl20, plain, 55.20/7.60 (![X2 : a, X4 : a]: 55.20/7.60 (((!!) @ (^[Y0 : a]: 55.20/7.60 ((((('#sk5' @ X2 @ X4) & ('#sk5' @ X4 @ Y0))) => 55.20/7.60 ('#sk5' @ X2 @ Y0))))))), 55.20/7.60 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl16])). 55.20/7.60 thf(zip_derived_cl27, plain, 55.20/7.60 (![X2 : a, X4 : a, X6 : a]: 55.20/7.60 ((((('#sk5' @ X2 @ X4) & ('#sk5' @ X4 @ X6))) => ('#sk5' @ X2 @ X6)))), 55.20/7.60 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl20])). 55.20/7.60 thf(zip_derived_cl38, plain, 55.20/7.60 (![X2 : a, X4 : a, X6 : a]: 55.20/7.60 (~ ((('#sk5' @ X2 @ X4) & ('#sk5' @ X4 @ X6))) | ('#sk5' @ X2 @ X6))), 55.20/7.60 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl27])). 55.20/7.60 thf(zip_derived_cl48, plain, 55.20/7.60 (![X2 : a, X4 : a, X6 : a]: 55.20/7.60 (~ ('#sk5' @ X2 @ X4) | ~ ('#sk5' @ X4 @ X6) | ('#sk5' @ X2 @ X6))), 55.20/7.60 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl38])). 55.20/7.60 thf(zip_derived_cl184, plain, 55.20/7.60 ((~ ('#sk5' @ ('#sk47' @ '#sk5') @ ('#sk77' @ '#sk5')) 55.20/7.60 | ~ ('#form11') 55.20/7.60 | ~ ('#form103' @ '#sk5'))), 55.20/7.60 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl182])). 55.20/7.60 thf(zip_derived_cl39, plain, 55.20/7.60 (![X2 : a, X4 : a]: (~ ('#sk1' @ X2 @ X4) | ('#sk5' @ X2 @ X4))), 55.20/7.60 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl28])). 55.20/7.60 thf(zip_derived_cl9153, plain, ($false), 55.20/7.60 inference('eprover', [status(thm)], 55.20/7.60 [zip_derived_cl79, zip_derived_cl153, zip_derived_cl142, 55.20/7.60 zip_derived_cl154, zip_derived_cl277, zip_derived_cl278, 55.20/7.60 zip_derived_cl141, zip_derived_cl61, zip_derived_cl150, 55.20/7.60 zip_derived_cl147, zip_derived_cl135, zip_derived_cl144, 55.20/7.60 zip_derived_cl136, zip_derived_cl124, zip_derived_cl125, 55.20/7.60 zip_derived_cl131, zip_derived_cl145, zip_derived_cl146, 55.20/7.60 zip_derived_cl133, zip_derived_cl185, zip_derived_cl40, 55.20/7.60 zip_derived_cl48, zip_derived_cl184, zip_derived_cl39])). 55.20/7.60 55.20/7.60 % SZS output end Refutation 55.20/7.60 55.20/7.60 55.20/7.60 % Terminating... 55.72/7.72 % Runner terminated. 55.72/7.73 % Zipperpin 1.5 exiting 55.72/7.74 EOF