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.OoFK8i6RWV true 0.14/0.34 % Computer : n031.cluster.edu 0.14/0.34 % Model : x86_64 x86_64 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.14/0.34 % Memory : 8042.1875MB 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64 0.14/0.34 % CPULimit : 1920 0.14/0.34 % WCLimit : 240 0.14/0.34 % DateTime : Wed Jul 30 02:40:20 EDT 2025 0.14/0.34 % CPUTime : 0.14/0.34 % Running portfolio for 1920 s 0.14/0.34 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p 0.14/0.35 % Number of cores: 8 0.14/0.35 % Python version: Python 3.6.8 0.14/0.35 % Running in HO mode 0.55/0.67 % Total configuration time : 828 0.55/0.67 % Estimated wc time : 1656 0.55/0.67 % Estimated cpu time (8 cpus) : 207.0 0.55/0.73 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s 0.55/0.73 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s 0.55/0.74 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s 0.55/0.74 % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s 0.56/0.76 % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s 0.56/0.76 % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s 0.56/0.79 % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s 0.56/0.79 % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s 45.57/7.20 % Solved by lams/20_acsne_simpl.sh. 45.57/7.20 % done 872 iterations in 6.175s 45.57/7.20 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p' 45.57/7.20 % SZS output start Refutation 45.57/7.20 thf(a_type, type, a: $tType). 45.57/7.20 thf('#sk4_type', type, '#sk4': a). 45.57/7.20 thf('#sk30_type', type, '#sk30': a > a > $o). 45.57/7.20 thf('#sk103_type', type, '#sk103': (a > a > $o) > a). 45.57/7.20 thf('#sk252_type', type, '#sk252': (a > a > $o) > a). 45.57/7.20 thf('#sk196_type', type, '#sk196': (a > a > $o) > a). 45.57/7.20 thf('#sk3_type', type, '#sk3': a). 45.57/7.20 thf('#sk12_type', type, '#sk12': a). 45.57/7.20 thf('#sk21_type', type, '#sk21': a > a > $o). 45.57/7.20 thf('#sk475_type', type, '#sk475': (a > a > $o) > a). 45.57/7.20 thf('#sk47_type', type, '#sk47': (a > a > $o) > a). 45.57/7.20 thf('#sk182_type', type, '#sk182': (a > a > $o) > a). 45.57/7.20 thf('#sk77_type', type, '#sk77': (a > a > $o) > a). 45.57/7.20 thf('#sk6_type', type, '#sk6': a). 45.57/7.20 thf('#sk130_type', type, '#sk130': (a > a > $o) > a). 45.57/7.20 thf('#sk2_type', type, '#sk2': a > a > $o). 45.57/7.20 thf('#sk288_type', type, '#sk288': (a > a > $o) > a). 45.57/7.20 thf('#sk384_type', type, '#sk384': (a > a > $o) > a). 45.57/7.20 thf('#sk8_type', type, '#sk8': a). 45.57/7.20 thf('#sk10_type', type, '#sk10': a). 45.57/7.20 thf('#sk7_type', type, '#sk7': a). 45.57/7.20 thf('#sk157_type', type, '#sk157': (a > a > $o) > a). 45.57/7.20 thf('#form9_type', type, '#form9': $o). 45.57/7.20 thf('#sk333_type', type, '#sk333': (a > a > $o) > a). 45.57/7.20 thf('#sk362_type', type, '#sk362': (a > a > $o) > a). 45.57/7.20 thf('#form11_type', type, '#form11': $o). 45.57/7.20 thf('#sk5_type', type, '#sk5': a > a > $o). 45.57/7.20 thf('#form401_type', type, '#form401': (a > a > $o) > $o). 45.57/7.20 thf('#sk225_type', type, '#sk225': (a > a > $o) > a). 45.57/7.20 thf('#sk1_type', type, '#sk1': a > a > $o). 45.57/7.20 thf('#form94_type', type, '#form94': $o). 45.57/7.20 thf('#form279_type', type, '#form279': (a > a > $o) > $o). 45.57/7.20 thf(cTHM250D_pme, conjecture, 45.57/7.20 (![R:( a > a > $o ),S:( a > a > $o ),Xx:a,Xy:a]: 45.57/7.20 ( ( ( ( ![Xx0:a,Xy0:a,Xz:a]: 45.57/7.20 ( ( ( ![Xp1:( a > a > $o )]: 45.57/7.20 ( ( ( ![Xx1:a,Xy1:a,Xz0:a]: 45.57/7.20 ( ( ( Xp1 @ Xy1 @ Xz0 ) & ( Xp1 @ Xx1 @ Xy1 ) ) => 45.57/7.20 ( Xp1 @ Xx1 @ Xz0 ) ) ) & 45.57/7.20 ( ![Xx1:a,Xy1:a]: 45.57/7.20 ( ( ( R @ Xx1 @ Xy1 ) | ( S @ Xx1 @ Xy1 ) ) => 45.57/7.20 ( Xp1 @ Xx1 @ Xy1 ) ) ) ) => 45.57/7.20 ( Xp1 @ Xy0 @ Xz ) ) ) & 45.57/7.20 ( ![Xp1:( a > a > $o )]: 45.57/7.20 ( ( ( ![Xx1:a,Xy1:a]: 45.57/7.20 ( ( ( S @ Xx1 @ Xy1 ) | ( R @ Xx1 @ Xy1 ) ) => 45.57/7.20 ( Xp1 @ Xx1 @ Xy1 ) ) ) & 45.57/7.20 ( ![Xx1:a,Xy1:a,Xz0:a]: 45.57/7.20 ( ( ( Xp1 @ Xy1 @ Xz0 ) & ( Xp1 @ Xx1 @ Xy1 ) ) => 45.57/7.20 ( Xp1 @ Xx1 @ Xz0 ) ) ) ) => 45.57/7.20 ( Xp1 @ Xx0 @ Xy0 ) ) ) ) => 45.57/7.20 ( ![Xp1:( a > a > $o )]: 45.57/7.20 ( ( ( ![Xx1:a,Xy1:a]: 45.57/7.20 ( ( ( R @ Xx1 @ Xy1 ) | ( S @ Xx1 @ Xy1 ) ) => 45.57/7.20 ( Xp1 @ Xx1 @ Xy1 ) ) ) & 45.57/7.20 ( ![Xx1:a,Xy1:a,Xz0:a]: 45.57/7.20 ( ( ( Xp1 @ Xx1 @ Xy1 ) & ( Xp1 @ Xy1 @ Xz0 ) ) => 45.57/7.20 ( Xp1 @ Xx1 @ Xz0 ) ) ) ) => 45.57/7.20 ( Xp1 @ Xx0 @ Xz ) ) ) ) ) & 45.57/7.20 ( ![Xx0:a,Xy0:a]: 45.57/7.20 ( ( ( ![Xp1:( a > a > $o )]: 45.57/7.20 ( ( ( ![Xx1:a,Xy1:a]: 45.57/7.20 ( ( R @ Xx1 @ Xy1 ) => ( Xp1 @ Xx1 @ Xy1 ) ) ) & 45.57/7.20 ( ![Xx1:a,Xy1:a,Xz:a]: 45.57/7.20 ( ( ( Xp1 @ Xy1 @ Xz ) & ( Xp1 @ Xx1 @ Xy1 ) ) => 45.57/7.20 ( Xp1 @ Xx1 @ Xz ) ) ) ) => 45.57/7.20 ( Xp1 @ Xx0 @ Xy0 ) ) ) | 45.57/7.20 ( ![Xp1:( a > a > $o )]: 45.57/7.20 ( ( ( ![Xx1:a,Xy1:a]: 45.57/7.20 ( ( S @ Xx1 @ Xy1 ) => ( Xp1 @ Xx1 @ Xy1 ) ) ) & 45.57/7.20 ( ![Xx1:a,Xy1:a,Xz:a]: 45.57/7.20 ( ( ( Xp1 @ Xx1 @ Xy1 ) & ( Xp1 @ Xy1 @ Xz ) ) => 45.57/7.20 ( Xp1 @ Xx1 @ Xz ) ) ) ) => 45.57/7.20 ( Xp1 @ Xx0 @ Xy0 ) ) ) ) => 45.57/7.20 ( ![Xp1:( a > a > $o )]: 45.57/7.20 ( ( ( ![Xx1:a,Xy1:a,Xz:a]: 45.57/7.20 ( ( ( Xp1 @ Xy1 @ Xz ) & ( Xp1 @ Xx1 @ Xy1 ) ) => 45.57/7.20 ( Xp1 @ Xx1 @ Xz ) ) ) & 45.57/7.20 ( ![Xx1:a,Xy1:a]: 45.57/7.20 ( ( ( S @ Xx1 @ Xy1 ) | ( R @ Xx1 @ Xy1 ) ) => 45.57/7.20 ( Xp1 @ Xx1 @ Xy1 ) ) ) ) => 45.57/7.20 ( Xp1 @ Xx0 @ Xy0 ) ) ) ) ) ) => 45.57/7.20 ( ![Xp1:( a > a > $o )]: 45.57/7.20 ( ( ( ![Xx0:a,Xy0:a]: 45.57/7.20 ( ( ( R @ Xx0 @ Xy0 ) | ( S @ Xx0 @ Xy0 ) ) => 45.57/7.20 ( Xp1 @ Xx0 @ Xy0 ) ) ) & 45.57/7.20 ( ![Xx0:a,Xy0:a,Xz:a]: 45.57/7.20 ( ( ( Xp1 @ Xx0 @ Xy0 ) & ( Xp1 @ Xy0 @ Xz ) ) => 45.57/7.20 ( Xp1 @ Xx0 @ Xz ) ) ) ) => 45.57/7.20 ( Xp1 @ Xx @ Xy ) ) ) ) => 45.57/7.20 ( ![Xp1:( a > a > $o )]: 45.57/7.20 ( ( ( ![Xx0:a,Xy0:a,Xz:a]: 45.57/7.20 ( ( ( Xp1 @ Xx0 @ Xy0 ) & ( Xp1 @ Xy0 @ Xz ) ) => 45.57/7.20 ( Xp1 @ Xx0 @ Xz ) ) ) & 45.57/7.20 ( ![Xx0:a,Xy0:a]: 45.57/7.20 ( ( ( R @ Xx0 @ Xy0 ) | ( S @ Xx0 @ Xy0 ) ) => 45.57/7.20 ( Xp1 @ Xx0 @ Xy0 ) ) ) ) => 45.57/7.20 ( Xp1 @ Xx @ Xy ) ) ) ))). 45.57/7.20 thf(zf_stmt_0, negated_conjecture, 45.57/7.20 (~( ![R:( a > a > $o ),S:( a > a > $o ),Xx:a,Xy:a]: 45.57/7.20 ( ( ( ( ![Xx0:a,Xy0:a,Xz:a]: 45.57/7.20 ( ( ( ![Xp1:( a > a > $o )]: 45.57/7.20 ( ( ( ![Xx1:a,Xy1:a,Xz0:a]: 45.57/7.20 ( ( ( Xp1 @ Xy1 @ Xz0 ) & ( Xp1 @ Xx1 @ Xy1 ) ) => 45.57/7.20 ( Xp1 @ Xx1 @ Xz0 ) ) ) & 45.57/7.20 ( ![Xx1:a,Xy1:a]: 45.57/7.20 ( ( ( R @ Xx1 @ Xy1 ) | ( S @ Xx1 @ Xy1 ) ) => 45.57/7.20 ( Xp1 @ Xx1 @ Xy1 ) ) ) ) => 45.57/7.20 ( Xp1 @ Xy0 @ Xz ) ) ) & 45.57/7.20 ( ![Xp1:( a > a > $o )]: 45.57/7.20 ( ( ( ![Xx1:a,Xy1:a]: 45.57/7.20 ( ( ( S @ Xx1 @ Xy1 ) | ( R @ Xx1 @ Xy1 ) ) => 45.57/7.20 ( Xp1 @ Xx1 @ Xy1 ) ) ) & 45.57/7.20 ( ![Xx1:a,Xy1:a,Xz0:a]: 45.57/7.20 ( ( ( Xp1 @ Xy1 @ Xz0 ) & ( Xp1 @ Xx1 @ Xy1 ) ) => 45.57/7.20 ( Xp1 @ Xx1 @ Xz0 ) ) ) ) => 45.57/7.20 ( Xp1 @ Xx0 @ Xy0 ) ) ) ) => 45.57/7.20 ( ![Xp1:( a > a > $o )]: 45.57/7.20 ( ( ( ![Xx1:a,Xy1:a]: 45.57/7.20 ( ( ( R @ Xx1 @ Xy1 ) | ( S @ Xx1 @ Xy1 ) ) => 45.57/7.20 ( Xp1 @ Xx1 @ Xy1 ) ) ) & 45.57/7.20 ( ![Xx1:a,Xy1:a,Xz0:a]: 45.57/7.20 ( ( ( Xp1 @ Xx1 @ Xy1 ) & ( Xp1 @ Xy1 @ Xz0 ) ) => 45.57/7.20 ( Xp1 @ Xx1 @ Xz0 ) ) ) ) => 45.57/7.20 ( Xp1 @ Xx0 @ Xz ) ) ) ) ) & 45.57/7.20 ( ![Xx0:a,Xy0:a]: 45.57/7.20 ( ( ( ![Xp1:( a > a > $o )]: 45.57/7.20 ( ( ( ![Xx1:a,Xy1:a]: 45.57/7.20 ( ( R @ Xx1 @ Xy1 ) => ( Xp1 @ Xx1 @ Xy1 ) ) ) & 45.57/7.20 ( ![Xx1:a,Xy1:a,Xz:a]: 45.57/7.20 ( ( ( Xp1 @ Xy1 @ Xz ) & ( Xp1 @ Xx1 @ Xy1 ) ) => 45.57/7.20 ( Xp1 @ Xx1 @ Xz ) ) ) ) => 45.57/7.20 ( Xp1 @ Xx0 @ Xy0 ) ) ) | 45.57/7.20 ( ![Xp1:( a > a > $o )]: 45.57/7.20 ( ( ( ![Xx1:a,Xy1:a]: 45.57/7.20 ( ( S @ Xx1 @ Xy1 ) => ( Xp1 @ Xx1 @ Xy1 ) ) ) & 45.57/7.20 ( ![Xx1:a,Xy1:a,Xz:a]: 45.57/7.20 ( ( ( Xp1 @ Xx1 @ Xy1 ) & ( Xp1 @ Xy1 @ Xz ) ) => 45.57/7.20 ( Xp1 @ Xx1 @ Xz ) ) ) ) => 45.57/7.20 ( Xp1 @ Xx0 @ Xy0 ) ) ) ) => 45.57/7.20 ( ![Xp1:( a > a > $o )]: 45.57/7.20 ( ( ( ![Xx1:a,Xy1:a,Xz:a]: 45.57/7.20 ( ( ( Xp1 @ Xy1 @ Xz ) & ( Xp1 @ Xx1 @ Xy1 ) ) => 45.57/7.20 ( Xp1 @ Xx1 @ Xz ) ) ) & 45.57/7.20 ( ![Xx1:a,Xy1:a]: 45.57/7.20 ( ( ( S @ Xx1 @ Xy1 ) | ( R @ Xx1 @ Xy1 ) ) => 45.57/7.20 ( Xp1 @ Xx1 @ Xy1 ) ) ) ) => 45.57/7.20 ( Xp1 @ Xx0 @ Xy0 ) ) ) ) ) ) => 45.57/7.20 ( ![Xp1:( a > a > $o )]: 45.57/7.20 ( ( ( ![Xx0:a,Xy0:a]: 45.57/7.20 ( ( ( R @ Xx0 @ Xy0 ) | ( S @ Xx0 @ Xy0 ) ) => 45.57/7.20 ( Xp1 @ Xx0 @ Xy0 ) ) ) & 45.57/7.20 ( ![Xx0:a,Xy0:a,Xz:a]: 45.57/7.20 ( ( ( Xp1 @ Xx0 @ Xy0 ) & ( Xp1 @ Xy0 @ Xz ) ) => 45.57/7.20 ( Xp1 @ Xx0 @ Xz ) ) ) ) => 45.57/7.20 ( Xp1 @ Xx @ Xy ) ) ) ) => 45.57/7.20 ( ![Xp1:( a > a > $o )]: 45.57/7.20 ( ( ( ![Xx0:a,Xy0:a,Xz:a]: 45.57/7.20 ( ( ( Xp1 @ Xx0 @ Xy0 ) & ( Xp1 @ Xy0 @ Xz ) ) => 45.57/7.20 ( Xp1 @ Xx0 @ Xz ) ) ) & 45.57/7.20 ( ![Xx0:a,Xy0:a]: 45.57/7.20 ( ( ( R @ Xx0 @ Xy0 ) | ( S @ Xx0 @ Xy0 ) ) => 45.57/7.20 ( Xp1 @ Xx0 @ Xy0 ) ) ) ) => 45.57/7.20 ( Xp1 @ Xx @ Xy ) ) ) ) )), 45.57/7.20 inference('cnf.neg', [status(esa)], [cTHM250D_pme])). 45.57/7.20 thf(zip_derived_cl0, plain, 45.57/7.20 (~ (((!!) @ (^[Y0 : a > a > $o]: 45.57/7.20 (((!!) @ (^[Y1 : a > a > $o]: 45.57/7.20 (((!!) @ (^[Y2 : a]: 45.57/7.20 (((!!) @ (^[Y3 : a]: 45.57/7.20 (((((((((!!) @ ( 45.57/7.20 ^[Y4 : a]: 45.57/7.20 (((!!) @ ( 45.57/7.20 ^[Y5 : a]: 45.57/7.20 (( 45.57/7.20 (!!) @ ( 45.57/7.20 ^[Y6 : a]: 45.57/7.20 (( 45.57/7.20 (( 45.57/7.20 (( 45.57/7.20 (!!) @ ( 45.57/7.20 ^[Y7 : 45.57/7.20 a > a > $o]: 45.57/7.20 (( 45.57/7.20 (( 45.57/7.20 (( 45.57/7.20 (!!) @ ( 45.57/7.20 ^[Y8 : a]: 45.57/7.20 (( 45.57/7.20 (!!) @ ( 45.57/7.20 ^[Y9 : a]: 45.57/7.20 (( 45.57/7.20 (!!) @ ( 45.57/7.20 ^[Y10 : a]: 45.57/7.20 (( 45.57/7.20 (( 45.57/7.20 (Y7 @ 45.57/7.20 Y9 @ 45.57/7.20 Y10) & 45.57/7.20 (Y7 @ 45.57/7.20 Y8 @ Y9))) => 45.57/7.20 (Y7 @ 45.57/7.20 Y8 @ Y10)))))))))))) & 45.57/7.20 (( 45.57/7.20 (!!) @ ( 45.57/7.20 ^[Y8 : a]: 45.57/7.20 (( 45.57/7.20 (!!) @ ( 45.57/7.20 ^[Y9 : a]: 45.57/7.20 (( 45.57/7.20 (( 45.57/7.20 (Y0 @ 45.57/7.20 Y8 @ 45.57/7.20 Y9) | 45.57/7.20 (Y1 @ 45.57/7.20 Y8 @ Y9))) => 45.57/7.20 (Y7 @ 45.57/7.20 Y8 @ Y9))))))))))) => 45.57/7.20 (Y7 @ 45.57/7.20 Y5 @ Y6)))))) & 45.57/7.20 (( 45.57/7.20 (!!) @ ( 45.57/7.20 ^[Y7 : 45.57/7.20 a > a > $o]: 45.57/7.20 (( 45.57/7.20 (( 45.57/7.20 (( 45.57/7.20 (!!) @ ( 45.57/7.20 ^[Y8 : a]: 45.57/7.20 (( 45.57/7.20 (!!) @ ( 45.57/7.20 ^[Y9 : a]: 45.57/7.20 (( 45.57/7.20 (( 45.57/7.20 (Y1 @ 45.57/7.20 Y8 @ 45.57/7.20 Y9) | 45.57/7.20 (Y0 @ 45.57/7.20 Y8 @ Y9))) => 45.57/7.20 (Y7 @ 45.57/7.20 Y8 @ Y9))))))))) & 45.57/7.20 (( 45.57/7.20 (!!) @ ( 45.57/7.20 ^[Y8 : a]: 45.57/7.20 (( 45.57/7.20 (!!) @ ( 45.57/7.20 ^[Y9 : a]: 45.57/7.20 (( 45.57/7.20 (!!) @ ( 45.57/7.20 ^[Y10 : a]: 45.57/7.20 (( 45.57/7.20 (( 45.57/7.20 (Y7 @ 45.57/7.20 Y9 @ 45.57/7.20 Y10) & 45.57/7.20 (Y7 @ 45.57/7.20 Y8 @ Y9))) => 45.57/7.20 (Y7 @ 45.57/7.20 Y8 @ Y10)))))))))))))) => 45.57/7.20 (Y7 @ 45.57/7.20 Y4 @ Y5)))))))) => 45.57/7.20 (( 45.57/7.20 (!!) @ ( 45.57/7.20 ^[Y7 : 45.57/7.20 a > a > $o]: 45.57/7.20 (( 45.57/7.20 (( 45.57/7.20 (( 45.57/7.20 (!!) @ ( 45.57/7.20 ^[Y8 : a]: 45.57/7.20 (( 45.57/7.20 (!!) @ ( 45.57/7.20 ^[Y9 : a]: 45.57/7.20 (( 45.57/7.20 (( 45.57/7.20 (Y0 @ 45.57/7.20 Y8 @ 45.57/7.20 Y9) | 45.57/7.20 (Y1 @ 45.57/7.20 Y8 @ Y9))) => 45.57/7.20 (Y7 @ 45.57/7.20 Y8 @ Y9))))))))) & 45.57/7.20 (( 45.57/7.20 (!!) @ ( 45.57/7.20 ^[Y8 : a]: 45.57/7.20 (( 45.57/7.20 (!!) @ ( 45.57/7.20 ^[Y9 : a]: 45.57/7.20 (( 45.57/7.20 (!!) @ ( 45.57/7.20 ^[Y10 : a]: 45.57/7.20 (( 45.57/7.20 (( 45.57/7.20 (Y7 @ 45.57/7.20 Y8 @ 45.57/7.20 Y9) & 45.57/7.20 (Y7 @ 45.57/7.20 Y9 @ Y10))) => 45.57/7.20 (Y7 @ 45.57/7.20 Y8 @ Y10)))))))))))))) => 45.57/7.20 (Y7 @ 45.57/7.20 Y4 @ Y6))))))))))))))))) & 45.57/7.20 (((!!) @ ( 45.57/7.20 ^[Y4 : a]: 45.57/7.20 (((!!) @ ( 45.57/7.20 ^[Y5 : a]: 45.57/7.20 (( 45.57/7.20 (( 45.57/7.20 (( 45.57/7.20 (!!) @ ( 45.57/7.20 ^[Y6 : 45.57/7.20 a > a > $o]: 45.57/7.20 (( 45.57/7.20 (( 45.57/7.20 (( 45.57/7.20 (!!) @ ( 45.57/7.20 ^[Y7 : a]: 45.57/7.20 (( 45.57/7.20 (!!) @ ( 45.57/7.20 ^[Y8 : a]: 45.57/7.20 (( 45.57/7.20 (Y0 @ 45.57/7.20 Y7 @ 45.57/7.20 Y8) => 45.57/7.20 (Y6 @ 45.57/7.20 Y7 @ Y8))))))))) & 45.57/7.20 (( 45.57/7.20 (!!) @ ( 45.57/7.20 ^[Y7 : a]: 45.57/7.20 (( 45.57/7.20 (!!) @ ( 45.57/7.20 ^[Y8 : a]: 45.57/7.20 (( 45.57/7.20 (!!) @ ( 45.57/7.20 ^[Y9 : a]: 45.57/7.20 (( 45.57/7.20 (( 45.57/7.20 (Y6 @ 45.57/7.20 Y8 @ 45.57/7.20 Y9) & 45.57/7.20 (Y6 @ 45.57/7.20 Y7 @ Y8))) => 45.57/7.20 (Y6 @ 45.57/7.20 Y7 @ Y9)))))))))))))) => 45.57/7.20 (Y6 @ 45.57/7.20 Y4 @ Y5)))))) | 45.57/7.20 (( 45.57/7.20 (!!) @ ( 45.57/7.20 ^[Y6 : 45.57/7.20 a > a > $o]: 45.57/7.20 (( 45.57/7.20 (( 45.57/7.20 (( 45.57/7.20 (!!) @ ( 45.57/7.20 ^[Y7 : a]: 45.57/7.20 (( 45.57/7.20 (!!) @ ( 45.57/7.20 ^[Y8 : a]: 45.57/7.20 (( 45.57/7.20 (Y1 @ 45.57/7.20 Y7 @ 45.57/7.20 Y8) => 45.57/7.20 (Y6 @ 45.57/7.20 Y7 @ Y8))))))))) & 45.57/7.20 (( 45.57/7.20 (!!) @ ( 45.57/7.20 ^[Y7 : a]: 45.57/7.20 (( 45.57/7.20 (!!) @ ( 45.57/7.20 ^[Y8 : a]: 45.57/7.20 (( 45.57/7.20 (!!) @ ( 45.57/7.20 ^[Y9 : a]: 45.57/7.20 (( 45.57/7.20 (( 45.57/7.20 (Y6 @ 45.57/7.20 Y7 @ 45.57/7.20 Y8) & 45.57/7.20 (Y6 @ 45.57/7.20 Y8 @ Y9))) => 45.57/7.20 (Y6 @ 45.57/7.20 Y7 @ Y9)))))))))))))) => 45.57/7.20 (Y6 @ 45.57/7.20 Y4 @ Y5)))))))) => 45.57/7.20 (( 45.57/7.20 (!!) @ ( 45.57/7.20 ^[Y6 : 45.57/7.20 a > a > $o]: 45.57/7.20 (( 45.57/7.20 (( 45.57/7.20 (( 45.57/7.20 (!!) @ ( 45.57/7.20 ^[Y7 : a]: 45.57/7.20 (( 45.57/7.20 (!!) @ ( 45.57/7.20 ^[Y8 : a]: 45.57/7.20 (( 45.57/7.20 (!!) @ ( 45.57/7.20 ^[Y9 : a]: 45.57/7.20 (( 45.57/7.20 (( 45.57/7.20 (Y6 @ 45.57/7.20 Y8 @ 45.57/7.20 Y9) & 45.57/7.20 (Y6 @ 45.57/7.20 Y7 @ Y8))) => 45.57/7.20 (Y6 @ 45.57/7.20 Y7 @ Y9)))))))))))) & 45.57/7.20 (( 45.57/7.20 (!!) @ ( 45.57/7.20 ^[Y7 : a]: 45.57/7.20 (( 45.57/7.20 (!!) @ ( 45.57/7.20 ^[Y8 : a]: 45.57/7.20 (( 45.57/7.20 (( 45.57/7.20 (Y1 @ 45.57/7.20 Y7 @ 45.57/7.20 Y8) | 45.57/7.20 (Y0 @ 45.57/7.20 Y7 @ Y8))) => 45.57/7.20 (Y6 @ 45.57/7.20 Y7 @ Y8))))))))))) => 45.57/7.20 (Y6 @ 45.57/7.20 Y4 @ Y5)))))))))))))))) => 45.57/7.20 (((!!) @ ( 45.57/7.20 ^[Y4 : a > a > $o]: 45.57/7.20 (((((( 45.57/7.20 (!!) @ ( 45.57/7.20 ^[Y5 : a]: 45.57/7.20 (( 45.57/7.20 (!!) @ ( 45.57/7.20 ^[Y6 : a]: 45.57/7.20 (( 45.57/7.20 (( 45.57/7.20 (Y0 @ 45.57/7.20 Y5 @ 45.57/7.20 Y6) | 45.57/7.20 (Y1 @ 45.57/7.20 Y5 @ Y6))) => 45.57/7.20 (Y4 @ 45.57/7.20 Y5 @ Y6))))))))) & 45.57/7.20 (( 45.57/7.20 (!!) @ ( 45.57/7.20 ^[Y5 : a]: 45.57/7.20 (( 45.57/7.20 (!!) @ ( 45.57/7.20 ^[Y6 : a]: 45.57/7.20 (( 45.57/7.20 (!!) @ ( 45.57/7.20 ^[Y7 : a]: 45.57/7.20 (( 45.57/7.20 (( 45.57/7.20 (Y4 @ 45.57/7.20 Y5 @ 45.57/7.20 Y6) & 45.57/7.20 (Y4 @ 45.57/7.20 Y6 @ Y7))) => 45.57/7.20 (Y4 @ 45.57/7.20 Y5 @ Y7)))))))))))))) => 45.57/7.20 (Y4 @ Y2 @ 45.57/7.20 Y3)))))))) => 45.57/7.20 (((!!) @ (^[Y4 : 45.57/7.20 a > a > $o]: 45.57/7.20 (( 45.57/7.20 (( 45.57/7.20 (( 45.57/7.20 (!!) @ ( 45.57/7.20 ^[Y5 : a]: 45.57/7.20 (( 45.57/7.20 (!!) @ ( 45.57/7.20 ^[Y6 : a]: 45.57/7.20 (( 45.57/7.20 (!!) @ ( 45.57/7.20 ^[Y7 : a]: 45.57/7.20 (( 45.57/7.20 (( 45.57/7.20 (Y4 @ 45.57/7.20 Y5 @ 45.57/7.20 Y6) & 45.57/7.20 (Y4 @ 45.57/7.20 Y6 @ Y7))) => 45.57/7.20 (Y4 @ 45.57/7.20 Y5 @ Y7)))))))))))) & 45.57/7.20 (( 45.57/7.20 (!!) @ ( 45.57/7.20 ^[Y5 : a]: 45.57/7.20 (( 45.57/7.20 (!!) @ ( 45.57/7.20 ^[Y6 : a]: 45.57/7.20 (( 45.57/7.20 (( 45.57/7.20 (Y0 @ 45.57/7.20 Y5 @ 45.57/7.20 Y6) | 45.57/7.20 (Y1 @ 45.57/7.20 Y5 @ Y6))) => 45.57/7.20 (Y4 @ 45.57/7.20 Y5 @ Y6))))))))))) => 45.57/7.20 (Y4 @ 45.57/7.20 Y2 @ Y3))))))))))))))))))))), 45.57/7.20 inference('cnf', [status(esa)], [zf_stmt_0])). 45.57/7.20 thf(zip_derived_cl1, plain, 45.57/7.20 (~ (((!!) @ (^[Y0 : a > a > $o]: 45.57/7.20 (((!!) @ (^[Y1 : a]: 45.57/7.20 (((!!) @ (^[Y2 : a]: 45.57/7.20 (((((((((!!) @ (^[Y3 : a]: 45.57/7.20 (((!!) @ ( 45.57/7.20 ^[Y4 : a]: 45.57/7.20 (((!!) @ ( 45.57/7.20 ^[Y5 : a]: 45.57/7.20 (( 45.57/7.20 (( 45.57/7.20 (( 45.57/7.20 (!!) @ ( 45.57/7.20 ^[Y6 : 45.57/7.20 a > a > $o]: 45.57/7.20 (( 45.57/7.20 (( 45.57/7.20 (( 45.57/7.20 (!!) @ ( 45.57/7.20 ^[Y7 : a]: 45.57/7.20 (( 45.57/7.20 (!!) @ ( 45.57/7.20 ^[Y8 : a]: 45.57/7.20 (( 45.57/7.20 (!!) @ ( 45.57/7.20 ^[Y9 : a]: 45.57/7.20 (( 45.57/7.20 (( 45.57/7.20 (Y6 @ 45.57/7.20 Y8 @ 45.57/7.20 Y9) & 45.57/7.20 (Y6 @ 45.57/7.20 Y7 @ Y8))) => 45.57/7.20 (Y6 @ 45.57/7.20 Y7 @ Y9)))))))))))) & 45.57/7.20 (( 45.57/7.20 (!!) @ ( 45.57/7.20 ^[Y7 : a]: 45.57/7.20 (( 45.57/7.20 (!!) @ ( 45.57/7.20 ^[Y8 : a]: 45.57/7.20 (( 45.57/7.20 (( 45.57/7.20 ('#sk1' @ 45.57/7.20 Y7 @ 45.57/7.20 Y8) | 45.57/7.20 (Y0 @ 45.57/7.20 Y7 @ Y8))) => 45.57/7.20 (Y6 @ 45.57/7.20 Y7 @ Y8))))))))))) => 45.57/7.20 (Y6 @ 45.57/7.20 Y4 @ Y5)))))) & 45.57/7.20 (( 45.57/7.20 (!!) @ ( 45.57/7.20 ^[Y6 : 45.57/7.20 a > a > $o]: 45.57/7.20 (( 45.57/7.20 (( 45.57/7.20 (( 45.57/7.20 (!!) @ ( 45.57/7.20 ^[Y7 : a]: 45.57/7.20 (( 45.57/7.20 (!!) @ ( 45.57/7.20 ^[Y8 : a]: 45.57/7.20 (( 45.57/7.20 (( 45.57/7.20 (Y0 @ 45.57/7.20 Y7 @ 45.57/7.20 Y8) | 45.57/7.20 ('#sk1' @ 45.57/7.20 Y7 @ Y8))) => 45.57/7.20 (Y6 @ 45.57/7.20 Y7 @ Y8))))))))) & 45.57/7.20 (( 45.57/7.20 (!!) @ ( 45.57/7.20 ^[Y7 : a]: 45.57/7.20 (( 45.57/7.20 (!!) @ ( 45.57/7.20 ^[Y8 : a]: 45.57/7.20 (( 45.57/7.20 (!!) @ ( 45.57/7.20 ^[Y9 : a]: 45.57/7.20 (( 45.57/7.20 (( 45.57/7.20 (Y6 @ 45.57/7.20 Y8 @ 45.57/7.20 Y9) & 45.57/7.20 (Y6 @ 45.57/7.20 Y7 @ Y8))) => 45.57/7.20 (Y6 @ 45.57/7.20 Y7 @ Y9)))))))))))))) => 45.57/7.20 (Y6 @ 45.57/7.20 Y3 @ Y4)))))))) => 45.57/7.20 (( 45.57/7.20 (!!) @ ( 45.57/7.20 ^[Y6 : 45.57/7.20 a > a > $o]: 45.57/7.20 (( 45.57/7.20 (( 45.57/7.20 (( 45.57/7.20 (!!) @ ( 45.57/7.20 ^[Y7 : a]: 45.57/7.20 (( 45.57/7.20 (!!) @ ( 45.57/7.20 ^[Y8 : a]: 45.57/7.20 (( 45.57/7.20 (( 45.57/7.20 ('#sk1' @ 45.57/7.20 Y7 @ 45.57/7.20 Y8) | 45.57/7.20 (Y0 @ 45.57/7.20 Y7 @ Y8))) => 45.57/7.20 (Y6 @ 45.57/7.20 Y7 @ Y8))))))))) & 45.57/7.20 (( 45.57/7.20 (!!) @ ( 45.57/7.20 ^[Y7 : a]: 45.57/7.20 (( 45.57/7.20 (!!) @ ( 45.57/7.20 ^[Y8 : a]: 45.57/7.20 (( 45.57/7.20 (!!) @ ( 45.57/7.20 ^[Y9 : a]: 45.57/7.20 (( 45.57/7.20 (( 45.57/7.20 (Y6 @ 45.57/7.20 Y7 @ 45.57/7.20 Y8) & 45.57/7.20 (Y6 @ 45.57/7.20 Y8 @ Y9))) => 45.57/7.20 (Y6 @ 45.57/7.20 Y7 @ Y9)))))))))))))) => 45.57/7.20 (Y6 @ 45.57/7.20 Y3 @ Y5))))))))))))))))) & 45.57/7.20 (((!!) @ (^[Y3 : a]: 45.57/7.20 (((!!) @ ( 45.57/7.20 ^[Y4 : a]: 45.57/7.20 (((( 45.57/7.20 (( 45.57/7.20 (!!) @ ( 45.57/7.20 ^[Y5 : 45.57/7.20 a > a > $o]: 45.57/7.20 (( 45.57/7.20 (( 45.57/7.20 (( 45.57/7.20 (!!) @ ( 45.57/7.20 ^[Y6 : a]: 45.57/7.20 (( 45.57/7.20 (!!) @ ( 45.57/7.20 ^[Y7 : a]: 45.57/7.20 (( 45.57/7.20 ('#sk1' @ 45.57/7.20 Y6 @ 45.57/7.20 Y7) => 45.57/7.20 (Y5 @ 45.57/7.20 Y6 @ Y7))))))))) & 45.57/7.20 (( 45.57/7.20 (!!) @ ( 45.57/7.20 ^[Y6 : a]: 45.57/7.20 (( 45.57/7.20 (!!) @ ( 45.57/7.20 ^[Y7 : a]: 45.57/7.20 (( 45.57/7.20 (!!) @ ( 45.57/7.20 ^[Y8 : a]: 45.57/7.20 (( 45.57/7.20 (( 45.57/7.20 (Y5 @ 45.57/7.20 Y7 @ 45.57/7.20 Y8) & 45.57/7.20 (Y5 @ 45.57/7.20 Y6 @ Y7))) => 45.57/7.20 (Y5 @ 45.57/7.20 Y6 @ Y8)))))))))))))) => 45.57/7.20 (Y5 @ 45.57/7.20 Y3 @ Y4)))))) | 45.57/7.20 (( 45.57/7.20 (!!) @ ( 45.57/7.20 ^[Y5 : 45.57/7.20 a > a > $o]: 45.57/7.20 (( 45.57/7.20 (( 45.57/7.20 (( 45.57/7.20 (!!) @ ( 45.57/7.20 ^[Y6 : a]: 45.57/7.20 (( 45.57/7.20 (!!) @ ( 45.57/7.20 ^[Y7 : a]: 45.57/7.20 (( 45.57/7.20 (Y0 @ 45.57/7.20 Y6 @ 45.57/7.20 Y7) => 45.57/7.20 (Y5 @ 45.57/7.20 Y6 @ Y7))))))))) & 45.57/7.20 (( 45.57/7.20 (!!) @ ( 45.57/7.20 ^[Y6 : a]: 45.57/7.20 (( 45.57/7.20 (!!) @ ( 45.57/7.20 ^[Y7 : a]: 45.57/7.20 (( 45.57/7.20 (!!) @ ( 45.57/7.20 ^[Y8 : a]: 45.57/7.20 (( 45.57/7.20 (( 45.57/7.20 (Y5 @ 45.57/7.20 Y6 @ 45.57/7.20 Y7) & 45.57/7.20 (Y5 @ 45.57/7.20 Y7 @ Y8))) => 45.57/7.20 (Y5 @ 45.57/7.20 Y6 @ Y8)))))))))))))) => 45.57/7.20 (Y5 @ 45.57/7.20 Y3 @ Y4)))))))) => 45.57/7.20 (( 45.57/7.20 (!!) @ ( 45.57/7.20 ^[Y5 : 45.57/7.20 a > a > $o]: 45.57/7.20 (( 45.57/7.20 (( 45.57/7.20 (( 45.57/7.20 (!!) @ ( 45.57/7.20 ^[Y6 : a]: 45.57/7.20 (( 45.57/7.20 (!!) @ ( 45.57/7.20 ^[Y7 : a]: 45.57/7.20 (( 45.57/7.20 (!!) @ ( 45.57/7.20 ^[Y8 : a]: 45.57/7.20 (( 45.57/7.20 (( 45.57/7.20 (Y5 @ 45.57/7.20 Y7 @ 45.57/7.20 Y8) & 45.57/7.20 (Y5 @ 45.57/7.20 Y6 @ Y7))) => 45.57/7.20 (Y5 @ 45.57/7.20 Y6 @ Y8)))))))))))) & 45.57/7.20 (( 45.57/7.20 (!!) @ ( 45.57/7.20 ^[Y6 : a]: 45.57/7.20 (( 45.57/7.20 (!!) @ ( 45.57/7.20 ^[Y7 : a]: 45.57/7.20 (( 45.57/7.20 (( 45.57/7.20 (Y0 @ 45.57/7.20 Y6 @ 45.57/7.20 Y7) | 45.57/7.20 ('#sk1' @ 45.57/7.20 Y6 @ Y7))) => 45.57/7.20 (Y5 @ 45.57/7.20 Y6 @ Y7))))))))))) => 45.57/7.20 (Y5 @ 45.57/7.20 Y3 @ Y4)))))))))))))))) => 45.57/7.20 (((!!) @ (^[Y3 : a > a > $o]: 45.57/7.20 (((((((!!) @ ( 45.57/7.20 ^[Y4 : a]: 45.57/7.20 (( 45.57/7.20 (!!) @ ( 45.57/7.20 ^[Y5 : a]: 45.57/7.20 (( 45.57/7.20 (( 45.57/7.20 ('#sk1' @ 45.57/7.20 Y4 @ 45.57/7.20 Y5) | 45.57/7.20 (Y0 @ 45.57/7.20 Y4 @ Y5))) => 45.57/7.20 (Y3 @ 45.57/7.20 Y4 @ Y5))))))))) & 45.57/7.20 (((!!) @ ( 45.57/7.20 ^[Y4 : a]: 45.57/7.20 (( 45.57/7.20 (!!) @ ( 45.57/7.20 ^[Y5 : a]: 45.57/7.20 (( 45.57/7.20 (!!) @ ( 45.57/7.20 ^[Y6 : a]: 45.57/7.20 (( 45.57/7.20 (( 45.57/7.20 (Y3 @ 45.57/7.20 Y4 @ 45.57/7.20 Y5) & 45.57/7.20 (Y3 @ 45.57/7.20 Y5 @ Y6))) => 45.57/7.20 (Y3 @ 45.57/7.20 Y4 @ Y6)))))))))))))) => 45.57/7.20 (Y3 @ Y1 @ Y2)))))))) => 45.57/7.20 (((!!) @ (^[Y3 : a > a > $o]: 45.57/7.20 (((((((!!) @ ( 45.57/7.20 ^[Y4 : a]: 45.57/7.20 (((!!) @ ( 45.57/7.20 ^[Y5 : a]: 45.57/7.20 (( 45.57/7.20 (!!) @ ( 45.57/7.20 ^[Y6 : a]: 45.57/7.20 (( 45.57/7.20 (( 45.57/7.20 (Y3 @ 45.57/7.20 Y4 @ 45.57/7.20 Y5) & 45.57/7.20 (Y3 @ 45.57/7.20 Y5 @ Y6))) => 45.57/7.20 (Y3 @ 45.57/7.20 Y4 @ Y6)))))))))))) & 45.57/7.20 (((!!) @ ( 45.57/7.20 ^[Y4 : a]: 45.57/7.20 (((!!) @ ( 45.57/7.20 ^[Y5 : a]: 45.57/7.20 (( 45.57/7.20 (( 45.57/7.20 ('#sk1' @ 45.57/7.20 Y4 @ 45.57/7.20 Y5) | 45.57/7.20 (Y0 @ 45.57/7.20 Y4 @ Y5))) => 45.57/7.20 (Y3 @ 45.57/7.20 Y4 @ Y5))))))))))) => 45.57/7.20 (Y3 @ Y1 @ Y2)))))))))))))))))), 45.57/7.20 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl0])). 45.57/7.20 thf(zip_derived_cl2, plain, 45.57/7.20 (~ (((!!) @ (^[Y0 : a]: 45.57/7.20 (((!!) @ (^[Y1 : a]: 45.57/7.20 (((((((((!!) @ (^[Y2 : a]: 45.57/7.20 (((!!) @ (^[Y3 : a]: 45.57/7.20 (((!!) @ ( 45.57/7.20 ^[Y4 : a]: 45.57/7.20 (((( 45.57/7.20 (( 45.57/7.20 (!!) @ ( 45.57/7.20 ^[Y5 : 45.57/7.20 a > a > $o]: 45.57/7.20 (( 45.57/7.20 (( 45.57/7.20 (( 45.57/7.20 (!!) @ ( 45.57/7.20 ^[Y6 : a]: 45.57/7.20 (( 45.57/7.20 (!!) @ ( 45.57/7.20 ^[Y7 : a]: 45.57/7.20 (( 45.57/7.20 (!!) @ ( 45.57/7.20 ^[Y8 : a]: 45.57/7.20 (( 45.57/7.20 (( 45.57/7.20 (Y5 @ 45.57/7.20 Y7 @ 45.57/7.20 Y8) & 45.57/7.20 (Y5 @ 45.57/7.20 Y6 @ Y7))) => 45.57/7.20 (Y5 @ 45.57/7.20 Y6 @ Y8)))))))))))) & 45.57/7.20 (( 45.57/7.20 (!!) @ ( 45.57/7.20 ^[Y6 : a]: 45.57/7.20 (( 45.57/7.20 (!!) @ ( 45.57/7.20 ^[Y7 : a]: 45.57/7.20 (( 45.57/7.20 (( 45.57/7.20 ('#sk1' @ 45.57/7.20 Y6 @ 45.57/7.20 Y7) | 45.57/7.20 ('#sk2' @ 45.57/7.20 Y6 @ Y7))) => 45.57/7.20 (Y5 @ 45.57/7.20 Y6 @ Y7))))))))))) => 45.57/7.20 (Y5 @ 45.57/7.20 Y3 @ Y4)))))) & 45.57/7.20 (( 45.57/7.20 (!!) @ ( 45.57/7.20 ^[Y5 : 45.57/7.20 a > a > $o]: 45.57/7.20 (( 45.57/7.20 (( 45.57/7.20 (( 45.57/7.20 (!!) @ ( 45.57/7.20 ^[Y6 : a]: 45.57/7.20 (( 45.57/7.20 (!!) @ ( 45.57/7.20 ^[Y7 : a]: 45.57/7.20 (( 45.57/7.20 (( 45.57/7.20 ('#sk2' @ 45.57/7.20 Y6 @ 45.57/7.20 Y7) | 45.57/7.20 ('#sk1' @ 45.57/7.20 Y6 @ Y7))) => 45.57/7.20 (Y5 @ 45.57/7.20 Y6 @ Y7))))))))) & 45.57/7.20 (( 45.57/7.20 (!!) @ ( 45.57/7.20 ^[Y6 : a]: 45.57/7.20 (( 45.57/7.20 (!!) @ ( 45.57/7.20 ^[Y7 : a]: 45.57/7.20 (( 45.57/7.20 (!!) @ ( 45.57/7.20 ^[Y8 : a]: 45.57/7.20 (( 45.57/7.20 (( 45.57/7.20 (Y5 @ 45.57/7.20 Y7 @ 45.57/7.20 Y8) & 45.57/7.20 (Y5 @ 45.57/7.20 Y6 @ Y7))) => 45.57/7.20 (Y5 @ 45.57/7.20 Y6 @ Y8)))))))))))))) => 45.57/7.20 (Y5 @ 45.57/7.20 Y2 @ Y3)))))))) => 45.57/7.20 (( 45.57/7.20 (!!) @ ( 45.57/7.20 ^[Y5 : 45.57/7.20 a > a > $o]: 45.57/7.20 (( 45.57/7.20 (( 45.57/7.20 (( 45.57/7.20 (!!) @ ( 45.57/7.20 ^[Y6 : a]: 45.57/7.20 (( 45.57/7.20 (!!) @ ( 45.57/7.20 ^[Y7 : a]: 45.57/7.20 (( 45.57/7.20 (( 45.57/7.20 ('#sk1' @ 45.57/7.20 Y6 @ 45.57/7.20 Y7) | 45.57/7.20 ('#sk2' @ 45.57/7.20 Y6 @ Y7))) => 45.57/7.20 (Y5 @ 45.57/7.20 Y6 @ Y7))))))))) & 45.57/7.20 (( 45.57/7.20 (!!) @ ( 45.57/7.20 ^[Y6 : a]: 45.57/7.20 (( 45.57/7.20 (!!) @ ( 45.57/7.20 ^[Y7 : a]: 45.57/7.20 (( 45.57/7.20 (!!) @ ( 45.57/7.20 ^[Y8 : a]: 45.57/7.20 (( 45.57/7.20 (( 45.57/7.20 (Y5 @ 45.57/7.20 Y6 @ 45.57/7.20 Y7) & 45.57/7.20 (Y5 @ 45.57/7.20 Y7 @ Y8))) => 45.57/7.20 (Y5 @ 45.57/7.20 Y6 @ Y8)))))))))))))) => 45.57/7.20 (Y5 @ 45.57/7.20 Y2 @ Y4))))))))))))))))) & 45.57/7.20 (((!!) @ (^[Y2 : a]: 45.57/7.20 (((!!) @ (^[Y3 : a]: 45.57/7.20 (((((((!!) @ ( 45.57/7.20 ^[Y4 : 45.57/7.20 a > a > $o]: 45.57/7.20 (( 45.57/7.20 (( 45.57/7.20 (( 45.57/7.20 (!!) @ ( 45.57/7.20 ^[Y5 : a]: 45.57/7.20 (( 45.57/7.20 (!!) @ ( 45.57/7.20 ^[Y6 : a]: 45.57/7.20 (( 45.57/7.20 ('#sk1' @ 45.57/7.20 Y5 @ 45.57/7.20 Y6) => 45.57/7.20 (Y4 @ 45.57/7.20 Y5 @ Y6))))))))) & 45.57/7.20 (( 45.57/7.20 (!!) @ ( 45.57/7.20 ^[Y5 : a]: 45.57/7.20 (( 45.57/7.20 (!!) @ ( 45.57/7.20 ^[Y6 : a]: 45.57/7.20 (( 45.57/7.20 (!!) @ ( 45.57/7.20 ^[Y7 : a]: 45.57/7.20 (( 45.57/7.20 (( 45.57/7.20 (Y4 @ 45.57/7.20 Y6 @ 45.57/7.20 Y7) & 45.57/7.20 (Y4 @ 45.57/7.20 Y5 @ Y6))) => 45.57/7.20 (Y4 @ 45.57/7.20 Y5 @ Y7)))))))))))))) => 45.57/7.20 (Y4 @ 45.57/7.20 Y2 @ Y3)))))) | 45.57/7.20 (((!!) @ ( 45.57/7.20 ^[Y4 : 45.57/7.20 a > a > $o]: 45.57/7.20 (( 45.57/7.20 (( 45.57/7.20 (( 45.57/7.20 (!!) @ ( 45.57/7.20 ^[Y5 : a]: 45.57/7.20 (( 45.57/7.20 (!!) @ ( 45.57/7.20 ^[Y6 : a]: 45.57/7.20 (( 45.57/7.20 ('#sk2' @ 45.57/7.20 Y5 @ 45.57/7.20 Y6) => 45.57/7.20 (Y4 @ 45.57/7.20 Y5 @ Y6))))))))) & 45.57/7.20 (( 45.57/7.20 (!!) @ ( 45.57/7.20 ^[Y5 : a]: 45.57/7.20 (( 45.57/7.20 (!!) @ ( 45.57/7.20 ^[Y6 : a]: 45.57/7.20 (( 45.57/7.20 (!!) @ ( 45.57/7.20 ^[Y7 : a]: 45.57/7.20 (( 45.57/7.20 (( 45.57/7.20 (Y4 @ 45.57/7.20 Y5 @ 45.57/7.20 Y6) & 45.57/7.20 (Y4 @ 45.57/7.20 Y6 @ Y7))) => 45.57/7.20 (Y4 @ 45.57/7.20 Y5 @ Y7)))))))))))))) => 45.57/7.20 (Y4 @ 45.57/7.20 Y2 @ Y3)))))))) => 45.57/7.20 (((!!) @ ( 45.57/7.20 ^[Y4 : 45.57/7.20 a > a > $o]: 45.57/7.20 (( 45.57/7.20 (( 45.57/7.20 (( 45.57/7.20 (!!) @ ( 45.57/7.20 ^[Y5 : a]: 45.57/7.20 (( 45.57/7.20 (!!) @ ( 45.57/7.20 ^[Y6 : a]: 45.57/7.20 (( 45.57/7.20 (!!) @ ( 45.57/7.20 ^[Y7 : a]: 45.57/7.20 (( 45.57/7.20 (( 45.57/7.20 (Y4 @ 45.57/7.20 Y6 @ 45.57/7.20 Y7) & 45.57/7.20 (Y4 @ 45.57/7.20 Y5 @ Y6))) => 45.57/7.20 (Y4 @ 45.57/7.20 Y5 @ Y7)))))))))))) & 45.57/7.20 (( 45.57/7.20 (!!) @ ( 45.57/7.20 ^[Y5 : a]: 45.57/7.20 (( 45.57/7.20 (!!) @ ( 45.57/7.20 ^[Y6 : a]: 45.57/7.20 (( 45.57/7.20 (( 45.57/7.20 ('#sk2' @ 45.57/7.20 Y5 @ 45.57/7.20 Y6) | 45.57/7.20 ('#sk1' @ 45.57/7.20 Y5 @ Y6))) => 45.57/7.20 (Y4 @ 45.57/7.20 Y5 @ Y6))))))))))) => 45.57/7.20 (Y4 @ 45.57/7.20 Y2 @ Y3)))))))))))))))) => 45.57/7.20 (((!!) @ (^[Y2 : a > a > $o]: 45.57/7.20 (((((((!!) @ (^[Y3 : a]: 45.57/7.20 (((!!) @ ( 45.57/7.20 ^[Y4 : a]: 45.57/7.20 (( 45.57/7.20 (( 45.57/7.20 ('#sk1' @ 45.57/7.20 Y3 @ 45.57/7.20 Y4) | 45.57/7.20 ('#sk2' @ 45.57/7.20 Y3 @ Y4))) => 45.57/7.20 (Y2 @ 45.57/7.20 Y3 @ Y4))))))))) & 45.57/7.20 (((!!) @ (^[Y3 : a]: 45.57/7.20 (((!!) @ ( 45.57/7.20 ^[Y4 : a]: 45.57/7.20 (( 45.57/7.20 (!!) @ ( 45.57/7.20 ^[Y5 : a]: 45.57/7.20 (( 45.57/7.20 (( 45.57/7.20 (Y2 @ 45.57/7.20 Y3 @ 45.57/7.20 Y4) & 45.57/7.20 (Y2 @ 45.57/7.20 Y4 @ Y5))) => 45.57/7.20 (Y2 @ 45.57/7.20 Y3 @ Y5)))))))))))))) => 45.57/7.20 (Y2 @ Y0 @ Y1)))))))) => 45.57/7.20 (((!!) @ (^[Y2 : a > a > $o]: 45.57/7.20 (((((((!!) @ (^[Y3 : a]: 45.57/7.20 (((!!) @ ( 45.57/7.20 ^[Y4 : a]: 45.57/7.20 (((!!) @ ( 45.57/7.20 ^[Y5 : a]: 45.57/7.20 (( 45.57/7.20 (( 45.57/7.20 (Y2 @ 45.57/7.20 Y3 @ 45.57/7.20 Y4) & 45.57/7.20 (Y2 @ 45.57/7.20 Y4 @ Y5))) => 45.57/7.20 (Y2 @ 45.57/7.20 Y3 @ Y5)))))))))))) & 45.57/7.20 (((!!) @ (^[Y3 : a]: 45.57/7.20 (((!!) @ ( 45.57/7.20 ^[Y4 : a]: 45.57/7.20 (((( 45.57/7.20 ('#sk1' @ 45.57/7.20 Y3 @ Y4) | 45.57/7.20 ('#sk2' @ 45.57/7.20 Y3 @ Y4))) => 45.57/7.20 (Y2 @ 45.57/7.20 Y3 @ Y4))))))))))) => 45.57/7.20 (Y2 @ Y0 @ Y1))))))))))))))), 45.57/7.20 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl1])). 45.57/7.20 thf(zip_derived_cl3, plain, 45.57/7.20 (~ (((!!) @ (^[Y0 : a]: 45.57/7.20 (((((((((!!) @ (^[Y1 : a]: 45.57/7.20 (((!!) @ (^[Y2 : a]: 45.57/7.20 (((!!) @ (^[Y3 : a]: 45.57/7.20 (((((((!!) @ ( 45.57/7.20 ^[Y4 : 45.57/7.20 a > a > $o]: 45.57/7.20 (( 45.57/7.20 (( 45.57/7.20 (( 45.57/7.20 (!!) @ ( 45.57/7.20 ^[Y5 : a]: 45.57/7.20 (( 45.57/7.20 (!!) @ ( 45.57/7.20 ^[Y6 : a]: 45.57/7.20 (( 45.57/7.20 (!!) @ ( 45.57/7.20 ^[Y7 : a]: 45.57/7.20 (( 45.57/7.20 (( 45.57/7.20 (Y4 @ 45.57/7.20 Y6 @ 45.57/7.20 Y7) & 45.57/7.20 (Y4 @ 45.57/7.20 Y5 @ Y6))) => 45.57/7.20 (Y4 @ 45.57/7.20 Y5 @ Y7)))))))))))) & 45.57/7.20 (( 45.57/7.20 (!!) @ ( 45.57/7.20 ^[Y5 : a]: 45.57/7.20 (( 45.57/7.20 (!!) @ ( 45.57/7.20 ^[Y6 : a]: 45.57/7.20 (( 45.57/7.20 (( 45.57/7.20 ('#sk1' @ 45.57/7.20 Y5 @ 45.57/7.20 Y6) | 45.57/7.20 ('#sk2' @ 45.57/7.20 Y5 @ Y6))) => 45.57/7.20 (Y4 @ 45.57/7.20 Y5 @ Y6))))))))))) => 45.57/7.20 (Y4 @ 45.57/7.20 Y2 @ Y3)))))) & 45.57/7.20 (((!!) @ ( 45.57/7.20 ^[Y4 : 45.57/7.20 a > a > $o]: 45.57/7.20 (( 45.57/7.20 (( 45.57/7.20 (( 45.57/7.20 (!!) @ ( 45.57/7.20 ^[Y5 : a]: 45.57/7.20 (( 45.57/7.20 (!!) @ ( 45.57/7.20 ^[Y6 : a]: 45.57/7.20 (( 45.57/7.20 (( 45.57/7.20 ('#sk2' @ 45.57/7.20 Y5 @ 45.57/7.20 Y6) | 45.57/7.20 ('#sk1' @ 45.57/7.20 Y5 @ Y6))) => 45.57/7.20 (Y4 @ 45.57/7.20 Y5 @ Y6))))))))) & 45.57/7.20 (( 45.57/7.20 (!!) @ ( 45.57/7.20 ^[Y5 : a]: 45.57/7.20 (( 45.57/7.20 (!!) @ ( 45.57/7.20 ^[Y6 : a]: 45.57/7.20 (( 45.57/7.20 (!!) @ ( 45.57/7.20 ^[Y7 : a]: 45.57/7.20 (( 45.57/7.20 (( 45.57/7.20 (Y4 @ 45.57/7.20 Y6 @ 45.57/7.20 Y7) & 45.57/7.20 (Y4 @ 45.57/7.20 Y5 @ Y6))) => 45.57/7.20 (Y4 @ 45.57/7.20 Y5 @ Y7)))))))))))))) => 45.57/7.20 (Y4 @ 45.57/7.20 Y1 @ Y2)))))))) => 45.57/7.20 (((!!) @ ( 45.57/7.20 ^[Y4 : 45.57/7.20 a > a > $o]: 45.57/7.20 (( 45.57/7.20 (( 45.57/7.20 (( 45.57/7.20 (!!) @ ( 45.57/7.20 ^[Y5 : a]: 45.57/7.20 (( 45.57/7.20 (!!) @ ( 45.57/7.20 ^[Y6 : a]: 45.57/7.20 (( 45.57/7.20 (( 45.57/7.20 ('#sk1' @ 45.57/7.20 Y5 @ 45.57/7.20 Y6) | 45.57/7.20 ('#sk2' @ 45.57/7.20 Y5 @ Y6))) => 45.57/7.20 (Y4 @ 45.57/7.20 Y5 @ Y6))))))))) & 45.57/7.20 (( 45.57/7.20 (!!) @ ( 45.57/7.20 ^[Y5 : a]: 45.57/7.20 (( 45.57/7.20 (!!) @ ( 45.57/7.20 ^[Y6 : a]: 45.57/7.20 (( 45.57/7.20 (!!) @ ( 45.57/7.20 ^[Y7 : a]: 45.57/7.20 (( 45.57/7.20 (( 45.57/7.20 (Y4 @ 45.57/7.20 Y5 @ 45.57/7.20 Y6) & 45.57/7.20 (Y4 @ 45.57/7.20 Y6 @ Y7))) => 45.57/7.20 (Y4 @ 45.57/7.20 Y5 @ Y7)))))))))))))) => 45.57/7.20 (Y4 @ 45.57/7.20 Y1 @ Y3))))))))))))))))) & 45.57/7.20 (((!!) @ (^[Y1 : a]: 45.57/7.20 (((!!) @ (^[Y2 : a]: 45.57/7.20 (((((((!!) @ (^[Y3 : 45.57/7.20 a > a > $o]: 45.57/7.20 (((( 45.57/7.20 (( 45.57/7.20 (!!) @ ( 45.57/7.20 ^[Y4 : a]: 45.57/7.20 (( 45.57/7.20 (!!) @ ( 45.57/7.20 ^[Y5 : a]: 45.57/7.20 (( 45.57/7.20 ('#sk1' @ 45.57/7.20 Y4 @ 45.57/7.20 Y5) => 45.57/7.20 (Y3 @ 45.57/7.20 Y4 @ Y5))))))))) & 45.57/7.20 (( 45.57/7.20 (!!) @ ( 45.57/7.20 ^[Y4 : a]: 45.57/7.20 (( 45.57/7.20 (!!) @ ( 45.57/7.20 ^[Y5 : a]: 45.57/7.20 (( 45.57/7.20 (!!) @ ( 45.57/7.20 ^[Y6 : a]: 45.57/7.20 (( 45.57/7.20 (( 45.57/7.20 (Y3 @ 45.57/7.20 Y5 @ 45.57/7.20 Y6) & 45.57/7.20 (Y3 @ 45.57/7.20 Y4 @ Y5))) => 45.57/7.20 (Y3 @ 45.57/7.20 Y4 @ Y6)))))))))))))) => 45.57/7.20 (Y3 @ 45.57/7.20 Y1 @ Y2)))))) | 45.57/7.20 (((!!) @ (^[Y3 : 45.57/7.20 a > a > $o]: 45.57/7.20 (((( 45.57/7.20 (( 45.57/7.20 (!!) @ ( 45.57/7.20 ^[Y4 : a]: 45.57/7.20 (( 45.57/7.20 (!!) @ ( 45.57/7.20 ^[Y5 : a]: 45.57/7.20 (( 45.57/7.20 ('#sk2' @ 45.57/7.20 Y4 @ 45.57/7.20 Y5) => 45.57/7.20 (Y3 @ 45.57/7.20 Y4 @ Y5))))))))) & 45.57/7.20 (( 45.57/7.20 (!!) @ ( 45.57/7.20 ^[Y4 : a]: 45.57/7.20 (( 45.57/7.20 (!!) @ ( 45.57/7.20 ^[Y5 : a]: 45.57/7.20 (( 45.57/7.20 (!!) @ ( 45.57/7.20 ^[Y6 : a]: 45.57/7.20 (( 45.57/7.20 (( 45.57/7.20 (Y3 @ 45.57/7.20 Y4 @ 45.57/7.20 Y5) & 45.57/7.20 (Y3 @ 45.57/7.20 Y5 @ Y6))) => 45.57/7.20 (Y3 @ 45.57/7.20 Y4 @ Y6)))))))))))))) => 45.57/7.20 (Y3 @ 45.57/7.20 Y1 @ Y2)))))))) => 45.57/7.20 (((!!) @ (^[Y3 : a > a > $o]: 45.57/7.20 (((((( 45.57/7.20 (!!) @ ( 45.57/7.20 ^[Y4 : a]: 45.57/7.20 (( 45.57/7.20 (!!) @ ( 45.57/7.20 ^[Y5 : a]: 45.57/7.20 (( 45.57/7.20 (!!) @ ( 45.57/7.20 ^[Y6 : a]: 45.57/7.20 (( 45.57/7.20 (( 45.57/7.20 (Y3 @ 45.57/7.20 Y5 @ 45.57/7.20 Y6) & 45.57/7.20 (Y3 @ 45.57/7.20 Y4 @ Y5))) => 45.57/7.20 (Y3 @ 45.57/7.20 Y4 @ Y6)))))))))))) & 45.57/7.20 (( 45.57/7.20 (!!) @ ( 45.57/7.20 ^[Y4 : a]: 45.57/7.21 (( 45.57/7.21 (!!) @ ( 45.57/7.21 ^[Y5 : a]: 45.57/7.21 (( 45.57/7.21 (( 45.57/7.21 ('#sk2' @ 45.57/7.21 Y4 @ 45.57/7.21 Y5) | 45.57/7.21 ('#sk1' @ 45.57/7.21 Y4 @ Y5))) => 45.57/7.21 (Y3 @ 45.57/7.21 Y4 @ Y5))))))))))) => 45.57/7.21 (Y3 @ Y1 @ 45.57/7.21 Y2)))))))))))))))) => 45.57/7.21 (((!!) @ (^[Y1 : a > a > $o]: 45.57/7.21 (((((((!!) @ (^[Y2 : a]: 45.57/7.21 (((!!) @ (^[Y3 : a]: 45.57/7.21 ((((('#sk1' @ 45.57/7.21 Y2 @ Y3) | 45.57/7.21 ('#sk2' @ 45.57/7.21 Y2 @ Y3))) => 45.57/7.21 (Y1 @ Y2 @ 45.57/7.21 Y3))))))))) & 45.57/7.21 (((!!) @ (^[Y2 : a]: 45.57/7.21 (((!!) @ (^[Y3 : a]: 45.57/7.21 (((!!) @ ( 45.57/7.21 ^[Y4 : a]: 45.57/7.21 (( 45.57/7.21 (( 45.57/7.21 (Y1 @ 45.57/7.21 Y2 @ 45.57/7.21 Y3) & 45.57/7.21 (Y1 @ 45.57/7.21 Y3 @ Y4))) => 45.57/7.21 (Y1 @ 45.57/7.21 Y2 @ Y4)))))))))))))) => 45.57/7.21 (Y1 @ '#sk3' @ Y0)))))))) => 45.57/7.21 (((!!) @ (^[Y1 : a > a > $o]: 45.57/7.21 (((((((!!) @ (^[Y2 : a]: 45.57/7.21 (((!!) @ (^[Y3 : a]: 45.57/7.21 (((!!) @ ( 45.57/7.21 ^[Y4 : a]: 45.57/7.21 (((( 45.57/7.21 (Y1 @ 45.57/7.21 Y2 @ Y3) & 45.57/7.21 (Y1 @ 45.57/7.21 Y3 @ Y4))) => 45.57/7.21 (Y1 @ 45.57/7.21 Y2 @ Y4)))))))))))) & 45.57/7.21 (((!!) @ (^[Y2 : a]: 45.57/7.21 (((!!) @ (^[Y3 : a]: 45.57/7.21 ((((('#sk1' @ 45.57/7.21 Y2 @ Y3) | 45.57/7.21 ('#sk2' @ 45.57/7.21 Y2 @ Y3))) => 45.57/7.21 (Y1 @ Y2 @ Y3))))))))))) => 45.57/7.21 (Y1 @ '#sk3' @ Y0)))))))))))), 45.57/7.21 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl2])). 45.57/7.21 thf(zip_derived_cl4, plain, 45.57/7.21 (~ (((((((((!!) @ (^[Y0 : a]: 45.57/7.21 (((!!) @ (^[Y1 : a]: 45.57/7.21 (((!!) @ (^[Y2 : a]: 45.57/7.21 (((((((!!) @ (^[Y3 : 45.57/7.21 a > a > $o]: 45.57/7.21 (((( 45.57/7.21 (( 45.57/7.21 (!!) @ ( 45.57/7.21 ^[Y4 : a]: 45.57/7.21 (( 45.57/7.21 (!!) @ ( 45.57/7.21 ^[Y5 : a]: 45.57/7.21 (( 45.57/7.21 (!!) @ ( 45.57/7.21 ^[Y6 : a]: 45.57/7.21 (( 45.57/7.21 (( 45.57/7.21 (Y3 @ 45.57/7.21 Y5 @ 45.57/7.21 Y6) & 45.57/7.21 (Y3 @ 45.57/7.21 Y4 @ Y5))) => 45.57/7.21 (Y3 @ 45.57/7.21 Y4 @ Y6)))))))))))) & 45.57/7.21 (( 45.57/7.21 (!!) @ ( 45.57/7.21 ^[Y4 : a]: 45.57/7.21 (( 45.57/7.21 (!!) @ ( 45.57/7.21 ^[Y5 : a]: 45.57/7.21 (( 45.57/7.21 (( 45.57/7.21 ('#sk1' @ 45.57/7.21 Y4 @ 45.57/7.21 Y5) | 45.57/7.21 ('#sk2' @ 45.57/7.21 Y4 @ Y5))) => 45.57/7.21 (Y3 @ 45.57/7.21 Y4 @ Y5))))))))))) => 45.57/7.21 (Y3 @ 45.57/7.21 Y1 @ Y2)))))) & 45.57/7.21 (((!!) @ (^[Y3 : 45.57/7.21 a > a > $o]: 45.57/7.21 (((( 45.57/7.21 (( 45.57/7.21 (!!) @ ( 45.57/7.21 ^[Y4 : a]: 45.57/7.21 (( 45.57/7.21 (!!) @ ( 45.57/7.21 ^[Y5 : a]: 45.57/7.21 (( 45.57/7.21 (( 45.57/7.21 ('#sk2' @ 45.57/7.21 Y4 @ 45.57/7.21 Y5) | 45.57/7.21 ('#sk1' @ 45.57/7.21 Y4 @ Y5))) => 45.57/7.21 (Y3 @ 45.57/7.21 Y4 @ Y5))))))))) & 45.57/7.21 (( 45.57/7.21 (!!) @ ( 45.57/7.21 ^[Y4 : a]: 45.57/7.21 (( 45.57/7.21 (!!) @ ( 45.57/7.21 ^[Y5 : a]: 45.57/7.21 (( 45.57/7.21 (!!) @ ( 45.57/7.21 ^[Y6 : a]: 45.57/7.21 (( 45.57/7.21 (( 45.57/7.21 (Y3 @ 45.57/7.21 Y5 @ 45.57/7.21 Y6) & 45.57/7.21 (Y3 @ 45.57/7.21 Y4 @ Y5))) => 45.57/7.21 (Y3 @ 45.57/7.21 Y4 @ Y6)))))))))))))) => 45.57/7.21 (Y3 @ 45.57/7.21 Y0 @ Y1)))))))) => 45.57/7.21 (((!!) @ (^[Y3 : a > a > $o]: 45.57/7.21 (((((( 45.57/7.21 (!!) @ ( 45.57/7.21 ^[Y4 : 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45.57/7.21 Y3)))))))))))))) => 45.57/7.21 (Y0 @ '#sk3' @ '#sk4')))))))) => 45.57/7.21 (((!!) @ (^[Y0 : a > a > $o]: 45.57/7.21 (((((((!!) @ (^[Y1 : a]: 45.57/7.21 (((!!) @ (^[Y2 : a]: 45.57/7.21 (((!!) @ (^[Y3 : a]: 45.57/7.21 (((((Y0 @ Y1 @ 45.57/7.21 Y2) & (Y0 @ 45.57/7.21 Y2 @ Y3))) => 45.57/7.21 (Y0 @ Y1 @ Y3)))))))))))) & 45.57/7.21 (((!!) @ (^[Y1 : a]: 45.57/7.21 (((!!) @ (^[Y2 : a]: 45.57/7.21 ((((('#sk1' @ Y1 @ Y2) | 45.57/7.21 ('#sk2' @ Y1 @ Y2))) => 45.57/7.21 (Y0 @ Y1 @ Y2))))))))))) => 45.57/7.21 (Y0 @ '#sk3' @ '#sk4'))))))))), 45.57/7.21 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl3])). 45.57/7.21 thf(zip_derived_cl5, plain, 45.57/7.21 ( (((((((!!) @ (^[Y0 : a]: 45.57/7.21 (((!!) @ (^[Y1 : a]: 45.57/7.21 (((!!) @ (^[Y2 : a]: 45.57/7.21 (((((((!!) @ (^[Y3 : a > a > $o]: 45.57/7.21 (((((((!!) @ ( 45.57/7.21 ^[Y4 : a]: 45.57/7.21 (( 45.57/7.21 (!!) @ ( 45.57/7.21 ^[Y5 : a]: 45.57/7.21 (( 45.57/7.21 (!!) @ ( 45.57/7.21 ^[Y6 : a]: 45.57/7.21 (( 45.57/7.21 (( 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(((((((!!) @ (^[Y3 : a]: 45.57/7.21 (((!!) @ ( 45.57/7.21 ^[Y4 : a]: 45.57/7.21 (( 45.57/7.21 ('#sk1' @ 45.57/7.21 Y3 @ 45.57/7.21 Y4) => 45.57/7.21 (Y2 @ 45.57/7.21 Y3 @ Y4))))))))) & 45.57/7.21 (((!!) @ (^[Y3 : a]: 45.57/7.21 (((!!) @ ( 45.57/7.21 ^[Y4 : a]: 45.57/7.21 (( 45.57/7.21 (!!) @ ( 45.57/7.21 ^[Y5 : a]: 45.57/7.21 (( 45.57/7.21 (( 45.57/7.21 (Y2 @ 45.57/7.21 Y4 @ 45.57/7.21 Y5) & 45.57/7.21 (Y2 @ 45.57/7.21 Y3 @ Y4))) => 45.57/7.21 (Y2 @ 45.57/7.21 Y3 @ Y5)))))))))))))) => 45.57/7.21 (Y2 @ Y0 @ Y1)))))) | 45.57/7.21 (((!!) @ (^[Y2 : a > a > $o]: 45.57/7.21 (((((((!!) @ (^[Y3 : a]: 45.57/7.21 (((!!) @ ( 45.57/7.21 ^[Y4 : a]: 45.57/7.21 (( 45.57/7.21 ('#sk2' @ 45.57/7.21 Y3 @ 45.57/7.21 Y4) => 45.57/7.21 (Y2 @ 45.57/7.21 Y3 @ Y4))))))))) & 45.57/7.21 (((!!) @ (^[Y3 : a]: 45.57/7.21 (((!!) @ ( 45.57/7.21 ^[Y4 : a]: 45.57/7.21 (( 45.57/7.21 (!!) @ ( 45.57/7.21 ^[Y5 : a]: 45.57/7.21 (( 45.57/7.21 (( 45.57/7.21 (Y2 @ 45.57/7.21 Y3 @ 45.57/7.21 Y4) & 45.57/7.21 (Y2 @ 45.57/7.21 Y4 @ Y5))) => 45.57/7.21 (Y2 @ 45.57/7.21 Y3 @ Y5)))))))))))))) => 45.57/7.21 (Y2 @ Y0 @ Y1)))))))) => 45.57/7.21 (((!!) @ (^[Y2 : a > a > $o]: 45.57/7.21 (((((((!!) @ (^[Y3 : a]: 45.57/7.21 (((!!) @ ( 45.57/7.21 ^[Y4 : a]: 45.57/7.21 ( 45.57/7.21 ( 45.57/7.21 (!!) @ ( 45.57/7.21 ^[Y5 : a]: 45.57/7.21 (( 45.57/7.21 (( 45.57/7.21 (Y2 @ 45.57/7.21 Y4 @ 45.57/7.21 Y5) & 45.57/7.21 (Y2 @ 45.57/7.21 Y3 @ Y4))) => 45.57/7.21 (Y2 @ 45.57/7.21 Y3 @ Y5)))))))))))) & 45.57/7.21 (((!!) @ (^[Y3 : a]: 45.57/7.21 (((!!) @ ( 45.57/7.21 ^[Y4 : a]: 45.57/7.21 ( 45.57/7.21 ( 45.57/7.21 (( 45.57/7.21 ('#sk2' @ 45.57/7.21 Y3 @ 45.57/7.21 Y4) | 45.57/7.21 ('#sk1' @ 45.57/7.21 Y3 @ Y4))) => 45.57/7.21 (Y2 @ 45.57/7.21 Y3 @ Y4))))))))))) => 45.57/7.21 (Y2 @ Y0 @ Y1)))))))))))))))) => 45.57/7.21 (((!!) @ (^[Y0 : a > a > $o]: 45.57/7.21 (((((((!!) @ (^[Y1 : a]: 45.57/7.21 (((!!) @ (^[Y2 : a]: 45.57/7.21 ((((('#sk1' @ Y1 @ Y2) | 45.57/7.21 ('#sk2' @ Y1 @ Y2))) => 45.57/7.21 (Y0 @ Y1 @ Y2))))))))) & 45.57/7.21 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45.57/7.21 ^[Y4 : a]: 45.57/7.21 (( 45.57/7.21 ('#sk2' @ 45.57/7.21 Y3 @ 45.57/7.21 Y4) => 45.57/7.21 (Y2 @ 45.57/7.21 Y3 @ Y4))))))))) & 45.57/7.21 (((!!) @ (^[Y3 : a]: 45.57/7.21 (((!!) @ ( 45.57/7.21 ^[Y4 : a]: 45.57/7.21 (( 45.57/7.21 (!!) @ ( 45.57/7.21 ^[Y5 : a]: 45.57/7.21 (( 45.57/7.21 (( 45.57/7.21 (Y2 @ 45.57/7.21 Y3 @ 45.57/7.21 Y4) & 45.57/7.21 (Y2 @ 45.57/7.21 Y4 @ Y5))) => 45.57/7.21 (Y2 @ 45.57/7.21 Y3 @ Y5)))))))))))))) => 45.57/7.21 (Y2 @ Y0 @ Y1)))))))) => 45.57/7.21 (((!!) @ (^[Y2 : a > a > $o]: 45.57/7.21 (((((((!!) @ (^[Y3 : a]: 45.57/7.21 (((!!) @ ( 45.57/7.21 ^[Y4 : a]: 45.57/7.21 ( 45.57/7.21 ( 45.57/7.21 (!!) @ ( 45.57/7.21 ^[Y5 : a]: 45.57/7.21 (( 45.57/7.21 (( 45.57/7.21 (Y2 @ 45.57/7.21 Y4 @ 45.57/7.21 Y5) & 45.57/7.21 (Y2 @ 45.57/7.21 Y3 @ Y4))) => 45.57/7.21 (Y2 @ 45.57/7.21 Y3 @ Y5)))))))))))) & 45.57/7.21 (((!!) @ (^[Y3 : a]: 45.57/7.21 (((!!) @ ( 45.57/7.21 ^[Y4 : a]: 45.57/7.21 ( 45.57/7.21 ( 45.57/7.21 (( 45.57/7.21 ('#sk2' @ 45.57/7.21 Y3 @ 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45.57/7.21 (Y1 @ '#sk6' @ Y0))))))))))) 45.57/7.21 | ~ (((!!) @ (^[Y0 : a]: 45.57/7.21 (((!!) @ (^[Y1 : a]: 45.57/7.21 (((((((!!) @ (^[Y2 : a > a > $o]: 45.57/7.21 (((((((!!) @ (^[Y3 : a]: 45.57/7.21 (((!!) @ ( 45.57/7.21 ^[Y4 : a]: 45.57/7.21 (( 45.57/7.21 ('#sk1' @ 45.57/7.21 Y3 @ 45.57/7.21 Y4) => 45.57/7.21 (Y2 @ 45.57/7.21 Y3 @ Y4))))))))) & 45.57/7.21 (((!!) @ (^[Y3 : a]: 45.57/7.21 (((!!) @ ( 45.57/7.21 ^[Y4 : a]: 45.57/7.21 (( 45.57/7.21 (!!) @ ( 45.57/7.21 ^[Y5 : a]: 45.57/7.21 (( 45.57/7.21 (( 45.57/7.21 (Y2 @ 45.57/7.21 Y4 @ 45.57/7.21 Y5) & 45.57/7.21 (Y2 @ 45.57/7.21 Y3 @ Y4))) => 45.57/7.21 (Y2 @ 45.57/7.21 Y3 @ Y5)))))))))))))) => 45.57/7.21 (Y2 @ Y0 @ Y1)))))) | 45.57/7.21 (((!!) @ (^[Y2 : a > a > $o]: 45.57/7.21 (((((((!!) @ (^[Y3 : a]: 45.57/7.21 (((!!) @ ( 45.57/7.21 ^[Y4 : a]: 45.57/7.21 (( 45.57/7.21 ('#sk2' @ 45.57/7.21 Y3 @ 45.57/7.21 Y4) => 45.57/7.21 (Y2 @ 45.57/7.21 Y3 @ Y4))))))))) & 45.57/7.21 (((!!) @ (^[Y3 : a]: 45.57/7.21 (((!!) @ ( 45.57/7.21 ^[Y4 : a]: 45.57/7.21 (( 45.57/7.21 (!!) @ ( 45.57/7.21 ^[Y5 : a]: 45.57/7.21 (( 45.57/7.21 (( 45.57/7.21 (Y2 @ 45.57/7.21 Y3 @ 45.57/7.21 Y4) & 45.57/7.21 (Y2 @ 45.57/7.21 Y4 @ Y5))) => 45.57/7.21 (Y2 @ 45.57/7.21 Y3 @ Y5)))))))))))))) => 45.57/7.21 (Y2 @ Y0 @ Y1)))))))) => 45.57/7.21 (((!!) @ (^[Y2 : a > a > $o]: 45.57/7.21 (((((((!!) @ (^[Y3 : a]: 45.57/7.21 (((!!) @ ( 45.57/7.21 ^[Y4 : a]: 45.57/7.21 ( 45.57/7.21 ( 45.57/7.21 (!!) @ ( 45.57/7.21 ^[Y5 : a]: 45.57/7.21 (( 45.57/7.21 (( 45.57/7.21 (Y2 @ 45.57/7.21 Y4 @ 45.57/7.21 Y5) & 45.57/7.21 (Y2 @ 45.57/7.21 Y3 @ Y4))) => 45.57/7.21 (Y2 @ 45.57/7.21 Y3 @ Y5)))))))))))) & 45.57/7.21 (((!!) @ (^[Y3 : a]: 45.57/7.21 (((!!) @ ( 45.57/7.21 ^[Y4 : a]: 45.57/7.21 ( 45.57/7.21 ( 45.57/7.21 (( 45.57/7.21 ('#sk2' @ 45.57/7.21 Y3 @ 45.57/7.21 Y4) | 45.57/7.21 ('#sk1' @ 45.57/7.21 Y3 @ Y4))) => 45.57/7.21 (Y2 @ 45.57/7.21 Y3 @ Y4))))))))))) => 45.57/7.21 (Y2 @ Y0 @ Y1)))))))))))))) 45.57/7.21 | (((!!) @ (^[Y0 : a > a > $o]: 45.57/7.21 (((((((!!) @ 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45.57/7.21 (Y0 @ '#sk7' @ '#sk8')))))) & 45.57/7.21 (((!!) @ (^[Y0 : a > a > $o]: 45.57/7.21 (((((((!!) @ (^[Y1 : a]: 45.57/7.21 (((!!) @ (^[Y2 : a]: 45.57/7.21 ((((('#sk2' @ Y1 @ Y2) | 45.57/7.21 ('#sk1' @ Y1 @ Y2))) => 45.57/7.21 (Y0 @ Y1 @ Y2))))))))) & 45.57/7.21 (((!!) @ (^[Y1 : a]: 45.57/7.21 (((!!) @ (^[Y2 : a]: 45.57/7.21 (((!!) @ (^[Y3 : a]: 45.57/7.21 (((((Y0 @ 45.57/7.21 Y2 @ 45.57/7.21 Y3) & 45.57/7.21 (Y0 @ 45.57/7.21 Y1 @ Y2))) => 45.57/7.21 (Y0 @ Y1 @ 45.57/7.21 Y3)))))))))))))) => 45.57/7.21 (Y0 @ '#sk6' @ '#sk7')))))))) => 45.57/7.21 (((!!) @ (^[Y0 : a > a > $o]: 45.57/7.21 (((((((!!) @ (^[Y1 : a]: 45.57/7.21 (((!!) @ (^[Y2 : a]: 45.57/7.21 ((((('#sk1' @ Y1 @ Y2) | 45.57/7.21 ('#sk2' @ Y1 @ Y2))) => 45.57/7.21 (Y0 @ Y1 @ Y2))))))))) & 45.57/7.21 (((!!) @ (^[Y1 : a]: 45.57/7.21 (((!!) @ (^[Y2 : a]: 45.57/7.21 (((!!) @ (^[Y3 : a]: 45.57/7.21 (((((Y0 @ Y1 @ 45.57/7.21 Y2) & 45.57/7.21 (Y0 @ Y2 @ 45.57/7.21 Y3))) => 45.57/7.21 (Y0 @ Y1 @ 45.57/7.21 Y3)))))))))))))) => 45.57/7.21 (Y0 @ '#sk6' @ '#sk8')))))))) 45.57/7.21 | (((!!) @ (^[Y0 : a > a > $o]: 45.57/7.21 (((((((!!) @ (^[Y1 : a]: 45.57/7.21 (((!!) @ (^[Y2 : a]: 45.57/7.21 ((((('#sk1' @ Y1 @ Y2) | 45.57/7.21 ('#sk2' @ Y1 @ Y2))) => 45.57/7.21 (Y0 @ Y1 @ Y2))))))))) & 45.57/7.21 (((!!) @ (^[Y1 : a]: 45.57/7.21 (((!!) @ (^[Y2 : a]: 45.57/7.21 (((!!) @ (^[Y3 : a]: 45.57/7.21 (((((Y0 @ Y1 @ 45.57/7.21 Y2) & (Y0 @ 45.57/7.21 Y2 @ Y3))) => 45.57/7.21 (Y0 @ Y1 @ Y3)))))))))))))) => 45.57/7.21 (Y0 @ '#sk3' @ '#sk4')))))) 45.57/7.21 | ~ (((!!) @ (^[Y0 : a]: 45.57/7.21 (((!!) @ (^[Y1 : a]: 45.57/7.21 (((((((!!) @ (^[Y2 : a > a > $o]: 45.57/7.21 (((((((!!) @ (^[Y3 : a]: 45.57/7.21 (((!!) @ ( 45.57/7.21 ^[Y4 : a]: 45.57/7.21 (( 45.57/7.21 ('#sk1' @ 45.57/7.21 Y3 @ 45.57/7.21 Y4) => 45.57/7.21 (Y2 @ 45.57/7.21 Y3 @ Y4))))))))) & 45.57/7.21 (((!!) @ (^[Y3 : a]: 45.57/7.21 (((!!) @ ( 45.57/7.21 ^[Y4 : a]: 45.57/7.21 (( 45.57/7.21 (!!) @ ( 45.57/7.21 ^[Y5 : a]: 45.57/7.21 (( 45.57/7.21 (( 45.57/7.21 (Y2 @ 45.57/7.21 Y4 @ 45.57/7.21 Y5) & 45.57/7.21 (Y2 @ 45.57/7.21 Y3 @ Y4))) => 45.57/7.21 (Y2 @ 45.57/7.21 Y3 @ Y5)))))))))))))) => 45.57/7.21 (Y2 @ Y0 @ Y1)))))) | 45.57/7.21 (((!!) @ (^[Y2 : a > a > $o]: 45.57/7.21 (((((((!!) @ (^[Y3 : a]: 45.57/7.21 (((!!) @ ( 45.57/7.21 ^[Y4 : a]: 45.57/7.21 (( 45.57/7.21 ('#sk2' @ 45.57/7.21 Y3 @ 45.57/7.21 Y4) => 45.57/7.21 (Y2 @ 45.57/7.21 Y3 @ Y4))))))))) & 45.57/7.21 (((!!) @ (^[Y3 : a]: 45.57/7.21 (((!!) @ ( 45.57/7.21 ^[Y4 : a]: 45.57/7.21 (( 45.57/7.21 (!!) @ ( 45.57/7.21 ^[Y5 : a]: 45.57/7.21 (( 45.57/7.21 (( 45.57/7.21 (Y2 @ 45.57/7.21 Y3 @ 45.57/7.21 Y4) & 45.57/7.21 (Y2 @ 45.57/7.21 Y4 @ Y5))) => 45.57/7.21 (Y2 @ 45.57/7.21 Y3 @ Y5)))))))))))))) => 45.57/7.21 (Y2 @ Y0 @ Y1)))))))) => 45.57/7.21 (((!!) @ (^[Y2 : a > a > $o]: 45.57/7.21 (((((((!!) @ (^[Y3 : a]: 45.57/7.21 (((!!) @ ( 45.57/7.21 ^[Y4 : a]: 45.57/7.21 ( 45.57/7.21 ( 45.57/7.21 (!!) @ ( 45.57/7.21 ^[Y5 : a]: 45.57/7.21 (( 45.57/7.21 (( 45.57/7.21 (Y2 @ 45.57/7.21 Y4 @ 45.57/7.21 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45.57/7.21 | ~ (((!!) @ (^[Y0 : a]: 45.57/7.21 (((!!) @ (^[Y1 : a]: 45.57/7.21 (((((((!!) @ (^[Y2 : a > a > $o]: 45.57/7.21 (((((((!!) @ (^[Y3 : a]: 45.57/7.21 (((!!) @ ( 45.57/7.21 ^[Y4 : a]: 45.57/7.21 (( 45.57/7.21 ('#sk1' @ 45.57/7.21 Y3 @ 45.57/7.21 Y4) => 45.57/7.21 (Y2 @ 45.57/7.21 Y3 @ Y4))))))))) & 45.57/7.21 (((!!) @ (^[Y3 : a]: 45.57/7.21 (((!!) @ ( 45.57/7.21 ^[Y4 : a]: 45.57/7.21 (( 45.57/7.21 (!!) @ ( 45.57/7.21 ^[Y5 : a]: 45.57/7.21 (( 45.57/7.21 (( 45.57/7.21 (Y2 @ 45.57/7.21 Y4 @ 45.57/7.21 Y5) & 45.57/7.21 (Y2 @ 45.57/7.21 Y3 @ Y4))) => 45.57/7.21 (Y2 @ 45.57/7.21 Y3 @ Y5)))))))))))))) => 45.57/7.21 (Y2 @ Y0 @ Y1)))))) | 45.57/7.21 (((!!) @ (^[Y2 : a > a > $o]: 45.57/7.21 (((((((!!) @ (^[Y3 : a]: 45.57/7.21 (((!!) @ ( 45.57/7.21 ^[Y4 : a]: 45.57/7.21 (( 45.57/7.21 ('#sk2' @ 45.57/7.21 Y3 @ 45.57/7.21 Y4) => 45.57/7.21 (Y2 @ 45.57/7.21 Y3 @ Y4))))))))) & 45.57/7.21 (((!!) @ (^[Y3 : a]: 45.57/7.21 (((!!) @ ( 45.57/7.21 ^[Y4 : a]: 45.57/7.21 (( 45.57/7.21 (!!) @ ( 45.57/7.21 ^[Y5 : a]: 45.57/7.21 (( 45.57/7.21 (( 45.57/7.21 (Y2 @ 45.57/7.21 Y3 @ 45.57/7.21 Y4) & 45.57/7.21 (Y2 @ 45.57/7.21 Y4 @ Y5))) => 45.57/7.21 (Y2 @ 45.57/7.21 Y3 @ Y5)))))))))))))) => 45.57/7.21 (Y2 @ Y0 @ Y1)))))))) => 45.57/7.21 (((!!) @ (^[Y2 : a > a > $o]: 45.57/7.21 (((((((!!) @ (^[Y3 : a]: 45.57/7.21 (((!!) @ ( 45.57/7.21 ^[Y4 : a]: 45.57/7.21 ( 45.57/7.21 ( 45.57/7.21 (!!) @ ( 45.57/7.21 ^[Y5 : a]: 45.57/7.21 (( 45.57/7.21 (( 45.57/7.21 (Y2 @ 45.57/7.21 Y4 @ 45.57/7.21 Y5) & 45.57/7.21 (Y2 @ 45.57/7.21 Y3 @ Y4))) => 45.57/7.21 (Y2 @ 45.57/7.21 Y3 @ Y5)))))))))))) & 45.57/7.21 (((!!) @ (^[Y3 : a]: 45.57/7.21 (((!!) @ ( 45.57/7.21 ^[Y4 : a]: 45.57/7.21 ( 45.57/7.21 ( 45.57/7.21 (( 45.57/7.21 ('#sk2' @ 45.57/7.21 Y3 @ 45.57/7.21 Y4) | 45.57/7.21 ('#sk1' @ 45.57/7.21 Y3 @ Y4))) => 45.57/7.21 (Y2 @ 45.57/7.21 Y3 @ Y4))))))))))) => 45.57/7.21 (Y2 @ Y0 @ Y1)))))))))))))) 45.57/7.21 | (((!!) @ (^[Y0 : a > a > $o]: 45.57/7.21 (((((((!!) @ (^[Y1 : a]: 45.57/7.21 (((!!) @ (^[Y2 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45.57/7.21 Y4 @ 45.57/7.21 Y5) & 45.57/7.21 (Y2 @ 45.57/7.21 Y3 @ Y4))) => 45.57/7.21 (Y2 @ 45.57/7.21 Y3 @ Y5)))))))))))))) => 45.57/7.21 (Y2 @ Y0 @ Y1)))))) | 45.57/7.21 (((!!) @ (^[Y2 : a > a > $o]: 45.57/7.21 (((((((!!) @ (^[Y3 : a]: 45.57/7.21 (((!!) @ ( 45.57/7.21 ^[Y4 : a]: 45.57/7.21 (( 45.57/7.21 ('#sk2' @ 45.57/7.21 Y3 @ 45.57/7.21 Y4) => 45.57/7.21 (Y2 @ 45.57/7.21 Y3 @ Y4))))))))) & 45.57/7.21 (((!!) @ (^[Y3 : a]: 45.57/7.21 (((!!) @ ( 45.57/7.21 ^[Y4 : a]: 45.57/7.21 (( 45.57/7.21 (!!) @ ( 45.57/7.21 ^[Y5 : a]: 45.57/7.21 (( 45.57/7.21 (( 45.57/7.21 (Y2 @ 45.57/7.21 Y3 @ 45.57/7.21 Y4) & 45.57/7.21 (Y2 @ 45.57/7.21 Y4 @ Y5))) => 45.57/7.21 (Y2 @ 45.57/7.21 Y3 @ Y5)))))))))))))) => 45.57/7.21 (Y2 @ Y0 @ Y1)))))))) => 45.57/7.21 (((!!) @ (^[Y2 : a > a > $o]: 45.57/7.21 (((((((!!) @ (^[Y3 : a]: 45.57/7.21 (((!!) @ ( 45.57/7.21 ^[Y4 : a]: 45.57/7.21 ( 45.57/7.21 ( 45.57/7.21 (!!) @ ( 45.57/7.21 ^[Y5 : a]: 45.57/7.21 (( 45.57/7.21 (( 45.57/7.21 (Y2 @ 45.57/7.21 Y4 @ 45.57/7.21 Y5) & 45.57/7.21 (Y2 @ 45.57/7.21 Y3 @ Y4))) => 45.57/7.21 (Y2 @ 45.57/7.21 Y3 @ Y5)))))))))))) & 45.57/7.21 (((!!) @ (^[Y3 : a]: 45.57/7.21 (((!!) @ ( 45.57/7.21 ^[Y4 : a]: 45.57/7.21 ( 45.57/7.21 ( 45.57/7.21 (( 45.57/7.21 ('#sk2' @ 45.57/7.21 Y3 @ 45.57/7.21 Y4) | 45.57/7.21 ('#sk1' @ 45.57/7.21 Y3 @ Y4))) => 45.57/7.21 (Y2 @ 45.57/7.21 Y3 @ Y4))))))))))) => 45.57/7.21 (Y2 @ Y0 @ Y1)))))))))))))))), 45.57/7.21 define([status(thm)])). 45.57/7.21 thf(zip_derived_cl28, plain, 45.57/7.21 ((~ (((!!) @ (^[Y0 : a]: 45.57/7.21 (((((((!!) @ (^[Y1 : a > a > $o]: 45.57/7.21 (((((((!!) @ (^[Y2 : a]: 45.57/7.21 (((!!) @ (^[Y3 : a]: 45.57/7.21 ((('#sk1' @ 45.57/7.21 Y2 @ Y3) => 45.57/7.21 (Y1 @ Y2 @ 45.57/7.21 Y3))))))))) & 45.57/7.21 (((!!) @ (^[Y2 : a]: 45.57/7.21 (((!!) @ (^[Y3 : a]: 45.57/7.21 (((!!) @ ( 45.57/7.21 ^[Y4 : a]: 45.57/7.21 ( 45.57/7.21 ( 45.57/7.21 (( 45.57/7.21 (Y1 @ 45.57/7.21 Y3 @ 45.57/7.21 Y4) & 45.57/7.21 (Y1 @ 45.57/7.21 Y2 @ Y3))) => 45.57/7.21 (Y1 @ 45.57/7.21 Y2 @ Y4)))))))))))))) => 45.57/7.21 (Y1 @ '#sk10' @ Y0)))))) | 45.57/7.21 (((!!) @ (^[Y1 : a > a > $o]: 45.57/7.21 (((((((!!) @ (^[Y2 : a]: 45.57/7.21 (((!!) @ (^[Y3 : a]: 45.57/7.21 ((('#sk2' @ 45.57/7.21 Y2 @ Y3) => 45.57/7.21 (Y1 @ Y2 @ 45.57/7.21 Y3))))))))) & 45.57/7.21 (((!!) @ (^[Y2 : a]: 45.57/7.21 (((!!) @ (^[Y3 : a]: 45.57/7.21 (((!!) @ ( 45.57/7.21 ^[Y4 : a]: 45.57/7.21 ( 45.57/7.21 ( 45.57/7.21 (( 45.57/7.21 (Y1 @ 45.57/7.21 Y2 @ 45.57/7.21 Y3) & 45.57/7.21 (Y1 @ 45.57/7.21 Y3 @ Y4))) => 45.57/7.21 (Y1 @ 45.57/7.21 Y2 @ Y4)))))))))))))) => 45.57/7.21 (Y1 @ '#sk10' @ Y0)))))))) => 45.57/7.21 (((!!) @ (^[Y1 : a > a > $o]: 45.57/7.21 (((((((!!) @ (^[Y2 : a]: 45.57/7.21 (((!!) @ (^[Y3 : a]: 45.57/7.21 (((!!) @ ( 45.57/7.21 ^[Y4 : a]: 45.57/7.21 (((( 45.57/7.21 (Y1 @ 45.57/7.21 Y3 @ 45.57/7.21 Y4) & 45.57/7.21 (Y1 @ 45.57/7.21 Y2 @ Y3))) => 45.57/7.21 (Y1 @ 45.57/7.21 Y2 @ Y4)))))))))))) & 45.57/7.21 (((!!) @ (^[Y2 : a]: 45.57/7.21 (((!!) @ (^[Y3 : a]: 45.57/7.21 ((((('#sk2' @ 45.57/7.21 Y2 @ Y3) | 45.57/7.21 ('#sk1' @ 45.57/7.21 Y2 @ Y3))) => 45.57/7.21 (Y1 @ Y2 @ 45.57/7.21 Y3))))))))))) => 45.57/7.21 (Y1 @ '#sk10' @ Y0))))))))))) 45.57/7.21 | ('#form9'))), 45.57/7.21 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl27])). 45.57/7.21 thf(zip_derived_cl41, plain, 45.57/7.21 ((~ (((((((!!) @ (^[Y0 : a > a > $o]: 45.57/7.21 (((((((!!) @ (^[Y1 : a]: 45.57/7.21 (((!!) @ (^[Y2 : a]: 45.57/7.21 ((('#sk1' @ Y1 @ Y2) => 45.57/7.21 (Y0 @ Y1 @ Y2))))))))) & 45.57/7.21 (((!!) @ (^[Y1 : a]: 45.57/7.21 (((!!) @ (^[Y2 : a]: 45.57/7.21 (((!!) @ (^[Y3 : a]: 45.57/7.21 (((((Y0 @ 45.57/7.21 Y2 @ 45.57/7.21 Y3) & 45.57/7.21 (Y0 @ 45.57/7.21 Y1 @ Y2))) => 45.57/7.21 (Y0 @ Y1 @ 45.57/7.21 Y3)))))))))))))) => 45.57/7.21 (Y0 @ '#sk10' @ '#sk12')))))) | 45.57/7.21 (((!!) @ (^[Y0 : a > a > $o]: 45.57/7.21 (((((((!!) @ (^[Y1 : a]: 45.57/7.21 (((!!) @ (^[Y2 : a]: 45.57/7.21 ((('#sk2' @ Y1 @ Y2) => 45.57/7.21 (Y0 @ Y1 @ Y2))))))))) & 45.57/7.21 (((!!) @ (^[Y1 : a]: 45.57/7.21 (((!!) @ (^[Y2 : a]: 45.57/7.21 (((!!) @ (^[Y3 : a]: 45.57/7.21 (((((Y0 @ 45.57/7.21 Y1 @ 45.57/7.21 Y2) & 45.57/7.21 (Y0 @ 45.57/7.21 Y2 @ Y3))) => 45.57/7.21 (Y0 @ Y1 @ 45.57/7.21 Y3)))))))))))))) => 45.57/7.21 (Y0 @ '#sk10' @ '#sk12')))))))) => 45.57/7.21 (((!!) @ (^[Y0 : a > a > $o]: 45.57/7.21 (((((((!!) @ (^[Y1 : a]: 45.57/7.21 (((!!) @ (^[Y2 : a]: 45.57/7.21 (((!!) @ (^[Y3 : a]: 45.57/7.21 (((((Y0 @ Y2 @ 45.57/7.21 Y3) & 45.57/7.21 (Y0 @ Y1 @ 45.57/7.21 Y2))) => 45.57/7.21 (Y0 @ Y1 @ 45.57/7.21 Y3)))))))))))) & 45.57/7.21 (((!!) @ (^[Y1 : a]: 45.57/7.21 (((!!) @ (^[Y2 : a]: 45.57/7.21 ((((('#sk2' @ Y1 @ Y2) | 45.57/7.21 ('#sk1' @ Y1 @ Y2))) => 45.57/7.21 (Y0 @ Y1 @ Y2))))))))))) => 45.57/7.21 (Y0 @ '#sk10' @ '#sk12')))))))) 45.57/7.21 | ('#form9'))), 45.57/7.21 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl28])). 45.57/7.21 thf(zip_derived_cl48, plain, 45.57/7.21 (( (((((!!) @ (^[Y0 : a > a > $o]: 45.57/7.21 (((((((!!) @ (^[Y1 : a]: 45.57/7.21 (((!!) @ (^[Y2 : a]: 45.57/7.21 ((('#sk1' @ Y1 @ Y2) => 45.57/7.21 (Y0 @ Y1 @ Y2))))))))) & 45.57/7.21 (((!!) @ (^[Y1 : a]: 45.57/7.21 (((!!) @ (^[Y2 : a]: 45.57/7.21 (((!!) @ (^[Y3 : a]: 45.57/7.21 (((((Y0 @ Y2 @ 45.57/7.21 Y3) & (Y0 @ 45.57/7.21 Y1 @ Y2))) => 45.57/7.21 (Y0 @ Y1 @ Y3)))))))))))))) => 45.57/7.21 (Y0 @ '#sk10' @ '#sk12')))))) | 45.57/7.21 (((!!) @ (^[Y0 : a > a > $o]: 45.57/7.21 (((((((!!) @ (^[Y1 : a]: 45.57/7.21 (((!!) @ (^[Y2 : a]: 45.57/7.21 ((('#sk2' @ Y1 @ Y2) => 45.57/7.21 (Y0 @ Y1 @ Y2))))))))) & 45.57/7.21 (((!!) @ (^[Y1 : a]: 45.57/7.21 (((!!) @ (^[Y2 : a]: 45.57/7.21 (((!!) @ (^[Y3 : a]: 45.57/7.21 (((((Y0 @ Y1 @ 45.57/7.21 Y2) & (Y0 @ 45.57/7.21 Y2 @ Y3))) => 45.57/7.21 (Y0 @ Y1 @ Y3)))))))))))))) => 45.57/7.21 (Y0 @ '#sk10' @ '#sk12')))))))) 45.57/7.21 | ('#form9'))), 45.57/7.21 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl41])). 45.57/7.21 thf(zip_derived_cl63, plain, 45.57/7.21 (( (((!!) @ (^[Y0 : a > a > $o]: 45.57/7.21 (((((((!!) @ (^[Y1 : a]: 45.57/7.21 (((!!) @ (^[Y2 : a]: 45.57/7.21 ((('#sk1' @ Y1 @ Y2) => (Y0 @ 45.57/7.21 Y1 @ Y2))))))))) & 45.57/7.21 (((!!) @ (^[Y1 : a]: 45.57/7.21 (((!!) @ (^[Y2 : a]: 45.57/7.21 (((!!) @ (^[Y3 : a]: 45.57/7.21 (((((Y0 @ Y2 @ 45.57/7.21 Y3) & (Y0 @ 45.57/7.21 Y1 @ Y2))) => 45.57/7.21 (Y0 @ Y1 @ Y3)))))))))))))) => 45.57/7.21 (Y0 @ '#sk10' @ '#sk12')))))) 45.57/7.21 | (((!!) @ (^[Y0 : a > a > $o]: 45.57/7.21 (((((((!!) @ (^[Y1 : a]: 45.57/7.21 (((!!) @ (^[Y2 : a]: 45.57/7.21 ((('#sk2' @ Y1 @ Y2) => 45.57/7.21 (Y0 @ Y1 @ Y2))))))))) & 45.57/7.21 (((!!) @ (^[Y1 : a]: 45.57/7.21 (((!!) @ (^[Y2 : a]: 45.57/7.21 (((!!) @ (^[Y3 : a]: 45.57/7.21 (((((Y0 @ Y1 @ 45.57/7.21 Y2) & (Y0 @ 45.57/7.21 Y2 @ Y3))) => 45.57/7.21 (Y0 @ Y1 @ Y3)))))))))))))) => 45.57/7.21 (Y0 @ '#sk10' @ '#sk12')))))) 45.57/7.21 | ('#form9'))), 45.57/7.21 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl48])). 45.57/7.21 thf(zip_derived_cl73, plain, 45.57/7.21 (![X2 : a > a > $o]: 45.57/7.21 ( (((((((!!) @ (^[Y0 : a]: 45.57/7.21 (((!!) @ (^[Y1 : a]: 45.57/7.21 ((('#sk1' @ Y0 @ Y1) => (X2 @ Y0 @ Y1))))))))) & 45.57/7.21 (((!!) @ (^[Y0 : a]: 45.57/7.21 (((!!) @ (^[Y1 : a]: 45.57/7.21 (((!!) @ (^[Y2 : a]: 45.57/7.21 (((((X2 @ Y1 @ Y2) & (X2 @ 45.57/7.21 Y0 @ Y1))) => 45.57/7.21 (X2 @ Y0 @ Y2)))))))))))))) => 45.57/7.21 (X2 @ '#sk10' @ '#sk12'))) 45.57/7.21 | ('#form9') 45.57/7.21 | (((!!) @ (^[Y0 : a > a > $o]: 45.57/7.21 (((((((!!) @ (^[Y1 : a]: 45.57/7.21 (((!!) @ (^[Y2 : a]: 45.57/7.21 ((('#sk2' @ Y1 @ Y2) => 45.57/7.21 (Y0 @ Y1 @ Y2))))))))) & 45.57/7.21 (((!!) @ (^[Y1 : a]: 45.57/7.21 (((!!) @ (^[Y2 : a]: 45.57/7.21 (((!!) @ (^[Y3 : a]: 45.57/7.21 (((((Y0 @ 45.57/7.21 Y1 @ Y2) & 45.57/7.21 (Y0 @ 45.57/7.21 Y2 @ Y3))) => 45.57/7.21 (Y0 @ Y1 @ 45.57/7.21 Y3)))))))))))))) => 45.57/7.21 (Y0 @ '#sk10' @ '#sk12')))))))), 45.57/7.21 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl63])). 45.57/7.21 thf(zip_derived_cl86, plain, 45.57/7.21 ((~ ('#form94') 45.57/7.21 | (((!!) @ (^[Y0 : a > a > $o]: 45.57/7.21 (((((((!!) @ (^[Y1 : a]: 45.57/7.21 (((!!) @ (^[Y2 : a]: 45.57/7.21 ((('#sk2' @ Y1 @ Y2) => 45.57/7.21 (Y0 @ Y1 @ Y2))))))))) & 45.57/7.21 (((!!) @ (^[Y1 : a]: 45.57/7.21 (((!!) @ (^[Y2 : a]: 45.57/7.21 (((!!) @ (^[Y3 : a]: 45.57/7.21 (((((Y0 @ Y1 @ 45.57/7.21 Y2) & (Y0 @ 45.57/7.21 Y2 @ Y3))) => 45.57/7.21 (Y0 @ Y1 @ Y3)))))))))))))) => 45.57/7.21 (Y0 @ '#sk10' @ '#sk12')))))))), 45.57/7.21 define([status(thm)])). 45.57/7.21 thf(zip_derived_cl87, plain, 45.57/7.21 (![X2 : a > a > $o]: 45.57/7.21 ( (((((((!!) @ (^[Y0 : a]: 45.57/7.21 (((!!) @ (^[Y1 : a]: 45.57/7.21 ((('#sk2' @ Y0 @ Y1) => (X2 @ Y0 @ Y1))))))))) & 45.57/7.21 (((!!) @ (^[Y0 : a]: 45.57/7.21 (((!!) @ (^[Y1 : a]: 45.57/7.21 (((!!) @ (^[Y2 : a]: 45.57/7.21 (((((X2 @ Y0 @ Y1) & (X2 @ 45.57/7.21 Y1 @ Y2))) => 45.57/7.21 (X2 @ Y0 @ Y2)))))))))))))) => 45.57/7.21 (X2 @ '#sk10' @ '#sk12'))) 45.57/7.21 | ~ ('#form94'))), 45.57/7.21 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl86])). 45.57/7.21 thf(zip_derived_cl103, plain, 45.57/7.21 (![X2 : a > a > $o]: 45.57/7.21 (~ (((((!!) @ (^[Y0 : a]: 45.57/7.21 (((!!) @ (^[Y1 : a]: 45.57/7.21 ((('#sk2' @ Y0 @ Y1) => (X2 @ Y0 @ Y1))))))))) & 45.57/7.21 (((!!) @ (^[Y0 : a]: 45.57/7.21 (((!!) @ (^[Y1 : a]: 45.57/7.21 (((!!) @ (^[Y2 : a]: 45.57/7.21 (((((X2 @ Y0 @ Y1) & (X2 @ 45.57/7.21 Y1 @ Y2))) => 45.57/7.21 (X2 @ Y0 @ Y2)))))))))))))) 45.57/7.21 | (X2 @ '#sk10' @ '#sk12') 45.57/7.21 | ~ ('#form94'))), 45.57/7.21 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl87])). 45.57/7.21 thf(zip_derived_cl113, plain, 45.57/7.21 (![X2 : a > a > $o]: 45.57/7.21 (~ (((!!) @ (^[Y0 : a]: 45.57/7.21 (((!!) @ (^[Y1 : a]: 45.57/7.21 ((('#sk2' @ Y0 @ Y1) => (X2 @ Y0 @ Y1))))))))) 45.57/7.21 | ~ (((!!) @ (^[Y0 : a]: 45.57/7.21 (((!!) @ (^[Y1 : a]: 45.57/7.21 (((!!) @ (^[Y2 : a]: 45.57/7.21 (((((X2 @ Y0 @ Y1) & (X2 @ 45.57/7.21 Y1 @ Y2))) => 45.57/7.21 (X2 @ Y0 @ Y2)))))))))))) 45.57/7.21 | ~ ('#form94') 45.57/7.21 | (X2 @ '#sk10' @ '#sk12'))), 45.57/7.21 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl103])). 45.57/7.21 thf(zip_derived_cl127, plain, 45.57/7.21 (![X2 : a > a > $o]: 45.57/7.21 (~ (((!!) @ (^[Y0 : a]: 45.57/7.21 ((('#sk2' @ ('#sk288' @ X2) @ Y0) => (X2 @ 45.57/7.21 ('#sk288' @ X2) @ Y0)))))) 45.57/7.21 | (X2 @ '#sk10' @ '#sk12') 45.57/7.21 | ~ ('#form94') 45.57/7.21 | ~ (((!!) @ (^[Y0 : a]: 45.57/7.21 (((!!) @ (^[Y1 : a]: 45.57/7.21 (((!!) @ (^[Y2 : a]: 45.57/7.21 (((((X2 @ Y0 @ Y1) & (X2 @ 45.57/7.21 Y1 @ Y2))) => 45.57/7.21 (X2 @ Y0 @ Y2)))))))))))))), 45.57/7.21 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl113])). 45.57/7.21 thf(zip_derived_cl139, plain, 45.57/7.21 (![X2 : a > a > $o]: 45.57/7.21 (~ ((('#sk2' @ ('#sk288' @ X2) @ ('#sk384' @ X2)) => (X2 @ 45.57/7.21 ('#sk288' @ X2) @ ('#sk384' @ X2)))) 45.57/7.21 | ~ (((!!) @ (^[Y0 : a]: 45.57/7.21 (((!!) @ (^[Y1 : a]: 45.57/7.21 (((!!) @ (^[Y2 : a]: 45.57/7.21 (((((X2 @ Y0 @ Y1) & (X2 @ 45.57/7.21 Y1 @ Y2))) => 45.57/7.21 (X2 @ Y0 @ Y2)))))))))))) 45.57/7.21 | ~ ('#form94') 45.57/7.21 | (X2 @ '#sk10' @ '#sk12'))), 45.57/7.21 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl127])). 45.57/7.21 thf(zip_derived_cl156, plain, 45.57/7.21 (![X2 : a > a > $o]: 45.57/7.21 ( ('#sk2' @ ('#sk288' @ X2) @ ('#sk384' @ X2)) 45.57/7.21 | (X2 @ '#sk10' @ '#sk12') 45.57/7.21 | ~ ('#form94') 45.57/7.21 | ~ (((!!) @ (^[Y0 : a]: 45.57/7.21 (((!!) @ (^[Y1 : a]: 45.57/7.21 (((!!) @ (^[Y2 : a]: 45.57/7.21 (((((X2 @ Y0 @ Y1) & (X2 @ 45.57/7.21 Y1 @ Y2))) => 45.57/7.21 (X2 @ Y0 @ Y2)))))))))))))), 45.57/7.21 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl139])). 45.57/7.21 thf(zip_derived_cl170, plain, 45.57/7.21 (![X2 : a > a > $o]: 45.57/7.21 (~ (((!!) @ (^[Y0 : a]: 45.57/7.21 (((!!) @ (^[Y1 : a]: 45.57/7.21 (((((X2 @ ('#sk182' @ X2) @ Y0) & (X2 @ 45.57/7.21 Y0 @ Y1))) => 45.57/7.21 (X2 @ ('#sk182' @ X2) @ Y1))))))))) 45.57/7.21 | ~ ('#form94') 45.57/7.21 | (X2 @ '#sk10' @ '#sk12') 45.57/7.21 | ('#sk2' @ ('#sk288' @ X2) @ ('#sk384' @ X2)))), 45.57/7.21 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl156])). 45.57/7.21 thf(zip_derived_cl180, plain, 45.57/7.21 (![X2 : a > a > $o]: 45.57/7.21 (~ (((!!) @ (^[Y0 : a]: 45.57/7.21 (((((X2 @ ('#sk182' @ X2) @ ('#sk252' @ X2)) & (X2 @ 45.57/7.21 ('#sk252' @ X2) @ Y0))) => 45.57/7.21 (X2 @ ('#sk182' @ X2) @ Y0)))))) 45.57/7.21 | ('#sk2' @ ('#sk288' @ X2) @ ('#sk384' @ X2)) 45.57/7.21 | (X2 @ '#sk10' @ '#sk12') 45.57/7.21 | ~ ('#form94'))), 45.57/7.21 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl170])). 45.57/7.21 thf(zip_derived_cl183, plain, 45.57/7.21 (![X2 : a > a > $o]: 45.57/7.21 (~ (((((X2 @ ('#sk182' @ X2) @ ('#sk252' @ X2)) & (X2 @ 45.57/7.21 ('#sk252' @ X2) @ ('#sk333' @ X2)))) => 45.57/7.21 (X2 @ ('#sk182' @ X2) @ ('#sk333' @ X2)))) 45.57/7.21 | ~ ('#form94') 45.57/7.21 | (X2 @ '#sk10' @ '#sk12') 45.57/7.21 | ('#sk2' @ ('#sk288' @ X2) @ ('#sk384' @ X2)))), 45.57/7.21 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl180])). 45.57/7.21 thf(zip_derived_cl186, plain, 45.57/7.21 (![X2 : a > a > $o]: 45.57/7.21 (~ (X2 @ ('#sk182' @ X2) @ ('#sk333' @ X2)) 45.57/7.21 | ('#sk2' @ ('#sk288' @ X2) @ ('#sk384' @ X2)) 45.57/7.21 | (X2 @ '#sk10' @ '#sk12') 45.57/7.21 | ~ ('#form94'))), 45.57/7.21 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl183])). 45.57/7.21 thf(zip_derived_cl157, plain, 45.57/7.21 (![X2 : a > a > $o]: 45.57/7.21 (~ (X2 @ ('#sk288' @ X2) @ ('#sk384' @ X2)) 45.57/7.21 | (X2 @ '#sk10' @ '#sk12') 45.57/7.21 | ~ ('#form94') 45.57/7.21 | ~ (((!!) @ (^[Y0 : a]: 45.57/7.21 (((!!) @ (^[Y1 : a]: 45.57/7.21 (((!!) @ (^[Y2 : a]: 45.57/7.21 (((((X2 @ Y0 @ Y1) & (X2 @ 45.57/7.21 Y1 @ Y2))) => 45.57/7.21 (X2 @ Y0 @ Y2)))))))))))))), 45.57/7.21 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl139])). 45.57/7.21 thf(zip_derived_cl171, plain, 45.57/7.21 (![X2 : a > a > $o]: 45.57/7.21 (~ (((!!) @ (^[Y0 : a]: 45.57/7.21 (((!!) @ (^[Y1 : a]: 45.57/7.21 (((((X2 @ ('#sk182' @ X2) @ Y0) & (X2 @ 45.57/7.21 Y0 @ Y1))) => 45.57/7.21 (X2 @ ('#sk182' @ X2) @ Y1))))))))) 45.57/7.21 | ~ ('#form94') 45.57/7.21 | (X2 @ '#sk10' @ '#sk12') 45.57/7.21 | ~ (X2 @ ('#sk288' @ X2) @ ('#sk384' @ X2)))), 45.57/7.21 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl157])). 45.57/7.21 thf(zip_derived_cl181, plain, 45.57/7.21 (![X2 : a > a > $o]: 45.57/7.21 (~ (((!!) @ (^[Y0 : a]: 45.57/7.21 (((((X2 @ ('#sk182' @ X2) @ ('#sk252' @ X2)) & (X2 @ 45.57/7.21 ('#sk252' @ X2) @ Y0))) => 45.57/7.21 (X2 @ ('#sk182' @ X2) @ Y0)))))) 45.57/7.21 | ~ (X2 @ ('#sk288' @ X2) @ ('#sk384' @ X2)) 45.57/7.21 | (X2 @ '#sk10' @ '#sk12') 45.57/7.21 | ~ ('#form94'))), 45.57/7.21 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl171])). 45.57/7.21 thf(zip_derived_cl184, plain, 45.57/7.21 (![X2 : a > a > $o]: 45.57/7.21 (~ (((((X2 @ ('#sk182' @ X2) @ ('#sk252' @ X2)) & (X2 @ 45.57/7.21 ('#sk252' @ X2) @ ('#sk333' @ X2)))) => 45.57/7.21 (X2 @ ('#sk182' @ X2) @ ('#sk333' @ X2)))) 45.57/7.21 | ~ ('#form94') 45.57/7.21 | (X2 @ '#sk10' @ '#sk12') 45.57/7.21 | ~ (X2 @ ('#sk288' @ X2) @ ('#sk384' @ X2)))), 45.57/7.21 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl181])). 45.57/7.21 thf(zip_derived_cl188, plain, 45.57/7.21 (![X2 : a > a > $o]: 45.57/7.21 (~ (X2 @ ('#sk182' @ X2) @ ('#sk333' @ X2)) 45.57/7.21 | ~ (X2 @ ('#sk288' @ X2) @ ('#sk384' @ X2)) 45.57/7.21 | (X2 @ '#sk10' @ '#sk12') 45.57/7.21 | ~ ('#form94'))), 45.57/7.21 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl184])). 45.57/7.21 thf(zip_derived_cl185, plain, 45.57/7.21 (![X2 : a > a > $o]: 45.57/7.21 ( (((X2 @ ('#sk182' @ X2) @ ('#sk252' @ X2)) & (X2 @ 45.57/7.21 ('#sk252' @ X2) @ ('#sk333' @ X2)))) 45.57/7.21 | ('#sk2' @ ('#sk288' @ X2) @ ('#sk384' @ X2)) 45.57/7.21 | (X2 @ '#sk10' @ '#sk12') 45.57/7.21 | ~ ('#form94'))), 45.57/7.21 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl183])). 45.57/7.21 thf(zip_derived_cl190, plain, 45.57/7.21 (![X2 : a > a > $o]: 45.57/7.21 ( (X2 @ ('#sk252' @ X2) @ ('#sk333' @ X2)) 45.57/7.21 | ~ ('#form94') 45.57/7.21 | (X2 @ '#sk10' @ '#sk12') 45.57/7.21 | ('#sk2' @ ('#sk288' @ X2) @ ('#sk384' @ X2)))), 45.57/7.21 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl185])). 45.57/7.21 thf(zip_derived_cl187, plain, 45.57/7.21 (![X2 : a > a > $o]: 45.57/7.21 ( (((X2 @ ('#sk182' @ X2) @ ('#sk252' @ X2)) & (X2 @ 45.57/7.21 ('#sk252' @ X2) @ ('#sk333' @ X2)))) 45.57/7.21 | ~ (X2 @ ('#sk288' @ X2) @ ('#sk384' @ X2)) 45.57/7.21 | (X2 @ '#sk10' @ '#sk12') 45.57/7.21 | ~ ('#form94'))), 45.57/7.21 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl184])). 45.57/7.21 thf(zip_derived_cl192, plain, 45.57/7.21 (![X2 : a > a > $o]: 45.57/7.21 ( (X2 @ ('#sk252' @ X2) @ ('#sk333' @ X2)) 45.57/7.21 | ~ ('#form94') 45.57/7.21 | (X2 @ '#sk10' @ '#sk12') 45.57/7.21 | ~ (X2 @ ('#sk288' @ X2) @ ('#sk384' @ X2)))), 45.57/7.21 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl187])). 45.57/7.21 thf(zip_derived_cl49, plain, 45.57/7.21 ((~ (((!!) @ (^[Y0 : a > a > $o]: 45.57/7.21 (((((((!!) @ (^[Y1 : a]: 45.57/7.21 (((!!) @ (^[Y2 : a]: 45.57/7.21 (((!!) @ (^[Y3 : a]: 45.57/7.21 (((((Y0 @ Y2 @ 45.57/7.21 Y3) & (Y0 @ 45.57/7.21 Y1 @ Y2))) => 45.57/7.21 (Y0 @ Y1 @ Y3)))))))))))) & 45.57/7.21 (((!!) @ (^[Y1 : a]: 45.57/7.21 (((!!) @ (^[Y2 : a]: 45.57/7.21 ((((('#sk2' @ Y1 @ Y2) | 45.57/7.21 ('#sk1' @ Y1 @ Y2))) => 45.57/7.21 (Y0 @ Y1 @ Y2))))))))))) => 45.57/7.21 (Y0 @ '#sk10' @ '#sk12')))))) 45.57/7.21 | ('#form9'))), 45.57/7.21 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl41])). 45.57/7.21 thf(zip_derived_cl67, plain, 45.57/7.21 ((~ (((((((!!) @ (^[Y0 : a]: 45.57/7.21 (((!!) @ (^[Y1 : a]: 45.57/7.21 (((!!) @ (^[Y2 : a]: 45.57/7.21 ((((('#sk30' @ Y1 @ Y2) & 45.57/7.21 ('#sk30' @ Y0 @ Y1))) => 45.57/7.21 ('#sk30' @ Y0 @ Y2)))))))))))) & 45.57/7.21 (((!!) @ (^[Y0 : a]: 45.57/7.21 (((!!) @ (^[Y1 : a]: 45.57/7.21 ((((('#sk2' @ Y0 @ Y1) | ('#sk1' @ Y0 @ 45.57/7.21 Y1))) => 45.57/7.21 ('#sk30' @ Y0 @ Y1))))))))))) => 45.57/7.21 ('#sk30' @ '#sk10' @ '#sk12'))) 45.57/7.21 | ('#form9'))), 45.57/7.21 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl49])). 45.57/7.21 thf(zip_derived_cl80, plain, 45.57/7.21 ((~ ('#sk30' @ '#sk10' @ '#sk12') | ('#form9'))), 45.57/7.21 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl67])). 45.57/7.21 thf(zip_derived_cl189, plain, 45.57/7.21 (![X2 : a > a > $o]: 45.57/7.21 ( (X2 @ ('#sk182' @ X2) @ ('#sk252' @ X2)) 45.57/7.21 | ~ ('#form94') 45.57/7.21 | (X2 @ '#sk10' @ '#sk12') 45.57/7.21 | ('#sk2' @ ('#sk288' @ X2) @ ('#sk384' @ X2)))), 45.57/7.21 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl185])). 45.57/7.21 thf(zip_derived_cl79, plain, 45.57/7.21 (( (((((!!) @ (^[Y0 : a]: 45.57/7.21 (((!!) @ (^[Y1 : a]: 45.57/7.21 (((!!) @ (^[Y2 : a]: 45.57/7.21 ((((('#sk30' @ Y1 @ Y2) & 45.57/7.21 ('#sk30' @ Y0 @ Y1))) => 45.57/7.21 ('#sk30' @ Y0 @ Y2)))))))))))) & 45.57/7.21 (((!!) @ (^[Y0 : a]: 45.57/7.21 (((!!) @ (^[Y1 : a]: 45.57/7.21 ((((('#sk2' @ Y0 @ Y1) | ('#sk1' @ Y0 @ Y1))) => 45.57/7.21 ('#sk30' @ Y0 @ Y1))))))))))) 45.57/7.21 | ('#form9'))), 45.57/7.21 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl67])). 45.57/7.21 thf(zip_derived_cl95, plain, 45.57/7.21 (( (((!!) @ (^[Y0 : a]: 45.57/7.21 (((!!) @ (^[Y1 : a]: 45.57/7.21 ((((('#sk2' @ Y0 @ Y1) | ('#sk1' @ Y0 @ Y1))) => 45.57/7.21 ('#sk30' @ Y0 @ Y1))))))))) 45.57/7.21 | ('#form9'))), 45.57/7.21 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl79])). 45.57/7.21 thf(zip_derived_cl105, plain, 45.57/7.21 (![X2 : a]: 45.57/7.21 ( (((!!) @ (^[Y0 : a]: 45.57/7.21 ((((('#sk2' @ X2 @ Y0) | ('#sk1' @ X2 @ Y0))) => 45.57/7.21 ('#sk30' @ X2 @ Y0)))))) 45.57/7.21 | ('#form9'))), 45.57/7.21 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl95])). 45.57/7.21 thf(zip_derived_cl115, plain, 45.57/7.21 (![X2 : a, X4 : a]: 45.57/7.21 ( ((((('#sk2' @ X2 @ X4) | ('#sk1' @ X2 @ X4))) => ('#sk30' @ X2 @ X4))) 45.57/7.21 | ('#form9'))), 45.57/7.21 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl105])). 45.57/7.21 thf(zip_derived_cl129, plain, 45.57/7.21 (![X2 : a, X4 : a]: 45.57/7.21 (~ ((('#sk2' @ X2 @ X4) | ('#sk1' @ X2 @ X4))) 45.57/7.21 | ('#sk30' @ X2 @ X4) 45.57/7.21 | ('#form9'))), 45.57/7.21 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl115])). 45.57/7.21 thf(zip_derived_cl141, plain, 45.57/7.21 (![X2 : a, X4 : a]: 45.57/7.21 (~ ('#sk2' @ X2 @ X4) | ('#form9') | ('#sk30' @ X2 @ X4))), 45.57/7.21 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl129])). 45.57/7.21 thf(zip_derived_cl191, plain, 45.57/7.21 (![X2 : a > a > $o]: 45.57/7.21 ( (X2 @ ('#sk182' @ X2) @ ('#sk252' @ X2)) 45.57/7.21 | ~ ('#form94') 45.57/7.21 | (X2 @ '#sk10' @ '#sk12') 45.57/7.21 | ~ (X2 @ ('#sk288' @ X2) @ ('#sk384' @ X2)))), 45.57/7.21 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl187])). 45.57/7.21 thf(zip_derived_cl22, plain, 45.57/7.21 ((~ (((!!) @ (^[Y0 : a > a > $o]: 45.57/7.21 (((((((!!) @ (^[Y1 : a]: 45.57/7.21 (((!!) @ (^[Y2 : a]: 45.57/7.21 ((((('#sk1' @ Y1 @ Y2) | 45.57/7.21 ('#sk2' @ Y1 @ Y2))) => 45.57/7.21 (Y0 @ Y1 @ Y2))))))))) & 45.57/7.21 (((!!) @ (^[Y1 : a]: 45.57/7.21 (((!!) @ (^[Y2 : a]: 45.57/7.21 (((!!) @ (^[Y3 : a]: 45.57/7.21 (((((Y0 @ Y1 @ 45.57/7.21 Y2) & (Y0 @ 45.57/7.21 Y2 @ Y3))) => 45.57/7.21 (Y0 @ Y1 @ Y3)))))))))))))) => 45.57/7.21 (Y0 @ '#sk6' @ '#sk8')))))) 45.57/7.21 | ~ (((!!) @ (^[Y0 : a]: 45.57/7.21 (((!!) @ (^[Y1 : a]: 45.57/7.21 (((((((!!) @ (^[Y2 : a > a > $o]: 45.57/7.21 (((((((!!) @ (^[Y3 : a]: 45.57/7.21 (((!!) @ ( 45.57/7.21 ^[Y4 : a]: 45.57/7.21 (( 45.57/7.21 ('#sk1' @ 45.57/7.21 Y3 @ 45.57/7.21 Y4) => 45.57/7.21 (Y2 @ 45.57/7.21 Y3 @ Y4))))))))) & 45.57/7.21 (((!!) @ (^[Y3 : a]: 45.57/7.21 (((!!) @ ( 45.57/7.21 ^[Y4 : a]: 45.57/7.21 (( 45.57/7.21 (!!) @ ( 45.57/7.21 ^[Y5 : a]: 45.57/7.21 (( 45.57/7.21 (( 45.57/7.21 (Y2 @ 45.57/7.21 Y4 @ 45.57/7.21 Y5) & 45.57/7.21 (Y2 @ 45.57/7.21 Y3 @ Y4))) => 45.57/7.21 (Y2 @ 45.57/7.21 Y3 @ Y5)))))))))))))) => 45.57/7.21 (Y2 @ Y0 @ Y1)))))) | 45.57/7.21 (((!!) @ (^[Y2 : a > a > $o]: 45.57/7.21 (((((((!!) @ (^[Y3 : a]: 45.57/7.21 (((!!) @ ( 45.57/7.21 ^[Y4 : a]: 45.57/7.21 (( 45.57/7.21 ('#sk2' @ 45.57/7.21 Y3 @ 45.57/7.21 Y4) => 45.57/7.21 (Y2 @ 45.57/7.21 Y3 @ Y4))))))))) & 45.57/7.21 (((!!) @ (^[Y3 : a]: 45.57/7.21 (((!!) @ ( 45.57/7.21 ^[Y4 : a]: 45.57/7.21 (( 45.57/7.21 (!!) @ ( 45.57/7.21 ^[Y5 : a]: 45.57/7.21 (( 45.57/7.21 (( 45.57/7.21 (Y2 @ 45.57/7.21 Y3 @ 45.57/7.21 Y4) & 45.57/7.21 (Y2 @ 45.57/7.21 Y4 @ Y5))) => 45.57/7.21 (Y2 @ 45.57/7.21 Y3 @ Y5)))))))))))))) => 45.57/7.21 (Y2 @ Y0 @ Y1)))))))) => 45.57/7.21 (((!!) @ (^[Y2 : a > a > $o]: 45.57/7.21 (((((((!!) @ (^[Y3 : a]: 45.57/7.21 (((!!) @ ( 45.57/7.21 ^[Y4 : a]: 45.57/7.21 ( 45.57/7.21 ( 45.57/7.21 (!!) @ ( 45.57/7.21 ^[Y5 : a]: 45.57/7.21 (( 45.57/7.21 (( 45.57/7.21 (Y2 @ 45.57/7.21 Y4 @ 45.57/7.21 Y5) & 45.57/7.21 (Y2 @ 45.57/7.21 Y3 @ Y4))) => 45.57/7.21 (Y2 @ 45.57/7.21 Y3 @ Y5)))))))))))) & 45.57/7.21 (((!!) @ (^[Y3 : a]: 45.57/7.21 (((!!) @ ( 45.57/7.21 ^[Y4 : a]: 45.57/7.21 ( 45.57/7.21 ( 45.57/7.21 (( 45.57/7.21 ('#sk2' @ 45.57/7.21 Y3 @ 45.57/7.21 Y4) | 45.57/7.21 ('#sk1' @ 45.57/7.21 Y3 @ Y4))) => 45.57/7.21 (Y2 @ 45.57/7.21 Y3 @ Y4))))))))))) => 45.57/7.21 (Y2 @ Y0 @ Y1)))))))))))))) 45.57/7.21 | (((!!) @ (^[Y0 : a > a > $o]: 45.57/7.21 (((((((!!) @ (^[Y1 : a]: 45.57/7.21 (((!!) @ (^[Y2 : a]: 45.57/7.21 ((((('#sk1' @ Y1 @ Y2) | 45.57/7.21 ('#sk2' @ Y1 @ Y2))) => 45.57/7.21 (Y0 @ Y1 @ Y2))))))))) & 45.57/7.21 (((!!) @ (^[Y1 : a]: 45.57/7.21 (((!!) @ (^[Y2 : a]: 45.57/7.21 (((!!) @ (^[Y3 : a]: 45.57/7.21 (((((Y0 @ Y1 @ 45.57/7.21 Y2) & (Y0 @ 45.57/7.21 Y2 @ Y3))) => 45.57/7.21 (Y0 @ Y1 @ Y3)))))))))))))) => 45.57/7.21 (Y0 @ '#sk3' @ '#sk4')))))))), 45.57/7.21 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl18])). 45.57/7.21 thf(zip_derived_cl27, plain, 45.57/7.21 (( ('#form9') 45.57/7.21 | ~ (((!!) @ (^[Y0 : a]: 45.57/7.21 (((!!) @ (^[Y1 : a]: 45.57/7.21 (((((((!!) @ (^[Y2 : a > a > $o]: 45.57/7.21 (((((((!!) @ (^[Y3 : a]: 45.57/7.21 (((!!) @ ( 45.57/7.21 ^[Y4 : a]: 45.57/7.21 (( 45.57/7.21 ('#sk1' @ 45.57/7.21 Y3 @ 45.57/7.21 Y4) => 45.57/7.21 (Y2 @ 45.57/7.21 Y3 @ Y4))))))))) & 45.57/7.21 (((!!) @ (^[Y3 : a]: 45.57/7.21 (((!!) @ ( 45.57/7.21 ^[Y4 : a]: 45.57/7.21 (( 45.57/7.21 (!!) @ ( 45.57/7.21 ^[Y5 : a]: 45.57/7.21 (( 45.57/7.21 (( 45.57/7.21 (Y2 @ 45.57/7.21 Y4 @ 45.57/7.21 Y5) & 45.57/7.21 (Y2 @ 45.57/7.21 Y3 @ Y4))) => 45.57/7.21 (Y2 @ 45.57/7.21 Y3 @ Y5)))))))))))))) => 45.57/7.21 (Y2 @ Y0 @ Y1)))))) | 45.57/7.21 (((!!) @ (^[Y2 : a > a > $o]: 45.57/7.21 (((((((!!) @ (^[Y3 : a]: 45.57/7.21 (((!!) @ ( 45.57/7.21 ^[Y4 : a]: 45.57/7.21 (( 45.57/7.21 ('#sk2' @ 45.57/7.21 Y3 @ 45.57/7.21 Y4) => 45.57/7.21 (Y2 @ 45.57/7.21 Y3 @ Y4))))))))) & 45.57/7.21 (((!!) @ (^[Y3 : a]: 45.57/7.21 (((!!) @ ( 45.57/7.21 ^[Y4 : a]: 45.57/7.21 (( 45.57/7.21 (!!) @ ( 45.57/7.21 ^[Y5 : a]: 45.57/7.21 (( 45.57/7.21 (( 45.57/7.21 (Y2 @ 45.57/7.21 Y3 @ 45.57/7.21 Y4) & 45.57/7.21 (Y2 @ 45.57/7.21 Y4 @ Y5))) => 45.57/7.21 (Y2 @ 45.57/7.21 Y3 @ Y5)))))))))))))) => 45.57/7.21 (Y2 @ Y0 @ Y1)))))))) => 45.57/7.21 (((!!) @ (^[Y2 : a > a > $o]: 45.57/7.21 (((((((!!) @ (^[Y3 : a]: 45.57/7.21 (((!!) @ ( 45.57/7.21 ^[Y4 : a]: 45.57/7.21 ( 45.57/7.21 ( 45.57/7.21 (!!) @ ( 45.57/7.21 ^[Y5 : a]: 45.57/7.21 (( 45.57/7.21 (( 45.57/7.21 (Y2 @ 45.57/7.21 Y4 @ 45.57/7.21 Y5) & 45.57/7.21 (Y2 @ 45.57/7.21 Y3 @ Y4))) => 45.57/7.21 (Y2 @ 45.57/7.21 Y3 @ Y5)))))))))))) & 45.57/7.21 (((!!) @ (^[Y3 : a]: 45.57/7.21 (((!!) @ ( 45.57/7.21 ^[Y4 : a]: 45.57/7.21 ( 45.57/7.21 ( 45.57/7.21 (( 45.57/7.21 ('#sk2' @ 45.57/7.21 Y3 @ 45.57/7.21 Y4) | 45.57/7.21 ('#sk1' @ 45.57/7.21 Y3 @ Y4))) => 45.57/7.21 (Y2 @ 45.57/7.21 Y3 @ Y4))))))))))) => 45.57/7.21 (Y2 @ Y0 @ Y1)))))))))))))))), 45.57/7.21 define([status(thm)])). 45.57/7.21 thf(zip_derived_cl29, plain, 45.57/7.21 ((~ ('#form9') 45.57/7.21 | (((!!) @ (^[Y0 : a > a > $o]: 45.57/7.21 (((((((!!) @ (^[Y1 : a]: 45.57/7.21 (((!!) @ (^[Y2 : a]: 45.57/7.21 ((((('#sk1' @ Y1 @ Y2) | 45.57/7.21 ('#sk2' @ Y1 @ Y2))) => 45.57/7.21 (Y0 @ Y1 @ Y2))))))))) & 45.57/7.21 (((!!) @ (^[Y1 : a]: 45.57/7.21 (((!!) @ (^[Y2 : a]: 45.57/7.21 (((!!) @ (^[Y3 : a]: 45.57/7.21 (((((Y0 @ Y1 @ 45.57/7.21 Y2) & (Y0 @ 45.57/7.21 Y2 @ Y3))) => 45.57/7.21 (Y0 @ Y1 @ Y3)))))))))))))) => 45.57/7.21 (Y0 @ '#sk3' @ '#sk4')))))) 45.57/7.21 | ~ (((!!) @ (^[Y0 : a > a > $o]: 45.57/7.21 (((((((!!) @ (^[Y1 : a]: 45.57/7.21 (((!!) @ (^[Y2 : a]: 45.57/7.21 ((((('#sk1' @ Y1 @ Y2) | 45.57/7.21 ('#sk2' @ Y1 @ Y2))) => 45.57/7.21 (Y0 @ Y1 @ Y2))))))))) & 45.57/7.21 (((!!) @ (^[Y1 : a]: 45.57/7.21 (((!!) @ (^[Y2 : a]: 45.57/7.21 (((!!) @ (^[Y3 : a]: 45.57/7.21 (((((Y0 @ Y1 @ 45.57/7.21 Y2) & 45.57/7.21 (Y0 @ Y2 @ 45.57/7.21 Y3))) => 45.57/7.21 (Y0 @ Y1 @ 45.57/7.21 Y3)))))))))))))) => 45.57/7.21 (Y0 @ '#sk6' @ '#sk8')))))))), 45.57/7.21 inference('renaming', [status(thm)], [zip_derived_cl22, zip_derived_cl27])). 45.57/7.21 thf(zip_derived_cl21, plain, 45.57/7.21 (( (((((!!) @ (^[Y0 : a > a > $o]: 45.57/7.21 (((((((!!) @ (^[Y1 : a]: 45.57/7.21 (((!!) @ (^[Y2 : a]: 45.57/7.21 (((!!) @ (^[Y3 : a]: 45.57/7.21 (((((Y0 @ Y2 @ 45.57/7.21 Y3) & (Y0 @ 45.57/7.21 Y1 @ Y2))) => 45.57/7.21 (Y0 @ Y1 @ Y3)))))))))))) & 45.57/7.21 (((!!) @ (^[Y1 : a]: 45.57/7.21 (((!!) @ (^[Y2 : a]: 45.57/7.21 ((((('#sk1' @ Y1 @ Y2) | 45.57/7.21 ('#sk2' @ Y1 @ Y2))) => 45.57/7.21 (Y0 @ Y1 @ Y2))))))))))) => 45.57/7.21 (Y0 @ '#sk7' @ '#sk8')))))) & 45.57/7.21 (((!!) @ (^[Y0 : a > a > $o]: 45.57/7.21 (((((((!!) @ (^[Y1 : a]: 45.57/7.21 (((!!) @ (^[Y2 : a]: 45.57/7.21 ((((('#sk2' @ Y1 @ Y2) | 45.57/7.21 ('#sk1' @ Y1 @ Y2))) => 45.57/7.21 (Y0 @ Y1 @ Y2))))))))) & 45.57/7.21 (((!!) @ (^[Y1 : a]: 45.57/7.21 (((!!) @ (^[Y2 : a]: 45.57/7.21 (((!!) @ (^[Y3 : a]: 45.57/7.21 (((((Y0 @ Y2 @ 45.57/7.21 Y3) & (Y0 @ 45.57/7.21 Y1 @ Y2))) => 45.57/7.21 (Y0 @ Y1 @ Y3)))))))))))))) => 45.57/7.21 (Y0 @ '#sk6' @ '#sk7')))))))) 45.57/7.21 | ~ (((!!) @ (^[Y0 : a]: 45.57/7.21 (((!!) @ (^[Y1 : a]: 45.57/7.21 (((((((!!) @ (^[Y2 : a > a > $o]: 45.57/7.21 (((((((!!) @ (^[Y3 : a]: 45.57/7.21 (((!!) @ ( 45.57/7.21 ^[Y4 : a]: 45.57/7.21 (( 45.57/7.21 ('#sk1' @ 45.57/7.21 Y3 @ 45.57/7.21 Y4) => 45.57/7.21 (Y2 @ 45.57/7.21 Y3 @ Y4))))))))) & 45.57/7.21 (((!!) @ (^[Y3 : a]: 45.57/7.21 (((!!) @ ( 45.57/7.21 ^[Y4 : a]: 45.57/7.21 (( 45.57/7.21 (!!) @ ( 45.57/7.21 ^[Y5 : a]: 45.57/7.21 (( 45.57/7.21 (( 45.57/7.21 (Y2 @ 45.57/7.21 Y4 @ 45.57/7.21 Y5) & 45.57/7.21 (Y2 @ 45.57/7.21 Y3 @ Y4))) => 45.57/7.21 (Y2 @ 45.57/7.21 Y3 @ Y5)))))))))))))) => 45.57/7.21 (Y2 @ Y0 @ Y1)))))) | 45.57/7.21 (((!!) @ (^[Y2 : a > a > $o]: 45.57/7.21 (((((((!!) @ (^[Y3 : a]: 45.57/7.21 (((!!) @ ( 45.57/7.21 ^[Y4 : a]: 45.57/7.21 (( 45.57/7.21 ('#sk2' @ 45.57/7.21 Y3 @ 45.57/7.21 Y4) => 45.57/7.21 (Y2 @ 45.57/7.21 Y3 @ Y4))))))))) & 45.57/7.21 (((!!) @ (^[Y3 : a]: 45.57/7.21 (((!!) @ ( 45.57/7.21 ^[Y4 : a]: 45.57/7.21 (( 45.57/7.21 (!!) @ ( 45.57/7.21 ^[Y5 : a]: 45.57/7.21 (( 45.57/7.21 (( 45.57/7.21 (Y2 @ 45.57/7.21 Y3 @ 45.57/7.21 Y4) & 45.57/7.21 (Y2 @ 45.57/7.21 Y4 @ Y5))) => 45.57/7.21 (Y2 @ 45.57/7.21 Y3 @ Y5)))))))))))))) => 45.57/7.21 (Y2 @ Y0 @ Y1)))))))) => 45.57/7.21 (((!!) @ (^[Y2 : a > a > $o]: 45.57/7.21 (((((((!!) @ (^[Y3 : a]: 45.57/7.21 (((!!) @ ( 45.57/7.21 ^[Y4 : a]: 45.57/7.21 ( 45.57/7.21 ( 45.57/7.21 (!!) @ ( 45.57/7.21 ^[Y5 : a]: 45.57/7.21 (( 45.57/7.21 (( 45.57/7.21 (Y2 @ 45.57/7.21 Y4 @ 45.57/7.21 Y5) & 45.57/7.21 (Y2 @ 45.57/7.21 Y3 @ Y4))) => 45.57/7.21 (Y2 @ 45.57/7.21 Y3 @ Y5)))))))))))) & 45.57/7.21 (((!!) @ (^[Y3 : a]: 45.57/7.21 (((!!) @ ( 45.57/7.21 ^[Y4 : a]: 45.57/7.21 ( 45.57/7.21 ( 45.57/7.21 (( 45.57/7.21 ('#sk2' @ 45.57/7.21 Y3 @ 45.57/7.21 Y4) | 45.57/7.21 ('#sk1' @ 45.57/7.21 Y3 @ Y4))) => 45.57/7.21 (Y2 @ 45.57/7.21 Y3 @ Y4))))))))))) => 45.57/7.21 (Y2 @ Y0 @ Y1)))))))))))))) 45.57/7.21 | (((!!) @ (^[Y0 : a > a > $o]: 45.57/7.21 (((((((!!) @ (^[Y1 : a]: 45.57/7.21 (((!!) @ (^[Y2 : a]: 45.57/7.21 ((((('#sk1' @ Y1 @ Y2) | 45.57/7.21 ('#sk2' @ Y1 @ Y2))) => 45.57/7.21 (Y0 @ Y1 @ Y2))))))))) & 45.57/7.21 (((!!) @ (^[Y1 : a]: 45.57/7.21 (((!!) @ (^[Y2 : a]: 45.57/7.21 (((!!) @ (^[Y3 : a]: 45.57/7.21 (((((Y0 @ Y1 @ 45.57/7.21 Y2) & (Y0 @ 45.57/7.21 Y2 @ Y3))) => 45.57/7.21 (Y0 @ Y1 @ Y3)))))))))))))) => 45.57/7.21 (Y0 @ '#sk3' @ '#sk4')))))))), 45.57/7.21 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl18])). 45.57/7.21 thf(zip_derived_cl25, plain, 45.57/7.21 (( (((!!) @ (^[Y0 : a > a > $o]: 45.57/7.21 (((((((!!) @ (^[Y1 : a]: 45.57/7.21 (((!!) @ (^[Y2 : a]: 45.57/7.21 (((!!) @ (^[Y3 : a]: 45.57/7.21 (((((Y0 @ Y2 @ 45.57/7.21 Y3) & (Y0 @ 45.57/7.21 Y1 @ Y2))) => 45.57/7.21 (Y0 @ Y1 @ Y3)))))))))))) & 45.57/7.21 (((!!) @ (^[Y1 : a]: 45.57/7.21 (((!!) @ (^[Y2 : a]: 45.57/7.21 ((((('#sk1' @ Y1 @ Y2) | 45.57/7.21 ('#sk2' @ Y1 @ Y2))) => 45.57/7.21 (Y0 @ Y1 @ Y2))))))))))) => 45.57/7.21 (Y0 @ '#sk7' @ '#sk8')))))) 45.57/7.21 | (((!!) @ (^[Y0 : a > a > $o]: 45.57/7.21 (((((((!!) @ (^[Y1 : a]: 45.57/7.21 (((!!) @ (^[Y2 : a]: 45.57/7.21 ((((('#sk1' @ Y1 @ Y2) | 45.57/7.21 ('#sk2' @ Y1 @ Y2))) => 45.57/7.21 (Y0 @ Y1 @ Y2))))))))) & 45.57/7.21 (((!!) @ (^[Y1 : a]: 45.57/7.21 (((!!) @ (^[Y2 : a]: 45.57/7.21 (((!!) @ (^[Y3 : a]: 45.57/7.21 (((((Y0 @ Y1 @ 45.57/7.21 Y2) & (Y0 @ 45.57/7.21 Y2 @ Y3))) => 45.57/7.21 (Y0 @ Y1 @ Y3)))))))))))))) => 45.57/7.21 (Y0 @ '#sk3' @ '#sk4')))))) 45.57/7.21 | ~ (((!!) @ (^[Y0 : a]: 45.57/7.21 (((!!) @ (^[Y1 : a]: 45.57/7.21 (((((((!!) @ (^[Y2 : a > a > $o]: 45.57/7.21 (((((((!!) @ (^[Y3 : a]: 45.57/7.21 (((!!) @ ( 45.57/7.21 ^[Y4 : a]: 45.57/7.21 (( 45.57/7.21 ('#sk1' @ 45.57/7.21 Y3 @ 45.57/7.21 Y4) => 45.57/7.21 (Y2 @ 45.57/7.21 Y3 @ Y4))))))))) & 45.57/7.21 (((!!) @ (^[Y3 : a]: 45.57/7.21 (((!!) @ ( 45.57/7.21 ^[Y4 : a]: 45.57/7.21 (( 45.57/7.21 (!!) @ ( 45.57/7.21 ^[Y5 : a]: 45.57/7.21 (( 45.57/7.21 (( 45.57/7.21 (Y2 @ 45.57/7.21 Y4 @ 45.57/7.21 Y5) & 45.57/7.21 (Y2 @ 45.57/7.21 Y3 @ Y4))) => 45.57/7.21 (Y2 @ 45.57/7.21 Y3 @ Y5)))))))))))))) => 45.57/7.21 (Y2 @ Y0 @ Y1)))))) | 45.57/7.21 (((!!) @ (^[Y2 : a > a > $o]: 45.57/7.21 (((((((!!) @ (^[Y3 : a]: 45.57/7.21 (((!!) @ ( 45.57/7.21 ^[Y4 : a]: 45.57/7.21 (( 45.57/7.21 ('#sk2' @ 45.57/7.21 Y3 @ 45.57/7.21 Y4) => 45.57/7.21 (Y2 @ 45.57/7.21 Y3 @ Y4))))))))) & 45.57/7.21 (((!!) @ (^[Y3 : a]: 45.57/7.21 (((!!) @ ( 45.57/7.21 ^[Y4 : a]: 45.57/7.21 (( 45.57/7.21 (!!) @ ( 45.57/7.21 ^[Y5 : a]: 45.57/7.21 (( 45.57/7.21 (( 45.57/7.21 (Y2 @ 45.57/7.21 Y3 @ 45.57/7.21 Y4) & 45.57/7.21 (Y2 @ 45.57/7.21 Y4 @ Y5))) => 45.57/7.21 (Y2 @ 45.57/7.21 Y3 @ Y5)))))))))))))) => 45.57/7.21 (Y2 @ Y0 @ Y1)))))))) => 45.57/7.21 (((!!) @ (^[Y2 : a > a > $o]: 45.57/7.21 (((((((!!) @ (^[Y3 : a]: 45.57/7.21 (((!!) @ ( 45.57/7.21 ^[Y4 : a]: 45.57/7.21 ( 45.57/7.21 ( 45.57/7.21 (!!) @ ( 45.57/7.21 ^[Y5 : a]: 45.57/7.21 (( 45.57/7.21 (( 45.57/7.21 (Y2 @ 45.57/7.21 Y4 @ 45.57/7.21 Y5) & 45.57/7.21 (Y2 @ 45.57/7.21 Y3 @ Y4))) => 45.57/7.21 (Y2 @ 45.57/7.21 Y3 @ Y5)))))))))))) & 45.57/7.21 (((!!) @ (^[Y3 : a]: 45.57/7.21 (((!!) @ ( 45.57/7.21 ^[Y4 : a]: 45.57/7.21 ( 45.57/7.21 ( 45.57/7.21 (( 45.57/7.21 ('#sk2' @ 45.57/7.21 Y3 @ 45.57/7.21 Y4) | 45.57/7.21 ('#sk1' @ 45.57/7.21 Y3 @ Y4))) => 45.57/7.21 (Y2 @ 45.57/7.21 Y3 @ Y4))))))))))) => 45.57/7.21 (Y2 @ Y0 @ Y1)))))))))))))))), 45.57/7.21 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl21])). 45.57/7.21 thf(zip_derived_cl33, plain, 45.57/7.21 ((~ ('#form11') 45.57/7.21 | (((!!) @ (^[Y0 : a > a > $o]: 45.57/7.21 (((((((!!) @ (^[Y1 : a]: 45.57/7.21 (((!!) @ (^[Y2 : a]: 45.57/7.21 ((((('#sk1' @ Y1 @ Y2) | 45.57/7.21 ('#sk2' @ Y1 @ Y2))) => 45.57/7.21 (Y0 @ Y1 @ Y2))))))))) & 45.57/7.21 (((!!) @ (^[Y1 : a]: 45.57/7.21 (((!!) @ (^[Y2 : a]: 45.57/7.21 (((!!) @ (^[Y3 : a]: 45.57/7.21 (((((Y0 @ Y1 @ 45.57/7.21 Y2) & (Y0 @ 45.57/7.21 Y2 @ Y3))) => 45.57/7.21 (Y0 @ Y1 @ Y3)))))))))))))) => 45.57/7.21 (Y0 @ '#sk3' @ '#sk4')))))))), 45.57/7.21 define([status(thm)])). 45.57/7.21 thf(zip_derived_cl40, plain, 45.57/7.21 (( ('#form11') 45.57/7.21 | ~ (((!!) @ (^[Y0 : a > a > $o]: 45.57/7.21 (((((((!!) @ (^[Y1 : a]: 45.57/7.21 (((!!) @ (^[Y2 : a]: 45.57/7.21 ((((('#sk1' @ Y1 @ Y2) | 45.57/7.21 ('#sk2' @ Y1 @ Y2))) => 45.57/7.21 (Y0 @ Y1 @ Y2))))))))) & 45.57/7.21 (((!!) @ (^[Y1 : a]: 45.57/7.21 (((!!) @ (^[Y2 : a]: 45.57/7.21 (((!!) @ (^[Y3 : a]: 45.57/7.21 (((((Y0 @ Y1 @ 45.57/7.21 Y2) & 45.57/7.21 (Y0 @ Y2 @ 45.57/7.21 Y3))) => 45.57/7.21 (Y0 @ Y1 @ 45.57/7.21 Y3)))))))))))))) => 45.57/7.21 (Y0 @ '#sk6' @ '#sk8')))))) 45.57/7.21 | ~ ('#form9'))), 45.57/7.21 inference('renaming', [status(thm)], [zip_derived_cl29, zip_derived_cl33])). 45.57/7.21 thf(zip_derived_cl47, plain, 45.57/7.21 ((~ (((((((!!) @ (^[Y0 : a]: 45.57/7.21 (((!!) @ (^[Y1 : a]: 45.57/7.21 ((((('#sk1' @ Y0 @ Y1) | ('#sk2' @ Y0 @ 45.57/7.21 Y1))) => 45.57/7.21 ('#sk21' @ Y0 @ Y1))))))))) & 45.57/7.21 (((!!) @ (^[Y0 : a]: 45.57/7.21 (((!!) @ (^[Y1 : a]: 45.57/7.21 (((!!) @ (^[Y2 : a]: 45.57/7.21 ((((('#sk21' @ Y0 @ Y1) & 45.57/7.21 ('#sk21' @ Y1 @ Y2))) => 45.57/7.21 ('#sk21' @ Y0 @ Y2)))))))))))))) => 45.57/7.21 ('#sk21' @ '#sk6' @ '#sk8'))) 45.57/7.21 | ~ ('#form9') 45.57/7.21 | ('#form11'))), 45.57/7.21 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl40])). 45.57/7.21 thf(zip_derived_cl62, plain, 45.57/7.21 ((~ ('#sk21' @ '#sk6' @ '#sk8') | ('#form11') | ~ ('#form9'))), 45.57/7.21 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl47])). 45.57/7.21 thf(zip_derived_cl73, plain, 45.57/7.21 (![X2 : a > a > $o]: 45.57/7.21 ( (((((((!!) @ (^[Y0 : a]: 45.57/7.21 (((!!) @ (^[Y1 : a]: 45.57/7.21 ((('#sk1' @ Y0 @ Y1) => (X2 @ Y0 @ Y1))))))))) & 45.57/7.21 (((!!) @ (^[Y0 : a]: 45.57/7.21 (((!!) @ (^[Y1 : a]: 45.57/7.21 (((!!) @ (^[Y2 : a]: 45.57/7.21 (((((X2 @ Y1 @ Y2) & (X2 @ 45.57/7.21 Y0 @ Y1))) => 45.57/7.21 (X2 @ Y0 @ Y2)))))))))))))) => 45.57/7.21 (X2 @ '#sk10' @ '#sk12'))) 45.57/7.21 | ('#form9') 45.57/7.21 | (((!!) @ (^[Y0 : a > a > $o]: 45.57/7.21 (((((((!!) @ (^[Y1 : a]: 45.57/7.21 (((!!) @ (^[Y2 : a]: 45.57/7.21 ((('#sk2' @ Y1 @ Y2) => 45.57/7.21 (Y0 @ Y1 @ Y2))))))))) & 45.57/7.21 (((!!) @ (^[Y1 : a]: 45.57/7.21 (((!!) @ (^[Y2 : a]: 45.57/7.21 (((!!) @ (^[Y3 : a]: 45.57/7.21 (((((Y0 @ 45.57/7.21 Y1 @ Y2) & 45.57/7.21 (Y0 @ 45.57/7.21 Y2 @ Y3))) => 45.57/7.21 (Y0 @ Y1 @ 45.57/7.21 Y3)))))))))))))) => 45.57/7.21 (Y0 @ '#sk10' @ '#sk12')))))))), 45.57/7.21 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl63])). 45.57/7.21 thf(zip_derived_cl74, plain, 45.57/7.21 (( (((((((!!) @ (^[Y0 : a]: 45.57/7.21 (((!!) @ (^[Y1 : a]: 45.57/7.21 ((('#sk1' @ Y0 @ Y1) => ('#sk30' @ Y0 @ 45.57/7.21 Y1))))))))) & 45.57/7.21 (((!!) @ (^[Y0 : a]: 45.57/7.21 (((!!) @ (^[Y1 : a]: 45.57/7.21 (((!!) @ (^[Y2 : a]: 45.57/7.21 ((((('#sk30' @ Y1 @ Y2) & 45.57/7.21 ('#sk30' @ Y0 @ Y1))) => 45.57/7.21 ('#sk30' @ Y0 @ Y2)))))))))))))) => 45.57/7.21 ('#sk30' @ '#sk10' @ '#sk12'))) 45.57/7.21 | ('#form9') 45.57/7.21 | (((!!) @ (^[Y0 : a > a > $o]: 45.57/7.21 (((((((!!) @ (^[Y1 : a]: 45.57/7.21 (((!!) @ (^[Y2 : a]: 45.57/7.21 ((('#sk2' @ Y1 @ Y2) => 45.57/7.21 (Y0 @ Y1 @ Y2))))))))) & 45.57/7.21 (((!!) @ (^[Y1 : a]: 45.57/7.21 (((!!) @ (^[Y2 : a]: 45.57/7.21 (((!!) @ (^[Y3 : a]: 45.57/7.21 (((((Y0 @ Y1 @ 45.57/7.21 Y2) & (Y0 @ 45.57/7.21 Y2 @ Y3))) => 45.57/7.21 (Y0 @ Y1 @ Y3)))))))))))))) => 45.57/7.21 (Y0 @ '#sk10' @ '#sk12')))))))), 45.57/7.21 inference('triggered_bool_instantiation', [status(thm)], 45.57/7.21 [zip_derived_cl73])). 45.57/7.21 thf(zip_derived_cl86, plain, 45.57/7.21 ((~ ('#form94') 45.57/7.21 | (((!!) @ (^[Y0 : a > a > $o]: 45.57/7.21 (((((((!!) @ (^[Y1 : a]: 45.57/7.21 (((!!) @ (^[Y2 : a]: 45.57/7.21 ((('#sk2' @ Y1 @ Y2) => 45.57/7.21 (Y0 @ Y1 @ Y2))))))))) & 45.57/7.21 (((!!) @ (^[Y1 : a]: 45.57/7.21 (((!!) @ (^[Y2 : a]: 45.57/7.21 (((!!) @ (^[Y3 : a]: 45.57/7.21 (((((Y0 @ Y1 @ 45.57/7.21 Y2) & (Y0 @ 45.57/7.21 Y2 @ Y3))) => 45.57/7.21 (Y0 @ Y1 @ Y3)))))))))))))) => 45.57/7.21 (Y0 @ '#sk10' @ '#sk12')))))))), 45.57/7.21 define([status(thm)])). 45.57/7.21 thf(zip_derived_cl380, plain, 45.57/7.21 (( ('#form94') 45.57/7.21 | ('#form9') 45.57/7.21 | (((((((!!) @ (^[Y0 : a]: 45.57/7.21 (((!!) @ (^[Y1 : a]: 45.57/7.21 ((('#sk1' @ Y0 @ Y1) => ('#sk30' @ Y0 @ 45.57/7.21 Y1))))))))) & 45.57/7.21 (((!!) @ (^[Y0 : a]: 45.57/7.21 (((!!) @ (^[Y1 : a]: 45.57/7.21 (((!!) @ (^[Y2 : a]: 45.57/7.21 ((((('#sk30' @ Y1 @ Y2) & 45.57/7.21 ('#sk30' @ Y0 @ Y1))) => 45.57/7.21 ('#sk30' @ Y0 @ Y2)))))))))))))) => 45.57/7.21 ('#sk30' @ '#sk10' @ '#sk12'))))), 45.57/7.21 inference('renaming', [status(thm)], [zip_derived_cl74, zip_derived_cl86])). 45.57/7.21 thf(zip_derived_cl381, plain, 45.57/7.21 ((~ (((((!!) @ (^[Y0 : a]: 45.57/7.21 (((!!) @ (^[Y1 : a]: 45.57/7.21 ((('#sk1' @ Y0 @ Y1) => ('#sk30' @ Y0 @ Y1))))))))) & 45.57/7.21 (((!!) @ (^[Y0 : a]: 45.57/7.21 (((!!) @ (^[Y1 : a]: 45.57/7.21 (((!!) @ (^[Y2 : a]: 45.57/7.21 ((((('#sk30' @ Y1 @ Y2) & 45.57/7.21 ('#sk30' @ Y0 @ Y1))) => 45.57/7.21 ('#sk30' @ Y0 @ Y2)))))))))))))) 45.57/7.21 | ('#sk30' @ '#sk10' @ '#sk12') 45.57/7.21 | ('#form9') 45.57/7.21 | ('#form94'))), 45.57/7.21 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl380])). 45.57/7.21 thf(zip_derived_cl80, plain, 45.57/7.21 ((~ ('#sk30' @ '#sk10' @ '#sk12') | ('#form9'))), 45.57/7.21 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl67])). 45.57/7.21 thf(zip_derived_cl382, plain, 45.57/7.21 (( ('#form94') 45.57/7.21 | ('#form9') 45.57/7.21 | ~ (((((!!) @ (^[Y0 : a]: 45.57/7.21 (((!!) @ (^[Y1 : a]: 45.57/7.21 ((('#sk1' @ Y0 @ Y1) => ('#sk30' @ Y0 @ 45.57/7.21 Y1))))))))) & 45.57/7.21 (((!!) @ (^[Y0 : a]: 45.57/7.21 (((!!) @ (^[Y1 : a]: 45.57/7.21 (((!!) @ (^[Y2 : a]: 45.57/7.21 ((((('#sk30' @ Y1 @ Y2) & 45.57/7.21 ('#sk30' @ Y0 @ Y1))) => 45.57/7.21 ('#sk30' @ Y0 @ Y2)))))))))))))))), 45.57/7.21 inference('clc', [status(thm)], [zip_derived_cl381, zip_derived_cl80])). 45.57/7.21 thf(zip_derived_cl383, plain, 45.57/7.21 ((~ (((!!) @ (^[Y0 : a]: 45.57/7.21 (((!!) @ (^[Y1 : a]: 45.57/7.21 ((('#sk1' @ Y0 @ Y1) => ('#sk30' @ Y0 @ Y1))))))))) 45.57/7.21 | ~ (((!!) @ (^[Y0 : a]: 45.57/7.21 (((!!) @ (^[Y1 : a]: 45.57/7.21 (((!!) @ (^[Y2 : a]: 45.57/7.21 ((((('#sk30' @ Y1 @ Y2) & 45.57/7.21 ('#sk30' @ Y0 @ Y1))) => 45.57/7.21 ('#sk30' @ Y0 @ Y2)))))))))))) 45.57/7.21 | ('#form9') 45.57/7.21 | ('#form94'))), 45.57/7.21 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl382])). 45.57/7.21 thf(zip_derived_cl73, plain, 45.57/7.21 (![X2 : a > a > $o]: 45.57/7.21 ( (((((((!!) @ (^[Y0 : a]: 45.57/7.21 (((!!) @ (^[Y1 : a]: 45.57/7.21 ((('#sk1' @ Y0 @ Y1) => (X2 @ Y0 @ Y1))))))))) & 45.57/7.21 (((!!) @ (^[Y0 : a]: 45.57/7.21 (((!!) @ (^[Y1 : a]: 45.57/7.21 (((!!) @ (^[Y2 : a]: 45.57/7.21 (((((X2 @ Y1 @ Y2) & (X2 @ 45.57/7.21 Y0 @ Y1))) => 45.57/7.21 (X2 @ Y0 @ Y2)))))))))))))) => 45.57/7.21 (X2 @ '#sk10' @ '#sk12'))) 45.57/7.21 | ('#form9') 45.57/7.21 | (((!!) @ (^[Y0 : a > a > $o]: 45.57/7.21 (((((((!!) @ (^[Y1 : a]: 45.57/7.21 (((!!) @ (^[Y2 : a]: 45.57/7.21 ((('#sk2' @ Y1 @ Y2) => 45.57/7.21 (Y0 @ Y1 @ Y2))))))))) & 45.57/7.21 (((!!) @ (^[Y1 : a]: 45.57/7.21 (((!!) @ (^[Y2 : a]: 45.57/7.21 (((!!) @ (^[Y3 : a]: 45.57/7.21 (((((Y0 @ 45.57/7.21 Y1 @ Y2) & 45.57/7.21 (Y0 @ 45.57/7.21 Y2 @ Y3))) => 45.57/7.21 (Y0 @ Y1 @ 45.57/7.21 Y3)))))))))))))) => 45.57/7.21 (Y0 @ '#sk10' @ '#sk12')))))))), 45.57/7.21 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl63])). 45.57/7.21 thf(zip_derived_cl86, plain, 45.57/7.21 ((~ ('#form94') 45.57/7.21 | (((!!) @ (^[Y0 : a > a > $o]: 45.57/7.21 (((((((!!) @ (^[Y1 : a]: 45.57/7.21 (((!!) @ (^[Y2 : a]: 45.57/7.21 ((('#sk2' @ Y1 @ Y2) => 45.57/7.21 (Y0 @ Y1 @ Y2))))))))) & 45.57/7.21 (((!!) @ (^[Y1 : a]: 45.57/7.21 (((!!) @ (^[Y2 : a]: 45.57/7.21 (((!!) @ (^[Y3 : a]: 45.57/7.21 (((((Y0 @ Y1 @ 45.57/7.21 Y2) & (Y0 @ 45.57/7.21 Y2 @ Y3))) => 45.57/7.21 (Y0 @ Y1 @ Y3)))))))))))))) => 45.57/7.21 (Y0 @ '#sk10' @ '#sk12')))))))), 45.57/7.21 define([status(thm)])). 45.57/7.21 thf(zip_derived_cl93, plain, 45.57/7.21 (![X2 : a > a > $o]: 45.57/7.21 ( ('#form94') 45.57/7.21 | ('#form9') 45.57/7.21 | (((((((!!) @ (^[Y0 : a]: 45.57/7.21 (((!!) @ (^[Y1 : a]: 45.57/7.21 ((('#sk1' @ Y0 @ Y1) => (X2 @ Y0 @ Y1))))))))) & 45.57/7.21 (((!!) @ (^[Y0 : a]: 45.57/7.21 (((!!) @ (^[Y1 : a]: 45.57/7.21 (((!!) @ (^[Y2 : a]: 45.57/7.21 (((((X2 @ Y1 @ Y2) & 45.57/7.21 (X2 @ Y0 @ Y1))) => 45.57/7.21 (X2 @ Y0 @ Y2)))))))))))))) => 45.57/7.21 (X2 @ '#sk10' @ '#sk12'))))), 45.57/7.21 inference('renaming', [status(thm)], [zip_derived_cl73, zip_derived_cl86])). 45.57/7.21 thf(zip_derived_cl102, plain, 45.57/7.21 (![X2 : a > a > $o]: 45.57/7.21 (~ (((((!!) @ (^[Y0 : a]: 45.57/7.21 (((!!) @ (^[Y1 : a]: 45.57/7.21 ((('#sk1' @ Y0 @ Y1) => (X2 @ Y0 @ Y1))))))))) & 45.57/7.21 (((!!) @ (^[Y0 : a]: 45.57/7.21 (((!!) @ (^[Y1 : a]: 45.57/7.21 (((!!) @ (^[Y2 : a]: 45.57/7.21 (((((X2 @ Y1 @ Y2) & (X2 @ 45.57/7.21 Y0 @ Y1))) => 45.57/7.21 (X2 @ Y0 @ Y2)))))))))))))) 45.57/7.21 | (X2 @ '#sk10' @ '#sk12') 45.57/7.21 | ('#form9') 45.57/7.21 | ('#form94'))), 45.57/7.21 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl93])). 45.57/7.21 thf(zip_derived_cl112, plain, 45.57/7.21 (![X2 : a > a > $o]: 45.57/7.21 (~ (((!!) @ (^[Y0 : a]: 45.57/7.21 (((!!) @ (^[Y1 : a]: 45.57/7.21 ((('#sk1' @ Y0 @ Y1) => (X2 @ Y0 @ Y1))))))))) 45.57/7.21 | ~ (((!!) @ (^[Y0 : a]: 45.57/7.21 (((!!) @ (^[Y1 : a]: 45.57/7.21 (((!!) @ (^[Y2 : a]: 45.57/7.21 (((((X2 @ Y1 @ Y2) & (X2 @ 45.57/7.21 Y0 @ Y1))) => 45.57/7.21 (X2 @ Y0 @ Y2)))))))))))) 45.57/7.21 | ('#form94') 45.57/7.21 | ('#form9') 45.57/7.21 | (X2 @ '#sk10' @ '#sk12'))), 45.57/7.21 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl102])). 45.57/7.21 thf(zip_derived_cl124, plain, 45.57/7.21 (![X2 : a > a > $o]: 45.57/7.21 ( ('#form279' @ X2) 45.57/7.21 | ~ (((!!) @ (^[Y0 : a]: 45.57/7.21 (((!!) @ (^[Y1 : a]: 45.57/7.21 (((!!) @ (^[Y2 : a]: 45.57/7.21 (((((X2 @ Y1 @ Y2) & (X2 @ 45.57/7.21 Y0 @ Y1))) => 45.57/7.21 (X2 @ Y0 @ Y2)))))))))))))), 45.57/7.21 define([status(thm)])). 45.57/7.21 thf(zip_derived_cl384, plain, 45.57/7.21 ((~ ('#form279' @ '#sk30') 45.57/7.21 | ('#form94') 45.57/7.21 | ('#form9') 45.57/7.21 | ~ (((!!) @ (^[Y0 : a]: 45.57/7.21 (((!!) @ (^[Y1 : a]: 45.57/7.21 ((('#sk1' @ Y0 @ Y1) => ('#sk30' @ Y0 @ Y1))))))))))), 45.57/7.21 inference('renaming', [status(thm)], 45.57/7.21 [zip_derived_cl383, zip_derived_cl124])). 45.57/7.21 thf(zip_derived_cl385, plain, 45.57/7.21 ((~ (((!!) @ (^[Y0 : a]: 45.57/7.21 ((('#sk1' @ ('#sk362' @ '#sk30') @ Y0) => ('#sk30' @ 45.57/7.21 ('#sk362' @ '#sk30') @ Y0)))))) 45.57/7.21 | ('#form9') 45.57/7.21 | ('#form94') 45.57/7.21 | ~ ('#form279' @ '#sk30'))), 45.57/7.21 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl384])). 45.57/7.21 thf(zip_derived_cl386, plain, 45.57/7.21 ((~ ((('#sk1' @ ('#sk362' @ '#sk30') @ ('#sk475' @ '#sk30')) => 45.57/7.21 ('#sk30' @ ('#sk362' @ '#sk30') @ ('#sk475' @ '#sk30')))) 45.57/7.21 | ~ ('#form279' @ '#sk30') 45.57/7.21 | ('#form94') 45.57/7.21 | ('#form9'))), 45.57/7.21 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl385])). 45.57/7.21 thf(zip_derived_cl387, plain, 45.57/7.21 (( ('#sk1' @ ('#sk362' @ '#sk30') @ ('#sk475' @ '#sk30')) 45.57/7.21 | ('#form9') 45.57/7.21 | ('#form94') 45.57/7.21 | ~ ('#form279' @ '#sk30'))), 45.57/7.21 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl386])). 45.57/7.21 thf(zip_derived_cl388, plain, 45.57/7.21 ((~ ('#sk30' @ ('#sk362' @ '#sk30') @ ('#sk475' @ '#sk30')) 45.57/7.21 | ('#form9') 45.57/7.21 | ('#form94') 45.57/7.21 | ~ ('#form279' @ '#sk30'))), 45.57/7.21 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl386])). 45.57/7.21 thf(zip_derived_cl142, plain, 45.57/7.21 (![X2 : a, X4 : a]: 45.57/7.21 (~ ('#sk1' @ X2 @ X4) | ('#form9') | ('#sk30' @ X2 @ X4))), 45.57/7.21 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl129])). 45.57/7.21 thf(zip_derived_cl124, plain, 45.57/7.21 (![X2 : a > a > $o]: 45.57/7.21 ( ('#form279' @ X2) 45.57/7.21 | ~ (((!!) @ (^[Y0 : a]: 45.57/7.21 (((!!) @ (^[Y1 : a]: 45.57/7.21 (((!!) @ (^[Y2 : a]: 45.57/7.21 (((((X2 @ Y1 @ Y2) & (X2 @ 45.57/7.21 Y0 @ Y1))) => 45.57/7.21 (X2 @ Y0 @ Y2)))))))))))))), 45.57/7.21 define([status(thm)])). 45.57/7.21 thf(zip_derived_cl125, plain, 45.57/7.21 (![X2 : a > a > $o]: 45.57/7.21 (~ (((!!) @ (^[Y0 : a]: 45.57/7.21 (((!!) @ (^[Y1 : a]: 45.57/7.21 (((((X2 @ Y0 @ Y1) & (X2 @ 45.57/7.21 ('#sk103' @ X2) @ Y0))) => 45.57/7.21 (X2 @ ('#sk103' @ X2) @ Y1))))))))) 45.57/7.21 | ('#form279' @ X2))), 45.57/7.21 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl124])). 45.57/7.21 thf(zip_derived_cl138, plain, 45.57/7.21 (![X2 : a > a > $o]: 45.57/7.21 (~ (((!!) @ (^[Y0 : a]: 45.57/7.21 (((((X2 @ ('#sk157' @ X2) @ Y0) & (X2 @ 45.57/7.21 ('#sk103' @ X2) @ ('#sk157' @ X2)))) => 45.57/7.21 (X2 @ ('#sk103' @ X2) @ Y0)))))) 45.57/7.21 | ('#form279' @ X2))), 45.57/7.21 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl125])). 45.57/7.21 thf(zip_derived_cl155, plain, 45.57/7.21 (![X2 : a > a > $o]: 45.57/7.21 (~ (((((X2 @ ('#sk157' @ X2) @ ('#sk225' @ X2)) & (X2 @ 45.57/7.21 ('#sk103' @ X2) @ ('#sk157' @ X2)))) => 45.57/7.21 (X2 @ ('#sk103' @ X2) @ ('#sk225' @ X2)))) 45.57/7.21 | ('#form279' @ X2))), 45.57/7.21 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl138])). 45.57/7.21 thf(zip_derived_cl168, plain, 45.57/7.21 (![X2 : a > a > $o]: 45.57/7.21 ( (((X2 @ ('#sk157' @ X2) @ ('#sk225' @ X2)) & (X2 @ 45.57/7.21 ('#sk103' @ X2) @ ('#sk157' @ X2)))) 45.57/7.21 | ('#form279' @ X2))), 45.57/7.21 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl155])). 45.57/7.21 thf(zip_derived_cl179, plain, 45.57/7.21 (![X2 : a > a > $o]: 45.57/7.21 ( (X2 @ ('#sk103' @ X2) @ ('#sk157' @ X2)) | ('#form279' @ X2))), 45.57/7.21 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl168])). 45.57/7.21 thf(zip_derived_cl26, plain, 45.57/7.21 (( (((!!) @ (^[Y0 : a > a > $o]: 45.57/7.21 (((((((!!) @ (^[Y1 : a]: 45.57/7.21 (((!!) @ (^[Y2 : a]: 45.57/7.21 ((((('#sk2' @ Y1 @ Y2) | 45.57/7.21 ('#sk1' @ Y1 @ Y2))) => 45.57/7.21 (Y0 @ Y1 @ Y2))))))))) & 45.57/7.21 (((!!) @ (^[Y1 : a]: 45.57/7.21 (((!!) @ (^[Y2 : a]: 45.57/7.21 (((!!) @ (^[Y3 : a]: 45.57/7.21 (((((Y0 @ Y2 @ 45.57/7.21 Y3) & (Y0 @ 45.57/7.21 Y1 @ Y2))) => 45.57/7.21 (Y0 @ Y1 @ Y3)))))))))))))) => 45.57/7.21 (Y0 @ '#sk6' @ '#sk7')))))) 45.57/7.21 | (((!!) @ (^[Y0 : a > a > $o]: 45.57/7.21 (((((((!!) @ (^[Y1 : a]: 45.57/7.21 (((!!) @ (^[Y2 : a]: 45.57/7.21 ((((('#sk1' @ Y1 @ Y2) | 45.57/7.21 ('#sk2' @ Y1 @ Y2))) => 45.57/7.21 (Y0 @ Y1 @ Y2))))))))) & 45.57/7.21 (((!!) @ (^[Y1 : a]: 45.57/7.21 (((!!) @ (^[Y2 : a]: 45.57/7.21 (((!!) @ (^[Y3 : a]: 45.57/7.21 (((((Y0 @ Y1 @ 45.57/7.21 Y2) & (Y0 @ 45.57/7.21 Y2 @ Y3))) => 45.57/7.21 (Y0 @ Y1 @ Y3)))))))))))))) => 45.57/7.21 (Y0 @ '#sk3' @ '#sk4')))))) 45.57/7.21 | ~ (((!!) @ (^[Y0 : a]: 45.57/7.21 (((!!) @ (^[Y1 : a]: 45.57/7.21 (((((((!!) @ (^[Y2 : a > a > $o]: 45.57/7.21 (((((((!!) @ (^[Y3 : a]: 45.57/7.21 (((!!) @ ( 45.57/7.21 ^[Y4 : a]: 45.57/7.21 (( 45.57/7.21 ('#sk1' @ 45.57/7.21 Y3 @ 45.57/7.21 Y4) => 45.57/7.21 (Y2 @ 45.57/7.21 Y3 @ Y4))))))))) & 45.57/7.21 (((!!) @ (^[Y3 : a]: 45.57/7.21 (((!!) @ ( 45.57/7.21 ^[Y4 : a]: 45.57/7.21 (( 45.57/7.21 (!!) @ ( 45.57/7.21 ^[Y5 : a]: 45.57/7.21 (( 45.57/7.21 (( 45.57/7.21 (Y2 @ 45.57/7.21 Y4 @ 45.57/7.21 Y5) & 45.57/7.21 (Y2 @ 45.57/7.21 Y3 @ Y4))) => 45.57/7.21 (Y2 @ 45.57/7.21 Y3 @ Y5)))))))))))))) => 45.57/7.21 (Y2 @ Y0 @ Y1)))))) | 45.57/7.21 (((!!) @ (^[Y2 : a > a > $o]: 45.57/7.21 (((((((!!) @ (^[Y3 : a]: 45.57/7.21 (((!!) @ ( 45.57/7.21 ^[Y4 : a]: 45.57/7.21 (( 45.57/7.21 ('#sk2' @ 45.57/7.21 Y3 @ 45.57/7.21 Y4) => 45.57/7.21 (Y2 @ 45.57/7.21 Y3 @ Y4))))))))) & 45.57/7.21 (((!!) @ (^[Y3 : a]: 45.57/7.21 (((!!) @ ( 45.57/7.21 ^[Y4 : a]: 45.57/7.21 (( 45.57/7.21 (!!) @ ( 45.57/7.21 ^[Y5 : a]: 45.57/7.21 (( 45.57/7.21 (( 45.57/7.21 (Y2 @ 45.57/7.21 Y3 @ 45.57/7.21 Y4) & 45.57/7.21 (Y2 @ 45.57/7.21 Y4 @ Y5))) => 45.57/7.21 (Y2 @ 45.57/7.21 Y3 @ Y5)))))))))))))) => 45.57/7.21 (Y2 @ Y0 @ Y1)))))))) => 45.57/7.21 (((!!) @ (^[Y2 : a > a > $o]: 45.57/7.21 (((((((!!) @ (^[Y3 : a]: 45.57/7.21 (((!!) @ ( 45.57/7.21 ^[Y4 : a]: 45.57/7.21 ( 45.57/7.21 ( 45.57/7.21 (!!) @ ( 45.57/7.21 ^[Y5 : a]: 45.57/7.21 (( 45.57/7.21 (( 45.57/7.21 (Y2 @ 45.57/7.21 Y4 @ 45.57/7.21 Y5) & 45.57/7.21 (Y2 @ 45.57/7.21 Y3 @ Y4))) => 45.57/7.21 (Y2 @ 45.57/7.21 Y3 @ Y5)))))))))))) & 45.57/7.21 (((!!) @ (^[Y3 : a]: 45.57/7.21 (((!!) @ ( 45.57/7.21 ^[Y4 : a]: 45.57/7.21 ( 45.57/7.21 ( 45.57/7.21 (( 45.57/7.21 ('#sk2' @ 45.57/7.21 Y3 @ 45.57/7.21 Y4) | 45.57/7.21 ('#sk1' @ 45.57/7.21 Y3 @ Y4))) => 45.57/7.21 (Y2 @ 45.57/7.21 Y3 @ Y4))))))))))) => 45.57/7.21 (Y2 @ Y0 @ Y1)))))))))))))))), 45.57/7.21 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl21])). 45.57/7.21 thf(zip_derived_cl33, plain, 45.57/7.21 ((~ ('#form11') 45.57/7.21 | (((!!) @ (^[Y0 : a > a > $o]: 45.57/7.21 (((((((!!) @ (^[Y1 : a]: 45.57/7.21 (((!!) @ (^[Y2 : a]: 45.57/7.21 ((((('#sk1' @ Y1 @ Y2) | 45.57/7.21 ('#sk2' @ Y1 @ Y2))) => 45.57/7.21 (Y0 @ Y1 @ Y2))))))))) & 45.57/7.21 (((!!) @ (^[Y1 : a]: 45.57/7.21 (((!!) @ (^[Y2 : a]: 45.57/7.21 (((!!) @ (^[Y3 : a]: 45.57/7.21 (((((Y0 @ Y1 @ 45.57/7.21 Y2) & (Y0 @ 45.57/7.21 Y2 @ Y3))) => 45.57/7.21 (Y0 @ Y1 @ Y3)))))))))))))) => 45.57/7.21 (Y0 @ '#sk3' @ '#sk4')))))))), 45.57/7.21 define([status(thm)])). 45.57/7.21 thf(zip_derived_cl39, plain, 45.57/7.21 (( ('#form11') 45.57/7.21 | ~ (((!!) @ (^[Y0 : a]: 45.57/7.21 (((!!) @ (^[Y1 : a]: 45.57/7.21 (((((((!!) @ (^[Y2 : a > a > $o]: 45.57/7.21 (((((((!!) @ (^[Y3 : a]: 45.57/7.21 (((!!) @ ( 45.57/7.21 ^[Y4 : a]: 45.57/7.21 (( 45.57/7.21 ('#sk1' @ 45.57/7.21 Y3 @ 45.57/7.21 Y4) => 45.57/7.21 (Y2 @ 45.57/7.21 Y3 @ Y4))))))))) & 45.57/7.21 (((!!) @ (^[Y3 : a]: 45.57/7.21 (((!!) @ ( 45.57/7.21 ^[Y4 : a]: 45.57/7.21 (( 45.57/7.21 (!!) @ ( 45.57/7.21 ^[Y5 : a]: 45.57/7.21 (( 45.57/7.21 (( 45.57/7.21 (Y2 @ 45.57/7.21 Y4 @ 45.57/7.21 Y5) & 45.57/7.21 (Y2 @ 45.57/7.21 Y3 @ Y4))) => 45.57/7.21 (Y2 @ 45.57/7.21 Y3 @ Y5)))))))))))))) => 45.57/7.21 (Y2 @ Y0 @ Y1)))))) | 45.57/7.21 (((!!) @ (^[Y2 : a > a > $o]: 45.57/7.21 (((((((!!) @ (^[Y3 : a]: 45.57/7.21 (((!!) @ ( 45.57/7.21 ^[Y4 : a]: 45.57/7.21 (( 45.57/7.21 ('#sk2' @ 45.57/7.21 Y3 @ 45.57/7.21 Y4) => 45.57/7.21 (Y2 @ 45.57/7.21 Y3 @ Y4))))))))) & 45.57/7.21 (((!!) @ (^[Y3 : a]: 45.57/7.21 (((!!) @ ( 45.57/7.21 ^[Y4 : a]: 45.57/7.21 (( 45.57/7.21 (!!) @ ( 45.57/7.21 ^[Y5 : a]: 45.57/7.21 (( 45.57/7.21 (( 45.57/7.21 (Y2 @ 45.57/7.21 Y3 @ 45.57/7.21 Y4) & 45.57/7.21 (Y2 @ 45.57/7.21 Y4 @ Y5))) => 45.57/7.21 (Y2 @ 45.57/7.21 Y3 @ Y5)))))))))))))) => 45.57/7.21 (Y2 @ Y0 @ Y1)))))))) => 45.57/7.21 (((!!) @ (^[Y2 : a > a > $o]: 45.57/7.21 (((((((!!) @ (^[Y3 : a]: 45.57/7.21 (((!!) @ ( 45.57/7.21 ^[Y4 : a]: 45.57/7.21 ( 45.57/7.21 ( 45.57/7.21 (!!) @ ( 45.57/7.21 ^[Y5 : a]: 45.57/7.21 (( 45.57/7.21 (( 45.57/7.21 (Y2 @ 45.57/7.21 Y4 @ 45.57/7.21 Y5) & 45.57/7.21 (Y2 @ 45.57/7.21 Y3 @ Y4))) => 45.57/7.21 (Y2 @ 45.57/7.21 Y3 @ Y5)))))))))))) & 45.57/7.21 (((!!) @ (^[Y3 : a]: 45.57/7.21 (((!!) @ ( 45.57/7.21 ^[Y4 : a]: 45.57/7.21 ( 45.57/7.21 ( 45.57/7.21 (( 45.57/7.21 ('#sk2' @ 45.57/7.21 Y3 @ 45.57/7.21 Y4) | 45.57/7.21 ('#sk1' @ 45.57/7.21 Y3 @ Y4))) => 45.57/7.21 (Y2 @ 45.57/7.21 Y3 @ Y4))))))))))) => 45.57/7.21 (Y2 @ Y0 @ Y1)))))))))))))) 45.57/7.21 | (((!!) @ (^[Y0 : a > a > $o]: 45.57/7.21 (((((((!!) @ (^[Y1 : a]: 45.57/7.21 (((!!) @ (^[Y2 : a]: 45.57/7.21 ((((('#sk2' @ Y1 @ Y2) | 45.57/7.21 ('#sk1' @ Y1 @ Y2))) => 45.57/7.21 (Y0 @ Y1 @ Y2))))))))) & 45.57/7.21 (((!!) @ (^[Y1 : a]: 45.57/7.21 (((!!) @ (^[Y2 : a]: 45.57/7.21 (((!!) @ (^[Y3 : a]: 45.57/7.21 (((((Y0 @ Y2 @ 45.57/7.21 Y3) & (Y0 @ 45.57/7.21 Y1 @ Y2))) => 45.57/7.21 (Y0 @ Y1 @ Y3)))))))))))))) => 45.57/7.21 (Y0 @ '#sk6' @ '#sk7')))))))), 45.57/7.21 inference('renaming', [status(thm)], [zip_derived_cl26, zip_derived_cl33])). 45.57/7.21 thf(zip_derived_cl27, plain, 45.57/7.21 (( ('#form9') 45.57/7.21 | ~ (((!!) @ (^[Y0 : a]: 45.57/7.21 (((!!) @ (^[Y1 : a]: 45.57/7.21 (((((((!!) @ (^[Y2 : a > a > $o]: 45.57/7.21 (((((((!!) @ (^[Y3 : a]: 45.57/7.21 (((!!) @ ( 45.57/7.21 ^[Y4 : a]: 45.57/7.21 (( 45.57/7.21 ('#sk1' @ 45.57/7.21 Y3 @ 45.57/7.21 Y4) => 45.57/7.21 (Y2 @ 45.57/7.21 Y3 @ Y4))))))))) & 45.57/7.21 (((!!) @ (^[Y3 : a]: 45.57/7.21 (((!!) @ ( 45.57/7.21 ^[Y4 : a]: 45.57/7.21 (( 45.57/7.21 (!!) @ ( 45.57/7.21 ^[Y5 : a]: 45.57/7.21 (( 45.57/7.21 (( 45.57/7.21 (Y2 @ 45.57/7.21 Y4 @ 45.57/7.21 Y5) & 45.57/7.21 (Y2 @ 45.57/7.21 Y3 @ Y4))) => 45.57/7.21 (Y2 @ 45.57/7.21 Y3 @ Y5)))))))))))))) => 45.57/7.21 (Y2 @ Y0 @ Y1)))))) | 45.57/7.21 (((!!) @ (^[Y2 : a > a > $o]: 45.57/7.21 (((((((!!) @ (^[Y3 : a]: 45.57/7.21 (((!!) @ ( 45.57/7.21 ^[Y4 : a]: 45.57/7.21 (( 45.57/7.21 ('#sk2' @ 45.57/7.21 Y3 @ 45.57/7.21 Y4) => 45.57/7.21 (Y2 @ 45.57/7.21 Y3 @ Y4))))))))) & 45.57/7.21 (((!!) @ (^[Y3 : a]: 45.57/7.21 (((!!) @ ( 45.57/7.21 ^[Y4 : a]: 45.57/7.21 (( 45.57/7.21 (!!) @ ( 45.57/7.21 ^[Y5 : a]: 45.57/7.21 (( 45.57/7.21 (( 45.57/7.21 (Y2 @ 45.57/7.21 Y3 @ 45.57/7.21 Y4) & 45.57/7.21 (Y2 @ 45.57/7.21 Y4 @ Y5))) => 45.57/7.21 (Y2 @ 45.57/7.21 Y3 @ Y5)))))))))))))) => 45.57/7.21 (Y2 @ Y0 @ Y1)))))))) => 45.57/7.21 (((!!) @ (^[Y2 : a > a > $o]: 45.57/7.21 (((((((!!) @ (^[Y3 : a]: 45.57/7.21 (((!!) @ ( 45.57/7.21 ^[Y4 : a]: 45.57/7.21 ( 45.57/7.21 ( 45.57/7.21 (!!) @ ( 45.57/7.21 ^[Y5 : a]: 45.57/7.21 (( 45.57/7.21 (( 45.57/7.21 (Y2 @ 45.57/7.21 Y4 @ 45.57/7.21 Y5) & 45.57/7.21 (Y2 @ 45.57/7.21 Y3 @ Y4))) => 45.57/7.21 (Y2 @ 45.57/7.21 Y3 @ Y5)))))))))))) & 45.57/7.21 (((!!) @ (^[Y3 : a]: 45.57/7.21 (((!!) @ ( 45.57/7.21 ^[Y4 : a]: 45.57/7.21 ( 45.57/7.21 ( 45.57/7.21 (( 45.57/7.21 ('#sk2' @ 45.57/7.21 Y3 @ 45.57/7.21 Y4) | 45.57/7.21 ('#sk1' @ 45.57/7.21 Y3 @ Y4))) => 45.57/7.21 (Y2 @ 45.57/7.21 Y3 @ Y4))))))))))) => 45.57/7.21 (Y2 @ Y0 @ Y1)))))))))))))))), 45.57/7.21 define([status(thm)])). 45.57/7.21 thf(zip_derived_cl45, plain, 45.57/7.21 ((~ ('#form9') 45.57/7.21 | (((!!) @ (^[Y0 : a > a > $o]: 45.57/7.21 (((((((!!) @ (^[Y1 : a]: 45.57/7.21 (((!!) @ (^[Y2 : a]: 45.57/7.21 ((((('#sk2' @ Y1 @ Y2) | 45.57/7.21 ('#sk1' @ Y1 @ Y2))) => 45.57/7.21 (Y0 @ Y1 @ Y2))))))))) & 45.57/7.21 (((!!) @ (^[Y1 : a]: 45.57/7.21 (((!!) @ (^[Y2 : a]: 45.57/7.21 (((!!) @ (^[Y3 : a]: 45.57/7.21 (((((Y0 @ Y2 @ 45.57/7.21 Y3) & (Y0 @ 45.57/7.21 Y1 @ Y2))) => 45.57/7.21 (Y0 @ Y1 @ Y3)))))))))))))) => 45.57/7.21 (Y0 @ '#sk6' @ '#sk7')))))) 45.57/7.21 | ('#form11'))), 45.57/7.21 inference('renaming', [status(thm)], [zip_derived_cl39, zip_derived_cl27])). 45.57/7.21 thf(zip_derived_cl56, plain, 45.57/7.21 (![X2 : a > a > $o]: 45.57/7.21 ( (((((((!!) @ (^[Y0 : a]: 45.57/7.21 (((!!) @ (^[Y1 : a]: 45.57/7.21 ((((('#sk2' @ Y0 @ Y1) | ('#sk1' @ Y0 @ 45.57/7.21 Y1))) => 45.57/7.21 (X2 @ Y0 @ Y1))))))))) & 45.57/7.21 (((!!) @ (^[Y0 : a]: 45.57/7.21 (((!!) @ (^[Y1 : a]: 45.57/7.21 (((!!) @ (^[Y2 : a]: 45.57/7.21 (((((X2 @ Y1 @ Y2) & (X2 @ 45.57/7.21 Y0 @ Y1))) => 45.57/7.21 (X2 @ Y0 @ Y2)))))))))))))) => 45.57/7.21 (X2 @ '#sk6' @ '#sk7'))) 45.57/7.21 | ('#form11') 45.57/7.21 | ~ ('#form9'))), 45.57/7.21 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl45])). 45.57/7.21 thf(zip_derived_cl70, plain, 45.57/7.21 (![X2 : a > a > $o]: 45.57/7.21 (~ (((((!!) @ (^[Y0 : a]: 45.57/7.21 (((!!) @ (^[Y1 : a]: 45.57/7.21 ((((('#sk2' @ Y0 @ Y1) | ('#sk1' @ Y0 @ 45.57/7.21 Y1))) => 45.57/7.21 (X2 @ Y0 @ Y1))))))))) & 45.57/7.21 (((!!) @ (^[Y0 : a]: 45.57/7.21 (((!!) @ (^[Y1 : a]: 45.57/7.21 (((!!) @ (^[Y2 : a]: 45.57/7.21 (((((X2 @ Y1 @ Y2) & (X2 @ 45.57/7.21 Y0 @ Y1))) => 45.57/7.21 (X2 @ Y0 @ Y2)))))))))))))) 45.57/7.21 | (X2 @ '#sk6' @ '#sk7') 45.57/7.21 | ~ ('#form9') 45.57/7.21 | ('#form11'))), 45.57/7.21 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl56])). 45.57/7.21 thf(zip_derived_cl83, plain, 45.57/7.21 (![X2 : a > a > $o]: 45.57/7.21 (~ (((!!) @ (^[Y0 : a]: 45.57/7.21 (((!!) @ (^[Y1 : a]: 45.57/7.21 ((((('#sk2' @ Y0 @ Y1) | ('#sk1' @ Y0 @ Y1))) => 45.57/7.21 (X2 @ Y0 @ Y1))))))))) 45.57/7.21 | ~ (((!!) @ (^[Y0 : a]: 45.57/7.21 (((!!) @ (^[Y1 : a]: 45.57/7.21 (((!!) @ (^[Y2 : a]: 45.57/7.21 (((((X2 @ Y1 @ Y2) & (X2 @ 45.57/7.21 Y0 @ Y1))) => 45.57/7.21 (X2 @ Y0 @ Y2)))))))))))) 45.57/7.21 | ('#form11') 45.57/7.21 | ~ ('#form9') 45.57/7.21 | (X2 @ '#sk6' @ '#sk7'))), 45.57/7.21 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl70])). 45.57/7.21 thf(zip_derived_cl99, plain, 45.57/7.21 (![X2 : a > a > $o]: 45.57/7.21 (~ (((!!) @ (^[Y0 : a]: 45.57/7.21 ((((('#sk2' @ ('#sk130' @ X2) @ Y0) | ('#sk1' @ 45.57/7.21 ('#sk130' @ X2) @ Y0))) => 45.57/7.21 (X2 @ ('#sk130' @ X2) @ Y0)))))) 45.57/7.21 | (X2 @ '#sk6' @ '#sk7') 45.57/7.21 | ~ ('#form9') 45.57/7.21 | ('#form11') 45.57/7.21 | ~ (((!!) @ (^[Y0 : a]: 45.57/7.21 (((!!) @ (^[Y1 : a]: 45.57/7.21 (((!!) @ (^[Y2 : a]: 45.57/7.21 (((((X2 @ Y1 @ Y2) & (X2 @ 45.57/7.21 Y0 @ Y1))) => 45.57/7.21 (X2 @ Y0 @ Y2)))))))))))))), 45.57/7.21 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl83])). 45.57/7.21 thf(zip_derived_cl109, plain, 45.57/7.21 (![X2 : a > a > $o]: 45.57/7.21 (~ ((((('#sk2' @ ('#sk130' @ X2) @ ('#sk196' @ X2)) | ('#sk1' @ 45.57/7.21 ('#sk130' @ X2) @ ('#sk196' @ X2)))) => 45.57/7.21 (X2 @ ('#sk130' @ X2) @ ('#sk196' @ X2)))) 45.57/7.21 | ~ (((!!) @ (^[Y0 : a]: 45.57/7.21 (((!!) @ (^[Y1 : a]: 45.57/7.21 (((!!) @ (^[Y2 : a]: 45.57/7.21 (((((X2 @ Y1 @ Y2) & (X2 @ 45.57/7.21 Y0 @ Y1))) => 45.57/7.21 (X2 @ Y0 @ Y2)))))))))))) 45.57/7.21 | ('#form11') 45.57/7.21 | ~ ('#form9') 45.57/7.21 | (X2 @ '#sk6' @ '#sk7'))), 45.57/7.21 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl99])). 45.57/7.21 thf(zip_derived_cl119, plain, 45.57/7.21 (![X2 : a > a > $o]: 45.57/7.21 ( ((('#sk2' @ ('#sk130' @ X2) @ ('#sk196' @ X2)) | ('#sk1' @ 45.57/7.21 ('#sk130' @ X2) @ ('#sk196' @ X2)))) 45.57/7.21 | (X2 @ '#sk6' @ '#sk7') 45.57/7.21 | ~ ('#form9') 45.57/7.21 | ('#form11') 45.57/7.21 | ~ (((!!) @ (^[Y0 : a]: 45.57/7.21 (((!!) @ (^[Y1 : a]: 45.57/7.21 (((!!) @ (^[Y2 : a]: 45.57/7.21 (((((X2 @ Y1 @ Y2) & (X2 @ 45.57/7.21 Y0 @ Y1))) => 45.57/7.21 (X2 @ Y0 @ Y2)))))))))))))), 45.57/7.21 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl109])). 45.57/7.21 thf(zip_derived_cl124, plain, 45.57/7.21 (![X2 : a > a > $o]: 45.57/7.21 ( ('#form279' @ X2) 45.57/7.21 | ~ (((!!) @ (^[Y0 : a]: 45.57/7.21 (((!!) @ (^[Y1 : a]: 45.57/7.21 (((!!) @ (^[Y2 : a]: 45.57/7.21 (((((X2 @ Y1 @ Y2) & (X2 @ 45.57/7.21 Y0 @ Y1))) => 45.57/7.21 (X2 @ Y0 @ Y2)))))))))))))), 45.57/7.21 define([status(thm)])). 45.57/7.21 thf(zip_derived_cl134, plain, 45.57/7.21 (![X2 : a > a > $o]: 45.57/7.21 (~ ('#form279' @ (^[Y0 : a,Y1 : a]: (X2 @ Y0 @ Y1))) 45.57/7.21 | ('#form11') 45.57/7.21 | ~ ('#form9') 45.57/7.21 | (X2 @ '#sk6' @ '#sk7') 45.57/7.21 | ((('#sk2' @ ('#sk130' @ X2) @ ('#sk196' @ X2)) | ('#sk1' @ 45.57/7.21 ('#sk130' @ X2) @ ('#sk196' @ X2)))))), 45.57/7.21 inference('renaming', [status(thm)], 45.57/7.21 [zip_derived_cl119, zip_derived_cl124])). 45.57/7.21 thf(zip_derived_cl151, plain, 45.57/7.21 (![X2 : a > a > $o]: 45.57/7.21 (~ ('#form279' @ X2) 45.57/7.21 | ('#form11') 45.57/7.21 | ~ ('#form9') 45.57/7.21 | (X2 @ '#sk6' @ '#sk7') 45.57/7.21 | ((('#sk2' @ ('#sk130' @ X2) @ ('#sk196' @ X2)) | ('#sk1' @ 45.57/7.21 ('#sk130' @ X2) @ ('#sk196' @ X2)))))), 45.57/7.21 inference('ho_norm', [status(thm)], [zip_derived_cl134])). 45.57/7.21 thf(zip_derived_cl152, plain, 45.57/7.21 (![X2 : a > a > $o]: 45.57/7.21 ( ('#sk2' @ ('#sk130' @ X2) @ ('#sk196' @ X2)) 45.57/7.21 | ('#sk1' @ ('#sk130' @ X2) @ ('#sk196' @ X2)) 45.57/7.21 | (X2 @ '#sk6' @ '#sk7') 45.57/7.21 | ~ ('#form9') 45.57/7.21 | ('#form11') 45.57/7.21 | ~ ('#form279' @ X2))), 45.57/7.21 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl151])). 45.57/7.21 thf(zip_derived_cl94, plain, 45.57/7.21 (( (((!!) @ (^[Y0 : a]: 45.57/7.21 (((!!) @ (^[Y1 : a]: 45.57/7.21 (((!!) @ (^[Y2 : a]: 45.57/7.21 ((((('#sk30' @ Y1 @ Y2) & 45.57/7.21 ('#sk30' @ Y0 @ Y1))) => 45.57/7.21 ('#sk30' @ Y0 @ Y2)))))))))))) 45.57/7.21 | ('#form9'))), 45.57/7.21 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl79])). 45.57/7.21 thf(zip_derived_cl104, plain, 45.57/7.21 (![X2 : a]: 45.57/7.21 ( (((!!) @ (^[Y0 : a]: 45.57/7.21 (((!!) @ (^[Y1 : a]: 45.57/7.21 ((((('#sk30' @ Y0 @ Y1) & ('#sk30' @ X2 @ 45.57/7.21 Y0))) => 45.57/7.21 ('#sk30' @ X2 @ Y1))))))))) 45.57/7.21 | ('#form9'))), 45.57/7.21 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl94])). 45.57/7.21 thf(zip_derived_cl114, plain, 45.57/7.21 (![X2 : a, X4 : a]: 45.57/7.21 ( (((!!) @ (^[Y0 : a]: 45.57/7.21 ((((('#sk30' @ X4 @ Y0) & ('#sk30' @ X2 @ X4))) => 45.57/7.21 ('#sk30' @ X2 @ Y0)))))) 45.57/7.21 | ('#form9'))), 45.57/7.21 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl104])). 45.57/7.21 thf(zip_derived_cl128, plain, 45.57/7.21 (![X2 : a, X4 : a, X6 : a]: 45.57/7.21 ( ((((('#sk30' @ X4 @ X6) & ('#sk30' @ X2 @ X4))) => ('#sk30' @ X2 @ 45.57/7.21 X6))) 45.57/7.21 | ('#form9'))), 45.57/7.21 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl114])). 45.57/7.21 thf(zip_derived_cl140, plain, 45.57/7.21 (![X2 : a, X4 : a, X6 : a]: 45.57/7.21 (~ ((('#sk30' @ X4 @ X6) & ('#sk30' @ X2 @ X4))) 45.57/7.21 | ('#sk30' @ X2 @ X6) 45.57/7.21 | ('#form9'))), 45.57/7.21 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl128])). 45.57/7.21 thf(zip_derived_cl158, plain, 45.57/7.21 (![X2 : a, X4 : a, X6 : a]: 45.57/7.21 (~ ('#sk30' @ X4 @ X6) 45.57/7.21 | ~ ('#sk30' @ X2 @ X4) 45.57/7.21 | ('#form9') 45.57/7.21 | ('#sk30' @ X2 @ X6))), 45.57/7.21 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl140])). 45.57/7.21 thf(zip_derived_cl178, plain, 45.57/7.21 (![X2 : a > a > $o]: 45.57/7.21 ( (X2 @ ('#sk157' @ X2) @ ('#sk225' @ X2)) | ('#form279' @ X2))), 45.57/7.21 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl168])). 45.57/7.21 thf(zip_derived_cl169, plain, 45.57/7.21 (![X2 : a > a > $o]: 45.57/7.21 (~ (X2 @ ('#sk103' @ X2) @ ('#sk225' @ X2)) | ('#form279' @ X2))), 45.57/7.21 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl155])). 45.57/7.21 thf(zip_derived_cl120, plain, 45.57/7.21 (![X2 : a > a > $o]: 45.57/7.21 (~ (X2 @ ('#sk130' @ X2) @ ('#sk196' @ X2)) 45.57/7.21 | (X2 @ '#sk6' @ '#sk7') 45.57/7.21 | ~ ('#form9') 45.57/7.21 | ('#form11') 45.57/7.21 | ~ (((!!) @ (^[Y0 : a]: 45.57/7.21 (((!!) @ (^[Y1 : a]: 45.57/7.21 (((!!) @ (^[Y2 : a]: 45.57/7.21 (((((X2 @ Y1 @ Y2) & (X2 @ 45.57/7.21 Y0 @ Y1))) => 45.57/7.21 (X2 @ Y0 @ Y2)))))))))))))), 45.57/7.21 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl109])). 45.57/7.21 thf(zip_derived_cl124, plain, 45.57/7.21 (![X2 : a > a > $o]: 45.57/7.21 ( ('#form279' @ X2) 45.57/7.21 | ~ (((!!) @ (^[Y0 : a]: 45.57/7.21 (((!!) @ (^[Y1 : a]: 45.57/7.21 (((!!) @ (^[Y2 : a]: 45.57/7.21 (((((X2 @ Y1 @ Y2) & (X2 @ 45.57/7.21 Y0 @ Y1))) => 45.57/7.21 (X2 @ Y0 @ Y2)))))))))))))), 45.57/7.21 define([status(thm)])). 45.57/7.21 thf(zip_derived_cl135, plain, 45.57/7.21 (![X2 : a > a > $o]: 45.57/7.21 (~ ('#form279' @ (^[Y0 : a,Y1 : a]: (X2 @ Y0 @ Y1))) 45.57/7.21 | ('#form11') 45.57/7.21 | ~ ('#form9') 45.57/7.21 | (X2 @ '#sk6' @ '#sk7') 45.57/7.21 | ~ (X2 @ ('#sk130' @ X2) @ ('#sk196' @ X2)))), 45.57/7.21 inference('renaming', [status(thm)], 45.57/7.21 [zip_derived_cl120, zip_derived_cl124])). 45.57/7.21 thf(zip_derived_cl153, plain, 45.57/7.21 (![X2 : a > a > $o]: 45.57/7.21 (~ ('#form279' @ X2) 45.57/7.21 | ('#form11') 45.57/7.21 | ~ ('#form9') 45.57/7.21 | (X2 @ '#sk6' @ '#sk7') 45.57/7.21 | ~ (X2 @ ('#sk130' @ X2) @ ('#sk196' @ X2)))), 45.57/7.21 inference('ho_norm', [status(thm)], [zip_derived_cl135])). 45.57/7.21 thf(zip_derived_cl33, plain, 45.57/7.21 ((~ ('#form11') 45.57/7.21 | (((!!) @ (^[Y0 : a > a > $o]: 45.57/7.21 (((((((!!) @ (^[Y1 : a]: 45.57/7.21 (((!!) @ (^[Y2 : a]: 45.57/7.21 ((((('#sk1' @ Y1 @ Y2) | 45.57/7.21 ('#sk2' @ Y1 @ Y2))) => 45.57/7.21 (Y0 @ Y1 @ Y2))))))))) & 45.57/7.21 (((!!) @ (^[Y1 : a]: 45.57/7.21 (((!!) @ (^[Y2 : a]: 45.57/7.21 (((!!) @ (^[Y3 : a]: 45.57/7.21 (((((Y0 @ Y1 @ 45.57/7.21 Y2) & (Y0 @ 45.57/7.21 Y2 @ Y3))) => 45.57/7.21 (Y0 @ Y1 @ Y3)))))))))))))) => 45.57/7.21 (Y0 @ '#sk3' @ '#sk4')))))))), 45.57/7.21 define([status(thm)])). 45.57/7.21 thf(zip_derived_cl34, plain, 45.57/7.21 (![X2 : a > a > $o]: 45.57/7.21 ( (((((((!!) @ (^[Y0 : a]: 45.57/7.21 (((!!) @ (^[Y1 : a]: 45.57/7.21 ((((('#sk1' @ Y0 @ Y1) | ('#sk2' @ Y0 @ 45.57/7.21 Y1))) => 45.57/7.21 (X2 @ Y0 @ Y1))))))))) & 45.57/7.21 (((!!) @ (^[Y0 : a]: 45.57/7.21 (((!!) @ (^[Y1 : a]: 45.57/7.21 (((!!) @ (^[Y2 : a]: 45.57/7.21 (((((X2 @ Y0 @ Y1) & (X2 @ 45.57/7.21 Y1 @ Y2))) => 45.57/7.21 (X2 @ Y0 @ Y2)))))))))))))) => 45.57/7.21 (X2 @ '#sk3' @ '#sk4'))) 45.57/7.21 | ~ ('#form11'))), 45.57/7.21 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl33])). 45.57/7.21 thf(zip_derived_cl35, plain, 45.57/7.21 (( (((((((!!) @ (^[Y0 : a]: 45.57/7.21 (((!!) @ (^[Y1 : a]: 45.57/7.21 ((((('#sk1' @ Y0 @ Y1) | ('#sk2' @ Y0 @ 45.57/7.21 Y1))) => 45.57/7.21 ('#sk5' @ Y0 @ Y1))))))))) & 45.57/7.21 (((!!) @ (^[Y0 : a]: 45.57/7.21 (((!!) @ (^[Y1 : a]: 45.57/7.21 (((!!) @ (^[Y2 : a]: 45.57/7.21 ((((('#sk5' @ Y0 @ Y1) & 45.57/7.21 ('#sk5' @ Y1 @ Y2))) => 45.57/7.21 ('#sk5' @ Y0 @ Y2)))))))))))))) => 45.57/7.21 ('#sk5' @ '#sk3' @ '#sk4'))) 45.57/7.21 | ~ ('#form11'))), 45.57/7.21 inference('triggered_bool_instantiation', [status(thm)], 45.57/7.21 [zip_derived_cl34])). 45.57/7.21 thf(zip_derived_cl6, plain, 45.57/7.21 (~ (((!!) @ (^[Y0 : a > a > $o]: 45.57/7.21 (((((((!!) @ (^[Y1 : a]: 45.57/7.21 (((!!) @ (^[Y2 : a]: 45.57/7.21 (((!!) @ (^[Y3 : a]: 45.57/7.21 (((((Y0 @ Y1 @ 45.57/7.21 Y2) & (Y0 @ 45.57/7.21 Y2 @ Y3))) => 45.57/7.21 (Y0 @ Y1 @ Y3)))))))))))) & 45.57/7.21 (((!!) @ (^[Y1 : a]: 45.57/7.21 (((!!) @ (^[Y2 : a]: 45.57/7.21 ((((('#sk1' @ Y1 @ Y2) | 45.57/7.21 ('#sk2' @ Y1 @ Y2))) => 45.57/7.21 (Y0 @ Y1 @ Y2))))))))))) => 45.57/7.21 (Y0 @ '#sk3' @ '#sk4'))))))), 45.57/7.21 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl4])). 45.57/7.21 thf(zip_derived_cl8, plain, 45.57/7.21 (~ (((((((!!) @ (^[Y0 : a]: 45.57/7.21 (((!!) @ (^[Y1 : a]: 45.57/7.21 (((!!) @ (^[Y2 : a]: 45.57/7.21 ((((('#sk5' @ Y0 @ Y1) & 45.57/7.21 ('#sk5' @ Y1 @ Y2))) => 45.57/7.21 ('#sk5' @ Y0 @ Y2)))))))))))) & 45.57/7.21 (((!!) @ (^[Y0 : a]: 45.57/7.21 (((!!) @ (^[Y1 : a]: 45.57/7.21 ((((('#sk1' @ Y0 @ Y1) | ('#sk2' @ Y0 @ 45.57/7.21 Y1))) => 45.57/7.21 ('#sk5' @ Y0 @ Y1))))))))))) => 45.57/7.21 ('#sk5' @ '#sk3' @ '#sk4')))), 45.57/7.21 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl6])). 45.57/7.21 thf(zip_derived_cl11, plain, (~ ('#sk5' @ '#sk3' @ '#sk4')), 45.57/7.21 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl8])). 45.57/7.21 thf(zip_derived_cl213, plain, 45.57/7.21 (( (((((((!!) @ (^[Y0 : a]: 45.57/7.21 (((!!) @ (^[Y1 : a]: 45.57/7.21 ((((('#sk1' @ Y0 @ Y1) | ('#sk2' @ Y0 @ 45.57/7.21 Y1))) => 45.57/7.21 ('#sk5' @ Y0 @ Y1))))))))) & 45.57/7.21 (((!!) @ (^[Y0 : a]: 45.57/7.21 (((!!) @ (^[Y1 : a]: 45.57/7.21 (((!!) @ (^[Y2 : a]: 45.57/7.21 ((((('#sk5' @ Y0 @ Y1) & 45.57/7.21 ('#sk5' @ Y1 @ Y2))) => 45.57/7.21 ('#sk5' @ Y0 @ Y2)))))))))))))) => 45.57/7.21 ($false))) 45.57/7.21 | ~ ('#form11'))), 45.57/7.21 inference('demod', [status(thm)], [zip_derived_cl35, zip_derived_cl11])). 45.57/7.21 thf(zip_derived_cl214, plain, 45.57/7.21 (( (((~) @ (((((!!) @ (^[Y0 : a]: 45.57/7.21 (((!!) @ (^[Y1 : a]: 45.57/7.21 ((((('#sk1' @ Y0 @ Y1) | ('#sk2' @ 45.57/7.21 Y0 @ Y1))) => 45.57/7.21 ('#sk5' @ Y0 @ Y1))))))))) & 45.57/7.21 (((!!) @ (^[Y0 : a]: 45.57/7.21 (((!!) @ (^[Y1 : a]: 45.57/7.21 (((!!) @ (^[Y2 : a]: 45.57/7.21 ((((('#sk5' @ Y0 @ Y1) & 45.57/7.21 ('#sk5' @ Y1 @ Y2))) => 45.57/7.21 ('#sk5' @ Y0 @ Y2)))))))))))))))) 45.57/7.21 | ~ ('#form11'))), 45.57/7.21 inference('simplify boolean subterms', [status(thm)], [zip_derived_cl213])). 45.57/7.21 thf(zip_derived_cl215, plain, 45.57/7.21 ((~ (((((!!) @ (^[Y0 : a]: 45.57/7.21 (((!!) @ (^[Y1 : a]: 45.57/7.21 ((((('#sk1' @ Y0 @ Y1) | ('#sk2' @ Y0 @ Y1))) => 45.57/7.21 ('#sk5' @ Y0 @ Y1))))))))) & 45.57/7.21 (((!!) @ (^[Y0 : a]: 45.57/7.21 (((!!) @ (^[Y1 : a]: 45.57/7.21 (((!!) @ (^[Y2 : a]: 45.57/7.21 ((((('#sk5' @ Y0 @ Y1) & 45.57/7.21 ('#sk5' @ Y1 @ Y2))) => 45.57/7.21 ('#sk5' @ Y0 @ Y2)))))))))))))) 45.57/7.21 | ~ ('#form11'))), 45.57/7.21 inference('simplify nested equalities', [status(thm)], 45.57/7.21 [zip_derived_cl214])). 45.57/7.21 thf(zip_derived_cl216, plain, 45.57/7.21 ((~ (((!!) @ (^[Y0 : a]: 45.57/7.21 (((!!) @ (^[Y1 : a]: 45.57/7.21 ((((('#sk1' @ Y0 @ Y1) | ('#sk2' @ Y0 @ Y1))) => 45.57/7.21 ('#sk5' @ Y0 @ Y1))))))))) 45.57/7.21 | ~ (((!!) @ (^[Y0 : a]: 45.57/7.21 (((!!) @ (^[Y1 : a]: 45.57/7.21 (((!!) @ (^[Y2 : a]: 45.57/7.21 ((((('#sk5' @ Y0 @ Y1) & 45.57/7.21 ('#sk5' @ Y1 @ Y2))) => 45.57/7.21 ('#sk5' @ Y0 @ Y2)))))))))))) 45.57/7.21 | ~ ('#form11'))), 45.57/7.21 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl215])). 45.57/7.21 thf(zip_derived_cl25, plain, 45.57/7.21 (( (((!!) @ (^[Y0 : a > a > $o]: 45.57/7.21 (((((((!!) @ (^[Y1 : a]: 45.57/7.21 (((!!) @ (^[Y2 : a]: 45.57/7.21 (((!!) @ (^[Y3 : a]: 45.57/7.21 (((((Y0 @ Y2 @ 45.57/7.21 Y3) & (Y0 @ 45.57/7.21 Y1 @ Y2))) => 45.57/7.21 (Y0 @ Y1 @ Y3)))))))))))) & 45.57/7.21 (((!!) @ (^[Y1 : a]: 45.57/7.21 (((!!) @ (^[Y2 : a]: 45.57/7.21 ((((('#sk1' @ Y1 @ Y2) | 45.57/7.21 ('#sk2' @ Y1 @ Y2))) => 45.57/7.21 (Y0 @ Y1 @ Y2))))))))))) => 45.57/7.21 (Y0 @ '#sk7' @ '#sk8')))))) 45.57/7.21 | (((!!) @ (^[Y0 : a > a > $o]: 45.57/7.21 (((((((!!) @ (^[Y1 : a]: 45.57/7.21 (((!!) @ (^[Y2 : a]: 45.57/7.21 ((((('#sk1' @ Y1 @ Y2) | 45.57/7.21 ('#sk2' @ Y1 @ Y2))) => 45.57/7.21 (Y0 @ Y1 @ Y2))))))))) & 45.57/7.21 (((!!) @ (^[Y1 : a]: 45.57/7.21 (((!!) @ (^[Y2 : a]: 45.57/7.21 (((!!) @ (^[Y3 : a]: 45.57/7.21 (((((Y0 @ Y1 @ 45.57/7.21 Y2) & (Y0 @ 45.57/7.21 Y2 @ Y3))) => 45.57/7.21 (Y0 @ Y1 @ Y3)))))))))))))) => 45.57/7.21 (Y0 @ '#sk3' @ '#sk4')))))) 45.57/7.21 | ~ (((!!) @ (^[Y0 : a]: 45.57/7.21 (((!!) @ (^[Y1 : a]: 45.57/7.21 (((((((!!) @ (^[Y2 : a > a > $o]: 45.57/7.21 (((((((!!) @ (^[Y3 : a]: 45.57/7.21 (((!!) @ ( 45.57/7.21 ^[Y4 : a]: 45.57/7.21 (( 45.57/7.21 ('#sk1' @ 45.57/7.21 Y3 @ 45.57/7.21 Y4) => 45.57/7.21 (Y2 @ 45.57/7.21 Y3 @ Y4))))))))) & 45.57/7.21 (((!!) @ (^[Y3 : a]: 45.57/7.21 (((!!) @ ( 45.57/7.21 ^[Y4 : a]: 45.57/7.21 (( 45.57/7.21 (!!) @ ( 45.57/7.21 ^[Y5 : a]: 45.57/7.21 (( 45.57/7.21 (( 45.57/7.21 (Y2 @ 45.57/7.21 Y4 @ 45.57/7.21 Y5) & 45.57/7.21 (Y2 @ 45.57/7.21 Y3 @ Y4))) => 45.57/7.21 (Y2 @ 45.57/7.21 Y3 @ Y5)))))))))))))) => 45.57/7.21 (Y2 @ Y0 @ Y1)))))) | 45.57/7.21 (((!!) @ (^[Y2 : a > a > $o]: 45.57/7.21 (((((((!!) @ (^[Y3 : a]: 45.57/7.21 (((!!) @ ( 45.57/7.21 ^[Y4 : a]: 45.57/7.21 (( 45.57/7.21 ('#sk2' @ 45.57/7.21 Y3 @ 45.57/7.21 Y4) => 45.57/7.21 (Y2 @ 45.57/7.21 Y3 @ Y4))))))))) & 45.57/7.21 (((!!) @ (^[Y3 : a]: 45.57/7.21 (((!!) @ ( 45.57/7.21 ^[Y4 : a]: 45.57/7.21 (( 45.57/7.21 (!!) @ ( 45.57/7.21 ^[Y5 : a]: 45.57/7.21 (( 45.57/7.21 (( 45.57/7.21 (Y2 @ 45.57/7.21 Y3 @ 45.57/7.21 Y4) & 45.57/7.21 (Y2 @ 45.57/7.21 Y4 @ Y5))) => 45.57/7.21 (Y2 @ 45.57/7.21 Y3 @ Y5)))))))))))))) => 45.57/7.21 (Y2 @ Y0 @ Y1)))))))) => 45.57/7.21 (((!!) @ (^[Y2 : a > a > $o]: 45.57/7.21 (((((((!!) @ (^[Y3 : a]: 45.57/7.21 (((!!) @ ( 45.57/7.21 ^[Y4 : a]: 45.57/7.21 ( 45.57/7.21 ( 45.57/7.21 (!!) @ ( 45.57/7.21 ^[Y5 : a]: 45.57/7.21 (( 45.57/7.21 (( 45.57/7.21 (Y2 @ 45.57/7.21 Y4 @ 45.57/7.21 Y5) & 45.57/7.21 (Y2 @ 45.57/7.21 Y3 @ Y4))) => 45.57/7.21 (Y2 @ 45.57/7.21 Y3 @ Y5)))))))))))) & 45.57/7.21 (((!!) @ (^[Y3 : a]: 45.57/7.21 (((!!) @ ( 45.57/7.21 ^[Y4 : a]: 45.57/7.21 ( 45.57/7.21 ( 45.57/7.21 (( 45.57/7.21 ('#sk2' @ 45.57/7.21 Y3 @ 45.57/7.21 Y4) | 45.57/7.21 ('#sk1' @ 45.57/7.21 Y3 @ Y4))) => 45.57/7.21 (Y2 @ 45.57/7.21 Y3 @ Y4))))))))))) => 45.57/7.21 (Y2 @ Y0 @ Y1)))))))))))))))), 45.57/7.21 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl21])). 45.57/7.21 thf(zip_derived_cl33, plain, 45.57/7.21 ((~ ('#form11') 45.57/7.21 | (((!!) @ (^[Y0 : a > a > $o]: 45.57/7.21 (((((((!!) @ (^[Y1 : a]: 45.57/7.21 (((!!) @ (^[Y2 : a]: 45.57/7.21 ((((('#sk1' @ Y1 @ Y2) | 45.57/7.21 ('#sk2' @ Y1 @ Y2))) => 45.57/7.21 (Y0 @ Y1 @ Y2))))))))) & 45.57/7.21 (((!!) @ (^[Y1 : a]: 45.57/7.21 (((!!) @ (^[Y2 : a]: 45.57/7.21 (((!!) @ (^[Y3 : a]: 45.57/7.21 (((((Y0 @ Y1 @ 45.57/7.21 Y2) & (Y0 @ 45.57/7.21 Y2 @ Y3))) => 45.57/7.21 (Y0 @ Y1 @ Y3)))))))))))))) => 45.57/7.21 (Y0 @ '#sk3' @ '#sk4')))))))), 45.57/7.21 define([status(thm)])). 45.57/7.21 thf(zip_derived_cl38, plain, 45.57/7.21 (( ('#form11') 45.57/7.21 | ~ (((!!) @ (^[Y0 : a]: 45.57/7.21 (((!!) @ (^[Y1 : a]: 45.57/7.21 (((((((!!) @ (^[Y2 : a > a > $o]: 45.57/7.21 (((((((!!) @ (^[Y3 : a]: 45.57/7.21 (((!!) @ ( 45.57/7.21 ^[Y4 : a]: 45.57/7.21 (( 45.57/7.21 ('#sk1' @ 45.57/7.21 Y3 @ 45.57/7.21 Y4) => 45.57/7.21 (Y2 @ 45.57/7.21 Y3 @ Y4))))))))) & 45.57/7.21 (((!!) @ (^[Y3 : a]: 45.57/7.21 (((!!) @ ( 45.57/7.21 ^[Y4 : a]: 45.57/7.21 (( 45.57/7.21 (!!) @ ( 45.57/7.21 ^[Y5 : a]: 45.57/7.21 (( 45.57/7.21 (( 45.57/7.21 (Y2 @ 45.57/7.21 Y4 @ 45.57/7.21 Y5) & 45.57/7.21 (Y2 @ 45.57/7.21 Y3 @ Y4))) => 45.57/7.21 (Y2 @ 45.57/7.21 Y3 @ Y5)))))))))))))) => 45.57/7.21 (Y2 @ Y0 @ Y1)))))) | 45.57/7.21 (((!!) @ (^[Y2 : a > a > $o]: 45.57/7.21 (((((((!!) @ (^[Y3 : a]: 45.57/7.21 (((!!) @ ( 45.57/7.21 ^[Y4 : a]: 45.57/7.21 (( 45.57/7.21 ('#sk2' @ 45.57/7.21 Y3 @ 45.57/7.21 Y4) => 45.57/7.21 (Y2 @ 45.57/7.21 Y3 @ Y4))))))))) & 45.57/7.21 (((!!) @ (^[Y3 : a]: 45.57/7.21 (((!!) @ ( 45.57/7.21 ^[Y4 : a]: 45.57/7.21 (( 45.57/7.21 (!!) @ ( 45.57/7.21 ^[Y5 : a]: 45.57/7.21 (( 45.57/7.21 (( 45.57/7.21 (Y2 @ 45.57/7.21 Y3 @ 45.57/7.21 Y4) & 45.57/7.21 (Y2 @ 45.57/7.21 Y4 @ Y5))) => 45.57/7.21 (Y2 @ 45.57/7.21 Y3 @ Y5)))))))))))))) => 45.57/7.21 (Y2 @ Y0 @ Y1)))))))) => 45.57/7.21 (((!!) @ (^[Y2 : a > a > $o]: 45.57/7.21 (((((((!!) @ (^[Y3 : a]: 45.57/7.21 (((!!) @ ( 45.57/7.21 ^[Y4 : a]: 45.57/7.21 ( 45.57/7.21 ( 45.57/7.21 (!!) @ ( 45.57/7.21 ^[Y5 : a]: 45.57/7.21 (( 45.57/7.21 (( 45.57/7.21 (Y2 @ 45.57/7.21 Y4 @ 45.57/7.21 Y5) & 45.57/7.21 (Y2 @ 45.57/7.21 Y3 @ Y4))) => 45.57/7.21 (Y2 @ 45.57/7.21 Y3 @ Y5)))))))))))) & 45.57/7.21 (((!!) @ (^[Y3 : a]: 45.57/7.21 (((!!) @ ( 45.57/7.21 ^[Y4 : a]: 45.57/7.21 ( 45.57/7.21 ( 45.57/7.21 (( 45.57/7.21 ('#sk2' @ 45.57/7.21 Y3 @ 45.57/7.21 Y4) | 45.57/7.21 ('#sk1' @ 45.57/7.21 Y3 @ Y4))) => 45.57/7.21 (Y2 @ 45.57/7.21 Y3 @ Y4))))))))))) => 45.57/7.21 (Y2 @ Y0 @ Y1)))))))))))))) 45.57/7.21 | (((!!) @ (^[Y0 : a > a > $o]: 45.57/7.21 (((((((!!) @ (^[Y1 : a]: 45.57/7.21 (((!!) @ (^[Y2 : a]: 45.57/7.21 (((!!) @ (^[Y3 : a]: 45.57/7.21 (((((Y0 @ Y2 @ 45.57/7.21 Y3) & (Y0 @ 45.57/7.21 Y1 @ Y2))) => 45.57/7.21 (Y0 @ Y1 @ Y3)))))))))))) & 45.57/7.21 (((!!) @ (^[Y1 : a]: 45.57/7.21 (((!!) @ (^[Y2 : a]: 45.57/7.21 ((((('#sk1' @ Y1 @ Y2) | 45.57/7.21 ('#sk2' @ Y1 @ Y2))) => 45.57/7.21 (Y0 @ Y1 @ Y2))))))))))) => 45.57/7.21 (Y0 @ '#sk7' @ '#sk8')))))))), 45.57/7.21 inference('renaming', [status(thm)], [zip_derived_cl25, zip_derived_cl33])). 45.57/7.21 thf(zip_derived_cl27, plain, 45.57/7.21 (( ('#form9') 45.57/7.21 | ~ (((!!) @ (^[Y0 : a]: 45.57/7.21 (((!!) @ (^[Y1 : a]: 45.57/7.21 (((((((!!) @ (^[Y2 : a > a > $o]: 45.57/7.21 (((((((!!) @ (^[Y3 : a]: 45.57/7.21 (((!!) @ ( 45.57/7.21 ^[Y4 : a]: 45.57/7.21 (( 45.57/7.21 ('#sk1' @ 45.57/7.21 Y3 @ 45.57/7.21 Y4) => 45.57/7.21 (Y2 @ 45.57/7.21 Y3 @ Y4))))))))) & 45.57/7.21 (((!!) @ (^[Y3 : a]: 45.57/7.21 (((!!) @ ( 45.57/7.21 ^[Y4 : a]: 45.57/7.21 (( 45.57/7.21 (!!) @ ( 45.57/7.21 ^[Y5 : a]: 45.57/7.21 (( 45.57/7.21 (( 45.57/7.21 (Y2 @ 45.57/7.21 Y4 @ 45.57/7.21 Y5) & 45.57/7.21 (Y2 @ 45.57/7.21 Y3 @ Y4))) => 45.57/7.21 (Y2 @ 45.57/7.21 Y3 @ Y5)))))))))))))) => 45.57/7.21 (Y2 @ Y0 @ Y1)))))) | 45.57/7.21 (((!!) @ (^[Y2 : a > a > $o]: 45.57/7.21 (((((((!!) @ (^[Y3 : a]: 45.57/7.21 (((!!) @ ( 45.57/7.21 ^[Y4 : a]: 45.57/7.21 (( 45.57/7.21 ('#sk2' @ 45.57/7.21 Y3 @ 45.57/7.21 Y4) => 45.57/7.21 (Y2 @ 45.57/7.21 Y3 @ Y4))))))))) & 45.57/7.21 (((!!) @ (^[Y3 : a]: 45.57/7.21 (((!!) @ ( 45.57/7.21 ^[Y4 : a]: 45.57/7.21 (( 45.57/7.21 (!!) @ ( 45.57/7.21 ^[Y5 : a]: 45.57/7.21 (( 45.57/7.21 (( 45.57/7.21 (Y2 @ 45.57/7.21 Y3 @ 45.57/7.21 Y4) & 45.57/7.21 (Y2 @ 45.57/7.21 Y4 @ Y5))) => 45.57/7.21 (Y2 @ 45.57/7.21 Y3 @ Y5)))))))))))))) => 45.57/7.21 (Y2 @ Y0 @ Y1)))))))) => 45.57/7.21 (((!!) @ (^[Y2 : a > a > $o]: 45.57/7.21 (((((((!!) @ (^[Y3 : a]: 45.57/7.21 (((!!) @ ( 45.57/7.21 ^[Y4 : a]: 45.57/7.21 ( 45.57/7.21 ( 45.57/7.21 (!!) @ ( 45.57/7.21 ^[Y5 : a]: 45.57/7.21 (( 45.57/7.21 (( 45.57/7.21 (Y2 @ 45.57/7.21 Y4 @ 45.57/7.21 Y5) & 45.57/7.21 (Y2 @ 45.57/7.21 Y3 @ Y4))) => 45.57/7.21 (Y2 @ 45.57/7.21 Y3 @ Y5)))))))))))) & 45.57/7.21 (((!!) @ (^[Y3 : a]: 45.57/7.21 (((!!) @ ( 45.57/7.21 ^[Y4 : a]: 45.57/7.21 ( 45.57/7.21 ( 45.57/7.21 (( 45.57/7.21 ('#sk2' @ 45.57/7.21 Y3 @ 45.57/7.21 Y4) | 45.57/7.21 ('#sk1' @ 45.57/7.21 Y3 @ Y4))) => 45.57/7.21 (Y2 @ 45.57/7.21 Y3 @ Y4))))))))))) => 45.57/7.21 (Y2 @ Y0 @ Y1)))))))))))))))), 45.57/7.21 define([status(thm)])). 45.57/7.21 thf(zip_derived_cl43, plain, 45.57/7.21 ((~ ('#form9') 45.57/7.21 | (((!!) @ (^[Y0 : a > a > $o]: 45.57/7.21 (((((((!!) @ (^[Y1 : a]: 45.57/7.21 (((!!) @ (^[Y2 : a]: 45.57/7.21 (((!!) @ (^[Y3 : a]: 45.57/7.21 (((((Y0 @ Y2 @ 45.57/7.21 Y3) & (Y0 @ 45.57/7.21 Y1 @ Y2))) => 45.57/7.21 (Y0 @ Y1 @ Y3)))))))))))) & 45.57/7.21 (((!!) @ (^[Y1 : a]: 45.57/7.21 (((!!) @ (^[Y2 : a]: 45.57/7.21 ((((('#sk1' @ Y1 @ Y2) | 45.57/7.21 ('#sk2' @ Y1 @ Y2))) => 45.57/7.21 (Y0 @ Y1 @ Y2))))))))))) => 45.57/7.21 (Y0 @ '#sk7' @ '#sk8')))))) 45.57/7.21 | ('#form11'))), 45.57/7.21 inference('renaming', [status(thm)], [zip_derived_cl38, zip_derived_cl27])). 45.57/7.21 thf(zip_derived_cl50, plain, 45.57/7.21 (![X2 : a > a > $o]: 45.57/7.21 ( (((((((!!) @ (^[Y0 : a]: 45.57/7.21 (((!!) @ (^[Y1 : a]: 45.57/7.21 (((!!) @ (^[Y2 : a]: 45.57/7.21 (((((X2 @ Y1 @ Y2) & (X2 @ 45.57/7.21 Y0 @ Y1))) => 45.57/7.21 (X2 @ Y0 @ Y2)))))))))))) & 45.57/7.21 (((!!) @ (^[Y0 : a]: 45.57/7.21 (((!!) @ (^[Y1 : a]: 45.57/7.21 ((((('#sk1' @ Y0 @ Y1) | ('#sk2' @ Y0 @ 45.57/7.21 Y1))) => 45.57/7.21 (X2 @ Y0 @ Y1))))))))))) => 45.57/7.21 (X2 @ '#sk7' @ '#sk8'))) 45.57/7.21 | ('#form11') 45.57/7.21 | ~ ('#form9'))), 45.57/7.21 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl43])). 45.57/7.21 thf(zip_derived_cl68, plain, 45.57/7.21 (![X2 : a > a > $o]: 45.57/7.21 (~ (((((!!) @ (^[Y0 : a]: 45.57/7.21 (((!!) @ (^[Y1 : a]: 45.57/7.21 (((!!) @ (^[Y2 : a]: 45.57/7.21 (((((X2 @ Y1 @ Y2) & (X2 @ 45.57/7.21 Y0 @ Y1))) => 45.57/7.21 (X2 @ Y0 @ Y2)))))))))))) & 45.57/7.21 (((!!) @ (^[Y0 : a]: 45.57/7.21 (((!!) @ (^[Y1 : a]: 45.57/7.21 ((((('#sk1' @ Y0 @ Y1) | ('#sk2' @ Y0 @ 45.57/7.21 Y1))) => 45.57/7.21 (X2 @ Y0 @ Y1))))))))))) 45.57/7.21 | (X2 @ '#sk7' @ '#sk8') 45.57/7.21 | ~ ('#form9') 45.57/7.21 | ('#form11'))), 45.57/7.21 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl50])). 45.57/7.21 thf(zip_derived_cl81, plain, 45.57/7.21 (![X2 : a > a > $o]: 45.57/7.21 (~ (((!!) @ (^[Y0 : a]: 45.57/7.21 (((!!) @ (^[Y1 : a]: 45.57/7.21 (((!!) @ (^[Y2 : a]: 45.57/7.21 (((((X2 @ Y1 @ Y2) & (X2 @ 45.57/7.21 Y0 @ Y1))) => 45.57/7.21 (X2 @ Y0 @ Y2)))))))))))) 45.57/7.21 | ~ (((!!) @ (^[Y0 : a]: 45.57/7.21 (((!!) @ (^[Y1 : a]: 45.57/7.21 ((((('#sk1' @ Y0 @ Y1) | ('#sk2' @ Y0 @ 45.57/7.21 Y1))) => 45.57/7.21 (X2 @ Y0 @ Y1))))))))) 45.57/7.21 | ('#form11') 45.57/7.21 | ~ ('#form9') 45.57/7.21 | (X2 @ '#sk7' @ '#sk8'))), 45.57/7.21 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl68])). 45.57/7.21 thf(zip_derived_cl96, plain, 45.57/7.21 (![X2 : a > a > $o]: 45.57/7.21 (~ (((!!) @ (^[Y0 : a]: 45.57/7.21 (((!!) @ (^[Y1 : a]: 45.57/7.21 (((((X2 @ Y0 @ Y1) & (X2 @ 45.57/7.21 ('#sk103' @ X2) @ Y0))) => 45.57/7.21 (X2 @ ('#sk103' @ X2) @ Y1))))))))) 45.57/7.21 | (X2 @ '#sk7' @ '#sk8') 45.57/7.21 | ~ ('#form9') 45.57/7.21 | ('#form11') 45.57/7.21 | ~ (((!!) @ (^[Y0 : a]: 45.57/7.21 (((!!) @ (^[Y1 : a]: 45.57/7.21 ((((('#sk1' @ Y0 @ Y1) | ('#sk2' @ Y0 @ 45.57/7.21 Y1))) => 45.57/7.21 (X2 @ Y0 @ Y1))))))))))), 45.57/7.21 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl81])). 45.57/7.21 thf(zip_derived_cl106, plain, 45.57/7.21 (![X2 : a > a > $o]: 45.57/7.21 (~ (((!!) @ (^[Y0 : a]: 45.57/7.21 (((((X2 @ ('#sk157' @ X2) @ Y0) & (X2 @ 45.57/7.21 ('#sk103' @ X2) @ ('#sk157' @ X2)))) => 45.57/7.21 (X2 @ ('#sk103' @ X2) @ Y0)))))) 45.57/7.21 | ~ (((!!) @ (^[Y0 : a]: 45.57/7.21 (((!!) @ (^[Y1 : a]: 45.57/7.21 ((((('#sk1' @ Y0 @ Y1) | ('#sk2' @ Y0 @ 45.57/7.21 Y1))) => 45.57/7.21 (X2 @ Y0 @ Y1))))))))) 45.57/7.21 | ('#form11') 45.57/7.21 | ~ ('#form9') 45.57/7.21 | (X2 @ '#sk7' @ '#sk8'))), 45.57/7.21 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl96])). 45.57/7.21 thf(zip_derived_cl116, plain, 45.57/7.21 (![X2 : a > a > $o]: 45.57/7.21 (~ (((((X2 @ ('#sk157' @ X2) @ ('#sk225' @ X2)) & (X2 @ 45.57/7.21 ('#sk103' @ X2) @ ('#sk157' @ X2)))) => 45.57/7.21 (X2 @ ('#sk103' @ X2) @ ('#sk225' @ X2)))) 45.57/7.21 | (X2 @ '#sk7' @ '#sk8') 45.57/7.21 | ~ ('#form9') 45.57/7.21 | ('#form11') 45.57/7.21 | ~ (((!!) @ (^[Y0 : a]: 45.57/7.21 (((!!) @ (^[Y1 : a]: 45.57/7.21 ((((('#sk1' @ Y0 @ Y1) | ('#sk2' @ Y0 @ 45.57/7.21 Y1))) => 45.57/7.21 (X2 @ Y0 @ Y1))))))))))), 45.57/7.21 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl106])). 45.57/7.21 thf(zip_derived_cl131, plain, 45.57/7.21 (![X2 : a > a > $o]: 45.57/7.21 (~ (X2 @ ('#sk103' @ X2) @ ('#sk225' @ X2)) 45.57/7.21 | ~ (((!!) @ (^[Y0 : a]: 45.57/7.21 (((!!) @ (^[Y1 : a]: 45.57/7.21 ((((('#sk1' @ Y0 @ Y1) | ('#sk2' @ Y0 @ 45.57/7.21 Y1))) => 45.57/7.21 (X2 @ Y0 @ Y1))))))))) 45.57/7.21 | ('#form11') 45.57/7.21 | ~ ('#form9') 45.57/7.21 | (X2 @ '#sk7' @ '#sk8'))), 45.57/7.21 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl116])). 45.57/7.21 thf(zip_derived_cl145, plain, 45.57/7.21 (![X2 : a > a > $o]: 45.57/7.21 ( ('#form401' @ X2) 45.57/7.21 | ~ (((!!) @ (^[Y0 : a]: 45.57/7.21 (((!!) @ (^[Y1 : a]: 45.57/7.21 ((((('#sk1' @ Y0 @ Y1) | ('#sk2' @ Y0 @ 45.57/7.21 Y1))) => 45.57/7.21 (X2 @ Y0 @ Y1))))))))))), 45.57/7.21 define([status(thm)])). 45.57/7.21 thf(zip_derived_cl217, plain, 45.57/7.21 ((~ ('#form401' @ '#sk5') 45.57/7.21 | ~ ('#form11') 45.57/7.21 | ~ (((!!) @ (^[Y0 : a]: 45.57/7.21 (((!!) @ (^[Y1 : a]: 45.57/7.21 (((!!) @ (^[Y2 : a]: 45.57/7.21 ((((('#sk5' @ Y0 @ Y1) & 45.57/7.21 ('#sk5' @ Y1 @ Y2))) => 45.57/7.21 ('#sk5' @ Y0 @ Y2)))))))))))))), 45.57/7.21 inference('renaming', [status(thm)], 45.57/7.21 [zip_derived_cl216, zip_derived_cl145])). 45.57/7.21 thf(zip_derived_cl218, plain, 45.57/7.21 ((~ (((!!) @ (^[Y0 : a]: 45.57/7.21 (((!!) @ (^[Y1 : a]: 45.57/7.21 ((((('#sk5' @ ('#sk182' @ '#sk5') @ Y0) & 45.57/7.21 ('#sk5' @ Y0 @ Y1))) => 45.57/7.21 ('#sk5' @ ('#sk182' @ '#sk5') @ Y1))))))))) 45.57/7.21 | ~ ('#form11') 45.57/7.21 | ~ ('#form401' @ '#sk5'))), 45.57/7.21 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl217])). 45.57/7.21 thf(zip_derived_cl219, plain, 45.57/7.21 ((~ (((!!) @ (^[Y0 : a]: 45.57/7.21 ((((('#sk5' @ ('#sk182' @ '#sk5') @ 45.57/7.21 ('#sk252' @ '#sk5')) & ('#sk5' @ 45.57/7.21 ('#sk252' @ '#sk5') @ Y0))) => 45.57/7.21 ('#sk5' @ ('#sk182' @ '#sk5') @ Y0)))))) 45.57/7.21 | ~ ('#form401' @ '#sk5') 45.57/7.21 | ~ ('#form11'))), 45.57/7.21 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl218])). 45.57/7.21 thf(zip_derived_cl220, plain, 45.57/7.21 ((~ ((((('#sk5' @ ('#sk182' @ '#sk5') @ ('#sk252' @ '#sk5')) & ('#sk5' @ 45.57/7.21 ('#sk252' @ '#sk5') @ ('#sk333' @ '#sk5')))) => 45.57/7.21 ('#sk5' @ ('#sk182' @ '#sk5') @ ('#sk333' @ '#sk5')))) 45.57/7.21 | ~ ('#form11') 45.57/7.21 | ~ ('#form401' @ '#sk5'))), 45.57/7.21 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl219])). 45.57/7.21 thf(zip_derived_cl222, plain, 45.57/7.21 ((~ ('#sk5' @ ('#sk182' @ '#sk5') @ ('#sk333' @ '#sk5')) 45.57/7.21 | ~ ('#form401' @ '#sk5') 45.57/7.21 | ~ ('#form11'))), 45.57/7.21 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl220])). 45.57/7.21 thf(zip_derived_cl221, plain, 45.57/7.21 (( ((('#sk5' @ ('#sk182' @ '#sk5') @ ('#sk252' @ '#sk5')) & ('#sk5' @ 45.57/7.21 ('#sk252' @ '#sk5') @ ('#sk333' @ '#sk5')))) 45.57/7.21 | ~ ('#form401' @ '#sk5') 45.57/7.21 | ~ ('#form11'))), 45.57/7.21 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl220])). 45.57/7.21 thf(zip_derived_cl223, plain, 45.57/7.21 (( ('#sk5' @ ('#sk182' @ '#sk5') @ ('#sk252' @ '#sk5')) 45.57/7.21 | ~ ('#form11') 45.57/7.21 | ~ ('#form401' @ '#sk5'))), 45.57/7.21 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl221])). 45.57/7.21 thf(zip_derived_cl130, plain, 45.57/7.21 (![X2 : a > a > $o]: 45.57/7.21 ( (((X2 @ ('#sk157' @ X2) @ ('#sk225' @ X2)) & (X2 @ 45.57/7.21 ('#sk103' @ X2) @ ('#sk157' @ X2)))) 45.57/7.21 | ~ (((!!) @ (^[Y0 : a]: 45.57/7.21 (((!!) @ (^[Y1 : a]: 45.57/7.21 ((((('#sk1' @ Y0 @ Y1) | ('#sk2' @ Y0 @ 45.57/7.21 Y1))) => 45.57/7.21 (X2 @ Y0 @ Y1))))))))) 45.57/7.21 | ('#form11') 45.57/7.21 | ~ ('#form9') 45.57/7.21 | (X2 @ '#sk7' @ '#sk8'))), 45.57/7.21 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl116])). 45.57/7.21 thf(zip_derived_cl144, plain, 45.57/7.21 (![X2 : a > a > $o]: 45.57/7.21 ( (X2 @ ('#sk103' @ X2) @ ('#sk157' @ X2)) 45.57/7.21 | (X2 @ '#sk7' @ '#sk8') 45.57/7.21 | ~ ('#form9') 45.57/7.21 | ('#form11') 45.57/7.21 | ~ (((!!) @ (^[Y0 : a]: 45.57/7.21 (((!!) @ (^[Y1 : a]: 45.57/7.21 ((((('#sk1' @ Y0 @ Y1) | ('#sk2' @ Y0 @ 45.57/7.21 Y1))) => 45.57/7.21 (X2 @ Y0 @ Y1))))))))))), 45.57/7.21 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl130])). 45.57/7.21 thf(zip_derived_cl145, plain, 45.57/7.21 (![X2 : a > a > $o]: 45.57/7.21 ( ('#form401' @ X2) 45.57/7.21 | ~ (((!!) @ (^[Y0 : a]: 45.57/7.21 (((!!) @ (^[Y1 : a]: 45.57/7.21 ((((('#sk1' @ Y0 @ Y1) | ('#sk2' @ Y0 @ 45.57/7.21 Y1))) => 45.57/7.21 (X2 @ Y0 @ Y1))))))))))), 45.57/7.21 define([status(thm)])). 45.57/7.21 thf(zip_derived_cl160, plain, 45.57/7.21 (![X2 : a > a > $o]: 45.57/7.21 (~ ('#form401' @ (^[Y0 : a,Y1 : a]: (X2 @ Y0 @ Y1))) 45.57/7.21 | ('#form11') 45.57/7.21 | ~ ('#form9') 45.57/7.21 | (X2 @ '#sk7' @ '#sk8') 45.57/7.21 | (X2 @ ('#sk103' @ X2) @ ('#sk157' @ X2)))), 45.57/7.21 inference('renaming', [status(thm)], 45.57/7.21 [zip_derived_cl144, zip_derived_cl145])). 45.57/7.21 thf(zip_derived_cl173, plain, 45.57/7.21 (![X2 : a > a > $o]: 45.57/7.21 (~ ('#form401' @ X2) 45.57/7.21 | ('#form11') 45.57/7.21 | ~ ('#form9') 45.57/7.21 | (X2 @ '#sk7' @ '#sk8') 45.57/7.21 | (X2 @ ('#sk103' @ X2) @ ('#sk157' @ X2)))), 45.57/7.21 inference('ho_norm', [status(thm)], [zip_derived_cl160])). 45.57/7.21 thf(zip_derived_cl224, plain, 45.57/7.21 (( ('#sk5' @ ('#sk252' @ '#sk5') @ ('#sk333' @ '#sk5')) 45.57/7.21 | ~ ('#form11') 45.57/7.21 | ~ ('#form401' @ '#sk5'))), 45.57/7.21 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl221])). 45.57/7.21 thf(zip_derived_cl131, plain, 45.57/7.21 (![X2 : a > a > $o]: 45.57/7.21 (~ (X2 @ ('#sk103' @ X2) @ ('#sk225' @ X2)) 45.57/7.21 | ~ (((!!) @ (^[Y0 : a]: 45.57/7.21 (((!!) @ (^[Y1 : a]: 45.57/7.21 ((((('#sk1' @ Y0 @ Y1) | ('#sk2' @ Y0 @ 45.57/7.21 Y1))) => 45.57/7.21 (X2 @ Y0 @ Y1))))))))) 45.57/7.21 | ('#form11') 45.57/7.21 | ~ ('#form9') 45.57/7.21 | (X2 @ '#sk7' @ '#sk8'))), 45.57/7.21 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl116])). 45.57/7.21 thf(zip_derived_cl145, plain, 45.57/7.21 (![X2 : a > a > $o]: 45.57/7.21 ( ('#form401' @ X2) 45.57/7.21 | ~ (((!!) @ (^[Y0 : a]: 45.57/7.21 (((!!) @ (^[Y1 : a]: 45.57/7.21 ((((('#sk1' @ Y0 @ Y1) | ('#sk2' @ Y0 @ 45.57/7.21 Y1))) => 45.57/7.21 (X2 @ Y0 @ Y1))))))))))), 45.57/7.21 define([status(thm)])). 45.57/7.21 thf(zip_derived_cl147, plain, 45.57/7.21 (![X2 : a > a > $o]: 45.57/7.21 (~ ('#form401' @ X2) 45.57/7.21 | (X2 @ '#sk7' @ '#sk8') 45.57/7.21 | ~ ('#form9') 45.57/7.21 | ('#form11') 45.57/7.21 | ~ (X2 @ ('#sk103' @ X2) @ ('#sk225' @ X2)))), 45.57/7.21 inference('renaming', [status(thm)], 45.57/7.21 [zip_derived_cl131, zip_derived_cl145])). 45.57/7.21 thf(zip_derived_cl10, plain, 45.57/7.21 ( (((((!!) @ (^[Y0 : a]: 45.57/7.21 (((!!) @ (^[Y1 : a]: 45.57/7.21 (((!!) @ (^[Y2 : a]: 45.57/7.21 ((((('#sk5' @ Y0 @ Y1) & 45.57/7.21 ('#sk5' @ Y1 @ Y2))) => 45.57/7.21 ('#sk5' @ Y0 @ Y2)))))))))))) & 45.57/7.21 (((!!) @ (^[Y0 : a]: 45.57/7.21 (((!!) @ (^[Y1 : a]: 45.57/7.21 ((((('#sk1' @ Y0 @ Y1) | ('#sk2' @ Y0 @ Y1))) => 45.57/7.21 ('#sk5' @ Y0 @ Y1)))))))))))), 45.57/7.21 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl8])). 45.57/7.21 thf(zip_derived_cl14, plain, 45.57/7.21 ( (((!!) @ (^[Y0 : a]: 45.57/7.21 (((!!) @ (^[Y1 : a]: 45.57/7.21 ((((('#sk1' @ Y0 @ Y1) | ('#sk2' @ Y0 @ Y1))) => 45.57/7.21 ('#sk5' @ Y0 @ Y1)))))))))), 45.57/7.21 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl10])). 45.57/7.21 thf(zip_derived_cl17, plain, 45.57/7.21 (![X2 : a]: 45.57/7.21 (((!!) @ (^[Y0 : a]: 45.57/7.21 ((((('#sk1' @ X2 @ Y0) | ('#sk2' @ X2 @ Y0))) => 45.57/7.21 ('#sk5' @ X2 @ Y0))))))), 45.57/7.21 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl14])). 45.57/7.21 thf(zip_derived_cl20, plain, 45.57/7.21 (![X2 : a, X4 : a]: 45.57/7.21 ((((('#sk1' @ X2 @ X4) | ('#sk2' @ X2 @ X4))) => ('#sk5' @ X2 @ X4)))), 45.57/7.21 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl17])). 45.57/7.21 thf(zip_derived_cl24, plain, 45.57/7.21 (![X2 : a, X4 : a]: 45.57/7.21 (~ ((('#sk1' @ X2 @ X4) | ('#sk2' @ X2 @ X4))) | ('#sk5' @ X2 @ X4))), 45.57/7.21 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl20])). 45.57/7.21 thf(zip_derived_cl32, plain, 45.57/7.21 (![X2 : a, X4 : a]: (~ ('#sk2' @ X2 @ X4) | ('#sk5' @ X2 @ X4))), 45.57/7.21 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl24])). 45.57/7.21 thf(zip_derived_cl31, plain, 45.57/7.21 (![X2 : a, X4 : a]: (~ ('#sk1' @ X2 @ X4) | ('#sk5' @ X2 @ X4))), 45.57/7.21 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl24])). 45.57/7.21 thf(zip_derived_cl13, plain, 45.57/7.21 ( (((!!) @ (^[Y0 : a]: 45.57/7.21 (((!!) @ (^[Y1 : a]: 45.57/7.21 (((!!) @ (^[Y2 : a]: 45.57/7.21 ((((('#sk5' @ Y0 @ Y1) & ('#sk5' @ 45.57/7.21 Y1 @ Y2))) => 45.57/7.21 ('#sk5' @ Y0 @ Y2))))))))))))), 45.57/7.21 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl10])). 45.57/7.21 thf(zip_derived_cl16, plain, 45.57/7.21 (![X2 : a]: 45.57/7.21 (((!!) @ (^[Y0 : a]: 45.57/7.21 (((!!) @ (^[Y1 : a]: 45.57/7.21 ((((('#sk5' @ X2 @ Y0) & ('#sk5' @ Y0 @ Y1))) => 45.57/7.21 ('#sk5' @ X2 @ Y1)))))))))), 45.57/7.21 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl13])). 45.57/7.21 thf(zip_derived_cl19, plain, 45.57/7.21 (![X2 : a, X4 : a]: 45.57/7.21 (((!!) @ (^[Y0 : a]: 45.57/7.21 ((((('#sk5' @ X2 @ X4) & ('#sk5' @ X4 @ Y0))) => 45.57/7.21 ('#sk5' @ X2 @ Y0))))))), 45.57/7.21 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl16])). 45.57/7.21 thf(zip_derived_cl23, plain, 45.57/7.21 (![X2 : a, X4 : a, X6 : a]: 45.57/7.21 ((((('#sk5' @ X2 @ X4) & ('#sk5' @ X4 @ X6))) => ('#sk5' @ X2 @ X6)))), 45.57/7.21 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl19])). 45.57/7.21 thf(zip_derived_cl30, plain, 45.57/7.21 (![X2 : a, X4 : a, X6 : a]: 45.57/7.21 (~ ((('#sk5' @ X2 @ X4) & ('#sk5' @ X4 @ X6))) | ('#sk5' @ X2 @ X6))), 45.57/7.21 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl23])). 45.57/7.21 thf(zip_derived_cl42, plain, 45.57/7.21 (![X2 : a, X4 : a, X6 : a]: 45.57/7.21 (~ ('#sk5' @ X2 @ X4) | ~ ('#sk5' @ X4 @ X6) | ('#sk5' @ X2 @ X6))), 45.57/7.21 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl30])). 45.57/7.21 thf(zip_derived_cl145, plain, 45.57/7.21 (![X2 : a > a > $o]: 45.57/7.21 ( ('#form401' @ X2) 45.57/7.21 | ~ (((!!) @ (^[Y0 : a]: 45.57/7.21 (((!!) @ (^[Y1 : a]: 45.57/7.21 ((((('#sk1' @ Y0 @ Y1) | ('#sk2' @ Y0 @ 45.57/7.21 Y1))) => 45.57/7.21 (X2 @ Y0 @ Y1))))))))))), 45.57/7.21 define([status(thm)])). 45.57/7.21 thf(zip_derived_cl146, plain, 45.57/7.21 (![X2 : a > a > $o]: 45.57/7.21 (~ (((!!) @ (^[Y0 : a]: 45.57/7.21 ((((('#sk1' @ ('#sk47' @ X2) @ Y0) | ('#sk2' @ 45.57/7.21 ('#sk47' @ X2) @ Y0))) => 45.57/7.21 (X2 @ ('#sk47' @ X2) @ Y0)))))) 45.57/7.21 | ('#form401' @ X2))), 45.57/7.21 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl145])). 45.57/7.21 thf(zip_derived_cl161, plain, 45.57/7.21 (![X2 : a > a > $o]: 45.57/7.21 (~ ((((('#sk1' @ ('#sk47' @ X2) @ ('#sk77' @ X2)) | ('#sk2' @ 45.57/7.21 ('#sk47' @ X2) @ ('#sk77' @ X2)))) => 45.57/7.21 (X2 @ ('#sk47' @ X2) @ ('#sk77' @ X2)))) 45.57/7.21 | ('#form401' @ X2))), 45.57/7.21 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl146])). 45.57/7.21 thf(zip_derived_cl174, plain, 45.57/7.21 (![X2 : a > a > $o]: 45.57/7.21 ( ((('#sk1' @ ('#sk47' @ X2) @ ('#sk77' @ X2)) | ('#sk2' @ 45.57/7.21 ('#sk47' @ X2) @ ('#sk77' @ X2)))) 45.57/7.21 | ('#form401' @ X2))), 45.57/7.21 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl161])). 45.57/7.21 thf(zip_derived_cl182, plain, 45.57/7.21 (![X2 : a > a > $o]: 45.57/7.21 ( ('#sk1' @ ('#sk47' @ X2) @ ('#sk77' @ X2)) 45.57/7.21 | ('#sk2' @ ('#sk47' @ X2) @ ('#sk77' @ X2)) 45.57/7.21 | ('#form401' @ X2))), 45.57/7.21 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl174])). 45.57/7.21 thf(zip_derived_cl143, plain, 45.57/7.21 (![X2 : a > a > $o]: 45.57/7.21 ( (X2 @ ('#sk157' @ X2) @ ('#sk225' @ X2)) 45.57/7.21 | (X2 @ '#sk7' @ '#sk8') 45.57/7.21 | ~ ('#form9') 45.57/7.21 | ('#form11') 45.57/7.21 | ~ (((!!) @ (^[Y0 : a]: 45.57/7.21 (((!!) @ (^[Y1 : a]: 45.57/7.21 ((((('#sk1' @ Y0 @ Y1) | ('#sk2' @ Y0 @ 45.57/7.21 Y1))) => 45.57/7.21 (X2 @ Y0 @ Y1))))))))))), 45.57/7.21 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl130])). 45.57/7.21 thf(zip_derived_cl145, plain, 45.57/7.21 (![X2 : a > a > $o]: 45.57/7.21 ( ('#form401' @ X2) 45.57/7.21 | ~ (((!!) @ (^[Y0 : a]: 45.57/7.21 (((!!) @ (^[Y1 : a]: 45.57/7.21 ((((('#sk1' @ Y0 @ Y1) | ('#sk2' @ Y0 @ 45.57/7.21 Y1))) => 45.57/7.21 (X2 @ Y0 @ Y1))))))))))), 45.57/7.21 define([status(thm)])). 45.57/7.21 thf(zip_derived_cl159, plain, 45.57/7.21 (![X2 : a > a > $o]: 45.57/7.21 (~ ('#form401' @ (^[Y0 : a,Y1 : a]: (X2 @ Y0 @ Y1))) 45.57/7.21 | ('#form11') 45.57/7.21 | ~ ('#form9') 45.57/7.21 | (X2 @ '#sk7' @ '#sk8') 45.57/7.21 | (X2 @ ('#sk157' @ X2) @ ('#sk225' @ X2)))), 45.57/7.21 inference('renaming', [status(thm)], 45.57/7.21 [zip_derived_cl143, zip_derived_cl145])). 45.57/7.21 thf(zip_derived_cl172, plain, 45.57/7.21 (![X2 : a > a > $o]: 45.57/7.21 (~ ('#form401' @ X2) 45.57/7.21 | ('#form11') 45.57/7.21 | ~ ('#form9') 45.57/7.21 | (X2 @ '#sk7' @ '#sk8') 45.57/7.21 | (X2 @ ('#sk157' @ X2) @ ('#sk225' @ X2)))), 45.57/7.21 inference('ho_norm', [status(thm)], [zip_derived_cl159])). 45.57/7.21 thf(zip_derived_cl61, plain, 45.57/7.21 (( (((((!!) @ (^[Y0 : a]: 45.57/7.21 (((!!) @ (^[Y1 : a]: 45.57/7.21 ((((('#sk1' @ Y0 @ Y1) | ('#sk2' @ Y0 @ Y1))) => 45.57/7.21 ('#sk21' @ Y0 @ Y1))))))))) & 45.57/7.21 (((!!) @ (^[Y0 : a]: 45.57/7.21 (((!!) @ (^[Y1 : a]: 45.57/7.21 (((!!) @ (^[Y2 : a]: 45.57/7.21 ((((('#sk21' @ Y0 @ Y1) & 45.57/7.21 ('#sk21' @ Y1 @ Y2))) => 45.57/7.21 ('#sk21' @ Y0 @ Y2)))))))))))))) 45.57/7.21 | ('#form11') 45.57/7.21 | ~ ('#form9'))), 45.57/7.21 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl47])). 45.57/7.21 thf(zip_derived_cl72, plain, 45.57/7.21 (( (((!!) @ (^[Y0 : a]: 45.57/7.21 (((!!) @ (^[Y1 : a]: 45.57/7.21 (((!!) @ (^[Y2 : a]: 45.57/7.21 ((((('#sk21' @ Y0 @ Y1) & 45.57/7.21 ('#sk21' @ Y1 @ Y2))) => 45.57/7.21 ('#sk21' @ Y0 @ Y2)))))))))))) 45.57/7.21 | ~ ('#form9') 45.57/7.21 | ('#form11'))), 45.57/7.21 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl61])). 45.57/7.21 thf(zip_derived_cl85, plain, 45.57/7.21 (![X2 : a]: 45.57/7.21 ( (((!!) @ (^[Y0 : a]: 45.57/7.21 (((!!) @ (^[Y1 : a]: 45.57/7.21 ((((('#sk21' @ X2 @ Y0) & ('#sk21' @ Y0 @ 45.57/7.21 Y1))) => 45.57/7.21 ('#sk21' @ X2 @ Y1))))))))) 45.57/7.21 | ('#form11') 45.57/7.21 | ~ ('#form9'))), 45.57/7.21 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl72])). 45.57/7.21 thf(zip_derived_cl101, plain, 45.57/7.21 (![X2 : a, X4 : a]: 45.57/7.21 ( (((!!) @ (^[Y0 : a]: 45.57/7.21 ((((('#sk21' @ X2 @ X4) & ('#sk21' @ X4 @ Y0))) => 45.57/7.21 ('#sk21' @ X2 @ Y0)))))) 45.57/7.21 | ~ ('#form9') 45.57/7.21 | ('#form11'))), 45.57/7.21 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl85])). 45.57/7.21 thf(zip_derived_cl111, plain, 45.57/7.21 (![X2 : a, X4 : a, X6 : a]: 45.57/7.21 ( ((((('#sk21' @ X2 @ X4) & ('#sk21' @ X4 @ X6))) => ('#sk21' @ X2 @ 45.57/7.21 X6))) 45.57/7.21 | ('#form11') 45.57/7.21 | ~ ('#form9'))), 45.57/7.21 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl101])). 45.57/7.21 thf(zip_derived_cl123, plain, 45.57/7.21 (![X2 : a, X4 : a, X6 : a]: 45.57/7.21 (~ ((('#sk21' @ X2 @ X4) & ('#sk21' @ X4 @ X6))) 45.57/7.21 | ('#sk21' @ X2 @ X6) 45.57/7.21 | ~ ('#form9') 45.57/7.21 | ('#form11'))), 45.57/7.21 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl111])). 45.57/7.21 thf(zip_derived_cl136, plain, 45.57/7.21 (![X2 : a, X4 : a, X6 : a]: 45.57/7.21 (~ ('#sk21' @ X2 @ X4) 45.57/7.21 | ~ ('#sk21' @ X4 @ X6) 45.57/7.21 | ('#form11') 45.57/7.21 | ~ ('#form9') 45.57/7.21 | ('#sk21' @ X2 @ X6))), 45.57/7.21 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl123])). 45.57/7.21 thf(zip_derived_cl71, plain, 45.57/7.21 (( (((!!) @ (^[Y0 : a]: 45.57/7.21 (((!!) @ (^[Y1 : a]: 45.57/7.21 ((((('#sk1' @ Y0 @ Y1) | ('#sk2' @ Y0 @ Y1))) => 45.57/7.21 ('#sk21' @ Y0 @ Y1))))))))) 45.57/7.21 | ~ ('#form9') 45.57/7.21 | ('#form11'))), 45.57/7.21 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl61])). 45.57/7.21 thf(zip_derived_cl84, plain, 45.57/7.21 (![X2 : a]: 45.57/7.21 ( (((!!) @ (^[Y0 : a]: 45.57/7.21 ((((('#sk1' @ X2 @ Y0) | ('#sk2' @ X2 @ Y0))) => 45.57/7.21 ('#sk21' @ X2 @ Y0)))))) 45.57/7.21 | ('#form11') 45.57/7.21 | ~ ('#form9'))), 45.57/7.21 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl71])). 45.57/7.21 thf(zip_derived_cl100, plain, 45.57/7.21 (![X2 : a, X4 : a]: 45.57/7.21 ( ((((('#sk1' @ X2 @ X4) | ('#sk2' @ X2 @ X4))) => ('#sk21' @ X2 @ X4))) 45.57/7.21 | ~ ('#form9') 45.57/7.21 | ('#form11'))), 45.57/7.21 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl84])). 45.57/7.21 thf(zip_derived_cl110, plain, 45.57/7.21 (![X2 : a, X4 : a]: 45.57/7.21 (~ ((('#sk1' @ X2 @ X4) | ('#sk2' @ X2 @ X4))) 45.57/7.21 | ('#sk21' @ X2 @ X4) 45.57/7.21 | ('#form11') 45.57/7.21 | ~ ('#form9'))), 45.57/7.21 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl100])). 45.57/7.21 thf(zip_derived_cl122, plain, 45.57/7.21 (![X2 : a, X4 : a]: 45.57/7.21 (~ ('#sk2' @ X2 @ X4) 45.57/7.21 | ~ ('#form9') 45.57/7.21 | ('#form11') 45.57/7.21 | ('#sk21' @ X2 @ X4))), 45.57/7.21 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl110])). 45.57/7.21 thf(zip_derived_cl121, plain, 45.57/7.21 (![X2 : a, X4 : a]: 45.57/7.21 (~ ('#sk1' @ X2 @ X4) 45.57/7.21 | ~ ('#form9') 45.57/7.21 | ('#form11') 45.57/7.21 | ('#sk21' @ X2 @ X4))), 45.57/7.21 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl110])). 45.57/7.21 thf(zip_derived_cl175, plain, 45.57/7.21 (![X2 : a > a > $o]: 45.57/7.21 (~ (X2 @ ('#sk47' @ X2) @ ('#sk77' @ X2)) | ('#form401' @ X2))), 45.57/7.21 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl161])). 45.57/7.21 thf(zip_derived_cl7984, plain, ($false), 45.57/7.21 inference('eprover', [status(thm)], 45.57/7.21 [zip_derived_cl186, zip_derived_cl188, zip_derived_cl190, 45.57/7.21 zip_derived_cl192, zip_derived_cl80, zip_derived_cl189, 45.57/7.21 zip_derived_cl141, zip_derived_cl191, zip_derived_cl62, 45.57/7.21 zip_derived_cl387, zip_derived_cl388, zip_derived_cl142, 45.57/7.21 zip_derived_cl179, zip_derived_cl152, zip_derived_cl158, 45.57/7.21 zip_derived_cl178, zip_derived_cl169, zip_derived_cl153, 45.57/7.21 zip_derived_cl222, zip_derived_cl223, zip_derived_cl173, 45.57/7.21 zip_derived_cl224, zip_derived_cl147, zip_derived_cl32, 45.57/7.21 zip_derived_cl31, zip_derived_cl42, zip_derived_cl182, 45.57/7.21 zip_derived_cl172, zip_derived_cl136, zip_derived_cl122, 45.57/7.21 zip_derived_cl121, zip_derived_cl175])). 45.57/7.21 45.57/7.21 % SZS output end Refutation 45.57/7.21 45.57/7.21 45.57/7.21 % Terminating... 46.13/7.38 % Runner terminated. 46.13/7.39 % Zipperpin 1.5 exiting 46.13/7.41 EOF