0.11/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.11/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.QfFoI7duWf true 0.13/0.34 % Computer : n021.cluster.edu 0.13/0.34 % Model : x86_64 x86_64 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.13/0.34 % Memory : 8042.1875MB 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64 0.13/0.34 % CPULimit : 1200 0.13/0.34 % WCLimit : 120 0.13/0.34 % DateTime : Tue Jul 13 11:50:25 EDT 2021 0.13/0.34 % CPUTime : 0.13/0.34 % Running portfolio for 120 s 0.13/0.34 % File : /export/starexec/sandbox/benchmark/theBenchmark.p 0.13/0.35 % Number of cores: 8 0.13/0.35 % Python version: Python 3.6.8 0.13/0.35 % Running in HO mode 0.55/0.67 % Total configuration time : 828 0.55/0.67 % Estimated wc time : 983 0.55/0.67 % Estimated cpu time (8 cpus) : 122.875 0.55/0.70 % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 47s 0.55/0.73 % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 47s 0.56/0.75 % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 47s 0.56/0.75 % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 18s 0.56/0.76 % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 53s 0.56/0.76 % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 41s 0.56/0.76 % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 24s 0.56/0.76 % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 35s 31.82/4.63 % Solved by lams/20_acsne_simpl.sh. 31.82/4.63 % running E: timeout 13 /export/starexec/sandbox/solver/bin/lams/eprover-ho --pos-ext=all --neg-ext=all /export/starexec/sandbox/tmp/tmp.QfFoI7duWf/e_input45a00b --cpu-limit=11 --auto -s -p 31.82/4.63 % done 485 iterations in 3.725s 31.82/4.63 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p' 31.82/4.63 % SZS output start Refutation 31.82/4.63 thf(a_type, type, a: $tType). 31.82/4.63 thf('#sk3_type', type, '#sk3': a). 31.82/4.63 thf('#form29_type', type, '#form29': $o). 31.82/4.63 thf('#sk195_type', type, '#sk195': (a > a > $o) > a). 31.82/4.63 thf('#sk132_type', type, '#sk132': (a > a > $o) > a). 31.82/4.63 thf('#sk2_type', type, '#sk2': a > a > $o). 31.82/4.63 thf('#sk106_type', type, '#sk106': (a > a > $o) > a). 31.82/4.63 thf('#sk20_type', type, '#sk20': a). 31.82/4.63 thf('#sk162_type', type, '#sk162': (a > a > $o) > a). 31.82/4.63 thf('#sk5_type', type, '#sk5': a > a > $o). 31.82/4.63 thf('#form19_type', type, '#form19': $o). 31.82/4.63 thf('#sk1_type', type, '#sk1': a > a > $o). 31.82/4.63 thf('#sk7_type', type, '#sk7': a). 31.82/4.63 thf('#sk87_type', type, '#sk87': (a > a > $o) > a). 31.82/4.63 thf('#form9_type', type, '#form9': $o). 31.82/4.63 thf('#sk6_type', type, '#sk6': a). 31.82/4.63 thf('#sk143_type', type, '#sk143': (a > a > $o) > a). 31.82/4.63 thf('#sk38_type', type, '#sk38': a). 31.82/4.63 thf('#sk8_type', type, '#sk8': a > a > $o). 31.82/4.63 thf('#sk10_type', type, '#sk10': a). 31.82/4.63 thf('#sk4_type', type, '#sk4': a). 31.82/4.63 thf('#form400_type', type, '#form400': (a > a > $o) > $o). 31.82/4.63 thf('#form105_type', type, '#form105': (a > a > $o) > $o). 31.82/4.63 thf('#sk88_type', type, '#sk88': a > a > $o). 31.82/4.63 thf('#form540_type', type, '#form540': $o). 31.82/4.63 thf('#sk246_type', type, '#sk246': (a > a > $o) > a). 31.82/4.63 thf('#sk208_type', type, '#sk208': (a > a > $o) > a). 31.82/4.63 thf('#sk187_type', type, '#sk187': (a > a > $o) > a). 31.82/4.63 thf(cTHM250G_pme, conjecture, 31.82/4.63 (![R:( a > a > $o ),S:( a > a > $o ),Xx:a,Xy:a]: 31.82/4.63 ( ( ~( ( ( ![Xx0:a,Xy0:a]: 31.82/4.63 ( ( ( ![Xp1:( a > a > $o )]: 31.82/4.63 ( ( ( ![Xx1:a,Xy1:a,Xz:a]: 31.82/4.63 ( ( ( Xp1 @ Xx1 @ Xy1 ) & ( Xp1 @ Xy1 @ Xz ) ) => 31.82/4.63 ( Xp1 @ Xx1 @ Xz ) ) ) & 31.82/4.63 ( ![Xx1:a,Xy1:a]: 31.82/4.63 ( ( S @ Xx1 @ Xy1 ) => ( Xp1 @ Xx1 @ Xy1 ) ) ) ) => 31.82/4.63 ( Xp1 @ Xx0 @ Xy0 ) ) ) | 31.82/4.63 ( ![Xp1:( a > a > $o )]: 31.82/4.63 ( ( ( ![Xx1:a,Xy1:a]: 31.82/4.63 ( ( R @ Xx1 @ Xy1 ) => ( Xp1 @ Xx1 @ Xy1 ) ) ) & 31.82/4.63 ( ![Xx1:a,Xy1:a,Xz:a]: 31.82/4.63 ( ( ( Xp1 @ Xx1 @ Xy1 ) & ( Xp1 @ Xy1 @ Xz ) ) => 31.82/4.63 ( Xp1 @ Xx1 @ Xz ) ) ) ) => 31.82/4.63 ( Xp1 @ Xx0 @ Xy0 ) ) ) ) => 31.82/4.63 ( ![Xp1:( a > a > $o )]: 31.82/4.63 ( ( ( ![Xx1:a,Xy1:a]: 31.82/4.63 ( ( ( R @ Xx1 @ Xy1 ) | ( S @ Xx1 @ Xy1 ) ) => 31.82/4.63 ( Xp1 @ Xx1 @ Xy1 ) ) ) & 31.82/4.63 ( ![Xx1:a,Xy1:a,Xz:a]: 31.82/4.63 ( ( ( Xp1 @ Xx1 @ Xy1 ) & ( Xp1 @ Xy1 @ Xz ) ) => 31.82/4.63 ( Xp1 @ Xx1 @ Xz ) ) ) ) => 31.82/4.63 ( Xp1 @ Xx0 @ Xy0 ) ) ) ) ) & 31.82/4.63 ( ![Xx0:a,Xy0:a,Xz:a]: 31.82/4.63 ( ( ( ![Xp1:( a > a > $o )]: 31.82/4.63 ( ( ( ![Xx1:a,Xy1:a,Xz0:a]: 31.82/4.63 ( ( ( Xp1 @ Xx1 @ Xy1 ) & ( Xp1 @ Xy1 @ Xz0 ) ) => 31.82/4.63 ( Xp1 @ Xx1 @ Xz0 ) ) ) & 31.82/4.63 ( ![Xx1:a,Xy1:a]: 31.82/4.63 ( ( ( S @ Xx1 @ Xy1 ) | ( R @ Xx1 @ Xy1 ) ) => 31.82/4.63 ( Xp1 @ Xx1 @ Xy1 ) ) ) ) => 31.82/4.63 ( Xp1 @ Xx0 @ Xy0 ) ) ) & 31.82/4.63 ( ![Xp1:( a > a > $o )]: 31.82/4.63 ( ( ( ![Xx1:a,Xy1:a]: 31.82/4.63 ( ( ( S @ Xx1 @ Xy1 ) | ( R @ Xx1 @ Xy1 ) ) => 31.82/4.63 ( Xp1 @ Xx1 @ Xy1 ) ) ) & 31.82/4.63 ( ![Xx1:a,Xy1:a,Xz0:a]: 31.82/4.63 ( ( ( Xp1 @ Xx1 @ Xy1 ) & ( Xp1 @ Xy1 @ Xz0 ) ) => 31.82/4.63 ( Xp1 @ Xx1 @ Xz0 ) ) ) ) => 31.82/4.63 ( Xp1 @ Xy0 @ Xz ) ) ) ) => 31.82/4.63 ( ![Xp1:( a > a > $o )]: 31.82/4.63 ( ( ( ![Xx1:a,Xy1:a]: 31.82/4.63 ( ( ( S @ Xx1 @ Xy1 ) | ( R @ Xx1 @ Xy1 ) ) => 31.82/4.63 ( Xp1 @ Xx1 @ Xy1 ) ) ) & 31.82/4.63 ( ![Xx1:a,Xy1:a,Xz0:a]: 31.82/4.63 ( ( ( Xp1 @ Xx1 @ Xy1 ) & ( Xp1 @ Xy1 @ Xz0 ) ) => 31.82/4.63 ( Xp1 @ Xx1 @ Xz0 ) ) ) ) => 31.82/4.63 ( Xp1 @ Xx0 @ Xz ) ) ) ) ) ) => 31.82/4.63 ( ![Xp1:( a > a > $o )]: 31.82/4.63 ( ( ( ![Xx0:a,Xy0:a]: 31.82/4.63 ( ( ( S @ Xx0 @ Xy0 ) | ( R @ Xx0 @ Xy0 ) ) => 31.82/4.63 ( Xp1 @ Xx0 @ Xy0 ) ) ) & 31.82/4.63 ( ![Xx0:a,Xy0:a,Xz:a]: 31.82/4.63 ( ( ( Xp1 @ Xx0 @ Xy0 ) & ( Xp1 @ Xy0 @ Xz ) ) => 31.82/4.63 ( Xp1 @ Xx0 @ Xz ) ) ) ) => 31.82/4.63 ( Xp1 @ Xx @ Xy ) ) ) ) ) | 31.82/4.63 ( ![Xp1:( a > a > $o )]: 31.82/4.63 ( ( ( ![Xx0:a,Xy0:a]: 31.82/4.63 ( ( ( S @ Xx0 @ Xy0 ) | ( R @ Xx0 @ Xy0 ) ) => 31.82/4.63 ( Xp1 @ Xx0 @ Xy0 ) ) ) & 31.82/4.63 ( ![Xx0:a,Xy0:a,Xz:a]: 31.82/4.63 ( ( ( Xp1 @ Xx0 @ Xy0 ) & ( Xp1 @ Xy0 @ Xz ) ) => 31.82/4.63 ( Xp1 @ Xx0 @ Xz ) ) ) ) => 31.82/4.63 ( Xp1 @ Xx @ Xy ) ) ) ))). 31.82/4.63 thf(zf_stmt_0, negated_conjecture, 31.82/4.63 (~( ![R:( a > a > $o ),S:( a > a > $o ),Xx:a,Xy:a]: 31.82/4.63 ( ( ~( ( ( ![Xx0:a,Xy0:a]: 31.82/4.63 ( ( ( ![Xp1:( a > a > $o )]: 31.82/4.63 ( ( ( ![Xx1:a,Xy1:a,Xz:a]: 31.82/4.63 ( ( ( Xp1 @ Xx1 @ Xy1 ) & ( Xp1 @ Xy1 @ Xz ) ) => 31.82/4.63 ( Xp1 @ Xx1 @ Xz ) ) ) & 31.82/4.63 ( ![Xx1:a,Xy1:a]: 31.82/4.63 ( ( S @ Xx1 @ Xy1 ) => ( Xp1 @ Xx1 @ Xy1 ) ) ) ) => 31.82/4.63 ( Xp1 @ Xx0 @ Xy0 ) ) ) | 31.82/4.63 ( ![Xp1:( a > a > $o )]: 31.82/4.63 ( ( ( ![Xx1:a,Xy1:a]: 31.82/4.63 ( ( R @ Xx1 @ Xy1 ) => ( Xp1 @ Xx1 @ Xy1 ) ) ) & 31.82/4.63 ( ![Xx1:a,Xy1:a,Xz:a]: 31.82/4.63 ( ( ( Xp1 @ Xx1 @ Xy1 ) & ( Xp1 @ Xy1 @ Xz ) ) => 31.82/4.63 ( Xp1 @ Xx1 @ Xz ) ) ) ) => 31.82/4.63 ( Xp1 @ Xx0 @ Xy0 ) ) ) ) => 31.82/4.63 ( ![Xp1:( a > a > $o )]: 31.82/4.63 ( ( ( ![Xx1:a,Xy1:a]: 31.82/4.63 ( ( ( R @ Xx1 @ Xy1 ) | ( S @ Xx1 @ Xy1 ) ) => 31.82/4.63 ( Xp1 @ Xx1 @ Xy1 ) ) ) & 31.82/4.63 ( ![Xx1:a,Xy1:a,Xz:a]: 31.82/4.63 ( ( ( Xp1 @ Xx1 @ Xy1 ) & ( Xp1 @ Xy1 @ Xz ) ) => 31.82/4.63 ( Xp1 @ Xx1 @ Xz ) ) ) ) => 31.82/4.63 ( Xp1 @ Xx0 @ Xy0 ) ) ) ) ) & 31.82/4.63 ( ![Xx0:a,Xy0:a,Xz:a]: 31.82/4.63 ( ( ( ![Xp1:( a > a > $o )]: 31.82/4.63 ( ( ( ![Xx1:a,Xy1:a,Xz0:a]: 31.82/4.63 ( ( ( Xp1 @ Xx1 @ Xy1 ) & ( Xp1 @ Xy1 @ Xz0 ) ) => 31.82/4.63 ( Xp1 @ Xx1 @ Xz0 ) ) ) & 31.82/4.63 ( ![Xx1:a,Xy1:a]: 31.82/4.63 ( ( ( S @ Xx1 @ Xy1 ) | ( R @ Xx1 @ Xy1 ) ) => 31.82/4.63 ( Xp1 @ Xx1 @ Xy1 ) ) ) ) => 31.82/4.63 ( Xp1 @ Xx0 @ Xy0 ) ) ) & 31.82/4.63 ( ![Xp1:( a > a > $o )]: 31.82/4.63 ( ( ( ![Xx1:a,Xy1:a]: 31.82/4.63 ( ( ( S @ Xx1 @ Xy1 ) | ( R @ Xx1 @ Xy1 ) ) => 31.82/4.63 ( Xp1 @ Xx1 @ Xy1 ) ) ) & 31.82/4.63 ( ![Xx1:a,Xy1:a,Xz0:a]: 31.82/4.63 ( ( ( Xp1 @ Xx1 @ Xy1 ) & ( Xp1 @ Xy1 @ Xz0 ) ) => 31.82/4.63 ( Xp1 @ Xx1 @ Xz0 ) ) ) ) => 31.82/4.63 ( Xp1 @ Xy0 @ Xz ) ) ) ) => 31.82/4.63 ( ![Xp1:( a > a > $o )]: 31.82/4.63 ( ( ( ![Xx1:a,Xy1:a]: 31.82/4.63 ( ( ( S @ Xx1 @ Xy1 ) | ( R @ Xx1 @ Xy1 ) ) => 31.82/4.63 ( Xp1 @ Xx1 @ Xy1 ) ) ) & 31.82/4.63 ( ![Xx1:a,Xy1:a,Xz0:a]: 31.82/4.63 ( ( ( Xp1 @ Xx1 @ Xy1 ) & ( Xp1 @ Xy1 @ Xz0 ) ) => 31.82/4.63 ( Xp1 @ Xx1 @ Xz0 ) ) ) ) => 31.82/4.63 ( Xp1 @ Xx0 @ Xz ) ) ) ) ) ) => 31.82/4.63 ( ![Xp1:( a > a > $o )]: 31.82/4.63 ( ( ( ![Xx0:a,Xy0:a]: 31.82/4.63 ( ( ( S @ Xx0 @ Xy0 ) | ( R @ Xx0 @ Xy0 ) ) => 31.82/4.63 ( Xp1 @ Xx0 @ Xy0 ) ) ) & 31.82/4.63 ( ![Xx0:a,Xy0:a,Xz:a]: 31.82/4.63 ( ( ( Xp1 @ Xx0 @ Xy0 ) & ( Xp1 @ Xy0 @ Xz ) ) => 31.82/4.63 ( Xp1 @ Xx0 @ Xz ) ) ) ) => 31.82/4.63 ( Xp1 @ Xx @ Xy ) ) ) ) ) | 31.82/4.63 ( ![Xp1:( a > a > $o )]: 31.82/4.63 ( ( ( ![Xx0:a,Xy0:a]: 31.82/4.63 ( ( ( S @ Xx0 @ Xy0 ) | ( R @ Xx0 @ Xy0 ) ) => 31.82/4.63 ( Xp1 @ Xx0 @ Xy0 ) ) ) & 31.82/4.63 ( ![Xx0:a,Xy0:a,Xz:a]: 31.82/4.63 ( ( ( Xp1 @ Xx0 @ Xy0 ) & ( Xp1 @ Xy0 @ Xz ) ) => 31.82/4.63 ( Xp1 @ Xx0 @ Xz ) ) ) ) => 31.82/4.63 ( Xp1 @ Xx @ Xy ) ) ) ) )), 31.82/4.63 inference('cnf.neg', [status(esa)], [cTHM250G_pme])). 31.82/4.63 thf(zip_derived_cl0, plain, 31.82/4.63 (~ (((!!) @ (^[Y0 : a > a > $o]: 31.82/4.63 (((!!) @ (^[Y1 : a > a > $o]: 31.82/4.63 (((!!) @ (^[Y2 : a]: 31.82/4.63 (((!!) @ (^[Y3 : a]: 31.82/4.63 (((((~) @ (((( 31.82/4.63 (( 31.82/4.63 (!!) @ ( 31.82/4.63 ^[Y4 : a]: 31.82/4.63 (( 31.82/4.63 (!!) @ ( 31.82/4.63 ^[Y5 : a]: 31.82/4.63 (( 31.82/4.63 (( 31.82/4.63 (( 31.82/4.63 (!!) @ ( 31.82/4.63 ^[Y6 : 31.82/4.63 a > a > $o]: 31.82/4.63 (( 31.82/4.63 (( 31.82/4.63 (( 31.82/4.63 (!!) @ ( 31.82/4.63 ^[Y7 : a]: 31.82/4.63 (( 31.82/4.63 (!!) @ ( 31.82/4.63 ^[Y8 : a]: 31.82/4.63 (( 31.82/4.63 (!!) @ ( 31.82/4.63 ^[Y9 : a]: 31.82/4.63 (( 31.82/4.63 (( 31.82/4.63 (Y6 @ 31.82/4.63 Y7 @ 31.82/4.63 Y8) & 31.82/4.63 (Y6 @ 31.82/4.63 Y8 @ Y9))) => 31.82/4.63 (Y6 @ 31.82/4.63 Y7 @ Y9)))))))))))) & 31.82/4.63 (( 31.82/4.63 (!!) @ ( 31.82/4.63 ^[Y7 : a]: 31.82/4.63 (( 31.82/4.63 (!!) @ ( 31.82/4.63 ^[Y8 : a]: 31.82/4.63 (( 31.82/4.63 (Y1 @ 31.82/4.63 Y7 @ 31.82/4.63 Y8) => 31.82/4.63 (Y6 @ 31.82/4.63 Y7 @ Y8))))))))))) => 31.82/4.63 (Y6 @ 31.82/4.63 Y4 @ Y5)))))) | 31.82/4.63 (( 31.82/4.63 (!!) @ ( 31.82/4.63 ^[Y6 : 31.82/4.63 a > a > $o]: 31.82/4.63 (( 31.82/4.63 (( 31.82/4.63 (( 31.82/4.63 (!!) @ ( 31.82/4.63 ^[Y7 : a]: 31.82/4.63 (( 31.82/4.63 (!!) @ ( 31.82/4.63 ^[Y8 : a]: 31.82/4.63 (( 31.82/4.63 (Y0 @ 31.82/4.63 Y7 @ 31.82/4.63 Y8) => 31.82/4.63 (Y6 @ 31.82/4.63 Y7 @ Y8))))))))) & 31.82/4.63 (( 31.82/4.63 (!!) @ ( 31.82/4.63 ^[Y7 : a]: 31.82/4.63 (( 31.82/4.63 (!!) @ ( 31.82/4.63 ^[Y8 : a]: 31.82/4.63 (( 31.82/4.63 (!!) @ ( 31.82/4.63 ^[Y9 : a]: 31.82/4.63 (( 31.82/4.63 (( 31.82/4.63 (Y6 @ 31.82/4.63 Y7 @ 31.82/4.63 Y8) & 31.82/4.63 (Y6 @ 31.82/4.63 Y8 @ Y9))) => 31.82/4.63 (Y6 @ 31.82/4.63 Y7 @ Y9)))))))))))))) => 31.82/4.63 (Y6 @ 31.82/4.63 Y4 @ Y5)))))))) => 31.82/4.63 (( 31.82/4.63 (!!) @ ( 31.82/4.63 ^[Y6 : 31.82/4.63 a > a > $o]: 31.82/4.63 (( 31.82/4.63 (( 31.82/4.63 (( 31.82/4.63 (!!) @ ( 31.82/4.63 ^[Y7 : a]: 31.82/4.63 (( 31.82/4.63 (!!) @ ( 31.82/4.63 ^[Y8 : a]: 31.82/4.63 (( 31.82/4.63 (( 31.82/4.63 (Y0 @ 31.82/4.63 Y7 @ 31.82/4.63 Y8) | 31.82/4.63 (Y1 @ 31.82/4.63 Y7 @ Y8))) => 31.82/4.63 (Y6 @ 31.82/4.63 Y7 @ Y8))))))))) & 31.82/4.63 (( 31.82/4.63 (!!) @ ( 31.82/4.63 ^[Y7 : a]: 31.82/4.63 (( 31.82/4.63 (!!) @ ( 31.82/4.63 ^[Y8 : a]: 31.82/4.63 (( 31.82/4.63 (!!) @ ( 31.82/4.63 ^[Y9 : a]: 31.82/4.63 (( 31.82/4.63 (( 31.82/4.63 (Y6 @ 31.82/4.63 Y7 @ 31.82/4.63 Y8) & 31.82/4.63 (Y6 @ 31.82/4.63 Y8 @ Y9))) => 31.82/4.63 (Y6 @ 31.82/4.63 Y7 @ Y9)))))))))))))) => 31.82/4.63 (Y6 @ 31.82/4.63 Y4 @ Y5)))))))))))))) & 31.82/4.63 (( 31.82/4.63 (!!) @ ( 31.82/4.63 ^[Y4 : a]: 31.82/4.63 (( 31.82/4.63 (!!) @ ( 31.82/4.63 ^[Y5 : a]: 31.82/4.63 (( 31.82/4.63 (!!) @ ( 31.82/4.63 ^[Y6 : a]: 31.82/4.63 (( 31.82/4.63 (( 31.82/4.63 (( 31.82/4.63 (!!) @ ( 31.82/4.63 ^[Y7 : 31.82/4.63 a > a > $o]: 31.82/4.63 (( 31.82/4.63 (( 31.82/4.63 (( 31.82/4.63 (!!) @ ( 31.82/4.63 ^[Y8 : a]: 31.82/4.63 (( 31.82/4.63 (!!) @ ( 31.82/4.63 ^[Y9 : a]: 31.82/4.63 (( 31.82/4.63 (!!) @ ( 31.82/4.63 ^[Y10 : a]: 31.82/4.63 (( 31.82/4.63 (( 31.82/4.63 (Y7 @ 31.82/4.63 Y8 @ 31.82/4.63 Y9) & 31.82/4.63 (Y7 @ 31.82/4.63 Y9 @ Y10))) => 31.82/4.63 (Y7 @ 31.82/4.63 Y8 @ Y10)))))))))))) & 31.82/4.63 (( 31.82/4.63 (!!) @ ( 31.82/4.63 ^[Y8 : a]: 31.82/4.63 (( 31.82/4.63 (!!) @ ( 31.82/4.63 ^[Y9 : a]: 31.82/4.63 (( 31.82/4.63 (( 31.82/4.63 (Y1 @ 31.82/4.63 Y8 @ 31.82/4.63 Y9) | 31.82/4.63 (Y0 @ 31.82/4.63 Y8 @ Y9))) => 31.82/4.63 (Y7 @ 31.82/4.63 Y8 @ Y9))))))))))) => 31.82/4.63 (Y7 @ 31.82/4.63 Y4 @ Y5)))))) & 31.82/4.63 (( 31.82/4.63 (!!) @ ( 31.82/4.63 ^[Y7 : 31.82/4.63 a > a > $o]: 31.82/4.63 (( 31.82/4.63 (( 31.82/4.63 (( 31.82/4.63 (!!) @ ( 31.82/4.63 ^[Y8 : a]: 31.82/4.63 (( 31.82/4.63 (!!) @ ( 31.82/4.63 ^[Y9 : a]: 31.82/4.63 (( 31.82/4.63 (( 31.82/4.63 (Y1 @ 31.82/4.63 Y8 @ 31.82/4.63 Y9) | 31.82/4.63 (Y0 @ 31.82/4.63 Y8 @ Y9))) => 31.82/4.63 (Y7 @ 31.82/4.63 Y8 @ Y9))))))))) & 31.82/4.63 (( 31.82/4.63 (!!) @ ( 31.82/4.63 ^[Y8 : a]: 31.82/4.63 (( 31.82/4.63 (!!) @ ( 31.82/4.63 ^[Y9 : a]: 31.82/4.63 (( 31.82/4.63 (!!) @ ( 31.82/4.63 ^[Y10 : a]: 31.82/4.63 (( 31.82/4.63 (( 31.82/4.63 (Y7 @ 31.82/4.63 Y8 @ 31.82/4.63 Y9) & 31.82/4.63 (Y7 @ 31.82/4.63 Y9 @ Y10))) => 31.82/4.63 (Y7 @ 31.82/4.63 Y8 @ Y10)))))))))))))) => 31.82/4.63 (Y7 @ 31.82/4.63 Y5 @ Y6)))))))) => 31.82/4.63 (( 31.82/4.63 (!!) @ ( 31.82/4.63 ^[Y7 : 31.82/4.63 a > a > $o]: 31.82/4.63 (( 31.82/4.63 (( 31.82/4.63 (( 31.82/4.63 (!!) @ ( 31.82/4.63 ^[Y8 : a]: 31.82/4.63 (( 31.82/4.63 (!!) @ ( 31.82/4.63 ^[Y9 : a]: 31.82/4.63 (( 31.82/4.63 (( 31.82/4.63 (Y1 @ 31.82/4.63 Y8 @ 31.82/4.63 Y9) | 31.82/4.63 (Y0 @ 31.82/4.63 Y8 @ Y9))) => 31.82/4.63 (Y7 @ 31.82/4.63 Y8 @ Y9))))))))) & 31.82/4.63 (( 31.82/4.63 (!!) @ ( 31.82/4.63 ^[Y8 : a]: 31.82/4.63 (( 31.82/4.63 (!!) @ ( 31.82/4.63 ^[Y9 : a]: 31.82/4.63 (( 31.82/4.63 (!!) @ ( 31.82/4.63 ^[Y10 : a]: 31.82/4.63 (( 31.82/4.63 (( 31.82/4.63 (Y7 @ 31.82/4.63 Y8 @ 31.82/4.63 Y9) & 31.82/4.63 (Y7 @ 31.82/4.63 Y9 @ Y10))) => 31.82/4.63 (Y7 @ 31.82/4.63 Y8 @ Y10)))))))))))))) => 31.82/4.63 (Y7 @ 31.82/4.63 Y4 @ Y6))))))))))))))))))) => 31.82/4.63 (( 31.82/4.63 (!!) @ ( 31.82/4.63 ^[Y4 : 31.82/4.63 a > a > $o]: 31.82/4.63 (( 31.82/4.63 (( 31.82/4.63 (( 31.82/4.63 (!!) @ ( 31.82/4.63 ^[Y5 : a]: 31.82/4.63 (( 31.82/4.63 (!!) @ ( 31.82/4.63 ^[Y6 : a]: 31.82/4.63 (( 31.82/4.63 (( 31.82/4.63 (Y1 @ 31.82/4.63 Y5 @ 31.82/4.63 Y6) | 31.82/4.63 (Y0 @ 31.82/4.63 Y5 @ Y6))) => 31.82/4.63 (Y4 @ 31.82/4.63 Y5 @ Y6))))))))) & 31.82/4.63 (( 31.82/4.63 (!!) @ ( 31.82/4.63 ^[Y5 : a]: 31.82/4.63 (( 31.82/4.63 (!!) @ ( 31.82/4.63 ^[Y6 : a]: 31.82/4.63 (( 31.82/4.63 (!!) @ ( 31.82/4.63 ^[Y7 : a]: 31.82/4.63 (( 31.82/4.63 (( 31.82/4.63 (Y4 @ 31.82/4.63 Y5 @ 31.82/4.63 Y6) & 31.82/4.63 (Y4 @ 31.82/4.63 Y6 @ Y7))) => 31.82/4.63 (Y4 @ 31.82/4.63 Y5 @ Y7)))))))))))))) => 31.82/4.63 (Y4 @ 31.82/4.63 Y2 @ Y3)))))))))) | 31.82/4.63 (((!!) @ (^[Y4 : 31.82/4.63 a > a > $o]: 31.82/4.63 (( 31.82/4.63 (( 31.82/4.63 (( 31.82/4.63 (!!) @ ( 31.82/4.63 ^[Y5 : a]: 31.82/4.63 (( 31.82/4.63 (!!) @ ( 31.82/4.63 ^[Y6 : a]: 31.82/4.63 (( 31.82/4.63 (( 31.82/4.63 (Y1 @ 31.82/4.63 Y5 @ 31.82/4.63 Y6) | 31.82/4.63 (Y0 @ 31.82/4.63 Y5 @ Y6))) => 31.82/4.63 (Y4 @ 31.82/4.63 Y5 @ Y6))))))))) & 31.82/4.63 (( 31.82/4.63 (!!) @ ( 31.82/4.63 ^[Y5 : a]: 31.82/4.63 (( 31.82/4.63 (!!) @ ( 31.82/4.63 ^[Y6 : a]: 31.82/4.63 (( 31.82/4.63 (!!) @ ( 31.82/4.63 ^[Y7 : a]: 31.82/4.63 (( 31.82/4.63 (( 31.82/4.63 (Y4 @ 31.82/4.63 Y5 @ 31.82/4.63 Y6) & 31.82/4.63 (Y4 @ 31.82/4.63 Y6 @ Y7))) => 31.82/4.63 (Y4 @ 31.82/4.63 Y5 @ Y7)))))))))))))) => 31.82/4.63 (Y4 @ 31.82/4.63 Y2 @ Y3))))))))))))))))))))), 31.82/4.63 inference('cnf', [status(esa)], [zf_stmt_0])). 31.82/4.63 thf(zip_derived_cl1, plain, 31.82/4.63 (~ (((!!) @ (^[Y0 : a > a > $o]: 31.82/4.63 (((!!) @ (^[Y1 : a]: 31.82/4.63 (((!!) @ (^[Y2 : a]: 31.82/4.63 (((((~) @ (((((((!!) @ (^[Y3 : a]: 31.82/4.63 (( 31.82/4.63 (!!) @ ( 31.82/4.63 ^[Y4 : a]: 31.82/4.63 (( 31.82/4.63 (( 31.82/4.63 (( 31.82/4.63 (!!) @ ( 31.82/4.63 ^[Y5 : 31.82/4.63 a > a > $o]: 31.82/4.63 (( 31.82/4.63 (( 31.82/4.63 (( 31.82/4.63 (!!) @ ( 31.82/4.63 ^[Y6 : a]: 31.82/4.63 (( 31.82/4.63 (!!) @ ( 31.82/4.63 ^[Y7 : a]: 31.82/4.63 (( 31.82/4.63 (!!) @ ( 31.82/4.63 ^[Y8 : a]: 31.82/4.63 (( 31.82/4.63 (( 31.82/4.63 (Y5 @ 31.82/4.63 Y6 @ 31.82/4.63 Y7) & 31.82/4.63 (Y5 @ 31.82/4.63 Y7 @ Y8))) => 31.82/4.63 (Y5 @ 31.82/4.63 Y6 @ Y8)))))))))))) & 31.82/4.63 (( 31.82/4.63 (!!) @ ( 31.82/4.63 ^[Y6 : a]: 31.82/4.63 (( 31.82/4.63 (!!) @ ( 31.82/4.63 ^[Y7 : a]: 31.82/4.63 (( 31.82/4.63 (Y0 @ 31.82/4.63 Y6 @ 31.82/4.63 Y7) => 31.82/4.63 (Y5 @ 31.82/4.63 Y6 @ Y7))))))))))) => 31.82/4.63 (Y5 @ 31.82/4.63 Y3 @ Y4)))))) | 31.82/4.63 (( 31.82/4.63 (!!) @ ( 31.82/4.63 ^[Y5 : 31.82/4.63 a > a > $o]: 31.82/4.63 (( 31.82/4.63 (( 31.82/4.63 (( 31.82/4.63 (!!) @ ( 31.82/4.63 ^[Y6 : a]: 31.82/4.63 (( 31.82/4.63 (!!) @ ( 31.82/4.63 ^[Y7 : a]: 31.82/4.63 (( 31.82/4.63 ('#sk1' @ 31.82/4.63 Y6 @ 31.82/4.63 Y7) => 31.82/4.63 (Y5 @ 31.82/4.63 Y6 @ Y7))))))))) & 31.82/4.63 (( 31.82/4.63 (!!) @ ( 31.82/4.63 ^[Y6 : a]: 31.82/4.63 (( 31.82/4.63 (!!) @ ( 31.82/4.63 ^[Y7 : a]: 31.82/4.63 (( 31.82/4.63 (!!) @ ( 31.82/4.63 ^[Y8 : a]: 31.82/4.63 (( 31.82/4.63 (( 31.82/4.63 (Y5 @ 31.82/4.63 Y6 @ 31.82/4.63 Y7) & 31.82/4.63 (Y5 @ 31.82/4.63 Y7 @ Y8))) => 31.82/4.63 (Y5 @ 31.82/4.63 Y6 @ Y8)))))))))))))) => 31.82/4.63 (Y5 @ 31.82/4.63 Y3 @ Y4)))))))) => 31.82/4.63 (( 31.82/4.63 (!!) @ ( 31.82/4.63 ^[Y5 : 31.82/4.63 a > a > $o]: 31.82/4.63 (( 31.82/4.63 (( 31.82/4.63 (( 31.82/4.63 (!!) @ ( 31.82/4.63 ^[Y6 : a]: 31.82/4.63 (( 31.82/4.63 (!!) @ ( 32.02/4.63 ^[Y7 : a]: 32.02/4.63 (( 32.02/4.63 (( 32.02/4.63 ('#sk1' @ 32.02/4.63 Y6 @ 32.02/4.63 Y7) | 32.02/4.63 (Y0 @ 32.02/4.63 Y6 @ Y7))) => 32.02/4.63 (Y5 @ 32.02/4.63 Y6 @ Y7))))))))) & 32.02/4.63 (( 32.02/4.63 (!!) @ ( 32.02/4.63 ^[Y6 : a]: 32.02/4.63 (( 32.02/4.63 (!!) @ ( 32.02/4.63 ^[Y7 : a]: 32.02/4.63 (( 32.02/4.63 (!!) @ ( 32.02/4.63 ^[Y8 : a]: 32.02/4.63 (( 32.02/4.63 (( 32.02/4.63 (Y5 @ 32.02/4.63 Y6 @ 32.02/4.63 Y7) & 32.02/4.63 (Y5 @ 32.02/4.63 Y7 @ Y8))) => 32.02/4.63 (Y5 @ 32.02/4.63 Y6 @ Y8)))))))))))))) => 32.02/4.63 (Y5 @ 32.02/4.63 Y3 @ Y4)))))))))))))) & 32.02/4.63 (((!!) @ (^[Y3 : a]: 32.02/4.63 (( 32.02/4.63 (!!) @ ( 32.02/4.63 ^[Y4 : a]: 32.02/4.63 (( 32.02/4.63 (!!) @ ( 32.02/4.63 ^[Y5 : a]: 32.02/4.63 (( 32.02/4.63 (( 32.02/4.63 (( 32.02/4.63 (!!) @ ( 32.02/4.63 ^[Y6 : 32.02/4.63 a > a > $o]: 32.02/4.63 (( 32.02/4.63 (( 32.02/4.63 (( 32.02/4.63 (!!) @ ( 32.02/4.63 ^[Y7 : a]: 32.02/4.63 (( 32.02/4.63 (!!) @ ( 32.02/4.63 ^[Y8 : a]: 32.02/4.63 (( 32.02/4.63 (!!) @ ( 32.02/4.63 ^[Y9 : a]: 32.02/4.63 (( 32.02/4.63 (( 32.02/4.63 (Y6 @ 32.02/4.63 Y7 @ 32.02/4.63 Y8) & 32.02/4.63 (Y6 @ 32.02/4.63 Y8 @ Y9))) => 32.02/4.63 (Y6 @ 32.02/4.63 Y7 @ Y9)))))))))))) & 32.02/4.63 (( 32.02/4.63 (!!) @ ( 32.02/4.63 ^[Y7 : a]: 32.02/4.63 (( 32.02/4.63 (!!) @ ( 32.02/4.63 ^[Y8 : a]: 32.02/4.63 (( 32.02/4.63 (( 32.02/4.63 (Y0 @ 32.02/4.63 Y7 @ 32.02/4.63 Y8) | 32.02/4.63 ('#sk1' @ 32.02/4.63 Y7 @ Y8))) => 32.02/4.63 (Y6 @ 32.02/4.63 Y7 @ Y8))))))))))) => 32.02/4.63 (Y6 @ 32.02/4.63 Y3 @ Y4)))))) & 32.02/4.63 (( 32.02/4.63 (!!) @ ( 32.02/4.63 ^[Y6 : 32.02/4.63 a > a > $o]: 32.02/4.63 (( 32.02/4.63 (( 32.02/4.63 (( 32.02/4.63 (!!) @ ( 32.02/4.63 ^[Y7 : a]: 32.02/4.63 (( 32.02/4.63 (!!) @ ( 32.02/4.63 ^[Y8 : a]: 32.02/4.63 (( 32.02/4.63 (( 32.02/4.63 (Y0 @ 32.02/4.63 Y7 @ 32.02/4.63 Y8) | 32.02/4.63 ('#sk1' @ 32.02/4.63 Y7 @ Y8))) => 32.02/4.63 (Y6 @ 32.02/4.63 Y7 @ Y8))))))))) & 32.02/4.63 (( 32.02/4.63 (!!) @ ( 32.02/4.63 ^[Y7 : a]: 32.02/4.63 (( 32.02/4.63 (!!) @ ( 32.02/4.63 ^[Y8 : a]: 32.02/4.63 (( 32.02/4.63 (!!) @ ( 32.02/4.63 ^[Y9 : a]: 32.02/4.63 (( 32.02/4.63 (( 32.02/4.63 (Y6 @ 32.02/4.63 Y7 @ 32.02/4.63 Y8) & 32.02/4.63 (Y6 @ 32.02/4.63 Y8 @ Y9))) => 32.02/4.63 (Y6 @ 32.02/4.63 Y7 @ Y9)))))))))))))) => 32.02/4.63 (Y6 @ 32.02/4.63 Y4 @ Y5)))))))) => 32.02/4.63 (( 32.02/4.63 (!!) @ ( 32.02/4.63 ^[Y6 : 32.02/4.63 a > a > $o]: 32.02/4.63 (( 32.02/4.63 (( 32.02/4.63 (( 32.02/4.63 (!!) @ ( 32.02/4.63 ^[Y7 : a]: 32.02/4.63 (( 32.02/4.63 (!!) @ ( 32.02/4.63 ^[Y8 : a]: 32.02/4.63 (( 32.02/4.63 (( 32.02/4.63 (Y0 @ 32.02/4.63 Y7 @ 32.02/4.63 Y8) | 32.02/4.63 ('#sk1' @ 32.02/4.63 Y7 @ Y8))) => 32.02/4.63 (Y6 @ 32.02/4.63 Y7 @ Y8))))))))) & 32.02/4.63 (( 32.02/4.63 (!!) @ ( 32.02/4.63 ^[Y7 : a]: 32.02/4.63 (( 32.02/4.63 (!!) @ ( 32.02/4.63 ^[Y8 : a]: 32.02/4.63 (( 32.02/4.63 (!!) @ ( 32.02/4.63 ^[Y9 : a]: 32.02/4.63 (( 32.02/4.63 (( 32.02/4.63 (Y6 @ 32.02/4.63 Y7 @ 32.02/4.63 Y8) & 32.02/4.63 (Y6 @ 32.02/4.63 Y8 @ Y9))) => 32.02/4.63 (Y6 @ 32.02/4.63 Y7 @ Y9)))))))))))))) => 32.02/4.63 (Y6 @ 32.02/4.63 Y3 @ Y5))))))))))))))))))) => 32.02/4.63 (((!!) @ (^[Y3 : 32.02/4.63 a > a > $o]: 32.02/4.63 (( 32.02/4.63 (( 32.02/4.63 (( 32.02/4.63 (!!) @ ( 32.02/4.63 ^[Y4 : a]: 32.02/4.63 (( 32.02/4.63 (!!) @ ( 32.02/4.63 ^[Y5 : a]: 32.02/4.63 (( 32.02/4.63 (( 32.02/4.63 (Y0 @ 32.02/4.63 Y4 @ 32.02/4.63 Y5) | 32.02/4.63 ('#sk1' @ 32.02/4.63 Y4 @ Y5))) => 32.02/4.63 (Y3 @ 32.02/4.63 Y4 @ Y5))))))))) & 32.02/4.63 (( 32.02/4.63 (!!) @ ( 32.02/4.63 ^[Y4 : a]: 32.02/4.63 (( 32.02/4.63 (!!) @ ( 32.02/4.63 ^[Y5 : a]: 32.02/4.63 (( 32.02/4.63 (!!) @ ( 32.02/4.63 ^[Y6 : a]: 32.02/4.63 (( 32.02/4.63 (( 32.02/4.63 (Y3 @ 32.02/4.63 Y4 @ 32.02/4.63 Y5) & 32.02/4.63 (Y3 @ 32.02/4.63 Y5 @ Y6))) => 32.02/4.63 (Y3 @ 32.02/4.63 Y4 @ Y6)))))))))))))) => 32.02/4.63 (Y3 @ 32.02/4.63 Y1 @ Y2)))))))))) | 32.02/4.63 (((!!) @ (^[Y3 : a > a > $o]: 32.02/4.63 (((((((!!) @ ( 32.02/4.63 ^[Y4 : a]: 32.02/4.63 (((!!) @ ( 32.02/4.63 ^[Y5 : a]: 32.02/4.63 (( 32.02/4.63 (( 32.02/4.63 (Y0 @ 32.02/4.63 Y4 @ 32.02/4.63 Y5) | 32.02/4.63 ('#sk1' @ 32.02/4.63 Y4 @ Y5))) => 32.02/4.63 (Y3 @ 32.02/4.63 Y4 @ Y5))))))))) & 32.02/4.63 (((!!) @ ( 32.02/4.63 ^[Y4 : a]: 32.02/4.63 (((!!) @ ( 32.02/4.63 ^[Y5 : a]: 32.02/4.63 (( 32.02/4.63 (!!) @ ( 32.02/4.63 ^[Y6 : a]: 32.02/4.63 (( 32.02/4.63 (( 32.02/4.63 (Y3 @ 32.02/4.63 Y4 @ 32.02/4.63 Y5) & 32.02/4.63 (Y3 @ 32.02/4.63 Y5 @ Y6))) => 32.02/4.63 (Y3 @ 32.02/4.63 Y4 @ Y6)))))))))))))) => 32.02/4.63 (Y3 @ Y1 @ Y2)))))))))))))))))), 32.02/4.63 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl0])). 32.02/4.63 thf(zip_derived_cl2, plain, 32.02/4.63 (~ (((!!) @ (^[Y0 : a]: 32.02/4.63 (((!!) @ (^[Y1 : a]: 32.02/4.63 (((((~) @ (((((((!!) @ (^[Y2 : a]: 32.02/4.63 (((!!) @ (^[Y3 : a]: 32.02/4.63 (( 32.02/4.63 (( 32.02/4.63 (( 32.02/4.63 (!!) @ ( 32.02/4.63 ^[Y4 : 32.02/4.63 a > a > $o]: 32.02/4.63 (( 32.02/4.63 (( 32.02/4.63 (( 32.02/4.63 (!!) @ ( 32.02/4.63 ^[Y5 : a]: 32.02/4.63 (( 32.02/4.63 (!!) @ ( 32.02/4.63 ^[Y6 : a]: 32.02/4.63 (( 32.02/4.63 (!!) @ ( 32.02/4.63 ^[Y7 : a]: 32.02/4.63 (( 32.02/4.63 (( 32.02/4.63 (Y4 @ 32.02/4.63 Y5 @ 32.02/4.63 Y6) & 32.02/4.63 (Y4 @ 32.02/4.63 Y6 @ Y7))) => 32.02/4.63 (Y4 @ 32.02/4.63 Y5 @ Y7)))))))))))) & 32.02/4.63 (( 32.02/4.63 (!!) @ ( 32.02/4.63 ^[Y5 : a]: 32.02/4.63 (( 32.02/4.63 (!!) @ ( 32.02/4.63 ^[Y6 : a]: 32.02/4.63 (( 32.02/4.63 ('#sk2' @ 32.02/4.63 Y5 @ 32.02/4.63 Y6) => 32.02/4.63 (Y4 @ 32.02/4.63 Y5 @ Y6))))))))))) => 32.02/4.63 (Y4 @ 32.02/4.63 Y2 @ Y3)))))) | 32.02/4.63 (( 32.02/4.63 (!!) @ ( 32.02/4.63 ^[Y4 : 32.02/4.63 a > a > $o]: 32.02/4.63 (( 32.02/4.63 (( 32.02/4.63 (( 32.02/4.63 (!!) @ ( 32.02/4.63 ^[Y5 : a]: 32.02/4.63 (( 32.02/4.63 (!!) @ ( 32.02/4.63 ^[Y6 : a]: 32.02/4.63 (( 32.02/4.63 ('#sk1' @ 32.02/4.63 Y5 @ 32.02/4.63 Y6) => 32.02/4.63 (Y4 @ 32.02/4.63 Y5 @ Y6))))))))) & 32.02/4.63 (( 32.02/4.63 (!!) @ ( 32.02/4.63 ^[Y5 : a]: 32.02/4.63 (( 32.02/4.63 (!!) @ ( 32.02/4.63 ^[Y6 : a]: 32.02/4.63 (( 32.02/4.63 (!!) @ ( 32.02/4.63 ^[Y7 : a]: 32.02/4.63 (( 32.02/4.63 (( 32.02/4.63 (Y4 @ 32.02/4.63 Y5 @ 32.02/4.63 Y6) & 32.02/4.63 (Y4 @ 32.02/4.63 Y6 @ Y7))) => 32.02/4.63 (Y4 @ 32.02/4.63 Y5 @ Y7)))))))))))))) => 32.02/4.63 (Y4 @ 32.02/4.63 Y2 @ Y3)))))))) => 32.02/4.63 (( 32.02/4.63 (!!) @ ( 32.02/4.63 ^[Y4 : 32.02/4.63 a > a > $o]: 32.02/4.63 (( 32.02/4.63 (( 32.02/4.63 (( 32.02/4.63 (!!) @ ( 32.02/4.63 ^[Y5 : a]: 32.02/4.63 (( 32.02/4.63 (!!) @ ( 32.02/4.63 ^[Y6 : a]: 32.02/4.63 (( 32.02/4.63 (( 32.02/4.63 ('#sk1' @ 32.02/4.63 Y5 @ 32.02/4.63 Y6) | 32.02/4.63 ('#sk2' @ 32.02/4.63 Y5 @ Y6))) => 32.02/4.63 (Y4 @ 32.02/4.63 Y5 @ Y6))))))))) & 32.02/4.63 (( 32.02/4.63 (!!) @ ( 32.02/4.63 ^[Y5 : a]: 32.02/4.63 (( 32.02/4.63 (!!) @ ( 32.02/4.63 ^[Y6 : a]: 32.02/4.63 (( 32.02/4.63 (!!) @ ( 32.02/4.63 ^[Y7 : a]: 32.02/4.63 (( 32.02/4.63 (( 32.02/4.63 (Y4 @ 32.02/4.63 Y5 @ 32.02/4.63 Y6) & 32.02/4.63 (Y4 @ 32.02/4.63 Y6 @ Y7))) => 32.02/4.63 (Y4 @ 32.02/4.63 Y5 @ Y7)))))))))))))) => 32.02/4.63 (Y4 @ 32.02/4.63 Y2 @ Y3)))))))))))))) & 32.02/4.63 (((!!) @ (^[Y2 : a]: 32.02/4.63 (((!!) @ (^[Y3 : a]: 32.02/4.63 (( 32.02/4.63 (!!) @ ( 32.02/4.63 ^[Y4 : a]: 32.02/4.63 (( 32.02/4.63 (( 32.02/4.63 (( 32.02/4.63 (!!) @ ( 32.02/4.63 ^[Y5 : 32.02/4.63 a > a > $o]: 32.02/4.63 (( 32.02/4.63 (( 32.02/4.63 (( 32.02/4.63 (!!) @ ( 32.02/4.63 ^[Y6 : a]: 32.02/4.63 (( 32.02/4.63 (!!) @ ( 32.02/4.63 ^[Y7 : a]: 32.02/4.63 (( 32.02/4.63 (!!) @ ( 32.02/4.63 ^[Y8 : a]: 32.02/4.63 (( 32.02/4.63 (( 32.02/4.63 (Y5 @ 32.02/4.63 Y6 @ 32.02/4.63 Y7) & 32.02/4.63 (Y5 @ 32.02/4.63 Y7 @ Y8))) => 32.02/4.63 (Y5 @ 32.02/4.63 Y6 @ Y8)))))))))))) & 32.02/4.63 (( 32.02/4.63 (!!) @ ( 32.02/4.63 ^[Y6 : a]: 32.02/4.63 (( 32.02/4.63 (!!) @ ( 32.02/4.63 ^[Y7 : a]: 32.02/4.63 (( 32.02/4.63 (( 32.02/4.63 ('#sk2' @ 32.02/4.63 Y6 @ 32.02/4.63 Y7) | 32.02/4.63 ('#sk1' @ 32.02/4.63 Y6 @ Y7))) => 32.02/4.63 (Y5 @ 32.02/4.63 Y6 @ Y7))))))))))) => 32.02/4.63 (Y5 @ 32.02/4.63 Y2 @ Y3)))))) & 32.02/4.63 (( 32.02/4.63 (!!) @ ( 32.02/4.63 ^[Y5 : 32.02/4.63 a > a > $o]: 32.02/4.63 (( 32.02/4.63 (( 32.02/4.63 (( 32.02/4.63 (!!) @ ( 32.02/4.63 ^[Y6 : a]: 32.02/4.63 (( 32.02/4.63 (!!) @ ( 32.02/4.63 ^[Y7 : a]: 32.02/4.63 (( 32.02/4.63 (( 32.02/4.63 ('#sk2' @ 32.02/4.63 Y6 @ 32.02/4.63 Y7) | 32.02/4.63 ('#sk1' @ 32.02/4.63 Y6 @ Y7))) => 32.02/4.63 (Y5 @ 32.02/4.63 Y6 @ Y7))))))))) & 32.02/4.63 (( 32.02/4.63 (!!) @ ( 32.02/4.63 ^[Y6 : a]: 32.02/4.63 (( 32.02/4.63 (!!) @ ( 32.02/4.63 ^[Y7 : a]: 32.02/4.63 (( 32.02/4.63 (!!) @ ( 32.02/4.63 ^[Y8 : a]: 32.02/4.63 (( 32.02/4.63 (( 32.02/4.63 (Y5 @ 32.02/4.63 Y6 @ 32.02/4.63 Y7) & 32.02/4.63 (Y5 @ 32.02/4.63 Y7 @ Y8))) => 32.02/4.63 (Y5 @ 32.02/4.63 Y6 @ Y8)))))))))))))) => 32.02/4.63 (Y5 @ 32.02/4.63 Y3 @ Y4)))))))) => 32.02/4.63 (( 32.02/4.63 (!!) @ ( 32.02/4.63 ^[Y5 : 32.02/4.63 a > a > $o]: 32.02/4.63 (( 32.02/4.63 (( 32.02/4.63 (( 32.02/4.63 (!!) @ ( 32.02/4.63 ^[Y6 : a]: 32.02/4.63 (( 32.02/4.63 (!!) @ ( 32.02/4.63 ^[Y7 : a]: 32.02/4.63 (( 32.02/4.63 (( 32.02/4.63 ('#sk2' @ 32.02/4.63 Y6 @ 32.02/4.63 Y7) | 32.02/4.63 ('#sk1' @ 32.02/4.63 Y6 @ Y7))) => 32.02/4.63 (Y5 @ 32.02/4.63 Y6 @ Y7))))))))) & 32.02/4.63 (( 32.02/4.63 (!!) @ ( 32.02/4.63 ^[Y6 : a]: 32.02/4.63 (( 32.02/4.63 (!!) @ ( 32.02/4.63 ^[Y7 : a]: 32.02/4.63 (( 32.02/4.63 (!!) @ ( 32.02/4.63 ^[Y8 : a]: 32.02/4.63 (( 32.02/4.63 (( 32.02/4.63 (Y5 @ 32.02/4.63 Y6 @ 32.02/4.63 Y7) & 32.02/4.63 (Y5 @ 32.02/4.63 Y7 @ Y8))) => 32.02/4.63 (Y5 @ 32.02/4.63 Y6 @ Y8)))))))))))))) => 32.02/4.63 (Y5 @ 32.02/4.63 Y2 @ Y4))))))))))))))))))) => 32.02/4.63 (((!!) @ (^[Y2 : a > a > $o]: 32.02/4.63 (((((((!!) @ ( 32.02/4.63 ^[Y3 : a]: 32.02/4.63 (((!!) @ ( 32.02/4.63 ^[Y4 : a]: 32.02/4.63 (( 32.02/4.63 (( 32.02/4.63 ('#sk2' @ 32.02/4.63 Y3 @ 32.02/4.63 Y4) | 32.02/4.63 ('#sk1' @ 32.02/4.63 Y3 @ Y4))) => 32.02/4.63 (Y2 @ 32.02/4.63 Y3 @ Y4))))))))) & 32.02/4.63 (((!!) @ ( 32.02/4.63 ^[Y3 : a]: 32.02/4.63 (((!!) @ ( 32.02/4.63 ^[Y4 : a]: 32.02/4.63 (( 32.02/4.63 (!!) @ ( 32.02/4.63 ^[Y5 : a]: 32.02/4.63 (( 32.02/4.63 (( 32.02/4.63 (Y2 @ 32.02/4.63 Y3 @ 32.02/4.63 Y4) & 32.02/4.63 (Y2 @ 32.02/4.63 Y4 @ Y5))) => 32.02/4.63 (Y2 @ 32.02/4.63 Y3 @ Y5)))))))))))))) => 32.02/4.63 (Y2 @ Y0 @ Y1)))))))))) | 32.02/4.63 (((!!) @ (^[Y2 : a > a > $o]: 32.02/4.63 (((((((!!) @ (^[Y3 : a]: 32.02/4.63 (((!!) @ ( 32.02/4.63 ^[Y4 : a]: 32.02/4.63 (((( 32.02/4.63 ('#sk2' @ 32.02/4.63 Y3 @ Y4) | 32.02/4.63 ('#sk1' @ 32.02/4.63 Y3 @ Y4))) => 32.02/4.63 (Y2 @ 32.02/4.63 Y3 @ Y4))))))))) & 32.02/4.63 (((!!) @ (^[Y3 : a]: 32.02/4.63 (((!!) @ ( 32.02/4.63 ^[Y4 : a]: 32.02/4.63 (((!!) @ ( 32.02/4.63 ^[Y5 : a]: 32.02/4.63 (( 32.02/4.63 (( 32.02/4.63 (Y2 @ 32.02/4.63 Y3 @ 32.02/4.63 Y4) & 32.02/4.63 (Y2 @ 32.02/4.63 Y4 @ Y5))) => 32.02/4.63 (Y2 @ 32.02/4.63 Y3 @ Y5)))))))))))))) => 32.02/4.63 (Y2 @ Y0 @ Y1))))))))))))))), 32.02/4.63 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl1])). 32.02/4.63 thf(zip_derived_cl3, plain, 32.02/4.63 (~ (((!!) @ (^[Y0 : a]: 32.02/4.63 (((((~) @ (((((((!!) @ (^[Y1 : a]: 32.02/4.63 (((!!) @ (^[Y2 : a]: 32.02/4.63 (((((((!!) @ ( 32.02/4.63 ^[Y3 : 32.02/4.63 a > a > $o]: 32.02/4.63 (((( 32.02/4.63 (( 32.02/4.63 (!!) @ ( 32.02/4.64 ^[Y4 : a]: 32.02/4.64 (( 32.02/4.64 (!!) @ ( 32.02/4.64 ^[Y5 : a]: 32.02/4.64 (( 32.02/4.64 (!!) @ ( 32.02/4.64 ^[Y6 : a]: 32.02/4.64 (( 32.02/4.64 (( 32.02/4.64 (Y3 @ 32.02/4.64 Y4 @ 32.02/4.64 Y5) & 32.02/4.64 (Y3 @ 32.02/4.64 Y5 @ Y6))) => 32.02/4.64 (Y3 @ 32.02/4.64 Y4 @ Y6)))))))))))) & 32.02/4.64 (( 32.02/4.64 (!!) @ ( 32.02/4.64 ^[Y4 : a]: 32.02/4.64 (( 32.02/4.64 (!!) @ ( 32.02/4.64 ^[Y5 : a]: 32.02/4.64 (( 32.02/4.64 ('#sk2' @ 32.02/4.64 Y4 @ 32.02/4.64 Y5) => 32.02/4.64 (Y3 @ 32.02/4.64 Y4 @ Y5))))))))))) => 32.02/4.64 (Y3 @ 32.02/4.64 Y1 @ Y2)))))) | 32.02/4.64 (((!!) @ ( 32.02/4.64 ^[Y3 : 32.02/4.64 a > a > $o]: 32.02/4.64 (((( 32.02/4.64 (( 32.02/4.64 (!!) @ ( 32.02/4.64 ^[Y4 : a]: 32.02/4.64 (( 32.02/4.64 (!!) @ ( 32.02/4.64 ^[Y5 : a]: 32.02/4.64 (( 32.02/4.64 ('#sk1' @ 32.02/4.64 Y4 @ 32.02/4.64 Y5) => 32.02/4.64 (Y3 @ 32.02/4.64 Y4 @ Y5))))))))) & 32.02/4.64 (( 32.02/4.64 (!!) @ ( 32.02/4.64 ^[Y4 : a]: 32.02/4.64 (( 32.02/4.64 (!!) @ ( 32.02/4.64 ^[Y5 : a]: 32.02/4.64 (( 32.02/4.64 (!!) @ ( 32.02/4.64 ^[Y6 : a]: 32.02/4.64 (( 32.02/4.64 (( 32.02/4.64 (Y3 @ 32.02/4.64 Y4 @ 32.02/4.64 Y5) & 32.02/4.64 (Y3 @ 32.02/4.64 Y5 @ Y6))) => 32.02/4.64 (Y3 @ 32.02/4.64 Y4 @ Y6)))))))))))))) => 32.02/4.64 (Y3 @ 32.02/4.64 Y1 @ Y2)))))))) => 32.02/4.64 (((!!) @ ( 32.02/4.64 ^[Y3 : a > a > $o]: 32.02/4.64 (((((( 32.02/4.64 (!!) @ ( 32.02/4.64 ^[Y4 : a]: 32.02/4.64 (( 32.02/4.64 (!!) @ ( 32.02/4.64 ^[Y5 : a]: 32.02/4.64 (( 32.02/4.64 (( 32.02/4.64 ('#sk1' @ 32.02/4.64 Y4 @ 32.02/4.64 Y5) | 32.02/4.64 ('#sk2' @ 32.02/4.64 Y4 @ Y5))) => 32.02/4.64 (Y3 @ 32.02/4.64 Y4 @ Y5))))))))) & 32.02/4.64 (( 32.02/4.64 (!!) @ ( 32.02/4.64 ^[Y4 : a]: 32.02/4.64 (( 32.02/4.64 (!!) @ ( 32.02/4.64 ^[Y5 : a]: 32.02/4.64 (( 32.02/4.64 (!!) @ ( 32.02/4.64 ^[Y6 : a]: 32.02/4.64 (( 32.02/4.64 (( 32.02/4.64 (Y3 @ 32.02/4.64 Y4 @ 32.02/4.64 Y5) & 32.02/4.64 (Y3 @ 32.02/4.64 Y5 @ Y6))) => 32.02/4.64 (Y3 @ 32.02/4.64 Y4 @ Y6)))))))))))))) => 32.02/4.64 (Y3 @ Y1 @ 32.02/4.64 Y2)))))))))))))) & 32.02/4.64 (((!!) @ (^[Y1 : a]: 32.02/4.64 (((!!) @ (^[Y2 : a]: 32.02/4.64 (((!!) @ (^[Y3 : a]: 32.02/4.64 (( 32.02/4.64 (( 32.02/4.64 (( 32.02/4.64 (!!) @ ( 32.02/4.64 ^[Y4 : 32.02/4.64 a > a > $o]: 32.02/4.64 (( 32.02/4.64 (( 32.02/4.64 (( 32.02/4.64 (!!) @ ( 32.02/4.64 ^[Y5 : a]: 32.02/4.64 (( 32.02/4.64 (!!) @ ( 32.02/4.64 ^[Y6 : a]: 32.02/4.64 (( 32.02/4.64 (!!) @ ( 32.02/4.64 ^[Y7 : a]: 32.02/4.64 (( 32.02/4.64 (( 32.02/4.64 (Y4 @ 32.02/4.64 Y5 @ 32.02/4.64 Y6) & 32.02/4.64 (Y4 @ 32.02/4.64 Y6 @ Y7))) => 32.02/4.64 (Y4 @ 32.02/4.64 Y5 @ Y7)))))))))))) & 32.02/4.64 (( 32.02/4.64 (!!) @ ( 32.02/4.64 ^[Y5 : a]: 32.02/4.64 (( 32.02/4.64 (!!) @ ( 32.02/4.64 ^[Y6 : a]: 32.02/4.64 (( 32.02/4.64 (( 32.02/4.64 ('#sk2' @ 32.02/4.64 Y5 @ 32.02/4.64 Y6) | 32.02/4.64 ('#sk1' @ 32.02/4.64 Y5 @ Y6))) => 32.02/4.64 (Y4 @ 32.02/4.64 Y5 @ Y6))))))))))) => 32.02/4.64 (Y4 @ 32.02/4.64 Y1 @ Y2)))))) & 32.02/4.64 (( 32.02/4.64 (!!) @ ( 32.02/4.64 ^[Y4 : 32.02/4.64 a > a > $o]: 32.02/4.64 (( 32.02/4.64 (( 32.02/4.64 (( 32.02/4.64 (!!) @ ( 32.02/4.64 ^[Y5 : a]: 32.02/4.64 (( 32.02/4.64 (!!) @ ( 32.02/4.64 ^[Y6 : a]: 32.02/4.64 (( 32.02/4.64 (( 32.02/4.64 ('#sk2' @ 32.02/4.64 Y5 @ 32.02/4.64 Y6) | 32.02/4.64 ('#sk1' @ 32.02/4.64 Y5 @ Y6))) => 32.02/4.64 (Y4 @ 32.02/4.64 Y5 @ Y6))))))))) & 32.02/4.64 (( 32.02/4.64 (!!) @ ( 32.02/4.64 ^[Y5 : a]: 32.02/4.64 (( 32.02/4.64 (!!) @ ( 32.02/4.64 ^[Y6 : a]: 32.02/4.64 (( 32.02/4.64 (!!) @ ( 32.02/4.64 ^[Y7 : a]: 32.02/4.64 (( 32.02/4.64 (( 32.02/4.64 (Y4 @ 32.02/4.64 Y5 @ 32.02/4.64 Y6) & 32.02/4.64 (Y4 @ 32.02/4.64 Y6 @ Y7))) => 32.02/4.64 (Y4 @ 32.02/4.64 Y5 @ Y7)))))))))))))) => 32.02/4.64 (Y4 @ 32.02/4.64 Y2 @ Y3)))))))) => 32.02/4.64 (( 32.02/4.64 (!!) @ ( 32.02/4.64 ^[Y4 : 32.02/4.64 a > a > $o]: 32.02/4.64 (( 32.02/4.64 (( 32.02/4.64 (( 32.02/4.64 (!!) @ ( 32.02/4.64 ^[Y5 : a]: 32.02/4.64 (( 32.02/4.64 (!!) @ ( 32.02/4.64 ^[Y6 : a]: 32.02/4.64 (( 32.02/4.64 (( 32.02/4.64 ('#sk2' @ 32.02/4.64 Y5 @ 32.02/4.64 Y6) | 32.02/4.64 ('#sk1' @ 32.02/4.64 Y5 @ Y6))) => 32.02/4.64 (Y4 @ 32.02/4.64 Y5 @ Y6))))))))) & 32.02/4.64 (( 32.02/4.64 (!!) @ ( 32.02/4.64 ^[Y5 : a]: 32.02/4.64 (( 32.02/4.64 (!!) @ ( 32.02/4.64 ^[Y6 : a]: 32.02/4.64 (( 32.02/4.64 (!!) @ ( 32.02/4.64 ^[Y7 : a]: 32.02/4.64 (( 32.02/4.64 (( 32.02/4.64 (Y4 @ 32.02/4.64 Y5 @ 32.02/4.64 Y6) & 32.02/4.64 (Y4 @ 32.02/4.64 Y6 @ Y7))) => 32.02/4.64 (Y4 @ 32.02/4.64 Y5 @ Y7)))))))))))))) => 32.02/4.64 (Y4 @ 32.02/4.64 Y1 @ Y3))))))))))))))))))) => 32.02/4.64 (((!!) @ (^[Y1 : a > a > $o]: 32.02/4.64 (((((((!!) @ (^[Y2 : a]: 32.02/4.64 (((!!) @ ( 32.02/4.64 ^[Y3 : a]: 32.02/4.64 ((((('#sk2' @ 32.02/4.64 Y2 @ Y3) | 32.02/4.64 ('#sk1' @ 32.02/4.64 Y2 @ Y3))) => 32.02/4.64 (Y1 @ Y2 @ 32.02/4.64 Y3))))))))) & 32.02/4.64 (((!!) @ (^[Y2 : a]: 32.02/4.64 (((!!) @ ( 32.02/4.64 ^[Y3 : a]: 32.02/4.64 (((!!) @ ( 32.02/4.64 ^[Y4 : a]: 32.02/4.64 (( 32.02/4.64 (( 32.02/4.64 (Y1 @ 32.02/4.64 Y2 @ 32.02/4.64 Y3) & 32.02/4.64 (Y1 @ 32.02/4.64 Y3 @ Y4))) => 32.02/4.64 (Y1 @ 32.02/4.64 Y2 @ Y4)))))))))))))) => 32.02/4.64 (Y1 @ '#sk3' @ Y0)))))))))) | 32.02/4.64 (((!!) @ (^[Y1 : a > a > $o]: 32.02/4.64 (((((((!!) @ (^[Y2 : a]: 32.02/4.64 (((!!) @ (^[Y3 : a]: 32.02/4.64 ((((('#sk2' @ 32.02/4.64 Y2 @ Y3) | 32.02/4.64 ('#sk1' @ 32.02/4.64 Y2 @ Y3))) => 32.02/4.64 (Y1 @ Y2 @ Y3))))))))) & 32.02/4.64 (((!!) @ (^[Y2 : a]: 32.02/4.64 (((!!) @ (^[Y3 : a]: 32.02/4.64 (((!!) @ ( 32.02/4.64 ^[Y4 : a]: 32.02/4.64 (((( 32.02/4.64 (Y1 @ 32.02/4.64 Y2 @ Y3) & 32.02/4.64 (Y1 @ 32.02/4.64 Y3 @ Y4))) => 32.02/4.64 (Y1 @ 32.02/4.64 Y2 @ Y4)))))))))))))) => 32.02/4.64 (Y1 @ '#sk3' @ Y0)))))))))))), 32.02/4.64 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl2])). 32.02/4.64 thf(zip_derived_cl4, plain, 32.02/4.64 (~ (((((~) @ (((((((!!) @ (^[Y0 : a]: 32.02/4.64 (((!!) @ (^[Y1 : a]: 32.02/4.64 (((((((!!) @ (^[Y2 : a > a > $o]: 32.02/4.64 (((((((!!) @ ( 32.02/4.64 ^[Y3 : a]: 32.02/4.64 (( 32.02/4.64 (!!) @ ( 32.02/4.64 ^[Y4 : a]: 32.02/4.64 (( 32.02/4.64 (!!) @ ( 32.02/4.64 ^[Y5 : a]: 32.02/4.64 (( 32.02/4.64 (( 32.02/4.64 (Y2 @ 32.02/4.64 Y3 @ 32.02/4.64 Y4) & 32.02/4.64 (Y2 @ 32.02/4.64 Y4 @ Y5))) => 32.02/4.64 (Y2 @ 32.02/4.64 Y3 @ Y5)))))))))))) & 32.02/4.64 (((!!) @ ( 32.02/4.64 ^[Y3 : a]: 32.02/4.64 (( 32.02/4.64 (!!) @ ( 32.02/4.64 ^[Y4 : a]: 32.02/4.64 (( 32.02/4.64 ('#sk2' @ 32.02/4.64 Y3 @ 32.02/4.64 Y4) => 32.02/4.64 (Y2 @ 32.02/4.64 Y3 @ Y4))))))))))) => 32.02/4.64 (Y2 @ Y0 @ Y1)))))) | 32.02/4.64 (((!!) @ (^[Y2 : a > a > $o]: 32.02/4.64 (((((((!!) @ ( 32.02/4.64 ^[Y3 : a]: 32.02/4.64 (( 32.02/4.64 (!!) @ ( 32.02/4.64 ^[Y4 : a]: 32.02/4.64 (( 32.02/4.64 ('#sk1' @ 32.02/4.64 Y3 @ 32.02/4.64 Y4) => 32.02/4.64 (Y2 @ 32.02/4.64 Y3 @ Y4))))))))) & 32.02/4.64 (((!!) @ ( 32.02/4.64 ^[Y3 : a]: 32.02/4.64 (( 32.02/4.64 (!!) @ ( 32.02/4.64 ^[Y4 : a]: 32.02/4.64 (( 32.02/4.64 (!!) @ ( 32.02/4.64 ^[Y5 : a]: 32.02/4.64 (( 32.02/4.64 (( 32.02/4.64 (Y2 @ 32.02/4.64 Y3 @ 32.02/4.64 Y4) & 32.02/4.64 (Y2 @ 32.02/4.64 Y4 @ Y5))) => 32.02/4.64 (Y2 @ 32.02/4.64 Y3 @ Y5)))))))))))))) => 32.02/4.64 (Y2 @ Y0 @ Y1)))))))) => 32.02/4.64 (((!!) @ (^[Y2 : a > a > $o]: 32.02/4.64 (((((((!!) @ ( 32.02/4.64 ^[Y3 : a]: 32.02/4.64 (( 32.02/4.64 (!!) @ ( 32.02/4.64 ^[Y4 : a]: 32.02/4.64 (( 32.02/4.64 (( 32.02/4.64 ('#sk1' @ 32.02/4.64 Y3 @ 32.02/4.64 Y4) | 32.02/4.64 ('#sk2' @ 32.02/4.64 Y3 @ Y4))) => 32.02/4.64 (Y2 @ 32.02/4.64 Y3 @ Y4))))))))) & 32.02/4.64 (((!!) @ ( 32.02/4.64 ^[Y3 : a]: 32.02/4.64 (( 32.02/4.64 (!!) @ ( 32.02/4.64 ^[Y4 : a]: 32.02/4.64 (( 32.02/4.64 (!!) @ ( 32.02/4.64 ^[Y5 : a]: 32.02/4.64 (( 32.02/4.64 (( 32.02/4.64 (Y2 @ 32.02/4.64 Y3 @ 32.02/4.64 Y4) & 32.02/4.64 (Y2 @ 32.02/4.64 Y4 @ Y5))) => 32.02/4.64 (Y2 @ 32.02/4.64 Y3 @ Y5)))))))))))))) => 32.02/4.64 (Y2 @ Y0 @ Y1)))))))))))))) & 32.02/4.64 (((!!) @ (^[Y0 : a]: 32.02/4.64 (((!!) @ (^[Y1 : a]: 32.02/4.64 (((!!) @ (^[Y2 : a]: 32.02/4.64 (((((((!!) @ ( 32.02/4.64 ^[Y3 : 32.02/4.64 a > a > $o]: 32.02/4.64 (((( 32.02/4.64 (( 32.02/4.64 (!!) @ ( 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Y5))))))))) & 32.02/4.64 (( 32.02/4.64 (!!) @ ( 32.02/4.64 ^[Y4 : a]: 32.02/4.64 (( 32.02/4.64 (!!) @ ( 32.02/4.64 ^[Y5 : a]: 32.02/4.64 (( 32.02/4.64 (!!) @ ( 32.02/4.64 ^[Y6 : a]: 32.02/4.64 (( 32.02/4.64 (( 32.02/4.64 (Y3 @ 32.02/4.64 Y4 @ 32.02/4.64 Y5) & 32.02/4.64 (Y3 @ 32.02/4.64 Y5 @ Y6))) => 32.02/4.64 (Y3 @ 32.02/4.64 Y4 @ Y6)))))))))))))) => 32.02/4.64 (Y3 @ 32.02/4.64 Y1 @ Y2)))))))) => 32.02/4.64 (((!!) @ ( 32.02/4.64 ^[Y3 : a > a > $o]: 32.02/4.64 (((((( 32.02/4.64 (!!) @ ( 32.02/4.64 ^[Y4 : a]: 32.02/4.64 (( 32.02/4.64 (!!) @ ( 32.02/4.64 ^[Y5 : a]: 32.02/4.64 (( 32.02/4.64 (( 32.02/4.64 ('#sk2' @ 32.02/4.64 Y4 @ 32.02/4.64 Y5) | 32.02/4.64 ('#sk1' @ 32.02/4.64 Y4 @ Y5))) => 32.02/4.64 (Y3 @ 32.02/4.64 Y4 @ Y5))))))))) & 32.02/4.64 (( 32.02/4.64 (!!) @ ( 32.02/4.64 ^[Y4 : a]: 32.02/4.64 (( 32.02/4.64 (!!) @ ( 32.02/4.64 ^[Y5 : a]: 32.02/4.64 (( 32.02/4.64 (!!) @ ( 32.02/4.64 ^[Y6 : a]: 32.02/4.64 (( 32.02/4.64 (( 32.02/4.64 (Y3 @ 32.02/4.64 Y4 @ 32.02/4.64 Y5) & 32.02/4.64 (Y3 @ 32.02/4.64 Y5 @ Y6))) => 32.02/4.64 (Y3 @ 32.02/4.64 Y4 @ Y6)))))))))))))) => 32.02/4.64 (Y3 @ Y0 @ 32.02/4.64 Y2))))))))))))))))))) => 32.02/4.64 (((!!) @ (^[Y0 : a > a > $o]: 32.02/4.64 (((((((!!) @ (^[Y1 : a]: 32.02/4.64 (((!!) @ (^[Y2 : a]: 32.02/4.64 ((((('#sk2' @ 32.02/4.64 Y1 @ Y2) | 32.02/4.64 ('#sk1' @ 32.02/4.64 Y1 @ Y2))) => 32.02/4.64 (Y0 @ Y1 @ Y2))))))))) & 32.02/4.64 (((!!) @ (^[Y1 : a]: 32.02/4.64 (((!!) @ (^[Y2 : a]: 32.02/4.64 (((!!) @ ( 32.02/4.64 ^[Y3 : a]: 32.02/4.64 (((((Y0 @ 32.02/4.64 Y1 @ Y2) & 32.02/4.64 (Y0 @ 32.02/4.64 Y2 @ Y3))) => 32.02/4.64 (Y0 @ Y1 @ 32.02/4.64 Y3)))))))))))))) => 32.02/4.64 (Y0 @ '#sk3' @ '#sk4')))))))))) | 32.02/4.64 (((!!) @ (^[Y0 : a > a > $o]: 32.02/4.64 (((((((!!) @ (^[Y1 : a]: 32.02/4.64 (((!!) @ (^[Y2 : a]: 32.02/4.64 ((((('#sk2' @ Y1 @ Y2) | 32.02/4.64 ('#sk1' @ Y1 @ Y2))) => 32.02/4.64 (Y0 @ Y1 @ Y2))))))))) & 32.02/4.64 (((!!) @ (^[Y1 : a]: 32.02/4.64 (((!!) @ (^[Y2 : a]: 32.02/4.64 (((!!) @ (^[Y3 : a]: 32.02/4.64 (((((Y0 @ Y1 @ 32.02/4.64 Y2) & (Y0 @ 32.02/4.64 Y2 @ Y3))) => 32.02/4.64 (Y0 @ Y1 @ Y3)))))))))))))) => 32.02/4.64 (Y0 @ '#sk3' @ '#sk4'))))))))), 32.02/4.64 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl3])). 32.02/4.64 thf(zip_derived_cl5, plain, 32.02/4.64 ( (((((((!!) @ (^[Y0 : a]: 32.02/4.64 (((!!) @ (^[Y1 : a]: 32.02/4.64 (((((((!!) @ (^[Y2 : a > a > $o]: 32.02/4.64 (((((((!!) @ (^[Y3 : a]: 32.02/4.64 (((!!) @ ( 32.02/4.64 ^[Y4 : a]: 32.02/4.64 (( 32.02/4.64 (!!) @ ( 32.02/4.64 ^[Y5 : a]: 32.02/4.64 (( 32.02/4.64 (( 32.02/4.64 (Y2 @ 32.02/4.64 Y3 @ 32.02/4.64 Y4) & 32.02/4.64 (Y2 @ 32.02/4.64 Y4 @ Y5))) => 32.02/4.64 (Y2 @ 32.02/4.64 Y3 @ Y5)))))))))))) & 32.02/4.64 (((!!) @ (^[Y3 : a]: 32.02/4.64 (((!!) @ ( 32.02/4.64 ^[Y4 : a]: 32.02/4.64 (( 32.02/4.64 ('#sk2' @ 32.02/4.64 Y3 @ 32.02/4.64 Y4) => 32.02/4.64 (Y2 @ 32.02/4.64 Y3 @ Y4))))))))))) => 32.02/4.64 (Y2 @ Y0 @ Y1)))))) | 32.02/4.64 (((!!) @ (^[Y2 : a > a > $o]: 32.02/4.64 (((((((!!) @ (^[Y3 : a]: 32.02/4.64 (((!!) @ ( 32.02/4.64 ^[Y4 : a]: 32.02/4.64 (( 32.02/4.64 ('#sk1' @ 32.02/4.64 Y3 @ 32.02/4.64 Y4) => 32.02/4.64 (Y2 @ 32.02/4.64 Y3 @ Y4))))))))) & 32.02/4.64 (((!!) @ (^[Y3 : a]: 32.02/4.64 (((!!) @ ( 32.02/4.64 ^[Y4 : a]: 32.02/4.64 (( 32.02/4.64 (!!) @ ( 32.02/4.64 ^[Y5 : a]: 32.02/4.64 (( 32.02/4.64 (( 32.02/4.64 (Y2 @ 32.02/4.64 Y3 @ 32.02/4.64 Y4) & 32.02/4.64 (Y2 @ 32.02/4.64 Y4 @ Y5))) => 32.02/4.64 (Y2 @ 32.02/4.64 Y3 @ Y5)))))))))))))) => 32.02/4.64 (Y2 @ Y0 @ Y1)))))))) => 32.02/4.64 (((!!) @ (^[Y2 : a > a > $o]: 32.02/4.64 (((((((!!) @ (^[Y3 : a]: 32.02/4.64 (((!!) @ ( 32.02/4.64 ^[Y4 : a]: 32.02/4.64 ( 32.02/4.64 ( 32.02/4.64 (( 32.02/4.64 ('#sk1' @ 32.02/4.64 Y3 @ 32.02/4.64 Y4) | 32.02/4.64 ('#sk2' @ 32.02/4.64 Y3 @ Y4))) => 32.02/4.64 (Y2 @ 32.02/4.64 Y3 @ Y4))))))))) & 32.02/4.64 (((!!) @ (^[Y3 : a]: 32.02/4.64 (((!!) @ ( 32.02/4.64 ^[Y4 : a]: 32.02/4.64 ( 32.02/4.64 ( 32.02/4.64 (!!) @ ( 32.02/4.64 ^[Y5 : a]: 32.02/4.64 (( 32.02/4.64 (( 32.02/4.64 (Y2 @ 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32.02/4.64 (( 32.02/4.64 (( 32.02/4.64 (Y2 @ 32.02/4.64 Y3 @ 32.02/4.64 Y4) & 32.02/4.64 (Y2 @ 32.02/4.64 Y4 @ Y5))) => 32.02/4.64 (Y2 @ 32.02/4.64 Y3 @ Y5)))))))))))))) => 32.02/4.64 (Y2 @ Y0 @ Y1)))))))) => 32.02/4.64 (((!!) @ (^[Y2 : a > a > $o]: 32.02/4.64 (((((((!!) @ (^[Y3 : a]: 32.02/4.64 (((!!) @ ( 32.02/4.64 ^[Y4 : a]: 32.02/4.64 ( 32.02/4.64 ( 32.02/4.64 (( 32.02/4.64 ('#sk1' @ 32.02/4.64 Y3 @ 32.02/4.64 Y4) | 32.02/4.64 ('#sk2' @ 32.02/4.64 Y3 @ Y4))) => 32.02/4.64 (Y2 @ 32.02/4.64 Y3 @ Y4))))))))) & 32.02/4.64 (((!!) @ (^[Y3 : a]: 32.02/4.64 (((!!) @ ( 32.02/4.64 ^[Y4 : a]: 32.02/4.64 ( 32.02/4.64 ( 32.02/4.64 (!!) @ ( 32.02/4.64 ^[Y5 : a]: 32.02/4.64 (( 32.02/4.64 (( 32.02/4.64 (Y2 @ 32.02/4.64 Y3 @ 32.02/4.64 Y4) & 32.02/4.64 (Y2 @ 32.02/4.64 Y4 @ Y5))) => 32.02/4.64 (Y2 @ 32.02/4.64 Y3 @ Y5)))))))))))))) => 32.02/4.64 (Y2 @ Y0 @ Y1)))))))))))))) & 32.02/4.64 (((!!) @ (^[Y0 : a]: 32.02/4.64 (((!!) @ (^[Y1 : a]: 32.02/4.64 (((!!) @ (^[Y2 : a]: 32.02/4.64 (((((((!!) @ (^[Y3 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(((!!) @ ( 32.02/4.64 ^[Y4 : a]: 32.02/4.64 (( 32.02/4.64 (!!) @ ( 32.02/4.64 ^[Y5 : a]: 32.02/4.64 (( 32.02/4.64 (!!) @ ( 32.02/4.64 ^[Y6 : a]: 32.02/4.64 (( 32.02/4.64 (( 32.02/4.64 (Y3 @ 32.02/4.64 Y4 @ 32.02/4.64 Y5) & 32.02/4.64 (Y3 @ 32.02/4.64 Y5 @ Y6))) => 32.02/4.64 (Y3 @ 32.02/4.64 Y4 @ Y6)))))))))))))) => 32.02/4.64 (Y3 @ Y1 @ 32.02/4.64 Y2)))))))) => 32.02/4.64 (((!!) @ (^[Y3 : a > a > $o]: 32.02/4.64 (((((((!!) @ ( 32.02/4.64 ^[Y4 : a]: 32.02/4.64 ( 32.02/4.64 ( 32.02/4.64 (!!) @ ( 32.02/4.64 ^[Y5 : a]: 32.02/4.64 (( 32.02/4.64 (( 32.02/4.64 ('#sk2' @ 32.02/4.64 Y4 @ 32.02/4.64 Y5) | 32.02/4.64 ('#sk1' @ 32.02/4.64 Y4 @ Y5))) => 32.02/4.64 (Y3 @ 32.02/4.64 Y4 @ Y5))))))))) & 32.02/4.64 (((!!) @ ( 32.02/4.64 ^[Y4 : a]: 32.02/4.64 ( 32.02/4.64 ( 32.02/4.64 (!!) @ ( 32.02/4.64 ^[Y5 : a]: 32.02/4.64 (( 32.02/4.64 (!!) @ ( 32.02/4.64 ^[Y6 : a]: 32.02/4.64 (( 32.02/4.64 (( 32.02/4.64 (Y3 @ 32.02/4.64 Y4 @ 32.02/4.64 Y5) & 32.02/4.64 (Y3 @ 32.02/4.64 Y5 @ Y6))) => 32.02/4.64 (Y3 @ 32.02/4.64 Y4 @ Y6)))))))))))))) => 32.02/4.64 (Y3 @ Y0 @ Y2))))))))))))))))))) 32.02/4.64 | (((!!) @ (^[Y0 : a > a > $o]: 32.02/4.64 (((((((!!) @ (^[Y1 : a]: 32.02/4.64 (((!!) @ (^[Y2 : a]: 32.02/4.64 ((((('#sk2' @ Y1 @ Y2) | 32.02/4.64 ('#sk1' @ Y1 @ Y2))) => 32.02/4.64 (Y0 @ Y1 @ Y2))))))))) & 32.02/4.64 (((!!) @ (^[Y1 : a]: 32.02/4.64 (((!!) @ (^[Y2 : a]: 32.02/4.64 (((!!) @ (^[Y3 : a]: 32.02/4.64 (((((Y0 @ Y1 @ 32.02/4.64 Y2) & (Y0 @ 32.02/4.64 Y2 @ Y3))) => 32.02/4.64 (Y0 @ Y1 @ Y3)))))))))))))) => 32.02/4.64 (Y0 @ '#sk3' @ '#sk4')))))))), 32.02/4.64 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl5])). 32.02/4.64 thf(zip_derived_cl9, plain, 32.02/4.64 ((~ (((!!) @ (^[Y0 : a]: 32.02/4.64 (((!!) @ (^[Y1 : a]: 32.02/4.64 (((((((!!) @ (^[Y2 : a > a > $o]: 32.02/4.64 (((((((!!) @ (^[Y3 : a]: 32.02/4.64 (((!!) @ ( 32.02/4.64 ^[Y4 : a]: 32.02/4.64 ( 32.02/4.64 ( 32.02/4.64 (!!) @ ( 32.02/4.64 ^[Y5 : a]: 32.02/4.64 (( 32.02/4.64 (( 32.02/4.64 (Y2 @ 32.02/4.64 Y3 @ 32.02/4.64 Y4) & 32.02/4.64 (Y2 @ 32.02/4.64 Y4 @ Y5))) => 32.02/4.64 (Y2 @ 32.02/4.64 Y3 @ Y5)))))))))))) & 32.02/4.64 (((!!) @ (^[Y3 : a]: 32.02/4.64 (((!!) @ ( 32.02/4.64 ^[Y4 : a]: 32.02/4.64 ( 32.02/4.64 ( 32.02/4.64 ('#sk2' @ 32.02/4.64 Y3 @ 32.02/4.64 Y4) => 32.02/4.64 (Y2 @ 32.02/4.64 Y3 @ Y4))))))))))) => 32.02/4.64 (Y2 @ Y0 @ Y1)))))) | 32.02/4.64 (((!!) @ (^[Y2 : a > a > $o]: 32.02/4.64 (((((((!!) @ (^[Y3 : a]: 32.02/4.64 (((!!) @ ( 32.02/4.64 ^[Y4 : a]: 32.02/4.64 ( 32.02/4.64 ( 32.02/4.64 ('#sk1' @ 32.02/4.64 Y3 @ 32.02/4.64 Y4) => 32.02/4.64 (Y2 @ 32.02/4.64 Y3 @ Y4))))))))) & 32.02/4.64 (((!!) @ (^[Y3 : a]: 32.02/4.64 (((!!) @ ( 32.02/4.64 ^[Y4 : a]: 32.02/4.64 ( 32.02/4.64 ( 32.02/4.64 (!!) @ ( 32.02/4.64 ^[Y5 : a]: 32.02/4.64 (( 32.02/4.64 (( 32.02/4.64 (Y2 @ 32.02/4.64 Y3 @ 32.02/4.64 Y4) & 32.02/4.64 (Y2 @ 32.02/4.64 Y4 @ Y5))) => 32.02/4.64 (Y2 @ 32.02/4.64 Y3 @ Y5)))))))))))))) => 32.02/4.64 (Y2 @ Y0 @ Y1)))))))) => 32.02/4.64 (((!!) @ (^[Y2 : a > a > $o]: 32.02/4.64 (((((((!!) @ (^[Y3 : a]: 32.02/4.64 (((!!) @ ( 32.02/4.64 ^[Y4 : a]: 32.02/4.64 (((( 32.02/4.64 ('#sk1' @ 32.02/4.64 Y3 @ 32.02/4.64 Y4) | 32.02/4.64 ('#sk2' @ 32.02/4.64 Y3 @ Y4))) => 32.02/4.64 (Y2 @ 32.02/4.64 Y3 @ Y4))))))))) & 32.02/4.64 (((!!) @ (^[Y3 : a]: 32.02/4.64 (((!!) @ ( 32.02/4.64 ^[Y4 : a]: 32.02/4.64 (((!!) @ ( 32.02/4.64 ^[Y5 : a]: 32.02/4.64 (( 32.02/4.64 (( 32.02/4.64 (Y2 @ 32.02/4.64 Y3 @ 32.02/4.64 Y4) & 32.02/4.64 (Y2 @ 32.02/4.64 Y4 @ Y5))) => 32.02/4.64 (Y2 @ 32.02/4.64 Y3 @ Y5)))))))))))))) => 32.02/4.64 (Y2 @ Y0 @ Y1)))))))))))))) 32.02/4.64 | ~ (((!!) @ (^[Y0 : a]: 32.02/4.64 (((!!) @ (^[Y1 : a]: 32.02/4.64 (((!!) @ (^[Y2 : a]: 32.02/4.64 (((((((!!) @ (^[Y3 : a > a > $o]: 32.02/4.64 (((((((!!) @ ( 32.02/4.64 ^[Y4 : a]: 32.02/4.64 (( 32.02/4.64 (!!) @ ( 32.02/4.64 ^[Y5 : a]: 32.02/4.64 (( 32.02/4.64 (!!) @ ( 32.02/4.64 ^[Y6 : a]: 32.02/4.64 (( 32.02/4.64 (( 32.02/4.64 (Y3 @ 32.02/4.64 Y4 @ 32.02/4.64 Y5) & 32.02/4.64 (Y3 @ 32.02/4.64 Y5 @ Y6))) => 32.02/4.64 (Y3 @ 32.02/4.64 Y4 @ Y6)))))))))))) & 32.02/4.64 (((!!) @ ( 32.02/4.64 ^[Y4 : a]: 32.02/4.64 (( 32.02/4.64 (!!) @ ( 32.02/4.64 ^[Y5 : a]: 32.02/4.64 (( 32.02/4.64 (( 32.02/4.64 ('#sk2' @ 32.02/4.64 Y4 @ 32.02/4.64 Y5) | 32.02/4.64 ('#sk1' @ 32.02/4.64 Y4 @ Y5))) => 32.02/4.64 (Y3 @ 32.02/4.64 Y4 @ Y5))))))))))) => 32.02/4.64 (Y3 @ Y0 @ 32.02/4.64 Y1)))))) & 32.02/4.64 (((!!) @ (^[Y3 : a > a > $o]: 32.02/4.64 (((((((!!) @ ( 32.02/4.64 ^[Y4 : a]: 32.02/4.64 (( 32.02/4.64 (!!) @ ( 32.02/4.64 ^[Y5 : a]: 32.02/4.64 (( 32.02/4.64 (( 32.02/4.64 ('#sk2' @ 32.02/4.64 Y4 @ 32.02/4.64 Y5) | 32.02/4.64 ('#sk1' @ 32.02/4.64 Y4 @ Y5))) => 32.02/4.64 (Y3 @ 32.02/4.64 Y4 @ Y5))))))))) & 32.02/4.64 (((!!) @ ( 32.02/4.64 ^[Y4 : a]: 32.02/4.64 (( 32.02/4.64 (!!) @ ( 32.02/4.64 ^[Y5 : a]: 32.02/4.64 (( 32.02/4.64 (!!) @ ( 32.02/4.64 ^[Y6 : a]: 32.02/4.64 (( 32.02/4.64 (( 32.02/4.64 (Y3 @ 32.02/4.64 Y4 @ 32.02/4.64 Y5) & 32.02/4.64 (Y3 @ 32.02/4.64 Y5 @ Y6))) => 32.02/4.64 (Y3 @ 32.02/4.64 Y4 @ Y6)))))))))))))) => 32.02/4.64 (Y3 @ Y1 @ 32.02/4.64 Y2)))))))) => 32.02/4.64 (((!!) @ (^[Y3 : a > a > $o]: 32.02/4.64 (((((((!!) @ ( 32.02/4.64 ^[Y4 : a]: 32.02/4.64 ( 32.02/4.64 ( 32.02/4.64 (!!) @ ( 32.02/4.64 ^[Y5 : a]: 32.02/4.64 (( 32.02/4.64 (( 32.02/4.64 ('#sk2' @ 32.02/4.64 Y4 @ 32.02/4.64 Y5) | 32.02/4.64 ('#sk1' @ 32.02/4.64 Y4 @ Y5))) => 32.02/4.64 (Y3 @ 32.02/4.64 Y4 @ Y5))))))))) & 32.02/4.64 (((!!) @ ( 32.02/4.64 ^[Y4 : a]: 32.02/4.64 ( 32.02/4.64 ( 32.02/4.64 (!!) @ ( 32.02/4.64 ^[Y5 : a]: 32.02/4.64 (( 32.02/4.64 (!!) @ ( 32.02/4.64 ^[Y6 : a]: 32.02/4.64 (( 32.02/4.64 (( 32.02/4.64 (Y3 @ 32.02/4.64 Y4 @ 32.02/4.64 Y5) & 32.02/4.64 (Y3 @ 32.02/4.64 Y5 @ Y6))) => 32.02/4.64 (Y3 @ 32.02/4.64 Y4 @ Y6)))))))))))))) => 32.02/4.64 (Y3 @ Y0 @ Y2))))))))))))))))) 32.02/4.64 | (((!!) @ (^[Y0 : a > a > $o]: 32.02/4.64 (((((((!!) @ (^[Y1 : a]: 32.02/4.64 (((!!) @ (^[Y2 : a]: 32.02/4.64 ((((('#sk2' @ Y1 @ Y2) | 32.02/4.64 ('#sk1' @ Y1 @ Y2))) => 32.02/4.64 (Y0 @ Y1 @ Y2))))))))) & 32.02/4.64 (((!!) @ (^[Y1 : a]: 32.02/4.64 (((!!) @ (^[Y2 : a]: 32.02/4.64 (((!!) @ (^[Y3 : a]: 32.02/4.64 (((((Y0 @ Y1 @ 32.02/4.64 Y2) & (Y0 @ 32.02/4.64 Y2 @ Y3))) => 32.02/4.64 (Y0 @ Y1 @ Y3)))))))))))))) => 32.02/4.64 (Y0 @ '#sk3' @ '#sk4')))))))), 32.02/4.64 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl7])). 32.02/4.64 thf(zip_derived_cl12, plain, 32.02/4.64 ((~ (((!!) @ (^[Y0 : a]: 32.02/4.64 (((((((!!) @ (^[Y1 : a > a > $o]: 32.02/4.64 (((((((!!) @ (^[Y2 : a]: 32.02/4.64 (((!!) @ (^[Y3 : a]: 32.02/4.64 (((!!) @ ( 32.02/4.64 ^[Y4 : a]: 32.02/4.64 ( 32.02/4.64 ( 32.02/4.64 (( 32.02/4.64 (Y1 @ 32.02/4.64 Y2 @ 32.02/4.64 Y3) & 32.02/4.64 (Y1 @ 32.02/4.64 Y3 @ Y4))) => 32.02/4.64 (Y1 @ 32.02/4.64 Y2 @ Y4)))))))))))) & 32.02/4.64 (((!!) @ (^[Y2 : a]: 32.02/4.64 (((!!) @ (^[Y3 : a]: 32.02/4.64 ((('#sk2' @ 32.02/4.64 Y2 @ Y3) => 32.02/4.64 (Y1 @ Y2 @ 32.02/4.64 Y3))))))))))) => 32.02/4.64 (Y1 @ '#sk6' @ Y0)))))) | 32.02/4.64 (((!!) @ (^[Y1 : a > a > $o]: 32.02/4.64 (((((((!!) @ (^[Y2 : a]: 32.02/4.64 (((!!) @ (^[Y3 : a]: 32.02/4.64 ((('#sk1' @ 32.02/4.64 Y2 @ Y3) => 32.02/4.64 (Y1 @ Y2 @ 32.02/4.64 Y3))))))))) & 32.02/4.64 (((!!) @ (^[Y2 : a]: 32.02/4.64 (((!!) @ (^[Y3 : a]: 32.02/4.64 (((!!) @ ( 32.02/4.64 ^[Y4 : a]: 32.02/4.64 ( 32.02/4.64 ( 32.02/4.64 (( 32.02/4.64 (Y1 @ 32.02/4.64 Y2 @ 32.02/4.64 Y3) & 32.02/4.64 (Y1 @ 32.02/4.64 Y3 @ Y4))) => 32.02/4.64 (Y1 @ 32.02/4.64 Y2 @ Y4)))))))))))))) => 32.02/4.64 (Y1 @ '#sk6' @ Y0)))))))) => 32.02/4.64 (((!!) @ (^[Y1 : a > a > $o]: 32.02/4.64 (((((((!!) @ (^[Y2 : a]: 32.02/4.64 (((!!) @ (^[Y3 : a]: 32.02/4.64 ((((('#sk1' @ 32.02/4.64 Y2 @ Y3) | 32.02/4.64 ('#sk2' @ 32.02/4.64 Y2 @ Y3))) => 32.02/4.64 (Y1 @ Y2 @ 32.02/4.64 Y3))))))))) & 32.02/4.64 (((!!) @ (^[Y2 : a]: 32.02/4.64 (((!!) @ (^[Y3 : a]: 32.02/4.64 (((!!) @ ( 32.02/4.64 ^[Y4 : a]: 32.02/4.64 (((( 32.02/4.64 (Y1 @ 32.02/4.64 Y2 @ 32.02/4.64 Y3) & 32.02/4.64 (Y1 @ 32.02/4.64 Y3 @ Y4))) => 32.02/4.64 (Y1 @ 32.02/4.64 Y2 @ Y4)))))))))))))) => 32.02/4.64 (Y1 @ '#sk6' @ Y0))))))))))) 32.02/4.64 | (((!!) @ (^[Y0 : a > a > $o]: 32.02/4.64 (((((((!!) @ (^[Y1 : a]: 32.02/4.64 (((!!) @ (^[Y2 : a]: 32.02/4.64 ((((('#sk2' @ Y1 @ Y2) | 32.02/4.64 ('#sk1' @ Y1 @ Y2))) => 32.02/4.64 (Y0 @ Y1 @ Y2))))))))) & 32.02/4.64 (((!!) @ (^[Y1 : a]: 32.02/4.64 (((!!) @ (^[Y2 : a]: 32.02/4.64 (((!!) @ (^[Y3 : a]: 32.02/4.64 (((((Y0 @ Y1 @ 32.02/4.64 Y2) & (Y0 @ 32.02/4.64 Y2 @ Y3))) => 32.02/4.64 (Y0 @ Y1 @ Y3)))))))))))))) => 32.02/4.64 (Y0 @ '#sk3' @ '#sk4')))))) 32.02/4.64 | ~ (((!!) @ (^[Y0 : a]: 32.02/4.64 (((!!) @ (^[Y1 : a]: 32.02/4.64 (((!!) @ (^[Y2 : a]: 32.02/4.64 (((((((!!) @ (^[Y3 : a > a > $o]: 32.02/4.64 (((((((!!) @ ( 32.02/4.64 ^[Y4 : a]: 32.02/4.64 (( 32.02/4.64 (!!) @ ( 32.02/4.64 ^[Y5 : a]: 32.02/4.64 (( 32.02/4.64 (!!) @ ( 32.02/4.64 ^[Y6 : a]: 32.02/4.64 (( 32.02/4.64 (( 32.02/4.64 (Y3 @ 32.02/4.64 Y4 @ 32.02/4.64 Y5) & 32.02/4.64 (Y3 @ 32.02/4.64 Y5 @ Y6))) => 32.02/4.64 (Y3 @ 32.02/4.64 Y4 @ Y6)))))))))))) & 32.02/4.64 (((!!) @ ( 32.02/4.64 ^[Y4 : a]: 32.02/4.64 (( 32.02/4.64 (!!) @ ( 32.02/4.64 ^[Y5 : a]: 32.02/4.64 (( 32.02/4.64 (( 32.02/4.64 ('#sk2' @ 32.02/4.64 Y4 @ 32.02/4.64 Y5) | 32.02/4.64 ('#sk1' @ 32.02/4.64 Y4 @ Y5))) => 32.02/4.64 (Y3 @ 32.02/4.64 Y4 @ Y5))))))))))) => 32.02/4.64 (Y3 @ Y0 @ 32.02/4.64 Y1)))))) & 32.02/4.64 (((!!) @ (^[Y3 : a > a > $o]: 32.02/4.64 (((((((!!) @ ( 32.02/4.64 ^[Y4 : a]: 32.02/4.64 (( 32.02/4.64 (!!) @ ( 32.02/4.64 ^[Y5 : a]: 32.02/4.64 (( 32.02/4.64 (( 32.02/4.64 ('#sk2' @ 32.02/4.64 Y4 @ 32.02/4.64 Y5) | 32.02/4.64 ('#sk1' @ 32.02/4.64 Y4 @ Y5))) => 32.02/4.64 (Y3 @ 32.02/4.64 Y4 @ Y5))))))))) & 32.02/4.64 (((!!) @ ( 32.02/4.64 ^[Y4 : a]: 32.02/4.64 (( 32.02/4.64 (!!) @ ( 32.02/4.64 ^[Y5 : a]: 32.02/4.64 (( 32.02/4.64 (!!) @ ( 32.02/4.64 ^[Y6 : a]: 32.02/4.64 (( 32.02/4.64 (( 32.02/4.64 (Y3 @ 32.02/4.64 Y4 @ 32.02/4.64 Y5) & 32.02/4.64 (Y3 @ 32.02/4.64 Y5 @ Y6))) => 32.02/4.64 (Y3 @ 32.02/4.64 Y4 @ Y6)))))))))))))) => 32.02/4.64 (Y3 @ Y1 @ 32.02/4.64 Y2)))))))) => 32.02/4.64 (((!!) @ (^[Y3 : a > a > $o]: 32.02/4.64 (((((((!!) @ ( 32.02/4.64 ^[Y4 : a]: 32.02/4.64 ( 32.02/4.64 ( 32.02/4.64 (!!) @ ( 32.02/4.64 ^[Y5 : a]: 32.02/4.64 (( 32.02/4.64 (( 32.02/4.64 ('#sk2' @ 32.02/4.64 Y4 @ 32.02/4.64 Y5) | 32.02/4.64 ('#sk1' @ 32.02/4.64 Y4 @ Y5))) => 32.02/4.64 (Y3 @ 32.02/4.64 Y4 @ Y5))))))))) & 32.02/4.64 (((!!) @ ( 32.02/4.64 ^[Y4 : a]: 32.02/4.64 ( 32.02/4.64 ( 32.02/4.64 (!!) @ ( 32.02/4.64 ^[Y5 : a]: 32.02/4.64 (( 32.02/4.64 (!!) @ ( 32.02/4.64 ^[Y6 : a]: 32.02/4.64 (( 32.02/4.64 (( 32.02/4.64 (Y3 @ 32.02/4.64 Y4 @ 32.02/4.64 Y5) & 32.02/4.64 (Y3 @ 32.02/4.64 Y5 @ Y6))) => 32.02/4.64 (Y3 @ 32.02/4.64 Y4 @ Y6)))))))))))))) => 32.02/4.64 (Y3 @ Y0 @ Y2))))))))))))))))))), 32.02/4.64 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl9])). 32.02/4.64 thf(zip_derived_cl15, plain, 32.02/4.64 ((~ (((((((!!) @ (^[Y0 : a > a > $o]: 32.02/4.64 (((((((!!) @ (^[Y1 : a]: 32.02/4.64 (((!!) @ (^[Y2 : a]: 32.02/4.64 (((!!) @ (^[Y3 : a]: 32.02/4.64 (((((Y0 @ 32.02/4.64 Y1 @ 32.02/4.64 Y2) & 32.02/4.64 (Y0 @ 32.02/4.64 Y2 @ Y3))) => 32.02/4.64 (Y0 @ Y1 @ 32.02/4.64 Y3)))))))))))) & 32.02/4.64 (((!!) @ (^[Y1 : a]: 32.02/4.64 (((!!) @ (^[Y2 : a]: 32.02/4.64 ((('#sk2' @ Y1 @ Y2) => 32.02/4.64 (Y0 @ Y1 @ Y2))))))))))) => 32.02/4.64 (Y0 @ '#sk6' @ '#sk7')))))) | 32.02/4.64 (((!!) @ (^[Y0 : a > a > $o]: 32.02/4.64 (((((((!!) @ (^[Y1 : a]: 32.02/4.64 (((!!) @ (^[Y2 : a]: 32.02/4.64 ((('#sk1' @ Y1 @ Y2) => 32.02/4.64 (Y0 @ Y1 @ Y2))))))))) & 32.02/4.64 (((!!) @ (^[Y1 : a]: 32.02/4.64 (((!!) @ (^[Y2 : a]: 32.02/4.64 (((!!) @ (^[Y3 : a]: 32.02/4.64 (((((Y0 @ 32.02/4.64 Y1 @ 32.02/4.64 Y2) & 32.02/4.64 (Y0 @ 32.02/4.64 Y2 @ Y3))) => 32.02/4.64 (Y0 @ Y1 @ 32.02/4.64 Y3)))))))))))))) => 32.02/4.64 (Y0 @ '#sk6' @ '#sk7')))))))) => 32.02/4.64 (((!!) @ (^[Y0 : a > a > $o]: 32.02/4.64 (((((((!!) @ (^[Y1 : a]: 32.02/4.64 (((!!) @ (^[Y2 : a]: 32.02/4.64 ((((('#sk1' @ Y1 @ Y2) | 32.02/4.64 ('#sk2' @ Y1 @ Y2))) => 32.02/4.64 (Y0 @ Y1 @ Y2))))))))) & 32.02/4.64 (((!!) @ (^[Y1 : a]: 32.02/4.64 (((!!) @ (^[Y2 : a]: 32.02/4.64 (((!!) @ (^[Y3 : a]: 32.02/4.64 (((((Y0 @ Y1 @ 32.02/4.64 Y2) & 32.02/4.64 (Y0 @ Y2 @ 32.02/4.64 Y3))) => 32.02/4.64 (Y0 @ Y1 @ 32.02/4.64 Y3)))))))))))))) => 32.02/4.64 (Y0 @ '#sk6' @ '#sk7')))))))) 32.02/4.64 | ~ (((!!) @ (^[Y0 : a]: 32.02/4.64 (((!!) @ (^[Y1 : a]: 32.02/4.64 (((!!) @ (^[Y2 : a]: 32.02/4.64 (((((((!!) @ (^[Y3 : a > a > $o]: 32.02/4.64 (((((((!!) @ ( 32.02/4.64 ^[Y4 : a]: 32.02/4.64 (( 32.02/4.64 (!!) @ ( 32.02/4.64 ^[Y5 : a]: 32.02/4.64 (( 32.02/4.64 (!!) @ ( 32.02/4.64 ^[Y6 : a]: 32.02/4.64 (( 32.02/4.64 (( 32.02/4.64 (Y3 @ 32.02/4.64 Y4 @ 32.02/4.64 Y5) & 32.02/4.64 (Y3 @ 32.02/4.64 Y5 @ Y6))) => 32.02/4.64 (Y3 @ 32.02/4.64 Y4 @ Y6)))))))))))) & 32.02/4.64 (((!!) @ ( 32.02/4.64 ^[Y4 : a]: 32.02/4.64 (( 32.02/4.64 (!!) @ ( 32.02/4.64 ^[Y5 : a]: 32.02/4.64 (( 32.02/4.64 (( 32.02/4.64 ('#sk2' @ 32.02/4.64 Y4 @ 32.02/4.64 Y5) | 32.02/4.64 ('#sk1' @ 32.02/4.64 Y4 @ Y5))) => 32.02/4.64 (Y3 @ 32.02/4.64 Y4 @ Y5))))))))))) => 32.02/4.64 (Y3 @ Y0 @ 32.02/4.64 Y1)))))) & 32.02/4.64 (((!!) @ (^[Y3 : a > a > $o]: 32.02/4.64 (((((((!!) @ ( 32.02/4.64 ^[Y4 : a]: 32.02/4.64 (( 32.02/4.64 (!!) @ ( 32.02/4.64 ^[Y5 : a]: 32.02/4.64 (( 32.02/4.64 (( 32.02/4.64 ('#sk2' @ 32.02/4.64 Y4 @ 32.02/4.64 Y5) | 32.02/4.64 ('#sk1' @ 32.02/4.64 Y4 @ Y5))) => 32.02/4.64 (Y3 @ 32.02/4.64 Y4 @ Y5))))))))) & 32.02/4.64 (((!!) @ ( 32.02/4.64 ^[Y4 : a]: 32.02/4.64 (( 32.02/4.64 (!!) @ ( 32.02/4.64 ^[Y5 : a]: 32.02/4.64 (( 32.02/4.64 (!!) @ ( 32.02/4.64 ^[Y6 : a]: 32.02/4.64 (( 32.02/4.64 (( 32.02/4.64 (Y3 @ 32.02/4.64 Y4 @ 32.02/4.64 Y5) & 32.02/4.64 (Y3 @ 32.02/4.64 Y5 @ Y6))) => 32.02/4.64 (Y3 @ 32.02/4.64 Y4 @ Y6)))))))))))))) => 32.02/4.64 (Y3 @ Y1 @ 32.02/4.64 Y2)))))))) => 32.02/4.64 (((!!) @ (^[Y3 : a > a > $o]: 32.02/4.64 (((((((!!) @ ( 32.02/4.64 ^[Y4 : a]: 32.02/4.64 ( 32.02/4.64 ( 32.02/4.64 (!!) @ ( 32.02/4.64 ^[Y5 : a]: 32.02/4.64 (( 32.02/4.64 (( 32.02/4.64 ('#sk2' @ 32.02/4.64 Y4 @ 32.02/4.64 Y5) | 32.02/4.64 ('#sk1' @ 32.02/4.64 Y4 @ Y5))) => 32.02/4.64 (Y3 @ 32.02/4.64 Y4 @ Y5))))))))) & 32.02/4.64 (((!!) @ ( 32.02/4.64 ^[Y4 : a]: 32.02/4.64 ( 32.02/4.64 ( 32.02/4.64 (!!) @ ( 32.02/4.64 ^[Y5 : a]: 32.02/4.64 (( 32.02/4.64 (!!) @ ( 32.02/4.64 ^[Y6 : a]: 32.02/4.64 (( 32.02/4.64 (( 32.02/4.64 (Y3 @ 32.02/4.64 Y4 @ 32.02/4.64 Y5) & 32.02/4.64 (Y3 @ 32.02/4.64 Y5 @ Y6))) => 32.02/4.64 (Y3 @ 32.02/4.64 Y4 @ Y6)))))))))))))) => 32.02/4.64 (Y3 @ Y0 @ Y2))))))))))))))))) 32.02/4.64 | (((!!) @ (^[Y0 : a > a > $o]: 32.02/4.64 (((((((!!) @ (^[Y1 : a]: 32.02/4.64 (((!!) @ (^[Y2 : a]: 32.02/4.64 ((((('#sk2' @ Y1 @ Y2) | 32.02/4.64 ('#sk1' @ Y1 @ Y2))) => 32.02/4.64 (Y0 @ Y1 @ Y2))))))))) & 32.02/4.64 (((!!) @ (^[Y1 : a]: 32.02/4.64 (((!!) @ (^[Y2 : a]: 32.02/4.64 (((!!) @ (^[Y3 : a]: 32.02/4.64 (((((Y0 @ Y1 @ 32.02/4.64 Y2) & (Y0 @ 32.02/4.64 Y2 @ Y3))) => 32.02/4.64 (Y0 @ Y1 @ Y3)))))))))))))) => 32.02/4.64 (Y0 @ '#sk3' @ '#sk4')))))))), 32.02/4.64 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl12])). 32.02/4.64 thf(zip_derived_cl18, plain, 32.02/4.64 (( (((((!!) @ (^[Y0 : a > a > $o]: 32.02/4.64 (((((((!!) @ (^[Y1 : a]: 32.02/4.64 (((!!) @ (^[Y2 : a]: 32.02/4.64 (((!!) @ (^[Y3 : a]: 32.02/4.64 (((((Y0 @ Y1 @ 32.02/4.64 Y2) & (Y0 @ 32.02/4.64 Y2 @ Y3))) => 32.02/4.64 (Y0 @ Y1 @ Y3)))))))))))) & 32.02/4.64 (((!!) @ (^[Y1 : a]: 32.02/4.64 (((!!) @ (^[Y2 : a]: 32.02/4.64 ((('#sk2' @ Y1 @ Y2) => 32.02/4.64 (Y0 @ Y1 @ Y2))))))))))) => 32.02/4.64 (Y0 @ '#sk6' @ '#sk7')))))) | 32.02/4.64 (((!!) @ (^[Y0 : a > a > $o]: 32.02/4.64 (((((((!!) @ (^[Y1 : a]: 32.02/4.64 (((!!) @ (^[Y2 : a]: 32.02/4.64 ((('#sk1' @ Y1 @ Y2) => 32.02/4.64 (Y0 @ Y1 @ Y2))))))))) & 32.02/4.64 (((!!) @ (^[Y1 : a]: 32.02/4.64 (((!!) @ (^[Y2 : a]: 32.02/4.64 (((!!) @ (^[Y3 : a]: 32.02/4.64 (((((Y0 @ Y1 @ 32.02/4.64 Y2) & (Y0 @ 32.02/4.64 Y2 @ Y3))) => 32.02/4.64 (Y0 @ Y1 @ Y3)))))))))))))) => 32.02/4.64 (Y0 @ '#sk6' @ '#sk7')))))))) 32.02/4.64 | (((!!) @ (^[Y0 : a > a > $o]: 32.02/4.64 (((((((!!) @ (^[Y1 : a]: 32.02/4.64 (((!!) @ (^[Y2 : a]: 32.02/4.64 ((((('#sk2' @ Y1 @ Y2) | 32.02/4.64 ('#sk1' @ Y1 @ Y2))) => 32.02/4.64 (Y0 @ Y1 @ Y2))))))))) & 32.02/4.64 (((!!) @ (^[Y1 : a]: 32.02/4.64 (((!!) @ (^[Y2 : a]: 32.02/4.64 (((!!) @ (^[Y3 : a]: 32.02/4.64 (((((Y0 @ Y1 @ 32.02/4.64 Y2) & (Y0 @ 32.02/4.64 Y2 @ Y3))) => 32.02/4.64 (Y0 @ Y1 @ Y3)))))))))))))) => 32.02/4.64 (Y0 @ '#sk3' @ '#sk4')))))) 32.02/4.64 | ~ (((!!) @ (^[Y0 : a]: 32.02/4.64 (((!!) @ (^[Y1 : a]: 32.02/4.64 (((!!) @ (^[Y2 : a]: 32.02/4.64 (((((((!!) @ (^[Y3 : a > a > $o]: 32.02/4.64 (((((((!!) @ ( 32.02/4.64 ^[Y4 : a]: 32.02/4.64 (( 32.02/4.64 (!!) @ ( 32.02/4.64 ^[Y5 : a]: 32.02/4.64 (( 32.02/4.64 (!!) @ ( 32.02/4.64 ^[Y6 : a]: 32.02/4.64 (( 32.02/4.64 (( 32.02/4.64 (Y3 @ 32.02/4.64 Y4 @ 32.02/4.64 Y5) & 32.02/4.64 (Y3 @ 32.02/4.64 Y5 @ Y6))) => 32.02/4.64 (Y3 @ 32.02/4.64 Y4 @ Y6)))))))))))) & 32.02/4.64 (((!!) @ ( 32.02/4.64 ^[Y4 : a]: 32.02/4.64 (( 32.02/4.64 (!!) @ ( 32.02/4.64 ^[Y5 : a]: 32.02/4.64 (( 32.02/4.64 (( 32.02/4.64 ('#sk2' @ 32.02/4.64 Y4 @ 32.02/4.64 Y5) | 32.02/4.64 ('#sk1' @ 32.02/4.64 Y4 @ Y5))) => 32.02/4.64 (Y3 @ 32.02/4.64 Y4 @ Y5))))))))))) => 32.02/4.64 (Y3 @ Y0 @ 32.02/4.64 Y1)))))) & 32.02/4.64 (((!!) @ (^[Y3 : a > a > $o]: 32.02/4.64 (((((((!!) @ ( 32.02/4.64 ^[Y4 : a]: 32.02/4.64 (( 32.02/4.64 (!!) @ ( 32.02/4.64 ^[Y5 : a]: 32.02/4.64 (( 32.02/4.64 (( 32.02/4.64 ('#sk2' @ 32.02/4.64 Y4 @ 32.02/4.64 Y5) | 32.02/4.64 ('#sk1' @ 32.02/4.64 Y4 @ Y5))) => 32.02/4.64 (Y3 @ 32.02/4.64 Y4 @ Y5))))))))) & 32.02/4.64 (((!!) @ ( 32.02/4.64 ^[Y4 : a]: 32.02/4.64 (( 32.02/4.64 (!!) @ ( 32.02/4.64 ^[Y5 : a]: 32.02/4.64 (( 32.02/4.64 (!!) @ ( 32.02/4.64 ^[Y6 : a]: 32.02/4.64 (( 32.02/4.64 (( 32.02/4.64 (Y3 @ 32.02/4.64 Y4 @ 32.02/4.64 Y5) & 32.02/4.64 (Y3 @ 32.02/4.64 Y5 @ Y6))) => 32.02/4.64 (Y3 @ 32.02/4.64 Y4 @ Y6)))))))))))))) => 32.02/4.64 (Y3 @ Y1 @ 32.02/4.64 Y2)))))))) => 32.02/4.64 (((!!) @ (^[Y3 : a > a > $o]: 32.02/4.64 (((((((!!) @ ( 32.02/4.64 ^[Y4 : a]: 32.02/4.64 ( 32.02/4.64 ( 32.02/4.64 (!!) @ ( 32.02/4.64 ^[Y5 : a]: 32.02/4.64 (( 32.02/4.64 (( 32.02/4.64 ('#sk2' @ 32.02/4.64 Y4 @ 32.02/4.64 Y5) | 32.02/4.64 ('#sk1' @ 32.02/4.64 Y4 @ Y5))) => 32.02/4.64 (Y3 @ 32.02/4.64 Y4 @ Y5))))))))) & 32.02/4.64 (((!!) @ ( 32.02/4.64 ^[Y4 : a]: 32.02/4.64 ( 32.02/4.64 ( 32.02/4.64 (!!) @ ( 32.02/4.64 ^[Y5 : a]: 32.02/4.64 (( 32.02/4.64 (!!) @ ( 32.02/4.64 ^[Y6 : a]: 32.02/4.64 (( 32.02/4.64 (( 32.02/4.64 (Y3 @ 32.02/4.64 Y4 @ 32.02/4.64 Y5) & 32.02/4.64 (Y3 @ 32.02/4.64 Y5 @ Y6))) => 32.02/4.64 (Y3 @ 32.02/4.64 Y4 @ Y6)))))))))))))) => 32.02/4.64 (Y3 @ Y0 @ Y2))))))))))))))))))), 32.02/4.64 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl15])). 32.02/4.64 thf(zip_derived_cl22, plain, 32.02/4.64 (( (((!!) @ (^[Y0 : a > a > $o]: 32.02/4.64 (((((((!!) @ (^[Y1 : a]: 32.02/4.64 (((!!) @ (^[Y2 : a]: 32.02/4.64 (((!!) @ (^[Y3 : a]: 32.02/4.64 (((((Y0 @ Y1 @ 32.02/4.64 Y2) & (Y0 @ 32.02/4.64 Y2 @ Y3))) => 32.02/4.64 (Y0 @ Y1 @ Y3)))))))))))) & 32.02/4.64 (((!!) @ (^[Y1 : a]: 32.02/4.64 (((!!) @ (^[Y2 : a]: 32.02/4.64 ((('#sk2' @ Y1 @ Y2) => (Y0 @ 32.02/4.64 Y1 @ Y2))))))))))) => 32.02/4.64 (Y0 @ '#sk6' @ '#sk7')))))) 32.02/4.64 | (((!!) @ (^[Y0 : a > a > $o]: 32.02/4.64 (((((((!!) @ (^[Y1 : a]: 32.02/4.64 (((!!) @ (^[Y2 : a]: 32.02/4.64 ((('#sk1' @ Y1 @ Y2) => 32.02/4.64 (Y0 @ Y1 @ Y2))))))))) & 32.02/4.64 (((!!) @ (^[Y1 : a]: 32.02/4.64 (((!!) @ (^[Y2 : a]: 32.02/4.64 (((!!) @ (^[Y3 : a]: 32.02/4.64 (((((Y0 @ Y1 @ 32.02/4.64 Y2) & (Y0 @ 32.02/4.64 Y2 @ Y3))) => 32.02/4.64 (Y0 @ Y1 @ Y3)))))))))))))) => 32.02/4.64 (Y0 @ '#sk6' @ '#sk7')))))) 32.02/4.64 | ~ (((!!) @ (^[Y0 : a]: 32.02/4.64 (((!!) @ (^[Y1 : a]: 32.02/4.64 (((!!) @ (^[Y2 : a]: 32.02/4.64 (((((((!!) @ (^[Y3 : a > a > $o]: 32.02/4.64 (((((((!!) @ ( 32.02/4.64 ^[Y4 : a]: 32.02/4.64 (( 32.02/4.64 (!!) @ ( 32.02/4.64 ^[Y5 : a]: 32.02/4.64 (( 32.02/4.64 (!!) @ ( 32.02/4.64 ^[Y6 : a]: 32.02/4.64 (( 32.02/4.64 (( 32.02/4.64 (Y3 @ 32.02/4.64 Y4 @ 32.02/4.64 Y5) & 32.02/4.64 (Y3 @ 32.02/4.64 Y5 @ Y6))) => 32.02/4.64 (Y3 @ 32.02/4.64 Y4 @ Y6)))))))))))) & 32.02/4.64 (((!!) @ ( 32.02/4.64 ^[Y4 : a]: 32.02/4.64 (( 32.02/4.64 (!!) @ ( 32.02/4.64 ^[Y5 : a]: 32.02/4.64 (( 32.02/4.64 (( 32.02/4.64 ('#sk2' @ 32.02/4.64 Y4 @ 32.02/4.64 Y5) | 32.02/4.64 ('#sk1' @ 32.02/4.64 Y4 @ Y5))) => 32.02/4.64 (Y3 @ 32.02/4.64 Y4 @ Y5))))))))))) => 32.02/4.64 (Y3 @ Y0 @ 32.02/4.64 Y1)))))) & 32.02/4.64 (((!!) @ (^[Y3 : a > a > $o]: 32.02/4.64 (((((((!!) @ ( 32.02/4.64 ^[Y4 : a]: 32.02/4.64 (( 32.02/4.64 (!!) @ ( 32.02/4.64 ^[Y5 : a]: 32.02/4.64 (( 32.02/4.64 (( 32.02/4.64 ('#sk2' @ 32.02/4.64 Y4 @ 32.02/4.64 Y5) | 32.02/4.64 ('#sk1' @ 32.02/4.64 Y4 @ Y5))) => 32.02/4.64 (Y3 @ 32.02/4.64 Y4 @ Y5))))))))) & 32.02/4.64 (((!!) @ ( 32.02/4.64 ^[Y4 : a]: 32.02/4.64 (( 32.02/4.64 (!!) @ ( 32.02/4.64 ^[Y5 : a]: 32.02/4.64 (( 32.02/4.64 (!!) @ ( 32.02/4.64 ^[Y6 : a]: 32.02/4.64 (( 32.02/4.64 (( 32.02/4.64 (Y3 @ 32.02/4.64 Y4 @ 32.02/4.64 Y5) & 32.02/4.64 (Y3 @ 32.02/4.64 Y5 @ Y6))) => 32.02/4.64 (Y3 @ 32.02/4.64 Y4 @ Y6)))))))))))))) => 32.02/4.64 (Y3 @ Y1 @ 32.02/4.64 Y2)))))))) => 32.02/4.64 (((!!) @ (^[Y3 : a > a > $o]: 32.02/4.64 (((((((!!) @ ( 32.02/4.64 ^[Y4 : a]: 32.02/4.64 ( 32.02/4.64 ( 32.02/4.64 (!!) @ ( 32.02/4.64 ^[Y5 : a]: 32.02/4.64 (( 32.02/4.64 (( 32.02/4.64 ('#sk2' @ 32.02/4.64 Y4 @ 32.02/4.64 Y5) | 32.02/4.64 ('#sk1' @ 32.02/4.64 Y4 @ Y5))) => 32.02/4.64 (Y3 @ 32.02/4.64 Y4 @ Y5))))))))) & 32.02/4.64 (((!!) @ ( 32.02/4.64 ^[Y4 : a]: 32.02/4.64 ( 32.02/4.64 ( 32.02/4.64 (!!) @ ( 32.02/4.64 ^[Y5 : a]: 32.02/4.64 (( 32.02/4.64 (!!) @ ( 32.02/4.64 ^[Y6 : a]: 32.02/4.64 (( 32.02/4.64 (( 32.02/4.64 (Y3 @ 32.02/4.64 Y4 @ 32.02/4.64 Y5) & 32.02/4.64 (Y3 @ 32.02/4.64 Y5 @ Y6))) => 32.02/4.64 (Y3 @ 32.02/4.64 Y4 @ Y6)))))))))))))) => 32.02/4.64 (Y3 @ Y0 @ Y2))))))))))))))))) 32.02/4.64 | (((!!) @ (^[Y0 : a > a > $o]: 32.02/4.64 (((((((!!) @ (^[Y1 : a]: 32.02/4.64 (((!!) @ (^[Y2 : a]: 32.02/4.64 ((((('#sk2' @ Y1 @ Y2) | 32.02/4.64 ('#sk1' @ Y1 @ Y2))) => 32.02/4.64 (Y0 @ Y1 @ Y2))))))))) & 32.02/4.64 (((!!) @ (^[Y1 : a]: 32.02/4.64 (((!!) @ (^[Y2 : a]: 32.02/4.64 (((!!) @ (^[Y3 : a]: 32.02/4.64 (((((Y0 @ Y1 @ 32.02/4.64 Y2) & (Y0 @ 32.02/4.64 Y2 @ Y3))) => 32.02/4.64 (Y0 @ Y1 @ Y3)))))))))))))) => 32.02/4.64 (Y0 @ '#sk3' @ '#sk4')))))))), 32.02/4.64 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl18])). 32.02/4.64 thf(zip_derived_cl26, plain, 32.02/4.64 (![X2 : a > a > $o]: 32.02/4.64 ( (((((((!!) @ (^[Y0 : a]: 32.02/4.64 (((!!) @ (^[Y1 : a]: 32.02/4.64 (((!!) @ (^[Y2 : a]: 32.02/4.64 (((((X2 @ Y0 @ Y1) & (X2 @ 32.02/4.64 Y1 @ Y2))) => 32.02/4.64 (X2 @ Y0 @ Y2)))))))))))) & 32.02/4.64 (((!!) @ (^[Y0 : a]: 32.02/4.64 (((!!) @ (^[Y1 : a]: 32.02/4.64 ((('#sk2' @ Y0 @ Y1) => (X2 @ Y0 @ Y1))))))))))) => 32.02/4.64 (X2 @ '#sk6' @ '#sk7'))) 32.02/4.64 | (((!!) @ (^[Y0 : a > a > $o]: 32.02/4.64 (((((((!!) @ (^[Y1 : a]: 32.02/4.64 (((!!) @ (^[Y2 : a]: 32.02/4.64 ((((('#sk2' @ Y1 @ Y2) | 32.02/4.64 ('#sk1' @ Y1 @ Y2))) => 32.02/4.64 (Y0 @ Y1 @ Y2))))))))) & 32.02/4.64 (((!!) @ (^[Y1 : a]: 32.02/4.64 (((!!) @ (^[Y2 : a]: 32.02/4.64 (((!!) @ (^[Y3 : a]: 32.02/4.64 (((((Y0 @ 32.02/4.64 Y1 @ Y2) & 32.02/4.64 (Y0 @ 32.02/4.64 Y2 @ Y3))) => 32.02/4.64 (Y0 @ Y1 @ 32.02/4.64 Y3)))))))))))))) => 32.02/4.64 (Y0 @ '#sk3' @ '#sk4')))))) 32.02/4.64 | ~ (((!!) @ (^[Y0 : a]: 32.02/4.64 (((!!) @ (^[Y1 : a]: 32.02/4.64 (((!!) @ (^[Y2 : a]: 32.02/4.64 (((((((!!) @ (^[Y3 : 32.02/4.64 a > a > $o]: 32.02/4.64 (((((( 32.02/4.64 (!!) @ ( 32.02/4.64 ^[Y4 : a]: 32.02/4.64 (( 32.02/4.64 (!!) @ ( 32.02/4.64 ^[Y5 : a]: 32.02/4.64 (( 32.02/4.64 (!!) @ ( 32.02/4.64 ^[Y6 : a]: 32.02/4.64 (( 32.02/4.64 (( 32.02/4.64 (Y3 @ 32.02/4.64 Y4 @ 32.02/4.64 Y5) & 32.02/4.64 (Y3 @ 32.02/4.64 Y5 @ Y6))) => 32.02/4.64 (Y3 @ 32.02/4.64 Y4 @ Y6)))))))))))) & 32.02/4.64 (( 32.02/4.64 (!!) @ ( 32.02/4.64 ^[Y4 : a]: 32.02/4.64 (( 32.02/4.64 (!!) @ ( 32.02/4.64 ^[Y5 : a]: 32.02/4.64 (( 32.02/4.64 (( 32.02/4.64 ('#sk2' @ 32.02/4.64 Y4 @ 32.02/4.64 Y5) | 32.02/4.64 ('#sk1' @ 32.02/4.64 Y4 @ Y5))) => 32.02/4.64 (Y3 @ 32.02/4.64 Y4 @ Y5))))))))))) => 32.02/4.64 (Y3 @ Y0 @ 32.02/4.64 Y1)))))) & 32.02/4.64 (((!!) @ (^[Y3 : 32.02/4.64 a > a > $o]: 32.02/4.64 (((((( 32.02/4.64 (!!) @ ( 32.02/4.64 ^[Y4 : a]: 32.02/4.64 (( 32.02/4.64 (!!) @ ( 32.02/4.64 ^[Y5 : a]: 32.02/4.64 (( 32.02/4.64 (( 32.02/4.64 ('#sk2' @ 32.02/4.64 Y4 @ 32.02/4.64 Y5) | 32.02/4.64 ('#sk1' @ 32.02/4.64 Y4 @ Y5))) => 32.02/4.64 (Y3 @ 32.02/4.64 Y4 @ Y5))))))))) & 32.02/4.64 (( 32.02/4.64 (!!) @ ( 32.02/4.64 ^[Y4 : a]: 32.02/4.64 (( 32.02/4.64 (!!) @ ( 32.02/4.64 ^[Y5 : a]: 32.02/4.64 (( 32.02/4.64 (!!) @ ( 32.02/4.64 ^[Y6 : a]: 32.02/4.64 (( 32.02/4.64 (( 32.02/4.64 (Y3 @ 32.02/4.64 Y4 @ 32.02/4.64 Y5) & 32.02/4.64 (Y3 @ 32.02/4.64 Y5 @ Y6))) => 32.02/4.64 (Y3 @ 32.02/4.64 Y4 @ Y6)))))))))))))) => 32.02/4.64 (Y3 @ Y1 @ 32.02/4.64 Y2)))))))) => 32.02/4.64 (((!!) @ (^[Y3 : a > a > $o]: 32.02/4.64 (((((((!!) @ ( 32.02/4.64 ^[Y4 : a]: 32.02/4.64 (( 32.02/4.64 (!!) @ ( 32.02/4.64 ^[Y5 : a]: 32.02/4.64 (( 32.02/4.64 (( 32.02/4.64 ('#sk2' @ 32.02/4.64 Y4 @ 32.02/4.64 Y5) | 32.02/4.64 ('#sk1' @ 32.02/4.64 Y4 @ Y5))) => 32.02/4.64 (Y3 @ 32.02/4.64 Y4 @ Y5))))))))) & 32.02/4.64 (((!!) @ ( 32.02/4.64 ^[Y4 : a]: 32.02/4.64 (( 32.02/4.64 (!!) @ ( 32.02/4.64 ^[Y5 : a]: 32.02/4.64 (( 32.02/4.64 (!!) @ ( 32.02/4.64 ^[Y6 : a]: 32.02/4.64 (( 32.02/4.64 (( 32.02/4.64 (Y3 @ 32.02/4.64 Y4 @ 32.02/4.64 Y5) & 32.02/4.64 (Y3 @ 32.02/4.64 Y5 @ Y6))) => 32.02/4.64 (Y3 @ 32.02/4.64 Y4 @ Y6)))))))))))))) => 32.02/4.64 (Y3 @ Y0 @ 32.02/4.64 Y2))))))))))))))))) 32.02/4.64 | (((!!) @ (^[Y0 : a > a > $o]: 32.02/4.64 (((((((!!) @ (^[Y1 : a]: 32.02/4.64 (((!!) @ (^[Y2 : a]: 32.02/4.64 ((('#sk1' @ Y1 @ Y2) => 32.02/4.64 (Y0 @ Y1 @ Y2))))))))) & 32.02/4.64 (((!!) @ (^[Y1 : a]: 32.02/4.64 (((!!) @ (^[Y2 : a]: 32.02/4.64 (((!!) @ (^[Y3 : a]: 32.02/4.64 (((((Y0 @ 32.02/4.64 Y1 @ Y2) & 32.02/4.64 (Y0 @ 32.02/4.64 Y2 @ Y3))) => 32.02/4.64 (Y0 @ Y1 @ 32.02/4.64 Y3)))))))))))))) => 32.02/4.64 (Y0 @ '#sk6' @ '#sk7')))))))), 32.02/4.64 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl22])). 32.02/4.64 thf(zip_derived_cl26, plain, 32.02/4.64 (![X2 : a > a > $o]: 32.02/4.64 ( (((((((!!) @ (^[Y0 : a]: 32.02/4.64 (((!!) @ (^[Y1 : a]: 32.02/4.64 (((!!) @ (^[Y2 : a]: 32.02/4.64 (((((X2 @ Y0 @ Y1) & (X2 @ 32.02/4.64 Y1 @ Y2))) => 32.02/4.64 (X2 @ Y0 @ Y2)))))))))))) & 32.02/4.64 (((!!) @ (^[Y0 : a]: 32.02/4.64 (((!!) @ (^[Y1 : a]: 32.02/4.64 ((('#sk2' @ Y0 @ Y1) => (X2 @ Y0 @ Y1))))))))))) => 32.02/4.64 (X2 @ '#sk6' @ '#sk7'))) 32.02/4.64 | (((!!) @ (^[Y0 : a > a > $o]: 32.02/4.64 (((((((!!) @ (^[Y1 : a]: 32.02/4.64 (((!!) @ (^[Y2 : a]: 32.02/4.64 ((((('#sk2' @ Y1 @ Y2) | 32.02/4.64 ('#sk1' @ Y1 @ Y2))) => 32.02/4.64 (Y0 @ Y1 @ Y2))))))))) & 32.02/4.64 (((!!) @ (^[Y1 : a]: 32.02/4.64 (((!!) @ (^[Y2 : a]: 32.02/4.64 (((!!) @ (^[Y3 : a]: 32.02/4.64 (((((Y0 @ 32.02/4.64 Y1 @ Y2) & 32.02/4.64 (Y0 @ 32.02/4.64 Y2 @ Y3))) => 32.02/4.64 (Y0 @ Y1 @ 32.02/4.64 Y3)))))))))))))) => 32.02/4.64 (Y0 @ '#sk3' @ '#sk4')))))) 32.02/4.64 | ~ (((!!) @ (^[Y0 : a]: 32.02/4.64 (((!!) @ (^[Y1 : a]: 32.02/4.64 (((!!) @ (^[Y2 : a]: 32.02/4.64 (((((((!!) @ (^[Y3 : 32.02/4.64 a > a > $o]: 32.02/4.64 (((((( 32.02/4.64 (!!) @ ( 32.02/4.64 ^[Y4 : a]: 32.02/4.64 (( 32.02/4.64 (!!) @ ( 32.02/4.64 ^[Y5 : a]: 32.02/4.64 (( 32.02/4.64 (!!) @ ( 32.02/4.64 ^[Y6 : a]: 32.02/4.64 (( 32.02/4.64 (( 32.02/4.64 (Y3 @ 32.02/4.64 Y4 @ 32.02/4.64 Y5) & 32.02/4.64 (Y3 @ 32.02/4.64 Y5 @ Y6))) => 32.02/4.64 (Y3 @ 32.02/4.64 Y4 @ Y6)))))))))))) & 32.02/4.64 (( 32.02/4.64 (!!) @ ( 32.02/4.64 ^[Y4 : a]: 32.02/4.64 (( 32.02/4.64 (!!) @ ( 32.02/4.64 ^[Y5 : a]: 32.02/4.64 (( 32.02/4.64 (( 32.02/4.64 ('#sk2' @ 32.02/4.64 Y4 @ 32.02/4.64 Y5) | 32.02/4.64 ('#sk1' @ 32.02/4.64 Y4 @ Y5))) => 32.02/4.64 (Y3 @ 32.02/4.64 Y4 @ Y5))))))))))) => 32.02/4.64 (Y3 @ Y0 @ 32.02/4.64 Y1)))))) & 32.02/4.64 (((!!) @ (^[Y3 : 32.02/4.64 a > a > $o]: 32.02/4.64 (((((( 32.02/4.64 (!!) @ ( 32.02/4.64 ^[Y4 : a]: 32.02/4.64 (( 32.02/4.64 (!!) @ ( 32.02/4.64 ^[Y5 : a]: 32.02/4.64 (( 32.02/4.64 (( 32.02/4.64 ('#sk2' @ 32.02/4.64 Y4 @ 32.02/4.64 Y5) | 32.02/4.64 ('#sk1' @ 32.02/4.64 Y4 @ Y5))) => 32.02/4.64 (Y3 @ 32.02/4.64 Y4 @ Y5))))))))) & 32.02/4.64 (( 32.02/4.64 (!!) @ ( 32.02/4.64 ^[Y4 : a]: 32.02/4.64 (( 32.02/4.64 (!!) @ ( 32.02/4.64 ^[Y5 : a]: 32.02/4.64 (( 32.02/4.64 (!!) @ ( 32.02/4.64 ^[Y6 : a]: 32.02/4.64 (( 32.02/4.64 (( 32.02/4.64 (Y3 @ 32.02/4.64 Y4 @ 32.02/4.64 Y5) & 32.02/4.64 (Y3 @ 32.02/4.64 Y5 @ Y6))) => 32.02/4.64 (Y3 @ 32.02/4.64 Y4 @ Y6)))))))))))))) => 32.02/4.64 (Y3 @ Y1 @ 32.02/4.64 Y2)))))))) => 32.02/4.64 (((!!) @ (^[Y3 : a > a > $o]: 32.02/4.64 (((((((!!) @ ( 32.02/4.64 ^[Y4 : a]: 32.02/4.64 (( 32.02/4.64 (!!) @ ( 32.02/4.64 ^[Y5 : a]: 32.02/4.64 (( 32.02/4.64 (( 32.02/4.64 ('#sk2' @ 32.02/4.64 Y4 @ 32.02/4.64 Y5) | 32.02/4.64 ('#sk1' @ 32.02/4.64 Y4 @ Y5))) => 32.02/4.64 (Y3 @ 32.02/4.64 Y4 @ Y5))))))))) & 32.02/4.64 (((!!) @ ( 32.02/4.64 ^[Y4 : a]: 32.02/4.64 (( 32.02/4.64 (!!) @ ( 32.02/4.64 ^[Y5 : a]: 32.02/4.64 (( 32.02/4.64 (!!) @ ( 32.02/4.64 ^[Y6 : a]: 32.02/4.64 (( 32.02/4.64 (( 32.02/4.64 (Y3 @ 32.02/4.64 Y4 @ 32.02/4.64 Y5) & 32.02/4.64 (Y3 @ 32.02/4.64 Y5 @ Y6))) => 32.02/4.64 (Y3 @ 32.02/4.64 Y4 @ Y6)))))))))))))) => 32.02/4.64 (Y3 @ Y0 @ 32.02/4.64 Y2))))))))))))))))) 32.02/4.64 | (((!!) @ (^[Y0 : a > a > $o]: 32.02/4.64 (((((((!!) @ (^[Y1 : a]: 32.02/4.64 (((!!) @ (^[Y2 : a]: 32.02/4.64 ((('#sk1' @ Y1 @ Y2) => 32.02/4.64 (Y0 @ Y1 @ Y2))))))))) & 32.02/4.64 (((!!) @ (^[Y1 : a]: 32.02/4.64 (((!!) @ (^[Y2 : a]: 32.02/4.64 (((!!) @ (^[Y3 : a]: 32.02/4.64 (((((Y0 @ 32.02/4.64 Y1 @ Y2) & 32.02/4.64 (Y0 @ 32.02/4.64 Y2 @ Y3))) => 32.02/4.64 (Y0 @ Y1 @ 32.02/4.64 Y3)))))))))))))) => 32.02/4.64 (Y0 @ '#sk6' @ '#sk7')))))))), 32.02/4.64 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl22])). 32.02/4.64 thf(zip_derived_cl37, plain, 32.02/4.64 ((~ ('#form19') 32.02/4.64 | (((!!) @ (^[Y0 : a > a > $o]: 32.02/4.64 (((((((!!) @ (^[Y1 : a]: 32.02/4.64 (((!!) @ (^[Y2 : a]: 32.02/4.64 ((((('#sk2' @ Y1 @ Y2) | 32.02/4.64 ('#sk1' @ Y1 @ Y2))) => 32.02/4.64 (Y0 @ Y1 @ Y2))))))))) & 32.02/4.64 (((!!) @ (^[Y1 : a]: 32.02/4.64 (((!!) @ (^[Y2 : a]: 32.02/4.64 (((!!) @ (^[Y3 : a]: 32.02/4.64 (((((Y0 @ Y1 @ 32.02/4.64 Y2) & (Y0 @ 32.02/4.64 Y2 @ Y3))) => 32.02/4.64 (Y0 @ Y1 @ Y3)))))))))))))) => 32.02/4.64 (Y0 @ '#sk3' @ '#sk4')))))))), 32.02/4.64 define([status(thm)])). 32.02/4.64 thf(zip_derived_cl43, plain, 32.02/4.64 (![X2 : a > a > $o]: 32.02/4.64 ( ('#form19') 32.02/4.64 | (((!!) @ (^[Y0 : a > a > $o]: 32.02/4.64 (((((((!!) @ (^[Y1 : a]: 32.02/4.64 (((!!) @ (^[Y2 : a]: 32.02/4.64 ((('#sk1' @ Y1 @ Y2) => 32.02/4.64 (Y0 @ Y1 @ Y2))))))))) & 32.02/4.64 (((!!) @ (^[Y1 : a]: 32.02/4.64 (((!!) @ (^[Y2 : a]: 32.02/4.64 (((!!) @ (^[Y3 : a]: 32.02/4.64 (((((Y0 @ 32.02/4.64 Y1 @ Y2) & 32.02/4.64 (Y0 @ 32.02/4.64 Y2 @ Y3))) => 32.02/4.64 (Y0 @ Y1 @ 32.02/4.64 Y3)))))))))))))) => 32.02/4.64 (Y0 @ '#sk6' @ '#sk7')))))) 32.02/4.64 | ~ (((!!) @ (^[Y0 : a]: 32.02/4.64 (((!!) @ (^[Y1 : a]: 32.02/4.64 (((!!) @ (^[Y2 : a]: 32.02/4.64 (((((((!!) @ (^[Y3 : 32.02/4.64 a > a > $o]: 32.02/4.64 (((((( 32.02/4.64 (!!) @ ( 32.02/4.64 ^[Y4 : a]: 32.02/4.64 (( 32.02/4.64 (!!) @ ( 32.02/4.64 ^[Y5 : a]: 32.02/4.64 (( 32.02/4.64 (!!) @ ( 32.02/4.64 ^[Y6 : a]: 32.02/4.64 (( 32.02/4.64 (( 32.02/4.64 (Y3 @ 32.02/4.64 Y4 @ 32.02/4.64 Y5) & 32.02/4.64 (Y3 @ 32.02/4.64 Y5 @ Y6))) => 32.02/4.64 (Y3 @ 32.02/4.64 Y4 @ Y6)))))))))))) & 32.02/4.64 (( 32.02/4.64 (!!) @ ( 32.02/4.64 ^[Y4 : a]: 32.02/4.64 (( 32.02/4.64 (!!) @ ( 32.02/4.64 ^[Y5 : a]: 32.02/4.64 (( 32.02/4.64 (( 32.02/4.64 ('#sk2' @ 32.02/4.64 Y4 @ 32.02/4.64 Y5) | 32.02/4.64 ('#sk1' @ 32.02/4.64 Y4 @ Y5))) => 32.02/4.64 (Y3 @ 32.02/4.64 Y4 @ Y5))))))))))) => 32.02/4.64 (Y3 @ Y0 @ 32.02/4.64 Y1)))))) & 32.02/4.64 (((!!) @ (^[Y3 : 32.02/4.64 a > a > $o]: 32.02/4.64 (((((( 32.02/4.64 (!!) @ ( 32.02/4.64 ^[Y4 : a]: 32.02/4.64 (( 32.02/4.64 (!!) @ ( 32.02/4.64 ^[Y5 : a]: 32.02/4.64 (( 32.02/4.64 (( 32.02/4.64 ('#sk2' @ 32.02/4.64 Y4 @ 32.02/4.64 Y5) | 32.02/4.64 ('#sk1' @ 32.02/4.64 Y4 @ Y5))) => 32.02/4.64 (Y3 @ 32.02/4.64 Y4 @ Y5))))))))) & 32.02/4.64 (( 32.02/4.64 (!!) @ ( 32.02/4.64 ^[Y4 : a]: 32.02/4.64 (( 32.02/4.64 (!!) @ ( 32.02/4.64 ^[Y5 : a]: 32.02/4.64 (( 32.02/4.64 (!!) @ ( 32.02/4.64 ^[Y6 : a]: 32.02/4.64 (( 32.02/4.64 (( 32.02/4.64 (Y3 @ 32.02/4.64 Y4 @ 32.02/4.64 Y5) & 32.02/4.64 (Y3 @ 32.02/4.64 Y5 @ Y6))) => 32.02/4.64 (Y3 @ 32.02/4.64 Y4 @ Y6)))))))))))))) => 32.02/4.64 (Y3 @ Y1 @ 32.02/4.64 Y2)))))))) => 32.02/4.64 (((!!) @ (^[Y3 : a > a > $o]: 32.02/4.64 (((((((!!) @ ( 32.02/4.64 ^[Y4 : a]: 32.02/4.64 (( 32.02/4.64 (!!) @ ( 32.02/4.64 ^[Y5 : a]: 32.02/4.64 (( 32.02/4.64 (( 32.02/4.64 ('#sk2' @ 32.02/4.64 Y4 @ 32.02/4.64 Y5) | 32.02/4.64 ('#sk1' @ 32.02/4.64 Y4 @ Y5))) => 32.02/4.64 (Y3 @ 32.02/4.64 Y4 @ Y5))))))))) & 32.02/4.64 (((!!) @ ( 32.02/4.64 ^[Y4 : a]: 32.02/4.64 (( 32.02/4.64 (!!) @ ( 32.02/4.64 ^[Y5 : a]: 32.02/4.64 (( 32.02/4.64 (!!) @ ( 32.02/4.64 ^[Y6 : a]: 32.02/4.64 (( 32.02/4.64 (( 32.02/4.64 (Y3 @ 32.02/4.64 Y4 @ 32.02/4.64 Y5) & 32.02/4.64 (Y3 @ 32.02/4.64 Y5 @ Y6))) => 32.02/4.64 (Y3 @ 32.02/4.64 Y4 @ Y6)))))))))))))) => 32.02/4.64 (Y3 @ Y0 @ 32.02/4.64 Y2))))))))))))))))) 32.02/4.64 | (((((((!!) @ (^[Y0 : a]: 32.02/4.64 (((!!) @ (^[Y1 : a]: 32.02/4.64 (((!!) @ (^[Y2 : a]: 32.02/4.64 (((((X2 @ Y0 @ Y1) & 32.02/4.64 (X2 @ Y1 @ Y2))) => 32.02/4.64 (X2 @ Y0 @ Y2)))))))))))) & 32.02/4.64 (((!!) @ (^[Y0 : a]: 32.02/4.64 (((!!) @ (^[Y1 : a]: 32.02/4.64 ((('#sk2' @ Y0 @ Y1) => (X2 @ Y0 @ Y1))))))))))) => 32.02/4.64 (X2 @ '#sk6' @ '#sk7'))))), 32.02/4.64 inference('renaming', [status(thm)], [zip_derived_cl26, zip_derived_cl37])). 32.02/4.64 thf(zip_derived_cl47, plain, 32.02/4.64 ((~ ('#form29') 32.02/4.64 | (((!!) @ (^[Y0 : a > a > $o]: 32.02/4.64 (((((((!!) @ (^[Y1 : a]: 32.02/4.64 (((!!) @ (^[Y2 : a]: 32.02/4.64 ((('#sk1' @ Y1 @ Y2) => 32.02/4.64 (Y0 @ Y1 @ Y2))))))))) & 32.02/4.64 (((!!) @ (^[Y1 : a]: 32.02/4.64 (((!!) @ (^[Y2 : a]: 32.02/4.64 (((!!) @ (^[Y3 : a]: 32.02/4.64 (((((Y0 @ Y1 @ 32.02/4.64 Y2) & (Y0 @ 32.02/4.64 Y2 @ Y3))) => 32.02/4.64 (Y0 @ Y1 @ Y3)))))))))))))) => 32.02/4.64 (Y0 @ '#sk6' @ '#sk7')))))))), 32.02/4.64 define([status(thm)])). 32.02/4.64 thf(zip_derived_cl48, plain, 32.02/4.64 (![X2 : a > a > $o]: 32.02/4.64 ( (((((((!!) @ (^[Y0 : a]: 32.02/4.64 (((!!) @ (^[Y1 : a]: 32.02/4.64 ((('#sk1' @ Y0 @ Y1) => (X2 @ Y0 @ Y1))))))))) & 32.02/4.64 (((!!) @ (^[Y0 : a]: 32.02/4.64 (((!!) @ (^[Y1 : a]: 32.02/4.64 (((!!) @ (^[Y2 : a]: 32.02/4.64 (((((X2 @ Y0 @ Y1) & (X2 @ 32.02/4.64 Y1 @ Y2))) => 32.02/4.64 (X2 @ Y0 @ Y2)))))))))))))) => 32.02/4.64 (X2 @ '#sk6' @ '#sk7'))) 32.02/4.64 | ~ ('#form29'))), 32.02/4.64 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl47])). 32.02/4.64 thf(zip_derived_cl59, plain, 32.02/4.64 (![X2 : a > a > $o]: 32.02/4.64 (~ (((((!!) @ (^[Y0 : a]: 32.02/4.64 (((!!) @ (^[Y1 : a]: 32.02/4.64 ((('#sk1' @ Y0 @ Y1) => (X2 @ Y0 @ Y1))))))))) & 32.02/4.64 (((!!) @ (^[Y0 : a]: 32.02/4.64 (((!!) @ (^[Y1 : a]: 32.02/4.64 (((!!) @ (^[Y2 : a]: 32.02/4.64 (((((X2 @ Y0 @ Y1) & (X2 @ 32.02/4.64 Y1 @ Y2))) => 32.02/4.64 (X2 @ Y0 @ Y2)))))))))))))) 32.02/4.64 | (X2 @ '#sk6' @ '#sk7') 32.02/4.64 | ~ ('#form29'))), 32.02/4.64 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl48])). 32.02/4.64 thf(zip_derived_cl66, plain, 32.02/4.64 (![X2 : a > a > $o]: 32.02/4.64 (~ (((!!) @ (^[Y0 : a]: 32.02/4.64 (((!!) @ (^[Y1 : a]: 32.02/4.64 ((('#sk1' @ Y0 @ Y1) => (X2 @ Y0 @ Y1))))))))) 32.02/4.64 | ~ (((!!) @ (^[Y0 : a]: 32.02/4.64 (((!!) @ (^[Y1 : a]: 32.02/4.64 (((!!) @ (^[Y2 : a]: 32.02/4.64 (((((X2 @ Y0 @ Y1) & (X2 @ 32.02/4.64 Y1 @ Y2))) => 32.02/4.64 (X2 @ Y0 @ Y2)))))))))))) 32.02/4.64 | ~ ('#form29') 32.02/4.64 | (X2 @ '#sk6' @ '#sk7'))), 32.02/4.64 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl59])). 32.02/4.64 thf(zip_derived_cl66, plain, 32.02/4.64 (![X2 : a > a > $o]: 32.02/4.64 (~ (((!!) @ (^[Y0 : a]: 32.02/4.64 (((!!) @ (^[Y1 : a]: 32.02/4.64 ((('#sk1' @ Y0 @ Y1) => (X2 @ Y0 @ Y1))))))))) 32.02/4.64 | ~ (((!!) @ (^[Y0 : a]: 32.02/4.64 (((!!) @ (^[Y1 : a]: 32.02/4.64 (((!!) @ (^[Y2 : a]: 32.02/4.64 (((((X2 @ Y0 @ Y1) & (X2 @ 32.02/4.64 Y1 @ Y2))) => 32.02/4.64 (X2 @ Y0 @ Y2)))))))))))) 32.02/4.64 | ~ ('#form29') 32.02/4.64 | (X2 @ '#sk6' @ '#sk7'))), 32.02/4.64 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl59])). 32.02/4.64 thf(zip_derived_cl77, plain, 32.02/4.64 (![X2 : a > a > $o]: 32.02/4.64 ( ('#form105' @ X2) 32.02/4.64 | ~ (((!!) @ (^[Y0 : a]: 32.02/4.64 (((!!) @ (^[Y1 : a]: 32.02/4.64 (((!!) @ (^[Y2 : a]: 32.02/4.64 (((((X2 @ Y0 @ Y1) & (X2 @ 32.02/4.64 Y1 @ Y2))) => 32.02/4.64 (X2 @ Y0 @ Y2)))))))))))))), 32.02/4.64 define([status(thm)])). 32.02/4.64 thf(zip_derived_cl79, plain, 32.02/4.64 (![X2 : a > a > $o]: 32.02/4.64 (~ ('#form105' @ X2) 32.02/4.64 | (X2 @ '#sk6' @ '#sk7') 32.02/4.64 | ~ ('#form29') 32.02/4.64 | ~ (((!!) @ (^[Y0 : a]: 32.02/4.64 (((!!) @ (^[Y1 : a]: 32.02/4.64 ((('#sk1' @ Y0 @ Y1) => (X2 @ Y0 @ Y1))))))))))), 32.02/4.64 inference('renaming', [status(thm)], [zip_derived_cl66, zip_derived_cl77])). 32.02/4.64 thf(zip_derived_cl98, plain, 32.02/4.64 (![X2 : a > a > $o]: 32.02/4.64 (~ (((!!) @ (^[Y0 : a]: 32.02/4.64 ((('#sk1' @ ('#sk132' @ X2) @ Y0) => (X2 @ 32.02/4.64 ('#sk132' @ X2) @ Y0)))))) 32.02/4.64 | ~ ('#form29') 32.02/4.64 | (X2 @ '#sk6' @ '#sk7') 32.02/4.64 | ~ ('#form105' @ X2))), 32.02/4.64 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl79])). 32.02/4.64 thf(zip_derived_cl110, plain, 32.02/4.64 (![X2 : a > a > $o]: 32.02/4.64 (~ ((('#sk1' @ ('#sk132' @ X2) @ ('#sk195' @ X2)) => (X2 @ 32.02/4.64 ('#sk132' @ X2) @ ('#sk195' @ X2)))) 32.02/4.64 | ~ ('#form105' @ X2) 32.02/4.64 | (X2 @ '#sk6' @ '#sk7') 32.02/4.64 | ~ ('#form29'))), 32.02/4.64 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl98])). 32.02/4.64 thf(zip_derived_cl122, plain, 32.02/4.64 (![X2 : a > a > $o]: 32.02/4.64 ( ('#sk1' @ ('#sk132' @ X2) @ ('#sk195' @ X2)) 32.02/4.64 | ~ ('#form29') 32.02/4.64 | (X2 @ '#sk6' @ '#sk7') 32.02/4.64 | ~ ('#form105' @ X2))), 32.02/4.64 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl110])). 32.02/4.64 thf(zip_derived_cl19, plain, 32.02/4.64 ((~ (((!!) @ (^[Y0 : a > a > $o]: 32.02/4.64 (((((((!!) @ (^[Y1 : a]: 32.02/4.64 (((!!) @ (^[Y2 : a]: 32.02/4.64 ((((('#sk1' @ Y1 @ Y2) | 32.02/4.64 ('#sk2' @ Y1 @ Y2))) => 32.02/4.64 (Y0 @ Y1 @ Y2))))))))) & 32.02/4.64 (((!!) @ (^[Y1 : a]: 32.02/4.64 (((!!) @ (^[Y2 : a]: 32.02/4.64 (((!!) @ (^[Y3 : a]: 32.02/4.64 (((((Y0 @ Y1 @ 32.02/4.64 Y2) & (Y0 @ 32.02/4.64 Y2 @ Y3))) => 32.02/4.64 (Y0 @ Y1 @ Y3)))))))))))))) => 32.02/4.64 (Y0 @ '#sk6' @ '#sk7')))))) 32.02/4.64 | (((!!) @ (^[Y0 : a > a > $o]: 32.02/4.64 (((((((!!) @ (^[Y1 : a]: 32.02/4.64 (((!!) @ (^[Y2 : a]: 32.02/4.64 ((((('#sk2' @ Y1 @ Y2) | 32.02/4.64 ('#sk1' @ Y1 @ Y2))) => 32.02/4.64 (Y0 @ Y1 @ Y2))))))))) & 32.02/4.64 (((!!) @ (^[Y1 : a]: 32.02/4.64 (((!!) @ (^[Y2 : a]: 32.02/4.64 (((!!) @ (^[Y3 : a]: 32.02/4.64 (((((Y0 @ Y1 @ 32.02/4.64 Y2) & (Y0 @ 32.02/4.64 Y2 @ Y3))) => 32.02/4.64 (Y0 @ Y1 @ Y3)))))))))))))) => 32.02/4.64 (Y0 @ '#sk3' @ '#sk4')))))) 32.02/4.64 | ~ (((!!) @ (^[Y0 : a]: 32.02/4.64 (((!!) @ (^[Y1 : a]: 32.02/4.64 (((!!) @ (^[Y2 : a]: 32.02/4.64 (((((((!!) @ (^[Y3 : a > a > $o]: 32.02/4.64 (((((((!!) @ ( 32.02/4.64 ^[Y4 : a]: 32.02/4.64 (( 32.02/4.64 (!!) @ ( 32.02/4.64 ^[Y5 : a]: 32.02/4.64 (( 32.02/4.64 (!!) @ ( 32.02/4.64 ^[Y6 : a]: 32.02/4.64 (( 32.02/4.64 (( 32.02/4.64 (Y3 @ 32.02/4.64 Y4 @ 32.02/4.64 Y5) & 32.02/4.64 (Y3 @ 32.02/4.64 Y5 @ Y6))) => 32.02/4.64 (Y3 @ 32.02/4.64 Y4 @ Y6)))))))))))) & 32.02/4.64 (((!!) @ ( 32.02/4.64 ^[Y4 : a]: 32.02/4.64 (( 32.02/4.64 (!!) @ ( 32.02/4.64 ^[Y5 : a]: 32.02/4.64 (( 32.02/4.64 (( 32.02/4.64 ('#sk2' @ 32.02/4.64 Y4 @ 32.02/4.64 Y5) | 32.02/4.64 ('#sk1' @ 32.02/4.64 Y4 @ Y5))) => 32.02/4.64 (Y3 @ 32.02/4.64 Y4 @ Y5))))))))))) => 32.02/4.64 (Y3 @ Y0 @ 32.02/4.64 Y1)))))) & 32.02/4.64 (((!!) @ (^[Y3 : a > a > $o]: 32.02/4.64 (((((((!!) @ ( 32.02/4.64 ^[Y4 : a]: 32.02/4.64 (( 32.02/4.64 (!!) @ ( 32.02/4.64 ^[Y5 : a]: 32.02/4.64 (( 32.02/4.64 (( 32.02/4.64 ('#sk2' @ 32.02/4.64 Y4 @ 32.02/4.64 Y5) | 32.02/4.64 ('#sk1' @ 32.02/4.64 Y4 @ Y5))) => 32.02/4.64 (Y3 @ 32.02/4.64 Y4 @ Y5))))))))) & 32.02/4.64 (((!!) @ ( 32.02/4.64 ^[Y4 : a]: 32.02/4.64 (( 32.02/4.64 (!!) @ ( 32.02/4.64 ^[Y5 : a]: 32.02/4.64 (( 32.02/4.64 (!!) @ ( 32.02/4.64 ^[Y6 : a]: 32.02/4.64 (( 32.02/4.64 (( 32.02/4.64 (Y3 @ 32.02/4.64 Y4 @ 32.02/4.64 Y5) & 32.02/4.64 (Y3 @ 32.02/4.64 Y5 @ Y6))) => 32.02/4.64 (Y3 @ 32.02/4.64 Y4 @ Y6)))))))))))))) => 32.02/4.64 (Y3 @ Y1 @ 32.02/4.64 Y2)))))))) => 32.02/4.64 (((!!) @ (^[Y3 : a > a > $o]: 32.02/4.64 (((((((!!) @ ( 32.02/4.64 ^[Y4 : a]: 32.02/4.64 ( 32.02/4.64 ( 32.02/4.64 (!!) @ ( 32.02/4.64 ^[Y5 : a]: 32.02/4.64 (( 32.02/4.64 (( 32.02/4.64 ('#sk2' @ 32.02/4.64 Y4 @ 32.02/4.64 Y5) | 32.02/4.64 ('#sk1' @ 32.02/4.64 Y4 @ Y5))) => 32.02/4.64 (Y3 @ 32.02/4.64 Y4 @ Y5))))))))) & 32.02/4.64 (((!!) @ ( 32.02/4.64 ^[Y4 : a]: 32.02/4.64 ( 32.02/4.64 ( 32.02/4.64 (!!) @ ( 32.02/4.64 ^[Y5 : a]: 32.02/4.64 (( 32.02/4.64 (!!) @ ( 32.02/4.64 ^[Y6 : a]: 32.02/4.64 (( 32.02/4.64 (( 32.02/4.64 (Y3 @ 32.02/4.64 Y4 @ 32.02/4.64 Y5) & 32.02/4.64 (Y3 @ 32.02/4.64 Y5 @ Y6))) => 32.02/4.64 (Y3 @ 32.02/4.64 Y4 @ Y6)))))))))))))) => 32.02/4.64 (Y3 @ Y0 @ Y2))))))))))))))))))), 32.02/4.64 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl15])). 32.02/4.64 thf(zip_derived_cl23, plain, 32.02/4.64 ((~ (((((((!!) @ (^[Y0 : a]: 32.02/4.64 (((!!) @ (^[Y1 : a]: 32.02/4.64 ((((('#sk1' @ Y0 @ Y1) | ('#sk2' @ Y0 @ 32.02/4.64 Y1))) => 32.02/4.64 ('#sk8' @ Y0 @ Y1))))))))) & 32.02/4.64 (((!!) @ (^[Y0 : a]: 32.02/4.64 (((!!) @ (^[Y1 : a]: 32.02/4.64 (((!!) @ (^[Y2 : a]: 32.02/4.64 ((((('#sk8' @ Y0 @ Y1) & 32.02/4.64 ('#sk8' @ Y1 @ Y2))) => 32.02/4.64 ('#sk8' @ Y0 @ Y2)))))))))))))) => 32.02/4.64 ('#sk8' @ '#sk6' @ '#sk7'))) 32.02/4.64 | ~ (((!!) @ (^[Y0 : a]: 32.02/4.64 (((!!) @ (^[Y1 : a]: 32.02/4.64 (((!!) @ (^[Y2 : a]: 32.02/4.64 (((((((!!) @ (^[Y3 : a > a > $o]: 32.02/4.64 (((((((!!) @ ( 32.02/4.64 ^[Y4 : a]: 32.02/4.64 (( 32.02/4.64 (!!) @ ( 32.02/4.64 ^[Y5 : a]: 32.02/4.64 (( 32.02/4.64 (!!) @ ( 32.02/4.64 ^[Y6 : a]: 32.02/4.64 (( 32.02/4.64 (( 32.02/4.64 (Y3 @ 32.02/4.64 Y4 @ 32.02/4.64 Y5) & 32.02/4.64 (Y3 @ 32.02/4.64 Y5 @ Y6))) => 32.02/4.64 (Y3 @ 32.02/4.64 Y4 @ Y6)))))))))))) & 32.02/4.64 (((!!) @ ( 32.02/4.64 ^[Y4 : a]: 32.02/4.64 (( 32.02/4.64 (!!) @ ( 32.02/4.64 ^[Y5 : a]: 32.02/4.64 (( 32.02/4.64 (( 32.02/4.64 ('#sk2' @ 32.02/4.64 Y4 @ 32.02/4.64 Y5) | 32.02/4.64 ('#sk1' @ 32.02/4.64 Y4 @ Y5))) => 32.02/4.64 (Y3 @ 32.02/4.64 Y4 @ Y5))))))))))) => 32.02/4.64 (Y3 @ Y0 @ 32.02/4.64 Y1)))))) & 32.02/4.64 (((!!) @ (^[Y3 : a > a > $o]: 32.02/4.64 (((((((!!) @ ( 32.02/4.64 ^[Y4 : a]: 32.02/4.64 (( 32.02/4.64 (!!) @ ( 32.02/4.64 ^[Y5 : a]: 32.02/4.64 (( 32.02/4.64 (( 32.02/4.64 ('#sk2' @ 32.02/4.64 Y4 @ 32.02/4.64 Y5) | 32.02/4.64 ('#sk1' @ 32.02/4.64 Y4 @ Y5))) => 32.02/4.64 (Y3 @ 32.02/4.64 Y4 @ Y5))))))))) & 32.02/4.64 (((!!) @ ( 32.02/4.64 ^[Y4 : a]: 32.02/4.64 (( 32.02/4.64 (!!) @ ( 32.02/4.64 ^[Y5 : a]: 32.02/4.64 (( 32.02/4.64 (!!) @ ( 32.02/4.64 ^[Y6 : a]: 32.02/4.64 (( 32.02/4.64 (( 32.02/4.64 (Y3 @ 32.02/4.64 Y4 @ 32.02/4.64 Y5) & 32.02/4.64 (Y3 @ 32.02/4.64 Y5 @ Y6))) => 32.02/4.64 (Y3 @ 32.02/4.64 Y4 @ Y6)))))))))))))) => 32.02/4.64 (Y3 @ Y1 @ 32.02/4.64 Y2)))))))) => 32.02/4.64 (((!!) @ (^[Y3 : a > a > $o]: 32.02/4.64 (((((((!!) @ ( 32.02/4.64 ^[Y4 : a]: 32.02/4.64 ( 32.02/4.64 ( 32.02/4.64 (!!) @ ( 32.02/4.64 ^[Y5 : a]: 32.02/4.64 (( 32.02/4.64 (( 32.02/4.64 ('#sk2' @ 32.02/4.64 Y4 @ 32.02/4.64 Y5) | 32.02/4.64 ('#sk1' @ 32.02/4.64 Y4 @ Y5))) => 32.02/4.64 (Y3 @ 32.02/4.64 Y4 @ Y5))))))))) & 32.02/4.64 (((!!) @ ( 32.02/4.64 ^[Y4 : a]: 32.02/4.64 ( 32.02/4.64 ( 32.02/4.64 (!!) @ ( 32.02/4.64 ^[Y5 : a]: 32.02/4.64 (( 32.02/4.64 (!!) @ ( 32.02/4.64 ^[Y6 : a]: 32.02/4.64 (( 32.02/4.64 (( 32.02/4.64 (Y3 @ 32.02/4.64 Y4 @ 32.02/4.64 Y5) & 32.02/4.64 (Y3 @ 32.02/4.64 Y5 @ Y6))) => 32.02/4.64 (Y3 @ 32.02/4.64 Y4 @ Y6)))))))))))))) => 32.02/4.64 (Y3 @ Y0 @ Y2))))))))))))))))) 32.02/4.64 | (((!!) @ (^[Y0 : a > a > $o]: 32.02/4.64 (((((((!!) @ (^[Y1 : a]: 32.02/4.64 (((!!) @ (^[Y2 : a]: 32.02/4.64 ((((('#sk2' @ Y1 @ Y2) | 32.02/4.64 ('#sk1' @ Y1 @ Y2))) => 32.02/4.64 (Y0 @ Y1 @ Y2))))))))) & 32.02/4.64 (((!!) @ (^[Y1 : a]: 32.02/4.64 (((!!) @ (^[Y2 : a]: 32.02/4.64 (((!!) @ (^[Y3 : a]: 32.02/4.64 (((((Y0 @ Y1 @ 32.02/4.64 Y2) & (Y0 @ 32.02/4.64 Y2 @ Y3))) => 32.02/4.64 (Y0 @ Y1 @ Y3)))))))))))))) => 32.02/4.64 (Y0 @ '#sk3' @ '#sk4')))))))), 32.02/4.64 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl19])). 32.02/4.64 thf(zip_derived_cl23, plain, 32.02/4.64 ((~ (((((((!!) @ (^[Y0 : a]: 32.02/4.64 (((!!) @ (^[Y1 : a]: 32.02/4.64 ((((('#sk1' @ Y0 @ Y1) | ('#sk2' @ Y0 @ 32.02/4.64 Y1))) => 32.02/4.64 ('#sk8' @ Y0 @ Y1))))))))) & 32.02/4.64 (((!!) @ (^[Y0 : a]: 32.02/4.64 (((!!) @ (^[Y1 : a]: 32.02/4.64 (((!!) @ (^[Y2 : a]: 32.02/4.64 ((((('#sk8' @ Y0 @ Y1) & 32.02/4.64 ('#sk8' @ Y1 @ Y2))) => 32.02/4.64 ('#sk8' @ Y0 @ Y2)))))))))))))) => 32.02/4.64 ('#sk8' @ '#sk6' @ '#sk7'))) 32.02/4.64 | ~ (((!!) @ (^[Y0 : a]: 32.02/4.64 (((!!) @ (^[Y1 : a]: 32.02/4.64 (((!!) @ (^[Y2 : a]: 32.02/4.64 (((((((!!) @ (^[Y3 : a > a > $o]: 32.02/4.64 (((((((!!) @ ( 32.02/4.64 ^[Y4 : a]: 32.02/4.64 (( 32.02/4.64 (!!) @ ( 32.02/4.64 ^[Y5 : a]: 32.02/4.64 (( 32.02/4.64 (!!) @ ( 32.02/4.64 ^[Y6 : a]: 32.02/4.64 (( 32.02/4.64 (( 32.02/4.64 (Y3 @ 32.02/4.64 Y4 @ 32.02/4.64 Y5) & 32.02/4.64 (Y3 @ 32.02/4.64 Y5 @ Y6))) => 32.02/4.64 (Y3 @ 32.02/4.64 Y4 @ Y6)))))))))))) & 32.02/4.64 (((!!) @ ( 32.02/4.64 ^[Y4 : a]: 32.02/4.64 (( 32.02/4.64 (!!) @ ( 32.02/4.64 ^[Y5 : a]: 32.02/4.64 (( 32.02/4.64 (( 32.02/4.64 ('#sk2' @ 32.02/4.64 Y4 @ 32.02/4.64 Y5) | 32.02/4.64 ('#sk1' @ 32.02/4.64 Y4 @ Y5))) => 32.02/4.64 (Y3 @ 32.02/4.64 Y4 @ Y5))))))))))) => 32.02/4.64 (Y3 @ Y0 @ 32.02/4.64 Y1)))))) & 32.02/4.64 (((!!) @ (^[Y3 : a > a > $o]: 32.02/4.64 (((((((!!) @ ( 32.02/4.64 ^[Y4 : a]: 32.02/4.64 (( 32.02/4.64 (!!) @ ( 32.02/4.64 ^[Y5 : a]: 32.02/4.64 (( 32.02/4.64 (( 32.02/4.64 ('#sk2' @ 32.02/4.64 Y4 @ 32.02/4.64 Y5) | 32.02/4.64 ('#sk1' @ 32.02/4.64 Y4 @ Y5))) => 32.02/4.64 (Y3 @ 32.02/4.64 Y4 @ Y5))))))))) & 32.02/4.64 (((!!) @ ( 32.02/4.64 ^[Y4 : a]: 32.02/4.64 (( 32.02/4.64 (!!) @ ( 32.02/4.64 ^[Y5 : a]: 32.02/4.64 (( 32.02/4.64 (!!) @ ( 32.02/4.64 ^[Y6 : a]: 32.02/4.64 (( 32.02/4.64 (( 32.02/4.64 (Y3 @ 32.02/4.64 Y4 @ 32.02/4.64 Y5) & 32.02/4.64 (Y3 @ 32.02/4.64 Y5 @ Y6))) => 32.02/4.64 (Y3 @ 32.02/4.64 Y4 @ Y6)))))))))))))) => 32.02/4.64 (Y3 @ Y1 @ 32.02/4.64 Y2)))))))) => 32.02/4.64 (((!!) @ (^[Y3 : a > a > $o]: 32.02/4.64 (((((((!!) @ ( 32.02/4.64 ^[Y4 : a]: 32.02/4.64 ( 32.02/4.64 ( 32.02/4.64 (!!) @ ( 32.02/4.64 ^[Y5 : a]: 32.02/4.64 (( 32.02/4.64 (( 32.02/4.64 ('#sk2' @ 32.02/4.64 Y4 @ 32.02/4.64 Y5) | 32.02/4.64 ('#sk1' @ 32.02/4.64 Y4 @ Y5))) => 32.02/4.64 (Y3 @ 32.02/4.64 Y4 @ Y5))))))))) & 32.02/4.64 (((!!) @ ( 32.02/4.64 ^[Y4 : a]: 32.02/4.64 ( 32.02/4.64 ( 32.02/4.64 (!!) @ ( 32.02/4.64 ^[Y5 : a]: 32.02/4.64 (( 32.02/4.64 (!!) @ ( 32.02/4.64 ^[Y6 : a]: 32.02/4.64 (( 32.02/4.64 (( 32.02/4.64 (Y3 @ 32.02/4.64 Y4 @ 32.02/4.64 Y5) & 32.02/4.64 (Y3 @ 32.02/4.64 Y5 @ Y6))) => 32.02/4.64 (Y3 @ 32.02/4.64 Y4 @ Y6)))))))))))))) => 32.02/4.64 (Y3 @ Y0 @ Y2))))))))))))))))) 32.02/4.64 | (((!!) @ (^[Y0 : a > a > $o]: 32.02/4.64 (((((((!!) @ (^[Y1 : a]: 32.02/4.64 (((!!) @ (^[Y2 : a]: 32.02/4.64 ((((('#sk2' @ Y1 @ Y2) | 32.02/4.64 ('#sk1' @ Y1 @ Y2))) => 32.02/4.64 (Y0 @ Y1 @ Y2))))))))) & 32.02/4.64 (((!!) @ (^[Y1 : a]: 32.02/4.64 (((!!) @ (^[Y2 : a]: 32.02/4.64 (((!!) @ (^[Y3 : a]: 32.02/4.64 (((((Y0 @ Y1 @ 32.02/4.64 Y2) & (Y0 @ 32.02/4.64 Y2 @ Y3))) => 32.02/4.64 (Y0 @ Y1 @ Y3)))))))))))))) => 32.02/4.64 (Y0 @ '#sk3' @ '#sk4')))))))), 32.02/4.64 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl19])). 32.02/4.64 thf(zip_derived_cl31, plain, 32.02/4.64 (( ('#form9') 32.02/4.64 | ~ (((!!) @ (^[Y0 : a]: 32.02/4.64 (((!!) @ (^[Y1 : a]: 32.02/4.64 (((!!) @ (^[Y2 : a]: 32.02/4.64 (((((((!!) @ (^[Y3 : a > a > $o]: 32.02/4.64 (((((((!!) @ ( 32.02/4.64 ^[Y4 : a]: 32.02/4.64 (( 32.02/4.64 (!!) @ ( 32.02/4.64 ^[Y5 : a]: 32.02/4.64 (( 32.02/4.64 (!!) @ ( 32.02/4.64 ^[Y6 : a]: 32.02/4.64 (( 32.02/4.64 (( 32.02/4.64 (Y3 @ 32.02/4.64 Y4 @ 32.02/4.64 Y5) & 32.02/4.64 (Y3 @ 32.02/4.64 Y5 @ Y6))) => 32.02/4.64 (Y3 @ 32.02/4.64 Y4 @ Y6)))))))))))) & 32.02/4.64 (((!!) @ ( 32.02/4.64 ^[Y4 : a]: 32.02/4.64 (( 32.02/4.64 (!!) @ ( 32.02/4.64 ^[Y5 : a]: 32.02/4.64 (( 32.02/4.64 (( 32.02/4.64 ('#sk2' @ 32.02/4.64 Y4 @ 32.02/4.64 Y5) | 32.02/4.64 ('#sk1' @ 32.02/4.64 Y4 @ Y5))) => 32.02/4.64 (Y3 @ 32.02/4.64 Y4 @ Y5))))))))))) => 32.02/4.64 (Y3 @ Y0 @ 32.02/4.64 Y1)))))) & 32.02/4.64 (((!!) @ (^[Y3 : a > a > $o]: 32.02/4.64 (((((((!!) @ ( 32.02/4.64 ^[Y4 : a]: 32.02/4.64 (( 32.02/4.64 (!!) @ ( 32.02/4.64 ^[Y5 : a]: 32.02/4.64 (( 32.02/4.64 (( 32.02/4.64 ('#sk2' @ 32.02/4.64 Y4 @ 32.02/4.64 Y5) | 32.02/4.64 ('#sk1' @ 32.02/4.64 Y4 @ Y5))) => 32.02/4.64 (Y3 @ 32.02/4.64 Y4 @ Y5))))))))) & 32.02/4.64 (((!!) @ ( 32.02/4.64 ^[Y4 : a]: 32.02/4.64 (( 32.02/4.64 (!!) @ ( 32.02/4.64 ^[Y5 : a]: 32.02/4.64 (( 32.02/4.64 (!!) @ ( 32.02/4.64 ^[Y6 : a]: 32.02/4.64 (( 32.02/4.64 (( 32.02/4.64 (Y3 @ 32.02/4.64 Y4 @ 32.02/4.64 Y5) & 32.02/4.64 (Y3 @ 32.02/4.64 Y5 @ Y6))) => 32.02/4.64 (Y3 @ 32.02/4.64 Y4 @ Y6)))))))))))))) => 32.02/4.64 (Y3 @ Y1 @ 32.02/4.64 Y2)))))))) => 32.02/4.64 (((!!) @ (^[Y3 : a > a > $o]: 32.02/4.64 (((((((!!) @ ( 32.02/4.64 ^[Y4 : a]: 32.02/4.64 ( 32.02/4.64 ( 32.02/4.64 (!!) @ ( 32.02/4.64 ^[Y5 : a]: 32.02/4.64 (( 32.02/4.64 (( 32.02/4.64 ('#sk2' @ 32.02/4.64 Y4 @ 32.02/4.64 Y5) | 32.02/4.64 ('#sk1' @ 32.02/4.64 Y4 @ Y5))) => 32.02/4.64 (Y3 @ 32.02/4.64 Y4 @ Y5))))))))) & 32.02/4.64 (((!!) @ ( 32.02/4.64 ^[Y4 : a]: 32.02/4.64 ( 32.02/4.64 ( 32.02/4.64 (!!) @ ( 32.02/4.64 ^[Y5 : a]: 32.02/4.64 (( 32.02/4.64 (!!) @ ( 32.02/4.64 ^[Y6 : a]: 32.02/4.64 (( 32.02/4.64 (( 32.02/4.64 (Y3 @ 32.02/4.64 Y4 @ 32.02/4.64 Y5) & 32.02/4.64 (Y3 @ 32.02/4.64 Y5 @ Y6))) => 32.02/4.64 (Y3 @ 32.02/4.64 Y4 @ Y6)))))))))))))) => 32.02/4.64 (Y3 @ Y0 @ Y2))))))))))))))))))), 32.02/4.64 define([status(thm)])). 32.02/4.64 thf(zip_derived_cl33, plain, 32.02/4.64 ((~ ('#form9') 32.02/4.64 | (((!!) @ (^[Y0 : a > a > $o]: 32.02/4.64 (((((((!!) @ (^[Y1 : a]: 32.02/4.64 (((!!) @ (^[Y2 : a]: 32.02/4.64 ((((('#sk2' @ Y1 @ Y2) | 32.02/4.64 ('#sk1' @ Y1 @ Y2))) => 32.02/4.64 (Y0 @ Y1 @ Y2))))))))) & 32.02/4.64 (((!!) @ (^[Y1 : a]: 32.02/4.64 (((!!) @ (^[Y2 : a]: 32.02/4.64 (((!!) @ (^[Y3 : a]: 32.02/4.64 (((((Y0 @ Y1 @ 32.02/4.64 Y2) & (Y0 @ 32.02/4.64 Y2 @ Y3))) => 32.02/4.64 (Y0 @ Y1 @ Y3)))))))))))))) => 32.02/4.64 (Y0 @ '#sk3' @ '#sk4')))))) 32.02/4.64 | ~ (((((((!!) @ (^[Y0 : a]: 32.02/4.64 (((!!) @ (^[Y1 : a]: 32.02/4.64 ((((('#sk1' @ Y0 @ Y1) | ('#sk2' @ 32.02/4.64 Y0 @ Y1))) => 32.02/4.64 ('#sk8' @ Y0 @ Y1))))))))) & 32.02/4.64 (((!!) @ (^[Y0 : a]: 32.02/4.64 (((!!) @ (^[Y1 : a]: 32.02/4.64 (((!!) @ (^[Y2 : a]: 32.02/4.64 ((((('#sk8' @ Y0 @ Y1) & 32.02/4.64 ('#sk8' @ Y1 @ Y2))) => 32.02/4.64 ('#sk8' @ Y0 @ Y2)))))))))))))) => 32.02/4.64 ('#sk8' @ '#sk6' @ '#sk7'))))), 32.02/4.64 inference('renaming', [status(thm)], [zip_derived_cl23, zip_derived_cl31])). 32.02/4.64 thf(zip_derived_cl37, plain, 32.02/4.64 ((~ ('#form19') 32.02/4.64 | (((!!) @ (^[Y0 : a > a > $o]: 32.02/4.64 (((((((!!) @ (^[Y1 : a]: 32.02/4.64 (((!!) @ (^[Y2 : a]: 32.02/4.64 ((((('#sk2' @ Y1 @ Y2) | 32.02/4.64 ('#sk1' @ Y1 @ Y2))) => 32.02/4.64 (Y0 @ Y1 @ Y2))))))))) & 32.02/4.64 (((!!) @ (^[Y1 : a]: 32.02/4.64 (((!!) @ (^[Y2 : a]: 32.02/4.64 (((!!) @ (^[Y3 : a]: 32.02/4.64 (((((Y0 @ Y1 @ 32.02/4.64 Y2) & (Y0 @ 32.02/4.64 Y2 @ Y3))) => 32.02/4.64 (Y0 @ Y1 @ Y3)))))))))))))) => 32.02/4.64 (Y0 @ '#sk3' @ '#sk4')))))))), 32.02/4.64 define([status(thm)])). 32.02/4.64 thf(zip_derived_cl44, plain, 32.02/4.64 (( ('#form19') 32.02/4.64 | ~ (((((((!!) @ (^[Y0 : a]: 32.02/4.64 (((!!) @ (^[Y1 : a]: 32.02/4.64 ((((('#sk1' @ Y0 @ Y1) | ('#sk2' @ 32.02/4.64 Y0 @ Y1))) => 32.02/4.64 ('#sk8' @ Y0 @ Y1))))))))) & 32.02/4.64 (((!!) @ (^[Y0 : a]: 32.02/4.64 (((!!) @ (^[Y1 : a]: 32.02/4.64 (((!!) @ (^[Y2 : a]: 32.02/4.64 ((((('#sk8' @ Y0 @ Y1) & 32.02/4.64 ('#sk8' @ Y1 @ Y2))) => 32.02/4.64 ('#sk8' @ Y0 @ Y2)))))))))))))) => 32.02/4.64 ('#sk8' @ '#sk6' @ '#sk7'))) 32.02/4.64 | ~ ('#form9'))), 32.02/4.64 inference('renaming', [status(thm)], [zip_derived_cl33, zip_derived_cl37])). 32.02/4.64 thf(zip_derived_cl56, plain, 32.02/4.64 ((~ ('#sk8' @ '#sk6' @ '#sk7') | ~ ('#form9') | ('#form19'))), 32.02/4.64 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl44])). 32.02/4.64 thf(zip_derived_cl123, plain, 32.02/4.64 (![X2 : a > a > $o]: 32.02/4.64 (~ (X2 @ ('#sk132' @ X2) @ ('#sk195' @ X2)) 32.02/4.64 | ~ ('#form29') 32.02/4.64 | (X2 @ '#sk6' @ '#sk7') 32.02/4.64 | ~ ('#form105' @ X2))), 32.02/4.64 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl110])). 32.02/4.64 thf(zip_derived_cl26, plain, 32.02/4.64 (![X2 : a > a > $o]: 32.02/4.64 ( (((((((!!) @ (^[Y0 : a]: 32.02/4.64 (((!!) @ (^[Y1 : a]: 32.02/4.64 (((!!) @ (^[Y2 : a]: 32.02/4.64 (((((X2 @ Y0 @ Y1) & (X2 @ 32.02/4.64 Y1 @ Y2))) => 32.02/4.64 (X2 @ Y0 @ Y2)))))))))))) & 32.02/4.64 (((!!) @ (^[Y0 : a]: 32.02/4.64 (((!!) @ (^[Y1 : a]: 32.02/4.64 ((('#sk2' @ Y0 @ Y1) => (X2 @ Y0 @ Y1))))))))))) => 32.02/4.64 (X2 @ '#sk6' @ '#sk7'))) 32.02/4.64 | (((!!) @ (^[Y0 : a > a > $o]: 32.02/4.64 (((((((!!) @ (^[Y1 : a]: 32.02/4.64 (((!!) @ (^[Y2 : a]: 32.02/4.64 ((((('#sk2' @ Y1 @ Y2) | 32.02/4.64 ('#sk1' @ Y1 @ Y2))) => 32.02/4.64 (Y0 @ Y1 @ Y2))))))))) & 32.02/4.64 (((!!) @ (^[Y1 : a]: 32.02/4.64 (((!!) @ (^[Y2 : a]: 32.02/4.64 (((!!) @ (^[Y3 : a]: 32.02/4.64 (((((Y0 @ 32.02/4.64 Y1 @ Y2) & 32.02/4.64 (Y0 @ 32.02/4.64 Y2 @ Y3))) => 32.02/4.64 (Y0 @ Y1 @ 32.02/4.64 Y3)))))))))))))) => 32.02/4.64 (Y0 @ '#sk3' @ '#sk4')))))) 32.02/4.64 | ~ (((!!) @ (^[Y0 : a]: 32.02/4.64 (((!!) @ (^[Y1 : a]: 32.02/4.64 (((!!) @ (^[Y2 : a]: 32.02/4.64 (((((((!!) @ (^[Y3 : 32.02/4.64 a > a > $o]: 32.02/4.64 (((((( 32.02/4.64 (!!) @ ( 32.02/4.64 ^[Y4 : a]: 32.02/4.64 (( 32.02/4.64 (!!) @ ( 32.02/4.64 ^[Y5 : a]: 32.02/4.64 (( 32.02/4.64 (!!) @ ( 32.02/4.64 ^[Y6 : a]: 32.02/4.64 (( 32.02/4.64 (( 32.02/4.64 (Y3 @ 32.02/4.64 Y4 @ 32.02/4.64 Y5) & 32.02/4.64 (Y3 @ 32.02/4.64 Y5 @ Y6))) => 32.02/4.64 (Y3 @ 32.02/4.64 Y4 @ Y6)))))))))))) & 32.02/4.64 (( 32.02/4.64 (!!) @ ( 32.02/4.64 ^[Y4 : a]: 32.02/4.64 (( 32.02/4.64 (!!) @ ( 32.02/4.64 ^[Y5 : a]: 32.02/4.64 (( 32.02/4.64 (( 32.02/4.64 ('#sk2' @ 32.02/4.64 Y4 @ 32.02/4.64 Y5) | 32.02/4.64 ('#sk1' @ 32.02/4.64 Y4 @ Y5))) => 32.02/4.64 (Y3 @ 32.02/4.64 Y4 @ Y5))))))))))) => 32.02/4.64 (Y3 @ Y0 @ 32.02/4.64 Y1)))))) & 32.02/4.64 (((!!) @ (^[Y3 : 32.02/4.64 a > a > $o]: 32.02/4.64 (((((( 32.02/4.64 (!!) @ ( 32.02/4.64 ^[Y4 : a]: 32.02/4.64 (( 32.02/4.64 (!!) @ ( 32.02/4.64 ^[Y5 : a]: 32.02/4.64 (( 32.02/4.64 (( 32.02/4.64 ('#sk2' @ 32.02/4.64 Y4 @ 32.02/4.64 Y5) | 32.02/4.64 ('#sk1' @ 32.02/4.64 Y4 @ Y5))) => 32.02/4.64 (Y3 @ 32.02/4.64 Y4 @ Y5))))))))) & 32.02/4.64 (( 32.02/4.64 (!!) @ ( 32.02/4.64 ^[Y4 : a]: 32.02/4.64 (( 32.02/4.64 (!!) @ ( 32.02/4.64 ^[Y5 : a]: 32.02/4.64 (( 32.02/4.64 (!!) @ ( 32.02/4.64 ^[Y6 : a]: 32.02/4.64 (( 32.02/4.64 (( 32.02/4.64 (Y3 @ 32.02/4.64 Y4 @ 32.02/4.64 Y5) & 32.02/4.64 (Y3 @ 32.02/4.64 Y5 @ Y6))) => 32.02/4.64 (Y3 @ 32.02/4.64 Y4 @ Y6)))))))))))))) => 32.02/4.64 (Y3 @ Y1 @ 32.02/4.64 Y2)))))))) => 32.02/4.64 (((!!) @ (^[Y3 : a > a > $o]: 32.02/4.64 (((((((!!) @ ( 32.02/4.64 ^[Y4 : a]: 32.02/4.64 (( 32.02/4.64 (!!) @ ( 32.02/4.64 ^[Y5 : a]: 32.02/4.64 (( 32.02/4.64 (( 32.02/4.64 ('#sk2' @ 32.02/4.64 Y4 @ 32.02/4.64 Y5) | 32.02/4.64 ('#sk1' @ 32.02/4.64 Y4 @ Y5))) => 32.02/4.64 (Y3 @ 32.02/4.64 Y4 @ Y5))))))))) & 32.02/4.64 (((!!) @ ( 32.02/4.64 ^[Y4 : a]: 32.02/4.64 (( 32.02/4.64 (!!) @ ( 32.02/4.64 ^[Y5 : a]: 32.02/4.64 (( 32.02/4.64 (!!) @ ( 32.02/4.64 ^[Y6 : a]: 32.02/4.64 (( 32.02/4.64 (( 32.02/4.64 (Y3 @ 32.02/4.64 Y4 @ 32.02/4.64 Y5) & 32.02/4.64 (Y3 @ 32.02/4.64 Y5 @ Y6))) => 32.02/4.64 (Y3 @ 32.02/4.64 Y4 @ Y6)))))))))))))) => 32.02/4.64 (Y3 @ Y0 @ 32.02/4.64 Y2))))))))))))))))) 32.02/4.64 | (((!!) @ (^[Y0 : a > a > $o]: 32.02/4.64 (((((((!!) @ (^[Y1 : a]: 32.02/4.64 (((!!) @ (^[Y2 : a]: 32.02/4.64 ((('#sk1' @ Y1 @ Y2) => 32.02/4.64 (Y0 @ Y1 @ Y2))))))))) & 32.02/4.64 (((!!) @ (^[Y1 : a]: 32.02/4.64 (((!!) @ (^[Y2 : a]: 32.02/4.64 (((!!) @ (^[Y3 : a]: 32.02/4.64 (((((Y0 @ 32.02/4.64 Y1 @ Y2) & 32.02/4.64 (Y0 @ 32.02/4.64 Y2 @ Y3))) => 32.02/4.64 (Y0 @ Y1 @ 32.02/4.64 Y3)))))))))))))) => 32.02/4.64 (Y0 @ '#sk6' @ '#sk7')))))))), 32.02/4.64 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl22])). 32.02/4.64 thf(zip_derived_cl27, plain, 32.02/4.64 (( (((((((!!) @ (^[Y0 : a]: 32.02/4.64 (((!!) @ (^[Y1 : a]: 32.02/4.64 (((!!) @ (^[Y2 : a]: 32.02/4.64 ((((('#sk8' @ Y0 @ Y1) & 32.02/4.64 ('#sk8' @ Y1 @ Y2))) => 32.02/4.64 ('#sk8' @ Y0 @ Y2)))))))))))) & 32.02/4.64 (((!!) @ (^[Y0 : a]: 32.02/4.64 (((!!) @ (^[Y1 : a]: 32.02/4.64 ((('#sk2' @ Y0 @ Y1) => ('#sk8' @ Y0 @ Y1))))))))))) => 32.02/4.64 ('#sk8' @ '#sk6' @ '#sk7'))) 32.02/4.64 | (((!!) @ (^[Y0 : a > a > $o]: 32.02/4.64 (((((((!!) @ (^[Y1 : a]: 32.02/4.64 (((!!) @ (^[Y2 : a]: 32.02/4.64 ((((('#sk2' @ Y1 @ Y2) | 32.02/4.64 ('#sk1' @ Y1 @ Y2))) => 32.02/4.64 (Y0 @ Y1 @ Y2))))))))) & 32.02/4.64 (((!!) @ (^[Y1 : a]: 32.02/4.64 (((!!) @ (^[Y2 : a]: 32.02/4.64 (((!!) @ (^[Y3 : a]: 32.02/4.64 (((((Y0 @ Y1 @ 32.02/4.64 Y2) & (Y0 @ 32.02/4.64 Y2 @ Y3))) => 32.02/4.64 (Y0 @ Y1 @ Y3)))))))))))))) => 32.02/4.64 (Y0 @ '#sk3' @ '#sk4')))))) 32.02/4.64 | ~ (((!!) @ (^[Y0 : a]: 32.02/4.64 (((!!) @ (^[Y1 : a]: 32.02/4.64 (((!!) @ (^[Y2 : a]: 32.02/4.64 (((((((!!) @ (^[Y3 : a > a > $o]: 32.02/4.64 (((((((!!) @ ( 32.02/4.64 ^[Y4 : a]: 32.02/4.64 (( 32.02/4.64 (!!) @ ( 32.02/4.64 ^[Y5 : a]: 32.02/4.64 (( 32.02/4.64 (!!) @ ( 32.02/4.64 ^[Y6 : a]: 32.02/4.64 (( 32.02/4.64 (( 32.02/4.64 (Y3 @ 32.02/4.64 Y4 @ 32.02/4.64 Y5) & 32.02/4.64 (Y3 @ 32.02/4.64 Y5 @ Y6))) => 32.02/4.64 (Y3 @ 32.02/4.64 Y4 @ Y6)))))))))))) & 32.02/4.64 (((!!) @ ( 32.02/4.64 ^[Y4 : a]: 32.02/4.64 (( 32.02/4.64 (!!) @ ( 32.02/4.64 ^[Y5 : a]: 32.02/4.64 (( 32.02/4.64 (( 32.02/4.64 ('#sk2' @ 32.02/4.64 Y4 @ 32.02/4.64 Y5) | 32.02/4.64 ('#sk1' @ 32.02/4.64 Y4 @ Y5))) => 32.02/4.64 (Y3 @ 32.02/4.64 Y4 @ Y5))))))))))) => 32.02/4.64 (Y3 @ Y0 @ 32.02/4.64 Y1)))))) & 32.02/4.64 (((!!) @ (^[Y3 : a > a > $o]: 32.02/4.64 (((((((!!) @ ( 32.02/4.64 ^[Y4 : a]: 32.02/4.64 (( 32.02/4.64 (!!) @ ( 32.02/4.64 ^[Y5 : a]: 32.02/4.64 (( 32.02/4.64 (( 32.02/4.64 ('#sk2' @ 32.02/4.64 Y4 @ 32.02/4.64 Y5) | 32.02/4.64 ('#sk1' @ 32.02/4.64 Y4 @ Y5))) => 32.02/4.64 (Y3 @ 32.02/4.64 Y4 @ Y5))))))))) & 32.02/4.64 (((!!) @ ( 32.02/4.64 ^[Y4 : a]: 32.02/4.64 (( 32.02/4.64 (!!) @ ( 32.02/4.64 ^[Y5 : a]: 32.02/4.64 (( 32.02/4.64 (!!) @ ( 32.02/4.64 ^[Y6 : a]: 32.02/4.64 (( 32.02/4.64 (( 32.02/4.64 (Y3 @ 32.02/4.64 Y4 @ 32.02/4.64 Y5) & 32.02/4.64 (Y3 @ 32.02/4.64 Y5 @ Y6))) => 32.02/4.64 (Y3 @ 32.02/4.64 Y4 @ Y6)))))))))))))) => 32.02/4.64 (Y3 @ Y1 @ 32.02/4.64 Y2)))))))) => 32.02/4.64 (((!!) @ (^[Y3 : a > a > $o]: 32.02/4.64 (((((((!!) @ ( 32.02/4.64 ^[Y4 : a]: 32.02/4.64 ( 32.02/4.64 ( 32.02/4.64 (!!) @ ( 32.02/4.64 ^[Y5 : a]: 32.02/4.64 (( 32.02/4.64 (( 32.02/4.64 ('#sk2' @ 32.02/4.64 Y4 @ 32.02/4.64 Y5) | 32.02/4.64 ('#sk1' @ 32.02/4.64 Y4 @ Y5))) => 32.02/4.64 (Y3 @ 32.02/4.64 Y4 @ Y5))))))))) & 32.02/4.64 (((!!) @ ( 32.02/4.64 ^[Y4 : a]: 32.02/4.64 ( 32.02/4.64 ( 32.02/4.64 (!!) @ ( 32.02/4.64 ^[Y5 : a]: 32.02/4.64 (( 32.02/4.64 (!!) @ ( 32.02/4.64 ^[Y6 : a]: 32.02/4.64 (( 32.02/4.64 (( 32.02/4.64 (Y3 @ 32.02/4.64 Y4 @ 32.02/4.64 Y5) & 32.02/4.64 (Y3 @ 32.02/4.64 Y5 @ Y6))) => 32.02/4.64 (Y3 @ 32.02/4.64 Y4 @ Y6)))))))))))))) => 32.02/4.64 (Y3 @ Y0 @ Y2))))))))))))))))) 32.02/4.64 | (((!!) @ (^[Y0 : a > a > $o]: 32.02/4.64 (((((((!!) @ (^[Y1 : a]: 32.02/4.64 (((!!) @ (^[Y2 : a]: 32.02/4.64 ((('#sk1' @ Y1 @ Y2) => 32.02/4.64 (Y0 @ Y1 @ Y2))))))))) & 32.02/4.64 (((!!) @ (^[Y1 : a]: 32.02/4.64 (((!!) @ (^[Y2 : a]: 32.02/4.64 (((!!) @ (^[Y3 : a]: 32.02/4.64 (((((Y0 @ Y1 @ 32.02/4.64 Y2) & (Y0 @ 32.02/4.64 Y2 @ Y3))) => 32.02/4.64 (Y0 @ Y1 @ Y3)))))))))))))) => 32.02/4.64 (Y0 @ '#sk6' @ '#sk7')))))))), 32.02/4.64 inference('triggered_bool_instantiation', [status(thm)], 32.02/4.64 [zip_derived_cl26])). 32.02/4.64 thf(zip_derived_cl37, plain, 32.02/4.64 ((~ ('#form19') 32.02/4.64 | (((!!) @ (^[Y0 : a > a > $o]: 32.02/4.64 (((((((!!) @ (^[Y1 : a]: 32.02/4.64 (((!!) @ (^[Y2 : a]: 32.02/4.64 ((((('#sk2' @ Y1 @ Y2) | 32.02/4.64 ('#sk1' @ Y1 @ Y2))) => 32.02/4.64 (Y0 @ Y1 @ Y2))))))))) & 32.02/4.64 (((!!) @ (^[Y1 : a]: 32.02/4.64 (((!!) @ (^[Y2 : a]: 32.02/4.64 (((!!) @ (^[Y3 : a]: 32.02/4.64 (((((Y0 @ Y1 @ 32.02/4.64 Y2) & (Y0 @ 32.02/4.64 Y2 @ Y3))) => 32.02/4.64 (Y0 @ Y1 @ Y3)))))))))))))) => 32.02/4.64 (Y0 @ '#sk3' @ '#sk4')))))))), 32.02/4.64 define([status(thm)])). 32.02/4.64 thf(zip_derived_cl174, plain, 32.02/4.64 (( ('#form19') 32.02/4.64 | (((!!) @ (^[Y0 : a > a > $o]: 32.02/4.64 (((((((!!) @ (^[Y1 : a]: 32.02/4.64 (((!!) @ (^[Y2 : a]: 32.02/4.64 ((('#sk1' @ Y1 @ Y2) => 32.02/4.64 (Y0 @ Y1 @ Y2))))))))) & 32.02/4.64 (((!!) @ (^[Y1 : a]: 32.02/4.64 (((!!) @ (^[Y2 : a]: 32.02/4.64 (((!!) @ (^[Y3 : a]: 32.02/4.64 (((((Y0 @ Y1 @ 32.02/4.64 Y2) & (Y0 @ 32.02/4.64 Y2 @ Y3))) => 32.02/4.64 (Y0 @ Y1 @ Y3)))))))))))))) => 32.02/4.64 (Y0 @ '#sk6' @ '#sk7')))))) 32.02/4.64 | ~ (((!!) @ (^[Y0 : a]: 32.02/4.64 (((!!) @ (^[Y1 : a]: 32.02/4.64 (((!!) @ (^[Y2 : a]: 32.02/4.64 (((((((!!) @ (^[Y3 : a > a > $o]: 32.02/4.64 (((((((!!) @ ( 32.02/4.64 ^[Y4 : a]: 32.02/4.64 (( 32.02/4.64 (!!) @ ( 32.02/4.64 ^[Y5 : a]: 32.02/4.64 (( 32.02/4.64 (!!) @ ( 32.02/4.64 ^[Y6 : a]: 32.02/4.64 (( 32.02/4.64 (( 32.02/4.64 (Y3 @ 32.02/4.64 Y4 @ 32.02/4.64 Y5) & 32.02/4.64 (Y3 @ 32.02/4.64 Y5 @ Y6))) => 32.02/4.64 (Y3 @ 32.02/4.64 Y4 @ Y6)))))))))))) & 32.02/4.64 (((!!) @ ( 32.02/4.64 ^[Y4 : a]: 32.02/4.64 (( 32.02/4.64 (!!) @ ( 32.02/4.64 ^[Y5 : a]: 32.02/4.64 (( 32.02/4.64 (( 32.02/4.64 ('#sk2' @ 32.02/4.64 Y4 @ 32.02/4.64 Y5) | 32.02/4.64 ('#sk1' @ 32.02/4.64 Y4 @ Y5))) => 32.02/4.64 (Y3 @ 32.02/4.64 Y4 @ Y5))))))))))) => 32.02/4.64 (Y3 @ Y0 @ 32.02/4.64 Y1)))))) & 32.02/4.64 (((!!) @ (^[Y3 : a > a > $o]: 32.02/4.64 (((((((!!) @ ( 32.02/4.64 ^[Y4 : a]: 32.02/4.64 (( 32.02/4.64 (!!) @ ( 32.02/4.64 ^[Y5 : a]: 32.02/4.64 (( 32.02/4.64 (( 32.02/4.64 ('#sk2' @ 32.02/4.64 Y4 @ 32.02/4.64 Y5) | 32.02/4.64 ('#sk1' @ 32.02/4.64 Y4 @ Y5))) => 32.02/4.64 (Y3 @ 32.02/4.64 Y4 @ Y5))))))))) & 32.02/4.64 (((!!) @ ( 32.02/4.64 ^[Y4 : a]: 32.02/4.64 (( 32.02/4.64 (!!) @ ( 32.02/4.64 ^[Y5 : a]: 32.02/4.64 (( 32.02/4.64 (!!) @ ( 32.02/4.64 ^[Y6 : a]: 32.02/4.64 (( 32.02/4.64 (( 32.02/4.64 (Y3 @ 32.02/4.64 Y4 @ 32.02/4.64 Y5) & 32.02/4.64 (Y3 @ 32.02/4.64 Y5 @ Y6))) => 32.02/4.64 (Y3 @ 32.02/4.64 Y4 @ Y6)))))))))))))) => 32.02/4.64 (Y3 @ Y1 @ 32.02/4.64 Y2)))))))) => 32.02/4.64 (((!!) @ (^[Y3 : a > a > $o]: 32.02/4.64 (((((((!!) @ ( 32.02/4.64 ^[Y4 : a]: 32.02/4.64 ( 32.02/4.64 ( 32.02/4.64 (!!) @ ( 32.02/4.64 ^[Y5 : a]: 32.02/4.64 (( 32.02/4.64 (( 32.02/4.64 ('#sk2' @ 32.02/4.64 Y4 @ 32.02/4.64 Y5) | 32.02/4.64 ('#sk1' @ 32.02/4.64 Y4 @ Y5))) => 32.02/4.64 (Y3 @ 32.02/4.64 Y4 @ Y5))))))))) & 32.02/4.64 (((!!) @ ( 32.02/4.64 ^[Y4 : a]: 32.02/4.64 ( 32.02/4.64 ( 32.02/4.64 (!!) @ ( 32.02/4.64 ^[Y5 : a]: 32.02/4.64 (( 32.02/4.64 (!!) @ ( 32.02/4.64 ^[Y6 : a]: 32.02/4.64 (( 32.02/4.64 (( 32.02/4.64 (Y3 @ 32.02/4.64 Y4 @ 32.02/4.64 Y5) & 32.02/4.64 (Y3 @ 32.02/4.64 Y5 @ Y6))) => 32.02/4.64 (Y3 @ 32.02/4.64 Y4 @ Y6)))))))))))))) => 32.02/4.64 (Y3 @ Y0 @ Y2))))))))))))))))) 32.02/4.64 | (((((((!!) @ (^[Y0 : a]: 32.02/4.64 (((!!) @ (^[Y1 : a]: 32.02/4.64 (((!!) @ (^[Y2 : a]: 32.02/4.64 ((((('#sk8' @ Y0 @ Y1) & 32.02/4.64 ('#sk8' @ Y1 @ Y2))) => 32.02/4.64 ('#sk8' @ Y0 @ Y2)))))))))))) & 32.02/4.64 (((!!) @ (^[Y0 : a]: 32.02/4.64 (((!!) @ (^[Y1 : a]: 32.02/4.64 ((('#sk2' @ Y0 @ Y1) => ('#sk8' @ Y0 @ 32.02/4.64 Y1))))))))))) => 32.02/4.64 ('#sk8' @ '#sk6' @ '#sk7'))))), 32.02/4.64 inference('renaming', [status(thm)], [zip_derived_cl27, zip_derived_cl37])). 32.02/4.64 thf(zip_derived_cl47, plain, 32.02/4.64 ((~ ('#form29') 32.02/4.64 | (((!!) @ (^[Y0 : a > a > $o]: 32.02/4.64 (((((((!!) @ (^[Y1 : a]: 32.02/4.64 (((!!) @ (^[Y2 : a]: 32.02/4.64 ((('#sk1' @ Y1 @ Y2) => 32.02/4.64 (Y0 @ Y1 @ Y2))))))))) & 32.02/4.64 (((!!) @ (^[Y1 : a]: 32.02/4.64 (((!!) @ (^[Y2 : a]: 32.02/4.64 (((!!) @ (^[Y3 : a]: 32.02/4.64 (((((Y0 @ Y1 @ 32.02/4.64 Y2) & (Y0 @ 32.02/4.64 Y2 @ Y3))) => 32.02/4.64 (Y0 @ Y1 @ Y3)))))))))))))) => 32.02/4.64 (Y0 @ '#sk6' @ '#sk7')))))))), 32.02/4.64 define([status(thm)])). 32.02/4.64 thf(zip_derived_cl175, plain, 32.02/4.64 (( ('#form29') 32.02/4.64 | (((((((!!) @ (^[Y0 : a]: 32.02/4.64 (((!!) @ (^[Y1 : a]: 32.02/4.64 (((!!) @ (^[Y2 : a]: 32.02/4.64 ((((('#sk8' @ Y0 @ Y1) & 32.02/4.64 ('#sk8' @ Y1 @ Y2))) => 32.02/4.64 ('#sk8' @ Y0 @ Y2)))))))))))) & 32.02/4.64 (((!!) @ (^[Y0 : a]: 32.02/4.64 (((!!) @ (^[Y1 : a]: 32.02/4.64 ((('#sk2' @ Y0 @ Y1) => ('#sk8' @ Y0 @ 32.02/4.64 Y1))))))))))) => 32.02/4.64 ('#sk8' @ '#sk6' @ '#sk7'))) 32.02/4.64 | ~ (((!!) @ (^[Y0 : a]: 32.02/4.64 (((!!) @ (^[Y1 : a]: 32.02/4.64 (((!!) @ (^[Y2 : a]: 32.02/4.64 (((((((!!) @ (^[Y3 : a > a > $o]: 32.02/4.64 (((((((!!) @ ( 32.02/4.64 ^[Y4 : a]: 32.02/4.64 (( 32.02/4.64 (!!) @ ( 32.02/4.64 ^[Y5 : a]: 32.02/4.64 (( 32.02/4.64 (!!) @ ( 32.02/4.64 ^[Y6 : a]: 32.02/4.64 (( 32.02/4.64 (( 32.02/4.64 (Y3 @ 32.02/4.64 Y4 @ 32.02/4.64 Y5) & 32.02/4.64 (Y3 @ 32.02/4.64 Y5 @ Y6))) => 32.02/4.64 (Y3 @ 32.02/4.64 Y4 @ Y6)))))))))))) & 32.02/4.64 (((!!) @ ( 32.02/4.64 ^[Y4 : a]: 32.02/4.64 (( 32.02/4.64 (!!) @ ( 32.02/4.64 ^[Y5 : a]: 32.02/4.64 (( 32.02/4.64 (( 32.02/4.64 ('#sk2' @ 32.02/4.64 Y4 @ 32.02/4.64 Y5) | 32.02/4.64 ('#sk1' @ 32.02/4.64 Y4 @ Y5))) => 32.02/4.64 (Y3 @ 32.02/4.64 Y4 @ Y5))))))))))) => 32.02/4.64 (Y3 @ Y0 @ 32.02/4.64 Y1)))))) & 32.02/4.64 (((!!) @ (^[Y3 : a > a > $o]: 32.02/4.64 (((((((!!) @ ( 32.02/4.64 ^[Y4 : a]: 32.02/4.64 (( 32.02/4.64 (!!) @ ( 32.02/4.64 ^[Y5 : a]: 32.02/4.64 (( 32.02/4.64 (( 32.02/4.64 ('#sk2' @ 32.02/4.64 Y4 @ 32.02/4.64 Y5) | 32.02/4.64 ('#sk1' @ 32.02/4.64 Y4 @ Y5))) => 32.02/4.64 (Y3 @ 32.02/4.64 Y4 @ Y5))))))))) & 32.02/4.64 (((!!) @ ( 32.02/4.64 ^[Y4 : a]: 32.02/4.64 (( 32.02/4.64 (!!) @ ( 32.02/4.64 ^[Y5 : a]: 32.02/4.64 (( 32.02/4.64 (!!) @ ( 32.02/4.64 ^[Y6 : a]: 32.02/4.64 (( 32.02/4.64 (( 32.02/4.64 (Y3 @ 32.02/4.64 Y4 @ 32.02/4.64 Y5) & 32.02/4.64 (Y3 @ 32.02/4.64 Y5 @ Y6))) => 32.02/4.64 (Y3 @ 32.02/4.64 Y4 @ Y6)))))))))))))) => 32.02/4.64 (Y3 @ Y1 @ 32.02/4.64 Y2)))))))) => 32.02/4.64 (((!!) @ (^[Y3 : a > a > $o]: 32.02/4.64 (((((((!!) @ ( 32.02/4.64 ^[Y4 : a]: 32.02/4.64 ( 32.02/4.64 ( 32.02/4.64 (!!) @ ( 32.02/4.64 ^[Y5 : a]: 32.02/4.64 (( 32.02/4.64 (( 32.02/4.64 ('#sk2' @ 32.02/4.64 Y4 @ 32.02/4.64 Y5) | 32.02/4.64 ('#sk1' @ 32.02/4.64 Y4 @ Y5))) => 32.02/4.64 (Y3 @ 32.02/4.64 Y4 @ Y5))))))))) & 32.02/4.64 (((!!) @ ( 32.02/4.64 ^[Y4 : a]: 32.02/4.64 ( 32.02/4.64 ( 32.02/4.64 (!!) @ ( 32.02/4.64 ^[Y5 : a]: 32.02/4.64 (( 32.02/4.64 (!!) @ ( 32.02/4.64 ^[Y6 : a]: 32.02/4.64 (( 32.02/4.64 (( 32.02/4.64 (Y3 @ 32.02/4.64 Y4 @ 32.02/4.64 Y5) & 32.02/4.64 (Y3 @ 32.02/4.64 Y5 @ Y6))) => 32.02/4.64 (Y3 @ 32.02/4.64 Y4 @ Y6)))))))))))))) => 32.02/4.64 (Y3 @ Y0 @ Y2))))))))))))))))) 32.02/4.64 | ('#form19'))), 32.02/4.64 inference('renaming', [status(thm)], 32.02/4.64 [zip_derived_cl174, zip_derived_cl47])). 32.02/4.64 thf(zip_derived_cl31, plain, 32.02/4.64 (( ('#form9') 32.02/4.64 | ~ (((!!) @ (^[Y0 : a]: 32.02/4.64 (((!!) @ (^[Y1 : a]: 32.02/4.64 (((!!) @ (^[Y2 : a]: 32.02/4.64 (((((((!!) @ (^[Y3 : a > a > $o]: 32.02/4.64 (((((((!!) @ ( 32.02/4.64 ^[Y4 : a]: 32.02/4.64 (( 32.02/4.64 (!!) @ ( 32.02/4.64 ^[Y5 : a]: 32.02/4.64 (( 32.02/4.64 (!!) @ ( 32.02/4.64 ^[Y6 : a]: 32.02/4.64 (( 32.02/4.64 (( 32.02/4.64 (Y3 @ 32.02/4.64 Y4 @ 32.02/4.64 Y5) & 32.02/4.64 (Y3 @ 32.02/4.64 Y5 @ Y6))) => 32.02/4.64 (Y3 @ 32.02/4.64 Y4 @ Y6)))))))))))) & 32.02/4.64 (((!!) @ ( 32.02/4.64 ^[Y4 : a]: 32.02/4.64 (( 32.02/4.64 (!!) @ ( 32.02/4.64 ^[Y5 : a]: 32.02/4.64 (( 32.02/4.64 (( 32.02/4.64 ('#sk2' @ 32.02/4.64 Y4 @ 32.02/4.64 Y5) | 32.02/4.64 ('#sk1' @ 32.02/4.64 Y4 @ Y5))) => 32.02/4.64 (Y3 @ 32.02/4.64 Y4 @ Y5))))))))))) => 32.02/4.64 (Y3 @ Y0 @ 32.02/4.64 Y1)))))) & 32.02/4.64 (((!!) @ (^[Y3 : a > a > $o]: 32.02/4.64 (((((((!!) @ ( 32.02/4.64 ^[Y4 : a]: 32.02/4.64 (( 32.02/4.64 (!!) @ ( 32.02/4.64 ^[Y5 : a]: 32.02/4.64 (( 32.02/4.64 (( 32.02/4.64 ('#sk2' @ 32.02/4.64 Y4 @ 32.02/4.64 Y5) | 32.02/4.64 ('#sk1' @ 32.02/4.64 Y4 @ Y5))) => 32.02/4.64 (Y3 @ 32.02/4.64 Y4 @ Y5))))))))) & 32.02/4.64 (((!!) @ ( 32.02/4.64 ^[Y4 : a]: 32.02/4.64 (( 32.02/4.64 (!!) @ ( 32.02/4.64 ^[Y5 : a]: 32.02/4.64 (( 32.02/4.64 (!!) @ ( 32.02/4.64 ^[Y6 : a]: 32.02/4.64 (( 32.02/4.64 (( 32.02/4.64 (Y3 @ 32.02/4.64 Y4 @ 32.02/4.64 Y5) & 32.02/4.64 (Y3 @ 32.02/4.64 Y5 @ Y6))) => 32.02/4.64 (Y3 @ 32.02/4.64 Y4 @ Y6)))))))))))))) => 32.02/4.64 (Y3 @ Y1 @ 32.02/4.64 Y2)))))))) => 32.02/4.64 (((!!) @ (^[Y3 : a > a > $o]: 32.02/4.64 (((((((!!) @ ( 32.02/4.64 ^[Y4 : a]: 32.02/4.64 ( 32.02/4.64 ( 32.02/4.64 (!!) @ ( 32.02/4.64 ^[Y5 : a]: 32.02/4.64 (( 32.02/4.64 (( 32.02/4.64 ('#sk2' @ 32.02/4.64 Y4 @ 32.02/4.64 Y5) | 32.02/4.64 ('#sk1' @ 32.02/4.64 Y4 @ Y5))) => 32.02/4.64 (Y3 @ 32.02/4.64 Y4 @ Y5))))))))) & 32.02/4.64 (((!!) @ ( 32.02/4.64 ^[Y4 : a]: 32.02/4.64 ( 32.02/4.64 ( 32.02/4.64 (!!) @ ( 32.02/4.64 ^[Y5 : a]: 32.02/4.64 (( 32.02/4.64 (!!) @ ( 32.02/4.64 ^[Y6 : a]: 32.02/4.64 (( 32.02/4.64 (( 32.02/4.64 (Y3 @ 32.02/4.64 Y4 @ 32.02/4.64 Y5) & 32.02/4.64 (Y3 @ 32.02/4.64 Y5 @ Y6))) => 32.02/4.64 (Y3 @ 32.02/4.64 Y4 @ Y6)))))))))))))) => 32.02/4.64 (Y3 @ Y0 @ Y2))))))))))))))))))), 32.02/4.64 define([status(thm)])). 32.02/4.64 thf(zip_derived_cl176, plain, 32.02/4.64 ((~ ('#form9') 32.02/4.64 | ('#form19') 32.02/4.64 | (((((((!!) @ (^[Y0 : a]: 32.02/4.64 (((!!) @ (^[Y1 : a]: 32.02/4.64 (((!!) @ (^[Y2 : a]: 32.02/4.64 ((((('#sk8' @ Y0 @ Y1) & 32.02/4.64 ('#sk8' @ Y1 @ Y2))) => 32.02/4.64 ('#sk8' @ Y0 @ Y2)))))))))))) & 32.02/4.64 (((!!) @ (^[Y0 : a]: 32.02/4.64 (((!!) @ (^[Y1 : a]: 32.02/4.64 ((('#sk2' @ Y0 @ Y1) => ('#sk8' @ Y0 @ 32.02/4.64 Y1))))))))))) => 32.02/4.64 ('#sk8' @ '#sk6' @ '#sk7'))) 32.02/4.64 | ('#form29'))), 32.02/4.64 inference('renaming', [status(thm)], 32.02/4.64 [zip_derived_cl175, zip_derived_cl31])). 32.02/4.64 thf(zip_derived_cl177, plain, 32.02/4.64 ((~ (((((!!) @ (^[Y0 : a]: 32.02/4.64 (((!!) @ (^[Y1 : a]: 32.02/4.64 (((!!) @ (^[Y2 : a]: 32.02/4.64 ((((('#sk8' @ Y0 @ Y1) & 32.02/4.64 ('#sk8' @ Y1 @ Y2))) => 32.02/4.64 ('#sk8' @ Y0 @ Y2)))))))))))) & 32.02/4.64 (((!!) @ (^[Y0 : a]: 32.02/4.64 (((!!) @ (^[Y1 : a]: 32.02/4.64 ((('#sk2' @ Y0 @ Y1) => ('#sk8' @ Y0 @ Y1))))))))))) 32.02/4.64 | ('#sk8' @ '#sk6' @ '#sk7') 32.02/4.64 | ('#form29') 32.02/4.64 | ('#form19') 32.02/4.64 | ~ ('#form9'))), 32.02/4.64 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl176])). 32.02/4.64 thf(zip_derived_cl56, plain, 32.02/4.64 ((~ ('#sk8' @ '#sk6' @ '#sk7') | ~ ('#form9') | ('#form19'))), 32.02/4.64 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl44])). 32.02/4.64 thf(zip_derived_cl178, plain, 32.02/4.64 ((~ ('#form9') 32.02/4.64 | ('#form19') 32.02/4.64 | ('#form29') 32.02/4.64 | ~ (((((!!) @ (^[Y0 : a]: 32.02/4.64 (((!!) @ (^[Y1 : a]: 32.02/4.64 (((!!) @ (^[Y2 : a]: 32.02/4.64 ((((('#sk8' @ Y0 @ Y1) & 32.02/4.64 ('#sk8' @ Y1 @ Y2))) => 32.02/4.64 ('#sk8' @ Y0 @ Y2)))))))))))) & 32.02/4.64 (((!!) @ (^[Y0 : a]: 32.02/4.64 (((!!) @ (^[Y1 : a]: 32.02/4.64 ((('#sk2' @ Y0 @ Y1) => ('#sk8' @ Y0 @ 32.02/4.64 Y1))))))))))))), 32.02/4.64 inference('clc', [status(thm)], [zip_derived_cl177, zip_derived_cl56])). 32.02/4.64 thf(zip_derived_cl179, plain, 32.02/4.64 ((~ (((!!) @ (^[Y0 : a]: 32.02/4.64 (((!!) @ (^[Y1 : a]: 32.02/4.64 (((!!) @ (^[Y2 : a]: 32.02/4.64 ((((('#sk8' @ Y0 @ Y1) & 32.02/4.64 ('#sk8' @ Y1 @ Y2))) => 32.02/4.64 ('#sk8' @ Y0 @ Y2)))))))))))) 32.02/4.64 | ~ (((!!) @ (^[Y0 : a]: 32.02/4.64 (((!!) @ (^[Y1 : a]: 32.02/4.64 ((('#sk2' @ Y0 @ Y1) => ('#sk8' @ Y0 @ Y1))))))))) 32.02/4.64 | ('#form29') 32.02/4.64 | ('#form19') 32.02/4.64 | ~ ('#form9'))), 32.02/4.64 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl178])). 32.02/4.64 thf(zip_derived_cl77, plain, 32.02/4.64 (![X2 : a > a > $o]: 32.02/4.64 ( ('#form105' @ X2) 32.02/4.64 | ~ (((!!) @ (^[Y0 : a]: 32.02/4.64 (((!!) @ (^[Y1 : a]: 32.02/4.64 (((!!) @ (^[Y2 : a]: 32.02/4.64 (((((X2 @ Y0 @ Y1) & (X2 @ 32.02/4.64 Y1 @ Y2))) => 32.02/4.64 (X2 @ Y0 @ Y2)))))))))))))), 32.02/4.64 define([status(thm)])). 32.02/4.64 thf(zip_derived_cl180, plain, 32.02/4.64 ((~ ('#form105' @ '#sk8') 32.02/4.64 | ~ ('#form9') 32.02/4.64 | ('#form19') 32.02/4.64 | ('#form29') 32.02/4.64 | ~ (((!!) @ (^[Y0 : a]: 32.02/4.64 (((!!) @ (^[Y1 : a]: 32.02/4.64 ((('#sk2' @ Y0 @ Y1) => ('#sk8' @ Y0 @ Y1))))))))))), 32.02/4.64 inference('renaming', [status(thm)], 32.02/4.64 [zip_derived_cl179, zip_derived_cl77])). 32.02/4.64 thf(zip_derived_cl181, plain, 32.02/4.64 ((~ (((!!) @ (^[Y0 : a]: 32.02/4.64 ((('#sk2' @ ('#sk187' @ '#sk8') @ Y0) => ('#sk8' @ 32.02/4.64 ('#sk187' @ '#sk8') @ Y0)))))) 32.02/4.64 | ('#form29') 32.02/4.64 | ('#form19') 32.02/4.64 | ~ ('#form9') 32.02/4.64 | ~ ('#form105' @ '#sk8'))), 32.02/4.64 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl180])). 32.02/4.64 thf(zip_derived_cl182, plain, 32.02/4.64 ((~ ((('#sk2' @ ('#sk187' @ '#sk8') @ ('#sk246' @ '#sk8')) => ('#sk8' @ 32.02/4.64 ('#sk187' @ '#sk8') @ ('#sk246' @ '#sk8')))) 32.02/4.64 | ~ ('#form105' @ '#sk8') 32.02/4.64 | ~ ('#form9') 32.02/4.64 | ('#form19') 32.02/4.64 | ('#form29'))), 32.02/4.64 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl181])). 32.02/4.64 thf(zip_derived_cl184, plain, 32.02/4.64 ((~ ('#sk8' @ ('#sk187' @ '#sk8') @ ('#sk246' @ '#sk8')) 32.02/4.64 | ('#form29') 32.02/4.64 | ('#form19') 32.02/4.64 | ~ ('#form9') 32.02/4.64 | ~ ('#form105' @ '#sk8'))), 32.02/4.64 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl182])). 32.02/4.64 thf(zip_derived_cl183, plain, 32.02/4.64 (( ('#sk2' @ ('#sk187' @ '#sk8') @ ('#sk246' @ '#sk8')) 32.02/4.64 | ('#form29') 32.02/4.64 | ('#form19') 32.02/4.64 | ~ ('#form9') 32.02/4.64 | ~ ('#form105' @ '#sk8'))), 32.02/4.64 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl182])). 32.02/4.64 thf(zip_derived_cl55, plain, 32.02/4.64 (( (((((!!) @ (^[Y0 : a]: 32.02/4.64 (((!!) @ (^[Y1 : a]: 32.02/4.64 ((((('#sk1' @ Y0 @ Y1) | ('#sk2' @ Y0 @ Y1))) => 32.02/4.64 ('#sk8' @ Y0 @ Y1))))))))) & 32.02/4.64 (((!!) @ (^[Y0 : a]: 32.02/4.64 (((!!) @ (^[Y1 : a]: 32.02/4.64 (((!!) @ (^[Y2 : a]: 32.02/4.64 ((((('#sk8' @ Y0 @ Y1) & 32.02/4.64 ('#sk8' @ Y1 @ Y2))) => 32.02/4.64 ('#sk8' @ Y0 @ Y2)))))))))))))) 32.02/4.64 | ~ ('#form9') 32.02/4.64 | ('#form19'))), 32.02/4.64 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl44])). 32.02/4.64 thf(zip_derived_cl61, plain, 32.02/4.64 (( (((!!) @ (^[Y0 : a]: 32.02/4.64 (((!!) @ (^[Y1 : a]: 32.02/4.64 ((((('#sk1' @ Y0 @ Y1) | ('#sk2' @ Y0 @ Y1))) => 32.02/4.64 ('#sk8' @ Y0 @ Y1))))))))) 32.02/4.64 | ('#form19') 32.02/4.64 | ~ ('#form9'))), 32.02/4.64 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl55])). 32.02/4.64 thf(zip_derived_cl68, plain, 32.02/4.64 (![X2 : a]: 32.02/4.64 ( (((!!) @ (^[Y0 : a]: 32.02/4.64 ((((('#sk1' @ X2 @ Y0) | ('#sk2' @ X2 @ Y0))) => 32.02/4.64 ('#sk8' @ X2 @ Y0)))))) 32.02/4.64 | ~ ('#form9') 32.02/4.64 | ('#form19'))), 32.02/4.64 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl61])). 32.02/4.64 thf(zip_derived_cl81, plain, 32.02/4.64 (![X2 : a, X4 : a]: 32.02/4.64 ( ((((('#sk1' @ X2 @ X4) | ('#sk2' @ X2 @ X4))) => ('#sk8' @ X2 @ X4))) 32.02/4.64 | ('#form19') 32.02/4.64 | ~ ('#form9'))), 32.02/4.64 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl68])). 32.02/4.64 thf(zip_derived_cl102, plain, 32.02/4.64 (![X2 : a, X4 : a]: 32.02/4.64 (~ ((('#sk1' @ X2 @ X4) | ('#sk2' @ X2 @ X4))) 32.02/4.64 | ('#sk8' @ X2 @ X4) 32.02/4.64 | ~ ('#form9') 32.02/4.64 | ('#form19'))), 32.02/4.64 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl81])). 32.02/4.64 thf(zip_derived_cl115, plain, 32.02/4.64 (![X2 : a, X4 : a]: 32.02/4.64 (~ ('#sk2' @ X2 @ X4) 32.02/4.64 | ('#form19') 32.02/4.64 | ~ ('#form9') 32.02/4.64 | ('#sk8' @ X2 @ X4))), 32.02/4.64 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl102])). 32.02/4.64 thf(zip_derived_cl114, plain, 32.02/4.64 (![X2 : a, X4 : a]: 32.02/4.64 (~ ('#sk1' @ X2 @ X4) 32.02/4.64 | ('#form19') 32.02/4.64 | ~ ('#form9') 32.02/4.64 | ('#sk8' @ X2 @ X4))), 32.02/4.64 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl102])). 32.02/4.64 thf(zip_derived_cl31, plain, 32.02/4.64 (( ('#form9') 32.02/4.64 | ~ (((!!) @ (^[Y0 : a]: 32.02/4.64 (((!!) @ (^[Y1 : a]: 32.02/4.64 (((!!) @ (^[Y2 : a]: 32.02/4.64 (((((((!!) @ (^[Y3 : a > a > $o]: 32.02/4.64 (((((((!!) @ ( 32.02/4.64 ^[Y4 : a]: 32.02/4.64 (( 32.02/4.64 (!!) @ ( 32.02/4.64 ^[Y5 : a]: 32.02/4.64 (( 32.02/4.64 (!!) @ ( 32.02/4.64 ^[Y6 : a]: 32.02/4.64 (( 32.02/4.64 (( 32.02/4.64 (Y3 @ 32.02/4.64 Y4 @ 32.02/4.64 Y5) & 32.02/4.64 (Y3 @ 32.02/4.64 Y5 @ Y6))) => 32.02/4.64 (Y3 @ 32.02/4.64 Y4 @ Y6)))))))))))) & 32.02/4.64 (((!!) @ ( 32.02/4.64 ^[Y4 : a]: 32.02/4.64 (( 32.02/4.64 (!!) @ ( 32.02/4.64 ^[Y5 : a]: 32.02/4.64 (( 32.02/4.64 (( 32.02/4.64 ('#sk2' @ 32.02/4.64 Y4 @ 32.02/4.64 Y5) | 32.02/4.64 ('#sk1' @ 32.02/4.64 Y4 @ Y5))) => 32.02/4.64 (Y3 @ 32.02/4.64 Y4 @ Y5))))))))))) => 32.02/4.64 (Y3 @ Y0 @ 32.02/4.64 Y1)))))) & 32.02/4.64 (((!!) @ (^[Y3 : a > a > $o]: 32.02/4.64 (((((((!!) @ ( 32.02/4.64 ^[Y4 : a]: 32.02/4.64 (( 32.02/4.64 (!!) @ ( 32.02/4.64 ^[Y5 : a]: 32.02/4.64 (( 32.02/4.64 (( 32.02/4.64 ('#sk2' @ 32.02/4.64 Y4 @ 32.02/4.64 Y5) | 32.02/4.64 ('#sk1' @ 32.02/4.64 Y4 @ Y5))) => 32.02/4.64 (Y3 @ 32.02/4.64 Y4 @ Y5))))))))) & 32.02/4.64 (((!!) @ ( 32.02/4.64 ^[Y4 : a]: 32.02/4.64 (( 32.02/4.64 (!!) @ ( 32.02/4.64 ^[Y5 : a]: 32.02/4.64 (( 32.02/4.64 (!!) @ ( 32.02/4.64 ^[Y6 : a]: 32.02/4.64 (( 32.02/4.64 (( 32.02/4.64 (Y3 @ 32.02/4.64 Y4 @ 32.02/4.64 Y5) & 32.02/4.64 (Y3 @ 32.02/4.64 Y5 @ Y6))) => 32.02/4.64 (Y3 @ 32.02/4.64 Y4 @ Y6)))))))))))))) => 32.02/4.64 (Y3 @ Y1 @ 32.02/4.64 Y2)))))))) => 32.02/4.64 (((!!) @ (^[Y3 : a > a > $o]: 32.02/4.64 (((((((!!) @ ( 32.02/4.64 ^[Y4 : a]: 32.02/4.64 ( 32.02/4.64 ( 32.02/4.64 (!!) @ ( 32.02/4.64 ^[Y5 : a]: 32.02/4.64 (( 32.02/4.64 (( 32.02/4.64 ('#sk2' @ 32.02/4.64 Y4 @ 32.02/4.64 Y5) | 32.02/4.64 ('#sk1' @ 32.02/4.64 Y4 @ Y5))) => 32.02/4.64 (Y3 @ 32.02/4.64 Y4 @ Y5))))))))) & 32.02/4.64 (((!!) @ ( 32.02/4.64 ^[Y4 : a]: 32.02/4.64 ( 32.02/4.64 ( 32.02/4.64 (!!) @ ( 32.02/4.64 ^[Y5 : a]: 32.02/4.64 (( 32.02/4.64 (!!) @ ( 32.02/4.64 ^[Y6 : a]: 32.02/4.64 (( 32.02/4.64 (( 32.02/4.64 (Y3 @ 32.02/4.64 Y4 @ 32.02/4.64 Y5) & 32.02/4.64 (Y3 @ 32.02/4.64 Y5 @ Y6))) => 32.02/4.64 (Y3 @ 32.02/4.64 Y4 @ Y6)))))))))))))) => 32.02/4.64 (Y3 @ Y0 @ Y2))))))))))))))))))), 32.02/4.64 define([status(thm)])). 32.02/4.64 thf(zip_derived_cl32, plain, 32.02/4.64 ((~ (((!!) @ (^[Y0 : a]: 32.02/4.64 (((!!) @ (^[Y1 : a]: 32.02/4.64 (((((((!!) @ (^[Y2 : a > a > $o]: 32.02/4.64 (((((((!!) @ (^[Y3 : a]: 32.02/4.64 (((!!) @ ( 32.02/4.64 ^[Y4 : a]: 32.02/4.64 ( 32.02/4.64 ( 32.02/4.64 (!!) @ ( 32.02/4.64 ^[Y5 : a]: 32.02/4.64 (( 32.02/4.64 (( 32.02/4.64 (Y2 @ 32.02/4.64 Y3 @ 32.02/4.64 Y4) & 32.02/4.64 (Y2 @ 32.02/4.64 Y4 @ Y5))) => 32.02/4.64 (Y2 @ 32.02/4.64 Y3 @ Y5)))))))))))) & 32.02/4.64 (((!!) @ (^[Y3 : a]: 32.02/4.64 (((!!) @ ( 32.02/4.64 ^[Y4 : a]: 32.02/4.64 ( 32.02/4.64 ( 32.02/4.64 (( 32.02/4.64 ('#sk2' @ 32.02/4.64 Y3 @ 32.02/4.64 Y4) | 32.02/4.64 ('#sk1' @ 32.02/4.64 Y3 @ Y4))) => 32.02/4.64 (Y2 @ 32.02/4.64 Y3 @ Y4))))))))))) => 32.02/4.64 (Y2 @ '#sk10' @ Y0)))))) & 32.02/4.64 (((!!) @ (^[Y2 : a > a > $o]: 32.02/4.64 (((((((!!) @ (^[Y3 : a]: 32.02/4.64 (((!!) @ ( 32.02/4.64 ^[Y4 : a]: 32.02/4.64 ( 32.02/4.64 ( 32.02/4.64 (( 32.02/4.64 ('#sk2' @ 32.02/4.64 Y3 @ 32.02/4.64 Y4) | 32.02/4.64 ('#sk1' @ 32.02/4.64 Y3 @ Y4))) => 32.02/4.64 (Y2 @ 32.02/4.64 Y3 @ Y4))))))))) & 32.02/4.64 (((!!) @ (^[Y3 : a]: 32.02/4.64 (((!!) @ ( 32.02/4.64 ^[Y4 : a]: 32.02/4.64 ( 32.02/4.64 ( 32.02/4.64 (!!) @ ( 32.02/4.64 ^[Y5 : a]: 32.02/4.64 (( 32.02/4.64 (( 32.02/4.64 (Y2 @ 32.02/4.64 Y3 @ 32.02/4.64 Y4) & 32.02/4.64 (Y2 @ 32.02/4.64 Y4 @ Y5))) => 32.02/4.64 (Y2 @ 32.02/4.64 Y3 @ Y5)))))))))))))) => 32.02/4.64 (Y2 @ Y0 @ Y1)))))))) => 32.02/4.64 (((!!) @ (^[Y2 : a > a > $o]: 32.02/4.64 (((((((!!) @ (^[Y3 : a]: 32.02/4.64 (((!!) @ ( 32.02/4.64 ^[Y4 : a]: 32.02/4.64 (((( 32.02/4.64 ('#sk2' @ 32.02/4.64 Y3 @ 32.02/4.64 Y4) | 32.02/4.64 ('#sk1' @ 32.02/4.64 Y3 @ Y4))) => 32.02/4.64 (Y2 @ 32.02/4.64 Y3 @ Y4))))))))) & 32.02/4.64 (((!!) @ (^[Y3 : a]: 32.02/4.64 (((!!) @ ( 32.02/4.64 ^[Y4 : a]: 32.02/4.64 (((!!) @ ( 32.02/4.64 ^[Y5 : a]: 32.02/4.64 (( 32.02/4.64 (( 32.02/4.64 (Y2 @ 32.02/4.64 Y3 @ 32.02/4.64 Y4) & 32.02/4.64 (Y2 @ 32.02/4.64 Y4 @ Y5))) => 32.02/4.64 (Y2 @ 32.02/4.64 Y3 @ Y5)))))))))))))) => 32.02/4.64 (Y2 @ '#sk10' @ Y1)))))))))))))) 32.02/4.64 | ('#form9'))), 32.02/4.64 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl31])). 32.02/4.64 thf(zip_derived_cl45, plain, 32.02/4.64 ((~ (((!!) @ (^[Y0 : a]: 32.02/4.64 (((((((!!) @ (^[Y1 : a > a > $o]: 32.02/4.64 (((((((!!) @ (^[Y2 : a]: 32.02/4.64 (((!!) @ (^[Y3 : a]: 32.02/4.64 (((!!) @ ( 32.02/4.64 ^[Y4 : a]: 32.02/4.64 ( 32.02/4.64 ( 32.02/4.64 (( 32.02/4.64 (Y1 @ 32.02/4.64 Y2 @ 32.02/4.64 Y3) & 32.02/4.64 (Y1 @ 32.02/4.64 Y3 @ Y4))) => 32.02/4.64 (Y1 @ 32.02/4.64 Y2 @ Y4)))))))))))) & 32.02/4.64 (((!!) @ (^[Y2 : a]: 32.02/4.64 (((!!) @ (^[Y3 : a]: 32.02/4.64 ((((('#sk2' @ 32.02/4.64 Y2 @ 32.02/4.64 Y3) | 32.02/4.64 ('#sk1' @ 32.02/4.64 Y2 @ Y3))) => 32.02/4.64 (Y1 @ Y2 @ 32.02/4.64 Y3))))))))))) => 32.02/4.64 (Y1 @ '#sk10' @ '#sk20')))))) & 32.02/4.64 (((!!) @ (^[Y1 : a > a > $o]: 32.02/4.64 (((((((!!) @ (^[Y2 : a]: 32.02/4.64 (((!!) @ (^[Y3 : a]: 32.02/4.64 ((((('#sk2' @ 32.02/4.64 Y2 @ 32.02/4.64 Y3) | 32.02/4.64 ('#sk1' @ 32.02/4.64 Y2 @ Y3))) => 32.02/4.64 (Y1 @ Y2 @ 32.02/4.64 Y3))))))))) & 32.02/4.64 (((!!) @ (^[Y2 : a]: 32.02/4.64 (((!!) @ (^[Y3 : a]: 32.02/4.64 (((!!) @ ( 32.02/4.64 ^[Y4 : a]: 32.02/4.64 ( 32.02/4.64 ( 32.02/4.64 (( 32.02/4.64 (Y1 @ 32.02/4.64 Y2 @ 32.02/4.64 Y3) & 32.02/4.64 (Y1 @ 32.02/4.64 Y3 @ Y4))) => 32.02/4.64 (Y1 @ 32.02/4.64 Y2 @ Y4)))))))))))))) => 32.02/4.64 (Y1 @ '#sk20' @ Y0)))))))) => 32.02/4.64 (((!!) @ (^[Y1 : a > a > $o]: 32.02/4.64 (((((((!!) @ (^[Y2 : a]: 32.02/4.64 (((!!) @ (^[Y3 : a]: 32.02/4.64 ((((('#sk2' @ 32.02/4.64 Y2 @ Y3) | 32.02/4.64 ('#sk1' @ 32.02/4.64 Y2 @ Y3))) => 32.02/4.64 (Y1 @ Y2 @ 32.02/4.64 Y3))))))))) & 32.02/4.64 (((!!) @ (^[Y2 : a]: 32.02/4.64 (((!!) @ (^[Y3 : a]: 32.02/4.64 (((!!) @ ( 32.02/4.64 ^[Y4 : a]: 32.02/4.64 (((( 32.02/4.64 (Y1 @ 32.02/4.64 Y2 @ 32.02/4.64 Y3) & 32.02/4.64 (Y1 @ 32.02/4.64 Y3 @ Y4))) => 32.02/4.64 (Y1 @ 32.02/4.64 Y2 @ Y4)))))))))))))) => 32.02/4.64 (Y1 @ '#sk10' @ Y0))))))))))) 32.02/4.64 | ('#form9'))), 32.02/4.64 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl32])). 32.02/4.64 thf(zip_derived_cl57, plain, 32.02/4.64 ((~ (((((((!!) @ (^[Y0 : a > a > $o]: 32.02/4.64 (((((((!!) @ (^[Y1 : a]: 32.02/4.64 (((!!) @ (^[Y2 : a]: 32.02/4.64 (((!!) @ (^[Y3 : a]: 32.02/4.64 (((((Y0 @ 32.02/4.64 Y1 @ 32.02/4.64 Y2) & 32.02/4.64 (Y0 @ 32.02/4.64 Y2 @ Y3))) => 32.02/4.64 (Y0 @ Y1 @ 32.02/4.64 Y3)))))))))))) & 32.02/4.64 (((!!) @ (^[Y1 : a]: 32.02/4.64 (((!!) @ (^[Y2 : a]: 32.02/4.64 ((((('#sk2' @ Y1 @ Y2) | 32.02/4.64 ('#sk1' @ Y1 @ Y2))) => 32.02/4.64 (Y0 @ Y1 @ Y2))))))))))) => 32.02/4.64 (Y0 @ '#sk10' @ '#sk20')))))) & 32.02/4.64 (((!!) @ (^[Y0 : a > a > $o]: 32.02/4.64 (((((((!!) @ (^[Y1 : a]: 32.02/4.64 (((!!) @ (^[Y2 : a]: 32.02/4.64 ((((('#sk2' @ Y1 @ Y2) | 32.02/4.64 ('#sk1' @ Y1 @ Y2))) => 32.02/4.64 (Y0 @ Y1 @ Y2))))))))) & 32.02/4.64 (((!!) @ (^[Y1 : a]: 32.02/4.64 (((!!) @ (^[Y2 : a]: 32.02/4.64 (((!!) @ (^[Y3 : a]: 32.02/4.64 (((((Y0 @ 32.02/4.64 Y1 @ 32.02/4.64 Y2) & 32.02/4.64 (Y0 @ 32.02/4.64 Y2 @ Y3))) => 32.02/4.64 (Y0 @ Y1 @ 32.02/4.64 Y3)))))))))))))) => 32.02/4.64 (Y0 @ '#sk20' @ '#sk38')))))))) => 32.02/4.64 (((!!) @ (^[Y0 : a > a > $o]: 32.02/4.64 (((((((!!) @ (^[Y1 : a]: 32.02/4.64 (((!!) @ (^[Y2 : a]: 32.02/4.64 ((((('#sk2' @ Y1 @ Y2) | 32.02/4.64 ('#sk1' @ Y1 @ Y2))) => 32.02/4.64 (Y0 @ Y1 @ Y2))))))))) & 32.02/4.64 (((!!) @ (^[Y1 : a]: 32.02/4.64 (((!!) @ (^[Y2 : a]: 32.02/4.64 (((!!) @ (^[Y3 : a]: 32.02/4.64 (((((Y0 @ Y1 @ 32.02/4.64 Y2) & 32.02/4.64 (Y0 @ Y2 @ 32.02/4.64 Y3))) => 32.02/4.64 (Y0 @ Y1 @ 32.02/4.64 Y3)))))))))))))) => 32.02/4.64 (Y0 @ '#sk10' @ '#sk38')))))))) 32.02/4.64 | ('#form9'))), 32.02/4.64 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl45])). 32.02/4.64 thf(zip_derived_cl64, plain, 32.02/4.64 ((~ (((!!) @ (^[Y0 : a > a > $o]: 32.02/4.64 (((((((!!) @ (^[Y1 : a]: 32.02/4.64 (((!!) @ (^[Y2 : a]: 32.02/4.64 ((((('#sk2' @ Y1 @ Y2) | 32.02/4.64 ('#sk1' @ Y1 @ Y2))) => 32.02/4.64 (Y0 @ Y1 @ Y2))))))))) & 32.02/4.64 (((!!) @ (^[Y1 : a]: 32.02/4.64 (((!!) @ (^[Y2 : a]: 32.02/4.64 (((!!) @ (^[Y3 : a]: 32.02/4.64 (((((Y0 @ Y1 @ 32.02/4.64 Y2) & (Y0 @ 32.02/4.64 Y2 @ Y3))) => 32.02/4.64 (Y0 @ Y1 @ Y3)))))))))))))) => 32.02/4.64 (Y0 @ '#sk10' @ '#sk38')))))) 32.02/4.64 | ('#form9'))), 32.02/4.64 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl57])). 32.02/4.64 thf(zip_derived_cl75, plain, 32.02/4.64 ((~ (((((((!!) @ (^[Y0 : a]: 32.02/4.64 (((!!) @ (^[Y1 : a]: 32.02/4.64 ((((('#sk2' @ Y0 @ Y1) | ('#sk1' @ Y0 @ 32.02/4.64 Y1))) => 32.02/4.64 ('#sk88' @ Y0 @ Y1))))))))) & 32.02/4.64 (((!!) @ (^[Y0 : a]: 32.02/4.64 (((!!) @ (^[Y1 : a]: 32.02/4.64 (((!!) @ (^[Y2 : a]: 32.02/4.64 ((((('#sk88' @ Y0 @ Y1) & 32.02/4.64 ('#sk88' @ Y1 @ Y2))) => 32.02/4.64 ('#sk88' @ Y0 @ Y2)))))))))))))) => 32.02/4.64 ('#sk88' @ '#sk10' @ '#sk38'))) 32.02/4.64 | ('#form9'))), 32.02/4.64 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl64])). 32.02/4.64 thf(zip_derived_cl96, plain, 32.02/4.64 ((~ ('#sk88' @ '#sk10' @ '#sk38') | ('#form9'))), 32.02/4.64 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl75])). 32.02/4.64 thf(zip_derived_cl62, plain, 32.02/4.64 (( (((!!) @ (^[Y0 : a]: 32.02/4.64 (((!!) @ (^[Y1 : a]: 32.02/4.64 (((!!) @ (^[Y2 : a]: 32.02/4.64 ((((('#sk8' @ Y0 @ Y1) & 32.02/4.64 ('#sk8' @ Y1 @ Y2))) => 32.02/4.64 ('#sk8' @ Y0 @ Y2)))))))))))) 32.02/4.64 | ('#form19') 32.02/4.64 | ~ ('#form9'))), 32.02/4.64 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl55])). 32.02/4.64 thf(zip_derived_cl69, plain, 32.02/4.64 (![X2 : a]: 32.02/4.64 ( (((!!) @ (^[Y0 : a]: 32.02/4.64 (((!!) @ (^[Y1 : a]: 32.02/4.64 ((((('#sk8' @ X2 @ Y0) & ('#sk8' @ Y0 @ Y1))) => 32.02/4.64 ('#sk8' @ X2 @ Y1))))))))) 32.02/4.64 | ~ ('#form9') 32.02/4.64 | ('#form19'))), 32.02/4.64 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl62])). 32.02/4.64 thf(zip_derived_cl82, plain, 32.02/4.64 (![X2 : a, X4 : a]: 32.02/4.64 ( (((!!) @ (^[Y0 : a]: 32.02/4.64 ((((('#sk8' @ X2 @ X4) & ('#sk8' @ X4 @ Y0))) => 32.02/4.64 ('#sk8' @ X2 @ Y0)))))) 32.02/4.64 | ('#form19') 32.02/4.64 | ~ ('#form9'))), 32.02/4.64 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl69])). 32.02/4.64 thf(zip_derived_cl103, plain, 32.02/4.64 (![X2 : a, X4 : a, X6 : a]: 32.02/4.64 ( ((((('#sk8' @ X2 @ X4) & ('#sk8' @ X4 @ X6))) => ('#sk8' @ X2 @ X6))) 32.02/4.64 | ~ ('#form9') 32.02/4.64 | ('#form19'))), 32.02/4.64 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl82])). 32.02/4.64 thf(zip_derived_cl116, plain, 32.02/4.64 (![X2 : a, X4 : a, X6 : a]: 32.02/4.64 (~ ((('#sk8' @ X2 @ X4) & ('#sk8' @ X4 @ X6))) 32.02/4.64 | ('#sk8' @ X2 @ X6) 32.02/4.64 | ('#form19') 32.02/4.64 | ~ ('#form9'))), 32.02/4.64 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl103])). 32.02/4.64 thf(zip_derived_cl127, plain, 32.02/4.64 (![X2 : a, X4 : a, X6 : a]: 32.02/4.64 (~ ('#sk8' @ X2 @ X4) 32.02/4.64 | ~ ('#sk8' @ X4 @ X6) 32.02/4.64 | ~ ('#form9') 32.02/4.64 | ('#form19') 32.02/4.64 | ('#sk8' @ X2 @ X6))), 32.02/4.64 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl116])). 32.02/4.64 thf(zip_derived_cl37, plain, 32.02/4.64 ((~ ('#form19') 32.02/4.64 | (((!!) @ (^[Y0 : a > a > $o]: 32.02/4.64 (((((((!!) @ (^[Y1 : a]: 32.02/4.64 (((!!) @ (^[Y2 : a]: 32.02/4.64 ((((('#sk2' @ Y1 @ Y2) | 32.02/4.64 ('#sk1' @ Y1 @ Y2))) => 32.02/4.64 (Y0 @ Y1 @ Y2))))))))) & 32.02/4.64 (((!!) @ (^[Y1 : a]: 32.02/4.64 (((!!) @ (^[Y2 : a]: 32.02/4.64 (((!!) @ (^[Y3 : a]: 32.02/4.64 (((((Y0 @ Y1 @ 32.02/4.64 Y2) & (Y0 @ 32.02/4.64 Y2 @ Y3))) => 32.02/4.64 (Y0 @ Y1 @ Y3)))))))))))))) => 32.02/4.64 (Y0 @ '#sk3' @ '#sk4')))))))), 32.02/4.64 define([status(thm)])). 32.02/4.64 thf(zip_derived_cl38, plain, 32.02/4.64 (![X2 : a > a > $o]: 32.02/4.64 ( (((((((!!) @ (^[Y0 : a]: 32.02/4.64 (((!!) @ (^[Y1 : a]: 32.02/4.64 ((((('#sk2' @ Y0 @ Y1) | ('#sk1' @ Y0 @ 32.02/4.64 Y1))) => 32.02/4.64 (X2 @ Y0 @ Y1))))))))) & 32.02/4.64 (((!!) @ (^[Y0 : a]: 32.02/4.64 (((!!) @ (^[Y1 : a]: 32.02/4.64 (((!!) @ (^[Y2 : a]: 32.02/4.64 (((((X2 @ Y0 @ Y1) & (X2 @ 32.02/4.64 Y1 @ Y2))) => 32.02/4.64 (X2 @ Y0 @ Y2)))))))))))))) => 32.02/4.64 (X2 @ '#sk3' @ '#sk4'))) 32.02/4.64 | ~ ('#form19'))), 32.02/4.64 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl37])). 32.02/4.64 thf(zip_derived_cl40, plain, 32.02/4.64 (( (((((((!!) @ (^[Y0 : a]: 32.02/4.64 (((!!) @ (^[Y1 : a]: 32.02/4.64 ((((('#sk2' @ Y0 @ Y1) | ('#sk1' @ Y0 @ 32.02/4.64 Y1))) => 32.02/4.64 ('#sk5' @ Y0 @ Y1))))))))) & 32.02/4.64 (((!!) @ (^[Y0 : a]: 32.02/4.64 (((!!) @ (^[Y1 : a]: 32.02/4.64 (((!!) @ (^[Y2 : a]: 32.02/4.64 ((((('#sk5' @ Y0 @ Y1) & 32.02/4.64 ('#sk5' @ Y1 @ Y2))) => 32.02/4.64 ('#sk5' @ Y0 @ Y2)))))))))))))) => 32.02/4.64 ('#sk5' @ '#sk3' @ '#sk4'))) 32.02/4.64 | ~ ('#form19'))), 32.02/4.64 inference('triggered_bool_instantiation', [status(thm)], 32.02/4.64 [zip_derived_cl38])). 32.02/4.64 thf(zip_derived_cl6, plain, 32.02/4.64 (~ (((!!) @ (^[Y0 : a > a > $o]: 32.02/4.64 (((((((!!) @ (^[Y1 : a]: 32.02/4.64 (((!!) @ (^[Y2 : a]: 32.02/4.64 ((((('#sk2' @ Y1 @ Y2) | 32.02/4.64 ('#sk1' @ Y1 @ Y2))) => 32.02/4.64 (Y0 @ Y1 @ Y2))))))))) & 32.02/4.64 (((!!) @ (^[Y1 : a]: 32.02/4.64 (((!!) @ (^[Y2 : a]: 32.02/4.64 (((!!) @ (^[Y3 : a]: 32.02/4.64 (((((Y0 @ Y1 @ 32.02/4.64 Y2) & (Y0 @ 32.02/4.64 Y2 @ Y3))) => 32.02/4.64 (Y0 @ Y1 @ Y3)))))))))))))) => 32.02/4.64 (Y0 @ '#sk3' @ '#sk4'))))))), 32.02/4.64 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl4])). 32.02/4.64 thf(zip_derived_cl8, plain, 32.02/4.64 (~ (((((((!!) @ (^[Y0 : a]: 32.02/4.64 (((!!) @ (^[Y1 : a]: 32.02/4.64 ((((('#sk2' @ Y0 @ Y1) | ('#sk1' @ Y0 @ 32.02/4.64 Y1))) => 32.02/4.64 ('#sk5' @ Y0 @ Y1))))))))) & 32.02/4.64 (((!!) @ (^[Y0 : a]: 32.02/4.64 (((!!) @ (^[Y1 : a]: 32.02/4.64 (((!!) @ (^[Y2 : a]: 32.02/4.64 ((((('#sk5' @ Y0 @ Y1) & 32.02/4.64 ('#sk5' @ Y1 @ Y2))) => 32.02/4.64 ('#sk5' @ Y0 @ Y2)))))))))))))) => 32.02/4.64 ('#sk5' @ '#sk3' @ '#sk4')))), 32.02/4.64 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl6])). 32.02/4.64 thf(zip_derived_cl11, plain, (~ ('#sk5' @ '#sk3' @ '#sk4')), 32.02/4.64 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl8])). 32.02/4.64 thf(zip_derived_cl200, plain, 32.02/4.64 (( (((((((!!) @ (^[Y0 : a]: 32.02/4.64 (((!!) @ (^[Y1 : a]: 32.02/4.64 ((((('#sk2' @ Y0 @ Y1) | ('#sk1' @ Y0 @ 32.02/4.64 Y1))) => 32.02/4.64 ('#sk5' @ Y0 @ Y1))))))))) & 32.02/4.64 (((!!) @ (^[Y0 : a]: 32.02/4.64 (((!!) @ (^[Y1 : a]: 32.02/4.64 (((!!) @ (^[Y2 : a]: 32.02/4.64 ((((('#sk5' @ Y0 @ Y1) & 32.02/4.64 ('#sk5' @ Y1 @ Y2))) => 32.02/4.64 ('#sk5' @ Y0 @ Y2)))))))))))))) => 32.02/4.64 ($false))) 32.02/4.64 | ~ ('#form19'))), 32.02/4.64 inference('demod', [status(thm)], [zip_derived_cl40, zip_derived_cl11])). 32.02/4.64 thf(zip_derived_cl201, plain, 32.02/4.64 (( (((~) @ (((((!!) @ (^[Y0 : a]: 32.02/4.64 (((!!) @ (^[Y1 : a]: 32.02/4.64 ((((('#sk2' @ Y0 @ Y1) | ('#sk1' @ 32.02/4.64 Y0 @ Y1))) => 32.02/4.64 ('#sk5' @ Y0 @ Y1))))))))) & 32.02/4.64 (((!!) @ (^[Y0 : a]: 32.02/4.64 (((!!) @ (^[Y1 : a]: 32.02/4.64 (((!!) @ (^[Y2 : a]: 32.02/4.64 ((((('#sk5' @ Y0 @ Y1) & 32.02/4.64 ('#sk5' @ Y1 @ Y2))) => 32.02/4.64 ('#sk5' @ Y0 @ Y2)))))))))))))))) 32.02/4.64 | ~ ('#form19'))), 32.02/4.64 inference('simplify boolean subterms', [status(thm)], [zip_derived_cl200])). 32.02/4.64 thf(zip_derived_cl202, plain, 32.02/4.64 ((~ (((((!!) @ (^[Y0 : a]: 32.02/4.64 (((!!) @ (^[Y1 : a]: 32.02/4.64 ((((('#sk2' @ Y0 @ Y1) | ('#sk1' @ Y0 @ Y1))) => 32.02/4.64 ('#sk5' @ Y0 @ Y1))))))))) & 32.02/4.64 (((!!) @ (^[Y0 : a]: 32.02/4.64 (((!!) @ (^[Y1 : a]: 32.02/4.64 (((!!) @ (^[Y2 : a]: 32.02/4.64 ((((('#sk5' @ Y0 @ Y1) & 32.02/4.64 ('#sk5' @ Y1 @ Y2))) => 32.02/4.64 ('#sk5' @ Y0 @ Y2)))))))))))))) 32.02/4.64 | ~ ('#form19'))), 32.02/4.64 inference('simplify nested equalities', [status(thm)], 32.02/4.64 [zip_derived_cl201])). 32.02/4.64 thf(zip_derived_cl203, plain, 32.02/4.64 ((~ (((!!) @ (^[Y0 : a]: 32.02/4.64 (((!!) @ (^[Y1 : a]: 32.02/4.64 ((((('#sk2' @ Y0 @ Y1) | ('#sk1' @ Y0 @ Y1))) => 32.02/4.64 ('#sk5' @ Y0 @ Y1))))))))) 32.02/4.64 | ~ (((!!) @ (^[Y0 : a]: 32.02/4.64 (((!!) @ (^[Y1 : a]: 32.02/4.64 (((!!) @ (^[Y2 : a]: 32.02/4.64 ((((('#sk5' @ Y0 @ Y1) & 32.02/4.64 ('#sk5' @ Y1 @ Y2))) => 32.02/4.64 ('#sk5' @ Y0 @ Y2)))))))))))) 32.02/4.64 | ~ ('#form19'))), 32.02/4.64 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl202])). 32.02/4.64 thf(zip_derived_cl77, plain, 32.02/4.64 (![X2 : a > a > $o]: 32.02/4.64 ( ('#form105' @ X2) 32.02/4.64 | ~ (((!!) @ (^[Y0 : a]: 32.02/4.64 (((!!) @ (^[Y1 : a]: 32.02/4.64 (((!!) @ (^[Y2 : a]: 32.02/4.64 (((((X2 @ Y0 @ Y1) & (X2 @ 32.02/4.64 Y1 @ Y2))) => 32.02/4.64 (X2 @ Y0 @ Y2)))))))))))))), 32.02/4.64 define([status(thm)])). 32.02/4.64 thf(zip_derived_cl204, plain, 32.02/4.64 ((~ ('#form105' @ '#sk5') 32.02/4.64 | ~ ('#form19') 32.02/4.64 | ~ (((!!) @ (^[Y0 : a]: 32.02/4.64 (((!!) @ (^[Y1 : a]: 32.02/4.64 ((((('#sk2' @ Y0 @ Y1) | ('#sk1' @ Y0 @ Y1))) => 32.02/4.64 ('#sk5' @ Y0 @ Y1))))))))))), 32.02/4.64 inference('renaming', [status(thm)], 32.02/4.64 [zip_derived_cl203, zip_derived_cl77])). 32.02/4.64 thf(zip_derived_cl205, plain, 32.02/4.64 ((~ (((!!) @ (^[Y0 : a]: 32.02/4.64 ((((('#sk2' @ ('#sk87' @ '#sk5') @ Y0) | ('#sk1' @ 32.02/4.64 ('#sk87' @ '#sk5') @ Y0))) => 32.02/4.64 ('#sk5' @ ('#sk87' @ '#sk5') @ Y0)))))) 32.02/4.64 | ~ ('#form19') 32.02/4.64 | ~ ('#form105' @ '#sk5'))), 32.02/4.64 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl204])). 32.02/4.64 thf(zip_derived_cl63, plain, 32.02/4.64 (( (((((!!) @ (^[Y0 : a > a > $o]: 32.02/4.64 (((((((!!) @ (^[Y1 : a]: 32.02/4.64 (((!!) @ (^[Y2 : a]: 32.02/4.64 (((!!) @ (^[Y3 : a]: 32.02/4.64 (((((Y0 @ Y1 @ 32.02/4.64 Y2) & (Y0 @ 32.02/4.64 Y2 @ Y3))) => 32.02/4.64 (Y0 @ Y1 @ Y3)))))))))))) & 32.02/4.64 (((!!) @ (^[Y1 : a]: 32.02/4.64 (((!!) @ (^[Y2 : a]: 32.02/4.64 ((((('#sk2' @ Y1 @ Y2) | 32.02/4.64 ('#sk1' @ Y1 @ Y2))) => 32.02/4.64 (Y0 @ Y1 @ Y2))))))))))) => 32.02/4.64 (Y0 @ '#sk10' @ '#sk20')))))) & 32.02/4.64 (((!!) @ (^[Y0 : a > a > $o]: 32.02/4.64 (((((((!!) @ (^[Y1 : a]: 32.02/4.64 (((!!) @ (^[Y2 : a]: 32.02/4.64 ((((('#sk2' @ Y1 @ Y2) | 32.02/4.64 ('#sk1' @ Y1 @ Y2))) => 32.02/4.64 (Y0 @ Y1 @ Y2))))))))) & 32.02/4.64 (((!!) @ (^[Y1 : a]: 32.02/4.64 (((!!) @ (^[Y2 : a]: 32.02/4.64 (((!!) @ (^[Y3 : a]: 32.02/4.64 (((((Y0 @ Y1 @ 32.02/4.64 Y2) & (Y0 @ 32.02/4.64 Y2 @ Y3))) => 32.02/4.64 (Y0 @ Y1 @ Y3)))))))))))))) => 32.02/4.64 (Y0 @ '#sk20' @ '#sk38')))))))) 32.02/4.64 | ('#form9'))), 32.02/4.64 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl57])). 32.02/4.64 thf(zip_derived_cl70, plain, 32.02/4.64 (( (((!!) @ (^[Y0 : a > a > $o]: 32.02/4.64 (((((((!!) @ (^[Y1 : a]: 32.02/4.64 (((!!) @ (^[Y2 : a]: 32.02/4.64 (((!!) @ (^[Y3 : a]: 32.02/4.64 (((((Y0 @ Y1 @ 32.02/4.64 Y2) & (Y0 @ 32.02/4.64 Y2 @ Y3))) => 32.02/4.64 (Y0 @ Y1 @ Y3)))))))))))) & 32.02/4.64 (((!!) @ (^[Y1 : a]: 32.02/4.64 (((!!) @ (^[Y2 : a]: 32.02/4.64 ((((('#sk2' @ Y1 @ Y2) | 32.02/4.64 ('#sk1' @ Y1 @ Y2))) => 32.02/4.64 (Y0 @ Y1 @ Y2))))))))))) => 32.02/4.64 (Y0 @ '#sk10' @ '#sk20')))))) 32.02/4.64 | ('#form9'))), 32.02/4.64 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl63])). 32.02/4.64 thf(zip_derived_cl83, plain, 32.02/4.64 (![X2 : a > a > $o]: 32.02/4.64 ( (((((((!!) @ (^[Y0 : a]: 32.02/4.64 (((!!) @ (^[Y1 : a]: 32.02/4.64 (((!!) @ (^[Y2 : a]: 32.02/4.64 (((((X2 @ Y0 @ Y1) & (X2 @ 32.02/4.64 Y1 @ Y2))) => 32.02/4.64 (X2 @ Y0 @ Y2)))))))))))) & 32.02/4.64 (((!!) @ (^[Y0 : a]: 32.02/4.64 (((!!) @ (^[Y1 : a]: 32.02/4.64 ((((('#sk2' @ Y0 @ Y1) | ('#sk1' @ Y0 @ 32.02/4.64 Y1))) => 32.02/4.64 (X2 @ Y0 @ Y1))))))))))) => 32.02/4.64 (X2 @ '#sk10' @ '#sk20'))) 32.02/4.64 | ('#form9'))), 32.02/4.64 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl70])). 32.02/4.64 thf(zip_derived_cl104, plain, 32.02/4.64 (![X2 : a > a > $o]: 32.02/4.64 (~ (((((!!) @ (^[Y0 : a]: 32.02/4.64 (((!!) @ (^[Y1 : a]: 32.02/4.64 (((!!) @ (^[Y2 : a]: 32.02/4.64 (((((X2 @ Y0 @ Y1) & (X2 @ 32.02/4.64 Y1 @ Y2))) => 32.02/4.64 (X2 @ Y0 @ Y2)))))))))))) & 32.02/4.64 (((!!) @ (^[Y0 : a]: 32.02/4.64 (((!!) @ (^[Y1 : a]: 32.02/4.64 ((((('#sk2' @ Y0 @ Y1) | ('#sk1' @ Y0 @ 32.02/4.64 Y1))) => 32.02/4.64 (X2 @ Y0 @ Y1))))))))))) 32.02/4.64 | (X2 @ '#sk10' @ '#sk20') 32.02/4.64 | ('#form9'))), 32.02/4.64 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl83])). 32.02/4.64 thf(zip_derived_cl117, plain, 32.02/4.64 (![X2 : a > a > $o]: 32.02/4.64 (~ (((!!) @ (^[Y0 : a]: 32.02/4.64 (((!!) @ (^[Y1 : a]: 32.02/4.64 (((!!) @ (^[Y2 : a]: 32.02/4.64 (((((X2 @ Y0 @ Y1) & (X2 @ 32.02/4.64 Y1 @ Y2))) => 32.02/4.64 (X2 @ Y0 @ Y2)))))))))))) 32.02/4.64 | ~ (((!!) @ (^[Y0 : a]: 32.02/4.64 (((!!) @ (^[Y1 : a]: 32.02/4.64 ((((('#sk2' @ Y0 @ Y1) | ('#sk1' @ Y0 @ 32.02/4.64 Y1))) => 32.02/4.64 (X2 @ Y0 @ Y1))))))))) 32.02/4.64 | ('#form9') 32.02/4.64 | (X2 @ '#sk10' @ '#sk20'))), 32.02/4.64 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl104])). 32.02/4.64 thf(zip_derived_cl77, plain, 32.02/4.64 (![X2 : a > a > $o]: 32.02/4.64 ( ('#form105' @ X2) 32.02/4.64 | ~ (((!!) @ (^[Y0 : a]: 32.02/4.64 (((!!) @ (^[Y1 : a]: 32.02/4.64 (((!!) @ (^[Y2 : a]: 32.02/4.64 (((((X2 @ Y0 @ Y1) & (X2 @ 32.02/4.64 Y1 @ Y2))) => 32.02/4.64 (X2 @ Y0 @ Y2)))))))))))))), 32.02/4.64 define([status(thm)])). 32.02/4.64 thf(zip_derived_cl128, plain, 32.02/4.64 (![X2 : a > a > $o]: 32.02/4.64 (~ ('#form105' @ (^[Y0 : a,Y1 : a]: (X2 @ Y0 @ Y1))) 32.02/4.64 | (X2 @ '#sk10' @ '#sk20') 32.02/4.64 | ('#form9') 32.02/4.64 | ~ (((!!) @ (^[Y0 : a]: 32.02/4.64 (((!!) @ (^[Y1 : a]: 32.02/4.64 ((((('#sk2' @ Y0 @ Y1) | ('#sk1' @ Y0 @ 32.02/4.64 Y1))) => 32.02/4.64 (X2 @ Y0 @ Y1))))))))))), 32.02/4.64 inference('renaming', [status(thm)], 32.02/4.64 [zip_derived_cl117, zip_derived_cl77])). 32.02/4.64 thf(zip_derived_cl136, plain, 32.02/4.64 (![X2 : a > a > $o]: 32.02/4.64 (~ ('#form105' @ X2) 32.02/4.64 | (X2 @ '#sk10' @ '#sk20') 32.02/4.64 | ('#form9') 32.02/4.64 | ~ (((!!) @ (^[Y0 : a]: 32.02/4.64 (((!!) @ (^[Y1 : a]: 32.02/4.64 ((((('#sk2' @ Y0 @ Y1) | ('#sk1' @ Y0 @ 32.02/4.64 Y1))) => 32.02/4.64 (X2 @ Y0 @ Y1))))))))))), 32.02/4.64 inference('ho_norm', [status(thm)], [zip_derived_cl128])). 32.02/4.64 thf(zip_derived_cl137, plain, 32.02/4.64 (![X2 : a > a > $o]: 32.02/4.64 (~ (((!!) @ (^[Y0 : a]: 32.02/4.64 ((((('#sk2' @ ('#sk87' @ X2) @ Y0) | ('#sk1' @ 32.02/4.64 ('#sk87' @ X2) @ Y0))) => 32.02/4.64 (X2 @ ('#sk87' @ X2) @ Y0)))))) 32.02/4.64 | ('#form9') 32.02/4.64 | (X2 @ '#sk10' @ '#sk20') 32.02/4.64 | ~ ('#form105' @ X2))), 32.02/4.64 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl136])). 32.02/4.64 thf(zip_derived_cl142, plain, 32.02/4.64 (![X2 : a > a > $o]: 32.02/4.64 ( ('#form400' @ X2) 32.02/4.64 | ~ (((!!) @ (^[Y0 : a]: 32.02/4.64 ((((('#sk2' @ ('#sk87' @ X2) @ Y0) | ('#sk1' @ 32.02/4.64 ('#sk87' @ X2) @ Y0))) => 32.02/4.64 (X2 @ ('#sk87' @ X2) @ Y0)))))))), 32.02/4.64 define([status(thm)])). 32.02/4.64 thf(zip_derived_cl206, plain, 32.02/4.64 ((~ ('#form400' @ '#sk5') | ~ ('#form105' @ '#sk5') | ~ ('#form19'))), 32.02/4.64 inference('renaming', [status(thm)], 32.02/4.64 [zip_derived_cl205, zip_derived_cl142])). 32.02/4.64 thf(zip_derived_cl11, plain, (~ ('#sk5' @ '#sk3' @ '#sk4')), 32.02/4.64 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl8])). 32.02/4.64 thf(zip_derived_cl71, plain, 32.02/4.64 (( (((!!) @ (^[Y0 : a > a > $o]: 32.02/4.64 (((((((!!) @ (^[Y1 : a]: 32.02/4.64 (((!!) @ (^[Y2 : a]: 32.02/4.64 ((((('#sk2' @ Y1 @ Y2) | 32.02/4.64 ('#sk1' @ Y1 @ Y2))) => 32.02/4.64 (Y0 @ Y1 @ Y2))))))))) & 32.02/4.64 (((!!) @ (^[Y1 : a]: 32.02/4.64 (((!!) @ (^[Y2 : a]: 32.02/4.64 (((!!) @ (^[Y3 : a]: 32.02/4.64 (((((Y0 @ Y1 @ 32.02/4.64 Y2) & (Y0 @ 32.02/4.64 Y2 @ Y3))) => 32.02/4.64 (Y0 @ Y1 @ Y3)))))))))))))) => 32.02/4.64 (Y0 @ '#sk20' @ '#sk38')))))) 32.02/4.64 | ('#form9'))), 32.02/4.64 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl63])). 32.02/4.64 thf(zip_derived_cl89, plain, 32.02/4.64 (![X2 : a > a > $o]: 32.02/4.64 ( (((((((!!) @ (^[Y0 : a]: 32.02/4.64 (((!!) @ (^[Y1 : a]: 32.02/4.64 ((((('#sk2' @ Y0 @ Y1) | ('#sk1' @ Y0 @ 32.02/4.64 Y1))) => 32.02/4.64 (X2 @ Y0 @ Y1))))))))) & 32.02/4.64 (((!!) @ (^[Y0 : a]: 32.02/4.64 (((!!) @ (^[Y1 : a]: 32.02/4.64 (((!!) @ (^[Y2 : a]: 32.02/4.64 (((((X2 @ Y0 @ Y1) & (X2 @ 32.02/4.64 Y1 @ Y2))) => 32.02/4.64 (X2 @ Y0 @ Y2)))))))))))))) => 32.02/4.64 (X2 @ '#sk20' @ '#sk38'))) 32.02/4.64 | ('#form9'))), 32.02/4.64 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl71])). 32.02/4.64 thf(zip_derived_cl90, plain, 32.02/4.64 (( (((((((!!) @ (^[Y0 : a]: 32.02/4.64 (((!!) @ (^[Y1 : a]: 32.02/4.64 ((((('#sk2' @ Y0 @ Y1) | ('#sk1' @ Y0 @ 32.02/4.64 Y1))) => 32.02/4.64 ('#sk88' @ Y0 @ Y1))))))))) & 32.02/4.64 (((!!) @ (^[Y0 : a]: 32.02/4.64 (((!!) @ (^[Y1 : a]: 32.02/4.64 (((!!) @ (^[Y2 : a]: 32.02/4.64 ((((('#sk88' @ Y0 @ Y1) & 32.02/4.64 ('#sk88' @ Y1 @ Y2))) => 32.02/4.64 ('#sk88' @ Y0 @ Y2)))))))))))))) => 32.02/4.64 ('#sk88' @ '#sk20' @ '#sk38'))) 32.02/4.64 | ('#form9'))), 32.02/4.64 inference('triggered_bool_instantiation', [status(thm)], 32.02/4.64 [zip_derived_cl89])). 32.02/4.64 thf(zip_derived_cl284, plain, 32.02/4.64 ((~ (((((!!) @ (^[Y0 : a]: 32.02/4.64 (((!!) @ (^[Y1 : a]: 32.02/4.64 ((((('#sk2' @ Y0 @ Y1) | ('#sk1' @ Y0 @ Y1))) => 32.02/4.64 ('#sk88' @ Y0 @ Y1))))))))) & 32.02/4.64 (((!!) @ (^[Y0 : a]: 32.02/4.64 (((!!) @ (^[Y1 : a]: 32.02/4.64 (((!!) @ (^[Y2 : a]: 32.02/4.64 ((((('#sk88' @ Y0 @ Y1) & 32.02/4.64 ('#sk88' @ Y1 @ Y2))) => 32.02/4.64 ('#sk88' @ Y0 @ Y2)))))))))))))) 32.02/4.64 | ('#sk88' @ '#sk20' @ '#sk38') 32.02/4.64 | ('#form9'))), 32.02/4.64 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl90])). 32.02/4.64 thf(zip_derived_cl285, plain, 32.02/4.64 ((~ (((!!) @ (^[Y0 : a]: 32.02/4.64 (((!!) @ (^[Y1 : a]: 32.02/4.64 ((((('#sk2' @ Y0 @ Y1) | ('#sk1' @ Y0 @ Y1))) => 32.02/4.64 ('#sk88' @ Y0 @ Y1))))))))) 32.02/4.64 | ~ (((!!) @ (^[Y0 : a]: 32.02/4.64 (((!!) @ (^[Y1 : a]: 32.02/4.64 (((!!) @ (^[Y2 : a]: 32.02/4.64 ((((('#sk88' @ Y0 @ Y1) & 32.02/4.64 ('#sk88' @ Y1 @ Y2))) => 32.02/4.64 ('#sk88' @ Y0 @ Y2)))))))))))) 32.02/4.64 | ('#form9') 32.02/4.64 | ('#sk88' @ '#sk20' @ '#sk38'))), 32.02/4.64 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl284])). 32.02/4.64 thf(zip_derived_cl286, plain, 32.02/4.64 (( ('#form540') 32.02/4.64 | ~ (((!!) @ (^[Y0 : a]: 32.02/4.64 (((!!) @ (^[Y1 : a]: 32.02/4.64 ((((('#sk2' @ Y0 @ Y1) | ('#sk1' @ Y0 @ Y1))) => 32.02/4.64 ('#sk88' @ Y0 @ Y1))))))))))), 32.02/4.64 define([status(thm)])). 32.02/4.64 thf(zip_derived_cl287, plain, 32.02/4.64 ((~ (((!!) @ (^[Y0 : a]: 32.02/4.64 ((((('#sk2' @ ('#sk87' @ '#sk88') @ Y0) | ('#sk1' @ 32.02/4.64 ('#sk87' @ '#sk88') @ Y0))) => 32.02/4.64 ('#sk88' @ ('#sk87' @ '#sk88') @ Y0)))))) 32.02/4.64 | ('#form540'))), 32.02/4.64 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl286])). 32.02/4.64 thf(zip_derived_cl290, plain, 32.02/4.64 ((~ ((((('#sk2' @ ('#sk87' @ '#sk88') @ ('#sk162' @ '#sk88')) | 32.02/4.64 ('#sk1' @ ('#sk87' @ '#sk88') @ ('#sk162' @ '#sk88')))) => 32.02/4.64 ('#sk88' @ ('#sk87' @ '#sk88') @ ('#sk162' @ '#sk88')))) 32.02/4.64 | ('#form540'))), 32.02/4.64 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl287])). 32.02/4.64 thf(zip_derived_cl291, plain, 32.02/4.64 (( ((('#sk2' @ ('#sk87' @ '#sk88') @ ('#sk162' @ '#sk88')) | ('#sk1' @ 32.02/4.64 ('#sk87' @ '#sk88') @ ('#sk162' @ '#sk88')))) 32.02/4.64 | ('#form540'))), 32.02/4.64 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl290])). 32.02/4.64 thf(zip_derived_cl293, plain, 32.02/4.64 (( ('#sk2' @ ('#sk87' @ '#sk88') @ ('#sk162' @ '#sk88')) 32.02/4.64 | ('#sk1' @ ('#sk87' @ '#sk88') @ ('#sk162' @ '#sk88')) 32.02/4.64 | ('#form540'))), 32.02/4.64 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl291])). 32.02/4.64 thf(zip_derived_cl285, plain, 32.02/4.64 ((~ (((!!) @ (^[Y0 : a]: 32.02/4.64 (((!!) @ (^[Y1 : a]: 32.02/4.64 ((((('#sk2' @ Y0 @ Y1) | ('#sk1' @ Y0 @ Y1))) => 32.02/4.64 ('#sk88' @ Y0 @ Y1))))))))) 32.02/4.64 | ~ (((!!) @ (^[Y0 : a]: 32.02/4.64 (((!!) @ (^[Y1 : a]: 32.02/4.64 (((!!) @ (^[Y2 : a]: 32.02/4.64 ((((('#sk88' @ Y0 @ Y1) & 32.02/4.64 ('#sk88' @ Y1 @ Y2))) => 32.02/4.64 ('#sk88' @ Y0 @ Y2)))))))))))) 32.02/4.64 | ('#form9') 32.02/4.64 | ('#sk88' @ '#sk20' @ '#sk38'))), 32.02/4.64 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl284])). 32.02/4.64 thf(zip_derived_cl286, plain, 32.02/4.64 (( ('#form540') 32.02/4.64 | ~ (((!!) @ (^[Y0 : a]: 32.02/4.64 (((!!) @ (^[Y1 : a]: 32.02/4.64 ((((('#sk2' @ Y0 @ Y1) | ('#sk1' @ Y0 @ Y1))) => 32.02/4.64 ('#sk88' @ Y0 @ Y1))))))))))), 32.02/4.64 define([status(thm)])). 32.02/4.64 thf(zip_derived_cl288, plain, 32.02/4.64 ((~ ('#form540') 32.02/4.64 | ('#sk88' @ '#sk20' @ '#sk38') 32.02/4.64 | ('#form9') 32.02/4.64 | ~ (((!!) @ (^[Y0 : a]: 32.02/4.64 (((!!) @ (^[Y1 : a]: 32.02/4.64 (((!!) @ (^[Y2 : a]: 32.02/4.64 ((((('#sk88' @ Y0 @ Y1) & 32.02/4.64 ('#sk88' @ Y1 @ Y2))) => 32.02/4.64 ('#sk88' @ Y0 @ Y2)))))))))))))), 32.02/4.64 inference('renaming', [status(thm)], 32.02/4.64 [zip_derived_cl285, zip_derived_cl286])). 32.02/4.64 thf(zip_derived_cl77, plain, 32.02/4.64 (![X2 : a > a > $o]: 32.02/4.64 ( ('#form105' @ X2) 32.02/4.64 | ~ (((!!) @ (^[Y0 : a]: 32.02/4.64 (((!!) @ (^[Y1 : a]: 32.02/4.64 (((!!) @ (^[Y2 : a]: 32.02/4.64 (((((X2 @ Y0 @ Y1) & (X2 @ 32.02/4.64 Y1 @ Y2))) => 32.02/4.64 (X2 @ Y0 @ Y2)))))))))))))), 32.02/4.64 define([status(thm)])). 32.02/4.64 thf(zip_derived_cl289, plain, 32.02/4.64 ((~ ('#form105' @ '#sk88') 32.02/4.64 | ('#form9') 32.02/4.64 | ('#sk88' @ '#sk20' @ '#sk38') 32.02/4.64 | ~ ('#form540'))), 32.02/4.64 inference('renaming', [status(thm)], 32.02/4.64 [zip_derived_cl288, zip_derived_cl77])). 32.02/4.64 thf(zip_derived_cl10, plain, 32.02/4.64 ( (((((!!) @ (^[Y0 : a]: 32.02/4.64 (((!!) @ (^[Y1 : a]: 32.02/4.64 ((((('#sk2' @ Y0 @ Y1) | ('#sk1' @ Y0 @ Y1))) => 32.02/4.64 ('#sk5' @ Y0 @ Y1))))))))) & 32.02/4.64 (((!!) @ (^[Y0 : a]: 32.02/4.64 (((!!) @ (^[Y1 : a]: 32.02/4.64 (((!!) @ (^[Y2 : a]: 32.02/4.64 ((((('#sk5' @ Y0 @ Y1) & 32.02/4.64 ('#sk5' @ Y1 @ Y2))) => 32.02/4.64 ('#sk5' @ Y0 @ Y2))))))))))))))), 32.02/4.64 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl8])). 32.02/4.64 thf(zip_derived_cl13, plain, 32.02/4.64 ( (((!!) @ (^[Y0 : a]: 32.02/4.64 (((!!) @ (^[Y1 : a]: 32.02/4.64 ((((('#sk2' @ Y0 @ Y1) | ('#sk1' @ Y0 @ Y1))) => 32.02/4.64 ('#sk5' @ Y0 @ Y1)))))))))), 32.02/4.64 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl10])). 32.02/4.64 thf(zip_derived_cl16, plain, 32.02/4.64 (![X2 : a]: 32.02/4.64 (((!!) @ (^[Y0 : a]: 32.02/4.64 ((((('#sk2' @ X2 @ Y0) | ('#sk1' @ X2 @ Y0))) => 32.02/4.64 ('#sk5' @ X2 @ Y0))))))), 32.02/4.64 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl13])). 32.02/4.64 thf(zip_derived_cl20, plain, 32.02/4.64 (![X2 : a, X4 : a]: 32.02/4.64 ((((('#sk2' @ X2 @ X4) | ('#sk1' @ X2 @ X4))) => ('#sk5' @ X2 @ X4)))), 32.02/4.64 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl16])). 32.02/4.64 thf(zip_derived_cl24, plain, 32.02/4.64 (![X2 : a, X4 : a]: 32.02/4.64 (~ ((('#sk2' @ X2 @ X4) | ('#sk1' @ X2 @ X4))) | ('#sk5' @ X2 @ X4))), 32.02/4.64 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl20])). 32.02/4.64 thf(zip_derived_cl35, plain, 32.02/4.64 (![X2 : a, X4 : a]: (~ ('#sk1' @ X2 @ X4) | ('#sk5' @ X2 @ X4))), 32.02/4.64 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl24])). 32.02/4.64 thf(zip_derived_cl34, plain, 32.02/4.64 (![X2 : a, X4 : a]: (~ ('#sk2' @ X2 @ X4) | ('#sk5' @ X2 @ X4))), 32.02/4.64 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl24])). 32.02/4.64 thf(zip_derived_cl38, plain, 32.02/4.64 (![X2 : a > a > $o]: 32.02/4.64 ( (((((((!!) @ (^[Y0 : a]: 32.02/4.64 (((!!) @ (^[Y1 : a]: 32.02/4.64 ((((('#sk2' @ Y0 @ Y1) | ('#sk1' @ Y0 @ 32.02/4.64 Y1))) => 32.02/4.64 (X2 @ Y0 @ Y1))))))))) & 32.02/4.64 (((!!) @ (^[Y0 : a]: 32.02/4.64 (((!!) @ (^[Y1 : a]: 32.02/4.64 (((!!) @ (^[Y2 : a]: 32.02/4.64 (((((X2 @ Y0 @ Y1) & (X2 @ 32.02/4.64 Y1 @ Y2))) => 32.02/4.64 (X2 @ Y0 @ Y2)))))))))))))) => 32.02/4.64 (X2 @ '#sk3' @ '#sk4'))) 32.02/4.64 | ~ ('#form19'))), 32.02/4.64 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl37])). 32.02/4.64 thf(zip_derived_cl54, plain, 32.02/4.64 (![X2 : a > a > $o]: 32.02/4.64 (~ (((((!!) @ (^[Y0 : a]: 32.02/4.64 (((!!) @ (^[Y1 : a]: 32.02/4.64 ((((('#sk2' @ Y0 @ Y1) | ('#sk1' @ Y0 @ 32.02/4.64 Y1))) => 32.02/4.64 (X2 @ Y0 @ Y1))))))))) & 32.02/4.64 (((!!) @ (^[Y0 : a]: 32.02/4.64 (((!!) @ (^[Y1 : a]: 32.02/4.64 (((!!) @ (^[Y2 : a]: 32.02/4.64 (((((X2 @ Y0 @ Y1) & (X2 @ 32.02/4.64 Y1 @ Y2))) => 32.02/4.64 (X2 @ Y0 @ Y2)))))))))))))) 32.02/4.64 | (X2 @ '#sk3' @ '#sk4') 32.02/4.64 | ~ ('#form19'))), 32.02/4.64 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl38])). 32.02/4.64 thf(zip_derived_cl60, plain, 32.02/4.64 (![X2 : a > a > $o]: 32.02/4.64 (~ (((!!) @ (^[Y0 : a]: 32.02/4.64 (((!!) @ (^[Y1 : a]: 32.02/4.64 ((((('#sk2' @ Y0 @ Y1) | ('#sk1' @ Y0 @ Y1))) => 32.02/4.64 (X2 @ Y0 @ Y1))))))))) 32.02/4.64 | ~ (((!!) @ (^[Y0 : a]: 32.02/4.64 (((!!) @ (^[Y1 : a]: 32.02/4.64 (((!!) @ (^[Y2 : a]: 32.02/4.64 (((((X2 @ Y0 @ Y1) & (X2 @ 32.02/4.64 Y1 @ Y2))) => 32.02/4.64 (X2 @ Y0 @ Y2)))))))))))) 32.02/4.64 | ~ ('#form19') 32.02/4.64 | (X2 @ '#sk3' @ '#sk4'))), 32.02/4.64 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl54])). 32.02/4.64 thf(zip_derived_cl67, plain, 32.02/4.64 (![X2 : a > a > $o]: 32.02/4.64 (~ (((!!) @ (^[Y0 : a]: 32.02/4.64 ((((('#sk2' @ ('#sk87' @ X2) @ Y0) | ('#sk1' @ 32.02/4.64 ('#sk87' @ X2) @ Y0))) => 32.02/4.64 (X2 @ ('#sk87' @ X2) @ Y0)))))) 32.02/4.64 | (X2 @ '#sk3' @ '#sk4') 32.02/4.64 | ~ ('#form19') 32.02/4.64 | ~ (((!!) @ (^[Y0 : a]: 32.02/4.64 (((!!) @ (^[Y1 : a]: 32.02/4.64 (((!!) @ (^[Y2 : a]: 32.02/4.64 (((((X2 @ Y0 @ Y1) & (X2 @ 32.02/4.64 Y1 @ Y2))) => 32.02/4.64 (X2 @ Y0 @ Y2)))))))))))))), 32.02/4.64 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl60])). 32.02/4.64 thf(zip_derived_cl77, plain, 32.02/4.64 (![X2 : a > a > $o]: 32.02/4.64 ( ('#form105' @ X2) 32.02/4.64 | ~ (((!!) @ (^[Y0 : a]: 32.02/4.64 (((!!) @ (^[Y1 : a]: 32.02/4.64 (((!!) @ (^[Y2 : a]: 32.02/4.64 (((((X2 @ Y0 @ Y1) & (X2 @ 32.02/4.64 Y1 @ Y2))) => 32.02/4.64 (X2 @ Y0 @ Y2)))))))))))))), 32.02/4.64 define([status(thm)])). 32.02/4.64 thf(zip_derived_cl80, plain, 32.02/4.64 (![X2 : a > a > $o]: 32.02/4.64 (~ ('#form105' @ (^[Y0 : a,Y1 : a]: (X2 @ Y0 @ Y1))) 32.02/4.64 | ~ ('#form19') 32.02/4.64 | (X2 @ '#sk3' @ '#sk4') 32.02/4.64 | ~ (((!!) @ (^[Y0 : a]: 32.02/4.64 ((((('#sk2' @ ('#sk87' @ X2) @ Y0) | ('#sk1' @ 32.02/4.64 ('#sk87' @ X2) @ Y0))) => 32.02/4.64 (X2 @ ('#sk87' @ X2) @ Y0)))))))), 32.02/4.64 inference('renaming', [status(thm)], [zip_derived_cl67, zip_derived_cl77])). 32.02/4.64 thf(zip_derived_cl100, plain, 32.02/4.64 (![X2 : a > a > $o]: 32.02/4.64 (~ ('#form105' @ X2) 32.02/4.64 | ~ ('#form19') 32.02/4.64 | (X2 @ '#sk3' @ '#sk4') 32.02/4.64 | ~ (((!!) @ (^[Y0 : a]: 32.02/4.64 ((((('#sk2' @ ('#sk87' @ X2) @ Y0) | ('#sk1' @ 32.02/4.64 ('#sk87' @ X2) @ Y0))) => 32.02/4.64 (X2 @ ('#sk87' @ X2) @ Y0)))))))), 32.02/4.64 inference('ho_norm', [status(thm)], [zip_derived_cl80])). 32.02/4.64 thf(zip_derived_cl101, plain, 32.02/4.64 (![X2 : a > a > $o]: 32.02/4.64 (~ ((((('#sk2' @ ('#sk87' @ X2) @ ('#sk162' @ X2)) | ('#sk1' @ 32.02/4.64 ('#sk87' @ X2) @ ('#sk162' @ X2)))) => 32.02/4.64 (X2 @ ('#sk87' @ X2) @ ('#sk162' @ X2)))) 32.02/4.64 | (X2 @ '#sk3' @ '#sk4') 32.02/4.64 | ~ ('#form19') 32.02/4.64 | ~ ('#form105' @ X2))), 32.02/4.64 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl100])). 32.02/4.64 thf(zip_derived_cl113, plain, 32.02/4.64 (![X2 : a > a > $o]: 32.02/4.64 (~ (X2 @ ('#sk87' @ X2) @ ('#sk162' @ X2)) 32.02/4.64 | ~ ('#form105' @ X2) 32.02/4.64 | ~ ('#form19') 32.02/4.64 | (X2 @ '#sk3' @ '#sk4'))), 32.02/4.64 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl101])). 32.02/4.64 thf(zip_derived_cl142, plain, 32.02/4.64 (![X2 : a > a > $o]: 32.02/4.64 ( ('#form400' @ X2) 32.02/4.64 | ~ (((!!) @ (^[Y0 : a]: 32.02/4.64 ((((('#sk2' @ ('#sk87' @ X2) @ Y0) | ('#sk1' @ 32.02/4.64 ('#sk87' @ X2) @ Y0))) => 32.02/4.64 (X2 @ ('#sk87' @ X2) @ Y0)))))))), 32.02/4.64 define([status(thm)])). 32.02/4.64 thf(zip_derived_cl143, plain, 32.02/4.64 (![X2 : a > a > $o]: 32.02/4.64 (~ ((((('#sk2' @ ('#sk87' @ X2) @ ('#sk162' @ X2)) | ('#sk1' @ 32.02/4.64 ('#sk87' @ X2) @ ('#sk162' @ X2)))) => 32.02/4.64 (X2 @ ('#sk87' @ X2) @ ('#sk162' @ X2)))) 32.02/4.64 | ('#form400' @ X2))), 32.02/4.64 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl142])). 32.02/4.64 thf(zip_derived_cl149, plain, 32.02/4.64 (![X2 : a > a > $o]: 32.02/4.64 ( ((('#sk2' @ ('#sk87' @ X2) @ ('#sk162' @ X2)) | ('#sk1' @ 32.02/4.64 ('#sk87' @ X2) @ ('#sk162' @ X2)))) 32.02/4.64 | ('#form400' @ X2))), 32.02/4.64 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl143])). 32.02/4.64 thf(zip_derived_cl152, plain, 32.02/4.64 (![X2 : a > a > $o]: 32.02/4.64 ( ('#sk2' @ ('#sk87' @ X2) @ ('#sk162' @ X2)) 32.02/4.64 | ('#sk1' @ ('#sk87' @ X2) @ ('#sk162' @ X2)) 32.02/4.64 | ('#form400' @ X2))), 32.02/4.64 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl149])). 32.02/4.64 thf(zip_derived_cl150, plain, 32.02/4.64 (![X2 : a > a > $o]: 32.02/4.64 (~ (X2 @ ('#sk87' @ X2) @ ('#sk162' @ X2)) | ('#form400' @ X2))), 32.02/4.64 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl143])). 32.02/4.64 thf(zip_derived_cl137, plain, 32.02/4.64 (![X2 : a > a > $o]: 32.02/4.64 (~ (((!!) @ (^[Y0 : a]: 32.02/4.64 ((((('#sk2' @ ('#sk87' @ X2) @ Y0) | ('#sk1' @ 32.02/4.64 ('#sk87' @ X2) @ Y0))) => 32.02/4.64 (X2 @ ('#sk87' @ X2) @ Y0)))))) 32.02/4.64 | ('#form9') 32.02/4.64 | (X2 @ '#sk10' @ '#sk20') 32.02/4.64 | ~ ('#form105' @ X2))), 32.02/4.64 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl136])). 32.02/4.64 thf(zip_derived_cl142, plain, 32.02/4.64 (![X2 : a > a > $o]: 32.02/4.64 ( ('#form400' @ X2) 32.02/4.64 | ~ (((!!) @ (^[Y0 : a]: 32.02/4.64 ((((('#sk2' @ ('#sk87' @ X2) @ Y0) | ('#sk1' @ 32.02/4.64 ('#sk87' @ X2) @ Y0))) => 32.02/4.64 (X2 @ ('#sk87' @ X2) @ Y0)))))))), 32.02/4.64 define([status(thm)])). 32.02/4.64 thf(zip_derived_cl144, plain, 32.02/4.64 (![X2 : a > a > $o]: 32.02/4.64 (~ ('#form400' @ X2) 32.02/4.64 | ~ ('#form105' @ X2) 32.02/4.64 | (X2 @ '#sk10' @ '#sk20') 32.02/4.64 | ('#form9'))), 32.02/4.64 inference('renaming', [status(thm)], 32.02/4.64 [zip_derived_cl137, zip_derived_cl142])). 32.02/4.64 thf(zip_derived_cl77, plain, 32.02/4.64 (![X2 : a > a > $o]: 32.02/4.64 ( ('#form105' @ X2) 32.02/4.64 | ~ (((!!) @ (^[Y0 : a]: 32.02/4.64 (((!!) @ (^[Y1 : a]: 32.02/4.64 (((!!) @ (^[Y2 : a]: 32.02/4.64 (((((X2 @ Y0 @ Y1) & (X2 @ 32.02/4.64 Y1 @ Y2))) => 32.02/4.64 (X2 @ Y0 @ Y2)))))))))))))), 32.02/4.64 define([status(thm)])). 32.02/4.64 thf(zip_derived_cl78, plain, 32.02/4.64 (![X2 : a > a > $o]: 32.02/4.64 (~ (((!!) @ (^[Y0 : a]: 32.02/4.64 (((!!) @ (^[Y1 : a]: 32.02/4.64 (((((X2 @ ('#sk106' @ X2) @ Y0) & (X2 @ 32.02/4.64 Y0 @ Y1))) => 32.02/4.64 (X2 @ ('#sk106' @ X2) @ Y1))))))))) 32.02/4.64 | ('#form105' @ X2))), 32.02/4.64 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl77])). 32.02/4.64 thf(zip_derived_cl99, plain, 32.02/4.64 (![X2 : a > a > $o]: 32.02/4.64 (~ (((!!) @ (^[Y0 : a]: 32.02/4.64 (((((X2 @ ('#sk106' @ X2) @ ('#sk143' @ X2)) & (X2 @ 32.02/4.64 ('#sk143' @ X2) @ Y0))) => 32.02/4.64 (X2 @ ('#sk106' @ X2) @ Y0)))))) 32.02/4.64 | ('#form105' @ X2))), 32.02/4.64 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl78])). 32.02/4.64 thf(zip_derived_cl111, plain, 32.02/4.64 (![X2 : a > a > $o]: 32.02/4.64 (~ (((((X2 @ ('#sk106' @ X2) @ ('#sk143' @ X2)) & (X2 @ 32.02/4.64 ('#sk143' @ X2) @ ('#sk208' @ X2)))) => 32.02/4.64 (X2 @ ('#sk106' @ X2) @ ('#sk208' @ X2)))) 32.02/4.64 | ('#form105' @ X2))), 32.02/4.64 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl99])). 32.02/4.64 thf(zip_derived_cl124, plain, 32.02/4.64 (![X2 : a > a > $o]: 32.02/4.64 ( (((X2 @ ('#sk106' @ X2) @ ('#sk143' @ X2)) & (X2 @ 32.02/4.64 ('#sk143' @ X2) @ ('#sk208' @ X2)))) 32.02/4.64 | ('#form105' @ X2))), 32.02/4.64 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl111])). 32.02/4.64 thf(zip_derived_cl134, plain, 32.02/4.64 (![X2 : a > a > $o]: 32.02/4.64 ( (X2 @ ('#sk106' @ X2) @ ('#sk143' @ X2)) | ('#form105' @ X2))), 32.02/4.64 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl124])). 32.02/4.64 thf(zip_derived_cl292, plain, 32.02/4.64 ((~ ('#sk88' @ ('#sk87' @ '#sk88') @ ('#sk162' @ '#sk88')) 32.02/4.64 | ('#form540'))), 32.02/4.64 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl290])). 32.02/4.64 thf(zip_derived_cl14, plain, 32.02/4.64 ( (((!!) @ (^[Y0 : a]: 32.02/4.64 (((!!) @ (^[Y1 : a]: 32.02/4.64 (((!!) @ (^[Y2 : a]: 32.02/4.64 ((((('#sk5' @ Y0 @ Y1) & ('#sk5' @ 32.02/4.64 Y1 @ Y2))) => 32.02/4.64 ('#sk5' @ Y0 @ Y2))))))))))))), 32.02/4.64 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl10])). 32.02/4.64 thf(zip_derived_cl17, plain, 32.02/4.64 (![X2 : a]: 32.02/4.64 (((!!) @ (^[Y0 : a]: 32.02/4.64 (((!!) @ (^[Y1 : a]: 32.02/4.64 ((((('#sk5' @ X2 @ Y0) & ('#sk5' @ Y0 @ Y1))) => 32.02/4.64 ('#sk5' @ X2 @ Y1)))))))))), 32.02/4.64 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl14])). 32.02/4.64 thf(zip_derived_cl21, plain, 32.02/4.64 (![X2 : a, X4 : a]: 32.02/4.64 (((!!) @ (^[Y0 : a]: 32.02/4.64 ((((('#sk5' @ X2 @ X4) & ('#sk5' @ X4 @ Y0))) => 32.02/4.64 ('#sk5' @ X2 @ Y0))))))), 32.02/4.64 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl17])). 32.02/4.64 thf(zip_derived_cl25, plain, 32.02/4.64 (![X2 : a, X4 : a, X6 : a]: 32.02/4.64 ((((('#sk5' @ X2 @ X4) & ('#sk5' @ X4 @ X6))) => ('#sk5' @ X2 @ X6)))), 32.02/4.64 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl21])). 32.02/4.64 thf(zip_derived_cl36, plain, 32.02/4.64 (![X2 : a, X4 : a, X6 : a]: 32.02/4.64 (~ ((('#sk5' @ X2 @ X4) & ('#sk5' @ X4 @ X6))) | ('#sk5' @ X2 @ X6))), 32.02/4.64 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl25])). 32.02/4.64 thf(zip_derived_cl46, plain, 32.02/4.64 (![X2 : a, X4 : a, X6 : a]: 32.02/4.64 (~ ('#sk5' @ X2 @ X4) | ~ ('#sk5' @ X4 @ X6) | ('#sk5' @ X2 @ X6))), 32.02/4.64 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl36])). 32.02/4.64 thf(zip_derived_cl125, plain, 32.02/4.64 (![X2 : a > a > $o]: 32.02/4.64 (~ (X2 @ ('#sk106' @ X2) @ ('#sk208' @ X2)) | ('#form105' @ X2))), 32.02/4.64 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl111])). 32.02/4.64 thf(zip_derived_cl135, plain, 32.02/4.64 (![X2 : a > a > $o]: 32.02/4.64 ( (X2 @ ('#sk143' @ X2) @ ('#sk208' @ X2)) | ('#form105' @ X2))), 32.02/4.65 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl124])). 32.02/4.65 thf(zip_derived_cl95, plain, 32.02/4.65 (( (((((!!) @ (^[Y0 : a]: 32.02/4.65 (((!!) @ (^[Y1 : a]: 32.02/4.65 ((((('#sk2' @ Y0 @ Y1) | ('#sk1' @ Y0 @ Y1))) => 32.02/4.65 ('#sk88' @ Y0 @ Y1))))))))) & 32.02/4.65 (((!!) @ (^[Y0 : a]: 32.02/4.65 (((!!) @ (^[Y1 : a]: 32.02/4.65 (((!!) @ (^[Y2 : a]: 32.02/4.65 ((((('#sk88' @ Y0 @ Y1) & 32.02/4.65 ('#sk88' @ Y1 @ Y2))) => 32.02/4.65 ('#sk88' @ Y0 @ Y2)))))))))))))) 32.02/4.65 | ('#form9'))), 32.02/4.65 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl75])). 32.02/4.65 thf(zip_derived_cl106, plain, 32.02/4.65 (( (((!!) @ (^[Y0 : a]: 32.02/4.65 (((!!) @ (^[Y1 : a]: 32.02/4.65 ((((('#sk2' @ Y0 @ Y1) | ('#sk1' @ Y0 @ Y1))) => 32.02/4.65 ('#sk88' @ Y0 @ Y1))))))))) 32.02/4.65 | ('#form9'))), 32.02/4.65 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl95])). 32.02/4.65 thf(zip_derived_cl119, plain, 32.02/4.65 (![X2 : a]: 32.02/4.65 ( (((!!) @ (^[Y0 : a]: 32.02/4.65 ((((('#sk2' @ X2 @ Y0) | ('#sk1' @ X2 @ Y0))) => 32.02/4.65 ('#sk88' @ X2 @ Y0)))))) 32.02/4.65 | ('#form9'))), 32.02/4.65 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl106])). 32.02/4.65 thf(zip_derived_cl130, plain, 32.02/4.65 (![X2 : a, X4 : a]: 32.02/4.65 ( ((((('#sk2' @ X2 @ X4) | ('#sk1' @ X2 @ X4))) => ('#sk88' @ X2 @ X4))) 32.02/4.65 | ('#form9'))), 32.02/4.65 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl119])). 32.02/4.65 thf(zip_derived_cl140, plain, 32.02/4.65 (![X2 : a, X4 : a]: 32.02/4.65 (~ ((('#sk2' @ X2 @ X4) | ('#sk1' @ X2 @ X4))) 32.02/4.65 | ('#sk88' @ X2 @ X4) 32.02/4.65 | ('#form9'))), 32.02/4.65 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl130])). 32.02/4.65 thf(zip_derived_cl147, plain, 32.02/4.65 (![X2 : a, X4 : a]: 32.02/4.65 (~ ('#sk1' @ X2 @ X4) | ('#form9') | ('#sk88' @ X2 @ X4))), 32.02/4.65 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl140])). 32.02/4.65 thf(zip_derived_cl146, plain, 32.02/4.65 (![X2 : a, X4 : a]: 32.02/4.65 (~ ('#sk2' @ X2 @ X4) | ('#form9') | ('#sk88' @ X2 @ X4))), 32.02/4.65 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl140])). 32.02/4.65 thf(zip_derived_cl107, plain, 32.02/4.65 (( (((!!) @ (^[Y0 : a]: 32.02/4.65 (((!!) @ (^[Y1 : a]: 32.02/4.65 (((!!) @ (^[Y2 : a]: 32.02/4.65 ((((('#sk88' @ Y0 @ Y1) & 32.02/4.65 ('#sk88' @ Y1 @ Y2))) => 32.02/4.65 ('#sk88' @ Y0 @ Y2)))))))))))) 32.02/4.65 | ('#form9'))), 32.02/4.65 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl95])). 32.02/4.65 thf(zip_derived_cl120, plain, 32.02/4.65 (![X2 : a]: 32.02/4.65 ( (((!!) @ (^[Y0 : a]: 32.02/4.65 (((!!) @ (^[Y1 : a]: 32.02/4.65 ((((('#sk88' @ X2 @ Y0) & ('#sk88' @ Y0 @ 32.02/4.65 Y1))) => 32.02/4.65 ('#sk88' @ X2 @ Y1))))))))) 32.02/4.65 | ('#form9'))), 32.02/4.65 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl107])). 32.02/4.65 thf(zip_derived_cl131, plain, 32.02/4.65 (![X2 : a, X4 : a]: 32.02/4.65 ( (((!!) @ (^[Y0 : a]: 32.02/4.65 ((((('#sk88' @ X2 @ X4) & ('#sk88' @ X4 @ Y0))) => 32.02/4.65 ('#sk88' @ X2 @ Y0)))))) 32.02/4.65 | ('#form9'))), 32.02/4.65 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl120])). 32.02/4.65 thf(zip_derived_cl141, plain, 32.02/4.65 (![X2 : a, X4 : a, X6 : a]: 32.02/4.65 ( ((((('#sk88' @ X2 @ X4) & ('#sk88' @ X4 @ X6))) => ('#sk88' @ X2 @ 32.02/4.65 X6))) 32.02/4.65 | ('#form9'))), 32.02/4.65 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl131])). 32.02/4.65 thf(zip_derived_cl148, plain, 32.02/4.65 (![X2 : a, X4 : a, X6 : a]: 32.02/4.65 (~ ((('#sk88' @ X2 @ X4) & ('#sk88' @ X4 @ X6))) 32.02/4.65 | ('#sk88' @ X2 @ X6) 32.02/4.65 | ('#form9'))), 32.02/4.65 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl141])). 32.02/4.65 thf(zip_derived_cl151, plain, 32.02/4.65 (![X2 : a, X4 : a, X6 : a]: 32.02/4.65 (~ ('#sk88' @ X2 @ X4) 32.02/4.65 | ~ ('#sk88' @ X4 @ X6) 32.02/4.65 | ('#form9') 32.02/4.65 | ('#sk88' @ X2 @ X6))), 32.02/4.65 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl148])). 32.02/4.65 thf(zip_derived_cl4227, plain, ($false), 32.02/4.65 inference('eprover', [status(thm)], 32.02/4.65 [zip_derived_cl122, zip_derived_cl56, zip_derived_cl123, 32.02/4.65 zip_derived_cl184, zip_derived_cl183, zip_derived_cl115, 32.02/4.65 zip_derived_cl114, zip_derived_cl96, zip_derived_cl127, 32.02/4.65 zip_derived_cl206, zip_derived_cl11, zip_derived_cl293, 32.02/4.65 zip_derived_cl289, zip_derived_cl35, zip_derived_cl34, 32.02/4.65 zip_derived_cl113, zip_derived_cl152, zip_derived_cl150, 32.02/4.65 zip_derived_cl144, zip_derived_cl134, zip_derived_cl292, 32.02/4.65 zip_derived_cl46, zip_derived_cl125, zip_derived_cl135, 32.02/4.65 zip_derived_cl147, zip_derived_cl146, zip_derived_cl151])). 32.02/4.65 32.02/4.65 % SZS output end Refutation 32.02/4.65 32.02/4.65 32.02/4.65 % Terminating... 32.02/4.73 % Runner terminated. 32.02/4.74 % Zipperpin 1.5 exiting 32.02/4.74 EOF