0.03/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.12/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.A7rIIAqrch true 0.12/0.34 % Computer : n012.cluster.edu 0.12/0.34 % Model : x86_64 x86_64 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.12/0.34 % Memory : 8042.1875MB 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64 0.12/0.34 % CPULimit : 1920 0.12/0.34 % WCLimit : 240 0.12/0.34 % DateTime : Wed Jul 30 02:31:19 EDT 2025 0.12/0.34 % CPUTime : 0.12/0.34 % Running portfolio for 1920 s 0.12/0.34 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p 0.12/0.34 % Number of cores: 8 0.20/0.35 % Python version: Python 3.6.8 0.20/0.35 % Running in HO mode 0.53/0.64 % Total configuration time : 828 0.53/0.64 % Estimated wc time : 1656 0.53/0.64 % Estimated cpu time (8 cpus) : 207.0 0.53/0.70 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s 0.54/0.72 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s 0.54/0.73 % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s 0.54/0.74 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s 0.54/0.74 % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s 0.54/0.74 % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s 0.54/0.74 % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s 0.54/0.77 % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s 53.29/7.38 % Solved by lams/20_acsne_simpl.sh. 53.29/7.38 % done 858 iterations in 6.440s 53.29/7.38 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p' 53.29/7.38 % SZS output start Refutation 53.29/7.38 thf(a_type, type, a: $tType). 53.29/7.38 thf('#sk12_type', type, '#sk12': a). 53.29/7.38 thf('#sk20_type', type, '#sk20': a > $o). 53.29/7.38 thf('#form412_type', type, '#form412': $o). 53.29/7.38 thf('#form46_type', type, '#form46': $o). 53.29/7.38 thf('#sk125_type', type, '#sk125': (a > $o) > a). 53.29/7.38 thf('#sk16_type', type, '#sk16': a > $o). 53.29/7.38 thf('#sk6_type', type, '#sk6': a). 53.29/7.38 thf('#sk39_type', type, '#sk39': (a > $o) > a). 53.29/7.38 thf('#sk82_type', type, '#sk82': (a > $o) > a). 53.29/7.38 thf('#sk219_type', type, '#sk219': (a > $o) > a). 53.29/7.38 thf('#sk5_type', type, '#sk5': a > $o). 53.29/7.38 thf('#sk4_type', type, '#sk4': a). 53.29/7.38 thf('#sk167_type', type, '#sk167': (a > $o) > a). 53.29/7.38 thf('#sk270_type', type, '#sk270': (a > $o) > a). 53.29/7.38 thf('#sk61_type', type, '#sk61': (a > $o) > a). 53.29/7.38 thf('#form9_type', type, '#form9': $o). 53.29/7.38 thf('#form81_type', type, '#form81': (a > $o) > $o). 53.29/7.38 thf('#form11_type', type, '#form11': $o). 53.29/7.38 thf('#sk172_type', type, '#sk172': (a > $o) > a). 53.29/7.38 thf('#sk8_type', type, '#sk8': a). 53.29/7.38 thf('#form264_type', type, '#form264': (a > $o) > $o). 53.29/7.38 thf('#form166_type', type, '#form166': (a > $o) > $o). 53.29/7.38 thf('#sk265_type', type, '#sk265': (a > $o) > a). 53.29/7.38 thf('#sk3_type', type, '#sk3': a). 53.29/7.38 thf('#sk7_type', type, '#sk7': a). 53.29/7.38 thf('#sk27_type', type, '#sk27': (a > $o) > a). 53.29/7.38 thf('#sk1_type', type, '#sk1': a > a > $o). 53.29/7.38 thf('#sk129_type', type, '#sk129': (a > $o) > a). 53.29/7.38 thf('#sk50_type', type, '#sk50': (a > $o) > a). 53.29/7.38 thf('#sk2_type', type, '#sk2': a > a > $o). 53.29/7.38 thf('#sk88_type', type, '#sk88': (a > $o) > a). 53.29/7.38 thf('#sk10_type', type, '#sk10': a). 53.29/7.38 thf(cTHM251G_pme, conjecture, 53.29/7.38 (![R:( a > a > $o ),S:( a > a > $o ),Xx:a,Xy:a]: 53.29/7.38 ( ( ~( ( ( ![Xx0:a,Xy0:a,Xz:a]: 53.29/7.38 ( ( ( ![Xq:( a > $o )]: 53.29/7.38 ( ( ( ![Xw:a]: 53.29/7.38 ( ( ( R @ Xy0 @ Xw ) | ( S @ Xy0 @ Xw ) ) => 53.29/7.38 ( Xq @ Xw ) ) ) & 53.29/7.38 ( ![Xu:a,Xv:a]: 53.29/7.38 ( ( ( Xq @ Xu ) & 53.29/7.38 ( ( R @ Xu @ Xv ) | ( S @ Xu @ Xv ) ) ) => 53.29/7.38 ( Xq @ Xv ) ) ) ) => 53.29/7.38 ( Xq @ Xz ) ) ) & 53.29/7.38 ( ![Xq:( a > $o )]: 53.29/7.38 ( ( ( ![Xu:a,Xv:a]: 53.29/7.38 ( ( ( ( S @ Xu @ Xv ) | ( R @ Xu @ Xv ) ) & 53.29/7.38 ( Xq @ Xu ) ) => 53.29/7.38 ( Xq @ Xv ) ) ) & 53.29/7.38 ( ![Xw:a]: 53.29/7.38 ( ( ( R @ Xx0 @ Xw ) | ( S @ Xx0 @ Xw ) ) => 53.29/7.38 ( Xq @ Xw ) ) ) ) => 53.29/7.38 ( Xq @ Xy0 ) ) ) ) => 53.29/7.38 ( ![Xq:( a > $o )]: 53.29/7.38 ( ( ( ![Xw:a]: 53.29/7.38 ( ( ( S @ Xx0 @ Xw ) | ( R @ Xx0 @ Xw ) ) => 53.29/7.38 ( Xq @ Xw ) ) ) & 53.29/7.38 ( ![Xu:a,Xv:a]: 53.29/7.38 ( ( ( Xq @ Xu ) & 53.29/7.38 ( ( R @ Xu @ Xv ) | ( S @ Xu @ Xv ) ) ) => 53.29/7.38 ( Xq @ Xv ) ) ) ) => 53.29/7.38 ( Xq @ Xz ) ) ) ) ) & 53.29/7.38 ( ![Xx0:a,Xy0:a]: 53.29/7.38 ( ( ( ![Xq:( a > $o )]: 53.29/7.38 ( ( ( ![Xu:a,Xv:a]: 53.29/7.38 ( ( ( Xq @ Xu ) & ( S @ Xu @ Xv ) ) => ( Xq @ Xv ) ) ) & 53.29/7.38 ( ![Xw:a]: ( ( S @ Xx0 @ Xw ) => ( Xq @ Xw ) ) ) ) => 53.29/7.38 ( Xq @ Xy0 ) ) ) | 53.29/7.38 ( ![Xq:( a > $o )]: 53.29/7.38 ( ( ( ![Xw:a]: ( ( R @ Xx0 @ Xw ) => ( Xq @ Xw ) ) ) & 53.29/7.38 ( ![Xu:a,Xv:a]: 53.29/7.38 ( ( ( Xq @ Xu ) & ( R @ Xu @ Xv ) ) => ( Xq @ Xv ) ) ) ) => 53.29/7.38 ( Xq @ Xy0 ) ) ) ) => 53.29/7.38 ( ![Xq:( a > $o )]: 53.29/7.38 ( ( ( ![Xw:a]: 53.29/7.38 ( ( ( R @ Xx0 @ Xw ) | ( S @ Xx0 @ Xw ) ) => 53.29/7.38 ( Xq @ Xw ) ) ) & 53.29/7.38 ( ![Xu:a,Xv:a]: 53.29/7.38 ( ( ( Xq @ Xu ) & 53.29/7.38 ( ( S @ Xu @ Xv ) | ( R @ Xu @ Xv ) ) ) => 53.29/7.38 ( Xq @ Xv ) ) ) ) => 53.29/7.38 ( Xq @ Xy0 ) ) ) ) ) ) => 53.29/7.38 ( ![Xq:( a > $o )]: 53.29/7.38 ( ( ( ![Xu:a,Xv:a]: 53.29/7.38 ( ( ( Xq @ Xu ) & ( ( R @ Xu @ Xv ) | ( S @ Xu @ Xv ) ) ) => 53.29/7.38 ( Xq @ Xv ) ) ) & 53.29/7.38 ( ![Xw:a]: 53.29/7.38 ( ( ( R @ Xx @ Xw ) | ( S @ Xx @ Xw ) ) => ( Xq @ Xw ) ) ) ) => 53.29/7.38 ( Xq @ Xy ) ) ) ) ) | 53.29/7.38 ( ![Xq:( a > $o )]: 53.29/7.38 ( ( ( ![Xu:a,Xv:a]: 53.29/7.38 ( ( ( ( S @ Xu @ Xv ) | ( R @ Xu @ Xv ) ) & ( Xq @ Xu ) ) => 53.29/7.38 ( Xq @ Xv ) ) ) & 53.29/7.38 ( ![Xw:a]: 53.29/7.38 ( ( ( S @ Xx @ Xw ) | ( R @ Xx @ Xw ) ) => ( Xq @ Xw ) ) ) ) => 53.29/7.38 ( Xq @ Xy ) ) ) ))). 53.29/7.38 thf(zf_stmt_0, negated_conjecture, 53.29/7.38 (~( ![R:( a > a > $o ),S:( a > a > $o ),Xx:a,Xy:a]: 53.29/7.38 ( ( ~( ( ( ![Xx0:a,Xy0:a,Xz:a]: 53.29/7.38 ( ( ( ![Xq:( a > $o )]: 53.29/7.38 ( ( ( ![Xw:a]: 53.29/7.38 ( ( ( R @ Xy0 @ Xw ) | ( S @ Xy0 @ Xw ) ) => 53.29/7.38 ( Xq @ Xw ) ) ) & 53.29/7.38 ( ![Xu:a,Xv:a]: 53.29/7.38 ( ( ( Xq @ Xu ) & 53.29/7.38 ( ( R @ Xu @ Xv ) | ( S @ Xu @ Xv ) ) ) => 53.29/7.38 ( Xq @ Xv ) ) ) ) => 53.29/7.38 ( Xq @ Xz ) ) ) & 53.29/7.38 ( ![Xq:( a > $o )]: 53.29/7.38 ( ( ( ![Xu:a,Xv:a]: 53.29/7.38 ( ( ( ( S @ Xu @ Xv ) | ( R @ Xu @ Xv ) ) & 53.29/7.38 ( Xq @ Xu ) ) => 53.29/7.38 ( Xq @ Xv ) ) ) & 53.29/7.38 ( ![Xw:a]: 53.29/7.38 ( ( ( R @ Xx0 @ Xw ) | ( S @ Xx0 @ Xw ) ) => 53.29/7.38 ( Xq @ Xw ) ) ) ) => 53.29/7.38 ( Xq @ Xy0 ) ) ) ) => 53.29/7.38 ( ![Xq:( a > $o )]: 53.29/7.38 ( ( ( ![Xw:a]: 53.29/7.38 ( ( ( S @ Xx0 @ Xw ) | ( R @ Xx0 @ Xw ) ) => 53.29/7.38 ( Xq @ Xw ) ) ) & 53.29/7.38 ( ![Xu:a,Xv:a]: 53.29/7.38 ( ( ( Xq @ Xu ) & 53.29/7.38 ( ( R @ Xu @ Xv ) | ( S @ Xu @ Xv ) ) ) => 53.29/7.38 ( Xq @ Xv ) ) ) ) => 53.29/7.38 ( Xq @ Xz ) ) ) ) ) & 53.29/7.38 ( ![Xx0:a,Xy0:a]: 53.29/7.38 ( ( ( ![Xq:( a > $o )]: 53.29/7.38 ( ( ( ![Xu:a,Xv:a]: 53.29/7.38 ( ( ( Xq @ Xu ) & ( S @ Xu @ Xv ) ) => 53.29/7.38 ( Xq @ Xv ) ) ) & 53.29/7.38 ( ![Xw:a]: ( ( S @ Xx0 @ Xw ) => ( Xq @ Xw ) ) ) ) => 53.29/7.38 ( Xq @ Xy0 ) ) ) | 53.29/7.38 ( ![Xq:( a > $o )]: 53.29/7.38 ( ( ( ![Xw:a]: ( ( R @ Xx0 @ Xw ) => ( Xq @ Xw ) ) ) & 53.29/7.38 ( ![Xu:a,Xv:a]: 53.29/7.38 ( ( ( Xq @ Xu ) & ( R @ Xu @ Xv ) ) => 53.29/7.38 ( Xq @ Xv ) ) ) ) => 53.29/7.38 ( Xq @ Xy0 ) ) ) ) => 53.29/7.38 ( ![Xq:( a > $o )]: 53.29/7.38 ( ( ( ![Xw:a]: 53.29/7.38 ( ( ( R @ Xx0 @ Xw ) | ( S @ Xx0 @ Xw ) ) => 53.29/7.38 ( Xq @ Xw ) ) ) & 53.29/7.38 ( ![Xu:a,Xv:a]: 53.29/7.38 ( ( ( Xq @ Xu ) & 53.29/7.38 ( ( S @ Xu @ Xv ) | ( R @ Xu @ Xv ) ) ) => 53.29/7.38 ( Xq @ Xv ) ) ) ) => 53.29/7.38 ( Xq @ Xy0 ) ) ) ) ) ) => 53.29/7.38 ( ![Xq:( a > $o )]: 53.29/7.38 ( ( ( ![Xu:a,Xv:a]: 53.29/7.38 ( ( ( Xq @ Xu ) & ( ( R @ Xu @ Xv ) | ( S @ Xu @ Xv ) ) ) => 53.29/7.38 ( Xq @ Xv ) ) ) & 53.29/7.38 ( ![Xw:a]: 53.29/7.38 ( ( ( R @ Xx @ Xw ) | ( S @ Xx @ Xw ) ) => ( Xq @ Xw ) ) ) ) => 53.29/7.38 ( Xq @ Xy ) ) ) ) ) | 53.29/7.38 ( ![Xq:( a > $o )]: 53.29/7.38 ( ( ( ![Xu:a,Xv:a]: 53.29/7.38 ( ( ( ( S @ Xu @ Xv ) | ( R @ Xu @ Xv ) ) & ( Xq @ Xu ) ) => 53.29/7.38 ( Xq @ Xv ) ) ) & 53.29/7.38 ( ![Xw:a]: 53.29/7.38 ( ( ( S @ Xx @ Xw ) | ( R @ Xx @ Xw ) ) => ( Xq @ Xw ) ) ) ) => 53.29/7.38 ( Xq @ Xy ) ) ) ) )), 53.29/7.38 inference('cnf.neg', [status(esa)], [cTHM251G_pme])). 53.29/7.38 thf(zip_derived_cl0, plain, 53.29/7.38 (~ (((!!) @ (^[Y0 : a > a > $o]: 53.29/7.38 (((!!) @ (^[Y1 : a > a > $o]: 53.29/7.38 (((!!) @ (^[Y2 : a]: 53.29/7.38 (((!!) @ (^[Y3 : a]: 53.29/7.38 (((((~) @ (((( 53.29/7.38 (( 53.29/7.38 (!!) @ ( 53.29/7.38 ^[Y4 : a]: 53.29/7.38 (( 53.29/7.38 (!!) @ ( 53.29/7.38 ^[Y5 : a]: 53.29/7.38 (( 53.29/7.38 (!!) @ ( 53.29/7.38 ^[Y6 : a]: 53.29/7.38 (( 53.29/7.38 (( 53.29/7.38 (( 53.29/7.38 (!!) @ ( 53.29/7.38 ^[Y7 : a > $o]: 53.29/7.38 (( 53.29/7.38 (( 53.29/7.38 (( 53.29/7.38 (!!) @ ( 53.29/7.38 ^[Y8 : a]: 53.29/7.38 (( 53.29/7.38 (( 53.29/7.38 (Y0 @ 53.29/7.38 Y5 @ 53.29/7.38 Y8) | 53.29/7.38 (Y1 @ 53.29/7.38 Y5 @ Y8))) => 53.29/7.38 (Y7 @ Y8)))))) & 53.29/7.38 (( 53.29/7.38 (!!) @ ( 53.29/7.38 ^[Y8 : a]: 53.29/7.38 (( 53.29/7.38 (!!) @ ( 53.29/7.38 ^[Y9 : a]: 53.29/7.38 (( 53.29/7.38 (( 53.29/7.38 (Y7 @ 53.29/7.38 Y8) & 53.29/7.38 (( 53.29/7.38 (Y0 @ 53.29/7.38 Y8 @ 53.29/7.38 Y9) | 53.29/7.38 (Y1 @ 53.29/7.38 Y8 @ Y9))))) => 53.29/7.38 (Y7 @ Y9))))))))))) => 53.29/7.38 (Y7 @ Y6)))))) & 53.29/7.38 (( 53.29/7.38 (!!) @ ( 53.29/7.38 ^[Y7 : a > $o]: 53.29/7.38 (( 53.29/7.38 (( 53.29/7.38 (( 53.29/7.38 (!!) @ ( 53.29/7.38 ^[Y8 : a]: 53.29/7.38 (( 53.29/7.38 (!!) @ ( 53.29/7.38 ^[Y9 : a]: 53.29/7.38 (( 53.29/7.38 (( 53.29/7.38 (( 53.29/7.38 (Y1 @ 53.29/7.38 Y8 @ 53.29/7.38 Y9) | 53.29/7.38 (Y0 @ 53.29/7.38 Y8 @ Y9))) & 53.29/7.38 (Y7 @ Y8))) => 53.29/7.38 (Y7 @ Y9))))))))) & 53.29/7.38 (( 53.29/7.38 (!!) @ ( 53.29/7.38 ^[Y8 : a]: 53.29/7.38 (( 53.29/7.38 (( 53.29/7.38 (Y0 @ 53.29/7.38 Y4 @ 53.29/7.38 Y8) | 53.29/7.38 (Y1 @ 53.29/7.38 Y4 @ Y8))) => 53.29/7.38 (Y7 @ Y8)))))))) => 53.29/7.38 (Y7 @ Y5)))))))) => 53.29/7.38 (( 53.29/7.38 (!!) @ ( 53.29/7.38 ^[Y7 : a > $o]: 53.29/7.38 (( 53.29/7.38 (( 53.29/7.38 (( 53.29/7.38 (!!) @ ( 53.29/7.38 ^[Y8 : a]: 53.29/7.38 (( 53.29/7.38 (( 53.29/7.38 (Y1 @ 53.29/7.38 Y4 @ 53.29/7.38 Y8) | 53.29/7.38 (Y0 @ 53.29/7.38 Y4 @ Y8))) => 53.29/7.38 (Y7 @ Y8)))))) & 53.29/7.38 (( 53.29/7.38 (!!) @ ( 53.29/7.38 ^[Y8 : a]: 53.29/7.38 (( 53.29/7.38 (!!) @ ( 53.29/7.38 ^[Y9 : a]: 53.29/7.38 (( 53.29/7.38 (( 53.29/7.38 (Y7 @ 53.29/7.38 Y8) & 53.29/7.38 (( 53.29/7.38 (Y0 @ 53.29/7.38 Y8 @ 53.29/7.38 Y9) | 53.29/7.38 (Y1 @ 53.29/7.38 Y8 @ Y9))))) => 53.29/7.38 (Y7 @ Y9))))))))))) => 53.29/7.38 (Y7 @ Y6))))))))))))))))) & 53.29/7.38 (( 53.29/7.38 (!!) @ ( 53.29/7.38 ^[Y4 : a]: 53.29/7.38 (( 53.29/7.38 (!!) @ ( 53.29/7.38 ^[Y5 : a]: 53.29/7.38 (( 53.29/7.38 (( 53.29/7.38 (( 53.29/7.38 (!!) @ ( 53.29/7.38 ^[Y6 : a > $o]: 53.29/7.38 (( 53.29/7.38 (( 53.29/7.38 (( 53.29/7.38 (!!) @ ( 53.29/7.38 ^[Y7 : a]: 53.29/7.38 (( 53.29/7.38 (!!) @ ( 53.29/7.38 ^[Y8 : a]: 53.29/7.38 (( 53.29/7.38 (( 53.29/7.38 (Y6 @ 53.29/7.38 Y7) & 53.29/7.38 (Y1 @ 53.29/7.38 Y7 @ Y8))) => 53.29/7.38 (Y6 @ Y8))))))))) & 53.29/7.38 (( 53.29/7.38 (!!) @ ( 53.29/7.38 ^[Y7 : a]: 53.29/7.38 (( 53.29/7.38 (Y1 @ 53.29/7.38 Y4 @ 53.29/7.38 Y7) => 53.29/7.38 (Y6 @ Y7)))))))) => 53.29/7.38 (Y6 @ Y5)))))) | 53.29/7.38 (( 53.29/7.38 (!!) @ ( 53.29/7.38 ^[Y6 : a > $o]: 53.29/7.38 (( 53.29/7.38 (( 53.29/7.38 (( 53.29/7.38 (!!) @ ( 53.29/7.38 ^[Y7 : a]: 53.29/7.38 (( 53.29/7.38 (Y0 @ 53.29/7.38 Y4 @ 53.29/7.38 Y7) => 53.29/7.38 (Y6 @ Y7)))))) & 53.29/7.38 (( 53.29/7.38 (!!) @ ( 53.29/7.38 ^[Y7 : a]: 53.29/7.38 (( 53.29/7.38 (!!) @ ( 53.29/7.38 ^[Y8 : a]: 53.29/7.38 (( 53.29/7.38 (( 53.29/7.38 (Y6 @ 53.29/7.38 Y7) & 53.29/7.38 (Y0 @ 53.29/7.38 Y7 @ Y8))) => 53.29/7.38 (Y6 @ Y8))))))))))) => 53.29/7.38 (Y6 @ Y5)))))))) => 53.29/7.38 (( 53.29/7.38 (!!) @ ( 53.29/7.38 ^[Y6 : a > $o]: 53.29/7.38 (( 53.29/7.38 (( 53.29/7.38 (( 53.29/7.38 (!!) @ ( 53.29/7.38 ^[Y7 : a]: 53.29/7.38 (( 53.29/7.38 (( 53.29/7.38 (Y0 @ 53.29/7.38 Y4 @ 53.29/7.38 Y7) | 53.29/7.38 (Y1 @ 53.29/7.38 Y4 @ Y7))) => 53.29/7.38 (Y6 @ Y7)))))) & 53.29/7.38 (( 53.29/7.38 (!!) @ ( 53.29/7.38 ^[Y7 : a]: 53.29/7.38 (( 53.29/7.38 (!!) @ ( 53.29/7.38 ^[Y8 : a]: 53.29/7.38 (( 53.29/7.38 (( 53.29/7.38 (Y6 @ 53.29/7.38 Y7) & 53.29/7.38 (( 53.29/7.38 (Y1 @ 53.29/7.38 Y7 @ 53.29/7.38 Y8) | 53.29/7.38 (Y0 @ 53.29/7.38 Y7 @ Y8))))) => 53.29/7.38 (Y6 @ Y8))))))))))) => 53.29/7.38 (Y6 @ Y5)))))))))))))))) => 53.29/7.38 (( 53.29/7.38 (!!) @ ( 53.29/7.38 ^[Y4 : a > $o]: 53.29/7.38 (( 53.29/7.38 (( 53.29/7.38 (( 53.29/7.38 (!!) @ ( 53.29/7.38 ^[Y5 : a]: 53.29/7.38 (( 53.29/7.38 (!!) @ ( 53.29/7.38 ^[Y6 : a]: 53.29/7.38 (( 53.29/7.38 (( 53.29/7.38 (Y4 @ 53.29/7.38 Y5) & 53.29/7.38 (( 53.29/7.38 (Y0 @ 53.29/7.38 Y5 @ 53.29/7.38 Y6) | 53.29/7.38 (Y1 @ 53.29/7.38 Y5 @ Y6))))) => 53.29/7.38 (Y4 @ Y6))))))))) & 53.29/7.38 (( 53.29/7.38 (!!) @ ( 53.29/7.38 ^[Y5 : a]: 53.29/7.38 (( 53.29/7.38 (( 53.29/7.38 (Y0 @ 53.29/7.38 Y2 @ 53.29/7.38 Y5) | 53.29/7.38 (Y1 @ 53.29/7.38 Y2 @ Y5))) => 53.29/7.38 (Y4 @ Y5)))))))) => 53.29/7.38 (Y4 @ Y3)))))))))) | 53.29/7.38 (((!!) @ (^[Y4 : a > $o]: 53.29/7.38 (( 53.29/7.38 (( 53.29/7.38 (( 53.29/7.38 (!!) @ ( 53.29/7.38 ^[Y5 : a]: 53.29/7.38 (( 53.29/7.38 (!!) @ ( 53.29/7.38 ^[Y6 : a]: 53.29/7.38 (( 53.29/7.38 (( 53.29/7.38 (( 53.29/7.38 (Y1 @ 53.29/7.38 Y5 @ 53.29/7.38 Y6) | 53.29/7.38 (Y0 @ 53.29/7.38 Y5 @ Y6))) & 53.29/7.38 (Y4 @ Y5))) => 53.29/7.38 (Y4 @ Y6))))))))) & 53.29/7.38 (( 53.29/7.38 (!!) @ ( 53.29/7.38 ^[Y5 : a]: 53.29/7.38 (( 53.29/7.38 (( 53.29/7.38 (Y1 @ 53.29/7.38 Y2 @ 53.29/7.38 Y5) | 53.29/7.38 (Y0 @ 53.29/7.38 Y2 @ 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53.29/7.38 (Y5 @ Y6)))))))) => 53.29/7.38 (Y5 @ Y4)))))) | 53.29/7.38 (( 53.29/7.38 (!!) @ ( 53.29/7.38 ^[Y5 : a > $o]: 53.29/7.38 (( 53.29/7.38 (( 53.29/7.38 (( 53.29/7.38 (!!) @ ( 53.29/7.38 ^[Y6 : a]: 53.29/7.38 (( 53.29/7.38 ('#sk1' @ 53.29/7.38 Y3 @ 53.29/7.38 Y6) => 53.29/7.38 (Y5 @ Y6)))))) & 53.29/7.38 (( 53.29/7.38 (!!) @ ( 53.29/7.38 ^[Y6 : a]: 53.29/7.38 (( 53.29/7.38 (!!) @ ( 53.29/7.38 ^[Y7 : a]: 53.29/7.38 (( 53.29/7.38 (( 53.29/7.38 (Y5 @ 53.29/7.38 Y6) & 53.29/7.38 ('#sk1' @ 53.29/7.38 Y6 @ Y7))) => 53.29/7.38 (Y5 @ Y7))))))))))) => 53.29/7.38 (Y5 @ Y4)))))))) => 53.29/7.38 (( 53.29/7.38 (!!) @ ( 53.29/7.38 ^[Y5 : a > $o]: 53.29/7.38 (( 53.29/7.38 (( 53.29/7.38 (( 53.29/7.38 (!!) @ ( 53.29/7.38 ^[Y6 : a]: 53.29/7.38 (( 53.29/7.38 (( 53.29/7.38 ('#sk1' @ 53.29/7.38 Y3 @ 53.29/7.38 Y6) | 53.29/7.38 (Y0 @ 53.29/7.38 Y3 @ Y6))) => 53.29/7.38 (Y5 @ Y6)))))) & 53.29/7.38 (( 53.29/7.38 (!!) @ ( 53.29/7.38 ^[Y6 : a]: 53.29/7.38 (( 53.29/7.38 (!!) @ ( 53.29/7.38 ^[Y7 : a]: 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53.29/7.38 (( 53.29/7.38 (( 53.29/7.38 (( 53.29/7.38 (Y0 @ 53.29/7.38 Y4 @ 53.29/7.38 Y5) | 53.29/7.38 ('#sk1' @ 53.29/7.38 Y4 @ Y5))) & 53.29/7.38 (Y3 @ Y4))) => 53.29/7.38 (Y3 @ Y5))))))))) & 53.29/7.38 (((!!) @ ( 53.29/7.38 ^[Y4 : a]: 53.29/7.38 (((( 53.29/7.38 (Y0 @ 53.29/7.38 Y1 @ Y4) | 53.29/7.38 ('#sk1' @ 53.29/7.38 Y1 @ Y4))) => 53.29/7.38 (Y3 @ Y4)))))))) => 53.29/7.38 (Y3 @ Y2)))))))))))))))))), 53.29/7.38 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl0])). 53.29/7.38 thf(zip_derived_cl2, plain, 53.29/7.38 (~ (((!!) @ (^[Y0 : a]: 53.29/7.38 (((!!) @ (^[Y1 : a]: 53.29/7.38 (((((~) @ (((((((!!) @ (^[Y2 : a]: 53.29/7.38 (((!!) @ (^[Y3 : a]: 53.29/7.38 (( 53.29/7.38 (!!) @ ( 53.29/7.38 ^[Y4 : a]: 53.29/7.38 (( 53.29/7.38 (( 53.29/7.38 (( 53.29/7.38 (!!) @ ( 53.29/7.38 ^[Y5 : a > $o]: 53.29/7.38 (( 53.29/7.38 (( 53.29/7.38 (( 53.29/7.38 (!!) @ ( 53.29/7.38 ^[Y6 : a]: 53.29/7.38 (( 53.29/7.38 (( 53.29/7.38 ('#sk1' @ 53.29/7.38 Y3 @ 53.29/7.38 Y6) | 53.29/7.38 ('#sk2' @ 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53.29/7.38 ('#sk1' @ 53.29/7.38 Y3 @ Y4))) => 53.29/7.38 (Y2 @ Y4))))))))))) => 53.29/7.38 (Y2 @ Y1)))))))) => 53.29/7.38 (((!!) @ (^[Y2 : a > $o]: 53.29/7.38 (((((((!!) @ (^[Y3 : a]: 53.29/7.38 ((((('#sk1' @ 53.29/7.38 Y0 @ 53.29/7.38 Y3) | 53.29/7.38 ('#sk2' @ 53.29/7.38 Y0 @ Y3))) => 53.29/7.38 (Y2 @ Y3)))))) & 53.29/7.38 (((!!) @ (^[Y3 : a]: 53.29/7.38 (((!!) @ ( 53.29/7.38 ^[Y4 : a]: 53.29/7.38 ( 53.29/7.38 ( 53.29/7.38 (( 53.29/7.38 (Y2 @ 53.29/7.38 Y3) & 53.29/7.38 (( 53.29/7.38 ('#sk2' @ 53.29/7.38 Y3 @ 53.29/7.38 Y4) | 53.29/7.38 ('#sk1' @ 53.29/7.38 Y3 @ Y4))))) => 53.29/7.38 (Y2 @ Y4))))))))))) => 53.29/7.38 (Y2 @ Y1)))))))))))))))), 53.29/7.38 define([status(thm)])). 53.29/7.38 thf(zip_derived_cl29, plain, 53.29/7.38 ((~ (((!!) @ (^[Y0 : a]: 53.29/7.38 (((((((!!) @ (^[Y1 : a > $o]: 53.29/7.38 (((((((!!) @ (^[Y2 : a]: 53.29/7.38 (((!!) @ (^[Y3 : a]: 53.29/7.38 (((((Y1 @ 53.29/7.38 Y2) & 53.29/7.38 ('#sk2' @ 53.29/7.38 Y2 @ Y3))) => 53.29/7.38 (Y1 @ Y3))))))))) & 53.29/7.38 (((!!) @ (^[Y2 : a]: 53.29/7.38 ((('#sk2' @ '#sk10' @ 53.29/7.38 Y2) => (Y1 @ Y2)))))))) => 53.29/7.38 (Y1 @ Y0)))))) | 53.29/7.38 (((!!) @ (^[Y1 : a > $o]: 53.29/7.38 (((((((!!) @ (^[Y2 : a]: 53.29/7.38 ((('#sk1' @ '#sk10' @ 53.29/7.38 Y2) => (Y1 @ Y2)))))) & 53.29/7.38 (((!!) @ (^[Y2 : a]: 53.29/7.38 (((!!) @ (^[Y3 : a]: 53.29/7.38 (((((Y1 @ 53.29/7.38 Y2) & 53.29/7.38 ('#sk1' @ 53.29/7.38 Y2 @ Y3))) => 53.29/7.38 (Y1 @ Y3))))))))))) => 53.29/7.38 (Y1 @ Y0)))))))) => 53.29/7.38 (((!!) @ (^[Y1 : a > $o]: 53.29/7.38 (((((((!!) @ (^[Y2 : a]: 53.29/7.38 ((((('#sk1' @ '#sk10' @ 53.29/7.38 Y2) | ('#sk2' @ 53.29/7.38 '#sk10' @ Y2))) => 53.29/7.38 (Y1 @ Y2)))))) & 53.29/7.38 (((!!) @ (^[Y2 : a]: 53.29/7.38 (((!!) @ (^[Y3 : a]: 53.29/7.38 (((((Y1 @ Y2) & 53.29/7.38 ((('#sk2' @ 53.29/7.38 Y2 @ 53.29/7.38 Y3) | 53.29/7.38 ('#sk1' @ 53.29/7.38 Y2 @ Y3))))) => 53.29/7.38 (Y1 @ Y3))))))))))) => 53.29/7.38 (Y1 @ Y0))))))))))) 53.29/7.38 | ('#form9'))), 53.29/7.38 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl28])). 53.29/7.38 thf(zip_derived_cl38, plain, 53.29/7.38 ((~ (((((((!!) @ (^[Y0 : a > $o]: 53.29/7.38 (((((((!!) @ (^[Y1 : a]: 53.29/7.38 (((!!) @ (^[Y2 : a]: 53.29/7.38 (((((Y0 @ Y1) & 53.29/7.38 ('#sk2' @ Y1 @ Y2))) => 53.29/7.38 (Y0 @ Y2))))))))) & 53.29/7.38 (((!!) @ (^[Y1 : a]: 53.29/7.38 ((('#sk2' @ '#sk10' @ Y1) => (Y0 @ 53.29/7.38 Y1)))))))) => 53.29/7.38 (Y0 @ '#sk12')))))) | 53.29/7.38 (((!!) @ (^[Y0 : a > $o]: 53.29/7.38 (((((((!!) @ (^[Y1 : a]: 53.29/7.38 ((('#sk1' @ '#sk10' @ Y1) => (Y0 @ 53.29/7.38 Y1)))))) & 53.29/7.38 (((!!) @ (^[Y1 : a]: 53.29/7.38 (((!!) @ (^[Y2 : a]: 53.29/7.38 (((((Y0 @ Y1) & 53.29/7.38 ('#sk1' @ Y1 @ Y2))) => 53.29/7.38 (Y0 @ Y2))))))))))) => 53.29/7.38 (Y0 @ '#sk12')))))))) => 53.29/7.38 (((!!) @ (^[Y0 : a > $o]: 53.29/7.38 (((((((!!) @ (^[Y1 : a]: 53.29/7.38 ((((('#sk1' @ '#sk10' @ Y1) | 53.29/7.38 ('#sk2' @ '#sk10' @ Y1))) => 53.29/7.38 (Y0 @ Y1)))))) & 53.29/7.38 (((!!) @ (^[Y1 : a]: 53.29/7.38 (((!!) @ (^[Y2 : a]: 53.29/7.38 (((((Y0 @ Y1) & 53.29/7.38 ((('#sk2' @ Y1 @ Y2) | 53.29/7.38 ('#sk1' @ Y1 @ Y2))))) => 53.29/7.38 (Y0 @ Y2))))))))))) => 53.29/7.38 (Y0 @ '#sk12')))))))) 53.29/7.38 | ('#form9'))), 53.29/7.38 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl29])). 53.29/7.38 thf(zip_derived_cl47, plain, 53.29/7.38 ((~ (((!!) @ (^[Y0 : a > $o]: 53.29/7.38 (((((((!!) @ (^[Y1 : a]: 53.29/7.38 ((((('#sk1' @ '#sk10' @ Y1) | ('#sk2' @ 53.29/7.38 '#sk10' @ Y1))) => 53.29/7.38 (Y0 @ Y1)))))) & 53.29/7.38 (((!!) @ (^[Y1 : a]: 53.29/7.38 (((!!) @ (^[Y2 : a]: 53.29/7.38 (((((Y0 @ Y1) & 53.29/7.38 ((('#sk2' @ Y1 @ Y2) | 53.29/7.38 ('#sk1' @ Y1 @ Y2))))) => 53.29/7.38 (Y0 @ Y2))))))))))) => 53.29/7.38 (Y0 @ '#sk12')))))) 53.29/7.38 | ('#form9'))), 53.29/7.38 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl38])). 53.29/7.38 thf(zip_derived_cl61, plain, 53.29/7.38 ((~ (((((((!!) @ (^[Y0 : a]: 53.29/7.38 ((((('#sk1' @ '#sk10' @ Y0) | ('#sk2' @ '#sk10' @ Y0))) => 53.29/7.38 ('#sk20' @ Y0)))))) & 53.29/7.38 (((!!) @ (^[Y0 : a]: 53.29/7.38 (((!!) @ (^[Y1 : a]: 53.29/7.38 ((((('#sk20' @ Y0) & 53.29/7.38 ((('#sk2' @ Y0 @ Y1) | ('#sk1' @ 53.29/7.38 Y0 @ Y1))))) => 53.29/7.38 ('#sk20' @ Y1))))))))))) => 53.29/7.38 ('#sk20' @ '#sk12'))) 53.29/7.38 | ('#form9'))), 53.29/7.38 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl47])). 53.29/7.38 thf(zip_derived_cl72, plain, ((~ ('#sk20' @ '#sk12') | ('#form9'))), 53.29/7.38 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl61])). 53.29/7.38 thf(zip_derived_cl46, plain, 53.29/7.38 (( (((((!!) @ (^[Y0 : a > $o]: 53.29/7.38 (((((((!!) @ (^[Y1 : a]: 53.29/7.38 (((!!) @ (^[Y2 : a]: 53.29/7.38 (((((Y0 @ Y1) & ('#sk2' @ 53.29/7.38 Y1 @ Y2))) => 53.29/7.38 (Y0 @ Y2))))))))) & 53.29/7.38 (((!!) @ (^[Y1 : a]: 53.29/7.38 ((('#sk2' @ '#sk10' @ Y1) => (Y0 @ Y1)))))))) => 53.29/7.38 (Y0 @ '#sk12')))))) | 53.29/7.38 (((!!) @ (^[Y0 : a > $o]: 53.29/7.38 (((((((!!) @ (^[Y1 : a]: 53.29/7.38 ((('#sk1' @ '#sk10' @ Y1) => (Y0 @ Y1)))))) & 53.29/7.38 (((!!) @ (^[Y1 : a]: 53.29/7.38 (((!!) @ (^[Y2 : a]: 53.29/7.38 (((((Y0 @ Y1) & ('#sk1' @ 53.29/7.38 Y1 @ Y2))) => 53.29/7.38 (Y0 @ Y2))))))))))) => 53.29/7.38 (Y0 @ '#sk12')))))))) 53.29/7.38 | ('#form9'))), 53.29/7.38 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl38])). 53.29/7.38 thf(zip_derived_cl57, plain, 53.29/7.38 (( (((!!) @ (^[Y0 : a > $o]: 53.29/7.38 (((((((!!) @ (^[Y1 : a]: 53.29/7.38 (((!!) @ (^[Y2 : a]: 53.29/7.38 (((((Y0 @ Y1) & ('#sk2' @ 53.29/7.38 Y1 @ Y2))) => 53.29/7.38 (Y0 @ Y2))))))))) & 53.29/7.38 (((!!) @ (^[Y1 : a]: 53.29/7.38 ((('#sk2' @ '#sk10' @ Y1) => (Y0 @ Y1)))))))) => 53.29/7.38 (Y0 @ '#sk12')))))) 53.29/7.38 | (((!!) @ (^[Y0 : a > $o]: 53.29/7.38 (((((((!!) @ (^[Y1 : a]: 53.29/7.38 ((('#sk1' @ '#sk10' @ Y1) => (Y0 @ Y1)))))) & 53.29/7.38 (((!!) @ (^[Y1 : a]: 53.29/7.38 (((!!) @ (^[Y2 : a]: 53.29/7.38 (((((Y0 @ Y1) & ('#sk1' @ 53.29/7.38 Y1 @ Y2))) => 53.29/7.38 (Y0 @ Y2))))))))))) => 53.29/7.38 (Y0 @ '#sk12')))))) 53.29/7.38 | ('#form9'))), 53.29/7.38 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl46])). 53.29/7.38 thf(zip_derived_cl67, plain, 53.29/7.38 (![X2 : a > $o]: 53.29/7.38 ( (((((((!!) @ (^[Y0 : a]: 53.29/7.38 (((!!) @ (^[Y1 : a]: 53.29/7.38 (((((X2 @ Y0) & ('#sk2' @ Y0 @ Y1))) => 53.29/7.38 (X2 @ Y1))))))))) & 53.29/7.38 (((!!) @ (^[Y0 : a]: ((('#sk2' @ '#sk10' @ Y0) => (X2 @ Y0)))))))) => 53.29/7.38 (X2 @ '#sk12'))) 53.29/7.38 | ('#form9') 53.29/7.38 | (((!!) @ (^[Y0 : a > $o]: 53.29/7.38 (((((((!!) @ (^[Y1 : a]: 53.29/7.38 ((('#sk1' @ '#sk10' @ Y1) => (Y0 @ Y1)))))) & 53.29/7.38 (((!!) @ (^[Y1 : a]: 53.29/7.38 (((!!) @ (^[Y2 : a]: 53.29/7.38 (((((Y0 @ Y1) & ('#sk1' @ 53.29/7.38 Y1 @ Y2))) => 53.29/7.38 (Y0 @ Y2))))))))))) => 53.29/7.38 (Y0 @ '#sk12')))))))), 53.29/7.38 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl57])). 53.29/7.38 thf(zip_derived_cl78, plain, 53.29/7.38 ((~ ('#form46') 53.29/7.38 | (((!!) @ (^[Y0 : a > $o]: 53.29/7.38 (((((((!!) @ (^[Y1 : a]: 53.29/7.38 ((('#sk1' @ '#sk10' @ Y1) => (Y0 @ Y1)))))) & 53.29/7.38 (((!!) @ (^[Y1 : a]: 53.29/7.38 (((!!) @ (^[Y2 : a]: 53.29/7.38 (((((Y0 @ Y1) & ('#sk1' @ 53.29/7.38 Y1 @ Y2))) => 53.29/7.38 (Y0 @ Y2))))))))))) => 53.29/7.38 (Y0 @ '#sk12')))))))), 53.29/7.38 define([status(thm)])). 53.29/7.38 thf(zip_derived_cl79, plain, 53.29/7.38 (![X2 : a > $o]: 53.29/7.38 ( (((((((!!) @ (^[Y0 : a]: ((('#sk1' @ '#sk10' @ Y0) => (X2 @ Y0)))))) & 53.29/7.38 (((!!) @ (^[Y0 : a]: 53.29/7.38 (((!!) @ (^[Y1 : a]: 53.29/7.38 (((((X2 @ Y0) & ('#sk1' @ Y0 @ Y1))) => 53.29/7.38 (X2 @ Y1))))))))))) => 53.29/7.38 (X2 @ '#sk12'))) 53.29/7.38 | ~ ('#form46'))), 53.29/7.38 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl78])). 53.29/7.38 thf(zip_derived_cl93, plain, 53.29/7.38 (![X2 : a > $o]: 53.29/7.38 (~ (((((!!) @ (^[Y0 : a]: ((('#sk1' @ '#sk10' @ Y0) => (X2 @ Y0)))))) & 53.29/7.38 (((!!) @ (^[Y0 : a]: 53.29/7.38 (((!!) @ (^[Y1 : a]: 53.29/7.38 (((((X2 @ Y0) & ('#sk1' @ Y0 @ Y1))) => 53.29/7.38 (X2 @ Y1))))))))))) 53.29/7.38 | (X2 @ '#sk12') 53.29/7.38 | ~ ('#form46'))), 53.29/7.38 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl79])). 53.29/7.38 thf(zip_derived_cl108, plain, 53.29/7.38 (![X2 : a > $o]: 53.29/7.38 (~ (((!!) @ (^[Y0 : a]: ((('#sk1' @ '#sk10' @ Y0) => (X2 @ Y0)))))) 53.29/7.38 | ~ (((!!) @ (^[Y0 : a]: 53.29/7.38 (((!!) @ (^[Y1 : a]: 53.29/7.38 (((((X2 @ Y0) & ('#sk1' @ Y0 @ Y1))) => 53.29/7.38 (X2 @ Y1))))))))) 53.29/7.38 | ~ ('#form46') 53.29/7.38 | (X2 @ '#sk12'))), 53.29/7.38 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl93])). 53.29/7.38 thf(zip_derived_cl121, plain, 53.29/7.38 (![X2 : a > $o]: 53.29/7.38 (~ ((('#sk1' @ '#sk10' @ ('#sk129' @ X2)) => (X2 @ ('#sk129' @ X2)))) 53.29/7.38 | (X2 @ '#sk12') 53.29/7.38 | ~ ('#form46') 53.29/7.38 | ~ (((!!) @ (^[Y0 : a]: 53.29/7.38 (((!!) @ (^[Y1 : a]: 53.29/7.38 (((((X2 @ Y0) & ('#sk1' @ Y0 @ Y1))) => 53.29/7.38 (X2 @ Y1))))))))))), 53.29/7.38 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl108])). 53.29/7.38 thf(zip_derived_cl140, plain, 53.29/7.38 (![X2 : a > $o]: 53.29/7.38 (~ (X2 @ ('#sk129' @ X2)) 53.29/7.38 | ~ (((!!) @ (^[Y0 : a]: 53.29/7.38 (((!!) @ (^[Y1 : a]: 53.29/7.38 (((((X2 @ Y0) & ('#sk1' @ Y0 @ Y1))) => 53.29/7.38 (X2 @ Y1))))))))) 53.29/7.38 | ~ ('#form46') 53.29/7.38 | (X2 @ '#sk12'))), 53.29/7.38 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl121])). 53.29/7.38 thf(zip_derived_cl152, plain, 53.29/7.38 (![X2 : a > $o]: 53.29/7.38 (~ (((!!) @ (^[Y0 : a]: 53.29/7.38 (((((X2 @ ('#sk219' @ X2)) & ('#sk1' @ 53.29/7.38 ('#sk219' @ X2) @ Y0))) => 53.29/7.38 (X2 @ Y0)))))) 53.29/7.38 | (X2 @ '#sk12') 53.29/7.38 | ~ ('#form46') 53.29/7.38 | ~ (X2 @ ('#sk129' @ X2)))), 53.29/7.38 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl140])). 53.29/7.38 thf(zip_derived_cl169, plain, 53.29/7.38 (![X2 : a > $o]: 53.29/7.38 (~ (((((X2 @ ('#sk219' @ X2)) & ('#sk1' @ ('#sk219' @ X2) @ 53.29/7.38 ('#sk270' @ X2)))) => 53.29/7.38 (X2 @ ('#sk270' @ X2)))) 53.29/7.38 | ~ (X2 @ ('#sk129' @ X2)) 53.29/7.38 | ~ ('#form46') 53.29/7.38 | (X2 @ '#sk12'))), 53.29/7.38 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl152])). 53.29/7.38 thf(zip_derived_cl179, plain, 53.29/7.38 (![X2 : a > $o]: 53.29/7.38 ( (((X2 @ ('#sk219' @ X2)) & ('#sk1' @ ('#sk219' @ X2) @ 53.29/7.38 ('#sk270' @ X2)))) 53.29/7.38 | (X2 @ '#sk12') 53.29/7.38 | ~ ('#form46') 53.29/7.38 | ~ (X2 @ ('#sk129' @ X2)))), 53.29/7.38 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl169])). 53.29/7.38 thf(zip_derived_cl186, plain, 53.29/7.38 (![X2 : a > $o]: 53.29/7.38 ( (X2 @ ('#sk219' @ X2)) 53.29/7.38 | ~ (X2 @ ('#sk129' @ X2)) 53.29/7.38 | ~ ('#form46') 53.29/7.38 | (X2 @ '#sk12'))), 53.29/7.38 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl179])). 53.29/7.38 thf(zip_derived_cl180, plain, 53.29/7.38 (![X2 : a > $o]: 53.29/7.38 (~ (X2 @ ('#sk270' @ X2)) 53.29/7.38 | (X2 @ '#sk12') 53.29/7.38 | ~ ('#form46') 53.29/7.38 | ~ (X2 @ ('#sk129' @ X2)))), 53.29/7.38 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl169])). 53.29/7.38 thf(zip_derived_cl71, plain, 53.29/7.38 (( (((((!!) @ (^[Y0 : a]: 53.29/7.38 ((((('#sk1' @ '#sk10' @ Y0) | ('#sk2' @ '#sk10' @ Y0))) => 53.29/7.38 ('#sk20' @ Y0)))))) & 53.29/7.38 (((!!) @ (^[Y0 : a]: 53.29/7.38 (((!!) @ (^[Y1 : a]: 53.29/7.38 ((((('#sk20' @ Y0) & 53.29/7.38 ((('#sk2' @ Y0 @ Y1) | ('#sk1' @ Y0 @ 53.29/7.38 Y1))))) => 53.29/7.38 ('#sk20' @ Y1))))))))))) 53.29/7.38 | ('#form9'))), 53.29/7.38 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl61])). 53.29/7.38 thf(zip_derived_cl84, plain, 53.29/7.38 (( (((!!) @ (^[Y0 : a]: 53.29/7.38 ((((('#sk1' @ '#sk10' @ Y0) | ('#sk2' @ '#sk10' @ Y0))) => 53.29/7.38 ('#sk20' @ Y0)))))) 53.29/7.38 | ('#form9'))), 53.29/7.38 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl71])). 53.29/7.38 thf(zip_derived_cl94, plain, 53.29/7.38 (![X2 : a]: 53.29/7.38 ( ((((('#sk1' @ '#sk10' @ X2) | ('#sk2' @ '#sk10' @ X2))) => 53.29/7.38 ('#sk20' @ X2))) 53.29/7.38 | ('#form9'))), 53.29/7.38 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl84])). 53.29/7.38 thf(zip_derived_cl109, plain, 53.29/7.38 (![X2 : a]: 53.29/7.38 (~ ((('#sk1' @ '#sk10' @ X2) | ('#sk2' @ '#sk10' @ X2))) 53.29/7.38 | ('#sk20' @ X2) 53.29/7.38 | ('#form9'))), 53.29/7.38 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl94])). 53.29/7.38 thf(zip_derived_cl122, plain, 53.29/7.38 (![X2 : a]: (~ ('#sk1' @ '#sk10' @ X2) | ('#form9') | ('#sk20' @ X2))), 53.29/7.38 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl109])). 53.29/7.38 thf(zip_derived_cl187, plain, 53.29/7.38 (![X2 : a > $o]: 53.29/7.38 ( ('#sk1' @ ('#sk219' @ X2) @ ('#sk270' @ X2)) 53.29/7.38 | ~ (X2 @ ('#sk129' @ X2)) 53.29/7.38 | ~ ('#form46') 53.29/7.38 | (X2 @ '#sk12'))), 53.29/7.38 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl179])). 53.29/7.38 thf(zip_derived_cl139, plain, 53.29/7.38 (![X2 : a > $o]: 53.29/7.38 ( ('#sk1' @ '#sk10' @ ('#sk129' @ X2)) 53.29/7.38 | ~ (((!!) @ (^[Y0 : a]: 53.29/7.38 (((!!) @ (^[Y1 : a]: 53.29/7.38 (((((X2 @ Y0) & ('#sk1' @ Y0 @ Y1))) => 53.29/7.38 (X2 @ Y1))))))))) 53.29/7.38 | ~ ('#form46') 53.29/7.38 | (X2 @ '#sk12'))), 53.29/7.38 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl121])). 53.29/7.38 thf(zip_derived_cl151, plain, 53.29/7.38 (![X2 : a > $o]: 53.29/7.38 (~ (((!!) @ (^[Y0 : a]: 53.29/7.38 (((((X2 @ ('#sk219' @ X2)) & ('#sk1' @ 53.29/7.38 ('#sk219' @ X2) @ Y0))) => 53.29/7.38 (X2 @ Y0)))))) 53.29/7.38 | (X2 @ '#sk12') 53.29/7.38 | ~ ('#form46') 53.29/7.38 | ('#sk1' @ '#sk10' @ ('#sk129' @ X2)))), 53.29/7.38 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl139])). 53.29/7.38 thf(zip_derived_cl168, plain, 53.29/7.38 (![X2 : a > $o]: 53.29/7.38 (~ (((((X2 @ ('#sk219' @ X2)) & ('#sk1' @ ('#sk219' @ X2) @ 53.29/7.38 ('#sk270' @ X2)))) => 53.29/7.38 (X2 @ ('#sk270' @ X2)))) 53.29/7.38 | ('#sk1' @ '#sk10' @ ('#sk129' @ X2)) 53.29/7.38 | ~ ('#form46') 53.29/7.38 | (X2 @ '#sk12'))), 53.29/7.38 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl151])). 53.29/7.38 thf(zip_derived_cl177, plain, 53.29/7.38 (![X2 : a > $o]: 53.29/7.38 ( (((X2 @ ('#sk219' @ X2)) & ('#sk1' @ ('#sk219' @ X2) @ 53.29/7.38 ('#sk270' @ X2)))) 53.29/7.38 | (X2 @ '#sk12') 53.29/7.38 | ~ ('#form46') 53.29/7.38 | ('#sk1' @ '#sk10' @ ('#sk129' @ X2)))), 53.29/7.38 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl168])). 53.29/7.38 thf(zip_derived_cl184, plain, 53.29/7.38 (![X2 : a > $o]: 53.29/7.38 ( (X2 @ ('#sk219' @ X2)) 53.29/7.38 | ('#sk1' @ '#sk10' @ ('#sk129' @ X2)) 53.29/7.38 | ~ ('#form46') 53.29/7.38 | (X2 @ '#sk12'))), 53.29/7.38 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl177])). 53.29/7.38 thf(zip_derived_cl85, plain, 53.29/7.38 (( (((!!) @ (^[Y0 : a]: 53.29/7.38 (((!!) @ (^[Y1 : a]: 53.29/7.38 ((((('#sk20' @ Y0) & 53.29/7.38 ((('#sk2' @ Y0 @ Y1) | ('#sk1' @ Y0 @ Y1))))) => 53.29/7.38 ('#sk20' @ Y1))))))))) 53.29/7.38 | ('#form9'))), 53.29/7.38 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl71])). 53.29/7.38 thf(zip_derived_cl95, plain, 53.29/7.38 (![X2 : a]: 53.29/7.38 ( (((!!) @ (^[Y0 : a]: 53.29/7.38 ((((('#sk20' @ X2) & 53.29/7.38 ((('#sk2' @ X2 @ Y0) | ('#sk1' @ X2 @ Y0))))) => 53.29/7.38 ('#sk20' @ Y0)))))) 53.29/7.38 | ('#form9'))), 53.29/7.38 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl85])). 53.29/7.38 thf(zip_derived_cl110, plain, 53.29/7.38 (![X2 : a, X4 : a]: 53.29/7.38 ( ((((('#sk20' @ X2) & ((('#sk2' @ X2 @ X4) | ('#sk1' @ X2 @ X4))))) => 53.29/7.38 ('#sk20' @ X4))) 53.29/7.38 | ('#form9'))), 53.29/7.38 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl95])). 53.29/7.38 thf(zip_derived_cl124, plain, 53.29/7.38 (![X2 : a, X4 : a]: 53.29/7.38 (~ ((('#sk20' @ X2) & ((('#sk2' @ X2 @ X4) | ('#sk1' @ X2 @ X4))))) 53.29/7.38 | ('#sk20' @ X4) 53.29/7.38 | ('#form9'))), 53.29/7.38 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl110])). 53.29/7.38 thf(zip_derived_cl141, plain, 53.29/7.38 (![X2 : a, X4 : a]: 53.29/7.38 (~ ('#sk20' @ X2) 53.29/7.38 | ~ ((('#sk2' @ X2 @ X4) | ('#sk1' @ X2 @ X4))) 53.29/7.38 | ('#form9') 53.29/7.38 | ('#sk20' @ X4))), 53.29/7.38 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl124])). 53.29/7.38 thf(zip_derived_cl154, plain, 53.29/7.38 (![X2 : a, X4 : a]: 53.29/7.38 (~ ('#sk1' @ X2 @ X4) 53.29/7.38 | ('#sk20' @ X4) 53.29/7.38 | ('#form9') 53.29/7.38 | ~ ('#sk20' @ X2))), 53.29/7.38 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl141])). 53.29/7.38 thf(zip_derived_cl178, plain, 53.29/7.38 (![X2 : a > $o]: 53.29/7.38 (~ (X2 @ ('#sk270' @ X2)) 53.29/7.38 | (X2 @ '#sk12') 53.29/7.38 | ~ ('#form46') 53.29/7.38 | ('#sk1' @ '#sk10' @ ('#sk129' @ X2)))), 53.29/7.38 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl168])). 53.29/7.38 thf(zip_derived_cl185, plain, 53.29/7.38 (![X2 : a > $o]: 53.29/7.38 ( ('#sk1' @ ('#sk219' @ X2) @ ('#sk270' @ X2)) 53.29/7.38 | ('#sk1' @ '#sk10' @ ('#sk129' @ X2)) 53.29/7.38 | ~ ('#form46') 53.29/7.38 | (X2 @ '#sk12'))), 53.29/7.38 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl177])). 53.29/7.38 thf(zip_derived_cl67, plain, 53.29/7.38 (![X2 : a > $o]: 53.29/7.38 ( (((((((!!) @ (^[Y0 : a]: 53.29/7.38 (((!!) @ (^[Y1 : a]: 53.29/7.38 (((((X2 @ Y0) & ('#sk2' @ Y0 @ Y1))) => 53.29/7.38 (X2 @ Y1))))))))) & 53.29/7.38 (((!!) @ (^[Y0 : a]: ((('#sk2' @ '#sk10' @ Y0) => (X2 @ Y0)))))))) => 53.29/7.38 (X2 @ '#sk12'))) 53.29/7.38 | ('#form9') 53.29/7.38 | (((!!) @ (^[Y0 : a > $o]: 53.29/7.38 (((((((!!) @ (^[Y1 : a]: 53.29/7.38 ((('#sk1' @ '#sk10' @ Y1) => (Y0 @ Y1)))))) & 53.29/7.38 (((!!) @ (^[Y1 : a]: 53.29/7.38 (((!!) @ (^[Y2 : a]: 53.29/7.38 (((((Y0 @ Y1) & ('#sk1' @ 53.29/7.38 Y1 @ Y2))) => 53.29/7.38 (Y0 @ Y2))))))))))) => 53.29/7.38 (Y0 @ '#sk12')))))))), 53.29/7.38 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl57])). 53.29/7.38 thf(zip_derived_cl68, plain, 53.29/7.38 (( (((((((!!) @ (^[Y0 : a]: 53.29/7.38 (((!!) @ (^[Y1 : a]: 53.29/7.38 ((((('#sk20' @ Y0) & ('#sk2' @ Y0 @ Y1))) => 53.29/7.38 ('#sk20' @ Y1))))))))) & 53.29/7.38 (((!!) @ (^[Y0 : a]: ((('#sk2' @ '#sk10' @ Y0) => ('#sk20' @ Y0)))))))) => 53.29/7.38 ('#sk20' @ '#sk12'))) 53.29/7.38 | ('#form9') 53.29/7.38 | (((!!) @ (^[Y0 : a > $o]: 53.29/7.38 (((((((!!) @ (^[Y1 : a]: 53.29/7.38 ((('#sk1' @ '#sk10' @ Y1) => (Y0 @ Y1)))))) & 53.29/7.38 (((!!) @ (^[Y1 : a]: 53.29/7.38 (((!!) @ (^[Y2 : a]: 53.29/7.38 (((((Y0 @ Y1) & ('#sk1' @ 53.29/7.38 Y1 @ Y2))) => 53.29/7.38 (Y0 @ Y2))))))))))) => 53.29/7.38 (Y0 @ '#sk12')))))))), 53.29/7.38 inference('triggered_bool_instantiation', [status(thm)], 53.29/7.38 [zip_derived_cl67])). 53.29/7.38 thf(zip_derived_cl78, plain, 53.29/7.38 ((~ ('#form46') 53.29/7.38 | (((!!) @ (^[Y0 : a > $o]: 53.29/7.38 (((((((!!) @ (^[Y1 : a]: 53.29/7.38 ((('#sk1' @ '#sk10' @ Y1) => (Y0 @ Y1)))))) & 53.29/7.38 (((!!) @ (^[Y1 : a]: 53.29/7.38 (((!!) @ (^[Y2 : a]: 53.29/7.38 (((((Y0 @ Y1) & ('#sk1' @ 53.29/7.38 Y1 @ Y2))) => 53.29/7.38 (Y0 @ Y2))))))))))) => 53.29/7.38 (Y0 @ '#sk12')))))))), 53.29/7.38 define([status(thm)])). 53.29/7.38 thf(zip_derived_cl271, plain, 53.29/7.38 (( ('#form46') 53.29/7.38 | ('#form9') 53.29/7.38 | (((((((!!) @ (^[Y0 : a]: 53.29/7.38 (((!!) @ (^[Y1 : a]: 53.29/7.38 ((((('#sk20' @ Y0) & ('#sk2' @ Y0 @ Y1))) => 53.29/7.38 ('#sk20' @ Y1))))))))) & 53.29/7.38 (((!!) @ (^[Y0 : a]: 53.29/7.38 ((('#sk2' @ '#sk10' @ Y0) => ('#sk20' @ Y0)))))))) => 53.29/7.38 ('#sk20' @ '#sk12'))))), 53.29/7.38 inference('renaming', [status(thm)], [zip_derived_cl68, zip_derived_cl78])). 53.29/7.38 thf(zip_derived_cl272, plain, 53.29/7.38 ((~ (((((!!) @ (^[Y0 : a]: 53.29/7.38 (((!!) @ (^[Y1 : a]: 53.29/7.38 ((((('#sk20' @ Y0) & ('#sk2' @ Y0 @ Y1))) => 53.29/7.38 ('#sk20' @ Y1))))))))) & 53.29/7.38 (((!!) @ (^[Y0 : a]: ((('#sk2' @ '#sk10' @ Y0) => ('#sk20' @ Y0)))))))) 53.29/7.38 | ('#sk20' @ '#sk12') 53.29/7.38 | ('#form9') 53.29/7.38 | ('#form46'))), 53.29/7.38 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl271])). 53.29/7.38 thf(zip_derived_cl72, plain, ((~ ('#sk20' @ '#sk12') | ('#form9'))), 53.29/7.38 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl61])). 53.29/7.38 thf(zip_derived_cl273, plain, 53.29/7.38 (( ('#form46') 53.29/7.38 | ('#form9') 53.29/7.38 | ~ (((((!!) @ (^[Y0 : a]: 53.29/7.38 (((!!) @ (^[Y1 : a]: 53.29/7.38 ((((('#sk20' @ Y0) & ('#sk2' @ Y0 @ Y1))) => 53.29/7.38 ('#sk20' @ Y1))))))))) & 53.29/7.38 (((!!) @ (^[Y0 : a]: 53.29/7.38 ((('#sk2' @ '#sk10' @ Y0) => ('#sk20' @ Y0)))))))))), 53.29/7.38 inference('clc', [status(thm)], [zip_derived_cl272, zip_derived_cl72])). 53.29/7.38 thf(zip_derived_cl274, plain, 53.29/7.38 ((~ (((!!) @ (^[Y0 : a]: 53.29/7.38 (((!!) @ (^[Y1 : a]: 53.29/7.38 ((((('#sk20' @ Y0) & ('#sk2' @ Y0 @ Y1))) => 53.29/7.38 ('#sk20' @ Y1))))))))) 53.29/7.38 | ~ (((!!) @ (^[Y0 : a]: ((('#sk2' @ '#sk10' @ Y0) => ('#sk20' @ Y0)))))) 53.29/7.38 | ('#form9') 53.29/7.38 | ('#form46'))), 53.29/7.38 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl273])). 53.29/7.38 thf(zip_derived_cl67, plain, 53.29/7.38 (![X2 : a > $o]: 53.29/7.38 ( (((((((!!) @ (^[Y0 : a]: 53.29/7.38 (((!!) @ (^[Y1 : a]: 53.29/7.38 (((((X2 @ Y0) & ('#sk2' @ Y0 @ Y1))) => 53.29/7.38 (X2 @ Y1))))))))) & 53.29/7.38 (((!!) @ (^[Y0 : a]: ((('#sk2' @ '#sk10' @ Y0) => (X2 @ Y0)))))))) => 53.29/7.38 (X2 @ '#sk12'))) 53.29/7.38 | ('#form9') 53.29/7.38 | (((!!) @ (^[Y0 : a > $o]: 53.29/7.38 (((((((!!) @ (^[Y1 : a]: 53.29/7.38 ((('#sk1' @ '#sk10' @ Y1) => (Y0 @ Y1)))))) & 53.29/7.38 (((!!) @ (^[Y1 : a]: 53.29/7.38 (((!!) @ (^[Y2 : a]: 53.29/7.38 (((((Y0 @ Y1) & ('#sk1' @ 53.29/7.38 Y1 @ Y2))) => 53.29/7.38 (Y0 @ Y2))))))))))) => 53.29/7.38 (Y0 @ '#sk12')))))))), 53.29/7.38 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl57])). 53.29/7.38 thf(zip_derived_cl78, plain, 53.29/7.38 ((~ ('#form46') 53.29/7.38 | (((!!) @ (^[Y0 : a > $o]: 53.29/7.38 (((((((!!) @ (^[Y1 : a]: 53.29/7.38 ((('#sk1' @ '#sk10' @ Y1) => (Y0 @ Y1)))))) & 53.29/7.38 (((!!) @ (^[Y1 : a]: 53.29/7.38 (((!!) @ (^[Y2 : a]: 53.29/7.38 (((((Y0 @ Y1) & ('#sk1' @ 53.29/7.38 Y1 @ Y2))) => 53.29/7.38 (Y0 @ Y2))))))))))) => 53.29/7.38 (Y0 @ '#sk12')))))))), 53.29/7.38 define([status(thm)])). 53.29/7.38 thf(zip_derived_cl83, plain, 53.29/7.38 (![X2 : a > $o]: 53.29/7.38 ( ('#form46') 53.29/7.38 | ('#form9') 53.29/7.38 | (((((((!!) @ (^[Y0 : a]: 53.29/7.38 (((!!) @ (^[Y1 : a]: 53.29/7.38 (((((X2 @ Y0) & ('#sk2' @ Y0 @ Y1))) => 53.29/7.38 (X2 @ Y1))))))))) & 53.29/7.38 (((!!) @ (^[Y0 : a]: ((('#sk2' @ '#sk10' @ Y0) => (X2 @ Y0)))))))) => 53.29/7.38 (X2 @ '#sk12'))))), 53.29/7.38 inference('renaming', [status(thm)], [zip_derived_cl67, zip_derived_cl78])). 53.29/7.38 thf(zip_derived_cl92, plain, 53.29/7.38 (![X2 : a > $o]: 53.29/7.38 (~ (((((!!) @ (^[Y0 : a]: 53.29/7.38 (((!!) @ (^[Y1 : a]: 53.29/7.38 (((((X2 @ Y0) & ('#sk2' @ Y0 @ Y1))) => 53.29/7.38 (X2 @ Y1))))))))) & 53.29/7.38 (((!!) @ (^[Y0 : a]: ((('#sk2' @ '#sk10' @ Y0) => (X2 @ Y0)))))))) 53.29/7.38 | (X2 @ '#sk12') 53.29/7.38 | ('#form9') 53.29/7.38 | ('#form46'))), 53.29/7.38 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl83])). 53.29/7.38 thf(zip_derived_cl107, plain, 53.29/7.38 (![X2 : a > $o]: 53.29/7.38 (~ (((!!) @ (^[Y0 : a]: 53.29/7.38 (((!!) @ (^[Y1 : a]: 53.29/7.38 (((((X2 @ Y0) & ('#sk2' @ Y0 @ Y1))) => 53.29/7.38 (X2 @ Y1))))))))) 53.29/7.38 | ~ (((!!) @ (^[Y0 : a]: ((('#sk2' @ '#sk10' @ Y0) => (X2 @ Y0)))))) 53.29/7.38 | ('#form46') 53.29/7.38 | ('#form9') 53.29/7.38 | (X2 @ '#sk12'))), 53.29/7.38 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl92])). 53.29/7.38 thf(zip_derived_cl120, plain, 53.29/7.38 (![X2 : a > $o]: 53.29/7.38 (~ (((!!) @ (^[Y0 : a]: 53.29/7.38 (((((X2 @ ('#sk125' @ X2)) & ('#sk2' @ 53.29/7.38 ('#sk125' @ X2) @ Y0))) => 53.29/7.38 (X2 @ Y0)))))) 53.29/7.38 | (X2 @ '#sk12') 53.29/7.38 | ('#form9') 53.29/7.38 | ('#form46') 53.29/7.38 | ~ (((!!) @ (^[Y0 : a]: ((('#sk2' @ '#sk10' @ Y0) => (X2 @ Y0)))))))), 53.29/7.38 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl107])). 53.29/7.38 thf(zip_derived_cl138, plain, 53.29/7.38 (![X2 : a > $o]: 53.29/7.38 (~ (((((X2 @ ('#sk125' @ X2)) & ('#sk2' @ ('#sk125' @ X2) @ 53.29/7.38 ('#sk172' @ X2)))) => 53.29/7.38 (X2 @ ('#sk172' @ X2)))) 53.29/7.38 | ~ (((!!) @ (^[Y0 : a]: ((('#sk2' @ '#sk10' @ Y0) => (X2 @ Y0)))))) 53.29/7.38 | ('#form46') 53.29/7.38 | ('#form9') 53.29/7.38 | (X2 @ '#sk12'))), 53.29/7.38 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl120])). 53.29/7.38 thf(zip_derived_cl150, plain, 53.29/7.38 (![X2 : a > $o]: 53.29/7.38 (~ (X2 @ ('#sk172' @ X2)) 53.29/7.38 | (X2 @ '#sk12') 53.29/7.38 | ('#form9') 53.29/7.38 | ('#form46') 53.29/7.38 | ~ (((!!) @ (^[Y0 : a]: ((('#sk2' @ '#sk10' @ Y0) => (X2 @ Y0)))))))), 53.29/7.38 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl138])). 53.29/7.38 thf(zip_derived_cl165, plain, 53.29/7.38 (![X2 : a > $o]: 53.29/7.38 ( ('#form264' @ X2) 53.29/7.38 | ~ (((!!) @ (^[Y0 : a]: ((('#sk2' @ '#sk10' @ Y0) => (X2 @ Y0)))))))), 53.29/7.38 define([status(thm)])). 53.29/7.38 thf(zip_derived_cl275, plain, 53.29/7.38 ((~ ('#form264' @ '#sk20') 53.29/7.38 | ('#form46') 53.29/7.38 | ('#form9') 53.29/7.38 | ~ (((!!) @ (^[Y0 : a]: 53.29/7.38 (((!!) @ (^[Y1 : a]: 53.29/7.38 ((((('#sk20' @ Y0) & ('#sk2' @ Y0 @ Y1))) => 53.29/7.38 ('#sk20' @ Y1))))))))))), 53.29/7.38 inference('renaming', [status(thm)], 53.29/7.38 [zip_derived_cl274, zip_derived_cl165])). 53.29/7.38 thf(zip_derived_cl276, plain, 53.29/7.38 ((~ (((!!) @ (^[Y0 : a]: 53.29/7.38 ((((('#sk20' @ ('#sk125' @ '#sk20')) & ('#sk2' @ 53.29/7.38 ('#sk125' @ '#sk20') @ Y0))) => 53.29/7.38 ('#sk20' @ Y0)))))) 53.29/7.38 | ('#form9') 53.29/7.38 | ('#form46') 53.29/7.38 | ~ ('#form264' @ '#sk20'))), 53.29/7.38 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl275])). 53.29/7.38 thf(zip_derived_cl277, plain, 53.29/7.38 ((~ ((((('#sk20' @ ('#sk125' @ '#sk20')) & ('#sk2' @ 53.29/7.38 ('#sk125' @ '#sk20') @ ('#sk172' @ '#sk20')))) => 53.29/7.38 ('#sk20' @ ('#sk172' @ '#sk20')))) 53.29/7.38 | ~ ('#form264' @ '#sk20') 53.29/7.38 | ('#form46') 53.29/7.38 | ('#form9'))), 53.29/7.38 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl276])). 53.29/7.38 thf(zip_derived_cl278, plain, 53.29/7.38 (( ((('#sk20' @ ('#sk125' @ '#sk20')) & ('#sk2' @ ('#sk125' @ '#sk20') @ 53.29/7.38 ('#sk172' @ '#sk20')))) 53.29/7.38 | ('#form9') 53.29/7.38 | ('#form46') 53.29/7.38 | ~ ('#form264' @ '#sk20'))), 53.29/7.38 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl277])). 53.29/7.38 thf(zip_derived_cl280, plain, 53.29/7.38 (( ('#sk20' @ ('#sk125' @ '#sk20')) 53.29/7.38 | ~ ('#form264' @ '#sk20') 53.29/7.38 | ('#form46') 53.29/7.38 | ('#form9'))), 53.29/7.38 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl278])). 53.29/7.38 thf(zip_derived_cl21, plain, 53.29/7.38 (( (((((!!) @ (^[Y0 : a > $o]: 53.29/7.38 (((((((!!) @ (^[Y1 : a]: 53.29/7.38 ((((('#sk1' @ '#sk7' @ Y1) | ('#sk2' @ 53.29/7.38 '#sk7' @ Y1))) => 53.29/7.38 (Y0 @ Y1)))))) & 53.29/7.38 (((!!) @ (^[Y1 : a]: 53.29/7.38 (((!!) @ (^[Y2 : a]: 53.29/7.38 (((((Y0 @ Y1) & 53.29/7.38 ((('#sk1' @ Y1 @ Y2) | 53.29/7.38 ('#sk2' @ Y1 @ Y2))))) => 53.29/7.38 (Y0 @ Y2))))))))))) => 53.29/7.38 (Y0 @ '#sk8')))))) & 53.29/7.38 (((!!) @ (^[Y0 : a > $o]: 53.29/7.38 (((((((!!) @ (^[Y1 : a]: 53.29/7.38 (((!!) @ (^[Y2 : a]: 53.29/7.38 ((((((('#sk2' @ Y1 @ Y2) | 53.29/7.38 ('#sk1' @ Y1 @ Y2))) & 53.29/7.38 (Y0 @ Y1))) => 53.29/7.38 (Y0 @ Y2))))))))) & 53.29/7.38 (((!!) @ (^[Y1 : a]: 53.29/7.38 ((((('#sk1' @ '#sk6' @ Y1) | ('#sk2' @ 53.29/7.38 '#sk6' @ Y1))) => 53.29/7.38 (Y0 @ Y1)))))))) => 53.29/7.38 (Y0 @ '#sk7')))))))) 53.29/7.38 | ~ (((!!) @ (^[Y0 : a]: 53.29/7.38 (((!!) @ (^[Y1 : a]: 53.29/7.38 (((((((!!) @ (^[Y2 : a > $o]: 53.29/7.38 (((((((!!) @ (^[Y3 : a]: 53.29/7.38 (((!!) @ ( 53.29/7.38 ^[Y4 : a]: 53.29/7.38 (( 53.29/7.38 (( 53.29/7.38 (Y2 @ 53.29/7.38 Y3) & 53.29/7.38 ('#sk2' @ 53.29/7.38 Y3 @ Y4))) => 53.29/7.38 (Y2 @ Y4))))))))) & 53.29/7.38 (((!!) @ (^[Y3 : a]: 53.29/7.38 ((('#sk2' @ 53.29/7.38 Y0 @ 53.29/7.38 Y3) => 53.29/7.38 (Y2 @ Y3)))))))) => 53.29/7.38 (Y2 @ Y1)))))) | 53.29/7.38 (((!!) @ (^[Y2 : a > $o]: 53.29/7.38 (((((((!!) @ (^[Y3 : a]: 53.29/7.38 ((('#sk1' @ 53.29/7.38 Y0 @ 53.29/7.38 Y3) => 53.29/7.38 (Y2 @ Y3)))))) & 53.29/7.38 (((!!) @ (^[Y3 : a]: 53.29/7.38 (((!!) @ ( 53.29/7.38 ^[Y4 : a]: 53.29/7.38 (( 53.29/7.38 (( 53.29/7.38 (Y2 @ 53.29/7.38 Y3) & 53.29/7.38 ('#sk1' @ 53.29/7.38 Y3 @ Y4))) => 53.29/7.38 (Y2 @ Y4))))))))))) => 53.29/7.38 (Y2 @ Y1)))))))) => 53.29/7.38 (((!!) @ (^[Y2 : a > $o]: 53.29/7.38 (((((((!!) @ (^[Y3 : a]: 53.29/7.38 ((((('#sk1' @ 53.29/7.38 Y0 @ 53.29/7.38 Y3) | 53.29/7.38 ('#sk2' @ 53.29/7.38 Y0 @ Y3))) => 53.29/7.38 (Y2 @ Y3)))))) & 53.29/7.38 (((!!) @ (^[Y3 : a]: 53.29/7.38 (((!!) @ ( 53.29/7.38 ^[Y4 : a]: 53.29/7.38 ( 53.29/7.38 ( 53.29/7.38 (( 53.29/7.38 (Y2 @ 53.29/7.38 Y3) & 53.29/7.38 (( 53.29/7.38 ('#sk2' @ 53.29/7.38 Y3 @ 53.29/7.38 Y4) | 53.29/7.38 ('#sk1' @ 53.29/7.38 Y3 @ Y4))))) => 53.29/7.38 (Y2 @ Y4))))))))))) => 53.29/7.38 (Y2 @ Y1)))))))))))))) 53.29/7.38 | (((!!) @ (^[Y0 : a > $o]: 53.29/7.38 (((((((!!) @ (^[Y1 : a]: 53.29/7.38 (((!!) @ (^[Y2 : a]: 53.29/7.38 (((((Y0 @ Y1) & 53.29/7.38 ((('#sk1' @ Y1 @ Y2) | 53.29/7.38 ('#sk2' @ Y1 @ Y2))))) => 53.29/7.38 (Y0 @ Y2))))))))) & 53.29/7.38 (((!!) @ (^[Y1 : a]: 53.29/7.38 ((((('#sk1' @ '#sk3' @ Y1) | ('#sk2' @ 53.29/7.38 '#sk3' @ Y1))) => 53.29/7.38 (Y0 @ Y1)))))))) => 53.29/7.38 (Y0 @ '#sk4')))))))), 53.29/7.38 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl18])). 53.29/7.38 thf(zip_derived_cl26, plain, 53.29/7.38 (( (((!!) @ (^[Y0 : a > $o]: 53.29/7.38 (((((((!!) @ (^[Y1 : a]: 53.29/7.38 ((((('#sk1' @ '#sk7' @ Y1) | ('#sk2' @ 53.29/7.38 '#sk7' @ Y1))) => 53.29/7.38 (Y0 @ Y1)))))) & 53.29/7.38 (((!!) @ (^[Y1 : a]: 53.29/7.38 (((!!) @ (^[Y2 : a]: 53.29/7.38 (((((Y0 @ Y1) & 53.29/7.38 ((('#sk1' @ Y1 @ Y2) | 53.29/7.38 ('#sk2' @ Y1 @ Y2))))) => 53.29/7.38 (Y0 @ Y2))))))))))) => 53.29/7.38 (Y0 @ '#sk8')))))) 53.29/7.38 | (((!!) @ (^[Y0 : a > $o]: 53.29/7.38 (((((((!!) @ (^[Y1 : a]: 53.29/7.38 (((!!) @ (^[Y2 : a]: 53.29/7.38 (((((Y0 @ Y1) & 53.29/7.38 ((('#sk1' @ Y1 @ Y2) | 53.29/7.38 ('#sk2' @ Y1 @ Y2))))) => 53.29/7.38 (Y0 @ Y2))))))))) & 53.29/7.38 (((!!) @ (^[Y1 : a]: 53.29/7.38 ((((('#sk1' @ '#sk3' @ Y1) | ('#sk2' @ 53.29/7.38 '#sk3' @ Y1))) => 53.29/7.38 (Y0 @ Y1)))))))) => 53.29/7.38 (Y0 @ '#sk4')))))) 53.29/7.38 | ~ (((!!) @ (^[Y0 : a]: 53.29/7.38 (((!!) @ (^[Y1 : a]: 53.29/7.38 (((((((!!) @ (^[Y2 : a > $o]: 53.29/7.38 (((((((!!) @ (^[Y3 : a]: 53.29/7.38 (((!!) @ ( 53.29/7.38 ^[Y4 : a]: 53.29/7.38 (( 53.29/7.38 (( 53.29/7.38 (Y2 @ 53.29/7.38 Y3) & 53.29/7.38 ('#sk2' @ 53.29/7.38 Y3 @ Y4))) => 53.29/7.38 (Y2 @ Y4))))))))) & 53.29/7.38 (((!!) @ (^[Y3 : a]: 53.29/7.38 ((('#sk2' @ 53.29/7.38 Y0 @ 53.29/7.38 Y3) => 53.29/7.38 (Y2 @ Y3)))))))) => 53.29/7.38 (Y2 @ Y1)))))) | 53.29/7.38 (((!!) @ (^[Y2 : a > $o]: 53.29/7.38 (((((((!!) @ (^[Y3 : a]: 53.29/7.38 ((('#sk1' @ 53.29/7.38 Y0 @ 53.29/7.38 Y3) => 53.29/7.38 (Y2 @ Y3)))))) & 53.29/7.38 (((!!) @ (^[Y3 : a]: 53.29/7.38 (((!!) @ ( 53.29/7.38 ^[Y4 : a]: 53.29/7.38 (( 53.29/7.38 (( 53.29/7.38 (Y2 @ 53.29/7.38 Y3) & 53.29/7.38 ('#sk1' @ 53.29/7.38 Y3 @ Y4))) => 53.29/7.38 (Y2 @ Y4))))))))))) => 53.29/7.38 (Y2 @ Y1)))))))) => 53.29/7.38 (((!!) @ (^[Y2 : a > $o]: 53.29/7.38 (((((((!!) @ (^[Y3 : a]: 53.29/7.38 ((((('#sk1' @ 53.29/7.38 Y0 @ 53.29/7.38 Y3) | 53.29/7.38 ('#sk2' @ 53.29/7.38 Y0 @ Y3))) => 53.29/7.38 (Y2 @ Y3)))))) & 53.29/7.38 (((!!) @ (^[Y3 : a]: 53.29/7.38 (((!!) @ ( 53.29/7.38 ^[Y4 : a]: 53.29/7.38 ( 53.29/7.38 ( 53.29/7.38 (( 53.29/7.38 (Y2 @ 53.29/7.38 Y3) & 53.29/7.38 (( 53.29/7.38 ('#sk2' @ 53.29/7.38 Y3 @ 53.29/7.38 Y4) | 53.29/7.38 ('#sk1' @ 53.29/7.38 Y3 @ Y4))))) => 53.29/7.38 (Y2 @ Y4))))))))))) => 53.29/7.38 (Y2 @ Y1)))))))))))))))), 53.29/7.38 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl21])). 53.29/7.38 thf(zip_derived_cl26, plain, 53.29/7.38 (( (((!!) @ (^[Y0 : a > $o]: 53.29/7.38 (((((((!!) @ (^[Y1 : a]: 53.29/7.38 ((((('#sk1' @ '#sk7' @ Y1) | ('#sk2' @ 53.29/7.38 '#sk7' @ Y1))) => 53.29/7.38 (Y0 @ Y1)))))) & 53.29/7.38 (((!!) @ (^[Y1 : a]: 53.29/7.38 (((!!) @ (^[Y2 : a]: 53.29/7.38 (((((Y0 @ Y1) & 53.29/7.38 ((('#sk1' @ Y1 @ Y2) | 53.29/7.38 ('#sk2' @ Y1 @ Y2))))) => 53.29/7.38 (Y0 @ Y2))))))))))) => 53.29/7.38 (Y0 @ '#sk8')))))) 53.29/7.38 | (((!!) @ (^[Y0 : a > $o]: 53.29/7.38 (((((((!!) @ (^[Y1 : a]: 53.29/7.38 (((!!) @ (^[Y2 : a]: 53.29/7.38 (((((Y0 @ Y1) & 53.29/7.38 ((('#sk1' @ Y1 @ Y2) | 53.29/7.38 ('#sk2' @ Y1 @ Y2))))) => 53.29/7.38 (Y0 @ Y2))))))))) & 53.29/7.38 (((!!) @ (^[Y1 : a]: 53.29/7.38 ((((('#sk1' @ '#sk3' @ Y1) | ('#sk2' @ 53.29/7.38 '#sk3' @ Y1))) => 53.29/7.38 (Y0 @ Y1)))))))) => 53.29/7.38 (Y0 @ '#sk4')))))) 53.29/7.38 | ~ (((!!) @ (^[Y0 : a]: 53.29/7.38 (((!!) @ (^[Y1 : a]: 53.29/7.38 (((((((!!) @ (^[Y2 : a > $o]: 53.29/7.38 (((((((!!) @ (^[Y3 : a]: 53.29/7.38 (((!!) @ ( 53.29/7.38 ^[Y4 : a]: 53.29/7.38 (( 53.29/7.38 (( 53.29/7.38 (Y2 @ 53.29/7.38 Y3) & 53.29/7.38 ('#sk2' @ 53.29/7.38 Y3 @ Y4))) => 53.29/7.38 (Y2 @ Y4))))))))) & 53.29/7.38 (((!!) @ (^[Y3 : a]: 53.29/7.38 ((('#sk2' @ 53.29/7.38 Y0 @ 53.29/7.38 Y3) => 53.29/7.38 (Y2 @ Y3)))))))) => 53.29/7.38 (Y2 @ Y1)))))) | 53.29/7.38 (((!!) @ (^[Y2 : a > $o]: 53.29/7.38 (((((((!!) @ (^[Y3 : a]: 53.29/7.38 ((('#sk1' @ 53.29/7.38 Y0 @ 53.29/7.38 Y3) => 53.29/7.38 (Y2 @ Y3)))))) & 53.29/7.38 (((!!) @ (^[Y3 : a]: 53.29/7.38 (((!!) @ ( 53.29/7.38 ^[Y4 : a]: 53.29/7.38 (( 53.29/7.38 (( 53.29/7.38 (Y2 @ 53.29/7.38 Y3) & 53.29/7.38 ('#sk1' @ 53.29/7.38 Y3 @ Y4))) => 53.29/7.38 (Y2 @ Y4))))))))))) => 53.29/7.38 (Y2 @ Y1)))))))) => 53.29/7.38 (((!!) @ (^[Y2 : a > $o]: 53.29/7.38 (((((((!!) @ (^[Y3 : a]: 53.29/7.38 ((((('#sk1' @ 53.29/7.38 Y0 @ 53.29/7.38 Y3) | 53.29/7.38 ('#sk2' @ 53.29/7.38 Y0 @ Y3))) => 53.29/7.38 (Y2 @ Y3)))))) & 53.29/7.38 (((!!) @ (^[Y3 : a]: 53.29/7.38 (((!!) @ ( 53.29/7.38 ^[Y4 : a]: 53.29/7.38 ( 53.29/7.38 ( 53.29/7.38 (( 53.29/7.38 (Y2 @ 53.29/7.38 Y3) & 53.29/7.38 (( 53.29/7.38 ('#sk2' @ 53.29/7.38 Y3 @ 53.29/7.38 Y4) | 53.29/7.38 ('#sk1' @ 53.29/7.38 Y3 @ Y4))))) => 53.29/7.38 (Y2 @ Y4))))))))))) => 53.29/7.38 (Y2 @ Y1)))))))))))))))), 53.29/7.38 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl21])). 53.29/7.38 thf(zip_derived_cl32, plain, 53.29/7.38 ((~ ('#form11') 53.29/7.38 | (((!!) @ (^[Y0 : a > $o]: 53.29/7.38 (((((((!!) @ (^[Y1 : a]: 53.29/7.38 (((!!) @ (^[Y2 : a]: 53.29/7.38 (((((Y0 @ Y1) & 53.29/7.38 ((('#sk1' @ Y1 @ Y2) | 53.29/7.38 ('#sk2' @ Y1 @ Y2))))) => 53.29/7.38 (Y0 @ Y2))))))))) & 53.29/7.38 (((!!) @ (^[Y1 : a]: 53.29/7.38 ((((('#sk1' @ '#sk3' @ Y1) | ('#sk2' @ 53.29/7.38 '#sk3' @ Y1))) => 53.29/7.38 (Y0 @ Y1)))))))) => 53.29/7.38 (Y0 @ '#sk4')))))))), 53.29/7.38 define([status(thm)])). 53.29/7.38 thf(zip_derived_cl35, plain, 53.29/7.38 (( ('#form11') 53.29/7.38 | ~ (((!!) @ (^[Y0 : a]: 53.29/7.38 (((!!) @ (^[Y1 : a]: 53.29/7.38 (((((((!!) @ (^[Y2 : a > $o]: 53.29/7.38 (((((((!!) @ (^[Y3 : a]: 53.29/7.38 (((!!) @ ( 53.29/7.38 ^[Y4 : a]: 53.29/7.38 (( 53.29/7.38 (( 53.29/7.38 (Y2 @ 53.29/7.38 Y3) & 53.29/7.38 ('#sk2' @ 53.29/7.38 Y3 @ Y4))) => 53.29/7.38 (Y2 @ Y4))))))))) & 53.29/7.38 (((!!) @ (^[Y3 : a]: 53.29/7.38 ((('#sk2' @ 53.29/7.38 Y0 @ 53.29/7.38 Y3) => 53.29/7.38 (Y2 @ Y3)))))))) => 53.29/7.38 (Y2 @ Y1)))))) | 53.29/7.38 (((!!) @ (^[Y2 : a > $o]: 53.29/7.38 (((((((!!) @ (^[Y3 : a]: 53.29/7.38 ((('#sk1' @ 53.29/7.38 Y0 @ 53.29/7.38 Y3) => 53.29/7.38 (Y2 @ Y3)))))) & 53.29/7.38 (((!!) @ (^[Y3 : a]: 53.29/7.38 (((!!) @ ( 53.29/7.38 ^[Y4 : a]: 53.29/7.38 (( 53.29/7.38 (( 53.29/7.38 (Y2 @ 53.29/7.38 Y3) & 53.29/7.38 ('#sk1' @ 53.29/7.38 Y3 @ Y4))) => 53.29/7.38 (Y2 @ Y4))))))))))) => 53.29/7.38 (Y2 @ Y1)))))))) => 53.29/7.38 (((!!) @ (^[Y2 : a > $o]: 53.29/7.38 (((((((!!) @ (^[Y3 : a]: 53.29/7.38 ((((('#sk1' @ 53.29/7.38 Y0 @ 53.29/7.38 Y3) | 53.29/7.38 ('#sk2' @ 53.29/7.38 Y0 @ Y3))) => 53.29/7.38 (Y2 @ Y3)))))) & 53.29/7.38 (((!!) @ (^[Y3 : a]: 53.29/7.38 (((!!) @ ( 53.29/7.38 ^[Y4 : a]: 53.29/7.38 ( 53.29/7.38 ( 53.29/7.38 (( 53.29/7.38 (Y2 @ 53.29/7.38 Y3) & 53.29/7.38 (( 53.29/7.38 ('#sk2' @ 53.29/7.38 Y3 @ 53.29/7.38 Y4) | 53.29/7.38 ('#sk1' @ 53.29/7.38 Y3 @ Y4))))) => 53.29/7.38 (Y2 @ Y4))))))))))) => 53.29/7.38 (Y2 @ Y1)))))))))))))) 53.29/7.38 | (((!!) @ (^[Y0 : a > $o]: 53.29/7.38 (((((((!!) @ (^[Y1 : a]: 53.29/7.38 ((((('#sk1' @ '#sk7' @ Y1) | ('#sk2' @ 53.29/7.38 '#sk7' @ Y1))) => 53.29/7.38 (Y0 @ Y1)))))) & 53.29/7.38 (((!!) @ (^[Y1 : a]: 53.29/7.38 (((!!) @ (^[Y2 : a]: 53.29/7.38 (((((Y0 @ Y1) & 53.29/7.38 ((('#sk1' @ Y1 @ Y2) | 53.29/7.38 ('#sk2' @ Y1 @ Y2))))) => 53.29/7.38 (Y0 @ Y2))))))))))) => 53.29/7.38 (Y0 @ '#sk8')))))))), 53.29/7.38 inference('renaming', [status(thm)], [zip_derived_cl26, zip_derived_cl32])). 53.29/7.38 thf(zip_derived_cl28, plain, 53.29/7.38 (( ('#form9') 53.29/7.38 | ~ (((!!) @ (^[Y0 : a]: 53.29/7.38 (((!!) @ (^[Y1 : a]: 53.29/7.38 (((((((!!) @ (^[Y2 : a > $o]: 53.29/7.38 (((((((!!) @ (^[Y3 : a]: 53.29/7.38 (((!!) @ ( 53.29/7.39 ^[Y4 : a]: 53.29/7.39 (( 53.29/7.39 (( 53.29/7.39 (Y2 @ 53.29/7.39 Y3) & 53.29/7.39 ('#sk2' @ 53.29/7.39 Y3 @ Y4))) => 53.29/7.39 (Y2 @ Y4))))))))) & 53.29/7.39 (((!!) @ (^[Y3 : a]: 53.29/7.39 ((('#sk2' @ 53.29/7.39 Y0 @ 53.29/7.39 Y3) => 53.29/7.39 (Y2 @ Y3)))))))) => 53.29/7.39 (Y2 @ Y1)))))) | 53.29/7.39 (((!!) @ (^[Y2 : a > $o]: 53.29/7.39 (((((((!!) @ (^[Y3 : a]: 53.29/7.39 ((('#sk1' @ 53.29/7.39 Y0 @ 53.29/7.39 Y3) => 53.29/7.39 (Y2 @ Y3)))))) & 53.29/7.39 (((!!) @ (^[Y3 : a]: 53.29/7.39 (((!!) @ ( 53.29/7.39 ^[Y4 : a]: 53.29/7.39 (( 53.29/7.39 (( 53.29/7.39 (Y2 @ 53.29/7.39 Y3) & 53.29/7.39 ('#sk1' @ 53.29/7.39 Y3 @ Y4))) => 53.29/7.39 (Y2 @ Y4))))))))))) => 53.29/7.39 (Y2 @ Y1)))))))) => 53.29/7.39 (((!!) @ (^[Y2 : a > $o]: 53.29/7.39 (((((((!!) @ (^[Y3 : a]: 53.29/7.39 ((((('#sk1' @ 53.29/7.39 Y0 @ 53.29/7.39 Y3) | 53.29/7.39 ('#sk2' @ 53.29/7.39 Y0 @ Y3))) => 53.29/7.39 (Y2 @ Y3)))))) & 53.29/7.39 (((!!) @ (^[Y3 : a]: 53.29/7.39 (((!!) @ ( 53.29/7.39 ^[Y4 : a]: 53.29/7.39 ( 53.29/7.39 ( 53.29/7.39 (( 53.29/7.39 (Y2 @ 53.29/7.39 Y3) & 53.29/7.39 (( 53.29/7.39 ('#sk2' @ 53.29/7.39 Y3 @ 53.29/7.39 Y4) | 53.29/7.39 ('#sk1' @ 53.29/7.39 Y3 @ Y4))))) => 53.29/7.39 (Y2 @ Y4))))))))))) => 53.29/7.39 (Y2 @ Y1)))))))))))))))), 53.29/7.39 define([status(thm)])). 53.29/7.39 thf(zip_derived_cl41, plain, 53.29/7.39 ((~ ('#form9') 53.29/7.39 | (((!!) @ (^[Y0 : a > $o]: 53.29/7.39 (((((((!!) @ (^[Y1 : a]: 53.29/7.39 ((((('#sk1' @ '#sk7' @ Y1) | ('#sk2' @ 53.29/7.39 '#sk7' @ Y1))) => 53.29/7.39 (Y0 @ Y1)))))) & 53.29/7.39 (((!!) @ (^[Y1 : a]: 53.29/7.39 (((!!) @ (^[Y2 : a]: 53.29/7.39 (((((Y0 @ Y1) & 53.29/7.39 ((('#sk1' @ Y1 @ Y2) | 53.29/7.39 ('#sk2' @ Y1 @ Y2))))) => 53.29/7.39 (Y0 @ Y2))))))))))) => 53.29/7.39 (Y0 @ '#sk8')))))) 53.29/7.39 | ('#form11'))), 53.29/7.39 inference('renaming', [status(thm)], [zip_derived_cl35, zip_derived_cl28])). 53.29/7.39 thf(zip_derived_cl48, plain, 53.29/7.39 (![X2 : a > $o]: 53.29/7.39 ( (((((((!!) @ (^[Y0 : a]: 53.29/7.39 ((((('#sk1' @ '#sk7' @ Y0) | ('#sk2' @ '#sk7' @ Y0))) => 53.29/7.39 (X2 @ Y0)))))) & 53.29/7.39 (((!!) @ (^[Y0 : a]: 53.29/7.39 (((!!) @ (^[Y1 : a]: 53.29/7.39 (((((X2 @ Y0) & 53.29/7.39 ((('#sk1' @ Y0 @ Y1) | ('#sk2' @ 53.29/7.39 Y0 @ Y1))))) => 53.29/7.39 (X2 @ Y1))))))))))) => 53.29/7.39 (X2 @ '#sk8'))) 53.29/7.39 | ('#form11') 53.29/7.39 | ~ ('#form9'))), 53.29/7.39 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl41])). 53.29/7.39 thf(zip_derived_cl49, plain, 53.29/7.39 (( (((((((!!) @ (^[Y0 : a]: 53.29/7.39 ((((('#sk1' @ '#sk7' @ Y0) | ('#sk2' @ '#sk7' @ Y0))) => 53.29/7.39 ('#sk16' @ Y0)))))) & 53.29/7.39 (((!!) @ (^[Y0 : a]: 53.29/7.39 (((!!) @ (^[Y1 : a]: 53.29/7.39 ((((('#sk16' @ Y0) & 53.29/7.39 ((('#sk1' @ Y0 @ Y1) | ('#sk2' @ Y0 @ 53.29/7.39 Y1))))) => 53.29/7.39 ('#sk16' @ Y1))))))))))) => 53.29/7.39 ('#sk16' @ '#sk8'))) 53.29/7.39 | ('#form11') 53.29/7.39 | ~ ('#form9'))), 53.29/7.39 inference('triggered_bool_instantiation', [status(thm)], 53.29/7.39 [zip_derived_cl48])). 53.29/7.39 thf(zip_derived_cl282, plain, 53.29/7.39 ((~ (((((!!) @ (^[Y0 : a]: 53.29/7.39 ((((('#sk1' @ '#sk7' @ Y0) | ('#sk2' @ '#sk7' @ Y0))) => 53.29/7.39 ('#sk16' @ Y0)))))) & 53.29/7.39 (((!!) @ (^[Y0 : a]: 53.29/7.39 (((!!) @ (^[Y1 : a]: 53.29/7.39 ((((('#sk16' @ Y0) & 53.29/7.39 ((('#sk1' @ Y0 @ Y1) | ('#sk2' @ Y0 @ 53.29/7.39 Y1))))) => 53.29/7.39 ('#sk16' @ Y1))))))))))) 53.29/7.39 | ('#sk16' @ '#sk8') 53.29/7.39 | ~ ('#form9') 53.29/7.39 | ('#form11'))), 53.29/7.39 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl49])). 53.29/7.39 thf(zip_derived_cl22, plain, 53.29/7.39 ((~ (((!!) @ (^[Y0 : a > $o]: 53.29/7.39 (((((((!!) @ (^[Y1 : a]: 53.29/7.39 ((((('#sk2' @ '#sk6' @ Y1) | ('#sk1' @ 53.29/7.39 '#sk6' @ Y1))) => 53.29/7.39 (Y0 @ Y1)))))) & 53.29/7.39 (((!!) @ (^[Y1 : a]: 53.29/7.39 (((!!) @ (^[Y2 : a]: 53.29/7.39 (((((Y0 @ Y1) & 53.29/7.39 ((('#sk1' @ Y1 @ Y2) | 53.29/7.39 ('#sk2' @ Y1 @ Y2))))) => 53.29/7.39 (Y0 @ Y2))))))))))) => 53.29/7.39 (Y0 @ '#sk8')))))) 53.29/7.39 | ~ (((!!) @ (^[Y0 : a]: 53.29/7.39 (((!!) @ (^[Y1 : a]: 53.29/7.39 (((((((!!) @ (^[Y2 : a > $o]: 53.29/7.39 (((((((!!) @ (^[Y3 : a]: 53.29/7.39 (((!!) @ ( 53.29/7.39 ^[Y4 : a]: 53.29/7.39 (( 53.29/7.39 (( 53.29/7.39 (Y2 @ 53.29/7.39 Y3) & 53.29/7.39 ('#sk2' @ 53.29/7.39 Y3 @ Y4))) => 53.29/7.39 (Y2 @ Y4))))))))) & 53.29/7.39 (((!!) @ (^[Y3 : a]: 53.29/7.39 ((('#sk2' @ 53.29/7.39 Y0 @ 53.29/7.39 Y3) => 53.29/7.39 (Y2 @ Y3)))))))) => 53.29/7.39 (Y2 @ Y1)))))) | 53.29/7.39 (((!!) @ (^[Y2 : a > $o]: 53.29/7.39 (((((((!!) @ (^[Y3 : a]: 53.29/7.39 ((('#sk1' @ 53.29/7.39 Y0 @ 53.29/7.39 Y3) => 53.29/7.39 (Y2 @ Y3)))))) & 53.29/7.39 (((!!) @ (^[Y3 : a]: 53.29/7.39 (((!!) @ ( 53.29/7.39 ^[Y4 : a]: 53.29/7.39 (( 53.29/7.39 (( 53.29/7.39 (Y2 @ 53.29/7.39 Y3) & 53.29/7.39 ('#sk1' @ 53.29/7.39 Y3 @ Y4))) => 53.29/7.39 (Y2 @ Y4))))))))))) => 53.29/7.39 (Y2 @ Y1)))))))) => 53.29/7.39 (((!!) @ (^[Y2 : a > $o]: 53.29/7.39 (((((((!!) @ (^[Y3 : a]: 53.29/7.39 ((((('#sk1' @ 53.29/7.39 Y0 @ 53.29/7.39 Y3) | 53.29/7.39 ('#sk2' @ 53.29/7.39 Y0 @ Y3))) => 53.29/7.39 (Y2 @ Y3)))))) & 53.29/7.39 (((!!) @ (^[Y3 : a]: 53.29/7.39 (((!!) @ ( 53.29/7.39 ^[Y4 : a]: 53.29/7.39 ( 53.29/7.39 ( 53.29/7.39 (( 53.29/7.39 (Y2 @ 53.29/7.39 Y3) & 53.29/7.39 (( 53.29/7.39 ('#sk2' @ 53.29/7.39 Y3 @ 53.29/7.39 Y4) | 53.29/7.39 ('#sk1' @ 53.29/7.39 Y3 @ Y4))))) => 53.29/7.39 (Y2 @ Y4))))))))))) => 53.29/7.39 (Y2 @ Y1)))))))))))))) 53.29/7.39 | (((!!) @ (^[Y0 : a > $o]: 53.29/7.39 (((((((!!) @ (^[Y1 : a]: 53.29/7.39 (((!!) @ (^[Y2 : a]: 53.29/7.39 (((((Y0 @ Y1) & 53.29/7.39 ((('#sk1' @ Y1 @ Y2) | 53.29/7.39 ('#sk2' @ Y1 @ Y2))))) => 53.29/7.39 (Y0 @ Y2))))))))) & 53.29/7.39 (((!!) @ (^[Y1 : a]: 53.29/7.39 ((((('#sk1' @ '#sk3' @ Y1) | ('#sk2' @ 53.29/7.39 '#sk3' @ Y1))) => 53.29/7.39 (Y0 @ Y1)))))))) => 53.29/7.39 (Y0 @ '#sk4')))))))), 53.29/7.39 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl18])). 53.29/7.39 thf(zip_derived_cl28, plain, 53.29/7.39 (( ('#form9') 53.29/7.39 | ~ (((!!) @ (^[Y0 : a]: 53.29/7.39 (((!!) @ (^[Y1 : a]: 53.29/7.39 (((((((!!) @ (^[Y2 : a > $o]: 53.29/7.39 (((((((!!) @ (^[Y3 : a]: 53.29/7.39 (((!!) @ ( 53.29/7.39 ^[Y4 : a]: 53.29/7.39 (( 53.29/7.39 (( 53.29/7.39 (Y2 @ 53.29/7.39 Y3) & 53.29/7.39 ('#sk2' @ 53.29/7.39 Y3 @ Y4))) => 53.29/7.39 (Y2 @ Y4))))))))) & 53.29/7.39 (((!!) @ (^[Y3 : a]: 53.29/7.39 ((('#sk2' @ 53.29/7.39 Y0 @ 53.29/7.39 Y3) => 53.29/7.39 (Y2 @ Y3)))))))) => 53.29/7.39 (Y2 @ Y1)))))) | 53.29/7.39 (((!!) @ (^[Y2 : a > $o]: 53.29/7.39 (((((((!!) @ (^[Y3 : a]: 53.29/7.39 ((('#sk1' @ 53.29/7.39 Y0 @ 53.29/7.39 Y3) => 53.29/7.39 (Y2 @ Y3)))))) & 53.29/7.39 (((!!) @ (^[Y3 : a]: 53.29/7.39 (((!!) @ ( 53.29/7.39 ^[Y4 : a]: 53.29/7.39 (( 53.29/7.39 (( 53.29/7.39 (Y2 @ 53.29/7.39 Y3) & 53.29/7.39 ('#sk1' @ 53.29/7.39 Y3 @ Y4))) => 53.29/7.39 (Y2 @ Y4))))))))))) => 53.29/7.39 (Y2 @ Y1)))))))) => 53.29/7.39 (((!!) @ (^[Y2 : a > $o]: 53.29/7.39 (((((((!!) @ (^[Y3 : a]: 53.29/7.39 ((((('#sk1' @ 53.29/7.39 Y0 @ 53.29/7.39 Y3) | 53.29/7.39 ('#sk2' @ 53.29/7.39 Y0 @ Y3))) => 53.29/7.39 (Y2 @ Y3)))))) & 53.29/7.39 (((!!) @ (^[Y3 : a]: 53.29/7.39 (((!!) @ ( 53.29/7.39 ^[Y4 : a]: 53.29/7.39 ( 53.29/7.39 ( 53.29/7.39 (( 53.29/7.39 (Y2 @ 53.29/7.39 Y3) & 53.29/7.39 (( 53.29/7.39 ('#sk2' @ 53.29/7.39 Y3 @ 53.29/7.39 Y4) | 53.29/7.39 ('#sk1' @ 53.29/7.39 Y3 @ Y4))))) => 53.29/7.39 (Y2 @ Y4))))))))))) => 53.29/7.39 (Y2 @ Y1)))))))))))))))), 53.29/7.39 define([status(thm)])). 53.29/7.39 thf(zip_derived_cl30, plain, 53.29/7.39 ((~ ('#form9') 53.29/7.39 | (((!!) @ (^[Y0 : a > $o]: 53.29/7.39 (((((((!!) @ (^[Y1 : a]: 53.29/7.39 (((!!) @ (^[Y2 : a]: 53.29/7.39 (((((Y0 @ Y1) & 53.29/7.39 ((('#sk1' @ Y1 @ Y2) | 53.29/7.39 ('#sk2' @ Y1 @ Y2))))) => 53.29/7.39 (Y0 @ Y2))))))))) & 53.29/7.39 (((!!) @ (^[Y1 : a]: 53.29/7.39 ((((('#sk1' @ '#sk3' @ Y1) | ('#sk2' @ 53.29/7.39 '#sk3' @ Y1))) => 53.29/7.39 (Y0 @ Y1)))))))) => 53.29/7.39 (Y0 @ '#sk4')))))) 53.29/7.39 | ~ (((!!) @ (^[Y0 : a > $o]: 53.29/7.39 (((((((!!) @ (^[Y1 : a]: 53.29/7.39 ((((('#sk2' @ '#sk6' @ Y1) | ('#sk1' @ 53.29/7.39 '#sk6' @ Y1))) => 53.29/7.39 (Y0 @ Y1)))))) & 53.29/7.39 (((!!) @ (^[Y1 : a]: 53.29/7.39 (((!!) @ (^[Y2 : a]: 53.29/7.39 (((((Y0 @ Y1) & 53.29/7.39 ((('#sk1' @ Y1 @ Y2) | 53.29/7.39 ('#sk2' @ Y1 @ Y2))))) => 53.29/7.39 (Y0 @ Y2))))))))))) => 53.29/7.39 (Y0 @ '#sk8')))))))), 53.29/7.39 inference('renaming', [status(thm)], [zip_derived_cl22, zip_derived_cl28])). 53.29/7.39 thf(zip_derived_cl32, plain, 53.29/7.39 ((~ ('#form11') 53.29/7.39 | (((!!) @ (^[Y0 : a > $o]: 53.29/7.39 (((((((!!) @ (^[Y1 : a]: 53.29/7.39 (((!!) @ (^[Y2 : a]: 53.29/7.39 (((((Y0 @ Y1) & 53.29/7.39 ((('#sk1' @ Y1 @ Y2) | 53.29/7.39 ('#sk2' @ Y1 @ Y2))))) => 53.29/7.39 (Y0 @ Y2))))))))) & 53.29/7.39 (((!!) @ (^[Y1 : a]: 53.29/7.39 ((((('#sk1' @ '#sk3' @ Y1) | ('#sk2' @ 53.29/7.39 '#sk3' @ Y1))) => 53.29/7.39 (Y0 @ Y1)))))))) => 53.29/7.39 (Y0 @ '#sk4')))))))), 53.29/7.39 define([status(thm)])). 53.29/7.39 thf(zip_derived_cl37, plain, 53.29/7.39 (( ('#form11') 53.29/7.39 | ~ (((!!) @ (^[Y0 : a > $o]: 53.29/7.39 (((((((!!) @ (^[Y1 : a]: 53.29/7.39 ((((('#sk2' @ '#sk6' @ Y1) | ('#sk1' @ 53.29/7.39 '#sk6' @ Y1))) => 53.29/7.39 (Y0 @ Y1)))))) & 53.29/7.39 (((!!) @ (^[Y1 : a]: 53.29/7.39 (((!!) @ (^[Y2 : a]: 53.29/7.39 (((((Y0 @ Y1) & 53.29/7.39 ((('#sk1' @ Y1 @ Y2) | 53.29/7.39 ('#sk2' @ Y1 @ Y2))))) => 53.29/7.39 (Y0 @ Y2))))))))))) => 53.29/7.39 (Y0 @ '#sk8')))))) 53.29/7.39 | ~ ('#form9'))), 53.29/7.39 inference('renaming', [status(thm)], [zip_derived_cl30, zip_derived_cl32])). 53.29/7.39 thf(zip_derived_cl45, plain, 53.29/7.39 ((~ (((((((!!) @ (^[Y0 : a]: 53.29/7.39 ((((('#sk2' @ '#sk6' @ Y0) | ('#sk1' @ '#sk6' @ Y0))) => 53.29/7.39 ('#sk16' @ Y0)))))) & 53.29/7.39 (((!!) @ (^[Y0 : a]: 53.29/7.39 (((!!) @ (^[Y1 : a]: 53.29/7.39 ((((('#sk16' @ Y0) & 53.29/7.39 ((('#sk1' @ Y0 @ Y1) | ('#sk2' @ 53.29/7.39 Y0 @ Y1))))) => 53.29/7.39 ('#sk16' @ Y1))))))))))) => 53.29/7.39 ('#sk16' @ '#sk8'))) 53.29/7.39 | ~ ('#form9') 53.29/7.39 | ('#form11'))), 53.29/7.39 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl37])). 53.29/7.39 thf(zip_derived_cl56, plain, 53.29/7.39 ((~ ('#sk16' @ '#sk8') | ('#form11') | ~ ('#form9'))), 53.29/7.39 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl45])). 53.29/7.39 thf(zip_derived_cl283, plain, 53.29/7.39 (( ('#form11') 53.29/7.39 | ~ ('#form9') 53.29/7.39 | ~ (((((!!) @ (^[Y0 : a]: 53.29/7.39 ((((('#sk1' @ '#sk7' @ Y0) | ('#sk2' @ '#sk7' @ Y0))) => 53.29/7.39 ('#sk16' @ Y0)))))) & 53.29/7.39 (((!!) @ (^[Y0 : a]: 53.29/7.39 (((!!) @ (^[Y1 : a]: 53.29/7.39 ((((('#sk16' @ Y0) & 53.29/7.39 ((('#sk1' @ Y0 @ Y1) | ('#sk2' @ 53.29/7.39 Y0 @ Y1))))) => 53.29/7.39 ('#sk16' @ Y1))))))))))))), 53.29/7.39 inference('clc', [status(thm)], [zip_derived_cl282, zip_derived_cl56])). 53.29/7.39 thf(zip_derived_cl284, plain, 53.29/7.39 ((~ (((!!) @ (^[Y0 : a]: 53.29/7.39 ((((('#sk1' @ '#sk7' @ Y0) | ('#sk2' @ '#sk7' @ Y0))) => 53.29/7.39 ('#sk16' @ Y0)))))) 53.29/7.39 | ~ (((!!) @ (^[Y0 : a]: 53.29/7.39 (((!!) @ (^[Y1 : a]: 53.29/7.39 ((((('#sk16' @ Y0) & 53.29/7.39 ((('#sk1' @ Y0 @ Y1) | ('#sk2' @ Y0 @ 53.29/7.39 Y1))))) => 53.29/7.39 ('#sk16' @ Y1))))))))) 53.29/7.39 | ~ ('#form9') 53.29/7.39 | ('#form11'))), 53.29/7.39 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl283])). 53.29/7.39 thf(zip_derived_cl285, plain, 53.29/7.39 ((~ ((((('#sk1' @ '#sk7' @ ('#sk50' @ '#sk16')) | ('#sk2' @ '#sk7' @ 53.29/7.39 ('#sk50' @ '#sk16')))) => 53.29/7.39 ('#sk16' @ ('#sk50' @ '#sk16')))) 53.29/7.39 | ('#form11') 53.29/7.39 | ~ ('#form9') 53.29/7.39 | ~ (((!!) @ (^[Y0 : a]: 53.29/7.39 (((!!) @ (^[Y1 : a]: 53.29/7.39 ((((('#sk16' @ Y0) & 53.29/7.39 ((('#sk1' @ Y0 @ Y1) | ('#sk2' @ Y0 @ 53.29/7.39 Y1))))) => 53.29/7.39 ('#sk16' @ Y1))))))))))), 53.29/7.39 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl284])). 53.29/7.39 thf(zip_derived_cl286, plain, 53.29/7.39 (( ((('#sk1' @ '#sk7' @ ('#sk50' @ '#sk16')) | ('#sk2' @ '#sk7' @ 53.29/7.39 ('#sk50' @ '#sk16')))) 53.29/7.39 | ~ (((!!) @ (^[Y0 : a]: 53.29/7.39 (((!!) @ (^[Y1 : a]: 53.29/7.39 ((((('#sk16' @ Y0) & 53.29/7.39 ((('#sk1' @ Y0 @ Y1) | ('#sk2' @ Y0 @ 53.29/7.39 Y1))))) => 53.29/7.39 ('#sk16' @ Y1))))))))) 53.29/7.39 | ~ ('#form9') 53.29/7.39 | ('#form11'))), 53.29/7.39 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl285])). 53.29/7.39 thf(zip_derived_cl288, plain, 53.29/7.39 (( ('#form412') 53.29/7.39 | ~ (((!!) @ (^[Y0 : a]: 53.29/7.39 (((!!) @ (^[Y1 : a]: 53.29/7.39 ((((('#sk16' @ Y0) & 53.29/7.39 ((('#sk1' @ Y0 @ Y1) | ('#sk2' @ Y0 @ 53.29/7.39 Y1))))) => 53.29/7.39 ('#sk16' @ Y1))))))))))), 53.29/7.39 define([status(thm)])). 53.29/7.39 thf(zip_derived_cl289, plain, 53.29/7.39 ((~ (((!!) @ (^[Y0 : a]: 53.29/7.39 ((((('#sk16' @ ('#sk27' @ '#sk16')) & 53.29/7.39 ((('#sk1' @ ('#sk27' @ '#sk16') @ Y0) | ('#sk2' @ 53.29/7.39 ('#sk27' @ '#sk16') @ Y0))))) => 53.29/7.39 ('#sk16' @ Y0)))))) 53.29/7.39 | ('#form412'))), 53.29/7.39 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl288])). 53.29/7.39 thf(zip_derived_cl293, plain, 53.29/7.39 ((~ ((((('#sk16' @ ('#sk27' @ '#sk16')) & 53.29/7.39 ((('#sk1' @ ('#sk27' @ '#sk16') @ ('#sk39' @ '#sk16')) | 53.29/7.39 ('#sk2' @ ('#sk27' @ '#sk16') @ ('#sk39' @ '#sk16')))))) => 53.29/7.39 ('#sk16' @ ('#sk39' @ '#sk16')))) 53.29/7.39 | ('#form412'))), 53.29/7.39 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl289])). 53.29/7.39 thf(zip_derived_cl294, plain, 53.29/7.39 (( ((('#sk16' @ ('#sk27' @ '#sk16')) & 53.29/7.39 ((('#sk1' @ ('#sk27' @ '#sk16') @ ('#sk39' @ '#sk16')) | ('#sk2' @ 53.29/7.39 ('#sk27' @ '#sk16') @ ('#sk39' @ '#sk16')))))) 53.29/7.39 | ('#form412'))), 53.29/7.39 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl293])). 53.29/7.39 thf(zip_derived_cl296, plain, 53.29/7.39 (( ('#sk16' @ ('#sk27' @ '#sk16')) | ('#form412'))), 53.29/7.39 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl294])). 53.29/7.39 thf(zip_derived_cl297, plain, 53.29/7.39 (( ((('#sk1' @ ('#sk27' @ '#sk16') @ ('#sk39' @ '#sk16')) | ('#sk2' @ 53.29/7.39 ('#sk27' @ '#sk16') @ ('#sk39' @ '#sk16')))) 53.29/7.39 | ('#form412'))), 53.29/7.39 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl294])). 53.29/7.39 thf(zip_derived_cl298, plain, 53.29/7.39 (( ('#sk1' @ ('#sk27' @ '#sk16') @ ('#sk39' @ '#sk16')) 53.29/7.39 | ('#sk2' @ ('#sk27' @ '#sk16') @ ('#sk39' @ '#sk16')) 53.29/7.39 | ('#form412'))), 53.29/7.39 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl297])). 53.29/7.39 thf(zip_derived_cl279, plain, 53.29/7.39 ((~ ('#sk20' @ ('#sk172' @ '#sk20')) 53.29/7.39 | ('#form9') 53.29/7.39 | ('#form46') 53.29/7.39 | ~ ('#form264' @ '#sk20'))), 53.29/7.39 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl277])). 53.29/7.39 thf(zip_derived_cl295, plain, 53.29/7.39 ((~ ('#sk16' @ ('#sk39' @ '#sk16')) | ('#form412'))), 53.29/7.39 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl293])). 53.29/7.39 thf(zip_derived_cl281, plain, 53.29/7.39 (( ('#sk2' @ ('#sk125' @ '#sk20') @ ('#sk172' @ '#sk20')) 53.29/7.39 | ~ ('#form264' @ '#sk20') 53.29/7.39 | ('#form46') 53.29/7.39 | ('#form9'))), 53.29/7.39 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl278])). 53.29/7.39 thf(zip_derived_cl27, plain, 53.29/7.39 (( (((!!) @ (^[Y0 : a > $o]: 53.29/7.39 (((((((!!) @ (^[Y1 : a]: 53.29/7.39 (((!!) @ (^[Y2 : a]: 53.29/7.39 ((((((('#sk2' @ Y1 @ Y2) | 53.29/7.39 ('#sk1' @ Y1 @ Y2))) & 53.29/7.39 (Y0 @ Y1))) => 53.29/7.39 (Y0 @ Y2))))))))) & 53.29/7.39 (((!!) @ (^[Y1 : a]: 53.29/7.39 ((((('#sk1' @ '#sk6' @ Y1) | ('#sk2' @ 53.29/7.39 '#sk6' @ Y1))) => 53.29/7.39 (Y0 @ Y1)))))))) => 53.29/7.39 (Y0 @ '#sk7')))))) 53.29/7.39 | (((!!) @ (^[Y0 : a > $o]: 53.29/7.39 (((((((!!) @ (^[Y1 : a]: 53.29/7.39 (((!!) @ (^[Y2 : a]: 53.29/7.39 (((((Y0 @ Y1) & 53.29/7.39 ((('#sk1' @ Y1 @ Y2) | 53.29/7.39 ('#sk2' @ Y1 @ Y2))))) => 53.29/7.39 (Y0 @ Y2))))))))) & 53.29/7.39 (((!!) @ (^[Y1 : a]: 53.29/7.39 ((((('#sk1' @ '#sk3' @ Y1) | ('#sk2' @ 53.29/7.39 '#sk3' @ Y1))) => 53.29/7.39 (Y0 @ Y1)))))))) => 53.29/7.39 (Y0 @ '#sk4')))))) 53.29/7.39 | ~ (((!!) @ (^[Y0 : a]: 53.29/7.39 (((!!) @ (^[Y1 : a]: 53.29/7.39 (((((((!!) @ (^[Y2 : a > $o]: 53.29/7.39 (((((((!!) @ (^[Y3 : a]: 53.29/7.39 (((!!) @ ( 53.29/7.39 ^[Y4 : a]: 53.29/7.39 (( 53.29/7.39 (( 53.29/7.39 (Y2 @ 53.29/7.39 Y3) & 53.29/7.39 ('#sk2' @ 53.29/7.39 Y3 @ Y4))) => 53.29/7.39 (Y2 @ Y4))))))))) & 53.29/7.39 (((!!) @ (^[Y3 : a]: 53.29/7.39 ((('#sk2' @ 53.29/7.39 Y0 @ 53.29/7.39 Y3) => 53.29/7.39 (Y2 @ Y3)))))))) => 53.29/7.39 (Y2 @ Y1)))))) | 53.29/7.39 (((!!) @ (^[Y2 : a > $o]: 53.29/7.39 (((((((!!) @ (^[Y3 : a]: 53.29/7.39 ((('#sk1' @ 53.29/7.39 Y0 @ 53.29/7.39 Y3) => 53.29/7.39 (Y2 @ Y3)))))) & 53.29/7.39 (((!!) @ (^[Y3 : a]: 53.29/7.39 (((!!) @ ( 53.29/7.39 ^[Y4 : a]: 53.29/7.39 (( 53.29/7.39 (( 53.29/7.39 (Y2 @ 53.29/7.39 Y3) & 53.29/7.39 ('#sk1' @ 53.29/7.39 Y3 @ Y4))) => 53.29/7.39 (Y2 @ Y4))))))))))) => 53.29/7.39 (Y2 @ Y1)))))))) => 53.29/7.39 (((!!) @ (^[Y2 : a > $o]: 53.29/7.39 (((((((!!) @ (^[Y3 : a]: 53.29/7.39 ((((('#sk1' @ 53.29/7.39 Y0 @ 53.29/7.39 Y3) | 53.29/7.39 ('#sk2' @ 53.29/7.39 Y0 @ Y3))) => 53.29/7.39 (Y2 @ Y3)))))) & 53.29/7.39 (((!!) @ (^[Y3 : a]: 53.29/7.39 (((!!) @ ( 53.29/7.39 ^[Y4 : a]: 53.29/7.39 ( 53.29/7.39 ( 53.29/7.39 (( 53.29/7.39 (Y2 @ 53.29/7.39 Y3) & 53.29/7.39 (( 53.29/7.39 ('#sk2' @ 53.29/7.39 Y3 @ 53.29/7.39 Y4) | 53.29/7.39 ('#sk1' @ 53.29/7.39 Y3 @ Y4))))) => 53.29/7.39 (Y2 @ Y4))))))))))) => 53.29/7.39 (Y2 @ Y1)))))))))))))))), 53.29/7.39 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl21])). 53.29/7.39 thf(zip_derived_cl32, plain, 53.29/7.39 ((~ ('#form11') 53.29/7.39 | (((!!) @ (^[Y0 : a > $o]: 53.29/7.39 (((((((!!) @ (^[Y1 : a]: 53.29/7.39 (((!!) @ (^[Y2 : a]: 53.29/7.39 (((((Y0 @ Y1) & 53.29/7.39 ((('#sk1' @ Y1 @ Y2) | 53.29/7.39 ('#sk2' @ Y1 @ Y2))))) => 53.29/7.39 (Y0 @ Y2))))))))) & 53.29/7.39 (((!!) @ (^[Y1 : a]: 53.29/7.39 ((((('#sk1' @ '#sk3' @ Y1) | ('#sk2' @ 53.29/7.39 '#sk3' @ Y1))) => 53.29/7.39 (Y0 @ Y1)))))))) => 53.29/7.39 (Y0 @ '#sk4')))))))), 53.29/7.39 define([status(thm)])). 53.29/7.39 thf(zip_derived_cl36, plain, 53.29/7.39 (( ('#form11') 53.29/7.39 | ~ (((!!) @ (^[Y0 : a]: 53.29/7.39 (((!!) @ (^[Y1 : a]: 53.29/7.39 (((((((!!) @ (^[Y2 : a > $o]: 53.29/7.39 (((((((!!) @ (^[Y3 : a]: 53.29/7.39 (((!!) @ ( 53.29/7.39 ^[Y4 : a]: 53.29/7.39 (( 53.29/7.39 (( 53.29/7.39 (Y2 @ 53.29/7.39 Y3) & 53.29/7.39 ('#sk2' @ 53.29/7.39 Y3 @ Y4))) => 53.29/7.39 (Y2 @ Y4))))))))) & 53.29/7.39 (((!!) @ (^[Y3 : a]: 53.29/7.39 ((('#sk2' @ 53.29/7.39 Y0 @ 53.29/7.39 Y3) => 53.29/7.39 (Y2 @ Y3)))))))) => 53.29/7.39 (Y2 @ Y1)))))) | 53.29/7.39 (((!!) @ (^[Y2 : a > $o]: 53.29/7.39 (((((((!!) @ (^[Y3 : a]: 53.29/7.39 ((('#sk1' @ 53.29/7.39 Y0 @ 53.29/7.39 Y3) => 53.29/7.39 (Y2 @ Y3)))))) & 53.29/7.39 (((!!) @ (^[Y3 : a]: 53.29/7.39 (((!!) @ ( 53.29/7.39 ^[Y4 : a]: 53.29/7.39 (( 53.29/7.39 (( 53.29/7.39 (Y2 @ 53.29/7.39 Y3) & 53.29/7.39 ('#sk1' @ 53.29/7.39 Y3 @ Y4))) => 53.29/7.39 (Y2 @ Y4))))))))))) => 53.29/7.39 (Y2 @ Y1)))))))) => 53.29/7.39 (((!!) @ (^[Y2 : a > $o]: 53.29/7.39 (((((((!!) @ (^[Y3 : a]: 53.29/7.39 ((((('#sk1' @ 53.29/7.39 Y0 @ 53.29/7.39 Y3) | 53.29/7.39 ('#sk2' @ 53.29/7.39 Y0 @ Y3))) => 53.29/7.39 (Y2 @ Y3)))))) & 53.29/7.39 (((!!) @ (^[Y3 : a]: 53.29/7.39 (((!!) @ ( 53.29/7.39 ^[Y4 : a]: 53.29/7.39 ( 53.29/7.39 ( 53.29/7.39 (( 53.29/7.39 (Y2 @ 53.29/7.39 Y3) & 53.29/7.39 (( 53.29/7.39 ('#sk2' @ 53.29/7.39 Y3 @ 53.29/7.39 Y4) | 53.29/7.39 ('#sk1' @ 53.29/7.39 Y3 @ Y4))))) => 53.29/7.39 (Y2 @ Y4))))))))))) => 53.29/7.39 (Y2 @ Y1)))))))))))))) 53.29/7.39 | (((!!) @ (^[Y0 : a > $o]: 53.29/7.39 (((((((!!) @ (^[Y1 : a]: 53.29/7.39 (((!!) @ (^[Y2 : a]: 53.29/7.39 ((((((('#sk2' @ Y1 @ Y2) | 53.29/7.39 ('#sk1' @ Y1 @ Y2))) & 53.29/7.39 (Y0 @ Y1))) => 53.29/7.39 (Y0 @ Y2))))))))) & 53.29/7.39 (((!!) @ (^[Y1 : a]: 53.29/7.39 ((((('#sk1' @ '#sk6' @ Y1) | ('#sk2' @ 53.29/7.39 '#sk6' @ Y1))) => 53.29/7.39 (Y0 @ Y1)))))))) => 53.29/7.39 (Y0 @ '#sk7')))))))), 53.29/7.39 inference('renaming', [status(thm)], [zip_derived_cl27, zip_derived_cl32])). 53.29/7.39 thf(zip_derived_cl28, plain, 53.29/7.39 (( ('#form9') 53.29/7.39 | ~ (((!!) @ (^[Y0 : a]: 53.29/7.39 (((!!) @ (^[Y1 : a]: 53.29/7.39 (((((((!!) @ (^[Y2 : a > $o]: 53.29/7.39 (((((((!!) @ (^[Y3 : a]: 53.29/7.39 (((!!) @ ( 53.29/7.39 ^[Y4 : a]: 53.29/7.39 (( 53.29/7.39 (( 53.29/7.39 (Y2 @ 53.29/7.39 Y3) & 53.29/7.39 ('#sk2' @ 53.29/7.39 Y3 @ Y4))) => 53.29/7.39 (Y2 @ Y4))))))))) & 53.29/7.39 (((!!) @ (^[Y3 : a]: 53.29/7.39 ((('#sk2' @ 53.29/7.39 Y0 @ 53.29/7.39 Y3) => 53.29/7.39 (Y2 @ Y3)))))))) => 53.29/7.39 (Y2 @ Y1)))))) | 53.29/7.39 (((!!) @ (^[Y2 : a > $o]: 53.29/7.39 (((((((!!) @ (^[Y3 : a]: 53.29/7.39 ((('#sk1' @ 53.29/7.39 Y0 @ 53.29/7.39 Y3) => 53.29/7.39 (Y2 @ Y3)))))) & 53.29/7.39 (((!!) @ (^[Y3 : a]: 53.29/7.39 (((!!) @ ( 53.29/7.39 ^[Y4 : a]: 53.29/7.39 (( 53.29/7.39 (( 53.29/7.39 (Y2 @ 53.29/7.39 Y3) & 53.29/7.39 ('#sk1' @ 53.29/7.39 Y3 @ Y4))) => 53.29/7.39 (Y2 @ Y4))))))))))) => 53.29/7.39 (Y2 @ Y1)))))))) => 53.29/7.39 (((!!) @ (^[Y2 : a > $o]: 53.29/7.39 (((((((!!) @ (^[Y3 : a]: 53.29/7.39 ((((('#sk1' @ 53.29/7.39 Y0 @ 53.29/7.39 Y3) | 53.29/7.39 ('#sk2' @ 53.29/7.39 Y0 @ Y3))) => 53.29/7.39 (Y2 @ Y3)))))) & 53.29/7.39 (((!!) @ (^[Y3 : a]: 53.29/7.39 (((!!) @ ( 53.29/7.39 ^[Y4 : a]: 53.29/7.39 ( 53.29/7.39 ( 53.29/7.39 (( 53.29/7.39 (Y2 @ 53.29/7.39 Y3) & 53.29/7.39 (( 53.29/7.39 ('#sk2' @ 53.29/7.39 Y3 @ 53.29/7.39 Y4) | 53.29/7.39 ('#sk1' @ 53.29/7.39 Y3 @ Y4))))) => 53.29/7.39 (Y2 @ Y4))))))))))) => 53.29/7.39 (Y2 @ Y1)))))))))))))))), 53.29/7.39 define([status(thm)])). 53.29/7.39 thf(zip_derived_cl43, plain, 53.29/7.39 ((~ ('#form9') 53.29/7.39 | (((!!) @ (^[Y0 : a > $o]: 53.29/7.39 (((((((!!) @ (^[Y1 : a]: 53.29/7.39 (((!!) @ (^[Y2 : a]: 53.29/7.39 ((((((('#sk2' @ Y1 @ Y2) | 53.29/7.39 ('#sk1' @ Y1 @ Y2))) & 53.29/7.39 (Y0 @ Y1))) => 53.29/7.39 (Y0 @ Y2))))))))) & 53.29/7.39 (((!!) @ (^[Y1 : a]: 53.29/7.39 ((((('#sk1' @ '#sk6' @ Y1) | ('#sk2' @ 53.29/7.39 '#sk6' @ Y1))) => 53.29/7.39 (Y0 @ Y1)))))))) => 53.29/7.39 (Y0 @ '#sk7')))))) 53.29/7.39 | ('#form11'))), 53.29/7.39 inference('renaming', [status(thm)], [zip_derived_cl36, zip_derived_cl28])). 53.29/7.39 thf(zip_derived_cl52, plain, 53.29/7.39 (![X2 : a > $o]: 53.29/7.39 ( (((((((!!) @ (^[Y0 : a]: 53.29/7.39 (((!!) @ (^[Y1 : a]: 53.29/7.39 ((((((('#sk2' @ Y0 @ Y1) | ('#sk1' @ 53.29/7.39 Y0 @ Y1))) & 53.29/7.39 (X2 @ Y0))) => 53.29/7.39 (X2 @ Y1))))))))) & 53.29/7.39 (((!!) @ (^[Y0 : a]: 53.29/7.39 ((((('#sk1' @ '#sk6' @ Y0) | ('#sk2' @ '#sk6' @ Y0))) => 53.29/7.39 (X2 @ Y0)))))))) => 53.29/7.39 (X2 @ '#sk7'))) 53.29/7.39 | ('#form11') 53.29/7.39 | ~ ('#form9'))), 53.29/7.39 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl43])). 53.29/7.39 thf(zip_derived_cl64, plain, 53.29/7.39 (![X2 : a > $o]: 53.29/7.39 (~ (((((!!) @ (^[Y0 : a]: 53.29/7.39 (((!!) @ (^[Y1 : a]: 53.29/7.39 ((((((('#sk2' @ Y0 @ Y1) | ('#sk1' @ 53.29/7.39 Y0 @ Y1))) & 53.29/7.39 (X2 @ Y0))) => 53.29/7.39 (X2 @ Y1))))))))) & 53.29/7.39 (((!!) @ (^[Y0 : a]: 53.29/7.39 ((((('#sk1' @ '#sk6' @ Y0) | ('#sk2' @ '#sk6' @ Y0))) => 53.29/7.39 (X2 @ Y0)))))))) 53.29/7.39 | (X2 @ '#sk7') 53.29/7.39 | ~ ('#form9') 53.29/7.39 | ('#form11'))), 53.29/7.39 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl52])). 53.29/7.39 thf(zip_derived_cl75, plain, 53.29/7.39 (![X2 : a > $o]: 53.29/7.39 (~ (((!!) @ (^[Y0 : a]: 53.29/7.39 (((!!) @ (^[Y1 : a]: 53.29/7.39 ((((((('#sk2' @ Y0 @ Y1) | ('#sk1' @ Y0 @ 53.29/7.39 Y1))) & 53.29/7.39 (X2 @ Y0))) => 53.29/7.39 (X2 @ Y1))))))))) 53.29/7.39 | ~ (((!!) @ (^[Y0 : a]: 53.29/7.39 ((((('#sk1' @ '#sk6' @ Y0) | ('#sk2' @ '#sk6' @ Y0))) => 53.29/7.39 (X2 @ Y0)))))) 53.29/7.39 | ('#form11') 53.29/7.39 | ~ ('#form9') 53.29/7.39 | (X2 @ '#sk7'))), 53.29/7.39 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl64])). 53.29/7.39 thf(zip_derived_cl89, plain, 53.29/7.39 (![X2 : a > $o]: 53.29/7.39 (~ (((!!) @ (^[Y0 : a]: 53.29/7.39 ((((((('#sk2' @ ('#sk61' @ X2) @ Y0) | ('#sk1' @ 53.29/7.39 ('#sk61' @ X2) @ Y0))) & 53.29/7.39 (X2 @ ('#sk61' @ X2)))) => 53.29/7.39 (X2 @ Y0)))))) 53.29/7.39 | (X2 @ '#sk7') 53.29/7.39 | ~ ('#form9') 53.29/7.39 | ('#form11') 53.29/7.39 | ~ (((!!) @ (^[Y0 : a]: 53.29/7.39 ((((('#sk1' @ '#sk6' @ Y0) | ('#sk2' @ '#sk6' @ Y0))) => 53.29/7.39 (X2 @ Y0)))))))), 53.29/7.39 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl75])). 53.29/7.39 thf(zip_derived_cl103, plain, 53.29/7.39 (![X2 : a > $o]: 53.29/7.39 (~ ((((((('#sk2' @ ('#sk61' @ X2) @ ('#sk88' @ X2)) | ('#sk1' @ 53.29/7.39 ('#sk61' @ X2) @ ('#sk88' @ X2)))) & 53.29/7.39 (X2 @ ('#sk61' @ X2)))) => 53.29/7.39 (X2 @ ('#sk88' @ X2)))) 53.29/7.39 | ~ (((!!) @ (^[Y0 : a]: 53.29/7.39 ((((('#sk1' @ '#sk6' @ Y0) | ('#sk2' @ '#sk6' @ Y0))) => 53.29/7.39 (X2 @ Y0)))))) 53.29/7.39 | ('#form11') 53.29/7.39 | ~ ('#form9') 53.29/7.39 | (X2 @ '#sk7'))), 53.29/7.39 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl89])). 53.29/7.39 thf(zip_derived_cl117, plain, 53.29/7.39 (![X2 : a > $o]: 53.29/7.39 ( ((((('#sk2' @ ('#sk61' @ X2) @ ('#sk88' @ X2)) | ('#sk1' @ 53.29/7.39 ('#sk61' @ X2) @ ('#sk88' @ X2)))) & 53.29/7.39 (X2 @ ('#sk61' @ X2)))) 53.29/7.39 | (X2 @ '#sk7') 53.29/7.39 | ~ ('#form9') 53.29/7.39 | ('#form11') 53.29/7.39 | ~ (((!!) @ (^[Y0 : a]: 53.29/7.39 ((((('#sk1' @ '#sk6' @ Y0) | ('#sk2' @ '#sk6' @ Y0))) => 53.29/7.39 (X2 @ Y0)))))))), 53.29/7.39 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl103])). 53.29/7.39 thf(zip_derived_cl132, plain, 53.29/7.39 (![X2 : a > $o]: 53.29/7.39 ( (X2 @ ('#sk61' @ X2)) 53.29/7.39 | ~ (((!!) @ (^[Y0 : a]: 53.29/7.39 ((((('#sk1' @ '#sk6' @ Y0) | ('#sk2' @ '#sk6' @ Y0))) => 53.29/7.39 (X2 @ Y0)))))) 53.29/7.39 | ('#form11') 53.29/7.39 | ~ ('#form9') 53.29/7.39 | (X2 @ '#sk7'))), 53.29/7.39 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl117])). 53.29/7.39 thf(zip_derived_cl118, plain, 53.29/7.39 (![X2 : a > $o]: 53.29/7.39 (~ (X2 @ ('#sk88' @ X2)) 53.29/7.39 | (X2 @ '#sk7') 53.29/7.39 | ~ ('#form9') 53.29/7.39 | ('#form11') 53.29/7.39 | ~ (((!!) @ (^[Y0 : a]: 53.29/7.39 ((((('#sk1' @ '#sk6' @ Y0) | ('#sk2' @ '#sk6' @ Y0))) => 53.29/7.39 (X2 @ Y0)))))))), 53.29/7.39 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl103])). 53.29/7.39 thf(zip_derived_cl133, plain, 53.29/7.39 (![X2 : a > $o]: 53.29/7.39 ( ('#form166' @ X2) 53.29/7.39 | ~ (((!!) @ (^[Y0 : a]: 53.29/7.39 ((((('#sk1' @ '#sk6' @ Y0) | ('#sk2' @ '#sk6' @ Y0))) => 53.29/7.39 (X2 @ Y0)))))))), 53.29/7.39 define([status(thm)])). 53.29/7.39 thf(zip_derived_cl146, plain, 53.29/7.39 (![X2 : a > $o]: 53.29/7.39 (~ ('#form166' @ (^[Y0 : a]: (X2 @ Y0))) 53.29/7.39 | (X2 @ '#sk7') 53.29/7.39 | ~ ('#form9') 53.29/7.39 | ('#form11') 53.29/7.39 | (X2 @ ('#sk61' @ X2)))), 53.29/7.39 inference('renaming', [status(thm)], 53.29/7.39 [zip_derived_cl132, zip_derived_cl133])). 53.29/7.39 thf(zip_derived_cl161, plain, 53.29/7.39 (![X2 : a > $o]: 53.29/7.39 (~ ('#form166' @ X2) 53.29/7.39 | (X2 @ '#sk7') 53.29/7.39 | ~ ('#form9') 53.29/7.39 | ('#form11') 53.29/7.39 | (X2 @ ('#sk61' @ X2)))), 53.29/7.39 inference('ho_norm', [status(thm)], [zip_derived_cl146])). 53.29/7.39 thf(zip_derived_cl287, plain, 53.29/7.39 ((~ ('#sk16' @ ('#sk50' @ '#sk16')) 53.29/7.39 | ~ (((!!) @ (^[Y0 : a]: 53.29/7.39 (((!!) @ (^[Y1 : a]: 53.29/7.39 ((((('#sk16' @ Y0) & 53.29/7.39 ((('#sk1' @ Y0 @ Y1) | ('#sk2' @ Y0 @ 53.29/7.39 Y1))))) => 53.29/7.39 ('#sk16' @ Y1))))))))) 53.29/7.39 | ~ ('#form9') 53.29/7.39 | ('#form11'))), 53.29/7.39 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl285])). 53.29/7.39 thf(zip_derived_cl288, plain, 53.29/7.39 (( ('#form412') 53.29/7.39 | ~ (((!!) @ (^[Y0 : a]: 53.29/7.39 (((!!) @ (^[Y1 : a]: 53.29/7.39 ((((('#sk16' @ Y0) & 53.29/7.39 ((('#sk1' @ Y0 @ Y1) | ('#sk2' @ Y0 @ 53.29/7.39 Y1))))) => 53.29/7.39 ('#sk16' @ Y1))))))))))), 53.29/7.39 define([status(thm)])). 53.29/7.39 thf(zip_derived_cl291, plain, 53.29/7.39 ((~ ('#form412') 53.29/7.39 | ('#form11') 53.29/7.39 | ~ ('#form9') 53.29/7.39 | ~ ('#sk16' @ ('#sk50' @ '#sk16')))), 53.29/7.39 inference('renaming', [status(thm)], 53.29/7.39 [zip_derived_cl287, zip_derived_cl288])). 53.29/7.39 thf(zip_derived_cl286, plain, 53.29/7.39 (( ((('#sk1' @ '#sk7' @ ('#sk50' @ '#sk16')) | ('#sk2' @ '#sk7' @ 53.29/7.39 ('#sk50' @ '#sk16')))) 53.29/7.39 | ~ (((!!) @ (^[Y0 : a]: 53.29/7.39 (((!!) @ (^[Y1 : a]: 53.29/7.39 ((((('#sk16' @ Y0) & 53.29/7.39 ((('#sk1' @ Y0 @ Y1) | ('#sk2' @ Y0 @ 53.29/7.39 Y1))))) => 53.29/7.39 ('#sk16' @ Y1))))))))) 53.29/7.39 | ~ ('#form9') 53.29/7.39 | ('#form11'))), 53.29/7.39 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl285])). 53.29/7.39 thf(zip_derived_cl288, plain, 53.29/7.39 (( ('#form412') 53.29/7.39 | ~ (((!!) @ (^[Y0 : a]: 53.29/7.39 (((!!) @ (^[Y1 : a]: 53.29/7.39 ((((('#sk16' @ Y0) & 53.29/7.39 ((('#sk1' @ Y0 @ Y1) | ('#sk2' @ Y0 @ 53.29/7.39 Y1))))) => 53.29/7.39 ('#sk16' @ Y1))))))))))), 53.29/7.39 define([status(thm)])). 53.29/7.39 thf(zip_derived_cl290, plain, 53.29/7.39 ((~ ('#form412') 53.29/7.39 | ('#form11') 53.29/7.39 | ~ ('#form9') 53.29/7.39 | ((('#sk1' @ '#sk7' @ ('#sk50' @ '#sk16')) | ('#sk2' @ '#sk7' @ 53.29/7.39 ('#sk50' @ '#sk16')))))), 53.29/7.39 inference('renaming', [status(thm)], 53.29/7.39 [zip_derived_cl286, zip_derived_cl288])). 53.29/7.39 thf(zip_derived_cl292, plain, 53.29/7.39 (( ('#sk1' @ '#sk7' @ ('#sk50' @ '#sk16')) 53.29/7.39 | ('#sk2' @ '#sk7' @ ('#sk50' @ '#sk16')) 53.29/7.39 | ~ ('#form9') 53.29/7.39 | ('#form11') 53.29/7.39 | ~ ('#form412'))), 53.29/7.39 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl290])). 53.29/7.39 thf(zip_derived_cl153, plain, 53.29/7.39 (![X2 : a, X4 : a]: 53.29/7.39 (~ ('#sk2' @ X2 @ X4) 53.29/7.39 | ('#sk20' @ X4) 53.29/7.39 | ('#form9') 53.29/7.39 | ~ ('#sk20' @ X2))), 53.29/7.39 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl141])). 53.29/7.39 thf(zip_derived_cl118, plain, 53.29/7.39 (![X2 : a > $o]: 53.29/7.39 (~ (X2 @ ('#sk88' @ X2)) 53.29/7.39 | (X2 @ '#sk7') 53.29/7.39 | ~ ('#form9') 53.29/7.39 | ('#form11') 53.29/7.39 | ~ (((!!) @ (^[Y0 : a]: 53.29/7.39 ((((('#sk1' @ '#sk6' @ Y0) | ('#sk2' @ '#sk6' @ Y0))) => 53.29/7.39 (X2 @ Y0)))))))), 53.29/7.39 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl103])). 53.29/7.39 thf(zip_derived_cl133, plain, 53.29/7.39 (![X2 : a > $o]: 53.29/7.39 ( ('#form166' @ X2) 53.29/7.39 | ~ (((!!) @ (^[Y0 : a]: 53.29/7.39 ((((('#sk1' @ '#sk6' @ Y0) | ('#sk2' @ '#sk6' @ Y0))) => 53.29/7.39 (X2 @ Y0)))))))), 53.29/7.39 define([status(thm)])). 53.29/7.39 thf(zip_derived_cl135, plain, 53.29/7.39 (![X2 : a > $o]: 53.29/7.39 (~ ('#form166' @ X2) 53.29/7.39 | ('#form11') 53.29/7.39 | ~ ('#form9') 53.29/7.39 | (X2 @ '#sk7') 53.29/7.39 | ~ (X2 @ ('#sk88' @ X2)))), 53.29/7.39 inference('renaming', [status(thm)], 53.29/7.39 [zip_derived_cl118, zip_derived_cl133])). 53.29/7.39 thf(zip_derived_cl165, plain, 53.29/7.39 (![X2 : a > $o]: 53.29/7.39 ( ('#form264' @ X2) 53.29/7.39 | ~ (((!!) @ (^[Y0 : a]: ((('#sk2' @ '#sk10' @ Y0) => (X2 @ Y0)))))))), 53.29/7.39 define([status(thm)])). 53.29/7.39 thf(zip_derived_cl166, plain, 53.29/7.39 (![X2 : a > $o]: 53.29/7.39 (~ ((('#sk2' @ '#sk10' @ ('#sk265' @ X2)) => (X2 @ ('#sk265' @ X2)))) 53.29/7.39 | ('#form264' @ X2))), 53.29/7.39 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl165])). 53.29/7.39 thf(zip_derived_cl175, plain, 53.29/7.39 (![X2 : a > $o]: 53.29/7.39 ( ('#sk2' @ '#sk10' @ ('#sk265' @ X2)) | ('#form264' @ X2))), 53.29/7.39 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl166])). 53.29/7.39 thf(zip_derived_cl176, plain, 53.29/7.39 (![X2 : a > $o]: (~ (X2 @ ('#sk265' @ X2)) | ('#form264' @ X2))), 53.29/7.39 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl166])). 53.29/7.39 thf(zip_derived_cl55, plain, 53.29/7.39 (( (((((!!) @ (^[Y0 : a]: 53.29/7.39 ((((('#sk2' @ '#sk6' @ Y0) | ('#sk1' @ '#sk6' @ Y0))) => 53.29/7.39 ('#sk16' @ Y0)))))) & 53.29/7.39 (((!!) @ (^[Y0 : a]: 53.29/7.39 (((!!) @ (^[Y1 : a]: 53.29/7.39 ((((('#sk16' @ Y0) & 53.29/7.39 ((('#sk1' @ Y0 @ Y1) | ('#sk2' @ Y0 @ 53.29/7.39 Y1))))) => 53.29/7.39 ('#sk16' @ Y1))))))))))) 53.29/7.39 | ('#form11') 53.29/7.39 | ~ ('#form9'))), 53.29/7.39 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl45])). 53.29/7.39 thf(zip_derived_cl66, plain, 53.29/7.39 (( (((!!) @ (^[Y0 : a]: 53.29/7.39 (((!!) @ (^[Y1 : a]: 53.29/7.39 ((((('#sk16' @ Y0) & 53.29/7.39 ((('#sk1' @ Y0 @ Y1) | ('#sk2' @ Y0 @ Y1))))) => 53.29/7.39 ('#sk16' @ Y1))))))))) 53.29/7.39 | ~ ('#form9') 53.29/7.39 | ('#form11'))), 53.29/7.39 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl55])). 53.29/7.39 thf(zip_derived_cl77, plain, 53.29/7.39 (![X2 : a]: 53.29/7.39 ( (((!!) @ (^[Y0 : a]: 53.29/7.39 ((((('#sk16' @ X2) & 53.29/7.39 ((('#sk1' @ X2 @ Y0) | ('#sk2' @ X2 @ Y0))))) => 53.29/7.39 ('#sk16' @ Y0)))))) 53.29/7.39 | ('#form11') 53.29/7.39 | ~ ('#form9'))), 53.29/7.39 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl66])). 53.29/7.39 thf(zip_derived_cl91, plain, 53.29/7.39 (![X2 : a, X4 : a]: 53.29/7.39 ( ((((('#sk16' @ X2) & ((('#sk1' @ X2 @ X4) | ('#sk2' @ X2 @ X4))))) => 53.29/7.39 ('#sk16' @ X4))) 53.29/7.39 | ~ ('#form9') 53.29/7.39 | ('#form11'))), 53.29/7.39 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl77])). 53.29/7.39 thf(zip_derived_cl106, plain, 53.29/7.39 (![X2 : a, X4 : a]: 53.29/7.39 (~ ((('#sk16' @ X2) & ((('#sk1' @ X2 @ X4) | ('#sk2' @ X2 @ X4))))) 53.29/7.39 | ('#sk16' @ X4) 53.29/7.39 | ('#form11') 53.29/7.39 | ~ ('#form9'))), 53.29/7.39 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl91])). 53.29/7.39 thf(zip_derived_cl119, plain, 53.29/7.39 (![X2 : a, X4 : a]: 53.29/7.39 (~ ('#sk16' @ X2) 53.29/7.39 | ~ ((('#sk1' @ X2 @ X4) | ('#sk2' @ X2 @ X4))) 53.29/7.39 | ~ ('#form9') 53.29/7.39 | ('#form11') 53.29/7.39 | ('#sk16' @ X4))), 53.29/7.39 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl106])). 53.29/7.39 thf(zip_derived_cl136, plain, 53.29/7.39 (![X2 : a, X4 : a]: 53.29/7.39 (~ ('#sk1' @ X2 @ X4) 53.29/7.39 | ('#sk16' @ X4) 53.29/7.39 | ('#form11') 53.29/7.39 | ~ ('#form9') 53.29/7.39 | ~ ('#sk16' @ X2))), 53.29/7.39 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl119])). 53.29/7.39 thf(zip_derived_cl123, plain, 53.29/7.39 (![X2 : a]: (~ ('#sk2' @ '#sk10' @ X2) | ('#form9') | ('#sk20' @ X2))), 53.29/7.39 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl109])). 53.29/7.39 thf(zip_derived_cl133, plain, 53.29/7.39 (![X2 : a > $o]: 53.29/7.39 ( ('#form166' @ X2) 53.29/7.39 | ~ (((!!) @ (^[Y0 : a]: 53.29/7.39 ((((('#sk1' @ '#sk6' @ Y0) | ('#sk2' @ '#sk6' @ Y0))) => 53.29/7.39 (X2 @ Y0)))))))), 53.29/7.39 define([status(thm)])). 53.29/7.39 thf(zip_derived_cl134, plain, 53.29/7.39 (![X2 : a > $o]: 53.29/7.39 (~ ((((('#sk1' @ '#sk6' @ ('#sk167' @ X2)) | ('#sk2' @ '#sk6' @ 53.29/7.39 ('#sk167' @ X2)))) => 53.29/7.39 (X2 @ ('#sk167' @ X2)))) 53.29/7.39 | ('#form166' @ X2))), 53.29/7.39 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl133])). 53.29/7.39 thf(zip_derived_cl147, plain, 53.29/7.39 (![X2 : a > $o]: 53.29/7.39 ( ((('#sk1' @ '#sk6' @ ('#sk167' @ X2)) | ('#sk2' @ '#sk6' @ 53.29/7.39 ('#sk167' @ X2)))) 53.29/7.39 | ('#form166' @ X2))), 53.29/7.39 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl134])). 53.29/7.39 thf(zip_derived_cl162, plain, 53.29/7.39 (![X2 : a > $o]: 53.29/7.39 ( ('#sk1' @ '#sk6' @ ('#sk167' @ X2)) 53.29/7.39 | ('#sk2' @ '#sk6' @ ('#sk167' @ X2)) 53.29/7.39 | ('#form166' @ X2))), 53.29/7.39 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl147])). 53.29/7.39 thf(zip_derived_cl65, plain, 53.29/7.39 (( (((!!) @ (^[Y0 : a]: 53.29/7.39 ((((('#sk2' @ '#sk6' @ Y0) | ('#sk1' @ '#sk6' @ Y0))) => 53.29/7.39 ('#sk16' @ Y0)))))) 53.29/7.39 | ~ ('#form9') 53.29/7.39 | ('#form11'))), 53.29/7.39 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl55])). 53.29/7.39 thf(zip_derived_cl76, plain, 53.29/7.39 (![X2 : a]: 53.29/7.39 ( ((((('#sk2' @ '#sk6' @ X2) | ('#sk1' @ '#sk6' @ X2))) => ('#sk16' @ 53.29/7.39 X2))) 53.29/7.39 | ('#form11') 53.29/7.39 | ~ ('#form9'))), 53.29/7.39 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl65])). 53.29/7.39 thf(zip_derived_cl90, plain, 53.29/7.39 (![X2 : a]: 53.29/7.39 (~ ((('#sk2' @ '#sk6' @ X2) | ('#sk1' @ '#sk6' @ X2))) 53.29/7.39 | ('#sk16' @ X2) 53.29/7.39 | ~ ('#form9') 53.29/7.39 | ('#form11'))), 53.29/7.39 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl76])). 53.29/7.39 thf(zip_derived_cl105, plain, 53.29/7.39 (![X2 : a]: 53.29/7.39 (~ ('#sk1' @ '#sk6' @ X2) 53.29/7.39 | ('#form11') 53.29/7.39 | ~ ('#form9') 53.29/7.39 | ('#sk16' @ X2))), 53.29/7.39 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl90])). 53.29/7.39 thf(zip_derived_cl148, plain, 53.29/7.39 (![X2 : a > $o]: (~ (X2 @ ('#sk167' @ X2)) | ('#form166' @ X2))), 53.29/7.39 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl134])). 53.29/7.39 thf(zip_derived_cl131, plain, 53.29/7.39 (![X2 : a > $o]: 53.29/7.39 ( ((('#sk2' @ ('#sk61' @ X2) @ ('#sk88' @ X2)) | ('#sk1' @ 53.29/7.39 ('#sk61' @ X2) @ ('#sk88' @ X2)))) 53.29/7.39 | ~ (((!!) @ (^[Y0 : a]: 53.29/7.39 ((((('#sk1' @ '#sk6' @ Y0) | ('#sk2' @ '#sk6' @ Y0))) => 53.29/7.39 (X2 @ Y0)))))) 53.29/7.39 | ('#form11') 53.29/7.39 | ~ ('#form9') 53.29/7.39 | (X2 @ '#sk7'))), 53.29/7.39 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl117])). 53.29/7.39 thf(zip_derived_cl133, plain, 53.29/7.39 (![X2 : a > $o]: 53.29/7.39 ( ('#form166' @ X2) 53.29/7.39 | ~ (((!!) @ (^[Y0 : a]: 53.29/7.39 ((((('#sk1' @ '#sk6' @ Y0) | ('#sk2' @ '#sk6' @ Y0))) => 53.29/7.39 (X2 @ Y0)))))))), 53.29/7.39 define([status(thm)])). 53.29/7.39 thf(zip_derived_cl145, plain, 53.29/7.39 (![X2 : a > $o]: 53.29/7.39 (~ ('#form166' @ (^[Y0 : a]: (X2 @ Y0))) 53.29/7.39 | (X2 @ '#sk7') 53.29/7.39 | ~ ('#form9') 53.29/7.39 | ('#form11') 53.29/7.39 | ((('#sk2' @ ('#sk61' @ X2) @ ('#sk88' @ X2)) | ('#sk1' @ 53.29/7.39 ('#sk61' @ X2) @ ('#sk88' @ X2)))))), 53.29/7.39 inference('renaming', [status(thm)], 53.29/7.39 [zip_derived_cl131, zip_derived_cl133])). 53.29/7.39 thf(zip_derived_cl159, plain, 53.29/7.39 (![X2 : a > $o]: 53.29/7.39 (~ ('#form166' @ X2) 53.29/7.39 | (X2 @ '#sk7') 53.29/7.39 | ~ ('#form9') 53.29/7.39 | ('#form11') 53.29/7.39 | ((('#sk2' @ ('#sk61' @ X2) @ ('#sk88' @ X2)) | ('#sk1' @ 53.29/7.39 ('#sk61' @ X2) @ ('#sk88' @ X2)))))), 53.29/7.39 inference('ho_norm', [status(thm)], [zip_derived_cl145])). 53.29/7.39 thf(zip_derived_cl160, plain, 53.29/7.39 (![X2 : a > $o]: 53.29/7.39 ( ('#sk2' @ ('#sk61' @ X2) @ ('#sk88' @ X2)) 53.29/7.39 | ('#sk1' @ ('#sk61' @ X2) @ ('#sk88' @ X2)) 53.29/7.39 | ('#form11') 53.29/7.39 | ~ ('#form9') 53.29/7.39 | (X2 @ '#sk7') 53.29/7.39 | ~ ('#form166' @ X2))), 53.29/7.39 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl159])). 53.29/7.39 thf(zip_derived_cl137, plain, 53.29/7.39 (![X2 : a, X4 : a]: 53.29/7.39 (~ ('#sk2' @ X2 @ X4) 53.29/7.39 | ('#sk16' @ X4) 53.29/7.39 | ('#form11') 53.29/7.39 | ~ ('#form9') 53.29/7.39 | ~ ('#sk16' @ X2))), 53.29/7.39 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl119])). 53.29/7.39 thf(zip_derived_cl104, plain, 53.29/7.39 (![X2 : a]: 53.29/7.39 (~ ('#sk2' @ '#sk6' @ X2) 53.29/7.39 | ('#form11') 53.29/7.39 | ~ ('#form9') 53.29/7.39 | ('#sk16' @ X2))), 53.29/7.39 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl90])). 53.29/7.39 thf(zip_derived_cl32, plain, 53.29/7.39 ((~ ('#form11') 53.29/7.39 | (((!!) @ (^[Y0 : a > $o]: 53.29/7.39 (((((((!!) @ (^[Y1 : a]: 53.29/7.39 (((!!) @ (^[Y2 : a]: 53.29/7.39 (((((Y0 @ Y1) & 53.29/7.39 ((('#sk1' @ Y1 @ Y2) | 53.29/7.39 ('#sk2' @ Y1 @ Y2))))) => 53.29/7.39 (Y0 @ Y2))))))))) & 53.29/7.39 (((!!) @ (^[Y1 : a]: 53.29/7.39 ((((('#sk1' @ '#sk3' @ Y1) | ('#sk2' @ 53.29/7.39 '#sk3' @ Y1))) => 53.29/7.39 (Y0 @ Y1)))))))) => 53.29/7.39 (Y0 @ '#sk4')))))))), 53.29/7.39 define([status(thm)])). 53.29/7.39 thf(zip_derived_cl33, plain, 53.29/7.39 (![X2 : a > $o]: 53.29/7.39 ( (((((((!!) @ (^[Y0 : a]: 53.29/7.39 (((!!) @ (^[Y1 : a]: 53.29/7.39 (((((X2 @ Y0) & 53.29/7.39 ((('#sk1' @ Y0 @ Y1) | ('#sk2' @ 53.29/7.39 Y0 @ Y1))))) => 53.29/7.39 (X2 @ Y1))))))))) & 53.29/7.39 (((!!) @ (^[Y0 : a]: 53.29/7.39 ((((('#sk1' @ '#sk3' @ Y0) | ('#sk2' @ '#sk3' @ Y0))) => 53.29/7.39 (X2 @ Y0)))))))) => 53.29/7.39 (X2 @ '#sk4'))) 53.29/7.39 | ~ ('#form11'))), 53.29/7.39 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl32])). 53.29/7.39 thf(zip_derived_cl42, plain, 53.29/7.39 (![X2 : a > $o]: 53.29/7.39 (~ (((((!!) @ (^[Y0 : a]: 53.29/7.39 (((!!) @ (^[Y1 : a]: 53.29/7.39 (((((X2 @ Y0) & 53.29/7.39 ((('#sk1' @ Y0 @ Y1) | ('#sk2' @ 53.29/7.39 Y0 @ Y1))))) => 53.29/7.39 (X2 @ Y1))))))))) & 53.29/7.39 (((!!) @ (^[Y0 : a]: 53.29/7.39 ((((('#sk1' @ '#sk3' @ Y0) | ('#sk2' @ '#sk3' @ Y0))) => 53.29/7.39 (X2 @ Y0)))))))) 53.29/7.39 | (X2 @ '#sk4') 53.29/7.39 | ~ ('#form11'))), 53.29/7.39 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl33])). 53.29/7.39 thf(zip_derived_cl51, plain, 53.29/7.39 (![X2 : a > $o]: 53.29/7.39 (~ (((!!) @ (^[Y0 : a]: 53.29/7.39 (((!!) @ (^[Y1 : a]: 53.29/7.39 (((((X2 @ Y0) & 53.29/7.39 ((('#sk1' @ Y0 @ Y1) | ('#sk2' @ Y0 @ 53.29/7.39 Y1))))) => 53.29/7.39 (X2 @ Y1))))))))) 53.29/7.39 | ~ (((!!) @ (^[Y0 : a]: 53.29/7.39 ((((('#sk1' @ '#sk3' @ Y0) | ('#sk2' @ '#sk3' @ Y0))) => 53.29/7.39 (X2 @ Y0)))))) 53.29/7.39 | ~ ('#form11') 53.29/7.39 | (X2 @ '#sk4'))), 53.29/7.39 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl42])). 53.29/7.39 thf(zip_derived_cl63, plain, 53.29/7.39 (![X2 : a > $o]: 53.29/7.39 (~ (((!!) @ (^[Y0 : a]: 53.29/7.39 (((((X2 @ ('#sk27' @ X2)) & 53.29/7.39 ((('#sk1' @ ('#sk27' @ X2) @ Y0) | ('#sk2' @ 53.29/7.39 ('#sk27' @ X2) @ Y0))))) => 53.29/7.39 (X2 @ Y0)))))) 53.29/7.39 | (X2 @ '#sk4') 53.29/7.39 | ~ ('#form11') 53.29/7.39 | ~ (((!!) @ (^[Y0 : a]: 53.29/7.39 ((((('#sk1' @ '#sk3' @ Y0) | ('#sk2' @ '#sk3' @ Y0))) => 53.29/7.39 (X2 @ Y0)))))))), 53.29/7.39 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl51])). 53.29/7.39 thf(zip_derived_cl74, plain, 53.29/7.39 (![X2 : a > $o]: 53.29/7.39 (~ (((((X2 @ ('#sk27' @ X2)) & 53.29/7.39 ((('#sk1' @ ('#sk27' @ X2) @ ('#sk39' @ X2)) | ('#sk2' @ 53.29/7.39 ('#sk27' @ X2) @ ('#sk39' @ X2)))))) => 53.29/7.39 (X2 @ ('#sk39' @ X2)))) 53.29/7.39 | ~ (((!!) @ (^[Y0 : a]: 53.29/7.39 ((((('#sk1' @ '#sk3' @ Y0) | ('#sk2' @ '#sk3' @ Y0))) => 53.29/7.39 (X2 @ Y0)))))) 53.29/7.39 | ~ ('#form11') 53.29/7.39 | (X2 @ '#sk4'))), 53.29/7.39 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl63])). 53.29/7.39 thf(zip_derived_cl88, plain, 53.29/7.39 (![X2 : a > $o]: 53.29/7.39 (~ (X2 @ ('#sk39' @ X2)) 53.29/7.39 | (X2 @ '#sk4') 53.29/7.39 | ~ ('#form11') 53.29/7.39 | ~ (((!!) @ (^[Y0 : a]: 53.29/7.39 ((((('#sk1' @ '#sk3' @ Y0) | ('#sk2' @ '#sk3' @ Y0))) => 53.29/7.39 (X2 @ Y0)))))))), 53.29/7.39 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl74])). 53.29/7.39 thf(zip_derived_cl100, plain, 53.29/7.39 (![X2 : a > $o]: 53.29/7.39 ( ('#form81' @ X2) 53.29/7.39 | ~ (((!!) @ (^[Y0 : a]: 53.29/7.39 ((((('#sk1' @ '#sk3' @ Y0) | ('#sk2' @ '#sk3' @ Y0))) => 53.29/7.39 (X2 @ Y0)))))))), 53.29/7.39 define([status(thm)])). 53.29/7.39 thf(zip_derived_cl101, plain, 53.29/7.39 (![X2 : a > $o]: 53.29/7.39 (~ ((((('#sk1' @ '#sk3' @ ('#sk82' @ X2)) | ('#sk2' @ '#sk3' @ 53.29/7.39 ('#sk82' @ X2)))) => 53.29/7.39 (X2 @ ('#sk82' @ X2)))) 53.29/7.39 | ('#form81' @ X2))), 53.29/7.39 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl100])). 53.29/7.39 thf(zip_derived_cl115, plain, 53.29/7.39 (![X2 : a > $o]: 53.29/7.39 ( ((('#sk1' @ '#sk3' @ ('#sk82' @ X2)) | ('#sk2' @ '#sk3' @ 53.29/7.39 ('#sk82' @ X2)))) 53.29/7.39 | ('#form81' @ X2))), 53.29/7.39 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl101])). 53.29/7.39 thf(zip_derived_cl130, plain, 53.29/7.39 (![X2 : a > $o]: 53.29/7.39 ( ('#sk1' @ '#sk3' @ ('#sk82' @ X2)) 53.29/7.39 | ('#sk2' @ '#sk3' @ ('#sk82' @ X2)) 53.29/7.39 | ('#form81' @ X2))), 53.29/7.39 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl115])). 53.29/7.39 thf(zip_derived_cl116, plain, 53.29/7.39 (![X2 : a > $o]: (~ (X2 @ ('#sk82' @ X2)) | ('#form81' @ X2))), 53.29/7.39 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl101])). 53.29/7.39 thf(zip_derived_cl33, plain, 53.29/7.39 (![X2 : a > $o]: 53.29/7.39 ( (((((((!!) @ (^[Y0 : a]: 53.29/7.39 (((!!) @ (^[Y1 : a]: 53.29/7.39 (((((X2 @ Y0) & 53.29/7.39 ((('#sk1' @ Y0 @ Y1) | ('#sk2' @ 53.29/7.39 Y0 @ Y1))))) => 53.29/7.39 (X2 @ Y1))))))))) & 53.29/7.39 (((!!) @ (^[Y0 : a]: 53.29/7.39 ((((('#sk1' @ '#sk3' @ Y0) | ('#sk2' @ '#sk3' @ Y0))) => 53.29/7.39 (X2 @ Y0)))))))) => 53.29/7.39 (X2 @ '#sk4'))) 53.29/7.39 | ~ ('#form11'))), 53.29/7.39 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl32])). 53.29/7.39 thf(zip_derived_cl34, plain, 53.29/7.39 (( (((((((!!) @ (^[Y0 : a]: 53.29/7.39 (((!!) @ (^[Y1 : a]: 53.29/7.39 ((((('#sk5' @ Y0) & 53.29/7.39 ((('#sk1' @ Y0 @ Y1) | ('#sk2' @ Y0 @ 53.29/7.39 Y1))))) => 53.29/7.39 ('#sk5' @ Y1))))))))) & 53.29/7.39 (((!!) @ (^[Y0 : a]: 53.29/7.39 ((((('#sk1' @ '#sk3' @ Y0) | ('#sk2' @ '#sk3' @ Y0))) => 53.29/7.39 ('#sk5' @ Y0)))))))) => 53.29/7.39 ('#sk5' @ '#sk4'))) 53.29/7.39 | ~ ('#form11'))), 53.29/7.39 inference('triggered_bool_instantiation', [status(thm)], 53.29/7.39 [zip_derived_cl33])). 53.29/7.39 thf(zip_derived_cl6, plain, 53.29/7.39 (~ (((!!) @ (^[Y0 : a > $o]: 53.29/7.39 (((((((!!) @ (^[Y1 : a]: 53.29/7.39 (((!!) @ (^[Y2 : a]: 53.29/7.39 ((((((('#sk2' @ Y1 @ Y2) | 53.29/7.39 ('#sk1' @ Y1 @ Y2))) & 53.29/7.39 (Y0 @ Y1))) => 53.29/7.39 (Y0 @ Y2))))))))) & 53.29/7.39 (((!!) @ (^[Y1 : a]: 53.29/7.39 ((((('#sk2' @ '#sk3' @ Y1) | ('#sk1' @ 53.29/7.39 '#sk3' @ Y1))) => 53.29/7.39 (Y0 @ Y1)))))))) => 53.29/7.39 (Y0 @ '#sk4'))))))), 53.29/7.39 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl4])). 53.29/7.39 thf(zip_derived_cl8, plain, 53.29/7.39 (~ (((((((!!) @ (^[Y0 : a]: 53.29/7.39 (((!!) @ (^[Y1 : a]: 53.29/7.39 ((((((('#sk2' @ Y0 @ Y1) | ('#sk1' @ Y0 @ 53.29/7.39 Y1))) & 53.29/7.39 ('#sk5' @ Y0))) => 53.29/7.39 ('#sk5' @ Y1))))))))) & 53.29/7.39 (((!!) @ (^[Y0 : a]: 53.29/7.39 ((((('#sk2' @ '#sk3' @ Y0) | ('#sk1' @ '#sk3' @ Y0))) => 53.29/7.39 ('#sk5' @ Y0)))))))) => 53.29/7.39 ('#sk5' @ '#sk4')))), 53.29/7.39 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl6])). 53.29/7.39 thf(zip_derived_cl11, plain, (~ ('#sk5' @ '#sk4')), 53.29/7.39 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl8])). 53.29/7.39 thf(zip_derived_cl205, plain, 53.29/7.39 (( (((((((!!) @ (^[Y0 : a]: 53.29/7.39 (((!!) @ (^[Y1 : a]: 53.29/7.39 ((((('#sk5' @ Y0) & 53.29/7.39 ((('#sk1' @ Y0 @ Y1) | ('#sk2' @ Y0 @ 53.29/7.39 Y1))))) => 53.29/7.39 ('#sk5' @ Y1))))))))) & 53.29/7.39 (((!!) @ (^[Y0 : a]: 53.29/7.39 ((((('#sk1' @ '#sk3' @ Y0) | ('#sk2' @ '#sk3' @ Y0))) => 53.29/7.39 ('#sk5' @ Y0)))))))) => 53.29/7.39 ($false))) 53.29/7.39 | ~ ('#form11'))), 53.29/7.39 inference('demod', [status(thm)], [zip_derived_cl34, zip_derived_cl11])). 53.29/7.39 thf(zip_derived_cl206, plain, 53.29/7.39 (( (((~) @ (((((!!) @ (^[Y0 : a]: 53.29/7.39 (((!!) @ (^[Y1 : a]: 53.29/7.39 ((((('#sk5' @ Y0) & 53.29/7.39 ((('#sk1' @ Y0 @ Y1) | 53.29/7.39 ('#sk2' @ Y0 @ Y1))))) => 53.29/7.39 ('#sk5' @ Y1))))))))) & 53.29/7.39 (((!!) @ (^[Y0 : a]: 53.29/7.39 ((((('#sk1' @ '#sk3' @ Y0) | ('#sk2' @ '#sk3' @ 53.29/7.39 Y0))) => 53.29/7.39 ('#sk5' @ Y0)))))))))) 53.29/7.39 | ~ ('#form11'))), 53.29/7.39 inference('simplify boolean subterms', [status(thm)], [zip_derived_cl205])). 53.29/7.39 thf(zip_derived_cl207, plain, 53.29/7.39 ((~ (((((!!) @ (^[Y0 : a]: 53.29/7.39 (((!!) @ (^[Y1 : a]: 53.29/7.39 ((((('#sk5' @ Y0) & 53.29/7.39 ((('#sk1' @ Y0 @ Y1) | ('#sk2' @ Y0 @ 53.29/7.39 Y1))))) => 53.29/7.39 ('#sk5' @ Y1))))))))) & 53.29/7.39 (((!!) @ (^[Y0 : a]: 53.29/7.39 ((((('#sk1' @ '#sk3' @ Y0) | ('#sk2' @ '#sk3' @ Y0))) => 53.29/7.39 ('#sk5' @ Y0)))))))) 53.29/7.39 | ~ ('#form11'))), 53.29/7.39 inference('simplify nested equalities', [status(thm)], 53.29/7.39 [zip_derived_cl206])). 53.29/7.39 thf(zip_derived_cl208, plain, 53.29/7.39 ((~ (((!!) @ (^[Y0 : a]: 53.29/7.39 (((!!) @ (^[Y1 : a]: 53.29/7.39 ((((('#sk5' @ Y0) & 53.29/7.39 ((('#sk1' @ Y0 @ Y1) | ('#sk2' @ Y0 @ Y1))))) => 53.29/7.39 ('#sk5' @ Y1))))))))) 53.29/7.39 | ~ (((!!) @ (^[Y0 : a]: 53.29/7.39 ((((('#sk1' @ '#sk3' @ Y0) | ('#sk2' @ '#sk3' @ Y0))) => 53.29/7.39 ('#sk5' @ Y0)))))) 53.29/7.39 | ~ ('#form11'))), 53.29/7.39 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl207])). 53.29/7.39 thf(zip_derived_cl100, plain, 53.29/7.39 (![X2 : a > $o]: 53.29/7.39 ( ('#form81' @ X2) 53.29/7.39 | ~ (((!!) @ (^[Y0 : a]: 53.29/7.39 ((((('#sk1' @ '#sk3' @ Y0) | ('#sk2' @ '#sk3' @ Y0))) => 53.29/7.39 (X2 @ Y0)))))))), 53.29/7.39 define([status(thm)])). 53.29/7.39 thf(zip_derived_cl209, plain, 53.29/7.39 ((~ ('#form81' @ '#sk5') 53.29/7.39 | ~ ('#form11') 53.29/7.39 | ~ (((!!) @ (^[Y0 : a]: 53.29/7.39 (((!!) @ (^[Y1 : a]: 53.29/7.39 ((((('#sk5' @ Y0) & 53.29/7.39 ((('#sk1' @ Y0 @ Y1) | ('#sk2' @ Y0 @ 53.29/7.39 Y1))))) => 53.29/7.39 ('#sk5' @ Y1))))))))))), 53.29/7.39 inference('renaming', [status(thm)], 53.29/7.39 [zip_derived_cl208, zip_derived_cl100])). 53.29/7.39 thf(zip_derived_cl210, plain, 53.29/7.39 ((~ (((!!) @ (^[Y0 : a]: 53.29/7.39 ((((('#sk5' @ ('#sk27' @ '#sk5')) & 53.29/7.39 ((('#sk1' @ ('#sk27' @ '#sk5') @ Y0) | ('#sk2' @ 53.29/7.39 ('#sk27' @ '#sk5') @ Y0))))) => 53.29/7.39 ('#sk5' @ Y0)))))) 53.29/7.39 | ~ ('#form11') 53.29/7.39 | ~ ('#form81' @ '#sk5'))), 53.29/7.39 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl209])). 53.29/7.39 thf(zip_derived_cl211, plain, 53.29/7.39 ((~ ((((('#sk5' @ ('#sk27' @ '#sk5')) & 53.29/7.39 ((('#sk1' @ ('#sk27' @ '#sk5') @ ('#sk39' @ '#sk5')) | ('#sk2' @ 53.29/7.39 ('#sk27' @ '#sk5') @ ('#sk39' @ '#sk5')))))) => 53.29/7.39 ('#sk5' @ ('#sk39' @ '#sk5')))) 53.29/7.39 | ~ ('#form81' @ '#sk5') 53.29/7.39 | ~ ('#form11'))), 53.29/7.39 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl210])). 53.29/7.39 thf(zip_derived_cl213, plain, 53.29/7.39 ((~ ('#sk5' @ ('#sk39' @ '#sk5')) 53.29/7.39 | ~ ('#form11') 53.29/7.39 | ~ ('#form81' @ '#sk5'))), 53.29/7.39 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl211])). 53.29/7.39 thf(zip_derived_cl212, plain, 53.29/7.39 (( ((('#sk5' @ ('#sk27' @ '#sk5')) & 53.29/7.39 ((('#sk1' @ ('#sk27' @ '#sk5') @ ('#sk39' @ '#sk5')) | ('#sk2' @ 53.29/7.39 ('#sk27' @ '#sk5') @ ('#sk39' @ '#sk5')))))) 53.29/7.39 | ~ ('#form11') 53.29/7.39 | ~ ('#form81' @ '#sk5'))), 53.29/7.39 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl211])). 53.29/7.39 thf(zip_derived_cl214, plain, 53.29/7.39 (( ('#sk5' @ ('#sk27' @ '#sk5')) | ~ ('#form81' @ '#sk5') | ~ ('#form11'))), 53.29/7.39 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl212])). 53.29/7.39 thf(zip_derived_cl215, plain, 53.29/7.39 (( ((('#sk1' @ ('#sk27' @ '#sk5') @ ('#sk39' @ '#sk5')) | ('#sk2' @ 53.29/7.39 ('#sk27' @ '#sk5') @ ('#sk39' @ '#sk5')))) 53.29/7.39 | ~ ('#form81' @ '#sk5') 53.29/7.39 | ~ ('#form11'))), 53.29/7.39 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl212])). 53.29/7.39 thf(zip_derived_cl216, plain, 53.29/7.39 (( ('#sk1' @ ('#sk27' @ '#sk5') @ ('#sk39' @ '#sk5')) 53.29/7.39 | ('#sk2' @ ('#sk27' @ '#sk5') @ ('#sk39' @ '#sk5')) 53.29/7.39 | ~ ('#form11') 53.29/7.39 | ~ ('#form81' @ '#sk5'))), 53.29/7.39 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl215])). 53.29/7.39 thf(zip_derived_cl10, plain, 53.29/7.39 ( (((((!!) @ (^[Y0 : a]: 53.29/7.39 (((!!) @ (^[Y1 : a]: 53.29/7.39 ((((((('#sk2' @ Y0 @ Y1) | ('#sk1' @ Y0 @ Y1))) & 53.29/7.39 ('#sk5' @ Y0))) => 53.29/7.39 ('#sk5' @ Y1))))))))) & 53.29/7.39 (((!!) @ (^[Y0 : a]: 53.29/7.39 ((((('#sk2' @ '#sk3' @ Y0) | ('#sk1' @ '#sk3' @ Y0))) => 53.29/7.39 ('#sk5' @ Y0))))))))), 53.29/7.39 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl8])). 53.29/7.39 thf(zip_derived_cl13, plain, 53.29/7.39 ( (((!!) @ (^[Y0 : a]: 53.29/7.39 (((!!) @ (^[Y1 : a]: 53.29/7.39 ((((((('#sk2' @ Y0 @ Y1) | ('#sk1' @ Y0 @ Y1))) & 53.29/7.39 ('#sk5' @ Y0))) => 53.29/7.39 ('#sk5' @ Y1)))))))))), 53.29/7.39 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl10])). 53.29/7.39 thf(zip_derived_cl16, plain, 53.29/7.39 (![X2 : a]: 53.29/7.39 (((!!) @ (^[Y0 : a]: 53.29/7.39 ((((((('#sk2' @ X2 @ Y0) | ('#sk1' @ X2 @ Y0))) & 53.29/7.39 ('#sk5' @ X2))) => 53.29/7.39 ('#sk5' @ Y0))))))), 53.29/7.39 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl13])). 53.29/7.39 thf(zip_derived_cl19, plain, 53.29/7.39 (![X2 : a, X4 : a]: 53.29/7.39 ((((((('#sk2' @ X2 @ X4) | ('#sk1' @ X2 @ X4))) & ('#sk5' @ X2))) => 53.29/7.39 ('#sk5' @ X4)))), 53.29/7.39 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl16])). 53.29/7.39 thf(zip_derived_cl23, plain, 53.29/7.39 (![X2 : a, X4 : a]: 53.29/7.39 (~ ((((('#sk2' @ X2 @ X4) | ('#sk1' @ X2 @ X4))) & ('#sk5' @ X2))) 53.29/7.39 | ('#sk5' @ X4))), 53.29/7.39 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl19])). 53.29/7.39 thf(zip_derived_cl31, plain, 53.29/7.39 (![X2 : a, X4 : a]: 53.29/7.39 (~ ((('#sk2' @ X2 @ X4) | ('#sk1' @ X2 @ X4))) 53.29/7.39 | ~ ('#sk5' @ X2) 53.29/7.39 | ('#sk5' @ X4))), 53.29/7.39 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl23])). 53.29/7.39 thf(zip_derived_cl40, plain, 53.29/7.39 (![X2 : a, X4 : a]: 53.29/7.39 (~ ('#sk1' @ X2 @ X4) | ('#sk5' @ X4) | ~ ('#sk5' @ X2))), 53.29/7.39 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl31])). 53.29/7.39 thf(zip_derived_cl14, plain, 53.29/7.39 ( (((!!) @ (^[Y0 : a]: 53.29/7.39 ((((('#sk2' @ '#sk3' @ Y0) | ('#sk1' @ '#sk3' @ Y0))) => 53.29/7.39 ('#sk5' @ Y0))))))), 53.29/7.39 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl10])). 53.29/7.39 thf(zip_derived_cl17, plain, 53.29/7.39 (![X2 : a]: 53.29/7.39 ((((('#sk2' @ '#sk3' @ X2) | ('#sk1' @ '#sk3' @ X2))) => ('#sk5' @ 53.29/7.39 X2)))), 53.29/7.39 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl14])). 53.29/7.39 thf(zip_derived_cl20, plain, 53.29/7.39 (![X2 : a]: 53.29/7.39 (~ ((('#sk2' @ '#sk3' @ X2) | ('#sk1' @ '#sk3' @ X2))) 53.29/7.39 | ('#sk5' @ X2))), 53.29/7.39 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl17])). 53.29/7.39 thf(zip_derived_cl25, plain, 53.29/7.39 (![X2 : a]: (~ ('#sk1' @ '#sk3' @ X2) | ('#sk5' @ X2))), 53.29/7.39 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl20])). 53.29/7.39 thf(zip_derived_cl24, plain, 53.29/7.39 (![X2 : a]: (~ ('#sk2' @ '#sk3' @ X2) | ('#sk5' @ X2))), 53.29/7.39 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl20])). 53.29/7.39 thf(zip_derived_cl39, plain, 53.29/7.39 (![X2 : a, X4 : a]: 53.29/7.39 (~ ('#sk2' @ X2 @ X4) | ('#sk5' @ X4) | ~ ('#sk5' @ X2))), 53.29/7.39 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl31])). 53.29/7.39 thf(zip_derived_cl11981, plain, ($false), 53.29/7.39 inference('eprover', [status(thm)], 53.29/7.39 [zip_derived_cl72, zip_derived_cl186, zip_derived_cl180, 53.29/7.39 zip_derived_cl122, zip_derived_cl187, zip_derived_cl184, 53.29/7.39 zip_derived_cl154, zip_derived_cl178, zip_derived_cl185, 53.29/7.39 zip_derived_cl280, zip_derived_cl296, zip_derived_cl298, 53.29/7.39 zip_derived_cl279, zip_derived_cl295, zip_derived_cl281, 53.29/7.39 zip_derived_cl161, zip_derived_cl291, zip_derived_cl292, 53.29/7.39 zip_derived_cl153, zip_derived_cl135, zip_derived_cl175, 53.29/7.39 zip_derived_cl176, zip_derived_cl136, zip_derived_cl123, 53.29/7.39 zip_derived_cl162, zip_derived_cl105, zip_derived_cl148, 53.29/7.39 zip_derived_cl160, zip_derived_cl137, zip_derived_cl104, 53.29/7.39 zip_derived_cl130, zip_derived_cl116, zip_derived_cl213, 53.29/7.39 zip_derived_cl214, zip_derived_cl216, zip_derived_cl40, 53.29/7.39 zip_derived_cl25, zip_derived_cl24, zip_derived_cl39])). 53.29/7.39 53.29/7.39 % SZS output end Refutation 53.29/7.39 53.29/7.39 53.29/7.39 % Terminating... 53.76/7.49 % Runner terminated. 53.76/7.49 % Zipperpin 1.5 exiting 53.76/7.49 EOF