0.07/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.07/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.roVUGdrqDX true 0.12/0.34 % Computer : n005.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 : 960 0.12/0.34 % WCLimit : 120 0.12/0.34 % DateTime : Tue Aug 9 02:05:04 EDT 2022 0.12/0.34 % CPUTime : 0.12/0.34 % Running portfolio for 960 s 0.12/0.34 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p 0.12/0.34 % Number of cores: 8 0.12/0.34 % Python version: Python 3.6.8 0.12/0.35 % Running in HO mode 0.48/0.61 % Total configuration time : 828 0.48/0.61 % Estimated wc time : 1656 0.48/0.61 % Estimated cpu time (8 cpus) : 207.0 0.55/0.68 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s 0.55/0.70 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s 0.55/0.74 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s 0.55/0.74 % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s 0.55/0.74 % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s 0.55/0.74 % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s 0.55/0.74 % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s 0.57/0.74 % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s 51.64/7.18 % Solved by lams/20_acsne_simpl.sh. 51.64/7.18 % running E: timeout 13 /export/starexec/sandbox2/solver/bin/lams/eprover-ho --pos-ext=all --neg-ext=all /export/starexec/sandbox2/tmp/tmp.roVUGdrqDX/e_inputb21e4a --cpu-limit=11 --auto -s -p 51.64/7.18 % done 645 iterations in 6.284s 51.64/7.18 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p' 51.64/7.18 % SZS output start Refutation 51.64/7.18 thf(a_type, type, a: $tType). 51.64/7.18 thf('#sk3_type', type, '#sk3': a). 51.64/7.18 thf('#form845_type', type, '#form845': (a > a > $o) > $o). 51.64/7.18 thf('#sk322_type', type, '#sk322': (a > a > $o) > a). 51.64/7.18 thf('#sk2_type', type, '#sk2': a > a > $o). 51.64/7.18 thf('#sk103_type', type, '#sk103': (a > a > $o) > a). 51.64/7.18 thf('#form11_type', type, '#form11': $o). 51.64/7.18 thf('#sk77_type', type, '#sk77': (a > a > $o) > a). 51.64/7.18 thf('#form94_type', type, '#form94': $o). 51.64/7.18 thf('#sk220_type', type, '#sk220': (a > a > $o) > a). 51.64/7.18 thf('#sk47_type', type, '#sk47': (a > a > $o) > a). 51.64/7.18 thf('#sk181_type', type, '#sk181': (a > a > $o) > a). 51.64/7.18 thf('#form337_type', type, '#form337': (a > a > $o) > $o). 51.64/7.18 thf('#sk5_type', type, '#sk5': a > a > $o). 51.64/7.18 thf('#sk1_type', type, '#sk1': a > a > $o). 51.64/7.18 thf('#sk268_type', type, '#sk268': (a > a > $o) > a). 51.64/7.18 thf('#sk7_type', type, '#sk7': a). 51.64/7.18 thf('#form9_type', type, '#form9': $o). 51.64/7.18 thf('#sk362_type', type, '#sk362': (a > a > $o) > a). 51.64/7.18 thf('#sk6_type', type, '#sk6': a). 51.64/7.18 thf('#sk30_type', type, '#sk30': a > a > $o). 51.64/7.18 thf('#sk277_type', type, '#sk277': (a > a > $o) > a). 51.64/7.18 thf('#sk247_type', type, '#sk247': (a > a > $o) > a). 51.64/7.18 thf('#sk156_type', type, '#sk156': (a > a > $o) > a). 51.64/7.18 thf('#sk350_type', type, '#sk350': (a > a > $o) > a). 51.64/7.18 thf('#sk8_type', type, '#sk8': a). 51.64/7.18 thf('#sk10_type', type, '#sk10': a). 51.64/7.18 thf('#sk338_type', type, '#sk338': (a > a > $o) > a). 51.64/7.18 thf('#sk4_type', type, '#sk4': a). 51.64/7.18 thf('#sk21_type', type, '#sk21': a > a > $o). 51.64/7.18 thf('#sk12_type', type, '#sk12': a). 51.64/7.18 thf('#sk436_type', type, '#sk436': (a > a > $o) > a). 51.64/7.18 thf(cTHM250D_pme, conjecture, 51.64/7.18 (![R:( a > a > $o ),S:( a > a > $o ),Xx:a,Xy:a]: 51.64/7.18 ( ( ( ( ![Xx0:a,Xy0:a,Xz:a]: 51.64/7.18 ( ( ( ![Xp1:( a > a > $o )]: 51.64/7.18 ( ( ( ![Xx1:a,Xy1:a,Xz0:a]: 51.64/7.18 ( ( ( Xp1 @ Xx1 @ Xy1 ) & ( Xp1 @ Xy1 @ Xz0 ) ) => 51.64/7.18 ( Xp1 @ Xx1 @ Xz0 ) ) ) & 51.64/7.18 ( ![Xx1:a,Xy1:a]: 51.64/7.18 ( ( ( S @ Xx1 @ Xy1 ) | ( R @ Xx1 @ Xy1 ) ) => 51.64/7.18 ( Xp1 @ Xx1 @ Xy1 ) ) ) ) => 51.64/7.18 ( Xp1 @ Xx0 @ Xy0 ) ) ) & 51.64/7.18 ( ![Xp1:( a > a > $o )]: 51.64/7.18 ( ( ( ![Xx1:a,Xy1:a,Xz0:a]: 51.64/7.18 ( ( ( Xp1 @ Xx1 @ Xy1 ) & ( Xp1 @ Xy1 @ Xz0 ) ) => 51.64/7.18 ( Xp1 @ Xx1 @ Xz0 ) ) ) & 51.64/7.18 ( ![Xx1:a,Xy1:a]: 51.64/7.18 ( ( ( S @ Xx1 @ Xy1 ) | ( R @ Xx1 @ Xy1 ) ) => 51.64/7.18 ( Xp1 @ Xx1 @ Xy1 ) ) ) ) => 51.64/7.18 ( Xp1 @ Xy0 @ Xz ) ) ) ) => 51.64/7.18 ( ![Xp1:( a > a > $o )]: 51.64/7.18 ( ( ( ![Xx1:a,Xy1:a,Xz0:a]: 51.64/7.18 ( ( ( Xp1 @ Xy1 @ Xz0 ) & ( Xp1 @ Xx1 @ Xy1 ) ) => 51.64/7.18 ( Xp1 @ Xx1 @ Xz0 ) ) ) & 51.64/7.18 ( ![Xx1:a,Xy1:a]: 51.64/7.18 ( ( ( R @ Xx1 @ Xy1 ) | ( S @ Xx1 @ Xy1 ) ) => 51.64/7.18 ( Xp1 @ Xx1 @ Xy1 ) ) ) ) => 51.64/7.18 ( Xp1 @ Xx0 @ Xz ) ) ) ) ) & 51.64/7.18 ( ![Xx0:a,Xy0:a]: 51.64/7.18 ( ( ( ![Xp1:( a > a > $o )]: 51.64/7.18 ( ( ( ![Xx1:a,Xy1:a]: 51.64/7.18 ( ( R @ Xx1 @ Xy1 ) => ( Xp1 @ Xx1 @ Xy1 ) ) ) & 51.64/7.18 ( ![Xx1:a,Xy1:a,Xz:a]: 51.64/7.18 ( ( ( Xp1 @ Xx1 @ Xy1 ) & ( Xp1 @ Xy1 @ Xz ) ) => 51.64/7.18 ( Xp1 @ Xx1 @ Xz ) ) ) ) => 51.64/7.18 ( Xp1 @ Xx0 @ Xy0 ) ) ) | 51.64/7.18 ( ![Xp1:( a > a > $o )]: 51.64/7.18 ( ( ( ![Xx1:a,Xy1:a]: 51.64/7.18 ( ( S @ Xx1 @ Xy1 ) => ( Xp1 @ Xx1 @ Xy1 ) ) ) & 51.64/7.18 ( ![Xx1:a,Xy1:a,Xz:a]: 51.64/7.18 ( ( ( Xp1 @ Xy1 @ Xz ) & ( Xp1 @ Xx1 @ Xy1 ) ) => 51.64/7.18 ( Xp1 @ Xx1 @ Xz ) ) ) ) => 51.64/7.18 ( Xp1 @ Xx0 @ Xy0 ) ) ) ) => 51.64/7.18 ( ![Xp1:( a > a > $o )]: 51.64/7.18 ( ( ( ![Xx1:a,Xy1:a]: 51.64/7.18 ( ( ( R @ Xx1 @ Xy1 ) | ( S @ Xx1 @ Xy1 ) ) => 51.64/7.18 ( Xp1 @ Xx1 @ Xy1 ) ) ) & 51.64/7.18 ( ![Xx1:a,Xy1:a,Xz:a]: 51.64/7.18 ( ( ( Xp1 @ Xx1 @ Xy1 ) & ( Xp1 @ Xy1 @ Xz ) ) => 51.64/7.18 ( Xp1 @ Xx1 @ Xz ) ) ) ) => 51.64/7.18 ( Xp1 @ Xx0 @ Xy0 ) ) ) ) ) ) => 51.64/7.18 ( ![Xp1:( a > a > $o )]: 51.64/7.18 ( ( ( ![Xx0:a,Xy0:a]: 51.64/7.18 ( ( ( R @ Xx0 @ Xy0 ) | ( S @ Xx0 @ Xy0 ) ) => 51.64/7.18 ( Xp1 @ Xx0 @ Xy0 ) ) ) & 51.64/7.18 ( ![Xx0:a,Xy0:a,Xz:a]: 51.64/7.18 ( ( ( Xp1 @ Xy0 @ Xz ) & ( Xp1 @ Xx0 @ Xy0 ) ) => 51.64/7.18 ( Xp1 @ Xx0 @ Xz ) ) ) ) => 51.64/7.18 ( Xp1 @ Xx @ Xy ) ) ) ) => 51.64/7.18 ( ![Xp1:( a > a > $o )]: 51.64/7.18 ( ( ( ![Xx0:a,Xy0:a,Xz:a]: 51.64/7.18 ( ( ( Xp1 @ Xy0 @ Xz ) & ( Xp1 @ Xx0 @ Xy0 ) ) => 51.64/7.18 ( Xp1 @ Xx0 @ Xz ) ) ) & 51.64/7.18 ( ![Xx0:a,Xy0:a]: 51.64/7.18 ( ( ( R @ Xx0 @ Xy0 ) | ( S @ Xx0 @ Xy0 ) ) => 51.64/7.18 ( Xp1 @ Xx0 @ Xy0 ) ) ) ) => 51.64/7.18 ( Xp1 @ Xx @ Xy ) ) ) ))). 51.64/7.18 thf(zf_stmt_0, negated_conjecture, 51.64/7.18 (~( ![R:( a > a > $o ),S:( a > a > $o ),Xx:a,Xy:a]: 51.64/7.18 ( ( ( ( ![Xx0:a,Xy0:a,Xz:a]: 51.64/7.18 ( ( ( ![Xp1:( a > a > $o )]: 51.64/7.18 ( ( ( ![Xx1:a,Xy1:a,Xz0:a]: 51.64/7.18 ( ( ( Xp1 @ Xx1 @ Xy1 ) & ( Xp1 @ Xy1 @ Xz0 ) ) => 51.64/7.18 ( Xp1 @ Xx1 @ Xz0 ) ) ) & 51.64/7.18 ( ![Xx1:a,Xy1:a]: 51.64/7.18 ( ( ( S @ Xx1 @ Xy1 ) | ( R @ Xx1 @ Xy1 ) ) => 51.64/7.18 ( Xp1 @ Xx1 @ Xy1 ) ) ) ) => 51.64/7.18 ( Xp1 @ Xx0 @ Xy0 ) ) ) & 51.64/7.18 ( ![Xp1:( a > a > $o )]: 51.64/7.18 ( ( ( ![Xx1:a,Xy1:a,Xz0:a]: 51.64/7.18 ( ( ( Xp1 @ Xx1 @ Xy1 ) & ( Xp1 @ Xy1 @ Xz0 ) ) => 51.64/7.18 ( Xp1 @ Xx1 @ Xz0 ) ) ) & 51.64/7.18 ( ![Xx1:a,Xy1:a]: 51.64/7.18 ( ( ( S @ Xx1 @ Xy1 ) | ( R @ Xx1 @ Xy1 ) ) => 51.64/7.18 ( Xp1 @ Xx1 @ Xy1 ) ) ) ) => 51.64/7.18 ( Xp1 @ Xy0 @ Xz ) ) ) ) => 51.64/7.18 ( ![Xp1:( a > a > $o )]: 51.64/7.18 ( ( ( ![Xx1:a,Xy1:a,Xz0:a]: 51.64/7.18 ( ( ( Xp1 @ Xy1 @ Xz0 ) & ( Xp1 @ Xx1 @ Xy1 ) ) => 51.64/7.18 ( Xp1 @ Xx1 @ Xz0 ) ) ) & 51.64/7.18 ( ![Xx1:a,Xy1:a]: 51.64/7.18 ( ( ( R @ Xx1 @ Xy1 ) | ( S @ Xx1 @ Xy1 ) ) => 51.64/7.18 ( Xp1 @ Xx1 @ Xy1 ) ) ) ) => 51.64/7.18 ( Xp1 @ Xx0 @ Xz ) ) ) ) ) & 51.64/7.18 ( ![Xx0:a,Xy0:a]: 51.64/7.18 ( ( ( ![Xp1:( a > a > $o )]: 51.64/7.18 ( ( ( ![Xx1:a,Xy1:a]: 51.64/7.18 ( ( R @ Xx1 @ Xy1 ) => ( Xp1 @ Xx1 @ Xy1 ) ) ) & 51.64/7.18 ( ![Xx1:a,Xy1:a,Xz:a]: 51.64/7.18 ( ( ( Xp1 @ Xx1 @ Xy1 ) & ( Xp1 @ Xy1 @ Xz ) ) => 51.64/7.18 ( Xp1 @ Xx1 @ Xz ) ) ) ) => 51.64/7.18 ( Xp1 @ Xx0 @ Xy0 ) ) ) | 51.64/7.18 ( ![Xp1:( a > a > $o )]: 51.64/7.18 ( ( ( ![Xx1:a,Xy1:a]: 51.64/7.18 ( ( S @ Xx1 @ Xy1 ) => ( Xp1 @ Xx1 @ Xy1 ) ) ) & 51.64/7.18 ( ![Xx1:a,Xy1:a,Xz:a]: 51.64/7.18 ( ( ( Xp1 @ Xy1 @ Xz ) & ( Xp1 @ Xx1 @ Xy1 ) ) => 51.64/7.18 ( Xp1 @ Xx1 @ Xz ) ) ) ) => 51.64/7.18 ( Xp1 @ Xx0 @ Xy0 ) ) ) ) => 51.64/7.18 ( ![Xp1:( a > a > $o )]: 51.64/7.18 ( ( ( ![Xx1:a,Xy1:a]: 51.64/7.18 ( ( ( R @ Xx1 @ Xy1 ) | ( S @ Xx1 @ Xy1 ) ) => 51.64/7.18 ( Xp1 @ Xx1 @ Xy1 ) ) ) & 51.64/7.18 ( ![Xx1:a,Xy1:a,Xz:a]: 51.64/7.18 ( ( ( Xp1 @ Xx1 @ Xy1 ) & ( Xp1 @ Xy1 @ Xz ) ) => 51.64/7.18 ( Xp1 @ Xx1 @ Xz ) ) ) ) => 51.64/7.18 ( Xp1 @ Xx0 @ Xy0 ) ) ) ) ) ) => 51.64/7.18 ( ![Xp1:( a > a > $o )]: 51.64/7.18 ( ( ( ![Xx0:a,Xy0:a]: 51.64/7.18 ( ( ( R @ Xx0 @ Xy0 ) | ( S @ Xx0 @ Xy0 ) ) => 51.64/7.18 ( Xp1 @ Xx0 @ Xy0 ) ) ) & 51.64/7.18 ( ![Xx0:a,Xy0:a,Xz:a]: 51.64/7.18 ( ( ( Xp1 @ Xy0 @ Xz ) & ( Xp1 @ Xx0 @ Xy0 ) ) => 51.64/7.18 ( Xp1 @ Xx0 @ Xz ) ) ) ) => 51.64/7.18 ( Xp1 @ Xx @ Xy ) ) ) ) => 51.64/7.18 ( ![Xp1:( a > a > $o )]: 51.64/7.18 ( ( ( ![Xx0:a,Xy0:a,Xz:a]: 51.64/7.18 ( ( ( Xp1 @ Xy0 @ Xz ) & ( Xp1 @ Xx0 @ Xy0 ) ) => 51.64/7.18 ( Xp1 @ Xx0 @ Xz ) ) ) & 51.64/7.18 ( ![Xx0:a,Xy0:a]: 51.64/7.18 ( ( ( R @ Xx0 @ Xy0 ) | ( S @ Xx0 @ Xy0 ) ) => 51.64/7.18 ( Xp1 @ Xx0 @ Xy0 ) ) ) ) => 51.64/7.18 ( Xp1 @ Xx @ Xy ) ) ) ) )), 51.64/7.18 inference('cnf.neg', [status(esa)], [cTHM250D_pme])). 51.64/7.18 thf(zip_derived_cl0, plain, 51.64/7.18 (~ (((!!) @ (^[Y0 : a > a > $o]: 51.64/7.18 (((!!) @ (^[Y1 : a > a > $o]: 51.64/7.18 (((!!) @ (^[Y2 : a]: 51.64/7.18 (((!!) @ (^[Y3 : a]: 51.64/7.18 (((((((((!!) @ ( 51.64/7.18 ^[Y4 : a]: 51.64/7.18 (((!!) @ ( 51.64/7.18 ^[Y5 : a]: 51.64/7.18 (( 51.64/7.18 (!!) @ ( 51.64/7.18 ^[Y6 : a]: 51.64/7.18 (( 51.64/7.18 (( 51.64/7.18 (( 51.64/7.18 (!!) @ ( 51.64/7.18 ^[Y7 : 51.64/7.18 a > a > $o]: 51.64/7.18 (( 51.64/7.18 (( 51.64/7.18 (( 51.64/7.18 (!!) @ ( 51.64/7.18 ^[Y8 : a]: 51.64/7.18 (( 51.64/7.18 (!!) @ ( 51.64/7.18 ^[Y9 : a]: 51.64/7.18 (( 51.64/7.18 (!!) @ ( 51.64/7.18 ^[Y10 : a]: 51.64/7.18 (( 51.64/7.18 (( 51.64/7.18 (Y7 @ 51.64/7.18 Y8 @ 51.64/7.18 Y9) & 51.64/7.18 (Y7 @ 51.64/7.18 Y9 @ Y10))) => 51.64/7.18 (Y7 @ 51.64/7.18 Y8 @ Y10)))))))))))) & 51.64/7.18 (( 51.64/7.18 (!!) @ ( 51.64/7.18 ^[Y8 : a]: 51.64/7.18 (( 51.64/7.18 (!!) @ ( 51.64/7.18 ^[Y9 : a]: 51.64/7.18 (( 51.64/7.18 (( 51.64/7.18 (Y1 @ 51.64/7.18 Y8 @ 51.64/7.18 Y9) | 51.64/7.18 (Y0 @ 51.64/7.18 Y8 @ Y9))) => 51.64/7.18 (Y7 @ 51.64/7.18 Y8 @ Y9))))))))))) => 51.64/7.18 (Y7 @ 51.64/7.18 Y4 @ Y5)))))) & 51.64/7.18 (( 51.64/7.18 (!!) @ ( 51.64/7.18 ^[Y7 : 51.64/7.18 a > a > $o]: 51.64/7.18 (( 51.64/7.18 (( 51.64/7.18 (( 51.64/7.18 (!!) @ ( 51.64/7.18 ^[Y8 : a]: 51.64/7.18 (( 51.64/7.18 (!!) @ ( 51.64/7.18 ^[Y9 : a]: 51.64/7.18 (( 51.64/7.18 (!!) @ ( 51.64/7.18 ^[Y10 : a]: 51.64/7.18 (( 51.64/7.18 (( 51.64/7.18 (Y7 @ 51.64/7.18 Y8 @ 51.64/7.18 Y9) & 51.64/7.18 (Y7 @ 51.64/7.18 Y9 @ Y10))) => 51.64/7.18 (Y7 @ 51.64/7.18 Y8 @ Y10)))))))))))) & 51.64/7.18 (( 51.64/7.18 (!!) @ ( 51.64/7.18 ^[Y8 : a]: 51.64/7.18 (( 51.64/7.18 (!!) @ ( 51.64/7.18 ^[Y9 : a]: 51.64/7.18 (( 51.64/7.18 (( 51.64/7.18 (Y1 @ 51.64/7.18 Y8 @ 51.64/7.18 Y9) | 51.64/7.18 (Y0 @ 51.64/7.18 Y8 @ Y9))) => 51.64/7.18 (Y7 @ 51.64/7.18 Y8 @ Y9))))))))))) => 51.64/7.18 (Y7 @ 51.64/7.18 Y5 @ Y6)))))))) => 51.64/7.18 (( 51.64/7.18 (!!) @ ( 51.64/7.18 ^[Y7 : 51.64/7.18 a > a > $o]: 51.64/7.18 (( 51.64/7.18 (( 51.64/7.18 (( 51.64/7.18 (!!) @ ( 51.64/7.18 ^[Y8 : a]: 51.64/7.18 (( 51.64/7.18 (!!) @ ( 51.64/7.18 ^[Y9 : a]: 51.64/7.18 (( 51.64/7.18 (!!) @ ( 51.64/7.18 ^[Y10 : a]: 51.64/7.18 (( 51.64/7.18 (( 51.64/7.18 (Y7 @ 51.64/7.18 Y9 @ 51.64/7.18 Y10) & 51.64/7.18 (Y7 @ 51.64/7.18 Y8 @ Y9))) => 51.64/7.18 (Y7 @ 51.64/7.18 Y8 @ Y10)))))))))))) & 51.64/7.18 (( 51.64/7.18 (!!) @ ( 51.64/7.18 ^[Y8 : a]: 51.64/7.18 (( 51.64/7.18 (!!) @ ( 51.64/7.18 ^[Y9 : a]: 51.64/7.18 (( 51.64/7.18 (( 51.64/7.18 (Y0 @ 51.64/7.18 Y8 @ 51.64/7.18 Y9) | 51.64/7.18 (Y1 @ 51.64/7.18 Y8 @ Y9))) => 51.64/7.18 (Y7 @ 51.64/7.18 Y8 @ Y9))))))))))) => 51.64/7.18 (Y7 @ 51.64/7.18 Y4 @ Y6))))))))))))))))) & 51.64/7.18 (((!!) @ ( 51.64/7.18 ^[Y4 : a]: 51.64/7.18 (((!!) @ ( 51.64/7.18 ^[Y5 : a]: 51.64/7.18 (( 51.64/7.18 (( 51.64/7.18 (( 51.64/7.18 (!!) @ ( 51.64/7.18 ^[Y6 : 51.64/7.18 a > a > $o]: 51.64/7.18 (( 51.64/7.18 (( 51.64/7.18 (( 51.64/7.18 (!!) @ ( 51.64/7.18 ^[Y7 : a]: 51.64/7.18 (( 51.64/7.18 (!!) @ ( 51.64/7.18 ^[Y8 : a]: 51.64/7.18 (( 51.64/7.18 (Y0 @ 51.64/7.18 Y7 @ 51.64/7.18 Y8) => 51.64/7.18 (Y6 @ 51.64/7.18 Y7 @ Y8))))))))) & 51.64/7.18 (( 51.64/7.18 (!!) @ ( 51.64/7.18 ^[Y7 : a]: 51.64/7.18 (( 51.64/7.18 (!!) @ ( 51.64/7.18 ^[Y8 : a]: 51.64/7.18 (( 51.64/7.18 (!!) @ ( 51.64/7.18 ^[Y9 : a]: 51.64/7.18 (( 51.64/7.18 (( 51.64/7.18 (Y6 @ 51.64/7.18 Y7 @ 51.64/7.18 Y8) & 51.64/7.18 (Y6 @ 51.64/7.18 Y8 @ Y9))) => 51.64/7.18 (Y6 @ 51.64/7.18 Y7 @ Y9)))))))))))))) => 51.64/7.18 (Y6 @ 51.64/7.18 Y4 @ Y5)))))) | 51.64/7.18 (( 51.64/7.18 (!!) @ ( 51.64/7.18 ^[Y6 : 51.64/7.18 a > a > $o]: 51.64/7.18 (( 51.64/7.18 (( 51.64/7.18 (( 51.64/7.18 (!!) @ ( 51.64/7.18 ^[Y7 : a]: 51.64/7.18 (( 51.64/7.18 (!!) @ ( 51.64/7.18 ^[Y8 : a]: 51.64/7.18 (( 51.64/7.18 (Y1 @ 51.64/7.18 Y7 @ 51.64/7.18 Y8) => 51.64/7.18 (Y6 @ 51.64/7.18 Y7 @ Y8))))))))) & 51.64/7.18 (( 51.64/7.18 (!!) @ ( 51.64/7.18 ^[Y7 : a]: 51.64/7.18 (( 51.64/7.18 (!!) @ ( 51.64/7.18 ^[Y8 : a]: 51.64/7.18 (( 51.64/7.18 (!!) @ ( 51.64/7.18 ^[Y9 : a]: 51.64/7.18 (( 51.64/7.18 (( 51.64/7.18 (Y6 @ 51.64/7.18 Y8 @ 51.64/7.18 Y9) & 51.64/7.18 (Y6 @ 51.64/7.18 Y7 @ Y8))) => 51.64/7.18 (Y6 @ 51.64/7.18 Y7 @ Y9)))))))))))))) => 51.64/7.18 (Y6 @ 51.64/7.18 Y4 @ Y5)))))))) => 51.64/7.18 (( 51.64/7.18 (!!) @ ( 51.64/7.18 ^[Y6 : 51.64/7.18 a > a > $o]: 51.64/7.18 (( 51.64/7.18 (( 51.64/7.18 (( 51.64/7.18 (!!) @ ( 51.64/7.18 ^[Y7 : a]: 51.64/7.18 (( 51.64/7.18 (!!) @ ( 51.64/7.18 ^[Y8 : a]: 51.64/7.18 (( 51.64/7.18 (( 51.64/7.18 (Y0 @ 51.64/7.18 Y7 @ 51.64/7.18 Y8) | 51.64/7.18 (Y1 @ 51.64/7.18 Y7 @ Y8))) => 51.64/7.18 (Y6 @ 51.64/7.18 Y7 @ Y8))))))))) & 51.64/7.18 (( 51.64/7.18 (!!) @ ( 51.64/7.18 ^[Y7 : a]: 51.64/7.18 (( 51.64/7.18 (!!) @ ( 51.64/7.18 ^[Y8 : a]: 51.64/7.18 (( 51.64/7.18 (!!) @ ( 51.64/7.18 ^[Y9 : a]: 51.64/7.18 (( 51.64/7.18 (( 51.64/7.18 (Y6 @ 51.64/7.18 Y7 @ 51.64/7.18 Y8) & 51.64/7.18 (Y6 @ 51.64/7.18 Y8 @ Y9))) => 51.64/7.18 (Y6 @ 51.64/7.18 Y7 @ Y9)))))))))))))) => 51.64/7.18 (Y6 @ 51.64/7.18 Y4 @ Y5)))))))))))))))) => 51.64/7.18 (((!!) @ ( 51.64/7.18 ^[Y4 : a > a > $o]: 51.64/7.18 (((((( 51.64/7.18 (!!) @ ( 51.64/7.18 ^[Y5 : a]: 51.64/7.18 (( 51.64/7.18 (!!) @ ( 51.64/7.18 ^[Y6 : a]: 51.64/7.18 (( 51.64/7.18 (( 51.64/7.18 (Y0 @ 51.64/7.18 Y5 @ 51.64/7.18 Y6) | 51.64/7.18 (Y1 @ 51.64/7.18 Y5 @ Y6))) => 51.64/7.18 (Y4 @ 51.64/7.18 Y5 @ Y6))))))))) & 51.64/7.18 (( 51.64/7.18 (!!) @ ( 51.64/7.18 ^[Y5 : a]: 51.64/7.18 (( 51.64/7.18 (!!) @ ( 51.64/7.18 ^[Y6 : a]: 51.64/7.18 (( 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Y3))))))))))))))))))))), 51.64/7.18 inference('cnf', [status(esa)], [zf_stmt_0])). 51.64/7.18 thf(zip_derived_cl1, plain, 51.64/7.18 (~ (((!!) @ (^[Y0 : a > a > $o]: 51.64/7.18 (((!!) @ (^[Y1 : a]: 51.64/7.18 (((!!) @ (^[Y2 : a]: 51.64/7.18 (((((((((!!) @ (^[Y3 : a]: 51.64/7.18 (((!!) @ ( 51.64/7.18 ^[Y4 : a]: 51.64/7.18 (((!!) @ ( 51.64/7.18 ^[Y5 : a]: 51.64/7.18 (( 51.64/7.18 (( 51.64/7.18 (( 51.64/7.18 (!!) @ ( 51.64/7.18 ^[Y6 : 51.64/7.18 a > a > $o]: 51.64/7.18 (( 51.64/7.18 (( 51.64/7.18 (( 51.64/7.18 (!!) @ ( 51.64/7.18 ^[Y7 : a]: 51.64/7.18 (( 51.64/7.18 (!!) @ ( 51.64/7.18 ^[Y8 : a]: 51.64/7.18 (( 51.64/7.18 (!!) @ ( 51.64/7.18 ^[Y9 : a]: 51.64/7.18 (( 51.64/7.18 (( 51.64/7.18 (Y6 @ 51.64/7.18 Y7 @ 51.64/7.18 Y8) & 51.64/7.18 (Y6 @ 51.64/7.18 Y8 @ Y9))) => 51.64/7.18 (Y6 @ 51.64/7.18 Y7 @ Y9)))))))))))) & 51.64/7.18 (( 51.64/7.18 (!!) @ ( 51.64/7.18 ^[Y7 : a]: 51.64/7.18 (( 51.64/7.18 (!!) @ ( 51.64/7.18 ^[Y8 : a]: 51.64/7.18 (( 51.64/7.18 (( 51.64/7.18 (Y0 @ 51.64/7.18 Y7 @ 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51.64/7.18 ^[Y7 : a]: 51.64/7.18 (( 51.64/7.18 ('#sk1' @ 51.64/7.18 Y6 @ 51.64/7.18 Y7) => 51.64/7.18 (Y5 @ 51.64/7.18 Y6 @ Y7))))))))) & 51.64/7.18 (( 51.64/7.18 (!!) @ ( 51.64/7.18 ^[Y6 : a]: 51.64/7.18 (( 51.64/7.18 (!!) @ ( 51.64/7.18 ^[Y7 : a]: 51.64/7.18 (( 51.64/7.18 (!!) @ ( 51.64/7.18 ^[Y8 : a]: 51.64/7.18 (( 51.64/7.18 (( 51.64/7.18 (Y5 @ 51.64/7.18 Y6 @ 51.64/7.18 Y7) & 51.64/7.18 (Y5 @ 51.64/7.18 Y7 @ Y8))) => 51.64/7.18 (Y5 @ 51.64/7.18 Y6 @ Y8)))))))))))))) => 51.64/7.18 (Y5 @ 51.64/7.18 Y3 @ Y4)))))) | 51.64/7.18 (( 51.64/7.18 (!!) @ ( 51.64/7.18 ^[Y5 : 51.64/7.18 a > a > $o]: 51.64/7.18 (( 51.64/7.18 (( 51.64/7.18 (( 51.64/7.18 (!!) @ ( 51.64/7.18 ^[Y6 : a]: 51.64/7.18 (( 51.64/7.18 (!!) @ ( 51.64/7.18 ^[Y7 : a]: 51.64/7.18 (( 51.64/7.18 (Y0 @ 51.64/7.18 Y6 @ 51.64/7.18 Y7) => 51.64/7.18 (Y5 @ 51.64/7.18 Y6 @ Y7))))))))) & 51.64/7.18 (( 51.64/7.18 (!!) @ ( 51.64/7.18 ^[Y6 : a]: 51.64/7.18 (( 51.64/7.18 (!!) @ ( 51.64/7.18 ^[Y7 : a]: 51.64/7.18 (( 51.64/7.18 (!!) @ ( 51.64/7.18 ^[Y8 : a]: 51.64/7.18 (( 51.64/7.18 (( 51.64/7.18 (Y5 @ 51.64/7.18 Y7 @ 51.64/7.18 Y8) & 51.64/7.18 (Y5 @ 51.64/7.18 Y6 @ Y7))) => 51.64/7.18 (Y5 @ 51.64/7.18 Y6 @ Y8)))))))))))))) => 51.64/7.18 (Y5 @ 51.64/7.18 Y3 @ Y4)))))))) => 51.64/7.18 (( 51.64/7.18 (!!) @ ( 51.64/7.18 ^[Y5 : 51.64/7.18 a > a > $o]: 51.64/7.18 (( 51.64/7.18 (( 51.64/7.18 (( 51.64/7.18 (!!) @ ( 51.64/7.18 ^[Y6 : a]: 51.64/7.18 (( 51.64/7.18 (!!) @ ( 51.64/7.18 ^[Y7 : a]: 51.64/7.18 (( 51.64/7.18 (( 51.64/7.18 ('#sk1' @ 51.64/7.18 Y6 @ 51.64/7.18 Y7) | 51.64/7.18 (Y0 @ 51.64/7.18 Y6 @ Y7))) => 51.64/7.18 (Y5 @ 51.64/7.18 Y6 @ Y7))))))))) & 51.64/7.18 (( 51.64/7.18 (!!) @ ( 51.64/7.18 ^[Y6 : a]: 51.64/7.18 (( 51.64/7.18 (!!) @ ( 51.64/7.18 ^[Y7 : a]: 51.64/7.18 (( 51.64/7.18 (!!) @ ( 51.64/7.18 ^[Y8 : a]: 51.64/7.18 (( 51.64/7.18 (( 51.64/7.18 (Y5 @ 51.64/7.18 Y6 @ 51.64/7.18 Y7) & 51.64/7.18 (Y5 @ 51.64/7.18 Y7 @ Y8))) => 51.64/7.18 (Y5 @ 51.64/7.18 Y6 @ Y8)))))))))))))) => 51.64/7.18 (Y5 @ 51.64/7.18 Y3 @ Y4)))))))))))))))) => 51.64/7.18 (((!!) @ (^[Y3 : a > a > $o]: 51.64/7.18 (((((((!!) @ ( 51.64/7.18 ^[Y4 : a]: 51.64/7.18 (( 51.64/7.18 (!!) @ ( 51.64/7.18 ^[Y5 : a]: 51.64/7.18 (( 51.64/7.18 (( 51.64/7.18 ('#sk1' @ 51.64/7.18 Y4 @ 51.64/7.18 Y5) | 51.64/7.18 (Y0 @ 51.64/7.18 Y4 @ Y5))) => 51.64/7.18 (Y3 @ 51.64/7.18 Y4 @ Y5))))))))) & 51.64/7.18 (((!!) @ ( 51.64/7.18 ^[Y4 : a]: 51.64/7.18 (( 51.64/7.18 (!!) @ ( 51.64/7.18 ^[Y5 : a]: 51.64/7.18 (( 51.64/7.18 (!!) @ ( 51.64/7.18 ^[Y6 : a]: 51.64/7.18 (( 51.64/7.18 (( 51.64/7.18 (Y3 @ 51.64/7.18 Y5 @ 51.64/7.18 Y6) & 51.64/7.18 (Y3 @ 51.64/7.18 Y4 @ Y5))) => 51.64/7.18 (Y3 @ 51.64/7.18 Y4 @ Y6)))))))))))))) => 51.64/7.18 (Y3 @ Y1 @ Y2)))))))) => 51.64/7.18 (((!!) @ (^[Y3 : a > a > $o]: 51.64/7.18 (((((((!!) @ ( 51.64/7.18 ^[Y4 : a]: 51.64/7.18 (((!!) @ ( 51.64/7.18 ^[Y5 : a]: 51.64/7.18 (( 51.64/7.18 (!!) @ ( 51.64/7.18 ^[Y6 : a]: 51.64/7.18 (( 51.64/7.18 (( 51.64/7.18 (Y3 @ 51.64/7.18 Y5 @ 51.64/7.18 Y6) & 51.64/7.18 (Y3 @ 51.64/7.18 Y4 @ Y5))) => 51.64/7.18 (Y3 @ 51.64/7.18 Y4 @ Y6)))))))))))) & 51.64/7.18 (((!!) @ ( 51.64/7.18 ^[Y4 : a]: 51.64/7.18 (((!!) @ ( 51.64/7.18 ^[Y5 : a]: 51.64/7.18 (( 51.64/7.18 (( 51.64/7.18 ('#sk1' @ 51.64/7.18 Y4 @ 51.64/7.18 Y5) | 51.64/7.18 (Y0 @ 51.64/7.18 Y4 @ Y5))) => 51.64/7.18 (Y3 @ 51.64/7.18 Y4 @ Y5))))))))))) => 51.64/7.18 (Y3 @ Y1 @ Y2)))))))))))))))))), 51.64/7.18 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl0])). 51.64/7.18 thf(zip_derived_cl2, plain, 51.64/7.18 (~ (((!!) @ (^[Y0 : a]: 51.64/7.18 (((!!) @ (^[Y1 : a]: 51.64/7.18 (((((((((!!) @ (^[Y2 : a]: 51.64/7.18 (((!!) @ (^[Y3 : a]: 51.64/7.18 (((!!) @ ( 51.64/7.18 ^[Y4 : a]: 51.64/7.18 (((( 51.64/7.18 (( 51.64/7.18 (!!) @ ( 51.64/7.18 ^[Y5 : 51.64/7.18 a > a > $o]: 51.64/7.18 (( 51.64/7.18 (( 51.64/7.18 (( 51.64/7.18 (!!) @ ( 51.64/7.18 ^[Y6 : a]: 51.64/7.18 (( 51.64/7.18 (!!) @ ( 51.64/7.18 ^[Y7 : a]: 51.64/7.18 (( 51.64/7.18 (!!) @ ( 51.64/7.18 ^[Y8 : a]: 51.64/7.18 (( 51.64/7.18 (( 51.64/7.18 (Y5 @ 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51.64/7.19 (Y0 @ Y1 @ Y3)))))))))))))) => 51.64/7.19 (Y0 @ '#sk3' @ '#sk4')))))) 51.64/7.19 | ~ (((!!) @ (^[Y0 : a]: 51.64/7.19 (((!!) @ (^[Y1 : a]: 51.64/7.19 (((((((!!) @ (^[Y2 : a > a > $o]: 51.64/7.19 (((((((!!) @ (^[Y3 : a]: 51.64/7.19 (((!!) @ ( 51.64/7.19 ^[Y4 : a]: 51.64/7.19 (( 51.64/7.19 ('#sk1' @ 51.64/7.19 Y3 @ 51.64/7.19 Y4) => 51.64/7.19 (Y2 @ 51.64/7.19 Y3 @ Y4))))))))) & 51.64/7.19 (((!!) @ (^[Y3 : a]: 51.64/7.19 (((!!) @ ( 51.64/7.19 ^[Y4 : a]: 51.64/7.19 (( 51.64/7.19 (!!) @ ( 51.64/7.19 ^[Y5 : a]: 51.64/7.19 (( 51.64/7.19 (( 51.64/7.19 (Y2 @ 51.64/7.19 Y3 @ 51.64/7.19 Y4) & 51.64/7.19 (Y2 @ 51.64/7.19 Y4 @ Y5))) => 51.64/7.19 (Y2 @ 51.64/7.19 Y3 @ Y5)))))))))))))) => 51.64/7.19 (Y2 @ Y0 @ Y1)))))) | 51.64/7.19 (((!!) @ (^[Y2 : a > a > $o]: 51.64/7.19 (((((((!!) @ (^[Y3 : a]: 51.64/7.19 (((!!) @ ( 51.64/7.19 ^[Y4 : a]: 51.64/7.19 (( 51.64/7.19 ('#sk2' @ 51.64/7.19 Y3 @ 51.64/7.19 Y4) => 51.64/7.19 (Y2 @ 51.64/7.19 Y3 @ Y4))))))))) & 51.64/7.19 (((!!) @ (^[Y3 : a]: 51.64/7.19 (((!!) @ ( 51.64/7.19 ^[Y4 : a]: 51.64/7.19 (( 51.64/7.19 (!!) @ ( 51.64/7.19 ^[Y5 : a]: 51.64/7.19 (( 51.64/7.19 (( 51.64/7.19 (Y2 @ 51.64/7.19 Y4 @ 51.64/7.19 Y5) & 51.64/7.19 (Y2 @ 51.64/7.19 Y3 @ Y4))) => 51.64/7.19 (Y2 @ 51.64/7.19 Y3 @ Y5)))))))))))))) => 51.64/7.19 (Y2 @ Y0 @ Y1)))))))) => 51.64/7.19 (((!!) @ (^[Y2 : a > a > $o]: 51.64/7.19 (((((((!!) @ (^[Y3 : a]: 51.64/7.19 (((!!) @ ( 51.64/7.19 ^[Y4 : a]: 51.64/7.19 ( 51.64/7.19 ( 51.64/7.19 (( 51.64/7.19 ('#sk1' @ 51.64/7.19 Y3 @ 51.64/7.19 Y4) | 51.64/7.19 ('#sk2' @ 51.64/7.19 Y3 @ Y4))) => 51.64/7.19 (Y2 @ 51.64/7.19 Y3 @ Y4))))))))) & 51.64/7.19 (((!!) @ (^[Y3 : a]: 51.64/7.19 (((!!) @ ( 51.64/7.19 ^[Y4 : a]: 51.64/7.19 ( 51.64/7.19 ( 51.64/7.19 (!!) @ ( 51.64/7.19 ^[Y5 : a]: 51.64/7.19 (( 51.64/7.19 (( 51.64/7.19 (Y2 @ 51.64/7.19 Y3 @ 51.64/7.19 Y4) & 51.64/7.19 (Y2 @ 51.64/7.19 Y4 @ Y5))) => 51.64/7.19 (Y2 @ 51.64/7.19 Y3 @ Y5)))))))))))))) => 51.64/7.19 (Y2 @ Y0 @ Y1)))))))))))))))), 51.64/7.19 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl21])). 51.64/7.19 thf(zip_derived_cl33, plain, 51.64/7.19 ((~ ('#form11') 51.64/7.19 | (((!!) @ (^[Y0 : a > a > $o]: 51.64/7.19 (((((((!!) @ (^[Y1 : a]: 51.64/7.19 (((!!) @ (^[Y2 : a]: 51.64/7.19 ((((('#sk1' @ Y1 @ Y2) | 51.64/7.19 ('#sk2' @ Y1 @ Y2))) => 51.64/7.19 (Y0 @ Y1 @ Y2))))))))) & 51.64/7.19 (((!!) @ (^[Y1 : a]: 51.64/7.19 (((!!) @ (^[Y2 : a]: 51.64/7.19 (((!!) @ (^[Y3 : a]: 51.64/7.19 (((((Y0 @ Y2 @ 51.64/7.19 Y3) & (Y0 @ 51.64/7.19 Y1 @ Y2))) => 51.64/7.19 (Y0 @ Y1 @ Y3)))))))))))))) => 51.64/7.19 (Y0 @ '#sk3' @ '#sk4')))))))), 51.64/7.19 define([status(thm)])). 51.64/7.19 thf(zip_derived_cl34, plain, 51.64/7.19 (![X2 : a > a > $o]: 51.64/7.19 ( (((((((!!) @ (^[Y0 : a]: 51.64/7.19 (((!!) @ (^[Y1 : a]: 51.64/7.19 ((((('#sk1' @ Y0 @ Y1) | ('#sk2' @ Y0 @ 51.64/7.19 Y1))) => 51.64/7.19 (X2 @ Y0 @ Y1))))))))) & 51.64/7.19 (((!!) @ (^[Y0 : a]: 51.64/7.19 (((!!) @ (^[Y1 : a]: 51.64/7.19 (((!!) @ (^[Y2 : a]: 51.64/7.19 (((((X2 @ Y1 @ Y2) & (X2 @ 51.64/7.19 Y0 @ Y1))) => 51.64/7.19 (X2 @ Y0 @ Y2)))))))))))))) => 51.64/7.19 (X2 @ '#sk3' @ '#sk4'))) 51.64/7.19 | ~ ('#form11'))), 51.64/7.19 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl33])). 51.64/7.19 thf(zip_derived_cl35, plain, 51.64/7.19 (( (((((((!!) @ (^[Y0 : a]: 51.64/7.19 (((!!) @ (^[Y1 : a]: 51.64/7.19 ((((('#sk1' @ Y0 @ Y1) | ('#sk2' @ Y0 @ 51.64/7.19 Y1))) => 51.64/7.19 ('#sk5' @ Y0 @ Y1))))))))) & 51.64/7.19 (((!!) @ (^[Y0 : a]: 51.64/7.19 (((!!) @ (^[Y1 : a]: 51.64/7.19 (((!!) @ (^[Y2 : a]: 51.64/7.19 ((((('#sk5' @ Y1 @ Y2) & 51.64/7.19 ('#sk5' @ Y0 @ Y1))) => 51.64/7.19 ('#sk5' @ Y0 @ Y2)))))))))))))) => 51.64/7.19 ('#sk5' @ '#sk3' @ '#sk4'))) 51.64/7.19 | ~ ('#form11'))), 51.64/7.19 inference('triggered_bool_instantiation', [status(thm)], 51.64/7.19 [zip_derived_cl34])). 51.64/7.19 thf(zip_derived_cl6, plain, 51.64/7.19 (~ (((!!) @ (^[Y0 : a > a > $o]: 51.64/7.19 (((((((!!) @ (^[Y1 : a]: 51.64/7.19 (((!!) @ (^[Y2 : a]: 51.64/7.19 (((!!) @ (^[Y3 : a]: 51.64/7.19 (((((Y0 @ Y2 @ 51.64/7.19 Y3) & (Y0 @ 51.64/7.19 Y1 @ Y2))) => 51.64/7.19 (Y0 @ Y1 @ Y3)))))))))))) & 51.64/7.19 (((!!) @ (^[Y1 : a]: 51.64/7.19 (((!!) @ (^[Y2 : a]: 51.64/7.19 ((((('#sk1' @ Y1 @ Y2) | 51.64/7.19 ('#sk2' @ Y1 @ Y2))) => 51.64/7.19 (Y0 @ Y1 @ Y2))))))))))) => 51.64/7.19 (Y0 @ '#sk3' @ '#sk4'))))))), 51.64/7.19 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl4])). 51.64/7.19 thf(zip_derived_cl8, plain, 51.64/7.19 (~ (((((((!!) @ (^[Y0 : a]: 51.64/7.19 (((!!) @ (^[Y1 : a]: 51.64/7.19 (((!!) @ (^[Y2 : a]: 51.64/7.19 ((((('#sk5' @ Y1 @ Y2) & 51.64/7.19 ('#sk5' @ Y0 @ Y1))) => 51.64/7.19 ('#sk5' @ Y0 @ Y2)))))))))))) & 51.64/7.19 (((!!) @ (^[Y0 : a]: 51.64/7.19 (((!!) @ (^[Y1 : a]: 51.64/7.19 ((((('#sk1' @ Y0 @ Y1) | ('#sk2' @ Y0 @ 51.64/7.19 Y1))) => 51.64/7.19 ('#sk5' @ Y0 @ Y1))))))))))) => 51.64/7.19 ('#sk5' @ '#sk3' @ '#sk4')))), 51.64/7.19 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl6])). 51.64/7.19 thf(zip_derived_cl11, plain, (~ ('#sk5' @ '#sk3' @ '#sk4')), 51.64/7.19 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl8])). 51.64/7.19 thf(zip_derived_cl215, plain, 51.64/7.19 (( (((((((!!) @ (^[Y0 : a]: 51.64/7.19 (((!!) @ (^[Y1 : a]: 51.64/7.19 ((((('#sk1' @ Y0 @ Y1) | ('#sk2' @ Y0 @ 51.64/7.19 Y1))) => 51.64/7.19 ('#sk5' @ Y0 @ Y1))))))))) & 51.64/7.19 (((!!) @ (^[Y0 : a]: 51.64/7.19 (((!!) @ (^[Y1 : a]: 51.64/7.19 (((!!) @ (^[Y2 : a]: 51.64/7.19 ((((('#sk5' @ Y1 @ Y2) & 51.64/7.19 ('#sk5' @ Y0 @ Y1))) => 51.64/7.19 ('#sk5' @ Y0 @ Y2)))))))))))))) => 51.64/7.19 ($false))) 51.64/7.19 | ~ ('#form11'))), 51.64/7.19 inference('demod', [status(thm)], [zip_derived_cl35, zip_derived_cl11])). 51.64/7.19 thf(zip_derived_cl216, plain, 51.64/7.19 (( (((~) @ (((((!!) @ (^[Y0 : a]: 51.64/7.19 (((!!) @ (^[Y1 : a]: 51.64/7.19 ((((('#sk1' @ Y0 @ Y1) | ('#sk2' @ 51.64/7.19 Y0 @ Y1))) => 51.64/7.19 ('#sk5' @ Y0 @ Y1))))))))) & 51.64/7.19 (((!!) @ (^[Y0 : a]: 51.64/7.19 (((!!) @ (^[Y1 : a]: 51.64/7.19 (((!!) @ (^[Y2 : a]: 51.64/7.19 ((((('#sk5' @ Y1 @ Y2) & 51.64/7.19 ('#sk5' @ Y0 @ Y1))) => 51.64/7.19 ('#sk5' @ Y0 @ Y2)))))))))))))))) 51.64/7.19 | ~ ('#form11'))), 51.64/7.19 inference('simplify boolean subterms', [status(thm)], [zip_derived_cl215])). 51.64/7.19 thf(zip_derived_cl217, plain, 51.64/7.19 ((~ (((((!!) @ (^[Y0 : a]: 51.64/7.19 (((!!) @ (^[Y1 : a]: 51.64/7.19 ((((('#sk1' @ Y0 @ Y1) | ('#sk2' @ Y0 @ Y1))) => 51.64/7.19 ('#sk5' @ Y0 @ Y1))))))))) & 51.64/7.19 (((!!) @ (^[Y0 : a]: 51.64/7.19 (((!!) @ (^[Y1 : a]: 51.64/7.19 (((!!) @ (^[Y2 : a]: 51.64/7.19 ((((('#sk5' @ Y1 @ Y2) & 51.64/7.19 ('#sk5' @ Y0 @ Y1))) => 51.64/7.19 ('#sk5' @ Y0 @ Y2)))))))))))))) 51.64/7.19 | ~ ('#form11'))), 51.64/7.19 inference('simplify nested equalities', [status(thm)], 51.64/7.19 [zip_derived_cl216])). 51.64/7.19 thf(zip_derived_cl218, plain, 51.64/7.19 ((~ (((!!) @ (^[Y0 : a]: 51.64/7.19 (((!!) @ (^[Y1 : a]: 51.64/7.19 ((((('#sk1' @ Y0 @ Y1) | ('#sk2' @ Y0 @ Y1))) => 51.64/7.19 ('#sk5' @ Y0 @ Y1))))))))) 51.64/7.19 | ~ (((!!) @ (^[Y0 : a]: 51.64/7.19 (((!!) @ (^[Y1 : a]: 51.64/7.19 (((!!) @ (^[Y2 : a]: 51.64/7.19 ((((('#sk5' @ Y1 @ Y2) & 51.64/7.19 ('#sk5' @ Y0 @ Y1))) => 51.64/7.19 ('#sk5' @ Y0 @ Y2)))))))))))) 51.64/7.19 | ~ ('#form11'))), 51.64/7.19 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl217])). 51.64/7.19 thf(zip_derived_cl219, plain, 51.64/7.19 ((~ (((!!) @ (^[Y0 : a]: 51.64/7.19 ((((('#sk1' @ ('#sk47' @ '#sk5') @ Y0) | ('#sk2' @ 51.64/7.19 ('#sk47' @ '#sk5') @ Y0))) => 51.64/7.19 ('#sk5' @ ('#sk47' @ '#sk5') @ Y0)))))) 51.64/7.19 | ~ ('#form11') 51.64/7.19 | ~ (((!!) @ (^[Y0 : a]: 51.64/7.19 (((!!) @ (^[Y1 : a]: 51.64/7.19 (((!!) @ (^[Y2 : a]: 51.64/7.19 ((((('#sk5' @ Y1 @ Y2) & 51.64/7.19 ('#sk5' @ Y0 @ Y1))) => 51.64/7.19 ('#sk5' @ Y0 @ Y2)))))))))))))), 51.64/7.19 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl218])). 51.64/7.19 thf(zip_derived_cl220, plain, 51.64/7.19 ((~ ((((('#sk1' @ ('#sk47' @ '#sk5') @ ('#sk77' @ '#sk5')) | ('#sk2' @ 51.64/7.19 ('#sk47' @ '#sk5') @ ('#sk77' @ '#sk5')))) => 51.64/7.19 ('#sk5' @ ('#sk47' @ '#sk5') @ ('#sk77' @ '#sk5')))) 51.64/7.19 | ~ (((!!) @ (^[Y0 : a]: 51.64/7.19 (((!!) @ (^[Y1 : a]: 51.64/7.19 (((!!) @ (^[Y2 : a]: 51.64/7.19 ((((('#sk5' @ Y1 @ Y2) & 51.64/7.19 ('#sk5' @ Y0 @ Y1))) => 51.64/7.19 ('#sk5' @ Y0 @ Y2)))))))))))) 51.64/7.19 | ~ ('#form11'))), 51.64/7.19 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl219])). 51.64/7.19 thf(zip_derived_cl222, plain, 51.64/7.19 ((~ ('#sk5' @ ('#sk47' @ '#sk5') @ ('#sk77' @ '#sk5')) 51.64/7.19 | ~ ('#form11') 51.64/7.19 | ~ (((!!) @ (^[Y0 : a]: 51.64/7.19 (((!!) @ (^[Y1 : a]: 51.64/7.19 (((!!) @ (^[Y2 : a]: 51.64/7.19 ((((('#sk5' @ Y1 @ Y2) & 51.64/7.19 ('#sk5' @ Y0 @ Y1))) => 51.64/7.19 ('#sk5' @ Y0 @ Y2)))))))))))))), 51.64/7.19 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl220])). 51.64/7.19 thf(zip_derived_cl224, plain, 51.64/7.19 ((~ (((!!) @ (^[Y0 : a]: 51.64/7.19 (((!!) @ (^[Y1 : a]: 51.64/7.19 ((((('#sk5' @ Y0 @ Y1) & ('#sk5' @ 51.64/7.19 ('#sk181' @ '#sk5') @ Y0))) => 51.64/7.19 ('#sk5' @ ('#sk181' @ '#sk5') @ Y1))))))))) 51.64/7.19 | ~ ('#form11') 51.64/7.19 | ~ ('#sk5' @ ('#sk47' @ '#sk5') @ ('#sk77' @ '#sk5')))), 51.64/7.19 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl222])). 51.64/7.19 thf(zip_derived_cl226, plain, 51.64/7.19 ((~ (((!!) @ (^[Y0 : a]: 51.64/7.19 ((((('#sk5' @ ('#sk247' @ '#sk5') @ Y0) & ('#sk5' @ 51.64/7.19 ('#sk181' @ '#sk5') @ ('#sk247' @ '#sk5')))) => 51.64/7.19 ('#sk5' @ ('#sk181' @ '#sk5') @ Y0)))))) 51.64/7.19 | ~ ('#sk5' @ ('#sk47' @ '#sk5') @ ('#sk77' @ '#sk5')) 51.64/7.19 | ~ ('#form11'))), 51.64/7.19 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl224])). 51.64/7.19 thf(zip_derived_cl228, plain, 51.64/7.19 ((~ ((((('#sk5' @ ('#sk247' @ '#sk5') @ ('#sk322' @ '#sk5')) & ('#sk5' @ 51.64/7.19 ('#sk181' @ '#sk5') @ ('#sk247' @ '#sk5')))) => 51.64/7.19 ('#sk5' @ ('#sk181' @ '#sk5') @ ('#sk322' @ '#sk5')))) 51.64/7.19 | ~ ('#form11') 51.64/7.19 | ~ ('#sk5' @ ('#sk47' @ '#sk5') @ ('#sk77' @ '#sk5')))), 51.64/7.19 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl226])). 51.64/7.19 thf(zip_derived_cl230, plain, 51.64/7.19 (( ((('#sk5' @ ('#sk247' @ '#sk5') @ ('#sk322' @ '#sk5')) & ('#sk5' @ 51.64/7.19 ('#sk181' @ '#sk5') @ ('#sk247' @ '#sk5')))) 51.64/7.19 | ~ ('#sk5' @ ('#sk47' @ '#sk5') @ ('#sk77' @ '#sk5')) 51.64/7.19 | ~ ('#form11'))), 51.64/7.19 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl228])). 51.64/7.19 thf(zip_derived_cl234, plain, 51.64/7.19 (( ('#sk5' @ ('#sk247' @ '#sk5') @ ('#sk322' @ '#sk5')) 51.64/7.19 | ~ ('#form11') 51.64/7.19 | ~ ('#sk5' @ ('#sk47' @ '#sk5') @ ('#sk77' @ '#sk5')))), 51.64/7.19 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl230])). 51.64/7.19 thf(zip_derived_cl34, plain, 51.64/7.19 (![X2 : a > a > $o]: 51.64/7.19 ( (((((((!!) @ (^[Y0 : a]: 51.64/7.19 (((!!) @ (^[Y1 : a]: 51.64/7.19 ((((('#sk1' @ Y0 @ Y1) | ('#sk2' @ Y0 @ 51.64/7.19 Y1))) => 51.64/7.19 (X2 @ Y0 @ Y1))))))))) & 51.64/7.19 (((!!) @ (^[Y0 : a]: 51.64/7.19 (((!!) @ (^[Y1 : a]: 51.64/7.19 (((!!) @ (^[Y2 : a]: 51.64/7.19 (((((X2 @ Y1 @ Y2) & (X2 @ 51.64/7.19 Y0 @ Y1))) => 51.64/7.19 (X2 @ Y0 @ Y2)))))))))))))) => 51.64/7.19 (X2 @ '#sk3' @ '#sk4'))) 51.64/7.19 | ~ ('#form11'))), 51.64/7.19 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl33])). 51.64/7.19 thf(zip_derived_cl44, plain, 51.64/7.19 (![X2 : a > a > $o]: 51.64/7.19 (~ (((((!!) @ (^[Y0 : a]: 51.64/7.19 (((!!) @ (^[Y1 : a]: 51.64/7.19 ((((('#sk1' @ Y0 @ Y1) | ('#sk2' @ Y0 @ 51.64/7.19 Y1))) => 51.64/7.19 (X2 @ Y0 @ Y1))))))))) & 51.64/7.19 (((!!) @ (^[Y0 : a]: 51.64/7.19 (((!!) @ (^[Y1 : a]: 51.64/7.19 (((!!) @ (^[Y2 : a]: 51.64/7.19 (((((X2 @ Y1 @ Y2) & (X2 @ 51.64/7.19 Y0 @ Y1))) => 51.64/7.19 (X2 @ Y0 @ Y2)))))))))))))) 51.64/7.19 | (X2 @ '#sk3' @ '#sk4') 51.64/7.19 | ~ ('#form11'))), 51.64/7.19 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl34])). 51.64/7.19 thf(zip_derived_cl55, plain, 51.64/7.19 (![X2 : a > a > $o]: 51.64/7.19 (~ (((!!) @ (^[Y0 : a]: 51.64/7.19 (((!!) @ (^[Y1 : a]: 51.64/7.19 ((((('#sk1' @ Y0 @ Y1) | ('#sk2' @ Y0 @ Y1))) => 51.64/7.19 (X2 @ Y0 @ Y1))))))))) 51.64/7.19 | ~ (((!!) @ (^[Y0 : a]: 51.64/7.19 (((!!) @ (^[Y1 : a]: 51.64/7.19 (((!!) @ (^[Y2 : a]: 51.64/7.19 (((((X2 @ Y1 @ Y2) & (X2 @ 51.64/7.19 Y0 @ Y1))) => 51.64/7.19 (X2 @ Y0 @ Y2)))))))))))) 51.64/7.19 | ~ ('#form11') 51.64/7.19 | (X2 @ '#sk3' @ '#sk4'))), 51.64/7.19 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl44])). 51.64/7.19 thf(zip_derived_cl69, plain, 51.64/7.19 (![X2 : a > a > $o]: 51.64/7.19 (~ (((!!) @ (^[Y0 : a]: 51.64/7.19 ((((('#sk1' @ ('#sk47' @ X2) @ Y0) | ('#sk2' @ 51.64/7.19 ('#sk47' @ X2) @ Y0))) => 51.64/7.19 (X2 @ ('#sk47' @ X2) @ Y0)))))) 51.64/7.19 | (X2 @ '#sk3' @ '#sk4') 51.64/7.19 | ~ ('#form11') 51.64/7.19 | ~ (((!!) @ (^[Y0 : a]: 51.64/7.19 (((!!) @ (^[Y1 : a]: 51.64/7.19 (((!!) @ (^[Y2 : a]: 51.64/7.19 (((((X2 @ Y1 @ Y2) & (X2 @ 51.64/7.19 Y0 @ Y1))) => 51.64/7.19 (X2 @ Y0 @ Y2)))))))))))))), 51.64/7.19 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl55])). 51.64/7.19 thf(zip_derived_cl82, plain, 51.64/7.19 (![X2 : a > a > $o]: 51.64/7.19 (~ ((((('#sk1' @ ('#sk47' @ X2) @ ('#sk77' @ X2)) | ('#sk2' @ 51.64/7.19 ('#sk47' @ X2) @ ('#sk77' @ X2)))) => 51.64/7.19 (X2 @ ('#sk47' @ X2) @ ('#sk77' @ X2)))) 51.64/7.19 | ~ (((!!) @ (^[Y0 : a]: 51.64/7.19 (((!!) @ (^[Y1 : a]: 51.64/7.19 (((!!) @ (^[Y2 : a]: 51.64/7.19 (((((X2 @ Y1 @ Y2) & (X2 @ 51.64/7.19 Y0 @ Y1))) => 51.64/7.19 (X2 @ Y0 @ Y2)))))))))))) 51.64/7.19 | ~ ('#form11') 51.64/7.19 | (X2 @ '#sk3' @ '#sk4'))), 51.64/7.19 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl69])). 51.64/7.19 thf(zip_derived_cl98, plain, 51.64/7.19 (![X2 : a > a > $o]: 51.64/7.19 (~ (X2 @ ('#sk47' @ X2) @ ('#sk77' @ X2)) 51.64/7.19 | (X2 @ '#sk3' @ '#sk4') 51.64/7.19 | ~ ('#form11') 51.64/7.19 | ~ (((!!) @ (^[Y0 : a]: 51.64/7.19 (((!!) @ (^[Y1 : a]: 51.64/7.19 (((!!) @ (^[Y2 : a]: 51.64/7.19 (((((X2 @ Y1 @ Y2) & (X2 @ 51.64/7.19 Y0 @ Y1))) => 51.64/7.19 (X2 @ Y0 @ Y2)))))))))))))), 51.64/7.19 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl82])). 51.64/7.19 thf(zip_derived_cl108, plain, 51.64/7.19 (![X2 : a > a > $o]: 51.64/7.19 (~ (((!!) @ (^[Y0 : a]: 51.64/7.19 (((!!) @ (^[Y1 : a]: 51.64/7.19 (((((X2 @ Y0 @ Y1) & (X2 @ 51.64/7.19 ('#sk181' @ X2) @ Y0))) => 51.64/7.19 (X2 @ ('#sk181' @ X2) @ Y1))))))))) 51.64/7.19 | ~ ('#form11') 51.64/7.19 | (X2 @ '#sk3' @ '#sk4') 51.64/7.19 | ~ (X2 @ ('#sk47' @ X2) @ ('#sk77' @ X2)))), 51.64/7.19 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl98])). 51.64/7.19 thf(zip_derived_cl118, plain, 51.64/7.19 (![X2 : a > a > $o]: 51.64/7.19 (~ (((!!) @ (^[Y0 : a]: 51.64/7.19 (((((X2 @ ('#sk247' @ X2) @ Y0) & (X2 @ 51.64/7.19 ('#sk181' @ X2) @ ('#sk247' @ X2)))) => 51.64/7.19 (X2 @ ('#sk181' @ X2) @ Y0)))))) 51.64/7.19 | ~ (X2 @ ('#sk47' @ X2) @ ('#sk77' @ X2)) 51.64/7.19 | (X2 @ '#sk3' @ '#sk4') 51.64/7.19 | ~ ('#form11'))), 51.64/7.19 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl108])). 51.64/7.19 thf(zip_derived_cl130, plain, 51.64/7.19 (![X2 : a > a > $o]: 51.64/7.19 (~ (((((X2 @ ('#sk247' @ X2) @ ('#sk322' @ X2)) & (X2 @ 51.64/7.19 ('#sk181' @ X2) @ ('#sk247' @ X2)))) => 51.64/7.19 (X2 @ ('#sk181' @ X2) @ ('#sk322' @ X2)))) 51.64/7.19 | ~ ('#form11') 51.64/7.19 | (X2 @ '#sk3' @ '#sk4') 51.64/7.19 | ~ (X2 @ ('#sk47' @ X2) @ ('#sk77' @ X2)))), 51.64/7.19 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl118])). 51.64/7.19 thf(zip_derived_cl144, plain, 51.64/7.19 (![X2 : a > a > $o]: 51.64/7.19 (~ (X2 @ ('#sk181' @ X2) @ ('#sk322' @ X2)) 51.64/7.19 | ~ (X2 @ ('#sk47' @ X2) @ ('#sk77' @ X2)) 51.64/7.19 | (X2 @ '#sk3' @ '#sk4') 51.64/7.19 | ~ ('#form11'))), 51.64/7.19 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl130])). 51.64/7.19 thf(zip_derived_cl10, plain, 51.64/7.19 ( (((((!!) @ (^[Y0 : a]: 51.64/7.19 (((!!) @ (^[Y1 : a]: 51.64/7.19 (((!!) @ (^[Y2 : a]: 51.64/7.19 ((((('#sk5' @ Y1 @ Y2) & 51.64/7.19 ('#sk5' @ Y0 @ Y1))) => 51.64/7.19 ('#sk5' @ Y0 @ Y2)))))))))))) & 51.64/7.19 (((!!) @ (^[Y0 : a]: 51.64/7.19 (((!!) @ (^[Y1 : a]: 51.64/7.19 ((((('#sk1' @ Y0 @ Y1) | ('#sk2' @ Y0 @ Y1))) => 51.64/7.19 ('#sk5' @ Y0 @ Y1)))))))))))), 51.64/7.19 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl8])). 51.64/7.19 thf(zip_derived_cl14, plain, 51.64/7.19 ( (((!!) @ (^[Y0 : a]: 51.64/7.19 (((!!) @ (^[Y1 : a]: 51.64/7.19 ((((('#sk1' @ Y0 @ Y1) | ('#sk2' @ Y0 @ Y1))) => 51.64/7.19 ('#sk5' @ Y0 @ Y1)))))))))), 51.64/7.19 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl10])). 51.64/7.19 thf(zip_derived_cl17, plain, 51.64/7.19 (![X2 : a]: 51.64/7.19 (((!!) @ (^[Y0 : a]: 51.64/7.19 ((((('#sk1' @ X2 @ Y0) | ('#sk2' @ X2 @ Y0))) => 51.64/7.19 ('#sk5' @ X2 @ Y0))))))), 51.64/7.19 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl14])). 51.64/7.19 thf(zip_derived_cl20, plain, 51.64/7.19 (![X2 : a, X4 : a]: 51.64/7.19 ((((('#sk1' @ X2 @ X4) | ('#sk2' @ X2 @ X4))) => ('#sk5' @ X2 @ X4)))), 51.64/7.19 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl17])). 51.64/7.19 thf(zip_derived_cl24, plain, 51.64/7.19 (![X2 : a, X4 : a]: 51.64/7.19 (~ ((('#sk1' @ X2 @ X4) | ('#sk2' @ X2 @ X4))) | ('#sk5' @ X2 @ X4))), 51.64/7.19 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl20])). 51.64/7.19 thf(zip_derived_cl31, plain, 51.64/7.19 (![X2 : a, X4 : a]: (~ ('#sk1' @ X2 @ X4) | ('#sk5' @ X2 @ X4))), 51.64/7.19 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl24])). 51.64/7.19 thf(zip_derived_cl221, plain, 51.64/7.19 (( ((('#sk1' @ ('#sk47' @ '#sk5') @ ('#sk77' @ '#sk5')) | ('#sk2' @ 51.64/7.19 ('#sk47' @ '#sk5') @ ('#sk77' @ '#sk5')))) 51.64/7.19 | ~ ('#form11') 51.64/7.19 | ~ (((!!) @ (^[Y0 : a]: 51.64/7.19 (((!!) @ (^[Y1 : a]: 51.64/7.19 (((!!) @ (^[Y2 : a]: 51.64/7.19 ((((('#sk5' @ Y1 @ Y2) & 51.64/7.19 ('#sk5' @ Y0 @ Y1))) => 51.64/7.19 ('#sk5' @ Y0 @ Y2)))))))))))))), 51.64/7.19 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl220])). 51.64/7.19 thf(zip_derived_cl223, plain, 51.64/7.19 (( ('#sk1' @ ('#sk47' @ '#sk5') @ ('#sk77' @ '#sk5')) 51.64/7.19 | ('#sk2' @ ('#sk47' @ '#sk5') @ ('#sk77' @ '#sk5')) 51.64/7.19 | ~ (((!!) @ (^[Y0 : a]: 51.64/7.19 (((!!) @ (^[Y1 : a]: 51.64/7.19 (((!!) @ (^[Y2 : a]: 51.64/7.19 ((((('#sk5' @ Y1 @ Y2) & 51.64/7.19 ('#sk5' @ Y0 @ Y1))) => 51.64/7.19 ('#sk5' @ Y0 @ Y2)))))))))))) 51.64/7.19 | ~ ('#form11'))), 51.64/7.19 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl221])). 51.64/7.19 thf(zip_derived_cl225, plain, 51.64/7.19 ((~ (((!!) @ (^[Y0 : a]: 51.64/7.19 (((!!) @ (^[Y1 : a]: 51.64/7.19 ((((('#sk5' @ Y0 @ Y1) & ('#sk5' @ 51.64/7.19 ('#sk181' @ '#sk5') @ Y0))) => 51.64/7.19 ('#sk5' @ ('#sk181' @ '#sk5') @ Y1))))))))) 51.64/7.19 | ~ ('#form11') 51.64/7.19 | ('#sk2' @ ('#sk47' @ '#sk5') @ ('#sk77' @ '#sk5')) 51.64/7.19 | ('#sk1' @ ('#sk47' @ '#sk5') @ ('#sk77' @ '#sk5')))), 51.64/7.19 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl223])). 51.64/7.19 thf(zip_derived_cl227, plain, 51.64/7.19 ((~ (((!!) @ (^[Y0 : a]: 51.64/7.19 ((((('#sk5' @ ('#sk247' @ '#sk5') @ Y0) & ('#sk5' @ 51.64/7.19 ('#sk181' @ '#sk5') @ ('#sk247' @ '#sk5')))) => 51.64/7.19 ('#sk5' @ ('#sk181' @ '#sk5') @ Y0)))))) 51.64/7.19 | ('#sk1' @ ('#sk47' @ '#sk5') @ ('#sk77' @ '#sk5')) 51.64/7.19 | ('#sk2' @ ('#sk47' @ '#sk5') @ ('#sk77' @ '#sk5')) 51.64/7.19 | ~ ('#form11'))), 51.64/7.19 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl225])). 51.64/7.19 thf(zip_derived_cl229, plain, 51.64/7.19 ((~ ((((('#sk5' @ ('#sk247' @ '#sk5') @ ('#sk322' @ '#sk5')) & ('#sk5' @ 51.64/7.19 ('#sk181' @ '#sk5') @ ('#sk247' @ '#sk5')))) => 51.64/7.19 ('#sk5' @ ('#sk181' @ '#sk5') @ ('#sk322' @ '#sk5')))) 51.64/7.19 | ~ ('#form11') 51.64/7.19 | ('#sk2' @ ('#sk47' @ '#sk5') @ ('#sk77' @ '#sk5')) 51.64/7.19 | ('#sk1' @ ('#sk47' @ '#sk5') @ ('#sk77' @ '#sk5')))), 51.64/7.19 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl227])). 51.64/7.19 thf(zip_derived_cl233, plain, 51.64/7.19 ((~ ('#sk5' @ ('#sk181' @ '#sk5') @ ('#sk322' @ '#sk5')) 51.64/7.19 | ('#sk1' @ ('#sk47' @ '#sk5') @ ('#sk77' @ '#sk5')) 51.64/7.19 | ('#sk2' @ ('#sk47' @ '#sk5') @ ('#sk77' @ '#sk5')) 51.64/7.19 | ~ ('#form11'))), 51.64/7.19 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl229])). 51.64/7.19 thf(zip_derived_cl11, plain, (~ ('#sk5' @ '#sk3' @ '#sk4')), 51.64/7.19 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl8])). 51.64/7.19 thf(zip_derived_cl97, plain, 51.64/7.19 (![X2 : a > a > $o]: 51.64/7.19 ( ((('#sk1' @ ('#sk47' @ X2) @ ('#sk77' @ X2)) | ('#sk2' @ 51.64/7.19 ('#sk47' @ X2) @ ('#sk77' @ X2)))) 51.64/7.19 | (X2 @ '#sk3' @ '#sk4') 51.64/7.19 | ~ ('#form11') 51.64/7.19 | ~ (((!!) @ (^[Y0 : a]: 51.64/7.19 (((!!) @ (^[Y1 : a]: 51.64/7.19 (((!!) @ (^[Y2 : a]: 51.64/7.19 (((((X2 @ Y1 @ Y2) & (X2 @ 51.64/7.19 Y0 @ Y1))) => 51.64/7.19 (X2 @ Y0 @ Y2)))))))))))))), 51.64/7.19 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl82])). 51.64/7.19 thf(zip_derived_cl107, plain, 51.64/7.19 (![X2 : a > a > $o]: 51.64/7.19 ( ('#sk1' @ ('#sk47' @ X2) @ ('#sk77' @ X2)) 51.64/7.19 | ('#sk2' @ ('#sk47' @ X2) @ ('#sk77' @ X2)) 51.64/7.19 | ~ (((!!) @ (^[Y0 : a]: 51.64/7.19 (((!!) @ (^[Y1 : a]: 51.64/7.19 (((!!) @ (^[Y2 : a]: 51.64/7.19 (((((X2 @ Y1 @ Y2) & (X2 @ 51.64/7.19 Y0 @ Y1))) => 51.64/7.19 (X2 @ Y0 @ Y2)))))))))))) 51.64/7.19 | ~ ('#form11') 51.64/7.19 | (X2 @ '#sk3' @ '#sk4'))), 51.64/7.19 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl97])). 51.64/7.19 thf(zip_derived_cl117, plain, 51.64/7.19 (![X2 : a > a > $o]: 51.64/7.19 (~ (((!!) @ (^[Y0 : a]: 51.64/7.19 (((!!) @ (^[Y1 : a]: 51.64/7.19 (((((X2 @ Y0 @ Y1) & (X2 @ 51.64/7.19 ('#sk181' @ X2) @ Y0))) => 51.64/7.19 (X2 @ ('#sk181' @ X2) @ Y1))))))))) 51.64/7.19 | (X2 @ '#sk3' @ '#sk4') 51.64/7.19 | ~ ('#form11') 51.64/7.19 | ('#sk2' @ ('#sk47' @ X2) @ ('#sk77' @ X2)) 51.64/7.19 | ('#sk1' @ ('#sk47' @ X2) @ ('#sk77' @ X2)))), 51.64/7.19 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl107])). 51.64/7.19 thf(zip_derived_cl129, plain, 51.64/7.19 (![X2 : a > a > $o]: 51.64/7.19 (~ (((!!) @ (^[Y0 : a]: 51.64/7.19 (((((X2 @ ('#sk247' @ X2) @ Y0) & (X2 @ 51.64/7.19 ('#sk181' @ X2) @ ('#sk247' @ X2)))) => 51.64/7.19 (X2 @ ('#sk181' @ X2) @ Y0)))))) 51.64/7.19 | ('#sk1' @ ('#sk47' @ X2) @ ('#sk77' @ X2)) 51.64/7.19 | ('#sk2' @ ('#sk47' @ X2) @ ('#sk77' @ X2)) 51.64/7.19 | ~ ('#form11') 51.64/7.19 | (X2 @ '#sk3' @ '#sk4'))), 51.64/7.19 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl117])). 51.64/7.19 thf(zip_derived_cl142, plain, 51.64/7.19 (![X2 : a > a > $o]: 51.64/7.19 (~ (((((X2 @ ('#sk247' @ X2) @ ('#sk322' @ X2)) & (X2 @ 51.64/7.19 ('#sk181' @ X2) @ ('#sk247' @ X2)))) => 51.64/7.19 (X2 @ ('#sk181' @ X2) @ ('#sk322' @ X2)))) 51.64/7.19 | (X2 @ '#sk3' @ '#sk4') 51.64/7.19 | ~ ('#form11') 51.64/7.19 | ('#sk2' @ ('#sk47' @ X2) @ ('#sk77' @ X2)) 51.64/7.19 | ('#sk1' @ ('#sk47' @ X2) @ ('#sk77' @ X2)))), 51.64/7.19 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl129])). 51.64/7.19 thf(zip_derived_cl157, plain, 51.64/7.19 (![X2 : a > a > $o]: 51.64/7.19 ( (((X2 @ ('#sk247' @ X2) @ ('#sk322' @ X2)) & (X2 @ 51.64/7.19 ('#sk181' @ X2) @ ('#sk247' @ X2)))) 51.64/7.19 | ('#sk1' @ ('#sk47' @ X2) @ ('#sk77' @ X2)) 51.64/7.19 | ('#sk2' @ ('#sk47' @ X2) @ ('#sk77' @ X2)) 51.64/7.19 | ~ ('#form11') 51.64/7.19 | (X2 @ '#sk3' @ '#sk4'))), 51.64/7.19 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl142])). 51.64/7.19 thf(zip_derived_cl169, plain, 51.64/7.19 (![X2 : a > a > $o]: 51.64/7.19 ( (X2 @ ('#sk247' @ X2) @ ('#sk322' @ X2)) 51.64/7.19 | (X2 @ '#sk3' @ '#sk4') 51.64/7.19 | ~ ('#form11') 51.64/7.19 | ('#sk2' @ ('#sk47' @ X2) @ ('#sk77' @ X2)) 51.64/7.19 | ('#sk1' @ ('#sk47' @ X2) @ ('#sk77' @ X2)))), 51.64/7.19 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl157])). 51.64/7.19 thf(zip_derived_cl32, plain, 51.64/7.19 (![X2 : a, X4 : a]: (~ ('#sk2' @ X2 @ X4) | ('#sk5' @ X2 @ X4))), 51.64/7.19 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl24])). 51.64/7.19 thf(zip_derived_cl170, plain, 51.64/7.19 (![X2 : a > a > $o]: 51.64/7.19 ( (X2 @ ('#sk181' @ X2) @ ('#sk247' @ X2)) 51.64/7.19 | (X2 @ '#sk3' @ '#sk4') 51.64/7.19 | ~ ('#form11') 51.64/7.19 | ('#sk2' @ ('#sk47' @ X2) @ ('#sk77' @ X2)) 51.64/7.19 | ('#sk1' @ ('#sk47' @ X2) @ ('#sk77' @ X2)))), 51.64/7.19 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl157])). 51.64/7.19 thf(zip_derived_cl235, plain, 51.64/7.19 (( ('#sk5' @ ('#sk181' @ '#sk5') @ ('#sk247' @ '#sk5')) 51.64/7.19 | ~ ('#form11') 51.64/7.19 | ~ ('#sk5' @ ('#sk47' @ '#sk5') @ ('#sk77' @ '#sk5')))), 51.64/7.19 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl230])). 51.64/7.19 thf(zip_derived_cl22, plain, 51.64/7.19 ((~ (((!!) @ (^[Y0 : a > a > $o]: 51.64/7.19 (((((((!!) @ (^[Y1 : a]: 51.64/7.19 (((!!) @ (^[Y2 : a]: 51.64/7.19 (((!!) @ (^[Y3 : a]: 51.64/7.19 (((((Y0 @ Y2 @ 51.64/7.19 Y3) & (Y0 @ 51.64/7.19 Y1 @ Y2))) => 51.64/7.19 (Y0 @ Y1 @ Y3)))))))))))) & 51.64/7.19 (((!!) @ (^[Y1 : a]: 51.64/7.19 (((!!) @ (^[Y2 : a]: 51.64/7.19 ((((('#sk1' @ Y1 @ Y2) | 51.64/7.19 ('#sk2' @ Y1 @ Y2))) => 51.64/7.19 (Y0 @ Y1 @ Y2))))))))))) => 51.64/7.19 (Y0 @ '#sk6' @ '#sk8')))))) 51.64/7.19 | ~ (((!!) @ (^[Y0 : a]: 51.64/7.19 (((!!) @ (^[Y1 : a]: 51.64/7.19 (((((((!!) @ (^[Y2 : a > a > $o]: 51.64/7.19 (((((((!!) @ (^[Y3 : a]: 51.64/7.19 (((!!) @ ( 51.64/7.19 ^[Y4 : a]: 51.64/7.19 (( 51.64/7.19 ('#sk1' @ 51.64/7.19 Y3 @ 51.64/7.19 Y4) => 51.64/7.19 (Y2 @ 51.64/7.19 Y3 @ Y4))))))))) & 51.64/7.19 (((!!) @ (^[Y3 : a]: 51.64/7.19 (((!!) @ ( 51.64/7.19 ^[Y4 : a]: 51.64/7.19 (( 51.64/7.19 (!!) @ ( 51.64/7.19 ^[Y5 : a]: 51.64/7.19 (( 51.64/7.19 (( 51.64/7.19 (Y2 @ 51.64/7.19 Y3 @ 51.64/7.19 Y4) & 51.64/7.19 (Y2 @ 51.64/7.19 Y4 @ Y5))) => 51.64/7.19 (Y2 @ 51.64/7.19 Y3 @ Y5)))))))))))))) => 51.64/7.19 (Y2 @ Y0 @ Y1)))))) | 51.64/7.19 (((!!) @ (^[Y2 : a > a > $o]: 51.64/7.19 (((((((!!) @ (^[Y3 : a]: 51.64/7.19 (((!!) @ ( 51.64/7.19 ^[Y4 : a]: 51.64/7.19 (( 51.64/7.19 ('#sk2' @ 51.64/7.19 Y3 @ 51.64/7.19 Y4) => 51.64/7.19 (Y2 @ 51.64/7.19 Y3 @ Y4))))))))) & 51.64/7.19 (((!!) @ (^[Y3 : a]: 51.64/7.19 (((!!) @ ( 51.64/7.19 ^[Y4 : a]: 51.64/7.19 (( 51.64/7.19 (!!) @ ( 51.64/7.19 ^[Y5 : a]: 51.64/7.19 (( 51.64/7.19 (( 51.64/7.19 (Y2 @ 51.64/7.19 Y4 @ 51.64/7.19 Y5) & 51.64/7.19 (Y2 @ 51.64/7.19 Y3 @ Y4))) => 51.64/7.19 (Y2 @ 51.64/7.19 Y3 @ Y5)))))))))))))) => 51.64/7.19 (Y2 @ Y0 @ Y1)))))))) => 51.64/7.19 (((!!) @ (^[Y2 : a > a > $o]: 51.64/7.19 (((((((!!) @ (^[Y3 : a]: 51.64/7.19 (((!!) @ ( 51.64/7.19 ^[Y4 : a]: 51.64/7.19 ( 51.64/7.19 ( 51.64/7.19 (( 51.64/7.19 ('#sk1' @ 51.64/7.19 Y3 @ 51.64/7.19 Y4) | 51.64/7.19 ('#sk2' @ 51.64/7.19 Y3 @ Y4))) => 51.64/7.19 (Y2 @ 51.64/7.19 Y3 @ Y4))))))))) & 51.64/7.19 (((!!) @ (^[Y3 : a]: 51.64/7.19 (((!!) @ ( 51.64/7.19 ^[Y4 : a]: 51.64/7.19 ( 51.64/7.19 ( 51.64/7.19 (!!) @ ( 51.64/7.19 ^[Y5 : a]: 51.64/7.19 (( 51.64/7.19 (( 51.64/7.19 (Y2 @ 51.64/7.19 Y3 @ 51.64/7.19 Y4) & 51.64/7.19 (Y2 @ 51.64/7.19 Y4 @ Y5))) => 51.64/7.19 (Y2 @ 51.64/7.19 Y3 @ Y5)))))))))))))) => 51.64/7.19 (Y2 @ Y0 @ Y1)))))))))))))) 51.64/7.19 | (((!!) @ (^[Y0 : a > a > $o]: 51.64/7.19 (((((((!!) @ (^[Y1 : a]: 51.64/7.19 (((!!) @ (^[Y2 : a]: 51.64/7.19 ((((('#sk1' @ Y1 @ Y2) | 51.64/7.19 ('#sk2' @ Y1 @ Y2))) => 51.64/7.19 (Y0 @ Y1 @ Y2))))))))) & 51.64/7.19 (((!!) @ (^[Y1 : a]: 51.64/7.19 (((!!) @ (^[Y2 : a]: 51.64/7.19 (((!!) @ (^[Y3 : a]: 51.64/7.19 (((((Y0 @ Y2 @ 51.64/7.19 Y3) & (Y0 @ 51.64/7.19 Y1 @ Y2))) => 51.64/7.19 (Y0 @ Y1 @ Y3)))))))))))))) => 51.64/7.19 (Y0 @ '#sk3' @ '#sk4')))))))), 51.64/7.19 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl18])). 51.64/7.19 thf(zip_derived_cl22, plain, 51.64/7.19 ((~ (((!!) @ (^[Y0 : a > a > $o]: 51.64/7.19 (((((((!!) @ (^[Y1 : a]: 51.64/7.19 (((!!) @ (^[Y2 : a]: 51.64/7.19 (((!!) @ (^[Y3 : a]: 51.64/7.19 (((((Y0 @ Y2 @ 51.64/7.19 Y3) & (Y0 @ 51.64/7.19 Y1 @ Y2))) => 51.64/7.19 (Y0 @ Y1 @ Y3)))))))))))) & 51.64/7.19 (((!!) @ (^[Y1 : a]: 51.64/7.19 (((!!) @ (^[Y2 : a]: 51.64/7.19 ((((('#sk1' @ Y1 @ Y2) | 51.64/7.19 ('#sk2' @ Y1 @ Y2))) => 51.64/7.19 (Y0 @ Y1 @ Y2))))))))))) => 51.64/7.19 (Y0 @ '#sk6' @ '#sk8')))))) 51.64/7.19 | ~ (((!!) @ (^[Y0 : a]: 51.64/7.19 (((!!) @ (^[Y1 : a]: 51.64/7.19 (((((((!!) @ (^[Y2 : a > a > $o]: 51.64/7.19 (((((((!!) @ (^[Y3 : a]: 51.64/7.19 (((!!) @ ( 51.64/7.19 ^[Y4 : a]: 51.64/7.19 (( 51.64/7.19 ('#sk1' @ 51.64/7.19 Y3 @ 51.64/7.19 Y4) => 51.64/7.19 (Y2 @ 51.64/7.19 Y3 @ Y4))))))))) & 51.64/7.19 (((!!) @ (^[Y3 : a]: 51.64/7.19 (((!!) @ ( 51.64/7.19 ^[Y4 : a]: 51.64/7.19 (( 51.64/7.19 (!!) @ ( 51.64/7.19 ^[Y5 : a]: 51.64/7.19 (( 51.64/7.19 (( 51.64/7.19 (Y2 @ 51.64/7.19 Y3 @ 51.64/7.19 Y4) & 51.64/7.19 (Y2 @ 51.64/7.19 Y4 @ Y5))) => 51.64/7.19 (Y2 @ 51.64/7.19 Y3 @ Y5)))))))))))))) => 51.64/7.19 (Y2 @ Y0 @ Y1)))))) | 51.64/7.19 (((!!) @ (^[Y2 : a > a > $o]: 51.64/7.19 (((((((!!) @ (^[Y3 : a]: 51.64/7.19 (((!!) @ ( 51.64/7.19 ^[Y4 : a]: 51.64/7.19 (( 51.64/7.19 ('#sk2' @ 51.64/7.19 Y3 @ 51.64/7.19 Y4) => 51.64/7.19 (Y2 @ 51.64/7.19 Y3 @ Y4))))))))) & 51.64/7.19 (((!!) @ (^[Y3 : a]: 51.64/7.19 (((!!) @ ( 51.64/7.19 ^[Y4 : a]: 51.64/7.19 (( 51.64/7.19 (!!) @ ( 51.64/7.19 ^[Y5 : a]: 51.64/7.19 (( 51.64/7.19 (( 51.64/7.19 (Y2 @ 51.64/7.19 Y4 @ 51.64/7.19 Y5) & 51.64/7.19 (Y2 @ 51.64/7.19 Y3 @ Y4))) => 51.64/7.19 (Y2 @ 51.64/7.19 Y3 @ Y5)))))))))))))) => 51.64/7.19 (Y2 @ Y0 @ Y1)))))))) => 51.64/7.19 (((!!) @ (^[Y2 : a > a > $o]: 51.64/7.19 (((((((!!) @ (^[Y3 : a]: 51.64/7.19 (((!!) @ ( 51.64/7.19 ^[Y4 : a]: 51.64/7.19 ( 51.64/7.19 ( 51.64/7.19 (( 51.64/7.19 ('#sk1' @ 51.64/7.19 Y3 @ 51.64/7.19 Y4) | 51.64/7.19 ('#sk2' @ 51.64/7.19 Y3 @ Y4))) => 51.64/7.19 (Y2 @ 51.64/7.19 Y3 @ Y4))))))))) & 51.64/7.19 (((!!) @ (^[Y3 : a]: 51.64/7.19 (((!!) @ ( 51.64/7.19 ^[Y4 : a]: 51.64/7.19 ( 51.64/7.19 ( 51.64/7.19 (!!) @ ( 51.64/7.19 ^[Y5 : a]: 51.64/7.19 (( 51.64/7.19 (( 51.64/7.19 (Y2 @ 51.64/7.19 Y3 @ 51.64/7.19 Y4) & 51.64/7.19 (Y2 @ 51.64/7.19 Y4 @ Y5))) => 51.64/7.19 (Y2 @ 51.64/7.19 Y3 @ Y5)))))))))))))) => 51.64/7.19 (Y2 @ Y0 @ Y1)))))))))))))) 51.64/7.19 | (((!!) @ (^[Y0 : a > a > $o]: 51.64/7.19 (((((((!!) @ (^[Y1 : a]: 51.64/7.19 (((!!) @ (^[Y2 : a]: 51.64/7.19 ((((('#sk1' @ Y1 @ Y2) | 51.64/7.19 ('#sk2' @ Y1 @ Y2))) => 51.64/7.19 (Y0 @ Y1 @ Y2))))))))) & 51.64/7.19 (((!!) @ (^[Y1 : a]: 51.64/7.19 (((!!) @ (^[Y2 : a]: 51.64/7.19 (((!!) @ (^[Y3 : a]: 51.64/7.19 (((((Y0 @ Y2 @ 51.64/7.19 Y3) & (Y0 @ 51.64/7.19 Y1 @ Y2))) => 51.64/7.19 (Y0 @ Y1 @ Y3)))))))))))))) => 51.64/7.19 (Y0 @ '#sk3' @ '#sk4')))))))), 51.64/7.19 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl18])). 51.64/7.19 thf(zip_derived_cl27, plain, 51.64/7.19 (( ('#form9') 51.64/7.19 | ~ (((!!) @ (^[Y0 : a]: 51.64/7.19 (((!!) @ (^[Y1 : a]: 51.64/7.19 (((((((!!) @ (^[Y2 : a > a > $o]: 51.64/7.19 (((((((!!) @ (^[Y3 : a]: 51.64/7.19 (((!!) @ ( 51.64/7.19 ^[Y4 : a]: 51.64/7.19 (( 51.64/7.19 ('#sk1' @ 51.64/7.19 Y3 @ 51.64/7.19 Y4) => 51.64/7.19 (Y2 @ 51.64/7.19 Y3 @ Y4))))))))) & 51.64/7.19 (((!!) @ (^[Y3 : a]: 51.64/7.19 (((!!) @ ( 51.64/7.19 ^[Y4 : a]: 51.64/7.19 (( 51.64/7.19 (!!) @ ( 51.64/7.19 ^[Y5 : a]: 51.64/7.19 (( 51.64/7.19 (( 51.64/7.19 (Y2 @ 51.64/7.19 Y3 @ 51.64/7.19 Y4) & 51.64/7.19 (Y2 @ 51.64/7.19 Y4 @ Y5))) => 51.64/7.19 (Y2 @ 51.64/7.19 Y3 @ Y5)))))))))))))) => 51.64/7.19 (Y2 @ Y0 @ Y1)))))) | 51.64/7.19 (((!!) @ (^[Y2 : a > a > $o]: 51.64/7.19 (((((((!!) @ (^[Y3 : a]: 51.64/7.19 (((!!) @ ( 51.64/7.19 ^[Y4 : a]: 51.64/7.19 (( 51.64/7.19 ('#sk2' @ 51.64/7.19 Y3 @ 51.64/7.19 Y4) => 51.64/7.19 (Y2 @ 51.64/7.19 Y3 @ Y4))))))))) & 51.64/7.19 (((!!) @ (^[Y3 : a]: 51.64/7.19 (((!!) @ ( 51.64/7.19 ^[Y4 : a]: 51.64/7.19 (( 51.64/7.19 (!!) @ ( 51.64/7.19 ^[Y5 : a]: 51.64/7.19 (( 51.64/7.19 (( 51.64/7.19 (Y2 @ 51.64/7.19 Y4 @ 51.64/7.19 Y5) & 51.64/7.19 (Y2 @ 51.64/7.19 Y3 @ Y4))) => 51.64/7.19 (Y2 @ 51.64/7.19 Y3 @ Y5)))))))))))))) => 51.64/7.19 (Y2 @ Y0 @ Y1)))))))) => 51.64/7.19 (((!!) @ (^[Y2 : a > a > $o]: 51.64/7.19 (((((((!!) @ (^[Y3 : a]: 51.64/7.19 (((!!) @ ( 51.64/7.19 ^[Y4 : a]: 51.64/7.19 ( 51.64/7.19 ( 51.64/7.19 (( 51.64/7.19 ('#sk1' @ 51.64/7.19 Y3 @ 51.64/7.19 Y4) | 51.64/7.19 ('#sk2' @ 51.64/7.19 Y3 @ Y4))) => 51.64/7.19 (Y2 @ 51.64/7.19 Y3 @ Y4))))))))) & 51.64/7.19 (((!!) @ (^[Y3 : a]: 51.64/7.19 (((!!) @ ( 51.64/7.19 ^[Y4 : a]: 51.64/7.19 ( 51.64/7.19 ( 51.64/7.19 (!!) @ ( 51.64/7.19 ^[Y5 : a]: 51.64/7.19 (( 51.64/7.19 (( 51.64/7.19 (Y2 @ 51.64/7.19 Y3 @ 51.64/7.19 Y4) & 51.64/7.19 (Y2 @ 51.64/7.19 Y4 @ Y5))) => 51.64/7.19 (Y2 @ 51.64/7.19 Y3 @ Y5)))))))))))))) => 51.64/7.19 (Y2 @ Y0 @ Y1)))))))))))))))), 51.64/7.19 define([status(thm)])). 51.64/7.19 thf(zip_derived_cl29, plain, 51.64/7.19 ((~ ('#form9') 51.64/7.19 | (((!!) @ (^[Y0 : a > a > $o]: 51.64/7.19 (((((((!!) @ (^[Y1 : a]: 51.64/7.19 (((!!) @ (^[Y2 : a]: 51.64/7.19 ((((('#sk1' @ Y1 @ Y2) | 51.64/7.19 ('#sk2' @ Y1 @ Y2))) => 51.64/7.19 (Y0 @ Y1 @ Y2))))))))) & 51.64/7.19 (((!!) @ (^[Y1 : a]: 51.64/7.19 (((!!) @ (^[Y2 : a]: 51.64/7.19 (((!!) @ (^[Y3 : a]: 51.64/7.19 (((((Y0 @ Y2 @ 51.64/7.19 Y3) & (Y0 @ 51.64/7.19 Y1 @ Y2))) => 51.64/7.19 (Y0 @ Y1 @ Y3)))))))))))))) => 51.64/7.19 (Y0 @ '#sk3' @ '#sk4')))))) 51.64/7.19 | ~ (((!!) @ (^[Y0 : a > a > $o]: 51.64/7.19 (((((((!!) @ (^[Y1 : a]: 51.64/7.19 (((!!) @ (^[Y2 : a]: 51.64/7.19 (((!!) @ (^[Y3 : a]: 51.64/7.19 (((((Y0 @ Y2 @ 51.64/7.19 Y3) & 51.64/7.19 (Y0 @ Y1 @ 51.64/7.19 Y2))) => 51.64/7.19 (Y0 @ Y1 @ 51.64/7.19 Y3)))))))))))) & 51.64/7.19 (((!!) @ (^[Y1 : a]: 51.64/7.19 (((!!) @ (^[Y2 : a]: 51.64/7.19 ((((('#sk1' @ Y1 @ Y2) | 51.64/7.19 ('#sk2' @ Y1 @ Y2))) => 51.64/7.19 (Y0 @ Y1 @ Y2))))))))))) => 51.64/7.19 (Y0 @ '#sk6' @ '#sk8')))))))), 51.64/7.19 inference('renaming', [status(thm)], [zip_derived_cl22, zip_derived_cl27])). 51.64/7.19 thf(zip_derived_cl33, plain, 51.64/7.19 ((~ ('#form11') 51.64/7.19 | (((!!) @ (^[Y0 : a > a > $o]: 51.64/7.19 (((((((!!) @ (^[Y1 : a]: 51.64/7.19 (((!!) @ (^[Y2 : a]: 51.64/7.19 ((((('#sk1' @ Y1 @ Y2) | 51.64/7.19 ('#sk2' @ Y1 @ Y2))) => 51.64/7.19 (Y0 @ Y1 @ Y2))))))))) & 51.64/7.19 (((!!) @ (^[Y1 : a]: 51.64/7.19 (((!!) @ (^[Y2 : a]: 51.64/7.19 (((!!) @ (^[Y3 : a]: 51.64/7.19 (((((Y0 @ Y2 @ 51.64/7.19 Y3) & (Y0 @ 51.64/7.19 Y1 @ Y2))) => 51.64/7.19 (Y0 @ Y1 @ Y3)))))))))))))) => 51.64/7.19 (Y0 @ '#sk3' @ '#sk4')))))))), 51.64/7.19 define([status(thm)])). 51.64/7.19 thf(zip_derived_cl40, plain, 51.64/7.19 (( ('#form11') 51.64/7.19 | ~ (((!!) @ (^[Y0 : a > a > $o]: 51.64/7.19 (((((((!!) @ (^[Y1 : a]: 51.64/7.19 (((!!) @ (^[Y2 : a]: 51.64/7.19 (((!!) @ (^[Y3 : a]: 51.64/7.19 (((((Y0 @ Y2 @ 51.64/7.19 Y3) & 51.64/7.19 (Y0 @ Y1 @ 51.64/7.19 Y2))) => 51.64/7.19 (Y0 @ Y1 @ 51.64/7.19 Y3)))))))))))) & 51.64/7.19 (((!!) @ (^[Y1 : a]: 51.64/7.19 (((!!) @ (^[Y2 : a]: 51.64/7.19 ((((('#sk1' @ Y1 @ Y2) | 51.64/7.19 ('#sk2' @ Y1 @ Y2))) => 51.64/7.19 (Y0 @ Y1 @ Y2))))))))))) => 51.64/7.19 (Y0 @ '#sk6' @ '#sk8')))))) 51.64/7.19 | ~ ('#form9'))), 51.64/7.19 inference('renaming', [status(thm)], [zip_derived_cl29, zip_derived_cl33])). 51.64/7.19 thf(zip_derived_cl47, plain, 51.64/7.19 ((~ (((((((!!) @ (^[Y0 : a]: 51.64/7.19 (((!!) @ (^[Y1 : a]: 51.64/7.19 (((!!) @ (^[Y2 : a]: 51.64/7.19 ((((('#sk21' @ Y1 @ Y2) & 51.64/7.19 ('#sk21' @ Y0 @ Y1))) => 51.64/7.19 ('#sk21' @ Y0 @ Y2)))))))))))) & 51.64/7.19 (((!!) @ (^[Y0 : a]: 51.64/7.19 (((!!) @ (^[Y1 : a]: 51.64/7.19 ((((('#sk1' @ Y0 @ Y1) | ('#sk2' @ Y0 @ 51.64/7.19 Y1))) => 51.64/7.19 ('#sk21' @ Y0 @ Y1))))))))))) => 51.64/7.19 ('#sk21' @ '#sk6' @ '#sk8'))) 51.64/7.19 | ~ ('#form9') 51.64/7.19 | ('#form11'))), 51.64/7.19 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl40])). 51.64/7.19 thf(zip_derived_cl62, plain, 51.64/7.19 ((~ ('#sk21' @ '#sk6' @ '#sk8') | ('#form11') | ~ ('#form9'))), 51.64/7.19 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl47])). 51.64/7.19 thf(zip_derived_cl13, plain, 51.64/7.19 ( (((!!) @ (^[Y0 : a]: 51.64/7.19 (((!!) @ (^[Y1 : a]: 51.64/7.19 (((!!) @ (^[Y2 : a]: 51.64/7.19 ((((('#sk5' @ Y1 @ Y2) & ('#sk5' @ 51.64/7.19 Y0 @ Y1))) => 51.64/7.19 ('#sk5' @ Y0 @ Y2))))))))))))), 51.64/7.19 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl10])). 51.64/7.19 thf(zip_derived_cl16, plain, 51.64/7.19 (![X2 : a]: 51.64/7.19 (((!!) @ (^[Y0 : a]: 51.64/7.19 (((!!) @ (^[Y1 : a]: 51.64/7.19 ((((('#sk5' @ Y0 @ Y1) & ('#sk5' @ X2 @ Y0))) => 51.64/7.19 ('#sk5' @ X2 @ Y1)))))))))), 51.64/7.19 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl13])). 51.64/7.19 thf(zip_derived_cl19, plain, 51.64/7.19 (![X2 : a, X4 : a]: 51.64/7.19 (((!!) @ (^[Y0 : a]: 51.64/7.19 ((((('#sk5' @ X4 @ Y0) & ('#sk5' @ X2 @ X4))) => 51.64/7.19 ('#sk5' @ X2 @ Y0))))))), 51.64/7.19 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl16])). 51.64/7.19 thf(zip_derived_cl23, plain, 51.64/7.19 (![X2 : a, X4 : a, X6 : a]: 51.64/7.19 ((((('#sk5' @ X4 @ X6) & ('#sk5' @ X2 @ X4))) => ('#sk5' @ X2 @ X6)))), 51.64/7.19 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl19])). 51.64/7.19 thf(zip_derived_cl30, plain, 51.64/7.19 (![X2 : a, X4 : a, X6 : a]: 51.64/7.19 (~ ((('#sk5' @ X4 @ X6) & ('#sk5' @ X2 @ X4))) | ('#sk5' @ X2 @ X6))), 51.64/7.19 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl23])). 51.64/7.19 thf(zip_derived_cl42, plain, 51.64/7.19 (![X2 : a, X4 : a, X6 : a]: 51.64/7.19 (~ ('#sk5' @ X4 @ X6) | ~ ('#sk5' @ X2 @ X4) | ('#sk5' @ X2 @ X6))), 51.64/7.19 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl30])). 51.64/7.19 thf(zip_derived_cl26, plain, 51.64/7.19 (( (((!!) @ (^[Y0 : a > a > $o]: 51.64/7.19 (((((((!!) @ (^[Y1 : a]: 51.64/7.19 (((!!) @ (^[Y2 : a]: 51.64/7.19 (((!!) @ (^[Y3 : a]: 51.64/7.19 (((((Y0 @ Y1 @ 51.64/7.19 Y2) & (Y0 @ 51.64/7.19 Y2 @ Y3))) => 51.64/7.19 (Y0 @ Y1 @ Y3)))))))))))) & 51.64/7.19 (((!!) @ (^[Y1 : a]: 51.64/7.19 (((!!) @ (^[Y2 : a]: 51.64/7.19 ((((('#sk2' @ Y1 @ Y2) | 51.64/7.19 ('#sk1' @ Y1 @ Y2))) => 51.64/7.19 (Y0 @ Y1 @ Y2))))))))))) => 51.64/7.19 (Y0 @ '#sk7' @ '#sk8')))))) 51.64/7.19 | (((!!) @ (^[Y0 : a > a > $o]: 51.64/7.19 (((((((!!) @ (^[Y1 : a]: 51.64/7.19 (((!!) @ (^[Y2 : a]: 51.64/7.19 ((((('#sk1' @ Y1 @ Y2) | 51.64/7.19 ('#sk2' @ Y1 @ Y2))) => 51.64/7.19 (Y0 @ Y1 @ Y2))))))))) & 51.64/7.19 (((!!) @ (^[Y1 : a]: 51.64/7.19 (((!!) @ (^[Y2 : a]: 51.64/7.19 (((!!) @ (^[Y3 : a]: 51.64/7.19 (((((Y0 @ Y2 @ 51.64/7.19 Y3) & (Y0 @ 51.64/7.19 Y1 @ Y2))) => 51.64/7.19 (Y0 @ Y1 @ Y3)))))))))))))) => 51.64/7.19 (Y0 @ '#sk3' @ '#sk4')))))) 51.64/7.19 | ~ (((!!) @ (^[Y0 : a]: 51.64/7.19 (((!!) @ (^[Y1 : a]: 51.64/7.19 (((((((!!) @ (^[Y2 : a > a > $o]: 51.64/7.19 (((((((!!) @ (^[Y3 : a]: 51.64/7.19 (((!!) @ ( 51.64/7.19 ^[Y4 : a]: 51.64/7.19 (( 51.64/7.19 ('#sk1' @ 51.64/7.19 Y3 @ 51.64/7.19 Y4) => 51.64/7.19 (Y2 @ 51.64/7.19 Y3 @ Y4))))))))) & 51.64/7.19 (((!!) @ (^[Y3 : a]: 51.64/7.19 (((!!) @ ( 51.64/7.19 ^[Y4 : a]: 51.64/7.19 (( 51.64/7.19 (!!) @ ( 51.64/7.19 ^[Y5 : a]: 51.64/7.19 (( 51.64/7.19 (( 51.64/7.19 (Y2 @ 51.64/7.19 Y3 @ 51.64/7.19 Y4) & 51.64/7.19 (Y2 @ 51.64/7.19 Y4 @ Y5))) => 51.64/7.19 (Y2 @ 51.64/7.19 Y3 @ Y5)))))))))))))) => 51.64/7.19 (Y2 @ Y0 @ Y1)))))) | 51.64/7.19 (((!!) @ (^[Y2 : a > a > $o]: 51.64/7.19 (((((((!!) @ (^[Y3 : a]: 51.64/7.19 (((!!) @ ( 51.64/7.19 ^[Y4 : a]: 51.64/7.19 (( 51.64/7.19 ('#sk2' @ 51.64/7.19 Y3 @ 51.64/7.19 Y4) => 51.64/7.19 (Y2 @ 51.64/7.19 Y3 @ Y4))))))))) & 51.64/7.19 (((!!) @ (^[Y3 : a]: 51.64/7.19 (((!!) @ ( 51.64/7.19 ^[Y4 : a]: 51.64/7.19 (( 51.64/7.19 (!!) @ ( 51.64/7.19 ^[Y5 : a]: 51.64/7.19 (( 51.64/7.19 (( 51.64/7.19 (Y2 @ 51.64/7.19 Y4 @ 51.64/7.19 Y5) & 51.64/7.19 (Y2 @ 51.64/7.19 Y3 @ Y4))) => 51.64/7.19 (Y2 @ 51.64/7.19 Y3 @ Y5)))))))))))))) => 51.64/7.19 (Y2 @ Y0 @ Y1)))))))) => 51.64/7.19 (((!!) @ (^[Y2 : a > a > $o]: 51.64/7.19 (((((((!!) @ (^[Y3 : a]: 51.64/7.19 (((!!) @ ( 51.64/7.19 ^[Y4 : a]: 51.64/7.19 ( 51.64/7.19 ( 51.64/7.19 (( 51.64/7.19 ('#sk1' @ 51.64/7.19 Y3 @ 51.64/7.19 Y4) | 51.64/7.19 ('#sk2' @ 51.64/7.19 Y3 @ Y4))) => 51.64/7.19 (Y2 @ 51.64/7.19 Y3 @ Y4))))))))) & 51.64/7.19 (((!!) @ (^[Y3 : a]: 51.64/7.19 (((!!) @ ( 51.64/7.19 ^[Y4 : a]: 51.64/7.19 ( 51.64/7.19 ( 51.64/7.19 (!!) @ ( 51.64/7.19 ^[Y5 : a]: 51.64/7.19 (( 51.64/7.19 (( 51.64/7.19 (Y2 @ 51.64/7.19 Y3 @ 51.64/7.19 Y4) & 51.64/7.19 (Y2 @ 51.64/7.19 Y4 @ Y5))) => 51.64/7.19 (Y2 @ 51.64/7.19 Y3 @ Y5)))))))))))))) => 51.64/7.19 (Y2 @ Y0 @ Y1)))))))))))))))), 51.64/7.19 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl21])). 51.64/7.19 thf(zip_derived_cl33, plain, 51.64/7.19 ((~ ('#form11') 51.64/7.19 | (((!!) @ (^[Y0 : a > a > $o]: 51.64/7.19 (((((((!!) @ (^[Y1 : a]: 51.64/7.19 (((!!) @ (^[Y2 : a]: 51.64/7.19 ((((('#sk1' @ Y1 @ Y2) | 51.64/7.19 ('#sk2' @ Y1 @ Y2))) => 51.64/7.19 (Y0 @ Y1 @ Y2))))))))) & 51.64/7.19 (((!!) @ (^[Y1 : a]: 51.64/7.19 (((!!) @ (^[Y2 : a]: 51.64/7.19 (((!!) @ (^[Y3 : a]: 51.64/7.19 (((((Y0 @ Y2 @ 51.64/7.19 Y3) & (Y0 @ 51.64/7.19 Y1 @ Y2))) => 51.64/7.19 (Y0 @ Y1 @ Y3)))))))))))))) => 51.64/7.19 (Y0 @ '#sk3' @ '#sk4')))))))), 51.64/7.19 define([status(thm)])). 51.64/7.19 thf(zip_derived_cl39, plain, 51.64/7.19 (( ('#form11') 51.64/7.19 | ~ (((!!) @ (^[Y0 : a]: 51.64/7.19 (((!!) @ (^[Y1 : a]: 51.64/7.19 (((((((!!) @ (^[Y2 : a > a > $o]: 51.64/7.19 (((((((!!) @ (^[Y3 : a]: 51.64/7.19 (((!!) @ ( 51.64/7.19 ^[Y4 : a]: 51.64/7.19 (( 51.64/7.19 ('#sk1' @ 51.64/7.19 Y3 @ 51.64/7.19 Y4) => 51.64/7.19 (Y2 @ 51.64/7.19 Y3 @ Y4))))))))) & 51.64/7.19 (((!!) @ (^[Y3 : a]: 51.64/7.19 (((!!) @ ( 51.64/7.19 ^[Y4 : a]: 51.64/7.19 (( 51.64/7.19 (!!) @ ( 51.64/7.19 ^[Y5 : a]: 51.64/7.19 (( 51.64/7.19 (( 51.64/7.19 (Y2 @ 51.64/7.19 Y3 @ 51.64/7.19 Y4) & 51.64/7.19 (Y2 @ 51.64/7.19 Y4 @ Y5))) => 51.64/7.19 (Y2 @ 51.64/7.19 Y3 @ Y5)))))))))))))) => 51.64/7.19 (Y2 @ Y0 @ Y1)))))) | 51.64/7.19 (((!!) @ (^[Y2 : a > a > $o]: 51.64/7.19 (((((((!!) @ (^[Y3 : a]: 51.64/7.19 (((!!) @ ( 51.64/7.19 ^[Y4 : a]: 51.64/7.19 (( 51.64/7.19 ('#sk2' @ 51.64/7.19 Y3 @ 51.64/7.19 Y4) => 51.64/7.19 (Y2 @ 51.64/7.19 Y3 @ Y4))))))))) & 51.64/7.19 (((!!) @ (^[Y3 : a]: 51.64/7.19 (((!!) @ ( 51.64/7.19 ^[Y4 : a]: 51.64/7.19 (( 51.64/7.19 (!!) @ ( 51.64/7.19 ^[Y5 : a]: 51.64/7.19 (( 51.64/7.19 (( 51.64/7.19 (Y2 @ 51.64/7.19 Y4 @ 51.64/7.19 Y5) & 51.64/7.19 (Y2 @ 51.64/7.19 Y3 @ Y4))) => 51.64/7.19 (Y2 @ 51.64/7.19 Y3 @ Y5)))))))))))))) => 51.64/7.19 (Y2 @ Y0 @ Y1)))))))) => 51.64/7.19 (((!!) @ (^[Y2 : a > a > $o]: 51.64/7.19 (((((((!!) @ (^[Y3 : a]: 51.64/7.19 (((!!) @ ( 51.64/7.19 ^[Y4 : a]: 51.64/7.19 ( 51.64/7.19 ( 51.64/7.19 (( 51.64/7.19 ('#sk1' @ 51.64/7.19 Y3 @ 51.64/7.19 Y4) | 51.64/7.19 ('#sk2' @ 51.64/7.19 Y3 @ Y4))) => 51.64/7.19 (Y2 @ 51.64/7.19 Y3 @ Y4))))))))) & 51.64/7.19 (((!!) @ (^[Y3 : a]: 51.64/7.19 (((!!) @ ( 51.64/7.19 ^[Y4 : a]: 51.64/7.19 ( 51.64/7.19 ( 51.64/7.19 (!!) @ ( 51.64/7.19 ^[Y5 : a]: 51.64/7.19 (( 51.64/7.19 (( 51.64/7.19 (Y2 @ 51.64/7.19 Y3 @ 51.64/7.19 Y4) & 51.64/7.19 (Y2 @ 51.64/7.19 Y4 @ Y5))) => 51.64/7.19 (Y2 @ 51.64/7.19 Y3 @ Y5)))))))))))))) => 51.64/7.19 (Y2 @ Y0 @ Y1)))))))))))))) 51.64/7.19 | (((!!) @ (^[Y0 : a > a > $o]: 51.64/7.19 (((((((!!) @ (^[Y1 : a]: 51.64/7.19 (((!!) @ (^[Y2 : a]: 51.64/7.19 (((!!) @ (^[Y3 : a]: 51.64/7.19 (((((Y0 @ Y1 @ 51.64/7.19 Y2) & (Y0 @ 51.64/7.19 Y2 @ Y3))) => 51.64/7.19 (Y0 @ Y1 @ Y3)))))))))))) & 51.64/7.19 (((!!) @ (^[Y1 : a]: 51.64/7.19 (((!!) @ (^[Y2 : a]: 51.64/7.19 ((((('#sk2' @ Y1 @ Y2) | 51.64/7.19 ('#sk1' @ Y1 @ Y2))) => 51.64/7.19 (Y0 @ Y1 @ Y2))))))))))) => 51.64/7.19 (Y0 @ '#sk7' @ '#sk8')))))))), 51.64/7.19 inference('renaming', [status(thm)], [zip_derived_cl26, zip_derived_cl33])). 51.64/7.19 thf(zip_derived_cl27, plain, 51.64/7.19 (( ('#form9') 51.64/7.19 | ~ (((!!) @ (^[Y0 : a]: 51.64/7.19 (((!!) @ (^[Y1 : a]: 51.64/7.19 (((((((!!) @ (^[Y2 : a > a > $o]: 51.64/7.19 (((((((!!) @ (^[Y3 : a]: 51.64/7.19 (((!!) @ ( 51.64/7.19 ^[Y4 : a]: 51.64/7.19 (( 51.64/7.19 ('#sk1' @ 51.64/7.19 Y3 @ 51.64/7.19 Y4) => 51.64/7.19 (Y2 @ 51.64/7.19 Y3 @ Y4))))))))) & 51.64/7.19 (((!!) @ (^[Y3 : a]: 51.64/7.19 (((!!) @ ( 51.64/7.19 ^[Y4 : a]: 51.64/7.19 (( 51.64/7.19 (!!) @ ( 51.64/7.19 ^[Y5 : a]: 51.64/7.19 (( 51.64/7.19 (( 51.64/7.19 (Y2 @ 51.64/7.19 Y3 @ 51.64/7.19 Y4) & 51.64/7.19 (Y2 @ 51.64/7.19 Y4 @ Y5))) => 51.64/7.19 (Y2 @ 51.64/7.19 Y3 @ Y5)))))))))))))) => 51.64/7.19 (Y2 @ Y0 @ Y1)))))) | 51.64/7.19 (((!!) @ (^[Y2 : a > a > $o]: 51.64/7.19 (((((((!!) @ (^[Y3 : a]: 51.64/7.19 (((!!) @ ( 51.64/7.19 ^[Y4 : a]: 51.64/7.19 (( 51.64/7.19 ('#sk2' @ 51.64/7.19 Y3 @ 51.64/7.19 Y4) => 51.64/7.19 (Y2 @ 51.64/7.19 Y3 @ Y4))))))))) & 51.64/7.19 (((!!) @ (^[Y3 : a]: 51.64/7.19 (((!!) @ ( 51.64/7.19 ^[Y4 : a]: 51.64/7.19 (( 51.64/7.19 (!!) @ ( 51.64/7.19 ^[Y5 : a]: 51.64/7.19 (( 51.64/7.19 (( 51.64/7.19 (Y2 @ 51.64/7.19 Y4 @ 51.64/7.19 Y5) & 51.64/7.19 (Y2 @ 51.64/7.19 Y3 @ Y4))) => 51.64/7.19 (Y2 @ 51.64/7.19 Y3 @ Y5)))))))))))))) => 51.64/7.19 (Y2 @ Y0 @ Y1)))))))) => 51.64/7.19 (((!!) @ (^[Y2 : a > a > $o]: 51.64/7.19 (((((((!!) @ (^[Y3 : a]: 51.64/7.19 (((!!) @ ( 51.64/7.19 ^[Y4 : a]: 51.64/7.19 ( 51.64/7.19 ( 51.64/7.19 (( 51.64/7.19 ('#sk1' @ 51.64/7.19 Y3 @ 51.64/7.19 Y4) | 51.64/7.19 ('#sk2' @ 51.64/7.19 Y3 @ Y4))) => 51.64/7.19 (Y2 @ 51.64/7.19 Y3 @ Y4))))))))) & 51.64/7.19 (((!!) @ (^[Y3 : a]: 51.64/7.19 (((!!) @ ( 51.64/7.19 ^[Y4 : a]: 51.64/7.19 ( 51.64/7.19 ( 51.64/7.19 (!!) @ ( 51.64/7.19 ^[Y5 : a]: 51.64/7.19 (( 51.64/7.19 (( 51.64/7.19 (Y2 @ 51.64/7.19 Y3 @ 51.64/7.19 Y4) & 51.64/7.19 (Y2 @ 51.64/7.19 Y4 @ Y5))) => 51.64/7.19 (Y2 @ 51.64/7.19 Y3 @ Y5)))))))))))))) => 51.64/7.19 (Y2 @ Y0 @ Y1)))))))))))))))), 51.64/7.19 define([status(thm)])). 51.64/7.19 thf(zip_derived_cl45, plain, 51.64/7.19 ((~ ('#form9') 51.64/7.19 | (((!!) @ (^[Y0 : a > a > $o]: 51.64/7.19 (((((((!!) @ (^[Y1 : a]: 51.64/7.19 (((!!) @ (^[Y2 : a]: 51.64/7.19 (((!!) @ (^[Y3 : a]: 51.64/7.19 (((((Y0 @ Y1 @ 51.64/7.19 Y2) & (Y0 @ 51.64/7.19 Y2 @ Y3))) => 51.64/7.19 (Y0 @ Y1 @ Y3)))))))))))) & 51.64/7.19 (((!!) @ (^[Y1 : a]: 51.64/7.19 (((!!) @ (^[Y2 : a]: 51.64/7.19 ((((('#sk2' @ Y1 @ Y2) | 51.64/7.19 ('#sk1' @ Y1 @ Y2))) => 51.64/7.19 (Y0 @ Y1 @ Y2))))))))))) => 51.64/7.19 (Y0 @ '#sk7' @ '#sk8')))))) 51.64/7.19 | ('#form11'))), 51.64/7.19 inference('renaming', [status(thm)], [zip_derived_cl39, zip_derived_cl27])). 51.64/7.19 thf(zip_derived_cl56, plain, 51.64/7.19 (![X2 : a > a > $o]: 51.64/7.19 ( (((((((!!) @ (^[Y0 : a]: 51.64/7.19 (((!!) @ (^[Y1 : a]: 51.64/7.19 (((!!) @ (^[Y2 : a]: 51.64/7.19 (((((X2 @ Y0 @ Y1) & (X2 @ 51.64/7.19 Y1 @ Y2))) => 51.64/7.19 (X2 @ Y0 @ Y2)))))))))))) & 51.64/7.19 (((!!) @ (^[Y0 : a]: 51.64/7.19 (((!!) @ (^[Y1 : a]: 51.64/7.19 ((((('#sk2' @ Y0 @ Y1) | ('#sk1' @ Y0 @ 51.64/7.19 Y1))) => 51.64/7.19 (X2 @ Y0 @ Y1))))))))))) => 51.64/7.19 (X2 @ '#sk7' @ '#sk8'))) 51.64/7.19 | ('#form11') 51.64/7.19 | ~ ('#form9'))), 51.64/7.19 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl45])). 51.64/7.19 thf(zip_derived_cl57, plain, 51.64/7.19 (( (((((((!!) @ (^[Y0 : a]: 51.64/7.19 (((!!) @ (^[Y1 : a]: 51.64/7.19 (((!!) @ (^[Y2 : 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('#form11'))), 51.64/7.19 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl57])). 51.64/7.19 thf(zip_derived_cl405, plain, 51.64/7.19 ((~ (((!!) @ (^[Y0 : a]: 51.64/7.19 (((!!) @ (^[Y1 : a]: 51.64/7.19 (((!!) @ (^[Y2 : a]: 51.64/7.19 ((((('#sk21' @ Y0 @ Y1) & 51.64/7.19 ('#sk21' @ Y1 @ Y2))) => 51.64/7.19 ('#sk21' @ Y0 @ Y2)))))))))))) 51.64/7.19 | ~ (((!!) @ (^[Y0 : a]: 51.64/7.19 (((!!) @ (^[Y1 : a]: 51.64/7.19 ((((('#sk2' @ Y0 @ Y1) | ('#sk1' @ Y0 @ Y1))) => 51.64/7.19 ('#sk21' @ Y0 @ Y1))))))))) 51.64/7.19 | ('#form11') 51.64/7.19 | ~ ('#form9') 51.64/7.19 | ('#sk21' @ '#sk7' @ '#sk8'))), 51.64/7.19 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl404])). 51.64/7.19 thf(zip_derived_cl56, plain, 51.64/7.19 (![X2 : a > a > $o]: 51.64/7.19 ( (((((((!!) @ (^[Y0 : a]: 51.64/7.19 (((!!) @ (^[Y1 : a]: 51.64/7.19 (((!!) @ (^[Y2 : a]: 51.64/7.19 (((((X2 @ Y0 @ Y1) & (X2 @ 51.64/7.19 Y1 @ Y2))) => 51.64/7.19 (X2 @ Y0 @ Y2)))))))))))) & 51.64/7.19 (((!!) @ (^[Y0 : a]: 51.64/7.19 (((!!) @ (^[Y1 : a]: 51.64/7.19 ((((('#sk2' @ Y0 @ Y1) | ('#sk1' @ Y0 @ 51.64/7.19 Y1))) => 51.64/7.19 (X2 @ Y0 @ Y1))))))))))) => 51.64/7.19 (X2 @ '#sk7' @ '#sk8'))) 51.64/7.19 | ('#form11') 51.64/7.19 | ~ ('#form9'))), 51.64/7.19 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl45])). 51.64/7.19 thf(zip_derived_cl70, plain, 51.64/7.19 (![X2 : a > a > $o]: 51.64/7.19 (~ (((((!!) @ (^[Y0 : a]: 51.64/7.19 (((!!) @ (^[Y1 : a]: 51.64/7.19 (((!!) @ (^[Y2 : a]: 51.64/7.19 (((((X2 @ Y0 @ Y1) & (X2 @ 51.64/7.19 Y1 @ Y2))) => 51.64/7.19 (X2 @ Y0 @ Y2)))))))))))) & 51.64/7.19 (((!!) @ (^[Y0 : a]: 51.64/7.19 (((!!) @ (^[Y1 : a]: 51.64/7.19 ((((('#sk2' @ Y0 @ Y1) | ('#sk1' @ Y0 @ 51.64/7.19 Y1))) => 51.64/7.19 (X2 @ Y0 @ Y1))))))))))) 51.64/7.19 | (X2 @ '#sk7' @ '#sk8') 51.64/7.19 | ~ ('#form9') 51.64/7.19 | ('#form11'))), 51.64/7.19 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl56])). 51.64/7.19 thf(zip_derived_cl83, plain, 51.64/7.19 (![X2 : a > a > $o]: 51.64/7.19 (~ (((!!) @ (^[Y0 : a]: 51.64/7.19 (((!!) @ (^[Y1 : a]: 51.64/7.19 (((!!) @ (^[Y2 : a]: 51.64/7.19 (((((X2 @ Y0 @ Y1) & (X2 @ 51.64/7.19 Y1 @ Y2))) => 51.64/7.19 (X2 @ Y0 @ Y2)))))))))))) 51.64/7.19 | ~ (((!!) @ (^[Y0 : a]: 51.64/7.19 (((!!) @ (^[Y1 : a]: 51.64/7.19 ((((('#sk2' @ Y0 @ Y1) | ('#sk1' @ Y0 @ 51.64/7.19 Y1))) => 51.64/7.19 (X2 @ Y0 @ Y1))))))))) 51.64/7.19 | ('#form11') 51.64/7.19 | ~ ('#form9') 51.64/7.19 | (X2 @ '#sk7' @ '#sk8'))), 51.64/7.19 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl70])). 51.64/7.19 thf(zip_derived_cl99, plain, 51.64/7.19 (![X2 : a > a > $o]: 51.64/7.19 (~ (((!!) @ (^[Y0 : a]: 51.64/7.19 (((!!) @ (^[Y1 : a]: 51.64/7.19 (((((X2 @ ('#sk103' @ X2) @ Y0) & (X2 @ 51.64/7.19 Y0 @ Y1))) => 51.64/7.19 (X2 @ ('#sk103' @ X2) @ Y1))))))))) 51.64/7.19 | (X2 @ '#sk7' @ '#sk8') 51.64/7.19 | ~ ('#form9') 51.64/7.19 | ('#form11') 51.64/7.19 | ~ (((!!) @ (^[Y0 : a]: 51.64/7.19 (((!!) @ (^[Y1 : a]: 51.64/7.19 ((((('#sk2' @ Y0 @ Y1) | ('#sk1' @ Y0 @ 51.64/7.19 Y1))) => 51.64/7.19 (X2 @ Y0 @ Y1))))))))))), 51.64/7.19 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl83])). 51.64/7.19 thf(zip_derived_cl109, plain, 51.64/7.19 (![X2 : a > a > $o]: 51.64/7.19 (~ (((!!) @ (^[Y0 : a]: 51.64/7.19 (((((X2 @ ('#sk103' @ X2) @ ('#sk156' @ X2)) & (X2 @ 51.64/7.19 ('#sk156' @ X2) @ Y0))) => 51.64/7.19 (X2 @ ('#sk103' @ X2) @ Y0)))))) 51.64/7.19 | ~ (((!!) @ (^[Y0 : a]: 51.64/7.19 (((!!) @ (^[Y1 : a]: 51.64/7.19 ((((('#sk2' @ Y0 @ Y1) | ('#sk1' @ Y0 @ 51.64/7.19 Y1))) => 51.64/7.19 (X2 @ Y0 @ Y1))))))))) 51.64/7.19 | ('#form11') 51.64/7.19 | ~ ('#form9') 51.64/7.19 | (X2 @ '#sk7' @ '#sk8'))), 51.64/7.19 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl99])). 51.64/7.19 thf(zip_derived_cl119, plain, 51.64/7.19 (![X2 : a > a > $o]: 51.64/7.19 (~ (((((X2 @ ('#sk103' @ X2) @ ('#sk156' @ X2)) & (X2 @ 51.64/7.19 ('#sk156' @ X2) @ ('#sk220' @ X2)))) => 51.64/7.19 (X2 @ ('#sk103' @ X2) @ ('#sk220' @ X2)))) 51.64/7.19 | (X2 @ '#sk7' @ '#sk8') 51.64/7.19 | ~ ('#form9') 51.64/7.19 | ('#form11') 51.64/7.19 | ~ (((!!) @ (^[Y0 : a]: 51.64/7.19 (((!!) @ (^[Y1 : a]: 51.64/7.19 ((((('#sk2' @ Y0 @ Y1) | ('#sk1' @ Y0 @ 51.64/7.19 Y1))) => 51.64/7.19 (X2 @ Y0 @ Y1))))))))))), 51.64/7.19 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl109])). 51.64/7.19 thf(zip_derived_cl131, plain, 51.64/7.19 (![X2 : a > a > $o]: 51.64/7.19 ( ('#form337' @ X2) 51.64/7.19 | ~ (((!!) @ (^[Y0 : a]: 51.64/7.19 (((!!) @ (^[Y1 : a]: 51.64/7.19 ((((('#sk2' @ Y0 @ Y1) | ('#sk1' @ Y0 @ 51.64/7.19 Y1))) => 51.64/7.19 (X2 @ Y0 @ Y1))))))))))), 51.64/7.19 define([status(thm)])). 51.64/7.19 thf(zip_derived_cl406, plain, 51.64/7.19 ((~ ('#form337' @ '#sk21') 51.64/7.19 | ('#sk21' @ '#sk7' @ '#sk8') 51.64/7.19 | ~ ('#form9') 51.64/7.19 | ('#form11') 51.64/7.19 | ~ (((!!) @ (^[Y0 : a]: 51.64/7.19 (((!!) @ (^[Y1 : a]: 51.64/7.19 (((!!) @ (^[Y2 : a]: 51.64/7.19 ((((('#sk21' @ Y0 @ Y1) & 51.64/7.19 ('#sk21' @ Y1 @ Y2))) => 51.64/7.19 ('#sk21' @ Y0 @ Y2)))))))))))))), 51.64/7.19 inference('renaming', [status(thm)], 51.64/7.19 [zip_derived_cl405, zip_derived_cl131])). 51.64/7.19 thf(zip_derived_cl407, plain, 51.64/7.19 ((~ (((!!) @ (^[Y0 : a]: 51.64/7.19 (((!!) @ (^[Y1 : a]: 51.64/7.19 ((((('#sk21' @ ('#sk103' @ '#sk21') @ Y0) & 51.64/7.19 ('#sk21' @ Y0 @ Y1))) => 51.64/7.19 ('#sk21' @ ('#sk103' @ '#sk21') @ Y1))))))))) 51.64/7.19 | ('#form11') 51.64/7.19 | ~ ('#form9') 51.64/7.19 | ('#sk21' @ '#sk7' @ '#sk8') 51.64/7.19 | ~ ('#form337' @ '#sk21'))), 51.64/7.19 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl406])). 51.64/7.19 thf(zip_derived_cl408, plain, 51.64/7.19 ((~ (((!!) @ (^[Y0 : a]: 51.64/7.19 ((((('#sk21' @ ('#sk103' @ '#sk21') @ 51.64/7.19 ('#sk156' @ '#sk21')) & ('#sk21' @ 51.64/7.19 ('#sk156' @ '#sk21') @ Y0))) => 51.64/7.19 ('#sk21' @ ('#sk103' @ '#sk21') @ Y0)))))) 51.64/7.19 | ~ ('#form337' @ '#sk21') 51.64/7.19 | ('#sk21' @ '#sk7' @ '#sk8') 51.64/7.19 | ~ ('#form9') 51.64/7.19 | ('#form11'))), 51.64/7.19 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl407])). 51.64/7.19 thf(zip_derived_cl409, plain, 51.64/7.19 ((~ ((((('#sk21' @ ('#sk103' @ '#sk21') @ ('#sk156' @ '#sk21')) & 51.64/7.19 ('#sk21' @ ('#sk156' @ '#sk21') @ ('#sk220' @ '#sk21')))) => 51.64/7.19 ('#sk21' @ ('#sk103' @ '#sk21') @ ('#sk220' @ '#sk21')))) 51.64/7.19 | ('#form11') 51.64/7.19 | ~ ('#form9') 51.64/7.19 | ('#sk21' @ '#sk7' @ '#sk8') 51.64/7.19 | ~ ('#form337' @ '#sk21'))), 51.64/7.19 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl408])). 51.64/7.19 thf(zip_derived_cl27, plain, 51.64/7.19 (( ('#form9') 51.64/7.19 | ~ (((!!) @ (^[Y0 : a]: 51.64/7.19 (((!!) @ (^[Y1 : a]: 51.64/7.19 (((((((!!) @ (^[Y2 : a > a > $o]: 51.64/7.19 (((((((!!) @ (^[Y3 : a]: 51.64/7.19 (((!!) @ ( 51.64/7.19 ^[Y4 : a]: 51.64/7.19 (( 51.64/7.19 ('#sk1' @ 51.64/7.19 Y3 @ 51.64/7.19 Y4) => 51.64/7.19 (Y2 @ 51.64/7.19 Y3 @ Y4))))))))) & 51.64/7.19 (((!!) @ (^[Y3 : a]: 51.64/7.19 (((!!) @ ( 51.64/7.19 ^[Y4 : a]: 51.64/7.19 (( 51.64/7.19 (!!) @ ( 51.64/7.19 ^[Y5 : a]: 51.64/7.19 (( 51.64/7.19 (( 51.64/7.19 (Y2 @ 51.64/7.19 Y3 @ 51.64/7.19 Y4) & 51.64/7.19 (Y2 @ 51.64/7.19 Y4 @ Y5))) => 51.64/7.19 (Y2 @ 51.64/7.19 Y3 @ Y5)))))))))))))) => 51.64/7.19 (Y2 @ Y0 @ Y1)))))) | 51.64/7.19 (((!!) @ (^[Y2 : a > a > $o]: 51.64/7.19 (((((((!!) @ (^[Y3 : a]: 51.64/7.19 (((!!) @ ( 51.64/7.19 ^[Y4 : a]: 51.64/7.19 (( 51.64/7.19 ('#sk2' @ 51.64/7.19 Y3 @ 51.64/7.19 Y4) => 51.64/7.19 (Y2 @ 51.64/7.19 Y3 @ Y4))))))))) & 51.64/7.19 (((!!) @ (^[Y3 : a]: 51.64/7.19 (((!!) @ ( 51.64/7.19 ^[Y4 : a]: 51.64/7.19 (( 51.64/7.19 (!!) @ ( 51.64/7.19 ^[Y5 : a]: 51.64/7.19 (( 51.64/7.19 (( 51.64/7.19 (Y2 @ 51.64/7.19 Y4 @ 51.64/7.19 Y5) & 51.64/7.19 (Y2 @ 51.64/7.19 Y3 @ Y4))) => 51.64/7.19 (Y2 @ 51.64/7.19 Y3 @ Y5)))))))))))))) => 51.64/7.19 (Y2 @ Y0 @ Y1)))))))) => 51.64/7.19 (((!!) @ (^[Y2 : a > a > $o]: 51.64/7.19 (((((((!!) @ (^[Y3 : a]: 51.64/7.19 (((!!) @ ( 51.64/7.19 ^[Y4 : a]: 51.64/7.19 ( 51.64/7.19 ( 51.64/7.19 (( 51.64/7.19 ('#sk1' @ 51.64/7.19 Y3 @ 51.64/7.19 Y4) | 51.64/7.19 ('#sk2' @ 51.64/7.19 Y3 @ Y4))) => 51.64/7.19 (Y2 @ 51.64/7.19 Y3 @ Y4))))))))) & 51.64/7.19 (((!!) @ (^[Y3 : a]: 51.64/7.19 (((!!) @ ( 51.64/7.19 ^[Y4 : a]: 51.64/7.19 ( 51.64/7.19 ( 51.64/7.19 (!!) @ ( 51.64/7.19 ^[Y5 : a]: 51.64/7.19 (( 51.64/7.19 (( 51.64/7.19 (Y2 @ 51.64/7.19 Y3 @ 51.64/7.19 Y4) & 51.64/7.19 (Y2 @ 51.64/7.19 Y4 @ Y5))) => 51.64/7.19 (Y2 @ 51.64/7.19 Y3 @ Y5)))))))))))))) => 51.64/7.19 (Y2 @ Y0 @ Y1)))))))))))))))), 51.64/7.19 define([status(thm)])). 51.64/7.19 thf(zip_derived_cl28, plain, 51.64/7.19 ((~ (((!!) @ (^[Y0 : a]: 51.64/7.19 (((((((!!) @ (^[Y1 : a > a > $o]: 51.64/7.19 (((((((!!) @ (^[Y2 : a]: 51.64/7.19 (((!!) @ (^[Y3 : a]: 51.64/7.19 ((('#sk1' @ 51.64/7.19 Y2 @ Y3) => 51.64/7.19 (Y1 @ Y2 @ 51.64/7.19 Y3))))))))) & 51.64/7.19 (((!!) @ (^[Y2 : a]: 51.64/7.19 (((!!) @ (^[Y3 : a]: 51.64/7.19 (((!!) @ ( 51.64/7.19 ^[Y4 : a]: 51.64/7.19 ( 51.64/7.19 ( 51.64/7.19 (( 51.64/7.19 (Y1 @ 51.64/7.19 Y2 @ 51.64/7.19 Y3) & 51.64/7.19 (Y1 @ 51.64/7.19 Y3 @ Y4))) => 51.64/7.19 (Y1 @ 51.64/7.19 Y2 @ Y4)))))))))))))) => 51.64/7.19 (Y1 @ '#sk10' @ Y0)))))) | 51.64/7.19 (((!!) @ (^[Y1 : a > a > $o]: 51.64/7.19 (((((((!!) @ (^[Y2 : a]: 51.64/7.19 (((!!) @ (^[Y3 : a]: 51.64/7.19 ((('#sk2' @ 51.64/7.19 Y2 @ Y3) => 51.64/7.19 (Y1 @ Y2 @ 51.64/7.19 Y3))))))))) & 51.64/7.19 (((!!) @ (^[Y2 : a]: 51.64/7.19 (((!!) @ (^[Y3 : a]: 51.64/7.19 (((!!) @ ( 51.64/7.19 ^[Y4 : a]: 51.64/7.19 ( 51.64/7.19 ( 51.64/7.19 (( 51.64/7.19 (Y1 @ 51.64/7.19 Y3 @ 51.64/7.19 Y4) & 51.64/7.19 (Y1 @ 51.64/7.19 Y2 @ Y3))) => 51.64/7.19 (Y1 @ 51.64/7.19 Y2 @ Y4)))))))))))))) => 51.64/7.19 (Y1 @ '#sk10' @ Y0)))))))) => 51.64/7.19 (((!!) @ (^[Y1 : a > a > $o]: 51.64/7.19 (((((((!!) @ (^[Y2 : a]: 51.64/7.19 (((!!) @ (^[Y3 : a]: 51.64/7.19 ((((('#sk1' @ 51.64/7.19 Y2 @ Y3) | 51.64/7.19 ('#sk2' @ 51.64/7.19 Y2 @ Y3))) => 51.64/7.19 (Y1 @ Y2 @ 51.64/7.19 Y3))))))))) & 51.64/7.19 (((!!) @ (^[Y2 : a]: 51.64/7.19 (((!!) @ (^[Y3 : a]: 51.64/7.19 (((!!) @ ( 51.64/7.19 ^[Y4 : a]: 51.64/7.19 (((( 51.64/7.19 (Y1 @ 51.64/7.19 Y2 @ 51.64/7.19 Y3) & 51.64/7.19 (Y1 @ 51.64/7.19 Y3 @ Y4))) => 51.64/7.19 (Y1 @ 51.64/7.19 Y2 @ Y4)))))))))))))) => 51.64/7.19 (Y1 @ '#sk10' @ Y0))))))))))) 51.64/7.19 | ('#form9'))), 51.64/7.19 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl27])). 51.64/7.19 thf(zip_derived_cl41, plain, 51.64/7.19 ((~ (((((((!!) @ (^[Y0 : a > a > $o]: 51.64/7.19 (((((((!!) @ (^[Y1 : a]: 51.64/7.19 (((!!) @ (^[Y2 : a]: 51.64/7.19 ((('#sk1' @ Y1 @ Y2) => 51.64/7.19 (Y0 @ Y1 @ Y2))))))))) & 51.64/7.19 (((!!) @ (^[Y1 : a]: 51.64/7.19 (((!!) @ (^[Y2 : a]: 51.64/7.19 (((!!) @ (^[Y3 : a]: 51.64/7.19 (((((Y0 @ 51.64/7.19 Y1 @ 51.64/7.19 Y2) & 51.64/7.19 (Y0 @ 51.64/7.19 Y2 @ Y3))) => 51.64/7.19 (Y0 @ Y1 @ 51.64/7.19 Y3)))))))))))))) => 51.64/7.19 (Y0 @ '#sk10' @ '#sk12')))))) | 51.64/7.19 (((!!) @ (^[Y0 : a > a > $o]: 51.64/7.19 (((((((!!) @ (^[Y1 : a]: 51.64/7.19 (((!!) @ (^[Y2 : a]: 51.64/7.19 ((('#sk2' @ Y1 @ Y2) => 51.64/7.19 (Y0 @ Y1 @ Y2))))))))) & 51.64/7.19 (((!!) @ (^[Y1 : a]: 51.64/7.19 (((!!) @ (^[Y2 : a]: 51.64/7.19 (((!!) @ (^[Y3 : a]: 51.64/7.19 (((((Y0 @ 51.64/7.19 Y2 @ 51.64/7.19 Y3) & 51.64/7.19 (Y0 @ 51.64/7.19 Y1 @ Y2))) => 51.64/7.19 (Y0 @ Y1 @ 51.64/7.19 Y3)))))))))))))) => 51.64/7.19 (Y0 @ '#sk10' @ '#sk12')))))))) => 51.64/7.19 (((!!) @ (^[Y0 : a > a > $o]: 51.64/7.19 (((((((!!) @ (^[Y1 : a]: 51.64/7.19 (((!!) @ (^[Y2 : a]: 51.64/7.19 ((((('#sk1' @ Y1 @ Y2) | 51.64/7.19 ('#sk2' @ Y1 @ Y2))) => 51.64/7.19 (Y0 @ Y1 @ Y2))))))))) & 51.64/7.19 (((!!) @ (^[Y1 : a]: 51.64/7.19 (((!!) @ (^[Y2 : a]: 51.64/7.19 (((!!) @ (^[Y3 : a]: 51.64/7.19 (((((Y0 @ Y1 @ 51.64/7.19 Y2) & 51.64/7.19 (Y0 @ Y2 @ 51.64/7.19 Y3))) => 51.64/7.19 (Y0 @ Y1 @ 51.64/7.19 Y3)))))))))))))) => 51.64/7.19 (Y0 @ '#sk10' @ '#sk12')))))))) 51.64/7.19 | ('#form9'))), 51.64/7.19 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl28])). 51.64/7.19 thf(zip_derived_cl48, plain, 51.64/7.19 (( (((((!!) @ (^[Y0 : a > a > $o]: 51.64/7.19 (((((((!!) @ (^[Y1 : a]: 51.64/7.19 (((!!) @ (^[Y2 : a]: 51.64/7.19 ((('#sk1' @ Y1 @ Y2) => 51.64/7.19 (Y0 @ Y1 @ Y2))))))))) & 51.64/7.19 (((!!) @ (^[Y1 : a]: 51.64/7.19 (((!!) @ (^[Y2 : a]: 51.64/7.19 (((!!) @ (^[Y3 : a]: 51.64/7.19 (((((Y0 @ Y1 @ 51.64/7.19 Y2) & (Y0 @ 51.64/7.19 Y2 @ Y3))) => 51.64/7.19 (Y0 @ Y1 @ Y3)))))))))))))) => 51.64/7.19 (Y0 @ '#sk10' @ '#sk12')))))) | 51.64/7.19 (((!!) @ (^[Y0 : a > a > $o]: 51.64/7.19 (((((((!!) @ (^[Y1 : a]: 51.64/7.19 (((!!) @ (^[Y2 : a]: 51.64/7.19 ((('#sk2' @ Y1 @ Y2) => 51.64/7.19 (Y0 @ Y1 @ Y2))))))))) & 51.64/7.19 (((!!) @ (^[Y1 : a]: 51.64/7.19 (((!!) @ (^[Y2 : a]: 51.64/7.19 (((!!) @ (^[Y3 : a]: 51.64/7.19 (((((Y0 @ Y2 @ 51.64/7.19 Y3) & (Y0 @ 51.64/7.19 Y1 @ Y2))) => 51.64/7.19 (Y0 @ Y1 @ Y3)))))))))))))) => 51.64/7.19 (Y0 @ '#sk10' @ '#sk12')))))))) 51.64/7.19 | ('#form9'))), 51.64/7.19 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl41])). 51.64/7.19 thf(zip_derived_cl63, plain, 51.64/7.19 (( (((!!) @ (^[Y0 : a > a > $o]: 51.64/7.19 (((((((!!) @ (^[Y1 : a]: 51.64/7.19 (((!!) @ (^[Y2 : a]: 51.64/7.19 ((('#sk1' @ Y1 @ Y2) => (Y0 @ 51.64/7.19 Y1 @ Y2))))))))) & 51.64/7.19 (((!!) @ (^[Y1 : a]: 51.64/7.19 (((!!) @ (^[Y2 : a]: 51.64/7.19 (((!!) @ (^[Y3 : a]: 51.64/7.19 (((((Y0 @ Y1 @ 51.64/7.19 Y2) & (Y0 @ 51.64/7.19 Y2 @ Y3))) => 51.64/7.19 (Y0 @ Y1 @ Y3)))))))))))))) => 51.64/7.19 (Y0 @ '#sk10' @ '#sk12')))))) 51.64/7.19 | (((!!) @ (^[Y0 : a > a > $o]: 51.64/7.19 (((((((!!) @ (^[Y1 : a]: 51.64/7.19 (((!!) @ (^[Y2 : a]: 51.64/7.19 ((('#sk2' @ Y1 @ Y2) => 51.64/7.19 (Y0 @ Y1 @ Y2))))))))) & 51.64/7.19 (((!!) @ (^[Y1 : a]: 51.64/7.19 (((!!) @ (^[Y2 : a]: 51.64/7.19 (((!!) @ (^[Y3 : a]: 51.64/7.19 (((((Y0 @ Y2 @ 51.64/7.19 Y3) & (Y0 @ 51.64/7.19 Y1 @ Y2))) => 51.64/7.19 (Y0 @ Y1 @ Y3)))))))))))))) => 51.64/7.19 (Y0 @ '#sk10' @ '#sk12')))))) 51.64/7.19 | ('#form9'))), 51.64/7.19 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl48])). 51.64/7.19 thf(zip_derived_cl73, plain, 51.64/7.19 (![X2 : a > a > $o]: 51.64/7.19 ( (((((((!!) @ (^[Y0 : a]: 51.64/7.19 (((!!) @ (^[Y1 : a]: 51.64/7.19 ((('#sk1' @ Y0 @ Y1) => (X2 @ Y0 @ Y1))))))))) & 51.64/7.19 (((!!) @ (^[Y0 : a]: 51.64/7.19 (((!!) @ (^[Y1 : a]: 51.64/7.19 (((!!) @ (^[Y2 : a]: 51.64/7.19 (((((X2 @ Y0 @ Y1) & (X2 @ 51.64/7.19 Y1 @ Y2))) => 51.64/7.19 (X2 @ Y0 @ Y2)))))))))))))) => 51.64/7.19 (X2 @ '#sk10' @ '#sk12'))) 51.64/7.19 | ('#form9') 51.64/7.19 | (((!!) @ (^[Y0 : a > a > $o]: 51.64/7.19 (((((((!!) @ (^[Y1 : a]: 51.64/7.19 (((!!) @ (^[Y2 : a]: 51.64/7.19 ((('#sk2' @ Y1 @ Y2) => 51.64/7.19 (Y0 @ Y1 @ Y2))))))))) & 51.64/7.19 (((!!) @ (^[Y1 : a]: 51.64/7.19 (((!!) @ (^[Y2 : a]: 51.64/7.19 (((!!) @ (^[Y3 : a]: 51.64/7.19 (((((Y0 @ 51.64/7.19 Y2 @ Y3) & 51.64/7.19 (Y0 @ 51.64/7.19 Y1 @ Y2))) => 51.64/7.19 (Y0 @ Y1 @ 51.64/7.19 Y3)))))))))))))) => 51.64/7.19 (Y0 @ '#sk10' @ '#sk12')))))))), 51.64/7.19 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl63])). 51.64/7.19 thf(zip_derived_cl73, plain, 51.64/7.19 (![X2 : a > a > $o]: 51.64/7.19 ( (((((((!!) @ (^[Y0 : a]: 51.64/7.19 (((!!) @ (^[Y1 : a]: 51.64/7.19 ((('#sk1' @ Y0 @ Y1) => (X2 @ Y0 @ Y1))))))))) & 51.64/7.19 (((!!) @ (^[Y0 : a]: 51.64/7.19 (((!!) @ (^[Y1 : a]: 51.64/7.19 (((!!) @ (^[Y2 : a]: 51.64/7.19 (((((X2 @ Y0 @ Y1) & (X2 @ 51.64/7.19 Y1 @ Y2))) => 51.64/7.19 (X2 @ Y0 @ Y2)))))))))))))) => 51.64/7.19 (X2 @ '#sk10' @ '#sk12'))) 51.64/7.19 | ('#form9') 51.64/7.19 | (((!!) @ (^[Y0 : a > a > $o]: 51.64/7.19 (((((((!!) @ (^[Y1 : a]: 51.64/7.19 (((!!) @ (^[Y2 : a]: 51.64/7.19 ((('#sk2' @ Y1 @ Y2) => 51.64/7.19 (Y0 @ Y1 @ Y2))))))))) & 51.64/7.19 (((!!) @ (^[Y1 : a]: 51.64/7.19 (((!!) @ (^[Y2 : a]: 51.64/7.19 (((!!) @ (^[Y3 : a]: 51.64/7.19 (((((Y0 @ 51.64/7.19 Y2 @ Y3) & 51.64/7.19 (Y0 @ 51.64/7.19 Y1 @ Y2))) => 51.64/7.19 (Y0 @ Y1 @ 51.64/7.19 Y3)))))))))))))) => 51.64/7.19 (Y0 @ '#sk10' @ '#sk12')))))))), 51.64/7.19 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl63])). 51.64/7.19 thf(zip_derived_cl86, plain, 51.64/7.19 ((~ ('#form94') 51.64/7.19 | (((!!) @ (^[Y0 : a > a > $o]: 51.64/7.19 (((((((!!) @ (^[Y1 : a]: 51.64/7.19 (((!!) @ (^[Y2 : a]: 51.64/7.19 ((('#sk2' @ Y1 @ Y2) => 51.64/7.19 (Y0 @ Y1 @ Y2))))))))) & 51.64/7.19 (((!!) @ (^[Y1 : a]: 51.64/7.19 (((!!) @ (^[Y2 : a]: 51.64/7.19 (((!!) @ (^[Y3 : a]: 51.64/7.19 (((((Y0 @ Y2 @ 51.64/7.19 Y3) & (Y0 @ 51.64/7.19 Y1 @ Y2))) => 51.64/7.19 (Y0 @ Y1 @ Y3)))))))))))))) => 51.64/7.19 (Y0 @ '#sk10' @ '#sk12')))))))), 51.64/7.19 define([status(thm)])). 51.64/7.19 thf(zip_derived_cl93, plain, 51.64/7.19 (![X2 : a > a > $o]: 51.64/7.19 ( ('#form94') 51.64/7.19 | ('#form9') 51.64/7.19 | (((((((!!) @ (^[Y0 : a]: 51.64/7.19 (((!!) @ (^[Y1 : a]: 51.64/7.19 ((('#sk1' @ Y0 @ Y1) => (X2 @ Y0 @ Y1))))))))) & 51.64/7.19 (((!!) @ (^[Y0 : a]: 51.64/7.19 (((!!) @ (^[Y1 : a]: 51.64/7.19 (((!!) @ (^[Y2 : a]: 51.64/7.19 (((((X2 @ Y0 @ Y1) & 51.64/7.19 (X2 @ Y1 @ Y2))) => 51.64/7.19 (X2 @ Y0 @ Y2)))))))))))))) => 51.64/7.19 (X2 @ '#sk10' @ '#sk12'))))), 51.64/7.19 inference('renaming', [status(thm)], [zip_derived_cl73, zip_derived_cl86])). 51.64/7.19 thf(zip_derived_cl102, plain, 51.64/7.19 (![X2 : a > a > $o]: 51.64/7.19 (~ (((((!!) @ (^[Y0 : a]: 51.64/7.19 (((!!) @ (^[Y1 : a]: 51.64/7.19 ((('#sk1' @ Y0 @ Y1) => (X2 @ Y0 @ Y1))))))))) & 51.64/7.19 (((!!) @ (^[Y0 : a]: 51.64/7.19 (((!!) @ (^[Y1 : a]: 51.64/7.19 (((!!) @ (^[Y2 : a]: 51.64/7.19 (((((X2 @ Y0 @ Y1) & (X2 @ 51.64/7.19 Y1 @ Y2))) => 51.64/7.19 (X2 @ Y0 @ Y2)))))))))))))) 51.64/7.19 | (X2 @ '#sk10' @ '#sk12') 51.64/7.19 | ('#form9') 51.64/7.19 | ('#form94'))), 51.64/7.19 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl93])). 51.64/7.19 thf(zip_derived_cl112, plain, 51.64/7.19 (![X2 : a > a > $o]: 51.64/7.19 (~ (((!!) @ (^[Y0 : a]: 51.64/7.19 (((!!) @ (^[Y1 : a]: 51.64/7.19 ((('#sk1' @ Y0 @ Y1) => (X2 @ Y0 @ Y1))))))))) 51.64/7.19 | ~ (((!!) @ (^[Y0 : a]: 51.64/7.19 (((!!) @ (^[Y1 : a]: 51.64/7.19 (((!!) @ (^[Y2 : a]: 51.64/7.19 (((((X2 @ Y0 @ Y1) & (X2 @ 51.64/7.19 Y1 @ Y2))) => 51.64/7.19 (X2 @ Y0 @ Y2)))))))))))) 51.64/7.19 | ('#form94') 51.64/7.19 | ('#form9') 51.64/7.19 | (X2 @ '#sk10' @ '#sk12'))), 51.64/7.19 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl102])). 51.64/7.19 thf(zip_derived_cl123, plain, 51.64/7.19 (![X2 : a > a > $o]: 51.64/7.19 (~ (((!!) @ (^[Y0 : a]: 51.64/7.19 ((('#sk1' @ ('#sk268' @ X2) @ Y0) => (X2 @ 51.64/7.19 ('#sk268' @ X2) @ Y0)))))) 51.64/7.19 | (X2 @ '#sk10' @ '#sk12') 51.64/7.19 | ('#form9') 51.64/7.19 | ('#form94') 51.64/7.19 | ~ (((!!) @ (^[Y0 : a]: 51.64/7.19 (((!!) @ (^[Y1 : a]: 51.64/7.19 (((!!) @ (^[Y2 : a]: 51.64/7.19 (((((X2 @ Y0 @ Y1) & (X2 @ 51.64/7.19 Y1 @ Y2))) => 51.64/7.19 (X2 @ Y0 @ Y2)))))))))))))), 51.64/7.19 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl112])). 51.64/7.19 thf(zip_derived_cl135, plain, 51.64/7.19 (![X2 : a > a > $o]: 51.64/7.19 (~ ((('#sk1' @ ('#sk268' @ X2) @ ('#sk350' @ X2)) => (X2 @ 51.64/7.19 ('#sk268' @ X2) @ ('#sk350' @ X2)))) 51.64/7.19 | ~ (((!!) @ (^[Y0 : a]: 51.64/7.19 (((!!) @ (^[Y1 : a]: 51.64/7.19 (((!!) @ (^[Y2 : a]: 51.64/7.19 (((((X2 @ Y0 @ Y1) & (X2 @ 51.64/7.19 Y1 @ Y2))) => 51.64/7.19 (X2 @ Y0 @ Y2)))))))))))) 51.64/7.19 | ('#form94') 51.64/7.19 | ('#form9') 51.64/7.19 | (X2 @ '#sk10' @ '#sk12'))), 51.64/7.19 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl123])). 51.64/7.19 thf(zip_derived_cl148, plain, 51.64/7.19 (![X2 : a > a > $o]: 51.64/7.19 ( ('#sk1' @ ('#sk268' @ X2) @ ('#sk350' @ X2)) 51.64/7.19 | (X2 @ '#sk10' @ '#sk12') 51.64/7.19 | ('#form9') 51.64/7.19 | ('#form94') 51.64/7.19 | ~ (((!!) @ (^[Y0 : a]: 51.64/7.19 (((!!) @ (^[Y1 : a]: 51.64/7.19 (((!!) @ (^[Y2 : a]: 51.64/7.19 (((((X2 @ Y0 @ Y1) & (X2 @ 51.64/7.19 Y1 @ Y2))) => 51.64/7.19 (X2 @ Y0 @ Y2)))))))))))))), 51.64/7.19 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl135])). 51.64/7.19 thf(zip_derived_cl165, plain, 51.64/7.19 (![X2 : a > a > $o]: 51.64/7.19 (~ (((!!) @ (^[Y0 : a]: 51.64/7.19 (((!!) @ (^[Y1 : a]: 51.64/7.19 (((((X2 @ ('#sk103' @ X2) @ Y0) & (X2 @ 51.64/7.19 Y0 @ Y1))) => 51.64/7.19 (X2 @ ('#sk103' @ X2) @ Y1))))))))) 51.64/7.19 | ('#form94') 51.64/7.19 | ('#form9') 51.64/7.19 | (X2 @ '#sk10' @ '#sk12') 51.64/7.19 | ('#sk1' @ ('#sk268' @ X2) @ ('#sk350' @ X2)))), 51.64/7.19 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl148])). 51.64/7.19 thf(zip_derived_cl172, plain, 51.64/7.19 (![X2 : a > a > $o]: 51.64/7.19 (~ (((!!) @ (^[Y0 : a]: 51.64/7.19 (((((X2 @ ('#sk103' @ X2) @ ('#sk156' @ X2)) & (X2 @ 51.64/7.19 ('#sk156' @ X2) @ Y0))) => 51.64/7.19 (X2 @ ('#sk103' @ X2) @ Y0)))))) 51.64/7.19 | ('#sk1' @ ('#sk268' @ X2) @ ('#sk350' @ X2)) 51.64/7.19 | (X2 @ '#sk10' @ '#sk12') 51.64/7.19 | ('#form9') 51.64/7.19 | ('#form94'))), 51.64/7.19 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl165])). 51.64/7.19 thf(zip_derived_cl176, plain, 51.64/7.19 (![X2 : a > a > $o]: 51.64/7.19 (~ (((((X2 @ ('#sk103' @ X2) @ ('#sk156' @ X2)) & (X2 @ 51.64/7.19 ('#sk156' @ X2) @ ('#sk220' @ X2)))) => 51.64/7.19 (X2 @ ('#sk103' @ X2) @ ('#sk220' @ X2)))) 51.64/7.19 | ('#form94') 51.64/7.19 | ('#form9') 51.64/7.19 | (X2 @ '#sk10' @ '#sk12') 51.64/7.19 | ('#sk1' @ ('#sk268' @ X2) @ ('#sk350' @ X2)))), 51.64/7.19 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl172])). 51.64/7.19 thf(zip_derived_cl180, plain, 51.64/7.19 (![X2 : a > a > $o]: 51.64/7.19 ( ('#form845' @ X2) 51.64/7.19 | ~ (((((X2 @ ('#sk103' @ X2) @ ('#sk156' @ X2)) & (X2 @ 51.64/7.19 ('#sk156' @ X2) @ ('#sk220' @ X2)))) => 51.64/7.19 (X2 @ ('#sk103' @ X2) @ ('#sk220' @ X2)))))), 51.64/7.19 define([status(thm)])). 51.64/7.19 thf(zip_derived_cl410, plain, 51.64/7.19 ((~ ('#form845' @ '#sk21') 51.64/7.19 | ~ ('#form337' @ '#sk21') 51.64/7.19 | ('#sk21' @ '#sk7' @ '#sk8') 51.64/7.19 | ~ ('#form9') 51.64/7.19 | ('#form11'))), 51.64/7.19 inference('renaming', [status(thm)], 51.64/7.19 [zip_derived_cl409, zip_derived_cl180])). 51.64/7.19 thf(zip_derived_cl25, plain, 51.64/7.19 (( (((!!) @ (^[Y0 : a > a > $o]: 51.64/7.19 (((((((!!) @ (^[Y1 : a]: 51.64/7.19 (((!!) @ (^[Y2 : a]: 51.64/7.19 (((!!) @ (^[Y3 : a]: 51.64/7.19 (((((Y0 @ Y1 @ 51.64/7.19 Y2) & (Y0 @ 51.64/7.19 Y2 @ Y3))) => 51.64/7.19 (Y0 @ Y1 @ Y3)))))))))))) & 51.64/7.19 (((!!) @ (^[Y1 : a]: 51.64/7.19 (((!!) @ (^[Y2 : a]: 51.64/7.19 ((((('#sk2' @ Y1 @ Y2) | 51.64/7.19 ('#sk1' @ Y1 @ Y2))) => 51.64/7.19 (Y0 @ Y1 @ Y2))))))))))) => 51.64/7.19 (Y0 @ '#sk6' @ '#sk7')))))) 51.64/7.19 | (((!!) @ (^[Y0 : a > a > $o]: 51.64/7.19 (((((((!!) @ (^[Y1 : a]: 51.64/7.19 (((!!) @ (^[Y2 : a]: 51.64/7.19 ((((('#sk1' @ Y1 @ Y2) | 51.64/7.19 ('#sk2' @ Y1 @ Y2))) => 51.64/7.19 (Y0 @ Y1 @ Y2))))))))) & 51.64/7.19 (((!!) @ (^[Y1 : a]: 51.64/7.19 (((!!) @ (^[Y2 : a]: 51.64/7.19 (((!!) @ (^[Y3 : a]: 51.64/7.19 (((((Y0 @ Y2 @ 51.64/7.19 Y3) & (Y0 @ 51.64/7.19 Y1 @ Y2))) => 51.64/7.19 (Y0 @ Y1 @ Y3)))))))))))))) => 51.64/7.19 (Y0 @ '#sk3' @ '#sk4')))))) 51.64/7.19 | ~ (((!!) @ (^[Y0 : a]: 51.64/7.19 (((!!) @ (^[Y1 : a]: 51.64/7.19 (((((((!!) @ (^[Y2 : a > a > $o]: 51.64/7.19 (((((((!!) @ (^[Y3 : a]: 51.64/7.19 (((!!) @ ( 51.64/7.19 ^[Y4 : a]: 51.64/7.19 (( 51.64/7.19 ('#sk1' @ 51.64/7.19 Y3 @ 51.64/7.19 Y4) => 51.64/7.19 (Y2 @ 51.64/7.19 Y3 @ Y4))))))))) & 51.64/7.19 (((!!) @ (^[Y3 : a]: 51.64/7.19 (((!!) @ ( 51.64/7.19 ^[Y4 : a]: 51.64/7.19 (( 51.64/7.19 (!!) @ ( 51.64/7.19 ^[Y5 : a]: 51.64/7.19 (( 51.64/7.19 (( 51.64/7.19 (Y2 @ 51.64/7.19 Y3 @ 51.64/7.19 Y4) & 51.64/7.19 (Y2 @ 51.64/7.19 Y4 @ Y5))) => 51.64/7.19 (Y2 @ 51.64/7.19 Y3 @ Y5)))))))))))))) => 51.64/7.19 (Y2 @ Y0 @ Y1)))))) | 51.64/7.19 (((!!) @ (^[Y2 : a > a > $o]: 51.64/7.19 (((((((!!) @ (^[Y3 : a]: 51.64/7.19 (((!!) @ ( 51.64/7.19 ^[Y4 : a]: 51.64/7.19 (( 51.64/7.19 ('#sk2' @ 51.64/7.19 Y3 @ 51.64/7.19 Y4) => 51.64/7.19 (Y2 @ 51.64/7.19 Y3 @ Y4))))))))) & 51.64/7.19 (((!!) @ (^[Y3 : a]: 51.64/7.19 (((!!) @ ( 51.64/7.19 ^[Y4 : a]: 51.64/7.19 (( 51.64/7.19 (!!) @ ( 51.64/7.19 ^[Y5 : a]: 51.64/7.19 (( 51.64/7.19 (( 51.64/7.19 (Y2 @ 51.64/7.19 Y4 @ 51.64/7.19 Y5) & 51.64/7.19 (Y2 @ 51.64/7.19 Y3 @ Y4))) => 51.64/7.19 (Y2 @ 51.64/7.19 Y3 @ Y5)))))))))))))) => 51.64/7.19 (Y2 @ Y0 @ Y1)))))))) => 51.64/7.19 (((!!) @ (^[Y2 : a > a > $o]: 51.64/7.19 (((((((!!) @ (^[Y3 : a]: 51.64/7.19 (((!!) @ ( 51.64/7.19 ^[Y4 : a]: 51.64/7.19 ( 51.64/7.19 ( 51.64/7.19 (( 51.64/7.19 ('#sk1' @ 51.64/7.19 Y3 @ 51.64/7.19 Y4) | 51.64/7.19 ('#sk2' @ 51.64/7.19 Y3 @ Y4))) => 51.64/7.19 (Y2 @ 51.64/7.19 Y3 @ Y4))))))))) & 51.64/7.19 (((!!) @ (^[Y3 : a]: 51.64/7.19 (((!!) @ ( 51.64/7.19 ^[Y4 : a]: 51.64/7.19 ( 51.64/7.19 ( 51.64/7.19 (!!) @ ( 51.64/7.19 ^[Y5 : a]: 51.64/7.19 (( 51.64/7.19 (( 51.64/7.19 (Y2 @ 51.64/7.19 Y3 @ 51.64/7.19 Y4) & 51.64/7.19 (Y2 @ 51.64/7.19 Y4 @ Y5))) => 51.64/7.19 (Y2 @ 51.64/7.19 Y3 @ Y5)))))))))))))) => 51.64/7.19 (Y2 @ Y0 @ Y1)))))))))))))))), 51.64/7.19 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl21])). 51.64/7.19 thf(zip_derived_cl33, plain, 51.64/7.19 ((~ ('#form11') 51.64/7.19 | (((!!) @ (^[Y0 : a > a > $o]: 51.64/7.19 (((((((!!) @ (^[Y1 : a]: 51.64/7.19 (((!!) @ (^[Y2 : a]: 51.64/7.19 ((((('#sk1' @ Y1 @ Y2) | 51.64/7.19 ('#sk2' @ Y1 @ Y2))) => 51.64/7.19 (Y0 @ Y1 @ Y2))))))))) & 51.64/7.19 (((!!) @ (^[Y1 : a]: 51.64/7.19 (((!!) @ (^[Y2 : a]: 51.64/7.19 (((!!) @ (^[Y3 : a]: 51.64/7.19 (((((Y0 @ Y2 @ 51.64/7.19 Y3) & (Y0 @ 51.64/7.19 Y1 @ Y2))) => 51.64/7.19 (Y0 @ Y1 @ Y3)))))))))))))) => 51.64/7.19 (Y0 @ '#sk3' @ '#sk4')))))))), 51.64/7.19 define([status(thm)])). 51.64/7.19 thf(zip_derived_cl38, plain, 51.64/7.19 (( ('#form11') 51.64/7.19 | ~ (((!!) @ (^[Y0 : a]: 51.64/7.19 (((!!) @ (^[Y1 : a]: 51.64/7.19 (((((((!!) @ (^[Y2 : a > a > $o]: 51.64/7.19 (((((((!!) @ (^[Y3 : a]: 51.64/7.19 (((!!) @ ( 51.64/7.19 ^[Y4 : a]: 51.64/7.19 (( 51.64/7.19 ('#sk1' @ 51.64/7.19 Y3 @ 51.64/7.19 Y4) => 51.64/7.19 (Y2 @ 51.64/7.19 Y3 @ Y4))))))))) & 51.64/7.19 (((!!) @ (^[Y3 : a]: 51.64/7.19 (((!!) @ ( 51.64/7.19 ^[Y4 : a]: 51.64/7.19 (( 51.64/7.19 (!!) @ ( 51.64/7.19 ^[Y5 : a]: 51.64/7.19 (( 51.64/7.19 (( 51.64/7.19 (Y2 @ 51.64/7.19 Y3 @ 51.64/7.19 Y4) & 51.64/7.19 (Y2 @ 51.64/7.19 Y4 @ Y5))) => 51.64/7.19 (Y2 @ 51.64/7.19 Y3 @ Y5)))))))))))))) => 51.64/7.19 (Y2 @ Y0 @ Y1)))))) | 51.64/7.19 (((!!) @ (^[Y2 : a > a > $o]: 51.64/7.19 (((((((!!) @ (^[Y3 : a]: 51.64/7.19 (((!!) @ ( 51.64/7.19 ^[Y4 : a]: 51.64/7.19 (( 51.64/7.19 ('#sk2' @ 51.64/7.19 Y3 @ 51.64/7.19 Y4) => 51.64/7.19 (Y2 @ 51.64/7.19 Y3 @ Y4))))))))) & 51.64/7.19 (((!!) @ (^[Y3 : a]: 51.64/7.19 (((!!) @ ( 51.64/7.19 ^[Y4 : a]: 51.64/7.19 (( 51.64/7.19 (!!) @ ( 51.64/7.19 ^[Y5 : a]: 51.64/7.19 (( 51.64/7.19 (( 51.64/7.19 (Y2 @ 51.64/7.19 Y4 @ 51.64/7.19 Y5) & 51.64/7.19 (Y2 @ 51.64/7.19 Y3 @ Y4))) => 51.64/7.19 (Y2 @ 51.64/7.19 Y3 @ Y5)))))))))))))) => 51.64/7.19 (Y2 @ Y0 @ Y1)))))))) => 51.64/7.19 (((!!) @ (^[Y2 : a > a > $o]: 51.64/7.19 (((((((!!) @ (^[Y3 : a]: 51.64/7.19 (((!!) @ ( 51.64/7.19 ^[Y4 : a]: 51.64/7.19 ( 51.64/7.19 ( 51.64/7.19 (( 51.64/7.19 ('#sk1' @ 51.64/7.19 Y3 @ 51.64/7.19 Y4) | 51.64/7.19 ('#sk2' @ 51.64/7.19 Y3 @ Y4))) => 51.64/7.19 (Y2 @ 51.64/7.19 Y3 @ Y4))))))))) & 51.64/7.19 (((!!) @ (^[Y3 : a]: 51.64/7.19 (((!!) @ ( 51.64/7.19 ^[Y4 : a]: 51.64/7.19 ( 51.64/7.19 ( 51.64/7.19 (!!) @ ( 51.64/7.19 ^[Y5 : a]: 51.64/7.19 (( 51.64/7.19 (( 51.64/7.19 (Y2 @ 51.64/7.19 Y3 @ 51.64/7.19 Y4) & 51.64/7.19 (Y2 @ 51.64/7.19 Y4 @ Y5))) => 51.64/7.19 (Y2 @ 51.64/7.19 Y3 @ Y5)))))))))))))) => 51.64/7.19 (Y2 @ Y0 @ Y1)))))))))))))) 51.64/7.19 | (((!!) @ (^[Y0 : a > a > $o]: 51.64/7.19 (((((((!!) @ (^[Y1 : a]: 51.64/7.19 (((!!) @ (^[Y2 : a]: 51.64/7.19 (((!!) @ (^[Y3 : a]: 51.64/7.19 (((((Y0 @ Y1 @ 51.64/7.19 Y2) & (Y0 @ 51.64/7.19 Y2 @ Y3))) => 51.64/7.19 (Y0 @ Y1 @ Y3)))))))))))) & 51.64/7.19 (((!!) @ (^[Y1 : a]: 51.64/7.19 (((!!) @ (^[Y2 : a]: 51.64/7.19 ((((('#sk2' @ Y1 @ Y2) | 51.64/7.19 ('#sk1' @ Y1 @ Y2))) => 51.64/7.19 (Y0 @ Y1 @ Y2))))))))))) => 51.64/7.19 (Y0 @ '#sk6' @ '#sk7')))))))), 51.64/7.19 inference('renaming', [status(thm)], [zip_derived_cl25, zip_derived_cl33])). 51.64/7.19 thf(zip_derived_cl27, plain, 51.64/7.19 (( ('#form9') 51.64/7.19 | ~ (((!!) @ (^[Y0 : a]: 51.64/7.19 (((!!) @ (^[Y1 : a]: 51.64/7.19 (((((((!!) @ (^[Y2 : a > a > $o]: 51.64/7.19 (((((((!!) @ (^[Y3 : a]: 51.64/7.19 (((!!) @ ( 51.64/7.19 ^[Y4 : a]: 51.64/7.19 (( 51.64/7.19 ('#sk1' @ 51.64/7.19 Y3 @ 51.64/7.19 Y4) => 51.64/7.19 (Y2 @ 51.64/7.19 Y3 @ Y4))))))))) & 51.64/7.19 (((!!) @ (^[Y3 : a]: 51.64/7.19 (((!!) @ ( 51.64/7.19 ^[Y4 : a]: 51.64/7.19 (( 51.64/7.19 (!!) @ ( 51.64/7.19 ^[Y5 : a]: 51.64/7.19 (( 51.64/7.19 (( 51.64/7.19 (Y2 @ 51.64/7.19 Y3 @ 51.64/7.19 Y4) & 51.64/7.19 (Y2 @ 51.64/7.19 Y4 @ Y5))) => 51.64/7.19 (Y2 @ 51.64/7.19 Y3 @ Y5)))))))))))))) => 51.64/7.19 (Y2 @ Y0 @ Y1)))))) | 51.64/7.19 (((!!) @ (^[Y2 : a > a > $o]: 51.64/7.19 (((((((!!) @ (^[Y3 : a]: 51.64/7.19 (((!!) @ ( 51.64/7.19 ^[Y4 : a]: 51.64/7.19 (( 51.64/7.19 ('#sk2' @ 51.64/7.19 Y3 @ 51.64/7.19 Y4) => 51.64/7.19 (Y2 @ 51.64/7.19 Y3 @ Y4))))))))) & 51.64/7.19 (((!!) @ (^[Y3 : a]: 51.64/7.19 (((!!) @ ( 51.64/7.19 ^[Y4 : a]: 51.64/7.19 (( 51.64/7.19 (!!) @ ( 51.64/7.19 ^[Y5 : a]: 51.64/7.19 (( 51.64/7.19 (( 51.64/7.19 (Y2 @ 51.64/7.19 Y4 @ 51.64/7.19 Y5) & 51.64/7.19 (Y2 @ 51.64/7.19 Y3 @ Y4))) => 51.64/7.19 (Y2 @ 51.64/7.19 Y3 @ Y5)))))))))))))) => 51.64/7.19 (Y2 @ Y0 @ Y1)))))))) => 51.64/7.19 (((!!) @ (^[Y2 : a > a > $o]: 51.64/7.19 (((((((!!) @ (^[Y3 : a]: 51.64/7.19 (((!!) @ ( 51.64/7.19 ^[Y4 : a]: 51.64/7.19 ( 51.64/7.19 ( 51.64/7.19 (( 51.64/7.19 ('#sk1' @ 51.64/7.19 Y3 @ 51.64/7.19 Y4) | 51.64/7.19 ('#sk2' @ 51.64/7.19 Y3 @ Y4))) => 51.64/7.19 (Y2 @ 51.64/7.19 Y3 @ Y4))))))))) & 51.64/7.19 (((!!) @ (^[Y3 : a]: 51.64/7.19 (((!!) @ ( 51.64/7.19 ^[Y4 : a]: 51.64/7.19 ( 51.64/7.19 ( 51.64/7.19 (!!) @ ( 51.64/7.19 ^[Y5 : a]: 51.64/7.19 (( 51.64/7.19 (( 51.64/7.19 (Y2 @ 51.64/7.19 Y3 @ 51.64/7.19 Y4) & 51.64/7.19 (Y2 @ 51.64/7.19 Y4 @ Y5))) => 51.64/7.19 (Y2 @ 51.64/7.19 Y3 @ Y5)))))))))))))) => 51.64/7.19 (Y2 @ Y0 @ Y1)))))))))))))))), 51.64/7.19 define([status(thm)])). 51.64/7.19 thf(zip_derived_cl43, plain, 51.64/7.19 ((~ ('#form9') 51.64/7.19 | (((!!) @ (^[Y0 : a > a > $o]: 51.64/7.19 (((((((!!) @ (^[Y1 : a]: 51.64/7.19 (((!!) @ (^[Y2 : a]: 51.64/7.19 (((!!) @ (^[Y3 : a]: 51.64/7.19 (((((Y0 @ Y1 @ 51.64/7.19 Y2) & (Y0 @ 51.64/7.19 Y2 @ Y3))) => 51.64/7.19 (Y0 @ Y1 @ Y3)))))))))))) & 51.64/7.19 (((!!) @ (^[Y1 : a]: 51.64/7.19 (((!!) @ (^[Y2 : a]: 51.64/7.19 ((((('#sk2' @ Y1 @ Y2) | 51.64/7.19 ('#sk1' @ Y1 @ Y2))) => 51.64/7.19 (Y0 @ Y1 @ Y2))))))))))) => 51.64/7.19 (Y0 @ '#sk6' @ '#sk7')))))) 51.64/7.19 | ('#form11'))), 51.64/7.19 inference('renaming', [status(thm)], [zip_derived_cl38, zip_derived_cl27])). 51.64/7.19 thf(zip_derived_cl50, plain, 51.64/7.19 (![X2 : a > a > $o]: 51.64/7.19 ( (((((((!!) @ (^[Y0 : a]: 51.64/7.19 (((!!) @ (^[Y1 : a]: 51.64/7.19 (((!!) @ (^[Y2 : a]: 51.64/7.19 (((((X2 @ Y0 @ Y1) & (X2 @ 51.64/7.19 Y1 @ Y2))) => 51.64/7.19 (X2 @ Y0 @ Y2)))))))))))) & 51.64/7.19 (((!!) @ (^[Y0 : a]: 51.64/7.19 (((!!) @ (^[Y1 : a]: 51.64/7.19 ((((('#sk2' @ Y0 @ Y1) | ('#sk1' @ Y0 @ 51.64/7.19 Y1))) => 51.64/7.19 (X2 @ Y0 @ Y1))))))))))) => 51.64/7.19 (X2 @ '#sk6' @ '#sk7'))) 51.64/7.19 | ('#form11') 51.64/7.19 | ~ ('#form9'))), 51.64/7.19 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl43])). 51.64/7.19 thf(zip_derived_cl51, plain, 51.64/7.19 (( (((((((!!) @ (^[Y0 : a]: 51.64/7.19 (((!!) @ (^[Y1 : a]: 51.64/7.19 (((!!) @ (^[Y2 : a]: 51.64/7.19 ((((('#sk21' @ Y0 @ Y1) & 51.64/7.19 ('#sk21' @ Y1 @ Y2))) => 51.64/7.19 ('#sk21' @ Y0 @ Y2)))))))))))) & 51.64/7.19 (((!!) @ (^[Y0 : a]: 51.64/7.19 (((!!) @ (^[Y1 : a]: 51.64/7.19 ((((('#sk2' @ Y0 @ Y1) | ('#sk1' @ Y0 @ 51.64/7.19 Y1))) => 51.64/7.19 ('#sk21' @ Y0 @ Y1))))))))))) => 51.64/7.19 ('#sk21' @ '#sk6' @ '#sk7'))) 51.64/7.19 | ('#form11') 51.64/7.19 | ~ ('#form9'))), 51.64/7.19 inference('triggered_bool_instantiation', [status(thm)], 51.64/7.19 [zip_derived_cl50])). 51.64/7.19 thf(zip_derived_cl376, plain, 51.64/7.19 ((~ (((((!!) @ (^[Y0 : a]: 51.64/7.19 (((!!) @ (^[Y1 : a]: 51.64/7.19 (((!!) @ (^[Y2 : a]: 51.64/7.19 ((((('#sk21' @ Y0 @ Y1) & 51.64/7.19 ('#sk21' @ Y1 @ Y2))) => 51.64/7.19 ('#sk21' @ Y0 @ Y2)))))))))))) & 51.64/7.19 (((!!) @ (^[Y0 : a]: 51.64/7.19 (((!!) @ (^[Y1 : a]: 51.64/7.19 ((((('#sk2' @ Y0 @ Y1) | ('#sk1' @ Y0 @ Y1))) => 51.64/7.19 ('#sk21' @ Y0 @ Y1))))))))))) 51.64/7.19 | ('#sk21' @ '#sk6' @ '#sk7') 51.64/7.19 | ~ ('#form9') 51.64/7.19 | ('#form11'))), 51.64/7.19 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl51])). 51.64/7.19 thf(zip_derived_cl377, plain, 51.64/7.19 ((~ (((!!) @ (^[Y0 : a]: 51.64/7.19 (((!!) @ (^[Y1 : a]: 51.64/7.19 (((!!) @ (^[Y2 : a]: 51.64/7.19 ((((('#sk21' @ Y0 @ Y1) & 51.64/7.19 ('#sk21' @ Y1 @ Y2))) => 51.64/7.19 ('#sk21' @ Y0 @ Y2)))))))))))) 51.64/7.19 | ~ (((!!) @ (^[Y0 : a]: 51.64/7.19 (((!!) @ (^[Y1 : a]: 51.64/7.19 ((((('#sk2' @ Y0 @ Y1) | ('#sk1' @ Y0 @ Y1))) => 51.64/7.19 ('#sk21' @ Y0 @ Y1))))))))) 51.64/7.19 | ('#form11') 51.64/7.19 | ~ ('#form9') 51.64/7.19 | ('#sk21' @ '#sk6' @ '#sk7'))), 51.64/7.19 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl376])). 51.64/7.19 thf(zip_derived_cl131, plain, 51.64/7.19 (![X2 : a > a > $o]: 51.64/7.19 ( ('#form337' @ X2) 51.64/7.19 | ~ (((!!) @ (^[Y0 : a]: 51.64/7.19 (((!!) @ (^[Y1 : a]: 51.64/7.19 ((((('#sk2' @ Y0 @ Y1) | ('#sk1' @ Y0 @ 51.64/7.19 Y1))) => 51.64/7.19 (X2 @ Y0 @ Y1))))))))))), 51.64/7.19 define([status(thm)])). 51.64/7.19 thf(zip_derived_cl378, plain, 51.64/7.19 ((~ ('#form337' @ '#sk21') 51.64/7.19 | ('#sk21' @ '#sk6' @ '#sk7') 51.64/7.19 | ~ ('#form9') 51.64/7.19 | ('#form11') 51.64/7.19 | ~ (((!!) @ (^[Y0 : a]: 51.64/7.19 (((!!) @ (^[Y1 : a]: 51.64/7.19 (((!!) @ (^[Y2 : a]: 51.64/7.19 ((((('#sk21' @ Y0 @ Y1) & 51.64/7.19 ('#sk21' @ Y1 @ Y2))) => 51.64/7.19 ('#sk21' @ Y0 @ Y2)))))))))))))), 51.64/7.19 inference('renaming', [status(thm)], 51.64/7.19 [zip_derived_cl377, zip_derived_cl131])). 51.64/7.19 thf(zip_derived_cl379, plain, 51.64/7.19 ((~ (((!!) @ (^[Y0 : a]: 51.64/7.19 (((!!) @ (^[Y1 : a]: 51.64/7.19 ((((('#sk21' @ ('#sk103' @ '#sk21') @ Y0) & 51.64/7.19 ('#sk21' @ Y0 @ Y1))) => 51.64/7.19 ('#sk21' @ ('#sk103' @ '#sk21') @ Y1))))))))) 51.64/7.19 | ('#form11') 51.64/7.19 | ~ ('#form9') 51.64/7.19 | ('#sk21' @ '#sk6' @ '#sk7') 51.64/7.19 | ~ ('#form337' @ '#sk21'))), 51.64/7.19 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl378])). 51.64/7.19 thf(zip_derived_cl380, plain, 51.64/7.19 ((~ (((!!) @ (^[Y0 : a]: 51.64/7.19 ((((('#sk21' @ ('#sk103' @ '#sk21') @ 51.64/7.19 ('#sk156' @ '#sk21')) & ('#sk21' @ 51.64/7.19 ('#sk156' @ '#sk21') @ Y0))) => 51.64/7.19 ('#sk21' @ ('#sk103' @ '#sk21') @ Y0)))))) 51.64/7.19 | ~ ('#form337' @ '#sk21') 51.64/7.19 | ('#sk21' @ '#sk6' @ '#sk7') 51.64/7.19 | ~ ('#form9') 51.64/7.19 | ('#form11'))), 51.64/7.19 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl379])). 51.64/7.19 thf(zip_derived_cl381, plain, 51.64/7.19 ((~ ((((('#sk21' @ ('#sk103' @ '#sk21') @ ('#sk156' @ '#sk21')) & 51.64/7.19 ('#sk21' @ ('#sk156' @ '#sk21') @ ('#sk220' @ '#sk21')))) => 51.64/7.19 ('#sk21' @ ('#sk103' @ '#sk21') @ ('#sk220' @ '#sk21')))) 51.64/7.19 | ('#form11') 51.64/7.19 | ~ ('#form9') 51.64/7.19 | ('#sk21' @ '#sk6' @ '#sk7') 51.64/7.19 | ~ ('#form337' @ '#sk21'))), 51.64/7.19 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl380])). 51.64/7.19 thf(zip_derived_cl180, plain, 51.64/7.19 (![X2 : a > a > $o]: 51.64/7.19 ( ('#form845' @ X2) 51.64/7.19 | ~ (((((X2 @ ('#sk103' @ X2) @ ('#sk156' @ X2)) & (X2 @ 51.64/7.19 ('#sk156' @ X2) @ ('#sk220' @ X2)))) => 51.64/7.19 (X2 @ ('#sk103' @ X2) @ ('#sk220' @ X2)))))), 51.64/7.19 define([status(thm)])). 51.64/7.19 thf(zip_derived_cl382, plain, 51.64/7.19 ((~ ('#form845' @ '#sk21') 51.64/7.19 | ~ ('#form337' @ '#sk21') 51.64/7.19 | ('#sk21' @ '#sk6' @ '#sk7') 51.64/7.19 | ~ ('#form9') 51.64/7.19 | ('#form11'))), 51.64/7.19 inference('renaming', [status(thm)], 51.64/7.19 [zip_derived_cl381, zip_derived_cl180])). 51.64/7.19 thf(zip_derived_cl131, plain, 51.64/7.19 (![X2 : a > a > $o]: 51.64/7.19 ( ('#form337' @ X2) 51.64/7.19 | ~ (((!!) @ (^[Y0 : a]: 51.64/7.19 (((!!) @ (^[Y1 : a]: 51.64/7.19 ((((('#sk2' @ Y0 @ Y1) | ('#sk1' @ Y0 @ 51.64/7.19 Y1))) => 51.64/7.19 (X2 @ Y0 @ Y1))))))))))), 51.64/7.19 define([status(thm)])). 51.64/7.19 thf(zip_derived_cl132, plain, 51.64/7.19 (![X2 : a > a > $o]: 51.64/7.19 (~ (((!!) @ (^[Y0 : a]: 51.64/7.19 ((((('#sk2' @ ('#sk338' @ X2) @ Y0) | ('#sk1' @ 51.64/7.19 ('#sk338' @ X2) @ Y0))) => 51.64/7.19 (X2 @ ('#sk338' @ X2) @ Y0)))))) 51.64/7.19 | ('#form337' @ X2))), 51.64/7.19 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl131])). 51.64/7.19 thf(zip_derived_cl147, plain, 51.64/7.19 (![X2 : a > a > $o]: 51.64/7.19 (~ ((((('#sk2' @ ('#sk338' @ X2) @ ('#sk436' @ X2)) | ('#sk1' @ 51.64/7.19 ('#sk338' @ X2) @ ('#sk436' @ X2)))) => 51.64/7.19 (X2 @ ('#sk338' @ X2) @ ('#sk436' @ X2)))) 51.64/7.19 | ('#form337' @ X2))), 51.64/7.19 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl132])). 51.64/7.19 thf(zip_derived_cl163, plain, 51.64/7.19 (![X2 : a > a > $o]: 51.64/7.19 ( ((('#sk2' @ ('#sk338' @ X2) @ ('#sk436' @ X2)) | ('#sk1' @ 51.64/7.19 ('#sk338' @ X2) @ ('#sk436' @ X2)))) 51.64/7.19 | ('#form337' @ X2))), 51.64/7.19 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl147])). 51.64/7.19 thf(zip_derived_cl171, plain, 51.64/7.19 (![X2 : a > a > $o]: 51.64/7.19 ( ('#sk2' @ ('#sk338' @ X2) @ ('#sk436' @ X2)) 51.64/7.19 | ('#sk1' @ ('#sk338' @ X2) @ ('#sk436' @ X2)) 51.64/7.19 | ('#form337' @ X2))), 51.64/7.19 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl163])). 51.64/7.19 thf(zip_derived_cl164, plain, 51.64/7.19 (![X2 : a > a > $o]: 51.64/7.19 (~ (X2 @ ('#sk338' @ X2) @ ('#sk436' @ X2)) | ('#form337' @ X2))), 51.64/7.19 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl147])). 51.64/7.19 thf(zip_derived_cl61, plain, 51.64/7.19 (( (((((!!) @ (^[Y0 : a]: 51.64/7.19 (((!!) @ (^[Y1 : a]: 51.64/7.19 (((!!) @ (^[Y2 : a]: 51.64/7.19 ((((('#sk21' @ Y1 @ Y2) & 51.64/7.19 ('#sk21' @ Y0 @ Y1))) => 51.64/7.19 ('#sk21' @ Y0 @ Y2)))))))))))) & 51.64/7.19 (((!!) @ (^[Y0 : a]: 51.64/7.19 (((!!) @ (^[Y1 : a]: 51.64/7.19 ((((('#sk1' @ Y0 @ Y1) | ('#sk2' @ Y0 @ Y1))) => 51.64/7.19 ('#sk21' @ Y0 @ Y1))))))))))) 51.64/7.19 | ('#form11') 51.64/7.19 | ~ ('#form9'))), 51.64/7.19 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl47])). 51.64/7.19 thf(zip_derived_cl71, plain, 51.64/7.19 (( (((!!) @ (^[Y0 : a]: 51.64/7.19 (((!!) @ (^[Y1 : a]: 51.64/7.19 (((!!) @ (^[Y2 : a]: 51.64/7.19 ((((('#sk21' @ Y1 @ Y2) & 51.64/7.19 ('#sk21' @ Y0 @ Y1))) => 51.64/7.19 ('#sk21' @ Y0 @ Y2)))))))))))) 51.64/7.19 | ~ ('#form9') 51.64/7.19 | ('#form11'))), 51.64/7.19 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl61])). 51.64/7.19 thf(zip_derived_cl84, plain, 51.64/7.19 (![X2 : a]: 51.64/7.19 ( (((!!) @ (^[Y0 : a]: 51.64/7.19 (((!!) @ (^[Y1 : a]: 51.64/7.19 ((((('#sk21' @ Y0 @ Y1) & ('#sk21' @ X2 @ 51.64/7.19 Y0))) => 51.64/7.19 ('#sk21' @ X2 @ Y1))))))))) 51.64/7.19 | ('#form11') 51.64/7.19 | ~ ('#form9'))), 51.64/7.19 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl71])). 51.64/7.19 thf(zip_derived_cl100, plain, 51.64/7.19 (![X2 : a, X4 : a]: 51.64/7.19 ( (((!!) @ (^[Y0 : a]: 51.64/7.19 ((((('#sk21' @ X4 @ Y0) & ('#sk21' @ X2 @ X4))) => 51.64/7.19 ('#sk21' @ X2 @ Y0)))))) 51.64/7.19 | ~ ('#form9') 51.64/7.19 | ('#form11'))), 51.64/7.19 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl84])). 51.64/7.19 thf(zip_derived_cl110, plain, 51.64/7.19 (![X2 : a, X4 : a, X6 : a]: 51.64/7.19 ( ((((('#sk21' @ X4 @ X6) & ('#sk21' @ X2 @ X4))) => ('#sk21' @ X2 @ 51.64/7.19 X6))) 51.64/7.19 | ('#form11') 51.64/7.19 | ~ ('#form9'))), 51.64/7.19 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl100])). 51.64/7.19 thf(zip_derived_cl120, plain, 51.64/7.19 (![X2 : a, X4 : a, X6 : a]: 51.64/7.19 (~ ((('#sk21' @ X4 @ X6) & ('#sk21' @ X2 @ X4))) 51.64/7.19 | ('#sk21' @ X2 @ X6) 51.64/7.19 | ~ ('#form9') 51.64/7.19 | ('#form11'))), 51.64/7.19 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl110])). 51.64/7.19 thf(zip_derived_cl134, plain, 51.64/7.19 (![X2 : a, X4 : a, X6 : a]: 51.64/7.19 (~ ('#sk21' @ X4 @ X6) 51.64/7.19 | ~ ('#sk21' @ X2 @ X4) 51.64/7.19 | ('#form11') 51.64/7.19 | ~ ('#form9') 51.64/7.19 | ('#sk21' @ X2 @ X6))), 51.64/7.19 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl120])). 51.64/7.19 thf(zip_derived_cl72, plain, 51.64/7.19 (( (((!!) @ (^[Y0 : a]: 51.64/7.19 (((!!) @ (^[Y1 : a]: 51.64/7.19 ((((('#sk1' @ Y0 @ Y1) | ('#sk2' @ Y0 @ Y1))) => 51.64/7.19 ('#sk21' @ Y0 @ Y1))))))))) 51.64/7.19 | ~ ('#form9') 51.64/7.19 | ('#form11'))), 51.64/7.19 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl61])). 51.64/7.19 thf(zip_derived_cl85, plain, 51.64/7.19 (![X2 : a]: 51.64/7.19 ( (((!!) @ (^[Y0 : a]: 51.64/7.19 ((((('#sk1' @ X2 @ Y0) | ('#sk2' @ X2 @ Y0))) => 51.64/7.19 ('#sk21' @ X2 @ Y0)))))) 51.64/7.19 | ('#form11') 51.64/7.19 | ~ ('#form9'))), 51.64/7.19 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl72])). 51.64/7.19 thf(zip_derived_cl101, plain, 51.64/7.19 (![X2 : a, X4 : a]: 51.64/7.19 ( ((((('#sk1' @ X2 @ X4) | ('#sk2' @ X2 @ X4))) => ('#sk21' @ X2 @ X4))) 51.64/7.19 | ~ ('#form9') 51.64/7.19 | ('#form11'))), 51.64/7.19 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl85])). 51.64/7.19 thf(zip_derived_cl111, plain, 51.64/7.19 (![X2 : a, X4 : a]: 51.64/7.19 (~ ((('#sk1' @ X2 @ X4) | ('#sk2' @ X2 @ X4))) 51.64/7.19 | ('#sk21' @ X2 @ X4) 51.64/7.19 | ('#form11') 51.64/7.19 | ~ ('#form9'))), 51.64/7.19 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl101])). 51.64/7.19 thf(zip_derived_cl122, plain, 51.64/7.19 (![X2 : a, X4 : a]: 51.64/7.19 (~ ('#sk2' @ X2 @ X4) 51.64/7.19 | ~ ('#form9') 51.64/7.19 | ('#form11') 51.64/7.19 | ('#sk21' @ X2 @ X4))), 51.64/7.19 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl111])). 51.64/7.19 thf(zip_derived_cl121, plain, 51.64/7.19 (![X2 : a, X4 : a]: 51.64/7.19 (~ ('#sk1' @ X2 @ X4) 51.64/7.19 | ~ ('#form9') 51.64/7.19 | ('#form11') 51.64/7.19 | ('#sk21' @ X2 @ X4))), 51.64/7.19 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl111])). 51.64/7.19 thf(zip_derived_cl86, plain, 51.64/7.19 ((~ ('#form94') 51.64/7.19 | (((!!) @ (^[Y0 : a > a > $o]: 51.64/7.19 (((((((!!) @ (^[Y1 : a]: 51.64/7.19 (((!!) @ (^[Y2 : a]: 51.64/7.19 ((('#sk2' @ Y1 @ Y2) => 51.64/7.19 (Y0 @ Y1 @ Y2))))))))) & 51.64/7.19 (((!!) @ (^[Y1 : a]: 51.64/7.19 (((!!) @ (^[Y2 : a]: 51.64/7.19 (((!!) @ (^[Y3 : a]: 51.64/7.19 (((((Y0 @ Y2 @ 51.64/7.19 Y3) & (Y0 @ 51.64/7.19 Y1 @ Y2))) => 51.64/7.19 (Y0 @ Y1 @ Y3)))))))))))))) => 51.64/7.19 (Y0 @ '#sk10' @ '#sk12')))))))), 51.64/7.19 define([status(thm)])). 51.64/7.19 thf(zip_derived_cl87, plain, 51.64/7.19 (![X2 : a > a > $o]: 51.64/7.19 ( (((((((!!) @ (^[Y0 : a]: 51.64/7.19 (((!!) @ (^[Y1 : a]: 51.64/7.19 ((('#sk2' @ Y0 @ Y1) => (X2 @ Y0 @ Y1))))))))) & 51.64/7.19 (((!!) @ (^[Y0 : a]: 51.64/7.19 (((!!) @ (^[Y1 : a]: 51.64/7.19 (((!!) @ (^[Y2 : a]: 51.64/7.19 (((((X2 @ Y1 @ Y2) & (X2 @ 51.64/7.19 Y0 @ Y1))) => 51.64/7.19 (X2 @ Y0 @ Y2)))))))))))))) => 51.64/7.19 (X2 @ '#sk10' @ '#sk12'))) 51.64/7.19 | ~ ('#form94'))), 51.64/7.19 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl86])). 51.64/7.19 thf(zip_derived_cl103, plain, 51.64/7.19 (![X2 : a > a > $o]: 51.64/7.19 (~ (((((!!) @ (^[Y0 : a]: 51.64/7.19 (((!!) @ (^[Y1 : a]: 51.64/7.19 ((('#sk2' @ Y0 @ Y1) => (X2 @ Y0 @ Y1))))))))) & 51.64/7.19 (((!!) @ (^[Y0 : a]: 51.64/7.19 (((!!) @ (^[Y1 : a]: 51.64/7.19 (((!!) @ (^[Y2 : a]: 51.64/7.19 (((((X2 @ Y1 @ Y2) & (X2 @ 51.64/7.19 Y0 @ Y1))) => 51.64/7.19 (X2 @ Y0 @ Y2)))))))))))))) 51.64/7.19 | (X2 @ '#sk10' @ '#sk12') 51.64/7.19 | ~ ('#form94'))), 51.64/7.19 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl87])). 51.64/7.19 thf(zip_derived_cl113, plain, 51.64/7.19 (![X2 : a > a > $o]: 51.64/7.19 (~ (((!!) @ (^[Y0 : a]: 51.64/7.19 (((!!) @ (^[Y1 : a]: 51.64/7.19 ((('#sk2' @ Y0 @ Y1) => (X2 @ Y0 @ Y1))))))))) 51.64/7.19 | ~ (((!!) @ (^[Y0 : a]: 51.64/7.19 (((!!) @ (^[Y1 : a]: 51.64/7.19 (((!!) @ (^[Y2 : a]: 51.64/7.19 (((((X2 @ Y1 @ Y2) & (X2 @ 51.64/7.19 Y0 @ Y1))) => 51.64/7.19 (X2 @ Y0 @ Y2)))))))))))) 51.64/7.19 | ~ ('#form94') 51.64/7.19 | (X2 @ '#sk10' @ '#sk12'))), 51.64/7.19 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl103])). 51.64/7.19 thf(zip_derived_cl124, plain, 51.64/7.19 (![X2 : a > a > $o]: 51.64/7.19 (~ (((!!) @ (^[Y0 : a]: 51.64/7.19 ((('#sk2' @ ('#sk277' @ X2) @ Y0) => (X2 @ 51.64/7.19 ('#sk277' @ X2) @ Y0)))))) 51.64/7.19 | (X2 @ '#sk10' @ '#sk12') 51.64/7.19 | ~ ('#form94') 51.64/7.19 | ~ (((!!) @ (^[Y0 : a]: 51.64/7.19 (((!!) @ (^[Y1 : a]: 51.64/7.19 (((!!) @ (^[Y2 : a]: 51.64/7.19 (((((X2 @ Y1 @ Y2) & (X2 @ 51.64/7.19 Y0 @ Y1))) => 51.64/7.19 (X2 @ Y0 @ Y2)))))))))))))), 51.64/7.19 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl113])). 51.64/7.19 thf(zip_derived_cl136, plain, 51.64/7.19 (![X2 : a > a > $o]: 51.64/7.19 (~ ((('#sk2' @ ('#sk277' @ X2) @ ('#sk362' @ X2)) => (X2 @ 51.64/7.19 ('#sk277' @ X2) @ ('#sk362' @ X2)))) 51.64/7.19 | ~ (((!!) @ (^[Y0 : a]: 51.64/7.19 (((!!) @ (^[Y1 : a]: 51.64/7.19 (((!!) @ (^[Y2 : a]: 51.64/7.19 (((((X2 @ Y1 @ Y2) & (X2 @ 51.64/7.19 Y0 @ Y1))) => 51.64/7.19 (X2 @ Y0 @ Y2)))))))))))) 51.64/7.19 | ~ ('#form94') 51.64/7.19 | (X2 @ '#sk10' @ '#sk12'))), 51.64/7.19 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl124])). 51.64/7.19 thf(zip_derived_cl151, plain, 51.64/7.19 (![X2 : a > a > $o]: 51.64/7.19 (~ (X2 @ ('#sk277' @ X2) @ ('#sk362' @ X2)) 51.64/7.19 | (X2 @ '#sk10' @ '#sk12') 51.64/7.19 | ~ ('#form94') 51.64/7.19 | ~ (((!!) @ (^[Y0 : a]: 51.64/7.19 (((!!) @ (^[Y1 : a]: 51.64/7.19 (((!!) @ (^[Y2 : a]: 51.64/7.19 (((((X2 @ Y1 @ Y2) & (X2 @ 51.64/7.19 Y0 @ Y1))) => 51.64/7.19 (X2 @ Y0 @ Y2)))))))))))))), 51.64/7.19 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl136])). 51.64/7.19 thf(zip_derived_cl168, plain, 51.64/7.19 (![X2 : a > a > $o]: 51.64/7.19 (~ (((!!) @ (^[Y0 : a]: 51.64/7.19 (((!!) @ (^[Y1 : a]: 51.64/7.19 (((((X2 @ Y0 @ Y1) & (X2 @ 51.64/7.19 ('#sk181' @ X2) @ Y0))) => 51.64/7.19 (X2 @ ('#sk181' @ X2) @ Y1))))))))) 51.64/7.19 | ~ ('#form94') 51.64/7.19 | (X2 @ '#sk10' @ '#sk12') 51.64/7.19 | ~ (X2 @ ('#sk277' @ X2) @ ('#sk362' @ X2)))), 51.64/7.19 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl151])). 51.64/7.19 thf(zip_derived_cl175, plain, 51.64/7.19 (![X2 : a > a > $o]: 51.64/7.19 (~ (((!!) @ (^[Y0 : a]: 51.64/7.19 (((((X2 @ ('#sk247' @ X2) @ Y0) & (X2 @ 51.64/7.19 ('#sk181' @ X2) @ ('#sk247' @ X2)))) => 51.64/7.19 (X2 @ ('#sk181' @ X2) @ Y0)))))) 51.64/7.19 | ~ (X2 @ ('#sk277' @ X2) @ ('#sk362' @ X2)) 51.64/7.19 | (X2 @ '#sk10' @ '#sk12') 51.64/7.19 | ~ ('#form94'))), 51.64/7.19 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl168])). 51.64/7.19 thf(zip_derived_cl179, plain, 51.64/7.19 (![X2 : a > a > $o]: 51.64/7.19 (~ (((((X2 @ ('#sk247' @ X2) @ ('#sk322' @ X2)) & (X2 @ 51.64/7.19 ('#sk181' @ X2) @ ('#sk247' @ X2)))) => 51.64/7.19 (X2 @ ('#sk181' @ X2) @ ('#sk322' @ X2)))) 51.64/7.19 | ~ ('#form94') 51.64/7.19 | (X2 @ '#sk10' @ '#sk12') 51.64/7.19 | ~ (X2 @ ('#sk277' @ X2) @ ('#sk362' @ X2)))), 51.64/7.19 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl175])). 51.64/7.19 thf(zip_derived_cl188, plain, 51.64/7.19 (![X2 : a > a > $o]: 51.64/7.19 (~ (X2 @ ('#sk181' @ X2) @ ('#sk322' @ X2)) 51.64/7.19 | ~ (X2 @ ('#sk277' @ X2) @ ('#sk362' @ X2)) 51.64/7.19 | (X2 @ '#sk10' @ '#sk12') 51.64/7.19 | ~ ('#form94'))), 51.64/7.19 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl179])). 51.64/7.19 thf(zip_derived_cl150, plain, 51.64/7.19 (![X2 : a > a > $o]: 51.64/7.19 ( ('#sk2' @ ('#sk277' @ X2) @ ('#sk362' @ X2)) 51.64/7.19 | (X2 @ '#sk10' @ '#sk12') 51.64/7.19 | ~ ('#form94') 51.64/7.19 | ~ (((!!) @ (^[Y0 : a]: 51.64/7.19 (((!!) @ (^[Y1 : a]: 51.64/7.19 (((!!) @ (^[Y2 : a]: 51.64/7.19 (((((X2 @ Y1 @ Y2) & (X2 @ 51.64/7.19 Y0 @ Y1))) => 51.64/7.19 (X2 @ Y0 @ Y2)))))))))))))), 51.64/7.19 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl136])). 51.64/7.19 thf(zip_derived_cl167, plain, 51.64/7.19 (![X2 : a > a > $o]: 51.64/7.19 (~ (((!!) @ (^[Y0 : a]: 51.64/7.19 (((!!) @ (^[Y1 : a]: 51.64/7.19 (((((X2 @ Y0 @ Y1) & (X2 @ 51.64/7.19 ('#sk181' @ X2) @ Y0))) => 51.64/7.19 (X2 @ ('#sk181' @ X2) @ Y1))))))))) 51.64/7.19 | ~ ('#form94') 51.64/7.19 | (X2 @ '#sk10' @ '#sk12') 51.64/7.19 | ('#sk2' @ ('#sk277' @ X2) @ ('#sk362' @ X2)))), 51.64/7.19 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl150])). 51.64/7.19 thf(zip_derived_cl174, plain, 51.64/7.19 (![X2 : a > a > $o]: 51.64/7.19 (~ (((!!) @ (^[Y0 : a]: 51.64/7.19 (((((X2 @ ('#sk247' @ X2) @ Y0) & (X2 @ 51.64/7.19 ('#sk181' @ X2) @ ('#sk247' @ X2)))) => 51.64/7.19 (X2 @ ('#sk181' @ X2) @ Y0)))))) 51.64/7.19 | ('#sk2' @ ('#sk277' @ X2) @ ('#sk362' @ X2)) 51.64/7.19 | (X2 @ '#sk10' @ '#sk12') 51.64/7.19 | ~ ('#form94'))), 51.64/7.19 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl167])). 51.64/7.19 thf(zip_derived_cl178, plain, 51.64/7.19 (![X2 : a > a > $o]: 51.64/7.19 (~ (((((X2 @ ('#sk247' @ X2) @ ('#sk322' @ X2)) & (X2 @ 51.64/7.19 ('#sk181' @ X2) @ ('#sk247' @ X2)))) => 51.64/7.19 (X2 @ ('#sk181' @ X2) @ ('#sk322' @ X2)))) 51.64/7.19 | ~ ('#form94') 51.64/7.19 | (X2 @ '#sk10' @ '#sk12') 51.64/7.19 | ('#sk2' @ ('#sk277' @ X2) @ ('#sk362' @ X2)))), 51.64/7.19 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl174])). 51.64/7.19 thf(zip_derived_cl186, plain, 51.64/7.19 (![X2 : a > a > $o]: 51.64/7.19 (~ (X2 @ ('#sk181' @ X2) @ ('#sk322' @ X2)) 51.64/7.19 | ('#sk2' @ ('#sk277' @ X2) @ ('#sk362' @ X2)) 51.64/7.19 | (X2 @ '#sk10' @ '#sk12') 51.64/7.19 | ~ ('#form94'))), 51.64/7.19 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl178])). 51.64/7.19 thf(zip_derived_cl49, plain, 51.64/7.19 ((~ (((!!) @ (^[Y0 : a > a > $o]: 51.64/7.19 (((((((!!) @ (^[Y1 : a]: 51.64/7.19 (((!!) @ (^[Y2 : a]: 51.64/7.19 ((((('#sk1' @ Y1 @ Y2) | 51.64/7.19 ('#sk2' @ Y1 @ Y2))) => 51.64/7.19 (Y0 @ Y1 @ Y2))))))))) & 51.64/7.19 (((!!) @ (^[Y1 : a]: 51.64/7.19 (((!!) @ (^[Y2 : a]: 51.64/7.19 (((!!) @ (^[Y3 : a]: 51.64/7.19 (((((Y0 @ Y1 @ 51.64/7.19 Y2) & (Y0 @ 51.64/7.19 Y2 @ Y3))) => 51.64/7.19 (Y0 @ Y1 @ Y3)))))))))))))) => 51.64/7.19 (Y0 @ '#sk10' @ '#sk12')))))) 51.64/7.19 | ('#form9'))), 51.64/7.19 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl41])). 51.64/7.19 thf(zip_derived_cl67, plain, 51.64/7.19 ((~ (((((((!!) @ (^[Y0 : a]: 51.64/7.19 (((!!) @ (^[Y1 : a]: 51.64/7.19 ((((('#sk1' @ Y0 @ Y1) | ('#sk2' @ Y0 @ 51.64/7.19 Y1))) => 51.64/7.19 ('#sk30' @ Y0 @ Y1))))))))) & 51.64/7.19 (((!!) @ (^[Y0 : a]: 51.64/7.19 (((!!) @ (^[Y1 : a]: 51.64/7.19 (((!!) @ (^[Y2 : a]: 51.64/7.19 ((((('#sk30' @ Y0 @ Y1) & 51.64/7.19 ('#sk30' @ Y1 @ Y2))) => 51.64/7.19 ('#sk30' @ Y0 @ Y2)))))))))))))) => 51.64/7.19 ('#sk30' @ '#sk10' @ '#sk12'))) 51.64/7.19 | ('#form9'))), 51.64/7.19 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl49])). 51.64/7.19 thf(zip_derived_cl80, plain, 51.64/7.19 ((~ ('#sk30' @ '#sk10' @ '#sk12') | ('#form9'))), 51.64/7.19 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl67])). 51.64/7.19 thf(zip_derived_cl187, plain, 51.64/7.19 (![X2 : a > a > $o]: 51.64/7.19 ( (((X2 @ ('#sk247' @ X2) @ ('#sk322' @ X2)) & (X2 @ 51.64/7.19 ('#sk181' @ X2) @ ('#sk247' @ X2)))) 51.64/7.19 | ~ (X2 @ ('#sk277' @ X2) @ ('#sk362' @ X2)) 51.64/7.19 | (X2 @ '#sk10' @ '#sk12') 51.64/7.19 | ~ ('#form94'))), 51.64/7.19 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl179])). 51.64/7.19 thf(zip_derived_cl194, plain, 51.64/7.19 (![X2 : a > a > $o]: 51.64/7.19 ( (X2 @ ('#sk181' @ X2) @ ('#sk247' @ X2)) 51.64/7.19 | ~ ('#form94') 51.64/7.19 | (X2 @ '#sk10' @ '#sk12') 51.64/7.19 | ~ (X2 @ ('#sk277' @ X2) @ ('#sk362' @ X2)))), 51.64/7.19 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl187])). 51.64/7.19 thf(zip_derived_cl185, plain, 51.64/7.19 (![X2 : a > a > $o]: 51.64/7.19 ( (((X2 @ ('#sk247' @ X2) @ ('#sk322' @ X2)) & (X2 @ 51.64/7.19 ('#sk181' @ X2) @ ('#sk247' @ X2)))) 51.64/7.19 | ('#sk2' @ ('#sk277' @ X2) @ ('#sk362' @ X2)) 51.64/7.19 | (X2 @ '#sk10' @ '#sk12') 51.64/7.19 | ~ ('#form94'))), 51.64/7.19 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl178])). 51.64/7.19 thf(zip_derived_cl192, plain, 51.64/7.19 (![X2 : a > a > $o]: 51.64/7.19 ( (X2 @ ('#sk181' @ X2) @ ('#sk247' @ X2)) 51.64/7.19 | ~ ('#form94') 51.64/7.19 | (X2 @ '#sk10' @ '#sk12') 51.64/7.19 | ('#sk2' @ ('#sk277' @ X2) @ ('#sk362' @ X2)))), 51.64/7.19 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl185])). 51.64/7.19 thf(zip_derived_cl79, plain, 51.64/7.19 (( (((((!!) @ (^[Y0 : a]: 51.64/7.19 (((!!) @ (^[Y1 : a]: 51.64/7.19 ((((('#sk1' @ Y0 @ Y1) | ('#sk2' @ Y0 @ Y1))) => 51.64/7.19 ('#sk30' @ Y0 @ Y1))))))))) & 51.64/7.19 (((!!) @ (^[Y0 : a]: 51.64/7.19 (((!!) @ (^[Y1 : a]: 51.64/7.19 (((!!) @ (^[Y2 : a]: 51.64/7.19 ((((('#sk30' @ Y0 @ Y1) & 51.64/7.19 ('#sk30' @ Y1 @ Y2))) => 51.64/7.19 ('#sk30' @ Y0 @ Y2)))))))))))))) 51.64/7.19 | ('#form9'))), 51.64/7.19 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl67])). 51.64/7.19 thf(zip_derived_cl94, plain, 51.64/7.19 (( (((!!) @ (^[Y0 : a]: 51.64/7.19 (((!!) @ (^[Y1 : a]: 51.64/7.19 ((((('#sk1' @ Y0 @ Y1) | ('#sk2' @ Y0 @ Y1))) => 51.64/7.19 ('#sk30' @ Y0 @ Y1))))))))) 51.64/7.19 | ('#form9'))), 51.64/7.19 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl79])). 51.64/7.19 thf(zip_derived_cl104, plain, 51.64/7.19 (![X2 : a]: 51.64/7.19 ( (((!!) @ (^[Y0 : a]: 51.64/7.19 ((((('#sk1' @ X2 @ Y0) | ('#sk2' @ X2 @ Y0))) => 51.64/7.19 ('#sk30' @ X2 @ Y0)))))) 51.64/7.19 | ('#form9'))), 51.64/7.19 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl94])). 51.64/7.19 thf(zip_derived_cl114, plain, 51.64/7.19 (![X2 : a, X4 : a]: 51.64/7.19 ( ((((('#sk1' @ X2 @ X4) | ('#sk2' @ X2 @ X4))) => ('#sk30' @ X2 @ X4))) 51.64/7.19 | ('#form9'))), 51.64/7.19 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl104])). 51.64/7.19 thf(zip_derived_cl125, plain, 51.64/7.19 (![X2 : a, X4 : a]: 51.64/7.19 (~ ((('#sk1' @ X2 @ X4) | ('#sk2' @ X2 @ X4))) 51.64/7.19 | ('#sk30' @ X2 @ X4) 51.64/7.19 | ('#form9'))), 51.64/7.19 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl114])). 51.64/7.19 thf(zip_derived_cl138, plain, 51.64/7.19 (![X2 : a, X4 : a]: 51.64/7.19 (~ ('#sk2' @ X2 @ X4) | ('#form9') | ('#sk30' @ X2 @ X4))), 51.64/7.19 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl125])). 51.64/7.19 thf(zip_derived_cl193, plain, 51.64/7.19 (![X2 : a > a > $o]: 51.64/7.19 ( (X2 @ ('#sk247' @ X2) @ ('#sk322' @ X2)) 51.64/7.19 | ~ ('#form94') 51.64/7.19 | (X2 @ '#sk10' @ '#sk12') 51.64/7.19 | ~ (X2 @ ('#sk277' @ X2) @ ('#sk362' @ X2)))), 51.64/7.19 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl187])). 51.64/7.19 thf(zip_derived_cl191, plain, 51.64/7.19 (![X2 : a > a > $o]: 51.64/7.19 ( (X2 @ ('#sk247' @ X2) @ ('#sk322' @ X2)) 51.64/7.19 | ~ ('#form94') 51.64/7.19 | (X2 @ '#sk10' @ '#sk12') 51.64/7.19 | ('#sk2' @ ('#sk277' @ X2) @ ('#sk362' @ X2)))), 51.64/7.19 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl185])). 51.64/7.19 thf(zip_derived_cl73, plain, 51.64/7.19 (![X2 : a > a > $o]: 51.64/7.19 ( (((((((!!) @ (^[Y0 : a]: 51.64/7.19 (((!!) @ (^[Y1 : a]: 51.64/7.19 ((('#sk1' @ Y0 @ Y1) => (X2 @ Y0 @ Y1))))))))) & 51.64/7.19 (((!!) @ (^[Y0 : a]: 51.64/7.19 (((!!) @ (^[Y1 : a]: 51.64/7.19 (((!!) @ (^[Y2 : a]: 51.64/7.19 (((((X2 @ Y0 @ Y1) & (X2 @ 51.64/7.19 Y1 @ Y2))) => 51.64/7.19 (X2 @ Y0 @ Y2)))))))))))))) => 51.64/7.19 (X2 @ '#sk10' @ '#sk12'))) 51.64/7.19 | ('#form9') 51.64/7.19 | (((!!) @ (^[Y0 : a > a > $o]: 51.64/7.19 (((((((!!) @ (^[Y1 : a]: 51.64/7.19 (((!!) @ (^[Y2 : a]: 51.64/7.19 ((('#sk2' @ Y1 @ Y2) => 51.64/7.19 (Y0 @ Y1 @ Y2))))))))) & 51.64/7.19 (((!!) @ (^[Y1 : a]: 51.64/7.19 (((!!) @ (^[Y2 : a]: 51.64/7.19 (((!!) @ (^[Y3 : a]: 51.64/7.19 (((((Y0 @ 51.64/7.19 Y2 @ Y3) & 51.64/7.19 (Y0 @ 51.64/7.19 Y1 @ Y2))) => 51.64/7.19 (Y0 @ Y1 @ 51.64/7.19 Y3)))))))))))))) => 51.64/7.19 (Y0 @ '#sk10' @ '#sk12')))))))), 51.64/7.19 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl63])). 51.64/7.19 thf(zip_derived_cl74, plain, 51.64/7.19 (( (((((((!!) @ (^[Y0 : a]: 51.64/7.19 (((!!) @ (^[Y1 : a]: 51.64/7.19 ((('#sk1' @ Y0 @ Y1) => ('#sk30' @ Y0 @ 51.64/7.19 Y1))))))))) & 51.64/7.19 (((!!) @ (^[Y0 : a]: 51.64/7.19 (((!!) @ (^[Y1 : a]: 51.64/7.19 (((!!) @ (^[Y2 : a]: 51.64/7.19 ((((('#sk30' @ Y0 @ Y1) & 51.64/7.19 ('#sk30' @ Y1 @ Y2))) => 51.64/7.19 ('#sk30' @ Y0 @ Y2)))))))))))))) => 51.64/7.19 ('#sk30' @ '#sk10' @ '#sk12'))) 51.64/7.19 | ('#form9') 51.64/7.19 | (((!!) @ (^[Y0 : a > a > $o]: 51.64/7.19 (((((((!!) @ (^[Y1 : a]: 51.64/7.19 (((!!) @ (^[Y2 : a]: 51.64/7.19 ((('#sk2' @ Y1 @ Y2) => 51.64/7.19 (Y0 @ Y1 @ Y2))))))))) & 51.64/7.19 (((!!) @ (^[Y1 : a]: 51.64/7.19 (((!!) @ (^[Y2 : a]: 51.64/7.19 (((!!) @ (^[Y3 : a]: 51.64/7.19 (((((Y0 @ Y2 @ 51.64/7.19 Y3) & (Y0 @ 51.64/7.19 Y1 @ Y2))) => 51.64/7.19 (Y0 @ Y1 @ Y3)))))))))))))) => 51.64/7.19 (Y0 @ '#sk10' @ '#sk12')))))))), 51.64/7.19 inference('triggered_bool_instantiation', [status(thm)], 51.64/7.19 [zip_derived_cl73])). 51.64/7.19 thf(zip_derived_cl86, plain, 51.64/7.19 ((~ ('#form94') 51.64/7.19 | (((!!) @ (^[Y0 : a > a > $o]: 51.64/7.19 (((((((!!) @ (^[Y1 : a]: 51.64/7.19 (((!!) @ (^[Y2 : a]: 51.64/7.19 ((('#sk2' @ Y1 @ Y2) => 51.64/7.19 (Y0 @ Y1 @ Y2))))))))) & 51.64/7.19 (((!!) @ (^[Y1 : a]: 51.64/7.19 (((!!) @ (^[Y2 : a]: 51.64/7.19 (((!!) @ (^[Y3 : a]: 51.64/7.19 (((((Y0 @ Y2 @ 51.64/7.19 Y3) & (Y0 @ 51.64/7.19 Y1 @ Y2))) => 51.64/7.19 (Y0 @ Y1 @ Y3)))))))))))))) => 51.64/7.19 (Y0 @ '#sk10' @ '#sk12')))))))), 51.64/7.19 define([status(thm)])). 51.64/7.19 thf(zip_derived_cl446, plain, 51.64/7.19 (( ('#form94') 51.64/7.19 | ('#form9') 51.64/7.19 | (((((((!!) @ (^[Y0 : a]: 51.64/7.19 (((!!) @ (^[Y1 : a]: 51.64/7.19 ((('#sk1' @ Y0 @ Y1) => ('#sk30' @ Y0 @ 51.64/7.19 Y1))))))))) & 51.64/7.19 (((!!) @ (^[Y0 : a]: 51.64/7.19 (((!!) @ (^[Y1 : a]: 51.64/7.19 (((!!) @ (^[Y2 : a]: 51.64/7.19 ((((('#sk30' @ Y0 @ Y1) & 51.64/7.19 ('#sk30' @ Y1 @ Y2))) => 51.64/7.19 ('#sk30' @ Y0 @ Y2)))))))))))))) => 51.64/7.19 ('#sk30' @ '#sk10' @ '#sk12'))))), 51.64/7.19 inference('renaming', [status(thm)], [zip_derived_cl74, zip_derived_cl86])). 51.64/7.19 thf(zip_derived_cl447, plain, 51.64/7.19 ((~ (((((!!) @ (^[Y0 : a]: 51.64/7.19 (((!!) @ (^[Y1 : a]: 51.64/7.19 ((('#sk1' @ Y0 @ Y1) => ('#sk30' @ Y0 @ Y1))))))))) & 51.64/7.19 (((!!) @ (^[Y0 : a]: 51.64/7.19 (((!!) @ (^[Y1 : a]: 51.64/7.19 (((!!) @ (^[Y2 : a]: 51.64/7.19 ((((('#sk30' @ Y0 @ Y1) & 51.64/7.19 ('#sk30' @ Y1 @ Y2))) => 51.64/7.19 ('#sk30' @ Y0 @ Y2)))))))))))))) 51.64/7.19 | ('#sk30' @ '#sk10' @ '#sk12') 51.64/7.19 | ('#form9') 51.64/7.19 | ('#form94'))), 51.64/7.19 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl446])). 51.64/7.19 thf(zip_derived_cl80, plain, 51.64/7.19 ((~ ('#sk30' @ '#sk10' @ '#sk12') | ('#form9'))), 51.64/7.19 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl67])). 51.64/7.19 thf(zip_derived_cl448, plain, 51.64/7.19 (( ('#form94') 51.64/7.19 | ('#form9') 51.64/7.19 | ~ (((((!!) @ (^[Y0 : a]: 51.64/7.19 (((!!) @ (^[Y1 : a]: 51.64/7.19 ((('#sk1' @ Y0 @ Y1) => ('#sk30' @ Y0 @ 51.64/7.19 Y1))))))))) & 51.64/7.19 (((!!) @ (^[Y0 : a]: 51.64/7.19 (((!!) @ (^[Y1 : a]: 51.64/7.19 (((!!) @ (^[Y2 : a]: 51.64/7.19 ((((('#sk30' @ Y0 @ Y1) & 51.64/7.19 ('#sk30' @ Y1 @ Y2))) => 51.64/7.19 ('#sk30' @ Y0 @ Y2)))))))))))))))), 51.64/7.19 inference('clc', [status(thm)], [zip_derived_cl447, zip_derived_cl80])). 51.64/7.19 thf(zip_derived_cl449, plain, 51.64/7.19 ((~ (((!!) @ (^[Y0 : a]: 51.64/7.19 (((!!) @ (^[Y1 : a]: 51.64/7.19 ((('#sk1' @ Y0 @ Y1) => ('#sk30' @ Y0 @ Y1))))))))) 51.64/7.19 | ~ (((!!) @ (^[Y0 : a]: 51.64/7.19 (((!!) @ (^[Y1 : a]: 51.64/7.19 (((!!) @ (^[Y2 : a]: 51.64/7.19 ((((('#sk30' @ Y0 @ Y1) & 51.64/7.19 ('#sk30' @ Y1 @ Y2))) => 51.64/7.19 ('#sk30' @ Y0 @ Y2)))))))))))) 51.64/7.19 | ('#form9') 51.64/7.19 | ('#form94'))), 51.64/7.19 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl448])). 51.64/7.19 thf(zip_derived_cl450, plain, 51.64/7.19 ((~ (((!!) @ (^[Y0 : a]: 51.64/7.19 ((('#sk1' @ ('#sk268' @ '#sk30') @ Y0) => ('#sk30' @ 51.64/7.19 ('#sk268' @ '#sk30') @ Y0)))))) 51.64/7.19 | ('#form94') 51.64/7.19 | ('#form9') 51.64/7.19 | ~ (((!!) @ (^[Y0 : a]: 51.64/7.19 (((!!) @ (^[Y1 : a]: 51.64/7.19 (((!!) @ (^[Y2 : a]: 51.64/7.19 ((((('#sk30' @ Y0 @ Y1) & 51.64/7.19 ('#sk30' @ Y1 @ Y2))) => 51.64/7.19 ('#sk30' @ Y0 @ Y2)))))))))))))), 51.64/7.19 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl449])). 51.64/7.19 thf(zip_derived_cl451, plain, 51.64/7.19 ((~ ((('#sk1' @ ('#sk268' @ '#sk30') @ ('#sk350' @ '#sk30')) => 51.64/7.19 ('#sk30' @ ('#sk268' @ '#sk30') @ ('#sk350' @ '#sk30')))) 51.64/7.19 | ~ (((!!) @ (^[Y0 : a]: 51.64/7.19 (((!!) @ (^[Y1 : a]: 51.64/7.19 (((!!) @ (^[Y2 : a]: 51.64/7.19 ((((('#sk30' @ Y0 @ Y1) & 51.64/7.19 ('#sk30' @ Y1 @ Y2))) => 51.64/7.19 ('#sk30' @ Y0 @ Y2)))))))))))) 51.64/7.19 | ('#form9') 51.64/7.19 | ('#form94'))), 51.64/7.19 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl450])). 51.64/7.19 thf(zip_derived_cl453, plain, 51.64/7.19 ((~ ('#sk30' @ ('#sk268' @ '#sk30') @ ('#sk350' @ '#sk30')) 51.64/7.19 | ('#form94') 51.64/7.19 | ('#form9') 51.64/7.19 | ~ (((!!) @ (^[Y0 : a]: 51.64/7.19 (((!!) @ (^[Y1 : a]: 51.64/7.19 (((!!) @ (^[Y2 : a]: 51.64/7.19 ((((('#sk30' @ Y0 @ Y1) & 51.64/7.19 ('#sk30' @ Y1 @ Y2))) => 51.64/7.19 ('#sk30' @ Y0 @ Y2)))))))))))))), 51.64/7.19 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl451])). 51.64/7.19 thf(zip_derived_cl455, plain, 51.64/7.19 ((~ (((!!) @ (^[Y0 : a]: 51.64/7.19 (((!!) @ (^[Y1 : a]: 51.64/7.19 ((((('#sk30' @ ('#sk103' @ '#sk30') @ Y0) & 51.64/7.19 ('#sk30' @ Y0 @ Y1))) => 51.64/7.19 ('#sk30' @ ('#sk103' @ '#sk30') @ Y1))))))))) 51.64/7.19 | ('#form9') 51.64/7.19 | ('#form94') 51.64/7.19 | ~ ('#sk30' @ ('#sk268' @ '#sk30') @ ('#sk350' @ '#sk30')))), 51.64/7.19 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl453])). 51.64/7.19 thf(zip_derived_cl457, plain, 51.64/7.19 ((~ (((!!) @ (^[Y0 : a]: 51.64/7.19 ((((('#sk30' @ ('#sk103' @ '#sk30') @ 51.64/7.19 ('#sk156' @ '#sk30')) & ('#sk30' @ 51.64/7.19 ('#sk156' @ '#sk30') @ Y0))) => 51.64/7.19 ('#sk30' @ ('#sk103' @ '#sk30') @ Y0)))))) 51.64/7.19 | ~ ('#sk30' @ ('#sk268' @ '#sk30') @ ('#sk350' @ '#sk30')) 51.64/7.19 | ('#form94') 51.64/7.19 | ('#form9'))), 51.64/7.19 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl455])). 51.64/7.19 thf(zip_derived_cl459, plain, 51.64/7.19 ((~ ((((('#sk30' @ ('#sk103' @ '#sk30') @ ('#sk156' @ '#sk30')) & 51.64/7.19 ('#sk30' @ ('#sk156' @ '#sk30') @ ('#sk220' @ '#sk30')))) => 51.64/7.19 ('#sk30' @ ('#sk103' @ '#sk30') @ ('#sk220' @ '#sk30')))) 51.64/7.19 | ('#form9') 51.64/7.19 | ('#form94') 51.64/7.19 | ~ ('#sk30' @ ('#sk268' @ '#sk30') @ ('#sk350' @ '#sk30')))), 51.64/7.19 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl457])). 51.64/7.19 thf(zip_derived_cl180, plain, 51.64/7.19 (![X2 : a > a > $o]: 51.64/7.19 ( ('#form845' @ X2) 51.64/7.19 | ~ (((((X2 @ ('#sk103' @ X2) @ ('#sk156' @ X2)) & (X2 @ 51.64/7.19 ('#sk156' @ X2) @ ('#sk220' @ X2)))) => 51.64/7.19 (X2 @ ('#sk103' @ X2) @ ('#sk220' @ X2)))))), 51.64/7.19 define([status(thm)])). 51.64/7.19 thf(zip_derived_cl461, plain, 51.64/7.19 ((~ ('#form845' @ '#sk30') 51.64/7.19 | ~ ('#sk30' @ ('#sk268' @ '#sk30') @ ('#sk350' @ '#sk30')) 51.64/7.19 | ('#form94') 51.64/7.19 | ('#form9'))), 51.64/7.19 inference('renaming', [status(thm)], 51.64/7.19 [zip_derived_cl459, zip_derived_cl180])). 51.64/7.19 thf(zip_derived_cl452, plain, 51.64/7.19 (( ('#sk1' @ ('#sk268' @ '#sk30') @ ('#sk350' @ '#sk30')) 51.64/7.19 | ('#form94') 51.64/7.19 | ('#form9') 51.64/7.19 | ~ (((!!) @ (^[Y0 : a]: 51.64/7.19 (((!!) @ (^[Y1 : a]: 51.64/7.19 (((!!) @ (^[Y2 : a]: 51.64/7.19 ((((('#sk30' @ Y0 @ Y1) & 51.64/7.19 ('#sk30' @ Y1 @ Y2))) => 51.64/7.19 ('#sk30' @ Y0 @ Y2)))))))))))))), 51.64/7.19 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl451])). 51.64/7.19 thf(zip_derived_cl454, plain, 51.64/7.19 ((~ (((!!) @ (^[Y0 : a]: 51.64/7.19 (((!!) @ (^[Y1 : a]: 51.64/7.19 ((((('#sk30' @ ('#sk103' @ '#sk30') @ Y0) & 51.64/7.19 ('#sk30' @ Y0 @ Y1))) => 51.64/7.19 ('#sk30' @ ('#sk103' @ '#sk30') @ Y1))))))))) 51.64/7.19 | ('#form9') 51.64/7.19 | ('#form94') 51.64/7.19 | ('#sk1' @ ('#sk268' @ '#sk30') @ ('#sk350' @ '#sk30')))), 51.64/7.19 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl452])). 51.64/7.19 thf(zip_derived_cl456, plain, 51.64/7.19 ((~ (((!!) @ (^[Y0 : a]: 51.64/7.19 ((((('#sk30' @ ('#sk103' @ '#sk30') @ 51.64/7.19 ('#sk156' @ '#sk30')) & ('#sk30' @ 51.64/7.19 ('#sk156' @ '#sk30') @ Y0))) => 51.64/7.19 ('#sk30' @ ('#sk103' @ '#sk30') @ Y0)))))) 51.64/7.19 | ('#sk1' @ ('#sk268' @ '#sk30') @ ('#sk350' @ '#sk30')) 51.64/7.19 | ('#form94') 51.64/7.19 | ('#form9'))), 51.64/7.19 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl454])). 51.64/7.19 thf(zip_derived_cl458, plain, 51.64/7.19 ((~ ((((('#sk30' @ ('#sk103' @ '#sk30') @ ('#sk156' @ '#sk30')) & 51.64/7.19 ('#sk30' @ ('#sk156' @ '#sk30') @ ('#sk220' @ '#sk30')))) => 51.64/7.19 ('#sk30' @ ('#sk103' @ '#sk30') @ ('#sk220' @ '#sk30')))) 51.64/7.19 | ('#form9') 51.64/7.19 | ('#form94') 51.64/7.19 | ('#sk1' @ ('#sk268' @ '#sk30') @ ('#sk350' @ '#sk30')))), 51.64/7.19 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl456])). 51.64/7.19 thf(zip_derived_cl180, plain, 51.64/7.19 (![X2 : a > a > $o]: 51.64/7.19 ( ('#form845' @ X2) 51.64/7.19 | ~ (((((X2 @ ('#sk103' @ X2) @ ('#sk156' @ X2)) & (X2 @ 51.64/7.19 ('#sk156' @ X2) @ ('#sk220' @ X2)))) => 51.64/7.19 (X2 @ ('#sk103' @ X2) @ ('#sk220' @ X2)))))), 51.64/7.19 define([status(thm)])). 51.64/7.19 thf(zip_derived_cl460, plain, 51.64/7.19 ((~ ('#form845' @ '#sk30') 51.64/7.19 | ('#sk1' @ ('#sk268' @ '#sk30') @ ('#sk350' @ '#sk30')) 51.64/7.19 | ('#form94') 51.64/7.19 | ('#form9'))), 51.64/7.19 inference('renaming', [status(thm)], 51.64/7.19 [zip_derived_cl458, zip_derived_cl180])). 51.64/7.19 thf(zip_derived_cl137, plain, 51.64/7.19 (![X2 : a, X4 : a]: 51.64/7.19 (~ ('#sk1' @ X2 @ X4) | ('#form9') | ('#sk30' @ X2 @ X4))), 51.64/7.19 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl125])). 51.64/7.19 thf(zip_derived_cl180, plain, 51.64/7.19 (![X2 : a > a > $o]: 51.64/7.19 ( ('#form845' @ X2) 51.64/7.19 | ~ (((((X2 @ ('#sk103' @ X2) @ ('#sk156' @ X2)) & (X2 @ 51.64/7.19 ('#sk156' @ X2) @ ('#sk220' @ X2)))) => 51.64/7.19 (X2 @ ('#sk103' @ X2) @ ('#sk220' @ X2)))))), 51.64/7.19 define([status(thm)])). 51.64/7.19 thf(zip_derived_cl181, plain, 51.64/7.19 (![X2 : a > a > $o]: 51.64/7.19 ( (((X2 @ ('#sk103' @ X2) @ ('#sk156' @ X2)) & (X2 @ 51.64/7.19 ('#sk156' @ X2) @ ('#sk220' @ X2)))) 51.64/7.19 | ('#form845' @ X2))), 51.64/7.19 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl180])). 51.64/7.19 thf(zip_derived_cl189, plain, 51.64/7.19 (![X2 : a > a > $o]: 51.64/7.19 ( (X2 @ ('#sk103' @ X2) @ ('#sk156' @ X2)) | ('#form845' @ X2))), 51.64/7.19 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl181])). 51.64/7.19 thf(zip_derived_cl182, plain, 51.64/7.19 (![X2 : a > a > $o]: 51.64/7.19 (~ (X2 @ ('#sk103' @ X2) @ ('#sk220' @ X2)) | ('#form845' @ X2))), 51.64/7.19 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl180])). 51.64/7.19 thf(zip_derived_cl190, plain, 51.64/7.19 (![X2 : a > a > $o]: 51.64/7.19 ( (X2 @ ('#sk156' @ X2) @ ('#sk220' @ X2)) | ('#form845' @ X2))), 51.64/7.19 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl181])). 51.64/7.19 thf(zip_derived_cl95, plain, 51.64/7.19 (( (((!!) @ (^[Y0 : a]: 51.64/7.19 (((!!) @ (^[Y1 : a]: 51.64/7.19 (((!!) @ (^[Y2 : a]: 51.64/7.19 ((((('#sk30' @ Y0 @ Y1) & 51.64/7.19 ('#sk30' @ Y1 @ Y2))) => 51.64/7.19 ('#sk30' @ Y0 @ Y2)))))))))))) 51.64/7.19 | ('#form9'))), 51.64/7.19 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl79])). 51.64/7.19 thf(zip_derived_cl105, plain, 51.64/7.19 (![X2 : a]: 51.64/7.19 ( (((!!) @ (^[Y0 : a]: 51.64/7.19 (((!!) @ (^[Y1 : a]: 51.64/7.19 ((((('#sk30' @ X2 @ Y0) & ('#sk30' @ Y0 @ 51.64/7.19 Y1))) => 51.64/7.19 ('#sk30' @ X2 @ Y1))))))))) 51.64/7.19 | ('#form9'))), 51.64/7.19 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl95])). 51.64/7.19 thf(zip_derived_cl115, plain, 51.64/7.19 (![X2 : a, X4 : a]: 51.64/7.19 ( (((!!) @ (^[Y0 : a]: 51.64/7.19 ((((('#sk30' @ X2 @ X4) & ('#sk30' @ X4 @ Y0))) => 51.64/7.19 ('#sk30' @ X2 @ Y0)))))) 51.64/7.19 | ('#form9'))), 51.64/7.19 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl105])). 51.64/7.19 thf(zip_derived_cl126, plain, 51.64/7.19 (![X2 : a, X4 : a, X6 : a]: 51.64/7.19 ( ((((('#sk30' @ X2 @ X4) & ('#sk30' @ X4 @ X6))) => ('#sk30' @ X2 @ 51.64/7.19 X6))) 51.64/7.19 | ('#form9'))), 51.64/7.19 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl115])). 51.64/7.19 thf(zip_derived_cl139, plain, 51.64/7.19 (![X2 : a, X4 : a, X6 : a]: 51.64/7.19 (~ ((('#sk30' @ X2 @ X4) & ('#sk30' @ X4 @ X6))) 51.64/7.19 | ('#sk30' @ X2 @ X6) 51.64/7.19 | ('#form9'))), 51.64/7.19 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl126])). 51.64/7.19 thf(zip_derived_cl152, plain, 51.64/7.19 (![X2 : a, X4 : a, X6 : a]: 51.64/7.19 (~ ('#sk30' @ X2 @ X4) 51.64/7.19 | ~ ('#sk30' @ X4 @ X6) 51.64/7.19 | ('#form9') 51.64/7.19 | ('#sk30' @ X2 @ X6))), 51.64/7.19 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl139])). 51.64/7.19 thf(zip_derived_cl7792, plain, ($false), 51.64/7.19 inference('eprover', [status(thm)], 51.64/7.19 [zip_derived_cl234, zip_derived_cl144, zip_derived_cl31, 51.64/7.19 zip_derived_cl233, zip_derived_cl11, zip_derived_cl169, 51.64/7.19 zip_derived_cl32, zip_derived_cl170, zip_derived_cl235, 51.64/7.19 zip_derived_cl62, zip_derived_cl42, zip_derived_cl410, 51.64/7.19 zip_derived_cl382, zip_derived_cl171, zip_derived_cl164, 51.64/7.19 zip_derived_cl134, zip_derived_cl122, zip_derived_cl121, 51.64/7.19 zip_derived_cl188, zip_derived_cl186, zip_derived_cl80, 51.64/7.19 zip_derived_cl194, zip_derived_cl192, zip_derived_cl138, 51.64/7.19 zip_derived_cl193, zip_derived_cl191, zip_derived_cl461, 51.64/7.19 zip_derived_cl460, zip_derived_cl137, zip_derived_cl189, 51.64/7.19 zip_derived_cl182, zip_derived_cl190, zip_derived_cl152])). 51.64/7.19 51.64/7.19 % SZS output end Refutation 51.64/7.19 51.64/7.19 51.64/7.19 % Terminating... 52.25/7.26 % Runner terminated. 52.25/7.27 % Zipperpin 1.5 exiting 52.25/7.27 EOF