0.11/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.11/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.15iQZJ3K7R true 0.13/0.34 % Computer : n014.cluster.edu 0.13/0.34 % Model : x86_64 x86_64 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.13/0.34 % Memory : 8042.1875MB 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64 0.13/0.34 % CPULimit : 1200 0.13/0.34 % WCLimit : 120 0.13/0.34 % DateTime : Tue Jul 13 12:07:20 EDT 2021 0.13/0.34 % CPUTime : 0.13/0.34 % Running portfolio for 120 s 0.13/0.34 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p 0.13/0.35 % Number of cores: 8 0.13/0.35 % Python version: Python 3.6.8 0.13/0.35 % Running in HO mode 0.55/0.62 % Total configuration time : 828 0.55/0.62 % Estimated wc time : 983 0.55/0.62 % Estimated cpu time (8 cpus) : 122.875 0.55/0.72 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 47s 0.55/0.72 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 47s 0.55/0.73 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 47s 0.56/0.76 % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 53s 0.56/0.76 % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 24s 0.56/0.76 % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 18s 0.56/0.77 % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 41s 0.56/0.77 % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 35s 32.31/4.84 % Solved by lams/20_acsne_simpl.sh. 32.31/4.84 % running E: timeout 13 /export/starexec/sandbox2/solver/bin/lams/eprover-ho --pos-ext=all --neg-ext=all /export/starexec/sandbox2/tmp/tmp.15iQZJ3K7R/e_input9bb787 --cpu-limit=11 --auto -s -p 32.31/4.84 % done 314 iterations in 3.934s 32.31/4.84 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p' 32.31/4.84 % SZS output start Refutation 32.31/4.84 thf(a_type, type, a: $tType). 32.31/4.84 thf('#sk307_type', type, '#sk307': (a > a > $o) > a). 32.31/4.84 thf('#sk3_type', type, '#sk3': a). 32.31/4.84 thf('#sk196_type', type, '#sk196': (a > a > $o) > a). 32.31/4.84 thf('#form96_type', type, '#form96': $o). 32.31/4.84 thf('#sk262_type', type, '#sk262': (a > a > $o) > a). 32.31/4.84 thf('#sk2_type', type, '#sk2': a > a > $o). 32.31/4.84 thf('#sk137_type', type, '#sk137': (a > a > $o) > a). 32.31/4.84 thf('#sk381_type', type, '#sk381': (a > a > $o) > a). 32.31/4.84 thf('#sk447_type', type, '#sk447': (a > a > $o) > a). 32.31/4.84 thf('#sk455_type', type, '#sk455': (a > a > $o) > a). 32.31/4.84 thf('#sk5_type', type, '#sk5': a > a > $o). 32.31/4.84 thf('#sk1_type', type, '#sk1': a > a > $o). 32.31/4.84 thf('#sk293_type', type, '#sk293': (a > a > $o) > a). 32.31/4.84 thf('#form24_type', type, '#form24': $o). 32.31/4.84 thf('#sk35_type', type, '#sk35': a). 32.31/4.84 thf('#sk231_type', type, '#sk231': (a > a > $o) > a). 32.31/4.84 thf('#sk26_type', type, '#sk26': a). 32.31/4.84 thf('#sk69_type', type, '#sk69': (a > a > $o) > a). 32.31/4.84 thf('#sk350_type', type, '#sk350': (a > a > $o) > a). 32.31/4.84 thf('#form221_type', type, '#form221': (a > a > $o) > $o). 32.31/4.84 thf('#sk359_type', type, '#sk359': (a > a > $o) > a). 32.31/4.84 thf('#sk55_type', type, '#sk55': a > a > $o). 32.31/4.84 thf('#sk4_type', type, '#sk4': a). 32.31/4.84 thf('#form14_type', type, '#form14': $o). 32.31/4.84 thf('#sk25_type', type, '#sk25': a). 32.31/4.84 thf('#sk53_type', type, '#sk53': (a > a > $o) > a). 32.31/4.84 thf('#sk54_type', type, '#sk54': a > a > $o). 32.31/4.84 thf('#sk36_type', type, '#sk36': a). 32.31/4.84 thf('#sk222_type', type, '#sk222': (a > a > $o) > a). 32.31/4.84 thf('#sk15_type', type, '#sk15': a). 32.31/4.84 thf(cTHM250H_pme, conjecture, 32.31/4.84 (![R:( a > a > $o ),S:( a > a > $o ),Xx:a,Xy:a]: 32.31/4.84 ( ( ( ~( ![Xp1:( a > a > $o )]: 32.31/4.84 ( ( ( ![Xx0:a,Xy0:a]: 32.31/4.84 ( ( ( R @ Xx0 @ Xy0 ) | ( S @ Xx0 @ Xy0 ) ) => 32.31/4.84 ( Xp1 @ Xx0 @ Xy0 ) ) ) & 32.31/4.84 ( ![Xx0:a,Xy0:a,Xz:a]: 32.31/4.84 ( ( ( Xp1 @ Xy0 @ Xz ) & ( Xp1 @ Xx0 @ Xy0 ) ) => 32.31/4.84 ( Xp1 @ Xx0 @ Xz ) ) ) ) => 32.31/4.84 ( Xp1 @ Xx @ Xy ) ) ) ) & 32.31/4.84 ( ![Xx0:a,Xy0:a]: 32.31/4.84 ( ( ( ![Xp1:( a > a > $o )]: 32.31/4.84 ( ( ( ![Xx1:a,Xy1:a,Xz:a]: 32.31/4.84 ( ( ( Xp1 @ Xx1 @ Xy1 ) & ( Xp1 @ Xy1 @ Xz ) ) => 32.31/4.84 ( Xp1 @ Xx1 @ Xz ) ) ) & 32.31/4.84 ( ![Xx1:a,Xy1:a]: 32.31/4.84 ( ( S @ Xx1 @ Xy1 ) => ( Xp1 @ Xx1 @ Xy1 ) ) ) ) => 32.31/4.84 ( Xp1 @ Xx0 @ Xy0 ) ) ) | 32.31/4.84 ( ![Xp1:( a > a > $o )]: 32.31/4.84 ( ( ( ![Xx1:a,Xy1:a,Xz:a]: 32.31/4.84 ( ( ( Xp1 @ Xx1 @ Xy1 ) & ( Xp1 @ Xy1 @ Xz ) ) => 32.31/4.84 ( Xp1 @ Xx1 @ Xz ) ) ) & 32.31/4.84 ( ![Xx1:a,Xy1:a]: 32.31/4.84 ( ( R @ Xx1 @ Xy1 ) => ( Xp1 @ Xx1 @ Xy1 ) ) ) ) => 32.31/4.84 ( Xp1 @ Xx0 @ Xy0 ) ) ) ) => 32.31/4.84 ( ![Xp1:( a > a > $o )]: 32.31/4.84 ( ( ( ![Xx1:a,Xy1:a]: 32.31/4.84 ( ( ( R @ Xx1 @ Xy1 ) | ( S @ Xx1 @ Xy1 ) ) => 32.31/4.84 ( Xp1 @ Xx1 @ Xy1 ) ) ) & 32.31/4.84 ( ![Xx1:a,Xy1:a,Xz:a]: 32.31/4.84 ( ( ( Xp1 @ Xy1 @ Xz ) & ( Xp1 @ Xx1 @ Xy1 ) ) => 32.31/4.84 ( Xp1 @ Xx1 @ Xz ) ) ) ) => 32.31/4.84 ( Xp1 @ Xx0 @ Xy0 ) ) ) ) ) & 32.31/4.84 ( ![Xx0:a,Xy0:a,Xz:a]: 32.31/4.84 ( ( ( ![Xp1:( a > a > $o )]: 32.31/4.84 ( ( ( ![Xx1:a,Xy1:a]: 32.31/4.84 ( ( ( S @ Xx1 @ Xy1 ) | ( R @ Xx1 @ Xy1 ) ) => 32.31/4.84 ( Xp1 @ Xx1 @ Xy1 ) ) ) & 32.31/4.84 ( ![Xx1:a,Xy1:a,Xz0:a]: 32.31/4.84 ( ( ( Xp1 @ Xx1 @ Xy1 ) & ( Xp1 @ Xy1 @ Xz0 ) ) => 32.31/4.84 ( Xp1 @ Xx1 @ Xz0 ) ) ) ) => 32.31/4.84 ( Xp1 @ Xx0 @ Xy0 ) ) ) & 32.31/4.84 ( ![Xp1:( a > a > $o )]: 32.31/4.84 ( ( ( ![Xx1:a,Xy1:a]: 32.31/4.84 ( ( ( S @ Xx1 @ Xy1 ) | ( R @ Xx1 @ Xy1 ) ) => 32.31/4.84 ( Xp1 @ Xx1 @ Xy1 ) ) ) & 32.31/4.84 ( ![Xx1:a,Xy1:a,Xz0:a]: 32.31/4.84 ( ( ( Xp1 @ Xy1 @ Xz0 ) & ( Xp1 @ Xx1 @ Xy1 ) ) => 32.31/4.84 ( Xp1 @ Xx1 @ Xz0 ) ) ) ) => 32.31/4.84 ( Xp1 @ Xy0 @ Xz ) ) ) ) => 32.31/4.84 ( ![Xp1:( a > a > $o )]: 32.31/4.84 ( ( ( ![Xx1:a,Xy1:a,Xz0:a]: 32.31/4.84 ( ( ( Xp1 @ Xx1 @ Xy1 ) & ( Xp1 @ Xy1 @ Xz0 ) ) => 32.31/4.84 ( Xp1 @ Xx1 @ Xz0 ) ) ) & 32.31/4.84 ( ![Xx1:a,Xy1:a]: 32.31/4.84 ( ( ( R @ Xx1 @ Xy1 ) | ( S @ Xx1 @ Xy1 ) ) => 32.31/4.84 ( Xp1 @ Xx1 @ Xy1 ) ) ) ) => 32.31/4.84 ( Xp1 @ Xx0 @ Xz ) ) ) ) ) ) | 32.31/4.84 ( ![Xp1:( a > a > $o )]: 32.31/4.84 ( ( ( ![Xx0:a,Xy0:a,Xz:a]: 32.31/4.84 ( ( ( Xp1 @ Xx0 @ Xy0 ) & ( Xp1 @ Xy0 @ Xz ) ) => 32.31/4.84 ( Xp1 @ Xx0 @ Xz ) ) ) & 32.31/4.84 ( ![Xx0:a,Xy0:a]: 32.31/4.84 ( ( ( S @ Xx0 @ Xy0 ) | ( R @ Xx0 @ Xy0 ) ) => 32.31/4.84 ( Xp1 @ Xx0 @ Xy0 ) ) ) ) => 32.31/4.84 ( Xp1 @ Xx @ Xy ) ) ) ))). 32.31/4.84 thf(zf_stmt_0, negated_conjecture, 32.31/4.84 (~( ![R:( a > a > $o ),S:( a > a > $o ),Xx:a,Xy:a]: 32.31/4.84 ( ( ( ~( ![Xp1:( a > a > $o )]: 32.31/4.84 ( ( ( ![Xx0:a,Xy0:a]: 32.31/4.84 ( ( ( R @ Xx0 @ Xy0 ) | ( S @ Xx0 @ Xy0 ) ) => 32.31/4.84 ( Xp1 @ Xx0 @ Xy0 ) ) ) & 32.31/4.84 ( ![Xx0:a,Xy0:a,Xz:a]: 32.31/4.84 ( ( ( Xp1 @ Xy0 @ Xz ) & ( Xp1 @ Xx0 @ Xy0 ) ) => 32.31/4.84 ( Xp1 @ Xx0 @ Xz ) ) ) ) => 32.31/4.84 ( Xp1 @ Xx @ Xy ) ) ) ) & 32.31/4.84 ( ![Xx0:a,Xy0:a]: 32.31/4.84 ( ( ( ![Xp1:( a > a > $o )]: 32.31/4.84 ( ( ( ![Xx1:a,Xy1:a,Xz:a]: 32.31/4.84 ( ( ( Xp1 @ Xx1 @ Xy1 ) & ( Xp1 @ Xy1 @ Xz ) ) => 32.31/4.84 ( Xp1 @ Xx1 @ Xz ) ) ) & 32.31/4.84 ( ![Xx1:a,Xy1:a]: 32.31/4.84 ( ( S @ Xx1 @ Xy1 ) => ( Xp1 @ Xx1 @ Xy1 ) ) ) ) => 32.31/4.84 ( Xp1 @ Xx0 @ Xy0 ) ) ) | 32.31/4.84 ( ![Xp1:( a > a > $o )]: 32.31/4.84 ( ( ( ![Xx1:a,Xy1:a,Xz:a]: 32.31/4.84 ( ( ( Xp1 @ Xx1 @ Xy1 ) & ( Xp1 @ Xy1 @ Xz ) ) => 32.31/4.84 ( Xp1 @ Xx1 @ Xz ) ) ) & 32.31/4.84 ( ![Xx1:a,Xy1:a]: 32.31/4.84 ( ( R @ Xx1 @ Xy1 ) => ( Xp1 @ Xx1 @ Xy1 ) ) ) ) => 32.31/4.84 ( Xp1 @ Xx0 @ Xy0 ) ) ) ) => 32.31/4.84 ( ![Xp1:( a > a > $o )]: 32.31/4.84 ( ( ( ![Xx1:a,Xy1:a]: 32.31/4.84 ( ( ( R @ Xx1 @ Xy1 ) | ( S @ Xx1 @ Xy1 ) ) => 32.31/4.84 ( Xp1 @ Xx1 @ Xy1 ) ) ) & 32.31/4.84 ( ![Xx1:a,Xy1:a,Xz:a]: 32.31/4.84 ( ( ( Xp1 @ Xy1 @ Xz ) & ( Xp1 @ Xx1 @ Xy1 ) ) => 32.31/4.84 ( Xp1 @ Xx1 @ Xz ) ) ) ) => 32.31/4.84 ( Xp1 @ Xx0 @ Xy0 ) ) ) ) ) & 32.31/4.84 ( ![Xx0:a,Xy0:a,Xz:a]: 32.31/4.84 ( ( ( ![Xp1:( a > a > $o )]: 32.31/4.84 ( ( ( ![Xx1:a,Xy1:a]: 32.31/4.84 ( ( ( S @ Xx1 @ Xy1 ) | ( R @ Xx1 @ Xy1 ) ) => 32.31/4.84 ( Xp1 @ Xx1 @ Xy1 ) ) ) & 32.31/4.84 ( ![Xx1:a,Xy1:a,Xz0:a]: 32.31/4.84 ( ( ( Xp1 @ Xx1 @ Xy1 ) & ( Xp1 @ Xy1 @ Xz0 ) ) => 32.31/4.84 ( Xp1 @ Xx1 @ Xz0 ) ) ) ) => 32.31/4.84 ( Xp1 @ Xx0 @ Xy0 ) ) ) & 32.31/4.84 ( ![Xp1:( a > a > $o )]: 32.31/4.84 ( ( ( ![Xx1:a,Xy1:a]: 32.31/4.84 ( ( ( S @ Xx1 @ Xy1 ) | ( R @ Xx1 @ Xy1 ) ) => 32.31/4.84 ( Xp1 @ Xx1 @ Xy1 ) ) ) & 32.31/4.84 ( ![Xx1:a,Xy1:a,Xz0:a]: 32.31/4.84 ( ( ( Xp1 @ Xy1 @ Xz0 ) & ( Xp1 @ Xx1 @ Xy1 ) ) => 32.31/4.84 ( Xp1 @ Xx1 @ Xz0 ) ) ) ) => 32.31/4.84 ( Xp1 @ Xy0 @ Xz ) ) ) ) => 32.31/4.84 ( ![Xp1:( a > a > $o )]: 32.31/4.84 ( ( ( ![Xx1:a,Xy1:a,Xz0:a]: 32.31/4.84 ( ( ( Xp1 @ Xx1 @ Xy1 ) & ( Xp1 @ Xy1 @ Xz0 ) ) => 32.31/4.84 ( Xp1 @ Xx1 @ Xz0 ) ) ) & 32.31/4.84 ( ![Xx1:a,Xy1:a]: 32.31/4.84 ( ( ( R @ Xx1 @ Xy1 ) | ( S @ Xx1 @ Xy1 ) ) => 32.31/4.84 ( Xp1 @ Xx1 @ Xy1 ) ) ) ) => 32.31/4.84 ( Xp1 @ Xx0 @ Xz ) ) ) ) ) ) | 32.31/4.84 ( ![Xp1:( a > a > $o )]: 32.31/4.84 ( ( ( ![Xx0:a,Xy0:a,Xz:a]: 32.31/4.84 ( ( ( Xp1 @ Xx0 @ Xy0 ) & ( Xp1 @ Xy0 @ Xz ) ) => 32.31/4.84 ( Xp1 @ Xx0 @ Xz ) ) ) & 32.31/4.84 ( ![Xx0:a,Xy0:a]: 32.31/4.84 ( ( ( S @ Xx0 @ Xy0 ) | ( R @ Xx0 @ Xy0 ) ) => 32.31/4.84 ( Xp1 @ Xx0 @ Xy0 ) ) ) ) => 32.31/4.84 ( Xp1 @ Xx @ Xy ) ) ) ) )), 32.31/4.84 inference('cnf.neg', [status(esa)], [cTHM250H_pme])). 32.31/4.84 thf(zip_derived_cl0, plain, 32.31/4.84 (~ (((!!) @ (^[Y0 : a > a > $o]: 32.31/4.84 (((!!) @ (^[Y1 : a > a > $o]: 32.31/4.84 (((!!) @ (^[Y2 : a]: 32.31/4.84 (((!!) @ (^[Y3 : a]: 32.31/4.84 (((((((~) @ (( 32.31/4.84 (!!) @ ( 32.31/4.84 ^[Y4 : 32.31/4.84 a > a > $o]: 32.31/4.84 (( 32.31/4.84 (( 32.31/4.84 (( 32.31/4.84 (!!) @ ( 32.31/4.84 ^[Y5 : a]: 32.31/4.84 (( 32.31/4.84 (!!) @ ( 32.31/4.84 ^[Y6 : a]: 32.31/4.84 (( 32.31/4.84 (( 32.31/4.84 (Y0 @ 32.31/4.84 Y5 @ 32.31/4.84 Y6) | 32.31/4.84 (Y1 @ 32.31/4.84 Y5 @ Y6))) => 32.31/4.84 (Y4 @ 32.31/4.84 Y5 @ Y6))))))))) & 32.31/4.84 (( 32.31/4.84 (!!) @ ( 32.31/4.84 ^[Y5 : a]: 32.31/4.84 (( 32.31/4.84 (!!) @ ( 32.31/4.84 ^[Y6 : a]: 32.31/4.84 (( 32.31/4.84 (!!) @ ( 32.31/4.84 ^[Y7 : a]: 32.31/4.84 (( 32.31/4.84 (( 32.31/4.84 (Y4 @ 32.31/4.84 Y6 @ 32.31/4.84 Y7) & 32.31/4.84 (Y4 @ 32.31/4.84 Y5 @ Y6))) => 32.31/4.84 (Y4 @ 32.31/4.84 Y5 @ Y7)))))))))))))) => 32.31/4.84 (Y4 @ 32.31/4.84 Y2 @ Y3)))))))) & 32.31/4.84 (((!!) @ ( 32.31/4.84 ^[Y4 : a]: 32.31/4.84 (((!!) @ ( 32.31/4.84 ^[Y5 : a]: 32.31/4.84 (( 32.31/4.84 (( 32.31/4.84 (( 32.31/4.84 (!!) @ ( 32.31/4.84 ^[Y6 : 32.31/4.84 a > a > $o]: 32.31/4.84 (( 32.31/4.84 (( 32.31/4.84 (( 32.31/4.84 (!!) @ ( 32.31/4.84 ^[Y7 : a]: 32.31/4.84 (( 32.31/4.84 (!!) @ ( 32.31/4.84 ^[Y8 : a]: 32.31/4.84 (( 32.31/4.84 (!!) @ ( 32.31/4.84 ^[Y9 : a]: 32.31/4.84 (( 32.31/4.84 (( 32.31/4.84 (Y6 @ 32.31/4.84 Y7 @ 32.31/4.84 Y8) & 32.31/4.84 (Y6 @ 32.31/4.84 Y8 @ Y9))) => 32.31/4.84 (Y6 @ 32.31/4.84 Y7 @ Y9)))))))))))) & 32.31/4.84 (( 32.31/4.84 (!!) @ ( 32.31/4.84 ^[Y7 : a]: 32.31/4.84 (( 32.31/4.84 (!!) @ ( 32.31/4.84 ^[Y8 : a]: 32.31/4.84 (( 32.31/4.84 (Y1 @ 32.31/4.84 Y7 @ 32.31/4.84 Y8) => 32.31/4.84 (Y6 @ 32.31/4.84 Y7 @ Y8))))))))))) => 32.31/4.84 (Y6 @ 32.31/4.84 Y4 @ Y5)))))) | 32.31/4.84 (( 32.31/4.84 (!!) @ ( 32.31/4.84 ^[Y6 : 32.31/4.84 a > a > $o]: 32.31/4.84 (( 32.31/4.84 (( 32.31/4.84 (( 32.31/4.84 (!!) @ ( 32.31/4.84 ^[Y7 : a]: 32.31/4.84 (( 32.31/4.84 (!!) @ ( 32.31/4.84 ^[Y8 : a]: 32.31/4.84 (( 32.31/4.84 (!!) @ ( 32.31/4.84 ^[Y9 : a]: 32.31/4.84 (( 32.31/4.84 (( 32.31/4.84 (Y6 @ 32.31/4.84 Y7 @ 32.31/4.84 Y8) & 32.31/4.84 (Y6 @ 32.31/4.84 Y8 @ Y9))) => 32.31/4.84 (Y6 @ 32.31/4.84 Y7 @ Y9)))))))))))) & 32.31/4.84 (( 32.31/4.84 (!!) @ ( 32.31/4.84 ^[Y7 : a]: 32.31/4.84 (( 32.31/4.84 (!!) @ ( 32.31/4.84 ^[Y8 : a]: 32.31/4.84 (( 32.31/4.84 (Y0 @ 32.31/4.84 Y7 @ 32.31/4.84 Y8) => 32.31/4.84 (Y6 @ 32.31/4.84 Y7 @ Y8))))))))))) => 32.31/4.84 (Y6 @ 32.31/4.84 Y4 @ Y5)))))))) => 32.31/4.84 (( 32.31/4.84 (!!) @ ( 32.31/4.84 ^[Y6 : 32.31/4.84 a > a > $o]: 32.31/4.84 (( 32.31/4.84 (( 32.31/4.84 (( 32.31/4.84 (!!) @ ( 32.31/4.84 ^[Y7 : a]: 32.31/4.84 (( 32.31/4.84 (!!) @ ( 32.31/4.84 ^[Y8 : a]: 32.31/4.84 (( 32.31/4.84 (( 32.31/4.84 (Y0 @ 32.31/4.84 Y7 @ 32.31/4.84 Y8) | 32.31/4.84 (Y1 @ 32.31/4.84 Y7 @ Y8))) => 32.31/4.84 (Y6 @ 32.31/4.84 Y7 @ Y8))))))))) & 32.31/4.84 (( 32.31/4.84 (!!) @ ( 32.31/4.84 ^[Y7 : a]: 32.31/4.84 (( 32.31/4.84 (!!) @ ( 32.31/4.84 ^[Y8 : a]: 32.31/4.84 (( 32.31/4.84 (!!) @ ( 32.31/4.84 ^[Y9 : a]: 32.31/4.84 (( 32.31/4.84 (( 32.31/4.84 (Y6 @ 32.31/4.84 Y8 @ 32.31/4.84 Y9) & 32.31/4.84 (Y6 @ 32.31/4.84 Y7 @ Y8))) => 32.31/4.84 (Y6 @ 32.31/4.84 Y7 @ Y9)))))))))))))) => 32.31/4.84 (Y6 @ 32.31/4.84 Y4 @ Y5)))))))))))))) & 32.31/4.84 (((!!) @ ( 32.31/4.84 ^[Y4 : a]: 32.31/4.84 (((!!) @ ( 32.31/4.84 ^[Y5 : a]: 32.31/4.84 (( 32.31/4.84 (!!) @ ( 32.31/4.84 ^[Y6 : a]: 32.31/4.84 (( 32.31/4.84 (( 32.31/4.84 (( 32.31/4.84 (!!) @ ( 32.31/4.84 ^[Y7 : 32.31/4.84 a > a > $o]: 32.31/4.84 (( 32.31/4.84 (( 32.31/4.84 (( 32.31/4.84 (!!) @ ( 32.31/4.84 ^[Y8 : a]: 32.31/4.84 (( 32.31/4.84 (!!) @ ( 32.31/4.84 ^[Y9 : a]: 32.31/4.84 (( 32.31/4.84 (( 32.31/4.84 (Y1 @ 32.31/4.84 Y8 @ 32.31/4.84 Y9) | 32.31/4.84 (Y0 @ 32.31/4.84 Y8 @ Y9))) => 32.31/4.84 (Y7 @ 32.31/4.84 Y8 @ Y9))))))))) & 32.31/4.84 (( 32.31/4.84 (!!) @ ( 32.31/4.84 ^[Y8 : a]: 32.31/4.84 (( 32.31/4.84 (!!) @ ( 32.31/4.84 ^[Y9 : a]: 32.31/4.84 (( 32.31/4.84 (!!) @ ( 32.31/4.84 ^[Y10 : a]: 32.31/4.84 (( 32.31/4.84 (( 32.31/4.84 (Y7 @ 32.31/4.84 Y8 @ 32.31/4.84 Y9) & 32.31/4.84 (Y7 @ 32.31/4.84 Y9 @ Y10))) => 32.31/4.84 (Y7 @ 32.31/4.84 Y8 @ Y10)))))))))))))) => 32.31/4.84 (Y7 @ 32.31/4.84 Y4 @ Y5)))))) & 32.31/4.84 (( 32.31/4.84 (!!) @ ( 32.31/4.84 ^[Y7 : 32.31/4.84 a > a > $o]: 32.31/4.84 (( 32.31/4.84 (( 32.31/4.84 (( 32.31/4.84 (!!) @ ( 32.31/4.84 ^[Y8 : a]: 32.31/4.84 (( 32.31/4.84 (!!) @ ( 32.31/4.84 ^[Y9 : a]: 32.31/4.84 (( 32.31/4.84 (( 32.31/4.84 (Y1 @ 32.31/4.84 Y8 @ 32.31/4.84 Y9) | 32.31/4.84 (Y0 @ 32.31/4.84 Y8 @ Y9))) => 32.31/4.84 (Y7 @ 32.31/4.84 Y8 @ Y9))))))))) & 32.31/4.84 (( 32.31/4.84 (!!) @ ( 32.31/4.84 ^[Y8 : a]: 32.31/4.84 (( 32.31/4.84 (!!) @ ( 32.31/4.84 ^[Y9 : a]: 32.31/4.84 (( 32.31/4.84 (!!) @ ( 32.31/4.84 ^[Y10 : a]: 32.31/4.84 (( 32.31/4.84 (( 32.31/4.84 (Y7 @ 32.31/4.84 Y9 @ 32.31/4.84 Y10) & 32.31/4.84 (Y7 @ 32.31/4.84 Y8 @ Y9))) => 32.31/4.84 (Y7 @ 32.31/4.84 Y8 @ Y10)))))))))))))) => 32.31/4.84 (Y7 @ 32.31/4.84 Y5 @ Y6)))))))) => 32.31/4.84 (( 32.31/4.84 (!!) @ ( 32.31/4.84 ^[Y7 : 32.31/4.84 a > a > $o]: 32.31/4.84 (( 32.31/4.84 (( 32.31/4.84 (( 32.31/4.84 (!!) @ ( 32.31/4.84 ^[Y8 : a]: 32.31/4.84 (( 32.31/4.84 (!!) @ ( 32.31/4.84 ^[Y9 : a]: 32.31/4.84 (( 32.31/4.84 (!!) @ ( 32.31/4.84 ^[Y10 : a]: 32.31/4.84 (( 32.31/4.84 (( 32.31/4.84 (Y7 @ 32.31/4.84 Y8 @ 32.31/4.84 Y9) & 32.31/4.84 (Y7 @ 32.31/4.84 Y9 @ Y10))) => 32.31/4.84 (Y7 @ 32.31/4.84 Y8 @ Y10)))))))))))) & 32.31/4.84 (( 32.31/4.84 (!!) @ ( 32.31/4.84 ^[Y8 : a]: 32.31/4.84 (( 32.31/4.84 (!!) @ ( 32.31/4.84 ^[Y9 : a]: 32.31/4.84 (( 32.31/4.84 (( 32.31/4.84 (Y0 @ 32.31/4.84 Y8 @ 32.31/4.84 Y9) | 32.31/4.84 (Y1 @ 32.31/4.84 Y8 @ Y9))) => 32.31/4.84 (Y7 @ 32.31/4.84 Y8 @ Y9))))))))))) => 32.31/4.84 (Y7 @ 32.31/4.84 Y4 @ Y6))))))))))))))))))) | 32.31/4.84 (((!!) @ (^[Y4 : 32.31/4.84 a > a > $o]: 32.31/4.84 (( 32.31/4.84 (( 32.31/4.84 (( 32.31/4.84 (!!) @ ( 32.31/4.84 ^[Y5 : a]: 32.31/4.84 (( 32.31/4.84 (!!) @ ( 32.31/4.84 ^[Y6 : a]: 32.31/4.84 (( 32.31/4.84 (!!) @ ( 32.31/4.84 ^[Y7 : a]: 32.31/4.84 (( 32.31/4.84 (( 32.31/4.84 (Y4 @ 32.31/4.84 Y5 @ 32.31/4.84 Y6) & 32.31/4.84 (Y4 @ 32.31/4.84 Y6 @ Y7))) => 32.31/4.84 (Y4 @ 32.31/4.84 Y5 @ Y7)))))))))))) & 32.31/4.84 (( 32.31/4.84 (!!) @ ( 32.31/4.84 ^[Y5 : a]: 32.31/4.84 (( 32.31/4.84 (!!) @ ( 32.31/4.84 ^[Y6 : a]: 32.31/4.84 (( 32.31/4.84 (( 32.31/4.84 (Y1 @ 32.31/4.84 Y5 @ 32.31/4.84 Y6) | 32.31/4.84 (Y0 @ 32.31/4.84 Y5 @ Y6))) => 32.31/4.84 (Y4 @ 32.31/4.84 Y5 @ Y6))))))))))) => 32.31/4.84 (Y4 @ 32.31/4.84 Y2 @ Y3))))))))))))))))))))), 32.31/4.84 inference('cnf', [status(esa)], [zf_stmt_0])). 32.31/4.84 thf(zip_derived_cl1, plain, 32.31/4.84 (~ (((!!) @ (^[Y0 : a > a > $o]: 32.31/4.84 (((!!) @ (^[Y1 : a]: 32.31/4.84 (((!!) @ (^[Y2 : a]: 32.31/4.84 (((((((~) @ (((!!) @ (^[Y3 : 32.31/4.84 a > a > $o]: 32.31/4.84 (( 32.31/4.84 (( 32.31/4.84 (( 32.31/4.84 (!!) @ ( 32.31/4.84 ^[Y4 : a]: 32.31/4.84 (( 32.31/4.84 (!!) @ ( 32.31/4.84 ^[Y5 : a]: 32.31/4.84 (( 32.31/4.84 (( 32.31/4.84 ('#sk1' @ 32.31/4.84 Y4 @ 32.31/4.84 Y5) | 32.31/4.84 (Y0 @ 32.31/4.84 Y4 @ Y5))) => 32.31/4.84 (Y3 @ 32.31/4.84 Y4 @ Y5))))))))) & 32.31/4.84 (( 32.31/4.84 (!!) @ ( 32.31/4.84 ^[Y4 : a]: 32.31/4.84 (( 32.31/4.84 (!!) @ ( 32.31/4.84 ^[Y5 : a]: 32.31/4.84 (( 32.31/4.84 (!!) @ ( 32.31/4.84 ^[Y6 : a]: 32.31/4.84 (( 32.31/4.84 (( 32.31/4.84 (Y3 @ 32.31/4.84 Y5 @ 32.31/4.84 Y6) & 32.31/4.84 (Y3 @ 32.31/4.84 Y4 @ Y5))) => 32.31/4.84 (Y3 @ 32.31/4.84 Y4 @ Y6)))))))))))))) => 32.31/4.84 (Y3 @ 32.31/4.84 Y1 @ Y2)))))))) & 32.31/4.84 (((!!) @ (^[Y3 : a]: 32.31/4.84 (((!!) @ ( 32.31/4.84 ^[Y4 : a]: 32.31/4.84 (((((( 32.31/4.84 (!!) @ ( 32.31/4.84 ^[Y5 : 32.31/4.84 a > a > $o]: 32.31/4.84 (( 32.31/4.84 (( 32.31/4.84 (( 32.31/4.84 (!!) @ ( 32.31/4.84 ^[Y6 : a]: 32.31/4.84 (( 32.31/4.84 (!!) @ ( 32.31/4.84 ^[Y7 : a]: 32.31/4.84 (( 32.31/4.84 (!!) @ ( 32.31/4.84 ^[Y8 : a]: 32.31/4.84 (( 32.31/4.84 (( 32.31/4.84 (Y5 @ 32.31/4.84 Y6 @ 32.31/4.84 Y7) & 32.31/4.84 (Y5 @ 32.31/4.84 Y7 @ Y8))) => 32.31/4.84 (Y5 @ 32.31/4.84 Y6 @ Y8)))))))))))) & 32.31/4.84 (( 32.31/4.84 (!!) @ ( 32.31/4.84 ^[Y6 : a]: 32.31/4.84 (( 32.31/4.84 (!!) @ ( 32.31/4.84 ^[Y7 : a]: 32.31/4.84 (( 32.31/4.84 (Y0 @ 32.31/4.84 Y6 @ 32.31/4.84 Y7) => 32.31/4.84 (Y5 @ 32.31/4.84 Y6 @ Y7))))))))))) => 32.31/4.84 (Y5 @ 32.31/4.84 Y3 @ Y4)))))) | 32.31/4.84 (( 32.31/4.84 (!!) @ ( 32.31/4.84 ^[Y5 : 32.31/4.84 a > a > $o]: 32.31/4.84 (( 32.31/4.84 (( 32.31/4.84 (( 32.31/4.84 (!!) @ ( 32.31/4.84 ^[Y6 : a]: 32.31/4.84 (( 32.31/4.84 (!!) @ ( 32.31/4.84 ^[Y7 : a]: 32.31/4.84 (( 32.31/4.84 (!!) @ ( 32.31/4.84 ^[Y8 : a]: 32.31/4.84 (( 32.31/4.84 (( 32.31/4.84 (Y5 @ 32.31/4.84 Y6 @ 32.31/4.84 Y7) & 32.31/4.84 (Y5 @ 32.31/4.84 Y7 @ Y8))) => 32.31/4.84 (Y5 @ 32.31/4.84 Y6 @ Y8)))))))))))) & 32.31/4.84 (( 32.31/4.84 (!!) @ ( 32.31/4.84 ^[Y6 : a]: 32.31/4.84 (( 32.31/4.84 (!!) @ ( 32.31/4.84 ^[Y7 : a]: 32.31/4.84 (( 32.31/4.84 ('#sk1' @ 32.31/4.84 Y6 @ 32.31/4.84 Y7) => 32.31/4.84 (Y5 @ 32.31/4.84 Y6 @ Y7))))))))))) => 32.31/4.84 (Y5 @ 32.31/4.84 Y3 @ Y4)))))))) => 32.31/4.84 (((!!) @ ( 32.31/4.84 ^[Y5 : 32.31/4.84 a > a > $o]: 32.31/4.84 (( 32.31/4.84 (( 32.31/4.84 (( 32.31/4.84 (!!) @ ( 32.31/4.84 ^[Y6 : a]: 32.31/4.84 (( 32.31/4.84 (!!) @ ( 32.31/4.84 ^[Y7 : a]: 32.31/4.84 (( 32.31/4.84 (( 32.31/4.84 ('#sk1' @ 32.31/4.84 Y6 @ 32.31/4.84 Y7) | 32.31/4.84 (Y0 @ 32.31/4.84 Y6 @ Y7))) => 32.31/4.84 (Y5 @ 32.31/4.84 Y6 @ Y7))))))))) & 32.31/4.84 (( 32.31/4.84 (!!) @ ( 32.31/4.84 ^[Y6 : a]: 32.31/4.84 (( 32.31/4.84 (!!) @ ( 32.31/4.84 ^[Y7 : a]: 32.31/4.84 (( 32.31/4.84 (!!) @ ( 32.31/4.84 ^[Y8 : a]: 32.31/4.84 (( 32.31/4.84 (( 32.31/4.84 (Y5 @ 32.31/4.84 Y7 @ 32.31/4.84 Y8) & 32.31/4.84 (Y5 @ 32.31/4.84 Y6 @ Y7))) => 32.31/4.84 (Y5 @ 32.31/4.84 Y6 @ Y8)))))))))))))) => 32.31/4.84 (Y5 @ 32.31/4.84 Y3 @ Y4)))))))))))))) & 32.31/4.84 (((!!) @ (^[Y3 : a]: 32.31/4.84 (((!!) @ ( 32.31/4.84 ^[Y4 : a]: 32.31/4.84 (((!!) @ ( 32.31/4.84 ^[Y5 : a]: 32.31/4.84 (( 32.31/4.84 (( 32.31/4.84 (( 32.31/4.84 (!!) @ ( 32.31/4.84 ^[Y6 : 32.31/4.84 a > a > $o]: 32.31/4.84 (( 32.31/4.84 (( 32.31/4.84 (( 32.31/4.84 (!!) @ ( 32.31/4.84 ^[Y7 : a]: 32.31/4.84 (( 32.31/4.84 (!!) @ ( 32.31/4.84 ^[Y8 : a]: 32.31/4.84 (( 32.31/4.84 (( 32.31/4.84 (Y0 @ 32.31/4.84 Y7 @ 32.31/4.84 Y8) | 32.31/4.84 ('#sk1' @ 32.31/4.84 Y7 @ Y8))) => 32.31/4.84 (Y6 @ 32.31/4.84 Y7 @ Y8))))))))) & 32.31/4.84 (( 32.31/4.84 (!!) @ ( 32.31/4.84 ^[Y7 : a]: 32.31/4.84 (( 32.31/4.84 (!!) @ ( 32.31/4.84 ^[Y8 : a]: 32.31/4.84 (( 32.31/4.84 (!!) @ ( 32.31/4.84 ^[Y9 : a]: 32.31/4.84 (( 32.31/4.84 (( 32.31/4.84 (Y6 @ 32.31/4.84 Y7 @ 32.31/4.84 Y8) & 32.31/4.84 (Y6 @ 32.31/4.84 Y8 @ Y9))) => 32.31/4.84 (Y6 @ 32.31/4.84 Y7 @ Y9)))))))))))))) => 32.31/4.84 (Y6 @ 32.31/4.84 Y3 @ Y4)))))) & 32.31/4.84 (( 32.31/4.84 (!!) @ ( 32.31/4.84 ^[Y6 : 32.31/4.84 a > a > $o]: 32.31/4.84 (( 32.31/4.84 (( 32.31/4.84 (( 32.31/4.84 (!!) @ ( 32.31/4.84 ^[Y7 : a]: 32.31/4.84 (( 32.31/4.84 (!!) @ ( 32.31/4.84 ^[Y8 : a]: 32.31/4.84 (( 32.31/4.84 (( 32.31/4.84 (Y0 @ 32.31/4.84 Y7 @ 32.31/4.84 Y8) | 32.31/4.84 ('#sk1' @ 32.31/4.84 Y7 @ Y8))) => 32.31/4.84 (Y6 @ 32.31/4.84 Y7 @ Y8))))))))) & 32.31/4.84 (( 32.31/4.84 (!!) @ ( 32.31/4.84 ^[Y7 : a]: 32.31/4.84 (( 32.31/4.84 (!!) @ ( 32.31/4.84 ^[Y8 : a]: 32.31/4.84 (( 32.31/4.84 (!!) @ ( 32.31/4.84 ^[Y9 : a]: 32.31/4.84 (( 32.31/4.84 (( 32.31/4.84 (Y6 @ 32.31/4.84 Y8 @ 32.31/4.84 Y9) & 32.31/4.84 (Y6 @ 32.31/4.84 Y7 @ Y8))) => 32.31/4.84 (Y6 @ 32.31/4.84 Y7 @ Y9)))))))))))))) => 32.31/4.84 (Y6 @ 32.31/4.84 Y4 @ Y5)))))))) => 32.31/4.84 (( 32.31/4.84 (!!) @ ( 32.31/4.84 ^[Y6 : 32.31/4.84 a > a > $o]: 32.31/4.84 (( 32.31/4.84 (( 32.31/4.84 (( 32.31/4.84 (!!) @ ( 32.31/4.84 ^[Y7 : a]: 32.31/4.84 (( 32.31/4.84 (!!) @ ( 32.31/4.84 ^[Y8 : a]: 32.31/4.84 (( 32.31/4.84 (!!) @ ( 32.31/4.84 ^[Y9 : a]: 32.31/4.84 (( 32.31/4.84 (( 32.31/4.84 (Y6 @ 32.31/4.84 Y7 @ 32.31/4.84 Y8) & 32.31/4.84 (Y6 @ 32.31/4.84 Y8 @ Y9))) => 32.31/4.84 (Y6 @ 32.31/4.84 Y7 @ Y9)))))))))))) & 32.31/4.84 (( 32.31/4.84 (!!) @ ( 32.31/4.84 ^[Y7 : a]: 32.31/4.84 (( 32.31/4.84 (!!) @ ( 32.31/4.84 ^[Y8 : a]: 32.31/4.84 (( 32.31/4.84 (( 32.31/4.84 ('#sk1' @ 32.31/4.84 Y7 @ 32.31/4.84 Y8) | 32.31/4.84 (Y0 @ 32.31/4.84 Y7 @ Y8))) => 32.31/4.84 (Y6 @ 32.31/4.84 Y7 @ Y8))))))))))) => 32.31/4.84 (Y6 @ 32.31/4.84 Y3 @ Y5))))))))))))))))))) | 32.31/4.84 (((!!) @ (^[Y3 : a > a > $o]: 32.31/4.84 (((((((!!) @ ( 32.31/4.84 ^[Y4 : a]: 32.31/4.84 (((!!) @ ( 32.31/4.84 ^[Y5 : a]: 32.31/4.84 (( 32.31/4.84 (!!) @ ( 32.31/4.84 ^[Y6 : a]: 32.31/4.84 (( 32.31/4.84 (( 32.31/4.84 (Y3 @ 32.31/4.84 Y4 @ 32.31/4.84 Y5) & 32.31/4.84 (Y3 @ 32.31/4.84 Y5 @ Y6))) => 32.31/4.84 (Y3 @ 32.31/4.84 Y4 @ Y6)))))))))))) & 32.31/4.84 (((!!) @ ( 32.31/4.84 ^[Y4 : a]: 32.31/4.84 (((!!) @ ( 32.31/4.84 ^[Y5 : a]: 32.31/4.84 (( 32.31/4.84 (( 32.31/4.84 (Y0 @ 32.31/4.84 Y4 @ 32.31/4.84 Y5) | 32.31/4.84 ('#sk1' @ 32.31/4.84 Y4 @ Y5))) => 32.31/4.84 (Y3 @ 32.31/4.84 Y4 @ Y5))))))))))) => 32.31/4.84 (Y3 @ Y1 @ Y2)))))))))))))))))), 32.31/4.84 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl0])). 32.31/4.84 thf(zip_derived_cl2, plain, 32.31/4.84 (~ (((!!) @ (^[Y0 : a]: 32.31/4.84 (((!!) @ (^[Y1 : a]: 32.31/4.84 (((((((~) @ (((!!) @ (^[Y2 : a > a > $o]: 32.31/4.84 (((((((!!) @ ( 32.31/4.84 ^[Y3 : a]: 32.31/4.84 (((!!) @ ( 32.31/4.84 ^[Y4 : a]: 32.31/4.84 (( 32.31/4.84 (( 32.31/4.84 ('#sk1' @ 32.31/4.84 Y3 @ 32.31/4.84 Y4) | 32.31/4.84 ('#sk2' @ 32.31/4.84 Y3 @ Y4))) => 32.31/4.84 (Y2 @ 32.31/4.84 Y3 @ Y4))))))))) & 32.31/4.84 (((!!) @ ( 32.31/4.84 ^[Y3 : a]: 32.31/4.84 (((!!) @ ( 32.31/4.84 ^[Y4 : a]: 32.31/4.84 (( 32.31/4.84 (!!) @ ( 32.31/4.84 ^[Y5 : a]: 32.31/4.84 (( 32.31/4.84 (( 32.31/4.84 (Y2 @ 32.31/4.84 Y4 @ 32.31/4.84 Y5) & 32.31/4.84 (Y2 @ 32.31/4.84 Y3 @ Y4))) => 32.31/4.84 (Y2 @ 32.31/4.84 Y3 @ Y5)))))))))))))) => 32.31/4.84 (Y2 @ Y0 @ Y1)))))))) & 32.31/4.84 (((!!) @ (^[Y2 : a]: 32.31/4.84 (((!!) @ (^[Y3 : a]: 32.31/4.84 (((((((!!) @ ( 32.31/4.84 ^[Y4 : 32.31/4.84 a > a > $o]: 32.31/4.84 (( 32.31/4.84 (( 32.31/4.84 (( 32.31/4.84 (!!) @ ( 32.31/4.84 ^[Y5 : a]: 32.31/4.84 (( 32.31/4.84 (!!) @ ( 32.31/4.84 ^[Y6 : a]: 32.31/4.84 (( 32.31/4.84 (!!) @ ( 32.31/4.84 ^[Y7 : a]: 32.31/4.84 (( 32.31/4.84 (( 32.31/4.84 (Y4 @ 32.31/4.84 Y5 @ 32.31/4.84 Y6) & 32.31/4.84 (Y4 @ 32.31/4.84 Y6 @ Y7))) => 32.31/4.84 (Y4 @ 32.31/4.84 Y5 @ Y7)))))))))))) & 32.31/4.84 (( 32.31/4.84 (!!) @ ( 32.31/4.84 ^[Y5 : a]: 32.31/4.84 (( 32.31/4.84 (!!) @ ( 32.31/4.84 ^[Y6 : a]: 32.31/4.84 (( 32.31/4.84 ('#sk2' @ 32.31/4.84 Y5 @ 32.31/4.84 Y6) => 32.31/4.84 (Y4 @ 32.31/4.84 Y5 @ Y6))))))))))) => 32.31/4.84 (Y4 @ 32.31/4.84 Y2 @ Y3)))))) | 32.31/4.84 (((!!) @ ( 32.31/4.84 ^[Y4 : 32.31/4.84 a > a > $o]: 32.31/4.84 (( 32.31/4.84 (( 32.31/4.84 (( 32.31/4.84 (!!) @ ( 32.31/4.84 ^[Y5 : a]: 32.31/4.84 (( 32.31/4.84 (!!) @ ( 32.31/4.84 ^[Y6 : a]: 32.31/4.84 (( 32.31/4.84 (!!) @ ( 32.31/4.84 ^[Y7 : a]: 32.31/4.84 (( 32.31/4.84 (( 32.31/4.84 (Y4 @ 32.31/4.84 Y5 @ 32.31/4.84 Y6) & 32.31/4.84 (Y4 @ 32.31/4.84 Y6 @ Y7))) => 32.31/4.84 (Y4 @ 32.31/4.84 Y5 @ Y7)))))))))))) & 32.31/4.84 (( 32.31/4.84 (!!) @ ( 32.31/4.84 ^[Y5 : a]: 32.31/4.84 (( 32.31/4.84 (!!) @ ( 32.31/4.84 ^[Y6 : a]: 32.31/4.84 (( 32.31/4.84 ('#sk1' @ 32.31/4.84 Y5 @ 32.31/4.84 Y6) => 32.31/4.84 (Y4 @ 32.31/4.84 Y5 @ Y6))))))))))) => 32.31/4.84 (Y4 @ 32.31/4.84 Y2 @ Y3)))))))) => 32.31/4.84 (((!!) @ ( 32.31/4.84 ^[Y4 : 32.31/4.84 a > a > $o]: 32.31/4.84 (((( 32.31/4.84 (( 32.31/4.84 (!!) @ ( 32.31/4.84 ^[Y5 : a]: 32.31/4.84 (( 32.31/4.84 (!!) @ ( 32.31/4.84 ^[Y6 : a]: 32.31/4.84 (( 32.31/4.84 (( 32.31/4.84 ('#sk1' @ 32.31/4.84 Y5 @ 32.31/4.84 Y6) | 32.31/4.84 ('#sk2' @ 32.31/4.84 Y5 @ Y6))) => 32.31/4.84 (Y4 @ 32.31/4.84 Y5 @ Y6))))))))) & 32.31/4.84 (( 32.31/4.84 (!!) @ ( 32.31/4.84 ^[Y5 : a]: 32.31/4.84 (( 32.31/4.84 (!!) @ ( 32.31/4.84 ^[Y6 : a]: 32.31/4.84 (( 32.31/4.84 (!!) @ ( 32.31/4.84 ^[Y7 : a]: 32.31/4.84 (( 32.31/4.84 (( 32.31/4.84 (Y4 @ 32.31/4.84 Y6 @ 32.31/4.84 Y7) & 32.31/4.84 (Y4 @ 32.31/4.84 Y5 @ Y6))) => 32.31/4.84 (Y4 @ 32.31/4.84 Y5 @ Y7)))))))))))))) => 32.31/4.84 (Y4 @ 32.31/4.84 Y2 @ Y3)))))))))))))) & 32.31/4.84 (((!!) @ (^[Y2 : a]: 32.31/4.84 (((!!) @ (^[Y3 : a]: 32.31/4.84 (((!!) @ ( 32.31/4.84 ^[Y4 : a]: 32.31/4.84 (((((( 32.31/4.84 (!!) @ ( 32.31/4.84 ^[Y5 : 32.31/4.84 a > a > $o]: 32.31/4.84 (( 32.31/4.84 (( 32.31/4.84 (( 32.31/4.84 (!!) @ ( 32.31/4.84 ^[Y6 : a]: 32.31/4.84 (( 32.31/4.84 (!!) @ ( 32.31/4.84 ^[Y7 : a]: 32.31/4.84 (( 32.31/4.84 (( 32.31/4.84 ('#sk2' @ 32.31/4.84 Y6 @ 32.31/4.84 Y7) | 32.31/4.84 ('#sk1' @ 32.31/4.84 Y6 @ Y7))) => 32.31/4.84 (Y5 @ 32.31/4.84 Y6 @ Y7))))))))) & 32.31/4.84 (( 32.31/4.84 (!!) @ ( 32.31/4.84 ^[Y6 : a]: 32.31/4.84 (( 32.31/4.84 (!!) @ ( 32.31/4.84 ^[Y7 : a]: 32.31/4.84 (( 32.31/4.84 (!!) @ ( 32.31/4.84 ^[Y8 : a]: 32.31/4.84 (( 32.31/4.84 (( 32.31/4.84 (Y5 @ 32.31/4.84 Y6 @ 32.31/4.84 Y7) & 32.31/4.84 (Y5 @ 32.31/4.84 Y7 @ Y8))) => 32.31/4.84 (Y5 @ 32.31/4.84 Y6 @ Y8)))))))))))))) => 32.31/4.84 (Y5 @ 32.31/4.84 Y2 @ Y3)))))) & 32.31/4.84 (( 32.31/4.84 (!!) @ ( 32.31/4.84 ^[Y5 : 32.31/4.84 a > a > $o]: 32.31/4.84 (( 32.31/4.84 (( 32.31/4.84 (( 32.31/4.84 (!!) @ ( 32.31/4.84 ^[Y6 : a]: 32.31/4.84 (( 32.31/4.84 (!!) @ ( 32.31/4.84 ^[Y7 : a]: 32.31/4.84 (( 32.31/4.84 (( 32.31/4.84 ('#sk2' @ 32.31/4.84 Y6 @ 32.31/4.84 Y7) | 32.31/4.84 ('#sk1' @ 32.31/4.84 Y6 @ Y7))) => 32.31/4.84 (Y5 @ 32.31/4.84 Y6 @ Y7))))))))) & 32.31/4.84 (( 32.31/4.84 (!!) @ ( 32.31/4.84 ^[Y6 : a]: 32.31/4.84 (( 32.31/4.84 (!!) @ ( 32.31/4.84 ^[Y7 : a]: 32.31/4.84 (( 32.31/4.84 (!!) @ ( 32.31/4.84 ^[Y8 : a]: 32.31/4.84 (( 32.31/4.84 (( 32.31/4.84 (Y5 @ 32.31/4.84 Y7 @ 32.31/4.84 Y8) & 32.31/4.84 (Y5 @ 32.31/4.84 Y6 @ Y7))) => 32.31/4.84 (Y5 @ 32.31/4.84 Y6 @ Y8)))))))))))))) => 32.31/4.84 (Y5 @ 32.31/4.84 Y3 @ Y4)))))))) => 32.31/4.84 (((!!) @ ( 32.31/4.84 ^[Y5 : 32.31/4.84 a > a > $o]: 32.31/4.84 (( 32.31/4.84 (( 32.31/4.84 (( 32.31/4.84 (!!) @ ( 32.31/4.84 ^[Y6 : a]: 32.31/4.84 (( 32.31/4.84 (!!) @ ( 32.31/4.84 ^[Y7 : a]: 32.31/4.84 (( 32.31/4.84 (!!) @ ( 32.31/4.84 ^[Y8 : a]: 32.31/4.84 (( 32.31/4.84 (( 32.31/4.84 (Y5 @ 32.31/4.84 Y6 @ 32.31/4.84 Y7) & 32.31/4.84 (Y5 @ 32.31/4.84 Y7 @ Y8))) => 32.31/4.84 (Y5 @ 32.31/4.84 Y6 @ Y8)))))))))))) & 32.31/4.84 (( 32.31/4.84 (!!) @ ( 32.31/4.84 ^[Y6 : a]: 32.31/4.84 (( 32.31/4.84 (!!) @ ( 32.31/4.84 ^[Y7 : a]: 32.31/4.84 (( 32.31/4.84 (( 32.31/4.84 ('#sk1' @ 32.31/4.84 Y6 @ 32.31/4.84 Y7) | 32.31/4.84 ('#sk2' @ 32.31/4.84 Y6 @ Y7))) => 32.31/4.84 (Y5 @ 32.31/4.84 Y6 @ Y7))))))))))) => 32.31/4.84 (Y5 @ 32.31/4.84 Y2 @ Y4))))))))))))))))))) | 32.31/4.84 (((!!) @ (^[Y2 : a > a > $o]: 32.31/4.84 (((((((!!) @ (^[Y3 : a]: 32.31/4.84 (((!!) @ ( 32.31/4.84 ^[Y4 : a]: 32.31/4.84 (((!!) @ ( 32.31/4.84 ^[Y5 : a]: 32.31/4.84 (( 32.31/4.84 (( 32.31/4.84 (Y2 @ 32.31/4.84 Y3 @ 32.31/4.84 Y4) & 32.31/4.84 (Y2 @ 32.31/4.84 Y4 @ Y5))) => 32.31/4.84 (Y2 @ 32.31/4.84 Y3 @ Y5)))))))))))) & 32.31/4.84 (((!!) @ (^[Y3 : a]: 32.31/4.84 (((!!) @ ( 32.31/4.84 ^[Y4 : a]: 32.31/4.84 (((( 32.31/4.84 ('#sk2' @ 32.31/4.84 Y3 @ Y4) | 32.31/4.84 ('#sk1' @ 32.31/4.84 Y3 @ Y4))) => 32.31/4.84 (Y2 @ 32.31/4.84 Y3 @ Y4))))))))))) => 32.31/4.84 (Y2 @ Y0 @ Y1))))))))))))))), 32.31/4.84 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl1])). 32.31/4.84 thf(zip_derived_cl3, plain, 32.31/4.84 (~ (((!!) @ (^[Y0 : a]: 32.31/4.84 (((((((~) @ (((!!) @ (^[Y1 : a > a > $o]: 32.31/4.84 (((((((!!) @ (^[Y2 : a]: 32.31/4.84 (((!!) @ ( 32.31/4.84 ^[Y3 : a]: 32.31/4.84 ((((('#sk1' @ 32.31/4.84 Y2 @ Y3) | 32.31/4.84 ('#sk2' @ 32.31/4.84 Y2 @ Y3))) => 32.31/4.84 (Y1 @ Y2 @ 32.31/4.84 Y3))))))))) & 32.31/4.84 (((!!) @ (^[Y2 : a]: 32.31/4.84 (((!!) @ ( 32.31/4.84 ^[Y3 : a]: 32.31/4.84 (((!!) @ ( 32.31/4.84 ^[Y4 : a]: 32.31/4.84 (( 32.31/4.84 (( 32.31/4.84 (Y1 @ 32.31/4.84 Y3 @ 32.31/4.84 Y4) & 32.31/4.84 (Y1 @ 32.31/4.84 Y2 @ Y3))) => 32.31/4.84 (Y1 @ 32.31/4.84 Y2 @ Y4)))))))))))))) => 32.31/4.84 (Y1 @ '#sk3' @ Y0)))))))) & 32.31/4.84 (((!!) @ (^[Y1 : a]: 32.31/4.84 (((!!) @ (^[Y2 : a]: 32.31/4.84 (((((((!!) @ (^[Y3 : a > a > $o]: 32.31/4.84 (((((( 32.31/4.84 (!!) @ ( 32.31/4.84 ^[Y4 : a]: 32.31/4.84 (( 32.31/4.84 (!!) @ ( 32.31/4.84 ^[Y5 : a]: 32.31/4.84 (( 32.31/4.84 (!!) @ ( 32.31/4.84 ^[Y6 : a]: 32.31/4.84 (( 32.31/4.84 (( 32.31/4.84 (Y3 @ 32.31/4.84 Y4 @ 32.31/4.84 Y5) & 32.31/4.84 (Y3 @ 32.31/4.84 Y5 @ Y6))) => 32.31/4.84 (Y3 @ 32.31/4.84 Y4 @ Y6)))))))))))) & 32.31/4.84 (( 32.31/4.84 (!!) @ ( 32.31/4.84 ^[Y4 : a]: 32.31/4.84 (( 32.31/4.84 (!!) @ ( 32.31/4.84 ^[Y5 : a]: 32.31/4.84 (( 32.31/4.84 ('#sk2' @ 32.31/4.84 Y4 @ 32.31/4.84 Y5) => 32.31/4.84 (Y3 @ 32.31/4.84 Y4 @ Y5))))))))))) => 32.31/4.84 (Y3 @ Y1 @ 32.31/4.84 Y2)))))) | 32.31/4.84 (((!!) @ (^[Y3 : a > a > $o]: 32.31/4.84 (((((( 32.31/4.84 (!!) @ ( 32.31/4.84 ^[Y4 : a]: 32.31/4.84 (( 32.31/4.84 (!!) @ ( 32.31/4.84 ^[Y5 : a]: 32.31/4.84 (( 32.31/4.84 (!!) @ ( 32.31/4.84 ^[Y6 : a]: 32.31/4.84 (( 32.31/4.84 (( 32.31/4.84 (Y3 @ 32.31/4.84 Y4 @ 32.31/4.84 Y5) & 32.31/4.84 (Y3 @ 32.31/4.84 Y5 @ Y6))) => 32.31/4.84 (Y3 @ 32.31/4.84 Y4 @ Y6)))))))))))) & 32.31/4.84 (( 32.31/4.84 (!!) @ ( 32.31/4.84 ^[Y4 : a]: 32.31/4.84 (( 32.31/4.84 (!!) @ ( 32.31/4.84 ^[Y5 : a]: 32.31/4.84 (( 32.31/4.84 ('#sk1' @ 32.31/4.84 Y4 @ 32.31/4.84 Y5) => 32.31/4.84 (Y3 @ 32.31/4.84 Y4 @ Y5))))))))))) => 32.31/4.84 (Y3 @ Y1 @ 32.31/4.84 Y2)))))))) => 32.31/4.84 (((!!) @ (^[Y3 : a > a > $o]: 32.31/4.84 (((((((!!) @ ( 32.31/4.84 ^[Y4 : a]: 32.31/4.84 (( 32.31/4.84 (!!) @ ( 32.31/4.84 ^[Y5 : a]: 32.31/4.84 (( 32.31/4.84 (( 32.31/4.84 ('#sk1' @ 32.31/4.84 Y4 @ 32.31/4.84 Y5) | 32.31/4.84 ('#sk2' @ 32.31/4.84 Y4 @ Y5))) => 32.31/4.84 (Y3 @ 32.31/4.84 Y4 @ Y5))))))))) & 32.31/4.84 (((!!) @ ( 32.31/4.84 ^[Y4 : a]: 32.31/4.84 (( 32.31/4.84 (!!) @ ( 32.31/4.84 ^[Y5 : a]: 32.31/4.84 (( 32.31/4.84 (!!) @ ( 32.31/4.84 ^[Y6 : a]: 32.31/4.84 (( 32.31/4.84 (( 32.31/4.84 (Y3 @ 32.31/4.84 Y5 @ 32.31/4.84 Y6) & 32.31/4.84 (Y3 @ 32.31/4.84 Y4 @ Y5))) => 32.31/4.84 (Y3 @ 32.31/4.84 Y4 @ Y6)))))))))))))) => 32.31/4.84 (Y3 @ Y1 @ Y2)))))))))))))) & 32.31/4.84 (((!!) @ (^[Y1 : a]: 32.31/4.84 (((!!) @ (^[Y2 : a]: 32.31/4.84 (((!!) @ (^[Y3 : a]: 32.31/4.84 (((((((!!) @ ( 32.31/4.84 ^[Y4 : 32.31/4.84 a > a > $o]: 32.31/4.84 (( 32.31/4.84 (( 32.31/4.84 (( 32.31/4.84 (!!) @ ( 32.31/4.84 ^[Y5 : a]: 32.31/4.84 (( 32.31/4.84 (!!) @ ( 32.31/4.84 ^[Y6 : a]: 32.31/4.84 (( 32.31/4.84 (( 32.31/4.84 ('#sk2' @ 32.31/4.84 Y5 @ 32.31/4.84 Y6) | 32.31/4.84 ('#sk1' @ 32.31/4.84 Y5 @ Y6))) => 32.31/4.84 (Y4 @ 32.31/4.84 Y5 @ Y6))))))))) & 32.31/4.84 (( 32.31/4.84 (!!) @ ( 32.31/4.84 ^[Y5 : a]: 32.31/4.84 (( 32.31/4.84 (!!) @ ( 32.31/4.84 ^[Y6 : a]: 32.31/4.84 (( 32.31/4.84 (!!) @ ( 32.31/4.84 ^[Y7 : a]: 32.31/4.84 (( 32.31/4.84 (( 32.31/4.84 (Y4 @ 32.31/4.84 Y5 @ 32.31/4.84 Y6) & 32.31/4.84 (Y4 @ 32.31/4.84 Y6 @ Y7))) => 32.31/4.84 (Y4 @ 32.31/4.84 Y5 @ Y7)))))))))))))) => 32.31/4.84 (Y4 @ 32.31/4.84 Y1 @ Y2)))))) & 32.31/4.84 (((!!) @ ( 32.31/4.84 ^[Y4 : 32.31/4.84 a > a > $o]: 32.31/4.84 (( 32.31/4.84 (( 32.31/4.84 (( 32.31/4.84 (!!) @ ( 32.31/4.84 ^[Y5 : a]: 32.31/4.84 (( 32.31/4.84 (!!) @ ( 32.31/4.84 ^[Y6 : a]: 32.31/4.84 (( 32.31/4.84 (( 32.31/4.84 ('#sk2' @ 32.31/4.84 Y5 @ 32.31/4.84 Y6) | 32.31/4.84 ('#sk1' @ 32.31/4.84 Y5 @ Y6))) => 32.31/4.84 (Y4 @ 32.31/4.84 Y5 @ Y6))))))))) & 32.31/4.84 (( 32.31/4.84 (!!) @ ( 32.31/4.84 ^[Y5 : a]: 32.31/4.84 (( 32.31/4.84 (!!) @ ( 32.31/4.84 ^[Y6 : a]: 32.31/4.84 (( 32.31/4.84 (!!) @ ( 32.31/4.84 ^[Y7 : a]: 32.31/4.84 (( 32.31/4.84 (( 32.31/4.84 (Y4 @ 32.31/4.84 Y6 @ 32.31/4.84 Y7) & 32.31/4.84 (Y4 @ 32.31/4.84 Y5 @ Y6))) => 32.31/4.84 (Y4 @ 32.31/4.84 Y5 @ Y7)))))))))))))) => 32.31/4.84 (Y4 @ 32.31/4.84 Y2 @ Y3)))))))) => 32.31/4.84 (((!!) @ ( 32.31/4.84 ^[Y4 : 32.31/4.84 a > a > $o]: 32.31/4.84 (((( 32.31/4.84 (( 32.31/4.84 (!!) @ ( 32.31/4.84 ^[Y5 : a]: 32.31/4.84 (( 32.31/4.84 (!!) @ ( 32.31/4.84 ^[Y6 : a]: 32.31/4.84 (( 32.31/4.84 (!!) @ ( 32.31/4.84 ^[Y7 : a]: 32.31/4.84 (( 32.31/4.84 (( 32.31/4.84 (Y4 @ 32.31/4.84 Y5 @ 32.31/4.84 Y6) & 32.31/4.84 (Y4 @ 32.31/4.84 Y6 @ Y7))) => 32.31/4.84 (Y4 @ 32.31/4.84 Y5 @ Y7)))))))))))) & 32.31/4.84 (( 32.31/4.84 (!!) @ ( 32.31/4.84 ^[Y5 : a]: 32.31/4.84 (( 32.31/4.84 (!!) @ ( 32.31/4.84 ^[Y6 : a]: 32.31/4.84 (( 32.31/4.84 (( 32.31/4.84 ('#sk1' @ 32.31/4.84 Y5 @ 32.31/4.84 Y6) | 32.31/4.84 ('#sk2' @ 32.31/4.84 Y5 @ Y6))) => 32.31/4.84 (Y4 @ 32.31/4.84 Y5 @ Y6))))))))))) => 32.31/4.84 (Y4 @ 32.31/4.84 Y1 @ Y3))))))))))))))))))) | 32.31/4.84 (((!!) @ (^[Y1 : a > a > $o]: 32.31/4.84 (((((((!!) @ (^[Y2 : a]: 32.31/4.84 (((!!) @ (^[Y3 : a]: 32.31/4.84 (((!!) @ ( 32.31/4.84 ^[Y4 : a]: 32.31/4.84 (((( 32.31/4.84 (Y1 @ 32.31/4.84 Y2 @ Y3) & 32.31/4.84 (Y1 @ 32.31/4.84 Y3 @ Y4))) => 32.31/4.84 (Y1 @ 32.31/4.84 Y2 @ Y4)))))))))))) & 32.31/4.84 (((!!) @ (^[Y2 : a]: 32.31/4.84 (((!!) @ (^[Y3 : a]: 32.31/4.84 ((((('#sk2' @ 32.31/4.84 Y2 @ Y3) | 32.31/4.84 ('#sk1' @ 32.31/4.84 Y2 @ Y3))) => 32.31/4.84 (Y1 @ Y2 @ Y3))))))))))) => 32.31/4.84 (Y1 @ '#sk3' @ Y0)))))))))))), 32.31/4.84 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl2])). 32.31/4.84 thf(zip_derived_cl4, plain, 32.31/4.84 (~ (((((((~) @ (((!!) @ (^[Y0 : a > a > $o]: 32.31/4.84 (((((((!!) @ (^[Y1 : a]: 32.31/4.84 (((!!) @ (^[Y2 : a]: 32.31/4.84 ((((('#sk1' @ 32.31/4.84 Y1 @ Y2) | 32.31/4.84 ('#sk2' @ 32.31/4.84 Y1 @ Y2))) => 32.31/4.84 (Y0 @ Y1 @ Y2))))))))) & 32.31/4.84 (((!!) @ (^[Y1 : a]: 32.31/4.84 (((!!) @ (^[Y2 : a]: 32.31/4.84 (((!!) @ ( 32.31/4.84 ^[Y3 : a]: 32.31/4.84 (((((Y0 @ 32.31/4.84 Y2 @ Y3) & 32.31/4.84 (Y0 @ 32.31/4.84 Y1 @ Y2))) => 32.31/4.84 (Y0 @ Y1 @ 32.31/4.84 Y3)))))))))))))) => 32.31/4.84 (Y0 @ '#sk3' @ '#sk4')))))))) & 32.31/4.84 (((!!) @ (^[Y0 : a]: 32.31/4.84 (((!!) @ (^[Y1 : a]: 32.31/4.84 (((((((!!) @ (^[Y2 : a > a > $o]: 32.31/4.84 (((((((!!) @ (^[Y3 : a]: 32.31/4.84 (( 32.31/4.84 (!!) @ ( 32.31/4.84 ^[Y4 : a]: 32.31/4.84 (( 32.31/4.84 (!!) @ ( 32.31/4.84 ^[Y5 : a]: 32.31/4.84 (( 32.31/4.84 (( 32.31/4.84 (Y2 @ 32.31/4.84 Y3 @ 32.31/4.84 Y4) & 32.31/4.84 (Y2 @ 32.31/4.84 Y4 @ Y5))) => 32.31/4.84 (Y2 @ 32.31/4.84 Y3 @ Y5)))))))))))) & 32.31/4.84 (((!!) @ (^[Y3 : a]: 32.31/4.84 (( 32.31/4.84 (!!) @ ( 32.31/4.84 ^[Y4 : a]: 32.31/4.84 (( 32.31/4.84 ('#sk2' @ 32.31/4.84 Y3 @ 32.31/4.84 Y4) => 32.31/4.84 (Y2 @ 32.31/4.84 Y3 @ Y4))))))))))) => 32.31/4.84 (Y2 @ Y0 @ Y1)))))) | 32.31/4.84 (((!!) @ (^[Y2 : a > a > $o]: 32.31/4.84 (((((((!!) @ (^[Y3 : a]: 32.31/4.84 (( 32.31/4.84 (!!) @ ( 32.31/4.84 ^[Y4 : a]: 32.31/4.84 (( 32.31/4.84 (!!) @ ( 32.31/4.84 ^[Y5 : a]: 32.31/4.84 (( 32.31/4.84 (( 32.31/4.84 (Y2 @ 32.31/4.84 Y3 @ 32.31/4.84 Y4) & 32.31/4.84 (Y2 @ 32.31/4.84 Y4 @ Y5))) => 32.31/4.84 (Y2 @ 32.31/4.84 Y3 @ Y5)))))))))))) & 32.31/4.84 (((!!) @ (^[Y3 : a]: 32.31/4.84 (( 32.31/4.84 (!!) @ ( 32.31/4.84 ^[Y4 : a]: 32.31/4.84 (( 32.31/4.84 ('#sk1' @ 32.31/4.84 Y3 @ 32.31/4.84 Y4) => 32.31/4.84 (Y2 @ 32.31/4.84 Y3 @ Y4))))))))))) => 32.31/4.84 (Y2 @ Y0 @ Y1)))))))) => 32.31/4.84 (((!!) @ (^[Y2 : a > a > $o]: 32.31/4.84 (((((((!!) @ (^[Y3 : a]: 32.31/4.84 (((!!) @ ( 32.31/4.84 ^[Y4 : a]: 32.31/4.84 (( 32.31/4.84 (( 32.31/4.84 ('#sk1' @ 32.31/4.84 Y3 @ 32.31/4.84 Y4) | 32.31/4.84 ('#sk2' @ 32.31/4.84 Y3 @ Y4))) => 32.31/4.84 (Y2 @ 32.31/4.84 Y3 @ Y4))))))))) & 32.31/4.84 (((!!) @ (^[Y3 : a]: 32.31/4.84 (((!!) @ ( 32.31/4.84 ^[Y4 : a]: 32.31/4.84 (( 32.31/4.84 (!!) @ ( 32.31/4.84 ^[Y5 : a]: 32.31/4.84 (( 32.31/4.84 (( 32.31/4.84 (Y2 @ 32.31/4.84 Y4 @ 32.31/4.84 Y5) & 32.31/4.84 (Y2 @ 32.31/4.84 Y3 @ Y4))) => 32.31/4.84 (Y2 @ 32.31/4.84 Y3 @ Y5)))))))))))))) => 32.31/4.84 (Y2 @ Y0 @ Y1)))))))))))))) & 32.31/4.84 (((!!) @ (^[Y0 : a]: 32.31/4.84 (((!!) @ (^[Y1 : a]: 32.31/4.84 (((!!) @ (^[Y2 : a]: 32.31/4.84 (((((((!!) @ (^[Y3 : a > a > $o]: 32.31/4.84 (((((( 32.31/4.84 (!!) @ ( 32.31/4.84 ^[Y4 : a]: 32.31/4.84 (( 32.31/4.84 (!!) @ ( 32.31/4.84 ^[Y5 : a]: 32.31/4.84 (( 32.31/4.84 (( 32.31/4.84 ('#sk2' @ 32.31/4.84 Y4 @ 32.31/4.84 Y5) | 32.31/4.84 ('#sk1' @ 32.31/4.84 Y4 @ Y5))) => 32.31/4.84 (Y3 @ 32.31/4.84 Y4 @ Y5))))))))) & 32.31/4.84 (( 32.31/4.84 (!!) @ ( 32.31/4.84 ^[Y4 : a]: 32.31/4.84 (( 32.31/4.84 (!!) @ ( 32.31/4.84 ^[Y5 : a]: 32.31/4.84 (( 32.31/4.84 (!!) @ ( 32.31/4.84 ^[Y6 : a]: 32.31/4.84 (( 32.31/4.84 (( 32.31/4.84 (Y3 @ 32.31/4.84 Y4 @ 32.31/4.84 Y5) & 32.31/4.84 (Y3 @ 32.31/4.84 Y5 @ Y6))) => 32.31/4.84 (Y3 @ 32.31/4.84 Y4 @ Y6)))))))))))))) => 32.31/4.84 (Y3 @ Y0 @ 32.31/4.84 Y1)))))) & 32.31/4.84 (((!!) @ (^[Y3 : a > a > $o]: 32.31/4.84 (((((( 32.31/4.84 (!!) @ ( 32.31/4.84 ^[Y4 : a]: 32.31/4.84 (( 32.31/4.84 (!!) @ ( 32.31/4.84 ^[Y5 : a]: 32.31/4.84 (( 32.31/4.84 (( 32.31/4.84 ('#sk2' @ 32.31/4.84 Y4 @ 32.31/4.84 Y5) | 32.31/4.84 ('#sk1' @ 32.31/4.84 Y4 @ Y5))) => 32.31/4.84 (Y3 @ 32.31/4.84 Y4 @ Y5))))))))) & 32.31/4.84 (( 32.31/4.84 (!!) @ ( 32.31/4.84 ^[Y4 : a]: 32.31/4.84 (( 32.31/4.84 (!!) @ ( 32.31/4.84 ^[Y5 : a]: 32.31/4.84 (( 32.31/4.84 (!!) @ ( 32.31/4.84 ^[Y6 : a]: 32.31/4.84 (( 32.31/4.84 (( 32.31/4.84 (Y3 @ 32.31/4.84 Y5 @ 32.31/4.84 Y6) & 32.31/4.84 (Y3 @ 32.31/4.84 Y4 @ Y5))) => 32.31/4.84 (Y3 @ 32.31/4.84 Y4 @ Y6)))))))))))))) => 32.31/4.84 (Y3 @ Y1 @ 32.31/4.84 Y2)))))))) => 32.31/4.84 (((!!) @ (^[Y3 : a > a > $o]: 32.31/4.84 (((((((!!) @ ( 32.31/4.84 ^[Y4 : a]: 32.31/4.84 (( 32.31/4.84 (!!) @ ( 32.31/4.84 ^[Y5 : a]: 32.31/4.84 (( 32.31/4.84 (!!) @ ( 32.31/4.84 ^[Y6 : a]: 32.31/4.84 (( 32.31/4.84 (( 32.31/4.84 (Y3 @ 32.31/4.84 Y4 @ 32.31/4.84 Y5) & 32.31/4.84 (Y3 @ 32.31/4.84 Y5 @ Y6))) => 32.31/4.84 (Y3 @ 32.31/4.84 Y4 @ Y6)))))))))))) & 32.31/4.84 (((!!) @ ( 32.31/4.84 ^[Y4 : a]: 32.31/4.84 (( 32.31/4.84 (!!) @ ( 32.31/4.84 ^[Y5 : a]: 32.31/4.84 (( 32.31/4.84 (( 32.31/4.84 ('#sk1' @ 32.31/4.84 Y4 @ 32.31/4.84 Y5) | 32.31/4.84 ('#sk2' @ 32.31/4.84 Y4 @ Y5))) => 32.31/4.84 (Y3 @ 32.31/4.84 Y4 @ Y5))))))))))) => 32.31/4.84 (Y3 @ Y0 @ Y2))))))))))))))))))) | 32.31/4.84 (((!!) @ (^[Y0 : a > a > $o]: 32.31/4.84 (((((((!!) @ (^[Y1 : a]: 32.31/4.84 (((!!) @ (^[Y2 : a]: 32.31/4.84 (((!!) @ (^[Y3 : a]: 32.31/4.84 (((((Y0 @ Y1 @ 32.31/4.84 Y2) & (Y0 @ 32.31/4.84 Y2 @ Y3))) => 32.31/4.84 (Y0 @ Y1 @ Y3)))))))))))) & 32.31/4.84 (((!!) @ (^[Y1 : a]: 32.31/4.84 (((!!) @ (^[Y2 : a]: 32.31/4.84 ((((('#sk2' @ Y1 @ Y2) | 32.31/4.84 ('#sk1' @ Y1 @ Y2))) => 32.31/4.84 (Y0 @ Y1 @ Y2))))))))))) => 32.31/4.84 (Y0 @ '#sk3' @ '#sk4'))))))))), 32.31/4.84 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl3])). 32.31/4.84 thf(zip_derived_cl5, plain, 32.31/4.84 (~ (((((~) @ (((!!) @ (^[Y0 : a > a > $o]: 32.31/4.84 (((((((!!) @ (^[Y1 : a]: 32.31/4.84 (((!!) @ (^[Y2 : a]: 32.31/4.84 ((((('#sk1' @ Y1 @ 32.31/4.84 Y2) | ('#sk2' @ 32.31/4.84 Y1 @ Y2))) => 32.31/4.84 (Y0 @ Y1 @ Y2))))))))) & 32.31/4.84 (((!!) @ (^[Y1 : a]: 32.31/4.84 (((!!) @ (^[Y2 : a]: 32.31/4.84 (((!!) @ (^[Y3 : a]: 32.31/4.84 (( 32.31/4.84 (( 32.31/4.84 (Y0 @ 32.31/4.84 Y2 @ 32.31/4.84 Y3) & 32.31/4.84 (Y0 @ 32.31/4.84 Y1 @ Y2))) => 32.31/4.84 (Y0 @ 32.31/4.84 Y1 @ Y3)))))))))))))) => 32.31/4.84 (Y0 @ '#sk3' @ '#sk4')))))))) & 32.31/4.84 (((!!) @ (^[Y0 : a]: 32.31/4.84 (((!!) @ (^[Y1 : a]: 32.31/4.84 (((((((!!) @ (^[Y2 : a > a > $o]: 32.31/4.84 (((((((!!) @ (^[Y3 : a]: 32.31/4.84 (((!!) @ ( 32.31/4.84 ^[Y4 : a]: 32.31/4.84 (( 32.31/4.84 (!!) @ ( 32.31/4.84 ^[Y5 : a]: 32.31/4.84 (( 32.31/4.84 (( 32.31/4.84 (Y2 @ 32.31/4.84 Y3 @ 32.31/4.84 Y4) & 32.31/4.84 (Y2 @ 32.31/4.84 Y4 @ Y5))) => 32.31/4.84 (Y2 @ 32.31/4.84 Y3 @ Y5)))))))))))) & 32.31/4.84 (((!!) @ (^[Y3 : a]: 32.31/4.84 (((!!) @ ( 32.31/4.84 ^[Y4 : a]: 32.31/4.84 (( 32.31/4.84 ('#sk2' @ 32.31/4.84 Y3 @ 32.31/4.84 Y4) => 32.31/4.84 (Y2 @ 32.31/4.84 Y3 @ Y4))))))))))) => 32.31/4.84 (Y2 @ Y0 @ Y1)))))) | 32.31/4.84 (((!!) @ (^[Y2 : a > a > $o]: 32.31/4.84 (((((((!!) @ (^[Y3 : a]: 32.31/4.84 (((!!) @ ( 32.31/4.84 ^[Y4 : a]: 32.31/4.84 (( 32.31/4.84 (!!) @ ( 32.31/4.84 ^[Y5 : a]: 32.31/4.84 (( 32.31/4.84 (( 32.31/4.84 (Y2 @ 32.31/4.84 Y3 @ 32.31/4.84 Y4) & 32.31/4.84 (Y2 @ 32.31/4.84 Y4 @ Y5))) => 32.31/4.84 (Y2 @ 32.31/4.84 Y3 @ Y5)))))))))))) & 32.31/4.84 (((!!) @ (^[Y3 : a]: 32.31/4.84 (((!!) @ ( 32.31/4.84 ^[Y4 : a]: 32.31/4.84 (( 32.31/4.84 ('#sk1' @ 32.31/4.84 Y3 @ 32.31/4.84 Y4) => 32.31/4.84 (Y2 @ 32.31/4.84 Y3 @ Y4))))))))))) => 32.31/4.84 (Y2 @ Y0 @ Y1)))))))) => 32.31/4.84 (((!!) @ (^[Y2 : a > a > $o]: 32.31/4.84 (((((((!!) @ (^[Y3 : a]: 32.31/4.84 (((!!) @ ( 32.31/4.84 ^[Y4 : a]: 32.31/4.84 (( 32.31/4.84 (( 32.31/4.84 ('#sk1' @ 32.31/4.84 Y3 @ 32.31/4.84 Y4) | 32.31/4.84 ('#sk2' @ 32.31/4.84 Y3 @ Y4))) => 32.31/4.84 (Y2 @ 32.31/4.84 Y3 @ Y4))))))))) & 32.31/4.84 (((!!) @ (^[Y3 : a]: 32.31/4.84 (((!!) @ ( 32.31/4.84 ^[Y4 : a]: 32.31/4.84 (( 32.31/4.84 (!!) @ ( 32.31/4.84 ^[Y5 : a]: 32.31/4.84 (( 32.31/4.84 (( 32.31/4.84 (Y2 @ 32.31/4.84 Y4 @ 32.31/4.84 Y5) & 32.31/4.84 (Y2 @ 32.31/4.84 Y3 @ Y4))) => 32.31/4.84 (Y2 @ 32.31/4.84 Y3 @ Y5)))))))))))))) => 32.31/4.84 (Y2 @ Y0 @ Y1)))))))))))))) & 32.31/4.84 (((!!) @ (^[Y0 : a]: 32.31/4.84 (((!!) @ (^[Y1 : a]: 32.31/4.84 (((!!) @ (^[Y2 : a]: 32.31/4.84 (((((((!!) @ (^[Y3 : a > a > $o]: 32.31/4.84 (((((((!!) @ ( 32.31/4.84 ^[Y4 : a]: 32.31/4.84 (( 32.31/4.84 (!!) @ ( 32.31/4.84 ^[Y5 : a]: 32.31/4.84 (( 32.31/4.84 (( 32.31/4.84 ('#sk2' @ 32.31/4.84 Y4 @ 32.31/4.84 Y5) | 32.31/4.84 ('#sk1' @ 32.31/4.84 Y4 @ Y5))) => 32.31/4.84 (Y3 @ 32.31/4.84 Y4 @ Y5))))))))) & 32.31/4.84 (((!!) @ ( 32.31/4.84 ^[Y4 : a]: 32.31/4.84 (( 32.31/4.84 (!!) @ ( 32.31/4.84 ^[Y5 : a]: 32.31/4.84 (( 32.31/4.84 (!!) @ ( 32.31/4.84 ^[Y6 : a]: 32.31/4.84 (( 32.31/4.84 (( 32.31/4.84 (Y3 @ 32.31/4.84 Y4 @ 32.31/4.84 Y5) & 32.31/4.84 (Y3 @ 32.31/4.84 Y5 @ Y6))) => 32.31/4.84 (Y3 @ 32.31/4.84 Y4 @ Y6)))))))))))))) => 32.31/4.84 (Y3 @ Y0 @ Y1)))))) & 32.31/4.84 (((!!) @ (^[Y3 : a > a > $o]: 32.31/4.84 (((((((!!) @ ( 32.31/4.84 ^[Y4 : a]: 32.31/4.84 (( 32.31/4.84 (!!) @ ( 32.31/4.84 ^[Y5 : a]: 32.31/4.84 (( 32.31/4.84 (( 32.31/4.84 ('#sk2' @ 32.31/4.84 Y4 @ 32.31/4.84 Y5) | 32.31/4.84 ('#sk1' @ 32.31/4.84 Y4 @ Y5))) => 32.31/4.84 (Y3 @ 32.31/4.84 Y4 @ Y5))))))))) & 32.31/4.84 (((!!) @ ( 32.31/4.84 ^[Y4 : a]: 32.31/4.84 (( 32.31/4.84 (!!) @ ( 32.31/4.84 ^[Y5 : a]: 32.31/4.84 (( 32.31/4.84 (!!) @ ( 32.31/4.84 ^[Y6 : a]: 32.31/4.84 (( 32.31/4.84 (( 32.31/4.84 (Y3 @ 32.31/4.84 Y5 @ 32.31/4.84 Y6) & 32.31/4.84 (Y3 @ 32.31/4.84 Y4 @ Y5))) => 32.31/4.84 (Y3 @ 32.31/4.84 Y4 @ Y6)))))))))))))) => 32.31/4.84 (Y3 @ Y1 @ Y2)))))))) => 32.31/4.84 (((!!) @ (^[Y3 : a > a > $o]: 32.31/4.84 (((((((!!) @ ( 32.31/4.84 ^[Y4 : a]: 32.31/4.84 (( 32.31/4.84 (!!) @ ( 32.31/4.84 ^[Y5 : a]: 32.31/4.84 (( 32.31/4.84 (!!) @ ( 32.31/4.84 ^[Y6 : a]: 32.31/4.84 (( 32.31/4.84 (( 32.31/4.84 (Y3 @ 32.31/4.84 Y4 @ 32.31/4.84 Y5) & 32.31/4.84 (Y3 @ 32.31/4.84 Y5 @ Y6))) => 32.31/4.84 (Y3 @ 32.31/4.84 Y4 @ Y6)))))))))))) & 32.31/4.84 (((!!) @ ( 32.31/4.84 ^[Y4 : a]: 32.31/4.84 (( 32.31/4.84 (!!) @ ( 32.31/4.84 ^[Y5 : a]: 32.31/4.84 (( 32.31/4.84 (( 32.31/4.84 ('#sk1' @ 32.31/4.84 Y4 @ 32.31/4.84 Y5) | 32.31/4.84 ('#sk2' @ 32.31/4.84 Y4 @ Y5))) => 32.31/4.84 (Y3 @ 32.31/4.84 Y4 @ Y5))))))))))) => 32.31/4.84 (Y3 @ Y0 @ Y2)))))))))))))))))))), 32.31/4.84 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl4])). 32.31/4.84 thf(zip_derived_cl7, plain, 32.31/4.84 (( (((!!) @ (^[Y0 : a > a > $o]: 32.31/4.84 (((((((!!) @ (^[Y1 : a]: 32.31/4.84 (((!!) @ (^[Y2 : a]: 32.31/4.84 ((((('#sk1' @ Y1 @ Y2) | 32.31/4.84 ('#sk2' @ Y1 @ Y2))) => 32.31/4.84 (Y0 @ Y1 @ Y2))))))))) & 32.31/4.84 (((!!) @ (^[Y1 : a]: 32.31/4.84 (((!!) @ (^[Y2 : a]: 32.31/4.84 (((!!) @ (^[Y3 : a]: 32.31/4.84 (((((Y0 @ Y2 @ 32.31/4.84 Y3) & (Y0 @ 32.31/4.84 Y1 @ Y2))) => 32.31/4.84 (Y0 @ Y1 @ Y3)))))))))))))) => 32.31/4.84 (Y0 @ '#sk3' @ '#sk4')))))) 32.31/4.84 | ~ (((!!) @ (^[Y0 : a]: 32.31/4.84 (((!!) @ (^[Y1 : a]: 32.31/4.84 (((((((!!) @ (^[Y2 : a > a > $o]: 32.31/4.84 (((((((!!) @ (^[Y3 : a]: 32.31/4.84 (((!!) @ ( 32.31/4.84 ^[Y4 : a]: 32.31/4.84 (( 32.31/4.84 (!!) @ ( 32.31/4.84 ^[Y5 : a]: 32.31/4.84 (( 32.31/4.84 (( 32.31/4.84 (Y2 @ 32.31/4.84 Y3 @ 32.31/4.84 Y4) & 32.31/4.84 (Y2 @ 32.31/4.84 Y4 @ Y5))) => 32.31/4.84 (Y2 @ 32.31/4.84 Y3 @ Y5)))))))))))) & 32.31/4.84 (((!!) @ (^[Y3 : a]: 32.31/4.84 (((!!) @ ( 32.31/4.84 ^[Y4 : a]: 32.31/4.84 (( 32.31/4.84 ('#sk2' @ 32.31/4.84 Y3 @ 32.31/4.84 Y4) => 32.31/4.84 (Y2 @ 32.31/4.84 Y3 @ Y4))))))))))) => 32.31/4.84 (Y2 @ Y0 @ Y1)))))) | 32.31/4.84 (((!!) @ (^[Y2 : a > a > $o]: 32.31/4.84 (((((((!!) @ (^[Y3 : a]: 32.31/4.84 (((!!) @ ( 32.31/4.84 ^[Y4 : a]: 32.31/4.84 (( 32.31/4.84 (!!) @ ( 32.31/4.84 ^[Y5 : a]: 32.31/4.84 (( 32.31/4.84 (( 32.31/4.84 (Y2 @ 32.31/4.84 Y3 @ 32.31/4.84 Y4) & 32.31/4.84 (Y2 @ 32.31/4.84 Y4 @ Y5))) => 32.31/4.84 (Y2 @ 32.31/4.84 Y3 @ Y5)))))))))))) & 32.31/4.84 (((!!) @ (^[Y3 : a]: 32.31/4.84 (((!!) @ ( 32.31/4.84 ^[Y4 : a]: 32.31/4.84 (( 32.31/4.84 ('#sk1' @ 32.31/4.84 Y3 @ 32.31/4.84 Y4) => 32.31/4.84 (Y2 @ 32.31/4.84 Y3 @ Y4))))))))))) => 32.31/4.84 (Y2 @ Y0 @ Y1)))))))) => 32.31/4.84 (((!!) @ (^[Y2 : a > a > $o]: 32.31/4.84 (((((((!!) @ (^[Y3 : a]: 32.31/4.84 (((!!) @ ( 32.31/4.84 ^[Y4 : a]: 32.31/4.84 ( 32.31/4.84 ( 32.31/4.84 (( 32.31/4.84 ('#sk1' @ 32.31/4.84 Y3 @ 32.31/4.84 Y4) | 32.31/4.84 ('#sk2' @ 32.31/4.84 Y3 @ Y4))) => 32.31/4.84 (Y2 @ 32.31/4.84 Y3 @ Y4))))))))) & 32.31/4.84 (((!!) @ (^[Y3 : a]: 32.31/4.84 (((!!) @ ( 32.31/4.84 ^[Y4 : a]: 32.31/4.84 ( 32.31/4.84 ( 32.31/4.84 (!!) @ ( 32.31/4.84 ^[Y5 : a]: 32.31/4.84 (( 32.31/4.84 (( 32.31/4.84 (Y2 @ 32.31/4.84 Y4 @ 32.31/4.84 Y5) & 32.31/4.84 (Y2 @ 32.31/4.84 Y3 @ Y4))) => 32.31/4.84 (Y2 @ 32.31/4.84 Y3 @ Y5)))))))))))))) => 32.31/4.84 (Y2 @ Y0 @ Y1)))))))))))))) 32.31/4.84 | ~ (((!!) @ (^[Y0 : a]: 32.31/4.84 (((!!) @ (^[Y1 : a]: 32.31/4.84 (((!!) @ (^[Y2 : a]: 32.31/4.84 (((((((!!) @ (^[Y3 : a > a > $o]: 32.31/4.84 (((((((!!) @ ( 32.31/4.84 ^[Y4 : a]: 32.31/4.84 (( 32.31/4.84 (!!) @ ( 32.31/4.84 ^[Y5 : a]: 32.31/4.84 (( 32.31/4.84 (( 32.31/4.84 ('#sk2' @ 32.31/4.84 Y4 @ 32.31/4.84 Y5) | 32.31/4.84 ('#sk1' @ 32.31/4.84 Y4 @ Y5))) => 32.31/4.84 (Y3 @ 32.31/4.84 Y4 @ Y5))))))))) & 32.31/4.84 (((!!) @ ( 32.31/4.84 ^[Y4 : a]: 32.31/4.84 (( 32.31/4.84 (!!) @ ( 32.31/4.84 ^[Y5 : a]: 32.31/4.84 (( 32.31/4.84 (!!) @ ( 32.31/4.84 ^[Y6 : a]: 32.31/4.84 (( 32.31/4.84 (( 32.31/4.84 (Y3 @ 32.31/4.84 Y4 @ 32.31/4.84 Y5) & 32.31/4.84 (Y3 @ 32.31/4.84 Y5 @ Y6))) => 32.31/4.84 (Y3 @ 32.31/4.84 Y4 @ Y6)))))))))))))) => 32.31/4.84 (Y3 @ Y0 @ 32.31/4.84 Y1)))))) & 32.31/4.84 (((!!) @ (^[Y3 : a > a > $o]: 32.31/4.84 (((((((!!) @ ( 32.31/4.84 ^[Y4 : a]: 32.31/4.84 (( 32.31/4.84 (!!) @ ( 32.31/4.84 ^[Y5 : a]: 32.31/4.84 (( 32.31/4.84 (( 32.31/4.84 ('#sk2' @ 32.31/4.84 Y4 @ 32.31/4.84 Y5) | 32.31/4.84 ('#sk1' @ 32.31/4.84 Y4 @ Y5))) => 32.31/4.84 (Y3 @ 32.31/4.84 Y4 @ Y5))))))))) & 32.31/4.84 (((!!) @ ( 32.31/4.84 ^[Y4 : a]: 32.31/4.84 (( 32.31/4.84 (!!) @ ( 32.31/4.84 ^[Y5 : a]: 32.31/4.84 (( 32.31/4.84 (!!) @ ( 32.31/4.84 ^[Y6 : a]: 32.31/4.84 (( 32.31/4.84 (( 32.31/4.84 (Y3 @ 32.31/4.84 Y5 @ 32.31/4.84 Y6) & 32.31/4.84 (Y3 @ 32.31/4.84 Y4 @ Y5))) => 32.31/4.84 (Y3 @ 32.31/4.84 Y4 @ Y6)))))))))))))) => 32.31/4.84 (Y3 @ Y1 @ 32.31/4.84 Y2)))))))) => 32.31/4.84 (((!!) @ (^[Y3 : a > a > $o]: 32.31/4.84 (((((((!!) @ ( 32.31/4.84 ^[Y4 : a]: 32.31/4.84 ( 32.31/4.84 ( 32.31/4.84 (!!) @ ( 32.31/4.84 ^[Y5 : a]: 32.31/4.84 (( 32.31/4.84 (!!) @ ( 32.31/4.84 ^[Y6 : a]: 32.31/4.84 (( 32.31/4.84 (( 32.31/4.84 (Y3 @ 32.31/4.84 Y4 @ 32.31/4.84 Y5) & 32.31/4.84 (Y3 @ 32.31/4.84 Y5 @ Y6))) => 32.31/4.84 (Y3 @ 32.31/4.84 Y4 @ Y6)))))))))))) & 32.31/4.84 (((!!) @ ( 32.31/4.84 ^[Y4 : a]: 32.31/4.84 ( 32.31/4.84 ( 32.31/4.84 (!!) @ ( 32.31/4.84 ^[Y5 : a]: 32.31/4.84 (( 32.31/4.84 (( 32.31/4.84 ('#sk1' @ 32.31/4.84 Y4 @ 32.31/4.84 Y5) | 32.31/4.84 ('#sk2' @ 32.31/4.84 Y4 @ Y5))) => 32.31/4.84 (Y3 @ 32.31/4.84 Y4 @ Y5))))))))))) => 32.31/4.84 (Y3 @ Y0 @ Y2))))))))))))))))))), 32.31/4.84 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl5])). 32.31/4.84 thf(zip_derived_cl9, plain, 32.31/4.84 (![X2 : a > a > $o]: 32.31/4.84 ( (((((((!!) @ (^[Y0 : a]: 32.31/4.84 (((!!) @ (^[Y1 : a]: 32.31/4.84 ((((('#sk1' @ Y0 @ Y1) | ('#sk2' @ Y0 @ 32.31/4.84 Y1))) => 32.31/4.84 (X2 @ Y0 @ Y1))))))))) & 32.31/4.84 (((!!) @ (^[Y0 : a]: 32.31/4.84 (((!!) @ (^[Y1 : a]: 32.31/4.84 (((!!) @ (^[Y2 : a]: 32.31/4.84 (((((X2 @ Y1 @ Y2) & (X2 @ 32.31/4.84 Y0 @ Y1))) => 32.31/4.84 (X2 @ Y0 @ Y2)))))))))))))) => 32.31/4.84 (X2 @ '#sk3' @ '#sk4'))) 32.31/4.84 | ~ (((!!) @ (^[Y0 : a]: 32.31/4.84 (((!!) @ (^[Y1 : a]: 32.31/4.84 (((!!) @ (^[Y2 : a]: 32.31/4.84 (((((((!!) @ (^[Y3 : 32.31/4.84 a > a > $o]: 32.31/4.84 (((((( 32.31/4.84 (!!) @ ( 32.31/4.84 ^[Y4 : a]: 32.31/4.84 (( 32.31/4.84 (!!) @ ( 32.31/4.84 ^[Y5 : a]: 32.31/4.84 (( 32.31/4.84 (( 32.31/4.84 ('#sk2' @ 32.31/4.84 Y4 @ 32.31/4.84 Y5) | 32.31/4.84 ('#sk1' @ 32.31/4.84 Y4 @ Y5))) => 32.31/4.84 (Y3 @ 32.31/4.84 Y4 @ Y5))))))))) & 32.31/4.84 (( 32.31/4.84 (!!) @ ( 32.31/4.84 ^[Y4 : a]: 32.31/4.84 (( 32.31/4.84 (!!) @ ( 32.31/4.84 ^[Y5 : a]: 32.31/4.84 (( 32.31/4.84 (!!) @ ( 32.31/4.84 ^[Y6 : a]: 32.31/4.84 (( 32.31/4.84 (( 32.31/4.84 (Y3 @ 32.31/4.84 Y4 @ 32.31/4.84 Y5) & 32.31/4.84 (Y3 @ 32.31/4.84 Y5 @ Y6))) => 32.31/4.84 (Y3 @ 32.31/4.84 Y4 @ Y6)))))))))))))) => 32.31/4.84 (Y3 @ Y0 @ 32.31/4.84 Y1)))))) & 32.31/4.84 (((!!) @ (^[Y3 : 32.31/4.84 a > a > $o]: 32.31/4.84 (((((( 32.31/4.84 (!!) @ ( 32.31/4.84 ^[Y4 : a]: 32.31/4.84 (( 32.31/4.84 (!!) @ ( 32.31/4.84 ^[Y5 : a]: 32.31/4.84 (( 32.31/4.84 (( 32.31/4.84 ('#sk2' @ 32.31/4.84 Y4 @ 32.31/4.84 Y5) | 32.31/4.84 ('#sk1' @ 32.31/4.84 Y4 @ Y5))) => 32.31/4.84 (Y3 @ 32.31/4.84 Y4 @ Y5))))))))) & 32.31/4.84 (( 32.31/4.84 (!!) @ ( 32.31/4.84 ^[Y4 : a]: 32.31/4.84 (( 32.31/4.84 (!!) @ ( 32.31/4.84 ^[Y5 : a]: 32.31/4.84 (( 32.31/4.84 (!!) @ ( 32.31/4.84 ^[Y6 : a]: 32.31/4.84 (( 32.31/4.84 (( 32.31/4.84 (Y3 @ 32.31/4.84 Y5 @ 32.31/4.84 Y6) & 32.31/4.84 (Y3 @ 32.31/4.84 Y4 @ Y5))) => 32.31/4.84 (Y3 @ 32.31/4.84 Y4 @ Y6)))))))))))))) => 32.31/4.84 (Y3 @ Y1 @ 32.31/4.84 Y2)))))))) => 32.31/4.84 (((!!) @ (^[Y3 : a > a > $o]: 32.31/4.84 (((((((!!) @ ( 32.31/4.84 ^[Y4 : a]: 32.31/4.84 (( 32.31/4.84 (!!) @ ( 32.31/4.84 ^[Y5 : a]: 32.31/4.84 (( 32.31/4.84 (!!) @ ( 32.31/4.84 ^[Y6 : a]: 32.31/4.84 (( 32.31/4.84 (( 32.31/4.84 (Y3 @ 32.31/4.84 Y4 @ 32.31/4.84 Y5) & 32.31/4.84 (Y3 @ 32.31/4.84 Y5 @ Y6))) => 32.31/4.84 (Y3 @ 32.31/4.84 Y4 @ Y6)))))))))))) & 32.31/4.84 (((!!) @ ( 32.31/4.84 ^[Y4 : a]: 32.31/4.84 (( 32.31/4.84 (!!) @ ( 32.31/4.84 ^[Y5 : a]: 32.31/4.84 (( 32.31/4.84 (( 32.31/4.84 ('#sk1' @ 32.31/4.84 Y4 @ 32.31/4.84 Y5) | 32.31/4.84 ('#sk2' @ 32.31/4.84 Y4 @ Y5))) => 32.31/4.84 (Y3 @ 32.31/4.84 Y4 @ Y5))))))))))) => 32.31/4.84 (Y3 @ Y0 @ 32.31/4.84 Y2))))))))))))))))) 32.31/4.84 | ~ (((!!) @ (^[Y0 : a]: 32.31/4.84 (((!!) @ (^[Y1 : a]: 32.31/4.84 (((((((!!) @ (^[Y2 : a > a > $o]: 32.31/4.84 (((((((!!) @ (^[Y3 : a]: 32.31/4.84 ( 32.31/4.84 ( 32.31/4.84 (!!) @ ( 32.31/4.84 ^[Y4 : a]: 32.31/4.84 (( 32.31/4.84 (!!) @ ( 32.31/4.84 ^[Y5 : a]: 32.31/4.84 (( 32.31/4.84 (( 32.31/4.84 (Y2 @ 32.31/4.84 Y3 @ 32.31/4.84 Y4) & 32.31/4.84 (Y2 @ 32.31/4.84 Y4 @ Y5))) => 32.31/4.84 (Y2 @ 32.31/4.84 Y3 @ Y5)))))))))))) & 32.31/4.84 (((!!) @ (^[Y3 : a]: 32.31/4.84 ( 32.31/4.84 ( 32.31/4.84 (!!) @ ( 32.31/4.84 ^[Y4 : a]: 32.31/4.84 (( 32.31/4.84 ('#sk2' @ 32.31/4.84 Y3 @ 32.31/4.84 Y4) => 32.31/4.84 (Y2 @ 32.31/4.84 Y3 @ Y4))))))))))) => 32.31/4.84 (Y2 @ Y0 @ Y1)))))) | 32.31/4.84 (((!!) @ (^[Y2 : a > a > $o]: 32.31/4.84 (((((((!!) @ (^[Y3 : a]: 32.31/4.84 ( 32.31/4.84 ( 32.31/4.84 (!!) @ ( 32.31/4.84 ^[Y4 : a]: 32.31/4.84 (( 32.31/4.84 (!!) @ ( 32.31/4.84 ^[Y5 : a]: 32.31/4.84 (( 32.31/4.84 (( 32.31/4.84 (Y2 @ 32.31/4.84 Y3 @ 32.31/4.84 Y4) & 32.31/4.84 (Y2 @ 32.31/4.84 Y4 @ Y5))) => 32.31/4.84 (Y2 @ 32.31/4.84 Y3 @ Y5)))))))))))) & 32.31/4.84 (((!!) @ (^[Y3 : a]: 32.31/4.84 ( 32.31/4.84 ( 32.31/4.84 (!!) @ ( 32.31/4.84 ^[Y4 : a]: 32.31/4.84 (( 32.31/4.84 ('#sk1' @ 32.31/4.84 Y3 @ 32.31/4.84 Y4) => 32.31/4.84 (Y2 @ 32.31/4.84 Y3 @ Y4))))))))))) => 32.31/4.84 (Y2 @ Y0 @ Y1)))))))) => 32.31/4.84 (((!!) @ (^[Y2 : a > a > $o]: 32.31/4.84 (((((((!!) @ (^[Y3 : a]: 32.31/4.84 (((!!) @ ( 32.31/4.84 ^[Y4 : a]: 32.31/4.84 (( 32.31/4.84 (( 32.31/4.84 ('#sk1' @ 32.31/4.84 Y3 @ 32.31/4.84 Y4) | 32.31/4.84 ('#sk2' @ 32.31/4.84 Y3 @ Y4))) => 32.31/4.84 (Y2 @ 32.31/4.84 Y3 @ Y4))))))))) & 32.31/4.84 (((!!) @ (^[Y3 : a]: 32.31/4.84 (((!!) @ ( 32.31/4.84 ^[Y4 : a]: 32.31/4.84 (( 32.31/4.84 (!!) @ ( 32.31/4.84 ^[Y5 : a]: 32.31/4.84 (( 32.31/4.84 (( 32.31/4.84 (Y2 @ 32.31/4.84 Y4 @ 32.31/4.84 Y5) & 32.31/4.84 (Y2 @ 32.31/4.84 Y3 @ Y4))) => 32.31/4.84 (Y2 @ 32.31/4.84 Y3 @ Y5)))))))))))))) => 32.31/4.84 (Y2 @ Y0 @ Y1)))))))))))))))), 32.31/4.84 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl7])). 32.31/4.84 thf(zip_derived_cl15, plain, 32.31/4.84 (( ('#form14') 32.31/4.84 | ~ (((!!) @ (^[Y0 : a]: 32.31/4.84 (((!!) @ (^[Y1 : a]: 32.31/4.84 (((!!) @ (^[Y2 : a]: 32.31/4.84 (((((((!!) @ (^[Y3 : a > a > $o]: 32.31/4.84 (((((((!!) @ ( 32.31/4.84 ^[Y4 : a]: 32.31/4.84 (( 32.31/4.84 (!!) @ ( 32.31/4.84 ^[Y5 : a]: 32.31/4.84 (( 32.31/4.84 (( 32.31/4.84 ('#sk2' @ 32.31/4.84 Y4 @ 32.31/4.84 Y5) | 32.31/4.84 ('#sk1' @ 32.31/4.84 Y4 @ Y5))) => 32.31/4.84 (Y3 @ 32.31/4.84 Y4 @ Y5))))))))) & 32.31/4.84 (((!!) @ ( 32.31/4.84 ^[Y4 : a]: 32.31/4.84 (( 32.31/4.84 (!!) @ ( 32.31/4.84 ^[Y5 : a]: 32.31/4.84 (( 32.31/4.84 (!!) @ ( 32.31/4.84 ^[Y6 : a]: 32.31/4.84 (( 32.31/4.84 (( 32.31/4.84 (Y3 @ 32.31/4.84 Y4 @ 32.31/4.84 Y5) & 32.31/4.84 (Y3 @ 32.31/4.84 Y5 @ Y6))) => 32.31/4.84 (Y3 @ 32.31/4.84 Y4 @ Y6)))))))))))))) => 32.31/4.84 (Y3 @ Y0 @ 32.31/4.84 Y1)))))) & 32.31/4.84 (((!!) @ (^[Y3 : a > a > $o]: 32.31/4.84 (((((((!!) @ ( 32.31/4.84 ^[Y4 : a]: 32.31/4.84 (( 32.31/4.84 (!!) @ ( 32.31/4.84 ^[Y5 : a]: 32.31/4.84 (( 32.31/4.84 (( 32.31/4.84 ('#sk2' @ 32.31/4.84 Y4 @ 32.31/4.84 Y5) | 32.31/4.84 ('#sk1' @ 32.31/4.84 Y4 @ Y5))) => 32.31/4.84 (Y3 @ 32.31/4.84 Y4 @ Y5))))))))) & 32.31/4.84 (((!!) @ ( 32.31/4.84 ^[Y4 : a]: 32.31/4.84 (( 32.31/4.84 (!!) @ ( 32.31/4.84 ^[Y5 : a]: 32.31/4.84 (( 32.31/4.84 (!!) @ ( 32.31/4.84 ^[Y6 : a]: 32.31/4.84 (( 32.31/4.84 (( 32.31/4.84 (Y3 @ 32.31/4.84 Y5 @ 32.31/4.84 Y6) & 32.31/4.84 (Y3 @ 32.31/4.84 Y4 @ Y5))) => 32.31/4.84 (Y3 @ 32.31/4.84 Y4 @ Y6)))))))))))))) => 32.31/4.84 (Y3 @ Y1 @ 32.31/4.84 Y2)))))))) => 32.31/4.84 (((!!) @ (^[Y3 : a > a > $o]: 32.31/4.84 (((((((!!) @ ( 32.31/4.84 ^[Y4 : a]: 32.31/4.84 ( 32.31/4.84 ( 32.31/4.84 (!!) @ ( 32.31/4.84 ^[Y5 : a]: 32.31/4.84 (( 32.31/4.84 (!!) @ ( 32.31/4.84 ^[Y6 : a]: 32.31/4.84 (( 32.31/4.84 (( 32.31/4.84 (Y3 @ 32.31/4.84 Y4 @ 32.31/4.84 Y5) & 32.31/4.84 (Y3 @ 32.31/4.84 Y5 @ Y6))) => 32.31/4.84 (Y3 @ 32.31/4.84 Y4 @ Y6)))))))))))) & 32.31/4.84 (((!!) @ ( 32.31/4.84 ^[Y4 : a]: 32.31/4.84 ( 32.31/4.84 ( 32.31/4.84 (!!) @ ( 32.31/4.84 ^[Y5 : a]: 32.31/4.84 (( 32.31/4.84 (( 32.31/4.84 ('#sk1' @ 32.31/4.84 Y4 @ 32.31/4.84 Y5) | 32.31/4.84 ('#sk2' @ 32.31/4.84 Y4 @ Y5))) => 32.31/4.84 (Y3 @ 32.31/4.84 Y4 @ Y5))))))))))) => 32.31/4.84 (Y3 @ Y0 @ Y2))))))))))))))))))), 32.31/4.84 define([status(thm)])). 32.31/4.84 thf(zip_derived_cl16, plain, 32.31/4.84 ((~ (((!!) @ (^[Y0 : a]: 32.31/4.84 (((!!) @ (^[Y1 : a]: 32.31/4.84 (((((((!!) @ (^[Y2 : a > a > $o]: 32.31/4.84 (((((((!!) @ (^[Y3 : a]: 32.31/4.84 (((!!) @ ( 32.31/4.84 ^[Y4 : a]: 32.31/4.84 ( 32.31/4.84 ( 32.31/4.84 (( 32.31/4.84 ('#sk2' @ 32.31/4.84 Y3 @ 32.31/4.84 Y4) | 32.31/4.84 ('#sk1' @ 32.31/4.84 Y3 @ Y4))) => 32.31/4.84 (Y2 @ 32.31/4.84 Y3 @ Y4))))))))) & 32.31/4.84 (((!!) @ (^[Y3 : a]: 32.31/4.84 (((!!) @ ( 32.31/4.84 ^[Y4 : a]: 32.31/4.84 ( 32.31/4.84 ( 32.31/4.84 (!!) @ ( 32.31/4.84 ^[Y5 : a]: 32.31/4.84 (( 32.31/4.84 (( 32.31/4.84 (Y2 @ 32.31/4.84 Y3 @ 32.31/4.84 Y4) & 32.31/4.84 (Y2 @ 32.31/4.84 Y4 @ Y5))) => 32.31/4.84 (Y2 @ 32.31/4.84 Y3 @ Y5)))))))))))))) => 32.31/4.84 (Y2 @ '#sk15' @ Y0)))))) & 32.31/4.84 (((!!) @ (^[Y2 : a > a > $o]: 32.31/4.84 (((((((!!) @ (^[Y3 : a]: 32.31/4.84 (((!!) @ ( 32.31/4.84 ^[Y4 : a]: 32.31/4.84 ( 32.31/4.84 ( 32.31/4.84 (( 32.31/4.84 ('#sk2' @ 32.31/4.84 Y3 @ 32.31/4.84 Y4) | 32.31/4.84 ('#sk1' @ 32.31/4.84 Y3 @ Y4))) => 32.31/4.84 (Y2 @ 32.31/4.84 Y3 @ Y4))))))))) & 32.31/4.84 (((!!) @ (^[Y3 : a]: 32.31/4.84 (((!!) @ ( 32.31/4.84 ^[Y4 : a]: 32.31/4.84 ( 32.31/4.84 ( 32.31/4.84 (!!) @ ( 32.31/4.84 ^[Y5 : a]: 32.31/4.84 (( 32.31/4.84 (( 32.31/4.84 (Y2 @ 32.31/4.84 Y4 @ 32.31/4.84 Y5) & 32.31/4.84 (Y2 @ 32.31/4.84 Y3 @ Y4))) => 32.31/4.84 (Y2 @ 32.31/4.84 Y3 @ Y5)))))))))))))) => 32.31/4.84 (Y2 @ Y0 @ Y1)))))))) => 32.31/4.84 (((!!) @ (^[Y2 : a > a > $o]: 32.31/4.84 (((((((!!) @ (^[Y3 : a]: 32.31/4.84 (((!!) @ ( 32.31/4.84 ^[Y4 : a]: 32.31/4.84 (((!!) @ ( 32.31/4.84 ^[Y5 : a]: 32.31/4.84 (( 32.31/4.84 (( 32.31/4.84 (Y2 @ 32.31/4.84 Y3 @ 32.31/4.84 Y4) & 32.31/4.84 (Y2 @ 32.31/4.84 Y4 @ Y5))) => 32.31/4.84 (Y2 @ 32.31/4.84 Y3 @ Y5)))))))))))) & 32.31/4.84 (((!!) @ (^[Y3 : a]: 32.31/4.84 (((!!) @ ( 32.31/4.84 ^[Y4 : a]: 32.31/4.84 (((( 32.31/4.84 ('#sk1' @ 32.31/4.84 Y3 @ 32.31/4.84 Y4) | 32.31/4.84 ('#sk2' @ 32.31/4.84 Y3 @ Y4))) => 32.31/4.84 (Y2 @ 32.31/4.84 Y3 @ Y4))))))))))) => 32.31/4.84 (Y2 @ '#sk15' @ Y1)))))))))))))) 32.31/4.84 | ('#form14'))), 32.31/4.84 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl15])). 32.31/4.84 thf(zip_derived_cl23, plain, 32.31/4.84 ((~ (((!!) @ (^[Y0 : a]: 32.31/4.84 (((((((!!) @ (^[Y1 : a > a > $o]: 32.31/4.84 (((((((!!) @ (^[Y2 : a]: 32.31/4.84 (((!!) @ (^[Y3 : a]: 32.31/4.84 ((((('#sk2' @ 32.31/4.84 Y2 @ 32.31/4.84 Y3) | 32.31/4.84 ('#sk1' @ 32.31/4.84 Y2 @ Y3))) => 32.31/4.84 (Y1 @ Y2 @ 32.31/4.84 Y3))))))))) & 32.31/4.84 (((!!) @ (^[Y2 : a]: 32.31/4.84 (((!!) @ (^[Y3 : a]: 32.31/4.84 (((!!) @ ( 32.31/4.84 ^[Y4 : a]: 32.31/4.84 ( 32.31/4.84 ( 32.31/4.84 (( 32.31/4.84 (Y1 @ 32.31/4.84 Y2 @ 32.31/4.84 Y3) & 32.31/4.84 (Y1 @ 32.31/4.84 Y3 @ Y4))) => 32.31/4.84 (Y1 @ 32.31/4.84 Y2 @ Y4)))))))))))))) => 32.31/4.84 (Y1 @ '#sk15' @ '#sk26')))))) & 32.31/4.84 (((!!) @ (^[Y1 : a > a > $o]: 32.31/4.84 (((((((!!) @ (^[Y2 : a]: 32.31/4.84 (((!!) @ (^[Y3 : a]: 32.31/4.84 ((((('#sk2' @ 32.31/4.84 Y2 @ 32.31/4.84 Y3) | 32.31/4.84 ('#sk1' @ 32.31/4.84 Y2 @ Y3))) => 32.31/4.84 (Y1 @ Y2 @ 32.31/4.84 Y3))))))))) & 32.31/4.84 (((!!) @ (^[Y2 : a]: 32.31/4.84 (((!!) @ (^[Y3 : a]: 32.31/4.84 (((!!) @ ( 32.31/4.84 ^[Y4 : a]: 32.31/4.84 ( 32.31/4.84 ( 32.31/4.84 (( 32.31/4.84 (Y1 @ 32.31/4.84 Y3 @ 32.31/4.84 Y4) & 32.31/4.84 (Y1 @ 32.31/4.84 Y2 @ Y3))) => 32.31/4.84 (Y1 @ 32.31/4.84 Y2 @ Y4)))))))))))))) => 32.31/4.84 (Y1 @ '#sk26' @ Y0)))))))) => 32.31/4.84 (((!!) @ (^[Y1 : a > a > $o]: 32.31/4.84 (((((((!!) @ (^[Y2 : a]: 32.31/4.84 (((!!) @ (^[Y3 : a]: 32.31/4.84 (((!!) @ ( 32.31/4.84 ^[Y4 : a]: 32.31/4.84 (((( 32.31/4.84 (Y1 @ 32.31/4.84 Y2 @ 32.31/4.84 Y3) & 32.31/4.84 (Y1 @ 32.31/4.84 Y3 @ Y4))) => 32.31/4.84 (Y1 @ 32.31/4.84 Y2 @ Y4)))))))))))) & 32.31/4.84 (((!!) @ (^[Y2 : a]: 32.31/4.84 (((!!) @ (^[Y3 : a]: 32.31/4.84 ((((('#sk1' @ 32.31/4.84 Y2 @ Y3) | 32.31/4.84 ('#sk2' @ 32.31/4.84 Y2 @ Y3))) => 32.31/4.84 (Y1 @ Y2 @ 32.31/4.84 Y3))))))))))) => 32.31/4.84 (Y1 @ '#sk15' @ Y0))))))))))) 32.31/4.84 | ('#form14'))), 32.31/4.84 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl16])). 32.31/4.84 thf(zip_derived_cl28, plain, 32.31/4.84 ((~ (((((((!!) @ (^[Y0 : a > a > $o]: 32.31/4.84 (((((((!!) @ (^[Y1 : a]: 32.31/4.84 (((!!) @ (^[Y2 : a]: 32.31/4.84 ((((('#sk2' @ Y1 @ Y2) | 32.31/4.84 ('#sk1' @ Y1 @ Y2))) => 32.31/4.84 (Y0 @ Y1 @ Y2))))))))) & 32.31/4.84 (((!!) @ (^[Y1 : a]: 32.31/4.84 (((!!) @ (^[Y2 : a]: 32.31/4.84 (((!!) @ (^[Y3 : a]: 32.31/4.84 (((((Y0 @ 32.31/4.84 Y1 @ 32.31/4.84 Y2) & 32.31/4.84 (Y0 @ 32.31/4.84 Y2 @ Y3))) => 32.31/4.84 (Y0 @ Y1 @ 32.31/4.84 Y3)))))))))))))) => 32.31/4.84 (Y0 @ '#sk15' @ '#sk26')))))) & 32.31/4.84 (((!!) @ (^[Y0 : a > a > $o]: 32.31/4.84 (((((((!!) @ (^[Y1 : a]: 32.31/4.84 (((!!) @ (^[Y2 : a]: 32.31/4.84 ((((('#sk2' @ Y1 @ Y2) | 32.31/4.84 ('#sk1' @ Y1 @ Y2))) => 32.31/4.84 (Y0 @ Y1 @ Y2))))))))) & 32.31/4.84 (((!!) @ (^[Y1 : a]: 32.31/4.84 (((!!) @ (^[Y2 : a]: 32.31/4.84 (((!!) @ (^[Y3 : a]: 32.31/4.84 (((((Y0 @ 32.31/4.84 Y2 @ 32.31/4.84 Y3) & 32.31/4.84 (Y0 @ 32.31/4.84 Y1 @ Y2))) => 32.31/4.84 (Y0 @ Y1 @ 32.31/4.84 Y3)))))))))))))) => 32.31/4.84 (Y0 @ '#sk26' @ '#sk36')))))))) => 32.31/4.84 (((!!) @ (^[Y0 : a > a > $o]: 32.31/4.84 (((((((!!) @ (^[Y1 : a]: 32.31/4.84 (((!!) @ (^[Y2 : a]: 32.31/4.84 (((!!) @ (^[Y3 : a]: 32.31/4.84 (((((Y0 @ Y1 @ 32.31/4.84 Y2) & 32.31/4.84 (Y0 @ Y2 @ 32.31/4.84 Y3))) => 32.31/4.84 (Y0 @ Y1 @ 32.31/4.84 Y3)))))))))))) & 32.31/4.84 (((!!) @ (^[Y1 : a]: 32.31/4.84 (((!!) @ (^[Y2 : a]: 32.31/4.84 ((((('#sk1' @ Y1 @ Y2) | 32.31/4.84 ('#sk2' @ Y1 @ Y2))) => 32.31/4.84 (Y0 @ Y1 @ Y2))))))))))) => 32.31/4.84 (Y0 @ '#sk15' @ '#sk36')))))))) 32.31/4.84 | ('#form14'))), 32.31/4.84 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl23])). 32.31/4.84 thf(zip_derived_cl35, plain, 32.31/4.84 ((~ (((!!) @ (^[Y0 : a > a > $o]: 32.31/4.84 (((((((!!) @ (^[Y1 : a]: 32.31/4.84 (((!!) @ (^[Y2 : a]: 32.31/4.84 (((!!) @ (^[Y3 : a]: 32.31/4.84 (((((Y0 @ Y1 @ 32.31/4.84 Y2) & (Y0 @ 32.31/4.84 Y2 @ Y3))) => 32.31/4.84 (Y0 @ Y1 @ Y3)))))))))))) & 32.31/4.84 (((!!) @ (^[Y1 : a]: 32.31/4.84 (((!!) @ (^[Y2 : a]: 32.31/4.84 ((((('#sk1' @ Y1 @ Y2) | 32.31/4.84 ('#sk2' @ Y1 @ Y2))) => 32.31/4.84 (Y0 @ Y1 @ Y2))))))))))) => 32.31/4.84 (Y0 @ '#sk15' @ '#sk36')))))) 32.31/4.84 | ('#form14'))), 32.31/4.84 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl28])). 32.31/4.84 thf(zip_derived_cl45, plain, 32.31/4.84 ((~ (((((((!!) @ (^[Y0 : a]: 32.31/4.84 (((!!) @ (^[Y1 : a]: 32.31/4.84 (((!!) @ (^[Y2 : a]: 32.31/4.84 ((((('#sk55' @ Y0 @ Y1) & 32.31/4.84 ('#sk55' @ Y1 @ Y2))) => 32.31/4.84 ('#sk55' @ Y0 @ Y2)))))))))))) & 32.31/4.84 (((!!) @ (^[Y0 : a]: 32.31/4.84 (((!!) @ (^[Y1 : a]: 32.31/4.84 ((((('#sk1' @ Y0 @ Y1) | ('#sk2' @ Y0 @ 32.31/4.84 Y1))) => 32.31/4.84 ('#sk55' @ Y0 @ Y1))))))))))) => 32.31/4.84 ('#sk55' @ '#sk15' @ '#sk36'))) 32.31/4.84 | ('#form14'))), 32.31/4.84 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl35])). 32.31/4.84 thf(zip_derived_cl71, plain, 32.31/4.84 ((~ ('#sk55' @ '#sk15' @ '#sk36') | ('#form14'))), 32.31/4.84 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl45])). 32.31/4.84 thf(zip_derived_cl34, plain, 32.31/4.84 (( (((((!!) @ (^[Y0 : a > a > $o]: 32.31/4.84 (((((((!!) @ (^[Y1 : a]: 32.31/4.84 (((!!) @ (^[Y2 : a]: 32.31/4.84 ((((('#sk2' @ Y1 @ Y2) | 32.31/4.84 ('#sk1' @ Y1 @ Y2))) => 32.31/4.84 (Y0 @ Y1 @ Y2))))))))) & 32.31/4.84 (((!!) @ (^[Y1 : a]: 32.31/4.84 (((!!) @ (^[Y2 : a]: 32.31/4.84 (((!!) @ (^[Y3 : a]: 32.31/4.84 (((((Y0 @ Y1 @ 32.31/4.84 Y2) & (Y0 @ 32.31/4.84 Y2 @ Y3))) => 32.31/4.84 (Y0 @ Y1 @ Y3)))))))))))))) => 32.31/4.84 (Y0 @ '#sk15' @ '#sk26')))))) & 32.31/4.84 (((!!) @ (^[Y0 : a > a > $o]: 32.31/4.84 (((((((!!) @ (^[Y1 : a]: 32.31/4.84 (((!!) @ (^[Y2 : a]: 32.31/4.84 ((((('#sk2' @ Y1 @ Y2) | 32.31/4.84 ('#sk1' @ Y1 @ Y2))) => 32.31/4.84 (Y0 @ Y1 @ Y2))))))))) & 32.31/4.84 (((!!) @ (^[Y1 : a]: 32.31/4.84 (((!!) @ (^[Y2 : a]: 32.31/4.84 (((!!) @ (^[Y3 : a]: 32.31/4.84 (((((Y0 @ Y2 @ 32.31/4.84 Y3) & (Y0 @ 32.31/4.84 Y1 @ Y2))) => 32.31/4.84 (Y0 @ Y1 @ Y3)))))))))))))) => 32.31/4.84 (Y0 @ '#sk26' @ '#sk36')))))))) 32.31/4.84 | ('#form14'))), 32.31/4.84 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl28])). 32.31/4.84 thf(zip_derived_cl42, plain, 32.31/4.84 (( (((!!) @ (^[Y0 : a > a > $o]: 32.31/4.84 (((((((!!) @ (^[Y1 : a]: 32.31/4.84 (((!!) @ (^[Y2 : a]: 32.31/4.84 ((((('#sk2' @ Y1 @ Y2) | 32.31/4.84 ('#sk1' @ Y1 @ Y2))) => 32.31/4.84 (Y0 @ Y1 @ Y2))))))))) & 32.31/4.84 (((!!) @ (^[Y1 : a]: 32.31/4.84 (((!!) @ (^[Y2 : a]: 32.31/4.84 (((!!) @ (^[Y3 : a]: 32.31/4.84 (((((Y0 @ Y1 @ 32.31/4.84 Y2) & (Y0 @ 32.31/4.84 Y2 @ Y3))) => 32.31/4.84 (Y0 @ Y1 @ Y3)))))))))))))) => 32.31/4.84 (Y0 @ '#sk15' @ '#sk26')))))) 32.31/4.84 | ('#form14'))), 32.31/4.84 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl34])). 32.31/4.84 thf(zip_derived_cl58, plain, 32.31/4.84 (![X2 : a > a > $o]: 32.31/4.84 ( (((((((!!) @ (^[Y0 : a]: 32.31/4.84 (((!!) @ (^[Y1 : a]: 32.31/4.84 ((((('#sk2' @ Y0 @ Y1) | ('#sk1' @ Y0 @ 32.31/4.84 Y1))) => 32.31/4.84 (X2 @ Y0 @ Y1))))))))) & 32.31/4.84 (((!!) @ (^[Y0 : a]: 32.31/4.84 (((!!) @ (^[Y1 : a]: 32.31/4.84 (((!!) @ (^[Y2 : a]: 32.31/4.84 (((((X2 @ Y0 @ Y1) & (X2 @ 32.31/4.84 Y1 @ Y2))) => 32.31/4.84 (X2 @ Y0 @ Y2)))))))))))))) => 32.31/4.84 (X2 @ '#sk15' @ '#sk26'))) 32.31/4.84 | ('#form14'))), 32.31/4.84 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl42])). 32.31/4.84 thf(zip_derived_cl85, plain, 32.31/4.84 (![X2 : a > a > $o]: 32.31/4.84 (~ (((((!!) @ (^[Y0 : a]: 32.31/4.84 (((!!) @ (^[Y1 : a]: 32.31/4.84 ((((('#sk2' @ Y0 @ Y1) | ('#sk1' @ Y0 @ 32.31/4.84 Y1))) => 32.31/4.84 (X2 @ Y0 @ Y1))))))))) & 32.31/4.84 (((!!) @ (^[Y0 : a]: 32.31/4.84 (((!!) @ (^[Y1 : a]: 32.31/4.84 (((!!) @ (^[Y2 : a]: 32.31/4.84 (((((X2 @ Y0 @ Y1) & (X2 @ 32.31/4.84 Y1 @ Y2))) => 32.31/4.84 (X2 @ Y0 @ Y2)))))))))))))) 32.31/4.84 | (X2 @ '#sk15' @ '#sk26') 32.31/4.84 | ('#form14'))), 32.31/4.84 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl58])). 32.31/4.84 thf(zip_derived_cl95, plain, 32.31/4.84 (![X2 : a > a > $o]: 32.31/4.84 (~ (((!!) @ (^[Y0 : a]: 32.31/4.84 (((!!) @ (^[Y1 : a]: 32.31/4.84 ((((('#sk2' @ Y0 @ Y1) | ('#sk1' @ Y0 @ Y1))) => 32.31/4.84 (X2 @ Y0 @ Y1))))))))) 32.31/4.84 | ~ (((!!) @ (^[Y0 : a]: 32.31/4.84 (((!!) @ (^[Y1 : a]: 32.31/4.84 (((!!) @ (^[Y2 : a]: 32.31/4.84 (((((X2 @ Y0 @ Y1) & (X2 @ 32.31/4.84 Y1 @ Y2))) => 32.31/4.84 (X2 @ Y0 @ Y2)))))))))))) 32.31/4.84 | ('#form14') 32.31/4.84 | (X2 @ '#sk15' @ '#sk26'))), 32.31/4.84 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl85])). 32.31/4.84 thf(zip_derived_cl95, plain, 32.31/4.84 (![X2 : a > a > $o]: 32.31/4.84 (~ (((!!) @ (^[Y0 : a]: 32.31/4.84 (((!!) @ (^[Y1 : a]: 32.31/4.84 ((((('#sk2' @ Y0 @ Y1) | ('#sk1' @ Y0 @ Y1))) => 32.31/4.84 (X2 @ Y0 @ Y1))))))))) 32.31/4.84 | ~ (((!!) @ (^[Y0 : a]: 32.31/4.84 (((!!) @ (^[Y1 : a]: 32.31/4.84 (((!!) @ (^[Y2 : a]: 32.31/4.84 (((((X2 @ Y0 @ Y1) & (X2 @ 32.31/4.84 Y1 @ Y2))) => 32.31/4.84 (X2 @ Y0 @ Y2)))))))))))) 32.31/4.84 | ('#form14') 32.31/4.84 | (X2 @ '#sk15' @ '#sk26'))), 32.31/4.84 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl85])). 32.31/4.84 thf(zip_derived_cl105, plain, 32.31/4.84 (![X2 : a > a > $o]: 32.31/4.84 ( ('#form221' @ X2) 32.31/4.84 | ~ (((!!) @ (^[Y0 : a]: 32.31/4.84 (((!!) @ (^[Y1 : a]: 32.31/4.84 (((!!) @ (^[Y2 : a]: 32.31/4.84 (((((X2 @ Y0 @ Y1) & (X2 @ 32.31/4.84 Y1 @ Y2))) => 32.31/4.84 (X2 @ Y0 @ Y2)))))))))))))), 32.31/4.84 define([status(thm)])). 32.31/4.84 thf(zip_derived_cl107, plain, 32.31/4.84 (![X2 : a > a > $o]: 32.31/4.84 (~ ('#form221' @ X2) 32.31/4.84 | (X2 @ '#sk15' @ '#sk26') 32.31/4.84 | ('#form14') 32.31/4.84 | ~ (((!!) @ (^[Y0 : a]: 32.31/4.84 (((!!) @ (^[Y1 : a]: 32.31/4.84 ((((('#sk2' @ Y0 @ Y1) | ('#sk1' @ Y0 @ 32.31/4.84 Y1))) => 32.31/4.84 (X2 @ Y0 @ Y1))))))))))), 32.31/4.84 inference('renaming', [status(thm)], 32.31/4.84 [zip_derived_cl95, zip_derived_cl105])). 32.31/4.84 thf(zip_derived_cl117, plain, 32.31/4.84 (![X2 : a > a > $o]: 32.31/4.84 (~ (((!!) @ (^[Y0 : a]: 32.31/4.84 ((((('#sk2' @ ('#sk231' @ X2) @ Y0) | ('#sk1' @ 32.31/4.84 ('#sk231' @ X2) @ Y0))) => 32.31/4.84 (X2 @ ('#sk231' @ X2) @ Y0)))))) 32.31/4.84 | ('#form14') 32.31/4.84 | (X2 @ '#sk15' @ '#sk26') 32.31/4.84 | ~ ('#form221' @ X2))), 32.31/4.84 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl107])). 32.31/4.84 thf(zip_derived_cl132, plain, 32.31/4.84 (![X2 : a > a > $o]: 32.31/4.84 (~ ((((('#sk2' @ ('#sk231' @ X2) @ ('#sk307' @ X2)) | ('#sk1' @ 32.31/4.84 ('#sk231' @ X2) @ ('#sk307' @ X2)))) => 32.31/4.84 (X2 @ ('#sk231' @ X2) @ ('#sk307' @ X2)))) 32.31/4.84 | ~ ('#form221' @ X2) 32.31/4.84 | (X2 @ '#sk15' @ '#sk26') 32.31/4.84 | ('#form14'))), 32.31/4.84 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl117])). 32.31/4.84 thf(zip_derived_cl147, plain, 32.31/4.84 (![X2 : a > a > $o]: 32.31/4.84 (~ (X2 @ ('#sk231' @ X2) @ ('#sk307' @ X2)) 32.31/4.84 | ('#form14') 32.31/4.84 | (X2 @ '#sk15' @ '#sk26') 32.31/4.84 | ~ ('#form221' @ X2))), 32.31/4.84 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl132])). 32.31/4.84 thf(zip_derived_cl146, plain, 32.31/4.84 (![X2 : a > a > $o]: 32.31/4.84 ( ((('#sk2' @ ('#sk231' @ X2) @ ('#sk307' @ X2)) | ('#sk1' @ 32.31/4.84 ('#sk231' @ X2) @ ('#sk307' @ X2)))) 32.31/4.84 | ('#form14') 32.31/4.84 | (X2 @ '#sk15' @ '#sk26') 32.31/4.84 | ~ ('#form221' @ X2))), 32.31/4.84 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl132])). 32.31/4.84 thf(zip_derived_cl159, plain, 32.31/4.84 (![X2 : a > a > $o]: 32.31/4.84 ( ('#sk2' @ ('#sk231' @ X2) @ ('#sk307' @ X2)) 32.31/4.84 | ('#sk1' @ ('#sk231' @ X2) @ ('#sk307' @ X2)) 32.31/4.84 | ~ ('#form221' @ X2) 32.31/4.84 | (X2 @ '#sk15' @ '#sk26') 32.31/4.84 | ('#form14'))), 32.31/4.84 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl146])). 32.31/4.84 thf(zip_derived_cl70, plain, 32.31/4.84 (( (((((!!) @ (^[Y0 : a]: 32.31/4.84 (((!!) @ (^[Y1 : a]: 32.31/4.84 (((!!) @ (^[Y2 : a]: 32.31/4.84 ((((('#sk55' @ Y0 @ Y1) & 32.31/4.84 ('#sk55' @ Y1 @ Y2))) => 32.31/4.84 ('#sk55' @ Y0 @ Y2)))))))))))) & 32.31/4.84 (((!!) @ (^[Y0 : a]: 32.31/4.84 (((!!) @ (^[Y1 : a]: 32.31/4.84 ((((('#sk1' @ Y0 @ Y1) | ('#sk2' @ Y0 @ Y1))) => 32.31/4.84 ('#sk55' @ Y0 @ Y1))))))))))) 32.31/4.84 | ('#form14'))), 32.31/4.84 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl45])). 32.31/4.84 thf(zip_derived_cl88, plain, 32.31/4.84 (( (((!!) @ (^[Y0 : a]: 32.31/4.84 (((!!) @ (^[Y1 : a]: 32.31/4.84 ((((('#sk1' @ Y0 @ Y1) | ('#sk2' @ Y0 @ Y1))) => 32.31/4.84 ('#sk55' @ Y0 @ Y1))))))))) 32.31/4.84 | ('#form14'))), 32.31/4.84 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl70])). 32.31/4.84 thf(zip_derived_cl98, plain, 32.31/4.84 (![X2 : a]: 32.31/4.84 ( (((!!) @ (^[Y0 : a]: 32.31/4.84 ((((('#sk1' @ X2 @ Y0) | ('#sk2' @ X2 @ Y0))) => 32.31/4.84 ('#sk55' @ X2 @ Y0)))))) 32.31/4.84 | ('#form14'))), 32.31/4.84 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl88])). 32.31/4.84 thf(zip_derived_cl110, plain, 32.31/4.84 (![X2 : a, X4 : a]: 32.31/4.84 ( ((((('#sk1' @ X2 @ X4) | ('#sk2' @ X2 @ X4))) => ('#sk55' @ X2 @ X4))) 32.31/4.84 | ('#form14'))), 32.31/4.84 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl98])). 32.31/4.84 thf(zip_derived_cl121, plain, 32.31/4.84 (![X2 : a, X4 : a]: 32.31/4.84 (~ ((('#sk1' @ X2 @ X4) | ('#sk2' @ X2 @ X4))) 32.31/4.84 | ('#sk55' @ X2 @ X4) 32.31/4.84 | ('#form14'))), 32.31/4.84 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl110])). 32.31/4.84 thf(zip_derived_cl137, plain, 32.31/4.84 (![X2 : a, X4 : a]: 32.31/4.84 (~ ('#sk1' @ X2 @ X4) | ('#form14') | ('#sk55' @ X2 @ X4))), 32.31/4.84 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl121])). 32.31/4.84 thf(zip_derived_cl43, plain, 32.31/4.84 (( (((!!) @ (^[Y0 : a > a > $o]: 32.31/4.84 (((((((!!) @ (^[Y1 : a]: 32.31/4.84 (((!!) @ (^[Y2 : a]: 32.31/4.84 ((((('#sk2' @ Y1 @ Y2) | 32.31/4.84 ('#sk1' @ Y1 @ Y2))) => 32.31/4.84 (Y0 @ Y1 @ Y2))))))))) & 32.31/4.84 (((!!) @ (^[Y1 : a]: 32.31/4.84 (((!!) @ (^[Y2 : a]: 32.31/4.84 (((!!) @ (^[Y3 : a]: 32.31/4.84 (((((Y0 @ Y2 @ 32.31/4.84 Y3) & (Y0 @ 32.31/4.84 Y1 @ Y2))) => 32.31/4.84 (Y0 @ Y1 @ Y3)))))))))))))) => 32.31/4.84 (Y0 @ '#sk26' @ '#sk36')))))) 32.31/4.84 | ('#form14'))), 32.31/4.84 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl34])). 32.31/4.84 thf(zip_derived_cl64, plain, 32.31/4.84 (![X2 : a > a > $o]: 32.31/4.84 ( (((((((!!) @ (^[Y0 : a]: 32.31/4.84 (((!!) @ (^[Y1 : a]: 32.31/4.84 ((((('#sk2' @ Y0 @ Y1) | ('#sk1' @ Y0 @ 32.31/4.84 Y1))) => 32.31/4.84 (X2 @ Y0 @ Y1))))))))) & 32.31/4.84 (((!!) @ (^[Y0 : a]: 32.31/4.84 (((!!) @ (^[Y1 : a]: 32.31/4.84 (((!!) @ (^[Y2 : a]: 32.31/4.84 (((((X2 @ Y1 @ Y2) & (X2 @ 32.31/4.84 Y0 @ Y1))) => 32.31/4.84 (X2 @ Y0 @ Y2)))))))))))))) => 32.31/4.84 (X2 @ '#sk26' @ '#sk36'))) 32.31/4.84 | ('#form14'))), 32.31/4.84 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl43])). 32.31/4.84 thf(zip_derived_cl86, plain, 32.31/4.84 (![X2 : a > a > $o]: 32.31/4.84 (~ (((((!!) @ (^[Y0 : a]: 32.31/4.84 (((!!) @ (^[Y1 : a]: 32.31/4.84 ((((('#sk2' @ Y0 @ Y1) | ('#sk1' @ Y0 @ 32.31/4.84 Y1))) => 32.31/4.84 (X2 @ Y0 @ Y1))))))))) & 32.31/4.84 (((!!) @ (^[Y0 : a]: 32.31/4.84 (((!!) @ (^[Y1 : a]: 32.31/4.84 (((!!) @ (^[Y2 : a]: 32.31/4.84 (((((X2 @ Y1 @ Y2) & (X2 @ 32.31/4.84 Y0 @ Y1))) => 32.31/4.84 (X2 @ Y0 @ Y2)))))))))))))) 32.31/4.84 | (X2 @ '#sk26' @ '#sk36') 32.31/4.84 | ('#form14'))), 32.31/4.84 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl64])). 32.31/4.84 thf(zip_derived_cl96, plain, 32.31/4.84 (![X2 : a > a > $o]: 32.31/4.84 (~ (((!!) @ (^[Y0 : a]: 32.31/4.84 (((!!) @ (^[Y1 : a]: 32.31/4.84 ((((('#sk2' @ Y0 @ Y1) | ('#sk1' @ Y0 @ Y1))) => 32.31/4.84 (X2 @ Y0 @ Y1))))))))) 32.31/4.84 | ~ (((!!) @ (^[Y0 : a]: 32.31/4.84 (((!!) @ (^[Y1 : a]: 32.31/4.84 (((!!) @ (^[Y2 : a]: 32.31/4.84 (((((X2 @ Y1 @ Y2) & (X2 @ 32.31/4.84 Y0 @ Y1))) => 32.31/4.84 (X2 @ Y0 @ Y2)))))))))))) 32.31/4.84 | ('#form14') 32.31/4.84 | (X2 @ '#sk26' @ '#sk36'))), 32.31/4.84 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl86])). 32.31/4.84 thf(zip_derived_cl108, plain, 32.31/4.84 (![X2 : a > a > $o]: 32.31/4.84 (~ (((!!) @ (^[Y0 : a]: 32.31/4.84 ((((('#sk2' @ ('#sk231' @ X2) @ Y0) | ('#sk1' @ 32.31/4.84 ('#sk231' @ X2) @ Y0))) => 32.31/4.84 (X2 @ ('#sk231' @ X2) @ Y0)))))) 32.31/4.84 | (X2 @ '#sk26' @ '#sk36') 32.31/4.84 | ('#form14') 32.31/4.84 | ~ (((!!) @ (^[Y0 : a]: 32.31/4.84 (((!!) @ (^[Y1 : a]: 32.31/4.84 (((!!) @ (^[Y2 : a]: 32.31/4.84 (((((X2 @ Y1 @ Y2) & (X2 @ 32.31/4.84 Y0 @ Y1))) => 32.31/4.84 (X2 @ Y0 @ Y2)))))))))))))), 32.31/4.84 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl96])). 32.31/4.84 thf(zip_derived_cl119, plain, 32.31/4.84 (![X2 : a > a > $o]: 32.31/4.84 (~ ((((('#sk2' @ ('#sk231' @ X2) @ ('#sk307' @ X2)) | ('#sk1' @ 32.31/4.84 ('#sk231' @ X2) @ ('#sk307' @ X2)))) => 32.31/4.84 (X2 @ ('#sk231' @ X2) @ ('#sk307' @ X2)))) 32.31/4.84 | ~ (((!!) @ (^[Y0 : a]: 32.31/4.84 (((!!) @ (^[Y1 : a]: 32.31/4.84 (((!!) @ (^[Y2 : a]: 32.31/4.84 (((((X2 @ Y1 @ Y2) & (X2 @ 32.31/4.84 Y0 @ Y1))) => 32.31/4.84 (X2 @ Y0 @ Y2)))))))))))) 32.31/4.84 | ('#form14') 32.31/4.84 | (X2 @ '#sk26' @ '#sk36'))), 32.31/4.84 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl108])). 32.31/4.84 thf(zip_derived_cl135, plain, 32.31/4.84 (![X2 : a > a > $o]: 32.31/4.84 (~ (X2 @ ('#sk231' @ X2) @ ('#sk307' @ X2)) 32.31/4.84 | (X2 @ '#sk26' @ '#sk36') 32.31/4.84 | ('#form14') 32.31/4.84 | ~ (((!!) @ (^[Y0 : a]: 32.31/4.84 (((!!) @ (^[Y1 : a]: 32.31/4.84 (((!!) @ (^[Y2 : a]: 32.31/4.84 (((((X2 @ Y1 @ Y2) & (X2 @ 32.31/4.84 Y0 @ Y1))) => 32.31/4.84 (X2 @ Y0 @ Y2)))))))))))))), 32.31/4.84 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl119])). 32.31/4.84 thf(zip_derived_cl151, plain, 32.31/4.84 (![X2 : a > a > $o]: 32.31/4.84 (~ (((!!) @ (^[Y0 : a]: 32.31/4.84 (((!!) @ (^[Y1 : a]: 32.31/4.84 (((((X2 @ Y0 @ Y1) & (X2 @ 32.31/4.84 ('#sk137' @ X2) @ Y0))) => 32.31/4.84 (X2 @ ('#sk137' @ X2) @ Y1))))))))) 32.31/4.84 | ('#form14') 32.31/4.84 | (X2 @ '#sk26' @ '#sk36') 32.31/4.84 | ~ (X2 @ ('#sk231' @ X2) @ ('#sk307' @ X2)))), 32.31/4.84 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl135])). 32.31/4.84 thf(zip_derived_cl163, plain, 32.31/4.84 (![X2 : a > a > $o]: 32.31/4.84 (~ (((!!) @ (^[Y0 : a]: 32.31/4.84 (((((X2 @ ('#sk196' @ X2) @ Y0) & (X2 @ 32.31/4.84 ('#sk137' @ X2) @ ('#sk196' @ X2)))) => 32.31/4.84 (X2 @ ('#sk137' @ X2) @ Y0)))))) 32.31/4.84 | ~ (X2 @ ('#sk231' @ X2) @ ('#sk307' @ X2)) 32.31/4.84 | (X2 @ '#sk26' @ '#sk36') 32.31/4.84 | ('#form14'))), 32.31/4.84 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl151])). 32.31/4.84 thf(zip_derived_cl165, plain, 32.31/4.84 (![X2 : a > a > $o]: 32.31/4.84 (~ (((((X2 @ ('#sk196' @ X2) @ ('#sk262' @ X2)) & (X2 @ 32.31/4.84 ('#sk137' @ X2) @ ('#sk196' @ X2)))) => 32.31/4.84 (X2 @ ('#sk137' @ X2) @ ('#sk262' @ X2)))) 32.31/4.84 | ('#form14') 32.31/4.84 | (X2 @ '#sk26' @ '#sk36') 32.31/4.84 | ~ (X2 @ ('#sk231' @ X2) @ ('#sk307' @ X2)))), 32.31/4.84 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl163])). 32.31/4.84 thf(zip_derived_cl168, plain, 32.31/4.84 (![X2 : a > a > $o]: 32.31/4.84 (~ (X2 @ ('#sk137' @ X2) @ ('#sk262' @ X2)) 32.31/4.84 | ~ (X2 @ ('#sk231' @ X2) @ ('#sk307' @ X2)) 32.31/4.84 | (X2 @ '#sk26' @ '#sk36') 32.31/4.84 | ('#form14'))), 32.31/4.84 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl165])). 32.31/4.84 thf(zip_derived_cl167, plain, 32.31/4.84 (![X2 : a > a > $o]: 32.31/4.84 ( (((X2 @ ('#sk196' @ X2) @ ('#sk262' @ X2)) & (X2 @ 32.31/4.84 ('#sk137' @ X2) @ ('#sk196' @ X2)))) 32.31/4.84 | ~ (X2 @ ('#sk231' @ X2) @ ('#sk307' @ X2)) 32.31/4.84 | (X2 @ '#sk26' @ '#sk36') 32.31/4.84 | ('#form14'))), 32.31/4.84 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl165])). 32.31/4.84 thf(zip_derived_cl172, plain, 32.31/4.84 (![X2 : a > a > $o]: 32.31/4.84 ( (X2 @ ('#sk137' @ X2) @ ('#sk196' @ X2)) 32.31/4.84 | ('#form14') 32.31/4.84 | (X2 @ '#sk26' @ '#sk36') 32.31/4.84 | ~ (X2 @ ('#sk231' @ X2) @ ('#sk307' @ X2)))), 32.31/4.84 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl167])). 32.31/4.84 thf(zip_derived_cl171, plain, 32.31/4.84 (![X2 : a > a > $o]: 32.31/4.84 ( (X2 @ ('#sk196' @ X2) @ ('#sk262' @ X2)) 32.31/4.84 | ('#form14') 32.31/4.84 | (X2 @ '#sk26' @ '#sk36') 32.31/4.84 | ~ (X2 @ ('#sk231' @ X2) @ ('#sk307' @ X2)))), 32.31/4.84 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl167])). 32.31/4.84 thf(zip_derived_cl138, plain, 32.31/4.84 (![X2 : a, X4 : a]: 32.31/4.84 (~ ('#sk2' @ X2 @ X4) | ('#form14') | ('#sk55' @ X2 @ X4))), 32.31/4.84 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl121])). 32.31/4.84 thf(zip_derived_cl134, plain, 32.31/4.84 (![X2 : a > a > $o]: 32.31/4.84 ( ((('#sk2' @ ('#sk231' @ X2) @ ('#sk307' @ X2)) | ('#sk1' @ 32.31/4.84 ('#sk231' @ X2) @ ('#sk307' @ X2)))) 32.31/4.84 | (X2 @ '#sk26' @ '#sk36') 32.31/4.84 | ('#form14') 32.31/4.84 | ~ (((!!) @ (^[Y0 : a]: 32.31/4.84 (((!!) @ (^[Y1 : a]: 32.31/4.84 (((!!) @ (^[Y2 : a]: 32.31/4.84 (((((X2 @ Y1 @ Y2) & (X2 @ 32.31/4.84 Y0 @ Y1))) => 32.31/4.84 (X2 @ Y0 @ Y2)))))))))))))), 32.31/4.84 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl119])). 32.31/4.84 thf(zip_derived_cl150, plain, 32.31/4.84 (![X2 : a > a > $o]: 32.31/4.84 ( ('#sk2' @ ('#sk231' @ X2) @ ('#sk307' @ X2)) 32.31/4.84 | ('#sk1' @ ('#sk231' @ X2) @ ('#sk307' @ X2)) 32.31/4.84 | ~ (((!!) @ (^[Y0 : a]: 32.31/4.84 (((!!) @ (^[Y1 : a]: 32.31/4.84 (((!!) @ (^[Y2 : a]: 32.31/4.84 (((((X2 @ Y1 @ Y2) & (X2 @ 32.31/4.84 Y0 @ Y1))) => 32.31/4.84 (X2 @ Y0 @ Y2)))))))))))) 32.31/4.84 | ('#form14') 32.31/4.84 | (X2 @ '#sk26' @ '#sk36'))), 32.31/4.84 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl134])). 32.31/4.84 thf(zip_derived_cl162, plain, 32.31/4.84 (![X2 : a > a > $o]: 32.31/4.84 (~ (((!!) @ (^[Y0 : a]: 32.31/4.84 (((!!) @ (^[Y1 : a]: 32.31/4.84 (((((X2 @ Y0 @ Y1) & (X2 @ 32.31/4.84 ('#sk137' @ X2) @ Y0))) => 32.31/4.84 (X2 @ ('#sk137' @ X2) @ Y1))))))))) 32.31/4.84 | (X2 @ '#sk26' @ '#sk36') 32.31/4.84 | ('#form14') 32.31/4.84 | ('#sk1' @ ('#sk231' @ X2) @ ('#sk307' @ X2)) 32.31/4.84 | ('#sk2' @ ('#sk231' @ X2) @ ('#sk307' @ X2)))), 32.31/4.84 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl150])). 32.31/4.84 thf(zip_derived_cl164, plain, 32.31/4.84 (![X2 : a > a > $o]: 32.31/4.84 (~ (((!!) @ (^[Y0 : a]: 32.31/4.84 (((((X2 @ ('#sk196' @ X2) @ Y0) & (X2 @ 32.31/4.84 ('#sk137' @ X2) @ ('#sk196' @ X2)))) => 32.31/4.84 (X2 @ ('#sk137' @ X2) @ Y0)))))) 32.31/4.84 | ('#sk2' @ ('#sk231' @ X2) @ ('#sk307' @ X2)) 32.31/4.84 | ('#sk1' @ ('#sk231' @ X2) @ ('#sk307' @ X2)) 32.31/4.84 | ('#form14') 32.31/4.84 | (X2 @ '#sk26' @ '#sk36'))), 32.31/4.84 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl162])). 32.31/4.84 thf(zip_derived_cl166, plain, 32.31/4.84 (![X2 : a > a > $o]: 32.31/4.84 (~ (((((X2 @ ('#sk196' @ X2) @ ('#sk262' @ X2)) & (X2 @ 32.31/4.84 ('#sk137' @ X2) @ ('#sk196' @ X2)))) => 32.31/4.84 (X2 @ ('#sk137' @ X2) @ ('#sk262' @ X2)))) 32.31/4.84 | (X2 @ '#sk26' @ '#sk36') 32.31/4.84 | ('#form14') 32.31/4.84 | ('#sk1' @ ('#sk231' @ X2) @ ('#sk307' @ X2)) 32.31/4.84 | ('#sk2' @ ('#sk231' @ X2) @ ('#sk307' @ X2)))), 32.31/4.84 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl164])). 32.31/4.84 thf(zip_derived_cl170, plain, 32.31/4.84 (![X2 : a > a > $o]: 32.31/4.84 (~ (X2 @ ('#sk137' @ X2) @ ('#sk262' @ X2)) 32.31/4.84 | ('#sk2' @ ('#sk231' @ X2) @ ('#sk307' @ X2)) 32.31/4.84 | ('#sk1' @ ('#sk231' @ X2) @ ('#sk307' @ X2)) 32.31/4.84 | ('#form14') 32.31/4.84 | (X2 @ '#sk26' @ '#sk36'))), 32.31/4.84 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl166])). 32.31/4.84 thf(zip_derived_cl169, plain, 32.31/4.84 (![X2 : a > a > $o]: 32.31/4.84 ( (((X2 @ ('#sk196' @ X2) @ ('#sk262' @ X2)) & (X2 @ 32.31/4.84 ('#sk137' @ X2) @ ('#sk196' @ X2)))) 32.31/4.84 | ('#sk2' @ ('#sk231' @ X2) @ ('#sk307' @ X2)) 32.31/4.84 | ('#sk1' @ ('#sk231' @ X2) @ ('#sk307' @ X2)) 32.31/4.84 | ('#form14') 32.31/4.84 | (X2 @ '#sk26' @ '#sk36'))), 32.31/4.84 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl166])). 32.31/4.84 thf(zip_derived_cl174, plain, 32.31/4.84 (![X2 : a > a > $o]: 32.31/4.84 ( (X2 @ ('#sk137' @ X2) @ ('#sk196' @ X2)) 32.31/4.84 | (X2 @ '#sk26' @ '#sk36') 32.31/4.84 | ('#form14') 32.31/4.84 | ('#sk1' @ ('#sk231' @ X2) @ ('#sk307' @ X2)) 32.31/4.84 | ('#sk2' @ ('#sk231' @ X2) @ ('#sk307' @ X2)))), 32.31/4.84 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl169])). 32.31/4.84 thf(zip_derived_cl173, plain, 32.31/4.84 (![X2 : a > a > $o]: 32.31/4.84 ( (X2 @ ('#sk196' @ X2) @ ('#sk262' @ X2)) 32.31/4.84 | (X2 @ '#sk26' @ '#sk36') 32.31/4.84 | ('#form14') 32.31/4.84 | ('#sk1' @ ('#sk231' @ X2) @ ('#sk307' @ X2)) 32.31/4.84 | ('#sk2' @ ('#sk231' @ X2) @ ('#sk307' @ X2)))), 32.31/4.84 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl169])). 32.31/4.84 thf(zip_derived_cl87, plain, 32.31/4.84 (( (((!!) @ (^[Y0 : a]: 32.31/4.84 (((!!) @ (^[Y1 : a]: 32.31/4.84 (((!!) @ (^[Y2 : a]: 32.31/4.84 ((((('#sk55' @ Y0 @ Y1) & 32.31/4.84 ('#sk55' @ Y1 @ Y2))) => 32.31/4.84 ('#sk55' @ Y0 @ Y2)))))))))))) 32.31/4.84 | ('#form14'))), 32.31/4.84 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl70])). 32.31/4.84 thf(zip_derived_cl97, plain, 32.31/4.84 (![X2 : a]: 32.31/4.84 ( (((!!) @ (^[Y0 : a]: 32.31/4.84 (((!!) @ (^[Y1 : a]: 32.31/4.84 ((((('#sk55' @ X2 @ Y0) & ('#sk55' @ Y0 @ 32.31/4.84 Y1))) => 32.31/4.84 ('#sk55' @ X2 @ Y1))))))))) 32.31/4.84 | ('#form14'))), 32.31/4.84 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl87])). 32.31/4.84 thf(zip_derived_cl109, plain, 32.31/4.84 (![X2 : a, X4 : a]: 32.31/4.84 ( (((!!) @ (^[Y0 : a]: 32.31/4.84 ((((('#sk55' @ X2 @ X4) & ('#sk55' @ X4 @ Y0))) => 32.31/4.84 ('#sk55' @ X2 @ Y0)))))) 32.31/4.84 | ('#form14'))), 32.31/4.84 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl97])). 32.31/4.84 thf(zip_derived_cl120, plain, 32.31/4.84 (![X2 : a, X4 : a, X6 : a]: 32.31/4.84 ( ((((('#sk55' @ X2 @ X4) & ('#sk55' @ X4 @ X6))) => ('#sk55' @ X2 @ 32.31/4.84 X6))) 32.31/4.84 | ('#form14'))), 32.31/4.84 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl109])). 32.31/4.84 thf(zip_derived_cl136, plain, 32.31/4.84 (![X2 : a, X4 : a, X6 : a]: 32.31/4.84 (~ ((('#sk55' @ X2 @ X4) & ('#sk55' @ X4 @ X6))) 32.31/4.84 | ('#sk55' @ X2 @ X6) 32.31/4.84 | ('#form14'))), 32.31/4.84 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl120])). 32.31/4.84 thf(zip_derived_cl152, plain, 32.31/4.84 (![X2 : a, X4 : a, X6 : a]: 32.31/4.84 (~ ('#sk55' @ X2 @ X4) 32.31/4.84 | ~ ('#sk55' @ X4 @ X6) 32.31/4.84 | ('#form14') 32.31/4.84 | ('#sk55' @ X2 @ X6))), 32.31/4.84 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl136])). 32.31/4.84 thf(zip_derived_cl9, plain, 32.31/4.84 (![X2 : a > a > $o]: 32.31/4.84 ( (((((((!!) @ (^[Y0 : a]: 32.31/4.84 (((!!) @ (^[Y1 : a]: 32.31/4.84 ((((('#sk1' @ Y0 @ Y1) | ('#sk2' @ Y0 @ 32.31/4.84 Y1))) => 32.31/4.84 (X2 @ Y0 @ Y1))))))))) & 32.31/4.84 (((!!) @ (^[Y0 : a]: 32.31/4.84 (((!!) @ (^[Y1 : a]: 32.31/4.84 (((!!) @ (^[Y2 : a]: 32.31/4.84 (((((X2 @ Y1 @ Y2) & (X2 @ 32.31/4.84 Y0 @ Y1))) => 32.31/4.84 (X2 @ Y0 @ Y2)))))))))))))) => 32.31/4.84 (X2 @ '#sk3' @ '#sk4'))) 32.31/4.84 | ~ (((!!) @ (^[Y0 : a]: 32.31/4.84 (((!!) @ (^[Y1 : a]: 32.31/4.84 (((!!) @ (^[Y2 : a]: 32.31/4.84 (((((((!!) @ (^[Y3 : 32.31/4.84 a > a > $o]: 32.31/4.84 (((((( 32.31/4.84 (!!) @ ( 32.31/4.84 ^[Y4 : a]: 32.31/4.84 (( 32.31/4.84 (!!) @ ( 32.31/4.84 ^[Y5 : a]: 32.31/4.84 (( 32.31/4.84 (( 32.31/4.84 ('#sk2' @ 32.31/4.84 Y4 @ 32.31/4.84 Y5) | 32.31/4.84 ('#sk1' @ 32.31/4.84 Y4 @ Y5))) => 32.31/4.84 (Y3 @ 32.31/4.84 Y4 @ Y5))))))))) & 32.31/4.84 (( 32.31/4.84 (!!) @ ( 32.31/4.84 ^[Y4 : a]: 32.31/4.84 (( 32.31/4.84 (!!) @ ( 32.31/4.84 ^[Y5 : a]: 32.31/4.84 (( 32.31/4.84 (!!) @ ( 32.31/4.84 ^[Y6 : a]: 32.31/4.84 (( 32.31/4.84 (( 32.31/4.84 (Y3 @ 32.31/4.84 Y4 @ 32.31/4.84 Y5) & 32.31/4.84 (Y3 @ 32.31/4.84 Y5 @ Y6))) => 32.31/4.84 (Y3 @ 32.31/4.84 Y4 @ Y6)))))))))))))) => 32.31/4.84 (Y3 @ Y0 @ 32.31/4.84 Y1)))))) & 32.31/4.84 (((!!) @ (^[Y3 : 32.31/4.84 a > a > $o]: 32.31/4.84 (((((( 32.31/4.84 (!!) @ ( 32.31/4.84 ^[Y4 : a]: 32.31/4.84 (( 32.31/4.84 (!!) @ ( 32.31/4.84 ^[Y5 : a]: 32.31/4.84 (( 32.31/4.84 (( 32.31/4.84 ('#sk2' @ 32.31/4.84 Y4 @ 32.31/4.84 Y5) | 32.31/4.84 ('#sk1' @ 32.31/4.84 Y4 @ Y5))) => 32.31/4.84 (Y3 @ 32.31/4.84 Y4 @ Y5))))))))) & 32.31/4.84 (( 32.31/4.84 (!!) @ ( 32.31/4.84 ^[Y4 : a]: 32.31/4.84 (( 32.31/4.84 (!!) @ ( 32.31/4.84 ^[Y5 : a]: 32.31/4.84 (( 32.31/4.84 (!!) @ ( 32.31/4.84 ^[Y6 : a]: 32.31/4.84 (( 32.31/4.84 (( 32.31/4.84 (Y3 @ 32.31/4.84 Y5 @ 32.31/4.84 Y6) & 32.31/4.84 (Y3 @ 32.31/4.84 Y4 @ Y5))) => 32.31/4.84 (Y3 @ 32.31/4.84 Y4 @ Y6)))))))))))))) => 32.31/4.84 (Y3 @ Y1 @ 32.31/4.84 Y2)))))))) => 32.31/4.84 (((!!) @ (^[Y3 : a > a > $o]: 32.31/4.84 (((((((!!) @ ( 32.31/4.84 ^[Y4 : a]: 32.31/4.84 (( 32.31/4.84 (!!) @ ( 32.31/4.84 ^[Y5 : a]: 32.31/4.84 (( 32.31/4.84 (!!) @ ( 32.31/4.84 ^[Y6 : a]: 32.31/4.84 (( 32.31/4.84 (( 32.31/4.84 (Y3 @ 32.31/4.84 Y4 @ 32.31/4.84 Y5) & 32.31/4.84 (Y3 @ 32.31/4.84 Y5 @ Y6))) => 32.31/4.84 (Y3 @ 32.31/4.84 Y4 @ Y6)))))))))))) & 32.31/4.84 (((!!) @ ( 32.31/4.84 ^[Y4 : a]: 32.31/4.84 (( 32.31/4.84 (!!) @ ( 32.31/4.84 ^[Y5 : a]: 32.31/4.84 (( 32.31/4.84 (( 32.31/4.84 ('#sk1' @ 32.31/4.84 Y4 @ 32.31/4.84 Y5) | 32.31/4.84 ('#sk2' @ 32.31/4.84 Y4 @ Y5))) => 32.31/4.84 (Y3 @ 32.31/4.84 Y4 @ Y5))))))))))) => 32.31/4.84 (Y3 @ Y0 @ 32.31/4.84 Y2))))))))))))))))) 32.31/4.84 | ~ (((!!) @ (^[Y0 : a]: 32.31/4.84 (((!!) @ (^[Y1 : a]: 32.31/4.84 (((((((!!) @ (^[Y2 : a > a > $o]: 32.31/4.84 (((((((!!) @ (^[Y3 : a]: 32.31/4.84 ( 32.31/4.84 ( 32.31/4.84 (!!) @ ( 32.31/4.84 ^[Y4 : a]: 32.31/4.84 (( 32.31/4.84 (!!) @ ( 32.31/4.84 ^[Y5 : a]: 32.31/4.84 (( 32.31/4.84 (( 32.31/4.84 (Y2 @ 32.31/4.84 Y3 @ 32.31/4.84 Y4) & 32.31/4.84 (Y2 @ 32.31/4.84 Y4 @ Y5))) => 32.31/4.84 (Y2 @ 32.31/4.84 Y3 @ Y5)))))))))))) & 32.31/4.84 (((!!) @ (^[Y3 : a]: 32.31/4.84 ( 32.31/4.84 ( 32.31/4.84 (!!) @ ( 32.31/4.84 ^[Y4 : a]: 32.31/4.84 (( 32.31/4.84 ('#sk2' @ 32.31/4.84 Y3 @ 32.31/4.84 Y4) => 32.31/4.84 (Y2 @ 32.31/4.84 Y3 @ Y4))))))))))) => 32.31/4.84 (Y2 @ Y0 @ Y1)))))) | 32.31/4.84 (((!!) @ (^[Y2 : a > a > $o]: 32.31/4.84 (((((((!!) @ (^[Y3 : a]: 32.31/4.84 ( 32.31/4.84 ( 32.31/4.84 (!!) @ ( 32.31/4.84 ^[Y4 : a]: 32.31/4.84 (( 32.31/4.84 (!!) @ ( 32.31/4.84 ^[Y5 : a]: 32.31/4.84 (( 32.31/4.84 (( 32.31/4.84 (Y2 @ 32.31/4.84 Y3 @ 32.31/4.84 Y4) & 32.31/4.84 (Y2 @ 32.31/4.84 Y4 @ Y5))) => 32.31/4.84 (Y2 @ 32.31/4.84 Y3 @ Y5)))))))))))) & 32.31/4.84 (((!!) @ (^[Y3 : a]: 32.31/4.84 ( 32.31/4.84 ( 32.31/4.84 (!!) @ ( 32.31/4.84 ^[Y4 : a]: 32.31/4.84 (( 32.31/4.84 ('#sk1' @ 32.31/4.84 Y3 @ 32.31/4.84 Y4) => 32.31/4.84 (Y2 @ 32.31/4.84 Y3 @ Y4))))))))))) => 32.31/4.84 (Y2 @ Y0 @ Y1)))))))) => 32.31/4.84 (((!!) @ (^[Y2 : a > a > $o]: 32.31/4.84 (((((((!!) @ (^[Y3 : a]: 32.31/4.84 (((!!) @ ( 32.31/4.84 ^[Y4 : a]: 32.31/4.84 (( 32.31/4.84 (( 32.31/4.84 ('#sk1' @ 32.31/4.84 Y3 @ 32.31/4.84 Y4) | 32.31/4.84 ('#sk2' @ 32.31/4.84 Y3 @ Y4))) => 32.31/4.84 (Y2 @ 32.31/4.84 Y3 @ Y4))))))))) & 32.31/4.84 (((!!) @ (^[Y3 : a]: 32.31/4.84 (((!!) @ ( 32.31/4.84 ^[Y4 : a]: 32.31/4.84 (( 32.31/4.84 (!!) @ ( 32.31/4.84 ^[Y5 : a]: 32.31/4.84 (( 32.31/4.84 (( 32.31/4.84 (Y2 @ 32.31/4.84 Y4 @ 32.31/4.84 Y5) & 32.31/4.84 (Y2 @ 32.31/4.84 Y3 @ Y4))) => 32.31/4.84 (Y2 @ 32.31/4.84 Y3 @ Y5)))))))))))))) => 32.31/4.84 (Y2 @ Y0 @ Y1)))))))))))))))), 32.31/4.84 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl7])). 32.31/4.84 thf(zip_derived_cl15, plain, 32.31/4.84 (( ('#form14') 32.31/4.84 | ~ (((!!) @ (^[Y0 : a]: 32.31/4.84 (((!!) @ (^[Y1 : a]: 32.31/4.84 (((!!) @ (^[Y2 : a]: 32.31/4.84 (((((((!!) @ (^[Y3 : a > a > $o]: 32.31/4.84 (((((((!!) @ ( 32.31/4.84 ^[Y4 : a]: 32.31/4.84 (( 32.31/4.84 (!!) @ ( 32.31/4.84 ^[Y5 : a]: 32.31/4.84 (( 32.31/4.84 (( 32.31/4.84 ('#sk2' @ 32.31/4.84 Y4 @ 32.31/4.84 Y5) | 32.31/4.84 ('#sk1' @ 32.31/4.84 Y4 @ Y5))) => 32.31/4.84 (Y3 @ 32.31/4.84 Y4 @ Y5))))))))) & 32.31/4.84 (((!!) @ ( 32.31/4.84 ^[Y4 : a]: 32.31/4.84 (( 32.31/4.84 (!!) @ ( 32.31/4.84 ^[Y5 : a]: 32.31/4.84 (( 32.31/4.84 (!!) @ ( 32.31/4.84 ^[Y6 : a]: 32.31/4.84 (( 32.31/4.84 (( 32.31/4.84 (Y3 @ 32.31/4.84 Y4 @ 32.31/4.84 Y5) & 32.31/4.84 (Y3 @ 32.31/4.84 Y5 @ Y6))) => 32.31/4.84 (Y3 @ 32.31/4.84 Y4 @ Y6)))))))))))))) => 32.31/4.84 (Y3 @ Y0 @ 32.31/4.84 Y1)))))) & 32.31/4.84 (((!!) @ (^[Y3 : a > a > $o]: 32.31/4.84 (((((((!!) @ ( 32.31/4.84 ^[Y4 : a]: 32.31/4.84 (( 32.31/4.84 (!!) @ ( 32.31/4.84 ^[Y5 : a]: 32.31/4.84 (( 32.31/4.84 (( 32.31/4.84 ('#sk2' @ 32.31/4.84 Y4 @ 32.31/4.84 Y5) | 32.31/4.84 ('#sk1' @ 32.31/4.84 Y4 @ Y5))) => 32.31/4.84 (Y3 @ 32.31/4.84 Y4 @ Y5))))))))) & 32.31/4.84 (((!!) @ ( 32.31/4.84 ^[Y4 : a]: 32.31/4.84 (( 32.31/4.84 (!!) @ ( 32.31/4.84 ^[Y5 : a]: 32.31/4.84 (( 32.31/4.84 (!!) @ ( 32.31/4.84 ^[Y6 : a]: 32.31/4.84 (( 32.31/4.84 (( 32.31/4.84 (Y3 @ 32.31/4.84 Y5 @ 32.31/4.84 Y6) & 32.31/4.84 (Y3 @ 32.31/4.84 Y4 @ Y5))) => 32.31/4.84 (Y3 @ 32.31/4.84 Y4 @ Y6)))))))))))))) => 32.31/4.84 (Y3 @ Y1 @ 32.31/4.84 Y2)))))))) => 32.31/4.84 (((!!) @ (^[Y3 : a > a > $o]: 32.31/4.84 (((((((!!) @ ( 32.31/4.84 ^[Y4 : a]: 32.31/4.84 ( 32.31/4.84 ( 32.31/4.84 (!!) @ ( 32.31/4.84 ^[Y5 : a]: 32.31/4.84 (( 32.31/4.84 (!!) @ ( 32.31/4.84 ^[Y6 : a]: 32.31/4.84 (( 32.31/4.84 (( 32.31/4.84 (Y3 @ 32.31/4.84 Y4 @ 32.31/4.84 Y5) & 32.31/4.84 (Y3 @ 32.31/4.84 Y5 @ Y6))) => 32.31/4.84 (Y3 @ 32.31/4.84 Y4 @ Y6)))))))))))) & 32.31/4.84 (((!!) @ ( 32.31/4.84 ^[Y4 : a]: 32.31/4.84 ( 32.31/4.84 ( 32.31/4.84 (!!) @ ( 32.31/4.84 ^[Y5 : a]: 32.31/4.84 (( 32.31/4.84 (( 32.31/4.84 ('#sk1' @ 32.31/4.84 Y4 @ 32.31/4.84 Y5) | 32.31/4.84 ('#sk2' @ 32.31/4.84 Y4 @ Y5))) => 32.31/4.84 (Y3 @ 32.31/4.84 Y4 @ Y5))))))))))) => 32.31/4.84 (Y3 @ Y0 @ Y2))))))))))))))))))), 32.31/4.84 define([status(thm)])). 32.31/4.84 thf(zip_derived_cl17, plain, 32.31/4.84 (![X2 : a > a > $o]: 32.31/4.84 (~ ('#form14') 32.31/4.84 | ~ (((!!) @ (^[Y0 : a]: 32.31/4.84 (((!!) @ (^[Y1 : a]: 32.31/4.84 (((((((!!) @ (^[Y2 : a > a > $o]: 32.31/4.84 (((((((!!) @ (^[Y3 : a]: 32.31/4.84 ( 32.31/4.84 ( 32.31/4.84 (!!) @ ( 32.31/4.84 ^[Y4 : a]: 32.31/4.84 (( 32.31/4.84 (!!) @ ( 32.31/4.84 ^[Y5 : a]: 32.31/4.84 (( 32.31/4.84 (( 32.31/4.84 (Y2 @ 32.31/4.84 Y3 @ 32.31/4.84 Y4) & 32.31/4.84 (Y2 @ 32.31/4.84 Y4 @ Y5))) => 32.31/4.84 (Y2 @ 32.31/4.84 Y3 @ Y5)))))))))))) & 32.31/4.84 (((!!) @ (^[Y3 : a]: 32.31/4.84 ( 32.31/4.84 ( 32.31/4.84 (!!) @ ( 32.31/4.84 ^[Y4 : a]: 32.31/4.84 (( 32.31/4.84 ('#sk2' @ 32.31/4.84 Y3 @ 32.31/4.84 Y4) => 32.31/4.84 (Y2 @ 32.31/4.84 Y3 @ Y4))))))))))) => 32.31/4.84 (Y2 @ Y0 @ Y1)))))) | 32.31/4.84 (((!!) @ (^[Y2 : a > a > $o]: 32.31/4.84 (((((((!!) @ (^[Y3 : a]: 32.31/4.84 ( 32.31/4.84 ( 32.31/4.84 (!!) @ ( 32.31/4.84 ^[Y4 : a]: 32.31/4.84 (( 32.31/4.84 (!!) @ ( 32.31/4.84 ^[Y5 : a]: 32.31/4.84 (( 32.31/4.84 (( 32.31/4.84 (Y2 @ 32.31/4.84 Y3 @ 32.31/4.84 Y4) & 32.31/4.84 (Y2 @ 32.31/4.84 Y4 @ Y5))) => 32.31/4.84 (Y2 @ 32.31/4.84 Y3 @ Y5)))))))))))) & 32.31/4.84 (((!!) @ (^[Y3 : a]: 32.31/4.84 ( 32.31/4.84 ( 32.31/4.84 (!!) @ ( 32.31/4.84 ^[Y4 : a]: 32.31/4.84 (( 32.31/4.84 ('#sk1' @ 32.31/4.84 Y3 @ 32.31/4.84 Y4) => 32.31/4.84 (Y2 @ 32.31/4.84 Y3 @ Y4))))))))))) => 32.31/4.84 (Y2 @ Y0 @ Y1)))))))) => 32.31/4.84 (((!!) @ (^[Y2 : a > a > $o]: 32.31/4.84 (((((((!!) @ (^[Y3 : a]: 32.31/4.84 (((!!) @ ( 32.31/4.84 ^[Y4 : a]: 32.31/4.84 (( 32.31/4.84 (( 32.31/4.84 ('#sk1' @ 32.31/4.84 Y3 @ 32.31/4.84 Y4) | 32.31/4.84 ('#sk2' @ 32.31/4.84 Y3 @ Y4))) => 32.31/4.84 (Y2 @ 32.31/4.84 Y3 @ Y4))))))))) & 32.31/4.84 (((!!) @ (^[Y3 : a]: 32.31/4.84 (((!!) @ ( 32.31/4.84 ^[Y4 : a]: 32.31/4.84 (( 32.31/4.84 (!!) @ ( 32.31/4.84 ^[Y5 : a]: 32.31/4.84 (( 32.31/4.84 (( 32.31/4.84 (Y2 @ 32.31/4.84 Y4 @ 32.31/4.84 Y5) & 32.31/4.84 (Y2 @ 32.31/4.84 Y3 @ Y4))) => 32.31/4.84 (Y2 @ 32.31/4.84 Y3 @ Y5)))))))))))))) => 32.31/4.84 (Y2 @ Y0 @ Y1)))))))))))))) 32.31/4.84 | (((((((!!) @ (^[Y0 : a]: 32.31/4.84 (((!!) @ (^[Y1 : a]: 32.31/4.84 ((((('#sk1' @ Y0 @ Y1) | ('#sk2' @ 32.31/4.84 Y0 @ Y1))) => 32.31/4.84 (X2 @ Y0 @ Y1))))))))) & 32.31/4.84 (((!!) @ (^[Y0 : a]: 32.31/4.84 (((!!) @ (^[Y1 : a]: 32.31/4.84 (((!!) @ (^[Y2 : a]: 32.31/4.84 (((((X2 @ Y1 @ Y2) & 32.31/4.84 (X2 @ Y0 @ Y1))) => 32.31/4.84 (X2 @ Y0 @ Y2)))))))))))))) => 32.31/4.84 (X2 @ '#sk3' @ '#sk4'))))), 32.31/4.84 inference('renaming', [status(thm)], [zip_derived_cl9, zip_derived_cl15])). 32.31/4.84 thf(zip_derived_cl20, plain, 32.31/4.84 (( ('#form24') 32.31/4.84 | ~ (((!!) @ (^[Y0 : a]: 32.31/4.84 (((!!) @ (^[Y1 : a]: 32.31/4.84 (((((((!!) @ (^[Y2 : a > a > $o]: 32.31/4.84 (((((((!!) @ (^[Y3 : a]: 32.31/4.84 (((!!) @ ( 32.31/4.84 ^[Y4 : a]: 32.31/4.84 (( 32.31/4.84 (!!) @ ( 32.31/4.84 ^[Y5 : a]: 32.31/4.84 (( 32.31/4.84 (( 32.31/4.84 (Y2 @ 32.31/4.84 Y3 @ 32.31/4.84 Y4) & 32.31/4.84 (Y2 @ 32.31/4.84 Y4 @ Y5))) => 32.31/4.84 (Y2 @ 32.31/4.84 Y3 @ Y5)))))))))))) & 32.31/4.84 (((!!) @ (^[Y3 : a]: 32.31/4.84 (((!!) @ ( 32.31/4.84 ^[Y4 : a]: 32.31/4.84 (( 32.31/4.84 ('#sk2' @ 32.31/4.84 Y3 @ 32.31/4.84 Y4) => 32.31/4.84 (Y2 @ 32.31/4.84 Y3 @ Y4))))))))))) => 32.31/4.84 (Y2 @ Y0 @ Y1)))))) | 32.31/4.84 (((!!) @ (^[Y2 : a > a > $o]: 32.31/4.84 (((((((!!) @ (^[Y3 : a]: 32.31/4.84 (((!!) @ ( 32.31/4.84 ^[Y4 : a]: 32.31/4.84 (( 32.31/4.84 (!!) @ ( 32.31/4.84 ^[Y5 : a]: 32.31/4.84 (( 32.31/4.84 (( 32.31/4.84 (Y2 @ 32.31/4.84 Y3 @ 32.31/4.84 Y4) & 32.31/4.84 (Y2 @ 32.31/4.84 Y4 @ Y5))) => 32.31/4.84 (Y2 @ 32.31/4.84 Y3 @ Y5)))))))))))) & 32.31/4.84 (((!!) @ (^[Y3 : a]: 32.31/4.84 (((!!) @ ( 32.31/4.84 ^[Y4 : a]: 32.31/4.84 (( 32.31/4.84 ('#sk1' @ 32.31/4.84 Y3 @ 32.31/4.84 Y4) => 32.31/4.84 (Y2 @ 32.31/4.84 Y3 @ Y4))))))))))) => 32.31/4.84 (Y2 @ Y0 @ Y1)))))))) => 32.31/4.84 (((!!) @ (^[Y2 : a > a > $o]: 32.31/4.84 (((((((!!) @ (^[Y3 : a]: 32.31/4.84 (((!!) @ ( 32.31/4.84 ^[Y4 : a]: 32.31/4.84 ( 32.31/4.84 ( 32.31/4.84 (( 32.31/4.84 ('#sk1' @ 32.31/4.84 Y3 @ 32.31/4.84 Y4) | 32.31/4.84 ('#sk2' @ 32.31/4.84 Y3 @ Y4))) => 32.31/4.84 (Y2 @ 32.31/4.84 Y3 @ Y4))))))))) & 32.31/4.84 (((!!) @ (^[Y3 : a]: 32.31/4.84 (((!!) @ ( 32.31/4.84 ^[Y4 : a]: 32.31/4.84 ( 32.31/4.84 ( 32.31/4.84 (!!) @ ( 32.31/4.84 ^[Y5 : a]: 32.31/4.84 (( 32.31/4.84 (( 32.31/4.84 (Y2 @ 32.31/4.84 Y4 @ 32.31/4.84 Y5) & 32.31/4.84 (Y2 @ 32.31/4.84 Y3 @ Y4))) => 32.31/4.84 (Y2 @ 32.31/4.84 Y3 @ Y5)))))))))))))) => 32.31/4.84 (Y2 @ Y0 @ Y1)))))))))))))))), 32.31/4.84 define([status(thm)])). 32.31/4.84 thf(zip_derived_cl21, plain, 32.31/4.84 ((~ (((!!) @ (^[Y0 : a]: 32.31/4.84 (((((((!!) @ (^[Y1 : a > a > $o]: 32.31/4.84 (((((((!!) @ (^[Y2 : a]: 32.31/4.84 (((!!) @ (^[Y3 : a]: 32.31/4.84 (((!!) @ ( 32.31/4.84 ^[Y4 : a]: 32.31/4.84 ( 32.31/4.84 ( 32.31/4.84 (( 32.31/4.84 (Y1 @ 32.31/4.84 Y2 @ 32.31/4.84 Y3) & 32.31/4.84 (Y1 @ 32.31/4.84 Y3 @ Y4))) => 32.31/4.84 (Y1 @ 32.31/4.84 Y2 @ Y4)))))))))))) & 32.31/4.84 (((!!) @ (^[Y2 : a]: 32.31/4.84 (((!!) @ (^[Y3 : a]: 32.31/4.84 ((('#sk2' @ 32.31/4.84 Y2 @ Y3) => 32.31/4.84 (Y1 @ Y2 @ 32.31/4.84 Y3))))))))))) => 32.31/4.84 (Y1 @ '#sk25' @ Y0)))))) | 32.31/4.84 (((!!) @ (^[Y1 : a > a > $o]: 32.31/4.84 (((((((!!) @ (^[Y2 : a]: 32.31/4.84 (((!!) @ (^[Y3 : a]: 32.31/4.84 (((!!) @ ( 32.31/4.84 ^[Y4 : a]: 32.31/4.84 ( 32.31/4.84 ( 32.31/4.84 (( 32.31/4.84 (Y1 @ 32.31/4.84 Y2 @ 32.31/4.84 Y3) & 32.31/4.84 (Y1 @ 32.31/4.84 Y3 @ Y4))) => 32.31/4.84 (Y1 @ 32.31/4.84 Y2 @ Y4)))))))))))) & 32.31/4.84 (((!!) @ (^[Y2 : a]: 32.31/4.84 (((!!) @ (^[Y3 : a]: 32.31/4.84 ((('#sk1' @ 32.31/4.84 Y2 @ Y3) => 32.31/4.84 (Y1 @ Y2 @ 32.31/4.84 Y3))))))))))) => 32.31/4.84 (Y1 @ '#sk25' @ Y0)))))))) => 32.31/4.84 (((!!) @ (^[Y1 : a > a > $o]: 32.31/4.84 (((((((!!) @ (^[Y2 : a]: 32.31/4.84 (((!!) @ (^[Y3 : a]: 32.31/4.84 ((((('#sk1' @ 32.31/4.84 Y2 @ Y3) | 32.31/4.84 ('#sk2' @ 32.31/4.84 Y2 @ Y3))) => 32.31/4.84 (Y1 @ Y2 @ 32.31/4.84 Y3))))))))) & 32.31/4.84 (((!!) @ (^[Y2 : a]: 32.31/4.84 (((!!) @ (^[Y3 : a]: 32.31/4.84 (((!!) @ ( 32.31/4.84 ^[Y4 : a]: 32.31/4.84 (((( 32.31/4.84 (Y1 @ 32.31/4.84 Y3 @ 32.31/4.84 Y4) & 32.31/4.84 (Y1 @ 32.31/4.84 Y2 @ Y3))) => 32.31/4.84 (Y1 @ 32.31/4.84 Y2 @ Y4)))))))))))))) => 32.31/4.84 (Y1 @ '#sk25' @ Y0))))))))))) 32.31/4.84 | ('#form24'))), 32.31/4.84 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl20])). 32.31/4.84 thf(zip_derived_cl27, plain, 32.31/4.84 ((~ (((((((!!) @ (^[Y0 : a > a > $o]: 32.31/4.84 (((((((!!) @ (^[Y1 : a]: 32.31/4.84 (((!!) @ (^[Y2 : a]: 32.31/4.84 (((!!) @ (^[Y3 : a]: 32.31/4.84 (((((Y0 @ 32.31/4.84 Y1 @ 32.31/4.84 Y2) & 32.31/4.84 (Y0 @ 32.31/4.84 Y2 @ Y3))) => 32.31/4.84 (Y0 @ Y1 @ 32.31/4.84 Y3)))))))))))) & 32.31/4.84 (((!!) @ (^[Y1 : a]: 32.31/4.84 (((!!) @ (^[Y2 : a]: 32.31/4.84 ((('#sk2' @ Y1 @ Y2) => 32.31/4.84 (Y0 @ Y1 @ Y2))))))))))) => 32.31/4.84 (Y0 @ '#sk25' @ '#sk35')))))) | 32.31/4.84 (((!!) @ (^[Y0 : a > a > $o]: 32.31/4.84 (((((((!!) @ (^[Y1 : a]: 32.31/4.84 (((!!) @ (^[Y2 : a]: 32.31/4.84 (((!!) @ (^[Y3 : a]: 32.31/4.84 (((((Y0 @ 32.31/4.84 Y1 @ 32.31/4.84 Y2) & 32.31/4.84 (Y0 @ 32.31/4.84 Y2 @ Y3))) => 32.31/4.84 (Y0 @ Y1 @ 32.31/4.84 Y3)))))))))))) & 32.31/4.84 (((!!) @ (^[Y1 : a]: 32.31/4.84 (((!!) @ (^[Y2 : a]: 32.31/4.84 ((('#sk1' @ Y1 @ Y2) => 32.31/4.84 (Y0 @ Y1 @ Y2))))))))))) => 32.31/4.84 (Y0 @ '#sk25' @ '#sk35')))))))) => 32.31/4.84 (((!!) @ (^[Y0 : a > a > $o]: 32.31/4.84 (((((((!!) @ (^[Y1 : a]: 32.31/4.84 (((!!) @ (^[Y2 : a]: 32.31/4.84 ((((('#sk1' @ Y1 @ Y2) | 32.31/4.84 ('#sk2' @ Y1 @ Y2))) => 32.31/4.84 (Y0 @ Y1 @ Y2))))))))) & 32.31/4.84 (((!!) @ (^[Y1 : a]: 32.31/4.84 (((!!) @ (^[Y2 : a]: 32.31/4.84 (((!!) @ (^[Y3 : a]: 32.31/4.84 (((((Y0 @ Y2 @ 32.31/4.84 Y3) & 32.31/4.84 (Y0 @ Y1 @ 32.31/4.84 Y2))) => 32.31/4.84 (Y0 @ Y1 @ 32.31/4.84 Y3)))))))))))))) => 32.31/4.84 (Y0 @ '#sk25' @ '#sk35')))))))) 32.31/4.84 | ('#form24'))), 32.31/4.84 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl21])). 32.31/4.84 thf(zip_derived_cl32, plain, 32.31/4.84 (( (((((!!) @ (^[Y0 : a > a > $o]: 32.31/4.84 (((((((!!) @ (^[Y1 : a]: 32.31/4.84 (((!!) @ (^[Y2 : a]: 32.31/4.84 (((!!) @ (^[Y3 : a]: 32.31/4.84 (((((Y0 @ Y1 @ 32.31/4.84 Y2) & (Y0 @ 32.31/4.84 Y2 @ Y3))) => 32.31/4.84 (Y0 @ Y1 @ Y3)))))))))))) & 32.31/4.84 (((!!) @ (^[Y1 : a]: 32.31/4.84 (((!!) @ (^[Y2 : a]: 32.31/4.84 ((('#sk2' @ Y1 @ Y2) => 32.31/4.84 (Y0 @ Y1 @ Y2))))))))))) => 32.31/4.84 (Y0 @ '#sk25' @ '#sk35')))))) | 32.31/4.84 (((!!) @ (^[Y0 : a > a > $o]: 32.31/4.84 (((((((!!) @ (^[Y1 : a]: 32.31/4.84 (((!!) @ (^[Y2 : a]: 32.31/4.84 (((!!) @ (^[Y3 : a]: 32.31/4.84 (((((Y0 @ Y1 @ 32.31/4.84 Y2) & (Y0 @ 32.31/4.84 Y2 @ Y3))) => 32.31/4.84 (Y0 @ Y1 @ Y3)))))))))))) & 32.31/4.84 (((!!) @ (^[Y1 : a]: 32.31/4.84 (((!!) @ (^[Y2 : a]: 32.31/4.84 ((('#sk1' @ Y1 @ Y2) => 32.31/4.84 (Y0 @ Y1 @ Y2))))))))))) => 32.31/4.84 (Y0 @ '#sk25' @ '#sk35')))))))) 32.31/4.84 | ('#form24'))), 32.31/4.84 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl27])). 32.31/4.84 thf(zip_derived_cl39, plain, 32.31/4.84 (( (((!!) @ (^[Y0 : a > a > $o]: 32.31/4.84 (((((((!!) @ (^[Y1 : a]: 32.31/4.84 (((!!) @ (^[Y2 : a]: 32.31/4.84 (((!!) @ (^[Y3 : a]: 32.31/4.84 (((((Y0 @ Y1 @ 32.31/4.84 Y2) & (Y0 @ 32.31/4.84 Y2 @ Y3))) => 32.31/4.84 (Y0 @ Y1 @ Y3)))))))))))) & 32.31/4.84 (((!!) @ (^[Y1 : a]: 32.31/4.84 (((!!) @ (^[Y2 : a]: 32.31/4.84 ((('#sk2' @ Y1 @ Y2) => (Y0 @ 32.31/4.84 Y1 @ Y2))))))))))) => 32.31/4.84 (Y0 @ '#sk25' @ '#sk35')))))) 32.31/4.84 | (((!!) @ (^[Y0 : a > a > $o]: 32.31/4.84 (((((((!!) @ (^[Y1 : a]: 32.31/4.84 (((!!) @ (^[Y2 : a]: 32.31/4.84 (((!!) @ (^[Y3 : a]: 32.31/4.84 (((((Y0 @ Y1 @ 32.31/4.84 Y2) & (Y0 @ 32.31/4.84 Y2 @ Y3))) => 32.31/4.84 (Y0 @ Y1 @ Y3)))))))))))) & 32.31/4.84 (((!!) @ (^[Y1 : a]: 32.31/4.84 (((!!) @ (^[Y2 : a]: 32.31/4.84 ((('#sk1' @ Y1 @ Y2) => 32.31/4.84 (Y0 @ Y1 @ Y2))))))))))) => 32.31/4.84 (Y0 @ '#sk25' @ '#sk35')))))) 32.31/4.84 | ('#form24'))), 32.31/4.84 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl32])). 32.31/4.84 thf(zip_derived_cl50, plain, 32.31/4.84 (![X2 : a > a > $o]: 32.31/4.84 ( (((((((!!) @ (^[Y0 : a]: 32.31/4.84 (((!!) @ (^[Y1 : a]: 32.31/4.84 (((!!) @ (^[Y2 : a]: 32.31/4.84 (((((X2 @ Y0 @ Y1) & (X2 @ 32.31/4.84 Y1 @ Y2))) => 32.31/4.84 (X2 @ Y0 @ Y2)))))))))))) & 32.31/4.84 (((!!) @ (^[Y0 : a]: 32.31/4.84 (((!!) @ (^[Y1 : a]: 32.31/4.84 ((('#sk2' @ Y0 @ Y1) => (X2 @ Y0 @ Y1))))))))))) => 32.31/4.84 (X2 @ '#sk25' @ '#sk35'))) 32.31/4.84 | ('#form24') 32.31/4.84 | (((!!) @ (^[Y0 : a > a > $o]: 32.31/4.84 (((((((!!) @ (^[Y1 : a]: 32.31/4.84 (((!!) @ (^[Y2 : a]: 32.31/4.84 (((!!) @ (^[Y3 : a]: 32.31/4.84 (((((Y0 @ 32.31/4.84 Y1 @ Y2) & 32.31/4.84 (Y0 @ 32.31/4.84 Y2 @ Y3))) => 32.31/4.84 (Y0 @ Y1 @ 32.31/4.84 Y3)))))))))))) & 32.31/4.84 (((!!) @ (^[Y1 : a]: 32.31/4.84 (((!!) @ (^[Y2 : a]: 32.31/4.84 ((('#sk1' @ Y1 @ Y2) => 32.31/4.84 (Y0 @ Y1 @ Y2))))))))))) => 32.31/4.84 (Y0 @ '#sk25' @ '#sk35')))))))), 32.31/4.84 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl39])). 32.31/4.84 thf(zip_derived_cl75, plain, 32.31/4.84 ((~ ('#form96') 32.31/4.84 | (((!!) @ (^[Y0 : a > a > $o]: 32.31/4.84 (((((((!!) @ (^[Y1 : a]: 32.31/4.84 (((!!) @ (^[Y2 : a]: 32.31/4.84 (((!!) @ (^[Y3 : a]: 32.31/4.84 (((((Y0 @ Y1 @ 32.31/4.84 Y2) & (Y0 @ 32.31/4.84 Y2 @ Y3))) => 32.31/4.84 (Y0 @ Y1 @ Y3)))))))))))) & 32.31/4.84 (((!!) @ (^[Y1 : a]: 32.31/4.84 (((!!) @ (^[Y2 : a]: 32.31/4.84 ((('#sk1' @ Y1 @ Y2) => 32.31/4.84 (Y0 @ Y1 @ Y2))))))))))) => 32.31/4.84 (Y0 @ '#sk25' @ '#sk35')))))))), 32.31/4.84 define([status(thm)])). 32.31/4.84 thf(zip_derived_cl76, plain, 32.31/4.84 (![X2 : a > a > $o]: 32.31/4.84 ( (((((((!!) @ (^[Y0 : a]: 32.31/4.84 (((!!) @ (^[Y1 : a]: 32.31/4.84 (((!!) @ (^[Y2 : a]: 32.31/4.84 (((((X2 @ Y0 @ Y1) & (X2 @ 32.31/4.84 Y1 @ Y2))) => 32.31/4.84 (X2 @ Y0 @ Y2)))))))))))) & 32.31/4.84 (((!!) @ (^[Y0 : a]: 32.31/4.84 (((!!) @ (^[Y1 : a]: 32.31/4.84 ((('#sk1' @ Y0 @ Y1) => (X2 @ Y0 @ Y1))))))))))) => 32.31/4.84 (X2 @ '#sk25' @ '#sk35'))) 32.31/4.84 | ~ ('#form96'))), 32.31/4.84 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl75])). 32.31/4.84 thf(zip_derived_cl92, plain, 32.31/4.84 (![X2 : a > a > $o]: 32.31/4.84 (~ (((((!!) @ (^[Y0 : a]: 32.31/4.84 (((!!) @ (^[Y1 : a]: 32.31/4.84 (((!!) @ (^[Y2 : a]: 32.31/4.84 (((((X2 @ Y0 @ Y1) & (X2 @ 32.31/4.84 Y1 @ Y2))) => 32.31/4.84 (X2 @ Y0 @ Y2)))))))))))) & 32.31/4.84 (((!!) @ (^[Y0 : a]: 32.31/4.84 (((!!) @ (^[Y1 : a]: 32.31/4.84 ((('#sk1' @ Y0 @ Y1) => (X2 @ Y0 @ Y1))))))))))) 32.31/4.84 | (X2 @ '#sk25' @ '#sk35') 32.31/4.84 | ~ ('#form96'))), 32.31/4.84 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl76])). 32.31/4.84 thf(zip_derived_cl102, plain, 32.31/4.84 (![X2 : a > a > $o]: 32.31/4.84 (~ (((!!) @ (^[Y0 : a]: 32.31/4.84 (((!!) @ (^[Y1 : a]: 32.31/4.84 (((!!) @ (^[Y2 : a]: 32.31/4.84 (((((X2 @ Y0 @ Y1) & (X2 @ 32.31/4.84 Y1 @ Y2))) => 32.31/4.84 (X2 @ Y0 @ Y2)))))))))))) 32.31/4.84 | ~ (((!!) @ (^[Y0 : a]: 32.31/4.84 (((!!) @ (^[Y1 : a]: 32.31/4.84 ((('#sk1' @ Y0 @ Y1) => (X2 @ Y0 @ Y1))))))))) 32.31/4.84 | ~ ('#form96') 32.31/4.84 | (X2 @ '#sk25' @ '#sk35'))), 32.31/4.84 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl92])). 32.31/4.84 thf(zip_derived_cl105, plain, 32.31/4.84 (![X2 : a > a > $o]: 32.31/4.84 ( ('#form221' @ X2) 32.31/4.84 | ~ (((!!) @ (^[Y0 : a]: 32.31/4.84 (((!!) @ (^[Y1 : a]: 32.31/4.84 (((!!) @ (^[Y2 : a]: 32.31/4.84 (((((X2 @ Y0 @ Y1) & (X2 @ 32.31/4.84 Y1 @ Y2))) => 32.31/4.84 (X2 @ Y0 @ Y2)))))))))))))), 32.31/4.84 define([status(thm)])). 32.31/4.84 thf(zip_derived_cl114, plain, 32.31/4.84 (![X2 : a > a > $o]: 32.31/4.84 (~ ('#form221' @ (^[Y0 : a,Y1 : a]: (X2 @ Y0 @ Y1))) 32.31/4.84 | (X2 @ '#sk25' @ '#sk35') 32.31/4.84 | ~ ('#form96') 32.31/4.84 | ~ (((!!) @ (^[Y0 : a]: 32.31/4.84 (((!!) @ (^[Y1 : a]: 32.31/4.84 ((('#sk1' @ Y0 @ Y1) => (X2 @ Y0 @ Y1))))))))))), 32.31/4.84 inference('renaming', [status(thm)], 32.31/4.84 [zip_derived_cl102, zip_derived_cl105])). 32.31/4.84 thf(zip_derived_cl127, plain, 32.31/4.84 (![X2 : a > a > $o]: 32.31/4.84 (~ ('#form221' @ X2) 32.31/4.84 | (X2 @ '#sk25' @ '#sk35') 32.31/4.84 | ~ ('#form96') 32.31/4.84 | ~ (((!!) @ (^[Y0 : a]: 32.31/4.84 (((!!) @ (^[Y1 : a]: 32.31/4.84 ((('#sk1' @ Y0 @ Y1) => (X2 @ Y0 @ Y1))))))))))), 32.31/4.84 inference('ho_norm', [status(thm)], [zip_derived_cl114])). 32.31/4.84 thf(zip_derived_cl128, plain, 32.31/4.84 (![X2 : a > a > $o]: 32.31/4.84 (~ (((!!) @ (^[Y0 : a]: 32.31/4.84 ((('#sk1' @ ('#sk359' @ X2) @ Y0) => (X2 @ 32.31/4.84 ('#sk359' @ X2) @ Y0)))))) 32.31/4.84 | ~ ('#form96') 32.31/4.84 | (X2 @ '#sk25' @ '#sk35') 32.31/4.84 | ~ ('#form221' @ X2))), 32.31/4.84 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl127])). 32.31/4.84 thf(zip_derived_cl144, plain, 32.31/4.84 (![X2 : a > a > $o]: 32.31/4.84 (~ ((('#sk1' @ ('#sk359' @ X2) @ ('#sk455' @ X2)) => (X2 @ 32.31/4.84 ('#sk359' @ X2) @ ('#sk455' @ X2)))) 32.31/4.84 | ~ ('#form221' @ X2) 32.31/4.84 | (X2 @ '#sk25' @ '#sk35') 32.31/4.84 | ~ ('#form96'))), 32.31/4.84 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl128])). 32.31/4.84 thf(zip_derived_cl158, plain, 32.31/4.84 (![X2 : a > a > $o]: 32.31/4.84 (~ (X2 @ ('#sk359' @ X2) @ ('#sk455' @ X2)) 32.31/4.84 | ~ ('#form96') 32.31/4.84 | (X2 @ '#sk25' @ '#sk35') 32.31/4.84 | ~ ('#form221' @ X2))), 32.31/4.84 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl144])). 32.31/4.84 thf(zip_derived_cl9, plain, 32.31/4.84 (![X2 : a > a > $o]: 32.31/4.84 ( (((((((!!) @ (^[Y0 : a]: 32.31/4.84 (((!!) @ (^[Y1 : a]: 32.31/4.84 ((((('#sk1' @ Y0 @ Y1) | ('#sk2' @ Y0 @ 32.31/4.84 Y1))) => 32.31/4.84 (X2 @ Y0 @ Y1))))))))) & 32.31/4.84 (((!!) @ (^[Y0 : a]: 32.31/4.84 (((!!) @ (^[Y1 : a]: 32.31/4.84 (((!!) @ (^[Y2 : a]: 32.31/4.84 (((((X2 @ Y1 @ Y2) & (X2 @ 32.31/4.84 Y0 @ Y1))) => 32.31/4.84 (X2 @ Y0 @ Y2)))))))))))))) => 32.31/4.84 (X2 @ '#sk3' @ '#sk4'))) 32.31/4.84 | ~ (((!!) @ (^[Y0 : a]: 32.31/4.84 (((!!) @ (^[Y1 : a]: 32.31/4.84 (((!!) @ (^[Y2 : a]: 32.31/4.84 (((((((!!) @ (^[Y3 : 32.31/4.84 a > a > $o]: 32.31/4.84 (((((( 32.31/4.84 (!!) @ ( 32.31/4.84 ^[Y4 : a]: 32.31/4.84 (( 32.31/4.84 (!!) @ ( 32.31/4.84 ^[Y5 : a]: 32.31/4.84 (( 32.31/4.84 (( 32.31/4.84 ('#sk2' @ 32.31/4.84 Y4 @ 32.31/4.84 Y5) | 32.31/4.84 ('#sk1' @ 32.31/4.84 Y4 @ Y5))) => 32.31/4.84 (Y3 @ 32.31/4.84 Y4 @ Y5))))))))) & 32.31/4.84 (( 32.31/4.84 (!!) @ ( 32.31/4.84 ^[Y4 : a]: 32.31/4.84 (( 32.31/4.84 (!!) @ ( 32.31/4.84 ^[Y5 : a]: 32.31/4.84 (( 32.31/4.84 (!!) @ ( 32.31/4.84 ^[Y6 : a]: 32.31/4.84 (( 32.31/4.84 (( 32.31/4.84 (Y3 @ 32.31/4.84 Y4 @ 32.31/4.84 Y5) & 32.31/4.84 (Y3 @ 32.31/4.84 Y5 @ Y6))) => 32.31/4.84 (Y3 @ 32.31/4.84 Y4 @ Y6)))))))))))))) => 32.31/4.84 (Y3 @ Y0 @ 32.31/4.84 Y1)))))) & 32.31/4.84 (((!!) @ (^[Y3 : 32.31/4.84 a > a > $o]: 32.31/4.84 (((((( 32.31/4.84 (!!) @ ( 32.31/4.84 ^[Y4 : a]: 32.31/4.84 (( 32.31/4.84 (!!) @ ( 32.31/4.84 ^[Y5 : a]: 32.31/4.84 (( 32.31/4.84 (( 32.31/4.84 ('#sk2' @ 32.31/4.84 Y4 @ 32.31/4.84 Y5) | 32.31/4.84 ('#sk1' @ 32.31/4.84 Y4 @ Y5))) => 32.31/4.84 (Y3 @ 32.31/4.84 Y4 @ Y5))))))))) & 32.31/4.84 (( 32.31/4.84 (!!) @ ( 32.31/4.84 ^[Y4 : a]: 32.31/4.84 (( 32.31/4.84 (!!) @ ( 32.31/4.84 ^[Y5 : a]: 32.31/4.84 (( 32.31/4.84 (!!) @ ( 32.31/4.84 ^[Y6 : a]: 32.31/4.84 (( 32.31/4.84 (( 32.31/4.84 (Y3 @ 32.31/4.84 Y5 @ 32.31/4.84 Y6) & 32.31/4.84 (Y3 @ 32.31/4.84 Y4 @ Y5))) => 32.31/4.84 (Y3 @ 32.31/4.84 Y4 @ Y6)))))))))))))) => 32.31/4.84 (Y3 @ Y1 @ 32.31/4.84 Y2)))))))) => 32.31/4.84 (((!!) @ (^[Y3 : a > a > $o]: 32.31/4.84 (((((((!!) @ ( 32.31/4.84 ^[Y4 : a]: 32.31/4.84 (( 32.31/4.84 (!!) @ ( 32.31/4.84 ^[Y5 : a]: 32.31/4.84 (( 32.31/4.84 (!!) @ ( 32.31/4.84 ^[Y6 : a]: 32.31/4.84 (( 32.31/4.84 (( 32.31/4.84 (Y3 @ 32.31/4.84 Y4 @ 32.31/4.84 Y5) & 32.31/4.84 (Y3 @ 32.31/4.84 Y5 @ Y6))) => 32.31/4.84 (Y3 @ 32.31/4.84 Y4 @ Y6)))))))))))) & 32.31/4.84 (((!!) @ ( 32.31/4.84 ^[Y4 : a]: 32.31/4.84 (( 32.31/4.84 (!!) @ ( 32.31/4.84 ^[Y5 : a]: 32.31/4.84 (( 32.31/4.84 (( 32.31/4.84 ('#sk1' @ 32.31/4.84 Y4 @ 32.31/4.84 Y5) | 32.31/4.84 ('#sk2' @ 32.31/4.84 Y4 @ Y5))) => 32.31/4.84 (Y3 @ 32.31/4.84 Y4 @ Y5))))))))))) => 32.31/4.84 (Y3 @ Y0 @ 32.31/4.84 Y2))))))))))))))))) 32.31/4.84 | ~ (((!!) @ (^[Y0 : a]: 32.31/4.84 (((!!) @ (^[Y1 : a]: 32.31/4.84 (((((((!!) @ (^[Y2 : a > a > $o]: 32.31/4.84 (((((((!!) @ (^[Y3 : a]: 32.31/4.84 ( 32.31/4.84 ( 32.31/4.84 (!!) @ ( 32.31/4.84 ^[Y4 : a]: 32.31/4.84 (( 32.31/4.84 (!!) @ ( 32.31/4.84 ^[Y5 : a]: 32.31/4.84 (( 32.31/4.84 (( 32.31/4.84 (Y2 @ 32.31/4.84 Y3 @ 32.31/4.84 Y4) & 32.31/4.84 (Y2 @ 32.31/4.84 Y4 @ Y5))) => 32.31/4.84 (Y2 @ 32.31/4.84 Y3 @ Y5)))))))))))) & 32.31/4.84 (((!!) @ (^[Y3 : a]: 32.31/4.84 ( 32.31/4.84 ( 32.31/4.84 (!!) @ ( 32.31/4.84 ^[Y4 : a]: 32.31/4.84 (( 32.31/4.84 ('#sk2' @ 32.31/4.84 Y3 @ 32.31/4.84 Y4) => 32.31/4.84 (Y2 @ 32.31/4.84 Y3 @ Y4))))))))))) => 32.31/4.84 (Y2 @ Y0 @ Y1)))))) | 32.31/4.84 (((!!) @ (^[Y2 : a > a > $o]: 32.31/4.84 (((((((!!) @ (^[Y3 : a]: 32.31/4.84 ( 32.31/4.84 ( 32.31/4.84 (!!) @ ( 32.31/4.84 ^[Y4 : a]: 32.31/4.84 (( 32.31/4.84 (!!) @ ( 32.31/4.84 ^[Y5 : a]: 32.31/4.84 (( 32.31/4.84 (( 32.31/4.84 (Y2 @ 32.31/4.84 Y3 @ 32.31/4.84 Y4) & 32.31/4.84 (Y2 @ 32.31/4.84 Y4 @ Y5))) => 32.31/4.84 (Y2 @ 32.31/4.84 Y3 @ Y5)))))))))))) & 32.31/4.84 (((!!) @ (^[Y3 : a]: 32.31/4.84 ( 32.31/4.84 ( 32.31/4.84 (!!) @ ( 32.31/4.84 ^[Y4 : a]: 32.31/4.84 (( 32.31/4.84 ('#sk1' @ 32.31/4.84 Y3 @ 32.31/4.84 Y4) => 32.31/4.84 (Y2 @ 32.31/4.84 Y3 @ Y4))))))))))) => 32.31/4.84 (Y2 @ Y0 @ Y1)))))))) => 32.31/4.84 (((!!) @ (^[Y2 : a > a > $o]: 32.31/4.84 (((((((!!) @ (^[Y3 : a]: 32.31/4.84 (((!!) @ ( 32.31/4.84 ^[Y4 : a]: 32.31/4.84 (( 32.31/4.84 (( 32.31/4.84 ('#sk1' @ 32.31/4.84 Y3 @ 32.31/4.84 Y4) | 32.31/4.84 ('#sk2' @ 32.31/4.84 Y3 @ Y4))) => 32.31/4.84 (Y2 @ 32.31/4.84 Y3 @ Y4))))))))) & 32.31/4.84 (((!!) @ (^[Y3 : a]: 32.31/4.84 (((!!) @ ( 32.31/4.84 ^[Y4 : a]: 32.31/4.84 (( 32.31/4.84 (!!) @ ( 32.31/4.84 ^[Y5 : a]: 32.31/4.84 (( 32.31/4.84 (( 32.31/4.84 (Y2 @ 32.31/4.84 Y4 @ 32.31/4.84 Y5) & 32.31/4.84 (Y2 @ 32.31/4.84 Y3 @ Y4))) => 32.31/4.84 (Y2 @ 32.31/4.84 Y3 @ Y5)))))))))))))) => 32.31/4.84 (Y2 @ Y0 @ Y1)))))))))))))))), 32.31/4.84 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl7])). 32.31/4.84 thf(zip_derived_cl10, plain, 32.31/4.84 (( (((((((!!) @ (^[Y0 : a]: 32.31/4.84 (((!!) @ (^[Y1 : a]: 32.31/4.84 ((((('#sk1' @ Y0 @ Y1) | ('#sk2' @ Y0 @ 32.31/4.84 Y1))) => 32.31/4.84 ('#sk5' @ Y0 @ Y1))))))))) & 32.31/4.84 (((!!) @ (^[Y0 : a]: 32.31/4.84 (((!!) @ (^[Y1 : a]: 32.31/4.84 (((!!) @ (^[Y2 : a]: 32.31/4.84 ((((('#sk5' @ Y1 @ Y2) & 32.31/4.84 ('#sk5' @ Y0 @ Y1))) => 32.31/4.84 ('#sk5' @ Y0 @ Y2)))))))))))))) => 32.31/4.84 ('#sk5' @ '#sk3' @ '#sk4'))) 32.31/4.84 | ~ (((!!) @ (^[Y0 : a]: 32.31/4.84 (((!!) @ (^[Y1 : a]: 32.31/4.84 (((!!) @ (^[Y2 : a]: 32.31/4.84 (((((((!!) @ (^[Y3 : a > a > $o]: 32.31/4.84 (((((((!!) @ ( 32.31/4.84 ^[Y4 : a]: 32.31/4.84 (( 32.31/4.84 (!!) @ ( 32.31/4.84 ^[Y5 : a]: 32.31/4.84 (( 32.31/4.84 (( 32.31/4.84 ('#sk2' @ 32.31/4.84 Y4 @ 32.31/4.84 Y5) | 32.31/4.84 ('#sk1' @ 32.31/4.84 Y4 @ Y5))) => 32.31/4.84 (Y3 @ 32.31/4.84 Y4 @ Y5))))))))) & 32.31/4.84 (((!!) @ ( 32.31/4.84 ^[Y4 : a]: 32.31/4.84 (( 32.31/4.84 (!!) @ ( 32.31/4.84 ^[Y5 : a]: 32.31/4.84 (( 32.31/4.84 (!!) @ ( 32.31/4.84 ^[Y6 : a]: 32.31/4.84 (( 32.31/4.84 (( 32.31/4.84 (Y3 @ 32.31/4.84 Y4 @ 32.31/4.84 Y5) & 32.31/4.84 (Y3 @ 32.31/4.84 Y5 @ Y6))) => 32.31/4.84 (Y3 @ 32.31/4.84 Y4 @ Y6)))))))))))))) => 32.31/4.84 (Y3 @ Y0 @ 32.31/4.84 Y1)))))) & 32.31/4.84 (((!!) @ (^[Y3 : a > a > $o]: 32.31/4.84 (((((((!!) @ ( 32.31/4.84 ^[Y4 : a]: 32.31/4.84 (( 32.31/4.84 (!!) @ ( 32.31/4.84 ^[Y5 : a]: 32.31/4.84 (( 32.31/4.84 (( 32.31/4.84 ('#sk2' @ 32.31/4.84 Y4 @ 32.31/4.84 Y5) | 32.31/4.84 ('#sk1' @ 32.31/4.84 Y4 @ Y5))) => 32.31/4.84 (Y3 @ 32.31/4.84 Y4 @ Y5))))))))) & 32.31/4.84 (((!!) @ ( 32.31/4.84 ^[Y4 : a]: 32.31/4.84 (( 32.31/4.84 (!!) @ ( 32.31/4.84 ^[Y5 : a]: 32.31/4.84 (( 32.31/4.84 (!!) @ ( 32.31/4.84 ^[Y6 : a]: 32.31/4.84 (( 32.31/4.84 (( 32.31/4.84 (Y3 @ 32.31/4.84 Y5 @ 32.31/4.84 Y6) & 32.31/4.84 (Y3 @ 32.31/4.84 Y4 @ Y5))) => 32.31/4.84 (Y3 @ 32.31/4.84 Y4 @ Y6)))))))))))))) => 32.31/4.84 (Y3 @ Y1 @ 32.31/4.84 Y2)))))))) => 32.31/4.84 (((!!) @ (^[Y3 : a > a > $o]: 32.31/4.84 (((((((!!) @ ( 32.31/4.84 ^[Y4 : a]: 32.31/4.84 ( 32.31/4.84 ( 32.31/4.84 (!!) @ ( 32.31/4.84 ^[Y5 : a]: 32.31/4.84 (( 32.31/4.84 (!!) @ ( 32.31/4.84 ^[Y6 : a]: 32.31/4.84 (( 32.31/4.84 (( 32.31/4.84 (Y3 @ 32.31/4.84 Y4 @ 32.31/4.84 Y5) & 32.31/4.84 (Y3 @ 32.31/4.84 Y5 @ Y6))) => 32.31/4.84 (Y3 @ 32.31/4.84 Y4 @ Y6)))))))))))) & 32.31/4.84 (((!!) @ ( 32.31/4.84 ^[Y4 : a]: 32.31/4.84 ( 32.31/4.84 ( 32.31/4.84 (!!) @ ( 32.31/4.84 ^[Y5 : a]: 32.31/4.84 (( 32.31/4.84 (( 32.31/4.84 ('#sk1' @ 32.31/4.84 Y4 @ 32.31/4.84 Y5) | 32.31/4.84 ('#sk2' @ 32.31/4.84 Y4 @ Y5))) => 32.31/4.84 (Y3 @ 32.31/4.84 Y4 @ Y5))))))))))) => 32.31/4.84 (Y3 @ Y0 @ Y2))))))))))))))))) 32.31/4.84 | ~ (((!!) @ (^[Y0 : a]: 32.31/4.84 (((!!) @ (^[Y1 : a]: 32.31/4.84 (((((((!!) @ (^[Y2 : a > a > $o]: 32.31/4.84 (((((((!!) @ (^[Y3 : a]: 32.31/4.84 (((!!) @ ( 32.31/4.84 ^[Y4 : a]: 32.31/4.84 (( 32.31/4.84 (!!) @ ( 32.31/4.84 ^[Y5 : a]: 32.31/4.84 (( 32.31/4.84 (( 32.31/4.84 (Y2 @ 32.31/4.84 Y3 @ 32.31/4.84 Y4) & 32.31/4.84 (Y2 @ 32.31/4.84 Y4 @ Y5))) => 32.31/4.84 (Y2 @ 32.31/4.84 Y3 @ Y5)))))))))))) & 32.31/4.84 (((!!) @ (^[Y3 : a]: 32.31/4.84 (((!!) @ ( 32.31/4.84 ^[Y4 : a]: 32.31/4.84 (( 32.31/4.84 ('#sk2' @ 32.31/4.84 Y3 @ 32.31/4.84 Y4) => 32.31/4.84 (Y2 @ 32.31/4.84 Y3 @ Y4))))))))))) => 32.31/4.84 (Y2 @ Y0 @ Y1)))))) | 32.31/4.84 (((!!) @ (^[Y2 : a > a > $o]: 32.31/4.84 (((((((!!) @ (^[Y3 : a]: 32.31/4.84 (((!!) @ ( 32.31/4.84 ^[Y4 : a]: 32.31/4.84 (( 32.31/4.84 (!!) @ ( 32.31/4.84 ^[Y5 : a]: 32.31/4.84 (( 32.31/4.84 (( 32.31/4.84 (Y2 @ 32.31/4.84 Y3 @ 32.31/4.84 Y4) & 32.31/4.84 (Y2 @ 32.31/4.84 Y4 @ Y5))) => 32.31/4.84 (Y2 @ 32.31/4.84 Y3 @ Y5)))))))))))) & 32.31/4.84 (((!!) @ (^[Y3 : a]: 32.31/4.84 (((!!) @ ( 32.31/4.84 ^[Y4 : a]: 32.31/4.84 (( 32.31/4.84 ('#sk1' @ 32.31/4.84 Y3 @ 32.31/4.84 Y4) => 32.31/4.84 (Y2 @ 32.31/4.84 Y3 @ Y4))))))))))) => 32.31/4.84 (Y2 @ Y0 @ Y1)))))))) => 32.31/4.84 (((!!) @ (^[Y2 : a > a > $o]: 32.31/4.84 (((((((!!) @ (^[Y3 : a]: 32.31/4.84 (((!!) @ ( 32.31/4.84 ^[Y4 : a]: 32.31/4.84 ( 32.31/4.84 ( 32.31/4.84 (( 32.31/4.84 ('#sk1' @ 32.31/4.84 Y3 @ 32.31/4.84 Y4) | 32.31/4.84 ('#sk2' @ 32.31/4.84 Y3 @ Y4))) => 32.31/4.84 (Y2 @ 32.31/4.84 Y3 @ Y4))))))))) & 32.31/4.84 (((!!) @ (^[Y3 : a]: 32.31/4.84 (((!!) @ ( 32.31/4.84 ^[Y4 : a]: 32.31/4.84 ( 32.31/4.84 ( 32.31/4.84 (!!) @ ( 32.31/4.84 ^[Y5 : a]: 32.31/4.84 (( 32.31/4.84 (( 32.31/4.84 (Y2 @ 32.31/4.84 Y4 @ 32.31/4.84 Y5) & 32.31/4.84 (Y2 @ 32.31/4.84 Y3 @ Y4))) => 32.31/4.84 (Y2 @ 32.31/4.84 Y3 @ Y5)))))))))))))) => 32.31/4.84 (Y2 @ Y0 @ Y1)))))))))))))))), 32.31/4.84 inference('triggered_bool_instantiation', [status(thm)], 32.31/4.84 [zip_derived_cl9])). 32.31/4.84 thf(zip_derived_cl6, plain, 32.31/4.84 (~ (((!!) @ (^[Y0 : a > a > $o]: 32.31/4.84 (((((((!!) @ (^[Y1 : a]: 32.31/4.84 (((!!) @ (^[Y2 : a]: 32.31/4.84 (((!!) @ (^[Y3 : a]: 32.31/4.84 (((((Y0 @ Y1 @ 32.31/4.84 Y2) & (Y0 @ 32.31/4.84 Y2 @ Y3))) => 32.31/4.84 (Y0 @ Y1 @ Y3)))))))))))) & 32.31/4.84 (((!!) @ (^[Y1 : a]: 32.31/4.84 (((!!) @ (^[Y2 : a]: 32.31/4.84 ((((('#sk2' @ Y1 @ Y2) | 32.31/4.84 ('#sk1' @ Y1 @ Y2))) => 32.31/4.84 (Y0 @ Y1 @ Y2))))))))))) => 32.31/4.84 (Y0 @ '#sk3' @ '#sk4'))))))), 32.31/4.84 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl4])). 32.31/4.84 thf(zip_derived_cl8, plain, 32.31/4.84 (~ (((((((!!) @ (^[Y0 : a]: 32.31/4.84 (((!!) @ (^[Y1 : a]: 32.31/4.84 (((!!) @ (^[Y2 : a]: 32.31/4.84 ((((('#sk5' @ Y0 @ Y1) & 32.31/4.84 ('#sk5' @ Y1 @ Y2))) => 32.31/4.84 ('#sk5' @ Y0 @ Y2)))))))))))) & 32.31/4.84 (((!!) @ (^[Y0 : a]: 32.31/4.84 (((!!) @ (^[Y1 : a]: 32.31/4.84 ((((('#sk2' @ Y0 @ Y1) | ('#sk1' @ Y0 @ 32.31/4.84 Y1))) => 32.31/4.84 ('#sk5' @ Y0 @ Y1))))))))))) => 32.31/4.84 ('#sk5' @ '#sk3' @ '#sk4')))), 32.31/4.84 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl6])). 32.31/4.84 thf(zip_derived_cl14, plain, (~ ('#sk5' @ '#sk3' @ '#sk4')), 32.31/4.84 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl8])). 32.31/4.84 thf(zip_derived_cl196, plain, 32.31/4.84 (( (((((((!!) @ (^[Y0 : a]: 32.31/4.84 (((!!) @ (^[Y1 : a]: 32.31/4.84 ((((('#sk1' @ Y0 @ Y1) | ('#sk2' @ Y0 @ 32.31/4.84 Y1))) => 32.31/4.84 ('#sk5' @ Y0 @ Y1))))))))) & 32.31/4.84 (((!!) @ (^[Y0 : a]: 32.31/4.84 (((!!) @ (^[Y1 : a]: 32.31/4.84 (((!!) @ (^[Y2 : a]: 32.31/4.84 ((((('#sk5' @ Y1 @ Y2) & 32.31/4.84 ('#sk5' @ Y0 @ Y1))) => 32.31/4.84 ('#sk5' @ Y0 @ Y2)))))))))))))) => 32.31/4.84 ($false))) 32.31/4.84 | ~ (((!!) @ (^[Y0 : a]: 32.31/4.84 (((!!) @ (^[Y1 : a]: 32.31/4.84 (((!!) @ (^[Y2 : a]: 32.31/4.84 (((((((!!) @ (^[Y3 : a > a > $o]: 32.31/4.84 (((((((!!) @ ( 32.31/4.84 ^[Y4 : a]: 32.31/4.84 (( 32.31/4.84 (!!) @ ( 32.31/4.84 ^[Y5 : a]: 32.31/4.84 (( 32.31/4.84 (( 32.31/4.84 ('#sk2' @ 32.31/4.84 Y4 @ 32.31/4.84 Y5) | 32.31/4.84 ('#sk1' @ 32.31/4.84 Y4 @ Y5))) => 32.31/4.84 (Y3 @ 32.31/4.84 Y4 @ Y5))))))))) & 32.31/4.84 (((!!) @ ( 32.31/4.84 ^[Y4 : a]: 32.31/4.84 (( 32.31/4.84 (!!) @ ( 32.31/4.84 ^[Y5 : a]: 32.31/4.84 (( 32.31/4.84 (!!) @ ( 32.31/4.84 ^[Y6 : a]: 32.31/4.84 (( 32.31/4.84 (( 32.31/4.84 (Y3 @ 32.31/4.84 Y4 @ 32.31/4.84 Y5) & 32.31/4.84 (Y3 @ 32.31/4.84 Y5 @ Y6))) => 32.31/4.84 (Y3 @ 32.31/4.84 Y4 @ Y6)))))))))))))) => 32.31/4.84 (Y3 @ Y0 @ 32.31/4.84 Y1)))))) & 32.31/4.84 (((!!) @ (^[Y3 : a > a > $o]: 32.31/4.84 (((((((!!) @ ( 32.31/4.84 ^[Y4 : a]: 32.31/4.84 (( 32.31/4.84 (!!) @ ( 32.31/4.84 ^[Y5 : a]: 32.31/4.84 (( 32.31/4.84 (( 32.31/4.84 ('#sk2' @ 32.31/4.84 Y4 @ 32.31/4.84 Y5) | 32.31/4.84 ('#sk1' @ 32.31/4.84 Y4 @ Y5))) => 32.31/4.84 (Y3 @ 32.31/4.84 Y4 @ Y5))))))))) & 32.31/4.84 (((!!) @ ( 32.31/4.84 ^[Y4 : a]: 32.31/4.84 (( 32.31/4.84 (!!) @ ( 32.31/4.84 ^[Y5 : a]: 32.31/4.84 (( 32.31/4.84 (!!) @ ( 32.31/4.84 ^[Y6 : a]: 32.31/4.84 (( 32.31/4.84 (( 32.31/4.84 (Y3 @ 32.31/4.84 Y5 @ 32.31/4.84 Y6) & 32.31/4.84 (Y3 @ 32.31/4.84 Y4 @ Y5))) => 32.31/4.84 (Y3 @ 32.31/4.84 Y4 @ Y6)))))))))))))) => 32.31/4.84 (Y3 @ Y1 @ 32.31/4.84 Y2)))))))) => 32.31/4.84 (((!!) @ (^[Y3 : a > a > $o]: 32.31/4.84 (((((((!!) @ ( 32.31/4.84 ^[Y4 : a]: 32.31/4.84 ( 32.31/4.84 ( 32.31/4.84 (!!) @ ( 32.31/4.84 ^[Y5 : a]: 32.31/4.84 (( 32.31/4.84 (!!) @ ( 32.31/4.84 ^[Y6 : a]: 32.31/4.84 (( 32.31/4.84 (( 32.31/4.84 (Y3 @ 32.31/4.84 Y4 @ 32.31/4.84 Y5) & 32.31/4.84 (Y3 @ 32.31/4.84 Y5 @ Y6))) => 32.31/4.84 (Y3 @ 32.31/4.84 Y4 @ Y6)))))))))))) & 32.31/4.84 (((!!) @ ( 32.31/4.84 ^[Y4 : a]: 32.31/4.84 ( 32.31/4.84 ( 32.31/4.84 (!!) @ ( 32.31/4.84 ^[Y5 : a]: 32.31/4.84 (( 32.31/4.84 (( 32.31/4.84 ('#sk1' @ 32.31/4.84 Y4 @ 32.31/4.84 Y5) | 32.31/4.84 ('#sk2' @ 32.31/4.84 Y4 @ Y5))) => 32.31/4.84 (Y3 @ 32.31/4.84 Y4 @ Y5))))))))))) => 32.31/4.84 (Y3 @ Y0 @ Y2))))))))))))))))) 32.31/4.84 | ~ (((!!) @ (^[Y0 : a]: 32.31/4.84 (((!!) @ (^[Y1 : a]: 32.31/4.84 (((((((!!) @ (^[Y2 : a > a > $o]: 32.31/4.84 (((((((!!) @ (^[Y3 : a]: 32.31/4.84 (((!!) @ ( 32.31/4.84 ^[Y4 : a]: 32.31/4.84 (( 32.31/4.84 (!!) @ ( 32.31/4.84 ^[Y5 : a]: 32.31/4.84 (( 32.31/4.84 (( 32.31/4.84 (Y2 @ 32.31/4.84 Y3 @ 32.31/4.84 Y4) & 32.31/4.84 (Y2 @ 32.31/4.84 Y4 @ Y5))) => 32.31/4.84 (Y2 @ 32.31/4.84 Y3 @ Y5)))))))))))) & 32.31/4.84 (((!!) @ (^[Y3 : a]: 32.31/4.84 (((!!) @ ( 32.31/4.84 ^[Y4 : a]: 32.31/4.84 (( 32.31/4.84 ('#sk2' @ 32.31/4.84 Y3 @ 32.31/4.84 Y4) => 32.31/4.84 (Y2 @ 32.31/4.84 Y3 @ Y4))))))))))) => 32.31/4.84 (Y2 @ Y0 @ Y1)))))) | 32.31/4.84 (((!!) @ (^[Y2 : a > a > $o]: 32.31/4.84 (((((((!!) @ (^[Y3 : a]: 32.31/4.84 (((!!) @ ( 32.31/4.84 ^[Y4 : a]: 32.31/4.84 (( 32.31/4.84 (!!) @ ( 32.31/4.84 ^[Y5 : a]: 32.31/4.84 (( 32.31/4.84 (( 32.31/4.84 (Y2 @ 32.31/4.84 Y3 @ 32.31/4.84 Y4) & 32.31/4.84 (Y2 @ 32.31/4.84 Y4 @ Y5))) => 32.31/4.84 (Y2 @ 32.31/4.84 Y3 @ Y5)))))))))))) & 32.31/4.84 (((!!) @ (^[Y3 : a]: 32.31/4.84 (((!!) @ ( 32.31/4.84 ^[Y4 : a]: 32.31/4.84 (( 32.31/4.84 ('#sk1' @ 32.31/4.84 Y3 @ 32.31/4.84 Y4) => 32.31/4.84 (Y2 @ 32.31/4.84 Y3 @ Y4))))))))))) => 32.31/4.84 (Y2 @ Y0 @ Y1)))))))) => 32.31/4.84 (((!!) @ (^[Y2 : a > a > $o]: 32.31/4.84 (((((((!!) @ (^[Y3 : a]: 32.31/4.84 (((!!) @ ( 32.31/4.84 ^[Y4 : a]: 32.31/4.84 ( 32.31/4.84 ( 32.31/4.84 (( 32.31/4.84 ('#sk1' @ 32.31/4.84 Y3 @ 32.31/4.84 Y4) | 32.31/4.84 ('#sk2' @ 32.31/4.84 Y3 @ Y4))) => 32.31/4.84 (Y2 @ 32.31/4.84 Y3 @ Y4))))))))) & 32.31/4.84 (((!!) @ (^[Y3 : a]: 32.31/4.84 (((!!) @ ( 32.31/4.84 ^[Y4 : a]: 32.31/4.84 ( 32.31/4.84 ( 32.31/4.84 (!!) @ ( 32.31/4.84 ^[Y5 : a]: 32.31/4.84 (( 32.31/4.84 (( 32.31/4.84 (Y2 @ 32.31/4.84 Y4 @ 32.31/4.84 Y5) & 32.31/4.84 (Y2 @ 32.31/4.84 Y3 @ Y4))) => 32.31/4.84 (Y2 @ 32.31/4.84 Y3 @ Y5)))))))))))))) => 32.31/4.84 (Y2 @ Y0 @ Y1)))))))))))))))), 32.31/4.84 inference('demod', [status(thm)], [zip_derived_cl10, zip_derived_cl14])). 32.31/4.84 thf(zip_derived_cl197, plain, 32.31/4.84 (( (((~) @ (((((!!) @ (^[Y0 : a]: 32.31/4.84 (((!!) @ (^[Y1 : a]: 32.31/4.84 ((((('#sk1' @ Y0 @ Y1) | ('#sk2' @ 32.31/4.84 Y0 @ Y1))) => 32.31/4.84 ('#sk5' @ Y0 @ Y1))))))))) & 32.31/4.84 (((!!) @ (^[Y0 : a]: 32.31/4.84 (((!!) @ (^[Y1 : a]: 32.31/4.84 (((!!) @ (^[Y2 : a]: 32.31/4.84 ((((('#sk5' @ Y1 @ Y2) & 32.31/4.84 ('#sk5' @ Y0 @ Y1))) => 32.31/4.84 ('#sk5' @ Y0 @ Y2)))))))))))))))) 32.31/4.84 | ~ (((!!) @ (^[Y0 : a]: 32.31/4.84 (((!!) @ (^[Y1 : a]: 32.31/4.84 (((!!) @ (^[Y2 : a]: 32.31/4.84 (((((((!!) @ (^[Y3 : a > a > $o]: 32.31/4.84 (((((((!!) @ ( 32.31/4.84 ^[Y4 : a]: 32.31/4.84 (( 32.31/4.84 (!!) @ ( 32.31/4.84 ^[Y5 : a]: 32.31/4.84 (( 32.31/4.84 (( 32.31/4.84 ('#sk2' @ 32.31/4.84 Y4 @ 32.31/4.84 Y5) | 32.31/4.84 ('#sk1' @ 32.31/4.84 Y4 @ Y5))) => 32.31/4.84 (Y3 @ 32.31/4.84 Y4 @ Y5))))))))) & 32.31/4.84 (((!!) @ ( 32.31/4.84 ^[Y4 : a]: 32.31/4.84 (( 32.31/4.84 (!!) @ ( 32.31/4.84 ^[Y5 : a]: 32.31/4.84 (( 32.31/4.84 (!!) @ ( 32.31/4.84 ^[Y6 : a]: 32.31/4.84 (( 32.31/4.84 (( 32.31/4.84 (Y3 @ 32.31/4.84 Y4 @ 32.31/4.84 Y5) & 32.31/4.84 (Y3 @ 32.31/4.84 Y5 @ Y6))) => 32.31/4.84 (Y3 @ 32.31/4.84 Y4 @ Y6)))))))))))))) => 32.31/4.84 (Y3 @ Y0 @ 32.31/4.84 Y1)))))) & 32.31/4.84 (((!!) @ (^[Y3 : a > a > $o]: 32.31/4.84 (((((((!!) @ ( 32.31/4.84 ^[Y4 : a]: 32.31/4.84 (( 32.31/4.84 (!!) @ ( 32.31/4.84 ^[Y5 : a]: 32.31/4.84 (( 32.31/4.84 (( 32.31/4.84 ('#sk2' @ 32.31/4.84 Y4 @ 32.31/4.84 Y5) | 32.31/4.84 ('#sk1' @ 32.31/4.84 Y4 @ Y5))) => 32.31/4.84 (Y3 @ 32.31/4.84 Y4 @ Y5))))))))) & 32.31/4.84 (((!!) @ ( 32.31/4.84 ^[Y4 : a]: 32.31/4.84 (( 32.31/4.84 (!!) @ ( 32.31/4.84 ^[Y5 : a]: 32.31/4.84 (( 32.31/4.84 (!!) @ ( 32.31/4.84 ^[Y6 : a]: 32.31/4.84 (( 32.31/4.84 (( 32.31/4.84 (Y3 @ 32.31/4.84 Y5 @ 32.31/4.84 Y6) & 32.31/4.84 (Y3 @ 32.31/4.84 Y4 @ Y5))) => 32.31/4.84 (Y3 @ 32.31/4.84 Y4 @ Y6)))))))))))))) => 32.31/4.84 (Y3 @ Y1 @ 32.31/4.84 Y2)))))))) => 32.31/4.84 (((!!) @ (^[Y3 : a > a > $o]: 32.31/4.84 (((((((!!) @ ( 32.31/4.84 ^[Y4 : a]: 32.31/4.84 ( 32.31/4.84 ( 32.31/4.84 (!!) @ ( 32.31/4.84 ^[Y5 : a]: 32.31/4.84 (( 32.31/4.84 (!!) @ ( 32.31/4.84 ^[Y6 : a]: 32.31/4.84 (( 32.31/4.84 (( 32.31/4.84 (Y3 @ 32.31/4.84 Y4 @ 32.31/4.84 Y5) & 32.31/4.84 (Y3 @ 32.31/4.84 Y5 @ Y6))) => 32.31/4.84 (Y3 @ 32.31/4.84 Y4 @ Y6)))))))))))) & 32.31/4.84 (((!!) @ ( 32.31/4.84 ^[Y4 : a]: 32.31/4.84 ( 32.31/4.84 ( 32.31/4.84 (!!) @ ( 32.31/4.84 ^[Y5 : a]: 32.31/4.84 (( 32.31/4.84 (( 32.31/4.84 ('#sk1' @ 32.31/4.84 Y4 @ 32.31/4.84 Y5) | 32.31/4.84 ('#sk2' @ 32.31/4.84 Y4 @ Y5))) => 32.31/4.84 (Y3 @ 32.31/4.84 Y4 @ Y5))))))))))) => 32.31/4.84 (Y3 @ Y0 @ Y2))))))))))))))))) 32.31/4.84 | ~ (((!!) @ (^[Y0 : a]: 32.31/4.84 (((!!) @ (^[Y1 : a]: 32.31/4.84 (((((((!!) @ (^[Y2 : a > a > $o]: 32.31/4.84 (((((((!!) @ (^[Y3 : a]: 32.31/4.84 (((!!) @ ( 32.31/4.84 ^[Y4 : a]: 32.31/4.84 (( 32.31/4.84 (!!) @ ( 32.31/4.84 ^[Y5 : a]: 32.31/4.84 (( 32.31/4.84 (( 32.31/4.84 (Y2 @ 32.31/4.84 Y3 @ 32.31/4.84 Y4) & 32.31/4.84 (Y2 @ 32.31/4.84 Y4 @ Y5))) => 32.31/4.84 (Y2 @ 32.31/4.84 Y3 @ Y5)))))))))))) & 32.31/4.84 (((!!) @ (^[Y3 : a]: 32.31/4.84 (((!!) @ ( 32.31/4.84 ^[Y4 : a]: 32.31/4.84 (( 32.31/4.84 ('#sk2' @ 32.31/4.84 Y3 @ 32.31/4.84 Y4) => 32.31/4.84 (Y2 @ 32.31/4.84 Y3 @ Y4))))))))))) => 32.31/4.84 (Y2 @ Y0 @ Y1)))))) | 32.31/4.84 (((!!) @ (^[Y2 : a > a > $o]: 32.31/4.84 (((((((!!) @ (^[Y3 : a]: 32.31/4.84 (((!!) @ ( 32.31/4.84 ^[Y4 : a]: 32.31/4.84 (( 32.31/4.84 (!!) @ ( 32.31/4.84 ^[Y5 : a]: 32.31/4.84 (( 32.31/4.84 (( 32.31/4.84 (Y2 @ 32.31/4.84 Y3 @ 32.31/4.84 Y4) & 32.31/4.84 (Y2 @ 32.31/4.84 Y4 @ Y5))) => 32.31/4.84 (Y2 @ 32.31/4.84 Y3 @ Y5)))))))))))) & 32.31/4.84 (((!!) @ (^[Y3 : a]: 32.31/4.84 (((!!) @ ( 32.31/4.84 ^[Y4 : a]: 32.31/4.84 (( 32.31/4.84 ('#sk1' @ 32.31/4.84 Y3 @ 32.31/4.84 Y4) => 32.31/4.84 (Y2 @ 32.31/4.84 Y3 @ Y4))))))))))) => 32.31/4.84 (Y2 @ Y0 @ Y1)))))))) => 32.31/4.84 (((!!) @ (^[Y2 : a > a > $o]: 32.31/4.84 (((((((!!) @ (^[Y3 : a]: 32.31/4.84 (((!!) @ ( 32.31/4.84 ^[Y4 : a]: 32.31/4.84 ( 32.31/4.84 ( 32.31/4.84 (( 32.31/4.84 ('#sk1' @ 32.31/4.84 Y3 @ 32.31/4.84 Y4) | 32.31/4.84 ('#sk2' @ 32.31/4.84 Y3 @ Y4))) => 32.31/4.84 (Y2 @ 32.31/4.84 Y3 @ Y4))))))))) & 32.31/4.84 (((!!) @ (^[Y3 : a]: 32.31/4.84 (((!!) @ ( 32.31/4.84 ^[Y4 : a]: 32.31/4.84 ( 32.31/4.84 ( 32.31/4.84 (!!) @ ( 32.31/4.84 ^[Y5 : a]: 32.31/4.84 (( 32.31/4.84 (( 32.31/4.84 (Y2 @ 32.31/4.84 Y4 @ 32.31/4.84 Y5) & 32.31/4.84 (Y2 @ 32.31/4.84 Y3 @ Y4))) => 32.31/4.84 (Y2 @ 32.31/4.84 Y3 @ Y5)))))))))))))) => 32.31/4.84 (Y2 @ Y0 @ Y1)))))))))))))))), 32.31/4.84 inference('simplify boolean subterms', [status(thm)], [zip_derived_cl196])). 32.31/4.84 thf(zip_derived_cl198, plain, 32.31/4.84 ((~ (((((!!) @ (^[Y0 : a]: 32.31/4.84 (((!!) @ (^[Y1 : a]: 32.31/4.84 ((((('#sk1' @ Y0 @ Y1) | ('#sk2' @ Y0 @ Y1))) => 32.31/4.84 ('#sk5' @ Y0 @ Y1))))))))) & 32.31/4.84 (((!!) @ (^[Y0 : a]: 32.31/4.84 (((!!) @ (^[Y1 : a]: 32.31/4.84 (((!!) @ (^[Y2 : a]: 32.31/4.84 ((((('#sk5' @ Y1 @ Y2) & 32.31/4.84 ('#sk5' @ Y0 @ Y1))) => 32.31/4.84 ('#sk5' @ Y0 @ Y2)))))))))))))) 32.31/4.84 | ~ (((!!) @ (^[Y0 : a]: 32.31/4.84 (((!!) @ (^[Y1 : a]: 32.31/4.84 (((!!) @ (^[Y2 : a]: 32.31/4.84 (((((((!!) @ (^[Y3 : a > a > $o]: 32.31/4.84 (((((((!!) @ ( 32.31/4.84 ^[Y4 : a]: 32.31/4.84 (( 32.31/4.84 (!!) @ ( 32.31/4.84 ^[Y5 : a]: 32.31/4.85 (( 32.31/4.85 (( 32.31/4.85 ('#sk2' @ 32.31/4.85 Y4 @ 32.31/4.85 Y5) | 32.31/4.85 ('#sk1' @ 32.31/4.85 Y4 @ Y5))) => 32.31/4.85 (Y3 @ 32.31/4.85 Y4 @ Y5))))))))) & 32.31/4.85 (((!!) @ ( 32.31/4.85 ^[Y4 : a]: 32.31/4.85 (( 32.31/4.85 (!!) @ ( 32.31/4.85 ^[Y5 : a]: 32.31/4.85 (( 32.31/4.85 (!!) @ ( 32.31/4.85 ^[Y6 : a]: 32.31/4.85 (( 32.31/4.85 (( 32.31/4.85 (Y3 @ 32.31/4.85 Y4 @ 32.31/4.85 Y5) & 32.31/4.85 (Y3 @ 32.31/4.85 Y5 @ Y6))) => 32.31/4.85 (Y3 @ 32.31/4.85 Y4 @ Y6)))))))))))))) => 32.31/4.85 (Y3 @ Y0 @ 32.31/4.85 Y1)))))) & 32.31/4.85 (((!!) @ (^[Y3 : a > a > $o]: 32.31/4.85 (((((((!!) @ ( 32.31/4.85 ^[Y4 : a]: 32.31/4.85 (( 32.31/4.85 (!!) @ ( 32.31/4.85 ^[Y5 : a]: 32.31/4.85 (( 32.31/4.85 (( 32.31/4.85 ('#sk2' @ 32.31/4.85 Y4 @ 32.31/4.85 Y5) | 32.31/4.85 ('#sk1' @ 32.31/4.85 Y4 @ Y5))) => 32.31/4.85 (Y3 @ 32.31/4.85 Y4 @ Y5))))))))) & 32.31/4.85 (((!!) @ ( 32.31/4.85 ^[Y4 : a]: 32.31/4.85 (( 32.31/4.85 (!!) @ ( 32.31/4.85 ^[Y5 : a]: 32.31/4.85 (( 32.31/4.85 (!!) @ ( 32.31/4.85 ^[Y6 : a]: 32.31/4.85 (( 32.31/4.85 (( 32.31/4.85 (Y3 @ 32.31/4.85 Y5 @ 32.31/4.85 Y6) & 32.31/4.85 (Y3 @ 32.31/4.85 Y4 @ Y5))) => 32.31/4.85 (Y3 @ 32.31/4.85 Y4 @ Y6)))))))))))))) => 32.31/4.85 (Y3 @ Y1 @ 32.31/4.85 Y2)))))))) => 32.31/4.85 (((!!) @ (^[Y3 : a > a > $o]: 32.31/4.85 (((((((!!) @ ( 32.31/4.85 ^[Y4 : a]: 32.31/4.85 ( 32.31/4.85 ( 32.31/4.85 (!!) @ ( 32.31/4.85 ^[Y5 : a]: 32.31/4.85 (( 32.31/4.85 (!!) @ ( 32.31/4.85 ^[Y6 : a]: 32.31/4.85 (( 32.31/4.85 (( 32.31/4.85 (Y3 @ 32.31/4.85 Y4 @ 32.31/4.85 Y5) & 32.31/4.85 (Y3 @ 32.31/4.85 Y5 @ Y6))) => 32.31/4.85 (Y3 @ 32.31/4.85 Y4 @ Y6)))))))))))) & 32.31/4.85 (((!!) @ ( 32.31/4.85 ^[Y4 : a]: 32.31/4.85 ( 32.31/4.85 ( 32.31/4.85 (!!) @ ( 32.31/4.85 ^[Y5 : a]: 32.31/4.85 (( 32.31/4.85 (( 32.31/4.85 ('#sk1' @ 32.31/4.85 Y4 @ 32.31/4.85 Y5) | 32.31/4.85 ('#sk2' @ 32.31/4.85 Y4 @ Y5))) => 32.31/4.85 (Y3 @ 32.31/4.85 Y4 @ Y5))))))))))) => 32.31/4.85 (Y3 @ Y0 @ Y2))))))))))))))))) 32.31/4.85 | ~ (((!!) @ (^[Y0 : a]: 32.31/4.85 (((!!) @ (^[Y1 : a]: 32.31/4.85 (((((((!!) @ (^[Y2 : a > a > $o]: 32.31/4.85 (((((((!!) @ (^[Y3 : a]: 32.31/4.85 (((!!) @ ( 32.31/4.85 ^[Y4 : a]: 32.31/4.85 (( 32.31/4.85 (!!) @ ( 32.31/4.85 ^[Y5 : a]: 32.31/4.85 (( 32.31/4.85 (( 32.31/4.85 (Y2 @ 32.31/4.85 Y3 @ 32.31/4.85 Y4) & 32.31/4.85 (Y2 @ 32.31/4.85 Y4 @ Y5))) => 32.31/4.85 (Y2 @ 32.31/4.85 Y3 @ Y5)))))))))))) & 32.31/4.85 (((!!) @ (^[Y3 : a]: 32.31/4.85 (((!!) @ ( 32.31/4.85 ^[Y4 : a]: 32.31/4.85 (( 32.31/4.85 ('#sk2' @ 32.31/4.85 Y3 @ 32.31/4.85 Y4) => 32.31/4.85 (Y2 @ 32.31/4.85 Y3 @ Y4))))))))))) => 32.31/4.85 (Y2 @ Y0 @ Y1)))))) | 32.31/4.85 (((!!) @ (^[Y2 : a > a > $o]: 32.31/4.85 (((((((!!) @ (^[Y3 : a]: 32.31/4.85 (((!!) @ ( 32.31/4.85 ^[Y4 : a]: 32.31/4.85 (( 32.31/4.85 (!!) @ ( 32.31/4.85 ^[Y5 : a]: 32.31/4.85 (( 32.31/4.85 (( 32.31/4.85 (Y2 @ 32.31/4.85 Y3 @ 32.31/4.85 Y4) & 32.31/4.85 (Y2 @ 32.31/4.85 Y4 @ Y5))) => 32.31/4.85 (Y2 @ 32.31/4.85 Y3 @ Y5)))))))))))) & 32.31/4.85 (((!!) @ (^[Y3 : a]: 32.31/4.85 (((!!) @ ( 32.31/4.85 ^[Y4 : a]: 32.31/4.85 (( 32.31/4.85 ('#sk1' @ 32.31/4.85 Y3 @ 32.31/4.85 Y4) => 32.31/4.85 (Y2 @ 32.31/4.85 Y3 @ Y4))))))))))) => 32.31/4.85 (Y2 @ Y0 @ Y1)))))))) => 32.31/4.85 (((!!) @ (^[Y2 : a > a > $o]: 32.31/4.85 (((((((!!) @ (^[Y3 : a]: 32.31/4.85 (((!!) @ ( 32.31/4.85 ^[Y4 : a]: 32.31/4.85 ( 32.31/4.85 ( 32.31/4.85 (( 32.31/4.85 ('#sk1' @ 32.31/4.85 Y3 @ 32.31/4.85 Y4) | 32.31/4.85 ('#sk2' @ 32.31/4.85 Y3 @ Y4))) => 32.31/4.85 (Y2 @ 32.31/4.85 Y3 @ Y4))))))))) & 32.31/4.85 (((!!) @ (^[Y3 : a]: 32.31/4.85 (((!!) @ ( 32.31/4.85 ^[Y4 : a]: 32.31/4.85 ( 32.31/4.85 ( 32.31/4.85 (!!) @ ( 32.31/4.85 ^[Y5 : a]: 32.31/4.85 (( 32.31/4.85 (( 32.31/4.85 (Y2 @ 32.31/4.85 Y4 @ 32.31/4.85 Y5) & 32.31/4.85 (Y2 @ 32.31/4.85 Y3 @ Y4))) => 32.31/4.85 (Y2 @ 32.31/4.85 Y3 @ Y5)))))))))))))) => 32.31/4.85 (Y2 @ Y0 @ Y1)))))))))))))))), 32.31/4.85 inference('simplify nested equalities', [status(thm)], 32.31/4.85 [zip_derived_cl197])). 32.31/4.85 thf(zip_derived_cl15, plain, 32.31/4.85 (( ('#form14') 32.31/4.85 | ~ (((!!) @ (^[Y0 : a]: 32.31/4.85 (((!!) @ (^[Y1 : a]: 32.31/4.85 (((!!) @ (^[Y2 : a]: 32.31/4.85 (((((((!!) @ (^[Y3 : a > a > $o]: 32.31/4.85 (((((((!!) @ ( 32.31/4.85 ^[Y4 : a]: 32.31/4.85 (( 32.31/4.85 (!!) @ ( 32.31/4.85 ^[Y5 : a]: 32.31/4.85 (( 32.31/4.85 (( 32.31/4.85 ('#sk2' @ 32.31/4.85 Y4 @ 32.31/4.85 Y5) | 32.31/4.85 ('#sk1' @ 32.31/4.85 Y4 @ Y5))) => 32.31/4.85 (Y3 @ 32.31/4.85 Y4 @ Y5))))))))) & 32.31/4.85 (((!!) @ ( 32.31/4.85 ^[Y4 : a]: 32.31/4.85 (( 32.31/4.85 (!!) @ ( 32.31/4.85 ^[Y5 : a]: 32.31/4.85 (( 32.31/4.85 (!!) @ ( 32.31/4.85 ^[Y6 : a]: 32.31/4.85 (( 32.31/4.85 (( 32.31/4.85 (Y3 @ 32.31/4.85 Y4 @ 32.31/4.85 Y5) & 32.31/4.85 (Y3 @ 32.31/4.85 Y5 @ Y6))) => 32.31/4.85 (Y3 @ 32.31/4.85 Y4 @ Y6)))))))))))))) => 32.31/4.85 (Y3 @ Y0 @ 32.31/4.85 Y1)))))) & 32.31/4.85 (((!!) @ (^[Y3 : a > a > $o]: 32.31/4.85 (((((((!!) @ ( 32.31/4.85 ^[Y4 : a]: 32.31/4.85 (( 32.31/4.85 (!!) @ ( 32.31/4.85 ^[Y5 : a]: 32.31/4.85 (( 32.31/4.85 (( 32.31/4.85 ('#sk2' @ 32.31/4.85 Y4 @ 32.31/4.85 Y5) | 32.31/4.85 ('#sk1' @ 32.31/4.85 Y4 @ Y5))) => 32.31/4.85 (Y3 @ 32.31/4.85 Y4 @ Y5))))))))) & 32.31/4.85 (((!!) @ ( 32.31/4.85 ^[Y4 : a]: 32.31/4.85 (( 32.31/4.85 (!!) @ ( 32.31/4.85 ^[Y5 : a]: 32.31/4.85 (( 32.31/4.85 (!!) @ ( 32.31/4.85 ^[Y6 : a]: 32.31/4.85 (( 32.31/4.85 (( 32.31/4.85 (Y3 @ 32.31/4.85 Y5 @ 32.31/4.85 Y6) & 32.31/4.85 (Y3 @ 32.31/4.85 Y4 @ Y5))) => 32.31/4.85 (Y3 @ 32.31/4.85 Y4 @ Y6)))))))))))))) => 32.31/4.85 (Y3 @ Y1 @ 32.31/4.85 Y2)))))))) => 32.31/4.85 (((!!) @ (^[Y3 : a > a > $o]: 32.31/4.85 (((((((!!) @ ( 32.31/4.85 ^[Y4 : a]: 32.31/4.85 ( 32.31/4.85 ( 32.31/4.85 (!!) @ ( 32.31/4.85 ^[Y5 : a]: 32.31/4.85 (( 32.31/4.85 (!!) @ ( 32.31/4.85 ^[Y6 : a]: 32.31/4.85 (( 32.31/4.85 (( 32.31/4.85 (Y3 @ 32.31/4.85 Y4 @ 32.31/4.85 Y5) & 32.31/4.85 (Y3 @ 32.31/4.85 Y5 @ Y6))) => 32.31/4.85 (Y3 @ 32.31/4.85 Y4 @ Y6)))))))))))) & 32.31/4.85 (((!!) @ ( 32.31/4.85 ^[Y4 : a]: 32.31/4.85 ( 32.31/4.85 ( 32.31/4.85 (!!) @ ( 32.31/4.85 ^[Y5 : a]: 32.31/4.85 (( 32.31/4.85 (( 32.31/4.85 ('#sk1' @ 32.31/4.85 Y4 @ 32.31/4.85 Y5) | 32.31/4.85 ('#sk2' @ 32.31/4.85 Y4 @ Y5))) => 32.31/4.85 (Y3 @ 32.31/4.85 Y4 @ Y5))))))))))) => 32.31/4.85 (Y3 @ Y0 @ Y2))))))))))))))))))), 32.31/4.85 define([status(thm)])). 32.31/4.85 thf(zip_derived_cl199, plain, 32.31/4.85 ((~ ('#form14') 32.31/4.85 | ~ (((!!) @ (^[Y0 : a]: 32.31/4.85 (((!!) @ (^[Y1 : a]: 32.31/4.85 (((((((!!) @ (^[Y2 : a > a > $o]: 32.31/4.85 (((((((!!) @ (^[Y3 : a]: 32.31/4.85 (((!!) @ ( 32.31/4.85 ^[Y4 : a]: 32.31/4.85 (( 32.31/4.85 (!!) @ ( 32.31/4.85 ^[Y5 : a]: 32.31/4.85 (( 32.31/4.85 (( 32.31/4.85 (Y2 @ 32.31/4.85 Y3 @ 32.31/4.85 Y4) & 32.31/4.85 (Y2 @ 32.31/4.85 Y4 @ Y5))) => 32.31/4.85 (Y2 @ 32.31/4.85 Y3 @ Y5)))))))))))) & 32.31/4.85 (((!!) @ (^[Y3 : a]: 32.31/4.85 (((!!) @ ( 32.31/4.85 ^[Y4 : a]: 32.31/4.85 (( 32.31/4.85 ('#sk2' @ 32.31/4.85 Y3 @ 32.31/4.85 Y4) => 32.31/4.85 (Y2 @ 32.31/4.85 Y3 @ Y4))))))))))) => 32.31/4.85 (Y2 @ Y0 @ Y1)))))) | 32.31/4.85 (((!!) @ (^[Y2 : a > a > $o]: 32.31/4.85 (((((((!!) @ (^[Y3 : a]: 32.31/4.85 (((!!) @ ( 32.31/4.85 ^[Y4 : a]: 32.31/4.85 (( 32.31/4.85 (!!) @ ( 32.31/4.85 ^[Y5 : a]: 32.31/4.85 (( 32.31/4.85 (( 32.31/4.85 (Y2 @ 32.31/4.85 Y3 @ 32.31/4.85 Y4) & 32.31/4.85 (Y2 @ 32.31/4.85 Y4 @ Y5))) => 32.31/4.85 (Y2 @ 32.31/4.85 Y3 @ Y5)))))))))))) & 32.31/4.85 (((!!) @ (^[Y3 : a]: 32.31/4.85 (((!!) @ ( 32.31/4.85 ^[Y4 : a]: 32.31/4.85 (( 32.31/4.85 ('#sk1' @ 32.31/4.85 Y3 @ 32.31/4.85 Y4) => 32.31/4.85 (Y2 @ 32.31/4.85 Y3 @ Y4))))))))))) => 32.31/4.85 (Y2 @ Y0 @ Y1)))))))) => 32.31/4.85 (((!!) @ (^[Y2 : a > a > $o]: 32.31/4.85 (((((((!!) @ (^[Y3 : a]: 32.31/4.85 (((!!) @ ( 32.31/4.85 ^[Y4 : a]: 32.31/4.85 ( 32.31/4.85 ( 32.31/4.85 (( 32.31/4.85 ('#sk1' @ 32.31/4.85 Y3 @ 32.31/4.85 Y4) | 32.31/4.85 ('#sk2' @ 32.31/4.85 Y3 @ Y4))) => 32.31/4.85 (Y2 @ 32.31/4.85 Y3 @ Y4))))))))) & 32.31/4.85 (((!!) @ (^[Y3 : a]: 32.31/4.85 (((!!) @ ( 32.31/4.85 ^[Y4 : a]: 32.31/4.85 ( 32.31/4.85 ( 32.31/4.85 (!!) @ ( 32.31/4.85 ^[Y5 : a]: 32.31/4.85 (( 32.31/4.85 (( 32.31/4.85 (Y2 @ 32.31/4.85 Y4 @ 32.31/4.85 Y5) & 32.31/4.85 (Y2 @ 32.31/4.85 Y3 @ Y4))) => 32.31/4.85 (Y2 @ 32.31/4.85 Y3 @ Y5)))))))))))))) => 32.31/4.85 (Y2 @ Y0 @ Y1)))))))))))))) 32.31/4.85 | ~ (((((!!) @ (^[Y0 : a]: 32.31/4.85 (((!!) @ (^[Y1 : a]: 32.31/4.85 ((((('#sk1' @ Y0 @ Y1) | ('#sk2' @ Y0 @ 32.31/4.85 Y1))) => 32.31/4.85 ('#sk5' @ Y0 @ Y1))))))))) & 32.31/4.85 (((!!) @ (^[Y0 : a]: 32.31/4.85 (((!!) @ (^[Y1 : a]: 32.31/4.85 (((!!) @ (^[Y2 : a]: 32.31/4.85 ((((('#sk5' @ Y1 @ Y2) & 32.31/4.85 ('#sk5' @ Y0 @ Y1))) => 32.31/4.85 ('#sk5' @ Y0 @ Y2)))))))))))))))), 32.31/4.85 inference('renaming', [status(thm)], 32.31/4.85 [zip_derived_cl198, zip_derived_cl15])). 32.31/4.85 thf(zip_derived_cl20, plain, 32.31/4.85 (( ('#form24') 32.31/4.85 | ~ (((!!) @ (^[Y0 : a]: 32.31/4.85 (((!!) @ (^[Y1 : a]: 32.31/4.85 (((((((!!) @ (^[Y2 : a > a > $o]: 32.31/4.85 (((((((!!) @ (^[Y3 : a]: 32.31/4.85 (((!!) @ ( 32.31/4.85 ^[Y4 : a]: 32.31/4.85 (( 32.31/4.85 (!!) @ ( 32.31/4.85 ^[Y5 : a]: 32.31/4.85 (( 32.31/4.85 (( 32.31/4.85 (Y2 @ 32.31/4.85 Y3 @ 32.31/4.85 Y4) & 32.31/4.85 (Y2 @ 32.31/4.85 Y4 @ Y5))) => 32.31/4.85 (Y2 @ 32.31/4.85 Y3 @ Y5)))))))))))) & 32.31/4.85 (((!!) @ (^[Y3 : a]: 32.31/4.85 (((!!) @ ( 32.31/4.85 ^[Y4 : a]: 32.31/4.85 (( 32.31/4.85 ('#sk2' @ 32.31/4.85 Y3 @ 32.31/4.85 Y4) => 32.31/4.85 (Y2 @ 32.31/4.85 Y3 @ Y4))))))))))) => 32.31/4.85 (Y2 @ Y0 @ Y1)))))) | 32.31/4.85 (((!!) @ (^[Y2 : a > a > $o]: 32.31/4.85 (((((((!!) @ (^[Y3 : a]: 32.31/4.85 (((!!) @ ( 32.31/4.85 ^[Y4 : a]: 32.31/4.85 (( 32.31/4.85 (!!) @ ( 32.31/4.85 ^[Y5 : a]: 32.31/4.85 (( 32.31/4.85 (( 32.31/4.85 (Y2 @ 32.31/4.85 Y3 @ 32.31/4.85 Y4) & 32.31/4.85 (Y2 @ 32.31/4.85 Y4 @ Y5))) => 32.31/4.85 (Y2 @ 32.31/4.85 Y3 @ Y5)))))))))))) & 32.31/4.85 (((!!) @ (^[Y3 : a]: 32.31/4.85 (((!!) @ ( 32.31/4.85 ^[Y4 : a]: 32.31/4.85 (( 32.31/4.85 ('#sk1' @ 32.31/4.85 Y3 @ 32.31/4.85 Y4) => 32.31/4.85 (Y2 @ 32.31/4.85 Y3 @ Y4))))))))))) => 32.31/4.85 (Y2 @ Y0 @ Y1)))))))) => 32.31/4.85 (((!!) @ (^[Y2 : a > a > $o]: 32.31/4.85 (((((((!!) @ (^[Y3 : a]: 32.31/4.85 (((!!) @ ( 32.31/4.85 ^[Y4 : a]: 32.31/4.85 ( 32.31/4.85 ( 32.31/4.85 (( 32.31/4.85 ('#sk1' @ 32.31/4.85 Y3 @ 32.31/4.85 Y4) | 32.31/4.85 ('#sk2' @ 32.31/4.85 Y3 @ Y4))) => 32.31/4.85 (Y2 @ 32.31/4.85 Y3 @ Y4))))))))) & 32.31/4.85 (((!!) @ (^[Y3 : a]: 32.31/4.85 (((!!) @ ( 32.31/4.85 ^[Y4 : a]: 32.31/4.85 ( 32.31/4.85 ( 32.31/4.85 (!!) @ ( 32.31/4.85 ^[Y5 : a]: 32.31/4.85 (( 32.31/4.85 (( 32.31/4.85 (Y2 @ 32.31/4.85 Y4 @ 32.31/4.85 Y5) & 32.31/4.85 (Y2 @ 32.31/4.85 Y3 @ Y4))) => 32.31/4.85 (Y2 @ 32.31/4.85 Y3 @ Y5)))))))))))))) => 32.31/4.85 (Y2 @ Y0 @ Y1)))))))))))))))), 32.31/4.85 define([status(thm)])). 32.31/4.85 thf(zip_derived_cl200, plain, 32.31/4.85 ((~ ('#form24') 32.31/4.85 | ~ (((((!!) @ (^[Y0 : a]: 32.31/4.85 (((!!) @ (^[Y1 : a]: 32.31/4.85 ((((('#sk1' @ Y0 @ Y1) | ('#sk2' @ Y0 @ 32.31/4.85 Y1))) => 32.31/4.85 ('#sk5' @ Y0 @ Y1))))))))) & 32.31/4.85 (((!!) @ (^[Y0 : a]: 32.31/4.85 (((!!) @ (^[Y1 : a]: 32.31/4.85 (((!!) @ (^[Y2 : a]: 32.31/4.85 ((((('#sk5' @ Y1 @ Y2) & 32.31/4.85 ('#sk5' @ Y0 @ Y1))) => 32.31/4.85 ('#sk5' @ Y0 @ Y2)))))))))))))) 32.31/4.85 | ~ ('#form14'))), 32.31/4.85 inference('renaming', [status(thm)], 32.31/4.85 [zip_derived_cl199, zip_derived_cl20])). 32.31/4.85 thf(zip_derived_cl201, plain, 32.31/4.85 ((~ (((!!) @ (^[Y0 : a]: 32.31/4.85 (((!!) @ (^[Y1 : a]: 32.31/4.85 ((((('#sk1' @ Y0 @ Y1) | ('#sk2' @ Y0 @ Y1))) => 32.31/4.85 ('#sk5' @ Y0 @ Y1))))))))) 32.31/4.85 | ~ (((!!) @ (^[Y0 : a]: 32.31/4.85 (((!!) @ (^[Y1 : a]: 32.31/4.85 (((!!) @ (^[Y2 : a]: 32.31/4.85 ((((('#sk5' @ Y1 @ Y2) & 32.31/4.85 ('#sk5' @ Y0 @ Y1))) => 32.31/4.85 ('#sk5' @ Y0 @ Y2)))))))))))) 32.31/4.85 | ~ ('#form14') 32.31/4.85 | ~ ('#form24'))), 32.31/4.85 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl200])). 32.31/4.85 thf(zip_derived_cl202, plain, 32.31/4.85 ((~ (((!!) @ (^[Y0 : a]: 32.31/4.85 ((((('#sk1' @ ('#sk53' @ '#sk5') @ Y0) | ('#sk2' @ 32.31/4.85 ('#sk53' @ '#sk5') @ Y0))) => 32.31/4.85 ('#sk5' @ ('#sk53' @ '#sk5') @ Y0)))))) 32.31/4.85 | ~ ('#form24') 32.31/4.85 | ~ ('#form14') 32.31/4.85 | ~ (((!!) @ (^[Y0 : a]: 32.31/4.85 (((!!) @ (^[Y1 : a]: 32.31/4.85 (((!!) @ (^[Y2 : a]: 32.31/4.85 ((((('#sk5' @ Y1 @ Y2) & 32.31/4.85 ('#sk5' @ Y0 @ Y1))) => 32.31/4.85 ('#sk5' @ Y0 @ Y2)))))))))))))), 32.31/4.85 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl201])). 32.31/4.85 thf(zip_derived_cl203, plain, 32.31/4.85 ((~ ((((('#sk1' @ ('#sk53' @ '#sk5') @ ('#sk69' @ '#sk5')) | ('#sk2' @ 32.31/4.85 ('#sk53' @ '#sk5') @ ('#sk69' @ '#sk5')))) => 32.31/4.85 ('#sk5' @ ('#sk53' @ '#sk5') @ ('#sk69' @ '#sk5')))) 32.31/4.85 | ~ (((!!) @ (^[Y0 : a]: 32.31/4.85 (((!!) @ (^[Y1 : a]: 32.31/4.85 (((!!) @ (^[Y2 : a]: 32.31/4.85 ((((('#sk5' @ Y1 @ Y2) & 32.31/4.85 ('#sk5' @ Y0 @ Y1))) => 32.31/4.85 ('#sk5' @ Y0 @ Y2)))))))))))) 32.31/4.85 | ~ ('#form14') 32.31/4.85 | ~ ('#form24'))), 32.31/4.85 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl202])). 32.31/4.85 thf(zip_derived_cl204, plain, 32.31/4.85 (( ((('#sk1' @ ('#sk53' @ '#sk5') @ ('#sk69' @ '#sk5')) | ('#sk2' @ 32.31/4.85 ('#sk53' @ '#sk5') @ ('#sk69' @ '#sk5')))) 32.31/4.85 | ~ ('#form24') 32.31/4.85 | ~ ('#form14') 32.31/4.85 | ~ (((!!) @ (^[Y0 : a]: 32.31/4.85 (((!!) @ (^[Y1 : a]: 32.31/4.85 (((!!) @ (^[Y2 : a]: 32.31/4.85 ((((('#sk5' @ Y1 @ Y2) & 32.31/4.85 ('#sk5' @ Y0 @ Y1))) => 32.31/4.85 ('#sk5' @ Y0 @ Y2)))))))))))))), 32.31/4.85 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl203])). 32.31/4.85 thf(zip_derived_cl206, plain, 32.31/4.85 (( ('#sk1' @ ('#sk53' @ '#sk5') @ ('#sk69' @ '#sk5')) 32.31/4.85 | ('#sk2' @ ('#sk53' @ '#sk5') @ ('#sk69' @ '#sk5')) 32.31/4.85 | ~ (((!!) @ (^[Y0 : a]: 32.31/4.85 (((!!) @ (^[Y1 : a]: 32.31/4.85 (((!!) @ (^[Y2 : a]: 32.31/4.85 ((((('#sk5' @ Y1 @ Y2) & 32.31/4.85 ('#sk5' @ Y0 @ Y1))) => 32.31/4.85 ('#sk5' @ Y0 @ Y2)))))))))))) 32.31/4.85 | ~ ('#form14') 32.31/4.85 | ~ ('#form24'))), 32.31/4.85 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl204])). 32.31/4.85 thf(zip_derived_cl208, plain, 32.31/4.85 ((~ (((!!) @ (^[Y0 : a]: 32.31/4.85 (((!!) @ (^[Y1 : a]: 32.31/4.85 ((((('#sk5' @ Y0 @ Y1) & ('#sk5' @ 32.31/4.85 ('#sk137' @ '#sk5') @ Y0))) => 32.31/4.85 ('#sk5' @ ('#sk137' @ '#sk5') @ Y1))))))))) 32.31/4.85 | ~ ('#form24') 32.31/4.85 | ~ ('#form14') 32.31/4.85 | ('#sk2' @ ('#sk53' @ '#sk5') @ ('#sk69' @ '#sk5')) 32.31/4.85 | ('#sk1' @ ('#sk53' @ '#sk5') @ ('#sk69' @ '#sk5')))), 32.31/4.85 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl206])). 32.31/4.85 thf(zip_derived_cl210, plain, 32.31/4.85 ((~ (((!!) @ (^[Y0 : a]: 32.31/4.85 ((((('#sk5' @ ('#sk196' @ '#sk5') @ Y0) & ('#sk5' @ 32.31/4.85 ('#sk137' @ '#sk5') @ ('#sk196' @ '#sk5')))) => 32.31/4.85 ('#sk5' @ ('#sk137' @ '#sk5') @ Y0)))))) 32.31/4.85 | ('#sk1' @ ('#sk53' @ '#sk5') @ ('#sk69' @ '#sk5')) 32.31/4.85 | ('#sk2' @ ('#sk53' @ '#sk5') @ ('#sk69' @ '#sk5')) 32.31/4.85 | ~ ('#form14') 32.31/4.85 | ~ ('#form24'))), 32.31/4.85 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl208])). 32.31/4.85 thf(zip_derived_cl212, plain, 32.31/4.85 ((~ ((((('#sk5' @ ('#sk196' @ '#sk5') @ ('#sk262' @ '#sk5')) & ('#sk5' @ 32.31/4.85 ('#sk137' @ '#sk5') @ ('#sk196' @ '#sk5')))) => 32.31/4.85 ('#sk5' @ ('#sk137' @ '#sk5') @ ('#sk262' @ '#sk5')))) 32.31/4.85 | ~ ('#form24') 32.31/4.85 | ~ ('#form14') 32.31/4.85 | ('#sk2' @ ('#sk53' @ '#sk5') @ ('#sk69' @ '#sk5')) 32.31/4.85 | ('#sk1' @ ('#sk53' @ '#sk5') @ ('#sk69' @ '#sk5')))), 32.31/4.85 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl210])). 32.31/4.85 thf(zip_derived_cl215, plain, 32.31/4.85 (( ((('#sk5' @ ('#sk196' @ '#sk5') @ ('#sk262' @ '#sk5')) & ('#sk5' @ 32.31/4.85 ('#sk137' @ '#sk5') @ ('#sk196' @ '#sk5')))) 32.31/4.85 | ('#sk1' @ ('#sk53' @ '#sk5') @ ('#sk69' @ '#sk5')) 32.31/4.85 | ('#sk2' @ ('#sk53' @ '#sk5') @ ('#sk69' @ '#sk5')) 32.31/4.85 | ~ ('#form14') 32.31/4.85 | ~ ('#form24'))), 32.31/4.85 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl212])). 32.31/4.85 thf(zip_derived_cl220, plain, 32.31/4.85 (( ('#sk5' @ ('#sk137' @ '#sk5') @ ('#sk196' @ '#sk5')) 32.31/4.85 | ~ ('#form24') 32.31/4.85 | ~ ('#form14') 32.31/4.85 | ('#sk2' @ ('#sk53' @ '#sk5') @ ('#sk69' @ '#sk5')) 32.31/4.85 | ('#sk1' @ ('#sk53' @ '#sk5') @ ('#sk69' @ '#sk5')))), 32.31/4.85 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl215])). 32.31/4.85 thf(zip_derived_cl216, plain, 32.31/4.85 ((~ ('#sk5' @ ('#sk137' @ '#sk5') @ ('#sk262' @ '#sk5')) 32.31/4.85 | ('#sk1' @ ('#sk53' @ '#sk5') @ ('#sk69' @ '#sk5')) 32.31/4.85 | ('#sk2' @ ('#sk53' @ '#sk5') @ ('#sk69' @ '#sk5')) 32.31/4.85 | ~ ('#form14') 32.31/4.85 | ~ ('#form24'))), 32.31/4.85 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl212])). 32.31/4.85 thf(zip_derived_cl33, plain, 32.31/4.85 ((~ (((!!) @ (^[Y0 : a > a > $o]: 32.31/4.85 (((((((!!) @ (^[Y1 : a]: 32.31/4.85 (((!!) @ (^[Y2 : a]: 32.31/4.85 ((((('#sk1' @ Y1 @ Y2) | 32.31/4.85 ('#sk2' @ Y1 @ Y2))) => 32.31/4.85 (Y0 @ Y1 @ Y2))))))))) & 32.31/4.85 (((!!) @ (^[Y1 : a]: 32.31/4.85 (((!!) @ (^[Y2 : a]: 32.31/4.85 (((!!) @ (^[Y3 : a]: 32.31/4.85 (((((Y0 @ Y2 @ 32.31/4.85 Y3) & (Y0 @ 32.31/4.85 Y1 @ Y2))) => 32.31/4.85 (Y0 @ Y1 @ Y3)))))))))))))) => 32.31/4.85 (Y0 @ '#sk25' @ '#sk35')))))) 32.31/4.85 | ('#form24'))), 32.31/4.85 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl27])). 32.31/4.85 thf(zip_derived_cl41, plain, 32.31/4.85 ((~ (((((((!!) @ (^[Y0 : a]: 32.31/4.85 (((!!) @ (^[Y1 : a]: 32.31/4.85 ((((('#sk1' @ Y0 @ Y1) | ('#sk2' @ Y0 @ 32.31/4.85 Y1))) => 32.31/4.85 ('#sk54' @ Y0 @ Y1))))))))) & 32.31/4.85 (((!!) @ (^[Y0 : a]: 32.31/4.85 (((!!) @ (^[Y1 : a]: 32.31/4.85 (((!!) @ (^[Y2 : a]: 32.31/4.85 ((((('#sk54' @ Y1 @ Y2) & 32.31/4.85 ('#sk54' @ Y0 @ Y1))) => 32.31/4.85 ('#sk54' @ Y0 @ Y2)))))))))))))) => 32.31/4.85 ('#sk54' @ '#sk25' @ '#sk35'))) 32.31/4.85 | ('#form24'))), 32.31/4.85 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl33])). 32.31/4.85 thf(zip_derived_cl57, plain, 32.31/4.85 ((~ ('#sk54' @ '#sk25' @ '#sk35') | ('#form24'))), 32.31/4.85 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl41])). 32.31/4.85 thf(zip_derived_cl56, plain, 32.31/4.85 (( (((((!!) @ (^[Y0 : a]: 32.31/4.85 (((!!) @ (^[Y1 : a]: 32.31/4.85 ((((('#sk1' @ Y0 @ Y1) | ('#sk2' @ Y0 @ Y1))) => 32.31/4.85 ('#sk54' @ Y0 @ Y1))))))))) & 32.31/4.85 (((!!) @ (^[Y0 : a]: 32.31/4.85 (((!!) @ (^[Y1 : a]: 32.31/4.85 (((!!) @ (^[Y2 : a]: 32.31/4.85 ((((('#sk54' @ Y1 @ Y2) & 32.31/4.85 ('#sk54' @ Y0 @ Y1))) => 32.31/4.85 ('#sk54' @ Y0 @ Y2)))))))))))))) 32.31/4.85 | ('#form24'))), 32.31/4.85 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl41])). 32.31/4.85 thf(zip_derived_cl83, plain, 32.31/4.85 (( (((!!) @ (^[Y0 : a]: 32.31/4.85 (((!!) @ (^[Y1 : a]: 32.31/4.85 ((((('#sk1' @ Y0 @ Y1) | ('#sk2' @ Y0 @ Y1))) => 32.31/4.85 ('#sk54' @ Y0 @ Y1))))))))) 32.31/4.85 | ('#form24'))), 32.31/4.85 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl56])). 32.31/4.85 thf(zip_derived_cl93, plain, 32.31/4.85 (![X2 : a]: 32.31/4.85 ( (((!!) @ (^[Y0 : a]: 32.31/4.85 ((((('#sk1' @ X2 @ Y0) | ('#sk2' @ X2 @ Y0))) => 32.31/4.85 ('#sk54' @ X2 @ Y0)))))) 32.31/4.85 | ('#form24'))), 32.31/4.85 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl83])). 32.31/4.85 thf(zip_derived_cl103, plain, 32.31/4.85 (![X2 : a, X4 : a]: 32.31/4.85 ( ((((('#sk1' @ X2 @ X4) | ('#sk2' @ X2 @ X4))) => ('#sk54' @ X2 @ X4))) 32.31/4.85 | ('#form24'))), 32.31/4.85 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl93])). 32.31/4.85 thf(zip_derived_cl115, plain, 32.31/4.85 (![X2 : a, X4 : a]: 32.31/4.85 (~ ((('#sk1' @ X2 @ X4) | ('#sk2' @ X2 @ X4))) 32.31/4.85 | ('#sk54' @ X2 @ X4) 32.31/4.85 | ('#form24'))), 32.31/4.85 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl103])). 32.31/4.85 thf(zip_derived_cl129, plain, 32.31/4.85 (![X2 : a, X4 : a]: 32.31/4.85 (~ ('#sk1' @ X2 @ X4) | ('#form24') | ('#sk54' @ X2 @ X4))), 32.31/4.85 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl115])). 32.31/4.85 thf(zip_derived_cl205, plain, 32.31/4.85 ((~ ('#sk5' @ ('#sk53' @ '#sk5') @ ('#sk69' @ '#sk5')) 32.31/4.85 | ~ ('#form24') 32.31/4.85 | ~ ('#form14') 32.31/4.85 | ~ (((!!) @ (^[Y0 : a]: 32.31/4.85 (((!!) @ (^[Y1 : a]: 32.31/4.85 (((!!) @ (^[Y2 : a]: 32.31/4.85 ((((('#sk5' @ Y1 @ Y2) & 32.31/4.85 ('#sk5' @ Y0 @ Y1))) => 32.31/4.85 ('#sk5' @ Y0 @ Y2)))))))))))))), 32.31/4.85 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl203])). 32.31/4.85 thf(zip_derived_cl207, plain, 32.31/4.85 ((~ (((!!) @ (^[Y0 : a]: 32.31/4.85 (((!!) @ (^[Y1 : a]: 32.31/4.85 ((((('#sk5' @ Y0 @ Y1) & ('#sk5' @ 32.31/4.85 ('#sk137' @ '#sk5') @ Y0))) => 32.31/4.85 ('#sk5' @ ('#sk137' @ '#sk5') @ Y1))))))))) 32.31/4.85 | ~ ('#form14') 32.31/4.85 | ~ ('#form24') 32.31/4.85 | ~ ('#sk5' @ ('#sk53' @ '#sk5') @ ('#sk69' @ '#sk5')))), 32.31/4.85 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl205])). 32.31/4.85 thf(zip_derived_cl209, plain, 32.31/4.85 ((~ (((!!) @ (^[Y0 : a]: 32.31/4.85 ((((('#sk5' @ ('#sk196' @ '#sk5') @ Y0) & ('#sk5' @ 32.31/4.85 ('#sk137' @ '#sk5') @ ('#sk196' @ '#sk5')))) => 32.31/4.85 ('#sk5' @ ('#sk137' @ '#sk5') @ Y0)))))) 32.31/4.85 | ~ ('#sk5' @ ('#sk53' @ '#sk5') @ ('#sk69' @ '#sk5')) 32.31/4.85 | ~ ('#form24') 32.31/4.85 | ~ ('#form14'))), 32.31/4.85 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl207])). 32.31/4.85 thf(zip_derived_cl211, plain, 32.31/4.85 ((~ ((((('#sk5' @ ('#sk196' @ '#sk5') @ ('#sk262' @ '#sk5')) & ('#sk5' @ 32.31/4.85 ('#sk137' @ '#sk5') @ ('#sk196' @ '#sk5')))) => 32.31/4.85 ('#sk5' @ ('#sk137' @ '#sk5') @ ('#sk262' @ '#sk5')))) 32.31/4.85 | ~ ('#form14') 32.31/4.85 | ~ ('#form24') 32.31/4.85 | ~ ('#sk5' @ ('#sk53' @ '#sk5') @ ('#sk69' @ '#sk5')))), 32.31/4.85 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl209])). 32.31/4.85 thf(zip_derived_cl213, plain, 32.31/4.85 (( ((('#sk5' @ ('#sk196' @ '#sk5') @ ('#sk262' @ '#sk5')) & ('#sk5' @ 32.31/4.85 ('#sk137' @ '#sk5') @ ('#sk196' @ '#sk5')))) 32.31/4.85 | ~ ('#sk5' @ ('#sk53' @ '#sk5') @ ('#sk69' @ '#sk5')) 32.31/4.85 | ~ ('#form24') 32.31/4.85 | ~ ('#form14'))), 32.31/4.85 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl211])). 32.31/4.85 thf(zip_derived_cl218, plain, 32.31/4.85 (( ('#sk5' @ ('#sk137' @ '#sk5') @ ('#sk196' @ '#sk5')) 32.31/4.85 | ~ ('#form14') 32.31/4.85 | ~ ('#form24') 32.31/4.85 | ~ ('#sk5' @ ('#sk53' @ '#sk5') @ ('#sk69' @ '#sk5')))), 32.31/4.85 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl213])). 32.31/4.85 thf(zip_derived_cl219, plain, 32.31/4.85 (( ('#sk5' @ ('#sk196' @ '#sk5') @ ('#sk262' @ '#sk5')) 32.31/4.85 | ~ ('#form24') 32.31/4.85 | ~ ('#form14') 32.31/4.85 | ('#sk2' @ ('#sk53' @ '#sk5') @ ('#sk69' @ '#sk5')) 32.31/4.85 | ('#sk1' @ ('#sk53' @ '#sk5') @ ('#sk69' @ '#sk5')))), 32.31/4.85 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl215])). 32.31/4.85 thf(zip_derived_cl13, plain, 32.31/4.85 ( (((((!!) @ (^[Y0 : a]: 32.31/4.85 (((!!) @ (^[Y1 : a]: 32.31/4.85 (((!!) @ (^[Y2 : a]: 32.31/4.85 ((((('#sk5' @ Y0 @ Y1) & 32.31/4.85 ('#sk5' @ Y1 @ Y2))) => 32.31/4.85 ('#sk5' @ Y0 @ Y2)))))))))))) & 32.31/4.85 (((!!) @ (^[Y0 : a]: 32.31/4.85 (((!!) @ (^[Y1 : a]: 32.31/4.85 ((((('#sk2' @ Y0 @ Y1) | ('#sk1' @ Y0 @ Y1))) => 32.31/4.85 ('#sk5' @ Y0 @ Y1)))))))))))), 32.31/4.85 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl8])). 32.31/4.85 thf(zip_derived_cl18, plain, 32.31/4.85 ( (((!!) @ (^[Y0 : a]: 32.31/4.85 (((!!) @ (^[Y1 : a]: 32.31/4.85 (((!!) @ (^[Y2 : a]: 32.31/4.85 ((((('#sk5' @ Y0 @ Y1) & ('#sk5' @ 32.31/4.85 Y1 @ Y2))) => 32.31/4.85 ('#sk5' @ Y0 @ Y2))))))))))))), 32.31/4.85 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl13])). 32.31/4.85 thf(zip_derived_cl24, plain, 32.31/4.85 (![X2 : a]: 32.31/4.85 (((!!) @ (^[Y0 : a]: 32.31/4.85 (((!!) @ (^[Y1 : a]: 32.31/4.85 ((((('#sk5' @ X2 @ Y0) & ('#sk5' @ Y0 @ Y1))) => 32.31/4.85 ('#sk5' @ X2 @ Y1)))))))))), 32.31/4.85 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl18])). 32.31/4.85 thf(zip_derived_cl29, plain, 32.31/4.85 (![X2 : a, X4 : a]: 32.31/4.85 (((!!) @ (^[Y0 : a]: 32.31/4.85 ((((('#sk5' @ X2 @ X4) & ('#sk5' @ X4 @ Y0))) => 32.31/4.85 ('#sk5' @ X2 @ Y0))))))), 32.31/4.85 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl24])). 32.31/4.85 thf(zip_derived_cl36, plain, 32.31/4.85 (![X2 : a, X4 : a, X6 : a]: 32.31/4.85 ((((('#sk5' @ X2 @ X4) & ('#sk5' @ X4 @ X6))) => ('#sk5' @ X2 @ X6)))), 32.31/4.85 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl29])). 32.31/4.85 thf(zip_derived_cl46, plain, 32.31/4.85 (![X2 : a, X4 : a, X6 : a]: 32.31/4.85 (~ ((('#sk5' @ X2 @ X4) & ('#sk5' @ X4 @ X6))) | ('#sk5' @ X2 @ X6))), 32.31/4.85 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl36])). 32.31/4.85 thf(zip_derived_cl72, plain, 32.31/4.85 (![X2 : a, X4 : a, X6 : a]: 32.31/4.85 (~ ('#sk5' @ X2 @ X4) | ~ ('#sk5' @ X4 @ X6) | ('#sk5' @ X2 @ X6))), 32.31/4.85 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl46])). 32.31/4.85 thf(zip_derived_cl214, plain, 32.31/4.85 ((~ ('#sk5' @ ('#sk137' @ '#sk5') @ ('#sk262' @ '#sk5')) 32.31/4.85 | ~ ('#sk5' @ ('#sk53' @ '#sk5') @ ('#sk69' @ '#sk5')) 32.31/4.85 | ~ ('#form24') 32.31/4.85 | ~ ('#form14'))), 32.31/4.85 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl211])). 32.31/4.85 thf(zip_derived_cl217, plain, 32.31/4.85 (( ('#sk5' @ ('#sk196' @ '#sk5') @ ('#sk262' @ '#sk5')) 32.31/4.85 | ~ ('#form14') 32.31/4.85 | ~ ('#form24') 32.31/4.85 | ~ ('#sk5' @ ('#sk53' @ '#sk5') @ ('#sk69' @ '#sk5')))), 32.31/4.85 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl213])). 32.31/4.85 thf(zip_derived_cl157, plain, 32.31/4.85 (![X2 : a > a > $o]: 32.31/4.85 ( ('#sk1' @ ('#sk359' @ X2) @ ('#sk455' @ X2)) 32.31/4.85 | ~ ('#form96') 32.31/4.85 | (X2 @ '#sk25' @ '#sk35') 32.31/4.85 | ~ ('#form221' @ X2))), 32.31/4.85 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl144])). 32.31/4.85 thf(zip_derived_cl19, plain, 32.31/4.85 ( (((!!) @ (^[Y0 : a]: 32.31/4.85 (((!!) @ (^[Y1 : a]: 32.31/4.85 ((((('#sk2' @ Y0 @ Y1) | ('#sk1' @ Y0 @ Y1))) => 32.31/4.85 ('#sk5' @ Y0 @ Y1)))))))))), 32.31/4.85 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl13])). 32.31/4.85 thf(zip_derived_cl25, plain, 32.31/4.85 (![X2 : a]: 32.31/4.85 (((!!) @ (^[Y0 : a]: 32.31/4.85 ((((('#sk2' @ X2 @ Y0) | ('#sk1' @ X2 @ Y0))) => 32.31/4.85 ('#sk5' @ X2 @ Y0))))))), 32.31/4.85 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl19])). 32.31/4.85 thf(zip_derived_cl30, plain, 32.31/4.85 (![X2 : a, X4 : a]: 32.31/4.85 ((((('#sk2' @ X2 @ X4) | ('#sk1' @ X2 @ X4))) => ('#sk5' @ X2 @ X4)))), 32.31/4.85 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl25])). 32.31/4.85 thf(zip_derived_cl37, plain, 32.31/4.85 (![X2 : a, X4 : a]: 32.31/4.85 (~ ((('#sk2' @ X2 @ X4) | ('#sk1' @ X2 @ X4))) | ('#sk5' @ X2 @ X4))), 32.31/4.85 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl30])). 32.31/4.85 thf(zip_derived_cl47, plain, 32.31/4.85 (![X2 : a, X4 : a]: (~ ('#sk2' @ X2 @ X4) | ('#sk5' @ X2 @ X4))), 32.31/4.85 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl37])). 32.31/4.85 thf(zip_derived_cl48, plain, 32.31/4.85 (![X2 : a, X4 : a]: (~ ('#sk1' @ X2 @ X4) | ('#sk5' @ X2 @ X4))), 32.31/4.85 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl37])). 32.31/4.85 thf(zip_derived_cl50, plain, 32.31/4.85 (![X2 : a > a > $o]: 32.31/4.85 ( (((((((!!) @ (^[Y0 : a]: 32.31/4.85 (((!!) @ (^[Y1 : a]: 32.31/4.85 (((!!) @ (^[Y2 : a]: 32.31/4.85 (((((X2 @ Y0 @ Y1) & (X2 @ 32.31/4.85 Y1 @ Y2))) => 32.31/4.85 (X2 @ Y0 @ Y2)))))))))))) & 32.31/4.85 (((!!) @ (^[Y0 : a]: 32.31/4.85 (((!!) @ (^[Y1 : a]: 32.31/4.85 ((('#sk2' @ Y0 @ Y1) => (X2 @ Y0 @ Y1))))))))))) => 32.31/4.85 (X2 @ '#sk25' @ '#sk35'))) 32.31/4.85 | ('#form24') 32.31/4.85 | (((!!) @ (^[Y0 : a > a > $o]: 32.31/4.85 (((((((!!) @ (^[Y1 : a]: 32.31/4.85 (((!!) @ (^[Y2 : a]: 32.31/4.85 (((!!) @ (^[Y3 : a]: 32.31/4.85 (((((Y0 @ 32.31/4.85 Y1 @ Y2) & 32.31/4.85 (Y0 @ 32.31/4.85 Y2 @ Y3))) => 32.31/4.85 (Y0 @ Y1 @ 32.31/4.85 Y3)))))))))))) & 32.31/4.85 (((!!) @ (^[Y1 : a]: 32.31/4.85 (((!!) @ (^[Y2 : a]: 32.31/4.85 ((('#sk1' @ Y1 @ Y2) => 32.31/4.85 (Y0 @ Y1 @ Y2))))))))))) => 32.31/4.85 (Y0 @ '#sk25' @ '#sk35')))))))), 32.31/4.85 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl39])). 32.31/4.85 thf(zip_derived_cl52, plain, 32.31/4.85 (( (((((((!!) @ (^[Y0 : a]: 32.31/4.85 (((!!) @ (^[Y1 : a]: 32.31/4.85 (((!!) @ (^[Y2 : a]: 32.31/4.85 ((((('#sk54' @ Y0 @ Y1) & 32.31/4.85 ('#sk54' @ Y1 @ Y2))) => 32.31/4.85 ('#sk54' @ Y0 @ Y2)))))))))))) & 32.31/4.85 (((!!) @ (^[Y0 : a]: 32.31/4.85 (((!!) @ (^[Y1 : a]: 32.31/4.85 ((('#sk2' @ Y0 @ Y1) => ('#sk54' @ Y0 @ 32.31/4.85 Y1))))))))))) => 32.31/4.85 ('#sk54' @ '#sk25' @ '#sk35'))) 32.31/4.85 | ('#form24') 32.31/4.85 | (((!!) @ (^[Y0 : a > a > $o]: 32.31/4.85 (((((((!!) @ (^[Y1 : a]: 32.31/4.85 (((!!) @ (^[Y2 : a]: 32.31/4.85 (((!!) @ (^[Y3 : a]: 32.31/4.85 (((((Y0 @ Y1 @ 32.31/4.85 Y2) & (Y0 @ 32.31/4.85 Y2 @ Y3))) => 32.31/4.85 (Y0 @ Y1 @ Y3)))))))))))) & 32.31/4.85 (((!!) @ (^[Y1 : a]: 32.31/4.85 (((!!) @ (^[Y2 : a]: 32.31/4.85 ((('#sk1' @ Y1 @ Y2) => 32.31/4.85 (Y0 @ Y1 @ Y2))))))))))) => 32.31/4.85 (Y0 @ '#sk25' @ '#sk35')))))))), 32.31/4.85 inference('triggered_bool_instantiation', [status(thm)], 32.31/4.85 [zip_derived_cl50])). 32.31/4.85 thf(zip_derived_cl75, plain, 32.31/4.85 ((~ ('#form96') 32.31/4.85 | (((!!) @ (^[Y0 : a > a > $o]: 32.31/4.85 (((((((!!) @ (^[Y1 : a]: 32.31/4.85 (((!!) @ (^[Y2 : a]: 32.31/4.85 (((!!) @ (^[Y3 : a]: 32.31/4.85 (((((Y0 @ Y1 @ 32.31/4.85 Y2) & (Y0 @ 32.31/4.85 Y2 @ Y3))) => 32.31/4.85 (Y0 @ Y1 @ Y3)))))))))))) & 32.31/4.85 (((!!) @ (^[Y1 : a]: 32.31/4.85 (((!!) @ (^[Y2 : a]: 32.31/4.85 ((('#sk1' @ Y1 @ Y2) => 32.31/4.85 (Y0 @ Y1 @ Y2))))))))))) => 32.31/4.85 (Y0 @ '#sk25' @ '#sk35')))))))), 32.31/4.85 define([status(thm)])). 32.31/4.85 thf(zip_derived_cl490, plain, 32.31/4.85 (( ('#form96') 32.31/4.85 | ('#form24') 32.31/4.85 | (((((((!!) @ (^[Y0 : a]: 32.31/4.85 (((!!) @ (^[Y1 : a]: 32.31/4.85 (((!!) @ (^[Y2 : a]: 32.31/4.85 ((((('#sk54' @ Y0 @ Y1) & 32.31/4.85 ('#sk54' @ Y1 @ Y2))) => 32.31/4.85 ('#sk54' @ Y0 @ Y2)))))))))))) & 32.31/4.85 (((!!) @ (^[Y0 : a]: 32.31/4.85 (((!!) @ (^[Y1 : a]: 32.31/4.85 ((('#sk2' @ Y0 @ Y1) => ('#sk54' @ Y0 @ 32.31/4.85 Y1))))))))))) => 32.31/4.85 ('#sk54' @ '#sk25' @ '#sk35'))))), 32.31/4.85 inference('renaming', [status(thm)], [zip_derived_cl52, zip_derived_cl75])). 32.31/4.85 thf(zip_derived_cl491, plain, 32.31/4.85 ((~ (((((!!) @ (^[Y0 : a]: 32.31/4.85 (((!!) @ (^[Y1 : a]: 32.31/4.85 (((!!) @ (^[Y2 : a]: 32.31/4.85 ((((('#sk54' @ Y0 @ Y1) & 32.31/4.85 ('#sk54' @ Y1 @ Y2))) => 32.31/4.85 ('#sk54' @ Y0 @ Y2)))))))))))) & 32.31/4.85 (((!!) @ (^[Y0 : a]: 32.31/4.85 (((!!) @ (^[Y1 : a]: 32.31/4.85 ((('#sk2' @ Y0 @ Y1) => ('#sk54' @ Y0 @ Y1))))))))))) 32.31/4.85 | ('#sk54' @ '#sk25' @ '#sk35') 32.31/4.85 | ('#form24') 32.31/4.85 | ('#form96'))), 32.31/4.85 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl490])). 32.31/4.85 thf(zip_derived_cl57, plain, 32.31/4.85 ((~ ('#sk54' @ '#sk25' @ '#sk35') | ('#form24'))), 32.31/4.85 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl41])). 32.31/4.85 thf(zip_derived_cl492, plain, 32.31/4.85 (( ('#form96') 32.31/4.85 | ('#form24') 32.31/4.85 | ~ (((((!!) @ (^[Y0 : a]: 32.31/4.85 (((!!) @ (^[Y1 : a]: 32.31/4.85 (((!!) @ (^[Y2 : a]: 32.31/4.85 ((((('#sk54' @ Y0 @ Y1) & 32.31/4.85 ('#sk54' @ Y1 @ Y2))) => 32.31/4.85 ('#sk54' @ Y0 @ Y2)))))))))))) & 32.31/4.85 (((!!) @ (^[Y0 : a]: 32.31/4.85 (((!!) @ (^[Y1 : a]: 32.31/4.85 ((('#sk2' @ Y0 @ Y1) => ('#sk54' @ Y0 @ 32.31/4.85 Y1))))))))))))), 32.31/4.85 inference('clc', [status(thm)], [zip_derived_cl491, zip_derived_cl57])). 32.31/4.85 thf(zip_derived_cl493, plain, 32.31/4.85 ((~ (((!!) @ (^[Y0 : a]: 32.31/4.85 (((!!) @ (^[Y1 : a]: 32.31/4.85 (((!!) @ (^[Y2 : a]: 32.31/4.85 ((((('#sk54' @ Y0 @ Y1) & 32.31/4.85 ('#sk54' @ Y1 @ Y2))) => 32.31/4.85 ('#sk54' @ Y0 @ Y2)))))))))))) 32.31/4.85 | ~ (((!!) @ (^[Y0 : a]: 32.31/4.85 (((!!) @ (^[Y1 : a]: 32.31/4.85 ((('#sk2' @ Y0 @ Y1) => ('#sk54' @ Y0 @ Y1))))))))) 32.31/4.85 | ('#form24') 32.31/4.85 | ('#form96'))), 32.31/4.85 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl492])). 32.31/4.85 thf(zip_derived_cl105, plain, 32.31/4.85 (![X2 : a > a > $o]: 32.31/4.85 ( ('#form221' @ X2) 32.31/4.85 | ~ (((!!) @ (^[Y0 : a]: 32.31/4.85 (((!!) @ (^[Y1 : a]: 32.31/4.85 (((!!) @ (^[Y2 : a]: 32.31/4.85 (((((X2 @ Y0 @ Y1) & (X2 @ 32.31/4.85 Y1 @ Y2))) => 32.31/4.85 (X2 @ Y0 @ Y2)))))))))))))), 32.31/4.85 define([status(thm)])). 32.31/4.85 thf(zip_derived_cl494, plain, 32.31/4.85 ((~ ('#form221' @ '#sk54') 32.31/4.85 | ('#form96') 32.31/4.85 | ('#form24') 32.31/4.85 | ~ (((!!) @ (^[Y0 : a]: 32.31/4.85 (((!!) @ (^[Y1 : a]: 32.31/4.85 ((('#sk2' @ Y0 @ Y1) => ('#sk54' @ Y0 @ Y1))))))))))), 32.31/4.85 inference('renaming', [status(thm)], 32.31/4.85 [zip_derived_cl493, zip_derived_cl105])). 32.31/4.85 thf(zip_derived_cl495, plain, 32.31/4.85 ((~ (((!!) @ (^[Y0 : a]: 32.31/4.85 ((('#sk2' @ ('#sk350' @ '#sk54') @ Y0) => ('#sk54' @ 32.31/4.85 ('#sk350' @ '#sk54') @ Y0)))))) 32.31/4.85 | ('#form24') 32.31/4.85 | ('#form96') 32.31/4.85 | ~ ('#form221' @ '#sk54'))), 32.31/4.85 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl494])). 32.31/4.85 thf(zip_derived_cl496, plain, 32.31/4.85 ((~ ((('#sk2' @ ('#sk350' @ '#sk54') @ ('#sk447' @ '#sk54')) => 32.31/4.85 ('#sk54' @ ('#sk350' @ '#sk54') @ ('#sk447' @ '#sk54')))) 32.31/4.85 | ~ ('#form221' @ '#sk54') 32.31/4.85 | ('#form96') 32.31/4.85 | ('#form24'))), 32.31/4.85 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl495])). 32.31/4.85 thf(zip_derived_cl498, plain, 32.31/4.85 ((~ ('#sk54' @ ('#sk350' @ '#sk54') @ ('#sk447' @ '#sk54')) 32.31/4.85 | ('#form24') 32.31/4.85 | ('#form96') 32.31/4.85 | ~ ('#form221' @ '#sk54'))), 32.31/4.85 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl496])). 32.31/4.85 thf(zip_derived_cl497, plain, 32.31/4.85 (( ('#sk2' @ ('#sk350' @ '#sk54') @ ('#sk447' @ '#sk54')) 32.31/4.85 | ('#form24') 32.31/4.85 | ('#form96') 32.31/4.85 | ~ ('#form221' @ '#sk54'))), 32.31/4.85 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl496])). 32.31/4.85 thf(zip_derived_cl130, plain, 32.31/4.85 (![X2 : a, X4 : a]: 32.31/4.85 (~ ('#sk2' @ X2 @ X4) | ('#form24') | ('#sk54' @ X2 @ X4))), 32.31/4.85 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl115])). 32.31/4.85 thf(zip_derived_cl105, plain, 32.31/4.85 (![X2 : a > a > $o]: 32.31/4.85 ( ('#form221' @ X2) 32.31/4.85 | ~ (((!!) @ (^[Y0 : a]: 32.31/4.85 (((!!) @ (^[Y1 : a]: 32.31/4.85 (((!!) @ (^[Y2 : a]: 32.31/4.85 (((((X2 @ Y0 @ Y1) & (X2 @ 32.31/4.85 Y1 @ Y2))) => 32.31/4.85 (X2 @ Y0 @ Y2)))))))))))))), 32.31/4.85 define([status(thm)])). 32.31/4.85 thf(zip_derived_cl106, plain, 32.31/4.85 (![X2 : a > a > $o]: 32.31/4.85 (~ (((!!) @ (^[Y0 : a]: 32.31/4.85 (((!!) @ (^[Y1 : a]: 32.31/4.85 (((((X2 @ ('#sk222' @ X2) @ Y0) & (X2 @ 32.31/4.85 Y0 @ Y1))) => 32.31/4.85 (X2 @ ('#sk222' @ X2) @ Y1))))))))) 32.31/4.85 | ('#form221' @ X2))), 32.31/4.85 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl105])). 32.31/4.85 thf(zip_derived_cl118, plain, 32.31/4.85 (![X2 : a > a > $o]: 32.31/4.85 (~ (((!!) @ (^[Y0 : a]: 32.31/4.85 (((((X2 @ ('#sk222' @ X2) @ ('#sk293' @ X2)) & (X2 @ 32.31/4.85 ('#sk293' @ X2) @ Y0))) => 32.31/4.85 (X2 @ ('#sk222' @ X2) @ Y0)))))) 32.31/4.85 | ('#form221' @ X2))), 32.31/4.85 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl106])). 32.31/4.85 thf(zip_derived_cl133, plain, 32.31/4.85 (![X2 : a > a > $o]: 32.31/4.85 (~ (((((X2 @ ('#sk222' @ X2) @ ('#sk293' @ X2)) & (X2 @ 32.31/4.85 ('#sk293' @ X2) @ ('#sk381' @ X2)))) => 32.31/4.85 (X2 @ ('#sk222' @ X2) @ ('#sk381' @ X2)))) 32.31/4.85 | ('#form221' @ X2))), 32.31/4.85 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl118])). 32.31/4.85 thf(zip_derived_cl148, plain, 32.31/4.85 (![X2 : a > a > $o]: 32.31/4.85 ( (((X2 @ ('#sk222' @ X2) @ ('#sk293' @ X2)) & (X2 @ 32.31/4.85 ('#sk293' @ X2) @ ('#sk381' @ X2)))) 32.31/4.85 | ('#form221' @ X2))), 32.31/4.85 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl133])). 32.31/4.85 thf(zip_derived_cl161, plain, 32.31/4.85 (![X2 : a > a > $o]: 32.31/4.85 ( (X2 @ ('#sk293' @ X2) @ ('#sk381' @ X2)) | ('#form221' @ X2))), 32.31/4.85 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl148])). 32.31/4.85 thf(zip_derived_cl149, plain, 32.31/4.85 (![X2 : a > a > $o]: 32.31/4.85 (~ (X2 @ ('#sk222' @ X2) @ ('#sk381' @ X2)) | ('#form221' @ X2))), 32.31/4.85 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl133])). 32.31/4.85 thf(zip_derived_cl160, plain, 32.31/4.85 (![X2 : a > a > $o]: 32.31/4.85 ( (X2 @ ('#sk222' @ X2) @ ('#sk293' @ X2)) | ('#form221' @ X2))), 32.31/4.85 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl148])). 32.31/4.85 thf(zip_derived_cl84, plain, 32.31/4.85 (( (((!!) @ (^[Y0 : a]: 32.31/4.85 (((!!) @ (^[Y1 : a]: 32.31/4.85 (((!!) @ (^[Y2 : a]: 32.31/4.85 ((((('#sk54' @ Y1 @ Y2) & 32.31/4.85 ('#sk54' @ Y0 @ Y1))) => 32.31/4.85 ('#sk54' @ Y0 @ Y2)))))))))))) 32.31/4.85 | ('#form24'))), 32.31/4.85 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl56])). 32.31/4.85 thf(zip_derived_cl94, plain, 32.31/4.85 (![X2 : a]: 32.31/4.85 ( (((!!) @ (^[Y0 : a]: 32.31/4.85 (((!!) @ (^[Y1 : a]: 32.31/4.85 ((((('#sk54' @ Y0 @ Y1) & ('#sk54' @ X2 @ 32.31/4.85 Y0))) => 32.31/4.85 ('#sk54' @ X2 @ Y1))))))))) 32.31/4.85 | ('#form24'))), 32.31/4.85 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl84])). 32.31/4.85 thf(zip_derived_cl104, plain, 32.31/4.85 (![X2 : a, X4 : a]: 32.31/4.85 ( (((!!) @ (^[Y0 : a]: 32.31/4.85 ((((('#sk54' @ X4 @ Y0) & ('#sk54' @ X2 @ X4))) => 32.31/4.85 ('#sk54' @ X2 @ Y0)))))) 32.31/4.85 | ('#form24'))), 32.31/4.85 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl94])). 32.31/4.85 thf(zip_derived_cl116, plain, 32.31/4.85 (![X2 : a, X4 : a, X6 : a]: 32.31/4.85 ( ((((('#sk54' @ X4 @ X6) & ('#sk54' @ X2 @ X4))) => ('#sk54' @ X2 @ 32.31/4.85 X6))) 32.31/4.85 | ('#form24'))), 32.31/4.85 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl104])). 32.31/4.85 thf(zip_derived_cl131, plain, 32.31/4.85 (![X2 : a, X4 : a, X6 : a]: 32.31/4.85 (~ ((('#sk54' @ X4 @ X6) & ('#sk54' @ X2 @ X4))) 32.31/4.85 | ('#sk54' @ X2 @ X6) 32.31/4.85 | ('#form24'))), 32.31/4.85 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl116])). 32.31/4.85 thf(zip_derived_cl145, plain, 32.31/4.85 (![X2 : a, X4 : a, X6 : a]: 32.31/4.85 (~ ('#sk54' @ X4 @ X6) 32.31/4.85 | ~ ('#sk54' @ X2 @ X4) 32.31/4.85 | ('#form24') 32.31/4.85 | ('#sk54' @ X2 @ X6))), 32.31/4.85 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl131])). 32.31/4.85 thf(zip_derived_cl4358, plain, ($false), 32.31/4.85 inference('eprover', [status(thm)], 32.31/4.85 [zip_derived_cl71, zip_derived_cl147, zip_derived_cl159, 32.31/4.85 zip_derived_cl137, zip_derived_cl168, zip_derived_cl172, 32.31/4.85 zip_derived_cl171, zip_derived_cl138, zip_derived_cl170, 32.31/4.85 zip_derived_cl174, zip_derived_cl173, zip_derived_cl152, 32.31/4.85 zip_derived_cl158, zip_derived_cl220, zip_derived_cl216, 32.31/4.85 zip_derived_cl57, zip_derived_cl129, zip_derived_cl218, 32.31/4.85 zip_derived_cl219, zip_derived_cl72, zip_derived_cl214, 32.31/4.85 zip_derived_cl217, zip_derived_cl157, zip_derived_cl47, 32.31/4.85 zip_derived_cl48, zip_derived_cl498, zip_derived_cl497, 32.31/4.85 zip_derived_cl130, zip_derived_cl161, zip_derived_cl149, 32.31/4.85 zip_derived_cl160, zip_derived_cl145])). 32.31/4.85 32.31/4.85 % SZS output end Refutation 32.31/4.85 32.31/4.85 32.31/4.85 % Terminating... 32.96/4.96 % Runner terminated. 32.96/4.96 % Zipperpin 1.5 exiting 32.96/4.96 EOF