0.03/0.10 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.03/0.11 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.YicpaOD6at true 0.10/0.32 % Computer : n012.cluster.edu 0.10/0.32 % Model : x86_64 x86_64 0.10/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.10/0.32 % Memory : 8042.1875MB 0.10/0.32 % OS : Linux 3.10.0-693.el7.x86_64 0.10/0.32 % CPULimit : 960 0.10/0.32 % WCLimit : 120 0.10/0.32 % DateTime : Tue Aug 9 06:55:59 EDT 2022 0.16/0.32 % CPUTime : 0.16/0.32 % Running portfolio for 960 s 0.16/0.32 % File : /export/starexec/sandbox/benchmark/theBenchmark.p 0.16/0.32 % Number of cores: 8 0.16/0.32 % Python version: Python 3.6.8 0.16/0.33 % Running in HO mode 0.47/0.57 % Total configuration time : 828 0.47/0.57 % Estimated wc time : 1656 0.47/0.57 % Estimated cpu time (8 cpus) : 207.0 0.60/0.65 % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s 0.60/0.66 % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s 0.60/0.67 % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s 0.60/0.67 % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s 0.60/0.67 % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s 0.60/0.67 % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s 0.60/0.67 % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s 0.60/0.69 % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s 14.40/2.40 % Solved by lams/20_acsne_simpl.sh. 14.40/2.40 % done 3453 iterations in 1.605s 14.40/2.40 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p' 14.40/2.40 % SZS output start Refutation 14.40/2.40 thf(a_type, type, a: $tType). 14.40/2.40 thf(b_type, type, b: $tType). 14.40/2.40 thf('#sk7_type', type, '#sk7': a > b). 14.40/2.40 thf('#sk15_type', type, '#sk15': a). 14.40/2.40 thf('#sk8_type', type, '#sk8': a > b). 14.40/2.40 thf('#sk11_type', type, '#sk11': a > b). 14.40/2.40 thf('#sk1_type', type, '#sk1': a > a > $o). 14.40/2.40 thf('#sk14_type', type, '#sk14': a). 14.40/2.40 thf('#form9_type', type, '#form9': $o). 14.40/2.40 thf('#sk10_type', type, '#sk10': a > b). 14.40/2.40 thf('#sk17_type', type, '#sk17': a). 14.40/2.40 thf('#sk4_type', type, '#sk4': a > b > b > $o). 14.40/2.40 thf('#sk13_type', type, '#sk13': a > b). 14.40/2.40 thf('#sk19_type', type, '#sk19': a). 14.40/2.40 thf('#sk21_type', type, '#sk21': a). 14.40/2.40 thf('#_fresh_sk6_type', type, '#_fresh_sk6': a > b). 14.40/2.40 thf('#sk18_type', type, '#sk18': a). 14.40/2.40 thf('#sk3_type', type, '#sk3': a > b > b > $o). 14.40/2.40 thf('#form20_type', type, '#form20': $o). 14.40/2.40 thf('#sk2_type', type, '#sk2': a > a > $o). 14.40/2.40 thf('#sk22_type', type, '#sk22': a). 14.40/2.40 thf('#sk16_type', type, '#sk16': a). 14.40/2.40 thf('#form12_type', type, '#form12': $o). 14.40/2.40 thf('#_fresh_sk5_type', type, '#_fresh_sk5': a > b). 14.40/2.40 thf(cTHM517_pme, conjecture, 14.40/2.40 (![Xp:( a > a > $o ),Xq:( a > a > $o ),Xr:( a > b > b > $o ), 14.40/2.40 Xs:( a > b > b > $o )]: 14.40/2.40 ( ( ( ![Xx:a,Xy:a]: ( ( Xp @ Xx @ Xy ) => ( Xp @ Xy @ Xx ) ) ) & 14.40/2.40 ( ![Xx:a,Xy:a,Xz:a]: 14.40/2.40 ( ( ( Xp @ Xx @ Xy ) & ( Xp @ Xy @ Xz ) ) => ( Xp @ Xx @ Xz ) ) ) & 14.40/2.40 ( ( Xp ) = ( Xq ) ) ) => 14.40/2.40 ( ( ![Xx:a,Xy:a]: 14.40/2.40 ( ( Xp @ Xx @ Xy ) => 14.40/2.40 ( ( ![Xx0:b,Xy0:b,Xz:b]: 14.40/2.40 ( ( ( Xr @ Xx @ Xx0 @ Xy0 ) & ( Xr @ Xx @ Xy0 @ Xz ) ) => 14.40/2.40 ( Xr @ Xx @ Xx0 @ Xz ) ) ) & 14.40/2.40 ( ( Xr @ Xx ) = ( Xr @ Xy ) ) & 14.40/2.40 ( ![Xx0:b,Xy0:b]: 14.40/2.40 ( ( Xr @ Xx @ Xx0 @ Xy0 ) => ( Xr @ Xx @ Xy0 @ Xx0 ) ) ) ) ) ) => 14.40/2.40 ( ( ![Xx:a]: 14.40/2.40 ( ( Xp @ Xx @ Xx ) => 14.40/2.40 ( ( ![Xx0:b,Xy:b,Xz:b]: 14.40/2.40 ( ( ( Xr @ Xx @ Xx0 @ Xy ) & ( Xr @ Xx @ Xy @ Xz ) ) => 14.40/2.40 ( Xr @ Xx @ Xx0 @ Xz ) ) ) & 14.40/2.40 ( ( Xr @ Xx ) = ( Xs @ Xx ) ) & 14.40/2.40 ( ![Xx0:b,Xy:b]: 14.40/2.40 ( ( Xr @ Xx @ Xx0 @ Xy ) => ( Xr @ Xx @ Xy @ Xx0 ) ) ) ) ) ) => 14.40/2.40 ( ( ![Xx:( a > b ),Xy:( a > b )]: 14.40/2.40 ( ( ![Xx0:a,Xy0:a]: 14.40/2.40 ( ( Xp @ Xx0 @ Xy0 ) => 14.40/2.40 ( Xr @ Xx0 @ ( Xx @ Xx0 ) @ ( Xy @ Xy0 ) ) ) ) => 14.40/2.40 ( ![Xx0:a,Xy0:a]: 14.40/2.40 ( ( Xp @ Xx0 @ Xy0 ) => 14.40/2.40 ( Xr @ Xx0 @ ( Xy @ Xx0 ) @ ( Xx @ Xy0 ) ) ) ) ) ) & 14.40/2.40 ( ( ^[Xf:( a > b ),Xg:( a > b )]: 14.40/2.40 ( ![Xx:a,Xy:a]: 14.40/2.40 ( ( Xp @ Xx @ Xy ) => 14.40/2.40 ( Xr @ Xx @ ( Xf @ Xx ) @ ( Xg @ Xy ) ) ) ) ) = 14.40/2.40 ( ^[Xf:( a > b ),Xg:( a > b )]: 14.40/2.40 ( ![Xx:a,Xy:a]: 14.40/2.40 ( ( Xq @ Xx @ Xy ) => 14.40/2.40 ( Xs @ Xx @ ( Xf @ Xx ) @ ( Xg @ Xy ) ) ) ) ) ) & 14.40/2.40 ( ![Xx:( a > b ),Xy:( a > b ),Xz:( a > b )]: 14.40/2.40 ( ( ( ![Xx0:a,Xy0:a]: 14.40/2.40 ( ( Xp @ Xx0 @ Xy0 ) => 14.40/2.40 ( Xr @ Xx0 @ ( Xx @ Xx0 ) @ ( Xy @ Xy0 ) ) ) ) & 14.40/2.40 ( ![Xx0:a,Xy0:a]: 14.40/2.40 ( ( Xp @ Xx0 @ Xy0 ) => 14.40/2.40 ( Xr @ Xx0 @ ( Xy @ Xx0 ) @ ( Xz @ Xy0 ) ) ) ) ) => 14.40/2.40 ( ![Xx0:a,Xy0:a]: 14.40/2.40 ( ( Xp @ Xx0 @ Xy0 ) => 14.40/2.40 ( Xr @ Xx0 @ ( Xx @ Xx0 ) @ ( Xz @ Xy0 ) ) ) ) ) ) ) ) ) ))). 14.40/2.40 thf(zf_stmt_0, negated_conjecture, 14.40/2.40 (~( ![Xp:( a > a > $o ),Xq:( a > a > $o ),Xr:( a > b > b > $o ), 14.40/2.40 Xs:( a > b > b > $o )]: 14.40/2.40 ( ( ( ![Xx:a,Xy:a]: ( ( Xp @ Xx @ Xy ) => ( Xp @ Xy @ Xx ) ) ) & 14.40/2.40 ( ![Xx:a,Xy:a,Xz:a]: 14.40/2.40 ( ( ( Xp @ Xx @ Xy ) & ( Xp @ Xy @ Xz ) ) => ( Xp @ Xx @ Xz ) ) ) & 14.40/2.40 ( ( Xp ) = ( Xq ) ) ) => 14.40/2.40 ( ( ![Xx:a,Xy:a]: 14.40/2.40 ( ( Xp @ Xx @ Xy ) => 14.40/2.40 ( ( ![Xx0:b,Xy0:b,Xz:b]: 14.40/2.40 ( ( ( Xr @ Xx @ Xx0 @ Xy0 ) & ( Xr @ Xx @ Xy0 @ Xz ) ) => 14.40/2.40 ( Xr @ Xx @ Xx0 @ Xz ) ) ) & 14.40/2.40 ( ( Xr @ Xx ) = ( Xr @ Xy ) ) & 14.40/2.40 ( ![Xx0:b,Xy0:b]: 14.40/2.40 ( ( Xr @ Xx @ Xx0 @ Xy0 ) => ( Xr @ Xx @ Xy0 @ Xx0 ) ) ) ) ) ) => 14.40/2.40 ( ( ![Xx:a]: 14.40/2.40 ( ( Xp @ Xx @ Xx ) => 14.40/2.40 ( ( ![Xx0:b,Xy:b,Xz:b]: 14.40/2.40 ( ( ( Xr @ Xx @ Xx0 @ Xy ) & ( Xr @ Xx @ Xy @ Xz ) ) => 14.40/2.40 ( Xr @ Xx @ Xx0 @ Xz ) ) ) & 14.40/2.40 ( ( Xr @ Xx ) = ( Xs @ Xx ) ) & 14.40/2.40 ( ![Xx0:b,Xy:b]: 14.40/2.40 ( ( Xr @ Xx @ Xx0 @ Xy ) => ( Xr @ Xx @ Xy @ Xx0 ) ) ) ) ) ) => 14.40/2.40 ( ( ![Xx:( a > b ),Xy:( a > b )]: 14.40/2.40 ( ( ![Xx0:a,Xy0:a]: 14.40/2.40 ( ( Xp @ Xx0 @ Xy0 ) => 14.40/2.40 ( Xr @ Xx0 @ ( Xx @ Xx0 ) @ ( Xy @ Xy0 ) ) ) ) => 14.40/2.40 ( ![Xx0:a,Xy0:a]: 14.40/2.40 ( ( Xp @ Xx0 @ Xy0 ) => 14.40/2.40 ( Xr @ Xx0 @ ( Xy @ Xx0 ) @ ( Xx @ Xy0 ) ) ) ) ) ) & 14.40/2.40 ( ( ^[Xf:( a > b ),Xg:( a > b )]: 14.40/2.40 ( ![Xx:a,Xy:a]: 14.40/2.40 ( ( Xp @ Xx @ Xy ) => 14.40/2.40 ( Xr @ Xx @ ( Xf @ Xx ) @ ( Xg @ Xy ) ) ) ) ) = 14.40/2.40 ( ^[Xf:( a > b ),Xg:( a > b )]: 14.40/2.40 ( ![Xx:a,Xy:a]: 14.40/2.40 ( ( Xq @ Xx @ Xy ) => 14.40/2.40 ( Xs @ Xx @ ( Xf @ Xx ) @ ( Xg @ Xy ) ) ) ) ) ) & 14.40/2.40 ( ![Xx:( a > b ),Xy:( a > b ),Xz:( a > b )]: 14.40/2.40 ( ( ( ![Xx0:a,Xy0:a]: 14.40/2.40 ( ( Xp @ Xx0 @ Xy0 ) => 14.40/2.40 ( Xr @ Xx0 @ ( Xx @ Xx0 ) @ ( Xy @ Xy0 ) ) ) ) & 14.40/2.40 ( ![Xx0:a,Xy0:a]: 14.40/2.40 ( ( Xp @ Xx0 @ Xy0 ) => 14.40/2.40 ( Xr @ Xx0 @ ( Xy @ Xx0 ) @ ( Xz @ Xy0 ) ) ) ) ) => 14.40/2.40 ( ![Xx0:a,Xy0:a]: 14.40/2.40 ( ( Xp @ Xx0 @ Xy0 ) => 14.40/2.40 ( Xr @ Xx0 @ ( Xx @ Xx0 ) @ ( Xz @ Xy0 ) ) ) ) ) ) ) ) ) ) )), 14.40/2.40 inference('cnf.neg', [status(esa)], [cTHM517_pme])). 14.40/2.40 thf(zip_derived_cl0, plain, 14.40/2.40 (~ (((!!) @ (^[Y0 : a > a > $o]: 14.40/2.40 (((!!) @ (^[Y1 : a > a > $o]: 14.40/2.40 (((!!) @ (^[Y2 : a > b > b > $o]: 14.40/2.40 (((!!) @ (^[Y3 : a > b > b > $o]: 14.40/2.40 (((((((!!) @ ( 14.40/2.40 ^[Y4 : a]: 14.40/2.40 (((!!) @ ( 14.40/2.40 ^[Y5 : a]: 14.40/2.40 (( 14.40/2.40 (Y0 @ 14.40/2.40 Y4 @ 14.40/2.40 Y5) => 14.40/2.40 (Y0 @ 14.40/2.40 Y5 @ Y4))))))))) & 14.40/2.40 (((!!) @ ( 14.40/2.40 ^[Y4 : a]: 14.40/2.40 (((!!) @ ( 14.40/2.40 ^[Y5 : a]: 14.40/2.40 (( 14.40/2.40 (!!) @ ( 14.40/2.40 ^[Y6 : a]: 14.40/2.40 (( 14.40/2.40 (( 14.40/2.40 (Y0 @ 14.40/2.40 Y4 @ 14.40/2.40 Y5) & 14.40/2.40 (Y0 @ 14.40/2.40 Y5 @ Y6))) => 14.40/2.40 (Y0 @ 14.40/2.40 Y4 @ Y6)))))))))))) & 14.40/2.40 (((Y0) = (Y1))))) => 14.40/2.40 (((((!!) @ ( 14.40/2.40 ^[Y4 : a]: 14.40/2.40 (((!!) @ ( 14.40/2.40 ^[Y5 : a]: 14.40/2.40 (( 14.40/2.40 (Y0 @ 14.40/2.40 Y4 @ 14.40/2.40 Y5) => 14.40/2.40 (( 14.40/2.40 ( 14.40/2.40 ( 14.40/2.40 (!!) @ ( 14.40/2.40 ^[Y6 : b]: 14.40/2.40 (( 14.40/2.40 (!!) @ ( 14.40/2.40 ^[Y7 : b]: 14.40/2.40 (( 14.40/2.40 (!!) @ ( 14.40/2.40 ^[Y8 : b]: 14.40/2.40 (( 14.40/2.40 (( 14.40/2.40 (Y2 @ 14.40/2.40 Y4 @ 14.40/2.40 Y6 @ 14.40/2.40 Y7) & 14.40/2.40 (Y2 @ 14.40/2.40 Y4 @ 14.40/2.40 Y7 @ Y8))) => 14.40/2.40 (Y2 @ 14.40/2.40 Y4 @ 14.40/2.40 Y6 @ Y8)))))))))))) & 14.40/2.40 ( 14.40/2.40 ( 14.40/2.40 (Y2 @ 14.40/2.40 Y4) = 14.40/2.40 (Y2 @ Y5))) & 14.40/2.40 ( 14.40/2.40 ( 14.40/2.40 (!!) @ ( 14.40/2.40 ^[Y6 : b]: 14.40/2.40 (( 14.40/2.40 (!!) @ ( 14.40/2.40 ^[Y7 : b]: 14.40/2.40 (( 14.40/2.40 (Y2 @ 14.40/2.40 Y4 @ 14.40/2.40 Y6 @ 14.40/2.40 Y7) => 14.40/2.40 (Y2 @ 14.40/2.40 Y4 @ 14.40/2.40 Y7 @ Y6))))))))))))))))))) => 14.40/2.40 (((((!!) @ ( 14.40/2.40 ^[Y4 : a]: 14.40/2.40 (((Y0 @ 14.40/2.40 Y4 @ 14.40/2.40 Y4) => 14.40/2.40 (( 14.40/2.40 (( 14.40/2.40 (!!) @ ( 14.40/2.40 ^[Y5 : b]: 14.40/2.40 (( 14.40/2.40 (!!) @ ( 14.40/2.40 ^[Y6 : b]: 14.40/2.40 (( 14.40/2.40 (!!) @ ( 14.40/2.40 ^[Y7 : b]: 14.40/2.40 (( 14.40/2.40 (( 14.40/2.40 (Y2 @ 14.40/2.40 Y4 @ 14.40/2.40 Y5 @ 14.40/2.40 Y6) & 14.40/2.40 (Y2 @ 14.40/2.40 Y4 @ 14.40/2.40 Y6 @ Y7))) => 14.40/2.40 (Y2 @ 14.40/2.40 Y4 @ 14.40/2.40 Y5 @ Y7)))))))))))) & 14.40/2.40 (( 14.40/2.40 (Y2 @ 14.40/2.40 Y4) = 14.40/2.40 (Y3 @ Y4))) & 14.40/2.40 (( 14.40/2.40 (!!) @ ( 14.40/2.40 ^[Y5 : b]: 14.40/2.40 (( 14.40/2.40 (!!) @ ( 14.40/2.40 ^[Y6 : b]: 14.40/2.40 (( 14.40/2.40 (Y2 @ 14.40/2.40 Y4 @ 14.40/2.40 Y5 @ 14.40/2.40 Y6) => 14.40/2.40 (Y2 @ 14.40/2.40 Y4 @ 14.40/2.40 Y6 @ Y5)))))))))))))))) => 14.40/2.40 (((((!!) @ ( 14.40/2.40 ^[Y4 : a > b]: 14.40/2.40 (( 14.40/2.40 (!!) @ ( 14.40/2.40 ^[Y5 : a > b]: 14.40/2.40 (( 14.40/2.40 (( 14.40/2.40 (!!) @ ( 14.40/2.40 ^[Y6 : a]: 14.40/2.40 (( 14.40/2.40 (!!) @ ( 14.40/2.40 ^[Y7 : a]: 14.40/2.40 (( 14.40/2.40 (Y0 @ 14.40/2.40 Y6 @ 14.40/2.40 Y7) => 14.40/2.40 (Y2 @ 14.40/2.40 Y6 @ 14.40/2.40 ( 14.40/2.40 Y4 @ Y6) @ 14.40/2.40 ( 14.40/2.40 Y5 @ Y7)))))))))) => 14.40/2.40 (( 14.40/2.40 (!!) @ ( 14.40/2.40 ^[Y6 : a]: 14.40/2.40 (( 14.40/2.40 (!!) @ ( 14.40/2.40 ^[Y7 : a]: 14.40/2.40 (( 14.40/2.40 (Y0 @ 14.40/2.40 Y6 @ 14.40/2.40 Y7) => 14.40/2.40 (Y2 @ 14.40/2.40 Y6 @ 14.40/2.40 ( 14.40/2.40 Y5 @ Y6) @ 14.40/2.40 ( 14.40/2.40 Y4 @ Y7)))))))))))))))))) & 14.40/2.40 ((((^[Y4 : a > b, 14.40/2.40 Y5 : a > b]: 14.40/2.40 (( 14.40/2.40 (!!) @ ( 14.40/2.40 ^[Y6 : a]: 14.40/2.40 (( 14.40/2.40 (!!) @ ( 14.40/2.40 ^[Y7 : a]: 14.40/2.40 (( 14.40/2.40 (Y0 @ 14.40/2.40 Y6 @ 14.40/2.40 Y7) => 14.40/2.40 (Y2 @ 14.40/2.40 Y6 @ 14.40/2.40 ( 14.40/2.40 Y4 @ Y6) @ 14.40/2.40 ( 14.40/2.40 Y5 @ Y7)))))))))))) = 14.40/2.40 ((^[Y4 : a > b, 14.40/2.40 Y5 : a > b]: 14.40/2.40 (( 14.40/2.40 (!!) @ ( 14.40/2.40 ^[Y6 : a]: 14.40/2.40 (( 14.40/2.40 (!!) @ ( 14.40/2.40 ^[Y7 : a]: 14.40/2.40 (( 14.40/2.40 (Y1 @ 14.40/2.40 Y6 @ 14.40/2.40 Y7) => 14.40/2.40 (Y3 @ 14.40/2.40 Y6 @ 14.40/2.40 ( 14.40/2.40 Y4 @ Y6) @ 14.40/2.40 ( 14.40/2.40 Y5 @ Y7)))))))))))))) & 14.40/2.40 (((!!) @ ( 14.40/2.40 ^[Y4 : a > b]: 14.40/2.40 (( 14.40/2.40 (!!) @ ( 14.40/2.40 ^[Y5 : a > b]: 14.40/2.40 (( 14.40/2.40 (!!) @ ( 14.40/2.40 ^[Y6 : a > b]: 14.40/2.40 (( 14.40/2.40 (( 14.40/2.40 (( 14.40/2.40 (!!) @ ( 14.40/2.40 ^[Y7 : a]: 14.40/2.40 (( 14.40/2.40 (!!) @ ( 14.40/2.40 ^[Y8 : a]: 14.40/2.40 (( 14.40/2.40 (Y0 @ 14.40/2.40 Y7 @ 14.40/2.40 Y8) => 14.40/2.40 (Y2 @ 14.40/2.40 Y7 @ 14.40/2.40 ( 14.40/2.40 Y4 @ Y7) @ 14.40/2.40 ( 14.40/2.40 Y5 @ Y8)))))))))) & 14.40/2.40 (( 14.40/2.40 (!!) @ ( 14.40/2.40 ^[Y7 : a]: 14.40/2.40 (( 14.40/2.40 (!!) @ ( 14.40/2.40 ^[Y8 : a]: 14.40/2.40 (( 14.40/2.40 (Y0 @ 14.40/2.40 Y7 @ 14.40/2.40 Y8) => 14.40/2.40 (Y2 @ 14.40/2.40 Y7 @ 14.40/2.40 ( 14.40/2.40 Y5 @ Y7) @ 14.40/2.40 ( 14.40/2.40 Y6 @ Y8)))))))))))) => 14.40/2.40 (( 14.40/2.40 (!!) @ ( 14.40/2.40 ^[Y7 : a]: 14.40/2.40 (( 14.40/2.40 (!!) @ ( 14.40/2.40 ^[Y8 : a]: 14.40/2.40 (( 14.40/2.40 (Y0 @ 14.40/2.40 Y7 @ 14.40/2.40 Y8) => 14.40/2.40 (Y2 @ 14.40/2.40 Y7 @ 14.40/2.40 ( 14.40/2.40 Y4 @ Y7) @ 14.40/2.40 ( 14.40/2.40 Y6 @ Y8)))))))))))))))))))))))))))))))))))))))))), 14.40/2.40 inference('cnf', [status(esa)], [zf_stmt_0])). 14.40/2.40 thf(zip_derived_cl1, plain, 14.40/2.40 (~ (((!!) @ (^[Y0 : a > a > $o]: 14.40/2.40 (((!!) @ (^[Y1 : a > b > b > $o]: 14.40/2.40 (((!!) @ (^[Y2 : a > b > b > $o]: 14.40/2.40 (((((((!!) @ (^[Y3 : a]: 14.40/2.40 (((!!) @ ( 14.40/2.40 ^[Y4 : a]: 14.40/2.40 ((('#sk1' @ 14.40/2.40 Y3 @ Y4) => 14.40/2.40 ('#sk1' @ 14.40/2.40 Y4 @ Y3))))))))) & 14.40/2.40 (((!!) @ (^[Y3 : a]: 14.40/2.40 (((!!) @ ( 14.40/2.40 ^[Y4 : a]: 14.40/2.40 (((!!) @ ( 14.40/2.40 ^[Y5 : a]: 14.40/2.40 (( 14.40/2.40 (( 14.40/2.40 ('#sk1' @ 14.40/2.40 Y3 @ 14.40/2.40 Y4) & 14.40/2.40 ('#sk1' @ 14.40/2.40 Y4 @ Y5))) => 14.40/2.40 ('#sk1' @ 14.40/2.40 Y3 @ Y5)))))))))))) & 14.40/2.40 ((('#sk1') = (Y0))))) => 14.40/2.40 (((((!!) @ (^[Y3 : a]: 14.40/2.40 (((!!) @ ( 14.40/2.40 ^[Y4 : a]: 14.40/2.40 ((('#sk1' @ 14.40/2.40 Y3 @ Y4) => 14.40/2.40 (((( 14.40/2.40 (!!) @ ( 14.40/2.40 ^[Y5 : b]: 14.40/2.40 (( 14.40/2.40 (!!) @ ( 14.40/2.40 ^[Y6 : b]: 14.40/2.40 (( 14.40/2.40 (!!) @ ( 14.40/2.40 ^[Y7 : b]: 14.40/2.40 (( 14.40/2.40 (( 14.40/2.40 (Y1 @ 14.40/2.40 Y3 @ 14.40/2.40 Y5 @ 14.40/2.40 Y6) & 14.40/2.40 (Y1 @ 14.40/2.40 Y3 @ 14.40/2.40 Y6 @ Y7))) => 14.40/2.40 (Y1 @ 14.40/2.40 Y3 @ 14.40/2.40 Y5 @ Y7)))))))))))) & 14.40/2.40 (( 14.40/2.40 (Y1 @ 14.40/2.40 Y3) = 14.40/2.40 (Y1 @ Y4))) & 14.40/2.40 (( 14.40/2.40 (!!) @ ( 14.40/2.40 ^[Y5 : b]: 14.40/2.40 (( 14.40/2.40 (!!) @ ( 14.40/2.40 ^[Y6 : b]: 14.40/2.40 (( 14.40/2.40 (Y1 @ 14.40/2.40 Y3 @ 14.40/2.40 Y5 @ 14.40/2.40 Y6) => 14.40/2.40 (Y1 @ 14.40/2.40 Y3 @ 14.40/2.40 Y6 @ Y5))))))))))))))))))) => 14.40/2.40 (((((!!) @ (^[Y3 : a]: 14.40/2.40 ((('#sk1' @ 14.40/2.40 Y3 @ Y3) => 14.40/2.40 (((((!!) @ ( 14.40/2.40 ^[Y4 : b]: 14.40/2.40 (( 14.40/2.40 (!!) @ ( 14.40/2.40 ^[Y5 : b]: 14.40/2.40 (( 14.40/2.40 (!!) @ ( 14.40/2.40 ^[Y6 : b]: 14.40/2.40 (( 14.40/2.40 (( 14.40/2.40 (Y1 @ 14.40/2.40 Y3 @ 14.40/2.40 Y4 @ 14.40/2.40 Y5) & 14.40/2.40 (Y1 @ 14.40/2.40 Y3 @ 14.40/2.40 Y5 @ Y6))) => 14.40/2.40 (Y1 @ 14.40/2.40 Y3 @ 14.40/2.40 Y4 @ Y6)))))))))))) & 14.40/2.40 (((Y1 @ 14.40/2.40 Y3) = 14.40/2.40 (Y2 @ Y3))) & 14.40/2.40 (((!!) @ ( 14.40/2.40 ^[Y4 : b]: 14.40/2.40 (( 14.40/2.40 (!!) @ ( 14.40/2.40 ^[Y5 : b]: 14.40/2.40 (( 14.40/2.40 (Y1 @ 14.40/2.40 Y3 @ 14.40/2.40 Y4 @ 14.40/2.40 Y5) => 14.40/2.40 (Y1 @ 14.40/2.40 Y3 @ 14.40/2.40 Y5 @ Y4)))))))))))))))) => 14.40/2.40 (((((!!) @ (^[Y3 : a > b]: 14.40/2.40 (((!!) @ ( 14.40/2.40 ^[Y4 : a > b]: 14.40/2.40 (( 14.40/2.40 (( 14.40/2.40 (!!) @ ( 14.40/2.40 ^[Y5 : a]: 14.40/2.40 (( 14.40/2.40 (!!) @ ( 14.40/2.40 ^[Y6 : a]: 14.40/2.40 (( 14.40/2.40 ('#sk1' @ 14.40/2.40 Y5 @ 14.40/2.40 Y6) => 14.40/2.40 (Y1 @ 14.40/2.40 Y5 @ 14.40/2.40 ( 14.40/2.40 Y3 @ Y5) @ 14.40/2.40 ( 14.40/2.40 Y4 @ Y6)))))))))) => 14.40/2.40 (( 14.40/2.40 (!!) @ ( 14.40/2.40 ^[Y5 : a]: 14.40/2.40 (( 14.40/2.40 (!!) @ ( 14.40/2.40 ^[Y6 : a]: 14.40/2.40 (( 14.40/2.40 ('#sk1' @ 14.40/2.40 Y5 @ 14.40/2.40 Y6) => 14.40/2.40 (Y1 @ 14.40/2.40 Y5 @ 14.40/2.40 ( 14.40/2.40 Y4 @ Y5) @ 14.40/2.40 ( 14.40/2.40 Y3 @ Y6)))))))))))))))))) & 14.40/2.40 ((((^[Y3 : a > b, 14.40/2.40 Y4 : a > b]: 14.40/2.40 (((!!) @ (^[Y5 : a]: 14.40/2.40 (( 14.40/2.40 (!!) @ ( 14.40/2.40 ^[Y6 : a]: 14.40/2.40 (( 14.40/2.40 ('#sk1' @ 14.40/2.40 Y5 @ 14.40/2.40 Y6) => 14.40/2.40 (Y1 @ 14.40/2.40 Y5 @ 14.40/2.40 ( 14.40/2.40 Y3 @ Y5) @ 14.40/2.40 ( 14.40/2.40 Y4 @ Y6)))))))))))) = 14.40/2.40 ((^[Y3 : a > b, 14.40/2.40 Y4 : a > b]: 14.40/2.40 (((!!) @ (^[Y5 : a]: 14.40/2.40 (( 14.40/2.40 (!!) @ ( 14.40/2.40 ^[Y6 : a]: 14.40/2.40 (( 14.40/2.40 (Y0 @ 14.40/2.40 Y5 @ 14.40/2.40 Y6) => 14.40/2.40 (Y2 @ 14.40/2.40 Y5 @ 14.40/2.40 ( 14.40/2.40 Y3 @ Y5) @ 14.40/2.40 ( 14.40/2.40 Y4 @ Y6)))))))))))))) & 14.40/2.40 (((!!) @ (^[Y3 : a > b]: 14.40/2.40 (((!!) @ ( 14.40/2.40 ^[Y4 : a > b]: 14.40/2.40 (( 14.40/2.40 (!!) @ ( 14.40/2.40 ^[Y5 : a > b]: 14.40/2.40 (( 14.40/2.40 (( 14.40/2.40 (( 14.40/2.40 (!!) @ ( 14.40/2.40 ^[Y6 : a]: 14.40/2.40 (( 14.40/2.40 (!!) @ ( 14.40/2.40 ^[Y7 : a]: 14.40/2.40 (( 14.40/2.40 ('#sk1' @ 14.40/2.40 Y6 @ 14.40/2.40 Y7) => 14.40/2.40 (Y1 @ 14.40/2.40 Y6 @ 14.40/2.40 ( 14.40/2.40 Y3 @ Y6) @ 14.40/2.40 ( 14.40/2.40 Y4 @ Y7)))))))))) & 14.40/2.40 (( 14.40/2.40 (!!) @ ( 14.40/2.40 ^[Y6 : a]: 14.40/2.40 (( 14.40/2.40 (!!) @ ( 14.40/2.40 ^[Y7 : a]: 14.40/2.40 (( 14.40/2.40 ('#sk1' @ 14.40/2.40 Y6 @ 14.40/2.40 Y7) => 14.40/2.40 (Y1 @ 14.40/2.40 Y6 @ 14.40/2.40 ( 14.40/2.40 Y4 @ Y6) @ 14.40/2.40 ( 14.40/2.40 Y5 @ Y7)))))))))))) => 14.40/2.40 (( 14.40/2.40 (!!) @ ( 14.40/2.40 ^[Y6 : a]: 14.40/2.40 (( 14.40/2.40 (!!) @ ( 14.40/2.40 ^[Y7 : a]: 14.40/2.40 (( 14.40/2.40 ('#sk1' @ 14.40/2.40 Y6 @ 14.40/2.40 Y7) => 14.40/2.40 (Y1 @ 14.40/2.40 Y6 @ 14.40/2.40 ( 14.40/2.40 Y3 @ Y6) @ 14.40/2.40 ( 14.40/2.40 Y5 @ Y7))))))))))))))))))))))))))))))))))))))), 14.40/2.40 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl0])). 14.40/2.40 thf(zip_derived_cl2, plain, 14.40/2.40 (~ (((!!) @ (^[Y0 : a > b > b > $o]: 14.40/2.40 (((!!) @ (^[Y1 : a > b > b > $o]: 14.40/2.40 (((((((!!) @ (^[Y2 : a]: 14.40/2.40 (((!!) @ (^[Y3 : a]: 14.40/2.40 ((('#sk1' @ Y2 @ 14.40/2.40 Y3) => 14.40/2.40 ('#sk1' @ Y3 @ 14.40/2.40 Y2))))))))) & 14.40/2.40 (((!!) @ (^[Y2 : a]: 14.40/2.40 (((!!) @ (^[Y3 : a]: 14.40/2.40 (((!!) @ ( 14.40/2.40 ^[Y4 : a]: 14.40/2.40 ((((('#sk1' @ 14.40/2.40 Y2 @ Y3) & 14.40/2.40 ('#sk1' @ 14.40/2.40 Y3 @ Y4))) => 14.40/2.40 ('#sk1' @ 14.40/2.40 Y2 @ Y4)))))))))))) & 14.40/2.40 ((('#sk1') = ('#sk2'))))) => 14.40/2.40 (((((!!) @ (^[Y2 : a]: 14.40/2.40 (((!!) @ (^[Y3 : a]: 14.40/2.40 ((('#sk1' @ Y2 @ 14.40/2.40 Y3) => 14.40/2.40 (((((!!) @ ( 14.40/2.40 ^[Y4 : b]: 14.40/2.40 (( 14.40/2.40 (!!) @ ( 14.40/2.40 ^[Y5 : b]: 14.40/2.40 (( 14.40/2.40 (!!) @ ( 14.40/2.40 ^[Y6 : b]: 14.40/2.40 (( 14.40/2.40 (( 14.40/2.40 (Y0 @ 14.40/2.40 Y2 @ 14.40/2.40 Y4 @ 14.40/2.40 Y5) & 14.40/2.40 (Y0 @ 14.40/2.40 Y2 @ 14.40/2.40 Y5 @ Y6))) => 14.40/2.40 (Y0 @ 14.40/2.40 Y2 @ 14.40/2.40 Y4 @ Y6)))))))))))) & 14.40/2.40 (((Y0 @ Y2) = 14.40/2.40 (Y0 @ Y3))) & 14.40/2.40 (((!!) @ ( 14.40/2.40 ^[Y4 : b]: 14.40/2.40 (( 14.40/2.40 (!!) @ ( 14.40/2.40 ^[Y5 : b]: 14.40/2.40 (( 14.40/2.40 (Y0 @ 14.40/2.40 Y2 @ 14.40/2.40 Y4 @ 14.40/2.40 Y5) => 14.40/2.40 (Y0 @ 14.40/2.40 Y2 @ 14.40/2.40 Y5 @ Y4))))))))))))))))))) => 14.40/2.40 (((((!!) @ (^[Y2 : a]: 14.40/2.40 ((('#sk1' @ Y2 @ Y2) => 14.40/2.40 (((((!!) @ (^[Y3 : b]: 14.40/2.40 (((!!) @ ( 14.40/2.40 ^[Y4 : b]: 14.40/2.40 (( 14.40/2.40 (!!) @ ( 14.40/2.40 ^[Y5 : b]: 14.40/2.40 (( 14.40/2.40 (( 14.40/2.40 (Y0 @ 14.40/2.40 Y2 @ 14.40/2.40 Y3 @ 14.40/2.40 Y4) & 14.40/2.40 (Y0 @ 14.40/2.40 Y2 @ 14.40/2.40 Y4 @ Y5))) => 14.40/2.40 (Y0 @ 14.40/2.40 Y2 @ 14.40/2.40 Y3 @ Y5)))))))))))) & 14.40/2.40 (((Y0 @ Y2) = (Y1 @ Y2))) & 14.40/2.40 (((!!) @ (^[Y3 : b]: 14.40/2.40 (((!!) @ ( 14.40/2.40 ^[Y4 : b]: 14.40/2.40 (( 14.40/2.40 (Y0 @ 14.40/2.40 Y2 @ 14.40/2.40 Y3 @ 14.40/2.40 Y4) => 14.40/2.40 (Y0 @ 14.40/2.40 Y2 @ 14.40/2.40 Y4 @ Y3)))))))))))))))) => 14.40/2.40 (((((!!) @ (^[Y2 : a > b]: 14.40/2.40 (((!!) @ (^[Y3 : a > b]: 14.40/2.40 (((((!!) @ ( 14.40/2.40 ^[Y4 : a]: 14.40/2.40 (( 14.40/2.40 (!!) @ ( 14.40/2.40 ^[Y5 : a]: 14.40/2.40 (( 14.40/2.40 ('#sk1' @ 14.40/2.40 Y4 @ 14.40/2.40 Y5) => 14.40/2.40 (Y0 @ 14.40/2.40 Y4 @ 14.40/2.40 ( 14.40/2.40 Y2 @ Y4) @ 14.40/2.40 ( 14.40/2.40 Y3 @ Y5)))))))))) => 14.40/2.40 (((!!) @ ( 14.40/2.40 ^[Y4 : a]: 14.40/2.40 (( 14.40/2.40 (!!) @ ( 14.40/2.40 ^[Y5 : a]: 14.40/2.40 (( 14.40/2.40 ('#sk1' @ 14.40/2.40 Y4 @ 14.40/2.40 Y5) => 14.40/2.40 (Y0 @ 14.40/2.40 Y4 @ 14.40/2.40 ( 14.40/2.40 Y3 @ Y4) @ 14.40/2.40 ( 14.40/2.40 Y2 @ Y5)))))))))))))))))) & 14.40/2.40 ((((^[Y2 : a > b,Y3 : a > b]: 14.40/2.40 (((!!) @ (^[Y4 : a]: 14.40/2.40 (((!!) @ (^[Y5 : a]: 14.40/2.40 (( 14.40/2.40 ('#sk1' @ 14.40/2.40 Y4 @ 14.40/2.40 Y5) => 14.40/2.40 (Y0 @ 14.40/2.40 Y4 @ 14.40/2.40 ( 14.40/2.40 Y2 @ Y4) @ 14.40/2.40 ( 14.40/2.40 Y3 @ Y5)))))))))))) = 14.40/2.40 ((^[Y2 : a > b,Y3 : a > b]: 14.40/2.40 (((!!) @ (^[Y4 : a]: 14.40/2.40 (((!!) @ (^[Y5 : a]: 14.40/2.40 (( 14.40/2.40 ('#sk2' @ 14.40/2.40 Y4 @ 14.40/2.40 Y5) => 14.40/2.40 (Y1 @ 14.40/2.40 Y4 @ 14.40/2.40 ( 14.40/2.40 Y2 @ Y4) @ 14.40/2.40 ( 14.40/2.40 Y3 @ Y5)))))))))))))) & 14.40/2.40 (((!!) @ (^[Y2 : a > b]: 14.40/2.40 (((!!) @ (^[Y3 : a > b]: 14.40/2.40 (((!!) @ ( 14.40/2.40 ^[Y4 : a > b]: 14.40/2.40 (( 14.40/2.40 (( 14.40/2.40 (( 14.40/2.40 (!!) @ ( 14.40/2.40 ^[Y5 : a]: 14.40/2.40 (( 14.40/2.40 (!!) @ ( 14.40/2.40 ^[Y6 : a]: 14.40/2.40 (( 14.40/2.40 ('#sk1' @ 14.40/2.40 Y5 @ 14.40/2.40 Y6) => 14.40/2.40 (Y0 @ 14.40/2.40 Y5 @ 14.40/2.40 ( 14.40/2.40 Y2 @ Y5) @ 14.40/2.40 ( 14.40/2.40 Y3 @ Y6)))))))))) & 14.40/2.40 (( 14.40/2.40 (!!) @ ( 14.40/2.40 ^[Y5 : a]: 14.40/2.40 (( 14.40/2.40 (!!) @ ( 14.40/2.40 ^[Y6 : a]: 14.40/2.40 (( 14.40/2.40 ('#sk1' @ 14.40/2.40 Y5 @ 14.40/2.40 Y6) => 14.40/2.40 (Y0 @ 14.40/2.40 Y5 @ 14.40/2.40 ( 14.40/2.40 Y3 @ Y5) @ 14.40/2.40 ( 14.40/2.40 Y4 @ Y6)))))))))))) => 14.40/2.40 (( 14.40/2.40 (!!) @ ( 14.40/2.40 ^[Y5 : a]: 14.40/2.40 (( 14.40/2.40 (!!) @ ( 14.40/2.40 ^[Y6 : a]: 14.40/2.40 (( 14.40/2.40 ('#sk1' @ 14.40/2.40 Y5 @ 14.40/2.40 Y6) => 14.40/2.40 (Y0 @ 14.40/2.40 Y5 @ 14.40/2.40 ( 14.40/2.40 Y2 @ Y5) @ 14.40/2.40 ( 14.40/2.40 Y4 @ Y6)))))))))))))))))))))))))))))))))))), 14.40/2.40 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl1])). 14.40/2.40 thf(zip_derived_cl3, plain, 14.40/2.40 (~ (((!!) @ (^[Y0 : a > b > b > $o]: 14.40/2.40 (((((((!!) @ (^[Y1 : a]: 14.40/2.40 (((!!) @ (^[Y2 : a]: 14.40/2.40 ((('#sk1' @ Y1 @ Y2) => 14.40/2.40 ('#sk1' @ Y2 @ Y1))))))))) & 14.40/2.40 (((!!) @ (^[Y1 : a]: 14.40/2.40 (((!!) @ (^[Y2 : a]: 14.40/2.40 (((!!) @ (^[Y3 : a]: 14.40/2.40 ((((('#sk1' @ 14.40/2.40 Y1 @ Y2) & 14.40/2.40 ('#sk1' @ 14.40/2.40 Y2 @ Y3))) => 14.40/2.40 ('#sk1' @ Y1 @ 14.40/2.40 Y3)))))))))))) & 14.40/2.40 ((('#sk1') = ('#sk2'))))) => 14.40/2.40 (((((!!) @ (^[Y1 : a]: 14.40/2.40 (((!!) @ (^[Y2 : a]: 14.40/2.40 ((('#sk1' @ Y1 @ Y2) => 14.40/2.40 (((((!!) @ (^[Y3 : b]: 14.40/2.40 (((!!) @ ( 14.40/2.40 ^[Y4 : b]: 14.40/2.40 (( 14.40/2.40 (!!) @ ( 14.40/2.40 ^[Y5 : b]: 14.40/2.40 (( 14.40/2.40 (( 14.40/2.40 ('#sk3' @ 14.40/2.40 Y1 @ 14.40/2.40 Y3 @ 14.40/2.40 Y4) & 14.40/2.40 ('#sk3' @ 14.40/2.40 Y1 @ 14.40/2.40 Y4 @ Y5))) => 14.40/2.40 ('#sk3' @ 14.40/2.40 Y1 @ 14.40/2.40 Y3 @ Y5)))))))))))) & 14.40/2.40 ((('#sk3' @ Y1) = 14.40/2.40 ('#sk3' @ Y2))) & 14.40/2.40 (((!!) @ (^[Y3 : b]: 14.40/2.40 (((!!) @ ( 14.40/2.40 ^[Y4 : b]: 14.40/2.40 (( 14.40/2.40 ('#sk3' @ 14.40/2.40 Y1 @ 14.40/2.40 Y3 @ 14.40/2.40 Y4) => 14.40/2.40 ('#sk3' @ 14.40/2.40 Y1 @ 14.40/2.40 Y4 @ Y3))))))))))))))))))) => 14.40/2.40 (((((!!) @ (^[Y1 : a]: 14.40/2.40 ((('#sk1' @ Y1 @ Y1) => 14.40/2.40 (((((!!) @ (^[Y2 : b]: 14.40/2.40 (((!!) @ (^[Y3 : b]: 14.40/2.40 (((!!) @ ( 14.40/2.40 ^[Y4 : b]: 14.40/2.40 (( 14.40/2.40 (( 14.40/2.40 ('#sk3' @ 14.40/2.40 Y1 @ 14.40/2.40 Y2 @ 14.40/2.40 Y3) & 14.40/2.40 ('#sk3' @ 14.40/2.40 Y1 @ 14.40/2.40 Y3 @ Y4))) => 14.40/2.40 ('#sk3' @ 14.40/2.40 Y1 @ 14.40/2.40 Y2 @ Y4)))))))))))) & 14.40/2.40 ((('#sk3' @ Y1) = (Y0 @ Y1))) & 14.40/2.40 (((!!) @ (^[Y2 : b]: 14.40/2.40 (((!!) @ (^[Y3 : b]: 14.40/2.40 ((('#sk3' @ 14.40/2.40 Y1 @ Y2 @ 14.40/2.40 Y3) => 14.40/2.40 ('#sk3' @ 14.40/2.40 Y1 @ Y3 @ 14.40/2.40 Y2)))))))))))))))) => 14.40/2.40 (((((!!) @ (^[Y1 : a > b]: 14.40/2.40 (((!!) @ (^[Y2 : a > b]: 14.40/2.40 (((((!!) @ (^[Y3 : a]: 14.40/2.40 (((!!) @ ( 14.40/2.40 ^[Y4 : a]: 14.40/2.40 (( 14.40/2.40 ('#sk1' @ 14.40/2.40 Y3 @ 14.40/2.40 Y4) => 14.40/2.40 ('#sk3' @ 14.40/2.40 Y3 @ 14.40/2.40 ( 14.40/2.40 Y1 @ Y3) @ 14.40/2.40 ( 14.40/2.40 Y2 @ Y4)))))))))) => 14.40/2.40 (((!!) @ (^[Y3 : a]: 14.40/2.40 (((!!) @ ( 14.40/2.40 ^[Y4 : a]: 14.40/2.40 (( 14.40/2.40 ('#sk1' @ 14.40/2.40 Y3 @ 14.40/2.40 Y4) => 14.40/2.40 ('#sk3' @ 14.40/2.40 Y3 @ 14.40/2.40 ( 14.40/2.40 Y2 @ Y3) @ 14.40/2.40 ( 14.40/2.40 Y1 @ Y4)))))))))))))))))) & 14.40/2.40 ((((^[Y1 : a > b,Y2 : a > b]: 14.40/2.40 (((!!) @ (^[Y3 : a]: 14.40/2.40 (((!!) @ (^[Y4 : a]: 14.40/2.40 ((('#sk1' @ Y3 @ 14.40/2.40 Y4) => ('#sk3' @ 14.40/2.40 Y3 @ (Y1 @ Y3) @ 14.40/2.40 (Y2 @ Y4)))))))))))) = 14.40/2.40 ((^[Y1 : a > b,Y2 : a > b]: 14.40/2.40 (((!!) @ (^[Y3 : a]: 14.40/2.40 (((!!) @ (^[Y4 : a]: 14.40/2.40 ((('#sk2' @ Y3 @ 14.40/2.40 Y4) => (Y0 @ Y3 @ 14.40/2.40 (Y1 @ Y3) @ 14.40/2.40 (Y2 @ Y4)))))))))))))) & 14.40/2.40 (((!!) @ (^[Y1 : a > b]: 14.40/2.40 (((!!) @ (^[Y2 : a > b]: 14.40/2.40 (((!!) @ (^[Y3 : a > b]: 14.40/2.40 (((((( 14.40/2.40 (!!) @ ( 14.40/2.40 ^[Y4 : a]: 14.40/2.40 (( 14.40/2.40 (!!) @ ( 14.40/2.40 ^[Y5 : a]: 14.40/2.40 (( 14.40/2.40 ('#sk1' @ 14.40/2.40 Y4 @ 14.40/2.40 Y5) => 14.40/2.40 ('#sk3' @ 14.40/2.40 Y4 @ 14.40/2.40 ( 14.40/2.40 Y1 @ Y4) @ 14.40/2.40 ( 14.40/2.40 Y2 @ Y5)))))))))) & 14.40/2.40 (( 14.40/2.40 (!!) @ ( 14.40/2.40 ^[Y4 : a]: 14.40/2.40 (( 14.40/2.40 (!!) @ ( 14.40/2.40 ^[Y5 : a]: 14.40/2.40 (( 14.40/2.40 ('#sk1' @ 14.40/2.40 Y4 @ 14.40/2.40 Y5) => 14.40/2.40 ('#sk3' @ 14.40/2.40 Y4 @ 14.40/2.40 ( 14.40/2.40 Y2 @ Y4) @ 14.40/2.40 ( 14.40/2.40 Y3 @ Y5)))))))))))) => 14.40/2.40 (((!!) @ ( 14.40/2.40 ^[Y4 : a]: 14.40/2.40 (( 14.40/2.40 (!!) @ ( 14.40/2.40 ^[Y5 : a]: 14.40/2.40 (( 14.40/2.40 ('#sk1' @ 14.40/2.40 Y4 @ 14.40/2.40 Y5) => 14.40/2.40 ('#sk3' @ 14.40/2.40 Y4 @ 14.40/2.40 ( 14.40/2.40 Y1 @ Y4) @ 14.40/2.40 ( 14.40/2.40 Y3 @ Y5))))))))))))))))))))))))))))))))), 14.40/2.40 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl2])). 14.40/2.40 thf(zip_derived_cl4, plain, 14.40/2.40 (~ (((((((!!) @ (^[Y0 : a]: 14.40/2.40 (((!!) @ (^[Y1 : a]: 14.40/2.40 ((('#sk1' @ Y0 @ Y1) => ('#sk1' @ Y1 @ Y0))))))))) & 14.40/2.40 (((!!) @ (^[Y0 : a]: 14.40/2.40 (((!!) @ (^[Y1 : a]: 14.40/2.40 (((!!) @ (^[Y2 : a]: 14.40/2.40 ((((('#sk1' @ Y0 @ Y1) & 14.40/2.40 ('#sk1' @ Y1 @ Y2))) => 14.40/2.40 ('#sk1' @ Y0 @ Y2)))))))))))) & 14.40/2.40 ((('#sk1') = ('#sk2'))))) => 14.40/2.40 (((((!!) @ (^[Y0 : a]: 14.40/2.40 (((!!) @ (^[Y1 : a]: 14.40/2.40 ((('#sk1' @ Y0 @ Y1) => 14.40/2.40 (((((!!) @ (^[Y2 : b]: 14.40/2.40 (((!!) @ (^[Y3 : b]: 14.40/2.40 (((!!) @ ( 14.40/2.40 ^[Y4 : b]: 14.40/2.40 (( 14.40/2.40 (( 14.40/2.40 ('#sk3' @ 14.40/2.40 Y0 @ 14.40/2.40 Y2 @ 14.40/2.40 Y3) & 14.40/2.40 ('#sk3' @ 14.40/2.40 Y0 @ 14.40/2.40 Y3 @ Y4))) => 14.40/2.40 ('#sk3' @ 14.40/2.40 Y0 @ 14.40/2.40 Y2 @ Y4)))))))))))) & 14.40/2.40 ((('#sk3' @ Y0) = ('#sk3' @ Y1))) & 14.40/2.40 (((!!) @ (^[Y2 : b]: 14.40/2.40 (((!!) @ (^[Y3 : b]: 14.40/2.40 ((('#sk3' @ 14.40/2.40 Y0 @ Y2 @ 14.40/2.40 Y3) => 14.40/2.40 ('#sk3' @ 14.40/2.40 Y0 @ Y3 @ 14.40/2.40 Y2))))))))))))))))))) => 14.40/2.40 (((((!!) @ (^[Y0 : a]: 14.40/2.40 ((('#sk1' @ Y0 @ Y0) => 14.40/2.40 (((((!!) @ (^[Y1 : b]: 14.40/2.40 (((!!) @ (^[Y2 : b]: 14.40/2.40 (((!!) @ (^[Y3 : b]: 14.40/2.40 (((( 14.40/2.40 ('#sk3' @ 14.40/2.40 Y0 @ Y1 @ 14.40/2.40 Y2) & 14.40/2.40 ('#sk3' @ 14.40/2.40 Y0 @ Y2 @ 14.40/2.40 Y3))) => 14.40/2.40 ('#sk3' @ 14.40/2.40 Y0 @ Y1 @ 14.40/2.40 Y3)))))))))))) & 14.40/2.40 ((('#sk3' @ Y0) = ('#sk4' @ Y0))) & 14.40/2.40 (((!!) @ (^[Y1 : b]: 14.40/2.40 (((!!) @ (^[Y2 : b]: 14.40/2.40 ((('#sk3' @ Y0 @ Y1 @ 14.40/2.40 Y2) => ('#sk3' @ Y0 @ 14.40/2.40 Y2 @ Y1)))))))))))))))) => 14.40/2.40 (((((!!) @ (^[Y0 : a > b]: 14.40/2.40 (((!!) @ (^[Y1 : a > b]: 14.40/2.40 (((((!!) @ (^[Y2 : a]: 14.40/2.40 (((!!) @ (^[Y3 : a]: 14.40/2.40 ((('#sk1' @ 14.40/2.40 Y2 @ 14.40/2.40 Y3) => 14.40/2.40 ('#sk3' @ 14.40/2.40 Y2 @ 14.40/2.40 (Y0 @ Y2) @ 14.40/2.40 (Y1 @ Y3)))))))))) => 14.40/2.40 (((!!) @ (^[Y2 : a]: 14.40/2.40 (((!!) @ (^[Y3 : a]: 14.40/2.40 ((('#sk1' @ 14.40/2.40 Y2 @ 14.40/2.40 Y3) => 14.40/2.40 ('#sk3' @ 14.40/2.40 Y2 @ 14.40/2.40 (Y1 @ Y2) @ 14.40/2.40 (Y0 @ Y3)))))))))))))))))) & 14.40/2.40 ((((^[Y0 : a > b,Y1 : a > b]: 14.40/2.40 (((!!) @ (^[Y2 : a]: 14.40/2.40 (((!!) @ (^[Y3 : a]: 14.40/2.40 ((('#sk1' @ Y2 @ Y3) => 14.40/2.40 ('#sk3' @ Y2 @ (Y0 @ Y2) @ 14.40/2.40 (Y1 @ Y3)))))))))))) = 14.40/2.40 ((^[Y0 : a > b,Y1 : a > b]: 14.40/2.40 (((!!) @ (^[Y2 : a]: 14.40/2.40 (((!!) @ (^[Y3 : a]: 14.40/2.40 ((('#sk2' @ Y2 @ Y3) => 14.40/2.40 ('#sk4' @ Y2 @ (Y0 @ Y2) @ 14.40/2.40 (Y1 @ Y3)))))))))))))) & 14.40/2.40 (((!!) @ (^[Y0 : a > b]: 14.40/2.40 (((!!) @ (^[Y1 : a > b]: 14.40/2.40 (((!!) @ (^[Y2 : a > b]: 14.40/2.40 (((((((!!) @ (^[Y3 : a]: 14.40/2.40 (( 14.40/2.40 (!!) @ ( 14.40/2.40 ^[Y4 : a]: 14.40/2.40 (( 14.40/2.40 ('#sk1' @ 14.40/2.40 Y3 @ 14.40/2.40 Y4) => 14.40/2.40 ('#sk3' @ 14.40/2.40 Y3 @ 14.40/2.40 ( 14.40/2.40 Y0 @ Y3) @ 14.40/2.40 ( 14.40/2.40 Y1 @ Y4)))))))))) & 14.40/2.40 (((!!) @ (^[Y3 : a]: 14.40/2.40 (( 14.40/2.40 (!!) @ ( 14.40/2.40 ^[Y4 : a]: 14.40/2.40 (( 14.40/2.40 ('#sk1' @ 14.40/2.40 Y3 @ 14.40/2.40 Y4) => 14.40/2.40 ('#sk3' @ 14.40/2.40 Y3 @ 14.40/2.40 ( 14.40/2.40 Y1 @ Y3) @ 14.40/2.40 ( 14.40/2.40 Y2 @ Y4)))))))))))) => 14.40/2.40 (((!!) @ (^[Y3 : a]: 14.40/2.40 (((!!) @ ( 14.40/2.40 ^[Y4 : a]: 14.40/2.40 (( 14.40/2.40 ('#sk1' @ 14.40/2.40 Y3 @ 14.40/2.40 Y4) => 14.40/2.40 ('#sk3' @ 14.40/2.40 Y3 @ 14.40/2.40 ( 14.40/2.40 Y0 @ Y3) @ 14.40/2.40 ( 14.40/2.40 Y2 @ Y4)))))))))))))))))))))))))))))), 14.40/2.40 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl3])). 14.40/2.40 thf(zip_derived_cl6, plain, 14.40/2.40 (~ (((((!!) @ (^[Y0 : a]: 14.40/2.40 (((!!) @ (^[Y1 : a]: 14.40/2.40 ((('#sk1' @ Y0 @ Y1) => 14.40/2.40 (((((!!) @ (^[Y2 : b]: 14.40/2.40 (((!!) @ (^[Y3 : b]: 14.40/2.40 (((!!) @ ( 14.40/2.40 ^[Y4 : b]: 14.40/2.40 (((( 14.40/2.40 ('#sk3' @ 14.40/2.40 Y0 @ Y2 @ 14.40/2.40 Y3) & 14.40/2.40 ('#sk3' @ 14.40/2.40 Y0 @ Y3 @ 14.40/2.40 Y4))) => 14.40/2.40 ('#sk3' @ 14.40/2.40 Y0 @ Y2 @ 14.40/2.40 Y4)))))))))))) & 14.40/2.40 ((('#sk3' @ Y0) = ('#sk3' @ Y1))) & 14.40/2.40 (((!!) @ (^[Y2 : b]: 14.40/2.40 (((!!) @ (^[Y3 : b]: 14.40/2.40 ((('#sk3' @ 14.40/2.40 Y0 @ Y2 @ 14.40/2.40 Y3) => 14.40/2.40 ('#sk3' @ 14.40/2.40 Y0 @ Y3 @ Y2))))))))))))))))))) => 14.40/2.40 (((((!!) @ (^[Y0 : a]: 14.40/2.40 ((('#sk1' @ Y0 @ Y0) => 14.40/2.40 (((((!!) @ (^[Y1 : b]: 14.40/2.40 (((!!) @ (^[Y2 : b]: 14.40/2.40 (((!!) @ (^[Y3 : b]: 14.40/2.40 ((((('#sk3' @ 14.40/2.40 Y0 @ Y1 @ 14.40/2.40 Y2) & 14.40/2.40 ('#sk3' @ 14.40/2.40 Y0 @ Y2 @ 14.40/2.40 Y3))) => 14.40/2.40 ('#sk3' @ 14.40/2.40 Y0 @ Y1 @ 14.40/2.40 Y3)))))))))))) & 14.40/2.40 ((('#sk3' @ Y0) = ('#sk4' @ Y0))) & 14.40/2.40 (((!!) @ (^[Y1 : b]: 14.40/2.40 (((!!) @ (^[Y2 : b]: 14.40/2.40 ((('#sk3' @ Y0 @ Y1 @ 14.40/2.40 Y2) => ('#sk3' @ Y0 @ 14.40/2.40 Y2 @ Y1)))))))))))))))) => 14.40/2.40 (((((!!) @ (^[Y0 : a > b]: 14.40/2.40 (((!!) @ (^[Y1 : a > b]: 14.40/2.40 (((((!!) @ (^[Y2 : a]: 14.40/2.40 (((!!) @ (^[Y3 : a]: 14.40/2.40 ((('#sk1' @ 14.40/2.40 Y2 @ Y3) => 14.40/2.40 ('#sk3' @ 14.40/2.40 Y2 @ 14.40/2.40 (Y0 @ Y2) @ 14.40/2.40 (Y1 @ Y3)))))))))) => 14.40/2.40 (((!!) @ (^[Y2 : a]: 14.40/2.40 (((!!) @ (^[Y3 : a]: 14.40/2.40 ((('#sk1' @ 14.40/2.40 Y2 @ Y3) => 14.40/2.40 ('#sk3' @ 14.40/2.40 Y2 @ 14.40/2.40 (Y1 @ Y2) @ 14.40/2.40 (Y0 @ Y3)))))))))))))))))) & 14.40/2.40 ((((^[Y0 : a > b,Y1 : a > b]: 14.40/2.40 (((!!) @ (^[Y2 : a]: 14.40/2.40 (((!!) @ (^[Y3 : a]: 14.40/2.40 ((('#sk1' @ Y2 @ Y3) => ('#sk3' @ 14.40/2.40 Y2 @ (Y0 @ Y2) @ (Y1 @ Y3)))))))))))) = 14.40/2.40 ((^[Y0 : a > b,Y1 : a > b]: 14.40/2.40 (((!!) @ (^[Y2 : a]: 14.40/2.40 (((!!) @ (^[Y3 : a]: 14.40/2.40 ((('#sk2' @ Y2 @ Y3) => ('#sk4' @ 14.40/2.40 Y2 @ (Y0 @ Y2) @ (Y1 @ Y3)))))))))))))) & 14.40/2.40 (((!!) @ (^[Y0 : a > b]: 14.40/2.40 (((!!) @ (^[Y1 : a > b]: 14.40/2.40 (((!!) @ (^[Y2 : a > b]: 14.40/2.40 (((((((!!) @ (^[Y3 : a]: 14.40/2.40 (((!!) @ ( 14.40/2.40 ^[Y4 : a]: 14.40/2.40 (( 14.40/2.40 ('#sk1' @ 14.40/2.40 Y3 @ 14.40/2.40 Y4) => 14.40/2.40 ('#sk3' @ 14.40/2.40 Y3 @ 14.40/2.40 ( 14.40/2.40 Y0 @ Y3) @ 14.40/2.40 ( 14.40/2.40 Y1 @ Y4)))))))))) & 14.40/2.40 (((!!) @ (^[Y3 : a]: 14.40/2.40 (((!!) @ ( 14.40/2.40 ^[Y4 : a]: 14.40/2.40 (( 14.40/2.40 ('#sk1' @ 14.40/2.40 Y3 @ 14.40/2.40 Y4) => 14.40/2.40 ('#sk3' @ 14.40/2.40 Y3 @ 14.40/2.40 ( 14.40/2.40 Y1 @ Y3) @ 14.40/2.40 ( 14.40/2.40 Y2 @ Y4)))))))))))) => 14.40/2.40 (((!!) @ (^[Y3 : a]: 14.40/2.40 (((!!) @ ( 14.40/2.40 ^[Y4 : a]: 14.40/2.40 (( 14.40/2.40 ('#sk1' @ 14.40/2.40 Y3 @ 14.40/2.40 Y4) => 14.40/2.40 ('#sk3' @ 14.40/2.40 Y3 @ 14.40/2.40 ( 14.40/2.40 Y0 @ Y3) @ 14.40/2.40 ( 14.40/2.40 Y2 @ Y4)))))))))))))))))))))))))))), 14.40/2.40 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl4])). 14.40/2.40 thf(zip_derived_cl11, plain, 14.40/2.40 (~ (((((!!) @ (^[Y0 : a]: 14.40/2.40 ((('#sk1' @ Y0 @ Y0) => 14.40/2.40 (((((!!) @ (^[Y1 : b]: 14.40/2.40 (((!!) @ (^[Y2 : b]: 14.40/2.40 (((!!) @ (^[Y3 : b]: 14.40/2.40 ((((('#sk3' @ 14.40/2.40 Y0 @ Y1 @ 14.40/2.40 Y2) & 14.40/2.40 ('#sk3' @ 14.40/2.40 Y0 @ Y2 @ 14.40/2.40 Y3))) => 14.40/2.40 ('#sk3' @ 14.40/2.40 Y0 @ Y1 @ Y3)))))))))))) & 14.40/2.40 ((('#sk3' @ Y0) = ('#sk4' @ Y0))) & 14.40/2.40 (((!!) @ (^[Y1 : b]: 14.40/2.40 (((!!) @ (^[Y2 : b]: 14.40/2.40 ((('#sk3' @ Y0 @ Y1 @ Y2) => 14.40/2.40 ('#sk3' @ Y0 @ Y2 @ Y1)))))))))))))))) => 14.40/2.40 (((((!!) @ (^[Y0 : a > b]: 14.40/2.40 (((!!) @ (^[Y1 : a > b]: 14.40/2.40 (((((!!) @ (^[Y2 : a]: 14.40/2.40 (((!!) @ (^[Y3 : a]: 14.40/2.40 ((('#sk1' @ 14.40/2.40 Y2 @ Y3) => 14.40/2.40 ('#sk3' @ 14.40/2.40 Y2 @ 14.40/2.40 (Y0 @ Y2) @ 14.40/2.40 (Y1 @ Y3)))))))))) => 14.40/2.40 (((!!) @ (^[Y2 : a]: 14.40/2.40 (((!!) @ (^[Y3 : a]: 14.40/2.40 ((('#sk1' @ 14.40/2.40 Y2 @ Y3) => 14.40/2.40 ('#sk3' @ 14.40/2.40 Y2 @ 14.40/2.40 (Y1 @ Y2) @ 14.40/2.40 (Y0 @ Y3)))))))))))))))))) & 14.40/2.40 ((((^[Y0 : a > b,Y1 : a > b]: 14.40/2.40 (((!!) @ (^[Y2 : a]: 14.40/2.40 (((!!) @ (^[Y3 : a]: 14.40/2.40 ((('#sk1' @ Y2 @ Y3) => ('#sk3' @ 14.40/2.40 Y2 @ (Y0 @ Y2) @ (Y1 @ Y3)))))))))))) = 14.40/2.40 ((^[Y0 : a > b,Y1 : a > b]: 14.40/2.40 (((!!) @ (^[Y2 : a]: 14.40/2.40 (((!!) @ (^[Y3 : a]: 14.40/2.40 ((('#sk2' @ Y2 @ Y3) => ('#sk4' @ 14.40/2.40 Y2 @ (Y0 @ Y2) @ (Y1 @ Y3)))))))))))))) & 14.40/2.40 (((!!) @ (^[Y0 : a > b]: 14.40/2.40 (((!!) @ (^[Y1 : a > b]: 14.40/2.40 (((!!) @ (^[Y2 : a > b]: 14.40/2.40 (((((((!!) @ (^[Y3 : a]: 14.40/2.40 (((!!) @ ( 14.40/2.40 ^[Y4 : a]: 14.40/2.40 (( 14.40/2.40 ('#sk1' @ 14.40/2.40 Y3 @ 14.40/2.40 Y4) => 14.40/2.40 ('#sk3' @ 14.40/2.40 Y3 @ 14.40/2.40 ( 14.40/2.40 Y0 @ Y3) @ 14.40/2.40 ( 14.40/2.40 Y1 @ Y4)))))))))) & 14.40/2.40 (((!!) @ (^[Y3 : a]: 14.40/2.40 (((!!) @ ( 14.40/2.40 ^[Y4 : a]: 14.40/2.40 (( 14.40/2.40 ('#sk1' @ 14.40/2.40 Y3 @ 14.40/2.40 Y4) => 14.40/2.40 ('#sk3' @ 14.40/2.40 Y3 @ 14.40/2.40 ( 14.40/2.40 Y1 @ Y3) @ 14.40/2.40 ( 14.40/2.40 Y2 @ Y4)))))))))))) => 14.40/2.40 (((!!) @ (^[Y3 : a]: 14.40/2.40 (((!!) @ ( 14.40/2.40 ^[Y4 : a]: 14.40/2.40 ((('#sk1' @ 14.40/2.40 Y3 @ 14.40/2.40 Y4) => 14.40/2.40 ('#sk3' @ 14.40/2.40 Y3 @ 14.40/2.40 (Y0 @ Y3) @ 14.40/2.40 (Y2 @ Y4)))))))))))))))))))))))))), 14.40/2.40 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl6])). 14.40/2.40 thf(zip_derived_cl18, plain, 14.40/2.40 (~ (((((!!) @ (^[Y0 : a > b]: 14.40/2.40 (((!!) @ (^[Y1 : a > b]: 14.40/2.40 (((((!!) @ (^[Y2 : a]: 14.40/2.40 (((!!) @ (^[Y3 : a]: 14.40/2.40 ((('#sk1' @ Y2 @ 14.40/2.40 Y3) => 14.40/2.40 ('#sk3' @ Y2 @ 14.40/2.40 (Y0 @ Y2) @ 14.40/2.40 (Y1 @ Y3)))))))))) => 14.40/2.40 (((!!) @ (^[Y2 : a]: 14.40/2.40 (((!!) @ (^[Y3 : a]: 14.40/2.40 ((('#sk1' @ Y2 @ 14.40/2.40 Y3) => 14.40/2.40 ('#sk3' @ Y2 @ 14.40/2.40 (Y1 @ Y2) @ 14.40/2.40 (Y0 @ Y3)))))))))))))))))) & 14.40/2.40 ((((^[Y0 : a > b,Y1 : a > b]: 14.40/2.40 (((!!) @ (^[Y2 : a]: 14.40/2.40 (((!!) @ (^[Y3 : a]: 14.40/2.40 ((('#sk1' @ Y2 @ Y3) => ('#sk3' @ 14.40/2.40 Y2 @ (Y0 @ Y2) @ (Y1 @ Y3)))))))))))) = 14.40/2.40 ((^[Y0 : a > b,Y1 : a > b]: 14.40/2.40 (((!!) @ (^[Y2 : a]: 14.40/2.40 (((!!) @ (^[Y3 : a]: 14.40/2.40 ((('#sk2' @ Y2 @ Y3) => ('#sk4' @ 14.40/2.40 Y2 @ (Y0 @ Y2) @ (Y1 @ Y3)))))))))))))) & 14.40/2.40 (((!!) @ (^[Y0 : a > b]: 14.40/2.40 (((!!) @ (^[Y1 : a > b]: 14.40/2.40 (((!!) @ (^[Y2 : a > b]: 14.40/2.40 (((((((!!) @ (^[Y3 : a]: 14.40/2.40 (((!!) @ ( 14.40/2.40 ^[Y4 : a]: 14.40/2.40 ((('#sk1' @ 14.40/2.40 Y3 @ 14.40/2.40 Y4) => 14.40/2.40 ('#sk3' @ 14.40/2.40 Y3 @ 14.40/2.40 (Y0 @ Y3) @ 14.40/2.40 (Y1 @ Y4)))))))))) & 14.40/2.40 (((!!) @ (^[Y3 : a]: 14.40/2.40 (((!!) @ ( 14.40/2.40 ^[Y4 : a]: 14.40/2.40 ((('#sk1' @ 14.40/2.40 Y3 @ 14.40/2.40 Y4) => 14.40/2.40 ('#sk3' @ 14.40/2.40 Y3 @ 14.40/2.40 (Y1 @ Y3) @ 14.40/2.40 (Y2 @ Y4)))))))))))) => 14.40/2.40 (((!!) @ (^[Y3 : a]: 14.40/2.40 (((!!) @ ( 14.40/2.40 ^[Y4 : a]: 14.40/2.40 ((('#sk1' @ 14.40/2.40 Y3 @ Y4) => 14.40/2.40 ('#sk3' @ 14.40/2.40 Y3 @ 14.40/2.40 (Y0 @ Y3) @ 14.40/2.40 (Y2 @ Y4)))))))))))))))))))))))), 14.40/2.40 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl11])). 14.40/2.40 thf(zip_derived_cl23, plain, 14.40/2.40 ((~ (((!!) @ (^[Y0 : a > b]: 14.40/2.40 (((!!) @ (^[Y1 : a > b]: 14.40/2.40 (((((!!) @ (^[Y2 : a]: 14.40/2.40 (((!!) @ (^[Y3 : a]: 14.40/2.40 ((('#sk1' @ Y2 @ 14.40/2.40 Y3) => ('#sk3' @ 14.40/2.40 Y2 @ (Y0 @ Y2) @ 14.40/2.40 (Y1 @ Y3)))))))))) => 14.40/2.40 (((!!) @ (^[Y2 : a]: 14.40/2.40 (((!!) @ (^[Y3 : a]: 14.40/2.40 ((('#sk1' @ Y2 @ 14.40/2.40 Y3) => ('#sk3' @ 14.40/2.40 Y2 @ (Y1 @ Y2) @ 14.40/2.40 (Y0 @ Y3)))))))))))))))))) 14.40/2.40 | ~ ((((^[Y0 : a > b,Y1 : a > b]: 14.40/2.40 (((!!) @ (^[Y2 : a]: 14.40/2.40 (((!!) @ (^[Y3 : a]: 14.40/2.40 ((('#sk1' @ Y2 @ Y3) => ('#sk3' @ 14.40/2.40 Y2 @ (Y0 @ Y2) @ (Y1 @ Y3)))))))))))) = 14.40/2.40 ((^[Y0 : a > b,Y1 : a > b]: 14.40/2.40 (((!!) @ (^[Y2 : a]: 14.40/2.40 (((!!) @ (^[Y3 : a]: 14.40/2.40 ((('#sk2' @ Y2 @ Y3) => ('#sk4' @ 14.40/2.40 Y2 @ (Y0 @ Y2) @ (Y1 @ Y3)))))))))))))) 14.40/2.40 | ~ (((!!) @ (^[Y0 : a > b]: 14.40/2.40 (((!!) @ (^[Y1 : a > b]: 14.40/2.40 (((!!) @ (^[Y2 : a > b]: 14.40/2.40 (((((((!!) @ (^[Y3 : a]: 14.40/2.40 (((!!) @ ( 14.40/2.40 ^[Y4 : a]: 14.40/2.40 ((('#sk1' @ 14.40/2.40 Y3 @ 14.40/2.40 Y4) => 14.40/2.40 ('#sk3' @ 14.40/2.40 Y3 @ 14.40/2.40 ( 14.40/2.40 Y0 @ Y3) @ 14.40/2.40 ( 14.40/2.40 Y1 @ Y4)))))))))) & 14.40/2.40 (((!!) @ (^[Y3 : a]: 14.40/2.40 (((!!) @ ( 14.40/2.40 ^[Y4 : a]: 14.40/2.40 ((('#sk1' @ 14.40/2.40 Y3 @ 14.40/2.40 Y4) => 14.40/2.40 ('#sk3' @ 14.40/2.40 Y3 @ 14.40/2.40 ( 14.40/2.40 Y1 @ Y3) @ 14.40/2.40 ( 14.40/2.40 Y2 @ Y4)))))))))))) => 14.40/2.40 (((!!) @ (^[Y3 : a]: 14.40/2.40 (((!!) @ ( 14.40/2.40 ^[Y4 : a]: 14.40/2.40 ((('#sk1' @ 14.40/2.40 Y3 @ Y4) => 14.40/2.40 ('#sk3' @ 14.40/2.40 Y3 @ 14.40/2.40 (Y0 @ Y3) @ 14.40/2.40 (Y2 @ Y4))))))))))))))))))))))), 14.40/2.40 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl18])). 14.40/2.40 thf(zip_derived_cl28, plain, 14.40/2.40 ((~ (((!!) @ (^[Y0 : a > b]: 14.40/2.40 (((!!) @ (^[Y1 : a > b]: 14.40/2.40 (((((!!) @ (^[Y2 : a]: 14.40/2.40 (((!!) @ (^[Y3 : a]: 14.40/2.40 ((('#sk1' @ Y2 @ 14.40/2.40 Y3) => ('#sk3' @ 14.40/2.40 Y2 @ (Y0 @ Y2) @ 14.40/2.40 (Y1 @ Y3)))))))))) => 14.40/2.40 (((!!) @ (^[Y2 : a]: 14.40/2.40 (((!!) @ (^[Y3 : a]: 14.40/2.40 ((('#sk1' @ Y2 @ 14.40/2.40 Y3) => ('#sk3' @ 14.40/2.40 Y2 @ (Y1 @ Y2) @ 14.40/2.40 (Y0 @ Y3)))))))))))))))))) 14.40/2.40 | (((^[Y0 : a > b,Y1 : a > b]: 14.40/2.40 (((!!) @ (^[Y2 : a]: 14.40/2.40 (((!!) @ (^[Y3 : a]: 14.40/2.40 ((('#sk1' @ Y2 @ Y3) => ('#sk3' @ Y2 @ 14.40/2.40 (Y0 @ Y2) @ (Y1 @ Y3)))))))))))) 14.40/2.40 != ((^[Y0 : a > b,Y1 : a > b]: 14.40/2.40 (((!!) @ (^[Y2 : a]: 14.40/2.40 (((!!) @ (^[Y3 : a]: 14.40/2.40 ((('#sk2' @ Y2 @ Y3) => ('#sk4' @ 14.40/2.40 Y2 @ (Y0 @ Y2) @ (Y1 @ Y3))))))))))))) 14.40/2.40 | ~ (((!!) @ (^[Y0 : a > b]: 14.40/2.40 (((!!) @ (^[Y1 : a > b]: 14.40/2.40 (((!!) @ (^[Y2 : a > b]: 14.40/2.40 (((((((!!) @ (^[Y3 : a]: 14.40/2.40 (((!!) @ ( 14.40/2.40 ^[Y4 : a]: 14.40/2.40 ((('#sk1' @ 14.40/2.40 Y3 @ 14.40/2.40 Y4) => 14.40/2.40 ('#sk3' @ 14.40/2.40 Y3 @ 14.40/2.40 ( 14.40/2.40 Y0 @ Y3) @ 14.40/2.40 ( 14.40/2.40 Y1 @ Y4)))))))))) & 14.40/2.40 (((!!) @ (^[Y3 : a]: 14.40/2.40 (((!!) @ ( 14.40/2.40 ^[Y4 : a]: 14.40/2.40 ((('#sk1' @ 14.40/2.40 Y3 @ 14.40/2.40 Y4) => 14.40/2.40 ('#sk3' @ 14.40/2.40 Y3 @ 14.40/2.40 ( 14.40/2.40 Y1 @ Y3) @ 14.40/2.40 ( 14.40/2.40 Y2 @ Y4)))))))))))) => 14.40/2.40 (((!!) @ (^[Y3 : a]: 14.40/2.40 (((!!) @ ( 14.40/2.40 ^[Y4 : a]: 14.40/2.40 ((('#sk1' @ 14.40/2.40 Y3 @ Y4) => 14.40/2.40 ('#sk3' @ 14.40/2.40 Y3 @ 14.40/2.40 (Y0 @ Y3) @ 14.40/2.40 (Y2 @ Y4))))))))))))))))))))))), 14.40/2.40 inference('simplify nested equalities', [status(thm)], [zip_derived_cl23])). 14.40/2.40 thf(zip_derived_cl29, plain, 14.40/2.40 ((~ (((!!) @ (^[Y0 : a > b]: 14.40/2.40 (((!!) @ (^[Y1 : a > b]: 14.40/2.40 (((((!!) @ (^[Y2 : a]: 14.40/2.40 (((!!) @ (^[Y3 : a]: 14.40/2.40 ((('#sk1' @ Y2 @ 14.40/2.40 Y3) => ('#sk3' @ 14.40/2.40 Y2 @ (Y0 @ Y2) @ 14.40/2.40 (Y1 @ Y3)))))))))) => 14.40/2.40 (((!!) @ (^[Y2 : a]: 14.40/2.40 (((!!) @ (^[Y3 : a]: 14.40/2.40 ((('#sk1' @ Y2 @ 14.40/2.40 Y3) => ('#sk3' @ 14.40/2.40 Y2 @ (Y1 @ Y2) @ 14.40/2.40 (Y0 @ Y3)))))))))))))))))) 14.40/2.40 | (((^[Y0 : a > b,Y1 : a > b]: 14.40/2.40 (((!!) @ (^[Y2 : a]: 14.40/2.40 (((!!) @ (^[Y3 : a]: 14.40/2.40 ((('#sk1' @ Y2 @ Y3) => ('#sk3' @ Y2 @ 14.40/2.40 (Y0 @ Y2) @ (Y1 @ Y3))))))))))) @ 14.40/2.40 '#_fresh_sk5' @ '#_fresh_sk6') 14.40/2.40 != ((^[Y0 : a > b,Y1 : a > b]: 14.40/2.40 (((!!) @ (^[Y2 : a]: 14.40/2.40 (((!!) @ (^[Y3 : a]: 14.40/2.40 ((('#sk2' @ Y2 @ Y3) => ('#sk4' @ 14.40/2.40 Y2 @ (Y0 @ Y2) @ (Y1 @ Y3))))))))))) @ 14.40/2.40 '#_fresh_sk5' @ '#_fresh_sk6')) 14.40/2.40 | ~ (((!!) @ (^[Y0 : a > b]: 14.40/2.40 (((!!) @ (^[Y1 : a > b]: 14.40/2.40 (((!!) @ (^[Y2 : a > b]: 14.40/2.40 (((((((!!) @ (^[Y3 : a]: 14.40/2.40 (((!!) @ ( 14.40/2.40 ^[Y4 : a]: 14.40/2.40 ((('#sk1' @ 14.40/2.40 Y3 @ 14.40/2.40 Y4) => 14.40/2.40 ('#sk3' @ 14.40/2.40 Y3 @ 14.40/2.40 ( 14.40/2.40 Y0 @ Y3) @ 14.40/2.40 ( 14.40/2.40 Y1 @ Y4)))))))))) & 14.40/2.40 (((!!) @ (^[Y3 : a]: 14.40/2.40 (((!!) @ ( 14.40/2.40 ^[Y4 : a]: 14.40/2.40 ((('#sk1' @ 14.40/2.40 Y3 @ 14.40/2.40 Y4) => 14.40/2.40 ('#sk3' @ 14.40/2.40 Y3 @ 14.40/2.40 ( 14.40/2.40 Y1 @ Y3) @ 14.40/2.40 ( 14.40/2.40 Y2 @ Y4)))))))))))) => 14.40/2.40 (((!!) @ (^[Y3 : a]: 14.40/2.40 (((!!) @ ( 14.40/2.40 ^[Y4 : a]: 14.40/2.40 ((('#sk1' @ 14.40/2.40 Y3 @ Y4) => 14.40/2.40 ('#sk3' @ 14.40/2.40 Y3 @ 14.40/2.40 (Y0 @ Y3) @ 14.40/2.40 (Y2 @ Y4))))))))))))))))))))))), 14.40/2.40 inference('neg_ext_simpl', [status(thm)], [zip_derived_cl28])). 14.40/2.40 thf(zip_derived_cl30, plain, 14.40/2.40 ((~ (((!!) @ (^[Y0 : a > b]: 14.40/2.40 (((!!) @ (^[Y1 : a > b]: 14.40/2.40 (((((!!) @ (^[Y2 : a]: 14.40/2.40 (((!!) @ (^[Y3 : a]: 14.40/2.40 ((('#sk1' @ Y2 @ 14.40/2.40 Y3) => ('#sk3' @ 14.40/2.40 Y2 @ (Y0 @ Y2) @ 14.40/2.40 (Y1 @ Y3)))))))))) => 14.40/2.40 (((!!) @ (^[Y2 : a]: 14.40/2.40 (((!!) @ (^[Y3 : a]: 14.40/2.40 ((('#sk1' @ Y2 @ 14.40/2.40 Y3) => ('#sk3' @ 14.40/2.40 Y2 @ (Y1 @ Y2) @ 14.40/2.40 (Y0 @ Y3)))))))))))))))))) 14.40/2.40 | ((((!!) @ (^[Y0 : a]: 14.40/2.40 (((!!) @ (^[Y1 : a]: 14.40/2.40 ((('#sk1' @ Y0 @ Y1) => ('#sk3' @ Y0 @ 14.40/2.40 ('#_fresh_sk5' @ Y0) @ 14.40/2.40 ('#_fresh_sk6' @ Y1)))))))))) 14.40/2.40 != (((!!) @ (^[Y0 : a]: 14.40/2.40 (((!!) @ (^[Y1 : a]: 14.40/2.40 ((('#sk2' @ Y0 @ Y1) => ('#sk4' @ Y0 @ 14.40/2.40 ('#_fresh_sk5' @ Y0) @ 14.40/2.40 ('#_fresh_sk6' @ Y1))))))))))) 14.40/2.40 | ~ (((!!) @ (^[Y0 : a > b]: 14.40/2.40 (((!!) @ (^[Y1 : a > b]: 14.40/2.40 (((!!) @ (^[Y2 : a > b]: 14.40/2.40 (((((((!!) @ (^[Y3 : a]: 14.40/2.40 (((!!) @ ( 14.40/2.40 ^[Y4 : a]: 14.40/2.40 ((('#sk1' @ 14.40/2.40 Y3 @ 14.40/2.40 Y4) => 14.40/2.40 ('#sk3' @ 14.40/2.40 Y3 @ 14.40/2.40 ( 14.40/2.40 Y0 @ Y3) @ 14.40/2.40 ( 14.40/2.40 Y1 @ Y4)))))))))) & 14.40/2.40 (((!!) @ (^[Y3 : a]: 14.40/2.40 (((!!) @ ( 14.40/2.40 ^[Y4 : a]: 14.40/2.40 ((('#sk1' @ 14.40/2.40 Y3 @ 14.40/2.40 Y4) => 14.40/2.40 ('#sk3' @ 14.40/2.40 Y3 @ 14.40/2.40 ( 14.40/2.40 Y1 @ Y3) @ 14.40/2.40 ( 14.40/2.40 Y2 @ Y4)))))))))))) => 14.40/2.40 (((!!) @ (^[Y3 : a]: 14.40/2.40 (((!!) @ ( 14.40/2.40 ^[Y4 : a]: 14.40/2.40 ((('#sk1' @ 14.40/2.40 Y3 @ Y4) => 14.40/2.40 ('#sk3' @ 14.40/2.40 Y3 @ 14.40/2.40 (Y0 @ Y3) @ 14.40/2.40 (Y2 @ Y4))))))))))))))))))))))), 14.40/2.40 inference('ho_norm', [status(thm)], [zip_derived_cl29])). 14.40/2.40 thf(zip_derived_cl31, plain, 14.40/2.40 ((~ (((!!) @ (^[Y0 : a > b]: 14.40/2.40 (((((!!) @ (^[Y1 : a]: 14.40/2.40 (((!!) @ (^[Y2 : a]: 14.40/2.40 ((('#sk1' @ Y1 @ Y2) => 14.40/2.40 ('#sk3' @ Y1 @ 14.40/2.40 ('#sk7' @ Y1) @ (Y0 @ Y2)))))))))) => 14.40/2.40 (((!!) @ (^[Y1 : a]: 14.40/2.40 (((!!) @ (^[Y2 : a]: 14.40/2.40 ((('#sk1' @ Y1 @ Y2) => 14.40/2.40 ('#sk3' @ Y1 @ (Y0 @ Y1) @ 14.40/2.40 ('#sk7' @ Y2))))))))))))))) 14.40/2.40 | ~ (((!!) @ (^[Y0 : a > b]: 14.40/2.40 (((!!) @ (^[Y1 : a > b]: 14.40/2.40 (((!!) @ (^[Y2 : a > b]: 14.40/2.40 (((((((!!) @ (^[Y3 : a]: 14.40/2.40 (((!!) @ ( 14.40/2.40 ^[Y4 : a]: 14.40/2.40 ((('#sk1' @ 14.40/2.40 Y3 @ 14.40/2.40 Y4) => 14.40/2.40 ('#sk3' @ 14.40/2.40 Y3 @ 14.40/2.40 ( 14.40/2.40 Y0 @ Y3) @ 14.40/2.40 ( 14.40/2.40 Y1 @ Y4)))))))))) & 14.40/2.40 (((!!) @ (^[Y3 : a]: 14.40/2.40 (((!!) @ ( 14.40/2.40 ^[Y4 : a]: 14.40/2.40 ((('#sk1' @ 14.40/2.40 Y3 @ 14.40/2.40 Y4) => 14.40/2.40 ('#sk3' @ 14.40/2.40 Y3 @ 14.40/2.40 ( 14.40/2.40 Y1 @ Y3) @ 14.40/2.40 ( 14.40/2.40 Y2 @ Y4)))))))))))) => 14.40/2.40 (((!!) @ (^[Y3 : a]: 14.40/2.40 (((!!) @ ( 14.40/2.40 ^[Y4 : a]: 14.40/2.40 ((('#sk1' @ 14.40/2.40 Y3 @ Y4) => 14.40/2.40 ('#sk3' @ 14.40/2.40 Y3 @ 14.40/2.40 (Y0 @ Y3) @ 14.40/2.40 (Y2 @ Y4))))))))))))))))))))) 14.40/2.40 | ((((!!) @ (^[Y0 : a]: 14.40/2.40 (((!!) @ (^[Y1 : a]: 14.40/2.40 ((('#sk1' @ Y0 @ Y1) => ('#sk3' @ Y0 @ 14.40/2.40 ('#_fresh_sk5' @ Y0) @ 14.40/2.40 ('#_fresh_sk6' @ Y1)))))))))) 14.40/2.40 != (((!!) @ (^[Y0 : a]: 14.40/2.40 (((!!) @ (^[Y1 : a]: 14.40/2.40 ((('#sk2' @ Y0 @ Y1) => ('#sk4' @ Y0 @ 14.40/2.40 ('#_fresh_sk5' @ Y0) @ 14.40/2.40 ('#_fresh_sk6' @ Y1))))))))))))), 14.40/2.40 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl30])). 14.40/2.40 thf(zip_derived_cl39, plain, 14.40/2.40 ((~ (((((!!) @ (^[Y0 : a]: 14.40/2.40 (((!!) @ (^[Y1 : a]: 14.40/2.40 ((('#sk1' @ Y0 @ Y1) => ('#sk3' @ Y0 @ 14.40/2.40 ('#sk7' @ Y0) @ ('#sk8' @ Y1)))))))))) => 14.40/2.40 (((!!) @ (^[Y0 : a]: 14.40/2.40 (((!!) @ (^[Y1 : a]: 14.40/2.40 ((('#sk1' @ Y0 @ Y1) => ('#sk3' @ Y0 @ 14.40/2.40 ('#sk8' @ Y0) @ ('#sk7' @ Y1)))))))))))) 14.40/2.40 | ((((!!) @ (^[Y0 : a]: 14.40/2.40 (((!!) @ (^[Y1 : a]: 14.40/2.40 ((('#sk1' @ Y0 @ Y1) => ('#sk3' @ Y0 @ 14.40/2.40 ('#_fresh_sk5' @ Y0) @ 14.40/2.40 ('#_fresh_sk6' @ Y1)))))))))) 14.40/2.40 != (((!!) @ (^[Y0 : a]: 14.40/2.40 (((!!) @ (^[Y1 : a]: 14.40/2.40 ((('#sk2' @ Y0 @ Y1) => ('#sk4' @ Y0 @ 14.40/2.40 ('#_fresh_sk5' @ Y0) @ 14.40/2.40 ('#_fresh_sk6' @ Y1))))))))))) 14.40/2.40 | ~ (((!!) @ (^[Y0 : a > b]: 14.40/2.40 (((!!) @ (^[Y1 : a > b]: 14.40/2.40 (((!!) @ (^[Y2 : a > b]: 14.40/2.40 (((((((!!) @ (^[Y3 : a]: 14.40/2.40 (((!!) @ ( 14.40/2.40 ^[Y4 : a]: 14.40/2.40 ((('#sk1' @ 14.40/2.40 Y3 @ 14.40/2.40 Y4) => 14.40/2.40 ('#sk3' @ 14.40/2.40 Y3 @ 14.40/2.40 ( 14.40/2.40 Y0 @ Y3) @ 14.40/2.40 ( 14.40/2.40 Y1 @ Y4)))))))))) & 14.40/2.40 (((!!) @ (^[Y3 : a]: 14.40/2.40 (((!!) @ ( 14.40/2.40 ^[Y4 : a]: 14.40/2.40 ((('#sk1' @ 14.40/2.40 Y3 @ 14.40/2.40 Y4) => 14.40/2.40 ('#sk3' @ 14.40/2.40 Y3 @ 14.40/2.40 ( 14.40/2.40 Y1 @ Y3) @ 14.40/2.40 ( 14.40/2.40 Y2 @ Y4)))))))))))) => 14.40/2.40 (((!!) @ (^[Y3 : a]: 14.40/2.40 (((!!) @ ( 14.40/2.40 ^[Y4 : a]: 14.40/2.40 ((('#sk1' @ 14.40/2.40 Y3 @ Y4) => 14.40/2.40 ('#sk3' @ 14.40/2.40 Y3 @ 14.40/2.40 (Y0 @ Y3) @ 14.40/2.40 (Y2 @ Y4))))))))))))))))))))))), 14.40/2.40 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl31])). 14.40/2.40 thf(zip_derived_cl49, plain, 14.40/2.40 (( (((!!) @ (^[Y0 : a]: 14.40/2.40 (((!!) @ (^[Y1 : a]: 14.40/2.40 ((('#sk1' @ Y0 @ Y1) => ('#sk3' @ Y0 @ 14.40/2.40 ('#sk7' @ Y0) @ ('#sk8' @ Y1)))))))))) 14.40/2.40 | ~ (((!!) @ (^[Y0 : a > b]: 14.40/2.40 (((!!) @ (^[Y1 : a > b]: 14.40/2.40 (((!!) @ (^[Y2 : a > b]: 14.40/2.40 (((((((!!) @ (^[Y3 : a]: 14.40/2.40 (((!!) @ ( 14.40/2.40 ^[Y4 : a]: 14.40/2.40 ((('#sk1' @ 14.40/2.40 Y3 @ 14.40/2.40 Y4) => 14.40/2.40 ('#sk3' @ 14.40/2.40 Y3 @ 14.40/2.40 ( 14.40/2.40 Y0 @ Y3) @ 14.40/2.40 ( 14.40/2.40 Y1 @ Y4)))))))))) & 14.40/2.40 (((!!) @ (^[Y3 : a]: 14.40/2.40 (((!!) @ ( 14.40/2.40 ^[Y4 : a]: 14.40/2.40 ((('#sk1' @ 14.40/2.40 Y3 @ 14.40/2.40 Y4) => 14.40/2.40 ('#sk3' @ 14.40/2.40 Y3 @ 14.40/2.40 ( 14.40/2.40 Y1 @ Y3) @ 14.40/2.40 ( 14.40/2.40 Y2 @ Y4)))))))))))) => 14.40/2.40 (((!!) @ (^[Y3 : a]: 14.40/2.40 (((!!) @ ( 14.40/2.40 ^[Y4 : a]: 14.40/2.40 ((('#sk1' @ 14.40/2.40 Y3 @ Y4) => 14.40/2.40 ('#sk3' @ 14.40/2.40 Y3 @ 14.40/2.40 (Y0 @ Y3) @ 14.40/2.40 (Y2 @ Y4))))))))))))))))))))) 14.40/2.40 | ((((!!) @ (^[Y0 : a]: 14.40/2.40 (((!!) @ (^[Y1 : a]: 14.40/2.40 ((('#sk1' @ Y0 @ Y1) => ('#sk3' @ Y0 @ 14.40/2.40 ('#_fresh_sk5' @ Y0) @ 14.40/2.40 ('#_fresh_sk6' @ Y1)))))))))) 14.40/2.40 != (((!!) @ (^[Y0 : a]: 14.40/2.40 (((!!) @ (^[Y1 : a]: 14.40/2.40 ((('#sk2' @ Y0 @ Y1) => ('#sk4' @ Y0 @ 14.40/2.40 ('#_fresh_sk5' @ Y0) @ 14.40/2.40 ('#_fresh_sk6' @ Y1))))))))))))), 14.40/2.40 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl39])). 14.40/2.40 thf(zip_derived_cl55, plain, 14.40/2.40 (( ('#form9') 14.40/2.40 | ~ (((!!) @ (^[Y0 : a > b]: 14.40/2.40 (((!!) @ (^[Y1 : a > b]: 14.40/2.40 (((!!) @ (^[Y2 : a > b]: 14.40/2.40 (((((((!!) @ (^[Y3 : a]: 14.40/2.40 (((!!) @ ( 14.40/2.40 ^[Y4 : a]: 14.40/2.40 ((('#sk1' @ 14.40/2.40 Y3 @ 14.40/2.40 Y4) => 14.40/2.40 ('#sk3' @ 14.40/2.40 Y3 @ 14.40/2.40 ( 14.40/2.40 Y0 @ Y3) @ 14.40/2.40 ( 14.40/2.40 Y1 @ Y4)))))))))) & 14.40/2.40 (((!!) @ (^[Y3 : a]: 14.40/2.40 (((!!) @ ( 14.40/2.40 ^[Y4 : a]: 14.40/2.40 ((('#sk1' @ 14.40/2.40 Y3 @ 14.40/2.40 Y4) => 14.40/2.40 ('#sk3' @ 14.40/2.40 Y3 @ 14.40/2.40 ( 14.40/2.40 Y1 @ Y3) @ 14.40/2.40 ( 14.40/2.40 Y2 @ Y4)))))))))))) => 14.40/2.40 (((!!) @ (^[Y3 : a]: 14.40/2.40 (((!!) @ ( 14.40/2.40 ^[Y4 : a]: 14.40/2.40 ((('#sk1' @ 14.40/2.40 Y3 @ Y4) => 14.40/2.40 ('#sk3' @ 14.40/2.40 Y3 @ 14.40/2.40 (Y0 @ Y3) @ 14.40/2.40 (Y2 @ Y4))))))))))))))))))))))), 14.40/2.40 define([status(thm)])). 14.40/2.40 thf(zip_derived_cl56, plain, 14.40/2.40 ((~ (((!!) @ (^[Y0 : a > b]: 14.40/2.40 (((!!) @ (^[Y1 : a > b]: 14.40/2.40 (((((((!!) @ (^[Y2 : a]: 14.40/2.40 (((!!) @ (^[Y3 : a]: 14.40/2.40 ((('#sk1' @ Y2 @ 14.40/2.40 Y3) => 14.40/2.40 ('#sk3' @ Y2 @ 14.40/2.40 ('#sk10' @ Y2) @ 14.40/2.40 (Y0 @ Y3)))))))))) & 14.40/2.40 (((!!) @ (^[Y2 : a]: 14.40/2.40 (((!!) @ (^[Y3 : a]: 14.40/2.40 ((('#sk1' @ Y2 @ 14.40/2.40 Y3) => 14.40/2.40 ('#sk3' @ Y2 @ 14.40/2.40 (Y0 @ Y2) @ 14.40/2.40 (Y1 @ Y3)))))))))))) => 14.40/2.40 (((!!) @ (^[Y2 : a]: 14.40/2.40 (((!!) @ (^[Y3 : a]: 14.40/2.40 ((('#sk1' @ Y2 @ 14.40/2.40 Y3) => ('#sk3' @ 14.40/2.40 Y2 @ 14.40/2.40 ('#sk10' @ Y2) @ 14.40/2.40 (Y1 @ Y3)))))))))))))))))) 14.40/2.40 | ('#form9'))), 14.40/2.40 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl55])). 14.40/2.40 thf(zip_derived_cl64, plain, 14.40/2.40 ((~ (((!!) @ (^[Y0 : a > b]: 14.40/2.40 (((((((!!) @ (^[Y1 : a]: 14.40/2.40 (((!!) @ (^[Y2 : a]: 14.40/2.40 ((('#sk1' @ Y1 @ Y2) => 14.40/2.40 ('#sk3' @ Y1 @ 14.40/2.40 ('#sk10' @ Y1) @ 14.40/2.40 ('#sk11' @ Y2)))))))))) & 14.40/2.40 (((!!) @ (^[Y1 : a]: 14.40/2.40 (((!!) @ (^[Y2 : a]: 14.40/2.40 ((('#sk1' @ Y1 @ Y2) => 14.40/2.40 ('#sk3' @ Y1 @ 14.40/2.40 ('#sk11' @ Y1) @ (Y0 @ Y2)))))))))))) => 14.40/2.40 (((!!) @ (^[Y1 : a]: 14.40/2.40 (((!!) @ (^[Y2 : a]: 14.40/2.40 ((('#sk1' @ Y1 @ Y2) => 14.40/2.40 ('#sk3' @ Y1 @ 14.40/2.40 ('#sk10' @ Y1) @ (Y0 @ Y2))))))))))))))) 14.40/2.40 | ('#form9'))), 14.40/2.40 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl56])). 14.40/2.40 thf(zip_derived_cl72, plain, 14.40/2.40 ((~ (((((((!!) @ (^[Y0 : a]: 14.40/2.40 (((!!) @ (^[Y1 : a]: 14.40/2.40 ((('#sk1' @ Y0 @ Y1) => ('#sk3' @ Y0 @ 14.40/2.40 ('#sk10' @ Y0) @ ('#sk11' @ Y1)))))))))) & 14.40/2.40 (((!!) @ (^[Y0 : a]: 14.40/2.40 (((!!) @ (^[Y1 : a]: 14.40/2.40 ((('#sk1' @ Y0 @ Y1) => ('#sk3' @ Y0 @ 14.40/2.40 ('#sk11' @ Y0) @ ('#sk13' @ Y1)))))))))))) => 14.40/2.40 (((!!) @ (^[Y0 : a]: 14.40/2.40 (((!!) @ (^[Y1 : a]: 14.40/2.40 ((('#sk1' @ Y0 @ Y1) => ('#sk3' @ Y0 @ 14.40/2.40 ('#sk10' @ Y0) @ ('#sk13' @ Y1)))))))))))) 14.40/2.40 | ('#form9'))), 14.40/2.40 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl64])). 14.40/2.40 thf(zip_derived_cl80, plain, 14.40/2.40 ((~ (((!!) @ (^[Y0 : a]: 14.40/2.40 (((!!) @ (^[Y1 : a]: 14.40/2.40 ((('#sk1' @ Y0 @ Y1) => ('#sk3' @ Y0 @ 14.40/2.40 ('#sk10' @ Y0) @ ('#sk13' @ Y1)))))))))) 14.40/2.40 | ('#form9'))), 14.40/2.40 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl72])). 14.40/2.40 thf(zip_derived_cl87, plain, 14.40/2.40 ((~ (((!!) @ (^[Y0 : a]: 14.40/2.40 ((('#sk1' @ '#sk18' @ Y0) => ('#sk3' @ '#sk18' @ 14.40/2.40 ('#sk10' @ '#sk18') @ ('#sk13' @ Y0))))))) 14.40/2.40 | ('#form9'))), 14.40/2.40 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl80])). 14.40/2.40 thf(zip_derived_cl95, plain, 14.40/2.40 ((~ ((('#sk1' @ '#sk18' @ '#sk19') => ('#sk3' @ '#sk18' @ 14.40/2.40 ('#sk10' @ '#sk18') @ ('#sk13' @ '#sk19')))) 14.40/2.40 | ('#form9'))), 14.40/2.40 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl87])). 14.40/2.40 thf(zip_derived_cl106, plain, 14.40/2.40 ((~ ('#sk3' @ '#sk18' @ ('#sk10' @ '#sk18') @ ('#sk13' @ '#sk19')) 14.40/2.40 | ('#form9'))), 14.40/2.40 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl95])). 14.40/2.40 thf(zip_derived_cl49, plain, 14.40/2.40 (( (((!!) @ (^[Y0 : a]: 14.40/2.40 (((!!) @ (^[Y1 : a]: 14.40/2.40 ((('#sk1' @ Y0 @ Y1) => ('#sk3' @ Y0 @ 14.40/2.40 ('#sk7' @ Y0) @ ('#sk8' @ Y1)))))))))) 14.40/2.40 | ~ (((!!) @ (^[Y0 : a > b]: 14.40/2.40 (((!!) @ (^[Y1 : a > b]: 14.40/2.40 (((!!) @ (^[Y2 : a > b]: 14.40/2.40 (((((((!!) @ (^[Y3 : a]: 14.40/2.40 (((!!) @ ( 14.40/2.40 ^[Y4 : a]: 14.40/2.40 ((('#sk1' @ 14.40/2.40 Y3 @ 14.40/2.40 Y4) => 14.40/2.40 ('#sk3' @ 14.40/2.40 Y3 @ 14.40/2.40 ( 14.40/2.40 Y0 @ Y3) @ 14.40/2.40 ( 14.40/2.40 Y1 @ Y4)))))))))) & 14.40/2.40 (((!!) @ (^[Y3 : a]: 14.40/2.40 (((!!) @ ( 14.40/2.40 ^[Y4 : a]: 14.40/2.40 ((('#sk1' @ 14.40/2.40 Y3 @ 14.40/2.40 Y4) => 14.40/2.40 ('#sk3' @ 14.40/2.40 Y3 @ 14.40/2.40 ( 14.40/2.40 Y1 @ Y3) @ 14.40/2.40 ( 14.40/2.40 Y2 @ Y4)))))))))))) => 14.40/2.40 (((!!) @ (^[Y3 : a]: 14.40/2.40 (((!!) @ ( 14.40/2.40 ^[Y4 : a]: 14.40/2.40 ((('#sk1' @ 14.40/2.40 Y3 @ Y4) => 14.40/2.40 ('#sk3' @ 14.40/2.40 Y3 @ 14.40/2.40 (Y0 @ Y3) @ 14.40/2.40 (Y2 @ Y4))))))))))))))))))))) 14.40/2.40 | ((((!!) @ (^[Y0 : a]: 14.40/2.40 (((!!) @ (^[Y1 : a]: 14.40/2.40 ((('#sk1' @ Y0 @ Y1) => ('#sk3' @ Y0 @ 14.40/2.40 ('#_fresh_sk5' @ Y0) @ 14.40/2.40 ('#_fresh_sk6' @ Y1)))))))))) 14.40/2.40 != (((!!) @ (^[Y0 : a]: 14.40/2.40 (((!!) @ (^[Y1 : a]: 14.40/2.40 ((('#sk2' @ Y0 @ Y1) => ('#sk4' @ Y0 @ 14.40/2.40 ('#_fresh_sk5' @ Y0) @ 14.40/2.40 ('#_fresh_sk6' @ Y1))))))))))))), 14.40/2.40 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl39])). 14.40/2.40 thf(zip_derived_cl55, plain, 14.40/2.40 (( ('#form9') 14.40/2.40 | ~ (((!!) @ (^[Y0 : a > b]: 14.40/2.40 (((!!) @ (^[Y1 : a > b]: 14.40/2.40 (((!!) @ (^[Y2 : a > b]: 14.40/2.40 (((((((!!) @ (^[Y3 : a]: 14.40/2.40 (((!!) @ ( 14.40/2.40 ^[Y4 : a]: 14.40/2.40 ((('#sk1' @ 14.40/2.40 Y3 @ 14.40/2.40 Y4) => 14.40/2.40 ('#sk3' @ 14.40/2.40 Y3 @ 14.40/2.40 ( 14.40/2.40 Y0 @ Y3) @ 14.40/2.40 ( 14.40/2.40 Y1 @ Y4)))))))))) & 14.40/2.40 (((!!) @ (^[Y3 : a]: 14.40/2.40 (((!!) @ ( 14.40/2.40 ^[Y4 : a]: 14.40/2.40 ((('#sk1' @ 14.40/2.40 Y3 @ 14.40/2.40 Y4) => 14.40/2.40 ('#sk3' @ 14.40/2.40 Y3 @ 14.40/2.40 ( 14.40/2.40 Y1 @ Y3) @ 14.40/2.40 ( 14.40/2.40 Y2 @ Y4)))))))))))) => 14.40/2.40 (((!!) @ (^[Y3 : a]: 14.40/2.40 (((!!) @ ( 14.40/2.40 ^[Y4 : a]: 14.40/2.40 ((('#sk1' @ 14.40/2.40 Y3 @ Y4) => 14.40/2.40 ('#sk3' @ 14.40/2.40 Y3 @ 14.40/2.40 (Y0 @ Y3) @ 14.40/2.40 (Y2 @ Y4))))))))))))))))))))))), 14.40/2.40 define([status(thm)])). 14.40/2.40 thf(zip_derived_cl57, plain, 14.40/2.40 ((~ ('#form9') 14.40/2.40 | ((((!!) @ (^[Y0 : a]: 14.40/2.40 (((!!) @ (^[Y1 : a]: 14.40/2.40 ((('#sk1' @ Y0 @ Y1) => ('#sk3' @ Y0 @ 14.40/2.40 ('#_fresh_sk5' @ Y0) @ 14.40/2.40 ('#_fresh_sk6' @ Y1)))))))))) 14.40/2.40 != (((!!) @ (^[Y0 : a]: 14.40/2.40 (((!!) @ (^[Y1 : a]: 14.40/2.40 ((('#sk2' @ Y0 @ Y1) => ('#sk4' @ Y0 @ 14.40/2.40 ('#_fresh_sk5' @ Y0) @ 14.40/2.40 ('#_fresh_sk6' @ Y1))))))))))) 14.40/2.40 | (((!!) @ (^[Y0 : a]: 14.40/2.40 (((!!) @ (^[Y1 : a]: 14.40/2.40 ((('#sk1' @ Y0 @ Y1) => ('#sk3' @ Y0 @ 14.40/2.40 ('#sk7' @ Y0) @ ('#sk8' @ Y1)))))))))))), 14.40/2.40 inference('renaming', [status(thm)], [zip_derived_cl49, zip_derived_cl55])). 14.40/2.40 thf(zip_derived_cl63, plain, 14.40/2.40 (![X2 : a]: 14.40/2.40 ( (((!!) @ (^[Y0 : a]: 14.40/2.40 ((('#sk1' @ X2 @ Y0) => ('#sk3' @ X2 @ ('#sk7' @ X2) @ 14.40/2.40 ('#sk8' @ Y0))))))) 14.40/2.40 | ((((!!) @ (^[Y0 : a]: 14.40/2.40 (((!!) @ (^[Y1 : a]: 14.40/2.40 ((('#sk1' @ Y0 @ Y1) => ('#sk3' @ Y0 @ 14.40/2.40 ('#_fresh_sk5' @ Y0) @ 14.40/2.40 ('#_fresh_sk6' @ Y1)))))))))) 14.40/2.40 != (((!!) @ (^[Y0 : a]: 14.40/2.40 (((!!) @ (^[Y1 : a]: 14.40/2.40 ((('#sk2' @ Y0 @ Y1) => ('#sk4' @ 14.40/2.40 Y0 @ ('#_fresh_sk5' @ Y0) @ 14.40/2.40 ('#_fresh_sk6' @ Y1))))))))))) 14.40/2.40 | ~ ('#form9'))), 14.40/2.40 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl57])). 14.40/2.40 thf(zip_derived_cl50, plain, 14.40/2.40 ((~ (((!!) @ (^[Y0 : a]: 14.40/2.40 (((!!) @ (^[Y1 : a]: 14.40/2.40 ((('#sk1' @ Y0 @ Y1) => ('#sk3' @ Y0 @ 14.40/2.40 ('#sk8' @ Y0) @ ('#sk7' @ Y1)))))))))) 14.40/2.40 | ~ (((!!) @ (^[Y0 : a > b]: 14.40/2.40 (((!!) @ (^[Y1 : a > b]: 14.40/2.40 (((!!) @ (^[Y2 : a > b]: 14.40/2.40 (((((((!!) @ (^[Y3 : a]: 14.40/2.40 (((!!) @ ( 14.40/2.40 ^[Y4 : a]: 14.40/2.40 ((('#sk1' @ 14.40/2.40 Y3 @ 14.40/2.40 Y4) => 14.40/2.40 ('#sk3' @ 14.40/2.40 Y3 @ 14.40/2.40 ( 14.40/2.40 Y0 @ Y3) @ 14.40/2.40 ( 14.40/2.40 Y1 @ Y4)))))))))) & 14.40/2.40 (((!!) @ (^[Y3 : a]: 14.40/2.40 (((!!) @ ( 14.40/2.40 ^[Y4 : a]: 14.40/2.40 ((('#sk1' @ 14.40/2.40 Y3 @ 14.40/2.40 Y4) => 14.40/2.40 ('#sk3' @ 14.40/2.40 Y3 @ 14.40/2.40 ( 14.40/2.40 Y1 @ Y3) @ 14.40/2.40 ( 14.40/2.40 Y2 @ Y4)))))))))))) => 14.40/2.40 (((!!) @ (^[Y3 : a]: 14.40/2.40 (((!!) @ ( 14.40/2.40 ^[Y4 : a]: 14.40/2.40 ((('#sk1' @ 14.40/2.40 Y3 @ Y4) => 14.40/2.40 ('#sk3' @ 14.40/2.40 Y3 @ 14.40/2.40 (Y0 @ Y3) @ 14.40/2.40 (Y2 @ Y4))))))))))))))))))))) 14.40/2.40 | ((((!!) @ (^[Y0 : a]: 14.40/2.40 (((!!) @ (^[Y1 : a]: 14.40/2.40 ((('#sk1' @ Y0 @ Y1) => ('#sk3' @ Y0 @ 14.40/2.40 ('#_fresh_sk5' @ Y0) @ 14.40/2.40 ('#_fresh_sk6' @ Y1)))))))))) 14.40/2.40 != (((!!) @ (^[Y0 : a]: 14.40/2.40 (((!!) @ (^[Y1 : a]: 14.40/2.40 ((('#sk2' @ Y0 @ Y1) => ('#sk4' @ Y0 @ 14.40/2.40 ('#_fresh_sk5' @ Y0) @ 14.40/2.40 ('#_fresh_sk6' @ Y1))))))))))))), 14.40/2.40 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl39])). 14.40/2.40 thf(zip_derived_cl55, plain, 14.40/2.40 (( ('#form9') 14.40/2.40 | ~ (((!!) @ (^[Y0 : a > b]: 14.40/2.40 (((!!) @ (^[Y1 : a > b]: 14.40/2.40 (((!!) @ (^[Y2 : a > b]: 14.40/2.40 (((((((!!) @ (^[Y3 : a]: 14.40/2.40 (((!!) @ ( 14.40/2.40 ^[Y4 : a]: 14.40/2.40 ((('#sk1' @ 14.40/2.40 Y3 @ 14.40/2.40 Y4) => 14.40/2.40 ('#sk3' @ 14.40/2.40 Y3 @ 14.40/2.40 ( 14.40/2.40 Y0 @ Y3) @ 14.40/2.40 ( 14.40/2.40 Y1 @ Y4)))))))))) & 14.40/2.40 (((!!) @ (^[Y3 : a]: 14.40/2.40 (((!!) @ ( 14.40/2.40 ^[Y4 : a]: 14.40/2.40 ((('#sk1' @ 14.40/2.40 Y3 @ 14.40/2.40 Y4) => 14.40/2.40 ('#sk3' @ 14.40/2.40 Y3 @ 14.40/2.40 ( 14.40/2.40 Y1 @ Y3) @ 14.40/2.40 ( 14.40/2.40 Y2 @ Y4)))))))))))) => 14.40/2.40 (((!!) @ (^[Y3 : a]: 14.40/2.40 (((!!) @ ( 14.40/2.40 ^[Y4 : a]: 14.40/2.40 ((('#sk1' @ 14.40/2.40 Y3 @ Y4) => 14.40/2.40 ('#sk3' @ 14.40/2.40 Y3 @ 14.40/2.40 (Y0 @ Y3) @ 14.40/2.40 (Y2 @ Y4))))))))))))))))))))))), 14.40/2.40 define([status(thm)])). 14.40/2.40 thf(zip_derived_cl58, plain, 14.40/2.40 ((~ ('#form9') 14.40/2.40 | ((((!!) @ (^[Y0 : a]: 14.40/2.40 (((!!) @ (^[Y1 : a]: 14.40/2.40 ((('#sk1' @ Y0 @ Y1) => ('#sk3' @ Y0 @ 14.40/2.40 ('#_fresh_sk5' @ Y0) @ 14.40/2.40 ('#_fresh_sk6' @ Y1)))))))))) 14.40/2.40 != (((!!) @ (^[Y0 : a]: 14.40/2.40 (((!!) @ (^[Y1 : a]: 14.40/2.40 ((('#sk2' @ Y0 @ Y1) => ('#sk4' @ Y0 @ 14.40/2.40 ('#_fresh_sk5' @ Y0) @ 14.40/2.40 ('#_fresh_sk6' @ Y1))))))))))) 14.40/2.40 | ~ (((!!) @ (^[Y0 : a]: 14.40/2.40 (((!!) @ (^[Y1 : a]: 14.40/2.40 ((('#sk1' @ Y0 @ Y1) => ('#sk3' @ Y0 @ 14.40/2.40 ('#sk8' @ Y0) @ ('#sk7' @ Y1)))))))))))), 14.40/2.40 inference('renaming', [status(thm)], [zip_derived_cl50, zip_derived_cl55])). 14.40/2.40 thf(zip_derived_cl65, plain, 14.40/2.40 (( ('#form12') 14.40/2.40 | ~ (((((!!) @ (^[Y0 : a]: 14.40/2.40 (((!!) @ (^[Y1 : a]: 14.40/2.40 ((('#sk1' @ Y0 @ Y1) => ('#sk3' @ Y0 @ 14.40/2.40 ('#_fresh_sk5' @ Y0) @ 14.40/2.40 ('#_fresh_sk6' @ Y1)))))))))) <=> 14.40/2.40 (((!!) @ (^[Y0 : a]: 14.40/2.40 (((!!) @ (^[Y1 : a]: 14.40/2.40 ((('#sk2' @ Y0 @ Y1) => ('#sk4' @ Y0 @ 14.40/2.40 ('#_fresh_sk5' @ Y0) @ 14.40/2.40 ('#_fresh_sk6' @ Y1)))))))))))))), 14.40/2.40 define([status(thm)])). 14.40/2.40 thf(zip_derived_cl71, plain, 14.40/2.40 (![X2 : a]: 14.40/2.40 (~ ('#form12') 14.40/2.40 | ~ ('#form9') 14.40/2.40 | (((!!) @ (^[Y0 : a]: 14.40/2.40 ((('#sk1' @ X2 @ Y0) => ('#sk3' @ X2 @ 14.40/2.40 ('#sk7' @ X2) @ ('#sk8' @ Y0))))))))), 14.40/2.40 inference('renaming', [status(thm)], [zip_derived_cl63, zip_derived_cl65])). 14.40/2.40 thf(zip_derived_cl78, plain, 14.40/2.40 (![X2 : a, X4 : a]: 14.40/2.40 ( ((('#sk1' @ X2 @ X4) => ('#sk3' @ X2 @ ('#sk7' @ X2) @ 14.40/2.40 ('#sk8' @ X4)))) 14.40/2.40 | ~ ('#form9') 14.40/2.40 | ~ ('#form12'))), 14.40/2.40 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl71])). 14.40/2.40 thf(zip_derived_cl84, plain, 14.40/2.40 (![X2 : a, X4 : a]: 14.40/2.40 (~ ('#sk1' @ X2 @ X4) 14.40/2.40 | ('#sk3' @ X2 @ ('#sk7' @ X2) @ ('#sk8' @ X4)) 14.40/2.40 | ~ ('#form12') 14.40/2.40 | ~ ('#form9'))), 14.40/2.40 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl78])). 14.40/2.40 thf(zip_derived_cl10, plain, 14.40/2.40 ( (((!!) @ (^[Y0 : a]: 14.40/2.40 (((!!) @ (^[Y1 : a]: 14.40/2.40 ((('#sk1' @ Y0 @ Y1) => 14.40/2.40 (((((!!) @ (^[Y2 : b]: 14.40/2.40 (((!!) @ (^[Y3 : b]: 14.40/2.40 (((!!) @ (^[Y4 : b]: 14.40/2.40 (( 14.40/2.40 (( 14.40/2.40 ('#sk3' @ 14.40/2.40 Y0 @ 14.40/2.40 Y2 @ 14.40/2.40 Y3) & 14.40/2.40 ('#sk3' @ 14.40/2.40 Y0 @ 14.40/2.40 Y3 @ Y4))) => 14.40/2.40 ('#sk3' @ 14.40/2.40 Y0 @ 14.40/2.40 Y2 @ Y4)))))))))))) & 14.40/2.40 ((('#sk3' @ Y0) = ('#sk3' @ Y1))) & 14.40/2.40 (((!!) @ (^[Y2 : b]: 14.40/2.40 (((!!) @ (^[Y3 : b]: 14.40/2.40 ((('#sk3' @ Y0 @ 14.40/2.40 Y2 @ Y3) => 14.40/2.40 ('#sk3' @ Y0 @ 14.40/2.40 Y3 @ Y2)))))))))))))))))))), 14.40/2.40 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl6])). 14.40/2.40 thf(zip_derived_cl16, plain, 14.40/2.40 (![X2 : a]: 14.40/2.40 (((!!) @ (^[Y0 : a]: 14.40/2.40 ((('#sk1' @ X2 @ Y0) => 14.40/2.40 (((((!!) @ (^[Y1 : b]: 14.40/2.40 (((!!) @ (^[Y2 : b]: 14.40/2.40 (((!!) @ (^[Y3 : b]: 14.40/2.40 ((((('#sk3' @ 14.40/2.40 X2 @ Y1 @ 14.40/2.40 Y2) & 14.40/2.40 ('#sk3' @ 14.40/2.40 X2 @ Y2 @ Y3))) => 14.40/2.40 ('#sk3' @ X2 @ 14.40/2.40 Y1 @ Y3)))))))))))) & 14.40/2.40 ((('#sk3' @ X2) = ('#sk3' @ Y0))) & 14.40/2.40 (((!!) @ (^[Y1 : b]: 14.40/2.40 (((!!) @ (^[Y2 : b]: 14.40/2.40 ((('#sk3' @ X2 @ Y1 @ Y2) => 14.40/2.40 ('#sk3' @ X2 @ Y2 @ Y1))))))))))))))))), 14.40/2.40 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl10])). 14.40/2.40 thf(zip_derived_cl21, plain, 14.40/2.40 (![X2 : a, X4 : a]: 14.40/2.40 ((('#sk1' @ X2 @ X4) => 14.40/2.40 (((((!!) @ (^[Y0 : b]: 14.40/2.40 (((!!) @ (^[Y1 : b]: 14.40/2.40 (((!!) @ (^[Y2 : b]: 14.40/2.40 ((((('#sk3' @ X2 @ Y0 @ Y1) & 14.40/2.40 ('#sk3' @ X2 @ Y1 @ Y2))) => 14.40/2.40 ('#sk3' @ X2 @ Y0 @ Y2)))))))))))) & 14.40/2.40 ((('#sk3' @ X2) = ('#sk3' @ X4))) & 14.40/2.40 (((!!) @ (^[Y0 : b]: 14.40/2.40 (((!!) @ (^[Y1 : b]: 14.40/2.40 ((('#sk3' @ X2 @ Y0 @ Y1) => ('#sk3' @ 14.40/2.40 X2 @ Y1 @ Y0)))))))))))))), 14.40/2.40 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl16])). 14.40/2.40 thf(zip_derived_cl26, plain, 14.40/2.40 (![X2 : a, X4 : a]: 14.40/2.40 (~ ('#sk1' @ X2 @ X4) 14.40/2.40 | (((((!!) @ (^[Y0 : b]: 14.40/2.40 (((!!) @ (^[Y1 : b]: 14.40/2.40 (((!!) @ (^[Y2 : b]: 14.40/2.40 ((((('#sk3' @ X2 @ Y0 @ 14.40/2.40 Y1) & ('#sk3' @ X2 @ 14.40/2.40 Y1 @ Y2))) => 14.40/2.40 ('#sk3' @ X2 @ Y0 @ Y2)))))))))))) & 14.40/2.40 ((('#sk3' @ X2) = ('#sk3' @ X4))) & 14.40/2.40 (((!!) @ (^[Y0 : b]: 14.40/2.40 (((!!) @ (^[Y1 : b]: 14.40/2.40 ((('#sk3' @ X2 @ Y0 @ Y1) => ('#sk3' @ 14.40/2.40 X2 @ Y1 @ Y0))))))))))))), 14.40/2.40 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl21])). 14.40/2.40 thf(zip_derived_cl35, plain, 14.40/2.40 (![X2 : a, X4 : a]: 14.40/2.40 ( (((!!) @ (^[Y0 : b]: 14.40/2.40 (((!!) @ (^[Y1 : b]: 14.40/2.40 ((('#sk3' @ X2 @ Y0 @ Y1) => ('#sk3' @ X2 @ 14.40/2.40 Y1 @ Y0))))))))) 14.40/2.40 | ~ ('#sk1' @ X2 @ X4))), 14.40/2.40 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl26])). 14.40/2.40 thf(zip_derived_cl44, plain, 14.40/2.40 (![X2 : a, X4 : a, X6 : b]: 14.40/2.40 ( (((!!) @ (^[Y0 : b]: 14.40/2.40 ((('#sk3' @ X2 @ X6 @ Y0) => ('#sk3' @ X2 @ Y0 @ X6)))))) 14.40/2.40 | ~ ('#sk1' @ X2 @ X4))), 14.40/2.40 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl35])). 14.40/2.40 thf(zip_derived_cl52, plain, 14.40/2.40 (![X2 : a, X4 : a, X6 : b, X8 : b]: 14.40/2.40 ( ((('#sk3' @ X2 @ X6 @ X8) => ('#sk3' @ X2 @ X8 @ X6))) 14.40/2.40 | ~ ('#sk1' @ X2 @ X4))), 14.40/2.40 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl44])). 14.40/2.40 thf(zip_derived_cl60, plain, 14.40/2.40 (![X2 : a, X4 : a, X6 : b, X8 : b]: 14.40/2.40 (~ ('#sk3' @ X2 @ X6 @ X8) 14.40/2.40 | ('#sk3' @ X2 @ X8 @ X6) 14.40/2.40 | ~ ('#sk1' @ X2 @ X4))), 14.40/2.40 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl52])). 14.40/2.40 thf(zip_derived_cl331, plain, 14.40/2.40 (![X0 : a, X1 : a, X2 : a]: 14.40/2.40 (~ ('#form9') 14.40/2.40 | ~ ('#form12') 14.40/2.40 | ~ ('#sk1' @ X1 @ X0) 14.40/2.40 | ~ ('#sk1' @ X1 @ X2) 14.40/2.40 | ('#sk3' @ X1 @ ('#sk8' @ X0) @ ('#sk7' @ X1)))), 14.40/2.40 inference('sup-', [status(thm)], [zip_derived_cl84, zip_derived_cl60])). 14.40/2.40 thf(zip_derived_cl2847, plain, 14.40/2.40 (![X0 : a, X1 : a]: 14.40/2.40 (~ ('#form9') 14.40/2.40 | ~ ('#form12') 14.40/2.40 | ('#sk3' @ X0 @ ('#sk8' @ X1) @ ('#sk7' @ X0)) 14.40/2.40 | ~ ('#sk1' @ X0 @ X1))), 14.40/2.40 inference('condensation', [status(thm)], [zip_derived_cl331])). 14.40/2.40 thf(zip_derived_cl58, plain, 14.40/2.40 ((~ ('#form9') 14.40/2.40 | ((((!!) @ (^[Y0 : a]: 14.40/2.40 (((!!) @ (^[Y1 : a]: 14.40/2.40 ((('#sk1' @ Y0 @ Y1) => ('#sk3' @ Y0 @ 14.40/2.40 ('#_fresh_sk5' @ Y0) @ 14.40/2.40 ('#_fresh_sk6' @ Y1)))))))))) 14.40/2.40 != (((!!) @ (^[Y0 : a]: 14.40/2.40 (((!!) @ (^[Y1 : a]: 14.40/2.40 ((('#sk2' @ Y0 @ Y1) => ('#sk4' @ Y0 @ 14.40/2.40 ('#_fresh_sk5' @ Y0) @ 14.40/2.40 ('#_fresh_sk6' @ Y1))))))))))) 14.40/2.40 | ~ (((!!) @ (^[Y0 : a]: 14.40/2.40 (((!!) @ (^[Y1 : a]: 14.40/2.40 ((('#sk1' @ Y0 @ Y1) => ('#sk3' @ Y0 @ 14.40/2.40 ('#sk8' @ Y0) @ ('#sk7' @ Y1)))))))))))), 14.40/2.40 inference('renaming', [status(thm)], [zip_derived_cl50, zip_derived_cl55])). 14.40/2.40 thf(zip_derived_cl65, plain, 14.40/2.40 (( ('#form12') 14.40/2.40 | ~ (((((!!) @ (^[Y0 : a]: 14.40/2.40 (((!!) @ (^[Y1 : a]: 14.40/2.40 ((('#sk1' @ Y0 @ Y1) => ('#sk3' @ Y0 @ 14.40/2.40 ('#_fresh_sk5' @ Y0) @ 14.40/2.40 ('#_fresh_sk6' @ Y1)))))))))) <=> 14.40/2.40 (((!!) @ (^[Y0 : a]: 14.40/2.40 (((!!) @ (^[Y1 : a]: 14.40/2.40 ((('#sk2' @ Y0 @ Y1) => ('#sk4' @ Y0 @ 14.40/2.40 ('#_fresh_sk5' @ Y0) @ 14.40/2.40 ('#_fresh_sk6' @ Y1)))))))))))))), 14.40/2.40 define([status(thm)])). 14.40/2.40 thf(zip_derived_cl68, plain, 14.40/2.40 ((~ ('#form12') 14.40/2.40 | ~ (((!!) @ (^[Y0 : a]: 14.40/2.40 (((!!) @ (^[Y1 : a]: 14.40/2.40 ((('#sk1' @ Y0 @ Y1) => ('#sk3' @ Y0 @ 14.40/2.40 ('#sk8' @ Y0) @ ('#sk7' @ Y1)))))))))) 14.40/2.40 | ~ ('#form9'))), 14.40/2.40 inference('renaming', [status(thm)], [zip_derived_cl58, zip_derived_cl65])). 14.40/2.40 thf(zip_derived_cl73, plain, 14.40/2.40 ((~ (((!!) @ (^[Y0 : a]: 14.40/2.40 ((('#sk1' @ '#sk14' @ Y0) => ('#sk3' @ '#sk14' @ 14.40/2.40 ('#sk8' @ '#sk14') @ ('#sk7' @ Y0))))))) 14.40/2.40 | ~ ('#form9') 14.40/2.40 | ~ ('#form12'))), 14.40/2.40 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl68])). 14.40/2.40 thf(zip_derived_cl81, plain, 14.40/2.40 ((~ ((('#sk1' @ '#sk14' @ '#sk16') => ('#sk3' @ '#sk14' @ 14.40/2.40 ('#sk8' @ '#sk14') @ ('#sk7' @ '#sk16')))) 14.40/2.40 | ~ ('#form12') 14.40/2.40 | ~ ('#form9'))), 14.40/2.40 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl73])). 14.40/2.40 thf(zip_derived_cl88, plain, 14.40/2.40 (( ('#sk1' @ '#sk14' @ '#sk16') | ~ ('#form9') | ~ ('#form12'))), 14.40/2.40 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl81])). 14.40/2.40 thf(zip_derived_cl5, plain, 14.40/2.40 ( (((((!!) @ (^[Y0 : a]: 14.40/2.40 (((!!) @ (^[Y1 : a]: 14.40/2.40 ((('#sk1' @ Y0 @ Y1) => ('#sk1' @ Y1 @ Y0))))))))) & 14.40/2.40 (((!!) @ (^[Y0 : a]: 14.40/2.40 (((!!) @ (^[Y1 : a]: 14.40/2.40 (((!!) @ (^[Y2 : a]: 14.40/2.40 ((((('#sk1' @ Y0 @ Y1) & 14.40/2.40 ('#sk1' @ Y1 @ Y2))) => 14.40/2.40 ('#sk1' @ Y0 @ Y2)))))))))))) & 14.40/2.40 ((('#sk1') = ('#sk2')))))), 14.40/2.40 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl4])). 14.40/2.40 thf(zip_derived_cl7, plain, 14.40/2.40 ( (((!!) @ (^[Y0 : a]: 14.40/2.40 (((!!) @ (^[Y1 : a]: 14.40/2.40 ((('#sk1' @ Y0 @ Y1) => ('#sk1' @ Y1 @ Y0)))))))))), 14.40/2.40 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl5])). 14.40/2.40 thf(zip_derived_cl12, plain, 14.40/2.40 (![X2 : a]: 14.40/2.40 (((!!) @ (^[Y0 : a]: ((('#sk1' @ X2 @ Y0) => ('#sk1' @ Y0 @ X2))))))), 14.40/2.40 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl7])). 14.40/2.40 thf(zip_derived_cl19, plain, 14.40/2.40 (![X2 : a, X4 : a]: ((('#sk1' @ X2 @ X4) => ('#sk1' @ X4 @ X2)))), 14.40/2.40 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl12])). 14.40/2.40 thf(zip_derived_cl24, plain, 14.40/2.40 (![X2 : a, X4 : a]: (~ ('#sk1' @ X2 @ X4) | ('#sk1' @ X4 @ X2))), 14.40/2.40 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl19])). 14.40/2.40 thf(zip_derived_cl130, plain, 14.40/2.40 ((~ ('#form12') | ~ ('#form9') | ('#sk1' @ '#sk16' @ '#sk14'))), 14.40/2.40 inference('sup-', [status(thm)], [zip_derived_cl88, zip_derived_cl24])). 14.40/2.40 thf(zip_derived_cl34, plain, 14.40/2.40 (![X2 : a, X4 : a]: 14.40/2.40 ( ((('#sk3' @ X2) = ('#sk3' @ X4))) | ~ ('#sk1' @ X2 @ X4))), 14.40/2.40 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl26])). 14.40/2.40 thf(zip_derived_cl42, plain, 14.40/2.40 (![X2 : a, X4 : a]: 14.40/2.40 ((('#sk3' @ X2) = ('#sk3' @ X4)) | ~ ('#sk1' @ X2 @ X4))), 14.40/2.40 inference('simplify nested equalities', [status(thm)], [zip_derived_cl34])). 14.40/2.40 thf(zip_derived_cl43, plain, 14.40/2.40 (![X2 : a, X4 : a, X6 : b, X7 : b]: 14.40/2.40 ((('#sk3' @ X2 @ X6 @ X7) = ('#sk3' @ X4 @ X6 @ X7)) 14.40/2.40 | ~ ('#sk1' @ X2 @ X4))), 14.40/2.40 inference('arg_cong_simpl', [status(thm)], [zip_derived_cl42])). 14.40/2.40 thf(zip_derived_cl214, plain, 14.40/2.40 (![X0 : b, X1 : b]: 14.40/2.40 (~ ('#form9') 14.40/2.40 | ~ ('#form12') 14.40/2.40 | (('#sk3' @ '#sk16' @ X1 @ X0) = ('#sk3' @ '#sk14' @ X1 @ X0)))), 14.40/2.40 inference('sup-', [status(thm)], [zip_derived_cl130, zip_derived_cl43])). 14.40/2.40 thf(zip_derived_cl89, plain, 14.40/2.40 ((~ ('#sk3' @ '#sk14' @ ('#sk8' @ '#sk14') @ ('#sk7' @ '#sk16')) 14.40/2.40 | ~ ('#form9') 14.40/2.40 | ~ ('#form12'))), 14.40/2.40 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl81])). 14.40/2.40 thf(zip_derived_cl879, plain, 14.40/2.40 ((~ ('#sk3' @ '#sk16' @ ('#sk8' @ '#sk14') @ ('#sk7' @ '#sk16')) 14.40/2.40 | ~ ('#form12') 14.40/2.40 | ~ ('#form9') 14.40/2.40 | ~ ('#form12') 14.40/2.40 | ~ ('#form9'))), 14.40/2.40 inference('sup-', [status(thm)], [zip_derived_cl214, zip_derived_cl89])). 14.40/2.40 thf(zip_derived_cl900, plain, 14.40/2.40 ((~ ('#form9') 14.40/2.40 | ~ ('#form12') 14.40/2.40 | ~ ('#sk3' @ '#sk16' @ ('#sk8' @ '#sk14') @ ('#sk7' @ '#sk16')))), 14.40/2.40 inference('simplify', [status(thm)], [zip_derived_cl879])). 14.40/2.40 thf(zip_derived_cl2866, plain, 14.40/2.40 ((~ ('#sk1' @ '#sk16' @ '#sk14') 14.40/2.40 | ~ ('#form12') 14.40/2.40 | ~ ('#form9') 14.40/2.40 | ~ ('#form12') 14.40/2.40 | ~ ('#form9'))), 14.40/2.40 inference('sup-', [status(thm)], [zip_derived_cl2847, zip_derived_cl900])). 14.40/2.40 thf(zip_derived_cl2922, plain, 14.40/2.40 ((~ ('#form9') | ~ ('#form12') | ~ ('#sk1' @ '#sk16' @ '#sk14'))), 14.40/2.40 inference('simplify', [status(thm)], [zip_derived_cl2866])). 14.40/2.40 thf(zip_derived_cl130, plain, 14.40/2.40 ((~ ('#form12') | ~ ('#form9') | ('#sk1' @ '#sk16' @ '#sk14'))), 14.40/2.40 inference('sup-', [status(thm)], [zip_derived_cl88, zip_derived_cl24])). 14.40/2.40 thf(zip_derived_cl2946, plain, ((~ ('#form12') | ~ ('#form9'))), 14.40/2.40 inference('clc', [status(thm)], [zip_derived_cl2922, zip_derived_cl130])). 14.40/2.40 thf(zip_derived_cl65, plain, 14.40/2.40 (( ('#form12') 14.40/2.40 | ~ (((((!!) @ (^[Y0 : a]: 14.40/2.40 (((!!) @ (^[Y1 : a]: 14.40/2.40 ((('#sk1' @ Y0 @ Y1) => ('#sk3' @ Y0 @ 14.40/2.40 ('#_fresh_sk5' @ Y0) @ 14.40/2.40 ('#_fresh_sk6' @ Y1)))))))))) <=> 14.40/2.40 (((!!) @ (^[Y0 : a]: 14.40/2.40 (((!!) @ (^[Y1 : a]: 14.40/2.40 ((('#sk2' @ Y0 @ Y1) => ('#sk4' @ Y0 @ 14.40/2.40 ('#_fresh_sk5' @ Y0) @ 14.40/2.40 ('#_fresh_sk6' @ Y1)))))))))))))), 14.40/2.40 define([status(thm)])). 14.40/2.40 thf(zip_derived_cl67, plain, 14.40/2.40 ((~ (((!!) @ (^[Y0 : a]: 14.40/2.40 (((!!) @ (^[Y1 : a]: 14.40/2.40 ((('#sk1' @ Y0 @ Y1) => ('#sk3' @ Y0 @ 14.40/2.40 ('#_fresh_sk5' @ Y0) @ 14.40/2.40 ('#_fresh_sk6' @ Y1)))))))))) 14.40/2.40 | ~ (((!!) @ (^[Y0 : a]: 14.40/2.40 (((!!) @ (^[Y1 : a]: 14.40/2.40 ((('#sk2' @ Y0 @ Y1) => ('#sk4' @ Y0 @ 14.40/2.40 ('#_fresh_sk5' @ Y0) @ 14.40/2.40 ('#_fresh_sk6' @ Y1)))))))))) 14.40/2.40 | ('#form12'))), 14.40/2.40 inference('lazy_cnf_xor', [status(thm)], [zip_derived_cl65])). 14.40/2.40 thf(zip_derived_cl74, plain, 14.40/2.40 ((~ (((!!) @ (^[Y0 : a]: 14.40/2.40 ((('#sk1' @ '#sk15' @ Y0) => ('#sk3' @ '#sk15' @ 14.40/2.40 ('#_fresh_sk5' @ '#sk15') @ ('#_fresh_sk6' @ Y0))))))) 14.40/2.40 | ('#form12') 14.40/2.40 | ~ (((!!) @ (^[Y0 : a]: 14.40/2.40 (((!!) @ (^[Y1 : a]: 14.40/2.40 ((('#sk2' @ Y0 @ Y1) => ('#sk4' @ Y0 @ 14.40/2.40 ('#_fresh_sk5' @ Y0) @ 14.40/2.40 ('#_fresh_sk6' @ Y1)))))))))))), 14.40/2.40 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl67])). 14.40/2.40 thf(zip_derived_cl82, plain, 14.40/2.40 ((~ ((('#sk1' @ '#sk15' @ '#sk17') => ('#sk3' @ '#sk15' @ 14.40/2.40 ('#_fresh_sk5' @ '#sk15') @ ('#_fresh_sk6' @ '#sk17')))) 14.40/2.40 | ~ (((!!) @ (^[Y0 : a]: 14.40/2.40 (((!!) @ (^[Y1 : a]: 14.40/2.40 ((('#sk2' @ Y0 @ Y1) => ('#sk4' @ Y0 @ 14.40/2.40 ('#_fresh_sk5' @ Y0) @ 14.40/2.40 ('#_fresh_sk6' @ Y1)))))))))) 14.40/2.40 | ('#form12'))), 14.40/2.40 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl74])). 14.40/2.40 thf(zip_derived_cl90, plain, 14.40/2.40 (( ('#sk1' @ '#sk15' @ '#sk17') 14.40/2.40 | ('#form12') 14.40/2.40 | ~ (((!!) @ (^[Y0 : a]: 14.40/2.40 (((!!) @ (^[Y1 : a]: 14.40/2.40 ((('#sk2' @ Y0 @ Y1) => ('#sk4' @ Y0 @ 14.40/2.40 ('#_fresh_sk5' @ Y0) @ 14.40/2.40 ('#_fresh_sk6' @ Y1)))))))))))), 14.40/2.40 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl82])). 14.40/2.40 thf(zip_derived_cl96, plain, 14.40/2.40 (( ('#form20') 14.40/2.40 | ~ (((!!) @ (^[Y0 : a]: 14.40/2.40 (((!!) @ (^[Y1 : a]: 14.40/2.40 ((('#sk2' @ Y0 @ Y1) => ('#sk4' @ Y0 @ 14.40/2.40 ('#_fresh_sk5' @ Y0) @ 14.40/2.40 ('#_fresh_sk6' @ Y1)))))))))))), 14.40/2.40 define([status(thm)])). 14.40/2.40 thf(zip_derived_cl97, plain, 14.40/2.40 ((~ (((!!) @ (^[Y0 : a]: 14.40/2.40 ((('#sk2' @ '#sk21' @ Y0) => ('#sk4' @ '#sk21' @ 14.40/2.40 ('#_fresh_sk5' @ '#sk21') @ ('#_fresh_sk6' @ Y0))))))) 14.40/2.40 | ('#form20'))), 14.40/2.40 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl96])). 14.40/2.40 thf(zip_derived_cl107, plain, 14.40/2.40 ((~ ((('#sk2' @ '#sk21' @ '#sk22') => ('#sk4' @ '#sk21' @ 14.40/2.40 ('#_fresh_sk5' @ '#sk21') @ ('#_fresh_sk6' @ '#sk22')))) 14.40/2.40 | ('#form20'))), 14.40/2.40 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl97])). 14.40/2.40 thf(zip_derived_cl111, plain, 14.40/2.40 (( ('#sk2' @ '#sk21' @ '#sk22') | ('#form20'))), 14.40/2.40 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl107])). 14.40/2.40 thf(zip_derived_cl9, plain, ( ((('#sk1') = ('#sk2')))), 14.40/2.40 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl5])). 14.40/2.40 thf(zip_derived_cl14, plain, ((('#sk1') = ('#sk2'))), 14.40/2.40 inference('simplify nested equalities', [status(thm)], [zip_derived_cl9])). 14.40/2.40 thf(zip_derived_cl15, plain, 14.40/2.40 (![X2 : a, X3 : a]: (('#sk1' @ X2 @ X3) = ('#sk2' @ X2 @ X3))), 14.40/2.40 inference('arg_cong_simpl', [status(thm)], [zip_derived_cl14])). 14.40/2.40 thf(zip_derived_cl114, plain, 14.40/2.40 (![X2 : a, X3 : a]: ( ('#sk1' @ X2 @ X3) | ~ ('#sk2' @ X2 @ X3))), 14.40/2.40 inference('eq_elim', [status(thm)], [zip_derived_cl15])). 14.40/2.40 thf(zip_derived_cl143, plain, 14.40/2.40 (( ('#form20') | ('#sk1' @ '#sk21' @ '#sk22'))), 14.40/2.40 inference('sup-', [status(thm)], [zip_derived_cl111, zip_derived_cl114])). 14.40/2.40 thf(zip_derived_cl65, plain, 14.40/2.40 (( ('#form12') 14.40/2.40 | ~ (((((!!) @ (^[Y0 : a]: 14.40/2.40 (((!!) @ (^[Y1 : a]: 14.40/2.40 ((('#sk1' @ Y0 @ Y1) => ('#sk3' @ Y0 @ 14.40/2.40 ('#_fresh_sk5' @ Y0) @ 14.40/2.40 ('#_fresh_sk6' @ Y1)))))))))) <=> 14.40/2.40 (((!!) @ (^[Y0 : a]: 14.40/2.40 (((!!) @ (^[Y1 : a]: 14.40/2.40 ((('#sk2' @ Y0 @ Y1) => ('#sk4' @ Y0 @ 14.40/2.40 ('#_fresh_sk5' @ Y0) @ 14.40/2.40 ('#_fresh_sk6' @ Y1)))))))))))))), 14.40/2.40 define([status(thm)])). 14.40/2.40 thf(zip_derived_cl66, plain, 14.40/2.40 (( (((!!) @ (^[Y0 : a]: 14.40/2.40 (((!!) @ (^[Y1 : a]: 14.40/2.40 ((('#sk1' @ Y0 @ Y1) => ('#sk3' @ Y0 @ 14.40/2.40 ('#_fresh_sk5' @ Y0) @ ('#_fresh_sk6' @ Y1)))))))))) 14.40/2.40 | (((!!) @ (^[Y0 : a]: 14.40/2.40 (((!!) @ (^[Y1 : a]: 14.40/2.40 ((('#sk2' @ Y0 @ Y1) => ('#sk4' @ Y0 @ 14.40/2.40 ('#_fresh_sk5' @ Y0) @ 14.40/2.40 ('#_fresh_sk6' @ Y1)))))))))) 14.40/2.40 | ('#form12'))), 14.40/2.40 inference('lazy_cnf_xor', [status(thm)], [zip_derived_cl65])). 14.40/2.40 thf(zip_derived_cl75, plain, 14.40/2.40 (![X2 : a]: 14.40/2.40 ( (((!!) @ (^[Y0 : a]: 14.40/2.40 ((('#sk1' @ X2 @ Y0) => ('#sk3' @ X2 @ 14.40/2.40 ('#_fresh_sk5' @ X2) @ ('#_fresh_sk6' @ Y0))))))) 14.40/2.40 | ('#form12') 14.40/2.40 | (((!!) @ (^[Y0 : a]: 14.40/2.40 (((!!) @ (^[Y1 : a]: 14.40/2.40 ((('#sk2' @ Y0 @ Y1) => ('#sk4' @ Y0 @ 14.40/2.40 ('#_fresh_sk5' @ Y0) @ 14.40/2.40 ('#_fresh_sk6' @ Y1)))))))))))), 14.40/2.40 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl66])). 14.40/2.40 thf(zip_derived_cl83, plain, 14.40/2.40 (![X2 : a, X4 : a]: 14.40/2.40 ( ((('#sk1' @ X2 @ X4) => ('#sk3' @ X2 @ ('#_fresh_sk5' @ X2) @ 14.40/2.40 ('#_fresh_sk6' @ X4)))) 14.40/2.40 | (((!!) @ (^[Y0 : a]: 14.40/2.40 (((!!) @ (^[Y1 : a]: 14.40/2.40 ((('#sk2' @ Y0 @ Y1) => ('#sk4' @ Y0 @ 14.40/2.40 ('#_fresh_sk5' @ Y0) @ 14.40/2.40 ('#_fresh_sk6' @ Y1)))))))))) 14.40/2.40 | ('#form12'))), 14.40/2.40 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl75])). 14.40/2.40 thf(zip_derived_cl92, plain, 14.40/2.40 (![X2 : a, X4 : a]: 14.40/2.40 (~ ('#sk1' @ X2 @ X4) 14.40/2.40 | ('#sk3' @ X2 @ ('#_fresh_sk5' @ X2) @ ('#_fresh_sk6' @ X4)) 14.40/2.40 | ('#form12') 14.40/2.40 | (((!!) @ (^[Y0 : a]: 14.40/2.40 (((!!) @ (^[Y1 : a]: 14.40/2.40 ((('#sk2' @ Y0 @ Y1) => ('#sk4' @ Y0 @ 14.40/2.40 ('#_fresh_sk5' @ Y0) @ 14.40/2.40 ('#_fresh_sk6' @ Y1)))))))))))), 14.40/2.40 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl83])). 14.40/2.40 thf(zip_derived_cl92, plain, 14.40/2.40 (![X2 : a, X4 : a]: 14.40/2.40 (~ ('#sk1' @ X2 @ X4) 14.40/2.40 | ('#sk3' @ X2 @ ('#_fresh_sk5' @ X2) @ ('#_fresh_sk6' @ X4)) 14.40/2.40 | ('#form12') 14.40/2.40 | (((!!) @ (^[Y0 : a]: 14.40/2.40 (((!!) @ (^[Y1 : a]: 14.40/2.40 ((('#sk2' @ Y0 @ Y1) => ('#sk4' @ Y0 @ 14.40/2.40 ('#_fresh_sk5' @ Y0) @ 14.40/2.40 ('#_fresh_sk6' @ Y1)))))))))))), 14.40/2.40 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl83])). 14.40/2.40 thf(zip_derived_cl100, plain, 14.40/2.40 ((~ ('#form20') 14.40/2.40 | (((!!) @ (^[Y0 : a]: 14.40/2.40 (((!!) @ (^[Y1 : a]: 14.40/2.40 ((('#sk2' @ Y0 @ Y1) => ('#sk4' @ Y0 @ 14.40/2.40 ('#_fresh_sk5' @ Y0) @ 14.40/2.40 ('#_fresh_sk6' @ Y1)))))))))))), 14.40/2.40 define([status(thm)])). 14.40/2.40 thf(zip_derived_cl96, plain, 14.40/2.40 (( ('#form20') 14.40/2.40 | ~ (((!!) @ (^[Y0 : a]: 14.40/2.40 (((!!) @ (^[Y1 : a]: 14.40/2.40 ((('#sk2' @ Y0 @ Y1) => ('#sk4' @ Y0 @ 14.40/2.40 ('#_fresh_sk5' @ Y0) @ 14.40/2.40 ('#_fresh_sk6' @ Y1)))))))))))), 14.40/2.40 define([status(thm)])). 14.40/2.40 thf(zip_derived_cl102, plain, 14.40/2.40 (![X2 : a, X4 : a]: 14.40/2.40 ( ('#form20') 14.40/2.40 | ('#form12') 14.40/2.40 | ('#sk3' @ X2 @ ('#_fresh_sk5' @ X2) @ ('#_fresh_sk6' @ X4)) 14.40/2.40 | ~ ('#sk1' @ X2 @ X4))), 14.40/2.40 inference('renaming', [status(thm)], 14.40/2.40 [zip_derived_cl92, zip_derived_cl100, zip_derived_cl96])). 14.40/2.40 thf(zip_derived_cl439, plain, 14.40/2.40 (( ('#form20') 14.40/2.40 | ('#sk3' @ '#sk21' @ ('#_fresh_sk5' @ '#sk21') @ 14.40/2.40 ('#_fresh_sk6' @ '#sk22')) 14.40/2.40 | ('#form12') 14.40/2.40 | ('#form20'))), 14.40/2.40 inference('sup-', [status(thm)], [zip_derived_cl143, zip_derived_cl102])). 14.40/2.40 thf(zip_derived_cl461, plain, 14.40/2.40 (( ('#form12') 14.40/2.40 | ('#sk3' @ '#sk21' @ ('#_fresh_sk5' @ '#sk21') @ 14.40/2.40 ('#_fresh_sk6' @ '#sk22')) 14.40/2.40 | ('#form20'))), 14.40/2.40 inference('simplify', [status(thm)], [zip_derived_cl439])). 14.40/2.40 thf(zip_derived_cl111, plain, 14.40/2.40 (( ('#sk2' @ '#sk21' @ '#sk22') | ('#form20'))), 14.40/2.40 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl107])). 14.40/2.40 thf(zip_derived_cl15, plain, 14.40/2.40 (![X2 : a, X3 : a]: (('#sk1' @ X2 @ X3) = ('#sk2' @ X2 @ X3))), 14.40/2.40 inference('arg_cong_simpl', [status(thm)], [zip_derived_cl14])). 14.40/2.40 thf(zip_derived_cl24, plain, 14.40/2.40 (![X2 : a, X4 : a]: (~ ('#sk1' @ X2 @ X4) | ('#sk1' @ X4 @ X2))), 14.40/2.40 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl19])). 14.40/2.40 thf(zip_derived_cl120, plain, 14.40/2.40 (![X0 : a, X1 : a]: (~ ('#sk2' @ X1 @ X0) | ('#sk1' @ X0 @ X1))), 14.40/2.40 inference('sup-', [status(thm)], [zip_derived_cl15, zip_derived_cl24])). 14.40/2.40 thf(zip_derived_cl142, plain, 14.40/2.40 (( ('#form20') | ('#sk1' @ '#sk22' @ '#sk21'))), 14.40/2.40 inference('sup-', [status(thm)], [zip_derived_cl111, zip_derived_cl120])). 14.40/2.40 thf(zip_derived_cl43, plain, 14.40/2.40 (![X2 : a, X4 : a, X6 : b, X7 : b]: 14.40/2.40 ((('#sk3' @ X2 @ X6 @ X7) = ('#sk3' @ X4 @ X6 @ X7)) 14.40/2.40 | ~ ('#sk1' @ X2 @ X4))), 14.40/2.40 inference('arg_cong_simpl', [status(thm)], [zip_derived_cl42])). 14.40/2.40 thf(zip_derived_cl210, plain, 14.40/2.40 (![X0 : b, X1 : b]: 14.40/2.40 ( ('#form20') 14.40/2.41 | (('#sk3' @ '#sk22' @ X1 @ X0) = ('#sk3' @ '#sk21' @ X1 @ X0)))), 14.40/2.41 inference('sup-', [status(thm)], [zip_derived_cl142, zip_derived_cl43])). 14.40/2.41 thf(zip_derived_cl210, plain, 14.40/2.41 (![X0 : b, X1 : b]: 14.40/2.41 ( ('#form20') 14.40/2.41 | (('#sk3' @ '#sk22' @ X1 @ X0) = ('#sk3' @ '#sk21' @ X1 @ X0)))), 14.40/2.41 inference('sup-', [status(thm)], [zip_derived_cl142, zip_derived_cl43])). 14.40/2.41 thf(zip_derived_cl17, plain, 14.40/2.41 ( (((!!) @ (^[Y0 : a]: 14.40/2.41 ((('#sk1' @ Y0 @ Y0) => 14.40/2.41 (((((!!) @ (^[Y1 : b]: 14.40/2.41 (((!!) @ (^[Y2 : b]: 14.40/2.41 (((!!) @ (^[Y3 : b]: 14.40/2.41 ((((('#sk3' @ Y0 @ 14.40/2.41 Y1 @ Y2) & 14.40/2.41 ('#sk3' @ Y0 @ 14.40/2.41 Y2 @ Y3))) => 14.40/2.41 ('#sk3' @ Y0 @ 14.40/2.41 Y1 @ Y3)))))))))))) & 14.40/2.41 ((('#sk3' @ Y0) = ('#sk4' @ Y0))) & 14.40/2.41 (((!!) @ (^[Y1 : b]: 14.40/2.41 (((!!) @ (^[Y2 : b]: 14.40/2.41 ((('#sk3' @ Y0 @ Y1 @ Y2) => 14.40/2.41 ('#sk3' @ Y0 @ Y2 @ Y1))))))))))))))))), 14.40/2.41 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl11])). 14.40/2.41 thf(zip_derived_cl22, plain, 14.40/2.41 (![X2 : a]: 14.40/2.41 ((('#sk1' @ X2 @ X2) => 14.40/2.41 (((((!!) @ (^[Y0 : b]: 14.40/2.41 (((!!) @ (^[Y1 : b]: 14.40/2.41 (((!!) @ (^[Y2 : b]: 14.40/2.41 ((((('#sk3' @ X2 @ Y0 @ Y1) & 14.40/2.41 ('#sk3' @ X2 @ Y1 @ Y2))) => 14.40/2.41 ('#sk3' @ X2 @ Y0 @ Y2)))))))))))) & 14.40/2.41 ((('#sk3' @ X2) = ('#sk4' @ X2))) & 14.40/2.41 (((!!) @ (^[Y0 : b]: 14.40/2.41 (((!!) @ (^[Y1 : b]: 14.40/2.41 ((('#sk3' @ X2 @ Y0 @ Y1) => ('#sk3' @ 14.40/2.41 X2 @ Y1 @ Y0)))))))))))))), 14.40/2.41 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl17])). 14.40/2.41 thf(zip_derived_cl27, plain, 14.40/2.41 (![X2 : a]: 14.40/2.41 (~ ('#sk1' @ X2 @ X2) 14.40/2.41 | (((((!!) @ (^[Y0 : b]: 14.40/2.41 (((!!) @ (^[Y1 : b]: 14.40/2.41 (((!!) @ (^[Y2 : b]: 14.40/2.41 ((((('#sk3' @ X2 @ Y0 @ 14.40/2.41 Y1) & ('#sk3' @ X2 @ 14.40/2.41 Y1 @ Y2))) => 14.40/2.41 ('#sk3' @ X2 @ Y0 @ Y2)))))))))))) & 14.40/2.41 ((('#sk3' @ X2) = ('#sk4' @ X2))) & 14.40/2.41 (((!!) @ (^[Y0 : b]: 14.40/2.41 (((!!) @ (^[Y1 : b]: 14.40/2.41 ((('#sk3' @ X2 @ Y0 @ Y1) => ('#sk3' @ 14.40/2.41 X2 @ Y1 @ Y0))))))))))))), 14.40/2.41 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl22])). 14.40/2.41 thf(zip_derived_cl37, plain, 14.40/2.41 (![X2 : a]: ( ((('#sk3' @ X2) = ('#sk4' @ X2))) | ~ ('#sk1' @ X2 @ X2))), 14.40/2.41 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl27])). 14.40/2.41 thf(zip_derived_cl46, plain, 14.40/2.41 (![X2 : a]: ((('#sk3' @ X2) = ('#sk4' @ X2)) | ~ ('#sk1' @ X2 @ X2))), 14.40/2.41 inference('simplify nested equalities', [status(thm)], [zip_derived_cl37])). 14.40/2.41 thf(zip_derived_cl47, plain, 14.40/2.41 (![X2 : a, X4 : b, X5 : b]: 14.40/2.41 ((('#sk3' @ X2 @ X4 @ X5) = ('#sk4' @ X2 @ X4 @ X5)) 14.40/2.41 | ~ ('#sk1' @ X2 @ X2))), 14.40/2.41 inference('arg_cong_simpl', [status(thm)], [zip_derived_cl46])). 14.40/2.41 thf(zip_derived_cl112, plain, 14.40/2.41 ((~ ('#sk4' @ '#sk21' @ ('#_fresh_sk5' @ '#sk21') @ 14.40/2.41 ('#_fresh_sk6' @ '#sk22')) 14.40/2.41 | ('#form20'))), 14.40/2.41 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl107])). 14.40/2.41 thf(zip_derived_cl253, plain, 14.40/2.41 ((~ ('#sk3' @ '#sk21' @ ('#_fresh_sk5' @ '#sk21') @ 14.40/2.41 ('#_fresh_sk6' @ '#sk22')) 14.40/2.41 | ~ ('#sk1' @ '#sk21' @ '#sk21') 14.40/2.41 | ('#form20'))), 14.40/2.41 inference('sup-', [status(thm)], [zip_derived_cl47, zip_derived_cl112])). 14.40/2.41 thf(zip_derived_cl496, plain, 14.40/2.41 ((~ ('#sk3' @ '#sk22' @ ('#_fresh_sk5' @ '#sk21') @ 14.40/2.41 ('#_fresh_sk6' @ '#sk22')) 14.40/2.41 | ('#form20') 14.40/2.41 | ('#form20') 14.40/2.41 | ~ ('#sk1' @ '#sk21' @ '#sk21'))), 14.40/2.41 inference('sup-', [status(thm)], [zip_derived_cl210, zip_derived_cl253])). 14.40/2.41 thf(zip_derived_cl502, plain, 14.40/2.41 ((~ ('#sk1' @ '#sk21' @ '#sk21') 14.40/2.41 | ('#form20') 14.40/2.41 | ~ ('#sk3' @ '#sk22' @ ('#_fresh_sk5' @ '#sk21') @ 14.40/2.41 ('#_fresh_sk6' @ '#sk22')))), 14.40/2.41 inference('simplify', [status(thm)], [zip_derived_cl496])). 14.40/2.41 thf(zip_derived_cl47, plain, 14.40/2.41 (![X2 : a, X4 : b, X5 : b]: 14.40/2.41 ((('#sk3' @ X2 @ X4 @ X5) = ('#sk4' @ X2 @ X4 @ X5)) 14.40/2.41 | ~ ('#sk1' @ X2 @ X2))), 14.40/2.41 inference('arg_cong_simpl', [status(thm)], [zip_derived_cl46])). 14.40/2.41 thf(zip_derived_cl761, plain, 14.40/2.41 ((~ ('#sk4' @ '#sk22' @ ('#_fresh_sk5' @ '#sk21') @ 14.40/2.41 ('#_fresh_sk6' @ '#sk22')) 14.40/2.41 | ('#form20') 14.40/2.41 | ~ ('#sk1' @ '#sk21' @ '#sk21') 14.40/2.41 | ~ ('#sk1' @ '#sk22' @ '#sk22'))), 14.40/2.41 inference('sup+', [status(thm)], [zip_derived_cl502, zip_derived_cl47])). 14.40/2.41 thf(zip_derived_cl142, plain, 14.40/2.41 (( ('#form20') | ('#sk1' @ '#sk22' @ '#sk21'))), 14.40/2.41 inference('sup-', [status(thm)], [zip_derived_cl111, zip_derived_cl120])). 14.40/2.41 thf(zip_derived_cl143, plain, 14.40/2.41 (( ('#form20') | ('#sk1' @ '#sk21' @ '#sk22'))), 14.40/2.41 inference('sup-', [status(thm)], [zip_derived_cl111, zip_derived_cl114])). 14.40/2.41 thf(zip_derived_cl8, plain, 14.40/2.41 ( (((!!) @ (^[Y0 : a]: 14.40/2.41 (((!!) @ (^[Y1 : a]: 14.40/2.41 (((!!) @ (^[Y2 : a]: 14.40/2.41 ((((('#sk1' @ Y0 @ Y1) & ('#sk1' @ 14.40/2.41 Y1 @ Y2))) => 14.40/2.41 ('#sk1' @ Y0 @ Y2))))))))))))), 14.40/2.41 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl5])). 14.40/2.41 thf(zip_derived_cl13, plain, 14.40/2.41 (![X2 : a]: 14.40/2.41 (((!!) @ (^[Y0 : a]: 14.40/2.41 (((!!) @ (^[Y1 : a]: 14.40/2.41 ((((('#sk1' @ X2 @ Y0) & ('#sk1' @ Y0 @ Y1))) => 14.40/2.41 ('#sk1' @ X2 @ Y1)))))))))), 14.40/2.41 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl8])). 14.40/2.41 thf(zip_derived_cl20, plain, 14.40/2.41 (![X2 : a, X4 : a]: 14.40/2.41 (((!!) @ (^[Y0 : a]: 14.40/2.41 ((((('#sk1' @ X2 @ X4) & ('#sk1' @ X4 @ Y0))) => 14.40/2.41 ('#sk1' @ X2 @ Y0))))))), 14.40/2.41 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl13])). 14.40/2.41 thf(zip_derived_cl25, plain, 14.40/2.41 (![X2 : a, X4 : a, X6 : a]: 14.40/2.41 ((((('#sk1' @ X2 @ X4) & ('#sk1' @ X4 @ X6))) => ('#sk1' @ X2 @ X6)))), 14.40/2.41 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl20])). 14.40/2.41 thf(zip_derived_cl32, plain, 14.40/2.41 (![X2 : a, X4 : a, X6 : a]: 14.40/2.41 (~ ((('#sk1' @ X2 @ X4) & ('#sk1' @ X4 @ X6))) | ('#sk1' @ X2 @ X6))), 14.40/2.41 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl25])). 14.40/2.41 thf(zip_derived_cl40, plain, 14.40/2.41 (![X2 : a, X4 : a, X6 : a]: 14.40/2.41 (~ ('#sk1' @ X2 @ X4) | ~ ('#sk1' @ X4 @ X6) | ('#sk1' @ X2 @ X6))), 14.40/2.41 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl32])). 14.40/2.41 thf(zip_derived_cl180, plain, 14.40/2.41 (![X0 : a]: 14.40/2.41 ( ('#form20') | ('#sk1' @ '#sk21' @ X0) | ~ ('#sk1' @ '#sk22' @ X0))), 14.40/2.41 inference('sup-', [status(thm)], [zip_derived_cl143, zip_derived_cl40])). 14.40/2.41 thf(zip_derived_cl820, plain, 14.40/2.41 (( ('#form20') | ('#sk1' @ '#sk21' @ '#sk21') | ('#form20'))), 14.40/2.41 inference('sup-', [status(thm)], [zip_derived_cl142, zip_derived_cl180])). 14.40/2.41 thf(zip_derived_cl826, plain, 14.40/2.41 (( ('#sk1' @ '#sk21' @ '#sk21') | ('#form20'))), 14.40/2.41 inference('simplify', [status(thm)], [zip_derived_cl820])). 14.40/2.41 thf(zip_derived_cl1445, plain, 14.40/2.41 ((~ ('#sk1' @ '#sk22' @ '#sk22') 14.40/2.41 | ('#form20') 14.40/2.41 | ~ ('#sk4' @ '#sk22' @ ('#_fresh_sk5' @ '#sk21') @ 14.40/2.41 ('#_fresh_sk6' @ '#sk22')))), 14.40/2.41 inference('clc', [status(thm)], [zip_derived_cl761, zip_derived_cl826])). 14.40/2.41 thf(zip_derived_cl143, plain, 14.40/2.41 (( ('#form20') | ('#sk1' @ '#sk21' @ '#sk22'))), 14.40/2.41 inference('sup-', [status(thm)], [zip_derived_cl111, zip_derived_cl114])). 14.40/2.41 thf(zip_derived_cl142, plain, 14.40/2.41 (( ('#form20') | ('#sk1' @ '#sk22' @ '#sk21'))), 14.40/2.41 inference('sup-', [status(thm)], [zip_derived_cl111, zip_derived_cl120])). 14.40/2.41 thf(zip_derived_cl40, plain, 14.40/2.41 (![X2 : a, X4 : a, X6 : a]: 14.40/2.41 (~ ('#sk1' @ X2 @ X4) | ~ ('#sk1' @ X4 @ X6) | ('#sk1' @ X2 @ X6))), 14.40/2.41 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl32])). 14.40/2.41 thf(zip_derived_cl172, plain, 14.40/2.41 (![X0 : a]: 14.40/2.41 ( ('#form20') | ('#sk1' @ '#sk22' @ X0) | ~ ('#sk1' @ '#sk21' @ X0))), 14.40/2.41 inference('sup-', [status(thm)], [zip_derived_cl142, zip_derived_cl40])). 14.40/2.41 thf(zip_derived_cl788, plain, 14.40/2.41 (( ('#form20') | ('#sk1' @ '#sk22' @ '#sk22') | ('#form20'))), 14.40/2.41 inference('sup-', [status(thm)], [zip_derived_cl143, zip_derived_cl172])). 14.40/2.41 thf(zip_derived_cl792, plain, 14.40/2.41 (( ('#sk1' @ '#sk22' @ '#sk22') | ('#form20'))), 14.40/2.41 inference('simplify', [status(thm)], [zip_derived_cl788])). 14.40/2.41 thf(zip_derived_cl1446, plain, 14.40/2.41 ((~ ('#sk4' @ '#sk22' @ ('#_fresh_sk5' @ '#sk21') @ 14.40/2.41 ('#_fresh_sk6' @ '#sk22')) 14.40/2.41 | ('#form20'))), 14.40/2.41 inference('clc', [status(thm)], [zip_derived_cl1445, zip_derived_cl792])). 14.40/2.41 thf(zip_derived_cl47, plain, 14.40/2.41 (![X2 : a, X4 : b, X5 : b]: 14.40/2.41 ((('#sk3' @ X2 @ X4 @ X5) = ('#sk4' @ X2 @ X4 @ X5)) 14.40/2.41 | ~ ('#sk1' @ X2 @ X2))), 14.40/2.41 inference('arg_cong_simpl', [status(thm)], [zip_derived_cl46])). 14.40/2.41 thf(zip_derived_cl1447, plain, 14.40/2.41 ((~ ('#sk3' @ '#sk22' @ ('#_fresh_sk5' @ '#sk21') @ 14.40/2.41 ('#_fresh_sk6' @ '#sk22')) 14.40/2.41 | ('#form20') 14.40/2.41 | ~ ('#sk1' @ '#sk22' @ '#sk22'))), 14.40/2.41 inference('sup+', [status(thm)], [zip_derived_cl1446, zip_derived_cl47])). 14.40/2.41 thf(zip_derived_cl792, plain, 14.40/2.41 (( ('#sk1' @ '#sk22' @ '#sk22') | ('#form20'))), 14.40/2.41 inference('simplify', [status(thm)], [zip_derived_cl788])). 14.40/2.41 thf(zip_derived_cl1451, plain, 14.40/2.41 (( ('#form20') 14.40/2.41 | ~ ('#sk3' @ '#sk22' @ ('#_fresh_sk5' @ '#sk21') @ 14.40/2.41 ('#_fresh_sk6' @ '#sk22')))), 14.40/2.41 inference('clc', [status(thm)], [zip_derived_cl1447, zip_derived_cl792])). 14.40/2.41 thf(zip_derived_cl1454, plain, 14.40/2.41 ((~ ('#sk3' @ '#sk21' @ ('#_fresh_sk5' @ '#sk21') @ 14.40/2.41 ('#_fresh_sk6' @ '#sk22')) 14.40/2.41 | ('#form20') 14.40/2.41 | ('#form20'))), 14.40/2.41 inference('sup-', [status(thm)], [zip_derived_cl210, zip_derived_cl1451])). 14.40/2.41 thf(zip_derived_cl1460, plain, 14.40/2.41 (( ('#form20') 14.40/2.41 | ~ ('#sk3' @ '#sk21' @ ('#_fresh_sk5' @ '#sk21') @ 14.40/2.41 ('#_fresh_sk6' @ '#sk22')))), 14.40/2.41 inference('simplify', [status(thm)], [zip_derived_cl1454])). 14.40/2.41 thf(zip_derived_cl4256, plain, (( ('#form20') | ('#form12'))), 14.40/2.41 inference('clc', [status(thm)], [zip_derived_cl461, zip_derived_cl1460])). 14.40/2.41 thf(zip_derived_cl90, plain, 14.40/2.41 (( ('#sk1' @ '#sk15' @ '#sk17') 14.40/2.41 | ('#form12') 14.40/2.41 | ~ (((!!) @ (^[Y0 : a]: 14.40/2.41 (((!!) @ (^[Y1 : a]: 14.40/2.41 ((('#sk2' @ Y0 @ Y1) => ('#sk4' @ Y0 @ 14.40/2.41 ('#_fresh_sk5' @ Y0) @ 14.40/2.41 ('#_fresh_sk6' @ Y1)))))))))))), 14.40/2.41 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl82])). 14.40/2.41 thf(zip_derived_cl96, plain, 14.40/2.41 (( ('#form20') 14.40/2.41 | ~ (((!!) @ (^[Y0 : a]: 14.40/2.41 (((!!) @ (^[Y1 : a]: 14.40/2.41 ((('#sk2' @ Y0 @ Y1) => ('#sk4' @ Y0 @ 14.40/2.41 ('#_fresh_sk5' @ Y0) @ 14.40/2.41 ('#_fresh_sk6' @ Y1)))))))))))), 14.40/2.41 define([status(thm)])). 14.40/2.41 thf(zip_derived_cl98, plain, 14.40/2.41 ((~ ('#form20') | ('#form12') | ('#sk1' @ '#sk15' @ '#sk17'))), 14.40/2.41 inference('renaming', [status(thm)], [zip_derived_cl90, zip_derived_cl96])). 14.40/2.41 thf(zip_derived_cl24, plain, 14.40/2.41 (![X2 : a, X4 : a]: (~ ('#sk1' @ X2 @ X4) | ('#sk1' @ X4 @ X2))), 14.40/2.41 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl19])). 14.40/2.41 thf(zip_derived_cl402, plain, 14.40/2.41 (( ('#form12') | ~ ('#form20') | ('#sk1' @ '#sk17' @ '#sk15'))), 14.40/2.41 inference('sup-', [status(thm)], [zip_derived_cl98, zip_derived_cl24])). 14.40/2.41 thf(zip_derived_cl98, plain, 14.40/2.41 ((~ ('#form20') | ('#form12') | ('#sk1' @ '#sk15' @ '#sk17'))), 14.40/2.41 inference('renaming', [status(thm)], [zip_derived_cl90, zip_derived_cl96])). 14.40/2.41 thf(zip_derived_cl40, plain, 14.40/2.41 (![X2 : a, X4 : a, X6 : a]: 14.40/2.41 (~ ('#sk1' @ X2 @ X4) | ~ ('#sk1' @ X4 @ X6) | ('#sk1' @ X2 @ X6))), 14.40/2.41 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl32])). 14.40/2.41 thf(zip_derived_cl401, plain, 14.40/2.41 (![X0 : a]: 14.40/2.41 ( ('#form12') 14.40/2.41 | ~ ('#form20') 14.40/2.41 | ('#sk1' @ '#sk15' @ X0) 14.40/2.41 | ~ ('#sk1' @ '#sk17' @ X0))), 14.40/2.41 inference('sup-', [status(thm)], [zip_derived_cl98, zip_derived_cl40])). 14.40/2.41 thf(zip_derived_cl1369, plain, 14.40/2.41 ((~ ('#form20') 14.40/2.41 | ('#form12') 14.40/2.41 | ('#sk1' @ '#sk15' @ '#sk15') 14.40/2.41 | ~ ('#form20') 14.40/2.41 | ('#form12'))), 14.40/2.41 inference('sup-', [status(thm)], [zip_derived_cl402, zip_derived_cl401])). 14.40/2.41 thf(zip_derived_cl1371, plain, 14.40/2.41 (( ('#sk1' @ '#sk15' @ '#sk15') | ('#form12') | ~ ('#form20'))), 14.40/2.41 inference('simplify', [status(thm)], [zip_derived_cl1369])). 14.40/2.41 thf(zip_derived_cl100, plain, 14.40/2.41 ((~ ('#form20') 14.40/2.41 | (((!!) @ (^[Y0 : a]: 14.40/2.41 (((!!) @ (^[Y1 : a]: 14.40/2.41 ((('#sk2' @ Y0 @ Y1) => ('#sk4' @ Y0 @ 14.40/2.41 ('#_fresh_sk5' @ Y0) @ 14.40/2.41 ('#_fresh_sk6' @ Y1)))))))))))), 14.40/2.41 define([status(thm)])). 14.40/2.41 thf(zip_derived_cl101, plain, 14.40/2.41 (![X2 : a]: 14.40/2.41 ( (((!!) @ (^[Y0 : a]: 14.40/2.41 ((('#sk2' @ X2 @ Y0) => ('#sk4' @ X2 @ 14.40/2.41 ('#_fresh_sk5' @ X2) @ ('#_fresh_sk6' @ Y0))))))) 14.40/2.41 | ~ ('#form20'))), 14.40/2.41 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl100])). 14.40/2.41 thf(zip_derived_cl108, plain, 14.40/2.41 (![X2 : a, X4 : a]: 14.40/2.41 ( ((('#sk2' @ X2 @ X4) => ('#sk4' @ X2 @ ('#_fresh_sk5' @ X2) @ 14.40/2.41 ('#_fresh_sk6' @ X4)))) 14.40/2.41 | ~ ('#form20'))), 14.40/2.41 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl101])). 14.40/2.41 thf(zip_derived_cl113, plain, 14.40/2.41 (![X2 : a, X4 : a]: 14.40/2.41 (~ ('#sk2' @ X2 @ X4) 14.40/2.41 | ('#sk4' @ X2 @ ('#_fresh_sk5' @ X2) @ ('#_fresh_sk6' @ X4)) 14.40/2.41 | ~ ('#form20'))), 14.40/2.41 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl108])). 14.40/2.41 thf(zip_derived_cl47, plain, 14.40/2.41 (![X2 : a, X4 : b, X5 : b]: 14.40/2.41 ((('#sk3' @ X2 @ X4 @ X5) = ('#sk4' @ X2 @ X4 @ X5)) 14.40/2.41 | ~ ('#sk1' @ X2 @ X2))), 14.40/2.41 inference('arg_cong_simpl', [status(thm)], [zip_derived_cl46])). 14.40/2.41 thf(zip_derived_cl91, plain, 14.40/2.41 ((~ ('#sk3' @ '#sk15' @ ('#_fresh_sk5' @ '#sk15') @ 14.40/2.41 ('#_fresh_sk6' @ '#sk17')) 14.40/2.41 | ('#form12') 14.40/2.41 | ~ (((!!) @ (^[Y0 : a]: 14.40/2.41 (((!!) @ (^[Y1 : a]: 14.40/2.41 ((('#sk2' @ Y0 @ Y1) => ('#sk4' @ Y0 @ 14.40/2.41 ('#_fresh_sk5' @ Y0) @ 14.40/2.41 ('#_fresh_sk6' @ Y1)))))))))))), 14.40/2.41 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl82])). 14.40/2.41 thf(zip_derived_cl96, plain, 14.40/2.41 (( ('#form20') 14.40/2.41 | ~ (((!!) @ (^[Y0 : a]: 14.40/2.41 (((!!) @ (^[Y1 : a]: 14.40/2.41 ((('#sk2' @ Y0 @ Y1) => ('#sk4' @ Y0 @ 14.40/2.41 ('#_fresh_sk5' @ Y0) @ 14.40/2.41 ('#_fresh_sk6' @ Y1)))))))))))), 14.40/2.41 define([status(thm)])). 14.40/2.41 thf(zip_derived_cl99, plain, 14.40/2.41 ((~ ('#form20') 14.40/2.41 | ('#form12') 14.40/2.41 | ~ ('#sk3' @ '#sk15' @ ('#_fresh_sk5' @ '#sk15') @ 14.40/2.41 ('#_fresh_sk6' @ '#sk17')))), 14.40/2.41 inference('renaming', [status(thm)], [zip_derived_cl91, zip_derived_cl96])). 14.40/2.41 thf(zip_derived_cl251, plain, 14.40/2.41 ((~ ('#sk4' @ '#sk15' @ ('#_fresh_sk5' @ '#sk15') @ 14.40/2.41 ('#_fresh_sk6' @ '#sk17')) 14.40/2.41 | ~ ('#sk1' @ '#sk15' @ '#sk15') 14.40/2.41 | ('#form12') 14.40/2.41 | ~ ('#form20'))), 14.40/2.41 inference('sup-', [status(thm)], [zip_derived_cl47, zip_derived_cl99])). 14.40/2.41 thf(zip_derived_cl852, plain, 14.40/2.41 ((~ ('#form20') 14.40/2.41 | ~ ('#sk2' @ '#sk15' @ '#sk17') 14.40/2.41 | ~ ('#form20') 14.40/2.41 | ('#form12') 14.40/2.41 | ~ ('#sk1' @ '#sk15' @ '#sk15'))), 14.40/2.41 inference('sup-', [status(thm)], [zip_derived_cl113, zip_derived_cl251])). 14.40/2.41 thf(zip_derived_cl858, plain, 14.40/2.41 ((~ ('#sk1' @ '#sk15' @ '#sk15') 14.40/2.41 | ('#form12') 14.40/2.41 | ~ ('#sk2' @ '#sk15' @ '#sk17') 14.40/2.41 | ~ ('#form20'))), 14.40/2.41 inference('simplify', [status(thm)], [zip_derived_cl852])). 14.40/2.41 thf(zip_derived_cl98, plain, 14.40/2.41 ((~ ('#form20') | ('#form12') | ('#sk1' @ '#sk15' @ '#sk17'))), 14.40/2.41 inference('renaming', [status(thm)], [zip_derived_cl90, zip_derived_cl96])). 14.40/2.41 thf(zip_derived_cl15, plain, 14.40/2.41 (![X2 : a, X3 : a]: (('#sk1' @ X2 @ X3) = ('#sk2' @ X2 @ X3))), 14.40/2.41 inference('arg_cong_simpl', [status(thm)], [zip_derived_cl14])). 14.40/2.41 thf(zip_derived_cl115, plain, 14.40/2.41 (![X2 : a, X3 : a]: (~ ('#sk1' @ X2 @ X3) | ('#sk2' @ X2 @ X3))), 14.40/2.41 inference('eq_elim', [status(thm)], [zip_derived_cl15])). 14.40/2.41 thf(zip_derived_cl403, plain, 14.40/2.41 (( ('#form12') | ~ ('#form20') | ('#sk2' @ '#sk15' @ '#sk17'))), 14.40/2.41 inference('sup-', [status(thm)], [zip_derived_cl98, zip_derived_cl115])). 14.40/2.41 thf(zip_derived_cl866, plain, 14.40/2.41 ((~ ('#form20') | ('#form12') | ~ ('#sk1' @ '#sk15' @ '#sk15'))), 14.40/2.41 inference('clc', [status(thm)], [zip_derived_cl858, zip_derived_cl403])). 14.40/2.41 thf(zip_derived_cl1381, plain, ((~ ('#form20') | ('#form12'))), 14.40/2.41 inference('clc', [status(thm)], [zip_derived_cl1371, zip_derived_cl866])). 14.40/2.41 thf(zip_derived_cl4257, plain, ( ('#form12')), 14.40/2.41 inference('clc', [status(thm)], [zip_derived_cl4256, zip_derived_cl1381])). 14.40/2.41 thf(zip_derived_cl4258, plain, (~ ('#form9')), 14.40/2.41 inference('demod', [status(thm)], 14.40/2.41 [zip_derived_cl2946, zip_derived_cl4257])). 14.40/2.41 thf(zip_derived_cl4260, plain, 14.40/2.41 (~ ('#sk3' @ '#sk18' @ ('#sk10' @ '#sk18') @ ('#sk13' @ '#sk19'))), 14.40/2.41 inference('demod', [status(thm)], [zip_derived_cl106, zip_derived_cl4258])). 14.40/2.41 thf(zip_derived_cl105, plain, 14.40/2.41 (( ('#sk1' @ '#sk18' @ '#sk19') | ('#form9'))), 14.40/2.41 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl95])). 14.40/2.41 thf(zip_derived_cl105, plain, 14.40/2.41 (( ('#sk1' @ '#sk18' @ '#sk19') | ('#form9'))), 14.40/2.41 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl95])). 14.40/2.41 thf(zip_derived_cl24, plain, 14.40/2.41 (![X2 : a, X4 : a]: (~ ('#sk1' @ X2 @ X4) | ('#sk1' @ X4 @ X2))), 14.40/2.41 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl19])). 14.40/2.41 thf(zip_derived_cl136, plain, 14.40/2.41 (( ('#form9') | ('#sk1' @ '#sk19' @ '#sk18'))), 14.40/2.41 inference('sup-', [status(thm)], [zip_derived_cl105, zip_derived_cl24])). 14.40/2.41 thf(zip_derived_cl40, plain, 14.40/2.41 (![X2 : a, X4 : a, X6 : a]: 14.40/2.41 (~ ('#sk1' @ X2 @ X4) | ~ ('#sk1' @ X4 @ X6) | ('#sk1' @ X2 @ X6))), 14.40/2.41 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl32])). 14.40/2.41 thf(zip_derived_cl160, plain, 14.40/2.41 (![X0 : a]: 14.40/2.41 ( ('#form9') | ('#sk1' @ '#sk19' @ X0) | ~ ('#sk1' @ '#sk18' @ X0))), 14.40/2.41 inference('sup-', [status(thm)], [zip_derived_cl136, zip_derived_cl40])). 14.40/2.41 thf(zip_derived_cl682, plain, 14.40/2.41 (( ('#form9') | ('#sk1' @ '#sk19' @ '#sk19') | ('#form9'))), 14.40/2.41 inference('sup-', [status(thm)], [zip_derived_cl105, zip_derived_cl160])). 14.40/2.41 thf(zip_derived_cl686, plain, 14.40/2.41 (( ('#sk1' @ '#sk19' @ '#sk19') | ('#form9'))), 14.40/2.41 inference('simplify', [status(thm)], [zip_derived_cl682])). 14.40/2.41 thf(zip_derived_cl79, plain, 14.40/2.41 (( (((((!!) @ (^[Y0 : a]: 14.40/2.41 (((!!) @ (^[Y1 : a]: 14.40/2.41 ((('#sk1' @ Y0 @ Y1) => ('#sk3' @ Y0 @ 14.40/2.41 ('#sk10' @ Y0) @ ('#sk11' @ Y1)))))))))) & 14.40/2.41 (((!!) @ (^[Y0 : a]: 14.40/2.41 (((!!) @ (^[Y1 : a]: 14.40/2.41 ((('#sk1' @ Y0 @ Y1) => ('#sk3' @ Y0 @ 14.40/2.41 ('#sk11' @ Y0) @ ('#sk13' @ Y1)))))))))))) 14.40/2.41 | ('#form9'))), 14.40/2.41 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl72])). 14.40/2.41 thf(zip_derived_cl86, plain, 14.40/2.41 (( (((!!) @ (^[Y0 : a]: 14.40/2.41 (((!!) @ (^[Y1 : a]: 14.40/2.41 ((('#sk1' @ Y0 @ Y1) => ('#sk3' @ Y0 @ 14.40/2.41 ('#sk11' @ Y0) @ ('#sk13' @ Y1)))))))))) 14.40/2.41 | ('#form9'))), 14.40/2.41 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl79])). 14.40/2.41 thf(zip_derived_cl94, plain, 14.40/2.41 (![X2 : a]: 14.40/2.41 ( (((!!) @ (^[Y0 : a]: 14.40/2.41 ((('#sk1' @ X2 @ Y0) => ('#sk3' @ X2 @ ('#sk11' @ X2) @ 14.40/2.41 ('#sk13' @ Y0))))))) 14.40/2.41 | ('#form9'))), 14.40/2.41 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl86])). 14.40/2.41 thf(zip_derived_cl104, plain, 14.40/2.41 (![X2 : a, X4 : a]: 14.40/2.41 ( ((('#sk1' @ X2 @ X4) => ('#sk3' @ X2 @ ('#sk11' @ X2) @ 14.40/2.41 ('#sk13' @ X4)))) 14.40/2.41 | ('#form9'))), 14.40/2.41 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl94])). 14.40/2.41 thf(zip_derived_cl110, plain, 14.40/2.41 (![X2 : a, X4 : a]: 14.40/2.41 (~ ('#sk1' @ X2 @ X4) 14.40/2.41 | ('#sk3' @ X2 @ ('#sk11' @ X2) @ ('#sk13' @ X4)) 14.40/2.41 | ('#form9'))), 14.40/2.41 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl104])). 14.40/2.41 thf(zip_derived_cl688, plain, 14.40/2.41 (( ('#form9') 14.40/2.41 | ('#form9') 14.40/2.41 | ('#sk3' @ '#sk19' @ ('#sk11' @ '#sk19') @ ('#sk13' @ '#sk19')))), 14.40/2.41 inference('sup-', [status(thm)], [zip_derived_cl686, zip_derived_cl110])). 14.40/2.41 thf(zip_derived_cl703, plain, 14.40/2.41 (( ('#sk3' @ '#sk19' @ ('#sk11' @ '#sk19') @ ('#sk13' @ '#sk19')) 14.40/2.41 | ('#form9'))), 14.40/2.41 inference('simplify', [status(thm)], [zip_derived_cl688])). 14.40/2.41 thf(zip_derived_cl136, plain, 14.40/2.41 (( ('#form9') | ('#sk1' @ '#sk19' @ '#sk18'))), 14.40/2.41 inference('sup-', [status(thm)], [zip_derived_cl105, zip_derived_cl24])). 14.40/2.41 thf(zip_derived_cl43, plain, 14.40/2.41 (![X2 : a, X4 : a, X6 : b, X7 : b]: 14.40/2.41 ((('#sk3' @ X2 @ X6 @ X7) = ('#sk3' @ X4 @ X6 @ X7)) 14.40/2.41 | ~ ('#sk1' @ X2 @ X4))), 14.40/2.41 inference('arg_cong_simpl', [status(thm)], [zip_derived_cl42])). 14.40/2.41 thf(zip_derived_cl212, plain, 14.40/2.41 (![X0 : b, X1 : b]: 14.40/2.41 ( ('#form9') 14.40/2.41 | (('#sk3' @ '#sk19' @ X1 @ X0) = ('#sk3' @ '#sk18' @ X1 @ X0)))), 14.40/2.41 inference('sup-', [status(thm)], [zip_derived_cl136, zip_derived_cl43])). 14.40/2.41 thf(zip_derived_cl1143, plain, 14.40/2.41 (( ('#sk3' @ '#sk18' @ ('#sk11' @ '#sk19') @ ('#sk13' @ '#sk19')) 14.40/2.41 | ('#form9') 14.40/2.41 | ('#form9'))), 14.40/2.41 inference('sup+', [status(thm)], [zip_derived_cl703, zip_derived_cl212])). 14.40/2.41 thf(zip_derived_cl1155, plain, 14.40/2.41 (( ('#form9') 14.40/2.41 | ('#sk3' @ '#sk18' @ ('#sk11' @ '#sk19') @ ('#sk13' @ '#sk19')))), 14.40/2.41 inference('simplify', [status(thm)], [zip_derived_cl1143])). 14.40/2.41 thf(zip_derived_cl4258, plain, (~ ('#form9')), 14.40/2.41 inference('demod', [status(thm)], 14.40/2.41 [zip_derived_cl2946, zip_derived_cl4257])). 14.40/2.41 thf(zip_derived_cl4295, plain, 14.40/2.41 ( ('#sk3' @ '#sk18' @ ('#sk11' @ '#sk19') @ ('#sk13' @ '#sk19'))), 14.40/2.41 inference('demod', [status(thm)], 14.40/2.41 [zip_derived_cl1155, zip_derived_cl4258])). 14.40/2.41 thf(zip_derived_cl105, plain, 14.40/2.41 (( ('#sk1' @ '#sk18' @ '#sk19') | ('#form9'))), 14.40/2.41 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl95])). 14.40/2.41 thf(zip_derived_cl85, plain, 14.40/2.41 (( (((!!) @ (^[Y0 : a]: 14.40/2.41 (((!!) @ (^[Y1 : a]: 14.40/2.41 ((('#sk1' @ Y0 @ Y1) => ('#sk3' @ Y0 @ 14.40/2.41 ('#sk10' @ Y0) @ ('#sk11' @ Y1)))))))))) 14.40/2.41 | ('#form9'))), 14.40/2.41 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl79])). 14.40/2.41 thf(zip_derived_cl93, plain, 14.40/2.41 (![X2 : a]: 14.40/2.41 ( (((!!) @ (^[Y0 : a]: 14.40/2.41 ((('#sk1' @ X2 @ Y0) => ('#sk3' @ X2 @ ('#sk10' @ X2) @ 14.40/2.41 ('#sk11' @ Y0))))))) 14.40/2.41 | ('#form9'))), 14.40/2.41 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl85])). 14.40/2.41 thf(zip_derived_cl103, plain, 14.40/2.41 (![X2 : a, X4 : a]: 14.40/2.41 ( ((('#sk1' @ X2 @ X4) => ('#sk3' @ X2 @ ('#sk10' @ X2) @ 14.40/2.41 ('#sk11' @ X4)))) 14.40/2.41 | ('#form9'))), 14.40/2.41 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl93])). 14.40/2.41 thf(zip_derived_cl109, plain, 14.40/2.41 (![X2 : a, X4 : a]: 14.40/2.41 (~ ('#sk1' @ X2 @ X4) 14.40/2.41 | ('#sk3' @ X2 @ ('#sk10' @ X2) @ ('#sk11' @ X4)) 14.40/2.41 | ('#form9'))), 14.40/2.41 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl103])). 14.40/2.41 thf(zip_derived_cl513, plain, 14.40/2.41 (( ('#form9') 14.40/2.41 | ('#form9') 14.40/2.41 | ('#sk3' @ '#sk18' @ ('#sk10' @ '#sk18') @ ('#sk11' @ '#sk19')))), 14.40/2.41 inference('sup-', [status(thm)], [zip_derived_cl105, zip_derived_cl109])). 14.40/2.41 thf(zip_derived_cl533, plain, 14.40/2.41 (( ('#sk3' @ '#sk18' @ ('#sk10' @ '#sk18') @ ('#sk11' @ '#sk19')) 14.40/2.41 | ('#form9'))), 14.40/2.41 inference('simplify', [status(thm)], [zip_derived_cl513])). 14.40/2.41 thf(zip_derived_cl47, plain, 14.40/2.41 (![X2 : a, X4 : b, X5 : b]: 14.40/2.41 ((('#sk3' @ X2 @ X4 @ X5) = ('#sk4' @ X2 @ X4 @ X5)) 14.40/2.41 | ~ ('#sk1' @ X2 @ X2))), 14.40/2.41 inference('arg_cong_simpl', [status(thm)], [zip_derived_cl46])). 14.40/2.41 thf(zip_derived_cl547, plain, 14.40/2.41 (( ('#sk4' @ '#sk18' @ ('#sk10' @ '#sk18') @ ('#sk11' @ '#sk19')) 14.40/2.41 | ('#form9') 14.40/2.41 | ~ ('#sk1' @ '#sk18' @ '#sk18'))), 14.40/2.41 inference('sup+', [status(thm)], [zip_derived_cl533, zip_derived_cl47])). 14.40/2.41 thf(zip_derived_cl136, plain, 14.40/2.41 (( ('#form9') | ('#sk1' @ '#sk19' @ '#sk18'))), 14.40/2.41 inference('sup-', [status(thm)], [zip_derived_cl105, zip_derived_cl24])). 14.40/2.41 thf(zip_derived_cl105, plain, 14.40/2.41 (( ('#sk1' @ '#sk18' @ '#sk19') | ('#form9'))), 14.40/2.41 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl95])). 14.40/2.41 thf(zip_derived_cl40, plain, 14.40/2.41 (![X2 : a, X4 : a, X6 : a]: 14.40/2.41 (~ ('#sk1' @ X2 @ X4) | ~ ('#sk1' @ X4 @ X6) | ('#sk1' @ X2 @ X6))), 14.40/2.41 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl32])). 14.40/2.41 thf(zip_derived_cl161, plain, 14.40/2.41 (![X0 : a]: 14.40/2.41 ( ('#form9') | ('#sk1' @ '#sk18' @ X0) | ~ ('#sk1' @ '#sk19' @ X0))), 14.40/2.41 inference('sup-', [status(thm)], [zip_derived_cl105, zip_derived_cl40])). 14.40/2.41 thf(zip_derived_cl723, plain, 14.40/2.41 (( ('#form9') | ('#sk1' @ '#sk18' @ '#sk18') | ('#form9'))), 14.40/2.41 inference('sup-', [status(thm)], [zip_derived_cl136, zip_derived_cl161])). 14.40/2.41 thf(zip_derived_cl729, plain, 14.40/2.41 (( ('#sk1' @ '#sk18' @ '#sk18') | ('#form9'))), 14.40/2.41 inference('simplify', [status(thm)], [zip_derived_cl723])). 14.40/2.41 thf(zip_derived_cl1659, plain, 14.40/2.41 (( ('#form9') 14.40/2.41 | ('#sk4' @ '#sk18' @ ('#sk10' @ '#sk18') @ ('#sk11' @ '#sk19')))), 14.40/2.41 inference('clc', [status(thm)], [zip_derived_cl547, zip_derived_cl729])). 14.40/2.41 thf(zip_derived_cl4258, plain, (~ ('#form9')), 14.40/2.41 inference('demod', [status(thm)], 14.40/2.41 [zip_derived_cl2946, zip_derived_cl4257])). 14.40/2.41 thf(zip_derived_cl4299, plain, 14.40/2.41 ( ('#sk4' @ '#sk18' @ ('#sk10' @ '#sk18') @ ('#sk11' @ '#sk19'))), 14.40/2.41 inference('demod', [status(thm)], 14.40/2.41 [zip_derived_cl1659, zip_derived_cl4258])). 14.40/2.41 thf(zip_derived_cl47, plain, 14.40/2.41 (![X2 : a, X4 : b, X5 : b]: 14.40/2.41 ((('#sk3' @ X2 @ X4 @ X5) = ('#sk4' @ X2 @ X4 @ X5)) 14.40/2.41 | ~ ('#sk1' @ X2 @ X2))), 14.40/2.41 inference('arg_cong_simpl', [status(thm)], [zip_derived_cl46])). 14.40/2.41 thf(zip_derived_cl33, plain, 14.40/2.41 (![X2 : a, X4 : a]: 14.40/2.41 ( (((!!) @ (^[Y0 : b]: 14.40/2.41 (((!!) @ (^[Y1 : b]: 14.40/2.41 (((!!) @ (^[Y2 : b]: 14.40/2.41 ((((('#sk3' @ X2 @ Y0 @ Y1) & 14.40/2.41 ('#sk3' @ X2 @ Y1 @ Y2))) => 14.40/2.41 ('#sk3' @ X2 @ Y0 @ Y2)))))))))))) 14.40/2.41 | ~ ('#sk1' @ X2 @ X4))), 14.40/2.41 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl26])). 14.40/2.41 thf(zip_derived_cl41, plain, 14.40/2.41 (![X2 : a, X4 : a, X6 : b]: 14.40/2.41 ( (((!!) @ (^[Y0 : b]: 14.40/2.41 (((!!) @ (^[Y1 : b]: 14.40/2.41 ((((('#sk3' @ X2 @ X6 @ Y0) & ('#sk3' @ 14.40/2.41 X2 @ Y0 @ Y1))) => 14.40/2.41 ('#sk3' @ X2 @ X6 @ Y1))))))))) 14.40/2.41 | ~ ('#sk1' @ X2 @ X4))), 14.40/2.41 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl33])). 14.40/2.41 thf(zip_derived_cl51, plain, 14.40/2.41 (![X2 : a, X4 : a, X6 : b, X8 : b]: 14.40/2.41 ( (((!!) @ (^[Y0 : b]: 14.40/2.41 ((((('#sk3' @ X2 @ X6 @ X8) & ('#sk3' @ X2 @ X8 @ Y0))) => 14.40/2.41 ('#sk3' @ X2 @ X6 @ Y0)))))) 14.40/2.41 | ~ ('#sk1' @ X2 @ X4))), 14.40/2.41 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl41])). 14.40/2.41 thf(zip_derived_cl59, plain, 14.40/2.41 (![X2 : a, X4 : a, X6 : b, X8 : b, X10 : b]: 14.40/2.41 ( ((((('#sk3' @ X2 @ X6 @ X8) & ('#sk3' @ X2 @ X8 @ X10))) => 14.40/2.41 ('#sk3' @ X2 @ X6 @ X10))) 14.40/2.41 | ~ ('#sk1' @ X2 @ X4))), 14.40/2.41 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl51])). 14.40/2.41 thf(zip_derived_cl69, plain, 14.40/2.41 (![X2 : a, X4 : a, X6 : b, X8 : b, X10 : b]: 14.40/2.41 (~ ((('#sk3' @ X2 @ X6 @ X8) & ('#sk3' @ X2 @ X8 @ X10))) 14.40/2.41 | ('#sk3' @ X2 @ X6 @ X10) 14.40/2.41 | ~ ('#sk1' @ X2 @ X4))), 14.40/2.41 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl59])). 14.40/2.41 thf(zip_derived_cl76, plain, 14.40/2.41 (![X2 : a, X4 : a, X6 : b, X8 : b, X10 : b]: 14.40/2.41 (~ ('#sk3' @ X2 @ X6 @ X8) 14.40/2.41 | ~ ('#sk3' @ X2 @ X8 @ X10) 14.40/2.41 | ~ ('#sk1' @ X2 @ X4) 14.40/2.41 | ('#sk3' @ X2 @ X6 @ X10))), 14.40/2.41 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl69])). 14.40/2.41 thf(zip_derived_cl306, plain, 14.40/2.41 (![X0 : b, X1 : b, X2 : a, X3 : b, X4 : a]: 14.40/2.41 (~ ('#sk4' @ X2 @ X1 @ X0) 14.40/2.41 | ~ ('#sk1' @ X2 @ X2) 14.40/2.41 | ('#sk3' @ X2 @ X1 @ X3) 14.40/2.41 | ~ ('#sk1' @ X2 @ X4) 14.40/2.41 | ~ ('#sk3' @ X2 @ X0 @ X3))), 14.40/2.41 inference('sup-', [status(thm)], [zip_derived_cl47, zip_derived_cl76])). 14.40/2.41 thf(zip_derived_cl1740, plain, 14.40/2.41 (![X0 : b, X1 : b, X2 : a, X3 : b]: 14.40/2.41 (~ ('#sk4' @ X2 @ X1 @ X0) 14.40/2.41 | ~ ('#sk1' @ X2 @ X2) 14.40/2.41 | ('#sk3' @ X2 @ X1 @ X3) 14.40/2.41 | ~ ('#sk3' @ X2 @ X0 @ X3))), 14.40/2.41 inference('condensation', [status(thm)], [zip_derived_cl306])). 14.40/2.41 thf(zip_derived_cl5569, plain, 14.40/2.41 (![X0 : b]: 14.40/2.41 (~ ('#sk3' @ '#sk18' @ ('#sk11' @ '#sk19') @ X0) 14.40/2.41 | ('#sk3' @ '#sk18' @ ('#sk10' @ '#sk18') @ X0) 14.40/2.41 | ~ ('#sk1' @ '#sk18' @ '#sk18'))), 14.40/2.41 inference('sup-', [status(thm)], [zip_derived_cl4299, zip_derived_cl1740])). 14.40/2.41 thf(zip_derived_cl729, plain, 14.40/2.41 (( ('#sk1' @ '#sk18' @ '#sk18') | ('#form9'))), 14.40/2.41 inference('simplify', [status(thm)], [zip_derived_cl723])). 14.40/2.41 thf(zip_derived_cl4258, plain, (~ ('#form9')), 14.40/2.41 inference('demod', [status(thm)], 14.40/2.41 [zip_derived_cl2946, zip_derived_cl4257])). 14.40/2.41 thf(zip_derived_cl4289, plain, ( ('#sk1' @ '#sk18' @ '#sk18')), 14.40/2.41 inference('demod', [status(thm)], [zip_derived_cl729, zip_derived_cl4258])). 14.40/2.41 thf(zip_derived_cl5592, plain, 14.40/2.41 (![X0 : b]: 14.40/2.41 (~ ('#sk3' @ '#sk18' @ ('#sk11' @ '#sk19') @ X0) 14.40/2.41 | ('#sk3' @ '#sk18' @ ('#sk10' @ '#sk18') @ X0))), 14.40/2.41 inference('demod', [status(thm)], 14.40/2.41 [zip_derived_cl5569, zip_derived_cl4289])). 14.40/2.41 thf(zip_derived_cl10152, plain, 14.40/2.41 ( ('#sk3' @ '#sk18' @ ('#sk10' @ '#sk18') @ ('#sk13' @ '#sk19'))), 14.40/2.41 inference('sup-', [status(thm)], [zip_derived_cl4295, zip_derived_cl5592])). 14.40/2.41 thf(zip_derived_cl10170, plain, ($false), 14.40/2.41 inference('demod', [status(thm)], 14.40/2.41 [zip_derived_cl4260, zip_derived_cl10152])). 14.40/2.41 14.40/2.41 % SZS output end Refutation 14.40/2.41 14.40/2.41 14.40/2.41 % Terminating... 15.09/2.56 % Runner terminated. 15.09/2.57 % Zipperpin 1.5 exiting 15.09/2.58 EOF