0.00/0.03 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.00/0.05 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.y6EXxnnhp9 true 0.12/0.37 % Computer : n022.cluster.edu 0.12/0.37 % Model : x86_64 x86_64 0.12/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.12/0.37 % Memory : 8046.5625MB 0.12/0.37 % OS : Linux 6.8.0-71-generic 0.12/0.37 % CPULimit : 1440 0.12/0.37 % WCLimit : 180 0.12/0.37 % DateTime : Mon Jul 27 09:30:28 UTC 2026 0.12/0.37 % CPUTime : 0.12/0.37 % Running portfolio for 1440 s 0.12/0.37 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p 0.12/0.38 % Number of cores: 8 0.12/0.38 % Python version: Python 3.12.3 0.12/0.38 % Running in HO mode 0.45/0.66 % Total configuration time : 828 0.45/0.66 % Estimated wc time : 1656 0.45/0.66 % Estimated cpu time (8 cpus) : 207.0 0.48/0.79 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s 0.48/0.79 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s 0.48/0.79 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s 0.48/0.79 % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s 0.48/0.79 % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s 0.48/0.79 % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s 0.49/0.84 % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s 0.49/0.84 % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s 10.04/2.04 % Solved by lams/20_acsne_simpl.sh. 10.04/2.04 % done 989 iterations in 1.088s 10.04/2.04 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p' 10.04/2.04 % SZS output start Refutation 10.04/2.04 thf(a_type, type, a: $tType). 10.04/2.04 thf(b_type, type, b: $tType). 10.04/2.04 thf('#sk14_type', type, '#sk14': a). 10.04/2.04 thf('#sk15_type', type, '#sk15': a). 10.04/2.04 thf('#sk18_type', type, '#sk18': a). 10.04/2.04 thf('#sk8_type', type, '#sk8': a > b). 10.04/2.04 thf('#sk21_type', type, '#sk21': a). 10.04/2.04 thf('#sk1_type', type, '#sk1': a > a > $o). 10.04/2.04 thf('#sk7_type', type, '#sk7': a > b). 10.04/2.04 thf('#sk16_type', type, '#sk16': a). 10.04/2.04 thf('#sk6_type', type, '#sk6': a > b). 10.04/2.04 thf('#sk17_type', type, '#sk17': a). 10.04/2.04 thf('#sk11_type', type, '#sk11': a > b). 10.04/2.04 thf('#sk20_type', type, '#sk20': a). 10.04/2.04 thf('#sk13_type', type, '#sk13': a). 10.04/2.04 thf('#sk10_type', type, '#sk10': a > b). 10.04/2.04 thf('#_fresh_sk5_type', type, '#_fresh_sk5': a > b). 10.04/2.04 thf('#form9_type', type, '#form9': $o). 10.04/2.04 thf('#sk3_type', type, '#sk3': a > b > b > $o). 10.04/2.04 thf('#form19_type', type, '#form19': $o). 10.04/2.04 thf('#_fresh_sk4_type', type, '#_fresh_sk4': a > b). 10.04/2.04 thf('#form12_type', type, '#form12': $o). 10.04/2.04 thf('#sk2_type', type, '#sk2': a > a > $o). 10.04/2.04 thf(cTHM516_pme, conjecture, 10.04/2.04 (![Xp:( a > a > $o ),Xq:( a > a > $o ),Xr:( a > b > b > $o )]: 10.04/2.04 ( ( ( ![Xx:a,Xy:a,Xz:a]: 10.04/2.04 ( ( ( Xp @ Xx @ Xy ) & ( Xp @ Xy @ Xz ) ) => ( Xp @ Xx @ Xz ) ) ) & 10.04/2.04 ( ( Xp ) = ( Xq ) ) & 10.04/2.04 ( ![Xx:a,Xy:a]: ( ( Xp @ Xx @ Xy ) => ( Xp @ Xy @ Xx ) ) ) ) => 10.04/2.04 ( ( ![Xx:a,Xy:a]: 10.04/2.04 ( ( Xp @ Xx @ Xy ) => 10.04/2.04 ( ( ![Xx0:b,Xy0:b,Xz:b]: 10.04/2.04 ( ( ( Xr @ Xx @ Xy0 @ Xz ) & ( Xr @ Xx @ Xx0 @ Xy0 ) ) => 10.04/2.04 ( Xr @ Xx @ Xx0 @ Xz ) ) ) & 10.04/2.04 ( ( Xr @ Xx ) = ( Xr @ Xy ) ) & 10.04/2.04 ( ![Xx0:b,Xy0:b]: 10.04/2.04 ( ( Xr @ Xx @ Xx0 @ Xy0 ) => ( Xr @ Xx @ Xy0 @ Xx0 ) ) ) ) ) ) => 10.04/2.04 ( ( ( ^[Xf:( a > b ),Xg:( a > b )]: 10.04/2.04 ( ![Xx:a,Xy:a]: 10.04/2.04 ( ( Xp @ Xx @ Xy ) => ( Xr @ Xx @ ( Xf @ Xx ) @ ( Xg @ Xy ) ) ) ) ) = 10.04/2.04 ( ^[Xf:( a > b ),Xg:( a > b )]: 10.04/2.04 ( ![Xx:a,Xy:a]: 10.04/2.04 ( ( Xq @ Xx @ Xy ) => ( Xr @ Xx @ ( Xf @ Xx ) @ ( Xg @ Xy ) ) ) ) ) ) & 10.04/2.04 ( ![Xx:( a > b ),Xy:( a > b ),Xz:( a > b )]: 10.04/2.04 ( ( ( ![Xx0:a,Xy0:a]: 10.04/2.04 ( ( Xp @ Xx0 @ Xy0 ) => 10.04/2.04 ( Xr @ Xx0 @ ( Xy @ Xx0 ) @ ( Xz @ Xy0 ) ) ) ) & 10.04/2.04 ( ![Xx0:a,Xy0:a]: 10.04/2.04 ( ( Xp @ Xx0 @ Xy0 ) => 10.04/2.04 ( Xr @ Xx0 @ ( Xx @ Xx0 ) @ ( Xy @ Xy0 ) ) ) ) ) => 10.04/2.04 ( ![Xx0:a,Xy0:a]: 10.04/2.04 ( ( Xp @ Xx0 @ Xy0 ) => 10.04/2.04 ( Xr @ Xx0 @ ( Xx @ Xx0 ) @ ( Xz @ Xy0 ) ) ) ) ) ) & 10.04/2.04 ( ![Xx:( a > b ),Xy:( a > b )]: 10.04/2.04 ( ( ![Xx0:a,Xy0:a]: 10.04/2.04 ( ( Xp @ Xx0 @ Xy0 ) => 10.04/2.04 ( Xr @ Xx0 @ ( Xx @ Xx0 ) @ ( Xy @ Xy0 ) ) ) ) => 10.04/2.04 ( ![Xx0:a,Xy0:a]: 10.04/2.04 ( ( Xp @ Xx0 @ Xy0 ) => 10.04/2.04 ( Xr @ Xx0 @ ( Xy @ Xx0 ) @ ( Xx @ Xy0 ) ) ) ) ) ) ) ) ))). 10.04/2.04 thf(zf_stmt_0, negated_conjecture, 10.04/2.04 (~( ![Xp:( a > a > $o ),Xq:( a > a > $o ),Xr:( a > b > b > $o )]: 10.04/2.04 ( ( ( ![Xx:a,Xy:a,Xz:a]: 10.04/2.04 ( ( ( Xp @ Xx @ Xy ) & ( Xp @ Xy @ Xz ) ) => ( Xp @ Xx @ Xz ) ) ) & 10.04/2.04 ( ( Xp ) = ( Xq ) ) & 10.04/2.04 ( ![Xx:a,Xy:a]: ( ( Xp @ Xx @ Xy ) => ( Xp @ Xy @ Xx ) ) ) ) => 10.04/2.04 ( ( ![Xx:a,Xy:a]: 10.04/2.04 ( ( Xp @ Xx @ Xy ) => 10.04/2.04 ( ( ![Xx0:b,Xy0:b,Xz:b]: 10.04/2.04 ( ( ( Xr @ Xx @ Xy0 @ Xz ) & ( Xr @ Xx @ Xx0 @ Xy0 ) ) => 10.04/2.04 ( Xr @ Xx @ Xx0 @ Xz ) ) ) & 10.04/2.04 ( ( Xr @ Xx ) = ( Xr @ Xy ) ) & 10.04/2.04 ( ![Xx0:b,Xy0:b]: 10.04/2.04 ( ( Xr @ Xx @ Xx0 @ Xy0 ) => ( Xr @ Xx @ Xy0 @ Xx0 ) ) ) ) ) ) => 10.04/2.04 ( ( ( ^[Xf:( a > b ),Xg:( a > b )]: 10.04/2.04 ( ![Xx:a,Xy:a]: 10.04/2.04 ( ( Xp @ Xx @ Xy ) => 10.04/2.04 ( Xr @ Xx @ ( Xf @ Xx ) @ ( Xg @ Xy ) ) ) ) ) = 10.04/2.04 ( ^[Xf:( a > b ),Xg:( a > b )]: 10.04/2.04 ( ![Xx:a,Xy:a]: 10.04/2.04 ( ( Xq @ Xx @ Xy ) => 10.04/2.04 ( Xr @ Xx @ ( Xf @ Xx ) @ ( Xg @ Xy ) ) ) ) ) ) & 10.04/2.04 ( ![Xx:( a > b ),Xy:( a > b ),Xz:( a > b )]: 10.04/2.04 ( ( ( ![Xx0:a,Xy0:a]: 10.04/2.04 ( ( Xp @ Xx0 @ Xy0 ) => 10.04/2.04 ( Xr @ Xx0 @ ( Xy @ Xx0 ) @ ( Xz @ Xy0 ) ) ) ) & 10.04/2.04 ( ![Xx0:a,Xy0:a]: 10.04/2.04 ( ( Xp @ Xx0 @ Xy0 ) => 10.04/2.04 ( Xr @ Xx0 @ ( Xx @ Xx0 ) @ ( Xy @ Xy0 ) ) ) ) ) => 10.04/2.04 ( ![Xx0:a,Xy0:a]: 10.04/2.04 ( ( Xp @ Xx0 @ Xy0 ) => 10.04/2.04 ( Xr @ Xx0 @ ( Xx @ Xx0 ) @ ( Xz @ Xy0 ) ) ) ) ) ) & 10.04/2.04 ( ![Xx:( a > b ),Xy:( a > b )]: 10.04/2.04 ( ( ![Xx0:a,Xy0:a]: 10.04/2.04 ( ( Xp @ Xx0 @ Xy0 ) => 10.04/2.04 ( Xr @ Xx0 @ ( Xx @ Xx0 ) @ ( Xy @ Xy0 ) ) ) ) => 10.04/2.04 ( ![Xx0:a,Xy0:a]: 10.04/2.04 ( ( Xp @ Xx0 @ Xy0 ) => 10.04/2.04 ( Xr @ Xx0 @ ( Xy @ Xx0 ) @ ( Xx @ Xy0 ) ) ) ) ) ) ) ) ) )), 10.04/2.04 inference('cnf.neg', [status(esa)], [cTHM516_pme])). 10.04/2.04 thf(zip_derived_cl0, plain, 10.04/2.04 (~ (((!!) @ (^[Y0 : a > a > $o]: 10.04/2.04 (((!!) @ (^[Y1 : a > a > $o]: 10.04/2.04 (((!!) @ (^[Y2 : a > b > b > $o]: 10.04/2.04 (((((((!!) @ (^[Y3 : a]: 10.04/2.04 (((!!) @ ( 10.04/2.04 ^[Y4 : a]: 10.04/2.04 (((!!) @ ( 10.04/2.04 ^[Y5 : a]: 10.04/2.04 (( 10.04/2.04 (( 10.04/2.04 (Y0 @ 10.04/2.04 Y3 @ 10.04/2.04 Y4) & 10.04/2.04 (Y0 @ 10.04/2.04 Y4 @ Y5))) => 10.04/2.04 (Y0 @ 10.04/2.04 Y3 @ Y5)))))))))))) & 10.04/2.04 (((Y0) = (Y1))) & 10.04/2.04 (((!!) @ (^[Y3 : a]: 10.04/2.04 (((!!) @ ( 10.04/2.04 ^[Y4 : a]: 10.04/2.04 (((Y0 @ Y3 @ 10.04/2.04 Y4) => 10.04/2.04 (Y0 @ Y4 @ 10.04/2.04 Y3))))))))))) => 10.04/2.04 (((((!!) @ (^[Y3 : a]: 10.04/2.04 (((!!) @ ( 10.04/2.04 ^[Y4 : a]: 10.04/2.04 (((Y0 @ Y3 @ 10.04/2.04 Y4) => 10.04/2.04 (((( 10.04/2.04 (!!) @ ( 10.04/2.04 ^[Y5 : b]: 10.04/2.04 (( 10.04/2.04 (!!) @ ( 10.04/2.04 ^[Y6 : b]: 10.04/2.04 (( 10.04/2.04 (!!) @ ( 10.04/2.04 ^[Y7 : b]: 10.04/2.04 (( 10.04/2.04 (( 10.04/2.04 (Y2 @ 10.04/2.04 Y3 @ 10.04/2.04 Y6 @ 10.04/2.04 Y7) & 10.04/2.04 (Y2 @ 10.04/2.04 Y3 @ 10.04/2.04 Y5 @ Y6))) => 10.04/2.04 (Y2 @ 10.04/2.04 Y3 @ 10.04/2.04 Y5 @ Y7)))))))))))) & 10.04/2.04 (( 10.04/2.04 (Y2 @ 10.04/2.04 Y3) = 10.04/2.04 (Y2 @ Y4))) & 10.04/2.04 (( 10.04/2.04 (!!) @ ( 10.04/2.04 ^[Y5 : b]: 10.04/2.04 (( 10.04/2.04 (!!) @ ( 10.04/2.04 ^[Y6 : b]: 10.04/2.04 (( 10.04/2.04 (Y2 @ 10.04/2.04 Y3 @ 10.04/2.04 Y5 @ 10.04/2.04 Y6) => 10.04/2.04 (Y2 @ 10.04/2.04 Y3 @ 10.04/2.04 Y6 @ Y5))))))))))))))))))) => 10.04/2.04 ((((((^[Y3 : a > b,Y4 : a > b]: 10.04/2.04 (((!!) @ (^[Y5 : a]: 10.04/2.04 (( 10.04/2.04 (!!) @ ( 10.04/2.04 ^[Y6 : a]: 10.04/2.04 (( 10.04/2.04 (Y0 @ 10.04/2.04 Y5 @ 10.04/2.04 Y6) => 10.04/2.04 (Y2 @ 10.04/2.04 Y5 @ 10.04/2.04 ( 10.04/2.04 Y3 @ Y5) @ 10.04/2.04 ( 10.04/2.04 Y4 @ Y6)))))))))))) = 10.04/2.04 ((^[Y3 : a > b,Y4 : a > b]: 10.04/2.04 (((!!) @ (^[Y5 : a]: 10.04/2.04 (( 10.04/2.04 (!!) @ ( 10.04/2.04 ^[Y6 : a]: 10.04/2.04 (( 10.04/2.04 (Y1 @ 10.04/2.04 Y5 @ 10.04/2.04 Y6) => 10.04/2.04 (Y2 @ 10.04/2.04 Y5 @ 10.04/2.04 ( 10.04/2.04 Y3 @ Y5) @ 10.04/2.04 ( 10.04/2.04 Y4 @ Y6)))))))))))))) & 10.04/2.04 (((!!) @ (^[Y3 : a > b]: 10.04/2.04 (((!!) @ ( 10.04/2.04 ^[Y4 : a > b]: 10.04/2.04 (((!!) @ ( 10.04/2.04 ^[Y5 : a > b]: 10.04/2.04 (( 10.04/2.04 (( 10.04/2.04 (( 10.04/2.04 (!!) @ ( 10.04/2.04 ^[Y6 : a]: 10.04/2.04 (( 10.04/2.04 (!!) @ ( 10.04/2.04 ^[Y7 : a]: 10.04/2.04 (( 10.04/2.04 (Y0 @ 10.04/2.04 Y6 @ 10.04/2.04 Y7) => 10.04/2.04 (Y2 @ 10.04/2.04 Y6 @ 10.04/2.04 ( 10.04/2.04 Y4 @ Y6) @ 10.04/2.04 ( 10.04/2.04 Y5 @ Y7)))))))))) & 10.04/2.04 (( 10.04/2.04 (!!) @ ( 10.04/2.04 ^[Y6 : a]: 10.04/2.04 (( 10.04/2.04 (!!) @ ( 10.04/2.04 ^[Y7 : a]: 10.04/2.04 (( 10.04/2.04 (Y0 @ 10.04/2.04 Y6 @ 10.04/2.04 Y7) => 10.04/2.04 (Y2 @ 10.04/2.04 Y6 @ 10.04/2.04 ( 10.04/2.04 Y3 @ Y6) @ 10.04/2.04 ( 10.04/2.04 Y4 @ Y7)))))))))))) => 10.04/2.04 (( 10.04/2.04 (!!) @ ( 10.04/2.04 ^[Y6 : a]: 10.04/2.04 (( 10.04/2.04 (!!) @ ( 10.04/2.04 ^[Y7 : a]: 10.04/2.04 (( 10.04/2.04 (Y0 @ 10.04/2.04 Y6 @ 10.04/2.04 Y7) => 10.04/2.04 (Y2 @ 10.04/2.04 Y6 @ 10.04/2.04 ( 10.04/2.04 Y3 @ Y6) @ 10.04/2.04 ( 10.04/2.04 Y5 @ Y7))))))))))))))))))))) & 10.04/2.04 (((!!) @ (^[Y3 : a > b]: 10.04/2.04 (((!!) @ ( 10.04/2.04 ^[Y4 : a > b]: 10.04/2.04 (((( 10.04/2.04 (!!) @ ( 10.04/2.04 ^[Y5 : a]: 10.04/2.04 (( 10.04/2.04 (!!) @ ( 10.04/2.04 ^[Y6 : a]: 10.04/2.04 (( 10.04/2.04 (Y0 @ 10.04/2.04 Y5 @ 10.04/2.04 Y6) => 10.04/2.04 (Y2 @ 10.04/2.04 Y5 @ 10.04/2.04 ( 10.04/2.04 Y3 @ Y5) @ 10.04/2.04 ( 10.04/2.04 Y4 @ Y6)))))))))) => 10.04/2.04 (( 10.04/2.04 (!!) @ ( 10.04/2.04 ^[Y5 : a]: 10.04/2.04 (( 10.04/2.04 (!!) @ ( 10.04/2.04 ^[Y6 : a]: 10.04/2.04 (( 10.04/2.04 (Y0 @ 10.04/2.04 Y5 @ 10.04/2.04 Y6) => 10.04/2.04 (Y2 @ 10.04/2.04 Y5 @ 10.04/2.04 ( 10.04/2.04 Y4 @ Y5) @ 10.04/2.04 ( 10.04/2.04 Y3 @ Y6)))))))))))))))))))))))))))))))))), 10.04/2.04 inference('cnf', [status(esa)], [zf_stmt_0])). 10.04/2.04 thf(zip_derived_cl1, plain, 10.04/2.04 (~ (((!!) @ (^[Y0 : a > a > $o]: 10.04/2.04 (((!!) @ (^[Y1 : a > b > b > $o]: 10.04/2.04 (((((((!!) @ (^[Y2 : a]: 10.04/2.04 (((!!) @ (^[Y3 : a]: 10.04/2.04 (((!!) @ ( 10.04/2.04 ^[Y4 : a]: 10.04/2.04 ((((('#sk1' @ 10.04/2.04 Y2 @ Y3) & 10.04/2.04 ('#sk1' @ 10.04/2.04 Y3 @ Y4))) => 10.04/2.04 ('#sk1' @ 10.04/2.04 Y2 @ Y4)))))))))))) & 10.04/2.04 ((('#sk1') = (Y0))) & 10.04/2.04 (((!!) @ (^[Y2 : a]: 10.04/2.04 (((!!) @ (^[Y3 : a]: 10.04/2.04 ((('#sk1' @ Y2 @ 10.04/2.04 Y3) => 10.04/2.04 ('#sk1' @ Y3 @ 10.04/2.04 Y2))))))))))) => 10.04/2.04 (((((!!) @ (^[Y2 : a]: 10.04/2.04 (((!!) @ (^[Y3 : a]: 10.04/2.04 ((('#sk1' @ Y2 @ 10.04/2.04 Y3) => 10.04/2.04 (((((!!) @ ( 10.04/2.04 ^[Y4 : b]: 10.04/2.04 (( 10.04/2.04 (!!) @ ( 10.04/2.04 ^[Y5 : b]: 10.04/2.04 (( 10.04/2.04 (!!) @ ( 10.04/2.04 ^[Y6 : b]: 10.04/2.04 (( 10.04/2.04 (( 10.04/2.04 (Y1 @ 10.04/2.04 Y2 @ 10.04/2.04 Y5 @ 10.04/2.04 Y6) & 10.04/2.04 (Y1 @ 10.04/2.04 Y2 @ 10.04/2.04 Y4 @ Y5))) => 10.04/2.04 (Y1 @ 10.04/2.04 Y2 @ 10.04/2.04 Y4 @ Y6)))))))))))) & 10.04/2.04 (((Y1 @ Y2) = 10.04/2.04 (Y1 @ Y3))) & 10.04/2.04 (((!!) @ ( 10.04/2.04 ^[Y4 : b]: 10.04/2.04 (( 10.04/2.04 (!!) @ ( 10.04/2.04 ^[Y5 : b]: 10.04/2.04 (( 10.04/2.04 (Y1 @ 10.04/2.04 Y2 @ 10.04/2.04 Y4 @ 10.04/2.04 Y5) => 10.04/2.04 (Y1 @ 10.04/2.04 Y2 @ 10.04/2.04 Y5 @ Y4))))))))))))))))))) => 10.04/2.04 ((((((^[Y2 : a > b,Y3 : a > b]: 10.04/2.04 (((!!) @ (^[Y4 : a]: 10.04/2.04 (((!!) @ (^[Y5 : a]: 10.04/2.04 (( 10.04/2.04 ('#sk1' @ 10.04/2.04 Y4 @ 10.04/2.04 Y5) => 10.04/2.04 (Y1 @ 10.04/2.04 Y4 @ 10.04/2.04 ( 10.04/2.04 Y2 @ Y4) @ 10.04/2.04 ( 10.04/2.04 Y3 @ Y5)))))))))))) = 10.04/2.04 ((^[Y2 : a > b,Y3 : a > b]: 10.04/2.04 (((!!) @ (^[Y4 : a]: 10.04/2.04 (((!!) @ (^[Y5 : a]: 10.04/2.04 (( 10.04/2.04 (Y0 @ 10.04/2.04 Y4 @ 10.04/2.04 Y5) => 10.04/2.04 (Y1 @ 10.04/2.04 Y4 @ 10.04/2.04 ( 10.04/2.04 Y2 @ Y4) @ 10.04/2.04 ( 10.04/2.04 Y3 @ Y5)))))))))))))) & 10.04/2.04 (((!!) @ (^[Y2 : a > b]: 10.04/2.04 (((!!) @ (^[Y3 : a > b]: 10.04/2.04 (((!!) @ ( 10.04/2.04 ^[Y4 : a > b]: 10.04/2.04 (((( 10.04/2.04 (( 10.04/2.04 (!!) @ ( 10.04/2.04 ^[Y5 : a]: 10.04/2.04 (( 10.04/2.04 (!!) @ ( 10.04/2.04 ^[Y6 : a]: 10.04/2.04 (( 10.04/2.04 ('#sk1' @ 10.04/2.04 Y5 @ 10.04/2.04 Y6) => 10.04/2.04 (Y1 @ 10.04/2.04 Y5 @ 10.04/2.04 ( 10.04/2.04 Y3 @ Y5) @ 10.04/2.04 ( 10.04/2.04 Y4 @ Y6)))))))))) & 10.04/2.04 (( 10.04/2.04 (!!) @ ( 10.04/2.04 ^[Y5 : a]: 10.04/2.04 (( 10.04/2.04 (!!) @ ( 10.04/2.04 ^[Y6 : a]: 10.04/2.04 (( 10.04/2.04 ('#sk1' @ 10.04/2.04 Y5 @ 10.04/2.04 Y6) => 10.04/2.04 (Y1 @ 10.04/2.04 Y5 @ 10.04/2.04 ( 10.04/2.04 Y2 @ Y5) @ 10.04/2.04 ( 10.04/2.04 Y3 @ Y6)))))))))))) => 10.04/2.04 (( 10.04/2.04 (!!) @ ( 10.04/2.04 ^[Y5 : a]: 10.04/2.04 (( 10.04/2.04 (!!) @ ( 10.04/2.04 ^[Y6 : a]: 10.04/2.04 (( 10.04/2.04 ('#sk1' @ 10.04/2.04 Y5 @ 10.04/2.04 Y6) => 10.04/2.04 (Y1 @ 10.04/2.04 Y5 @ 10.04/2.04 ( 10.04/2.04 Y2 @ Y5) @ 10.04/2.04 ( 10.04/2.04 Y4 @ Y6))))))))))))))))))))) & 10.04/2.04 (((!!) @ (^[Y2 : a > b]: 10.04/2.04 (((!!) @ (^[Y3 : a > b]: 10.04/2.04 (((((!!) @ ( 10.04/2.04 ^[Y4 : a]: 10.04/2.04 (( 10.04/2.04 (!!) @ ( 10.04/2.04 ^[Y5 : a]: 10.04/2.04 (( 10.04/2.04 ('#sk1' @ 10.04/2.04 Y4 @ 10.04/2.04 Y5) => 10.04/2.04 (Y1 @ 10.04/2.04 Y4 @ 10.04/2.04 ( 10.04/2.04 Y2 @ Y4) @ 10.04/2.04 ( 10.04/2.04 Y3 @ Y5)))))))))) => 10.04/2.04 (((!!) @ ( 10.04/2.04 ^[Y4 : a]: 10.04/2.04 (( 10.04/2.04 (!!) @ ( 10.04/2.04 ^[Y5 : a]: 10.04/2.04 (( 10.04/2.04 ('#sk1' @ 10.04/2.04 Y4 @ 10.04/2.04 Y5) => 10.04/2.04 (Y1 @ 10.04/2.04 Y4 @ 10.04/2.04 ( 10.04/2.04 Y3 @ Y4) @ 10.04/2.04 ( 10.04/2.04 Y2 @ Y5))))))))))))))))))))))))))))))), 10.04/2.04 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl0])). 10.04/2.04 thf(zip_derived_cl2, plain, 10.04/2.04 (~ (((!!) @ (^[Y0 : a > b > b > $o]: 10.04/2.04 (((((((!!) @ (^[Y1 : a]: 10.04/2.04 (((!!) @ (^[Y2 : a]: 10.04/2.04 (((!!) @ (^[Y3 : a]: 10.04/2.04 ((((('#sk1' @ 10.04/2.04 Y1 @ Y2) & 10.04/2.04 ('#sk1' @ 10.04/2.04 Y2 @ Y3))) => 10.04/2.04 ('#sk1' @ Y1 @ 10.04/2.04 Y3)))))))))))) & 10.04/2.04 ((('#sk1') = ('#sk2'))) & 10.04/2.04 (((!!) @ (^[Y1 : a]: 10.04/2.04 (((!!) @ (^[Y2 : a]: 10.04/2.04 ((('#sk1' @ Y1 @ Y2) => 10.04/2.04 ('#sk1' @ Y2 @ Y1))))))))))) => 10.04/2.04 (((((!!) @ (^[Y1 : a]: 10.04/2.04 (((!!) @ (^[Y2 : a]: 10.04/2.04 ((('#sk1' @ Y1 @ Y2) => 10.04/2.04 (((((!!) @ (^[Y3 : b]: 10.04/2.04 (((!!) @ ( 10.04/2.04 ^[Y4 : b]: 10.04/2.04 (( 10.04/2.04 (!!) @ ( 10.04/2.04 ^[Y5 : b]: 10.04/2.04 (( 10.04/2.04 (( 10.04/2.04 (Y0 @ 10.04/2.04 Y1 @ 10.04/2.04 Y4 @ 10.04/2.04 Y5) & 10.04/2.04 (Y0 @ 10.04/2.04 Y1 @ 10.04/2.04 Y3 @ Y4))) => 10.04/2.04 (Y0 @ 10.04/2.04 Y1 @ 10.04/2.04 Y3 @ Y5)))))))))))) & 10.04/2.04 (((Y0 @ Y1) = (Y0 @ Y2))) & 10.04/2.04 (((!!) @ (^[Y3 : b]: 10.04/2.04 (((!!) @ ( 10.04/2.04 ^[Y4 : b]: 10.04/2.04 (( 10.04/2.04 (Y0 @ 10.04/2.04 Y1 @ 10.04/2.04 Y3 @ 10.04/2.04 Y4) => 10.04/2.04 (Y0 @ 10.04/2.04 Y1 @ 10.04/2.04 Y4 @ Y3))))))))))))))))))) => 10.04/2.04 ((((((^[Y1 : a > b,Y2 : a > b]: 10.04/2.04 (((!!) @ (^[Y3 : a]: 10.04/2.04 (((!!) @ (^[Y4 : a]: 10.04/2.04 ((('#sk1' @ Y3 @ 10.04/2.04 Y4) => (Y0 @ Y3 @ 10.04/2.04 (Y1 @ Y3) @ 10.04/2.04 (Y2 @ Y4)))))))))))) = 10.04/2.04 ((^[Y1 : a > b,Y2 : a > b]: 10.04/2.04 (((!!) @ (^[Y3 : a]: 10.04/2.04 (((!!) @ (^[Y4 : a]: 10.04/2.04 ((('#sk2' @ Y3 @ 10.04/2.04 Y4) => (Y0 @ Y3 @ 10.04/2.04 (Y1 @ Y3) @ 10.04/2.04 (Y2 @ Y4)))))))))))))) & 10.04/2.04 (((!!) @ (^[Y1 : a > b]: 10.04/2.04 (((!!) @ (^[Y2 : a > b]: 10.04/2.04 (((!!) @ (^[Y3 : a > b]: 10.04/2.04 (((((((!!) @ ( 10.04/2.04 ^[Y4 : a]: 10.04/2.04 (( 10.04/2.04 (!!) @ ( 10.04/2.04 ^[Y5 : a]: 10.04/2.04 (( 10.04/2.04 ('#sk1' @ 10.04/2.04 Y4 @ 10.04/2.04 Y5) => 10.04/2.04 (Y0 @ 10.04/2.04 Y4 @ 10.04/2.04 ( 10.04/2.04 Y2 @ Y4) @ 10.04/2.04 ( 10.04/2.04 Y3 @ Y5)))))))))) & 10.04/2.04 (((!!) @ ( 10.04/2.04 ^[Y4 : a]: 10.04/2.04 (( 10.04/2.04 (!!) @ ( 10.04/2.04 ^[Y5 : a]: 10.04/2.04 (( 10.04/2.04 ('#sk1' @ 10.04/2.04 Y4 @ 10.04/2.04 Y5) => 10.04/2.04 (Y0 @ 10.04/2.04 Y4 @ 10.04/2.04 ( 10.04/2.04 Y1 @ Y4) @ 10.04/2.04 ( 10.04/2.04 Y2 @ Y5)))))))))))) => 10.04/2.04 (((!!) @ ( 10.04/2.04 ^[Y4 : a]: 10.04/2.04 (( 10.04/2.04 (!!) @ ( 10.04/2.04 ^[Y5 : a]: 10.04/2.04 (( 10.04/2.04 ('#sk1' @ 10.04/2.04 Y4 @ 10.04/2.04 Y5) => 10.04/2.04 (Y0 @ 10.04/2.04 Y4 @ 10.04/2.04 ( 10.04/2.04 Y1 @ Y4) @ 10.04/2.04 ( 10.04/2.04 Y3 @ Y5))))))))))))))))))))) & 10.04/2.04 (((!!) @ (^[Y1 : a > b]: 10.04/2.04 (((!!) @ (^[Y2 : a > b]: 10.04/2.04 (((((!!) @ (^[Y3 : a]: 10.04/2.04 (((!!) @ ( 10.04/2.04 ^[Y4 : a]: 10.04/2.04 (( 10.04/2.04 ('#sk1' @ 10.04/2.04 Y3 @ 10.04/2.04 Y4) => 10.04/2.04 (Y0 @ 10.04/2.04 Y3 @ 10.04/2.04 ( 10.04/2.04 Y1 @ Y3) @ 10.04/2.04 ( 10.04/2.04 Y2 @ Y4)))))))))) => 10.04/2.04 (((!!) @ (^[Y3 : a]: 10.04/2.04 (((!!) @ ( 10.04/2.04 ^[Y4 : a]: 10.04/2.04 (( 10.04/2.04 ('#sk1' @ 10.04/2.04 Y3 @ 10.04/2.04 Y4) => 10.04/2.04 (Y0 @ 10.04/2.04 Y3 @ 10.04/2.04 ( 10.04/2.04 Y2 @ Y3) @ 10.04/2.04 ( 10.04/2.04 Y1 @ Y4)))))))))))))))))))))))))))), 10.04/2.04 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl1])). 10.04/2.04 thf(zip_derived_cl3, plain, 10.04/2.04 (~ (((((((!!) @ (^[Y0 : a]: 10.04/2.04 (((!!) @ (^[Y1 : a]: 10.04/2.04 (((!!) @ (^[Y2 : a]: 10.04/2.04 ((((('#sk1' @ Y0 @ Y1) & 10.04/2.04 ('#sk1' @ Y1 @ Y2))) => 10.04/2.04 ('#sk1' @ Y0 @ Y2)))))))))))) & 10.04/2.04 ((('#sk1') = ('#sk2'))) & 10.04/2.04 (((!!) @ (^[Y0 : a]: 10.04/2.04 (((!!) @ (^[Y1 : a]: 10.04/2.04 ((('#sk1' @ Y0 @ Y1) => ('#sk1' @ Y1 @ Y0))))))))))) => 10.04/2.04 (((((!!) @ (^[Y0 : a]: 10.04/2.04 (((!!) @ (^[Y1 : a]: 10.04/2.04 ((('#sk1' @ Y0 @ Y1) => 10.04/2.04 (((((!!) @ (^[Y2 : b]: 10.04/2.04 (((!!) @ (^[Y3 : b]: 10.04/2.04 (((!!) @ ( 10.04/2.04 ^[Y4 : b]: 10.04/2.04 (( 10.04/2.04 (( 10.04/2.04 ('#sk3' @ 10.04/2.04 Y0 @ 10.04/2.04 Y3 @ 10.04/2.04 Y4) & 10.04/2.04 ('#sk3' @ 10.04/2.04 Y0 @ 10.04/2.04 Y2 @ Y3))) => 10.04/2.04 ('#sk3' @ 10.04/2.04 Y0 @ 10.04/2.04 Y2 @ Y4)))))))))))) & 10.04/2.04 ((('#sk3' @ Y0) = ('#sk3' @ Y1))) & 10.04/2.04 (((!!) @ (^[Y2 : b]: 10.04/2.04 (((!!) @ (^[Y3 : b]: 10.04/2.04 ((('#sk3' @ 10.04/2.04 Y0 @ Y2 @ 10.04/2.04 Y3) => 10.04/2.04 ('#sk3' @ 10.04/2.04 Y0 @ Y3 @ 10.04/2.04 Y2))))))))))))))))))) => 10.04/2.04 ((((((^[Y0 : a > b,Y1 : a > b]: 10.04/2.04 (((!!) @ (^[Y2 : a]: 10.04/2.04 (((!!) @ (^[Y3 : a]: 10.04/2.04 ((('#sk1' @ Y2 @ Y3) => ('#sk3' @ 10.04/2.04 Y2 @ (Y0 @ Y2) @ (Y1 @ Y3)))))))))))) = 10.04/2.04 ((^[Y0 : a > b,Y1 : a > b]: 10.04/2.04 (((!!) @ (^[Y2 : a]: 10.04/2.04 (((!!) @ (^[Y3 : a]: 10.04/2.04 ((('#sk2' @ Y2 @ Y3) => ('#sk3' @ 10.04/2.04 Y2 @ (Y0 @ Y2) @ (Y1 @ Y3)))))))))))))) & 10.04/2.04 (((!!) @ (^[Y0 : a > b]: 10.04/2.04 (((!!) @ (^[Y1 : a > b]: 10.04/2.04 (((!!) @ (^[Y2 : a > b]: 10.04/2.04 (((((((!!) @ (^[Y3 : a]: 10.04/2.04 (((!!) @ ( 10.04/2.04 ^[Y4 : a]: 10.04/2.04 (( 10.04/2.04 ('#sk1' @ 10.04/2.04 Y3 @ 10.04/2.04 Y4) => 10.04/2.04 ('#sk3' @ 10.04/2.04 Y3 @ 10.04/2.04 ( 10.04/2.04 Y1 @ Y3) @ 10.04/2.04 ( 10.04/2.04 Y2 @ Y4)))))))))) & 10.04/2.04 (((!!) @ (^[Y3 : a]: 10.04/2.04 (((!!) @ ( 10.04/2.04 ^[Y4 : a]: 10.04/2.04 (( 10.04/2.04 ('#sk1' @ 10.04/2.04 Y3 @ 10.04/2.04 Y4) => 10.04/2.04 ('#sk3' @ 10.04/2.04 Y3 @ 10.04/2.04 ( 10.04/2.04 Y0 @ Y3) @ 10.04/2.04 ( 10.04/2.04 Y1 @ Y4)))))))))))) => 10.04/2.04 (((!!) @ (^[Y3 : a]: 10.04/2.04 (((!!) @ ( 10.04/2.04 ^[Y4 : a]: 10.04/2.04 (( 10.04/2.04 ('#sk1' @ 10.04/2.04 Y3 @ 10.04/2.04 Y4) => 10.04/2.04 ('#sk3' @ 10.04/2.04 Y3 @ 10.04/2.04 ( 10.04/2.04 Y0 @ Y3) @ 10.04/2.04 ( 10.04/2.04 Y2 @ Y4))))))))))))))))))))) & 10.04/2.04 (((!!) @ (^[Y0 : a > b]: 10.04/2.04 (((!!) @ (^[Y1 : a > b]: 10.04/2.04 (((((!!) @ (^[Y2 : a]: 10.04/2.04 (((!!) @ (^[Y3 : a]: 10.04/2.04 ((('#sk1' @ 10.04/2.04 Y2 @ Y3) => 10.04/2.04 ('#sk3' @ 10.04/2.04 Y2 @ 10.04/2.04 (Y0 @ Y2) @ 10.04/2.04 (Y1 @ Y3)))))))))) => 10.04/2.04 (((!!) @ (^[Y2 : a]: 10.04/2.04 (((!!) @ (^[Y3 : a]: 10.04/2.04 ((('#sk1' @ 10.04/2.04 Y2 @ Y3) => 10.04/2.04 ('#sk3' @ 10.04/2.04 Y2 @ 10.04/2.04 (Y1 @ Y2) @ 10.04/2.04 (Y0 @ Y3))))))))))))))))))))))))), 10.04/2.04 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl2])). 10.04/2.04 thf(zip_derived_cl5, plain, 10.04/2.04 (~ (((((!!) @ (^[Y0 : a]: 10.04/2.04 (((!!) @ (^[Y1 : a]: 10.04/2.04 ((('#sk1' @ Y0 @ Y1) => 10.04/2.04 (((((!!) @ (^[Y2 : b]: 10.04/2.04 (((!!) @ (^[Y3 : b]: 10.04/2.04 (((!!) @ ( 10.04/2.04 ^[Y4 : b]: 10.04/2.04 (((( 10.04/2.04 ('#sk3' @ 10.04/2.04 Y0 @ Y3 @ 10.04/2.04 Y4) & 10.04/2.04 ('#sk3' @ 10.04/2.04 Y0 @ Y2 @ 10.04/2.04 Y3))) => 10.04/2.04 ('#sk3' @ 10.04/2.04 Y0 @ Y2 @ 10.04/2.04 Y4)))))))))))) & 10.04/2.04 ((('#sk3' @ Y0) = ('#sk3' @ Y1))) & 10.04/2.04 (((!!) @ (^[Y2 : b]: 10.04/2.04 (((!!) @ (^[Y3 : b]: 10.04/2.04 ((('#sk3' @ 10.04/2.04 Y0 @ Y2 @ 10.04/2.04 Y3) => 10.04/2.04 ('#sk3' @ 10.04/2.04 Y0 @ Y3 @ Y2))))))))))))))))))) => 10.04/2.04 ((((((^[Y0 : a > b,Y1 : a > b]: 10.04/2.04 (((!!) @ (^[Y2 : a]: 10.04/2.04 (((!!) @ (^[Y3 : a]: 10.04/2.04 ((('#sk1' @ Y2 @ Y3) => ('#sk3' @ 10.04/2.04 Y2 @ (Y0 @ Y2) @ (Y1 @ Y3)))))))))))) = 10.04/2.04 ((^[Y0 : a > b,Y1 : a > b]: 10.04/2.04 (((!!) @ (^[Y2 : a]: 10.04/2.04 (((!!) @ (^[Y3 : a]: 10.04/2.04 ((('#sk2' @ Y2 @ Y3) => ('#sk3' @ 10.04/2.04 Y2 @ (Y0 @ Y2) @ (Y1 @ Y3)))))))))))))) & 10.04/2.04 (((!!) @ (^[Y0 : a > b]: 10.04/2.04 (((!!) @ (^[Y1 : a > b]: 10.04/2.04 (((!!) @ (^[Y2 : a > b]: 10.04/2.04 (((((((!!) @ (^[Y3 : a]: 10.04/2.04 (((!!) @ ( 10.04/2.04 ^[Y4 : a]: 10.04/2.04 (( 10.04/2.04 ('#sk1' @ 10.04/2.04 Y3 @ 10.04/2.04 Y4) => 10.04/2.04 ('#sk3' @ 10.04/2.04 Y3 @ 10.04/2.04 ( 10.04/2.04 Y1 @ Y3) @ 10.04/2.04 ( 10.04/2.04 Y2 @ Y4)))))))))) & 10.04/2.04 (((!!) @ (^[Y3 : a]: 10.04/2.04 (((!!) @ ( 10.04/2.04 ^[Y4 : a]: 10.04/2.04 (( 10.04/2.04 ('#sk1' @ 10.04/2.04 Y3 @ 10.04/2.04 Y4) => 10.04/2.04 ('#sk3' @ 10.04/2.04 Y3 @ 10.04/2.04 ( 10.04/2.04 Y0 @ Y3) @ 10.04/2.04 ( 10.04/2.04 Y1 @ Y4)))))))))))) => 10.04/2.04 (((!!) @ (^[Y3 : a]: 10.04/2.04 (((!!) @ ( 10.04/2.04 ^[Y4 : a]: 10.04/2.04 ((('#sk1' @ 10.04/2.04 Y3 @ 10.04/2.04 Y4) => 10.04/2.04 ('#sk3' @ 10.04/2.04 Y3 @ 10.04/2.04 (Y0 @ Y3) @ 10.04/2.04 (Y2 @ Y4))))))))))))))))))))) & 10.04/2.04 (((!!) @ (^[Y0 : a > b]: 10.04/2.04 (((!!) @ (^[Y1 : a > b]: 10.04/2.04 (((((!!) @ (^[Y2 : a]: 10.04/2.04 (((!!) @ (^[Y3 : a]: 10.04/2.04 ((('#sk1' @ 10.04/2.04 Y2 @ Y3) => 10.04/2.04 ('#sk3' @ 10.04/2.04 Y2 @ 10.04/2.04 (Y0 @ Y2) @ 10.04/2.04 (Y1 @ Y3)))))))))) => 10.04/2.04 (((!!) @ (^[Y2 : a]: 10.04/2.04 (((!!) @ (^[Y3 : a]: 10.04/2.04 ((('#sk1' @ 10.04/2.04 Y2 @ Y3) => 10.04/2.04 ('#sk3' @ 10.04/2.04 Y2 @ 10.04/2.04 (Y1 @ Y2) @ 10.04/2.04 (Y0 @ Y3))))))))))))))))))))))), 10.04/2.04 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl3])). 10.04/2.04 thf(zip_derived_cl10, plain, 10.04/2.04 (~ ((((((^[Y0 : a > b,Y1 : a > b]: 10.04/2.04 (((!!) @ (^[Y2 : a]: 10.04/2.04 (((!!) @ (^[Y3 : a]: 10.04/2.04 ((('#sk1' @ Y2 @ Y3) => ('#sk3' @ 10.04/2.04 Y2 @ (Y0 @ Y2) @ (Y1 @ Y3)))))))))))) = 10.04/2.04 ((^[Y0 : a > b,Y1 : a > b]: 10.04/2.04 (((!!) @ (^[Y2 : a]: 10.04/2.04 (((!!) @ (^[Y3 : a]: 10.04/2.04 ((('#sk2' @ Y2 @ Y3) => ('#sk3' @ 10.04/2.04 Y2 @ (Y0 @ Y2) @ (Y1 @ Y3)))))))))))))) & 10.04/2.04 (((!!) @ (^[Y0 : a > b]: 10.04/2.04 (((!!) @ (^[Y1 : a > b]: 10.04/2.04 (((!!) @ (^[Y2 : a > b]: 10.04/2.04 (((((((!!) @ (^[Y3 : a]: 10.04/2.04 (((!!) @ ( 10.04/2.04 ^[Y4 : a]: 10.04/2.04 ((('#sk1' @ 10.04/2.04 Y3 @ 10.04/2.05 Y4) => 10.04/2.05 ('#sk3' @ 10.04/2.05 Y3 @ 10.04/2.05 (Y1 @ Y3) @ 10.04/2.05 (Y2 @ Y4)))))))))) & 10.04/2.05 (((!!) @ (^[Y3 : a]: 10.04/2.05 (((!!) @ ( 10.04/2.05 ^[Y4 : a]: 10.04/2.05 ((('#sk1' @ 10.04/2.05 Y3 @ 10.04/2.05 Y4) => 10.04/2.05 ('#sk3' @ 10.04/2.05 Y3 @ 10.04/2.05 (Y0 @ Y3) @ 10.04/2.05 (Y1 @ Y4)))))))))))) => 10.04/2.05 (((!!) @ (^[Y3 : a]: 10.04/2.05 (((!!) @ ( 10.04/2.05 ^[Y4 : a]: 10.04/2.05 ((('#sk1' @ 10.04/2.05 Y3 @ Y4) => 10.04/2.05 ('#sk3' @ 10.04/2.05 Y3 @ 10.04/2.05 (Y0 @ Y3) @ 10.04/2.05 (Y2 @ Y4))))))))))))))))))))) & 10.04/2.05 (((!!) @ (^[Y0 : a > b]: 10.04/2.05 (((!!) @ (^[Y1 : a > b]: 10.04/2.05 (((((!!) @ (^[Y2 : a]: 10.04/2.05 (((!!) @ (^[Y3 : a]: 10.04/2.05 ((('#sk1' @ Y2 @ 10.04/2.05 Y3) => 10.04/2.05 ('#sk3' @ Y2 @ 10.04/2.05 (Y0 @ Y2) @ 10.04/2.05 (Y1 @ Y3)))))))))) => 10.04/2.05 (((!!) @ (^[Y2 : a]: 10.04/2.05 (((!!) @ (^[Y3 : a]: 10.04/2.05 ((('#sk1' @ Y2 @ 10.04/2.05 Y3) => 10.04/2.05 ('#sk3' @ Y2 @ 10.04/2.05 (Y1 @ Y2) @ 10.04/2.05 (Y0 @ Y3))))))))))))))))))))), 10.04/2.05 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl5])). 10.04/2.05 thf(zip_derived_cl16, plain, 10.04/2.05 ((~ ((((^[Y0 : a > b,Y1 : a > b]: 10.04/2.05 (((!!) @ (^[Y2 : a]: 10.04/2.05 (((!!) @ (^[Y3 : a]: 10.04/2.05 ((('#sk1' @ Y2 @ Y3) => ('#sk3' @ Y2 @ 10.04/2.05 (Y0 @ Y2) @ (Y1 @ Y3)))))))))))) = 10.04/2.05 ((^[Y0 : a > b,Y1 : a > b]: 10.04/2.05 (((!!) @ (^[Y2 : a]: 10.04/2.05 (((!!) @ (^[Y3 : a]: 10.04/2.05 ((('#sk2' @ Y2 @ Y3) => ('#sk3' @ Y2 @ 10.04/2.05 (Y0 @ Y2) @ (Y1 @ Y3)))))))))))))) 10.04/2.05 | ~ (((!!) @ (^[Y0 : a > b]: 10.04/2.05 (((!!) @ (^[Y1 : a > b]: 10.04/2.05 (((!!) @ (^[Y2 : a > b]: 10.04/2.05 (((((((!!) @ (^[Y3 : a]: 10.04/2.05 (((!!) @ ( 10.04/2.05 ^[Y4 : a]: 10.04/2.05 ((('#sk1' @ 10.04/2.05 Y3 @ 10.04/2.05 Y4) => 10.04/2.05 ('#sk3' @ 10.04/2.05 Y3 @ 10.04/2.05 ( 10.04/2.05 Y1 @ Y3) @ 10.04/2.05 ( 10.04/2.05 Y2 @ Y4)))))))))) & 10.04/2.05 (((!!) @ (^[Y3 : a]: 10.04/2.05 (((!!) @ ( 10.04/2.05 ^[Y4 : a]: 10.04/2.05 ((('#sk1' @ 10.04/2.05 Y3 @ 10.04/2.05 Y4) => 10.04/2.05 ('#sk3' @ 10.04/2.05 Y3 @ 10.04/2.05 ( 10.04/2.05 Y0 @ Y3) @ 10.04/2.05 ( 10.04/2.05 Y1 @ Y4)))))))))))) => 10.04/2.05 (((!!) @ (^[Y3 : a]: 10.04/2.05 (((!!) @ ( 10.04/2.05 ^[Y4 : a]: 10.04/2.05 ((('#sk1' @ 10.04/2.05 Y3 @ Y4) => 10.04/2.05 ('#sk3' @ 10.04/2.05 Y3 @ 10.04/2.05 (Y0 @ Y3) @ 10.04/2.05 (Y2 @ Y4))))))))))))))))))))) 10.04/2.05 | ~ (((!!) @ (^[Y0 : a > b]: 10.04/2.05 (((!!) @ (^[Y1 : a > b]: 10.04/2.05 (((((!!) @ (^[Y2 : a]: 10.04/2.05 (((!!) @ (^[Y3 : a]: 10.04/2.05 ((('#sk1' @ Y2 @ 10.04/2.05 Y3) => 10.04/2.05 ('#sk3' @ Y2 @ 10.04/2.05 (Y0 @ Y2) @ 10.04/2.05 (Y1 @ Y3)))))))))) => 10.04/2.05 (((!!) @ (^[Y2 : a]: 10.04/2.05 (((!!) @ (^[Y3 : a]: 10.04/2.05 ((('#sk1' @ Y2 @ 10.04/2.05 Y3) => 10.04/2.05 ('#sk3' @ Y2 @ 10.04/2.05 (Y1 @ Y2) @ 10.04/2.05 (Y0 @ Y3)))))))))))))))))))), 10.04/2.05 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl10])). 10.04/2.05 thf(zip_derived_cl20, plain, 10.04/2.05 (((((^[Y0 : a > b,Y1 : a > b]: 10.04/2.05 (((!!) @ (^[Y2 : a]: 10.04/2.05 (((!!) @ (^[Y3 : a]: 10.04/2.05 ((('#sk1' @ Y2 @ Y3) => ('#sk3' @ Y2 @ 10.04/2.05 (Y0 @ Y2) @ (Y1 @ Y3)))))))))))) 10.04/2.05 != ((^[Y0 : a > b,Y1 : a > b]: 10.04/2.05 (((!!) @ (^[Y2 : a]: 10.04/2.05 (((!!) @ (^[Y3 : a]: 10.04/2.05 ((('#sk2' @ Y2 @ Y3) => ('#sk3' @ 10.04/2.05 Y2 @ (Y0 @ Y2) @ (Y1 @ Y3))))))))))))) 10.04/2.05 | ~ (((!!) @ (^[Y0 : a > b]: 10.04/2.05 (((!!) @ (^[Y1 : a > b]: 10.04/2.05 (((!!) @ (^[Y2 : a > b]: 10.04/2.05 (((((((!!) @ (^[Y3 : a]: 10.04/2.05 (((!!) @ ( 10.04/2.05 ^[Y4 : a]: 10.04/2.05 ((('#sk1' @ 10.04/2.05 Y3 @ 10.04/2.05 Y4) => 10.04/2.05 ('#sk3' @ 10.04/2.05 Y3 @ 10.04/2.05 ( 10.04/2.05 Y1 @ Y3) @ 10.04/2.05 ( 10.04/2.05 Y2 @ Y4)))))))))) & 10.04/2.05 (((!!) @ (^[Y3 : a]: 10.04/2.05 (((!!) @ ( 10.04/2.05 ^[Y4 : a]: 10.04/2.05 ((('#sk1' @ 10.04/2.05 Y3 @ 10.04/2.05 Y4) => 10.04/2.05 ('#sk3' @ 10.04/2.05 Y3 @ 10.04/2.05 ( 10.04/2.05 Y0 @ Y3) @ 10.04/2.05 ( 10.04/2.05 Y1 @ Y4)))))))))))) => 10.04/2.05 (((!!) @ (^[Y3 : a]: 10.04/2.05 (((!!) @ ( 10.04/2.05 ^[Y4 : a]: 10.04/2.05 ((('#sk1' @ 10.04/2.05 Y3 @ Y4) => 10.04/2.05 ('#sk3' @ 10.04/2.05 Y3 @ 10.04/2.05 (Y0 @ Y3) @ 10.04/2.05 (Y2 @ Y4))))))))))))))))))))) 10.04/2.05 | ~ (((!!) @ (^[Y0 : a > b]: 10.04/2.05 (((!!) @ (^[Y1 : a > b]: 10.04/2.05 (((((!!) @ (^[Y2 : a]: 10.04/2.05 (((!!) @ (^[Y3 : a]: 10.04/2.05 ((('#sk1' @ Y2 @ 10.04/2.05 Y3) => 10.04/2.05 ('#sk3' @ Y2 @ 10.04/2.05 (Y0 @ Y2) @ 10.04/2.05 (Y1 @ Y3)))))))))) => 10.04/2.05 (((!!) @ (^[Y2 : a]: 10.04/2.05 (((!!) @ (^[Y3 : a]: 10.04/2.05 ((('#sk1' @ Y2 @ 10.04/2.05 Y3) => 10.04/2.05 ('#sk3' @ Y2 @ 10.04/2.05 (Y1 @ Y2) @ 10.04/2.05 (Y0 @ Y3)))))))))))))))))))), 10.04/2.05 inference('simplify nested equalities', [status(thm)], [zip_derived_cl16])). 10.04/2.05 thf(zip_derived_cl21, plain, 10.04/2.05 (((((^[Y0 : a > b,Y1 : a > b]: 10.04/2.05 (((!!) @ (^[Y2 : a]: 10.04/2.05 (((!!) @ (^[Y3 : a]: 10.04/2.05 ((('#sk1' @ Y2 @ Y3) => ('#sk3' @ Y2 @ 10.04/2.05 (Y0 @ Y2) @ (Y1 @ Y3))))))))))) @ 10.04/2.05 '#_fresh_sk4' @ '#_fresh_sk5') 10.04/2.05 != ((^[Y0 : a > b,Y1 : a > b]: 10.04/2.05 (((!!) @ (^[Y2 : a]: 10.04/2.05 (((!!) @ (^[Y3 : a]: 10.04/2.05 ((('#sk2' @ Y2 @ Y3) => ('#sk3' @ 10.04/2.05 Y2 @ (Y0 @ Y2) @ (Y1 @ Y3))))))))))) @ 10.04/2.05 '#_fresh_sk4' @ '#_fresh_sk5')) 10.04/2.05 | ~ (((!!) @ (^[Y0 : a > b]: 10.04/2.05 (((!!) @ (^[Y1 : a > b]: 10.04/2.05 (((!!) @ (^[Y2 : a > b]: 10.04/2.05 (((((((!!) @ (^[Y3 : a]: 10.04/2.05 (((!!) @ ( 10.04/2.05 ^[Y4 : a]: 10.04/2.05 ((('#sk1' @ 10.04/2.05 Y3 @ 10.04/2.05 Y4) => 10.04/2.05 ('#sk3' @ 10.04/2.05 Y3 @ 10.04/2.05 ( 10.04/2.05 Y1 @ Y3) @ 10.04/2.05 ( 10.04/2.05 Y2 @ Y4)))))))))) & 10.04/2.05 (((!!) @ (^[Y3 : a]: 10.04/2.05 (((!!) @ ( 10.04/2.05 ^[Y4 : a]: 10.04/2.05 ((('#sk1' @ 10.04/2.05 Y3 @ 10.04/2.05 Y4) => 10.04/2.05 ('#sk3' @ 10.04/2.05 Y3 @ 10.04/2.05 ( 10.04/2.05 Y0 @ Y3) @ 10.04/2.05 ( 10.04/2.05 Y1 @ Y4)))))))))))) => 10.04/2.05 (((!!) @ (^[Y3 : a]: 10.04/2.05 (((!!) @ ( 10.04/2.05 ^[Y4 : a]: 10.04/2.05 ((('#sk1' @ 10.04/2.05 Y3 @ Y4) => 10.04/2.05 ('#sk3' @ 10.04/2.05 Y3 @ 10.04/2.05 (Y0 @ Y3) @ 10.04/2.05 (Y2 @ Y4))))))))))))))))))))) 10.04/2.05 | ~ (((!!) @ (^[Y0 : a > b]: 10.04/2.05 (((!!) @ (^[Y1 : a > b]: 10.04/2.05 (((((!!) @ (^[Y2 : a]: 10.04/2.05 (((!!) @ (^[Y3 : a]: 10.04/2.05 ((('#sk1' @ Y2 @ 10.04/2.05 Y3) => 10.04/2.05 ('#sk3' @ Y2 @ 10.04/2.05 (Y0 @ Y2) @ 10.04/2.05 (Y1 @ Y3)))))))))) => 10.04/2.05 (((!!) @ (^[Y2 : a]: 10.04/2.05 (((!!) @ (^[Y3 : a]: 10.04/2.05 ((('#sk1' @ Y2 @ 10.04/2.05 Y3) => 10.04/2.05 ('#sk3' @ Y2 @ 10.04/2.05 (Y1 @ Y2) @ 10.04/2.05 (Y0 @ Y3)))))))))))))))))))), 10.04/2.05 inference('neg_ext_simpl', [status(thm)], [zip_derived_cl20])). 10.04/2.05 thf(zip_derived_cl22, plain, 10.04/2.05 ((((((!!) @ (^[Y0 : a]: 10.04/2.05 (((!!) @ (^[Y1 : a]: 10.04/2.05 ((('#sk1' @ Y0 @ Y1) => ('#sk3' @ Y0 @ 10.04/2.05 ('#_fresh_sk4' @ Y0) @ ('#_fresh_sk5' @ Y1)))))))))) 10.04/2.05 != (((!!) @ (^[Y0 : a]: 10.04/2.05 (((!!) @ (^[Y1 : a]: 10.04/2.05 ((('#sk2' @ Y0 @ Y1) => ('#sk3' @ Y0 @ 10.04/2.05 ('#_fresh_sk4' @ Y0) @ 10.04/2.05 ('#_fresh_sk5' @ Y1))))))))))) 10.04/2.05 | ~ (((!!) @ (^[Y0 : a > b]: 10.04/2.05 (((!!) @ (^[Y1 : a > b]: 10.04/2.05 (((!!) @ (^[Y2 : a > b]: 10.04/2.05 (((((((!!) @ (^[Y3 : a]: 10.04/2.05 (((!!) @ ( 10.04/2.05 ^[Y4 : a]: 10.04/2.05 ((('#sk1' @ 10.04/2.05 Y3 @ 10.04/2.05 Y4) => 10.04/2.05 ('#sk3' @ 10.04/2.05 Y3 @ 10.04/2.05 ( 10.04/2.05 Y1 @ Y3) @ 10.04/2.05 ( 10.04/2.05 Y2 @ Y4)))))))))) & 10.04/2.05 (((!!) @ (^[Y3 : a]: 10.04/2.05 (((!!) @ ( 10.04/2.05 ^[Y4 : a]: 10.04/2.05 ((('#sk1' @ 10.04/2.05 Y3 @ 10.04/2.05 Y4) => 10.04/2.05 ('#sk3' @ 10.04/2.05 Y3 @ 10.04/2.05 ( 10.04/2.05 Y0 @ Y3) @ 10.04/2.05 ( 10.04/2.05 Y1 @ Y4)))))))))))) => 10.04/2.05 (((!!) @ (^[Y3 : a]: 10.04/2.05 (((!!) @ ( 10.04/2.05 ^[Y4 : a]: 10.04/2.05 ((('#sk1' @ 10.04/2.05 Y3 @ Y4) => 10.04/2.05 ('#sk3' @ 10.04/2.05 Y3 @ 10.04/2.05 (Y0 @ Y3) @ 10.04/2.05 (Y2 @ Y4))))))))))))))))))))) 10.04/2.05 | ~ (((!!) @ (^[Y0 : a > b]: 10.04/2.05 (((!!) @ (^[Y1 : a > b]: 10.04/2.05 (((((!!) @ (^[Y2 : a]: 10.04/2.05 (((!!) @ (^[Y3 : a]: 10.04/2.05 ((('#sk1' @ Y2 @ 10.04/2.05 Y3) => 10.04/2.05 ('#sk3' @ Y2 @ 10.04/2.05 (Y0 @ Y2) @ 10.04/2.05 (Y1 @ Y3)))))))))) => 10.04/2.05 (((!!) @ (^[Y2 : a]: 10.04/2.05 (((!!) @ (^[Y3 : a]: 10.04/2.05 ((('#sk1' @ Y2 @ 10.04/2.05 Y3) => 10.04/2.05 ('#sk3' @ Y2 @ 10.04/2.05 (Y1 @ Y2) @ 10.04/2.05 (Y0 @ Y3)))))))))))))))))))), 10.04/2.05 inference('ho_norm', [status(thm)], [zip_derived_cl21])). 10.04/2.05 thf(zip_derived_cl23, plain, 10.04/2.05 ((~ (((!!) @ (^[Y0 : a > b]: 10.04/2.05 (((!!) @ (^[Y1 : a > b]: 10.04/2.05 (((((((!!) @ (^[Y2 : a]: 10.04/2.05 (((!!) @ (^[Y3 : a]: 10.04/2.05 ((('#sk1' @ Y2 @ 10.04/2.05 Y3) => 10.04/2.05 ('#sk3' @ Y2 @ 10.04/2.05 (Y0 @ Y2) @ 10.04/2.05 (Y1 @ Y3)))))))))) & 10.04/2.05 (((!!) @ (^[Y2 : a]: 10.04/2.05 (((!!) @ (^[Y3 : a]: 10.04/2.05 ((('#sk1' @ Y2 @ 10.04/2.05 Y3) => 10.04/2.05 ('#sk3' @ Y2 @ 10.04/2.05 ('#sk6' @ Y2) @ 10.04/2.05 (Y0 @ Y3)))))))))))) => 10.04/2.05 (((!!) @ (^[Y2 : a]: 10.04/2.05 (((!!) @ (^[Y3 : a]: 10.04/2.05 ((('#sk1' @ Y2 @ 10.04/2.05 Y3) => ('#sk3' @ 10.04/2.05 Y2 @ 10.04/2.05 ('#sk6' @ Y2) @ 10.04/2.05 (Y1 @ Y3)))))))))))))))))) 10.04/2.05 | ~ (((!!) @ (^[Y0 : a > b]: 10.04/2.05 (((!!) @ (^[Y1 : a > b]: 10.04/2.05 (((((!!) @ (^[Y2 : a]: 10.04/2.05 (((!!) @ (^[Y3 : a]: 10.04/2.05 ((('#sk1' @ Y2 @ 10.04/2.05 Y3) => 10.04/2.05 ('#sk3' @ Y2 @ 10.04/2.05 (Y0 @ Y2) @ 10.04/2.05 (Y1 @ Y3)))))))))) => 10.04/2.05 (((!!) @ (^[Y2 : a]: 10.04/2.05 (((!!) @ (^[Y3 : a]: 10.04/2.05 ((('#sk1' @ Y2 @ 10.04/2.05 Y3) => 10.04/2.05 ('#sk3' @ Y2 @ 10.04/2.05 (Y1 @ Y2) @ 10.04/2.05 (Y0 @ Y3)))))))))))))))))) 10.04/2.05 | ((((!!) @ (^[Y0 : a]: 10.04/2.05 (((!!) @ (^[Y1 : a]: 10.04/2.05 ((('#sk1' @ Y0 @ Y1) => ('#sk3' @ Y0 @ 10.04/2.05 ('#_fresh_sk4' @ Y0) @ 10.04/2.05 ('#_fresh_sk5' @ Y1)))))))))) 10.04/2.05 != (((!!) @ (^[Y0 : a]: 10.04/2.05 (((!!) @ (^[Y1 : a]: 10.04/2.05 ((('#sk2' @ Y0 @ Y1) => ('#sk3' @ Y0 @ 10.04/2.05 ('#_fresh_sk4' @ Y0) @ 10.04/2.05 ('#_fresh_sk5' @ Y1))))))))))))), 10.04/2.05 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl22])). 10.04/2.05 thf(zip_derived_cl27, plain, 10.04/2.05 ((~ (((!!) @ (^[Y0 : a > b]: 10.04/2.05 (((((((!!) @ (^[Y1 : a]: 10.04/2.05 (((!!) @ (^[Y2 : a]: 10.04/2.05 ((('#sk1' @ Y1 @ Y2) => 10.04/2.05 ('#sk3' @ Y1 @ 10.04/2.05 ('#sk7' @ Y1) @ (Y0 @ Y2)))))))))) & 10.04/2.05 (((!!) @ (^[Y1 : a]: 10.04/2.05 (((!!) @ (^[Y2 : a]: 10.04/2.05 ((('#sk1' @ Y1 @ Y2) => 10.04/2.05 ('#sk3' @ Y1 @ 10.04/2.05 ('#sk6' @ Y1) @ 10.04/2.05 ('#sk7' @ Y2)))))))))))) => 10.04/2.05 (((!!) @ (^[Y1 : a]: 10.04/2.05 (((!!) @ (^[Y2 : a]: 10.04/2.05 ((('#sk1' @ Y1 @ Y2) => 10.04/2.05 ('#sk3' @ Y1 @ 10.04/2.05 ('#sk6' @ Y1) @ (Y0 @ Y2))))))))))))))) 10.04/2.05 | ((((!!) @ (^[Y0 : a]: 10.04/2.05 (((!!) @ (^[Y1 : a]: 10.04/2.05 ((('#sk1' @ Y0 @ Y1) => ('#sk3' @ Y0 @ 10.04/2.05 ('#_fresh_sk4' @ Y0) @ 10.04/2.05 ('#_fresh_sk5' @ Y1)))))))))) 10.04/2.05 != (((!!) @ (^[Y0 : a]: 10.04/2.05 (((!!) @ (^[Y1 : a]: 10.04/2.05 ((('#sk2' @ Y0 @ Y1) => ('#sk3' @ Y0 @ 10.04/2.05 ('#_fresh_sk4' @ Y0) @ 10.04/2.05 ('#_fresh_sk5' @ Y1))))))))))) 10.04/2.05 | ~ (((!!) @ (^[Y0 : a > b]: 10.04/2.05 (((!!) @ (^[Y1 : a > b]: 10.04/2.05 (((((!!) @ (^[Y2 : a]: 10.04/2.05 (((!!) @ (^[Y3 : a]: 10.04/2.05 ((('#sk1' @ Y2 @ 10.04/2.05 Y3) => 10.04/2.05 ('#sk3' @ Y2 @ 10.04/2.05 (Y0 @ Y2) @ 10.04/2.05 (Y1 @ Y3)))))))))) => 10.04/2.05 (((!!) @ (^[Y2 : a]: 10.04/2.05 (((!!) @ (^[Y3 : a]: 10.04/2.05 ((('#sk1' @ Y2 @ 10.04/2.05 Y3) => 10.04/2.05 ('#sk3' @ Y2 @ 10.04/2.05 (Y1 @ Y2) @ 10.04/2.05 (Y0 @ Y3)))))))))))))))))))), 10.04/2.05 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl23])). 10.04/2.05 thf(zip_derived_cl32, plain, 10.04/2.05 ((~ (((((((!!) @ (^[Y0 : a]: 10.04/2.05 (((!!) @ (^[Y1 : a]: 10.04/2.05 ((('#sk1' @ Y0 @ Y1) => ('#sk3' @ Y0 @ 10.04/2.05 ('#sk7' @ Y0) @ ('#sk8' @ Y1)))))))))) & 10.04/2.05 (((!!) @ (^[Y0 : a]: 10.04/2.05 (((!!) @ (^[Y1 : a]: 10.04/2.05 ((('#sk1' @ Y0 @ Y1) => ('#sk3' @ Y0 @ 10.04/2.05 ('#sk6' @ Y0) @ ('#sk7' @ Y1)))))))))))) => 10.04/2.05 (((!!) @ (^[Y0 : a]: 10.04/2.05 (((!!) @ (^[Y1 : a]: 10.04/2.05 ((('#sk1' @ Y0 @ Y1) => ('#sk3' @ Y0 @ 10.04/2.05 ('#sk6' @ Y0) @ ('#sk8' @ Y1)))))))))))) 10.04/2.05 | ~ (((!!) @ (^[Y0 : a > b]: 10.04/2.05 (((!!) @ (^[Y1 : a > b]: 10.04/2.05 (((((!!) @ (^[Y2 : a]: 10.04/2.05 (((!!) @ (^[Y3 : a]: 10.04/2.05 ((('#sk1' @ Y2 @ 10.04/2.05 Y3) => 10.04/2.05 ('#sk3' @ Y2 @ 10.04/2.05 (Y0 @ Y2) @ 10.04/2.05 (Y1 @ Y3)))))))))) => 10.04/2.05 (((!!) @ (^[Y2 : a]: 10.04/2.05 (((!!) @ (^[Y3 : a]: 10.04/2.05 ((('#sk1' @ Y2 @ 10.04/2.05 Y3) => 10.04/2.05 ('#sk3' @ Y2 @ 10.04/2.05 (Y1 @ Y2) @ 10.04/2.05 (Y0 @ Y3)))))))))))))))))) 10.04/2.05 | ((((!!) @ (^[Y0 : a]: 10.04/2.05 (((!!) @ (^[Y1 : a]: 10.04/2.05 ((('#sk1' @ Y0 @ Y1) => ('#sk3' @ Y0 @ 10.04/2.05 ('#_fresh_sk4' @ Y0) @ 10.04/2.05 ('#_fresh_sk5' @ Y1)))))))))) 10.04/2.05 != (((!!) @ (^[Y0 : a]: 10.04/2.05 (((!!) @ (^[Y1 : a]: 10.04/2.05 ((('#sk2' @ Y0 @ Y1) => ('#sk3' @ Y0 @ 10.04/2.05 ('#_fresh_sk4' @ Y0) @ 10.04/2.05 ('#_fresh_sk5' @ Y1))))))))))))), 10.04/2.05 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl27])). 10.04/2.05 thf(zip_derived_cl39, plain, 10.04/2.05 ((~ (((!!) @ (^[Y0 : a]: 10.04/2.05 (((!!) @ (^[Y1 : a]: 10.04/2.05 ((('#sk1' @ Y0 @ Y1) => ('#sk3' @ Y0 @ 10.04/2.05 ('#sk6' @ Y0) @ ('#sk8' @ Y1)))))))))) 10.04/2.05 | ((((!!) @ (^[Y0 : a]: 10.04/2.05 (((!!) @ (^[Y1 : a]: 10.04/2.05 ((('#sk1' @ Y0 @ Y1) => ('#sk3' @ Y0 @ 10.04/2.05 ('#_fresh_sk4' @ Y0) @ 10.04/2.05 ('#_fresh_sk5' @ Y1)))))))))) 10.04/2.05 != (((!!) @ (^[Y0 : a]: 10.04/2.05 (((!!) @ (^[Y1 : a]: 10.04/2.05 ((('#sk2' @ Y0 @ Y1) => ('#sk3' @ Y0 @ 10.04/2.05 ('#_fresh_sk4' @ Y0) @ 10.04/2.05 ('#_fresh_sk5' @ Y1))))))))))) 10.04/2.05 | ~ (((!!) @ (^[Y0 : a > b]: 10.04/2.05 (((!!) @ (^[Y1 : a > b]: 10.04/2.05 (((((!!) @ (^[Y2 : a]: 10.04/2.05 (((!!) @ (^[Y3 : a]: 10.04/2.05 ((('#sk1' @ Y2 @ 10.04/2.05 Y3) => 10.04/2.05 ('#sk3' @ Y2 @ 10.04/2.05 (Y0 @ Y2) @ 10.04/2.05 (Y1 @ Y3)))))))))) => 10.04/2.05 (((!!) @ (^[Y2 : a]: 10.04/2.05 (((!!) @ (^[Y3 : a]: 10.04/2.05 ((('#sk1' @ Y2 @ 10.04/2.05 Y3) => 10.04/2.05 ('#sk3' @ Y2 @ 10.04/2.05 (Y1 @ Y2) @ 10.04/2.05 (Y0 @ Y3)))))))))))))))))))), 10.04/2.05 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl32])). 10.04/2.05 thf(zip_derived_cl38, plain, 10.04/2.05 (( (((((!!) @ (^[Y0 : a]: 10.04/2.05 (((!!) @ (^[Y1 : a]: 10.04/2.05 ((('#sk1' @ Y0 @ Y1) => ('#sk3' @ Y0 @ 10.04/2.05 ('#sk7' @ Y0) @ ('#sk8' @ Y1)))))))))) & 10.04/2.05 (((!!) @ (^[Y0 : a]: 10.04/2.05 (((!!) @ (^[Y1 : a]: 10.04/2.05 ((('#sk1' @ Y0 @ Y1) => ('#sk3' @ Y0 @ 10.04/2.05 ('#sk6' @ Y0) @ ('#sk7' @ Y1)))))))))))) 10.04/2.05 | ((((!!) @ (^[Y0 : a]: 10.04/2.05 (((!!) @ (^[Y1 : a]: 10.04/2.05 ((('#sk1' @ Y0 @ Y1) => ('#sk3' @ Y0 @ 10.04/2.05 ('#_fresh_sk4' @ Y0) @ 10.04/2.05 ('#_fresh_sk5' @ Y1)))))))))) 10.04/2.05 != (((!!) @ (^[Y0 : a]: 10.04/2.05 (((!!) @ (^[Y1 : a]: 10.04/2.05 ((('#sk2' @ Y0 @ Y1) => ('#sk3' @ Y0 @ 10.04/2.05 ('#_fresh_sk4' @ Y0) @ 10.04/2.05 ('#_fresh_sk5' @ Y1))))))))))) 10.04/2.05 | ~ (((!!) @ (^[Y0 : a > b]: 10.04/2.05 (((!!) @ (^[Y1 : a > b]: 10.04/2.05 (((((!!) @ (^[Y2 : a]: 10.04/2.05 (((!!) @ (^[Y3 : a]: 10.04/2.05 ((('#sk1' @ Y2 @ 10.04/2.05 Y3) => 10.04/2.05 ('#sk3' @ Y2 @ 10.04/2.05 (Y0 @ Y2) @ 10.04/2.05 (Y1 @ Y3)))))))))) => 10.04/2.05 (((!!) @ (^[Y2 : a]: 10.04/2.05 (((!!) @ (^[Y3 : a]: 10.04/2.05 ((('#sk1' @ Y2 @ 10.04/2.05 Y3) => 10.04/2.05 ('#sk3' @ Y2 @ 10.04/2.05 (Y1 @ Y2) @ 10.04/2.05 (Y0 @ Y3)))))))))))))))))))), 10.04/2.05 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl32])). 10.04/2.05 thf(zip_derived_cl42, plain, 10.04/2.05 (( ('#form9') 10.04/2.05 | ~ (((!!) @ (^[Y0 : a > b]: 10.04/2.05 (((!!) @ (^[Y1 : a > b]: 10.04/2.05 (((((!!) @ (^[Y2 : a]: 10.04/2.05 (((!!) @ (^[Y3 : a]: 10.04/2.05 ((('#sk1' @ Y2 @ 10.04/2.05 Y3) => 10.04/2.05 ('#sk3' @ Y2 @ 10.04/2.05 (Y0 @ Y2) @ 10.04/2.05 (Y1 @ Y3)))))))))) => 10.04/2.05 (((!!) @ (^[Y2 : a]: 10.04/2.05 (((!!) @ (^[Y3 : a]: 10.04/2.05 ((('#sk1' @ Y2 @ 10.04/2.05 Y3) => 10.04/2.05 ('#sk3' @ Y2 @ 10.04/2.05 (Y1 @ Y2) @ 10.04/2.05 (Y0 @ Y3)))))))))))))))))))), 10.04/2.05 define([status(thm)])). 10.04/2.05 thf(zip_derived_cl45, plain, 10.04/2.05 ((~ ('#form9') 10.04/2.05 | ((((!!) @ (^[Y0 : a]: 10.04/2.05 (((!!) @ (^[Y1 : a]: 10.04/2.05 ((('#sk1' @ Y0 @ Y1) => ('#sk3' @ Y0 @ 10.04/2.05 ('#_fresh_sk4' @ Y0) @ 10.04/2.05 ('#_fresh_sk5' @ Y1)))))))))) 10.04/2.05 != (((!!) @ (^[Y0 : a]: 10.04/2.05 (((!!) @ (^[Y1 : a]: 10.04/2.05 ((('#sk2' @ Y0 @ Y1) => ('#sk3' @ Y0 @ 10.04/2.05 ('#_fresh_sk4' @ Y0) @ 10.04/2.05 ('#_fresh_sk5' @ Y1))))))))))) 10.04/2.05 | ~ (((!!) @ (^[Y0 : a]: 10.04/2.05 (((!!) @ (^[Y1 : a]: 10.04/2.05 ((('#sk1' @ Y0 @ Y1) => ('#sk3' @ Y0 @ 10.04/2.05 ('#sk6' @ Y0) @ ('#sk8' @ Y1)))))))))))), 10.04/2.05 inference('renaming', [status(thm)], [zip_derived_cl39, zip_derived_cl42])). 10.04/2.05 thf(zip_derived_cl45, plain, 10.04/2.05 ((~ ('#form9') 10.04/2.05 | ((((!!) @ (^[Y0 : a]: 10.04/2.05 (((!!) @ (^[Y1 : a]: 10.04/2.05 ((('#sk1' @ Y0 @ Y1) => ('#sk3' @ Y0 @ 10.04/2.05 ('#_fresh_sk4' @ Y0) @ 10.04/2.05 ('#_fresh_sk5' @ Y1)))))))))) 10.04/2.05 != (((!!) @ (^[Y0 : a]: 10.04/2.05 (((!!) @ (^[Y1 : a]: 10.04/2.05 ((('#sk2' @ Y0 @ Y1) => ('#sk3' @ Y0 @ 10.04/2.05 ('#_fresh_sk4' @ Y0) @ 10.04/2.05 ('#_fresh_sk5' @ Y1))))))))))) 10.04/2.05 | ~ (((!!) @ (^[Y0 : a]: 10.04/2.05 (((!!) @ (^[Y1 : a]: 10.04/2.05 ((('#sk1' @ Y0 @ Y1) => ('#sk3' @ Y0 @ 10.04/2.05 ('#sk6' @ Y0) @ ('#sk8' @ Y1)))))))))))), 10.04/2.05 inference('renaming', [status(thm)], [zip_derived_cl39, zip_derived_cl42])). 10.04/2.05 thf(zip_derived_cl51, plain, 10.04/2.05 (( ('#form12') 10.04/2.05 | ~ (((((!!) @ (^[Y0 : a]: 10.04/2.05 (((!!) @ (^[Y1 : a]: 10.04/2.05 ((('#sk1' @ Y0 @ Y1) => ('#sk3' @ Y0 @ 10.04/2.05 ('#_fresh_sk4' @ Y0) @ 10.04/2.05 ('#_fresh_sk5' @ Y1)))))))))) <=> 10.04/2.05 (((!!) @ (^[Y0 : a]: 10.04/2.05 (((!!) @ (^[Y1 : a]: 10.04/2.05 ((('#sk2' @ Y0 @ Y1) => ('#sk3' @ Y0 @ 10.04/2.05 ('#_fresh_sk4' @ Y0) @ 10.04/2.05 ('#_fresh_sk5' @ Y1)))))))))))))), 10.04/2.05 define([status(thm)])). 10.04/2.05 thf(zip_derived_cl54, plain, 10.04/2.05 ((~ ('#form12') 10.04/2.05 | ~ (((!!) @ (^[Y0 : a]: 10.04/2.05 (((!!) @ (^[Y1 : a]: 10.04/2.05 ((('#sk1' @ Y0 @ Y1) => ('#sk3' @ Y0 @ 10.04/2.05 ('#sk6' @ Y0) @ ('#sk8' @ Y1)))))))))) 10.04/2.05 | ~ ('#form9'))), 10.04/2.05 inference('renaming', [status(thm)], [zip_derived_cl45, zip_derived_cl51])). 10.04/2.05 thf(zip_derived_cl60, plain, 10.04/2.05 ((~ (((!!) @ (^[Y0 : a]: 10.04/2.05 ((('#sk1' @ '#sk13' @ Y0) => ('#sk3' @ '#sk13' @ 10.04/2.05 ('#sk6' @ '#sk13') @ ('#sk8' @ Y0))))))) 10.04/2.05 | ~ ('#form9') 10.04/2.05 | ~ ('#form12'))), 10.04/2.05 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl54])). 10.04/2.05 thf(zip_derived_cl68, plain, 10.04/2.05 ((~ ((('#sk1' @ '#sk13' @ '#sk16') => ('#sk3' @ '#sk13' @ 10.04/2.05 ('#sk6' @ '#sk13') @ ('#sk8' @ '#sk16')))) 10.04/2.05 | ~ ('#form12') 10.04/2.05 | ~ ('#form9'))), 10.04/2.05 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl60])). 10.04/2.05 thf(zip_derived_cl75, plain, 10.04/2.05 (( ('#sk1' @ '#sk13' @ '#sk16') | ~ ('#form9') | ~ ('#form12'))), 10.04/2.05 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl68])). 10.04/2.05 thf(zip_derived_cl9, plain, 10.04/2.05 ( (((!!) @ (^[Y0 : a]: 10.04/2.05 (((!!) @ (^[Y1 : a]: 10.04/2.05 ((('#sk1' @ Y0 @ Y1) => 10.04/2.05 (((((!!) @ (^[Y2 : b]: 10.04/2.05 (((!!) @ (^[Y3 : b]: 10.04/2.05 (((!!) @ (^[Y4 : b]: 10.04/2.05 (( 10.04/2.05 (( 10.04/2.05 ('#sk3' @ 10.04/2.05 Y0 @ 10.04/2.05 Y3 @ 10.04/2.05 Y4) & 10.04/2.05 ('#sk3' @ 10.04/2.05 Y0 @ 10.04/2.05 Y2 @ Y3))) => 10.04/2.05 ('#sk3' @ 10.04/2.05 Y0 @ 10.04/2.05 Y2 @ Y4)))))))))))) & 10.04/2.05 ((('#sk3' @ Y0) = ('#sk3' @ Y1))) & 10.04/2.05 (((!!) @ (^[Y2 : b]: 10.04/2.05 (((!!) @ (^[Y3 : b]: 10.04/2.05 ((('#sk3' @ Y0 @ 10.04/2.05 Y2 @ Y3) => 10.04/2.05 ('#sk3' @ Y0 @ 10.04/2.05 Y3 @ Y2)))))))))))))))))))), 10.04/2.05 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl5])). 10.04/2.05 thf(zip_derived_cl15, plain, 10.04/2.05 (![X2 : a]: 10.04/2.05 (((!!) @ (^[Y0 : a]: 10.04/2.05 ((('#sk1' @ X2 @ Y0) => 10.04/2.05 (((((!!) @ (^[Y1 : b]: 10.04/2.05 (((!!) @ (^[Y2 : b]: 10.04/2.05 (((!!) @ (^[Y3 : b]: 10.04/2.05 ((((('#sk3' @ 10.04/2.05 X2 @ Y2 @ 10.04/2.05 Y3) & 10.04/2.05 ('#sk3' @ 10.04/2.05 X2 @ Y1 @ Y2))) => 10.04/2.05 ('#sk3' @ X2 @ 10.04/2.05 Y1 @ Y3)))))))))))) & 10.04/2.05 ((('#sk3' @ X2) = ('#sk3' @ Y0))) & 10.04/2.05 (((!!) @ (^[Y1 : b]: 10.04/2.05 (((!!) @ (^[Y2 : b]: 10.04/2.05 ((('#sk3' @ X2 @ Y1 @ Y2) => 10.04/2.05 ('#sk3' @ X2 @ Y2 @ Y1))))))))))))))))), 10.04/2.05 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl9])). 10.04/2.05 thf(zip_derived_cl19, plain, 10.04/2.05 (![X2 : a, X4 : a]: 10.04/2.05 ((('#sk1' @ X2 @ X4) => 10.04/2.05 (((((!!) @ (^[Y0 : b]: 10.04/2.05 (((!!) @ (^[Y1 : b]: 10.04/2.05 (((!!) @ (^[Y2 : b]: 10.04/2.05 ((((('#sk3' @ X2 @ Y1 @ Y2) & 10.04/2.05 ('#sk3' @ X2 @ Y0 @ Y1))) => 10.04/2.05 ('#sk3' @ X2 @ Y0 @ Y2)))))))))))) & 10.04/2.05 ((('#sk3' @ X2) = ('#sk3' @ X4))) & 10.04/2.05 (((!!) @ (^[Y0 : b]: 10.04/2.05 (((!!) @ (^[Y1 : b]: 10.04/2.05 ((('#sk3' @ X2 @ Y0 @ Y1) => ('#sk3' @ 10.04/2.05 X2 @ Y1 @ Y0)))))))))))))), 10.04/2.05 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl15])). 10.04/2.05 thf(zip_derived_cl26, plain, 10.04/2.05 (![X2 : a, X4 : a]: 10.04/2.05 (~ ('#sk1' @ X2 @ X4) 10.04/2.05 | (((((!!) @ (^[Y0 : b]: 10.04/2.05 (((!!) @ (^[Y1 : b]: 10.04/2.05 (((!!) @ (^[Y2 : b]: 10.04/2.05 ((((('#sk3' @ X2 @ Y1 @ 10.04/2.05 Y2) & ('#sk3' @ X2 @ 10.04/2.05 Y0 @ Y1))) => 10.04/2.05 ('#sk3' @ X2 @ Y0 @ Y2)))))))))))) & 10.04/2.05 ((('#sk3' @ X2) = ('#sk3' @ X4))) & 10.04/2.05 (((!!) @ (^[Y0 : b]: 10.04/2.05 (((!!) @ (^[Y1 : b]: 10.04/2.05 ((('#sk3' @ X2 @ Y0 @ Y1) => ('#sk3' @ 10.04/2.05 X2 @ Y1 @ Y0))))))))))))), 10.04/2.05 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl19])). 10.04/2.05 thf(zip_derived_cl30, plain, 10.04/2.05 (![X2 : a, X4 : a]: 10.04/2.05 ( ((('#sk3' @ X2) = ('#sk3' @ X4))) | ~ ('#sk1' @ X2 @ X4))), 10.04/2.05 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl26])). 10.04/2.05 thf(zip_derived_cl35, plain, 10.04/2.05 (![X2 : a, X4 : a]: 10.04/2.05 ((('#sk3' @ X2) = ('#sk3' @ X4)) | ~ ('#sk1' @ X2 @ X4))), 10.04/2.05 inference('simplify nested equalities', [status(thm)], [zip_derived_cl30])). 10.04/2.05 thf(zip_derived_cl36, plain, 10.04/2.05 (![X2 : a, X4 : a, X6 : b, X7 : b]: 10.04/2.05 ((('#sk3' @ X2 @ X6 @ X7) = ('#sk3' @ X4 @ X6 @ X7)) 10.04/2.05 | ~ ('#sk1' @ X2 @ X4))), 10.04/2.05 inference('arg_cong_simpl', [status(thm)], [zip_derived_cl35])). 10.04/2.05 thf(zip_derived_cl181, plain, 10.04/2.05 (![X0 : b, X1 : b]: 10.04/2.05 (~ ('#form12') 10.04/2.05 | ~ ('#form9') 10.04/2.05 | (('#sk3' @ '#sk13' @ X1 @ X0) = ('#sk3' @ '#sk16' @ X1 @ X0)))), 10.04/2.05 inference('sup-', [status(thm)], [zip_derived_cl75, zip_derived_cl36])). 10.04/2.05 thf(zip_derived_cl38, plain, 10.04/2.05 (( (((((!!) @ (^[Y0 : a]: 10.04/2.05 (((!!) @ (^[Y1 : a]: 10.04/2.05 ((('#sk1' @ Y0 @ Y1) => ('#sk3' @ Y0 @ 10.04/2.05 ('#sk7' @ Y0) @ ('#sk8' @ Y1)))))))))) & 10.04/2.05 (((!!) @ (^[Y0 : a]: 10.04/2.05 (((!!) @ (^[Y1 : a]: 10.04/2.05 ((('#sk1' @ Y0 @ Y1) => ('#sk3' @ Y0 @ 10.04/2.05 ('#sk6' @ Y0) @ ('#sk7' @ Y1)))))))))))) 10.04/2.05 | ((((!!) @ (^[Y0 : a]: 10.04/2.05 (((!!) @ (^[Y1 : a]: 10.04/2.05 ((('#sk1' @ Y0 @ Y1) => ('#sk3' @ Y0 @ 10.04/2.05 ('#_fresh_sk4' @ Y0) @ 10.04/2.05 ('#_fresh_sk5' @ Y1)))))))))) 10.04/2.05 != (((!!) @ (^[Y0 : a]: 10.04/2.05 (((!!) @ (^[Y1 : a]: 10.04/2.05 ((('#sk2' @ Y0 @ Y1) => ('#sk3' @ Y0 @ 10.04/2.05 ('#_fresh_sk4' @ Y0) @ 10.04/2.05 ('#_fresh_sk5' @ Y1))))))))))) 10.04/2.05 | ~ (((!!) @ (^[Y0 : a > b]: 10.04/2.05 (((!!) @ (^[Y1 : a > b]: 10.04/2.05 (((((!!) @ (^[Y2 : a]: 10.04/2.05 (((!!) @ (^[Y3 : a]: 10.04/2.05 ((('#sk1' @ Y2 @ 10.04/2.05 Y3) => 10.04/2.05 ('#sk3' @ Y2 @ 10.04/2.05 (Y0 @ Y2) @ 10.04/2.05 (Y1 @ Y3)))))))))) => 10.04/2.05 (((!!) @ (^[Y2 : a]: 10.04/2.05 (((!!) @ (^[Y3 : a]: 10.04/2.05 ((('#sk1' @ Y2 @ 10.04/2.05 Y3) => 10.04/2.05 ('#sk3' @ Y2 @ 10.04/2.05 (Y1 @ Y2) @ 10.04/2.05 (Y0 @ Y3)))))))))))))))))))), 10.04/2.05 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl32])). 10.04/2.05 thf(zip_derived_cl42, plain, 10.04/2.05 (( ('#form9') 10.04/2.05 | ~ (((!!) @ (^[Y0 : a > b]: 10.04/2.05 (((!!) @ (^[Y1 : a > b]: 10.04/2.05 (((((!!) @ (^[Y2 : a]: 10.04/2.05 (((!!) @ (^[Y3 : a]: 10.04/2.05 ((('#sk1' @ Y2 @ 10.04/2.05 Y3) => 10.04/2.05 ('#sk3' @ Y2 @ 10.04/2.05 (Y0 @ Y2) @ 10.04/2.05 (Y1 @ Y3)))))))))) => 10.04/2.05 (((!!) @ (^[Y2 : a]: 10.04/2.05 (((!!) @ (^[Y3 : a]: 10.04/2.05 ((('#sk1' @ Y2 @ 10.04/2.05 Y3) => 10.04/2.05 ('#sk3' @ Y2 @ 10.04/2.05 (Y1 @ Y2) @ 10.04/2.05 (Y0 @ Y3)))))))))))))))))))), 10.04/2.05 define([status(thm)])). 10.04/2.05 thf(zip_derived_cl44, plain, 10.04/2.05 ((~ ('#form9') 10.04/2.05 | ((((!!) @ (^[Y0 : a]: 10.04/2.05 (((!!) @ (^[Y1 : a]: 10.04/2.05 ((('#sk1' @ Y0 @ Y1) => ('#sk3' @ Y0 @ 10.04/2.05 ('#_fresh_sk4' @ Y0) @ 10.04/2.05 ('#_fresh_sk5' @ Y1)))))))))) 10.04/2.05 != (((!!) @ (^[Y0 : a]: 10.04/2.05 (((!!) @ (^[Y1 : a]: 10.04/2.05 ((('#sk2' @ Y0 @ Y1) => ('#sk3' @ Y0 @ 10.04/2.05 ('#_fresh_sk4' @ Y0) @ 10.04/2.05 ('#_fresh_sk5' @ Y1))))))))))) 10.04/2.05 | (((((!!) @ (^[Y0 : a]: 10.04/2.05 (((!!) @ (^[Y1 : a]: 10.04/2.05 ((('#sk1' @ Y0 @ Y1) => ('#sk3' @ Y0 @ 10.04/2.05 ('#sk7' @ Y0) @ ('#sk8' @ Y1)))))))))) & 10.04/2.05 (((!!) @ (^[Y0 : a]: 10.04/2.05 (((!!) @ (^[Y1 : a]: 10.04/2.05 ((('#sk1' @ Y0 @ Y1) => ('#sk3' @ Y0 @ 10.04/2.05 ('#sk6' @ Y0) @ ('#sk7' @ Y1)))))))))))))), 10.04/2.05 inference('renaming', [status(thm)], [zip_derived_cl38, zip_derived_cl42])). 10.04/2.05 thf(zip_derived_cl49, plain, 10.04/2.05 (( (((!!) @ (^[Y0 : a]: 10.04/2.05 (((!!) @ (^[Y1 : a]: 10.04/2.05 ((('#sk1' @ Y0 @ Y1) => ('#sk3' @ Y0 @ 10.04/2.05 ('#sk6' @ Y0) @ ('#sk7' @ Y1)))))))))) 10.04/2.05 | ((((!!) @ (^[Y0 : a]: 10.04/2.05 (((!!) @ (^[Y1 : a]: 10.04/2.05 ((('#sk1' @ Y0 @ Y1) => ('#sk3' @ Y0 @ 10.04/2.05 ('#_fresh_sk4' @ Y0) @ 10.04/2.05 ('#_fresh_sk5' @ Y1)))))))))) 10.04/2.05 != (((!!) @ (^[Y0 : a]: 10.04/2.05 (((!!) @ (^[Y1 : a]: 10.04/2.05 ((('#sk2' @ Y0 @ Y1) => ('#sk3' @ Y0 @ 10.04/2.05 ('#_fresh_sk4' @ Y0) @ 10.04/2.05 ('#_fresh_sk5' @ Y1))))))))))) 10.04/2.05 | ~ ('#form9'))), 10.04/2.05 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl44])). 10.04/2.05 thf(zip_derived_cl51, plain, 10.04/2.05 (( ('#form12') 10.04/2.05 | ~ (((((!!) @ (^[Y0 : a]: 10.04/2.05 (((!!) @ (^[Y1 : a]: 10.04/2.05 ((('#sk1' @ Y0 @ Y1) => ('#sk3' @ Y0 @ 10.04/2.05 ('#_fresh_sk4' @ Y0) @ 10.04/2.05 ('#_fresh_sk5' @ Y1)))))))))) <=> 10.04/2.05 (((!!) @ (^[Y0 : a]: 10.04/2.05 (((!!) @ (^[Y1 : a]: 10.04/2.05 ((('#sk2' @ Y0 @ Y1) => ('#sk3' @ Y0 @ 10.04/2.05 ('#_fresh_sk4' @ Y0) @ 10.04/2.05 ('#_fresh_sk5' @ Y1)))))))))))))), 10.04/2.05 define([status(thm)])). 10.04/2.05 thf(zip_derived_cl57, plain, 10.04/2.05 ((~ ('#form12') 10.04/2.05 | ~ ('#form9') 10.04/2.05 | (((!!) @ (^[Y0 : a]: 10.04/2.05 (((!!) @ (^[Y1 : a]: 10.04/2.05 ((('#sk1' @ Y0 @ Y1) => ('#sk3' @ Y0 @ 10.04/2.05 ('#sk6' @ Y0) @ ('#sk7' @ Y1)))))))))))), 10.04/2.05 inference('renaming', [status(thm)], [zip_derived_cl49, zip_derived_cl51])). 10.04/2.05 thf(zip_derived_cl65, plain, 10.04/2.05 (![X2 : a]: 10.04/2.05 ( (((!!) @ (^[Y0 : a]: 10.04/2.05 ((('#sk1' @ X2 @ Y0) => ('#sk3' @ X2 @ ('#sk6' @ X2) @ 10.04/2.05 ('#sk7' @ Y0))))))) 10.04/2.05 | ~ ('#form9') 10.04/2.05 | ~ ('#form12'))), 10.04/2.05 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl57])). 10.04/2.05 thf(zip_derived_cl72, plain, 10.04/2.05 (![X2 : a, X4 : a]: 10.04/2.05 ( ((('#sk1' @ X2 @ X4) => ('#sk3' @ X2 @ ('#sk6' @ X2) @ 10.04/2.05 ('#sk7' @ X4)))) 10.04/2.05 | ~ ('#form12') 10.04/2.05 | ~ ('#form9'))), 10.04/2.05 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl65])). 10.04/2.05 thf(zip_derived_cl81, plain, 10.04/2.05 (![X2 : a, X4 : a]: 10.04/2.05 (~ ('#sk1' @ X2 @ X4) 10.04/2.05 | ('#sk3' @ X2 @ ('#sk6' @ X2) @ ('#sk7' @ X4)) 10.04/2.05 | ~ ('#form9') 10.04/2.05 | ~ ('#form12'))), 10.04/2.05 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl72])). 10.04/2.05 thf(zip_derived_cl666, plain, 10.04/2.05 (![X0 : a]: 10.04/2.05 ( ('#sk3' @ '#sk16' @ ('#sk6' @ '#sk13') @ ('#sk7' @ X0)) 10.04/2.05 | ~ ('#form9') 10.04/2.05 | ~ ('#form12') 10.04/2.05 | ~ ('#form12') 10.04/2.05 | ~ ('#form9') 10.04/2.05 | ~ ('#sk1' @ '#sk13' @ X0))), 10.04/2.05 inference('sup+', [status(thm)], [zip_derived_cl181, zip_derived_cl81])). 10.04/2.05 thf(zip_derived_cl694, plain, 10.04/2.05 (![X0 : a]: 10.04/2.05 (~ ('#sk1' @ '#sk13' @ X0) 10.04/2.05 | ~ ('#form12') 10.04/2.05 | ~ ('#form9') 10.04/2.05 | ('#sk3' @ '#sk16' @ ('#sk6' @ '#sk13') @ ('#sk7' @ X0)))), 10.04/2.05 inference('simplify', [status(thm)], [zip_derived_cl666])). 10.04/2.05 thf(zip_derived_cl51, plain, 10.04/2.05 (( ('#form12') 10.04/2.05 | ~ (((((!!) @ (^[Y0 : a]: 10.04/2.05 (((!!) @ (^[Y1 : a]: 10.04/2.05 ((('#sk1' @ Y0 @ Y1) => ('#sk3' @ Y0 @ 10.04/2.05 ('#_fresh_sk4' @ Y0) @ 10.04/2.05 ('#_fresh_sk5' @ Y1)))))))))) <=> 10.04/2.05 (((!!) @ (^[Y0 : a]: 10.04/2.05 (((!!) @ (^[Y1 : a]: 10.04/2.05 ((('#sk2' @ Y0 @ Y1) => ('#sk3' @ Y0 @ 10.04/2.05 ('#_fresh_sk4' @ Y0) @ 10.04/2.05 ('#_fresh_sk5' @ Y1)))))))))))))), 10.04/2.05 define([status(thm)])). 10.04/2.05 thf(zip_derived_cl53, plain, 10.04/2.05 ((~ (((!!) @ (^[Y0 : a]: 10.04/2.05 (((!!) @ (^[Y1 : a]: 10.04/2.05 ((('#sk1' @ Y0 @ Y1) => ('#sk3' @ Y0 @ 10.04/2.05 ('#_fresh_sk4' @ Y0) @ 10.04/2.05 ('#_fresh_sk5' @ Y1)))))))))) 10.04/2.05 | ~ (((!!) @ (^[Y0 : a]: 10.04/2.05 (((!!) @ (^[Y1 : a]: 10.04/2.05 ((('#sk2' @ Y0 @ Y1) => ('#sk3' @ Y0 @ 10.04/2.05 ('#_fresh_sk4' @ Y0) @ 10.04/2.05 ('#_fresh_sk5' @ Y1)))))))))) 10.04/2.05 | ('#form12'))), 10.04/2.05 inference('lazy_cnf_xor', [status(thm)], [zip_derived_cl51])). 10.04/2.05 thf(zip_derived_cl61, plain, 10.04/2.05 ((~ (((!!) @ (^[Y0 : a]: 10.04/2.05 ((('#sk1' @ '#sk14' @ Y0) => ('#sk3' @ '#sk14' @ 10.04/2.05 ('#_fresh_sk4' @ '#sk14') @ ('#_fresh_sk5' @ Y0))))))) 10.04/2.05 | ('#form12') 10.04/2.05 | ~ (((!!) @ (^[Y0 : a]: 10.04/2.05 (((!!) @ (^[Y1 : a]: 10.04/2.05 ((('#sk2' @ Y0 @ Y1) => ('#sk3' @ Y0 @ 10.04/2.05 ('#_fresh_sk4' @ Y0) @ 10.04/2.05 ('#_fresh_sk5' @ Y1)))))))))))), 10.04/2.05 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl53])). 10.04/2.05 thf(zip_derived_cl69, plain, 10.04/2.05 ((~ ((('#sk1' @ '#sk14' @ '#sk17') => ('#sk3' @ '#sk14' @ 10.04/2.05 ('#_fresh_sk4' @ '#sk14') @ ('#_fresh_sk5' @ '#sk17')))) 10.04/2.05 | ~ (((!!) @ (^[Y0 : a]: 10.04/2.05 (((!!) @ (^[Y1 : a]: 10.04/2.05 ((('#sk2' @ Y0 @ Y1) => ('#sk3' @ Y0 @ 10.04/2.05 ('#_fresh_sk4' @ Y0) @ 10.04/2.05 ('#_fresh_sk5' @ Y1)))))))))) 10.04/2.05 | ('#form12'))), 10.04/2.05 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl61])). 10.04/2.05 thf(zip_derived_cl77, plain, 10.04/2.05 (( ('#sk1' @ '#sk14' @ '#sk17') 10.04/2.05 | ('#form12') 10.04/2.05 | ~ (((!!) @ (^[Y0 : a]: 10.04/2.05 (((!!) @ (^[Y1 : a]: 10.04/2.05 ((('#sk2' @ Y0 @ Y1) => ('#sk3' @ Y0 @ 10.04/2.05 ('#_fresh_sk4' @ Y0) @ 10.04/2.05 ('#_fresh_sk5' @ Y1)))))))))))), 10.04/2.05 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl69])). 10.04/2.05 thf(zip_derived_cl85, plain, 10.04/2.05 (( ('#form19') 10.04/2.05 | ~ (((!!) @ (^[Y0 : a]: 10.04/2.05 (((!!) @ (^[Y1 : a]: 10.04/2.05 ((('#sk2' @ Y0 @ Y1) => ('#sk3' @ Y0 @ 10.04/2.05 ('#_fresh_sk4' @ Y0) @ 10.04/2.05 ('#_fresh_sk5' @ Y1)))))))))))), 10.04/2.05 define([status(thm)])). 10.04/2.05 thf(zip_derived_cl86, plain, 10.04/2.05 ((~ (((!!) @ (^[Y0 : a]: 10.04/2.05 ((('#sk2' @ '#sk20' @ Y0) => ('#sk3' @ '#sk20' @ 10.04/2.05 ('#_fresh_sk4' @ '#sk20') @ ('#_fresh_sk5' @ Y0))))))) 10.04/2.05 | ('#form19'))), 10.04/2.05 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl85])). 10.04/2.05 thf(zip_derived_cl92, plain, 10.04/2.05 ((~ ((('#sk2' @ '#sk20' @ '#sk21') => ('#sk3' @ '#sk20' @ 10.04/2.05 ('#_fresh_sk4' @ '#sk20') @ ('#_fresh_sk5' @ '#sk21')))) 10.04/2.05 | ('#form19'))), 10.04/2.05 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl86])). 10.04/2.05 thf(zip_derived_cl94, plain, 10.04/2.05 (( ('#sk2' @ '#sk20' @ '#sk21') | ('#form19'))), 10.04/2.05 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl92])). 10.04/2.05 thf(zip_derived_cl4, plain, 10.04/2.05 ( (((((!!) @ (^[Y0 : a]: 10.04/2.05 (((!!) @ (^[Y1 : a]: 10.04/2.05 (((!!) @ (^[Y2 : a]: 10.04/2.05 ((((('#sk1' @ Y0 @ Y1) & 10.04/2.05 ('#sk1' @ Y1 @ Y2))) => 10.04/2.05 ('#sk1' @ Y0 @ Y2)))))))))))) & 10.04/2.05 ((('#sk1') = ('#sk2'))) & 10.04/2.05 (((!!) @ (^[Y0 : a]: 10.04/2.05 (((!!) @ (^[Y1 : a]: 10.04/2.05 ((('#sk1' @ Y0 @ Y1) => ('#sk1' @ Y1 @ Y0)))))))))))), 10.04/2.05 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl3])). 10.04/2.05 thf(zip_derived_cl7, plain, ( ((('#sk1') = ('#sk2')))), 10.04/2.05 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl4])). 10.04/2.05 thf(zip_derived_cl12, plain, ((('#sk1') = ('#sk2'))), 10.04/2.05 inference('simplify nested equalities', [status(thm)], [zip_derived_cl7])). 10.04/2.05 thf(zip_derived_cl13, plain, 10.04/2.05 (![X2 : a, X3 : a]: (('#sk1' @ X2 @ X3) = ('#sk2' @ X2 @ X3))), 10.04/2.05 inference('arg_cong_simpl', [status(thm)], [zip_derived_cl12])). 10.04/2.05 thf(zip_derived_cl105, plain, 10.04/2.05 (( ('#sk1' @ '#sk20' @ '#sk21') | ('#form19'))), 10.04/2.05 inference('sup+', [status(thm)], [zip_derived_cl94, zip_derived_cl13])). 10.04/2.05 thf(zip_derived_cl51, plain, 10.04/2.05 (( ('#form12') 10.04/2.05 | ~ (((((!!) @ (^[Y0 : a]: 10.04/2.05 (((!!) @ (^[Y1 : a]: 10.04/2.05 ((('#sk1' @ Y0 @ Y1) => ('#sk3' @ Y0 @ 10.04/2.05 ('#_fresh_sk4' @ Y0) @ 10.04/2.05 ('#_fresh_sk5' @ Y1)))))))))) <=> 10.04/2.05 (((!!) @ (^[Y0 : a]: 10.04/2.05 (((!!) @ (^[Y1 : a]: 10.04/2.05 ((('#sk2' @ Y0 @ Y1) => ('#sk3' @ Y0 @ 10.04/2.05 ('#_fresh_sk4' @ Y0) @ 10.04/2.05 ('#_fresh_sk5' @ Y1)))))))))))))), 10.04/2.05 define([status(thm)])). 10.04/2.05 thf(zip_derived_cl52, plain, 10.04/2.05 (( (((!!) @ (^[Y0 : a]: 10.04/2.05 (((!!) @ (^[Y1 : a]: 10.04/2.05 ((('#sk1' @ Y0 @ Y1) => ('#sk3' @ Y0 @ 10.04/2.05 ('#_fresh_sk4' @ Y0) @ ('#_fresh_sk5' @ Y1)))))))))) 10.04/2.05 | (((!!) @ (^[Y0 : a]: 10.04/2.05 (((!!) @ (^[Y1 : a]: 10.04/2.05 ((('#sk2' @ Y0 @ Y1) => ('#sk3' @ Y0 @ 10.04/2.05 ('#_fresh_sk4' @ Y0) @ 10.04/2.05 ('#_fresh_sk5' @ Y1)))))))))) 10.04/2.05 | ('#form12'))), 10.04/2.05 inference('lazy_cnf_xor', [status(thm)], [zip_derived_cl51])). 10.04/2.05 thf(zip_derived_cl62, plain, 10.04/2.05 (![X2 : a]: 10.04/2.05 ( (((!!) @ (^[Y0 : a]: 10.04/2.05 ((('#sk1' @ X2 @ Y0) => ('#sk3' @ X2 @ 10.04/2.05 ('#_fresh_sk4' @ X2) @ ('#_fresh_sk5' @ Y0))))))) 10.04/2.05 | ('#form12') 10.04/2.05 | (((!!) @ (^[Y0 : a]: 10.04/2.05 (((!!) @ (^[Y1 : a]: 10.04/2.05 ((('#sk2' @ Y0 @ Y1) => ('#sk3' @ Y0 @ 10.04/2.05 ('#_fresh_sk4' @ Y0) @ 10.04/2.05 ('#_fresh_sk5' @ Y1)))))))))))), 10.04/2.05 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl52])). 10.04/2.05 thf(zip_derived_cl70, plain, 10.04/2.05 (![X2 : a, X4 : a]: 10.04/2.05 ( ((('#sk1' @ X2 @ X4) => ('#sk3' @ X2 @ ('#_fresh_sk4' @ X2) @ 10.04/2.05 ('#_fresh_sk5' @ X4)))) 10.04/2.05 | (((!!) @ (^[Y0 : a]: 10.04/2.05 (((!!) @ (^[Y1 : a]: 10.04/2.05 ((('#sk2' @ Y0 @ Y1) => ('#sk3' @ Y0 @ 10.04/2.05 ('#_fresh_sk4' @ Y0) @ 10.04/2.05 ('#_fresh_sk5' @ Y1)))))))))) 10.04/2.05 | ('#form12'))), 10.04/2.05 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl62])). 10.04/2.05 thf(zip_derived_cl79, plain, 10.04/2.05 (![X2 : a, X4 : a]: 10.04/2.05 (~ ('#sk1' @ X2 @ X4) 10.04/2.05 | ('#sk3' @ X2 @ ('#_fresh_sk4' @ X2) @ ('#_fresh_sk5' @ X4)) 10.04/2.05 | ('#form12') 10.04/2.05 | (((!!) @ (^[Y0 : a]: 10.04/2.05 (((!!) @ (^[Y1 : a]: 10.04/2.05 ((('#sk2' @ Y0 @ Y1) => ('#sk3' @ Y0 @ 10.04/2.05 ('#_fresh_sk4' @ Y0) @ 10.04/2.05 ('#_fresh_sk5' @ Y1)))))))))))), 10.04/2.05 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl70])). 10.04/2.05 thf(zip_derived_cl79, plain, 10.04/2.05 (![X2 : a, X4 : a]: 10.04/2.05 (~ ('#sk1' @ X2 @ X4) 10.04/2.05 | ('#sk3' @ X2 @ ('#_fresh_sk4' @ X2) @ ('#_fresh_sk5' @ X4)) 10.04/2.05 | ('#form12') 10.04/2.05 | (((!!) @ (^[Y0 : a]: 10.04/2.05 (((!!) @ (^[Y1 : a]: 10.04/2.05 ((('#sk2' @ Y0 @ Y1) => ('#sk3' @ Y0 @ 10.04/2.05 ('#_fresh_sk4' @ Y0) @ 10.04/2.05 ('#_fresh_sk5' @ Y1)))))))))))), 10.04/2.05 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl70])). 10.04/2.05 thf(zip_derived_cl89, plain, 10.04/2.05 ((~ ('#form19') 10.04/2.05 | (((!!) @ (^[Y0 : a]: 10.04/2.05 (((!!) @ (^[Y1 : a]: 10.04/2.05 ((('#sk2' @ Y0 @ Y1) => ('#sk3' @ Y0 @ 10.04/2.05 ('#_fresh_sk4' @ Y0) @ 10.04/2.05 ('#_fresh_sk5' @ Y1)))))))))))), 10.04/2.05 define([status(thm)])). 10.04/2.05 thf(zip_derived_cl85, plain, 10.04/2.05 (( ('#form19') 10.04/2.05 | ~ (((!!) @ (^[Y0 : a]: 10.04/2.05 (((!!) @ (^[Y1 : a]: 10.04/2.05 ((('#sk2' @ Y0 @ Y1) => ('#sk3' @ Y0 @ 10.04/2.05 ('#_fresh_sk4' @ Y0) @ 10.04/2.05 ('#_fresh_sk5' @ Y1)))))))))))), 10.04/2.05 define([status(thm)])). 10.04/2.05 thf(zip_derived_cl91, plain, 10.04/2.05 (![X2 : a, X4 : a]: 10.04/2.05 ( ('#form19') 10.04/2.05 | ('#form12') 10.04/2.05 | ('#sk3' @ X2 @ ('#_fresh_sk4' @ X2) @ ('#_fresh_sk5' @ X4)) 10.04/2.05 | ~ ('#sk1' @ X2 @ X4))), 10.04/2.05 inference('renaming', [status(thm)], 10.04/2.05 [zip_derived_cl79, zip_derived_cl89, zip_derived_cl85])). 10.04/2.05 thf(zip_derived_cl463, plain, 10.04/2.05 (( ('#form19') 10.04/2.05 | ('#sk3' @ '#sk20' @ ('#_fresh_sk4' @ '#sk20') @ 10.04/2.05 ('#_fresh_sk5' @ '#sk21')) 10.04/2.05 | ('#form12') 10.04/2.05 | ('#form19'))), 10.04/2.05 inference('sup-', [status(thm)], [zip_derived_cl105, zip_derived_cl91])). 10.04/2.05 thf(zip_derived_cl489, plain, 10.04/2.05 (( ('#form12') 10.04/2.05 | ('#sk3' @ '#sk20' @ ('#_fresh_sk4' @ '#sk20') @ 10.04/2.05 ('#_fresh_sk5' @ '#sk21')) 10.04/2.05 | ('#form19'))), 10.04/2.05 inference('simplify', [status(thm)], [zip_derived_cl463])). 10.04/2.05 thf(zip_derived_cl95, plain, 10.04/2.05 ((~ ('#sk3' @ '#sk20' @ ('#_fresh_sk4' @ '#sk20') @ 10.04/2.05 ('#_fresh_sk5' @ '#sk21')) 10.04/2.05 | ('#form19'))), 10.04/2.05 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl92])). 10.04/2.05 thf(zip_derived_cl2026, plain, (( ('#form19') | ('#form12'))), 10.04/2.05 inference('clc', [status(thm)], [zip_derived_cl489, zip_derived_cl95])). 10.04/2.05 thf(zip_derived_cl78, plain, 10.04/2.05 ((~ ('#sk3' @ '#sk14' @ ('#_fresh_sk4' @ '#sk14') @ 10.04/2.05 ('#_fresh_sk5' @ '#sk17')) 10.04/2.05 | ('#form12') 10.04/2.05 | ~ (((!!) @ (^[Y0 : a]: 10.04/2.05 (((!!) @ (^[Y1 : a]: 10.04/2.05 ((('#sk2' @ Y0 @ Y1) => ('#sk3' @ Y0 @ 10.04/2.05 ('#_fresh_sk4' @ Y0) @ 10.04/2.05 ('#_fresh_sk5' @ Y1)))))))))))), 10.04/2.05 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl69])). 10.04/2.05 thf(zip_derived_cl85, plain, 10.04/2.05 (( ('#form19') 10.04/2.05 | ~ (((!!) @ (^[Y0 : a]: 10.04/2.05 (((!!) @ (^[Y1 : a]: 10.04/2.05 ((('#sk2' @ Y0 @ Y1) => ('#sk3' @ Y0 @ 10.04/2.05 ('#_fresh_sk4' @ Y0) @ 10.04/2.05 ('#_fresh_sk5' @ Y1)))))))))))), 10.04/2.05 define([status(thm)])). 10.04/2.05 thf(zip_derived_cl88, plain, 10.04/2.05 ((~ ('#form19') 10.04/2.05 | ('#form12') 10.04/2.05 | ~ ('#sk3' @ '#sk14' @ ('#_fresh_sk4' @ '#sk14') @ 10.04/2.05 ('#_fresh_sk5' @ '#sk17')))), 10.04/2.05 inference('renaming', [status(thm)], [zip_derived_cl78, zip_derived_cl85])). 10.04/2.05 thf(zip_derived_cl89, plain, 10.04/2.05 ((~ ('#form19') 10.04/2.05 | (((!!) @ (^[Y0 : a]: 10.04/2.05 (((!!) @ (^[Y1 : a]: 10.04/2.05 ((('#sk2' @ Y0 @ Y1) => ('#sk3' @ Y0 @ 10.04/2.05 ('#_fresh_sk4' @ Y0) @ 10.04/2.05 ('#_fresh_sk5' @ Y1)))))))))))), 10.04/2.05 define([status(thm)])). 10.04/2.05 thf(zip_derived_cl90, plain, 10.04/2.05 (![X2 : a]: 10.04/2.05 ( (((!!) @ (^[Y0 : a]: 10.04/2.05 ((('#sk2' @ X2 @ Y0) => ('#sk3' @ X2 @ 10.04/2.05 ('#_fresh_sk4' @ X2) @ ('#_fresh_sk5' @ Y0))))))) 10.04/2.05 | ~ ('#form19'))), 10.04/2.05 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl89])). 10.04/2.05 thf(zip_derived_cl93, plain, 10.04/2.05 (![X2 : a, X4 : a]: 10.04/2.05 ( ((('#sk2' @ X2 @ X4) => ('#sk3' @ X2 @ ('#_fresh_sk4' @ X2) @ 10.04/2.05 ('#_fresh_sk5' @ X4)))) 10.04/2.05 | ~ ('#form19'))), 10.04/2.05 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl90])). 10.04/2.05 thf(zip_derived_cl96, plain, 10.04/2.05 (![X2 : a, X4 : a]: 10.04/2.05 (~ ('#sk2' @ X2 @ X4) 10.04/2.05 | ('#sk3' @ X2 @ ('#_fresh_sk4' @ X2) @ ('#_fresh_sk5' @ X4)) 10.04/2.05 | ~ ('#form19'))), 10.04/2.05 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl93])). 10.04/2.05 thf(zip_derived_cl538, plain, 10.04/2.05 (( ('#form12') 10.04/2.05 | ~ ('#form19') 10.04/2.05 | ~ ('#form19') 10.04/2.05 | ~ ('#sk2' @ '#sk14' @ '#sk17'))), 10.04/2.05 inference('sup+', [status(thm)], [zip_derived_cl88, zip_derived_cl96])). 10.04/2.05 thf(zip_derived_cl545, plain, 10.04/2.05 ((~ ('#sk2' @ '#sk14' @ '#sk17') | ~ ('#form19') | ('#form12'))), 10.04/2.05 inference('simplify', [status(thm)], [zip_derived_cl538])). 10.04/2.05 thf(zip_derived_cl13, plain, 10.04/2.05 (![X2 : a, X3 : a]: (('#sk1' @ X2 @ X3) = ('#sk2' @ X2 @ X3))), 10.04/2.05 inference('arg_cong_simpl', [status(thm)], [zip_derived_cl12])). 10.04/2.05 thf(zip_derived_cl549, plain, 10.04/2.05 ((~ ('#sk1' @ '#sk14' @ '#sk17') | ('#form12') | ~ ('#form19'))), 10.04/2.05 inference('sup+', [status(thm)], [zip_derived_cl545, zip_derived_cl13])). 10.04/2.05 thf(zip_derived_cl77, plain, 10.04/2.05 (( ('#sk1' @ '#sk14' @ '#sk17') 10.04/2.05 | ('#form12') 10.04/2.05 | ~ (((!!) @ (^[Y0 : a]: 10.04/2.05 (((!!) @ (^[Y1 : a]: 10.04/2.05 ((('#sk2' @ Y0 @ Y1) => ('#sk3' @ Y0 @ 10.04/2.05 ('#_fresh_sk4' @ Y0) @ 10.04/2.05 ('#_fresh_sk5' @ Y1)))))))))))), 10.04/2.05 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl69])). 10.04/2.05 thf(zip_derived_cl85, plain, 10.04/2.05 (( ('#form19') 10.04/2.05 | ~ (((!!) @ (^[Y0 : a]: 10.04/2.05 (((!!) @ (^[Y1 : a]: 10.04/2.05 ((('#sk2' @ Y0 @ Y1) => ('#sk3' @ Y0 @ 10.04/2.05 ('#_fresh_sk4' @ Y0) @ 10.04/2.05 ('#_fresh_sk5' @ Y1)))))))))))), 10.04/2.05 define([status(thm)])). 10.04/2.05 thf(zip_derived_cl87, plain, 10.04/2.05 ((~ ('#form19') | ('#form12') | ('#sk1' @ '#sk14' @ '#sk17'))), 10.04/2.05 inference('renaming', [status(thm)], [zip_derived_cl77, zip_derived_cl85])). 10.04/2.05 thf(zip_derived_cl553, plain, ((~ ('#form19') | ('#form12'))), 10.04/2.05 inference('clc', [status(thm)], [zip_derived_cl549, zip_derived_cl87])). 10.04/2.05 thf(zip_derived_cl2027, plain, ( ('#form12')), 10.04/2.05 inference('clc', [status(thm)], [zip_derived_cl2026, zip_derived_cl553])). 10.04/2.05 thf(zip_derived_cl42, plain, 10.04/2.05 (( ('#form9') 10.04/2.05 | ~ (((!!) @ (^[Y0 : a > b]: 10.04/2.05 (((!!) @ (^[Y1 : a > b]: 10.04/2.05 (((((!!) @ (^[Y2 : a]: 10.04/2.05 (((!!) @ (^[Y3 : a]: 10.04/2.05 ((('#sk1' @ Y2 @ 10.04/2.05 Y3) => 10.04/2.05 ('#sk3' @ Y2 @ 10.04/2.05 (Y0 @ Y2) @ 10.04/2.05 (Y1 @ Y3)))))))))) => 10.04/2.05 (((!!) @ (^[Y2 : a]: 10.04/2.05 (((!!) @ (^[Y3 : a]: 10.04/2.05 ((('#sk1' @ Y2 @ 10.04/2.05 Y3) => 10.04/2.05 ('#sk3' @ Y2 @ 10.04/2.05 (Y1 @ Y2) @ 10.04/2.05 (Y0 @ Y3)))))))))))))))))))), 10.04/2.05 define([status(thm)])). 10.04/2.05 thf(zip_derived_cl43, plain, 10.04/2.05 ((~ (((!!) @ (^[Y0 : a > b]: 10.04/2.05 (((((!!) @ (^[Y1 : a]: 10.04/2.05 (((!!) @ (^[Y2 : a]: 10.04/2.05 ((('#sk1' @ Y1 @ Y2) => 10.04/2.05 ('#sk3' @ Y1 @ 10.04/2.05 ('#sk10' @ Y1) @ (Y0 @ Y2)))))))))) => 10.04/2.05 (((!!) @ (^[Y1 : a]: 10.04/2.05 (((!!) @ (^[Y2 : a]: 10.04/2.05 ((('#sk1' @ Y1 @ Y2) => 10.04/2.05 ('#sk3' @ Y1 @ (Y0 @ Y1) @ 10.04/2.05 ('#sk10' @ Y2))))))))))))))) 10.04/2.05 | ('#form9'))), 10.04/2.05 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl42])). 10.04/2.05 thf(zip_derived_cl50, plain, 10.04/2.05 ((~ (((((!!) @ (^[Y0 : a]: 10.04/2.05 (((!!) @ (^[Y1 : a]: 10.04/2.05 ((('#sk1' @ Y0 @ Y1) => ('#sk3' @ Y0 @ 10.04/2.05 ('#sk10' @ Y0) @ ('#sk11' @ Y1)))))))))) => 10.04/2.05 (((!!) @ (^[Y0 : a]: 10.04/2.05 (((!!) @ (^[Y1 : a]: 10.04/2.05 ((('#sk1' @ Y0 @ Y1) => ('#sk3' @ Y0 @ 10.04/2.05 ('#sk11' @ Y0) @ ('#sk10' @ Y1)))))))))))) 10.04/2.05 | ('#form9'))), 10.04/2.05 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl43])). 10.04/2.05 thf(zip_derived_cl59, plain, 10.04/2.05 ((~ (((!!) @ (^[Y0 : a]: 10.04/2.05 (((!!) @ (^[Y1 : a]: 10.04/2.05 ((('#sk1' @ Y0 @ Y1) => ('#sk3' @ Y0 @ 10.04/2.05 ('#sk11' @ Y0) @ ('#sk10' @ Y1)))))))))) 10.04/2.05 | ('#form9'))), 10.04/2.05 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl50])). 10.04/2.05 thf(zip_derived_cl67, plain, 10.04/2.05 ((~ (((!!) @ (^[Y0 : a]: 10.04/2.05 ((('#sk1' @ '#sk15' @ Y0) => ('#sk3' @ '#sk15' @ 10.04/2.05 ('#sk11' @ '#sk15') @ ('#sk10' @ Y0))))))) 10.04/2.05 | ('#form9'))), 10.04/2.05 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl59])). 10.04/2.05 thf(zip_derived_cl74, plain, 10.04/2.05 ((~ ((('#sk1' @ '#sk15' @ '#sk18') => ('#sk3' @ '#sk15' @ 10.04/2.05 ('#sk11' @ '#sk15') @ ('#sk10' @ '#sk18')))) 10.04/2.05 | ('#form9'))), 10.04/2.05 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl67])). 10.04/2.05 thf(zip_derived_cl83, plain, (( ('#sk1' @ '#sk15' @ '#sk18') | ('#form9'))), 10.04/2.05 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl74])). 10.04/2.05 thf(zip_derived_cl83, plain, (( ('#sk1' @ '#sk15' @ '#sk18') | ('#form9'))), 10.04/2.05 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl74])). 10.04/2.05 thf(zip_derived_cl8, plain, 10.04/2.05 ( (((!!) @ (^[Y0 : a]: 10.04/2.05 (((!!) @ (^[Y1 : a]: 10.04/2.05 ((('#sk1' @ Y0 @ Y1) => ('#sk1' @ Y1 @ Y0)))))))))), 10.04/2.05 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl4])). 10.04/2.05 thf(zip_derived_cl14, plain, 10.04/2.05 (![X2 : a]: 10.04/2.05 (((!!) @ (^[Y0 : a]: ((('#sk1' @ X2 @ Y0) => ('#sk1' @ Y0 @ X2))))))), 10.04/2.05 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl8])). 10.04/2.05 thf(zip_derived_cl18, plain, 10.04/2.05 (![X2 : a, X4 : a]: ((('#sk1' @ X2 @ X4) => ('#sk1' @ X4 @ X2)))), 10.04/2.05 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl14])). 10.04/2.05 thf(zip_derived_cl25, plain, 10.04/2.05 (![X2 : a, X4 : a]: (~ ('#sk1' @ X2 @ X4) | ('#sk1' @ X4 @ X2))), 10.04/2.05 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl18])). 10.04/2.05 thf(zip_derived_cl109, plain, 10.04/2.05 (( ('#form9') | ('#sk1' @ '#sk18' @ '#sk15'))), 10.04/2.05 inference('sup-', [status(thm)], [zip_derived_cl83, zip_derived_cl25])). 10.04/2.05 thf(zip_derived_cl6, plain, 10.04/2.05 ( (((!!) @ (^[Y0 : a]: 10.04/2.05 (((!!) @ (^[Y1 : a]: 10.04/2.05 (((!!) @ (^[Y2 : a]: 10.04/2.05 ((((('#sk1' @ Y0 @ Y1) & ('#sk1' @ 10.04/2.05 Y1 @ Y2))) => 10.04/2.05 ('#sk1' @ Y0 @ Y2))))))))))))), 10.04/2.05 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl4])). 10.04/2.05 thf(zip_derived_cl11, plain, 10.04/2.05 (![X2 : a]: 10.04/2.05 (((!!) @ (^[Y0 : a]: 10.04/2.05 (((!!) @ (^[Y1 : a]: 10.04/2.05 ((((('#sk1' @ X2 @ Y0) & ('#sk1' @ Y0 @ Y1))) => 10.04/2.05 ('#sk1' @ X2 @ Y1)))))))))), 10.04/2.05 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl6])). 10.04/2.05 thf(zip_derived_cl17, plain, 10.04/2.05 (![X2 : a, X4 : a]: 10.04/2.05 (((!!) @ (^[Y0 : a]: 10.04/2.05 ((((('#sk1' @ X2 @ X4) & ('#sk1' @ X4 @ Y0))) => 10.04/2.05 ('#sk1' @ X2 @ Y0))))))), 10.04/2.05 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl11])). 10.04/2.05 thf(zip_derived_cl24, plain, 10.04/2.05 (![X2 : a, X4 : a, X6 : a]: 10.04/2.05 ((((('#sk1' @ X2 @ X4) & ('#sk1' @ X4 @ X6))) => ('#sk1' @ X2 @ X6)))), 10.04/2.05 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl17])). 10.04/2.05 thf(zip_derived_cl28, plain, 10.04/2.05 (![X2 : a, X4 : a, X6 : a]: 10.04/2.05 (~ ((('#sk1' @ X2 @ X4) & ('#sk1' @ X4 @ X6))) | ('#sk1' @ X2 @ X6))), 10.04/2.05 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl24])). 10.04/2.05 thf(zip_derived_cl33, plain, 10.04/2.05 (![X2 : a, X4 : a, X6 : a]: 10.04/2.05 (~ ('#sk1' @ X2 @ X4) | ~ ('#sk1' @ X4 @ X6) | ('#sk1' @ X2 @ X6))), 10.04/2.05 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl28])). 10.04/2.05 thf(zip_derived_cl155, plain, 10.04/2.05 (![X0 : a]: 10.04/2.05 ( ('#form9') | ('#sk1' @ '#sk18' @ X0) | ~ ('#sk1' @ '#sk15' @ X0))), 10.04/2.05 inference('sup-', [status(thm)], [zip_derived_cl109, zip_derived_cl33])). 10.04/2.05 thf(zip_derived_cl291, plain, 10.04/2.05 (( ('#form9') | ('#sk1' @ '#sk18' @ '#sk18') | ('#form9'))), 10.04/2.05 inference('sup-', [status(thm)], [zip_derived_cl83, zip_derived_cl155])). 10.04/2.05 thf(zip_derived_cl297, plain, 10.04/2.05 (( ('#sk1' @ '#sk18' @ '#sk18') | ('#form9'))), 10.04/2.05 inference('simplify', [status(thm)], [zip_derived_cl291])). 10.04/2.05 thf(zip_derived_cl109, plain, 10.04/2.05 (( ('#form9') | ('#sk1' @ '#sk18' @ '#sk15'))), 10.04/2.05 inference('sup-', [status(thm)], [zip_derived_cl83, zip_derived_cl25])). 10.04/2.05 thf(zip_derived_cl58, plain, 10.04/2.05 (( (((!!) @ (^[Y0 : a]: 10.04/2.05 (((!!) @ (^[Y1 : a]: 10.04/2.05 ((('#sk1' @ Y0 @ Y1) => ('#sk3' @ Y0 @ 10.04/2.05 ('#sk10' @ Y0) @ ('#sk11' @ Y1)))))))))) 10.04/2.05 | ('#form9'))), 10.04/2.05 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl50])). 10.04/2.05 thf(zip_derived_cl66, plain, 10.04/2.05 (![X2 : a]: 10.04/2.05 ( (((!!) @ (^[Y0 : a]: 10.04/2.05 ((('#sk1' @ X2 @ Y0) => ('#sk3' @ X2 @ ('#sk10' @ X2) @ 10.04/2.05 ('#sk11' @ Y0))))))) 10.04/2.05 | ('#form9'))), 10.04/2.05 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl58])). 10.04/2.05 thf(zip_derived_cl73, plain, 10.04/2.05 (![X2 : a, X4 : a]: 10.04/2.05 ( ((('#sk1' @ X2 @ X4) => ('#sk3' @ X2 @ ('#sk10' @ X2) @ 10.04/2.05 ('#sk11' @ X4)))) 10.04/2.05 | ('#form9'))), 10.04/2.05 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl66])). 10.04/2.05 thf(zip_derived_cl82, plain, 10.04/2.05 (![X2 : a, X4 : a]: 10.04/2.05 (~ ('#sk1' @ X2 @ X4) 10.04/2.05 | ('#sk3' @ X2 @ ('#sk10' @ X2) @ ('#sk11' @ X4)) 10.04/2.05 | ('#form9'))), 10.04/2.05 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl73])). 10.04/2.05 thf(zip_derived_cl361, plain, 10.04/2.05 (( ('#form9') 10.04/2.05 | ('#form9') 10.04/2.05 | ('#sk3' @ '#sk18' @ ('#sk10' @ '#sk18') @ ('#sk11' @ '#sk15')))), 10.04/2.05 inference('sup-', [status(thm)], [zip_derived_cl109, zip_derived_cl82])). 10.04/2.05 thf(zip_derived_cl378, plain, 10.04/2.05 (( ('#sk3' @ '#sk18' @ ('#sk10' @ '#sk18') @ ('#sk11' @ '#sk15')) 10.04/2.05 | ('#form9'))), 10.04/2.05 inference('simplify', [status(thm)], [zip_derived_cl361])). 10.04/2.05 thf(zip_derived_cl31, plain, 10.04/2.05 (![X2 : a, X4 : a]: 10.04/2.05 ( (((!!) @ (^[Y0 : b]: 10.04/2.05 (((!!) @ (^[Y1 : b]: 10.04/2.05 ((('#sk3' @ X2 @ Y0 @ Y1) => ('#sk3' @ X2 @ 10.04/2.05 Y1 @ Y0))))))))) 10.04/2.05 | ~ ('#sk1' @ X2 @ X4))), 10.04/2.05 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl26])). 10.04/2.05 thf(zip_derived_cl37, plain, 10.04/2.05 (![X2 : a, X4 : a, X6 : b]: 10.04/2.05 ( (((!!) @ (^[Y0 : b]: 10.04/2.05 ((('#sk3' @ X2 @ X6 @ Y0) => ('#sk3' @ X2 @ Y0 @ X6)))))) 10.04/2.05 | ~ ('#sk1' @ X2 @ X4))), 10.04/2.05 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl31])). 10.04/2.05 thf(zip_derived_cl41, plain, 10.04/2.05 (![X2 : a, X4 : a, X6 : b, X8 : b]: 10.04/2.05 ( ((('#sk3' @ X2 @ X6 @ X8) => ('#sk3' @ X2 @ X8 @ X6))) 10.04/2.05 | ~ ('#sk1' @ X2 @ X4))), 10.04/2.05 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl37])). 10.04/2.05 thf(zip_derived_cl47, plain, 10.04/2.05 (![X2 : a, X4 : a, X6 : b, X8 : b]: 10.04/2.05 (~ ('#sk3' @ X2 @ X6 @ X8) 10.04/2.05 | ('#sk3' @ X2 @ X8 @ X6) 10.04/2.05 | ~ ('#sk1' @ X2 @ X4))), 10.04/2.05 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl41])). 10.04/2.05 thf(zip_derived_cl986, plain, 10.04/2.05 (![X0 : a]: 10.04/2.05 ( ('#form9') 10.04/2.05 | ~ ('#sk1' @ '#sk18' @ X0) 10.04/2.05 | ('#sk3' @ '#sk18' @ ('#sk11' @ '#sk15') @ ('#sk10' @ '#sk18')))), 10.04/2.05 inference('sup-', [status(thm)], [zip_derived_cl378, zip_derived_cl47])). 10.04/2.05 thf(zip_derived_cl84, plain, 10.04/2.05 ((~ ('#sk3' @ '#sk15' @ ('#sk11' @ '#sk15') @ ('#sk10' @ '#sk18')) 10.04/2.05 | ('#form9'))), 10.04/2.05 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl74])). 10.04/2.05 thf(zip_derived_cl109, plain, 10.04/2.05 (( ('#form9') | ('#sk1' @ '#sk18' @ '#sk15'))), 10.04/2.05 inference('sup-', [status(thm)], [zip_derived_cl83, zip_derived_cl25])). 10.04/2.05 thf(zip_derived_cl36, plain, 10.04/2.05 (![X2 : a, X4 : a, X6 : b, X7 : b]: 10.04/2.05 ((('#sk3' @ X2 @ X6 @ X7) = ('#sk3' @ X4 @ X6 @ X7)) 10.04/2.05 | ~ ('#sk1' @ X2 @ X4))), 10.04/2.05 inference('arg_cong_simpl', [status(thm)], [zip_derived_cl35])). 10.04/2.05 thf(zip_derived_cl179, plain, 10.04/2.05 (![X0 : b, X1 : b]: 10.04/2.05 ( ('#form9') 10.04/2.05 | (('#sk3' @ '#sk18' @ X1 @ X0) = ('#sk3' @ '#sk15' @ X1 @ X0)))), 10.04/2.05 inference('sup-', [status(thm)], [zip_derived_cl109, zip_derived_cl36])). 10.04/2.05 thf(zip_derived_cl625, plain, 10.04/2.05 ((~ ('#sk3' @ '#sk18' @ ('#sk11' @ '#sk15') @ ('#sk10' @ '#sk18')) 10.04/2.05 | ('#form9') 10.04/2.05 | ('#form9'))), 10.04/2.05 inference('sup+', [status(thm)], [zip_derived_cl84, zip_derived_cl179])). 10.04/2.05 thf(zip_derived_cl648, plain, 10.04/2.05 (( ('#form9') 10.04/2.05 | ~ ('#sk3' @ '#sk18' @ ('#sk11' @ '#sk15') @ ('#sk10' @ '#sk18')))), 10.04/2.05 inference('simplify', [status(thm)], [zip_derived_cl625])). 10.04/2.05 thf(zip_derived_cl1779, plain, 10.04/2.05 (![X0 : a]: (~ ('#sk1' @ '#sk18' @ X0) | ('#form9'))), 10.04/2.05 inference('clc', [status(thm)], [zip_derived_cl986, zip_derived_cl648])). 10.04/2.05 thf(zip_derived_cl1783, plain, (( ('#form9') | ('#form9'))), 10.04/2.05 inference('sup-', [status(thm)], [zip_derived_cl297, zip_derived_cl1779])). 10.04/2.05 thf(zip_derived_cl1792, plain, ( ('#form9')), 10.04/2.05 inference('simplify', [status(thm)], [zip_derived_cl1783])). 10.04/2.05 thf(zip_derived_cl3454, plain, 10.04/2.05 (![X0 : a]: 10.04/2.05 (~ ('#sk1' @ '#sk13' @ X0) 10.04/2.05 | ('#sk3' @ '#sk16' @ ('#sk6' @ '#sk13') @ ('#sk7' @ X0)))), 10.04/2.05 inference('demod', [status(thm)], 10.04/2.05 [zip_derived_cl694, zip_derived_cl2027, zip_derived_cl1792])). 10.04/2.05 thf(zip_derived_cl48, plain, 10.04/2.05 (( (((!!) @ (^[Y0 : a]: 10.04/2.05 (((!!) @ (^[Y1 : a]: 10.04/2.05 ((('#sk1' @ Y0 @ Y1) => ('#sk3' @ Y0 @ 10.04/2.05 ('#sk7' @ Y0) @ ('#sk8' @ Y1)))))))))) 10.04/2.05 | ((((!!) @ (^[Y0 : a]: 10.04/2.05 (((!!) @ (^[Y1 : a]: 10.04/2.05 ((('#sk1' @ Y0 @ Y1) => ('#sk3' @ Y0 @ 10.04/2.05 ('#_fresh_sk4' @ Y0) @ 10.04/2.05 ('#_fresh_sk5' @ Y1)))))))))) 10.04/2.05 != (((!!) @ (^[Y0 : a]: 10.04/2.05 (((!!) @ (^[Y1 : a]: 10.04/2.05 ((('#sk2' @ Y0 @ Y1) => ('#sk3' @ Y0 @ 10.04/2.05 ('#_fresh_sk4' @ Y0) @ 10.04/2.05 ('#_fresh_sk5' @ Y1))))))))))) 10.04/2.05 | ~ ('#form9'))), 10.04/2.05 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl44])). 10.04/2.05 thf(zip_derived_cl51, plain, 10.04/2.05 (( ('#form12') 10.04/2.05 | ~ (((((!!) @ (^[Y0 : a]: 10.04/2.05 (((!!) @ (^[Y1 : a]: 10.04/2.05 ((('#sk1' @ Y0 @ Y1) => ('#sk3' @ Y0 @ 10.04/2.05 ('#_fresh_sk4' @ Y0) @ 10.04/2.05 ('#_fresh_sk5' @ Y1)))))))))) <=> 10.04/2.05 (((!!) @ (^[Y0 : a]: 10.04/2.05 (((!!) @ (^[Y1 : a]: 10.04/2.05 ((('#sk2' @ Y0 @ Y1) => ('#sk3' @ Y0 @ 10.04/2.05 ('#_fresh_sk4' @ Y0) @ 10.04/2.05 ('#_fresh_sk5' @ Y1)))))))))))))), 10.04/2.05 define([status(thm)])). 10.04/2.05 thf(zip_derived_cl56, plain, 10.04/2.05 ((~ ('#form12') 10.04/2.05 | ~ ('#form9') 10.04/2.05 | (((!!) @ (^[Y0 : a]: 10.04/2.05 (((!!) @ (^[Y1 : a]: 10.04/2.05 ((('#sk1' @ Y0 @ Y1) => ('#sk3' @ Y0 @ 10.04/2.05 ('#sk7' @ Y0) @ ('#sk8' @ Y1)))))))))))), 10.04/2.05 inference('renaming', [status(thm)], [zip_derived_cl48, zip_derived_cl51])). 10.04/2.05 thf(zip_derived_cl64, plain, 10.04/2.05 (![X2 : a]: 10.04/2.05 ( (((!!) @ (^[Y0 : a]: 10.04/2.05 ((('#sk1' @ X2 @ Y0) => ('#sk3' @ X2 @ ('#sk7' @ X2) @ 10.04/2.05 ('#sk8' @ Y0))))))) 10.04/2.05 | ~ ('#form9') 10.04/2.05 | ~ ('#form12'))), 10.04/2.05 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl56])). 10.04/2.05 thf(zip_derived_cl71, plain, 10.04/2.05 (![X2 : a, X4 : a]: 10.04/2.05 ( ((('#sk1' @ X2 @ X4) => ('#sk3' @ X2 @ ('#sk7' @ X2) @ 10.04/2.05 ('#sk8' @ X4)))) 10.04/2.05 | ~ ('#form12') 10.04/2.05 | ~ ('#form9'))), 10.04/2.05 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl64])). 10.04/2.05 thf(zip_derived_cl80, plain, 10.04/2.05 (![X2 : a, X4 : a]: 10.04/2.05 (~ ('#sk1' @ X2 @ X4) 10.04/2.05 | ('#sk3' @ X2 @ ('#sk7' @ X2) @ ('#sk8' @ X4)) 10.04/2.05 | ~ ('#form9') 10.04/2.05 | ~ ('#form12'))), 10.04/2.05 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl71])). 10.04/2.05 thf(zip_derived_cl29, plain, 10.04/2.05 (![X2 : a, X4 : a]: 10.04/2.05 ( (((!!) @ (^[Y0 : b]: 10.04/2.05 (((!!) @ (^[Y1 : b]: 10.04/2.05 (((!!) @ (^[Y2 : b]: 10.04/2.05 ((((('#sk3' @ X2 @ Y1 @ Y2) & 10.04/2.05 ('#sk3' @ X2 @ Y0 @ Y1))) => 10.04/2.05 ('#sk3' @ X2 @ Y0 @ Y2)))))))))))) 10.04/2.05 | ~ ('#sk1' @ X2 @ X4))), 10.04/2.05 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl26])). 10.04/2.05 thf(zip_derived_cl34, plain, 10.04/2.05 (![X2 : a, X4 : a, X6 : b]: 10.04/2.05 ( (((!!) @ (^[Y0 : b]: 10.04/2.05 (((!!) @ (^[Y1 : b]: 10.04/2.05 ((((('#sk3' @ X2 @ Y0 @ Y1) & ('#sk3' @ 10.04/2.05 X2 @ X6 @ Y0))) => 10.04/2.05 ('#sk3' @ X2 @ X6 @ Y1))))))))) 10.04/2.05 | ~ ('#sk1' @ X2 @ X4))), 10.04/2.05 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl29])). 10.04/2.05 thf(zip_derived_cl40, plain, 10.04/2.05 (![X2 : a, X4 : a, X6 : b, X8 : b]: 10.04/2.05 ( (((!!) @ (^[Y0 : b]: 10.04/2.05 ((((('#sk3' @ X2 @ X8 @ Y0) & ('#sk3' @ X2 @ X6 @ X8))) => 10.04/2.05 ('#sk3' @ X2 @ X6 @ Y0)))))) 10.04/2.05 | ~ ('#sk1' @ X2 @ X4))), 10.04/2.05 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl34])). 10.04/2.05 thf(zip_derived_cl46, plain, 10.04/2.05 (![X2 : a, X4 : a, X6 : b, X8 : b, X10 : b]: 10.04/2.05 ( ((((('#sk3' @ X2 @ X8 @ X10) & ('#sk3' @ X2 @ X6 @ X8))) => 10.04/2.05 ('#sk3' @ X2 @ X6 @ X10))) 10.04/2.05 | ~ ('#sk1' @ X2 @ X4))), 10.04/2.05 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl40])). 10.04/2.05 thf(zip_derived_cl55, plain, 10.04/2.05 (![X2 : a, X4 : a, X6 : b, X8 : b, X10 : b]: 10.04/2.05 (~ ((('#sk3' @ X2 @ X8 @ X10) & ('#sk3' @ X2 @ X6 @ X8))) 10.04/2.05 | ('#sk3' @ X2 @ X6 @ X10) 10.04/2.05 | ~ ('#sk1' @ X2 @ X4))), 10.04/2.05 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl46])). 10.04/2.05 thf(zip_derived_cl63, plain, 10.04/2.05 (![X2 : a, X4 : a, X6 : b, X8 : b, X10 : b]: 10.04/2.05 (~ ('#sk3' @ X2 @ X8 @ X10) 10.04/2.05 | ~ ('#sk3' @ X2 @ X6 @ X8) 10.04/2.05 | ~ ('#sk1' @ X2 @ X4) 10.04/2.05 | ('#sk3' @ X2 @ X6 @ X10))), 10.04/2.05 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl55])). 10.04/2.05 thf(zip_derived_cl267, plain, 10.04/2.05 (![X0 : a, X1 : a, X2 : b, X3 : a]: 10.04/2.05 (~ ('#form12') 10.04/2.05 | ~ ('#form9') 10.04/2.05 | ~ ('#sk1' @ X1 @ X0) 10.04/2.05 | ('#sk3' @ X1 @ X2 @ ('#sk8' @ X0)) 10.04/2.05 | ~ ('#sk1' @ X1 @ X3) 10.04/2.05 | ~ ('#sk3' @ X1 @ X2 @ ('#sk7' @ X1)))), 10.04/2.05 inference('sup-', [status(thm)], [zip_derived_cl80, zip_derived_cl63])). 10.04/2.05 thf(zip_derived_cl1136, plain, 10.04/2.05 (![X0 : a, X1 : b, X2 : a]: 10.04/2.05 (~ ('#form12') 10.04/2.05 | ~ ('#form9') 10.04/2.05 | ~ ('#sk3' @ X0 @ X1 @ ('#sk7' @ X0)) 10.04/2.05 | ('#sk3' @ X0 @ X1 @ ('#sk8' @ X2)) 10.04/2.05 | ~ ('#sk1' @ X0 @ X2))), 10.04/2.05 inference('condensation', [status(thm)], [zip_derived_cl267])). 10.04/2.05 thf(zip_derived_cl1792, plain, ( ('#form9')), 10.04/2.05 inference('simplify', [status(thm)], [zip_derived_cl1783])). 10.04/2.05 thf(zip_derived_cl1829, plain, 10.04/2.05 (![X0 : a, X1 : b, X2 : a]: 10.04/2.05 (~ ('#form12') 10.04/2.05 | ~ ('#sk3' @ X0 @ X1 @ ('#sk7' @ X0)) 10.04/2.05 | ('#sk3' @ X0 @ X1 @ ('#sk8' @ X2)) 10.04/2.05 | ~ ('#sk1' @ X0 @ X2))), 10.04/2.05 inference('demod', [status(thm)], 10.04/2.05 [zip_derived_cl1136, zip_derived_cl1792])). 10.04/2.05 thf(zip_derived_cl2027, plain, ( ('#form12')), 10.04/2.05 inference('clc', [status(thm)], [zip_derived_cl2026, zip_derived_cl553])). 10.04/2.05 thf(zip_derived_cl4007, plain, 10.04/2.05 (![X0 : a, X1 : b, X2 : a]: 10.04/2.05 (~ ('#sk3' @ X0 @ X1 @ ('#sk7' @ X0)) 10.04/2.05 | ('#sk3' @ X0 @ X1 @ ('#sk8' @ X2)) 10.04/2.05 | ~ ('#sk1' @ X0 @ X2))), 10.04/2.05 inference('demod', [status(thm)], 10.04/2.05 [zip_derived_cl1829, zip_derived_cl2027])). 10.04/2.05 thf(zip_derived_cl4011, plain, 10.04/2.05 (![X0 : a]: 10.04/2.05 (~ ('#sk1' @ '#sk13' @ '#sk16') 10.04/2.05 | ~ ('#sk1' @ '#sk16' @ X0) 10.04/2.05 | ('#sk3' @ '#sk16' @ ('#sk6' @ '#sk13') @ ('#sk8' @ X0)))), 10.04/2.05 inference('sup-', [status(thm)], [zip_derived_cl3454, zip_derived_cl4007])). 10.04/2.05 thf(zip_derived_cl75, plain, 10.04/2.05 (( ('#sk1' @ '#sk13' @ '#sk16') | ~ ('#form9') | ~ ('#form12'))), 10.04/2.05 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl68])). 10.04/2.05 thf(zip_derived_cl1792, plain, ( ('#form9')), 10.04/2.05 inference('simplify', [status(thm)], [zip_derived_cl1783])). 10.04/2.05 thf(zip_derived_cl1800, plain, 10.04/2.05 (( ('#sk1' @ '#sk13' @ '#sk16') | ~ ('#form12'))), 10.04/2.05 inference('demod', [status(thm)], [zip_derived_cl75, zip_derived_cl1792])). 10.04/2.05 thf(zip_derived_cl2027, plain, ( ('#form12')), 10.04/2.05 inference('clc', [status(thm)], [zip_derived_cl2026, zip_derived_cl553])). 10.04/2.05 thf(zip_derived_cl2028, plain, ( ('#sk1' @ '#sk13' @ '#sk16')), 10.04/2.05 inference('demod', [status(thm)], 10.04/2.05 [zip_derived_cl1800, zip_derived_cl2027])). 10.04/2.05 thf(zip_derived_cl4025, plain, 10.04/2.05 (![X0 : a]: 10.04/2.05 (~ ('#sk1' @ '#sk16' @ X0) 10.04/2.05 | ('#sk3' @ '#sk16' @ ('#sk6' @ '#sk13') @ ('#sk8' @ X0)))), 10.04/2.05 inference('demod', [status(thm)], 10.04/2.05 [zip_derived_cl4011, zip_derived_cl2028])). 10.04/2.05 thf(zip_derived_cl181, plain, 10.04/2.05 (![X0 : b, X1 : b]: 10.04/2.05 (~ ('#form12') 10.04/2.05 | ~ ('#form9') 10.04/2.05 | (('#sk3' @ '#sk13' @ X1 @ X0) = ('#sk3' @ '#sk16' @ X1 @ X0)))), 10.04/2.05 inference('sup-', [status(thm)], [zip_derived_cl75, zip_derived_cl36])). 10.04/2.05 thf(zip_derived_cl76, plain, 10.04/2.05 ((~ ('#sk3' @ '#sk13' @ ('#sk6' @ '#sk13') @ ('#sk8' @ '#sk16')) 10.04/2.05 | ~ ('#form9') 10.04/2.05 | ~ ('#form12'))), 10.04/2.05 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl68])). 10.04/2.05 thf(zip_derived_cl664, plain, 10.04/2.05 ((~ ('#sk3' @ '#sk16' @ ('#sk6' @ '#sk13') @ ('#sk8' @ '#sk16')) 10.04/2.05 | ~ ('#form9') 10.04/2.05 | ~ ('#form12') 10.04/2.05 | ~ ('#form12') 10.04/2.05 | ~ ('#form9'))), 10.04/2.05 inference('sup-', [status(thm)], [zip_derived_cl181, zip_derived_cl76])). 10.04/2.05 thf(zip_derived_cl692, plain, 10.04/2.05 ((~ ('#form12') 10.04/2.05 | ~ ('#form9') 10.04/2.05 | ~ ('#sk3' @ '#sk16' @ ('#sk6' @ '#sk13') @ ('#sk8' @ '#sk16')))), 10.04/2.05 inference('simplify', [status(thm)], [zip_derived_cl664])). 10.04/2.05 thf(zip_derived_cl1792, plain, ( ('#form9')), 10.04/2.05 inference('simplify', [status(thm)], [zip_derived_cl1783])). 10.04/2.05 thf(zip_derived_cl1820, plain, 10.04/2.05 ((~ ('#form12') 10.04/2.05 | ~ ('#sk3' @ '#sk16' @ ('#sk6' @ '#sk13') @ ('#sk8' @ '#sk16')))), 10.04/2.05 inference('demod', [status(thm)], [zip_derived_cl692, zip_derived_cl1792])). 10.04/2.05 thf(zip_derived_cl2027, plain, ( ('#form12')), 10.04/2.05 inference('clc', [status(thm)], [zip_derived_cl2026, zip_derived_cl553])). 10.04/2.05 thf(zip_derived_cl2043, plain, 10.04/2.05 (~ ('#sk3' @ '#sk16' @ ('#sk6' @ '#sk13') @ ('#sk8' @ '#sk16'))), 10.04/2.05 inference('demod', [status(thm)], 10.04/2.05 [zip_derived_cl1820, zip_derived_cl2027])). 10.04/2.05 thf(zip_derived_cl4073, plain, (~ ('#sk1' @ '#sk16' @ '#sk16')), 10.04/2.05 inference('sup-', [status(thm)], [zip_derived_cl4025, zip_derived_cl2043])). 10.04/2.05 thf(zip_derived_cl75, plain, 10.04/2.05 (( ('#sk1' @ '#sk13' @ '#sk16') | ~ ('#form9') | ~ ('#form12'))), 10.04/2.05 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl68])). 10.04/2.05 thf(zip_derived_cl75, plain, 10.04/2.05 (( ('#sk1' @ '#sk13' @ '#sk16') | ~ ('#form9') | ~ ('#form12'))), 10.04/2.05 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl68])). 10.04/2.05 thf(zip_derived_cl25, plain, 10.04/2.05 (![X2 : a, X4 : a]: (~ ('#sk1' @ X2 @ X4) | ('#sk1' @ X4 @ X2))), 10.04/2.05 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl18])). 10.04/2.05 thf(zip_derived_cl131, plain, 10.04/2.05 ((~ ('#form12') | ~ ('#form9') | ('#sk1' @ '#sk16' @ '#sk13'))), 10.04/2.05 inference('sup-', [status(thm)], [zip_derived_cl75, zip_derived_cl25])). 10.04/2.05 thf(zip_derived_cl33, plain, 10.04/2.05 (![X2 : a, X4 : a, X6 : a]: 10.04/2.05 (~ ('#sk1' @ X2 @ X4) | ~ ('#sk1' @ X4 @ X6) | ('#sk1' @ X2 @ X6))), 10.04/2.05 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl28])). 10.04/2.05 thf(zip_derived_cl201, plain, 10.04/2.05 (![X0 : a]: 10.04/2.05 (~ ('#form9') 10.04/2.05 | ~ ('#form12') 10.04/2.05 | ('#sk1' @ '#sk16' @ X0) 10.04/2.05 | ~ ('#sk1' @ '#sk13' @ X0))), 10.04/2.05 inference('sup-', [status(thm)], [zip_derived_cl131, zip_derived_cl33])). 10.04/2.05 thf(zip_derived_cl239, plain, 10.04/2.05 ((~ ('#form12') 10.04/2.05 | ~ ('#form9') 10.04/2.05 | ('#sk1' @ '#sk16' @ '#sk16') 10.04/2.05 | ~ ('#form12') 10.04/2.05 | ~ ('#form9'))), 10.04/2.05 inference('sup-', [status(thm)], [zip_derived_cl75, zip_derived_cl201])). 10.04/2.05 thf(zip_derived_cl243, plain, 10.04/2.05 (( ('#sk1' @ '#sk16' @ '#sk16') | ~ ('#form9') | ~ ('#form12'))), 10.04/2.05 inference('simplify', [status(thm)], [zip_derived_cl239])). 10.04/2.05 thf(zip_derived_cl1792, plain, ( ('#form9')), 10.04/2.05 inference('simplify', [status(thm)], [zip_derived_cl1783])). 10.04/2.05 thf(zip_derived_cl1813, plain, 10.04/2.05 (( ('#sk1' @ '#sk16' @ '#sk16') | ~ ('#form12'))), 10.04/2.05 inference('demod', [status(thm)], [zip_derived_cl243, zip_derived_cl1792])). 10.04/2.05 thf(zip_derived_cl2027, plain, ( ('#form12')), 10.04/2.05 inference('clc', [status(thm)], [zip_derived_cl2026, zip_derived_cl553])). 10.04/2.05 thf(zip_derived_cl2038, plain, ( ('#sk1' @ '#sk16' @ '#sk16')), 10.04/2.05 inference('demod', [status(thm)], 10.04/2.05 [zip_derived_cl1813, zip_derived_cl2027])). 10.04/2.05 thf(zip_derived_cl4100, plain, ($false), 10.04/2.05 inference('demod', [status(thm)], 10.04/2.05 [zip_derived_cl4073, zip_derived_cl2038])). 10.04/2.05 10.04/2.05 % SZS output end Refutation 10.04/2.05 10.04/2.05 10.04/2.05 % /export/starexec/sandbox2/solver/bin/lams/30_b.l.sh running for 90s 10.04/2.05 % Terminating... 11.14/2.10 % Runner terminated. 11.14/2.12 % Zipperpin 1.5 exiting 11.14/2.13 EOF