0.06/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.06/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.Gnsd9i8e4p true 0.13/0.33 % Computer : n005.cluster.edu 0.13/0.33 % Model : x86_64 x86_64 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.13/0.33 % Memory : 8042.1875MB 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64 0.13/0.33 % CPULimit : 1440 0.13/0.33 % WCLimit : 180 0.13/0.33 % DateTime : Thu Jul 4 07:52:24 EDT 2024 0.13/0.34 % CPUTime : 0.13/0.34 % Running portfolio for 1440 s 0.13/0.34 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p 0.13/0.34 % Number of cores: 8 0.13/0.34 % Python version: Python 3.6.8 0.13/0.34 % Running in HO mode 0.53/0.65 % Total configuration time : 828 0.53/0.65 % Estimated wc time : 1656 0.53/0.65 % Estimated cpu time (8 cpus) : 207.0 0.53/0.73 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s 0.53/0.73 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s 0.53/0.73 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s 0.53/0.73 % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s 0.53/0.73 % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s 0.53/0.74 % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s 0.53/0.74 % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s 0.54/0.74 % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s 0.54/1.07 % Solved by lams/30_sp5.sh. 0.54/1.07 % done 46 iterations in 0.169s 0.54/1.07 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p' 0.54/1.07 % SZS output start Refutation 0.54/1.07 thf(g_type, type, g: $tType). 0.54/1.07 thf(b_type, type, b: $tType). 0.54/1.07 thf(a_type, type, a: $tType). 0.54/1.07 thf('#sk18_type', type, '#sk18': g). 0.54/1.07 thf('#sk19_type', type, '#sk19': g). 0.54/1.07 thf('#sk22_type', type, '#sk22': g). 0.54/1.07 thf('#sk12_type', type, '#sk12': b > b > b). 0.54/1.07 thf('#sk11_type', type, '#sk11': b > $o). 0.54/1.07 thf('#form20_type', type, '#form20': $o). 0.54/1.07 thf('#sk10_type', type, '#sk10': g > g > g). 0.54/1.07 thf('#sk21_type', type, '#sk21': g). 0.54/1.07 thf('#sk15_type', type, '#sk15': a). 0.54/1.07 thf('#sk17_type', type, '#sk17': g). 0.54/1.07 thf('#sk14_type', type, '#sk14': a > a > a). 0.54/1.07 thf('#sk9_type', type, '#sk9': g > $o). 0.54/1.07 thf('#sk13_type', type, '#sk13': a > $o). 0.54/1.07 thf('#sk7_type', type, '#sk7': g > b). 0.54/1.07 thf('#form23_type', type, '#form23': $o). 0.54/1.07 thf('#sk8_type', type, '#sk8': b > a). 0.54/1.07 thf('#sk16_type', type, '#sk16': a). 0.54/1.07 thf(cTHM126_CORRECTED_pme, conjecture, 0.54/1.07 (![Xh1:( g > b ),Xh2:( b > a ),Xs1:( g > $o ),Xf1:( g > g > g ), 0.54/1.07 Xs2:( b > $o ),Xf2:( b > b > b ),Xh10:( g > b ),Xh20:( b > a ), 0.54/1.07 Xs10:( g > $o ),Xf10:( g > g > g ),Xs20:( b > $o ),Xf20:( b > b > b ), 0.54/1.07 Xs3:( a > $o ),Xf3:( a > a > a )]: 0.54/1.07 ( ( ( ![Xx:g,Xy:g]: 0.54/1.07 ( ( ( Xs10 @ Xx ) & ( Xs10 @ Xy ) ) => ( Xs10 @ ( Xf10 @ Xx @ Xy ) ) ) ) & 0.54/1.07 ( ![Xx:g]: ( ( Xs10 @ Xx ) => ( Xs20 @ ( Xh10 @ Xx ) ) ) ) & 0.54/1.07 ( ![Xx:g]: ( ( Xs10 @ Xx ) => ( Xs20 @ ( Xh10 @ Xx ) ) ) ) & 0.54/1.07 ( ![Xx:g,Xy:g]: 0.54/1.07 ( ( ( Xs10 @ Xy ) & ( Xs10 @ Xx ) ) => 0.54/1.07 ( ( Xh10 @ ( Xf10 @ Xx @ Xy ) ) = 0.54/1.07 ( Xf20 @ ( Xh10 @ Xx ) @ ( Xh10 @ Xy ) ) ) ) ) & 0.54/1.07 ( ![Xx:b]: ( ( Xs20 @ Xx ) => ( Xs3 @ ( Xh20 @ Xx ) ) ) ) & 0.54/1.07 ( ![Xx:b,Xy:b]: 0.54/1.07 ( ( ( Xs20 @ Xy ) & ( Xs20 @ Xx ) ) => 0.54/1.07 ( ( Xh20 @ ( Xf20 @ Xx @ Xy ) ) = 0.54/1.07 ( Xf3 @ ( Xh20 @ Xx ) @ ( Xh20 @ Xy ) ) ) ) ) & 0.54/1.07 ( ![Xx:a,Xy:a]: 0.54/1.07 ( ( ( Xs3 @ Xy ) & ( Xs3 @ Xx ) ) => ( Xs3 @ ( Xf3 @ Xx @ Xy ) ) ) ) & 0.54/1.07 ( ![Xx:g]: ( ( Xs10 @ Xx ) => ( Xs20 @ ( Xh10 @ Xx ) ) ) ) ) => 0.54/1.07 ( ( ![Xx:a,Xy:a]: 0.54/1.07 ( ( ( Xs3 @ Xx ) & ( Xs3 @ Xy ) ) => ( Xs3 @ ( Xf3 @ Xx @ Xy ) ) ) ) & 0.54/1.07 ( ![Xx:g]: ( ( Xs10 @ Xx ) => ( Xs3 @ ( Xh20 @ ( Xh10 @ Xx ) ) ) ) ) & 0.54/1.07 ( ![Xx:g,Xy:g]: 0.54/1.07 ( ( ( Xs10 @ Xy ) & ( Xs10 @ Xx ) & ( Xs10 @ Xy ) & ( Xs10 @ Xx ) ) => 0.54/1.07 ( ( Xh20 @ ( Xh10 @ ( Xf10 @ Xx @ Xy ) ) ) = 0.54/1.07 ( Xf3 @ ( Xh20 @ ( Xh10 @ Xx ) ) @ ( Xh20 @ ( Xh10 @ Xy ) ) ) ) ) ) & 0.54/1.07 ( ![Xx:g,Xy:g]: 0.54/1.07 ( ( ( Xs10 @ Xx ) & ( Xs10 @ Xy ) ) => ( Xs10 @ ( Xf10 @ Xx @ Xy ) ) ) ) ) ))). 0.54/1.07 thf(zf_stmt_0, negated_conjecture, 0.54/1.07 (~( ![Xh1:( g > b ),Xh2:( b > a ),Xs1:( g > $o ),Xf1:( g > g > g ), 0.54/1.07 Xs2:( b > $o ),Xf2:( b > b > b ),Xh10:( g > b ),Xh20:( b > a ), 0.54/1.07 Xs10:( g > $o ),Xf10:( g > g > g ),Xs20:( b > $o ), 0.54/1.07 Xf20:( b > b > b ),Xs3:( a > $o ),Xf3:( a > a > a )]: 0.54/1.07 ( ( ( ![Xx:g,Xy:g]: 0.54/1.07 ( ( ( Xs10 @ Xx ) & ( Xs10 @ Xy ) ) => 0.54/1.07 ( Xs10 @ ( Xf10 @ Xx @ Xy ) ) ) ) & 0.54/1.07 ( ![Xx:g]: ( ( Xs10 @ Xx ) => ( Xs20 @ ( Xh10 @ Xx ) ) ) ) & 0.54/1.07 ( ![Xx:g]: ( ( Xs10 @ Xx ) => ( Xs20 @ ( Xh10 @ Xx ) ) ) ) & 0.54/1.07 ( ![Xx:g,Xy:g]: 0.54/1.07 ( ( ( Xs10 @ Xy ) & ( Xs10 @ Xx ) ) => 0.54/1.07 ( ( Xh10 @ ( Xf10 @ Xx @ Xy ) ) = 0.54/1.07 ( Xf20 @ ( Xh10 @ Xx ) @ ( Xh10 @ Xy ) ) ) ) ) & 0.54/1.07 ( ![Xx:b]: ( ( Xs20 @ Xx ) => ( Xs3 @ ( Xh20 @ Xx ) ) ) ) & 0.54/1.07 ( ![Xx:b,Xy:b]: 0.54/1.07 ( ( ( Xs20 @ Xy ) & ( Xs20 @ Xx ) ) => 0.54/1.07 ( ( Xh20 @ ( Xf20 @ Xx @ Xy ) ) = 0.54/1.07 ( Xf3 @ ( Xh20 @ Xx ) @ ( Xh20 @ Xy ) ) ) ) ) & 0.54/1.07 ( ![Xx:a,Xy:a]: 0.54/1.07 ( ( ( Xs3 @ Xy ) & ( Xs3 @ Xx ) ) => ( Xs3 @ ( Xf3 @ Xx @ Xy ) ) ) ) & 0.54/1.07 ( ![Xx:g]: ( ( Xs10 @ Xx ) => ( Xs20 @ ( Xh10 @ Xx ) ) ) ) ) => 0.54/1.07 ( ( ![Xx:a,Xy:a]: 0.54/1.07 ( ( ( Xs3 @ Xx ) & ( Xs3 @ Xy ) ) => ( Xs3 @ ( Xf3 @ Xx @ Xy ) ) ) ) & 0.54/1.07 ( ![Xx:g]: ( ( Xs10 @ Xx ) => ( Xs3 @ ( Xh20 @ ( Xh10 @ Xx ) ) ) ) ) & 0.54/1.07 ( ![Xx:g,Xy:g]: 0.54/1.07 ( ( ( Xs10 @ Xy ) & ( Xs10 @ Xx ) & ( Xs10 @ Xy ) & ( Xs10 @ Xx ) ) => 0.54/1.07 ( ( Xh20 @ ( Xh10 @ ( Xf10 @ Xx @ Xy ) ) ) = 0.54/1.07 ( Xf3 @ ( Xh20 @ ( Xh10 @ Xx ) ) @ ( Xh20 @ ( Xh10 @ Xy ) ) ) ) ) ) & 0.54/1.07 ( ![Xx:g,Xy:g]: 0.54/1.07 ( ( ( Xs10 @ Xx ) & ( Xs10 @ Xy ) ) => 0.54/1.07 ( Xs10 @ ( Xf10 @ Xx @ Xy ) ) ) ) ) ) )), 0.54/1.07 inference('cnf.neg', [status(esa)], [cTHM126_CORRECTED_pme])). 0.54/1.07 thf(zip_derived_cl0, plain, 0.54/1.07 (~ (((!!) @ (^[Y0 : g > b]: 0.54/1.07 (((!!) @ (^[Y1 : b > a]: 0.54/1.07 (((!!) @ (^[Y2 : g > $o]: 0.54/1.07 (((!!) @ (^[Y3 : g > g > g]: 0.54/1.07 (((!!) @ (^[Y4 : b > $o]: 0.54/1.07 (( 0.54/1.07 (!!) @ ( 0.54/1.07 ^[Y5 : 0.54/1.07 b > b > b]: 0.54/1.07 (( 0.54/1.07 (!!) @ ( 0.54/1.07 ^[Y6 : g > b]: 0.54/1.07 (( 0.54/1.07 (!!) @ ( 0.54/1.07 ^[Y7 : b > a]: 0.54/1.07 (( 0.54/1.07 (!!) @ ( 0.54/1.07 ^[Y8 : g > $o]: 0.54/1.07 (( 0.54/1.07 (!!) @ ( 0.54/1.07 ^[Y9 : 0.54/1.07 g > g > g]: 0.54/1.07 (( 0.54/1.07 (!!) @ ( 0.54/1.07 ^[Y10 : b > $o]: 0.54/1.07 (( 0.54/1.07 (!!) @ ( 0.54/1.07 ^[Y11 : 0.54/1.07 b > b > b]: 0.54/1.07 (( 0.54/1.07 (!!) @ ( 0.54/1.07 ^[Y12 : a > $o]: 0.54/1.07 (( 0.54/1.07 (!!) @ ( 0.54/1.07 ^[Y13 : 0.54/1.07 a > a > a]: 0.54/1.07 (( 0.54/1.07 (( 0.54/1.07 ( 0.54/1.07 ( 0.54/1.07 (!!) @ ( 0.54/1.07 ^[Y14 : g]: 0.54/1.07 (( 0.54/1.07 (!!) @ ( 0.54/1.07 ^[Y15 : g]: 0.54/1.07 (( 0.54/1.07 (( 0.54/1.07 (Y8 @ 0.54/1.07 Y14) & 0.54/1.07 (Y8 @ 0.54/1.07 Y15))) => 0.54/1.07 (Y8 @ 0.54/1.07 ( 0.54/1.07 Y9 @ 0.54/1.07 Y14 @ Y15)))))))))) & 0.54/1.07 ( 0.54/1.07 ( 0.54/1.07 (!!) @ ( 0.54/1.07 ^[Y14 : g]: 0.54/1.07 (( 0.54/1.07 (Y8 @ 0.54/1.07 Y14) => 0.54/1.07 (Y10 @ 0.54/1.07 ( 0.54/1.07 Y6 @ Y14))))))) & 0.54/1.07 ( 0.54/1.07 ( 0.54/1.07 (!!) @ ( 0.54/1.07 ^[Y14 : g]: 0.54/1.07 (( 0.54/1.07 (Y8 @ 0.54/1.07 Y14) => 0.54/1.07 (Y10 @ 0.54/1.07 ( 0.54/1.07 Y6 @ Y14))))))) & 0.54/1.07 ( 0.54/1.07 ( 0.54/1.07 (!!) @ ( 0.54/1.07 ^[Y14 : g]: 0.54/1.07 (( 0.54/1.07 (!!) @ ( 0.54/1.07 ^[Y15 : g]: 0.54/1.07 (( 0.54/1.07 (( 0.54/1.07 (Y8 @ 0.54/1.07 Y15) & 0.54/1.07 (Y8 @ 0.54/1.07 Y14))) => 0.54/1.07 (( 0.54/1.07 (Y6 @ 0.54/1.07 ( 0.54/1.07 Y9 @ 0.54/1.07 Y14 @ Y15)) = 0.54/1.07 (Y11 @ 0.54/1.07 ( 0.54/1.07 Y6 @ Y14) @ 0.54/1.07 ( 0.54/1.07 Y6 @ Y15)))))))))))) & 0.54/1.07 ( 0.54/1.07 ( 0.54/1.07 (!!) @ ( 0.54/1.07 ^[Y14 : b]: 0.54/1.07 (( 0.54/1.07 (Y10 @ 0.54/1.07 Y14) => 0.54/1.07 (Y12 @ 0.54/1.07 ( 0.54/1.07 Y7 @ Y14))))))) & 0.54/1.07 ( 0.54/1.07 ( 0.54/1.07 (!!) @ ( 0.54/1.07 ^[Y14 : b]: 0.54/1.07 (( 0.54/1.07 (!!) @ ( 0.54/1.07 ^[Y15 : b]: 0.54/1.07 (( 0.54/1.07 (( 0.54/1.07 (Y10 @ 0.54/1.07 Y15) & 0.54/1.07 (Y10 @ 0.54/1.07 Y14))) => 0.54/1.07 (( 0.54/1.07 (Y7 @ 0.54/1.07 ( 0.54/1.07 Y11 @ 0.54/1.07 Y14 @ Y15)) = 0.54/1.07 (Y13 @ 0.54/1.07 ( 0.54/1.07 Y7 @ Y14) @ 0.54/1.07 ( 0.54/1.07 Y7 @ Y15)))))))))))) & 0.54/1.07 ( 0.54/1.07 ( 0.54/1.07 (!!) @ ( 0.54/1.07 ^[Y14 : a]: 0.54/1.07 (( 0.54/1.07 (!!) @ ( 0.54/1.07 ^[Y15 : a]: 0.54/1.07 (( 0.54/1.07 (( 0.54/1.07 (Y12 @ 0.54/1.07 Y15) & 0.54/1.07 (Y12 @ 0.54/1.07 Y14))) => 0.54/1.07 (Y12 @ 0.54/1.07 ( 0.54/1.07 Y13 @ 0.54/1.07 Y14 @ Y15)))))))))) & 0.54/1.07 ( 0.54/1.07 ( 0.54/1.07 (!!) @ ( 0.54/1.07 ^[Y14 : g]: 0.54/1.07 (( 0.54/1.07 (Y8 @ 0.54/1.07 Y14) => 0.54/1.07 (Y10 @ 0.54/1.07 ( 0.54/1.07 Y6 @ Y14))))))))) => 0.54/1.07 (( 0.54/1.07 ( 0.54/1.07 ( 0.54/1.07 (!!) @ ( 0.54/1.07 ^[Y14 : a]: 0.54/1.07 (( 0.54/1.07 (!!) @ ( 0.54/1.07 ^[Y15 : a]: 0.54/1.07 (( 0.54/1.07 (( 0.54/1.07 (Y12 @ 0.54/1.07 Y14) & 0.54/1.07 (Y12 @ 0.54/1.07 Y15))) => 0.54/1.07 (Y12 @ 0.54/1.07 ( 0.54/1.07 Y13 @ 0.54/1.07 Y14 @ Y15)))))))))) & 0.54/1.07 ( 0.54/1.07 ( 0.54/1.07 (!!) @ ( 0.54/1.07 ^[Y14 : g]: 0.54/1.07 (( 0.54/1.07 (Y8 @ 0.54/1.07 Y14) => 0.54/1.07 (Y12 @ 0.54/1.07 ( 0.54/1.07 Y7 @ 0.54/1.07 ( 0.54/1.07 Y6 @ Y14)))))))) & 0.54/1.07 ( 0.54/1.07 ( 0.54/1.07 (!!) @ ( 0.54/1.07 ^[Y14 : g]: 0.54/1.07 (( 0.54/1.07 (!!) @ ( 0.54/1.07 ^[Y15 : g]: 0.54/1.07 (( 0.54/1.07 (( 0.54/1.07 ( 0.54/1.07 Y8 @ Y15) & 0.54/1.07 ( 0.54/1.07 Y8 @ Y14) & 0.54/1.07 ( 0.54/1.07 Y8 @ Y15) & 0.54/1.07 ( 0.54/1.07 Y8 @ Y14))) => 0.54/1.07 (( 0.54/1.07 (Y7 @ 0.54/1.07 ( 0.54/1.07 Y6 @ 0.54/1.07 ( 0.54/1.07 Y9 @ 0.54/1.07 Y14 @ Y15))) = 0.54/1.07 (Y13 @ 0.54/1.07 ( 0.54/1.07 Y7 @ 0.54/1.07 ( 0.54/1.07 Y6 @ Y14)) @ 0.54/1.07 ( 0.54/1.07 Y7 @ 0.54/1.07 ( 0.54/1.07 Y6 @ Y15))))))))))))) & 0.54/1.07 ( 0.54/1.07 ( 0.54/1.07 (!!) @ ( 0.54/1.07 ^[Y14 : g]: 0.54/1.07 (( 0.54/1.07 (!!) @ ( 0.54/1.07 ^[Y15 : g]: 0.54/1.07 (( 0.54/1.07 (( 0.54/1.07 (Y8 @ 0.54/1.07 Y14) & 0.54/1.07 (Y8 @ 0.54/1.07 Y15))) => 0.54/1.07 (Y8 @ 0.54/1.07 ( 0.54/1.07 Y9 @ 0.54/1.07 Y14 @ Y15))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 0.54/1.07 inference('cnf', [status(esa)], [zf_stmt_0])). 0.54/1.07 thf(zip_derived_cl1, plain, 0.54/1.07 (~ (((!!) @ (^[Y0 : g > b]: 0.54/1.07 (((!!) @ (^[Y1 : b > a]: 0.54/1.07 (((!!) @ (^[Y2 : g > $o]: 0.54/1.07 (((!!) @ (^[Y3 : g > g > g]: 0.54/1.07 (((!!) @ (^[Y4 : b > $o]: 0.54/1.07 (( 0.54/1.07 (!!) @ ( 0.54/1.07 ^[Y5 : 0.54/1.07 b > b > b]: 0.54/1.07 (( 0.54/1.07 (!!) @ ( 0.54/1.07 ^[Y6 : g > b]: 0.54/1.07 (( 0.54/1.07 (!!) @ ( 0.54/1.07 ^[Y7 : b > a]: 0.54/1.07 (( 0.54/1.07 (!!) @ ( 0.54/1.07 ^[Y8 : g > $o]: 0.54/1.07 (( 0.54/1.07 (!!) @ ( 0.54/1.07 ^[Y9 : 0.54/1.07 g > g > g]: 0.54/1.07 (( 0.54/1.07 (!!) @ ( 0.54/1.07 ^[Y10 : b > $o]: 0.54/1.07 (( 0.54/1.07 (!!) @ ( 0.54/1.07 ^[Y11 : 0.54/1.07 b > b > b]: 0.54/1.07 (( 0.54/1.07 (!!) @ ( 0.54/1.07 ^[Y12 : a > $o]: 0.54/1.07 (( 0.54/1.07 (!!) @ ( 0.54/1.07 ^[Y13 : 0.54/1.07 a > a > a]: 0.54/1.07 (( 0.54/1.07 (( 0.54/1.07 ( 0.54/1.07 ( 0.54/1.07 (!!) @ ( 0.54/1.07 ^[Y14 : g]: 0.54/1.07 (( 0.54/1.07 (Y8 @ 0.54/1.07 Y14) => 0.54/1.07 (Y10 @ 0.54/1.07 ( 0.54/1.07 Y6 @ Y14))))))) & 0.54/1.07 ( 0.54/1.07 ( 0.54/1.07 (!!) @ ( 0.54/1.07 ^[Y14 : b]: 0.54/1.07 (( 0.54/1.07 (Y10 @ 0.54/1.07 Y14) => 0.54/1.07 (Y12 @ 0.54/1.07 ( 0.54/1.07 Y7 @ Y14))))))) & 0.54/1.07 ( 0.54/1.07 ( 0.54/1.07 (!!) @ ( 0.54/1.07 ^[Y14 : a]: 0.54/1.07 (( 0.54/1.07 (!!) @ ( 0.54/1.07 ^[Y15 : a]: 0.54/1.07 (( 0.54/1.07 (( 0.54/1.07 (Y12 @ 0.54/1.07 Y15) & 0.54/1.07 (Y12 @ 0.54/1.07 Y14))) => 0.54/1.07 (Y12 @ 0.54/1.07 ( 0.54/1.07 Y13 @ 0.54/1.07 Y14 @ Y15)))))))))) & 0.54/1.07 ( 0.54/1.07 ( 0.54/1.07 (!!) @ ( 0.54/1.07 ^[Y14 : g]: 0.54/1.07 (( 0.54/1.07 (!!) @ ( 0.54/1.07 ^[Y15 : g]: 0.54/1.07 (( 0.54/1.07 (( 0.54/1.07 (Y8 @ 0.54/1.07 Y14) & 0.54/1.07 (Y8 @ 0.54/1.07 Y15))) => 0.54/1.07 (Y8 @ 0.54/1.07 ( 0.54/1.07 Y9 @ 0.54/1.07 Y14 @ Y15)))))))))) & 0.54/1.07 ( 0.54/1.07 ( 0.54/1.07 (!!) @ ( 0.54/1.07 ^[Y14 : g]: 0.54/1.07 (( 0.54/1.07 (!!) @ ( 0.54/1.07 ^[Y15 : g]: 0.54/1.07 (( 0.54/1.07 (( 0.54/1.07 (Y8 @ 0.54/1.07 Y15) & 0.54/1.07 (Y8 @ 0.54/1.07 Y14))) => 0.54/1.07 (( 0.54/1.07 (Y6 @ 0.54/1.07 ( 0.54/1.07 Y9 @ 0.54/1.07 Y14 @ Y15)) = 0.54/1.07 (Y11 @ 0.54/1.07 ( 0.54/1.07 Y6 @ Y14) @ 0.54/1.07 ( 0.54/1.07 Y6 @ Y15)))))))))))) & 0.54/1.07 ( 0.54/1.07 ( 0.54/1.07 (!!) @ ( 0.54/1.07 ^[Y14 : b]: 0.54/1.07 (( 0.54/1.07 (!!) @ ( 0.54/1.07 ^[Y15 : b]: 0.54/1.07 (( 0.54/1.07 (( 0.54/1.07 (Y10 @ 0.54/1.07 Y15) & 0.54/1.07 (Y10 @ 0.54/1.07 Y14))) => 0.54/1.07 (( 0.54/1.07 (Y7 @ 0.54/1.07 ( 0.54/1.07 Y11 @ 0.54/1.07 Y14 @ Y15)) = 0.54/1.07 (Y13 @ 0.54/1.07 ( 0.54/1.07 Y7 @ Y14) @ 0.54/1.07 ( 0.54/1.07 Y7 @ Y15)))))))))))))) => 0.54/1.07 (( 0.54/1.07 ( 0.54/1.07 ( 0.54/1.07 (!!) @ ( 0.54/1.07 ^[Y14 : a]: 0.54/1.07 (( 0.54/1.07 (!!) @ ( 0.54/1.07 ^[Y15 : a]: 0.54/1.07 (( 0.54/1.07 (( 0.54/1.07 (Y12 @ 0.54/1.07 Y14) & 0.54/1.07 (Y12 @ 0.54/1.07 Y15))) => 0.54/1.07 (Y12 @ 0.54/1.07 ( 0.54/1.07 Y13 @ 0.54/1.07 Y14 @ Y15)))))))))) & 0.54/1.07 ( 0.54/1.07 ( 0.54/1.07 (!!) @ ( 0.54/1.07 ^[Y14 : g]: 0.54/1.07 (( 0.54/1.07 (Y8 @ 0.54/1.07 Y14) => 0.54/1.07 (Y12 @ 0.54/1.07 ( 0.54/1.07 Y7 @ 0.54/1.07 ( 0.54/1.07 Y6 @ Y14)))))))) & 0.54/1.07 ( 0.54/1.07 ( 0.54/1.07 (!!) @ ( 0.54/1.07 ^[Y14 : g]: 0.54/1.07 (( 0.54/1.07 (!!) @ ( 0.54/1.07 ^[Y15 : g]: 0.54/1.07 (( 0.54/1.07 (( 0.54/1.07 (Y8 @ 0.54/1.07 Y14) & 0.54/1.07 (Y8 @ 0.54/1.07 Y15))) => 0.54/1.07 (( 0.54/1.07 (Y7 @ 0.54/1.07 ( 0.54/1.07 Y6 @ 0.54/1.07 ( 0.54/1.07 Y9 @ 0.54/1.07 Y14 @ Y15))) = 0.54/1.07 (Y13 @ 0.54/1.07 ( 0.54/1.07 Y7 @ 0.54/1.07 ( 0.54/1.07 Y6 @ Y14)) @ 0.54/1.07 ( 0.54/1.07 Y7 @ 0.54/1.07 ( 0.54/1.07 Y6 @ Y15))))))))))))) & 0.54/1.07 ( 0.54/1.07 ( 0.54/1.07 (!!) @ ( 0.54/1.07 ^[Y14 : g]: 0.54/1.07 (( 0.54/1.07 (!!) @ ( 0.54/1.07 ^[Y15 : g]: 0.54/1.07 (( 0.54/1.07 (( 0.54/1.07 (Y8 @ 0.54/1.07 Y14) & 0.54/1.07 (Y8 @ 0.54/1.07 Y15))) => 0.54/1.07 (Y8 @ 0.54/1.07 ( 0.54/1.07 Y9 @ 0.54/1.07 Y14 @ Y15))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 0.54/1.07 inference('simplify boolean subterms', [status(thm)], [zip_derived_cl0])). 0.54/1.07 thf(zip_derived_cl2, plain, 0.54/1.07 (~ (((!!) @ (^[Y0 : b > a]: 0.54/1.07 (((!!) @ (^[Y1 : g > $o]: 0.54/1.07 (((!!) @ (^[Y2 : g > g > g]: 0.54/1.07 (((!!) @ (^[Y3 : b > $o]: 0.54/1.07 (((!!) @ (^[Y4 : 0.54/1.07 b > b > b]: 0.54/1.07 (( 0.54/1.07 (!!) @ ( 0.54/1.07 ^[Y5 : g > b]: 0.54/1.07 (( 0.54/1.07 (!!) @ ( 0.54/1.07 ^[Y6 : b > a]: 0.54/1.07 (( 0.54/1.07 (!!) @ ( 0.54/1.07 ^[Y7 : g > $o]: 0.54/1.07 (( 0.54/1.07 (!!) @ ( 0.54/1.07 ^[Y8 : 0.54/1.07 g > g > g]: 0.54/1.07 (( 0.54/1.07 (!!) @ ( 0.54/1.07 ^[Y9 : b > $o]: 0.54/1.07 (( 0.54/1.07 (!!) @ ( 0.54/1.07 ^[Y10 : 0.54/1.07 b > b > b]: 0.54/1.07 (( 0.54/1.07 (!!) @ ( 0.54/1.07 ^[Y11 : a > $o]: 0.54/1.07 (( 0.54/1.07 (!!) @ ( 0.54/1.07 ^[Y12 : 0.54/1.07 a > a > a]: 0.54/1.07 (( 0.54/1.07 (( 0.54/1.07 ( 0.54/1.07 ( 0.54/1.07 (!!) @ ( 0.54/1.07 ^[Y13 : g]: 0.54/1.07 (( 0.54/1.07 (Y7 @ 0.54/1.07 Y13) => 0.54/1.07 (Y9 @ 0.54/1.07 ( 0.54/1.07 Y5 @ Y13))))))) & 0.54/1.07 ( 0.54/1.07 ( 0.54/1.07 (!!) @ ( 0.54/1.07 ^[Y13 : b]: 0.54/1.07 (( 0.54/1.07 (Y9 @ 0.54/1.07 Y13) => 0.54/1.07 (Y11 @ 0.54/1.07 ( 0.54/1.07 Y6 @ Y13))))))) & 0.54/1.07 ( 0.54/1.07 ( 0.54/1.07 (!!) @ ( 0.54/1.07 ^[Y13 : a]: 0.54/1.07 (( 0.54/1.07 (!!) @ ( 0.54/1.07 ^[Y14 : a]: 0.54/1.07 (( 0.54/1.07 (( 0.54/1.07 (Y11 @ 0.54/1.07 Y14) & 0.54/1.07 (Y11 @ 0.54/1.07 Y13))) => 0.54/1.07 (Y11 @ 0.54/1.07 ( 0.54/1.07 Y12 @ 0.54/1.07 Y13 @ Y14)))))))))) & 0.54/1.07 ( 0.54/1.07 ( 0.54/1.07 (!!) @ ( 0.54/1.07 ^[Y13 : g]: 0.54/1.07 (( 0.54/1.07 (!!) @ ( 0.54/1.07 ^[Y14 : g]: 0.54/1.07 (( 0.54/1.07 (( 0.54/1.07 (Y7 @ 0.54/1.07 Y13) & 0.54/1.07 (Y7 @ 0.54/1.07 Y14))) => 0.54/1.07 (Y7 @ 0.54/1.07 ( 0.54/1.07 Y8 @ 0.54/1.07 Y13 @ Y14)))))))))) & 0.54/1.07 ( 0.54/1.07 ( 0.54/1.07 (!!) @ ( 0.54/1.07 ^[Y13 : g]: 0.54/1.07 (( 0.54/1.07 (!!) @ ( 0.54/1.07 ^[Y14 : g]: 0.54/1.07 (( 0.54/1.07 (( 0.54/1.07 (Y7 @ 0.54/1.07 Y14) & 0.54/1.07 (Y7 @ 0.54/1.07 Y13))) => 0.54/1.07 (( 0.54/1.07 (Y5 @ 0.54/1.07 ( 0.54/1.07 Y8 @ 0.54/1.07 Y13 @ Y14)) = 0.54/1.07 (Y10 @ 0.54/1.07 ( 0.54/1.07 Y5 @ Y13) @ 0.54/1.07 ( 0.54/1.07 Y5 @ Y14)))))))))))) & 0.54/1.07 ( 0.54/1.07 ( 0.54/1.07 (!!) @ ( 0.54/1.07 ^[Y13 : b]: 0.54/1.07 (( 0.54/1.07 (!!) @ ( 0.54/1.07 ^[Y14 : b]: 0.54/1.07 (( 0.54/1.07 (( 0.54/1.07 (Y9 @ 0.54/1.07 Y14) & 0.54/1.07 (Y9 @ 0.54/1.07 Y13))) => 0.54/1.07 (( 0.54/1.07 (Y6 @ 0.54/1.07 ( 0.54/1.07 Y10 @ 0.54/1.07 Y13 @ Y14)) = 0.54/1.07 (Y12 @ 0.54/1.07 ( 0.54/1.07 Y6 @ Y13) @ 0.54/1.07 ( 0.54/1.07 Y6 @ Y14)))))))))))))) => 0.54/1.07 (( 0.54/1.07 ( 0.54/1.07 ( 0.54/1.07 (!!) @ ( 0.54/1.07 ^[Y13 : a]: 0.54/1.07 (( 0.54/1.07 (!!) @ ( 0.54/1.07 ^[Y14 : a]: 0.54/1.07 (( 0.54/1.07 (( 0.54/1.07 (Y11 @ 0.54/1.07 Y13) & 0.54/1.07 (Y11 @ 0.54/1.07 Y14))) => 0.54/1.07 (Y11 @ 0.54/1.07 ( 0.54/1.07 Y12 @ 0.54/1.07 Y13 @ Y14)))))))))) & 0.54/1.07 ( 0.54/1.07 ( 0.54/1.07 (!!) @ ( 0.54/1.07 ^[Y13 : g]: 0.54/1.07 (( 0.54/1.07 (Y7 @ 0.54/1.07 Y13) => 0.54/1.07 (Y11 @ 0.54/1.07 ( 0.54/1.07 Y6 @ 0.54/1.07 ( 0.54/1.07 Y5 @ Y13)))))))) & 0.54/1.07 ( 0.54/1.07 ( 0.54/1.07 (!!) @ ( 0.54/1.07 ^[Y13 : g]: 0.54/1.07 (( 0.54/1.07 (!!) @ ( 0.54/1.07 ^[Y14 : g]: 0.54/1.07 (( 0.54/1.07 (( 0.54/1.07 (Y7 @ 0.54/1.07 Y13) & 0.54/1.07 (Y7 @ 0.54/1.07 Y14))) => 0.54/1.07 (( 0.54/1.07 (Y6 @ 0.54/1.07 ( 0.54/1.07 Y5 @ 0.54/1.07 ( 0.54/1.07 Y8 @ 0.54/1.07 Y13 @ Y14))) = 0.54/1.07 (Y12 @ 0.54/1.07 ( 0.54/1.07 Y6 @ 0.54/1.07 ( 0.54/1.07 Y5 @ Y13)) @ 0.54/1.07 ( 0.54/1.07 Y6 @ 0.54/1.07 ( 0.54/1.07 Y5 @ Y14))))))))))))) & 0.54/1.07 ( 0.54/1.07 ( 0.54/1.07 (!!) @ ( 0.54/1.07 ^[Y13 : g]: 0.54/1.07 (( 0.54/1.07 (!!) @ ( 0.54/1.07 ^[Y14 : g]: 0.54/1.07 (( 0.54/1.07 (( 0.54/1.07 (Y7 @ 0.54/1.07 Y13) & 0.54/1.07 (Y7 @ 0.54/1.07 Y14))) => 0.54/1.07 (Y7 @ 0.54/1.07 ( 0.54/1.07 Y8 @ 0.54/1.07 Y13 @ Y14)))))))))))))))))))))))))))))))))))))))))))))))))))))), 0.54/1.07 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl1])). 0.54/1.07 thf(zip_derived_cl3, plain, 0.54/1.07 (~ (((!!) @ (^[Y0 : g > $o]: 0.54/1.07 (((!!) @ (^[Y1 : g > g > g]: 0.54/1.07 (((!!) @ (^[Y2 : b > $o]: 0.54/1.07 (((!!) @ (^[Y3 : b > b > b]: 0.54/1.07 (((!!) @ (^[Y4 : g > b]: 0.54/1.07 (( 0.54/1.07 (!!) @ ( 0.54/1.07 ^[Y5 : b > a]: 0.54/1.07 (( 0.54/1.07 (!!) @ ( 0.54/1.07 ^[Y6 : g > $o]: 0.54/1.07 (( 0.54/1.07 (!!) @ ( 0.54/1.07 ^[Y7 : 0.54/1.07 g > g > g]: 0.54/1.07 (( 0.54/1.07 (!!) @ ( 0.54/1.07 ^[Y8 : b > $o]: 0.54/1.07 (( 0.54/1.07 (!!) @ ( 0.54/1.07 ^[Y9 : 0.54/1.07 b > b > b]: 0.54/1.07 (( 0.54/1.07 (!!) @ ( 0.54/1.07 ^[Y10 : a > $o]: 0.54/1.07 (( 0.54/1.07 (!!) @ ( 0.54/1.07 ^[Y11 : 0.54/1.07 a > a > a]: 0.54/1.07 (( 0.54/1.07 (( 0.54/1.07 ( 0.54/1.07 ( 0.54/1.07 (!!) @ ( 0.54/1.07 ^[Y12 : g]: 0.54/1.07 (( 0.54/1.07 (Y6 @ 0.54/1.07 Y12) => 0.54/1.07 (Y8 @ 0.54/1.07 ( 0.54/1.07 Y4 @ Y12))))))) & 0.54/1.07 ( 0.54/1.07 ( 0.54/1.07 (!!) @ ( 0.54/1.07 ^[Y12 : b]: 0.54/1.07 (( 0.54/1.07 (Y8 @ 0.54/1.07 Y12) => 0.54/1.07 (Y10 @ 0.54/1.07 ( 0.54/1.07 Y5 @ Y12))))))) & 0.54/1.07 ( 0.54/1.07 ( 0.54/1.07 (!!) @ ( 0.54/1.07 ^[Y12 : a]: 0.54/1.07 (( 0.54/1.07 (!!) @ ( 0.54/1.07 ^[Y13 : a]: 0.54/1.07 (( 0.54/1.07 (( 0.54/1.07 (Y10 @ 0.54/1.07 Y13) & 0.54/1.07 (Y10 @ 0.54/1.07 Y12))) => 0.54/1.07 (Y10 @ 0.54/1.07 ( 0.54/1.07 Y11 @ 0.54/1.07 Y12 @ Y13)))))))))) & 0.54/1.07 ( 0.54/1.07 ( 0.54/1.07 (!!) @ ( 0.54/1.07 ^[Y12 : g]: 0.54/1.07 (( 0.54/1.07 (!!) @ ( 0.54/1.07 ^[Y13 : g]: 0.54/1.07 (( 0.54/1.07 (( 0.54/1.07 (Y6 @ 0.54/1.07 Y12) & 0.54/1.07 (Y6 @ 0.54/1.07 Y13))) => 0.54/1.07 (Y6 @ 0.54/1.07 ( 0.54/1.07 Y7 @ 0.54/1.07 Y12 @ Y13)))))))))) & 0.54/1.07 ( 0.54/1.07 ( 0.54/1.07 (!!) @ ( 0.54/1.07 ^[Y12 : g]: 0.54/1.07 (( 0.54/1.07 (!!) @ ( 0.54/1.07 ^[Y13 : g]: 0.54/1.07 (( 0.54/1.07 (( 0.54/1.07 (Y6 @ 0.54/1.07 Y13) & 0.54/1.07 (Y6 @ 0.54/1.07 Y12))) => 0.54/1.07 (( 0.54/1.07 (Y4 @ 0.54/1.07 ( 0.54/1.07 Y7 @ 0.54/1.07 Y12 @ Y13)) = 0.54/1.07 (Y9 @ 0.54/1.07 ( 0.54/1.07 Y4 @ Y12) @ 0.54/1.07 ( 0.54/1.07 Y4 @ Y13)))))))))))) & 0.54/1.07 ( 0.54/1.07 ( 0.54/1.07 (!!) @ ( 0.54/1.07 ^[Y12 : b]: 0.54/1.07 (( 0.54/1.07 (!!) @ ( 0.54/1.07 ^[Y13 : b]: 0.54/1.07 (( 0.54/1.07 (( 0.54/1.07 (Y8 @ 0.54/1.07 Y13) & 0.54/1.07 (Y8 @ 0.54/1.07 Y12))) => 0.54/1.07 (( 0.54/1.07 (Y5 @ 0.54/1.07 ( 0.54/1.07 Y9 @ 0.54/1.07 Y12 @ Y13)) = 0.54/1.07 (Y11 @ 0.54/1.07 ( 0.54/1.07 Y5 @ Y12) @ 0.54/1.07 ( 0.54/1.07 Y5 @ Y13)))))))))))))) => 0.54/1.07 (( 0.54/1.07 ( 0.54/1.07 ( 0.54/1.07 (!!) @ ( 0.54/1.07 ^[Y12 : a]: 0.54/1.07 (( 0.54/1.07 (!!) @ ( 0.54/1.07 ^[Y13 : a]: 0.54/1.07 (( 0.54/1.07 (( 0.54/1.07 (Y10 @ 0.54/1.07 Y12) & 0.54/1.07 (Y10 @ 0.54/1.07 Y13))) => 0.54/1.07 (Y10 @ 0.54/1.07 ( 0.54/1.07 Y11 @ 0.54/1.07 Y12 @ Y13)))))))))) & 0.54/1.07 ( 0.54/1.07 ( 0.54/1.07 (!!) @ ( 0.54/1.07 ^[Y12 : g]: 0.54/1.07 (( 0.54/1.07 (Y6 @ 0.54/1.07 Y12) => 0.54/1.07 (Y10 @ 0.54/1.07 ( 0.54/1.07 Y5 @ 0.54/1.07 ( 0.54/1.07 Y4 @ Y12)))))))) & 0.54/1.07 ( 0.54/1.07 ( 0.54/1.07 (!!) @ ( 0.54/1.07 ^[Y12 : g]: 0.54/1.07 (( 0.54/1.07 (!!) @ ( 0.54/1.07 ^[Y13 : g]: 0.54/1.07 (( 0.54/1.07 (( 0.54/1.07 (Y6 @ 0.54/1.07 Y12) & 0.54/1.07 (Y6 @ 0.54/1.07 Y13))) => 0.54/1.07 (( 0.54/1.07 (Y5 @ 0.54/1.07 ( 0.54/1.07 Y4 @ 0.54/1.07 ( 0.54/1.07 Y7 @ 0.54/1.07 Y12 @ Y13))) = 0.54/1.07 (Y11 @ 0.54/1.07 ( 0.54/1.07 Y5 @ 0.54/1.07 ( 0.54/1.07 Y4 @ Y12)) @ 0.54/1.07 ( 0.54/1.07 Y5 @ 0.54/1.07 ( 0.54/1.07 Y4 @ Y13))))))))))))) & 0.54/1.07 ( 0.54/1.07 ( 0.54/1.07 (!!) @ ( 0.54/1.07 ^[Y12 : g]: 0.54/1.07 (( 0.54/1.07 (!!) @ ( 0.54/1.07 ^[Y13 : g]: 0.54/1.07 (( 0.54/1.07 (( 0.54/1.07 (Y6 @ 0.54/1.07 Y12) & 0.54/1.07 (Y6 @ 0.54/1.07 Y13))) => 0.54/1.07 (Y6 @ 0.54/1.07 ( 0.54/1.07 Y7 @ 0.54/1.07 Y12 @ Y13))))))))))))))))))))))))))))))))))))))))))))))))))), 0.54/1.07 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl2])). 0.54/1.07 thf(zip_derived_cl4, plain, 0.54/1.07 (~ (((!!) @ (^[Y0 : g > g > g]: 0.54/1.07 (((!!) @ (^[Y1 : b > $o]: 0.54/1.07 (((!!) @ (^[Y2 : b > b > b]: 0.54/1.07 (((!!) @ (^[Y3 : g > b]: 0.54/1.07 (((!!) @ (^[Y4 : b > a]: 0.54/1.07 (( 0.54/1.07 (!!) @ ( 0.54/1.07 ^[Y5 : g > $o]: 0.54/1.07 (( 0.54/1.07 (!!) @ ( 0.54/1.07 ^[Y6 : 0.54/1.07 g > g > g]: 0.54/1.07 (( 0.54/1.07 (!!) @ ( 0.54/1.07 ^[Y7 : b > $o]: 0.54/1.07 (( 0.54/1.07 (!!) @ ( 0.54/1.07 ^[Y8 : 0.54/1.07 b > b > b]: 0.54/1.07 (( 0.54/1.07 (!!) @ ( 0.54/1.07 ^[Y9 : a > $o]: 0.54/1.07 (( 0.54/1.07 (!!) @ ( 0.54/1.07 ^[Y10 : 0.54/1.07 a > a > a]: 0.54/1.07 (( 0.54/1.07 (( 0.54/1.07 ( 0.54/1.07 ( 0.54/1.07 (!!) @ ( 0.54/1.07 ^[Y11 : g]: 0.54/1.07 (( 0.54/1.07 (Y5 @ 0.54/1.07 Y11) => 0.54/1.07 (Y7 @ 0.54/1.07 ( 0.54/1.07 Y3 @ Y11))))))) & 0.54/1.07 ( 0.54/1.07 ( 0.54/1.07 (!!) @ ( 0.54/1.07 ^[Y11 : b]: 0.54/1.07 (( 0.54/1.07 (Y7 @ 0.54/1.07 Y11) => 0.54/1.07 (Y9 @ 0.54/1.07 ( 0.54/1.07 Y4 @ Y11))))))) & 0.54/1.07 ( 0.54/1.07 ( 0.54/1.07 (!!) @ ( 0.54/1.07 ^[Y11 : a]: 0.54/1.07 (( 0.54/1.07 (!!) @ ( 0.54/1.07 ^[Y12 : a]: 0.54/1.07 (( 0.54/1.07 (( 0.54/1.07 (Y9 @ 0.54/1.07 Y12) & 0.54/1.07 (Y9 @ 0.54/1.07 Y11))) => 0.54/1.07 (Y9 @ 0.54/1.07 ( 0.54/1.07 Y10 @ 0.54/1.07 Y11 @ Y12)))))))))) & 0.54/1.07 ( 0.54/1.07 ( 0.54/1.07 (!!) @ ( 0.54/1.07 ^[Y11 : g]: 0.54/1.07 (( 0.54/1.07 (!!) @ ( 0.54/1.07 ^[Y12 : g]: 0.54/1.07 (( 0.54/1.07 (( 0.54/1.07 (Y5 @ 0.54/1.07 Y11) & 0.54/1.07 (Y5 @ 0.54/1.07 Y12))) => 0.54/1.07 (Y5 @ 0.54/1.07 ( 0.54/1.07 Y6 @ 0.54/1.07 Y11 @ Y12)))))))))) & 0.54/1.07 ( 0.54/1.07 ( 0.54/1.07 (!!) @ ( 0.54/1.07 ^[Y11 : g]: 0.54/1.07 (( 0.54/1.07 (!!) @ ( 0.54/1.07 ^[Y12 : g]: 0.54/1.07 (( 0.54/1.07 (( 0.54/1.07 (Y5 @ 0.54/1.07 Y12) & 0.54/1.07 (Y5 @ 0.54/1.07 Y11))) => 0.54/1.07 (( 0.54/1.07 (Y3 @ 0.54/1.07 ( 0.54/1.07 Y6 @ 0.54/1.07 Y11 @ Y12)) = 0.54/1.07 (Y8 @ 0.54/1.07 ( 0.54/1.07 Y3 @ Y11) @ 0.54/1.07 ( 0.54/1.07 Y3 @ Y12)))))))))))) & 0.54/1.07 ( 0.54/1.07 ( 0.54/1.07 (!!) @ ( 0.54/1.07 ^[Y11 : b]: 0.54/1.07 (( 0.54/1.07 (!!) @ ( 0.54/1.07 ^[Y12 : b]: 0.54/1.07 (( 0.54/1.07 (( 0.54/1.07 (Y7 @ 0.54/1.07 Y12) & 0.54/1.07 (Y7 @ 0.54/1.07 Y11))) => 0.54/1.07 (( 0.54/1.07 (Y4 @ 0.54/1.07 ( 0.54/1.07 Y8 @ 0.54/1.07 Y11 @ Y12)) = 0.54/1.07 (Y10 @ 0.54/1.07 ( 0.54/1.07 Y4 @ Y11) @ 0.54/1.07 ( 0.54/1.07 Y4 @ Y12)))))))))))))) => 0.54/1.07 (( 0.54/1.07 ( 0.54/1.07 ( 0.54/1.07 (!!) @ ( 0.54/1.07 ^[Y11 : a]: 0.54/1.07 (( 0.54/1.07 (!!) @ ( 0.54/1.07 ^[Y12 : a]: 0.54/1.07 (( 0.54/1.07 (( 0.54/1.07 (Y9 @ 0.54/1.07 Y11) & 0.54/1.07 (Y9 @ 0.54/1.07 Y12))) => 0.54/1.07 (Y9 @ 0.54/1.07 ( 0.54/1.07 Y10 @ 0.54/1.07 Y11 @ Y12)))))))))) & 0.54/1.07 ( 0.54/1.07 ( 0.54/1.07 (!!) @ ( 0.54/1.07 ^[Y11 : g]: 0.54/1.07 (( 0.54/1.07 (Y5 @ 0.54/1.07 Y11) => 0.54/1.07 (Y9 @ 0.54/1.07 ( 0.54/1.07 Y4 @ 0.54/1.07 ( 0.54/1.07 Y3 @ Y11)))))))) & 0.54/1.07 ( 0.54/1.07 ( 0.54/1.07 (!!) @ ( 0.54/1.07 ^[Y11 : g]: 0.54/1.07 (( 0.54/1.07 (!!) @ ( 0.54/1.07 ^[Y12 : g]: 0.54/1.07 (( 0.54/1.07 (( 0.54/1.07 (Y5 @ 0.54/1.07 Y11) & 0.54/1.07 (Y5 @ 0.54/1.07 Y12))) => 0.54/1.07 (( 0.54/1.07 (Y4 @ 0.54/1.07 ( 0.54/1.07 Y3 @ 0.54/1.07 ( 0.54/1.07 Y6 @ 0.54/1.07 Y11 @ Y12))) = 0.54/1.07 (Y10 @ 0.54/1.07 ( 0.54/1.07 Y4 @ 0.54/1.07 ( 0.54/1.07 Y3 @ Y11)) @ 0.54/1.07 ( 0.54/1.07 Y4 @ 0.54/1.07 ( 0.54/1.07 Y3 @ Y12))))))))))))) & 0.54/1.07 ( 0.54/1.07 ( 0.54/1.07 (!!) @ ( 0.54/1.07 ^[Y11 : g]: 0.54/1.07 (( 0.54/1.07 (!!) @ ( 0.54/1.07 ^[Y12 : g]: 0.54/1.07 (( 0.54/1.07 (( 0.54/1.07 (Y5 @ 0.54/1.07 Y11) & 0.54/1.07 (Y5 @ 0.54/1.07 Y12))) => 0.54/1.07 (Y5 @ 0.54/1.07 ( 0.54/1.07 Y6 @ 0.54/1.07 Y11 @ Y12)))))))))))))))))))))))))))))))))))))))))))))))), 0.54/1.07 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl3])). 0.54/1.07 thf(zip_derived_cl5, plain, 0.54/1.07 (~ (((!!) @ (^[Y0 : b > $o]: 0.54/1.07 (((!!) @ (^[Y1 : b > b > b]: 0.54/1.07 (((!!) @ (^[Y2 : g > b]: 0.54/1.07 (((!!) @ (^[Y3 : b > a]: 0.54/1.07 (((!!) @ (^[Y4 : g > $o]: 0.54/1.07 (( 0.54/1.07 (!!) @ ( 0.54/1.07 ^[Y5 : 0.54/1.07 g > g > g]: 0.54/1.07 (( 0.54/1.07 (!!) @ ( 0.54/1.07 ^[Y6 : b > $o]: 0.54/1.07 (( 0.54/1.07 (!!) @ ( 0.54/1.07 ^[Y7 : 0.54/1.07 b > b > b]: 0.54/1.07 (( 0.54/1.07 (!!) @ ( 0.54/1.07 ^[Y8 : a > $o]: 0.54/1.07 (( 0.54/1.07 (!!) @ ( 0.54/1.07 ^[Y9 : 0.54/1.07 a > a > a]: 0.54/1.07 (( 0.54/1.07 (( 0.54/1.07 ( 0.54/1.07 ( 0.54/1.07 (!!) @ ( 0.54/1.07 ^[Y10 : g]: 0.54/1.07 (( 0.54/1.07 (Y4 @ 0.54/1.07 Y10) => 0.54/1.07 (Y6 @ 0.54/1.07 ( 0.54/1.07 Y2 @ Y10))))))) & 0.54/1.07 ( 0.54/1.07 ( 0.54/1.07 (!!) @ ( 0.54/1.07 ^[Y10 : b]: 0.54/1.07 (( 0.54/1.07 (Y6 @ 0.54/1.07 Y10) => 0.54/1.07 (Y8 @ 0.54/1.07 ( 0.54/1.07 Y3 @ Y10))))))) & 0.54/1.07 ( 0.54/1.07 ( 0.54/1.07 (!!) @ ( 0.54/1.07 ^[Y10 : a]: 0.54/1.07 (( 0.54/1.07 (!!) @ ( 0.54/1.07 ^[Y11 : a]: 0.54/1.07 (( 0.54/1.07 (( 0.54/1.07 (Y8 @ 0.54/1.07 Y11) & 0.54/1.07 (Y8 @ 0.54/1.07 Y10))) => 0.54/1.07 (Y8 @ 0.54/1.07 ( 0.54/1.07 Y9 @ 0.54/1.07 Y10 @ Y11)))))))))) & 0.54/1.07 ( 0.54/1.07 ( 0.54/1.07 (!!) @ ( 0.54/1.07 ^[Y10 : g]: 0.54/1.07 (( 0.54/1.07 (!!) @ ( 0.54/1.07 ^[Y11 : g]: 0.54/1.07 (( 0.54/1.07 (( 0.54/1.07 (Y4 @ 0.54/1.07 Y10) & 0.54/1.07 (Y4 @ 0.54/1.07 Y11))) => 0.54/1.07 (Y4 @ 0.54/1.07 ( 0.54/1.07 Y5 @ 0.54/1.07 Y10 @ Y11)))))))))) & 0.54/1.07 ( 0.54/1.07 ( 0.54/1.07 (!!) @ ( 0.54/1.07 ^[Y10 : g]: 0.54/1.07 (( 0.54/1.07 (!!) @ ( 0.54/1.07 ^[Y11 : g]: 0.54/1.07 (( 0.54/1.07 (( 0.54/1.07 (Y4 @ 0.54/1.07 Y11) & 0.54/1.07 (Y4 @ 0.54/1.07 Y10))) => 0.54/1.07 (( 0.54/1.07 (Y2 @ 0.54/1.07 ( 0.54/1.07 Y5 @ 0.54/1.07 Y10 @ Y11)) = 0.54/1.07 (Y7 @ 0.54/1.07 ( 0.54/1.07 Y2 @ Y10) @ 0.54/1.07 ( 0.54/1.07 Y2 @ Y11)))))))))))) & 0.54/1.07 ( 0.54/1.07 ( 0.54/1.07 (!!) @ ( 0.54/1.07 ^[Y10 : b]: 0.54/1.07 (( 0.54/1.07 (!!) @ ( 0.54/1.07 ^[Y11 : b]: 0.54/1.07 (( 0.54/1.07 (( 0.54/1.07 (Y6 @ 0.54/1.07 Y11) & 0.54/1.07 (Y6 @ 0.54/1.07 Y10))) => 0.54/1.07 (( 0.54/1.07 (Y3 @ 0.54/1.07 ( 0.54/1.07 Y7 @ 0.54/1.07 Y10 @ Y11)) = 0.54/1.07 (Y9 @ 0.54/1.07 ( 0.54/1.07 Y3 @ Y10) @ 0.54/1.07 ( 0.54/1.07 Y3 @ Y11)))))))))))))) => 0.54/1.07 (( 0.54/1.07 ( 0.54/1.07 ( 0.54/1.07 (!!) @ ( 0.54/1.07 ^[Y10 : a]: 0.54/1.07 (( 0.54/1.07 (!!) @ ( 0.54/1.07 ^[Y11 : a]: 0.54/1.07 (( 0.54/1.07 (( 0.54/1.07 (Y8 @ 0.54/1.07 Y10) & 0.54/1.07 (Y8 @ 0.54/1.07 Y11))) => 0.54/1.07 (Y8 @ 0.54/1.07 ( 0.54/1.07 Y9 @ 0.54/1.07 Y10 @ Y11)))))))))) & 0.54/1.07 ( 0.54/1.07 ( 0.54/1.07 (!!) @ ( 0.54/1.07 ^[Y10 : g]: 0.54/1.07 (( 0.54/1.07 (Y4 @ 0.54/1.07 Y10) => 0.54/1.07 (Y8 @ 0.54/1.07 ( 0.54/1.07 Y3 @ 0.54/1.07 ( 0.54/1.07 Y2 @ Y10)))))))) & 0.54/1.07 ( 0.54/1.07 ( 0.54/1.07 (!!) @ ( 0.54/1.07 ^[Y10 : g]: 0.54/1.07 (( 0.54/1.07 (!!) @ ( 0.54/1.07 ^[Y11 : g]: 0.54/1.07 (( 0.54/1.07 (( 0.54/1.07 (Y4 @ 0.54/1.07 Y10) & 0.54/1.07 (Y4 @ 0.54/1.07 Y11))) => 0.54/1.07 (( 0.54/1.07 (Y3 @ 0.54/1.07 ( 0.54/1.07 Y2 @ 0.54/1.07 ( 0.54/1.07 Y5 @ 0.54/1.07 Y10 @ Y11))) = 0.54/1.07 (Y9 @ 0.54/1.07 ( 0.54/1.07 Y3 @ 0.54/1.07 ( 0.54/1.07 Y2 @ Y10)) @ 0.54/1.07 ( 0.54/1.07 Y3 @ 0.54/1.07 ( 0.54/1.07 Y2 @ Y11))))))))))))) & 0.54/1.07 ( 0.54/1.07 ( 0.54/1.07 (!!) @ ( 0.54/1.07 ^[Y10 : g]: 0.54/1.07 (( 0.54/1.07 (!!) @ ( 0.54/1.07 ^[Y11 : g]: 0.54/1.07 (( 0.54/1.07 (( 0.54/1.07 (Y4 @ 0.54/1.07 Y10) & 0.54/1.07 (Y4 @ 0.54/1.07 Y11))) => 0.54/1.07 (Y4 @ 0.54/1.07 ( 0.54/1.07 Y5 @ 0.54/1.07 Y10 @ Y11))))))))))))))))))))))))))))))))))))))))))))), 0.54/1.07 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl4])). 0.54/1.07 thf(zip_derived_cl6, plain, 0.54/1.07 (~ (((!!) @ (^[Y0 : b > b > b]: 0.54/1.07 (((!!) @ (^[Y1 : g > b]: 0.54/1.07 (((!!) @ (^[Y2 : b > a]: 0.54/1.07 (((!!) @ (^[Y3 : g > $o]: 0.54/1.07 (((!!) @ (^[Y4 : 0.54/1.07 g > g > g]: 0.54/1.07 (( 0.54/1.07 (!!) @ ( 0.54/1.07 ^[Y5 : b > $o]: 0.54/1.07 (( 0.54/1.07 (!!) @ ( 0.54/1.07 ^[Y6 : 0.54/1.07 b > b > b]: 0.54/1.07 (( 0.54/1.07 (!!) @ ( 0.54/1.07 ^[Y7 : a > $o]: 0.54/1.07 (( 0.54/1.07 (!!) @ ( 0.54/1.07 ^[Y8 : 0.54/1.07 a > a > a]: 0.54/1.07 (( 0.54/1.07 (( 0.54/1.07 ( 0.54/1.07 ( 0.54/1.07 (!!) @ ( 0.54/1.07 ^[Y9 : g]: 0.54/1.07 (( 0.54/1.07 (Y3 @ 0.54/1.07 Y9) => 0.54/1.07 (Y5 @ 0.54/1.07 ( 0.54/1.07 Y1 @ Y9))))))) & 0.54/1.07 ( 0.54/1.07 ( 0.54/1.07 (!!) @ ( 0.54/1.07 ^[Y9 : b]: 0.54/1.07 (( 0.54/1.07 (Y5 @ 0.54/1.07 Y9) => 0.54/1.07 (Y7 @ 0.54/1.07 ( 0.54/1.07 Y2 @ Y9))))))) & 0.54/1.07 ( 0.54/1.07 ( 0.54/1.07 (!!) @ ( 0.54/1.07 ^[Y9 : a]: 0.54/1.07 (( 0.54/1.07 (!!) @ ( 0.54/1.07 ^[Y10 : a]: 0.54/1.07 (( 0.54/1.07 (( 0.54/1.07 (Y7 @ 0.54/1.07 Y10) & 0.54/1.07 (Y7 @ Y9))) => 0.54/1.07 (Y7 @ 0.54/1.07 ( 0.54/1.07 Y8 @ 0.54/1.07 Y9 @ Y10)))))))))) & 0.54/1.07 ( 0.54/1.07 ( 0.54/1.07 (!!) @ ( 0.54/1.07 ^[Y9 : g]: 0.54/1.07 (( 0.54/1.07 (!!) @ ( 0.54/1.07 ^[Y10 : g]: 0.54/1.07 (( 0.54/1.07 (( 0.54/1.07 (Y3 @ 0.54/1.07 Y9) & 0.54/1.07 (Y3 @ 0.54/1.07 Y10))) => 0.54/1.07 (Y3 @ 0.54/1.07 ( 0.54/1.07 Y4 @ 0.54/1.07 Y9 @ Y10)))))))))) & 0.54/1.07 ( 0.54/1.07 ( 0.54/1.07 (!!) @ ( 0.54/1.07 ^[Y9 : g]: 0.54/1.07 (( 0.54/1.07 (!!) @ ( 0.54/1.07 ^[Y10 : g]: 0.54/1.07 (( 0.54/1.07 (( 0.54/1.07 (Y3 @ 0.54/1.07 Y10) & 0.54/1.07 (Y3 @ Y9))) => 0.54/1.07 (( 0.54/1.07 (Y1 @ 0.54/1.07 ( 0.54/1.07 Y4 @ 0.54/1.07 Y9 @ Y10)) = 0.54/1.07 (Y6 @ 0.54/1.07 ( 0.54/1.07 Y1 @ Y9) @ 0.54/1.07 ( 0.54/1.07 Y1 @ Y10)))))))))))) & 0.54/1.07 ( 0.54/1.07 ( 0.54/1.07 (!!) @ ( 0.54/1.07 ^[Y9 : b]: 0.54/1.07 (( 0.54/1.07 (!!) @ ( 0.54/1.07 ^[Y10 : b]: 0.54/1.07 (( 0.54/1.07 (( 0.54/1.07 (Y5 @ 0.54/1.07 Y10) & 0.54/1.07 (Y5 @ Y9))) => 0.54/1.07 (( 0.54/1.07 (Y2 @ 0.54/1.07 ( 0.54/1.07 Y6 @ 0.54/1.07 Y9 @ Y10)) = 0.54/1.07 (Y8 @ 0.54/1.07 ( 0.54/1.07 Y2 @ Y9) @ 0.54/1.07 ( 0.54/1.07 Y2 @ Y10)))))))))))))) => 0.54/1.07 (( 0.54/1.07 ( 0.54/1.07 ( 0.54/1.07 (!!) @ ( 0.54/1.07 ^[Y9 : a]: 0.54/1.07 (( 0.54/1.07 (!!) @ ( 0.54/1.07 ^[Y10 : a]: 0.54/1.07 (( 0.54/1.07 (( 0.54/1.07 (Y7 @ 0.54/1.07 Y9) & 0.54/1.07 (Y7 @ 0.54/1.07 Y10))) => 0.54/1.07 (Y7 @ 0.54/1.07 ( 0.54/1.07 Y8 @ 0.54/1.07 Y9 @ Y10)))))))))) & 0.54/1.07 ( 0.54/1.07 ( 0.54/1.07 (!!) @ ( 0.54/1.07 ^[Y9 : g]: 0.54/1.07 (( 0.54/1.07 (Y3 @ 0.54/1.07 Y9) => 0.54/1.07 (Y7 @ 0.54/1.07 ( 0.54/1.07 Y2 @ 0.54/1.07 ( 0.54/1.07 Y1 @ Y9)))))))) & 0.54/1.07 ( 0.54/1.07 ( 0.54/1.07 (!!) @ ( 0.54/1.07 ^[Y9 : g]: 0.54/1.07 (( 0.54/1.07 (!!) @ ( 0.54/1.07 ^[Y10 : g]: 0.54/1.07 (( 0.54/1.07 (( 0.54/1.07 (Y3 @ 0.54/1.07 Y9) & 0.54/1.07 (Y3 @ 0.54/1.07 Y10))) => 0.54/1.07 (( 0.54/1.07 (Y2 @ 0.54/1.07 ( 0.54/1.07 Y1 @ 0.54/1.07 ( 0.54/1.07 Y4 @ 0.54/1.07 Y9 @ Y10))) = 0.54/1.07 (Y8 @ 0.54/1.07 ( 0.54/1.07 Y2 @ 0.54/1.07 ( 0.54/1.07 Y1 @ Y9)) @ 0.54/1.07 ( 0.54/1.07 Y2 @ 0.54/1.07 ( 0.54/1.07 Y1 @ Y10))))))))))))) & 0.54/1.07 ( 0.54/1.07 ( 0.54/1.07 (!!) @ ( 0.54/1.07 ^[Y9 : g]: 0.54/1.07 (( 0.54/1.07 (!!) @ ( 0.54/1.07 ^[Y10 : g]: 0.54/1.07 (( 0.54/1.07 (( 0.54/1.07 (Y3 @ 0.54/1.07 Y9) & 0.54/1.07 (Y3 @ 0.54/1.07 Y10))) => 0.54/1.07 (Y3 @ 0.54/1.07 ( 0.54/1.07 Y4 @ 0.54/1.07 Y9 @ Y10)))))))))))))))))))))))))))))))))))))))))), 0.54/1.07 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl5])). 0.54/1.07 thf(zip_derived_cl7, plain, 0.54/1.07 (~ (((!!) @ (^[Y0 : g > b]: 0.54/1.07 (((!!) @ (^[Y1 : b > a]: 0.54/1.07 (((!!) @ (^[Y2 : g > $o]: 0.54/1.07 (((!!) @ (^[Y3 : g > g > g]: 0.54/1.07 (((!!) @ (^[Y4 : b > $o]: 0.54/1.07 (( 0.54/1.07 (!!) @ ( 0.54/1.07 ^[Y5 : 0.54/1.07 b > b > b]: 0.54/1.07 (( 0.54/1.07 (!!) @ ( 0.54/1.07 ^[Y6 : a > $o]: 0.54/1.07 (( 0.54/1.07 (!!) @ ( 0.54/1.07 ^[Y7 : 0.54/1.07 a > a > a]: 0.54/1.07 (( 0.54/1.07 (( 0.54/1.07 ( 0.54/1.07 ( 0.54/1.07 (!!) @ ( 0.54/1.07 ^[Y8 : g]: 0.54/1.07 (( 0.54/1.07 (Y2 @ 0.54/1.07 Y8) => 0.54/1.07 (Y4 @ 0.54/1.07 ( 0.54/1.07 Y0 @ Y8))))))) & 0.54/1.07 ( 0.54/1.07 ( 0.54/1.07 (!!) @ ( 0.54/1.07 ^[Y8 : b]: 0.54/1.07 (( 0.54/1.07 (Y4 @ 0.54/1.07 Y8) => 0.54/1.07 (Y6 @ 0.54/1.07 ( 0.54/1.07 Y1 @ Y8))))))) & 0.54/1.07 ( 0.54/1.07 ( 0.54/1.07 (!!) @ ( 0.54/1.07 ^[Y8 : a]: 0.54/1.07 (( 0.54/1.07 (!!) @ ( 0.54/1.07 ^[Y9 : a]: 0.54/1.07 (( 0.54/1.07 (( 0.54/1.07 (Y6 @ 0.54/1.07 Y9) & 0.54/1.07 (Y6 @ Y8))) => 0.54/1.07 (Y6 @ 0.54/1.07 ( 0.54/1.07 Y7 @ 0.54/1.07 Y8 @ Y9)))))))))) & 0.54/1.07 ( 0.54/1.07 ( 0.54/1.07 (!!) @ ( 0.54/1.07 ^[Y8 : g]: 0.54/1.07 (( 0.54/1.07 (!!) @ ( 0.54/1.07 ^[Y9 : g]: 0.54/1.07 (( 0.54/1.07 (( 0.54/1.07 (Y2 @ 0.54/1.07 Y8) & 0.54/1.07 (Y2 @ Y9))) => 0.54/1.07 (Y2 @ 0.54/1.07 ( 0.54/1.07 Y3 @ 0.54/1.07 Y8 @ Y9)))))))))) & 0.54/1.07 ( 0.54/1.07 ( 0.54/1.07 (!!) @ ( 0.54/1.07 ^[Y8 : g]: 0.54/1.07 (( 0.54/1.07 (!!) @ ( 0.54/1.07 ^[Y9 : g]: 0.54/1.07 (( 0.54/1.07 (( 0.54/1.07 (Y2 @ 0.54/1.07 Y9) & 0.54/1.07 (Y2 @ Y8))) => 0.54/1.07 (( 0.54/1.07 (Y0 @ 0.54/1.07 ( 0.54/1.07 Y3 @ 0.54/1.07 Y8 @ Y9)) = 0.54/1.07 (Y5 @ 0.54/1.07 ( 0.54/1.07 Y0 @ Y8) @ 0.54/1.07 ( 0.54/1.07 Y0 @ Y9)))))))))))) & 0.54/1.07 ( 0.54/1.07 ( 0.54/1.07 (!!) @ ( 0.54/1.07 ^[Y8 : b]: 0.54/1.07 (( 0.54/1.07 (!!) @ ( 0.54/1.07 ^[Y9 : b]: 0.54/1.07 (( 0.54/1.07 (( 0.54/1.07 (Y4 @ 0.54/1.07 Y9) & 0.54/1.07 (Y4 @ Y8))) => 0.54/1.07 (( 0.54/1.07 (Y1 @ 0.54/1.07 ( 0.54/1.07 Y5 @ 0.54/1.07 Y8 @ Y9)) = 0.54/1.07 (Y7 @ 0.54/1.07 ( 0.54/1.07 Y1 @ Y8) @ 0.54/1.07 ( 0.54/1.07 Y1 @ Y9)))))))))))))) => 0.54/1.07 (( 0.54/1.07 ( 0.54/1.07 ( 0.54/1.07 (!!) @ ( 0.54/1.07 ^[Y8 : a]: 0.54/1.07 (( 0.54/1.07 (!!) @ ( 0.54/1.07 ^[Y9 : a]: 0.54/1.07 (( 0.54/1.07 (( 0.54/1.07 (Y6 @ 0.54/1.07 Y8) & 0.54/1.07 (Y6 @ Y9))) => 0.54/1.07 (Y6 @ 0.54/1.07 ( 0.54/1.07 Y7 @ 0.54/1.07 Y8 @ Y9)))))))))) & 0.54/1.07 ( 0.54/1.07 ( 0.54/1.07 (!!) @ ( 0.54/1.07 ^[Y8 : g]: 0.54/1.07 (( 0.54/1.07 (Y2 @ 0.54/1.07 Y8) => 0.54/1.07 (Y6 @ 0.54/1.07 ( 0.54/1.07 Y1 @ 0.54/1.07 ( 0.54/1.07 Y0 @ Y8)))))))) & 0.54/1.07 ( 0.54/1.07 ( 0.54/1.07 (!!) @ ( 0.54/1.07 ^[Y8 : g]: 0.54/1.07 (( 0.54/1.07 (!!) @ ( 0.54/1.07 ^[Y9 : g]: 0.54/1.07 (( 0.54/1.07 (( 0.54/1.07 (Y2 @ 0.54/1.07 Y8) & 0.54/1.07 (Y2 @ Y9))) => 0.54/1.07 (( 0.54/1.07 (Y1 @ 0.54/1.07 ( 0.54/1.07 Y0 @ 0.54/1.07 ( 0.54/1.07 Y3 @ 0.54/1.07 Y8 @ Y9))) = 0.54/1.07 (Y7 @ 0.54/1.07 ( 0.54/1.07 Y1 @ 0.54/1.07 ( 0.54/1.07 Y0 @ Y8)) @ 0.54/1.07 ( 0.54/1.07 Y1 @ 0.54/1.07 ( 0.54/1.07 Y0 @ Y9))))))))))))) & 0.54/1.07 ( 0.54/1.07 ( 0.54/1.07 (!!) @ ( 0.54/1.07 ^[Y8 : g]: 0.54/1.07 (( 0.54/1.07 (!!) @ ( 0.54/1.07 ^[Y9 : g]: 0.54/1.07 (( 0.54/1.07 (( 0.54/1.07 (Y2 @ 0.54/1.07 Y8) & 0.54/1.07 (Y2 @ Y9))) => 0.54/1.07 (Y2 @ 0.54/1.07 ( 0.54/1.07 Y3 @ 0.54/1.07 Y8 @ Y9))))))))))))))))))))))))))))))))))))))), 0.54/1.07 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl6])). 0.54/1.07 thf(zip_derived_cl8, plain, 0.54/1.07 (~ (((!!) @ (^[Y0 : b > a]: 0.54/1.07 (((!!) @ (^[Y1 : g > $o]: 0.54/1.07 (((!!) @ (^[Y2 : g > g > g]: 0.54/1.07 (((!!) @ (^[Y3 : b > $o]: 0.54/1.07 (((!!) @ (^[Y4 : 0.54/1.07 b > b > b]: 0.54/1.07 (( 0.54/1.07 (!!) @ ( 0.54/1.07 ^[Y5 : a > $o]: 0.54/1.07 (( 0.54/1.07 (!!) @ ( 0.54/1.07 ^[Y6 : 0.54/1.07 a > a > a]: 0.54/1.07 (( 0.54/1.07 (( 0.54/1.07 ( 0.54/1.07 ( 0.54/1.07 (!!) @ ( 0.54/1.07 ^[Y7 : g]: 0.54/1.07 (( 0.54/1.07 (Y1 @ 0.54/1.07 Y7) => 0.54/1.07 (Y3 @ 0.54/1.07 ( 0.54/1.07 '#sk7' @ 0.54/1.07 Y7))))))) & 0.54/1.07 ( 0.54/1.07 ( 0.54/1.07 (!!) @ ( 0.54/1.07 ^[Y7 : b]: 0.54/1.07 (( 0.54/1.07 (Y3 @ 0.54/1.07 Y7) => 0.54/1.07 (Y5 @ 0.54/1.07 ( 0.54/1.07 Y0 @ Y7))))))) & 0.54/1.07 ( 0.54/1.07 ( 0.54/1.07 (!!) @ ( 0.54/1.07 ^[Y7 : a]: 0.54/1.07 (( 0.54/1.07 (!!) @ ( 0.54/1.07 ^[Y8 : a]: 0.54/1.07 (( 0.54/1.07 (( 0.54/1.07 (Y5 @ 0.54/1.07 Y8) & 0.54/1.07 (Y5 @ Y7))) => 0.54/1.07 (Y5 @ 0.54/1.07 ( 0.54/1.07 Y6 @ 0.54/1.07 Y7 @ Y8)))))))))) & 0.54/1.07 ( 0.54/1.07 ( 0.54/1.07 (!!) @ ( 0.54/1.07 ^[Y7 : g]: 0.54/1.07 (( 0.54/1.07 (!!) @ ( 0.54/1.07 ^[Y8 : g]: 0.54/1.07 (( 0.54/1.07 (( 0.54/1.07 (Y1 @ 0.54/1.07 Y7) & 0.54/1.07 (Y1 @ Y8))) => 0.54/1.07 (Y1 @ 0.54/1.07 ( 0.54/1.07 Y2 @ 0.54/1.07 Y7 @ Y8)))))))))) & 0.54/1.07 ( 0.54/1.07 ( 0.54/1.07 (!!) @ ( 0.54/1.07 ^[Y7 : g]: 0.54/1.07 (( 0.54/1.07 (!!) @ ( 0.54/1.07 ^[Y8 : g]: 0.54/1.07 (( 0.54/1.07 (( 0.54/1.07 (Y1 @ 0.54/1.07 Y8) & 0.54/1.07 (Y1 @ Y7))) => 0.54/1.07 (( 0.54/1.07 ('#sk7' @ 0.54/1.07 ( 0.54/1.07 Y2 @ 0.54/1.07 Y7 @ Y8)) = 0.54/1.07 (Y4 @ 0.54/1.07 ( 0.54/1.07 '#sk7' @ 0.54/1.07 Y7) @ 0.54/1.07 ( 0.54/1.07 '#sk7' @ 0.54/1.07 Y8)))))))))))) & 0.54/1.07 ( 0.54/1.07 ( 0.54/1.07 (!!) @ ( 0.54/1.07 ^[Y7 : b]: 0.54/1.07 (( 0.54/1.07 (!!) @ ( 0.54/1.07 ^[Y8 : b]: 0.54/1.07 (( 0.54/1.07 (( 0.54/1.07 (Y3 @ 0.54/1.07 Y8) & 0.54/1.07 (Y3 @ Y7))) => 0.54/1.07 (( 0.54/1.07 (Y0 @ 0.54/1.07 ( 0.54/1.07 Y4 @ 0.54/1.07 Y7 @ Y8)) = 0.54/1.07 (Y6 @ 0.54/1.07 ( 0.54/1.07 Y0 @ Y7) @ 0.54/1.07 ( 0.54/1.07 Y0 @ Y8)))))))))))))) => 0.54/1.07 (( 0.54/1.07 ( 0.54/1.07 ( 0.54/1.07 (!!) @ ( 0.54/1.07 ^[Y7 : a]: 0.54/1.07 (( 0.54/1.07 (!!) @ ( 0.54/1.07 ^[Y8 : a]: 0.54/1.07 (( 0.54/1.07 (( 0.54/1.07 (Y5 @ 0.54/1.07 Y7) & 0.54/1.07 (Y5 @ Y8))) => 0.54/1.07 (Y5 @ 0.54/1.07 ( 0.54/1.07 Y6 @ 0.54/1.07 Y7 @ Y8)))))))))) & 0.54/1.07 ( 0.54/1.07 ( 0.54/1.07 (!!) @ ( 0.54/1.07 ^[Y7 : g]: 0.54/1.07 (( 0.54/1.07 (Y1 @ 0.54/1.07 Y7) => 0.54/1.07 (Y5 @ 0.54/1.07 ( 0.54/1.07 Y0 @ 0.54/1.07 ( 0.54/1.07 '#sk7' @ 0.54/1.07 Y7)))))))) & 0.54/1.07 ( 0.54/1.07 ( 0.54/1.07 (!!) @ ( 0.54/1.07 ^[Y7 : g]: 0.54/1.07 (( 0.54/1.07 (!!) @ ( 0.54/1.07 ^[Y8 : g]: 0.54/1.07 (( 0.54/1.07 (( 0.54/1.07 (Y1 @ 0.54/1.07 Y7) & 0.54/1.07 (Y1 @ Y8))) => 0.54/1.07 (( 0.54/1.07 (Y0 @ 0.54/1.07 ( 0.54/1.07 '#sk7' @ 0.54/1.07 ( 0.54/1.07 Y2 @ 0.54/1.07 Y7 @ Y8))) = 0.54/1.07 (Y6 @ 0.54/1.07 ( 0.54/1.07 Y0 @ 0.54/1.07 ( 0.54/1.07 '#sk7' @ 0.54/1.07 Y7)) @ 0.54/1.07 ( 0.54/1.07 Y0 @ 0.54/1.07 ( 0.54/1.07 '#sk7' @ 0.54/1.07 Y8))))))))))))) & 0.54/1.07 ( 0.54/1.07 ( 0.54/1.07 (!!) @ ( 0.54/1.07 ^[Y7 : g]: 0.54/1.07 (( 0.54/1.07 (!!) @ ( 0.54/1.07 ^[Y8 : g]: 0.54/1.07 (( 0.54/1.07 (( 0.54/1.07 (Y1 @ 0.54/1.07 Y7) & 0.54/1.07 (Y1 @ Y8))) => 0.54/1.07 (Y1 @ 0.54/1.07 ( 0.54/1.07 Y2 @ 0.54/1.07 Y7 @ Y8)))))))))))))))))))))))))))))))))))), 0.54/1.07 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl7])). 0.54/1.07 thf(zip_derived_cl9, plain, 0.54/1.07 (~ (((!!) @ (^[Y0 : g > $o]: 0.54/1.07 (((!!) @ (^[Y1 : g > g > g]: 0.54/1.07 (((!!) @ (^[Y2 : b > $o]: 0.54/1.07 (((!!) @ (^[Y3 : b > b > b]: 0.54/1.07 (((!!) @ (^[Y4 : a > $o]: 0.54/1.07 (( 0.54/1.07 (!!) @ ( 0.54/1.07 ^[Y5 : 0.54/1.07 a > a > a]: 0.54/1.07 (( 0.54/1.07 (( 0.54/1.07 ( 0.54/1.07 ( 0.54/1.07 (!!) @ ( 0.54/1.07 ^[Y6 : g]: 0.54/1.07 (( 0.54/1.07 (Y0 @ 0.54/1.07 Y6) => 0.54/1.07 (Y2 @ 0.54/1.07 ( 0.54/1.07 '#sk7' @ 0.54/1.07 Y6))))))) & 0.54/1.07 ( 0.54/1.07 ( 0.54/1.07 (!!) @ ( 0.54/1.07 ^[Y6 : b]: 0.54/1.07 (( 0.54/1.07 (Y2 @ 0.54/1.07 Y6) => 0.54/1.07 (Y4 @ 0.54/1.07 ( 0.54/1.07 '#sk8' @ 0.54/1.07 Y6))))))) & 0.54/1.07 ( 0.54/1.07 ( 0.54/1.07 (!!) @ ( 0.54/1.07 ^[Y6 : a]: 0.54/1.07 (( 0.54/1.07 (!!) @ ( 0.54/1.07 ^[Y7 : a]: 0.54/1.07 (( 0.54/1.07 (( 0.54/1.07 (Y4 @ 0.54/1.07 Y7) & 0.54/1.07 (Y4 @ Y6))) => 0.54/1.07 (Y4 @ 0.54/1.07 ( 0.54/1.07 Y5 @ 0.54/1.07 Y6 @ Y7)))))))))) & 0.54/1.07 ( 0.54/1.07 ( 0.54/1.07 (!!) @ ( 0.54/1.07 ^[Y6 : g]: 0.54/1.07 (( 0.54/1.07 (!!) @ ( 0.54/1.07 ^[Y7 : g]: 0.54/1.07 (( 0.54/1.07 (( 0.54/1.07 (Y0 @ 0.54/1.07 Y6) & 0.54/1.07 (Y0 @ Y7))) => 0.54/1.07 (Y0 @ 0.54/1.07 ( 0.54/1.07 Y1 @ 0.54/1.07 Y6 @ Y7)))))))))) & 0.54/1.07 ( 0.54/1.07 ( 0.54/1.07 (!!) @ ( 0.54/1.07 ^[Y6 : g]: 0.54/1.07 (( 0.54/1.07 (!!) @ ( 0.54/1.07 ^[Y7 : g]: 0.54/1.07 (( 0.54/1.07 (( 0.54/1.07 (Y0 @ 0.54/1.07 Y7) & 0.54/1.07 (Y0 @ Y6))) => 0.54/1.07 (( 0.54/1.07 ('#sk7' @ 0.54/1.07 ( 0.54/1.07 Y1 @ 0.54/1.07 Y6 @ Y7)) = 0.54/1.07 (Y3 @ 0.54/1.07 ( 0.54/1.07 '#sk7' @ 0.54/1.07 Y6) @ 0.54/1.07 ( 0.54/1.07 '#sk7' @ 0.54/1.07 Y7)))))))))))) & 0.54/1.07 ( 0.54/1.07 ( 0.54/1.07 (!!) @ ( 0.54/1.07 ^[Y6 : b]: 0.54/1.07 (( 0.54/1.07 (!!) @ ( 0.54/1.07 ^[Y7 : b]: 0.54/1.07 (( 0.54/1.07 (( 0.54/1.07 (Y2 @ 0.54/1.07 Y7) & 0.54/1.07 (Y2 @ Y6))) => 0.54/1.07 (( 0.54/1.07 ('#sk8' @ 0.54/1.07 ( 0.54/1.07 Y3 @ 0.54/1.07 Y6 @ Y7)) = 0.54/1.07 (Y5 @ 0.54/1.07 ( 0.54/1.07 '#sk8' @ 0.54/1.07 Y6) @ 0.54/1.07 ( 0.54/1.07 '#sk8' @ 0.54/1.07 Y7)))))))))))))) => 0.54/1.07 (( 0.54/1.07 ( 0.54/1.07 ( 0.54/1.07 (!!) @ ( 0.54/1.07 ^[Y6 : a]: 0.54/1.07 (( 0.54/1.07 (!!) @ ( 0.54/1.07 ^[Y7 : a]: 0.54/1.07 (( 0.54/1.07 (( 0.54/1.07 (Y4 @ 0.54/1.07 Y6) & 0.54/1.07 (Y4 @ Y7))) => 0.54/1.07 (Y4 @ 0.54/1.07 ( 0.54/1.07 Y5 @ 0.54/1.07 Y6 @ Y7)))))))))) & 0.54/1.07 ( 0.54/1.07 ( 0.54/1.07 (!!) @ ( 0.54/1.07 ^[Y6 : g]: 0.54/1.07 (( 0.54/1.07 (Y0 @ 0.54/1.07 Y6) => 0.54/1.07 (Y4 @ 0.54/1.07 ( 0.54/1.07 '#sk8' @ 0.54/1.07 ( 0.54/1.07 '#sk7' @ 0.54/1.07 Y6)))))))) & 0.54/1.07 ( 0.54/1.07 ( 0.54/1.07 (!!) @ ( 0.54/1.07 ^[Y6 : g]: 0.54/1.07 (( 0.54/1.07 (!!) @ ( 0.54/1.07 ^[Y7 : g]: 0.54/1.07 (( 0.54/1.07 (( 0.54/1.07 (Y0 @ 0.54/1.07 Y6) & 0.54/1.07 (Y0 @ Y7))) => 0.54/1.07 (( 0.54/1.07 ('#sk8' @ 0.54/1.07 ( 0.54/1.07 '#sk7' @ 0.54/1.07 ( 0.54/1.07 Y1 @ 0.54/1.07 Y6 @ Y7))) = 0.54/1.07 (Y5 @ 0.54/1.07 ( 0.54/1.07 '#sk8' @ 0.54/1.07 ( 0.54/1.07 '#sk7' @ 0.54/1.07 Y6)) @ 0.54/1.07 ( 0.54/1.07 '#sk8' @ 0.54/1.07 ( 0.54/1.07 '#sk7' @ 0.54/1.07 Y7))))))))))))) & 0.54/1.07 ( 0.54/1.07 ( 0.54/1.07 (!!) @ ( 0.54/1.07 ^[Y6 : g]: 0.54/1.07 (( 0.54/1.07 (!!) @ ( 0.54/1.07 ^[Y7 : g]: 0.54/1.07 (( 0.54/1.07 (( 0.54/1.07 (Y0 @ 0.54/1.07 Y6) & 0.54/1.07 (Y0 @ Y7))) => 0.54/1.07 (Y0 @ 0.54/1.07 ( 0.54/1.07 Y1 @ 0.54/1.07 Y6 @ Y7))))))))))))))))))))))))))))))))), 0.54/1.07 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl8])). 0.54/1.07 thf(zip_derived_cl10, plain, 0.54/1.07 (~ (((!!) @ (^[Y0 : g > g > g]: 0.54/1.07 (((!!) @ (^[Y1 : b > $o]: 0.54/1.07 (((!!) @ (^[Y2 : b > b > b]: 0.54/1.07 (((!!) @ (^[Y3 : a > $o]: 0.54/1.07 (((!!) @ (^[Y4 : 0.54/1.07 a > a > a]: 0.54/1.07 (( 0.54/1.07 (( 0.54/1.07 ( 0.54/1.07 ( 0.54/1.07 (!!) @ ( 0.54/1.07 ^[Y5 : g]: 0.54/1.07 (( 0.54/1.07 ('#sk9' @ 0.54/1.07 Y5) => 0.54/1.07 (Y1 @ 0.54/1.07 ( 0.54/1.07 '#sk7' @ 0.54/1.07 Y5))))))) & 0.54/1.07 ( 0.54/1.07 ( 0.54/1.07 (!!) @ ( 0.54/1.07 ^[Y5 : b]: 0.54/1.07 (( 0.54/1.07 (Y1 @ 0.54/1.07 Y5) => 0.54/1.07 (Y3 @ 0.54/1.07 ( 0.54/1.07 '#sk8' @ 0.54/1.07 Y5))))))) & 0.54/1.07 ( 0.54/1.07 ( 0.54/1.07 (!!) @ ( 0.54/1.07 ^[Y5 : a]: 0.54/1.07 (( 0.54/1.07 (!!) @ ( 0.54/1.07 ^[Y6 : a]: 0.54/1.07 (( 0.54/1.07 (( 0.54/1.07 (Y3 @ 0.54/1.07 Y6) & 0.54/1.07 (Y3 @ Y5))) => 0.54/1.07 (Y3 @ 0.54/1.07 ( 0.54/1.07 Y4 @ 0.54/1.07 Y5 @ Y6)))))))))) & 0.54/1.07 ( 0.54/1.07 ( 0.54/1.07 (!!) @ ( 0.54/1.07 ^[Y5 : g]: 0.54/1.07 (( 0.54/1.07 (!!) @ ( 0.54/1.07 ^[Y6 : g]: 0.54/1.07 (( 0.54/1.07 (( 0.54/1.07 ('#sk9' @ 0.54/1.07 Y5) & 0.54/1.07 ('#sk9' @ 0.54/1.07 Y6))) => 0.54/1.07 ('#sk9' @ 0.54/1.07 ( 0.54/1.07 Y0 @ 0.54/1.07 Y5 @ Y6)))))))))) & 0.54/1.07 ( 0.54/1.07 ( 0.54/1.07 (!!) @ ( 0.54/1.07 ^[Y5 : g]: 0.54/1.07 (( 0.54/1.07 (!!) @ ( 0.54/1.07 ^[Y6 : g]: 0.54/1.07 (( 0.54/1.07 (( 0.54/1.07 ('#sk9' @ 0.54/1.07 Y6) & 0.54/1.07 ('#sk9' @ 0.54/1.07 Y5))) => 0.54/1.07 (( 0.54/1.07 ('#sk7' @ 0.54/1.07 ( 0.54/1.07 Y0 @ 0.54/1.07 Y5 @ Y6)) = 0.54/1.07 (Y2 @ 0.54/1.07 ( 0.54/1.07 '#sk7' @ 0.54/1.07 Y5) @ 0.54/1.07 ( 0.54/1.07 '#sk7' @ 0.54/1.07 Y6)))))))))))) & 0.54/1.07 ( 0.54/1.07 ( 0.54/1.07 (!!) @ ( 0.54/1.07 ^[Y5 : b]: 0.54/1.07 (( 0.54/1.07 (!!) @ ( 0.54/1.07 ^[Y6 : b]: 0.54/1.07 (( 0.54/1.07 (( 0.54/1.07 (Y1 @ 0.54/1.07 Y6) & 0.54/1.07 (Y1 @ Y5))) => 0.54/1.07 (( 0.54/1.07 ('#sk8' @ 0.54/1.07 ( 0.54/1.07 Y2 @ 0.54/1.07 Y5 @ Y6)) = 0.54/1.07 (Y4 @ 0.54/1.07 ( 0.54/1.07 '#sk8' @ 0.54/1.07 Y5) @ 0.54/1.07 ( 0.54/1.07 '#sk8' @ 0.54/1.07 Y6)))))))))))))) => 0.54/1.07 (( 0.54/1.07 ( 0.54/1.07 ( 0.54/1.07 (!!) @ ( 0.54/1.07 ^[Y5 : a]: 0.54/1.07 (( 0.54/1.07 (!!) @ ( 0.54/1.07 ^[Y6 : a]: 0.54/1.07 (( 0.54/1.07 (( 0.54/1.07 (Y3 @ 0.54/1.07 Y5) & 0.54/1.07 (Y3 @ Y6))) => 0.54/1.07 (Y3 @ 0.54/1.07 ( 0.54/1.07 Y4 @ 0.54/1.07 Y5 @ Y6)))))))))) & 0.54/1.07 ( 0.54/1.07 ( 0.54/1.07 (!!) @ ( 0.54/1.07 ^[Y5 : g]: 0.54/1.07 (( 0.54/1.07 ('#sk9' @ 0.54/1.07 Y5) => 0.54/1.07 (Y3 @ 0.54/1.07 ( 0.54/1.07 '#sk8' @ 0.54/1.07 ( 0.54/1.07 '#sk7' @ 0.54/1.07 Y5)))))))) & 0.54/1.07 ( 0.54/1.07 ( 0.54/1.07 (!!) @ ( 0.54/1.07 ^[Y5 : g]: 0.54/1.07 (( 0.54/1.07 (!!) @ ( 0.54/1.07 ^[Y6 : g]: 0.54/1.07 (( 0.54/1.07 (( 0.54/1.07 ('#sk9' @ 0.54/1.07 Y5) & 0.54/1.07 ('#sk9' @ 0.54/1.07 Y6))) => 0.54/1.07 (( 0.54/1.07 ('#sk8' @ 0.54/1.07 ( 0.54/1.07 '#sk7' @ 0.54/1.07 ( 0.54/1.07 Y0 @ 0.54/1.07 Y5 @ Y6))) = 0.54/1.07 (Y4 @ 0.54/1.07 ( 0.54/1.07 '#sk8' @ 0.54/1.07 ( 0.54/1.07 '#sk7' @ 0.54/1.07 Y5)) @ 0.54/1.07 ( 0.54/1.07 '#sk8' @ 0.54/1.07 ( 0.54/1.07 '#sk7' @ 0.54/1.07 Y6))))))))))))) & 0.54/1.07 ( 0.54/1.07 ( 0.54/1.07 (!!) @ ( 0.54/1.07 ^[Y5 : g]: 0.54/1.07 (( 0.54/1.07 (!!) @ ( 0.54/1.07 ^[Y6 : g]: 0.54/1.07 (( 0.54/1.07 (( 0.54/1.07 ('#sk9' @ 0.54/1.07 Y5) & 0.54/1.07 ('#sk9' @ 0.54/1.07 Y6))) => 0.54/1.07 ('#sk9' @ 0.54/1.07 ( 0.54/1.07 Y0 @ 0.54/1.07 Y5 @ Y6)))))))))))))))))))))))))))))), 0.54/1.07 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl9])). 0.54/1.07 thf(zip_derived_cl11, plain, 0.54/1.07 (~ (((!!) @ (^[Y0 : b > $o]: 0.54/1.07 (((!!) @ (^[Y1 : b > b > b]: 0.54/1.07 (((!!) @ (^[Y2 : a > $o]: 0.54/1.07 (((!!) @ (^[Y3 : a > a > a]: 0.54/1.07 (((((((!!) @ ( 0.54/1.07 ^[Y4 : g]: 0.54/1.07 ((('#sk9' @ 0.54/1.07 Y4) => 0.54/1.07 (Y0 @ 0.54/1.07 ('#sk7' @ Y4))))))) & 0.54/1.07 (((!!) @ ( 0.54/1.07 ^[Y4 : b]: 0.54/1.07 (((Y0 @ Y4) => 0.54/1.07 (Y2 @ 0.54/1.07 ('#sk8' @ Y4))))))) & 0.54/1.07 (((!!) @ ( 0.54/1.07 ^[Y4 : a]: 0.54/1.07 (((!!) @ ( 0.54/1.07 ^[Y5 : a]: 0.54/1.07 (( 0.54/1.07 (( 0.54/1.07 (Y2 @ 0.54/1.07 Y5) & 0.54/1.07 (Y2 @ Y4))) => 0.54/1.07 (Y2 @ 0.54/1.07 ( 0.54/1.07 Y3 @ 0.54/1.07 Y4 @ Y5)))))))))) & 0.54/1.07 (((!!) @ ( 0.54/1.07 ^[Y4 : g]: 0.54/1.07 (((!!) @ ( 0.54/1.07 ^[Y5 : g]: 0.54/1.07 (( 0.54/1.07 (( 0.54/1.07 ('#sk9' @ 0.54/1.07 Y4) & 0.54/1.07 ('#sk9' @ 0.54/1.07 Y5))) => 0.54/1.07 ('#sk9' @ 0.54/1.07 ( 0.54/1.07 '#sk10' @ 0.54/1.07 Y4 @ Y5)))))))))) & 0.54/1.07 (((!!) @ ( 0.54/1.07 ^[Y4 : g]: 0.54/1.07 (((!!) @ ( 0.54/1.07 ^[Y5 : g]: 0.54/1.07 (( 0.54/1.07 (( 0.54/1.07 ('#sk9' @ 0.54/1.07 Y5) & 0.54/1.07 ('#sk9' @ 0.54/1.07 Y4))) => 0.54/1.07 (( 0.54/1.07 ('#sk7' @ 0.54/1.07 ( 0.54/1.07 '#sk10' @ 0.54/1.07 Y4 @ Y5)) = 0.54/1.07 (Y1 @ 0.54/1.07 ( 0.54/1.07 '#sk7' @ 0.54/1.07 Y4) @ 0.54/1.07 ( 0.54/1.07 '#sk7' @ 0.54/1.07 Y5)))))))))))) & 0.54/1.07 (((!!) @ ( 0.54/1.07 ^[Y4 : b]: 0.54/1.07 (((!!) @ ( 0.54/1.07 ^[Y5 : b]: 0.54/1.07 (( 0.54/1.07 (( 0.54/1.07 (Y0 @ 0.54/1.07 Y5) & 0.54/1.07 (Y0 @ Y4))) => 0.54/1.07 (( 0.54/1.07 ('#sk8' @ 0.54/1.07 ( 0.54/1.07 Y1 @ 0.54/1.07 Y4 @ Y5)) = 0.54/1.07 (Y3 @ 0.54/1.07 ( 0.54/1.07 '#sk8' @ 0.54/1.07 Y4) @ 0.54/1.07 ( 0.54/1.07 '#sk8' @ 0.54/1.07 Y5)))))))))))))) => 0.54/1.07 (((((!!) @ ( 0.54/1.07 ^[Y4 : a]: 0.54/1.07 (((!!) @ ( 0.54/1.07 ^[Y5 : a]: 0.54/1.07 (( 0.54/1.07 (( 0.54/1.07 (Y2 @ 0.54/1.07 Y4) & 0.54/1.07 (Y2 @ Y5))) => 0.54/1.07 (Y2 @ 0.54/1.07 ( 0.54/1.07 Y3 @ 0.54/1.07 Y4 @ Y5)))))))))) & 0.54/1.07 (((!!) @ ( 0.54/1.07 ^[Y4 : g]: 0.54/1.07 ((('#sk9' @ 0.54/1.07 Y4) => 0.54/1.07 (Y2 @ 0.54/1.07 ('#sk8' @ 0.54/1.07 ('#sk7' @ 0.54/1.07 Y4)))))))) & 0.54/1.07 (((!!) @ ( 0.54/1.07 ^[Y4 : g]: 0.54/1.07 (((!!) @ ( 0.54/1.07 ^[Y5 : g]: 0.54/1.07 (( 0.54/1.07 (( 0.54/1.07 ('#sk9' @ 0.54/1.07 Y4) & 0.54/1.07 ('#sk9' @ 0.54/1.07 Y5))) => 0.54/1.07 (( 0.54/1.07 ('#sk8' @ 0.54/1.07 ( 0.54/1.07 '#sk7' @ 0.54/1.07 ( 0.54/1.07 '#sk10' @ 0.54/1.07 Y4 @ Y5))) = 0.54/1.07 (Y3 @ 0.54/1.07 ( 0.54/1.07 '#sk8' @ 0.54/1.07 ( 0.54/1.07 '#sk7' @ 0.54/1.07 Y4)) @ 0.54/1.07 ( 0.54/1.07 '#sk8' @ 0.54/1.07 ( 0.54/1.07 '#sk7' @ 0.54/1.07 Y5))))))))))))) & 0.54/1.07 (((!!) @ ( 0.54/1.07 ^[Y4 : g]: 0.54/1.07 (((!!) @ ( 0.54/1.07 ^[Y5 : g]: 0.54/1.07 (( 0.54/1.07 (( 0.54/1.07 ('#sk9' @ 0.54/1.07 Y4) & 0.54/1.07 ('#sk9' @ 0.54/1.07 Y5))) => 0.54/1.07 ('#sk9' @ 0.54/1.07 ( 0.54/1.07 '#sk10' @ 0.54/1.07 Y4 @ Y5))))))))))))))))))))))))))), 0.54/1.07 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl10])). 0.54/1.07 thf(zip_derived_cl12, plain, 0.54/1.07 (~ (((!!) @ (^[Y0 : b > b > b]: 0.54/1.07 (((!!) @ (^[Y1 : a > $o]: 0.54/1.07 (((!!) @ (^[Y2 : a > a > a]: 0.54/1.07 (((((((!!) @ (^[Y3 : g]: 0.54/1.07 ((('#sk9' @ Y3) => 0.54/1.07 ('#sk11' @ 0.54/1.07 ('#sk7' @ Y3))))))) & 0.54/1.07 (((!!) @ (^[Y3 : b]: 0.54/1.07 ((('#sk11' @ 0.54/1.07 Y3) => (Y1 @ 0.54/1.07 ('#sk8' @ Y3))))))) & 0.54/1.07 (((!!) @ (^[Y3 : a]: 0.54/1.07 (((!!) @ ( 0.54/1.07 ^[Y4 : a]: 0.54/1.07 (((((Y1 @ 0.54/1.07 Y4) & 0.54/1.07 (Y1 @ Y3))) => 0.54/1.07 (Y1 @ 0.54/1.07 (Y2 @ Y3 @ 0.54/1.07 Y4)))))))))) & 0.54/1.07 (((!!) @ (^[Y3 : g]: 0.54/1.07 (((!!) @ ( 0.54/1.07 ^[Y4 : g]: 0.54/1.07 ((((('#sk9' @ 0.54/1.07 Y3) & 0.54/1.07 ('#sk9' @ 0.54/1.07 Y4))) => 0.54/1.07 ('#sk9' @ 0.54/1.07 ('#sk10' @ 0.54/1.07 Y3 @ Y4)))))))))) & 0.54/1.07 (((!!) @ (^[Y3 : g]: 0.54/1.07 (((!!) @ ( 0.54/1.07 ^[Y4 : g]: 0.54/1.07 ((((('#sk9' @ 0.54/1.07 Y4) & 0.54/1.07 ('#sk9' @ 0.54/1.07 Y3))) => 0.54/1.07 ((('#sk7' @ 0.54/1.07 ('#sk10' @ 0.54/1.07 Y3 @ Y4)) = 0.54/1.07 (Y0 @ 0.54/1.07 ('#sk7' @ 0.54/1.07 Y3) @ 0.54/1.07 ('#sk7' @ 0.54/1.07 Y4)))))))))))) & 0.54/1.07 (((!!) @ (^[Y3 : b]: 0.54/1.07 (((!!) @ ( 0.54/1.07 ^[Y4 : b]: 0.54/1.07 ((((('#sk11' @ 0.54/1.07 Y4) & 0.54/1.07 ('#sk11' @ 0.54/1.07 Y3))) => 0.54/1.07 ((('#sk8' @ 0.54/1.07 (Y0 @ 0.54/1.07 Y3 @ Y4)) = 0.54/1.07 (Y2 @ 0.54/1.07 ('#sk8' @ 0.54/1.07 Y3) @ 0.54/1.07 ('#sk8' @ 0.54/1.07 Y4)))))))))))))) => 0.54/1.07 (((((!!) @ (^[Y3 : a]: 0.54/1.07 (((!!) @ ( 0.54/1.07 ^[Y4 : a]: 0.54/1.07 (((((Y1 @ 0.54/1.07 Y3) & 0.54/1.07 (Y1 @ Y4))) => 0.54/1.07 (Y1 @ 0.54/1.07 (Y2 @ Y3 @ 0.54/1.07 Y4)))))))))) & 0.54/1.07 (((!!) @ (^[Y3 : g]: 0.54/1.07 ((('#sk9' @ Y3) => 0.54/1.07 (Y1 @ 0.54/1.07 ('#sk8' @ 0.54/1.07 ('#sk7' @ Y3)))))))) & 0.54/1.07 (((!!) @ (^[Y3 : g]: 0.54/1.07 (((!!) @ ( 0.54/1.07 ^[Y4 : g]: 0.54/1.07 ((((('#sk9' @ 0.54/1.07 Y3) & 0.54/1.07 ('#sk9' @ 0.54/1.07 Y4))) => 0.54/1.07 ((('#sk8' @ 0.54/1.07 ('#sk7' @ 0.54/1.07 ( 0.54/1.07 '#sk10' @ 0.54/1.07 Y3 @ Y4))) = 0.54/1.07 (Y2 @ 0.54/1.07 ('#sk8' @ 0.54/1.07 ( 0.54/1.07 '#sk7' @ 0.54/1.07 Y3)) @ 0.54/1.07 ('#sk8' @ 0.54/1.07 ( 0.54/1.07 '#sk7' @ 0.54/1.07 Y4))))))))))))) & 0.54/1.07 (((!!) @ (^[Y3 : g]: 0.54/1.07 (((!!) @ ( 0.54/1.07 ^[Y4 : g]: 0.54/1.07 ((((('#sk9' @ 0.54/1.07 Y3) & 0.54/1.07 ('#sk9' @ 0.54/1.07 Y4))) => 0.54/1.07 ('#sk9' @ 0.54/1.07 ('#sk10' @ 0.54/1.07 Y3 @ Y4)))))))))))))))))))))))), 0.54/1.07 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl11])). 0.54/1.07 thf(zip_derived_cl13, plain, 0.54/1.07 (~ (((!!) @ (^[Y0 : a > $o]: 0.54/1.07 (((!!) @ (^[Y1 : a > a > a]: 0.54/1.07 (((((((!!) @ (^[Y2 : g]: 0.54/1.07 ((('#sk9' @ Y2) => ('#sk11' @ 0.54/1.07 ('#sk7' @ Y2))))))) & 0.54/1.07 (((!!) @ (^[Y2 : b]: 0.54/1.07 ((('#sk11' @ Y2) => (Y0 @ 0.54/1.07 ('#sk8' @ Y2))))))) & 0.54/1.07 (((!!) @ (^[Y2 : a]: 0.54/1.07 (((!!) @ (^[Y3 : a]: 0.54/1.07 (((((Y0 @ Y3) & 0.54/1.07 (Y0 @ Y2))) => 0.54/1.07 (Y0 @ 0.54/1.07 (Y1 @ Y2 @ Y3)))))))))) & 0.54/1.07 (((!!) @ (^[Y2 : g]: 0.54/1.07 (((!!) @ (^[Y3 : g]: 0.54/1.07 ((((('#sk9' @ 0.54/1.07 Y2) & 0.54/1.07 ('#sk9' @ Y3))) => 0.54/1.07 ('#sk9' @ 0.54/1.07 ('#sk10' @ Y2 @ 0.54/1.07 Y3)))))))))) & 0.54/1.07 (((!!) @ (^[Y2 : g]: 0.54/1.07 (((!!) @ (^[Y3 : g]: 0.54/1.07 ((((('#sk9' @ 0.54/1.07 Y3) & 0.54/1.07 ('#sk9' @ Y2))) => 0.54/1.07 ((('#sk7' @ 0.54/1.07 ('#sk10' @ 0.54/1.07 Y2 @ Y3)) = 0.54/1.07 ('#sk12' @ 0.54/1.07 ('#sk7' @ Y2) @ 0.54/1.07 ('#sk7' @ Y3)))))))))))) & 0.54/1.07 (((!!) @ (^[Y2 : b]: 0.54/1.07 (((!!) @ (^[Y3 : b]: 0.54/1.07 ((((('#sk11' @ 0.54/1.07 Y3) & 0.54/1.07 ('#sk11' @ Y2))) => 0.54/1.07 ((('#sk8' @ 0.54/1.07 ('#sk12' @ 0.54/1.07 Y2 @ Y3)) = 0.54/1.07 (Y1 @ 0.54/1.07 ('#sk8' @ Y2) @ 0.54/1.07 ('#sk8' @ Y3)))))))))))))) => 0.54/1.07 (((((!!) @ (^[Y2 : a]: 0.54/1.07 (((!!) @ (^[Y3 : a]: 0.54/1.07 (((((Y0 @ Y2) & 0.54/1.07 (Y0 @ Y3))) => 0.54/1.07 (Y0 @ 0.54/1.07 (Y1 @ Y2 @ Y3)))))))))) & 0.54/1.07 (((!!) @ (^[Y2 : g]: 0.54/1.07 ((('#sk9' @ Y2) => (Y0 @ 0.54/1.07 ('#sk8' @ ('#sk7' @ Y2)))))))) & 0.54/1.07 (((!!) @ (^[Y2 : g]: 0.54/1.07 (((!!) @ (^[Y3 : g]: 0.54/1.07 ((((('#sk9' @ 0.54/1.07 Y2) & 0.54/1.07 ('#sk9' @ Y3))) => 0.54/1.07 ((('#sk8' @ 0.54/1.07 ('#sk7' @ 0.54/1.07 ('#sk10' @ 0.54/1.07 Y2 @ Y3))) = 0.54/1.07 (Y1 @ 0.54/1.07 ('#sk8' @ 0.54/1.07 ('#sk7' @ Y2)) @ 0.54/1.07 ('#sk8' @ 0.54/1.07 ('#sk7' @ Y3))))))))))))) & 0.54/1.07 (((!!) @ (^[Y2 : g]: 0.54/1.07 (((!!) @ (^[Y3 : g]: 0.54/1.07 ((((('#sk9' @ 0.54/1.07 Y2) & 0.54/1.07 ('#sk9' @ Y3))) => 0.54/1.07 ('#sk9' @ 0.54/1.07 ('#sk10' @ Y2 @ 0.54/1.07 Y3))))))))))))))))))))), 0.54/1.07 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl12])). 0.54/1.07 thf(zip_derived_cl14, plain, 0.54/1.07 (~ (((!!) @ (^[Y0 : a > a > a]: 0.54/1.07 (((((((!!) @ (^[Y1 : g]: 0.54/1.07 ((('#sk9' @ Y1) => ('#sk11' @ 0.54/1.07 ('#sk7' @ Y1))))))) & 0.54/1.07 (((!!) @ (^[Y1 : b]: 0.54/1.07 ((('#sk11' @ Y1) => ('#sk13' @ 0.54/1.07 ('#sk8' @ Y1))))))) & 0.54/1.07 (((!!) @ (^[Y1 : a]: 0.54/1.07 (((!!) @ (^[Y2 : a]: 0.54/1.07 ((((('#sk13' @ Y2) & 0.54/1.07 ('#sk13' @ Y1))) => 0.54/1.07 ('#sk13' @ (Y0 @ Y1 @ Y2)))))))))) & 0.54/1.07 (((!!) @ (^[Y1 : g]: 0.54/1.07 (((!!) @ (^[Y2 : g]: 0.54/1.07 ((((('#sk9' @ Y1) & ('#sk9' @ 0.54/1.07 Y2))) => 0.54/1.07 ('#sk9' @ 0.54/1.07 ('#sk10' @ Y1 @ Y2)))))))))) & 0.54/1.07 (((!!) @ (^[Y1 : g]: 0.54/1.07 (((!!) @ (^[Y2 : g]: 0.54/1.07 ((((('#sk9' @ Y2) & ('#sk9' @ 0.54/1.07 Y1))) => 0.54/1.07 ((('#sk7' @ 0.54/1.07 ('#sk10' @ Y1 @ Y2)) = 0.54/1.07 ('#sk12' @ 0.54/1.07 ('#sk7' @ Y1) @ 0.54/1.07 ('#sk7' @ Y2)))))))))))) & 0.54/1.07 (((!!) @ (^[Y1 : b]: 0.54/1.07 (((!!) @ (^[Y2 : b]: 0.54/1.07 ((((('#sk11' @ Y2) & 0.54/1.07 ('#sk11' @ Y1))) => 0.54/1.07 ((('#sk8' @ 0.54/1.07 ('#sk12' @ Y1 @ Y2)) = 0.54/1.07 (Y0 @ ('#sk8' @ Y1) @ 0.54/1.07 ('#sk8' @ Y2)))))))))))))) => 0.54/1.07 (((((!!) @ (^[Y1 : a]: 0.54/1.07 (((!!) @ (^[Y2 : a]: 0.54/1.07 ((((('#sk13' @ Y1) & 0.54/1.07 ('#sk13' @ Y2))) => 0.54/1.07 ('#sk13' @ (Y0 @ Y1 @ Y2)))))))))) & 0.54/1.07 (((!!) @ (^[Y1 : g]: 0.54/1.07 ((('#sk9' @ Y1) => ('#sk13' @ 0.54/1.07 ('#sk8' @ ('#sk7' @ Y1)))))))) & 0.54/1.07 (((!!) @ (^[Y1 : g]: 0.54/1.07 (((!!) @ (^[Y2 : g]: 0.54/1.07 ((((('#sk9' @ Y1) & ('#sk9' @ 0.54/1.07 Y2))) => 0.54/1.07 ((('#sk8' @ 0.54/1.07 ('#sk7' @ 0.54/1.07 ('#sk10' @ Y1 @ Y2))) = 0.54/1.07 (Y0 @ 0.54/1.07 ('#sk8' @ ('#sk7' @ Y1)) @ 0.54/1.07 ('#sk8' @ ('#sk7' @ Y2))))))))))))) & 0.54/1.07 (((!!) @ (^[Y1 : g]: 0.54/1.07 (((!!) @ (^[Y2 : g]: 0.54/1.07 ((((('#sk9' @ Y1) & ('#sk9' @ 0.54/1.07 Y2))) => 0.54/1.07 ('#sk9' @ 0.54/1.07 ('#sk10' @ Y1 @ Y2)))))))))))))))))), 0.54/1.07 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl13])). 0.54/1.07 thf(zip_derived_cl15, plain, 0.54/1.07 (~ (((((((!!) @ (^[Y0 : g]: 0.54/1.07 ((('#sk9' @ Y0) => ('#sk11' @ ('#sk7' @ Y0))))))) & 0.54/1.07 (((!!) @ (^[Y0 : b]: 0.54/1.07 ((('#sk11' @ Y0) => ('#sk13' @ ('#sk8' @ Y0))))))) & 0.54/1.07 (((!!) @ (^[Y0 : a]: 0.54/1.07 (((!!) @ (^[Y1 : a]: 0.54/1.07 ((((('#sk13' @ Y1) & ('#sk13' @ Y0))) => 0.54/1.07 ('#sk13' @ ('#sk14' @ Y0 @ Y1)))))))))) & 0.54/1.07 (((!!) @ (^[Y0 : g]: 0.54/1.07 (((!!) @ (^[Y1 : g]: 0.54/1.07 ((((('#sk9' @ Y0) & ('#sk9' @ Y1))) => 0.54/1.07 ('#sk9' @ ('#sk10' @ Y0 @ Y1)))))))))) & 0.54/1.07 (((!!) @ (^[Y0 : g]: 0.54/1.07 (((!!) @ (^[Y1 : g]: 0.54/1.07 ((((('#sk9' @ Y1) & ('#sk9' @ Y0))) => 0.54/1.07 ((('#sk7' @ ('#sk10' @ Y0 @ Y1)) = 0.54/1.07 ('#sk12' @ ('#sk7' @ Y0) @ 0.54/1.07 ('#sk7' @ Y1)))))))))))) & 0.54/1.07 (((!!) @ (^[Y0 : b]: 0.54/1.07 (((!!) @ (^[Y1 : b]: 0.54/1.07 ((((('#sk11' @ Y1) & ('#sk11' @ Y0))) => 0.54/1.07 ((('#sk8' @ ('#sk12' @ Y0 @ Y1)) = 0.54/1.07 ('#sk14' @ ('#sk8' @ Y0) @ 0.54/1.07 ('#sk8' @ Y1)))))))))))))) => 0.54/1.07 (((((!!) @ (^[Y0 : a]: 0.54/1.07 (((!!) @ (^[Y1 : a]: 0.54/1.07 ((((('#sk13' @ Y0) & ('#sk13' @ Y1))) => 0.54/1.07 ('#sk13' @ ('#sk14' @ Y0 @ Y1)))))))))) & 0.54/1.07 (((!!) @ (^[Y0 : g]: 0.54/1.07 ((('#sk9' @ Y0) => ('#sk13' @ 0.54/1.07 ('#sk8' @ ('#sk7' @ Y0)))))))) & 0.54/1.07 (((!!) @ (^[Y0 : g]: 0.54/1.07 (((!!) @ (^[Y1 : g]: 0.54/1.07 ((((('#sk9' @ Y0) & ('#sk9' @ Y1))) => 0.54/1.07 ((('#sk8' @ 0.54/1.07 ('#sk7' @ ('#sk10' @ Y0 @ Y1))) = 0.54/1.07 ('#sk14' @ ('#sk8' @ ('#sk7' @ Y0)) @ 0.54/1.07 ('#sk8' @ ('#sk7' @ Y1))))))))))))) & 0.54/1.07 (((!!) @ (^[Y0 : g]: 0.54/1.07 (((!!) @ (^[Y1 : g]: 0.54/1.07 ((((('#sk9' @ Y0) & ('#sk9' @ Y1))) => 0.54/1.07 ('#sk9' @ ('#sk10' @ Y0 @ Y1))))))))))))))), 0.54/1.07 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl14])). 0.54/1.07 thf(zip_derived_cl16, plain, 0.54/1.07 ( (((((!!) @ (^[Y0 : g]: ((('#sk9' @ Y0) => ('#sk11' @ ('#sk7' @ Y0))))))) & 0.54/1.07 (((!!) @ (^[Y0 : b]: ((('#sk11' @ Y0) => ('#sk13' @ ('#sk8' @ Y0))))))) & 0.54/1.07 (((!!) @ (^[Y0 : a]: 0.54/1.07 (((!!) @ (^[Y1 : a]: 0.54/1.07 ((((('#sk13' @ Y1) & ('#sk13' @ Y0))) => 0.54/1.07 ('#sk13' @ ('#sk14' @ Y0 @ Y1)))))))))) & 0.54/1.07 (((!!) @ (^[Y0 : g]: 0.54/1.07 (((!!) @ (^[Y1 : g]: 0.54/1.07 ((((('#sk9' @ Y0) & ('#sk9' @ Y1))) => 0.54/1.07 ('#sk9' @ ('#sk10' @ Y0 @ Y1)))))))))) & 0.54/1.07 (((!!) @ (^[Y0 : g]: 0.54/1.07 (((!!) @ (^[Y1 : g]: 0.54/1.07 ((((('#sk9' @ Y1) & ('#sk9' @ Y0))) => 0.54/1.07 ((('#sk7' @ ('#sk10' @ Y0 @ Y1)) = 0.54/1.07 ('#sk12' @ ('#sk7' @ Y0) @ ('#sk7' @ Y1)))))))))))) & 0.54/1.07 (((!!) @ (^[Y0 : b]: 0.54/1.07 (((!!) @ (^[Y1 : b]: 0.54/1.07 ((((('#sk11' @ Y1) & ('#sk11' @ Y0))) => 0.54/1.07 ((('#sk8' @ ('#sk12' @ Y0 @ Y1)) = 0.54/1.07 ('#sk14' @ ('#sk8' @ Y0) @ ('#sk8' @ Y1))))))))))))))), 0.54/1.07 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl15])). 0.54/1.07 thf(zip_derived_cl18, plain, 0.54/1.07 ( (((!!) @ (^[Y0 : g]: ((('#sk9' @ Y0) => ('#sk11' @ ('#sk7' @ Y0)))))))), 0.54/1.07 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl16])). 0.54/1.07 thf(zip_derived_cl25, plain, 0.54/1.07 (![X2 : g]: ((('#sk9' @ X2) => ('#sk11' @ ('#sk7' @ X2))))), 0.54/1.07 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl18])). 0.54/1.07 thf(zip_derived_cl32, plain, 0.54/1.07 (![X2 : g]: (~ ('#sk9' @ X2) | ('#sk11' @ ('#sk7' @ X2)))), 0.54/1.07 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl25])). 0.54/1.07 thf(zip_derived_cl32, plain, 0.54/1.07 (![X2 : g]: (~ ('#sk9' @ X2) | ('#sk11' @ ('#sk7' @ X2)))), 0.54/1.07 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl25])). 0.54/1.07 thf(zip_derived_cl22, plain, 0.54/1.07 ( (((!!) @ (^[Y0 : g]: 0.54/1.07 (((!!) @ (^[Y1 : g]: 0.54/1.07 ((((('#sk9' @ Y1) & ('#sk9' @ Y0))) => 0.54/1.07 ((('#sk7' @ ('#sk10' @ Y0 @ Y1)) = 0.54/1.07 ('#sk12' @ ('#sk7' @ Y0) @ ('#sk7' @ Y1))))))))))))), 0.54/1.07 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl16])). 0.54/1.07 thf(zip_derived_cl29, plain, 0.54/1.07 (![X2 : g]: 0.54/1.07 (((!!) @ (^[Y0 : g]: 0.54/1.07 ((((('#sk9' @ Y0) & ('#sk9' @ X2))) => 0.54/1.07 ((('#sk7' @ ('#sk10' @ X2 @ Y0)) = ('#sk12' @ 0.54/1.08 ('#sk7' @ X2) @ ('#sk7' @ Y0)))))))))), 0.54/1.08 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl22])). 0.54/1.08 thf(zip_derived_cl36, plain, 0.54/1.08 (![X2 : g, X4 : g]: 0.54/1.08 ((((('#sk9' @ X4) & ('#sk9' @ X2))) => 0.54/1.08 ((('#sk7' @ ('#sk10' @ X2 @ X4)) = ('#sk12' @ ('#sk7' @ X2) @ 0.54/1.08 ('#sk7' @ X4))))))), 0.54/1.08 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl29])). 0.54/1.08 thf(zip_derived_cl41, plain, 0.54/1.08 (![X2 : g, X4 : g]: 0.54/1.08 (~ ((('#sk9' @ X4) & ('#sk9' @ X2))) 0.54/1.08 | ((('#sk7' @ ('#sk10' @ X2 @ X4)) = ('#sk12' @ ('#sk7' @ X2) @ 0.54/1.08 ('#sk7' @ X4)))))), 0.54/1.08 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl36])). 0.54/1.08 thf(zip_derived_cl47, plain, 0.54/1.08 (![X2 : g, X4 : g]: 0.54/1.08 (~ ((('#sk9' @ X4) & ('#sk9' @ X2))) 0.54/1.08 | (('#sk7' @ ('#sk10' @ X2 @ X4)) 0.54/1.08 = ('#sk12' @ ('#sk7' @ X2) @ ('#sk7' @ X4))))), 0.54/1.08 inference('simplify nested equalities', [status(thm)], [zip_derived_cl41])). 0.54/1.08 thf(zip_derived_cl48, plain, 0.54/1.08 (![X2 : g, X4 : g]: 0.54/1.08 (~ ('#sk9' @ X4) 0.54/1.08 | ~ ('#sk9' @ X2) 0.54/1.08 | (('#sk7' @ ('#sk10' @ X2 @ X4)) 0.54/1.08 = ('#sk12' @ ('#sk7' @ X2) @ ('#sk7' @ X4))))), 0.54/1.08 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl47])). 0.54/1.08 thf(zip_derived_cl23, plain, 0.54/1.08 ( (((!!) @ (^[Y0 : b]: 0.54/1.08 (((!!) @ (^[Y1 : b]: 0.54/1.08 ((((('#sk11' @ Y1) & ('#sk11' @ Y0))) => 0.54/1.08 ((('#sk8' @ ('#sk12' @ Y0 @ Y1)) = 0.54/1.08 ('#sk14' @ ('#sk8' @ Y0) @ ('#sk8' @ Y1))))))))))))), 0.54/1.08 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl16])). 0.54/1.08 thf(zip_derived_cl30, plain, 0.54/1.08 (![X2 : b]: 0.54/1.08 (((!!) @ (^[Y0 : b]: 0.54/1.08 ((((('#sk11' @ Y0) & ('#sk11' @ X2))) => 0.54/1.08 ((('#sk8' @ ('#sk12' @ X2 @ Y0)) = ('#sk14' @ 0.54/1.08 ('#sk8' @ X2) @ ('#sk8' @ Y0)))))))))), 0.54/1.08 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl23])). 0.54/1.08 thf(zip_derived_cl37, plain, 0.54/1.08 (![X2 : b, X4 : b]: 0.54/1.08 ((((('#sk11' @ X4) & ('#sk11' @ X2))) => 0.54/1.08 ((('#sk8' @ ('#sk12' @ X2 @ X4)) = ('#sk14' @ ('#sk8' @ X2) @ 0.54/1.08 ('#sk8' @ X4))))))), 0.54/1.08 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl30])). 0.54/1.08 thf(zip_derived_cl42, plain, 0.54/1.08 (![X2 : b, X4 : b]: 0.54/1.08 (~ ((('#sk11' @ X4) & ('#sk11' @ X2))) 0.54/1.08 | ((('#sk8' @ ('#sk12' @ X2 @ X4)) = ('#sk14' @ ('#sk8' @ X2) @ 0.54/1.08 ('#sk8' @ X4)))))), 0.54/1.08 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl37])). 0.54/1.08 thf(zip_derived_cl49, plain, 0.54/1.08 (![X2 : b, X4 : b]: 0.54/1.08 (~ ((('#sk11' @ X4) & ('#sk11' @ X2))) 0.54/1.08 | (('#sk8' @ ('#sk12' @ X2 @ X4)) 0.54/1.08 = ('#sk14' @ ('#sk8' @ X2) @ ('#sk8' @ X4))))), 0.54/1.08 inference('simplify nested equalities', [status(thm)], [zip_derived_cl42])). 0.54/1.08 thf(zip_derived_cl50, plain, 0.54/1.08 (![X2 : b, X4 : b]: 0.54/1.08 (~ ('#sk11' @ X4) 0.54/1.08 | ~ ('#sk11' @ X2) 0.54/1.08 | (('#sk8' @ ('#sk12' @ X2 @ X4)) 0.54/1.08 = ('#sk14' @ ('#sk8' @ X2) @ ('#sk8' @ X4))))), 0.54/1.08 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl49])). 0.54/1.08 thf(zip_derived_cl17, plain, 0.54/1.08 (~ (((((!!) @ (^[Y0 : a]: 0.54/1.08 (((!!) @ (^[Y1 : a]: 0.54/1.08 ((((('#sk13' @ Y0) & ('#sk13' @ Y1))) => 0.54/1.08 ('#sk13' @ ('#sk14' @ Y0 @ Y1)))))))))) & 0.54/1.08 (((!!) @ (^[Y0 : g]: 0.54/1.08 ((('#sk9' @ Y0) => ('#sk13' @ ('#sk8' @ ('#sk7' @ Y0)))))))) & 0.54/1.08 (((!!) @ (^[Y0 : g]: 0.54/1.08 (((!!) @ (^[Y1 : g]: 0.54/1.08 ((((('#sk9' @ Y0) & ('#sk9' @ Y1))) => 0.54/1.08 ((('#sk8' @ 0.54/1.08 ('#sk7' @ ('#sk10' @ Y0 @ Y1))) = 0.54/1.08 ('#sk14' @ ('#sk8' @ ('#sk7' @ Y0)) @ 0.54/1.08 ('#sk8' @ ('#sk7' @ Y1))))))))))))) & 0.54/1.08 (((!!) @ (^[Y0 : g]: 0.54/1.08 (((!!) @ (^[Y1 : g]: 0.54/1.08 ((((('#sk9' @ Y0) & ('#sk9' @ Y1))) => 0.54/1.08 ('#sk9' @ ('#sk10' @ Y0 @ Y1))))))))))))), 0.54/1.08 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl15])). 0.54/1.08 thf(zip_derived_cl24, plain, 0.54/1.08 ((~ (((!!) @ (^[Y0 : a]: 0.54/1.08 (((!!) @ (^[Y1 : a]: 0.54/1.08 ((((('#sk13' @ Y0) & ('#sk13' @ Y1))) => 0.54/1.08 ('#sk13' @ ('#sk14' @ Y0 @ Y1)))))))))) 0.54/1.08 | ~ (((!!) @ (^[Y0 : g]: 0.54/1.08 ((('#sk9' @ Y0) => ('#sk13' @ ('#sk8' @ ('#sk7' @ Y0)))))))) 0.54/1.08 | ~ (((!!) @ (^[Y0 : g]: 0.54/1.08 (((!!) @ (^[Y1 : g]: 0.54/1.08 ((((('#sk9' @ Y0) & ('#sk9' @ Y1))) => 0.54/1.08 ((('#sk8' @ 0.54/1.08 ('#sk7' @ ('#sk10' @ Y0 @ Y1))) = 0.54/1.08 ('#sk14' @ ('#sk8' @ ('#sk7' @ Y0)) @ 0.54/1.08 ('#sk8' @ ('#sk7' @ Y1))))))))))))) 0.54/1.08 | ~ (((!!) @ (^[Y0 : g]: 0.54/1.08 (((!!) @ (^[Y1 : g]: 0.54/1.08 ((((('#sk9' @ Y0) & ('#sk9' @ Y1))) => 0.54/1.08 ('#sk9' @ ('#sk10' @ Y0 @ Y1)))))))))))), 0.54/1.08 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl17])). 0.54/1.08 thf(zip_derived_cl31, plain, 0.54/1.08 ((~ (((!!) @ (^[Y0 : a]: 0.54/1.08 ((((('#sk13' @ '#sk15') & ('#sk13' @ Y0))) => ('#sk13' @ 0.54/1.08 ('#sk14' @ '#sk15' @ Y0))))))) 0.54/1.08 | ~ (((!!) @ (^[Y0 : g]: 0.54/1.08 (((!!) @ (^[Y1 : g]: 0.54/1.08 ((((('#sk9' @ Y0) & ('#sk9' @ Y1))) => 0.54/1.08 ('#sk9' @ ('#sk10' @ Y0 @ Y1)))))))))) 0.54/1.08 | ~ (((!!) @ (^[Y0 : g]: 0.54/1.08 (((!!) @ (^[Y1 : g]: 0.54/1.08 ((((('#sk9' @ Y0) & ('#sk9' @ Y1))) => 0.54/1.08 ((('#sk8' @ 0.54/1.08 ('#sk7' @ ('#sk10' @ Y0 @ Y1))) = 0.54/1.08 ('#sk14' @ ('#sk8' @ ('#sk7' @ Y0)) @ 0.54/1.08 ('#sk8' @ ('#sk7' @ Y1))))))))))))) 0.54/1.08 | ~ (((!!) @ (^[Y0 : g]: 0.54/1.08 ((('#sk9' @ Y0) => ('#sk13' @ ('#sk8' @ ('#sk7' @ Y0)))))))))), 0.54/1.08 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl24])). 0.54/1.08 thf(zip_derived_cl38, plain, 0.54/1.08 ((~ ((((('#sk13' @ '#sk15') & ('#sk13' @ '#sk16'))) => ('#sk13' @ 0.54/1.08 ('#sk14' @ '#sk15' @ '#sk16')))) 0.54/1.08 | ~ (((!!) @ (^[Y0 : g]: 0.54/1.08 ((('#sk9' @ Y0) => ('#sk13' @ ('#sk8' @ ('#sk7' @ Y0)))))))) 0.54/1.08 | ~ (((!!) @ (^[Y0 : g]: 0.54/1.08 (((!!) @ (^[Y1 : g]: 0.54/1.08 ((((('#sk9' @ Y0) & ('#sk9' @ Y1))) => 0.54/1.08 ((('#sk8' @ 0.54/1.08 ('#sk7' @ ('#sk10' @ Y0 @ Y1))) = 0.54/1.08 ('#sk14' @ ('#sk8' @ ('#sk7' @ Y0)) @ 0.54/1.08 ('#sk8' @ ('#sk7' @ Y1))))))))))))) 0.54/1.08 | ~ (((!!) @ (^[Y0 : g]: 0.54/1.08 (((!!) @ (^[Y1 : g]: 0.54/1.08 ((((('#sk9' @ Y0) & ('#sk9' @ Y1))) => 0.54/1.08 ('#sk9' @ ('#sk10' @ Y0 @ Y1)))))))))))), 0.54/1.08 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl31])). 0.54/1.08 thf(zip_derived_cl43, plain, 0.54/1.08 (( ((('#sk13' @ '#sk15') & ('#sk13' @ '#sk16'))) 0.54/1.08 | ~ (((!!) @ (^[Y0 : g]: 0.54/1.08 (((!!) @ (^[Y1 : g]: 0.54/1.08 ((((('#sk9' @ Y0) & ('#sk9' @ Y1))) => 0.54/1.08 ('#sk9' @ ('#sk10' @ Y0 @ Y1)))))))))) 0.54/1.08 | ~ (((!!) @ (^[Y0 : g]: 0.54/1.08 (((!!) @ (^[Y1 : g]: 0.54/1.08 ((((('#sk9' @ Y0) & ('#sk9' @ Y1))) => 0.54/1.08 ((('#sk8' @ 0.54/1.08 ('#sk7' @ ('#sk10' @ Y0 @ Y1))) = 0.54/1.08 ('#sk14' @ ('#sk8' @ ('#sk7' @ Y0)) @ 0.54/1.08 ('#sk8' @ ('#sk7' @ Y1))))))))))))) 0.54/1.08 | ~ (((!!) @ (^[Y0 : g]: 0.54/1.08 ((('#sk9' @ Y0) => ('#sk13' @ ('#sk8' @ ('#sk7' @ Y0)))))))))), 0.54/1.08 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl38])). 0.54/1.08 thf(zip_derived_cl52, plain, 0.54/1.08 (( ('#sk13' @ '#sk16') 0.54/1.08 | ~ (((!!) @ (^[Y0 : g]: 0.54/1.08 ((('#sk9' @ Y0) => ('#sk13' @ ('#sk8' @ ('#sk7' @ Y0)))))))) 0.54/1.08 | ~ (((!!) @ (^[Y0 : g]: 0.54/1.08 (((!!) @ (^[Y1 : g]: 0.54/1.08 ((((('#sk9' @ Y0) & ('#sk9' @ Y1))) => 0.54/1.08 ((('#sk8' @ 0.54/1.08 ('#sk7' @ ('#sk10' @ Y0 @ Y1))) = 0.54/1.08 ('#sk14' @ ('#sk8' @ ('#sk7' @ Y0)) @ 0.54/1.08 ('#sk8' @ ('#sk7' @ Y1))))))))))))) 0.54/1.08 | ~ (((!!) @ (^[Y0 : g]: 0.54/1.08 (((!!) @ (^[Y1 : g]: 0.54/1.08 ((((('#sk9' @ Y0) & ('#sk9' @ Y1))) => 0.54/1.08 ('#sk9' @ ('#sk10' @ Y0 @ Y1)))))))))))), 0.54/1.08 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl43])). 0.54/1.08 thf(zip_derived_cl55, plain, 0.54/1.08 ((~ ((('#sk9' @ '#sk18') => ('#sk13' @ ('#sk8' @ ('#sk7' @ '#sk18'))))) 0.54/1.08 | ~ (((!!) @ (^[Y0 : g]: 0.54/1.08 (((!!) @ (^[Y1 : g]: 0.54/1.08 ((((('#sk9' @ Y0) & ('#sk9' @ Y1))) => 0.54/1.08 ('#sk9' @ ('#sk10' @ Y0 @ Y1)))))))))) 0.54/1.08 | ~ (((!!) @ (^[Y0 : g]: 0.54/1.08 (((!!) @ (^[Y1 : g]: 0.54/1.08 ((((('#sk9' @ Y0) & ('#sk9' @ Y1))) => 0.54/1.08 ((('#sk8' @ 0.54/1.08 ('#sk7' @ ('#sk10' @ Y0 @ Y1))) = 0.54/1.08 ('#sk14' @ ('#sk8' @ ('#sk7' @ Y0)) @ 0.54/1.08 ('#sk8' @ ('#sk7' @ Y1))))))))))))) 0.54/1.08 | ('#sk13' @ '#sk16'))), 0.54/1.08 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl52])). 0.54/1.08 thf(zip_derived_cl59, plain, 0.54/1.08 (( ('#form20') 0.54/1.08 | ~ (((!!) @ (^[Y0 : g]: 0.54/1.08 (((!!) @ (^[Y1 : g]: 0.54/1.08 ((((('#sk9' @ Y0) & ('#sk9' @ Y1))) => 0.54/1.08 ((('#sk8' @ 0.54/1.08 ('#sk7' @ ('#sk10' @ Y0 @ Y1))) = 0.54/1.08 ('#sk14' @ ('#sk8' @ ('#sk7' @ Y0)) @ 0.54/1.08 ('#sk8' @ ('#sk7' @ Y1))))))))))))))), 0.54/1.08 define([status(thm)])). 0.54/1.08 thf(zip_derived_cl60, plain, 0.54/1.08 ((~ (((!!) @ (^[Y0 : g]: 0.54/1.08 ((((('#sk9' @ '#sk21') & ('#sk9' @ Y0))) => 0.54/1.08 ((('#sk8' @ ('#sk7' @ ('#sk10' @ '#sk21' @ Y0))) = 0.54/1.08 ('#sk14' @ ('#sk8' @ ('#sk7' @ '#sk21')) @ 0.54/1.08 ('#sk8' @ ('#sk7' @ Y0)))))))))) 0.54/1.08 | ('#form20'))), 0.54/1.08 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl59])). 0.54/1.08 thf(zip_derived_cl66, plain, 0.54/1.08 ((~ ((((('#sk9' @ '#sk21') & ('#sk9' @ '#sk22'))) => 0.54/1.08 ((('#sk8' @ ('#sk7' @ ('#sk10' @ '#sk21' @ '#sk22'))) = ('#sk14' @ 0.54/1.08 ('#sk8' @ ('#sk7' @ '#sk21')) @ ('#sk8' @ ('#sk7' @ '#sk22'))))))) 0.54/1.08 | ('#form20'))), 0.54/1.08 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl60])). 0.54/1.08 thf(zip_derived_cl72, plain, 0.54/1.08 ((~ ((('#sk8' @ ('#sk7' @ ('#sk10' @ '#sk21' @ '#sk22'))) = ('#sk14' @ 0.54/1.08 ('#sk8' @ ('#sk7' @ '#sk21')) @ ('#sk8' @ ('#sk7' @ '#sk22'))))) 0.54/1.08 | ('#form20'))), 0.54/1.08 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl66])). 0.54/1.08 thf(zip_derived_cl83, plain, 0.54/1.08 (((('#sk8' @ ('#sk7' @ ('#sk10' @ '#sk21' @ '#sk22'))) 0.54/1.08 != ('#sk14' @ ('#sk8' @ ('#sk7' @ '#sk21')) @ 0.54/1.08 ('#sk8' @ ('#sk7' @ '#sk22')))) 0.54/1.08 | ('#form20'))), 0.54/1.08 inference('simplify nested equalities', [status(thm)], [zip_derived_cl72])). 0.54/1.08 thf(zip_derived_cl44, plain, 0.54/1.08 ((~ ('#sk13' @ ('#sk14' @ '#sk15' @ '#sk16')) 0.54/1.08 | ~ (((!!) @ (^[Y0 : g]: 0.54/1.08 (((!!) @ (^[Y1 : g]: 0.54/1.08 ((((('#sk9' @ Y0) & ('#sk9' @ Y1))) => 0.54/1.08 ('#sk9' @ ('#sk10' @ Y0 @ Y1)))))))))) 0.54/1.08 | ~ (((!!) @ (^[Y0 : g]: 0.54/1.08 (((!!) @ (^[Y1 : g]: 0.54/1.08 ((((('#sk9' @ Y0) & ('#sk9' @ Y1))) => 0.54/1.08 ((('#sk8' @ 0.54/1.08 ('#sk7' @ ('#sk10' @ Y0 @ Y1))) = 0.54/1.08 ('#sk14' @ ('#sk8' @ ('#sk7' @ Y0)) @ 0.54/1.08 ('#sk8' @ ('#sk7' @ Y1))))))))))))) 0.54/1.08 | ~ (((!!) @ (^[Y0 : g]: 0.54/1.08 ((('#sk9' @ Y0) => ('#sk13' @ ('#sk8' @ ('#sk7' @ Y0)))))))))), 0.54/1.08 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl38])). 0.54/1.08 thf(zip_derived_cl53, plain, 0.54/1.08 ((~ (((!!) @ (^[Y0 : g]: 0.54/1.08 ((((('#sk9' @ '#sk17') & ('#sk9' @ Y0))) => ('#sk9' @ 0.54/1.08 ('#sk10' @ '#sk17' @ Y0))))))) 0.54/1.08 | ~ (((!!) @ (^[Y0 : g]: 0.54/1.08 ((('#sk9' @ Y0) => ('#sk13' @ ('#sk8' @ ('#sk7' @ Y0)))))))) 0.54/1.08 | ~ (((!!) @ (^[Y0 : g]: 0.54/1.08 (((!!) @ (^[Y1 : g]: 0.54/1.08 ((((('#sk9' @ Y0) & ('#sk9' @ Y1))) => 0.54/1.08 ((('#sk8' @ 0.54/1.08 ('#sk7' @ ('#sk10' @ Y0 @ Y1))) = 0.54/1.08 ('#sk14' @ ('#sk8' @ ('#sk7' @ Y0)) @ 0.54/1.08 ('#sk8' @ ('#sk7' @ Y1))))))))))))) 0.54/1.08 | ~ ('#sk13' @ ('#sk14' @ '#sk15' @ '#sk16')))), 0.54/1.08 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl44])). 0.54/1.08 thf(zip_derived_cl56, plain, 0.54/1.08 ((~ ((((('#sk9' @ '#sk17') & ('#sk9' @ '#sk19'))) => ('#sk9' @ 0.54/1.08 ('#sk10' @ '#sk17' @ '#sk19')))) 0.54/1.08 | ~ ('#sk13' @ ('#sk14' @ '#sk15' @ '#sk16')) 0.54/1.08 | ~ (((!!) @ (^[Y0 : g]: 0.54/1.08 (((!!) @ (^[Y1 : g]: 0.54/1.08 ((((('#sk9' @ Y0) & ('#sk9' @ Y1))) => 0.54/1.08 ((('#sk8' @ 0.54/1.08 ('#sk7' @ ('#sk10' @ Y0 @ Y1))) = 0.54/1.08 ('#sk14' @ ('#sk8' @ ('#sk7' @ Y0)) @ 0.54/1.08 ('#sk8' @ ('#sk7' @ Y1))))))))))))) 0.54/1.08 | ~ (((!!) @ (^[Y0 : g]: 0.54/1.08 ((('#sk9' @ Y0) => ('#sk13' @ ('#sk8' @ ('#sk7' @ Y0)))))))))), 0.54/1.08 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl53])). 0.54/1.08 thf(zip_derived_cl59, plain, 0.54/1.08 (( ('#form20') 0.54/1.08 | ~ (((!!) @ (^[Y0 : g]: 0.54/1.08 (((!!) @ (^[Y1 : g]: 0.54/1.08 ((((('#sk9' @ Y0) & ('#sk9' @ Y1))) => 0.54/1.08 ((('#sk8' @ 0.54/1.08 ('#sk7' @ ('#sk10' @ Y0 @ Y1))) = 0.54/1.08 ('#sk14' @ ('#sk8' @ ('#sk7' @ Y0)) @ 0.54/1.08 ('#sk8' @ ('#sk7' @ Y1))))))))))))))), 0.54/1.08 define([status(thm)])). 0.54/1.08 thf(zip_derived_cl62, plain, 0.54/1.08 ((~ ('#form20') 0.54/1.08 | ~ (((!!) @ (^[Y0 : g]: 0.54/1.08 ((('#sk9' @ Y0) => ('#sk13' @ ('#sk8' @ ('#sk7' @ Y0)))))))) 0.54/1.08 | ~ ('#sk13' @ ('#sk14' @ '#sk15' @ '#sk16')) 0.54/1.08 | ~ ((((('#sk9' @ '#sk17') & ('#sk9' @ '#sk19'))) => ('#sk9' @ 0.54/1.08 ('#sk10' @ '#sk17' @ '#sk19')))))), 0.54/1.08 inference('renaming', [status(thm)], [zip_derived_cl56, zip_derived_cl59])). 0.54/1.08 thf(zip_derived_cl67, plain, 0.54/1.08 ((~ ((('#sk9' @ '#sk18') => ('#sk13' @ ('#sk8' @ ('#sk7' @ '#sk18'))))) 0.54/1.08 | ~ ((((('#sk9' @ '#sk17') & ('#sk9' @ '#sk19'))) => ('#sk9' @ 0.54/1.08 ('#sk10' @ '#sk17' @ '#sk19')))) 0.54/1.08 | ~ ('#sk13' @ ('#sk14' @ '#sk15' @ '#sk16')) 0.54/1.08 | ~ ('#form20'))), 0.54/1.08 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl62])). 0.54/1.08 thf(zip_derived_cl74, plain, 0.54/1.08 ((~ ('#sk13' @ ('#sk8' @ ('#sk7' @ '#sk18'))) 0.54/1.08 | ~ ('#form20') 0.54/1.08 | ~ ('#sk13' @ ('#sk14' @ '#sk15' @ '#sk16')) 0.54/1.08 | ~ ((((('#sk9' @ '#sk17') & ('#sk9' @ '#sk19'))) => ('#sk9' @ 0.54/1.08 ('#sk10' @ '#sk17' @ '#sk19')))))), 0.54/1.08 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl67])). 0.54/1.08 thf(zip_derived_cl55, plain, 0.54/1.08 ((~ ((('#sk9' @ '#sk18') => ('#sk13' @ ('#sk8' @ ('#sk7' @ '#sk18'))))) 0.54/1.08 | ~ (((!!) @ (^[Y0 : g]: 0.54/1.08 (((!!) @ (^[Y1 : g]: 0.54/1.08 ((((('#sk9' @ Y0) & ('#sk9' @ Y1))) => 0.54/1.08 ('#sk9' @ ('#sk10' @ Y0 @ Y1)))))))))) 0.54/1.08 | ~ (((!!) @ (^[Y0 : g]: 0.54/1.08 (((!!) @ (^[Y1 : g]: 0.54/1.08 ((((('#sk9' @ Y0) & ('#sk9' @ Y1))) => 0.54/1.08 ((('#sk8' @ 0.54/1.08 ('#sk7' @ ('#sk10' @ Y0 @ Y1))) = 0.54/1.08 ('#sk14' @ ('#sk8' @ ('#sk7' @ Y0)) @ 0.54/1.08 ('#sk8' @ ('#sk7' @ Y1))))))))))))) 0.54/1.08 | ('#sk13' @ '#sk16'))), 0.54/1.08 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl52])). 0.54/1.08 thf(zip_derived_cl59, plain, 0.54/1.08 (( ('#form20') 0.54/1.08 | ~ (((!!) @ (^[Y0 : g]: 0.54/1.08 (((!!) @ (^[Y1 : g]: 0.54/1.08 ((((('#sk9' @ Y0) & ('#sk9' @ Y1))) => 0.54/1.08 ((('#sk8' @ 0.54/1.08 ('#sk7' @ ('#sk10' @ Y0 @ Y1))) = 0.54/1.08 ('#sk14' @ ('#sk8' @ ('#sk7' @ Y0)) @ 0.54/1.08 ('#sk8' @ ('#sk7' @ Y1))))))))))))))), 0.54/1.08 define([status(thm)])). 0.54/1.08 thf(zip_derived_cl61, plain, 0.54/1.08 ((~ ('#form20') 0.54/1.08 | ('#sk13' @ '#sk16') 0.54/1.08 | ~ (((!!) @ (^[Y0 : g]: 0.54/1.08 (((!!) @ (^[Y1 : g]: 0.54/1.08 ((((('#sk9' @ Y0) & ('#sk9' @ Y1))) => 0.54/1.08 ('#sk9' @ ('#sk10' @ Y0 @ Y1)))))))))) 0.54/1.08 | ~ ((('#sk9' @ '#sk18') => ('#sk13' @ ('#sk8' @ ('#sk7' @ '#sk18'))))))), 0.54/1.08 inference('renaming', [status(thm)], [zip_derived_cl55, zip_derived_cl59])). 0.54/1.08 thf(zip_derived_cl65, plain, 0.54/1.08 ((~ (((!!) @ (^[Y0 : g]: 0.54/1.08 ((((('#sk9' @ '#sk17') & ('#sk9' @ Y0))) => ('#sk9' @ 0.54/1.08 ('#sk10' @ '#sk17' @ Y0))))))) 0.54/1.08 | ~ ((('#sk9' @ '#sk18') => ('#sk13' @ ('#sk8' @ ('#sk7' @ '#sk18'))))) 0.54/1.08 | ('#sk13' @ '#sk16') 0.54/1.08 | ~ ('#form20'))), 0.54/1.08 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl61])). 0.54/1.08 thf(zip_derived_cl70, plain, 0.54/1.08 ((~ ((((('#sk9' @ '#sk17') & ('#sk9' @ '#sk19'))) => ('#sk9' @ 0.54/1.08 ('#sk10' @ '#sk17' @ '#sk19')))) 0.54/1.08 | ~ ('#form20') 0.54/1.08 | ('#sk13' @ '#sk16') 0.54/1.08 | ~ ((('#sk9' @ '#sk18') => ('#sk13' @ ('#sk8' @ ('#sk7' @ '#sk18'))))))), 0.54/1.08 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl65])). 0.54/1.08 thf(zip_derived_cl77, plain, 0.54/1.08 (( ('#form23') 0.54/1.08 | ~ ((((('#sk9' @ '#sk17') & ('#sk9' @ '#sk19'))) => ('#sk9' @ 0.54/1.08 ('#sk10' @ '#sk17' @ '#sk19')))))), 0.54/1.08 define([status(thm)])). 0.54/1.08 thf(zip_derived_cl85, plain, 0.54/1.08 ((~ ('#form23') 0.54/1.08 | ~ ('#sk13' @ ('#sk14' @ '#sk15' @ '#sk16')) 0.54/1.08 | ~ ('#form20') 0.54/1.08 | ~ ('#sk13' @ ('#sk8' @ ('#sk7' @ '#sk18'))))), 0.54/1.08 inference('renaming', [status(thm)], [zip_derived_cl74, zip_derived_cl77])). 0.54/1.08 thf(zip_derived_cl21, plain, 0.54/1.08 ( (((!!) @ (^[Y0 : g]: 0.54/1.08 (((!!) @ (^[Y1 : g]: 0.54/1.08 ((((('#sk9' @ Y0) & ('#sk9' @ Y1))) => 0.54/1.08 ('#sk9' @ ('#sk10' @ Y0 @ Y1))))))))))), 0.54/1.08 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl16])). 0.54/1.08 thf(zip_derived_cl28, plain, 0.54/1.08 (![X2 : g]: 0.54/1.08 (((!!) @ (^[Y0 : g]: 0.54/1.08 ((((('#sk9' @ X2) & ('#sk9' @ Y0))) => ('#sk9' @ 0.54/1.08 ('#sk10' @ X2 @ Y0)))))))), 0.54/1.08 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl21])). 0.54/1.08 thf(zip_derived_cl35, plain, 0.54/1.08 (![X2 : g, X4 : g]: 0.54/1.08 ((((('#sk9' @ X2) & ('#sk9' @ X4))) => ('#sk9' @ ('#sk10' @ X2 @ X4))))), 0.54/1.08 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl28])). 0.54/1.08 thf(zip_derived_cl40, plain, 0.54/1.08 (![X2 : g, X4 : g]: 0.54/1.08 (~ ((('#sk9' @ X2) & ('#sk9' @ X4))) | ('#sk9' @ ('#sk10' @ X2 @ X4)))), 0.54/1.08 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl35])). 0.54/1.08 thf(zip_derived_cl46, plain, 0.54/1.08 (![X2 : g, X4 : g]: 0.54/1.08 (~ ('#sk9' @ X2) | ~ ('#sk9' @ X4) | ('#sk9' @ ('#sk10' @ X2 @ X4)))), 0.54/1.08 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl40])). 0.54/1.08 thf(zip_derived_cl77, plain, 0.54/1.08 (( ('#form23') 0.54/1.08 | ~ ((((('#sk9' @ '#sk17') & ('#sk9' @ '#sk19'))) => ('#sk9' @ 0.54/1.08 ('#sk10' @ '#sk17' @ '#sk19')))))), 0.54/1.08 define([status(thm)])). 0.54/1.08 thf(zip_derived_cl79, plain, 0.54/1.08 ((~ ('#sk9' @ ('#sk10' @ '#sk17' @ '#sk19')) | ('#form23'))), 0.54/1.08 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl77])). 0.54/1.08 thf(zip_derived_cl104, plain, 0.54/1.08 ((~ ('#sk9' @ '#sk19') | ~ ('#sk9' @ '#sk17') | ('#form23'))), 0.54/1.08 inference('sup-', [status(thm)], [zip_derived_cl46, zip_derived_cl79])). 0.54/1.08 thf(zip_derived_cl78, plain, 0.54/1.08 (( ((('#sk9' @ '#sk17') & ('#sk9' @ '#sk19'))) | ('#form23'))), 0.54/1.08 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl77])). 0.54/1.08 thf(zip_derived_cl91, plain, (( ('#sk9' @ '#sk19') | ('#form23'))), 0.54/1.08 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl78])). 0.54/1.08 thf(zip_derived_cl108, plain, (( ('#form23') | ~ ('#sk9' @ '#sk17'))), 0.54/1.08 inference('clc', [status(thm)], [zip_derived_cl104, zip_derived_cl91])). 0.54/1.08 thf(zip_derived_cl90, plain, (( ('#sk9' @ '#sk17') | ('#form23'))), 0.54/1.08 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl78])). 0.54/1.08 thf(zip_derived_cl109, plain, ( ('#form23')), 0.54/1.08 inference('clc', [status(thm)], [zip_derived_cl108, zip_derived_cl90])). 0.54/1.08 thf(zip_derived_cl143, plain, 0.54/1.08 ((~ ('#sk13' @ ('#sk14' @ '#sk15' @ '#sk16')) 0.54/1.08 | ~ ('#form20') 0.54/1.08 | ~ ('#sk13' @ ('#sk8' @ ('#sk7' @ '#sk18'))))), 0.54/1.08 inference('demod', [status(thm)], [zip_derived_cl85, zip_derived_cl109])). 0.54/1.08 thf(zip_derived_cl20, plain, 0.54/1.08 ( (((!!) @ (^[Y0 : a]: 0.54/1.08 (((!!) @ (^[Y1 : a]: 0.54/1.08 ((((('#sk13' @ Y1) & ('#sk13' @ Y0))) => 0.54/1.08 ('#sk13' @ ('#sk14' @ Y0 @ Y1))))))))))), 0.54/1.08 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl16])). 0.54/1.08 thf(zip_derived_cl27, plain, 0.54/1.08 (![X2 : a]: 0.54/1.08 (((!!) @ (^[Y0 : a]: 0.54/1.08 ((((('#sk13' @ Y0) & ('#sk13' @ X2))) => ('#sk13' @ 0.54/1.08 ('#sk14' @ X2 @ Y0)))))))), 0.54/1.08 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl20])). 0.54/1.08 thf(zip_derived_cl34, plain, 0.54/1.08 (![X2 : a, X4 : a]: 0.54/1.08 ((((('#sk13' @ X4) & ('#sk13' @ X2))) => ('#sk13' @ 0.54/1.08 ('#sk14' @ X2 @ X4))))), 0.54/1.08 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl27])). 0.54/1.08 thf(zip_derived_cl39, plain, 0.54/1.08 (![X2 : a, X4 : a]: 0.54/1.08 (~ ((('#sk13' @ X4) & ('#sk13' @ X2))) 0.54/1.08 | ('#sk13' @ ('#sk14' @ X2 @ X4)))), 0.54/1.08 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl34])). 0.54/1.08 thf(zip_derived_cl45, plain, 0.54/1.08 (![X2 : a, X4 : a]: 0.54/1.08 (~ ('#sk13' @ X4) 0.54/1.08 | ~ ('#sk13' @ X2) 0.54/1.08 | ('#sk13' @ ('#sk14' @ X2 @ X4)))), 0.54/1.08 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl39])). 0.54/1.08 thf(zip_derived_cl144, plain, 0.54/1.08 ((~ ('#sk13' @ ('#sk8' @ ('#sk7' @ '#sk18'))) 0.54/1.08 | ~ ('#form20') 0.54/1.08 | ~ ('#sk13' @ '#sk15') 0.54/1.08 | ~ ('#sk13' @ '#sk16'))), 0.54/1.08 inference('sup+', [status(thm)], [zip_derived_cl143, zip_derived_cl45])). 0.54/1.08 thf(zip_derived_cl51, plain, 0.54/1.08 (( ('#sk13' @ '#sk15') 0.54/1.08 | ~ (((!!) @ (^[Y0 : g]: 0.54/1.08 ((('#sk9' @ Y0) => ('#sk13' @ ('#sk8' @ ('#sk7' @ Y0)))))))) 0.54/1.08 | ~ (((!!) @ (^[Y0 : g]: 0.54/1.08 (((!!) @ (^[Y1 : g]: 0.54/1.08 ((((('#sk9' @ Y0) & ('#sk9' @ Y1))) => 0.54/1.08 ((('#sk8' @ 0.54/1.08 ('#sk7' @ ('#sk10' @ Y0 @ Y1))) = 0.54/1.08 ('#sk14' @ ('#sk8' @ ('#sk7' @ Y0)) @ 0.54/1.08 ('#sk8' @ ('#sk7' @ Y1))))))))))))) 0.54/1.08 | ~ (((!!) @ (^[Y0 : g]: 0.54/1.08 (((!!) @ (^[Y1 : g]: 0.54/1.08 ((((('#sk9' @ Y0) & ('#sk9' @ Y1))) => 0.54/1.08 ('#sk9' @ ('#sk10' @ Y0 @ Y1)))))))))))), 0.54/1.08 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl43])). 0.54/1.08 thf(zip_derived_cl54, plain, 0.54/1.08 ((~ ((('#sk9' @ '#sk18') => ('#sk13' @ ('#sk8' @ ('#sk7' @ '#sk18'))))) 0.54/1.08 | ~ (((!!) @ (^[Y0 : g]: 0.54/1.08 (((!!) @ (^[Y1 : g]: 0.54/1.08 ((((('#sk9' @ Y0) & ('#sk9' @ Y1))) => 0.54/1.08 ('#sk9' @ ('#sk10' @ Y0 @ Y1)))))))))) 0.54/1.08 | ~ (((!!) @ (^[Y0 : g]: 0.54/1.08 (((!!) @ (^[Y1 : g]: 0.54/1.08 ((((('#sk9' @ Y0) & ('#sk9' @ Y1))) => 0.54/1.08 ((('#sk8' @ 0.54/1.08 ('#sk7' @ ('#sk10' @ Y0 @ Y1))) = 0.54/1.08 ('#sk14' @ ('#sk8' @ ('#sk7' @ Y0)) @ 0.54/1.08 ('#sk8' @ ('#sk7' @ Y1))))))))))))) 0.54/1.08 | ('#sk13' @ '#sk15'))), 0.54/1.08 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl51])). 0.54/1.08 thf(zip_derived_cl58, plain, 0.54/1.08 ((~ ('#sk13' @ ('#sk8' @ ('#sk7' @ '#sk18'))) 0.54/1.08 | ('#sk13' @ '#sk15') 0.54/1.08 | ~ (((!!) @ (^[Y0 : g]: 0.54/1.08 (((!!) @ (^[Y1 : g]: 0.54/1.08 ((((('#sk9' @ Y0) & ('#sk9' @ Y1))) => 0.54/1.08 ((('#sk8' @ 0.54/1.08 ('#sk7' @ ('#sk10' @ Y0 @ Y1))) = 0.54/1.08 ('#sk14' @ ('#sk8' @ ('#sk7' @ Y0)) @ 0.54/1.08 ('#sk8' @ ('#sk7' @ Y1))))))))))))) 0.54/1.08 | ~ (((!!) @ (^[Y0 : g]: 0.54/1.08 (((!!) @ (^[Y1 : g]: 0.54/1.08 ((((('#sk9' @ Y0) & ('#sk9' @ Y1))) => 0.54/1.08 ('#sk9' @ ('#sk10' @ Y0 @ Y1)))))))))))), 0.54/1.08 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl54])). 0.54/1.08 thf(zip_derived_cl59, plain, 0.54/1.08 (( ('#form20') 0.54/1.08 | ~ (((!!) @ (^[Y0 : g]: 0.54/1.08 (((!!) @ (^[Y1 : g]: 0.54/1.08 ((((('#sk9' @ Y0) & ('#sk9' @ Y1))) => 0.54/1.08 ((('#sk8' @ 0.54/1.08 ('#sk7' @ ('#sk10' @ Y0 @ Y1))) = 0.54/1.08 ('#sk14' @ ('#sk8' @ ('#sk7' @ Y0)) @ 0.54/1.08 ('#sk8' @ ('#sk7' @ Y1))))))))))))))), 0.54/1.08 define([status(thm)])). 0.54/1.08 thf(zip_derived_cl64, plain, 0.54/1.08 ((~ ('#form20') 0.54/1.08 | ~ (((!!) @ (^[Y0 : g]: 0.54/1.08 (((!!) @ (^[Y1 : g]: 0.54/1.08 ((((('#sk9' @ Y0) & ('#sk9' @ Y1))) => 0.54/1.08 ('#sk9' @ ('#sk10' @ Y0 @ Y1)))))))))) 0.54/1.08 | ('#sk13' @ '#sk15') 0.54/1.08 | ~ ('#sk13' @ ('#sk8' @ ('#sk7' @ '#sk18'))))), 0.54/1.08 inference('renaming', [status(thm)], [zip_derived_cl58, zip_derived_cl59])). 0.54/1.08 thf(zip_derived_cl69, plain, 0.54/1.08 ((~ (((!!) @ (^[Y0 : g]: 0.54/1.08 ((((('#sk9' @ '#sk17') & ('#sk9' @ Y0))) => ('#sk9' @ 0.54/1.08 ('#sk10' @ '#sk17' @ Y0))))))) 0.54/1.08 | ~ ('#sk13' @ ('#sk8' @ ('#sk7' @ '#sk18'))) 0.54/1.08 | ('#sk13' @ '#sk15') 0.54/1.08 | ~ ('#form20'))), 0.54/1.08 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl64])). 0.54/1.08 thf(zip_derived_cl76, plain, 0.54/1.08 ((~ ((((('#sk9' @ '#sk17') & ('#sk9' @ '#sk19'))) => ('#sk9' @ 0.54/1.08 ('#sk10' @ '#sk17' @ '#sk19')))) 0.54/1.08 | ~ ('#form20') 0.54/1.08 | ('#sk13' @ '#sk15') 0.54/1.08 | ~ ('#sk13' @ ('#sk8' @ ('#sk7' @ '#sk18'))))), 0.54/1.08 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl69])). 0.54/1.08 thf(zip_derived_cl77, plain, 0.54/1.08 (( ('#form23') 0.54/1.08 | ~ ((((('#sk9' @ '#sk17') & ('#sk9' @ '#sk19'))) => ('#sk9' @ 0.54/1.08 ('#sk10' @ '#sk17' @ '#sk19')))))), 0.54/1.08 define([status(thm)])). 0.54/1.08 thf(zip_derived_cl87, plain, 0.54/1.08 ((~ ('#form23') 0.54/1.08 | ~ ('#sk13' @ ('#sk8' @ ('#sk7' @ '#sk18'))) 0.54/1.08 | ('#sk13' @ '#sk15') 0.54/1.08 | ~ ('#form20'))), 0.54/1.08 inference('renaming', [status(thm)], [zip_derived_cl76, zip_derived_cl77])). 0.54/1.08 thf(zip_derived_cl109, plain, ( ('#form23')), 0.54/1.08 inference('clc', [status(thm)], [zip_derived_cl108, zip_derived_cl90])). 0.54/1.08 thf(zip_derived_cl112, plain, 0.54/1.08 ((~ ('#sk13' @ ('#sk8' @ ('#sk7' @ '#sk18'))) 0.54/1.08 | ('#sk13' @ '#sk15') 0.54/1.08 | ~ ('#form20'))), 0.54/1.08 inference('demod', [status(thm)], [zip_derived_cl87, zip_derived_cl109])). 0.54/1.08 thf(zip_derived_cl19, plain, 0.54/1.08 ( (((!!) @ (^[Y0 : b]: ((('#sk11' @ Y0) => ('#sk13' @ ('#sk8' @ Y0)))))))), 0.54/1.08 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl16])). 0.54/1.08 thf(zip_derived_cl26, plain, 0.54/1.08 (![X2 : b]: ((('#sk11' @ X2) => ('#sk13' @ ('#sk8' @ X2))))), 0.54/1.08 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl19])). 0.54/1.08 thf(zip_derived_cl33, plain, 0.54/1.08 (![X2 : b]: (~ ('#sk11' @ X2) | ('#sk13' @ ('#sk8' @ X2)))), 0.54/1.08 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl26])). 0.54/1.08 thf(zip_derived_cl122, plain, 0.54/1.08 ((~ ('#form20') | ('#sk13' @ '#sk15') | ~ ('#sk11' @ ('#sk7' @ '#sk18')))), 0.54/1.08 inference('sup+', [status(thm)], [zip_derived_cl112, zip_derived_cl33])). 0.54/1.08 thf(zip_derived_cl32, plain, 0.54/1.08 (![X2 : g]: (~ ('#sk9' @ X2) | ('#sk11' @ ('#sk7' @ X2)))), 0.54/1.08 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl25])). 0.54/1.08 thf(zip_derived_cl126, plain, 0.54/1.08 (( ('#sk13' @ '#sk15') | ~ ('#form20') | ~ ('#sk9' @ '#sk18'))), 0.54/1.08 inference('sup+', [status(thm)], [zip_derived_cl122, zip_derived_cl32])). 0.54/1.08 thf(zip_derived_cl57, plain, 0.54/1.08 (( ('#sk9' @ '#sk18') 0.54/1.08 | ('#sk13' @ '#sk15') 0.54/1.08 | ~ (((!!) @ (^[Y0 : g]: 0.54/1.08 (((!!) @ (^[Y1 : g]: 0.54/1.08 ((((('#sk9' @ Y0) & ('#sk9' @ Y1))) => 0.54/1.08 ((('#sk8' @ 0.54/1.08 ('#sk7' @ ('#sk10' @ Y0 @ Y1))) = 0.54/1.08 ('#sk14' @ ('#sk8' @ ('#sk7' @ Y0)) @ 0.54/1.08 ('#sk8' @ ('#sk7' @ Y1))))))))))))) 0.54/1.08 | ~ (((!!) @ (^[Y0 : g]: 0.54/1.08 (((!!) @ (^[Y1 : g]: 0.54/1.08 ((((('#sk9' @ Y0) & ('#sk9' @ Y1))) => 0.54/1.08 ('#sk9' @ ('#sk10' @ Y0 @ Y1)))))))))))), 0.54/1.08 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl54])). 0.54/1.08 thf(zip_derived_cl59, plain, 0.54/1.08 (( ('#form20') 0.54/1.08 | ~ (((!!) @ (^[Y0 : g]: 0.54/1.08 (((!!) @ (^[Y1 : g]: 0.54/1.08 ((((('#sk9' @ Y0) & ('#sk9' @ Y1))) => 0.54/1.08 ((('#sk8' @ 0.54/1.08 ('#sk7' @ ('#sk10' @ Y0 @ Y1))) = 0.54/1.08 ('#sk14' @ ('#sk8' @ ('#sk7' @ Y0)) @ 0.54/1.08 ('#sk8' @ ('#sk7' @ Y1))))))))))))))), 0.54/1.08 define([status(thm)])). 0.54/1.08 thf(zip_derived_cl63, plain, 0.54/1.08 ((~ ('#form20') 0.54/1.08 | ~ (((!!) @ (^[Y0 : g]: 0.54/1.08 (((!!) @ (^[Y1 : g]: 0.54/1.08 ((((('#sk9' @ Y0) & ('#sk9' @ Y1))) => 0.54/1.08 ('#sk9' @ ('#sk10' @ Y0 @ Y1)))))))))) 0.54/1.08 | ('#sk13' @ '#sk15') 0.54/1.08 | ('#sk9' @ '#sk18'))), 0.54/1.08 inference('renaming', [status(thm)], [zip_derived_cl57, zip_derived_cl59])). 0.54/1.08 thf(zip_derived_cl68, plain, 0.54/1.08 ((~ (((!!) @ (^[Y0 : g]: 0.54/1.08 ((((('#sk9' @ '#sk17') & ('#sk9' @ Y0))) => ('#sk9' @ 0.54/1.08 ('#sk10' @ '#sk17' @ Y0))))))) 0.54/1.08 | ('#sk9' @ '#sk18') 0.54/1.08 | ('#sk13' @ '#sk15') 0.54/1.08 | ~ ('#form20'))), 0.54/1.08 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl63])). 0.54/1.08 thf(zip_derived_cl75, plain, 0.54/1.08 ((~ ((((('#sk9' @ '#sk17') & ('#sk9' @ '#sk19'))) => ('#sk9' @ 0.54/1.08 ('#sk10' @ '#sk17' @ '#sk19')))) 0.54/1.08 | ~ ('#form20') 0.54/1.08 | ('#sk13' @ '#sk15') 0.54/1.08 | ('#sk9' @ '#sk18'))), 0.54/1.08 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl68])). 0.54/1.08 thf(zip_derived_cl77, plain, 0.54/1.08 (( ('#form23') 0.54/1.08 | ~ ((((('#sk9' @ '#sk17') & ('#sk9' @ '#sk19'))) => ('#sk9' @ 0.54/1.08 ('#sk10' @ '#sk17' @ '#sk19')))))), 0.54/1.08 define([status(thm)])). 0.54/1.08 thf(zip_derived_cl86, plain, 0.54/1.08 ((~ ('#form23') 0.54/1.08 | ('#sk9' @ '#sk18') 0.54/1.08 | ('#sk13' @ '#sk15') 0.54/1.08 | ~ ('#form20'))), 0.54/1.08 inference('renaming', [status(thm)], [zip_derived_cl75, zip_derived_cl77])). 0.54/1.08 thf(zip_derived_cl109, plain, ( ('#form23')), 0.54/1.08 inference('clc', [status(thm)], [zip_derived_cl108, zip_derived_cl90])). 0.54/1.08 thf(zip_derived_cl111, plain, 0.54/1.08 (( ('#sk9' @ '#sk18') | ('#sk13' @ '#sk15') | ~ ('#form20'))), 0.54/1.08 inference('demod', [status(thm)], [zip_derived_cl86, zip_derived_cl109])). 0.54/1.08 thf(zip_derived_cl130, plain, ((~ ('#form20') | ('#sk13' @ '#sk15'))), 0.54/1.08 inference('clc', [status(thm)], [zip_derived_cl126, zip_derived_cl111])). 0.54/1.08 thf(zip_derived_cl148, plain, 0.54/1.08 ((~ ('#sk13' @ '#sk16') 0.54/1.08 | ~ ('#form20') 0.54/1.08 | ~ ('#sk13' @ ('#sk8' @ ('#sk7' @ '#sk18'))))), 0.54/1.08 inference('clc', [status(thm)], [zip_derived_cl144, zip_derived_cl130])). 0.54/1.08 thf(zip_derived_cl70, plain, 0.54/1.08 ((~ ((((('#sk9' @ '#sk17') & ('#sk9' @ '#sk19'))) => ('#sk9' @ 0.54/1.08 ('#sk10' @ '#sk17' @ '#sk19')))) 0.54/1.08 | ~ ('#form20') 0.54/1.08 | ('#sk13' @ '#sk16') 0.54/1.08 | ~ ((('#sk9' @ '#sk18') => ('#sk13' @ ('#sk8' @ ('#sk7' @ '#sk18'))))))), 0.54/1.08 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl65])). 0.54/1.08 thf(zip_derived_cl77, plain, 0.54/1.08 (( ('#form23') 0.54/1.08 | ~ ((((('#sk9' @ '#sk17') & ('#sk9' @ '#sk19'))) => ('#sk9' @ 0.54/1.08 ('#sk10' @ '#sk17' @ '#sk19')))))), 0.54/1.08 define([status(thm)])). 0.54/1.08 thf(zip_derived_cl80, plain, 0.54/1.08 ((~ ('#form23') 0.54/1.08 | ~ ((('#sk9' @ '#sk18') => ('#sk13' @ ('#sk8' @ ('#sk7' @ '#sk18'))))) 0.54/1.08 | ('#sk13' @ '#sk16') 0.54/1.08 | ~ ('#form20'))), 0.54/1.08 inference('renaming', [status(thm)], [zip_derived_cl70, zip_derived_cl77])). 0.54/1.08 thf(zip_derived_cl89, plain, 0.54/1.08 ((~ ('#sk13' @ ('#sk8' @ ('#sk7' @ '#sk18'))) 0.54/1.08 | ~ ('#form20') 0.54/1.08 | ('#sk13' @ '#sk16') 0.54/1.08 | ~ ('#form23'))), 0.54/1.08 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl80])). 0.54/1.08 thf(zip_derived_cl109, plain, ( ('#form23')), 0.54/1.08 inference('clc', [status(thm)], [zip_derived_cl108, zip_derived_cl90])). 0.54/1.08 thf(zip_derived_cl133, plain, 0.54/1.08 ((~ ('#sk13' @ ('#sk8' @ ('#sk7' @ '#sk18'))) 0.54/1.08 | ~ ('#form20') 0.54/1.08 | ('#sk13' @ '#sk16'))), 0.54/1.08 inference('demod', [status(thm)], [zip_derived_cl89, zip_derived_cl109])). 0.54/1.08 thf(zip_derived_cl33, plain, 0.54/1.08 (![X2 : b]: (~ ('#sk11' @ X2) | ('#sk13' @ ('#sk8' @ X2)))), 0.54/1.08 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl26])). 0.54/1.08 thf(zip_derived_cl134, plain, 0.54/1.08 (( ('#sk13' @ '#sk16') | ~ ('#form20') | ~ ('#sk11' @ ('#sk7' @ '#sk18')))), 0.54/1.08 inference('sup+', [status(thm)], [zip_derived_cl133, zip_derived_cl33])). 0.54/1.08 thf(zip_derived_cl32, plain, 0.54/1.08 (![X2 : g]: (~ ('#sk9' @ X2) | ('#sk11' @ ('#sk7' @ X2)))), 0.54/1.08 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl25])). 0.54/1.08 thf(zip_derived_cl138, plain, 0.54/1.08 ((~ ('#form20') | ('#sk13' @ '#sk16') | ~ ('#sk9' @ '#sk18'))), 0.54/1.08 inference('sup+', [status(thm)], [zip_derived_cl134, zip_derived_cl32])). 0.54/1.08 thf(zip_derived_cl88, plain, 0.54/1.08 (( ('#sk9' @ '#sk18') 0.54/1.08 | ~ ('#form20') 0.54/1.08 | ('#sk13' @ '#sk16') 0.54/1.08 | ~ ('#form23'))), 0.54/1.08 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl80])). 0.54/1.08 thf(zip_derived_cl109, plain, ( ('#form23')), 0.54/1.08 inference('clc', [status(thm)], [zip_derived_cl108, zip_derived_cl90])). 0.54/1.08 thf(zip_derived_cl131, plain, 0.54/1.08 (( ('#sk9' @ '#sk18') | ~ ('#form20') | ('#sk13' @ '#sk16'))), 0.54/1.08 inference('demod', [status(thm)], [zip_derived_cl88, zip_derived_cl109])). 0.54/1.08 thf(zip_derived_cl86, plain, 0.54/1.08 ((~ ('#form23') 0.54/1.08 | ('#sk9' @ '#sk18') 0.54/1.08 | ('#sk13' @ '#sk15') 0.54/1.08 | ~ ('#form20'))), 0.54/1.08 inference('renaming', [status(thm)], [zip_derived_cl75, zip_derived_cl77])). 0.54/1.08 thf(zip_derived_cl45, plain, 0.54/1.08 (![X2 : a, X4 : a]: 0.54/1.08 (~ ('#sk13' @ X4) 0.54/1.08 | ~ ('#sk13' @ X2) 0.54/1.08 | ('#sk13' @ ('#sk14' @ X2 @ X4)))), 0.54/1.08 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl39])). 0.54/1.08 thf(zip_derived_cl73, plain, 0.54/1.08 (( ('#sk9' @ '#sk18') 0.54/1.08 | ~ ('#form20') 0.54/1.08 | ~ ('#sk13' @ ('#sk14' @ '#sk15' @ '#sk16')) 0.54/1.08 | ~ ((((('#sk9' @ '#sk17') & ('#sk9' @ '#sk19'))) => ('#sk9' @ 0.54/1.08 ('#sk10' @ '#sk17' @ '#sk19')))))), 0.54/1.08 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl67])). 0.54/1.08 thf(zip_derived_cl77, plain, 0.54/1.08 (( ('#form23') 0.54/1.08 | ~ ((((('#sk9' @ '#sk17') & ('#sk9' @ '#sk19'))) => ('#sk9' @ 0.54/1.08 ('#sk10' @ '#sk17' @ '#sk19')))))), 0.54/1.08 define([status(thm)])). 0.54/1.08 thf(zip_derived_cl84, plain, 0.54/1.08 ((~ ('#form23') 0.54/1.08 | ~ ('#sk13' @ ('#sk14' @ '#sk15' @ '#sk16')) 0.54/1.08 | ~ ('#form20') 0.54/1.08 | ('#sk9' @ '#sk18'))), 0.54/1.08 inference('renaming', [status(thm)], [zip_derived_cl73, zip_derived_cl77])). 0.54/1.08 thf(zip_derived_cl92, plain, 0.54/1.08 ((~ ('#sk13' @ '#sk15') 0.54/1.08 | ~ ('#sk13' @ '#sk16') 0.54/1.08 | ('#sk9' @ '#sk18') 0.54/1.08 | ~ ('#form20') 0.54/1.08 | ~ ('#form23'))), 0.54/1.08 inference('sup-', [status(thm)], [zip_derived_cl45, zip_derived_cl84])). 0.54/1.08 thf(zip_derived_cl96, plain, 0.54/1.08 ((~ ('#form20') 0.54/1.08 | ('#sk9' @ '#sk18') 0.54/1.08 | ~ ('#form23') 0.54/1.08 | ~ ('#form23') 0.54/1.08 | ~ ('#form20') 0.54/1.08 | ('#sk9' @ '#sk18') 0.54/1.08 | ~ ('#sk13' @ '#sk16'))), 0.54/1.08 inference('sup-', [status(thm)], [zip_derived_cl86, zip_derived_cl92])). 0.54/1.08 thf(zip_derived_cl98, plain, 0.54/1.08 ((~ ('#sk13' @ '#sk16') 0.54/1.08 | ~ ('#form23') 0.54/1.08 | ('#sk9' @ '#sk18') 0.54/1.08 | ~ ('#form20'))), 0.54/1.08 inference('simplify', [status(thm)], [zip_derived_cl96])). 0.54/1.08 thf(zip_derived_cl109, plain, ( ('#form23')), 0.54/1.08 inference('clc', [status(thm)], [zip_derived_cl108, zip_derived_cl90])). 0.54/1.08 thf(zip_derived_cl113, plain, 0.54/1.08 ((~ ('#sk13' @ '#sk16') | ('#sk9' @ '#sk18') | ~ ('#form20'))), 0.54/1.08 inference('demod', [status(thm)], [zip_derived_cl98, zip_derived_cl109])). 0.54/1.08 thf(zip_derived_cl132, plain, ((~ ('#form20') | ('#sk9' @ '#sk18'))), 0.54/1.08 inference('clc', [status(thm)], [zip_derived_cl131, zip_derived_cl113])). 0.54/1.08 thf(zip_derived_cl142, plain, (( ('#sk13' @ '#sk16') | ~ ('#form20'))), 0.54/1.08 inference('clc', [status(thm)], [zip_derived_cl138, zip_derived_cl132])). 0.54/1.08 thf(zip_derived_cl149, plain, 0.54/1.08 ((~ ('#sk13' @ ('#sk8' @ ('#sk7' @ '#sk18'))) | ~ ('#form20'))), 0.54/1.08 inference('clc', [status(thm)], [zip_derived_cl148, zip_derived_cl142])). 0.54/1.08 thf(zip_derived_cl33, plain, 0.54/1.08 (![X2 : b]: (~ ('#sk11' @ X2) | ('#sk13' @ ('#sk8' @ X2)))), 0.54/1.08 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl26])). 0.54/1.08 thf(zip_derived_cl150, plain, 0.54/1.08 ((~ ('#form20') | ~ ('#sk11' @ ('#sk7' @ '#sk18')))), 0.54/1.08 inference('sup+', [status(thm)], [zip_derived_cl149, zip_derived_cl33])). 0.54/1.08 thf(zip_derived_cl32, plain, 0.54/1.08 (![X2 : g]: (~ ('#sk9' @ X2) | ('#sk11' @ ('#sk7' @ X2)))), 0.54/1.08 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl25])). 0.54/1.08 thf(zip_derived_cl154, plain, ((~ ('#form20') | ~ ('#sk9' @ '#sk18'))), 0.54/1.08 inference('sup+', [status(thm)], [zip_derived_cl150, zip_derived_cl32])). 0.54/1.08 thf(zip_derived_cl132, plain, ((~ ('#form20') | ('#sk9' @ '#sk18'))), 0.54/1.08 inference('clc', [status(thm)], [zip_derived_cl131, zip_derived_cl113])). 0.54/1.08 thf(zip_derived_cl158, plain, (~ ('#form20')), 0.54/1.08 inference('clc', [status(thm)], [zip_derived_cl154, zip_derived_cl132])). 0.54/1.08 thf(zip_derived_cl161, plain, 0.54/1.08 ((('#sk8' @ ('#sk7' @ ('#sk10' @ '#sk21' @ '#sk22'))) 0.54/1.08 != ('#sk14' @ ('#sk8' @ ('#sk7' @ '#sk21')) @ 0.54/1.08 ('#sk8' @ ('#sk7' @ '#sk22'))))), 0.54/1.08 inference('demod', [status(thm)], [zip_derived_cl83, zip_derived_cl158])). 0.54/1.08 thf(zip_derived_cl162, plain, 0.54/1.08 (((('#sk8' @ ('#sk7' @ ('#sk10' @ '#sk21' @ '#sk22'))) 0.54/1.08 != ('#sk8' @ ('#sk12' @ ('#sk7' @ '#sk21') @ ('#sk7' @ '#sk22')))) 0.54/1.08 | ~ ('#sk11' @ ('#sk7' @ '#sk21')) 0.54/1.08 | ~ ('#sk11' @ ('#sk7' @ '#sk22')))), 0.54/1.08 inference('sup-', [status(thm)], [zip_derived_cl50, zip_derived_cl161])). 0.54/1.08 thf(zip_derived_cl166, plain, 0.54/1.08 (((('#sk8' @ ('#sk7' @ ('#sk10' @ '#sk21' @ '#sk22'))) 0.54/1.08 != ('#sk8' @ ('#sk7' @ ('#sk10' @ '#sk21' @ '#sk22')))) 0.54/1.08 | ~ ('#sk9' @ '#sk21') 0.54/1.08 | ~ ('#sk9' @ '#sk22') 0.54/1.08 | ~ ('#sk11' @ ('#sk7' @ '#sk22')) 0.54/1.08 | ~ ('#sk11' @ ('#sk7' @ '#sk21')))), 0.54/1.08 inference('sup-', [status(thm)], [zip_derived_cl48, zip_derived_cl162])). 0.54/1.08 thf(zip_derived_cl71, plain, 0.54/1.08 (( ((('#sk9' @ '#sk21') & ('#sk9' @ '#sk22'))) | ('#form20'))), 0.54/1.08 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl66])). 0.54/1.08 thf(zip_derived_cl81, plain, (( ('#sk9' @ '#sk21') | ('#form20'))), 0.54/1.08 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl71])). 0.54/1.08 thf(zip_derived_cl158, plain, (~ ('#form20')), 0.54/1.08 inference('clc', [status(thm)], [zip_derived_cl154, zip_derived_cl132])). 0.54/1.08 thf(zip_derived_cl159, plain, ( ('#sk9' @ '#sk21')), 0.54/1.08 inference('demod', [status(thm)], [zip_derived_cl81, zip_derived_cl158])). 0.54/1.08 thf(zip_derived_cl82, plain, (( ('#sk9' @ '#sk22') | ('#form20'))), 0.54/1.08 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl71])). 0.54/1.08 thf(zip_derived_cl158, plain, (~ ('#form20')), 0.54/1.08 inference('clc', [status(thm)], [zip_derived_cl154, zip_derived_cl132])). 0.54/1.08 thf(zip_derived_cl160, plain, ( ('#sk9' @ '#sk22')), 0.54/1.08 inference('demod', [status(thm)], [zip_derived_cl82, zip_derived_cl158])). 0.54/1.08 thf(zip_derived_cl168, plain, 0.54/1.08 (((('#sk8' @ ('#sk7' @ ('#sk10' @ '#sk21' @ '#sk22'))) 0.54/1.08 != ('#sk8' @ ('#sk7' @ ('#sk10' @ '#sk21' @ '#sk22')))) 0.54/1.08 | ~ ('#sk11' @ ('#sk7' @ '#sk22')) 0.54/1.08 | ~ ('#sk11' @ ('#sk7' @ '#sk21')))), 0.54/1.08 inference('demod', [status(thm)], 0.54/1.08 [zip_derived_cl166, zip_derived_cl159, zip_derived_cl160])). 0.54/1.08 thf(zip_derived_cl169, plain, 0.54/1.08 ((~ ('#sk11' @ ('#sk7' @ '#sk21')) | ~ ('#sk11' @ ('#sk7' @ '#sk22')))), 0.54/1.08 inference('simplify', [status(thm)], [zip_derived_cl168])). 0.54/1.08 thf(zip_derived_cl172, plain, 0.54/1.08 ((~ ('#sk9' @ '#sk21') | ~ ('#sk11' @ ('#sk7' @ '#sk22')))), 0.54/1.08 inference('sup-', [status(thm)], [zip_derived_cl32, zip_derived_cl169])). 0.54/1.08 thf(zip_derived_cl159, plain, ( ('#sk9' @ '#sk21')), 0.54/1.08 inference('demod', [status(thm)], [zip_derived_cl81, zip_derived_cl158])). 0.54/1.08 thf(zip_derived_cl174, plain, (~ ('#sk11' @ ('#sk7' @ '#sk22'))), 0.54/1.08 inference('demod', [status(thm)], [zip_derived_cl172, zip_derived_cl159])). 0.54/1.08 thf(zip_derived_cl181, plain, (~ ('#sk9' @ '#sk22')), 0.54/1.08 inference('sup-', [status(thm)], [zip_derived_cl32, zip_derived_cl174])). 0.54/1.08 thf(zip_derived_cl160, plain, ( ('#sk9' @ '#sk22')), 0.54/1.08 inference('demod', [status(thm)], [zip_derived_cl82, zip_derived_cl158])). 0.54/1.08 thf(zip_derived_cl184, plain, ($false), 0.54/1.08 inference('demod', [status(thm)], [zip_derived_cl181, zip_derived_cl160])). 0.54/1.08 0.54/1.08 % SZS output end Refutation 0.54/1.08 0.54/1.08 0.54/1.08 % Terminating... 4.04/1.15 % Runner terminated. 4.04/1.17 % Zipperpin 1.5 exiting 4.04/1.17 EOF