0.02/0.10 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.02/0.11 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.cneVxlpIy2 true 0.10/0.31 % Computer : n005.cluster.edu 0.10/0.31 % Model : x86_64 x86_64 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.10/0.31 % Memory : 8042.1875MB 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64 0.10/0.31 % CPULimit : 960 0.10/0.31 % WCLimit : 120 0.10/0.31 % DateTime : Tue Aug 9 02:48:19 EDT 2022 0.10/0.31 % CPUTime : 0.10/0.31 % Running portfolio for 960 s 0.10/0.31 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p 0.10/0.31 % Number of cores: 8 0.16/0.31 % Python version: Python 3.6.8 0.16/0.32 % Running in HO mode 0.46/0.59 % Total configuration time : 828 0.46/0.59 % Estimated wc time : 1656 0.46/0.59 % Estimated cpu time (8 cpus) : 207.0 0.46/0.67 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s 0.46/0.67 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s 0.46/0.67 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s 0.46/0.67 % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s 0.46/0.67 % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s 0.46/0.67 % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s 0.46/0.68 % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s 0.46/0.68 % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s 53.18/7.27 % Solved by lams/20_acsne_simpl.sh. 53.18/7.27 % done 459 iterations in 6.343s 53.18/7.27 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p' 53.18/7.27 % SZS output start Refutation 53.18/7.27 thf(a_type, type, a: $tType). 53.18/7.27 thf('#sk180_type', type, '#sk180': (a > $o) > a). 53.18/7.27 thf('#sk211_type', type, '#sk211': (a > $o) > a). 53.18/7.27 thf('#sk44_type', type, '#sk44': a). 53.18/7.27 thf('#sk5_type', type, '#sk5': a > $o). 53.18/7.27 thf('#sk4_type', type, '#sk4': a). 53.18/7.27 thf('#form89_type', type, '#form89': $o). 53.18/7.27 thf('#sk198_type', type, '#sk198': (a > $o) > a). 53.18/7.27 thf('#sk145_type', type, '#sk145': (a > $o) > a). 53.18/7.27 thf('#sk140_type', type, '#sk140': (a > $o) > a). 53.18/7.27 thf('#sk155_type', type, '#sk155': (a > $o) > a). 53.18/7.27 thf('#sk69_type', type, '#sk69': a > $o). 53.18/7.27 thf('#sk15_type', type, '#sk15': (a > $o) > a). 53.18/7.27 thf('#sk36_type', type, '#sk36': a). 53.18/7.27 thf('#sk132_type', type, '#sk132': (a > $o) > a). 53.18/7.27 thf('#sk26_type', type, '#sk26': a). 53.18/7.27 thf('#sk136_type', type, '#sk136': (a > $o) > a). 53.18/7.27 thf('#sk35_type', type, '#sk35': a). 53.18/7.27 thf('#sk45_type', type, '#sk45': a). 53.18/7.27 thf('#form205_type', type, '#form205': (a > $o) > $o). 53.18/7.27 thf('#form25_type', type, '#form25': $o). 53.18/7.27 thf('#form49_type', type, '#form49': (a > $o) > $o). 53.18/7.27 thf('#sk171_type', type, '#sk171': (a > $o) > a). 53.18/7.27 thf('#sk3_type', type, '#sk3': a). 53.18/7.27 thf('#sk1_type', type, '#sk1': a > a > $o). 53.18/7.27 thf('#sk70_type', type, '#sk70': a > $o). 53.18/7.27 thf('#sk50_type', type, '#sk50': (a > $o) > a). 53.18/7.27 thf('#sk2_type', type, '#sk2': a > a > $o). 53.18/7.27 thf('#form34_type', type, '#form34': $o). 53.18/7.27 thf('#sk206_type', type, '#sk206': (a > $o) > a). 53.18/7.27 thf('#sk62_type', type, '#sk62': (a > $o) > a). 53.18/7.27 thf(cTHM251H_pme, conjecture, 53.18/7.27 (![R:( a > a > $o ),S:( a > a > $o ),Xx:a,Xy:a]: 53.18/7.27 ( ( ![Xq:( a > $o )]: 53.18/7.27 ( ( ( ![Xw:a]: 53.18/7.27 ( ( ( R @ Xx @ Xw ) | ( S @ Xx @ Xw ) ) => ( Xq @ Xw ) ) ) & 53.18/7.27 ( ![Xu:a,Xv:a]: 53.18/7.27 ( ( ( ( S @ Xu @ Xv ) | ( R @ Xu @ Xv ) ) & ( Xq @ Xu ) ) => 53.18/7.27 ( Xq @ Xv ) ) ) ) => 53.18/7.27 ( Xq @ Xy ) ) ) | 53.18/7.27 ( ( ~( ![Xq:( a > $o )]: 53.18/7.27 ( ( ( ![Xw:a]: 53.18/7.27 ( ( ( R @ Xx @ Xw ) | ( S @ Xx @ Xw ) ) => ( Xq @ Xw ) ) ) & 53.18/7.27 ( ![Xu:a,Xv:a]: 53.18/7.27 ( ( ( ( R @ Xu @ Xv ) | ( S @ Xu @ Xv ) ) & ( Xq @ Xu ) ) => 53.18/7.27 ( Xq @ Xv ) ) ) ) => 53.18/7.27 ( Xq @ Xy ) ) ) ) & 53.18/7.27 ( ![Xx0:a,Xy0:a]: 53.18/7.27 ( ( ( ![Xq:( a > $o )]: 53.18/7.27 ( ( ( ![Xu:a,Xv:a]: 53.18/7.27 ( ( ( Xq @ Xu ) & ( S @ Xu @ Xv ) ) => ( Xq @ Xv ) ) ) & 53.18/7.27 ( ![Xw:a]: ( ( S @ Xx0 @ Xw ) => ( Xq @ Xw ) ) ) ) => 53.18/7.27 ( Xq @ Xy0 ) ) ) | 53.18/7.27 ( ![Xq:( a > $o )]: 53.18/7.27 ( ( ( ![Xw:a]: ( ( R @ Xx0 @ Xw ) => ( Xq @ Xw ) ) ) & 53.18/7.27 ( ![Xu:a,Xv:a]: 53.18/7.27 ( ( ( Xq @ Xu ) & ( R @ Xu @ Xv ) ) => ( Xq @ Xv ) ) ) ) => 53.18/7.27 ( Xq @ Xy0 ) ) ) ) => 53.18/7.27 ( ![Xq:( a > $o )]: 53.18/7.27 ( ( ( ![Xw:a]: 53.18/7.27 ( ( ( R @ Xx0 @ Xw ) | ( S @ Xx0 @ Xw ) ) => ( Xq @ Xw ) ) ) & 53.18/7.27 ( ![Xu:a,Xv:a]: 53.18/7.27 ( ( ( Xq @ Xu ) & ( ( S @ Xu @ Xv ) | ( R @ Xu @ Xv ) ) ) => 53.18/7.27 ( Xq @ Xv ) ) ) ) => 53.18/7.27 ( Xq @ Xy0 ) ) ) ) ) & 53.18/7.27 ( ![Xx0:a,Xy0:a,Xz:a]: 53.18/7.27 ( ( ( ![Xq:( a > $o )]: 53.18/7.27 ( ( ( ![Xw:a]: 53.18/7.27 ( ( ( R @ Xx0 @ Xw ) | ( S @ Xx0 @ Xw ) ) => ( Xq @ Xw ) ) ) & 53.18/7.27 ( ![Xu:a,Xv:a]: 53.18/7.27 ( ( ( ( R @ Xu @ Xv ) | ( S @ Xu @ Xv ) ) & ( Xq @ Xu ) ) => 53.18/7.27 ( Xq @ Xv ) ) ) ) => 53.18/7.27 ( Xq @ Xy0 ) ) ) & 53.18/7.27 ( ![Xq:( a > $o )]: 53.18/7.27 ( ( ( ![Xw:a]: 53.18/7.27 ( ( ( R @ Xy0 @ Xw ) | ( S @ Xy0 @ Xw ) ) => ( Xq @ Xw ) ) ) & 53.18/7.27 ( ![Xu:a,Xv:a]: 53.18/7.27 ( ( ( Xq @ Xu ) & ( ( S @ Xu @ Xv ) | ( R @ Xu @ Xv ) ) ) => 53.18/7.27 ( Xq @ Xv ) ) ) ) => 53.18/7.27 ( Xq @ Xz ) ) ) ) => 53.18/7.27 ( ![Xq:( a > $o )]: 53.18/7.27 ( ( ( ![Xw:a]: 53.18/7.27 ( ( ( S @ Xx0 @ Xw ) | ( R @ Xx0 @ Xw ) ) => ( Xq @ Xw ) ) ) & 53.18/7.27 ( ![Xu:a,Xv:a]: 53.18/7.27 ( ( ( Xq @ Xu ) & ( ( S @ Xu @ Xv ) | ( R @ Xu @ Xv ) ) ) => 53.18/7.27 ( Xq @ Xv ) ) ) ) => 53.18/7.27 ( Xq @ Xz ) ) ) ) ) ) ))). 53.18/7.27 thf(zf_stmt_0, negated_conjecture, 53.18/7.27 (~( ![R:( a > a > $o ),S:( a > a > $o ),Xx:a,Xy:a]: 53.18/7.27 ( ( ![Xq:( a > $o )]: 53.18/7.27 ( ( ( ![Xw:a]: 53.18/7.27 ( ( ( R @ Xx @ Xw ) | ( S @ Xx @ Xw ) ) => ( Xq @ Xw ) ) ) & 53.18/7.27 ( ![Xu:a,Xv:a]: 53.18/7.27 ( ( ( ( S @ Xu @ Xv ) | ( R @ Xu @ Xv ) ) & ( Xq @ Xu ) ) => 53.18/7.27 ( Xq @ Xv ) ) ) ) => 53.18/7.27 ( Xq @ Xy ) ) ) | 53.18/7.27 ( ( ~( ![Xq:( a > $o )]: 53.18/7.27 ( ( ( ![Xw:a]: 53.18/7.27 ( ( ( R @ Xx @ Xw ) | ( S @ Xx @ Xw ) ) => ( Xq @ Xw ) ) ) & 53.18/7.27 ( ![Xu:a,Xv:a]: 53.18/7.27 ( ( ( ( R @ Xu @ Xv ) | ( S @ Xu @ Xv ) ) & ( Xq @ Xu ) ) => 53.18/7.27 ( Xq @ Xv ) ) ) ) => 53.18/7.27 ( Xq @ Xy ) ) ) ) & 53.18/7.27 ( ![Xx0:a,Xy0:a]: 53.18/7.27 ( ( ( ![Xq:( a > $o )]: 53.18/7.27 ( ( ( ![Xu:a,Xv:a]: 53.18/7.27 ( ( ( Xq @ Xu ) & ( S @ Xu @ Xv ) ) => ( Xq @ Xv ) ) ) & 53.18/7.27 ( ![Xw:a]: ( ( S @ Xx0 @ Xw ) => ( Xq @ Xw ) ) ) ) => 53.18/7.27 ( Xq @ Xy0 ) ) ) | 53.18/7.27 ( ![Xq:( a > $o )]: 53.18/7.27 ( ( ( ![Xw:a]: ( ( R @ Xx0 @ Xw ) => ( Xq @ Xw ) ) ) & 53.18/7.27 ( ![Xu:a,Xv:a]: 53.18/7.27 ( ( ( Xq @ Xu ) & ( R @ Xu @ Xv ) ) => ( Xq @ Xv ) ) ) ) => 53.18/7.27 ( Xq @ Xy0 ) ) ) ) => 53.18/7.27 ( ![Xq:( a > $o )]: 53.18/7.27 ( ( ( ![Xw:a]: 53.18/7.27 ( ( ( R @ Xx0 @ Xw ) | ( S @ Xx0 @ Xw ) ) => 53.18/7.27 ( Xq @ Xw ) ) ) & 53.18/7.27 ( ![Xu:a,Xv:a]: 53.18/7.27 ( ( ( Xq @ Xu ) & ( ( S @ Xu @ Xv ) | ( R @ Xu @ Xv ) ) ) => 53.18/7.27 ( Xq @ Xv ) ) ) ) => 53.18/7.27 ( Xq @ Xy0 ) ) ) ) ) & 53.18/7.27 ( ![Xx0:a,Xy0:a,Xz:a]: 53.18/7.27 ( ( ( ![Xq:( a > $o )]: 53.18/7.27 ( ( ( ![Xw:a]: 53.18/7.27 ( ( ( R @ Xx0 @ Xw ) | ( S @ Xx0 @ Xw ) ) => 53.18/7.27 ( Xq @ Xw ) ) ) & 53.18/7.27 ( ![Xu:a,Xv:a]: 53.18/7.27 ( ( ( ( R @ Xu @ Xv ) | ( S @ Xu @ Xv ) ) & 53.18/7.27 ( Xq @ Xu ) ) => 53.18/7.27 ( Xq @ Xv ) ) ) ) => 53.18/7.27 ( Xq @ Xy0 ) ) ) & 53.18/7.27 ( ![Xq:( a > $o )]: 53.18/7.27 ( ( ( ![Xw:a]: 53.18/7.27 ( ( ( R @ Xy0 @ Xw ) | ( S @ Xy0 @ Xw ) ) => 53.18/7.27 ( Xq @ Xw ) ) ) & 53.18/7.27 ( ![Xu:a,Xv:a]: 53.18/7.27 ( ( ( Xq @ Xu ) & 53.18/7.27 ( ( S @ Xu @ Xv ) | ( R @ Xu @ Xv ) ) ) => 53.18/7.27 ( Xq @ Xv ) ) ) ) => 53.18/7.27 ( Xq @ Xz ) ) ) ) => 53.18/7.27 ( ![Xq:( a > $o )]: 53.18/7.27 ( ( ( ![Xw:a]: 53.18/7.27 ( ( ( S @ Xx0 @ Xw ) | ( R @ Xx0 @ Xw ) ) => 53.18/7.27 ( Xq @ Xw ) ) ) & 53.18/7.27 ( ![Xu:a,Xv:a]: 53.18/7.27 ( ( ( Xq @ Xu ) & ( ( S @ Xu @ Xv ) | ( R @ Xu @ Xv ) ) ) => 53.18/7.27 ( Xq @ Xv ) ) ) ) => 53.18/7.27 ( Xq @ Xz ) ) ) ) ) ) ) )), 53.18/7.27 inference('cnf.neg', [status(esa)], [cTHM251H_pme])). 53.18/7.27 thf(zip_derived_cl0, plain, 53.18/7.27 (~ (((!!) @ (^[Y0 : a > a > $o]: 53.18/7.27 (((!!) @ (^[Y1 : a > a > $o]: 53.18/7.27 (((!!) @ (^[Y2 : a]: 53.18/7.27 (((!!) @ (^[Y3 : a]: 53.18/7.27 (((((!!) @ (^[Y4 : a > $o]: 53.18/7.27 (( 53.18/7.27 (( 53.18/7.27 (( 53.18/7.27 (!!) @ ( 53.18/7.27 ^[Y5 : a]: 53.18/7.27 (( 53.18/7.27 (( 53.18/7.27 (Y0 @ 53.18/7.27 Y2 @ 53.18/7.27 Y5) | 53.18/7.27 (Y1 @ 53.18/7.27 Y2 @ Y5))) => 53.18/7.27 (Y4 @ Y5)))))) & 53.18/7.27 (( 53.18/7.27 (!!) @ ( 53.18/7.27 ^[Y5 : a]: 53.18/7.27 (( 53.18/7.27 (!!) @ ( 53.18/7.27 ^[Y6 : a]: 53.18/7.27 (( 53.18/7.27 (( 53.18/7.27 (( 53.18/7.27 (Y1 @ 53.18/7.27 Y5 @ 53.18/7.27 Y6) | 53.18/7.27 (Y0 @ 53.18/7.27 Y5 @ Y6))) & 53.18/7.27 (Y4 @ Y5))) => 53.18/7.27 (Y4 @ Y6))))))))))) => 53.18/7.27 (Y4 @ Y3)))))) | 53.18/7.27 (((((~) @ (( 53.18/7.27 (!!) @ ( 53.18/7.27 ^[Y4 : a > $o]: 53.18/7.27 (( 53.18/7.27 (( 53.18/7.27 (( 53.18/7.27 (!!) @ ( 53.18/7.27 ^[Y5 : a]: 53.18/7.27 (( 53.18/7.27 (( 53.18/7.27 (Y0 @ 53.18/7.27 Y2 @ 53.18/7.27 Y5) | 53.18/7.27 (Y1 @ 53.18/7.27 Y2 @ Y5))) => 53.18/7.27 (Y4 @ Y5)))))) & 53.18/7.27 (( 53.18/7.27 (!!) @ ( 53.18/7.27 ^[Y5 : a]: 53.18/7.27 (( 53.18/7.27 (!!) @ ( 53.18/7.27 ^[Y6 : a]: 53.18/7.27 (( 53.18/7.27 (( 53.18/7.27 (( 53.18/7.27 (Y0 @ 53.18/7.27 Y5 @ 53.18/7.27 Y6) | 53.18/7.27 (Y1 @ 53.18/7.27 Y5 @ Y6))) & 53.18/7.27 (Y4 @ Y5))) => 53.18/7.27 (Y4 @ Y6))))))))))) => 53.18/7.27 (Y4 @ Y3)))))))) & 53.18/7.27 (((!!) @ ( 53.18/7.27 ^[Y4 : a]: 53.18/7.27 (((!!) @ ( 53.18/7.27 ^[Y5 : a]: 53.18/7.27 (( 53.18/7.27 (( 53.18/7.27 (( 53.18/7.27 (!!) @ ( 53.18/7.27 ^[Y6 : a > $o]: 53.18/7.27 (( 53.18/7.27 (( 53.18/7.27 (( 53.18/7.27 (!!) @ ( 53.18/7.27 ^[Y7 : a]: 53.18/7.27 (( 53.18/7.27 (!!) @ ( 53.18/7.27 ^[Y8 : a]: 53.18/7.27 (( 53.18/7.27 (( 53.18/7.27 (Y6 @ 53.18/7.27 Y7) & 53.18/7.27 (Y1 @ 53.18/7.27 Y7 @ Y8))) => 53.18/7.27 (Y6 @ Y8))))))))) & 53.18/7.27 (( 53.18/7.27 (!!) @ ( 53.18/7.27 ^[Y7 : a]: 53.18/7.27 (( 53.18/7.27 (Y1 @ 53.18/7.27 Y4 @ 53.18/7.27 Y7) => 53.18/7.27 (Y6 @ Y7)))))))) => 53.18/7.27 (Y6 @ Y5)))))) | 53.18/7.27 (( 53.18/7.27 (!!) @ ( 53.18/7.27 ^[Y6 : a > $o]: 53.18/7.27 (( 53.18/7.27 (( 53.18/7.27 (( 53.18/7.27 (!!) @ ( 53.18/7.27 ^[Y7 : a]: 53.18/7.27 (( 53.18/7.27 (Y0 @ 53.18/7.27 Y4 @ 53.18/7.27 Y7) => 53.18/7.27 (Y6 @ Y7)))))) & 53.18/7.27 (( 53.18/7.27 (!!) @ ( 53.18/7.27 ^[Y7 : a]: 53.18/7.27 (( 53.18/7.27 (!!) @ ( 53.18/7.27 ^[Y8 : a]: 53.18/7.27 (( 53.18/7.27 (( 53.18/7.27 (Y6 @ 53.18/7.27 Y7) & 53.18/7.27 (Y0 @ 53.18/7.27 Y7 @ Y8))) => 53.18/7.27 (Y6 @ Y8))))))))))) => 53.18/7.27 (Y6 @ Y5)))))))) => 53.18/7.27 (( 53.18/7.27 (!!) @ ( 53.18/7.27 ^[Y6 : a > $o]: 53.18/7.27 (( 53.18/7.27 (( 53.18/7.27 (( 53.18/7.27 (!!) @ ( 53.18/7.27 ^[Y7 : a]: 53.18/7.27 (( 53.18/7.27 (( 53.18/7.27 (Y0 @ 53.18/7.27 Y4 @ 53.18/7.27 Y7) | 53.18/7.27 (Y1 @ 53.18/7.27 Y4 @ Y7))) => 53.18/7.27 (Y6 @ Y7)))))) & 53.18/7.27 (( 53.18/7.27 (!!) @ ( 53.18/7.27 ^[Y7 : a]: 53.18/7.27 (( 53.18/7.27 (!!) @ ( 53.18/7.27 ^[Y8 : a]: 53.18/7.27 (( 53.18/7.27 (( 53.18/7.27 (Y6 @ 53.18/7.27 Y7) & 53.18/7.27 (( 53.18/7.27 (Y1 @ 53.18/7.27 Y7 @ 53.18/7.27 Y8) | 53.18/7.27 (Y0 @ 53.18/7.27 Y7 @ Y8))))) => 53.18/7.27 (Y6 @ Y8))))))))))) => 53.18/7.27 (Y6 @ Y5)))))))))))))) & 53.18/7.27 (((!!) @ ( 53.18/7.27 ^[Y4 : a]: 53.18/7.27 (((!!) @ ( 53.18/7.27 ^[Y5 : a]: 53.18/7.27 (( 53.18/7.27 (!!) @ ( 53.18/7.27 ^[Y6 : a]: 53.18/7.27 (( 53.18/7.27 (( 53.18/7.27 (( 53.18/7.27 (!!) @ ( 53.18/7.27 ^[Y7 : a > $o]: 53.18/7.27 (( 53.18/7.27 (( 53.18/7.27 (( 53.18/7.27 (!!) @ ( 53.18/7.27 ^[Y8 : a]: 53.18/7.27 (( 53.18/7.27 (( 53.18/7.27 (Y0 @ 53.18/7.27 Y4 @ 53.18/7.27 Y8) | 53.18/7.27 (Y1 @ 53.18/7.27 Y4 @ Y8))) => 53.18/7.27 (Y7 @ Y8)))))) & 53.18/7.27 (( 53.18/7.27 (!!) @ ( 53.18/7.27 ^[Y8 : a]: 53.18/7.27 (( 53.18/7.27 (!!) @ ( 53.18/7.27 ^[Y9 : a]: 53.18/7.27 (( 53.18/7.27 (( 53.18/7.27 (( 53.18/7.27 (Y0 @ 53.18/7.27 Y8 @ 53.18/7.27 Y9) | 53.18/7.27 (Y1 @ 53.18/7.27 Y8 @ Y9))) & 53.18/7.27 (Y7 @ Y8))) => 53.18/7.27 (Y7 @ Y9))))))))))) => 53.18/7.27 (Y7 @ Y5)))))) & 53.18/7.27 (( 53.18/7.27 (!!) @ ( 53.18/7.27 ^[Y7 : a > $o]: 53.18/7.27 (( 53.18/7.27 (( 53.18/7.27 (( 53.18/7.27 (!!) @ ( 53.18/7.27 ^[Y8 : a]: 53.18/7.27 (( 53.18/7.27 (( 53.18/7.27 (Y0 @ 53.18/7.27 Y5 @ 53.18/7.27 Y8) | 53.18/7.27 (Y1 @ 53.18/7.27 Y5 @ Y8))) => 53.18/7.27 (Y7 @ Y8)))))) & 53.18/7.27 (( 53.18/7.27 (!!) @ ( 53.18/7.27 ^[Y8 : a]: 53.18/7.27 (( 53.18/7.27 (!!) @ ( 53.18/7.27 ^[Y9 : a]: 53.18/7.27 (( 53.18/7.27 (( 53.18/7.27 (Y7 @ 53.18/7.27 Y8) & 53.18/7.27 (( 53.18/7.27 (Y1 @ 53.18/7.27 Y8 @ 53.18/7.27 Y9) | 53.18/7.27 (Y0 @ 53.18/7.27 Y8 @ Y9))))) => 53.18/7.27 (Y7 @ Y9))))))))))) => 53.18/7.27 (Y7 @ Y6)))))))) => 53.18/7.27 (( 53.18/7.27 (!!) @ ( 53.18/7.27 ^[Y7 : a > $o]: 53.18/7.27 (( 53.18/7.27 (( 53.18/7.27 (( 53.18/7.27 (!!) @ ( 53.18/7.27 ^[Y8 : a]: 53.18/7.27 (( 53.18/7.27 (( 53.18/7.27 (Y1 @ 53.18/7.27 Y4 @ 53.18/7.27 Y8) | 53.18/7.27 (Y0 @ 53.18/7.27 Y4 @ Y8))) => 53.18/7.27 (Y7 @ Y8)))))) & 53.18/7.27 (( 53.18/7.27 (!!) @ ( 53.18/7.27 ^[Y8 : a]: 53.18/7.27 (( 53.18/7.27 (!!) @ ( 53.18/7.27 ^[Y9 : a]: 53.18/7.27 (( 53.18/7.27 (( 53.18/7.27 (Y7 @ 53.18/7.27 Y8) & 53.18/7.27 (( 53.18/7.27 (Y1 @ 53.18/7.27 Y8 @ 53.18/7.27 Y9) | 53.18/7.27 (Y0 @ 53.18/7.27 Y8 @ Y9))))) => 53.18/7.27 (Y7 @ Y9))))))))))) => 53.18/7.27 (Y7 @ Y6)))))))))))))))))))))))))))))))))), 53.18/7.27 inference('cnf', [status(esa)], [zf_stmt_0])). 53.18/7.27 thf(zip_derived_cl1, plain, 53.18/7.27 (~ (((!!) @ (^[Y0 : a > a > $o]: 53.18/7.27 (((!!) @ (^[Y1 : a]: 53.18/7.27 (((!!) @ (^[Y2 : a]: 53.18/7.27 (((((!!) @ (^[Y3 : a > $o]: 53.18/7.27 (((((((!!) @ ( 53.18/7.27 ^[Y4 : a]: 53.18/7.27 (((( 53.18/7.27 ('#sk1' @ 53.18/7.27 Y1 @ Y4) | 53.18/7.27 (Y0 @ 53.18/7.27 Y1 @ Y4))) => 53.18/7.27 (Y3 @ Y4)))))) & 53.18/7.27 (((!!) @ ( 53.18/7.27 ^[Y4 : a]: 53.18/7.27 (((!!) @ ( 53.18/7.27 ^[Y5 : a]: 53.18/7.27 (( 53.18/7.27 (( 53.18/7.27 (( 53.18/7.27 (Y0 @ 53.18/7.27 Y4 @ 53.18/7.27 Y5) | 53.18/7.27 ('#sk1' @ 53.18/7.27 Y4 @ Y5))) & 53.18/7.27 (Y3 @ Y4))) => 53.18/7.27 (Y3 @ Y5))))))))))) => 53.18/7.27 (Y3 @ Y2)))))) | 53.18/7.27 (((((~) @ (((!!) @ (^[Y3 : a > $o]: 53.18/7.27 (( 53.18/7.27 (( 53.18/7.27 (( 53.18/7.27 (!!) @ ( 53.18/7.27 ^[Y4 : a]: 53.18/7.27 (( 53.18/7.27 (( 53.18/7.27 ('#sk1' @ 53.18/7.27 Y1 @ 53.18/7.27 Y4) | 53.18/7.27 (Y0 @ 53.18/7.28 Y1 @ Y4))) => 53.18/7.28 (Y3 @ Y4)))))) & 53.18/7.28 (( 53.18/7.28 (!!) @ ( 53.18/7.28 ^[Y4 : a]: 53.18/7.28 (( 53.18/7.28 (!!) @ ( 53.18/7.28 ^[Y5 : a]: 53.18/7.28 (( 53.18/7.28 (( 53.18/7.28 (( 53.18/7.28 ('#sk1' @ 53.18/7.28 Y4 @ 53.18/7.28 Y5) | 53.18/7.28 (Y0 @ 53.18/7.28 Y4 @ Y5))) & 53.18/7.28 (Y3 @ Y4))) => 53.18/7.28 (Y3 @ Y5))))))))))) => 53.18/7.28 (Y3 @ Y2)))))))) & 53.18/7.28 (((!!) @ (^[Y3 : a]: 53.18/7.28 (((!!) @ ( 53.18/7.28 ^[Y4 : a]: 53.18/7.28 (((((( 53.18/7.28 (!!) @ ( 53.18/7.28 ^[Y5 : a > $o]: 53.18/7.28 (( 53.18/7.28 (( 53.18/7.28 (( 53.18/7.28 (!!) @ ( 53.18/7.28 ^[Y6 : a]: 53.18/7.28 (( 53.18/7.28 (!!) @ ( 53.18/7.28 ^[Y7 : a]: 53.18/7.28 (( 53.18/7.28 (( 53.18/7.28 (Y5 @ 53.18/7.28 Y6) & 53.18/7.28 (Y0 @ 53.18/7.28 Y6 @ Y7))) => 53.18/7.28 (Y5 @ Y7))))))))) & 53.18/7.28 (( 53.18/7.28 (!!) @ ( 53.18/7.28 ^[Y6 : a]: 53.18/7.28 (( 53.18/7.28 (Y0 @ 53.18/7.28 Y3 @ 53.18/7.28 Y6) => 53.18/7.28 (Y5 @ Y6)))))))) => 53.18/7.28 (Y5 @ Y4)))))) | 53.18/7.28 (( 53.18/7.28 (!!) @ ( 53.18/7.28 ^[Y5 : a > $o]: 53.18/7.28 (( 53.18/7.28 (( 53.18/7.28 (( 53.18/7.28 (!!) @ ( 53.18/7.28 ^[Y6 : a]: 53.18/7.28 (( 53.18/7.28 ('#sk1' @ 53.18/7.28 Y3 @ 53.18/7.28 Y6) => 53.18/7.28 (Y5 @ Y6)))))) & 53.18/7.28 (( 53.18/7.28 (!!) @ ( 53.18/7.28 ^[Y6 : a]: 53.18/7.28 (( 53.18/7.28 (!!) @ ( 53.18/7.28 ^[Y7 : a]: 53.18/7.28 (( 53.18/7.28 (( 53.18/7.28 (Y5 @ 53.18/7.28 Y6) & 53.18/7.28 ('#sk1' @ 53.18/7.28 Y6 @ Y7))) => 53.18/7.28 (Y5 @ Y7))))))))))) => 53.18/7.28 (Y5 @ Y4)))))))) => 53.18/7.28 (((!!) @ ( 53.18/7.28 ^[Y5 : a > $o]: 53.18/7.28 (( 53.18/7.28 (( 53.18/7.28 (( 53.18/7.28 (!!) @ ( 53.18/7.28 ^[Y6 : a]: 53.18/7.28 (( 53.18/7.28 (( 53.18/7.28 ('#sk1' @ 53.18/7.28 Y3 @ 53.18/7.28 Y6) | 53.18/7.28 (Y0 @ 53.18/7.28 Y3 @ Y6))) => 53.18/7.28 (Y5 @ Y6)))))) & 53.18/7.28 (( 53.18/7.28 (!!) @ ( 53.18/7.28 ^[Y6 : a]: 53.18/7.28 (( 53.18/7.28 (!!) @ ( 53.18/7.28 ^[Y7 : a]: 53.18/7.28 (( 53.18/7.28 (( 53.18/7.28 (Y5 @ 53.18/7.28 Y6) & 53.18/7.28 (( 53.18/7.28 (Y0 @ 53.18/7.28 Y6 @ 53.18/7.28 Y7) | 53.18/7.28 ('#sk1' @ 53.18/7.28 Y6 @ Y7))))) => 53.18/7.28 (Y5 @ Y7))))))))))) => 53.18/7.28 (Y5 @ Y4)))))))))))))) & 53.18/7.28 (((!!) @ (^[Y3 : a]: 53.18/7.28 (((!!) @ ( 53.18/7.28 ^[Y4 : a]: 53.18/7.28 (((!!) @ ( 53.18/7.28 ^[Y5 : a]: 53.18/7.28 (( 53.18/7.28 (( 53.18/7.28 (( 53.18/7.28 (!!) @ ( 53.18/7.28 ^[Y6 : a > $o]: 53.18/7.28 (( 53.18/7.28 (( 53.18/7.28 (( 53.18/7.28 (!!) @ ( 53.18/7.28 ^[Y7 : a]: 53.18/7.28 (( 53.18/7.28 (( 53.18/7.28 ('#sk1' @ 53.18/7.28 Y3 @ 53.18/7.28 Y7) | 53.18/7.28 (Y0 @ 53.18/7.28 Y3 @ Y7))) => 53.18/7.28 (Y6 @ Y7)))))) & 53.18/7.28 (( 53.18/7.28 (!!) @ ( 53.18/7.28 ^[Y7 : a]: 53.18/7.28 (( 53.18/7.28 (!!) @ ( 53.18/7.28 ^[Y8 : a]: 53.18/7.28 (( 53.18/7.28 (( 53.18/7.28 (( 53.18/7.28 ('#sk1' @ 53.18/7.28 Y7 @ 53.18/7.28 Y8) | 53.18/7.28 (Y0 @ 53.18/7.28 Y7 @ Y8))) & 53.18/7.28 (Y6 @ Y7))) => 53.18/7.28 (Y6 @ Y8))))))))))) => 53.18/7.28 (Y6 @ Y4)))))) & 53.18/7.28 (( 53.18/7.28 (!!) @ ( 53.18/7.28 ^[Y6 : a > $o]: 53.18/7.28 (( 53.18/7.28 (( 53.18/7.28 (( 53.18/7.28 (!!) @ ( 53.18/7.28 ^[Y7 : a]: 53.18/7.28 (( 53.18/7.28 (( 53.18/7.28 ('#sk1' @ 53.18/7.28 Y4 @ 53.18/7.28 Y7) | 53.18/7.28 (Y0 @ 53.18/7.28 Y4 @ Y7))) => 53.18/7.28 (Y6 @ Y7)))))) & 53.18/7.28 (( 53.18/7.28 (!!) @ ( 53.18/7.28 ^[Y7 : a]: 53.18/7.28 (( 53.18/7.28 (!!) @ ( 53.18/7.28 ^[Y8 : a]: 53.18/7.28 (( 53.18/7.28 (( 53.18/7.28 (Y6 @ 53.18/7.28 Y7) & 53.18/7.28 (( 53.18/7.28 (Y0 @ 53.18/7.28 Y7 @ 53.18/7.28 Y8) | 53.18/7.28 ('#sk1' @ 53.18/7.28 Y7 @ Y8))))) => 53.18/7.28 (Y6 @ Y8))))))))))) => 53.18/7.28 (Y6 @ Y5)))))))) => 53.18/7.28 (( 53.18/7.28 (!!) @ ( 53.18/7.28 ^[Y6 : a > $o]: 53.18/7.28 (( 53.18/7.28 (( 53.18/7.28 (( 53.18/7.28 (!!) @ ( 53.18/7.28 ^[Y7 : a]: 53.18/7.28 (( 53.18/7.28 (( 53.18/7.28 (Y0 @ 53.18/7.28 Y3 @ 53.18/7.28 Y7) | 53.18/7.28 ('#sk1' @ 53.18/7.28 Y3 @ Y7))) => 53.18/7.28 (Y6 @ Y7)))))) & 53.18/7.28 (( 53.18/7.28 (!!) @ ( 53.18/7.28 ^[Y7 : a]: 53.18/7.28 (( 53.18/7.28 (!!) @ ( 53.18/7.28 ^[Y8 : a]: 53.18/7.28 (( 53.18/7.28 (( 53.18/7.28 (Y6 @ 53.18/7.28 Y7) & 53.18/7.28 (( 53.18/7.28 (Y0 @ 53.18/7.28 Y7 @ 53.18/7.28 Y8) | 53.18/7.28 ('#sk1' @ 53.18/7.28 Y7 @ Y8))))) => 53.18/7.28 (Y6 @ Y8))))))))))) => 53.18/7.28 (Y6 @ Y5))))))))))))))))))))))))))))))), 53.18/7.28 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl0])). 53.18/7.28 thf(zip_derived_cl2, plain, 53.18/7.28 (~ (((!!) @ (^[Y0 : a]: 53.18/7.28 (((!!) @ (^[Y1 : a]: 53.18/7.28 (((((!!) @ (^[Y2 : a > $o]: 53.18/7.28 (((((((!!) @ (^[Y3 : a]: 53.18/7.28 ((((('#sk1' @ 53.18/7.28 Y0 @ Y3) | 53.18/7.28 ('#sk2' @ 53.18/7.28 Y0 @ Y3))) => 53.18/7.28 (Y2 @ Y3)))))) & 53.18/7.28 (((!!) @ (^[Y3 : a]: 53.18/7.28 (((!!) @ ( 53.18/7.28 ^[Y4 : a]: 53.18/7.28 (((( 53.18/7.28 (( 53.18/7.28 ('#sk2' @ 53.18/7.28 Y3 @ Y4) | 53.18/7.28 ('#sk1' @ 53.18/7.28 Y3 @ Y4))) & 53.18/7.28 (Y2 @ Y3))) => 53.18/7.28 (Y2 @ Y4))))))))))) => 53.18/7.28 (Y2 @ Y1)))))) | 53.18/7.28 (((((~) @ (((!!) @ (^[Y2 : a > $o]: 53.18/7.28 (((((((!!) @ ( 53.18/7.28 ^[Y3 : a]: 53.18/7.28 ((((('#sk1' @ 53.18/7.28 Y0 @ Y3) | 53.18/7.28 ('#sk2' @ 53.18/7.28 Y0 @ Y3))) => 53.18/7.28 (Y2 @ Y3)))))) & 53.18/7.28 (((!!) @ ( 53.18/7.28 ^[Y3 : a]: 53.18/7.28 (((!!) @ ( 53.18/7.28 ^[Y4 : a]: 53.18/7.28 (( 53.18/7.28 (( 53.18/7.28 (( 53.18/7.28 ('#sk1' @ 53.18/7.28 Y3 @ 53.18/7.28 Y4) | 53.18/7.28 ('#sk2' @ 53.18/7.28 Y3 @ Y4))) & 53.18/7.28 (Y2 @ Y3))) => 53.18/7.28 (Y2 @ Y4))))))))))) => 53.18/7.28 (Y2 @ Y1)))))))) & 53.18/7.28 (((!!) @ (^[Y2 : a]: 53.18/7.28 (((!!) @ (^[Y3 : a]: 53.18/7.28 (((((((!!) @ ( 53.18/7.28 ^[Y4 : a > $o]: 53.18/7.28 (( 53.18/7.28 (( 53.18/7.28 (( 53.18/7.28 (!!) @ ( 53.18/7.28 ^[Y5 : a]: 53.18/7.28 (( 53.18/7.28 (!!) @ ( 53.18/7.28 ^[Y6 : a]: 53.18/7.28 (( 53.18/7.28 (( 53.18/7.28 (Y4 @ 53.18/7.28 Y5) & 53.18/7.28 ('#sk2' @ 53.18/7.28 Y5 @ Y6))) => 53.18/7.28 (Y4 @ Y6))))))))) & 53.18/7.28 (( 53.18/7.28 (!!) @ ( 53.18/7.28 ^[Y5 : a]: 53.18/7.28 (( 53.18/7.28 ('#sk2' @ 53.18/7.28 Y2 @ 53.18/7.28 Y5) => 53.18/7.28 (Y4 @ Y5)))))))) => 53.18/7.28 (Y4 @ Y3)))))) | 53.18/7.28 (((!!) @ ( 53.18/7.28 ^[Y4 : a > $o]: 53.18/7.28 (( 53.18/7.28 (( 53.18/7.28 (( 53.18/7.28 (!!) @ ( 53.18/7.28 ^[Y5 : a]: 53.18/7.28 (( 53.18/7.28 ('#sk1' @ 53.18/7.28 Y2 @ 53.18/7.28 Y5) => 53.18/7.28 (Y4 @ Y5)))))) & 53.18/7.28 (( 53.18/7.28 (!!) @ ( 53.18/7.28 ^[Y5 : a]: 53.18/7.28 (( 53.18/7.28 (!!) @ ( 53.18/7.28 ^[Y6 : a]: 53.18/7.28 (( 53.18/7.28 (( 53.18/7.28 (Y4 @ 53.18/7.28 Y5) & 53.18/7.28 ('#sk1' @ 53.18/7.28 Y5 @ Y6))) => 53.18/7.28 (Y4 @ Y6))))))))))) => 53.18/7.28 (Y4 @ Y3)))))))) => 53.18/7.28 (((!!) @ ( 53.18/7.28 ^[Y4 : a > $o]: 53.18/7.28 (((( 53.18/7.28 (( 53.18/7.28 (!!) @ ( 53.18/7.28 ^[Y5 : a]: 53.18/7.28 (( 53.18/7.28 (( 53.18/7.28 ('#sk1' @ 53.18/7.28 Y2 @ 53.18/7.28 Y5) | 53.18/7.28 ('#sk2' @ 53.18/7.28 Y2 @ Y5))) => 53.18/7.28 (Y4 @ Y5)))))) & 53.18/7.28 (( 53.18/7.28 (!!) @ ( 53.18/7.28 ^[Y5 : a]: 53.18/7.28 (( 53.18/7.28 (!!) @ ( 53.18/7.28 ^[Y6 : a]: 53.18/7.28 (( 53.18/7.28 (( 53.18/7.28 (Y4 @ 53.18/7.28 Y5) & 53.18/7.28 (( 53.18/7.28 ('#sk2' @ 53.18/7.28 Y5 @ 53.18/7.28 Y6) | 53.18/7.28 ('#sk1' @ 53.18/7.28 Y5 @ Y6))))) => 53.18/7.28 (Y4 @ Y6))))))))))) => 53.18/7.28 (Y4 @ Y3)))))))))))))) & 53.18/7.28 (((!!) @ (^[Y2 : a]: 53.18/7.28 (((!!) @ (^[Y3 : a]: 53.18/7.28 (((!!) @ ( 53.18/7.28 ^[Y4 : a]: 53.18/7.28 (((((( 53.18/7.28 (!!) @ ( 53.18/7.28 ^[Y5 : a > $o]: 53.18/7.28 (( 53.18/7.28 (( 53.18/7.28 (( 53.18/7.28 (!!) @ ( 53.18/7.28 ^[Y6 : a]: 53.18/7.28 (( 53.18/7.28 (( 53.18/7.28 ('#sk1' @ 53.18/7.28 Y2 @ 53.18/7.28 Y6) | 53.18/7.28 ('#sk2' @ 53.18/7.28 Y2 @ Y6))) => 53.18/7.28 (Y5 @ Y6)))))) & 53.18/7.28 (( 53.18/7.28 (!!) @ ( 53.18/7.28 ^[Y6 : a]: 53.18/7.28 (( 53.18/7.28 (!!) @ ( 53.18/7.28 ^[Y7 : a]: 53.18/7.28 (( 53.18/7.28 (( 53.18/7.28 (( 53.18/7.28 ('#sk1' @ 53.18/7.28 Y6 @ 53.18/7.28 Y7) | 53.18/7.28 ('#sk2' @ 53.18/7.28 Y6 @ Y7))) & 53.18/7.28 (Y5 @ Y6))) => 53.18/7.28 (Y5 @ Y7))))))))))) => 53.18/7.28 (Y5 @ Y3)))))) & 53.18/7.28 (( 53.18/7.28 (!!) @ ( 53.18/7.28 ^[Y5 : a > $o]: 53.18/7.28 (( 53.18/7.28 (( 53.18/7.28 (( 53.18/7.28 (!!) @ ( 53.18/7.28 ^[Y6 : a]: 53.18/7.28 (( 53.18/7.28 (( 53.18/7.28 ('#sk1' @ 53.18/7.28 Y3 @ 53.18/7.28 Y6) | 53.18/7.28 ('#sk2' @ 53.18/7.28 Y3 @ Y6))) => 53.18/7.28 (Y5 @ Y6)))))) & 53.18/7.28 (( 53.18/7.28 (!!) @ ( 53.18/7.28 ^[Y6 : a]: 53.18/7.28 (( 53.18/7.28 (!!) @ ( 53.18/7.28 ^[Y7 : a]: 53.18/7.28 (( 53.18/7.28 (( 53.18/7.28 (Y5 @ 53.18/7.28 Y6) & 53.18/7.28 (( 53.18/7.28 ('#sk2' @ 53.18/7.28 Y6 @ 53.18/7.28 Y7) | 53.18/7.28 ('#sk1' @ 53.18/7.28 Y6 @ Y7))))) => 53.18/7.28 (Y5 @ Y7))))))))))) => 53.18/7.28 (Y5 @ Y4)))))))) => 53.18/7.28 (((!!) @ ( 53.18/7.28 ^[Y5 : a > $o]: 53.18/7.28 (( 53.18/7.28 (( 53.18/7.28 (( 53.18/7.28 (!!) @ ( 53.18/7.28 ^[Y6 : a]: 53.18/7.28 (( 53.18/7.28 (( 53.18/7.28 ('#sk2' @ 53.18/7.28 Y2 @ 53.18/7.28 Y6) | 53.18/7.28 ('#sk1' @ 53.18/7.28 Y2 @ Y6))) => 53.18/7.28 (Y5 @ Y6)))))) & 53.18/7.28 (( 53.18/7.28 (!!) @ ( 53.18/7.28 ^[Y6 : a]: 53.18/7.28 (( 53.18/7.28 (!!) @ ( 53.18/7.28 ^[Y7 : a]: 53.18/7.28 (( 53.18/7.28 (( 53.18/7.28 (Y5 @ 53.18/7.28 Y6) & 53.18/7.28 (( 53.18/7.28 ('#sk2' @ 53.18/7.28 Y6 @ 53.18/7.28 Y7) | 53.18/7.28 ('#sk1' @ 53.18/7.28 Y6 @ Y7))))) => 53.18/7.28 (Y5 @ Y7))))))))))) => 53.18/7.28 (Y5 @ Y4)))))))))))))))))))))))))))), 53.18/7.28 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl1])). 53.18/7.28 thf(zip_derived_cl3, plain, 53.18/7.28 (~ (((!!) @ (^[Y0 : a]: 53.18/7.28 (((((!!) @ (^[Y1 : a > $o]: 53.18/7.28 (((((((!!) @ (^[Y2 : a]: 53.18/7.28 ((((('#sk1' @ '#sk3' @ Y2) | 53.18/7.28 ('#sk2' @ '#sk3' @ Y2))) => 53.18/7.28 (Y1 @ Y2)))))) & 53.18/7.28 (((!!) @ (^[Y2 : a]: 53.18/7.28 (((!!) @ (^[Y3 : a]: 53.18/7.28 ((((((('#sk2' @ 53.18/7.28 Y2 @ Y3) | 53.18/7.28 ('#sk1' @ 53.18/7.28 Y2 @ Y3))) & 53.18/7.28 (Y1 @ Y2))) => 53.18/7.28 (Y1 @ Y3))))))))))) => 53.18/7.28 (Y1 @ Y0)))))) | 53.18/7.28 (((((~) @ (((!!) @ (^[Y1 : a > $o]: 53.18/7.28 (((((((!!) @ (^[Y2 : a]: 53.18/7.28 ((((('#sk1' @ 53.18/7.28 '#sk3' @ Y2) | 53.18/7.28 ('#sk2' @ 53.18/7.28 '#sk3' @ Y2))) => 53.18/7.28 (Y1 @ Y2)))))) & 53.18/7.28 (((!!) @ (^[Y2 : a]: 53.18/7.28 (((!!) @ ( 53.18/7.28 ^[Y3 : a]: 53.18/7.28 (((((( 53.18/7.28 ('#sk1' @ 53.18/7.28 Y2 @ Y3) | 53.18/7.28 ('#sk2' @ 53.18/7.28 Y2 @ Y3))) & 53.18/7.28 (Y1 @ Y2))) => 53.18/7.28 (Y1 @ Y3))))))))))) => 53.18/7.28 (Y1 @ Y0)))))))) & 53.18/7.28 (((!!) @ (^[Y1 : a]: 53.18/7.28 (((!!) @ (^[Y2 : a]: 53.18/7.28 (((((((!!) @ (^[Y3 : a > $o]: 53.18/7.28 (((((( 53.18/7.28 (!!) @ ( 53.18/7.28 ^[Y4 : a]: 53.18/7.28 (( 53.18/7.28 (!!) @ ( 53.18/7.28 ^[Y5 : a]: 53.18/7.28 (( 53.18/7.28 (( 53.18/7.28 (Y3 @ 53.18/7.28 Y4) & 53.18/7.28 ('#sk2' @ 53.18/7.28 Y4 @ Y5))) => 53.18/7.28 (Y3 @ Y5))))))))) & 53.18/7.28 (( 53.18/7.28 (!!) @ ( 53.18/7.28 ^[Y4 : a]: 53.18/7.28 (( 53.18/7.28 ('#sk2' @ 53.18/7.28 Y1 @ 53.18/7.28 Y4) => 53.18/7.28 (Y3 @ Y4)))))))) => 53.18/7.28 (Y3 @ Y2)))))) | 53.18/7.28 (((!!) @ (^[Y3 : a > $o]: 53.18/7.28 (((((( 53.18/7.28 (!!) @ ( 53.18/7.28 ^[Y4 : a]: 53.18/7.28 (( 53.18/7.28 ('#sk1' @ 53.18/7.28 Y1 @ 53.18/7.28 Y4) => 53.18/7.28 (Y3 @ Y4)))))) & 53.18/7.28 (( 53.18/7.28 (!!) @ ( 53.18/7.28 ^[Y4 : a]: 53.18/7.28 (( 53.18/7.28 (!!) @ ( 53.18/7.28 ^[Y5 : a]: 53.18/7.28 (( 53.18/7.28 (( 53.18/7.28 (Y3 @ 53.18/7.28 Y4) & 53.18/7.28 ('#sk1' @ 53.18/7.28 Y4 @ Y5))) => 53.18/7.28 (Y3 @ Y5))))))))))) => 53.18/7.28 (Y3 @ Y2)))))))) => 53.18/7.28 (((!!) @ (^[Y3 : a > $o]: 53.18/7.28 (((((((!!) @ ( 53.18/7.28 ^[Y4 : a]: 53.18/7.28 (( 53.18/7.28 (( 53.18/7.28 ('#sk1' @ 53.18/7.28 Y1 @ 53.18/7.28 Y4) | 53.18/7.28 ('#sk2' @ 53.18/7.28 Y1 @ Y4))) => 53.18/7.28 (Y3 @ Y4)))))) & 53.18/7.28 (((!!) @ ( 53.18/7.28 ^[Y4 : a]: 53.18/7.28 (( 53.18/7.28 (!!) @ ( 53.18/7.28 ^[Y5 : a]: 53.18/7.28 (( 53.18/7.28 (( 53.18/7.28 (Y3 @ 53.18/7.28 Y4) & 53.18/7.28 (( 53.18/7.28 ('#sk2' @ 53.18/7.28 Y4 @ 53.18/7.28 Y5) | 53.18/7.28 ('#sk1' @ 53.18/7.28 Y4 @ Y5))))) => 53.18/7.28 (Y3 @ Y5))))))))))) => 53.18/7.28 (Y3 @ Y2)))))))))))))) & 53.18/7.28 (((!!) @ (^[Y1 : a]: 53.18/7.28 (((!!) @ (^[Y2 : a]: 53.18/7.28 (((!!) @ (^[Y3 : a]: 53.18/7.28 (((((((!!) @ ( 53.18/7.28 ^[Y4 : a > $o]: 53.18/7.28 (( 53.18/7.28 (( 53.18/7.28 (( 53.18/7.28 (!!) @ ( 53.18/7.28 ^[Y5 : a]: 53.18/7.28 (( 53.18/7.28 (( 53.18/7.28 ('#sk1' @ 53.18/7.28 Y1 @ 53.18/7.28 Y5) | 53.18/7.28 ('#sk2' @ 53.18/7.28 Y1 @ Y5))) => 53.18/7.28 (Y4 @ Y5)))))) & 53.18/7.28 (( 53.18/7.28 (!!) @ ( 53.18/7.28 ^[Y5 : a]: 53.18/7.28 (( 53.18/7.28 (!!) @ ( 53.18/7.28 ^[Y6 : a]: 53.18/7.28 (( 53.18/7.28 (( 53.18/7.28 (( 53.18/7.28 ('#sk1' @ 53.18/7.28 Y5 @ 53.18/7.28 Y6) | 53.18/7.28 ('#sk2' @ 53.18/7.28 Y5 @ Y6))) & 53.18/7.28 (Y4 @ Y5))) => 53.18/7.28 (Y4 @ Y6))))))))))) => 53.18/7.28 (Y4 @ Y2)))))) & 53.18/7.28 (((!!) @ ( 53.18/7.28 ^[Y4 : a > $o]: 53.18/7.28 (( 53.18/7.28 (( 53.18/7.28 (( 53.18/7.28 (!!) @ ( 53.18/7.28 ^[Y5 : a]: 53.18/7.28 (( 53.18/7.28 (( 53.18/7.28 ('#sk1' @ 53.18/7.28 Y2 @ 53.18/7.28 Y5) | 53.18/7.28 ('#sk2' @ 53.18/7.28 Y2 @ Y5))) => 53.18/7.28 (Y4 @ Y5)))))) & 53.18/7.28 (( 53.18/7.28 (!!) @ ( 53.18/7.28 ^[Y5 : a]: 53.18/7.28 (( 53.18/7.28 (!!) @ ( 53.18/7.28 ^[Y6 : a]: 53.18/7.28 (( 53.18/7.28 (( 53.18/7.28 (Y4 @ 53.18/7.28 Y5) & 53.18/7.28 (( 53.18/7.28 ('#sk2' @ 53.18/7.28 Y5 @ 53.18/7.28 Y6) | 53.18/7.28 ('#sk1' @ 53.18/7.28 Y5 @ Y6))))) => 53.18/7.28 (Y4 @ Y6))))))))))) => 53.18/7.28 (Y4 @ Y3)))))))) => 53.18/7.28 (((!!) @ ( 53.18/7.28 ^[Y4 : a > $o]: 53.18/7.28 (((( 53.18/7.28 (( 53.18/7.28 (!!) @ ( 53.18/7.28 ^[Y5 : a]: 53.18/7.28 (( 53.18/7.28 (( 53.18/7.28 ('#sk2' @ 53.18/7.28 Y1 @ 53.18/7.28 Y5) | 53.18/7.28 ('#sk1' @ 53.18/7.28 Y1 @ Y5))) => 53.18/7.28 (Y4 @ Y5)))))) & 53.18/7.28 (( 53.18/7.28 (!!) @ ( 53.18/7.28 ^[Y5 : a]: 53.18/7.28 (( 53.18/7.28 (!!) @ ( 53.18/7.28 ^[Y6 : a]: 53.18/7.28 (( 53.18/7.28 (( 53.18/7.28 (Y4 @ 53.18/7.28 Y5) & 53.18/7.28 (( 53.18/7.28 ('#sk2' @ 53.18/7.28 Y5 @ 53.18/7.28 Y6) | 53.18/7.28 ('#sk1' @ 53.18/7.28 Y5 @ Y6))))) => 53.18/7.28 (Y4 @ Y6))))))))))) => 53.18/7.28 (Y4 @ Y3))))))))))))))))))))))))), 53.18/7.28 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl2])). 53.18/7.28 thf(zip_derived_cl4, plain, 53.18/7.28 (~ (((((!!) @ (^[Y0 : a > $o]: 53.18/7.28 (((((((!!) @ (^[Y1 : a]: 53.18/7.28 ((((('#sk1' @ '#sk3' @ Y1) | ('#sk2' @ 53.18/7.28 '#sk3' @ Y1))) => 53.18/7.28 (Y0 @ Y1)))))) & 53.18/7.28 (((!!) @ (^[Y1 : a]: 53.18/7.28 (((!!) @ (^[Y2 : a]: 53.18/7.28 ((((((('#sk2' @ Y1 @ Y2) | 53.18/7.28 ('#sk1' @ Y1 @ Y2))) & 53.18/7.28 (Y0 @ Y1))) => 53.18/7.28 (Y0 @ Y2))))))))))) => 53.18/7.28 (Y0 @ '#sk4')))))) | 53.18/7.28 (((((~) @ (((!!) @ (^[Y0 : a > $o]: 53.18/7.28 (((((((!!) @ (^[Y1 : a]: 53.18/7.28 ((((('#sk1' @ '#sk3' @ Y1) | 53.18/7.28 ('#sk2' @ '#sk3' @ Y1))) => 53.18/7.28 (Y0 @ Y1)))))) & 53.18/7.28 (((!!) @ (^[Y1 : a]: 53.18/7.28 (((!!) @ (^[Y2 : a]: 53.18/7.28 ((((((('#sk1' @ 53.18/7.28 Y1 @ Y2) | 53.18/7.28 ('#sk2' @ 53.18/7.28 Y1 @ Y2))) & 53.18/7.28 (Y0 @ Y1))) => 53.18/7.28 (Y0 @ Y2))))))))))) => 53.18/7.28 (Y0 @ '#sk4')))))))) & 53.18/7.28 (((!!) @ (^[Y0 : a]: 53.18/7.28 (((!!) @ (^[Y1 : a]: 53.18/7.28 (((((((!!) @ (^[Y2 : a > $o]: 53.18/7.28 (((((((!!) @ (^[Y3 : a]: 53.18/7.28 (( 53.18/7.28 (!!) @ ( 53.18/7.28 ^[Y4 : a]: 53.18/7.28 (( 53.18/7.28 (( 53.18/7.28 (Y2 @ 53.18/7.28 Y3) & 53.18/7.28 ('#sk2' @ 53.18/7.28 Y3 @ Y4))) => 53.18/7.28 (Y2 @ Y4))))))))) & 53.18/7.28 (((!!) @ (^[Y3 : a]: 53.18/7.28 (( 53.18/7.28 ('#sk2' @ 53.18/7.28 Y0 @ 53.18/7.28 Y3) => 53.18/7.28 (Y2 @ Y3)))))))) => 53.18/7.28 (Y2 @ Y1)))))) | 53.18/7.28 (((!!) @ (^[Y2 : a > $o]: 53.18/7.28 (((((((!!) @ (^[Y3 : a]: 53.18/7.28 (( 53.18/7.28 ('#sk1' @ 53.18/7.28 Y0 @ 53.18/7.28 Y3) => 53.18/7.28 (Y2 @ Y3)))))) & 53.18/7.28 (((!!) @ (^[Y3 : a]: 53.18/7.28 (( 53.18/7.28 (!!) @ ( 53.18/7.28 ^[Y4 : a]: 53.18/7.28 (( 53.18/7.28 (( 53.18/7.28 (Y2 @ 53.18/7.28 Y3) & 53.18/7.28 ('#sk1' @ 53.18/7.28 Y3 @ Y4))) => 53.18/7.28 (Y2 @ Y4))))))))))) => 53.18/7.28 (Y2 @ Y1)))))))) => 53.18/7.28 (((!!) @ (^[Y2 : a > $o]: 53.18/7.28 (((((((!!) @ (^[Y3 : a]: 53.18/7.28 (((( 53.18/7.28 ('#sk1' @ 53.18/7.28 Y0 @ Y3) | 53.18/7.28 ('#sk2' @ 53.18/7.28 Y0 @ Y3))) => 53.18/7.28 (Y2 @ Y3)))))) & 53.18/7.28 (((!!) @ (^[Y3 : a]: 53.18/7.28 (((!!) @ ( 53.18/7.28 ^[Y4 : a]: 53.18/7.28 (( 53.18/7.28 (( 53.18/7.28 (Y2 @ 53.18/7.28 Y3) & 53.18/7.28 (( 53.18/7.28 ('#sk2' @ 53.18/7.28 Y3 @ 53.18/7.28 Y4) | 53.18/7.28 ('#sk1' @ 53.18/7.28 Y3 @ Y4))))) => 53.18/7.28 (Y2 @ Y4))))))))))) => 53.18/7.28 (Y2 @ Y1)))))))))))))) & 53.18/7.28 (((!!) @ (^[Y0 : a]: 53.18/7.28 (((!!) @ (^[Y1 : a]: 53.18/7.28 (((!!) @ (^[Y2 : a]: 53.18/7.28 (((((((!!) @ (^[Y3 : a > $o]: 53.18/7.28 (((((( 53.18/7.28 (!!) @ ( 53.18/7.28 ^[Y4 : a]: 53.18/7.28 (( 53.18/7.28 (( 53.18/7.28 ('#sk1' @ 53.18/7.28 Y0 @ 53.18/7.28 Y4) | 53.18/7.28 ('#sk2' @ 53.18/7.28 Y0 @ Y4))) => 53.18/7.28 (Y3 @ Y4)))))) & 53.18/7.28 (( 53.18/7.28 (!!) @ ( 53.18/7.28 ^[Y4 : a]: 53.18/7.28 (( 53.18/7.28 (!!) @ ( 53.18/7.28 ^[Y5 : a]: 53.18/7.28 (( 53.18/7.28 (( 53.18/7.28 (( 53.18/7.28 ('#sk1' @ 53.18/7.28 Y4 @ 53.18/7.28 Y5) | 53.18/7.28 ('#sk2' @ 53.18/7.28 Y4 @ Y5))) & 53.18/7.28 (Y3 @ Y4))) => 53.18/7.28 (Y3 @ Y5))))))))))) => 53.18/7.28 (Y3 @ Y1)))))) & 53.18/7.28 (((!!) @ (^[Y3 : a > $o]: 53.18/7.28 (((((( 53.18/7.28 (!!) @ ( 53.18/7.28 ^[Y4 : a]: 53.18/7.28 (( 53.18/7.28 (( 53.18/7.28 ('#sk1' @ 53.18/7.28 Y1 @ 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53.18/7.28 (Y3 @ Y2)))))))))))))))))))))), 53.18/7.28 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl3])). 53.18/7.28 thf(zip_derived_cl6, plain, 53.18/7.28 (~ (((((~) @ (((!!) @ (^[Y0 : a > $o]: 53.18/7.28 (((((((!!) @ (^[Y1 : a]: 53.18/7.28 ((((('#sk1' @ '#sk3' @ Y1) | 53.18/7.28 ('#sk2' @ '#sk3' @ Y1))) => 53.18/7.28 (Y0 @ Y1)))))) & 53.18/7.28 (((!!) @ (^[Y1 : a]: 53.18/7.28 (((!!) @ (^[Y2 : a]: 53.18/7.28 ((((((('#sk1' @ 53.18/7.28 Y1 @ Y2) | 53.18/7.28 ('#sk2' @ 53.18/7.28 Y1 @ Y2))) & 53.18/7.28 (Y0 @ Y1))) => 53.18/7.28 (Y0 @ Y2))))))))))) => 53.18/7.28 (Y0 @ '#sk4')))))))) & 53.18/7.28 (((!!) @ (^[Y0 : a]: 53.18/7.28 (((!!) @ (^[Y1 : a]: 53.18/7.28 (((((((!!) @ (^[Y2 : a > $o]: 53.18/7.28 (((((((!!) @ (^[Y3 : a]: 53.18/7.28 (((!!) @ ( 53.18/7.28 ^[Y4 : a]: 53.18/7.28 (( 53.18/7.28 (( 53.18/7.28 (Y2 @ 53.18/7.28 Y3) & 53.18/7.28 ('#sk2' @ 53.18/7.28 Y3 @ Y4))) => 53.18/7.28 (Y2 @ Y4))))))))) & 53.18/7.28 (((!!) @ (^[Y3 : a]: 53.18/7.28 ((('#sk2' @ 53.18/7.28 Y0 @ 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& 53.18/7.28 (((!!) @ (^[Y0 : a]: 53.18/7.28 (((!!) @ (^[Y1 : a]: 53.18/7.28 (((!!) @ (^[Y2 : a]: 53.18/7.28 (((((((!!) @ (^[Y3 : a > $o]: 53.18/7.28 (((((((!!) @ ( 53.18/7.28 ^[Y4 : a]: 53.18/7.28 (( 53.18/7.28 (( 53.18/7.28 ('#sk1' @ 53.18/7.28 Y0 @ 53.18/7.28 Y4) | 53.18/7.28 ('#sk2' @ 53.18/7.28 Y0 @ Y4))) => 53.18/7.28 (Y3 @ Y4)))))) & 53.18/7.28 (((!!) @ ( 53.18/7.28 ^[Y4 : a]: 53.18/7.28 (( 53.18/7.28 (!!) @ ( 53.18/7.28 ^[Y5 : a]: 53.18/7.28 (( 53.18/7.28 (( 53.18/7.28 (( 53.18/7.28 ('#sk1' @ 53.18/7.28 Y4 @ 53.18/7.28 Y5) | 53.18/7.28 ('#sk2' @ 53.18/7.28 Y4 @ Y5))) & 53.18/7.28 (Y3 @ Y4))) => 53.18/7.28 (Y3 @ Y5))))))))))) => 53.18/7.28 (Y3 @ Y1)))))) & 53.18/7.28 (((!!) @ (^[Y3 : a > $o]: 53.18/7.28 (((((((!!) @ ( 53.18/7.28 ^[Y4 : a]: 53.18/7.28 (( 53.18/7.28 (( 53.18/7.28 ('#sk1' @ 53.18/7.28 Y1 @ 53.18/7.28 Y4) | 53.56/7.28 ('#sk2' @ 53.56/7.28 Y1 @ Y4))) => 53.56/7.28 (Y3 @ Y4)))))) & 53.56/7.28 (((!!) @ ( 53.56/7.28 ^[Y4 : a]: 53.56/7.28 (( 53.56/7.28 (!!) @ ( 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53.56/7.28 (Y3 @ Y5))))))))))) => 53.56/7.28 (Y3 @ Y2)))))))) => 53.56/7.28 (((!!) @ (^[Y3 : a > $o]: 53.56/7.28 (((((((!!) @ ( 53.56/7.28 ^[Y4 : a]: 53.56/7.28 ( 53.56/7.28 ( 53.56/7.28 (( 53.56/7.28 ('#sk2' @ 53.56/7.28 Y0 @ 53.56/7.28 Y4) | 53.56/7.28 ('#sk1' @ 53.56/7.28 Y0 @ Y4))) => 53.56/7.28 (Y3 @ Y4)))))) & 53.56/7.28 (((!!) @ ( 53.56/7.28 ^[Y4 : a]: 53.56/7.28 ( 53.56/7.28 ( 53.56/7.28 (!!) @ ( 53.56/7.28 ^[Y5 : a]: 53.56/7.28 (( 53.56/7.28 (( 53.56/7.28 (Y3 @ 53.56/7.28 Y4) & 53.56/7.28 (( 53.56/7.28 ('#sk2' @ 53.56/7.28 Y4 @ 53.56/7.28 Y5) | 53.56/7.28 ('#sk1' @ 53.56/7.28 Y4 @ Y5))))) => 53.56/7.28 (Y3 @ Y5))))))))))) => 53.56/7.28 (Y3 @ Y2))))))))))))))))))), 53.56/7.28 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl6])). 53.56/7.28 thf(zip_derived_cl11, plain, 53.56/7.28 (![X2 : a > $o]: 53.56/7.28 ( (((((((!!) @ (^[Y0 : a]: 53.56/7.28 ((((('#sk1' @ '#sk3' @ Y0) | ('#sk2' @ '#sk3' @ Y0))) => 53.56/7.28 (X2 @ Y0)))))) & 53.56/7.28 (((!!) @ (^[Y0 : a]: 53.56/7.28 (((!!) @ (^[Y1 : a]: 53.56/7.28 ((((((('#sk1' @ Y0 @ Y1) | ('#sk2' @ 53.56/7.28 Y0 @ Y1))) & 53.56/7.28 (X2 @ Y0))) => 53.56/7.28 (X2 @ Y1))))))))))) => 53.56/7.28 (X2 @ '#sk4'))) 53.56/7.28 | ~ (((!!) @ (^[Y0 : a]: 53.56/7.28 (((!!) @ (^[Y1 : a]: 53.56/7.28 (((!!) @ (^[Y2 : a]: 53.56/7.28 (((((((!!) @ (^[Y3 : a > $o]: 53.56/7.28 (((((( 53.56/7.28 (!!) @ ( 53.56/7.28 ^[Y4 : a]: 53.56/7.28 (( 53.56/7.28 (( 53.56/7.28 ('#sk1' @ 53.56/7.28 Y0 @ 53.56/7.28 Y4) | 53.56/7.28 ('#sk2' @ 53.56/7.28 Y0 @ Y4))) => 53.56/7.28 (Y3 @ Y4)))))) & 53.56/7.28 (( 53.56/7.28 (!!) @ ( 53.56/7.28 ^[Y4 : a]: 53.56/7.28 (( 53.56/7.28 (!!) @ ( 53.56/7.28 ^[Y5 : a]: 53.56/7.28 (( 53.56/7.28 (( 53.56/7.28 (( 53.56/7.28 ('#sk1' @ 53.56/7.28 Y4 @ 53.56/7.28 Y5) | 53.56/7.28 ('#sk2' @ 53.56/7.28 Y4 @ Y5))) & 53.56/7.28 (Y3 @ Y4))) => 53.56/7.28 (Y3 @ Y5))))))))))) => 53.56/7.28 (Y3 @ Y1)))))) & 53.56/7.28 (((!!) @ (^[Y3 : a > $o]: 53.56/7.28 (((((( 53.56/7.28 (!!) @ ( 53.56/7.28 ^[Y4 : a]: 53.56/7.28 (( 53.56/7.28 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53.56/7.28 (Y2 @ Y4))))))))))) => 53.56/7.28 (Y2 @ Y1)))))))) => 53.56/7.28 (((!!) @ (^[Y2 : a > $o]: 53.56/7.28 (((((((!!) @ (^[Y3 : a]: 53.56/7.28 (((( 53.56/7.28 ('#sk1' @ 53.56/7.28 Y0 @ 53.56/7.28 Y3) | 53.56/7.28 ('#sk2' @ 53.56/7.28 Y0 @ Y3))) => 53.56/7.28 (Y2 @ Y3)))))) & 53.56/7.28 (((!!) @ (^[Y3 : a]: 53.56/7.28 (((!!) @ ( 53.56/7.28 ^[Y4 : a]: 53.56/7.28 (( 53.56/7.28 (( 53.56/7.28 (Y2 @ 53.56/7.28 Y3) & 53.56/7.28 (( 53.56/7.28 ('#sk2' @ 53.56/7.28 Y3 @ 53.56/7.28 Y4) | 53.56/7.28 ('#sk1' @ 53.56/7.28 Y3 @ Y4))))) => 53.56/7.28 (Y2 @ Y4))))))))))) => 53.56/7.28 (Y2 @ Y1)))))))))))))))), 53.56/7.28 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl8])). 53.56/7.28 thf(zip_derived_cl15, plain, 53.56/7.28 (![X2 : a > $o]: 53.56/7.28 (~ (((((!!) @ (^[Y0 : a]: 53.56/7.28 ((((('#sk1' @ '#sk3' @ Y0) | ('#sk2' @ '#sk3' @ Y0))) => 53.56/7.28 (X2 @ Y0)))))) & 53.56/7.28 (((!!) @ (^[Y0 : a]: 53.56/7.28 (((!!) @ (^[Y1 : a]: 53.56/7.28 ((((((('#sk1' @ Y0 @ Y1) | ('#sk2' @ 53.56/7.28 Y0 @ Y1))) & 53.56/7.28 (X2 @ Y0))) => 53.56/7.28 (X2 @ Y1))))))))))) 53.56/7.28 | (X2 @ '#sk4') 53.56/7.28 | ~ (((!!) @ (^[Y0 : a]: 53.56/7.28 (((!!) @ (^[Y1 : a]: 53.56/7.28 (((((((!!) @ (^[Y2 : a > $o]: 53.56/7.28 (((((((!!) @ (^[Y3 : a]: 53.56/7.28 ( 53.56/7.28 ( 53.56/7.28 (!!) @ ( 53.56/7.28 ^[Y4 : a]: 53.56/7.28 (( 53.56/7.28 (( 53.56/7.28 (Y2 @ 53.56/7.28 Y3) & 53.56/7.28 ('#sk2' @ 53.56/7.28 Y3 @ Y4))) => 53.56/7.28 (Y2 @ Y4))))))))) & 53.56/7.28 (((!!) @ (^[Y3 : a]: 53.56/7.28 ( 53.56/7.28 ( 53.56/7.28 ('#sk2' @ 53.56/7.28 Y0 @ 53.56/7.28 Y3) => 53.56/7.28 (Y2 @ Y3)))))))) => 53.56/7.28 (Y2 @ Y1)))))) | 53.56/7.28 (((!!) @ (^[Y2 : a > $o]: 53.56/7.28 (((((((!!) @ (^[Y3 : a]: 53.56/7.28 ( 53.56/7.28 ( 53.56/7.28 ('#sk1' @ 53.56/7.28 Y0 @ 53.56/7.28 Y3) => 53.56/7.28 (Y2 @ Y3)))))) & 53.56/7.28 (((!!) @ (^[Y3 : a]: 53.56/7.28 ( 53.56/7.28 ( 53.56/7.28 (!!) @ ( 53.56/7.28 ^[Y4 : a]: 53.56/7.28 (( 53.56/7.28 (( 53.56/7.28 (Y2 @ 53.56/7.28 Y3) & 53.56/7.28 ('#sk1' @ 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53.56/7.28 (( 53.56/7.28 (( 53.56/7.28 (Y2 @ 53.56/7.28 Y3) & 53.56/7.28 (( 53.56/7.28 ('#sk2' @ 53.56/7.28 Y3 @ 53.56/7.28 Y4) | 53.56/7.28 ('#sk1' @ 53.56/7.28 Y3 @ Y4))))) => 53.56/7.28 (Y2 @ Y4))))))))))) => 53.56/7.28 (Y2 @ Y1)))))))))))))) 53.56/7.28 | (X2 @ '#sk4'))), 53.56/7.28 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl21])). 53.56/7.28 thf(zip_derived_cl28, plain, 53.56/7.28 (( ('#form25') 53.56/7.28 | ~ (((!!) @ (^[Y0 : a]: 53.56/7.28 (((!!) @ (^[Y1 : a]: 53.56/7.28 (((!!) @ (^[Y2 : a]: 53.56/7.28 (((((((!!) @ (^[Y3 : a > $o]: 53.56/7.28 (((((((!!) @ ( 53.56/7.28 ^[Y4 : a]: 53.56/7.28 (( 53.56/7.28 (( 53.56/7.28 ('#sk1' @ 53.56/7.28 Y0 @ 53.56/7.28 Y4) | 53.56/7.28 ('#sk2' @ 53.56/7.28 Y0 @ Y4))) => 53.56/7.28 (Y3 @ Y4)))))) & 53.56/7.28 (((!!) @ ( 53.56/7.28 ^[Y4 : a]: 53.56/7.28 (( 53.56/7.28 (!!) @ ( 53.56/7.28 ^[Y5 : a]: 53.56/7.28 (( 53.56/7.28 (( 53.56/7.28 (( 53.56/7.28 ('#sk1' @ 53.56/7.28 Y4 @ 53.56/7.28 Y5) | 53.56/7.28 ('#sk2' @ 53.56/7.28 Y4 @ Y5))) & 53.56/7.28 (Y3 @ Y4))) => 53.56/7.28 (Y3 @ Y5))))))))))) => 53.56/7.28 (Y3 @ Y1)))))) & 53.56/7.28 (((!!) @ (^[Y3 : a > $o]: 53.56/7.28 (((((((!!) @ ( 53.56/7.28 ^[Y4 : a]: 53.56/7.28 (( 53.56/7.28 (( 53.56/7.28 ('#sk1' @ 53.56/7.28 Y1 @ 53.56/7.28 Y4) | 53.56/7.28 ('#sk2' @ 53.56/7.28 Y1 @ Y4))) => 53.56/7.28 (Y3 @ Y4)))))) & 53.56/7.28 (((!!) @ ( 53.56/7.28 ^[Y4 : a]: 53.56/7.28 (( 53.56/7.28 (!!) @ ( 53.56/7.28 ^[Y5 : a]: 53.56/7.28 (( 53.56/7.28 (( 53.56/7.28 (Y3 @ 53.56/7.28 Y4) & 53.56/7.28 (( 53.56/7.28 ('#sk2' @ 53.56/7.28 Y4 @ 53.56/7.28 Y5) | 53.56/7.28 ('#sk1' @ 53.56/7.28 Y4 @ Y5))))) => 53.56/7.28 (Y3 @ Y5))))))))))) => 53.56/7.28 (Y3 @ Y2)))))))) => 53.56/7.28 (((!!) @ (^[Y3 : a > $o]: 53.56/7.28 (((((((!!) @ ( 53.56/7.28 ^[Y4 : a]: 53.56/7.28 ( 53.56/7.28 ( 53.56/7.28 (( 53.56/7.28 ('#sk2' @ 53.56/7.28 Y0 @ 53.56/7.28 Y4) | 53.56/7.28 ('#sk1' @ 53.56/7.28 Y0 @ Y4))) => 53.56/7.28 (Y3 @ Y4)))))) & 53.56/7.28 (((!!) @ ( 53.56/7.28 ^[Y4 : a]: 53.56/7.28 ( 53.56/7.28 ( 53.56/7.28 (!!) @ ( 53.56/7.28 ^[Y5 : a]: 53.56/7.28 (( 53.56/7.28 (( 53.56/7.28 (Y3 @ 53.56/7.28 Y4) & 53.56/7.28 (( 53.56/7.28 ('#sk2' @ 53.56/7.28 Y4 @ 53.56/7.28 Y5) | 53.56/7.28 ('#sk1' @ 53.56/7.28 Y4 @ Y5))))) => 53.56/7.28 (Y3 @ Y5))))))))))) => 53.56/7.28 (Y3 @ Y2))))))))))))))))))), 53.56/7.28 define([status(thm)])). 53.56/7.28 thf(zip_derived_cl29, plain, 53.56/7.28 ((~ (((!!) @ (^[Y0 : a]: 53.56/7.28 (((!!) @ (^[Y1 : a]: 53.56/7.28 (((((((!!) @ (^[Y2 : a > $o]: 53.56/7.28 (((((((!!) @ (^[Y3 : a]: 53.56/7.28 ((((('#sk1' @ 53.56/7.28 '#sk26' @ 53.56/7.28 Y3) | 53.56/7.28 ('#sk2' @ 53.56/7.28 '#sk26' @ 53.56/7.28 Y3))) => 53.56/7.28 (Y2 @ Y3)))))) & 53.56/7.28 (((!!) @ (^[Y3 : a]: 53.56/7.28 (((!!) @ ( 53.56/7.28 ^[Y4 : a]: 53.56/7.28 ( 53.56/7.28 ( 53.56/7.28 (( 53.56/7.28 (( 53.56/7.28 ('#sk1' @ 53.56/7.28 Y3 @ 53.56/7.28 Y4) | 53.56/7.28 ('#sk2' @ 53.56/7.28 Y3 @ Y4))) & 53.56/7.28 (Y2 @ Y3))) => 53.56/7.28 (Y2 @ Y4))))))))))) => 53.56/7.28 (Y2 @ Y0)))))) & 53.56/7.28 (((!!) @ (^[Y2 : a > $o]: 53.56/7.28 (((((((!!) @ (^[Y3 : a]: 53.56/7.28 ((((('#sk1' @ 53.56/7.28 Y0 @ 53.56/7.28 Y3) | 53.56/7.28 ('#sk2' @ 53.56/7.28 Y0 @ Y3))) => 53.56/7.28 (Y2 @ Y3)))))) & 53.56/7.28 (((!!) @ (^[Y3 : a]: 53.56/7.28 (((!!) @ ( 53.56/7.28 ^[Y4 : a]: 53.56/7.28 ( 53.56/7.28 ( 53.56/7.28 (( 53.56/7.28 (Y2 @ 53.56/7.28 Y3) & 53.56/7.28 (( 53.56/7.28 ('#sk2' @ 53.56/7.28 Y3 @ 53.56/7.28 Y4) | 53.56/7.28 ('#sk1' @ 53.56/7.28 Y3 @ Y4))))) => 53.56/7.28 (Y2 @ Y4))))))))))) => 53.56/7.28 (Y2 @ Y1)))))))) => 53.56/7.28 (((!!) @ (^[Y2 : a > $o]: 53.56/7.28 (((((((!!) @ (^[Y3 : a]: 53.56/7.28 ((((('#sk2' @ 53.56/7.28 '#sk26' @ 53.56/7.28 Y3) | 53.56/7.28 ('#sk1' @ 53.56/7.28 '#sk26' @ 53.56/7.28 Y3))) => 53.56/7.28 (Y2 @ Y3)))))) & 53.56/7.28 (((!!) @ (^[Y3 : a]: 53.56/7.28 (((!!) @ ( 53.56/7.28 ^[Y4 : a]: 53.56/7.28 (((( 53.56/7.28 (Y2 @ 53.56/7.28 Y3) & 53.56/7.28 (( 53.56/7.28 ('#sk2' @ 53.56/7.28 Y3 @ 53.56/7.28 Y4) | 53.56/7.28 ('#sk1' @ 53.56/7.28 Y3 @ Y4))))) => 53.56/7.28 (Y2 @ Y4))))))))))) => 53.56/7.28 (Y2 @ Y1)))))))))))))) 53.56/7.28 | ('#form25'))), 53.56/7.28 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl28])). 53.56/7.28 thf(zip_derived_cl37, plain, 53.56/7.28 ((~ (((!!) @ (^[Y0 : a]: 53.56/7.28 (((((((!!) @ (^[Y1 : a > $o]: 53.56/7.28 (((((((!!) @ (^[Y2 : a]: 53.56/7.28 ((((('#sk1' @ '#sk26' @ 53.56/7.28 Y2) | ('#sk2' @ 53.56/7.28 '#sk26' @ Y2))) => 53.56/7.28 (Y1 @ Y2)))))) & 53.56/7.28 (((!!) @ (^[Y2 : a]: 53.56/7.28 (((!!) @ (^[Y3 : a]: 53.56/7.28 (((((( 53.56/7.28 ('#sk1' @ 53.56/7.28 Y2 @ 53.56/7.28 Y3) | 53.56/7.28 ('#sk2' @ 53.56/7.28 Y2 @ Y3))) & 53.56/7.28 (Y1 @ Y2))) => 53.56/7.28 (Y1 @ Y3))))))))))) => 53.56/7.28 (Y1 @ '#sk36')))))) & 53.56/7.28 (((!!) @ (^[Y1 : a > $o]: 53.56/7.28 (((((((!!) @ (^[Y2 : a]: 53.56/7.28 ((((('#sk1' @ '#sk36' @ 53.56/7.28 Y2) | ('#sk2' @ 53.56/7.28 '#sk36' @ Y2))) => 53.56/7.28 (Y1 @ Y2)))))) & 53.56/7.28 (((!!) @ (^[Y2 : a]: 53.56/7.28 (((!!) @ (^[Y3 : a]: 53.56/7.28 (((((Y1 @ 53.56/7.28 Y2) & 53.56/7.28 (( 53.56/7.28 ('#sk2' @ 53.56/7.28 Y2 @ 53.56/7.28 Y3) | 53.56/7.28 ('#sk1' @ 53.56/7.28 Y2 @ Y3))))) => 53.56/7.28 (Y1 @ Y3))))))))))) => 53.56/7.28 (Y1 @ Y0)))))))) => 53.56/7.28 (((!!) @ (^[Y1 : a > $o]: 53.56/7.28 (((((((!!) @ (^[Y2 : a]: 53.56/7.28 ((((('#sk2' @ '#sk26' @ 53.56/7.28 Y2) | ('#sk1' @ 53.56/7.28 '#sk26' @ Y2))) => 53.56/7.28 (Y1 @ Y2)))))) & 53.56/7.28 (((!!) @ (^[Y2 : a]: 53.56/7.28 (((!!) @ (^[Y3 : a]: 53.56/7.28 (((((Y1 @ Y2) & 53.56/7.28 ((('#sk2' @ 53.56/7.28 Y2 @ 53.56/7.28 Y3) | 53.56/7.28 ('#sk1' @ 53.56/7.28 Y2 @ Y3))))) => 53.56/7.28 (Y1 @ Y3))))))))))) => 53.56/7.28 (Y1 @ Y0))))))))))) 53.56/7.28 | ('#form25'))), 53.56/7.28 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl29])). 53.56/7.28 thf(zip_derived_cl41, plain, 53.56/7.28 ((~ (((((((!!) @ (^[Y0 : a > $o]: 53.56/7.28 (((((((!!) @ (^[Y1 : a]: 53.56/7.28 ((((('#sk1' @ '#sk26' @ Y1) | 53.56/7.28 ('#sk2' @ '#sk26' @ Y1))) => 53.56/7.28 (Y0 @ Y1)))))) & 53.56/7.28 (((!!) @ (^[Y1 : a]: 53.56/7.28 (((!!) @ (^[Y2 : a]: 53.56/7.28 ((((((('#sk1' @ Y1 @ 53.56/7.28 Y2) | ('#sk2' @ 53.56/7.28 Y1 @ Y2))) & 53.56/7.28 (Y0 @ Y1))) => 53.56/7.28 (Y0 @ Y2))))))))))) => 53.56/7.28 (Y0 @ '#sk36')))))) & 53.56/7.28 (((!!) @ (^[Y0 : a > $o]: 53.56/7.28 (((((((!!) @ (^[Y1 : a]: 53.56/7.28 ((((('#sk1' @ '#sk36' @ Y1) | 53.56/7.28 ('#sk2' @ '#sk36' @ Y1))) => 53.56/7.28 (Y0 @ Y1)))))) & 53.56/7.28 (((!!) @ (^[Y1 : a]: 53.56/7.28 (((!!) @ (^[Y2 : a]: 53.56/7.28 (((((Y0 @ Y1) & 53.56/7.28 ((('#sk2' @ Y1 @ 53.56/7.28 Y2) | ('#sk1' @ 53.56/7.28 Y1 @ Y2))))) => 53.56/7.28 (Y0 @ Y2))))))))))) => 53.56/7.28 (Y0 @ '#sk45')))))))) => 53.56/7.28 (((!!) @ (^[Y0 : a > $o]: 53.56/7.28 (((((((!!) @ (^[Y1 : a]: 53.56/7.28 ((((('#sk2' @ '#sk26' @ Y1) | 53.56/7.28 ('#sk1' @ '#sk26' @ Y1))) => 53.56/7.28 (Y0 @ Y1)))))) & 53.56/7.28 (((!!) @ (^[Y1 : a]: 53.56/7.28 (((!!) @ (^[Y2 : a]: 53.56/7.28 (((((Y0 @ Y1) & 53.56/7.28 ((('#sk2' @ Y1 @ Y2) | 53.56/7.28 ('#sk1' @ Y1 @ Y2))))) => 53.56/7.28 (Y0 @ Y2))))))))))) => 53.56/7.28 (Y0 @ '#sk45')))))))) 53.56/7.28 | ('#form25'))), 53.56/7.28 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl37])). 53.56/7.28 thf(zip_derived_cl48, plain, 53.56/7.28 (( (((((!!) @ (^[Y0 : a > $o]: 53.56/7.28 (((((((!!) @ (^[Y1 : a]: 53.56/7.28 ((((('#sk1' @ '#sk26' @ Y1) | ('#sk2' @ 53.56/7.28 '#sk26' @ Y1))) => 53.56/7.28 (Y0 @ Y1)))))) & 53.56/7.28 (((!!) @ (^[Y1 : a]: 53.56/7.28 (((!!) @ (^[Y2 : a]: 53.56/7.28 ((((((('#sk1' @ Y1 @ Y2) | 53.56/7.28 ('#sk2' @ Y1 @ Y2))) & 53.56/7.28 (Y0 @ Y1))) => 53.56/7.28 (Y0 @ Y2))))))))))) => 53.56/7.28 (Y0 @ '#sk36')))))) & 53.56/7.28 (((!!) @ (^[Y0 : a > $o]: 53.56/7.28 (((((((!!) @ (^[Y1 : a]: 53.56/7.28 ((((('#sk1' @ '#sk36' @ Y1) | ('#sk2' @ 53.56/7.28 '#sk36' @ Y1))) => 53.56/7.28 (Y0 @ Y1)))))) & 53.56/7.28 (((!!) @ (^[Y1 : a]: 53.56/7.28 (((!!) @ (^[Y2 : a]: 53.56/7.28 (((((Y0 @ Y1) & 53.56/7.28 ((('#sk2' @ Y1 @ Y2) | 53.56/7.28 ('#sk1' @ Y1 @ Y2))))) => 53.56/7.28 (Y0 @ Y2))))))))))) => 53.56/7.28 (Y0 @ '#sk45')))))))) 53.56/7.28 | ('#form25'))), 53.56/7.28 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl41])). 53.56/7.28 thf(zip_derived_cl56, plain, 53.56/7.28 (( (((!!) @ (^[Y0 : a > $o]: 53.56/7.28 (((((((!!) @ (^[Y1 : a]: 53.56/7.28 ((((('#sk1' @ '#sk36' @ Y1) | ('#sk2' @ 53.56/7.28 '#sk36' @ Y1))) => 53.56/7.28 (Y0 @ Y1)))))) & 53.56/7.28 (((!!) @ (^[Y1 : a]: 53.56/7.28 (((!!) @ (^[Y2 : a]: 53.56/7.28 (((((Y0 @ Y1) & 53.56/7.28 ((('#sk2' @ Y1 @ Y2) | 53.56/7.28 ('#sk1' @ Y1 @ Y2))))) => 53.56/7.28 (Y0 @ Y2))))))))))) => 53.56/7.28 (Y0 @ '#sk45')))))) 53.56/7.28 | ('#form25'))), 53.56/7.28 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl48])). 53.56/7.28 thf(zip_derived_cl71, plain, 53.56/7.28 (![X2 : a > $o]: 53.56/7.28 ( (((((((!!) @ (^[Y0 : a]: 53.56/7.28 ((((('#sk1' @ '#sk36' @ Y0) | ('#sk2' @ '#sk36' @ 53.56/7.28 Y0))) => 53.56/7.28 (X2 @ Y0)))))) & 53.56/7.28 (((!!) @ (^[Y0 : a]: 53.56/7.28 (((!!) @ (^[Y1 : a]: 53.56/7.28 (((((X2 @ Y0) & 53.56/7.28 ((('#sk2' @ Y0 @ Y1) | ('#sk1' @ 53.56/7.28 Y0 @ Y1))))) => 53.56/7.28 (X2 @ Y1))))))))))) => 53.56/7.28 (X2 @ '#sk45'))) 53.56/7.28 | ('#form25'))), 53.56/7.28 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl56])). 53.56/7.28 thf(zip_derived_cl72, plain, 53.56/7.28 (( (((((((!!) @ (^[Y0 : a]: 53.56/7.28 ((((('#sk1' @ '#sk36' @ Y0) | ('#sk2' @ '#sk36' @ Y0))) => 53.56/7.28 ('#sk70' @ Y0)))))) & 53.56/7.28 (((!!) @ (^[Y0 : a]: 53.56/7.28 (((!!) @ (^[Y1 : a]: 53.56/7.28 ((((('#sk70' @ Y0) & 53.56/7.28 ((('#sk2' @ Y0 @ Y1) | ('#sk1' @ Y0 @ 53.56/7.28 Y1))))) => 53.56/7.28 ('#sk70' @ Y1))))))))))) => 53.56/7.28 ('#sk70' @ '#sk45'))) 53.56/7.28 | ('#form25'))), 53.56/7.28 inference('triggered_bool_instantiation', [status(thm)], 53.56/7.28 [zip_derived_cl71])). 53.56/7.28 thf(zip_derived_cl255, plain, 53.56/7.28 ((~ (((((!!) @ (^[Y0 : a]: 53.56/7.28 ((((('#sk1' @ '#sk36' @ Y0) | ('#sk2' @ '#sk36' @ Y0))) => 53.56/7.28 ('#sk70' @ Y0)))))) & 53.56/7.28 (((!!) @ (^[Y0 : a]: 53.56/7.28 (((!!) @ (^[Y1 : a]: 53.56/7.28 ((((('#sk70' @ Y0) & 53.56/7.28 ((('#sk2' @ Y0 @ Y1) | ('#sk1' @ Y0 @ 53.56/7.28 Y1))))) => 53.56/7.28 ('#sk70' @ Y1))))))))))) 53.56/7.28 | ('#sk70' @ '#sk45') 53.56/7.28 | ('#form25'))), 53.56/7.28 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl72])). 53.56/7.28 thf(zip_derived_cl49, plain, 53.56/7.28 ((~ (((!!) @ (^[Y0 : a > $o]: 53.56/7.28 (((((((!!) @ (^[Y1 : a]: 53.56/7.28 ((((('#sk2' @ '#sk26' @ Y1) | ('#sk1' @ 53.56/7.28 '#sk26' @ Y1))) => 53.56/7.28 (Y0 @ Y1)))))) & 53.56/7.28 (((!!) @ (^[Y1 : a]: 53.56/7.28 (((!!) @ (^[Y2 : a]: 53.56/7.28 (((((Y0 @ Y1) & 53.56/7.28 ((('#sk2' @ Y1 @ Y2) | 53.56/7.28 ('#sk1' @ Y1 @ Y2))))) => 53.56/7.28 (Y0 @ Y2))))))))))) => 53.56/7.28 (Y0 @ '#sk45')))))) 53.56/7.28 | ('#form25'))), 53.56/7.28 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl41])). 53.56/7.28 thf(zip_derived_cl58, plain, 53.56/7.28 ((~ (((((((!!) @ (^[Y0 : a]: 53.56/7.28 ((((('#sk2' @ '#sk26' @ Y0) | ('#sk1' @ '#sk26' @ Y0))) => 53.56/7.28 ('#sk70' @ Y0)))))) & 53.56/7.28 (((!!) @ (^[Y0 : a]: 53.56/7.28 (((!!) @ (^[Y1 : a]: 53.56/7.28 ((((('#sk70' @ Y0) & 53.56/7.28 ((('#sk2' @ Y0 @ Y1) | ('#sk1' @ 53.56/7.28 Y0 @ Y1))))) => 53.56/7.28 ('#sk70' @ Y1))))))))))) => 53.56/7.28 ('#sk70' @ '#sk45'))) 53.56/7.28 | ('#form25'))), 53.56/7.28 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl49])). 53.56/7.28 thf(zip_derived_cl76, plain, ((~ ('#sk70' @ '#sk45') | ('#form25'))), 53.56/7.28 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl58])). 53.56/7.28 thf(zip_derived_cl256, plain, 53.56/7.28 (( ('#form25') 53.56/7.28 | ~ (((((!!) @ (^[Y0 : a]: 53.56/7.28 ((((('#sk1' @ '#sk36' @ Y0) | ('#sk2' @ '#sk36' @ Y0))) => 53.56/7.28 ('#sk70' @ Y0)))))) & 53.56/7.28 (((!!) @ (^[Y0 : a]: 53.56/7.28 (((!!) @ (^[Y1 : a]: 53.56/7.28 ((((('#sk70' @ Y0) & 53.56/7.28 ((('#sk2' @ Y0 @ Y1) | ('#sk1' @ 53.56/7.28 Y0 @ Y1))))) => 53.56/7.28 ('#sk70' @ Y1))))))))))))), 53.56/7.28 inference('clc', [status(thm)], [zip_derived_cl255, zip_derived_cl76])). 53.56/7.28 thf(zip_derived_cl257, plain, 53.56/7.28 ((~ (((!!) @ (^[Y0 : a]: 53.56/7.28 ((((('#sk1' @ '#sk36' @ Y0) | ('#sk2' @ '#sk36' @ Y0))) => 53.56/7.28 ('#sk70' @ Y0)))))) 53.56/7.28 | ~ (((!!) @ (^[Y0 : a]: 53.56/7.28 (((!!) @ (^[Y1 : a]: 53.56/7.28 ((((('#sk70' @ Y0) & 53.56/7.28 ((('#sk2' @ Y0 @ Y1) | ('#sk1' @ Y0 @ 53.56/7.28 Y1))))) => 53.56/7.28 ('#sk70' @ Y1))))))))) 53.56/7.28 | ('#form25'))), 53.56/7.28 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl256])). 53.56/7.28 thf(zip_derived_cl258, plain, 53.56/7.28 ((~ ((((('#sk1' @ '#sk36' @ ('#sk132' @ '#sk70')) | ('#sk2' @ '#sk36' @ 53.56/7.28 ('#sk132' @ '#sk70')))) => 53.56/7.28 ('#sk70' @ ('#sk132' @ '#sk70')))) 53.56/7.28 | ('#form25') 53.56/7.28 | ~ (((!!) @ (^[Y0 : a]: 53.56/7.28 (((!!) @ (^[Y1 : a]: 53.56/7.28 ((((('#sk70' @ Y0) & 53.56/7.28 ((('#sk2' @ Y0 @ Y1) | ('#sk1' @ Y0 @ 53.56/7.28 Y1))))) => 53.56/7.28 ('#sk70' @ Y1))))))))))), 53.56/7.28 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl257])). 53.56/7.28 thf(zip_derived_cl260, plain, 53.56/7.28 ((~ ('#sk70' @ ('#sk132' @ '#sk70')) 53.56/7.28 | ~ (((!!) @ (^[Y0 : a]: 53.56/7.28 (((!!) @ (^[Y1 : a]: 53.56/7.28 ((((('#sk70' @ Y0) & 53.56/7.28 ((('#sk2' @ Y0 @ Y1) | ('#sk1' @ Y0 @ 53.56/7.28 Y1))))) => 53.56/7.28 ('#sk70' @ Y1))))))))) 53.56/7.28 | ('#form25'))), 53.56/7.28 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl258])). 53.56/7.28 thf(zip_derived_cl262, plain, 53.56/7.28 ((~ (((!!) @ (^[Y0 : a]: 53.56/7.28 ((((('#sk70' @ ('#sk171' @ '#sk70')) & 53.56/7.28 ((('#sk2' @ ('#sk171' @ '#sk70') @ Y0) | ('#sk1' @ 53.56/7.28 ('#sk171' @ '#sk70') @ Y0))))) => 53.56/7.28 ('#sk70' @ Y0)))))) 53.56/7.28 | ('#form25') 53.56/7.28 | ~ ('#sk70' @ ('#sk132' @ '#sk70')))), 53.56/7.28 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl260])). 53.56/7.28 thf(zip_derived_cl264, plain, 53.56/7.28 ((~ ((((('#sk70' @ ('#sk171' @ '#sk70')) & 53.56/7.28 ((('#sk2' @ ('#sk171' @ '#sk70') @ ('#sk198' @ '#sk70')) | 53.56/7.28 ('#sk1' @ ('#sk171' @ '#sk70') @ ('#sk198' @ '#sk70')))))) => 53.56/7.28 ('#sk70' @ ('#sk198' @ '#sk70')))) 53.56/7.28 | ~ ('#sk70' @ ('#sk132' @ '#sk70')) 53.56/7.28 | ('#form25'))), 53.56/7.28 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl262])). 53.56/7.28 thf(zip_derived_cl267, plain, 53.56/7.28 ((~ ('#sk70' @ ('#sk198' @ '#sk70')) 53.56/7.28 | ('#form25') 53.56/7.28 | ~ ('#sk70' @ ('#sk132' @ '#sk70')))), 53.56/7.28 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl264])). 53.56/7.28 thf(zip_derived_cl259, plain, 53.56/7.28 (( ((('#sk1' @ '#sk36' @ ('#sk132' @ '#sk70')) | ('#sk2' @ '#sk36' @ 53.56/7.28 ('#sk132' @ '#sk70')))) 53.56/7.28 | ~ (((!!) @ (^[Y0 : a]: 53.56/7.28 (((!!) @ (^[Y1 : a]: 53.56/7.28 ((((('#sk70' @ Y0) & 53.56/7.28 ((('#sk2' @ Y0 @ Y1) | ('#sk1' @ Y0 @ 53.56/7.28 Y1))))) => 53.56/7.28 ('#sk70' @ Y1))))))))) 53.56/7.28 | ('#form25'))), 53.56/7.28 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl258])). 53.56/7.28 thf(zip_derived_cl261, plain, 53.56/7.28 (( ('#sk1' @ '#sk36' @ ('#sk132' @ '#sk70')) 53.56/7.28 | ('#sk2' @ '#sk36' @ ('#sk132' @ '#sk70')) 53.56/7.28 | ('#form25') 53.56/7.28 | ~ (((!!) @ (^[Y0 : a]: 53.56/7.28 (((!!) @ (^[Y1 : a]: 53.56/7.28 ((((('#sk70' @ Y0) & 53.56/7.28 ((('#sk2' @ Y0 @ Y1) | ('#sk1' @ Y0 @ 53.56/7.28 Y1))))) => 53.56/7.28 ('#sk70' @ Y1))))))))))), 53.56/7.28 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl259])). 53.56/7.28 thf(zip_derived_cl263, plain, 53.56/7.28 ((~ (((!!) @ (^[Y0 : a]: 53.56/7.28 ((((('#sk70' @ ('#sk171' @ '#sk70')) & 53.56/7.28 ((('#sk2' @ ('#sk171' @ '#sk70') @ Y0) | ('#sk1' @ 53.56/7.28 ('#sk171' @ '#sk70') @ Y0))))) => 53.56/7.28 ('#sk70' @ Y0)))))) 53.56/7.28 | ('#form25') 53.56/7.28 | ('#sk2' @ '#sk36' @ ('#sk132' @ '#sk70')) 53.56/7.28 | ('#sk1' @ '#sk36' @ ('#sk132' @ '#sk70')))), 53.56/7.28 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl261])). 53.56/7.28 thf(zip_derived_cl265, plain, 53.56/7.28 ((~ ((((('#sk70' @ ('#sk171' @ '#sk70')) & 53.56/7.28 ((('#sk2' @ ('#sk171' @ '#sk70') @ ('#sk198' @ '#sk70')) | 53.56/7.28 ('#sk1' @ ('#sk171' @ '#sk70') @ ('#sk198' @ '#sk70')))))) => 53.56/7.28 ('#sk70' @ ('#sk198' @ '#sk70')))) 53.56/7.28 | ('#sk1' @ '#sk36' @ ('#sk132' @ '#sk70')) 53.56/7.28 | ('#sk2' @ '#sk36' @ ('#sk132' @ '#sk70')) 53.56/7.28 | ('#form25'))), 53.56/7.28 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl263])). 53.56/7.28 thf(zip_derived_cl269, plain, 53.56/7.28 ((~ ('#sk70' @ ('#sk198' @ '#sk70')) 53.56/7.28 | ('#form25') 53.56/7.28 | ('#sk2' @ '#sk36' @ ('#sk132' @ '#sk70')) 53.56/7.28 | ('#sk1' @ '#sk36' @ ('#sk132' @ '#sk70')))), 53.56/7.28 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl265])). 53.56/7.28 thf(zip_derived_cl268, plain, 53.56/7.28 (( ((('#sk70' @ ('#sk171' @ '#sk70')) & 53.56/7.28 ((('#sk2' @ ('#sk171' @ '#sk70') @ ('#sk198' @ '#sk70')) | 53.56/7.28 ('#sk1' @ ('#sk171' @ '#sk70') @ ('#sk198' @ '#sk70')))))) 53.56/7.28 | ('#form25') 53.56/7.28 | ('#sk2' @ '#sk36' @ ('#sk132' @ '#sk70')) 53.56/7.28 | ('#sk1' @ '#sk36' @ ('#sk132' @ '#sk70')))), 53.56/7.28 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl265])). 53.56/7.28 thf(zip_derived_cl273, plain, 53.56/7.28 (( ((('#sk2' @ ('#sk171' @ '#sk70') @ ('#sk198' @ '#sk70')) | ('#sk1' @ 53.56/7.28 ('#sk171' @ '#sk70') @ ('#sk198' @ '#sk70')))) 53.56/7.28 | ('#sk1' @ '#sk36' @ ('#sk132' @ '#sk70')) 53.56/7.28 | ('#sk2' @ '#sk36' @ ('#sk132' @ '#sk70')) 53.56/7.28 | ('#form25'))), 53.56/7.28 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl268])). 53.56/7.28 thf(zip_derived_cl275, plain, 53.56/7.28 (( ('#sk2' @ ('#sk171' @ '#sk70') @ ('#sk198' @ '#sk70')) 53.56/7.28 | ('#sk1' @ ('#sk171' @ '#sk70') @ ('#sk198' @ '#sk70')) 53.56/7.28 | ('#form25') 53.56/7.28 | ('#sk2' @ '#sk36' @ ('#sk132' @ '#sk70')) 53.56/7.28 | ('#sk1' @ '#sk36' @ ('#sk132' @ '#sk70')))), 53.56/7.28 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl273])). 53.56/7.28 thf(zip_derived_cl266, plain, 53.56/7.28 (( ((('#sk70' @ ('#sk171' @ '#sk70')) & 53.56/7.28 ((('#sk2' @ ('#sk171' @ '#sk70') @ ('#sk198' @ '#sk70')) | 53.56/7.28 ('#sk1' @ ('#sk171' @ '#sk70') @ ('#sk198' @ '#sk70')))))) 53.56/7.28 | ('#form25') 53.56/7.28 | ~ ('#sk70' @ ('#sk132' @ '#sk70')))), 53.56/7.28 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl264])). 53.56/7.28 thf(zip_derived_cl271, plain, 53.56/7.28 (( ((('#sk2' @ ('#sk171' @ '#sk70') @ ('#sk198' @ '#sk70')) | ('#sk1' @ 53.56/7.28 ('#sk171' @ '#sk70') @ ('#sk198' @ '#sk70')))) 53.56/7.28 | ~ ('#sk70' @ ('#sk132' @ '#sk70')) 53.56/7.28 | ('#form25'))), 53.56/7.28 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl266])). 53.56/7.28 thf(zip_derived_cl274, plain, 53.56/7.28 (( ('#sk2' @ ('#sk171' @ '#sk70') @ ('#sk198' @ '#sk70')) 53.56/7.28 | ('#sk1' @ ('#sk171' @ '#sk70') @ ('#sk198' @ '#sk70')) 53.56/7.28 | ('#form25') 53.56/7.28 | ~ ('#sk70' @ ('#sk132' @ '#sk70')))), 53.56/7.28 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl271])). 53.56/7.28 thf(zip_derived_cl272, plain, 53.56/7.28 (( ('#sk70' @ ('#sk171' @ '#sk70')) 53.56/7.28 | ('#sk1' @ '#sk36' @ ('#sk132' @ '#sk70')) 53.56/7.28 | ('#sk2' @ '#sk36' @ ('#sk132' @ '#sk70')) 53.56/7.28 | ('#form25'))), 53.56/7.28 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl268])). 53.56/7.28 thf(zip_derived_cl270, plain, 53.56/7.28 (( ('#sk70' @ ('#sk171' @ '#sk70')) 53.56/7.28 | ~ ('#sk70' @ ('#sk132' @ '#sk70')) 53.56/7.28 | ('#form25'))), 53.56/7.28 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl266])). 53.56/7.28 thf(zip_derived_cl55, plain, 53.56/7.28 (( (((!!) @ (^[Y0 : a > $o]: 53.56/7.28 (((((((!!) @ (^[Y1 : a]: 53.56/7.28 ((((('#sk1' @ '#sk26' @ Y1) | ('#sk2' @ 53.56/7.28 '#sk26' @ Y1))) => 53.56/7.28 (Y0 @ Y1)))))) & 53.56/7.28 (((!!) @ (^[Y1 : a]: 53.56/7.28 (((!!) @ (^[Y2 : a]: 53.56/7.28 ((((((('#sk1' @ Y1 @ Y2) | 53.56/7.28 ('#sk2' @ Y1 @ Y2))) & 53.56/7.28 (Y0 @ Y1))) => 53.56/7.28 (Y0 @ Y2))))))))))) => 53.56/7.28 (Y0 @ '#sk36')))))) 53.56/7.28 | ('#form25'))), 53.56/7.28 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl48])). 53.56/7.28 thf(zip_derived_cl67, plain, 53.56/7.28 (![X2 : a > $o]: 53.56/7.28 ( (((((((!!) @ (^[Y0 : a]: 53.56/7.28 ((((('#sk1' @ '#sk26' @ Y0) | ('#sk2' @ '#sk26' @ 53.56/7.28 Y0))) => 53.56/7.28 (X2 @ Y0)))))) & 53.56/7.28 (((!!) @ (^[Y0 : a]: 53.56/7.28 (((!!) @ (^[Y1 : a]: 53.56/7.28 ((((((('#sk1' @ Y0 @ Y1) | ('#sk2' @ 53.56/7.28 Y0 @ Y1))) & 53.56/7.28 (X2 @ Y0))) => 53.56/7.28 (X2 @ Y1))))))))))) => 53.56/7.28 (X2 @ '#sk36'))) 53.56/7.28 | ('#form25'))), 53.56/7.28 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl55])). 53.56/7.28 thf(zip_derived_cl87, plain, 53.56/7.28 (![X2 : a > $o]: 53.56/7.28 (~ (((((!!) @ (^[Y0 : a]: 53.56/7.28 ((((('#sk1' @ '#sk26' @ Y0) | ('#sk2' @ '#sk26' @ Y0))) => 53.56/7.28 (X2 @ Y0)))))) & 53.56/7.28 (((!!) @ (^[Y0 : a]: 53.56/7.28 (((!!) @ (^[Y1 : a]: 53.56/7.28 ((((((('#sk1' @ Y0 @ Y1) | ('#sk2' @ 53.56/7.28 Y0 @ Y1))) & 53.56/7.28 (X2 @ Y0))) => 53.56/7.28 (X2 @ Y1))))))))))) 53.56/7.28 | (X2 @ '#sk36') 53.56/7.28 | ('#form25'))), 53.56/7.28 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl67])). 53.56/7.28 thf(zip_derived_cl96, plain, 53.56/7.28 (![X2 : a > $o]: 53.56/7.28 (~ (((!!) @ (^[Y0 : a]: 53.56/7.28 ((((('#sk1' @ '#sk26' @ Y0) | ('#sk2' @ '#sk26' @ Y0))) => 53.56/7.28 (X2 @ Y0)))))) 53.56/7.28 | ~ (((!!) @ (^[Y0 : a]: 53.56/7.28 (((!!) @ (^[Y1 : a]: 53.56/7.28 ((((((('#sk1' @ Y0 @ Y1) | ('#sk2' @ 53.56/7.28 Y0 @ Y1))) & 53.56/7.28 (X2 @ Y0))) => 53.56/7.28 (X2 @ Y1))))))))) 53.56/7.28 | ('#form25') 53.56/7.28 | (X2 @ '#sk36'))), 53.56/7.28 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl87])). 53.56/7.28 thf(zip_derived_cl26, plain, 53.56/7.28 (![X2 : a > $o]: 53.56/7.28 (~ (X2 @ ('#sk15' @ X2)) 53.56/7.28 | ~ (((!!) @ (^[Y0 : a]: 53.56/7.28 (((!!) @ (^[Y1 : a]: 53.56/7.28 ((((((('#sk1' @ Y0 @ Y1) | ('#sk2' @ 53.56/7.28 Y0 @ Y1))) & 53.56/7.28 (X2 @ Y0))) => 53.56/7.28 (X2 @ Y1))))))))) 53.56/7.28 | ~ (((!!) @ (^[Y0 : a]: 53.56/7.28 (((!!) @ (^[Y1 : a]: 53.56/7.28 (((!!) @ (^[Y2 : a]: 53.56/7.28 (((((((!!) @ (^[Y3 : a > $o]: 53.56/7.28 (((((( 53.56/7.28 (!!) @ ( 53.56/7.28 ^[Y4 : a]: 53.56/7.28 (( 53.56/7.28 (( 53.56/7.28 ('#sk1' @ 53.56/7.28 Y0 @ 53.56/7.28 Y4) | 53.56/7.28 ('#sk2' @ 53.56/7.28 Y0 @ Y4))) => 53.56/7.28 (Y3 @ Y4)))))) & 53.56/7.28 (( 53.56/7.28 (!!) @ ( 53.56/7.28 ^[Y4 : a]: 53.56/7.28 (( 53.56/7.28 (!!) @ ( 53.56/7.28 ^[Y5 : a]: 53.56/7.28 (( 53.56/7.28 (( 53.56/7.28 (( 53.56/7.28 ('#sk1' @ 53.56/7.28 Y4 @ 53.56/7.28 Y5) | 53.56/7.28 ('#sk2' @ 53.56/7.28 Y4 @ Y5))) & 53.56/7.28 (Y3 @ Y4))) => 53.56/7.28 (Y3 @ Y5))))))))))) => 53.56/7.28 (Y3 @ Y1)))))) & 53.56/7.28 (((!!) @ (^[Y3 : a > $o]: 53.56/7.28 (((((( 53.56/7.28 (!!) @ ( 53.56/7.28 ^[Y4 : a]: 53.56/7.28 (( 53.56/7.28 (( 53.56/7.28 ('#sk1' @ 53.56/7.28 Y1 @ 53.56/7.28 Y4) | 53.56/7.28 ('#sk2' @ 53.56/7.28 Y1 @ Y4))) => 53.56/7.28 (Y3 @ Y4)))))) & 53.56/7.28 (( 53.56/7.28 (!!) @ ( 53.56/7.28 ^[Y4 : a]: 53.56/7.28 (( 53.56/7.28 (!!) @ ( 53.56/7.28 ^[Y5 : a]: 53.56/7.28 (( 53.56/7.28 (( 53.56/7.28 (Y3 @ 53.56/7.28 Y4) & 53.56/7.28 (( 53.56/7.28 ('#sk2' @ 53.56/7.28 Y4 @ 53.56/7.28 Y5) | 53.56/7.28 ('#sk1' @ 53.56/7.28 Y4 @ Y5))))) => 53.56/7.28 (Y3 @ Y5))))))))))) => 53.56/7.28 (Y3 @ Y2)))))))) => 53.56/7.28 (((!!) @ (^[Y3 : a > $o]: 53.56/7.28 (((((((!!) @ ( 53.56/7.28 ^[Y4 : a]: 53.56/7.28 (( 53.56/7.28 (( 53.56/7.28 ('#sk2' @ 53.56/7.28 Y0 @ 53.56/7.28 Y4) | 53.56/7.28 ('#sk1' @ 53.56/7.28 Y0 @ Y4))) => 53.56/7.28 (Y3 @ Y4)))))) & 53.56/7.28 (((!!) @ ( 53.56/7.28 ^[Y4 : a]: 53.56/7.28 (( 53.56/7.28 (!!) @ ( 53.56/7.28 ^[Y5 : a]: 53.56/7.28 (( 53.56/7.28 (( 53.56/7.28 (Y3 @ 53.56/7.28 Y4) & 53.56/7.28 (( 53.56/7.28 ('#sk2' @ 53.56/7.28 Y4 @ 53.56/7.28 Y5) | 53.56/7.28 ('#sk1' @ 53.56/7.28 Y4 @ Y5))))) => 53.56/7.28 (Y3 @ Y5))))))))))) => 53.56/7.28 (Y3 @ Y2))))))))))))))))) 53.56/7.28 | ~ (((!!) @ (^[Y0 : a]: 53.56/7.28 (((!!) @ (^[Y1 : a]: 53.56/7.28 (((((((!!) @ (^[Y2 : a > $o]: 53.56/7.28 (((((((!!) @ (^[Y3 : a]: 53.56/7.28 ( 53.56/7.28 ( 53.56/7.28 (!!) @ ( 53.56/7.28 ^[Y4 : a]: 53.56/7.28 (( 53.56/7.28 (( 53.56/7.28 (Y2 @ 53.56/7.28 Y3) & 53.56/7.28 ('#sk2' @ 53.56/7.28 Y3 @ Y4))) => 53.56/7.28 (Y2 @ Y4))))))))) & 53.56/7.28 (((!!) @ (^[Y3 : a]: 53.56/7.28 ( 53.56/7.28 ( 53.56/7.28 ('#sk2' @ 53.56/7.28 Y0 @ 53.56/7.28 Y3) => 53.56/7.28 (Y2 @ Y3)))))))) => 53.56/7.28 (Y2 @ Y1)))))) | 53.56/7.28 (((!!) @ (^[Y2 : a > $o]: 53.56/7.28 (((((((!!) @ (^[Y3 : a]: 53.56/7.28 ( 53.56/7.28 ( 53.56/7.28 ('#sk1' @ 53.56/7.28 Y0 @ 53.56/7.28 Y3) => 53.56/7.28 (Y2 @ Y3)))))) & 53.56/7.28 (((!!) @ (^[Y3 : a]: 53.56/7.28 ( 53.56/7.28 ( 53.56/7.28 (!!) @ ( 53.56/7.28 ^[Y4 : a]: 53.56/7.28 (( 53.56/7.28 (( 53.56/7.28 (Y2 @ 53.56/7.28 Y3) & 53.56/7.28 ('#sk1' @ 53.56/7.28 Y3 @ Y4))) => 53.56/7.28 (Y2 @ Y4))))))))))) => 53.56/7.28 (Y2 @ Y1)))))))) => 53.56/7.28 (((!!) @ (^[Y2 : a > $o]: 53.56/7.28 (((((((!!) @ (^[Y3 : a]: 53.56/7.28 (((( 53.56/7.28 ('#sk1' @ 53.56/7.28 Y0 @ 53.56/7.28 Y3) | 53.56/7.28 ('#sk2' @ 53.56/7.28 Y0 @ Y3))) => 53.56/7.28 (Y2 @ Y3)))))) & 53.56/7.28 (((!!) @ (^[Y3 : a]: 53.56/7.28 (((!!) @ ( 53.56/7.28 ^[Y4 : a]: 53.56/7.28 (( 53.56/7.28 (( 53.56/7.28 (Y2 @ 53.56/7.28 Y3) & 53.56/7.28 (( 53.56/7.28 ('#sk2' @ 53.56/7.28 Y3 @ 53.56/7.28 Y4) | 53.56/7.28 ('#sk1' @ 53.56/7.28 Y3 @ Y4))))) => 53.56/7.28 (Y2 @ Y4))))))))))) => 53.56/7.28 (Y2 @ Y1)))))))))))))) 53.56/7.28 | (X2 @ '#sk4'))), 53.56/7.28 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl21])). 53.56/7.28 thf(zip_derived_cl28, plain, 53.56/7.28 (( ('#form25') 53.56/7.28 | ~ (((!!) @ (^[Y0 : a]: 53.56/7.28 (((!!) @ (^[Y1 : a]: 53.56/7.28 (((!!) @ (^[Y2 : a]: 53.56/7.28 (((((((!!) @ (^[Y3 : a > $o]: 53.56/7.28 (((((((!!) @ ( 53.56/7.28 ^[Y4 : a]: 53.56/7.28 (( 53.56/7.28 (( 53.56/7.28 ('#sk1' @ 53.56/7.28 Y0 @ 53.56/7.28 Y4) | 53.56/7.28 ('#sk2' @ 53.56/7.28 Y0 @ Y4))) => 53.56/7.28 (Y3 @ Y4)))))) & 53.56/7.28 (((!!) @ ( 53.56/7.28 ^[Y4 : a]: 53.56/7.28 (( 53.56/7.28 (!!) @ ( 53.56/7.28 ^[Y5 : a]: 53.56/7.28 (( 53.56/7.28 (( 53.56/7.28 (( 53.56/7.28 ('#sk1' @ 53.56/7.28 Y4 @ 53.56/7.28 Y5) | 53.56/7.28 ('#sk2' @ 53.56/7.28 Y4 @ Y5))) & 53.56/7.28 (Y3 @ Y4))) => 53.56/7.28 (Y3 @ Y5))))))))))) => 53.56/7.28 (Y3 @ Y1)))))) & 53.56/7.28 (((!!) @ (^[Y3 : a > $o]: 53.56/7.28 (((((((!!) @ ( 53.56/7.28 ^[Y4 : a]: 53.56/7.28 (( 53.56/7.28 (( 53.56/7.28 ('#sk1' @ 53.56/7.28 Y1 @ 53.56/7.28 Y4) | 53.56/7.28 ('#sk2' @ 53.56/7.28 Y1 @ Y4))) => 53.56/7.28 (Y3 @ Y4)))))) & 53.56/7.28 (((!!) @ ( 53.56/7.28 ^[Y4 : a]: 53.56/7.28 (( 53.56/7.28 (!!) @ ( 53.56/7.28 ^[Y5 : a]: 53.56/7.28 (( 53.56/7.28 (( 53.56/7.28 (Y3 @ 53.56/7.28 Y4) & 53.56/7.28 (( 53.56/7.28 ('#sk2' @ 53.56/7.28 Y4 @ 53.56/7.28 Y5) | 53.56/7.28 ('#sk1' @ 53.56/7.28 Y4 @ Y5))))) => 53.56/7.28 (Y3 @ Y5))))))))))) => 53.56/7.28 (Y3 @ Y2)))))))) => 53.56/7.28 (((!!) @ (^[Y3 : a > $o]: 53.56/7.28 (((((((!!) @ ( 53.56/7.28 ^[Y4 : a]: 53.56/7.28 ( 53.56/7.28 ( 53.56/7.28 (( 53.56/7.28 ('#sk2' @ 53.56/7.28 Y0 @ 53.56/7.28 Y4) | 53.56/7.28 ('#sk1' @ 53.56/7.28 Y0 @ Y4))) => 53.56/7.28 (Y3 @ Y4)))))) & 53.56/7.28 (((!!) @ ( 53.56/7.28 ^[Y4 : a]: 53.56/7.28 ( 53.56/7.28 ( 53.56/7.28 (!!) @ ( 53.56/7.28 ^[Y5 : a]: 53.56/7.28 (( 53.56/7.28 (( 53.56/7.28 (Y3 @ 53.56/7.28 Y4) & 53.56/7.28 (( 53.56/7.28 ('#sk2' @ 53.56/7.28 Y4 @ 53.56/7.28 Y5) | 53.56/7.28 ('#sk1' @ 53.56/7.28 Y4 @ Y5))))) => 53.56/7.28 (Y3 @ Y5))))))))))) => 53.56/7.28 (Y3 @ Y2))))))))))))))))))), 53.56/7.28 define([status(thm)])). 53.56/7.28 thf(zip_derived_cl31, plain, 53.56/7.28 (![X2 : a > $o]: 53.56/7.28 (~ ('#form25') 53.56/7.28 | (X2 @ '#sk4') 53.56/7.28 | ~ (((!!) @ (^[Y0 : a]: 53.56/7.28 (((!!) @ (^[Y1 : a]: 53.56/7.28 (((((((!!) @ (^[Y2 : a > $o]: 53.56/7.28 (((((((!!) @ (^[Y3 : a]: 53.56/7.28 ( 53.56/7.28 ( 53.56/7.28 (!!) @ ( 53.56/7.28 ^[Y4 : a]: 53.56/7.28 (( 53.56/7.28 (( 53.56/7.28 (Y2 @ 53.56/7.28 Y3) & 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53.56/7.28 (Y2 @ Y1)))))) | 53.56/7.28 (((!!) @ (^[Y2 : a > $o]: 53.56/7.28 (((((((!!) @ (^[Y3 : a]: 53.56/7.28 ((('#sk1' @ 53.56/7.28 Y0 @ 53.56/7.28 Y3) => 53.56/7.28 (Y2 @ Y3)))))) & 53.56/7.28 (((!!) @ (^[Y3 : a]: 53.56/7.28 (((!!) @ ( 53.56/7.28 ^[Y4 : a]: 53.56/7.28 (( 53.56/7.28 (( 53.56/7.28 (Y2 @ 53.56/7.28 Y3) & 53.56/7.28 ('#sk1' @ 53.56/7.28 Y3 @ Y4))) => 53.56/7.28 (Y2 @ Y4))))))))))) => 53.56/7.28 (Y2 @ Y1)))))))) => 53.56/7.28 (((!!) @ (^[Y2 : a > $o]: 53.56/7.28 (((((((!!) @ (^[Y3 : a]: 53.56/7.28 ((((('#sk1' @ 53.56/7.28 Y0 @ 53.56/7.28 Y3) | 53.56/7.28 ('#sk2' @ 53.56/7.28 Y0 @ Y3))) => 53.56/7.28 (Y2 @ Y3)))))) & 53.56/7.28 (((!!) @ (^[Y3 : a]: 53.56/7.28 (((!!) @ ( 53.56/7.28 ^[Y4 : a]: 53.56/7.28 ( 53.56/7.28 ( 53.56/7.28 (( 53.56/7.28 (Y2 @ 53.56/7.28 Y3) & 53.56/7.28 (( 53.56/7.28 ('#sk2' @ 53.56/7.28 Y3 @ 53.56/7.28 Y4) | 53.56/7.28 ('#sk1' @ 53.56/7.28 Y3 @ Y4))))) => 53.56/7.28 (Y2 @ Y4))))))))))) => 53.56/7.28 (Y2 @ Y1)))))))))))))))), 53.56/7.28 define([status(thm)])). 53.56/7.28 thf(zip_derived_cl38, plain, 53.56/7.28 (![X2 : a > $o]: 53.56/7.28 (~ ('#form34') 53.56/7.28 | ~ (X2 @ ('#sk15' @ X2)) 53.56/7.28 | ~ (((!!) @ (^[Y0 : a]: 53.56/7.28 (((!!) @ (^[Y1 : a]: 53.56/7.28 ((((((('#sk1' @ Y0 @ Y1) | ('#sk2' @ 53.56/7.28 Y0 @ Y1))) & 53.56/7.28 (X2 @ Y0))) => 53.56/7.28 (X2 @ Y1))))))))) 53.56/7.28 | (X2 @ '#sk4') 53.56/7.28 | ~ ('#form25'))), 53.56/7.28 inference('renaming', [status(thm)], [zip_derived_cl31, zip_derived_cl34])). 53.56/7.28 thf(zip_derived_cl42, plain, 53.56/7.28 (![X2 : a > $o]: 53.56/7.28 ( ('#form49' @ X2) 53.56/7.28 | ~ (((!!) @ (^[Y0 : a]: 53.56/7.28 (((!!) @ (^[Y1 : a]: 53.56/7.28 ((((((('#sk1' @ Y0 @ Y1) | ('#sk2' @ 53.56/7.28 Y0 @ Y1))) & 53.56/7.28 (X2 @ Y0))) => 53.56/7.28 (X2 @ Y1))))))))))), 53.56/7.28 define([status(thm)])). 53.56/7.28 thf(zip_derived_cl104, plain, 53.56/7.28 (![X2 : a > $o]: 53.56/7.28 (~ ('#form49' @ (^[Y0 : a]: (X2 @ Y0))) 53.56/7.28 | (X2 @ '#sk36') 53.56/7.28 | ('#form25') 53.56/7.28 | ~ (((!!) @ (^[Y0 : a]: 53.56/7.28 ((((('#sk1' @ '#sk26' @ Y0) | ('#sk2' @ '#sk26' @ Y0))) => 53.56/7.28 (X2 @ Y0)))))))), 53.56/7.28 inference('renaming', [status(thm)], [zip_derived_cl96, zip_derived_cl42])). 53.56/7.28 thf(zip_derived_cl113, plain, 53.56/7.28 (![X2 : a > $o]: 53.56/7.28 (~ ('#form49' @ X2) 53.56/7.28 | (X2 @ '#sk36') 53.56/7.28 | ('#form25') 53.56/7.28 | ~ (((!!) @ (^[Y0 : a]: 53.56/7.28 ((((('#sk1' @ '#sk26' @ Y0) | ('#sk2' @ '#sk26' @ Y0))) => 53.56/7.28 (X2 @ Y0)))))))), 53.56/7.28 inference('ho_norm', [status(thm)], [zip_derived_cl104])). 53.56/7.28 thf(zip_derived_cl114, plain, 53.56/7.28 (![X2 : a > $o]: 53.56/7.28 (~ ((((('#sk1' @ '#sk26' @ ('#sk145' @ X2)) | ('#sk2' @ '#sk26' @ 53.56/7.28 ('#sk145' @ X2)))) => 53.56/7.28 (X2 @ ('#sk145' @ X2)))) 53.56/7.28 | ('#form25') 53.56/7.28 | (X2 @ '#sk36') 53.56/7.28 | ~ ('#form49' @ X2))), 53.56/7.28 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl113])). 53.56/7.28 thf(zip_derived_cl125, plain, 53.56/7.28 (![X2 : a > $o]: 53.56/7.28 (~ (X2 @ ('#sk145' @ X2)) 53.56/7.28 | ~ ('#form49' @ X2) 53.56/7.28 | (X2 @ '#sk36') 53.56/7.28 | ('#form25'))), 53.56/7.28 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl114])). 53.56/7.28 thf(zip_derived_cl75, plain, 53.56/7.28 (( (((((!!) @ (^[Y0 : a]: 53.56/7.28 ((((('#sk2' @ '#sk26' @ Y0) | ('#sk1' @ '#sk26' @ Y0))) => 53.56/7.28 ('#sk70' @ Y0)))))) & 53.56/7.28 (((!!) @ (^[Y0 : a]: 53.56/7.28 (((!!) @ (^[Y1 : a]: 53.56/7.28 ((((('#sk70' @ Y0) & 53.56/7.28 ((('#sk2' @ Y0 @ Y1) | ('#sk1' @ Y0 @ 53.56/7.28 Y1))))) => 53.56/7.28 ('#sk70' @ Y1))))))))))) 53.56/7.28 | ('#form25'))), 53.56/7.28 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl58])). 53.56/7.28 thf(zip_derived_cl90, plain, 53.56/7.28 (( (((!!) @ (^[Y0 : a]: 53.56/7.28 (((!!) @ (^[Y1 : a]: 53.56/7.28 ((((('#sk70' @ Y0) & 53.56/7.28 ((('#sk2' @ Y0 @ Y1) | ('#sk1' @ Y0 @ Y1))))) => 53.56/7.28 ('#sk70' @ Y1))))))))) 53.56/7.28 | ('#form25'))), 53.56/7.28 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl75])). 53.56/7.28 thf(zip_derived_cl99, plain, 53.56/7.28 (![X2 : a]: 53.56/7.28 ( (((!!) @ (^[Y0 : a]: 53.56/7.28 ((((('#sk70' @ X2) & 53.56/7.28 ((('#sk2' @ X2 @ Y0) | ('#sk1' @ X2 @ Y0))))) => 53.56/7.28 ('#sk70' @ Y0)))))) 53.56/7.28 | ('#form25'))), 53.56/7.28 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl90])). 53.56/7.28 thf(zip_derived_cl107, plain, 53.56/7.28 (![X2 : a, X4 : a]: 53.56/7.28 ( ((((('#sk70' @ X2) & ((('#sk2' @ X2 @ X4) | ('#sk1' @ X2 @ X4))))) => 53.56/7.28 ('#sk70' @ X4))) 53.56/7.28 | ('#form25'))), 53.56/7.28 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl99])). 53.56/7.28 thf(zip_derived_cl119, plain, 53.56/7.28 (![X2 : a, X4 : a]: 53.56/7.28 (~ ((('#sk70' @ X2) & ((('#sk2' @ X2 @ X4) | ('#sk1' @ X2 @ X4))))) 53.56/7.28 | ('#sk70' @ X4) 53.56/7.28 | ('#form25'))), 53.56/7.28 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl107])). 53.56/7.28 thf(zip_derived_cl128, plain, 53.56/7.28 (![X2 : a, X4 : a]: 53.56/7.28 (~ ('#sk70' @ X2) 53.56/7.28 | ~ ((('#sk2' @ X2 @ X4) | ('#sk1' @ X2 @ X4))) 53.56/7.28 | ('#form25') 53.56/7.28 | ('#sk70' @ X4))), 53.56/7.28 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl119])). 53.56/7.28 thf(zip_derived_cl139, plain, 53.56/7.28 (![X2 : a, X4 : a]: 53.56/7.28 (~ ('#sk1' @ X2 @ X4) 53.56/7.28 | ('#sk70' @ X4) 53.56/7.28 | ('#form25') 53.56/7.28 | ~ ('#sk70' @ X2))), 53.56/7.28 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl128])). 53.56/7.28 thf(zip_derived_cl89, plain, 53.56/7.28 (( (((!!) @ (^[Y0 : a]: 53.56/7.28 ((((('#sk2' @ '#sk26' @ Y0) | ('#sk1' @ '#sk26' @ Y0))) => 53.56/7.28 ('#sk70' @ Y0)))))) 53.56/7.28 | ('#form25'))), 53.56/7.28 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl75])). 53.56/7.28 thf(zip_derived_cl98, plain, 53.56/7.28 (![X2 : a]: 53.56/7.28 ( ((((('#sk2' @ '#sk26' @ X2) | ('#sk1' @ '#sk26' @ X2))) => 53.56/7.28 ('#sk70' @ X2))) 53.56/7.28 | ('#form25'))), 53.56/7.28 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl89])). 53.56/7.28 thf(zip_derived_cl106, plain, 53.56/7.28 (![X2 : a]: 53.56/7.28 (~ ((('#sk2' @ '#sk26' @ X2) | ('#sk1' @ '#sk26' @ X2))) 53.56/7.28 | ('#sk70' @ X2) 53.56/7.28 | ('#form25'))), 53.56/7.28 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl98])). 53.56/7.28 thf(zip_derived_cl118, plain, 53.56/7.28 (![X2 : a]: (~ ('#sk1' @ '#sk26' @ X2) | ('#form25') | ('#sk70' @ X2))), 53.56/7.28 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl106])). 53.56/7.28 thf(zip_derived_cl124, plain, 53.56/7.28 (![X2 : a > $o]: 53.56/7.28 ( ((('#sk1' @ '#sk26' @ ('#sk145' @ X2)) | ('#sk2' @ '#sk26' @ 53.56/7.28 ('#sk145' @ X2)))) 53.56/7.28 | ~ ('#form49' @ X2) 53.56/7.28 | (X2 @ '#sk36') 53.56/7.28 | ('#form25'))), 53.56/7.28 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl114])). 53.56/7.28 thf(zip_derived_cl135, plain, 53.56/7.28 (![X2 : a > $o]: 53.56/7.28 ( ('#sk1' @ '#sk26' @ ('#sk145' @ X2)) 53.56/7.28 | ('#sk2' @ '#sk26' @ ('#sk145' @ X2)) 53.56/7.28 | ('#form25') 53.56/7.28 | (X2 @ '#sk36') 53.56/7.28 | ~ ('#form49' @ X2))), 53.56/7.28 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl124])). 53.56/7.28 thf(zip_derived_cl117, plain, 53.56/7.28 (![X2 : a]: (~ ('#sk2' @ '#sk26' @ X2) | ('#form25') | ('#sk70' @ X2))), 53.56/7.28 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl106])). 53.56/7.28 thf(zip_derived_cl138, plain, 53.56/7.28 (![X2 : a, X4 : a]: 53.56/7.28 (~ ('#sk2' @ X2 @ X4) 53.56/7.28 | ('#sk70' @ X4) 53.56/7.28 | ('#form25') 53.56/7.28 | ~ ('#sk70' @ X2))), 53.56/7.28 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl128])). 53.56/7.28 thf(zip_derived_cl42, plain, 53.56/7.28 (![X2 : a > $o]: 53.56/7.28 ( ('#form49' @ X2) 53.56/7.28 | ~ (((!!) @ (^[Y0 : a]: 53.56/7.28 (((!!) @ (^[Y1 : a]: 53.56/7.28 ((((((('#sk1' @ Y0 @ Y1) | ('#sk2' @ 53.56/7.28 Y0 @ Y1))) & 53.56/7.28 (X2 @ Y0))) => 53.56/7.28 (X2 @ Y1))))))))))), 53.56/7.28 define([status(thm)])). 53.56/7.28 thf(zip_derived_cl43, plain, 53.56/7.28 (![X2 : a > $o]: 53.56/7.28 (~ (((!!) @ (^[Y0 : a]: 53.56/7.28 ((((((('#sk1' @ ('#sk50' @ X2) @ Y0) | ('#sk2' @ 53.56/7.28 ('#sk50' @ X2) @ Y0))) & 53.56/7.28 (X2 @ ('#sk50' @ X2)))) => 53.56/7.28 (X2 @ Y0)))))) 53.56/7.28 | ('#form49' @ X2))), 53.56/7.28 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl42])). 53.56/7.28 thf(zip_derived_cl50, plain, 53.56/7.28 (![X2 : a > $o]: 53.56/7.28 (~ ((((((('#sk1' @ ('#sk50' @ X2) @ ('#sk62' @ X2)) | ('#sk2' @ 53.56/7.28 ('#sk50' @ X2) @ ('#sk62' @ X2)))) & 53.56/7.28 (X2 @ ('#sk50' @ X2)))) => 53.56/7.28 (X2 @ ('#sk62' @ X2)))) 53.56/7.28 | ('#form49' @ X2))), 53.56/7.28 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl43])). 53.56/7.28 thf(zip_derived_cl59, plain, 53.56/7.28 (![X2 : a > $o]: 53.56/7.28 ( ((((('#sk1' @ ('#sk50' @ X2) @ ('#sk62' @ X2)) | ('#sk2' @ 53.56/7.28 ('#sk50' @ X2) @ ('#sk62' @ X2)))) & 53.56/7.28 (X2 @ ('#sk50' @ X2)))) 53.56/7.28 | ('#form49' @ X2))), 53.56/7.28 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl50])). 53.56/7.28 thf(zip_derived_cl78, plain, 53.56/7.28 (![X2 : a > $o]: ( (X2 @ ('#sk50' @ X2)) | ('#form49' @ X2))), 53.56/7.28 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl59])). 53.56/7.28 thf(zip_derived_cl11, plain, 53.56/7.28 (![X2 : a > $o]: 53.56/7.28 ( (((((((!!) @ (^[Y0 : a]: 53.56/7.28 ((((('#sk1' @ '#sk3' @ Y0) | ('#sk2' @ '#sk3' @ Y0))) => 53.56/7.28 (X2 @ Y0)))))) & 53.56/7.28 (((!!) @ (^[Y0 : a]: 53.56/7.28 (((!!) @ (^[Y1 : a]: 53.56/7.28 ((((((('#sk1' @ Y0 @ Y1) | ('#sk2' @ 53.56/7.28 Y0 @ Y1))) & 53.56/7.28 (X2 @ Y0))) => 53.56/7.28 (X2 @ Y1))))))))))) => 53.56/7.28 (X2 @ '#sk4'))) 53.56/7.28 | ~ (((!!) @ (^[Y0 : a]: 53.56/7.28 (((!!) @ (^[Y1 : a]: 53.56/7.28 (((!!) @ (^[Y2 : a]: 53.56/7.28 (((((((!!) @ (^[Y3 : a > $o]: 53.56/7.28 (((((( 53.56/7.28 (!!) @ ( 53.56/7.28 ^[Y4 : a]: 53.56/7.28 (( 53.56/7.28 (( 53.56/7.28 ('#sk1' @ 53.56/7.28 Y0 @ 53.56/7.28 Y4) | 53.56/7.28 ('#sk2' @ 53.56/7.28 Y0 @ Y4))) => 53.56/7.28 (Y3 @ Y4)))))) & 53.56/7.28 (( 53.56/7.28 (!!) @ ( 53.56/7.28 ^[Y4 : a]: 53.56/7.28 (( 53.56/7.28 (!!) @ ( 53.56/7.28 ^[Y5 : a]: 53.56/7.28 (( 53.56/7.28 (( 53.56/7.28 (( 53.56/7.28 ('#sk1' @ 53.56/7.28 Y4 @ 53.56/7.28 Y5) | 53.56/7.28 ('#sk2' @ 53.56/7.28 Y4 @ Y5))) & 53.56/7.28 (Y3 @ Y4))) => 53.56/7.28 (Y3 @ Y5))))))))))) => 53.56/7.28 (Y3 @ Y1)))))) & 53.56/7.28 (((!!) @ (^[Y3 : a > $o]: 53.56/7.28 (((((( 53.56/7.28 (!!) @ ( 53.56/7.28 ^[Y4 : a]: 53.56/7.28 (( 53.56/7.28 (( 53.56/7.28 ('#sk1' @ 53.56/7.28 Y1 @ 53.56/7.28 Y4) | 53.56/7.28 ('#sk2' @ 53.56/7.28 Y1 @ Y4))) => 53.56/7.28 (Y3 @ Y4)))))) & 53.56/7.28 (( 53.56/7.28 (!!) @ ( 53.56/7.28 ^[Y4 : a]: 53.56/7.28 (( 53.56/7.28 (!!) @ ( 53.56/7.28 ^[Y5 : a]: 53.56/7.28 (( 53.56/7.28 (( 53.56/7.28 (Y3 @ 53.56/7.28 Y4) & 53.56/7.28 (( 53.56/7.28 ('#sk2' @ 53.56/7.28 Y4 @ 53.56/7.28 Y5) | 53.56/7.28 ('#sk1' @ 53.56/7.28 Y4 @ Y5))))) => 53.56/7.28 (Y3 @ Y5))))))))))) => 53.56/7.28 (Y3 @ Y2)))))))) => 53.56/7.28 (((!!) @ (^[Y3 : a > $o]: 53.56/7.28 (((((((!!) @ ( 53.56/7.28 ^[Y4 : a]: 53.56/7.28 (( 53.56/7.28 (( 53.56/7.28 ('#sk2' @ 53.56/7.28 Y0 @ 53.56/7.28 Y4) | 53.56/7.28 ('#sk1' @ 53.56/7.28 Y0 @ Y4))) => 53.56/7.28 (Y3 @ Y4)))))) & 53.56/7.28 (((!!) @ ( 53.56/7.28 ^[Y4 : a]: 53.56/7.28 (( 53.56/7.28 (!!) @ ( 53.56/7.28 ^[Y5 : a]: 53.56/7.28 (( 53.56/7.28 (( 53.56/7.28 (Y3 @ 53.56/7.28 Y4) & 53.56/7.28 (( 53.56/7.28 ('#sk2' @ 53.56/7.28 Y4 @ 53.56/7.28 Y5) | 53.56/7.28 ('#sk1' @ 53.56/7.28 Y4 @ Y5))))) => 53.56/7.28 (Y3 @ Y5))))))))))) => 53.56/7.28 (Y3 @ Y2))))))))))))))))) 53.56/7.28 | ~ (((!!) @ (^[Y0 : a]: 53.56/7.28 (((!!) @ (^[Y1 : a]: 53.56/7.28 (((((((!!) @ (^[Y2 : a > $o]: 53.56/7.28 (((((((!!) @ (^[Y3 : a]: 53.56/7.28 ( 53.56/7.28 ( 53.56/7.28 (!!) @ ( 53.56/7.28 ^[Y4 : a]: 53.56/7.28 (( 53.56/7.28 (( 53.56/7.28 (Y2 @ 53.56/7.28 Y3) & 53.56/7.28 ('#sk2' @ 53.56/7.28 Y3 @ Y4))) => 53.56/7.28 (Y2 @ Y4))))))))) & 53.56/7.28 (((!!) @ (^[Y3 : a]: 53.56/7.28 ( 53.56/7.28 ( 53.56/7.28 ('#sk2' @ 53.56/7.28 Y0 @ 53.56/7.28 Y3) => 53.56/7.28 (Y2 @ Y3)))))))) => 53.56/7.28 (Y2 @ Y1)))))) | 53.56/7.28 (((!!) @ (^[Y2 : a > $o]: 53.56/7.29 (((((((!!) @ (^[Y3 : a]: 53.56/7.29 ( 53.56/7.29 ( 53.56/7.29 ('#sk1' @ 53.56/7.29 Y0 @ 53.56/7.29 Y3) => 53.56/7.29 (Y2 @ Y3)))))) & 53.56/7.29 (((!!) @ (^[Y3 : a]: 53.56/7.29 ( 53.56/7.29 ( 53.56/7.29 (!!) @ ( 53.56/7.29 ^[Y4 : a]: 53.56/7.29 (( 53.56/7.29 (( 53.56/7.29 (Y2 @ 53.56/7.29 Y3) & 53.56/7.29 ('#sk1' @ 53.56/7.29 Y3 @ Y4))) => 53.56/7.29 (Y2 @ Y4))))))))))) => 53.56/7.29 (Y2 @ Y1)))))))) => 53.56/7.29 (((!!) @ (^[Y2 : a > $o]: 53.56/7.29 (((((((!!) @ (^[Y3 : a]: 53.56/7.29 (((( 53.56/7.29 ('#sk1' @ 53.56/7.29 Y0 @ 53.56/7.29 Y3) | 53.56/7.29 ('#sk2' @ 53.56/7.29 Y0 @ Y3))) => 53.56/7.29 (Y2 @ Y3)))))) & 53.56/7.29 (((!!) @ (^[Y3 : a]: 53.56/7.29 (((!!) @ ( 53.56/7.29 ^[Y4 : a]: 53.56/7.29 (( 53.56/7.29 (( 53.56/7.29 (Y2 @ 53.56/7.29 Y3) & 53.56/7.29 (( 53.56/7.29 ('#sk2' @ 53.56/7.29 Y3 @ 53.56/7.29 Y4) | 53.56/7.29 ('#sk1' @ 53.56/7.29 Y3 @ Y4))))) => 53.56/7.29 (Y2 @ Y4))))))))))) => 53.56/7.29 (Y2 @ Y1)))))))))))))))), 53.56/7.29 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl8])). 53.56/7.29 thf(zip_derived_cl12, plain, 53.56/7.29 (( (((((((!!) @ (^[Y0 : a]: 53.56/7.29 ((((('#sk1' @ '#sk3' @ Y0) | ('#sk2' @ '#sk3' @ Y0))) => 53.56/7.29 ('#sk5' @ Y0)))))) & 53.56/7.29 (((!!) @ (^[Y0 : a]: 53.56/7.29 (((!!) @ (^[Y1 : a]: 53.56/7.29 ((((((('#sk1' @ Y0 @ Y1) | ('#sk2' @ Y0 @ 53.56/7.29 Y1))) & 53.56/7.29 ('#sk5' @ Y0))) => 53.56/7.29 ('#sk5' @ Y1))))))))))) => 53.56/7.29 ('#sk5' @ '#sk4'))) 53.56/7.29 | ~ (((!!) @ (^[Y0 : a]: 53.56/7.29 (((!!) @ (^[Y1 : a]: 53.56/7.29 (((!!) @ (^[Y2 : a]: 53.56/7.29 (((((((!!) @ (^[Y3 : a > $o]: 53.56/7.29 (((((((!!) @ ( 53.56/7.29 ^[Y4 : a]: 53.56/7.29 (( 53.56/7.29 (( 53.56/7.29 ('#sk1' @ 53.56/7.29 Y0 @ 53.56/7.29 Y4) | 53.56/7.29 ('#sk2' @ 53.56/7.29 Y0 @ Y4))) => 53.56/7.29 (Y3 @ Y4)))))) & 53.56/7.29 (((!!) @ ( 53.56/7.29 ^[Y4 : a]: 53.56/7.29 (( 53.56/7.29 (!!) @ ( 53.56/7.29 ^[Y5 : a]: 53.56/7.29 (( 53.56/7.29 (( 53.56/7.29 (( 53.56/7.29 ('#sk1' @ 53.56/7.29 Y4 @ 53.56/7.29 Y5) | 53.56/7.29 ('#sk2' @ 53.56/7.29 Y4 @ Y5))) & 53.56/7.29 (Y3 @ Y4))) => 53.56/7.29 (Y3 @ Y5))))))))))) => 53.56/7.29 (Y3 @ Y1)))))) & 53.56/7.29 (((!!) @ (^[Y3 : a > $o]: 53.56/7.29 (((((((!!) @ ( 53.56/7.29 ^[Y4 : a]: 53.56/7.29 (( 53.56/7.29 (( 53.56/7.29 ('#sk1' @ 53.56/7.29 Y1 @ 53.56/7.29 Y4) | 53.56/7.29 ('#sk2' @ 53.56/7.29 Y1 @ Y4))) => 53.56/7.29 (Y3 @ Y4)))))) & 53.56/7.29 (((!!) @ ( 53.56/7.29 ^[Y4 : a]: 53.56/7.29 (( 53.56/7.29 (!!) @ ( 53.56/7.29 ^[Y5 : a]: 53.56/7.29 (( 53.56/7.29 (( 53.56/7.29 (Y3 @ 53.56/7.29 Y4) & 53.56/7.29 (( 53.56/7.29 ('#sk2' @ 53.56/7.29 Y4 @ 53.56/7.29 Y5) | 53.56/7.29 ('#sk1' @ 53.56/7.29 Y4 @ Y5))))) => 53.56/7.29 (Y3 @ Y5))))))))))) => 53.56/7.29 (Y3 @ Y2)))))))) => 53.56/7.29 (((!!) @ (^[Y3 : a > $o]: 53.56/7.29 (((((((!!) @ ( 53.56/7.29 ^[Y4 : a]: 53.56/7.29 ( 53.56/7.29 ( 53.56/7.29 (( 53.56/7.29 ('#sk2' @ 53.56/7.29 Y0 @ 53.56/7.29 Y4) | 53.56/7.29 ('#sk1' @ 53.56/7.29 Y0 @ Y4))) => 53.56/7.29 (Y3 @ Y4)))))) & 53.56/7.29 (((!!) @ ( 53.56/7.29 ^[Y4 : a]: 53.56/7.29 ( 53.56/7.29 ( 53.56/7.29 (!!) @ ( 53.56/7.29 ^[Y5 : a]: 53.56/7.29 (( 53.56/7.29 (( 53.56/7.29 (Y3 @ 53.56/7.29 Y4) & 53.56/7.29 (( 53.56/7.29 ('#sk2' @ 53.56/7.29 Y4 @ 53.56/7.29 Y5) | 53.56/7.29 ('#sk1' @ 53.56/7.29 Y4 @ Y5))))) => 53.56/7.29 (Y3 @ Y5))))))))))) => 53.56/7.29 (Y3 @ Y2))))))))))))))))) 53.56/7.29 | ~ (((!!) @ (^[Y0 : a]: 53.56/7.29 (((!!) @ (^[Y1 : a]: 53.56/7.29 (((((((!!) @ (^[Y2 : a > $o]: 53.56/7.29 (((((((!!) @ (^[Y3 : a]: 53.56/7.29 (((!!) @ ( 53.56/7.29 ^[Y4 : a]: 53.56/7.29 (( 53.56/7.29 (( 53.56/7.29 (Y2 @ 53.56/7.29 Y3) & 53.56/7.29 ('#sk2' @ 53.56/7.29 Y3 @ Y4))) => 53.56/7.29 (Y2 @ Y4))))))))) & 53.56/7.29 (((!!) @ (^[Y3 : a]: 53.56/7.29 ((('#sk2' @ 53.56/7.29 Y0 @ 53.56/7.29 Y3) => 53.56/7.29 (Y2 @ Y3)))))))) => 53.56/7.29 (Y2 @ Y1)))))) | 53.56/7.29 (((!!) @ (^[Y2 : a > $o]: 53.56/7.29 (((((((!!) @ (^[Y3 : a]: 53.56/7.29 ((('#sk1' @ 53.56/7.29 Y0 @ 53.56/7.29 Y3) => 53.56/7.29 (Y2 @ Y3)))))) & 53.56/7.29 (((!!) @ (^[Y3 : a]: 53.56/7.29 (((!!) @ ( 53.56/7.29 ^[Y4 : a]: 53.56/7.29 (( 53.56/7.29 (( 53.56/7.29 (Y2 @ 53.56/7.29 Y3) & 53.56/7.29 ('#sk1' @ 53.56/7.29 Y3 @ Y4))) => 53.56/7.29 (Y2 @ Y4))))))))))) => 53.56/7.29 (Y2 @ Y1)))))))) => 53.56/7.29 (((!!) @ (^[Y2 : a > $o]: 53.56/7.29 (((((((!!) @ (^[Y3 : a]: 53.56/7.29 ((((('#sk1' @ 53.56/7.29 Y0 @ 53.56/7.29 Y3) | 53.56/7.29 ('#sk2' @ 53.56/7.29 Y0 @ Y3))) => 53.56/7.29 (Y2 @ Y3)))))) & 53.56/7.29 (((!!) @ (^[Y3 : a]: 53.56/7.29 (((!!) @ ( 53.56/7.29 ^[Y4 : a]: 53.56/7.29 ( 53.56/7.29 ( 53.56/7.29 (( 53.56/7.29 (Y2 @ 53.56/7.29 Y3) & 53.56/7.29 (( 53.56/7.29 ('#sk2' @ 53.56/7.29 Y3 @ 53.56/7.29 Y4) | 53.56/7.29 ('#sk1' @ 53.56/7.29 Y3 @ Y4))))) => 53.56/7.29 (Y2 @ Y4))))))))))) => 53.56/7.29 (Y2 @ Y1)))))))))))))))), 53.56/7.29 inference('triggered_bool_instantiation', [status(thm)], 53.56/7.29 [zip_derived_cl11])). 53.56/7.29 thf(zip_derived_cl5, plain, 53.56/7.29 (~ (((!!) @ (^[Y0 : a > $o]: 53.56/7.29 (((((((!!) @ (^[Y1 : a]: 53.56/7.29 ((((('#sk1' @ '#sk3' @ Y1) | ('#sk2' @ 53.56/7.29 '#sk3' @ Y1))) => 53.56/7.29 (Y0 @ Y1)))))) & 53.56/7.29 (((!!) @ (^[Y1 : a]: 53.56/7.29 (((!!) @ (^[Y2 : a]: 53.56/7.29 ((((((('#sk2' @ Y1 @ Y2) | 53.56/7.29 ('#sk1' @ Y1 @ Y2))) & 53.56/7.29 (Y0 @ Y1))) => 53.56/7.29 (Y0 @ Y2))))))))))) => 53.56/7.29 (Y0 @ '#sk4'))))))), 53.56/7.29 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl4])). 53.56/7.29 thf(zip_derived_cl7, plain, 53.56/7.29 (~ (((((((!!) @ (^[Y0 : a]: 53.56/7.29 ((((('#sk1' @ '#sk3' @ Y0) | ('#sk2' @ '#sk3' @ Y0))) => 53.56/7.29 ('#sk5' @ Y0)))))) & 53.56/7.29 (((!!) @ (^[Y0 : a]: 53.56/7.29 (((!!) @ (^[Y1 : a]: 53.56/7.29 ((((((('#sk2' @ Y0 @ Y1) | ('#sk1' @ Y0 @ 53.56/7.29 Y1))) & 53.56/7.29 ('#sk5' @ Y0))) => 53.56/7.29 ('#sk5' @ Y1))))))))))) => 53.56/7.29 ('#sk5' @ '#sk4')))), 53.56/7.29 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl5])). 53.56/7.29 thf(zip_derived_cl10, plain, (~ ('#sk5' @ '#sk4')), 53.56/7.29 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl7])). 53.56/7.29 thf(zip_derived_cl189, plain, 53.56/7.29 (( (((((((!!) @ (^[Y0 : a]: 53.56/7.29 ((((('#sk1' @ '#sk3' @ Y0) | ('#sk2' @ '#sk3' @ Y0))) => 53.56/7.29 ('#sk5' @ Y0)))))) & 53.56/7.29 (((!!) @ (^[Y0 : a]: 53.56/7.29 (((!!) @ (^[Y1 : a]: 53.56/7.29 ((((((('#sk1' @ Y0 @ Y1) | ('#sk2' @ Y0 @ 53.56/7.29 Y1))) & 53.56/7.29 ('#sk5' @ Y0))) => 53.56/7.29 ('#sk5' @ Y1))))))))))) => 53.56/7.29 ($false))) 53.56/7.29 | ~ (((!!) @ (^[Y0 : a]: 53.56/7.29 (((!!) @ (^[Y1 : a]: 53.56/7.29 (((!!) @ (^[Y2 : a]: 53.56/7.29 (((((((!!) @ (^[Y3 : a > $o]: 53.56/7.29 (((((((!!) @ ( 53.56/7.29 ^[Y4 : a]: 53.56/7.29 (( 53.56/7.29 (( 53.56/7.29 ('#sk1' @ 53.56/7.29 Y0 @ 53.56/7.29 Y4) | 53.56/7.29 ('#sk2' @ 53.56/7.29 Y0 @ Y4))) => 53.56/7.29 (Y3 @ Y4)))))) & 53.56/7.29 (((!!) @ ( 53.56/7.29 ^[Y4 : a]: 53.56/7.29 (( 53.56/7.29 (!!) @ ( 53.56/7.29 ^[Y5 : a]: 53.56/7.29 (( 53.56/7.29 (( 53.56/7.29 (( 53.56/7.29 ('#sk1' @ 53.56/7.29 Y4 @ 53.56/7.29 Y5) | 53.56/7.29 ('#sk2' @ 53.56/7.29 Y4 @ Y5))) & 53.56/7.29 (Y3 @ Y4))) => 53.56/7.29 (Y3 @ Y5))))))))))) => 53.56/7.29 (Y3 @ Y1)))))) & 53.56/7.29 (((!!) @ (^[Y3 : a > $o]: 53.56/7.29 (((((((!!) @ ( 53.56/7.29 ^[Y4 : a]: 53.56/7.29 (( 53.56/7.29 (( 53.56/7.29 ('#sk1' @ 53.56/7.29 Y1 @ 53.56/7.29 Y4) | 53.56/7.29 ('#sk2' @ 53.56/7.29 Y1 @ Y4))) => 53.56/7.29 (Y3 @ Y4)))))) & 53.56/7.29 (((!!) @ ( 53.56/7.29 ^[Y4 : a]: 53.56/7.29 (( 53.56/7.29 (!!) @ ( 53.56/7.29 ^[Y5 : a]: 53.56/7.29 (( 53.56/7.29 (( 53.56/7.29 (Y3 @ 53.56/7.29 Y4) & 53.56/7.29 (( 53.56/7.29 ('#sk2' @ 53.56/7.29 Y4 @ 53.56/7.29 Y5) | 53.56/7.29 ('#sk1' @ 53.56/7.29 Y4 @ Y5))))) => 53.56/7.29 (Y3 @ Y5))))))))))) => 53.56/7.29 (Y3 @ Y2)))))))) => 53.56/7.29 (((!!) @ (^[Y3 : a > $o]: 53.56/7.29 (((((((!!) @ ( 53.56/7.29 ^[Y4 : a]: 53.56/7.29 ( 53.56/7.29 ( 53.56/7.29 (( 53.56/7.29 ('#sk2' @ 53.56/7.29 Y0 @ 53.56/7.29 Y4) | 53.56/7.29 ('#sk1' @ 53.56/7.29 Y0 @ Y4))) => 53.56/7.29 (Y3 @ Y4)))))) & 53.56/7.29 (((!!) @ ( 53.56/7.29 ^[Y4 : a]: 53.56/7.29 ( 53.56/7.29 ( 53.56/7.29 (!!) @ ( 53.56/7.29 ^[Y5 : a]: 53.56/7.29 (( 53.56/7.29 (( 53.56/7.29 (Y3 @ 53.56/7.29 Y4) & 53.56/7.29 (( 53.56/7.29 ('#sk2' @ 53.56/7.29 Y4 @ 53.56/7.29 Y5) | 53.56/7.29 ('#sk1' @ 53.56/7.29 Y4 @ Y5))))) => 53.56/7.29 (Y3 @ Y5))))))))))) => 53.56/7.29 (Y3 @ Y2))))))))))))))))) 53.56/7.29 | ~ (((!!) @ (^[Y0 : a]: 53.56/7.29 (((!!) @ (^[Y1 : a]: 53.56/7.29 (((((((!!) @ (^[Y2 : a > $o]: 53.56/7.29 (((((((!!) @ (^[Y3 : a]: 53.56/7.29 (((!!) @ ( 53.56/7.29 ^[Y4 : a]: 53.56/7.29 (( 53.56/7.29 (( 53.56/7.29 (Y2 @ 53.56/7.29 Y3) & 53.56/7.29 ('#sk2' @ 53.56/7.29 Y3 @ Y4))) => 53.56/7.29 (Y2 @ Y4))))))))) & 53.56/7.29 (((!!) @ (^[Y3 : a]: 53.56/7.29 ((('#sk2' @ 53.56/7.29 Y0 @ 53.56/7.29 Y3) => 53.56/7.29 (Y2 @ Y3)))))))) => 53.56/7.29 (Y2 @ Y1)))))) | 53.56/7.29 (((!!) @ (^[Y2 : a > $o]: 53.56/7.29 (((((((!!) @ (^[Y3 : a]: 53.56/7.29 ((('#sk1' @ 53.56/7.29 Y0 @ 53.56/7.29 Y3) => 53.56/7.29 (Y2 @ Y3)))))) & 53.56/7.29 (((!!) @ (^[Y3 : a]: 53.56/7.29 (((!!) @ ( 53.56/7.29 ^[Y4 : a]: 53.56/7.29 (( 53.56/7.29 (( 53.56/7.29 (Y2 @ 53.56/7.29 Y3) & 53.56/7.29 ('#sk1' @ 53.56/7.29 Y3 @ Y4))) => 53.56/7.29 (Y2 @ Y4))))))))))) => 53.56/7.29 (Y2 @ Y1)))))))) => 53.56/7.29 (((!!) @ (^[Y2 : a > $o]: 53.56/7.29 (((((((!!) @ (^[Y3 : a]: 53.56/7.29 ((((('#sk1' @ 53.56/7.29 Y0 @ 53.56/7.29 Y3) | 53.56/7.29 ('#sk2' @ 53.56/7.29 Y0 @ Y3))) => 53.56/7.29 (Y2 @ Y3)))))) & 53.56/7.29 (((!!) @ (^[Y3 : a]: 53.56/7.29 (((!!) @ ( 53.56/7.29 ^[Y4 : a]: 53.56/7.29 ( 53.56/7.29 ( 53.56/7.29 (( 53.56/7.29 (Y2 @ 53.56/7.29 Y3) & 53.56/7.29 (( 53.56/7.29 ('#sk2' @ 53.56/7.29 Y3 @ 53.56/7.29 Y4) | 53.56/7.29 ('#sk1' @ 53.56/7.29 Y3 @ Y4))))) => 53.56/7.29 (Y2 @ Y4))))))))))) => 53.56/7.29 (Y2 @ Y1)))))))))))))))), 53.56/7.29 inference('demod', [status(thm)], [zip_derived_cl12, zip_derived_cl10])). 53.56/7.29 thf(zip_derived_cl190, plain, 53.56/7.29 (( (((~) @ (((((!!) @ (^[Y0 : a]: 53.56/7.29 ((((('#sk1' @ '#sk3' @ Y0) | ('#sk2' @ '#sk3' @ 53.56/7.29 Y0))) => 53.56/7.29 ('#sk5' @ Y0)))))) & 53.56/7.29 (((!!) @ (^[Y0 : a]: 53.56/7.29 (((!!) @ (^[Y1 : a]: 53.56/7.29 ((((((('#sk1' @ Y0 @ Y1) | 53.56/7.29 ('#sk2' @ Y0 @ Y1))) & 53.56/7.29 ('#sk5' @ Y0))) => 53.56/7.29 ('#sk5' @ Y1))))))))))))) 53.56/7.29 | ~ (((!!) @ (^[Y0 : a]: 53.56/7.29 (((!!) @ (^[Y1 : a]: 53.56/7.29 (((!!) @ (^[Y2 : a]: 53.56/7.29 (((((((!!) @ (^[Y3 : a > $o]: 53.56/7.29 (((((((!!) @ ( 53.56/7.29 ^[Y4 : a]: 53.56/7.29 (( 53.56/7.29 (( 53.56/7.29 ('#sk1' @ 53.56/7.29 Y0 @ 53.56/7.29 Y4) | 53.56/7.29 ('#sk2' @ 53.56/7.29 Y0 @ Y4))) => 53.56/7.29 (Y3 @ Y4)))))) & 53.56/7.29 (((!!) @ ( 53.56/7.29 ^[Y4 : a]: 53.56/7.29 (( 53.56/7.29 (!!) @ ( 53.56/7.29 ^[Y5 : a]: 53.56/7.29 (( 53.56/7.29 (( 53.56/7.29 (( 53.56/7.29 ('#sk1' @ 53.56/7.29 Y4 @ 53.56/7.29 Y5) | 53.56/7.29 ('#sk2' @ 53.56/7.29 Y4 @ Y5))) & 53.56/7.29 (Y3 @ Y4))) => 53.56/7.29 (Y3 @ Y5))))))))))) => 53.56/7.29 (Y3 @ Y1)))))) & 53.56/7.29 (((!!) @ (^[Y3 : a > $o]: 53.56/7.29 (((((((!!) @ ( 53.56/7.29 ^[Y4 : a]: 53.56/7.29 (( 53.56/7.29 (( 53.56/7.29 ('#sk1' @ 53.56/7.29 Y1 @ 53.56/7.29 Y4) | 53.56/7.29 ('#sk2' @ 53.56/7.29 Y1 @ Y4))) => 53.56/7.29 (Y3 @ Y4)))))) & 53.56/7.29 (((!!) @ ( 53.56/7.29 ^[Y4 : a]: 53.56/7.29 (( 53.56/7.29 (!!) @ ( 53.56/7.29 ^[Y5 : a]: 53.56/7.29 (( 53.56/7.29 (( 53.56/7.29 (Y3 @ 53.56/7.29 Y4) & 53.56/7.29 (( 53.56/7.29 ('#sk2' @ 53.56/7.29 Y4 @ 53.56/7.29 Y5) | 53.56/7.29 ('#sk1' @ 53.56/7.29 Y4 @ Y5))))) => 53.56/7.29 (Y3 @ Y5))))))))))) => 53.56/7.29 (Y3 @ Y2)))))))) => 53.56/7.29 (((!!) @ (^[Y3 : a > $o]: 53.56/7.29 (((((((!!) @ ( 53.56/7.29 ^[Y4 : a]: 53.56/7.29 ( 53.56/7.29 ( 53.56/7.29 (( 53.56/7.29 ('#sk2' @ 53.56/7.29 Y0 @ 53.56/7.29 Y4) | 53.56/7.29 ('#sk1' @ 53.56/7.29 Y0 @ Y4))) => 53.56/7.29 (Y3 @ Y4)))))) & 53.56/7.29 (((!!) @ ( 53.56/7.29 ^[Y4 : a]: 53.56/7.29 ( 53.56/7.29 ( 53.56/7.29 (!!) @ ( 53.56/7.29 ^[Y5 : a]: 53.56/7.30 (( 53.56/7.30 (( 53.56/7.30 (Y3 @ 53.56/7.30 Y4) & 53.56/7.30 (( 53.56/7.30 ('#sk2' @ 53.56/7.30 Y4 @ 53.56/7.30 Y5) | 53.56/7.30 ('#sk1' @ 53.56/7.30 Y4 @ Y5))))) => 53.56/7.30 (Y3 @ Y5))))))))))) => 53.56/7.30 (Y3 @ Y2))))))))))))))))) 53.56/7.30 | ~ (((!!) @ (^[Y0 : a]: 53.56/7.30 (((!!) @ (^[Y1 : a]: 53.56/7.30 (((((((!!) @ (^[Y2 : a > $o]: 53.56/7.30 (((((((!!) @ (^[Y3 : a]: 53.56/7.30 (((!!) @ ( 53.56/7.30 ^[Y4 : a]: 53.56/7.30 (( 53.56/7.30 (( 53.56/7.30 (Y2 @ 53.56/7.30 Y3) & 53.56/7.30 ('#sk2' @ 53.56/7.30 Y3 @ Y4))) => 53.56/7.30 (Y2 @ Y4))))))))) & 53.56/7.30 (((!!) @ (^[Y3 : a]: 53.56/7.30 ((('#sk2' @ 53.56/7.30 Y0 @ 53.56/7.30 Y3) => 53.56/7.30 (Y2 @ Y3)))))))) => 53.56/7.30 (Y2 @ Y1)))))) | 53.56/7.30 (((!!) @ (^[Y2 : a > $o]: 53.56/7.30 (((((((!!) @ (^[Y3 : a]: 53.56/7.30 ((('#sk1' @ 53.56/7.30 Y0 @ 53.56/7.30 Y3) => 53.56/7.30 (Y2 @ Y3)))))) & 53.56/7.30 (((!!) @ (^[Y3 : a]: 53.56/7.30 (((!!) @ ( 53.56/7.30 ^[Y4 : a]: 53.56/7.30 (( 53.56/7.30 (( 53.56/7.30 (Y2 @ 53.56/7.30 Y3) & 53.56/7.30 ('#sk1' @ 53.56/7.30 Y3 @ Y4))) => 53.56/7.30 (Y2 @ Y4))))))))))) => 53.56/7.30 (Y2 @ Y1)))))))) => 53.56/7.30 (((!!) @ (^[Y2 : a > $o]: 53.56/7.30 (((((((!!) @ (^[Y3 : a]: 53.56/7.30 ((((('#sk1' @ 53.56/7.30 Y0 @ 53.56/7.30 Y3) | 53.56/7.30 ('#sk2' @ 53.56/7.30 Y0 @ Y3))) => 53.56/7.30 (Y2 @ Y3)))))) & 53.56/7.30 (((!!) @ (^[Y3 : a]: 53.56/7.30 (((!!) @ ( 53.56/7.30 ^[Y4 : a]: 53.56/7.30 ( 53.56/7.30 ( 53.56/7.30 (( 53.56/7.30 (Y2 @ 53.56/7.30 Y3) & 53.56/7.30 (( 53.56/7.30 ('#sk2' @ 53.56/7.30 Y3 @ 53.56/7.30 Y4) | 53.56/7.30 ('#sk1' @ 53.56/7.30 Y3 @ Y4))))) => 53.56/7.30 (Y2 @ Y4))))))))))) => 53.56/7.30 (Y2 @ Y1)))))))))))))))), 53.56/7.30 inference('simplify boolean subterms', [status(thm)], [zip_derived_cl189])). 53.56/7.30 thf(zip_derived_cl191, plain, 53.56/7.30 ((~ (((((!!) @ (^[Y0 : a]: 53.56/7.30 ((((('#sk1' @ '#sk3' @ Y0) | ('#sk2' @ '#sk3' @ Y0))) => 53.56/7.30 ('#sk5' @ Y0)))))) & 53.56/7.30 (((!!) @ (^[Y0 : a]: 53.56/7.30 (((!!) @ (^[Y1 : a]: 53.56/7.30 ((((((('#sk1' @ Y0 @ Y1) | ('#sk2' @ Y0 @ 53.56/7.30 Y1))) & 53.56/7.30 ('#sk5' @ Y0))) => 53.56/7.30 ('#sk5' @ Y1))))))))))) 53.56/7.30 | ~ (((!!) @ (^[Y0 : a]: 53.56/7.30 (((!!) @ (^[Y1 : a]: 53.56/7.30 (((!!) @ (^[Y2 : a]: 53.56/7.30 (((((((!!) @ (^[Y3 : a > $o]: 53.56/7.30 (((((((!!) @ ( 53.56/7.30 ^[Y4 : a]: 53.56/7.30 (( 53.56/7.30 (( 53.56/7.30 ('#sk1' @ 53.56/7.30 Y0 @ 53.56/7.30 Y4) | 53.56/7.30 ('#sk2' @ 53.56/7.30 Y0 @ Y4))) => 53.56/7.30 (Y3 @ Y4)))))) & 53.56/7.30 (((!!) @ ( 53.56/7.30 ^[Y4 : a]: 53.56/7.30 (( 53.56/7.30 (!!) @ ( 53.56/7.30 ^[Y5 : a]: 53.56/7.30 (( 53.56/7.30 (( 53.56/7.30 (( 53.56/7.30 ('#sk1' @ 53.56/7.30 Y4 @ 53.56/7.30 Y5) | 53.56/7.30 ('#sk2' @ 53.56/7.30 Y4 @ Y5))) & 53.56/7.30 (Y3 @ Y4))) => 53.56/7.30 (Y3 @ Y5))))))))))) => 53.56/7.30 (Y3 @ Y1)))))) & 53.56/7.30 (((!!) @ (^[Y3 : a > $o]: 53.56/7.30 (((((((!!) @ ( 53.56/7.30 ^[Y4 : a]: 53.56/7.30 (( 53.56/7.30 (( 53.56/7.30 ('#sk1' @ 53.56/7.30 Y1 @ 53.56/7.30 Y4) | 53.56/7.30 ('#sk2' @ 53.56/7.30 Y1 @ Y4))) => 53.56/7.30 (Y3 @ Y4)))))) & 53.56/7.30 (((!!) @ ( 53.56/7.30 ^[Y4 : a]: 53.56/7.30 (( 53.56/7.30 (!!) @ ( 53.56/7.30 ^[Y5 : a]: 53.56/7.30 (( 53.56/7.30 (( 53.56/7.30 (Y3 @ 53.56/7.30 Y4) & 53.56/7.30 (( 53.56/7.30 ('#sk2' @ 53.56/7.30 Y4 @ 53.56/7.30 Y5) | 53.56/7.30 ('#sk1' @ 53.56/7.30 Y4 @ Y5))))) => 53.56/7.30 (Y3 @ Y5))))))))))) => 53.56/7.30 (Y3 @ Y2)))))))) => 53.56/7.30 (((!!) @ (^[Y3 : a > $o]: 53.56/7.30 (((((((!!) @ ( 53.56/7.30 ^[Y4 : a]: 53.56/7.30 ( 53.56/7.30 ( 53.56/7.30 (( 53.56/7.30 ('#sk2' @ 53.56/7.30 Y0 @ 53.56/7.30 Y4) | 53.56/7.30 ('#sk1' @ 53.56/7.30 Y0 @ Y4))) => 53.56/7.30 (Y3 @ Y4)))))) & 53.56/7.30 (((!!) @ ( 53.56/7.30 ^[Y4 : a]: 53.56/7.30 ( 53.56/7.30 ( 53.56/7.30 (!!) @ ( 53.56/7.30 ^[Y5 : a]: 53.56/7.30 (( 53.56/7.30 (( 53.56/7.30 (Y3 @ 53.56/7.30 Y4) & 53.56/7.30 (( 53.56/7.30 ('#sk2' @ 53.56/7.30 Y4 @ 53.56/7.30 Y5) | 53.56/7.30 ('#sk1' @ 53.56/7.30 Y4 @ Y5))))) => 53.56/7.30 (Y3 @ Y5))))))))))) => 53.56/7.30 (Y3 @ Y2))))))))))))))))) 53.56/7.30 | ~ (((!!) @ (^[Y0 : a]: 53.56/7.30 (((!!) @ (^[Y1 : a]: 53.56/7.30 (((((((!!) @ (^[Y2 : a > $o]: 53.56/7.30 (((((((!!) @ (^[Y3 : a]: 53.56/7.30 (((!!) @ ( 53.56/7.30 ^[Y4 : a]: 53.56/7.30 (( 53.56/7.30 (( 53.56/7.30 (Y2 @ 53.56/7.30 Y3) & 53.56/7.30 ('#sk2' @ 53.56/7.30 Y3 @ Y4))) => 53.56/7.30 (Y2 @ Y4))))))))) & 53.56/7.30 (((!!) @ (^[Y3 : a]: 53.56/7.30 ((('#sk2' @ 53.56/7.30 Y0 @ 53.56/7.30 Y3) => 53.56/7.30 (Y2 @ Y3)))))))) => 53.56/7.30 (Y2 @ Y1)))))) | 53.56/7.30 (((!!) @ (^[Y2 : a > $o]: 53.56/7.30 (((((((!!) @ (^[Y3 : a]: 53.56/7.30 ((('#sk1' @ 53.56/7.30 Y0 @ 53.56/7.30 Y3) => 53.56/7.30 (Y2 @ Y3)))))) & 53.56/7.30 (((!!) @ (^[Y3 : a]: 53.56/7.30 (((!!) @ ( 53.56/7.30 ^[Y4 : a]: 53.56/7.30 (( 53.56/7.30 (( 53.56/7.30 (Y2 @ 53.56/7.30 Y3) & 53.56/7.30 ('#sk1' @ 53.56/7.30 Y3 @ Y4))) => 53.56/7.30 (Y2 @ Y4))))))))))) => 53.56/7.30 (Y2 @ Y1)))))))) => 53.56/7.30 (((!!) @ (^[Y2 : a > $o]: 53.56/7.30 (((((((!!) @ (^[Y3 : a]: 53.56/7.30 ((((('#sk1' @ 53.56/7.30 Y0 @ 53.56/7.30 Y3) | 53.56/7.30 ('#sk2' @ 53.56/7.30 Y0 @ Y3))) => 53.56/7.30 (Y2 @ Y3)))))) & 53.56/7.30 (((!!) @ (^[Y3 : a]: 53.56/7.30 (((!!) @ ( 53.56/7.30 ^[Y4 : a]: 53.56/7.30 ( 53.56/7.30 ( 53.56/7.30 (( 53.56/7.30 (Y2 @ 53.56/7.30 Y3) & 53.56/7.30 (( 53.56/7.30 ('#sk2' @ 53.56/7.30 Y3 @ 53.56/7.30 Y4) | 53.56/7.30 ('#sk1' @ 53.56/7.30 Y3 @ Y4))))) => 53.56/7.30 (Y2 @ Y4))))))))))) => 53.56/7.30 (Y2 @ Y1)))))))))))))))), 53.56/7.30 inference('simplify nested equalities', [status(thm)], 53.56/7.30 [zip_derived_cl190])). 53.56/7.30 thf(zip_derived_cl28, plain, 53.56/7.30 (( ('#form25') 53.56/7.30 | ~ (((!!) @ (^[Y0 : a]: 53.56/7.30 (((!!) @ (^[Y1 : a]: 53.56/7.30 (((!!) @ (^[Y2 : a]: 53.56/7.30 (((((((!!) @ (^[Y3 : a > $o]: 53.56/7.30 (((((((!!) @ ( 53.56/7.30 ^[Y4 : a]: 53.56/7.30 (( 53.56/7.30 (( 53.56/7.30 ('#sk1' @ 53.56/7.30 Y0 @ 53.56/7.30 Y4) | 53.56/7.30 ('#sk2' @ 53.56/7.30 Y0 @ Y4))) => 53.56/7.30 (Y3 @ Y4)))))) & 53.56/7.30 (((!!) @ ( 53.56/7.30 ^[Y4 : a]: 53.56/7.30 (( 53.56/7.30 (!!) @ ( 53.56/7.30 ^[Y5 : a]: 53.56/7.30 (( 53.56/7.30 (( 53.56/7.30 (( 53.56/7.30 ('#sk1' @ 53.56/7.30 Y4 @ 53.56/7.30 Y5) | 53.56/7.30 ('#sk2' @ 53.56/7.30 Y4 @ Y5))) & 53.56/7.30 (Y3 @ Y4))) => 53.56/7.30 (Y3 @ Y5))))))))))) => 53.56/7.30 (Y3 @ Y1)))))) & 53.56/7.30 (((!!) @ (^[Y3 : a > $o]: 53.56/7.30 (((((((!!) @ ( 53.56/7.30 ^[Y4 : a]: 53.56/7.30 (( 53.56/7.30 (( 53.56/7.30 ('#sk1' @ 53.56/7.30 Y1 @ 53.56/7.30 Y4) | 53.56/7.30 ('#sk2' @ 53.56/7.30 Y1 @ Y4))) => 53.56/7.30 (Y3 @ Y4)))))) & 53.56/7.30 (((!!) @ ( 53.56/7.30 ^[Y4 : a]: 53.56/7.30 (( 53.56/7.30 (!!) @ ( 53.56/7.30 ^[Y5 : a]: 53.56/7.30 (( 53.56/7.30 (( 53.56/7.30 (Y3 @ 53.56/7.30 Y4) & 53.56/7.30 (( 53.56/7.30 ('#sk2' @ 53.56/7.30 Y4 @ 53.56/7.30 Y5) | 53.56/7.30 ('#sk1' @ 53.56/7.30 Y4 @ Y5))))) => 53.56/7.30 (Y3 @ Y5))))))))))) => 53.56/7.30 (Y3 @ Y2)))))))) => 53.56/7.30 (((!!) @ (^[Y3 : a > $o]: 53.56/7.30 (((((((!!) @ ( 53.56/7.30 ^[Y4 : a]: 53.56/7.30 ( 53.56/7.30 ( 53.56/7.30 (( 53.56/7.30 ('#sk2' @ 53.56/7.30 Y0 @ 53.56/7.30 Y4) | 53.56/7.30 ('#sk1' @ 53.56/7.30 Y0 @ Y4))) => 53.56/7.30 (Y3 @ Y4)))))) & 53.56/7.30 (((!!) @ ( 53.56/7.30 ^[Y4 : a]: 53.56/7.30 ( 53.56/7.30 ( 53.56/7.30 (!!) @ ( 53.56/7.30 ^[Y5 : a]: 53.56/7.30 (( 53.56/7.30 (( 53.56/7.30 (Y3 @ 53.56/7.30 Y4) & 53.56/7.30 (( 53.56/7.30 ('#sk2' @ 53.56/7.30 Y4 @ 53.56/7.30 Y5) | 53.56/7.30 ('#sk1' @ 53.56/7.30 Y4 @ Y5))))) => 53.56/7.30 (Y3 @ Y5))))))))))) => 53.56/7.30 (Y3 @ Y2))))))))))))))))))), 53.56/7.30 define([status(thm)])). 53.56/7.30 thf(zip_derived_cl192, plain, 53.56/7.30 ((~ ('#form25') 53.56/7.30 | ~ (((!!) @ (^[Y0 : a]: 53.56/7.30 (((!!) @ (^[Y1 : a]: 53.56/7.30 (((((((!!) @ (^[Y2 : a > $o]: 53.56/7.30 (((((((!!) @ (^[Y3 : a]: 53.56/7.30 (((!!) @ ( 53.56/7.30 ^[Y4 : a]: 53.56/7.30 (( 53.56/7.30 (( 53.56/7.30 (Y2 @ 53.56/7.30 Y3) & 53.56/7.30 ('#sk2' @ 53.56/7.30 Y3 @ Y4))) => 53.56/7.30 (Y2 @ Y4))))))))) & 53.56/7.30 (((!!) @ (^[Y3 : a]: 53.56/7.30 ((('#sk2' @ 53.56/7.30 Y0 @ 53.56/7.30 Y3) => 53.56/7.30 (Y2 @ Y3)))))))) => 53.56/7.30 (Y2 @ Y1)))))) | 53.56/7.30 (((!!) @ (^[Y2 : a > $o]: 53.56/7.30 (((((((!!) @ (^[Y3 : a]: 53.56/7.30 ((('#sk1' @ 53.56/7.30 Y0 @ 53.56/7.30 Y3) => 53.56/7.30 (Y2 @ Y3)))))) & 53.56/7.30 (((!!) @ (^[Y3 : a]: 53.56/7.30 (((!!) @ ( 53.56/7.30 ^[Y4 : a]: 53.56/7.30 (( 53.56/7.30 (( 53.56/7.30 (Y2 @ 53.56/7.30 Y3) & 53.56/7.30 ('#sk1' @ 53.56/7.30 Y3 @ Y4))) => 53.56/7.30 (Y2 @ Y4))))))))))) => 53.56/7.30 (Y2 @ Y1)))))))) => 53.56/7.30 (((!!) @ (^[Y2 : a > $o]: 53.56/7.30 (((((((!!) @ (^[Y3 : a]: 53.56/7.30 ((((('#sk1' @ 53.56/7.30 Y0 @ 53.56/7.30 Y3) | 53.56/7.30 ('#sk2' @ 53.56/7.30 Y0 @ Y3))) => 53.56/7.30 (Y2 @ Y3)))))) & 53.56/7.30 (((!!) @ (^[Y3 : a]: 53.56/7.30 (((!!) @ ( 53.56/7.30 ^[Y4 : a]: 53.56/7.30 ( 53.56/7.30 ( 53.56/7.30 (( 53.56/7.30 (Y2 @ 53.56/7.30 Y3) & 53.56/7.30 (( 53.56/7.30 ('#sk2' @ 53.56/7.30 Y3 @ 53.56/7.30 Y4) | 53.56/7.30 ('#sk1' @ 53.56/7.30 Y3 @ Y4))))) => 53.56/7.30 (Y2 @ Y4))))))))))) => 53.56/7.30 (Y2 @ Y1)))))))))))))) 53.56/7.30 | ~ (((((!!) @ (^[Y0 : a]: 53.56/7.30 ((((('#sk1' @ '#sk3' @ Y0) | ('#sk2' @ '#sk3' @ Y0))) => 53.56/7.30 ('#sk5' @ Y0)))))) & 53.56/7.30 (((!!) @ (^[Y0 : a]: 53.56/7.30 (((!!) @ (^[Y1 : a]: 53.56/7.30 ((((((('#sk1' @ Y0 @ Y1) | ('#sk2' @ 53.56/7.30 Y0 @ Y1))) & 53.56/7.30 ('#sk5' @ Y0))) => 53.56/7.30 ('#sk5' @ Y1))))))))))))), 53.56/7.30 inference('renaming', [status(thm)], 53.56/7.30 [zip_derived_cl191, zip_derived_cl28])). 53.56/7.30 thf(zip_derived_cl34, plain, 53.56/7.30 (( ('#form34') 53.56/7.30 | ~ (((!!) @ (^[Y0 : a]: 53.56/7.30 (((!!) @ (^[Y1 : a]: 53.56/7.30 (((((((!!) @ (^[Y2 : a > $o]: 53.56/7.30 (((((((!!) @ (^[Y3 : a]: 53.56/7.30 (((!!) @ ( 53.56/7.30 ^[Y4 : a]: 53.56/7.30 (( 53.56/7.30 (( 53.56/7.30 (Y2 @ 53.56/7.30 Y3) & 53.56/7.30 ('#sk2' @ 53.56/7.30 Y3 @ Y4))) => 53.56/7.30 (Y2 @ Y4))))))))) & 53.56/7.30 (((!!) @ (^[Y3 : a]: 53.56/7.30 ((('#sk2' @ 53.56/7.30 Y0 @ 53.56/7.30 Y3) => 53.56/7.30 (Y2 @ Y3)))))))) => 53.56/7.30 (Y2 @ Y1)))))) | 53.56/7.30 (((!!) @ (^[Y2 : a > $o]: 53.56/7.30 (((((((!!) @ (^[Y3 : a]: 53.56/7.30 ((('#sk1' @ 53.56/7.30 Y0 @ 53.56/7.30 Y3) => 53.56/7.30 (Y2 @ Y3)))))) & 53.56/7.30 (((!!) @ (^[Y3 : a]: 53.56/7.30 (((!!) @ ( 53.56/7.30 ^[Y4 : a]: 53.56/7.30 (( 53.56/7.30 (( 53.56/7.30 (Y2 @ 53.56/7.30 Y3) & 53.56/7.30 ('#sk1' @ 53.56/7.30 Y3 @ Y4))) => 53.56/7.30 (Y2 @ Y4))))))))))) => 53.56/7.30 (Y2 @ Y1)))))))) => 53.56/7.30 (((!!) @ (^[Y2 : a > $o]: 53.56/7.30 (((((((!!) @ (^[Y3 : a]: 53.56/7.30 ((((('#sk1' @ 53.56/7.30 Y0 @ 53.56/7.30 Y3) | 53.56/7.30 ('#sk2' @ 53.56/7.30 Y0 @ Y3))) => 53.56/7.30 (Y2 @ Y3)))))) & 53.56/7.30 (((!!) @ (^[Y3 : a]: 53.56/7.30 (((!!) @ ( 53.56/7.30 ^[Y4 : a]: 53.56/7.30 ( 53.56/7.30 ( 53.56/7.30 (( 53.56/7.30 (Y2 @ 53.56/7.30 Y3) & 53.56/7.30 (( 53.56/7.30 ('#sk2' @ 53.56/7.30 Y3 @ 53.56/7.30 Y4) | 53.56/7.30 ('#sk1' @ 53.56/7.30 Y3 @ Y4))))) => 53.56/7.30 (Y2 @ Y4))))))))))) => 53.56/7.30 (Y2 @ Y1)))))))))))))))), 53.56/7.30 define([status(thm)])). 53.56/7.30 thf(zip_derived_cl193, plain, 53.56/7.30 ((~ ('#form34') 53.56/7.30 | ~ (((((!!) @ (^[Y0 : a]: 53.56/7.30 ((((('#sk1' @ '#sk3' @ Y0) | ('#sk2' @ '#sk3' @ Y0))) => 53.56/7.30 ('#sk5' @ Y0)))))) & 53.56/7.30 (((!!) @ (^[Y0 : a]: 53.56/7.30 (((!!) @ (^[Y1 : a]: 53.56/7.30 ((((((('#sk1' @ Y0 @ Y1) | ('#sk2' @ 53.56/7.30 Y0 @ Y1))) & 53.56/7.30 ('#sk5' @ Y0))) => 53.56/7.30 ('#sk5' @ Y1))))))))))) 53.56/7.30 | ~ ('#form25'))), 53.56/7.30 inference('renaming', [status(thm)], 53.56/7.30 [zip_derived_cl192, zip_derived_cl34])). 53.56/7.30 thf(zip_derived_cl194, plain, 53.56/7.30 ((~ (((!!) @ (^[Y0 : a]: 53.56/7.30 ((((('#sk1' @ '#sk3' @ Y0) | ('#sk2' @ '#sk3' @ Y0))) => 53.56/7.30 ('#sk5' @ Y0)))))) 53.56/7.30 | ~ (((!!) @ (^[Y0 : a]: 53.56/7.30 (((!!) @ (^[Y1 : a]: 53.56/7.30 ((((((('#sk1' @ Y0 @ Y1) | ('#sk2' @ Y0 @ 53.56/7.30 Y1))) & 53.56/7.30 ('#sk5' @ Y0))) => 53.56/7.30 ('#sk5' @ Y1))))))))) 53.56/7.30 | ~ ('#form25') 53.56/7.30 | ~ ('#form34'))), 53.56/7.30 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl193])). 53.56/7.30 thf(zip_derived_cl42, plain, 53.56/7.30 (![X2 : a > $o]: 53.56/7.30 ( ('#form49' @ X2) 53.56/7.30 | ~ (((!!) @ (^[Y0 : a]: 53.56/7.30 (((!!) @ (^[Y1 : a]: 53.56/7.30 ((((((('#sk1' @ Y0 @ Y1) | ('#sk2' @ 53.56/7.30 Y0 @ Y1))) & 53.56/7.30 (X2 @ Y0))) => 53.56/7.30 (X2 @ Y1))))))))))), 53.56/7.30 define([status(thm)])). 53.56/7.30 thf(zip_derived_cl195, plain, 53.56/7.30 ((~ ('#form49' @ '#sk5') 53.56/7.30 | ~ ('#form34') 53.56/7.30 | ~ ('#form25') 53.56/7.30 | ~ (((!!) @ (^[Y0 : a]: 53.56/7.30 ((((('#sk1' @ '#sk3' @ Y0) | ('#sk2' @ '#sk3' @ Y0))) => 53.56/7.30 ('#sk5' @ Y0)))))))), 53.56/7.30 inference('renaming', [status(thm)], 53.56/7.30 [zip_derived_cl194, zip_derived_cl42])). 53.56/7.30 thf(zip_derived_cl196, plain, 53.56/7.30 ((~ ((((('#sk1' @ '#sk3' @ ('#sk15' @ '#sk5')) | ('#sk2' @ '#sk3' @ 53.56/7.30 ('#sk15' @ '#sk5')))) => 53.56/7.30 ('#sk5' @ ('#sk15' @ '#sk5')))) 53.56/7.30 | ~ ('#form25') 53.56/7.30 | ~ ('#form34') 53.56/7.30 | ~ ('#form49' @ '#sk5'))), 53.56/7.30 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl195])). 53.56/7.30 thf(zip_derived_cl197, plain, 53.56/7.30 (( ((('#sk1' @ '#sk3' @ ('#sk15' @ '#sk5')) | ('#sk2' @ '#sk3' @ 53.56/7.30 ('#sk15' @ '#sk5')))) 53.56/7.30 | ~ ('#form49' @ '#sk5') 53.56/7.30 | ~ ('#form34') 53.56/7.30 | ~ ('#form25'))), 53.56/7.30 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl196])). 53.56/7.30 thf(zip_derived_cl199, plain, 53.56/7.30 (( ('#sk1' @ '#sk3' @ ('#sk15' @ '#sk5')) 53.56/7.30 | ('#sk2' @ '#sk3' @ ('#sk15' @ '#sk5')) 53.56/7.30 | ~ ('#form25') 53.56/7.30 | ~ ('#form34') 53.56/7.30 | ~ ('#form49' @ '#sk5'))), 53.56/7.30 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl197])). 53.56/7.30 thf(zip_derived_cl34, plain, 53.56/7.30 (( ('#form34') 53.56/7.30 | ~ (((!!) @ (^[Y0 : a]: 53.56/7.30 (((!!) @ (^[Y1 : a]: 53.56/7.30 (((((((!!) @ (^[Y2 : a > $o]: 53.56/7.30 (((((((!!) @ (^[Y3 : a]: 53.56/7.30 (((!!) @ ( 53.56/7.30 ^[Y4 : a]: 53.56/7.30 (( 53.56/7.30 (( 53.56/7.30 (Y2 @ 53.56/7.30 Y3) & 53.56/7.30 ('#sk2' @ 53.56/7.30 Y3 @ Y4))) => 53.56/7.30 (Y2 @ Y4))))))))) & 53.56/7.30 (((!!) @ (^[Y3 : a]: 53.56/7.30 ((('#sk2' @ 53.56/7.30 Y0 @ 53.56/7.30 Y3) => 53.56/7.30 (Y2 @ Y3)))))))) => 53.56/7.30 (Y2 @ Y1)))))) | 53.56/7.30 (((!!) @ (^[Y2 : a > $o]: 53.56/7.30 (((((((!!) @ (^[Y3 : a]: 53.56/7.30 ((('#sk1' @ 53.56/7.30 Y0 @ 53.56/7.30 Y3) => 53.56/7.30 (Y2 @ Y3)))))) & 53.56/7.30 (((!!) @ (^[Y3 : a]: 53.56/7.30 (((!!) @ ( 53.56/7.30 ^[Y4 : a]: 53.56/7.30 (( 53.56/7.30 (( 53.56/7.30 (Y2 @ 53.56/7.30 Y3) & 53.56/7.30 ('#sk1' @ 53.56/7.30 Y3 @ Y4))) => 53.56/7.30 (Y2 @ Y4))))))))))) => 53.56/7.30 (Y2 @ Y1)))))))) => 53.56/7.30 (((!!) @ (^[Y2 : a > $o]: 53.56/7.30 (((((((!!) @ (^[Y3 : a]: 53.56/7.30 ((((('#sk1' @ 53.56/7.30 Y0 @ 53.56/7.30 Y3) | 53.56/7.30 ('#sk2' @ 53.56/7.30 Y0 @ Y3))) => 53.56/7.30 (Y2 @ Y3)))))) & 53.56/7.30 (((!!) @ (^[Y3 : a]: 53.56/7.30 (((!!) @ ( 53.56/7.30 ^[Y4 : a]: 53.56/7.30 ( 53.56/7.30 ( 53.56/7.30 (( 53.56/7.30 (Y2 @ 53.56/7.30 Y3) & 53.56/7.30 (( 53.56/7.30 ('#sk2' @ 53.56/7.30 Y3 @ 53.56/7.30 Y4) | 53.56/7.30 ('#sk1' @ 53.56/7.30 Y3 @ Y4))))) => 53.56/7.30 (Y2 @ Y4))))))))))) => 53.56/7.30 (Y2 @ Y1)))))))))))))))), 53.56/7.30 define([status(thm)])). 53.56/7.30 thf(zip_derived_cl35, plain, 53.56/7.30 ((~ (((!!) @ (^[Y0 : a]: 53.56/7.30 (((((((!!) @ (^[Y1 : a > $o]: 53.56/7.30 (((((((!!) @ (^[Y2 : a]: 53.56/7.30 (((!!) @ (^[Y3 : a]: 53.56/7.30 (((((Y1 @ 53.56/7.30 Y2) & 53.56/7.30 ('#sk2' @ 53.56/7.30 Y2 @ Y3))) => 53.56/7.30 (Y1 @ Y3))))))))) & 53.56/7.30 (((!!) @ (^[Y2 : a]: 53.56/7.30 ((('#sk2' @ '#sk35' @ 53.56/7.30 Y2) => (Y1 @ Y2)))))))) => 53.56/7.30 (Y1 @ Y0)))))) | 53.56/7.30 (((!!) @ (^[Y1 : a > $o]: 53.56/7.30 (((((((!!) @ (^[Y2 : a]: 53.56/7.30 ((('#sk1' @ '#sk35' @ 53.56/7.30 Y2) => (Y1 @ Y2)))))) & 53.56/7.30 (((!!) @ (^[Y2 : a]: 53.56/7.30 (((!!) @ (^[Y3 : a]: 53.56/7.30 (((((Y1 @ 53.56/7.30 Y2) & 53.56/7.30 ('#sk1' @ 53.56/7.30 Y2 @ Y3))) => 53.56/7.30 (Y1 @ Y3))))))))))) => 53.56/7.30 (Y1 @ Y0)))))))) => 53.56/7.30 (((!!) @ (^[Y1 : a > $o]: 53.56/7.30 (((((((!!) @ (^[Y2 : a]: 53.56/7.30 ((((('#sk1' @ '#sk35' @ 53.56/7.30 Y2) | ('#sk2' @ 53.56/7.30 '#sk35' @ Y2))) => 53.56/7.30 (Y1 @ Y2)))))) & 53.56/7.30 (((!!) @ (^[Y2 : a]: 53.56/7.30 (((!!) @ (^[Y3 : a]: 53.56/7.30 (((((Y1 @ Y2) & 53.56/7.30 ((('#sk2' @ 53.56/7.30 Y2 @ 53.56/7.30 Y3) | 53.56/7.30 ('#sk1' @ 53.56/7.30 Y2 @ Y3))))) => 53.56/7.30 (Y1 @ Y3))))))))))) => 53.56/7.30 (Y1 @ Y0))))))))))) 53.56/7.30 | ('#form34'))), 53.56/7.30 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl34])). 53.56/7.30 thf(zip_derived_cl40, plain, 53.56/7.30 ((~ (((((((!!) @ (^[Y0 : a > $o]: 53.56/7.30 (((((((!!) @ (^[Y1 : a]: 53.56/7.30 (((!!) @ (^[Y2 : a]: 53.56/7.30 (((((Y0 @ Y1) & 53.56/7.30 ('#sk2' @ Y1 @ Y2))) => 53.56/7.30 (Y0 @ Y2))))))))) & 53.56/7.30 (((!!) @ (^[Y1 : a]: 53.56/7.30 ((('#sk2' @ '#sk35' @ Y1) => (Y0 @ 53.56/7.30 Y1)))))))) => 53.56/7.30 (Y0 @ '#sk44')))))) | 53.56/7.30 (((!!) @ (^[Y0 : a > $o]: 53.56/7.30 (((((((!!) @ (^[Y1 : a]: 53.56/7.30 ((('#sk1' @ '#sk35' @ Y1) => (Y0 @ 53.56/7.30 Y1)))))) & 53.56/7.30 (((!!) @ (^[Y1 : a]: 53.56/7.30 (((!!) @ (^[Y2 : a]: 53.56/7.30 (((((Y0 @ Y1) & 53.56/7.30 ('#sk1' @ Y1 @ Y2))) => 53.56/7.30 (Y0 @ Y2))))))))))) => 53.56/7.30 (Y0 @ '#sk44')))))))) => 53.56/7.30 (((!!) @ (^[Y0 : a > $o]: 53.56/7.30 (((((((!!) @ (^[Y1 : a]: 53.56/7.30 ((((('#sk1' @ '#sk35' @ Y1) | 53.56/7.30 ('#sk2' @ '#sk35' @ Y1))) => 53.56/7.30 (Y0 @ Y1)))))) & 53.56/7.30 (((!!) @ (^[Y1 : a]: 53.56/7.30 (((!!) @ (^[Y2 : a]: 53.56/7.30 (((((Y0 @ Y1) & 53.56/7.30 ((('#sk2' @ Y1 @ Y2) | 53.56/7.30 ('#sk1' @ Y1 @ Y2))))) => 53.56/7.30 (Y0 @ Y2))))))))))) => 53.56/7.30 (Y0 @ '#sk44')))))))) 53.56/7.30 | ('#form34'))), 53.56/7.30 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl35])). 53.56/7.30 thf(zip_derived_cl46, plain, 53.56/7.30 (( (((((!!) @ (^[Y0 : a > $o]: 53.56/7.30 (((((((!!) @ (^[Y1 : a]: 53.56/7.30 (((!!) @ (^[Y2 : a]: 53.56/7.30 (((((Y0 @ Y1) & ('#sk2' @ 53.56/7.30 Y1 @ Y2))) => 53.56/7.30 (Y0 @ Y2))))))))) & 53.56/7.30 (((!!) @ (^[Y1 : a]: 53.56/7.30 ((('#sk2' @ '#sk35' @ Y1) => (Y0 @ Y1)))))))) => 53.56/7.30 (Y0 @ '#sk44')))))) | 53.56/7.30 (((!!) @ (^[Y0 : a > $o]: 53.56/7.30 (((((((!!) @ (^[Y1 : a]: 53.56/7.30 ((('#sk1' @ '#sk35' @ Y1) => (Y0 @ Y1)))))) & 53.56/7.30 (((!!) @ (^[Y1 : a]: 53.56/7.30 (((!!) @ (^[Y2 : a]: 53.56/7.30 (((((Y0 @ Y1) & ('#sk1' @ 53.56/7.30 Y1 @ Y2))) => 53.56/7.30 (Y0 @ Y2))))))))))) => 53.56/7.30 (Y0 @ '#sk44')))))))) 53.56/7.30 | ('#form34'))), 53.56/7.30 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl40])). 53.56/7.30 thf(zip_derived_cl52, plain, 53.56/7.30 (( (((!!) @ (^[Y0 : a > $o]: 53.56/7.30 (((((((!!) @ (^[Y1 : a]: 53.56/7.30 (((!!) @ (^[Y2 : a]: 53.56/7.30 (((((Y0 @ Y1) & ('#sk2' @ 53.56/7.30 Y1 @ Y2))) => 53.56/7.30 (Y0 @ Y2))))))))) & 53.56/7.30 (((!!) @ (^[Y1 : a]: 53.56/7.30 ((('#sk2' @ '#sk35' @ Y1) => (Y0 @ Y1)))))))) => 53.56/7.30 (Y0 @ '#sk44')))))) 53.56/7.30 | (((!!) @ (^[Y0 : a > $o]: 53.56/7.30 (((((((!!) @ (^[Y1 : a]: 53.56/7.30 ((('#sk1' @ '#sk35' @ Y1) => (Y0 @ Y1)))))) & 53.56/7.30 (((!!) @ (^[Y1 : a]: 53.56/7.30 (((!!) @ (^[Y2 : a]: 53.56/7.30 (((((Y0 @ Y1) & ('#sk1' @ 53.56/7.30 Y1 @ Y2))) => 53.56/7.30 (Y0 @ Y2))))))))))) => 53.56/7.30 (Y0 @ '#sk44')))))) 53.56/7.30 | ('#form34'))), 53.56/7.30 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl46])). 53.56/7.30 thf(zip_derived_cl61, plain, 53.56/7.30 (![X2 : a > $o]: 53.56/7.30 ( (((((((!!) @ (^[Y0 : a]: 53.56/7.30 (((!!) @ (^[Y1 : a]: 53.56/7.30 (((((X2 @ Y0) & ('#sk2' @ Y0 @ Y1))) => 53.56/7.30 (X2 @ Y1))))))))) & 53.56/7.30 (((!!) @ (^[Y0 : a]: ((('#sk2' @ '#sk35' @ Y0) => (X2 @ Y0)))))))) => 53.56/7.30 (X2 @ '#sk44'))) 53.56/7.30 | ('#form34') 53.56/7.30 | (((!!) @ (^[Y0 : a > $o]: 53.56/7.30 (((((((!!) @ (^[Y1 : a]: 53.56/7.30 ((('#sk1' @ '#sk35' @ Y1) => (Y0 @ Y1)))))) & 53.56/7.30 (((!!) @ (^[Y1 : a]: 53.56/7.30 (((!!) @ (^[Y2 : a]: 53.56/7.30 (((((Y0 @ Y1) & ('#sk1' @ 53.56/7.30 Y1 @ Y2))) => 53.56/7.30 (Y0 @ Y2))))))))))) => 53.56/7.30 (Y0 @ '#sk44')))))))), 53.56/7.30 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl52])). 53.56/7.30 thf(zip_derived_cl79, plain, 53.56/7.30 ((~ ('#form89') 53.56/7.30 | (((!!) @ (^[Y0 : a > $o]: 53.56/7.30 (((((((!!) @ (^[Y1 : a]: 53.56/7.30 ((('#sk1' @ '#sk35' @ Y1) => (Y0 @ Y1)))))) & 53.56/7.30 (((!!) @ (^[Y1 : a]: 53.56/7.30 (((!!) @ (^[Y2 : a]: 53.56/7.30 (((((Y0 @ Y1) & ('#sk1' @ 53.56/7.30 Y1 @ Y2))) => 53.56/7.30 (Y0 @ Y2))))))))))) => 53.56/7.30 (Y0 @ '#sk44')))))))), 53.56/7.30 define([status(thm)])). 53.56/7.30 thf(zip_derived_cl80, plain, 53.56/7.30 (![X2 : a > $o]: 53.56/7.30 ( (((((((!!) @ (^[Y0 : a]: ((('#sk1' @ '#sk35' @ Y0) => (X2 @ Y0)))))) & 53.56/7.30 (((!!) @ (^[Y0 : a]: 53.56/7.30 (((!!) @ (^[Y1 : a]: 53.56/7.30 (((((X2 @ Y0) & ('#sk1' @ Y0 @ Y1))) => 53.56/7.30 (X2 @ Y1))))))))))) => 53.56/7.30 (X2 @ '#sk44'))) 53.56/7.30 | ~ ('#form89'))), 53.56/7.30 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl79])). 53.56/7.30 thf(zip_derived_cl93, plain, 53.56/7.30 (![X2 : a > $o]: 53.56/7.30 (~ (((((!!) @ (^[Y0 : a]: ((('#sk1' @ '#sk35' @ Y0) => (X2 @ Y0)))))) & 53.56/7.30 (((!!) @ (^[Y0 : a]: 53.56/7.30 (((!!) @ (^[Y1 : a]: 53.56/7.30 (((((X2 @ Y0) & ('#sk1' @ Y0 @ Y1))) => 53.56/7.30 (X2 @ Y1))))))))))) 53.56/7.30 | (X2 @ '#sk44') 53.56/7.30 | ~ ('#form89'))), 53.56/7.30 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl80])). 53.56/7.30 thf(zip_derived_cl101, plain, 53.56/7.30 (![X2 : a > $o]: 53.56/7.30 (~ (((!!) @ (^[Y0 : a]: ((('#sk1' @ '#sk35' @ Y0) => (X2 @ Y0)))))) 53.56/7.30 | ~ (((!!) @ (^[Y0 : a]: 53.56/7.30 (((!!) @ (^[Y1 : a]: 53.56/7.30 (((((X2 @ Y0) & ('#sk1' @ Y0 @ Y1))) => 53.56/7.30 (X2 @ Y1))))))))) 53.56/7.30 | ~ ('#form89') 53.56/7.30 | (X2 @ '#sk44'))), 53.56/7.30 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl93])). 53.56/7.30 thf(zip_derived_cl109, plain, 53.56/7.30 (![X2 : a > $o]: 53.56/7.30 (~ ((('#sk1' @ '#sk35' @ ('#sk140' @ X2)) => (X2 @ ('#sk140' @ X2)))) 53.56/7.30 | (X2 @ '#sk44') 53.56/7.30 | ~ ('#form89') 53.56/7.30 | ~ (((!!) @ (^[Y0 : a]: 53.56/7.30 (((!!) @ (^[Y1 : a]: 53.56/7.30 (((((X2 @ Y0) & ('#sk1' @ Y0 @ Y1))) => 53.56/7.30 (X2 @ Y1))))))))))), 53.56/7.30 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl101])). 53.56/7.30 thf(zip_derived_cl122, plain, 53.56/7.30 (![X2 : a > $o]: 53.56/7.30 (~ (X2 @ ('#sk140' @ X2)) 53.56/7.30 | ~ (((!!) @ (^[Y0 : a]: 53.56/7.30 (((!!) @ (^[Y1 : a]: 53.56/7.30 (((((X2 @ Y0) & ('#sk1' @ Y0 @ Y1))) => 53.56/7.30 (X2 @ Y1))))))))) 53.56/7.30 | ~ ('#form89') 53.56/7.30 | (X2 @ '#sk44'))), 53.56/7.30 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl109])). 53.56/7.30 thf(zip_derived_cl132, plain, 53.56/7.30 (![X2 : a > $o]: 53.56/7.30 (~ (((!!) @ (^[Y0 : a]: 53.56/7.30 (((((X2 @ ('#sk180' @ X2)) & ('#sk1' @ 53.56/7.30 ('#sk180' @ X2) @ Y0))) => 53.56/7.30 (X2 @ Y0)))))) 53.56/7.30 | (X2 @ '#sk44') 53.56/7.30 | ~ ('#form89') 53.56/7.30 | ~ (X2 @ ('#sk140' @ X2)))), 53.56/7.30 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl122])). 53.56/7.30 thf(zip_derived_cl146, plain, 53.56/7.30 (![X2 : a > $o]: 53.56/7.30 (~ (((((X2 @ ('#sk180' @ X2)) & ('#sk1' @ ('#sk180' @ X2) @ 53.56/7.30 ('#sk211' @ X2)))) => 53.56/7.30 (X2 @ ('#sk211' @ X2)))) 53.56/7.30 | ~ (X2 @ ('#sk140' @ X2)) 53.56/7.30 | ~ ('#form89') 53.56/7.30 | (X2 @ '#sk44'))), 53.56/7.30 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl132])). 53.56/7.30 thf(zip_derived_cl156, plain, 53.56/7.30 (![X2 : a > $o]: 53.56/7.30 ( (((X2 @ ('#sk180' @ X2)) & ('#sk1' @ ('#sk180' @ X2) @ 53.56/7.30 ('#sk211' @ X2)))) 53.56/7.30 | (X2 @ '#sk44') 53.56/7.30 | ~ ('#form89') 53.56/7.30 | ~ (X2 @ ('#sk140' @ X2)))), 53.56/7.30 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl146])). 53.56/7.30 thf(zip_derived_cl166, plain, 53.56/7.30 (![X2 : a > $o]: 53.56/7.30 ( (X2 @ ('#sk180' @ X2)) 53.56/7.30 | ~ (X2 @ ('#sk140' @ X2)) 53.56/7.30 | ~ ('#form89') 53.56/7.30 | (X2 @ '#sk44'))), 53.56/7.30 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl156])). 53.56/7.30 thf(zip_derived_cl77, plain, 53.56/7.30 (![X2 : a > $o]: 53.56/7.30 ( ((('#sk1' @ ('#sk50' @ X2) @ ('#sk62' @ X2)) | ('#sk2' @ 53.56/7.30 ('#sk50' @ X2) @ ('#sk62' @ X2)))) 53.56/7.30 | ('#form49' @ X2))), 53.56/7.30 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl59])). 53.56/7.30 thf(zip_derived_cl91, plain, 53.56/7.30 (![X2 : a > $o]: 53.56/7.30 ( ('#sk1' @ ('#sk50' @ X2) @ ('#sk62' @ X2)) 53.56/7.30 | ('#sk2' @ ('#sk50' @ X2) @ ('#sk62' @ X2)) 53.56/7.30 | ('#form49' @ X2))), 53.56/7.30 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl77])). 53.56/7.30 thf(zip_derived_cl60, plain, 53.56/7.30 (![X2 : a > $o]: (~ (X2 @ ('#sk62' @ X2)) | ('#form49' @ X2))), 53.56/7.30 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl50])). 53.56/7.30 thf(zip_derived_cl198, plain, 53.56/7.30 ((~ ('#sk5' @ ('#sk15' @ '#sk5')) 53.56/7.30 | ~ ('#form49' @ '#sk5') 53.56/7.30 | ~ ('#form34') 53.56/7.30 | ~ ('#form25'))), 53.56/7.30 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl196])). 53.56/7.30 thf(zip_derived_cl9, plain, 53.56/7.30 ( (((((!!) @ (^[Y0 : a]: 53.56/7.30 ((((('#sk1' @ '#sk3' @ Y0) | ('#sk2' @ '#sk3' @ Y0))) => 53.56/7.30 ('#sk5' @ Y0)))))) & 53.56/7.30 (((!!) @ (^[Y0 : a]: 53.56/7.30 (((!!) @ (^[Y1 : a]: 53.56/7.30 ((((((('#sk2' @ Y0 @ Y1) | ('#sk1' @ Y0 @ Y1))) & 53.56/7.30 ('#sk5' @ Y0))) => 53.56/7.30 ('#sk5' @ Y1)))))))))))), 53.56/7.30 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl7])). 53.56/7.30 thf(zip_derived_cl14, plain, 53.56/7.30 ( (((!!) @ (^[Y0 : a]: 53.56/7.30 (((!!) @ (^[Y1 : a]: 53.56/7.30 ((((((('#sk2' @ Y0 @ Y1) | ('#sk1' @ Y0 @ Y1))) & 53.56/7.30 ('#sk5' @ Y0))) => 53.56/7.30 ('#sk5' @ Y1)))))))))), 53.56/7.30 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl9])). 53.56/7.30 thf(zip_derived_cl17, plain, 53.56/7.30 (![X2 : a]: 53.56/7.30 (((!!) @ (^[Y0 : a]: 53.56/7.30 ((((((('#sk2' @ X2 @ Y0) | ('#sk1' @ X2 @ Y0))) & 53.56/7.30 ('#sk5' @ X2))) => 53.56/7.30 ('#sk5' @ Y0))))))), 53.56/7.30 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl14])). 53.56/7.30 thf(zip_derived_cl20, plain, 53.56/7.30 (![X2 : a, X4 : a]: 53.56/7.30 ((((((('#sk2' @ X2 @ X4) | ('#sk1' @ X2 @ X4))) & ('#sk5' @ X2))) => 53.56/7.30 ('#sk5' @ X4)))), 53.56/7.30 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl17])). 53.56/7.30 thf(zip_derived_cl24, plain, 53.56/7.30 (![X2 : a, X4 : a]: 53.56/7.30 (~ ((((('#sk2' @ X2 @ X4) | ('#sk1' @ X2 @ X4))) & ('#sk5' @ X2))) 53.56/7.30 | ('#sk5' @ X4))), 53.56/7.30 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl20])). 53.56/7.30 thf(zip_derived_cl27, plain, 53.56/7.30 (![X2 : a, X4 : a]: 53.56/7.30 (~ ((('#sk2' @ X2 @ X4) | ('#sk1' @ X2 @ X4))) 53.56/7.30 | ~ ('#sk5' @ X2) 53.56/7.30 | ('#sk5' @ X4))), 53.56/7.30 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl24])). 53.56/7.30 thf(zip_derived_cl33, plain, 53.56/7.30 (![X2 : a, X4 : a]: 53.56/7.30 (~ ('#sk1' @ X2 @ X4) | ('#sk5' @ X4) | ~ ('#sk5' @ X2))), 53.56/7.30 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl27])). 53.56/7.30 thf(zip_derived_cl32, plain, 53.56/7.30 (![X2 : a, X4 : a]: 53.56/7.30 (~ ('#sk2' @ X2 @ X4) | ('#sk5' @ X4) | ~ ('#sk5' @ X2))), 53.56/7.30 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl27])). 53.56/7.30 thf(zip_derived_cl13, plain, 53.56/7.30 ( (((!!) @ (^[Y0 : a]: 53.56/7.30 ((((('#sk1' @ '#sk3' @ Y0) | ('#sk2' @ '#sk3' @ Y0))) => 53.56/7.30 ('#sk5' @ Y0))))))), 53.56/7.30 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl9])). 53.56/7.30 thf(zip_derived_cl16, plain, 53.56/7.30 (![X2 : a]: 53.56/7.30 ((((('#sk1' @ '#sk3' @ X2) | ('#sk2' @ '#sk3' @ X2))) => ('#sk5' @ 53.56/7.30 X2)))), 53.56/7.30 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl13])). 53.56/7.30 thf(zip_derived_cl19, plain, 53.56/7.30 (![X2 : a]: 53.56/7.30 (~ ((('#sk1' @ '#sk3' @ X2) | ('#sk2' @ '#sk3' @ X2))) 53.56/7.30 | ('#sk5' @ X2))), 53.56/7.30 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl16])). 53.56/7.30 thf(zip_derived_cl22, plain, 53.56/7.30 (![X2 : a]: (~ ('#sk1' @ '#sk3' @ X2) | ('#sk5' @ X2))), 53.56/7.30 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl19])). 53.56/7.30 thf(zip_derived_cl23, plain, 53.56/7.30 (![X2 : a]: (~ ('#sk2' @ '#sk3' @ X2) | ('#sk5' @ X2))), 53.56/7.30 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl19])). 53.56/7.30 thf(zip_derived_cl167, plain, 53.56/7.30 (![X2 : a > $o]: 53.56/7.30 ( ('#sk1' @ ('#sk180' @ X2) @ ('#sk211' @ X2)) 53.56/7.30 | ~ (X2 @ ('#sk140' @ X2)) 53.56/7.30 | ~ ('#form89') 53.56/7.30 | (X2 @ '#sk44'))), 53.56/7.30 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl156])). 53.56/7.30 thf(zip_derived_cl47, plain, 53.56/7.30 ((~ (((!!) @ (^[Y0 : a > $o]: 53.56/7.30 (((((((!!) @ (^[Y1 : a]: 53.56/7.30 ((((('#sk1' @ '#sk35' @ Y1) | ('#sk2' @ 53.56/7.30 '#sk35' @ Y1))) => 53.56/7.30 (Y0 @ Y1)))))) & 53.56/7.30 (((!!) @ (^[Y1 : a]: 53.56/7.30 (((!!) @ (^[Y2 : a]: 53.56/7.30 (((((Y0 @ Y1) & 53.56/7.30 ((('#sk2' @ Y1 @ Y2) | 53.56/7.30 ('#sk1' @ Y1 @ Y2))))) => 53.56/7.30 (Y0 @ Y2))))))))))) => 53.56/7.30 (Y0 @ '#sk44')))))) 53.56/7.30 | ('#form34'))), 53.56/7.30 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl40])). 53.56/7.30 thf(zip_derived_cl54, plain, 53.56/7.30 ((~ (((((((!!) @ (^[Y0 : a]: 53.56/7.30 ((((('#sk1' @ '#sk35' @ Y0) | ('#sk2' @ '#sk35' @ Y0))) => 53.56/7.30 ('#sk69' @ Y0)))))) & 53.56/7.30 (((!!) @ (^[Y0 : a]: 53.56/7.30 (((!!) @ (^[Y1 : a]: 53.56/7.30 ((((('#sk69' @ Y0) & 53.56/7.30 ((('#sk2' @ Y0 @ Y1) | ('#sk1' @ 53.56/7.30 Y0 @ Y1))))) => 53.56/7.30 ('#sk69' @ Y1))))))))))) => 53.56/7.30 ('#sk69' @ '#sk44'))) 53.56/7.30 | ('#form34'))), 53.56/7.30 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl47])). 53.56/7.30 thf(zip_derived_cl66, plain, ((~ ('#sk69' @ '#sk44') | ('#form34'))), 53.56/7.30 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl54])). 53.56/7.30 thf(zip_derived_cl121, plain, 53.56/7.30 (![X2 : a > $o]: 53.56/7.30 ( ('#sk1' @ '#sk35' @ ('#sk140' @ X2)) 53.56/7.30 | ~ (((!!) @ (^[Y0 : a]: 53.56/7.30 (((!!) @ (^[Y1 : a]: 53.56/7.30 (((((X2 @ Y0) & ('#sk1' @ Y0 @ Y1))) => 53.56/7.30 (X2 @ Y1))))))))) 53.56/7.30 | ~ ('#form89') 53.56/7.30 | (X2 @ '#sk44'))), 53.56/7.30 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl109])). 53.56/7.30 thf(zip_derived_cl131, plain, 53.56/7.30 (![X2 : a > $o]: 53.56/7.30 (~ (((!!) @ (^[Y0 : a]: 53.56/7.30 (((((X2 @ ('#sk180' @ X2)) & ('#sk1' @ 53.56/7.30 ('#sk180' @ X2) @ Y0))) => 53.56/7.30 (X2 @ Y0)))))) 53.56/7.30 | (X2 @ '#sk44') 53.56/7.30 | ~ ('#form89') 53.56/7.30 | ('#sk1' @ '#sk35' @ ('#sk140' @ X2)))), 53.56/7.30 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl121])). 53.56/7.30 thf(zip_derived_cl145, plain, 53.56/7.30 (![X2 : a > $o]: 53.56/7.30 (~ (((((X2 @ ('#sk180' @ X2)) & ('#sk1' @ ('#sk180' @ X2) @ 53.56/7.30 ('#sk211' @ X2)))) => 53.56/7.30 (X2 @ ('#sk211' @ X2)))) 53.56/7.30 | ('#sk1' @ '#sk35' @ ('#sk140' @ X2)) 53.56/7.30 | ~ ('#form89') 53.56/7.30 | (X2 @ '#sk44'))), 53.56/7.30 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl131])). 53.56/7.30 thf(zip_derived_cl154, plain, 53.56/7.30 (![X2 : a > $o]: 53.56/7.30 ( (((X2 @ ('#sk180' @ X2)) & ('#sk1' @ ('#sk180' @ X2) @ 53.56/7.30 ('#sk211' @ X2)))) 53.56/7.30 | (X2 @ '#sk44') 53.56/7.30 | ~ ('#form89') 53.56/7.30 | ('#sk1' @ '#sk35' @ ('#sk140' @ X2)))), 53.56/7.30 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl145])). 53.56/7.30 thf(zip_derived_cl164, plain, 53.56/7.30 (![X2 : a > $o]: 53.56/7.30 ( (X2 @ ('#sk180' @ X2)) 53.56/7.30 | ('#sk1' @ '#sk35' @ ('#sk140' @ X2)) 53.56/7.30 | ~ ('#form89') 53.56/7.30 | (X2 @ '#sk44'))), 53.56/7.30 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl154])). 53.56/7.30 thf(zip_derived_cl155, plain, 53.56/7.30 (![X2 : a > $o]: 53.56/7.30 (~ (X2 @ ('#sk211' @ X2)) 53.56/7.30 | (X2 @ '#sk44') 53.56/7.30 | ~ ('#form89') 53.56/7.30 | ('#sk1' @ '#sk35' @ ('#sk140' @ X2)))), 53.56/7.30 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl145])). 53.56/7.30 thf(zip_derived_cl65, plain, 53.56/7.30 (( (((((!!) @ (^[Y0 : a]: 53.56/7.30 ((((('#sk1' @ '#sk35' @ Y0) | ('#sk2' @ '#sk35' @ Y0))) => 53.56/7.30 ('#sk69' @ Y0)))))) & 53.56/7.30 (((!!) @ (^[Y0 : a]: 53.56/7.30 (((!!) @ (^[Y1 : a]: 53.56/7.30 ((((('#sk69' @ Y0) & 53.56/7.30 ((('#sk2' @ Y0 @ Y1) | ('#sk1' @ Y0 @ 53.56/7.30 Y1))))) => 53.56/7.30 ('#sk69' @ Y1))))))))))) 53.56/7.30 | ('#form34'))), 53.56/7.30 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl54])). 53.56/7.30 thf(zip_derived_cl85, plain, 53.56/7.30 (( (((!!) @ (^[Y0 : a]: 53.56/7.30 ((((('#sk1' @ '#sk35' @ Y0) | ('#sk2' @ '#sk35' @ Y0))) => 53.56/7.30 ('#sk69' @ Y0)))))) 53.56/7.30 | ('#form34'))), 53.56/7.30 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl65])). 53.56/7.30 thf(zip_derived_cl94, plain, 53.56/7.30 (![X2 : a]: 53.56/7.30 ( ((((('#sk1' @ '#sk35' @ X2) | ('#sk2' @ '#sk35' @ X2))) => 53.56/7.30 ('#sk69' @ X2))) 53.56/7.30 | ('#form34'))), 53.56/7.30 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl85])). 53.56/7.30 thf(zip_derived_cl102, plain, 53.56/7.30 (![X2 : a]: 53.56/7.30 (~ ((('#sk1' @ '#sk35' @ X2) | ('#sk2' @ '#sk35' @ X2))) 53.56/7.30 | ('#sk69' @ X2) 53.56/7.30 | ('#form34'))), 53.56/7.30 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl94])). 53.56/7.30 thf(zip_derived_cl110, plain, 53.56/7.30 (![X2 : a]: (~ ('#sk1' @ '#sk35' @ X2) | ('#form34') | ('#sk69' @ X2))), 53.56/7.30 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl102])). 53.56/7.30 thf(zip_derived_cl157, plain, 53.56/7.30 (![X2 : a > $o]: 53.56/7.30 (~ (X2 @ ('#sk211' @ X2)) 53.56/7.30 | (X2 @ '#sk44') 53.56/7.30 | ~ ('#form89') 53.56/7.30 | ~ (X2 @ ('#sk140' @ X2)))), 53.56/7.30 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl146])). 53.56/7.30 thf(zip_derived_cl61, plain, 53.56/7.30 (![X2 : a > $o]: 53.56/7.30 ( (((((((!!) @ (^[Y0 : a]: 53.56/7.30 (((!!) @ (^[Y1 : a]: 53.56/7.30 (((((X2 @ Y0) & ('#sk2' @ Y0 @ Y1))) => 53.56/7.30 (X2 @ Y1))))))))) & 53.56/7.30 (((!!) @ (^[Y0 : a]: ((('#sk2' @ '#sk35' @ Y0) => (X2 @ Y0)))))))) => 53.56/7.30 (X2 @ '#sk44'))) 53.56/7.30 | ('#form34') 53.56/7.30 | (((!!) @ (^[Y0 : a > $o]: 53.56/7.30 (((((((!!) @ (^[Y1 : a]: 53.56/7.30 ((('#sk1' @ '#sk35' @ Y1) => (Y0 @ Y1)))))) & 53.56/7.30 (((!!) @ (^[Y1 : a]: 53.56/7.30 (((!!) @ (^[Y2 : a]: 53.56/7.30 (((((Y0 @ Y1) & ('#sk1' @ 53.56/7.30 Y1 @ Y2))) => 53.56/7.30 (Y0 @ Y2))))))))))) => 53.56/7.30 (Y0 @ '#sk44')))))))), 53.56/7.30 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl52])). 53.56/7.30 thf(zip_derived_cl63, plain, 53.56/7.30 (( (((((((!!) @ (^[Y0 : a]: 53.56/7.30 (((!!) @ (^[Y1 : a]: 53.56/7.30 ((((('#sk69' @ Y0) & ('#sk2' @ Y0 @ Y1))) => 53.56/7.30 ('#sk69' @ Y1))))))))) & 53.56/7.30 (((!!) @ (^[Y0 : a]: ((('#sk2' @ '#sk35' @ Y0) => ('#sk69' @ Y0)))))))) => 53.56/7.30 ('#sk69' @ '#sk44'))) 53.56/7.30 | ('#form34') 53.56/7.30 | (((!!) @ (^[Y0 : a > $o]: 53.56/7.30 (((((((!!) @ (^[Y1 : a]: 53.56/7.30 ((('#sk1' @ '#sk35' @ Y1) => (Y0 @ Y1)))))) & 53.56/7.30 (((!!) @ (^[Y1 : a]: 53.56/7.30 (((!!) @ (^[Y2 : a]: 53.56/7.30 (((((Y0 @ Y1) & ('#sk1' @ 53.56/7.30 Y1 @ Y2))) => 53.56/7.30 (Y0 @ Y2))))))))))) => 53.56/7.30 (Y0 @ '#sk44')))))))), 53.56/7.30 inference('triggered_bool_instantiation', [status(thm)], 53.56/7.30 [zip_derived_cl61])). 53.56/7.30 thf(zip_derived_cl79, plain, 53.56/7.30 ((~ ('#form89') 53.56/7.30 | (((!!) @ (^[Y0 : a > $o]: 53.56/7.30 (((((((!!) @ (^[Y1 : a]: 53.56/7.30 ((('#sk1' @ '#sk35' @ Y1) => (Y0 @ Y1)))))) & 53.56/7.30 (((!!) @ (^[Y1 : a]: 53.56/7.30 (((!!) @ (^[Y2 : a]: 53.56/7.30 (((((Y0 @ Y1) & ('#sk1' @ 53.56/7.30 Y1 @ Y2))) => 53.56/7.30 (Y0 @ Y2))))))))))) => 53.56/7.30 (Y0 @ '#sk44')))))))), 53.56/7.30 define([status(thm)])). 53.56/7.30 thf(zip_derived_cl335, plain, 53.56/7.30 (( ('#form89') 53.56/7.30 | ('#form34') 53.56/7.30 | (((((((!!) @ (^[Y0 : a]: 53.56/7.30 (((!!) @ (^[Y1 : a]: 53.56/7.30 ((((('#sk69' @ Y0) & ('#sk2' @ Y0 @ Y1))) => 53.56/7.30 ('#sk69' @ Y1))))))))) & 53.56/7.30 (((!!) @ (^[Y0 : a]: 53.56/7.30 ((('#sk2' @ '#sk35' @ Y0) => ('#sk69' @ Y0)))))))) => 53.56/7.30 ('#sk69' @ '#sk44'))))), 53.56/7.30 inference('renaming', [status(thm)], [zip_derived_cl63, zip_derived_cl79])). 53.56/7.30 thf(zip_derived_cl336, plain, 53.56/7.30 ((~ (((((!!) @ (^[Y0 : a]: 53.56/7.30 (((!!) @ (^[Y1 : a]: 53.56/7.30 ((((('#sk69' @ Y0) & ('#sk2' @ Y0 @ Y1))) => 53.56/7.30 ('#sk69' @ Y1))))))))) & 53.56/7.30 (((!!) @ (^[Y0 : a]: ((('#sk2' @ '#sk35' @ Y0) => ('#sk69' @ Y0)))))))) 53.56/7.30 | ('#sk69' @ '#sk44') 53.56/7.30 | ('#form34') 53.56/7.30 | ('#form89'))), 53.56/7.30 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl335])). 53.56/7.30 thf(zip_derived_cl66, plain, ((~ ('#sk69' @ '#sk44') | ('#form34'))), 53.56/7.30 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl54])). 53.56/7.30 thf(zip_derived_cl337, plain, 53.56/7.30 (( ('#form89') 53.56/7.30 | ('#form34') 53.56/7.30 | ~ (((((!!) @ (^[Y0 : a]: 53.56/7.30 (((!!) @ (^[Y1 : a]: 53.56/7.30 ((((('#sk69' @ Y0) & ('#sk2' @ Y0 @ Y1))) => 53.56/7.30 ('#sk69' @ Y1))))))))) & 53.56/7.30 (((!!) @ (^[Y0 : a]: 53.56/7.30 ((('#sk2' @ '#sk35' @ Y0) => ('#sk69' @ Y0)))))))))), 53.56/7.30 inference('clc', [status(thm)], [zip_derived_cl336, zip_derived_cl66])). 53.56/7.30 thf(zip_derived_cl338, plain, 53.56/7.30 ((~ (((!!) @ (^[Y0 : a]: 53.56/7.30 (((!!) @ (^[Y1 : a]: 53.56/7.30 ((((('#sk69' @ Y0) & ('#sk2' @ Y0 @ Y1))) => 53.56/7.30 ('#sk69' @ Y1))))))))) 53.56/7.30 | ~ (((!!) @ (^[Y0 : a]: ((('#sk2' @ '#sk35' @ Y0) => ('#sk69' @ Y0)))))) 53.56/7.30 | ('#form34') 53.56/7.30 | ('#form89'))), 53.56/7.30 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl337])). 53.56/7.30 thf(zip_derived_cl61, plain, 53.56/7.30 (![X2 : a > $o]: 53.56/7.30 ( (((((((!!) @ (^[Y0 : a]: 53.56/7.30 (((!!) @ (^[Y1 : a]: 53.56/7.30 (((((X2 @ Y0) & ('#sk2' @ Y0 @ Y1))) => 53.56/7.30 (X2 @ Y1))))))))) & 53.56/7.30 (((!!) @ (^[Y0 : a]: ((('#sk2' @ '#sk35' @ Y0) => (X2 @ Y0)))))))) => 53.56/7.30 (X2 @ '#sk44'))) 53.56/7.30 | ('#form34') 53.56/7.30 | (((!!) @ (^[Y0 : a > $o]: 53.56/7.30 (((((((!!) @ (^[Y1 : a]: 53.56/7.30 ((('#sk1' @ '#sk35' @ Y1) => (Y0 @ Y1)))))) & 53.56/7.30 (((!!) @ (^[Y1 : a]: 53.56/7.30 (((!!) @ (^[Y2 : a]: 53.56/7.30 (((((Y0 @ Y1) & ('#sk1' @ 53.56/7.30 Y1 @ Y2))) => 53.56/7.30 (Y0 @ Y2))))))))))) => 53.56/7.30 (Y0 @ '#sk44')))))))), 53.56/7.30 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl52])). 53.56/7.30 thf(zip_derived_cl79, plain, 53.56/7.30 ((~ ('#form89') 53.56/7.30 | (((!!) @ (^[Y0 : a > $o]: 53.56/7.30 (((((((!!) @ (^[Y1 : a]: 53.56/7.30 ((('#sk1' @ '#sk35' @ Y1) => (Y0 @ Y1)))))) & 53.56/7.30 (((!!) @ (^[Y1 : a]: 53.56/7.30 (((!!) @ (^[Y2 : a]: 53.56/7.30 (((((Y0 @ Y1) & ('#sk1' @ 53.56/7.30 Y1 @ Y2))) => 53.56/7.30 (Y0 @ Y2))))))))))) => 53.56/7.30 (Y0 @ '#sk44')))))))), 53.56/7.30 define([status(thm)])). 53.56/7.30 thf(zip_derived_cl84, plain, 53.56/7.30 (![X2 : a > $o]: 53.56/7.30 ( ('#form89') 53.56/7.30 | ('#form34') 53.56/7.30 | (((((((!!) @ (^[Y0 : a]: 53.56/7.30 (((!!) @ (^[Y1 : a]: 53.56/7.30 (((((X2 @ Y0) & ('#sk2' @ Y0 @ Y1))) => 53.56/7.30 (X2 @ Y1))))))))) & 53.56/7.30 (((!!) @ (^[Y0 : a]: ((('#sk2' @ '#sk35' @ Y0) => (X2 @ Y0)))))))) => 53.56/7.30 (X2 @ '#sk44'))))), 53.56/7.30 inference('renaming', [status(thm)], [zip_derived_cl61, zip_derived_cl79])). 53.56/7.30 thf(zip_derived_cl92, plain, 53.56/7.30 (![X2 : a > $o]: 53.56/7.30 (~ (((((!!) @ (^[Y0 : a]: 53.56/7.30 (((!!) @ (^[Y1 : a]: 53.56/7.30 (((((X2 @ Y0) & ('#sk2' @ Y0 @ Y1))) => 53.56/7.30 (X2 @ Y1))))))))) & 53.56/7.30 (((!!) @ (^[Y0 : a]: ((('#sk2' @ '#sk35' @ Y0) => (X2 @ Y0)))))))) 53.56/7.30 | (X2 @ '#sk44') 53.56/7.30 | ('#form34') 53.56/7.30 | ('#form89'))), 53.56/7.30 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl84])). 53.56/7.30 thf(zip_derived_cl100, plain, 53.56/7.30 (![X2 : a > $o]: 53.56/7.30 (~ (((!!) @ (^[Y0 : a]: 53.56/7.30 (((!!) @ (^[Y1 : a]: 53.56/7.30 (((((X2 @ Y0) & ('#sk2' @ Y0 @ Y1))) => 53.56/7.30 (X2 @ Y1))))))))) 53.56/7.30 | ~ (((!!) @ (^[Y0 : a]: ((('#sk2' @ '#sk35' @ Y0) => (X2 @ Y0)))))) 53.56/7.30 | ('#form89') 53.56/7.30 | ('#form34') 53.56/7.30 | (X2 @ '#sk44'))), 53.56/7.30 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl92])). 53.56/7.30 thf(zip_derived_cl108, plain, 53.56/7.30 (![X2 : a > $o]: 53.56/7.30 (~ (((!!) @ (^[Y0 : a]: 53.56/7.30 (((((X2 @ ('#sk136' @ X2)) & ('#sk2' @ 53.56/7.30 ('#sk136' @ X2) @ Y0))) => 53.56/7.30 (X2 @ Y0)))))) 53.56/7.30 | (X2 @ '#sk44') 53.56/7.30 | ('#form34') 53.56/7.30 | ('#form89') 53.56/7.30 | ~ (((!!) @ (^[Y0 : a]: ((('#sk2' @ '#sk35' @ Y0) => (X2 @ Y0)))))))), 53.56/7.30 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl100])). 53.56/7.30 thf(zip_derived_cl120, plain, 53.56/7.30 (![X2 : a > $o]: 53.56/7.30 (~ (((((X2 @ ('#sk136' @ X2)) & ('#sk2' @ ('#sk136' @ X2) @ 53.56/7.30 ('#sk155' @ X2)))) => 53.56/7.30 (X2 @ ('#sk155' @ X2)))) 53.56/7.30 | ~ (((!!) @ (^[Y0 : a]: ((('#sk2' @ '#sk35' @ Y0) => (X2 @ Y0)))))) 53.56/7.30 | ('#form89') 53.56/7.30 | ('#form34') 53.56/7.30 | (X2 @ '#sk44'))), 53.56/7.30 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl108])). 53.56/7.30 thf(zip_derived_cl130, plain, 53.56/7.30 (![X2 : a > $o]: 53.56/7.30 (~ (X2 @ ('#sk155' @ X2)) 53.56/7.30 | (X2 @ '#sk44') 53.56/7.30 | ('#form34') 53.56/7.30 | ('#form89') 53.56/7.30 | ~ (((!!) @ (^[Y0 : a]: ((('#sk2' @ '#sk35' @ Y0) => (X2 @ Y0)))))))), 53.56/7.30 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl120])). 53.56/7.30 thf(zip_derived_cl142, plain, 53.56/7.30 (![X2 : a > $o]: 53.56/7.30 ( ('#form205' @ X2) 53.56/7.30 | ~ (((!!) @ (^[Y0 : a]: ((('#sk2' @ '#sk35' @ Y0) => (X2 @ Y0)))))))), 53.56/7.30 define([status(thm)])). 53.56/7.30 thf(zip_derived_cl339, plain, 53.56/7.30 ((~ ('#form205' @ '#sk69') 53.56/7.30 | ('#form89') 53.56/7.30 | ('#form34') 53.56/7.30 | ~ (((!!) @ (^[Y0 : a]: 53.56/7.30 (((!!) @ (^[Y1 : a]: 53.56/7.30 ((((('#sk69' @ Y0) & ('#sk2' @ Y0 @ Y1))) => 53.56/7.30 ('#sk69' @ Y1))))))))))), 53.56/7.30 inference('renaming', [status(thm)], 53.56/7.30 [zip_derived_cl338, zip_derived_cl142])). 53.56/7.30 thf(zip_derived_cl340, plain, 53.56/7.30 ((~ (((!!) @ (^[Y0 : a]: 53.56/7.30 ((((('#sk69' @ ('#sk136' @ '#sk69')) & ('#sk2' @ 53.56/7.30 ('#sk136' @ '#sk69') @ Y0))) => 53.56/7.30 ('#sk69' @ Y0)))))) 53.56/7.30 | ('#form34') 53.56/7.30 | ('#form89') 53.56/7.30 | ~ ('#form205' @ '#sk69'))), 53.56/7.30 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl339])). 53.56/7.30 thf(zip_derived_cl341, plain, 53.56/7.30 ((~ ((((('#sk69' @ ('#sk136' @ '#sk69')) & ('#sk2' @ 53.56/7.30 ('#sk136' @ '#sk69') @ ('#sk155' @ '#sk69')))) => 53.56/7.30 ('#sk69' @ ('#sk155' @ '#sk69')))) 53.56/7.30 | ~ ('#form205' @ '#sk69') 53.56/7.30 | ('#form89') 53.56/7.30 | ('#form34'))), 53.56/7.30 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl340])). 53.56/7.30 thf(zip_derived_cl342, plain, 53.56/7.30 (( ((('#sk69' @ ('#sk136' @ '#sk69')) & ('#sk2' @ ('#sk136' @ '#sk69') @ 53.56/7.30 ('#sk155' @ '#sk69')))) 53.56/7.30 | ('#form34') 53.56/7.30 | ('#form89') 53.56/7.30 | ~ ('#form205' @ '#sk69'))), 53.56/7.30 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl341])). 53.56/7.30 thf(zip_derived_cl344, plain, 53.56/7.30 (( ('#sk69' @ ('#sk136' @ '#sk69')) 53.56/7.30 | ~ ('#form205' @ '#sk69') 53.56/7.30 | ('#form89') 53.56/7.30 | ('#form34'))), 53.56/7.30 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl342])). 53.56/7.30 thf(zip_derived_cl165, plain, 53.56/7.30 (![X2 : a > $o]: 53.56/7.30 ( ('#sk1' @ ('#sk180' @ X2) @ ('#sk211' @ X2)) 53.56/7.30 | ('#sk1' @ '#sk35' @ ('#sk140' @ X2)) 53.56/7.30 | ~ ('#form89') 53.56/7.30 | (X2 @ '#sk44'))), 53.56/7.30 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl154])). 53.56/7.30 thf(zip_derived_cl86, plain, 53.56/7.30 (( (((!!) @ (^[Y0 : a]: 53.56/7.30 (((!!) @ (^[Y1 : a]: 53.56/7.30 ((((('#sk69' @ Y0) & 53.56/7.30 ((('#sk2' @ Y0 @ Y1) | ('#sk1' @ Y0 @ Y1))))) => 53.56/7.30 ('#sk69' @ Y1))))))))) 53.56/7.30 | ('#form34'))), 53.56/7.30 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl65])). 53.56/7.30 thf(zip_derived_cl95, plain, 53.56/7.30 (![X2 : a]: 53.56/7.30 ( (((!!) @ (^[Y0 : a]: 53.56/7.30 ((((('#sk69' @ X2) & 53.56/7.30 ((('#sk2' @ X2 @ Y0) | ('#sk1' @ X2 @ Y0))))) => 53.56/7.30 ('#sk69' @ Y0)))))) 53.56/7.30 | ('#form34'))), 53.56/7.30 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl86])). 53.56/7.30 thf(zip_derived_cl103, plain, 53.56/7.30 (![X2 : a, X4 : a]: 53.56/7.30 ( ((((('#sk69' @ X2) & ((('#sk2' @ X2 @ X4) | ('#sk1' @ X2 @ X4))))) => 53.56/7.30 ('#sk69' @ X4))) 53.56/7.30 | ('#form34'))), 53.56/7.30 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl95])). 53.56/7.30 thf(zip_derived_cl112, plain, 53.56/7.30 (![X2 : a, X4 : a]: 53.56/7.30 (~ ((('#sk69' @ X2) & ((('#sk2' @ X2 @ X4) | ('#sk1' @ X2 @ X4))))) 53.56/7.30 | ('#sk69' @ X4) 53.56/7.30 | ('#form34'))), 53.56/7.30 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl103])). 53.56/7.30 thf(zip_derived_cl123, plain, 53.56/7.30 (![X2 : a, X4 : a]: 53.56/7.30 (~ ('#sk69' @ X2) 53.56/7.30 | ~ ((('#sk2' @ X2 @ X4) | ('#sk1' @ X2 @ X4))) 53.56/7.30 | ('#form34') 53.56/7.30 | ('#sk69' @ X4))), 53.56/7.30 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl112])). 53.56/7.30 thf(zip_derived_cl134, plain, 53.56/7.30 (![X2 : a, X4 : a]: 53.56/7.30 (~ ('#sk1' @ X2 @ X4) 53.56/7.30 | ('#sk69' @ X4) 53.56/7.30 | ('#form34') 53.56/7.30 | ~ ('#sk69' @ X2))), 53.56/7.30 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl123])). 53.56/7.30 thf(zip_derived_cl343, plain, 53.56/7.30 ((~ ('#sk69' @ ('#sk155' @ '#sk69')) 53.56/7.30 | ('#form34') 53.56/7.30 | ('#form89') 53.56/7.30 | ~ ('#form205' @ '#sk69'))), 53.56/7.30 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl341])). 53.56/7.30 thf(zip_derived_cl345, plain, 53.56/7.30 (( ('#sk2' @ ('#sk136' @ '#sk69') @ ('#sk155' @ '#sk69')) 53.56/7.30 | ~ ('#form205' @ '#sk69') 53.56/7.30 | ('#form89') 53.56/7.30 | ('#form34'))), 53.56/7.30 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl342])). 53.56/7.30 thf(zip_derived_cl142, plain, 53.56/7.30 (![X2 : a > $o]: 53.56/7.30 ( ('#form205' @ X2) 53.56/7.30 | ~ (((!!) @ (^[Y0 : a]: ((('#sk2' @ '#sk35' @ Y0) => (X2 @ Y0)))))))), 53.56/7.30 define([status(thm)])). 53.56/7.30 thf(zip_derived_cl143, plain, 53.56/7.30 (![X2 : a > $o]: 53.56/7.30 (~ ((('#sk2' @ '#sk35' @ ('#sk206' @ X2)) => (X2 @ ('#sk206' @ X2)))) 53.56/7.30 | ('#form205' @ X2))), 53.56/7.30 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl142])). 53.56/7.30 thf(zip_derived_cl152, plain, 53.56/7.30 (![X2 : a > $o]: 53.56/7.30 ( ('#sk2' @ '#sk35' @ ('#sk206' @ X2)) | ('#form205' @ X2))), 53.56/7.30 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl143])). 53.56/7.30 thf(zip_derived_cl133, plain, 53.56/7.30 (![X2 : a, X4 : a]: 53.56/7.30 (~ ('#sk2' @ X2 @ X4) 53.56/7.30 | ('#sk69' @ X4) 53.56/7.30 | ('#form34') 53.56/7.30 | ~ ('#sk69' @ X2))), 53.56/7.30 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl123])). 53.56/7.30 thf(zip_derived_cl111, plain, 53.56/7.30 (![X2 : a]: (~ ('#sk2' @ '#sk35' @ X2) | ('#form34') | ('#sk69' @ X2))), 53.56/7.30 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl102])). 53.56/7.30 thf(zip_derived_cl153, plain, 53.56/7.30 (![X2 : a > $o]: (~ (X2 @ ('#sk206' @ X2)) | ('#form205' @ X2))), 53.56/7.30 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl143])). 53.56/7.30 thf(zip_derived_cl7741, plain, ($false), 53.56/7.30 inference('eprover', [status(thm)], 53.56/7.30 [zip_derived_cl267, zip_derived_cl269, zip_derived_cl275, 53.56/7.30 zip_derived_cl274, zip_derived_cl272, zip_derived_cl270, 53.56/7.30 zip_derived_cl125, zip_derived_cl139, zip_derived_cl118, 53.56/7.30 zip_derived_cl135, zip_derived_cl117, zip_derived_cl138, 53.56/7.30 zip_derived_cl78, zip_derived_cl199, zip_derived_cl166, 53.56/7.30 zip_derived_cl91, zip_derived_cl60, zip_derived_cl198, 53.56/7.30 zip_derived_cl33, zip_derived_cl32, zip_derived_cl22, 53.56/7.30 zip_derived_cl23, zip_derived_cl167, zip_derived_cl66, 53.56/7.30 zip_derived_cl164, zip_derived_cl155, zip_derived_cl110, 53.56/7.30 zip_derived_cl157, zip_derived_cl344, zip_derived_cl165, 53.56/7.30 zip_derived_cl134, zip_derived_cl343, zip_derived_cl345, 53.56/7.30 zip_derived_cl152, zip_derived_cl133, zip_derived_cl111, 53.56/7.30 zip_derived_cl153])). 53.56/7.30 53.56/7.30 % SZS output end Refutation 53.56/7.30 53.56/7.30 53.56/7.30 % Terminating... 53.56/7.30 % /export/starexec/sandbox2/solver/bin/lams/30_b.l.sh running for 90s 54.56/7.50 % Runner terminated. 54.60/7.53 % Zipperpin 1.5 exiting 54.60/7.54 EOF