0.03/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.03/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.u6RUUvgIYA true 0.13/0.34 % Computer : n025.cluster.edu 0.13/0.34 % Model : x86_64 x86_64 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.13/0.34 % Memory : 8042.1875MB 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64 0.13/0.34 % CPULimit : 960 0.13/0.34 % WCLimit : 120 0.13/0.34 % DateTime : Tue Aug 9 02:57:11 EDT 2022 0.13/0.34 % CPUTime : 0.13/0.34 % Running portfolio for 960 s 0.13/0.34 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p 0.13/0.35 % Number of cores: 8 0.13/0.35 % Python version: Python 3.6.8 0.13/0.35 % Running in HO mode 0.54/0.67 % Total configuration time : 828 0.54/0.67 % Estimated wc time : 1656 0.54/0.67 % Estimated cpu time (8 cpus) : 207.0 0.54/0.69 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s 0.54/0.74 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s 0.55/0.75 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s 0.55/0.76 % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s 0.55/0.76 % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s 0.55/0.76 % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s 0.56/0.78 % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s 0.56/0.79 % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s 46.85/7.25 % Solved by lams/20_acsne_simpl.sh. 46.85/7.25 % running E: timeout 13 /export/starexec/sandbox2/solver/bin/lams/eprover-ho --pos-ext=all --neg-ext=all /export/starexec/sandbox2/tmp/tmp.u6RUUvgIYA/e_inputcf1574 --cpu-limit=11 --auto -s -p 46.85/7.25 % done 711 iterations in 6.314s 46.85/7.25 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p' 46.85/7.25 % SZS output start Refutation 46.85/7.25 thf(a_type, type, a: $tType). 46.85/7.25 thf('#sk45_type', type, '#sk45': a). 46.85/7.25 thf('#sk155_type', type, '#sk155': (a > $o) > a). 46.85/7.25 thf('#sk15_type', type, '#sk15': (a > $o) > a). 46.85/7.25 thf('#sk5_type', type, '#sk5': a > $o). 46.85/7.25 thf('#sk211_type', type, '#sk211': (a > $o) > a). 46.85/7.25 thf('#sk206_type', type, '#sk206': (a > $o) > a). 46.85/7.25 thf('#sk4_type', type, '#sk4': a). 46.85/7.25 thf('#sk36_type', type, '#sk36': a). 46.85/7.25 thf('#sk3_type', type, '#sk3': a). 46.85/7.25 thf('#sk50_type', type, '#sk50': (a > $o) > a). 46.85/7.25 thf('#sk62_type', type, '#sk62': (a > $o) > a). 46.85/7.25 thf('#sk140_type', type, '#sk140': (a > $o) > a). 46.85/7.25 thf('#sk136_type', type, '#sk136': (a > $o) > a). 46.85/7.25 thf('#sk35_type', type, '#sk35': a). 46.85/7.25 thf('#sk145_type', type, '#sk145': (a > $o) > a). 46.85/7.25 thf('#sk132_type', type, '#sk132': (a > $o) > a). 46.85/7.25 thf('#sk180_type', type, '#sk180': (a > $o) > a). 46.85/7.25 thf('#form25_type', type, '#form25': $o). 46.85/7.25 thf('#sk171_type', type, '#sk171': (a > $o) > a). 46.85/7.25 thf('#form89_type', type, '#form89': $o). 46.85/7.25 thf('#form34_type', type, '#form34': $o). 46.85/7.25 thf('#sk44_type', type, '#sk44': a). 46.85/7.25 thf('#sk2_type', type, '#sk2': a > a > $o). 46.85/7.25 thf('#sk26_type', type, '#sk26': a). 46.85/7.25 thf('#sk69_type', type, '#sk69': a > $o). 46.85/7.25 thf('#form49_type', type, '#form49': (a > $o) > $o). 46.85/7.25 thf('#sk1_type', type, '#sk1': a > a > $o). 46.85/7.25 thf('#sk70_type', type, '#sk70': a > $o). 46.85/7.25 thf('#form205_type', type, '#form205': (a > $o) > $o). 46.85/7.25 thf('#sk198_type', type, '#sk198': (a > $o) > a). 46.85/7.25 thf(cTHM251H_pme, conjecture, 46.85/7.25 (![R:( a > a > $o ),S:( a > a > $o ),Xx:a,Xy:a]: 46.85/7.25 ( ( ![Xq:( a > $o )]: 46.85/7.25 ( ( ( ![Xw:a]: 46.85/7.25 ( ( ( R @ Xx @ Xw ) | ( S @ Xx @ Xw ) ) => ( Xq @ Xw ) ) ) & 46.85/7.25 ( ![Xu:a,Xv:a]: 46.85/7.25 ( ( ( ( S @ Xu @ Xv ) | ( R @ Xu @ Xv ) ) & ( Xq @ Xu ) ) => 46.85/7.25 ( Xq @ Xv ) ) ) ) => 46.85/7.25 ( Xq @ Xy ) ) ) | 46.85/7.25 ( ( ~( ![Xq:( a > $o )]: 46.85/7.25 ( ( ( ![Xw:a]: 46.85/7.25 ( ( ( R @ Xx @ Xw ) | ( S @ Xx @ Xw ) ) => ( Xq @ Xw ) ) ) & 46.85/7.25 ( ![Xu:a,Xv:a]: 46.85/7.25 ( ( ( ( R @ Xu @ Xv ) | ( S @ Xu @ Xv ) ) & ( Xq @ Xu ) ) => 46.85/7.25 ( Xq @ Xv ) ) ) ) => 46.85/7.25 ( Xq @ Xy ) ) ) ) & 46.85/7.25 ( ![Xx0:a,Xy0:a]: 46.85/7.25 ( ( ( ![Xq:( a > $o )]: 46.85/7.25 ( ( ( ![Xu:a,Xv:a]: 46.85/7.25 ( ( ( Xq @ Xu ) & ( S @ Xu @ Xv ) ) => ( Xq @ Xv ) ) ) & 46.85/7.25 ( ![Xw:a]: ( ( S @ Xx0 @ Xw ) => ( Xq @ Xw ) ) ) ) => 46.85/7.25 ( Xq @ Xy0 ) ) ) | 46.85/7.25 ( ![Xq:( a > $o )]: 46.85/7.25 ( ( ( ![Xw:a]: ( ( R @ Xx0 @ Xw ) => ( Xq @ Xw ) ) ) & 46.85/7.25 ( ![Xu:a,Xv:a]: 46.85/7.25 ( ( ( Xq @ Xu ) & ( R @ Xu @ Xv ) ) => ( Xq @ Xv ) ) ) ) => 46.85/7.25 ( Xq @ Xy0 ) ) ) ) => 46.85/7.25 ( ![Xq:( a > $o )]: 46.85/7.25 ( ( ( ![Xw:a]: 46.85/7.25 ( ( ( R @ Xx0 @ Xw ) | ( S @ Xx0 @ Xw ) ) => ( Xq @ Xw ) ) ) & 46.85/7.25 ( ![Xu:a,Xv:a]: 46.85/7.25 ( ( ( Xq @ Xu ) & ( ( S @ Xu @ Xv ) | ( R @ Xu @ Xv ) ) ) => 46.85/7.25 ( Xq @ Xv ) ) ) ) => 46.85/7.25 ( Xq @ Xy0 ) ) ) ) ) & 46.85/7.25 ( ![Xx0:a,Xy0:a,Xz:a]: 46.85/7.25 ( ( ( ![Xq:( a > $o )]: 46.85/7.25 ( ( ( ![Xw:a]: 46.85/7.25 ( ( ( R @ Xx0 @ Xw ) | ( S @ Xx0 @ Xw ) ) => ( Xq @ Xw ) ) ) & 46.85/7.25 ( ![Xu:a,Xv:a]: 46.85/7.25 ( ( ( ( R @ Xu @ Xv ) | ( S @ Xu @ Xv ) ) & ( Xq @ Xu ) ) => 46.85/7.25 ( Xq @ Xv ) ) ) ) => 46.85/7.25 ( Xq @ Xy0 ) ) ) & 46.85/7.25 ( ![Xq:( a > $o )]: 46.85/7.25 ( ( ( ![Xw:a]: 46.85/7.25 ( ( ( R @ Xy0 @ Xw ) | ( S @ Xy0 @ Xw ) ) => ( Xq @ Xw ) ) ) & 46.85/7.25 ( ![Xu:a,Xv:a]: 46.85/7.25 ( ( ( Xq @ Xu ) & ( ( S @ Xu @ Xv ) | ( R @ Xu @ Xv ) ) ) => 46.85/7.25 ( Xq @ Xv ) ) ) ) => 46.85/7.25 ( Xq @ Xz ) ) ) ) => 46.85/7.25 ( ![Xq:( a > $o )]: 46.85/7.25 ( ( ( ![Xw:a]: 46.85/7.25 ( ( ( S @ Xx0 @ Xw ) | ( R @ Xx0 @ Xw ) ) => ( Xq @ Xw ) ) ) & 46.85/7.25 ( ![Xu:a,Xv:a]: 46.85/7.25 ( ( ( Xq @ Xu ) & ( ( S @ Xu @ Xv ) | ( R @ Xu @ Xv ) ) ) => 46.85/7.25 ( Xq @ Xv ) ) ) ) => 46.85/7.25 ( Xq @ Xz ) ) ) ) ) ) ))). 46.85/7.25 thf(zf_stmt_0, negated_conjecture, 46.85/7.25 (~( ![R:( a > a > $o ),S:( a > a > $o ),Xx:a,Xy:a]: 46.85/7.25 ( ( ![Xq:( a > $o )]: 46.85/7.25 ( ( ( ![Xw:a]: 46.85/7.25 ( ( ( R @ Xx @ Xw ) | ( S @ Xx @ Xw ) ) => ( Xq @ Xw ) ) ) & 46.85/7.25 ( ![Xu:a,Xv:a]: 46.85/7.25 ( ( ( ( S @ Xu @ Xv ) | ( R @ Xu @ Xv ) ) & ( Xq @ Xu ) ) => 46.85/7.25 ( Xq @ Xv ) ) ) ) => 46.85/7.25 ( Xq @ Xy ) ) ) | 46.85/7.25 ( ( ~( ![Xq:( a > $o )]: 46.85/7.25 ( ( ( ![Xw:a]: 46.85/7.25 ( ( ( R @ Xx @ Xw ) | ( S @ Xx @ Xw ) ) => ( Xq @ Xw ) ) ) & 46.85/7.25 ( ![Xu:a,Xv:a]: 46.85/7.25 ( ( ( ( R @ Xu @ Xv ) | ( S @ Xu @ Xv ) ) & ( Xq @ Xu ) ) => 46.85/7.25 ( Xq @ Xv ) ) ) ) => 46.85/7.25 ( Xq @ Xy ) ) ) ) & 46.85/7.25 ( ![Xx0:a,Xy0:a]: 46.85/7.25 ( ( ( ![Xq:( a > $o )]: 46.85/7.25 ( ( ( ![Xu:a,Xv:a]: 46.85/7.25 ( ( ( Xq @ Xu ) & ( S @ Xu @ Xv ) ) => ( Xq @ Xv ) ) ) & 46.85/7.25 ( ![Xw:a]: ( ( S @ Xx0 @ Xw ) => ( Xq @ Xw ) ) ) ) => 46.85/7.25 ( Xq @ Xy0 ) ) ) | 46.85/7.25 ( ![Xq:( a > $o )]: 46.85/7.25 ( ( ( ![Xw:a]: ( ( R @ Xx0 @ Xw ) => ( Xq @ Xw ) ) ) & 46.85/7.25 ( ![Xu:a,Xv:a]: 46.85/7.25 ( ( ( Xq @ Xu ) & ( R @ Xu @ Xv ) ) => ( Xq @ Xv ) ) ) ) => 46.85/7.25 ( Xq @ Xy0 ) ) ) ) => 46.85/7.25 ( ![Xq:( a > $o )]: 46.85/7.25 ( ( ( ![Xw:a]: 46.85/7.25 ( ( ( R @ Xx0 @ Xw ) | ( S @ Xx0 @ Xw ) ) => 46.85/7.25 ( Xq @ Xw ) ) ) & 46.85/7.25 ( ![Xu:a,Xv:a]: 46.85/7.25 ( ( ( Xq @ Xu ) & ( ( S @ Xu @ Xv ) | ( R @ Xu @ Xv ) ) ) => 46.85/7.25 ( Xq @ Xv ) ) ) ) => 46.85/7.25 ( Xq @ Xy0 ) ) ) ) ) & 46.85/7.25 ( ![Xx0:a,Xy0:a,Xz:a]: 46.85/7.25 ( ( ( ![Xq:( a > $o )]: 46.85/7.25 ( ( ( ![Xw:a]: 46.85/7.25 ( ( ( R @ Xx0 @ Xw ) | ( S @ Xx0 @ Xw ) ) => 46.85/7.25 ( Xq @ Xw ) ) ) & 46.85/7.25 ( ![Xu:a,Xv:a]: 46.85/7.25 ( ( ( ( R @ Xu @ Xv ) | ( S @ Xu @ Xv ) ) & 46.85/7.25 ( Xq @ Xu ) ) => 46.85/7.25 ( Xq @ Xv ) ) ) ) => 46.85/7.25 ( Xq @ Xy0 ) ) ) & 46.85/7.25 ( ![Xq:( a > $o )]: 46.85/7.25 ( ( ( ![Xw:a]: 46.85/7.25 ( ( ( R @ Xy0 @ Xw ) | ( S @ Xy0 @ Xw ) ) => 46.85/7.25 ( Xq @ Xw ) ) ) & 46.85/7.25 ( ![Xu:a,Xv:a]: 46.85/7.25 ( ( ( Xq @ Xu ) & 46.85/7.25 ( ( S @ Xu @ Xv ) | ( R @ Xu @ Xv ) ) ) => 46.85/7.25 ( Xq @ Xv ) ) ) ) => 46.85/7.25 ( Xq @ Xz ) ) ) ) => 46.85/7.25 ( ![Xq:( a > $o )]: 46.85/7.25 ( ( ( ![Xw:a]: 46.85/7.25 ( ( ( S @ Xx0 @ Xw ) | ( R @ Xx0 @ Xw ) ) => 46.85/7.25 ( Xq @ Xw ) ) ) & 46.85/7.25 ( ![Xu:a,Xv:a]: 46.85/7.25 ( ( ( Xq @ Xu ) & ( ( S @ Xu @ Xv ) | ( R @ Xu @ Xv ) ) ) => 46.85/7.25 ( Xq @ Xv ) ) ) ) => 46.85/7.25 ( Xq @ Xz ) ) ) ) ) ) ) )), 46.85/7.25 inference('cnf.neg', [status(esa)], [cTHM251H_pme])). 46.85/7.25 thf(zip_derived_cl0, plain, 46.85/7.25 (~ (((!!) @ (^[Y0 : a > a > $o]: 46.85/7.25 (((!!) @ (^[Y1 : a > a > $o]: 46.85/7.25 (((!!) @ (^[Y2 : a]: 46.85/7.25 (((!!) @ (^[Y3 : a]: 46.85/7.25 (((((!!) @ (^[Y4 : a > $o]: 46.85/7.25 (( 46.85/7.25 (( 46.85/7.25 (( 46.85/7.25 (!!) @ ( 46.85/7.25 ^[Y5 : a]: 46.85/7.25 (( 46.85/7.25 (( 46.85/7.25 (Y0 @ 46.85/7.25 Y2 @ 46.85/7.25 Y5) | 46.85/7.25 (Y1 @ 46.85/7.25 Y2 @ Y5))) => 46.85/7.25 (Y4 @ Y5)))))) & 46.85/7.25 (( 46.85/7.25 (!!) @ ( 46.85/7.25 ^[Y5 : a]: 46.85/7.25 (( 46.85/7.25 (!!) @ ( 46.85/7.25 ^[Y6 : a]: 46.85/7.25 (( 46.85/7.25 (( 46.85/7.25 (( 46.85/7.25 (Y1 @ 46.85/7.25 Y5 @ 46.85/7.25 Y6) | 46.85/7.25 (Y0 @ 46.85/7.25 Y5 @ Y6))) & 46.85/7.25 (Y4 @ Y5))) => 46.85/7.25 (Y4 @ Y6))))))))))) => 46.85/7.25 (Y4 @ Y3)))))) | 46.85/7.25 (((((~) @ (( 46.85/7.25 (!!) @ ( 46.85/7.25 ^[Y4 : a > $o]: 46.85/7.25 (( 46.85/7.25 (( 46.85/7.25 (( 46.85/7.25 (!!) @ ( 46.85/7.25 ^[Y5 : a]: 46.85/7.25 (( 46.85/7.25 (( 46.85/7.25 (Y0 @ 46.85/7.25 Y2 @ 46.85/7.25 Y5) | 46.85/7.25 (Y1 @ 46.85/7.25 Y2 @ Y5))) => 46.85/7.25 (Y4 @ Y5)))))) & 46.85/7.25 (( 46.85/7.25 (!!) @ ( 46.85/7.25 ^[Y5 : a]: 46.85/7.25 (( 46.85/7.25 (!!) @ ( 46.85/7.25 ^[Y6 : a]: 46.85/7.25 (( 46.85/7.25 (( 46.85/7.25 (( 46.85/7.25 (Y0 @ 46.85/7.25 Y5 @ 46.85/7.25 Y6) | 46.85/7.25 (Y1 @ 46.85/7.25 Y5 @ Y6))) & 46.85/7.25 (Y4 @ Y5))) => 46.85/7.25 (Y4 @ Y6))))))))))) => 46.85/7.25 (Y4 @ Y3)))))))) & 46.85/7.25 (((!!) @ ( 46.85/7.25 ^[Y4 : a]: 46.85/7.25 (((!!) @ ( 46.85/7.25 ^[Y5 : a]: 46.85/7.25 (( 46.85/7.25 (( 46.85/7.25 (( 46.85/7.25 (!!) @ ( 46.85/7.25 ^[Y6 : a > $o]: 46.85/7.25 (( 46.85/7.25 (( 46.85/7.25 (( 46.85/7.25 (!!) @ ( 46.85/7.25 ^[Y7 : a]: 46.85/7.25 (( 46.85/7.25 (!!) @ ( 46.85/7.25 ^[Y8 : a]: 46.85/7.25 (( 46.85/7.25 (( 46.85/7.25 (Y6 @ 46.85/7.25 Y7) & 46.85/7.25 (Y1 @ 46.85/7.25 Y7 @ Y8))) => 46.85/7.25 (Y6 @ Y8))))))))) & 46.85/7.25 (( 46.85/7.25 (!!) @ ( 46.85/7.25 ^[Y7 : a]: 46.85/7.25 (( 46.85/7.25 (Y1 @ 46.85/7.25 Y4 @ 46.85/7.25 Y7) => 46.85/7.25 (Y6 @ Y7)))))))) => 46.85/7.25 (Y6 @ Y5)))))) | 46.85/7.25 (( 46.85/7.25 (!!) @ ( 46.85/7.25 ^[Y6 : a > $o]: 46.85/7.25 (( 46.85/7.25 (( 46.85/7.25 (( 46.85/7.25 (!!) @ ( 46.85/7.25 ^[Y7 : a]: 46.85/7.25 (( 46.85/7.25 (Y0 @ 46.85/7.25 Y4 @ 46.85/7.25 Y7) => 46.85/7.25 (Y6 @ Y7)))))) & 46.85/7.25 (( 46.85/7.25 (!!) @ ( 46.85/7.25 ^[Y7 : a]: 46.85/7.25 (( 46.85/7.25 (!!) @ ( 46.85/7.25 ^[Y8 : a]: 46.85/7.25 (( 46.85/7.25 (( 46.85/7.25 (Y6 @ 46.85/7.25 Y7) & 46.85/7.25 (Y0 @ 46.85/7.25 Y7 @ Y8))) => 46.85/7.25 (Y6 @ Y8))))))))))) => 46.85/7.25 (Y6 @ Y5)))))))) => 46.85/7.25 (( 46.85/7.25 (!!) @ ( 46.85/7.25 ^[Y6 : a > $o]: 46.85/7.25 (( 46.85/7.25 (( 46.85/7.25 (( 46.85/7.25 (!!) @ ( 46.85/7.25 ^[Y7 : a]: 46.85/7.25 (( 46.85/7.25 (( 46.85/7.25 (Y0 @ 46.85/7.25 Y4 @ 46.85/7.25 Y7) | 46.85/7.25 (Y1 @ 46.85/7.25 Y4 @ Y7))) => 46.85/7.25 (Y6 @ Y7)))))) & 46.85/7.25 (( 46.85/7.25 (!!) @ ( 46.85/7.25 ^[Y7 : a]: 46.85/7.25 (( 46.85/7.25 (!!) @ ( 46.85/7.25 ^[Y8 : a]: 46.85/7.25 (( 46.85/7.25 (( 46.85/7.25 (Y6 @ 46.85/7.25 Y7) & 46.85/7.25 (( 46.85/7.25 (Y1 @ 46.85/7.25 Y7 @ 46.85/7.25 Y8) | 46.85/7.25 (Y0 @ 46.85/7.25 Y7 @ Y8))))) => 46.85/7.25 (Y6 @ Y8))))))))))) => 46.85/7.25 (Y6 @ Y5)))))))))))))) & 46.85/7.25 (((!!) @ ( 46.85/7.25 ^[Y4 : a]: 46.85/7.25 (((!!) @ ( 46.85/7.25 ^[Y5 : a]: 46.85/7.25 (( 46.85/7.25 (!!) @ ( 46.85/7.25 ^[Y6 : a]: 46.85/7.25 (( 46.85/7.25 (( 46.85/7.25 (( 46.85/7.25 (!!) @ ( 46.85/7.25 ^[Y7 : a > $o]: 46.85/7.25 (( 46.85/7.25 (( 46.85/7.25 (( 46.85/7.25 (!!) @ ( 46.85/7.25 ^[Y8 : a]: 46.85/7.25 (( 46.85/7.25 (( 46.85/7.25 (Y0 @ 46.85/7.25 Y4 @ 46.85/7.25 Y8) | 46.85/7.25 (Y1 @ 46.85/7.25 Y4 @ Y8))) => 46.85/7.25 (Y7 @ Y8)))))) & 46.85/7.25 (( 46.85/7.25 (!!) @ ( 46.85/7.25 ^[Y8 : a]: 46.85/7.25 (( 46.85/7.25 (!!) @ ( 46.85/7.25 ^[Y9 : a]: 46.85/7.25 (( 46.85/7.25 (( 46.85/7.25 (( 46.85/7.25 (Y0 @ 46.85/7.25 Y8 @ 46.85/7.25 Y9) | 46.85/7.25 (Y1 @ 46.85/7.25 Y8 @ Y9))) & 46.85/7.25 (Y7 @ Y8))) => 46.85/7.25 (Y7 @ Y9))))))))))) => 46.85/7.25 (Y7 @ Y5)))))) & 46.85/7.25 (( 46.85/7.25 (!!) @ ( 46.85/7.25 ^[Y7 : a > $o]: 46.85/7.25 (( 46.85/7.25 (( 46.85/7.25 (( 46.85/7.25 (!!) @ ( 46.85/7.25 ^[Y8 : a]: 46.85/7.25 (( 46.85/7.25 (( 46.85/7.25 (Y0 @ 46.85/7.25 Y5 @ 46.85/7.25 Y8) | 46.85/7.25 (Y1 @ 46.85/7.25 Y5 @ Y8))) => 46.85/7.25 (Y7 @ Y8)))))) & 46.85/7.25 (( 46.85/7.25 (!!) @ ( 46.85/7.25 ^[Y8 : a]: 46.85/7.25 (( 46.85/7.25 (!!) @ ( 46.85/7.25 ^[Y9 : a]: 46.85/7.25 (( 46.85/7.25 (( 46.85/7.25 (Y7 @ 46.85/7.25 Y8) & 46.85/7.25 (( 46.85/7.25 (Y1 @ 46.85/7.25 Y8 @ 46.85/7.25 Y9) | 46.85/7.25 (Y0 @ 46.85/7.25 Y8 @ Y9))))) => 46.85/7.25 (Y7 @ Y9))))))))))) => 46.85/7.25 (Y7 @ Y6)))))))) => 46.85/7.25 (( 46.85/7.25 (!!) @ ( 46.85/7.25 ^[Y7 : a > $o]: 46.85/7.25 (( 46.85/7.25 (( 46.85/7.25 (( 46.85/7.25 (!!) @ ( 46.85/7.25 ^[Y8 : a]: 46.85/7.25 (( 46.85/7.25 (( 46.85/7.25 (Y1 @ 46.85/7.25 Y4 @ 46.85/7.25 Y8) | 46.85/7.25 (Y0 @ 46.85/7.25 Y4 @ Y8))) => 46.85/7.25 (Y7 @ Y8)))))) & 46.85/7.25 (( 46.85/7.25 (!!) @ ( 46.85/7.25 ^[Y8 : a]: 46.85/7.25 (( 46.85/7.25 (!!) @ ( 46.85/7.25 ^[Y9 : a]: 46.85/7.25 (( 46.85/7.25 (( 46.85/7.25 (Y7 @ 46.85/7.25 Y8) & 46.85/7.25 (( 46.85/7.25 (Y1 @ 46.85/7.25 Y8 @ 46.85/7.25 Y9) | 46.85/7.25 (Y0 @ 46.85/7.25 Y8 @ Y9))))) => 46.85/7.25 (Y7 @ Y9))))))))))) => 46.85/7.25 (Y7 @ Y6)))))))))))))))))))))))))))))))))), 46.85/7.25 inference('cnf', [status(esa)], [zf_stmt_0])). 46.85/7.25 thf(zip_derived_cl1, plain, 46.85/7.25 (~ (((!!) @ (^[Y0 : a > a > $o]: 46.85/7.25 (((!!) @ (^[Y1 : a]: 46.85/7.25 (((!!) @ (^[Y2 : a]: 46.85/7.25 (((((!!) @ (^[Y3 : a > $o]: 46.85/7.25 (((((((!!) @ ( 46.85/7.25 ^[Y4 : a]: 46.85/7.25 (((( 46.85/7.25 ('#sk1' @ 46.85/7.25 Y1 @ Y4) | 46.85/7.25 (Y0 @ 46.85/7.25 Y1 @ Y4))) => 46.85/7.25 (Y3 @ Y4)))))) & 46.85/7.25 (((!!) @ ( 46.85/7.25 ^[Y4 : a]: 46.85/7.25 (((!!) @ ( 46.85/7.25 ^[Y5 : a]: 46.85/7.25 (( 46.85/7.25 (( 46.85/7.25 (( 46.85/7.25 (Y0 @ 46.85/7.25 Y4 @ 46.85/7.25 Y5) | 46.85/7.25 ('#sk1' @ 46.85/7.25 Y4 @ Y5))) & 46.85/7.25 (Y3 @ Y4))) => 46.85/7.25 (Y3 @ Y5))))))))))) => 46.85/7.25 (Y3 @ Y2)))))) | 46.85/7.25 (((((~) @ (((!!) @ (^[Y3 : a > $o]: 46.85/7.25 (( 46.85/7.25 (( 46.85/7.25 (( 46.85/7.25 (!!) @ ( 46.85/7.25 ^[Y4 : a]: 46.85/7.25 (( 46.85/7.25 (( 46.85/7.25 ('#sk1' @ 46.85/7.25 Y1 @ 46.85/7.25 Y4) | 46.85/7.25 (Y0 @ 46.85/7.25 Y1 @ Y4))) => 46.85/7.25 (Y3 @ Y4)))))) & 46.85/7.25 (( 46.85/7.25 (!!) @ ( 46.85/7.25 ^[Y4 : a]: 46.85/7.25 (( 46.85/7.25 (!!) @ ( 46.85/7.25 ^[Y5 : a]: 46.85/7.25 (( 46.85/7.25 (( 46.85/7.25 (( 46.85/7.25 ('#sk1' @ 46.85/7.25 Y4 @ 46.85/7.25 Y5) | 46.85/7.25 (Y0 @ 46.85/7.25 Y4 @ Y5))) & 46.85/7.25 (Y3 @ Y4))) => 46.85/7.25 (Y3 @ Y5))))))))))) => 46.85/7.25 (Y3 @ Y2)))))))) & 46.85/7.25 (((!!) @ (^[Y3 : a]: 46.85/7.25 (((!!) @ ( 46.85/7.25 ^[Y4 : a]: 46.85/7.25 (((((( 46.85/7.25 (!!) @ ( 46.85/7.25 ^[Y5 : a > $o]: 46.85/7.25 (( 46.85/7.25 (( 46.85/7.25 (( 46.85/7.25 (!!) @ ( 46.85/7.25 ^[Y6 : a]: 46.85/7.25 (( 46.85/7.25 (!!) @ ( 46.85/7.25 ^[Y7 : a]: 46.85/7.25 (( 46.85/7.25 (( 46.85/7.25 (Y5 @ 46.85/7.25 Y6) & 46.85/7.25 (Y0 @ 46.85/7.25 Y6 @ Y7))) => 46.85/7.25 (Y5 @ Y7))))))))) & 46.85/7.25 (( 46.85/7.25 (!!) @ ( 46.85/7.25 ^[Y6 : a]: 46.85/7.25 (( 46.85/7.25 (Y0 @ 46.85/7.25 Y3 @ 46.85/7.25 Y6) => 46.85/7.25 (Y5 @ Y6)))))))) => 46.85/7.25 (Y5 @ Y4)))))) | 46.85/7.25 (( 46.85/7.25 (!!) @ ( 46.85/7.25 ^[Y5 : a > $o]: 46.85/7.25 (( 46.85/7.25 (( 46.85/7.25 (( 46.85/7.25 (!!) @ ( 46.85/7.25 ^[Y6 : a]: 46.85/7.25 (( 46.85/7.25 ('#sk1' @ 46.85/7.25 Y3 @ 46.85/7.25 Y6) => 46.85/7.25 (Y5 @ Y6)))))) & 46.85/7.25 (( 46.85/7.25 (!!) @ ( 46.85/7.25 ^[Y6 : a]: 46.85/7.25 (( 46.85/7.25 (!!) @ ( 46.85/7.25 ^[Y7 : a]: 46.85/7.25 (( 46.85/7.25 (( 46.85/7.25 (Y5 @ 46.85/7.25 Y6) & 46.85/7.25 ('#sk1' @ 46.85/7.25 Y6 @ Y7))) => 46.85/7.25 (Y5 @ Y7))))))))))) => 46.85/7.25 (Y5 @ Y4)))))))) => 46.85/7.25 (((!!) @ ( 46.85/7.25 ^[Y5 : a > $o]: 46.85/7.25 (( 46.85/7.25 (( 46.85/7.25 (( 46.85/7.25 (!!) @ ( 46.85/7.25 ^[Y6 : a]: 46.85/7.25 (( 46.85/7.25 (( 46.85/7.25 ('#sk1' @ 46.85/7.25 Y3 @ 46.85/7.25 Y6) | 46.85/7.25 (Y0 @ 46.85/7.25 Y3 @ Y6))) => 46.85/7.25 (Y5 @ Y6)))))) & 46.85/7.25 (( 46.85/7.25 (!!) @ ( 46.85/7.25 ^[Y6 : a]: 46.85/7.25 (( 46.85/7.25 (!!) @ ( 46.85/7.25 ^[Y7 : a]: 46.85/7.25 (( 46.85/7.25 (( 46.85/7.25 (Y5 @ 46.85/7.25 Y6) & 46.85/7.25 (( 46.85/7.25 (Y0 @ 46.85/7.25 Y6 @ 46.85/7.25 Y7) | 46.85/7.25 ('#sk1' @ 46.85/7.25 Y6 @ Y7))))) => 46.85/7.25 (Y5 @ Y7))))))))))) => 46.85/7.25 (Y5 @ Y4)))))))))))))) & 46.85/7.25 (((!!) @ (^[Y3 : a]: 46.85/7.25 (((!!) @ ( 46.85/7.25 ^[Y4 : a]: 46.85/7.25 (((!!) @ ( 46.85/7.25 ^[Y5 : a]: 46.85/7.25 (( 46.85/7.25 (( 46.85/7.25 (( 46.85/7.25 (!!) @ ( 46.85/7.25 ^[Y6 : a > $o]: 46.85/7.25 (( 46.85/7.25 (( 46.85/7.25 (( 46.85/7.25 (!!) @ ( 46.85/7.25 ^[Y7 : a]: 46.85/7.25 (( 46.85/7.25 (( 46.85/7.25 ('#sk1' @ 46.85/7.25 Y3 @ 46.85/7.25 Y7) | 46.85/7.25 (Y0 @ 46.85/7.25 Y3 @ Y7))) => 46.85/7.25 (Y6 @ Y7)))))) & 46.85/7.25 (( 46.85/7.25 (!!) @ ( 46.85/7.25 ^[Y7 : a]: 46.85/7.25 (( 46.85/7.25 (!!) @ ( 46.85/7.25 ^[Y8 : a]: 46.85/7.25 (( 46.85/7.25 (( 46.85/7.25 (( 46.85/7.25 ('#sk1' @ 46.85/7.25 Y7 @ 46.85/7.25 Y8) | 46.85/7.25 (Y0 @ 46.85/7.25 Y7 @ Y8))) & 46.85/7.25 (Y6 @ Y7))) => 46.85/7.25 (Y6 @ Y8))))))))))) => 46.85/7.25 (Y6 @ Y4)))))) & 46.85/7.25 (( 46.85/7.25 (!!) @ ( 46.85/7.25 ^[Y6 : a > $o]: 46.85/7.25 (( 46.85/7.25 (( 46.85/7.25 (( 46.85/7.25 (!!) @ ( 46.85/7.25 ^[Y7 : a]: 46.85/7.25 (( 46.85/7.25 (( 46.85/7.25 ('#sk1' @ 46.85/7.25 Y4 @ 46.85/7.25 Y7) | 46.85/7.25 (Y0 @ 46.85/7.25 Y4 @ Y7))) => 46.85/7.25 (Y6 @ Y7)))))) & 46.85/7.25 (( 46.85/7.25 (!!) @ ( 46.85/7.25 ^[Y7 : a]: 46.85/7.25 (( 46.85/7.25 (!!) @ ( 46.85/7.25 ^[Y8 : a]: 46.85/7.25 (( 46.85/7.25 (( 46.85/7.25 (Y6 @ 46.85/7.25 Y7) & 46.85/7.25 (( 46.85/7.25 (Y0 @ 46.85/7.25 Y7 @ 46.85/7.25 Y8) | 46.85/7.25 ('#sk1' @ 46.85/7.25 Y7 @ Y8))))) => 46.85/7.25 (Y6 @ Y8))))))))))) => 46.85/7.25 (Y6 @ Y5)))))))) => 46.85/7.25 (( 46.85/7.25 (!!) @ ( 46.85/7.25 ^[Y6 : a > $o]: 46.85/7.25 (( 46.85/7.25 (( 46.85/7.25 (( 46.85/7.25 (!!) @ ( 46.85/7.25 ^[Y7 : a]: 46.85/7.25 (( 46.85/7.25 (( 46.85/7.25 (Y0 @ 46.85/7.25 Y3 @ 46.85/7.25 Y7) | 46.85/7.25 ('#sk1' @ 46.85/7.25 Y3 @ Y7))) => 46.85/7.25 (Y6 @ Y7)))))) & 46.85/7.25 (( 46.85/7.25 (!!) @ ( 46.85/7.25 ^[Y7 : a]: 46.85/7.25 (( 46.85/7.25 (!!) @ ( 46.85/7.25 ^[Y8 : a]: 46.85/7.25 (( 46.85/7.25 (( 46.85/7.25 (Y6 @ 46.85/7.25 Y7) & 46.85/7.25 (( 46.85/7.25 (Y0 @ 46.85/7.25 Y7 @ 46.85/7.25 Y8) | 46.85/7.25 ('#sk1' @ 46.85/7.25 Y7 @ Y8))))) => 46.85/7.25 (Y6 @ Y8))))))))))) => 46.85/7.25 (Y6 @ Y5))))))))))))))))))))))))))))))), 46.85/7.25 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl0])). 46.85/7.25 thf(zip_derived_cl2, plain, 46.85/7.25 (~ (((!!) @ (^[Y0 : a]: 46.85/7.25 (((!!) @ (^[Y1 : a]: 46.85/7.25 (((((!!) @ (^[Y2 : a > $o]: 46.85/7.25 (((((((!!) @ (^[Y3 : a]: 46.85/7.25 ((((('#sk1' @ 46.85/7.25 Y0 @ Y3) | 46.85/7.25 ('#sk2' @ 46.85/7.25 Y0 @ Y3))) => 46.85/7.25 (Y2 @ Y3)))))) & 46.85/7.25 (((!!) @ (^[Y3 : a]: 46.85/7.25 (((!!) @ ( 46.85/7.25 ^[Y4 : a]: 46.85/7.25 (((( 46.85/7.25 (( 46.85/7.25 ('#sk2' @ 46.85/7.25 Y3 @ Y4) | 46.85/7.25 ('#sk1' @ 46.85/7.25 Y3 @ Y4))) & 46.85/7.25 (Y2 @ Y3))) => 46.85/7.25 (Y2 @ Y4))))))))))) => 46.85/7.25 (Y2 @ Y1)))))) | 46.85/7.25 (((((~) @ (((!!) @ (^[Y2 : a > $o]: 46.85/7.25 (((((((!!) @ ( 46.85/7.25 ^[Y3 : a]: 46.85/7.25 ((((('#sk1' @ 46.85/7.25 Y0 @ Y3) | 46.85/7.25 ('#sk2' @ 46.85/7.25 Y0 @ Y3))) => 46.85/7.25 (Y2 @ Y3)))))) & 46.85/7.25 (((!!) @ ( 46.85/7.25 ^[Y3 : a]: 46.85/7.25 (((!!) @ ( 46.85/7.25 ^[Y4 : a]: 46.85/7.25 (( 46.85/7.25 (( 46.85/7.25 (( 46.85/7.25 ('#sk1' @ 46.85/7.25 Y3 @ 46.85/7.25 Y4) | 46.85/7.25 ('#sk2' @ 46.85/7.25 Y3 @ Y4))) & 46.85/7.25 (Y2 @ Y3))) => 46.85/7.25 (Y2 @ Y4))))))))))) => 46.85/7.25 (Y2 @ Y1)))))))) & 46.85/7.25 (((!!) @ (^[Y2 : a]: 46.85/7.25 (((!!) @ (^[Y3 : a]: 46.85/7.25 (((((((!!) @ ( 46.85/7.25 ^[Y4 : a > $o]: 46.85/7.25 (( 46.85/7.25 (( 46.85/7.25 (( 46.85/7.25 (!!) @ ( 46.85/7.25 ^[Y5 : a]: 46.85/7.25 (( 46.85/7.25 (!!) @ ( 46.85/7.25 ^[Y6 : a]: 46.85/7.25 (( 46.85/7.25 (( 46.85/7.25 (Y4 @ 46.85/7.25 Y5) & 46.85/7.25 ('#sk2' @ 46.85/7.25 Y5 @ Y6))) => 46.85/7.25 (Y4 @ Y6))))))))) & 46.85/7.25 (( 46.85/7.25 (!!) @ ( 46.85/7.25 ^[Y5 : a]: 46.85/7.25 (( 46.85/7.25 ('#sk2' @ 46.85/7.25 Y2 @ 46.85/7.25 Y5) => 46.85/7.25 (Y4 @ Y5)))))))) => 46.85/7.25 (Y4 @ Y3)))))) | 46.85/7.25 (((!!) @ ( 46.85/7.25 ^[Y4 : a > $o]: 46.85/7.25 (( 46.85/7.25 (( 46.85/7.25 (( 46.85/7.25 (!!) @ ( 46.85/7.25 ^[Y5 : a]: 46.85/7.25 (( 46.85/7.25 ('#sk1' @ 46.85/7.25 Y2 @ 46.85/7.25 Y5) => 46.85/7.25 (Y4 @ Y5)))))) & 46.85/7.25 (( 46.85/7.25 (!!) @ ( 46.85/7.25 ^[Y5 : a]: 46.85/7.25 (( 46.85/7.25 (!!) @ ( 46.85/7.25 ^[Y6 : a]: 46.85/7.25 (( 46.85/7.25 (( 46.85/7.25 (Y4 @ 46.85/7.25 Y5) & 46.85/7.25 ('#sk1' @ 46.85/7.25 Y5 @ Y6))) => 46.85/7.25 (Y4 @ Y6))))))))))) => 46.85/7.25 (Y4 @ Y3)))))))) => 46.85/7.25 (((!!) @ ( 46.85/7.25 ^[Y4 : a > $o]: 46.85/7.25 (((( 46.85/7.25 (( 46.85/7.25 (!!) @ ( 46.85/7.25 ^[Y5 : a]: 46.85/7.25 (( 46.85/7.25 (( 46.85/7.25 ('#sk1' @ 46.85/7.25 Y2 @ 46.85/7.25 Y5) | 46.85/7.25 ('#sk2' @ 46.85/7.25 Y2 @ Y5))) => 46.85/7.25 (Y4 @ Y5)))))) & 46.85/7.25 (( 46.85/7.25 (!!) @ ( 46.85/7.25 ^[Y5 : a]: 46.85/7.25 (( 46.85/7.25 (!!) @ ( 46.85/7.25 ^[Y6 : a]: 46.85/7.25 (( 46.85/7.25 (( 46.85/7.25 (Y4 @ 46.85/7.25 Y5) & 46.85/7.25 (( 46.85/7.25 ('#sk2' @ 46.85/7.25 Y5 @ 46.85/7.25 Y6) | 46.85/7.25 ('#sk1' @ 46.85/7.25 Y5 @ Y6))))) => 46.85/7.25 (Y4 @ Y6))))))))))) => 46.85/7.25 (Y4 @ Y3)))))))))))))) & 46.85/7.25 (((!!) @ (^[Y2 : a]: 46.85/7.25 (((!!) @ (^[Y3 : a]: 46.85/7.25 (((!!) @ ( 46.85/7.25 ^[Y4 : a]: 46.85/7.25 (((((( 46.85/7.25 (!!) @ ( 46.85/7.25 ^[Y5 : a > $o]: 46.85/7.25 (( 46.85/7.25 (( 46.85/7.25 (( 46.85/7.25 (!!) @ ( 46.85/7.25 ^[Y6 : a]: 46.85/7.25 (( 46.85/7.25 (( 46.85/7.25 ('#sk1' @ 46.85/7.25 Y2 @ 46.85/7.25 Y6) | 46.85/7.25 ('#sk2' @ 46.85/7.25 Y2 @ Y6))) => 46.85/7.25 (Y5 @ Y6)))))) & 46.85/7.25 (( 46.85/7.25 (!!) @ ( 46.85/7.25 ^[Y6 : a]: 46.85/7.25 (( 46.85/7.25 (!!) @ ( 46.85/7.25 ^[Y7 : a]: 46.85/7.25 (( 46.85/7.25 (( 46.85/7.25 (( 46.85/7.25 ('#sk1' @ 46.85/7.25 Y6 @ 46.85/7.25 Y7) | 46.85/7.25 ('#sk2' @ 46.85/7.25 Y6 @ Y7))) & 46.85/7.25 (Y5 @ Y6))) => 46.85/7.25 (Y5 @ Y7))))))))))) => 46.85/7.25 (Y5 @ Y3)))))) & 46.85/7.25 (( 46.85/7.25 (!!) @ ( 46.85/7.25 ^[Y5 : a > $o]: 46.85/7.25 (( 46.85/7.25 (( 46.85/7.25 (( 46.85/7.25 (!!) @ ( 46.85/7.25 ^[Y6 : a]: 46.85/7.25 (( 46.85/7.25 (( 46.85/7.25 ('#sk1' @ 46.85/7.25 Y3 @ 46.85/7.25 Y6) | 46.85/7.25 ('#sk2' @ 46.85/7.25 Y3 @ Y6))) => 46.85/7.25 (Y5 @ Y6)))))) & 46.85/7.25 (( 46.85/7.25 (!!) @ ( 46.85/7.25 ^[Y6 : a]: 46.85/7.25 (( 46.85/7.25 (!!) @ ( 46.85/7.25 ^[Y7 : a]: 46.85/7.25 (( 46.85/7.25 (( 46.85/7.25 (Y5 @ 46.85/7.25 Y6) & 46.85/7.25 (( 46.85/7.25 ('#sk2' @ 46.85/7.25 Y6 @ 46.85/7.25 Y7) | 46.85/7.25 ('#sk1' @ 46.85/7.25 Y6 @ Y7))))) => 46.85/7.25 (Y5 @ Y7))))))))))) => 46.85/7.25 (Y5 @ Y4)))))))) => 46.85/7.25 (((!!) @ ( 46.85/7.25 ^[Y5 : a > $o]: 46.85/7.25 (( 46.85/7.25 (( 46.85/7.25 (( 46.85/7.25 (!!) @ ( 46.85/7.25 ^[Y6 : a]: 46.85/7.25 (( 46.85/7.25 (( 46.85/7.25 ('#sk2' @ 46.85/7.25 Y2 @ 46.85/7.25 Y6) | 46.85/7.25 ('#sk1' @ 46.85/7.25 Y2 @ Y6))) => 46.85/7.25 (Y5 @ Y6)))))) & 46.85/7.25 (( 46.85/7.25 (!!) @ ( 46.85/7.25 ^[Y6 : a]: 46.85/7.25 (( 46.85/7.25 (!!) @ ( 46.85/7.25 ^[Y7 : a]: 46.85/7.25 (( 46.85/7.25 (( 46.85/7.25 (Y5 @ 46.85/7.25 Y6) & 46.85/7.25 (( 46.85/7.25 ('#sk2' @ 46.85/7.25 Y6 @ 46.85/7.25 Y7) | 46.85/7.25 ('#sk1' @ 46.85/7.25 Y6 @ Y7))))) => 46.85/7.25 (Y5 @ Y7))))))))))) => 46.85/7.25 (Y5 @ Y4)))))))))))))))))))))))))))), 46.85/7.25 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl1])). 46.85/7.25 thf(zip_derived_cl3, plain, 46.85/7.25 (~ (((!!) @ (^[Y0 : a]: 46.85/7.25 (((((!!) @ (^[Y1 : a > $o]: 46.85/7.25 (((((((!!) @ (^[Y2 : a]: 46.85/7.25 ((((('#sk1' @ '#sk3' @ Y2) | 46.85/7.25 ('#sk2' @ '#sk3' @ Y2))) => 46.85/7.25 (Y1 @ Y2)))))) & 46.85/7.25 (((!!) @ (^[Y2 : a]: 46.85/7.25 (((!!) @ (^[Y3 : a]: 46.85/7.25 ((((((('#sk2' @ 46.85/7.25 Y2 @ Y3) | 46.85/7.25 ('#sk1' @ 46.85/7.25 Y2 @ Y3))) & 46.85/7.25 (Y1 @ Y2))) => 46.85/7.25 (Y1 @ Y3))))))))))) => 46.85/7.25 (Y1 @ Y0)))))) | 46.85/7.25 (((((~) @ (((!!) @ (^[Y1 : a > $o]: 46.85/7.25 (((((((!!) @ (^[Y2 : a]: 46.85/7.25 ((((('#sk1' @ 46.85/7.25 '#sk3' @ Y2) | 46.85/7.25 ('#sk2' @ 46.85/7.25 '#sk3' @ Y2))) => 46.85/7.25 (Y1 @ Y2)))))) & 46.85/7.25 (((!!) @ (^[Y2 : a]: 46.85/7.25 (((!!) @ ( 46.85/7.25 ^[Y3 : a]: 46.85/7.25 (((((( 46.85/7.25 ('#sk1' @ 46.85/7.25 Y2 @ Y3) | 46.85/7.25 ('#sk2' @ 46.85/7.25 Y2 @ Y3))) & 46.85/7.25 (Y1 @ Y2))) => 46.85/7.25 (Y1 @ Y3))))))))))) => 46.85/7.25 (Y1 @ Y0)))))))) & 46.85/7.25 (((!!) @ (^[Y1 : a]: 46.85/7.25 (((!!) @ (^[Y2 : a]: 46.85/7.25 (((((((!!) @ (^[Y3 : a > $o]: 46.85/7.25 (((((( 46.85/7.25 (!!) @ ( 46.85/7.25 ^[Y4 : a]: 46.85/7.25 (( 46.85/7.25 (!!) @ ( 46.85/7.25 ^[Y5 : a]: 46.85/7.25 (( 46.85/7.25 (( 46.85/7.25 (Y3 @ 46.85/7.25 Y4) & 46.85/7.25 ('#sk2' @ 46.85/7.25 Y4 @ Y5))) => 46.85/7.25 (Y3 @ Y5))))))))) & 46.85/7.25 (( 46.85/7.25 (!!) @ ( 46.85/7.25 ^[Y4 : a]: 46.85/7.25 (( 46.85/7.25 ('#sk2' @ 46.85/7.25 Y1 @ 46.85/7.25 Y4) => 46.85/7.25 (Y3 @ Y4)))))))) => 46.85/7.25 (Y3 @ Y2)))))) | 46.85/7.25 (((!!) @ (^[Y3 : a > $o]: 46.85/7.25 (((((( 46.85/7.25 (!!) @ ( 46.85/7.25 ^[Y4 : a]: 46.85/7.25 (( 46.85/7.25 ('#sk1' @ 46.85/7.25 Y1 @ 46.85/7.25 Y4) => 46.85/7.25 (Y3 @ Y4)))))) & 46.85/7.25 (( 46.85/7.25 (!!) @ ( 46.85/7.25 ^[Y4 : a]: 46.85/7.25 (( 46.85/7.25 (!!) @ ( 46.85/7.25 ^[Y5 : a]: 46.85/7.25 (( 46.85/7.25 (( 46.85/7.25 (Y3 @ 46.85/7.25 Y4) & 46.85/7.25 ('#sk1' @ 46.85/7.25 Y4 @ Y5))) => 46.85/7.25 (Y3 @ Y5))))))))))) => 46.85/7.25 (Y3 @ Y2)))))))) => 46.85/7.25 (((!!) @ (^[Y3 : a > $o]: 46.85/7.25 (((((((!!) @ ( 46.85/7.25 ^[Y4 : a]: 46.85/7.25 (( 46.85/7.25 (( 46.85/7.25 ('#sk1' @ 46.85/7.25 Y1 @ 46.85/7.25 Y4) | 46.85/7.25 ('#sk2' @ 46.85/7.25 Y1 @ Y4))) => 46.85/7.25 (Y3 @ Y4)))))) & 46.85/7.25 (((!!) @ ( 46.85/7.25 ^[Y4 : a]: 46.85/7.25 (( 46.85/7.25 (!!) @ ( 46.85/7.25 ^[Y5 : a]: 46.85/7.25 (( 46.85/7.25 (( 46.85/7.25 (Y3 @ 46.85/7.25 Y4) & 46.85/7.25 (( 46.85/7.25 ('#sk2' @ 46.85/7.25 Y4 @ 46.85/7.25 Y5) | 46.85/7.25 ('#sk1' @ 46.85/7.25 Y4 @ Y5))))) => 46.85/7.25 (Y3 @ Y5))))))))))) => 46.85/7.25 (Y3 @ Y2)))))))))))))) & 46.85/7.25 (((!!) @ (^[Y1 : a]: 46.85/7.25 (((!!) @ (^[Y2 : a]: 46.85/7.25 (((!!) @ (^[Y3 : a]: 46.85/7.25 (((((((!!) @ ( 46.85/7.25 ^[Y4 : a > $o]: 46.85/7.25 (( 46.85/7.25 (( 46.85/7.25 (( 46.85/7.25 (!!) @ ( 46.85/7.25 ^[Y5 : a]: 46.85/7.25 (( 46.85/7.25 (( 46.85/7.25 ('#sk1' @ 46.85/7.25 Y1 @ 46.85/7.25 Y5) | 46.85/7.25 ('#sk2' @ 46.85/7.25 Y1 @ Y5))) => 46.85/7.25 (Y4 @ Y5)))))) & 46.85/7.25 (( 46.85/7.25 (!!) @ ( 46.85/7.25 ^[Y5 : a]: 46.85/7.25 (( 46.85/7.25 (!!) @ ( 46.85/7.25 ^[Y6 : a]: 46.85/7.25 (( 46.85/7.25 (( 46.85/7.25 (( 46.85/7.25 ('#sk1' @ 46.85/7.25 Y5 @ 46.85/7.25 Y6) | 46.85/7.25 ('#sk2' @ 46.85/7.25 Y5 @ Y6))) & 46.85/7.25 (Y4 @ Y5))) => 46.85/7.25 (Y4 @ Y6))))))))))) => 46.85/7.25 (Y4 @ Y2)))))) & 46.85/7.25 (((!!) @ ( 46.85/7.25 ^[Y4 : a > $o]: 46.85/7.25 (( 46.85/7.25 (( 46.85/7.25 (( 46.85/7.25 (!!) @ ( 46.85/7.25 ^[Y5 : a]: 46.85/7.25 (( 46.85/7.25 (( 46.85/7.25 ('#sk1' @ 46.85/7.25 Y2 @ 46.85/7.25 Y5) | 46.85/7.25 ('#sk2' @ 46.85/7.25 Y2 @ Y5))) => 46.85/7.25 (Y4 @ Y5)))))) & 46.85/7.25 (( 46.85/7.25 (!!) @ ( 46.85/7.25 ^[Y5 : a]: 46.85/7.25 (( 46.85/7.25 (!!) @ ( 46.85/7.25 ^[Y6 : a]: 46.85/7.25 (( 46.85/7.25 (( 46.85/7.25 (Y4 @ 46.85/7.25 Y5) & 46.85/7.25 (( 46.85/7.25 ('#sk2' @ 46.85/7.25 Y5 @ 46.85/7.25 Y6) | 46.85/7.25 ('#sk1' @ 46.85/7.25 Y5 @ Y6))))) => 46.85/7.25 (Y4 @ Y6))))))))))) => 46.85/7.25 (Y4 @ Y3)))))))) => 46.85/7.25 (((!!) @ ( 46.85/7.25 ^[Y4 : a > $o]: 46.85/7.25 (((( 46.85/7.25 (( 46.85/7.25 (!!) @ ( 46.85/7.25 ^[Y5 : a]: 46.85/7.25 (( 46.85/7.25 (( 46.85/7.25 ('#sk2' @ 46.85/7.25 Y1 @ 46.85/7.25 Y5) | 46.85/7.25 ('#sk1' @ 46.85/7.25 Y1 @ Y5))) => 46.85/7.25 (Y4 @ Y5)))))) & 46.85/7.25 (( 46.85/7.25 (!!) @ ( 46.85/7.25 ^[Y5 : a]: 46.85/7.25 (( 46.85/7.25 (!!) @ ( 46.85/7.25 ^[Y6 : a]: 46.85/7.25 (( 46.85/7.25 (( 46.85/7.25 (Y4 @ 46.85/7.25 Y5) & 46.85/7.25 (( 46.85/7.25 ('#sk2' @ 46.85/7.25 Y5 @ 46.85/7.25 Y6) | 46.85/7.25 ('#sk1' @ 46.85/7.25 Y5 @ Y6))))) => 46.85/7.25 (Y4 @ Y6))))))))))) => 46.85/7.25 (Y4 @ Y3))))))))))))))))))))))))), 46.85/7.25 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl2])). 46.85/7.25 thf(zip_derived_cl4, plain, 46.85/7.25 (~ (((((!!) @ (^[Y0 : a > $o]: 46.85/7.25 (((((((!!) @ (^[Y1 : a]: 46.85/7.25 ((((('#sk1' @ '#sk3' @ Y1) | ('#sk2' @ 46.85/7.25 '#sk3' @ Y1))) => 46.85/7.25 (Y0 @ Y1)))))) & 46.85/7.25 (((!!) @ (^[Y1 : a]: 46.85/7.25 (((!!) @ (^[Y2 : a]: 46.85/7.25 ((((((('#sk2' @ Y1 @ Y2) | 46.85/7.25 ('#sk1' @ Y1 @ Y2))) & 46.85/7.25 (Y0 @ Y1))) => 46.85/7.25 (Y0 @ Y2))))))))))) => 46.85/7.25 (Y0 @ '#sk4')))))) | 46.85/7.25 (((((~) @ (((!!) @ (^[Y0 : a > $o]: 46.85/7.25 (((((((!!) @ (^[Y1 : a]: 46.85/7.25 ((((('#sk1' @ '#sk3' @ Y1) | 46.85/7.25 ('#sk2' @ '#sk3' @ Y1))) => 46.85/7.25 (Y0 @ Y1)))))) & 46.85/7.25 (((!!) @ (^[Y1 : a]: 46.85/7.25 (((!!) @ (^[Y2 : a]: 46.85/7.25 ((((((('#sk1' @ 46.85/7.25 Y1 @ Y2) | 46.85/7.25 ('#sk2' @ 46.85/7.25 Y1 @ Y2))) & 46.85/7.25 (Y0 @ Y1))) => 46.85/7.25 (Y0 @ Y2))))))))))) => 46.85/7.25 (Y0 @ '#sk4')))))))) & 46.85/7.25 (((!!) @ (^[Y0 : a]: 46.85/7.25 (((!!) @ (^[Y1 : a]: 46.85/7.25 (((((((!!) @ (^[Y2 : a > $o]: 46.85/7.25 (((((((!!) @ (^[Y3 : a]: 46.85/7.25 (( 46.85/7.25 (!!) @ ( 46.85/7.25 ^[Y4 : a]: 46.85/7.25 (( 46.85/7.25 (( 46.85/7.25 (Y2 @ 46.85/7.25 Y3) & 46.85/7.25 ('#sk2' @ 46.85/7.25 Y3 @ Y4))) => 46.85/7.25 (Y2 @ Y4))))))))) & 46.85/7.25 (((!!) @ (^[Y3 : a]: 46.85/7.25 (( 46.85/7.25 ('#sk2' @ 46.85/7.25 Y0 @ 46.85/7.25 Y3) => 46.85/7.25 (Y2 @ Y3)))))))) => 46.85/7.25 (Y2 @ Y1)))))) | 46.85/7.25 (((!!) @ (^[Y2 : a > $o]: 46.85/7.25 (((((((!!) @ (^[Y3 : a]: 46.85/7.25 (( 46.85/7.25 ('#sk1' @ 46.85/7.25 Y0 @ 46.85/7.25 Y3) => 46.85/7.25 (Y2 @ Y3)))))) & 46.85/7.25 (((!!) @ (^[Y3 : a]: 46.85/7.25 (( 46.85/7.25 (!!) @ ( 46.85/7.25 ^[Y4 : a]: 46.85/7.25 (( 46.85/7.25 (( 46.85/7.25 (Y2 @ 46.85/7.25 Y3) & 46.85/7.25 ('#sk1' @ 46.85/7.25 Y3 @ Y4))) => 46.85/7.25 (Y2 @ Y4))))))))))) => 46.85/7.25 (Y2 @ Y1)))))))) => 46.85/7.25 (((!!) @ (^[Y2 : a > $o]: 46.85/7.25 (((((((!!) @ (^[Y3 : a]: 46.85/7.25 (((( 46.85/7.25 ('#sk1' @ 46.85/7.25 Y0 @ Y3) | 46.85/7.25 ('#sk2' @ 46.85/7.25 Y0 @ Y3))) => 46.85/7.25 (Y2 @ Y3)))))) & 46.85/7.25 (((!!) @ (^[Y3 : a]: 46.85/7.25 (((!!) @ ( 46.85/7.25 ^[Y4 : a]: 46.85/7.25 (( 46.85/7.25 (( 46.85/7.25 (Y2 @ 46.85/7.25 Y3) & 46.85/7.25 (( 46.85/7.25 ('#sk2' @ 46.85/7.25 Y3 @ 46.85/7.25 Y4) | 46.85/7.25 ('#sk1' @ 46.85/7.25 Y3 @ Y4))))) => 46.85/7.25 (Y2 @ Y4))))))))))) => 46.85/7.25 (Y2 @ Y1)))))))))))))) & 46.85/7.25 (((!!) @ (^[Y0 : a]: 46.85/7.25 (((!!) @ (^[Y1 : a]: 46.85/7.25 (((!!) @ (^[Y2 : a]: 46.85/7.25 (((((((!!) @ (^[Y3 : a > $o]: 46.85/7.25 (((((( 46.85/7.25 (!!) @ ( 46.85/7.25 ^[Y4 : a]: 46.85/7.25 (( 46.85/7.25 (( 46.85/7.25 ('#sk1' @ 46.85/7.25 Y0 @ 46.85/7.25 Y4) | 46.85/7.25 ('#sk2' @ 46.85/7.25 Y0 @ Y4))) => 46.85/7.25 (Y3 @ Y4)))))) & 46.85/7.25 (( 46.85/7.25 (!!) @ ( 46.85/7.25 ^[Y4 : a]: 46.85/7.25 (( 46.85/7.25 (!!) @ ( 46.85/7.25 ^[Y5 : a]: 46.85/7.25 (( 46.85/7.25 (( 46.85/7.25 (( 46.85/7.25 ('#sk1' @ 46.85/7.25 Y4 @ 46.85/7.25 Y5) | 46.85/7.25 ('#sk2' @ 46.85/7.25 Y4 @ Y5))) & 46.85/7.25 (Y3 @ Y4))) => 46.85/7.25 (Y3 @ Y5))))))))))) => 46.85/7.25 (Y3 @ Y1)))))) & 46.85/7.25 (((!!) @ (^[Y3 : a > $o]: 46.85/7.25 (((((( 46.85/7.25 (!!) @ ( 46.85/7.25 ^[Y4 : a]: 46.85/7.25 (( 46.85/7.25 (( 46.85/7.25 ('#sk1' @ 46.85/7.25 Y1 @ 46.85/7.25 Y4) | 46.85/7.25 ('#sk2' @ 46.85/7.25 Y1 @ Y4))) => 46.85/7.25 (Y3 @ Y4)))))) & 46.85/7.25 (( 46.85/7.25 (!!) @ ( 46.85/7.25 ^[Y4 : a]: 46.85/7.25 (( 46.85/7.25 (!!) @ ( 46.85/7.25 ^[Y5 : a]: 46.85/7.25 (( 46.85/7.25 (( 46.85/7.25 (Y3 @ 46.85/7.25 Y4) & 46.85/7.25 (( 46.85/7.25 ('#sk2' @ 46.85/7.25 Y4 @ 46.85/7.25 Y5) | 46.85/7.25 ('#sk1' @ 46.85/7.25 Y4 @ Y5))))) => 46.85/7.25 (Y3 @ Y5))))))))))) => 46.85/7.25 (Y3 @ Y2)))))))) => 46.85/7.25 (((!!) @ (^[Y3 : a > $o]: 46.85/7.25 (((((((!!) @ ( 46.85/7.25 ^[Y4 : a]: 46.85/7.25 (( 46.85/7.25 (( 46.85/7.25 ('#sk2' @ 46.85/7.25 Y0 @ 46.85/7.25 Y4) | 46.85/7.25 ('#sk1' @ 46.85/7.25 Y0 @ Y4))) => 46.85/7.25 (Y3 @ Y4)))))) & 46.85/7.25 (((!!) @ ( 46.85/7.25 ^[Y4 : a]: 46.85/7.25 (( 46.85/7.25 (!!) @ ( 46.85/7.25 ^[Y5 : a]: 46.85/7.25 (( 46.85/7.25 (( 46.85/7.25 (Y3 @ 46.85/7.25 Y4) & 46.85/7.25 (( 46.85/7.25 ('#sk2' @ 46.85/7.25 Y4 @ 46.85/7.25 Y5) | 46.85/7.25 ('#sk1' @ 46.85/7.25 Y4 @ Y5))))) => 46.85/7.25 (Y3 @ Y5))))))))))) => 46.85/7.25 (Y3 @ Y2)))))))))))))))))))))), 46.85/7.25 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl3])). 46.85/7.25 thf(zip_derived_cl6, plain, 46.85/7.25 (~ (((((~) @ (((!!) @ (^[Y0 : a > $o]: 46.85/7.25 (((((((!!) @ (^[Y1 : a]: 46.85/7.25 ((((('#sk1' @ '#sk3' @ Y1) | 46.85/7.25 ('#sk2' @ '#sk3' @ Y1))) => 46.85/7.25 (Y0 @ Y1)))))) & 46.85/7.25 (((!!) @ (^[Y1 : a]: 46.85/7.25 (((!!) @ (^[Y2 : a]: 46.85/7.25 ((((((('#sk1' @ 46.85/7.25 Y1 @ Y2) | 46.85/7.25 ('#sk2' @ 46.85/7.25 Y1 @ Y2))) & 46.85/7.25 (Y0 @ Y1))) => 46.85/7.25 (Y0 @ Y2))))))))))) => 46.85/7.25 (Y0 @ '#sk4')))))))) & 46.85/7.25 (((!!) @ (^[Y0 : a]: 46.85/7.25 (((!!) @ (^[Y1 : a]: 46.85/7.25 (((((((!!) @ (^[Y2 : a > $o]: 46.85/7.25 (((((((!!) @ (^[Y3 : a]: 46.85/7.25 (((!!) @ ( 46.85/7.25 ^[Y4 : a]: 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46.85/7.25 (Y2 @ 46.85/7.25 Y3) & 46.85/7.25 (( 46.85/7.25 ('#sk2' @ 46.85/7.25 Y3 @ 46.85/7.25 Y4) | 46.85/7.25 ('#sk1' @ 46.85/7.25 Y3 @ Y4))))) => 46.85/7.25 (Y2 @ Y4))))))))))) => 46.85/7.25 (Y2 @ Y1)))))))))))))) & 46.85/7.25 (((!!) @ (^[Y0 : a]: 46.85/7.25 (((!!) @ (^[Y1 : a]: 46.85/7.25 (((!!) @ (^[Y2 : a]: 46.85/7.25 (((((((!!) @ (^[Y3 : a > $o]: 46.85/7.25 (((((((!!) @ ( 46.85/7.25 ^[Y4 : a]: 46.85/7.25 (( 46.85/7.25 (( 46.85/7.25 ('#sk1' @ 46.85/7.25 Y0 @ 46.85/7.25 Y4) | 46.85/7.25 ('#sk2' @ 46.85/7.25 Y0 @ Y4))) => 46.85/7.25 (Y3 @ Y4)))))) & 46.85/7.25 (((!!) @ ( 46.85/7.25 ^[Y4 : a]: 46.85/7.25 (( 46.85/7.25 (!!) @ ( 46.85/7.25 ^[Y5 : a]: 46.85/7.25 (( 46.85/7.25 (( 46.85/7.25 (( 46.85/7.25 ('#sk1' @ 46.85/7.25 Y4 @ 46.85/7.25 Y5) | 46.85/7.25 ('#sk2' @ 46.85/7.25 Y4 @ Y5))) & 46.85/7.25 (Y3 @ Y4))) => 46.85/7.25 (Y3 @ Y5))))))))))) => 46.85/7.25 (Y3 @ Y1)))))) & 46.85/7.25 (((!!) @ (^[Y3 : a > $o]: 46.85/7.25 (((((((!!) @ ( 46.85/7.25 ^[Y4 : a]: 46.85/7.25 (( 46.85/7.25 (( 46.85/7.25 ('#sk1' @ 46.85/7.25 Y1 @ 46.85/7.25 Y4) | 46.85/7.25 ('#sk2' @ 46.85/7.25 Y1 @ Y4))) => 46.85/7.25 (Y3 @ Y4)))))) & 46.85/7.25 (((!!) @ ( 46.85/7.25 ^[Y4 : a]: 46.85/7.25 (( 46.85/7.25 (!!) @ ( 46.85/7.25 ^[Y5 : a]: 46.85/7.25 (( 46.85/7.25 (( 46.85/7.25 (Y3 @ 46.85/7.25 Y4) & 46.85/7.25 (( 46.85/7.25 ('#sk2' @ 46.85/7.25 Y4 @ 46.85/7.25 Y5) | 46.85/7.25 ('#sk1' @ 46.85/7.25 Y4 @ Y5))))) => 46.85/7.25 (Y3 @ Y5))))))))))) => 46.85/7.25 (Y3 @ Y2)))))))) => 46.85/7.25 (((!!) @ (^[Y3 : a > $o]: 46.85/7.25 (((((((!!) @ ( 46.85/7.25 ^[Y4 : a]: 46.85/7.25 (( 46.85/7.25 (( 46.85/7.25 ('#sk2' @ 46.85/7.25 Y0 @ 46.85/7.25 Y4) | 46.85/7.25 ('#sk1' @ 46.85/7.25 Y0 @ Y4))) => 46.85/7.25 (Y3 @ Y4)))))) & 46.85/7.25 (((!!) @ ( 46.85/7.25 ^[Y4 : a]: 46.85/7.25 (( 46.85/7.25 (!!) @ ( 46.85/7.25 ^[Y5 : a]: 46.85/7.25 (( 46.85/7.25 (( 46.85/7.25 (Y3 @ 46.85/7.25 Y4) & 46.85/7.25 (( 46.85/7.25 ('#sk2' @ 46.85/7.25 Y4 @ 46.85/7.25 Y5) | 46.85/7.25 ('#sk1' @ 46.85/7.25 Y4 @ Y5))))) => 46.85/7.25 (Y3 @ Y5))))))))))) => 46.85/7.25 (Y3 @ Y2)))))))))))))))))))), 46.85/7.25 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl4])). 46.85/7.25 thf(zip_derived_cl8, plain, 46.85/7.25 (( (((!!) @ (^[Y0 : a > $o]: 46.85/7.25 (((((((!!) @ (^[Y1 : a]: 46.85/7.25 ((((('#sk1' @ '#sk3' @ Y1) | ('#sk2' @ 46.85/7.25 '#sk3' @ Y1))) => 46.85/7.25 (Y0 @ Y1)))))) & 46.85/7.25 (((!!) @ (^[Y1 : a]: 46.85/7.25 (((!!) @ (^[Y2 : a]: 46.85/7.25 ((((((('#sk1' @ Y1 @ Y2) | 46.85/7.25 ('#sk2' @ Y1 @ Y2))) & 46.85/7.25 (Y0 @ Y1))) => 46.85/7.25 (Y0 @ Y2))))))))))) => 46.85/7.25 (Y0 @ '#sk4')))))) 46.85/7.25 | ~ (((!!) @ (^[Y0 : a]: 46.85/7.25 (((!!) @ (^[Y1 : a]: 46.85/7.25 (((((((!!) @ (^[Y2 : a > $o]: 46.85/7.25 (((((((!!) @ (^[Y3 : a]: 46.85/7.25 (((!!) @ ( 46.85/7.25 ^[Y4 : a]: 46.85/7.25 (( 46.85/7.25 (( 46.85/7.25 (Y2 @ 46.85/7.25 Y3) & 46.85/7.25 ('#sk2' @ 46.85/7.25 Y3 @ Y4))) => 46.85/7.25 (Y2 @ Y4))))))))) & 46.85/7.25 (((!!) @ (^[Y3 : a]: 46.85/7.25 ((('#sk2' @ 46.85/7.25 Y0 @ 46.85/7.25 Y3) => 46.85/7.25 (Y2 @ Y3)))))))) => 46.85/7.25 (Y2 @ Y1)))))) | 46.85/7.25 (((!!) @ (^[Y2 : a > $o]: 46.85/7.25 (((((((!!) @ (^[Y3 : a]: 46.85/7.25 ((('#sk1' @ 46.85/7.25 Y0 @ 46.85/7.25 Y3) => 46.85/7.25 (Y2 @ Y3)))))) & 46.85/7.25 (((!!) @ (^[Y3 : a]: 46.85/7.25 (((!!) @ ( 46.85/7.25 ^[Y4 : a]: 46.85/7.25 (( 46.85/7.25 (( 46.85/7.25 (Y2 @ 46.85/7.25 Y3) & 46.85/7.25 ('#sk1' @ 46.85/7.25 Y3 @ Y4))) => 46.85/7.25 (Y2 @ Y4))))))))))) => 46.85/7.25 (Y2 @ Y1)))))))) => 46.85/7.25 (((!!) @ (^[Y2 : a > $o]: 46.85/7.25 (((((((!!) @ (^[Y3 : a]: 46.85/7.25 ((((('#sk1' @ 46.85/7.25 Y0 @ 46.85/7.25 Y3) | 46.85/7.25 ('#sk2' @ 46.85/7.25 Y0 @ Y3))) => 46.85/7.25 (Y2 @ Y3)))))) & 46.85/7.25 (((!!) @ (^[Y3 : a]: 46.85/7.25 (((!!) @ ( 46.85/7.25 ^[Y4 : a]: 46.85/7.25 ( 46.85/7.25 ( 46.85/7.25 (( 46.85/7.25 (Y2 @ 46.85/7.25 Y3) & 46.85/7.25 (( 46.85/7.25 ('#sk2' @ 46.85/7.25 Y3 @ 46.85/7.25 Y4) | 46.85/7.25 ('#sk1' @ 46.85/7.25 Y3 @ Y4))))) => 46.85/7.25 (Y2 @ Y4))))))))))) => 46.85/7.25 (Y2 @ Y1)))))))))))))) 46.85/7.25 | ~ (((!!) @ (^[Y0 : a]: 46.85/7.25 (((!!) @ (^[Y1 : a]: 46.85/7.25 (((!!) @ (^[Y2 : a]: 46.85/7.25 (((((((!!) @ (^[Y3 : a > $o]: 46.85/7.25 (((((((!!) @ ( 46.85/7.25 ^[Y4 : a]: 46.85/7.25 (( 46.85/7.25 (( 46.85/7.25 ('#sk1' @ 46.85/7.25 Y0 @ 46.85/7.25 Y4) | 46.85/7.25 ('#sk2' @ 46.85/7.25 Y0 @ Y4))) => 46.85/7.25 (Y3 @ Y4)))))) & 46.85/7.25 (((!!) @ ( 46.85/7.25 ^[Y4 : a]: 46.85/7.25 (( 46.85/7.25 (!!) @ ( 46.85/7.25 ^[Y5 : a]: 46.85/7.25 (( 46.85/7.25 (( 46.85/7.25 (( 46.85/7.25 ('#sk1' @ 46.85/7.25 Y4 @ 46.85/7.25 Y5) | 46.85/7.25 ('#sk2' @ 46.85/7.25 Y4 @ Y5))) & 46.85/7.25 (Y3 @ Y4))) => 46.85/7.25 (Y3 @ Y5))))))))))) => 46.85/7.25 (Y3 @ Y1)))))) & 46.85/7.25 (((!!) @ (^[Y3 : a > $o]: 46.85/7.25 (((((((!!) @ ( 46.85/7.25 ^[Y4 : a]: 46.85/7.25 (( 46.85/7.25 (( 46.85/7.25 ('#sk1' @ 46.85/7.25 Y1 @ 46.85/7.25 Y4) | 46.85/7.25 ('#sk2' @ 46.85/7.25 Y1 @ Y4))) => 46.85/7.25 (Y3 @ Y4)))))) & 46.85/7.25 (((!!) @ ( 46.85/7.25 ^[Y4 : a]: 46.85/7.25 (( 46.85/7.25 (!!) @ ( 46.85/7.25 ^[Y5 : a]: 46.85/7.25 (( 46.85/7.25 (( 46.85/7.25 (Y3 @ 46.85/7.25 Y4) & 46.85/7.25 (( 46.85/7.25 ('#sk2' @ 46.85/7.25 Y4 @ 46.85/7.25 Y5) | 46.85/7.25 ('#sk1' @ 46.85/7.25 Y4 @ Y5))))) => 46.85/7.25 (Y3 @ Y5))))))))))) => 46.85/7.25 (Y3 @ Y2)))))))) => 46.85/7.25 (((!!) @ (^[Y3 : a > $o]: 46.85/7.25 (((((((!!) @ ( 46.85/7.25 ^[Y4 : a]: 46.85/7.25 ( 46.85/7.25 ( 46.85/7.25 (( 46.85/7.25 ('#sk2' @ 46.85/7.25 Y0 @ 46.85/7.25 Y4) | 46.85/7.25 ('#sk1' @ 46.85/7.25 Y0 @ Y4))) => 46.85/7.25 (Y3 @ Y4)))))) & 46.85/7.25 (((!!) @ ( 46.85/7.25 ^[Y4 : a]: 46.85/7.25 ( 46.85/7.25 ( 46.85/7.25 (!!) @ ( 46.85/7.25 ^[Y5 : a]: 46.85/7.25 (( 46.85/7.25 (( 46.85/7.25 (Y3 @ 46.85/7.25 Y4) & 46.85/7.25 (( 46.85/7.25 ('#sk2' @ 46.85/7.25 Y4 @ 46.85/7.25 Y5) | 46.85/7.25 ('#sk1' @ 46.85/7.25 Y4 @ Y5))))) => 46.85/7.25 (Y3 @ Y5))))))))))) => 46.85/7.25 (Y3 @ Y2))))))))))))))))))), 46.85/7.25 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl6])). 46.85/7.25 thf(zip_derived_cl11, plain, 46.85/7.25 (![X2 : a > $o]: 46.85/7.25 ( (((((((!!) @ (^[Y0 : a]: 46.85/7.25 ((((('#sk1' @ '#sk3' @ Y0) | ('#sk2' @ '#sk3' @ Y0))) => 46.85/7.25 (X2 @ Y0)))))) & 46.85/7.25 (((!!) @ (^[Y0 : a]: 46.85/7.25 (((!!) @ (^[Y1 : a]: 46.85/7.25 ((((((('#sk1' @ Y0 @ Y1) | ('#sk2' @ 46.85/7.25 Y0 @ Y1))) & 46.85/7.25 (X2 @ Y0))) => 46.85/7.25 (X2 @ Y1))))))))))) => 46.85/7.25 (X2 @ '#sk4'))) 46.85/7.25 | ~ (((!!) @ (^[Y0 : a]: 46.85/7.25 (((!!) @ (^[Y1 : a]: 46.85/7.25 (((!!) @ (^[Y2 : a]: 46.85/7.25 (((((((!!) @ (^[Y3 : a > $o]: 46.85/7.25 (((((( 46.85/7.25 (!!) @ ( 46.85/7.25 ^[Y4 : a]: 46.85/7.25 (( 46.85/7.25 (( 46.85/7.25 ('#sk1' @ 46.85/7.25 Y0 @ 46.85/7.25 Y4) | 46.85/7.25 ('#sk2' @ 46.85/7.25 Y0 @ Y4))) => 46.85/7.25 (Y3 @ Y4)))))) & 46.85/7.25 (( 46.85/7.25 (!!) @ ( 46.85/7.25 ^[Y4 : a]: 46.85/7.25 (( 46.85/7.25 (!!) @ ( 46.85/7.25 ^[Y5 : a]: 46.85/7.25 (( 46.85/7.25 (( 46.85/7.25 (( 46.85/7.25 ('#sk1' @ 46.85/7.25 Y4 @ 46.85/7.25 Y5) | 46.85/7.25 ('#sk2' @ 46.85/7.25 Y4 @ Y5))) & 46.85/7.25 (Y3 @ Y4))) => 46.85/7.25 (Y3 @ Y5))))))))))) => 46.85/7.25 (Y3 @ Y1)))))) & 46.85/7.25 (((!!) @ (^[Y3 : a > $o]: 46.85/7.25 (((((( 46.85/7.25 (!!) @ ( 46.85/7.25 ^[Y4 : a]: 46.85/7.25 (( 46.85/7.25 (( 46.85/7.25 ('#sk1' @ 46.85/7.25 Y1 @ 46.85/7.25 Y4) | 46.85/7.25 ('#sk2' @ 46.85/7.25 Y1 @ Y4))) => 46.85/7.25 (Y3 @ Y4)))))) & 46.85/7.25 (( 46.85/7.25 (!!) @ ( 46.85/7.25 ^[Y4 : a]: 46.85/7.25 (( 46.85/7.25 (!!) @ ( 46.85/7.25 ^[Y5 : a]: 46.85/7.25 (( 46.85/7.25 (( 46.85/7.25 (Y3 @ 46.85/7.25 Y4) & 46.85/7.25 (( 46.85/7.25 ('#sk2' @ 46.85/7.25 Y4 @ 46.85/7.25 Y5) | 46.85/7.25 ('#sk1' @ 46.85/7.25 Y4 @ Y5))))) => 46.85/7.25 (Y3 @ Y5))))))))))) => 46.85/7.25 (Y3 @ Y2)))))))) => 46.85/7.25 (((!!) @ (^[Y3 : a > $o]: 46.85/7.25 (((((((!!) @ ( 46.85/7.25 ^[Y4 : a]: 46.85/7.25 (( 46.85/7.25 (( 46.85/7.25 ('#sk2' @ 46.85/7.25 Y0 @ 46.85/7.25 Y4) | 46.85/7.25 ('#sk1' @ 46.85/7.25 Y0 @ Y4))) => 46.85/7.25 (Y3 @ Y4)))))) & 46.85/7.25 (((!!) @ ( 46.85/7.25 ^[Y4 : a]: 46.85/7.25 (( 46.85/7.25 (!!) @ ( 46.85/7.25 ^[Y5 : a]: 46.85/7.25 (( 46.85/7.25 (( 46.85/7.25 (Y3 @ 46.85/7.25 Y4) & 46.85/7.25 (( 46.85/7.25 ('#sk2' @ 46.85/7.25 Y4 @ 46.85/7.25 Y5) | 46.85/7.25 ('#sk1' @ 46.85/7.25 Y4 @ Y5))))) => 46.85/7.25 (Y3 @ Y5))))))))))) => 46.85/7.25 (Y3 @ Y2))))))))))))))))) 46.85/7.25 | ~ (((!!) @ (^[Y0 : a]: 46.85/7.25 (((!!) @ (^[Y1 : a]: 46.85/7.25 (((((((!!) @ (^[Y2 : a > $o]: 46.85/7.25 (((((((!!) @ (^[Y3 : a]: 46.85/7.25 ( 46.85/7.25 ( 46.85/7.25 (!!) @ ( 46.85/7.25 ^[Y4 : a]: 46.85/7.25 (( 46.85/7.25 (( 46.85/7.25 (Y2 @ 46.85/7.25 Y3) & 46.85/7.25 ('#sk2' @ 46.85/7.25 Y3 @ Y4))) => 46.85/7.25 (Y2 @ Y4))))))))) & 46.85/7.25 (((!!) @ (^[Y3 : a]: 46.85/7.25 ( 46.85/7.25 ( 46.85/7.25 ('#sk2' @ 46.85/7.25 Y0 @ 46.85/7.25 Y3) => 46.85/7.25 (Y2 @ Y3)))))))) => 46.85/7.25 (Y2 @ Y1)))))) | 46.85/7.25 (((!!) @ (^[Y2 : a > $o]: 46.85/7.25 (((((((!!) @ (^[Y3 : a]: 46.85/7.25 ( 46.85/7.25 ( 46.85/7.25 ('#sk1' @ 46.85/7.25 Y0 @ 46.85/7.25 Y3) => 46.85/7.25 (Y2 @ Y3)))))) & 46.85/7.25 (((!!) @ (^[Y3 : a]: 46.85/7.25 ( 46.85/7.25 ( 46.85/7.25 (!!) @ ( 46.85/7.25 ^[Y4 : a]: 46.85/7.25 (( 46.85/7.25 (( 46.85/7.25 (Y2 @ 46.85/7.25 Y3) & 46.85/7.25 ('#sk1' @ 46.85/7.25 Y3 @ Y4))) => 46.85/7.25 (Y2 @ Y4))))))))))) => 46.85/7.25 (Y2 @ Y1)))))))) => 46.85/7.25 (((!!) @ (^[Y2 : a > $o]: 46.85/7.25 (((((((!!) @ (^[Y3 : a]: 46.85/7.25 (((( 46.85/7.25 ('#sk1' @ 46.85/7.25 Y0 @ 46.85/7.25 Y3) | 46.85/7.25 ('#sk2' @ 46.85/7.25 Y0 @ Y3))) => 46.85/7.25 (Y2 @ Y3)))))) & 46.85/7.25 (((!!) @ (^[Y3 : a]: 46.85/7.25 (((!!) @ ( 46.85/7.25 ^[Y4 : a]: 46.85/7.25 (( 46.85/7.25 (( 46.85/7.25 (Y2 @ 46.85/7.25 Y3) & 46.85/7.25 (( 46.85/7.25 ('#sk2' @ 46.85/7.25 Y3 @ 46.85/7.25 Y4) | 46.85/7.25 ('#sk1' @ 46.85/7.25 Y3 @ Y4))))) => 46.85/7.25 (Y2 @ Y4))))))))))) => 46.85/7.25 (Y2 @ Y1)))))))))))))))), 46.85/7.25 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl8])). 46.85/7.25 thf(zip_derived_cl15, plain, 46.85/7.25 (![X2 : a > $o]: 46.85/7.25 (~ (((((!!) @ (^[Y0 : a]: 46.85/7.25 ((((('#sk1' @ '#sk3' @ Y0) | ('#sk2' @ '#sk3' @ Y0))) => 46.85/7.25 (X2 @ Y0)))))) & 46.85/7.25 (((!!) @ (^[Y0 : a]: 46.85/7.25 (((!!) @ (^[Y1 : a]: 46.85/7.25 ((((((('#sk1' @ Y0 @ Y1) | ('#sk2' @ 46.85/7.25 Y0 @ Y1))) & 46.85/7.25 (X2 @ Y0))) => 46.85/7.25 (X2 @ Y1))))))))))) 46.85/7.25 | (X2 @ '#sk4') 46.85/7.25 | ~ (((!!) @ (^[Y0 : a]: 46.85/7.25 (((!!) @ (^[Y1 : a]: 46.85/7.25 (((((((!!) @ (^[Y2 : a > $o]: 46.85/7.25 (((((((!!) @ (^[Y3 : a]: 46.85/7.25 ( 46.85/7.25 ( 46.85/7.25 (!!) @ ( 46.85/7.25 ^[Y4 : a]: 46.85/7.25 (( 46.85/7.25 (( 46.85/7.25 (Y2 @ 46.85/7.25 Y3) & 46.85/7.25 ('#sk2' @ 46.85/7.25 Y3 @ Y4))) => 46.85/7.25 (Y2 @ Y4))))))))) & 46.85/7.25 (((!!) @ (^[Y3 : a]: 46.85/7.25 ( 46.85/7.25 ( 46.85/7.25 ('#sk2' @ 46.85/7.25 Y0 @ 46.85/7.25 Y3) => 46.85/7.25 (Y2 @ Y3)))))))) => 46.85/7.25 (Y2 @ Y1)))))) | 46.85/7.25 (((!!) @ (^[Y2 : a > $o]: 46.85/7.25 (((((((!!) @ (^[Y3 : a]: 46.85/7.25 ( 46.85/7.25 ( 46.85/7.25 ('#sk1' @ 46.85/7.25 Y0 @ 46.85/7.25 Y3) => 46.85/7.25 (Y2 @ Y3)))))) & 46.85/7.25 (((!!) @ (^[Y3 : a]: 46.85/7.25 ( 46.85/7.25 ( 46.85/7.25 (!!) @ ( 46.85/7.25 ^[Y4 : a]: 46.85/7.25 (( 46.85/7.25 (( 46.85/7.25 (Y2 @ 46.85/7.25 Y3) & 46.85/7.25 ('#sk1' @ 46.85/7.25 Y3 @ Y4))) => 46.85/7.25 (Y2 @ Y4))))))))))) => 46.85/7.25 (Y2 @ Y1)))))))) => 46.85/7.25 (((!!) @ (^[Y2 : a > $o]: 46.85/7.25 (((((((!!) @ (^[Y3 : a]: 46.85/7.25 (((( 46.85/7.25 ('#sk1' @ 46.85/7.25 Y0 @ 46.85/7.25 Y3) | 46.85/7.25 ('#sk2' @ 46.85/7.25 Y0 @ Y3))) => 46.85/7.25 (Y2 @ Y3)))))) & 46.85/7.25 (((!!) @ (^[Y3 : a]: 46.85/7.25 (((!!) @ ( 46.85/7.25 ^[Y4 : a]: 46.85/7.25 (( 46.85/7.25 (( 46.85/7.25 (Y2 @ 46.85/7.25 Y3) & 46.85/7.25 (( 46.85/7.25 ('#sk2' @ 46.85/7.25 Y3 @ 46.85/7.25 Y4) | 46.85/7.25 ('#sk1' @ 46.85/7.25 Y3 @ Y4))))) => 46.85/7.25 (Y2 @ Y4))))))))))) => 46.85/7.25 (Y2 @ Y1)))))))))))))) 46.85/7.25 | ~ (((!!) @ (^[Y0 : a]: 46.85/7.25 (((!!) @ (^[Y1 : a]: 46.85/7.25 (((!!) @ (^[Y2 : a]: 46.85/7.25 (((((((!!) @ (^[Y3 : a > $o]: 46.85/7.25 (((((( 46.85/7.25 (!!) @ ( 46.85/7.25 ^[Y4 : a]: 46.85/7.25 (( 46.85/7.25 (( 46.85/7.25 ('#sk1' @ 46.85/7.25 Y0 @ 46.85/7.25 Y4) | 46.85/7.25 ('#sk2' @ 46.85/7.25 Y0 @ Y4))) => 46.85/7.25 (Y3 @ Y4)))))) & 46.85/7.25 (( 46.85/7.25 (!!) @ ( 46.85/7.25 ^[Y4 : a]: 46.85/7.25 (( 46.85/7.25 (!!) @ ( 46.85/7.25 ^[Y5 : a]: 46.85/7.25 (( 46.85/7.25 (( 46.85/7.25 (( 46.85/7.25 ('#sk1' @ 46.85/7.25 Y4 @ 46.85/7.25 Y5) | 46.85/7.25 ('#sk2' @ 46.85/7.25 Y4 @ Y5))) & 46.85/7.25 (Y3 @ Y4))) => 46.85/7.25 (Y3 @ Y5))))))))))) => 46.85/7.25 (Y3 @ Y1)))))) & 46.85/7.25 (((!!) @ (^[Y3 : a > $o]: 46.85/7.25 (((((( 46.85/7.25 (!!) @ ( 46.85/7.25 ^[Y4 : a]: 46.85/7.25 (( 46.85/7.25 (( 46.85/7.25 ('#sk1' @ 46.85/7.25 Y1 @ 46.85/7.25 Y4) | 46.85/7.25 ('#sk2' @ 46.85/7.25 Y1 @ Y4))) => 46.85/7.25 (Y3 @ Y4)))))) & 46.85/7.25 (( 46.85/7.25 (!!) @ ( 46.85/7.25 ^[Y4 : a]: 46.85/7.25 (( 46.85/7.25 (!!) @ ( 46.85/7.25 ^[Y5 : a]: 46.85/7.25 (( 46.85/7.25 (( 46.85/7.25 (Y3 @ 46.85/7.25 Y4) & 46.85/7.25 (( 46.85/7.25 ('#sk2' @ 46.85/7.25 Y4 @ 46.85/7.25 Y5) | 46.85/7.25 ('#sk1' @ 46.85/7.25 Y4 @ Y5))))) => 46.85/7.25 (Y3 @ Y5))))))))))) => 46.85/7.25 (Y3 @ Y2)))))))) => 46.85/7.25 (((!!) @ (^[Y3 : a > $o]: 46.85/7.25 (((((((!!) @ ( 46.85/7.25 ^[Y4 : a]: 46.85/7.25 (( 46.85/7.25 (( 46.85/7.25 ('#sk2' @ 46.85/7.25 Y0 @ 46.85/7.25 Y4) | 46.85/7.25 ('#sk1' @ 46.85/7.25 Y0 @ Y4))) => 46.85/7.25 (Y3 @ Y4)))))) & 46.85/7.25 (((!!) @ ( 46.85/7.25 ^[Y4 : a]: 46.85/7.25 (( 46.85/7.25 (!!) @ ( 46.85/7.25 ^[Y5 : a]: 46.85/7.25 (( 46.85/7.25 (( 46.85/7.25 (Y3 @ 46.85/7.25 Y4) & 46.85/7.25 (( 46.85/7.25 ('#sk2' @ 46.85/7.25 Y4 @ 46.85/7.25 Y5) | 46.85/7.25 ('#sk1' @ 46.85/7.25 Y4 @ Y5))))) => 46.85/7.25 (Y3 @ Y5))))))))))) => 46.85/7.25 (Y3 @ Y2))))))))))))))))))), 46.85/7.25 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl11])). 46.85/7.25 thf(zip_derived_cl18, plain, 46.85/7.25 (![X2 : a > $o]: 46.85/7.25 (~ (((!!) @ (^[Y0 : a]: 46.85/7.25 ((((('#sk1' @ '#sk3' @ Y0) | ('#sk2' @ '#sk3' @ Y0))) => 46.85/7.25 (X2 @ Y0)))))) 46.85/7.25 | ~ (((!!) @ (^[Y0 : a]: 46.85/7.25 (((!!) @ (^[Y1 : a]: 46.85/7.25 ((((((('#sk1' @ Y0 @ Y1) | ('#sk2' @ 46.85/7.25 Y0 @ Y1))) & 46.85/7.25 (X2 @ Y0))) => 46.85/7.25 (X2 @ Y1))))))))) 46.85/7.25 | ~ (((!!) @ (^[Y0 : a]: 46.85/7.25 (((!!) @ (^[Y1 : a]: 46.85/7.25 (((!!) @ (^[Y2 : a]: 46.85/7.25 (((((((!!) @ (^[Y3 : a > $o]: 46.85/7.25 (((((( 46.85/7.25 (!!) @ ( 46.85/7.25 ^[Y4 : a]: 46.85/7.25 (( 46.85/7.25 (( 46.85/7.25 ('#sk1' @ 46.85/7.25 Y0 @ 46.85/7.25 Y4) | 46.85/7.25 ('#sk2' @ 46.85/7.25 Y0 @ Y4))) => 46.85/7.25 (Y3 @ Y4)))))) & 46.85/7.25 (( 46.85/7.25 (!!) @ ( 46.85/7.25 ^[Y4 : a]: 46.85/7.25 (( 46.85/7.25 (!!) @ ( 46.85/7.25 ^[Y5 : a]: 46.85/7.25 (( 46.85/7.25 (( 46.85/7.25 (( 46.85/7.25 ('#sk1' @ 46.85/7.25 Y4 @ 46.85/7.25 Y5) | 46.85/7.25 ('#sk2' @ 46.85/7.25 Y4 @ Y5))) & 46.85/7.25 (Y3 @ Y4))) => 46.85/7.25 (Y3 @ Y5))))))))))) => 46.85/7.25 (Y3 @ Y1)))))) & 46.85/7.25 (((!!) @ (^[Y3 : a > $o]: 46.85/7.25 (((((( 46.85/7.25 (!!) @ ( 46.85/7.25 ^[Y4 : a]: 46.85/7.25 (( 46.85/7.25 (( 46.85/7.25 ('#sk1' @ 46.85/7.25 Y1 @ 46.85/7.25 Y4) | 46.85/7.25 ('#sk2' @ 46.85/7.25 Y1 @ Y4))) => 46.85/7.25 (Y3 @ Y4)))))) & 46.85/7.25 (( 46.85/7.25 (!!) @ ( 46.85/7.25 ^[Y4 : a]: 46.85/7.25 (( 46.85/7.25 (!!) @ ( 46.85/7.25 ^[Y5 : a]: 46.85/7.25 (( 46.85/7.25 (( 46.85/7.25 (Y3 @ 46.85/7.25 Y4) & 46.85/7.25 (( 46.85/7.25 ('#sk2' @ 46.85/7.25 Y4 @ 46.85/7.25 Y5) | 46.85/7.25 ('#sk1' @ 46.85/7.25 Y4 @ Y5))))) => 46.85/7.25 (Y3 @ Y5))))))))))) => 46.85/7.25 (Y3 @ Y2)))))))) => 46.85/7.25 (((!!) @ (^[Y3 : a > $o]: 46.85/7.25 (((((((!!) @ ( 46.85/7.25 ^[Y4 : a]: 46.85/7.25 (( 46.85/7.25 (( 46.85/7.25 ('#sk2' @ 46.85/7.25 Y0 @ 46.85/7.25 Y4) | 46.85/7.25 ('#sk1' @ 46.85/7.25 Y0 @ Y4))) => 46.85/7.25 (Y3 @ Y4)))))) & 46.85/7.25 (((!!) @ ( 46.85/7.25 ^[Y4 : a]: 46.85/7.25 (( 46.85/7.25 (!!) @ ( 46.85/7.25 ^[Y5 : a]: 46.85/7.25 (( 46.85/7.25 (( 46.85/7.25 (Y3 @ 46.85/7.25 Y4) & 46.85/7.25 (( 46.85/7.25 ('#sk2' @ 46.85/7.25 Y4 @ 46.85/7.25 Y5) | 46.85/7.25 ('#sk1' @ 46.85/7.25 Y4 @ Y5))))) => 46.85/7.25 (Y3 @ Y5))))))))))) => 46.85/7.25 (Y3 @ Y2))))))))))))))))) 46.85/7.25 | ~ (((!!) @ (^[Y0 : a]: 46.85/7.25 (((!!) @ (^[Y1 : a]: 46.85/7.25 (((((((!!) @ (^[Y2 : a > $o]: 46.85/7.25 (((((((!!) @ (^[Y3 : a]: 46.85/7.25 ( 46.85/7.25 ( 46.85/7.25 (!!) @ ( 46.85/7.25 ^[Y4 : a]: 46.85/7.25 (( 46.85/7.25 (( 46.85/7.25 (Y2 @ 46.85/7.25 Y3) & 46.85/7.25 ('#sk2' @ 46.85/7.25 Y3 @ Y4))) => 46.85/7.25 (Y2 @ Y4))))))))) & 46.85/7.25 (((!!) @ (^[Y3 : a]: 46.85/7.25 ( 46.85/7.25 ( 46.85/7.25 ('#sk2' @ 46.85/7.25 Y0 @ 46.85/7.25 Y3) => 46.85/7.25 (Y2 @ Y3)))))))) => 46.85/7.25 (Y2 @ Y1)))))) | 46.85/7.25 (((!!) @ (^[Y2 : a > $o]: 46.85/7.25 (((((((!!) @ (^[Y3 : a]: 46.85/7.25 ( 46.85/7.25 ( 46.85/7.25 ('#sk1' @ 46.85/7.25 Y0 @ 46.85/7.25 Y3) => 46.85/7.25 (Y2 @ Y3)))))) & 46.85/7.25 (((!!) @ (^[Y3 : a]: 46.85/7.25 ( 46.85/7.25 ( 46.85/7.25 (!!) @ ( 46.85/7.25 ^[Y4 : a]: 46.85/7.25 (( 46.85/7.25 (( 46.85/7.25 (Y2 @ 46.85/7.25 Y3) & 46.85/7.25 ('#sk1' @ 46.85/7.25 Y3 @ Y4))) => 46.85/7.25 (Y2 @ Y4))))))))))) => 46.85/7.25 (Y2 @ Y1)))))))) => 46.85/7.25 (((!!) @ (^[Y2 : a > $o]: 46.85/7.25 (((((((!!) @ (^[Y3 : a]: 46.85/7.25 (((( 46.85/7.25 ('#sk1' @ 46.85/7.25 Y0 @ 46.85/7.25 Y3) | 46.85/7.25 ('#sk2' @ 46.85/7.25 Y0 @ Y3))) => 46.85/7.25 (Y2 @ Y3)))))) & 46.85/7.25 (((!!) @ (^[Y3 : a]: 46.85/7.25 (((!!) @ ( 46.85/7.25 ^[Y4 : a]: 46.85/7.25 (( 46.85/7.25 (( 46.85/7.25 (Y2 @ 46.85/7.25 Y3) & 46.85/7.25 (( 46.85/7.25 ('#sk2' @ 46.85/7.25 Y3 @ 46.85/7.25 Y4) | 46.85/7.25 ('#sk1' @ 46.85/7.25 Y3 @ Y4))))) => 46.85/7.25 (Y2 @ Y4))))))))))) => 46.85/7.25 (Y2 @ Y1)))))))))))))) 46.85/7.25 | (X2 @ '#sk4'))), 46.85/7.25 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl15])). 46.85/7.25 thf(zip_derived_cl21, plain, 46.85/7.25 (![X2 : a > $o]: 46.85/7.25 (~ ((((('#sk1' @ '#sk3' @ ('#sk15' @ X2)) | ('#sk2' @ '#sk3' @ 46.85/7.25 ('#sk15' @ X2)))) => 46.85/7.25 (X2 @ ('#sk15' @ X2)))) 46.85/7.25 | (X2 @ '#sk4') 46.85/7.25 | ~ (((!!) @ (^[Y0 : a]: 46.85/7.25 (((!!) @ (^[Y1 : a]: 46.85/7.25 (((((((!!) @ (^[Y2 : a > $o]: 46.85/7.25 (((((((!!) @ (^[Y3 : a]: 46.85/7.25 ( 46.85/7.25 ( 46.85/7.25 (!!) @ ( 46.85/7.25 ^[Y4 : a]: 46.85/7.25 (( 46.85/7.25 (( 46.85/7.25 (Y2 @ 46.85/7.25 Y3) & 46.85/7.25 ('#sk2' @ 46.85/7.25 Y3 @ Y4))) => 46.85/7.25 (Y2 @ Y4))))))))) & 46.85/7.25 (((!!) @ (^[Y3 : a]: 46.85/7.25 ( 46.85/7.25 ( 46.85/7.25 ('#sk2' @ 46.85/7.25 Y0 @ 46.85/7.25 Y3) => 46.85/7.25 (Y2 @ Y3)))))))) => 46.85/7.25 (Y2 @ Y1)))))) | 46.85/7.25 (((!!) @ (^[Y2 : a > $o]: 46.85/7.25 (((((((!!) @ (^[Y3 : a]: 46.85/7.25 ( 46.85/7.25 ( 46.85/7.25 ('#sk1' @ 46.85/7.25 Y0 @ 46.85/7.25 Y3) => 46.85/7.25 (Y2 @ Y3)))))) & 46.85/7.25 (((!!) @ (^[Y3 : a]: 46.85/7.25 ( 46.85/7.25 ( 46.85/7.25 (!!) @ ( 46.85/7.25 ^[Y4 : a]: 46.85/7.25 (( 46.85/7.25 (( 46.85/7.25 (Y2 @ 46.85/7.25 Y3) & 46.85/7.25 ('#sk1' @ 46.85/7.25 Y3 @ Y4))) => 46.85/7.25 (Y2 @ Y4))))))))))) => 46.85/7.25 (Y2 @ Y1)))))))) => 46.85/7.25 (((!!) @ (^[Y2 : a > $o]: 46.85/7.25 (((((((!!) @ (^[Y3 : a]: 46.85/7.25 (((( 46.85/7.25 ('#sk1' @ 46.85/7.25 Y0 @ 46.85/7.25 Y3) | 46.85/7.25 ('#sk2' @ 46.85/7.25 Y0 @ Y3))) => 46.85/7.25 (Y2 @ Y3)))))) & 46.85/7.25 (((!!) @ (^[Y3 : a]: 46.85/7.25 (((!!) @ ( 46.85/7.25 ^[Y4 : a]: 46.85/7.25 (( 46.85/7.25 (( 46.85/7.25 (Y2 @ 46.85/7.25 Y3) & 46.85/7.25 (( 46.85/7.25 ('#sk2' @ 46.85/7.25 Y3 @ 46.85/7.25 Y4) | 46.85/7.25 ('#sk1' @ 46.85/7.25 Y3 @ Y4))))) => 46.85/7.25 (Y2 @ Y4))))))))))) => 46.85/7.25 (Y2 @ Y1)))))))))))))) 46.85/7.25 | ~ (((!!) @ (^[Y0 : a]: 46.85/7.25 (((!!) @ (^[Y1 : a]: 46.85/7.25 (((!!) @ (^[Y2 : a]: 46.85/7.25 (((((((!!) @ (^[Y3 : a > $o]: 46.85/7.25 (((((( 46.85/7.25 (!!) @ ( 46.85/7.25 ^[Y4 : a]: 46.85/7.25 (( 46.85/7.25 (( 46.85/7.25 ('#sk1' @ 46.85/7.25 Y0 @ 46.85/7.25 Y4) | 46.85/7.25 ('#sk2' @ 46.85/7.25 Y0 @ Y4))) => 46.85/7.25 (Y3 @ Y4)))))) & 46.85/7.25 (( 46.85/7.25 (!!) @ ( 46.85/7.25 ^[Y4 : a]: 46.85/7.25 (( 46.85/7.25 (!!) @ ( 46.85/7.25 ^[Y5 : a]: 46.85/7.25 (( 46.85/7.25 (( 46.85/7.25 (( 46.85/7.25 ('#sk1' @ 46.85/7.25 Y4 @ 46.85/7.25 Y5) | 46.85/7.25 ('#sk2' @ 46.85/7.25 Y4 @ Y5))) & 46.85/7.25 (Y3 @ Y4))) => 46.85/7.25 (Y3 @ Y5))))))))))) => 46.85/7.25 (Y3 @ Y1)))))) & 46.85/7.25 (((!!) @ (^[Y3 : a > $o]: 46.85/7.25 (((((( 46.85/7.25 (!!) @ ( 46.85/7.25 ^[Y4 : a]: 46.85/7.25 (( 46.85/7.25 (( 46.85/7.25 ('#sk1' @ 46.85/7.25 Y1 @ 46.85/7.25 Y4) | 46.85/7.25 ('#sk2' @ 46.85/7.25 Y1 @ Y4))) => 46.85/7.25 (Y3 @ Y4)))))) & 46.85/7.25 (( 46.85/7.25 (!!) @ ( 46.85/7.25 ^[Y4 : a]: 46.85/7.25 (( 46.85/7.25 (!!) @ ( 46.85/7.25 ^[Y5 : a]: 46.85/7.25 (( 46.85/7.25 (( 46.85/7.25 (Y3 @ 46.85/7.25 Y4) & 46.85/7.25 (( 46.85/7.25 ('#sk2' @ 46.85/7.25 Y4 @ 46.85/7.25 Y5) | 46.85/7.25 ('#sk1' @ 46.85/7.25 Y4 @ Y5))))) => 46.85/7.25 (Y3 @ Y5))))))))))) => 46.85/7.25 (Y3 @ Y2)))))))) => 46.85/7.25 (((!!) @ (^[Y3 : a > $o]: 46.85/7.25 (((((((!!) @ ( 46.85/7.25 ^[Y4 : a]: 46.85/7.25 (( 46.85/7.25 (( 46.85/7.25 ('#sk2' @ 46.85/7.25 Y0 @ 46.85/7.25 Y4) | 46.85/7.25 ('#sk1' @ 46.85/7.25 Y0 @ Y4))) => 46.85/7.25 (Y3 @ Y4)))))) & 46.85/7.25 (((!!) @ ( 46.85/7.25 ^[Y4 : a]: 46.85/7.25 (( 46.85/7.25 (!!) @ ( 46.85/7.25 ^[Y5 : a]: 46.85/7.25 (( 46.85/7.25 (( 46.85/7.25 (Y3 @ 46.85/7.25 Y4) & 46.85/7.25 (( 46.85/7.25 ('#sk2' @ 46.85/7.25 Y4 @ 46.85/7.25 Y5) | 46.85/7.25 ('#sk1' @ 46.85/7.25 Y4 @ Y5))))) => 46.85/7.25 (Y3 @ Y5))))))))))) => 46.85/7.25 (Y3 @ Y2))))))))))))))))) 46.85/7.25 | ~ (((!!) @ (^[Y0 : a]: 46.85/7.25 (((!!) @ (^[Y1 : a]: 46.85/7.25 ((((((('#sk1' @ Y0 @ Y1) | ('#sk2' @ 46.85/7.25 Y0 @ Y1))) & 46.85/7.25 (X2 @ Y0))) => 46.85/7.25 (X2 @ Y1))))))))))), 46.85/7.25 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl18])). 46.85/7.25 thf(zip_derived_cl25, plain, 46.85/7.25 (![X2 : a > $o]: 46.85/7.25 ( ((('#sk1' @ '#sk3' @ ('#sk15' @ X2)) | ('#sk2' @ '#sk3' @ 46.85/7.25 ('#sk15' @ X2)))) 46.85/7.25 | ~ (((!!) @ (^[Y0 : a]: 46.85/7.25 (((!!) @ (^[Y1 : a]: 46.85/7.25 ((((((('#sk1' @ Y0 @ Y1) | ('#sk2' @ 46.85/7.25 Y0 @ Y1))) & 46.85/7.25 (X2 @ Y0))) => 46.85/7.25 (X2 @ Y1))))))))) 46.85/7.25 | ~ (((!!) @ (^[Y0 : a]: 46.85/7.25 (((!!) @ (^[Y1 : a]: 46.85/7.25 (((!!) @ (^[Y2 : a]: 46.85/7.25 (((((((!!) @ (^[Y3 : a > $o]: 46.85/7.25 (((((( 46.85/7.25 (!!) @ ( 46.85/7.25 ^[Y4 : a]: 46.85/7.25 (( 46.85/7.25 (( 46.85/7.25 ('#sk1' @ 46.85/7.25 Y0 @ 46.85/7.25 Y4) | 46.85/7.25 ('#sk2' @ 46.85/7.25 Y0 @ Y4))) => 46.85/7.25 (Y3 @ Y4)))))) & 46.85/7.25 (( 46.85/7.25 (!!) @ ( 46.85/7.25 ^[Y4 : a]: 46.85/7.25 (( 46.85/7.25 (!!) @ ( 46.85/7.25 ^[Y5 : a]: 46.85/7.25 (( 46.85/7.25 (( 46.85/7.25 (( 46.85/7.25 ('#sk1' @ 46.85/7.25 Y4 @ 46.85/7.25 Y5) | 46.85/7.25 ('#sk2' @ 46.85/7.25 Y4 @ Y5))) & 46.85/7.25 (Y3 @ Y4))) => 46.85/7.25 (Y3 @ Y5))))))))))) => 46.85/7.25 (Y3 @ Y1)))))) & 46.85/7.25 (((!!) @ (^[Y3 : a > $o]: 46.85/7.25 (((((( 46.85/7.25 (!!) @ ( 46.85/7.25 ^[Y4 : a]: 46.85/7.25 (( 46.85/7.25 (( 46.85/7.25 ('#sk1' @ 46.85/7.25 Y1 @ 46.85/7.25 Y4) | 46.85/7.25 ('#sk2' @ 46.85/7.25 Y1 @ Y4))) => 46.85/7.25 (Y3 @ Y4)))))) & 46.85/7.25 (( 46.85/7.25 (!!) @ ( 46.85/7.25 ^[Y4 : a]: 46.85/7.25 (( 46.85/7.25 (!!) @ ( 46.85/7.25 ^[Y5 : a]: 46.85/7.25 (( 46.85/7.25 (( 46.85/7.25 (Y3 @ 46.85/7.25 Y4) & 46.85/7.25 (( 46.85/7.25 ('#sk2' @ 46.85/7.25 Y4 @ 46.85/7.25 Y5) | 46.85/7.25 ('#sk1' @ 46.85/7.25 Y4 @ Y5))))) => 46.85/7.25 (Y3 @ Y5))))))))))) => 46.85/7.25 (Y3 @ Y2)))))))) => 46.85/7.25 (((!!) @ (^[Y3 : a > $o]: 46.85/7.25 (((((((!!) @ ( 46.85/7.25 ^[Y4 : a]: 46.85/7.25 (( 46.85/7.25 (( 46.85/7.25 ('#sk2' @ 46.85/7.25 Y0 @ 46.85/7.25 Y4) | 46.85/7.25 ('#sk1' @ 46.85/7.25 Y0 @ Y4))) => 46.85/7.25 (Y3 @ Y4)))))) & 46.85/7.25 (((!!) @ ( 46.85/7.25 ^[Y4 : a]: 46.85/7.25 (( 46.85/7.25 (!!) @ ( 46.85/7.25 ^[Y5 : a]: 46.85/7.25 (( 46.85/7.25 (( 46.85/7.25 (Y3 @ 46.85/7.25 Y4) & 46.85/7.25 (( 46.85/7.25 ('#sk2' @ 46.85/7.25 Y4 @ 46.85/7.25 Y5) | 46.85/7.25 ('#sk1' @ 46.85/7.25 Y4 @ Y5))))) => 46.85/7.25 (Y3 @ Y5))))))))))) => 46.85/7.25 (Y3 @ Y2))))))))))))))))) 46.85/7.25 | ~ (((!!) @ (^[Y0 : a]: 46.85/7.25 (((!!) @ (^[Y1 : a]: 46.85/7.25 (((((((!!) @ (^[Y2 : a > $o]: 46.85/7.25 (((((((!!) @ (^[Y3 : a]: 46.85/7.25 ( 46.85/7.25 ( 46.85/7.25 (!!) @ ( 46.85/7.25 ^[Y4 : a]: 46.85/7.25 (( 46.85/7.25 (( 46.85/7.25 (Y2 @ 46.85/7.25 Y3) & 46.85/7.25 ('#sk2' @ 46.85/7.25 Y3 @ Y4))) => 46.85/7.25 (Y2 @ Y4))))))))) & 46.85/7.25 (((!!) @ (^[Y3 : a]: 46.85/7.25 ( 46.85/7.25 ( 46.85/7.25 ('#sk2' @ 46.85/7.25 Y0 @ 46.85/7.25 Y3) => 46.85/7.25 (Y2 @ Y3)))))))) => 46.85/7.25 (Y2 @ Y1)))))) | 46.85/7.25 (((!!) @ (^[Y2 : a > $o]: 46.85/7.25 (((((((!!) @ (^[Y3 : a]: 46.85/7.25 ( 46.85/7.25 ( 46.85/7.25 ('#sk1' @ 46.85/7.25 Y0 @ 46.85/7.25 Y3) => 46.85/7.25 (Y2 @ Y3)))))) & 46.85/7.25 (((!!) @ (^[Y3 : a]: 46.85/7.25 ( 46.85/7.25 ( 46.85/7.25 (!!) @ ( 46.85/7.25 ^[Y4 : a]: 46.85/7.25 (( 46.85/7.25 (( 46.85/7.25 (Y2 @ 46.85/7.25 Y3) & 46.85/7.25 ('#sk1' @ 46.85/7.25 Y3 @ Y4))) => 46.85/7.25 (Y2 @ Y4))))))))))) => 46.85/7.25 (Y2 @ Y1)))))))) => 46.85/7.25 (((!!) @ (^[Y2 : a > $o]: 46.85/7.25 (((((((!!) @ (^[Y3 : a]: 46.85/7.25 (((( 46.85/7.25 ('#sk1' @ 46.85/7.25 Y0 @ 46.85/7.25 Y3) | 46.85/7.25 ('#sk2' @ 46.85/7.25 Y0 @ Y3))) => 46.85/7.25 (Y2 @ Y3)))))) & 46.85/7.25 (((!!) @ (^[Y3 : a]: 46.85/7.25 (((!!) @ ( 46.85/7.25 ^[Y4 : a]: 46.85/7.25 (( 46.85/7.25 (( 46.85/7.25 (Y2 @ 46.85/7.25 Y3) & 46.85/7.25 (( 46.85/7.25 ('#sk2' @ 46.85/7.25 Y3 @ 46.85/7.25 Y4) | 46.85/7.25 ('#sk1' @ 46.85/7.25 Y3 @ Y4))))) => 46.85/7.25 (Y2 @ Y4))))))))))) => 46.85/7.25 (Y2 @ Y1)))))))))))))) 46.85/7.25 | (X2 @ '#sk4'))), 46.85/7.25 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl21])). 46.85/7.25 thf(zip_derived_cl28, plain, 46.85/7.25 (( ('#form25') 46.85/7.25 | ~ (((!!) @ (^[Y0 : a]: 46.85/7.25 (((!!) @ (^[Y1 : a]: 46.85/7.25 (((!!) @ (^[Y2 : a]: 46.85/7.25 (((((((!!) @ (^[Y3 : a > $o]: 46.85/7.25 (((((((!!) @ ( 46.85/7.25 ^[Y4 : a]: 46.85/7.25 (( 46.85/7.25 (( 46.85/7.25 ('#sk1' @ 46.85/7.25 Y0 @ 46.85/7.25 Y4) | 46.85/7.25 ('#sk2' @ 46.85/7.25 Y0 @ Y4))) => 46.85/7.25 (Y3 @ Y4)))))) & 46.85/7.25 (((!!) @ ( 46.85/7.25 ^[Y4 : a]: 46.85/7.25 (( 46.85/7.25 (!!) @ ( 46.85/7.25 ^[Y5 : a]: 46.85/7.25 (( 46.85/7.25 (( 46.85/7.25 (( 46.85/7.25 ('#sk1' @ 46.85/7.25 Y4 @ 46.85/7.25 Y5) | 46.85/7.25 ('#sk2' @ 46.85/7.25 Y4 @ Y5))) & 46.85/7.25 (Y3 @ Y4))) => 46.85/7.25 (Y3 @ Y5))))))))))) => 46.85/7.25 (Y3 @ Y1)))))) & 46.85/7.25 (((!!) @ (^[Y3 : a > $o]: 46.85/7.25 (((((((!!) @ ( 46.85/7.25 ^[Y4 : a]: 46.85/7.25 (( 46.85/7.25 (( 46.85/7.25 ('#sk1' @ 46.85/7.25 Y1 @ 46.85/7.25 Y4) | 46.85/7.25 ('#sk2' @ 46.85/7.25 Y1 @ Y4))) => 46.85/7.25 (Y3 @ Y4)))))) & 46.85/7.25 (((!!) @ ( 46.85/7.25 ^[Y4 : a]: 46.85/7.25 (( 46.85/7.25 (!!) @ ( 46.85/7.25 ^[Y5 : a]: 46.85/7.25 (( 46.85/7.25 (( 46.85/7.25 (Y3 @ 46.85/7.25 Y4) & 46.85/7.25 (( 46.85/7.25 ('#sk2' @ 46.85/7.25 Y4 @ 46.85/7.25 Y5) | 46.85/7.25 ('#sk1' @ 46.85/7.25 Y4 @ Y5))))) => 46.85/7.25 (Y3 @ Y5))))))))))) => 46.85/7.25 (Y3 @ Y2)))))))) => 46.85/7.25 (((!!) @ (^[Y3 : a > $o]: 46.85/7.25 (((((((!!) @ ( 46.85/7.25 ^[Y4 : a]: 46.85/7.25 ( 46.85/7.25 ( 46.85/7.25 (( 46.85/7.25 ('#sk2' @ 46.85/7.25 Y0 @ 46.85/7.25 Y4) | 46.85/7.25 ('#sk1' @ 46.85/7.25 Y0 @ Y4))) => 46.85/7.25 (Y3 @ Y4)))))) & 46.85/7.25 (((!!) @ ( 46.85/7.25 ^[Y4 : a]: 46.85/7.25 ( 46.85/7.25 ( 46.85/7.25 (!!) @ ( 46.85/7.25 ^[Y5 : a]: 46.85/7.25 (( 46.85/7.25 (( 46.85/7.25 (Y3 @ 46.85/7.25 Y4) & 46.85/7.25 (( 46.85/7.25 ('#sk2' @ 46.85/7.25 Y4 @ 46.85/7.25 Y5) | 46.85/7.25 ('#sk1' @ 46.85/7.25 Y4 @ Y5))))) => 46.85/7.25 (Y3 @ Y5))))))))))) => 46.85/7.25 (Y3 @ Y2))))))))))))))))))), 46.85/7.25 define([status(thm)])). 46.85/7.25 thf(zip_derived_cl29, plain, 46.85/7.25 ((~ (((!!) @ (^[Y0 : a]: 46.85/7.25 (((!!) @ (^[Y1 : a]: 46.85/7.25 (((((((!!) @ (^[Y2 : a > $o]: 46.85/7.25 (((((((!!) @ (^[Y3 : a]: 46.85/7.25 ((((('#sk1' @ 46.85/7.25 '#sk26' @ 46.85/7.25 Y3) | 46.85/7.25 ('#sk2' @ 46.85/7.25 '#sk26' @ 46.85/7.25 Y3))) => 46.85/7.25 (Y2 @ Y3)))))) & 46.85/7.25 (((!!) @ (^[Y3 : a]: 46.85/7.25 (((!!) @ ( 46.85/7.25 ^[Y4 : a]: 46.85/7.25 ( 46.85/7.25 ( 46.85/7.25 (( 46.85/7.25 (( 46.85/7.25 ('#sk1' @ 46.85/7.25 Y3 @ 46.85/7.25 Y4) | 46.85/7.25 ('#sk2' @ 46.85/7.25 Y3 @ Y4))) & 46.85/7.25 (Y2 @ Y3))) => 46.85/7.25 (Y2 @ Y4))))))))))) => 46.85/7.25 (Y2 @ Y0)))))) & 46.85/7.25 (((!!) @ (^[Y2 : a > $o]: 46.85/7.25 (((((((!!) @ (^[Y3 : a]: 46.85/7.25 ((((('#sk1' @ 46.85/7.25 Y0 @ 46.85/7.25 Y3) | 46.85/7.25 ('#sk2' @ 46.85/7.25 Y0 @ Y3))) => 46.85/7.25 (Y2 @ Y3)))))) & 46.85/7.25 (((!!) @ (^[Y3 : a]: 46.85/7.25 (((!!) @ ( 46.85/7.25 ^[Y4 : a]: 46.85/7.25 ( 46.85/7.25 ( 46.85/7.25 (( 46.85/7.25 (Y2 @ 46.85/7.25 Y3) & 46.85/7.25 (( 46.85/7.25 ('#sk2' @ 46.85/7.25 Y3 @ 46.85/7.25 Y4) | 46.85/7.25 ('#sk1' @ 46.85/7.25 Y3 @ Y4))))) => 46.85/7.25 (Y2 @ Y4))))))))))) => 46.85/7.25 (Y2 @ Y1)))))))) => 46.85/7.25 (((!!) @ (^[Y2 : a > $o]: 46.85/7.25 (((((((!!) @ (^[Y3 : a]: 46.85/7.25 ((((('#sk2' @ 46.85/7.25 '#sk26' @ 46.85/7.25 Y3) | 46.85/7.25 ('#sk1' @ 46.85/7.25 '#sk26' @ 46.85/7.25 Y3))) => 46.85/7.25 (Y2 @ Y3)))))) & 46.85/7.25 (((!!) @ (^[Y3 : a]: 46.85/7.25 (((!!) @ ( 46.85/7.25 ^[Y4 : a]: 46.85/7.25 (((( 46.85/7.25 (Y2 @ 46.85/7.25 Y3) & 46.85/7.25 (( 46.85/7.25 ('#sk2' @ 46.85/7.25 Y3 @ 46.85/7.25 Y4) | 46.85/7.25 ('#sk1' @ 46.85/7.25 Y3 @ Y4))))) => 46.85/7.25 (Y2 @ Y4))))))))))) => 46.85/7.25 (Y2 @ Y1)))))))))))))) 46.85/7.25 | ('#form25'))), 46.85/7.25 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl28])). 46.85/7.25 thf(zip_derived_cl37, plain, 46.85/7.25 ((~ (((!!) @ (^[Y0 : a]: 46.85/7.25 (((((((!!) @ (^[Y1 : a > $o]: 46.85/7.25 (((((((!!) @ (^[Y2 : a]: 46.85/7.25 ((((('#sk1' @ '#sk26' @ 46.85/7.25 Y2) | ('#sk2' @ 46.85/7.25 '#sk26' @ Y2))) => 46.85/7.25 (Y1 @ Y2)))))) & 46.85/7.25 (((!!) @ (^[Y2 : a]: 46.85/7.25 (((!!) @ (^[Y3 : a]: 46.85/7.25 (((((( 46.85/7.25 ('#sk1' @ 46.85/7.25 Y2 @ 46.85/7.25 Y3) | 46.85/7.25 ('#sk2' @ 46.85/7.25 Y2 @ Y3))) & 46.85/7.25 (Y1 @ Y2))) => 46.85/7.25 (Y1 @ Y3))))))))))) => 46.85/7.25 (Y1 @ '#sk36')))))) & 46.85/7.25 (((!!) @ (^[Y1 : a > $o]: 46.85/7.25 (((((((!!) @ (^[Y2 : a]: 46.85/7.25 ((((('#sk1' @ '#sk36' @ 46.85/7.25 Y2) | ('#sk2' @ 46.85/7.25 '#sk36' @ Y2))) => 46.85/7.25 (Y1 @ Y2)))))) & 46.85/7.25 (((!!) @ (^[Y2 : a]: 46.85/7.25 (((!!) @ (^[Y3 : a]: 46.85/7.25 (((((Y1 @ 46.85/7.25 Y2) & 46.85/7.25 (( 46.85/7.25 ('#sk2' @ 46.85/7.25 Y2 @ 46.85/7.25 Y3) | 46.85/7.25 ('#sk1' @ 46.85/7.25 Y2 @ Y3))))) => 46.85/7.25 (Y1 @ Y3))))))))))) => 46.85/7.25 (Y1 @ Y0)))))))) => 46.85/7.25 (((!!) @ (^[Y1 : a > $o]: 46.85/7.25 (((((((!!) @ (^[Y2 : a]: 46.85/7.25 ((((('#sk2' @ '#sk26' @ 46.85/7.25 Y2) | ('#sk1' @ 46.85/7.25 '#sk26' @ Y2))) => 46.85/7.25 (Y1 @ Y2)))))) & 46.85/7.25 (((!!) @ (^[Y2 : a]: 46.85/7.25 (((!!) @ (^[Y3 : a]: 46.85/7.25 (((((Y1 @ Y2) & 46.85/7.25 ((('#sk2' @ 46.85/7.25 Y2 @ 46.85/7.25 Y3) | 46.85/7.25 ('#sk1' @ 46.85/7.25 Y2 @ Y3))))) => 46.85/7.25 (Y1 @ Y3))))))))))) => 46.85/7.25 (Y1 @ Y0))))))))))) 46.85/7.25 | ('#form25'))), 46.85/7.25 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl29])). 46.85/7.25 thf(zip_derived_cl41, plain, 46.85/7.25 ((~ (((((((!!) @ (^[Y0 : a > $o]: 46.85/7.25 (((((((!!) @ (^[Y1 : a]: 46.85/7.25 ((((('#sk1' @ '#sk26' @ Y1) | 46.85/7.25 ('#sk2' @ '#sk26' @ Y1))) => 46.85/7.25 (Y0 @ Y1)))))) & 46.85/7.25 (((!!) @ (^[Y1 : a]: 46.85/7.25 (((!!) @ (^[Y2 : a]: 46.85/7.25 ((((((('#sk1' @ Y1 @ 46.85/7.25 Y2) | ('#sk2' @ 46.85/7.25 Y1 @ Y2))) & 46.85/7.25 (Y0 @ Y1))) => 46.85/7.25 (Y0 @ Y2))))))))))) => 46.85/7.25 (Y0 @ '#sk36')))))) & 46.85/7.25 (((!!) @ (^[Y0 : a > $o]: 46.85/7.25 (((((((!!) @ (^[Y1 : a]: 46.85/7.25 ((((('#sk1' @ '#sk36' @ Y1) | 46.85/7.25 ('#sk2' @ '#sk36' @ Y1))) => 46.85/7.25 (Y0 @ Y1)))))) & 46.85/7.25 (((!!) @ (^[Y1 : a]: 46.85/7.25 (((!!) @ (^[Y2 : a]: 46.85/7.25 (((((Y0 @ Y1) & 46.85/7.25 ((('#sk2' @ Y1 @ 46.85/7.25 Y2) | ('#sk1' @ 46.85/7.25 Y1 @ Y2))))) => 46.85/7.25 (Y0 @ Y2))))))))))) => 46.85/7.25 (Y0 @ '#sk45')))))))) => 46.85/7.25 (((!!) @ (^[Y0 : a > $o]: 46.85/7.25 (((((((!!) @ (^[Y1 : a]: 46.85/7.25 ((((('#sk2' @ '#sk26' @ Y1) | 46.85/7.25 ('#sk1' @ '#sk26' @ Y1))) => 46.85/7.25 (Y0 @ Y1)))))) & 46.85/7.25 (((!!) @ (^[Y1 : a]: 46.85/7.25 (((!!) @ (^[Y2 : a]: 46.85/7.25 (((((Y0 @ Y1) & 46.85/7.25 ((('#sk2' @ Y1 @ Y2) | 46.85/7.25 ('#sk1' @ Y1 @ Y2))))) => 46.85/7.25 (Y0 @ Y2))))))))))) => 46.85/7.25 (Y0 @ '#sk45')))))))) 46.85/7.25 | ('#form25'))), 46.85/7.25 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl37])). 46.85/7.25 thf(zip_derived_cl49, plain, 46.85/7.25 ((~ (((!!) @ (^[Y0 : a > $o]: 46.85/7.25 (((((((!!) @ (^[Y1 : a]: 46.85/7.25 ((((('#sk2' @ '#sk26' @ Y1) | ('#sk1' @ 46.85/7.25 '#sk26' @ Y1))) => 46.85/7.25 (Y0 @ Y1)))))) & 46.85/7.25 (((!!) @ (^[Y1 : a]: 46.85/7.25 (((!!) @ (^[Y2 : a]: 46.85/7.25 (((((Y0 @ Y1) & 46.85/7.25 ((('#sk2' @ Y1 @ Y2) | 46.85/7.25 ('#sk1' @ Y1 @ Y2))))) => 46.85/7.25 (Y0 @ Y2))))))))))) => 46.85/7.25 (Y0 @ '#sk45')))))) 46.85/7.25 | ('#form25'))), 46.85/7.25 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl41])). 46.85/7.25 thf(zip_derived_cl58, plain, 46.85/7.25 ((~ (((((((!!) @ (^[Y0 : a]: 46.85/7.25 ((((('#sk2' @ '#sk26' @ Y0) | ('#sk1' @ '#sk26' @ Y0))) => 46.85/7.25 ('#sk70' @ Y0)))))) & 46.85/7.25 (((!!) @ (^[Y0 : a]: 46.85/7.25 (((!!) @ (^[Y1 : a]: 46.85/7.25 ((((('#sk70' @ Y0) & 46.85/7.25 ((('#sk2' @ Y0 @ Y1) | ('#sk1' @ 46.85/7.25 Y0 @ Y1))))) => 46.85/7.25 ('#sk70' @ Y1))))))))))) => 46.85/7.25 ('#sk70' @ '#sk45'))) 46.85/7.25 | ('#form25'))), 46.85/7.25 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl49])). 46.85/7.25 thf(zip_derived_cl76, plain, ((~ ('#sk70' @ '#sk45') | ('#form25'))), 46.85/7.25 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl58])). 46.85/7.25 thf(zip_derived_cl48, plain, 46.85/7.25 (( (((((!!) @ (^[Y0 : a > $o]: 46.85/7.25 (((((((!!) @ (^[Y1 : a]: 46.85/7.25 ((((('#sk1' @ '#sk26' @ Y1) | ('#sk2' @ 46.85/7.25 '#sk26' @ Y1))) => 46.85/7.25 (Y0 @ Y1)))))) & 46.85/7.25 (((!!) @ (^[Y1 : a]: 46.85/7.25 (((!!) @ (^[Y2 : a]: 46.85/7.25 ((((((('#sk1' @ Y1 @ Y2) | 46.85/7.25 ('#sk2' @ Y1 @ Y2))) & 46.85/7.25 (Y0 @ Y1))) => 46.85/7.25 (Y0 @ Y2))))))))))) => 46.85/7.25 (Y0 @ '#sk36')))))) & 46.85/7.25 (((!!) @ (^[Y0 : a > $o]: 46.85/7.25 (((((((!!) @ (^[Y1 : a]: 46.85/7.25 ((((('#sk1' @ '#sk36' @ Y1) | ('#sk2' @ 46.85/7.25 '#sk36' @ Y1))) => 46.85/7.25 (Y0 @ Y1)))))) & 46.85/7.25 (((!!) @ (^[Y1 : a]: 46.85/7.25 (((!!) @ (^[Y2 : a]: 46.85/7.25 (((((Y0 @ Y1) & 46.85/7.25 ((('#sk2' @ Y1 @ Y2) | 46.85/7.25 ('#sk1' @ Y1 @ Y2))))) => 46.85/7.25 (Y0 @ Y2))))))))))) => 46.85/7.25 (Y0 @ '#sk45')))))))) 46.85/7.25 | ('#form25'))), 46.85/7.25 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl41])). 46.85/7.25 thf(zip_derived_cl56, plain, 46.85/7.25 (( (((!!) @ (^[Y0 : a > $o]: 46.85/7.25 (((((((!!) @ (^[Y1 : a]: 46.85/7.25 ((((('#sk1' @ '#sk36' @ Y1) | ('#sk2' @ 46.85/7.25 '#sk36' @ Y1))) => 46.85/7.25 (Y0 @ Y1)))))) & 46.85/7.25 (((!!) @ (^[Y1 : a]: 46.85/7.25 (((!!) @ (^[Y2 : a]: 46.85/7.25 (((((Y0 @ Y1) & 46.85/7.25 ((('#sk2' @ Y1 @ Y2) | 46.85/7.25 ('#sk1' @ Y1 @ Y2))))) => 46.85/7.25 (Y0 @ Y2))))))))))) => 46.85/7.25 (Y0 @ '#sk45')))))) 46.85/7.25 | ('#form25'))), 46.85/7.25 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl48])). 46.85/7.25 thf(zip_derived_cl71, plain, 46.85/7.25 (![X2 : a > $o]: 46.85/7.25 ( (((((((!!) @ (^[Y0 : a]: 46.85/7.25 ((((('#sk1' @ '#sk36' @ Y0) | ('#sk2' @ '#sk36' @ 46.85/7.25 Y0))) => 46.85/7.25 (X2 @ Y0)))))) & 46.85/7.25 (((!!) @ (^[Y0 : a]: 46.85/7.25 (((!!) @ (^[Y1 : a]: 46.85/7.25 (((((X2 @ Y0) & 46.85/7.25 ((('#sk2' @ Y0 @ Y1) | ('#sk1' @ 46.85/7.25 Y0 @ Y1))))) => 46.85/7.25 (X2 @ Y1))))))))))) => 46.85/7.25 (X2 @ '#sk45'))) 46.85/7.25 | ('#form25'))), 46.85/7.25 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl56])). 46.85/7.25 thf(zip_derived_cl88, plain, 46.85/7.25 (![X2 : a > $o]: 46.85/7.25 (~ (((((!!) @ (^[Y0 : a]: 46.85/7.25 ((((('#sk1' @ '#sk36' @ Y0) | ('#sk2' @ '#sk36' @ Y0))) => 46.85/7.25 (X2 @ Y0)))))) & 46.85/7.25 (((!!) @ (^[Y0 : a]: 46.85/7.25 (((!!) @ (^[Y1 : a]: 46.85/7.25 (((((X2 @ Y0) & 46.85/7.25 ((('#sk2' @ Y0 @ Y1) | ('#sk1' @ 46.85/7.25 Y0 @ Y1))))) => 46.85/7.25 (X2 @ Y1))))))))))) 46.85/7.25 | (X2 @ '#sk45') 46.85/7.25 | ('#form25'))), 46.85/7.25 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl71])). 46.85/7.25 thf(zip_derived_cl97, plain, 46.85/7.25 (![X2 : a > $o]: 46.85/7.25 (~ (((!!) @ (^[Y0 : a]: 46.85/7.25 ((((('#sk1' @ '#sk36' @ Y0) | ('#sk2' @ '#sk36' @ Y0))) => 46.85/7.25 (X2 @ Y0)))))) 46.85/7.25 | ~ (((!!) @ (^[Y0 : a]: 46.85/7.25 (((!!) @ (^[Y1 : a]: 46.85/7.25 (((((X2 @ Y0) & 46.85/7.25 ((('#sk2' @ Y0 @ Y1) | ('#sk1' @ 46.85/7.25 Y0 @ Y1))))) => 46.85/7.25 (X2 @ Y1))))))))) 46.85/7.25 | ('#form25') 46.85/7.25 | (X2 @ '#sk45'))), 46.85/7.25 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl88])). 46.85/7.25 thf(zip_derived_cl105, plain, 46.85/7.25 (![X2 : a > $o]: 46.85/7.25 (~ ((((('#sk1' @ '#sk36' @ ('#sk132' @ X2)) | ('#sk2' @ '#sk36' @ 46.85/7.25 ('#sk132' @ X2)))) => 46.85/7.25 (X2 @ ('#sk132' @ X2)))) 46.85/7.25 | (X2 @ '#sk45') 46.85/7.25 | ('#form25') 46.85/7.25 | ~ (((!!) @ (^[Y0 : a]: 46.85/7.25 (((!!) @ (^[Y1 : a]: 46.85/7.25 (((((X2 @ Y0) & 46.85/7.25 ((('#sk2' @ Y0 @ Y1) | ('#sk1' @ 46.85/7.25 Y0 @ Y1))))) => 46.85/7.25 (X2 @ Y1))))))))))), 46.85/7.25 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl97])). 46.85/7.25 thf(zip_derived_cl116, plain, 46.85/7.25 (![X2 : a > $o]: 46.85/7.25 (~ (X2 @ ('#sk132' @ X2)) 46.85/7.25 | ~ (((!!) @ (^[Y0 : a]: 46.85/7.25 (((!!) @ (^[Y1 : a]: 46.85/7.25 (((((X2 @ Y0) & 46.85/7.25 ((('#sk2' @ Y0 @ Y1) | ('#sk1' @ 46.85/7.25 Y0 @ Y1))))) => 46.85/7.25 (X2 @ Y1))))))))) 46.85/7.25 | ('#form25') 46.85/7.25 | (X2 @ '#sk45'))), 46.85/7.25 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl105])). 46.85/7.25 thf(zip_derived_cl127, plain, 46.85/7.25 (![X2 : a > $o]: 46.85/7.25 (~ (((!!) @ (^[Y0 : a]: 46.85/7.25 (((((X2 @ ('#sk171' @ X2)) & 46.85/7.25 ((('#sk2' @ ('#sk171' @ X2) @ Y0) | ('#sk1' @ 46.85/7.25 ('#sk171' @ X2) @ Y0))))) => 46.85/7.25 (X2 @ Y0)))))) 46.85/7.25 | (X2 @ '#sk45') 46.85/7.25 | ('#form25') 46.85/7.25 | ~ (X2 @ ('#sk132' @ X2)))), 46.85/7.25 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl116])). 46.85/7.25 thf(zip_derived_cl137, plain, 46.85/7.25 (![X2 : a > $o]: 46.85/7.25 (~ (((((X2 @ ('#sk171' @ X2)) & 46.85/7.25 ((('#sk2' @ ('#sk171' @ X2) @ ('#sk198' @ X2)) | ('#sk1' @ 46.85/7.25 ('#sk171' @ X2) @ ('#sk198' @ X2)))))) => 46.85/7.25 (X2 @ ('#sk198' @ X2)))) 46.85/7.25 | ~ (X2 @ ('#sk132' @ X2)) 46.85/7.25 | ('#form25') 46.85/7.25 | (X2 @ '#sk45'))), 46.85/7.25 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl127])). 46.85/7.25 thf(zip_derived_cl149, plain, 46.85/7.25 (![X2 : a > $o]: 46.85/7.25 (~ (X2 @ ('#sk198' @ X2)) 46.85/7.25 | (X2 @ '#sk45') 46.85/7.25 | ('#form25') 46.85/7.25 | ~ (X2 @ ('#sk132' @ X2)))), 46.85/7.25 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl137])). 46.85/7.25 thf(zip_derived_cl148, plain, 46.85/7.25 (![X2 : a > $o]: 46.85/7.25 ( (((X2 @ ('#sk171' @ X2)) & 46.85/7.25 ((('#sk2' @ ('#sk171' @ X2) @ ('#sk198' @ X2)) | ('#sk1' @ 46.85/7.25 ('#sk171' @ X2) @ ('#sk198' @ X2)))))) 46.85/7.25 | (X2 @ '#sk45') 46.85/7.25 | ('#form25') 46.85/7.25 | ~ (X2 @ ('#sk132' @ X2)))), 46.85/7.25 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl137])). 46.85/7.25 thf(zip_derived_cl161, plain, 46.85/7.25 (![X2 : a > $o]: 46.85/7.25 ( ((('#sk2' @ ('#sk171' @ X2) @ ('#sk198' @ X2)) | ('#sk1' @ 46.85/7.25 ('#sk171' @ X2) @ ('#sk198' @ X2)))) 46.85/7.25 | ~ (X2 @ ('#sk132' @ X2)) 46.85/7.25 | ('#form25') 46.85/7.25 | (X2 @ '#sk45'))), 46.85/7.25 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl148])). 46.85/7.25 thf(zip_derived_cl170, plain, 46.85/7.25 (![X2 : a > $o]: 46.85/7.25 ( ('#sk2' @ ('#sk171' @ X2) @ ('#sk198' @ X2)) 46.85/7.25 | ('#sk1' @ ('#sk171' @ X2) @ ('#sk198' @ X2)) 46.85/7.25 | (X2 @ '#sk45') 46.85/7.25 | ('#form25') 46.85/7.25 | ~ (X2 @ ('#sk132' @ X2)))), 46.85/7.25 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl161])). 46.85/7.25 thf(zip_derived_cl115, plain, 46.85/7.25 (![X2 : a > $o]: 46.85/7.25 ( ((('#sk1' @ '#sk36' @ ('#sk132' @ X2)) | ('#sk2' @ '#sk36' @ 46.85/7.25 ('#sk132' @ X2)))) 46.85/7.25 | ~ (((!!) @ (^[Y0 : a]: 46.85/7.25 (((!!) @ (^[Y1 : a]: 46.85/7.25 (((((X2 @ Y0) & 46.85/7.25 ((('#sk2' @ Y0 @ Y1) | ('#sk1' @ 46.85/7.25 Y0 @ Y1))))) => 46.85/7.25 (X2 @ Y1))))))))) 46.85/7.25 | ('#form25') 46.85/7.25 | (X2 @ '#sk45'))), 46.85/7.25 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl105])). 46.85/7.25 thf(zip_derived_cl126, plain, 46.85/7.25 (![X2 : a > $o]: 46.85/7.25 ( ('#sk1' @ '#sk36' @ ('#sk132' @ X2)) 46.85/7.25 | ('#sk2' @ '#sk36' @ ('#sk132' @ X2)) 46.85/7.25 | (X2 @ '#sk45') 46.85/7.25 | ('#form25') 46.85/7.25 | ~ (((!!) @ (^[Y0 : a]: 46.85/7.25 (((!!) @ (^[Y1 : a]: 46.85/7.25 (((((X2 @ Y0) & 46.85/7.25 ((('#sk2' @ Y0 @ Y1) | ('#sk1' @ 46.85/7.25 Y0 @ Y1))))) => 46.85/7.25 (X2 @ Y1))))))))))), 46.85/7.25 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl115])). 46.85/7.25 thf(zip_derived_cl136, plain, 46.85/7.25 (![X2 : a > $o]: 46.85/7.25 (~ (((!!) @ (^[Y0 : a]: 46.85/7.25 (((((X2 @ ('#sk171' @ X2)) & 46.85/7.25 ((('#sk2' @ ('#sk171' @ X2) @ Y0) | ('#sk1' @ 46.85/7.25 ('#sk171' @ X2) @ Y0))))) => 46.85/7.25 (X2 @ Y0)))))) 46.85/7.25 | ('#form25') 46.85/7.25 | (X2 @ '#sk45') 46.85/7.25 | ('#sk2' @ '#sk36' @ ('#sk132' @ X2)) 46.85/7.25 | ('#sk1' @ '#sk36' @ ('#sk132' @ X2)))), 46.85/7.25 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl126])). 46.85/7.25 thf(zip_derived_cl147, plain, 46.85/7.25 (![X2 : a > $o]: 46.85/7.25 (~ (((((X2 @ ('#sk171' @ X2)) & 46.85/7.25 ((('#sk2' @ ('#sk171' @ X2) @ ('#sk198' @ X2)) | ('#sk1' @ 46.85/7.25 ('#sk171' @ X2) @ ('#sk198' @ X2)))))) => 46.85/7.25 (X2 @ ('#sk198' @ X2)))) 46.85/7.25 | ('#sk1' @ '#sk36' @ ('#sk132' @ X2)) 46.85/7.25 | ('#sk2' @ '#sk36' @ ('#sk132' @ X2)) 46.85/7.25 | (X2 @ '#sk45') 46.85/7.25 | ('#form25'))), 46.85/7.25 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl136])). 46.85/7.25 thf(zip_derived_cl159, plain, 46.85/7.25 (![X2 : a > $o]: 46.85/7.25 (~ (X2 @ ('#sk198' @ X2)) 46.85/7.25 | ('#form25') 46.85/7.25 | (X2 @ '#sk45') 46.85/7.25 | ('#sk2' @ '#sk36' @ ('#sk132' @ X2)) 46.85/7.25 | ('#sk1' @ '#sk36' @ ('#sk132' @ X2)))), 46.85/7.25 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl147])). 46.85/7.25 thf(zip_derived_cl158, plain, 46.85/7.25 (![X2 : a > $o]: 46.85/7.25 ( (((X2 @ ('#sk171' @ X2)) & 46.85/7.25 ((('#sk2' @ ('#sk171' @ X2) @ ('#sk198' @ X2)) | ('#sk1' @ 46.85/7.25 ('#sk171' @ X2) @ ('#sk198' @ X2)))))) 46.85/7.25 | ('#form25') 46.85/7.25 | (X2 @ '#sk45') 46.85/7.25 | ('#sk2' @ '#sk36' @ ('#sk132' @ X2)) 46.85/7.25 | ('#sk1' @ '#sk36' @ ('#sk132' @ X2)))), 46.85/7.25 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl147])). 46.85/7.25 thf(zip_derived_cl169, plain, 46.85/7.25 (![X2 : a > $o]: 46.85/7.25 ( ((('#sk2' @ ('#sk171' @ X2) @ ('#sk198' @ X2)) | ('#sk1' @ 46.85/7.25 ('#sk171' @ X2) @ ('#sk198' @ X2)))) 46.85/7.25 | ('#sk1' @ '#sk36' @ ('#sk132' @ X2)) 46.85/7.25 | ('#sk2' @ '#sk36' @ ('#sk132' @ X2)) 46.85/7.25 | (X2 @ '#sk45') 46.85/7.25 | ('#form25'))), 46.85/7.25 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl158])). 46.85/7.25 thf(zip_derived_cl171, plain, 46.85/7.25 (![X2 : a > $o]: 46.85/7.25 ( ('#sk2' @ ('#sk171' @ X2) @ ('#sk198' @ X2)) 46.85/7.25 | ('#sk1' @ ('#sk171' @ X2) @ ('#sk198' @ X2)) 46.85/7.25 | ('#form25') 46.85/7.25 | (X2 @ '#sk45') 46.85/7.25 | ('#sk2' @ '#sk36' @ ('#sk132' @ X2)) 46.85/7.25 | ('#sk1' @ '#sk36' @ ('#sk132' @ X2)))), 46.85/7.25 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl169])). 46.85/7.25 thf(zip_derived_cl11, plain, 46.85/7.25 (![X2 : a > $o]: 46.85/7.25 ( (((((((!!) @ (^[Y0 : a]: 46.85/7.25 ((((('#sk1' @ '#sk3' @ Y0) | ('#sk2' @ '#sk3' @ Y0))) => 46.85/7.25 (X2 @ Y0)))))) & 46.85/7.25 (((!!) @ (^[Y0 : a]: 46.85/7.25 (((!!) @ (^[Y1 : a]: 46.85/7.25 ((((((('#sk1' @ Y0 @ Y1) | ('#sk2' @ 46.85/7.25 Y0 @ Y1))) & 46.85/7.25 (X2 @ Y0))) => 46.85/7.25 (X2 @ Y1))))))))))) => 46.85/7.25 (X2 @ '#sk4'))) 46.85/7.25 | ~ (((!!) @ (^[Y0 : a]: 46.85/7.25 (((!!) @ (^[Y1 : a]: 46.85/7.25 (((!!) @ (^[Y2 : a]: 46.85/7.25 (((((((!!) @ (^[Y3 : a > $o]: 46.85/7.25 (((((( 46.85/7.25 (!!) @ ( 46.85/7.25 ^[Y4 : a]: 46.85/7.25 (( 46.85/7.25 (( 46.85/7.25 ('#sk1' @ 46.85/7.25 Y0 @ 46.85/7.25 Y4) | 46.85/7.25 ('#sk2' @ 46.85/7.25 Y0 @ Y4))) => 46.85/7.25 (Y3 @ Y4)))))) & 46.85/7.25 (( 46.85/7.25 (!!) @ ( 46.85/7.25 ^[Y4 : a]: 46.85/7.25 (( 46.85/7.25 (!!) @ ( 46.85/7.25 ^[Y5 : a]: 46.85/7.25 (( 46.85/7.25 (( 46.85/7.25 (( 46.85/7.25 ('#sk1' @ 46.85/7.25 Y4 @ 46.85/7.25 Y5) | 46.85/7.25 ('#sk2' @ 46.85/7.25 Y4 @ Y5))) & 46.85/7.25 (Y3 @ Y4))) => 46.85/7.25 (Y3 @ Y5))))))))))) => 46.85/7.25 (Y3 @ Y1)))))) & 46.85/7.25 (((!!) @ (^[Y3 : a > $o]: 46.85/7.25 (((((( 46.85/7.25 (!!) @ ( 46.85/7.25 ^[Y4 : a]: 46.85/7.25 (( 46.85/7.25 (( 46.85/7.25 ('#sk1' @ 46.85/7.25 Y1 @ 46.85/7.25 Y4) | 46.85/7.25 ('#sk2' @ 46.85/7.25 Y1 @ Y4))) => 46.85/7.25 (Y3 @ Y4)))))) & 46.85/7.25 (( 46.85/7.25 (!!) @ ( 46.85/7.25 ^[Y4 : a]: 46.85/7.25 (( 46.85/7.25 (!!) @ ( 46.85/7.25 ^[Y5 : a]: 46.85/7.25 (( 46.85/7.25 (( 46.85/7.25 (Y3 @ 46.85/7.25 Y4) & 46.85/7.25 (( 46.85/7.25 ('#sk2' @ 46.85/7.25 Y4 @ 46.85/7.25 Y5) | 46.85/7.25 ('#sk1' @ 46.85/7.25 Y4 @ Y5))))) => 46.85/7.25 (Y3 @ Y5))))))))))) => 46.85/7.25 (Y3 @ Y2)))))))) => 46.85/7.25 (((!!) @ (^[Y3 : a > $o]: 46.85/7.25 (((((((!!) @ ( 46.85/7.25 ^[Y4 : a]: 46.85/7.25 (( 46.85/7.25 (( 46.85/7.25 ('#sk2' @ 46.85/7.25 Y0 @ 46.85/7.25 Y4) | 46.85/7.25 ('#sk1' @ 46.85/7.25 Y0 @ Y4))) => 46.85/7.25 (Y3 @ Y4)))))) & 46.85/7.25 (((!!) @ ( 46.85/7.25 ^[Y4 : a]: 46.85/7.25 (( 46.85/7.25 (!!) @ ( 46.85/7.25 ^[Y5 : a]: 46.85/7.25 (( 46.85/7.25 (( 46.85/7.25 (Y3 @ 46.85/7.25 Y4) & 46.85/7.25 (( 46.85/7.25 ('#sk2' @ 46.85/7.25 Y4 @ 46.85/7.25 Y5) | 46.85/7.25 ('#sk1' @ 46.85/7.25 Y4 @ Y5))))) => 46.85/7.25 (Y3 @ Y5))))))))))) => 46.85/7.25 (Y3 @ Y2))))))))))))))))) 46.85/7.25 | ~ (((!!) @ (^[Y0 : a]: 46.85/7.25 (((!!) @ (^[Y1 : a]: 46.85/7.25 (((((((!!) @ (^[Y2 : a > $o]: 46.85/7.25 (((((((!!) @ (^[Y3 : a]: 46.85/7.25 ( 46.85/7.25 ( 46.85/7.25 (!!) @ ( 46.85/7.25 ^[Y4 : a]: 46.85/7.25 (( 46.85/7.25 (( 46.85/7.25 (Y2 @ 46.85/7.25 Y3) & 46.85/7.25 ('#sk2' @ 46.85/7.25 Y3 @ Y4))) => 46.85/7.25 (Y2 @ Y4))))))))) & 46.85/7.25 (((!!) @ (^[Y3 : a]: 46.85/7.25 ( 46.85/7.25 ( 46.85/7.25 ('#sk2' @ 46.85/7.25 Y0 @ 46.85/7.25 Y3) => 46.85/7.25 (Y2 @ Y3)))))))) => 46.85/7.25 (Y2 @ Y1)))))) | 46.85/7.25 (((!!) @ (^[Y2 : a > $o]: 46.85/7.25 (((((((!!) @ (^[Y3 : a]: 46.85/7.25 ( 46.85/7.25 ( 46.85/7.25 ('#sk1' @ 46.85/7.25 Y0 @ 46.85/7.25 Y3) => 46.85/7.25 (Y2 @ Y3)))))) & 46.85/7.25 (((!!) @ (^[Y3 : a]: 46.85/7.25 ( 46.85/7.25 ( 46.85/7.25 (!!) @ ( 46.85/7.25 ^[Y4 : a]: 46.85/7.25 (( 46.85/7.25 (( 46.85/7.25 (Y2 @ 46.85/7.25 Y3) & 46.85/7.25 ('#sk1' @ 46.85/7.25 Y3 @ Y4))) => 46.85/7.25 (Y2 @ Y4))))))))))) => 46.85/7.25 (Y2 @ Y1)))))))) => 46.85/7.25 (((!!) @ (^[Y2 : a > $o]: 46.85/7.25 (((((((!!) @ (^[Y3 : a]: 46.85/7.26 (((( 46.85/7.26 ('#sk1' @ 46.85/7.26 Y0 @ 46.85/7.26 Y3) | 46.85/7.26 ('#sk2' @ 46.85/7.26 Y0 @ Y3))) => 46.85/7.26 (Y2 @ Y3)))))) & 46.85/7.26 (((!!) @ (^[Y3 : a]: 46.85/7.26 (((!!) @ ( 46.85/7.26 ^[Y4 : a]: 46.85/7.26 (( 46.85/7.26 (( 46.85/7.26 (Y2 @ 46.85/7.26 Y3) & 46.85/7.26 (( 46.85/7.26 ('#sk2' @ 46.85/7.26 Y3 @ 46.85/7.26 Y4) | 46.85/7.26 ('#sk1' @ 46.85/7.26 Y3 @ Y4))))) => 46.85/7.26 (Y2 @ Y4))))))))))) => 46.85/7.26 (Y2 @ Y1)))))))))))))))), 46.85/7.26 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl8])). 46.85/7.26 thf(zip_derived_cl12, plain, 46.85/7.26 (( (((((((!!) @ (^[Y0 : a]: 46.85/7.26 ((((('#sk1' @ '#sk3' @ Y0) | ('#sk2' @ '#sk3' @ Y0))) => 46.85/7.26 ('#sk5' @ Y0)))))) & 46.85/7.26 (((!!) @ (^[Y0 : a]: 46.85/7.26 (((!!) @ (^[Y1 : a]: 46.85/7.26 ((((((('#sk1' @ Y0 @ Y1) | ('#sk2' @ Y0 @ 46.85/7.26 Y1))) & 46.85/7.26 ('#sk5' @ Y0))) => 46.85/7.26 ('#sk5' @ Y1))))))))))) => 46.85/7.26 ('#sk5' @ '#sk4'))) 46.85/7.26 | ~ (((!!) @ (^[Y0 : a]: 46.85/7.26 (((!!) @ (^[Y1 : a]: 46.85/7.26 (((!!) @ (^[Y2 : a]: 46.85/7.26 (((((((!!) @ (^[Y3 : a > $o]: 46.85/7.26 (((((((!!) @ ( 46.85/7.26 ^[Y4 : a]: 46.85/7.26 (( 46.85/7.26 (( 46.85/7.26 ('#sk1' @ 46.85/7.26 Y0 @ 46.85/7.26 Y4) | 46.85/7.26 ('#sk2' @ 46.85/7.26 Y0 @ Y4))) => 46.85/7.26 (Y3 @ Y4)))))) & 46.85/7.26 (((!!) @ ( 46.85/7.26 ^[Y4 : a]: 46.85/7.26 (( 46.85/7.26 (!!) @ ( 46.85/7.26 ^[Y5 : a]: 46.85/7.26 (( 46.85/7.26 (( 46.85/7.26 (( 46.85/7.26 ('#sk1' @ 46.85/7.26 Y4 @ 46.85/7.26 Y5) | 46.85/7.26 ('#sk2' @ 46.85/7.26 Y4 @ Y5))) & 46.85/7.26 (Y3 @ Y4))) => 46.85/7.26 (Y3 @ Y5))))))))))) => 46.85/7.26 (Y3 @ Y1)))))) & 46.85/7.26 (((!!) @ (^[Y3 : a > $o]: 46.85/7.26 (((((((!!) @ ( 46.85/7.26 ^[Y4 : a]: 46.85/7.26 (( 46.85/7.26 (( 46.85/7.26 ('#sk1' @ 46.85/7.26 Y1 @ 46.85/7.26 Y4) | 46.85/7.26 ('#sk2' @ 46.85/7.26 Y1 @ Y4))) => 46.85/7.26 (Y3 @ Y4)))))) & 46.85/7.26 (((!!) @ ( 46.85/7.26 ^[Y4 : a]: 46.85/7.26 (( 46.85/7.26 (!!) @ ( 46.85/7.26 ^[Y5 : a]: 46.85/7.26 (( 46.85/7.26 (( 46.85/7.26 (Y3 @ 46.85/7.26 Y4) & 46.85/7.26 (( 46.85/7.26 ('#sk2' @ 46.85/7.26 Y4 @ 46.85/7.26 Y5) | 46.85/7.26 ('#sk1' @ 46.85/7.26 Y4 @ Y5))))) => 46.85/7.26 (Y3 @ Y5))))))))))) => 46.85/7.26 (Y3 @ Y2)))))))) => 46.85/7.26 (((!!) @ (^[Y3 : a > $o]: 46.85/7.26 (((((((!!) @ ( 46.85/7.26 ^[Y4 : a]: 46.85/7.26 ( 46.85/7.26 ( 46.85/7.26 (( 46.85/7.26 ('#sk2' @ 46.85/7.26 Y0 @ 46.85/7.26 Y4) | 46.85/7.26 ('#sk1' @ 46.85/7.26 Y0 @ Y4))) => 46.85/7.26 (Y3 @ Y4)))))) & 46.85/7.26 (((!!) @ ( 46.85/7.26 ^[Y4 : a]: 46.85/7.26 ( 46.85/7.26 ( 46.85/7.26 (!!) @ ( 46.85/7.26 ^[Y5 : a]: 46.85/7.26 (( 46.85/7.26 (( 46.85/7.26 (Y3 @ 46.85/7.26 Y4) & 46.85/7.26 (( 46.85/7.26 ('#sk2' @ 46.85/7.26 Y4 @ 46.85/7.26 Y5) | 46.85/7.26 ('#sk1' @ 46.85/7.26 Y4 @ Y5))))) => 46.85/7.26 (Y3 @ Y5))))))))))) => 46.85/7.26 (Y3 @ Y2))))))))))))))))) 46.85/7.26 | ~ (((!!) @ (^[Y0 : a]: 46.85/7.26 (((!!) @ (^[Y1 : a]: 46.85/7.26 (((((((!!) @ (^[Y2 : a > $o]: 46.85/7.26 (((((((!!) @ (^[Y3 : a]: 46.85/7.26 (((!!) @ ( 46.85/7.26 ^[Y4 : a]: 46.85/7.26 (( 46.85/7.26 (( 46.85/7.26 (Y2 @ 46.85/7.26 Y3) & 46.85/7.26 ('#sk2' @ 46.85/7.26 Y3 @ Y4))) => 46.85/7.26 (Y2 @ Y4))))))))) & 46.85/7.26 (((!!) @ (^[Y3 : a]: 46.85/7.26 ((('#sk2' @ 46.85/7.26 Y0 @ 46.85/7.26 Y3) => 46.85/7.26 (Y2 @ Y3)))))))) => 46.85/7.26 (Y2 @ Y1)))))) | 46.85/7.26 (((!!) @ (^[Y2 : a > $o]: 46.85/7.26 (((((((!!) @ (^[Y3 : a]: 46.85/7.26 ((('#sk1' @ 46.85/7.26 Y0 @ 46.85/7.26 Y3) => 46.85/7.26 (Y2 @ Y3)))))) & 46.85/7.26 (((!!) @ (^[Y3 : a]: 46.85/7.26 (((!!) @ ( 46.85/7.26 ^[Y4 : a]: 46.85/7.26 (( 46.85/7.26 (( 46.85/7.26 (Y2 @ 46.85/7.26 Y3) & 46.85/7.26 ('#sk1' @ 46.85/7.26 Y3 @ Y4))) => 46.85/7.26 (Y2 @ Y4))))))))))) => 46.85/7.26 (Y2 @ Y1)))))))) => 46.85/7.26 (((!!) @ (^[Y2 : a > $o]: 46.85/7.26 (((((((!!) @ (^[Y3 : a]: 46.85/7.26 ((((('#sk1' @ 46.85/7.26 Y0 @ 46.85/7.26 Y3) | 46.85/7.26 ('#sk2' @ 46.85/7.26 Y0 @ Y3))) => 46.85/7.26 (Y2 @ Y3)))))) & 46.85/7.26 (((!!) @ (^[Y3 : a]: 46.85/7.26 (((!!) @ ( 46.85/7.26 ^[Y4 : a]: 46.85/7.26 ( 46.85/7.26 ( 46.85/7.26 (( 46.85/7.26 (Y2 @ 46.85/7.26 Y3) & 46.85/7.26 (( 46.85/7.26 ('#sk2' @ 46.85/7.26 Y3 @ 46.85/7.26 Y4) | 46.85/7.26 ('#sk1' @ 46.85/7.26 Y3 @ Y4))))) => 46.85/7.26 (Y2 @ Y4))))))))))) => 46.85/7.26 (Y2 @ Y1)))))))))))))))), 46.85/7.26 inference('triggered_bool_instantiation', [status(thm)], 46.85/7.26 [zip_derived_cl11])). 46.85/7.26 thf(zip_derived_cl5, plain, 46.85/7.26 (~ (((!!) @ (^[Y0 : a > $o]: 46.85/7.26 (((((((!!) @ (^[Y1 : a]: 46.85/7.26 ((((('#sk1' @ '#sk3' @ Y1) | ('#sk2' @ 46.85/7.26 '#sk3' @ Y1))) => 46.85/7.26 (Y0 @ Y1)))))) & 46.85/7.26 (((!!) @ (^[Y1 : a]: 46.85/7.26 (((!!) @ (^[Y2 : a]: 46.85/7.26 ((((((('#sk2' @ Y1 @ Y2) | 46.85/7.26 ('#sk1' @ Y1 @ Y2))) & 46.85/7.26 (Y0 @ Y1))) => 46.85/7.26 (Y0 @ Y2))))))))))) => 46.85/7.26 (Y0 @ '#sk4'))))))), 46.85/7.26 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl4])). 46.85/7.26 thf(zip_derived_cl7, plain, 46.85/7.26 (~ (((((((!!) @ (^[Y0 : a]: 46.85/7.26 ((((('#sk1' @ '#sk3' @ Y0) | ('#sk2' @ '#sk3' @ Y0))) => 46.85/7.26 ('#sk5' @ Y0)))))) & 46.85/7.26 (((!!) @ (^[Y0 : a]: 46.85/7.26 (((!!) @ (^[Y1 : a]: 46.85/7.26 ((((((('#sk2' @ Y0 @ Y1) | ('#sk1' @ Y0 @ 46.85/7.26 Y1))) & 46.85/7.26 ('#sk5' @ Y0))) => 46.85/7.26 ('#sk5' @ Y1))))))))))) => 46.85/7.26 ('#sk5' @ '#sk4')))), 46.85/7.26 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl5])). 46.85/7.26 thf(zip_derived_cl10, plain, (~ ('#sk5' @ '#sk4')), 46.85/7.26 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl7])). 46.85/7.26 thf(zip_derived_cl189, plain, 46.85/7.26 (( (((((((!!) @ (^[Y0 : a]: 46.85/7.26 ((((('#sk1' @ '#sk3' @ Y0) | ('#sk2' @ '#sk3' @ Y0))) => 46.85/7.26 ('#sk5' @ Y0)))))) & 46.85/7.26 (((!!) @ (^[Y0 : a]: 46.85/7.26 (((!!) @ (^[Y1 : a]: 46.85/7.26 ((((((('#sk1' @ Y0 @ Y1) | ('#sk2' @ Y0 @ 46.85/7.26 Y1))) & 46.85/7.26 ('#sk5' @ Y0))) => 46.85/7.26 ('#sk5' @ Y1))))))))))) => 46.85/7.26 ($false))) 46.85/7.26 | ~ (((!!) @ (^[Y0 : a]: 46.85/7.26 (((!!) @ (^[Y1 : a]: 46.85/7.26 (((!!) @ (^[Y2 : a]: 46.85/7.26 (((((((!!) @ (^[Y3 : a > $o]: 46.85/7.26 (((((((!!) @ ( 46.85/7.26 ^[Y4 : a]: 46.85/7.26 (( 46.85/7.26 (( 46.85/7.26 ('#sk1' @ 46.85/7.26 Y0 @ 46.85/7.26 Y4) | 46.85/7.26 ('#sk2' @ 46.85/7.26 Y0 @ Y4))) => 46.85/7.26 (Y3 @ Y4)))))) & 46.85/7.26 (((!!) @ ( 46.85/7.26 ^[Y4 : a]: 46.85/7.26 (( 46.85/7.26 (!!) @ ( 46.85/7.26 ^[Y5 : a]: 46.85/7.26 (( 46.85/7.26 (( 46.85/7.26 (( 46.85/7.26 ('#sk1' @ 46.85/7.26 Y4 @ 46.85/7.26 Y5) | 46.85/7.26 ('#sk2' @ 46.85/7.26 Y4 @ Y5))) & 46.85/7.26 (Y3 @ Y4))) => 46.85/7.26 (Y3 @ Y5))))))))))) => 46.85/7.26 (Y3 @ Y1)))))) & 46.85/7.26 (((!!) @ (^[Y3 : a > $o]: 46.85/7.26 (((((((!!) @ ( 46.85/7.26 ^[Y4 : a]: 46.85/7.26 (( 46.85/7.26 (( 46.85/7.26 ('#sk1' @ 46.85/7.26 Y1 @ 46.85/7.26 Y4) | 46.85/7.26 ('#sk2' @ 46.85/7.26 Y1 @ Y4))) => 46.85/7.26 (Y3 @ Y4)))))) & 46.85/7.26 (((!!) @ ( 46.85/7.26 ^[Y4 : a]: 46.85/7.26 (( 46.85/7.26 (!!) @ ( 46.85/7.26 ^[Y5 : a]: 46.85/7.26 (( 46.85/7.26 (( 46.85/7.26 (Y3 @ 46.85/7.26 Y4) & 46.85/7.26 (( 46.85/7.26 ('#sk2' @ 46.85/7.26 Y4 @ 46.85/7.26 Y5) | 46.85/7.26 ('#sk1' @ 46.85/7.26 Y4 @ Y5))))) => 46.85/7.26 (Y3 @ Y5))))))))))) => 46.85/7.26 (Y3 @ Y2)))))))) => 46.85/7.26 (((!!) @ (^[Y3 : a > $o]: 46.85/7.26 (((((((!!) @ ( 46.85/7.26 ^[Y4 : a]: 46.85/7.26 ( 46.85/7.26 ( 46.85/7.26 (( 46.85/7.26 ('#sk2' @ 46.85/7.26 Y0 @ 46.85/7.26 Y4) | 46.85/7.26 ('#sk1' @ 46.85/7.26 Y0 @ Y4))) => 46.85/7.26 (Y3 @ Y4)))))) & 46.85/7.26 (((!!) @ ( 46.85/7.26 ^[Y4 : a]: 46.85/7.26 ( 46.85/7.26 ( 46.85/7.26 (!!) @ ( 46.85/7.26 ^[Y5 : a]: 46.85/7.26 (( 46.85/7.26 (( 46.85/7.26 (Y3 @ 46.85/7.26 Y4) & 46.85/7.26 (( 46.85/7.26 ('#sk2' @ 46.85/7.26 Y4 @ 46.85/7.26 Y5) | 46.85/7.26 ('#sk1' @ 46.85/7.26 Y4 @ Y5))))) => 46.85/7.26 (Y3 @ Y5))))))))))) => 46.85/7.26 (Y3 @ Y2))))))))))))))))) 46.85/7.26 | ~ (((!!) @ (^[Y0 : a]: 46.85/7.26 (((!!) @ (^[Y1 : a]: 46.85/7.26 (((((((!!) @ (^[Y2 : a > $o]: 46.85/7.26 (((((((!!) @ (^[Y3 : a]: 46.85/7.26 (((!!) @ ( 46.85/7.26 ^[Y4 : a]: 46.85/7.26 (( 46.85/7.26 (( 46.85/7.26 (Y2 @ 46.85/7.26 Y3) & 46.85/7.26 ('#sk2' @ 46.85/7.26 Y3 @ Y4))) => 46.85/7.26 (Y2 @ Y4))))))))) & 46.85/7.26 (((!!) @ (^[Y3 : a]: 46.85/7.26 ((('#sk2' @ 46.85/7.26 Y0 @ 46.85/7.26 Y3) => 46.85/7.26 (Y2 @ Y3)))))))) => 46.85/7.26 (Y2 @ Y1)))))) | 46.85/7.26 (((!!) @ (^[Y2 : a > $o]: 46.85/7.26 (((((((!!) @ (^[Y3 : a]: 46.85/7.26 ((('#sk1' @ 46.85/7.26 Y0 @ 46.85/7.26 Y3) => 46.85/7.26 (Y2 @ Y3)))))) & 46.85/7.26 (((!!) @ (^[Y3 : a]: 46.85/7.26 (((!!) @ ( 46.85/7.26 ^[Y4 : a]: 46.85/7.26 (( 46.85/7.26 (( 46.85/7.26 (Y2 @ 46.85/7.26 Y3) & 46.85/7.26 ('#sk1' @ 46.85/7.26 Y3 @ Y4))) => 46.85/7.26 (Y2 @ Y4))))))))))) => 46.85/7.26 (Y2 @ Y1)))))))) => 46.85/7.26 (((!!) @ (^[Y2 : a > $o]: 46.85/7.26 (((((((!!) @ (^[Y3 : a]: 46.85/7.26 ((((('#sk1' @ 46.85/7.26 Y0 @ 46.85/7.26 Y3) | 46.85/7.26 ('#sk2' @ 46.85/7.26 Y0 @ Y3))) => 46.85/7.26 (Y2 @ Y3)))))) & 46.85/7.26 (((!!) @ (^[Y3 : a]: 46.85/7.26 (((!!) @ ( 46.85/7.26 ^[Y4 : a]: 46.85/7.26 ( 46.85/7.26 ( 46.85/7.26 (( 46.85/7.26 (Y2 @ 46.85/7.26 Y3) & 46.85/7.26 (( 46.85/7.26 ('#sk2' @ 46.85/7.26 Y3 @ 46.85/7.26 Y4) | 46.85/7.26 ('#sk1' @ 46.85/7.26 Y3 @ Y4))))) => 46.85/7.26 (Y2 @ Y4))))))))))) => 46.85/7.26 (Y2 @ Y1)))))))))))))))), 46.85/7.26 inference('demod', [status(thm)], [zip_derived_cl12, zip_derived_cl10])). 46.85/7.26 thf(zip_derived_cl190, plain, 46.85/7.26 (( (((~) @ (((((!!) @ (^[Y0 : a]: 46.85/7.26 ((((('#sk1' @ '#sk3' @ Y0) | ('#sk2' @ '#sk3' @ 46.85/7.26 Y0))) => 46.85/7.26 ('#sk5' @ Y0)))))) & 46.85/7.26 (((!!) @ (^[Y0 : a]: 46.85/7.26 (((!!) @ (^[Y1 : a]: 46.85/7.26 ((((((('#sk1' @ Y0 @ Y1) | 46.85/7.26 ('#sk2' @ Y0 @ Y1))) & 46.85/7.26 ('#sk5' @ Y0))) => 46.85/7.26 ('#sk5' @ Y1))))))))))))) 46.85/7.26 | ~ (((!!) @ (^[Y0 : a]: 46.85/7.26 (((!!) @ (^[Y1 : a]: 46.85/7.26 (((!!) @ (^[Y2 : a]: 46.85/7.26 (((((((!!) @ (^[Y3 : a > $o]: 46.85/7.26 (((((((!!) @ ( 46.85/7.26 ^[Y4 : a]: 46.85/7.26 (( 46.85/7.26 (( 46.85/7.26 ('#sk1' @ 46.85/7.26 Y0 @ 46.85/7.26 Y4) | 46.85/7.26 ('#sk2' @ 46.85/7.26 Y0 @ Y4))) => 46.85/7.26 (Y3 @ Y4)))))) & 46.85/7.26 (((!!) @ ( 46.85/7.26 ^[Y4 : a]: 46.85/7.26 (( 46.85/7.26 (!!) @ ( 46.85/7.26 ^[Y5 : a]: 46.85/7.26 (( 46.85/7.26 (( 46.85/7.26 (( 46.85/7.26 ('#sk1' @ 46.85/7.26 Y4 @ 46.85/7.26 Y5) | 46.85/7.26 ('#sk2' @ 46.85/7.26 Y4 @ Y5))) & 46.85/7.26 (Y3 @ Y4))) => 46.85/7.26 (Y3 @ Y5))))))))))) => 46.85/7.26 (Y3 @ Y1)))))) & 46.85/7.26 (((!!) @ (^[Y3 : a > $o]: 46.85/7.26 (((((((!!) @ ( 46.85/7.26 ^[Y4 : a]: 46.85/7.26 (( 46.85/7.26 (( 46.85/7.26 ('#sk1' @ 46.85/7.26 Y1 @ 46.85/7.26 Y4) | 46.85/7.26 ('#sk2' @ 46.85/7.26 Y1 @ Y4))) => 46.85/7.26 (Y3 @ Y4)))))) & 46.85/7.26 (((!!) @ ( 46.85/7.26 ^[Y4 : a]: 46.85/7.26 (( 46.85/7.26 (!!) @ ( 46.85/7.26 ^[Y5 : a]: 46.85/7.26 (( 46.85/7.26 (( 46.85/7.26 (Y3 @ 46.85/7.26 Y4) & 46.85/7.26 (( 46.85/7.26 ('#sk2' @ 46.85/7.26 Y4 @ 46.85/7.26 Y5) | 46.85/7.26 ('#sk1' @ 46.85/7.26 Y4 @ Y5))))) => 46.85/7.26 (Y3 @ Y5))))))))))) => 46.85/7.26 (Y3 @ Y2)))))))) => 46.85/7.26 (((!!) @ (^[Y3 : a > $o]: 46.85/7.26 (((((((!!) @ ( 46.85/7.26 ^[Y4 : a]: 46.85/7.26 ( 46.85/7.26 ( 46.85/7.26 (( 46.85/7.26 ('#sk2' @ 46.85/7.26 Y0 @ 46.85/7.26 Y4) | 46.85/7.26 ('#sk1' @ 46.85/7.26 Y0 @ Y4))) => 46.85/7.26 (Y3 @ Y4)))))) & 46.85/7.26 (((!!) @ ( 46.85/7.26 ^[Y4 : a]: 46.85/7.26 ( 46.85/7.26 ( 46.85/7.26 (!!) @ ( 46.85/7.26 ^[Y5 : a]: 46.85/7.26 (( 46.85/7.26 (( 46.85/7.26 (Y3 @ 46.85/7.26 Y4) & 46.85/7.26 (( 46.85/7.26 ('#sk2' @ 46.85/7.26 Y4 @ 46.85/7.26 Y5) | 46.85/7.26 ('#sk1' @ 46.85/7.26 Y4 @ Y5))))) => 46.85/7.26 (Y3 @ Y5))))))))))) => 46.85/7.26 (Y3 @ Y2))))))))))))))))) 46.85/7.26 | ~ (((!!) @ (^[Y0 : a]: 46.85/7.26 (((!!) @ (^[Y1 : a]: 46.85/7.26 (((((((!!) @ (^[Y2 : a > $o]: 46.85/7.26 (((((((!!) @ (^[Y3 : a]: 46.85/7.26 (((!!) @ ( 46.85/7.26 ^[Y4 : a]: 46.85/7.26 (( 46.85/7.26 (( 46.85/7.26 (Y2 @ 46.85/7.26 Y3) & 46.85/7.26 ('#sk2' @ 46.85/7.26 Y3 @ Y4))) => 46.85/7.26 (Y2 @ Y4))))))))) & 46.85/7.26 (((!!) @ (^[Y3 : a]: 46.85/7.26 ((('#sk2' @ 46.85/7.26 Y0 @ 46.85/7.26 Y3) => 46.85/7.26 (Y2 @ Y3)))))))) => 46.85/7.26 (Y2 @ Y1)))))) | 46.85/7.26 (((!!) @ (^[Y2 : a > $o]: 46.85/7.26 (((((((!!) @ (^[Y3 : a]: 46.85/7.26 ((('#sk1' @ 46.85/7.26 Y0 @ 46.85/7.26 Y3) => 46.85/7.26 (Y2 @ Y3)))))) & 46.85/7.26 (((!!) @ (^[Y3 : a]: 46.85/7.26 (((!!) @ ( 46.85/7.26 ^[Y4 : a]: 46.85/7.26 (( 46.85/7.26 (( 46.85/7.26 (Y2 @ 46.85/7.26 Y3) & 46.85/7.26 ('#sk1' @ 46.85/7.26 Y3 @ Y4))) => 46.85/7.26 (Y2 @ Y4))))))))))) => 46.85/7.26 (Y2 @ Y1)))))))) => 46.85/7.26 (((!!) @ (^[Y2 : a > $o]: 46.85/7.26 (((((((!!) @ (^[Y3 : a]: 46.85/7.26 ((((('#sk1' @ 46.85/7.26 Y0 @ 46.85/7.26 Y3) | 46.85/7.26 ('#sk2' @ 46.85/7.26 Y0 @ Y3))) => 46.85/7.26 (Y2 @ Y3)))))) & 46.85/7.26 (((!!) @ (^[Y3 : a]: 46.85/7.26 (((!!) @ ( 46.85/7.26 ^[Y4 : a]: 46.85/7.26 ( 46.85/7.26 ( 46.85/7.26 (( 46.85/7.26 (Y2 @ 46.85/7.26 Y3) & 46.85/7.26 (( 46.85/7.26 ('#sk2' @ 46.85/7.26 Y3 @ 46.85/7.26 Y4) | 46.85/7.26 ('#sk1' @ 46.85/7.26 Y3 @ Y4))))) => 46.85/7.26 (Y2 @ Y4))))))))))) => 46.85/7.26 (Y2 @ Y1)))))))))))))))), 46.85/7.26 inference('simplify boolean subterms', [status(thm)], [zip_derived_cl189])). 46.85/7.26 thf(zip_derived_cl191, plain, 46.85/7.26 ((~ (((((!!) @ (^[Y0 : a]: 46.85/7.26 ((((('#sk1' @ '#sk3' @ Y0) | ('#sk2' @ '#sk3' @ Y0))) => 46.85/7.26 ('#sk5' @ Y0)))))) & 46.85/7.26 (((!!) @ (^[Y0 : a]: 46.85/7.26 (((!!) @ (^[Y1 : a]: 46.85/7.26 ((((((('#sk1' @ Y0 @ Y1) | ('#sk2' @ Y0 @ 46.85/7.26 Y1))) & 46.85/7.26 ('#sk5' @ Y0))) => 46.85/7.26 ('#sk5' @ Y1))))))))))) 46.85/7.26 | ~ (((!!) @ (^[Y0 : a]: 46.85/7.26 (((!!) @ (^[Y1 : a]: 46.85/7.26 (((!!) @ (^[Y2 : a]: 46.85/7.26 (((((((!!) @ (^[Y3 : a > $o]: 46.85/7.26 (((((((!!) @ ( 46.85/7.26 ^[Y4 : a]: 46.85/7.26 (( 46.85/7.26 (( 46.85/7.26 ('#sk1' @ 46.85/7.26 Y0 @ 46.85/7.26 Y4) | 46.85/7.26 ('#sk2' @ 46.85/7.26 Y0 @ Y4))) => 46.85/7.26 (Y3 @ Y4)))))) & 46.85/7.26 (((!!) @ ( 46.85/7.26 ^[Y4 : a]: 46.85/7.26 (( 46.85/7.26 (!!) @ ( 46.85/7.26 ^[Y5 : a]: 46.85/7.26 (( 46.85/7.26 (( 46.85/7.26 (( 46.85/7.26 ('#sk1' @ 46.85/7.26 Y4 @ 46.85/7.26 Y5) | 46.85/7.26 ('#sk2' @ 46.85/7.26 Y4 @ Y5))) & 46.85/7.26 (Y3 @ Y4))) => 46.85/7.26 (Y3 @ Y5))))))))))) => 46.85/7.26 (Y3 @ Y1)))))) & 46.85/7.26 (((!!) @ (^[Y3 : a > $o]: 46.85/7.26 (((((((!!) @ ( 46.85/7.26 ^[Y4 : a]: 46.85/7.26 (( 46.85/7.26 (( 46.85/7.26 ('#sk1' @ 46.85/7.26 Y1 @ 46.85/7.26 Y4) | 46.85/7.26 ('#sk2' @ 46.85/7.26 Y1 @ Y4))) => 46.85/7.26 (Y3 @ Y4)))))) & 46.85/7.26 (((!!) @ ( 46.85/7.26 ^[Y4 : a]: 46.85/7.26 (( 46.85/7.26 (!!) @ ( 46.85/7.26 ^[Y5 : a]: 46.85/7.26 (( 46.85/7.26 (( 46.85/7.26 (Y3 @ 46.85/7.26 Y4) & 46.85/7.26 (( 46.85/7.26 ('#sk2' @ 46.85/7.26 Y4 @ 46.85/7.26 Y5) | 46.85/7.26 ('#sk1' @ 46.85/7.26 Y4 @ Y5))))) => 46.85/7.26 (Y3 @ Y5))))))))))) => 46.85/7.26 (Y3 @ Y2)))))))) => 46.85/7.26 (((!!) @ (^[Y3 : a > $o]: 46.85/7.26 (((((((!!) @ ( 46.85/7.26 ^[Y4 : a]: 46.85/7.26 ( 46.85/7.26 ( 46.85/7.26 (( 46.85/7.26 ('#sk2' @ 46.85/7.26 Y0 @ 46.85/7.26 Y4) | 46.85/7.26 ('#sk1' @ 46.85/7.26 Y0 @ Y4))) => 46.85/7.26 (Y3 @ Y4)))))) & 46.85/7.26 (((!!) @ ( 46.85/7.26 ^[Y4 : a]: 46.85/7.26 ( 46.85/7.26 ( 46.85/7.26 (!!) @ ( 46.85/7.26 ^[Y5 : a]: 46.85/7.26 (( 46.85/7.26 (( 46.85/7.26 (Y3 @ 46.85/7.26 Y4) & 46.85/7.26 (( 46.85/7.26 ('#sk2' @ 46.85/7.26 Y4 @ 46.85/7.26 Y5) | 46.85/7.26 ('#sk1' @ 46.85/7.26 Y4 @ Y5))))) => 46.85/7.26 (Y3 @ Y5))))))))))) => 46.85/7.26 (Y3 @ Y2))))))))))))))))) 46.85/7.26 | ~ (((!!) @ (^[Y0 : a]: 46.85/7.26 (((!!) @ (^[Y1 : a]: 46.85/7.26 (((((((!!) @ (^[Y2 : a > $o]: 46.85/7.26 (((((((!!) @ (^[Y3 : a]: 46.85/7.26 (((!!) @ ( 46.85/7.26 ^[Y4 : a]: 46.85/7.26 (( 46.85/7.26 (( 46.85/7.26 (Y2 @ 46.85/7.26 Y3) & 46.85/7.26 ('#sk2' @ 46.85/7.26 Y3 @ Y4))) => 46.85/7.26 (Y2 @ Y4))))))))) & 46.85/7.26 (((!!) @ (^[Y3 : a]: 46.85/7.26 ((('#sk2' @ 46.85/7.26 Y0 @ 46.85/7.26 Y3) => 46.85/7.26 (Y2 @ Y3)))))))) => 46.85/7.26 (Y2 @ Y1)))))) | 46.85/7.26 (((!!) @ (^[Y2 : a > $o]: 46.85/7.26 (((((((!!) @ (^[Y3 : a]: 46.85/7.26 ((('#sk1' @ 46.85/7.26 Y0 @ 46.85/7.26 Y3) => 46.85/7.26 (Y2 @ Y3)))))) & 46.85/7.26 (((!!) @ (^[Y3 : a]: 46.85/7.26 (((!!) @ ( 46.85/7.26 ^[Y4 : a]: 46.85/7.26 (( 46.85/7.26 (( 46.85/7.26 (Y2 @ 46.85/7.26 Y3) & 46.85/7.26 ('#sk1' @ 46.85/7.26 Y3 @ Y4))) => 46.85/7.26 (Y2 @ Y4))))))))))) => 46.85/7.26 (Y2 @ Y1)))))))) => 46.85/7.26 (((!!) @ (^[Y2 : a > $o]: 46.85/7.26 (((((((!!) @ (^[Y3 : a]: 46.85/7.26 ((((('#sk1' @ 46.85/7.26 Y0 @ 46.85/7.26 Y3) | 46.85/7.26 ('#sk2' @ 46.85/7.26 Y0 @ Y3))) => 46.85/7.26 (Y2 @ Y3)))))) & 46.85/7.26 (((!!) @ (^[Y3 : a]: 46.85/7.26 (((!!) @ ( 46.85/7.26 ^[Y4 : a]: 46.85/7.26 ( 46.85/7.26 ( 46.85/7.26 (( 46.85/7.26 (Y2 @ 46.85/7.26 Y3) & 46.85/7.26 (( 46.85/7.26 ('#sk2' @ 46.85/7.26 Y3 @ 46.85/7.26 Y4) | 46.85/7.26 ('#sk1' @ 46.85/7.26 Y3 @ Y4))))) => 46.85/7.26 (Y2 @ Y4))))))))))) => 46.85/7.26 (Y2 @ Y1)))))))))))))))), 46.85/7.26 inference('simplify nested equalities', [status(thm)], 46.85/7.26 [zip_derived_cl190])). 46.85/7.26 thf(zip_derived_cl28, plain, 46.85/7.26 (( 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46.85/7.26 | ~ (X2 @ ('#sk15' @ X2)))), 46.85/7.26 inference('renaming', [status(thm)], [zip_derived_cl26, zip_derived_cl28])). 46.85/7.26 thf(zip_derived_cl34, plain, 46.85/7.26 (( ('#form34') 46.85/7.26 | ~ (((!!) @ (^[Y0 : a]: 46.85/7.26 (((!!) @ (^[Y1 : a]: 46.85/7.26 (((((((!!) @ (^[Y2 : a > $o]: 46.85/7.26 (((((((!!) @ (^[Y3 : a]: 46.85/7.26 (((!!) @ ( 46.85/7.26 ^[Y4 : a]: 46.85/7.26 (( 46.85/7.26 (( 46.85/7.26 (Y2 @ 46.85/7.26 Y3) & 46.85/7.26 ('#sk2' @ 46.85/7.26 Y3 @ Y4))) => 46.85/7.26 (Y2 @ Y4))))))))) & 46.85/7.26 (((!!) @ (^[Y3 : a]: 46.85/7.26 ((('#sk2' @ 46.85/7.26 Y0 @ 46.85/7.26 Y3) => 46.85/7.26 (Y2 @ Y3)))))))) => 46.85/7.26 (Y2 @ Y1)))))) | 46.85/7.26 (((!!) @ (^[Y2 : a > $o]: 46.85/7.26 (((((((!!) @ (^[Y3 : a]: 46.85/7.26 ((('#sk1' @ 46.85/7.26 Y0 @ 46.85/7.26 Y3) => 46.85/7.26 (Y2 @ Y3)))))) & 46.85/7.26 (((!!) @ (^[Y3 : a]: 46.85/7.26 (((!!) @ ( 46.85/7.26 ^[Y4 : a]: 46.85/7.26 (( 46.85/7.26 (( 46.85/7.26 (Y2 @ 46.85/7.26 Y3) & 46.85/7.26 ('#sk1' @ 46.85/7.26 Y3 @ Y4))) => 46.85/7.26 (Y2 @ Y4))))))))))) => 46.85/7.26 (Y2 @ Y1)))))))) => 46.85/7.26 (((!!) @ (^[Y2 : a > $o]: 46.85/7.26 (((((((!!) @ (^[Y3 : a]: 46.85/7.26 ((((('#sk1' @ 46.85/7.26 Y0 @ 46.85/7.26 Y3) | 46.85/7.26 ('#sk2' @ 46.85/7.26 Y0 @ Y3))) => 46.85/7.26 (Y2 @ Y3)))))) & 46.85/7.26 (((!!) @ (^[Y3 : a]: 46.85/7.26 (((!!) @ ( 46.85/7.26 ^[Y4 : a]: 46.85/7.26 ( 46.85/7.26 ( 46.85/7.26 (( 46.85/7.26 (Y2 @ 46.85/7.26 Y3) & 46.85/7.26 (( 46.85/7.26 ('#sk2' @ 46.85/7.26 Y3 @ 46.85/7.26 Y4) | 46.85/7.26 ('#sk1' @ 46.85/7.26 Y3 @ Y4))))) => 46.85/7.26 (Y2 @ Y4))))))))))) => 46.85/7.26 (Y2 @ Y1)))))))))))))))), 46.85/7.26 define([status(thm)])). 46.85/7.26 thf(zip_derived_cl38, plain, 46.85/7.26 (![X2 : a > $o]: 46.85/7.26 (~ ('#form34') 46.85/7.26 | ~ (X2 @ ('#sk15' @ X2)) 46.85/7.26 | ~ (((!!) @ (^[Y0 : a]: 46.85/7.26 (((!!) @ (^[Y1 : a]: 46.85/7.26 ((((((('#sk1' @ Y0 @ Y1) | ('#sk2' @ 46.85/7.26 Y0 @ Y1))) & 46.85/7.26 (X2 @ Y0))) => 46.85/7.26 (X2 @ Y1))))))))) 46.85/7.26 | (X2 @ '#sk4') 46.85/7.26 | ~ ('#form25'))), 46.85/7.26 inference('renaming', [status(thm)], [zip_derived_cl31, zip_derived_cl34])). 46.85/7.26 thf(zip_derived_cl42, plain, 46.85/7.26 (![X2 : a > $o]: 46.85/7.26 ( ('#form49' @ X2) 46.85/7.26 | ~ (((!!) @ (^[Y0 : a]: 46.85/7.26 (((!!) @ (^[Y1 : a]: 46.85/7.26 ((((((('#sk1' @ Y0 @ Y1) | ('#sk2' @ 46.85/7.26 Y0 @ Y1))) & 46.85/7.26 (X2 @ Y0))) => 46.85/7.26 (X2 @ Y1))))))))))), 46.85/7.26 define([status(thm)])). 46.85/7.26 thf(zip_derived_cl195, plain, 46.85/7.26 ((~ ('#form49' @ '#sk5') 46.85/7.26 | ~ ('#form34') 46.85/7.26 | ~ ('#form25') 46.85/7.26 | ~ (((!!) @ (^[Y0 : a]: 46.85/7.26 ((((('#sk1' @ '#sk3' @ Y0) | ('#sk2' @ '#sk3' @ Y0))) => 46.85/7.26 ('#sk5' @ Y0)))))))), 46.85/7.26 inference('renaming', [status(thm)], 46.85/7.26 [zip_derived_cl194, zip_derived_cl42])). 46.85/7.26 thf(zip_derived_cl196, plain, 46.85/7.26 ((~ ((((('#sk1' @ '#sk3' @ ('#sk15' @ '#sk5')) | ('#sk2' @ '#sk3' @ 46.85/7.26 ('#sk15' @ '#sk5')))) => 46.85/7.26 ('#sk5' @ ('#sk15' @ '#sk5')))) 46.85/7.26 | ~ ('#form25') 46.85/7.26 | ~ ('#form34') 46.85/7.26 | ~ ('#form49' @ '#sk5'))), 46.85/7.26 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl195])). 46.85/7.26 thf(zip_derived_cl197, plain, 46.85/7.26 (( ((('#sk1' @ '#sk3' @ ('#sk15' @ '#sk5')) | ('#sk2' @ '#sk3' @ 46.85/7.26 ('#sk15' @ '#sk5')))) 46.85/7.26 | ~ ('#form49' @ '#sk5') 46.85/7.26 | ~ ('#form34') 46.85/7.26 | ~ ('#form25'))), 46.85/7.26 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl196])). 46.85/7.26 thf(zip_derived_cl199, plain, 46.85/7.26 (( ('#sk1' @ '#sk3' @ ('#sk15' @ '#sk5')) 46.85/7.26 | ('#sk2' @ '#sk3' @ ('#sk15' @ '#sk5')) 46.85/7.26 | ~ ('#form25') 46.85/7.26 | ~ ('#form34') 46.85/7.26 | ~ ('#form49' @ '#sk5'))), 46.85/7.26 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl197])). 46.85/7.26 thf(zip_derived_cl71, plain, 46.85/7.26 (![X2 : a > $o]: 46.85/7.26 ( (((((((!!) @ (^[Y0 : a]: 46.85/7.26 ((((('#sk1' @ '#sk36' @ Y0) | ('#sk2' @ '#sk36' @ 46.85/7.26 Y0))) => 46.85/7.26 (X2 @ Y0)))))) & 46.85/7.26 (((!!) @ (^[Y0 : a]: 46.85/7.26 (((!!) @ (^[Y1 : a]: 46.85/7.26 (((((X2 @ Y0) & 46.85/7.26 ((('#sk2' @ Y0 @ Y1) | ('#sk1' @ 46.85/7.26 Y0 @ Y1))))) => 46.85/7.26 (X2 @ Y1))))))))))) => 46.85/7.26 (X2 @ '#sk45'))) 46.85/7.26 | ('#form25'))), 46.85/7.26 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl56])). 46.85/7.26 thf(zip_derived_cl72, plain, 46.85/7.26 (( (((((((!!) @ (^[Y0 : a]: 46.85/7.26 ((((('#sk1' @ '#sk36' @ Y0) | ('#sk2' @ '#sk36' @ Y0))) => 46.85/7.26 ('#sk70' @ Y0)))))) & 46.85/7.26 (((!!) @ (^[Y0 : a]: 46.85/7.26 (((!!) @ (^[Y1 : a]: 46.85/7.26 ((((('#sk70' @ Y0) & 46.85/7.26 ((('#sk2' @ Y0 @ Y1) | ('#sk1' @ Y0 @ 46.85/7.26 Y1))))) => 46.85/7.26 ('#sk70' @ Y1))))))))))) => 46.85/7.26 ('#sk70' @ '#sk45'))) 46.85/7.26 | ('#form25'))), 46.85/7.26 inference('triggered_bool_instantiation', [status(thm)], 46.85/7.26 [zip_derived_cl71])). 46.85/7.26 thf(zip_derived_cl255, plain, 46.85/7.26 ((~ (((((!!) @ (^[Y0 : a]: 46.85/7.26 ((((('#sk1' @ '#sk36' @ Y0) | ('#sk2' @ '#sk36' @ Y0))) => 46.85/7.26 ('#sk70' @ Y0)))))) & 46.85/7.26 (((!!) @ (^[Y0 : a]: 46.85/7.26 (((!!) @ (^[Y1 : a]: 46.85/7.26 ((((('#sk70' @ Y0) & 46.85/7.26 ((('#sk2' @ Y0 @ Y1) | ('#sk1' @ Y0 @ 46.85/7.26 Y1))))) => 46.85/7.26 ('#sk70' @ Y1))))))))))) 46.85/7.26 | ('#sk70' @ '#sk45') 46.85/7.26 | ('#form25'))), 46.85/7.26 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl72])). 46.85/7.26 thf(zip_derived_cl76, plain, ((~ ('#sk70' @ '#sk45') | ('#form25'))), 46.85/7.26 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl58])). 46.85/7.26 thf(zip_derived_cl256, plain, 46.85/7.26 (( ('#form25') 46.85/7.26 | ~ (((((!!) @ (^[Y0 : a]: 46.85/7.26 ((((('#sk1' @ '#sk36' @ Y0) | ('#sk2' @ '#sk36' @ Y0))) => 46.85/7.26 ('#sk70' @ Y0)))))) & 46.85/7.26 (((!!) @ (^[Y0 : a]: 46.85/7.26 (((!!) @ (^[Y1 : a]: 46.85/7.26 ((((('#sk70' @ Y0) & 46.85/7.26 ((('#sk2' @ Y0 @ Y1) | ('#sk1' @ 46.85/7.26 Y0 @ Y1))))) => 46.85/7.26 ('#sk70' @ Y1))))))))))))), 46.85/7.26 inference('clc', [status(thm)], [zip_derived_cl255, zip_derived_cl76])). 46.85/7.26 thf(zip_derived_cl257, plain, 46.85/7.26 ((~ (((!!) @ (^[Y0 : a]: 46.85/7.26 ((((('#sk1' @ '#sk36' @ Y0) | ('#sk2' @ '#sk36' @ Y0))) => 46.85/7.26 ('#sk70' @ Y0)))))) 46.85/7.26 | ~ (((!!) @ (^[Y0 : a]: 46.85/7.26 (((!!) @ (^[Y1 : a]: 46.85/7.26 ((((('#sk70' @ Y0) & 46.85/7.26 ((('#sk2' @ Y0 @ Y1) | ('#sk1' @ Y0 @ 46.85/7.26 Y1))))) => 46.85/7.26 ('#sk70' @ Y1))))))))) 46.85/7.26 | ('#form25'))), 46.85/7.26 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl256])). 46.85/7.26 thf(zip_derived_cl258, plain, 46.85/7.26 ((~ ((((('#sk1' @ '#sk36' @ ('#sk132' @ '#sk70')) | ('#sk2' @ '#sk36' @ 46.85/7.26 ('#sk132' @ '#sk70')))) => 46.85/7.26 ('#sk70' @ ('#sk132' @ '#sk70')))) 46.85/7.26 | ('#form25') 46.85/7.26 | ~ (((!!) @ (^[Y0 : a]: 46.85/7.26 (((!!) @ (^[Y1 : a]: 46.85/7.26 ((((('#sk70' @ Y0) & 46.85/7.26 ((('#sk2' @ Y0 @ Y1) | ('#sk1' @ Y0 @ 46.85/7.26 Y1))))) => 46.85/7.26 ('#sk70' @ Y1))))))))))), 46.85/7.26 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl257])). 46.85/7.26 thf(zip_derived_cl259, plain, 46.85/7.26 (( ((('#sk1' @ '#sk36' @ ('#sk132' @ '#sk70')) | ('#sk2' @ '#sk36' @ 46.85/7.26 ('#sk132' @ '#sk70')))) 46.85/7.26 | ~ (((!!) @ (^[Y0 : a]: 46.85/7.26 (((!!) @ (^[Y1 : a]: 46.85/7.26 ((((('#sk70' @ Y0) & 46.85/7.26 ((('#sk2' @ Y0 @ Y1) | ('#sk1' @ Y0 @ 46.85/7.26 Y1))))) => 46.85/7.26 ('#sk70' @ Y1))))))))) 46.85/7.26 | ('#form25'))), 46.85/7.26 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl258])). 46.85/7.26 thf(zip_derived_cl261, plain, 46.85/7.26 (( ('#sk1' @ '#sk36' @ ('#sk132' @ '#sk70')) 46.85/7.26 | ('#sk2' @ '#sk36' @ ('#sk132' @ '#sk70')) 46.85/7.26 | ('#form25') 46.85/7.26 | ~ (((!!) @ (^[Y0 : a]: 46.85/7.26 (((!!) @ (^[Y1 : a]: 46.85/7.26 ((((('#sk70' @ Y0) & 46.85/7.26 ((('#sk2' @ Y0 @ Y1) | ('#sk1' @ Y0 @ 46.85/7.26 Y1))))) => 46.85/7.26 ('#sk70' @ Y1))))))))))), 46.85/7.26 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl259])). 46.85/7.26 thf(zip_derived_cl263, plain, 46.85/7.26 ((~ (((!!) @ (^[Y0 : a]: 46.85/7.26 ((((('#sk70' @ ('#sk171' @ '#sk70')) & 46.85/7.26 ((('#sk2' @ ('#sk171' @ '#sk70') @ Y0) | ('#sk1' @ 46.85/7.26 ('#sk171' @ '#sk70') @ Y0))))) => 46.85/7.26 ('#sk70' @ Y0)))))) 46.85/7.26 | ('#form25') 46.85/7.26 | ('#sk2' @ '#sk36' @ ('#sk132' @ '#sk70')) 46.85/7.26 | ('#sk1' @ '#sk36' @ ('#sk132' @ '#sk70')))), 46.85/7.26 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl261])). 46.85/7.26 thf(zip_derived_cl265, plain, 46.85/7.26 ((~ ((((('#sk70' @ ('#sk171' @ '#sk70')) & 46.85/7.26 ((('#sk2' @ ('#sk171' @ '#sk70') @ ('#sk198' @ '#sk70')) | 46.85/7.26 ('#sk1' @ ('#sk171' @ '#sk70') @ ('#sk198' @ '#sk70')))))) => 46.85/7.26 ('#sk70' @ ('#sk198' @ '#sk70')))) 46.85/7.26 | ('#sk1' @ '#sk36' @ ('#sk132' @ '#sk70')) 46.85/7.26 | ('#sk2' @ '#sk36' @ ('#sk132' @ '#sk70')) 46.85/7.26 | ('#form25'))), 46.85/7.26 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl263])). 46.85/7.26 thf(zip_derived_cl268, plain, 46.85/7.26 (( ((('#sk70' @ ('#sk171' @ '#sk70')) & 46.85/7.26 ((('#sk2' @ ('#sk171' @ '#sk70') @ ('#sk198' @ '#sk70')) | 46.85/7.26 ('#sk1' @ ('#sk171' @ '#sk70') @ ('#sk198' @ '#sk70')))))) 46.85/7.26 | ('#form25') 46.85/7.26 | ('#sk2' @ '#sk36' @ ('#sk132' @ '#sk70')) 46.85/7.26 | ('#sk1' @ '#sk36' @ ('#sk132' @ '#sk70')))), 46.85/7.26 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl265])). 46.85/7.26 thf(zip_derived_cl272, plain, 46.85/7.26 (( ('#sk70' @ ('#sk171' @ '#sk70')) 46.85/7.26 | ('#sk1' @ '#sk36' @ ('#sk132' @ '#sk70')) 46.85/7.26 | ('#sk2' @ '#sk36' @ ('#sk132' @ '#sk70')) 46.85/7.26 | ('#form25'))), 46.85/7.26 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl268])). 46.85/7.26 thf(zip_derived_cl34, plain, 46.85/7.26 (( ('#form34') 46.85/7.26 | ~ (((!!) @ (^[Y0 : a]: 46.85/7.26 (((!!) @ (^[Y1 : a]: 46.85/7.26 (((((((!!) @ (^[Y2 : a > $o]: 46.85/7.26 (((((((!!) @ (^[Y3 : a]: 46.85/7.26 (((!!) @ ( 46.85/7.26 ^[Y4 : a]: 46.85/7.26 (( 46.85/7.26 (( 46.85/7.26 (Y2 @ 46.85/7.26 Y3) & 46.85/7.26 ('#sk2' @ 46.85/7.26 Y3 @ Y4))) => 46.85/7.26 (Y2 @ Y4))))))))) & 46.85/7.26 (((!!) @ (^[Y3 : a]: 46.85/7.26 ((('#sk2' @ 46.85/7.26 Y0 @ 46.85/7.26 Y3) => 46.85/7.26 (Y2 @ Y3)))))))) => 46.85/7.26 (Y2 @ Y1)))))) | 46.85/7.26 (((!!) @ (^[Y2 : a > $o]: 46.85/7.26 (((((((!!) @ (^[Y3 : a]: 46.85/7.26 ((('#sk1' @ 46.85/7.26 Y0 @ 46.85/7.26 Y3) => 46.85/7.26 (Y2 @ Y3)))))) & 46.85/7.26 (((!!) @ (^[Y3 : a]: 46.85/7.26 (((!!) @ ( 46.85/7.26 ^[Y4 : a]: 46.85/7.26 (( 46.85/7.26 (( 46.85/7.26 (Y2 @ 46.85/7.26 Y3) & 46.85/7.26 ('#sk1' @ 46.85/7.26 Y3 @ Y4))) => 46.85/7.26 (Y2 @ Y4))))))))))) => 46.85/7.26 (Y2 @ Y1)))))))) => 46.85/7.26 (((!!) @ (^[Y2 : a > $o]: 46.85/7.26 (((((((!!) @ (^[Y3 : a]: 46.85/7.26 ((((('#sk1' @ 46.85/7.26 Y0 @ 46.85/7.26 Y3) | 46.85/7.26 ('#sk2' @ 46.85/7.26 Y0 @ Y3))) => 46.85/7.26 (Y2 @ Y3)))))) & 46.85/7.26 (((!!) @ (^[Y3 : a]: 46.85/7.26 (((!!) @ ( 46.85/7.26 ^[Y4 : a]: 46.85/7.26 ( 46.85/7.26 ( 46.85/7.26 (( 46.85/7.26 (Y2 @ 46.85/7.26 Y3) & 46.85/7.26 (( 46.85/7.26 ('#sk2' @ 46.85/7.26 Y3 @ 46.85/7.26 Y4) | 46.85/7.26 ('#sk1' @ 46.85/7.26 Y3 @ Y4))))) => 46.85/7.26 (Y2 @ Y4))))))))))) => 46.85/7.26 (Y2 @ Y1)))))))))))))))), 46.85/7.26 define([status(thm)])). 46.85/7.26 thf(zip_derived_cl35, plain, 46.85/7.26 ((~ (((!!) @ (^[Y0 : a]: 46.85/7.26 (((((((!!) @ (^[Y1 : a > $o]: 46.85/7.26 (((((((!!) @ (^[Y2 : a]: 46.85/7.26 (((!!) @ (^[Y3 : a]: 46.85/7.26 (((((Y1 @ 46.85/7.26 Y2) & 46.85/7.26 ('#sk2' @ 46.85/7.26 Y2 @ Y3))) => 46.85/7.26 (Y1 @ Y3))))))))) & 46.85/7.26 (((!!) @ (^[Y2 : a]: 46.85/7.26 ((('#sk2' @ '#sk35' @ 46.85/7.26 Y2) => (Y1 @ Y2)))))))) => 46.85/7.26 (Y1 @ Y0)))))) | 46.85/7.26 (((!!) @ (^[Y1 : a > $o]: 46.85/7.26 (((((((!!) @ (^[Y2 : a]: 46.85/7.26 ((('#sk1' @ '#sk35' @ 46.85/7.26 Y2) => (Y1 @ Y2)))))) & 46.85/7.26 (((!!) @ (^[Y2 : a]: 46.85/7.26 (((!!) @ (^[Y3 : a]: 46.85/7.26 (((((Y1 @ 46.85/7.26 Y2) & 46.85/7.26 ('#sk1' @ 46.85/7.26 Y2 @ Y3))) => 46.85/7.26 (Y1 @ Y3))))))))))) => 46.85/7.26 (Y1 @ Y0)))))))) => 46.85/7.26 (((!!) @ (^[Y1 : a > $o]: 46.85/7.26 (((((((!!) @ (^[Y2 : a]: 46.85/7.26 ((((('#sk1' @ '#sk35' @ 46.85/7.26 Y2) | ('#sk2' @ 46.85/7.26 '#sk35' @ Y2))) => 46.85/7.26 (Y1 @ Y2)))))) & 46.85/7.26 (((!!) @ (^[Y2 : a]: 46.85/7.26 (((!!) @ (^[Y3 : a]: 46.85/7.26 (((((Y1 @ Y2) & 46.85/7.26 ((('#sk2' @ 46.85/7.26 Y2 @ 46.85/7.26 Y3) | 46.85/7.26 ('#sk1' @ 46.85/7.26 Y2 @ Y3))))) => 46.85/7.26 (Y1 @ Y3))))))))))) => 46.85/7.26 (Y1 @ Y0))))))))))) 46.85/7.26 | ('#form34'))), 46.85/7.26 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl34])). 46.85/7.26 thf(zip_derived_cl40, plain, 46.85/7.26 ((~ (((((((!!) @ (^[Y0 : a > $o]: 46.85/7.26 (((((((!!) @ (^[Y1 : a]: 46.85/7.26 (((!!) @ (^[Y2 : a]: 46.85/7.26 (((((Y0 @ Y1) & 46.85/7.26 ('#sk2' @ Y1 @ Y2))) => 46.85/7.26 (Y0 @ Y2))))))))) & 46.85/7.26 (((!!) @ (^[Y1 : a]: 46.85/7.26 ((('#sk2' @ '#sk35' @ Y1) => (Y0 @ 46.85/7.26 Y1)))))))) => 46.85/7.26 (Y0 @ '#sk44')))))) | 46.85/7.26 (((!!) @ (^[Y0 : a > $o]: 46.85/7.26 (((((((!!) @ (^[Y1 : a]: 46.85/7.26 ((('#sk1' @ '#sk35' @ Y1) => (Y0 @ 46.85/7.26 Y1)))))) & 46.85/7.26 (((!!) @ (^[Y1 : a]: 46.85/7.26 (((!!) @ (^[Y2 : a]: 46.85/7.26 (((((Y0 @ Y1) & 46.85/7.26 ('#sk1' @ Y1 @ Y2))) => 46.85/7.26 (Y0 @ Y2))))))))))) => 46.85/7.26 (Y0 @ '#sk44')))))))) => 46.85/7.26 (((!!) @ (^[Y0 : a > $o]: 46.85/7.26 (((((((!!) @ (^[Y1 : a]: 46.85/7.26 ((((('#sk1' @ '#sk35' @ Y1) | 46.85/7.26 ('#sk2' @ '#sk35' @ Y1))) => 46.85/7.26 (Y0 @ Y1)))))) & 46.85/7.26 (((!!) @ (^[Y1 : a]: 46.85/7.26 (((!!) @ (^[Y2 : a]: 46.85/7.26 (((((Y0 @ Y1) & 46.85/7.26 ((('#sk2' @ Y1 @ Y2) | 46.85/7.26 ('#sk1' @ Y1 @ Y2))))) => 46.85/7.26 (Y0 @ Y2))))))))))) => 46.85/7.26 (Y0 @ '#sk44')))))))) 46.85/7.26 | ('#form34'))), 46.85/7.26 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl35])). 46.85/7.26 thf(zip_derived_cl46, plain, 46.85/7.26 (( (((((!!) @ (^[Y0 : a > $o]: 46.85/7.26 (((((((!!) @ (^[Y1 : a]: 46.85/7.26 (((!!) @ (^[Y2 : a]: 46.85/7.26 (((((Y0 @ Y1) & ('#sk2' @ 46.85/7.26 Y1 @ Y2))) => 46.85/7.26 (Y0 @ Y2))))))))) & 46.85/7.26 (((!!) @ (^[Y1 : a]: 46.85/7.26 ((('#sk2' @ '#sk35' @ Y1) => (Y0 @ Y1)))))))) => 46.85/7.26 (Y0 @ '#sk44')))))) | 46.85/7.26 (((!!) @ (^[Y0 : a > $o]: 46.85/7.26 (((((((!!) @ (^[Y1 : a]: 46.85/7.26 ((('#sk1' @ '#sk35' @ Y1) => (Y0 @ Y1)))))) & 46.85/7.26 (((!!) @ (^[Y1 : a]: 46.85/7.26 (((!!) @ (^[Y2 : a]: 46.85/7.26 (((((Y0 @ Y1) & ('#sk1' @ 46.85/7.26 Y1 @ Y2))) => 46.85/7.26 (Y0 @ Y2))))))))))) => 46.85/7.26 (Y0 @ '#sk44')))))))) 46.85/7.26 | ('#form34'))), 46.85/7.26 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl40])). 46.85/7.26 thf(zip_derived_cl52, plain, 46.85/7.26 (( (((!!) @ (^[Y0 : a > $o]: 46.85/7.26 (((((((!!) @ (^[Y1 : a]: 46.85/7.26 (((!!) @ (^[Y2 : a]: 46.85/7.26 (((((Y0 @ Y1) & ('#sk2' @ 46.85/7.26 Y1 @ Y2))) => 46.85/7.26 (Y0 @ Y2))))))))) & 46.85/7.26 (((!!) @ (^[Y1 : a]: 46.85/7.26 ((('#sk2' @ '#sk35' @ Y1) => (Y0 @ Y1)))))))) => 46.85/7.26 (Y0 @ '#sk44')))))) 46.85/7.26 | (((!!) @ (^[Y0 : a > $o]: 46.85/7.26 (((((((!!) @ (^[Y1 : a]: 46.85/7.26 ((('#sk1' @ '#sk35' @ Y1) => (Y0 @ Y1)))))) & 46.85/7.26 (((!!) @ (^[Y1 : a]: 46.85/7.26 (((!!) @ (^[Y2 : a]: 46.85/7.26 (((((Y0 @ Y1) & ('#sk1' @ 46.85/7.26 Y1 @ Y2))) => 46.85/7.26 (Y0 @ Y2))))))))))) => 46.85/7.26 (Y0 @ '#sk44')))))) 46.85/7.26 | ('#form34'))), 46.85/7.26 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl46])). 46.85/7.26 thf(zip_derived_cl61, plain, 46.85/7.26 (![X2 : a > $o]: 46.85/7.26 ( (((((((!!) @ (^[Y0 : a]: 46.85/7.26 (((!!) @ (^[Y1 : a]: 46.85/7.26 (((((X2 @ Y0) & ('#sk2' @ Y0 @ Y1))) => 46.85/7.26 (X2 @ Y1))))))))) & 46.85/7.26 (((!!) @ (^[Y0 : a]: ((('#sk2' @ '#sk35' @ Y0) => (X2 @ Y0)))))))) => 46.85/7.26 (X2 @ '#sk44'))) 46.85/7.26 | ('#form34') 46.85/7.26 | (((!!) @ (^[Y0 : a > $o]: 46.85/7.26 (((((((!!) @ (^[Y1 : a]: 46.85/7.26 ((('#sk1' @ '#sk35' @ Y1) => (Y0 @ Y1)))))) & 46.85/7.26 (((!!) @ (^[Y1 : a]: 46.85/7.26 (((!!) @ (^[Y2 : a]: 46.85/7.26 (((((Y0 @ Y1) & ('#sk1' @ 46.85/7.26 Y1 @ Y2))) => 46.85/7.26 (Y0 @ Y2))))))))))) => 46.85/7.26 (Y0 @ '#sk44')))))))), 46.85/7.26 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl52])). 46.85/7.26 thf(zip_derived_cl79, plain, 46.85/7.26 ((~ ('#form89') 46.85/7.26 | (((!!) @ (^[Y0 : a > $o]: 46.85/7.26 (((((((!!) @ (^[Y1 : a]: 46.85/7.26 ((('#sk1' @ '#sk35' @ Y1) => (Y0 @ Y1)))))) & 46.85/7.26 (((!!) @ (^[Y1 : a]: 46.85/7.26 (((!!) @ (^[Y2 : a]: 46.85/7.26 (((((Y0 @ Y1) & ('#sk1' @ 46.85/7.26 Y1 @ Y2))) => 46.85/7.26 (Y0 @ Y2))))))))))) => 46.85/7.26 (Y0 @ '#sk44')))))))), 46.85/7.26 define([status(thm)])). 46.85/7.26 thf(zip_derived_cl80, plain, 46.85/7.26 (![X2 : a > $o]: 46.85/7.26 ( (((((((!!) @ (^[Y0 : a]: ((('#sk1' @ '#sk35' @ Y0) => (X2 @ Y0)))))) & 46.85/7.26 (((!!) @ (^[Y0 : a]: 46.85/7.26 (((!!) @ (^[Y1 : a]: 46.85/7.26 (((((X2 @ Y0) & ('#sk1' @ Y0 @ Y1))) => 46.85/7.26 (X2 @ Y1))))))))))) => 46.85/7.26 (X2 @ '#sk44'))) 46.85/7.26 | ~ ('#form89'))), 46.85/7.26 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl79])). 46.85/7.26 thf(zip_derived_cl93, plain, 46.85/7.26 (![X2 : a > $o]: 46.85/7.26 (~ (((((!!) @ (^[Y0 : a]: ((('#sk1' @ '#sk35' @ Y0) => (X2 @ Y0)))))) & 46.85/7.26 (((!!) @ (^[Y0 : a]: 46.85/7.26 (((!!) @ (^[Y1 : a]: 46.85/7.26 (((((X2 @ Y0) & ('#sk1' @ Y0 @ Y1))) => 46.85/7.26 (X2 @ Y1))))))))))) 46.85/7.26 | (X2 @ '#sk44') 46.85/7.26 | ~ ('#form89'))), 46.85/7.26 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl80])). 46.85/7.26 thf(zip_derived_cl101, plain, 46.85/7.26 (![X2 : a > $o]: 46.85/7.26 (~ (((!!) @ (^[Y0 : a]: ((('#sk1' @ '#sk35' @ Y0) => (X2 @ Y0)))))) 46.85/7.26 | ~ (((!!) @ (^[Y0 : a]: 46.85/7.26 (((!!) @ (^[Y1 : a]: 46.85/7.26 (((((X2 @ Y0) & ('#sk1' @ Y0 @ Y1))) => 46.85/7.26 (X2 @ Y1))))))))) 46.85/7.26 | ~ ('#form89') 46.85/7.26 | (X2 @ '#sk44'))), 46.85/7.26 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl93])). 46.85/7.26 thf(zip_derived_cl109, plain, 46.85/7.26 (![X2 : a > $o]: 46.85/7.26 (~ ((('#sk1' @ '#sk35' @ ('#sk140' @ X2)) => (X2 @ ('#sk140' @ X2)))) 46.85/7.26 | (X2 @ '#sk44') 46.85/7.26 | ~ ('#form89') 46.85/7.26 | ~ (((!!) @ (^[Y0 : a]: 46.85/7.26 (((!!) @ (^[Y1 : a]: 46.85/7.26 (((((X2 @ Y0) & ('#sk1' @ Y0 @ Y1))) => 46.85/7.26 (X2 @ Y1))))))))))), 46.85/7.26 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl101])). 46.85/7.26 thf(zip_derived_cl122, plain, 46.85/7.26 (![X2 : a > $o]: 46.85/7.26 (~ (X2 @ ('#sk140' @ X2)) 46.85/7.26 | ~ (((!!) @ (^[Y0 : a]: 46.85/7.26 (((!!) @ (^[Y1 : a]: 46.85/7.26 (((((X2 @ Y0) & ('#sk1' @ Y0 @ Y1))) => 46.85/7.26 (X2 @ Y1))))))))) 46.85/7.26 | ~ ('#form89') 46.85/7.26 | (X2 @ '#sk44'))), 46.85/7.26 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl109])). 46.85/7.26 thf(zip_derived_cl132, plain, 46.85/7.26 (![X2 : a > $o]: 46.85/7.26 (~ (((!!) @ (^[Y0 : a]: 46.85/7.26 (((((X2 @ ('#sk180' @ X2)) & ('#sk1' @ 46.85/7.26 ('#sk180' @ X2) @ Y0))) => 46.85/7.26 (X2 @ Y0)))))) 46.85/7.26 | (X2 @ '#sk44') 46.85/7.26 | ~ ('#form89') 46.85/7.26 | ~ (X2 @ ('#sk140' @ X2)))), 46.85/7.26 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl122])). 46.85/7.26 thf(zip_derived_cl146, plain, 46.85/7.26 (![X2 : a > $o]: 46.85/7.26 (~ (((((X2 @ ('#sk180' @ X2)) & ('#sk1' @ ('#sk180' @ X2) @ 46.85/7.26 ('#sk211' @ X2)))) => 46.85/7.26 (X2 @ ('#sk211' @ X2)))) 46.85/7.26 | ~ (X2 @ ('#sk140' @ X2)) 46.85/7.26 | ~ ('#form89') 46.85/7.26 | (X2 @ '#sk44'))), 46.85/7.26 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl132])). 46.85/7.26 thf(zip_derived_cl157, plain, 46.85/7.26 (![X2 : a > $o]: 46.85/7.26 (~ (X2 @ ('#sk211' @ X2)) 46.85/7.26 | (X2 @ '#sk44') 46.85/7.26 | ~ ('#form89') 46.85/7.26 | ~ (X2 @ ('#sk140' @ X2)))), 46.85/7.26 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl146])). 46.85/7.26 thf(zip_derived_cl260, plain, 46.85/7.26 ((~ ('#sk70' @ ('#sk132' @ '#sk70')) 46.85/7.26 | ~ (((!!) @ (^[Y0 : a]: 46.85/7.26 (((!!) @ (^[Y1 : a]: 46.85/7.26 ((((('#sk70' @ Y0) & 46.85/7.26 ((('#sk2' @ Y0 @ Y1) | ('#sk1' @ Y0 @ 46.85/7.26 Y1))))) => 46.85/7.26 ('#sk70' @ Y1))))))))) 46.85/7.26 | ('#form25'))), 46.85/7.26 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl258])). 46.85/7.26 thf(zip_derived_cl262, plain, 46.85/7.26 ((~ (((!!) @ (^[Y0 : a]: 46.85/7.26 ((((('#sk70' @ ('#sk171' @ '#sk70')) & 46.85/7.26 ((('#sk2' @ ('#sk171' @ '#sk70') @ Y0) | ('#sk1' @ 46.85/7.26 ('#sk171' @ '#sk70') @ Y0))))) => 46.85/7.26 ('#sk70' @ Y0)))))) 46.85/7.26 | ('#form25') 46.85/7.26 | ~ ('#sk70' @ ('#sk132' @ '#sk70')))), 46.85/7.26 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl260])). 46.85/7.26 thf(zip_derived_cl264, plain, 46.85/7.26 ((~ ((((('#sk70' @ ('#sk171' @ '#sk70')) & 46.85/7.26 ((('#sk2' @ ('#sk171' @ '#sk70') @ ('#sk198' @ '#sk70')) | 46.85/7.26 ('#sk1' @ ('#sk171' @ '#sk70') @ ('#sk198' @ '#sk70')))))) => 46.85/7.26 ('#sk70' @ ('#sk198' @ '#sk70')))) 46.85/7.26 | ~ ('#sk70' @ ('#sk132' @ '#sk70')) 46.85/7.26 | ('#form25'))), 46.85/7.26 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl262])). 46.85/7.26 thf(zip_derived_cl266, plain, 46.85/7.26 (( ((('#sk70' @ ('#sk171' @ '#sk70')) & 46.85/7.26 ((('#sk2' @ ('#sk171' @ '#sk70') @ ('#sk198' @ '#sk70')) | 46.85/7.26 ('#sk1' @ ('#sk171' @ '#sk70') @ ('#sk198' @ '#sk70')))))) 46.85/7.26 | ('#form25') 46.85/7.26 | ~ ('#sk70' @ ('#sk132' @ '#sk70')))), 46.85/7.26 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl264])). 46.85/7.26 thf(zip_derived_cl270, plain, 46.85/7.26 (( ('#sk70' @ ('#sk171' @ '#sk70')) 46.85/7.26 | ~ ('#sk70' @ ('#sk132' @ '#sk70')) 46.85/7.26 | ('#form25'))), 46.85/7.26 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl266])). 46.85/7.26 thf(zip_derived_cl198, plain, 46.85/7.26 ((~ ('#sk5' @ ('#sk15' @ '#sk5')) 46.85/7.26 | ~ ('#form49' @ '#sk5') 46.85/7.26 | ~ ('#form34') 46.85/7.26 | ~ ('#form25'))), 46.85/7.26 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl196])). 46.85/7.26 thf(zip_derived_cl55, plain, 46.85/7.26 (( (((!!) @ (^[Y0 : a > $o]: 46.85/7.26 (((((((!!) @ (^[Y1 : a]: 46.85/7.26 ((((('#sk1' @ '#sk26' @ Y1) | ('#sk2' @ 46.85/7.26 '#sk26' @ Y1))) => 46.85/7.26 (Y0 @ Y1)))))) & 46.85/7.26 (((!!) @ (^[Y1 : a]: 46.85/7.26 (((!!) @ (^[Y2 : a]: 46.85/7.26 ((((((('#sk1' @ Y1 @ Y2) | 46.85/7.26 ('#sk2' @ Y1 @ Y2))) & 46.85/7.26 (Y0 @ Y1))) => 46.85/7.26 (Y0 @ Y2))))))))))) => 46.85/7.26 (Y0 @ '#sk36')))))) 46.85/7.26 | ('#form25'))), 46.85/7.26 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl48])). 46.85/7.26 thf(zip_derived_cl67, plain, 46.85/7.26 (![X2 : a > $o]: 46.85/7.26 ( (((((((!!) @ (^[Y0 : a]: 46.85/7.26 ((((('#sk1' @ '#sk26' @ Y0) | ('#sk2' @ '#sk26' @ 46.85/7.26 Y0))) => 46.85/7.26 (X2 @ Y0)))))) & 46.85/7.26 (((!!) @ (^[Y0 : a]: 46.85/7.26 (((!!) @ (^[Y1 : a]: 46.85/7.26 ((((((('#sk1' @ Y0 @ Y1) | ('#sk2' @ 46.85/7.26 Y0 @ Y1))) & 46.85/7.26 (X2 @ Y0))) => 46.85/7.26 (X2 @ Y1))))))))))) => 46.85/7.26 (X2 @ '#sk36'))) 46.85/7.26 | ('#form25'))), 46.85/7.26 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl55])). 46.85/7.26 thf(zip_derived_cl87, plain, 46.85/7.26 (![X2 : a > $o]: 46.85/7.26 (~ (((((!!) @ (^[Y0 : a]: 46.85/7.26 ((((('#sk1' @ '#sk26' @ Y0) | ('#sk2' @ '#sk26' @ Y0))) => 46.85/7.26 (X2 @ Y0)))))) & 46.85/7.26 (((!!) @ (^[Y0 : a]: 46.85/7.26 (((!!) @ (^[Y1 : a]: 46.85/7.26 ((((((('#sk1' @ Y0 @ Y1) | ('#sk2' @ 46.85/7.26 Y0 @ Y1))) & 46.85/7.26 (X2 @ Y0))) => 46.85/7.26 (X2 @ Y1))))))))))) 46.85/7.26 | (X2 @ '#sk36') 46.85/7.26 | ('#form25'))), 46.85/7.26 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl67])). 46.85/7.26 thf(zip_derived_cl96, plain, 46.85/7.26 (![X2 : a > $o]: 46.85/7.26 (~ (((!!) @ (^[Y0 : a]: 46.85/7.26 ((((('#sk1' @ '#sk26' @ Y0) | ('#sk2' @ '#sk26' @ Y0))) => 46.85/7.26 (X2 @ Y0)))))) 46.85/7.26 | ~ (((!!) @ (^[Y0 : a]: 46.85/7.26 (((!!) @ (^[Y1 : a]: 46.85/7.26 ((((((('#sk1' @ Y0 @ Y1) | ('#sk2' @ 46.85/7.26 Y0 @ Y1))) & 46.85/7.26 (X2 @ Y0))) => 46.85/7.26 (X2 @ Y1))))))))) 46.85/7.26 | ('#form25') 46.85/7.26 | (X2 @ '#sk36'))), 46.85/7.26 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl87])). 46.85/7.26 thf(zip_derived_cl42, plain, 46.85/7.26 (![X2 : a > $o]: 46.85/7.26 ( ('#form49' @ X2) 46.85/7.26 | ~ (((!!) @ (^[Y0 : a]: 46.85/7.26 (((!!) @ (^[Y1 : a]: 46.85/7.26 ((((((('#sk1' @ Y0 @ Y1) | ('#sk2' @ 46.85/7.26 Y0 @ Y1))) & 46.85/7.26 (X2 @ Y0))) => 46.85/7.26 (X2 @ Y1))))))))))), 46.85/7.26 define([status(thm)])). 46.85/7.26 thf(zip_derived_cl104, plain, 46.85/7.26 (![X2 : a > $o]: 46.85/7.26 (~ ('#form49' @ (^[Y0 : a]: (X2 @ Y0))) 46.85/7.26 | (X2 @ '#sk36') 46.85/7.26 | ('#form25') 46.85/7.26 | ~ (((!!) @ (^[Y0 : a]: 46.85/7.26 ((((('#sk1' @ '#sk26' @ Y0) | ('#sk2' @ '#sk26' @ Y0))) => 46.85/7.26 (X2 @ Y0)))))))), 46.85/7.26 inference('renaming', [status(thm)], [zip_derived_cl96, zip_derived_cl42])). 46.85/7.26 thf(zip_derived_cl113, plain, 46.85/7.26 (![X2 : a > $o]: 46.85/7.26 (~ ('#form49' @ X2) 46.85/7.26 | (X2 @ '#sk36') 46.85/7.26 | ('#form25') 46.85/7.26 | ~ (((!!) @ (^[Y0 : a]: 46.85/7.26 ((((('#sk1' @ '#sk26' @ Y0) | ('#sk2' @ '#sk26' @ Y0))) => 46.85/7.26 (X2 @ Y0)))))))), 46.85/7.26 inference('ho_norm', [status(thm)], [zip_derived_cl104])). 46.85/7.26 thf(zip_derived_cl114, plain, 46.85/7.26 (![X2 : a > $o]: 46.85/7.26 (~ ((((('#sk1' @ '#sk26' @ ('#sk145' @ X2)) | ('#sk2' @ '#sk26' @ 46.85/7.26 ('#sk145' @ X2)))) => 46.85/7.26 (X2 @ ('#sk145' @ X2)))) 46.85/7.26 | ('#form25') 46.85/7.26 | (X2 @ '#sk36') 46.85/7.26 | ~ ('#form49' @ X2))), 46.85/7.26 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl113])). 46.85/7.26 thf(zip_derived_cl125, plain, 46.85/7.26 (![X2 : a > $o]: 46.85/7.26 (~ (X2 @ ('#sk145' @ X2)) 46.85/7.26 | ~ ('#form49' @ X2) 46.85/7.26 | (X2 @ '#sk36') 46.85/7.26 | ('#form25'))), 46.85/7.26 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl114])). 46.85/7.26 thf(zip_derived_cl9, plain, 46.85/7.26 ( (((((!!) @ (^[Y0 : a]: 46.85/7.26 ((((('#sk1' @ '#sk3' @ Y0) | ('#sk2' @ '#sk3' @ Y0))) => 46.85/7.26 ('#sk5' @ Y0)))))) & 46.85/7.26 (((!!) @ (^[Y0 : a]: 46.85/7.26 (((!!) @ (^[Y1 : a]: 46.85/7.26 ((((((('#sk2' @ Y0 @ Y1) | ('#sk1' @ Y0 @ Y1))) & 46.85/7.26 ('#sk5' @ Y0))) => 46.85/7.26 ('#sk5' @ Y1)))))))))))), 46.85/7.26 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl7])). 46.85/7.26 thf(zip_derived_cl13, plain, 46.85/7.26 ( (((!!) @ (^[Y0 : a]: 46.85/7.26 ((((('#sk1' @ '#sk3' @ Y0) | ('#sk2' @ '#sk3' @ Y0))) => 46.85/7.26 ('#sk5' @ Y0))))))), 46.85/7.26 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl9])). 46.85/7.26 thf(zip_derived_cl16, plain, 46.85/7.26 (![X2 : a]: 46.85/7.26 ((((('#sk1' @ '#sk3' @ X2) | ('#sk2' @ '#sk3' @ X2))) => ('#sk5' @ 46.85/7.26 X2)))), 46.85/7.26 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl13])). 46.85/7.26 thf(zip_derived_cl19, plain, 46.85/7.26 (![X2 : a]: 46.85/7.26 (~ ((('#sk1' @ '#sk3' @ X2) | ('#sk2' @ '#sk3' @ X2))) 46.85/7.26 | ('#sk5' @ X2))), 46.85/7.26 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl16])). 46.85/7.26 thf(zip_derived_cl22, plain, 46.85/7.26 (![X2 : a]: (~ ('#sk1' @ '#sk3' @ X2) | ('#sk5' @ X2))), 46.85/7.26 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl19])). 46.85/7.26 thf(zip_derived_cl23, plain, 46.85/7.26 (![X2 : a]: (~ ('#sk2' @ '#sk3' @ X2) | ('#sk5' @ X2))), 46.85/7.26 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl19])). 46.85/7.26 thf(zip_derived_cl75, plain, 46.85/7.26 (( (((((!!) @ (^[Y0 : a]: 46.85/7.26 ((((('#sk2' @ '#sk26' @ Y0) | ('#sk1' @ '#sk26' @ Y0))) => 46.85/7.26 ('#sk70' @ Y0)))))) & 46.85/7.26 (((!!) @ (^[Y0 : a]: 46.85/7.26 (((!!) @ (^[Y1 : a]: 46.85/7.26 ((((('#sk70' @ Y0) & 46.85/7.26 ((('#sk2' @ Y0 @ Y1) | ('#sk1' @ Y0 @ 46.85/7.26 Y1))))) => 46.85/7.26 ('#sk70' @ Y1))))))))))) 46.85/7.26 | ('#form25'))), 46.85/7.26 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl58])). 46.85/7.26 thf(zip_derived_cl89, plain, 46.85/7.26 (( (((!!) @ (^[Y0 : a]: 46.85/7.26 ((((('#sk2' @ '#sk26' @ Y0) | ('#sk1' @ '#sk26' @ Y0))) => 46.85/7.26 ('#sk70' @ Y0)))))) 46.85/7.26 | ('#form25'))), 46.85/7.26 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl75])). 46.85/7.26 thf(zip_derived_cl98, plain, 46.85/7.26 (![X2 : a]: 46.85/7.26 ( ((((('#sk2' @ '#sk26' @ X2) | ('#sk1' @ '#sk26' @ X2))) => 46.85/7.26 ('#sk70' @ X2))) 46.85/7.26 | ('#form25'))), 46.85/7.26 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl89])). 46.85/7.26 thf(zip_derived_cl106, plain, 46.85/7.26 (![X2 : a]: 46.85/7.26 (~ ((('#sk2' @ '#sk26' @ X2) | ('#sk1' @ '#sk26' @ X2))) 46.85/7.26 | ('#sk70' @ X2) 46.85/7.26 | ('#form25'))), 46.85/7.26 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl98])). 46.85/7.26 thf(zip_derived_cl118, plain, 46.85/7.26 (![X2 : a]: (~ ('#sk1' @ '#sk26' @ X2) | ('#form25') | ('#sk70' @ X2))), 46.85/7.26 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl106])). 46.85/7.26 thf(zip_derived_cl117, plain, 46.85/7.26 (![X2 : a]: (~ ('#sk2' @ '#sk26' @ X2) | ('#form25') | ('#sk70' @ X2))), 46.85/7.26 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl106])). 46.85/7.26 thf(zip_derived_cl156, plain, 46.85/7.26 (![X2 : a > $o]: 46.85/7.26 ( (((X2 @ ('#sk180' @ X2)) & ('#sk1' @ ('#sk180' @ X2) @ 46.85/7.26 ('#sk211' @ X2)))) 46.85/7.26 | (X2 @ '#sk44') 46.85/7.26 | ~ ('#form89') 46.85/7.26 | ~ (X2 @ ('#sk140' @ X2)))), 46.85/7.26 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl146])). 46.85/7.26 thf(zip_derived_cl166, plain, 46.85/7.26 (![X2 : a > $o]: 46.85/7.26 ( (X2 @ ('#sk180' @ X2)) 46.85/7.26 | ~ (X2 @ ('#sk140' @ X2)) 46.85/7.26 | ~ ('#form89') 46.85/7.26 | (X2 @ '#sk44'))), 46.85/7.26 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl156])). 46.85/7.26 thf(zip_derived_cl47, plain, 46.85/7.26 ((~ (((!!) @ (^[Y0 : a > $o]: 46.85/7.26 (((((((!!) @ (^[Y1 : a]: 46.85/7.26 ((((('#sk1' @ '#sk35' @ Y1) | ('#sk2' @ 46.85/7.26 '#sk35' @ Y1))) => 46.85/7.26 (Y0 @ Y1)))))) & 46.85/7.26 (((!!) @ (^[Y1 : a]: 46.85/7.26 (((!!) @ (^[Y2 : a]: 46.85/7.26 (((((Y0 @ Y1) & 46.85/7.26 ((('#sk2' @ Y1 @ Y2) | 46.85/7.26 ('#sk1' @ Y1 @ Y2))))) => 46.85/7.26 (Y0 @ Y2))))))))))) => 46.85/7.26 (Y0 @ '#sk44')))))) 46.85/7.26 | ('#form34'))), 46.85/7.26 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl40])). 46.85/7.26 thf(zip_derived_cl54, plain, 46.85/7.26 ((~ (((((((!!) @ (^[Y0 : a]: 46.85/7.26 ((((('#sk1' @ '#sk35' @ Y0) | ('#sk2' @ '#sk35' @ Y0))) => 46.85/7.26 ('#sk69' @ Y0)))))) & 46.85/7.26 (((!!) @ (^[Y0 : a]: 46.85/7.26 (((!!) @ (^[Y1 : a]: 46.85/7.26 ((((('#sk69' @ Y0) & 46.85/7.26 ((('#sk2' @ Y0 @ Y1) | ('#sk1' @ 46.85/7.26 Y0 @ Y1))))) => 46.85/7.26 ('#sk69' @ Y1))))))))))) => 46.85/7.26 ('#sk69' @ '#sk44'))) 46.85/7.26 | ('#form34'))), 46.85/7.26 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl47])). 46.85/7.26 thf(zip_derived_cl65, plain, 46.85/7.26 (( (((((!!) @ (^[Y0 : a]: 46.85/7.26 ((((('#sk1' @ '#sk35' @ Y0) | ('#sk2' @ '#sk35' @ Y0))) => 46.85/7.26 ('#sk69' @ Y0)))))) & 46.85/7.26 (((!!) @ (^[Y0 : a]: 46.85/7.26 (((!!) @ (^[Y1 : a]: 46.85/7.26 ((((('#sk69' @ Y0) & 46.85/7.26 ((('#sk2' @ Y0 @ Y1) | ('#sk1' @ Y0 @ 46.85/7.26 Y1))))) => 46.85/7.26 ('#sk69' @ Y1))))))))))) 46.85/7.26 | ('#form34'))), 46.85/7.26 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl54])). 46.85/7.26 thf(zip_derived_cl85, plain, 46.85/7.26 (( (((!!) @ (^[Y0 : a]: 46.85/7.26 ((((('#sk1' @ '#sk35' @ Y0) | ('#sk2' @ '#sk35' @ Y0))) => 46.85/7.26 ('#sk69' @ Y0)))))) 46.85/7.26 | ('#form34'))), 46.85/7.26 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl65])). 46.85/7.26 thf(zip_derived_cl94, plain, 46.85/7.26 (![X2 : a]: 46.85/7.26 ( ((((('#sk1' @ '#sk35' @ X2) | ('#sk2' @ '#sk35' @ X2))) => 46.85/7.26 ('#sk69' @ X2))) 46.85/7.26 | ('#form34'))), 46.85/7.26 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl85])). 46.85/7.26 thf(zip_derived_cl102, plain, 46.85/7.26 (![X2 : a]: 46.85/7.26 (~ ((('#sk1' @ '#sk35' @ X2) | ('#sk2' @ '#sk35' @ X2))) 46.85/7.26 | ('#sk69' @ X2) 46.85/7.26 | ('#form34'))), 46.85/7.26 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl94])). 46.85/7.26 thf(zip_derived_cl110, plain, 46.85/7.26 (![X2 : a]: (~ ('#sk1' @ '#sk35' @ X2) | ('#form34') | ('#sk69' @ X2))), 46.85/7.26 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl102])). 46.85/7.26 thf(zip_derived_cl167, plain, 46.85/7.26 (![X2 : a > $o]: 46.85/7.26 ( ('#sk1' @ ('#sk180' @ X2) @ ('#sk211' @ X2)) 46.85/7.26 | ~ (X2 @ ('#sk140' @ X2)) 46.85/7.26 | ~ ('#form89') 46.85/7.26 | (X2 @ '#sk44'))), 46.85/7.26 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl156])). 46.85/7.26 thf(zip_derived_cl14, plain, 46.85/7.26 ( (((!!) @ (^[Y0 : a]: 46.85/7.26 (((!!) @ (^[Y1 : a]: 46.85/7.26 ((((((('#sk2' @ Y0 @ Y1) | ('#sk1' @ Y0 @ Y1))) & 46.85/7.26 ('#sk5' @ Y0))) => 46.85/7.26 ('#sk5' @ Y1)))))))))), 46.85/7.26 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl9])). 46.85/7.26 thf(zip_derived_cl17, plain, 46.85/7.26 (![X2 : a]: 46.85/7.26 (((!!) @ (^[Y0 : a]: 46.85/7.26 ((((((('#sk2' @ X2 @ Y0) | ('#sk1' @ X2 @ Y0))) & 46.85/7.26 ('#sk5' @ X2))) => 46.85/7.26 ('#sk5' @ Y0))))))), 46.85/7.26 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl14])). 46.85/7.26 thf(zip_derived_cl20, plain, 46.85/7.26 (![X2 : a, X4 : a]: 46.85/7.26 ((((((('#sk2' @ X2 @ X4) | ('#sk1' @ X2 @ X4))) & ('#sk5' @ X2))) => 46.85/7.26 ('#sk5' @ X4)))), 46.85/7.26 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl17])). 46.85/7.26 thf(zip_derived_cl24, plain, 46.85/7.26 (![X2 : a, X4 : a]: 46.85/7.26 (~ ((((('#sk2' @ X2 @ X4) | ('#sk1' @ X2 @ X4))) & ('#sk5' @ X2))) 46.85/7.26 | ('#sk5' @ X4))), 46.85/7.26 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl20])). 46.85/7.26 thf(zip_derived_cl27, plain, 46.85/7.26 (![X2 : a, X4 : a]: 46.85/7.26 (~ ((('#sk2' @ X2 @ X4) | ('#sk1' @ X2 @ X4))) 46.85/7.26 | ~ ('#sk5' @ X2) 46.85/7.26 | ('#sk5' @ X4))), 46.85/7.26 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl24])). 46.85/7.26 thf(zip_derived_cl33, plain, 46.85/7.26 (![X2 : a, X4 : a]: 46.85/7.26 (~ ('#sk1' @ X2 @ X4) | ('#sk5' @ X4) | ~ ('#sk5' @ X2))), 46.85/7.26 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl27])). 46.85/7.26 thf(zip_derived_cl32, plain, 46.85/7.26 (![X2 : a, X4 : a]: 46.85/7.26 (~ ('#sk2' @ X2 @ X4) | ('#sk5' @ X4) | ~ ('#sk5' @ X2))), 46.85/7.26 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl27])). 46.85/7.26 thf(zip_derived_cl42, plain, 46.85/7.26 (![X2 : a > $o]: 46.85/7.26 ( ('#form49' @ X2) 46.85/7.26 | ~ (((!!) @ (^[Y0 : a]: 46.85/7.26 (((!!) @ (^[Y1 : a]: 46.85/7.26 ((((((('#sk1' @ Y0 @ Y1) | ('#sk2' @ 46.85/7.26 Y0 @ Y1))) & 46.85/7.26 (X2 @ Y0))) => 46.85/7.26 (X2 @ Y1))))))))))), 46.85/7.26 define([status(thm)])). 46.85/7.26 thf(zip_derived_cl43, plain, 46.85/7.26 (![X2 : a > $o]: 46.85/7.26 (~ (((!!) @ (^[Y0 : a]: 46.85/7.26 ((((((('#sk1' @ ('#sk50' @ X2) @ Y0) | ('#sk2' @ 46.85/7.26 ('#sk50' @ X2) @ Y0))) & 46.85/7.26 (X2 @ ('#sk50' @ X2)))) => 46.85/7.26 (X2 @ Y0)))))) 46.85/7.26 | ('#form49' @ X2))), 46.85/7.26 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl42])). 46.85/7.26 thf(zip_derived_cl50, plain, 46.85/7.26 (![X2 : a > $o]: 46.85/7.26 (~ ((((((('#sk1' @ ('#sk50' @ X2) @ ('#sk62' @ X2)) | ('#sk2' @ 46.85/7.26 ('#sk50' @ X2) @ ('#sk62' @ X2)))) & 46.85/7.26 (X2 @ ('#sk50' @ X2)))) => 46.85/7.26 (X2 @ ('#sk62' @ X2)))) 46.85/7.26 | ('#form49' @ X2))), 46.85/7.26 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl43])). 46.85/7.26 thf(zip_derived_cl59, plain, 46.85/7.26 (![X2 : a > $o]: 46.85/7.26 ( ((((('#sk1' @ ('#sk50' @ X2) @ ('#sk62' @ X2)) | ('#sk2' @ 46.85/7.26 ('#sk50' @ X2) @ ('#sk62' @ X2)))) & 46.85/7.26 (X2 @ ('#sk50' @ X2)))) 46.85/7.26 | ('#form49' @ X2))), 46.85/7.26 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl50])). 46.85/7.26 thf(zip_derived_cl78, plain, 46.85/7.26 (![X2 : a > $o]: ( (X2 @ ('#sk50' @ X2)) | ('#form49' @ X2))), 46.85/7.26 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl59])). 46.85/7.26 thf(zip_derived_cl124, plain, 46.85/7.26 (![X2 : a > $o]: 46.85/7.26 ( ((('#sk1' @ '#sk26' @ ('#sk145' @ X2)) | ('#sk2' @ '#sk26' @ 46.85/7.26 ('#sk145' @ X2)))) 46.85/7.26 | ~ ('#form49' @ X2) 46.85/7.26 | (X2 @ '#sk36') 46.85/7.26 | ('#form25'))), 46.85/7.26 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl114])). 46.85/7.26 thf(zip_derived_cl135, plain, 46.85/7.26 (![X2 : a > $o]: 46.85/7.26 ( ('#sk1' @ '#sk26' @ ('#sk145' @ X2)) 46.85/7.26 | ('#sk2' @ '#sk26' @ ('#sk145' @ X2)) 46.85/7.26 | ('#form25') 46.85/7.26 | (X2 @ '#sk36') 46.85/7.26 | ~ ('#form49' @ X2))), 46.85/7.26 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl124])). 46.85/7.26 thf(zip_derived_cl66, plain, ((~ ('#sk69' @ '#sk44') | ('#form34'))), 46.85/7.26 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl54])). 46.85/7.26 thf(zip_derived_cl60, plain, 46.85/7.26 (![X2 : a > $o]: (~ (X2 @ ('#sk62' @ X2)) | ('#form49' @ X2))), 46.85/7.26 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl50])). 46.85/7.26 thf(zip_derived_cl77, plain, 46.85/7.26 (![X2 : a > $o]: 46.85/7.26 ( ((('#sk1' @ ('#sk50' @ X2) @ ('#sk62' @ X2)) | ('#sk2' @ 46.85/7.26 ('#sk50' @ X2) @ ('#sk62' @ X2)))) 46.85/7.26 | ('#form49' @ X2))), 46.85/7.26 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl59])). 46.85/7.26 thf(zip_derived_cl91, plain, 46.85/7.26 (![X2 : a > $o]: 46.85/7.26 ( ('#sk1' @ ('#sk50' @ X2) @ ('#sk62' @ X2)) 46.85/7.26 | ('#sk2' @ ('#sk50' @ X2) @ ('#sk62' @ X2)) 46.85/7.26 | ('#form49' @ X2))), 46.85/7.26 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl77])). 46.85/7.26 thf(zip_derived_cl121, plain, 46.85/7.26 (![X2 : a > $o]: 46.85/7.26 ( ('#sk1' @ '#sk35' @ ('#sk140' @ X2)) 46.85/7.26 | ~ (((!!) @ (^[Y0 : a]: 46.85/7.26 (((!!) @ (^[Y1 : a]: 46.85/7.26 (((((X2 @ Y0) & ('#sk1' @ Y0 @ Y1))) => 46.85/7.26 (X2 @ Y1))))))))) 46.85/7.26 | ~ ('#form89') 46.85/7.26 | (X2 @ '#sk44'))), 46.85/7.26 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl109])). 46.85/7.26 thf(zip_derived_cl131, plain, 46.85/7.26 (![X2 : a > $o]: 46.85/7.26 (~ (((!!) @ (^[Y0 : a]: 46.85/7.26 (((((X2 @ ('#sk180' @ X2)) & ('#sk1' @ 46.85/7.26 ('#sk180' @ X2) @ Y0))) => 46.85/7.26 (X2 @ Y0)))))) 46.85/7.26 | (X2 @ '#sk44') 46.85/7.26 | ~ ('#form89') 46.85/7.26 | ('#sk1' @ '#sk35' @ ('#sk140' @ X2)))), 46.85/7.26 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl121])). 46.85/7.26 thf(zip_derived_cl145, plain, 46.85/7.26 (![X2 : a > $o]: 46.85/7.26 (~ (((((X2 @ ('#sk180' @ X2)) & ('#sk1' @ ('#sk180' @ X2) @ 46.85/7.26 ('#sk211' @ X2)))) => 46.85/7.26 (X2 @ ('#sk211' @ X2)))) 46.85/7.26 | ('#sk1' @ '#sk35' @ ('#sk140' @ X2)) 46.85/7.26 | ~ ('#form89') 46.85/7.26 | (X2 @ '#sk44'))), 46.85/7.26 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl131])). 46.85/7.26 thf(zip_derived_cl155, plain, 46.85/7.26 (![X2 : a > $o]: 46.85/7.26 (~ (X2 @ ('#sk211' @ X2)) 46.85/7.26 | (X2 @ '#sk44') 46.85/7.26 | ~ ('#form89') 46.85/7.26 | ('#sk1' @ '#sk35' @ ('#sk140' @ X2)))), 46.85/7.26 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl145])). 46.85/7.26 thf(zip_derived_cl90, plain, 46.85/7.26 (( (((!!) @ (^[Y0 : a]: 46.85/7.26 (((!!) @ (^[Y1 : a]: 46.85/7.26 ((((('#sk70' @ Y0) & 46.85/7.26 ((('#sk2' @ Y0 @ Y1) | ('#sk1' @ Y0 @ Y1))))) => 46.85/7.26 ('#sk70' @ Y1))))))))) 46.85/7.26 | ('#form25'))), 46.85/7.26 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl75])). 46.85/7.26 thf(zip_derived_cl99, plain, 46.85/7.26 (![X2 : a]: 46.85/7.26 ( (((!!) @ (^[Y0 : a]: 46.85/7.26 ((((('#sk70' @ X2) & 46.85/7.26 ((('#sk2' @ X2 @ Y0) | ('#sk1' @ X2 @ Y0))))) => 46.85/7.26 ('#sk70' @ Y0)))))) 46.85/7.26 | ('#form25'))), 46.85/7.26 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl90])). 46.85/7.26 thf(zip_derived_cl107, plain, 46.85/7.26 (![X2 : a, X4 : a]: 46.85/7.26 ( ((((('#sk70' @ X2) & ((('#sk2' @ X2 @ X4) | ('#sk1' @ X2 @ X4))))) => 46.85/7.26 ('#sk70' @ X4))) 46.85/7.26 | ('#form25'))), 46.85/7.26 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl99])). 46.85/7.26 thf(zip_derived_cl119, plain, 46.85/7.26 (![X2 : a, X4 : a]: 46.85/7.26 (~ ((('#sk70' @ X2) & ((('#sk2' @ X2 @ X4) | ('#sk1' @ X2 @ X4))))) 46.85/7.26 | ('#sk70' @ X4) 46.85/7.26 | ('#form25'))), 46.85/7.26 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl107])). 46.85/7.26 thf(zip_derived_cl128, plain, 46.85/7.26 (![X2 : a, X4 : a]: 46.85/7.26 (~ ('#sk70' @ X2) 46.85/7.26 | ~ ((('#sk2' @ X2 @ X4) | ('#sk1' @ X2 @ X4))) 46.85/7.26 | ('#form25') 46.85/7.26 | ('#sk70' @ X4))), 46.85/7.26 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl119])). 46.85/7.26 thf(zip_derived_cl139, plain, 46.85/7.26 (![X2 : a, X4 : a]: 46.85/7.26 (~ ('#sk1' @ X2 @ X4) 46.85/7.26 | ('#sk70' @ X4) 46.85/7.26 | ('#form25') 46.85/7.26 | ~ ('#sk70' @ X2))), 46.85/7.26 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl128])). 46.85/7.26 thf(zip_derived_cl138, plain, 46.85/7.26 (![X2 : a, X4 : a]: 46.85/7.26 (~ ('#sk2' @ X2 @ X4) 46.85/7.26 | ('#sk70' @ X4) 46.85/7.26 | ('#form25') 46.85/7.26 | ~ ('#sk70' @ X2))), 46.85/7.26 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl128])). 46.85/7.26 thf(zip_derived_cl154, plain, 46.85/7.26 (![X2 : a > $o]: 46.85/7.26 ( (((X2 @ ('#sk180' @ X2)) & ('#sk1' @ ('#sk180' @ X2) @ 46.85/7.26 ('#sk211' @ X2)))) 46.85/7.26 | (X2 @ '#sk44') 46.85/7.26 | ~ ('#form89') 46.85/7.26 | ('#sk1' @ '#sk35' @ ('#sk140' @ X2)))), 46.85/7.26 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl145])). 46.85/7.26 thf(zip_derived_cl164, plain, 46.85/7.26 (![X2 : a > $o]: 46.85/7.26 ( (X2 @ ('#sk180' @ X2)) 46.85/7.26 | ('#sk1' @ '#sk35' @ ('#sk140' @ X2)) 46.85/7.26 | ~ ('#form89') 46.85/7.26 | (X2 @ '#sk44'))), 46.85/7.26 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl154])). 46.85/7.26 thf(zip_derived_cl86, plain, 46.85/7.26 (( (((!!) @ (^[Y0 : a]: 46.85/7.26 (((!!) @ (^[Y1 : a]: 46.85/7.26 ((((('#sk69' @ Y0) & 46.85/7.26 ((('#sk2' @ Y0 @ Y1) | ('#sk1' @ Y0 @ Y1))))) => 46.85/7.26 ('#sk69' @ Y1))))))))) 46.85/7.26 | ('#form34'))), 46.85/7.26 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl65])). 46.85/7.26 thf(zip_derived_cl95, plain, 46.85/7.26 (![X2 : a]: 46.85/7.26 ( (((!!) @ (^[Y0 : a]: 46.85/7.26 ((((('#sk69' @ X2) & 46.85/7.26 ((('#sk2' @ X2 @ Y0) | ('#sk1' @ X2 @ Y0))))) => 46.85/7.26 ('#sk69' @ Y0)))))) 46.85/7.26 | ('#form34'))), 46.85/7.26 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl86])). 46.85/7.26 thf(zip_derived_cl103, plain, 46.85/7.26 (![X2 : a, X4 : a]: 46.85/7.26 ( ((((('#sk69' @ X2) & ((('#sk2' @ X2 @ X4) | ('#sk1' @ X2 @ X4))))) => 46.85/7.26 ('#sk69' @ X4))) 46.85/7.26 | ('#form34'))), 46.85/7.26 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl95])). 46.85/7.26 thf(zip_derived_cl112, plain, 46.85/7.26 (![X2 : a, X4 : a]: 46.85/7.26 (~ ((('#sk69' @ X2) & ((('#sk2' @ X2 @ X4) | ('#sk1' @ X2 @ X4))))) 46.85/7.26 | ('#sk69' @ X4) 46.85/7.26 | ('#form34'))), 46.85/7.26 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl103])). 46.85/7.26 thf(zip_derived_cl123, plain, 46.85/7.26 (![X2 : a, X4 : a]: 46.85/7.26 (~ ('#sk69' @ X2) 46.85/7.26 | ~ ((('#sk2' @ X2 @ X4) | ('#sk1' @ X2 @ X4))) 46.85/7.26 | ('#form34') 46.85/7.26 | ('#sk69' @ X4))), 46.85/7.26 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl112])). 46.85/7.26 thf(zip_derived_cl134, plain, 46.85/7.26 (![X2 : a, X4 : a]: 46.85/7.26 (~ ('#sk1' @ X2 @ X4) 46.85/7.26 | ('#sk69' @ X4) 46.85/7.26 | ('#form34') 46.85/7.26 | ~ ('#sk69' @ X2))), 46.85/7.26 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl123])). 46.85/7.26 thf(zip_derived_cl165, plain, 46.85/7.26 (![X2 : a > $o]: 46.85/7.26 ( ('#sk1' @ ('#sk180' @ X2) @ ('#sk211' @ X2)) 46.85/7.26 | ('#sk1' @ '#sk35' @ ('#sk140' @ X2)) 46.85/7.26 | ~ ('#form89') 46.85/7.26 | (X2 @ '#sk44'))), 46.85/7.26 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl154])). 46.85/7.26 thf(zip_derived_cl61, plain, 46.85/7.26 (![X2 : a > $o]: 46.85/7.26 ( (((((((!!) @ (^[Y0 : a]: 46.85/7.26 (((!!) @ (^[Y1 : a]: 46.85/7.26 (((((X2 @ Y0) & ('#sk2' @ Y0 @ Y1))) => 46.85/7.26 (X2 @ Y1))))))))) & 46.85/7.26 (((!!) @ (^[Y0 : a]: ((('#sk2' @ '#sk35' @ Y0) => (X2 @ Y0)))))))) => 46.85/7.26 (X2 @ '#sk44'))) 46.85/7.26 | ('#form34') 46.85/7.26 | (((!!) @ (^[Y0 : a > $o]: 46.85/7.26 (((((((!!) @ (^[Y1 : a]: 46.85/7.26 ((('#sk1' @ '#sk35' @ Y1) => (Y0 @ Y1)))))) & 46.85/7.26 (((!!) @ (^[Y1 : a]: 46.85/7.26 (((!!) @ (^[Y2 : a]: 46.85/7.26 (((((Y0 @ Y1) & ('#sk1' @ 46.85/7.26 Y1 @ Y2))) => 46.85/7.26 (Y0 @ Y2))))))))))) => 46.85/7.26 (Y0 @ '#sk44')))))))), 46.85/7.26 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl52])). 46.85/7.26 thf(zip_derived_cl63, plain, 46.85/7.26 (( (((((((!!) @ (^[Y0 : a]: 46.85/7.26 (((!!) @ (^[Y1 : a]: 46.85/7.26 ((((('#sk69' @ Y0) & ('#sk2' @ Y0 @ Y1))) => 46.85/7.26 ('#sk69' @ Y1))))))))) & 46.85/7.26 (((!!) @ (^[Y0 : a]: ((('#sk2' @ '#sk35' @ Y0) => ('#sk69' @ Y0)))))))) => 46.85/7.26 ('#sk69' @ '#sk44'))) 46.85/7.26 | ('#form34') 46.85/7.26 | (((!!) @ (^[Y0 : a > $o]: 46.85/7.26 (((((((!!) @ (^[Y1 : a]: 46.85/7.26 ((('#sk1' @ '#sk35' @ Y1) => (Y0 @ Y1)))))) & 46.85/7.26 (((!!) @ (^[Y1 : a]: 46.85/7.26 (((!!) @ (^[Y2 : a]: 46.85/7.26 (((((Y0 @ Y1) & ('#sk1' @ 46.85/7.26 Y1 @ Y2))) => 46.85/7.26 (Y0 @ Y2))))))))))) => 46.85/7.26 (Y0 @ '#sk44')))))))), 46.85/7.26 inference('triggered_bool_instantiation', [status(thm)], 46.85/7.26 [zip_derived_cl61])). 46.85/7.26 thf(zip_derived_cl79, plain, 46.85/7.26 ((~ ('#form89') 46.85/7.26 | (((!!) @ (^[Y0 : a > $o]: 46.85/7.26 (((((((!!) @ (^[Y1 : a]: 46.85/7.26 ((('#sk1' @ '#sk35' @ Y1) => (Y0 @ Y1)))))) & 46.85/7.26 (((!!) @ (^[Y1 : a]: 46.85/7.26 (((!!) @ (^[Y2 : a]: 46.85/7.26 (((((Y0 @ Y1) & ('#sk1' @ 46.85/7.26 Y1 @ Y2))) => 46.85/7.26 (Y0 @ Y2))))))))))) => 46.85/7.26 (Y0 @ '#sk44')))))))), 46.85/7.26 define([status(thm)])). 46.85/7.26 thf(zip_derived_cl335, plain, 46.85/7.26 (( ('#form89') 46.85/7.26 | ('#form34') 46.85/7.26 | (((((((!!) @ (^[Y0 : a]: 46.85/7.26 (((!!) @ (^[Y1 : a]: 46.85/7.26 ((((('#sk69' @ Y0) & ('#sk2' @ Y0 @ Y1))) => 46.85/7.26 ('#sk69' @ Y1))))))))) & 46.85/7.26 (((!!) @ (^[Y0 : a]: 46.85/7.26 ((('#sk2' @ '#sk35' @ Y0) => ('#sk69' @ Y0)))))))) => 46.85/7.26 ('#sk69' @ '#sk44'))))), 46.85/7.26 inference('renaming', [status(thm)], [zip_derived_cl63, zip_derived_cl79])). 46.85/7.26 thf(zip_derived_cl336, plain, 46.85/7.26 ((~ (((((!!) @ (^[Y0 : a]: 46.85/7.26 (((!!) @ (^[Y1 : a]: 46.85/7.26 ((((('#sk69' @ Y0) & ('#sk2' @ Y0 @ Y1))) => 46.85/7.26 ('#sk69' @ Y1))))))))) & 46.85/7.26 (((!!) @ (^[Y0 : a]: ((('#sk2' @ '#sk35' @ Y0) => ('#sk69' @ Y0)))))))) 46.85/7.26 | ('#sk69' @ '#sk44') 46.85/7.26 | ('#form34') 46.85/7.26 | ('#form89'))), 46.85/7.26 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl335])). 46.85/7.26 thf(zip_derived_cl66, plain, ((~ ('#sk69' @ '#sk44') | ('#form34'))), 46.85/7.26 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl54])). 46.85/7.26 thf(zip_derived_cl337, plain, 46.85/7.26 (( ('#form89') 46.85/7.26 | ('#form34') 46.85/7.26 | ~ (((((!!) @ (^[Y0 : a]: 46.85/7.26 (((!!) @ (^[Y1 : a]: 46.85/7.26 ((((('#sk69' @ Y0) & ('#sk2' @ Y0 @ Y1))) => 46.85/7.26 ('#sk69' @ Y1))))))))) & 46.85/7.26 (((!!) @ (^[Y0 : a]: 46.85/7.26 ((('#sk2' @ '#sk35' @ Y0) => ('#sk69' @ Y0)))))))))), 46.85/7.26 inference('clc', [status(thm)], [zip_derived_cl336, zip_derived_cl66])). 46.85/7.26 thf(zip_derived_cl338, plain, 46.85/7.26 ((~ (((!!) @ (^[Y0 : a]: 46.85/7.26 (((!!) @ (^[Y1 : a]: 46.85/7.26 ((((('#sk69' @ Y0) & ('#sk2' @ Y0 @ Y1))) => 46.85/7.26 ('#sk69' @ Y1))))))))) 46.85/7.26 | ~ (((!!) @ (^[Y0 : a]: ((('#sk2' @ '#sk35' @ Y0) => ('#sk69' @ Y0)))))) 46.85/7.26 | ('#form34') 46.85/7.26 | ('#form89'))), 46.85/7.26 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl337])). 46.85/7.26 thf(zip_derived_cl61, plain, 46.85/7.26 (![X2 : a > $o]: 46.85/7.26 ( (((((((!!) @ (^[Y0 : a]: 46.85/7.26 (((!!) @ (^[Y1 : a]: 46.85/7.26 (((((X2 @ Y0) & ('#sk2' @ Y0 @ Y1))) => 46.85/7.26 (X2 @ Y1))))))))) & 46.85/7.26 (((!!) @ (^[Y0 : a]: ((('#sk2' @ '#sk35' @ Y0) => (X2 @ Y0)))))))) => 46.85/7.26 (X2 @ '#sk44'))) 46.85/7.26 | ('#form34') 46.85/7.26 | (((!!) @ (^[Y0 : a > $o]: 46.85/7.26 (((((((!!) @ (^[Y1 : a]: 46.85/7.26 ((('#sk1' @ '#sk35' @ Y1) => (Y0 @ Y1)))))) & 46.85/7.26 (((!!) @ (^[Y1 : a]: 46.85/7.26 (((!!) @ (^[Y2 : a]: 46.85/7.26 (((((Y0 @ Y1) & ('#sk1' @ 46.85/7.26 Y1 @ Y2))) => 46.85/7.26 (Y0 @ Y2))))))))))) => 46.85/7.26 (Y0 @ '#sk44')))))))), 46.85/7.26 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl52])). 46.85/7.26 thf(zip_derived_cl79, plain, 46.85/7.26 ((~ ('#form89') 46.85/7.26 | (((!!) @ (^[Y0 : a > $o]: 46.85/7.26 (((((((!!) @ (^[Y1 : a]: 46.85/7.26 ((('#sk1' @ '#sk35' @ Y1) => (Y0 @ Y1)))))) & 46.85/7.26 (((!!) @ (^[Y1 : a]: 46.85/7.26 (((!!) @ (^[Y2 : a]: 46.85/7.26 (((((Y0 @ Y1) & ('#sk1' @ 46.85/7.26 Y1 @ Y2))) => 46.85/7.26 (Y0 @ Y2))))))))))) => 46.85/7.26 (Y0 @ '#sk44')))))))), 46.85/7.26 define([status(thm)])). 46.85/7.26 thf(zip_derived_cl84, plain, 46.85/7.26 (![X2 : a > $o]: 46.85/7.26 ( ('#form89') 46.85/7.26 | ('#form34') 46.85/7.26 | (((((((!!) @ (^[Y0 : a]: 46.85/7.26 (((!!) @ (^[Y1 : a]: 46.85/7.26 (((((X2 @ Y0) & ('#sk2' @ Y0 @ Y1))) => 46.85/7.26 (X2 @ Y1))))))))) & 46.85/7.26 (((!!) @ (^[Y0 : a]: ((('#sk2' @ '#sk35' @ Y0) => (X2 @ Y0)))))))) => 46.85/7.26 (X2 @ '#sk44'))))), 46.85/7.26 inference('renaming', [status(thm)], [zip_derived_cl61, zip_derived_cl79])). 46.85/7.26 thf(zip_derived_cl92, plain, 46.85/7.26 (![X2 : a > $o]: 46.85/7.26 (~ (((((!!) @ (^[Y0 : a]: 46.85/7.26 (((!!) @ (^[Y1 : a]: 46.85/7.26 (((((X2 @ Y0) & ('#sk2' @ Y0 @ Y1))) => 46.85/7.26 (X2 @ Y1))))))))) & 46.85/7.26 (((!!) @ (^[Y0 : a]: ((('#sk2' @ '#sk35' @ Y0) => (X2 @ Y0)))))))) 46.85/7.26 | (X2 @ '#sk44') 46.85/7.26 | ('#form34') 46.85/7.26 | ('#form89'))), 46.85/7.26 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl84])). 46.85/7.26 thf(zip_derived_cl100, plain, 46.85/7.26 (![X2 : a > $o]: 46.85/7.26 (~ (((!!) @ (^[Y0 : a]: 46.85/7.26 (((!!) @ (^[Y1 : a]: 46.85/7.26 (((((X2 @ Y0) & ('#sk2' @ Y0 @ Y1))) => 46.85/7.26 (X2 @ Y1))))))))) 46.85/7.26 | ~ (((!!) @ (^[Y0 : a]: ((('#sk2' @ '#sk35' @ Y0) => (X2 @ Y0)))))) 46.85/7.26 | ('#form89') 46.85/7.26 | ('#form34') 46.85/7.26 | (X2 @ '#sk44'))), 46.85/7.26 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl92])). 46.85/7.26 thf(zip_derived_cl108, plain, 46.85/7.26 (![X2 : a > $o]: 46.85/7.26 (~ (((!!) @ (^[Y0 : a]: 46.85/7.26 (((((X2 @ ('#sk136' @ X2)) & ('#sk2' @ 46.85/7.26 ('#sk136' @ X2) @ Y0))) => 46.85/7.26 (X2 @ Y0)))))) 46.85/7.26 | (X2 @ '#sk44') 46.85/7.26 | ('#form34') 46.85/7.26 | ('#form89') 46.85/7.26 | ~ (((!!) @ (^[Y0 : a]: ((('#sk2' @ '#sk35' @ Y0) => (X2 @ Y0)))))))), 46.85/7.26 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl100])). 46.85/7.26 thf(zip_derived_cl120, plain, 46.85/7.26 (![X2 : a > $o]: 46.85/7.26 (~ (((((X2 @ ('#sk136' @ X2)) & ('#sk2' @ ('#sk136' @ X2) @ 46.85/7.26 ('#sk155' @ X2)))) => 46.85/7.26 (X2 @ ('#sk155' @ X2)))) 46.85/7.26 | ~ (((!!) @ (^[Y0 : a]: ((('#sk2' @ '#sk35' @ Y0) => (X2 @ Y0)))))) 46.85/7.26 | ('#form89') 46.85/7.26 | ('#form34') 46.85/7.26 | (X2 @ '#sk44'))), 46.85/7.26 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl108])). 46.85/7.26 thf(zip_derived_cl130, plain, 46.85/7.26 (![X2 : a > $o]: 46.85/7.26 (~ (X2 @ ('#sk155' @ X2)) 46.85/7.26 | (X2 @ '#sk44') 46.85/7.26 | ('#form34') 46.85/7.26 | ('#form89') 46.85/7.26 | ~ (((!!) @ (^[Y0 : a]: ((('#sk2' @ '#sk35' @ Y0) => (X2 @ Y0)))))))), 46.85/7.26 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl120])). 46.85/7.26 thf(zip_derived_cl142, plain, 46.85/7.26 (![X2 : a > $o]: 46.85/7.26 ( ('#form205' @ X2) 46.85/7.26 | ~ (((!!) @ (^[Y0 : a]: ((('#sk2' @ '#sk35' @ Y0) => (X2 @ Y0)))))))), 46.85/7.26 define([status(thm)])). 46.85/7.26 thf(zip_derived_cl339, plain, 46.85/7.26 ((~ ('#form205' @ '#sk69') 46.85/7.26 | ('#form89') 46.85/7.26 | ('#form34') 46.85/7.26 | ~ (((!!) @ (^[Y0 : a]: 46.85/7.26 (((!!) @ (^[Y1 : a]: 46.85/7.26 ((((('#sk69' @ Y0) & ('#sk2' @ Y0 @ Y1))) => 46.85/7.26 ('#sk69' @ Y1))))))))))), 46.85/7.26 inference('renaming', [status(thm)], 46.85/7.26 [zip_derived_cl338, zip_derived_cl142])). 46.85/7.26 thf(zip_derived_cl340, plain, 46.85/7.26 ((~ (((!!) @ (^[Y0 : a]: 46.85/7.26 ((((('#sk69' @ ('#sk136' @ '#sk69')) & ('#sk2' @ 46.85/7.26 ('#sk136' @ '#sk69') @ Y0))) => 46.85/7.26 ('#sk69' @ Y0)))))) 46.85/7.26 | ('#form34') 46.85/7.26 | ('#form89') 46.85/7.26 | ~ ('#form205' @ '#sk69'))), 46.85/7.26 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl339])). 46.85/7.26 thf(zip_derived_cl341, plain, 46.85/7.26 ((~ ((((('#sk69' @ ('#sk136' @ '#sk69')) & ('#sk2' @ 46.85/7.26 ('#sk136' @ '#sk69') @ ('#sk155' @ '#sk69')))) => 46.85/7.26 ('#sk69' @ ('#sk155' @ '#sk69')))) 46.85/7.26 | ~ ('#form205' @ '#sk69') 46.85/7.26 | ('#form89') 46.85/7.26 | ('#form34'))), 46.85/7.26 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl340])). 46.85/7.26 thf(zip_derived_cl343, plain, 46.85/7.26 ((~ ('#sk69' @ ('#sk155' @ '#sk69')) 46.85/7.26 | ('#form34') 46.85/7.26 | ('#form89') 46.85/7.26 | ~ ('#form205' @ '#sk69'))), 46.85/7.26 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl341])). 46.85/7.26 thf(zip_derived_cl342, plain, 46.85/7.26 (( ((('#sk69' @ ('#sk136' @ '#sk69')) & ('#sk2' @ ('#sk136' @ '#sk69') @ 46.85/7.26 ('#sk155' @ '#sk69')))) 46.85/7.26 | ('#form34') 46.85/7.26 | ('#form89') 46.85/7.26 | ~ ('#form205' @ '#sk69'))), 46.85/7.26 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl341])). 46.85/7.26 thf(zip_derived_cl344, plain, 46.85/7.26 (( ('#sk69' @ ('#sk136' @ '#sk69')) 46.85/7.26 | ~ ('#form205' @ '#sk69') 46.85/7.26 | ('#form89') 46.85/7.26 | ('#form34'))), 46.85/7.26 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl342])). 46.85/7.26 thf(zip_derived_cl345, plain, 46.85/7.26 (( ('#sk2' @ ('#sk136' @ '#sk69') @ ('#sk155' @ '#sk69')) 46.85/7.26 | ~ ('#form205' @ '#sk69') 46.85/7.26 | ('#form89') 46.85/7.26 | ('#form34'))), 46.85/7.26 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl342])). 46.85/7.26 thf(zip_derived_cl133, plain, 46.85/7.26 (![X2 : a, X4 : a]: 46.85/7.26 (~ ('#sk2' @ X2 @ X4) 46.85/7.26 | ('#sk69' @ X4) 46.85/7.26 | ('#form34') 46.85/7.26 | ~ ('#sk69' @ X2))), 46.85/7.26 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl123])). 46.85/7.26 thf(zip_derived_cl142, plain, 46.85/7.26 (![X2 : a > $o]: 46.85/7.26 ( ('#form205' @ X2) 46.85/7.26 | ~ (((!!) @ (^[Y0 : a]: ((('#sk2' @ '#sk35' @ Y0) => (X2 @ Y0)))))))), 46.85/7.26 define([status(thm)])). 46.85/7.26 thf(zip_derived_cl143, plain, 46.85/7.26 (![X2 : a > $o]: 46.85/7.26 (~ ((('#sk2' @ '#sk35' @ ('#sk206' @ X2)) => (X2 @ ('#sk206' @ X2)))) 46.85/7.26 | ('#form205' @ X2))), 46.85/7.26 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl142])). 46.85/7.26 thf(zip_derived_cl152, plain, 46.85/7.26 (![X2 : a > $o]: 46.85/7.26 ( ('#sk2' @ '#sk35' @ ('#sk206' @ X2)) | ('#form205' @ X2))), 46.85/7.26 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl143])). 46.85/7.26 thf(zip_derived_cl153, plain, 46.85/7.26 (![X2 : a > $o]: (~ (X2 @ ('#sk206' @ X2)) | ('#form205' @ X2))), 46.85/7.26 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl143])). 46.85/7.26 thf(zip_derived_cl111, plain, 46.85/7.26 (![X2 : a]: (~ ('#sk2' @ '#sk35' @ X2) | ('#form34') | ('#sk69' @ X2))), 46.85/7.26 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl102])). 46.85/7.26 thf(zip_derived_cl7959, plain, ($false), 46.85/7.26 inference('eprover', [status(thm)], 46.85/7.26 [zip_derived_cl76, zip_derived_cl149, zip_derived_cl170, 46.85/7.26 zip_derived_cl159, zip_derived_cl171, zip_derived_cl199, 46.85/7.26 zip_derived_cl272, zip_derived_cl157, zip_derived_cl270, 46.85/7.26 zip_derived_cl198, zip_derived_cl125, zip_derived_cl22, 46.85/7.26 zip_derived_cl23, zip_derived_cl118, zip_derived_cl117, 46.85/7.26 zip_derived_cl166, zip_derived_cl110, zip_derived_cl167, 46.85/7.26 zip_derived_cl33, zip_derived_cl32, zip_derived_cl78, 46.85/7.26 zip_derived_cl135, zip_derived_cl66, zip_derived_cl60, 46.85/7.26 zip_derived_cl91, zip_derived_cl155, zip_derived_cl139, 46.85/7.26 zip_derived_cl138, zip_derived_cl164, zip_derived_cl134, 46.85/7.26 zip_derived_cl165, zip_derived_cl343, zip_derived_cl344, 46.85/7.26 zip_derived_cl345, zip_derived_cl133, zip_derived_cl152, 46.85/7.26 zip_derived_cl153, zip_derived_cl111])). 46.85/7.26 46.85/7.26 % SZS output end Refutation 46.85/7.26 46.85/7.26 46.85/7.26 % Terminating... 47.58/7.38 % Runner terminated. 47.58/7.38 % Zipperpin 1.5 exiting 47.58/7.39 EOF