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.S5HepdBvtj true 0.13/0.33 % Computer : n027.cluster.edu 0.13/0.33 % Model : x86_64 x86_64 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.13/0.33 % Memory : 8042.1875MB 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64 0.13/0.33 % CPULimit : 1440 0.13/0.33 % WCLimit : 180 0.13/0.33 % DateTime : Mon Jul 3 04:55:16 EDT 2023 0.13/0.33 % CPUTime : 0.13/0.33 % Running portfolio for 1440 s 0.13/0.33 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p 0.13/0.34 % Number of cores: 8 0.13/0.34 % Python version: Python 3.6.8 0.13/0.34 % Running in HO mode 0.49/0.62 % Total configuration time : 828 0.49/0.62 % Estimated wc time : 1656 0.49/0.62 % Estimated cpu time (8 cpus) : 207.0 0.52/0.68 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s 0.52/0.68 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s 0.52/0.69 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s 0.52/0.71 % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s 0.52/0.72 % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s 0.52/0.73 % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s 0.52/0.73 % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s 0.52/0.73 % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s 236.35/30.74 % /export/starexec/sandbox2/solver/bin/lams/30_b.l.sh running for 90s 314.96/40.88 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif.sh running for 56s 344.64/44.71 % Solved by lams/30_b.l.sh. 344.64/44.71 % done 487 iterations in 13.730s 344.64/44.71 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p' 344.64/44.71 % SZS output start Refutation 344.64/44.71 thf(a_type, type, a: $tType). 344.64/44.71 thf('#sk12_type', type, '#sk12': a). 344.64/44.71 thf('#sk20_type', type, '#sk20': a > $o). 344.64/44.71 thf('#sk16_type', type, '#sk16': a > $o). 344.64/44.71 thf('#sk30_type', type, '#sk30': (a > $o) > a). 344.64/44.71 thf('#sk6_type', type, '#sk6': a). 344.64/44.71 thf('#sk296_type', type, '#sk296': (a > $o) > a). 344.64/44.71 thf('#form82_type', type, '#form82': (a > $o) > $o). 344.64/44.71 thf('#form201_type', type, '#form201': $o). 344.64/44.71 thf('#sk5_type', type, '#sk5': a > $o). 344.64/44.71 thf('#sk4_type', type, '#sk4': a). 344.64/44.71 thf('#sk89_type', type, '#sk89': (a > $o) > a). 344.64/44.71 thf('#form139_type', type, '#form139': (a > $o) > $o). 344.64/44.71 thf('#form232_type', type, '#form232': (a > $o) > $o). 344.64/44.71 thf('#sk140_type', type, '#sk140': (a > $o) > a). 344.64/44.71 thf('#sk69_type', type, '#sk69': (a > $o) > a). 344.64/44.71 thf('#form9_type', type, '#form9': $o). 344.64/44.71 thf('#form285_type', type, '#form285': (a > $o) > $o). 344.64/44.71 thf('#form11_type', type, '#form11': $o). 344.64/44.71 thf('#sk8_type', type, '#sk8': a). 344.64/44.71 thf('#form160_type', type, '#form160': a > a > $o). 344.64/44.71 thf('#sk277_type', type, '#sk277': (a > $o) > a). 344.64/44.71 thf('#sk49_type', type, '#sk49': (a > $o) > a). 344.64/44.71 thf('#sk3_type', type, '#sk3': a). 344.64/44.71 thf('#sk75_type', type, '#sk75': (a > $o) > a). 344.64/44.71 thf('#sk7_type', type, '#sk7': a). 344.64/44.71 thf('#sk1_type', type, '#sk1': a > a > $o). 344.64/44.71 thf('#sk122_type', type, '#sk122': (a > $o) > a). 344.64/44.71 thf('#sk42_type', type, '#sk42': (a > $o) > a). 344.64/44.71 thf('#form129_type', type, '#form129': (a > $o) > $o). 344.64/44.71 thf('#sk2_type', type, '#sk2': a > a > $o). 344.64/44.71 thf('#sk53_type', type, '#sk53': (a > $o) > a). 344.64/44.71 thf('#sk130_type', type, '#sk130': (a > $o) > a). 344.64/44.71 thf('#sk10_type', type, '#sk10': a). 344.64/44.71 thf('#sk83_type', type, '#sk83': (a > $o) > a). 344.64/44.71 thf('#sk233_type', type, '#sk233': (a > $o) > a). 344.64/44.71 thf('#sk286_type', type, '#sk286': (a > $o) > a). 344.64/44.71 thf(cTHM251D_pme, conjecture, 344.64/44.71 (![R:( a > a > $o ),S:( a > a > $o ),Xx:a,Xy:a]: 344.64/44.71 ( ( ( ( ![Xx0:a,Xy0:a,Xz:a]: 344.64/44.71 ( ( ( ![Xq:( a > $o )]: 344.64/44.71 ( ( ( ![Xu:a,Xv:a]: 344.64/44.71 ( ( ( ( R @ Xu @ Xv ) | ( S @ Xu @ Xv ) ) & 344.64/44.71 ( Xq @ Xu ) ) => 344.64/44.71 ( Xq @ Xv ) ) ) & 344.64/44.71 ( ![Xw:a]: 344.64/44.71 ( ( ( S @ Xx0 @ Xw ) | ( R @ Xx0 @ Xw ) ) => 344.64/44.71 ( Xq @ Xw ) ) ) ) => 344.64/44.71 ( Xq @ Xy0 ) ) ) & 344.64/44.71 ( ![Xq:( a > $o )]: 344.64/44.71 ( ( ( ![Xu:a,Xv:a]: 344.64/44.71 ( ( ( Xq @ Xu ) & 344.64/44.71 ( ( R @ Xu @ Xv ) | ( S @ Xu @ Xv ) ) ) => 344.64/44.71 ( Xq @ Xv ) ) ) & 344.64/44.71 ( ![Xw:a]: 344.64/44.71 ( ( ( S @ Xy0 @ Xw ) | ( R @ Xy0 @ Xw ) ) => 344.64/44.71 ( Xq @ Xw ) ) ) ) => 344.64/44.71 ( Xq @ Xz ) ) ) ) => 344.64/44.71 ( ![Xq:( a > $o )]: 344.64/44.71 ( ( ( ![Xw:a]: 344.64/44.71 ( ( ( S @ Xx0 @ Xw ) | ( R @ Xx0 @ Xw ) ) => ( Xq @ Xw ) ) ) & 344.64/44.71 ( ![Xu:a,Xv:a]: 344.64/44.71 ( ( ( Xq @ Xu ) & ( ( R @ Xu @ Xv ) | ( S @ Xu @ Xv ) ) ) => 344.64/44.71 ( Xq @ Xv ) ) ) ) => 344.64/44.71 ( Xq @ Xz ) ) ) ) ) & 344.64/44.71 ( ![Xx0:a,Xy0:a]: 344.64/44.71 ( ( ( ![Xq:( a > $o )]: 344.64/44.71 ( ( ( ![Xu:a,Xv:a]: 344.64/44.71 ( ( ( Xq @ Xu ) & ( S @ Xu @ Xv ) ) => ( Xq @ Xv ) ) ) & 344.64/44.71 ( ![Xw:a]: ( ( S @ Xx0 @ Xw ) => ( Xq @ Xw ) ) ) ) => 344.64/44.71 ( Xq @ Xy0 ) ) ) | 344.64/44.71 ( ![Xq:( a > $o )]: 344.64/44.71 ( ( ( ![Xw:a]: ( ( R @ Xx0 @ Xw ) => ( Xq @ Xw ) ) ) & 344.64/44.71 ( ![Xu:a,Xv:a]: 344.64/44.71 ( ( ( Xq @ Xu ) & ( R @ Xu @ Xv ) ) => ( Xq @ Xv ) ) ) ) => 344.64/44.71 ( Xq @ Xy0 ) ) ) ) => 344.64/44.71 ( ![Xq:( a > $o )]: 344.64/44.71 ( ( ( ![Xu:a,Xv:a]: 344.64/44.71 ( ( ( Xq @ Xu ) & ( ( R @ Xu @ Xv ) | ( S @ Xu @ Xv ) ) ) => 344.64/44.71 ( Xq @ Xv ) ) ) & 344.64/44.71 ( ![Xw:a]: 344.64/44.71 ( ( ( R @ Xx0 @ Xw ) | ( S @ Xx0 @ Xw ) ) => ( Xq @ Xw ) ) ) ) => 344.64/44.71 ( Xq @ Xy0 ) ) ) ) ) ) => 344.64/44.71 ( ![Xq:( a > $o )]: 344.64/44.71 ( ( ( ![Xu:a,Xv:a]: 344.64/44.71 ( ( ( ( S @ Xu @ Xv ) | ( R @ Xu @ Xv ) ) & ( Xq @ Xu ) ) => 344.64/44.71 ( Xq @ Xv ) ) ) & 344.64/44.71 ( ![Xw:a]: 344.64/44.71 ( ( ( S @ Xx @ Xw ) | ( R @ Xx @ Xw ) ) => ( Xq @ Xw ) ) ) ) => 344.64/44.71 ( Xq @ Xy ) ) ) ) => 344.64/44.71 ( ![Xq:( a > $o )]: 344.64/44.71 ( ( ( ![Xw:a]: 344.64/44.71 ( ( ( R @ Xx @ Xw ) | ( S @ Xx @ Xw ) ) => ( Xq @ Xw ) ) ) & 344.64/44.71 ( ![Xu:a,Xv:a]: 344.64/44.71 ( ( ( Xq @ Xu ) & ( ( R @ Xu @ Xv ) | ( S @ Xu @ Xv ) ) ) => 344.64/44.71 ( Xq @ Xv ) ) ) ) => 344.64/44.71 ( Xq @ Xy ) ) ) ))). 344.64/44.71 thf(zf_stmt_0, negated_conjecture, 344.64/44.71 (~( ![R:( a > a > $o ),S:( a > a > $o ),Xx:a,Xy:a]: 344.64/44.71 ( ( ( ( ![Xx0:a,Xy0:a,Xz:a]: 344.64/44.71 ( ( ( ![Xq:( a > $o )]: 344.64/44.71 ( ( ( ![Xu:a,Xv:a]: 344.64/44.71 ( ( ( ( R @ Xu @ Xv ) | ( S @ Xu @ Xv ) ) & 344.64/44.71 ( Xq @ Xu ) ) => 344.64/44.71 ( Xq @ Xv ) ) ) & 344.64/44.71 ( ![Xw:a]: 344.64/44.71 ( ( ( S @ Xx0 @ Xw ) | ( R @ Xx0 @ Xw ) ) => 344.64/44.71 ( Xq @ Xw ) ) ) ) => 344.64/44.71 ( Xq @ Xy0 ) ) ) & 344.64/44.71 ( ![Xq:( a > $o )]: 344.64/44.71 ( ( ( ![Xu:a,Xv:a]: 344.64/44.71 ( ( ( Xq @ Xu ) & 344.64/44.71 ( ( R @ Xu @ Xv ) | ( S @ Xu @ Xv ) ) ) => 344.64/44.71 ( Xq @ Xv ) ) ) & 344.64/44.71 ( ![Xw:a]: 344.64/44.71 ( ( ( S @ Xy0 @ Xw ) | ( R @ Xy0 @ Xw ) ) => 344.64/44.71 ( Xq @ Xw ) ) ) ) => 344.64/44.71 ( Xq @ Xz ) ) ) ) => 344.64/44.71 ( ![Xq:( a > $o )]: 344.64/44.71 ( ( ( ![Xw:a]: 344.64/44.71 ( ( ( S @ Xx0 @ Xw ) | ( R @ Xx0 @ Xw ) ) => 344.64/44.71 ( Xq @ Xw ) ) ) & 344.64/44.71 ( ![Xu:a,Xv:a]: 344.64/44.71 ( ( ( Xq @ Xu ) & 344.64/44.71 ( ( R @ Xu @ Xv ) | ( S @ Xu @ Xv ) ) ) => 344.64/44.71 ( Xq @ Xv ) ) ) ) => 344.64/44.71 ( Xq @ Xz ) ) ) ) ) & 344.64/44.71 ( ![Xx0:a,Xy0:a]: 344.64/44.71 ( ( ( ![Xq:( a > $o )]: 344.64/44.71 ( ( ( ![Xu:a,Xv:a]: 344.64/44.71 ( ( ( Xq @ Xu ) & ( S @ Xu @ Xv ) ) => ( Xq @ Xv ) ) ) & 344.64/44.71 ( ![Xw:a]: ( ( S @ Xx0 @ Xw ) => ( Xq @ Xw ) ) ) ) => 344.64/44.71 ( Xq @ Xy0 ) ) ) | 344.64/44.71 ( ![Xq:( a > $o )]: 344.64/44.71 ( ( ( ![Xw:a]: ( ( R @ Xx0 @ Xw ) => ( Xq @ Xw ) ) ) & 344.64/44.71 ( ![Xu:a,Xv:a]: 344.64/44.71 ( ( ( Xq @ Xu ) & ( R @ Xu @ Xv ) ) => ( Xq @ Xv ) ) ) ) => 344.64/44.71 ( Xq @ Xy0 ) ) ) ) => 344.64/44.71 ( ![Xq:( a > $o )]: 344.64/44.71 ( ( ( ![Xu:a,Xv:a]: 344.64/44.71 ( ( ( Xq @ Xu ) & 344.64/44.71 ( ( R @ Xu @ Xv ) | ( S @ Xu @ Xv ) ) ) => 344.64/44.71 ( Xq @ Xv ) ) ) & 344.64/44.71 ( ![Xw:a]: 344.64/44.71 ( ( ( R @ Xx0 @ Xw ) | ( S @ Xx0 @ Xw ) ) => 344.64/44.71 ( Xq @ Xw ) ) ) ) => 344.64/44.71 ( Xq @ Xy0 ) ) ) ) ) ) => 344.64/44.71 ( ![Xq:( a > $o )]: 344.64/44.71 ( ( ( ![Xu:a,Xv:a]: 344.64/44.71 ( ( ( ( S @ Xu @ Xv ) | ( R @ Xu @ Xv ) ) & ( Xq @ Xu ) ) => 344.64/44.71 ( Xq @ Xv ) ) ) & 344.64/44.71 ( ![Xw:a]: 344.64/44.71 ( ( ( S @ Xx @ Xw ) | ( R @ Xx @ Xw ) ) => ( Xq @ Xw ) ) ) ) => 344.64/44.71 ( Xq @ Xy ) ) ) ) => 344.64/44.71 ( ![Xq:( a > $o )]: 344.64/44.71 ( ( ( ![Xw:a]: 344.64/44.71 ( ( ( R @ Xx @ Xw ) | ( S @ Xx @ Xw ) ) => ( Xq @ Xw ) ) ) & 344.64/44.71 ( ![Xu:a,Xv:a]: 344.64/44.71 ( ( ( Xq @ Xu ) & ( ( R @ Xu @ Xv ) | ( S @ Xu @ Xv ) ) ) => 344.64/44.71 ( Xq @ Xv ) ) ) ) => 344.64/44.71 ( Xq @ Xy ) ) ) ) )), 344.64/44.71 inference('cnf.neg', [status(esa)], [cTHM251D_pme])). 344.64/44.71 thf(zip_derived_cl0, plain, 344.64/44.71 (~ (((!!) @ (^[Y0 : a > a > $o]: 344.64/44.71 (((!!) @ (^[Y1 : a > a > $o]: 344.64/44.71 (((!!) @ (^[Y2 : a]: 344.64/44.71 (((!!) @ (^[Y3 : a]: 344.64/44.71 (((((((((!!) @ ( 344.64/44.71 ^[Y4 : a]: 344.64/44.71 (((!!) @ ( 344.64/44.71 ^[Y5 : a]: 344.64/44.71 (( 344.64/44.71 (!!) @ ( 344.64/44.71 ^[Y6 : a]: 344.64/44.71 (( 344.64/44.71 (( 344.64/44.71 (( 344.64/44.71 (!!) @ ( 344.64/44.71 ^[Y7 : a > $o]: 344.64/44.71 (( 344.64/44.71 (( 344.64/44.71 (( 344.64/44.71 (!!) @ ( 344.64/44.71 ^[Y8 : a]: 344.64/44.71 (( 344.64/44.71 (!!) @ ( 344.64/44.71 ^[Y9 : a]: 344.64/44.71 (( 344.64/44.71 (( 344.64/44.71 (( 344.64/44.71 (Y0 @ 344.64/44.71 Y8 @ 344.64/44.71 Y9) | 344.64/44.71 (Y1 @ 344.64/44.71 Y8 @ Y9))) & 344.64/44.71 (Y7 @ Y8))) => 344.64/44.71 (Y7 @ Y9))))))))) & 344.64/44.71 (( 344.64/44.71 (!!) @ ( 344.64/44.71 ^[Y8 : a]: 344.64/44.71 (( 344.64/44.71 (( 344.64/44.71 (Y1 @ 344.64/44.71 Y4 @ 344.64/44.71 Y8) | 344.64/44.71 (Y0 @ 344.64/44.71 Y4 @ Y8))) => 344.64/44.71 (Y7 @ Y8)))))))) => 344.64/44.71 (Y7 @ Y5)))))) & 344.64/44.71 (( 344.64/44.71 (!!) @ ( 344.64/44.71 ^[Y7 : a > $o]: 344.64/44.71 (( 344.64/44.71 (( 344.64/44.71 (( 344.64/44.71 (!!) @ ( 344.64/44.71 ^[Y8 : a]: 344.64/44.71 (( 344.64/44.71 (!!) @ ( 344.64/44.71 ^[Y9 : a]: 344.64/44.71 (( 344.64/44.71 (( 344.64/44.71 (Y7 @ 344.64/44.71 Y8) & 344.64/44.71 (( 344.64/44.71 (Y0 @ 344.64/44.71 Y8 @ 344.64/44.71 Y9) | 344.64/44.71 (Y1 @ 344.64/44.71 Y8 @ Y9))))) => 344.64/44.71 (Y7 @ Y9))))))))) & 344.64/44.71 (( 344.64/44.71 (!!) @ ( 344.64/44.71 ^[Y8 : a]: 344.64/44.71 (( 344.64/44.71 (( 344.64/44.71 (Y1 @ 344.64/44.71 Y5 @ 344.64/44.71 Y8) | 344.64/44.71 (Y0 @ 344.64/44.71 Y5 @ Y8))) => 344.64/44.71 (Y7 @ Y8)))))))) => 344.64/44.71 (Y7 @ Y6)))))))) => 344.64/44.71 (( 344.64/44.71 (!!) @ ( 344.64/44.71 ^[Y7 : a > $o]: 344.64/44.71 (( 344.64/44.71 (( 344.64/44.71 (( 344.64/44.71 (!!) @ ( 344.64/44.71 ^[Y8 : a]: 344.64/44.71 (( 344.64/44.71 (( 344.64/44.71 (Y1 @ 344.64/44.71 Y4 @ 344.64/44.71 Y8) | 344.64/44.71 (Y0 @ 344.64/44.71 Y4 @ Y8))) => 344.64/44.71 (Y7 @ Y8)))))) & 344.64/44.71 (( 344.64/44.71 (!!) @ ( 344.64/44.71 ^[Y8 : a]: 344.64/44.71 (( 344.64/44.71 (!!) @ ( 344.64/44.71 ^[Y9 : a]: 344.64/44.71 (( 344.64/44.71 (( 344.64/44.71 (Y7 @ 344.64/44.71 Y8) & 344.64/44.71 (( 344.64/44.71 (Y0 @ 344.64/44.71 Y8 @ 344.64/44.71 Y9) | 344.64/44.71 (Y1 @ 344.64/44.71 Y8 @ Y9))))) => 344.64/44.71 (Y7 @ Y9))))))))))) => 344.64/44.71 (Y7 @ Y6))))))))))))))))) & 344.64/44.71 (((!!) @ ( 344.64/44.71 ^[Y4 : a]: 344.64/44.71 (((!!) @ ( 344.64/44.71 ^[Y5 : a]: 344.64/44.71 (( 344.64/44.71 (( 344.64/44.71 (( 344.64/44.71 (!!) @ ( 344.64/44.71 ^[Y6 : a > $o]: 344.64/44.71 (( 344.64/44.71 (( 344.64/44.71 (( 344.64/44.71 (!!) @ ( 344.64/44.71 ^[Y7 : a]: 344.64/44.71 (( 344.64/44.71 (!!) @ ( 344.64/44.71 ^[Y8 : a]: 344.64/44.71 (( 344.64/44.71 (( 344.64/44.71 (Y6 @ 344.64/44.71 Y7) & 344.64/44.71 (Y1 @ 344.64/44.71 Y7 @ Y8))) => 344.64/44.71 (Y6 @ Y8))))))))) & 344.64/44.71 (( 344.64/44.71 (!!) @ ( 344.64/44.71 ^[Y7 : a]: 344.64/44.71 (( 344.64/44.71 (Y1 @ 344.64/44.71 Y4 @ 344.64/44.71 Y7) => 344.64/44.71 (Y6 @ Y7)))))))) => 344.64/44.71 (Y6 @ Y5)))))) | 344.64/44.71 (( 344.64/44.71 (!!) @ ( 344.64/44.71 ^[Y6 : a > $o]: 344.64/44.71 (( 344.64/44.71 (( 344.64/44.71 (( 344.64/44.71 (!!) @ ( 344.64/44.71 ^[Y7 : a]: 344.64/44.71 (( 344.64/44.71 (Y0 @ 344.64/44.71 Y4 @ 344.64/44.71 Y7) => 344.64/44.71 (Y6 @ Y7)))))) & 344.64/44.71 (( 344.64/44.71 (!!) @ ( 344.64/44.71 ^[Y7 : a]: 344.64/44.71 (( 344.64/44.71 (!!) @ ( 344.64/44.71 ^[Y8 : a]: 344.64/44.71 (( 344.64/44.71 (( 344.64/44.71 (Y6 @ 344.64/44.71 Y7) & 344.64/44.71 (Y0 @ 344.64/44.71 Y7 @ Y8))) => 344.64/44.71 (Y6 @ Y8))))))))))) => 344.64/44.71 (Y6 @ Y5)))))))) => 344.64/44.71 (( 344.64/44.71 (!!) @ ( 344.64/44.71 ^[Y6 : a > $o]: 344.64/44.71 (( 344.64/44.71 (( 344.64/44.71 (( 344.64/44.71 (!!) @ ( 344.64/44.71 ^[Y7 : a]: 344.64/44.71 (( 344.64/44.71 (!!) @ ( 344.64/44.71 ^[Y8 : a]: 344.64/44.71 (( 344.64/44.71 (( 344.64/44.71 (Y6 @ 344.64/44.71 Y7) & 344.64/44.71 (( 344.64/44.71 (Y0 @ 344.64/44.71 Y7 @ 344.64/44.71 Y8) | 344.64/44.71 (Y1 @ 344.64/44.71 Y7 @ Y8))))) => 344.64/44.71 (Y6 @ Y8))))))))) & 344.64/44.71 (( 344.64/44.71 (!!) @ ( 344.64/44.71 ^[Y7 : a]: 344.64/44.71 (( 344.64/44.71 (( 344.64/44.71 (Y0 @ 344.64/44.71 Y4 @ 344.64/44.71 Y7) | 344.64/44.71 (Y1 @ 344.64/44.71 Y4 @ Y7))) => 344.64/44.71 (Y6 @ Y7)))))))) => 344.64/44.71 (Y6 @ Y5)))))))))))))))) => 344.64/44.71 (((!!) @ ( 344.64/44.71 ^[Y4 : a > $o]: 344.64/44.71 (((((( 344.64/44.71 (!!) @ ( 344.64/44.71 ^[Y5 : a]: 344.64/44.71 (( 344.64/44.71 (!!) @ ( 344.64/44.71 ^[Y6 : a]: 344.64/44.71 (( 344.64/44.71 (( 344.64/44.71 (( 344.64/44.71 (Y1 @ 344.64/44.71 Y5 @ 344.64/44.71 Y6) | 344.64/44.71 (Y0 @ 344.64/44.71 Y5 @ Y6))) & 344.64/44.71 (Y4 @ Y5))) => 344.64/44.71 (Y4 @ Y6))))))))) & 344.64/44.71 (( 344.64/44.71 (!!) @ ( 344.64/44.71 ^[Y5 : a]: 344.64/44.71 (( 344.64/44.71 (( 344.64/44.71 (Y1 @ 344.64/44.71 Y2 @ 344.64/44.71 Y5) | 344.64/44.71 (Y0 @ 344.64/44.71 Y2 @ Y5))) => 344.64/44.71 (Y4 @ Y5)))))))) => 344.64/44.71 (Y4 @ Y3)))))))) => 344.64/44.71 (((!!) @ (^[Y4 : a > $o]: 344.64/44.71 (( 344.64/44.71 (( 344.64/44.71 (( 344.64/44.71 (!!) @ ( 344.64/44.71 ^[Y5 : a]: 344.64/44.71 (( 344.64/44.71 (( 344.64/44.71 (Y0 @ 344.64/44.71 Y2 @ 344.64/44.71 Y5) | 344.64/44.71 (Y1 @ 344.64/44.71 Y2 @ Y5))) => 344.64/44.71 (Y4 @ Y5)))))) & 344.64/44.71 (( 344.64/44.71 (!!) @ ( 344.64/44.71 ^[Y5 : a]: 344.64/44.71 (( 344.64/44.71 (!!) @ ( 344.64/44.71 ^[Y6 : a]: 344.64/44.71 (( 344.64/44.71 (( 344.64/44.71 (Y4 @ 344.64/44.71 Y5) & 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| 344.64/44.72 ('#sk2' @ Y1 @ Y2))))) => 344.64/44.72 (Y0 @ Y2))))))))) & 344.64/44.72 (((!!) @ (^[Y1 : a]: 344.64/44.72 ((((('#sk1' @ '#sk10' @ Y1) | 344.64/44.72 ('#sk2' @ '#sk10' @ Y1))) => 344.64/44.72 (Y0 @ Y1)))))))) => 344.64/44.72 (Y0 @ '#sk12')))))))) 344.64/44.72 | ('#form9'))), 344.64/44.72 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl27])). 344.64/44.72 thf(zip_derived_cl41, plain, 344.64/44.72 (( (((((!!) @ (^[Y0 : a > $o]: 344.64/44.72 (((((((!!) @ (^[Y1 : a]: 344.64/44.72 (((!!) @ (^[Y2 : a]: 344.64/44.72 (((((Y0 @ Y1) & ('#sk2' @ 344.64/44.72 Y1 @ Y2))) => 344.64/44.72 (Y0 @ Y2))))))))) & 344.64/44.72 (((!!) @ (^[Y1 : a]: 344.64/44.72 ((('#sk2' @ '#sk10' @ Y1) => (Y0 @ Y1)))))))) => 344.64/44.72 (Y0 @ '#sk12')))))) | 344.64/44.72 (((!!) @ (^[Y0 : a > $o]: 344.64/44.72 (((((((!!) @ (^[Y1 : a]: 344.64/44.72 ((('#sk1' @ '#sk10' @ Y1) => (Y0 @ Y1)))))) & 344.64/44.72 (((!!) @ (^[Y1 : a]: 344.64/44.72 (((!!) @ (^[Y2 : a]: 344.64/44.72 (((((Y0 @ Y1) & ('#sk1' @ 344.64/44.72 Y1 @ Y2))) => 344.64/44.72 (Y0 @ Y2))))))))))) => 344.64/44.72 (Y0 @ '#sk12')))))))) 344.64/44.72 | ('#form9'))), 344.64/44.72 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl34])). 344.64/44.72 thf(zip_derived_cl47, plain, 344.64/44.72 (( (((!!) @ (^[Y0 : a > $o]: 344.64/44.72 (((((((!!) @ (^[Y1 : a]: 344.64/44.72 (((!!) @ (^[Y2 : a]: 344.64/44.72 (((((Y0 @ Y1) & ('#sk2' @ 344.64/44.72 Y1 @ Y2))) => 344.64/44.72 (Y0 @ Y2))))))))) & 344.64/44.72 (((!!) @ (^[Y1 : a]: 344.64/44.72 ((('#sk2' @ '#sk10' @ Y1) => (Y0 @ Y1)))))))) => 344.64/44.72 (Y0 @ '#sk12')))))) 344.64/44.72 | (((!!) @ (^[Y0 : a > $o]: 344.64/44.72 (((((((!!) @ (^[Y1 : a]: 344.64/44.72 ((('#sk1' @ '#sk10' @ Y1) => (Y0 @ Y1)))))) & 344.64/44.72 (((!!) @ (^[Y1 : a]: 344.64/44.72 (((!!) @ (^[Y2 : a]: 344.64/44.72 (((((Y0 @ Y1) & ('#sk1' @ 344.64/44.72 Y1 @ Y2))) => 344.64/44.72 (Y0 @ Y2))))))))))) => 344.64/44.72 (Y0 @ '#sk12')))))) 344.64/44.72 | ('#form9'))), 344.64/44.72 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl41])). 344.64/44.72 thf(zip_derived_cl54, plain, 344.64/44.72 (![X2 : a > $o]: 344.64/44.72 ( (((((((!!) @ (^[Y0 : a]: 344.64/44.72 (((!!) @ (^[Y1 : a]: 344.64/44.72 (((((X2 @ Y0) & ('#sk2' @ Y0 @ Y1))) => 344.64/44.72 (X2 @ Y1))))))))) & 344.64/44.72 (((!!) @ (^[Y0 : a]: ((('#sk2' @ '#sk10' @ Y0) => (X2 @ Y0)))))))) => 344.64/44.72 (X2 @ '#sk12'))) 344.64/44.72 | ('#form9') 344.64/44.72 | (((!!) @ (^[Y0 : a > $o]: 344.64/44.72 (((((((!!) @ (^[Y1 : a]: 344.64/44.72 ((('#sk1' @ '#sk10' @ Y1) => (Y0 @ Y1)))))) & 344.64/44.72 (((!!) @ (^[Y1 : a]: 344.64/44.72 (((!!) @ (^[Y2 : a]: 344.64/44.72 (((((Y0 @ Y1) & ('#sk1' @ 344.64/44.72 Y1 @ Y2))) => 344.64/44.72 (Y0 @ Y2))))))))))) => 344.64/44.72 (Y0 @ '#sk12')))))))), 344.64/44.72 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl47])). 344.64/44.72 thf(zip_derived_cl62, plain, 344.64/44.72 (![X2 : a > $o]: 344.64/44.72 (~ (((((!!) @ (^[Y0 : a]: 344.64/44.72 (((!!) @ (^[Y1 : a]: 344.64/44.72 (((((X2 @ Y0) & ('#sk2' @ Y0 @ Y1))) => 344.64/44.72 (X2 @ Y1))))))))) & 344.64/44.72 (((!!) @ (^[Y0 : a]: ((('#sk2' @ '#sk10' @ Y0) => (X2 @ Y0)))))))) 344.64/44.72 | (X2 @ '#sk12') 344.64/44.72 | (((!!) @ (^[Y0 : a > $o]: 344.64/44.72 (((((((!!) @ (^[Y1 : a]: 344.64/44.72 ((('#sk1' @ '#sk10' @ Y1) => (Y0 @ Y1)))))) & 344.64/44.72 (((!!) @ (^[Y1 : a]: 344.64/44.72 (((!!) @ (^[Y2 : a]: 344.64/44.72 (((((Y0 @ Y1) & ('#sk1' @ 344.64/44.72 Y1 @ Y2))) => 344.64/44.72 (Y0 @ Y2))))))))))) => 344.64/44.72 (Y0 @ '#sk12')))))) 344.64/44.72 | ('#form9'))), 344.64/44.72 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl54])). 344.64/44.72 thf(zip_derived_cl71, plain, 344.64/44.72 (![X2 : a > $o]: 344.64/44.72 (~ (((!!) @ (^[Y0 : a]: 344.64/44.72 (((!!) @ (^[Y1 : a]: 344.64/44.72 (((((X2 @ Y0) & ('#sk2' @ Y0 @ Y1))) => 344.64/44.72 (X2 @ Y1))))))))) 344.64/44.72 | ~ (((!!) @ (^[Y0 : a]: ((('#sk2' @ '#sk10' @ Y0) => (X2 @ Y0)))))) 344.64/44.72 | ('#form9') 344.64/44.72 | (((!!) @ (^[Y0 : a > $o]: 344.64/44.72 (((((((!!) @ (^[Y1 : a]: 344.64/44.72 ((('#sk1' @ '#sk10' @ Y1) => (Y0 @ Y1)))))) & 344.64/44.72 (((!!) @ (^[Y1 : a]: 344.64/44.72 (((!!) @ (^[Y2 : a]: 344.64/44.72 (((((Y0 @ Y1) & ('#sk1' @ 344.64/44.72 Y1 @ Y2))) => 344.64/44.72 (Y0 @ Y2))))))))))) => 344.64/44.72 (Y0 @ '#sk12')))))) 344.64/44.72 | (X2 @ '#sk12'))), 344.64/44.72 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl62])). 344.64/44.72 thf(zip_derived_cl82, plain, 344.64/44.72 (![X2 : a > $o]: 344.64/44.72 (~ (((!!) @ (^[Y0 : a]: 344.64/44.72 (((((X2 @ ('#sk89' @ X2)) & ('#sk2' @ ('#sk89' @ X2) @ 344.64/44.72 Y0))) => 344.64/44.72 (X2 @ Y0)))))) 344.64/44.72 | (X2 @ '#sk12') 344.64/44.72 | (((!!) @ (^[Y0 : a > $o]: 344.64/44.72 (((((((!!) @ (^[Y1 : a]: 344.64/44.72 ((('#sk1' @ '#sk10' @ Y1) => (Y0 @ Y1)))))) & 344.64/44.72 (((!!) @ (^[Y1 : a]: 344.64/44.72 (((!!) @ (^[Y2 : a]: 344.64/44.72 (((((Y0 @ Y1) & ('#sk1' @ 344.64/44.72 Y1 @ Y2))) => 344.64/44.72 (Y0 @ Y2))))))))))) => 344.64/44.72 (Y0 @ '#sk12')))))) 344.64/44.72 | ('#form9') 344.64/44.72 | ~ (((!!) @ (^[Y0 : a]: ((('#sk2' @ '#sk10' @ Y0) => (X2 @ Y0)))))))), 344.64/44.72 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl71])). 344.64/44.72 thf(zip_derived_cl97, plain, 344.64/44.72 (![X2 : a > $o]: 344.64/44.72 (~ (((((X2 @ ('#sk89' @ X2)) & ('#sk2' @ ('#sk89' @ X2) @ 344.64/44.72 ('#sk122' @ X2)))) => 344.64/44.72 (X2 @ ('#sk122' @ X2)))) 344.64/44.72 | ~ (((!!) @ (^[Y0 : a]: ((('#sk2' @ '#sk10' @ Y0) => (X2 @ Y0)))))) 344.64/44.72 | ('#form9') 344.64/44.72 | (((!!) @ (^[Y0 : a > $o]: 344.64/44.72 (((((((!!) @ (^[Y1 : a]: 344.64/44.72 ((('#sk1' @ '#sk10' @ Y1) => (Y0 @ Y1)))))) & 344.64/44.72 (((!!) @ (^[Y1 : a]: 344.64/44.72 (((!!) @ (^[Y2 : a]: 344.64/44.72 (((((Y0 @ Y1) & ('#sk1' @ 344.64/44.72 Y1 @ Y2))) => 344.64/44.72 (Y0 @ Y2))))))))))) => 344.64/44.72 (Y0 @ '#sk12')))))) 344.64/44.72 | (X2 @ '#sk12'))), 344.64/44.72 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl82])). 344.64/44.72 thf(zip_derived_cl112, plain, 344.64/44.72 (![X2 : a > $o]: 344.64/44.72 ( (((X2 @ ('#sk89' @ X2)) & ('#sk2' @ ('#sk89' @ X2) @ 344.64/44.72 ('#sk122' @ X2)))) 344.64/44.72 | (X2 @ '#sk12') 344.64/44.72 | (((!!) @ (^[Y0 : a > $o]: 344.64/44.72 (((((((!!) @ (^[Y1 : a]: 344.64/44.72 ((('#sk1' @ '#sk10' @ Y1) => (Y0 @ Y1)))))) & 344.64/44.72 (((!!) @ (^[Y1 : a]: 344.64/44.72 (((!!) @ (^[Y2 : a]: 344.64/44.72 (((((Y0 @ Y1) & ('#sk1' @ 344.64/44.72 Y1 @ Y2))) => 344.64/44.72 (Y0 @ Y2))))))))))) => 344.64/44.72 (Y0 @ '#sk12')))))) 344.64/44.72 | ('#form9') 344.64/44.72 | ~ (((!!) @ (^[Y0 : a]: ((('#sk2' @ '#sk10' @ Y0) => (X2 @ Y0)))))))), 344.64/44.72 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl97])). 344.64/44.72 thf(zip_derived_cl129, plain, 344.64/44.72 ((~ ('#form201') 344.64/44.72 | (((!!) @ (^[Y0 : a > $o]: 344.64/44.72 (((((((!!) @ (^[Y1 : a]: 344.64/44.72 ((('#sk1' @ '#sk10' @ Y1) => (Y0 @ Y1)))))) & 344.64/44.72 (((!!) @ (^[Y1 : a]: 344.64/44.72 (((!!) @ (^[Y2 : a]: 344.64/44.72 (((((Y0 @ Y1) & ('#sk1' @ 344.64/44.72 Y1 @ Y2))) => 344.64/44.72 (Y0 @ Y2))))))))))) => 344.64/44.72 (Y0 @ '#sk12')))))))), 344.64/44.72 define([status(thm)])). 344.64/44.72 thf(zip_derived_cl130, plain, 344.64/44.72 (![X2 : a > $o]: 344.64/44.72 ( (((((((!!) @ (^[Y0 : a]: ((('#sk1' @ '#sk10' @ Y0) => (X2 @ Y0)))))) & 344.64/44.72 (((!!) @ (^[Y0 : a]: 344.64/44.72 (((!!) @ (^[Y1 : a]: 344.64/44.72 (((((X2 @ Y0) & ('#sk1' @ Y0 @ Y1))) => 344.64/44.72 (X2 @ Y1))))))))))) => 344.64/44.72 (X2 @ '#sk12'))) 344.64/44.72 | ~ ('#form201'))), 344.64/44.72 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl129])). 344.64/44.72 thf(zip_derived_cl143, plain, 344.64/44.72 (![X2 : a > $o]: 344.64/44.72 (~ (((((!!) @ (^[Y0 : a]: ((('#sk1' @ '#sk10' @ Y0) => (X2 @ Y0)))))) & 344.64/44.72 (((!!) @ (^[Y0 : a]: 344.64/44.72 (((!!) @ (^[Y1 : a]: 344.64/44.72 (((((X2 @ Y0) & ('#sk1' @ Y0 @ Y1))) => 344.64/44.72 (X2 @ Y1))))))))))) 344.64/44.72 | (X2 @ '#sk12') 344.64/44.72 | ~ ('#form201'))), 344.64/44.72 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl130])). 344.64/44.72 thf(zip_derived_cl149, plain, 344.64/44.72 (![X2 : a > $o]: 344.64/44.72 (~ (((!!) @ (^[Y0 : a]: ((('#sk1' @ '#sk10' @ Y0) => (X2 @ Y0)))))) 344.64/44.72 | ~ (((!!) @ (^[Y0 : a]: 344.64/44.72 (((!!) @ (^[Y1 : a]: 344.64/44.72 (((((X2 @ Y0) & ('#sk1' @ Y0 @ Y1))) => 344.64/44.72 (X2 @ Y1))))))))) 344.64/44.72 | ~ ('#form201') 344.64/44.72 | (X2 @ '#sk12'))), 344.64/44.72 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl143])). 344.64/44.72 thf(zip_derived_cl151, plain, 344.64/44.72 (![X2 : a > $o]: 344.64/44.72 (~ ((('#sk1' @ '#sk10' @ ('#sk277' @ X2)) => (X2 @ ('#sk277' @ X2)))) 344.64/44.72 | (X2 @ '#sk12') 344.64/44.72 | ~ ('#form201') 344.64/44.72 | ~ (((!!) @ (^[Y0 : a]: 344.64/44.72 (((!!) @ (^[Y1 : a]: 344.64/44.72 (((((X2 @ Y0) & ('#sk1' @ Y0 @ Y1))) => 344.64/44.72 (X2 @ Y1))))))))))), 344.64/44.72 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl149])). 344.64/44.72 thf(zip_derived_cl152, plain, 344.64/44.72 (![X2 : a > $o]: 344.64/44.72 ( ('#sk1' @ '#sk10' @ ('#sk277' @ X2)) 344.64/44.72 | ~ (((!!) @ (^[Y0 : a]: 344.64/44.72 (((!!) @ (^[Y1 : a]: 344.64/44.72 (((((X2 @ Y0) & ('#sk1' @ Y0 @ Y1))) => 344.64/44.72 (X2 @ Y1))))))))) 344.64/44.72 | ~ ('#form201') 344.64/44.72 | (X2 @ '#sk12'))), 344.64/44.72 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl151])). 344.64/44.72 thf(zip_derived_cl152, plain, 344.64/44.72 (![X2 : a > $o]: 344.64/44.72 ( ('#sk1' @ '#sk10' @ ('#sk277' @ X2)) 344.64/44.72 | ~ (((!!) @ (^[Y0 : a]: 344.64/44.72 (((!!) @ (^[Y1 : a]: 344.64/44.72 (((((X2 @ Y0) & ('#sk1' @ Y0 @ Y1))) => 344.64/44.72 (X2 @ Y1))))))))) 344.64/44.72 | ~ ('#form201') 344.64/44.72 | (X2 @ '#sk12'))), 344.64/44.72 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl151])). 344.64/44.72 thf(zip_derived_cl154, plain, 344.64/44.72 (![X2 : a > $o]: 344.64/44.72 ( ('#form285' @ X2) 344.64/44.72 | ~ (((!!) @ (^[Y0 : a]: 344.64/44.72 (((!!) @ (^[Y1 : a]: 344.64/44.72 (((((X2 @ Y0) & ('#sk1' @ Y0 @ Y1))) => 344.64/44.72 (X2 @ Y1))))))))))), 344.64/44.72 define([status(thm)])). 344.64/44.72 thf(zip_derived_cl156, plain, 344.64/44.72 (![X2 : a > $o]: 344.64/44.72 (~ ('#form285' @ X2) 344.64/44.72 | (X2 @ '#sk12') 344.64/44.72 | ~ ('#form201') 344.64/44.72 | ('#sk1' @ '#sk10' @ ('#sk277' @ X2)))), 344.64/44.72 inference('renaming', [status(thm)], 344.64/44.72 [zip_derived_cl152, zip_derived_cl154])). 344.64/44.72 thf(zip_derived_cl42, plain, 344.64/44.72 ((~ (((!!) @ (^[Y0 : a > $o]: 344.64/44.72 (((((((!!) @ (^[Y1 : a]: 344.64/44.72 (((!!) @ (^[Y2 : a]: 344.64/44.72 (((((Y0 @ Y1) & 344.64/44.72 ((('#sk1' @ Y1 @ Y2) | 344.64/44.72 ('#sk2' @ Y1 @ Y2))))) => 344.64/44.72 (Y0 @ Y2))))))))) & 344.64/44.72 (((!!) @ (^[Y1 : a]: 344.64/44.72 ((((('#sk1' @ '#sk10' @ Y1) | ('#sk2' @ 344.64/44.72 '#sk10' @ Y1))) => 344.64/44.72 (Y0 @ Y1)))))))) => 344.64/44.72 (Y0 @ '#sk12')))))) 344.64/44.72 | ('#form9'))), 344.64/44.72 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl34])). 344.64/44.72 thf(zip_derived_cl48, plain, 344.64/44.72 ((~ (((((((!!) @ (^[Y0 : a]: 344.64/44.72 (((!!) @ (^[Y1 : a]: 344.64/44.72 ((((('#sk20' @ Y0) & 344.64/44.72 ((('#sk1' @ Y0 @ Y1) | ('#sk2' @ 344.64/44.72 Y0 @ Y1))))) => 344.64/44.72 ('#sk20' @ Y1))))))))) & 344.64/44.72 (((!!) @ (^[Y0 : a]: 344.64/44.72 ((((('#sk1' @ '#sk10' @ Y0) | ('#sk2' @ '#sk10' @ Y0))) => 344.64/44.72 ('#sk20' @ Y0)))))))) => 344.64/44.72 ('#sk20' @ '#sk12'))) 344.64/44.72 | ('#form9'))), 344.64/44.72 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl42])). 344.64/44.72 thf(zip_derived_cl56, plain, ((~ ('#sk20' @ '#sk12') | ('#form9'))), 344.64/44.72 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl48])). 344.64/44.72 thf(zip_derived_cl112, plain, 344.64/44.72 (![X2 : a > $o]: 344.64/44.72 ( (((X2 @ ('#sk89' @ X2)) & ('#sk2' @ ('#sk89' @ X2) @ 344.64/44.72 ('#sk122' @ X2)))) 344.64/44.72 | (X2 @ '#sk12') 344.64/44.72 | (((!!) @ (^[Y0 : a > $o]: 344.64/44.72 (((((((!!) @ (^[Y1 : a]: 344.64/44.72 ((('#sk1' @ '#sk10' @ Y1) => (Y0 @ Y1)))))) & 344.64/44.72 (((!!) @ (^[Y1 : a]: 344.64/44.72 (((!!) @ (^[Y2 : a]: 344.64/44.72 (((((Y0 @ Y1) & ('#sk1' @ 344.64/44.72 Y1 @ Y2))) => 344.64/44.72 (Y0 @ Y2))))))))))) => 344.64/44.72 (Y0 @ '#sk12')))))) 344.64/44.72 | ('#form9') 344.64/44.72 | ~ (((!!) @ (^[Y0 : a]: ((('#sk2' @ '#sk10' @ Y0) => (X2 @ Y0)))))))), 344.64/44.72 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl97])). 344.64/44.72 thf(zip_derived_cl129, plain, 344.64/44.72 ((~ ('#form201') 344.64/44.72 | (((!!) @ (^[Y0 : a > $o]: 344.64/44.72 (((((((!!) @ (^[Y1 : a]: 344.64/44.72 ((('#sk1' @ '#sk10' @ Y1) => (Y0 @ Y1)))))) & 344.64/44.72 (((!!) @ (^[Y1 : a]: 344.64/44.72 (((!!) @ (^[Y2 : a]: 344.64/44.72 (((((Y0 @ Y1) & ('#sk1' @ 344.64/44.72 Y1 @ Y2))) => 344.64/44.72 (Y0 @ Y2))))))))))) => 344.64/44.72 (Y0 @ '#sk12')))))))), 344.64/44.72 define([status(thm)])). 344.64/44.72 thf(zip_derived_cl131, plain, 344.64/44.72 (![X2 : a > $o]: 344.64/44.72 ( ('#form201') 344.64/44.72 | ~ (((!!) @ (^[Y0 : a]: ((('#sk2' @ '#sk10' @ Y0) => (X2 @ Y0)))))) 344.64/44.72 | ('#form9') 344.64/44.72 | (X2 @ '#sk12') 344.64/44.72 | (((X2 @ ('#sk89' @ X2)) & ('#sk2' @ ('#sk89' @ X2) @ 344.64/44.72 ('#sk122' @ X2)))))), 344.64/44.72 inference('renaming', [status(thm)], 344.64/44.72 [zip_derived_cl112, zip_derived_cl129])). 344.64/44.72 thf(zip_derived_cl131, plain, 344.64/44.72 (![X2 : a > $o]: 344.64/44.72 ( ('#form201') 344.64/44.72 | ~ (((!!) @ (^[Y0 : a]: ((('#sk2' @ '#sk10' @ Y0) => (X2 @ Y0)))))) 344.64/44.72 | ('#form9') 344.64/44.72 | (X2 @ '#sk12') 344.64/44.72 | (((X2 @ ('#sk89' @ X2)) & ('#sk2' @ ('#sk89' @ X2) @ 344.64/44.72 ('#sk122' @ X2)))))), 344.64/44.72 inference('renaming', [status(thm)], 344.64/44.72 [zip_derived_cl112, zip_derived_cl129])). 344.64/44.72 thf(zip_derived_cl140, plain, 344.64/44.72 (![X2 : a > $o]: 344.64/44.72 ( ('#form232' @ X2) 344.64/44.72 | ~ (((!!) @ (^[Y0 : a]: ((('#sk2' @ '#sk10' @ Y0) => (X2 @ Y0)))))))), 344.64/44.72 define([status(thm)])). 344.64/44.72 thf(zip_derived_cl142, plain, 344.64/44.72 (![X2 : a > $o]: 344.64/44.72 (~ ('#form232' @ X2) 344.64/44.72 | (((X2 @ ('#sk89' @ X2)) & ('#sk2' @ ('#sk89' @ X2) @ 344.64/44.72 ('#sk122' @ X2)))) 344.64/44.72 | (X2 @ '#sk12') 344.64/44.72 | ('#form9') 344.64/44.72 | ('#form201'))), 344.64/44.72 inference('renaming', [status(thm)], 344.64/44.72 [zip_derived_cl131, zip_derived_cl140])). 344.64/44.72 thf(zip_derived_cl145, plain, 344.64/44.72 (![X2 : a > $o]: 344.64/44.72 ( (X2 @ ('#sk89' @ X2)) 344.64/44.72 | ('#form201') 344.64/44.72 | ('#form9') 344.64/44.72 | (X2 @ '#sk12') 344.64/44.72 | ~ ('#form232' @ X2))), 344.64/44.72 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl142])). 344.64/44.72 thf(zip_derived_cl154, plain, 344.64/44.72 (![X2 : a > $o]: 344.64/44.72 ( ('#form285' @ X2) 344.64/44.72 | ~ (((!!) @ (^[Y0 : a]: 344.64/44.72 (((!!) @ (^[Y1 : a]: 344.64/44.72 (((((X2 @ Y0) & ('#sk1' @ Y0 @ Y1))) => 344.64/44.72 (X2 @ Y1))))))))))), 344.64/44.72 define([status(thm)])). 344.64/44.72 thf(zip_derived_cl155, plain, 344.64/44.72 (![X2 : a > $o]: 344.64/44.72 (~ (((!!) @ (^[Y0 : a]: 344.64/44.72 (((((X2 @ ('#sk286' @ X2)) & ('#sk1' @ 344.64/44.72 ('#sk286' @ X2) @ Y0))) => 344.64/44.72 (X2 @ Y0)))))) 344.64/44.72 | ('#form285' @ X2))), 344.64/44.72 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl154])). 344.64/44.72 thf(zip_derived_cl158, plain, 344.64/44.72 (![X2 : a > $o]: 344.64/44.72 (~ (((((X2 @ ('#sk286' @ X2)) & ('#sk1' @ ('#sk286' @ X2) @ 344.64/44.72 ('#sk296' @ X2)))) => 344.64/44.72 (X2 @ ('#sk296' @ X2)))) 344.64/44.72 | ('#form285' @ X2))), 344.64/44.72 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl155])). 344.64/44.72 thf(zip_derived_cl160, plain, 344.64/44.72 (![X2 : a > $o]: 344.64/44.72 ( (((X2 @ ('#sk286' @ X2)) & ('#sk1' @ ('#sk286' @ X2) @ 344.64/44.72 ('#sk296' @ X2)))) 344.64/44.72 | ('#form285' @ X2))), 344.64/44.72 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl158])). 344.64/44.72 thf(zip_derived_cl162, plain, 344.64/44.72 (![X2 : a > $o]: ( (X2 @ ('#sk286' @ X2)) | ('#form285' @ X2))), 344.64/44.72 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl160])). 344.64/44.72 thf(zip_derived_cl55, plain, 344.64/44.72 (( (((((!!) @ (^[Y0 : a]: 344.64/44.72 (((!!) @ (^[Y1 : a]: 344.64/44.72 ((((('#sk20' @ Y0) & 344.64/44.72 ((('#sk1' @ Y0 @ Y1) | ('#sk2' @ Y0 @ 344.64/44.72 Y1))))) => 344.64/44.72 ('#sk20' @ Y1))))))))) & 344.64/44.72 (((!!) @ (^[Y0 : a]: 344.64/44.72 ((((('#sk1' @ '#sk10' @ Y0) | ('#sk2' @ '#sk10' @ Y0))) => 344.64/44.72 ('#sk20' @ Y0)))))))) 344.64/44.72 | ('#form9'))), 344.64/44.72 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl48])). 344.64/44.72 thf(zip_derived_cl64, plain, 344.64/44.72 (( (((!!) @ (^[Y0 : a]: 344.64/44.72 ((((('#sk1' @ '#sk10' @ Y0) | ('#sk2' @ '#sk10' @ Y0))) => 344.64/44.72 ('#sk20' @ Y0)))))) 344.64/44.72 | ('#form9'))), 344.64/44.72 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl55])). 344.64/44.72 thf(zip_derived_cl73, plain, 344.64/44.72 (![X2 : a]: 344.64/44.72 ( ((((('#sk1' @ '#sk10' @ X2) | ('#sk2' @ '#sk10' @ X2))) => 344.64/44.72 ('#sk20' @ X2))) 344.64/44.72 | ('#form9'))), 344.64/44.72 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl64])). 344.64/44.72 thf(zip_derived_cl84, plain, 344.64/44.72 (![X2 : a]: 344.64/44.72 (~ ((('#sk1' @ '#sk10' @ X2) | ('#sk2' @ '#sk10' @ X2))) 344.64/44.72 | ('#sk20' @ X2) 344.64/44.72 | ('#form9'))), 344.64/44.72 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl73])). 344.64/44.72 thf(zip_derived_cl99, plain, 344.64/44.72 (![X2 : a]: (~ ('#sk1' @ '#sk10' @ X2) | ('#form9') | ('#sk20' @ X2))), 344.64/44.72 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl84])). 344.64/44.72 thf(zip_derived_cl153, plain, 344.64/44.72 (![X2 : a > $o]: 344.64/44.72 (~ (X2 @ ('#sk277' @ X2)) 344.64/44.72 | ~ (((!!) @ (^[Y0 : a]: 344.64/44.72 (((!!) @ (^[Y1 : a]: 344.64/44.72 (((((X2 @ Y0) & ('#sk1' @ Y0 @ Y1))) => 344.64/44.72 (X2 @ Y1))))))))) 344.64/44.72 | ~ ('#form201') 344.64/44.72 | (X2 @ '#sk12'))), 344.64/44.72 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl151])). 344.64/44.72 thf(zip_derived_cl154, plain, 344.64/44.72 (![X2 : a > $o]: 344.64/44.72 ( ('#form285' @ X2) 344.64/44.72 | ~ (((!!) @ (^[Y0 : a]: 344.64/44.72 (((!!) @ (^[Y1 : a]: 344.64/44.72 (((((X2 @ Y0) & ('#sk1' @ Y0 @ Y1))) => 344.64/44.72 (X2 @ Y1))))))))))), 344.64/44.72 define([status(thm)])). 344.64/44.72 thf(zip_derived_cl157, plain, 344.64/44.72 (![X2 : a > $o]: 344.64/44.72 (~ ('#form285' @ (^[Y0 : a]: (X2 @ Y0))) 344.64/44.72 | (X2 @ '#sk12') 344.64/44.72 | ~ ('#form201') 344.64/44.72 | ~ (X2 @ ('#sk277' @ X2)))), 344.64/44.72 inference('renaming', [status(thm)], 344.64/44.72 [zip_derived_cl153, zip_derived_cl154])). 344.64/44.72 thf(zip_derived_cl159, plain, 344.64/44.72 (![X2 : a > $o]: 344.64/44.72 (~ ('#form285' @ X2) 344.64/44.72 | (X2 @ '#sk12') 344.64/44.72 | ~ ('#form201') 344.64/44.72 | ~ (X2 @ ('#sk277' @ X2)))), 344.64/44.72 inference('ho_norm', [status(thm)], [zip_derived_cl157])). 344.64/44.72 thf(zip_derived_cl113, plain, 344.64/44.72 (![X2 : a > $o]: 344.64/44.72 (~ (X2 @ ('#sk122' @ X2)) 344.64/44.72 | (X2 @ '#sk12') 344.64/44.72 | (((!!) @ (^[Y0 : a > $o]: 344.64/44.72 (((((((!!) @ (^[Y1 : a]: 344.64/44.72 ((('#sk1' @ '#sk10' @ Y1) => (Y0 @ Y1)))))) & 344.64/44.72 (((!!) @ (^[Y1 : a]: 344.64/44.72 (((!!) @ (^[Y2 : a]: 344.64/44.72 (((((Y0 @ Y1) & ('#sk1' @ 344.64/44.72 Y1 @ Y2))) => 344.64/44.72 (Y0 @ Y2))))))))))) => 344.64/44.72 (Y0 @ '#sk12')))))) 344.64/44.72 | ('#form9') 344.64/44.72 | ~ (((!!) @ (^[Y0 : a]: ((('#sk2' @ '#sk10' @ Y0) => (X2 @ Y0)))))))), 344.64/44.72 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl97])). 344.64/44.72 thf(zip_derived_cl129, plain, 344.64/44.72 ((~ ('#form201') 344.64/44.72 | (((!!) @ (^[Y0 : a > $o]: 344.64/44.72 (((((((!!) @ (^[Y1 : a]: 344.64/44.72 ((('#sk1' @ '#sk10' @ Y1) => (Y0 @ Y1)))))) & 344.64/44.72 (((!!) @ (^[Y1 : a]: 344.64/44.72 (((!!) @ (^[Y2 : a]: 344.64/44.72 (((((Y0 @ Y1) & ('#sk1' @ 344.64/44.72 Y1 @ Y2))) => 344.64/44.72 (Y0 @ Y2))))))))))) => 344.64/44.72 (Y0 @ '#sk12')))))))), 344.64/44.72 define([status(thm)])). 344.64/44.72 thf(zip_derived_cl132, plain, 344.64/44.72 (![X2 : a > $o]: 344.64/44.72 ( ('#form201') 344.64/44.72 | ~ (((!!) @ (^[Y0 : a]: ((('#sk2' @ '#sk10' @ Y0) => (X2 @ Y0)))))) 344.64/44.72 | ('#form9') 344.64/44.72 | (X2 @ '#sk12') 344.64/44.72 | ~ (X2 @ ('#sk122' @ X2)))), 344.64/44.72 inference('renaming', [status(thm)], 344.64/44.72 [zip_derived_cl113, zip_derived_cl129])). 344.64/44.72 thf(zip_derived_cl140, plain, 344.64/44.72 (![X2 : a > $o]: 344.64/44.72 ( ('#form232' @ X2) 344.64/44.72 | ~ (((!!) @ (^[Y0 : a]: ((('#sk2' @ '#sk10' @ Y0) => (X2 @ Y0)))))))), 344.64/44.72 define([status(thm)])). 344.64/44.72 thf(zip_derived_cl144, plain, 344.64/44.72 (![X2 : a > $o]: 344.64/44.72 (~ ('#form232' @ (^[Y0 : a]: (X2 @ Y0))) 344.64/44.72 | ~ (X2 @ ('#sk122' @ X2)) 344.64/44.72 | (X2 @ '#sk12') 344.64/44.72 | ('#form9') 344.64/44.72 | ('#form201'))), 344.64/44.72 inference('renaming', [status(thm)], 344.64/44.72 [zip_derived_cl132, zip_derived_cl140])). 344.64/44.72 thf(zip_derived_cl150, plain, 344.64/44.72 (![X2 : a > $o]: 344.64/44.72 (~ ('#form232' @ X2) 344.64/44.72 | ~ (X2 @ ('#sk122' @ X2)) 344.64/44.72 | (X2 @ '#sk12') 344.64/44.72 | ('#form9') 344.64/44.72 | ('#form201'))), 344.64/44.72 inference('ho_norm', [status(thm)], [zip_derived_cl144])). 344.64/44.72 thf(zip_derived_cl161, plain, 344.64/44.72 (![X2 : a > $o]: (~ (X2 @ ('#sk296' @ X2)) | ('#form285' @ X2))), 344.64/44.72 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl158])). 344.64/44.72 thf(zip_derived_cl163, plain, 344.64/44.72 (![X2 : a > $o]: 344.64/44.72 ( ('#sk1' @ ('#sk286' @ X2) @ ('#sk296' @ X2)) | ('#form285' @ X2))), 344.64/44.72 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl160])). 344.64/44.72 thf(zip_derived_cl140, plain, 344.64/44.72 (![X2 : a > $o]: 344.64/44.72 ( ('#form232' @ X2) 344.64/44.72 | ~ (((!!) @ (^[Y0 : a]: ((('#sk2' @ '#sk10' @ Y0) => (X2 @ Y0)))))))), 344.64/44.72 define([status(thm)])). 344.64/44.72 thf(zip_derived_cl141, plain, 344.64/44.72 (![X2 : a > $o]: 344.64/44.72 (~ ((('#sk2' @ '#sk10' @ ('#sk233' @ X2)) => (X2 @ ('#sk233' @ X2)))) 344.64/44.72 | ('#form232' @ X2))), 344.64/44.72 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl140])). 344.64/44.72 thf(zip_derived_cl147, plain, 344.64/44.72 (![X2 : a > $o]: 344.64/44.72 ( ('#sk2' @ '#sk10' @ ('#sk233' @ X2)) | ('#form232' @ X2))), 344.64/44.72 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl141])). 344.64/44.72 thf(zip_derived_cl146, plain, 344.64/44.72 (![X2 : a > $o]: 344.64/44.72 ( ('#sk2' @ ('#sk89' @ X2) @ ('#sk122' @ X2)) 344.64/44.72 | ('#form201') 344.64/44.72 | ('#form9') 344.64/44.72 | (X2 @ '#sk12') 344.64/44.72 | ~ ('#form232' @ X2))), 344.64/44.72 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl142])). 344.64/44.72 thf(zip_derived_cl100, plain, 344.64/44.72 (![X2 : a]: (~ ('#sk2' @ '#sk10' @ X2) | ('#form9') | ('#sk20' @ X2))), 344.64/44.72 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl84])). 344.64/44.72 thf(zip_derived_cl148, plain, 344.64/44.72 (![X2 : a > $o]: (~ (X2 @ ('#sk233' @ X2)) | ('#form232' @ X2))), 344.64/44.72 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl141])). 344.64/44.72 thf(zip_derived_cl63, plain, 344.64/44.72 (( (((!!) @ (^[Y0 : a]: 344.64/44.72 (((!!) @ (^[Y1 : a]: 344.64/44.72 ((((('#sk20' @ Y0) & 344.64/44.72 ((('#sk1' @ Y0 @ Y1) | ('#sk2' @ Y0 @ Y1))))) => 344.64/44.72 ('#sk20' @ Y1))))))))) 344.64/44.72 | ('#form9'))), 344.64/44.72 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl55])). 344.64/44.72 thf(zip_derived_cl72, plain, 344.64/44.72 (![X2 : a]: 344.64/44.72 ( (((!!) @ (^[Y0 : a]: 344.64/44.72 ((((('#sk20' @ X2) & 344.64/44.72 ((('#sk1' @ X2 @ Y0) | ('#sk2' @ X2 @ Y0))))) => 344.64/44.72 ('#sk20' @ Y0)))))) 344.64/44.72 | ('#form9'))), 344.64/44.72 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl63])). 344.64/44.72 thf(zip_derived_cl83, plain, 344.64/44.72 (![X2 : a, X4 : a]: 344.64/44.72 ( ((((('#sk20' @ X2) & ((('#sk1' @ X2 @ X4) | ('#sk2' @ X2 @ X4))))) => 344.64/44.72 ('#sk20' @ X4))) 344.64/44.72 | ('#form9'))), 344.64/44.72 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl72])). 344.64/44.72 thf(zip_derived_cl98, plain, 344.64/44.72 (![X2 : a, X4 : a]: 344.64/44.72 (~ ((('#sk20' @ X2) & ((('#sk1' @ X2 @ X4) | ('#sk2' @ X2 @ X4))))) 344.64/44.72 | ('#sk20' @ X4) 344.64/44.72 | ('#form9'))), 344.64/44.72 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl83])). 344.64/44.72 thf(zip_derived_cl114, plain, 344.64/44.72 (![X2 : a, X4 : a]: 344.64/44.72 (~ ('#sk20' @ X2) 344.64/44.72 | ~ ((('#sk1' @ X2 @ X4) | ('#sk2' @ X2 @ X4))) 344.64/44.72 | ('#form9') 344.64/44.72 | ('#sk20' @ X4))), 344.64/44.72 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl98])). 344.64/44.72 thf(zip_derived_cl22, plain, 344.64/44.72 ((~ (((!!) @ (^[Y0 : a > $o]: 344.64/44.72 (((((((!!) @ (^[Y1 : a]: 344.64/44.72 ((((('#sk2' @ '#sk6' @ Y1) | ('#sk1' @ 344.64/44.72 '#sk6' @ Y1))) => 344.64/44.72 (Y0 @ Y1)))))) & 344.64/44.72 (((!!) @ (^[Y1 : a]: 344.64/44.72 (((!!) @ (^[Y2 : a]: 344.64/44.72 (((((Y0 @ Y1) & 344.64/44.72 ((('#sk1' @ Y1 @ Y2) | 344.64/44.72 ('#sk2' @ Y1 @ Y2))))) => 344.64/44.72 (Y0 @ Y2))))))))))) => 344.64/44.72 (Y0 @ '#sk8')))))) 344.64/44.72 | ~ (((!!) @ (^[Y0 : a]: 344.64/44.72 (((!!) @ (^[Y1 : a]: 344.64/44.72 (((((((!!) @ (^[Y2 : a > $o]: 344.64/44.72 (((((((!!) @ (^[Y3 : a]: 344.64/44.72 (((!!) @ ( 344.64/44.72 ^[Y4 : a]: 344.64/44.72 (( 344.64/44.72 (( 344.64/44.72 (Y2 @ 344.64/44.72 Y3) & 344.64/44.72 ('#sk2' @ 344.64/44.72 Y3 @ Y4))) => 344.64/44.72 (Y2 @ Y4))))))))) & 344.64/44.72 (((!!) @ (^[Y3 : a]: 344.64/44.72 ((('#sk2' @ 344.64/44.72 Y0 @ 344.64/44.72 Y3) => 344.64/44.72 (Y2 @ Y3)))))))) => 344.64/44.72 (Y2 @ Y1)))))) | 344.64/44.72 (((!!) @ (^[Y2 : a > $o]: 344.64/44.72 (((((((!!) @ (^[Y3 : a]: 344.64/44.72 ((('#sk1' @ 344.64/44.72 Y0 @ 344.64/44.72 Y3) => 344.64/44.72 (Y2 @ Y3)))))) & 344.64/44.72 (((!!) @ (^[Y3 : a]: 344.64/44.72 (((!!) @ ( 344.64/44.72 ^[Y4 : a]: 344.64/44.72 (( 344.64/44.72 (( 344.64/44.72 (Y2 @ 344.64/44.72 Y3) & 344.64/44.72 ('#sk1' @ 344.64/44.72 Y3 @ Y4))) => 344.64/44.72 (Y2 @ Y4))))))))))) => 344.64/44.72 (Y2 @ Y1)))))))) => 344.64/44.72 (((!!) @ (^[Y2 : a > $o]: 344.64/44.72 (((((((!!) @ (^[Y3 : a]: 344.64/44.72 (((!!) @ ( 344.64/44.72 ^[Y4 : a]: 344.64/44.72 ( 344.64/44.72 ( 344.64/44.72 (( 344.64/44.72 (Y2 @ 344.64/44.72 Y3) & 344.64/44.72 (( 344.64/44.72 ('#sk1' @ 344.64/44.72 Y3 @ 344.64/44.72 Y4) | 344.64/44.72 ('#sk2' @ 344.64/44.72 Y3 @ Y4))))) => 344.64/44.72 (Y2 @ Y4))))))))) & 344.64/44.72 (((!!) @ (^[Y3 : a]: 344.64/44.72 ((((('#sk1' @ 344.64/44.72 Y0 @ 344.64/44.72 Y3) | 344.64/44.72 ('#sk2' @ 344.64/44.72 Y0 @ Y3))) => 344.64/44.72 (Y2 @ Y3)))))))) => 344.64/44.72 (Y2 @ Y1)))))))))))))) 344.64/44.72 | (((!!) @ (^[Y0 : a > $o]: 344.64/44.72 (((((((!!) @ (^[Y1 : a]: 344.64/44.72 (((!!) @ (^[Y2 : a]: 344.64/44.72 ((((((('#sk2' @ Y1 @ Y2) | 344.64/44.72 ('#sk1' @ Y1 @ Y2))) & 344.64/44.72 (Y0 @ Y1))) => 344.64/44.72 (Y0 @ Y2))))))))) & 344.64/44.72 (((!!) @ (^[Y1 : a]: 344.64/44.72 ((((('#sk2' @ '#sk3' @ Y1) | ('#sk1' @ 344.64/44.72 '#sk3' @ Y1))) => 344.64/44.72 (Y0 @ Y1)))))))) => 344.64/44.72 (Y0 @ '#sk4')))))))), 344.64/44.72 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl18])). 344.64/44.72 thf(zip_derived_cl26, plain, 344.64/44.72 (( ('#form9') 344.64/44.72 | ~ (((!!) @ (^[Y0 : a]: 344.64/44.72 (((!!) @ (^[Y1 : a]: 344.64/44.72 (((((((!!) @ (^[Y2 : a > $o]: 344.64/44.72 (((((((!!) @ (^[Y3 : a]: 344.64/44.72 (((!!) @ ( 344.64/44.72 ^[Y4 : a]: 344.64/44.72 (( 344.64/44.72 (( 344.64/44.72 (Y2 @ 344.64/44.72 Y3) & 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344.64/44.72 | ~ ('#form9') 344.64/44.72 | ('#form11'))), 344.64/44.72 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl49])). 344.64/44.72 thf(zip_derived_cl66, plain, 344.64/44.72 (![X2 : a]: 344.64/44.72 ( (((!!) @ (^[Y0 : a]: 344.64/44.72 ((((('#sk16' @ X2) & 344.64/44.72 ((('#sk1' @ X2 @ Y0) | ('#sk2' @ X2 @ Y0))))) => 344.64/44.72 ('#sk16' @ Y0)))))) 344.64/44.72 | ('#form11') 344.64/44.72 | ~ ('#form9'))), 344.64/44.72 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl58])). 344.64/44.72 thf(zip_derived_cl75, plain, 344.64/44.72 (![X2 : a, X4 : a]: 344.64/44.72 ( ((((('#sk16' @ X2) & ((('#sk1' @ X2 @ X4) | ('#sk2' @ X2 @ X4))))) => 344.64/44.72 ('#sk16' @ X4))) 344.64/44.72 | ~ ('#form9') 344.64/44.72 | ('#form11'))), 344.64/44.72 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl66])). 344.64/44.72 thf(zip_derived_cl87, plain, 344.64/44.72 (![X2 : a, X4 : a]: 344.64/44.72 (~ ((('#sk16' @ X2) & ((('#sk1' @ X2 @ X4) | ('#sk2' @ X2 @ X4))))) 344.64/44.72 | ('#sk16' @ X4) 344.64/44.72 | ('#form11') 344.64/44.72 | ~ ('#form9'))), 344.64/44.72 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl75])). 344.64/44.72 thf(zip_derived_cl101, plain, 344.64/44.72 (![X2 : a, X4 : a]: 344.64/44.72 (~ ('#sk16' @ X2) 344.64/44.72 | ~ ((('#sk1' @ X2 @ X4) | ('#sk2' @ X2 @ X4))) 344.64/44.72 | ~ ('#form9') 344.64/44.72 | ('#form11') 344.64/44.72 | ('#sk16' @ X4))), 344.64/44.72 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl87])). 344.64/44.72 thf(zip_derived_cl115, plain, 344.64/44.72 (![X2 : a, X4 : a]: 344.64/44.72 ( ('#form160' @ X2 @ X4) 344.64/44.72 | ~ ((('#sk1' @ X2 @ X4) | ('#sk2' @ X2 @ X4))))), 344.64/44.72 define([status(thm)])). 344.64/44.72 thf(zip_derived_cl133, plain, 344.64/44.72 (![X2 : a, X4 : a]: 344.64/44.72 (~ ('#form160' @ X2 @ X4) 344.64/44.72 | ('#sk20' @ X4) 344.64/44.72 | ('#form9') 344.64/44.72 | ~ ('#sk20' @ X2))), 344.64/44.72 inference('renaming', [status(thm)], 344.64/44.72 [zip_derived_cl114, zip_derived_cl115])). 344.64/44.72 thf(zip_derived_cl28, plain, 344.64/44.72 ((~ ('#form9') 344.64/44.72 | (((!!) @ (^[Y0 : a > $o]: 344.64/44.72 (((((((!!) @ (^[Y1 : a]: 344.64/44.72 (((!!) @ (^[Y2 : a]: 344.64/44.72 ((((((('#sk2' @ Y1 @ Y2) | 344.64/44.72 ('#sk1' @ Y1 @ Y2))) & 344.64/44.72 (Y0 @ Y1))) => 344.64/44.72 (Y0 @ Y2))))))))) & 344.64/44.72 (((!!) @ (^[Y1 : a]: 344.64/44.72 ((((('#sk2' @ '#sk3' @ Y1) | ('#sk1' @ 344.64/44.72 '#sk3' @ Y1))) => 344.64/44.72 (Y0 @ Y1)))))))) => 344.64/44.72 (Y0 @ '#sk4')))))) 344.64/44.72 | (((((!!) @ (^[Y0 : a > $o]: 344.64/44.72 (((((((!!) @ (^[Y1 : a]: 344.64/44.72 (((!!) @ (^[Y2 : a]: 344.64/44.72 ((((((('#sk1' @ Y1 @ Y2) | 344.64/44.72 ('#sk2' @ Y1 @ Y2))) & 344.64/44.72 (Y0 @ Y1))) => 344.64/44.72 (Y0 @ Y2))))))))) & 344.64/44.72 (((!!) @ (^[Y1 : a]: 344.64/44.72 ((((('#sk2' @ '#sk6' @ Y1) | 344.64/44.72 ('#sk1' @ '#sk6' @ Y1))) => 344.64/44.72 (Y0 @ Y1)))))))) => 344.64/44.72 (Y0 @ '#sk7')))))) & 344.64/44.72 (((!!) @ (^[Y0 : a > $o]: 344.64/44.72 (((((((!!) @ (^[Y1 : a]: 344.64/44.72 (((!!) @ (^[Y2 : a]: 344.64/44.72 (((((Y0 @ Y1) & 344.64/44.72 ((('#sk1' @ Y1 @ Y2) | 344.64/44.72 ('#sk2' @ Y1 @ Y2))))) => 344.64/44.72 (Y0 @ Y2))))))))) & 344.64/44.72 (((!!) @ (^[Y1 : a]: 344.64/44.72 ((((('#sk2' @ '#sk7' @ Y1) | 344.64/44.72 ('#sk1' @ '#sk7' @ Y1))) => 344.64/44.72 (Y0 @ Y1)))))))) => 344.64/44.72 (Y0 @ '#sk8')))))))))), 344.64/44.72 inference('renaming', [status(thm)], [zip_derived_cl21, zip_derived_cl26])). 344.64/44.72 thf(zip_derived_cl31, plain, 344.64/44.72 ((~ ('#form11') 344.64/44.72 | (((!!) @ (^[Y0 : a > $o]: 344.64/44.72 (((((((!!) @ (^[Y1 : a]: 344.64/44.72 (((!!) @ (^[Y2 : a]: 344.64/44.72 ((((((('#sk2' @ Y1 @ Y2) | 344.64/44.72 ('#sk1' @ Y1 @ Y2))) & 344.64/44.72 (Y0 @ Y1))) => 344.64/44.72 (Y0 @ Y2))))))))) & 344.64/44.72 (((!!) @ (^[Y1 : a]: 344.64/44.72 ((((('#sk2' @ '#sk3' @ Y1) | ('#sk1' @ 344.64/44.72 '#sk3' @ Y1))) => 344.64/44.72 (Y0 @ Y1)))))))) => 344.64/44.72 (Y0 @ '#sk4')))))))), 344.64/44.72 define([status(thm)])). 344.64/44.72 thf(zip_derived_cl33, plain, 344.64/44.72 (( ('#form11') 344.64/44.72 | (((((!!) @ (^[Y0 : a > $o]: 344.64/44.72 (((((((!!) @ (^[Y1 : a]: 344.64/44.72 (((!!) @ (^[Y2 : a]: 344.64/44.72 ((((((('#sk1' @ Y1 @ Y2) | 344.64/44.72 ('#sk2' @ Y1 @ Y2))) & 344.64/44.72 (Y0 @ Y1))) => 344.64/44.72 (Y0 @ Y2))))))))) & 344.64/44.72 (((!!) @ (^[Y1 : a]: 344.64/44.72 ((((('#sk2' @ '#sk6' @ Y1) | 344.64/44.72 ('#sk1' @ '#sk6' @ Y1))) => 344.64/44.72 (Y0 @ Y1)))))))) => 344.64/44.72 (Y0 @ '#sk7')))))) & 344.64/44.72 (((!!) @ (^[Y0 : a > $o]: 344.64/44.72 (((((((!!) @ (^[Y1 : a]: 344.64/44.72 (((!!) @ (^[Y2 : a]: 344.64/44.72 (((((Y0 @ Y1) & 344.64/44.72 ((('#sk1' @ Y1 @ Y2) | 344.64/44.72 ('#sk2' @ Y1 @ Y2))))) => 344.64/44.72 (Y0 @ Y2))))))))) & 344.64/44.72 (((!!) @ (^[Y1 : a]: 344.64/44.72 ((((('#sk2' @ '#sk7' @ Y1) | 344.64/44.72 ('#sk1' @ '#sk7' @ Y1))) => 344.64/44.72 (Y0 @ Y1)))))))) => 344.64/44.72 (Y0 @ '#sk8')))))))) 344.64/44.72 | ~ ('#form9'))), 344.64/44.72 inference('renaming', [status(thm)], [zip_derived_cl28, zip_derived_cl31])). 344.64/44.72 thf(zip_derived_cl38, plain, 344.64/44.72 (( (((!!) @ (^[Y0 : a > $o]: 344.64/44.72 (((((((!!) @ (^[Y1 : a]: 344.64/44.72 (((!!) @ (^[Y2 : a]: 344.64/44.72 ((((((('#sk1' @ Y1 @ Y2) | 344.64/44.72 ('#sk2' @ Y1 @ Y2))) & 344.64/44.72 (Y0 @ Y1))) => 344.64/44.72 (Y0 @ Y2))))))))) & 344.64/44.72 (((!!) @ (^[Y1 : a]: 344.64/44.72 ((((('#sk2' @ '#sk6' @ Y1) | ('#sk1' @ 344.64/44.72 '#sk6' @ Y1))) => 344.64/44.72 (Y0 @ Y1)))))))) => 344.64/44.72 (Y0 @ '#sk7')))))) 344.64/44.72 | ~ ('#form9') 344.64/44.72 | ('#form11'))), 344.64/44.72 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl33])). 344.64/44.72 thf(zip_derived_cl44, plain, 344.64/44.72 (![X2 : a > $o]: 344.64/44.72 ( (((((((!!) @ (^[Y0 : a]: 344.64/44.72 (((!!) @ (^[Y1 : a]: 344.64/44.72 ((((((('#sk1' @ Y0 @ Y1) | ('#sk2' @ 344.64/44.72 Y0 @ Y1))) & 344.64/44.72 (X2 @ Y0))) => 344.64/44.72 (X2 @ Y1))))))))) & 344.64/44.72 (((!!) @ (^[Y0 : a]: 344.64/44.72 ((((('#sk2' @ '#sk6' @ Y0) | ('#sk1' @ '#sk6' @ Y0))) => 344.64/44.72 (X2 @ Y0)))))))) => 344.64/44.72 (X2 @ '#sk7'))) 344.64/44.72 | ('#form11') 344.64/44.72 | ~ ('#form9'))), 344.64/44.72 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl38])). 344.64/44.72 thf(zip_derived_cl51, plain, 344.64/44.72 (![X2 : a > $o]: 344.64/44.72 (~ (((((!!) @ (^[Y0 : a]: 344.64/44.72 (((!!) @ (^[Y1 : a]: 344.64/44.72 ((((((('#sk1' @ Y0 @ Y1) | ('#sk2' @ 344.64/44.72 Y0 @ Y1))) & 344.64/44.72 (X2 @ Y0))) => 344.64/44.72 (X2 @ Y1))))))))) & 344.64/44.72 (((!!) @ (^[Y0 : a]: 344.64/44.72 ((((('#sk2' @ '#sk6' @ Y0) | ('#sk1' @ '#sk6' @ Y0))) => 344.64/44.72 (X2 @ Y0)))))))) 344.64/44.72 | (X2 @ '#sk7') 344.64/44.72 | ~ ('#form9') 344.64/44.72 | ('#form11'))), 344.64/44.72 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl44])). 344.64/44.72 thf(zip_derived_cl59, plain, 344.64/44.72 (![X2 : a > $o]: 344.64/44.72 (~ (((!!) @ (^[Y0 : a]: 344.64/44.72 (((!!) @ (^[Y1 : a]: 344.64/44.72 ((((((('#sk1' @ Y0 @ Y1) | ('#sk2' @ Y0 @ 344.64/44.72 Y1))) & 344.64/44.72 (X2 @ Y0))) => 344.64/44.72 (X2 @ Y1))))))))) 344.64/44.72 | ~ (((!!) @ (^[Y0 : a]: 344.64/44.72 ((((('#sk2' @ '#sk6' @ Y0) | ('#sk1' @ '#sk6' @ Y0))) => 344.64/44.72 (X2 @ Y0)))))) 344.64/44.72 | ('#form11') 344.64/44.72 | ~ ('#form9') 344.64/44.72 | (X2 @ '#sk7'))), 344.64/44.72 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl51])). 344.64/44.72 thf(zip_derived_cl67, plain, 344.64/44.72 (![X2 : a > $o]: 344.64/44.72 (~ (((!!) @ (^[Y0 : a]: 344.64/44.72 ((((((('#sk1' @ ('#sk49' @ X2) @ Y0) | ('#sk2' @ 344.64/44.72 ('#sk49' @ X2) @ Y0))) & 344.64/44.72 (X2 @ ('#sk49' @ X2)))) => 344.64/44.72 (X2 @ Y0)))))) 344.64/44.72 | (X2 @ '#sk7') 344.64/44.72 | ~ ('#form9') 344.64/44.72 | ('#form11') 344.64/44.72 | ~ (((!!) @ (^[Y0 : a]: 344.64/44.72 ((((('#sk2' @ '#sk6' @ Y0) | ('#sk1' @ '#sk6' @ Y0))) => 344.64/44.72 (X2 @ Y0)))))))), 344.64/44.72 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl59])). 344.64/44.72 thf(zip_derived_cl76, plain, 344.64/44.72 (![X2 : a > $o]: 344.64/44.72 (~ ((((((('#sk1' @ ('#sk49' @ X2) @ ('#sk69' @ X2)) | ('#sk2' @ 344.64/44.72 ('#sk49' @ X2) @ ('#sk69' @ X2)))) & 344.64/44.72 (X2 @ ('#sk49' @ X2)))) => 344.64/44.72 (X2 @ ('#sk69' @ X2)))) 344.64/44.72 | ~ (((!!) @ (^[Y0 : a]: 344.64/44.72 ((((('#sk2' @ '#sk6' @ Y0) | ('#sk1' @ '#sk6' @ Y0))) => 344.64/44.72 (X2 @ Y0)))))) 344.64/44.72 | ('#form11') 344.64/44.72 | ~ ('#form9') 344.64/44.72 | (X2 @ '#sk7'))), 344.64/44.72 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl67])). 344.64/44.72 thf(zip_derived_cl88, plain, 344.64/44.72 (![X2 : a > $o]: 344.64/44.72 ( ((((('#sk1' @ ('#sk49' @ X2) @ ('#sk69' @ X2)) | ('#sk2' @ 344.64/44.72 ('#sk49' @ X2) @ ('#sk69' @ X2)))) & 344.64/44.72 (X2 @ ('#sk49' @ X2)))) 344.64/44.72 | (X2 @ '#sk7') 344.64/44.72 | ~ ('#form9') 344.64/44.72 | ('#form11') 344.64/44.72 | ~ (((!!) @ (^[Y0 : a]: 344.64/44.72 ((((('#sk2' @ '#sk6' @ Y0) | ('#sk1' @ '#sk6' @ Y0))) => 344.64/44.72 (X2 @ Y0)))))))), 344.64/44.72 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl76])). 344.64/44.72 thf(zip_derived_cl88, plain, 344.64/44.72 (![X2 : a > $o]: 344.64/44.72 ( ((((('#sk1' @ ('#sk49' @ X2) @ ('#sk69' @ X2)) | ('#sk2' @ 344.64/44.72 ('#sk49' @ X2) @ ('#sk69' @ X2)))) & 344.64/44.72 (X2 @ ('#sk49' @ X2)))) 344.64/44.72 | (X2 @ '#sk7') 344.64/44.72 | ~ ('#form9') 344.64/44.72 | ('#form11') 344.64/44.72 | ~ (((!!) @ (^[Y0 : a]: 344.64/44.72 ((((('#sk2' @ '#sk6' @ Y0) | ('#sk1' @ '#sk6' @ Y0))) => 344.64/44.72 (X2 @ Y0)))))))), 344.64/44.72 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl76])). 344.64/44.72 thf(zip_derived_cl102, plain, 344.64/44.72 (![X2 : a > $o]: 344.64/44.72 ( ('#form129' @ X2) 344.64/44.72 | ~ (((!!) @ (^[Y0 : a]: 344.64/44.72 ((((('#sk2' @ '#sk6' @ Y0) | ('#sk1' @ '#sk6' @ Y0))) => 344.64/44.72 (X2 @ Y0)))))))), 344.64/44.72 define([status(thm)])). 344.64/44.72 thf(zip_derived_cl104, plain, 344.64/44.72 (![X2 : a > $o]: 344.64/44.72 (~ ('#form129' @ X2) 344.64/44.72 | ('#form11') 344.64/44.72 | ~ ('#form9') 344.64/44.72 | (X2 @ '#sk7') 344.64/44.72 | ((((('#sk1' @ ('#sk49' @ X2) @ ('#sk69' @ X2)) | ('#sk2' @ 344.64/44.72 ('#sk49' @ X2) @ ('#sk69' @ X2)))) & 344.64/44.72 (X2 @ ('#sk49' @ X2)))))), 344.64/44.72 inference('renaming', [status(thm)], 344.64/44.72 [zip_derived_cl88, zip_derived_cl102])). 344.64/44.72 thf(zip_derived_cl120, plain, 344.64/44.72 (![X2 : a > $o]: 344.64/44.72 ( (X2 @ ('#sk49' @ X2)) 344.64/44.72 | (X2 @ '#sk7') 344.64/44.72 | ~ ('#form9') 344.64/44.72 | ('#form11') 344.64/44.72 | ~ ('#form129' @ X2))), 344.64/44.72 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl104])). 344.64/44.72 thf(zip_derived_cl50, plain, 344.64/44.72 ((~ ('#sk16' @ '#sk8') | ('#form11') | ~ ('#form9'))), 344.64/44.72 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl43])). 344.64/44.72 thf(zip_derived_cl102, plain, 344.64/44.72 (![X2 : a > $o]: 344.64/44.72 ( ('#form129' @ X2) 344.64/44.72 | ~ (((!!) @ (^[Y0 : a]: 344.64/44.72 ((((('#sk2' @ '#sk6' @ Y0) | ('#sk1' @ '#sk6' @ Y0))) => 344.64/44.72 (X2 @ Y0)))))))), 344.64/44.72 define([status(thm)])). 344.64/44.72 thf(zip_derived_cl103, plain, 344.64/44.72 (![X2 : a > $o]: 344.64/44.72 (~ ((((('#sk2' @ '#sk6' @ ('#sk130' @ X2)) | ('#sk1' @ '#sk6' @ 344.64/44.72 ('#sk130' @ X2)))) => 344.64/44.72 (X2 @ ('#sk130' @ X2)))) 344.64/44.72 | ('#form129' @ X2))), 344.64/44.72 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl102])). 344.64/44.72 thf(zip_derived_cl121, plain, 344.64/44.72 (![X2 : a > $o]: 344.64/44.72 ( ((('#sk2' @ '#sk6' @ ('#sk130' @ X2)) | ('#sk1' @ '#sk6' @ 344.64/44.72 ('#sk130' @ X2)))) 344.64/44.72 | ('#form129' @ X2))), 344.64/44.72 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl103])). 344.64/44.72 thf(zip_derived_cl137, plain, 344.64/44.72 (![X2 : a > $o]: 344.64/44.72 ( ('#sk2' @ '#sk6' @ ('#sk130' @ X2)) 344.64/44.72 | ('#sk1' @ '#sk6' @ ('#sk130' @ X2)) 344.64/44.72 | ('#form129' @ X2))), 344.64/44.72 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl121])). 344.64/44.72 thf(zip_derived_cl89, plain, 344.64/44.72 (![X2 : a > $o]: 344.64/44.72 (~ (X2 @ ('#sk69' @ X2)) 344.64/44.72 | (X2 @ '#sk7') 344.64/44.72 | ~ ('#form9') 344.64/44.72 | ('#form11') 344.64/44.72 | ~ (((!!) @ (^[Y0 : a]: 344.64/44.72 ((((('#sk2' @ '#sk6' @ Y0) | ('#sk1' @ '#sk6' @ Y0))) => 344.64/44.72 (X2 @ Y0)))))))), 344.64/44.72 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl76])). 344.64/44.72 thf(zip_derived_cl102, plain, 344.64/44.72 (![X2 : a > $o]: 344.64/44.72 ( ('#form129' @ X2) 344.64/44.72 | ~ (((!!) @ (^[Y0 : a]: 344.64/44.72 ((((('#sk2' @ '#sk6' @ Y0) | ('#sk1' @ '#sk6' @ Y0))) => 344.64/44.72 (X2 @ Y0)))))))), 344.64/44.72 define([status(thm)])). 344.64/44.72 thf(zip_derived_cl105, plain, 344.64/44.72 (![X2 : a > $o]: 344.64/44.72 (~ ('#form129' @ (^[Y0 : a]: (X2 @ Y0))) 344.64/44.72 | ('#form11') 344.64/44.72 | ~ ('#form9') 344.64/44.72 | (X2 @ '#sk7') 344.64/44.72 | ~ (X2 @ ('#sk69' @ X2)))), 344.64/44.72 inference('renaming', [status(thm)], 344.64/44.72 [zip_derived_cl89, zip_derived_cl102])). 344.64/44.72 thf(zip_derived_cl123, plain, 344.64/44.72 (![X2 : a > $o]: 344.64/44.72 (~ ('#form129' @ X2) 344.64/44.72 | ('#form11') 344.64/44.72 | ~ ('#form9') 344.64/44.72 | (X2 @ '#sk7') 344.64/44.72 | ~ (X2 @ ('#sk69' @ X2)))), 344.64/44.72 inference('ho_norm', [status(thm)], [zip_derived_cl105])). 344.64/44.72 thf(zip_derived_cl39, plain, 344.64/44.72 (( (((!!) @ (^[Y0 : a > $o]: 344.64/44.72 (((((((!!) @ (^[Y1 : a]: 344.64/44.72 (((!!) @ (^[Y2 : a]: 344.64/44.72 (((((Y0 @ Y1) & 344.64/44.72 ((('#sk1' @ Y1 @ Y2) | 344.64/44.72 ('#sk2' @ Y1 @ Y2))))) => 344.64/44.72 (Y0 @ Y2))))))))) & 344.64/44.72 (((!!) @ (^[Y1 : a]: 344.64/44.72 ((((('#sk2' @ '#sk7' @ Y1) | ('#sk1' @ 344.64/44.72 '#sk7' @ Y1))) => 344.64/44.72 (Y0 @ Y1)))))))) => 344.64/44.72 (Y0 @ '#sk8')))))) 344.64/44.72 | ~ ('#form9') 344.64/44.72 | ('#form11'))), 344.64/44.72 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl33])). 344.64/44.72 thf(zip_derived_cl45, plain, 344.64/44.72 (![X2 : a > $o]: 344.64/44.72 ( (((((((!!) @ (^[Y0 : a]: 344.64/44.72 (((!!) @ (^[Y1 : a]: 344.64/44.72 (((((X2 @ Y0) & 344.64/44.72 ((('#sk1' @ Y0 @ Y1) | ('#sk2' @ 344.64/44.72 Y0 @ Y1))))) => 344.64/44.72 (X2 @ Y1))))))))) & 344.64/44.72 (((!!) @ (^[Y0 : a]: 344.64/44.72 ((((('#sk2' @ '#sk7' @ Y0) | ('#sk1' @ '#sk7' @ Y0))) => 344.64/44.72 (X2 @ Y0)))))))) => 344.64/44.72 (X2 @ '#sk8'))) 344.64/44.72 | ('#form11') 344.64/44.72 | ~ ('#form9'))), 344.64/44.72 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl39])). 344.64/44.72 thf(zip_derived_cl52, plain, 344.64/44.72 (![X2 : a > $o]: 344.64/44.72 (~ (((((!!) @ (^[Y0 : a]: 344.64/44.72 (((!!) @ (^[Y1 : a]: 344.64/44.72 (((((X2 @ Y0) & 344.64/44.72 ((('#sk1' @ Y0 @ Y1) | ('#sk2' @ 344.64/44.72 Y0 @ Y1))))) => 344.64/44.72 (X2 @ Y1))))))))) & 344.64/44.72 (((!!) @ (^[Y0 : a]: 344.64/44.72 ((((('#sk2' @ '#sk7' @ Y0) | ('#sk1' @ '#sk7' @ Y0))) => 344.64/44.72 (X2 @ Y0)))))))) 344.64/44.72 | (X2 @ '#sk8') 344.64/44.72 | ~ ('#form9') 344.64/44.72 | ('#form11'))), 344.64/44.72 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl45])). 344.64/44.72 thf(zip_derived_cl60, plain, 344.64/44.72 (![X2 : a > $o]: 344.64/44.72 (~ (((!!) @ (^[Y0 : a]: 344.64/44.72 (((!!) @ (^[Y1 : a]: 344.64/44.72 (((((X2 @ Y0) & 344.64/44.72 ((('#sk1' @ Y0 @ Y1) | ('#sk2' @ Y0 @ 344.64/44.72 Y1))))) => 344.64/44.72 (X2 @ Y1))))))))) 344.64/44.72 | ~ (((!!) @ (^[Y0 : a]: 344.64/44.72 ((((('#sk2' @ '#sk7' @ Y0) | ('#sk1' @ '#sk7' @ Y0))) => 344.64/44.72 (X2 @ Y0)))))) 344.64/44.72 | ('#form11') 344.64/44.72 | ~ ('#form9') 344.64/44.72 | (X2 @ '#sk8'))), 344.64/44.72 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl52])). 344.64/44.72 thf(zip_derived_cl68, plain, 344.64/44.72 (![X2 : a > $o]: 344.64/44.72 (~ (((!!) @ (^[Y0 : a]: 344.64/44.72 (((((X2 @ ('#sk53' @ X2)) & 344.64/44.72 ((('#sk1' @ ('#sk53' @ X2) @ Y0) | ('#sk2' @ 344.64/44.72 ('#sk53' @ X2) @ Y0))))) => 344.64/44.72 (X2 @ Y0)))))) 344.64/44.72 | (X2 @ '#sk8') 344.64/44.72 | ~ ('#form9') 344.64/44.72 | ('#form11') 344.64/44.72 | ~ (((!!) @ (^[Y0 : a]: 344.64/44.72 ((((('#sk2' @ '#sk7' @ Y0) | ('#sk1' @ '#sk7' @ Y0))) => 344.64/44.72 (X2 @ Y0)))))))), 344.64/44.72 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl60])). 344.64/44.72 thf(zip_derived_cl77, plain, 344.64/44.72 (![X2 : a > $o]: 344.64/44.72 (~ (((((X2 @ ('#sk53' @ X2)) & 344.64/44.72 ((('#sk1' @ ('#sk53' @ X2) @ ('#sk75' @ X2)) | ('#sk2' @ 344.64/44.72 ('#sk53' @ X2) @ ('#sk75' @ X2)))))) => 344.64/44.72 (X2 @ ('#sk75' @ X2)))) 344.64/44.72 | ~ (((!!) @ (^[Y0 : a]: 344.64/44.72 ((((('#sk2' @ '#sk7' @ Y0) | ('#sk1' @ '#sk7' @ Y0))) => 344.64/44.72 (X2 @ Y0)))))) 344.64/44.72 | ('#form11') 344.64/44.72 | ~ ('#form9') 344.64/44.72 | (X2 @ '#sk8'))), 344.64/44.72 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl68])). 344.64/44.72 thf(zip_derived_cl90, plain, 344.64/44.72 (![X2 : a > $o]: 344.64/44.72 ( (((X2 @ ('#sk53' @ X2)) & 344.64/44.72 ((('#sk1' @ ('#sk53' @ X2) @ ('#sk75' @ X2)) | ('#sk2' @ 344.64/44.72 ('#sk53' @ X2) @ ('#sk75' @ X2)))))) 344.64/44.72 | (X2 @ '#sk8') 344.64/44.72 | ~ ('#form9') 344.64/44.72 | ('#form11') 344.64/44.72 | ~ (((!!) @ (^[Y0 : a]: 344.64/44.72 ((((('#sk2' @ '#sk7' @ Y0) | ('#sk1' @ '#sk7' @ Y0))) => 344.64/44.72 (X2 @ Y0)))))))), 344.64/44.72 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl77])). 344.64/44.72 thf(zip_derived_cl90, plain, 344.64/44.72 (![X2 : a > $o]: 344.64/44.72 ( (((X2 @ ('#sk53' @ X2)) & 344.64/44.72 ((('#sk1' @ ('#sk53' @ X2) @ ('#sk75' @ X2)) | ('#sk2' @ 344.64/44.72 ('#sk53' @ X2) @ ('#sk75' @ X2)))))) 344.64/44.72 | (X2 @ '#sk8') 344.64/44.72 | ~ ('#form9') 344.64/44.72 | ('#form11') 344.64/44.72 | ~ (((!!) @ (^[Y0 : a]: 344.64/44.72 ((((('#sk2' @ '#sk7' @ Y0) | ('#sk1' @ '#sk7' @ Y0))) => 344.64/44.72 (X2 @ Y0)))))))), 344.64/44.72 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl77])). 344.64/44.72 thf(zip_derived_cl106, plain, 344.64/44.72 (![X2 : a > $o]: 344.64/44.72 ( ('#form139' @ X2) 344.64/44.72 | ~ (((!!) @ (^[Y0 : a]: 344.64/44.72 ((((('#sk2' @ '#sk7' @ Y0) | ('#sk1' @ '#sk7' @ Y0))) => 344.64/44.72 (X2 @ Y0)))))))), 344.64/44.72 define([status(thm)])). 344.64/44.72 thf(zip_derived_cl108, plain, 344.64/44.72 (![X2 : a > $o]: 344.64/44.72 (~ ('#form139' @ X2) 344.64/44.72 | ('#form11') 344.64/44.72 | ~ ('#form9') 344.64/44.72 | (X2 @ '#sk8') 344.64/44.72 | (((X2 @ ('#sk53' @ X2)) & 344.64/44.72 ((('#sk1' @ ('#sk53' @ X2) @ ('#sk75' @ X2)) | ('#sk2' @ 344.64/44.72 ('#sk53' @ X2) @ ('#sk75' @ X2)))))))), 344.64/44.72 inference('renaming', [status(thm)], 344.64/44.72 [zip_derived_cl90, zip_derived_cl106])). 344.64/44.72 thf(zip_derived_cl124, plain, 344.64/44.72 (![X2 : a > $o]: 344.64/44.72 ( (X2 @ ('#sk53' @ X2)) 344.64/44.72 | (X2 @ '#sk8') 344.64/44.72 | ~ ('#form9') 344.64/44.72 | ('#form11') 344.64/44.72 | ~ ('#form139' @ X2))), 344.64/44.72 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl108])). 344.64/44.72 thf(zip_derived_cl91, plain, 344.64/44.72 (![X2 : a > $o]: 344.64/44.72 (~ (X2 @ ('#sk75' @ X2)) 344.64/44.72 | (X2 @ '#sk8') 344.64/44.72 | ~ ('#form9') 344.64/44.72 | ('#form11') 344.64/44.72 | ~ (((!!) @ (^[Y0 : a]: 344.64/44.72 ((((('#sk2' @ '#sk7' @ Y0) | ('#sk1' @ '#sk7' @ Y0))) => 344.64/44.72 (X2 @ Y0)))))))), 344.64/44.72 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl77])). 344.64/44.72 thf(zip_derived_cl106, plain, 344.64/44.72 (![X2 : a > $o]: 344.64/44.72 ( ('#form139' @ X2) 344.64/44.72 | ~ (((!!) @ (^[Y0 : a]: 344.64/44.72 ((((('#sk2' @ '#sk7' @ Y0) | ('#sk1' @ '#sk7' @ Y0))) => 344.64/44.72 (X2 @ Y0)))))))), 344.64/44.72 define([status(thm)])). 344.64/44.72 thf(zip_derived_cl109, plain, 344.64/44.72 (![X2 : a > $o]: 344.64/44.72 (~ ('#form139' @ (^[Y0 : a]: (X2 @ Y0))) 344.64/44.72 | ('#form11') 344.64/44.72 | ~ ('#form9') 344.64/44.72 | (X2 @ '#sk8') 344.64/44.72 | ~ (X2 @ ('#sk75' @ X2)))), 344.64/44.72 inference('renaming', [status(thm)], 344.64/44.72 [zip_derived_cl91, zip_derived_cl106])). 344.64/44.72 thf(zip_derived_cl128, plain, 344.64/44.72 (![X2 : a > $o]: 344.64/44.72 (~ ('#form139' @ X2) 344.64/44.72 | ('#form11') 344.64/44.72 | ~ ('#form9') 344.64/44.72 | (X2 @ '#sk8') 344.64/44.72 | ~ (X2 @ ('#sk75' @ X2)))), 344.64/44.72 inference('ho_norm', [status(thm)], [zip_derived_cl109])). 344.64/44.72 thf(zip_derived_cl119, plain, 344.64/44.72 (![X2 : a > $o]: 344.64/44.72 ( ((('#sk1' @ ('#sk49' @ X2) @ ('#sk69' @ X2)) | ('#sk2' @ 344.64/44.72 ('#sk49' @ X2) @ ('#sk69' @ X2)))) 344.64/44.72 | (X2 @ '#sk7') 344.64/44.72 | ~ ('#form9') 344.64/44.72 | ('#form11') 344.64/44.72 | ~ ('#form129' @ X2))), 344.64/44.72 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl104])). 344.64/44.72 thf(zip_derived_cl119, plain, 344.64/44.72 (![X2 : a > $o]: 344.64/44.72 ( ((('#sk1' @ ('#sk49' @ X2) @ ('#sk69' @ X2)) | ('#sk2' @ 344.64/44.72 ('#sk49' @ X2) @ ('#sk69' @ X2)))) 344.64/44.72 | (X2 @ '#sk7') 344.64/44.72 | ~ ('#form9') 344.64/44.72 | ('#form11') 344.64/44.72 | ~ ('#form129' @ X2))), 344.64/44.72 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl104])). 344.64/44.72 thf(zip_derived_cl134, plain, 344.64/44.72 (![X2 : a, X4 : a]: 344.64/44.72 (~ ('#form160' @ X2 @ X4) 344.64/44.72 | ((('#sk1' @ X2 @ X4) | ('#sk2' @ X2 @ X4))))), 344.64/44.72 define([status(thm)])). 344.64/44.72 thf(zip_derived_cl115, plain, 344.64/44.72 (![X2 : a, X4 : a]: 344.64/44.72 ( ('#form160' @ X2 @ X4) 344.64/44.72 | ~ ((('#sk1' @ X2 @ X4) | ('#sk2' @ X2 @ X4))))), 344.64/44.72 define([status(thm)])). 344.64/44.72 thf(zip_derived_cl136, plain, 344.64/44.72 (![X2 : a > $o]: 344.64/44.72 ( ('#form160' @ ('#sk49' @ X2) @ ('#sk69' @ X2)) 344.64/44.72 | ~ ('#form129' @ X2) 344.64/44.72 | ('#form11') 344.64/44.72 | ~ ('#form9') 344.64/44.72 | (X2 @ '#sk7'))), 344.64/44.72 inference('renaming', [status(thm)], 344.64/44.72 [zip_derived_cl119, zip_derived_cl134, zip_derived_cl115])). 344.64/44.72 thf(zip_derived_cl106, plain, 344.64/44.72 (![X2 : a > $o]: 344.64/44.72 ( ('#form139' @ X2) 344.64/44.72 | ~ (((!!) @ (^[Y0 : a]: 344.64/44.72 ((((('#sk2' @ '#sk7' @ Y0) | ('#sk1' @ '#sk7' @ Y0))) => 344.64/44.72 (X2 @ Y0)))))))), 344.64/44.72 define([status(thm)])). 344.64/44.72 thf(zip_derived_cl107, plain, 344.64/44.72 (![X2 : a > $o]: 344.64/44.72 (~ ((((('#sk2' @ '#sk7' @ ('#sk140' @ X2)) | ('#sk1' @ '#sk7' @ 344.64/44.72 ('#sk140' @ X2)))) => 344.64/44.72 (X2 @ ('#sk140' @ X2)))) 344.64/44.72 | ('#form139' @ X2))), 344.64/44.72 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl106])). 344.64/44.72 thf(zip_derived_cl126, plain, 344.64/44.72 (![X2 : a > $o]: 344.64/44.72 ( ((('#sk2' @ '#sk7' @ ('#sk140' @ X2)) | ('#sk1' @ '#sk7' @ 344.64/44.72 ('#sk140' @ X2)))) 344.64/44.72 | ('#form139' @ X2))), 344.64/44.72 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl107])). 344.64/44.72 thf(zip_derived_cl139, plain, 344.64/44.72 (![X2 : a > $o]: 344.64/44.72 ( ('#sk2' @ '#sk7' @ ('#sk140' @ X2)) 344.64/44.72 | ('#sk1' @ '#sk7' @ ('#sk140' @ X2)) 344.64/44.72 | ('#form139' @ X2))), 344.64/44.72 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl126])). 344.64/44.72 thf(zip_derived_cl127, plain, 344.64/44.72 (![X2 : a > $o]: (~ (X2 @ ('#sk140' @ X2)) | ('#form139' @ X2))), 344.64/44.72 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl107])). 344.64/44.72 thf(zip_derived_cl115, plain, 344.64/44.72 (![X2 : a, X4 : a]: 344.64/44.72 ( ('#form160' @ X2 @ X4) 344.64/44.72 | ~ ((('#sk1' @ X2 @ X4) | ('#sk2' @ X2 @ X4))))), 344.64/44.72 define([status(thm)])). 344.64/44.72 thf(zip_derived_cl117, plain, 344.64/44.72 (![X2 : a, X4 : a]: (~ ('#sk2' @ X2 @ X4) | ('#form160' @ X2 @ X4))), 344.64/44.72 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl115])). 344.64/44.72 thf(zip_derived_cl125, plain, 344.64/44.72 (![X2 : a > $o]: 344.64/44.72 ( ((('#sk1' @ ('#sk53' @ X2) @ ('#sk75' @ X2)) | ('#sk2' @ 344.64/44.72 ('#sk53' @ X2) @ ('#sk75' @ X2)))) 344.64/44.72 | (X2 @ '#sk8') 344.64/44.72 | ~ ('#form9') 344.64/44.72 | ('#form11') 344.64/44.72 | ~ ('#form139' @ X2))), 344.64/44.72 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl108])). 344.64/44.72 thf(zip_derived_cl134, plain, 344.64/44.72 (![X2 : a, X4 : a]: 344.64/44.72 (~ ('#form160' @ X2 @ X4) 344.64/44.72 | ((('#sk1' @ X2 @ X4) | ('#sk2' @ X2 @ X4))))), 344.64/44.72 define([status(thm)])). 344.64/44.72 thf(zip_derived_cl115, plain, 344.64/44.72 (![X2 : a, X4 : a]: 344.64/44.72 ( ('#form160' @ X2 @ X4) 344.64/44.72 | ~ ((('#sk1' @ X2 @ X4) | ('#sk2' @ X2 @ X4))))), 344.64/44.72 define([status(thm)])). 344.64/44.72 thf(zip_derived_cl138, plain, 344.64/44.72 (![X2 : a > $o]: 344.64/44.72 ( ('#form160' @ ('#sk53' @ X2) @ ('#sk75' @ X2)) 344.64/44.72 | ~ ('#form139' @ X2) 344.64/44.72 | ('#form11') 344.64/44.72 | ~ ('#form9') 344.64/44.72 | (X2 @ '#sk8'))), 344.64/44.72 inference('renaming', [status(thm)], 344.64/44.72 [zip_derived_cl125, zip_derived_cl134, zip_derived_cl115])). 344.64/44.72 thf(zip_derived_cl57, plain, 344.64/44.72 (( (((!!) @ (^[Y0 : a]: 344.64/44.72 ((((('#sk2' @ '#sk6' @ Y0) | ('#sk1' @ '#sk6' @ Y0))) => 344.64/44.72 ('#sk16' @ Y0)))))) 344.64/44.72 | ~ ('#form9') 344.64/44.72 | ('#form11'))), 344.64/44.72 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl49])). 344.64/44.72 thf(zip_derived_cl65, plain, 344.64/44.72 (![X2 : a]: 344.64/44.72 ( ((((('#sk2' @ '#sk6' @ X2) | ('#sk1' @ '#sk6' @ X2))) => ('#sk16' @ 344.64/44.72 X2))) 344.64/44.72 | ('#form11') 344.64/44.72 | ~ ('#form9'))), 344.64/44.72 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl57])). 344.64/44.72 thf(zip_derived_cl74, plain, 344.64/44.72 (![X2 : a]: 344.64/44.72 (~ ((('#sk2' @ '#sk6' @ X2) | ('#sk1' @ '#sk6' @ X2))) 344.64/44.72 | ('#sk16' @ X2) 344.64/44.72 | ~ ('#form9') 344.64/44.72 | ('#form11'))), 344.64/44.72 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl65])). 344.64/44.72 thf(zip_derived_cl85, plain, 344.64/44.72 (![X2 : a]: 344.64/44.72 (~ ('#sk2' @ '#sk6' @ X2) 344.64/44.72 | ('#form11') 344.64/44.72 | ~ ('#form9') 344.64/44.72 | ('#sk16' @ X2))), 344.64/44.72 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl74])). 344.64/44.72 thf(zip_derived_cl86, plain, 344.64/44.72 (![X2 : a]: 344.64/44.72 (~ ('#sk1' @ '#sk6' @ X2) 344.64/44.72 | ('#form11') 344.64/44.72 | ~ ('#form9') 344.64/44.72 | ('#sk16' @ X2))), 344.64/44.72 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl74])). 344.64/44.72 thf(zip_derived_cl122, plain, 344.64/44.72 (![X2 : a > $o]: (~ (X2 @ ('#sk130' @ X2)) | ('#form129' @ X2))), 344.64/44.72 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl103])). 344.64/44.72 thf(zip_derived_cl31, plain, 344.64/44.72 ((~ ('#form11') 344.64/44.72 | (((!!) @ (^[Y0 : a > $o]: 344.64/44.72 (((((((!!) @ (^[Y1 : a]: 344.64/44.72 (((!!) @ (^[Y2 : a]: 344.64/44.72 ((((((('#sk2' @ Y1 @ Y2) | 344.64/44.72 ('#sk1' @ Y1 @ Y2))) & 344.64/44.72 (Y0 @ Y1))) => 344.64/44.72 (Y0 @ Y2))))))))) & 344.64/44.72 (((!!) @ (^[Y1 : a]: 344.64/44.72 ((((('#sk2' @ '#sk3' @ Y1) | ('#sk1' @ 344.64/44.72 '#sk3' @ Y1))) => 344.64/44.72 (Y0 @ Y1)))))))) => 344.64/44.72 (Y0 @ '#sk4')))))))), 344.64/44.72 define([status(thm)])). 344.64/44.72 thf(zip_derived_cl32, plain, 344.64/44.72 (![X2 : a > $o]: 344.64/44.72 ( (((((((!!) @ (^[Y0 : a]: 344.64/44.72 (((!!) @ (^[Y1 : a]: 344.64/44.72 ((((((('#sk2' @ Y0 @ Y1) | ('#sk1' @ 344.64/44.72 Y0 @ Y1))) & 344.64/44.72 (X2 @ Y0))) => 344.64/44.72 (X2 @ Y1))))))))) & 344.64/44.72 (((!!) @ (^[Y0 : a]: 344.64/44.72 ((((('#sk2' @ '#sk3' @ Y0) | ('#sk1' @ '#sk3' @ Y0))) => 344.64/44.72 (X2 @ Y0)))))))) => 344.64/44.72 (X2 @ '#sk4'))) 344.64/44.72 | ~ ('#form11'))), 344.64/44.72 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl31])). 344.64/44.72 thf(zip_derived_cl40, plain, 344.64/44.72 (![X2 : a > $o]: 344.64/44.72 (~ (((((!!) @ (^[Y0 : a]: 344.64/44.72 (((!!) @ (^[Y1 : a]: 344.64/44.72 ((((((('#sk2' @ Y0 @ Y1) | ('#sk1' @ 344.64/44.72 Y0 @ Y1))) & 344.64/44.72 (X2 @ Y0))) => 344.64/44.72 (X2 @ Y1))))))))) & 344.64/44.72 (((!!) @ (^[Y0 : a]: 344.64/44.72 ((((('#sk2' @ '#sk3' @ Y0) | ('#sk1' @ '#sk3' @ Y0))) => 344.64/44.72 (X2 @ Y0)))))))) 344.64/44.72 | (X2 @ '#sk4') 344.64/44.72 | ~ ('#form11'))), 344.64/44.72 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl32])). 344.64/44.72 thf(zip_derived_cl46, plain, 344.64/44.72 (![X2 : a > $o]: 344.64/44.72 (~ (((!!) @ (^[Y0 : a]: 344.64/44.72 (((!!) @ (^[Y1 : a]: 344.64/44.72 ((((((('#sk2' @ Y0 @ Y1) | ('#sk1' @ Y0 @ 344.64/44.72 Y1))) & 344.64/44.72 (X2 @ Y0))) => 344.64/44.72 (X2 @ Y1))))))))) 344.64/44.72 | ~ (((!!) @ (^[Y0 : a]: 344.64/44.72 ((((('#sk2' @ '#sk3' @ Y0) | ('#sk1' @ '#sk3' @ Y0))) => 344.64/44.72 (X2 @ Y0)))))) 344.64/44.72 | ~ ('#form11') 344.64/44.72 | (X2 @ '#sk4'))), 344.64/44.72 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl40])). 344.64/44.72 thf(zip_derived_cl53, plain, 344.64/44.72 (![X2 : a > $o]: 344.64/44.72 (~ (((!!) @ (^[Y0 : a]: 344.64/44.72 ((((((('#sk2' @ ('#sk30' @ X2) @ Y0) | ('#sk1' @ 344.64/44.72 ('#sk30' @ X2) @ Y0))) & 344.64/44.72 (X2 @ ('#sk30' @ X2)))) => 344.64/44.72 (X2 @ Y0)))))) 344.64/44.72 | (X2 @ '#sk4') 344.64/44.72 | ~ ('#form11') 344.64/44.72 | ~ (((!!) @ (^[Y0 : a]: 344.64/44.72 ((((('#sk2' @ '#sk3' @ Y0) | ('#sk1' @ '#sk3' @ Y0))) => 344.64/44.72 (X2 @ Y0)))))))), 344.64/44.72 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl46])). 344.64/44.72 thf(zip_derived_cl61, plain, 344.64/44.72 (![X2 : a > $o]: 344.64/44.72 (~ ((((((('#sk2' @ ('#sk30' @ X2) @ ('#sk42' @ X2)) | ('#sk1' @ 344.64/44.72 ('#sk30' @ X2) @ ('#sk42' @ X2)))) & 344.64/44.72 (X2 @ ('#sk30' @ X2)))) => 344.64/44.72 (X2 @ ('#sk42' @ X2)))) 344.64/44.72 | ~ (((!!) @ (^[Y0 : a]: 344.64/44.72 ((((('#sk2' @ '#sk3' @ Y0) | ('#sk1' @ '#sk3' @ Y0))) => 344.64/44.72 (X2 @ Y0)))))) 344.64/44.72 | ~ ('#form11') 344.64/44.72 | (X2 @ '#sk4'))), 344.64/44.72 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl53])). 344.64/44.72 thf(zip_derived_cl69, plain, 344.64/44.72 (![X2 : a > $o]: 344.64/44.72 ( ((((('#sk2' @ ('#sk30' @ X2) @ ('#sk42' @ X2)) | ('#sk1' @ 344.64/44.72 ('#sk30' @ X2) @ ('#sk42' @ X2)))) & 344.64/44.72 (X2 @ ('#sk30' @ X2)))) 344.64/44.72 | (X2 @ '#sk4') 344.64/44.72 | ~ ('#form11') 344.64/44.72 | ~ (((!!) @ (^[Y0 : a]: 344.64/44.72 ((((('#sk2' @ '#sk3' @ Y0) | ('#sk1' @ '#sk3' @ Y0))) => 344.64/44.72 (X2 @ Y0)))))))), 344.64/44.72 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl61])). 344.64/44.72 thf(zip_derived_cl78, plain, 344.64/44.72 (![X2 : a > $o]: 344.64/44.72 ( ('#form82' @ X2) 344.64/44.72 | ~ (((!!) @ (^[Y0 : a]: 344.64/44.72 ((((('#sk2' @ '#sk3' @ Y0) | ('#sk1' @ '#sk3' @ Y0))) => 344.64/44.72 (X2 @ Y0)))))))), 344.64/44.72 define([status(thm)])). 344.64/44.72 thf(zip_derived_cl79, plain, 344.64/44.72 (![X2 : a > $o]: 344.64/44.72 (~ ((((('#sk2' @ '#sk3' @ ('#sk83' @ X2)) | ('#sk1' @ '#sk3' @ 344.64/44.72 ('#sk83' @ X2)))) => 344.64/44.72 (X2 @ ('#sk83' @ X2)))) 344.64/44.72 | ('#form82' @ X2))), 344.64/44.72 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl78])). 344.64/44.72 thf(zip_derived_cl95, plain, 344.64/44.72 (![X2 : a > $o]: (~ (X2 @ ('#sk83' @ X2)) | ('#form82' @ X2))), 344.64/44.72 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl79])). 344.64/44.72 thf(zip_derived_cl116, plain, 344.64/44.72 (![X2 : a, X4 : a]: (~ ('#sk1' @ X2 @ X4) | ('#form160' @ X2 @ X4))), 344.64/44.72 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl115])). 344.64/44.72 thf(zip_derived_cl101, plain, 344.64/44.72 (![X2 : a, X4 : a]: 344.64/44.72 (~ ('#sk16' @ X2) 344.64/44.72 | ~ ((('#sk1' @ X2 @ X4) | ('#sk2' @ X2 @ X4))) 344.64/44.72 | ~ ('#form9') 344.64/44.72 | ('#form11') 344.64/44.72 | ('#sk16' @ X4))), 344.64/44.72 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl87])). 344.64/44.72 thf(zip_derived_cl115, plain, 344.64/44.72 (![X2 : a, X4 : a]: 344.64/44.72 ( ('#form160' @ X2 @ X4) 344.64/44.72 | ~ ((('#sk1' @ X2 @ X4) | ('#sk2' @ X2 @ X4))))), 344.64/44.72 define([status(thm)])). 344.64/44.72 thf(zip_derived_cl118, plain, 344.64/44.72 (![X2 : a, X4 : a]: 344.64/44.72 (~ ('#form160' @ X2 @ X4) 344.64/44.72 | ('#sk16' @ X4) 344.64/44.72 | ('#form11') 344.64/44.72 | ~ ('#form9') 344.64/44.72 | ~ ('#sk16' @ X2))), 344.64/44.72 inference('renaming', [status(thm)], 344.64/44.72 [zip_derived_cl101, zip_derived_cl115])). 344.64/44.72 thf(zip_derived_cl94, plain, 344.64/44.72 (![X2 : a > $o]: 344.64/44.72 ( ((('#sk2' @ '#sk3' @ ('#sk83' @ X2)) | ('#sk1' @ '#sk3' @ 344.64/44.72 ('#sk83' @ X2)))) 344.64/44.72 | ('#form82' @ X2))), 344.64/44.72 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl79])). 344.64/44.72 thf(zip_derived_cl111, plain, 344.64/44.72 (![X2 : a > $o]: 344.64/44.72 ( ('#sk2' @ '#sk3' @ ('#sk83' @ X2)) 344.64/44.72 | ('#sk1' @ '#sk3' @ ('#sk83' @ X2)) 344.64/44.72 | ('#form82' @ X2))), 344.64/44.72 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl94])). 344.64/44.72 thf(zip_derived_cl6, plain, 344.64/44.72 (~ (((!!) @ (^[Y0 : a > $o]: 344.64/44.72 (((((((!!) @ (^[Y1 : a]: 344.64/44.72 ((((('#sk1' @ '#sk3' @ Y1) | ('#sk2' @ 344.64/44.72 '#sk3' @ Y1))) => 344.64/44.72 (Y0 @ Y1)))))) & 344.64/44.72 (((!!) @ (^[Y1 : a]: 344.64/44.72 (((!!) @ (^[Y2 : a]: 344.64/44.72 (((((Y0 @ Y1) & 344.64/44.72 ((('#sk1' @ Y1 @ Y2) | 344.64/44.72 ('#sk2' @ Y1 @ Y2))))) => 344.64/44.72 (Y0 @ Y2))))))))))) => 344.64/44.72 (Y0 @ '#sk4'))))))), 344.64/44.72 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl4])). 344.64/44.72 thf(zip_derived_cl8, plain, 344.64/44.72 (~ (((((((!!) @ (^[Y0 : a]: 344.64/44.72 ((((('#sk1' @ '#sk3' @ Y0) | ('#sk2' @ '#sk3' @ Y0))) => 344.64/44.72 ('#sk5' @ Y0)))))) & 344.64/44.72 (((!!) @ (^[Y0 : a]: 344.64/44.72 (((!!) @ (^[Y1 : a]: 344.64/44.72 ((((('#sk5' @ Y0) & 344.64/44.72 ((('#sk1' @ Y0 @ Y1) | ('#sk2' @ Y0 @ 344.64/44.72 Y1))))) => 344.64/44.72 ('#sk5' @ Y1))))))))))) => 344.64/44.72 ('#sk5' @ '#sk4')))), 344.64/44.72 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl6])). 344.64/44.72 thf(zip_derived_cl10, plain, 344.64/44.72 ( (((((!!) @ (^[Y0 : a]: 344.64/44.72 ((((('#sk1' @ '#sk3' @ Y0) | ('#sk2' @ '#sk3' @ Y0))) => 344.64/44.72 ('#sk5' @ Y0)))))) & 344.64/44.72 (((!!) @ (^[Y0 : a]: 344.64/44.72 (((!!) @ (^[Y1 : a]: 344.64/44.72 ((((('#sk5' @ Y0) & 344.64/44.72 ((('#sk1' @ Y0 @ Y1) | ('#sk2' @ Y0 @ Y1))))) => 344.64/44.72 ('#sk5' @ Y1)))))))))))), 344.64/44.72 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl8])). 344.64/44.72 thf(zip_derived_cl13, plain, 344.64/44.72 ( (((!!) @ (^[Y0 : a]: 344.64/44.72 ((((('#sk1' @ '#sk3' @ Y0) | ('#sk2' @ '#sk3' @ Y0))) => 344.64/44.72 ('#sk5' @ Y0))))))), 344.64/44.72 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl10])). 344.64/44.72 thf(zip_derived_cl16, plain, 344.64/44.72 (![X2 : a]: 344.64/44.72 ((((('#sk1' @ '#sk3' @ X2) | ('#sk2' @ '#sk3' @ X2))) => ('#sk5' @ 344.64/44.72 X2)))), 344.64/44.72 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl13])). 344.64/44.72 thf(zip_derived_cl19, plain, 344.64/44.72 (![X2 : a]: 344.64/44.72 (~ ((('#sk1' @ '#sk3' @ X2) | ('#sk2' @ '#sk3' @ X2))) 344.64/44.72 | ('#sk5' @ X2))), 344.64/44.72 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl16])). 344.64/44.72 thf(zip_derived_cl24, plain, 344.64/44.72 (![X2 : a]: (~ ('#sk2' @ '#sk3' @ X2) | ('#sk5' @ X2))), 344.64/44.72 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl19])). 344.64/44.72 thf(zip_derived_cl23, plain, 344.64/44.72 (![X2 : a]: (~ ('#sk1' @ '#sk3' @ X2) | ('#sk5' @ X2))), 344.64/44.72 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl19])). 344.64/44.72 thf(zip_derived_cl69, plain, 344.64/44.72 (![X2 : a > $o]: 344.64/44.72 ( ((((('#sk2' @ ('#sk30' @ X2) @ ('#sk42' @ X2)) | ('#sk1' @ 344.64/44.72 ('#sk30' @ X2) @ ('#sk42' @ X2)))) & 344.64/44.72 (X2 @ ('#sk30' @ X2)))) 344.64/44.72 | (X2 @ '#sk4') 344.64/44.72 | ~ ('#form11') 344.64/44.72 | ~ (((!!) @ (^[Y0 : a]: 344.64/44.72 ((((('#sk2' @ '#sk3' @ Y0) | ('#sk1' @ '#sk3' @ Y0))) => 344.64/44.72 (X2 @ Y0)))))))), 344.64/44.72 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl61])). 344.64/44.72 thf(zip_derived_cl78, plain, 344.64/44.72 (![X2 : a > $o]: 344.64/44.72 ( ('#form82' @ X2) 344.64/44.72 | ~ (((!!) @ (^[Y0 : a]: 344.64/44.72 ((((('#sk2' @ '#sk3' @ Y0) | ('#sk1' @ '#sk3' @ Y0))) => 344.64/44.72 (X2 @ Y0)))))))), 344.64/44.72 define([status(thm)])). 344.64/44.72 thf(zip_derived_cl80, plain, 344.64/44.72 (![X2 : a > $o]: 344.64/44.72 (~ ('#form82' @ X2) 344.64/44.72 | ~ ('#form11') 344.64/44.72 | (X2 @ '#sk4') 344.64/44.72 | ((((('#sk2' @ ('#sk30' @ X2) @ ('#sk42' @ X2)) | ('#sk1' @ 344.64/44.72 ('#sk30' @ X2) @ ('#sk42' @ X2)))) & 344.64/44.72 (X2 @ ('#sk30' @ X2)))))), 344.64/44.72 inference('renaming', [status(thm)], [zip_derived_cl69, zip_derived_cl78])). 344.64/44.72 thf(zip_derived_cl93, plain, 344.64/44.72 (![X2 : a > $o]: 344.64/44.72 ( (X2 @ ('#sk30' @ X2)) 344.64/44.72 | (X2 @ '#sk4') 344.64/44.72 | ~ ('#form11') 344.64/44.72 | ~ ('#form82' @ X2))), 344.64/44.72 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl80])). 344.64/44.72 thf(zip_derived_cl11, plain, (~ ('#sk5' @ '#sk4')), 344.64/44.72 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl8])). 344.64/44.72 thf(zip_derived_cl70, plain, 344.64/44.72 (![X2 : a > $o]: 344.64/44.72 (~ (X2 @ ('#sk42' @ X2)) 344.64/44.72 | (X2 @ '#sk4') 344.64/44.72 | ~ ('#form11') 344.64/44.72 | ~ (((!!) @ (^[Y0 : a]: 344.64/44.72 ((((('#sk2' @ '#sk3' @ Y0) | ('#sk1' @ '#sk3' @ Y0))) => 344.64/44.72 (X2 @ Y0)))))))), 344.64/44.72 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl61])). 344.64/44.72 thf(zip_derived_cl78, plain, 344.64/44.72 (![X2 : a > $o]: 344.64/44.72 ( ('#form82' @ X2) 344.64/44.72 | ~ (((!!) @ (^[Y0 : a]: 344.64/44.72 ((((('#sk2' @ '#sk3' @ Y0) | ('#sk1' @ '#sk3' @ Y0))) => 344.64/44.72 (X2 @ Y0)))))))), 344.64/44.72 define([status(thm)])). 344.64/44.72 thf(zip_derived_cl81, plain, 344.64/44.72 (![X2 : a > $o]: 344.64/44.72 (~ ('#form82' @ (^[Y0 : a]: (X2 @ Y0))) 344.64/44.72 | ~ ('#form11') 344.64/44.72 | (X2 @ '#sk4') 344.64/44.72 | ~ (X2 @ ('#sk42' @ X2)))), 344.64/44.72 inference('renaming', [status(thm)], [zip_derived_cl70, zip_derived_cl78])). 344.64/44.72 thf(zip_derived_cl96, plain, 344.64/44.72 (![X2 : a > $o]: 344.64/44.72 (~ ('#form82' @ X2) 344.64/44.72 | ~ ('#form11') 344.64/44.72 | (X2 @ '#sk4') 344.64/44.72 | ~ (X2 @ ('#sk42' @ X2)))), 344.64/44.72 inference('ho_norm', [status(thm)], [zip_derived_cl81])). 344.64/44.72 thf(zip_derived_cl14, plain, 344.64/44.72 ( (((!!) @ (^[Y0 : a]: 344.64/44.72 (((!!) @ (^[Y1 : a]: 344.64/44.72 ((((('#sk5' @ Y0) & 344.64/44.72 ((('#sk1' @ Y0 @ Y1) | ('#sk2' @ Y0 @ Y1))))) => 344.64/44.72 ('#sk5' @ Y1)))))))))), 344.64/44.72 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl10])). 344.64/44.72 thf(zip_derived_cl17, plain, 344.64/44.72 (![X2 : a]: 344.64/44.72 (((!!) @ (^[Y0 : a]: 344.64/44.72 ((((('#sk5' @ X2) & 344.64/44.72 ((('#sk1' @ X2 @ Y0) | ('#sk2' @ X2 @ Y0))))) => 344.64/44.72 ('#sk5' @ Y0))))))), 344.64/44.72 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl14])). 344.64/44.72 thf(zip_derived_cl20, plain, 344.64/44.72 (![X2 : a, X4 : a]: 344.64/44.72 ((((('#sk5' @ X2) & ((('#sk1' @ X2 @ X4) | ('#sk2' @ X2 @ X4))))) => 344.64/44.72 ('#sk5' @ X4)))), 344.64/44.72 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl17])). 344.64/44.72 thf(zip_derived_cl25, plain, 344.64/44.72 (![X2 : a, X4 : a]: 344.64/44.72 (~ ((('#sk5' @ X2) & ((('#sk1' @ X2 @ X4) | ('#sk2' @ X2 @ X4))))) 344.64/44.72 | ('#sk5' @ X4))), 344.64/44.72 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl20])). 344.64/44.72 thf(zip_derived_cl30, plain, 344.64/44.72 (![X2 : a, X4 : a]: 344.64/44.72 (~ ('#sk5' @ X2) 344.64/44.72 | ~ ((('#sk1' @ X2 @ X4) | ('#sk2' @ X2 @ X4))) 344.64/44.72 | ('#sk5' @ X4))), 344.64/44.72 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl25])). 344.64/44.72 thf(zip_derived_cl37, plain, 344.64/44.72 (![X2 : a, X4 : a]: 344.64/44.72 (~ ('#sk2' @ X2 @ X4) | ('#sk5' @ X4) | ~ ('#sk5' @ X2))), 344.64/44.72 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl30])). 344.64/44.72 thf(zip_derived_cl92, plain, 344.64/44.72 (![X2 : a > $o]: 344.64/44.72 ( ((('#sk2' @ ('#sk30' @ X2) @ ('#sk42' @ X2)) | ('#sk1' @ 344.64/44.72 ('#sk30' @ X2) @ ('#sk42' @ X2)))) 344.64/44.72 | (X2 @ '#sk4') 344.64/44.72 | ~ ('#form11') 344.64/44.72 | ~ ('#form82' @ X2))), 344.64/44.72 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl80])). 344.64/44.72 thf(zip_derived_cl110, plain, 344.64/44.72 (![X2 : a > $o]: 344.64/44.72 ( ('#sk2' @ ('#sk30' @ X2) @ ('#sk42' @ X2)) 344.64/44.72 | ('#sk1' @ ('#sk30' @ X2) @ ('#sk42' @ X2)) 344.64/44.72 | ~ ('#form82' @ X2) 344.64/44.72 | ~ ('#form11') 344.64/44.72 | (X2 @ '#sk4'))), 344.64/44.72 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl92])). 344.64/44.72 thf(zip_derived_cl36, plain, 344.64/44.72 (![X2 : a, X4 : a]: 344.64/44.72 (~ ('#sk1' @ X2 @ X4) | ('#sk5' @ X4) | ~ ('#sk5' @ X2))), 344.64/44.72 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl30])). 344.64/44.72 thf(zip_derived_cl13697, plain, ($false), 344.64/44.72 inference('eprover', [status(thm)], 344.64/44.72 [zip_derived_cl156, zip_derived_cl56, zip_derived_cl145, 344.64/44.72 zip_derived_cl162, zip_derived_cl99, zip_derived_cl159, 344.64/44.72 zip_derived_cl150, zip_derived_cl161, zip_derived_cl163, 344.64/44.72 zip_derived_cl147, zip_derived_cl146, zip_derived_cl100, 344.64/44.72 zip_derived_cl148, zip_derived_cl133, zip_derived_cl120, 344.64/44.72 zip_derived_cl50, zip_derived_cl137, zip_derived_cl123, 344.64/44.72 zip_derived_cl124, zip_derived_cl128, zip_derived_cl136, 344.64/44.72 zip_derived_cl139, zip_derived_cl127, zip_derived_cl117, 344.64/44.72 zip_derived_cl138, zip_derived_cl85, zip_derived_cl86, 344.64/44.72 zip_derived_cl122, zip_derived_cl95, zip_derived_cl116, 344.64/44.72 zip_derived_cl118, zip_derived_cl111, zip_derived_cl24, 344.64/44.72 zip_derived_cl23, zip_derived_cl93, zip_derived_cl11, 344.64/44.72 zip_derived_cl96, zip_derived_cl37, zip_derived_cl110, 344.64/44.72 zip_derived_cl36])). 344.64/44.72 344.64/44.72 % SZS output end Refutation 344.64/44.72 344.64/44.72 344.64/44.72 % Terminating... 345.38/44.83 % Runner terminated. 345.39/44.84 % Zipperpin 1.5 exiting 345.39/44.85 EOF