0.00/0.03 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.00/0.05 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.JBkff1AEzS true 0.09/0.35 % Computer : n031.cluster.edu 0.09/0.35 % Model : x86_64 x86_64 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.09/0.35 % Memory : 8046.5625MB 0.09/0.35 % OS : Linux 6.8.0-71-generic 0.09/0.35 % CPULimit : 1440 0.09/0.35 % WCLimit : 180 0.09/0.35 % DateTime : Mon Jul 27 09:58:40 UTC 2026 0.09/0.36 % CPUTime : 0.09/0.36 % Running portfolio for 1440 s 0.09/0.36 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p 0.09/0.36 % Number of cores: 8 0.09/0.37 % Python version: Python 3.12.3 0.09/0.37 % Running in HO mode 0.33/0.80 % Total configuration time : 828 0.33/0.80 % Estimated wc time : 1656 0.33/0.80 % Estimated cpu time (8 cpus) : 207.0 0.34/0.93 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s 0.34/0.96 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s 0.34/0.97 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s 0.34/0.99 % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s 0.34/1.00 % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s 0.34/1.01 % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s 0.34/1.04 % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s 2.29/1.10 % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s 53.68/8.43 % Solved by lams/20_acsne_simpl.sh. 53.68/8.43 % done 270 iterations in 6.983s 53.68/8.43 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p' 53.68/8.43 % SZS output start Refutation 53.68/8.43 thf(a_type, type, a: $tType). 53.68/8.43 thf('#sk180_type', type, '#sk180': (a > $o) > a). 53.68/8.43 thf('#form60_type', type, '#form60': (a > $o) > $o). 53.68/8.43 thf('#sk213_type', type, '#sk213': (a > $o) > a). 53.68/8.43 thf('#sk46_type', type, '#sk46': a). 53.68/8.43 thf('#sk227_type', type, '#sk227': (a > $o) > a). 53.68/8.43 thf('#sk143_type', type, '#sk143': (a > $o) > a). 53.68/8.43 thf('#form292_type', type, '#form292': (a > $o) > $o). 53.68/8.43 thf('#sk5_type', type, '#sk5': a > $o). 53.68/8.43 thf('#sk4_type', type, '#sk4': a). 53.68/8.43 thf('#sk89_type', type, '#sk89': a > $o). 53.68/8.43 thf('#sk57_type', type, '#sk57': a). 53.68/8.43 thf('#sk139_type', type, '#sk139': (a > $o) > a). 53.68/8.43 thf('#sk56_type', type, '#sk56': a). 53.68/8.43 thf('#sk15_type', type, '#sk15': (a > $o) > a). 53.68/8.43 thf('#sk191_type', type, '#sk191': (a > $o) > a). 53.68/8.43 thf('#sk61_type', type, '#sk61': (a > $o) > a). 53.68/8.43 thf('#sk36_type', type, '#sk36': a). 53.68/8.43 thf('#sk47_type', type, '#sk47': a). 53.68/8.43 thf('#form107_type', type, '#form107': $o). 53.68/8.43 thf('#sk90_type', type, '#sk90': a > $o). 53.68/8.43 thf('#form35_type', type, '#form35': $o). 53.68/8.43 thf('#form45_type', type, '#form45': $o). 53.68/8.43 thf('#sk3_type', type, '#sk3': a). 53.68/8.43 thf('#sk1_type', type, '#sk1': a > a > $o). 53.68/8.43 thf('#sk21_type', type, '#sk21': (a > $o) > a). 53.68/8.43 thf('#sk2_type', type, '#sk2': a > a > $o). 53.68/8.43 thf('#sk147_type', type, '#sk147': (a > $o) > a). 53.68/8.43 thf('#sk184_type', type, '#sk184': (a > $o) > a). 53.68/8.43 thf('#sk135_type', type, '#sk135': (a > $o) > a). 53.68/8.43 thf('#sk218_type', type, '#sk218': (a > $o) > a). 53.68/8.43 thf(cTHM251H_pme, conjecture, 53.68/8.43 (![R:( a > a > $o ),S:( a > a > $o ),Xx:a,Xy:a]: 53.68/8.43 ( ( ( ~( ![Xq:( a > $o )]: 53.68/8.43 ( ( ( ![Xu:a,Xv:a]: 53.68/8.43 ( ( ( Xq @ Xu ) & ( ( R @ Xu @ Xv ) | ( S @ Xu @ Xv ) ) ) => 53.68/8.43 ( Xq @ Xv ) ) ) & 53.68/8.43 ( ![Xw:a]: 53.68/8.43 ( ( ( S @ Xx @ Xw ) | ( R @ Xx @ Xw ) ) => ( Xq @ Xw ) ) ) ) => 53.68/8.43 ( Xq @ Xy ) ) ) ) & 53.68/8.43 ( ![Xx0:a,Xy0:a,Xz:a]: 53.68/8.43 ( ( ( ![Xq:( a > $o )]: 53.68/8.43 ( ( ( ![Xw:a]: 53.68/8.43 ( ( ( R @ Xy0 @ Xw ) | ( S @ Xy0 @ Xw ) ) => ( Xq @ Xw ) ) ) & 53.68/8.43 ( ![Xu:a,Xv:a]: 53.68/8.43 ( ( ( Xq @ Xu ) & ( ( R @ Xu @ Xv ) | ( S @ Xu @ Xv ) ) ) => 53.68/8.43 ( Xq @ Xv ) ) ) ) => 53.68/8.43 ( Xq @ Xz ) ) ) & 53.68/8.43 ( ![Xq:( a > $o )]: 53.68/8.43 ( ( ( ![Xw:a]: 53.68/8.43 ( ( ( S @ Xx0 @ Xw ) | ( R @ Xx0 @ Xw ) ) => ( Xq @ Xw ) ) ) & 53.68/8.43 ( ![Xu:a,Xv:a]: 53.68/8.43 ( ( ( ( R @ Xu @ Xv ) | ( S @ Xu @ Xv ) ) & ( Xq @ Xu ) ) => 53.68/8.43 ( Xq @ Xv ) ) ) ) => 53.68/8.43 ( Xq @ Xy0 ) ) ) ) => 53.68/8.43 ( ![Xq:( a > $o )]: 53.68/8.43 ( ( ( ![Xw:a]: 53.68/8.43 ( ( ( S @ Xx0 @ Xw ) | ( R @ Xx0 @ Xw ) ) => ( Xq @ Xw ) ) ) & 53.68/8.43 ( ![Xu:a,Xv:a]: 53.68/8.43 ( ( ( ( R @ Xu @ Xv ) | ( S @ Xu @ Xv ) ) & ( Xq @ Xu ) ) => 53.68/8.43 ( Xq @ Xv ) ) ) ) => 53.68/8.43 ( Xq @ Xz ) ) ) ) ) & 53.68/8.43 ( ![Xx0:a,Xy0:a]: 53.68/8.43 ( ( ( ![Xq:( a > $o )]: 53.68/8.43 ( ( ( ![Xw:a]: ( ( R @ Xx0 @ Xw ) => ( Xq @ Xw ) ) ) & 53.68/8.43 ( ![Xu:a,Xv:a]: 53.68/8.43 ( ( ( R @ Xu @ Xv ) & ( Xq @ Xu ) ) => ( Xq @ Xv ) ) ) ) => 53.68/8.43 ( Xq @ Xy0 ) ) ) | 53.68/8.43 ( ![Xq:( a > $o )]: 53.68/8.43 ( ( ( ![Xw:a]: ( ( S @ Xx0 @ Xw ) => ( Xq @ Xw ) ) ) & 53.68/8.43 ( ![Xu:a,Xv:a]: 53.68/8.43 ( ( ( S @ Xu @ Xv ) & ( Xq @ Xu ) ) => ( Xq @ Xv ) ) ) ) => 53.68/8.43 ( Xq @ Xy0 ) ) ) ) => 53.68/8.43 ( ![Xq:( a > $o )]: 53.68/8.43 ( ( ( ![Xu:a,Xv:a]: 53.68/8.43 ( ( ( Xq @ Xu ) & ( ( R @ Xu @ Xv ) | ( S @ Xu @ Xv ) ) ) => 53.68/8.43 ( Xq @ Xv ) ) ) & 53.68/8.43 ( ![Xw:a]: 53.68/8.43 ( ( ( S @ Xx0 @ Xw ) | ( R @ Xx0 @ Xw ) ) => ( Xq @ Xw ) ) ) ) => 53.68/8.43 ( Xq @ Xy0 ) ) ) ) ) ) | 53.68/8.43 ( ![Xq:( a > $o )]: 53.68/8.43 ( ( ( ![Xu:a,Xv:a]: 53.68/8.43 ( ( ( ( S @ Xu @ Xv ) | ( R @ Xu @ Xv ) ) & ( Xq @ Xu ) ) => 53.68/8.43 ( Xq @ Xv ) ) ) & 53.68/8.43 ( ![Xw:a]: 53.68/8.43 ( ( ( R @ Xx @ Xw ) | ( S @ Xx @ Xw ) ) => ( Xq @ Xw ) ) ) ) => 53.68/8.43 ( Xq @ Xy ) ) ) ))). 53.68/8.43 thf(zf_stmt_0, negated_conjecture, 53.68/8.43 (~( ![R:( a > a > $o ),S:( a > a > $o ),Xx:a,Xy:a]: 53.68/8.43 ( ( ( ~( ![Xq:( a > $o )]: 53.68/8.43 ( ( ( ![Xu:a,Xv:a]: 53.68/8.43 ( ( ( Xq @ Xu ) & ( ( R @ Xu @ Xv ) | ( S @ Xu @ Xv ) ) ) => 53.68/8.43 ( Xq @ Xv ) ) ) & 53.68/8.43 ( ![Xw:a]: 53.68/8.43 ( ( ( S @ Xx @ Xw ) | ( R @ Xx @ Xw ) ) => ( Xq @ Xw ) ) ) ) => 53.68/8.43 ( Xq @ Xy ) ) ) ) & 53.68/8.43 ( ![Xx0:a,Xy0:a,Xz:a]: 53.68/8.43 ( ( ( ![Xq:( a > $o )]: 53.68/8.43 ( ( ( ![Xw:a]: 53.68/8.43 ( ( ( R @ Xy0 @ Xw ) | ( S @ Xy0 @ Xw ) ) => 53.68/8.43 ( Xq @ Xw ) ) ) & 53.68/8.43 ( ![Xu:a,Xv:a]: 53.68/8.43 ( ( ( Xq @ Xu ) & 53.68/8.43 ( ( R @ Xu @ Xv ) | ( S @ Xu @ Xv ) ) ) => 53.68/8.43 ( Xq @ Xv ) ) ) ) => 53.68/8.43 ( Xq @ Xz ) ) ) & 53.68/8.43 ( ![Xq:( a > $o )]: 53.68/8.43 ( ( ( ![Xw:a]: 53.68/8.43 ( ( ( S @ Xx0 @ Xw ) | ( R @ Xx0 @ Xw ) ) => 53.68/8.43 ( Xq @ Xw ) ) ) & 53.68/8.43 ( ![Xu:a,Xv:a]: 53.68/8.43 ( ( ( ( R @ Xu @ Xv ) | ( S @ Xu @ Xv ) ) & 53.68/8.43 ( Xq @ Xu ) ) => 53.68/8.43 ( Xq @ Xv ) ) ) ) => 53.68/8.43 ( Xq @ Xy0 ) ) ) ) => 53.68/8.43 ( ![Xq:( a > $o )]: 53.68/8.43 ( ( ( ![Xw:a]: 53.68/8.43 ( ( ( S @ Xx0 @ Xw ) | ( R @ Xx0 @ Xw ) ) => 53.68/8.43 ( Xq @ Xw ) ) ) & 53.68/8.43 ( ![Xu:a,Xv:a]: 53.68/8.43 ( ( ( ( R @ Xu @ Xv ) | ( S @ Xu @ Xv ) ) & ( Xq @ Xu ) ) => 53.68/8.43 ( Xq @ Xv ) ) ) ) => 53.68/8.43 ( Xq @ Xz ) ) ) ) ) & 53.68/8.43 ( ![Xx0:a,Xy0:a]: 53.68/8.43 ( ( ( ![Xq:( a > $o )]: 53.68/8.43 ( ( ( ![Xw:a]: ( ( R @ Xx0 @ Xw ) => ( Xq @ Xw ) ) ) & 53.68/8.43 ( ![Xu:a,Xv:a]: 53.68/8.43 ( ( ( R @ Xu @ Xv ) & ( Xq @ Xu ) ) => ( Xq @ Xv ) ) ) ) => 53.68/8.43 ( Xq @ Xy0 ) ) ) | 53.68/8.43 ( ![Xq:( a > $o )]: 53.68/8.43 ( ( ( ![Xw:a]: ( ( S @ Xx0 @ Xw ) => ( Xq @ Xw ) ) ) & 53.68/8.43 ( ![Xu:a,Xv:a]: 53.68/8.43 ( ( ( S @ Xu @ Xv ) & ( Xq @ Xu ) ) => ( Xq @ Xv ) ) ) ) => 53.68/8.43 ( Xq @ Xy0 ) ) ) ) => 53.68/8.43 ( ![Xq:( a > $o )]: 53.68/8.43 ( ( ( ![Xu:a,Xv:a]: 53.68/8.43 ( ( ( Xq @ Xu ) & ( ( R @ Xu @ Xv ) | ( S @ Xu @ Xv ) ) ) => 53.68/8.43 ( Xq @ Xv ) ) ) & 53.68/8.43 ( ![Xw:a]: 53.68/8.43 ( ( ( S @ Xx0 @ Xw ) | ( R @ Xx0 @ Xw ) ) => 53.68/8.43 ( Xq @ Xw ) ) ) ) => 53.68/8.43 ( Xq @ Xy0 ) ) ) ) ) ) | 53.68/8.43 ( ![Xq:( a > $o )]: 53.68/8.43 ( ( ( ![Xu:a,Xv:a]: 53.68/8.43 ( ( ( ( S @ Xu @ Xv ) | ( R @ Xu @ Xv ) ) & ( Xq @ Xu ) ) => 53.68/8.43 ( Xq @ Xv ) ) ) & 53.68/8.43 ( ![Xw:a]: 53.68/8.43 ( ( ( R @ Xx @ Xw ) | ( S @ Xx @ Xw ) ) => ( Xq @ Xw ) ) ) ) => 53.68/8.43 ( Xq @ Xy ) ) ) ) )), 53.68/8.43 inference('cnf.neg', [status(esa)], [cTHM251H_pme])). 53.68/8.43 thf(zip_derived_cl0, plain, 53.68/8.43 (~ (((!!) @ (^[Y0 : a > a > $o]: 53.68/8.43 (((!!) @ (^[Y1 : a > a > $o]: 53.68/8.43 (((!!) @ (^[Y2 : a]: 53.68/8.43 (((!!) @ (^[Y3 : a]: 53.68/8.43 (((((((~) @ (( 53.68/8.43 (!!) @ ( 53.68/8.43 ^[Y4 : a > $o]: 53.68/8.43 (( 53.68/8.43 (( 53.68/8.43 (( 53.68/8.43 (!!) @ ( 53.68/8.43 ^[Y5 : a]: 53.68/8.43 (( 53.68/8.43 (!!) @ ( 53.68/8.43 ^[Y6 : a]: 53.68/8.43 (( 53.68/8.43 (( 53.68/8.43 (Y4 @ 53.68/8.43 Y5) & 53.68/8.43 (( 53.68/8.43 (Y0 @ 53.68/8.43 Y5 @ 53.68/8.43 Y6) | 53.68/8.43 (Y1 @ 53.68/8.43 Y5 @ Y6))))) => 53.68/8.43 (Y4 @ Y6))))))))) & 53.68/8.43 (( 53.68/8.43 (!!) @ ( 53.68/8.43 ^[Y5 : a]: 53.68/8.43 (( 53.68/8.43 (( 53.68/8.43 (Y1 @ 53.68/8.43 Y2 @ 53.68/8.43 Y5) | 53.68/8.43 (Y0 @ 53.68/8.43 Y2 @ Y5))) => 53.68/8.43 (Y4 @ Y5)))))))) => 53.68/8.43 (Y4 @ Y3)))))))) & 53.68/8.43 (((!!) @ ( 53.68/8.43 ^[Y4 : a]: 53.68/8.43 (((!!) @ ( 53.68/8.43 ^[Y5 : a]: 53.68/8.43 (( 53.68/8.43 (!!) @ ( 53.68/8.43 ^[Y6 : a]: 53.68/8.43 (( 53.68/8.43 (( 53.68/8.43 (( 53.68/8.43 (!!) @ ( 53.68/8.43 ^[Y7 : a > $o]: 53.68/8.43 (( 53.68/8.43 (( 53.68/8.43 (( 53.68/8.43 (!!) @ ( 53.68/8.43 ^[Y8 : a]: 53.68/8.43 (( 53.68/8.43 (( 53.68/8.43 (Y0 @ 53.68/8.43 Y5 @ 53.68/8.43 Y8) | 53.68/8.43 (Y1 @ 53.68/8.43 Y5 @ Y8))) => 53.68/8.43 (Y7 @ Y8)))))) & 53.68/8.43 (( 53.68/8.43 (!!) @ ( 53.68/8.43 ^[Y8 : a]: 53.68/8.43 (( 53.68/8.43 (!!) @ ( 53.68/8.43 ^[Y9 : a]: 53.68/8.43 (( 53.68/8.43 (( 53.68/8.43 (Y7 @ 53.68/8.43 Y8) & 53.68/8.43 (( 53.68/8.43 (Y0 @ 53.68/8.43 Y8 @ 53.68/8.43 Y9) | 53.68/8.43 (Y1 @ 53.68/8.43 Y8 @ Y9))))) => 53.68/8.43 (Y7 @ Y9))))))))))) => 53.68/8.43 (Y7 @ Y6)))))) & 53.68/8.43 (( 53.68/8.43 (!!) @ ( 53.68/8.43 ^[Y7 : a > $o]: 53.68/8.43 (( 53.68/8.43 (( 53.68/8.43 (( 53.68/8.43 (!!) @ ( 53.68/8.43 ^[Y8 : a]: 53.68/8.43 (( 53.68/8.43 (( 53.68/8.43 (Y1 @ 53.68/8.43 Y4 @ 53.68/8.43 Y8) | 53.68/8.43 (Y0 @ 53.68/8.43 Y4 @ Y8))) => 53.68/8.43 (Y7 @ Y8)))))) & 53.68/8.43 (( 53.68/8.43 (!!) @ ( 53.68/8.43 ^[Y8 : a]: 53.68/8.43 (( 53.68/8.43 (!!) @ ( 53.68/8.43 ^[Y9 : a]: 53.68/8.43 (( 53.68/8.43 (( 53.68/8.43 (( 53.68/8.43 (Y0 @ 53.68/8.43 Y8 @ 53.68/8.43 Y9) | 53.68/8.43 (Y1 @ 53.68/8.43 Y8 @ Y9))) & 53.68/8.43 (Y7 @ Y8))) => 53.68/8.43 (Y7 @ Y9))))))))))) => 53.68/8.43 (Y7 @ Y5)))))))) => 53.68/8.43 (( 53.68/8.43 (!!) @ ( 53.68/8.43 ^[Y7 : a > $o]: 53.68/8.43 (( 53.68/8.43 (( 53.68/8.43 (( 53.68/8.43 (!!) @ ( 53.68/8.43 ^[Y8 : a]: 53.68/8.43 (( 53.68/8.43 (( 53.68/8.43 (Y1 @ 53.68/8.43 Y4 @ 53.68/8.43 Y8) | 53.68/8.43 (Y0 @ 53.68/8.43 Y4 @ Y8))) => 53.68/8.43 (Y7 @ Y8)))))) & 53.68/8.43 (( 53.68/8.43 (!!) @ ( 53.68/8.43 ^[Y8 : a]: 53.68/8.43 (( 53.68/8.43 (!!) @ ( 53.68/8.43 ^[Y9 : a]: 53.68/8.43 (( 53.68/8.43 (( 53.68/8.43 (( 53.68/8.43 (Y0 @ 53.68/8.43 Y8 @ 53.68/8.43 Y9) | 53.68/8.43 (Y1 @ 53.68/8.43 Y8 @ Y9))) & 53.68/8.43 (Y7 @ Y8))) => 53.68/8.43 (Y7 @ Y9))))))))))) => 53.68/8.43 (Y7 @ Y6))))))))))))))))) & 53.68/8.43 (((!!) @ ( 53.68/8.43 ^[Y4 : a]: 53.68/8.43 (((!!) @ ( 53.68/8.43 ^[Y5 : a]: 53.68/8.43 (( 53.68/8.43 (( 53.68/8.43 (( 53.68/8.43 (!!) @ ( 53.68/8.43 ^[Y6 : a > $o]: 53.68/8.43 (( 53.68/8.43 (( 53.68/8.43 (( 53.68/8.43 (!!) @ ( 53.68/8.43 ^[Y7 : a]: 53.68/8.43 (( 53.68/8.43 (Y0 @ 53.68/8.43 Y4 @ 53.68/8.43 Y7) => 53.68/8.43 (Y6 @ Y7)))))) & 53.68/8.43 (( 53.68/8.43 (!!) @ ( 53.68/8.43 ^[Y7 : a]: 53.68/8.43 (( 53.68/8.43 (!!) @ ( 53.68/8.43 ^[Y8 : a]: 53.68/8.43 (( 53.68/8.43 (( 53.68/8.43 (Y0 @ 53.68/8.43 Y7 @ 53.68/8.43 Y8) & 53.68/8.43 (Y6 @ Y7))) => 53.68/8.43 (Y6 @ Y8))))))))))) => 53.68/8.43 (Y6 @ Y5)))))) | 53.68/8.43 (( 53.68/8.43 (!!) @ ( 53.68/8.43 ^[Y6 : a > $o]: 53.68/8.43 (( 53.68/8.43 (( 53.68/8.43 (( 53.68/8.43 (!!) @ ( 53.68/8.43 ^[Y7 : a]: 53.68/8.43 (( 53.68/8.43 (Y1 @ 53.68/8.43 Y4 @ 53.68/8.43 Y7) => 53.68/8.43 (Y6 @ Y7)))))) & 53.68/8.43 (( 53.68/8.43 (!!) @ ( 53.68/8.43 ^[Y7 : a]: 53.68/8.43 (( 53.68/8.43 (!!) @ ( 53.68/8.43 ^[Y8 : a]: 53.68/8.43 (( 53.68/8.43 (( 53.68/8.43 (Y1 @ 53.68/8.43 Y7 @ 53.68/8.43 Y8) & 53.68/8.43 (Y6 @ Y7))) => 53.68/8.43 (Y6 @ Y8))))))))))) => 53.68/8.43 (Y6 @ Y5)))))))) => 53.68/8.43 (( 53.68/8.43 (!!) @ ( 53.68/8.43 ^[Y6 : a > $o]: 53.68/8.43 (( 53.68/8.43 (( 53.68/8.43 (( 53.68/8.43 (!!) @ ( 53.68/8.43 ^[Y7 : a]: 53.68/8.43 (( 53.68/8.43 (!!) @ ( 53.68/8.43 ^[Y8 : a]: 53.68/8.43 (( 53.68/8.43 (( 53.68/8.43 (Y6 @ 53.68/8.43 Y7) & 53.68/8.43 (( 53.68/8.43 (Y0 @ 53.68/8.43 Y7 @ 53.68/8.43 Y8) | 53.68/8.43 (Y1 @ 53.68/8.43 Y7 @ Y8))))) => 53.68/8.43 (Y6 @ Y8))))))))) & 53.68/8.43 (( 53.68/8.43 (!!) @ ( 53.68/8.43 ^[Y7 : a]: 53.68/8.43 (( 53.68/8.43 (( 53.68/8.43 (Y1 @ 53.68/8.43 Y4 @ 53.68/8.43 Y7) | 53.68/8.43 (Y0 @ 53.68/8.43 Y4 @ Y7))) => 53.68/8.43 (Y6 @ Y7)))))))) => 53.68/8.43 (Y6 @ Y5)))))))))))))))) | 53.68/8.43 (((!!) @ (^[Y4 : a > $o]: 53.68/8.43 (( 53.68/8.43 (( 53.68/8.43 (( 53.68/8.43 (!!) @ ( 53.68/8.43 ^[Y5 : a]: 53.68/8.43 (( 53.68/8.43 (!!) @ ( 53.68/8.43 ^[Y6 : a]: 53.68/8.43 (( 53.68/8.43 (( 53.68/8.43 (( 53.68/8.43 (Y1 @ 53.68/8.43 Y5 @ 53.68/8.43 Y6) | 53.68/8.43 (Y0 @ 53.68/8.43 Y5 @ Y6))) & 53.68/8.43 (Y4 @ Y5))) => 53.68/8.43 (Y4 @ Y6))))))))) & 53.68/8.43 (( 53.68/8.43 (!!) @ ( 53.68/8.43 ^[Y5 : a]: 53.68/8.43 (( 53.68/8.43 (( 53.68/8.43 (Y0 @ 53.68/8.43 Y2 @ 53.68/8.43 Y5) | 53.68/8.43 (Y1 @ 53.68/8.43 Y2 @ Y5))) => 53.68/8.43 (Y4 @ Y5)))))))) => 53.68/8.43 (Y4 @ Y3))))))))))))))))))))), 53.68/8.43 inference('cnf', [status(esa)], [zf_stmt_0])). 53.68/8.43 thf(zip_derived_cl1, plain, 53.68/8.43 (~ (((!!) @ (^[Y0 : a > a > $o]: 53.68/8.43 (((!!) @ (^[Y1 : a]: 53.68/8.43 (((!!) @ (^[Y2 : a]: 53.68/8.43 (((((((~) @ (((!!) @ (^[Y3 : a > $o]: 53.68/8.43 (( 53.68/8.43 (( 53.68/8.43 (( 53.68/8.43 (!!) @ ( 53.68/8.43 ^[Y4 : a]: 53.68/8.43 (( 53.68/8.43 (!!) @ ( 53.68/8.43 ^[Y5 : a]: 53.68/8.43 (( 53.68/8.43 (( 53.68/8.43 (Y3 @ 53.68/8.43 Y4) & 53.68/8.43 (( 53.68/8.43 ('#sk1' @ 53.68/8.43 Y4 @ 53.68/8.43 Y5) | 53.68/8.43 (Y0 @ 53.68/8.43 Y4 @ Y5))))) => 53.68/8.43 (Y3 @ Y5))))))))) & 53.68/8.43 (( 53.68/8.43 (!!) @ ( 53.68/8.43 ^[Y4 : a]: 53.68/8.43 (( 53.68/8.43 (( 53.68/8.43 (Y0 @ 53.68/8.43 Y1 @ 53.68/8.43 Y4) | 53.68/8.43 ('#sk1' @ 53.68/8.43 Y1 @ Y4))) => 53.68/8.43 (Y3 @ Y4)))))))) => 53.68/8.43 (Y3 @ Y2)))))))) & 53.68/8.43 (((!!) @ (^[Y3 : a]: 53.68/8.43 (((!!) @ ( 53.68/8.43 ^[Y4 : a]: 53.68/8.43 (((!!) @ ( 53.68/8.43 ^[Y5 : a]: 53.68/8.43 (( 53.68/8.43 (( 53.68/8.43 (( 53.68/8.43 (!!) @ ( 53.68/8.43 ^[Y6 : a > $o]: 53.68/8.43 (( 53.68/8.43 (( 53.68/8.43 (( 53.68/8.43 (!!) @ ( 53.68/8.43 ^[Y7 : a]: 53.68/8.43 (( 53.68/8.43 (( 53.68/8.43 ('#sk1' @ 53.68/8.43 Y4 @ 53.68/8.43 Y7) | 53.68/8.43 (Y0 @ 53.68/8.43 Y4 @ Y7))) => 53.68/8.43 (Y6 @ Y7)))))) & 53.68/8.43 (( 53.68/8.43 (!!) @ ( 53.68/8.43 ^[Y7 : a]: 53.68/8.43 (( 53.68/8.43 (!!) @ ( 53.68/8.43 ^[Y8 : a]: 53.68/8.43 (( 53.68/8.43 (( 53.68/8.43 (Y6 @ 53.68/8.43 Y7) & 53.68/8.43 (( 53.68/8.43 ('#sk1' @ 53.68/8.43 Y7 @ 53.68/8.43 Y8) | 53.68/8.43 (Y0 @ 53.68/8.43 Y7 @ Y8))))) => 53.68/8.43 (Y6 @ Y8))))))))))) => 53.68/8.43 (Y6 @ Y5)))))) & 53.68/8.43 (( 53.68/8.43 (!!) @ ( 53.68/8.43 ^[Y6 : a > $o]: 53.68/8.43 (( 53.68/8.43 (( 53.68/8.43 (( 53.68/8.43 (!!) @ ( 53.68/8.43 ^[Y7 : a]: 53.68/8.43 (( 53.68/8.43 (( 53.68/8.43 (Y0 @ 53.68/8.43 Y3 @ 53.68/8.43 Y7) | 53.68/8.43 ('#sk1' @ 53.68/8.43 Y3 @ Y7))) => 53.68/8.43 (Y6 @ Y7)))))) & 53.68/8.43 (( 53.68/8.43 (!!) @ ( 53.68/8.43 ^[Y7 : a]: 53.68/8.43 (( 53.68/8.43 (!!) @ ( 53.68/8.43 ^[Y8 : a]: 53.68/8.43 (( 53.68/8.43 (( 53.68/8.43 (( 53.68/8.43 ('#sk1' @ 53.68/8.43 Y7 @ 53.68/8.43 Y8) | 53.68/8.43 (Y0 @ 53.68/8.43 Y7 @ Y8))) & 53.68/8.43 (Y6 @ Y7))) => 53.68/8.43 (Y6 @ Y8))))))))))) => 53.68/8.43 (Y6 @ Y4)))))))) => 53.68/8.43 (( 53.68/8.43 (!!) @ ( 53.68/8.43 ^[Y6 : a > $o]: 53.68/8.43 (( 53.68/8.43 (( 53.68/8.43 (( 53.68/8.43 (!!) @ ( 53.68/8.43 ^[Y7 : a]: 53.68/8.43 (( 53.68/8.43 (( 53.68/8.43 (Y0 @ 53.68/8.43 Y3 @ 53.68/8.43 Y7) | 53.68/8.43 ('#sk1' @ 53.68/8.43 Y3 @ Y7))) => 53.68/8.43 (Y6 @ Y7)))))) & 53.68/8.43 (( 53.68/8.43 (!!) @ ( 53.68/8.43 ^[Y7 : a]: 53.68/8.43 (( 53.68/8.43 (!!) @ ( 53.68/8.43 ^[Y8 : a]: 53.68/8.43 (( 53.68/8.43 (( 53.68/8.43 (( 53.68/8.43 ('#sk1' @ 53.68/8.43 Y7 @ 53.68/8.43 Y8) | 53.68/8.43 (Y0 @ 53.68/8.43 Y7 @ Y8))) & 53.68/8.43 (Y6 @ Y7))) => 53.68/8.43 (Y6 @ Y8))))))))))) => 53.68/8.43 (Y6 @ Y5))))))))))))))))) & 53.68/8.43 (((!!) @ (^[Y3 : a]: 53.68/8.43 (((!!) @ ( 53.68/8.43 ^[Y4 : a]: 53.68/8.43 (((((( 53.68/8.43 (!!) @ ( 53.68/8.43 ^[Y5 : a > $o]: 53.68/8.43 (( 53.68/8.43 (( 53.68/8.43 (( 53.68/8.43 (!!) @ ( 53.68/8.43 ^[Y6 : a]: 53.68/8.43 (( 53.68/8.43 ('#sk1' @ 53.68/8.43 Y3 @ 53.68/8.43 Y6) => 53.68/8.43 (Y5 @ Y6)))))) & 53.68/8.43 (( 53.68/8.43 (!!) @ ( 53.68/8.43 ^[Y6 : a]: 53.68/8.43 (( 53.68/8.43 (!!) @ ( 53.68/8.43 ^[Y7 : a]: 53.68/8.43 (( 53.68/8.43 (( 53.68/8.43 ('#sk1' @ 53.68/8.43 Y6 @ 53.68/8.43 Y7) & 53.68/8.43 (Y5 @ Y6))) => 53.68/8.43 (Y5 @ Y7))))))))))) => 53.68/8.43 (Y5 @ Y4)))))) | 53.68/8.43 (( 53.68/8.43 (!!) @ ( 53.68/8.43 ^[Y5 : a > $o]: 53.68/8.43 (( 53.68/8.43 (( 53.68/8.43 (( 53.68/8.43 (!!) @ ( 53.68/8.43 ^[Y6 : a]: 53.68/8.43 (( 53.68/8.43 (Y0 @ 53.68/8.43 Y3 @ 53.68/8.43 Y6) => 53.68/8.43 (Y5 @ Y6)))))) & 53.68/8.43 (( 53.68/8.43 (!!) @ ( 53.68/8.43 ^[Y6 : a]: 53.68/8.43 (( 53.68/8.43 (!!) @ ( 53.68/8.43 ^[Y7 : a]: 53.68/8.43 (( 53.68/8.43 (( 53.68/8.43 (Y0 @ 53.68/8.43 Y6 @ 53.68/8.43 Y7) & 53.68/8.43 (Y5 @ Y6))) => 53.68/8.43 (Y5 @ Y7))))))))))) => 53.68/8.43 (Y5 @ Y4)))))))) => 53.68/8.43 (((!!) @ ( 53.68/8.43 ^[Y5 : a > $o]: 53.68/8.43 (( 53.68/8.43 (( 53.68/8.43 (( 53.68/8.43 (!!) @ ( 53.68/8.43 ^[Y6 : a]: 53.68/8.43 (( 53.68/8.43 (!!) @ ( 53.68/8.43 ^[Y7 : a]: 53.68/8.43 (( 53.68/8.43 (( 53.68/8.43 (Y5 @ 53.68/8.43 Y6) & 53.68/8.43 (( 53.68/8.43 ('#sk1' @ 53.68/8.43 Y6 @ 53.68/8.43 Y7) | 53.68/8.43 (Y0 @ 53.68/8.43 Y6 @ Y7))))) => 53.68/8.43 (Y5 @ Y7))))))))) & 53.68/8.43 (( 53.68/8.43 (!!) @ ( 53.68/8.43 ^[Y6 : a]: 53.68/8.43 (( 53.68/8.43 (( 53.68/8.43 (Y0 @ 53.68/8.43 Y3 @ 53.68/8.43 Y6) | 53.68/8.43 ('#sk1' @ 53.68/8.43 Y3 @ Y6))) => 53.68/8.43 (Y5 @ Y6)))))))) => 53.68/8.43 (Y5 @ Y4)))))))))))))))) | 53.68/8.43 (((!!) @ (^[Y3 : a > $o]: 53.68/8.43 (((((((!!) @ ( 53.68/8.43 ^[Y4 : a]: 53.68/8.43 (((!!) @ ( 53.68/8.43 ^[Y5 : a]: 53.68/8.43 (( 53.68/8.43 (( 53.68/8.43 (( 53.68/8.43 (Y0 @ 53.68/8.43 Y4 @ 53.68/8.43 Y5) | 53.68/8.43 ('#sk1' @ 53.68/8.43 Y4 @ Y5))) & 53.68/8.43 (Y3 @ Y4))) => 53.68/8.43 (Y3 @ Y5))))))))) & 53.68/8.43 (((!!) @ ( 53.68/8.43 ^[Y4 : a]: 53.68/8.43 (((( 53.68/8.43 ('#sk1' @ 53.68/8.43 Y1 @ Y4) | 53.68/8.43 (Y0 @ 53.68/8.43 Y1 @ Y4))) => 53.68/8.43 (Y3 @ Y4)))))))) => 53.68/8.43 (Y3 @ Y2)))))))))))))))))), 53.68/8.43 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl0])). 53.68/8.43 thf(zip_derived_cl2, plain, 53.68/8.43 (~ (((!!) @ (^[Y0 : a]: 53.68/8.43 (((!!) @ (^[Y1 : a]: 53.68/8.43 (((((((~) @ (((!!) @ (^[Y2 : a > $o]: 53.68/8.43 (((((((!!) @ ( 53.68/8.43 ^[Y3 : a]: 53.68/8.43 (((!!) @ ( 53.68/8.43 ^[Y4 : a]: 53.68/8.43 (( 53.68/8.43 (( 53.68/8.43 (Y2 @ 53.68/8.43 Y3) & 53.68/8.43 (( 53.68/8.43 ('#sk1' @ 53.68/8.43 Y3 @ 53.68/8.43 Y4) | 53.68/8.43 ('#sk2' @ 53.68/8.43 Y3 @ Y4))))) => 53.68/8.43 (Y2 @ Y4))))))))) & 53.68/8.43 (((!!) @ ( 53.68/8.43 ^[Y3 : a]: 53.68/8.43 ((((('#sk2' @ 53.68/8.43 Y0 @ Y3) | 53.68/8.43 ('#sk1' @ 53.68/8.43 Y0 @ Y3))) => 53.68/8.43 (Y2 @ Y3)))))))) => 53.68/8.43 (Y2 @ Y1)))))))) & 53.68/8.43 (((!!) @ (^[Y2 : a]: 53.68/8.43 (((!!) @ (^[Y3 : a]: 53.68/8.43 (((!!) @ ( 53.68/8.43 ^[Y4 : a]: 53.68/8.43 (((((( 53.68/8.43 (!!) @ ( 53.68/8.43 ^[Y5 : a > $o]: 53.68/8.43 (( 53.68/8.43 (( 53.68/8.43 (( 53.68/8.43 (!!) @ ( 53.68/8.43 ^[Y6 : a]: 53.68/8.43 (( 53.68/8.43 (( 53.68/8.43 ('#sk1' @ 53.68/8.43 Y3 @ 53.68/8.43 Y6) | 53.68/8.43 ('#sk2' @ 53.68/8.43 Y3 @ Y6))) => 53.68/8.43 (Y5 @ Y6)))))) & 53.68/8.43 (( 53.68/8.43 (!!) @ ( 53.68/8.43 ^[Y6 : a]: 53.68/8.43 (( 53.68/8.43 (!!) @ ( 53.68/8.43 ^[Y7 : a]: 53.68/8.43 (( 53.68/8.43 (( 53.68/8.43 (Y5 @ 53.68/8.43 Y6) & 53.68/8.43 (( 53.68/8.43 ('#sk1' @ 53.68/8.43 Y6 @ 53.68/8.43 Y7) | 53.68/8.43 ('#sk2' @ 53.68/8.43 Y6 @ Y7))))) => 53.68/8.43 (Y5 @ Y7))))))))))) => 53.68/8.43 (Y5 @ Y4)))))) & 53.68/8.43 (( 53.68/8.43 (!!) @ ( 53.68/8.43 ^[Y5 : a > $o]: 53.68/8.43 (( 53.68/8.43 (( 53.68/8.43 (( 53.68/8.43 (!!) @ ( 53.68/8.43 ^[Y6 : a]: 53.68/8.43 (( 53.68/8.43 (( 53.68/8.43 ('#sk2' @ 53.68/8.43 Y2 @ 53.68/8.43 Y6) | 53.68/8.43 ('#sk1' @ 53.68/8.43 Y2 @ Y6))) => 53.68/8.43 (Y5 @ Y6)))))) & 53.68/8.43 (( 53.68/8.43 (!!) @ ( 53.68/8.43 ^[Y6 : a]: 53.68/8.43 (( 53.68/8.43 (!!) @ ( 53.68/8.43 ^[Y7 : a]: 53.68/8.43 (( 53.68/8.43 (( 53.68/8.43 (( 53.68/8.43 ('#sk1' @ 53.68/8.43 Y6 @ 53.68/8.43 Y7) | 53.68/8.43 ('#sk2' @ 53.68/8.43 Y6 @ Y7))) & 53.68/8.43 (Y5 @ Y6))) => 53.68/8.43 (Y5 @ Y7))))))))))) => 53.68/8.43 (Y5 @ Y3)))))))) => 53.68/8.43 (((!!) @ ( 53.68/8.43 ^[Y5 : a > $o]: 53.68/8.43 (( 53.68/8.43 (( 53.68/8.43 (( 53.68/8.43 (!!) @ ( 53.68/8.43 ^[Y6 : a]: 53.68/8.43 (( 53.68/8.43 (( 53.68/8.43 ('#sk2' @ 53.68/8.43 Y2 @ 53.68/8.43 Y6) | 53.68/8.43 ('#sk1' @ 53.68/8.43 Y2 @ Y6))) => 53.68/8.43 (Y5 @ Y6)))))) & 53.68/8.43 (( 53.68/8.43 (!!) @ ( 53.68/8.43 ^[Y6 : a]: 53.68/8.43 (( 53.68/8.43 (!!) @ ( 53.68/8.43 ^[Y7 : a]: 53.68/8.43 (( 53.68/8.43 (( 53.68/8.43 (( 53.68/8.43 ('#sk1' @ 53.68/8.43 Y6 @ 53.68/8.43 Y7) | 53.68/8.43 ('#sk2' @ 53.68/8.43 Y6 @ Y7))) & 53.68/8.43 (Y5 @ Y6))) => 53.68/8.43 (Y5 @ Y7))))))))))) => 53.68/8.43 (Y5 @ Y4))))))))))))))))) & 53.68/8.43 (((!!) @ (^[Y2 : a]: 53.68/8.43 (((!!) @ (^[Y3 : a]: 53.68/8.43 (((((((!!) @ ( 53.68/8.43 ^[Y4 : a > $o]: 53.68/8.43 (( 53.68/8.43 (( 53.68/8.43 (( 53.68/8.43 (!!) @ ( 53.68/8.43 ^[Y5 : a]: 53.68/8.43 (( 53.68/8.43 ('#sk1' @ 53.68/8.43 Y2 @ 53.68/8.43 Y5) => 53.68/8.43 (Y4 @ Y5)))))) & 53.68/8.43 (( 53.68/8.43 (!!) @ ( 53.68/8.43 ^[Y5 : a]: 53.68/8.43 (( 53.68/8.43 (!!) @ ( 53.68/8.43 ^[Y6 : a]: 53.68/8.43 (( 53.68/8.43 (( 53.68/8.43 ('#sk1' @ 53.68/8.43 Y5 @ 53.68/8.43 Y6) & 53.68/8.43 (Y4 @ Y5))) => 53.68/8.43 (Y4 @ Y6))))))))))) => 53.68/8.43 (Y4 @ Y3)))))) | 53.68/8.43 (((!!) @ ( 53.68/8.43 ^[Y4 : a > $o]: 53.68/8.43 (( 53.68/8.43 (( 53.68/8.43 (( 53.68/8.43 (!!) @ ( 53.68/8.43 ^[Y5 : a]: 53.68/8.43 (( 53.68/8.43 ('#sk2' @ 53.68/8.43 Y2 @ 53.68/8.43 Y5) => 53.68/8.43 (Y4 @ Y5)))))) & 53.68/8.43 (( 53.68/8.43 (!!) @ ( 53.68/8.43 ^[Y5 : a]: 53.68/8.43 (( 53.68/8.43 (!!) @ ( 53.68/8.43 ^[Y6 : a]: 53.68/8.43 (( 53.68/8.43 (( 53.68/8.43 ('#sk2' @ 53.68/8.43 Y5 @ 53.68/8.43 Y6) & 53.68/8.43 (Y4 @ Y5))) => 53.68/8.43 (Y4 @ Y6))))))))))) => 53.68/8.43 (Y4 @ Y3)))))))) => 53.68/8.43 (((!!) @ ( 53.68/8.43 ^[Y4 : a > $o]: 53.68/8.43 (((( 53.68/8.43 (( 53.68/8.43 (!!) @ ( 53.68/8.43 ^[Y5 : a]: 53.68/8.43 (( 53.68/8.43 (!!) @ ( 53.68/8.43 ^[Y6 : a]: 53.68/8.43 (( 53.68/8.43 (( 53.68/8.43 (Y4 @ 53.68/8.43 Y5) & 53.68/8.43 (( 53.68/8.43 ('#sk1' @ 53.68/8.43 Y5 @ 53.68/8.43 Y6) | 53.68/8.43 ('#sk2' @ 53.68/8.43 Y5 @ Y6))))) => 53.68/8.43 (Y4 @ Y6))))))))) & 53.68/8.43 (( 53.68/8.43 (!!) @ ( 53.68/8.43 ^[Y5 : a]: 53.68/8.43 (( 53.68/8.43 (( 53.68/8.43 ('#sk2' @ 53.68/8.43 Y2 @ 53.68/8.43 Y5) | 53.68/8.43 ('#sk1' @ 53.68/8.43 Y2 @ Y5))) => 53.68/8.43 (Y4 @ Y5)))))))) => 53.68/8.43 (Y4 @ Y3)))))))))))))))) | 53.68/8.43 (((!!) @ (^[Y2 : a > $o]: 53.68/8.43 (((((((!!) @ (^[Y3 : a]: 53.68/8.43 (((!!) @ ( 53.68/8.43 ^[Y4 : a]: 53.68/8.43 (((( 53.68/8.43 (( 53.68/8.43 ('#sk2' @ 53.68/8.43 Y3 @ Y4) | 53.68/8.43 ('#sk1' @ 53.68/8.43 Y3 @ Y4))) & 53.68/8.43 (Y2 @ Y3))) => 53.68/8.44 (Y2 @ Y4))))))))) & 53.68/8.44 (((!!) @ (^[Y3 : a]: 53.68/8.44 ((((('#sk1' @ 53.68/8.44 Y0 @ Y3) | 53.68/8.44 ('#sk2' @ 53.68/8.44 Y0 @ Y3))) => 53.68/8.44 (Y2 @ Y3)))))))) => 53.68/8.44 (Y2 @ Y1))))))))))))))), 53.68/8.44 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl1])). 53.68/8.44 thf(zip_derived_cl3, plain, 53.68/8.44 (~ (((!!) @ (^[Y0 : a]: 53.68/8.44 (((((((~) @ (((!!) @ (^[Y1 : a > $o]: 53.68/8.44 (((((((!!) @ (^[Y2 : a]: 53.68/8.44 (((!!) @ ( 53.68/8.44 ^[Y3 : a]: 53.68/8.44 (((((Y1 @ 53.68/8.44 Y2) & 53.68/8.44 (( 53.68/8.44 ('#sk1' @ 53.68/8.44 Y2 @ Y3) | 53.68/8.44 ('#sk2' @ 53.68/8.44 Y2 @ Y3))))) => 53.68/8.44 (Y1 @ Y3))))))))) & 53.68/8.44 (((!!) @ (^[Y2 : a]: 53.68/8.44 ((((('#sk2' @ 53.68/8.44 '#sk3' @ Y2) | 53.68/8.44 ('#sk1' @ 53.68/8.44 '#sk3' @ Y2))) => 53.68/8.44 (Y1 @ Y2)))))))) => 53.68/8.44 (Y1 @ Y0)))))))) & 53.68/8.44 (((!!) @ (^[Y1 : a]: 53.68/8.44 (((!!) @ (^[Y2 : a]: 53.68/8.44 (((!!) @ (^[Y3 : a]: 53.68/8.44 (((((((!!) @ ( 53.68/8.44 ^[Y4 : a > $o]: 53.68/8.44 (( 53.68/8.44 (( 53.68/8.44 (( 53.68/8.44 (!!) @ ( 53.68/8.44 ^[Y5 : a]: 53.68/8.44 (( 53.68/8.44 (( 53.68/8.44 ('#sk1' @ 53.68/8.44 Y2 @ 53.68/8.44 Y5) | 53.68/8.44 ('#sk2' @ 53.68/8.44 Y2 @ Y5))) => 53.68/8.44 (Y4 @ Y5)))))) & 53.68/8.44 (( 53.68/8.44 (!!) @ ( 53.68/8.44 ^[Y5 : a]: 53.68/8.44 (( 53.68/8.44 (!!) @ ( 53.68/8.44 ^[Y6 : a]: 53.68/8.44 (( 53.68/8.44 (( 53.68/8.44 (Y4 @ 53.68/8.44 Y5) & 53.68/8.44 (( 53.68/8.44 ('#sk1' @ 53.68/8.44 Y5 @ 53.68/8.44 Y6) | 53.68/8.44 ('#sk2' @ 53.68/8.44 Y5 @ Y6))))) => 53.68/8.44 (Y4 @ Y6))))))))))) => 53.68/8.44 (Y4 @ Y3)))))) & 53.68/8.44 (((!!) @ ( 53.68/8.44 ^[Y4 : a > $o]: 53.68/8.44 (( 53.68/8.44 (( 53.68/8.44 (( 53.68/8.44 (!!) @ ( 53.68/8.44 ^[Y5 : a]: 53.68/8.44 (( 53.68/8.44 (( 53.68/8.44 ('#sk2' @ 53.68/8.44 Y1 @ 53.68/8.44 Y5) | 53.68/8.44 ('#sk1' @ 53.68/8.44 Y1 @ Y5))) => 53.68/8.44 (Y4 @ Y5)))))) & 53.68/8.44 (( 53.68/8.44 (!!) @ ( 53.68/8.44 ^[Y5 : a]: 53.68/8.44 (( 53.68/8.44 (!!) @ ( 53.68/8.44 ^[Y6 : a]: 53.68/8.44 (( 53.68/8.44 (( 53.68/8.44 (( 53.68/8.44 ('#sk1' @ 53.68/8.44 Y5 @ 53.68/8.44 Y6) | 53.68/8.44 ('#sk2' @ 53.68/8.44 Y5 @ Y6))) & 53.68/8.44 (Y4 @ Y5))) => 53.68/8.44 (Y4 @ Y6))))))))))) => 53.68/8.44 (Y4 @ Y2)))))))) => 53.68/8.44 (((!!) @ ( 53.68/8.44 ^[Y4 : a > $o]: 53.68/8.44 (((( 53.68/8.44 (( 53.68/8.44 (!!) @ ( 53.68/8.44 ^[Y5 : a]: 53.68/8.44 (( 53.68/8.44 (( 53.68/8.44 ('#sk2' @ 53.68/8.44 Y1 @ 53.68/8.44 Y5) | 53.68/8.44 ('#sk1' @ 53.68/8.44 Y1 @ Y5))) => 53.68/8.44 (Y4 @ Y5)))))) & 53.68/8.44 (( 53.68/8.44 (!!) @ ( 53.68/8.44 ^[Y5 : a]: 53.68/8.44 (( 53.68/8.44 (!!) @ ( 53.68/8.44 ^[Y6 : a]: 53.68/8.44 (( 53.68/8.44 (( 53.68/8.44 (( 53.68/8.44 ('#sk1' @ 53.68/8.44 Y5 @ 53.68/8.44 Y6) | 53.68/8.44 ('#sk2' @ 53.68/8.44 Y5 @ Y6))) & 53.68/8.44 (Y4 @ Y5))) => 53.68/8.44 (Y4 @ Y6))))))))))) => 53.68/8.44 (Y4 @ Y3))))))))))))))))) & 53.68/8.44 (((!!) @ (^[Y1 : a]: 53.68/8.44 (((!!) @ (^[Y2 : a]: 53.68/8.44 (((((((!!) @ (^[Y3 : a > $o]: 53.68/8.44 (((((( 53.68/8.44 (!!) @ ( 53.68/8.44 ^[Y4 : a]: 53.68/8.44 (( 53.68/8.44 ('#sk1' @ 53.68/8.44 Y1 @ 53.68/8.44 Y4) => 53.68/8.44 (Y3 @ Y4)))))) & 53.68/8.44 (( 53.68/8.44 (!!) @ ( 53.68/8.44 ^[Y4 : a]: 53.68/8.44 (( 53.68/8.44 (!!) @ ( 53.68/8.44 ^[Y5 : a]: 53.68/8.44 (( 53.68/8.44 (( 53.68/8.44 ('#sk1' @ 53.68/8.44 Y4 @ 53.68/8.44 Y5) & 53.68/8.44 (Y3 @ Y4))) => 53.68/8.44 (Y3 @ Y5))))))))))) => 53.68/8.44 (Y3 @ Y2)))))) | 53.68/8.44 (((!!) @ (^[Y3 : a > $o]: 53.68/8.44 (((((( 53.68/8.44 (!!) @ ( 53.68/8.44 ^[Y4 : a]: 53.68/8.44 (( 53.68/8.44 ('#sk2' @ 53.68/8.44 Y1 @ 53.68/8.44 Y4) => 53.68/8.44 (Y3 @ Y4)))))) & 53.68/8.44 (( 53.68/8.44 (!!) @ ( 53.68/8.44 ^[Y4 : a]: 53.68/8.44 (( 53.68/8.44 (!!) @ ( 53.68/8.44 ^[Y5 : a]: 53.68/8.44 (( 53.68/8.44 (( 53.68/8.44 ('#sk2' @ 53.68/8.44 Y4 @ 53.68/8.44 Y5) & 53.68/8.44 (Y3 @ Y4))) => 53.68/8.44 (Y3 @ Y5))))))))))) => 53.68/8.44 (Y3 @ Y2)))))))) => 53.68/8.44 (((!!) @ (^[Y3 : a > $o]: 53.68/8.44 (((((((!!) @ ( 53.68/8.44 ^[Y4 : a]: 53.68/8.44 (( 53.68/8.44 (!!) @ ( 53.68/8.44 ^[Y5 : a]: 53.68/8.44 (( 53.68/8.44 (( 53.68/8.44 (Y3 @ 53.68/8.44 Y4) & 53.68/8.44 (( 53.68/8.44 ('#sk1' @ 53.68/8.44 Y4 @ 53.68/8.44 Y5) | 53.68/8.44 ('#sk2' @ 53.68/8.44 Y4 @ Y5))))) => 53.68/8.44 (Y3 @ Y5))))))))) & 53.68/8.44 (((!!) @ ( 53.68/8.44 ^[Y4 : a]: 53.68/8.44 (( 53.68/8.44 (( 53.68/8.44 ('#sk2' @ 53.68/8.44 Y1 @ 53.68/8.44 Y4) | 53.68/8.44 ('#sk1' @ 53.68/8.44 Y1 @ Y4))) => 53.68/8.44 (Y3 @ Y4)))))))) => 53.68/8.44 (Y3 @ Y2)))))))))))))))) | 53.68/8.44 (((!!) @ (^[Y1 : a > $o]: 53.68/8.44 (((((((!!) @ (^[Y2 : a]: 53.68/8.44 (((!!) @ (^[Y3 : a]: 53.68/8.44 ((((((('#sk2' @ 53.68/8.44 Y2 @ Y3) | 53.68/8.44 ('#sk1' @ 53.68/8.44 Y2 @ Y3))) & 53.68/8.44 (Y1 @ Y2))) => 53.68/8.44 (Y1 @ Y3))))))))) & 53.68/8.44 (((!!) @ (^[Y2 : a]: 53.68/8.44 ((((('#sk1' @ '#sk3' @ Y2) | 53.68/8.44 ('#sk2' @ '#sk3' @ Y2))) => 53.68/8.44 (Y1 @ Y2)))))))) => 53.68/8.44 (Y1 @ Y0)))))))))))), 53.68/8.44 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl2])). 53.68/8.44 thf(zip_derived_cl4, plain, 53.68/8.44 (~ (((((((~) @ (((!!) @ (^[Y0 : a > $o]: 53.68/8.44 (((((((!!) @ (^[Y1 : a]: 53.68/8.44 (((!!) @ (^[Y2 : a]: 53.68/8.44 (((((Y0 @ Y1) & 53.68/8.44 ((('#sk1' @ 53.68/8.44 Y1 @ Y2) | 53.68/8.44 ('#sk2' @ 53.68/8.44 Y1 @ Y2))))) => 53.68/8.44 (Y0 @ Y2))))))))) & 53.68/8.44 (((!!) @ (^[Y1 : a]: 53.68/8.44 ((((('#sk2' @ '#sk3' @ Y1) | 53.68/8.44 ('#sk1' @ '#sk3' @ Y1))) => 53.68/8.44 (Y0 @ Y1)))))))) => 53.68/8.44 (Y0 @ '#sk4')))))))) & 53.68/8.44 (((!!) @ (^[Y0 : a]: 53.68/8.44 (((!!) @ (^[Y1 : a]: 53.68/8.44 (((!!) @ (^[Y2 : a]: 53.68/8.44 (((((((!!) @ (^[Y3 : a > $o]: 53.68/8.44 (((((( 53.68/8.44 (!!) @ ( 53.68/8.44 ^[Y4 : a]: 53.68/8.44 (( 53.68/8.44 (( 53.68/8.44 ('#sk1' @ 53.68/8.44 Y1 @ 53.68/8.44 Y4) | 53.68/8.44 ('#sk2' @ 53.68/8.44 Y1 @ Y4))) => 53.68/8.44 (Y3 @ Y4)))))) & 53.68/8.44 (( 53.68/8.44 (!!) @ ( 53.68/8.44 ^[Y4 : a]: 53.68/8.44 (( 53.68/8.44 (!!) @ ( 53.68/8.44 ^[Y5 : a]: 53.68/8.44 (( 53.68/8.44 (( 53.68/8.44 (Y3 @ 53.68/8.44 Y4) & 53.68/8.44 (( 53.68/8.44 ('#sk1' @ 53.68/8.44 Y4 @ 53.68/8.44 Y5) | 53.68/8.44 ('#sk2' @ 53.68/8.44 Y4 @ Y5))))) => 53.68/8.44 (Y3 @ Y5))))))))))) => 53.68/8.44 (Y3 @ Y2)))))) & 53.68/8.44 (((!!) @ (^[Y3 : a > $o]: 53.68/8.44 (((((( 53.68/8.44 (!!) @ ( 53.68/8.44 ^[Y4 : a]: 53.68/8.44 (( 53.68/8.44 (( 53.68/8.44 ('#sk2' @ 53.68/8.44 Y0 @ 53.68/8.44 Y4) | 53.68/8.44 ('#sk1' @ 53.68/8.44 Y0 @ Y4))) => 53.68/8.44 (Y3 @ Y4)))))) & 53.68/8.44 (( 53.68/8.44 (!!) @ ( 53.68/8.44 ^[Y4 : a]: 53.68/8.44 (( 53.68/8.44 (!!) @ ( 53.68/8.44 ^[Y5 : a]: 53.68/8.44 (( 53.68/8.44 (( 53.68/8.44 (( 53.68/8.44 ('#sk1' @ 53.68/8.44 Y4 @ 53.68/8.44 Y5) | 53.68/8.44 ('#sk2' @ 53.68/8.44 Y4 @ Y5))) & 53.68/8.44 (Y3 @ Y4))) => 53.68/8.44 (Y3 @ Y5))))))))))) => 53.68/8.44 (Y3 @ Y1)))))))) => 53.68/8.44 (((!!) @ (^[Y3 : a > $o]: 53.68/8.44 (((((((!!) @ ( 53.68/8.44 ^[Y4 : a]: 53.68/8.44 (( 53.68/8.44 (( 53.68/8.44 ('#sk2' @ 53.68/8.44 Y0 @ 53.68/8.44 Y4) | 53.68/8.44 ('#sk1' @ 53.68/8.44 Y0 @ Y4))) => 53.68/8.44 (Y3 @ Y4)))))) & 53.68/8.44 (((!!) @ ( 53.68/8.44 ^[Y4 : a]: 53.68/8.44 (( 53.68/8.44 (!!) @ ( 53.68/8.44 ^[Y5 : a]: 53.68/8.44 (( 53.68/8.44 (( 53.68/8.44 (( 53.68/8.44 ('#sk1' @ 53.68/8.44 Y4 @ 53.68/8.44 Y5) | 53.68/8.44 ('#sk2' @ 53.68/8.44 Y4 @ Y5))) & 53.68/8.44 (Y3 @ Y4))) => 53.68/8.44 (Y3 @ Y5))))))))))) => 53.68/8.44 (Y3 @ Y2))))))))))))))))) & 53.68/8.44 (((!!) @ (^[Y0 : a]: 53.68/8.44 (((!!) @ (^[Y1 : a]: 53.68/8.44 (((((((!!) @ (^[Y2 : a > $o]: 53.68/8.44 (((((((!!) @ (^[Y3 : a]: 53.68/8.44 (( 53.68/8.44 ('#sk1' @ 53.68/8.44 Y0 @ 53.68/8.44 Y3) => 53.68/8.44 (Y2 @ Y3)))))) & 53.68/8.44 (((!!) @ (^[Y3 : a]: 53.68/8.44 (( 53.68/8.44 (!!) @ ( 53.68/8.44 ^[Y4 : a]: 53.68/8.44 (( 53.68/8.44 (( 53.68/8.44 ('#sk1' @ 53.68/8.44 Y3 @ 53.68/8.44 Y4) & 53.68/8.44 (Y2 @ Y3))) => 53.68/8.44 (Y2 @ Y4))))))))))) => 53.68/8.44 (Y2 @ Y1)))))) | 53.68/8.44 (((!!) @ (^[Y2 : a > $o]: 53.68/8.44 (((((((!!) @ (^[Y3 : a]: 53.68/8.44 (( 53.68/8.44 ('#sk2' @ 53.68/8.44 Y0 @ 53.68/8.44 Y3) => 53.68/8.44 (Y2 @ Y3)))))) & 53.68/8.44 (((!!) @ (^[Y3 : a]: 53.68/8.44 (( 53.68/8.44 (!!) @ ( 53.68/8.44 ^[Y4 : a]: 53.68/8.44 (( 53.68/8.44 (( 53.68/8.44 ('#sk2' @ 53.68/8.44 Y3 @ 53.68/8.44 Y4) & 53.68/8.44 (Y2 @ Y3))) => 53.68/8.44 (Y2 @ Y4))))))))))) => 53.68/8.44 (Y2 @ Y1)))))))) => 53.68/8.44 (((!!) @ (^[Y2 : a > $o]: 53.68/8.44 (((((((!!) @ (^[Y3 : a]: 53.68/8.44 (((!!) @ ( 53.68/8.44 ^[Y4 : a]: 53.68/8.44 (( 53.68/8.44 (( 53.68/8.44 (Y2 @ 53.68/8.44 Y3) & 53.68/8.44 (( 53.68/8.44 ('#sk1' @ 53.68/8.44 Y3 @ 53.68/8.44 Y4) | 53.68/8.44 ('#sk2' @ 53.68/8.44 Y3 @ Y4))))) => 53.68/8.44 (Y2 @ Y4))))))))) & 53.68/8.44 (((!!) @ (^[Y3 : a]: 53.68/8.44 (((( 53.68/8.44 ('#sk2' @ 53.68/8.44 Y0 @ Y3) | 53.68/8.44 ('#sk1' @ 53.68/8.44 Y0 @ Y3))) => 53.68/8.44 (Y2 @ Y3)))))))) => 53.68/8.44 (Y2 @ Y1)))))))))))))))) | 53.68/8.44 (((!!) @ (^[Y0 : a > $o]: 53.68/8.44 (((((((!!) @ (^[Y1 : a]: 53.68/8.44 (((!!) @ (^[Y2 : a]: 53.68/8.44 ((((((('#sk2' @ Y1 @ Y2) | 53.68/8.44 ('#sk1' @ Y1 @ Y2))) & 53.68/8.44 (Y0 @ Y1))) => 53.68/8.44 (Y0 @ Y2))))))))) & 53.68/8.44 (((!!) @ (^[Y1 : a]: 53.68/8.44 ((((('#sk1' @ '#sk3' @ Y1) | ('#sk2' @ 53.68/8.44 '#sk3' @ Y1))) => 53.68/8.44 (Y0 @ Y1)))))))) => 53.68/8.44 (Y0 @ '#sk4'))))))))), 53.68/8.44 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl3])). 53.68/8.44 thf(zip_derived_cl6, plain, 53.68/8.44 (~ (((!!) @ (^[Y0 : a > $o]: 53.68/8.44 (((((((!!) @ (^[Y1 : a]: 53.68/8.44 (((!!) @ (^[Y2 : a]: 53.68/8.44 ((((((('#sk2' @ Y1 @ Y2) | 53.68/8.44 ('#sk1' @ Y1 @ Y2))) & 53.68/8.44 (Y0 @ Y1))) => 53.68/8.44 (Y0 @ Y2))))))))) & 53.68/8.44 (((!!) @ (^[Y1 : a]: 53.68/8.44 ((((('#sk1' @ '#sk3' @ Y1) | ('#sk2' @ 53.68/8.44 '#sk3' @ Y1))) => 53.68/8.44 (Y0 @ Y1)))))))) => 53.68/8.44 (Y0 @ '#sk4'))))))), 53.68/8.44 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl4])). 53.68/8.44 thf(zip_derived_cl8, plain, 53.68/8.44 (~ (((((((!!) @ (^[Y0 : a]: 53.68/8.44 (((!!) @ (^[Y1 : a]: 53.68/8.44 ((((((('#sk2' @ Y0 @ Y1) | ('#sk1' @ Y0 @ 53.68/8.44 Y1))) & 53.68/8.44 ('#sk5' @ Y0))) => 53.68/8.44 ('#sk5' @ Y1))))))))) & 53.68/8.44 (((!!) @ (^[Y0 : a]: 53.68/8.44 ((((('#sk1' @ '#sk3' @ Y0) | ('#sk2' @ '#sk3' @ Y0))) => 53.68/8.44 ('#sk5' @ Y0)))))))) => 53.68/8.44 ('#sk5' @ '#sk4')))), 53.68/8.44 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl6])). 53.68/8.44 thf(zip_derived_cl11, plain, 53.68/8.44 ( (((((!!) @ (^[Y0 : a]: 53.68/8.44 (((!!) @ (^[Y1 : a]: 53.68/8.44 ((((((('#sk2' @ Y0 @ Y1) | ('#sk1' @ Y0 @ Y1))) & 53.68/8.44 ('#sk5' @ Y0))) => 53.68/8.44 ('#sk5' @ Y1))))))))) & 53.68/8.44 (((!!) @ (^[Y0 : a]: 53.68/8.44 ((((('#sk1' @ '#sk3' @ Y0) | ('#sk2' @ '#sk3' @ Y0))) => 53.68/8.44 ('#sk5' @ Y0))))))))), 53.68/8.44 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl8])). 53.68/8.44 thf(zip_derived_cl14, plain, 53.68/8.44 ( (((!!) @ (^[Y0 : a]: 53.68/8.44 (((!!) @ (^[Y1 : a]: 53.68/8.44 ((((((('#sk2' @ Y0 @ Y1) | ('#sk1' @ Y0 @ Y1))) & 53.68/8.44 ('#sk5' @ Y0))) => 53.68/8.44 ('#sk5' @ Y1)))))))))), 53.68/8.44 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl11])). 53.68/8.44 thf(zip_derived_cl17, plain, 53.68/8.44 (![X2 : a]: 53.68/8.44 (((!!) @ (^[Y0 : a]: 53.68/8.44 ((((((('#sk2' @ X2 @ Y0) | ('#sk1' @ X2 @ Y0))) & 53.68/8.44 ('#sk5' @ X2))) => 53.68/8.44 ('#sk5' @ Y0))))))), 53.68/8.44 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl14])). 53.68/8.44 thf(zip_derived_cl20, plain, 53.68/8.44 (![X2 : a, X4 : a]: 53.68/8.44 ((((((('#sk2' @ X2 @ X4) | ('#sk1' @ X2 @ X4))) & ('#sk5' @ X2))) => 53.68/8.44 ('#sk5' @ X4)))), 53.68/8.44 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl17])). 53.68/8.44 thf(zip_derived_cl23, plain, 53.68/8.44 (![X2 : a, X4 : a]: 53.68/8.44 (~ ((((('#sk2' @ X2 @ X4) | ('#sk1' @ X2 @ X4))) & ('#sk5' @ X2))) 53.68/8.44 | ('#sk5' @ X4))), 53.68/8.44 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl20])). 53.68/8.44 thf(zip_derived_cl28, plain, 53.68/8.44 (![X2 : a, X4 : a]: 53.68/8.44 (~ ((('#sk2' @ X2 @ X4) | ('#sk1' @ X2 @ X4))) 53.68/8.44 | ~ ('#sk5' @ X2) 53.68/8.44 | ('#sk5' @ X4))), 53.68/8.44 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl23])). 53.68/8.44 thf(zip_derived_cl34, plain, 53.68/8.44 (![X2 : a, X4 : a]: 53.68/8.44 (~ ('#sk1' @ X2 @ X4) | ('#sk5' @ X4) | ~ ('#sk5' @ X2))), 53.68/8.44 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl28])). 53.68/8.44 thf(zip_derived_cl33, plain, 53.68/8.44 (![X2 : a, X4 : a]: 53.68/8.44 (~ ('#sk2' @ X2 @ X4) | ('#sk5' @ X4) | ~ ('#sk5' @ X2))), 53.68/8.44 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl28])). 53.68/8.44 thf(zip_derived_cl5, plain, 53.68/8.44 (~ (((((~) @ (((!!) @ (^[Y0 : a > $o]: 53.68/8.44 (((((((!!) @ (^[Y1 : a]: 53.68/8.44 (((!!) @ (^[Y2 : a]: 53.68/8.44 (((((Y0 @ Y1) & 53.68/8.44 ((('#sk1' @ 53.68/8.44 Y1 @ Y2) | 53.68/8.44 ('#sk2' @ 53.68/8.44 Y1 @ Y2))))) => 53.68/8.44 (Y0 @ Y2))))))))) & 53.68/8.44 (((!!) @ (^[Y1 : a]: 53.68/8.44 ((((('#sk2' @ '#sk3' @ Y1) | 53.68/8.44 ('#sk1' @ '#sk3' @ Y1))) => 53.68/8.44 (Y0 @ Y1)))))))) => 53.68/8.44 (Y0 @ '#sk4')))))))) & 53.68/8.44 (((!!) @ (^[Y0 : a]: 53.68/8.44 (((!!) @ (^[Y1 : a]: 53.68/8.44 (((!!) @ (^[Y2 : a]: 53.68/8.44 (((((((!!) @ (^[Y3 : a > $o]: 53.68/8.44 (((((((!!) @ ( 53.68/8.44 ^[Y4 : a]: 53.68/8.44 (( 53.68/8.44 (( 53.68/8.44 ('#sk1' @ 53.68/8.44 Y1 @ 53.68/8.44 Y4) | 53.68/8.44 ('#sk2' @ 53.68/8.44 Y1 @ Y4))) => 53.68/8.44 (Y3 @ Y4)))))) & 53.68/8.44 (((!!) @ ( 53.68/8.44 ^[Y4 : a]: 53.68/8.44 (( 53.68/8.44 (!!) @ ( 53.68/8.44 ^[Y5 : a]: 53.68/8.44 (( 53.68/8.44 (( 53.68/8.44 (Y3 @ 53.68/8.44 Y4) & 53.68/8.44 (( 53.68/8.44 ('#sk1' @ 53.68/8.44 Y4 @ 53.68/8.44 Y5) | 53.68/8.44 ('#sk2' @ 53.68/8.44 Y4 @ Y5))))) => 53.68/8.44 (Y3 @ Y5))))))))))) => 53.68/8.44 (Y3 @ Y2)))))) & 53.68/8.44 (((!!) @ (^[Y3 : a > $o]: 53.68/8.44 (((((((!!) @ ( 53.68/8.44 ^[Y4 : a]: 53.68/8.44 (( 53.68/8.44 (( 53.68/8.44 ('#sk2' @ 53.68/8.44 Y0 @ 53.68/8.44 Y4) | 53.68/8.44 ('#sk1' @ 53.68/8.44 Y0 @ Y4))) => 53.68/8.44 (Y3 @ Y4)))))) & 53.68/8.44 (((!!) @ ( 53.68/8.44 ^[Y4 : a]: 53.68/8.44 (( 53.68/8.44 (!!) @ ( 53.68/8.44 ^[Y5 : a]: 53.68/8.44 (( 53.68/8.44 (( 53.68/8.44 (( 53.68/8.44 ('#sk1' @ 53.68/8.44 Y4 @ 53.68/8.44 Y5) | 53.68/8.44 ('#sk2' @ 53.68/8.44 Y4 @ 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53.68/8.45 (( 53.68/8.45 (( 53.68/8.45 ('#sk2' @ 53.68/8.45 Y0 @ 53.68/8.45 Y4) | 53.68/8.45 ('#sk1' @ 53.68/8.45 Y0 @ Y4))) => 53.68/8.45 (Y3 @ Y4)))))) & 53.68/8.45 (((!!) @ ( 53.68/8.45 ^[Y4 : a]: 53.68/8.45 (( 53.68/8.45 (!!) @ ( 53.68/8.45 ^[Y5 : a]: 53.68/8.45 (( 53.68/8.45 (( 53.68/8.45 (( 53.68/8.45 ('#sk1' @ 53.68/8.45 Y4 @ 53.68/8.45 Y5) | 53.68/8.45 ('#sk2' @ 53.68/8.45 Y4 @ Y5))) & 53.68/8.45 (Y3 @ Y4))) => 53.68/8.45 (Y3 @ Y5))))))))))) => 53.68/8.45 (Y3 @ Y1)))))))) => 53.68/8.45 (((!!) @ (^[Y3 : a > $o]: 53.68/8.45 (((((((!!) @ ( 53.68/8.45 ^[Y4 : a]: 53.68/8.45 ( 53.68/8.45 ( 53.68/8.45 (( 53.68/8.45 ('#sk2' @ 53.68/8.45 Y0 @ 53.68/8.45 Y4) | 53.68/8.45 ('#sk1' @ 53.68/8.45 Y0 @ Y4))) => 53.68/8.45 (Y3 @ Y4)))))) & 53.68/8.45 (((!!) @ ( 53.68/8.45 ^[Y4 : a]: 53.68/8.45 ( 53.68/8.45 ( 53.68/8.45 (!!) @ ( 53.68/8.45 ^[Y5 : a]: 53.68/8.45 (( 53.68/8.45 (( 53.68/8.45 (( 53.68/8.45 ('#sk1' @ 53.68/8.45 Y4 @ 53.68/8.45 Y5) | 53.68/8.45 ('#sk2' @ 53.68/8.45 Y4 @ Y5))) & 53.68/8.45 (Y3 @ Y4))) => 53.68/8.45 (Y3 @ Y5))))))))))) => 53.68/8.45 (Y3 @ Y2))))))))))))))))))), 53.68/8.45 inference('simplify nested equalities', [status(thm)], 53.68/8.45 [zip_derived_cl204])). 53.68/8.45 thf(zip_derived_cl9, plain, 53.68/8.45 (![X2 : a > $o]: 53.68/8.45 ( (((((((!!) @ (^[Y0 : a]: 53.68/8.45 (((!!) @ (^[Y1 : a]: 53.68/8.45 (((((X2 @ Y0) & 53.68/8.45 ((('#sk1' @ Y0 @ Y1) | ('#sk2' @ 53.68/8.45 Y0 @ Y1))))) => 53.68/8.45 (X2 @ Y1))))))))) & 53.68/8.45 (((!!) @ (^[Y0 : a]: 53.68/8.45 ((((('#sk2' @ '#sk3' @ Y0) | ('#sk1' @ '#sk3' @ Y0))) => 53.68/8.45 (X2 @ Y0)))))))) => 53.68/8.45 (X2 @ '#sk4'))) 53.68/8.45 | ~ (((!!) @ (^[Y0 : a]: 53.68/8.45 (((!!) @ (^[Y1 : a]: 53.68/8.45 (((((((!!) @ (^[Y2 : a > $o]: 53.68/8.45 (((((((!!) @ (^[Y3 : a]: 53.68/8.45 ( 53.68/8.45 ( 53.68/8.45 ('#sk1' @ 53.68/8.45 Y0 @ 53.68/8.45 Y3) => 53.68/8.45 (Y2 @ Y3)))))) & 53.68/8.45 (((!!) @ (^[Y3 : a]: 53.68/8.45 ( 53.68/8.45 ( 53.68/8.45 (!!) @ ( 53.68/8.45 ^[Y4 : a]: 53.68/8.45 (( 53.68/8.45 (( 53.68/8.45 ('#sk1' @ 53.68/8.45 Y3 @ 53.68/8.45 Y4) & 53.68/8.45 (Y2 @ Y3))) => 53.68/8.45 (Y2 @ Y4))))))))))) => 53.68/8.45 (Y2 @ Y1)))))) | 53.68/8.45 (((!!) @ (^[Y2 : a > $o]: 53.68/8.45 (((((((!!) @ (^[Y3 : a]: 53.68/8.45 ( 53.68/8.45 ( 53.68/8.45 ('#sk2' @ 53.68/8.45 Y0 @ 53.68/8.45 Y3) => 53.68/8.45 (Y2 @ Y3)))))) & 53.68/8.45 (((!!) @ (^[Y3 : a]: 53.68/8.45 ( 53.68/8.45 ( 53.68/8.45 (!!) @ ( 53.68/8.45 ^[Y4 : a]: 53.68/8.45 (( 53.68/8.45 (( 53.68/8.45 ('#sk2' @ 53.68/8.45 Y3 @ 53.68/8.45 Y4) & 53.68/8.45 (Y2 @ Y3))) => 53.68/8.45 (Y2 @ Y4))))))))))) => 53.68/8.45 (Y2 @ Y1)))))))) => 53.68/8.45 (((!!) @ (^[Y2 : a > $o]: 53.68/8.45 (((((((!!) @ (^[Y3 : a]: 53.68/8.45 (((!!) @ ( 53.68/8.45 ^[Y4 : a]: 53.68/8.45 (( 53.68/8.45 (( 53.68/8.45 (Y2 @ 53.68/8.45 Y3) & 53.68/8.45 (( 53.68/8.45 ('#sk1' @ 53.68/8.45 Y3 @ 53.68/8.45 Y4) | 53.68/8.45 ('#sk2' @ 53.68/8.45 Y3 @ Y4))))) => 53.68/8.45 (Y2 @ Y4))))))))) & 53.68/8.45 (((!!) @ (^[Y3 : a]: 53.68/8.45 (((( 53.68/8.45 ('#sk2' @ 53.68/8.45 Y0 @ 53.68/8.45 Y3) | 53.68/8.45 ('#sk1' @ 53.68/8.45 Y0 @ Y3))) => 53.68/8.45 (Y2 @ Y3)))))))) => 53.68/8.45 (Y2 @ Y1)))))))))))))) 53.68/8.45 | ~ (((!!) @ (^[Y0 : a]: 53.68/8.45 (((!!) @ (^[Y1 : a]: 53.68/8.45 (((!!) @ (^[Y2 : a]: 53.68/8.45 (((((((!!) @ (^[Y3 : a > $o]: 53.68/8.45 (((((( 53.68/8.45 (!!) @ ( 53.68/8.45 ^[Y4 : a]: 53.68/8.45 (( 53.68/8.45 (( 53.68/8.45 ('#sk1' @ 53.68/8.45 Y1 @ 53.68/8.45 Y4) | 53.68/8.45 ('#sk2' @ 53.68/8.45 Y1 @ Y4))) => 53.68/8.45 (Y3 @ Y4)))))) & 53.68/8.45 (( 53.68/8.45 (!!) @ ( 53.68/8.45 ^[Y4 : a]: 53.68/8.45 (( 53.68/8.45 (!!) @ ( 53.68/8.45 ^[Y5 : a]: 53.68/8.45 (( 53.68/8.45 (( 53.68/8.45 (Y3 @ 53.68/8.45 Y4) & 53.68/8.45 (( 53.68/8.45 ('#sk1' @ 53.68/8.45 Y4 @ 53.68/8.45 Y5) | 53.68/8.45 ('#sk2' @ 53.68/8.45 Y4 @ Y5))))) => 53.68/8.45 (Y3 @ Y5))))))))))) => 53.68/8.45 (Y3 @ Y2)))))) & 53.68/8.45 (((!!) @ (^[Y3 : a > $o]: 53.68/8.45 (((((( 53.68/8.45 (!!) @ ( 53.68/8.45 ^[Y4 : a]: 53.68/8.45 (( 53.68/8.45 (( 53.68/8.45 ('#sk2' @ 53.68/8.45 Y0 @ 53.68/8.45 Y4) | 53.68/8.45 ('#sk1' @ 53.68/8.45 Y0 @ Y4))) => 53.68/8.45 (Y3 @ Y4)))))) & 53.68/8.45 (( 53.68/8.45 (!!) @ ( 53.68/8.45 ^[Y4 : a]: 53.68/8.45 (( 53.68/8.45 (!!) @ ( 53.68/8.45 ^[Y5 : a]: 53.68/8.45 (( 53.68/8.45 (( 53.68/8.45 (( 53.68/8.45 ('#sk1' @ 53.68/8.45 Y4 @ 53.68/8.45 Y5) | 53.68/8.45 ('#sk2' @ 53.68/8.45 Y4 @ Y5))) & 53.68/8.45 (Y3 @ Y4))) => 53.68/8.45 (Y3 @ Y5))))))))))) => 53.68/8.45 (Y3 @ Y1)))))))) => 53.68/8.45 (((!!) @ (^[Y3 : a > $o]: 53.68/8.45 (((((((!!) @ ( 53.68/8.45 ^[Y4 : a]: 53.68/8.45 (( 53.68/8.45 (( 53.68/8.45 ('#sk2' @ 53.68/8.45 Y0 @ 53.68/8.45 Y4) | 53.68/8.45 ('#sk1' @ 53.68/8.45 Y0 @ Y4))) => 53.68/8.45 (Y3 @ Y4)))))) & 53.68/8.45 (((!!) @ ( 53.68/8.45 ^[Y4 : a]: 53.68/8.45 (( 53.68/8.45 (!!) @ ( 53.68/8.45 ^[Y5 : a]: 53.68/8.45 (( 53.68/8.45 (( 53.68/8.45 (( 53.68/8.45 ('#sk1' @ 53.68/8.45 Y4 @ 53.68/8.45 Y5) | 53.68/8.45 ('#sk2' @ 53.68/8.45 Y4 @ Y5))) & 53.68/8.45 (Y3 @ Y4))) => 53.68/8.45 (Y3 @ Y5))))))))))) => 53.68/8.45 (Y3 @ Y2))))))))))))))))))), 53.68/8.45 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl7])). 53.68/8.45 thf(zip_derived_cl13, plain, 53.68/8.45 (![X2 : a > $o]: 53.68/8.45 (~ (((((!!) @ (^[Y0 : a]: 53.68/8.45 (((!!) @ (^[Y1 : a]: 53.68/8.45 (((((X2 @ Y0) & 53.68/8.45 ((('#sk1' @ Y0 @ Y1) | ('#sk2' @ 53.68/8.45 Y0 @ Y1))))) => 53.68/8.45 (X2 @ Y1))))))))) & 53.68/8.45 (((!!) @ (^[Y0 : a]: 53.68/8.45 ((((('#sk2' @ '#sk3' @ Y0) | ('#sk1' @ '#sk3' @ Y0))) => 53.68/8.45 (X2 @ Y0)))))))) 53.68/8.45 | (X2 @ '#sk4') 53.68/8.45 | ~ (((!!) @ (^[Y0 : a]: 53.68/8.45 (((!!) @ (^[Y1 : a]: 53.68/8.45 (((!!) @ (^[Y2 : a]: 53.68/8.45 (((((((!!) @ (^[Y3 : a > $o]: 53.68/8.45 (((((( 53.68/8.45 (!!) @ ( 53.68/8.45 ^[Y4 : a]: 53.68/8.45 (( 53.68/8.45 (( 53.68/8.45 ('#sk1' @ 53.68/8.45 Y1 @ 53.68/8.45 Y4) | 53.68/8.45 ('#sk2' @ 53.68/8.45 Y1 @ Y4))) => 53.68/8.45 (Y3 @ Y4)))))) & 53.68/8.45 (( 53.68/8.45 (!!) @ ( 53.68/8.45 ^[Y4 : a]: 53.68/8.45 (( 53.68/8.45 (!!) @ ( 53.68/8.45 ^[Y5 : a]: 53.68/8.45 (( 53.68/8.45 (( 53.68/8.45 (Y3 @ 53.68/8.45 Y4) & 53.68/8.45 (( 53.68/8.45 ('#sk1' @ 53.68/8.45 Y4 @ 53.68/8.45 Y5) | 53.68/8.45 ('#sk2' @ 53.68/8.45 Y4 @ Y5))))) => 53.68/8.45 (Y3 @ Y5))))))))))) => 53.68/8.45 (Y3 @ Y2)))))) & 53.68/8.45 (((!!) @ (^[Y3 : a > $o]: 53.68/8.45 (((((( 53.68/8.45 (!!) @ ( 53.68/8.45 ^[Y4 : a]: 53.68/8.45 (( 53.68/8.45 (( 53.68/8.45 ('#sk2' @ 53.68/8.45 Y0 @ 53.68/8.45 Y4) | 53.68/8.45 ('#sk1' @ 53.68/8.45 Y0 @ Y4))) => 53.68/8.45 (Y3 @ Y4)))))) & 53.68/8.45 (( 53.68/8.45 (!!) @ ( 53.68/8.45 ^[Y4 : a]: 53.68/8.45 (( 53.68/8.45 (!!) @ ( 53.68/8.45 ^[Y5 : a]: 53.68/8.45 (( 53.68/8.45 (( 53.68/8.45 (( 53.68/8.45 ('#sk1' @ 53.68/8.45 Y4 @ 53.68/8.45 Y5) | 53.68/8.45 ('#sk2' @ 53.68/8.45 Y4 @ Y5))) & 53.68/8.45 (Y3 @ Y4))) => 53.68/8.45 (Y3 @ Y5))))))))))) => 53.68/8.45 (Y3 @ Y1)))))))) => 53.68/8.45 (((!!) @ (^[Y3 : a > $o]: 53.68/8.45 (((((((!!) @ ( 53.68/8.45 ^[Y4 : a]: 53.68/8.45 (( 53.68/8.45 (( 53.68/8.45 ('#sk2' @ 53.68/8.45 Y0 @ 53.68/8.45 Y4) | 53.68/8.45 ('#sk1' @ 53.68/8.45 Y0 @ Y4))) => 53.68/8.45 (Y3 @ Y4)))))) & 53.68/8.45 (((!!) @ ( 53.68/8.45 ^[Y4 : a]: 53.68/8.45 (( 53.68/8.45 (!!) @ ( 53.68/8.45 ^[Y5 : a]: 53.68/8.45 (( 53.68/8.45 (( 53.68/8.45 (( 53.68/8.45 ('#sk1' @ 53.68/8.45 Y4 @ 53.68/8.45 Y5) | 53.68/8.45 ('#sk2' @ 53.68/8.45 Y4 @ Y5))) & 53.68/8.45 (Y3 @ Y4))) => 53.68/8.45 (Y3 @ Y5))))))))))) => 53.68/8.45 (Y3 @ Y2))))))))))))))))) 53.68/8.45 | ~ (((!!) @ (^[Y0 : a]: 53.68/8.45 (((!!) @ (^[Y1 : a]: 53.68/8.45 (((((((!!) @ (^[Y2 : a > $o]: 53.68/8.45 (((((((!!) @ (^[Y3 : a]: 53.68/8.45 ( 53.68/8.45 ( 53.68/8.45 ('#sk1' @ 53.68/8.45 Y0 @ 53.68/8.45 Y3) => 53.68/8.45 (Y2 @ Y3)))))) & 53.68/8.45 (((!!) @ (^[Y3 : a]: 53.68/8.45 ( 53.68/8.45 ( 53.68/8.45 (!!) @ ( 53.68/8.45 ^[Y4 : a]: 53.68/8.45 (( 53.68/8.45 (( 53.68/8.45 ('#sk1' @ 53.68/8.45 Y3 @ 53.68/8.45 Y4) & 53.68/8.45 (Y2 @ Y3))) => 53.68/8.45 (Y2 @ Y4))))))))))) => 53.68/8.45 (Y2 @ Y1)))))) | 53.68/8.45 (((!!) @ (^[Y2 : a > $o]: 53.68/8.45 (((((((!!) @ (^[Y3 : a]: 53.68/8.45 ( 53.68/8.45 ( 53.68/8.45 ('#sk2' @ 53.68/8.45 Y0 @ 53.68/8.45 Y3) => 53.68/8.45 (Y2 @ Y3)))))) & 53.68/8.45 (((!!) @ (^[Y3 : a]: 53.68/8.45 ( 53.68/8.45 ( 53.68/8.45 (!!) @ ( 53.68/8.45 ^[Y4 : a]: 53.68/8.45 (( 53.68/8.45 (( 53.68/8.45 ('#sk2' @ 53.68/8.45 Y3 @ 53.68/8.45 Y4) & 53.68/8.45 (Y2 @ Y3))) => 53.68/8.45 (Y2 @ Y4))))))))))) => 53.68/8.45 (Y2 @ Y1)))))))) => 53.68/8.45 (((!!) @ (^[Y2 : a > $o]: 53.68/8.45 (((((((!!) @ (^[Y3 : a]: 53.68/8.45 (((!!) @ ( 53.68/8.45 ^[Y4 : a]: 53.68/8.45 (( 53.68/8.45 (( 53.68/8.45 (Y2 @ 53.68/8.45 Y3) & 53.68/8.45 (( 53.68/8.45 ('#sk1' @ 53.68/8.45 Y3 @ 53.68/8.45 Y4) | 53.68/8.45 ('#sk2' @ 53.68/8.45 Y3 @ Y4))))) => 53.68/8.45 (Y2 @ Y4))))))))) & 53.68/8.45 (((!!) @ (^[Y3 : a]: 53.68/8.45 (((( 53.68/8.45 ('#sk2' @ 53.68/8.45 Y0 @ 53.68/8.45 Y3) | 53.68/8.45 ('#sk1' @ 53.68/8.45 Y0 @ Y3))) => 53.68/8.45 (Y2 @ Y3)))))))) => 53.68/8.45 (Y2 @ Y1)))))))))))))))), 53.68/8.45 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl9])). 53.68/8.45 thf(zip_derived_cl16, plain, 53.68/8.45 (![X2 : a > $o]: 53.68/8.45 (~ (((!!) @ (^[Y0 : a]: 53.68/8.45 (((!!) @ (^[Y1 : a]: 53.68/8.45 (((((X2 @ Y0) & 53.68/8.45 ((('#sk1' @ Y0 @ Y1) | ('#sk2' @ Y0 @ 53.68/8.45 Y1))))) => 53.68/8.45 (X2 @ Y1))))))))) 53.68/8.45 | ~ (((!!) @ (^[Y0 : a]: 53.68/8.45 ((((('#sk2' @ '#sk3' @ Y0) | ('#sk1' @ '#sk3' @ Y0))) => 53.68/8.45 (X2 @ Y0)))))) 53.68/8.45 | ~ (((!!) @ (^[Y0 : a]: 53.68/8.45 (((!!) @ (^[Y1 : a]: 53.68/8.45 (((((((!!) @ (^[Y2 : a > $o]: 53.68/8.45 (((((((!!) @ (^[Y3 : a]: 53.68/8.45 ( 53.68/8.45 ( 53.68/8.45 ('#sk1' @ 53.68/8.45 Y0 @ 53.68/8.45 Y3) => 53.68/8.45 (Y2 @ Y3)))))) & 53.68/8.45 (((!!) @ (^[Y3 : a]: 53.68/8.45 ( 53.68/8.45 ( 53.68/8.45 (!!) @ ( 53.68/8.45 ^[Y4 : a]: 53.68/8.45 (( 53.68/8.45 (( 53.68/8.45 ('#sk1' @ 53.68/8.45 Y3 @ 53.68/8.45 Y4) & 53.68/8.45 (Y2 @ Y3))) => 53.68/8.45 (Y2 @ Y4))))))))))) => 53.68/8.45 (Y2 @ Y1)))))) | 53.68/8.45 (((!!) @ (^[Y2 : a > $o]: 53.68/8.45 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('#sk2' @ Y1 @ Y2))))) => 53.68/8.47 (Y0 @ Y2))))))))))) => 53.68/8.47 (Y0 @ '#sk57')))))) & 53.68/8.47 (((!!) @ (^[Y0 : a > $o]: 53.68/8.47 (((((((!!) @ (^[Y1 : a]: 53.68/8.47 ((((('#sk2' @ '#sk36' @ Y1) | ('#sk1' @ 53.68/8.47 '#sk36' @ Y1))) => 53.68/8.47 (Y0 @ Y1)))))) & 53.68/8.47 (((!!) @ (^[Y1 : a]: 53.68/8.47 (((!!) @ (^[Y2 : a]: 53.68/8.47 ((((((('#sk1' @ Y1 @ Y2) | 53.68/8.47 ('#sk2' @ Y1 @ Y2))) & 53.68/8.47 (Y0 @ Y1))) => 53.68/8.47 (Y0 @ Y2))))))))))) => 53.68/8.47 (Y0 @ '#sk47')))))))) 53.68/8.47 | ('#form35'))), 53.68/8.47 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl43])). 53.68/8.47 thf(zip_derived_cl61, plain, 53.68/8.47 (( (((!!) @ (^[Y0 : a > $o]: 53.68/8.47 (((((((!!) @ (^[Y1 : a]: 53.68/8.47 ((((('#sk1' @ '#sk47' @ Y1) | ('#sk2' @ 53.68/8.47 '#sk47' @ Y1))) => 53.68/8.47 (Y0 @ Y1)))))) & 53.68/8.47 (((!!) @ (^[Y1 : a]: 53.68/8.47 (((!!) @ (^[Y2 : a]: 53.68/8.47 (((((Y0 @ Y1) & 53.68/8.47 ((('#sk1' @ Y1 @ Y2) | 53.68/8.47 ('#sk2' @ Y1 @ Y2))))) => 53.68/8.47 (Y0 @ Y2))))))))))) => 53.68/8.47 (Y0 @ '#sk57')))))) 53.68/8.47 | ('#form35'))), 53.68/8.47 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl51])). 53.68/8.47 thf(zip_derived_cl72, plain, 53.68/8.47 (![X2 : a > $o]: 53.68/8.47 ( (((((((!!) @ (^[Y0 : a]: 53.68/8.47 ((((('#sk1' @ '#sk47' @ Y0) | ('#sk2' @ '#sk47' @ 53.68/8.47 Y0))) => 53.68/8.47 (X2 @ Y0)))))) & 53.68/8.47 (((!!) @ (^[Y0 : a]: 53.68/8.47 (((!!) @ (^[Y1 : a]: 53.68/8.47 (((((X2 @ Y0) & 53.68/8.47 ((('#sk1' @ Y0 @ Y1) | ('#sk2' @ 53.68/8.47 Y0 @ Y1))))) => 53.68/8.47 (X2 @ Y1))))))))))) => 53.68/8.47 (X2 @ '#sk57'))) 53.68/8.47 | ('#form35'))), 53.68/8.47 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl61])). 53.68/8.47 thf(zip_derived_cl73, plain, 53.68/8.47 (( (((((((!!) @ (^[Y0 : a]: 53.68/8.47 ((((('#sk1' @ '#sk47' @ Y0) | ('#sk2' @ '#sk47' @ Y0))) => 53.68/8.47 ('#sk90' @ Y0)))))) & 53.68/8.47 (((!!) @ (^[Y0 : a]: 53.68/8.47 (((!!) @ (^[Y1 : a]: 53.68/8.47 ((((('#sk90' @ Y0) & 53.68/8.47 ((('#sk1' @ Y0 @ Y1) | ('#sk2' @ Y0 @ 53.68/8.47 Y1))))) => 53.68/8.47 ('#sk90' @ Y1))))))))))) => 53.68/8.47 ('#sk90' @ '#sk57'))) 53.68/8.47 | ('#form35'))), 53.68/8.47 inference('triggered_bool_instantiation', [status(thm)], 53.68/8.47 [zip_derived_cl72])). 53.68/8.47 thf(zip_derived_cl249, plain, 53.68/8.47 ((~ (((((!!) @ (^[Y0 : a]: 53.68/8.47 ((((('#sk1' @ '#sk47' @ Y0) | ('#sk2' @ '#sk47' @ Y0))) => 53.68/8.47 ('#sk90' @ Y0)))))) & 53.68/8.47 (((!!) @ (^[Y0 : a]: 53.68/8.47 (((!!) @ (^[Y1 : a]: 53.68/8.47 ((((('#sk90' @ Y0) & 53.68/8.47 ((('#sk1' @ Y0 @ Y1) | ('#sk2' @ Y0 @ 53.68/8.47 Y1))))) => 53.68/8.47 ('#sk90' @ Y1))))))))))) 53.68/8.47 | ('#sk90' @ '#sk57') 53.68/8.47 | ('#form35'))), 53.68/8.47 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl73])). 53.68/8.47 thf(zip_derived_cl52, plain, 53.68/8.47 ((~ (((!!) @ (^[Y0 : a > $o]: 53.68/8.47 (((((((!!) @ (^[Y1 : a]: 53.68/8.47 ((((('#sk2' @ '#sk36' @ Y1) | ('#sk1' @ 53.68/8.47 '#sk36' @ Y1))) => 53.68/8.47 (Y0 @ Y1)))))) & 53.68/8.47 (((!!) @ (^[Y1 : a]: 53.68/8.47 (((!!) @ (^[Y2 : a]: 53.68/8.47 ((((((('#sk1' @ Y1 @ Y2) | 53.68/8.47 ('#sk2' @ Y1 @ Y2))) & 53.68/8.47 (Y0 @ Y1))) => 53.68/8.47 (Y0 @ Y2))))))))))) => 53.68/8.47 (Y0 @ '#sk57')))))) 53.68/8.47 | ('#form35'))), 53.68/8.47 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl43])). 53.68/8.47 thf(zip_derived_cl64, plain, 53.68/8.47 ((~ (((((((!!) @ (^[Y0 : a]: 53.68/8.47 ((((('#sk2' @ '#sk36' @ Y0) | ('#sk1' @ '#sk36' @ Y0))) => 53.68/8.47 ('#sk90' @ Y0)))))) & 53.68/8.47 (((!!) @ (^[Y0 : a]: 53.68/8.47 (((!!) @ (^[Y1 : a]: 53.68/8.47 ((((((('#sk1' @ Y0 @ Y1) | ('#sk2' @ 53.68/8.47 Y0 @ Y1))) & 53.68/8.47 ('#sk90' @ Y0))) => 53.68/8.47 ('#sk90' @ Y1))))))))))) => 53.68/8.47 ('#sk90' @ '#sk57'))) 53.68/8.47 | ('#form35'))), 53.68/8.47 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl52])). 53.68/8.47 thf(zip_derived_cl81, plain, ((~ ('#sk90' @ '#sk57') | ('#form35'))), 53.68/8.47 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl64])). 53.68/8.47 thf(zip_derived_cl250, plain, 53.68/8.47 (( ('#form35') 53.68/8.47 | ~ (((((!!) @ (^[Y0 : a]: 53.68/8.47 ((((('#sk1' @ '#sk47' @ Y0) | ('#sk2' @ '#sk47' @ Y0))) => 53.68/8.47 ('#sk90' @ Y0)))))) & 53.68/8.47 (((!!) @ (^[Y0 : a]: 53.68/8.47 (((!!) @ (^[Y1 : a]: 53.68/8.47 ((((('#sk90' @ Y0) & 53.68/8.47 ((('#sk1' @ Y0 @ Y1) | ('#sk2' @ 53.68/8.47 Y0 @ Y1))))) => 53.68/8.47 ('#sk90' @ Y1))))))))))))), 53.68/8.47 inference('clc', [status(thm)], [zip_derived_cl249, zip_derived_cl81])). 53.68/8.47 thf(zip_derived_cl251, plain, 53.68/8.47 ((~ (((!!) @ (^[Y0 : a]: 53.68/8.47 ((((('#sk1' @ '#sk47' @ Y0) | ('#sk2' @ '#sk47' @ Y0))) => 53.68/8.47 ('#sk90' @ Y0)))))) 53.68/8.47 | ~ (((!!) @ (^[Y0 : a]: 53.68/8.47 (((!!) @ (^[Y1 : a]: 53.68/8.47 ((((('#sk90' @ Y0) & 53.68/8.47 ((('#sk1' @ Y0 @ Y1) | ('#sk2' @ Y0 @ 53.68/8.47 Y1))))) => 53.68/8.47 ('#sk90' @ Y1))))))))) 53.68/8.47 | ('#form35'))), 53.68/8.47 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl250])). 53.68/8.47 thf(zip_derived_cl252, plain, 53.68/8.47 ((~ ((((('#sk1' @ '#sk47' @ ('#sk135' @ '#sk90')) | ('#sk2' @ '#sk47' @ 53.68/8.47 ('#sk135' @ '#sk90')))) => 53.68/8.47 ('#sk90' @ ('#sk135' @ '#sk90')))) 53.68/8.47 | ('#form35') 53.68/8.47 | ~ (((!!) @ (^[Y0 : a]: 53.68/8.47 (((!!) @ (^[Y1 : a]: 53.68/8.47 ((((('#sk90' @ Y0) & 53.68/8.47 ((('#sk1' @ Y0 @ Y1) | ('#sk2' @ Y0 @ 53.68/8.47 Y1))))) => 53.68/8.47 ('#sk90' @ Y1))))))))))), 53.68/8.47 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl251])). 53.68/8.47 thf(zip_derived_cl254, plain, 53.68/8.47 ((~ ('#sk90' @ ('#sk135' @ '#sk90')) 53.68/8.47 | ~ (((!!) @ (^[Y0 : a]: 53.68/8.47 (((!!) @ (^[Y1 : a]: 53.68/8.47 ((((('#sk90' @ Y0) & 53.68/8.47 ((('#sk1' @ Y0 @ Y1) | ('#sk2' @ Y0 @ 53.68/8.47 Y1))))) => 53.68/8.47 ('#sk90' @ Y1))))))))) 53.68/8.47 | ('#form35'))), 53.68/8.47 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl252])). 53.68/8.47 thf(zip_derived_cl256, plain, 53.68/8.47 ((~ (((!!) @ (^[Y0 : a]: 53.68/8.47 ((((('#sk90' @ ('#sk15' @ '#sk90')) & 53.68/8.47 ((('#sk1' @ ('#sk15' @ '#sk90') @ Y0) | ('#sk2' @ 53.68/8.47 ('#sk15' @ '#sk90') @ Y0))))) => 53.68/8.47 ('#sk90' @ Y0)))))) 53.68/8.47 | ('#form35') 53.68/8.47 | ~ ('#sk90' @ ('#sk135' @ '#sk90')))), 53.68/8.47 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl254])). 53.68/8.47 thf(zip_derived_cl258, plain, 53.68/8.47 ((~ ((((('#sk90' @ ('#sk15' @ '#sk90')) & 53.68/8.47 ((('#sk1' @ ('#sk15' @ '#sk90') @ ('#sk21' @ '#sk90')) | 53.68/8.47 ('#sk2' @ ('#sk15' @ '#sk90') @ ('#sk21' @ '#sk90')))))) => 53.68/8.47 ('#sk90' @ ('#sk21' @ '#sk90')))) 53.68/8.47 | ~ ('#sk90' @ ('#sk135' @ '#sk90')) 53.68/8.47 | ('#form35'))), 53.68/8.47 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl256])). 53.68/8.47 thf(zip_derived_cl261, plain, 53.68/8.47 ((~ ('#sk90' @ ('#sk21' @ '#sk90')) 53.68/8.47 | ('#form35') 53.68/8.47 | ~ ('#sk90' @ ('#sk135' @ '#sk90')))), 53.68/8.47 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl258])). 53.68/8.47 thf(zip_derived_cl253, plain, 53.68/8.47 (( ((('#sk1' @ '#sk47' @ ('#sk135' @ '#sk90')) | ('#sk2' @ '#sk47' @ 53.68/8.47 ('#sk135' @ '#sk90')))) 53.68/8.47 | ~ (((!!) @ (^[Y0 : a]: 53.68/8.47 (((!!) @ (^[Y1 : a]: 53.68/8.47 ((((('#sk90' @ Y0) & 53.68/8.47 ((('#sk1' @ Y0 @ Y1) | ('#sk2' @ Y0 @ 53.68/8.47 Y1))))) => 53.68/8.47 ('#sk90' @ Y1))))))))) 53.68/8.47 | ('#form35'))), 53.68/8.47 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl252])). 53.68/8.47 thf(zip_derived_cl255, plain, 53.68/8.47 (( ('#sk1' @ '#sk47' @ ('#sk135' @ '#sk90')) 53.68/8.47 | ('#sk2' @ '#sk47' @ ('#sk135' @ '#sk90')) 53.68/8.47 | ('#form35') 53.68/8.47 | ~ (((!!) @ (^[Y0 : a]: 53.68/8.47 (((!!) @ (^[Y1 : a]: 53.68/8.47 ((((('#sk90' @ Y0) & 53.68/8.47 ((('#sk1' @ Y0 @ Y1) | ('#sk2' @ Y0 @ 53.68/8.47 Y1))))) => 53.68/8.47 ('#sk90' @ Y1))))))))))), 53.68/8.47 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl253])). 53.68/8.47 thf(zip_derived_cl257, plain, 53.68/8.47 ((~ (((!!) @ (^[Y0 : a]: 53.68/8.47 ((((('#sk90' @ ('#sk15' @ '#sk90')) & 53.68/8.47 ((('#sk1' @ ('#sk15' @ '#sk90') @ Y0) | ('#sk2' @ 53.68/8.47 ('#sk15' @ '#sk90') @ Y0))))) => 53.68/8.47 ('#sk90' @ Y0)))))) 53.68/8.47 | ('#form35') 53.68/8.47 | ('#sk2' @ '#sk47' @ ('#sk135' @ '#sk90')) 53.68/8.47 | ('#sk1' @ '#sk47' @ ('#sk135' @ '#sk90')))), 53.68/8.47 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl255])). 53.68/8.47 thf(zip_derived_cl259, plain, 53.68/8.47 ((~ ((((('#sk90' @ ('#sk15' @ '#sk90')) & 53.68/8.47 ((('#sk1' @ ('#sk15' @ '#sk90') @ ('#sk21' @ '#sk90')) | 53.68/8.47 ('#sk2' @ ('#sk15' @ '#sk90') @ ('#sk21' @ '#sk90')))))) => 53.68/8.47 ('#sk90' @ ('#sk21' @ '#sk90')))) 53.68/8.47 | ('#sk1' @ '#sk47' @ ('#sk135' @ '#sk90')) 53.68/8.47 | ('#sk2' @ '#sk47' @ ('#sk135' @ '#sk90')) 53.68/8.47 | ('#form35'))), 53.68/8.47 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl257])). 53.68/8.47 thf(zip_derived_cl263, plain, 53.68/8.47 ((~ ('#sk90' @ ('#sk21' @ '#sk90')) 53.68/8.47 | ('#form35') 53.68/8.47 | ('#sk2' @ '#sk47' @ ('#sk135' @ '#sk90')) 53.68/8.47 | ('#sk1' @ '#sk47' @ ('#sk135' @ '#sk90')))), 53.68/8.47 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl259])). 53.68/8.47 thf(zip_derived_cl212, plain, 53.68/8.47 (( ((('#sk5' @ ('#sk15' @ '#sk5')) & 53.68/8.47 ((('#sk1' @ ('#sk15' @ '#sk5') @ ('#sk21' @ '#sk5')) | ('#sk2' @ 53.68/8.47 ('#sk15' @ '#sk5') @ ('#sk21' @ '#sk5')))))) 53.68/8.47 | ~ ('#form45') 53.68/8.47 | ~ ('#form35') 53.68/8.47 | ~ ('#form60' @ '#sk5'))), 53.68/8.47 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl211])). 53.68/8.47 thf(zip_derived_cl72, plain, 53.68/8.47 (![X2 : a > $o]: 53.68/8.47 ( (((((((!!) @ (^[Y0 : a]: 53.68/8.47 ((((('#sk1' @ '#sk47' @ Y0) | ('#sk2' @ '#sk47' @ 53.68/8.47 Y0))) => 53.68/8.47 (X2 @ Y0)))))) & 53.68/8.47 (((!!) @ (^[Y0 : a]: 53.68/8.47 (((!!) @ (^[Y1 : a]: 53.68/8.47 (((((X2 @ Y0) & 53.68/8.47 ((('#sk1' @ Y0 @ Y1) | ('#sk2' @ 53.68/8.47 Y0 @ Y1))))) => 53.68/8.47 (X2 @ Y1))))))))))) => 53.68/8.47 (X2 @ '#sk57'))) 53.68/8.47 | ('#form35'))), 53.68/8.47 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl61])). 53.68/8.47 thf(zip_derived_cl90, plain, 53.68/8.47 (![X2 : a > $o]: 53.68/8.47 (~ (((((!!) @ (^[Y0 : a]: 53.68/8.47 ((((('#sk1' @ '#sk47' @ Y0) | ('#sk2' @ '#sk47' @ Y0))) => 53.68/8.47 (X2 @ Y0)))))) & 53.68/8.47 (((!!) @ (^[Y0 : a]: 53.68/8.47 (((!!) @ (^[Y1 : a]: 53.68/8.47 (((((X2 @ Y0) & 53.68/8.47 ((('#sk1' @ Y0 @ Y1) | ('#sk2' @ 53.68/8.47 Y0 @ Y1))))) => 53.68/8.47 (X2 @ Y1))))))))))) 53.68/8.47 | (X2 @ '#sk57') 53.68/8.47 | ('#form35'))), 53.68/8.47 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl72])). 53.68/8.47 thf(zip_derived_cl98, plain, 53.68/8.47 (![X2 : a > $o]: 53.68/8.47 (~ (((!!) @ (^[Y0 : a]: 53.68/8.47 ((((('#sk1' @ '#sk47' @ Y0) | ('#sk2' @ '#sk47' @ Y0))) => 53.68/8.47 (X2 @ Y0)))))) 53.68/8.47 | ~ (((!!) @ (^[Y0 : a]: 53.68/8.47 (((!!) @ (^[Y1 : a]: 53.68/8.47 (((((X2 @ Y0) & 53.68/8.47 ((('#sk1' @ Y0 @ Y1) | ('#sk2' @ 53.68/8.47 Y0 @ Y1))))) => 53.68/8.47 (X2 @ Y1))))))))) 53.68/8.47 | ('#form35') 53.68/8.47 | (X2 @ '#sk57'))), 53.68/8.47 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl90])). 53.68/8.47 thf(zip_derived_cl106, plain, 53.68/8.47 (![X2 : a > $o]: 53.68/8.47 (~ ((((('#sk1' @ '#sk47' @ ('#sk135' @ X2)) | ('#sk2' @ '#sk47' @ 53.68/8.47 ('#sk135' @ X2)))) => 53.68/8.47 (X2 @ ('#sk135' @ X2)))) 53.68/8.47 | (X2 @ '#sk57') 53.68/8.47 | ('#form35') 53.68/8.47 | ~ (((!!) @ (^[Y0 : a]: 53.68/8.47 (((!!) @ (^[Y1 : a]: 53.68/8.47 (((((X2 @ Y0) & 53.68/8.47 ((('#sk1' @ Y0 @ Y1) | ('#sk2' @ 53.68/8.47 Y0 @ Y1))))) => 53.68/8.47 (X2 @ Y1))))))))))), 53.68/8.47 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl98])). 53.68/8.47 thf(zip_derived_cl116, plain, 53.68/8.47 (![X2 : a > $o]: 53.68/8.47 (~ (X2 @ ('#sk135' @ X2)) 53.68/8.47 | ~ (((!!) @ (^[Y0 : a]: 53.68/8.47 (((!!) @ (^[Y1 : a]: 53.68/8.47 (((((X2 @ Y0) & 53.68/8.47 ((('#sk1' @ Y0 @ Y1) | ('#sk2' @ 53.68/8.47 Y0 @ Y1))))) => 53.68/8.47 (X2 @ Y1))))))))) 53.68/8.47 | ('#form35') 53.68/8.47 | (X2 @ '#sk57'))), 53.68/8.47 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl106])). 53.68/8.47 thf(zip_derived_cl128, plain, 53.68/8.47 (![X2 : a > $o]: 53.68/8.47 (~ (((!!) @ (^[Y0 : a]: 53.68/8.47 (((((X2 @ ('#sk15' @ X2)) & 53.68/8.47 ((('#sk1' @ ('#sk15' @ X2) @ Y0) | ('#sk2' @ 53.68/8.47 ('#sk15' @ X2) @ Y0))))) => 53.68/8.47 (X2 @ Y0)))))) 53.68/8.47 | (X2 @ '#sk57') 53.68/8.47 | ('#form35') 53.68/8.47 | ~ (X2 @ ('#sk135' @ X2)))), 53.68/8.47 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl116])). 53.68/8.47 thf(zip_derived_cl139, plain, 53.68/8.47 (![X2 : a > $o]: 53.68/8.47 (~ (((((X2 @ ('#sk15' @ X2)) & 53.68/8.47 ((('#sk1' @ ('#sk15' @ X2) @ ('#sk21' @ X2)) | ('#sk2' @ 53.68/8.47 ('#sk15' @ X2) @ ('#sk21' @ X2)))))) => 53.68/8.47 (X2 @ ('#sk21' @ X2)))) 53.68/8.47 | ~ (X2 @ ('#sk135' @ X2)) 53.68/8.47 | ('#form35') 53.68/8.47 | (X2 @ '#sk57'))), 53.68/8.47 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl128])). 53.68/8.47 thf(zip_derived_cl149, plain, 53.68/8.47 (![X2 : a > $o]: 53.68/8.47 ( (((X2 @ ('#sk15' @ X2)) & 53.68/8.47 ((('#sk1' @ ('#sk15' @ X2) @ ('#sk21' @ X2)) | ('#sk2' @ 53.68/8.47 ('#sk15' @ X2) @ ('#sk21' @ X2)))))) 53.68/8.47 | (X2 @ '#sk57') 53.68/8.47 | ('#form35') 53.68/8.47 | ~ (X2 @ ('#sk135' @ X2)))), 53.68/8.47 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl139])). 53.68/8.47 thf(zip_derived_cl164, plain, 53.68/8.47 (![X2 : a > $o]: 53.68/8.47 (~ ('#form292' @ X2) 53.68/8.47 | (((X2 @ ('#sk15' @ X2)) & 53.68/8.47 ((('#sk1' @ ('#sk15' @ X2) @ ('#sk21' @ X2)) | ('#sk2' @ 53.68/8.47 ('#sk15' @ X2) @ ('#sk21' @ X2)))))))), 53.68/8.47 define([status(thm)])). 53.68/8.47 thf(zip_derived_cl214, plain, 53.68/8.47 (( ('#form292' @ '#sk5') 53.68/8.47 | ~ ('#form60' @ '#sk5') 53.68/8.47 | ~ ('#form35') 53.68/8.47 | ~ ('#form45'))), 53.68/8.47 inference('renaming', [status(thm)], 53.68/8.47 [zip_derived_cl212, zip_derived_cl164])). 53.68/8.47 thf(zip_derived_cl35, plain, 53.68/8.47 (( ('#form45') 53.68/8.47 | ~ (((!!) @ (^[Y0 : a]: 53.68/8.47 (((!!) @ (^[Y1 : a]: 53.68/8.47 (((((((!!) @ (^[Y2 : a > $o]: 53.68/8.47 (((((((!!) @ (^[Y3 : a]: 53.68/8.47 ((('#sk1' @ 53.68/8.47 Y0 @ 53.68/8.47 Y3) => 53.68/8.47 (Y2 @ Y3)))))) & 53.68/8.47 (((!!) @ (^[Y3 : a]: 53.68/8.47 (((!!) @ ( 53.68/8.47 ^[Y4 : a]: 53.68/8.47 (( 53.68/8.47 (( 53.68/8.47 ('#sk1' @ 53.68/8.47 Y3 @ 53.68/8.47 Y4) & 53.68/8.47 (Y2 @ Y3))) => 53.68/8.47 (Y2 @ Y4))))))))))) => 53.68/8.47 (Y2 @ Y1)))))) | 53.68/8.47 (((!!) @ (^[Y2 : a > $o]: 53.68/8.47 (((((((!!) @ (^[Y3 : a]: 53.68/8.47 ((('#sk2' @ 53.68/8.47 Y0 @ 53.68/8.47 Y3) => 53.68/8.47 (Y2 @ Y3)))))) & 53.68/8.47 (((!!) @ (^[Y3 : a]: 53.68/8.47 (((!!) @ ( 53.68/8.47 ^[Y4 : a]: 53.68/8.47 (( 53.68/8.47 (( 53.68/8.47 ('#sk2' @ 53.68/8.47 Y3 @ 53.68/8.47 Y4) & 53.68/8.47 (Y2 @ Y3))) => 53.68/8.47 (Y2 @ Y4))))))))))) => 53.68/8.47 (Y2 @ Y1)))))))) => 53.68/8.47 (((!!) @ (^[Y2 : a > $o]: 53.68/8.47 (((((((!!) @ (^[Y3 : a]: 53.68/8.47 (((!!) @ ( 53.68/8.47 ^[Y4 : a]: 53.68/8.47 ( 53.68/8.47 ( 53.68/8.47 (( 53.68/8.47 (Y2 @ 53.68/8.47 Y3) & 53.68/8.47 (( 53.68/8.47 ('#sk1' @ 53.68/8.47 Y3 @ 53.68/8.47 Y4) | 53.68/8.47 ('#sk2' @ 53.68/8.47 Y3 @ Y4))))) => 53.68/8.47 (Y2 @ Y4))))))))) & 53.68/8.47 (((!!) @ (^[Y3 : a]: 53.68/8.47 ((((('#sk2' @ 53.68/8.47 Y0 @ 53.68/8.47 Y3) | 53.68/8.47 ('#sk1' @ 53.68/8.47 Y0 @ Y3))) => 53.68/8.47 (Y2 @ Y3)))))))) => 53.68/8.47 (Y2 @ Y1)))))))))))))))), 53.68/8.47 define([status(thm)])). 53.68/8.47 thf(zip_derived_cl36, plain, 53.68/8.47 ((~ (((!!) @ (^[Y0 : a]: 53.68/8.47 (((((((!!) @ (^[Y1 : a > $o]: 53.68/8.48 (((((((!!) @ (^[Y2 : a]: 53.68/8.48 ((('#sk1' @ '#sk46' @ 53.68/8.48 Y2) => (Y1 @ Y2)))))) & 53.68/8.48 (((!!) @ (^[Y2 : a]: 53.68/8.48 (((!!) @ (^[Y3 : a]: 53.68/8.48 ((((('#sk1' @ 53.68/8.48 Y2 @ 53.68/8.48 Y3) & 53.68/8.48 (Y1 @ Y2))) => 53.68/8.48 (Y1 @ Y3))))))))))) => 53.68/8.48 (Y1 @ Y0)))))) | 53.68/8.48 (((!!) @ (^[Y1 : a > $o]: 53.68/8.48 (((((((!!) @ (^[Y2 : a]: 53.68/8.48 ((('#sk2' @ '#sk46' @ 53.68/8.48 Y2) => (Y1 @ Y2)))))) & 53.68/8.48 (((!!) @ (^[Y2 : a]: 53.68/8.48 (((!!) @ (^[Y3 : a]: 53.68/8.48 ((((('#sk2' @ 53.68/8.48 Y2 @ 53.68/8.48 Y3) & 53.68/8.48 (Y1 @ Y2))) => 53.68/8.48 (Y1 @ Y3))))))))))) => 53.68/8.48 (Y1 @ Y0)))))))) => 53.68/8.48 (((!!) @ (^[Y1 : a > $o]: 53.68/8.48 (((((((!!) @ (^[Y2 : a]: 53.68/8.48 (((!!) @ (^[Y3 : a]: 53.68/8.48 (((((Y1 @ Y2) & 53.68/8.48 ((('#sk1' @ 53.68/8.48 Y2 @ 53.68/8.48 Y3) | 53.68/8.48 ('#sk2' @ 53.68/8.48 Y2 @ Y3))))) => 53.68/8.48 (Y1 @ Y3))))))))) & 53.68/8.48 (((!!) @ (^[Y2 : a]: 53.68/8.48 ((((('#sk2' @ '#sk46' @ 53.68/8.48 Y2) | ('#sk1' @ 53.68/8.48 '#sk46' @ Y2))) => 53.68/8.48 (Y1 @ Y2)))))))) => 53.68/8.48 (Y1 @ Y0))))))))))) 53.68/8.48 | ('#form45'))), 53.68/8.48 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl35])). 53.68/8.48 thf(zip_derived_cl42, plain, 53.68/8.48 ((~ (((((((!!) @ (^[Y0 : a > $o]: 53.68/8.48 (((((((!!) @ (^[Y1 : a]: 53.68/8.48 ((('#sk1' @ '#sk46' @ Y1) => (Y0 @ 53.68/8.48 Y1)))))) & 53.68/8.48 (((!!) @ (^[Y1 : a]: 53.68/8.48 (((!!) @ (^[Y2 : a]: 53.68/8.48 ((((('#sk1' @ Y1 @ Y2) & 53.68/8.48 (Y0 @ Y1))) => 53.68/8.48 (Y0 @ Y2))))))))))) => 53.68/8.48 (Y0 @ '#sk56')))))) | 53.68/8.48 (((!!) @ (^[Y0 : a > $o]: 53.68/8.48 (((((((!!) @ (^[Y1 : a]: 53.68/8.48 ((('#sk2' @ '#sk46' @ Y1) => (Y0 @ 53.68/8.48 Y1)))))) & 53.68/8.48 (((!!) @ (^[Y1 : a]: 53.68/8.48 (((!!) @ (^[Y2 : a]: 53.68/8.48 ((((('#sk2' @ Y1 @ Y2) & 53.68/8.48 (Y0 @ Y1))) => 53.68/8.48 (Y0 @ Y2))))))))))) => 53.68/8.48 (Y0 @ '#sk56')))))))) => 53.68/8.48 (((!!) @ (^[Y0 : a > $o]: 53.68/8.48 (((((((!!) @ (^[Y1 : a]: 53.68/8.48 (((!!) @ (^[Y2 : a]: 53.68/8.48 (((((Y0 @ Y1) & 53.68/8.48 ((('#sk1' @ Y1 @ Y2) | 53.68/8.48 ('#sk2' @ Y1 @ Y2))))) => 53.68/8.48 (Y0 @ Y2))))))))) & 53.68/8.48 (((!!) @ (^[Y1 : a]: 53.68/8.48 ((((('#sk2' @ '#sk46' @ Y1) | 53.68/8.48 ('#sk1' @ '#sk46' @ Y1))) => 53.68/8.48 (Y0 @ Y1)))))))) => 53.68/8.48 (Y0 @ '#sk56')))))))) 53.68/8.48 | ('#form45'))), 53.68/8.48 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl36])). 53.68/8.48 thf(zip_derived_cl49, plain, 53.68/8.48 (( (((((!!) @ (^[Y0 : a > $o]: 53.68/8.48 (((((((!!) @ (^[Y1 : a]: 53.68/8.48 ((('#sk1' @ '#sk46' @ Y1) => (Y0 @ Y1)))))) & 53.68/8.48 (((!!) @ (^[Y1 : a]: 53.68/8.48 (((!!) @ (^[Y2 : a]: 53.68/8.48 ((((('#sk1' @ Y1 @ Y2) & 53.68/8.48 (Y0 @ Y1))) => 53.68/8.48 (Y0 @ Y2))))))))))) => 53.68/8.48 (Y0 @ '#sk56')))))) | 53.68/8.48 (((!!) @ (^[Y0 : a > $o]: 53.68/8.48 (((((((!!) @ (^[Y1 : a]: 53.68/8.48 ((('#sk2' @ '#sk46' @ Y1) => (Y0 @ Y1)))))) & 53.68/8.48 (((!!) @ (^[Y1 : a]: 53.68/8.48 (((!!) @ (^[Y2 : a]: 53.68/8.48 ((((('#sk2' @ Y1 @ Y2) & 53.68/8.48 (Y0 @ Y1))) => 53.68/8.48 (Y0 @ Y2))))))))))) => 53.68/8.48 (Y0 @ '#sk56')))))))) 53.68/8.48 | ('#form45'))), 53.68/8.48 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl42])). 53.68/8.48 thf(zip_derived_cl58, plain, 53.68/8.48 (( (((!!) @ (^[Y0 : a > $o]: 53.68/8.48 (((((((!!) @ (^[Y1 : a]: 53.68/8.48 ((('#sk1' @ '#sk46' @ Y1) => (Y0 @ Y1)))))) & 53.68/8.48 (((!!) @ (^[Y1 : a]: 53.68/8.48 (((!!) @ (^[Y2 : a]: 53.68/8.48 ((((('#sk1' @ Y1 @ Y2) & 53.68/8.48 (Y0 @ Y1))) => 53.68/8.48 (Y0 @ Y2))))))))))) => 53.68/8.48 (Y0 @ '#sk56')))))) 53.68/8.48 | (((!!) @ (^[Y0 : a > $o]: 53.68/8.48 (((((((!!) @ (^[Y1 : a]: 53.68/8.48 ((('#sk2' @ '#sk46' @ Y1) => (Y0 @ Y1)))))) & 53.68/8.48 (((!!) @ (^[Y1 : a]: 53.68/8.48 (((!!) @ (^[Y2 : a]: 53.68/8.48 ((((('#sk2' @ Y1 @ Y2) & 53.68/8.48 (Y0 @ Y1))) => 53.68/8.48 (Y0 @ Y2))))))))))) => 53.68/8.48 (Y0 @ '#sk56')))))) 53.68/8.48 | ('#form45'))), 53.68/8.48 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl49])). 53.68/8.48 thf(zip_derived_cl66, plain, 53.68/8.48 (![X2 : a > $o]: 53.68/8.48 ( (((((((!!) @ (^[Y0 : a]: ((('#sk1' @ '#sk46' @ Y0) => (X2 @ Y0)))))) & 53.68/8.48 (((!!) @ (^[Y0 : a]: 53.68/8.48 (((!!) @ (^[Y1 : a]: 53.68/8.48 ((((('#sk1' @ Y0 @ Y1) & (X2 @ Y0))) => 53.68/8.48 (X2 @ Y1))))))))))) => 53.68/8.48 (X2 @ '#sk56'))) 53.68/8.48 | ('#form45') 53.68/8.48 | (((!!) @ (^[Y0 : a > $o]: 53.68/8.48 (((((((!!) @ (^[Y1 : a]: 53.68/8.48 ((('#sk2' @ '#sk46' @ Y1) => (Y0 @ Y1)))))) & 53.68/8.48 (((!!) @ (^[Y1 : a]: 53.68/8.48 (((!!) @ (^[Y2 : a]: 53.68/8.48 ((((('#sk2' @ Y1 @ Y2) & 53.68/8.48 (Y0 @ Y1))) => 53.68/8.48 (Y0 @ Y2))))))))))) => 53.68/8.48 (Y0 @ '#sk56')))))))), 53.68/8.48 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl58])). 53.68/8.48 thf(zip_derived_cl82, plain, 53.68/8.48 ((~ ('#form107') 53.68/8.48 | (((!!) @ (^[Y0 : a > $o]: 53.68/8.48 (((((((!!) @ (^[Y1 : a]: 53.68/8.48 ((('#sk2' @ '#sk46' @ Y1) => (Y0 @ Y1)))))) & 53.68/8.48 (((!!) @ (^[Y1 : a]: 53.68/8.48 (((!!) @ (^[Y2 : a]: 53.68/8.48 ((((('#sk2' @ Y1 @ Y2) & 53.68/8.48 (Y0 @ Y1))) => 53.68/8.48 (Y0 @ Y2))))))))))) => 53.68/8.48 (Y0 @ '#sk56')))))))), 53.68/8.48 define([status(thm)])). 53.68/8.48 thf(zip_derived_cl83, plain, 53.68/8.48 (![X2 : a > $o]: 53.68/8.48 ( (((((((!!) @ (^[Y0 : a]: ((('#sk2' @ '#sk46' @ Y0) => (X2 @ Y0)))))) & 53.68/8.48 (((!!) @ (^[Y0 : a]: 53.68/8.48 (((!!) @ (^[Y1 : a]: 53.68/8.48 ((((('#sk2' @ Y0 @ Y1) & (X2 @ Y0))) => 53.68/8.48 (X2 @ Y1))))))))))) => 53.68/8.48 (X2 @ '#sk56'))) 53.68/8.48 | ~ ('#form107'))), 53.68/8.48 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl82])). 53.68/8.48 thf(zip_derived_cl95, plain, 53.68/8.48 (![X2 : a > $o]: 53.68/8.48 (~ (((((!!) @ (^[Y0 : a]: ((('#sk2' @ '#sk46' @ Y0) => (X2 @ Y0)))))) & 53.68/8.48 (((!!) @ (^[Y0 : a]: 53.68/8.48 (((!!) @ (^[Y1 : a]: 53.68/8.48 ((((('#sk2' @ Y0 @ Y1) & (X2 @ Y0))) => 53.68/8.48 (X2 @ Y1))))))))))) 53.68/8.48 | (X2 @ '#sk56') 53.68/8.48 | ~ ('#form107'))), 53.68/8.48 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl83])). 53.68/8.48 thf(zip_derived_cl103, plain, 53.68/8.48 (![X2 : a > $o]: 53.68/8.48 (~ (((!!) @ (^[Y0 : a]: ((('#sk2' @ '#sk46' @ Y0) => (X2 @ Y0)))))) 53.68/8.48 | ~ (((!!) @ (^[Y0 : a]: 53.68/8.48 (((!!) @ (^[Y1 : a]: 53.68/8.48 ((((('#sk2' @ Y0 @ Y1) & (X2 @ Y0))) => 53.68/8.48 (X2 @ Y1))))))))) 53.68/8.48 | ~ ('#form107') 53.68/8.48 | (X2 @ '#sk56'))), 53.68/8.48 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl95])). 53.68/8.48 thf(zip_derived_cl111, plain, 53.68/8.48 (![X2 : a > $o]: 53.68/8.48 (~ ((('#sk2' @ '#sk46' @ ('#sk147' @ X2)) => (X2 @ ('#sk147' @ X2)))) 53.68/8.48 | (X2 @ '#sk56') 53.68/8.48 | ~ ('#form107') 53.68/8.48 | ~ (((!!) @ (^[Y0 : a]: 53.68/8.48 (((!!) @ (^[Y1 : a]: 53.68/8.48 ((((('#sk2' @ Y0 @ Y1) & (X2 @ Y0))) => 53.68/8.48 (X2 @ Y1))))))))))), 53.68/8.48 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl103])). 53.68/8.48 thf(zip_derived_cl125, plain, 53.68/8.48 (![X2 : a > $o]: 53.68/8.48 (~ (X2 @ ('#sk147' @ X2)) 53.68/8.48 | ~ (((!!) @ (^[Y0 : a]: 53.68/8.48 (((!!) @ (^[Y1 : a]: 53.68/8.48 ((((('#sk2' @ Y0 @ Y1) & (X2 @ Y0))) => 53.68/8.48 (X2 @ Y1))))))))) 53.68/8.48 | ~ ('#form107') 53.68/8.48 | (X2 @ '#sk56'))), 53.68/8.48 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl111])). 53.68/8.48 thf(zip_derived_cl135, plain, 53.68/8.48 (![X2 : a > $o]: 53.68/8.48 (~ (((!!) @ (^[Y0 : a]: 53.68/8.48 ((((('#sk2' @ ('#sk191' @ X2) @ Y0) & (X2 @ 53.68/8.48 ('#sk191' @ X2)))) => 53.68/8.48 (X2 @ Y0)))))) 53.68/8.48 | (X2 @ '#sk56') 53.68/8.48 | ~ ('#form107') 53.68/8.48 | ~ (X2 @ ('#sk147' @ X2)))), 53.68/8.48 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl125])). 53.68/8.48 thf(zip_derived_cl147, plain, 53.68/8.48 (![X2 : a > $o]: 53.68/8.48 (~ ((((('#sk2' @ ('#sk191' @ X2) @ ('#sk227' @ X2)) & (X2 @ 53.68/8.48 ('#sk191' @ X2)))) => 53.68/8.48 (X2 @ ('#sk227' @ X2)))) 53.68/8.48 | ~ (X2 @ ('#sk147' @ X2)) 53.68/8.48 | ~ ('#form107') 53.68/8.48 | (X2 @ '#sk56'))), 53.68/8.48 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl135])). 53.68/8.48 thf(zip_derived_cl161, plain, 53.68/8.48 (![X2 : a > $o]: 53.68/8.48 (~ (X2 @ ('#sk227' @ X2)) 53.68/8.48 | (X2 @ '#sk56') 53.68/8.48 | ~ ('#form107') 53.68/8.48 | ~ (X2 @ ('#sk147' @ X2)))), 53.68/8.48 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl147])). 53.68/8.48 thf(zip_derived_cl160, plain, 53.68/8.48 (![X2 : a > $o]: 53.68/8.48 ( ((('#sk2' @ ('#sk191' @ X2) @ ('#sk227' @ X2)) & (X2 @ 53.68/8.48 ('#sk191' @ X2)))) 53.68/8.48 | (X2 @ '#sk56') 53.68/8.48 | ~ ('#form107') 53.68/8.48 | ~ (X2 @ ('#sk147' @ X2)))), 53.68/8.48 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl147])). 53.68/8.48 thf(zip_derived_cl179, plain, 53.68/8.48 (![X2 : a > $o]: 53.68/8.48 ( (X2 @ ('#sk191' @ X2)) 53.68/8.48 | ~ (X2 @ ('#sk147' @ X2)) 53.68/8.48 | ~ ('#form107') 53.68/8.48 | (X2 @ '#sk56'))), 53.68/8.48 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl160])). 53.68/8.48 thf(zip_derived_cl50, plain, 53.68/8.48 ((~ (((!!) @ (^[Y0 : a > $o]: 53.68/8.48 (((((((!!) @ (^[Y1 : a]: 53.68/8.48 (((!!) @ (^[Y2 : a]: 53.68/8.48 (((((Y0 @ Y1) & 53.68/8.48 ((('#sk1' @ Y1 @ Y2) | 53.68/8.48 ('#sk2' @ Y1 @ Y2))))) => 53.68/8.48 (Y0 @ Y2))))))))) & 53.68/8.48 (((!!) @ (^[Y1 : a]: 53.68/8.48 ((((('#sk2' @ '#sk46' @ Y1) | ('#sk1' @ 53.68/8.48 '#sk46' @ Y1))) => 53.68/8.48 (Y0 @ Y1)))))))) => 53.68/8.48 (Y0 @ '#sk56')))))) 53.68/8.48 | ('#form45'))), 53.68/8.48 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl42])). 53.68/8.48 thf(zip_derived_cl60, plain, 53.68/8.48 ((~ (((((((!!) @ (^[Y0 : a]: 53.68/8.48 (((!!) @ (^[Y1 : a]: 53.68/8.48 ((((('#sk89' @ Y0) & 53.68/8.48 ((('#sk1' @ Y0 @ Y1) | ('#sk2' @ 53.68/8.48 Y0 @ Y1))))) => 53.68/8.48 ('#sk89' @ Y1))))))))) & 53.68/8.48 (((!!) @ (^[Y0 : a]: 53.68/8.48 ((((('#sk2' @ '#sk46' @ Y0) | ('#sk1' @ '#sk46' @ Y0))) => 53.68/8.48 ('#sk89' @ Y0)))))))) => 53.68/8.48 ('#sk89' @ '#sk56'))) 53.68/8.48 | ('#form45'))), 53.68/8.48 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl50])). 53.68/8.48 thf(zip_derived_cl70, plain, 53.68/8.48 (( (((((!!) @ (^[Y0 : a]: 53.68/8.48 (((!!) @ (^[Y1 : a]: 53.68/8.48 ((((('#sk89' @ Y0) & 53.68/8.48 ((('#sk1' @ Y0 @ Y1) | ('#sk2' @ Y0 @ 53.68/8.48 Y1))))) => 53.68/8.48 ('#sk89' @ Y1))))))))) & 53.68/8.48 (((!!) @ (^[Y0 : a]: 53.68/8.48 ((((('#sk2' @ '#sk46' @ Y0) | ('#sk1' @ '#sk46' @ Y0))) => 53.68/8.48 ('#sk89' @ Y0)))))))) 53.68/8.48 | ('#form45'))), 53.68/8.48 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl60])). 53.68/8.48 thf(zip_derived_cl89, plain, 53.68/8.48 (( (((!!) @ (^[Y0 : a]: 53.68/8.48 ((((('#sk2' @ '#sk46' @ Y0) | ('#sk1' @ '#sk46' @ Y0))) => 53.68/8.48 ('#sk89' @ Y0)))))) 53.68/8.48 | ('#form45'))), 53.68/8.48 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl70])). 53.68/8.48 thf(zip_derived_cl97, plain, 53.68/8.48 (![X2 : a]: 53.68/8.48 ( ((((('#sk2' @ '#sk46' @ X2) | ('#sk1' @ '#sk46' @ X2))) => 53.68/8.48 ('#sk89' @ X2))) 53.68/8.48 | ('#form45'))), 53.68/8.48 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl89])). 53.68/8.48 thf(zip_derived_cl105, plain, 53.68/8.48 (![X2 : a]: 53.68/8.48 (~ ((('#sk2' @ '#sk46' @ X2) | ('#sk1' @ '#sk46' @ X2))) 53.68/8.48 | ('#sk89' @ X2) 53.68/8.48 | ('#form45'))), 53.68/8.48 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl97])). 53.68/8.48 thf(zip_derived_cl113, plain, 53.68/8.48 (![X2 : a]: (~ ('#sk2' @ '#sk46' @ X2) | ('#form45') | ('#sk89' @ X2))), 53.68/8.48 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl105])). 53.68/8.48 thf(zip_derived_cl178, plain, 53.68/8.48 (![X2 : a > $o]: 53.68/8.48 ( ('#sk2' @ ('#sk191' @ X2) @ ('#sk227' @ X2)) 53.68/8.48 | ~ (X2 @ ('#sk147' @ X2)) 53.68/8.48 | ~ ('#form107') 53.68/8.48 | (X2 @ '#sk56'))), 53.68/8.48 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl160])). 53.68/8.48 thf(zip_derived_cl44, plain, 53.68/8.48 (![X2 : a > $o]: 53.68/8.48 ( ('#form60' @ X2) 53.68/8.48 | ~ (((!!) @ (^[Y0 : a]: 53.68/8.48 ((((('#sk2' @ '#sk3' @ Y0) | ('#sk1' @ '#sk3' @ Y0))) => 53.68/8.48 (X2 @ Y0)))))))), 53.68/8.48 define([status(thm)])). 53.68/8.48 thf(zip_derived_cl45, plain, 53.68/8.48 (![X2 : a > $o]: 53.68/8.48 (~ ((((('#sk2' @ '#sk3' @ ('#sk61' @ X2)) | ('#sk1' @ '#sk3' @ 53.68/8.48 ('#sk61' @ X2)))) => 53.68/8.48 (X2 @ ('#sk61' @ X2)))) 53.68/8.48 | ('#form60' @ X2))), 53.68/8.48 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl44])). 53.68/8.48 thf(zip_derived_cl53, plain, 53.68/8.48 (![X2 : a > $o]: 53.68/8.48 ( ((('#sk2' @ '#sk3' @ ('#sk61' @ X2)) | ('#sk1' @ '#sk3' @ 53.68/8.48 ('#sk61' @ X2)))) 53.68/8.48 | ('#form60' @ X2))), 53.68/8.48 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl45])). 53.68/8.48 thf(zip_derived_cl65, plain, 53.68/8.48 (![X2 : a > $o]: 53.68/8.48 ( ('#sk2' @ '#sk3' @ ('#sk61' @ X2)) 53.68/8.48 | ('#sk1' @ '#sk3' @ ('#sk61' @ X2)) 53.68/8.48 | ('#form60' @ X2))), 53.68/8.48 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl53])). 53.68/8.48 thf(zip_derived_cl54, plain, 53.68/8.48 (![X2 : a > $o]: (~ (X2 @ ('#sk61' @ X2)) | ('#form60' @ X2))), 53.68/8.48 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl45])). 53.68/8.48 thf(zip_derived_cl71, plain, ((~ ('#sk89' @ '#sk56') | ('#form45'))), 53.68/8.48 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl60])). 53.68/8.48 thf(zip_derived_cl15, plain, 53.68/8.48 ( (((!!) @ (^[Y0 : a]: 53.68/8.48 ((((('#sk1' @ '#sk3' @ Y0) | ('#sk2' @ '#sk3' @ Y0))) => 53.68/8.48 ('#sk5' @ Y0))))))), 53.68/8.48 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl11])). 53.68/8.48 thf(zip_derived_cl18, plain, 53.68/8.48 (![X2 : a]: 53.68/8.48 ((((('#sk1' @ '#sk3' @ X2) | ('#sk2' @ '#sk3' @ X2))) => ('#sk5' @ 53.68/8.48 X2)))), 53.68/8.48 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl15])). 53.68/8.48 thf(zip_derived_cl21, plain, 53.68/8.48 (![X2 : a]: 53.68/8.48 (~ ((('#sk1' @ '#sk3' @ X2) | ('#sk2' @ '#sk3' @ X2))) 53.68/8.48 | ('#sk5' @ X2))), 53.68/8.48 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl18])). 53.68/8.48 thf(zip_derived_cl24, plain, 53.68/8.48 (![X2 : a]: (~ ('#sk1' @ '#sk3' @ X2) | ('#sk5' @ X2))), 53.68/8.48 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl21])). 53.68/8.48 thf(zip_derived_cl25, plain, 53.68/8.48 (![X2 : a]: (~ ('#sk2' @ '#sk3' @ X2) | ('#sk5' @ X2))), 53.68/8.48 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl21])). 53.68/8.48 thf(zip_derived_cl164, plain, 53.68/8.48 (![X2 : a > $o]: 53.68/8.48 (~ ('#form292' @ X2) 53.68/8.48 | (((X2 @ ('#sk15' @ X2)) & 53.68/8.48 ((('#sk1' @ ('#sk15' @ X2) @ ('#sk21' @ X2)) | ('#sk2' @ 53.68/8.48 ('#sk15' @ X2) @ ('#sk21' @ X2)))))))), 53.68/8.48 define([status(thm)])). 53.68/8.48 thf(zip_derived_cl165, plain, 53.68/8.48 (![X2 : a > $o]: ( (X2 @ ('#sk15' @ X2)) | ~ ('#form292' @ X2))), 53.68/8.48 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl164])). 53.68/8.48 thf(zip_derived_cl166, plain, 53.68/8.48 (![X2 : a > $o]: 53.68/8.48 ( ((('#sk1' @ ('#sk15' @ X2) @ ('#sk21' @ X2)) | ('#sk2' @ 53.68/8.48 ('#sk15' @ X2) @ ('#sk21' @ X2)))) 53.68/8.48 | ~ ('#form292' @ X2))), 53.68/8.48 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl164])). 53.68/8.48 thf(zip_derived_cl181, plain, 53.68/8.48 (![X2 : a > $o]: 53.68/8.48 ( ('#sk1' @ ('#sk15' @ X2) @ ('#sk21' @ X2)) 53.68/8.48 | ('#sk2' @ ('#sk15' @ X2) @ ('#sk21' @ X2)) 53.68/8.48 | ~ ('#form292' @ X2))), 53.68/8.48 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl166])). 53.68/8.48 thf(zip_derived_cl124, plain, 53.68/8.48 (![X2 : a > $o]: 53.68/8.48 ( ('#sk2' @ '#sk46' @ ('#sk147' @ X2)) 53.68/8.48 | ~ (((!!) @ (^[Y0 : a]: 53.68/8.48 (((!!) @ (^[Y1 : a]: 53.68/8.48 ((((('#sk2' @ Y0 @ Y1) & (X2 @ Y0))) => 53.68/8.48 (X2 @ Y1))))))))) 53.68/8.48 | ~ ('#form107') 53.68/8.48 | (X2 @ '#sk56'))), 53.68/8.48 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl111])). 53.68/8.48 thf(zip_derived_cl134, plain, 53.68/8.48 (![X2 : a > $o]: 53.68/8.48 (~ (((!!) @ (^[Y0 : a]: 53.68/8.48 ((((('#sk2' @ ('#sk191' @ X2) @ Y0) & (X2 @ 53.68/8.48 ('#sk191' @ X2)))) => 53.68/8.48 (X2 @ Y0)))))) 53.68/8.48 | (X2 @ '#sk56') 53.68/8.48 | ~ ('#form107') 53.68/8.48 | ('#sk2' @ '#sk46' @ ('#sk147' @ X2)))), 53.68/8.48 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl124])). 53.68/8.48 thf(zip_derived_cl146, plain, 53.68/8.48 (![X2 : a > $o]: 53.68/8.48 (~ ((((('#sk2' @ ('#sk191' @ X2) @ ('#sk227' @ X2)) & (X2 @ 53.68/8.48 ('#sk191' @ X2)))) => 53.68/8.48 (X2 @ ('#sk227' @ X2)))) 53.68/8.48 | ('#sk2' @ '#sk46' @ ('#sk147' @ X2)) 53.68/8.48 | ~ ('#form107') 53.68/8.48 | (X2 @ '#sk56'))), 53.68/8.48 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl134])). 53.68/8.48 thf(zip_derived_cl159, plain, 53.68/8.48 (![X2 : a > $o]: 53.68/8.48 (~ (X2 @ ('#sk227' @ X2)) 53.68/8.48 | (X2 @ '#sk56') 53.68/8.48 | ~ ('#form107') 53.68/8.48 | ('#sk2' @ '#sk46' @ ('#sk147' @ X2)))), 53.68/8.48 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl146])). 53.68/8.48 thf(zip_derived_cl262, plain, 53.68/8.48 (( ((('#sk90' @ ('#sk15' @ '#sk90')) & 53.68/8.48 ((('#sk1' @ ('#sk15' @ '#sk90') @ ('#sk21' @ '#sk90')) | ('#sk2' @ 53.68/8.48 ('#sk15' @ '#sk90') @ ('#sk21' @ '#sk90')))))) 53.68/8.48 | ('#form35') 53.68/8.48 | ('#sk2' @ '#sk47' @ ('#sk135' @ '#sk90')) 53.68/8.48 | ('#sk1' @ '#sk47' @ ('#sk135' @ '#sk90')))), 53.68/8.48 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl259])). 53.68/8.48 thf(zip_derived_cl164, plain, 53.68/8.48 (![X2 : a > $o]: 53.68/8.48 (~ ('#form292' @ X2) 53.68/8.48 | (((X2 @ ('#sk15' @ X2)) & 53.68/8.48 ((('#sk1' @ ('#sk15' @ X2) @ ('#sk21' @ X2)) | ('#sk2' @ 53.68/8.48 ('#sk15' @ X2) @ ('#sk21' @ X2)))))))), 53.68/8.48 define([status(thm)])). 53.68/8.48 thf(zip_derived_cl265, plain, 53.68/8.48 (( ('#form292' @ '#sk90') 53.68/8.48 | ('#sk1' @ '#sk47' @ ('#sk135' @ '#sk90')) 53.68/8.48 | ('#sk2' @ '#sk47' @ ('#sk135' @ '#sk90')) 53.68/8.48 | ('#form35'))), 53.68/8.48 inference('renaming', [status(thm)], 53.68/8.48 [zip_derived_cl262, zip_derived_cl164])). 53.68/8.48 thf(zip_derived_cl158, plain, 53.68/8.48 (![X2 : a > $o]: 53.68/8.48 ( ((('#sk2' @ ('#sk191' @ X2) @ ('#sk227' @ X2)) & (X2 @ 53.68/8.48 ('#sk191' @ X2)))) 53.68/8.48 | (X2 @ '#sk56') 53.68/8.48 | ~ ('#form107') 53.68/8.48 | ('#sk2' @ '#sk46' @ ('#sk147' @ X2)))), 53.68/8.48 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl146])). 53.68/8.48 thf(zip_derived_cl177, plain, 53.68/8.48 (![X2 : a > $o]: 53.68/8.48 ( (X2 @ ('#sk191' @ X2)) 53.68/8.48 | ('#sk2' @ '#sk46' @ ('#sk147' @ X2)) 53.68/8.48 | ~ ('#form107') 53.68/8.48 | (X2 @ '#sk56'))), 53.68/8.48 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl158])). 53.68/8.48 thf(zip_derived_cl88, plain, 53.68/8.48 (( (((!!) @ (^[Y0 : a]: 53.68/8.48 (((!!) @ (^[Y1 : a]: 53.68/8.48 ((((('#sk89' @ Y0) & 53.68/8.48 ((('#sk1' @ Y0 @ Y1) | ('#sk2' @ Y0 @ Y1))))) => 53.68/8.48 ('#sk89' @ Y1))))))))) 53.68/8.48 | ('#form45'))), 53.68/8.48 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl70])). 53.68/8.48 thf(zip_derived_cl96, plain, 53.68/8.48 (![X2 : a]: 53.68/8.48 ( (((!!) @ (^[Y0 : a]: 53.68/8.48 ((((('#sk89' @ X2) & 53.68/8.48 ((('#sk1' @ X2 @ Y0) | ('#sk2' @ X2 @ Y0))))) => 53.68/8.48 ('#sk89' @ Y0)))))) 53.68/8.48 | ('#form45'))), 53.68/8.48 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl88])). 53.68/8.48 thf(zip_derived_cl104, plain, 53.68/8.48 (![X2 : a, X4 : a]: 53.68/8.48 ( ((((('#sk89' @ X2) & ((('#sk1' @ X2 @ X4) | ('#sk2' @ X2 @ X4))))) => 53.68/8.48 ('#sk89' @ X4))) 53.68/8.48 | ('#form45'))), 53.68/8.48 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl96])). 53.68/8.48 thf(zip_derived_cl112, plain, 53.68/8.48 (![X2 : a, X4 : a]: 53.68/8.48 (~ ((('#sk89' @ X2) & ((('#sk1' @ X2 @ X4) | ('#sk2' @ X2 @ X4))))) 53.68/8.48 | ('#sk89' @ X4) 53.68/8.48 | ('#form45'))), 53.68/8.48 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl104])). 53.68/8.48 thf(zip_derived_cl126, plain, 53.68/8.48 (![X2 : a, X4 : a]: 53.68/8.48 (~ ('#sk89' @ X2) 53.68/8.48 | ~ ((('#sk1' @ X2 @ X4) | ('#sk2' @ X2 @ X4))) 53.68/8.48 | ('#form45') 53.68/8.48 | ('#sk89' @ X4))), 53.68/8.48 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl112])). 53.68/8.48 thf(zip_derived_cl137, plain, 53.68/8.48 (![X2 : a, X4 : a]: 53.68/8.48 (~ ('#sk2' @ X2 @ X4) 53.68/8.48 | ('#sk89' @ X4) 53.68/8.48 | ('#form45') 53.68/8.48 | ~ ('#sk89' @ X2))), 53.68/8.48 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl126])). 53.68/8.48 thf(zip_derived_cl260, plain, 53.68/8.48 (( ((('#sk90' @ ('#sk15' @ '#sk90')) & 53.68/8.48 ((('#sk1' @ ('#sk15' @ '#sk90') @ ('#sk21' @ '#sk90')) | ('#sk2' @ 53.68/8.48 ('#sk15' @ '#sk90') @ ('#sk21' @ '#sk90')))))) 53.68/8.48 | ('#form35') 53.68/8.48 | ~ ('#sk90' @ ('#sk135' @ '#sk90')))), 53.68/8.48 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl258])). 53.68/8.48 thf(zip_derived_cl164, plain, 53.68/8.48 (![X2 : a > $o]: 53.68/8.48 (~ ('#form292' @ X2) 53.68/8.48 | (((X2 @ ('#sk15' @ X2)) & 53.68/8.48 ((('#sk1' @ ('#sk15' @ X2) @ ('#sk21' @ X2)) | ('#sk2' @ 53.68/8.48 ('#sk15' @ X2) @ ('#sk21' @ X2)))))))), 53.68/8.48 define([status(thm)])). 53.68/8.48 thf(zip_derived_cl264, plain, 53.68/8.48 (( ('#form292' @ '#sk90') 53.68/8.48 | ~ ('#sk90' @ ('#sk135' @ '#sk90')) 53.68/8.48 | ('#form35'))), 53.68/8.48 inference('renaming', [status(thm)], 53.68/8.48 [zip_derived_cl260, zip_derived_cl164])). 53.68/8.48 thf(zip_derived_cl176, plain, 53.68/8.48 (![X2 : a > $o]: 53.68/8.48 ( ('#sk2' @ ('#sk191' @ X2) @ ('#sk227' @ X2)) 53.68/8.48 | ('#sk2' @ '#sk46' @ ('#sk147' @ X2)) 53.68/8.48 | ~ ('#form107') 53.68/8.48 | (X2 @ '#sk56'))), 53.68/8.48 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl158])). 53.68/8.48 thf(zip_derived_cl66, plain, 53.68/8.48 (![X2 : a > $o]: 53.68/8.48 ( (((((((!!) @ (^[Y0 : a]: ((('#sk1' @ '#sk46' @ Y0) => (X2 @ Y0)))))) & 53.68/8.48 (((!!) @ (^[Y0 : a]: 53.68/8.48 (((!!) @ (^[Y1 : a]: 53.68/8.48 ((((('#sk1' @ Y0 @ Y1) & (X2 @ Y0))) => 53.68/8.48 (X2 @ Y1))))))))))) => 53.68/8.48 (X2 @ '#sk56'))) 53.68/8.48 | ('#form45') 53.68/8.48 | (((!!) @ (^[Y0 : a > $o]: 53.68/8.48 (((((((!!) @ (^[Y1 : a]: 53.68/8.48 ((('#sk2' @ '#sk46' @ Y1) => (Y0 @ Y1)))))) & 53.68/8.48 (((!!) @ (^[Y1 : a]: 53.68/8.48 (((!!) @ (^[Y2 : a]: 53.68/8.48 ((((('#sk2' @ Y1 @ Y2) & 53.68/8.48 (Y0 @ Y1))) => 53.68/8.48 (Y0 @ Y2))))))))))) => 53.68/8.48 (Y0 @ '#sk56')))))))), 53.68/8.48 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl58])). 53.68/8.48 thf(zip_derived_cl68, plain, 53.68/8.48 (( (((((((!!) @ (^[Y0 : a]: ((('#sk1' @ '#sk46' @ Y0) => ('#sk89' @ Y0)))))) & 53.68/8.48 (((!!) @ (^[Y0 : a]: 53.68/8.48 (((!!) @ (^[Y1 : a]: 53.68/8.48 ((((('#sk1' @ Y0 @ Y1) & ('#sk89' @ Y0))) => 53.68/8.48 ('#sk89' @ Y1))))))))))) => 53.68/8.48 ('#sk89' @ '#sk56'))) 53.68/8.48 | ('#form45') 53.68/8.48 | (((!!) @ (^[Y0 : a > $o]: 53.68/8.48 (((((((!!) @ (^[Y1 : a]: 53.68/8.48 ((('#sk2' @ '#sk46' @ Y1) => (Y0 @ Y1)))))) & 53.68/8.48 (((!!) @ (^[Y1 : a]: 53.68/8.48 (((!!) @ (^[Y2 : a]: 53.68/8.48 ((((('#sk2' @ Y1 @ Y2) & 53.68/8.48 (Y0 @ Y1))) => 53.68/8.48 (Y0 @ Y2))))))))))) => 53.68/8.48 (Y0 @ '#sk56')))))))), 53.68/8.48 inference('triggered_bool_instantiation', [status(thm)], 53.68/8.48 [zip_derived_cl66])). 53.68/8.48 thf(zip_derived_cl82, plain, 53.68/8.48 ((~ ('#form107') 53.68/8.48 | (((!!) @ (^[Y0 : a > $o]: 53.68/8.48 (((((((!!) @ (^[Y1 : a]: 53.68/8.48 ((('#sk2' @ '#sk46' @ Y1) => (Y0 @ Y1)))))) & 53.68/8.48 (((!!) @ (^[Y1 : a]: 53.68/8.48 (((!!) @ (^[Y2 : a]: 53.68/8.48 ((((('#sk2' @ Y1 @ Y2) & 53.68/8.48 (Y0 @ Y1))) => 53.68/8.48 (Y0 @ Y2))))))))))) => 53.68/8.48 (Y0 @ '#sk56')))))))), 53.68/8.48 define([status(thm)])). 53.68/8.48 thf(zip_derived_cl396, plain, 53.68/8.48 (( ('#form107') 53.68/8.48 | ('#form45') 53.68/8.48 | (((((((!!) @ (^[Y0 : a]: 53.68/8.48 ((('#sk1' @ '#sk46' @ Y0) => ('#sk89' @ Y0)))))) & 53.68/8.48 (((!!) @ (^[Y0 : a]: 53.68/8.48 (((!!) @ (^[Y1 : a]: 53.68/8.48 ((((('#sk1' @ Y0 @ Y1) & ('#sk89' @ Y0))) => 53.68/8.48 ('#sk89' @ Y1))))))))))) => 53.68/8.48 ('#sk89' @ '#sk56'))))), 53.68/8.48 inference('renaming', [status(thm)], [zip_derived_cl68, zip_derived_cl82])). 53.68/8.48 thf(zip_derived_cl397, plain, 53.68/8.48 ((~ (((((!!) @ (^[Y0 : a]: ((('#sk1' @ '#sk46' @ Y0) => ('#sk89' @ Y0)))))) & 53.68/8.48 (((!!) @ (^[Y0 : a]: 53.68/8.48 (((!!) @ (^[Y1 : a]: 53.68/8.48 ((((('#sk1' @ Y0 @ Y1) & ('#sk89' @ Y0))) => 53.68/8.48 ('#sk89' @ Y1))))))))))) 53.68/8.48 | ('#sk89' @ '#sk56') 53.68/8.48 | ('#form45') 53.68/8.48 | ('#form107'))), 53.68/8.48 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl396])). 53.68/8.48 thf(zip_derived_cl71, plain, ((~ ('#sk89' @ '#sk56') | ('#form45'))), 53.68/8.48 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl60])). 53.68/8.48 thf(zip_derived_cl398, plain, 53.68/8.48 (( ('#form107') 53.68/8.48 | ('#form45') 53.68/8.48 | ~ (((((!!) @ (^[Y0 : a]: 53.68/8.48 ((('#sk1' @ '#sk46' @ Y0) => ('#sk89' @ Y0)))))) & 53.68/8.48 (((!!) @ (^[Y0 : a]: 53.68/8.48 (((!!) @ (^[Y1 : a]: 53.68/8.48 ((((('#sk1' @ Y0 @ Y1) & ('#sk89' @ Y0))) => 53.68/8.48 ('#sk89' @ Y1))))))))))))), 53.68/8.48 inference('clc', [status(thm)], [zip_derived_cl397, zip_derived_cl71])). 53.68/8.48 thf(zip_derived_cl399, plain, 53.68/8.48 ((~ (((!!) @ (^[Y0 : a]: ((('#sk1' @ '#sk46' @ Y0) => ('#sk89' @ Y0)))))) 53.68/8.48 | ~ (((!!) @ (^[Y0 : a]: 53.68/8.48 (((!!) @ (^[Y1 : a]: 53.68/8.48 ((((('#sk1' @ Y0 @ Y1) & ('#sk89' @ Y0))) => 53.68/8.48 ('#sk89' @ Y1))))))))) 53.68/8.48 | ('#form45') 53.68/8.48 | ('#form107'))), 53.68/8.48 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl398])). 53.68/8.48 thf(zip_derived_cl400, plain, 53.68/8.48 ((~ ((('#sk1' @ '#sk46' @ ('#sk143' @ '#sk89')) => ('#sk89' @ 53.68/8.48 ('#sk143' @ '#sk89')))) 53.68/8.48 | ('#form107') 53.68/8.48 | ('#form45') 53.68/8.48 | ~ (((!!) @ (^[Y0 : a]: 53.68/8.48 (((!!) @ (^[Y1 : a]: 53.68/8.48 ((((('#sk1' @ Y0 @ Y1) & ('#sk89' @ Y0))) => 53.68/8.48 ('#sk89' @ Y1))))))))))), 53.68/8.48 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl399])). 53.68/8.48 thf(zip_derived_cl402, plain, 53.68/8.48 ((~ ('#sk89' @ ('#sk143' @ '#sk89')) 53.68/8.48 | ~ (((!!) @ (^[Y0 : a]: 53.68/8.48 (((!!) @ (^[Y1 : a]: 53.68/8.48 ((((('#sk1' @ Y0 @ Y1) & ('#sk89' @ Y0))) => 53.68/8.48 ('#sk89' @ Y1))))))))) 53.68/8.48 | ('#form45') 53.68/8.48 | ('#form107'))), 53.68/8.48 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl400])). 53.68/8.48 thf(zip_derived_cl404, plain, 53.68/8.48 ((~ (((!!) @ (^[Y0 : a]: 53.68/8.48 ((((('#sk1' @ ('#sk184' @ '#sk89') @ Y0) & ('#sk89' @ 53.68/8.48 ('#sk184' @ '#sk89')))) => 53.68/8.48 ('#sk89' @ Y0)))))) 53.68/8.48 | ('#form107') 53.68/8.48 | ('#form45') 53.68/8.48 | ~ ('#sk89' @ ('#sk143' @ '#sk89')))), 53.68/8.48 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl402])). 53.68/8.48 thf(zip_derived_cl406, plain, 53.68/8.48 ((~ ((((('#sk1' @ ('#sk184' @ '#sk89') @ ('#sk218' @ '#sk89')) & 53.68/8.48 ('#sk89' @ ('#sk184' @ '#sk89')))) => 53.68/8.48 ('#sk89' @ ('#sk218' @ '#sk89')))) 53.68/8.48 | ~ ('#sk89' @ ('#sk143' @ '#sk89')) 53.68/8.48 | ('#form45') 53.68/8.48 | ('#form107'))), 53.68/8.48 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl404])). 53.68/8.48 thf(zip_derived_cl410, plain, 53.68/8.48 ((~ ('#sk89' @ ('#sk218' @ '#sk89')) 53.68/8.48 | ('#form107') 53.68/8.48 | ('#form45') 53.68/8.48 | ~ ('#sk89' @ ('#sk143' @ '#sk89')))), 53.68/8.48 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl406])). 53.68/8.48 thf(zip_derived_cl409, plain, 53.68/8.48 (( ((('#sk1' @ ('#sk184' @ '#sk89') @ ('#sk218' @ '#sk89')) & ('#sk89' @ 53.68/8.48 ('#sk184' @ '#sk89')))) 53.68/8.48 | ('#form107') 53.68/8.48 | ('#form45') 53.68/8.49 | ~ ('#sk89' @ ('#sk143' @ '#sk89')))), 53.68/8.49 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl406])). 53.68/8.49 thf(zip_derived_cl414, plain, 53.68/8.49 (( ('#sk89' @ ('#sk184' @ '#sk89')) 53.68/8.49 | ~ ('#sk89' @ ('#sk143' @ '#sk89')) 53.68/8.49 | ('#form45') 53.68/8.49 | ('#form107'))), 53.68/8.49 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl409])). 53.68/8.49 thf(zip_derived_cl413, plain, 53.68/8.49 (( ('#sk1' @ ('#sk184' @ '#sk89') @ ('#sk218' @ '#sk89')) 53.68/8.49 | ~ ('#sk89' @ ('#sk143' @ '#sk89')) 53.68/8.49 | ('#form45') 53.68/8.49 | ('#form107'))), 53.68/8.49 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl409])). 53.68/8.49 thf(zip_derived_cl401, plain, 53.68/8.49 (( ('#sk1' @ '#sk46' @ ('#sk143' @ '#sk89')) 53.68/8.49 | ~ (((!!) @ (^[Y0 : a]: 53.68/8.49 (((!!) @ (^[Y1 : a]: 53.68/8.49 ((((('#sk1' @ Y0 @ Y1) & ('#sk89' @ Y0))) => 53.68/8.49 ('#sk89' @ Y1))))))))) 53.68/8.49 | ('#form45') 53.68/8.49 | ('#form107'))), 53.68/8.49 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl400])). 53.68/8.49 thf(zip_derived_cl403, plain, 53.68/8.49 ((~ (((!!) @ (^[Y0 : a]: 53.68/8.49 ((((('#sk1' @ ('#sk184' @ '#sk89') @ Y0) & ('#sk89' @ 53.68/8.49 ('#sk184' @ '#sk89')))) => 53.68/8.49 ('#sk89' @ Y0)))))) 53.68/8.49 | ('#form107') 53.68/8.49 | ('#form45') 53.68/8.49 | ('#sk1' @ '#sk46' @ ('#sk143' @ '#sk89')))), 53.68/8.49 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl401])). 53.68/8.49 thf(zip_derived_cl405, plain, 53.68/8.49 ((~ ((((('#sk1' @ ('#sk184' @ '#sk89') @ ('#sk218' @ '#sk89')) & 53.68/8.49 ('#sk89' @ ('#sk184' @ '#sk89')))) => 53.68/8.49 ('#sk89' @ ('#sk218' @ '#sk89')))) 53.68/8.49 | ('#sk1' @ '#sk46' @ ('#sk143' @ '#sk89')) 53.68/8.49 | ('#form45') 53.68/8.49 | ('#form107'))), 53.68/8.49 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl403])). 53.68/8.49 thf(zip_derived_cl407, plain, 53.68/8.49 (( ((('#sk1' @ ('#sk184' @ '#sk89') @ ('#sk218' @ '#sk89')) & ('#sk89' @ 53.68/8.49 ('#sk184' @ '#sk89')))) 53.68/8.49 | ('#form107') 53.68/8.49 | ('#form45') 53.68/8.49 | ('#sk1' @ '#sk46' @ ('#sk143' @ '#sk89')))), 53.68/8.49 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl405])). 53.68/8.49 thf(zip_derived_cl412, plain, 53.68/8.49 (( ('#sk89' @ ('#sk184' @ '#sk89')) 53.68/8.49 | ('#sk1' @ '#sk46' @ ('#sk143' @ '#sk89')) 53.68/8.49 | ('#form45') 53.68/8.49 | ('#form107'))), 53.68/8.49 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl407])). 53.68/8.49 thf(zip_derived_cl411, plain, 53.68/8.49 (( ('#sk1' @ ('#sk184' @ '#sk89') @ ('#sk218' @ '#sk89')) 53.68/8.49 | ('#sk1' @ '#sk46' @ ('#sk143' @ '#sk89')) 53.68/8.49 | ('#form45') 53.68/8.49 | ('#form107'))), 53.68/8.49 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl407])). 53.68/8.49 thf(zip_derived_cl62, plain, 53.68/8.49 (( (((!!) @ (^[Y0 : a > $o]: 53.68/8.49 (((((((!!) @ (^[Y1 : a]: 53.68/8.49 ((((('#sk2' @ '#sk36' @ Y1) | ('#sk1' @ 53.68/8.49 '#sk36' @ Y1))) => 53.68/8.49 (Y0 @ Y1)))))) & 53.68/8.49 (((!!) @ (^[Y1 : a]: 53.68/8.49 (((!!) @ (^[Y2 : a]: 53.68/8.49 ((((((('#sk1' @ Y1 @ Y2) | 53.68/8.49 ('#sk2' @ Y1 @ Y2))) & 53.68/8.49 (Y0 @ Y1))) => 53.68/8.49 (Y0 @ Y2))))))))))) => 53.68/8.49 (Y0 @ '#sk47')))))) 53.68/8.49 | ('#form35'))), 53.68/8.49 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl51])). 53.68/8.49 thf(zip_derived_cl76, plain, 53.68/8.49 (![X2 : a > $o]: 53.68/8.49 ( (((((((!!) @ (^[Y0 : a]: 53.68/8.49 ((((('#sk2' @ '#sk36' @ Y0) | ('#sk1' @ '#sk36' @ 53.68/8.49 Y0))) => 53.68/8.49 (X2 @ Y0)))))) & 53.68/8.49 (((!!) @ (^[Y0 : a]: 53.68/8.49 (((!!) @ (^[Y1 : a]: 53.68/8.49 ((((((('#sk1' @ Y0 @ Y1) | ('#sk2' @ 53.68/8.49 Y0 @ Y1))) & 53.68/8.49 (X2 @ Y0))) => 53.68/8.49 (X2 @ Y1))))))))))) => 53.68/8.49 (X2 @ '#sk47'))) 53.68/8.49 | ('#form35'))), 53.68/8.49 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl62])). 53.68/8.49 thf(zip_derived_cl91, plain, 53.68/8.49 (![X2 : a > $o]: 53.68/8.49 (~ (((((!!) @ (^[Y0 : a]: 53.68/8.49 ((((('#sk2' @ '#sk36' @ Y0) | ('#sk1' @ '#sk36' @ Y0))) => 53.68/8.49 (X2 @ Y0)))))) & 53.68/8.49 (((!!) @ (^[Y0 : a]: 53.68/8.49 (((!!) @ (^[Y1 : a]: 53.68/8.49 ((((((('#sk1' @ Y0 @ Y1) | ('#sk2' @ 53.68/8.49 Y0 @ Y1))) & 53.68/8.49 (X2 @ Y0))) => 53.68/8.49 (X2 @ Y1))))))))))) 53.68/8.49 | (X2 @ '#sk47') 53.68/8.49 | ('#form35'))), 53.68/8.49 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl76])). 53.68/8.49 thf(zip_derived_cl99, plain, 53.68/8.49 (![X2 : a > $o]: 53.68/8.49 (~ (((!!) @ (^[Y0 : a]: 53.68/8.49 ((((('#sk2' @ '#sk36' @ Y0) | ('#sk1' @ '#sk36' @ Y0))) => 53.68/8.49 (X2 @ Y0)))))) 53.68/8.49 | ~ (((!!) @ (^[Y0 : a]: 53.68/8.49 (((!!) @ (^[Y1 : a]: 53.68/8.49 ((((((('#sk1' @ Y0 @ Y1) | ('#sk2' @ 53.68/8.49 Y0 @ Y1))) & 53.68/8.49 (X2 @ Y0))) => 53.68/8.49 (X2 @ Y1))))))))) 53.68/8.49 | ('#form35') 53.68/8.49 | (X2 @ '#sk47'))), 53.68/8.49 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl91])). 53.68/8.49 thf(zip_derived_cl107, plain, 53.68/8.49 (![X2 : a > $o]: 53.68/8.49 (~ ((((('#sk2' @ '#sk36' @ ('#sk139' @ X2)) | ('#sk1' @ '#sk36' @ 53.68/8.49 ('#sk139' @ X2)))) => 53.68/8.49 (X2 @ ('#sk139' @ X2)))) 53.68/8.49 | (X2 @ '#sk47') 53.68/8.49 | ('#form35') 53.68/8.49 | ~ (((!!) @ (^[Y0 : a]: 53.68/8.49 (((!!) @ (^[Y1 : a]: 53.68/8.49 ((((((('#sk1' @ Y0 @ Y1) | ('#sk2' @ 53.68/8.49 Y0 @ Y1))) & 53.68/8.49 (X2 @ Y0))) => 53.68/8.49 (X2 @ Y1))))))))))), 53.68/8.49 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl99])). 53.68/8.49 thf(zip_derived_cl118, plain, 53.68/8.49 (![X2 : a > $o]: 53.68/8.49 (~ (X2 @ ('#sk139' @ X2)) 53.68/8.49 | ~ (((!!) @ (^[Y0 : a]: 53.68/8.49 (((!!) @ (^[Y1 : a]: 53.68/8.49 ((((((('#sk1' @ Y0 @ Y1) | ('#sk2' @ 53.68/8.49 Y0 @ Y1))) & 53.68/8.49 (X2 @ Y0))) => 53.68/8.49 (X2 @ Y1))))))))) 53.68/8.49 | ('#form35') 53.68/8.49 | (X2 @ '#sk47'))), 53.68/8.49 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl107])). 53.68/8.49 thf(zip_derived_cl130, plain, 53.68/8.49 (![X2 : a > $o]: 53.68/8.49 (~ (((!!) @ (^[Y0 : a]: 53.68/8.49 ((((((('#sk1' @ ('#sk180' @ X2) @ Y0) | ('#sk2' @ 53.68/8.49 ('#sk180' @ X2) @ Y0))) & 53.68/8.49 (X2 @ ('#sk180' @ X2)))) => 53.68/8.49 (X2 @ Y0)))))) 53.68/8.49 | (X2 @ '#sk47') 53.68/8.49 | ('#form35') 53.68/8.49 | ~ (X2 @ ('#sk139' @ X2)))), 53.68/8.49 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl118])). 53.68/8.49 thf(zip_derived_cl141, plain, 53.68/8.49 (![X2 : a > $o]: 53.68/8.49 (~ ((((((('#sk1' @ ('#sk180' @ X2) @ ('#sk213' @ X2)) | ('#sk2' @ 53.68/8.49 ('#sk180' @ X2) @ ('#sk213' @ X2)))) & 53.68/8.49 (X2 @ ('#sk180' @ X2)))) => 53.68/8.49 (X2 @ ('#sk213' @ X2)))) 53.68/8.49 | ~ (X2 @ ('#sk139' @ X2)) 53.68/8.49 | ('#form35') 53.68/8.49 | (X2 @ '#sk47'))), 53.68/8.49 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl130])). 53.68/8.49 thf(zip_derived_cl153, plain, 53.68/8.49 (![X2 : a > $o]: 53.68/8.49 (~ (X2 @ ('#sk213' @ X2)) 53.68/8.49 | (X2 @ '#sk47') 53.68/8.49 | ('#form35') 53.68/8.49 | ~ (X2 @ ('#sk139' @ X2)))), 53.68/8.49 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl141])). 53.68/8.49 thf(zip_derived_cl152, plain, 53.68/8.49 (![X2 : a > $o]: 53.68/8.49 ( ((((('#sk1' @ ('#sk180' @ X2) @ ('#sk213' @ X2)) | ('#sk2' @ 53.68/8.49 ('#sk180' @ X2) @ ('#sk213' @ X2)))) & 53.68/8.49 (X2 @ ('#sk180' @ X2)))) 53.68/8.49 | (X2 @ '#sk47') 53.68/8.49 | ('#form35') 53.68/8.49 | ~ (X2 @ ('#sk139' @ X2)))), 53.68/8.49 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl141])). 53.68/8.49 thf(zip_derived_cl171, plain, 53.68/8.49 (![X2 : a > $o]: 53.68/8.49 ( (X2 @ ('#sk180' @ X2)) 53.68/8.49 | ~ (X2 @ ('#sk139' @ X2)) 53.68/8.49 | ('#form35') 53.68/8.49 | (X2 @ '#sk47'))), 53.68/8.49 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl152])). 53.68/8.49 thf(zip_derived_cl170, plain, 53.68/8.49 (![X2 : a > $o]: 53.68/8.49 ( ((('#sk1' @ ('#sk180' @ X2) @ ('#sk213' @ X2)) | ('#sk2' @ 53.68/8.49 ('#sk180' @ X2) @ ('#sk213' @ X2)))) 53.68/8.49 | ~ (X2 @ ('#sk139' @ X2)) 53.68/8.49 | ('#form35') 53.68/8.49 | (X2 @ '#sk47'))), 53.68/8.49 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl152])). 53.68/8.49 thf(zip_derived_cl184, plain, 53.68/8.49 (![X2 : a > $o]: 53.68/8.49 ( ('#sk1' @ ('#sk180' @ X2) @ ('#sk213' @ X2)) 53.68/8.49 | ('#sk2' @ ('#sk180' @ X2) @ ('#sk213' @ X2)) 53.68/8.49 | (X2 @ '#sk47') 53.68/8.49 | ('#form35') 53.68/8.49 | ~ (X2 @ ('#sk139' @ X2)))), 53.68/8.49 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl170])). 53.68/8.49 thf(zip_derived_cl408, plain, 53.68/8.49 ((~ ('#sk89' @ ('#sk218' @ '#sk89')) 53.68/8.49 | ('#form107') 53.68/8.49 | ('#form45') 53.68/8.49 | ('#sk1' @ '#sk46' @ ('#sk143' @ '#sk89')))), 53.68/8.49 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl405])). 53.68/8.49 thf(zip_derived_cl114, plain, 53.68/8.49 (![X2 : a]: (~ ('#sk1' @ '#sk46' @ X2) | ('#form45') | ('#sk89' @ X2))), 53.68/8.49 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl105])). 53.68/8.49 thf(zip_derived_cl80, plain, 53.68/8.49 (( (((((!!) @ (^[Y0 : a]: 53.68/8.49 ((((('#sk2' @ '#sk36' @ Y0) | ('#sk1' @ '#sk36' @ Y0))) => 53.68/8.49 ('#sk90' @ Y0)))))) & 53.68/8.49 (((!!) @ (^[Y0 : a]: 53.68/8.49 (((!!) @ (^[Y1 : a]: 53.68/8.49 ((((((('#sk1' @ Y0 @ Y1) | ('#sk2' @ Y0 @ 53.68/8.49 Y1))) & 53.68/8.49 ('#sk90' @ Y0))) => 53.68/8.49 ('#sk90' @ Y1))))))))))) 53.68/8.49 | ('#form35'))), 53.68/8.49 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl64])). 53.68/8.49 thf(zip_derived_cl92, plain, 53.68/8.49 (( (((!!) @ (^[Y0 : a]: 53.68/8.49 ((((('#sk2' @ '#sk36' @ Y0) | ('#sk1' @ '#sk36' @ Y0))) => 53.68/8.49 ('#sk90' @ Y0)))))) 53.68/8.49 | ('#form35'))), 53.68/8.49 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl80])). 53.68/8.49 thf(zip_derived_cl100, plain, 53.68/8.49 (![X2 : a]: 53.68/8.49 ( ((((('#sk2' @ '#sk36' @ X2) | ('#sk1' @ '#sk36' @ X2))) => 53.68/8.49 ('#sk90' @ X2))) 53.68/8.49 | ('#form35'))), 53.68/8.49 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl92])). 53.68/8.49 thf(zip_derived_cl108, plain, 53.68/8.49 (![X2 : a]: 53.68/8.49 (~ ((('#sk2' @ '#sk36' @ X2) | ('#sk1' @ '#sk36' @ X2))) 53.68/8.49 | ('#sk90' @ X2) 53.68/8.49 | ('#form35'))), 53.68/8.49 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl100])). 53.68/8.49 thf(zip_derived_cl120, plain, 53.68/8.49 (![X2 : a]: (~ ('#sk1' @ '#sk36' @ X2) | ('#form35') | ('#sk90' @ X2))), 53.68/8.49 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl108])). 53.68/8.49 thf(zip_derived_cl117, plain, 53.68/8.49 (![X2 : a > $o]: 53.68/8.49 ( ((('#sk2' @ '#sk36' @ ('#sk139' @ X2)) | ('#sk1' @ '#sk36' @ 53.68/8.49 ('#sk139' @ X2)))) 53.68/8.49 | ~ (((!!) @ (^[Y0 : a]: 53.68/8.49 (((!!) @ (^[Y1 : a]: 53.68/8.49 ((((((('#sk1' @ Y0 @ Y1) | ('#sk2' @ 53.68/8.49 Y0 @ Y1))) & 53.68/8.49 (X2 @ Y0))) => 53.68/8.49 (X2 @ Y1))))))))) 53.68/8.49 | ('#form35') 53.68/8.49 | (X2 @ '#sk47'))), 53.68/8.49 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl107])). 53.68/8.49 thf(zip_derived_cl129, plain, 53.68/8.49 (![X2 : a > $o]: 53.68/8.49 ( ('#sk2' @ '#sk36' @ ('#sk139' @ X2)) 53.68/8.49 | ('#sk1' @ '#sk36' @ ('#sk139' @ X2)) 53.68/8.49 | (X2 @ '#sk47') 53.68/8.49 | ('#form35') 53.68/8.49 | ~ (((!!) @ (^[Y0 : a]: 53.68/8.49 (((!!) @ (^[Y1 : a]: 53.68/8.49 ((((((('#sk1' @ Y0 @ Y1) | ('#sk2' @ 53.68/8.49 Y0 @ Y1))) & 53.68/8.49 (X2 @ Y0))) => 53.68/8.49 (X2 @ Y1))))))))))), 53.68/8.49 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl117])). 53.68/8.49 thf(zip_derived_cl140, plain, 53.68/8.49 (![X2 : a > $o]: 53.68/8.49 (~ (((!!) @ (^[Y0 : a]: 53.68/8.49 ((((((('#sk1' @ ('#sk180' @ X2) @ Y0) | ('#sk2' @ 53.68/8.49 ('#sk180' @ X2) @ Y0))) & 53.68/8.49 (X2 @ ('#sk180' @ X2)))) => 53.68/8.49 (X2 @ Y0)))))) 53.68/8.49 | ('#form35') 53.68/8.49 | (X2 @ '#sk47') 53.68/8.49 | ('#sk1' @ '#sk36' @ ('#sk139' @ X2)) 53.68/8.49 | ('#sk2' @ '#sk36' @ ('#sk139' @ X2)))), 53.68/8.49 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl129])). 53.68/8.49 thf(zip_derived_cl151, plain, 53.68/8.49 (![X2 : a > $o]: 53.68/8.49 (~ ((((((('#sk1' @ ('#sk180' @ X2) @ ('#sk213' @ X2)) | ('#sk2' @ 53.68/8.49 ('#sk180' @ X2) @ ('#sk213' @ X2)))) & 53.68/8.49 (X2 @ ('#sk180' @ X2)))) => 53.68/8.49 (X2 @ ('#sk213' @ X2)))) 53.68/8.49 | ('#sk2' @ '#sk36' @ ('#sk139' @ X2)) 53.68/8.49 | ('#sk1' @ '#sk36' @ ('#sk139' @ X2)) 53.68/8.49 | (X2 @ '#sk47') 53.68/8.49 | ('#form35'))), 53.68/8.49 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl140])). 53.68/8.49 thf(zip_derived_cl168, plain, 53.68/8.49 (![X2 : a > $o]: 53.68/8.49 ( ((((('#sk1' @ ('#sk180' @ X2) @ ('#sk213' @ X2)) | ('#sk2' @ 53.68/8.49 ('#sk180' @ X2) @ ('#sk213' @ X2)))) & 53.68/8.49 (X2 @ ('#sk180' @ X2)))) 53.68/8.49 | ('#form35') 53.68/8.49 | (X2 @ '#sk47') 53.68/8.49 | ('#sk1' @ '#sk36' @ ('#sk139' @ X2)) 53.68/8.49 | ('#sk2' @ '#sk36' @ ('#sk139' @ X2)))), 53.68/8.49 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl151])). 53.68/8.49 thf(zip_derived_cl183, plain, 53.68/8.49 (![X2 : a > $o]: 53.68/8.49 ( (X2 @ ('#sk180' @ X2)) 53.68/8.49 | ('#sk2' @ '#sk36' @ ('#sk139' @ X2)) 53.68/8.49 | ('#sk1' @ '#sk36' @ ('#sk139' @ X2)) 53.68/8.49 | (X2 @ '#sk47') 53.68/8.49 | ('#form35'))), 53.68/8.49 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl168])). 53.68/8.49 thf(zip_derived_cl119, plain, 53.68/8.49 (![X2 : a]: (~ ('#sk2' @ '#sk36' @ X2) | ('#form35') | ('#sk90' @ X2))), 53.68/8.49 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl108])). 53.68/8.49 thf(zip_derived_cl136, plain, 53.68/8.49 (![X2 : a, X4 : a]: 53.68/8.49 (~ ('#sk1' @ X2 @ X4) 53.68/8.49 | ('#sk89' @ X4) 53.68/8.49 | ('#form45') 53.68/8.49 | ~ ('#sk89' @ X2))), 53.68/8.49 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl126])). 53.68/8.49 thf(zip_derived_cl169, plain, 53.68/8.49 (![X2 : a > $o]: 53.68/8.49 (~ (X2 @ ('#sk213' @ X2)) 53.68/8.49 | ('#form35') 53.68/8.49 | (X2 @ '#sk47') 53.68/8.49 | ('#sk1' @ '#sk36' @ ('#sk139' @ X2)) 53.68/8.49 | ('#sk2' @ '#sk36' @ ('#sk139' @ X2)))), 53.68/8.49 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl151])). 53.68/8.49 thf(zip_derived_cl182, plain, 53.68/8.49 (![X2 : a > $o]: 53.68/8.49 ( ((('#sk1' @ ('#sk180' @ X2) @ ('#sk213' @ X2)) | ('#sk2' @ 53.68/8.49 ('#sk180' @ X2) @ ('#sk213' @ X2)))) 53.68/8.49 | ('#sk2' @ '#sk36' @ ('#sk139' @ X2)) 53.68/8.49 | ('#sk1' @ '#sk36' @ ('#sk139' @ X2)) 53.68/8.49 | (X2 @ '#sk47') 53.68/8.49 | ('#form35'))), 53.68/8.49 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl168])). 53.68/8.49 thf(zip_derived_cl185, plain, 53.68/8.49 (![X2 : a > $o]: 53.68/8.49 ( ('#sk1' @ ('#sk180' @ X2) @ ('#sk213' @ X2)) 53.68/8.49 | ('#sk2' @ ('#sk180' @ X2) @ ('#sk213' @ X2)) 53.68/8.49 | ('#form35') 53.68/8.49 | (X2 @ '#sk47') 53.68/8.49 | ('#sk1' @ '#sk36' @ ('#sk139' @ X2)) 53.68/8.49 | ('#sk2' @ '#sk36' @ ('#sk139' @ X2)))), 53.68/8.49 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl182])). 53.68/8.49 thf(zip_derived_cl93, plain, 53.68/8.49 (( (((!!) @ (^[Y0 : a]: 53.68/8.49 (((!!) @ (^[Y1 : a]: 53.68/8.49 ((((((('#sk1' @ Y0 @ Y1) | ('#sk2' @ Y0 @ Y1))) & 53.68/8.49 ('#sk90' @ Y0))) => 53.68/8.49 ('#sk90' @ Y1))))))))) 53.68/8.49 | ('#form35'))), 53.68/8.49 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl80])). 53.68/8.49 thf(zip_derived_cl101, plain, 53.68/8.49 (![X2 : a]: 53.68/8.49 ( (((!!) @ (^[Y0 : a]: 53.68/8.49 ((((((('#sk1' @ X2 @ Y0) | ('#sk2' @ X2 @ Y0))) & 53.68/8.49 ('#sk90' @ X2))) => 53.68/8.49 ('#sk90' @ Y0)))))) 53.68/8.49 | ('#form35'))), 53.68/8.49 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl93])). 53.68/8.49 thf(zip_derived_cl109, plain, 53.68/8.49 (![X2 : a, X4 : a]: 53.68/8.49 ( ((((((('#sk1' @ X2 @ X4) | ('#sk2' @ X2 @ X4))) & ('#sk90' @ X2))) => 53.68/8.49 ('#sk90' @ X4))) 53.68/8.49 | ('#form35'))), 53.68/8.49 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl101])). 53.68/8.49 thf(zip_derived_cl121, plain, 53.68/8.49 (![X2 : a, X4 : a]: 53.68/8.49 (~ ((((('#sk1' @ X2 @ X4) | ('#sk2' @ X2 @ X4))) & ('#sk90' @ X2))) 53.68/8.49 | ('#sk90' @ X4) 53.68/8.49 | ('#form35'))), 53.68/8.49 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl109])). 53.68/8.49 thf(zip_derived_cl131, plain, 53.68/8.49 (![X2 : a, X4 : a]: 53.68/8.49 (~ ((('#sk1' @ X2 @ X4) | ('#sk2' @ X2 @ X4))) 53.68/8.49 | ~ ('#sk90' @ X2) 53.68/8.49 | ('#form35') 53.68/8.49 | ('#sk90' @ X4))), 53.68/8.49 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl121])). 53.68/8.49 thf(zip_derived_cl142, plain, 53.68/8.49 (![X2 : a, X4 : a]: 53.68/8.49 (~ ('#sk1' @ X2 @ X4) 53.68/8.49 | ('#sk90' @ X4) 53.68/8.49 | ('#form35') 53.68/8.49 | ~ ('#sk90' @ X2))), 53.68/8.49 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl131])). 53.68/8.49 thf(zip_derived_cl143, plain, 53.68/8.49 (![X2 : a, X4 : a]: 53.68/8.49 (~ ('#sk2' @ X2 @ X4) 53.68/8.49 | ('#sk90' @ X4) 53.68/8.49 | ('#form35') 53.68/8.49 | ~ ('#sk90' @ X2))), 53.68/8.49 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl131])). 53.68/8.49 thf(zip_derived_cl3859, plain, ($false), 53.68/8.49 inference('eprover', [status(thm)], 53.68/8.49 [zip_derived_cl34, zip_derived_cl33, zip_derived_cl213, 53.68/8.49 zip_derived_cl261, zip_derived_cl263, zip_derived_cl214, 53.68/8.49 zip_derived_cl161, zip_derived_cl179, zip_derived_cl113, 53.68/8.49 zip_derived_cl178, zip_derived_cl65, zip_derived_cl54, 53.68/8.49 zip_derived_cl71, zip_derived_cl24, zip_derived_cl25, 53.68/8.49 zip_derived_cl165, zip_derived_cl181, zip_derived_cl159, 53.68/8.49 zip_derived_cl265, zip_derived_cl177, zip_derived_cl137, 53.68/8.49 zip_derived_cl264, zip_derived_cl176, zip_derived_cl410, 53.68/8.49 zip_derived_cl414, zip_derived_cl413, zip_derived_cl412, 53.68/8.49 zip_derived_cl411, zip_derived_cl153, zip_derived_cl171, 53.68/8.49 zip_derived_cl184, zip_derived_cl408, zip_derived_cl114, 53.68/8.49 zip_derived_cl120, zip_derived_cl183, zip_derived_cl119, 53.68/8.49 zip_derived_cl136, zip_derived_cl169, zip_derived_cl185, 53.68/8.49 zip_derived_cl142, zip_derived_cl143])). 53.68/8.49 53.68/8.49 % SZS output end Refutation 53.68/8.49 53.68/8.49 53.68/8.49 % /export/starexec/sandbox2/solver/bin/lams/30_b.l.sh running for 90s 53.68/8.49 % Terminating... 1.36/8.59 % Runner terminated. 1.36/8.66 % Zipperpin 1.5 exiting 1.36/8.68 EOF