0.00/0.11 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.11/0.12 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.Lp1XKLEcZu true 0.12/0.33 % Computer : n031.cluster.edu 0.12/0.33 % Model : x86_64 x86_64 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.12/0.33 % Memory : 8042.1875MB 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64 0.12/0.33 % CPULimit : 1200 0.12/0.33 % WCLimit : 120 0.12/0.33 % DateTime : Tue Jul 13 12:04:44 EDT 2021 0.12/0.33 % CPUTime : 0.12/0.33 % Running portfolio for 120 s 0.12/0.33 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p 0.12/0.34 % Number of cores: 8 0.12/0.34 % Python version: Python 3.6.8 0.12/0.34 % Running in HO mode 0.54/0.66 % Total configuration time : 828 0.54/0.66 % Estimated wc time : 983 0.54/0.66 % Estimated cpu time (8 cpus) : 122.875 0.54/0.72 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 47s 0.54/0.72 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 47s 0.54/0.72 % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 18s 0.54/0.72 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 47s 0.54/0.73 % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 41s 0.54/0.73 % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 53s 0.54/0.74 % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 35s 0.54/0.75 % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 24s 29.24/4.70 % Solved by lams/20_acsne_simpl.sh. 29.24/4.70 % running E: timeout 13 /export/starexec/sandbox2/solver/bin/lams/eprover-ho --pos-ext=all --neg-ext=all /export/starexec/sandbox2/tmp/tmp.Lp1XKLEcZu/e_input8bb76b --cpu-limit=11 --auto -s -p 29.24/4.70 % done 310 iterations in 3.716s 29.24/4.70 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p' 29.24/4.70 % SZS output start Refutation 29.24/4.70 thf(a_type, type, a: $tType). 29.24/4.70 thf('#sk15_type', type, '#sk15': (a > $o) > a). 29.24/4.70 thf('#sk5_type', type, '#sk5': a > $o). 29.24/4.70 thf('#form81_type', type, '#form81': $o). 29.24/4.70 thf('#form161_type', type, '#form161': (a > $o) > $o). 29.24/4.70 thf('#sk141_type', type, '#sk141': (a > $o) > a). 29.24/4.70 thf('#sk4_type', type, '#sk4': a). 29.24/4.70 thf('#sk36_type', type, '#sk36': a). 29.24/4.70 thf('#sk77_type', type, '#sk77': a > $o). 29.24/4.70 thf('#sk3_type', type, '#sk3': a). 29.24/4.70 thf('#sk55_type', type, '#sk55': a > $o). 29.24/4.70 thf('#sk63_type', type, '#sk63': (a > $o) > a). 29.24/4.70 thf('#sk191_type', type, '#sk191': (a > $o) > a). 29.24/4.70 thf('#sk35_type', type, '#sk35': a). 29.24/4.70 thf('#sk137_type', type, '#sk137': (a > $o) > a). 29.24/4.70 thf('#form25_type', type, '#form25': $o). 29.24/4.70 thf('#sk171_type', type, '#sk171': (a > $o) > a). 29.24/4.70 thf('#form34_type', type, '#form34': $o). 29.24/4.70 thf('#sk44_type', type, '#sk44': a). 29.24/4.70 thf('#sk54_type', type, '#sk54': a). 29.24/4.70 thf('#sk204_type', type, '#sk204': (a > $o) > a). 29.24/4.70 thf('#form48_type', type, '#form48': (a > $o) > $o). 29.24/4.70 thf('#sk2_type', type, '#sk2': a > a > $o). 29.24/4.70 thf('#sk26_type', type, '#sk26': a). 29.24/4.70 thf('#sk49_type', type, '#sk49': (a > $o) > a). 29.24/4.70 thf('#sk1_type', type, '#sk1': a > a > $o). 29.24/4.70 thf('#sk146_type', type, '#sk146': (a > $o) > a). 29.24/4.70 thf('#sk162_type', type, '#sk162': (a > $o) > a). 29.24/4.70 thf('#sk129_type', type, '#sk129': (a > $o) > a). 29.24/4.70 thf('#sk199_type', type, '#sk199': (a > $o) > a). 29.24/4.70 thf('#form198_type', type, '#form198': (a > $o) > $o). 29.24/4.70 thf('#sk133_type', type, '#sk133': (a > $o) > a). 29.24/4.70 thf(cTHM251H_pme, conjecture, 29.24/4.70 (![R:( a > a > $o ),S:( a > a > $o ),Xx:a,Xy:a]: 29.24/4.70 ( ( ![Xq:( a > $o )]: 29.24/4.70 ( ( ( ![Xw:a]: 29.24/4.70 ( ( ( S @ Xx @ Xw ) | ( R @ Xx @ Xw ) ) => ( Xq @ Xw ) ) ) & 29.24/4.70 ( ![Xu:a,Xv:a]: 29.24/4.70 ( ( ( Xq @ Xu ) & ( ( S @ Xu @ Xv ) | ( R @ Xu @ Xv ) ) ) => 29.24/4.70 ( Xq @ Xv ) ) ) ) => 29.24/4.70 ( Xq @ Xy ) ) ) | 29.24/4.70 ( ( ~( ![Xq:( a > $o )]: 29.24/4.70 ( ( ( ![Xw:a]: 29.24/4.70 ( ( ( S @ Xx @ Xw ) | ( R @ Xx @ Xw ) ) => ( Xq @ Xw ) ) ) & 29.24/4.70 ( ![Xu:a,Xv:a]: 29.24/4.70 ( ( ( Xq @ Xu ) & ( ( R @ Xu @ Xv ) | ( S @ Xu @ Xv ) ) ) => 29.24/4.70 ( Xq @ Xv ) ) ) ) => 29.24/4.70 ( Xq @ Xy ) ) ) ) & 29.24/4.70 ( ![Xx0:a,Xy0:a,Xz:a]: 29.24/4.70 ( ( ( ![Xq:( a > $o )]: 29.24/4.70 ( ( ( ![Xw:a]: 29.24/4.70 ( ( ( S @ Xx0 @ Xw ) | ( R @ Xx0 @ Xw ) ) => ( Xq @ Xw ) ) ) & 29.24/4.70 ( ![Xu:a,Xv:a]: 29.24/4.70 ( ( ( Xq @ Xu ) & ( ( S @ Xu @ Xv ) | ( R @ Xu @ Xv ) ) ) => 29.24/4.70 ( Xq @ Xv ) ) ) ) => 29.24/4.70 ( Xq @ Xy0 ) ) ) & 29.24/4.70 ( ![Xq:( a > $o )]: 29.24/4.70 ( ( ( ![Xw:a]: 29.24/4.70 ( ( ( R @ Xy0 @ Xw ) | ( S @ Xy0 @ Xw ) ) => ( Xq @ Xw ) ) ) & 29.24/4.70 ( ![Xu:a,Xv:a]: 29.24/4.70 ( ( ( Xq @ Xu ) & ( ( S @ Xu @ Xv ) | ( R @ Xu @ Xv ) ) ) => 29.24/4.70 ( Xq @ Xv ) ) ) ) => 29.24/4.70 ( Xq @ Xz ) ) ) ) => 29.24/4.70 ( ![Xq:( a > $o )]: 29.24/4.70 ( ( ( ![Xu:a,Xv:a]: 29.24/4.70 ( ( ( Xq @ Xu ) & ( ( S @ Xu @ Xv ) | ( R @ Xu @ Xv ) ) ) => 29.24/4.70 ( Xq @ Xv ) ) ) & 29.24/4.70 ( ![Xw:a]: 29.24/4.70 ( ( ( S @ Xx0 @ Xw ) | ( R @ Xx0 @ Xw ) ) => ( Xq @ Xw ) ) ) ) => 29.24/4.70 ( Xq @ Xz ) ) ) ) ) & 29.24/4.70 ( ![Xx0:a,Xy0:a]: 29.24/4.70 ( ( ( ![Xq:( a > $o )]: 29.24/4.70 ( ( ( ![Xu:a,Xv:a]: 29.24/4.70 ( ( ( R @ Xu @ Xv ) & ( Xq @ Xu ) ) => ( Xq @ Xv ) ) ) & 29.24/4.70 ( ![Xw:a]: ( ( R @ Xx0 @ Xw ) => ( Xq @ Xw ) ) ) ) => 29.24/4.70 ( Xq @ Xy0 ) ) ) | 29.24/4.70 ( ![Xq:( a > $o )]: 29.24/4.70 ( ( ( ![Xw:a]: ( ( S @ Xx0 @ Xw ) => ( Xq @ Xw ) ) ) & 29.24/4.70 ( ![Xu:a,Xv:a]: 29.24/4.70 ( ( ( Xq @ Xu ) & ( S @ Xu @ Xv ) ) => ( Xq @ Xv ) ) ) ) => 29.24/4.70 ( Xq @ Xy0 ) ) ) ) => 29.24/4.70 ( ![Xq:( a > $o )]: 29.24/4.70 ( ( ( ![Xu:a,Xv:a]: 29.24/4.70 ( ( ( Xq @ Xu ) & ( ( S @ Xu @ Xv ) | ( R @ Xu @ Xv ) ) ) => 29.24/4.70 ( Xq @ Xv ) ) ) & 29.24/4.70 ( ![Xw:a]: 29.24/4.70 ( ( ( R @ Xx0 @ Xw ) | ( S @ Xx0 @ Xw ) ) => ( Xq @ Xw ) ) ) ) => 29.24/4.70 ( Xq @ Xy0 ) ) ) ) ) ) ))). 29.24/4.70 thf(zf_stmt_0, negated_conjecture, 29.24/4.70 (~( ![R:( a > a > $o ),S:( a > a > $o ),Xx:a,Xy:a]: 29.24/4.70 ( ( ![Xq:( a > $o )]: 29.24/4.70 ( ( ( ![Xw:a]: 29.24/4.70 ( ( ( S @ Xx @ Xw ) | ( R @ Xx @ Xw ) ) => ( Xq @ Xw ) ) ) & 29.24/4.70 ( ![Xu:a,Xv:a]: 29.24/4.70 ( ( ( Xq @ Xu ) & ( ( S @ Xu @ Xv ) | ( R @ Xu @ Xv ) ) ) => 29.24/4.70 ( Xq @ Xv ) ) ) ) => 29.24/4.70 ( Xq @ Xy ) ) ) | 29.24/4.70 ( ( ~( ![Xq:( a > $o )]: 29.24/4.70 ( ( ( ![Xw:a]: 29.24/4.70 ( ( ( S @ Xx @ Xw ) | ( R @ Xx @ Xw ) ) => ( Xq @ Xw ) ) ) & 29.24/4.70 ( ![Xu:a,Xv:a]: 29.24/4.70 ( ( ( Xq @ Xu ) & ( ( R @ Xu @ Xv ) | ( S @ Xu @ Xv ) ) ) => 29.24/4.70 ( Xq @ Xv ) ) ) ) => 29.24/4.70 ( Xq @ Xy ) ) ) ) & 29.24/4.70 ( ![Xx0:a,Xy0:a,Xz:a]: 29.24/4.70 ( ( ( ![Xq:( a > $o )]: 29.24/4.70 ( ( ( ![Xw:a]: 29.24/4.70 ( ( ( S @ Xx0 @ Xw ) | ( R @ Xx0 @ Xw ) ) => 29.24/4.70 ( Xq @ Xw ) ) ) & 29.24/4.70 ( ![Xu:a,Xv:a]: 29.24/4.70 ( ( ( Xq @ Xu ) & 29.24/4.70 ( ( S @ Xu @ Xv ) | ( R @ Xu @ Xv ) ) ) => 29.24/4.70 ( Xq @ Xv ) ) ) ) => 29.24/4.70 ( Xq @ Xy0 ) ) ) & 29.24/4.70 ( ![Xq:( a > $o )]: 29.24/4.70 ( ( ( ![Xw:a]: 29.24/4.70 ( ( ( R @ Xy0 @ Xw ) | ( S @ Xy0 @ Xw ) ) => 29.24/4.70 ( Xq @ Xw ) ) ) & 29.24/4.70 ( ![Xu:a,Xv:a]: 29.24/4.70 ( ( ( Xq @ Xu ) & 29.24/4.70 ( ( S @ Xu @ Xv ) | ( R @ Xu @ Xv ) ) ) => 29.24/4.70 ( Xq @ Xv ) ) ) ) => 29.24/4.70 ( Xq @ Xz ) ) ) ) => 29.24/4.70 ( ![Xq:( a > $o )]: 29.24/4.70 ( ( ( ![Xu:a,Xv:a]: 29.24/4.70 ( ( ( Xq @ Xu ) & ( ( S @ Xu @ Xv ) | ( R @ Xu @ Xv ) ) ) => 29.24/4.70 ( Xq @ Xv ) ) ) & 29.24/4.70 ( ![Xw:a]: 29.24/4.70 ( ( ( S @ Xx0 @ Xw ) | ( R @ Xx0 @ Xw ) ) => 29.24/4.70 ( Xq @ Xw ) ) ) ) => 29.24/4.70 ( Xq @ Xz ) ) ) ) ) & 29.24/4.70 ( ![Xx0:a,Xy0:a]: 29.24/4.70 ( ( ( ![Xq:( a > $o )]: 29.24/4.70 ( ( ( ![Xu:a,Xv:a]: 29.24/4.70 ( ( ( R @ Xu @ Xv ) & ( Xq @ Xu ) ) => ( Xq @ Xv ) ) ) & 29.24/4.70 ( ![Xw:a]: ( ( R @ Xx0 @ Xw ) => ( Xq @ Xw ) ) ) ) => 29.24/4.70 ( Xq @ Xy0 ) ) ) | 29.24/4.70 ( ![Xq:( a > $o )]: 29.24/4.70 ( ( ( ![Xw:a]: ( ( S @ Xx0 @ Xw ) => ( Xq @ Xw ) ) ) & 29.24/4.70 ( ![Xu:a,Xv:a]: 29.24/4.70 ( ( ( Xq @ Xu ) & ( S @ Xu @ Xv ) ) => ( Xq @ Xv ) ) ) ) => 29.24/4.70 ( Xq @ Xy0 ) ) ) ) => 29.24/4.70 ( ![Xq:( a > $o )]: 29.24/4.70 ( ( ( ![Xu:a,Xv:a]: 29.24/4.70 ( ( ( Xq @ Xu ) & ( ( S @ Xu @ Xv ) | ( R @ Xu @ Xv ) ) ) => 29.24/4.70 ( Xq @ Xv ) ) ) & 29.24/4.70 ( ![Xw:a]: 29.24/4.70 ( ( ( R @ Xx0 @ Xw ) | ( S @ Xx0 @ Xw ) ) => 29.24/4.70 ( Xq @ Xw ) ) ) ) => 29.24/4.70 ( Xq @ Xy0 ) ) ) ) ) ) ) )), 29.24/4.70 inference('cnf.neg', [status(esa)], [cTHM251H_pme])). 29.24/4.70 thf(zip_derived_cl0, plain, 29.24/4.70 (~ (((!!) @ (^[Y0 : a > a > $o]: 29.24/4.70 (((!!) @ (^[Y1 : a > a > $o]: 29.24/4.70 (((!!) @ (^[Y2 : a]: 29.24/4.70 (((!!) @ (^[Y3 : a]: 29.24/4.70 (((((!!) @ (^[Y4 : a > $o]: 29.24/4.70 (( 29.24/4.70 (( 29.24/4.70 (( 29.24/4.70 (!!) @ ( 29.24/4.70 ^[Y5 : a]: 29.24/4.70 (( 29.24/4.70 (( 29.24/4.70 (Y1 @ 29.24/4.70 Y2 @ 29.24/4.70 Y5) | 29.24/4.70 (Y0 @ 29.24/4.70 Y2 @ Y5))) => 29.24/4.70 (Y4 @ Y5)))))) & 29.24/4.70 (( 29.24/4.70 (!!) @ ( 29.24/4.70 ^[Y5 : a]: 29.24/4.70 (( 29.24/4.70 (!!) @ ( 29.24/4.70 ^[Y6 : a]: 29.24/4.70 (( 29.24/4.70 (( 29.24/4.70 (Y4 @ 29.24/4.70 Y5) & 29.24/4.70 (( 29.24/4.70 (Y1 @ 29.24/4.70 Y5 @ 29.24/4.70 Y6) | 29.24/4.70 (Y0 @ 29.24/4.70 Y5 @ Y6))))) => 29.24/4.70 (Y4 @ Y6))))))))))) => 29.24/4.70 (Y4 @ Y3)))))) | 29.24/4.70 (((((~) @ (( 29.24/4.70 (!!) @ ( 29.24/4.70 ^[Y4 : a > $o]: 29.24/4.70 (( 29.24/4.70 (( 29.24/4.70 (( 29.24/4.70 (!!) @ ( 29.24/4.70 ^[Y5 : a]: 29.24/4.70 (( 29.24/4.70 (( 29.24/4.70 (Y1 @ 29.24/4.70 Y2 @ 29.24/4.70 Y5) | 29.24/4.70 (Y0 @ 29.24/4.70 Y2 @ Y5))) => 29.24/4.70 (Y4 @ Y5)))))) & 29.24/4.70 (( 29.24/4.70 (!!) @ ( 29.24/4.70 ^[Y5 : a]: 29.24/4.70 (( 29.24/4.70 (!!) @ ( 29.24/4.70 ^[Y6 : a]: 29.24/4.70 (( 29.24/4.70 (( 29.24/4.70 (Y4 @ 29.24/4.70 Y5) & 29.24/4.70 (( 29.24/4.70 (Y0 @ 29.24/4.70 Y5 @ 29.24/4.70 Y6) | 29.24/4.70 (Y1 @ 29.24/4.70 Y5 @ Y6))))) => 29.24/4.70 (Y4 @ Y6))))))))))) => 29.24/4.70 (Y4 @ Y3)))))))) & 29.24/4.70 (((!!) @ ( 29.24/4.70 ^[Y4 : a]: 29.24/4.70 (((!!) @ ( 29.24/4.70 ^[Y5 : a]: 29.24/4.70 (( 29.24/4.70 (!!) @ ( 29.24/4.70 ^[Y6 : a]: 29.24/4.70 (( 29.24/4.70 (( 29.24/4.70 (( 29.24/4.70 (!!) @ ( 29.24/4.70 ^[Y7 : a > $o]: 29.24/4.70 (( 29.24/4.70 (( 29.24/4.70 (( 29.24/4.70 (!!) @ ( 29.24/4.70 ^[Y8 : a]: 29.24/4.70 (( 29.24/4.70 (( 29.24/4.70 (Y1 @ 29.24/4.70 Y4 @ 29.24/4.70 Y8) | 29.24/4.70 (Y0 @ 29.24/4.70 Y4 @ Y8))) => 29.24/4.70 (Y7 @ Y8)))))) & 29.24/4.70 (( 29.24/4.70 (!!) @ ( 29.24/4.70 ^[Y8 : a]: 29.24/4.70 (( 29.24/4.70 (!!) @ ( 29.24/4.70 ^[Y9 : a]: 29.24/4.70 (( 29.24/4.70 (( 29.24/4.70 (Y7 @ 29.24/4.70 Y8) & 29.24/4.70 (( 29.24/4.70 (Y1 @ 29.24/4.70 Y8 @ 29.24/4.70 Y9) | 29.24/4.70 (Y0 @ 29.24/4.70 Y8 @ Y9))))) => 29.24/4.70 (Y7 @ Y9))))))))))) => 29.24/4.70 (Y7 @ Y5)))))) & 29.24/4.70 (( 29.24/4.70 (!!) @ ( 29.24/4.70 ^[Y7 : a > $o]: 29.24/4.70 (( 29.24/4.70 (( 29.24/4.70 (( 29.24/4.70 (!!) @ ( 29.24/4.70 ^[Y8 : a]: 29.24/4.70 (( 29.24/4.70 (( 29.24/4.70 (Y0 @ 29.24/4.70 Y5 @ 29.24/4.70 Y8) | 29.24/4.70 (Y1 @ 29.24/4.70 Y5 @ Y8))) => 29.24/4.70 (Y7 @ Y8)))))) & 29.24/4.70 (( 29.24/4.70 (!!) @ ( 29.24/4.70 ^[Y8 : a]: 29.24/4.70 (( 29.24/4.70 (!!) @ ( 29.24/4.70 ^[Y9 : a]: 29.24/4.70 (( 29.24/4.70 (( 29.24/4.70 (Y7 @ 29.24/4.70 Y8) & 29.24/4.70 (( 29.24/4.70 (Y1 @ 29.24/4.70 Y8 @ 29.24/4.70 Y9) | 29.24/4.70 (Y0 @ 29.24/4.70 Y8 @ Y9))))) => 29.24/4.70 (Y7 @ Y9))))))))))) => 29.24/4.70 (Y7 @ Y6)))))))) => 29.24/4.70 (( 29.24/4.70 (!!) @ ( 29.24/4.70 ^[Y7 : a > $o]: 29.24/4.70 (( 29.24/4.70 (( 29.24/4.70 (( 29.24/4.70 (!!) @ ( 29.24/4.70 ^[Y8 : a]: 29.24/4.70 (( 29.24/4.70 (!!) @ ( 29.24/4.70 ^[Y9 : a]: 29.24/4.70 (( 29.24/4.70 (( 29.24/4.70 (Y7 @ 29.24/4.70 Y8) & 29.24/4.70 (( 29.24/4.70 (Y1 @ 29.24/4.70 Y8 @ 29.24/4.70 Y9) | 29.24/4.70 (Y0 @ 29.24/4.70 Y8 @ Y9))))) => 29.24/4.70 (Y7 @ Y9))))))))) & 29.24/4.70 (( 29.24/4.70 (!!) @ ( 29.24/4.70 ^[Y8 : a]: 29.24/4.70 (( 29.24/4.70 (( 29.24/4.70 (Y1 @ 29.24/4.70 Y4 @ 29.24/4.70 Y8) | 29.24/4.70 (Y0 @ 29.24/4.70 Y4 @ Y8))) => 29.24/4.70 (Y7 @ Y8)))))))) => 29.24/4.70 (Y7 @ Y6))))))))))))))))) & 29.24/4.70 (((!!) @ ( 29.24/4.70 ^[Y4 : a]: 29.24/4.70 (((!!) @ ( 29.24/4.70 ^[Y5 : a]: 29.24/4.70 (( 29.24/4.70 (( 29.24/4.70 (( 29.24/4.70 (!!) @ ( 29.24/4.70 ^[Y6 : a > $o]: 29.24/4.70 (( 29.24/4.70 (( 29.24/4.70 (( 29.24/4.70 (!!) @ ( 29.24/4.70 ^[Y7 : a]: 29.24/4.70 (( 29.24/4.70 (!!) @ ( 29.24/4.70 ^[Y8 : a]: 29.24/4.70 (( 29.24/4.70 (( 29.24/4.70 (Y0 @ 29.24/4.70 Y7 @ 29.24/4.70 Y8) & 29.24/4.70 (Y6 @ Y7))) => 29.24/4.70 (Y6 @ Y8))))))))) & 29.24/4.70 (( 29.24/4.70 (!!) @ ( 29.24/4.70 ^[Y7 : a]: 29.24/4.70 (( 29.24/4.70 (Y0 @ 29.24/4.70 Y4 @ 29.24/4.70 Y7) => 29.24/4.70 (Y6 @ Y7)))))))) => 29.24/4.70 (Y6 @ Y5)))))) | 29.24/4.70 (( 29.24/4.70 (!!) @ ( 29.24/4.70 ^[Y6 : a > $o]: 29.24/4.70 (( 29.24/4.70 (( 29.24/4.70 (( 29.24/4.70 (!!) @ ( 29.24/4.70 ^[Y7 : a]: 29.24/4.70 (( 29.24/4.70 (Y1 @ 29.24/4.70 Y4 @ 29.24/4.70 Y7) => 29.24/4.70 (Y6 @ Y7)))))) & 29.24/4.70 (( 29.24/4.70 (!!) @ ( 29.24/4.70 ^[Y7 : a]: 29.24/4.70 (( 29.24/4.70 (!!) @ ( 29.24/4.70 ^[Y8 : a]: 29.24/4.70 (( 29.24/4.70 (( 29.24/4.70 (Y6 @ 29.24/4.70 Y7) & 29.24/4.70 (Y1 @ 29.24/4.70 Y7 @ Y8))) => 29.24/4.70 (Y6 @ Y8))))))))))) => 29.24/4.70 (Y6 @ Y5)))))))) => 29.24/4.70 (( 29.24/4.70 (!!) @ ( 29.24/4.70 ^[Y6 : a > $o]: 29.24/4.70 (( 29.24/4.70 (( 29.24/4.70 (( 29.24/4.70 (!!) @ ( 29.24/4.70 ^[Y7 : a]: 29.24/4.70 (( 29.24/4.70 (!!) @ ( 29.24/4.70 ^[Y8 : a]: 29.24/4.70 (( 29.24/4.70 (( 29.24/4.70 (Y6 @ 29.24/4.70 Y7) & 29.24/4.70 (( 29.24/4.70 (Y1 @ 29.24/4.70 Y7 @ 29.24/4.70 Y8) | 29.24/4.70 (Y0 @ 29.24/4.70 Y7 @ Y8))))) => 29.24/4.70 (Y6 @ Y8))))))))) & 29.24/4.70 (( 29.24/4.70 (!!) @ ( 29.24/4.70 ^[Y7 : a]: 29.24/4.70 (( 29.24/4.70 (( 29.24/4.70 (Y0 @ 29.24/4.70 Y4 @ 29.24/4.70 Y7) | 29.24/4.70 (Y1 @ 29.24/4.70 Y4 @ Y7))) => 29.24/4.70 (Y6 @ Y7)))))))) => 29.24/4.70 (Y6 @ Y5))))))))))))))))))))))))))))))), 29.24/4.70 inference('cnf', [status(esa)], [zf_stmt_0])). 29.24/4.70 thf(zip_derived_cl1, plain, 29.24/4.70 (~ (((!!) @ (^[Y0 : a > a > $o]: 29.24/4.70 (((!!) @ (^[Y1 : a]: 29.24/4.70 (((!!) @ (^[Y2 : a]: 29.24/4.70 (((((!!) @ (^[Y3 : a > $o]: 29.24/4.70 (((((((!!) @ ( 29.24/4.70 ^[Y4 : a]: 29.24/4.70 (((( 29.24/4.70 (Y0 @ 29.24/4.70 Y1 @ Y4) | 29.24/4.70 ('#sk1' @ 29.24/4.70 Y1 @ Y4))) => 29.24/4.70 (Y3 @ Y4)))))) & 29.24/4.70 (((!!) @ ( 29.24/4.70 ^[Y4 : a]: 29.24/4.70 (((!!) @ ( 29.24/4.70 ^[Y5 : a]: 29.24/4.70 (( 29.24/4.70 (( 29.24/4.70 (Y3 @ 29.24/4.70 Y4) & 29.24/4.70 (( 29.24/4.70 (Y0 @ 29.24/4.70 Y4 @ 29.24/4.70 Y5) | 29.24/4.70 ('#sk1' @ 29.24/4.70 Y4 @ Y5))))) => 29.24/4.70 (Y3 @ Y5))))))))))) => 29.24/4.70 (Y3 @ Y2)))))) | 29.24/4.70 (((((~) @ (((!!) @ (^[Y3 : a > $o]: 29.24/4.70 (( 29.24/4.70 (( 29.24/4.70 (( 29.24/4.70 (!!) @ ( 29.24/4.70 ^[Y4 : a]: 29.24/4.70 (( 29.24/4.70 (( 29.24/4.70 (Y0 @ 29.24/4.70 Y1 @ 29.24/4.70 Y4) | 29.24/4.70 ('#sk1' @ 29.24/4.70 Y1 @ Y4))) => 29.24/4.70 (Y3 @ Y4)))))) & 29.24/4.70 (( 29.24/4.70 (!!) @ ( 29.24/4.70 ^[Y4 : a]: 29.24/4.70 (( 29.24/4.70 (!!) @ ( 29.24/4.70 ^[Y5 : a]: 29.24/4.70 (( 29.24/4.70 (( 29.24/4.70 (Y3 @ 29.24/4.70 Y4) & 29.24/4.70 (( 29.24/4.70 ('#sk1' @ 29.24/4.70 Y4 @ 29.24/4.70 Y5) | 29.24/4.70 (Y0 @ 29.24/4.70 Y4 @ Y5))))) => 29.24/4.70 (Y3 @ Y5))))))))))) => 29.24/4.70 (Y3 @ Y2)))))))) & 29.24/4.70 (((!!) @ (^[Y3 : a]: 29.24/4.70 (((!!) @ ( 29.24/4.70 ^[Y4 : a]: 29.24/4.70 (((!!) @ ( 29.24/4.70 ^[Y5 : a]: 29.24/4.70 (( 29.24/4.70 (( 29.24/4.70 (( 29.24/4.70 (!!) @ ( 29.24/4.70 ^[Y6 : a > $o]: 29.24/4.70 (( 29.24/4.70 (( 29.24/4.70 (( 29.24/4.70 (!!) @ ( 29.24/4.70 ^[Y7 : a]: 29.24/4.70 (( 29.24/4.70 (( 29.24/4.70 (Y0 @ 29.24/4.70 Y3 @ 29.24/4.70 Y7) | 29.24/4.70 ('#sk1' @ 29.24/4.70 Y3 @ Y7))) => 29.24/4.70 (Y6 @ Y7)))))) & 29.24/4.70 (( 29.24/4.70 (!!) @ ( 29.24/4.70 ^[Y7 : a]: 29.24/4.70 (( 29.24/4.70 (!!) @ ( 29.24/4.70 ^[Y8 : a]: 29.24/4.70 (( 29.24/4.70 (( 29.24/4.70 (Y6 @ 29.24/4.70 Y7) & 29.24/4.70 (( 29.24/4.70 (Y0 @ 29.24/4.70 Y7 @ 29.24/4.70 Y8) | 29.24/4.70 ('#sk1' @ 29.24/4.70 Y7 @ Y8))))) => 29.24/4.70 (Y6 @ Y8))))))))))) => 29.24/4.70 (Y6 @ Y4)))))) & 29.24/4.70 (( 29.24/4.70 (!!) @ ( 29.24/4.70 ^[Y6 : a > $o]: 29.24/4.70 (( 29.24/4.70 (( 29.24/4.70 (( 29.24/4.70 (!!) @ ( 29.24/4.70 ^[Y7 : a]: 29.24/4.70 (( 29.24/4.70 (( 29.24/4.70 ('#sk1' @ 29.24/4.70 Y4 @ 29.24/4.70 Y7) | 29.24/4.70 (Y0 @ 29.24/4.70 Y4 @ Y7))) => 29.24/4.70 (Y6 @ Y7)))))) & 29.24/4.70 (( 29.24/4.70 (!!) @ ( 29.24/4.70 ^[Y7 : a]: 29.24/4.70 (( 29.24/4.70 (!!) @ ( 29.24/4.70 ^[Y8 : a]: 29.24/4.70 (( 29.24/4.70 (( 29.24/4.70 (Y6 @ 29.24/4.70 Y7) & 29.24/4.70 (( 29.24/4.70 (Y0 @ 29.24/4.70 Y7 @ 29.24/4.70 Y8) | 29.24/4.70 ('#sk1' @ 29.24/4.70 Y7 @ Y8))))) => 29.24/4.70 (Y6 @ Y8))))))))))) => 29.24/4.70 (Y6 @ Y5)))))))) => 29.24/4.70 (( 29.24/4.70 (!!) @ ( 29.24/4.70 ^[Y6 : a > $o]: 29.24/4.70 (( 29.24/4.70 (( 29.24/4.70 (( 29.24/4.70 (!!) @ ( 29.24/4.70 ^[Y7 : a]: 29.24/4.70 (( 29.24/4.70 (!!) @ ( 29.24/4.70 ^[Y8 : a]: 29.24/4.70 (( 29.24/4.70 (( 29.24/4.70 (Y6 @ 29.24/4.70 Y7) & 29.24/4.70 (( 29.24/4.70 (Y0 @ 29.24/4.70 Y7 @ 29.24/4.70 Y8) | 29.24/4.70 ('#sk1' @ 29.24/4.70 Y7 @ Y8))))) => 29.24/4.70 (Y6 @ Y8))))))))) & 29.24/4.70 (( 29.24/4.70 (!!) @ ( 29.24/4.70 ^[Y7 : a]: 29.24/4.70 (( 29.24/4.70 (( 29.24/4.70 (Y0 @ 29.24/4.70 Y3 @ 29.24/4.70 Y7) | 29.24/4.70 ('#sk1' @ 29.24/4.70 Y3 @ Y7))) => 29.24/4.70 (Y6 @ Y7)))))))) => 29.24/4.70 (Y6 @ Y5))))))))))))))))) & 29.24/4.70 (((!!) @ (^[Y3 : a]: 29.24/4.70 (((!!) @ ( 29.24/4.70 ^[Y4 : a]: 29.24/4.70 (((((( 29.24/4.70 (!!) @ ( 29.24/4.70 ^[Y5 : a > $o]: 29.24/4.70 (( 29.24/4.70 (( 29.24/4.70 (( 29.24/4.70 (!!) @ ( 29.24/4.70 ^[Y6 : a]: 29.24/4.70 (( 29.24/4.70 (!!) @ ( 29.24/4.70 ^[Y7 : a]: 29.24/4.70 (( 29.24/4.70 (( 29.24/4.70 ('#sk1' @ 29.24/4.70 Y6 @ 29.24/4.70 Y7) & 29.24/4.70 (Y5 @ Y6))) => 29.24/4.70 (Y5 @ Y7))))))))) & 29.24/4.70 (( 29.24/4.70 (!!) @ ( 29.24/4.70 ^[Y6 : a]: 29.24/4.70 (( 29.24/4.70 ('#sk1' @ 29.24/4.70 Y3 @ 29.24/4.70 Y6) => 29.24/4.70 (Y5 @ Y6)))))))) => 29.24/4.70 (Y5 @ Y4)))))) | 29.24/4.70 (( 29.24/4.70 (!!) @ ( 29.24/4.70 ^[Y5 : a > $o]: 29.24/4.70 (( 29.24/4.70 (( 29.24/4.70 (( 29.24/4.70 (!!) @ ( 29.24/4.70 ^[Y6 : a]: 29.24/4.70 (( 29.24/4.70 (Y0 @ 29.24/4.70 Y3 @ 29.24/4.70 Y6) => 29.24/4.70 (Y5 @ Y6)))))) & 29.24/4.70 (( 29.24/4.70 (!!) @ ( 29.24/4.70 ^[Y6 : a]: 29.24/4.70 (( 29.24/4.70 (!!) @ ( 29.24/4.70 ^[Y7 : a]: 29.24/4.70 (( 29.24/4.70 (( 29.24/4.70 (Y5 @ 29.24/4.70 Y6) & 29.24/4.70 (Y0 @ 29.24/4.70 Y6 @ Y7))) => 29.24/4.70 (Y5 @ Y7))))))))))) => 29.24/4.70 (Y5 @ Y4)))))))) => 29.24/4.70 (((!!) @ ( 29.24/4.70 ^[Y5 : a > $o]: 29.24/4.70 (( 29.24/4.70 (( 29.24/4.70 (( 29.24/4.70 (!!) @ ( 29.24/4.70 ^[Y6 : a]: 29.24/4.70 (( 29.24/4.70 (!!) @ ( 29.24/4.70 ^[Y7 : a]: 29.24/4.70 (( 29.24/4.70 (( 29.24/4.70 (Y5 @ 29.24/4.70 Y6) & 29.24/4.70 (( 29.24/4.70 (Y0 @ 29.24/4.70 Y6 @ 29.24/4.70 Y7) | 29.24/4.70 ('#sk1' @ 29.24/4.70 Y6 @ Y7))))) => 29.24/4.70 (Y5 @ Y7))))))))) & 29.24/4.70 (( 29.24/4.70 (!!) @ ( 29.24/4.70 ^[Y6 : a]: 29.24/4.70 (( 29.24/4.70 (( 29.24/4.70 ('#sk1' @ 29.24/4.70 Y3 @ 29.24/4.70 Y6) | 29.24/4.70 (Y0 @ 29.24/4.70 Y3 @ Y6))) => 29.24/4.70 (Y5 @ Y6)))))))) => 29.24/4.70 (Y5 @ Y4)))))))))))))))))))))))))))), 29.24/4.70 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl0])). 29.24/4.70 thf(zip_derived_cl2, plain, 29.24/4.70 (~ (((!!) @ (^[Y0 : a]: 29.24/4.70 (((!!) @ (^[Y1 : a]: 29.24/4.70 (((((!!) @ (^[Y2 : a > $o]: 29.24/4.70 (((((((!!) @ (^[Y3 : a]: 29.24/4.70 ((((('#sk2' @ 29.24/4.70 Y0 @ Y3) | 29.24/4.70 ('#sk1' @ 29.24/4.70 Y0 @ Y3))) => 29.24/4.70 (Y2 @ Y3)))))) & 29.24/4.70 (((!!) @ (^[Y3 : a]: 29.24/4.70 (((!!) @ ( 29.24/4.70 ^[Y4 : a]: 29.24/4.70 (((( 29.24/4.70 (Y2 @ 29.24/4.70 Y3) & 29.24/4.70 (( 29.24/4.70 ('#sk2' @ 29.24/4.70 Y3 @ Y4) | 29.24/4.70 ('#sk1' @ 29.24/4.70 Y3 @ Y4))))) => 29.24/4.70 (Y2 @ Y4))))))))))) => 29.24/4.70 (Y2 @ Y1)))))) | 29.24/4.70 (((((~) @ (((!!) @ (^[Y2 : a > $o]: 29.24/4.70 (((((((!!) @ ( 29.24/4.70 ^[Y3 : a]: 29.24/4.70 ((((('#sk2' @ 29.24/4.70 Y0 @ Y3) | 29.24/4.70 ('#sk1' @ 29.24/4.70 Y0 @ Y3))) => 29.24/4.70 (Y2 @ Y3)))))) & 29.24/4.70 (((!!) @ ( 29.24/4.70 ^[Y3 : a]: 29.24/4.70 (((!!) @ ( 29.24/4.70 ^[Y4 : a]: 29.24/4.70 (( 29.24/4.70 (( 29.24/4.70 (Y2 @ 29.24/4.70 Y3) & 29.24/4.70 (( 29.24/4.70 ('#sk1' @ 29.24/4.70 Y3 @ 29.24/4.70 Y4) | 29.24/4.70 ('#sk2' @ 29.24/4.70 Y3 @ Y4))))) => 29.24/4.70 (Y2 @ Y4))))))))))) => 29.24/4.70 (Y2 @ Y1)))))))) & 29.24/4.70 (((!!) @ (^[Y2 : a]: 29.24/4.70 (((!!) @ (^[Y3 : a]: 29.24/4.70 (((!!) @ ( 29.24/4.70 ^[Y4 : a]: 29.24/4.70 (((((( 29.24/4.70 (!!) @ ( 29.24/4.70 ^[Y5 : a > $o]: 29.24/4.70 (( 29.24/4.70 (( 29.24/4.70 (( 29.24/4.70 (!!) @ ( 29.24/4.70 ^[Y6 : a]: 29.24/4.70 (( 29.24/4.70 (( 29.24/4.70 ('#sk2' @ 29.24/4.70 Y2 @ 29.24/4.70 Y6) | 29.24/4.70 ('#sk1' @ 29.24/4.70 Y2 @ Y6))) => 29.24/4.70 (Y5 @ Y6)))))) & 29.24/4.70 (( 29.24/4.70 (!!) @ ( 29.24/4.70 ^[Y6 : a]: 29.24/4.70 (( 29.24/4.70 (!!) @ ( 29.24/4.70 ^[Y7 : a]: 29.24/4.70 (( 29.24/4.70 (( 29.24/4.70 (Y5 @ 29.24/4.70 Y6) & 29.24/4.70 (( 29.24/4.70 ('#sk2' @ 29.24/4.70 Y6 @ 29.24/4.70 Y7) | 29.24/4.70 ('#sk1' @ 29.24/4.70 Y6 @ Y7))))) => 29.24/4.70 (Y5 @ Y7))))))))))) => 29.24/4.70 (Y5 @ Y3)))))) & 29.24/4.70 (( 29.24/4.70 (!!) @ ( 29.24/4.70 ^[Y5 : a > $o]: 29.24/4.70 (( 29.24/4.70 (( 29.24/4.70 (( 29.24/4.70 (!!) @ ( 29.24/4.70 ^[Y6 : a]: 29.24/4.70 (( 29.24/4.70 (( 29.24/4.70 ('#sk1' @ 29.24/4.70 Y3 @ 29.24/4.70 Y6) | 29.24/4.70 ('#sk2' @ 29.24/4.70 Y3 @ Y6))) => 29.24/4.70 (Y5 @ Y6)))))) & 29.24/4.70 (( 29.24/4.70 (!!) @ ( 29.24/4.70 ^[Y6 : a]: 29.24/4.70 (( 29.24/4.70 (!!) @ ( 29.24/4.70 ^[Y7 : a]: 29.24/4.70 (( 29.24/4.70 (( 29.24/4.70 (Y5 @ 29.24/4.70 Y6) & 29.24/4.70 (( 29.24/4.70 ('#sk2' @ 29.24/4.70 Y6 @ 29.24/4.70 Y7) | 29.24/4.70 ('#sk1' @ 29.24/4.70 Y6 @ Y7))))) => 29.24/4.70 (Y5 @ Y7))))))))))) => 29.24/4.70 (Y5 @ Y4)))))))) => 29.24/4.70 (((!!) @ ( 29.24/4.70 ^[Y5 : a > 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Y6))))))))) & 29.24/4.70 (( 29.24/4.70 (!!) @ ( 29.24/4.70 ^[Y5 : a]: 29.24/4.70 (( 29.24/4.70 ('#sk1' @ 29.24/4.70 Y2 @ 29.24/4.70 Y5) => 29.24/4.70 (Y4 @ Y5)))))))) => 29.24/4.70 (Y4 @ Y3)))))) | 29.24/4.70 (((!!) @ ( 29.24/4.70 ^[Y4 : a > $o]: 29.24/4.70 (( 29.24/4.70 (( 29.24/4.70 (( 29.24/4.70 (!!) @ ( 29.24/4.70 ^[Y5 : a]: 29.24/4.70 (( 29.24/4.70 ('#sk2' @ 29.24/4.70 Y2 @ 29.24/4.70 Y5) => 29.24/4.70 (Y4 @ Y5)))))) & 29.24/4.70 (( 29.24/4.70 (!!) @ ( 29.24/4.70 ^[Y5 : a]: 29.24/4.70 (( 29.24/4.70 (!!) @ ( 29.24/4.70 ^[Y6 : a]: 29.24/4.70 (( 29.24/4.70 (( 29.24/4.70 (Y4 @ 29.24/4.70 Y5) & 29.24/4.70 ('#sk2' @ 29.24/4.70 Y5 @ Y6))) => 29.24/4.70 (Y4 @ Y6))))))))))) => 29.24/4.70 (Y4 @ Y3)))))))) => 29.24/4.70 (((!!) @ ( 29.24/4.70 ^[Y4 : a > $o]: 29.24/4.70 (((( 29.24/4.70 (( 29.24/4.70 (!!) @ ( 29.24/4.70 ^[Y5 : a]: 29.24/4.70 (( 29.24/4.70 (!!) @ ( 29.24/4.70 ^[Y6 : a]: 29.24/4.70 (( 29.24/4.70 (( 29.24/4.70 (Y4 @ 29.24/4.70 Y5) & 29.24/4.70 (( 29.24/4.70 ('#sk2' @ 29.24/4.70 Y5 @ 29.24/4.70 Y6) | 29.24/4.70 ('#sk1' @ 29.24/4.70 Y5 @ Y6))))) => 29.24/4.70 (Y4 @ Y6))))))))) & 29.24/4.70 (( 29.24/4.70 (!!) @ ( 29.24/4.70 ^[Y5 : a]: 29.24/4.70 (( 29.24/4.70 (( 29.24/4.70 ('#sk1' @ 29.24/4.70 Y2 @ 29.24/4.70 Y5) | 29.24/4.70 ('#sk2' @ 29.24/4.70 Y2 @ Y5))) => 29.24/4.70 (Y4 @ Y5)))))))) => 29.24/4.70 (Y4 @ Y3))))))))))))))))))))))))), 29.24/4.70 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl1])). 29.24/4.70 thf(zip_derived_cl3, plain, 29.24/4.70 (~ (((!!) @ (^[Y0 : a]: 29.24/4.70 (((((!!) @ (^[Y1 : a > $o]: 29.24/4.70 (((((((!!) @ (^[Y2 : a]: 29.24/4.70 ((((('#sk2' @ '#sk3' @ Y2) | 29.24/4.70 ('#sk1' @ '#sk3' @ Y2))) => 29.24/4.70 (Y1 @ Y2)))))) & 29.24/4.70 (((!!) @ (^[Y2 : a]: 29.24/4.70 (((!!) @ (^[Y3 : a]: 29.24/4.70 (((((Y1 @ Y2) & 29.24/4.70 ((('#sk2' @ 29.24/4.70 Y2 @ Y3) | 29.24/4.70 ('#sk1' @ 29.24/4.70 Y2 @ Y3))))) => 29.24/4.70 (Y1 @ Y3))))))))))) => 29.24/4.70 (Y1 @ Y0)))))) | 29.24/4.70 (((((~) @ (((!!) @ (^[Y1 : a > $o]: 29.24/4.70 (((((((!!) @ (^[Y2 : a]: 29.24/4.70 ((((('#sk2' @ 29.24/4.70 '#sk3' @ Y2) | 29.24/4.70 ('#sk1' @ 29.24/4.70 '#sk3' @ Y2))) => 29.24/4.70 (Y1 @ Y2)))))) & 29.24/4.70 (((!!) @ (^[Y2 : a]: 29.24/4.70 (((!!) @ ( 29.24/4.70 ^[Y3 : a]: 29.24/4.70 (((((Y1 @ 29.24/4.70 Y2) & 29.24/4.70 (( 29.24/4.70 ('#sk1' @ 29.24/4.70 Y2 @ Y3) | 29.24/4.70 ('#sk2' @ 29.24/4.70 Y2 @ Y3))))) => 29.24/4.70 (Y1 @ Y3))))))))))) => 29.24/4.70 (Y1 @ Y0)))))))) & 29.24/4.70 (((!!) @ (^[Y1 : a]: 29.24/4.70 (((!!) @ (^[Y2 : a]: 29.24/4.70 (((!!) @ (^[Y3 : a]: 29.24/4.70 (((((((!!) @ ( 29.24/4.70 ^[Y4 : a > $o]: 29.24/4.70 (( 29.24/4.70 (( 29.24/4.70 (( 29.24/4.70 (!!) @ ( 29.24/4.70 ^[Y5 : a]: 29.24/4.70 (( 29.24/4.70 (( 29.24/4.70 ('#sk2' @ 29.24/4.70 Y1 @ 29.24/4.70 Y5) | 29.24/4.70 ('#sk1' @ 29.24/4.70 Y1 @ Y5))) => 29.24/4.70 (Y4 @ Y5)))))) & 29.24/4.70 (( 29.24/4.70 (!!) @ ( 29.24/4.70 ^[Y5 : a]: 29.24/4.70 (( 29.24/4.70 (!!) @ ( 29.24/4.70 ^[Y6 : a]: 29.24/4.70 (( 29.24/4.70 (( 29.24/4.70 (Y4 @ 29.24/4.70 Y5) & 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Y2)))))) | 29.24/4.70 (((!!) @ (^[Y3 : a > $o]: 29.24/4.70 (((((( 29.24/4.70 (!!) @ ( 29.24/4.70 ^[Y4 : a]: 29.24/4.70 (( 29.24/4.70 ('#sk2' @ 29.24/4.70 Y1 @ 29.24/4.70 Y4) => 29.24/4.70 (Y3 @ Y4)))))) & 29.24/4.70 (( 29.24/4.70 (!!) @ ( 29.24/4.70 ^[Y4 : a]: 29.24/4.70 (( 29.24/4.70 (!!) @ ( 29.24/4.70 ^[Y5 : a]: 29.24/4.70 (( 29.24/4.70 (( 29.24/4.70 (Y3 @ 29.24/4.70 Y4) & 29.24/4.70 ('#sk2' @ 29.24/4.70 Y4 @ Y5))) => 29.24/4.70 (Y3 @ Y5))))))))))) => 29.24/4.70 (Y3 @ Y2)))))))) => 29.24/4.70 (((!!) @ (^[Y3 : a > $o]: 29.24/4.70 (((((((!!) @ ( 29.24/4.70 ^[Y4 : a]: 29.24/4.70 (( 29.24/4.70 (!!) @ ( 29.24/4.70 ^[Y5 : a]: 29.24/4.70 (( 29.24/4.70 (( 29.24/4.70 (Y3 @ 29.24/4.70 Y4) & 29.24/4.70 (( 29.24/4.70 ('#sk2' @ 29.24/4.70 Y4 @ 29.24/4.70 Y5) | 29.24/4.70 ('#sk1' @ 29.24/4.70 Y4 @ Y5))))) => 29.24/4.70 (Y3 @ Y5))))))))) & 29.24/4.70 (((!!) @ ( 29.24/4.70 ^[Y4 : a]: 29.24/4.70 (( 29.24/4.70 (( 29.24/4.70 ('#sk1' @ 29.24/4.70 Y1 @ 29.24/4.70 Y4) | 29.24/4.70 ('#sk2' @ 29.24/4.70 Y1 @ Y4))) => 29.24/4.70 (Y3 @ Y4)))))))) => 29.24/4.70 (Y3 @ Y2)))))))))))))))))))))), 29.24/4.70 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl2])). 29.24/4.70 thf(zip_derived_cl4, plain, 29.24/4.70 (~ (((((!!) @ (^[Y0 : a > $o]: 29.24/4.70 (((((((!!) @ (^[Y1 : a]: 29.24/4.70 ((((('#sk2' @ '#sk3' @ Y1) | ('#sk1' @ 29.24/4.70 '#sk3' @ Y1))) => 29.24/4.70 (Y0 @ Y1)))))) & 29.24/4.70 (((!!) @ (^[Y1 : a]: 29.24/4.70 (((!!) @ (^[Y2 : a]: 29.24/4.70 (((((Y0 @ Y1) & 29.24/4.70 ((('#sk2' @ Y1 @ Y2) | 29.24/4.70 ('#sk1' @ Y1 @ Y2))))) => 29.24/4.70 (Y0 @ Y2))))))))))) => 29.24/4.70 (Y0 @ '#sk4')))))) | 29.24/4.70 (((((~) @ (((!!) @ (^[Y0 : a > $o]: 29.24/4.70 (((((((!!) @ (^[Y1 : a]: 29.24/4.70 ((((('#sk2' @ '#sk3' @ Y1) | 29.24/4.70 ('#sk1' @ '#sk3' @ Y1))) => 29.24/4.70 (Y0 @ Y1)))))) & 29.24/4.70 (((!!) @ (^[Y1 : a]: 29.24/4.70 (((!!) @ (^[Y2 : a]: 29.24/4.70 (((((Y0 @ Y1) & 29.24/4.70 ((('#sk1' @ 29.24/4.70 Y1 @ Y2) | 29.24/4.70 ('#sk2' @ 29.24/4.70 Y1 @ Y2))))) => 29.24/4.70 (Y0 @ Y2))))))))))) => 29.24/4.70 (Y0 @ '#sk4')))))))) & 29.24/4.70 (((!!) @ (^[Y0 : a]: 29.24/4.70 (((!!) @ (^[Y1 : a]: 29.24/4.70 (((!!) @ (^[Y2 : a]: 29.24/4.70 (((((((!!) @ (^[Y3 : a > $o]: 29.24/4.70 (((((( 29.24/4.70 (!!) @ ( 29.24/4.70 ^[Y4 : a]: 29.24/4.70 (( 29.24/4.70 (( 29.24/4.70 ('#sk2' @ 29.24/4.70 Y0 @ 29.24/4.70 Y4) | 29.24/4.70 ('#sk1' @ 29.24/4.70 Y0 @ Y4))) => 29.24/4.70 (Y3 @ Y4)))))) & 29.24/4.70 (( 29.24/4.70 (!!) @ ( 29.24/4.70 ^[Y4 : a]: 29.24/4.70 (( 29.24/4.70 (!!) @ ( 29.24/4.70 ^[Y5 : a]: 29.24/4.70 (( 29.24/4.70 (( 29.24/4.70 (Y3 @ 29.24/4.70 Y4) & 29.24/4.70 (( 29.24/4.70 ('#sk2' @ 29.24/4.70 Y4 @ 29.24/4.70 Y5) | 29.24/4.70 ('#sk1' @ 29.24/4.70 Y4 @ Y5))))) => 29.24/4.70 (Y3 @ Y5))))))))))) => 29.24/4.70 (Y3 @ Y1)))))) & 29.24/4.70 (((!!) @ (^[Y3 : a > $o]: 29.24/4.70 (((((( 29.24/4.70 (!!) @ ( 29.24/4.70 ^[Y4 : a]: 29.24/4.70 (( 29.24/4.70 (( 29.24/4.70 ('#sk1' @ 29.24/4.70 Y1 @ 29.24/4.70 Y4) | 29.24/4.70 ('#sk2' @ 29.24/4.70 Y1 @ Y4))) => 29.24/4.70 (Y3 @ Y4)))))) & 29.24/4.70 (( 29.24/4.70 (!!) @ ( 29.24/4.70 ^[Y4 : a]: 29.24/4.70 (( 29.24/4.70 (!!) @ ( 29.24/4.70 ^[Y5 : a]: 29.24/4.70 (( 29.24/4.70 (( 29.24/4.70 (Y3 @ 29.24/4.70 Y4) & 29.24/4.70 (( 29.24/4.70 ('#sk2' @ 29.24/4.70 Y4 @ 29.24/4.70 Y5) | 29.24/4.70 ('#sk1' @ 29.24/4.70 Y4 @ Y5))))) => 29.24/4.70 (Y3 @ Y5))))))))))) => 29.24/4.70 (Y3 @ Y2)))))))) => 29.24/4.70 (((!!) @ (^[Y3 : a > $o]: 29.24/4.70 (((((((!!) @ ( 29.24/4.70 ^[Y4 : a]: 29.24/4.70 (( 29.24/4.70 (!!) @ ( 29.24/4.70 ^[Y5 : a]: 29.24/4.70 (( 29.24/4.70 (( 29.24/4.70 (Y3 @ 29.24/4.70 Y4) & 29.24/4.70 (( 29.24/4.70 ('#sk2' @ 29.24/4.70 Y4 @ 29.24/4.70 Y5) | 29.24/4.70 ('#sk1' @ 29.24/4.70 Y4 @ Y5))))) => 29.24/4.70 (Y3 @ Y5))))))))) & 29.24/4.70 (((!!) @ ( 29.24/4.70 ^[Y4 : a]: 29.24/4.70 (( 29.24/4.70 (( 29.24/4.70 ('#sk2' @ 29.24/4.70 Y0 @ 29.24/4.70 Y4) | 29.24/4.70 ('#sk1' @ 29.24/4.70 Y0 @ Y4))) => 29.24/4.70 (Y3 @ Y4)))))))) => 29.24/4.70 (Y3 @ Y2))))))))))))))))) & 29.24/4.70 (((!!) @ (^[Y0 : a]: 29.24/4.70 (((!!) @ (^[Y1 : a]: 29.24/4.70 (((((((!!) @ (^[Y2 : a > $o]: 29.24/4.70 (((((((!!) @ (^[Y3 : a]: 29.24/4.70 (( 29.24/4.70 (!!) @ ( 29.24/4.70 ^[Y4 : a]: 29.24/4.70 (( 29.24/4.70 (( 29.24/4.70 ('#sk1' @ 29.24/4.70 Y3 @ 29.24/4.70 Y4) & 29.24/4.70 (Y2 @ Y3))) => 29.24/4.70 (Y2 @ Y4))))))))) & 29.24/4.70 (((!!) @ (^[Y3 : a]: 29.24/4.70 (( 29.24/4.70 ('#sk1' @ 29.24/4.70 Y0 @ 29.24/4.70 Y3) => 29.24/4.70 (Y2 @ Y3)))))))) => 29.24/4.70 (Y2 @ Y1)))))) | 29.24/4.70 (((!!) @ (^[Y2 : a > $o]: 29.24/4.70 (((((((!!) @ (^[Y3 : a]: 29.24/4.70 (( 29.24/4.70 ('#sk2' @ 29.24/4.70 Y0 @ 29.24/4.70 Y3) => 29.24/4.70 (Y2 @ Y3)))))) & 29.24/4.70 (((!!) @ (^[Y3 : a]: 29.24/4.70 (( 29.24/4.70 (!!) @ ( 29.24/4.70 ^[Y4 : a]: 29.24/4.70 (( 29.24/4.70 (( 29.24/4.70 (Y2 @ 29.24/4.70 Y3) & 29.24/4.70 ('#sk2' @ 29.24/4.70 Y3 @ Y4))) => 29.24/4.70 (Y2 @ Y4))))))))))) => 29.24/4.70 (Y2 @ Y1)))))))) => 29.24/4.70 (((!!) @ (^[Y2 : a > $o]: 29.24/4.70 (((((((!!) @ (^[Y3 : a]: 29.24/4.70 (((!!) @ ( 29.24/4.70 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(((!!) @ (^[Y0 : a]: 29.24/4.70 (((!!) @ (^[Y1 : a]: 29.24/4.70 (((!!) @ (^[Y2 : a]: 29.24/4.70 (((((((!!) @ (^[Y3 : a > $o]: 29.24/4.70 (((((((!!) @ ( 29.24/4.70 ^[Y4 : a]: 29.24/4.70 (( 29.24/4.70 (( 29.24/4.70 ('#sk2' @ 29.24/4.70 Y0 @ 29.24/4.70 Y4) | 29.24/4.70 ('#sk1' @ 29.24/4.70 Y0 @ Y4))) => 29.24/4.70 (Y3 @ Y4)))))) & 29.24/4.70 (((!!) @ ( 29.24/4.70 ^[Y4 : a]: 29.24/4.70 (( 29.24/4.70 (!!) @ ( 29.24/4.70 ^[Y5 : a]: 29.24/4.70 (( 29.24/4.70 (( 29.24/4.70 (Y3 @ 29.24/4.70 Y4) & 29.24/4.70 (( 29.24/4.70 ('#sk2' @ 29.24/4.70 Y4 @ 29.24/4.70 Y5) | 29.24/4.70 ('#sk1' @ 29.24/4.70 Y4 @ Y5))))) => 29.24/4.70 (Y3 @ Y5))))))))))) => 29.24/4.70 (Y3 @ Y1)))))) & 29.24/4.70 (((!!) @ (^[Y3 : a > $o]: 29.24/4.70 (((((((!!) @ ( 29.24/4.70 ^[Y4 : a]: 29.24/4.70 (( 29.24/4.70 (( 29.24/4.70 ('#sk1' @ 29.24/4.70 Y1 @ 29.24/4.70 Y4) | 29.24/4.70 ('#sk2' @ 29.24/4.70 Y1 @ Y4))) => 29.24/4.70 (Y3 @ Y4)))))) & 29.24/4.70 (((!!) @ ( 29.24/4.70 ^[Y4 : a]: 29.24/4.70 (( 29.24/4.70 (!!) @ ( 29.24/4.70 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(((!!) @ ( 29.24/4.70 ^[Y4 : a]: 29.24/4.70 (( 29.24/4.70 (( 29.24/4.70 ('#sk1' @ 29.24/4.70 Y3 @ 29.24/4.70 Y4) & 29.24/4.70 (Y2 @ Y3))) => 29.24/4.70 (Y2 @ Y4))))))))) & 29.24/4.70 (((!!) @ (^[Y3 : a]: 29.24/4.70 ((('#sk1' @ 29.24/4.70 Y0 @ 29.24/4.70 Y3) => 29.24/4.70 (Y2 @ Y3)))))))) => 29.24/4.70 (Y2 @ Y1)))))) | 29.24/4.70 (((!!) @ (^[Y2 : a > $o]: 29.24/4.70 (((((((!!) @ (^[Y3 : a]: 29.24/4.70 ((('#sk2' @ 29.24/4.70 Y0 @ 29.24/4.70 Y3) => 29.24/4.70 (Y2 @ Y3)))))) & 29.24/4.70 (((!!) @ (^[Y3 : a]: 29.24/4.70 (((!!) @ ( 29.24/4.70 ^[Y4 : a]: 29.24/4.70 (( 29.24/4.70 (( 29.24/4.70 (Y2 @ 29.24/4.70 Y3) & 29.24/4.70 ('#sk2' @ 29.24/4.70 Y3 @ Y4))) => 29.24/4.70 (Y2 @ Y4))))))))))) => 29.24/4.70 (Y2 @ Y1)))))))) => 29.24/4.70 (((!!) @ (^[Y2 : a > $o]: 29.24/4.70 (((((((!!) @ (^[Y3 : a]: 29.24/4.70 (((!!) @ ( 29.24/4.70 ^[Y4 : a]: 29.24/4.70 (( 29.24/4.70 (( 29.24/4.70 (Y2 @ 29.24/4.70 Y3) & 29.24/4.70 (( 29.24/4.70 ('#sk2' @ 29.24/4.70 Y3 @ 29.24/4.70 Y4) | 29.24/4.70 ('#sk1' @ 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(((!!) @ (^[Y3 : a]: 29.24/4.70 ((('#sk1' @ 29.24/4.70 Y0 @ 29.24/4.70 Y3) => 29.24/4.70 (Y2 @ Y3)))))))) => 29.24/4.70 (Y2 @ Y1)))))) | 29.24/4.70 (((!!) @ (^[Y2 : a > $o]: 29.24/4.70 (((((((!!) @ (^[Y3 : a]: 29.24/4.70 ((('#sk2' @ 29.24/4.70 Y0 @ 29.24/4.70 Y3) => 29.24/4.70 (Y2 @ Y3)))))) & 29.24/4.70 (((!!) @ (^[Y3 : a]: 29.24/4.70 (((!!) @ ( 29.24/4.70 ^[Y4 : a]: 29.24/4.70 (( 29.24/4.70 (( 29.24/4.70 (Y2 @ 29.24/4.70 Y3) & 29.24/4.70 ('#sk2' @ 29.24/4.70 Y3 @ Y4))) => 29.24/4.70 (Y2 @ Y4))))))))))) => 29.24/4.70 (Y2 @ Y1)))))))) => 29.24/4.70 (((!!) @ (^[Y2 : a > $o]: 29.24/4.70 (((((((!!) @ (^[Y3 : a]: 29.24/4.70 (((!!) @ ( 29.24/4.70 ^[Y4 : a]: 29.24/4.70 ( 29.24/4.70 ( 29.24/4.70 (( 29.24/4.70 (Y2 @ 29.24/4.70 Y3) & 29.24/4.70 (( 29.24/4.70 ('#sk2' @ 29.24/4.70 Y3 @ 29.24/4.70 Y4) | 29.24/4.70 ('#sk1' @ 29.24/4.70 Y3 @ Y4))))) => 29.24/4.70 (Y2 @ Y4))))))))) & 29.24/4.70 (((!!) @ (^[Y3 : a]: 29.24/4.70 ((((('#sk1' @ 29.24/4.70 Y0 @ 29.24/4.70 Y3) | 29.24/4.70 ('#sk2' @ 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| 29.24/4.71 ('#sk1' @ 29.24/4.71 Y4 @ Y5))))) => 29.24/4.71 (Y3 @ Y5))))))))))) => 29.24/4.71 (Y3 @ Y2)))))))) => 29.24/4.71 (((!!) @ (^[Y3 : a > $o]: 29.24/4.71 (((((((!!) @ ( 29.24/4.71 ^[Y4 : a]: 29.24/4.71 (( 29.24/4.71 (!!) @ ( 29.24/4.71 ^[Y5 : a]: 29.24/4.71 (( 29.24/4.71 (( 29.24/4.71 (Y3 @ 29.24/4.71 Y4) & 29.24/4.71 (( 29.24/4.71 ('#sk2' @ 29.24/4.71 Y4 @ 29.24/4.71 Y5) | 29.24/4.71 ('#sk1' @ 29.24/4.71 Y4 @ Y5))))) => 29.24/4.71 (Y3 @ Y5))))))))) & 29.24/4.71 (((!!) @ ( 29.24/4.71 ^[Y4 : a]: 29.24/4.71 (( 29.24/4.71 (( 29.24/4.71 ('#sk2' @ 29.24/4.71 Y0 @ 29.24/4.71 Y4) | 29.24/4.71 ('#sk1' @ 29.24/4.71 Y0 @ Y4))) => 29.24/4.71 (Y3 @ Y4)))))))) => 29.24/4.71 (Y3 @ Y2))))))))))))))))) 29.24/4.71 | (X2 @ '#sk4'))), 29.24/4.71 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl21])). 29.24/4.71 thf(zip_derived_cl28, plain, 29.24/4.71 (( ('#form25') 29.24/4.71 | ~ (((!!) @ (^[Y0 : a]: 29.24/4.71 (((!!) @ (^[Y1 : a]: 29.24/4.71 (((((((!!) @ (^[Y2 : a > $o]: 29.24/4.71 (((((((!!) @ (^[Y3 : a]: 29.24/4.71 (((!!) @ ( 29.24/4.71 ^[Y4 : a]: 29.24/4.71 (( 29.24/4.71 (( 29.24/4.71 ('#sk1' @ 29.24/4.71 Y3 @ 29.24/4.71 Y4) & 29.24/4.71 (Y2 @ Y3))) => 29.24/4.71 (Y2 @ Y4))))))))) & 29.24/4.71 (((!!) @ (^[Y3 : a]: 29.24/4.71 ((('#sk1' @ 29.24/4.71 Y0 @ 29.24/4.71 Y3) => 29.24/4.71 (Y2 @ Y3)))))))) => 29.24/4.71 (Y2 @ Y1)))))) | 29.24/4.71 (((!!) @ (^[Y2 : a > $o]: 29.24/4.71 (((((((!!) @ (^[Y3 : a]: 29.24/4.71 ((('#sk2' @ 29.24/4.71 Y0 @ 29.24/4.71 Y3) => 29.24/4.71 (Y2 @ Y3)))))) & 29.24/4.71 (((!!) @ (^[Y3 : a]: 29.24/4.71 (((!!) @ ( 29.24/4.71 ^[Y4 : a]: 29.24/4.71 (( 29.24/4.71 (( 29.24/4.71 (Y2 @ 29.24/4.71 Y3) & 29.24/4.71 ('#sk2' @ 29.24/4.71 Y3 @ Y4))) => 29.24/4.71 (Y2 @ Y4))))))))))) => 29.24/4.71 (Y2 @ Y1)))))))) => 29.24/4.71 (((!!) @ (^[Y2 : a > $o]: 29.24/4.71 (((((((!!) @ (^[Y3 : a]: 29.24/4.71 (((!!) @ ( 29.24/4.71 ^[Y4 : a]: 29.24/4.71 ( 29.24/4.71 ( 29.24/4.71 (( 29.24/4.71 (Y2 @ 29.24/4.71 Y3) & 29.24/4.71 (( 29.24/4.71 ('#sk2' @ 29.24/4.71 Y3 @ 29.24/4.71 Y4) | 29.24/4.71 ('#sk1' @ 29.24/4.71 Y3 @ Y4))))) => 29.24/4.71 (Y2 @ Y4))))))))) & 29.24/4.71 (((!!) @ (^[Y3 : a]: 29.24/4.71 ((((('#sk1' @ 29.24/4.71 Y0 @ 29.24/4.71 Y3) | 29.24/4.71 ('#sk2' @ 29.24/4.71 Y0 @ Y3))) => 29.24/4.71 (Y2 @ Y3)))))))) => 29.24/4.71 (Y2 @ Y1)))))))))))))))), 29.24/4.71 define([status(thm)])). 29.24/4.71 thf(zip_derived_cl29, plain, 29.24/4.71 ((~ (((!!) @ (^[Y0 : a]: 29.24/4.71 (((((((!!) @ (^[Y1 : a > $o]: 29.24/4.71 (((((((!!) @ (^[Y2 : a]: 29.24/4.71 (((!!) @ (^[Y3 : a]: 29.24/4.71 ((((('#sk1' @ 29.24/4.71 Y2 @ 29.24/4.71 Y3) & 29.24/4.71 (Y1 @ Y2))) => 29.24/4.71 (Y1 @ Y3))))))))) & 29.24/4.71 (((!!) @ (^[Y2 : a]: 29.24/4.71 ((('#sk1' @ '#sk26' @ 29.24/4.71 Y2) => (Y1 @ Y2)))))))) => 29.24/4.71 (Y1 @ Y0)))))) | 29.24/4.71 (((!!) @ (^[Y1 : a > $o]: 29.24/4.71 (((((((!!) @ (^[Y2 : a]: 29.24/4.71 ((('#sk2' @ '#sk26' @ 29.24/4.71 Y2) => (Y1 @ Y2)))))) & 29.24/4.71 (((!!) @ (^[Y2 : a]: 29.24/4.71 (((!!) @ (^[Y3 : a]: 29.24/4.71 (((((Y1 @ 29.24/4.71 Y2) & 29.24/4.71 ('#sk2' @ 29.24/4.71 Y2 @ Y3))) => 29.24/4.71 (Y1 @ Y3))))))))))) => 29.24/4.71 (Y1 @ Y0)))))))) => 29.24/4.71 (((!!) @ (^[Y1 : a > $o]: 29.24/4.71 (((((((!!) @ (^[Y2 : a]: 29.24/4.71 (((!!) @ (^[Y3 : a]: 29.24/4.71 (((((Y1 @ Y2) & 29.24/4.71 ((('#sk2' @ 29.24/4.71 Y2 @ 29.24/4.71 Y3) | 29.24/4.71 ('#sk1' @ 29.24/4.71 Y2 @ Y3))))) => 29.24/4.71 (Y1 @ Y3))))))))) & 29.24/4.71 (((!!) @ (^[Y2 : a]: 29.24/4.71 ((((('#sk1' @ '#sk26' @ 29.24/4.71 Y2) | ('#sk2' @ 29.24/4.71 '#sk26' @ Y2))) => 29.24/4.71 (Y1 @ Y2)))))))) => 29.24/4.71 (Y1 @ Y0))))))))))) 29.24/4.71 | ('#form25'))), 29.24/4.71 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl28])). 29.24/4.71 thf(zip_derived_cl37, plain, 29.24/4.71 ((~ (((((((!!) @ (^[Y0 : a > $o]: 29.24/4.71 (((((((!!) @ (^[Y1 : a]: 29.24/4.71 (((!!) @ (^[Y2 : a]: 29.24/4.71 ((((('#sk1' @ Y1 @ Y2) & 29.24/4.71 (Y0 @ Y1))) => 29.24/4.71 (Y0 @ Y2))))))))) & 29.24/4.71 (((!!) @ (^[Y1 : a]: 29.24/4.71 ((('#sk1' @ '#sk26' @ Y1) => (Y0 @ 29.24/4.71 Y1)))))))) => 29.24/4.71 (Y0 @ '#sk36')))))) | 29.24/4.71 (((!!) @ (^[Y0 : a > $o]: 29.24/4.71 (((((((!!) @ (^[Y1 : a]: 29.24/4.71 ((('#sk2' @ '#sk26' @ Y1) => (Y0 @ 29.24/4.71 Y1)))))) & 29.24/4.71 (((!!) @ (^[Y1 : a]: 29.24/4.71 (((!!) @ (^[Y2 : a]: 29.24/4.71 (((((Y0 @ Y1) & 29.24/4.71 ('#sk2' @ Y1 @ Y2))) => 29.24/4.71 (Y0 @ Y2))))))))))) => 29.24/4.71 (Y0 @ '#sk36')))))))) => 29.24/4.71 (((!!) @ (^[Y0 : a > $o]: 29.24/4.71 (((((((!!) @ (^[Y1 : a]: 29.24/4.71 (((!!) @ (^[Y2 : a]: 29.24/4.71 (((((Y0 @ Y1) & 29.24/4.71 ((('#sk2' @ Y1 @ Y2) | 29.24/4.71 ('#sk1' @ Y1 @ Y2))))) => 29.24/4.71 (Y0 @ Y2))))))))) & 29.24/4.71 (((!!) @ (^[Y1 : a]: 29.24/4.71 ((((('#sk1' @ '#sk26' @ Y1) | 29.24/4.71 ('#sk2' @ '#sk26' @ Y1))) => 29.24/4.71 (Y0 @ Y1)))))))) => 29.24/4.71 (Y0 @ '#sk36')))))))) 29.24/4.71 | ('#form25'))), 29.24/4.71 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl29])). 29.24/4.71 thf(zip_derived_cl42, plain, 29.24/4.71 ((~ (((!!) @ (^[Y0 : a > $o]: 29.24/4.71 (((((((!!) @ (^[Y1 : a]: 29.24/4.71 (((!!) @ (^[Y2 : a]: 29.24/4.71 (((((Y0 @ Y1) & 29.24/4.71 ((('#sk2' @ Y1 @ Y2) | 29.24/4.71 ('#sk1' @ Y1 @ Y2))))) => 29.24/4.71 (Y0 @ Y2))))))))) & 29.24/4.71 (((!!) @ (^[Y1 : a]: 29.24/4.71 ((((('#sk1' @ '#sk26' @ Y1) | ('#sk2' @ 29.24/4.71 '#sk26' @ Y1))) => 29.24/4.71 (Y0 @ Y1)))))))) => 29.24/4.71 (Y0 @ '#sk36')))))) 29.24/4.71 | ('#form25'))), 29.24/4.71 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl37])). 29.24/4.71 thf(zip_derived_cl50, plain, 29.24/4.71 ((~ (((((((!!) @ (^[Y0 : a]: 29.24/4.71 (((!!) @ (^[Y1 : a]: 29.24/4.71 ((((('#sk55' @ Y0) & 29.24/4.71 ((('#sk2' @ Y0 @ Y1) | ('#sk1' @ 29.24/4.71 Y0 @ Y1))))) => 29.24/4.71 ('#sk55' @ Y1))))))))) & 29.24/4.71 (((!!) @ (^[Y0 : a]: 29.24/4.71 ((((('#sk1' @ '#sk26' @ Y0) | ('#sk2' @ '#sk26' @ Y0))) => 29.24/4.71 ('#sk55' @ Y0)))))))) => 29.24/4.71 ('#sk55' @ '#sk36'))) 29.24/4.71 | ('#form25'))), 29.24/4.71 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl42])). 29.24/4.71 thf(zip_derived_cl59, plain, ((~ ('#sk55' @ '#sk36') | ('#form25'))), 29.24/4.71 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl50])). 29.24/4.71 thf(zip_derived_cl41, plain, 29.24/4.71 (( (((((!!) @ (^[Y0 : a > $o]: 29.24/4.71 (((((((!!) @ (^[Y1 : a]: 29.24/4.71 (((!!) @ (^[Y2 : a]: 29.24/4.71 ((((('#sk1' @ Y1 @ Y2) & 29.24/4.71 (Y0 @ Y1))) => 29.24/4.71 (Y0 @ Y2))))))))) & 29.24/4.71 (((!!) @ (^[Y1 : a]: 29.24/4.71 ((('#sk1' @ '#sk26' @ Y1) => (Y0 @ Y1)))))))) => 29.24/4.71 (Y0 @ '#sk36')))))) | 29.24/4.71 (((!!) @ (^[Y0 : a > $o]: 29.24/4.71 (((((((!!) @ (^[Y1 : a]: 29.24/4.71 ((('#sk2' @ '#sk26' @ Y1) => (Y0 @ Y1)))))) & 29.24/4.71 (((!!) @ (^[Y1 : a]: 29.24/4.71 (((!!) @ (^[Y2 : a]: 29.24/4.71 (((((Y0 @ Y1) & ('#sk2' @ 29.24/4.71 Y1 @ Y2))) => 29.24/4.71 (Y0 @ Y2))))))))))) => 29.24/4.71 (Y0 @ '#sk36')))))))) 29.24/4.71 | ('#form25'))), 29.24/4.71 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl37])). 29.24/4.71 thf(zip_derived_cl48, plain, 29.24/4.71 (( (((!!) @ (^[Y0 : a > $o]: 29.24/4.71 (((((((!!) @ (^[Y1 : a]: 29.24/4.71 (((!!) @ (^[Y2 : a]: 29.24/4.71 ((((('#sk1' @ Y1 @ Y2) & 29.24/4.71 (Y0 @ Y1))) => 29.24/4.71 (Y0 @ Y2))))))))) & 29.24/4.71 (((!!) @ (^[Y1 : a]: 29.24/4.71 ((('#sk1' @ '#sk26' @ Y1) => (Y0 @ Y1)))))))) => 29.24/4.71 (Y0 @ '#sk36')))))) 29.24/4.71 | (((!!) @ (^[Y0 : a > $o]: 29.24/4.71 (((((((!!) @ (^[Y1 : a]: 29.24/4.71 ((('#sk2' @ '#sk26' @ Y1) => (Y0 @ Y1)))))) & 29.24/4.71 (((!!) @ (^[Y1 : a]: 29.24/4.71 (((!!) @ (^[Y2 : a]: 29.24/4.71 (((((Y0 @ Y1) & ('#sk2' @ 29.24/4.71 Y1 @ Y2))) => 29.24/4.71 (Y0 @ Y2))))))))))) => 29.24/4.71 (Y0 @ '#sk36')))))) 29.24/4.71 | ('#form25'))), 29.24/4.71 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl41])). 29.24/4.71 thf(zip_derived_cl55, plain, 29.24/4.71 (![X2 : a > $o]: 29.24/4.71 ( (((((((!!) @ (^[Y0 : a]: 29.24/4.71 (((!!) @ (^[Y1 : a]: 29.24/4.71 ((((('#sk1' @ Y0 @ Y1) & (X2 @ Y0))) => 29.24/4.71 (X2 @ Y1))))))))) & 29.24/4.71 (((!!) @ (^[Y0 : a]: ((('#sk1' @ '#sk26' @ Y0) => (X2 @ Y0)))))))) => 29.24/4.71 (X2 @ '#sk36'))) 29.24/4.71 | ('#form25') 29.24/4.71 | (((!!) @ (^[Y0 : a > $o]: 29.24/4.71 (((((((!!) @ (^[Y1 : a]: 29.24/4.71 ((('#sk2' @ '#sk26' @ Y1) => (Y0 @ Y1)))))) & 29.24/4.71 (((!!) @ (^[Y1 : a]: 29.24/4.71 (((!!) @ (^[Y2 : a]: 29.24/4.71 (((((Y0 @ Y1) & ('#sk2' @ 29.24/4.71 Y1 @ Y2))) => 29.24/4.71 (Y0 @ Y2))))))))))) => 29.24/4.71 (Y0 @ '#sk36')))))))), 29.24/4.71 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl48])). 29.24/4.71 thf(zip_derived_cl67, plain, 29.24/4.71 ((~ ('#form81') 29.24/4.71 | (((!!) @ (^[Y0 : a > $o]: 29.24/4.71 (((((((!!) @ (^[Y1 : a]: 29.24/4.71 ((('#sk2' @ '#sk26' @ Y1) => (Y0 @ Y1)))))) & 29.24/4.71 (((!!) @ (^[Y1 : a]: 29.24/4.71 (((!!) @ (^[Y2 : a]: 29.24/4.71 (((((Y0 @ Y1) & ('#sk2' @ 29.24/4.71 Y1 @ Y2))) => 29.24/4.71 (Y0 @ Y2))))))))))) => 29.24/4.71 (Y0 @ '#sk36')))))))), 29.24/4.71 define([status(thm)])). 29.24/4.71 thf(zip_derived_cl68, plain, 29.24/4.71 (![X2 : a > $o]: 29.24/4.71 ( (((((((!!) @ (^[Y0 : a]: ((('#sk2' @ '#sk26' @ Y0) => (X2 @ Y0)))))) & 29.24/4.71 (((!!) @ (^[Y0 : a]: 29.24/4.71 (((!!) @ (^[Y1 : a]: 29.24/4.71 (((((X2 @ Y0) & ('#sk2' @ Y0 @ Y1))) => 29.24/4.71 (X2 @ Y1))))))))))) => 29.24/4.71 (X2 @ '#sk36'))) 29.24/4.71 | ~ ('#form81'))), 29.24/4.71 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl67])). 29.24/4.71 thf(zip_derived_cl88, plain, 29.24/4.71 (![X2 : a > $o]: 29.24/4.71 (~ (((((!!) @ (^[Y0 : a]: ((('#sk2' @ '#sk26' @ Y0) => (X2 @ Y0)))))) & 29.24/4.71 (((!!) @ (^[Y0 : a]: 29.24/4.71 (((!!) @ (^[Y1 : a]: 29.24/4.71 (((((X2 @ Y0) & ('#sk2' @ Y0 @ Y1))) => 29.24/4.71 (X2 @ Y1))))))))))) 29.24/4.71 | (X2 @ '#sk36') 29.24/4.71 | ~ ('#form81'))), 29.24/4.71 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl68])). 29.24/4.71 thf(zip_derived_cl97, plain, 29.24/4.71 (![X2 : a > $o]: 29.24/4.71 (~ (((!!) @ (^[Y0 : a]: ((('#sk2' @ '#sk26' @ Y0) => (X2 @ Y0)))))) 29.24/4.71 | ~ (((!!) @ (^[Y0 : a]: 29.24/4.71 (((!!) @ (^[Y1 : a]: 29.24/4.71 (((((X2 @ Y0) & ('#sk2' @ Y0 @ Y1))) => 29.24/4.71 (X2 @ Y1))))))))) 29.24/4.71 | ~ ('#form81') 29.24/4.71 | (X2 @ '#sk36'))), 29.24/4.71 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl88])). 29.24/4.71 thf(zip_derived_cl105, plain, 29.24/4.71 (![X2 : a > $o]: 29.24/4.71 (~ ((('#sk2' @ '#sk26' @ ('#sk133' @ X2)) => (X2 @ ('#sk133' @ X2)))) 29.24/4.71 | (X2 @ '#sk36') 29.24/4.71 | ~ ('#form81') 29.24/4.71 | ~ (((!!) @ (^[Y0 : a]: 29.24/4.71 (((!!) @ (^[Y1 : a]: 29.24/4.71 (((((X2 @ Y0) & ('#sk2' @ Y0 @ Y1))) => 29.24/4.71 (X2 @ Y1))))))))))), 29.24/4.71 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl97])). 29.24/4.71 thf(zip_derived_cl115, plain, 29.24/4.71 (![X2 : a > $o]: 29.24/4.71 (~ (X2 @ ('#sk133' @ X2)) 29.24/4.71 | ~ (((!!) @ (^[Y0 : a]: 29.24/4.71 (((!!) @ (^[Y1 : a]: 29.24/4.71 (((((X2 @ Y0) & ('#sk2' @ Y0 @ Y1))) => 29.24/4.71 (X2 @ Y1))))))))) 29.24/4.71 | ~ ('#form81') 29.24/4.71 | (X2 @ '#sk36'))), 29.24/4.71 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl105])). 29.24/4.71 thf(zip_derived_cl128, plain, 29.24/4.71 (![X2 : a > $o]: 29.24/4.71 (~ (((!!) @ (^[Y0 : a]: 29.24/4.71 (((((X2 @ ('#sk171' @ X2)) & ('#sk2' @ 29.24/4.71 ('#sk171' @ X2) @ Y0))) => 29.24/4.71 (X2 @ Y0)))))) 29.24/4.71 | (X2 @ '#sk36') 29.24/4.71 | ~ ('#form81') 29.24/4.71 | ~ (X2 @ ('#sk133' @ X2)))), 29.24/4.71 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl115])). 29.24/4.71 thf(zip_derived_cl143, plain, 29.24/4.71 (![X2 : a > $o]: 29.24/4.71 (~ (((((X2 @ ('#sk171' @ X2)) & ('#sk2' @ ('#sk171' @ X2) @ 29.24/4.71 ('#sk204' @ X2)))) => 29.24/4.71 (X2 @ ('#sk204' @ X2)))) 29.24/4.71 | ~ (X2 @ ('#sk133' @ X2)) 29.24/4.71 | ~ ('#form81') 29.24/4.71 | (X2 @ '#sk36'))), 29.24/4.71 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl128])). 29.24/4.71 thf(zip_derived_cl159, plain, 29.24/4.71 (![X2 : a > $o]: 29.24/4.71 (~ (X2 @ ('#sk204' @ X2)) 29.24/4.71 | (X2 @ '#sk36') 29.24/4.71 | ~ ('#form81') 29.24/4.71 | ~ (X2 @ ('#sk133' @ X2)))), 29.24/4.71 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl143])). 29.24/4.71 thf(zip_derived_cl158, plain, 29.24/4.71 (![X2 : a > $o]: 29.24/4.71 ( (((X2 @ ('#sk171' @ X2)) & ('#sk2' @ ('#sk171' @ X2) @ 29.24/4.71 ('#sk204' @ X2)))) 29.24/4.71 | (X2 @ '#sk36') 29.24/4.71 | ~ ('#form81') 29.24/4.71 | ~ (X2 @ ('#sk133' @ X2)))), 29.24/4.71 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl143])). 29.24/4.71 thf(zip_derived_cl166, plain, 29.24/4.71 (![X2 : a > $o]: 29.24/4.71 ( (X2 @ ('#sk171' @ X2)) 29.24/4.71 | ~ (X2 @ ('#sk133' @ X2)) 29.24/4.71 | ~ ('#form81') 29.24/4.71 | (X2 @ '#sk36'))), 29.24/4.71 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl158])). 29.24/4.71 thf(zip_derived_cl58, plain, 29.24/4.71 (( (((((!!) @ (^[Y0 : a]: 29.24/4.71 (((!!) @ (^[Y1 : a]: 29.24/4.71 ((((('#sk55' @ Y0) & 29.24/4.71 ((('#sk2' @ Y0 @ Y1) | ('#sk1' @ Y0 @ 29.24/4.71 Y1))))) => 29.24/4.71 ('#sk55' @ Y1))))))))) & 29.24/4.71 (((!!) @ (^[Y0 : a]: 29.24/4.71 ((((('#sk1' @ '#sk26' @ Y0) | ('#sk2' @ '#sk26' @ Y0))) => 29.24/4.71 ('#sk55' @ Y0)))))))) 29.24/4.71 | ('#form25'))), 29.24/4.71 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl50])). 29.24/4.71 thf(zip_derived_cl74, plain, 29.24/4.71 (( (((!!) @ (^[Y0 : a]: 29.24/4.71 ((((('#sk1' @ '#sk26' @ Y0) | ('#sk2' @ '#sk26' @ Y0))) => 29.24/4.71 ('#sk55' @ Y0)))))) 29.24/4.71 | ('#form25'))), 29.24/4.71 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl58])). 29.24/4.71 thf(zip_derived_cl90, plain, 29.24/4.71 (![X2 : a]: 29.24/4.71 ( ((((('#sk1' @ '#sk26' @ X2) | ('#sk2' @ '#sk26' @ X2))) => 29.24/4.71 ('#sk55' @ X2))) 29.24/4.71 | ('#form25'))), 29.24/4.71 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl74])). 29.24/4.71 thf(zip_derived_cl99, plain, 29.24/4.71 (![X2 : a]: 29.24/4.71 (~ ((('#sk1' @ '#sk26' @ X2) | ('#sk2' @ '#sk26' @ X2))) 29.24/4.71 | ('#sk55' @ X2) 29.24/4.71 | ('#form25'))), 29.24/4.71 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl90])). 29.24/4.71 thf(zip_derived_cl108, plain, 29.24/4.71 (![X2 : a]: (~ ('#sk2' @ '#sk26' @ X2) | ('#form25') | ('#sk55' @ X2))), 29.24/4.71 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl99])). 29.24/4.71 thf(zip_derived_cl167, plain, 29.24/4.71 (![X2 : a > $o]: 29.24/4.71 ( ('#sk2' @ ('#sk171' @ X2) @ ('#sk204' @ X2)) 29.24/4.71 | ~ (X2 @ ('#sk133' @ X2)) 29.24/4.71 | ~ ('#form81') 29.24/4.71 | (X2 @ '#sk36'))), 29.24/4.71 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl158])). 29.24/4.71 thf(zip_derived_cl114, plain, 29.24/4.71 (![X2 : a > $o]: 29.24/4.71 ( ('#sk2' @ '#sk26' @ ('#sk133' @ X2)) 29.24/4.71 | ~ (((!!) @ (^[Y0 : a]: 29.24/4.71 (((!!) @ (^[Y1 : a]: 29.24/4.71 (((((X2 @ Y0) & ('#sk2' @ Y0 @ Y1))) => 29.24/4.71 (X2 @ Y1))))))))) 29.24/4.71 | ~ ('#form81') 29.24/4.71 | (X2 @ '#sk36'))), 29.24/4.71 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl105])). 29.24/4.71 thf(zip_derived_cl127, plain, 29.24/4.71 (![X2 : a > $o]: 29.24/4.71 (~ (((!!) @ (^[Y0 : a]: 29.24/4.71 (((((X2 @ ('#sk171' @ X2)) & ('#sk2' @ 29.24/4.71 ('#sk171' @ X2) @ Y0))) => 29.24/4.71 (X2 @ Y0)))))) 29.24/4.71 | (X2 @ '#sk36') 29.24/4.71 | ~ ('#form81') 29.24/4.71 | ('#sk2' @ '#sk26' @ ('#sk133' @ X2)))), 29.24/4.71 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl114])). 29.24/4.71 thf(zip_derived_cl142, plain, 29.24/4.71 (![X2 : a > $o]: 29.24/4.71 (~ (((((X2 @ ('#sk171' @ X2)) & ('#sk2' @ ('#sk171' @ X2) @ 29.24/4.71 ('#sk204' @ X2)))) => 29.24/4.71 (X2 @ ('#sk204' @ X2)))) 29.24/4.71 | ('#sk2' @ '#sk26' @ ('#sk133' @ X2)) 29.24/4.71 | ~ ('#form81') 29.24/4.71 | (X2 @ '#sk36'))), 29.24/4.71 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl127])). 29.24/4.71 thf(zip_derived_cl157, plain, 29.24/4.71 (![X2 : a > $o]: 29.24/4.71 (~ (X2 @ ('#sk204' @ X2)) 29.24/4.71 | (X2 @ '#sk36') 29.24/4.71 | ~ ('#form81') 29.24/4.71 | ('#sk2' @ '#sk26' @ ('#sk133' @ X2)))), 29.24/4.71 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl142])). 29.24/4.71 thf(zip_derived_cl156, plain, 29.24/4.71 (![X2 : a > $o]: 29.24/4.71 ( (((X2 @ ('#sk171' @ X2)) & ('#sk2' @ ('#sk171' @ X2) @ 29.24/4.71 ('#sk204' @ X2)))) 29.24/4.71 | (X2 @ '#sk36') 29.24/4.71 | ~ ('#form81') 29.24/4.71 | ('#sk2' @ '#sk26' @ ('#sk133' @ X2)))), 29.24/4.71 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl142])). 29.24/4.71 thf(zip_derived_cl164, plain, 29.24/4.71 (![X2 : a > $o]: 29.24/4.71 ( (X2 @ ('#sk171' @ X2)) 29.24/4.71 | ('#sk2' @ '#sk26' @ ('#sk133' @ X2)) 29.24/4.71 | ~ ('#form81') 29.24/4.71 | (X2 @ '#sk36'))), 29.24/4.71 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl156])). 29.24/4.71 thf(zip_derived_cl73, plain, 29.24/4.71 (( (((!!) @ (^[Y0 : a]: 29.24/4.71 (((!!) @ (^[Y1 : a]: 29.24/4.71 ((((('#sk55' @ Y0) & 29.24/4.71 ((('#sk2' @ Y0 @ Y1) | ('#sk1' @ Y0 @ Y1))))) => 29.24/4.71 ('#sk55' @ Y1))))))))) 29.24/4.71 | ('#form25'))), 29.24/4.71 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl58])). 29.24/4.71 thf(zip_derived_cl89, plain, 29.24/4.71 (![X2 : a]: 29.24/4.71 ( (((!!) @ (^[Y0 : a]: 29.24/4.71 ((((('#sk55' @ X2) & 29.24/4.71 ((('#sk2' @ X2 @ Y0) | ('#sk1' @ X2 @ Y0))))) => 29.24/4.71 ('#sk55' @ Y0)))))) 29.24/4.71 | ('#form25'))), 29.24/4.71 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl73])). 29.24/4.71 thf(zip_derived_cl98, plain, 29.24/4.71 (![X2 : a, X4 : a]: 29.24/4.71 ( ((((('#sk55' @ X2) & ((('#sk2' @ X2 @ X4) | ('#sk1' @ X2 @ X4))))) => 29.24/4.71 ('#sk55' @ X4))) 29.24/4.71 | ('#form25'))), 29.24/4.71 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl89])). 29.24/4.71 thf(zip_derived_cl106, plain, 29.24/4.71 (![X2 : a, X4 : a]: 29.24/4.71 (~ ((('#sk55' @ X2) & ((('#sk2' @ X2 @ X4) | ('#sk1' @ X2 @ X4))))) 29.24/4.71 | ('#sk55' @ X4) 29.24/4.71 | ('#form25'))), 29.24/4.71 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl98])). 29.24/4.71 thf(zip_derived_cl116, plain, 29.24/4.71 (![X2 : a, X4 : a]: 29.24/4.71 (~ ('#sk55' @ X2) 29.24/4.71 | ~ ((('#sk2' @ X2 @ X4) | ('#sk1' @ X2 @ X4))) 29.24/4.71 | ('#form25') 29.24/4.71 | ('#sk55' @ X4))), 29.24/4.71 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl106])). 29.24/4.71 thf(zip_derived_cl129, plain, 29.24/4.71 (![X2 : a, X4 : a]: 29.24/4.71 (~ ('#sk2' @ X2 @ X4) 29.24/4.71 | ('#sk55' @ X4) 29.24/4.71 | ('#form25') 29.24/4.71 | ~ ('#sk55' @ X2))), 29.24/4.71 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl116])). 29.24/4.71 thf(zip_derived_cl165, plain, 29.24/4.71 (![X2 : a > $o]: 29.24/4.71 ( ('#sk2' @ ('#sk171' @ X2) @ ('#sk204' @ X2)) 29.24/4.71 | ('#sk2' @ '#sk26' @ ('#sk133' @ X2)) 29.24/4.71 | ~ ('#form81') 29.24/4.71 | (X2 @ '#sk36'))), 29.24/4.71 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl156])). 29.24/4.71 thf(zip_derived_cl25, plain, 29.24/4.71 (![X2 : a > $o]: 29.24/4.71 ( ((('#sk2' @ '#sk3' @ ('#sk15' @ X2)) | ('#sk1' @ '#sk3' @ 29.24/4.71 ('#sk15' @ X2)))) 29.24/4.71 | ~ (((!!) @ (^[Y0 : a]: 29.24/4.71 (((!!) @ (^[Y1 : a]: 29.24/4.71 (((((X2 @ Y0) & 29.24/4.71 ((('#sk1' @ Y0 @ Y1) | ('#sk2' @ 29.24/4.71 Y0 @ Y1))))) => 29.24/4.71 (X2 @ Y1))))))))) 29.24/4.71 | ~ (((!!) @ (^[Y0 : a]: 29.24/4.71 (((!!) @ (^[Y1 : a]: 29.24/4.71 (((((((!!) @ (^[Y2 : a > $o]: 29.24/4.71 (((((((!!) @ (^[Y3 : a]: 29.24/4.71 ( 29.24/4.71 ( 29.24/4.71 (!!) @ ( 29.24/4.71 ^[Y4 : a]: 29.24/4.71 (( 29.24/4.71 (( 29.24/4.71 ('#sk1' @ 29.24/4.71 Y3 @ 29.24/4.71 Y4) & 29.24/4.71 (Y2 @ Y3))) => 29.24/4.71 (Y2 @ Y4))))))))) & 29.24/4.71 (((!!) @ (^[Y3 : a]: 29.24/4.71 ( 29.24/4.71 ( 29.24/4.71 ('#sk1' @ 29.24/4.71 Y0 @ 29.24/4.71 Y3) => 29.24/4.71 (Y2 @ Y3)))))))) => 29.24/4.71 (Y2 @ Y1)))))) | 29.24/4.71 (((!!) @ (^[Y2 : a > $o]: 29.24/4.71 (((((((!!) @ (^[Y3 : a]: 29.24/4.71 ( 29.24/4.71 ( 29.24/4.71 ('#sk2' @ 29.24/4.71 Y0 @ 29.24/4.71 Y3) => 29.24/4.71 (Y2 @ Y3)))))) & 29.24/4.71 (((!!) @ (^[Y3 : a]: 29.24/4.71 ( 29.24/4.71 ( 29.24/4.71 (!!) @ ( 29.24/4.71 ^[Y4 : a]: 29.24/4.71 (( 29.24/4.71 (( 29.24/4.71 (Y2 @ 29.24/4.71 Y3) & 29.24/4.71 ('#sk2' @ 29.24/4.71 Y3 @ Y4))) => 29.24/4.71 (Y2 @ Y4))))))))))) => 29.24/4.71 (Y2 @ Y1)))))))) => 29.24/4.71 (((!!) @ (^[Y2 : a > $o]: 29.24/4.71 (((((((!!) @ (^[Y3 : a]: 29.24/4.71 (((!!) @ ( 29.24/4.71 ^[Y4 : a]: 29.24/4.71 (( 29.24/4.71 (( 29.24/4.71 (Y2 @ 29.24/4.71 Y3) & 29.24/4.71 (( 29.24/4.71 ('#sk2' @ 29.24/4.71 Y3 @ 29.24/4.71 Y4) | 29.24/4.71 ('#sk1' @ 29.24/4.71 Y3 @ Y4))))) => 29.24/4.71 (Y2 @ Y4))))))))) & 29.24/4.71 (((!!) @ (^[Y3 : a]: 29.24/4.71 (((( 29.24/4.71 ('#sk1' @ 29.24/4.71 Y0 @ 29.24/4.71 Y3) | 29.24/4.71 ('#sk2' @ 29.24/4.71 Y0 @ Y3))) => 29.24/4.71 (Y2 @ Y3)))))))) => 29.24/4.71 (Y2 @ Y1)))))))))))))) 29.24/4.71 | ~ (((!!) @ (^[Y0 : a]: 29.24/4.71 (((!!) @ (^[Y1 : a]: 29.24/4.71 (((!!) @ (^[Y2 : a]: 29.24/4.71 (((((((!!) @ (^[Y3 : a > $o]: 29.24/4.71 (((((( 29.24/4.71 (!!) @ ( 29.24/4.71 ^[Y4 : a]: 29.24/4.71 (( 29.24/4.71 (( 29.24/4.71 ('#sk2' @ 29.24/4.71 Y0 @ 29.24/4.71 Y4) | 29.24/4.71 ('#sk1' @ 29.24/4.71 Y0 @ Y4))) => 29.24/4.71 (Y3 @ Y4)))))) & 29.24/4.71 (( 29.24/4.71 (!!) @ ( 29.24/4.71 ^[Y4 : a]: 29.24/4.71 (( 29.24/4.71 (!!) @ ( 29.24/4.71 ^[Y5 : a]: 29.24/4.71 (( 29.24/4.71 (( 29.24/4.71 (Y3 @ 29.24/4.71 Y4) & 29.24/4.71 (( 29.24/4.71 ('#sk2' @ 29.24/4.71 Y4 @ 29.24/4.71 Y5) | 29.24/4.71 ('#sk1' @ 29.24/4.71 Y4 @ Y5))))) => 29.24/4.71 (Y3 @ Y5))))))))))) => 29.24/4.71 (Y3 @ Y1)))))) & 29.24/4.71 (((!!) @ (^[Y3 : a > $o]: 29.24/4.71 (((((( 29.24/4.71 (!!) @ ( 29.24/4.71 ^[Y4 : a]: 29.24/4.71 (( 29.24/4.71 (( 29.24/4.71 ('#sk1' @ 29.24/4.71 Y1 @ 29.24/4.71 Y4) | 29.24/4.71 ('#sk2' @ 29.24/4.71 Y1 @ Y4))) => 29.24/4.71 (Y3 @ Y4)))))) & 29.24/4.71 (( 29.24/4.71 (!!) @ ( 29.24/4.71 ^[Y4 : a]: 29.24/4.71 (( 29.24/4.71 (!!) @ ( 29.24/4.71 ^[Y5 : a]: 29.24/4.71 (( 29.24/4.71 (( 29.24/4.71 (Y3 @ 29.24/4.71 Y4) & 29.24/4.71 (( 29.24/4.71 ('#sk2' @ 29.24/4.71 Y4 @ 29.24/4.71 Y5) | 29.24/4.71 ('#sk1' @ 29.24/4.71 Y4 @ Y5))))) => 29.24/4.71 (Y3 @ Y5))))))))))) => 29.24/4.71 (Y3 @ Y2)))))))) => 29.24/4.71 (((!!) @ (^[Y3 : a > $o]: 29.24/4.71 (((((((!!) @ ( 29.24/4.71 ^[Y4 : a]: 29.24/4.71 (( 29.24/4.71 (!!) @ ( 29.24/4.71 ^[Y5 : a]: 29.24/4.71 (( 29.24/4.71 (( 29.24/4.71 (Y3 @ 29.24/4.71 Y4) & 29.24/4.71 (( 29.24/4.71 ('#sk2' @ 29.24/4.71 Y4 @ 29.24/4.71 Y5) | 29.24/4.71 ('#sk1' @ 29.24/4.71 Y4 @ Y5))))) => 29.24/4.71 (Y3 @ Y5))))))))) & 29.24/4.71 (((!!) @ ( 29.24/4.71 ^[Y4 : a]: 29.24/4.71 (( 29.24/4.71 (( 29.24/4.71 ('#sk2' @ 29.24/4.71 Y0 @ 29.24/4.71 Y4) | 29.24/4.71 ('#sk1' @ 29.24/4.71 Y0 @ Y4))) => 29.24/4.71 (Y3 @ Y4)))))))) => 29.24/4.71 (Y3 @ Y2))))))))))))))))) 29.24/4.71 | (X2 @ '#sk4'))), 29.24/4.71 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl21])). 29.24/4.71 thf(zip_derived_cl28, plain, 29.24/4.71 (( ('#form25') 29.24/4.71 | ~ (((!!) @ (^[Y0 : a]: 29.24/4.71 (((!!) @ (^[Y1 : a]: 29.24/4.71 (((((((!!) @ (^[Y2 : a > $o]: 29.24/4.71 (((((((!!) @ (^[Y3 : a]: 29.24/4.71 (((!!) @ ( 29.24/4.71 ^[Y4 : a]: 29.24/4.71 (( 29.24/4.71 (( 29.24/4.71 ('#sk1' @ 29.24/4.71 Y3 @ 29.24/4.71 Y4) & 29.24/4.71 (Y2 @ Y3))) => 29.24/4.71 (Y2 @ Y4))))))))) & 29.24/4.71 (((!!) @ (^[Y3 : a]: 29.24/4.71 ((('#sk1' @ 29.24/4.71 Y0 @ 29.24/4.71 Y3) => 29.24/4.71 (Y2 @ Y3)))))))) => 29.24/4.71 (Y2 @ Y1)))))) | 29.24/4.71 (((!!) @ (^[Y2 : a > $o]: 29.24/4.71 (((((((!!) @ (^[Y3 : a]: 29.24/4.71 ((('#sk2' @ 29.24/4.71 Y0 @ 29.24/4.71 Y3) => 29.24/4.71 (Y2 @ Y3)))))) & 29.24/4.71 (((!!) @ (^[Y3 : a]: 29.24/4.71 (((!!) @ ( 29.24/4.71 ^[Y4 : a]: 29.24/4.71 (( 29.24/4.71 (( 29.24/4.71 (Y2 @ 29.24/4.71 Y3) & 29.24/4.71 ('#sk2' @ 29.24/4.71 Y3 @ Y4))) => 29.24/4.71 (Y2 @ Y4))))))))))) => 29.24/4.71 (Y2 @ Y1)))))))) => 29.24/4.71 (((!!) @ (^[Y2 : a > $o]: 29.24/4.71 (((((((!!) @ (^[Y3 : a]: 29.24/4.71 (((!!) @ ( 29.24/4.71 ^[Y4 : a]: 29.24/4.71 ( 29.24/4.71 ( 29.24/4.71 (( 29.24/4.71 (Y2 @ 29.24/4.71 Y3) & 29.24/4.71 (( 29.24/4.71 ('#sk2' @ 29.24/4.71 Y3 @ 29.24/4.71 Y4) | 29.24/4.71 ('#sk1' @ 29.24/4.71 Y3 @ Y4))))) => 29.24/4.71 (Y2 @ Y4))))))))) & 29.24/4.71 (((!!) @ (^[Y3 : a]: 29.24/4.71 ((((('#sk1' @ 29.24/4.71 Y0 @ 29.24/4.71 Y3) | 29.24/4.71 ('#sk2' @ 29.24/4.71 Y0 @ Y3))) => 29.24/4.71 (Y2 @ Y3)))))))) => 29.24/4.71 (Y2 @ Y1)))))))))))))))), 29.24/4.71 define([status(thm)])). 29.24/4.71 thf(zip_derived_cl30, plain, 29.24/4.71 (![X2 : a > $o]: 29.24/4.71 (~ ('#form25') 29.24/4.71 | (X2 @ '#sk4') 29.24/4.71 | ~ (((!!) @ (^[Y0 : a]: 29.24/4.71 (((!!) @ (^[Y1 : a]: 29.24/4.71 (((!!) @ (^[Y2 : a]: 29.24/4.71 (((((((!!) @ (^[Y3 : a > $o]: 29.24/4.71 (((((( 29.24/4.71 (!!) @ ( 29.24/4.71 ^[Y4 : a]: 29.24/4.71 (( 29.24/4.71 (( 29.24/4.71 ('#sk2' @ 29.24/4.71 Y0 @ 29.24/4.71 Y4) | 29.24/4.71 ('#sk1' @ 29.24/4.71 Y0 @ Y4))) => 29.24/4.71 (Y3 @ Y4)))))) & 29.24/4.71 (( 29.24/4.71 (!!) @ ( 29.24/4.71 ^[Y4 : a]: 29.24/4.71 (( 29.24/4.71 (!!) @ ( 29.24/4.71 ^[Y5 : a]: 29.24/4.71 (( 29.24/4.71 (( 29.24/4.71 (Y3 @ 29.24/4.71 Y4) & 29.24/4.71 (( 29.24/4.71 ('#sk2' @ 29.24/4.71 Y4 @ 29.24/4.71 Y5) | 29.24/4.71 ('#sk1' @ 29.24/4.71 Y4 @ Y5))))) => 29.24/4.71 (Y3 @ Y5))))))))))) => 29.24/4.71 (Y3 @ Y1)))))) & 29.24/4.71 (((!!) @ (^[Y3 : a > $o]: 29.24/4.71 (((((( 29.24/4.71 (!!) @ ( 29.24/4.71 ^[Y4 : a]: 29.24/4.71 (( 29.24/4.71 (( 29.24/4.71 ('#sk1' @ 29.24/4.71 Y1 @ 29.24/4.71 Y4) | 29.24/4.71 ('#sk2' @ 29.24/4.71 Y1 @ Y4))) => 29.24/4.71 (Y3 @ Y4)))))) & 29.24/4.71 (( 29.24/4.71 (!!) @ ( 29.24/4.71 ^[Y4 : a]: 29.24/4.71 (( 29.24/4.71 (!!) @ ( 29.24/4.71 ^[Y5 : a]: 29.24/4.71 (( 29.24/4.71 (( 29.24/4.71 (Y3 @ 29.24/4.71 Y4) & 29.24/4.71 (( 29.24/4.71 ('#sk2' @ 29.24/4.71 Y4 @ 29.24/4.71 Y5) | 29.24/4.71 ('#sk1' @ 29.24/4.71 Y4 @ Y5))))) => 29.24/4.71 (Y3 @ Y5))))))))))) => 29.24/4.71 (Y3 @ Y2)))))))) => 29.24/4.71 (((!!) @ (^[Y3 : a > $o]: 29.24/4.71 (((((((!!) @ ( 29.24/4.71 ^[Y4 : a]: 29.24/4.71 (( 29.24/4.71 (!!) @ ( 29.24/4.71 ^[Y5 : a]: 29.24/4.71 (( 29.24/4.71 (( 29.24/4.71 (Y3 @ 29.24/4.71 Y4) & 29.24/4.71 (( 29.24/4.71 ('#sk2' @ 29.24/4.71 Y4 @ 29.24/4.71 Y5) | 29.24/4.71 ('#sk1' @ 29.24/4.71 Y4 @ Y5))))) => 29.24/4.71 (Y3 @ Y5))))))))) & 29.24/4.71 (((!!) @ ( 29.24/4.71 ^[Y4 : a]: 29.24/4.71 (( 29.24/4.71 (( 29.24/4.71 ('#sk2' @ 29.24/4.71 Y0 @ 29.24/4.71 Y4) | 29.24/4.71 ('#sk1' @ 29.24/4.71 Y0 @ Y4))) => 29.24/4.71 (Y3 @ Y4)))))))) => 29.24/4.71 (Y3 @ Y2))))))))))))))))) 29.24/4.71 | ~ (((!!) @ (^[Y0 : a]: 29.24/4.71 (((!!) @ (^[Y1 : a]: 29.24/4.71 (((((X2 @ Y0) & 29.24/4.71 ((('#sk1' @ Y0 @ Y1) | ('#sk2' @ 29.24/4.71 Y0 @ Y1))))) => 29.24/4.71 (X2 @ Y1))))))))) 29.24/4.71 | ((('#sk2' @ '#sk3' @ ('#sk15' @ X2)) | ('#sk1' @ '#sk3' @ 29.24/4.71 ('#sk15' @ X2)))))), 29.24/4.71 inference('renaming', [status(thm)], [zip_derived_cl25, zip_derived_cl28])). 29.24/4.71 thf(zip_derived_cl34, plain, 29.24/4.71 (( ('#form34') 29.24/4.71 | ~ (((!!) @ (^[Y0 : a]: 29.24/4.71 (((!!) @ (^[Y1 : a]: 29.24/4.71 (((!!) @ (^[Y2 : a]: 29.24/4.71 (((((((!!) @ (^[Y3 : a > $o]: 29.24/4.71 (((((((!!) @ ( 29.24/4.71 ^[Y4 : a]: 29.24/4.71 (( 29.24/4.71 (( 29.24/4.71 ('#sk2' @ 29.24/4.71 Y0 @ 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29.24/4.71 (((!!) @ (^[Y0 : a > $o]: 29.24/4.71 (((((((!!) @ (^[Y1 : a]: 29.24/4.71 ((((('#sk1' @ '#sk44' @ Y1) | ('#sk2' @ 29.24/4.71 '#sk44' @ Y1))) => 29.24/4.71 (Y0 @ Y1)))))) & 29.24/4.71 (((!!) @ (^[Y1 : a]: 29.24/4.71 (((!!) @ (^[Y2 : a]: 29.24/4.71 (((((Y0 @ Y1) & 29.24/4.71 ((('#sk2' @ Y1 @ Y2) | 29.24/4.71 ('#sk1' @ Y1 @ Y2))))) => 29.24/4.71 (Y0 @ Y2))))))))))) => 29.24/4.71 (Y0 @ '#sk54')))))))) 29.24/4.71 | ('#form34'))), 29.24/4.71 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl47])). 29.24/4.71 thf(zip_derived_cl63, plain, 29.24/4.71 (( (((!!) @ (^[Y0 : a > $o]: 29.24/4.71 (((((((!!) @ (^[Y1 : a]: 29.24/4.71 ((((('#sk1' @ '#sk44' @ Y1) | ('#sk2' @ 29.24/4.71 '#sk44' @ Y1))) => 29.24/4.71 (Y0 @ Y1)))))) & 29.24/4.71 (((!!) @ (^[Y1 : a]: 29.24/4.71 (((!!) @ (^[Y2 : a]: 29.24/4.71 (((((Y0 @ Y1) & 29.24/4.71 ((('#sk2' @ Y1 @ Y2) | 29.24/4.71 ('#sk1' @ Y1 @ Y2))))) => 29.24/4.71 (Y0 @ Y2))))))))))) => 29.24/4.71 (Y0 @ '#sk54')))))) 29.24/4.71 | ('#form34'))), 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(^[Y1 : a]: 29.24/4.71 ((((('#sk2' @ '#sk35' @ Y1) | ('#sk1' @ 29.24/4.71 '#sk35' @ Y1))) => 29.24/4.71 (Y0 @ Y1)))))))) => 29.24/4.71 (Y0 @ '#sk54')))))) 29.24/4.71 | ('#form34'))), 29.24/4.71 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl47])). 29.24/4.71 thf(zip_derived_cl66, plain, 29.24/4.71 ((~ (((((((!!) @ (^[Y0 : a]: 29.24/4.71 (((!!) @ (^[Y1 : a]: 29.24/4.71 ((((('#sk77' @ Y0) & 29.24/4.71 ((('#sk2' @ Y0 @ Y1) | ('#sk1' @ 29.24/4.71 Y0 @ Y1))))) => 29.24/4.71 ('#sk77' @ Y1))))))))) & 29.24/4.71 (((!!) @ (^[Y0 : a]: 29.24/4.71 ((((('#sk2' @ '#sk35' @ Y0) | ('#sk1' @ '#sk35' @ Y0))) => 29.24/4.71 ('#sk77' @ Y0)))))))) => 29.24/4.71 ('#sk77' @ '#sk54'))) 29.24/4.71 | ('#form34'))), 29.24/4.71 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl54])). 29.24/4.71 thf(zip_derived_cl86, plain, ((~ ('#sk77' @ '#sk54') | ('#form34'))), 29.24/4.71 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl66])). 29.24/4.71 thf(zip_derived_cl253, plain, 29.24/4.71 (( ('#form34') 29.24/4.71 | ~ (((((!!) @ (^[Y0 : a]: 29.24/4.71 ((((('#sk1' @ '#sk44' @ Y0) | ('#sk2' @ '#sk44' @ Y0))) => 29.24/4.71 ('#sk77' @ Y0)))))) & 29.24/4.71 (((!!) @ (^[Y0 : a]: 29.24/4.71 (((!!) @ (^[Y1 : a]: 29.24/4.71 ((((('#sk77' @ Y0) & 29.24/4.71 ((('#sk2' @ Y0 @ Y1) | ('#sk1' @ 29.24/4.71 Y0 @ Y1))))) => 29.24/4.71 ('#sk77' @ Y1))))))))))))), 29.24/4.71 inference('clc', [status(thm)], [zip_derived_cl252, zip_derived_cl86])). 29.24/4.71 thf(zip_derived_cl254, plain, 29.24/4.71 ((~ (((!!) @ (^[Y0 : a]: 29.24/4.71 ((((('#sk1' @ '#sk44' @ Y0) | ('#sk2' @ '#sk44' @ Y0))) => 29.24/4.71 ('#sk77' @ Y0)))))) 29.24/4.71 | ~ (((!!) @ (^[Y0 : a]: 29.24/4.71 (((!!) @ (^[Y1 : a]: 29.24/4.71 ((((('#sk77' @ Y0) & 29.24/4.71 ((('#sk2' @ Y0 @ Y1) | ('#sk1' @ Y0 @ 29.24/4.71 Y1))))) => 29.24/4.71 ('#sk77' @ Y1))))))))) 29.24/4.71 | ('#form34'))), 29.24/4.71 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl253])). 29.24/4.71 thf(zip_derived_cl81, plain, 29.24/4.71 (![X2 : a > $o]: 29.24/4.71 ( (((((((!!) @ (^[Y0 : a]: 29.24/4.71 ((((('#sk1' @ '#sk44' @ Y0) | ('#sk2' @ '#sk44' @ 29.24/4.71 Y0))) => 29.24/4.71 (X2 @ Y0)))))) & 29.24/4.71 (((!!) @ (^[Y0 : a]: 29.24/4.71 (((!!) @ (^[Y1 : a]: 29.24/4.71 (((((X2 @ Y0) & 29.24/4.71 ((('#sk2' @ Y0 @ Y1) | ('#sk1' @ 29.24/4.71 Y0 @ Y1))))) => 29.24/4.71 (X2 @ Y1))))))))))) => 29.24/4.71 (X2 @ '#sk54'))) 29.24/4.71 | ('#form34'))), 29.24/4.71 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl63])). 29.24/4.71 thf(zip_derived_cl93, plain, 29.24/4.71 (![X2 : a > $o]: 29.24/4.71 (~ (((((!!) @ (^[Y0 : a]: 29.24/4.71 ((((('#sk1' @ '#sk44' @ Y0) | ('#sk2' @ '#sk44' @ Y0))) => 29.24/4.71 (X2 @ Y0)))))) & 29.24/4.71 (((!!) @ (^[Y0 : a]: 29.24/4.71 (((!!) @ (^[Y1 : a]: 29.24/4.71 (((((X2 @ Y0) & 29.24/4.71 ((('#sk2' @ Y0 @ Y1) | ('#sk1' @ 29.24/4.71 Y0 @ Y1))))) => 29.24/4.71 (X2 @ Y1))))))))))) 29.24/4.71 | (X2 @ '#sk54') 29.24/4.71 | ('#form34'))), 29.24/4.71 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl81])). 29.24/4.71 thf(zip_derived_cl101, plain, 29.24/4.71 (![X2 : a > $o]: 29.24/4.71 (~ (((!!) @ (^[Y0 : a]: 29.24/4.71 ((((('#sk1' @ '#sk44' @ Y0) | ('#sk2' @ '#sk44' @ Y0))) => 29.24/4.71 (X2 @ Y0)))))) 29.24/4.71 | ~ (((!!) @ (^[Y0 : a]: 29.24/4.71 (((!!) @ (^[Y1 : a]: 29.24/4.71 (((((X2 @ Y0) & 29.24/4.71 ((('#sk2' @ Y0 @ Y1) | ('#sk1' @ 29.24/4.71 Y0 @ Y1))))) => 29.24/4.71 (X2 @ Y1))))))))) 29.24/4.71 | ('#form34') 29.24/4.71 | (X2 @ '#sk54'))), 29.24/4.71 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl93])). 29.24/4.71 thf(zip_derived_cl110, plain, 29.24/4.71 (![X2 : a > $o]: 29.24/4.71 (~ ((((('#sk1' @ '#sk44' @ ('#sk141' @ X2)) | ('#sk2' @ '#sk44' @ 29.24/4.71 ('#sk141' @ X2)))) => 29.24/4.71 (X2 @ ('#sk141' @ X2)))) 29.24/4.71 | (X2 @ '#sk54') 29.24/4.71 | ('#form34') 29.24/4.71 | ~ (((!!) @ (^[Y0 : a]: 29.24/4.71 (((!!) @ (^[Y1 : a]: 29.24/4.71 (((((X2 @ Y0) & 29.24/4.71 ((('#sk2' @ Y0 @ Y1) | ('#sk1' @ 29.24/4.71 Y0 @ Y1))))) => 29.24/4.71 (X2 @ Y1))))))))))), 29.24/4.71 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl101])). 29.24/4.71 thf(zip_derived_cl119, plain, 29.24/4.71 (![X2 : a > $o]: 29.24/4.71 ( ('#form161' @ X2) 29.24/4.71 | ~ (((!!) @ (^[Y0 : a]: 29.24/4.71 (((!!) @ (^[Y1 : a]: 29.24/4.71 (((((X2 @ Y0) & 29.24/4.71 ((('#sk2' @ Y0 @ Y1) | ('#sk1' @ 29.24/4.71 Y0 @ Y1))))) => 29.24/4.71 (X2 @ Y1))))))))))), 29.24/4.71 define([status(thm)])). 29.24/4.71 thf(zip_derived_cl255, plain, 29.24/4.71 ((~ ('#form161' @ '#sk77') 29.24/4.71 | ('#form34') 29.24/4.71 | ~ (((!!) @ (^[Y0 : a]: 29.24/4.71 ((((('#sk1' @ '#sk44' @ Y0) | ('#sk2' @ '#sk44' @ Y0))) => 29.24/4.71 ('#sk77' @ Y0)))))))), 29.24/4.71 inference('renaming', [status(thm)], 29.24/4.71 [zip_derived_cl254, zip_derived_cl119])). 29.24/4.71 thf(zip_derived_cl256, plain, 29.24/4.71 ((~ ((((('#sk1' @ '#sk44' @ ('#sk141' @ '#sk77')) | ('#sk2' @ '#sk44' @ 29.24/4.71 ('#sk141' @ '#sk77')))) => 29.24/4.71 ('#sk77' @ ('#sk141' @ '#sk77')))) 29.24/4.71 | ('#form34') 29.24/4.71 | ~ ('#form161' @ '#sk77'))), 29.24/4.71 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl255])). 29.24/4.71 thf(zip_derived_cl258, plain, 29.24/4.71 ((~ ('#sk77' @ ('#sk141' @ '#sk77')) 29.24/4.71 | ~ ('#form161' @ '#sk77') 29.24/4.71 | ('#form34'))), 29.24/4.71 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl256])). 29.24/4.71 thf(zip_derived_cl11, plain, 29.24/4.71 (![X2 : a > $o]: 29.24/4.71 ( (((((((!!) @ (^[Y0 : a]: 29.24/4.71 ((((('#sk2' @ '#sk3' @ Y0) | ('#sk1' @ '#sk3' @ Y0))) => 29.24/4.71 (X2 @ Y0)))))) & 29.24/4.71 (((!!) @ (^[Y0 : a]: 29.24/4.71 (((!!) @ (^[Y1 : a]: 29.24/4.71 (((((X2 @ Y0) & 29.24/4.71 ((('#sk1' @ Y0 @ Y1) | ('#sk2' @ 29.24/4.71 Y0 @ Y1))))) => 29.24/4.71 (X2 @ Y1))))))))))) => 29.24/4.71 (X2 @ '#sk4'))) 29.24/4.71 | ~ (((!!) @ (^[Y0 : a]: 29.24/4.71 (((!!) @ (^[Y1 : a]: 29.24/4.71 (((((((!!) @ (^[Y2 : a > $o]: 29.24/4.71 (((((((!!) @ (^[Y3 : a]: 29.24/4.71 ( 29.24/4.71 ( 29.24/4.71 (!!) @ ( 29.24/4.71 ^[Y4 : a]: 29.24/4.71 (( 29.24/4.71 (( 29.24/4.71 ('#sk1' @ 29.24/4.71 Y3 @ 29.24/4.71 Y4) & 29.24/4.71 (Y2 @ Y3))) => 29.24/4.71 (Y2 @ Y4))))))))) & 29.24/4.71 (((!!) @ (^[Y3 : a]: 29.24/4.71 ( 29.24/4.71 ( 29.24/4.71 ('#sk1' @ 29.24/4.71 Y0 @ 29.24/4.71 Y3) => 29.24/4.71 (Y2 @ Y3)))))))) => 29.24/4.71 (Y2 @ Y1)))))) | 29.24/4.71 (((!!) @ (^[Y2 : a > $o]: 29.24/4.71 (((((((!!) @ (^[Y3 : a]: 29.24/4.71 ( 29.24/4.71 ( 29.24/4.71 ('#sk2' @ 29.24/4.71 Y0 @ 29.24/4.71 Y3) => 29.24/4.71 (Y2 @ Y3)))))) & 29.24/4.71 (((!!) @ (^[Y3 : a]: 29.24/4.71 ( 29.24/4.71 ( 29.24/4.71 (!!) @ ( 29.24/4.71 ^[Y4 : a]: 29.24/4.71 (( 29.24/4.71 (( 29.24/4.71 (Y2 @ 29.24/4.71 Y3) & 29.24/4.71 ('#sk2' @ 29.24/4.71 Y3 @ Y4))) => 29.24/4.71 (Y2 @ Y4))))))))))) => 29.24/4.71 (Y2 @ Y1)))))))) => 29.24/4.71 (((!!) @ (^[Y2 : a > $o]: 29.24/4.71 (((((((!!) @ (^[Y3 : a]: 29.24/4.71 (((!!) @ ( 29.24/4.71 ^[Y4 : a]: 29.24/4.71 (( 29.24/4.71 (( 29.24/4.71 (Y2 @ 29.24/4.71 Y3) & 29.24/4.71 (( 29.24/4.71 ('#sk2' @ 29.24/4.71 Y3 @ 29.24/4.71 Y4) | 29.24/4.71 ('#sk1' @ 29.24/4.71 Y3 @ Y4))))) => 29.24/4.71 (Y2 @ Y4))))))))) & 29.24/4.71 (((!!) @ (^[Y3 : a]: 29.24/4.71 (((( 29.24/4.71 ('#sk1' @ 29.24/4.71 Y0 @ 29.24/4.71 Y3) | 29.24/4.71 ('#sk2' @ 29.24/4.71 Y0 @ Y3))) => 29.24/4.71 (Y2 @ Y3)))))))) => 29.24/4.71 (Y2 @ Y1)))))))))))))) 29.24/4.71 | ~ (((!!) @ (^[Y0 : a]: 29.24/4.71 (((!!) @ (^[Y1 : a]: 29.24/4.71 (((!!) @ (^[Y2 : a]: 29.24/4.71 (((((((!!) @ (^[Y3 : a > $o]: 29.24/4.71 (((((( 29.24/4.71 (!!) @ ( 29.24/4.71 ^[Y4 : a]: 29.24/4.71 (( 29.24/4.71 (( 29.24/4.71 ('#sk2' @ 29.24/4.71 Y0 @ 29.24/4.71 Y4) | 29.24/4.71 ('#sk1' @ 29.24/4.71 Y0 @ Y4))) => 29.24/4.71 (Y3 @ Y4)))))) & 29.24/4.71 (( 29.24/4.71 (!!) @ ( 29.24/4.71 ^[Y4 : a]: 29.24/4.71 (( 29.24/4.71 (!!) @ ( 29.24/4.71 ^[Y5 : a]: 29.24/4.71 (( 29.24/4.71 (( 29.24/4.71 (Y3 @ 29.24/4.71 Y4) & 29.24/4.71 (( 29.24/4.71 ('#sk2' @ 29.24/4.71 Y4 @ 29.24/4.71 Y5) | 29.24/4.71 ('#sk1' @ 29.24/4.71 Y4 @ Y5))))) => 29.24/4.71 (Y3 @ Y5))))))))))) => 29.24/4.71 (Y3 @ Y1)))))) & 29.24/4.71 (((!!) @ (^[Y3 : a > $o]: 29.24/4.71 (((((( 29.24/4.71 (!!) @ ( 29.24/4.71 ^[Y4 : a]: 29.24/4.71 (( 29.24/4.71 (( 29.24/4.71 ('#sk1' @ 29.24/4.71 Y1 @ 29.24/4.71 Y4) | 29.24/4.71 ('#sk2' @ 29.24/4.71 Y1 @ Y4))) => 29.24/4.71 (Y3 @ Y4)))))) & 29.24/4.71 (( 29.24/4.71 (!!) @ ( 29.24/4.71 ^[Y4 : a]: 29.24/4.71 (( 29.24/4.71 (!!) @ ( 29.24/4.71 ^[Y5 : a]: 29.24/4.71 (( 29.24/4.71 (( 29.24/4.71 (Y3 @ 29.24/4.71 Y4) & 29.24/4.71 (( 29.24/4.71 ('#sk2' @ 29.24/4.71 Y4 @ 29.24/4.71 Y5) | 29.24/4.71 ('#sk1' @ 29.24/4.71 Y4 @ Y5))))) => 29.24/4.71 (Y3 @ Y5))))))))))) => 29.24/4.71 (Y3 @ Y2)))))))) => 29.24/4.71 (((!!) @ (^[Y3 : a > $o]: 29.24/4.71 (((((((!!) @ ( 29.24/4.71 ^[Y4 : a]: 29.24/4.71 (( 29.24/4.71 (!!) @ ( 29.24/4.71 ^[Y5 : a]: 29.24/4.71 (( 29.24/4.71 (( 29.24/4.71 (Y3 @ 29.24/4.71 Y4) & 29.24/4.71 (( 29.24/4.71 ('#sk2' @ 29.24/4.71 Y4 @ 29.24/4.71 Y5) | 29.24/4.71 ('#sk1' @ 29.24/4.71 Y4 @ Y5))))) => 29.24/4.71 (Y3 @ Y5))))))))) & 29.24/4.71 (((!!) @ ( 29.24/4.71 ^[Y4 : a]: 29.24/4.71 (( 29.24/4.71 (( 29.24/4.71 ('#sk2' @ 29.24/4.71 Y0 @ 29.24/4.71 Y4) | 29.24/4.71 ('#sk1' @ 29.24/4.71 Y0 @ Y4))) => 29.24/4.71 (Y3 @ Y4)))))))) => 29.24/4.71 (Y3 @ Y2))))))))))))))))))), 29.24/4.71 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl8])). 29.24/4.71 thf(zip_derived_cl12, plain, 29.24/4.71 (( (((((((!!) @ (^[Y0 : a]: 29.24/4.71 ((((('#sk2' @ '#sk3' @ Y0) | ('#sk1' @ '#sk3' @ Y0))) => 29.24/4.71 ('#sk5' @ Y0)))))) & 29.24/4.71 (((!!) @ (^[Y0 : a]: 29.24/4.71 (((!!) @ (^[Y1 : a]: 29.24/4.71 ((((('#sk5' @ Y0) & 29.24/4.71 ((('#sk1' @ Y0 @ Y1) | ('#sk2' @ Y0 @ 29.24/4.71 Y1))))) => 29.24/4.71 ('#sk5' @ Y1))))))))))) => 29.24/4.71 ('#sk5' @ '#sk4'))) 29.24/4.71 | ~ (((!!) @ (^[Y0 : a]: 29.24/4.71 (((!!) @ (^[Y1 : a]: 29.24/4.71 (((((((!!) @ (^[Y2 : a > $o]: 29.24/4.71 (((((((!!) @ (^[Y3 : a]: 29.24/4.71 (((!!) @ ( 29.24/4.71 ^[Y4 : a]: 29.24/4.71 (( 29.24/4.71 (( 29.24/4.71 ('#sk1' @ 29.24/4.71 Y3 @ 29.24/4.71 Y4) & 29.24/4.71 (Y2 @ Y3))) => 29.24/4.71 (Y2 @ Y4))))))))) & 29.24/4.71 (((!!) @ (^[Y3 : a]: 29.24/4.71 ((('#sk1' @ 29.24/4.71 Y0 @ 29.24/4.71 Y3) => 29.24/4.71 (Y2 @ Y3)))))))) => 29.24/4.71 (Y2 @ Y1)))))) | 29.24/4.71 (((!!) @ (^[Y2 : a > $o]: 29.24/4.71 (((((((!!) @ (^[Y3 : a]: 29.24/4.71 ((('#sk2' @ 29.24/4.71 Y0 @ 29.24/4.71 Y3) => 29.24/4.71 (Y2 @ Y3)))))) & 29.24/4.71 (((!!) @ (^[Y3 : a]: 29.24/4.71 (((!!) @ ( 29.24/4.71 ^[Y4 : a]: 29.24/4.71 (( 29.24/4.71 (( 29.24/4.71 (Y2 @ 29.24/4.71 Y3) & 29.24/4.71 ('#sk2' @ 29.24/4.71 Y3 @ Y4))) => 29.24/4.71 (Y2 @ Y4))))))))))) => 29.24/4.71 (Y2 @ Y1)))))))) => 29.24/4.71 (((!!) @ (^[Y2 : a > $o]: 29.24/4.71 (((((((!!) @ (^[Y3 : a]: 29.24/4.71 (((!!) @ ( 29.24/4.71 ^[Y4 : a]: 29.24/4.71 ( 29.24/4.71 ( 29.24/4.71 (( 29.24/4.71 (Y2 @ 29.24/4.71 Y3) & 29.24/4.71 (( 29.24/4.71 ('#sk2' @ 29.24/4.71 Y3 @ 29.24/4.71 Y4) | 29.24/4.71 ('#sk1' @ 29.24/4.71 Y3 @ Y4))))) => 29.24/4.71 (Y2 @ Y4))))))))) & 29.24/4.71 (((!!) @ (^[Y3 : a]: 29.24/4.71 ((((('#sk1' @ 29.24/4.71 Y0 @ 29.24/4.71 Y3) | 29.24/4.71 ('#sk2' @ 29.24/4.71 Y0 @ Y3))) => 29.24/4.71 (Y2 @ Y3)))))))) => 29.24/4.71 (Y2 @ Y1)))))))))))))) 29.24/4.71 | ~ (((!!) @ (^[Y0 : a]: 29.24/4.71 (((!!) @ (^[Y1 : a]: 29.24/4.71 (((!!) @ (^[Y2 : a]: 29.24/4.71 (((((((!!) @ (^[Y3 : a > $o]: 29.24/4.71 (((((((!!) @ ( 29.24/4.71 ^[Y4 : a]: 29.24/4.71 (( 29.24/4.71 (( 29.24/4.71 ('#sk2' @ 29.24/4.71 Y0 @ 29.24/4.71 Y4) | 29.24/4.71 ('#sk1' @ 29.24/4.71 Y0 @ Y4))) => 29.24/4.71 (Y3 @ Y4)))))) & 29.24/4.71 (((!!) @ ( 29.24/4.71 ^[Y4 : a]: 29.24/4.71 (( 29.24/4.71 (!!) @ ( 29.24/4.71 ^[Y5 : a]: 29.24/4.71 (( 29.24/4.71 (( 29.24/4.71 (Y3 @ 29.24/4.71 Y4) & 29.24/4.71 (( 29.24/4.71 ('#sk2' @ 29.24/4.71 Y4 @ 29.24/4.71 Y5) | 29.24/4.71 ('#sk1' @ 29.24/4.71 Y4 @ Y5))))) => 29.24/4.71 (Y3 @ Y5))))))))))) => 29.24/4.71 (Y3 @ Y1)))))) & 29.24/4.71 (((!!) @ (^[Y3 : a > $o]: 29.24/4.71 (((((((!!) @ ( 29.24/4.71 ^[Y4 : a]: 29.24/4.71 (( 29.24/4.71 (( 29.24/4.71 ('#sk1' @ 29.24/4.71 Y1 @ 29.24/4.71 Y4) | 29.24/4.71 ('#sk2' @ 29.24/4.71 Y1 @ Y4))) => 29.24/4.71 (Y3 @ Y4)))))) & 29.24/4.71 (((!!) @ ( 29.24/4.71 ^[Y4 : a]: 29.24/4.71 (( 29.24/4.71 (!!) @ ( 29.24/4.71 ^[Y5 : a]: 29.24/4.71 (( 29.24/4.71 (( 29.24/4.71 (Y3 @ 29.24/4.71 Y4) & 29.24/4.71 (( 29.24/4.71 ('#sk2' @ 29.24/4.71 Y4 @ 29.24/4.71 Y5) | 29.24/4.71 ('#sk1' @ 29.24/4.71 Y4 @ Y5))))) => 29.24/4.71 (Y3 @ Y5))))))))))) => 29.24/4.71 (Y3 @ Y2)))))))) => 29.24/4.71 (((!!) @ (^[Y3 : a > $o]: 29.24/4.71 (((((((!!) @ ( 29.24/4.71 ^[Y4 : a]: 29.24/4.71 ( 29.24/4.71 ( 29.24/4.71 (!!) @ ( 29.24/4.71 ^[Y5 : a]: 29.24/4.71 (( 29.24/4.71 (( 29.24/4.71 (Y3 @ 29.24/4.71 Y4) & 29.24/4.71 (( 29.24/4.71 ('#sk2' @ 29.24/4.71 Y4 @ 29.24/4.71 Y5) | 29.24/4.71 ('#sk1' @ 29.24/4.71 Y4 @ Y5))))) => 29.24/4.71 (Y3 @ Y5))))))))) & 29.24/4.71 (((!!) @ ( 29.24/4.71 ^[Y4 : a]: 29.24/4.71 ( 29.24/4.71 ( 29.24/4.71 (( 29.24/4.71 ('#sk2' @ 29.24/4.71 Y0 @ 29.24/4.71 Y4) | 29.24/4.71 ('#sk1' @ 29.24/4.71 Y0 @ Y4))) => 29.24/4.71 (Y3 @ Y4)))))))) => 29.24/4.71 (Y3 @ Y2))))))))))))))))))), 29.24/4.71 inference('triggered_bool_instantiation', [status(thm)], 29.24/4.71 [zip_derived_cl11])). 29.24/4.71 thf(zip_derived_cl5, plain, 29.24/4.71 (~ (((!!) @ (^[Y0 : a > $o]: 29.24/4.71 (((((((!!) @ (^[Y1 : a]: 29.24/4.71 ((((('#sk2' @ '#sk3' @ Y1) | ('#sk1' @ 29.24/4.71 '#sk3' @ Y1))) => 29.24/4.71 (Y0 @ Y1)))))) & 29.24/4.71 (((!!) @ (^[Y1 : a]: 29.24/4.71 (((!!) @ (^[Y2 : a]: 29.24/4.71 (((((Y0 @ Y1) & 29.24/4.71 ((('#sk2' @ Y1 @ Y2) | 29.24/4.71 ('#sk1' @ Y1 @ Y2))))) => 29.24/4.71 (Y0 @ Y2))))))))))) => 29.24/4.71 (Y0 @ '#sk4'))))))), 29.24/4.71 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl4])). 29.24/4.71 thf(zip_derived_cl7, plain, 29.24/4.71 (~ (((((((!!) @ (^[Y0 : a]: 29.24/4.71 ((((('#sk2' @ '#sk3' @ Y0) | ('#sk1' @ '#sk3' @ Y0))) => 29.24/4.71 ('#sk5' @ Y0)))))) & 29.24/4.71 (((!!) @ (^[Y0 : a]: 29.24/4.71 (((!!) @ (^[Y1 : a]: 29.24/4.71 ((((('#sk5' @ Y0) & 29.24/4.71 ((('#sk2' @ Y0 @ Y1) | ('#sk1' @ Y0 @ 29.24/4.71 Y1))))) => 29.24/4.71 ('#sk5' @ Y1))))))))))) => 29.24/4.71 ('#sk5' @ '#sk4')))), 29.24/4.71 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl5])). 29.24/4.71 thf(zip_derived_cl10, plain, (~ ('#sk5' @ '#sk4')), 29.24/4.71 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl7])). 29.24/4.71 thf(zip_derived_cl186, plain, 29.24/4.71 (( (((((((!!) @ (^[Y0 : a]: 29.24/4.71 ((((('#sk2' @ '#sk3' @ Y0) | ('#sk1' @ '#sk3' @ Y0))) => 29.24/4.71 ('#sk5' @ Y0)))))) & 29.24/4.71 (((!!) @ (^[Y0 : a]: 29.24/4.71 (((!!) @ (^[Y1 : a]: 29.24/4.71 ((((('#sk5' @ Y0) & 29.24/4.71 ((('#sk1' @ Y0 @ Y1) | ('#sk2' @ Y0 @ 29.24/4.71 Y1))))) => 29.24/4.71 ('#sk5' @ Y1))))))))))) => 29.24/4.71 ($false))) 29.24/4.71 | ~ (((!!) @ (^[Y0 : a]: 29.24/4.71 (((!!) @ (^[Y1 : a]: 29.24/4.71 (((((((!!) @ (^[Y2 : a > $o]: 29.24/4.71 (((((((!!) @ (^[Y3 : a]: 29.24/4.71 (((!!) @ ( 29.24/4.71 ^[Y4 : a]: 29.24/4.71 (( 29.24/4.71 (( 29.24/4.71 ('#sk1' @ 29.24/4.71 Y3 @ 29.24/4.71 Y4) & 29.24/4.71 (Y2 @ Y3))) => 29.24/4.71 (Y2 @ Y4))))))))) & 29.24/4.71 (((!!) @ (^[Y3 : a]: 29.24/4.71 ((('#sk1' @ 29.24/4.71 Y0 @ 29.24/4.71 Y3) => 29.24/4.71 (Y2 @ Y3)))))))) => 29.24/4.71 (Y2 @ Y1)))))) | 29.24/4.71 (((!!) @ (^[Y2 : a > $o]: 29.24/4.71 (((((((!!) @ (^[Y3 : a]: 29.24/4.71 ((('#sk2' @ 29.24/4.71 Y0 @ 29.24/4.71 Y3) => 29.24/4.71 (Y2 @ Y3)))))) & 29.24/4.71 (((!!) @ (^[Y3 : a]: 29.24/4.71 (((!!) @ ( 29.24/4.71 ^[Y4 : a]: 29.24/4.71 (( 29.24/4.71 (( 29.24/4.71 (Y2 @ 29.24/4.71 Y3) & 29.24/4.71 ('#sk2' @ 29.24/4.71 Y3 @ Y4))) => 29.24/4.71 (Y2 @ Y4))))))))))) => 29.24/4.71 (Y2 @ Y1)))))))) => 29.24/4.71 (((!!) @ (^[Y2 : a > $o]: 29.24/4.71 (((((((!!) @ (^[Y3 : a]: 29.24/4.71 (((!!) @ ( 29.24/4.71 ^[Y4 : a]: 29.24/4.71 ( 29.24/4.71 ( 29.24/4.71 (( 29.24/4.71 (Y2 @ 29.24/4.71 Y3) & 29.24/4.71 (( 29.24/4.71 ('#sk2' @ 29.24/4.71 Y3 @ 29.24/4.71 Y4) | 29.24/4.71 ('#sk1' @ 29.24/4.71 Y3 @ Y4))))) => 29.24/4.71 (Y2 @ Y4))))))))) & 29.24/4.71 (((!!) @ (^[Y3 : a]: 29.24/4.71 ((((('#sk1' @ 29.24/4.71 Y0 @ 29.24/4.71 Y3) | 29.24/4.71 ('#sk2' @ 29.24/4.71 Y0 @ Y3))) => 29.24/4.71 (Y2 @ Y3)))))))) => 29.24/4.71 (Y2 @ Y1)))))))))))))) 29.24/4.71 | ~ (((!!) @ (^[Y0 : a]: 29.24/4.71 (((!!) @ (^[Y1 : a]: 29.24/4.71 (((!!) @ (^[Y2 : a]: 29.24/4.71 (((((((!!) @ (^[Y3 : a > $o]: 29.24/4.71 (((((((!!) @ ( 29.24/4.71 ^[Y4 : a]: 29.24/4.71 (( 29.24/4.71 (( 29.24/4.71 ('#sk2' @ 29.24/4.71 Y0 @ 29.24/4.71 Y4) | 29.24/4.71 ('#sk1' @ 29.24/4.71 Y0 @ Y4))) => 29.24/4.71 (Y3 @ Y4)))))) & 29.24/4.71 (((!!) @ ( 29.24/4.71 ^[Y4 : a]: 29.24/4.71 (( 29.24/4.71 (!!) @ ( 29.24/4.71 ^[Y5 : a]: 29.24/4.71 (( 29.24/4.71 (( 29.24/4.71 (Y3 @ 29.24/4.71 Y4) & 29.24/4.71 (( 29.24/4.71 ('#sk2' @ 29.24/4.71 Y4 @ 29.24/4.71 Y5) | 29.24/4.71 ('#sk1' @ 29.24/4.71 Y4 @ Y5))))) => 29.24/4.71 (Y3 @ Y5))))))))))) => 29.24/4.71 (Y3 @ Y1)))))) & 29.24/4.71 (((!!) @ (^[Y3 : a > $o]: 29.24/4.71 (((((((!!) @ ( 29.24/4.71 ^[Y4 : a]: 29.24/4.71 (( 29.24/4.71 (( 29.24/4.71 ('#sk1' @ 29.24/4.71 Y1 @ 29.24/4.71 Y4) | 29.24/4.71 ('#sk2' @ 29.24/4.71 Y1 @ Y4))) => 29.24/4.71 (Y3 @ Y4)))))) & 29.24/4.71 (((!!) @ ( 29.24/4.71 ^[Y4 : a]: 29.24/4.71 (( 29.24/4.71 (!!) @ ( 29.24/4.71 ^[Y5 : a]: 29.24/4.71 (( 29.24/4.71 (( 29.24/4.71 (Y3 @ 29.24/4.71 Y4) & 29.24/4.71 (( 29.24/4.71 ('#sk2' @ 29.24/4.71 Y4 @ 29.24/4.71 Y5) | 29.24/4.71 ('#sk1' @ 29.24/4.71 Y4 @ Y5))))) => 29.24/4.71 (Y3 @ Y5))))))))))) => 29.24/4.71 (Y3 @ Y2)))))))) => 29.24/4.71 (((!!) @ (^[Y3 : a > $o]: 29.24/4.71 (((((((!!) @ ( 29.24/4.71 ^[Y4 : a]: 29.24/4.71 ( 29.24/4.71 ( 29.24/4.71 (!!) @ ( 29.24/4.71 ^[Y5 : a]: 29.24/4.71 (( 29.24/4.71 (( 29.24/4.71 (Y3 @ 29.24/4.71 Y4) & 29.24/4.71 (( 29.24/4.71 ('#sk2' @ 29.24/4.71 Y4 @ 29.24/4.71 Y5) | 29.24/4.71 ('#sk1' @ 29.24/4.71 Y4 @ Y5))))) => 29.24/4.71 (Y3 @ Y5))))))))) & 29.24/4.71 (((!!) @ ( 29.24/4.71 ^[Y4 : a]: 29.24/4.71 ( 29.24/4.71 ( 29.24/4.71 (( 29.24/4.71 ('#sk2' @ 29.24/4.71 Y0 @ 29.24/4.71 Y4) | 29.24/4.71 ('#sk1' @ 29.24/4.71 Y0 @ Y4))) => 29.24/4.71 (Y3 @ Y4)))))))) => 29.24/4.71 (Y3 @ Y2))))))))))))))))))), 29.24/4.71 inference('demod', [status(thm)], [zip_derived_cl12, zip_derived_cl10])). 29.24/4.71 thf(zip_derived_cl187, plain, 29.24/4.71 (( (((~) @ (((((!!) @ (^[Y0 : a]: 29.24/4.71 ((((('#sk2' @ '#sk3' @ Y0) | ('#sk1' @ '#sk3' @ 29.24/4.71 Y0))) => 29.24/4.71 ('#sk5' @ Y0)))))) & 29.24/4.71 (((!!) @ (^[Y0 : a]: 29.24/4.71 (((!!) @ (^[Y1 : a]: 29.24/4.71 ((((('#sk5' @ Y0) & 29.24/4.71 ((('#sk1' @ Y0 @ Y1) | 29.24/4.71 ('#sk2' @ Y0 @ Y1))))) => 29.24/4.71 ('#sk5' @ Y1))))))))))))) 29.24/4.71 | ~ (((!!) @ (^[Y0 : a]: 29.24/4.71 (((!!) @ (^[Y1 : a]: 29.24/4.71 (((((((!!) @ (^[Y2 : a > $o]: 29.24/4.71 (((((((!!) @ (^[Y3 : a]: 29.24/4.71 (((!!) @ ( 29.24/4.71 ^[Y4 : a]: 29.24/4.71 (( 29.24/4.71 (( 29.24/4.71 ('#sk1' @ 29.24/4.71 Y3 @ 29.24/4.71 Y4) & 29.24/4.71 (Y2 @ Y3))) => 29.24/4.71 (Y2 @ Y4))))))))) & 29.24/4.71 (((!!) @ (^[Y3 : a]: 29.24/4.71 ((('#sk1' @ 29.24/4.71 Y0 @ 29.24/4.71 Y3) => 29.24/4.71 (Y2 @ Y3)))))))) => 29.24/4.71 (Y2 @ Y1)))))) | 29.24/4.71 (((!!) @ (^[Y2 : a > $o]: 29.24/4.71 (((((((!!) @ (^[Y3 : a]: 29.24/4.71 ((('#sk2' @ 29.24/4.71 Y0 @ 29.24/4.71 Y3) => 29.24/4.71 (Y2 @ Y3)))))) & 29.24/4.71 (((!!) @ (^[Y3 : a]: 29.24/4.71 (((!!) @ ( 29.24/4.71 ^[Y4 : a]: 29.24/4.71 (( 29.24/4.71 (( 29.24/4.71 (Y2 @ 29.24/4.71 Y3) & 29.24/4.71 ('#sk2' @ 29.24/4.71 Y3 @ Y4))) => 29.24/4.71 (Y2 @ Y4))))))))))) => 29.24/4.71 (Y2 @ Y1)))))))) => 29.24/4.71 (((!!) @ (^[Y2 : a > $o]: 29.24/4.71 (((((((!!) @ (^[Y3 : a]: 29.24/4.71 (((!!) @ ( 29.24/4.71 ^[Y4 : a]: 29.24/4.71 ( 29.24/4.71 ( 29.24/4.71 (( 29.24/4.71 (Y2 @ 29.24/4.71 Y3) & 29.24/4.71 (( 29.24/4.71 ('#sk2' @ 29.24/4.71 Y3 @ 29.24/4.71 Y4) | 29.24/4.71 ('#sk1' @ 29.24/4.71 Y3 @ Y4))))) => 29.24/4.71 (Y2 @ Y4))))))))) & 29.24/4.71 (((!!) @ (^[Y3 : a]: 29.24/4.71 ((((('#sk1' @ 29.24/4.71 Y0 @ 29.24/4.71 Y3) | 29.24/4.71 ('#sk2' @ 29.24/4.71 Y0 @ Y3))) => 29.24/4.71 (Y2 @ Y3)))))))) => 29.24/4.71 (Y2 @ Y1)))))))))))))) 29.24/4.71 | ~ (((!!) @ (^[Y0 : a]: 29.24/4.71 (((!!) @ (^[Y1 : a]: 29.24/4.71 (((!!) @ (^[Y2 : a]: 29.24/4.71 (((((((!!) @ (^[Y3 : a > $o]: 29.24/4.71 (((((((!!) @ ( 29.24/4.71 ^[Y4 : a]: 29.24/4.71 (( 29.24/4.71 (( 29.24/4.71 ('#sk2' @ 29.24/4.71 Y0 @ 29.24/4.71 Y4) | 29.24/4.71 ('#sk1' @ 29.24/4.71 Y0 @ Y4))) => 29.24/4.71 (Y3 @ Y4)))))) & 29.24/4.71 (((!!) @ ( 29.24/4.71 ^[Y4 : a]: 29.24/4.71 (( 29.24/4.71 (!!) @ ( 29.24/4.71 ^[Y5 : a]: 29.24/4.71 (( 29.24/4.71 (( 29.24/4.71 (Y3 @ 29.24/4.71 Y4) & 29.24/4.71 (( 29.24/4.71 ('#sk2' @ 29.24/4.71 Y4 @ 29.24/4.71 Y5) | 29.24/4.71 ('#sk1' @ 29.24/4.71 Y4 @ Y5))))) => 29.24/4.71 (Y3 @ Y5))))))))))) => 29.24/4.71 (Y3 @ Y1)))))) & 29.24/4.71 (((!!) @ (^[Y3 : a > $o]: 29.24/4.71 (((((((!!) @ ( 29.24/4.71 ^[Y4 : a]: 29.24/4.71 (( 29.24/4.71 (( 29.24/4.71 ('#sk1' @ 29.24/4.71 Y1 @ 29.24/4.71 Y4) | 29.24/4.71 ('#sk2' @ 29.24/4.71 Y1 @ Y4))) => 29.24/4.71 (Y3 @ Y4)))))) & 29.24/4.71 (((!!) @ ( 29.24/4.71 ^[Y4 : a]: 29.24/4.71 (( 29.24/4.71 (!!) @ ( 29.24/4.71 ^[Y5 : a]: 29.24/4.71 (( 29.24/4.71 (( 29.24/4.71 (Y3 @ 29.24/4.71 Y4) & 29.24/4.71 (( 29.24/4.71 ('#sk2' @ 29.24/4.71 Y4 @ 29.24/4.71 Y5) | 29.24/4.71 ('#sk1' @ 29.24/4.71 Y4 @ Y5))))) => 29.24/4.71 (Y3 @ Y5))))))))))) => 29.24/4.71 (Y3 @ Y2)))))))) => 29.24/4.71 (((!!) @ (^[Y3 : a > $o]: 29.24/4.71 (((((((!!) @ ( 29.24/4.71 ^[Y4 : a]: 29.24/4.71 ( 29.24/4.71 ( 29.24/4.71 (!!) @ ( 29.24/4.71 ^[Y5 : a]: 29.24/4.71 (( 29.24/4.71 (( 29.24/4.71 (Y3 @ 29.24/4.71 Y4) & 29.24/4.71 (( 29.24/4.71 ('#sk2' @ 29.24/4.71 Y4 @ 29.24/4.71 Y5) | 29.24/4.71 ('#sk1' @ 29.24/4.71 Y4 @ Y5))))) => 29.24/4.71 (Y3 @ Y5))))))))) & 29.24/4.71 (((!!) @ ( 29.24/4.71 ^[Y4 : a]: 29.24/4.71 ( 29.24/4.71 ( 29.24/4.71 (( 29.24/4.71 ('#sk2' @ 29.24/4.71 Y0 @ 29.24/4.71 Y4) | 29.24/4.71 ('#sk1' @ 29.24/4.71 Y0 @ Y4))) => 29.24/4.71 (Y3 @ Y4)))))))) => 29.24/4.71 (Y3 @ Y2))))))))))))))))))), 29.24/4.71 inference('simplify boolean subterms', [status(thm)], [zip_derived_cl186])). 29.24/4.71 thf(zip_derived_cl188, plain, 29.24/4.71 ((~ (((((!!) @ (^[Y0 : a]: 29.24/4.71 ((((('#sk2' @ '#sk3' @ Y0) | ('#sk1' @ '#sk3' @ Y0))) => 29.24/4.71 ('#sk5' @ Y0)))))) & 29.24/4.71 (((!!) @ (^[Y0 : a]: 29.24/4.71 (((!!) @ (^[Y1 : a]: 29.24/4.71 ((((('#sk5' @ Y0) & 29.24/4.71 ((('#sk1' @ Y0 @ Y1) | ('#sk2' @ Y0 @ 29.24/4.71 Y1))))) => 29.24/4.71 ('#sk5' @ Y1))))))))))) 29.24/4.71 | ~ (((!!) @ (^[Y0 : a]: 29.24/4.71 (((!!) @ (^[Y1 : a]: 29.24/4.71 (((((((!!) @ (^[Y2 : a > $o]: 29.24/4.71 (((((((!!) @ (^[Y3 : a]: 29.24/4.71 (((!!) @ ( 29.24/4.71 ^[Y4 : a]: 29.24/4.71 (( 29.24/4.71 (( 29.24/4.71 ('#sk1' @ 29.24/4.71 Y3 @ 29.24/4.71 Y4) & 29.24/4.71 (Y2 @ Y3))) => 29.24/4.71 (Y2 @ Y4))))))))) & 29.24/4.71 (((!!) @ (^[Y3 : a]: 29.24/4.71 ((('#sk1' @ 29.24/4.71 Y0 @ 29.24/4.71 Y3) => 29.24/4.71 (Y2 @ Y3)))))))) => 29.24/4.71 (Y2 @ Y1)))))) | 29.24/4.71 (((!!) @ (^[Y2 : a > $o]: 29.24/4.71 (((((((!!) @ (^[Y3 : a]: 29.24/4.71 ((('#sk2' @ 29.24/4.71 Y0 @ 29.24/4.71 Y3) => 29.24/4.71 (Y2 @ Y3)))))) & 29.24/4.71 (((!!) @ (^[Y3 : a]: 29.24/4.71 (((!!) @ ( 29.24/4.71 ^[Y4 : a]: 29.24/4.71 (( 29.24/4.71 (( 29.24/4.71 (Y2 @ 29.24/4.71 Y3) & 29.24/4.71 ('#sk2' @ 29.24/4.71 Y3 @ Y4))) => 29.24/4.71 (Y2 @ Y4))))))))))) => 29.24/4.71 (Y2 @ Y1)))))))) => 29.24/4.71 (((!!) @ (^[Y2 : a > $o]: 29.24/4.71 (((((((!!) @ (^[Y3 : a]: 29.24/4.71 (((!!) @ ( 29.24/4.71 ^[Y4 : a]: 29.24/4.71 ( 29.24/4.71 ( 29.24/4.71 (( 29.24/4.71 (Y2 @ 29.24/4.71 Y3) & 29.24/4.71 (( 29.24/4.71 ('#sk2' @ 29.24/4.71 Y3 @ 29.24/4.71 Y4) | 29.24/4.71 ('#sk1' @ 29.24/4.71 Y3 @ Y4))))) => 29.24/4.71 (Y2 @ Y4))))))))) & 29.24/4.71 (((!!) @ (^[Y3 : a]: 29.24/4.71 ((((('#sk1' @ 29.24/4.71 Y0 @ 29.24/4.71 Y3) | 29.24/4.71 ('#sk2' @ 29.24/4.71 Y0 @ Y3))) => 29.24/4.71 (Y2 @ Y3)))))))) => 29.24/4.71 (Y2 @ Y1)))))))))))))) 29.24/4.71 | ~ (((!!) @ (^[Y0 : a]: 29.24/4.71 (((!!) @ (^[Y1 : a]: 29.24/4.71 (((!!) @ (^[Y2 : a]: 29.24/4.71 (((((((!!) @ (^[Y3 : a > $o]: 29.24/4.71 (((((((!!) @ ( 29.24/4.71 ^[Y4 : a]: 29.24/4.71 (( 29.24/4.71 (( 29.24/4.71 ('#sk2' @ 29.24/4.71 Y0 @ 29.24/4.71 Y4) | 29.24/4.71 ('#sk1' @ 29.24/4.71 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$o]: 29.24/4.71 (((((((!!) @ ( 29.24/4.71 ^[Y4 : a]: 29.24/4.71 ( 29.24/4.71 ( 29.24/4.71 (!!) @ ( 29.24/4.71 ^[Y5 : a]: 29.24/4.71 (( 29.24/4.71 (( 29.24/4.71 (Y3 @ 29.24/4.71 Y4) & 29.24/4.71 (( 29.24/4.71 ('#sk2' @ 29.24/4.71 Y4 @ 29.24/4.71 Y5) | 29.24/4.71 ('#sk1' @ 29.24/4.71 Y4 @ Y5))))) => 29.24/4.71 (Y3 @ Y5))))))))) & 29.24/4.71 (((!!) @ ( 29.24/4.71 ^[Y4 : a]: 29.24/4.71 ( 29.24/4.71 ( 29.24/4.71 (( 29.24/4.71 ('#sk2' @ 29.24/4.71 Y0 @ 29.24/4.71 Y4) | 29.24/4.71 ('#sk1' @ 29.24/4.71 Y0 @ Y4))) => 29.24/4.71 (Y3 @ Y4)))))))) => 29.24/4.71 (Y3 @ Y2))))))))))))))))))), 29.24/4.71 inference('simplify nested equalities', [status(thm)], 29.24/4.71 [zip_derived_cl187])). 29.24/4.71 thf(zip_derived_cl28, plain, 29.24/4.71 (( ('#form25') 29.24/4.71 | ~ (((!!) @ (^[Y0 : a]: 29.24/4.71 (((!!) @ (^[Y1 : a]: 29.24/4.71 (((((((!!) @ (^[Y2 : a > $o]: 29.24/4.71 (((((((!!) @ (^[Y3 : a]: 29.24/4.71 (((!!) @ ( 29.24/4.71 ^[Y4 : a]: 29.24/4.71 (( 29.24/4.71 (( 29.24/4.71 ('#sk1' @ 29.24/4.71 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(((((((!!) @ ( 29.24/4.71 ^[Y4 : a]: 29.24/4.71 ( 29.24/4.71 ( 29.24/4.71 (!!) @ ( 29.24/4.71 ^[Y5 : a]: 29.24/4.71 (( 29.24/4.71 (( 29.24/4.71 (Y3 @ 29.24/4.71 Y4) & 29.24/4.71 (( 29.24/4.71 ('#sk2' @ 29.24/4.71 Y4 @ 29.24/4.71 Y5) | 29.24/4.71 ('#sk1' @ 29.24/4.71 Y4 @ Y5))))) => 29.24/4.71 (Y3 @ Y5))))))))) & 29.24/4.71 (((!!) @ ( 29.24/4.71 ^[Y4 : a]: 29.24/4.71 ( 29.24/4.71 ( 29.24/4.71 (( 29.24/4.71 ('#sk2' @ 29.24/4.71 Y0 @ 29.24/4.71 Y4) | 29.24/4.71 ('#sk1' @ 29.24/4.71 Y0 @ Y4))) => 29.24/4.71 (Y3 @ Y4)))))))) => 29.24/4.71 (Y3 @ Y2))))))))))))))))))), 29.24/4.71 define([status(thm)])). 29.24/4.71 thf(zip_derived_cl190, plain, 29.24/4.71 ((~ ('#form34') 29.24/4.71 | ~ (((((!!) @ (^[Y0 : a]: 29.24/4.71 ((((('#sk2' @ '#sk3' @ Y0) | ('#sk1' @ '#sk3' @ Y0))) => 29.24/4.71 ('#sk5' @ Y0)))))) & 29.24/4.71 (((!!) @ (^[Y0 : a]: 29.24/4.71 (((!!) @ (^[Y1 : a]: 29.24/4.71 ((((('#sk5' @ Y0) & 29.24/4.71 ((('#sk1' @ Y0 @ Y1) | ('#sk2' @ 29.24/4.71 Y0 @ Y1))))) => 29.24/4.71 ('#sk5' @ 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(((!!) @ (^[Y1 : a]: 29.24/4.71 (((((((!!) @ (^[Y2 : a > $o]: 29.24/4.71 (((((((!!) @ (^[Y3 : a]: 29.24/4.71 ( 29.24/4.71 ( 29.24/4.71 (!!) @ ( 29.24/4.71 ^[Y4 : a]: 29.24/4.71 (( 29.24/4.71 (( 29.24/4.71 ('#sk1' @ 29.24/4.71 Y3 @ 29.24/4.71 Y4) & 29.24/4.71 (Y2 @ Y3))) => 29.24/4.71 (Y2 @ Y4))))))))) & 29.24/4.71 (((!!) @ (^[Y3 : a]: 29.24/4.71 ( 29.24/4.71 ( 29.24/4.71 ('#sk1' @ 29.24/4.71 Y0 @ 29.24/4.71 Y3) => 29.24/4.71 (Y2 @ Y3)))))))) => 29.24/4.71 (Y2 @ Y1)))))) | 29.24/4.71 (((!!) @ (^[Y2 : a > $o]: 29.24/4.71 (((((((!!) @ (^[Y3 : a]: 29.24/4.71 ( 29.24/4.71 ( 29.24/4.71 ('#sk2' @ 29.24/4.71 Y0 @ 29.24/4.71 Y3) => 29.24/4.71 (Y2 @ Y3)))))) & 29.24/4.71 (((!!) @ (^[Y3 : a]: 29.24/4.71 ( 29.24/4.71 ( 29.24/4.71 (!!) @ ( 29.24/4.71 ^[Y4 : a]: 29.24/4.71 (( 29.24/4.71 (( 29.24/4.71 (Y2 @ 29.24/4.71 Y3) & 29.24/4.71 ('#sk2' @ 29.24/4.71 Y3 @ Y4))) => 29.24/4.71 (Y2 @ Y4))))))))))) => 29.24/4.71 (Y2 @ Y1)))))))) => 29.24/4.71 (((!!) @ (^[Y2 : a > $o]: 29.24/4.71 (((((((!!) @ (^[Y3 : 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(( 29.24/4.71 ('#sk2' @ 29.24/4.71 Y4 @ 29.24/4.71 Y5) | 29.24/4.71 ('#sk1' @ 29.24/4.71 Y4 @ Y5))))) => 29.24/4.71 (Y3 @ Y5))))))))) & 29.24/4.71 (((!!) @ ( 29.24/4.71 ^[Y4 : a]: 29.24/4.71 (( 29.24/4.71 (( 29.24/4.71 ('#sk2' @ 29.24/4.71 Y0 @ 29.24/4.71 Y4) | 29.24/4.71 ('#sk1' @ 29.24/4.71 Y0 @ Y4))) => 29.24/4.71 (Y3 @ Y4)))))))) => 29.24/4.71 (Y3 @ Y2))))))))))))))))) 29.24/4.71 | (X2 @ '#sk4'))), 29.24/4.71 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl21])). 29.24/4.71 thf(zip_derived_cl28, plain, 29.24/4.71 (( ('#form25') 29.24/4.71 | ~ (((!!) @ (^[Y0 : a]: 29.24/4.71 (((!!) @ (^[Y1 : a]: 29.24/4.71 (((((((!!) @ (^[Y2 : a > $o]: 29.24/4.71 (((((((!!) @ (^[Y3 : a]: 29.24/4.71 (((!!) @ ( 29.24/4.71 ^[Y4 : a]: 29.24/4.71 (( 29.24/4.71 (( 29.24/4.71 ('#sk1' @ 29.24/4.71 Y3 @ 29.24/4.71 Y4) & 29.24/4.71 (Y2 @ Y3))) => 29.24/4.71 (Y2 @ Y4))))))))) & 29.24/4.71 (((!!) @ (^[Y3 : a]: 29.24/4.71 ((('#sk1' @ 29.24/4.71 Y0 @ 29.24/4.71 Y3) => 29.24/4.71 (Y2 @ Y3)))))))) => 29.24/4.71 (Y2 @ Y1)))))) | 29.24/4.71 (((!!) @ (^[Y2 : a > $o]: 29.24/4.71 (((((((!!) @ (^[Y3 : a]: 29.24/4.71 ((('#sk2' @ 29.24/4.71 Y0 @ 29.24/4.71 Y3) => 29.24/4.71 (Y2 @ Y3)))))) & 29.24/4.71 (((!!) @ (^[Y3 : a]: 29.24/4.71 (((!!) @ ( 29.24/4.71 ^[Y4 : a]: 29.24/4.71 (( 29.24/4.71 (( 29.24/4.71 (Y2 @ 29.24/4.71 Y3) & 29.24/4.71 ('#sk2' @ 29.24/4.71 Y3 @ Y4))) => 29.24/4.71 (Y2 @ Y4))))))))))) => 29.24/4.71 (Y2 @ Y1)))))))) => 29.24/4.71 (((!!) @ (^[Y2 : a > $o]: 29.24/4.71 (((((((!!) @ (^[Y3 : a]: 29.24/4.71 (((!!) @ ( 29.24/4.71 ^[Y4 : a]: 29.24/4.71 ( 29.24/4.71 ( 29.24/4.71 (( 29.24/4.71 (Y2 @ 29.24/4.71 Y3) & 29.24/4.71 (( 29.24/4.71 ('#sk2' @ 29.24/4.71 Y3 @ 29.24/4.71 Y4) | 29.24/4.71 ('#sk1' @ 29.24/4.71 Y3 @ Y4))))) => 29.24/4.71 (Y2 @ Y4))))))))) & 29.24/4.71 (((!!) @ (^[Y3 : a]: 29.24/4.71 ((((('#sk1' @ 29.24/4.71 Y0 @ 29.24/4.71 Y3) | 29.24/4.71 ('#sk2' @ 29.24/4.71 Y0 @ Y3))) => 29.24/4.71 (Y2 @ Y3)))))))) => 29.24/4.71 (Y2 @ Y1)))))))))))))))), 29.24/4.71 define([status(thm)])). 29.24/4.71 thf(zip_derived_cl31, plain, 29.24/4.71 (![X2 : a > $o]: 29.24/4.71 (~ ('#form25') 29.24/4.71 | (X2 @ '#sk4') 29.24/4.71 | ~ (((!!) @ (^[Y0 : a]: 29.24/4.71 (((!!) @ (^[Y1 : a]: 29.24/4.71 (((!!) @ (^[Y2 : a]: 29.24/4.71 (((((((!!) @ (^[Y3 : a > $o]: 29.24/4.71 (((((( 29.24/4.71 (!!) @ ( 29.24/4.71 ^[Y4 : a]: 29.24/4.71 (( 29.24/4.71 (( 29.24/4.71 ('#sk2' @ 29.24/4.71 Y0 @ 29.24/4.71 Y4) | 29.24/4.71 ('#sk1' @ 29.24/4.71 Y0 @ Y4))) => 29.24/4.71 (Y3 @ Y4)))))) & 29.24/4.71 (( 29.24/4.71 (!!) @ ( 29.24/4.71 ^[Y4 : a]: 29.24/4.71 (( 29.24/4.71 (!!) @ ( 29.24/4.71 ^[Y5 : a]: 29.24/4.71 (( 29.24/4.71 (( 29.24/4.71 (Y3 @ 29.24/4.71 Y4) & 29.24/4.71 (( 29.24/4.71 ('#sk2' @ 29.24/4.71 Y4 @ 29.24/4.71 Y5) | 29.24/4.71 ('#sk1' @ 29.24/4.71 Y4 @ Y5))))) => 29.24/4.71 (Y3 @ Y5))))))))))) => 29.24/4.71 (Y3 @ Y1)))))) & 29.24/4.71 (((!!) @ (^[Y3 : a > $o]: 29.24/4.71 (((((( 29.24/4.71 (!!) @ ( 29.24/4.71 ^[Y4 : a]: 29.24/4.71 (( 29.24/4.71 (( 29.24/4.71 ('#sk1' @ 29.24/4.71 Y1 @ 29.24/4.71 Y4) | 29.24/4.71 ('#sk2' @ 29.24/4.71 Y1 @ Y4))) => 29.24/4.71 (Y3 @ Y4)))))) & 29.24/4.71 (( 29.24/4.71 (!!) @ ( 29.24/4.71 ^[Y4 : a]: 29.24/4.71 (( 29.24/4.71 (!!) @ ( 29.24/4.71 ^[Y5 : a]: 29.24/4.71 (( 29.24/4.71 (( 29.24/4.71 (Y3 @ 29.24/4.71 Y4) & 29.24/4.71 (( 29.24/4.71 ('#sk2' @ 29.24/4.71 Y4 @ 29.24/4.71 Y5) | 29.24/4.71 ('#sk1' @ 29.24/4.71 Y4 @ Y5))))) => 29.24/4.71 (Y3 @ Y5))))))))))) => 29.24/4.71 (Y3 @ Y2)))))))) => 29.24/4.71 (((!!) @ (^[Y3 : a > $o]: 29.24/4.71 (((((((!!) @ ( 29.24/4.71 ^[Y4 : a]: 29.24/4.71 (( 29.24/4.71 (!!) @ ( 29.24/4.71 ^[Y5 : a]: 29.24/4.71 (( 29.24/4.71 (( 29.24/4.71 (Y3 @ 29.24/4.71 Y4) & 29.24/4.71 (( 29.24/4.71 ('#sk2' @ 29.24/4.71 Y4 @ 29.24/4.71 Y5) | 29.24/4.71 ('#sk1' @ 29.24/4.71 Y4 @ Y5))))) => 29.24/4.71 (Y3 @ Y5))))))))) & 29.24/4.71 (((!!) @ ( 29.24/4.71 ^[Y4 : a]: 29.24/4.71 (( 29.24/4.71 (( 29.24/4.71 ('#sk2' @ 29.24/4.71 Y0 @ 29.24/4.71 Y4) | 29.24/4.71 ('#sk1' @ 29.24/4.71 Y0 @ Y4))) => 29.24/4.71 (Y3 @ Y4)))))))) => 29.24/4.71 (Y3 @ Y2))))))))))))))))) 29.24/4.71 | ~ (((!!) @ (^[Y0 : a]: 29.24/4.71 (((!!) @ (^[Y1 : a]: 29.24/4.71 (((((X2 @ Y0) & 29.24/4.71 ((('#sk1' @ Y0 @ Y1) | ('#sk2' @ 29.24/4.71 Y0 @ Y1))))) => 29.24/4.71 (X2 @ Y1))))))))) 29.24/4.71 | ~ (X2 @ ('#sk15' @ X2)))), 29.24/4.71 inference('renaming', [status(thm)], [zip_derived_cl26, zip_derived_cl28])). 29.24/4.71 thf(zip_derived_cl34, plain, 29.24/4.71 (( ('#form34') 29.24/4.71 | ~ (((!!) @ (^[Y0 : a]: 29.24/4.71 (((!!) @ (^[Y1 : a]: 29.24/4.71 (((!!) @ (^[Y2 : a]: 29.24/4.71 (((((((!!) @ (^[Y3 : a > $o]: 29.24/4.71 (((((((!!) @ ( 29.24/4.71 ^[Y4 : a]: 29.24/4.71 (( 29.24/4.71 (( 29.24/4.71 ('#sk2' @ 29.24/4.71 Y0 @ 29.24/4.71 Y4) | 29.24/4.71 ('#sk1' @ 29.24/4.71 Y0 @ Y4))) => 29.24/4.71 (Y3 @ Y4)))))) & 29.24/4.71 (((!!) @ ( 29.24/4.71 ^[Y4 : a]: 29.24/4.71 (( 29.24/4.71 (!!) @ ( 29.24/4.71 ^[Y5 : a]: 29.24/4.71 (( 29.24/4.71 (( 29.24/4.71 (Y3 @ 29.24/4.71 Y4) & 29.24/4.71 (( 29.24/4.71 ('#sk2' @ 29.24/4.71 Y4 @ 29.24/4.71 Y5) | 29.24/4.71 ('#sk1' @ 29.24/4.71 Y4 @ Y5))))) => 29.24/4.71 (Y3 @ Y5))))))))))) => 29.24/4.71 (Y3 @ Y1)))))) & 29.24/4.71 (((!!) @ (^[Y3 : a > $o]: 29.24/4.71 (((((((!!) @ ( 29.24/4.71 ^[Y4 : a]: 29.24/4.71 (( 29.24/4.71 (( 29.24/4.71 ('#sk1' @ 29.24/4.71 Y1 @ 29.24/4.71 Y4) | 29.24/4.71 ('#sk2' @ 29.24/4.71 Y1 @ Y4))) => 29.24/4.71 (Y3 @ Y4)))))) & 29.24/4.71 (((!!) @ ( 29.24/4.71 ^[Y4 : a]: 29.24/4.71 (( 29.24/4.71 (!!) @ ( 29.24/4.71 ^[Y5 : a]: 29.24/4.71 (( 29.24/4.71 (( 29.24/4.71 (Y3 @ 29.24/4.71 Y4) & 29.24/4.71 (( 29.24/4.71 ('#sk2' @ 29.24/4.71 Y4 @ 29.24/4.71 Y5) | 29.24/4.71 ('#sk1' @ 29.24/4.71 Y4 @ Y5))))) => 29.24/4.71 (Y3 @ Y5))))))))))) => 29.24/4.71 (Y3 @ Y2)))))))) => 29.24/4.71 (((!!) @ (^[Y3 : a > $o]: 29.24/4.71 (((((((!!) @ ( 29.24/4.71 ^[Y4 : a]: 29.24/4.71 ( 29.24/4.71 ( 29.24/4.71 (!!) @ ( 29.24/4.71 ^[Y5 : a]: 29.24/4.71 (( 29.24/4.71 (( 29.24/4.71 (Y3 @ 29.24/4.71 Y4) & 29.24/4.71 (( 29.24/4.71 ('#sk2' @ 29.24/4.71 Y4 @ 29.24/4.71 Y5) | 29.24/4.71 ('#sk1' @ 29.24/4.71 Y4 @ Y5))))) => 29.24/4.71 (Y3 @ Y5))))))))) & 29.24/4.71 (((!!) @ ( 29.24/4.71 ^[Y4 : a]: 29.24/4.71 ( 29.24/4.71 ( 29.24/4.71 (( 29.24/4.71 ('#sk2' @ 29.24/4.71 Y0 @ 29.24/4.71 Y4) | 29.24/4.71 ('#sk1' @ 29.24/4.71 Y0 @ Y4))) => 29.24/4.71 (Y3 @ Y4)))))))) => 29.24/4.71 (Y3 @ Y2))))))))))))))))))), 29.24/4.71 define([status(thm)])). 29.24/4.71 thf(zip_derived_cl38, plain, 29.24/4.71 (![X2 : a > $o]: 29.24/4.71 (~ ('#form34') 29.24/4.71 | ~ (X2 @ ('#sk15' @ X2)) 29.24/4.71 | ~ (((!!) @ (^[Y0 : a]: 29.24/4.71 (((!!) @ (^[Y1 : a]: 29.24/4.71 (((((X2 @ Y0) & 29.24/4.71 ((('#sk1' @ Y0 @ Y1) | ('#sk2' @ 29.24/4.71 Y0 @ Y1))))) => 29.24/4.71 (X2 @ Y1))))))))) 29.24/4.71 | (X2 @ '#sk4') 29.24/4.71 | ~ ('#form25'))), 29.24/4.71 inference('renaming', [status(thm)], [zip_derived_cl31, zip_derived_cl34])). 29.24/4.71 thf(zip_derived_cl43, plain, 29.24/4.71 (![X2 : a > $o]: 29.24/4.71 ( ('#form48' @ X2) 29.24/4.71 | ~ (((!!) @ (^[Y0 : a]: 29.24/4.71 (((!!) @ (^[Y1 : a]: 29.24/4.71 (((((X2 @ Y0) & 29.24/4.71 ((('#sk1' @ Y0 @ Y1) | ('#sk2' @ 29.24/4.71 Y0 @ Y1))))) => 29.24/4.71 (X2 @ Y1))))))))))), 29.24/4.71 define([status(thm)])). 29.24/4.71 thf(zip_derived_cl192, plain, 29.24/4.71 ((~ ('#form48' @ '#sk5') 29.24/4.71 | ~ ('#form34') 29.24/4.71 | ~ ('#form25') 29.24/4.71 | ~ (((!!) @ (^[Y0 : a]: 29.24/4.71 ((((('#sk2' @ '#sk3' @ Y0) | ('#sk1' @ '#sk3' @ Y0))) => 29.24/4.71 ('#sk5' @ Y0)))))))), 29.24/4.71 inference('renaming', [status(thm)], 29.24/4.71 [zip_derived_cl191, zip_derived_cl43])). 29.24/4.71 thf(zip_derived_cl193, plain, 29.24/4.71 ((~ ((((('#sk2' @ '#sk3' @ ('#sk15' @ '#sk5')) | ('#sk1' @ '#sk3' @ 29.24/4.71 ('#sk15' @ '#sk5')))) => 29.24/4.71 ('#sk5' @ ('#sk15' @ '#sk5')))) 29.24/4.71 | ~ ('#form25') 29.24/4.71 | ~ ('#form34') 29.24/4.71 | ~ ('#form48' @ '#sk5'))), 29.24/4.71 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl192])). 29.24/4.71 thf(zip_derived_cl194, plain, 29.24/4.71 (( ((('#sk2' @ '#sk3' @ ('#sk15' @ '#sk5')) | ('#sk1' @ '#sk3' @ 29.24/4.71 ('#sk15' @ '#sk5')))) 29.24/4.71 | ~ ('#form48' @ '#sk5') 29.24/4.71 | ~ ('#form34') 29.24/4.71 | ~ ('#form25'))), 29.24/4.71 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl193])). 29.24/4.71 thf(zip_derived_cl196, plain, 29.24/4.71 (( ('#sk2' @ '#sk3' @ ('#sk15' @ '#sk5')) 29.24/4.71 | ('#sk1' @ '#sk3' @ ('#sk15' @ '#sk5')) 29.24/4.71 | ~ ('#form25') 29.24/4.71 | ~ ('#form34') 29.24/4.71 | ~ ('#form48' @ '#sk5'))), 29.24/4.71 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl194])). 29.24/4.71 thf(zip_derived_cl55, plain, 29.24/4.71 (![X2 : a > $o]: 29.24/4.71 ( (((((((!!) @ (^[Y0 : a]: 29.24/4.71 (((!!) @ (^[Y1 : a]: 29.24/4.71 ((((('#sk1' @ Y0 @ Y1) & (X2 @ Y0))) => 29.24/4.71 (X2 @ Y1))))))))) & 29.24/4.71 (((!!) @ (^[Y0 : a]: ((('#sk1' @ '#sk26' @ Y0) => (X2 @ Y0)))))))) => 29.24/4.71 (X2 @ '#sk36'))) 29.24/4.71 | ('#form25') 29.24/4.71 | (((!!) @ (^[Y0 : a > $o]: 29.24/4.71 (((((((!!) @ (^[Y1 : a]: 29.24/4.71 ((('#sk2' @ '#sk26' @ Y1) => (Y0 @ Y1)))))) & 29.24/4.71 (((!!) @ (^[Y1 : a]: 29.24/4.71 (((!!) @ (^[Y2 : a]: 29.24/4.71 (((((Y0 @ Y1) & ('#sk2' @ 29.24/4.71 Y1 @ Y2))) => 29.24/4.71 (Y0 @ Y2))))))))))) => 29.24/4.71 (Y0 @ '#sk36')))))))), 29.24/4.71 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl48])). 29.24/4.71 thf(zip_derived_cl56, plain, 29.24/4.71 (( (((((((!!) @ (^[Y0 : a]: 29.24/4.71 (((!!) @ (^[Y1 : a]: 29.24/4.71 ((((('#sk1' @ Y0 @ Y1) & ('#sk55' @ Y0))) => 29.24/4.71 ('#sk55' @ Y1))))))))) & 29.24/4.71 (((!!) @ (^[Y0 : a]: ((('#sk1' @ '#sk26' @ Y0) => ('#sk55' @ Y0)))))))) => 29.24/4.71 ('#sk55' @ '#sk36'))) 29.24/4.71 | ('#form25') 29.24/4.71 | (((!!) @ (^[Y0 : a > $o]: 29.24/4.71 (((((((!!) @ (^[Y1 : a]: 29.24/4.71 ((('#sk2' @ '#sk26' @ Y1) => (Y0 @ Y1)))))) & 29.24/4.71 (((!!) @ (^[Y1 : a]: 29.24/4.71 (((!!) @ (^[Y2 : a]: 29.24/4.71 (((((Y0 @ Y1) & ('#sk2' @ 29.24/4.71 Y1 @ Y2))) => 29.24/4.71 (Y0 @ Y2))))))))))) => 29.24/4.71 (Y0 @ '#sk36')))))))), 29.24/4.71 inference('triggered_bool_instantiation', [status(thm)], 29.24/4.71 [zip_derived_cl55])). 29.24/4.71 thf(zip_derived_cl67, plain, 29.24/4.71 ((~ ('#form81') 29.24/4.71 | (((!!) @ (^[Y0 : a > $o]: 29.24/4.71 (((((((!!) @ (^[Y1 : a]: 29.24/4.71 ((('#sk2' @ '#sk26' @ Y1) => (Y0 @ Y1)))))) & 29.24/4.71 (((!!) @ (^[Y1 : a]: 29.24/4.71 (((!!) @ (^[Y2 : a]: 29.24/4.71 (((((Y0 @ Y1) & ('#sk2' @ 29.24/4.71 Y1 @ Y2))) => 29.24/4.71 (Y0 @ Y2))))))))))) => 29.24/4.71 (Y0 @ '#sk36')))))))), 29.24/4.71 define([status(thm)])). 29.24/4.71 thf(zip_derived_cl292, plain, 29.24/4.71 (( ('#form81') 29.24/4.71 | ('#form25') 29.24/4.71 | (((((((!!) @ (^[Y0 : a]: 29.24/4.71 (((!!) @ (^[Y1 : a]: 29.24/4.71 ((((('#sk1' @ Y0 @ Y1) & ('#sk55' @ Y0))) => 29.24/4.71 ('#sk55' @ Y1))))))))) & 29.24/4.71 (((!!) @ (^[Y0 : a]: 29.24/4.71 ((('#sk1' @ '#sk26' @ Y0) => ('#sk55' @ Y0)))))))) => 29.24/4.71 ('#sk55' @ '#sk36'))))), 29.24/4.71 inference('renaming', [status(thm)], [zip_derived_cl56, zip_derived_cl67])). 29.24/4.71 thf(zip_derived_cl293, plain, 29.24/4.71 ((~ (((((!!) @ (^[Y0 : a]: 29.24/4.71 (((!!) @ (^[Y1 : a]: 29.24/4.71 ((((('#sk1' @ Y0 @ Y1) & ('#sk55' @ Y0))) => 29.24/4.71 ('#sk55' @ Y1))))))))) & 29.24/4.71 (((!!) @ (^[Y0 : a]: ((('#sk1' @ '#sk26' @ Y0) => ('#sk55' @ Y0)))))))) 29.24/4.71 | ('#sk55' @ '#sk36') 29.24/4.71 | ('#form25') 29.24/4.71 | ('#form81'))), 29.24/4.71 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl292])). 29.24/4.71 thf(zip_derived_cl59, plain, ((~ ('#sk55' @ '#sk36') | ('#form25'))), 29.24/4.71 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl50])). 29.24/4.71 thf(zip_derived_cl294, plain, 29.24/4.71 (( ('#form81') 29.24/4.71 | ('#form25') 29.24/4.71 | ~ (((((!!) @ (^[Y0 : a]: 29.24/4.71 (((!!) @ (^[Y1 : a]: 29.24/4.71 ((((('#sk1' @ Y0 @ Y1) & ('#sk55' @ Y0))) => 29.24/4.71 ('#sk55' @ Y1))))))))) & 29.24/4.71 (((!!) @ (^[Y0 : a]: 29.24/4.71 ((('#sk1' @ '#sk26' @ Y0) => ('#sk55' @ Y0)))))))))), 29.24/4.71 inference('clc', [status(thm)], [zip_derived_cl293, zip_derived_cl59])). 29.24/4.71 thf(zip_derived_cl295, plain, 29.24/4.71 ((~ (((!!) @ (^[Y0 : a]: 29.24/4.71 (((!!) @ (^[Y1 : a]: 29.24/4.71 ((((('#sk1' @ Y0 @ Y1) & ('#sk55' @ Y0))) => 29.24/4.71 ('#sk55' @ Y1))))))))) 29.24/4.71 | ~ (((!!) @ (^[Y0 : a]: ((('#sk1' @ '#sk26' @ Y0) => ('#sk55' @ Y0)))))) 29.24/4.71 | ('#form25') 29.24/4.71 | ('#form81'))), 29.24/4.71 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl294])). 29.24/4.71 thf(zip_derived_cl55, plain, 29.24/4.71 (![X2 : a > $o]: 29.24/4.71 ( (((((((!!) @ (^[Y0 : a]: 29.24/4.71 (((!!) @ (^[Y1 : a]: 29.24/4.71 ((((('#sk1' @ Y0 @ Y1) & (X2 @ Y0))) => 29.24/4.71 (X2 @ Y1))))))))) & 29.24/4.71 (((!!) @ (^[Y0 : a]: ((('#sk1' @ '#sk26' @ Y0) => (X2 @ Y0)))))))) => 29.24/4.71 (X2 @ '#sk36'))) 29.24/4.71 | ('#form25') 29.24/4.71 | (((!!) @ (^[Y0 : a > $o]: 29.24/4.71 (((((((!!) @ (^[Y1 : a]: 29.24/4.71 ((('#sk2' @ '#sk26' @ Y1) => (Y0 @ Y1)))))) & 29.24/4.71 (((!!) @ (^[Y1 : a]: 29.24/4.71 (((!!) @ (^[Y2 : a]: 29.24/4.71 (((((Y0 @ Y1) & ('#sk2' @ 29.24/4.71 Y1 @ Y2))) => 29.24/4.71 (Y0 @ Y2))))))))))) => 29.24/4.71 (Y0 @ '#sk36')))))))), 29.24/4.71 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl48])). 29.24/4.71 thf(zip_derived_cl67, plain, 29.24/4.71 ((~ ('#form81') 29.24/4.71 | (((!!) @ (^[Y0 : a > $o]: 29.24/4.71 (((((((!!) @ (^[Y1 : a]: 29.24/4.71 ((('#sk2' @ '#sk26' @ Y1) => (Y0 @ Y1)))))) & 29.24/4.71 (((!!) @ (^[Y1 : a]: 29.24/4.71 (((!!) @ (^[Y2 : a]: 29.24/4.71 (((((Y0 @ Y1) & ('#sk2' @ 29.24/4.71 Y1 @ Y2))) => 29.24/4.71 (Y0 @ Y2))))))))))) => 29.24/4.71 (Y0 @ '#sk36')))))))), 29.24/4.71 define([status(thm)])). 29.24/4.71 thf(zip_derived_cl72, plain, 29.24/4.71 (![X2 : a > $o]: 29.24/4.71 ( ('#form81') 29.24/4.71 | ('#form25') 29.24/4.71 | (((((((!!) @ (^[Y0 : a]: 29.24/4.71 (((!!) @ (^[Y1 : a]: 29.24/4.71 ((((('#sk1' @ Y0 @ Y1) & (X2 @ Y0))) => 29.24/4.71 (X2 @ Y1))))))))) & 29.24/4.71 (((!!) @ (^[Y0 : a]: ((('#sk1' @ '#sk26' @ Y0) => (X2 @ Y0)))))))) => 29.24/4.71 (X2 @ '#sk36'))))), 29.24/4.71 inference('renaming', [status(thm)], [zip_derived_cl55, zip_derived_cl67])). 29.24/4.71 thf(zip_derived_cl87, plain, 29.24/4.71 (![X2 : a > $o]: 29.24/4.71 (~ (((((!!) @ (^[Y0 : a]: 29.24/4.71 (((!!) @ (^[Y1 : a]: 29.24/4.71 ((((('#sk1' @ Y0 @ Y1) & (X2 @ Y0))) => 29.24/4.71 (X2 @ Y1))))))))) & 29.24/4.71 (((!!) @ (^[Y0 : a]: ((('#sk1' @ '#sk26' @ Y0) => (X2 @ Y0)))))))) 29.24/4.71 | (X2 @ '#sk36') 29.24/4.71 | ('#form25') 29.24/4.71 | ('#form81'))), 29.24/4.71 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl72])). 29.24/4.71 thf(zip_derived_cl96, plain, 29.24/4.71 (![X2 : a > $o]: 29.24/4.71 (~ (((!!) @ (^[Y0 : a]: 29.24/4.71 (((!!) @ (^[Y1 : a]: 29.24/4.72 ((((('#sk1' @ Y0 @ Y1) & (X2 @ Y0))) => 29.24/4.72 (X2 @ Y1))))))))) 29.24/4.72 | ~ (((!!) @ (^[Y0 : a]: ((('#sk1' @ '#sk26' @ Y0) => (X2 @ Y0)))))) 29.24/4.72 | ('#form81') 29.24/4.72 | ('#form25') 29.24/4.72 | (X2 @ '#sk36'))), 29.24/4.72 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl87])). 29.24/4.72 thf(zip_derived_cl104, plain, 29.24/4.72 (![X2 : a > $o]: 29.24/4.72 (~ (((!!) @ (^[Y0 : a]: 29.24/4.72 ((((('#sk1' @ ('#sk129' @ X2) @ Y0) & (X2 @ 29.24/4.72 ('#sk129' @ X2)))) => 29.24/4.72 (X2 @ Y0)))))) 29.24/4.72 | (X2 @ '#sk36') 29.24/4.72 | ('#form25') 29.24/4.72 | ('#form81') 29.24/4.72 | ~ (((!!) @ (^[Y0 : a]: ((('#sk1' @ '#sk26' @ Y0) => (X2 @ Y0)))))))), 29.24/4.72 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl96])). 29.24/4.72 thf(zip_derived_cl113, plain, 29.24/4.72 (![X2 : a > $o]: 29.24/4.72 (~ ((((('#sk1' @ ('#sk129' @ X2) @ ('#sk146' @ X2)) & (X2 @ 29.24/4.72 ('#sk129' @ X2)))) => 29.24/4.72 (X2 @ ('#sk146' @ X2)))) 29.24/4.72 | ~ (((!!) @ (^[Y0 : a]: ((('#sk1' @ '#sk26' @ Y0) => (X2 @ Y0)))))) 29.24/4.72 | ('#form81') 29.24/4.72 | ('#form25') 29.24/4.72 | (X2 @ '#sk36'))), 29.24/4.72 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl104])). 29.24/4.72 thf(zip_derived_cl126, plain, 29.24/4.72 (![X2 : a > $o]: 29.24/4.72 (~ (X2 @ ('#sk146' @ X2)) 29.24/4.72 | (X2 @ '#sk36') 29.24/4.72 | ('#form25') 29.24/4.72 | ('#form81') 29.24/4.72 | ~ (((!!) @ (^[Y0 : a]: ((('#sk1' @ '#sk26' @ Y0) => (X2 @ Y0)))))))), 29.24/4.72 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl113])). 29.24/4.72 thf(zip_derived_cl139, plain, 29.24/4.72 (![X2 : a > $o]: 29.24/4.72 ( ('#form198' @ X2) 29.24/4.72 | ~ (((!!) @ (^[Y0 : a]: ((('#sk1' @ '#sk26' @ Y0) => (X2 @ Y0)))))))), 29.24/4.72 define([status(thm)])). 29.24/4.72 thf(zip_derived_cl296, plain, 29.24/4.72 ((~ ('#form198' @ '#sk55') 29.24/4.72 | ('#form81') 29.24/4.72 | ('#form25') 29.24/4.72 | ~ (((!!) @ (^[Y0 : a]: 29.24/4.72 (((!!) @ (^[Y1 : a]: 29.24/4.72 ((((('#sk1' @ Y0 @ Y1) & ('#sk55' @ Y0))) => 29.24/4.72 ('#sk55' @ Y1))))))))))), 29.24/4.72 inference('renaming', [status(thm)], 29.24/4.72 [zip_derived_cl295, zip_derived_cl139])). 29.24/4.72 thf(zip_derived_cl297, plain, 29.24/4.72 ((~ (((!!) @ (^[Y0 : a]: 29.24/4.72 ((((('#sk1' @ ('#sk129' @ '#sk55') @ Y0) & ('#sk55' @ 29.24/4.72 ('#sk129' @ '#sk55')))) => 29.24/4.72 ('#sk55' @ Y0)))))) 29.24/4.72 | ('#form25') 29.24/4.72 | ('#form81') 29.24/4.72 | ~ ('#form198' @ '#sk55'))), 29.24/4.72 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl296])). 29.24/4.72 thf(zip_derived_cl298, plain, 29.24/4.72 ((~ ((((('#sk1' @ ('#sk129' @ '#sk55') @ ('#sk146' @ '#sk55')) & 29.24/4.72 ('#sk55' @ ('#sk129' @ '#sk55')))) => 29.24/4.72 ('#sk55' @ ('#sk146' @ '#sk55')))) 29.24/4.72 | ~ ('#form198' @ '#sk55') 29.24/4.72 | ('#form81') 29.24/4.72 | ('#form25'))), 29.24/4.72 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl297])). 29.24/4.72 thf(zip_derived_cl300, plain, 29.24/4.72 ((~ ('#sk55' @ ('#sk146' @ '#sk55')) 29.24/4.72 | ('#form25') 29.24/4.72 | ('#form81') 29.24/4.72 | ~ ('#form198' @ '#sk55'))), 29.24/4.72 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl298])). 29.24/4.72 thf(zip_derived_cl299, plain, 29.24/4.72 (( ((('#sk1' @ ('#sk129' @ '#sk55') @ ('#sk146' @ '#sk55')) & ('#sk55' @ 29.24/4.72 ('#sk129' @ '#sk55')))) 29.24/4.72 | ('#form25') 29.24/4.72 | ('#form81') 29.24/4.72 | ~ ('#form198' @ '#sk55'))), 29.24/4.72 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl298])). 29.24/4.72 thf(zip_derived_cl302, plain, 29.24/4.72 (( ('#sk55' @ ('#sk129' @ '#sk55')) 29.24/4.72 | ~ ('#form198' @ '#sk55') 29.24/4.72 | ('#form81') 29.24/4.72 | ('#form25'))), 29.24/4.72 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl299])). 29.24/4.72 thf(zip_derived_cl301, plain, 29.24/4.72 (( ('#sk1' @ ('#sk129' @ '#sk55') @ ('#sk146' @ '#sk55')) 29.24/4.72 | ~ ('#form198' @ '#sk55') 29.24/4.72 | ('#form81') 29.24/4.72 | ('#form25'))), 29.24/4.72 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl299])). 29.24/4.72 thf(zip_derived_cl130, plain, 29.24/4.72 (![X2 : a, X4 : a]: 29.24/4.72 (~ ('#sk1' @ X2 @ X4) 29.24/4.72 | ('#sk55' @ X4) 29.24/4.72 | ('#form25') 29.24/4.72 | ~ ('#sk55' @ X2))), 29.24/4.72 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl116])). 29.24/4.72 thf(zip_derived_cl43, plain, 29.24/4.72 (![X2 : a > $o]: 29.24/4.72 ( ('#form48' @ X2) 29.24/4.72 | ~ (((!!) @ (^[Y0 : a]: 29.24/4.72 (((!!) @ (^[Y1 : a]: 29.24/4.72 (((((X2 @ Y0) & 29.24/4.72 ((('#sk1' @ Y0 @ Y1) | ('#sk2' @ 29.24/4.72 Y0 @ Y1))))) => 29.24/4.72 (X2 @ Y1))))))))))), 29.24/4.72 define([status(thm)])). 29.24/4.72 thf(zip_derived_cl44, plain, 29.24/4.72 (![X2 : a > $o]: 29.24/4.72 (~ (((!!) @ (^[Y0 : a]: 29.24/4.72 (((((X2 @ ('#sk49' @ X2)) & 29.24/4.72 ((('#sk1' @ ('#sk49' @ X2) @ Y0) | ('#sk2' @ 29.24/4.72 ('#sk49' @ X2) @ Y0))))) => 29.24/4.72 (X2 @ Y0)))))) 29.24/4.72 | ('#form48' @ X2))), 29.24/4.72 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl43])). 29.24/4.72 thf(zip_derived_cl51, plain, 29.24/4.72 (![X2 : a > $o]: 29.24/4.72 (~ (((((X2 @ ('#sk49' @ X2)) & 29.24/4.72 ((('#sk1' @ ('#sk49' @ X2) @ ('#sk63' @ X2)) | ('#sk2' @ 29.24/4.72 ('#sk49' @ X2) @ ('#sk63' @ X2)))))) => 29.24/4.72 (X2 @ ('#sk63' @ X2)))) 29.24/4.72 | ('#form48' @ X2))), 29.24/4.72 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl44])). 29.24/4.72 thf(zip_derived_cl60, plain, 29.24/4.72 (![X2 : a > $o]: 29.24/4.72 ( (((X2 @ ('#sk49' @ X2)) & 29.24/4.72 ((('#sk1' @ ('#sk49' @ X2) @ ('#sk63' @ X2)) | ('#sk2' @ 29.24/4.72 ('#sk49' @ X2) @ ('#sk63' @ X2)))))) 29.24/4.72 | ('#form48' @ X2))), 29.24/4.72 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl51])). 29.24/4.72 thf(zip_derived_cl75, plain, 29.24/4.72 (![X2 : a > $o]: ( (X2 @ ('#sk49' @ X2)) | ('#form48' @ X2))), 29.24/4.72 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl60])). 29.24/4.72 thf(zip_derived_cl195, plain, 29.24/4.72 ((~ ('#sk5' @ ('#sk15' @ '#sk5')) 29.24/4.72 | ~ ('#form48' @ '#sk5') 29.24/4.72 | ~ ('#form34') 29.24/4.72 | ~ ('#form25'))), 29.24/4.72 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl193])). 29.24/4.72 thf(zip_derived_cl139, plain, 29.24/4.72 (![X2 : a > $o]: 29.24/4.72 ( ('#form198' @ X2) 29.24/4.72 | ~ (((!!) @ (^[Y0 : a]: ((('#sk1' @ '#sk26' @ Y0) => (X2 @ Y0)))))))), 29.24/4.72 define([status(thm)])). 29.24/4.72 thf(zip_derived_cl140, plain, 29.24/4.72 (![X2 : a > $o]: 29.24/4.72 (~ ((('#sk1' @ '#sk26' @ ('#sk199' @ X2)) => (X2 @ ('#sk199' @ X2)))) 29.24/4.72 | ('#form198' @ X2))), 29.24/4.72 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl139])). 29.24/4.72 thf(zip_derived_cl154, plain, 29.24/4.72 (![X2 : a > $o]: 29.24/4.72 ( ('#sk1' @ '#sk26' @ ('#sk199' @ X2)) | ('#form198' @ X2))), 29.24/4.72 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl140])). 29.24/4.72 thf(zip_derived_cl155, plain, 29.24/4.72 (![X2 : a > $o]: (~ (X2 @ ('#sk199' @ X2)) | ('#form198' @ X2))), 29.24/4.72 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl140])). 29.24/4.72 thf(zip_derived_cl62, plain, 29.24/4.72 (( (((!!) @ (^[Y0 : a > $o]: 29.24/4.72 (((((((!!) @ (^[Y1 : a]: 29.24/4.72 ((((('#sk2' @ '#sk35' @ Y1) | ('#sk1' @ 29.24/4.72 '#sk35' @ Y1))) => 29.24/4.72 (Y0 @ Y1)))))) & 29.24/4.72 (((!!) @ (^[Y1 : a]: 29.24/4.72 (((!!) @ (^[Y2 : a]: 29.24/4.72 (((((Y0 @ Y1) & 29.24/4.72 ((('#sk2' @ Y1 @ Y2) | 29.24/4.72 ('#sk1' @ Y1 @ Y2))))) => 29.24/4.72 (Y0 @ Y2))))))))))) => 29.24/4.72 (Y0 @ '#sk44')))))) 29.24/4.72 | ('#form34'))), 29.24/4.72 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl53])). 29.24/4.72 thf(zip_derived_cl77, plain, 29.24/4.72 (![X2 : a > $o]: 29.24/4.72 ( (((((((!!) @ (^[Y0 : a]: 29.24/4.72 ((((('#sk2' @ '#sk35' @ Y0) | ('#sk1' @ '#sk35' @ 29.24/4.72 Y0))) => 29.24/4.72 (X2 @ Y0)))))) & 29.24/4.72 (((!!) @ (^[Y0 : a]: 29.24/4.72 (((!!) @ (^[Y1 : a]: 29.24/4.72 (((((X2 @ Y0) & 29.24/4.72 ((('#sk2' @ Y0 @ Y1) | ('#sk1' @ 29.24/4.72 Y0 @ Y1))))) => 29.24/4.72 (X2 @ Y1))))))))))) => 29.24/4.72 (X2 @ '#sk44'))) 29.24/4.72 | ('#form34'))), 29.24/4.72 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl62])). 29.24/4.72 thf(zip_derived_cl92, plain, 29.24/4.72 (![X2 : a > $o]: 29.24/4.72 (~ (((((!!) @ (^[Y0 : a]: 29.24/4.72 ((((('#sk2' @ '#sk35' @ Y0) | ('#sk1' @ '#sk35' @ Y0))) => 29.24/4.72 (X2 @ Y0)))))) & 29.24/4.72 (((!!) @ (^[Y0 : a]: 29.24/4.72 (((!!) @ (^[Y1 : a]: 29.24/4.72 (((((X2 @ Y0) & 29.24/4.72 ((('#sk2' @ Y0 @ Y1) | ('#sk1' @ 29.24/4.72 Y0 @ Y1))))) => 29.24/4.72 (X2 @ Y1))))))))))) 29.24/4.72 | (X2 @ '#sk44') 29.24/4.72 | ('#form34'))), 29.24/4.72 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl77])). 29.24/4.72 thf(zip_derived_cl100, plain, 29.24/4.72 (![X2 : a > $o]: 29.24/4.72 (~ (((!!) @ (^[Y0 : a]: 29.24/4.72 ((((('#sk2' @ '#sk35' @ Y0) | ('#sk1' @ '#sk35' @ Y0))) => 29.24/4.72 (X2 @ Y0)))))) 29.24/4.72 | ~ (((!!) @ (^[Y0 : a]: 29.24/4.72 (((!!) @ (^[Y1 : a]: 29.24/4.72 (((((X2 @ Y0) & 29.24/4.72 ((('#sk2' @ Y0 @ Y1) | ('#sk1' @ 29.24/4.72 Y0 @ Y1))))) => 29.24/4.72 (X2 @ Y1))))))))) 29.24/4.72 | ('#form34') 29.24/4.72 | (X2 @ '#sk44'))), 29.24/4.72 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl92])). 29.24/4.72 thf(zip_derived_cl109, plain, 29.24/4.72 (![X2 : a > $o]: 29.24/4.72 (~ ((((('#sk2' @ '#sk35' @ ('#sk137' @ X2)) | ('#sk1' @ '#sk35' @ 29.24/4.72 ('#sk137' @ X2)))) => 29.24/4.72 (X2 @ ('#sk137' @ X2)))) 29.24/4.72 | (X2 @ '#sk44') 29.24/4.72 | ('#form34') 29.24/4.72 | ~ (((!!) @ (^[Y0 : a]: 29.24/4.72 (((!!) @ (^[Y1 : a]: 29.24/4.72 (((((X2 @ Y0) & 29.24/4.72 ((('#sk2' @ Y0 @ Y1) | ('#sk1' @ 29.24/4.72 Y0 @ Y1))))) => 29.24/4.72 (X2 @ Y1))))))))))), 29.24/4.72 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl100])). 29.24/4.72 thf(zip_derived_cl118, plain, 29.24/4.72 (![X2 : a > $o]: 29.24/4.72 (~ (X2 @ ('#sk137' @ X2)) 29.24/4.72 | ~ (((!!) @ (^[Y0 : a]: 29.24/4.72 (((!!) @ (^[Y1 : a]: 29.24/4.72 (((((X2 @ Y0) & 29.24/4.72 ((('#sk2' @ Y0 @ Y1) | ('#sk1' @ 29.24/4.72 Y0 @ Y1))))) => 29.24/4.72 (X2 @ Y1))))))))) 29.24/4.72 | ('#form34') 29.24/4.72 | (X2 @ '#sk44'))), 29.24/4.72 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl109])). 29.24/4.72 thf(zip_derived_cl119, plain, 29.24/4.72 (![X2 : a > $o]: 29.24/4.72 ( ('#form161' @ X2) 29.24/4.72 | ~ (((!!) @ (^[Y0 : a]: 29.24/4.72 (((!!) @ (^[Y1 : a]: 29.24/4.72 (((((X2 @ Y0) & 29.24/4.72 ((('#sk2' @ Y0 @ Y1) | ('#sk1' @ 29.24/4.72 Y0 @ Y1))))) => 29.24/4.72 (X2 @ Y1))))))))))), 29.24/4.72 define([status(thm)])). 29.24/4.72 thf(zip_derived_cl132, plain, 29.24/4.72 (![X2 : a > $o]: 29.24/4.72 (~ ('#form161' @ (^[Y0 : a]: (X2 @ Y0))) 29.24/4.72 | (X2 @ '#sk44') 29.24/4.72 | ('#form34') 29.24/4.72 | ~ (X2 @ ('#sk137' @ X2)))), 29.24/4.72 inference('renaming', [status(thm)], 29.24/4.72 [zip_derived_cl118, zip_derived_cl119])). 29.24/4.72 thf(zip_derived_cl146, plain, 29.24/4.72 (![X2 : a > $o]: 29.24/4.72 (~ ('#form161' @ X2) 29.24/4.72 | (X2 @ '#sk44') 29.24/4.72 | ('#form34') 29.24/4.72 | ~ (X2 @ ('#sk137' @ X2)))), 29.24/4.72 inference('ho_norm', [status(thm)], [zip_derived_cl132])). 29.24/4.72 thf(zip_derived_cl257, plain, 29.24/4.72 (( ((('#sk1' @ '#sk44' @ ('#sk141' @ '#sk77')) | ('#sk2' @ '#sk44' @ 29.24/4.72 ('#sk141' @ '#sk77')))) 29.24/4.72 | ~ ('#form161' @ '#sk77') 29.24/4.72 | ('#form34'))), 29.24/4.72 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl256])). 29.24/4.72 thf(zip_derived_cl259, plain, 29.24/4.72 (( ('#sk1' @ '#sk44' @ ('#sk141' @ '#sk77')) 29.24/4.72 | ('#sk2' @ '#sk44' @ ('#sk141' @ '#sk77')) 29.24/4.72 | ('#form34') 29.24/4.72 | ~ ('#form161' @ '#sk77'))), 29.24/4.72 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl257])). 29.24/4.72 thf(zip_derived_cl9, plain, 29.24/4.72 ( (((((!!) @ (^[Y0 : a]: 29.24/4.72 ((((('#sk2' @ '#sk3' @ Y0) | ('#sk1' @ '#sk3' @ Y0))) => 29.24/4.72 ('#sk5' @ Y0)))))) & 29.24/4.72 (((!!) @ (^[Y0 : a]: 29.24/4.72 (((!!) @ (^[Y1 : a]: 29.24/4.72 ((((('#sk5' @ Y0) & 29.24/4.72 ((('#sk2' @ Y0 @ Y1) | ('#sk1' @ Y0 @ Y1))))) => 29.24/4.72 ('#sk5' @ Y1)))))))))))), 29.24/4.72 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl7])). 29.24/4.72 thf(zip_derived_cl13, plain, 29.24/4.72 ( (((!!) @ (^[Y0 : a]: 29.24/4.72 ((((('#sk2' @ '#sk3' @ Y0) | ('#sk1' @ '#sk3' @ Y0))) => 29.24/4.72 ('#sk5' @ Y0))))))), 29.24/4.72 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl9])). 29.24/4.72 thf(zip_derived_cl16, plain, 29.24/4.72 (![X2 : a]: 29.24/4.72 ((((('#sk2' @ '#sk3' @ X2) | ('#sk1' @ '#sk3' @ X2))) => ('#sk5' @ 29.24/4.72 X2)))), 29.24/4.72 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl13])). 29.24/4.72 thf(zip_derived_cl19, plain, 29.24/4.72 (![X2 : a]: 29.24/4.72 (~ ((('#sk2' @ '#sk3' @ X2) | ('#sk1' @ '#sk3' @ X2))) 29.24/4.72 | ('#sk5' @ X2))), 29.24/4.72 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl16])). 29.24/4.72 thf(zip_derived_cl23, plain, 29.24/4.72 (![X2 : a]: (~ ('#sk1' @ '#sk3' @ X2) | ('#sk5' @ X2))), 29.24/4.72 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl19])). 29.24/4.72 thf(zip_derived_cl61, plain, 29.24/4.72 (![X2 : a > $o]: (~ (X2 @ ('#sk63' @ X2)) | ('#form48' @ X2))), 29.24/4.72 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl51])). 29.24/4.72 thf(zip_derived_cl76, plain, 29.24/4.72 (![X2 : a > $o]: 29.24/4.72 ( ((('#sk1' @ ('#sk49' @ X2) @ ('#sk63' @ X2)) | ('#sk2' @ 29.24/4.72 ('#sk49' @ X2) @ ('#sk63' @ X2)))) 29.24/4.72 | ('#form48' @ X2))), 29.24/4.72 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl60])). 29.24/4.72 thf(zip_derived_cl91, plain, 29.24/4.72 (![X2 : a > $o]: 29.24/4.72 ( ('#sk1' @ ('#sk49' @ X2) @ ('#sk63' @ X2)) 29.24/4.72 | ('#sk2' @ ('#sk49' @ X2) @ ('#sk63' @ X2)) 29.24/4.72 | ('#form48' @ X2))), 29.24/4.72 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl76])). 29.24/4.72 thf(zip_derived_cl22, plain, 29.24/4.72 (![X2 : a]: (~ ('#sk2' @ '#sk3' @ X2) | ('#sk5' @ X2))), 29.24/4.72 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl19])). 29.24/4.72 thf(zip_derived_cl107, plain, 29.24/4.72 (![X2 : a]: (~ ('#sk1' @ '#sk26' @ X2) | ('#form25') | ('#sk55' @ X2))), 29.24/4.72 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl99])). 29.24/4.72 thf(zip_derived_cl85, plain, 29.24/4.72 (( (((((!!) @ (^[Y0 : a]: 29.24/4.72 (((!!) @ (^[Y1 : a]: 29.24/4.72 ((((('#sk77' @ Y0) & 29.24/4.72 ((('#sk2' @ Y0 @ Y1) | ('#sk1' @ Y0 @ 29.24/4.72 Y1))))) => 29.24/4.72 ('#sk77' @ Y1))))))))) & 29.24/4.72 (((!!) @ (^[Y0 : a]: 29.24/4.72 ((((('#sk2' @ '#sk35' @ Y0) | ('#sk1' @ '#sk35' @ Y0))) => 29.24/4.72 ('#sk77' @ Y0)))))))) 29.24/4.72 | ('#form34'))), 29.24/4.72 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl66])). 29.24/4.72 thf(zip_derived_cl95, plain, 29.24/4.72 (( (((!!) @ (^[Y0 : a]: 29.24/4.72 ((((('#sk2' @ '#sk35' @ Y0) | ('#sk1' @ '#sk35' @ Y0))) => 29.24/4.72 ('#sk77' @ Y0)))))) 29.24/4.72 | ('#form34'))), 29.24/4.72 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl85])). 29.24/4.72 thf(zip_derived_cl103, plain, 29.24/4.72 (![X2 : a]: 29.24/4.72 ( ((((('#sk2' @ '#sk35' @ X2) | ('#sk1' @ '#sk35' @ X2))) => 29.24/4.72 ('#sk77' @ X2))) 29.24/4.72 | ('#form34'))), 29.24/4.72 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl95])). 29.24/4.72 thf(zip_derived_cl112, plain, 29.24/4.72 (![X2 : a]: 29.24/4.72 (~ ((('#sk2' @ '#sk35' @ X2) | ('#sk1' @ '#sk35' @ X2))) 29.24/4.72 | ('#sk77' @ X2) 29.24/4.72 | ('#form34'))), 29.24/4.72 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl103])). 29.24/4.72 thf(zip_derived_cl123, plain, 29.24/4.72 (![X2 : a]: (~ ('#sk2' @ '#sk35' @ X2) | ('#form34') | ('#sk77' @ X2))), 29.24/4.72 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl112])). 29.24/4.72 thf(zip_derived_cl124, plain, 29.24/4.72 (![X2 : a]: (~ ('#sk1' @ '#sk35' @ X2) | ('#form34') | ('#sk77' @ X2))), 29.24/4.72 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl112])). 29.24/4.72 thf(zip_derived_cl14, plain, 29.24/4.72 ( (((!!) @ (^[Y0 : a]: 29.24/4.72 (((!!) @ (^[Y1 : a]: 29.24/4.72 ((((('#sk5' @ Y0) & 29.24/4.72 ((('#sk2' @ Y0 @ Y1) | ('#sk1' @ Y0 @ Y1))))) => 29.24/4.72 ('#sk5' @ Y1)))))))))), 29.24/4.72 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl9])). 29.24/4.72 thf(zip_derived_cl17, plain, 29.24/4.72 (![X2 : a]: 29.24/4.72 (((!!) @ (^[Y0 : a]: 29.24/4.72 ((((('#sk5' @ X2) & 29.24/4.72 ((('#sk2' @ X2 @ Y0) | ('#sk1' @ X2 @ Y0))))) => 29.24/4.72 ('#sk5' @ Y0))))))), 29.24/4.72 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl14])). 29.24/4.72 thf(zip_derived_cl20, plain, 29.24/4.72 (![X2 : a, X4 : a]: 29.24/4.72 ((((('#sk5' @ X2) & ((('#sk2' @ X2 @ X4) | ('#sk1' @ X2 @ X4))))) => 29.24/4.72 ('#sk5' @ X4)))), 29.24/4.72 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl17])). 29.24/4.72 thf(zip_derived_cl24, plain, 29.24/4.72 (![X2 : a, X4 : a]: 29.24/4.72 (~ ((('#sk5' @ X2) & ((('#sk2' @ X2 @ X4) | ('#sk1' @ X2 @ X4))))) 29.24/4.72 | ('#sk5' @ X4))), 29.24/4.72 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl20])). 29.24/4.72 thf(zip_derived_cl27, plain, 29.24/4.72 (![X2 : a, X4 : a]: 29.24/4.72 (~ ('#sk5' @ X2) 29.24/4.72 | ~ ((('#sk2' @ X2 @ X4) | ('#sk1' @ X2 @ X4))) 29.24/4.72 | ('#sk5' @ X4))), 29.24/4.72 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl24])). 29.24/4.72 thf(zip_derived_cl32, plain, 29.24/4.72 (![X2 : a, X4 : a]: 29.24/4.72 (~ ('#sk2' @ X2 @ X4) | ('#sk5' @ X4) | ~ ('#sk5' @ X2))), 29.24/4.72 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl27])). 29.24/4.72 thf(zip_derived_cl33, plain, 29.24/4.72 (![X2 : a, X4 : a]: 29.24/4.72 (~ ('#sk1' @ X2 @ X4) | ('#sk5' @ X4) | ~ ('#sk5' @ X2))), 29.24/4.72 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl27])). 29.24/4.72 thf(zip_derived_cl119, plain, 29.24/4.72 (![X2 : a > $o]: 29.24/4.72 ( ('#form161' @ X2) 29.24/4.72 | ~ (((!!) @ (^[Y0 : a]: 29.24/4.72 (((!!) @ (^[Y1 : a]: 29.24/4.72 (((((X2 @ Y0) & 29.24/4.72 ((('#sk2' @ Y0 @ Y1) | ('#sk1' @ 29.24/4.72 Y0 @ Y1))))) => 29.24/4.72 (X2 @ Y1))))))))))), 29.24/4.72 define([status(thm)])). 29.24/4.72 thf(zip_derived_cl120, plain, 29.24/4.72 (![X2 : a > $o]: 29.24/4.72 (~ (((!!) @ (^[Y0 : a]: 29.24/4.72 (((((X2 @ ('#sk162' @ X2)) & 29.24/4.72 ((('#sk2' @ ('#sk162' @ X2) @ Y0) | ('#sk1' @ 29.24/4.72 ('#sk162' @ X2) @ Y0))))) => 29.24/4.72 (X2 @ Y0)))))) 29.24/4.72 | ('#form161' @ X2))), 29.24/4.72 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl119])). 29.24/4.72 thf(zip_derived_cl135, plain, 29.24/4.72 (![X2 : a > $o]: 29.24/4.72 (~ (((((X2 @ ('#sk162' @ X2)) & 29.24/4.72 ((('#sk2' @ ('#sk162' @ X2) @ ('#sk191' @ X2)) | ('#sk1' @ 29.24/4.72 ('#sk162' @ X2) @ ('#sk191' @ X2)))))) => 29.24/4.72 (X2 @ ('#sk191' @ X2)))) 29.24/4.72 | ('#form161' @ X2))), 29.24/4.72 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl120])). 29.24/4.72 thf(zip_derived_cl148, plain, 29.24/4.72 (![X2 : a > $o]: 29.24/4.72 ( (((X2 @ ('#sk162' @ X2)) & 29.24/4.72 ((('#sk2' @ ('#sk162' @ X2) @ ('#sk191' @ X2)) | ('#sk1' @ 29.24/4.72 ('#sk162' @ X2) @ ('#sk191' @ X2)))))) 29.24/4.72 | ('#form161' @ X2))), 29.24/4.72 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl135])). 29.24/4.72 thf(zip_derived_cl160, plain, 29.24/4.72 (![X2 : a > $o]: ( (X2 @ ('#sk162' @ X2)) | ('#form161' @ X2))), 29.24/4.72 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl148])). 29.24/4.72 thf(zip_derived_cl117, plain, 29.24/4.72 (![X2 : a > $o]: 29.24/4.72 ( ((('#sk2' @ '#sk35' @ ('#sk137' @ X2)) | ('#sk1' @ '#sk35' @ 29.24/4.72 ('#sk137' @ X2)))) 29.24/4.72 | ~ (((!!) @ (^[Y0 : a]: 29.24/4.72 (((!!) @ (^[Y1 : a]: 29.24/4.72 (((((X2 @ Y0) & 29.24/4.72 ((('#sk2' @ Y0 @ Y1) | ('#sk1' @ 29.24/4.72 Y0 @ Y1))))) => 29.24/4.72 (X2 @ Y1))))))))) 29.24/4.72 | ('#form34') 29.24/4.72 | (X2 @ '#sk44'))), 29.24/4.72 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl109])). 29.24/4.72 thf(zip_derived_cl119, plain, 29.24/4.72 (![X2 : a > $o]: 29.24/4.72 ( ('#form161' @ X2) 29.24/4.72 | ~ (((!!) @ (^[Y0 : a]: 29.24/4.72 (((!!) @ (^[Y1 : a]: 29.24/4.72 (((((X2 @ Y0) & 29.24/4.72 ((('#sk2' @ Y0 @ Y1) | ('#sk1' @ 29.24/4.72 Y0 @ Y1))))) => 29.24/4.72 (X2 @ Y1))))))))))), 29.24/4.72 define([status(thm)])). 29.24/4.72 thf(zip_derived_cl131, plain, 29.24/4.72 (![X2 : a > $o]: 29.24/4.72 (~ ('#form161' @ (^[Y0 : a]: (X2 @ Y0))) 29.24/4.72 | (X2 @ '#sk44') 29.24/4.72 | ('#form34') 29.24/4.72 | ((('#sk2' @ '#sk35' @ ('#sk137' @ X2)) | ('#sk1' @ '#sk35' @ 29.24/4.72 ('#sk137' @ X2)))))), 29.24/4.72 inference('renaming', [status(thm)], 29.24/4.72 [zip_derived_cl117, zip_derived_cl119])). 29.24/4.72 thf(zip_derived_cl144, plain, 29.24/4.72 (![X2 : a > $o]: 29.24/4.72 (~ ('#form161' @ X2) 29.24/4.72 | (X2 @ '#sk44') 29.24/4.72 | ('#form34') 29.24/4.72 | ((('#sk2' @ '#sk35' @ ('#sk137' @ X2)) | ('#sk1' @ '#sk35' @ 29.24/4.72 ('#sk137' @ X2)))))), 29.24/4.72 inference('ho_norm', [status(thm)], [zip_derived_cl131])). 29.24/4.72 thf(zip_derived_cl145, plain, 29.24/4.72 (![X2 : a > $o]: 29.24/4.72 ( ('#sk2' @ '#sk35' @ ('#sk137' @ X2)) 29.24/4.72 | ('#sk1' @ '#sk35' @ ('#sk137' @ X2)) 29.24/4.72 | ('#form34') 29.24/4.72 | (X2 @ '#sk44') 29.24/4.72 | ~ ('#form161' @ X2))), 29.24/4.72 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl144])). 29.24/4.72 thf(zip_derived_cl149, plain, 29.24/4.72 (![X2 : a > $o]: (~ (X2 @ ('#sk191' @ X2)) | ('#form161' @ X2))), 29.24/4.72 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl135])). 29.24/4.72 thf(zip_derived_cl161, plain, 29.24/4.72 (![X2 : a > $o]: 29.24/4.72 ( ((('#sk2' @ ('#sk162' @ X2) @ ('#sk191' @ X2)) | ('#sk1' @ 29.24/4.72 ('#sk162' @ X2) @ ('#sk191' @ X2)))) 29.24/4.72 | ('#form161' @ X2))), 29.24/4.72 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl148])). 29.24/4.72 thf(zip_derived_cl168, plain, 29.24/4.72 (![X2 : a > $o]: 29.24/4.72 ( ('#sk2' @ ('#sk162' @ X2) @ ('#sk191' @ X2)) 29.24/4.72 | ('#sk1' @ ('#sk162' @ X2) @ ('#sk191' @ X2)) 29.24/4.72 | ('#form161' @ X2))), 29.24/4.72 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl161])). 29.24/4.72 thf(zip_derived_cl94, plain, 29.24/4.72 (( (((!!) @ (^[Y0 : a]: 29.24/4.72 (((!!) @ (^[Y1 : a]: 29.24/4.72 ((((('#sk77' @ Y0) & 29.24/4.72 ((('#sk2' @ Y0 @ Y1) | ('#sk1' @ Y0 @ Y1))))) => 29.24/4.72 ('#sk77' @ Y1))))))))) 29.24/4.72 | ('#form34'))), 29.24/4.72 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl85])). 29.24/4.72 thf(zip_derived_cl102, plain, 29.24/4.72 (![X2 : a]: 29.24/4.72 ( (((!!) @ (^[Y0 : a]: 29.24/4.72 ((((('#sk77' @ X2) & 29.24/4.72 ((('#sk2' @ X2 @ Y0) | ('#sk1' @ X2 @ Y0))))) => 29.24/4.72 ('#sk77' @ Y0)))))) 29.24/4.72 | ('#form34'))), 29.24/4.72 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl94])). 29.24/4.72 thf(zip_derived_cl111, plain, 29.24/4.72 (![X2 : a, X4 : a]: 29.24/4.72 ( ((((('#sk77' @ X2) & ((('#sk2' @ X2 @ X4) | ('#sk1' @ X2 @ X4))))) => 29.24/4.72 ('#sk77' @ X4))) 29.24/4.72 | ('#form34'))), 29.24/4.72 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl102])). 29.24/4.72 thf(zip_derived_cl122, plain, 29.24/4.72 (![X2 : a, X4 : a]: 29.24/4.72 (~ ((('#sk77' @ X2) & ((('#sk2' @ X2 @ X4) | ('#sk1' @ X2 @ X4))))) 29.24/4.72 | ('#sk77' @ X4) 29.24/4.72 | ('#form34'))), 29.24/4.72 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl111])). 29.24/4.72 thf(zip_derived_cl136, plain, 29.24/4.72 (![X2 : a, X4 : a]: 29.24/4.72 (~ ('#sk77' @ X2) 29.24/4.72 | ~ ((('#sk2' @ X2 @ X4) | ('#sk1' @ X2 @ X4))) 29.24/4.72 | ('#form34') 29.24/4.72 | ('#sk77' @ X4))), 29.24/4.72 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl122])). 29.24/4.72 thf(zip_derived_cl150, plain, 29.24/4.72 (![X2 : a, X4 : a]: 29.24/4.72 (~ ('#sk2' @ X2 @ X4) 29.24/4.72 | ('#sk77' @ X4) 29.24/4.72 | ('#form34') 29.24/4.72 | ~ ('#sk77' @ X2))), 29.24/4.72 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl136])). 29.24/4.72 thf(zip_derived_cl151, plain, 29.24/4.72 (![X2 : a, X4 : a]: 29.24/4.72 (~ ('#sk1' @ X2 @ X4) 29.24/4.72 | ('#sk77' @ X4) 29.24/4.72 | ('#form34') 29.24/4.72 | ~ ('#sk77' @ X2))), 29.24/4.72 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl136])). 29.24/4.72 thf(zip_derived_cl3793, plain, ($false), 29.24/4.72 inference('eprover', [status(thm)], 29.24/4.72 [zip_derived_cl59, zip_derived_cl159, zip_derived_cl166, 29.24/4.72 zip_derived_cl108, zip_derived_cl167, zip_derived_cl157, 29.24/4.72 zip_derived_cl164, zip_derived_cl129, zip_derived_cl165, 29.24/4.72 zip_derived_cl258, zip_derived_cl196, zip_derived_cl300, 29.24/4.72 zip_derived_cl302, zip_derived_cl301, zip_derived_cl130, 29.24/4.72 zip_derived_cl75, zip_derived_cl195, zip_derived_cl154, 29.24/4.72 zip_derived_cl155, zip_derived_cl146, zip_derived_cl259, 29.24/4.72 zip_derived_cl23, zip_derived_cl61, zip_derived_cl91, 29.24/4.72 zip_derived_cl22, zip_derived_cl107, zip_derived_cl123, 29.24/4.72 zip_derived_cl124, zip_derived_cl32, zip_derived_cl33, 29.24/4.72 zip_derived_cl160, zip_derived_cl145, zip_derived_cl149, 29.24/4.72 zip_derived_cl168, zip_derived_cl150, zip_derived_cl151])). 29.24/4.72 29.24/4.72 % SZS output end Refutation 29.24/4.72 29.24/4.72 29.24/4.72 % Terminating... 29.24/4.72 % /export/starexec/sandbox2/solver/bin/lams/30_b.l.sh running for 53s 29.24/4.79 % Runner terminated. 29.25/4.81 % Zipperpin 1.5 exiting 29.25/4.82 EOF