0.06/0.15 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.06/0.17 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.bhwB8k73Vy true 0.14/0.40 % Computer : n021.cluster.edu 0.14/0.40 % Model : x86_64 x86_64 0.14/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.14/0.40 % Memory : 8042.1875MB 0.14/0.40 % OS : Linux 3.10.0-693.el7.x86_64 0.14/0.40 % CPULimit : 1200 0.14/0.40 % WCLimit : 120 0.14/0.40 % DateTime : Tue Jul 13 10:57:41 EDT 2021 0.14/0.40 % CPUTime : 0.14/0.40 % Running portfolio for 120 s 0.14/0.40 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p 0.14/0.40 % Number of cores: 8 0.21/0.40 % Python version: Python 3.6.8 0.21/0.40 % Running in HO mode 0.55/0.71 % Total configuration time : 828 0.55/0.71 % Estimated wc time : 983 0.55/0.71 % Estimated cpu time (8 cpus) : 122.875 0.56/0.79 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 47s 0.56/0.79 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 47s 0.56/0.80 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 47s 0.56/0.80 % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 53s 0.56/0.80 % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 18s 0.56/0.81 % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 41s 0.56/0.81 % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 24s 0.56/0.82 % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 35s 0.58/0.88 % /export/starexec/sandbox2/solver/bin/lams/30_b.l.sh running for 53s 141.18/18.65 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif.sh running for 33s 275.75/35.75 % /export/starexec/sandbox2/solver/bin/lams/15_old_s4.sh running for 18s 354.10/46.39 % /export/starexec/sandbox2/solver/bin/lams/15_lifting3.sh running for 18s 364.81/47.73 % /export/starexec/sandbox2/solver/bin/lams/33_shallow_sine.sh running for 39s 365.64/47.85 % /export/starexec/sandbox2/solver/bin/lams/40_e_lift.sh running for 47s 365.64/47.85 % /export/starexec/sandbox2/solver/bin/lams/15_lifting1.sh running for 18s 395.43/51.72 % /export/starexec/sandbox2/solver/bin/lams/8_new_cnf.sh running for 10s 395.67/51.79 % /export/starexec/sandbox2/solver/bin/lams/10_e_short2.sh running for 12s 411.36/53.82 % /export/starexec/sandbox2/solver/bin/lams/8_add_var_l_av.sh running for 10s 411.36/53.83 % /export/starexec/sandbox2/solver/bin/lams/8_new_sh_or.sh running for 10s 428.34/56.37 % /export/starexec/sandbox2/solver/bin/lams/30_old_zip1.sh running for 21s 487.14/63.86 % /export/starexec/sandbox2/solver/bin/lams/10_shallow_lift.sh running for 18s 487.14/63.88 % /export/starexec/sandbox2/solver/bin/lams/15_lcnf_noform.sh running for 18s 489.21/64.37 % /export/starexec/sandbox2/solver/bin/lams/8_sh.eqenc2.sh running for 6s 489.21/64.44 % /export/starexec/sandbox2/solver/bin/lams/8_cmb.lcnf4.sh running for 6s 499.27/65.68 % /export/starexec/sandbox2/solver/bin/lams/8_new_l_av.sh running for 14s 534.98/70.24 % /export/starexec/sandbox2/solver/bin/lams/10_forms1.sh running for 12s 535.41/70.32 % /export/starexec/sandbox2/solver/bin/lams/10_forms4.sh running for 12s 537.00/70.56 % /export/starexec/sandbox2/solver/bin/lams/15_ch_av2.sh running for 16s 552.09/72.50 % Solved by lams/15_ch_av2.sh. 552.09/72.50 % done 130 iterations in 1.802s 552.09/72.50 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p' 552.09/72.50 % SZS output start Refutation 552.09/72.50 thf(c_not_type, type, c_not: $o > $o). 552.09/72.50 thf(c_In_type, type, c_In: $i > $i > $o). 552.09/72.50 thf(c_False_type, type, c_False: $o). 552.09/72.50 thf(c_Inj0_type, type, c_Inj0: $i > $i). 552.09/72.50 thf(c_Inj1_type, type, c_Inj1: $i > $i). 552.09/72.50 thf(c_setsum_type, type, c_setsum: $i > $i > $i). 552.09/72.50 thf(c_Empty_type, type, c_Empty: $i). 552.09/72.50 thf(ax11, axiom, (( c_False ) <=> ( ![X0:$o]: ( X0 ) ))). 552.09/72.50 thf(zip_derived_cl5, plain, (((c_False) = (((!!) @ (^[Y0 : $o]: (Y0)))))), 552.09/72.50 inference('cnf', [status(esa)], [ax11])). 552.09/72.50 thf(zip_derived_cl14, plain, 552.09/72.50 ((~ (c_False) | (((!!) @ (^[Y0 : $o]: (Y0)))))), 552.09/72.50 inference('lazy_cnf_equiv', [status(thm)], [zip_derived_cl5])). 552.09/72.50 thf(zip_derived_cl24, plain, (![X2 : $o]: ( (X2) | ~ (c_False))), 552.09/72.50 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl14])). 552.09/72.50 thf(zip_derived_cl26, plain, (~ (c_False)), 552.09/72.50 inference('ho.refine.early.bird', [status(thm)], [zip_derived_cl24])). 552.09/72.50 thf(conj, conjecture, 552.09/72.50 (c_not @ 552.09/72.50 ( ![X0:( ( $i > $i > ( ( $i > $i ) > $i > $i ) > $i ) > $i > $i > $o ), 552.09/72.50 X1:( ( $i > ( ( $i > $i ) > $i ) > $i ) > $i > $o ), 552.09/72.50 X2:( ( $i > $i ) > 552.09/72.50 ( ( ( ( $i > $i ) > $i ) > $i ) > ( $i > $i > $i ) > $i > $i > $i ) > 552.09/72.50 $i > $o ), 552.09/72.50 X3:( ( $i > ( $i > $i > $i ) > $i ) > $i > $i > $o )]: 552.09/72.50 ( ( ![X4:( ( ( $i > $i > $i ) > ( $i > $i ) > $i > $i ) > $i ),X5:$i, 552.09/72.50 X6:$i,X7:$i]: 552.09/72.50 ( ( c_In @ 552.09/72.50 ( c_Inj0 @ X6 ) @ 552.09/72.50 ( c_setsum @ 552.09/72.50 ( c_setsum @ c_Empty @ c_Empty ) @ 552.09/72.50 ( c_setsum @ 552.09/72.50 X6 @ ( c_Inj0 @ ( c_setsum @ c_Empty @ c_Empty ) ) ) ) ) => 552.09/72.50 ( ( X2 @ 552.09/72.50 ( ^[X8:$i]: ( c_Inj0 @ ( c_Inj0 @ c_Empty ) ) ) @ 552.09/72.50 ( ^[X8:( ( ( $i > $i ) > $i ) > $i ),X9:( $i > $i > $i ), 552.09/72.50 X10:$i,X11:$i]: 552.09/72.50 ( X10 ) ) @ 552.09/72.50 ( c_setsum @ 552.09/72.50 ( X4 @ 552.09/72.50 ( ^[X8:( $i > $i > $i ),X9:( $i > $i ),X10:$i]: 552.09/72.50 ( c_Inj0 @ ( c_setsum @ c_Empty @ c_Empty ) ) ) ) @ 552.09/72.50 c_Empty ) ) => 552.09/72.50 ( X3 @ 552.09/72.50 ( ^[X8:$i,X9:( $i > $i > $i )]: ( c_Inj0 @ X8 ) ) @ X5 @ 552.09/72.50 ( c_setsum @ 552.09/72.50 ( c_setsum @ 552.09/72.50 ( c_setsum @ c_Empty @ ( c_setsum @ c_Empty @ c_Empty ) ) @ 552.09/72.50 ( c_Inj0 @ c_Empty ) ) @ 552.09/72.50 c_Empty ) ) ) ) ) => 552.09/72.50 ( ( ![X4:( ( ( ( $i > $i ) > $i > $i ) > $i ) > $i ),X5:( $i > $i ), 552.09/72.50 X6:$i,X7:$i]: 552.09/72.50 ( ( X3 @ 552.09/72.50 ( ^[X8:$i,X9:( $i > $i > $i )]: ( c_Empty ) ) @ X7 @ 552.09/72.50 ( c_setsum @ 552.09/72.50 ( c_setsum @ 552.09/72.50 ( c_setsum @ ( c_setsum @ c_Empty @ c_Empty ) @ c_Empty ) @ 552.09/72.50 ( c_setsum @ 552.09/72.50 ( c_setsum @ c_Empty @ c_Empty ) @ ( c_Inj0 @ c_Empty ) ) ) @ 552.09/72.50 ( c_setsum @ 552.09/72.50 c_Empty @ ( c_Inj1 @ ( c_setsum @ c_Empty @ c_Empty ) ) ) ) ) => 552.09/72.50 ( X3 @ 552.09/72.50 ( ^[X8:$i,X9:( $i > $i > $i )]: ( X7 ) ) @ 552.09/72.50 ( c_setsum @ 552.09/72.50 ( X4 @ ( ^[X8:( ( $i > $i ) > $i > $i )]: ( X7 ) ) ) @ X6 ) @ 552.09/72.50 ( c_Inj0 @ 552.09/72.50 ( c_Inj1 @ 552.09/72.50 ( c_setsum @ 552.09/72.50 ( c_setsum @ c_Empty @ c_Empty ) @ 552.09/72.50 ( c_setsum @ c_Empty @ c_Empty ) ) ) ) ) ) ) => 552.09/72.50 ( ( ![X4:$i,X5:( $i > ( ( $i > $i ) > $i > $i ) > $i ), 552.09/72.50 X6:( ( ( ( $i > $i ) > $i > $i ) > ( $i > $i ) > $i > $i ) > 552.09/72.50 ( $i > $i > $i ) > $i ), 552.09/72.50 X7:$i]: 552.09/72.50 ( ( c_In @ 552.09/72.50 ( c_Inj0 @ c_Empty ) @ 552.09/72.50 ( c_setsum @ 552.09/72.50 c_Empty @ 552.09/72.50 ( X5 @ 552.09/72.50 ( c_Inj0 @ ( c_setsum @ c_Empty @ c_Empty ) ) @ 552.09/72.50 ( ^[X8:( $i > $i ),X9:$i]: ( c_Inj0 @ c_Empty ) ) ) ) ) => 552.09/72.50 ( ( X0 @ 552.09/72.50 ( ^[X8:$i,X9:$i,X10:( ( $i > $i ) > $i > $i )]: ( X8 ) ) @ 552.09/72.50 X7 @ 552.09/72.50 ( X6 @ 552.09/72.50 ( ^[X8:( ( $i > $i ) > $i > $i ),X9:( $i > $i ),X10:$i]: 552.09/72.50 ( c_Inj1 @ c_Empty ) ) @ 552.09/72.50 ( ^[X8:$i,X9:$i]: ( c_Empty ) ) ) ) => 552.09/72.50 ( X2 @ 552.09/72.50 ( ^[X8:$i]: ( X8 ) ) @ 552.09/72.50 ( ^[X8:( ( ( $i > $i ) > $i ) > $i ),X9:( $i > $i > $i ), 552.09/72.50 X10:$i,X11:$i]: 552.09/72.50 ( X10 ) ) @ 552.09/72.50 ( c_setsum @ 552.09/72.50 ( c_Inj0 @ c_Empty ) @ 552.09/72.50 ( X6 @ 552.09/72.50 ( ^[X8:( ( $i > $i ) > $i > $i ),X9:( $i > $i ),X10:$i]: 552.09/72.50 ( c_Inj0 @ c_Empty ) ) @ 552.09/72.50 ( ^[X8:$i,X9:$i]: ( X9 ) ) ) ) ) ) ) ) => 552.09/72.50 ( ( ![X4:( $i > $i > $i ),X5:( $i > $i ),X6:$i,X7:( $i > $i )]: 552.09/72.50 ( ( c_In @ 552.09/72.50 ( c_Inj0 @ ( c_Inj1 @ c_Empty ) ) @ 552.09/72.50 ( c_setsum @ 552.09/72.50 ( c_setsum @ 552.09/72.50 ( c_Inj0 @ c_Empty ) @ 552.09/72.50 ( c_setsum @ 552.09/72.50 ( c_setsum @ c_Empty @ c_Empty ) @ 552.09/72.50 ( c_setsum @ c_Empty @ c_Empty ) ) ) @ 552.09/72.50 ( c_setsum @ 552.09/72.50 c_Empty @ 552.09/72.50 ( c_setsum @ 552.09/72.50 ( c_Inj0 @ c_Empty ) @ ( X4 @ c_Empty @ c_Empty ) ) ) ) ) => 552.09/72.50 ( ( X2 @ 552.09/72.50 ( ^[X8:$i]: ( c_Empty ) ) @ 552.09/72.50 ( ^[X8:( ( ( $i > $i ) > $i ) > $i ), 552.09/72.50 X9:( $i > $i > $i ),X10:$i,X11:$i]: 552.09/72.50 ( c_Empty ) ) @ 552.09/72.50 ( c_setsum @ 552.09/72.50 ( c_setsum @ 552.09/72.50 c_Empty @ 552.09/72.50 ( c_setsum @ 552.09/72.50 ( c_setsum @ c_Empty @ c_Empty ) @ 552.09/72.50 ( c_Inj0 @ c_Empty ) ) ) @ 552.09/72.50 ( c_Inj1 @ X6 ) ) ) => 552.09/72.50 ( X1 @ 552.09/72.50 ( ^[X8:$i,X9:( ( $i > $i ) > $i )]: ( c_Inj0 @ c_Empty ) ) @ 552.09/72.50 ( X4 @ 552.09/72.50 c_Empty @ 552.09/72.50 ( X5 @ ( c_setsum @ ( c_Inj1 @ c_Empty ) @ c_Empty ) ) ) ) ) ) ) => 552.09/72.50 ( ( ![X4:$i,X5:( $i > $i ),X6:( $i > $i ),X7:$i]: 552.09/72.50 ( ( X3 @ 552.09/72.50 ( ^[X8:$i,X9:( $i > $i > $i )]: ( c_Empty ) ) @ 552.09/72.50 c_Empty @ c_Empty ) => 552.09/72.50 ( X1 @ 552.09/72.50 ( ^[X8:$i,X9:( ( $i > $i ) > $i )]: 552.09/72.50 ( X9 @ 552.09/72.50 ( ^[X10:$i]: 552.09/72.50 ( c_setsum @ 552.09/72.50 ( c_Inj1 @ ( c_Inj0 @ c_Empty ) ) @ 552.09/72.50 ( c_setsum @ c_Empty @ c_Empty ) ) ) ) ) @ 552.09/72.50 c_Empty ) ) ) => 552.09/72.50 ( ( ![X4:$i,X5:$i,X6:$i,X7:$i]: 552.09/72.50 ( ( c_In @ 552.09/72.50 ( c_Inj0 @ X6 ) @ 552.09/72.50 ( c_setsum @ 552.09/72.50 ( c_setsum @ 552.09/72.50 X4 @ 552.09/72.50 ( c_setsum @ X5 @ ( c_setsum @ c_Empty @ c_Empty ) ) ) @ 552.09/72.50 ( c_Inj1 @ ( c_setsum @ X5 @ c_Empty ) ) ) ) => 552.09/72.50 ( ( X1 @ 552.09/72.50 ( ^[X8:$i,X9:( ( $i > $i ) > $i )]: ( X7 ) ) @ 552.09/72.50 c_Empty ) => 552.09/72.50 ( X2 @ 552.09/72.50 ( ^[X8:$i]: ( c_Empty ) ) @ 552.09/72.50 ( ^[X8:( ( ( $i > $i ) > $i ) > $i ), 552.09/72.50 X9:( $i > $i > $i ),X10:$i,X11:$i]: 552.09/72.50 ( c_setsum @ c_Empty @ c_Empty ) ) @ 552.09/72.50 X5 ) ) ) ) => 552.09/72.50 ( ( ![X4:( ( ( ( $i > $i ) > $i > $i ) > $i ) > $i ),X5:$i, 552.09/72.50 X6:$i,X7:$i]: 552.09/72.50 ( ( c_In @ ( c_Inj1 @ c_Empty ) @ X5 ) => 552.09/72.50 ( ( X1 @ 552.09/72.50 ( ^[X8:$i,X9:( ( $i > $i ) > $i )]: ( c_Empty ) ) @ 552.09/72.50 c_Empty ) => 552.09/72.50 ( X0 @ 552.09/72.50 ( ^[X8:$i,X9:$i,X10:( ( $i > $i ) > $i > $i )]: 552.09/72.50 ( c_Inj1 @ c_Empty ) ) @ 552.09/72.50 ( c_Inj1 @ 552.09/72.50 ( c_Inj1 @ 552.09/72.50 ( X4 @ 552.09/72.50 ( ^[X8:( ( $i > $i ) > $i > $i )]: 552.09/72.50 ( c_Empty ) ) ) ) ) @ 552.09/72.50 ( c_Inj1 @ 552.09/72.50 ( c_setsum @ 552.09/72.50 ( c_setsum @ ( c_Inj0 @ c_Empty ) @ c_Empty ) @ 552.09/72.50 ( c_Inj1 @ ( c_Inj0 @ c_Empty ) ) ) ) ) ) ) ) => 552.09/72.50 ( ( ![X4:( $i > $i ),X5:$i,X6:( $i > $i ),X7:$i]: 552.09/72.50 ( ( X0 @ 552.09/72.50 ( ^[X8:$i,X9:$i,X10:( ( $i > $i ) > $i > $i )]: 552.09/72.50 ( c_Empty ) ) @ 552.09/72.50 ( X4 @ c_Empty ) @ X7 ) => 552.09/72.50 ( c_False ) ) ) => 552.09/72.50 ( c_False ) ) ) ) ) ) ) ) ) ))). 552.09/72.50 thf(zf_stmt_0, negated_conjecture, 552.09/72.50 (~( c_not @ 552.09/72.50 ( ![X0:( ( $i > $i > ( ( $i > $i ) > $i > $i ) > $i ) > $i > $i > $o ), 552.09/72.50 X1:( ( $i > ( ( $i > $i ) > $i ) > $i ) > $i > $o ), 552.09/72.50 X2:( ( $i > $i ) > 552.09/72.50 ( ( ( ( $i > $i ) > $i ) > $i ) > ( $i > $i > $i ) > $i > $i > 552.09/72.50 $i ) > 552.09/72.50 $i > $o ), 552.09/72.50 X3:( ( $i > ( $i > $i > $i ) > $i ) > $i > $i > $o )]: 552.09/72.50 ( ( ![X4:( ( ( $i > $i > $i ) > ( $i > $i ) > $i > $i ) > $i ),X5:$i, 552.09/72.50 X6:$i,X7:$i]: 552.09/72.50 ( ( c_In @ 552.09/72.50 ( c_Inj0 @ X6 ) @ 552.09/72.50 ( c_setsum @ 552.09/72.50 ( c_setsum @ c_Empty @ c_Empty ) @ 552.09/72.50 ( c_setsum @ 552.09/72.50 X6 @ ( c_Inj0 @ ( c_setsum @ c_Empty @ c_Empty ) ) ) ) ) => 552.09/72.50 ( ( X2 @ 552.09/72.50 ( ^[X8:$i]: ( c_Inj0 @ ( c_Inj0 @ c_Empty ) ) ) @ 552.09/72.50 ( ^[X8:( ( ( $i > $i ) > $i ) > $i ),X9:( $i > $i > $i ), 552.09/72.50 X10:$i,X11:$i]: 552.09/72.50 ( X10 ) ) @ 552.09/72.50 ( c_setsum @ 552.09/72.50 ( X4 @ 552.09/72.50 ( ^[X8:( $i > $i > $i ),X9:( $i > $i ),X10:$i]: 552.09/72.50 ( c_Inj0 @ ( c_setsum @ c_Empty @ c_Empty ) ) ) ) @ 552.09/72.50 c_Empty ) ) => 552.09/72.50 ( X3 @ 552.09/72.50 ( ^[X8:$i,X9:( $i > $i > $i )]: ( c_Inj0 @ X8 ) ) @ X5 @ 552.09/72.50 ( c_setsum @ 552.09/72.50 ( c_setsum @ 552.09/72.50 ( c_setsum @ c_Empty @ ( c_setsum @ c_Empty @ c_Empty ) ) @ 552.09/72.50 ( c_Inj0 @ c_Empty ) ) @ 552.09/72.50 c_Empty ) ) ) ) ) => 552.09/72.50 ( ( ![X4:( ( ( ( $i > $i ) > $i > $i ) > $i ) > $i ), 552.09/72.50 X5:( $i > $i ),X6:$i,X7:$i]: 552.09/72.50 ( ( X3 @ 552.09/72.50 ( ^[X8:$i,X9:( $i > $i > $i )]: ( c_Empty ) ) @ X7 @ 552.09/72.50 ( c_setsum @ 552.09/72.50 ( c_setsum @ 552.09/72.50 ( c_setsum @ ( c_setsum @ c_Empty @ c_Empty ) @ c_Empty ) @ 552.09/72.50 ( c_setsum @ 552.09/72.50 ( c_setsum @ c_Empty @ c_Empty ) @ 552.09/72.50 ( c_Inj0 @ c_Empty ) ) ) @ 552.09/72.50 ( c_setsum @ 552.09/72.50 c_Empty @ ( c_Inj1 @ ( c_setsum @ c_Empty @ c_Empty ) ) ) ) ) => 552.09/72.50 ( X3 @ 552.09/72.50 ( ^[X8:$i,X9:( $i > $i > $i )]: ( X7 ) ) @ 552.09/72.50 ( c_setsum @ 552.09/72.50 ( X4 @ ( ^[X8:( ( $i > $i ) > $i > $i )]: ( X7 ) ) ) @ X6 ) @ 552.09/72.50 ( c_Inj0 @ 552.09/72.50 ( c_Inj1 @ 552.09/72.50 ( c_setsum @ 552.09/72.50 ( c_setsum @ c_Empty @ c_Empty ) @ 552.09/72.50 ( c_setsum @ c_Empty @ c_Empty ) ) ) ) ) ) ) => 552.09/72.50 ( ( ![X4:$i,X5:( $i > ( ( $i > $i ) > $i > $i ) > $i ), 552.09/72.50 X6:( ( ( ( $i > $i ) > $i > $i ) > ( $i > $i ) > $i > $i ) > 552.09/72.50 ( $i > $i > $i ) > $i ), 552.09/72.50 X7:$i]: 552.09/72.50 ( ( c_In @ 552.09/72.50 ( c_Inj0 @ c_Empty ) @ 552.09/72.50 ( c_setsum @ 552.09/72.50 c_Empty @ 552.09/72.50 ( X5 @ 552.09/72.50 ( c_Inj0 @ ( c_setsum @ c_Empty @ c_Empty ) ) @ 552.09/72.50 ( ^[X8:( $i > $i ),X9:$i]: ( c_Inj0 @ c_Empty ) ) ) ) ) => 552.09/72.50 ( ( X0 @ 552.09/72.50 ( ^[X8:$i,X9:$i,X10:( ( $i > $i ) > $i > $i )]: ( X8 ) ) @ 552.09/72.50 X7 @ 552.09/72.50 ( X6 @ 552.09/72.50 ( ^[X8:( ( $i > $i ) > $i > $i ),X9:( $i > $i ), 552.09/72.50 X10:$i]: 552.09/72.50 ( c_Inj1 @ c_Empty ) ) @ 552.09/72.50 ( ^[X8:$i,X9:$i]: ( c_Empty ) ) ) ) => 552.09/72.50 ( X2 @ 552.09/72.50 ( ^[X8:$i]: ( X8 ) ) @ 552.09/72.50 ( ^[X8:( ( ( $i > $i ) > $i ) > $i ), 552.09/72.50 X9:( $i > $i > $i ),X10:$i,X11:$i]: 552.09/72.50 ( X10 ) ) @ 552.09/72.50 ( c_setsum @ 552.09/72.50 ( c_Inj0 @ c_Empty ) @ 552.09/72.50 ( X6 @ 552.09/72.50 ( ^[X8:( ( $i > $i ) > $i > $i ),X9:( $i > $i ), 552.09/72.50 X10:$i]: 552.09/72.50 ( c_Inj0 @ c_Empty ) ) @ 552.09/72.50 ( ^[X8:$i,X9:$i]: ( X9 ) ) ) ) ) ) ) ) => 552.09/72.50 ( ( ![X4:( $i > $i > $i ),X5:( $i > $i ),X6:$i,X7:( $i > $i )]: 552.09/72.50 ( ( c_In @ 552.09/72.50 ( c_Inj0 @ ( c_Inj1 @ c_Empty ) ) @ 552.09/72.50 ( c_setsum @ 552.09/72.50 ( c_setsum @ 552.09/72.50 ( c_Inj0 @ c_Empty ) @ 552.09/72.50 ( c_setsum @ 552.09/72.50 ( c_setsum @ c_Empty @ c_Empty ) @ 552.09/72.50 ( c_setsum @ c_Empty @ c_Empty ) ) ) @ 552.09/72.50 ( c_setsum @ 552.09/72.50 c_Empty @ 552.09/72.50 ( c_setsum @ 552.09/72.50 ( c_Inj0 @ c_Empty ) @ ( X4 @ c_Empty @ c_Empty ) ) ) ) ) => 552.09/72.50 ( ( X2 @ 552.09/72.50 ( ^[X8:$i]: ( c_Empty ) ) @ 552.09/72.50 ( ^[X8:( ( ( $i > $i ) > $i ) > $i ), 552.09/72.50 X9:( $i > $i > $i ),X10:$i,X11:$i]: 552.09/72.50 ( c_Empty ) ) @ 552.09/72.50 ( c_setsum @ 552.09/72.50 ( c_setsum @ 552.09/72.50 c_Empty @ 552.09/72.50 ( c_setsum @ 552.09/72.50 ( c_setsum @ c_Empty @ c_Empty ) @ 552.09/72.50 ( c_Inj0 @ c_Empty ) ) ) @ 552.09/72.50 ( c_Inj1 @ X6 ) ) ) => 552.09/72.50 ( X1 @ 552.09/72.50 ( ^[X8:$i,X9:( ( $i > $i ) > $i )]: 552.09/72.50 ( c_Inj0 @ c_Empty ) ) @ 552.09/72.50 ( X4 @ 552.09/72.50 c_Empty @ 552.09/72.50 ( X5 @ 552.09/72.50 ( c_setsum @ ( c_Inj1 @ c_Empty ) @ c_Empty ) ) ) ) ) ) ) => 552.09/72.50 ( ( ![X4:$i,X5:( $i > $i ),X6:( $i > $i ),X7:$i]: 552.09/72.50 ( ( X3 @ 552.09/72.50 ( ^[X8:$i,X9:( $i > $i > $i )]: ( c_Empty ) ) @ 552.09/72.50 c_Empty @ c_Empty ) => 552.09/72.50 ( X1 @ 552.09/72.50 ( ^[X8:$i,X9:( ( $i > $i ) > $i )]: 552.09/72.50 ( X9 @ 552.09/72.50 ( ^[X10:$i]: 552.09/72.50 ( c_setsum @ 552.09/72.50 ( c_Inj1 @ ( c_Inj0 @ c_Empty ) ) @ 552.09/72.50 ( c_setsum @ c_Empty @ c_Empty ) ) ) ) ) @ 552.09/72.50 c_Empty ) ) ) => 552.09/72.50 ( ( ![X4:$i,X5:$i,X6:$i,X7:$i]: 552.09/72.50 ( ( c_In @ 552.09/72.50 ( c_Inj0 @ X6 ) @ 552.09/72.50 ( c_setsum @ 552.09/72.50 ( c_setsum @ 552.09/72.50 X4 @ 552.09/72.50 ( c_setsum @ 552.09/72.50 X5 @ ( c_setsum @ c_Empty @ c_Empty ) ) ) @ 552.09/72.50 ( c_Inj1 @ ( c_setsum @ X5 @ c_Empty ) ) ) ) => 552.09/72.50 ( ( X1 @ 552.09/72.50 ( ^[X8:$i,X9:( ( $i > $i ) > $i )]: ( X7 ) ) @ 552.09/72.50 c_Empty ) => 552.09/72.50 ( X2 @ 552.09/72.50 ( ^[X8:$i]: ( c_Empty ) ) @ 552.09/72.50 ( ^[X8:( ( ( $i > $i ) > $i ) > $i ), 552.09/72.50 X9:( $i > $i > $i ),X10:$i,X11:$i]: 552.09/72.50 ( c_setsum @ c_Empty @ c_Empty ) ) @ 552.09/72.50 X5 ) ) ) ) => 552.09/72.50 ( ( ![X4:( ( ( ( $i > $i ) > $i > $i ) > $i ) > $i ), 552.09/72.50 X5:$i,X6:$i,X7:$i]: 552.09/72.50 ( ( c_In @ ( c_Inj1 @ c_Empty ) @ X5 ) => 552.09/72.50 ( ( X1 @ 552.09/72.50 ( ^[X8:$i,X9:( ( $i > $i ) > $i )]: ( c_Empty ) ) @ 552.09/72.50 c_Empty ) => 552.09/72.50 ( X0 @ 552.09/72.50 ( ^[X8:$i,X9:$i,X10:( ( $i > $i ) > $i > $i )]: 552.09/72.50 ( c_Inj1 @ c_Empty ) ) @ 552.09/72.50 ( c_Inj1 @ 552.09/72.50 ( c_Inj1 @ 552.09/72.50 ( X4 @ 552.09/72.50 ( ^[X8:( ( $i > $i ) > $i > $i )]: 552.09/72.50 ( c_Empty ) ) ) ) ) @ 552.09/72.50 ( c_Inj1 @ 552.09/72.50 ( c_setsum @ 552.09/72.50 ( c_setsum @ ( c_Inj0 @ c_Empty ) @ c_Empty ) @ 552.09/72.50 ( c_Inj1 @ ( c_Inj0 @ c_Empty ) ) ) ) ) ) ) ) => 552.09/72.50 ( ( ![X4:( $i > $i ),X5:$i,X6:( $i > $i ),X7:$i]: 552.09/72.50 ( ( X0 @ 552.09/72.50 ( ^[X8:$i,X9:$i,X10:( ( $i > $i ) > $i > $i )]: 552.09/72.50 ( c_Empty ) ) @ 552.09/72.50 ( X4 @ c_Empty ) @ X7 ) => 552.09/72.50 ( c_False ) ) ) => 552.09/72.50 ( c_False ) ) ) ) ) ) ) ) ) ) )), 552.09/72.50 inference('cnf.neg', [status(esa)], [conj])). 552.09/72.50 thf(zip_derived_cl9, plain, 552.09/72.50 (~ (c_not @ 552.09/72.50 (((!!) @ (^[Y0 : ($i > $i > (($i > $i) > $i > $i) > $i) > $i > $i > $o]: 552.09/72.50 (((!!) @ (^[Y1 : ($i > (($i > $i) > $i) > $i) > $i > $o]: 552.09/72.50 (((!!) @ (^[Y2 : ($i > $i) > 552.09/72.50 (((($i > $i) > $i) > $i) > 552.09/72.50 ($i > $i > $i) > $i > $i > $i) > 552.09/72.50 $i > $o]: 552.09/72.50 (((!!) @ (^[Y3 : ($i > 552.09/72.50 ($i > $i > $i) > $i) > 552.09/72.50 $i > $i > $o]: 552.09/72.50 (((((!!) @ (^[Y4 : ( 552.09/72.50 ( 552.09/72.50 $i > $i > $i) > 552.09/72.50 ( 552.09/72.50 $i > $i) > 552.09/72.50 $i > $i) > $i]: 552.09/72.50 (( 552.09/72.50 (!!) @ ( 552.09/72.50 ^[Y5 : $i]: 552.09/72.50 (( 552.09/72.50 (!!) @ ( 552.09/72.50 ^[Y6 : $i]: 552.09/72.50 (( 552.09/72.50 (!!) @ ( 552.09/72.50 ^[Y7 : $i]: 552.09/72.50 (( 552.09/72.50 (c_In @ 552.09/72.50 ( 552.09/72.50 c_Inj0 @ 552.09/72.50 Y6) @ 552.09/72.50 ( 552.09/72.50 c_setsum @ 552.09/72.50 ( 552.09/72.50 c_setsum @ 552.09/72.50 c_Empty @ 552.09/72.50 c_Empty) @ 552.09/72.50 ( 552.09/72.50 c_setsum @ 552.09/72.50 Y6 @ 552.09/72.50 ( 552.09/72.50 c_Inj0 @ 552.09/72.50 ( 552.09/72.50 c_setsum @ 552.09/72.50 c_Empty @ 552.09/72.50 c_Empty))))) => 552.09/72.50 (( 552.09/72.50 (Y2 @ 552.09/72.50 ( 552.09/72.50 ^[Y8 : $i]: 552.09/72.50 (c_Inj0 @ 552.09/72.50 (c_Inj0 @ 552.09/72.50 c_Empty))) @ 552.09/72.50 ( 552.09/72.50 ^[Y8 : ( 552.09/72.50 ( 552.09/72.50 $i > $i) > $i) > $i, 552.09/72.50 Y9 : 552.09/72.50 $i > $i > $i, 552.09/72.50 Y10 : $i, 552.09/72.50 Y11 : $i]: 552.09/72.50 (Y10)) @ 552.09/72.50 ( 552.09/72.50 c_setsum @ 552.09/72.50 ( 552.09/72.50 Y4 @ 552.09/72.50 ( 552.09/72.50 ^[Y8 : 552.09/72.50 $i > $i > $i, 552.09/72.50 Y9 : $i > $i, 552.09/72.50 Y10 : $i]: 552.09/72.50 (c_Inj0 @ 552.09/72.50 (c_setsum @ 552.09/72.50 c_Empty @ 552.09/72.50 c_Empty)))) @ 552.09/72.50 c_Empty)) => 552.09/72.50 (Y3 @ 552.09/72.50 ( 552.09/72.50 ^[Y8 : $i, 552.09/72.50 Y9 : 552.09/72.50 $i > $i > $i]: 552.09/72.50 (c_Inj0 @ 552.09/72.50 Y8)) @ 552.09/72.50 Y5 @ 552.09/72.50 ( 552.09/72.50 c_setsum @ 552.09/72.50 ( 552.09/72.50 c_setsum @ 552.09/72.50 ( 552.09/72.50 c_setsum @ 552.09/72.50 c_Empty @ 552.09/72.50 ( 552.09/72.50 c_setsum @ 552.09/72.50 c_Empty @ 552.09/72.50 c_Empty)) @ 552.09/72.50 ( 552.09/72.50 c_Inj0 @ 552.09/72.50 c_Empty)) @ 552.09/72.50 c_Empty)))))))))))))))))) => 552.09/72.50 (((((!!) @ ( 552.09/72.50 ^[Y4 : ( 552.09/72.50 (($i > $i) > 552.09/72.50 $i > $i) > $i) > $i]: 552.09/72.50 (((!!) @ ( 552.09/72.50 ^[Y5 : $i > $i]: 552.09/72.50 ( 552.09/72.50 ( 552.09/72.50 (!!) @ ( 552.09/72.50 ^[Y6 : $i]: 552.09/72.50 (( 552.09/72.50 (!!) @ ( 552.09/72.50 ^[Y7 : $i]: 552.09/72.50 (( 552.09/72.50 (Y3 @ 552.09/72.50 ( 552.09/72.50 ^[Y8 : $i, 552.09/72.50 Y9 : 552.09/72.50 $i > $i > $i]: 552.09/72.50 (c_Empty)) @ 552.09/72.50 Y7 @ 552.09/72.50 ( 552.09/72.50 c_setsum @ 552.09/72.50 ( 552.09/72.50 c_setsum @ 552.09/72.50 ( 552.09/72.50 c_setsum @ 552.09/72.50 ( 552.09/72.50 c_setsum @ 552.09/72.50 c_Empty @ 552.09/72.50 c_Empty) @ 552.09/72.50 c_Empty) @ 552.09/72.50 ( 552.09/72.50 c_setsum @ 552.09/72.50 ( 552.09/72.50 c_setsum @ 552.09/72.50 c_Empty @ 552.09/72.50 c_Empty) @ 552.09/72.50 ( 552.09/72.50 c_Inj0 @ 552.09/72.50 c_Empty))) @ 552.09/72.50 ( 552.09/72.50 c_setsum @ 552.09/72.50 c_Empty @ 552.09/72.50 ( 552.09/72.50 c_Inj1 @ 552.09/72.50 ( 552.09/72.50 c_setsum @ 552.09/72.50 c_Empty @ 552.09/72.50 c_Empty))))) => 552.09/72.50 (Y3 @ 552.09/72.50 ( 552.09/72.50 ^[Y8 : $i, 552.09/72.50 Y9 : 552.09/72.50 $i > $i > $i]: 552.09/72.50 (Y7)) @ 552.09/72.50 ( 552.09/72.50 c_setsum @ 552.09/72.50 ( 552.09/72.50 Y4 @ 552.09/72.50 ( 552.09/72.50 ^[Y8 : 552.09/72.50 ( 552.09/72.50 $i > $i) > 552.09/72.50 $i > $i]: 552.09/72.50 (Y7))) @ 552.09/72.50 Y6) @ 552.09/72.50 ( 552.09/72.50 c_Inj0 @ 552.09/72.50 ( 552.09/72.50 c_Inj1 @ 552.09/72.50 ( 552.09/72.50 c_setsum @ 552.09/72.50 ( 552.09/72.50 c_setsum @ 552.09/72.50 c_Empty @ 552.09/72.50 c_Empty) @ 552.09/72.50 ( 552.09/72.50 c_setsum @ 552.09/72.50 c_Empty @ 552.09/72.50 c_Empty))))))))))))))))))) => 552.09/72.50 (((((!!) @ ( 552.09/72.50 ^[Y4 : $i]: 552.09/72.50 (((!!) @ ( 552.09/72.50 ^[Y5 : 552.09/72.50 $i > 552.09/72.50 ( 552.09/72.50 ( 552.09/72.50 $i > $i) > 552.09/72.50 $i > $i) > $i]: 552.09/72.50 (( 552.09/72.50 (!!) @ ( 552.09/72.50 ^[Y6 : 552.09/72.50 ( 552.09/72.50 ( 552.09/72.50 ( 552.09/72.50 $i > $i) > 552.09/72.50 $i > $i) > 552.09/72.50 ( 552.09/72.50 $i > $i) > 552.09/72.50 $i > $i) > 552.09/72.50 ( 552.09/72.50 $i > $i > $i) > $i]: 552.09/72.50 (( 552.09/72.50 (!!) @ ( 552.09/72.50 ^[Y7 : $i]: 552.09/72.50 (( 552.09/72.50 (c_In @ 552.09/72.50 ( 552.09/72.50 c_Inj0 @ 552.09/72.50 c_Empty) @ 552.09/72.50 ( 552.09/72.50 c_setsum @ 552.09/72.50 c_Empty @ 552.09/72.50 ( 552.09/72.50 Y5 @ 552.09/72.50 ( 552.09/72.50 c_Inj0 @ 552.09/72.50 ( 552.09/72.50 c_setsum @ 552.09/72.50 c_Empty @ 552.09/72.50 c_Empty)) @ 552.09/72.50 ( 552.09/72.50 ^[Y8 : $i > $i, 552.09/72.50 Y9 : $i]: 552.09/72.50 (c_Inj0 @ 552.09/72.50 c_Empty))))) => 552.09/72.50 (( 552.09/72.50 (Y0 @ 552.09/72.50 ( 552.09/72.50 ^[Y8 : $i, 552.09/72.50 Y9 : $i, 552.09/72.50 Y10 : 552.09/72.50 ( 552.09/72.50 $i > $i) > 552.09/72.50 $i > $i]: 552.09/72.50 (Y8)) @ 552.09/72.50 Y7 @ 552.09/72.50 ( 552.09/72.50 Y6 @ 552.09/72.50 ( 552.09/72.50 ^[Y8 : 552.09/72.50 ( 552.09/72.50 $i > $i) > 552.09/72.50 $i > $i, 552.09/72.50 Y9 : $i > $i, 552.09/72.50 Y10 : $i]: 552.09/72.50 (c_Inj1 @ 552.09/72.50 c_Empty)) @ 552.09/72.50 ( 552.09/72.50 ^[Y8 : $i, 552.09/72.50 Y9 : $i]: 552.09/72.50 (c_Empty)))) => 552.09/72.50 (Y2 @ 552.09/72.50 ( 552.09/72.50 ^[Y8 : $i]: 552.09/72.50 (Y8)) @ 552.09/72.50 ( 552.09/72.50 ^[Y8 : ( 552.09/72.50 ( 552.09/72.50 $i > $i) > $i) > $i, 552.09/72.50 Y9 : 552.09/72.50 $i > $i > $i, 552.09/72.50 Y10 : $i, 552.09/72.50 Y11 : $i]: 552.09/72.50 (Y10)) @ 552.09/72.50 ( 552.09/72.50 c_setsum @ 552.09/72.50 ( 552.09/72.50 c_Inj0 @ 552.09/72.50 c_Empty) @ 552.09/72.50 ( 552.09/72.50 Y6 @ 552.09/72.50 ( 552.09/72.50 ^[Y8 : 552.09/72.50 ( 552.09/72.50 $i > $i) > 552.09/72.50 $i > $i, 552.09/72.50 Y9 : $i > $i, 552.09/72.50 Y10 : $i]: 552.09/72.50 (c_Inj0 @ 552.09/72.50 c_Empty)) @ 552.09/72.50 ( 552.09/72.50 ^[Y8 : $i, 552.09/72.50 Y9 : $i]: 552.09/72.50 (Y9))))))))))))))))))))) => 552.09/72.50 (((((!!) @ ( 552.09/72.50 ^[Y4 : 552.09/72.50 $i > $i > $i]: 552.09/72.50 ( 552.09/72.50 ( 552.09/72.50 (!!) @ ( 552.09/72.50 ^[Y5 : $i > $i]: 552.09/72.50 (( 552.09/72.50 (!!) @ ( 552.09/72.50 ^[Y6 : $i]: 552.09/72.50 (( 552.09/72.50 (!!) @ ( 552.09/72.50 ^[Y7 : $i > $i]: 552.09/72.50 (( 552.09/72.50 (c_In @ 552.09/72.50 ( 552.09/72.50 c_Inj0 @ 552.09/72.50 ( 552.09/72.50 c_Inj1 @ 552.09/72.50 c_Empty)) @ 552.09/72.50 ( 552.09/72.50 c_setsum @ 552.09/72.50 ( 552.09/72.50 c_setsum @ 552.09/72.50 ( 552.09/72.50 c_Inj0 @ 552.09/72.50 c_Empty) @ 552.09/72.50 ( 552.09/72.50 c_setsum @ 552.09/72.50 ( 552.09/72.50 c_setsum @ 552.09/72.50 c_Empty @ 552.09/72.50 c_Empty) @ 552.09/72.50 ( 552.09/72.50 c_setsum @ 552.09/72.50 c_Empty @ 552.09/72.50 c_Empty))) @ 552.09/72.50 ( 552.09/72.50 c_setsum @ 552.09/72.50 c_Empty @ 552.09/72.50 ( 552.09/72.50 c_setsum @ 552.09/72.50 ( 552.09/72.50 c_Inj0 @ 552.09/72.50 c_Empty) @ 552.09/72.50 ( 552.09/72.50 Y4 @ 552.09/72.50 c_Empty @ 552.09/72.50 c_Empty))))) => 552.09/72.50 (( 552.09/72.50 (Y2 @ 552.09/72.50 ( 552.09/72.50 ^[Y8 : $i]: 552.09/72.50 (c_Empty)) @ 552.09/72.50 ( 552.09/72.50 ^[Y8 : ( 552.09/72.50 ( 552.09/72.50 $i > $i) > $i) > $i, 552.09/72.50 Y9 : 552.09/72.50 $i > $i > $i, 552.09/72.50 Y10 : $i, 552.09/72.50 Y11 : $i]: 552.09/72.50 (c_Empty)) @ 552.09/72.50 ( 552.09/72.50 c_setsum @ 552.09/72.50 ( 552.09/72.50 c_setsum @ 552.09/72.50 c_Empty @ 552.09/72.50 ( 552.09/72.50 c_setsum @ 552.09/72.50 ( 552.09/72.50 c_setsum @ 552.09/72.50 c_Empty @ 552.09/72.50 c_Empty) @ 552.09/72.50 ( 552.09/72.50 c_Inj0 @ 552.09/72.50 c_Empty))) @ 552.09/72.50 ( 552.09/72.50 c_Inj1 @ 552.09/72.50 Y6))) => 552.09/72.50 (Y1 @ 552.09/72.50 ( 552.09/72.50 ^[Y8 : $i, 552.09/72.50 Y9 : ( 552.09/72.50 $i > $i) > $i]: 552.09/72.50 (c_Inj0 @ 552.09/72.50 c_Empty)) @ 552.09/72.50 ( 552.09/72.50 Y4 @ 552.09/72.50 c_Empty @ 552.09/72.50 ( 552.09/72.50 Y5 @ 552.09/72.50 ( 552.09/72.50 c_setsum @ 552.09/72.50 ( 552.09/72.50 c_Inj1 @ 552.09/72.50 c_Empty) @ 552.09/72.50 c_Empty)))))))))))))))))))) => 552.09/72.50 (((((!!) @ ( 552.09/72.50 ^[Y4 : $i]: 552.09/72.50 (( 552.09/72.50 (!!) @ ( 552.09/72.50 ^[Y5 : $i > $i]: 552.09/72.50 (( 552.09/72.50 (!!) @ ( 552.09/72.50 ^[Y6 : $i > $i]: 552.09/72.50 (( 552.09/72.50 (!!) @ ( 552.09/72.50 ^[Y7 : $i]: 552.09/72.50 (( 552.09/72.50 (Y3 @ 552.09/72.50 ( 552.09/72.50 ^[Y8 : $i, 552.09/72.50 Y9 : 552.09/72.50 $i > $i > $i]: 552.09/72.50 (c_Empty)) @ 552.09/72.50 c_Empty @ 552.09/72.50 c_Empty) => 552.09/72.50 (Y1 @ 552.09/72.50 ( 552.09/72.50 ^[Y8 : $i, 552.09/72.50 Y9 : ( 552.09/72.50 $i > $i) > $i]: 552.09/72.50 (Y9 @ 552.09/72.50 (^[Y10 : $i]: 552.09/72.50 (c_setsum @ 552.09/72.50 (c_Inj1 @ 552.09/72.50 (c_Inj0 @ 552.09/72.50 c_Empty)) @ 552.09/72.50 (c_setsum @ 552.09/72.50 c_Empty @ 552.09/72.50 c_Empty))))) @ 552.09/72.50 c_Empty))))))))))))))) => 552.09/72.50 (((( 552.09/72.50 (!!) @ ( 552.09/72.50 ^[Y4 : $i]: 552.09/72.50 (( 552.09/72.50 (!!) @ ( 552.09/72.50 ^[Y5 : $i]: 552.09/72.50 (( 552.09/72.50 (!!) @ ( 552.09/72.50 ^[Y6 : $i]: 552.09/72.50 (( 552.09/72.50 (!!) @ ( 552.09/72.50 ^[Y7 : $i]: 552.09/72.50 (( 552.09/72.50 (c_In @ 552.09/72.50 ( 552.09/72.50 c_Inj0 @ 552.09/72.50 Y6) @ 552.09/72.50 ( 552.09/72.50 c_setsum @ 552.09/72.50 ( 552.09/72.50 c_setsum @ 552.09/72.50 Y4 @ 552.09/72.50 ( 552.09/72.50 c_setsum @ 552.09/72.50 Y5 @ 552.09/72.50 ( 552.09/72.50 c_setsum @ 552.09/72.50 c_Empty @ 552.09/72.50 c_Empty))) @ 552.09/72.50 ( 552.09/72.50 c_Inj1 @ 552.09/72.50 ( 552.09/72.50 c_setsum @ 552.09/72.50 Y5 @ 552.09/72.50 c_Empty)))) => 552.09/72.50 (( 552.09/72.50 (Y1 @ 552.09/72.50 ( 552.09/72.50 ^[Y8 : $i, 552.09/72.50 Y9 : ( 552.09/72.50 $i > $i) > $i]: 552.09/72.50 (Y7)) @ 552.09/72.50 c_Empty) => 552.09/72.50 (Y2 @ 552.09/72.50 ( 552.09/72.50 ^[Y8 : $i]: 552.09/72.50 (c_Empty)) @ 552.09/72.50 ( 552.09/72.50 ^[Y8 : ( 552.09/72.50 ( 552.09/72.50 $i > $i) > $i) > $i, 552.09/72.50 Y9 : 552.09/72.50 $i > $i > $i, 552.09/72.50 Y10 : $i, 552.09/72.50 Y11 : $i]: 552.09/72.50 (c_setsum @ 552.09/72.50 c_Empty @ 552.09/72.50 c_Empty)) @ 552.09/72.50 Y5))))))))))))))))) => 552.09/72.50 (( 552.09/72.50 (( 552.09/72.50 (!!) @ ( 552.09/72.50 ^[Y4 : ( 552.09/72.50 ( 552.09/72.50 ( 552.09/72.50 $i > $i) > 552.09/72.50 $i > $i) > $i) > $i]: 552.09/72.50 (( 552.09/72.50 (!!) @ ( 552.09/72.50 ^[Y5 : $i]: 552.09/72.50 (( 552.09/72.50 (!!) @ ( 552.09/72.50 ^[Y6 : $i]: 552.09/72.50 (( 552.09/72.50 (!!) @ ( 552.09/72.50 ^[Y7 : $i]: 552.09/72.50 (( 552.09/72.50 (c_In @ 552.09/72.50 ( 552.09/72.50 c_Inj1 @ 552.09/72.50 c_Empty) @ 552.09/72.50 Y5) => 552.09/72.50 (( 552.09/72.50 (Y1 @ 552.09/72.50 ( 552.09/72.50 ^[Y8 : $i, 552.09/72.50 Y9 : ( 552.09/72.50 $i > $i) > $i]: 552.09/72.50 (c_Empty)) @ 552.09/72.50 c_Empty) => 552.09/72.50 (Y0 @ 552.09/72.50 ( 552.09/72.50 ^[Y8 : $i, 552.09/72.50 Y9 : $i, 552.09/72.50 Y10 : 552.09/72.50 ( 552.09/72.50 $i > $i) > 552.09/72.50 $i > $i]: 552.09/72.50 (c_Inj1 @ 552.09/72.50 c_Empty)) @ 552.09/72.50 ( 552.09/72.50 c_Inj1 @ 552.09/72.50 ( 552.09/72.50 c_Inj1 @ 552.09/72.50 ( 552.09/72.50 Y4 @ 552.09/72.50 ( 552.09/72.50 ^[Y8 : 552.09/72.50 ( 552.09/72.50 $i > $i) > 552.09/72.50 $i > $i]: 552.09/72.50 (c_Empty))))) @ 552.09/72.50 ( 552.09/72.50 c_Inj1 @ 552.09/72.50 ( 552.09/72.50 c_setsum @ 552.09/72.50 ( 552.09/72.50 c_setsum @ 552.09/72.50 ( 552.09/72.50 c_Inj0 @ 552.09/72.50 c_Empty) @ 552.09/72.50 c_Empty) @ 552.09/72.50 ( 552.09/72.50 c_Inj1 @ 552.09/72.50 ( 552.09/72.50 c_Inj0 @ 552.09/72.50 c_Empty))))))))))))))))))))) => 552.09/72.50 (( 552.09/72.50 (( 552.09/72.50 (!!) @ ( 552.09/72.50 ^[Y4 : $i > $i]: 552.09/72.50 (( 552.09/72.50 (!!) @ ( 552.09/72.50 ^[Y5 : $i]: 552.09/72.50 (( 552.09/72.50 (!!) @ ( 552.09/72.50 ^[Y6 : $i > $i]: 552.09/72.50 (( 552.09/72.50 (!!) @ ( 552.09/72.50 ^[Y7 : $i]: 552.09/72.50 (( 552.09/72.50 (Y0 @ 552.09/72.50 ( 552.09/72.50 ^[Y8 : $i, 552.09/72.50 Y9 : $i, 552.09/72.50 Y10 : 552.09/72.50 ( 552.09/72.50 $i > $i) > 552.09/72.50 $i > $i]: 552.09/72.50 (c_Empty)) @ 552.09/72.50 ( 552.09/72.50 Y4 @ 552.09/72.50 c_Empty) @ 552.09/72.50 Y7) => 552.09/72.50 (c_False))))))))))))))) => 552.09/72.50 (c_False))))))))))))))))))))))))))))))), 552.09/72.50 inference('cnf', [status(esa)], [zf_stmt_0])). 552.09/72.50 thf(ax13, axiom, (( c_not ) = ( ^[X0:$o]: ( ( X0 ) => ( c_False ) ) ))). 552.09/72.50 thf(zip_derived_cl0, plain, 552.09/72.50 (((c_not) = ((^[Y0 : $o]: (((Y0) => (c_False))))))), 552.09/72.50 inference('cnf', [status(esa)], [ax13])). 552.09/72.50 thf(zip_derived_cl34, plain, 552.09/72.50 (![X1 : $o]: ((c_not @ X1) = ((^[Y0 : $o]: (((Y0) => (c_False)))) @ X1))), 552.09/72.50 inference('ho_complete_eq', [status(thm)], [zip_derived_cl0])). 552.09/72.50 thf(zip_derived_cl35, plain, 552.09/72.50 (![X1 : $o]: ((c_not @ X1) = (((X1) => (c_False))))), 552.09/72.50 inference('ho_norm', [status(thm)], [zip_derived_cl34])). 552.09/72.50 thf(zip_derived_cl26, plain, (~ (c_False)), 552.09/72.50 inference('ho.refine.early.bird', [status(thm)], [zip_derived_cl24])). 552.09/72.50 thf(zip_derived_cl36, plain, 552.09/72.50 (![X1 : $o]: ((c_not @ X1) = (((X1) => ($false))))), 552.09/72.50 inference('demod', [status(thm)], [zip_derived_cl35, zip_derived_cl26])). 552.09/72.50 thf(zip_derived_cl37, plain, (![X1 : $o]: ((c_not @ X1) = (((~) @ X1)))), 552.09/72.50 inference('simplify boolean subterms', [status(thm)], [zip_derived_cl36])). 552.09/72.50 thf(zip_derived_cl38, plain, (![X1 : $o]: ((c_not @ X1) != (X1))), 552.09/72.50 inference('simplify nested equalities', [status(thm)], [zip_derived_cl37])). 552.09/72.50 thf(zip_derived_cl43, plain, (![X1 : $o]: ( (c_not @ X1) | (X1))), 552.09/72.50 inference('lazy_cnf_xor', [status(thm)], [zip_derived_cl38])). 552.09/72.50 thf(zip_derived_cl124, plain, 552.09/72.50 ( (((!!) @ (^[Y0 : ($i > $i > (($i > $i) > $i > $i) > $i) > $i > $i > $o]: 552.09/72.50 (((!!) @ (^[Y1 : ($i > (($i > $i) > $i) > $i) > $i > $o]: 552.09/72.50 (((!!) @ (^[Y2 : ($i > $i) > 552.09/72.50 (((($i > $i) > $i) > $i) > 552.09/72.50 ($i > $i > $i) > $i > $i > $i) > 552.09/72.50 $i > $o]: 552.09/72.50 (((!!) @ (^[Y3 : ($i > 552.09/72.50 ($i > $i > $i) > $i) > 552.09/72.50 $i > $i > $o]: 552.09/72.50 (((((!!) @ (^[Y4 : ( 552.09/72.50 ( 552.09/72.50 $i > $i > $i) > 552.09/72.50 ( 552.09/72.50 $i > $i) > 552.09/72.50 $i > $i) > $i]: 552.09/72.50 ( 552.09/72.50 ( 552.09/72.50 (!!) @ ( 552.09/72.50 ^[Y5 : $i]: 552.09/72.50 (( 552.09/72.50 (!!) @ ( 552.09/72.50 ^[Y6 : $i]: 552.09/72.50 (( 552.09/72.50 (!!) @ ( 552.09/72.50 ^[Y7 : $i]: 552.09/72.50 (( 552.09/72.50 (c_In @ 552.09/72.50 ( 552.09/72.50 c_Inj0 @ 552.09/72.50 Y6) @ 552.09/72.50 ( 552.09/72.50 c_setsum @ 552.09/72.50 ( 552.09/72.50 c_setsum @ 552.09/72.50 c_Empty @ 552.09/72.50 c_Empty) @ 552.09/72.50 ( 552.09/72.50 c_setsum @ 552.09/72.50 Y6 @ 552.09/72.50 ( 552.09/72.50 c_Inj0 @ 552.09/72.50 ( 552.09/72.50 c_setsum @ 552.09/72.50 c_Empty @ 552.09/72.50 c_Empty))))) => 552.09/72.50 (( 552.09/72.50 (Y2 @ 552.09/72.50 ( 552.09/72.50 ^[Y8 : $i]: 552.09/72.50 (c_Inj0 @ 552.09/72.50 (c_Inj0 @ 552.09/72.50 c_Empty))) @ 552.09/72.50 ( 552.09/72.50 ^[Y8 : ( 552.09/72.50 ( 552.09/72.50 $i > $i) > $i) > $i, 552.09/72.50 Y9 : 552.09/72.50 $i > $i > $i, 552.09/72.50 Y10 : $i, 552.09/72.50 Y11 : $i]: 552.09/72.50 (Y10)) @ 552.09/72.50 ( 552.09/72.50 c_setsum @ 552.09/72.50 ( 552.09/72.50 Y4 @ 552.09/72.50 ( 552.09/72.50 ^[Y8 : 552.09/72.50 $i > $i > $i, 552.09/72.50 Y9 : $i > $i, 552.09/72.50 Y10 : $i]: 552.09/72.50 (c_Inj0 @ 552.09/72.50 (c_setsum @ 552.09/72.50 c_Empty @ 552.09/72.50 c_Empty)))) @ 552.09/72.50 c_Empty)) => 552.09/72.50 (Y3 @ 552.09/72.50 ( 552.09/72.50 ^[Y8 : $i, 552.09/72.50 Y9 : 552.09/72.50 $i > $i > $i]: 552.09/72.50 (c_Inj0 @ 552.09/72.50 Y8)) @ 552.09/72.50 Y5 @ 552.09/72.50 ( 552.09/72.50 c_setsum @ 552.09/72.50 ( 552.09/72.50 c_setsum @ 552.09/72.50 ( 552.09/72.50 c_setsum @ 552.09/72.50 c_Empty @ 552.09/72.50 ( 552.09/72.50 c_setsum @ 552.09/72.50 c_Empty @ 552.09/72.50 c_Empty)) @ 552.09/72.50 ( 552.09/72.50 c_Inj0 @ 552.09/72.50 c_Empty)) @ 552.09/72.50 c_Empty)))))))))))))))))) => 552.09/72.50 (((((!!) @ (^[Y4 : ( 552.09/72.50 ( 552.09/72.50 ( 552.09/72.50 $i > $i) > 552.09/72.50 $i > $i) > $i) > $i]: 552.09/72.50 (( 552.09/72.50 (!!) @ ( 552.09/72.50 ^[Y5 : $i > $i]: 552.09/72.50 (( 552.09/72.50 (!!) @ ( 552.09/72.50 ^[Y6 : $i]: 552.09/72.50 (( 552.09/72.50 (!!) @ ( 552.09/72.50 ^[Y7 : $i]: 552.09/72.50 (( 552.09/72.50 (Y3 @ 552.09/72.50 ( 552.09/72.50 ^[Y8 : $i, 552.09/72.50 Y9 : 552.09/72.50 $i > $i > $i]: 552.09/72.50 (c_Empty)) @ 552.09/72.50 Y7 @ 552.09/72.50 ( 552.09/72.50 c_setsum @ 552.09/72.50 ( 552.09/72.50 c_setsum @ 552.09/72.50 ( 552.09/72.50 c_setsum @ 552.09/72.50 ( 552.09/72.50 c_setsum @ 552.09/72.50 c_Empty @ 552.09/72.50 c_Empty) @ 552.09/72.50 c_Empty) @ 552.09/72.50 ( 552.09/72.50 c_setsum @ 552.09/72.50 ( 552.09/72.50 c_setsum @ 552.09/72.50 c_Empty @ 552.09/72.50 c_Empty) @ 552.09/72.50 ( 552.09/72.50 c_Inj0 @ 552.09/72.50 c_Empty))) @ 552.09/72.50 ( 552.09/72.50 c_setsum @ 552.09/72.50 c_Empty @ 552.09/72.50 ( 552.09/72.50 c_Inj1 @ 552.09/72.50 ( 552.09/72.50 c_setsum @ 552.09/72.50 c_Empty @ 552.09/72.50 c_Empty))))) => 552.09/72.50 (Y3 @ 552.09/72.50 ( 552.09/72.50 ^[Y8 : $i, 552.09/72.50 Y9 : 552.09/72.50 $i > $i > $i]: 552.09/72.50 (Y7)) @ 552.09/72.50 ( 552.09/72.50 c_setsum @ 552.09/72.50 ( 552.09/72.50 Y4 @ 552.09/72.50 ( 552.09/72.50 ^[Y8 : 552.09/72.50 ( 552.09/72.50 $i > $i) > 552.09/72.50 $i > $i]: 552.09/72.50 (Y7))) @ 552.09/72.50 Y6) @ 552.09/72.50 ( 552.09/72.50 c_Inj0 @ 552.09/72.50 ( 552.09/72.50 c_Inj1 @ 552.09/72.50 ( 552.09/72.50 c_setsum @ 552.09/72.50 ( 552.09/72.50 c_setsum @ 552.09/72.50 c_Empty @ 552.09/72.50 c_Empty) @ 552.09/72.50 ( 552.09/72.50 c_setsum @ 552.09/72.50 c_Empty @ 552.09/72.50 c_Empty))))))))))))))))))) => 552.09/72.50 (((((!!) @ ( 552.09/72.50 ^[Y4 : $i]: 552.09/72.50 (((!!) @ ( 552.09/72.50 ^[Y5 : 552.09/72.50 $i > 552.09/72.50 ( 552.09/72.50 ( 552.09/72.50 $i > $i) > 552.09/72.50 $i > $i) > $i]: 552.09/72.50 ( 552.09/72.50 ( 552.09/72.50 (!!) @ ( 552.09/72.50 ^[Y6 : 552.09/72.50 ( 552.09/72.50 ( 552.09/72.50 ( 552.09/72.50 $i > $i) > 552.09/72.50 $i > $i) > 552.09/72.50 ( 552.09/72.50 $i > $i) > 552.09/72.50 $i > $i) > 552.09/72.50 ( 552.09/72.50 $i > $i > $i) > $i]: 552.09/72.50 (( 552.09/72.50 (!!) @ ( 552.09/72.50 ^[Y7 : $i]: 552.09/72.50 (( 552.09/72.50 (c_In @ 552.09/72.50 ( 552.09/72.50 c_Inj0 @ 552.09/72.50 c_Empty) @ 552.09/72.50 ( 552.09/72.50 c_setsum @ 552.09/72.50 c_Empty @ 552.09/72.50 ( 552.09/72.50 Y5 @ 552.09/72.50 ( 552.09/72.50 c_Inj0 @ 552.09/72.50 ( 552.09/72.50 c_setsum @ 552.09/72.50 c_Empty @ 552.09/72.50 c_Empty)) @ 552.09/72.50 ( 552.09/72.50 ^[Y8 : $i > $i, 552.09/72.50 Y9 : $i]: 552.09/72.50 (c_Inj0 @ 552.09/72.50 c_Empty))))) => 552.09/72.50 (( 552.09/72.50 (Y0 @ 552.09/72.50 ( 552.09/72.50 ^[Y8 : $i, 552.09/72.50 Y9 : $i, 552.09/72.50 Y10 : 552.09/72.50 ( 552.09/72.50 $i > $i) > 552.09/72.50 $i > $i]: 552.09/72.50 (Y8)) @ 552.09/72.50 Y7 @ 552.09/72.50 ( 552.09/72.50 Y6 @ 552.09/72.50 ( 552.09/72.50 ^[Y8 : 552.09/72.50 ( 552.09/72.50 $i > $i) > 552.09/72.50 $i > $i, 552.09/72.50 Y9 : $i > $i, 552.09/72.50 Y10 : $i]: 552.09/72.50 (c_Inj1 @ 552.09/72.50 c_Empty)) @ 552.09/72.50 ( 552.09/72.50 ^[Y8 : $i, 552.09/72.50 Y9 : $i]: 552.09/72.50 (c_Empty)))) => 552.09/72.50 (Y2 @ 552.09/72.50 ( 552.09/72.50 ^[Y8 : $i]: 552.09/72.50 (Y8)) @ 552.09/72.50 ( 552.09/72.50 ^[Y8 : ( 552.09/72.50 ( 552.09/72.50 $i > $i) > $i) > $i, 552.09/72.50 Y9 : 552.09/72.50 $i > $i > $i, 552.09/72.50 Y10 : $i, 552.09/72.50 Y11 : $i]: 552.09/72.50 (Y10)) @ 552.09/72.50 ( 552.09/72.50 c_setsum @ 552.09/72.50 ( 552.09/72.50 c_Inj0 @ 552.09/72.50 c_Empty) @ 552.09/72.50 ( 552.09/72.50 Y6 @ 552.09/72.50 ( 552.09/72.50 ^[Y8 : 552.09/72.50 ( 552.09/72.50 $i > $i) > 552.09/72.50 $i > $i, 552.09/72.50 Y9 : $i > $i, 552.09/72.50 Y10 : $i]: 552.09/72.50 (c_Inj0 @ 552.09/72.50 c_Empty)) @ 552.09/72.50 ( 552.09/72.50 ^[Y8 : $i, 552.09/72.50 Y9 : $i]: 552.09/72.50 (Y9))))))))))))))))))))) => 552.09/72.50 (((((!!) @ ( 552.09/72.50 ^[Y4 : 552.09/72.50 $i > $i > $i]: 552.09/72.50 (((!!) @ ( 552.09/72.50 ^[Y5 : $i > $i]: 552.09/72.50 (( 552.09/72.50 (!!) @ ( 552.09/72.50 ^[Y6 : $i]: 552.09/72.50 (( 552.09/72.50 (!!) @ ( 552.09/72.50 ^[Y7 : $i > $i]: 552.09/72.50 (( 552.09/72.50 (c_In @ 552.09/72.50 ( 552.09/72.50 c_Inj0 @ 552.09/72.50 ( 552.09/72.50 c_Inj1 @ 552.09/72.50 c_Empty)) @ 552.09/72.50 ( 552.09/72.50 c_setsum @ 552.09/72.50 ( 552.09/72.50 c_setsum @ 552.09/72.50 ( 552.09/72.50 c_Inj0 @ 552.09/72.50 c_Empty) @ 552.09/72.50 ( 552.09/72.50 c_setsum @ 552.09/72.50 ( 552.09/72.50 c_setsum @ 552.09/72.50 c_Empty @ 552.09/72.50 c_Empty) @ 552.09/72.50 ( 552.09/72.50 c_setsum @ 552.09/72.50 c_Empty @ 552.09/72.50 c_Empty))) @ 552.09/72.50 ( 552.09/72.50 c_setsum @ 552.09/72.50 c_Empty @ 552.09/72.50 ( 552.09/72.50 c_setsum @ 552.09/72.50 ( 552.09/72.50 c_Inj0 @ 552.09/72.50 c_Empty) @ 552.09/72.50 ( 552.09/72.50 Y4 @ 552.09/72.50 c_Empty @ 552.09/72.50 c_Empty))))) => 552.09/72.50 (( 552.09/72.50 (Y2 @ 552.09/72.50 ( 552.09/72.50 ^[Y8 : $i]: 552.09/72.50 (c_Empty)) @ 552.09/72.50 ( 552.09/72.50 ^[Y8 : ( 552.09/72.50 ( 552.09/72.50 $i > $i) > $i) > $i, 552.09/72.50 Y9 : 552.09/72.50 $i > $i > $i, 552.09/72.50 Y10 : $i, 552.09/72.50 Y11 : $i]: 552.09/72.50 (c_Empty)) @ 552.09/72.50 ( 552.09/72.50 c_setsum @ 552.09/72.50 ( 552.09/72.50 c_setsum @ 552.09/72.50 c_Empty @ 552.09/72.50 ( 552.09/72.50 c_setsum @ 552.09/72.50 ( 552.09/72.50 c_setsum @ 552.09/72.50 c_Empty @ 552.09/72.50 c_Empty) @ 552.09/72.50 ( 552.09/72.50 c_Inj0 @ 552.09/72.50 c_Empty))) @ 552.09/72.50 ( 552.09/72.50 c_Inj1 @ 552.09/72.50 Y6))) => 552.09/72.50 (Y1 @ 552.09/72.50 ( 552.09/72.50 ^[Y8 : $i, 552.09/72.50 Y9 : ( 552.09/72.50 $i > $i) > $i]: 552.09/72.50 (c_Inj0 @ 552.09/72.50 c_Empty)) @ 552.09/72.50 ( 552.09/72.50 Y4 @ 552.09/72.50 c_Empty @ 552.09/72.50 ( 552.09/72.50 Y5 @ 552.09/72.50 ( 552.09/72.50 c_setsum @ 552.09/72.50 ( 552.09/72.50 c_Inj1 @ 552.09/72.50 c_Empty) @ 552.09/72.50 c_Empty)))))))))))))))))))) => 552.09/72.50 (((((!!) @ ( 552.09/72.50 ^[Y4 : $i]: 552.09/72.50 ( 552.09/72.50 ( 552.09/72.50 (!!) @ ( 552.09/72.50 ^[Y5 : $i > $i]: 552.09/72.50 (( 552.09/72.50 (!!) @ ( 552.09/72.50 ^[Y6 : $i > $i]: 552.09/72.50 (( 552.09/72.50 (!!) @ ( 552.09/72.50 ^[Y7 : $i]: 552.09/72.50 (( 552.09/72.50 (Y3 @ 552.09/72.50 ( 552.09/72.50 ^[Y8 : $i, 552.09/72.50 Y9 : 552.09/72.50 $i > $i > $i]: 552.09/72.50 (c_Empty)) @ 552.09/72.50 c_Empty @ 552.09/72.50 c_Empty) => 552.09/72.50 (Y1 @ 552.09/72.50 ( 552.09/72.50 ^[Y8 : $i, 552.09/72.50 Y9 : ( 552.09/72.50 $i > $i) > $i]: 552.09/72.50 (Y9 @ 552.09/72.50 (^[Y10 : $i]: 552.09/72.50 (c_setsum @ 552.09/72.50 (c_Inj1 @ 552.09/72.50 (c_Inj0 @ 552.09/72.50 c_Empty)) @ 552.09/72.50 (c_setsum @ 552.09/72.50 c_Empty @ 552.09/72.50 c_Empty))))) @ 552.09/72.50 c_Empty))))))))))))))) => 552.09/72.50 (((((!!) @ ( 552.09/72.50 ^[Y4 : $i]: 552.09/72.50 (( 552.09/72.50 (!!) @ ( 552.09/72.50 ^[Y5 : $i]: 552.09/72.50 (( 552.09/72.50 (!!) @ ( 552.09/72.50 ^[Y6 : $i]: 552.09/72.50 (( 552.09/72.50 (!!) @ ( 552.09/72.50 ^[Y7 : $i]: 552.09/72.50 (( 552.09/72.50 (c_In @ 552.09/72.50 ( 552.09/72.50 c_Inj0 @ 552.09/72.50 Y6) @ 552.09/72.50 ( 552.09/72.50 c_setsum @ 552.09/72.50 ( 552.09/72.50 c_setsum @ 552.09/72.50 Y4 @ 552.09/72.50 ( 552.09/72.50 c_setsum @ 552.09/72.50 Y5 @ 552.09/72.50 ( 552.09/72.50 c_setsum @ 552.09/72.50 c_Empty @ 552.09/72.50 c_Empty))) @ 552.09/72.50 ( 552.09/72.50 c_Inj1 @ 552.09/72.50 ( 552.09/72.50 c_setsum @ 552.09/72.50 Y5 @ 552.09/72.50 c_Empty)))) => 552.09/72.50 (( 552.09/72.50 (Y1 @ 552.09/72.50 ( 552.09/72.50 ^[Y8 : $i, 552.09/72.50 Y9 : ( 552.09/72.50 $i > $i) > $i]: 552.09/72.50 (Y7)) @ 552.09/72.50 c_Empty) => 552.09/72.50 (Y2 @ 552.09/72.50 ( 552.09/72.50 ^[Y8 : $i]: 552.09/72.50 (c_Empty)) @ 552.09/72.50 ( 552.09/72.50 ^[Y8 : ( 552.09/72.50 ( 552.09/72.50 $i > $i) > $i) > $i, 552.09/72.50 Y9 : 552.09/72.50 $i > $i > $i, 552.09/72.50 Y10 : $i, 552.09/72.50 Y11 : $i]: 552.09/72.50 (c_setsum @ 552.09/72.50 c_Empty @ 552.09/72.50 c_Empty)) @ 552.09/72.50 Y5))))))))))))))))) => 552.09/72.50 (((( 552.09/72.50 (!!) @ ( 552.09/72.50 ^[Y4 : ( 552.09/72.50 ( 552.09/72.50 ( 552.09/72.50 $i > $i) > 552.09/72.50 $i > $i) > $i) > $i]: 552.09/72.50 (( 552.09/72.50 (!!) @ ( 552.09/72.50 ^[Y5 : $i]: 552.09/72.50 (( 552.09/72.50 (!!) @ ( 552.09/72.50 ^[Y6 : $i]: 552.09/72.50 (( 552.09/72.50 (!!) @ ( 552.09/72.50 ^[Y7 : $i]: 552.09/72.50 (( 552.09/72.50 (c_In @ 552.09/72.50 ( 552.09/72.50 c_Inj1 @ 552.09/72.50 c_Empty) @ 552.09/72.50 Y5) => 552.09/72.50 (( 552.09/72.50 (Y1 @ 552.09/72.50 ( 552.09/72.50 ^[Y8 : $i, 552.09/72.50 Y9 : ( 552.09/72.50 $i > $i) > $i]: 552.09/72.50 (c_Empty)) @ 552.09/72.50 c_Empty) => 552.09/72.50 (Y0 @ 552.09/72.50 ( 552.09/72.50 ^[Y8 : $i, 552.09/72.50 Y9 : $i, 552.09/72.50 Y10 : 552.09/72.50 ( 552.09/72.50 $i > $i) > 552.09/72.50 $i > $i]: 552.09/72.50 (c_Inj1 @ 552.09/72.50 c_Empty)) @ 552.09/72.50 ( 552.09/72.50 c_Inj1 @ 552.09/72.50 ( 552.09/72.50 c_Inj1 @ 552.09/72.50 ( 552.09/72.50 Y4 @ 552.09/72.50 ( 552.09/72.50 ^[Y8 : 552.09/72.50 ( 552.09/72.50 $i > $i) > 552.09/72.50 $i > $i]: 552.09/72.50 (c_Empty))))) @ 552.09/72.50 ( 552.09/72.50 c_Inj1 @ 552.09/72.50 ( 552.09/72.50 c_setsum @ 552.09/72.50 ( 552.09/72.50 c_setsum @ 552.09/72.50 ( 552.09/72.50 c_Inj0 @ 552.09/72.50 c_Empty) @ 552.09/72.50 c_Empty) @ 552.09/72.50 ( 552.09/72.50 c_Inj1 @ 552.09/72.50 ( 552.09/72.50 c_Inj0 @ 552.09/72.50 c_Empty))))))))))))))))))))) => 552.09/72.50 (( 552.09/72.50 (( 552.09/72.50 (!!) @ ( 552.09/72.50 ^[Y4 : $i > $i]: 552.09/72.50 (( 552.09/72.50 (!!) @ ( 552.09/72.50 ^[Y5 : $i]: 552.09/72.50 (( 552.09/72.50 (!!) @ ( 552.09/72.50 ^[Y6 : $i > $i]: 552.09/72.50 (( 552.09/72.50 (!!) @ ( 552.09/72.50 ^[Y7 : $i]: 552.09/72.50 (( 552.09/72.50 (Y0 @ 552.09/72.50 ( 552.09/72.50 ^[Y8 : $i, 552.09/72.50 Y9 : $i, 552.09/72.50 Y10 : 552.09/72.50 ( 552.09/72.50 $i > $i) > 552.09/72.50 $i > $i]: 552.09/72.50 (c_Empty)) @ 552.09/72.50 ( 552.09/72.50 Y4 @ 552.09/72.50 c_Empty) @ 552.09/72.50 Y7) => 552.09/72.50 (c_False))))))))))))))) => 552.09/72.50 (c_False)))))))))))))))))))))))))))))), 552.09/72.50 inference('sup+', [status(thm)], [zip_derived_cl9, zip_derived_cl43])). 552.09/72.50 thf(zip_derived_cl163, plain, 552.09/72.50 (![X2 : ($i > $i > (($i > $i) > $i > $i) > $i) > $i > $i > $o]: 552.09/72.50 (((!!) @ (^[Y0 : ($i > (($i > $i) > $i) > $i) > $i > $o]: 552.09/72.50 (((!!) @ (^[Y1 : ($i > $i) > 552.09/72.50 (((($i > $i) > $i) > $i) > 552.09/72.50 ($i > $i > $i) > $i > $i > $i) > 552.09/72.50 $i > $o]: 552.09/72.50 (((!!) @ (^[Y2 : ($i > ($i > $i > $i) > $i) > 552.09/72.50 $i > $i > $o]: 552.09/72.50 (((((!!) @ (^[Y3 : (($i > $i > $i) > 552.09/72.50 ($i > $i) > 552.09/72.50 $i > $i) > $i]: 552.09/72.50 (((!!) @ (^[Y4 : $i]: 552.09/72.50 (( 552.09/72.50 (!!) @ ( 552.09/72.50 ^[Y5 : $i]: 552.09/72.50 (( 552.09/72.50 (!!) @ ( 552.09/72.50 ^[Y6 : $i]: 552.09/72.50 (( 552.09/72.50 (c_In @ 552.09/72.50 ( 552.09/72.50 c_Inj0 @ 552.09/72.50 Y5) @ 552.09/72.50 ( 552.09/72.50 c_setsum @ 552.09/72.50 ( 552.09/72.50 c_setsum @ 552.09/72.50 c_Empty @ 552.09/72.50 c_Empty) @ 552.09/72.50 ( 552.09/72.50 c_setsum @ 552.09/72.50 Y5 @ 552.09/72.50 ( 552.09/72.50 c_Inj0 @ 552.09/72.50 ( 552.09/72.50 c_setsum @ 552.09/72.50 c_Empty @ 552.09/72.50 c_Empty))))) => 552.09/72.50 (( 552.09/72.50 (Y1 @ 552.09/72.50 ( 552.09/72.50 ^[Y7 : $i]: 552.09/72.50 (c_Inj0 @ 552.09/72.50 (c_Inj0 @ 552.09/72.50 c_Empty))) @ 552.09/72.50 ( 552.09/72.50 ^[Y7 : ( 552.09/72.50 ( 552.09/72.50 $i > $i) > $i) > $i, 552.09/72.50 Y8 : 552.09/72.50 $i > $i > $i, 552.09/72.50 Y9 : $i, 552.09/72.50 Y10 : $i]: 552.09/72.50 (Y9)) @ 552.09/72.50 ( 552.09/72.50 c_setsum @ 552.09/72.50 ( 552.09/72.50 Y3 @ 552.09/72.50 ( 552.09/72.50 ^[Y7 : 552.09/72.50 $i > $i > $i, 552.09/72.50 Y8 : $i > $i, 552.09/72.50 Y9 : $i]: 552.09/72.50 (c_Inj0 @ 552.09/72.50 (c_setsum @ 552.09/72.50 c_Empty @ 552.09/72.50 c_Empty)))) @ 552.09/72.50 c_Empty)) => 552.09/72.50 (Y2 @ 552.09/72.50 ( 552.09/72.50 ^[Y7 : $i, 552.09/72.50 Y8 : 552.09/72.50 $i > $i > $i]: 552.09/72.50 (c_Inj0 @ 552.09/72.50 Y7)) @ 552.09/72.50 Y4 @ 552.09/72.50 ( 552.09/72.50 c_setsum @ 552.09/72.50 ( 552.09/72.50 c_setsum @ 552.09/72.50 ( 552.09/72.50 c_setsum @ 552.09/72.50 c_Empty @ 552.09/72.50 ( 552.09/72.50 c_setsum @ 552.09/72.50 c_Empty @ 552.09/72.50 c_Empty)) @ 552.09/72.50 ( 552.09/72.50 c_Inj0 @ 552.09/72.50 c_Empty)) @ 552.09/72.50 c_Empty)))))))))))))))))) => 552.09/72.50 (((((!!) @ (^[Y3 : ((($i > $i) > 552.09/72.50 $i > $i) > $i) > $i]: 552.09/72.50 (((!!) @ ( 552.09/72.50 ^[Y4 : $i > $i]: 552.09/72.50 (((!!) @ ( 552.09/72.50 ^[Y5 : $i]: 552.09/72.50 ( 552.09/72.50 ( 552.09/72.50 (!!) @ ( 552.09/72.50 ^[Y6 : $i]: 552.09/72.50 (( 552.09/72.50 (Y2 @ 552.09/72.50 ( 552.09/72.50 ^[Y7 : $i, 552.09/72.50 Y8 : 552.09/72.50 $i > $i > $i]: 552.09/72.50 (c_Empty)) @ 552.09/72.50 Y6 @ 552.09/72.50 ( 552.09/72.50 c_setsum @ 552.09/72.50 ( 552.09/72.50 c_setsum @ 552.09/72.50 ( 552.09/72.50 c_setsum @ 552.09/72.50 ( 552.09/72.50 c_setsum @ 552.09/72.50 c_Empty @ 552.09/72.50 c_Empty) @ 552.09/72.50 c_Empty) @ 552.09/72.50 ( 552.09/72.50 c_setsum @ 552.09/72.50 ( 552.09/72.50 c_setsum @ 552.09/72.50 c_Empty @ 552.09/72.50 c_Empty) @ 552.09/72.50 ( 552.09/72.50 c_Inj0 @ 552.09/72.50 c_Empty))) @ 552.09/72.50 ( 552.09/72.50 c_setsum @ 552.09/72.50 c_Empty @ 552.09/72.50 ( 552.09/72.50 c_Inj1 @ 552.09/72.50 ( 552.09/72.50 c_setsum @ 552.09/72.50 c_Empty @ 552.09/72.50 c_Empty))))) => 552.09/72.50 (Y2 @ 552.09/72.50 ( 552.09/72.50 ^[Y7 : $i, 552.09/72.50 Y8 : 552.09/72.50 $i > $i > $i]: 552.09/72.50 (Y6)) @ 552.09/72.50 ( 552.09/72.50 c_setsum @ 552.09/72.50 ( 552.09/72.50 Y3 @ 552.09/72.50 ( 552.09/72.50 ^[Y7 : 552.09/72.50 ( 552.09/72.50 $i > $i) > 552.09/72.50 $i > $i]: 552.09/72.50 (Y6))) @ 552.09/72.50 Y5) @ 552.09/72.50 ( 552.09/72.50 c_Inj0 @ 552.09/72.50 ( 552.09/72.50 c_Inj1 @ 552.09/72.50 ( 552.09/72.50 c_setsum @ 552.09/72.50 ( 552.09/72.50 c_setsum @ 552.09/72.50 c_Empty @ 552.09/72.50 c_Empty) @ 552.09/72.50 ( 552.09/72.50 c_setsum @ 552.09/72.50 c_Empty @ 552.09/72.50 c_Empty))))))))))))))))))) => 552.09/72.50 (((((!!) @ (^[Y3 : $i]: 552.09/72.50 (((!!) @ ( 552.09/72.50 ^[Y4 : 552.09/72.50 $i > 552.09/72.50 (($i > $i) > 552.09/72.50 $i > $i) > $i]: 552.09/72.50 (((!!) @ ( 552.09/72.50 ^[Y5 : 552.09/72.50 ( 552.09/72.50 ( 552.09/72.50 ( 552.09/72.50 $i > $i) > 552.09/72.50 $i > $i) > 552.09/72.50 ( 552.09/72.50 $i > $i) > 552.09/72.50 $i > $i) > 552.09/72.50 ( 552.09/72.50 $i > $i > $i) > $i]: 552.09/72.50 (( 552.09/72.50 (!!) @ ( 552.09/72.50 ^[Y6 : $i]: 552.09/72.50 (( 552.09/72.50 (c_In @ 552.09/72.50 ( 552.09/72.50 c_Inj0 @ 552.09/72.50 c_Empty) @ 552.09/72.50 ( 552.09/72.50 c_setsum @ 552.09/72.50 c_Empty @ 552.09/72.50 ( 552.09/72.50 Y4 @ 552.09/72.50 ( 552.09/72.50 c_Inj0 @ 552.09/72.50 ( 552.09/72.50 c_setsum @ 552.09/72.50 c_Empty @ 552.09/72.50 c_Empty)) @ 552.09/72.50 ( 552.09/72.50 ^[Y7 : $i > $i, 552.09/72.50 Y8 : $i]: 552.09/72.50 (c_Inj0 @ 552.09/72.50 c_Empty))))) => 552.09/72.50 (( 552.09/72.50 (X2 @ 552.09/72.50 ( 552.09/72.50 ^[Y7 : $i, 552.09/72.50 Y8 : $i, 552.09/72.50 Y9 : 552.09/72.50 ( 552.09/72.50 $i > $i) > 552.09/72.50 $i > $i]: 552.09/72.50 (Y7)) @ 552.09/72.50 Y6 @ 552.09/72.50 ( 552.09/72.50 Y5 @ 552.09/72.50 ( 552.09/72.50 ^[Y7 : 552.09/72.50 ( 552.09/72.50 $i > $i) > 552.09/72.50 $i > $i, 552.09/72.50 Y8 : $i > $i, 552.09/72.50 Y9 : $i]: 552.09/72.50 (c_Inj1 @ 552.09/72.50 c_Empty)) @ 552.09/72.50 ( 552.09/72.50 ^[Y7 : $i, 552.09/72.50 Y8 : $i]: 552.09/72.50 (c_Empty)))) => 552.09/72.50 (Y1 @ 552.09/72.50 ( 552.09/72.50 ^[Y7 : $i]: 552.09/72.50 (Y7)) @ 552.09/72.50 ( 552.09/72.50 ^[Y7 : ( 552.09/72.50 ( 552.09/72.50 $i > $i) > $i) > $i, 552.09/72.50 Y8 : 552.09/72.50 $i > $i > $i, 552.09/72.50 Y9 : $i, 552.09/72.50 Y10 : $i]: 552.09/72.50 (Y9)) @ 552.09/72.50 ( 552.09/72.50 c_setsum @ 552.09/72.50 ( 552.09/72.50 c_Inj0 @ 552.09/72.50 c_Empty) @ 552.09/72.50 ( 552.09/72.50 Y5 @ 552.09/72.50 ( 552.09/72.50 ^[Y7 : 552.09/72.50 ( 552.09/72.50 $i > $i) > 552.09/72.50 $i > $i, 552.09/72.50 Y8 : $i > $i, 552.09/72.50 Y9 : $i]: 552.09/72.50 (c_Inj0 @ 552.09/72.50 c_Empty)) @ 552.09/72.50 ( 552.09/72.50 ^[Y7 : $i, 552.09/72.50 Y8 : $i]: 552.09/72.50 (Y8))))))))))))))))))))) => 552.09/72.50 (((((!!) @ (^[Y3 : 552.09/72.50 $i > $i > $i]: 552.09/72.50 (((!!) @ ( 552.09/72.50 ^[Y4 : $i > $i]: 552.09/72.50 ( 552.09/72.50 ( 552.09/72.50 (!!) @ ( 552.09/72.50 ^[Y5 : $i]: 552.09/72.50 (( 552.09/72.50 (!!) @ ( 552.09/72.50 ^[Y6 : $i > $i]: 552.09/72.50 (( 552.09/72.50 (c_In @ 552.09/72.50 ( 552.09/72.50 c_Inj0 @ 552.09/72.50 ( 552.09/72.50 c_Inj1 @ 552.09/72.50 c_Empty)) @ 552.09/72.50 ( 552.09/72.50 c_setsum @ 552.09/72.50 ( 552.09/72.50 c_setsum @ 552.09/72.50 ( 552.09/72.50 c_Inj0 @ 552.09/72.50 c_Empty) @ 552.09/72.50 ( 552.09/72.50 c_setsum @ 552.09/72.50 ( 552.09/72.50 c_setsum @ 552.09/72.50 c_Empty @ 552.09/72.50 c_Empty) @ 552.09/72.50 ( 552.09/72.50 c_setsum @ 552.09/72.50 c_Empty @ 552.09/72.50 c_Empty))) @ 552.09/72.50 ( 552.09/72.50 c_setsum @ 552.09/72.50 c_Empty @ 552.09/72.50 ( 552.09/72.50 c_setsum @ 552.09/72.50 ( 552.09/72.50 c_Inj0 @ 552.09/72.50 c_Empty) @ 552.09/72.50 ( 552.09/72.50 Y3 @ 552.09/72.50 c_Empty @ 552.09/72.50 c_Empty))))) => 552.09/72.50 (( 552.09/72.50 (Y1 @ 552.09/72.50 ( 552.09/72.50 ^[Y7 : $i]: 552.09/72.50 (c_Empty)) @ 552.09/72.50 ( 552.09/72.50 ^[Y7 : ( 552.09/72.50 ( 552.09/72.50 $i > $i) > $i) > $i, 552.09/72.50 Y8 : 552.09/72.50 $i > $i > $i, 552.09/72.50 Y9 : $i, 552.09/72.50 Y10 : $i]: 552.09/72.50 (c_Empty)) @ 552.09/72.50 ( 552.09/72.50 c_setsum @ 552.09/72.50 ( 552.09/72.50 c_setsum @ 552.09/72.50 c_Empty @ 552.09/72.50 ( 552.09/72.50 c_setsum @ 552.09/72.50 ( 552.09/72.50 c_setsum @ 552.09/72.50 c_Empty @ 552.09/72.50 c_Empty) @ 552.09/72.50 ( 552.09/72.50 c_Inj0 @ 552.09/72.50 c_Empty))) @ 552.09/72.50 ( 552.09/72.50 c_Inj1 @ 552.09/72.50 Y5))) => 552.09/72.50 (Y0 @ 552.09/72.50 ( 552.09/72.50 ^[Y7 : $i, 552.09/72.50 Y8 : ( 552.09/72.50 $i > $i) > $i]: 552.09/72.50 (c_Inj0 @ 552.09/72.50 c_Empty)) @ 552.09/72.50 ( 552.09/72.50 Y3 @ 552.09/72.50 c_Empty @ 552.09/72.50 ( 552.09/72.50 Y4 @ 552.09/72.50 ( 552.09/72.50 c_setsum @ 552.09/72.50 ( 552.09/72.50 c_Inj1 @ 552.09/72.50 c_Empty) @ 552.09/72.50 c_Empty)))))))))))))))))))) => 552.09/72.50 (((((!!) @ (^[Y3 : $i]: 552.09/72.50 (((!!) @ ( 552.09/72.50 ^[Y4 : $i > $i]: 552.09/72.50 (( 552.09/72.50 (!!) @ ( 552.09/72.50 ^[Y5 : $i > $i]: 552.09/72.50 (( 552.09/72.50 (!!) @ ( 552.09/72.50 ^[Y6 : $i]: 552.09/72.50 (( 552.09/72.50 (Y2 @ 552.09/72.50 ( 552.09/72.50 ^[Y7 : $i, 552.09/72.50 Y8 : 552.09/72.50 $i > $i > $i]: 552.09/72.50 (c_Empty)) @ 552.09/72.50 c_Empty @ 552.09/72.50 c_Empty) => 552.09/72.50 (Y0 @ 552.09/72.50 ( 552.09/72.50 ^[Y7 : $i, 552.09/72.50 Y8 : ( 552.09/72.50 $i > $i) > $i]: 552.09/72.50 (Y8 @ 552.09/72.50 (^[Y9 : $i]: 552.09/72.50 (c_setsum @ 552.09/72.50 (c_Inj1 @ 552.09/72.50 (c_Inj0 @ 552.09/72.50 c_Empty)) @ 552.09/72.50 (c_setsum @ 552.09/72.50 c_Empty @ 552.09/72.50 c_Empty))))) @ 552.09/72.50 c_Empty))))))))))))))) => 552.09/72.50 (((((!!) @ (^[Y3 : $i]: 552.09/72.50 ( 552.09/72.50 ( 552.09/72.50 (!!) @ ( 552.09/72.50 ^[Y4 : $i]: 552.09/72.50 (( 552.09/72.50 (!!) @ ( 552.09/72.50 ^[Y5 : $i]: 552.09/72.50 (( 552.09/72.50 (!!) @ ( 552.09/72.50 ^[Y6 : $i]: 552.09/72.50 (( 552.09/72.50 (c_In @ 552.09/72.50 ( 552.09/72.50 c_Inj0 @ 552.09/72.50 Y5) @ 552.09/72.50 ( 552.09/72.50 c_setsum @ 552.09/72.50 ( 552.09/72.50 c_setsum @ 552.09/72.50 Y3 @ 552.09/72.50 ( 552.09/72.50 c_setsum @ 552.09/72.50 Y4 @ 552.09/72.50 ( 552.09/72.50 c_setsum @ 552.09/72.50 c_Empty @ 552.09/72.50 c_Empty))) @ 552.09/72.50 ( 552.09/72.50 c_Inj1 @ 552.09/72.50 ( 552.09/72.50 c_setsum @ 552.09/72.50 Y4 @ 552.09/72.50 c_Empty)))) => 552.09/72.50 (( 552.09/72.50 (Y0 @ 552.09/72.50 ( 552.09/72.50 ^[Y7 : $i, 552.09/72.50 Y8 : ( 552.09/72.50 $i > $i) > $i]: 552.09/72.50 (Y6)) @ 552.09/72.50 c_Empty) => 552.09/72.50 (Y1 @ 552.09/72.50 ( 552.09/72.50 ^[Y7 : $i]: 552.09/72.50 (c_Empty)) @ 552.09/72.50 ( 552.09/72.50 ^[Y7 : ( 552.09/72.50 ( 552.09/72.50 $i > $i) > $i) > $i, 552.09/72.50 Y8 : 552.09/72.50 $i > $i > $i, 552.09/72.50 Y9 : $i, 552.09/72.50 Y10 : $i]: 552.09/72.50 (c_setsum @ 552.09/72.50 c_Empty @ 552.09/72.50 c_Empty)) @ 552.09/72.50 Y4))))))))))))))))) => 552.09/72.50 (((((!!) @ (^[Y3 : ( 552.09/72.50 ( 552.09/72.50 ( 552.09/72.50 $i > $i) > 552.09/72.50 $i > $i) > $i) > $i]: 552.09/72.50 (( 552.09/72.50 (!!) @ ( 552.09/72.50 ^[Y4 : $i]: 552.09/72.50 (( 552.09/72.50 (!!) @ ( 552.09/72.50 ^[Y5 : $i]: 552.09/72.50 (( 552.09/72.50 (!!) @ ( 552.09/72.50 ^[Y6 : $i]: 552.09/72.50 (( 552.09/72.50 (c_In @ 552.09/72.50 ( 552.09/72.50 c_Inj1 @ 552.09/72.50 c_Empty) @ 552.09/72.50 Y4) => 552.09/72.50 (( 552.09/72.50 (Y0 @ 552.09/72.50 ( 552.09/72.50 ^[Y7 : $i, 552.09/72.50 Y8 : ( 552.09/72.50 $i > $i) > $i]: 552.09/72.50 (c_Empty)) @ 552.09/72.50 c_Empty) => 552.09/72.50 (X2 @ 552.09/72.50 ( 552.09/72.50 ^[Y7 : $i, 552.09/72.50 Y8 : $i, 552.09/72.50 Y9 : 552.09/72.50 ( 552.09/72.50 $i > $i) > 552.09/72.50 $i > $i]: 552.09/72.50 (c_Inj1 @ 552.09/72.50 c_Empty)) @ 552.09/72.50 ( 552.09/72.50 c_Inj1 @ 552.09/72.50 ( 552.09/72.50 c_Inj1 @ 552.09/72.50 ( 552.09/72.50 Y3 @ 552.09/72.50 ( 552.09/72.50 ^[Y7 : 552.09/72.50 ( 552.09/72.50 $i > $i) > 552.09/72.50 $i > $i]: 552.09/72.50 (c_Empty))))) @ 552.09/72.50 ( 552.09/72.50 c_Inj1 @ 552.09/72.50 ( 552.09/72.50 c_setsum @ 552.09/72.50 ( 552.09/72.50 c_setsum @ 552.09/72.50 ( 552.09/72.50 c_Inj0 @ 552.09/72.50 c_Empty) @ 552.09/72.50 c_Empty) @ 552.09/72.50 ( 552.09/72.50 c_Inj1 @ 552.09/72.50 ( 552.09/72.50 c_Inj0 @ 552.09/72.50 c_Empty))))))))))))))))))))) => 552.09/72.50 (((((!!) @ ( 552.09/72.50 ^[Y3 : $i > $i]: 552.09/72.50 (((!!) @ ( 552.09/72.50 ^[Y4 : $i]: 552.09/72.50 ( 552.09/72.50 ( 552.09/72.50 (!!) @ ( 552.09/72.50 ^[Y5 : $i > $i]: 552.09/72.50 (( 552.09/72.50 (!!) @ ( 552.09/72.50 ^[Y6 : $i]: 552.09/72.50 (( 552.09/72.50 (X2 @ 552.09/72.50 ( 552.09/72.50 ^[Y7 : $i, 552.09/72.50 Y8 : $i, 552.09/72.50 Y9 : 552.09/72.50 ( 552.09/72.50 $i > $i) > 552.09/72.50 $i > $i]: 552.09/72.50 (c_Empty)) @ 552.09/72.50 ( 552.09/72.50 Y3 @ 552.09/72.50 c_Empty) @ 552.09/72.50 Y6) => 552.09/72.50 (c_False))))))))))))))) => 552.09/72.50 (c_False))))))))))))))))))))))))))), 552.09/72.50 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl124])). 552.09/72.50 thf(zip_derived_cl165, plain, 552.09/72.50 ( (((!!) @ (^[Y0 : ($i > (($i > $i) > $i) > $i) > $i > $o]: 552.09/72.50 (((!!) @ (^[Y1 : ($i > $i) > 552.09/72.50 (((($i > $i) > $i) > $i) > 552.09/72.50 ($i > $i > $i) > $i > $i > $i) > 552.09/72.50 $i > $o]: 552.09/72.50 (((!!) @ (^[Y2 : ($i > ($i > $i > $i) > $i) > 552.09/72.50 $i > $i > $o]: 552.09/72.50 (((((!!) @ (^[Y3 : (($i > $i > $i) > 552.09/72.50 ($i > $i) > $i > $i) > $i]: 552.09/72.50 (((!!) @ (^[Y4 : $i]: 552.09/72.50 ( 552.09/72.50 ( 552.09/72.50 (!!) @ ( 552.09/72.50 ^[Y5 : $i]: 552.09/72.50 (( 552.09/72.50 (!!) @ ( 552.09/72.50 ^[Y6 : $i]: 552.09/72.50 (( 552.09/72.50 (c_In @ 552.09/72.50 ( 552.09/72.50 c_Inj0 @ 552.09/72.50 Y5) @ 552.09/72.50 ( 552.09/72.50 c_setsum @ 552.09/72.50 ( 552.09/72.50 c_setsum @ 552.09/72.50 c_Empty @ 552.09/72.50 c_Empty) @ 552.09/72.50 ( 552.09/72.50 c_setsum @ 552.09/72.50 Y5 @ 552.09/72.50 ( 552.09/72.50 c_Inj0 @ 552.09/72.50 ( 552.09/72.50 c_setsum @ 552.09/72.50 c_Empty @ 552.09/72.50 c_Empty))))) => 552.09/72.50 (( 552.09/72.50 (Y1 @ 552.09/72.50 ( 552.09/72.50 ^[Y7 : $i]: 552.09/72.50 (c_Inj0 @ 552.09/72.50 (c_Inj0 @ 552.09/72.50 c_Empty))) @ 552.09/72.50 ( 552.09/72.50 ^[Y7 : ( 552.09/72.50 ( 552.09/72.50 $i > $i) > $i) > $i, 552.09/72.50 Y8 : 552.09/72.50 $i > $i > $i, 552.09/72.50 Y9 : $i, 552.09/72.50 Y10 : $i]: 552.09/72.50 (Y9)) @ 552.09/72.50 ( 552.09/72.50 c_setsum @ 552.09/72.50 ( 552.09/72.50 Y3 @ 552.09/72.50 ( 552.09/72.50 ^[Y7 : 552.09/72.50 $i > $i > $i, 552.09/72.50 Y8 : $i > $i, 552.09/72.50 Y9 : $i]: 552.09/72.50 (c_Inj0 @ 552.09/72.50 (c_setsum @ 552.09/72.50 c_Empty @ 552.09/72.50 c_Empty)))) @ 552.09/72.50 c_Empty)) => 552.09/72.50 (Y2 @ 552.09/72.50 ( 552.09/72.50 ^[Y7 : $i, 552.09/72.50 Y8 : 552.09/72.50 $i > $i > $i]: 552.09/72.50 (c_Inj0 @ 552.09/72.50 Y7)) @ 552.09/72.50 Y4 @ 552.09/72.50 ( 552.09/72.50 c_setsum @ 552.09/72.50 ( 552.09/72.50 c_setsum @ 552.09/72.50 ( 552.09/72.50 c_setsum @ 552.09/72.50 c_Empty @ 552.09/72.50 ( 552.09/72.50 c_setsum @ 552.09/72.50 c_Empty @ 552.09/72.50 c_Empty)) @ 552.09/72.50 ( 552.09/72.50 c_Inj0 @ 552.09/72.50 c_Empty)) @ 552.09/72.50 c_Empty)))))))))))))))))) => 552.09/72.50 (((((!!) @ (^[Y3 : ((($i > $i) > 552.09/72.50 $i > $i) > $i) > $i]: 552.09/72.50 (((!!) @ (^[Y4 : $i > $i]: 552.09/72.50 (( 552.09/72.50 (!!) @ ( 552.09/72.50 ^[Y5 : $i]: 552.09/72.50 (( 552.09/72.50 (!!) @ ( 552.09/72.50 ^[Y6 : $i]: 552.09/72.50 (( 552.09/72.50 (Y2 @ 552.09/72.50 ( 552.09/72.50 ^[Y7 : $i, 552.09/72.50 Y8 : 552.09/72.50 $i > $i > $i]: 552.09/72.50 (c_Empty)) @ 552.09/72.50 Y6 @ 552.09/72.50 ( 552.09/72.50 c_setsum @ 552.09/72.50 ( 552.09/72.50 c_setsum @ 552.09/72.50 ( 552.09/72.50 c_setsum @ 552.09/72.50 ( 552.09/72.50 c_setsum @ 552.09/72.50 c_Empty @ 552.09/72.50 c_Empty) @ 552.09/72.50 c_Empty) @ 552.09/72.50 ( 552.09/72.50 c_setsum @ 552.09/72.50 ( 552.09/72.50 c_setsum @ 552.09/72.50 c_Empty @ 552.09/72.50 c_Empty) @ 552.09/72.50 ( 552.09/72.50 c_Inj0 @ 552.09/72.50 c_Empty))) @ 552.09/72.50 ( 552.09/72.50 c_setsum @ 552.09/72.50 c_Empty @ 552.09/72.50 ( 552.09/72.50 c_Inj1 @ 552.09/72.50 ( 552.09/72.50 c_setsum @ 552.09/72.50 c_Empty @ 552.09/72.50 c_Empty))))) => 552.09/72.50 (Y2 @ 552.09/72.50 ( 552.09/72.50 ^[Y7 : $i, 552.09/72.50 Y8 : 552.09/72.50 $i > $i > $i]: 552.09/72.50 (Y6)) @ 552.09/72.50 ( 552.09/72.50 c_setsum @ 552.09/72.50 ( 552.09/72.50 Y3 @ 552.09/72.50 ( 552.09/72.50 ^[Y7 : 552.09/72.50 ( 552.09/72.50 $i > $i) > 552.09/72.50 $i > $i]: 552.09/72.50 (Y6))) @ 552.09/72.50 Y5) @ 552.09/72.50 ( 552.09/72.50 c_Inj0 @ 552.09/72.50 ( 552.09/72.50 c_Inj1 @ 552.09/72.50 ( 552.09/72.50 c_setsum @ 552.09/72.50 ( 552.09/72.50 c_setsum @ 552.09/72.50 c_Empty @ 552.09/72.50 c_Empty) @ 552.09/72.50 ( 552.09/72.50 c_setsum @ 552.09/72.50 c_Empty @ 552.09/72.50 c_Empty))))))))))))))))))) => 552.09/72.50 (((((!!) @ (^[Y3 : $i]: 552.09/72.50 (((!!) @ ( 552.09/72.50 ^[Y4 : 552.09/72.50 $i > 552.09/72.50 (($i > $i) > 552.09/72.50 $i > $i) > $i]: 552.09/72.50 (((!!) @ ( 552.09/72.50 ^[Y5 : 552.09/72.50 ( 552.09/72.50 ( 552.09/72.50 ( 552.09/72.50 $i > $i) > 552.09/72.50 $i > $i) > 552.09/72.50 ( 552.09/72.50 $i > $i) > 552.09/72.50 $i > $i) > 552.09/72.50 ( 552.09/72.50 $i > $i > $i) > $i]: 552.09/72.50 ( 552.09/72.50 ( 552.09/72.50 (!!) @ ( 552.09/72.50 ^[Y6 : $i]: 552.09/72.50 (( 552.09/72.50 (c_In @ 552.09/72.50 ( 552.09/72.50 c_Inj0 @ 552.09/72.50 c_Empty) @ 552.09/72.50 ( 552.09/72.50 c_setsum @ 552.09/72.50 c_Empty @ 552.09/72.50 ( 552.09/72.50 Y4 @ 552.09/72.50 ( 552.09/72.50 c_Inj0 @ 552.09/72.50 ( 552.09/72.50 c_setsum @ 552.09/72.50 c_Empty @ 552.09/72.50 c_Empty)) @ 552.09/72.50 ( 552.09/72.50 ^[Y7 : $i > $i, 552.09/72.50 Y8 : $i]: 552.09/72.50 (c_Inj0 @ 552.09/72.50 c_Empty))))) => 552.09/72.50 (( 552.09/72.50 ($false) => 552.09/72.50 (Y1 @ 552.09/72.50 ( 552.09/72.50 ^[Y7 : $i]: 552.09/72.50 (Y7)) @ 552.09/72.50 ( 552.09/72.50 ^[Y7 : ( 552.09/72.50 ( 552.09/72.50 $i > $i) > $i) > $i, 552.09/72.50 Y8 : 552.09/72.50 $i > $i > $i, 552.09/72.50 Y9 : $i, 552.09/72.50 Y10 : $i]: 552.09/72.50 (Y9)) @ 552.09/72.50 ( 552.09/72.50 c_setsum @ 552.09/72.50 ( 552.09/72.50 c_Inj0 @ 552.09/72.50 c_Empty) @ 552.09/72.50 ( 552.09/72.50 Y5 @ 552.09/72.50 ( 552.09/72.50 ^[Y7 : 552.09/72.50 ( 552.09/72.50 $i > $i) > 552.09/72.50 $i > $i, 552.09/72.50 Y8 : $i > $i, 552.09/72.50 Y9 : $i]: 552.09/72.50 (c_Inj0 @ 552.09/72.50 c_Empty)) @ 552.09/72.50 ( 552.09/72.50 ^[Y7 : $i, 552.09/72.50 Y8 : $i]: 552.09/72.50 (Y8))))))))))))))))))))) => 552.09/72.50 (((((!!) @ (^[Y3 : $i > $i > $i]: 552.09/72.50 (((!!) @ ( 552.09/72.50 ^[Y4 : $i > $i]: 552.09/72.50 (((!!) @ ( 552.09/72.50 ^[Y5 : $i]: 552.09/72.50 (( 552.09/72.50 (!!) @ ( 552.09/72.50 ^[Y6 : $i > $i]: 552.09/72.50 (( 552.09/72.50 (c_In @ 552.09/72.50 ( 552.09/72.50 c_Inj0 @ 552.09/72.50 ( 552.09/72.50 c_Inj1 @ 552.09/72.50 c_Empty)) @ 552.09/72.50 ( 552.09/72.50 c_setsum @ 552.09/72.50 ( 552.09/72.50 c_setsum @ 552.09/72.50 ( 552.09/72.50 c_Inj0 @ 552.09/72.50 c_Empty) @ 552.09/72.50 ( 552.09/72.50 c_setsum @ 552.09/72.50 ( 552.09/72.50 c_setsum @ 552.09/72.50 c_Empty @ 552.09/72.50 c_Empty) @ 552.09/72.50 ( 552.09/72.50 c_setsum @ 552.09/72.50 c_Empty @ 552.09/72.50 c_Empty))) @ 552.09/72.50 ( 552.09/72.50 c_setsum @ 552.09/72.50 c_Empty @ 552.09/72.50 ( 552.09/72.50 c_setsum @ 552.09/72.50 ( 552.09/72.50 c_Inj0 @ 552.09/72.50 c_Empty) @ 552.09/72.50 ( 552.09/72.50 Y3 @ 552.09/72.50 c_Empty @ 552.09/72.50 c_Empty))))) => 552.09/72.50 (( 552.09/72.50 (Y1 @ 552.09/72.50 ( 552.09/72.50 ^[Y7 : $i]: 552.09/72.50 (c_Empty)) @ 552.09/72.50 ( 552.09/72.50 ^[Y7 : ( 552.09/72.50 ( 552.09/72.50 $i > $i) > $i) > $i, 552.09/72.50 Y8 : 552.09/72.50 $i > $i > $i, 552.09/72.50 Y9 : $i, 552.09/72.50 Y10 : $i]: 552.09/72.50 (c_Empty)) @ 552.09/72.50 ( 552.09/72.50 c_setsum @ 552.09/72.50 ( 552.09/72.50 c_setsum @ 552.09/72.50 c_Empty @ 552.09/72.50 ( 552.09/72.50 c_setsum @ 552.09/72.50 ( 552.09/72.50 c_setsum @ 552.09/72.50 c_Empty @ 552.09/72.50 c_Empty) @ 552.09/72.50 ( 552.09/72.50 c_Inj0 @ 552.09/72.50 c_Empty))) @ 552.09/72.50 ( 552.09/72.50 c_Inj1 @ 552.09/72.50 Y5))) => 552.09/72.50 (Y0 @ 552.09/72.50 ( 552.09/72.50 ^[Y7 : $i, 552.09/72.50 Y8 : ( 552.09/72.50 $i > $i) > $i]: 552.09/72.50 (c_Inj0 @ 552.09/72.50 c_Empty)) @ 552.09/72.50 ( 552.09/72.50 Y3 @ 552.09/72.50 c_Empty @ 552.09/72.50 ( 552.09/72.50 Y4 @ 552.09/72.50 ( 552.09/72.50 c_setsum @ 552.09/72.50 ( 552.09/72.50 c_Inj1 @ 552.09/72.50 c_Empty) @ 552.09/72.50 c_Empty)))))))))))))))))))) => 552.09/72.50 (((((!!) @ (^[Y3 : $i]: 552.09/72.50 (((!!) @ ( 552.09/72.50 ^[Y4 : $i > $i]: 552.09/72.50 ( 552.09/72.50 ( 552.09/72.50 (!!) @ ( 552.09/72.50 ^[Y5 : $i > $i]: 552.09/72.50 (( 552.09/72.50 (!!) @ ( 552.09/72.50 ^[Y6 : $i]: 552.09/72.50 (( 552.09/72.50 (Y2 @ 552.09/72.50 ( 552.09/72.50 ^[Y7 : $i, 552.09/72.50 Y8 : 552.09/72.50 $i > $i > $i]: 552.09/72.50 (c_Empty)) @ 552.09/72.50 c_Empty @ 552.09/72.50 c_Empty) => 552.09/72.50 (Y0 @ 552.09/72.50 ( 552.09/72.50 ^[Y7 : $i, 552.09/72.50 Y8 : ( 552.09/72.50 $i > $i) > $i]: 552.09/72.50 (Y8 @ 552.09/72.50 (^[Y9 : $i]: 552.09/72.50 (c_setsum @ 552.09/72.50 (c_Inj1 @ 552.09/72.50 (c_Inj0 @ 552.09/72.50 c_Empty)) @ 552.09/72.50 (c_setsum @ 552.09/72.50 c_Empty @ 552.09/72.50 c_Empty))))) @ 552.09/72.50 c_Empty))))))))))))))) => 552.09/72.50 (((((!!) @ (^[Y3 : $i]: 552.09/72.50 (((!!) @ ( 552.09/72.50 ^[Y4 : $i]: 552.09/72.50 (( 552.09/72.50 (!!) @ ( 552.09/72.50 ^[Y5 : $i]: 552.09/72.50 (( 552.09/72.50 (!!) @ ( 552.09/72.50 ^[Y6 : $i]: 552.09/72.50 (( 552.09/72.50 (c_In @ 552.09/72.50 ( 552.09/72.50 c_Inj0 @ 552.09/72.50 Y5) @ 552.09/72.50 ( 552.09/72.50 c_setsum @ 552.09/72.50 ( 552.09/72.50 c_setsum @ 552.09/72.50 Y3 @ 552.09/72.50 ( 552.09/72.50 c_setsum @ 552.09/72.50 Y4 @ 552.09/72.50 ( 552.09/72.50 c_setsum @ 552.09/72.50 c_Empty @ 552.09/72.50 c_Empty))) @ 552.09/72.50 ( 552.09/72.50 c_Inj1 @ 552.09/72.50 ( 552.09/72.50 c_setsum @ 552.09/72.50 Y4 @ 552.09/72.50 c_Empty)))) => 552.09/72.50 (( 552.09/72.50 (Y0 @ 552.09/72.50 ( 552.09/72.50 ^[Y7 : $i, 552.09/72.50 Y8 : ( 552.09/72.50 $i > $i) > $i]: 552.09/72.50 (Y6)) @ 552.09/72.50 c_Empty) => 552.09/72.50 (Y1 @ 552.09/72.50 ( 552.09/72.50 ^[Y7 : $i]: 552.09/72.50 (c_Empty)) @ 552.09/72.50 ( 552.09/72.50 ^[Y7 : ( 552.09/72.50 ( 552.09/72.50 $i > $i) > $i) > $i, 552.09/72.50 Y8 : 552.09/72.50 $i > $i > $i, 552.09/72.50 Y9 : $i, 552.09/72.50 Y10 : $i]: 552.09/72.50 (c_setsum @ 552.09/72.50 c_Empty @ 552.09/72.50 c_Empty)) @ 552.09/72.50 Y4))))))))))))))))) => 552.09/72.50 (((((!!) @ (^[Y3 : ( 552.09/72.50 ( 552.09/72.50 ( 552.09/72.50 $i > $i) > 552.09/72.50 $i > $i) > $i) > $i]: 552.09/72.50 ( 552.09/72.50 ( 552.09/72.50 (!!) @ ( 552.09/72.50 ^[Y4 : $i]: 552.09/72.50 (( 552.09/72.50 (!!) @ ( 552.09/72.50 ^[Y5 : $i]: 552.09/72.50 (( 552.09/72.50 (!!) @ ( 552.09/72.50 ^[Y6 : $i]: 552.09/72.50 (( 552.09/72.50 (c_In @ 552.09/72.50 ( 552.09/72.50 c_Inj1 @ 552.09/72.50 c_Empty) @ 552.09/72.50 Y4) => 552.09/72.50 (( 552.09/72.50 (Y0 @ 552.09/72.50 ( 552.09/72.50 ^[Y7 : $i, 552.09/72.50 Y8 : ( 552.09/72.50 $i > $i) > $i]: 552.09/72.50 (c_Empty)) @ 552.09/72.50 c_Empty) => 552.09/72.50 ($false))))))))))))))))) => 552.09/72.50 (((((!!) @ (^[Y3 : $i > $i]: 552.09/72.50 (( 552.09/72.50 (!!) @ ( 552.09/72.50 ^[Y4 : $i]: 552.09/72.50 (( 552.09/72.50 (!!) @ ( 552.09/72.50 ^[Y5 : $i > $i]: 552.09/72.50 (( 552.09/72.50 (!!) @ ( 552.09/72.50 ^[Y6 : $i]: 552.09/72.50 (( 552.09/72.50 ($false) => 552.09/72.50 (c_False))))))))))))))) => 552.09/72.50 (c_False))))))))))))))))))))))))))), 552.09/72.50 inference('ho.refine.early.bird', [status(thm)], [zip_derived_cl163])). 552.09/72.50 thf(zip_derived_cl531, plain, 552.09/72.50 ( (((!!) @ (^[Y0 : ($i > (($i > $i) > $i) > $i) > $i > $o]: 552.09/72.50 (((!!) @ (^[Y1 : ($i > $i) > 552.09/72.50 (((($i > $i) > $i) > $i) > 552.09/72.50 ($i > $i > $i) > $i > $i > $i) > 552.09/72.50 $i > $o]: 552.09/72.50 (((!!) @ (^[Y2 : ($i > ($i > $i > $i) > $i) > 552.09/72.50 $i > $i > $o]: 552.09/72.50 (((((!!) @ (^[Y3 : (($i > $i > $i) > 552.09/72.50 ($i > $i) > $i > $i) > $i]: 552.09/72.50 (((!!) @ (^[Y4 : $i]: 552.09/72.50 ( 552.09/72.50 ( 552.09/72.50 (!!) @ ( 552.09/72.50 ^[Y5 : $i]: 552.09/72.50 (( 552.09/72.50 (!!) @ ( 552.09/72.50 ^[Y6 : $i]: 552.09/72.50 (( 552.09/72.50 (c_In @ 552.09/72.50 ( 552.09/72.50 c_Inj0 @ 552.09/72.50 Y5) @ 552.09/72.50 ( 552.09/72.50 c_setsum @ 552.09/72.50 ( 552.09/72.50 c_setsum @ 552.09/72.50 c_Empty @ 552.09/72.50 c_Empty) @ 552.09/72.50 ( 552.09/72.50 c_setsum @ 552.09/72.50 Y5 @ 552.09/72.50 ( 552.09/72.50 c_Inj0 @ 552.09/72.50 ( 552.09/72.50 c_setsum @ 552.09/72.50 c_Empty @ 552.09/72.50 c_Empty))))) => 552.09/72.50 (( 552.09/72.50 (Y1 @ 552.09/72.50 ( 552.09/72.50 ^[Y7 : $i]: 552.09/72.50 (c_Inj0 @ 552.09/72.50 (c_Inj0 @ 552.09/72.50 c_Empty))) @ 552.09/72.50 ( 552.09/72.50 ^[Y7 : ( 552.09/72.50 ( 552.09/72.50 $i > $i) > $i) > $i, 552.09/72.50 Y8 : 552.09/72.50 $i > $i > $i, 552.09/72.50 Y9 : $i, 552.09/72.50 Y10 : $i]: 552.09/72.50 (Y9)) @ 552.09/72.50 ( 552.09/72.50 c_setsum @ 552.09/72.50 ( 552.09/72.50 Y3 @ 552.09/72.50 ( 552.09/72.50 ^[Y7 : 552.09/72.50 $i > $i > $i, 552.09/72.50 Y8 : $i > $i, 552.09/72.50 Y9 : $i]: 552.09/72.50 (c_Inj0 @ 552.09/72.50 (c_setsum @ 552.09/72.50 c_Empty @ 552.09/72.50 c_Empty)))) @ 552.09/72.50 c_Empty)) => 552.09/72.50 (Y2 @ 552.09/72.50 ( 552.09/72.50 ^[Y7 : $i, 552.09/72.50 Y8 : 552.09/72.50 $i > $i > $i]: 552.09/72.50 (c_Inj0 @ 552.09/72.50 Y7)) @ 552.09/72.50 Y4 @ 552.09/72.50 ( 552.09/72.50 c_setsum @ 552.09/72.50 ( 552.09/72.50 c_setsum @ 552.09/72.50 ( 552.09/72.50 c_setsum @ 552.09/72.50 c_Empty @ 552.09/72.50 ( 552.09/72.50 c_setsum @ 552.09/72.50 c_Empty @ 552.09/72.50 c_Empty)) @ 552.09/72.50 ( 552.09/72.50 c_Inj0 @ 552.09/72.50 c_Empty)) @ 552.09/72.50 c_Empty)))))))))))))))))) => 552.09/72.50 (((((!!) @ (^[Y3 : ((($i > $i) > 552.09/72.50 $i > $i) > $i) > $i]: 552.09/72.50 (((!!) @ (^[Y4 : $i > $i]: 552.09/72.50 (( 552.09/72.50 (!!) @ ( 552.09/72.50 ^[Y5 : $i]: 552.09/72.50 (( 552.09/72.50 (!!) @ ( 552.09/72.50 ^[Y6 : $i]: 552.09/72.50 (( 552.09/72.50 (Y2 @ 552.09/72.50 ( 552.09/72.50 ^[Y7 : $i, 552.09/72.50 Y8 : 552.09/72.50 $i > $i > $i]: 552.09/72.50 (c_Empty)) @ 552.09/72.50 Y6 @ 552.09/72.50 ( 552.09/72.50 c_setsum @ 552.09/72.50 ( 552.09/72.50 c_setsum @ 552.09/72.50 ( 552.09/72.50 c_setsum @ 552.09/72.50 ( 552.09/72.50 c_setsum @ 552.09/72.50 c_Empty @ 552.09/72.50 c_Empty) @ 552.09/72.50 c_Empty) @ 552.09/72.50 ( 552.09/72.50 c_setsum @ 552.09/72.50 ( 552.09/72.50 c_setsum @ 552.09/72.50 c_Empty @ 552.09/72.50 c_Empty) @ 552.09/72.50 ( 552.09/72.50 c_Inj0 @ 552.09/72.50 c_Empty))) @ 552.09/72.50 ( 552.09/72.50 c_setsum @ 552.09/72.50 c_Empty @ 552.09/72.50 ( 552.09/72.50 c_Inj1 @ 552.09/72.50 ( 552.09/72.50 c_setsum @ 552.09/72.50 c_Empty @ 552.09/72.50 c_Empty))))) => 552.09/72.50 (Y2 @ 552.09/72.50 ( 552.09/72.50 ^[Y7 : $i, 552.09/72.50 Y8 : 552.09/72.50 $i > $i > $i]: 552.09/72.50 (Y6)) @ 552.09/72.50 ( 552.09/72.50 c_setsum @ 552.09/72.50 ( 552.09/72.50 Y3 @ 552.09/72.50 ( 552.09/72.50 ^[Y7 : 552.09/72.50 ( 552.09/72.50 $i > $i) > 552.09/72.50 $i > $i]: 552.09/72.50 (Y6))) @ 552.09/72.50 Y5) @ 552.09/72.50 ( 552.09/72.50 c_Inj0 @ 552.09/72.50 ( 552.09/72.50 c_Inj1 @ 552.09/72.50 ( 552.09/72.50 c_setsum @ 552.09/72.50 ( 552.09/72.50 c_setsum @ 552.09/72.50 c_Empty @ 552.09/72.50 c_Empty) @ 552.09/72.50 ( 552.09/72.50 c_setsum @ 552.09/72.50 c_Empty @ 552.09/72.50 c_Empty))))))))))))))))))) => 552.09/72.50 (((((!!) @ (^[Y3 : $i > $i > $i]: 552.09/72.50 (((!!) @ ( 552.09/72.50 ^[Y4 : $i > $i]: 552.09/72.50 (((!!) @ ( 552.09/72.50 ^[Y5 : $i]: 552.09/72.50 ( 552.09/72.50 ( 552.09/72.50 (!!) @ ( 552.09/72.50 ^[Y6 : $i > $i]: 552.09/72.50 (( 552.09/72.50 (c_In @ 552.09/72.50 ( 552.09/72.50 c_Inj0 @ 552.09/72.50 ( 552.09/72.50 c_Inj1 @ 552.09/72.50 c_Empty)) @ 552.09/72.50 ( 552.09/72.50 c_setsum @ 552.09/72.50 ( 552.09/72.50 c_setsum @ 552.09/72.50 ( 552.09/72.50 c_Inj0 @ 552.09/72.50 c_Empty) @ 552.09/72.50 ( 552.09/72.50 c_setsum @ 552.09/72.50 ( 552.09/72.50 c_setsum @ 552.09/72.50 c_Empty @ 552.09/72.50 c_Empty) @ 552.09/72.50 ( 552.09/72.50 c_setsum @ 552.09/72.50 c_Empty @ 552.09/72.50 c_Empty))) @ 552.09/72.50 ( 552.09/72.50 c_setsum @ 552.09/72.50 c_Empty @ 552.09/72.50 ( 552.09/72.50 c_setsum @ 552.09/72.50 ( 552.09/72.50 c_Inj0 @ 552.09/72.50 c_Empty) @ 552.09/72.50 ( 552.09/72.50 Y3 @ 552.09/72.50 c_Empty @ 552.09/72.50 c_Empty))))) => 552.09/72.50 (( 552.09/72.50 (Y1 @ 552.09/72.50 ( 552.09/72.50 ^[Y7 : $i]: 552.09/72.50 (c_Empty)) @ 552.09/72.50 ( 552.09/72.50 ^[Y7 : ( 552.09/72.50 ( 552.09/72.50 $i > $i) > $i) > $i, 552.09/72.50 Y8 : 552.09/72.50 $i > $i > $i, 552.09/72.50 Y9 : $i, 552.09/72.50 Y10 : $i]: 552.09/72.50 (c_Empty)) @ 552.09/72.50 ( 552.09/72.50 c_setsum @ 552.09/72.50 ( 552.09/72.50 c_setsum @ 552.09/72.50 c_Empty @ 552.09/72.50 ( 552.09/72.50 c_setsum @ 552.09/72.50 ( 552.09/72.50 c_setsum @ 552.09/72.50 c_Empty @ 552.09/72.50 c_Empty) @ 552.09/72.50 ( 552.09/72.50 c_Inj0 @ 552.09/72.50 c_Empty))) @ 552.09/72.50 ( 552.09/72.50 c_Inj1 @ 552.09/72.50 Y5))) => 552.09/72.50 (Y0 @ 552.09/72.50 ( 552.09/72.50 ^[Y7 : $i, 552.09/72.50 Y8 : ( 552.09/72.50 $i > $i) > $i]: 552.09/72.50 (c_Inj0 @ 552.09/72.50 c_Empty)) @ 552.09/72.50 ( 552.09/72.50 Y3 @ 552.09/72.50 c_Empty @ 552.09/72.50 ( 552.09/72.50 Y4 @ 552.09/72.50 ( 552.09/72.50 c_setsum @ 552.09/72.50 ( 552.09/72.50 c_Inj1 @ 552.09/72.50 c_Empty) @ 552.09/72.50 c_Empty)))))))))))))))))))) => 552.09/72.50 (((((!!) @ (^[Y3 : $i]: 552.09/72.50 (((!!) @ ( 552.09/72.50 ^[Y4 : $i > $i]: 552.09/72.50 (((!!) @ ( 552.09/72.50 ^[Y5 : $i > $i]: 552.09/72.50 (( 552.09/72.50 (!!) @ ( 552.09/72.50 ^[Y6 : $i]: 552.09/72.50 (( 552.09/72.50 (Y2 @ 552.09/72.50 ( 552.09/72.50 ^[Y7 : $i, 552.09/72.50 Y8 : 552.09/72.50 $i > $i > $i]: 552.09/72.50 (c_Empty)) @ 552.09/72.50 c_Empty @ 552.09/72.50 c_Empty) => 552.09/72.50 (Y0 @ 552.09/72.50 ( 552.09/72.50 ^[Y7 : $i, 552.09/72.50 Y8 : ( 552.09/72.50 $i > $i) > $i]: 552.09/72.50 (Y8 @ 552.09/72.50 (^[Y9 : $i]: 552.09/72.50 (c_setsum @ 552.09/72.50 (c_Inj1 @ 552.09/72.50 (c_Inj0 @ 552.09/72.50 c_Empty)) @ 552.09/72.50 (c_setsum @ 552.09/72.50 c_Empty @ 552.09/72.50 c_Empty))))) @ 552.09/72.50 c_Empty))))))))))))))) => 552.09/72.50 (((((!!) @ (^[Y3 : $i]: 552.09/72.50 (((!!) @ ( 552.09/72.50 ^[Y4 : $i]: 552.09/72.50 ( 552.09/72.50 ( 552.09/72.50 (!!) @ ( 552.09/72.50 ^[Y5 : $i]: 552.09/72.50 (( 552.09/72.50 (!!) @ ( 552.09/72.50 ^[Y6 : $i]: 552.09/72.50 (( 552.09/72.50 (c_In @ 552.09/72.50 ( 552.09/72.50 c_Inj0 @ 552.09/72.50 Y5) @ 552.09/72.50 ( 552.09/72.50 c_setsum @ 552.09/72.50 ( 552.09/72.50 c_setsum @ 552.09/72.50 Y3 @ 552.09/72.50 ( 552.09/72.50 c_setsum @ 552.09/72.50 Y4 @ 552.09/72.50 ( 552.09/72.50 c_setsum @ 552.09/72.50 c_Empty @ 552.09/72.50 c_Empty))) @ 552.09/72.50 ( 552.09/72.50 c_Inj1 @ 552.09/72.50 ( 552.09/72.50 c_setsum @ 552.09/72.50 Y4 @ 552.09/72.50 c_Empty)))) => 552.09/72.50 (( 552.09/72.50 (Y0 @ 552.09/72.50 ( 552.09/72.50 ^[Y7 : $i, 552.09/72.50 Y8 : ( 552.09/72.50 $i > $i) > $i]: 552.09/72.50 (Y6)) @ 552.09/72.50 c_Empty) => 552.09/72.50 (Y1 @ 552.09/72.50 ( 552.09/72.50 ^[Y7 : $i]: 552.09/72.50 (c_Empty)) @ 552.09/72.50 ( 552.09/72.50 ^[Y7 : ( 552.09/72.50 ( 552.09/72.50 $i > $i) > $i) > $i, 552.09/72.50 Y8 : 552.09/72.50 $i > $i > $i, 552.09/72.50 Y9 : $i, 552.09/72.50 Y10 : $i]: 552.09/72.50 (c_setsum @ 552.09/72.50 c_Empty @ 552.09/72.50 c_Empty)) @ 552.09/72.50 Y4))))))))))))))))) => 552.09/72.50 (((((!!) @ (^[Y3 : ( 552.09/72.50 (($i > $i) > 552.09/72.50 $i > $i) > $i) > $i]: 552.09/72.50 (((!!) @ ( 552.09/72.50 ^[Y4 : $i]: 552.09/72.50 (( 552.09/72.50 (!!) @ ( 552.09/72.50 ^[Y5 : $i]: 552.09/72.50 (( 552.09/72.50 (!!) @ ( 552.09/72.50 ^[Y6 : $i]: 552.09/72.50 (( 552.09/72.50 (c_In @ 552.09/72.50 ( 552.09/72.50 c_Inj1 @ 552.09/72.50 c_Empty) @ 552.09/72.50 Y4) => 552.09/72.50 (( 552.09/72.50 (~) @ ( 552.09/72.50 Y0 @ 552.09/72.50 ( 552.09/72.50 ^[Y7 : $i, 552.09/72.50 Y8 : ( 552.09/72.50 $i > $i) > $i]: 552.09/72.50 (c_Empty)) @ 552.09/72.50 c_Empty))))))))))))))))) => 552.09/72.50 (c_False))))))))))))))))))))))), 552.09/72.50 inference('simplify boolean subterms', [status(thm)], [zip_derived_cl165])). 552.09/72.50 thf(zip_derived_cl532, plain, 552.09/72.50 (![X2 : ($i > (($i > $i) > $i) > $i) > $i > $o]: 552.09/72.50 (((!!) @ (^[Y0 : ($i > $i) > 552.09/72.50 (((($i > $i) > $i) > $i) > ($i > $i > $i) > $i > $i > $i) > 552.09/72.50 $i > $o]: 552.09/72.50 (((!!) @ (^[Y1 : ($i > ($i > $i > $i) > $i) > $i > $i > $o]: 552.09/72.50 (((((!!) @ (^[Y2 : (($i > $i > $i) > 552.09/72.50 ($i > $i) > $i > $i) > $i]: 552.09/72.50 (((!!) @ (^[Y3 : $i]: 552.09/72.50 (((!!) @ (^[Y4 : $i]: 552.09/72.50 (( 552.09/72.50 (!!) @ ( 552.09/72.50 ^[Y5 : $i]: 552.09/72.50 (( 552.09/72.50 (c_In @ 552.09/72.50 ( 552.09/72.50 c_Inj0 @ 552.09/72.50 Y4) @ 552.09/72.50 ( 552.09/72.50 c_setsum @ 552.09/72.50 ( 552.09/72.50 c_setsum @ 552.09/72.50 c_Empty @ 552.09/72.50 c_Empty) @ 552.09/72.50 ( 552.09/72.50 c_setsum @ 552.09/72.50 Y4 @ 552.09/72.50 ( 552.09/72.50 c_Inj0 @ 552.09/72.50 ( 552.09/72.50 c_setsum @ 552.09/72.50 c_Empty @ 552.09/72.50 c_Empty))))) => 552.09/72.50 (( 552.09/72.50 (Y0 @ 552.09/72.50 ( 552.09/72.50 ^[Y6 : $i]: 552.09/72.50 (c_Inj0 @ 552.09/72.50 (c_Inj0 @ 552.09/72.50 c_Empty))) @ 552.09/72.50 ( 552.09/72.50 ^[Y6 : ( 552.09/72.50 ( 552.09/72.50 $i > $i) > $i) > $i, 552.09/72.50 Y7 : 552.09/72.50 $i > $i > $i, 552.09/72.50 Y8 : $i, 552.09/72.50 Y9 : $i]: 552.09/72.50 (Y8)) @ 552.09/72.50 ( 552.09/72.50 c_setsum @ 552.09/72.50 ( 552.09/72.50 Y2 @ 552.09/72.50 ( 552.09/72.50 ^[Y6 : 552.09/72.50 $i > $i > $i, 552.09/72.50 Y7 : $i > $i, 552.09/72.50 Y8 : $i]: 552.09/72.50 (c_Inj0 @ 552.09/72.50 (c_setsum @ 552.09/72.50 c_Empty @ 552.09/72.50 c_Empty)))) @ 552.09/72.50 c_Empty)) => 552.09/72.50 (Y1 @ 552.09/72.50 ( 552.09/72.50 ^[Y6 : $i, 552.09/72.50 Y7 : 552.09/72.50 $i > $i > $i]: 552.09/72.50 (c_Inj0 @ 552.09/72.50 Y6)) @ 552.09/72.50 Y3 @ 552.09/72.50 ( 552.09/72.50 c_setsum @ 552.09/72.50 ( 552.09/72.50 c_setsum @ 552.09/72.50 ( 552.09/72.50 c_setsum @ 552.09/72.50 c_Empty @ 552.09/72.50 ( 552.09/72.50 c_setsum @ 552.09/72.50 c_Empty @ 552.09/72.50 c_Empty)) @ 552.09/72.50 ( 552.09/72.50 c_Inj0 @ 552.09/72.50 c_Empty)) @ 552.09/72.50 c_Empty)))))))))))))))))) => 552.09/72.50 (((((!!) @ (^[Y2 : ((($i > $i) > $i > $i) > $i) > $i]: 552.09/72.50 (((!!) @ (^[Y3 : $i > $i]: 552.09/72.50 (((!!) @ ( 552.09/72.50 ^[Y4 : $i]: 552.09/72.50 (((!!) @ ( 552.09/72.50 ^[Y5 : $i]: 552.09/72.50 ( 552.09/72.50 ( 552.09/72.50 (Y1 @ 552.09/72.50 ( 552.09/72.50 ^[Y6 : $i, 552.09/72.50 Y7 : 552.09/72.50 $i > $i > $i]: 552.09/72.50 (c_Empty)) @ 552.09/72.50 Y5 @ 552.09/72.50 ( 552.09/72.50 c_setsum @ 552.09/72.50 ( 552.09/72.50 c_setsum @ 552.09/72.50 ( 552.09/72.50 c_setsum @ 552.09/72.50 ( 552.09/72.50 c_setsum @ 552.09/72.50 c_Empty @ 552.09/72.50 c_Empty) @ 552.09/72.50 c_Empty) @ 552.09/72.50 ( 552.09/72.50 c_setsum @ 552.09/72.50 ( 552.09/72.50 c_setsum @ 552.09/72.50 c_Empty @ 552.09/72.50 c_Empty) @ 552.09/72.50 ( 552.09/72.50 c_Inj0 @ 552.09/72.50 c_Empty))) @ 552.09/72.50 ( 552.09/72.50 c_setsum @ 552.09/72.50 c_Empty @ 552.09/72.50 ( 552.09/72.50 c_Inj1 @ 552.09/72.50 ( 552.09/72.50 c_setsum @ 552.09/72.50 c_Empty @ 552.09/72.50 c_Empty))))) => 552.09/72.50 (Y1 @ 552.09/72.50 ( 552.09/72.50 ^[Y6 : $i, 552.09/72.50 Y7 : 552.09/72.50 $i > $i > $i]: 552.09/72.50 (Y5)) @ 552.09/72.50 ( 552.09/72.50 c_setsum @ 552.09/72.50 ( 552.09/72.50 Y2 @ 552.09/72.50 ( 552.09/72.50 ^[Y6 : 552.09/72.50 ( 552.09/72.50 $i > $i) > 552.09/72.50 $i > $i]: 552.09/72.50 (Y5))) @ 552.09/72.50 Y4) @ 552.09/72.50 ( 552.09/72.50 c_Inj0 @ 552.09/72.50 ( 552.09/72.50 c_Inj1 @ 552.09/72.50 ( 552.09/72.50 c_setsum @ 552.09/72.50 ( 552.09/72.50 c_setsum @ 552.09/72.50 c_Empty @ 552.09/72.50 c_Empty) @ 552.09/72.50 ( 552.09/72.50 c_setsum @ 552.09/72.50 c_Empty @ 552.09/72.50 c_Empty))))))))))))))))))) => 552.09/72.50 (((((!!) @ (^[Y2 : $i > $i > $i]: 552.09/72.50 (((!!) @ (^[Y3 : $i > $i]: 552.09/72.50 (((!!) @ ( 552.09/72.50 ^[Y4 : $i]: 552.09/72.50 (((!!) @ ( 552.09/72.50 ^[Y5 : $i > $i]: 552.09/72.50 (( 552.09/72.50 (c_In @ 552.09/72.50 ( 552.09/72.50 c_Inj0 @ 552.09/72.50 ( 552.09/72.50 c_Inj1 @ 552.09/72.50 c_Empty)) @ 552.09/72.50 ( 552.09/72.50 c_setsum @ 552.09/72.50 ( 552.09/72.50 c_setsum @ 552.09/72.50 ( 552.09/72.50 c_Inj0 @ 552.09/72.50 c_Empty) @ 552.09/72.50 ( 552.09/72.50 c_setsum @ 552.09/72.50 ( 552.09/72.50 c_setsum @ 552.09/72.50 c_Empty @ 552.09/72.50 c_Empty) @ 552.09/72.50 ( 552.09/72.50 c_setsum @ 552.09/72.50 c_Empty @ 552.09/72.50 c_Empty))) @ 552.09/72.50 ( 552.09/72.50 c_setsum @ 552.09/72.50 c_Empty @ 552.09/72.50 ( 552.09/72.50 c_setsum @ 552.09/72.50 ( 552.09/72.50 c_Inj0 @ 552.09/72.50 c_Empty) @ 552.09/72.50 ( 552.09/72.50 Y2 @ 552.09/72.50 c_Empty @ 552.09/72.50 c_Empty))))) => 552.09/72.50 (( 552.09/72.50 (Y0 @ 552.09/72.50 ( 552.09/72.50 ^[Y6 : $i]: 552.09/72.50 (c_Empty)) @ 552.09/72.50 ( 552.09/72.50 ^[Y6 : ( 552.09/72.50 ( 552.09/72.50 $i > $i) > $i) > $i, 552.09/72.50 Y7 : 552.09/72.50 $i > $i > $i, 552.09/72.50 Y8 : $i, 552.09/72.50 Y9 : $i]: 552.09/72.50 (c_Empty)) @ 552.09/72.50 ( 552.09/72.50 c_setsum @ 552.09/72.50 ( 552.09/72.50 c_setsum @ 552.09/72.50 c_Empty @ 552.09/72.50 ( 552.09/72.50 c_setsum @ 552.09/72.50 ( 552.09/72.50 c_setsum @ 552.09/72.50 c_Empty @ 552.09/72.50 c_Empty) @ 552.09/72.50 ( 552.09/72.50 c_Inj0 @ 552.09/72.50 c_Empty))) @ 552.09/72.50 ( 552.09/72.50 c_Inj1 @ 552.09/72.50 Y4))) => 552.09/72.50 (X2 @ 552.09/72.50 ( 552.09/72.50 ^[Y6 : $i, 552.09/72.50 Y7 : ( 552.09/72.50 $i > $i) > $i]: 552.09/72.50 (c_Inj0 @ 552.09/72.50 c_Empty)) @ 552.09/72.50 ( 552.09/72.50 Y2 @ 552.09/72.50 c_Empty @ 552.09/72.50 ( 552.09/72.50 Y3 @ 552.09/72.50 ( 552.09/72.50 c_setsum @ 552.09/72.50 ( 552.09/72.50 c_Inj1 @ 552.09/72.50 c_Empty) @ 552.09/72.50 c_Empty)))))))))))))))))))) => 552.09/72.50 (((((!!) @ (^[Y2 : $i]: 552.09/72.50 (((!!) @ (^[Y3 : $i > $i]: 552.09/72.50 (((!!) @ ( 552.09/72.50 ^[Y4 : $i > $i]: 552.09/72.50 ( 552.09/72.50 ( 552.09/72.50 (!!) @ ( 552.09/72.50 ^[Y5 : $i]: 552.09/72.50 (( 552.09/72.50 (Y1 @ 552.09/72.50 ( 552.09/72.50 ^[Y6 : $i, 552.09/72.50 Y7 : 552.09/72.50 $i > $i > $i]: 552.09/72.50 (c_Empty)) @ 552.09/72.50 c_Empty @ 552.09/72.50 c_Empty) => 552.09/72.50 (X2 @ 552.09/72.50 ( 552.09/72.50 ^[Y6 : $i, 552.09/72.50 Y7 : ( 552.09/72.50 $i > $i) > $i]: 552.09/72.50 (Y7 @ 552.09/72.50 (^[Y8 : $i]: 552.09/72.50 (c_setsum @ 552.09/72.50 (c_Inj1 @ 552.09/72.50 (c_Inj0 @ 552.09/72.50 c_Empty)) @ 552.09/72.50 (c_setsum @ 552.09/72.50 c_Empty @ 552.09/72.50 c_Empty))))) @ 552.09/72.50 c_Empty))))))))))))))) => 552.09/72.50 (((((!!) @ (^[Y2 : $i]: 552.09/72.50 (((!!) @ (^[Y3 : $i]: 552.09/72.50 (((!!) @ ( 552.09/72.50 ^[Y4 : $i]: 552.09/72.50 (( 552.09/72.50 (!!) @ ( 552.09/72.50 ^[Y5 : $i]: 552.09/72.50 (( 552.09/72.50 (c_In @ 552.09/72.50 ( 552.09/72.50 c_Inj0 @ 552.09/72.50 Y4) @ 552.09/72.50 ( 552.09/72.50 c_setsum @ 552.09/72.50 ( 552.09/72.50 c_setsum @ 552.09/72.50 Y2 @ 552.09/72.50 ( 552.09/72.50 c_setsum @ 552.09/72.50 Y3 @ 552.09/72.50 ( 552.09/72.50 c_setsum @ 552.09/72.50 c_Empty @ 552.09/72.50 c_Empty))) @ 552.09/72.50 ( 552.09/72.50 c_Inj1 @ 552.09/72.50 ( 552.09/72.50 c_setsum @ 552.09/72.50 Y3 @ 552.09/72.50 c_Empty)))) => 552.09/72.50 (( 552.09/72.50 (X2 @ 552.09/72.50 ( 552.09/72.50 ^[Y6 : $i, 552.09/72.50 Y7 : ( 552.09/72.50 $i > $i) > $i]: 552.09/72.50 (Y5)) @ 552.09/72.50 c_Empty) => 552.09/72.50 (Y0 @ 552.09/72.50 ( 552.09/72.50 ^[Y6 : $i]: 552.09/72.50 (c_Empty)) @ 552.09/72.50 ( 552.09/72.50 ^[Y6 : ( 552.09/72.50 ( 552.09/72.50 $i > $i) > $i) > $i, 552.09/72.50 Y7 : 552.09/72.50 $i > $i > $i, 552.09/72.50 Y8 : $i, 552.09/72.50 Y9 : $i]: 552.09/72.50 (c_setsum @ 552.09/72.50 c_Empty @ 552.09/72.50 c_Empty)) @ 552.09/72.50 Y3))))))))))))))))) => 552.09/72.50 (((((!!) @ (^[Y2 : ((($i > $i) > $i > $i) > $i) > $i]: 552.09/72.50 (((!!) @ (^[Y3 : $i]: 552.09/72.50 ( 552.09/72.50 ( 552.09/72.50 (!!) @ ( 552.09/72.50 ^[Y4 : $i]: 552.09/72.50 (( 552.09/72.50 (!!) @ ( 552.09/72.50 ^[Y5 : $i]: 552.09/72.50 (( 552.09/72.50 (c_In @ 552.09/72.50 ( 552.09/72.50 c_Inj1 @ 552.09/72.50 c_Empty) @ 552.09/72.50 Y3) => 552.09/72.50 (( 552.09/72.50 (~) @ ( 552.09/72.50 X2 @ 552.09/72.50 ( 552.09/72.50 ^[Y6 : $i, 552.09/72.50 Y7 : ( 552.09/72.50 $i > $i) > $i]: 552.09/72.50 (c_Empty)) @ 552.09/72.50 c_Empty))))))))))))))))) => 552.09/72.50 (c_False)))))))))))))))))))), 552.09/72.50 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl531])). 552.09/72.50 thf(zip_derived_cl534, plain, 552.09/72.50 ( (((!!) @ (^[Y0 : ($i > $i) > 552.09/72.50 (((($i > $i) > $i) > $i) > ($i > $i > $i) > $i > $i > $i) > 552.09/72.50 $i > $o]: 552.09/72.50 (((!!) @ (^[Y1 : ($i > ($i > $i > $i) > $i) > $i > $i > $o]: 552.09/72.50 (((((!!) @ (^[Y2 : (($i > $i > $i) > 552.09/72.50 ($i > $i) > $i > $i) > $i]: 552.09/72.50 (((!!) @ (^[Y3 : $i]: 552.09/72.50 (((!!) @ (^[Y4 : $i]: 552.09/72.50 ( 552.09/72.50 ( 552.09/72.50 (!!) @ ( 552.09/72.50 ^[Y5 : $i]: 552.09/72.50 (( 552.09/72.50 (c_In @ 552.09/72.50 ( 552.09/72.50 c_Inj0 @ 552.09/72.50 Y4) @ 552.09/72.50 ( 552.09/72.50 c_setsum @ 552.09/72.50 ( 552.09/72.50 c_setsum @ 552.09/72.50 c_Empty @ 552.09/72.50 c_Empty) @ 552.09/72.50 ( 552.09/72.50 c_setsum @ 552.09/72.50 Y4 @ 552.09/72.50 ( 552.09/72.50 c_Inj0 @ 552.09/72.50 ( 552.09/72.50 c_setsum @ 552.09/72.50 c_Empty @ 552.09/72.50 c_Empty))))) => 552.09/72.50 (( 552.09/72.50 (Y0 @ 552.09/72.50 ( 552.09/72.50 ^[Y6 : $i]: 552.09/72.50 (c_Inj0 @ 552.09/72.50 (c_Inj0 @ 552.09/72.50 c_Empty))) @ 552.09/72.50 ( 552.09/72.50 ^[Y6 : ( 552.09/72.50 ( 552.09/72.50 $i > $i) > $i) > $i, 552.09/72.50 Y7 : 552.09/72.50 $i > $i > $i, 552.09/72.50 Y8 : $i, 552.09/72.50 Y9 : $i]: 552.09/72.50 (Y8)) @ 552.09/72.50 ( 552.09/72.50 c_setsum @ 552.09/72.50 ( 552.09/72.50 Y2 @ 552.09/72.50 ( 552.09/72.50 ^[Y6 : 552.09/72.50 $i > $i > $i, 552.09/72.50 Y7 : $i > $i, 552.09/72.50 Y8 : $i]: 552.09/72.50 (c_Inj0 @ 552.09/72.50 (c_setsum @ 552.09/72.50 c_Empty @ 552.09/72.50 c_Empty)))) @ 552.09/72.50 c_Empty)) => 552.09/72.50 (Y1 @ 552.09/72.50 ( 552.09/72.50 ^[Y6 : $i, 552.09/72.50 Y7 : 552.09/72.50 $i > $i > $i]: 552.09/72.50 (c_Inj0 @ 552.09/72.50 Y6)) @ 552.09/72.50 Y3 @ 552.09/72.50 ( 552.09/72.50 c_setsum @ 552.09/72.50 ( 552.09/72.50 c_setsum @ 552.09/72.50 ( 552.09/72.50 c_setsum @ 552.09/72.50 c_Empty @ 552.09/72.50 ( 552.09/72.50 c_setsum @ 552.09/72.50 c_Empty @ 552.09/72.50 c_Empty)) @ 552.09/72.50 ( 552.09/72.50 c_Inj0 @ 552.09/72.50 c_Empty)) @ 552.09/72.50 c_Empty)))))))))))))))))) => 552.09/72.50 (((((!!) @ (^[Y2 : ((($i > $i) > $i > $i) > $i) > $i]: 552.09/72.50 (((!!) @ (^[Y3 : $i > $i]: 552.09/72.50 (((!!) @ (^[Y4 : $i]: 552.09/72.50 (( 552.09/72.50 (!!) @ ( 552.09/72.50 ^[Y5 : $i]: 552.09/72.50 (( 552.09/72.50 (Y1 @ 552.09/72.50 ( 552.09/72.50 ^[Y6 : $i, 552.09/72.50 Y7 : 552.09/72.50 $i > $i > $i]: 552.09/72.50 (c_Empty)) @ 552.09/72.50 Y5 @ 552.09/72.50 ( 552.09/72.50 c_setsum @ 552.09/72.50 ( 552.09/72.50 c_setsum @ 552.09/72.50 ( 552.09/72.50 c_setsum @ 552.09/72.50 ( 552.09/72.50 c_setsum @ 552.09/72.50 c_Empty @ 552.09/72.50 c_Empty) @ 552.09/72.50 c_Empty) @ 552.09/72.50 ( 552.09/72.50 c_setsum @ 552.09/72.50 ( 552.09/72.50 c_setsum @ 552.09/72.50 c_Empty @ 552.09/72.50 c_Empty) @ 552.09/72.50 ( 552.09/72.50 c_Inj0 @ 552.09/72.50 c_Empty))) @ 552.09/72.50 ( 552.09/72.50 c_setsum @ 552.09/72.50 c_Empty @ 552.09/72.50 ( 552.09/72.50 c_Inj1 @ 552.09/72.50 ( 552.09/72.50 c_setsum @ 552.09/72.50 c_Empty @ 552.09/72.50 c_Empty))))) => 552.09/72.50 (Y1 @ 552.09/72.50 ( 552.09/72.50 ^[Y6 : $i, 552.09/72.50 Y7 : 552.09/72.50 $i > $i > $i]: 552.09/72.50 (Y5)) @ 552.09/72.50 ( 552.09/72.50 c_setsum @ 552.09/72.50 ( 552.09/72.50 Y2 @ 552.09/72.50 ( 552.09/72.50 ^[Y6 : 552.09/72.50 ( 552.09/72.50 $i > $i) > 552.09/72.50 $i > $i]: 552.09/72.50 (Y5))) @ 552.09/72.50 Y4) @ 552.09/72.50 ( 552.09/72.50 c_Inj0 @ 552.09/72.50 ( 552.09/72.50 c_Inj1 @ 552.09/72.50 ( 552.09/72.50 c_setsum @ 552.09/72.50 ( 552.09/72.50 c_setsum @ 552.09/72.50 c_Empty @ 552.09/72.50 c_Empty) @ 552.09/72.50 ( 552.09/72.50 c_setsum @ 552.09/72.50 c_Empty @ 552.09/72.50 c_Empty))))))))))))))))))) => 552.09/72.50 (((((!!) @ (^[Y2 : $i > $i > $i]: 552.09/72.50 (((!!) @ (^[Y3 : $i > $i]: 552.09/72.50 (((!!) @ ( 552.09/72.50 ^[Y4 : $i]: 552.09/72.50 (((!!) @ ( 552.09/72.50 ^[Y5 : $i > $i]: 552.09/72.50 ( 552.09/72.50 ( 552.09/72.50 (c_In @ 552.09/72.50 ( 552.09/72.50 c_Inj0 @ 552.09/72.50 ( 552.09/72.50 c_Inj1 @ 552.09/72.50 c_Empty)) @ 552.09/72.50 ( 552.09/72.50 c_setsum @ 552.09/72.50 ( 552.09/72.50 c_setsum @ 552.09/72.50 ( 552.09/72.50 c_Inj0 @ 552.09/72.50 c_Empty) @ 552.09/72.50 ( 552.09/72.50 c_setsum @ 552.09/72.50 ( 552.09/72.50 c_setsum @ 552.09/72.50 c_Empty @ 552.09/72.50 c_Empty) @ 552.09/72.50 ( 552.09/72.50 c_setsum @ 552.09/72.50 c_Empty @ 552.09/72.50 c_Empty))) @ 552.09/72.50 ( 552.09/72.50 c_setsum @ 552.09/72.50 c_Empty @ 552.09/72.50 ( 552.09/72.50 c_setsum @ 552.09/72.50 ( 552.09/72.50 c_Inj0 @ 552.09/72.50 c_Empty) @ 552.09/72.50 ( 552.09/72.50 Y2 @ 552.09/72.50 c_Empty @ 552.09/72.50 c_Empty))))) => 552.09/72.50 (( 552.09/72.50 (Y0 @ 552.09/72.50 ( 552.09/72.50 ^[Y6 : $i]: 552.09/72.50 (c_Empty)) @ 552.09/72.50 ( 552.09/72.50 ^[Y6 : ( 552.09/72.50 ( 552.09/72.50 $i > $i) > $i) > $i, 552.09/72.50 Y7 : 552.09/72.50 $i > $i > $i, 552.09/72.50 Y8 : $i, 552.09/72.50 Y9 : $i]: 552.09/72.50 (c_Empty)) @ 552.09/72.50 ( 552.09/72.50 c_setsum @ 552.09/72.50 ( 552.09/72.50 c_setsum @ 552.09/72.50 c_Empty @ 552.09/72.50 ( 552.09/72.50 c_setsum @ 552.09/72.50 ( 552.09/72.50 c_setsum @ 552.09/72.50 c_Empty @ 552.09/72.50 c_Empty) @ 552.09/72.50 ( 552.09/72.50 c_Inj0 @ 552.09/72.50 c_Empty))) @ 552.09/72.50 ( 552.09/72.50 c_Inj1 @ 552.09/72.50 Y4))) => 552.09/72.50 ($false))))))))))))))))) => 552.09/72.50 (((((!!) @ (^[Y2 : $i]: 552.09/72.50 (((!!) @ (^[Y3 : $i > $i]: 552.09/72.50 (((!!) @ ( 552.09/72.50 ^[Y4 : $i > $i]: 552.09/72.50 (((!!) @ ( 552.09/72.50 ^[Y5 : $i]: 552.09/72.50 (( 552.09/72.50 (Y1 @ 552.09/72.50 ( 552.09/72.50 ^[Y6 : $i, 552.09/72.50 Y7 : 552.09/72.50 $i > $i > $i]: 552.09/72.50 (c_Empty)) @ 552.09/72.50 c_Empty @ 552.09/72.50 c_Empty) => 552.09/72.50 ($false))))))))))))))) => 552.09/72.50 (((((!!) @ (^[Y2 : $i]: 552.09/72.50 (((!!) @ (^[Y3 : $i]: 552.09/72.50 (((!!) @ ( 552.09/72.50 ^[Y4 : $i]: 552.09/72.50 ( 552.09/72.50 ( 552.09/72.50 (!!) @ ( 552.09/72.50 ^[Y5 : $i]: 552.09/72.50 (( 552.09/72.50 (c_In @ 552.09/72.50 ( 552.09/72.50 c_Inj0 @ 552.09/72.50 Y4) @ 552.09/72.50 ( 552.09/72.50 c_setsum @ 552.09/72.50 ( 552.09/72.50 c_setsum @ 552.09/72.50 Y2 @ 552.09/72.50 ( 552.09/72.50 c_setsum @ 552.09/72.50 Y3 @ 552.09/72.50 ( 552.09/72.50 c_setsum @ 552.09/72.50 c_Empty @ 552.09/72.50 c_Empty))) @ 552.09/72.50 ( 552.09/72.50 c_Inj1 @ 552.09/72.50 ( 552.09/72.50 c_setsum @ 552.09/72.50 Y3 @ 552.09/72.50 c_Empty)))) => 552.09/72.50 (( 552.09/72.50 ($false) => 552.09/72.50 (Y0 @ 552.09/72.50 ( 552.09/72.50 ^[Y6 : $i]: 552.09/72.50 (c_Empty)) @ 552.09/72.50 ( 552.09/72.50 ^[Y6 : ( 552.09/72.50 ( 552.09/72.50 $i > $i) > $i) > $i, 552.09/72.50 Y7 : 552.09/72.50 $i > $i > $i, 552.09/72.50 Y8 : $i, 552.09/72.50 Y9 : $i]: 552.09/72.50 (c_setsum @ 552.09/72.50 c_Empty @ 552.09/72.50 c_Empty)) @ 552.09/72.50 Y3))))))))))))))))) => 552.09/72.50 (((((!!) @ (^[Y2 : ((($i > $i) > $i > $i) > $i) > $i]: 552.09/72.50 (((!!) @ (^[Y3 : $i]: 552.09/72.50 (((!!) @ ( 552.09/72.50 ^[Y4 : $i]: 552.09/72.50 (( 552.09/72.50 (!!) @ ( 552.09/72.50 ^[Y5 : $i]: 552.09/72.50 (( 552.09/72.50 (c_In @ 552.09/72.50 ( 552.09/72.50 c_Inj1 @ 552.09/72.50 c_Empty) @ 552.09/72.50 Y3) => 552.09/72.50 (( 552.09/72.50 (~) @ ( 552.09/72.50 $false))))))))))))))))) => 552.09/72.50 (c_False)))))))))))))))))))), 552.09/72.50 inference('ho.refine.early.bird', [status(thm)], [zip_derived_cl532])). 552.09/72.50 thf(zip_derived_cl620, plain, 552.09/72.50 ( (((!!) @ (^[Y0 : ($i > $i) > 552.09/72.50 (((($i > $i) > $i) > $i) > ($i > $i > $i) > $i > $i > $i) > 552.09/72.50 $i > $o]: 552.09/72.50 (((!!) @ (^[Y1 : ($i > ($i > $i > $i) > $i) > $i > $i > $o]: 552.09/72.50 (((((!!) @ (^[Y2 : (($i > $i > $i) > 552.09/72.50 ($i > $i) > $i > $i) > $i]: 552.09/72.50 (((!!) @ (^[Y3 : $i]: 552.09/72.50 (((!!) @ (^[Y4 : $i]: 552.09/72.50 ( 552.09/72.50 ( 552.09/72.50 (!!) @ ( 552.09/72.50 ^[Y5 : $i]: 552.09/72.50 (( 552.09/72.50 (c_In @ 552.09/72.50 ( 552.09/72.50 c_Inj0 @ 552.09/72.50 Y4) @ 552.09/72.50 ( 552.09/72.50 c_setsum @ 552.09/72.50 ( 552.09/72.50 c_setsum @ 552.09/72.50 c_Empty @ 552.09/72.50 c_Empty) @ 552.09/72.50 ( 552.09/72.50 c_setsum @ 552.09/72.50 Y4 @ 552.09/72.50 ( 552.09/72.50 c_Inj0 @ 552.09/72.50 ( 552.09/72.50 c_setsum @ 552.09/72.50 c_Empty @ 552.09/72.50 c_Empty))))) => 552.09/72.50 (( 552.09/72.50 (Y0 @ 552.09/72.50 ( 552.09/72.50 ^[Y6 : $i]: 552.09/72.50 (c_Inj0 @ 552.09/72.50 (c_Inj0 @ 552.09/72.50 c_Empty))) @ 552.09/72.50 ( 552.09/72.50 ^[Y6 : ( 552.09/72.50 ( 552.09/72.50 $i > $i) > $i) > $i, 552.09/72.50 Y7 : 552.09/72.50 $i > $i > $i, 552.09/72.50 Y8 : $i, 552.09/72.50 Y9 : $i]: 552.09/72.50 (Y8)) @ 552.09/72.50 ( 552.09/72.50 c_setsum @ 552.09/72.50 ( 552.09/72.50 Y2 @ 552.09/72.50 ( 552.09/72.50 ^[Y6 : 552.09/72.50 $i > $i > $i, 552.09/72.50 Y7 : $i > $i, 552.09/72.50 Y8 : $i]: 552.09/72.50 (c_Inj0 @ 552.09/72.50 (c_setsum @ 552.09/72.50 c_Empty @ 552.09/72.50 c_Empty)))) @ 552.09/72.50 c_Empty)) => 552.09/72.50 (Y1 @ 552.09/72.50 ( 552.09/72.50 ^[Y6 : $i, 552.09/72.50 Y7 : 552.09/72.50 $i > $i > $i]: 552.09/72.50 (c_Inj0 @ 552.09/72.50 Y6)) @ 552.09/72.50 Y3 @ 552.09/72.50 ( 552.09/72.50 c_setsum @ 552.09/72.50 ( 552.09/72.50 c_setsum @ 552.09/72.50 ( 552.09/72.50 c_setsum @ 552.09/72.50 c_Empty @ 552.09/72.50 ( 552.09/72.50 c_setsum @ 552.09/72.50 c_Empty @ 552.09/72.50 c_Empty)) @ 552.09/72.50 ( 552.09/72.50 c_Inj0 @ 552.09/72.50 c_Empty)) @ 552.09/72.50 c_Empty)))))))))))))))))) => 552.09/72.50 (((((!!) @ (^[Y2 : ((($i > $i) > $i > $i) > $i) > $i]: 552.09/72.51 (((!!) @ (^[Y3 : $i > $i]: 552.09/72.51 (((!!) @ (^[Y4 : $i]: 552.09/72.51 (( 552.09/72.51 (!!) @ ( 552.09/72.51 ^[Y5 : $i]: 552.09/72.51 (( 552.09/72.51 (Y1 @ 552.09/72.51 ( 552.09/72.51 ^[Y6 : $i, 552.09/72.51 Y7 : 552.09/72.51 $i > $i > $i]: 552.09/72.51 (c_Empty)) @ 552.09/72.51 Y5 @ 552.09/72.51 ( 552.09/72.51 c_setsum @ 552.09/72.51 ( 552.09/72.51 c_setsum @ 552.09/72.51 ( 552.09/72.51 c_setsum @ 552.09/72.51 ( 552.09/72.51 c_setsum @ 552.09/72.51 c_Empty @ 552.09/72.51 c_Empty) @ 552.09/72.51 c_Empty) @ 552.09/72.51 ( 552.09/72.51 c_setsum @ 552.09/72.51 ( 552.09/72.51 c_setsum @ 552.09/72.51 c_Empty @ 552.09/72.51 c_Empty) @ 552.09/72.51 ( 552.09/72.51 c_Inj0 @ 552.09/72.51 c_Empty))) @ 552.09/72.51 ( 552.09/72.51 c_setsum @ 552.09/72.51 c_Empty @ 552.09/72.51 ( 552.09/72.51 c_Inj1 @ 552.09/72.51 ( 552.09/72.51 c_setsum @ 552.09/72.51 c_Empty @ 552.09/72.51 c_Empty))))) => 552.09/72.51 (Y1 @ 552.09/72.51 ( 552.09/72.51 ^[Y6 : $i, 552.09/72.51 Y7 : 552.09/72.51 $i > $i > $i]: 552.09/72.51 (Y5)) @ 552.09/72.51 ( 552.09/72.51 c_setsum @ 552.09/72.51 ( 552.09/72.51 Y2 @ 552.09/72.51 ( 552.09/72.51 ^[Y6 : 552.09/72.51 ( 552.09/72.51 $i > $i) > 552.09/72.51 $i > $i]: 552.09/72.51 (Y5))) @ 552.09/72.51 Y4) @ 552.09/72.51 ( 552.09/72.51 c_Inj0 @ 552.09/72.51 ( 552.09/72.51 c_Inj1 @ 552.09/72.51 ( 552.09/72.51 c_setsum @ 552.09/72.51 ( 552.09/72.51 c_setsum @ 552.09/72.51 c_Empty @ 552.09/72.51 c_Empty) @ 552.09/72.51 ( 552.09/72.51 c_setsum @ 552.09/72.51 c_Empty @ 552.09/72.51 c_Empty))))))))))))))))))) => 552.09/72.51 (((((!!) @ (^[Y2 : $i > $i > $i]: 552.09/72.51 (((!!) @ (^[Y3 : $i > $i]: 552.09/72.51 (((!!) @ ( 552.09/72.51 ^[Y4 : $i]: 552.09/72.51 (((!!) @ ( 552.09/72.51 ^[Y5 : $i > $i]: 552.09/72.51 ( 552.09/72.51 ( 552.09/72.51 (c_In @ 552.09/72.51 ( 552.09/72.51 c_Inj0 @ 552.09/72.51 ( 552.09/72.51 c_Inj1 @ 552.09/72.51 c_Empty)) @ 552.09/72.51 ( 552.09/72.51 c_setsum @ 552.09/72.51 ( 552.09/72.51 c_setsum @ 552.09/72.51 ( 552.09/72.51 c_Inj0 @ 552.09/72.51 c_Empty) @ 552.09/72.51 ( 552.09/72.51 c_setsum @ 552.09/72.51 ( 552.09/72.51 c_setsum @ 552.09/72.51 c_Empty @ 552.09/72.51 c_Empty) @ 552.09/72.51 ( 552.09/72.51 c_setsum @ 552.09/72.51 c_Empty @ 552.09/72.51 c_Empty))) @ 552.09/72.51 ( 552.09/72.51 c_setsum @ 552.09/72.51 c_Empty @ 552.09/72.51 ( 552.09/72.51 c_setsum @ 552.09/72.51 ( 552.09/72.51 c_Inj0 @ 552.09/72.51 c_Empty) @ 552.09/72.51 ( 552.09/72.51 Y2 @ 552.09/72.51 c_Empty @ 552.09/72.51 c_Empty))))) => 552.09/72.51 (( 552.09/72.51 (~) @ ( 552.09/72.51 Y0 @ 552.09/72.51 ( 552.09/72.51 ^[Y6 : $i]: 552.09/72.51 (c_Empty)) @ 552.09/72.51 ( 552.09/72.51 ^[Y6 : ( 552.09/72.51 ( 552.09/72.51 $i > $i) > $i) > $i, 552.09/72.51 Y7 : 552.09/72.51 $i > $i > $i, 552.09/72.51 Y8 : $i, 552.09/72.51 Y9 : $i]: 552.09/72.51 (c_Empty)) @ 552.09/72.51 ( 552.09/72.51 c_setsum @ 552.09/72.51 ( 552.09/72.51 c_setsum @ 552.09/72.51 c_Empty @ 552.09/72.51 ( 552.09/72.51 c_setsum @ 552.09/72.51 ( 552.09/72.51 c_setsum @ 552.09/72.51 c_Empty @ 552.09/72.51 c_Empty) @ 552.09/72.51 ( 552.09/72.51 c_Inj0 @ 552.09/72.51 c_Empty))) @ 552.09/72.51 ( 552.09/72.51 c_Inj1 @ 552.09/72.51 Y4))))))))))))))))))) => 552.09/72.51 (((((!!) @ (^[Y2 : $i]: 552.09/72.51 (((!!) @ (^[Y3 : $i > $i]: 552.09/72.51 (((!!) @ ( 552.09/72.51 ^[Y4 : $i > $i]: 552.09/72.51 (((!!) @ ( 552.09/72.51 ^[Y5 : $i]: 552.09/72.51 (( 552.09/72.51 (~) @ ( 552.09/72.51 Y1 @ 552.09/72.51 ( 552.09/72.51 ^[Y6 : $i, 552.09/72.51 Y7 : 552.09/72.51 $i > $i > $i]: 552.09/72.51 (c_Empty)) @ 552.09/72.51 c_Empty @ 552.09/72.51 c_Empty))))))))))))))) => 552.09/72.51 (c_False)))))))))))))))), 552.09/72.51 inference('simplify boolean subterms', [status(thm)], [zip_derived_cl534])). 552.09/72.51 thf(zip_derived_cl621, plain, 552.09/72.51 (![X2 : ($i > $i) > 552.09/72.51 (((($i > $i) > $i) > $i) > ($i > $i > $i) > $i > $i > $i) > $i > $o]: 552.09/72.51 (((!!) @ (^[Y0 : ($i > ($i > $i > $i) > $i) > $i > $i > $o]: 552.09/72.51 (((((!!) @ (^[Y1 : (($i > $i > $i) > ($i > $i) > $i > $i) > $i]: 552.09/72.51 (((!!) @ (^[Y2 : $i]: 552.09/72.51 (((!!) @ (^[Y3 : $i]: 552.09/72.51 (((!!) @ (^[Y4 : $i]: 552.09/72.51 (( 552.09/72.51 (c_In @ 552.09/72.51 ( 552.09/72.51 c_Inj0 @ 552.09/72.51 Y3) @ 552.09/72.51 ( 552.09/72.51 c_setsum @ 552.09/72.51 ( 552.09/72.51 c_setsum @ 552.09/72.51 c_Empty @ 552.09/72.51 c_Empty) @ 552.09/72.51 ( 552.09/72.51 c_setsum @ 552.09/72.51 Y3 @ 552.09/72.51 ( 552.09/72.51 c_Inj0 @ 552.09/72.51 ( 552.09/72.51 c_setsum @ 552.09/72.51 c_Empty @ 552.09/72.51 c_Empty))))) => 552.09/72.51 (( 552.09/72.51 (X2 @ 552.09/72.51 ( 552.09/72.51 ^[Y5 : $i]: 552.09/72.51 (c_Inj0 @ 552.09/72.51 (c_Inj0 @ 552.09/72.51 c_Empty))) @ 552.09/72.51 ( 552.09/72.51 ^[Y5 : ( 552.09/72.51 ( 552.09/72.51 $i > $i) > $i) > $i, 552.09/72.51 Y6 : 552.09/72.51 $i > $i > $i, 552.09/72.51 Y7 : $i, 552.09/72.51 Y8 : $i]: 552.09/72.51 (Y7)) @ 552.09/72.51 ( 552.09/72.51 c_setsum @ 552.09/72.51 ( 552.09/72.51 Y1 @ 552.09/72.51 ( 552.09/72.51 ^[Y5 : 552.09/72.51 $i > $i > $i, 552.09/72.51 Y6 : $i > $i, 552.09/72.51 Y7 : $i]: 552.09/72.51 (c_Inj0 @ 552.09/72.51 (c_setsum @ 552.09/72.51 c_Empty @ 552.09/72.51 c_Empty)))) @ 552.09/72.51 c_Empty)) => 552.09/72.51 (Y0 @ 552.09/72.51 ( 552.09/72.51 ^[Y5 : $i, 552.09/72.51 Y6 : 552.09/72.51 $i > $i > $i]: 552.09/72.51 (c_Inj0 @ 552.09/72.51 Y5)) @ 552.09/72.51 Y2 @ 552.09/72.51 ( 552.09/72.51 c_setsum @ 552.09/72.51 ( 552.09/72.51 c_setsum @ 552.09/72.51 ( 552.09/72.51 c_setsum @ 552.09/72.51 c_Empty @ 552.09/72.51 ( 552.09/72.51 c_setsum @ 552.09/72.51 c_Empty @ 552.09/72.51 c_Empty)) @ 552.09/72.51 ( 552.09/72.51 c_Inj0 @ 552.09/72.51 c_Empty)) @ 552.09/72.51 c_Empty)))))))))))))))))) => 552.09/72.51 (((((!!) @ (^[Y1 : ((($i > $i) > $i > $i) > $i) > $i]: 552.09/72.51 (((!!) @ (^[Y2 : $i > $i]: 552.09/72.51 (((!!) @ (^[Y3 : $i]: 552.09/72.51 (((!!) @ ( 552.09/72.51 ^[Y4 : $i]: 552.09/72.51 (((Y0 @ 552.09/72.51 (^[Y5 : $i, 552.09/72.51 Y6 : 552.09/72.51 $i > $i > $i]: 552.09/72.51 (c_Empty)) @ 552.09/72.51 Y4 @ 552.09/72.51 (c_setsum @ 552.09/72.51 (c_setsum @ 552.09/72.51 ( 552.09/72.51 c_setsum @ 552.09/72.51 ( 552.09/72.51 c_setsum @ 552.09/72.51 c_Empty @ 552.09/72.51 c_Empty) @ 552.09/72.51 c_Empty) @ 552.09/72.51 ( 552.09/72.51 c_setsum @ 552.09/72.51 ( 552.09/72.51 c_setsum @ 552.09/72.51 c_Empty @ 552.09/72.51 c_Empty) @ 552.09/72.51 ( 552.09/72.51 c_Inj0 @ 552.09/72.51 c_Empty))) @ 552.09/72.51 (c_setsum @ 552.09/72.51 c_Empty @ 552.09/72.51 ( 552.09/72.51 c_Inj1 @ 552.09/72.51 ( 552.09/72.51 c_setsum @ 552.09/72.51 c_Empty @ 552.09/72.51 c_Empty))))) => 552.09/72.51 (Y0 @ 552.09/72.51 (^[Y5 : $i, 552.09/72.51 Y6 : 552.09/72.51 $i > $i > $i]: 552.09/72.51 (Y4)) @ 552.09/72.51 (c_setsum @ 552.09/72.51 (Y1 @ 552.09/72.51 ( 552.09/72.51 ^[Y5 : 552.09/72.51 ( 552.09/72.51 $i > $i) > 552.09/72.51 $i > $i]: 552.09/72.51 (Y4))) @ 552.09/72.51 Y3) @ 552.09/72.51 (c_Inj0 @ 552.09/72.51 (c_Inj1 @ 552.09/72.51 ( 552.09/72.51 c_setsum @ 552.09/72.51 ( 552.09/72.51 c_setsum @ 552.09/72.51 c_Empty @ 552.09/72.51 c_Empty) @ 552.09/72.51 ( 552.09/72.51 c_setsum @ 552.09/72.51 c_Empty @ 552.09/72.51 c_Empty))))))))))))))))))) => 552.09/72.51 (((((!!) @ (^[Y1 : $i > $i > $i]: 552.09/72.51 (((!!) @ (^[Y2 : $i > $i]: 552.09/72.51 (((!!) @ (^[Y3 : $i]: 552.09/72.51 (((!!) @ ( 552.09/72.51 ^[Y4 : $i > $i]: 552.09/72.51 (((c_In @ 552.09/72.51 ( 552.09/72.51 c_Inj0 @ 552.09/72.51 ( 552.09/72.51 c_Inj1 @ 552.09/72.51 c_Empty)) @ 552.09/72.51 ( 552.09/72.51 c_setsum @ 552.09/72.51 ( 552.09/72.51 c_setsum @ 552.09/72.51 ( 552.09/72.51 c_Inj0 @ 552.09/72.51 c_Empty) @ 552.09/72.51 ( 552.09/72.51 c_setsum @ 552.09/72.51 ( 552.09/72.51 c_setsum @ 552.09/72.51 c_Empty @ 552.09/72.51 c_Empty) @ 552.09/72.51 ( 552.09/72.51 c_setsum @ 552.09/72.51 c_Empty @ 552.09/72.51 c_Empty))) @ 552.09/72.51 ( 552.09/72.51 c_setsum @ 552.09/72.51 c_Empty @ 552.09/72.51 ( 552.09/72.51 c_setsum @ 552.09/72.51 ( 552.09/72.51 c_Inj0 @ 552.09/72.51 c_Empty) @ 552.09/72.51 ( 552.09/72.51 Y1 @ 552.09/72.51 c_Empty @ 552.09/72.51 c_Empty))))) => 552.09/72.51 (( 552.09/72.51 (~) @ ( 552.09/72.51 X2 @ 552.09/72.51 ( 552.09/72.51 ^[Y5 : $i]: 552.09/72.51 (c_Empty)) @ 552.09/72.51 ( 552.09/72.51 ^[Y5 : ( 552.09/72.51 ( 552.09/72.51 $i > $i) > $i) > $i, 552.09/72.51 Y6 : 552.09/72.51 $i > $i > $i, 552.09/72.51 Y7 : $i, 552.09/72.51 Y8 : $i]: 552.09/72.51 (c_Empty)) @ 552.09/72.51 ( 552.09/72.51 c_setsum @ 552.09/72.51 ( 552.09/72.51 c_setsum @ 552.09/72.51 c_Empty @ 552.09/72.51 ( 552.09/72.51 c_setsum @ 552.09/72.51 ( 552.09/72.51 c_setsum @ 552.09/72.51 c_Empty @ 552.09/72.51 c_Empty) @ 552.09/72.51 ( 552.09/72.51 c_Inj0 @ 552.09/72.51 c_Empty))) @ 552.09/72.51 ( 552.09/72.51 c_Inj1 @ 552.09/72.51 Y3))))))))))))))))))) => 552.09/72.51 (((((!!) @ (^[Y1 : $i]: 552.09/72.51 (((!!) @ (^[Y2 : $i > $i]: 552.09/72.51 (((!!) @ (^[Y3 : $i > $i]: 552.09/72.51 (((!!) @ ( 552.09/72.51 ^[Y4 : $i]: 552.09/72.51 ( 552.09/72.51 ( 552.09/72.51 (~) @ ( 552.09/72.51 Y0 @ 552.09/72.51 ( 552.09/72.51 ^[Y5 : $i, 552.09/72.51 Y6 : 552.09/72.51 $i > $i > $i]: 552.09/72.51 (c_Empty)) @ 552.09/72.51 c_Empty @ 552.09/72.51 c_Empty))))))))))))))) => 552.09/72.51 (c_False))))))))))))), 552.09/72.51 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl620])). 552.09/72.51 thf(zip_derived_cl623, plain, 552.09/72.51 ( (((!!) @ (^[Y0 : ($i > ($i > $i > $i) > $i) > $i > $i > $o]: 552.09/72.51 (((((!!) @ (^[Y1 : (($i > $i > $i) > ($i > $i) > $i > $i) > $i]: 552.09/72.51 (((!!) @ (^[Y2 : $i]: 552.09/72.51 (((!!) @ (^[Y3 : $i]: 552.09/72.51 (((!!) @ (^[Y4 : $i]: 552.09/72.51 ( 552.09/72.51 ( 552.09/72.51 (c_In @ 552.09/72.51 ( 552.09/72.51 c_Inj0 @ 552.09/72.51 Y3) @ 552.09/72.51 ( 552.09/72.51 c_setsum @ 552.09/72.51 ( 552.09/72.51 c_setsum @ 552.09/72.51 c_Empty @ 552.09/72.51 c_Empty) @ 552.09/72.51 ( 552.09/72.51 c_setsum @ 552.09/72.51 Y3 @ 552.09/72.51 ( 552.09/72.51 c_Inj0 @ 552.09/72.51 ( 552.09/72.51 c_setsum @ 552.09/72.51 c_Empty @ 552.09/72.51 c_Empty))))) => 552.09/72.51 (( 552.09/72.51 ($false) => 552.09/72.51 (Y0 @ 552.09/72.51 ( 552.09/72.51 ^[Y5 : $i, 552.09/72.51 Y6 : 552.09/72.51 $i > $i > $i]: 552.09/72.51 (c_Inj0 @ 552.09/72.51 Y5)) @ 552.09/72.51 Y2 @ 552.09/72.51 ( 552.09/72.51 c_setsum @ 552.09/72.51 ( 552.09/72.51 c_setsum @ 552.09/72.51 ( 552.09/72.51 c_setsum @ 552.09/72.51 c_Empty @ 552.09/72.51 ( 552.09/72.51 c_setsum @ 552.09/72.51 c_Empty @ 552.09/72.51 c_Empty)) @ 552.09/72.51 ( 552.09/72.51 c_Inj0 @ 552.09/72.51 c_Empty)) @ 552.09/72.51 c_Empty)))))))))))))))))) => 552.09/72.51 (((((!!) @ (^[Y1 : ((($i > $i) > $i > $i) > $i) > $i]: 552.09/72.51 (((!!) @ (^[Y2 : $i > $i]: 552.09/72.51 (((!!) @ (^[Y3 : $i]: 552.09/72.51 (((!!) @ (^[Y4 : $i]: 552.09/72.51 (( 552.09/72.51 (Y0 @ 552.09/72.51 ( 552.09/72.51 ^[Y5 : $i, 552.09/72.51 Y6 : 552.09/72.51 $i > $i > $i]: 552.09/72.51 (c_Empty)) @ 552.09/72.51 Y4 @ 552.09/72.51 ( 552.09/72.51 c_setsum @ 552.09/72.51 ( 552.09/72.51 c_setsum @ 552.09/72.51 ( 552.09/72.51 c_setsum @ 552.09/72.51 ( 552.09/72.51 c_setsum @ 552.09/72.51 c_Empty @ 552.09/72.51 c_Empty) @ 552.09/72.51 c_Empty) @ 552.09/72.51 ( 552.09/72.51 c_setsum @ 552.09/72.51 ( 552.09/72.51 c_setsum @ 552.09/72.51 c_Empty @ 552.09/72.51 c_Empty) @ 552.09/72.51 ( 552.09/72.51 c_Inj0 @ 552.09/72.51 c_Empty))) @ 552.09/72.51 ( 552.09/72.51 c_setsum @ 552.09/72.51 c_Empty @ 552.09/72.51 ( 552.09/72.51 c_Inj1 @ 552.09/72.51 ( 552.09/72.51 c_setsum @ 552.09/72.51 c_Empty @ 552.09/72.51 c_Empty))))) => 552.09/72.51 (Y0 @ 552.09/72.51 ( 552.09/72.51 ^[Y5 : $i, 552.09/72.51 Y6 : 552.09/72.51 $i > $i > $i]: 552.09/72.51 (Y4)) @ 552.09/72.51 ( 552.09/72.51 c_setsum @ 552.09/72.51 ( 552.09/72.51 Y1 @ 552.09/72.51 ( 552.09/72.51 ^[Y5 : 552.09/72.51 ( 552.09/72.51 $i > $i) > 552.09/72.51 $i > $i]: 552.09/72.51 (Y4))) @ 552.09/72.51 Y3) @ 552.09/72.51 ( 552.09/72.51 c_Inj0 @ 552.09/72.51 ( 552.09/72.51 c_Inj1 @ 552.09/72.51 ( 552.09/72.51 c_setsum @ 552.09/72.51 ( 552.09/72.51 c_setsum @ 552.09/72.51 c_Empty @ 552.09/72.51 c_Empty) @ 552.09/72.51 ( 552.09/72.51 c_setsum @ 552.09/72.51 c_Empty @ 552.09/72.51 c_Empty))))))))))))))))))) => 552.09/72.51 (((((!!) @ (^[Y1 : $i > $i > $i]: 552.09/72.51 (((!!) @ (^[Y2 : $i > $i]: 552.09/72.51 (((!!) @ (^[Y3 : $i]: 552.09/72.51 (((!!) @ ( 552.09/72.51 ^[Y4 : $i > $i]: 552.09/72.51 (((c_In @ 552.09/72.51 (c_Inj0 @ 552.09/72.51 (c_Inj1 @ 552.09/72.51 c_Empty)) @ 552.09/72.51 (c_setsum @ 552.09/72.51 (c_setsum @ 552.09/72.51 ( 552.09/72.51 c_Inj0 @ 552.09/72.51 c_Empty) @ 552.09/72.51 ( 552.09/72.51 c_setsum @ 552.09/72.51 ( 552.09/72.51 c_setsum @ 552.09/72.51 c_Empty @ 552.09/72.51 c_Empty) @ 552.09/72.51 ( 552.09/72.51 c_setsum @ 552.09/72.51 c_Empty @ 552.09/72.51 c_Empty))) @ 552.09/72.51 (c_setsum @ 552.09/72.51 c_Empty @ 552.09/72.51 ( 552.09/72.51 c_setsum @ 552.09/72.51 ( 552.09/72.51 c_Inj0 @ 552.09/72.51 c_Empty) @ 552.09/72.51 ( 552.09/72.51 Y1 @ 552.09/72.51 c_Empty @ 552.09/72.51 c_Empty))))) => 552.09/72.51 (((~) @ ( 552.09/72.51 $false))))))))))))))))) => 552.09/72.51 (((((!!) @ (^[Y1 : $i]: 552.09/72.51 (((!!) @ (^[Y2 : $i > $i]: 552.09/72.51 (((!!) @ (^[Y3 : $i > $i]: 552.09/72.51 (((!!) @ ( 552.09/72.51 ^[Y4 : $i]: 552.09/72.51 (((~) @ ( 552.09/72.51 Y0 @ 552.09/72.51 ( 552.09/72.51 ^[Y5 : $i, 552.09/72.51 Y6 : 552.09/72.51 $i > $i > $i]: 552.09/72.51 (c_Empty)) @ 552.09/72.51 c_Empty @ 552.09/72.51 c_Empty))))))))))))))) => 552.09/72.51 (c_False))))))))))))), 552.09/72.51 inference('ho.refine.early.bird', [status(thm)], [zip_derived_cl621])). 552.09/72.51 thf(zip_derived_cl655, plain, 552.09/72.51 ( (((!!) @ (^[Y0 : ($i > ($i > $i > $i) > $i) > $i > $i > $o]: 552.09/72.51 (((((!!) @ (^[Y1 : ((($i > $i) > $i > $i) > $i) > $i]: 552.09/72.51 (((!!) @ (^[Y2 : $i > $i]: 552.09/72.51 (((!!) @ (^[Y3 : $i]: 552.09/72.51 (((!!) @ (^[Y4 : $i]: 552.09/72.51 ( 552.09/72.51 ( 552.09/72.51 (Y0 @ 552.09/72.51 ( 552.09/72.51 ^[Y5 : $i, 552.09/72.51 Y6 : 552.09/72.51 $i > $i > $i]: 552.09/72.51 (c_Empty)) @ 552.09/72.51 Y4 @ 552.09/72.51 ( 552.09/72.51 c_setsum @ 552.09/72.51 ( 552.09/72.51 c_setsum @ 552.09/72.51 ( 552.09/72.51 c_setsum @ 552.09/72.51 ( 552.09/72.51 c_setsum @ 552.09/72.51 c_Empty @ 552.09/72.51 c_Empty) @ 552.09/72.51 c_Empty) @ 552.09/72.51 ( 552.09/72.51 c_setsum @ 552.09/72.51 ( 552.09/72.51 c_setsum @ 552.09/72.51 c_Empty @ 552.09/72.51 c_Empty) @ 552.09/72.51 ( 552.09/72.51 c_Inj0 @ 552.09/72.51 c_Empty))) @ 552.09/72.51 ( 552.09/72.51 c_setsum @ 552.09/72.51 c_Empty @ 552.09/72.51 ( 552.09/72.51 c_Inj1 @ 552.09/72.51 ( 552.09/72.51 c_setsum @ 552.09/72.51 c_Empty @ 552.09/72.51 c_Empty))))) => 552.09/72.51 (Y0 @ 552.09/72.51 ( 552.09/72.51 ^[Y5 : $i, 552.09/72.51 Y6 : 552.09/72.51 $i > $i > $i]: 552.09/72.51 (Y4)) @ 552.09/72.51 ( 552.09/72.51 c_setsum @ 552.09/72.51 ( 552.09/72.51 Y1 @ 552.09/72.51 ( 552.09/72.51 ^[Y5 : 552.09/72.51 ( 552.09/72.51 $i > $i) > 552.09/72.51 $i > $i]: 552.09/72.51 (Y4))) @ 552.09/72.51 Y3) @ 552.09/72.51 ( 552.09/72.51 c_Inj0 @ 552.09/72.51 ( 552.09/72.51 c_Inj1 @ 552.09/72.51 ( 552.09/72.51 c_setsum @ 552.09/72.51 ( 552.09/72.51 c_setsum @ 552.09/72.51 c_Empty @ 552.09/72.51 c_Empty) @ 552.09/72.51 ( 552.09/72.51 c_setsum @ 552.09/72.51 c_Empty @ 552.09/72.51 c_Empty))))))))))))))))))) => 552.09/72.51 (((((!!) @ (^[Y1 : $i]: 552.09/72.51 (((!!) @ (^[Y2 : $i > $i]: 552.09/72.51 (((!!) @ (^[Y3 : $i > $i]: 552.09/72.51 (((!!) @ (^[Y4 : $i]: 552.09/72.51 (( 552.09/72.51 (~) @ ( 552.09/72.51 Y0 @ 552.09/72.51 ( 552.09/72.51 ^[Y5 : $i, 552.09/72.51 Y6 : 552.09/72.51 $i > $i > $i]: 552.09/72.51 (c_Empty)) @ 552.09/72.51 c_Empty @ 552.09/72.51 c_Empty))))))))))))))) => 552.09/72.51 (c_False))))))))), 552.09/72.51 inference('simplify boolean subterms', [status(thm)], [zip_derived_cl623])). 552.09/72.51 thf(zip_derived_cl656, plain, 552.09/72.51 (![X2 : ($i > ($i > $i > $i) > $i) > $i > $i > $o]: 552.09/72.51 (((((!!) @ (^[Y0 : ((($i > $i) > $i > $i) > $i) > $i]: 552.09/72.51 (((!!) @ (^[Y1 : $i > $i]: 552.09/72.51 (((!!) @ (^[Y2 : $i]: 552.09/72.51 (((!!) @ (^[Y3 : $i]: 552.09/72.51 (((X2 @ 552.09/72.51 (^[Y4 : $i, 552.09/72.51 Y5 : $i > $i > $i]: 552.09/72.51 (c_Empty)) @ 552.09/72.51 Y3 @ 552.09/72.51 (c_setsum @ 552.09/72.51 (c_setsum @ 552.09/72.51 (c_setsum @ 552.09/72.51 (c_setsum @ 552.09/72.51 c_Empty @ 552.09/72.51 c_Empty) @ 552.09/72.51 c_Empty) @ 552.09/72.51 (c_setsum @ 552.09/72.51 (c_setsum @ 552.09/72.51 c_Empty @ 552.09/72.51 c_Empty) @ 552.09/72.51 (c_Inj0 @ 552.09/72.51 c_Empty))) @ 552.09/72.51 (c_setsum @ 552.09/72.51 c_Empty @ 552.09/72.51 (c_Inj1 @ 552.09/72.51 (c_setsum @ 552.09/72.51 c_Empty @ 552.09/72.51 c_Empty))))) => 552.09/72.51 (X2 @ 552.09/72.51 (^[Y4 : $i, 552.09/72.51 Y5 : $i > $i > $i]: 552.09/72.51 (Y3)) @ 552.09/72.51 (c_setsum @ 552.09/72.51 (Y0 @ 552.09/72.51 (^[Y4 : 552.09/72.51 ($i > $i) > 552.09/72.51 $i > $i]: 552.09/72.51 (Y3))) @ 552.09/72.51 Y2) @ 552.09/72.51 (c_Inj0 @ 552.09/72.51 (c_Inj1 @ 552.09/72.51 (c_setsum @ 552.09/72.51 (c_setsum @ 552.09/72.51 c_Empty @ 552.09/72.51 c_Empty) @ 552.09/72.51 (c_setsum @ 552.09/72.51 c_Empty @ 552.09/72.51 c_Empty))))))))))))))))))) => 552.09/72.51 (((((!!) @ (^[Y0 : $i]: 552.09/72.51 (((!!) @ (^[Y1 : $i > $i]: 552.09/72.51 (((!!) @ (^[Y2 : $i > $i]: 552.09/72.51 (((!!) @ (^[Y3 : $i]: 552.09/72.51 (((~) @ ( 552.09/72.51 X2 @ 552.09/72.51 (^[Y4 : $i, 552.09/72.51 Y5 : 552.09/72.51 $i > $i > $i]: 552.09/72.51 (c_Empty)) @ 552.09/72.51 c_Empty @ 552.09/72.51 c_Empty))))))))))))))) => 552.09/72.51 (c_False)))))), 552.09/72.51 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl655])). 552.09/72.51 thf(zip_derived_cl658, plain, 552.09/72.51 ( (((((!!) @ (^[Y0 : ((($i > $i) > $i > $i) > $i) > $i]: 552.09/72.51 (((!!) @ (^[Y1 : $i > $i]: 552.09/72.51 (((!!) @ (^[Y2 : $i]: 552.09/72.51 (((!!) @ (^[Y3 : $i]: 552.09/72.51 ((($false) => 552.09/72.51 ($false))))))))))))))) => 552.09/72.51 (((((!!) @ (^[Y0 : $i]: 552.09/72.51 (((!!) @ (^[Y1 : $i > $i]: 552.09/72.51 (((!!) @ (^[Y2 : $i > $i]: 552.09/72.51 (((!!) @ (^[Y3 : $i]: 552.09/72.51 (((~) @ ($false))))))))))))))) => 552.09/72.51 (c_False)))))), 552.09/72.51 inference('ho.refine.early.bird', [status(thm)], [zip_derived_cl656])). 552.09/72.51 thf(zip_derived_cl732, plain, ( (c_False)), 552.09/72.51 inference('simplify boolean subterms', [status(thm)], [zip_derived_cl658])). 552.09/72.51 thf(zip_derived_cl733, plain, ($false), 552.09/72.51 inference('demod', [status(thm)], [zip_derived_cl26, zip_derived_cl732])). 552.09/72.51 552.09/72.51 % SZS output end Refutation 552.09/72.51 552.09/72.51 552.09/72.51 % Terminating... 552.75/72.62 % Runner terminated. 552.75/72.63 % Zipperpin 1.5 exiting 552.75/72.63 EOF