0.06/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.06/0.15 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.CNSVtfYaud true 0.15/0.36 % Computer : n002.cluster.edu 0.15/0.36 % Model : x86_64 x86_64 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.15/0.36 % Memory : 8042.1875MB 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64 0.15/0.36 % CPULimit : 1920 0.15/0.36 % WCLimit : 240 0.15/0.36 % DateTime : Wed Jul 30 07:41:04 EDT 2025 0.15/0.36 % CPUTime : 0.15/0.36 % Running portfolio for 1920 s 0.15/0.36 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p 0.15/0.36 % Number of cores: 8 0.15/0.37 % Python version: Python 3.6.8 0.15/0.37 % Running in HO mode 0.52/0.66 % Total configuration time : 828 0.52/0.66 % Estimated wc time : 1656 0.52/0.66 % Estimated cpu time (8 cpus) : 207.0 0.53/0.73 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s 0.53/0.73 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s 0.53/0.73 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s 0.53/0.73 % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s 0.53/0.75 % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s 0.54/0.76 % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s 0.54/0.77 % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s 0.54/0.80 % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s 0.54/0.89 % /export/starexec/sandbox2/solver/bin/lams/30_b.l.sh running for 90s 236.45/30.61 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif.sh running for 56s 475.37/60.91 % /export/starexec/sandbox2/solver/bin/lams/15_old_s4.sh running for 30s 560.36/71.88 % /export/starexec/sandbox2/solver/bin/lams/15_lifting3.sh running for 30s 629.54/80.61 % /export/starexec/sandbox2/solver/bin/lams/33_shallow_sine.sh running for 66s 629.72/80.79 % /export/starexec/sandbox2/solver/bin/lams/40_e_lift.sh running for 80s 629.72/80.81 % /export/starexec/sandbox2/solver/bin/lams/15_lifting1.sh running for 30s 675.39/86.69 % /export/starexec/sandbox2/solver/bin/lams/8_new_cnf.sh running for 16s 675.39/86.76 % /export/starexec/sandbox2/solver/bin/lams/10_e_short2.sh running for 20s 706.23/90.59 % /export/starexec/sandbox2/solver/bin/lams/8_add_var_l_av.sh running for 16s 706.99/90.80 % /export/starexec/sandbox2/solver/bin/lams/8_new_sh_or.sh running for 16s 710.12/91.12 % /export/starexec/sandbox2/solver/bin/lams/30_old_zip1.sh running for 36s 794.30/101.88 % /export/starexec/sandbox2/solver/bin/lams/10_shallow_lift.sh running for 30s 830.97/106.44 % /export/starexec/sandbox2/solver/bin/lams/15_lcnf_noform.sh running for 30s 833.06/106.71 % /export/starexec/sandbox2/solver/bin/lams/8_sh.eqenc2.sh running for 10s 836.64/107.30 % /export/starexec/sandbox2/solver/bin/lams/8_cmb.lcnf4.sh running for 10s 863.00/110.66 % /export/starexec/sandbox2/solver/bin/lams/8_new_l_av.sh running for 24s 909.75/116.54 % /export/starexec/sandbox2/solver/bin/lams/10_forms1.sh running for 20s 910.48/116.61 % /export/starexec/sandbox2/solver/bin/lams/10_forms4.sh running for 20s 916.05/117.37 % /export/starexec/sandbox2/solver/bin/lams/15_ch_av2.sh running for 26s 930.56/119.29 % Solved by lams/15_ch_av2.sh. 930.56/119.29 % done 130 iterations in 1.792s 930.56/119.29 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p' 930.56/119.29 % SZS output start Refutation 930.56/119.29 thf(c_Empty_type, type, c_Empty: $i). 930.56/119.29 thf(c_In_type, type, c_In: $i > $i > $o). 930.56/119.29 thf(c_Inj1_type, type, c_Inj1: $i > $i). 930.56/119.29 thf(c_setsum_type, type, c_setsum: $i > $i > $i). 930.56/119.29 thf(c_Inj0_type, type, c_Inj0: $i > $i). 930.56/119.29 thf(c_not_type, type, c_not: $o > $o). 930.56/119.29 thf(c_False_type, type, c_False: $o). 930.56/119.29 thf(ax11, axiom, (( c_False ) <=> ( ![X0:$o]: ( X0 ) ))). 930.56/119.29 thf(zip_derived_cl5, plain, (((c_False) = (((!!) @ (^[Y0 : $o]: (Y0)))))), 930.56/119.29 inference('cnf', [status(esa)], [ax11])). 930.56/119.29 thf(zip_derived_cl14, plain, 930.56/119.29 ((~ (c_False) | (((!!) @ (^[Y0 : $o]: (Y0)))))), 930.56/119.29 inference('lazy_cnf_equiv', [status(thm)], [zip_derived_cl5])). 930.56/119.29 thf(zip_derived_cl24, plain, (![X2 : $o]: ( (X2) | ~ (c_False))), 930.56/119.29 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl14])). 930.56/119.29 thf(zip_derived_cl26, plain, (~ (c_False)), 930.56/119.29 inference('ho.refine.early.bird', [status(thm)], [zip_derived_cl24])). 930.56/119.29 thf(conj, conjecture, 930.56/119.29 (c_not @ 930.56/119.29 ( ![X0:( ( $i > $i > ( ( $i > $i ) > $i > $i ) > $i ) > $i > $i > $o ), 930.56/119.29 X1:( ( $i > ( ( $i > $i ) > $i ) > $i ) > $i > $o ), 930.56/119.29 X2:( ( $i > $i ) > 930.56/119.29 ( ( ( ( $i > $i ) > $i ) > $i ) > ( $i > $i > $i ) > $i > $i > $i ) > 930.56/119.29 $i > $o ), 930.56/119.29 X3:( ( $i > ( $i > $i > $i ) > $i ) > $i > $i > $o )]: 930.56/119.29 ( ( ![X4:( ( ( $i > $i > $i ) > ( $i > $i ) > $i > $i ) > $i ),X5:$i, 930.56/119.29 X6:$i,X7:$i]: 930.56/119.29 ( ( c_In @ 930.56/119.29 ( c_Inj0 @ X6 ) @ 930.56/119.29 ( c_setsum @ 930.56/119.29 ( c_setsum @ c_Empty @ c_Empty ) @ 930.56/119.29 ( c_setsum @ 930.56/119.29 X6 @ ( c_Inj0 @ ( c_setsum @ c_Empty @ c_Empty ) ) ) ) ) => 930.56/119.29 ( ( X2 @ 930.56/119.29 ( ^[X8:$i]: ( c_Inj0 @ ( c_Inj0 @ c_Empty ) ) ) @ 930.56/119.29 ( ^[X8:( ( ( $i > $i ) > $i ) > $i ),X9:( $i > $i > $i ), 930.56/119.29 X10:$i,X11:$i]: 930.56/119.29 ( X10 ) ) @ 930.56/119.29 ( c_setsum @ 930.56/119.29 ( X4 @ 930.56/119.29 ( ^[X8:( $i > $i > $i ),X9:( $i > $i ),X10:$i]: 930.56/119.29 ( c_Inj0 @ ( c_setsum @ c_Empty @ c_Empty ) ) ) ) @ 930.56/119.29 c_Empty ) ) => 930.56/119.29 ( X3 @ 930.56/119.29 ( ^[X8:$i,X9:( $i > $i > $i )]: ( c_Inj0 @ X8 ) ) @ X5 @ 930.56/119.29 ( c_setsum @ 930.56/119.29 ( c_setsum @ 930.56/119.29 ( c_setsum @ c_Empty @ ( c_setsum @ c_Empty @ c_Empty ) ) @ 930.56/119.29 ( c_Inj0 @ c_Empty ) ) @ 930.56/119.29 c_Empty ) ) ) ) ) => 930.56/119.29 ( ( ![X4:( ( ( ( $i > $i ) > $i > $i ) > $i ) > $i ),X5:( $i > $i ), 930.56/119.29 X6:$i,X7:$i]: 930.56/119.29 ( ( X3 @ 930.56/119.29 ( ^[X8:$i,X9:( $i > $i > $i )]: ( c_Empty ) ) @ X7 @ 930.56/119.29 ( c_setsum @ 930.56/119.29 ( c_setsum @ 930.56/119.29 ( c_setsum @ ( c_setsum @ c_Empty @ c_Empty ) @ c_Empty ) @ 930.56/119.29 ( c_setsum @ 930.56/119.29 ( c_setsum @ c_Empty @ c_Empty ) @ ( c_Inj0 @ c_Empty ) ) ) @ 930.56/119.29 ( c_setsum @ 930.56/119.29 c_Empty @ ( c_Inj1 @ ( c_setsum @ c_Empty @ c_Empty ) ) ) ) ) => 930.56/119.29 ( X3 @ 930.56/119.29 ( ^[X8:$i,X9:( $i > $i > $i )]: ( X7 ) ) @ 930.56/119.29 ( c_setsum @ 930.56/119.29 ( X4 @ ( ^[X8:( ( $i > $i ) > $i > $i )]: ( X7 ) ) ) @ X6 ) @ 930.56/119.29 ( c_Inj0 @ 930.56/119.29 ( c_Inj1 @ 930.56/119.29 ( c_setsum @ 930.56/119.29 ( c_setsum @ c_Empty @ c_Empty ) @ 930.56/119.29 ( c_setsum @ c_Empty @ c_Empty ) ) ) ) ) ) ) => 930.56/119.29 ( ( ![X4:$i,X5:( $i > ( ( $i > $i ) > $i > $i ) > $i ), 930.56/119.29 X6:( ( ( ( $i > $i ) > $i > $i ) > ( $i > $i ) > $i > $i ) > 930.56/119.29 ( $i > $i > $i ) > $i ), 930.56/119.29 X7:$i]: 930.56/119.29 ( ( c_In @ 930.56/119.29 ( c_Inj0 @ c_Empty ) @ 930.56/119.29 ( c_setsum @ 930.56/119.29 c_Empty @ 930.56/119.29 ( X5 @ 930.56/119.29 ( c_Inj0 @ ( c_setsum @ c_Empty @ c_Empty ) ) @ 930.56/119.29 ( ^[X8:( $i > $i ),X9:$i]: ( c_Inj0 @ c_Empty ) ) ) ) ) => 930.56/119.29 ( ( X0 @ 930.56/119.29 ( ^[X8:$i,X9:$i,X10:( ( $i > $i ) > $i > $i )]: ( X8 ) ) @ 930.56/119.29 X7 @ 930.56/119.29 ( X6 @ 930.56/119.29 ( ^[X8:( ( $i > $i ) > $i > $i ),X9:( $i > $i ),X10:$i]: 930.56/119.29 ( c_Inj1 @ c_Empty ) ) @ 930.56/119.29 ( ^[X8:$i,X9:$i]: ( c_Empty ) ) ) ) => 930.56/119.29 ( X2 @ 930.56/119.29 ( ^[X8:$i]: ( X8 ) ) @ 930.56/119.29 ( ^[X8:( ( ( $i > $i ) > $i ) > $i ),X9:( $i > $i > $i ), 930.56/119.29 X10:$i,X11:$i]: 930.56/119.29 ( X10 ) ) @ 930.56/119.29 ( c_setsum @ 930.56/119.29 ( c_Inj0 @ c_Empty ) @ 930.56/119.29 ( X6 @ 930.56/119.29 ( ^[X8:( ( $i > $i ) > $i > $i ),X9:( $i > $i ),X10:$i]: 930.56/119.29 ( c_Inj0 @ c_Empty ) ) @ 930.56/119.29 ( ^[X8:$i,X9:$i]: ( X9 ) ) ) ) ) ) ) ) => 930.56/119.29 ( ( ![X4:( $i > $i > $i ),X5:( $i > $i ),X6:$i,X7:( $i > $i )]: 930.56/119.29 ( ( c_In @ 930.56/119.29 ( c_Inj0 @ ( c_Inj1 @ c_Empty ) ) @ 930.56/119.29 ( c_setsum @ 930.56/119.29 ( c_setsum @ 930.56/119.29 ( c_Inj0 @ c_Empty ) @ 930.56/119.29 ( c_setsum @ 930.56/119.29 ( c_setsum @ c_Empty @ c_Empty ) @ 930.56/119.29 ( c_setsum @ c_Empty @ c_Empty ) ) ) @ 930.56/119.29 ( c_setsum @ 930.56/119.29 c_Empty @ 930.56/119.29 ( c_setsum @ 930.56/119.29 ( c_Inj0 @ c_Empty ) @ ( X4 @ c_Empty @ c_Empty ) ) ) ) ) => 930.56/119.29 ( ( X2 @ 930.56/119.29 ( ^[X8:$i]: ( c_Empty ) ) @ 930.56/119.29 ( ^[X8:( ( ( $i > $i ) > $i ) > $i ), 930.56/119.29 X9:( $i > $i > $i ),X10:$i,X11:$i]: 930.56/119.29 ( c_Empty ) ) @ 930.56/119.29 ( c_setsum @ 930.56/119.29 ( c_setsum @ 930.56/119.29 c_Empty @ 930.56/119.29 ( c_setsum @ 930.56/119.29 ( c_setsum @ c_Empty @ c_Empty ) @ 930.56/119.29 ( c_Inj0 @ c_Empty ) ) ) @ 930.56/119.29 ( c_Inj1 @ X6 ) ) ) => 930.56/119.29 ( X1 @ 930.56/119.29 ( ^[X8:$i,X9:( ( $i > $i ) > $i )]: ( c_Inj0 @ c_Empty ) ) @ 930.56/119.29 ( X4 @ 930.56/119.29 c_Empty @ 930.56/119.29 ( X5 @ ( c_setsum @ ( c_Inj1 @ c_Empty ) @ c_Empty ) ) ) ) ) ) ) => 930.56/119.29 ( ( ![X4:$i,X5:( $i > $i ),X6:( $i > $i ),X7:$i]: 930.56/119.29 ( ( X3 @ 930.56/119.29 ( ^[X8:$i,X9:( $i > $i > $i )]: ( c_Empty ) ) @ 930.56/119.29 c_Empty @ c_Empty ) => 930.56/119.29 ( X1 @ 930.56/119.29 ( ^[X8:$i,X9:( ( $i > $i ) > $i )]: 930.56/119.29 ( X9 @ 930.56/119.29 ( ^[X10:$i]: 930.56/119.29 ( c_setsum @ 930.56/119.29 ( c_Inj1 @ ( c_Inj0 @ c_Empty ) ) @ 930.56/119.29 ( c_setsum @ c_Empty @ c_Empty ) ) ) ) ) @ 930.56/119.29 c_Empty ) ) ) => 930.56/119.29 ( ( ![X4:$i,X5:$i,X6:$i,X7:$i]: 930.56/119.29 ( ( c_In @ 930.56/119.29 ( c_Inj0 @ X6 ) @ 930.56/119.29 ( c_setsum @ 930.56/119.29 ( c_setsum @ 930.56/119.29 X4 @ 930.56/119.29 ( c_setsum @ X5 @ ( c_setsum @ c_Empty @ c_Empty ) ) ) @ 930.56/119.29 ( c_Inj1 @ ( c_setsum @ X5 @ c_Empty ) ) ) ) => 930.56/119.29 ( ( X1 @ 930.56/119.29 ( ^[X8:$i,X9:( ( $i > $i ) > $i )]: ( X7 ) ) @ 930.56/119.29 c_Empty ) => 930.56/119.29 ( X2 @ 930.56/119.29 ( ^[X8:$i]: ( c_Empty ) ) @ 930.56/119.29 ( ^[X8:( ( ( $i > $i ) > $i ) > $i ), 930.56/119.29 X9:( $i > $i > $i ),X10:$i,X11:$i]: 930.56/119.29 ( c_setsum @ c_Empty @ c_Empty ) ) @ 930.56/119.29 X5 ) ) ) ) => 930.56/119.29 ( ( ![X4:( ( ( ( $i > $i ) > $i > $i ) > $i ) > $i ),X5:$i, 930.56/119.29 X6:$i,X7:$i]: 930.56/119.29 ( ( c_In @ ( c_Inj1 @ c_Empty ) @ X5 ) => 930.56/119.29 ( ( X1 @ 930.56/119.29 ( ^[X8:$i,X9:( ( $i > $i ) > $i )]: ( c_Empty ) ) @ 930.56/119.29 c_Empty ) => 930.56/119.29 ( X0 @ 930.56/119.29 ( ^[X8:$i,X9:$i,X10:( ( $i > $i ) > $i > $i )]: 930.56/119.29 ( c_Inj1 @ c_Empty ) ) @ 930.56/119.29 ( c_Inj1 @ 930.56/119.29 ( c_Inj1 @ 930.56/119.29 ( X4 @ 930.56/119.29 ( ^[X8:( ( $i > $i ) > $i > $i )]: 930.56/119.29 ( c_Empty ) ) ) ) ) @ 930.56/119.29 ( c_Inj1 @ 930.56/119.29 ( c_setsum @ 930.56/119.29 ( c_setsum @ ( c_Inj0 @ c_Empty ) @ c_Empty ) @ 930.56/119.29 ( c_Inj1 @ ( c_Inj0 @ c_Empty ) ) ) ) ) ) ) ) => 930.56/119.29 ( ( ![X4:( $i > $i ),X5:$i,X6:( $i > $i ),X7:$i]: 930.56/119.29 ( ( X0 @ 930.56/119.29 ( ^[X8:$i,X9:$i,X10:( ( $i > $i ) > $i > $i )]: 930.56/119.29 ( c_Empty ) ) @ 930.56/119.29 ( X4 @ c_Empty ) @ X7 ) => 930.56/119.29 ( c_False ) ) ) => 930.56/119.29 ( c_False ) ) ) ) ) ) ) ) ) ))). 930.56/119.29 thf(zf_stmt_0, negated_conjecture, 930.56/119.29 (~( c_not @ 930.56/119.29 ( ![X0:( ( $i > $i > ( ( $i > $i ) > $i > $i ) > $i ) > $i > $i > $o ), 930.56/119.29 X1:( ( $i > ( ( $i > $i ) > $i ) > $i ) > $i > $o ), 930.56/119.29 X2:( ( $i > $i ) > 930.56/119.29 ( ( ( ( $i > $i ) > $i ) > $i ) > ( $i > $i > $i ) > $i > $i > 930.56/119.29 $i ) > 930.56/119.29 $i > $o ), 930.56/119.29 X3:( ( $i > ( $i > $i > $i ) > $i ) > $i > $i > $o )]: 930.56/119.29 ( ( ![X4:( ( ( $i > $i > $i ) > ( $i > $i ) > $i > $i ) > $i ),X5:$i, 930.56/119.29 X6:$i,X7:$i]: 930.56/119.29 ( ( c_In @ 930.56/119.29 ( c_Inj0 @ X6 ) @ 930.56/119.29 ( c_setsum @ 930.56/119.29 ( c_setsum @ c_Empty @ c_Empty ) @ 930.56/119.29 ( c_setsum @ 930.56/119.29 X6 @ ( c_Inj0 @ ( c_setsum @ c_Empty @ c_Empty ) ) ) ) ) => 930.56/119.29 ( ( X2 @ 930.56/119.29 ( ^[X8:$i]: ( c_Inj0 @ ( c_Inj0 @ c_Empty ) ) ) @ 930.56/119.29 ( ^[X8:( ( ( $i > $i ) > $i ) > $i ),X9:( $i > $i > $i ), 930.56/119.29 X10:$i,X11:$i]: 930.56/119.29 ( X10 ) ) @ 930.56/119.29 ( c_setsum @ 930.56/119.29 ( X4 @ 930.56/119.29 ( ^[X8:( $i > $i > $i ),X9:( $i > $i ),X10:$i]: 930.56/119.29 ( c_Inj0 @ ( c_setsum @ c_Empty @ c_Empty ) ) ) ) @ 930.56/119.29 c_Empty ) ) => 930.56/119.29 ( X3 @ 930.56/119.29 ( ^[X8:$i,X9:( $i > $i > $i )]: ( c_Inj0 @ X8 ) ) @ X5 @ 930.56/119.29 ( c_setsum @ 930.56/119.29 ( c_setsum @ 930.56/119.29 ( c_setsum @ c_Empty @ ( c_setsum @ c_Empty @ c_Empty ) ) @ 930.56/119.29 ( c_Inj0 @ c_Empty ) ) @ 930.56/119.29 c_Empty ) ) ) ) ) => 930.56/119.29 ( ( ![X4:( ( ( ( $i > $i ) > $i > $i ) > $i ) > $i ), 930.56/119.29 X5:( $i > $i ),X6:$i,X7:$i]: 930.56/119.29 ( ( X3 @ 930.56/119.29 ( ^[X8:$i,X9:( $i > $i > $i )]: ( c_Empty ) ) @ X7 @ 930.56/119.29 ( c_setsum @ 930.56/119.29 ( c_setsum @ 930.56/119.29 ( c_setsum @ ( c_setsum @ c_Empty @ c_Empty ) @ c_Empty ) @ 930.56/119.29 ( c_setsum @ 930.56/119.29 ( c_setsum @ c_Empty @ c_Empty ) @ 930.56/119.29 ( c_Inj0 @ c_Empty ) ) ) @ 930.56/119.29 ( c_setsum @ 930.56/119.29 c_Empty @ ( c_Inj1 @ ( c_setsum @ c_Empty @ c_Empty ) ) ) ) ) => 930.56/119.29 ( X3 @ 930.56/119.29 ( ^[X8:$i,X9:( $i > $i > $i )]: ( X7 ) ) @ 930.56/119.29 ( c_setsum @ 930.56/119.29 ( X4 @ ( ^[X8:( ( $i > $i ) > $i > $i )]: ( X7 ) ) ) @ X6 ) @ 930.56/119.29 ( c_Inj0 @ 930.56/119.29 ( c_Inj1 @ 930.56/119.29 ( c_setsum @ 930.56/119.29 ( c_setsum @ c_Empty @ c_Empty ) @ 930.56/119.29 ( c_setsum @ c_Empty @ c_Empty ) ) ) ) ) ) ) => 930.56/119.29 ( ( ![X4:$i,X5:( $i > ( ( $i > $i ) > $i > $i ) > $i ), 930.56/119.29 X6:( ( ( ( $i > $i ) > $i > $i ) > ( $i > $i ) > $i > $i ) > 930.56/119.29 ( $i > $i > $i ) > $i ), 930.56/119.29 X7:$i]: 930.56/119.29 ( ( c_In @ 930.56/119.29 ( c_Inj0 @ c_Empty ) @ 930.56/119.29 ( c_setsum @ 930.56/119.29 c_Empty @ 930.56/119.29 ( X5 @ 930.56/119.29 ( c_Inj0 @ ( c_setsum @ c_Empty @ c_Empty ) ) @ 930.56/119.29 ( ^[X8:( $i > $i ),X9:$i]: ( c_Inj0 @ c_Empty ) ) ) ) ) => 930.56/119.29 ( ( X0 @ 930.56/119.29 ( ^[X8:$i,X9:$i,X10:( ( $i > $i ) > $i > $i )]: ( X8 ) ) @ 930.56/119.29 X7 @ 930.56/119.29 ( X6 @ 930.56/119.29 ( ^[X8:( ( $i > $i ) > $i > $i ),X9:( $i > $i ), 930.56/119.29 X10:$i]: 930.56/119.29 ( c_Inj1 @ c_Empty ) ) @ 930.56/119.29 ( ^[X8:$i,X9:$i]: ( c_Empty ) ) ) ) => 930.56/119.29 ( X2 @ 930.56/119.29 ( ^[X8:$i]: ( X8 ) ) @ 930.56/119.29 ( ^[X8:( ( ( $i > $i ) > $i ) > $i ), 930.56/119.29 X9:( $i > $i > $i ),X10:$i,X11:$i]: 930.56/119.29 ( X10 ) ) @ 930.56/119.29 ( c_setsum @ 930.56/119.29 ( c_Inj0 @ c_Empty ) @ 930.56/119.29 ( X6 @ 930.56/119.29 ( ^[X8:( ( $i > $i ) > $i > $i ),X9:( $i > $i ), 930.56/119.29 X10:$i]: 930.56/119.29 ( c_Inj0 @ c_Empty ) ) @ 930.56/119.29 ( ^[X8:$i,X9:$i]: ( X9 ) ) ) ) ) ) ) ) => 930.56/119.29 ( ( ![X4:( $i > $i > $i ),X5:( $i > $i ),X6:$i,X7:( $i > $i )]: 930.56/119.29 ( ( c_In @ 930.56/119.29 ( c_Inj0 @ ( c_Inj1 @ c_Empty ) ) @ 930.56/119.29 ( c_setsum @ 930.56/119.29 ( c_setsum @ 930.56/119.29 ( c_Inj0 @ c_Empty ) @ 930.56/119.29 ( c_setsum @ 930.56/119.29 ( c_setsum @ c_Empty @ c_Empty ) @ 930.56/119.29 ( c_setsum @ c_Empty @ c_Empty ) ) ) @ 930.56/119.29 ( c_setsum @ 930.56/119.29 c_Empty @ 930.56/119.29 ( c_setsum @ 930.56/119.29 ( c_Inj0 @ c_Empty ) @ ( X4 @ c_Empty @ c_Empty ) ) ) ) ) => 930.56/119.29 ( ( X2 @ 930.56/119.29 ( ^[X8:$i]: ( c_Empty ) ) @ 930.56/119.29 ( ^[X8:( ( ( $i > $i ) > $i ) > $i ), 930.56/119.29 X9:( $i > $i > $i ),X10:$i,X11:$i]: 930.56/119.29 ( c_Empty ) ) @ 930.56/119.29 ( c_setsum @ 930.56/119.29 ( c_setsum @ 930.56/119.29 c_Empty @ 930.56/119.29 ( c_setsum @ 930.56/119.29 ( c_setsum @ c_Empty @ c_Empty ) @ 930.56/119.29 ( c_Inj0 @ c_Empty ) ) ) @ 930.56/119.29 ( c_Inj1 @ X6 ) ) ) => 930.56/119.29 ( X1 @ 930.56/119.29 ( ^[X8:$i,X9:( ( $i > $i ) > $i )]: 930.56/119.29 ( c_Inj0 @ c_Empty ) ) @ 930.56/119.29 ( X4 @ 930.56/119.29 c_Empty @ 930.56/119.29 ( X5 @ 930.56/119.29 ( c_setsum @ ( c_Inj1 @ c_Empty ) @ c_Empty ) ) ) ) ) ) ) => 930.56/119.29 ( ( ![X4:$i,X5:( $i > $i ),X6:( $i > $i ),X7:$i]: 930.56/119.29 ( ( X3 @ 930.56/119.29 ( ^[X8:$i,X9:( $i > $i > $i )]: ( c_Empty ) ) @ 930.56/119.29 c_Empty @ c_Empty ) => 930.56/119.29 ( X1 @ 930.56/119.29 ( ^[X8:$i,X9:( ( $i > $i ) > $i )]: 930.56/119.29 ( X9 @ 930.56/119.29 ( ^[X10:$i]: 930.56/119.29 ( c_setsum @ 930.56/119.29 ( c_Inj1 @ ( c_Inj0 @ c_Empty ) ) @ 930.56/119.29 ( c_setsum @ c_Empty @ c_Empty ) ) ) ) ) @ 930.56/119.29 c_Empty ) ) ) => 930.56/119.29 ( ( ![X4:$i,X5:$i,X6:$i,X7:$i]: 930.56/119.29 ( ( c_In @ 930.56/119.29 ( c_Inj0 @ X6 ) @ 930.56/119.29 ( c_setsum @ 930.56/119.29 ( c_setsum @ 930.56/119.29 X4 @ 930.56/119.29 ( c_setsum @ 930.56/119.29 X5 @ ( c_setsum @ c_Empty @ c_Empty ) ) ) @ 930.56/119.29 ( c_Inj1 @ ( c_setsum @ X5 @ c_Empty ) ) ) ) => 930.56/119.29 ( ( X1 @ 930.56/119.29 ( ^[X8:$i,X9:( ( $i > $i ) > $i )]: ( X7 ) ) @ 930.56/119.29 c_Empty ) => 930.56/119.29 ( X2 @ 930.56/119.29 ( ^[X8:$i]: ( c_Empty ) ) @ 930.56/119.29 ( ^[X8:( ( ( $i > $i ) > $i ) > $i ), 930.56/119.29 X9:( $i > $i > $i ),X10:$i,X11:$i]: 930.56/119.29 ( c_setsum @ c_Empty @ c_Empty ) ) @ 930.56/119.29 X5 ) ) ) ) => 930.56/119.29 ( ( ![X4:( ( ( ( $i > $i ) > $i > $i ) > $i ) > $i ), 930.56/119.29 X5:$i,X6:$i,X7:$i]: 930.56/119.29 ( ( c_In @ ( c_Inj1 @ c_Empty ) @ X5 ) => 930.56/119.29 ( ( X1 @ 930.56/119.29 ( ^[X8:$i,X9:( ( $i > $i ) > $i )]: ( c_Empty ) ) @ 930.56/119.29 c_Empty ) => 930.56/119.29 ( X0 @ 930.56/119.29 ( ^[X8:$i,X9:$i,X10:( ( $i > $i ) > $i > $i )]: 930.56/119.29 ( c_Inj1 @ c_Empty ) ) @ 930.56/119.29 ( c_Inj1 @ 930.56/119.29 ( c_Inj1 @ 930.56/119.29 ( X4 @ 930.56/119.29 ( ^[X8:( ( $i > $i ) > $i > $i )]: 930.56/119.29 ( c_Empty ) ) ) ) ) @ 930.56/119.29 ( c_Inj1 @ 930.56/119.29 ( c_setsum @ 930.56/119.29 ( c_setsum @ ( c_Inj0 @ c_Empty ) @ c_Empty ) @ 930.56/119.29 ( c_Inj1 @ ( c_Inj0 @ c_Empty ) ) ) ) ) ) ) ) => 930.56/119.29 ( ( ![X4:( $i > $i ),X5:$i,X6:( $i > $i ),X7:$i]: 930.56/119.29 ( ( X0 @ 930.56/119.29 ( ^[X8:$i,X9:$i,X10:( ( $i > $i ) > $i > $i )]: 930.56/119.29 ( c_Empty ) ) @ 930.56/119.29 ( X4 @ c_Empty ) @ X7 ) => 930.56/119.29 ( c_False ) ) ) => 930.56/119.29 ( c_False ) ) ) ) ) ) ) ) ) ) )), 930.56/119.29 inference('cnf.neg', [status(esa)], [conj])). 930.56/119.29 thf(zip_derived_cl9, plain, 930.56/119.29 (~ (c_not @ 930.56/119.29 (((!!) @ (^[Y0 : ($i > $i > (($i > $i) > $i > $i) > $i) > $i > $i > $o]: 930.56/119.29 (((!!) @ (^[Y1 : ($i > (($i > $i) > $i) > $i) > $i > $o]: 930.56/119.29 (((!!) @ (^[Y2 : ($i > $i) > 930.56/119.29 (((($i > $i) > $i) > $i) > 930.56/119.29 ($i > $i > $i) > $i > $i > $i) > 930.56/119.29 $i > $o]: 930.56/119.29 (((!!) @ (^[Y3 : ($i > 930.56/119.29 ($i > $i > $i) > $i) > 930.56/119.29 $i > $i > $o]: 930.56/119.29 (((((!!) @ (^[Y4 : ( 930.56/119.29 ( 930.56/119.29 $i > $i > $i) > 930.56/119.29 ( 930.56/119.29 $i > $i) > 930.56/119.29 $i > $i) > $i]: 930.56/119.29 (( 930.56/119.29 (!!) @ ( 930.56/119.29 ^[Y5 : $i]: 930.56/119.29 (( 930.56/119.29 (!!) @ ( 930.56/119.29 ^[Y6 : $i]: 930.56/119.29 (( 930.56/119.29 (!!) @ ( 930.56/119.29 ^[Y7 : $i]: 930.56/119.29 (( 930.56/119.29 (c_In @ 930.56/119.29 ( 930.56/119.29 c_Inj0 @ 930.56/119.29 Y6) @ 930.56/119.29 ( 930.56/119.29 c_setsum @ 930.56/119.29 ( 930.56/119.29 c_setsum @ 930.56/119.29 c_Empty @ 930.56/119.29 c_Empty) @ 930.56/119.29 ( 930.56/119.29 c_setsum @ 930.56/119.29 Y6 @ 930.56/119.29 ( 930.56/119.29 c_Inj0 @ 930.56/119.29 ( 930.56/119.29 c_setsum @ 930.56/119.29 c_Empty @ 930.56/119.29 c_Empty))))) => 930.56/119.29 (( 930.56/119.29 (Y2 @ 930.56/119.29 ( 930.56/119.29 ^[Y8 : $i]: 930.56/119.29 (c_Inj0 @ 930.56/119.29 (c_Inj0 @ 930.56/119.29 c_Empty))) @ 930.56/119.29 ( 930.56/119.29 ^[Y8 : ( 930.56/119.29 ( 930.56/119.29 $i > $i) > $i) > $i, 930.56/119.29 Y9 : 930.56/119.29 $i > $i > $i, 930.56/119.29 Y10 : $i, 930.56/119.29 Y11 : $i]: 930.56/119.29 (Y10)) @ 930.56/119.29 ( 930.56/119.29 c_setsum @ 930.56/119.29 ( 930.56/119.29 Y4 @ 930.56/119.29 ( 930.56/119.29 ^[Y8 : 930.56/119.29 $i > $i > $i, 930.56/119.29 Y9 : $i > $i, 930.56/119.29 Y10 : $i]: 930.56/119.29 (c_Inj0 @ 930.56/119.29 (c_setsum @ 930.56/119.29 c_Empty @ 930.56/119.29 c_Empty)))) @ 930.56/119.29 c_Empty)) => 930.56/119.29 (Y3 @ 930.56/119.29 ( 930.56/119.29 ^[Y8 : $i, 930.56/119.29 Y9 : 930.56/119.29 $i > $i > $i]: 930.56/119.29 (c_Inj0 @ 930.56/119.29 Y8)) @ 930.56/119.29 Y5 @ 930.56/119.29 ( 930.56/119.29 c_setsum @ 930.56/119.29 ( 930.56/119.29 c_setsum @ 930.56/119.29 ( 930.56/119.29 c_setsum @ 930.56/119.29 c_Empty @ 930.56/119.29 ( 930.56/119.29 c_setsum @ 930.56/119.29 c_Empty @ 930.56/119.29 c_Empty)) @ 930.56/119.29 ( 930.56/119.29 c_Inj0 @ 930.56/119.29 c_Empty)) @ 930.56/119.29 c_Empty)))))))))))))))))) => 930.56/119.29 (((((!!) @ ( 930.56/119.29 ^[Y4 : ( 930.56/119.29 (($i > $i) > 930.56/119.29 $i > $i) > $i) > $i]: 930.56/119.29 (((!!) @ ( 930.56/119.29 ^[Y5 : $i > $i]: 930.56/119.29 ( 930.56/119.29 ( 930.56/119.29 (!!) @ ( 930.56/119.29 ^[Y6 : $i]: 930.56/119.29 (( 930.56/119.29 (!!) @ ( 930.56/119.29 ^[Y7 : $i]: 930.56/119.29 (( 930.56/119.29 (Y3 @ 930.56/119.29 ( 930.56/119.29 ^[Y8 : $i, 930.56/119.29 Y9 : 930.56/119.29 $i > $i > $i]: 930.56/119.29 (c_Empty)) @ 930.56/119.29 Y7 @ 930.56/119.29 ( 930.56/119.29 c_setsum @ 930.56/119.29 ( 930.56/119.29 c_setsum @ 930.56/119.29 ( 930.56/119.29 c_setsum @ 930.56/119.29 ( 930.56/119.29 c_setsum @ 930.56/119.29 c_Empty @ 930.56/119.29 c_Empty) @ 930.56/119.29 c_Empty) @ 930.56/119.29 ( 930.56/119.29 c_setsum @ 930.56/119.29 ( 930.56/119.29 c_setsum @ 930.56/119.29 c_Empty @ 930.56/119.29 c_Empty) @ 930.56/119.29 ( 930.56/119.29 c_Inj0 @ 930.56/119.29 c_Empty))) @ 930.56/119.29 ( 930.56/119.29 c_setsum @ 930.56/119.29 c_Empty @ 930.56/119.29 ( 930.56/119.29 c_Inj1 @ 930.56/119.29 ( 930.56/119.29 c_setsum @ 930.56/119.29 c_Empty @ 930.56/119.29 c_Empty))))) => 930.56/119.29 (Y3 @ 930.56/119.29 ( 930.56/119.29 ^[Y8 : $i, 930.56/119.29 Y9 : 930.56/119.29 $i > $i > $i]: 930.56/119.29 (Y7)) @ 930.56/119.29 ( 930.56/119.29 c_setsum @ 930.56/119.29 ( 930.56/119.29 Y4 @ 930.56/119.29 ( 930.56/119.29 ^[Y8 : 930.56/119.29 ( 930.56/119.29 $i > $i) > 930.56/119.29 $i > $i]: 930.56/119.29 (Y7))) @ 930.56/119.29 Y6) @ 930.56/119.29 ( 930.56/119.29 c_Inj0 @ 930.56/119.29 ( 930.56/119.29 c_Inj1 @ 930.56/119.29 ( 930.56/119.29 c_setsum @ 930.56/119.29 ( 930.56/119.29 c_setsum @ 930.56/119.29 c_Empty @ 930.56/119.29 c_Empty) @ 930.56/119.29 ( 930.56/119.29 c_setsum @ 930.56/119.29 c_Empty @ 930.56/119.29 c_Empty))))))))))))))))))) => 930.56/119.29 (((((!!) @ ( 930.56/119.29 ^[Y4 : $i]: 930.56/119.29 (((!!) @ ( 930.56/119.29 ^[Y5 : 930.56/119.29 $i > 930.56/119.29 ( 930.56/119.29 ( 930.56/119.29 $i > $i) > 930.56/119.29 $i > $i) > $i]: 930.56/119.29 (( 930.56/119.29 (!!) @ ( 930.56/119.29 ^[Y6 : 930.56/119.29 ( 930.56/119.29 ( 930.56/119.29 ( 930.56/119.29 $i > $i) > 930.56/119.29 $i > $i) > 930.56/119.29 ( 930.56/119.29 $i > $i) > 930.56/119.29 $i > $i) > 930.56/119.29 ( 930.56/119.29 $i > $i > $i) > $i]: 930.56/119.29 (( 930.56/119.29 (!!) @ ( 930.56/119.29 ^[Y7 : $i]: 930.56/119.29 (( 930.56/119.29 (c_In @ 930.56/119.29 ( 930.56/119.29 c_Inj0 @ 930.56/119.29 c_Empty) @ 930.56/119.29 ( 930.56/119.29 c_setsum @ 930.56/119.29 c_Empty @ 930.56/119.29 ( 930.56/119.29 Y5 @ 930.56/119.29 ( 930.56/119.29 c_Inj0 @ 930.56/119.29 ( 930.56/119.29 c_setsum @ 930.56/119.29 c_Empty @ 930.56/119.29 c_Empty)) @ 930.56/119.29 ( 930.56/119.29 ^[Y8 : $i > $i, 930.56/119.29 Y9 : $i]: 930.56/119.29 (c_Inj0 @ 930.56/119.29 c_Empty))))) => 930.56/119.29 (( 930.56/119.29 (Y0 @ 930.56/119.29 ( 930.56/119.29 ^[Y8 : $i, 930.56/119.29 Y9 : $i, 930.56/119.29 Y10 : 930.56/119.29 ( 930.56/119.29 $i > $i) > 930.56/119.29 $i > $i]: 930.56/119.29 (Y8)) @ 930.56/119.29 Y7 @ 930.56/119.29 ( 930.56/119.29 Y6 @ 930.56/119.29 ( 930.56/119.29 ^[Y8 : 930.56/119.29 ( 930.56/119.29 $i > $i) > 930.56/119.29 $i > $i, 930.56/119.29 Y9 : $i > $i, 930.56/119.29 Y10 : $i]: 930.56/119.29 (c_Inj1 @ 930.56/119.29 c_Empty)) @ 930.56/119.29 ( 930.56/119.29 ^[Y8 : $i, 930.56/119.29 Y9 : $i]: 930.56/119.29 (c_Empty)))) => 930.56/119.29 (Y2 @ 930.56/119.29 ( 930.56/119.29 ^[Y8 : $i]: 930.56/119.29 (Y8)) @ 930.56/119.29 ( 930.56/119.29 ^[Y8 : ( 930.56/119.29 ( 930.56/119.29 $i > $i) > $i) > $i, 930.56/119.29 Y9 : 930.56/119.29 $i > $i > $i, 930.56/119.29 Y10 : $i, 930.56/119.29 Y11 : $i]: 930.56/119.29 (Y10)) @ 930.56/119.29 ( 930.56/119.29 c_setsum @ 930.56/119.29 ( 930.56/119.29 c_Inj0 @ 930.56/119.29 c_Empty) @ 930.56/119.29 ( 930.56/119.29 Y6 @ 930.56/119.29 ( 930.56/119.29 ^[Y8 : 930.56/119.29 ( 930.56/119.29 $i > $i) > 930.56/119.29 $i > $i, 930.56/119.29 Y9 : $i > $i, 930.56/119.29 Y10 : $i]: 930.56/119.29 (c_Inj0 @ 930.56/119.29 c_Empty)) @ 930.56/119.29 ( 930.56/119.29 ^[Y8 : $i, 930.56/119.29 Y9 : $i]: 930.56/119.29 (Y9))))))))))))))))))))) => 930.56/119.29 (((((!!) @ ( 930.56/119.29 ^[Y4 : 930.56/119.29 $i > $i > $i]: 930.56/119.29 ( 930.56/119.29 ( 930.56/119.29 (!!) @ ( 930.56/119.29 ^[Y5 : $i > $i]: 930.56/119.29 (( 930.56/119.30 (!!) @ ( 930.56/119.30 ^[Y6 : $i]: 930.56/119.30 (( 930.56/119.30 (!!) @ ( 930.56/119.30 ^[Y7 : $i > $i]: 930.56/119.30 (( 930.56/119.30 (c_In @ 930.56/119.30 ( 930.56/119.30 c_Inj0 @ 930.56/119.30 ( 930.56/119.30 c_Inj1 @ 930.56/119.30 c_Empty)) @ 930.56/119.30 ( 930.56/119.30 c_setsum @ 930.56/119.30 ( 930.56/119.30 c_setsum @ 930.56/119.30 ( 930.56/119.30 c_Inj0 @ 930.56/119.30 c_Empty) @ 930.56/119.30 ( 930.56/119.30 c_setsum @ 930.56/119.30 ( 930.56/119.30 c_setsum @ 930.56/119.30 c_Empty @ 930.56/119.30 c_Empty) @ 930.56/119.30 ( 930.56/119.30 c_setsum @ 930.56/119.30 c_Empty @ 930.56/119.30 c_Empty))) @ 930.56/119.30 ( 930.56/119.30 c_setsum @ 930.56/119.30 c_Empty @ 930.56/119.30 ( 930.56/119.30 c_setsum @ 930.56/119.30 ( 930.56/119.30 c_Inj0 @ 930.56/119.30 c_Empty) @ 930.56/119.30 ( 930.56/119.30 Y4 @ 930.56/119.30 c_Empty @ 930.56/119.30 c_Empty))))) => 930.56/119.30 (( 930.56/119.30 (Y2 @ 930.56/119.30 ( 930.56/119.30 ^[Y8 : $i]: 930.56/119.30 (c_Empty)) @ 930.56/119.30 ( 930.56/119.30 ^[Y8 : ( 930.56/119.30 ( 930.56/119.30 $i > $i) > $i) > $i, 930.56/119.30 Y9 : 930.56/119.30 $i > $i > $i, 930.56/119.30 Y10 : $i, 930.56/119.30 Y11 : $i]: 930.56/119.30 (c_Empty)) @ 930.56/119.30 ( 930.56/119.30 c_setsum @ 930.56/119.30 ( 930.56/119.30 c_setsum @ 930.56/119.30 c_Empty @ 930.56/119.30 ( 930.56/119.30 c_setsum @ 930.56/119.30 ( 930.56/119.30 c_setsum @ 930.56/119.30 c_Empty @ 930.56/119.30 c_Empty) @ 930.56/119.30 ( 930.56/119.30 c_Inj0 @ 930.56/119.30 c_Empty))) @ 930.56/119.30 ( 930.56/119.30 c_Inj1 @ 930.56/119.30 Y6))) => 930.56/119.30 (Y1 @ 930.56/119.30 ( 930.56/119.30 ^[Y8 : $i, 930.56/119.30 Y9 : ( 930.56/119.30 $i > $i) > $i]: 930.56/119.30 (c_Inj0 @ 930.56/119.30 c_Empty)) @ 930.56/119.30 ( 930.56/119.30 Y4 @ 930.56/119.30 c_Empty @ 930.56/119.30 ( 930.56/119.30 Y5 @ 930.56/119.30 ( 930.56/119.30 c_setsum @ 930.56/119.30 ( 930.56/119.30 c_Inj1 @ 930.56/119.30 c_Empty) @ 930.56/119.30 c_Empty)))))))))))))))))))) => 930.56/119.30 (((((!!) @ ( 930.56/119.30 ^[Y4 : $i]: 930.56/119.30 (( 930.56/119.30 (!!) @ ( 930.56/119.30 ^[Y5 : $i > $i]: 930.56/119.30 (( 930.56/119.30 (!!) @ ( 930.56/119.30 ^[Y6 : $i > $i]: 930.56/119.30 (( 930.56/119.30 (!!) @ ( 930.56/119.30 ^[Y7 : $i]: 930.56/119.30 (( 930.56/119.30 (Y3 @ 930.56/119.30 ( 930.56/119.30 ^[Y8 : $i, 930.56/119.30 Y9 : 930.56/119.30 $i > $i > $i]: 930.56/119.30 (c_Empty)) @ 930.56/119.30 c_Empty @ 930.56/119.30 c_Empty) => 930.56/119.30 (Y1 @ 930.56/119.30 ( 930.56/119.30 ^[Y8 : $i, 930.56/119.30 Y9 : ( 930.56/119.30 $i > $i) > $i]: 930.56/119.30 (Y9 @ 930.56/119.30 (^[Y10 : $i]: 930.56/119.30 (c_setsum @ 930.56/119.30 (c_Inj1 @ 930.56/119.30 (c_Inj0 @ 930.56/119.30 c_Empty)) @ 930.56/119.30 (c_setsum @ 930.56/119.30 c_Empty @ 930.56/119.30 c_Empty))))) @ 930.56/119.30 c_Empty))))))))))))))) => 930.56/119.30 (((( 930.56/119.30 (!!) @ ( 930.56/119.30 ^[Y4 : $i]: 930.56/119.30 (( 930.56/119.30 (!!) @ ( 930.56/119.30 ^[Y5 : $i]: 930.56/119.30 (( 930.56/119.30 (!!) @ ( 930.56/119.30 ^[Y6 : $i]: 930.56/119.30 (( 930.56/119.30 (!!) @ ( 930.56/119.30 ^[Y7 : $i]: 930.56/119.30 (( 930.56/119.30 (c_In @ 930.56/119.30 ( 930.56/119.30 c_Inj0 @ 930.56/119.30 Y6) @ 930.56/119.30 ( 930.56/119.30 c_setsum @ 930.56/119.30 ( 930.56/119.30 c_setsum @ 930.56/119.30 Y4 @ 930.56/119.30 ( 930.56/119.30 c_setsum @ 930.56/119.30 Y5 @ 930.56/119.30 ( 930.56/119.30 c_setsum @ 930.56/119.30 c_Empty @ 930.56/119.30 c_Empty))) @ 930.56/119.30 ( 930.56/119.30 c_Inj1 @ 930.56/119.30 ( 930.56/119.30 c_setsum @ 930.56/119.30 Y5 @ 930.56/119.30 c_Empty)))) => 930.56/119.30 (( 930.56/119.30 (Y1 @ 930.56/119.30 ( 930.56/119.30 ^[Y8 : $i, 930.56/119.30 Y9 : ( 930.56/119.30 $i > $i) > $i]: 930.56/119.30 (Y7)) @ 930.56/119.30 c_Empty) => 930.56/119.30 (Y2 @ 930.56/119.30 ( 930.56/119.30 ^[Y8 : $i]: 930.56/119.30 (c_Empty)) @ 930.56/119.30 ( 930.56/119.30 ^[Y8 : ( 930.56/119.30 ( 930.56/119.30 $i > $i) > $i) > $i, 930.56/119.30 Y9 : 930.56/119.30 $i > $i > $i, 930.56/119.30 Y10 : $i, 930.56/119.30 Y11 : $i]: 930.56/119.30 (c_setsum @ 930.56/119.30 c_Empty @ 930.56/119.30 c_Empty)) @ 930.56/119.30 Y5))))))))))))))))) => 930.56/119.30 (( 930.56/119.30 (( 930.56/119.30 (!!) @ ( 930.56/119.30 ^[Y4 : ( 930.56/119.30 ( 930.56/119.30 ( 930.56/119.30 $i > $i) > 930.56/119.30 $i > $i) > $i) > $i]: 930.56/119.30 (( 930.56/119.30 (!!) @ ( 930.56/119.30 ^[Y5 : $i]: 930.56/119.30 (( 930.56/119.30 (!!) @ ( 930.56/119.30 ^[Y6 : $i]: 930.56/119.30 (( 930.56/119.30 (!!) @ ( 930.56/119.30 ^[Y7 : $i]: 930.56/119.30 (( 930.56/119.30 (c_In @ 930.56/119.30 ( 930.56/119.30 c_Inj1 @ 930.56/119.30 c_Empty) @ 930.56/119.30 Y5) => 930.56/119.30 (( 930.56/119.30 (Y1 @ 930.56/119.30 ( 930.56/119.30 ^[Y8 : $i, 930.56/119.30 Y9 : ( 930.56/119.30 $i > $i) > $i]: 930.56/119.30 (c_Empty)) @ 930.56/119.30 c_Empty) => 930.56/119.30 (Y0 @ 930.56/119.30 ( 930.56/119.30 ^[Y8 : $i, 930.56/119.30 Y9 : $i, 930.56/119.30 Y10 : 930.56/119.30 ( 930.56/119.30 $i > $i) > 930.56/119.30 $i > $i]: 930.56/119.30 (c_Inj1 @ 930.56/119.30 c_Empty)) @ 930.56/119.30 ( 930.56/119.30 c_Inj1 @ 930.56/119.30 ( 930.56/119.30 c_Inj1 @ 930.56/119.30 ( 930.56/119.30 Y4 @ 930.56/119.30 ( 930.56/119.30 ^[Y8 : 930.56/119.30 ( 930.56/119.30 $i > $i) > 930.56/119.30 $i > $i]: 930.56/119.30 (c_Empty))))) @ 930.56/119.30 ( 930.56/119.30 c_Inj1 @ 930.56/119.30 ( 930.56/119.30 c_setsum @ 930.56/119.30 ( 930.56/119.30 c_setsum @ 930.56/119.30 ( 930.56/119.30 c_Inj0 @ 930.56/119.30 c_Empty) @ 930.56/119.30 c_Empty) @ 930.56/119.30 ( 930.56/119.30 c_Inj1 @ 930.56/119.30 ( 930.56/119.30 c_Inj0 @ 930.56/119.30 c_Empty))))))))))))))))))))) => 930.56/119.30 (( 930.56/119.30 (( 930.56/119.30 (!!) @ ( 930.56/119.30 ^[Y4 : $i > $i]: 930.56/119.30 (( 930.56/119.30 (!!) @ ( 930.56/119.30 ^[Y5 : $i]: 930.56/119.30 (( 930.56/119.30 (!!) @ ( 930.56/119.30 ^[Y6 : $i > $i]: 930.56/119.30 (( 930.56/119.30 (!!) @ ( 930.56/119.30 ^[Y7 : $i]: 930.56/119.30 (( 930.56/119.30 (Y0 @ 930.56/119.30 ( 930.56/119.30 ^[Y8 : $i, 930.56/119.30 Y9 : $i, 930.56/119.30 Y10 : 930.56/119.30 ( 930.56/119.30 $i > $i) > 930.56/119.30 $i > $i]: 930.56/119.30 (c_Empty)) @ 930.56/119.30 ( 930.56/119.30 Y4 @ 930.56/119.30 c_Empty) @ 930.56/119.30 Y7) => 930.56/119.30 (c_False))))))))))))))) => 930.56/119.30 (c_False))))))))))))))))))))))))))))))), 930.56/119.30 inference('cnf', [status(esa)], [zf_stmt_0])). 930.56/119.30 thf(ax13, axiom, (( c_not ) = ( ^[X0:$o]: ( ( X0 ) => ( c_False ) ) ))). 930.56/119.30 thf(zip_derived_cl3, plain, 930.56/119.30 (((c_not) = ((^[Y0 : $o]: (((Y0) => (c_False))))))), 930.56/119.30 inference('cnf', [status(esa)], [ax13])). 930.56/119.30 thf(zip_derived_cl38, plain, 930.56/119.30 (![X1 : $o]: ((c_not @ X1) = ((^[Y0 : $o]: (((Y0) => (c_False)))) @ X1))), 930.56/119.30 inference('ho_complete_eq', [status(thm)], [zip_derived_cl3])). 930.56/119.30 thf(zip_derived_cl39, plain, 930.56/119.30 (![X1 : $o]: ((c_not @ X1) = (((X1) => (c_False))))), 930.56/119.30 inference('ho_norm', [status(thm)], [zip_derived_cl38])). 930.56/119.30 thf(zip_derived_cl26, plain, (~ (c_False)), 930.56/119.30 inference('ho.refine.early.bird', [status(thm)], [zip_derived_cl24])). 930.56/119.30 thf(zip_derived_cl40, plain, 930.56/119.30 (![X1 : $o]: ((c_not @ X1) = (((X1) => ($false))))), 930.56/119.30 inference('demod', [status(thm)], [zip_derived_cl39, zip_derived_cl26])). 930.56/119.30 thf(zip_derived_cl41, plain, (![X1 : $o]: ((c_not @ X1) = (((~) @ X1)))), 930.56/119.30 inference('simplify boolean subterms', [status(thm)], [zip_derived_cl40])). 930.56/119.30 thf(zip_derived_cl42, plain, (![X1 : $o]: ((c_not @ X1) != (X1))), 930.56/119.30 inference('simplify nested equalities', [status(thm)], [zip_derived_cl41])). 930.56/119.30 thf(zip_derived_cl44, plain, (![X1 : $o]: ( (c_not @ X1) | (X1))), 930.56/119.30 inference('lazy_cnf_xor', [status(thm)], [zip_derived_cl42])). 930.56/119.30 thf(zip_derived_cl69, plain, 930.56/119.30 ( (((!!) @ (^[Y0 : ($i > $i > (($i > $i) > $i > $i) > $i) > $i > $i > $o]: 930.56/119.30 (((!!) @ (^[Y1 : ($i > (($i > $i) > $i) > $i) > $i > $o]: 930.56/119.30 (((!!) @ (^[Y2 : ($i > $i) > 930.56/119.30 (((($i > $i) > $i) > $i) > 930.56/119.30 ($i > $i > $i) > $i > $i > $i) > 930.56/119.30 $i > $o]: 930.56/119.30 (((!!) @ (^[Y3 : ($i > 930.56/119.30 ($i > $i > $i) > $i) > 930.56/119.30 $i > $i > $o]: 930.56/119.30 (((((!!) @ (^[Y4 : ( 930.56/119.30 ( 930.56/119.30 $i > $i > $i) > 930.56/119.30 ( 930.56/119.30 $i > $i) > 930.56/119.30 $i > $i) > $i]: 930.56/119.30 ( 930.56/119.30 ( 930.56/119.30 (!!) @ ( 930.56/119.30 ^[Y5 : $i]: 930.56/119.30 (( 930.56/119.30 (!!) @ ( 930.56/119.30 ^[Y6 : $i]: 930.56/119.30 (( 930.56/119.30 (!!) @ ( 930.56/119.30 ^[Y7 : $i]: 930.56/119.30 (( 930.56/119.30 (c_In @ 930.56/119.30 ( 930.56/119.30 c_Inj0 @ 930.56/119.30 Y6) @ 930.56/119.30 ( 930.56/119.30 c_setsum @ 930.56/119.30 ( 930.56/119.30 c_setsum @ 930.56/119.30 c_Empty @ 930.56/119.30 c_Empty) @ 930.56/119.30 ( 930.56/119.30 c_setsum @ 930.56/119.30 Y6 @ 930.56/119.30 ( 930.56/119.30 c_Inj0 @ 930.56/119.30 ( 930.56/119.30 c_setsum @ 930.56/119.30 c_Empty @ 930.56/119.30 c_Empty))))) => 930.56/119.30 (( 930.56/119.30 (Y2 @ 930.56/119.30 ( 930.56/119.30 ^[Y8 : $i]: 930.56/119.30 (c_Inj0 @ 930.56/119.30 (c_Inj0 @ 930.56/119.30 c_Empty))) @ 930.56/119.30 ( 930.56/119.30 ^[Y8 : ( 930.56/119.30 ( 930.56/119.30 $i > $i) > $i) > $i, 930.56/119.30 Y9 : 930.56/119.30 $i > $i > $i, 930.56/119.30 Y10 : $i, 930.56/119.30 Y11 : $i]: 930.56/119.30 (Y10)) @ 930.56/119.30 ( 930.56/119.30 c_setsum @ 930.56/119.30 ( 930.56/119.30 Y4 @ 930.56/119.30 ( 930.56/119.30 ^[Y8 : 930.56/119.30 $i > $i > $i, 930.56/119.30 Y9 : $i > $i, 930.56/119.30 Y10 : $i]: 930.56/119.30 (c_Inj0 @ 930.56/119.30 (c_setsum @ 930.56/119.30 c_Empty @ 930.56/119.30 c_Empty)))) @ 930.56/119.30 c_Empty)) => 930.56/119.30 (Y3 @ 930.56/119.30 ( 930.56/119.30 ^[Y8 : $i, 930.56/119.30 Y9 : 930.56/119.30 $i > $i > $i]: 930.56/119.30 (c_Inj0 @ 930.56/119.30 Y8)) @ 930.56/119.30 Y5 @ 930.56/119.30 ( 930.56/119.30 c_setsum @ 930.56/119.30 ( 930.56/119.30 c_setsum @ 930.56/119.30 ( 930.56/119.30 c_setsum @ 930.56/119.30 c_Empty @ 930.56/119.30 ( 930.56/119.30 c_setsum @ 930.56/119.30 c_Empty @ 930.56/119.30 c_Empty)) @ 930.56/119.30 ( 930.56/119.30 c_Inj0 @ 930.56/119.30 c_Empty)) @ 930.56/119.30 c_Empty)))))))))))))))))) => 930.56/119.30 (((((!!) @ (^[Y4 : ( 930.56/119.30 ( 930.56/119.30 ( 930.56/119.30 $i > $i) > 930.56/119.30 $i > $i) > $i) > $i]: 930.56/119.30 (( 930.56/119.30 (!!) @ ( 930.56/119.30 ^[Y5 : $i > $i]: 930.56/119.30 (( 930.56/119.30 (!!) @ ( 930.56/119.30 ^[Y6 : $i]: 930.56/119.30 (( 930.56/119.30 (!!) @ ( 930.56/119.30 ^[Y7 : $i]: 930.56/119.30 (( 930.56/119.30 (Y3 @ 930.56/119.30 ( 930.56/119.30 ^[Y8 : $i, 930.56/119.30 Y9 : 930.56/119.30 $i > $i > $i]: 930.56/119.30 (c_Empty)) @ 930.56/119.30 Y7 @ 930.56/119.30 ( 930.56/119.30 c_setsum @ 930.56/119.30 ( 930.56/119.30 c_setsum @ 930.56/119.30 ( 930.56/119.30 c_setsum @ 930.56/119.30 ( 930.56/119.30 c_setsum @ 930.56/119.30 c_Empty @ 930.56/119.30 c_Empty) @ 930.56/119.30 c_Empty) @ 930.56/119.30 ( 930.56/119.30 c_setsum @ 930.56/119.30 ( 930.56/119.30 c_setsum @ 930.56/119.30 c_Empty @ 930.56/119.30 c_Empty) @ 930.56/119.30 ( 930.56/119.30 c_Inj0 @ 930.56/119.30 c_Empty))) @ 930.56/119.30 ( 930.56/119.30 c_setsum @ 930.56/119.30 c_Empty @ 930.56/119.30 ( 930.56/119.30 c_Inj1 @ 930.56/119.30 ( 930.56/119.30 c_setsum @ 930.56/119.30 c_Empty @ 930.56/119.30 c_Empty))))) => 930.56/119.30 (Y3 @ 930.56/119.30 ( 930.56/119.30 ^[Y8 : $i, 930.56/119.30 Y9 : 930.56/119.30 $i > $i > $i]: 930.56/119.30 (Y7)) @ 930.56/119.30 ( 930.56/119.30 c_setsum @ 930.56/119.30 ( 930.56/119.30 Y4 @ 930.56/119.30 ( 930.56/119.30 ^[Y8 : 930.56/119.30 ( 930.56/119.30 $i > $i) > 930.56/119.30 $i > $i]: 930.56/119.30 (Y7))) @ 930.56/119.30 Y6) @ 930.56/119.30 ( 930.56/119.30 c_Inj0 @ 930.56/119.30 ( 930.56/119.30 c_Inj1 @ 930.56/119.30 ( 930.56/119.30 c_setsum @ 930.56/119.30 ( 930.56/119.30 c_setsum @ 930.56/119.30 c_Empty @ 930.56/119.30 c_Empty) @ 930.56/119.30 ( 930.56/119.30 c_setsum @ 930.56/119.30 c_Empty @ 930.56/119.30 c_Empty))))))))))))))))))) => 930.56/119.30 (((((!!) @ ( 930.56/119.30 ^[Y4 : $i]: 930.56/119.30 (((!!) @ ( 930.56/119.30 ^[Y5 : 930.56/119.30 $i > 930.56/119.30 ( 930.56/119.30 ( 930.56/119.30 $i > $i) > 930.56/119.30 $i > $i) > $i]: 930.56/119.30 ( 930.56/119.30 ( 930.56/119.30 (!!) @ ( 930.56/119.30 ^[Y6 : 930.56/119.30 ( 930.56/119.30 ( 930.56/119.30 ( 930.56/119.30 $i > $i) > 930.56/119.30 $i > $i) > 930.56/119.30 ( 930.56/119.30 $i > $i) > 930.56/119.30 $i > $i) > 930.56/119.30 ( 930.56/119.30 $i > $i > $i) > $i]: 930.56/119.30 (( 930.56/119.30 (!!) @ ( 930.56/119.30 ^[Y7 : $i]: 930.56/119.30 (( 930.56/119.30 (c_In @ 930.56/119.30 ( 930.56/119.30 c_Inj0 @ 930.56/119.30 c_Empty) @ 930.56/119.30 ( 930.56/119.30 c_setsum @ 930.56/119.30 c_Empty @ 930.56/119.30 ( 930.56/119.30 Y5 @ 930.56/119.30 ( 930.56/119.30 c_Inj0 @ 930.56/119.30 ( 930.56/119.30 c_setsum @ 930.56/119.30 c_Empty @ 930.56/119.30 c_Empty)) @ 930.56/119.30 ( 930.56/119.30 ^[Y8 : $i > $i, 930.56/119.30 Y9 : $i]: 930.56/119.30 (c_Inj0 @ 930.56/119.30 c_Empty))))) => 930.56/119.30 (( 930.56/119.30 (Y0 @ 930.56/119.30 ( 930.56/119.30 ^[Y8 : $i, 930.56/119.30 Y9 : $i, 930.56/119.30 Y10 : 930.56/119.30 ( 930.56/119.30 $i > $i) > 930.56/119.30 $i > $i]: 930.56/119.30 (Y8)) @ 930.56/119.30 Y7 @ 930.56/119.30 ( 930.56/119.30 Y6 @ 930.56/119.30 ( 930.56/119.30 ^[Y8 : 930.56/119.30 ( 930.56/119.30 $i > $i) > 930.56/119.30 $i > $i, 930.56/119.30 Y9 : $i > $i, 930.56/119.30 Y10 : $i]: 930.56/119.30 (c_Inj1 @ 930.56/119.30 c_Empty)) @ 930.56/119.30 ( 930.56/119.30 ^[Y8 : $i, 930.56/119.30 Y9 : $i]: 930.56/119.30 (c_Empty)))) => 930.56/119.30 (Y2 @ 930.56/119.30 ( 930.56/119.30 ^[Y8 : $i]: 930.56/119.30 (Y8)) @ 930.56/119.30 ( 930.56/119.30 ^[Y8 : ( 930.56/119.30 ( 930.56/119.30 $i > $i) > $i) > $i, 930.56/119.30 Y9 : 930.56/119.30 $i > $i > $i, 930.56/119.30 Y10 : $i, 930.56/119.30 Y11 : $i]: 930.56/119.30 (Y10)) @ 930.56/119.30 ( 930.56/119.30 c_setsum @ 930.56/119.30 ( 930.56/119.30 c_Inj0 @ 930.56/119.30 c_Empty) @ 930.56/119.30 ( 930.56/119.30 Y6 @ 930.56/119.30 ( 930.56/119.30 ^[Y8 : 930.56/119.30 ( 930.56/119.30 $i > $i) > 930.56/119.30 $i > $i, 930.56/119.30 Y9 : $i > $i, 930.56/119.30 Y10 : $i]: 930.56/119.30 (c_Inj0 @ 930.56/119.30 c_Empty)) @ 930.56/119.30 ( 930.56/119.30 ^[Y8 : $i, 930.56/119.30 Y9 : $i]: 930.56/119.30 (Y9))))))))))))))))))))) => 930.56/119.30 (((((!!) @ ( 930.56/119.30 ^[Y4 : 930.56/119.30 $i > $i > $i]: 930.56/119.30 (((!!) @ ( 930.56/119.30 ^[Y5 : $i > $i]: 930.56/119.30 (( 930.56/119.30 (!!) @ ( 930.56/119.30 ^[Y6 : $i]: 930.56/119.30 (( 930.56/119.30 (!!) @ ( 930.56/119.30 ^[Y7 : $i > $i]: 930.56/119.30 (( 930.56/119.30 (c_In @ 930.56/119.30 ( 930.56/119.30 c_Inj0 @ 930.56/119.30 ( 930.56/119.30 c_Inj1 @ 930.56/119.30 c_Empty)) @ 930.56/119.30 ( 930.56/119.30 c_setsum @ 930.56/119.30 ( 930.56/119.30 c_setsum @ 930.56/119.30 ( 930.56/119.30 c_Inj0 @ 930.56/119.30 c_Empty) @ 930.56/119.30 ( 930.56/119.30 c_setsum @ 930.56/119.30 ( 930.56/119.30 c_setsum @ 930.56/119.30 c_Empty @ 930.56/119.30 c_Empty) @ 930.56/119.30 ( 930.56/119.30 c_setsum @ 930.56/119.30 c_Empty @ 930.56/119.30 c_Empty))) @ 930.56/119.30 ( 930.56/119.30 c_setsum @ 930.56/119.30 c_Empty @ 930.56/119.30 ( 930.56/119.30 c_setsum @ 930.56/119.30 ( 930.56/119.30 c_Inj0 @ 930.56/119.30 c_Empty) @ 930.56/119.30 ( 930.56/119.30 Y4 @ 930.56/119.30 c_Empty @ 930.56/119.30 c_Empty))))) => 930.56/119.30 (( 930.56/119.30 (Y2 @ 930.56/119.30 ( 930.56/119.30 ^[Y8 : $i]: 930.56/119.30 (c_Empty)) @ 930.56/119.30 ( 930.56/119.30 ^[Y8 : ( 930.56/119.30 ( 930.56/119.30 $i > $i) > $i) > $i, 930.56/119.30 Y9 : 930.56/119.30 $i > $i > $i, 930.56/119.30 Y10 : $i, 930.56/119.30 Y11 : $i]: 930.56/119.30 (c_Empty)) @ 930.56/119.30 ( 930.56/119.30 c_setsum @ 930.56/119.30 ( 930.56/119.30 c_setsum @ 930.56/119.30 c_Empty @ 930.56/119.30 ( 930.56/119.30 c_setsum @ 930.56/119.30 ( 930.56/119.30 c_setsum @ 930.56/119.30 c_Empty @ 930.56/119.30 c_Empty) @ 930.56/119.30 ( 930.56/119.30 c_Inj0 @ 930.56/119.30 c_Empty))) @ 930.56/119.30 ( 930.56/119.30 c_Inj1 @ 930.56/119.30 Y6))) => 930.56/119.30 (Y1 @ 930.56/119.30 ( 930.56/119.30 ^[Y8 : $i, 930.56/119.30 Y9 : ( 930.56/119.30 $i > $i) > $i]: 930.56/119.30 (c_Inj0 @ 930.56/119.30 c_Empty)) @ 930.56/119.30 ( 930.56/119.30 Y4 @ 930.56/119.30 c_Empty @ 930.56/119.30 ( 930.56/119.30 Y5 @ 930.56/119.30 ( 930.56/119.30 c_setsum @ 930.56/119.30 ( 930.56/119.30 c_Inj1 @ 930.56/119.30 c_Empty) @ 930.56/119.30 c_Empty)))))))))))))))))))) => 930.56/119.30 (((((!!) @ ( 930.56/119.30 ^[Y4 : $i]: 930.56/119.30 ( 930.56/119.30 ( 930.56/119.30 (!!) @ ( 930.56/119.30 ^[Y5 : $i > $i]: 930.56/119.30 (( 930.56/119.30 (!!) @ ( 930.56/119.30 ^[Y6 : $i > $i]: 930.56/119.30 (( 930.56/119.30 (!!) @ ( 930.56/119.30 ^[Y7 : $i]: 930.56/119.30 (( 930.56/119.30 (Y3 @ 930.56/119.30 ( 930.56/119.30 ^[Y8 : $i, 930.56/119.30 Y9 : 930.56/119.30 $i > $i > $i]: 930.56/119.30 (c_Empty)) @ 930.56/119.30 c_Empty @ 930.56/119.30 c_Empty) => 930.56/119.30 (Y1 @ 930.56/119.30 ( 930.56/119.30 ^[Y8 : $i, 930.56/119.30 Y9 : ( 930.56/119.30 $i > $i) > $i]: 930.56/119.30 (Y9 @ 930.56/119.30 (^[Y10 : $i]: 930.56/119.30 (c_setsum @ 930.56/119.30 (c_Inj1 @ 930.56/119.30 (c_Inj0 @ 930.56/119.30 c_Empty)) @ 930.56/119.30 (c_setsum @ 930.56/119.30 c_Empty @ 930.56/119.30 c_Empty))))) @ 930.56/119.30 c_Empty))))))))))))))) => 930.56/119.30 (((((!!) @ ( 930.56/119.30 ^[Y4 : $i]: 930.56/119.30 (( 930.56/119.30 (!!) @ ( 930.56/119.30 ^[Y5 : $i]: 930.56/119.30 (( 930.56/119.30 (!!) @ ( 930.56/119.30 ^[Y6 : $i]: 930.56/119.30 (( 930.56/119.30 (!!) @ ( 930.56/119.30 ^[Y7 : $i]: 930.56/119.30 (( 930.56/119.30 (c_In @ 930.56/119.30 ( 930.56/119.30 c_Inj0 @ 930.56/119.30 Y6) @ 930.56/119.30 ( 930.56/119.30 c_setsum @ 930.56/119.30 ( 930.56/119.30 c_setsum @ 930.56/119.30 Y4 @ 930.56/119.30 ( 930.56/119.30 c_setsum @ 930.56/119.30 Y5 @ 930.56/119.30 ( 930.56/119.30 c_setsum @ 930.56/119.30 c_Empty @ 930.56/119.30 c_Empty))) @ 930.56/119.30 ( 930.56/119.30 c_Inj1 @ 930.56/119.30 ( 930.56/119.30 c_setsum @ 930.56/119.30 Y5 @ 930.56/119.30 c_Empty)))) => 930.56/119.30 (( 930.56/119.30 (Y1 @ 930.56/119.30 ( 930.56/119.30 ^[Y8 : $i, 930.56/119.30 Y9 : ( 930.56/119.30 $i > $i) > $i]: 930.56/119.30 (Y7)) @ 930.56/119.30 c_Empty) => 930.56/119.30 (Y2 @ 930.56/119.30 ( 930.56/119.30 ^[Y8 : $i]: 930.56/119.30 (c_Empty)) @ 930.56/119.30 ( 930.56/119.30 ^[Y8 : ( 930.56/119.30 ( 930.56/119.30 $i > $i) > $i) > $i, 930.56/119.30 Y9 : 930.56/119.30 $i > $i > $i, 930.56/119.30 Y10 : $i, 930.56/119.30 Y11 : $i]: 930.56/119.30 (c_setsum @ 930.56/119.30 c_Empty @ 930.56/119.30 c_Empty)) @ 930.56/119.30 Y5))))))))))))))))) => 930.56/119.30 (((( 930.56/119.30 (!!) @ ( 930.56/119.30 ^[Y4 : ( 930.56/119.30 ( 930.56/119.30 ( 930.56/119.30 $i > $i) > 930.56/119.30 $i > $i) > $i) > $i]: 930.56/119.30 (( 930.56/119.30 (!!) @ ( 930.56/119.30 ^[Y5 : $i]: 930.56/119.30 (( 930.56/119.30 (!!) @ ( 930.56/119.30 ^[Y6 : $i]: 930.56/119.30 (( 930.56/119.30 (!!) @ ( 930.56/119.30 ^[Y7 : $i]: 930.56/119.30 (( 930.56/119.30 (c_In @ 930.56/119.30 ( 930.56/119.30 c_Inj1 @ 930.56/119.30 c_Empty) @ 930.56/119.30 Y5) => 930.56/119.30 (( 930.56/119.30 (Y1 @ 930.56/119.30 ( 930.56/119.30 ^[Y8 : $i, 930.56/119.30 Y9 : ( 930.56/119.30 $i > $i) > $i]: 930.56/119.30 (c_Empty)) @ 930.56/119.30 c_Empty) => 930.56/119.30 (Y0 @ 930.56/119.30 ( 930.56/119.30 ^[Y8 : $i, 930.56/119.30 Y9 : $i, 930.56/119.30 Y10 : 930.56/119.30 ( 930.56/119.30 $i > $i) > 930.56/119.30 $i > $i]: 930.56/119.30 (c_Inj1 @ 930.56/119.30 c_Empty)) @ 930.56/119.30 ( 930.56/119.30 c_Inj1 @ 930.56/119.30 ( 930.56/119.30 c_Inj1 @ 930.56/119.30 ( 930.56/119.30 Y4 @ 930.56/119.30 ( 930.56/119.30 ^[Y8 : 930.56/119.30 ( 930.56/119.30 $i > $i) > 930.56/119.30 $i > $i]: 930.56/119.30 (c_Empty))))) @ 930.56/119.30 ( 930.56/119.30 c_Inj1 @ 930.56/119.30 ( 930.56/119.30 c_setsum @ 930.56/119.30 ( 930.56/119.30 c_setsum @ 930.56/119.30 ( 930.56/119.30 c_Inj0 @ 930.56/119.30 c_Empty) @ 930.56/119.30 c_Empty) @ 930.56/119.30 ( 930.56/119.30 c_Inj1 @ 930.56/119.30 ( 930.56/119.30 c_Inj0 @ 930.56/119.30 c_Empty))))))))))))))))))))) => 930.56/119.30 (( 930.56/119.30 (( 930.56/119.30 (!!) @ ( 930.56/119.30 ^[Y4 : $i > $i]: 930.56/119.30 (( 930.56/119.30 (!!) @ ( 930.56/119.30 ^[Y5 : $i]: 930.56/119.30 (( 930.56/119.30 (!!) @ ( 930.56/119.30 ^[Y6 : $i > $i]: 930.56/119.30 (( 930.56/119.30 (!!) @ ( 930.56/119.30 ^[Y7 : $i]: 930.56/119.30 (( 930.56/119.30 (Y0 @ 930.56/119.30 ( 930.56/119.30 ^[Y8 : $i, 930.56/119.30 Y9 : $i, 930.56/119.30 Y10 : 930.56/119.30 ( 930.56/119.30 $i > $i) > 930.56/119.30 $i > $i]: 930.56/119.30 (c_Empty)) @ 930.56/119.30 ( 930.56/119.30 Y4 @ 930.56/119.30 c_Empty) @ 930.56/119.30 Y7) => 930.56/119.30 (c_False))))))))))))))) => 930.56/119.30 (c_False)))))))))))))))))))))))))))))), 930.56/119.30 inference('sup+', [status(thm)], [zip_derived_cl9, zip_derived_cl44])). 930.56/119.30 thf(zip_derived_cl198, plain, 930.56/119.30 (![X2 : ($i > $i > (($i > $i) > $i > $i) > $i) > $i > $i > $o]: 930.56/119.30 (((!!) @ (^[Y0 : ($i > (($i > $i) > $i) > $i) > $i > $o]: 930.56/119.30 (((!!) @ (^[Y1 : ($i > $i) > 930.56/119.30 (((($i > $i) > $i) > $i) > 930.56/119.30 ($i > $i > $i) > $i > $i > $i) > 930.56/119.30 $i > $o]: 930.56/119.30 (((!!) @ (^[Y2 : ($i > ($i > $i > $i) > $i) > 930.56/119.30 $i > $i > $o]: 930.56/119.30 (((((!!) @ (^[Y3 : (($i > $i > $i) > 930.56/119.30 ($i > $i) > 930.56/119.30 $i > $i) > $i]: 930.56/119.30 (((!!) @ (^[Y4 : $i]: 930.56/119.30 (( 930.56/119.30 (!!) @ ( 930.56/119.30 ^[Y5 : $i]: 930.56/119.30 (( 930.56/119.30 (!!) @ ( 930.56/119.30 ^[Y6 : $i]: 930.56/119.30 (( 930.56/119.30 (c_In @ 930.56/119.30 ( 930.56/119.30 c_Inj0 @ 930.56/119.30 Y5) @ 930.56/119.30 ( 930.56/119.30 c_setsum @ 930.56/119.30 ( 930.56/119.30 c_setsum @ 930.56/119.30 c_Empty @ 930.56/119.30 c_Empty) @ 930.56/119.30 ( 930.56/119.30 c_setsum @ 930.56/119.30 Y5 @ 930.56/119.30 ( 930.56/119.30 c_Inj0 @ 930.56/119.30 ( 930.56/119.30 c_setsum @ 930.56/119.30 c_Empty @ 930.56/119.30 c_Empty))))) => 930.56/119.30 (( 930.56/119.30 (Y1 @ 930.56/119.30 ( 930.56/119.30 ^[Y7 : $i]: 930.56/119.30 (c_Inj0 @ 930.56/119.30 (c_Inj0 @ 930.56/119.30 c_Empty))) @ 930.56/119.30 ( 930.56/119.30 ^[Y7 : ( 930.56/119.30 ( 930.56/119.30 $i > $i) > $i) > $i, 930.56/119.30 Y8 : 930.56/119.30 $i > $i > $i, 930.56/119.30 Y9 : $i, 930.56/119.30 Y10 : $i]: 930.56/119.30 (Y9)) @ 930.56/119.30 ( 930.56/119.30 c_setsum @ 930.56/119.30 ( 930.56/119.30 Y3 @ 930.56/119.30 ( 930.56/119.30 ^[Y7 : 930.56/119.30 $i > $i > $i, 930.56/119.30 Y8 : $i > $i, 930.56/119.30 Y9 : $i]: 930.56/119.30 (c_Inj0 @ 930.56/119.30 (c_setsum @ 930.56/119.30 c_Empty @ 930.56/119.30 c_Empty)))) @ 930.56/119.30 c_Empty)) => 930.56/119.30 (Y2 @ 930.56/119.30 ( 930.56/119.30 ^[Y7 : $i, 930.56/119.30 Y8 : 930.56/119.30 $i > $i > $i]: 930.56/119.30 (c_Inj0 @ 930.56/119.30 Y7)) @ 930.56/119.30 Y4 @ 930.56/119.30 ( 930.56/119.30 c_setsum @ 930.56/119.30 ( 930.56/119.30 c_setsum @ 930.56/119.30 ( 930.56/119.30 c_setsum @ 930.56/119.30 c_Empty @ 930.56/119.30 ( 930.56/119.30 c_setsum @ 930.56/119.30 c_Empty @ 930.56/119.30 c_Empty)) @ 930.56/119.30 ( 930.56/119.30 c_Inj0 @ 930.56/119.30 c_Empty)) @ 930.56/119.30 c_Empty)))))))))))))))))) => 930.56/119.30 (((((!!) @ (^[Y3 : ((($i > $i) > 930.56/119.30 $i > $i) > $i) > $i]: 930.56/119.30 (((!!) @ ( 930.56/119.30 ^[Y4 : $i > $i]: 930.56/119.30 (((!!) @ ( 930.56/119.30 ^[Y5 : $i]: 930.56/119.30 ( 930.56/119.30 ( 930.56/119.30 (!!) @ ( 930.56/119.30 ^[Y6 : $i]: 930.56/119.30 (( 930.56/119.30 (Y2 @ 930.56/119.30 ( 930.56/119.30 ^[Y7 : $i, 930.56/119.30 Y8 : 930.56/119.30 $i > $i > $i]: 930.56/119.30 (c_Empty)) @ 930.56/119.30 Y6 @ 930.56/119.30 ( 930.56/119.30 c_setsum @ 930.56/119.30 ( 930.56/119.30 c_setsum @ 930.56/119.30 ( 930.56/119.30 c_setsum @ 930.56/119.30 ( 930.56/119.30 c_setsum @ 930.56/119.30 c_Empty @ 930.56/119.30 c_Empty) @ 930.56/119.30 c_Empty) @ 930.56/119.30 ( 930.56/119.30 c_setsum @ 930.56/119.30 ( 930.56/119.30 c_setsum @ 930.56/119.30 c_Empty @ 930.56/119.30 c_Empty) @ 930.56/119.30 ( 930.56/119.30 c_Inj0 @ 930.56/119.30 c_Empty))) @ 930.56/119.30 ( 930.56/119.30 c_setsum @ 930.56/119.30 c_Empty @ 930.56/119.30 ( 930.56/119.30 c_Inj1 @ 930.56/119.30 ( 930.56/119.30 c_setsum @ 930.56/119.30 c_Empty @ 930.56/119.30 c_Empty))))) => 930.56/119.30 (Y2 @ 930.56/119.30 ( 930.56/119.30 ^[Y7 : $i, 930.56/119.30 Y8 : 930.56/119.30 $i > $i > $i]: 930.56/119.30 (Y6)) @ 930.56/119.30 ( 930.56/119.30 c_setsum @ 930.56/119.30 ( 930.56/119.30 Y3 @ 930.56/119.30 ( 930.56/119.30 ^[Y7 : 930.56/119.30 ( 930.56/119.30 $i > $i) > 930.56/119.30 $i > $i]: 930.56/119.30 (Y6))) @ 930.56/119.30 Y5) @ 930.56/119.30 ( 930.56/119.30 c_Inj0 @ 930.56/119.30 ( 930.56/119.30 c_Inj1 @ 930.56/119.30 ( 930.56/119.30 c_setsum @ 930.56/119.30 ( 930.56/119.30 c_setsum @ 930.56/119.30 c_Empty @ 930.56/119.30 c_Empty) @ 930.56/119.30 ( 930.56/119.30 c_setsum @ 930.56/119.30 c_Empty @ 930.56/119.30 c_Empty))))))))))))))))))) => 930.56/119.30 (((((!!) @ (^[Y3 : $i]: 930.56/119.30 (((!!) @ ( 930.56/119.30 ^[Y4 : 930.56/119.30 $i > 930.56/119.30 (($i > $i) > 930.56/119.30 $i > $i) > $i]: 930.56/119.30 (((!!) @ ( 930.56/119.30 ^[Y5 : 930.56/119.30 ( 930.56/119.30 ( 930.56/119.30 ( 930.56/119.30 $i > $i) > 930.56/119.30 $i > $i) > 930.56/119.30 ( 930.56/119.30 $i > $i) > 930.56/119.30 $i > $i) > 930.56/119.30 ( 930.56/119.30 $i > $i > $i) > $i]: 930.56/119.30 (( 930.56/119.30 (!!) @ ( 930.56/119.30 ^[Y6 : $i]: 930.56/119.30 (( 930.56/119.30 (c_In @ 930.56/119.30 ( 930.56/119.30 c_Inj0 @ 930.56/119.30 c_Empty) @ 930.56/119.30 ( 930.56/119.30 c_setsum @ 930.56/119.30 c_Empty @ 930.56/119.30 ( 930.56/119.30 Y4 @ 930.56/119.30 ( 930.56/119.30 c_Inj0 @ 930.56/119.30 ( 930.56/119.30 c_setsum @ 930.56/119.30 c_Empty @ 930.56/119.30 c_Empty)) @ 930.56/119.30 ( 930.56/119.30 ^[Y7 : $i > $i, 930.56/119.30 Y8 : $i]: 930.56/119.30 (c_Inj0 @ 930.56/119.30 c_Empty))))) => 930.56/119.30 (( 930.56/119.30 (X2 @ 930.56/119.30 ( 930.56/119.30 ^[Y7 : $i, 930.56/119.30 Y8 : $i, 930.56/119.30 Y9 : 930.56/119.30 ( 930.56/119.30 $i > $i) > 930.56/119.30 $i > $i]: 930.56/119.30 (Y7)) @ 930.56/119.30 Y6 @ 930.56/119.30 ( 930.56/119.30 Y5 @ 930.56/119.30 ( 930.56/119.30 ^[Y7 : 930.56/119.30 ( 930.56/119.30 $i > $i) > 930.56/119.30 $i > $i, 930.56/119.30 Y8 : $i > $i, 930.56/119.30 Y9 : $i]: 930.56/119.30 (c_Inj1 @ 930.56/119.30 c_Empty)) @ 930.56/119.30 ( 930.56/119.30 ^[Y7 : $i, 930.56/119.30 Y8 : $i]: 930.56/119.30 (c_Empty)))) => 930.56/119.30 (Y1 @ 930.56/119.30 ( 930.56/119.30 ^[Y7 : $i]: 930.56/119.30 (Y7)) @ 930.56/119.30 ( 930.56/119.30 ^[Y7 : ( 930.56/119.30 ( 930.56/119.30 $i > $i) > $i) > $i, 930.56/119.30 Y8 : 930.56/119.30 $i > $i > $i, 930.56/119.30 Y9 : $i, 930.56/119.30 Y10 : $i]: 930.56/119.30 (Y9)) @ 930.56/119.30 ( 930.56/119.30 c_setsum @ 930.56/119.30 ( 930.56/119.30 c_Inj0 @ 930.56/119.30 c_Empty) @ 930.56/119.30 ( 930.56/119.30 Y5 @ 930.56/119.30 ( 930.56/119.30 ^[Y7 : 930.56/119.30 ( 930.56/119.30 $i > $i) > 930.56/119.30 $i > $i, 930.56/119.30 Y8 : $i > $i, 930.56/119.30 Y9 : $i]: 930.56/119.30 (c_Inj0 @ 930.56/119.30 c_Empty)) @ 930.56/119.30 ( 930.56/119.30 ^[Y7 : $i, 930.56/119.30 Y8 : $i]: 930.56/119.30 (Y8))))))))))))))))))))) => 930.56/119.30 (((((!!) @ (^[Y3 : 930.56/119.30 $i > $i > $i]: 930.56/119.30 (((!!) @ ( 930.56/119.30 ^[Y4 : $i > $i]: 930.56/119.30 ( 930.56/119.30 ( 930.56/119.30 (!!) @ ( 930.56/119.30 ^[Y5 : $i]: 930.56/119.30 (( 930.56/119.30 (!!) @ ( 930.56/119.30 ^[Y6 : $i > $i]: 930.56/119.30 (( 930.56/119.30 (c_In @ 930.56/119.30 ( 930.56/119.30 c_Inj0 @ 930.56/119.30 ( 930.56/119.30 c_Inj1 @ 930.56/119.30 c_Empty)) @ 930.56/119.30 ( 930.56/119.30 c_setsum @ 930.56/119.30 ( 930.56/119.30 c_setsum @ 930.56/119.30 ( 930.56/119.30 c_Inj0 @ 930.56/119.30 c_Empty) @ 930.56/119.30 ( 930.56/119.30 c_setsum @ 930.56/119.30 ( 930.56/119.30 c_setsum @ 930.56/119.30 c_Empty @ 930.56/119.30 c_Empty) @ 930.56/119.30 ( 930.56/119.30 c_setsum @ 930.56/119.30 c_Empty @ 930.56/119.30 c_Empty))) @ 930.56/119.30 ( 930.56/119.30 c_setsum @ 930.56/119.30 c_Empty @ 930.56/119.30 ( 930.56/119.30 c_setsum @ 930.56/119.30 ( 930.56/119.30 c_Inj0 @ 930.56/119.30 c_Empty) @ 930.56/119.30 ( 930.56/119.30 Y3 @ 930.56/119.30 c_Empty @ 930.56/119.30 c_Empty))))) => 930.56/119.30 (( 930.56/119.30 (Y1 @ 930.56/119.30 ( 930.56/119.30 ^[Y7 : $i]: 930.56/119.30 (c_Empty)) @ 930.56/119.30 ( 930.56/119.30 ^[Y7 : ( 930.56/119.30 ( 930.56/119.30 $i > $i) > $i) > $i, 930.56/119.30 Y8 : 930.56/119.30 $i > $i > $i, 930.56/119.30 Y9 : $i, 930.56/119.30 Y10 : $i]: 930.56/119.30 (c_Empty)) @ 930.56/119.30 ( 930.56/119.30 c_setsum @ 930.56/119.30 ( 930.56/119.30 c_setsum @ 930.56/119.30 c_Empty @ 930.56/119.30 ( 930.56/119.30 c_setsum @ 930.56/119.30 ( 930.56/119.30 c_setsum @ 930.56/119.30 c_Empty @ 930.56/119.30 c_Empty) @ 930.56/119.30 ( 930.56/119.30 c_Inj0 @ 930.56/119.30 c_Empty))) @ 930.56/119.30 ( 930.56/119.30 c_Inj1 @ 930.56/119.30 Y5))) => 930.56/119.30 (Y0 @ 930.56/119.30 ( 930.56/119.30 ^[Y7 : $i, 930.56/119.30 Y8 : ( 930.56/119.30 $i > $i) > $i]: 930.56/119.30 (c_Inj0 @ 930.56/119.30 c_Empty)) @ 930.56/119.30 ( 930.56/119.30 Y3 @ 930.56/119.30 c_Empty @ 930.56/119.30 ( 930.56/119.30 Y4 @ 930.56/119.30 ( 930.56/119.30 c_setsum @ 930.56/119.30 ( 930.56/119.30 c_Inj1 @ 930.56/119.30 c_Empty) @ 930.56/119.30 c_Empty)))))))))))))))))))) => 930.56/119.30 (((((!!) @ (^[Y3 : $i]: 930.56/119.30 (((!!) @ ( 930.56/119.30 ^[Y4 : $i > $i]: 930.56/119.30 (( 930.56/119.30 (!!) @ ( 930.56/119.30 ^[Y5 : $i > $i]: 930.56/119.30 (( 930.56/119.30 (!!) @ ( 930.56/119.30 ^[Y6 : $i]: 930.56/119.30 (( 930.56/119.30 (Y2 @ 930.56/119.30 ( 930.56/119.30 ^[Y7 : $i, 930.56/119.30 Y8 : 930.56/119.30 $i > $i > $i]: 930.56/119.30 (c_Empty)) @ 930.56/119.30 c_Empty @ 930.56/119.30 c_Empty) => 930.56/119.30 (Y0 @ 930.56/119.30 ( 930.56/119.30 ^[Y7 : $i, 930.56/119.30 Y8 : ( 930.56/119.30 $i > $i) > $i]: 930.56/119.30 (Y8 @ 930.56/119.30 (^[Y9 : $i]: 930.56/119.30 (c_setsum @ 930.56/119.30 (c_Inj1 @ 930.56/119.30 (c_Inj0 @ 930.56/119.30 c_Empty)) @ 930.56/119.30 (c_setsum @ 930.56/119.30 c_Empty @ 930.56/119.30 c_Empty))))) @ 930.56/119.30 c_Empty))))))))))))))) => 930.56/119.30 (((((!!) @ (^[Y3 : $i]: 930.56/119.30 ( 930.56/119.30 ( 930.56/119.30 (!!) @ ( 930.56/119.30 ^[Y4 : $i]: 930.56/119.30 (( 930.56/119.30 (!!) @ ( 930.56/119.30 ^[Y5 : $i]: 930.56/119.30 (( 930.56/119.30 (!!) @ ( 930.56/119.30 ^[Y6 : $i]: 930.56/119.30 (( 930.56/119.30 (c_In @ 930.56/119.30 ( 930.56/119.30 c_Inj0 @ 930.56/119.30 Y5) @ 930.56/119.30 ( 930.56/119.30 c_setsum @ 930.56/119.30 ( 930.56/119.30 c_setsum @ 930.56/119.30 Y3 @ 930.56/119.30 ( 930.56/119.30 c_setsum @ 930.56/119.30 Y4 @ 930.56/119.30 ( 930.56/119.30 c_setsum @ 930.56/119.30 c_Empty @ 930.56/119.30 c_Empty))) @ 930.56/119.30 ( 930.56/119.30 c_Inj1 @ 930.56/119.30 ( 930.56/119.30 c_setsum @ 930.56/119.30 Y4 @ 930.56/119.30 c_Empty)))) => 930.56/119.30 (( 930.56/119.30 (Y0 @ 930.56/119.30 ( 930.56/119.30 ^[Y7 : $i, 930.56/119.30 Y8 : ( 930.56/119.30 $i > $i) > $i]: 930.56/119.30 (Y6)) @ 930.56/119.30 c_Empty) => 930.56/119.30 (Y1 @ 930.56/119.30 ( 930.56/119.30 ^[Y7 : $i]: 930.56/119.30 (c_Empty)) @ 930.56/119.30 ( 930.56/119.30 ^[Y7 : ( 930.56/119.30 ( 930.56/119.30 $i > $i) > $i) > $i, 930.56/119.30 Y8 : 930.56/119.30 $i > $i > $i, 930.56/119.30 Y9 : $i, 930.56/119.30 Y10 : $i]: 930.56/119.30 (c_setsum @ 930.56/119.30 c_Empty @ 930.56/119.30 c_Empty)) @ 930.56/119.30 Y4))))))))))))))))) => 930.56/119.30 (((((!!) @ (^[Y3 : ( 930.56/119.30 ( 930.56/119.30 ( 930.56/119.30 $i > $i) > 930.56/119.30 $i > $i) > $i) > $i]: 930.56/119.30 (( 930.56/119.30 (!!) @ ( 930.56/119.30 ^[Y4 : $i]: 930.56/119.30 (( 930.56/119.30 (!!) @ ( 930.56/119.30 ^[Y5 : $i]: 930.56/119.30 (( 930.56/119.30 (!!) @ ( 930.56/119.30 ^[Y6 : $i]: 930.56/119.30 (( 930.56/119.30 (c_In @ 930.56/119.30 ( 930.56/119.30 c_Inj1 @ 930.56/119.30 c_Empty) @ 930.56/119.30 Y4) => 930.56/119.30 (( 930.56/119.30 (Y0 @ 930.56/119.30 ( 930.56/119.30 ^[Y7 : $i, 930.56/119.30 Y8 : ( 930.56/119.30 $i > $i) > $i]: 930.56/119.30 (c_Empty)) @ 930.56/119.30 c_Empty) => 930.56/119.30 (X2 @ 930.56/119.30 ( 930.56/119.30 ^[Y7 : $i, 930.56/119.30 Y8 : $i, 930.56/119.30 Y9 : 930.56/119.30 ( 930.56/119.30 $i > $i) > 930.56/119.30 $i > $i]: 930.56/119.30 (c_Inj1 @ 930.56/119.30 c_Empty)) @ 930.56/119.30 ( 930.56/119.30 c_Inj1 @ 930.56/119.30 ( 930.56/119.30 c_Inj1 @ 930.56/119.30 ( 930.56/119.30 Y3 @ 930.56/119.30 ( 930.56/119.30 ^[Y7 : 930.56/119.30 ( 930.56/119.30 $i > $i) > 930.56/119.30 $i > $i]: 930.56/119.30 (c_Empty))))) @ 930.56/119.30 ( 930.56/119.30 c_Inj1 @ 930.56/119.30 ( 930.56/119.30 c_setsum @ 930.56/119.30 ( 930.56/119.30 c_setsum @ 930.56/119.30 ( 930.56/119.30 c_Inj0 @ 930.56/119.30 c_Empty) @ 930.56/119.30 c_Empty) @ 930.56/119.30 ( 930.56/119.30 c_Inj1 @ 930.56/119.30 ( 930.56/119.30 c_Inj0 @ 930.56/119.30 c_Empty))))))))))))))))))))) => 930.56/119.30 (((((!!) @ ( 930.56/119.30 ^[Y3 : $i > $i]: 930.56/119.30 (((!!) @ ( 930.56/119.30 ^[Y4 : $i]: 930.56/119.30 ( 930.56/119.30 ( 930.56/119.30 (!!) @ ( 930.56/119.30 ^[Y5 : $i > $i]: 930.56/119.30 (( 930.56/119.30 (!!) @ ( 930.56/119.30 ^[Y6 : $i]: 930.56/119.30 (( 930.56/119.30 (X2 @ 930.56/119.30 ( 930.56/119.30 ^[Y7 : $i, 930.56/119.30 Y8 : $i, 930.56/119.30 Y9 : 930.56/119.30 ( 930.56/119.30 $i > $i) > 930.56/119.30 $i > $i]: 930.56/119.30 (c_Empty)) @ 930.56/119.30 ( 930.56/119.30 Y3 @ 930.56/119.30 c_Empty) @ 930.56/119.30 Y6) => 930.56/119.30 (c_False))))))))))))))) => 930.56/119.30 (c_False))))))))))))))))))))))))))), 930.56/119.30 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl69])). 930.56/119.30 thf(zip_derived_cl200, plain, 930.56/119.30 ( (((!!) @ (^[Y0 : ($i > (($i > $i) > $i) > $i) > $i > $o]: 930.56/119.30 (((!!) @ (^[Y1 : ($i > $i) > 930.56/119.30 (((($i > $i) > $i) > $i) > 930.56/119.30 ($i > $i > $i) > $i > $i > $i) > 930.56/119.30 $i > $o]: 930.56/119.30 (((!!) @ (^[Y2 : ($i > ($i > $i > $i) > $i) > 930.56/119.30 $i > $i > $o]: 930.56/119.30 (((((!!) @ (^[Y3 : (($i > $i > $i) > 930.56/119.30 ($i > $i) > $i > $i) > $i]: 930.56/119.30 (((!!) @ (^[Y4 : $i]: 930.56/119.30 ( 930.56/119.30 ( 930.56/119.30 (!!) @ ( 930.56/119.30 ^[Y5 : $i]: 930.56/119.30 (( 930.56/119.30 (!!) @ ( 930.56/119.30 ^[Y6 : $i]: 930.56/119.30 (( 930.56/119.30 (c_In @ 930.56/119.30 ( 930.56/119.30 c_Inj0 @ 930.56/119.30 Y5) @ 930.56/119.30 ( 930.56/119.30 c_setsum @ 930.56/119.30 ( 930.56/119.30 c_setsum @ 930.56/119.30 c_Empty @ 930.56/119.30 c_Empty) @ 930.56/119.30 ( 930.56/119.30 c_setsum @ 930.56/119.30 Y5 @ 930.56/119.30 ( 930.56/119.30 c_Inj0 @ 930.56/119.30 ( 930.56/119.30 c_setsum @ 930.56/119.30 c_Empty @ 930.56/119.30 c_Empty))))) => 930.56/119.30 (( 930.56/119.30 (Y1 @ 930.56/119.30 ( 930.56/119.30 ^[Y7 : $i]: 930.56/119.30 (c_Inj0 @ 930.56/119.30 (c_Inj0 @ 930.56/119.30 c_Empty))) @ 930.56/119.30 ( 930.56/119.30 ^[Y7 : ( 930.56/119.30 ( 930.56/119.30 $i > $i) > $i) > $i, 930.56/119.30 Y8 : 930.56/119.30 $i > $i > $i, 930.56/119.30 Y9 : $i, 930.56/119.30 Y10 : $i]: 930.56/119.30 (Y9)) @ 930.56/119.30 ( 930.56/119.30 c_setsum @ 930.56/119.30 ( 930.56/119.30 Y3 @ 930.56/119.30 ( 930.56/119.30 ^[Y7 : 930.56/119.30 $i > $i > $i, 930.56/119.30 Y8 : $i > $i, 930.56/119.30 Y9 : $i]: 930.56/119.30 (c_Inj0 @ 930.56/119.30 (c_setsum @ 930.56/119.30 c_Empty @ 930.56/119.30 c_Empty)))) @ 930.56/119.30 c_Empty)) => 930.56/119.30 (Y2 @ 930.56/119.30 ( 930.56/119.30 ^[Y7 : $i, 930.56/119.30 Y8 : 930.56/119.30 $i > $i > $i]: 930.56/119.30 (c_Inj0 @ 930.56/119.30 Y7)) @ 930.56/119.30 Y4 @ 930.56/119.30 ( 930.56/119.30 c_setsum @ 930.56/119.30 ( 930.56/119.30 c_setsum @ 930.56/119.30 ( 930.56/119.30 c_setsum @ 930.56/119.30 c_Empty @ 930.56/119.30 ( 930.56/119.30 c_setsum @ 930.56/119.30 c_Empty @ 930.56/119.30 c_Empty)) @ 930.56/119.30 ( 930.56/119.30 c_Inj0 @ 930.56/119.30 c_Empty)) @ 930.56/119.30 c_Empty)))))))))))))))))) => 930.56/119.30 (((((!!) @ (^[Y3 : ((($i > $i) > 930.56/119.30 $i > $i) > $i) > $i]: 930.56/119.30 (((!!) @ (^[Y4 : $i > $i]: 930.56/119.30 (( 930.56/119.30 (!!) @ ( 930.56/119.30 ^[Y5 : $i]: 930.56/119.30 (( 930.56/119.30 (!!) @ ( 930.56/119.30 ^[Y6 : $i]: 930.56/119.30 (( 930.56/119.30 (Y2 @ 930.56/119.30 ( 930.56/119.30 ^[Y7 : $i, 930.56/119.30 Y8 : 930.56/119.30 $i > $i > $i]: 930.56/119.30 (c_Empty)) @ 930.56/119.30 Y6 @ 930.56/119.30 ( 930.56/119.30 c_setsum @ 930.56/119.30 ( 930.56/119.30 c_setsum @ 930.56/119.30 ( 930.56/119.30 c_setsum @ 930.56/119.30 ( 930.56/119.30 c_setsum @ 930.56/119.30 c_Empty @ 930.56/119.30 c_Empty) @ 930.56/119.30 c_Empty) @ 930.56/119.30 ( 930.56/119.30 c_setsum @ 930.56/119.30 ( 930.56/119.30 c_setsum @ 930.56/119.30 c_Empty @ 930.56/119.30 c_Empty) @ 930.56/119.30 ( 930.56/119.30 c_Inj0 @ 930.56/119.30 c_Empty))) @ 930.56/119.30 ( 930.56/119.30 c_setsum @ 930.56/119.30 c_Empty @ 930.56/119.30 ( 930.56/119.30 c_Inj1 @ 930.56/119.30 ( 930.56/119.30 c_setsum @ 930.56/119.30 c_Empty @ 930.56/119.30 c_Empty))))) => 930.56/119.30 (Y2 @ 930.56/119.30 ( 930.56/119.30 ^[Y7 : $i, 930.56/119.30 Y8 : 930.56/119.30 $i > $i > $i]: 930.56/119.30 (Y6)) @ 930.56/119.30 ( 930.56/119.30 c_setsum @ 930.56/119.30 ( 930.56/119.30 Y3 @ 930.56/119.30 ( 930.56/119.30 ^[Y7 : 930.56/119.30 ( 930.56/119.30 $i > $i) > 930.56/119.30 $i > $i]: 930.56/119.30 (Y6))) @ 930.56/119.30 Y5) @ 930.56/119.30 ( 930.56/119.30 c_Inj0 @ 930.56/119.30 ( 930.56/119.30 c_Inj1 @ 930.56/119.30 ( 930.56/119.30 c_setsum @ 930.56/119.30 ( 930.56/119.30 c_setsum @ 930.56/119.30 c_Empty @ 930.56/119.30 c_Empty) @ 930.56/119.30 ( 930.56/119.30 c_setsum @ 930.56/119.30 c_Empty @ 930.56/119.30 c_Empty))))))))))))))))))) => 930.56/119.30 (((((!!) @ (^[Y3 : $i]: 930.56/119.30 (((!!) @ ( 930.56/119.30 ^[Y4 : 930.56/119.30 $i > 930.56/119.30 (($i > $i) > 930.56/119.30 $i > $i) > $i]: 930.56/119.30 (((!!) @ ( 930.56/119.30 ^[Y5 : 930.56/119.30 ( 930.56/119.30 ( 930.56/119.30 ( 930.56/119.30 $i > $i) > 930.56/119.30 $i > $i) > 930.56/119.30 ( 930.56/119.30 $i > $i) > 930.56/119.30 $i > $i) > 930.56/119.30 ( 930.56/119.30 $i > $i > $i) > $i]: 930.56/119.30 ( 930.56/119.30 ( 930.56/119.30 (!!) @ ( 930.56/119.30 ^[Y6 : $i]: 930.56/119.30 (( 930.56/119.30 (c_In @ 930.56/119.30 ( 930.56/119.30 c_Inj0 @ 930.56/119.30 c_Empty) @ 930.56/119.30 ( 930.56/119.30 c_setsum @ 930.56/119.30 c_Empty @ 930.56/119.30 ( 930.56/119.30 Y4 @ 930.56/119.30 ( 930.56/119.30 c_Inj0 @ 930.56/119.30 ( 930.56/119.30 c_setsum @ 930.56/119.30 c_Empty @ 930.56/119.30 c_Empty)) @ 930.56/119.30 ( 930.56/119.30 ^[Y7 : $i > $i, 930.56/119.30 Y8 : $i]: 930.56/119.30 (c_Inj0 @ 930.56/119.30 c_Empty))))) => 930.56/119.30 (( 930.56/119.30 ($false) => 930.56/119.30 (Y1 @ 930.56/119.30 ( 930.56/119.30 ^[Y7 : $i]: 930.56/119.30 (Y7)) @ 930.56/119.30 ( 930.56/119.30 ^[Y7 : ( 930.56/119.30 ( 930.56/119.30 $i > $i) > $i) > $i, 930.56/119.30 Y8 : 930.56/119.30 $i > $i > $i, 930.56/119.30 Y9 : $i, 930.56/119.30 Y10 : $i]: 930.56/119.30 (Y9)) @ 930.56/119.30 ( 930.56/119.30 c_setsum @ 930.56/119.30 ( 930.56/119.30 c_Inj0 @ 930.56/119.30 c_Empty) @ 930.56/119.30 ( 930.56/119.30 Y5 @ 930.56/119.30 ( 930.56/119.30 ^[Y7 : 930.56/119.30 ( 930.56/119.30 $i > $i) > 930.56/119.30 $i > $i, 930.56/119.30 Y8 : $i > $i, 930.56/119.30 Y9 : $i]: 930.56/119.30 (c_Inj0 @ 930.56/119.30 c_Empty)) @ 930.56/119.30 ( 930.56/119.30 ^[Y7 : $i, 930.56/119.30 Y8 : $i]: 930.56/119.30 (Y8))))))))))))))))))))) => 930.56/119.30 (((((!!) @ (^[Y3 : $i > $i > $i]: 930.56/119.30 (((!!) @ ( 930.56/119.30 ^[Y4 : $i > $i]: 930.56/119.30 (((!!) @ ( 930.56/119.30 ^[Y5 : $i]: 930.56/119.30 (( 930.56/119.30 (!!) @ ( 930.56/119.30 ^[Y6 : $i > $i]: 930.56/119.30 (( 930.56/119.30 (c_In @ 930.56/119.30 ( 930.56/119.30 c_Inj0 @ 930.56/119.30 ( 930.56/119.30 c_Inj1 @ 930.56/119.30 c_Empty)) @ 930.56/119.30 ( 930.56/119.30 c_setsum @ 930.56/119.30 ( 930.56/119.30 c_setsum @ 930.56/119.30 ( 930.56/119.30 c_Inj0 @ 930.56/119.30 c_Empty) @ 930.56/119.30 ( 930.56/119.30 c_setsum @ 930.56/119.30 ( 930.56/119.30 c_setsum @ 930.56/119.30 c_Empty @ 930.56/119.30 c_Empty) @ 930.56/119.30 ( 930.56/119.30 c_setsum @ 930.56/119.30 c_Empty @ 930.56/119.30 c_Empty))) @ 930.56/119.30 ( 930.56/119.30 c_setsum @ 930.56/119.30 c_Empty @ 930.56/119.30 ( 930.56/119.30 c_setsum @ 930.56/119.30 ( 930.56/119.30 c_Inj0 @ 930.56/119.30 c_Empty) @ 930.56/119.30 ( 930.56/119.30 Y3 @ 930.56/119.30 c_Empty @ 930.56/119.30 c_Empty))))) => 930.56/119.30 (( 930.56/119.30 (Y1 @ 930.56/119.30 ( 930.56/119.30 ^[Y7 : $i]: 930.56/119.30 (c_Empty)) @ 930.56/119.30 ( 930.56/119.30 ^[Y7 : ( 930.56/119.30 ( 930.56/119.30 $i > $i) > $i) > $i, 930.56/119.30 Y8 : 930.56/119.30 $i > $i > $i, 930.56/119.30 Y9 : $i, 930.56/119.30 Y10 : $i]: 930.56/119.30 (c_Empty)) @ 930.56/119.30 ( 930.56/119.30 c_setsum @ 930.56/119.30 ( 930.56/119.30 c_setsum @ 930.56/119.30 c_Empty @ 930.56/119.30 ( 930.56/119.30 c_setsum @ 930.56/119.30 ( 930.56/119.30 c_setsum @ 930.56/119.30 c_Empty @ 930.56/119.30 c_Empty) @ 930.56/119.30 ( 930.56/119.30 c_Inj0 @ 930.56/119.30 c_Empty))) @ 930.56/119.30 ( 930.56/119.30 c_Inj1 @ 930.56/119.30 Y5))) => 930.56/119.30 (Y0 @ 930.56/119.30 ( 930.56/119.30 ^[Y7 : $i, 930.56/119.30 Y8 : ( 930.56/119.30 $i > $i) > $i]: 930.56/119.30 (c_Inj0 @ 930.56/119.30 c_Empty)) @ 930.56/119.30 ( 930.56/119.30 Y3 @ 930.56/119.30 c_Empty @ 930.56/119.30 ( 930.56/119.30 Y4 @ 930.56/119.30 ( 930.56/119.30 c_setsum @ 930.56/119.30 ( 930.56/119.30 c_Inj1 @ 930.56/119.30 c_Empty) @ 930.56/119.30 c_Empty)))))))))))))))))))) => 930.56/119.30 (((((!!) @ (^[Y3 : $i]: 930.56/119.30 (((!!) @ ( 930.56/119.30 ^[Y4 : $i > $i]: 930.56/119.30 ( 930.56/119.30 ( 930.56/119.30 (!!) @ ( 930.56/119.30 ^[Y5 : $i > $i]: 930.56/119.30 (( 930.56/119.30 (!!) @ ( 930.56/119.30 ^[Y6 : $i]: 930.56/119.30 (( 930.56/119.30 (Y2 @ 930.56/119.30 ( 930.56/119.30 ^[Y7 : $i, 930.56/119.30 Y8 : 930.56/119.30 $i > $i > $i]: 930.56/119.30 (c_Empty)) @ 930.56/119.30 c_Empty @ 930.56/119.30 c_Empty) => 930.56/119.30 (Y0 @ 930.56/119.30 ( 930.56/119.30 ^[Y7 : $i, 930.56/119.30 Y8 : ( 930.56/119.30 $i > $i) > $i]: 930.56/119.30 (Y8 @ 930.56/119.30 (^[Y9 : $i]: 930.56/119.30 (c_setsum @ 930.56/119.30 (c_Inj1 @ 930.56/119.30 (c_Inj0 @ 930.56/119.30 c_Empty)) @ 930.56/119.30 (c_setsum @ 930.56/119.30 c_Empty @ 930.56/119.30 c_Empty))))) @ 930.56/119.30 c_Empty))))))))))))))) => 930.56/119.30 (((((!!) @ (^[Y3 : $i]: 930.56/119.30 (((!!) @ ( 930.56/119.30 ^[Y4 : $i]: 930.56/119.30 (( 930.56/119.30 (!!) @ ( 930.56/119.30 ^[Y5 : $i]: 930.56/119.30 (( 930.56/119.30 (!!) @ ( 930.56/119.30 ^[Y6 : $i]: 930.56/119.30 (( 930.56/119.30 (c_In @ 930.56/119.30 ( 930.56/119.30 c_Inj0 @ 930.56/119.30 Y5) @ 930.56/119.30 ( 930.56/119.30 c_setsum @ 930.56/119.30 ( 930.56/119.30 c_setsum @ 930.56/119.30 Y3 @ 930.56/119.30 ( 930.56/119.30 c_setsum @ 930.56/119.30 Y4 @ 930.56/119.30 ( 930.56/119.30 c_setsum @ 930.56/119.30 c_Empty @ 930.56/119.30 c_Empty))) @ 930.56/119.30 ( 930.56/119.30 c_Inj1 @ 930.56/119.30 ( 930.56/119.30 c_setsum @ 930.56/119.30 Y4 @ 930.56/119.30 c_Empty)))) => 930.56/119.30 (( 930.56/119.30 (Y0 @ 930.56/119.30 ( 930.56/119.30 ^[Y7 : $i, 930.56/119.30 Y8 : ( 930.56/119.30 $i > $i) > $i]: 930.56/119.30 (Y6)) @ 930.56/119.30 c_Empty) => 930.56/119.30 (Y1 @ 930.56/119.30 ( 930.56/119.30 ^[Y7 : $i]: 930.56/119.30 (c_Empty)) @ 930.56/119.30 ( 930.56/119.30 ^[Y7 : ( 930.56/119.30 ( 930.56/119.30 $i > $i) > $i) > $i, 930.56/119.30 Y8 : 930.56/119.30 $i > $i > $i, 930.56/119.30 Y9 : $i, 930.56/119.30 Y10 : $i]: 930.56/119.30 (c_setsum @ 930.56/119.30 c_Empty @ 930.56/119.30 c_Empty)) @ 930.56/119.30 Y4))))))))))))))))) => 930.56/119.30 (((((!!) @ (^[Y3 : ( 930.56/119.30 ( 930.56/119.30 ( 930.56/119.30 $i > $i) > 930.56/119.30 $i > $i) > $i) > $i]: 930.56/119.30 ( 930.56/119.30 ( 930.56/119.30 (!!) @ ( 930.56/119.30 ^[Y4 : $i]: 930.56/119.30 (( 930.56/119.30 (!!) @ ( 930.56/119.30 ^[Y5 : $i]: 930.56/119.30 (( 930.56/119.30 (!!) @ ( 930.56/119.30 ^[Y6 : $i]: 930.56/119.30 (( 930.56/119.30 (c_In @ 930.56/119.30 ( 930.56/119.30 c_Inj1 @ 930.56/119.30 c_Empty) @ 930.56/119.30 Y4) => 930.56/119.30 (( 930.56/119.30 (Y0 @ 930.56/119.30 ( 930.56/119.30 ^[Y7 : $i, 930.56/119.30 Y8 : ( 930.56/119.30 $i > $i) > $i]: 930.56/119.30 (c_Empty)) @ 930.56/119.30 c_Empty) => 930.56/119.30 ($false))))))))))))))))) => 930.56/119.30 (((((!!) @ (^[Y3 : $i > $i]: 930.56/119.30 (( 930.56/119.30 (!!) @ ( 930.56/119.30 ^[Y4 : $i]: 930.56/119.30 (( 930.56/119.30 (!!) @ ( 930.56/119.30 ^[Y5 : $i > $i]: 930.56/119.30 (( 930.56/119.30 (!!) @ ( 930.56/119.30 ^[Y6 : $i]: 930.56/119.30 (( 930.56/119.30 ($false) => 930.56/119.30 (c_False))))))))))))))) => 930.56/119.30 (c_False))))))))))))))))))))))))))), 930.56/119.30 inference('ho.refine.early.bird', [status(thm)], [zip_derived_cl198])). 930.56/119.30 thf(zip_derived_cl471, plain, 930.56/119.30 ( (((!!) @ (^[Y0 : ($i > (($i > $i) > $i) > $i) > $i > $o]: 930.56/119.30 (((!!) @ (^[Y1 : ($i > $i) > 930.56/119.30 (((($i > $i) > $i) > $i) > 930.56/119.30 ($i > $i > $i) > $i > $i > $i) > 930.56/119.30 $i > $o]: 930.56/119.30 (((!!) @ (^[Y2 : ($i > ($i > $i > $i) > $i) > 930.56/119.30 $i > $i > $o]: 930.56/119.30 (((((!!) @ (^[Y3 : (($i > $i > $i) > 930.56/119.30 ($i > $i) > $i > $i) > $i]: 930.56/119.30 (((!!) @ (^[Y4 : $i]: 930.56/119.30 ( 930.56/119.30 ( 930.56/119.30 (!!) @ ( 930.56/119.30 ^[Y5 : $i]: 930.56/119.30 (( 930.56/119.30 (!!) @ ( 930.56/119.30 ^[Y6 : $i]: 930.56/119.30 (( 930.56/119.30 (c_In @ 930.56/119.30 ( 930.56/119.30 c_Inj0 @ 930.56/119.30 Y5) @ 930.56/119.30 ( 930.56/119.30 c_setsum @ 930.56/119.30 ( 930.56/119.30 c_setsum @ 930.56/119.30 c_Empty @ 930.56/119.30 c_Empty) @ 930.56/119.30 ( 930.56/119.30 c_setsum @ 930.56/119.30 Y5 @ 930.56/119.30 ( 930.56/119.30 c_Inj0 @ 930.56/119.30 ( 930.56/119.30 c_setsum @ 930.56/119.30 c_Empty @ 930.56/119.30 c_Empty))))) => 930.56/119.30 (( 930.56/119.30 (Y1 @ 930.56/119.30 ( 930.56/119.30 ^[Y7 : $i]: 930.56/119.30 (c_Inj0 @ 930.56/119.30 (c_Inj0 @ 930.56/119.30 c_Empty))) @ 930.56/119.30 ( 930.56/119.30 ^[Y7 : ( 930.56/119.30 ( 930.56/119.30 $i > $i) > $i) > $i, 930.56/119.30 Y8 : 930.56/119.30 $i > $i > $i, 930.56/119.30 Y9 : $i, 930.56/119.30 Y10 : $i]: 930.56/119.30 (Y9)) @ 930.56/119.30 ( 930.56/119.30 c_setsum @ 930.56/119.30 ( 930.56/119.30 Y3 @ 930.56/119.30 ( 930.56/119.30 ^[Y7 : 930.56/119.30 $i > $i > $i, 930.56/119.30 Y8 : $i > $i, 930.56/119.30 Y9 : $i]: 930.56/119.30 (c_Inj0 @ 930.56/119.30 (c_setsum @ 930.56/119.30 c_Empty @ 930.56/119.30 c_Empty)))) @ 930.56/119.30 c_Empty)) => 930.56/119.30 (Y2 @ 930.56/119.30 ( 930.56/119.30 ^[Y7 : $i, 930.56/119.30 Y8 : 930.56/119.30 $i > $i > $i]: 930.56/119.30 (c_Inj0 @ 930.56/119.30 Y7)) @ 930.56/119.30 Y4 @ 930.56/119.30 ( 930.56/119.30 c_setsum @ 930.56/119.30 ( 930.56/119.30 c_setsum @ 930.56/119.30 ( 930.56/119.30 c_setsum @ 930.56/119.30 c_Empty @ 930.56/119.30 ( 930.56/119.30 c_setsum @ 930.56/119.30 c_Empty @ 930.56/119.30 c_Empty)) @ 930.56/119.30 ( 930.56/119.30 c_Inj0 @ 930.56/119.30 c_Empty)) @ 930.56/119.30 c_Empty)))))))))))))))))) => 930.56/119.30 (((((!!) @ (^[Y3 : ((($i > $i) > 930.56/119.30 $i > $i) > $i) > $i]: 930.56/119.30 (((!!) @ (^[Y4 : $i > $i]: 930.56/119.30 (( 930.56/119.30 (!!) @ ( 930.56/119.30 ^[Y5 : $i]: 930.56/119.30 (( 930.56/119.30 (!!) @ ( 930.56/119.30 ^[Y6 : $i]: 930.56/119.30 (( 930.56/119.30 (Y2 @ 930.56/119.30 ( 930.56/119.30 ^[Y7 : $i, 930.56/119.30 Y8 : 930.56/119.30 $i > $i > $i]: 930.56/119.30 (c_Empty)) @ 930.56/119.30 Y6 @ 930.56/119.30 ( 930.56/119.30 c_setsum @ 930.56/119.30 ( 930.56/119.30 c_setsum @ 930.56/119.30 ( 930.56/119.30 c_setsum @ 930.56/119.30 ( 930.56/119.30 c_setsum @ 930.56/119.30 c_Empty @ 930.56/119.30 c_Empty) @ 930.56/119.30 c_Empty) @ 930.56/119.30 ( 930.56/119.30 c_setsum @ 930.56/119.30 ( 930.56/119.30 c_setsum @ 930.56/119.30 c_Empty @ 930.56/119.30 c_Empty) @ 930.56/119.30 ( 930.56/119.30 c_Inj0 @ 930.56/119.30 c_Empty))) @ 930.56/119.30 ( 930.56/119.30 c_setsum @ 930.56/119.30 c_Empty @ 930.56/119.30 ( 930.56/119.30 c_Inj1 @ 930.56/119.30 ( 930.56/119.30 c_setsum @ 930.56/119.30 c_Empty @ 930.56/119.30 c_Empty))))) => 930.56/119.30 (Y2 @ 930.56/119.30 ( 930.56/119.30 ^[Y7 : $i, 930.56/119.30 Y8 : 930.56/119.30 $i > $i > $i]: 930.56/119.30 (Y6)) @ 930.56/119.30 ( 930.56/119.30 c_setsum @ 930.56/119.30 ( 930.56/119.30 Y3 @ 930.56/119.30 ( 930.56/119.30 ^[Y7 : 930.56/119.30 ( 930.56/119.30 $i > $i) > 930.56/119.30 $i > $i]: 930.56/119.30 (Y6))) @ 930.56/119.30 Y5) @ 930.56/119.30 ( 930.56/119.30 c_Inj0 @ 930.56/119.30 ( 930.56/119.30 c_Inj1 @ 930.56/119.30 ( 930.56/119.30 c_setsum @ 930.56/119.30 ( 930.56/119.30 c_setsum @ 930.56/119.30 c_Empty @ 930.56/119.30 c_Empty) @ 930.56/119.30 ( 930.56/119.30 c_setsum @ 930.56/119.30 c_Empty @ 930.56/119.30 c_Empty))))))))))))))))))) => 930.56/119.30 (((((!!) @ (^[Y3 : $i > $i > $i]: 930.56/119.30 (((!!) @ ( 930.56/119.30 ^[Y4 : $i > $i]: 930.56/119.30 (((!!) @ ( 930.56/119.30 ^[Y5 : $i]: 930.56/119.30 ( 930.56/119.30 ( 930.56/119.30 (!!) @ ( 930.56/119.30 ^[Y6 : $i > $i]: 930.56/119.30 (( 930.56/119.30 (c_In @ 930.56/119.30 ( 930.56/119.30 c_Inj0 @ 930.56/119.30 ( 930.56/119.30 c_Inj1 @ 930.56/119.30 c_Empty)) @ 930.56/119.30 ( 930.56/119.30 c_setsum @ 930.56/119.30 ( 930.56/119.30 c_setsum @ 930.56/119.30 ( 930.56/119.30 c_Inj0 @ 930.56/119.30 c_Empty) @ 930.56/119.30 ( 930.56/119.30 c_setsum @ 930.56/119.30 ( 930.56/119.30 c_setsum @ 930.56/119.30 c_Empty @ 930.56/119.30 c_Empty) @ 930.56/119.30 ( 930.56/119.30 c_setsum @ 930.56/119.30 c_Empty @ 930.56/119.30 c_Empty))) @ 930.56/119.30 ( 930.56/119.30 c_setsum @ 930.56/119.30 c_Empty @ 930.56/119.30 ( 930.56/119.30 c_setsum @ 930.56/119.30 ( 930.56/119.30 c_Inj0 @ 930.56/119.30 c_Empty) @ 930.56/119.30 ( 930.56/119.30 Y3 @ 930.56/119.30 c_Empty @ 930.56/119.30 c_Empty))))) => 930.56/119.30 (( 930.56/119.30 (Y1 @ 930.56/119.30 ( 930.56/119.30 ^[Y7 : $i]: 930.56/119.30 (c_Empty)) @ 930.56/119.30 ( 930.56/119.30 ^[Y7 : ( 930.56/119.30 ( 930.56/119.30 $i > $i) > $i) > $i, 930.56/119.30 Y8 : 930.56/119.30 $i > $i > $i, 930.56/119.30 Y9 : $i, 930.56/119.30 Y10 : $i]: 930.56/119.30 (c_Empty)) @ 930.56/119.30 ( 930.56/119.30 c_setsum @ 930.56/119.30 ( 930.56/119.30 c_setsum @ 930.56/119.30 c_Empty @ 930.56/119.30 ( 930.56/119.30 c_setsum @ 930.56/119.30 ( 930.56/119.30 c_setsum @ 930.56/119.30 c_Empty @ 930.56/119.30 c_Empty) @ 930.56/119.30 ( 930.56/119.30 c_Inj0 @ 930.56/119.30 c_Empty))) @ 930.56/119.30 ( 930.56/119.30 c_Inj1 @ 930.56/119.30 Y5))) => 930.56/119.30 (Y0 @ 930.56/119.30 ( 930.56/119.30 ^[Y7 : $i, 930.56/119.30 Y8 : ( 930.56/119.30 $i > $i) > $i]: 930.56/119.30 (c_Inj0 @ 930.56/119.30 c_Empty)) @ 930.56/119.30 ( 930.56/119.30 Y3 @ 930.56/119.30 c_Empty @ 930.56/119.30 ( 930.56/119.30 Y4 @ 930.56/119.30 ( 930.56/119.30 c_setsum @ 930.56/119.30 ( 930.56/119.30 c_Inj1 @ 930.56/119.30 c_Empty) @ 930.56/119.30 c_Empty)))))))))))))))))))) => 930.56/119.30 (((((!!) @ (^[Y3 : $i]: 930.56/119.30 (((!!) @ ( 930.56/119.30 ^[Y4 : $i > $i]: 930.56/119.30 (((!!) @ ( 930.56/119.30 ^[Y5 : $i > $i]: 930.56/119.30 (( 930.56/119.30 (!!) @ ( 930.56/119.30 ^[Y6 : $i]: 930.56/119.30 (( 930.56/119.30 (Y2 @ 930.56/119.30 ( 930.56/119.30 ^[Y7 : $i, 930.56/119.30 Y8 : 930.56/119.30 $i > $i > $i]: 930.56/119.30 (c_Empty)) @ 930.56/119.30 c_Empty @ 930.56/119.30 c_Empty) => 930.56/119.30 (Y0 @ 930.56/119.30 ( 930.56/119.30 ^[Y7 : $i, 930.56/119.30 Y8 : ( 930.56/119.30 $i > $i) > $i]: 930.56/119.30 (Y8 @ 930.56/119.30 (^[Y9 : $i]: 930.56/119.30 (c_setsum @ 930.56/119.30 (c_Inj1 @ 930.56/119.30 (c_Inj0 @ 930.56/119.30 c_Empty)) @ 930.56/119.30 (c_setsum @ 930.56/119.30 c_Empty @ 930.56/119.30 c_Empty))))) @ 930.56/119.30 c_Empty))))))))))))))) => 930.56/119.30 (((((!!) @ (^[Y3 : $i]: 930.56/119.30 (((!!) @ ( 930.56/119.30 ^[Y4 : $i]: 930.56/119.30 ( 930.56/119.30 ( 930.56/119.30 (!!) @ ( 930.56/119.30 ^[Y5 : $i]: 930.56/119.30 (( 930.56/119.30 (!!) @ ( 930.56/119.30 ^[Y6 : $i]: 930.56/119.30 (( 930.56/119.30 (c_In @ 930.56/119.30 ( 930.56/119.30 c_Inj0 @ 930.56/119.30 Y5) @ 930.56/119.30 ( 930.56/119.30 c_setsum @ 930.56/119.30 ( 930.56/119.30 c_setsum @ 930.56/119.30 Y3 @ 930.56/119.30 ( 930.56/119.30 c_setsum @ 930.56/119.30 Y4 @ 930.56/119.30 ( 930.56/119.30 c_setsum @ 930.56/119.30 c_Empty @ 930.56/119.30 c_Empty))) @ 930.56/119.30 ( 930.56/119.30 c_Inj1 @ 930.56/119.30 ( 930.56/119.30 c_setsum @ 930.56/119.30 Y4 @ 930.56/119.30 c_Empty)))) => 930.56/119.30 (( 930.56/119.30 (Y0 @ 930.56/119.30 ( 930.56/119.30 ^[Y7 : $i, 930.56/119.30 Y8 : ( 930.56/119.30 $i > $i) > $i]: 930.56/119.30 (Y6)) @ 930.56/119.30 c_Empty) => 930.56/119.30 (Y1 @ 930.56/119.30 ( 930.56/119.30 ^[Y7 : $i]: 930.56/119.30 (c_Empty)) @ 930.56/119.30 ( 930.56/119.30 ^[Y7 : ( 930.56/119.30 ( 930.56/119.30 $i > $i) > $i) > $i, 930.56/119.30 Y8 : 930.56/119.30 $i > $i > $i, 930.56/119.30 Y9 : $i, 930.56/119.30 Y10 : $i]: 930.56/119.30 (c_setsum @ 930.56/119.30 c_Empty @ 930.56/119.30 c_Empty)) @ 930.56/119.30 Y4))))))))))))))))) => 930.56/119.30 (((((!!) @ (^[Y3 : ( 930.56/119.30 (($i > $i) > 930.56/119.30 $i > $i) > $i) > $i]: 930.56/119.30 (((!!) @ ( 930.56/119.30 ^[Y4 : $i]: 930.56/119.30 (( 930.56/119.30 (!!) @ ( 930.56/119.30 ^[Y5 : $i]: 930.56/119.30 (( 930.56/119.30 (!!) @ ( 930.56/119.30 ^[Y6 : $i]: 930.56/119.30 (( 930.56/119.30 (c_In @ 930.56/119.30 ( 930.56/119.30 c_Inj1 @ 930.56/119.30 c_Empty) @ 930.56/119.30 Y4) => 930.56/119.30 (( 930.56/119.30 (~) @ ( 930.56/119.30 Y0 @ 930.56/119.30 ( 930.56/119.30 ^[Y7 : $i, 930.56/119.30 Y8 : ( 930.56/119.30 $i > $i) > $i]: 930.56/119.30 (c_Empty)) @ 930.56/119.30 c_Empty))))))))))))))))) => 930.56/119.30 (c_False))))))))))))))))))))))), 930.56/119.30 inference('simplify boolean subterms', [status(thm)], [zip_derived_cl200])). 930.56/119.30 thf(zip_derived_cl472, plain, 930.56/119.30 (![X2 : ($i > (($i > $i) > $i) > $i) > $i > $o]: 930.56/119.30 (((!!) @ (^[Y0 : ($i > $i) > 930.56/119.30 (((($i > $i) > $i) > $i) > ($i > $i > $i) > $i > $i > $i) > 930.56/119.30 $i > $o]: 930.56/119.30 (((!!) @ (^[Y1 : ($i > ($i > $i > $i) > $i) > $i > $i > $o]: 930.56/119.30 (((((!!) @ (^[Y2 : (($i > $i > $i) > 930.56/119.30 ($i > $i) > $i > $i) > $i]: 930.56/119.30 (((!!) @ (^[Y3 : $i]: 930.56/119.30 (((!!) @ (^[Y4 : $i]: 930.56/119.30 (( 930.56/119.30 (!!) @ ( 930.56/119.30 ^[Y5 : $i]: 930.56/119.30 (( 930.56/119.30 (c_In @ 930.56/119.30 ( 930.56/119.30 c_Inj0 @ 930.56/119.30 Y4) @ 930.56/119.30 ( 930.56/119.30 c_setsum @ 930.56/119.30 ( 930.56/119.30 c_setsum @ 930.56/119.30 c_Empty @ 930.56/119.30 c_Empty) @ 930.56/119.30 ( 930.56/119.30 c_setsum @ 930.56/119.30 Y4 @ 930.56/119.30 ( 930.56/119.30 c_Inj0 @ 930.56/119.30 ( 930.56/119.30 c_setsum @ 930.56/119.30 c_Empty @ 930.56/119.30 c_Empty))))) => 930.56/119.30 (( 930.56/119.30 (Y0 @ 930.56/119.30 ( 930.56/119.30 ^[Y6 : $i]: 930.56/119.30 (c_Inj0 @ 930.56/119.30 (c_Inj0 @ 930.56/119.30 c_Empty))) @ 930.56/119.30 ( 930.56/119.30 ^[Y6 : ( 930.56/119.30 ( 930.56/119.30 $i > $i) > $i) > $i, 930.56/119.30 Y7 : 930.56/119.30 $i > $i > $i, 930.56/119.30 Y8 : $i, 930.56/119.30 Y9 : $i]: 930.56/119.30 (Y8)) @ 930.56/119.30 ( 930.56/119.30 c_setsum @ 930.56/119.30 ( 930.56/119.30 Y2 @ 930.56/119.30 ( 930.56/119.30 ^[Y6 : 930.56/119.30 $i > $i > $i, 930.56/119.30 Y7 : $i > $i, 930.56/119.30 Y8 : $i]: 930.56/119.30 (c_Inj0 @ 930.56/119.30 (c_setsum @ 930.56/119.30 c_Empty @ 930.56/119.30 c_Empty)))) @ 930.56/119.30 c_Empty)) => 930.56/119.30 (Y1 @ 930.56/119.30 ( 930.56/119.30 ^[Y6 : $i, 930.56/119.30 Y7 : 930.56/119.30 $i > $i > $i]: 930.56/119.30 (c_Inj0 @ 930.56/119.30 Y6)) @ 930.56/119.30 Y3 @ 930.56/119.30 ( 930.56/119.30 c_setsum @ 930.56/119.30 ( 930.56/119.30 c_setsum @ 930.56/119.30 ( 930.56/119.30 c_setsum @ 930.56/119.30 c_Empty @ 930.56/119.30 ( 930.56/119.30 c_setsum @ 930.56/119.30 c_Empty @ 930.56/119.30 c_Empty)) @ 930.56/119.30 ( 930.56/119.30 c_Inj0 @ 930.56/119.30 c_Empty)) @ 930.56/119.30 c_Empty)))))))))))))))))) => 930.56/119.30 (((((!!) @ (^[Y2 : ((($i > $i) > $i > $i) > $i) > $i]: 930.56/119.30 (((!!) @ (^[Y3 : $i > $i]: 930.56/119.30 (((!!) @ ( 930.56/119.30 ^[Y4 : $i]: 930.56/119.30 (((!!) @ ( 930.56/119.30 ^[Y5 : $i]: 930.56/119.30 ( 930.56/119.30 ( 930.56/119.30 (Y1 @ 930.56/119.30 ( 930.56/119.30 ^[Y6 : $i, 930.56/119.30 Y7 : 930.56/119.30 $i > $i > $i]: 930.56/119.30 (c_Empty)) @ 930.56/119.30 Y5 @ 930.56/119.30 ( 930.56/119.30 c_setsum @ 930.56/119.30 ( 930.56/119.30 c_setsum @ 930.56/119.30 ( 930.56/119.30 c_setsum @ 930.56/119.30 ( 930.56/119.30 c_setsum @ 930.56/119.30 c_Empty @ 930.56/119.30 c_Empty) @ 930.56/119.30 c_Empty) @ 930.56/119.30 ( 930.56/119.30 c_setsum @ 930.56/119.30 ( 930.56/119.30 c_setsum @ 930.56/119.30 c_Empty @ 930.56/119.30 c_Empty) @ 930.56/119.30 ( 930.56/119.30 c_Inj0 @ 930.56/119.30 c_Empty))) @ 930.56/119.30 ( 930.56/119.30 c_setsum @ 930.56/119.30 c_Empty @ 930.56/119.30 ( 930.56/119.30 c_Inj1 @ 930.56/119.30 ( 930.56/119.30 c_setsum @ 930.56/119.30 c_Empty @ 930.56/119.30 c_Empty))))) => 930.56/119.30 (Y1 @ 930.56/119.30 ( 930.56/119.30 ^[Y6 : $i, 930.56/119.30 Y7 : 930.56/119.30 $i > $i > $i]: 930.56/119.30 (Y5)) @ 930.56/119.30 ( 930.56/119.30 c_setsum @ 930.56/119.30 ( 930.56/119.30 Y2 @ 930.56/119.30 ( 930.56/119.30 ^[Y6 : 930.56/119.30 ( 930.56/119.30 $i > $i) > 930.56/119.30 $i > $i]: 930.56/119.30 (Y5))) @ 930.56/119.30 Y4) @ 930.56/119.30 ( 930.56/119.30 c_Inj0 @ 930.56/119.30 ( 930.56/119.30 c_Inj1 @ 930.56/119.30 ( 930.56/119.30 c_setsum @ 930.56/119.30 ( 930.56/119.30 c_setsum @ 930.56/119.30 c_Empty @ 930.56/119.30 c_Empty) @ 930.56/119.30 ( 930.56/119.30 c_setsum @ 930.56/119.30 c_Empty @ 930.56/119.30 c_Empty))))))))))))))))))) => 930.56/119.30 (((((!!) @ (^[Y2 : $i > $i > $i]: 930.56/119.30 (((!!) @ (^[Y3 : $i > $i]: 930.56/119.30 (((!!) @ ( 930.56/119.30 ^[Y4 : $i]: 930.56/119.30 (((!!) @ ( 930.56/119.30 ^[Y5 : $i > $i]: 930.56/119.30 (( 930.56/119.30 (c_In @ 930.56/119.30 ( 930.56/119.30 c_Inj0 @ 930.56/119.30 ( 930.56/119.30 c_Inj1 @ 930.56/119.30 c_Empty)) @ 930.56/119.30 ( 930.56/119.30 c_setsum @ 930.56/119.30 ( 930.56/119.30 c_setsum @ 930.56/119.30 ( 930.56/119.30 c_Inj0 @ 930.56/119.30 c_Empty) @ 930.56/119.30 ( 930.56/119.30 c_setsum @ 930.56/119.30 ( 930.56/119.30 c_setsum @ 930.56/119.30 c_Empty @ 930.56/119.30 c_Empty) @ 930.56/119.30 ( 930.56/119.30 c_setsum @ 930.56/119.30 c_Empty @ 930.56/119.30 c_Empty))) @ 930.56/119.30 ( 930.56/119.30 c_setsum @ 930.56/119.30 c_Empty @ 930.56/119.30 ( 930.56/119.30 c_setsum @ 930.56/119.30 ( 930.56/119.30 c_Inj0 @ 930.56/119.30 c_Empty) @ 930.56/119.30 ( 930.56/119.30 Y2 @ 930.56/119.30 c_Empty @ 930.56/119.30 c_Empty))))) => 930.56/119.30 (( 930.56/119.30 (Y0 @ 930.56/119.30 ( 930.56/119.30 ^[Y6 : $i]: 930.56/119.30 (c_Empty)) @ 930.56/119.30 ( 930.56/119.30 ^[Y6 : ( 930.56/119.30 ( 930.56/119.30 $i > $i) > $i) > $i, 930.56/119.30 Y7 : 930.56/119.30 $i > $i > $i, 930.56/119.30 Y8 : $i, 930.56/119.30 Y9 : $i]: 930.56/119.30 (c_Empty)) @ 930.56/119.30 ( 930.56/119.30 c_setsum @ 930.56/119.30 ( 930.56/119.30 c_setsum @ 930.56/119.30 c_Empty @ 930.56/119.30 ( 930.56/119.30 c_setsum @ 930.56/119.30 ( 930.56/119.30 c_setsum @ 930.56/119.30 c_Empty @ 930.56/119.30 c_Empty) @ 930.56/119.30 ( 930.56/119.30 c_Inj0 @ 930.56/119.30 c_Empty))) @ 930.56/119.30 ( 930.56/119.30 c_Inj1 @ 930.56/119.30 Y4))) => 930.56/119.30 (X2 @ 930.56/119.30 ( 930.56/119.30 ^[Y6 : $i, 930.56/119.30 Y7 : ( 930.56/119.30 $i > $i) > $i]: 930.56/119.30 (c_Inj0 @ 930.56/119.30 c_Empty)) @ 930.56/119.30 ( 930.56/119.30 Y2 @ 930.56/119.30 c_Empty @ 930.56/119.30 ( 930.56/119.30 Y3 @ 930.56/119.30 ( 930.56/119.30 c_setsum @ 930.56/119.30 ( 930.56/119.30 c_Inj1 @ 930.56/119.30 c_Empty) @ 930.56/119.30 c_Empty)))))))))))))))))))) => 930.56/119.30 (((((!!) @ (^[Y2 : $i]: 930.56/119.30 (((!!) @ (^[Y3 : $i > $i]: 930.56/119.30 (((!!) @ ( 930.56/119.30 ^[Y4 : $i > $i]: 930.56/119.30 ( 930.56/119.30 ( 930.56/119.30 (!!) @ ( 930.56/119.30 ^[Y5 : $i]: 930.56/119.30 (( 930.56/119.30 (Y1 @ 930.56/119.30 ( 930.56/119.30 ^[Y6 : $i, 930.56/119.30 Y7 : 930.56/119.30 $i > $i > $i]: 930.56/119.30 (c_Empty)) @ 930.56/119.30 c_Empty @ 930.56/119.30 c_Empty) => 930.56/119.30 (X2 @ 930.56/119.30 ( 930.56/119.30 ^[Y6 : $i, 930.56/119.30 Y7 : ( 930.56/119.30 $i > $i) > $i]: 930.56/119.30 (Y7 @ 930.56/119.30 (^[Y8 : $i]: 930.56/119.30 (c_setsum @ 930.56/119.30 (c_Inj1 @ 930.56/119.30 (c_Inj0 @ 930.56/119.30 c_Empty)) @ 930.56/119.30 (c_setsum @ 930.56/119.30 c_Empty @ 930.56/119.30 c_Empty))))) @ 930.56/119.30 c_Empty))))))))))))))) => 930.56/119.30 (((((!!) @ (^[Y2 : $i]: 930.56/119.30 (((!!) @ (^[Y3 : $i]: 930.56/119.30 (((!!) @ ( 930.56/119.30 ^[Y4 : $i]: 930.56/119.30 (( 930.56/119.30 (!!) @ ( 930.56/119.30 ^[Y5 : $i]: 930.56/119.30 (( 930.56/119.30 (c_In @ 930.56/119.30 ( 930.56/119.30 c_Inj0 @ 930.56/119.30 Y4) @ 930.56/119.30 ( 930.56/119.30 c_setsum @ 930.56/119.30 ( 930.56/119.30 c_setsum @ 930.56/119.30 Y2 @ 930.56/119.30 ( 930.56/119.30 c_setsum @ 930.56/119.30 Y3 @ 930.56/119.30 ( 930.56/119.30 c_setsum @ 930.56/119.30 c_Empty @ 930.56/119.30 c_Empty))) @ 930.56/119.30 ( 930.56/119.30 c_Inj1 @ 930.56/119.30 ( 930.56/119.30 c_setsum @ 930.56/119.30 Y3 @ 930.56/119.30 c_Empty)))) => 930.56/119.30 (( 930.56/119.30 (X2 @ 930.56/119.30 ( 930.56/119.30 ^[Y6 : $i, 930.56/119.30 Y7 : ( 930.56/119.30 $i > $i) > $i]: 930.56/119.30 (Y5)) @ 930.56/119.30 c_Empty) => 930.56/119.30 (Y0 @ 930.56/119.30 ( 930.56/119.30 ^[Y6 : $i]: 930.56/119.30 (c_Empty)) @ 930.56/119.30 ( 930.56/119.30 ^[Y6 : ( 930.56/119.30 ( 930.56/119.30 $i > $i) > $i) > $i, 930.56/119.30 Y7 : 930.56/119.30 $i > $i > $i, 930.56/119.30 Y8 : $i, 930.56/119.30 Y9 : $i]: 930.56/119.30 (c_setsum @ 930.56/119.30 c_Empty @ 930.56/119.30 c_Empty)) @ 930.56/119.30 Y3))))))))))))))))) => 930.56/119.30 (((((!!) @ (^[Y2 : ((($i > $i) > $i > $i) > $i) > $i]: 930.56/119.30 (((!!) @ (^[Y3 : $i]: 930.56/119.30 ( 930.56/119.30 ( 930.56/119.30 (!!) @ ( 930.56/119.30 ^[Y4 : $i]: 930.56/119.30 (( 930.56/119.30 (!!) @ ( 930.56/119.30 ^[Y5 : $i]: 930.56/119.30 (( 930.56/119.30 (c_In @ 930.56/119.30 ( 930.56/119.30 c_Inj1 @ 930.56/119.30 c_Empty) @ 930.56/119.30 Y3) => 930.56/119.30 (( 930.56/119.30 (~) @ ( 930.56/119.30 X2 @ 930.56/119.30 ( 930.56/119.30 ^[Y6 : $i, 930.56/119.30 Y7 : ( 930.56/119.30 $i > $i) > $i]: 930.56/119.30 (c_Empty)) @ 930.56/119.30 c_Empty))))))))))))))))) => 930.56/119.30 (c_False)))))))))))))))))))), 930.56/119.30 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl471])). 930.56/119.30 thf(zip_derived_cl474, plain, 930.56/119.30 ( (((!!) @ (^[Y0 : ($i > $i) > 930.56/119.30 (((($i > $i) > $i) > $i) > ($i > $i > $i) > $i > $i > $i) > 930.56/119.30 $i > $o]: 930.56/119.30 (((!!) @ (^[Y1 : ($i > ($i > $i > $i) > $i) > $i > $i > $o]: 930.56/119.30 (((((!!) @ (^[Y2 : (($i > $i > $i) > 930.56/119.30 ($i > $i) > $i > $i) > $i]: 930.56/119.30 (((!!) @ (^[Y3 : $i]: 930.56/119.30 (((!!) @ (^[Y4 : $i]: 930.56/119.30 ( 930.56/119.30 ( 930.56/119.30 (!!) @ ( 930.56/119.30 ^[Y5 : $i]: 930.56/119.30 (( 930.56/119.30 (c_In @ 930.56/119.30 ( 930.56/119.30 c_Inj0 @ 930.56/119.30 Y4) @ 930.56/119.30 ( 930.56/119.30 c_setsum @ 930.56/119.30 ( 930.56/119.30 c_setsum @ 930.56/119.30 c_Empty @ 930.56/119.30 c_Empty) @ 930.56/119.30 ( 930.56/119.30 c_setsum @ 930.56/119.30 Y4 @ 930.56/119.30 ( 930.56/119.30 c_Inj0 @ 930.56/119.30 ( 930.56/119.30 c_setsum @ 930.56/119.30 c_Empty @ 930.56/119.30 c_Empty))))) => 930.56/119.30 (( 930.56/119.30 (Y0 @ 930.56/119.30 ( 930.56/119.30 ^[Y6 : $i]: 930.56/119.30 (c_Inj0 @ 930.56/119.30 (c_Inj0 @ 930.56/119.30 c_Empty))) @ 930.56/119.30 ( 930.56/119.30 ^[Y6 : ( 930.56/119.30 ( 930.56/119.30 $i > $i) > $i) > $i, 930.56/119.30 Y7 : 930.56/119.30 $i > $i > $i, 930.56/119.30 Y8 : $i, 930.56/119.30 Y9 : $i]: 930.56/119.30 (Y8)) @ 930.56/119.30 ( 930.56/119.30 c_setsum @ 930.56/119.30 ( 930.56/119.30 Y2 @ 930.56/119.30 ( 930.56/119.30 ^[Y6 : 930.56/119.30 $i > $i > $i, 930.56/119.30 Y7 : $i > $i, 930.56/119.30 Y8 : $i]: 930.56/119.30 (c_Inj0 @ 930.56/119.30 (c_setsum @ 930.56/119.30 c_Empty @ 930.56/119.30 c_Empty)))) @ 930.56/119.30 c_Empty)) => 930.56/119.30 (Y1 @ 930.56/119.30 ( 930.56/119.30 ^[Y6 : $i, 930.56/119.30 Y7 : 930.56/119.30 $i > $i > $i]: 930.56/119.30 (c_Inj0 @ 930.56/119.30 Y6)) @ 930.56/119.30 Y3 @ 930.56/119.30 ( 930.56/119.30 c_setsum @ 930.56/119.30 ( 930.56/119.30 c_setsum @ 930.56/119.30 ( 930.56/119.30 c_setsum @ 930.56/119.30 c_Empty @ 930.56/119.30 ( 930.56/119.30 c_setsum @ 930.56/119.30 c_Empty @ 930.56/119.30 c_Empty)) @ 930.56/119.30 ( 930.56/119.30 c_Inj0 @ 930.56/119.30 c_Empty)) @ 930.56/119.30 c_Empty)))))))))))))))))) => 930.56/119.30 (((((!!) @ (^[Y2 : ((($i > $i) > $i > $i) > $i) > $i]: 930.56/119.30 (((!!) @ (^[Y3 : $i > $i]: 930.56/119.30 (((!!) @ (^[Y4 : $i]: 930.56/119.30 (( 930.56/119.30 (!!) @ ( 930.56/119.30 ^[Y5 : $i]: 930.56/119.30 (( 930.56/119.30 (Y1 @ 930.56/119.30 ( 930.56/119.30 ^[Y6 : $i, 930.56/119.30 Y7 : 930.56/119.30 $i > $i > $i]: 930.56/119.30 (c_Empty)) @ 930.56/119.30 Y5 @ 930.56/119.30 ( 930.56/119.30 c_setsum @ 930.56/119.30 ( 930.56/119.30 c_setsum @ 930.56/119.30 ( 930.56/119.30 c_setsum @ 930.56/119.30 ( 930.56/119.30 c_setsum @ 930.56/119.30 c_Empty @ 930.56/119.30 c_Empty) @ 930.56/119.30 c_Empty) @ 930.56/119.30 ( 930.56/119.30 c_setsum @ 930.56/119.30 ( 930.56/119.30 c_setsum @ 930.56/119.30 c_Empty @ 930.56/119.30 c_Empty) @ 930.56/119.30 ( 930.56/119.30 c_Inj0 @ 930.56/119.30 c_Empty))) @ 930.56/119.30 ( 930.56/119.30 c_setsum @ 930.56/119.30 c_Empty @ 930.56/119.30 ( 930.56/119.30 c_Inj1 @ 930.56/119.30 ( 930.56/119.30 c_setsum @ 930.56/119.30 c_Empty @ 930.56/119.30 c_Empty))))) => 930.56/119.30 (Y1 @ 930.56/119.30 ( 930.56/119.30 ^[Y6 : $i, 930.56/119.30 Y7 : 930.56/119.30 $i > $i > $i]: 930.56/119.30 (Y5)) @ 930.56/119.30 ( 930.56/119.30 c_setsum @ 930.56/119.30 ( 930.56/119.30 Y2 @ 930.56/119.30 ( 930.56/119.30 ^[Y6 : 930.56/119.30 ( 930.56/119.30 $i > $i) > 930.56/119.30 $i > $i]: 930.56/119.30 (Y5))) @ 930.56/119.30 Y4) @ 930.56/119.30 ( 930.56/119.30 c_Inj0 @ 930.56/119.30 ( 930.56/119.30 c_Inj1 @ 930.56/119.30 ( 930.56/119.30 c_setsum @ 930.56/119.30 ( 930.56/119.30 c_setsum @ 930.56/119.30 c_Empty @ 930.56/119.30 c_Empty) @ 930.56/119.30 ( 930.56/119.30 c_setsum @ 930.56/119.30 c_Empty @ 930.56/119.30 c_Empty))))))))))))))))))) => 930.56/119.30 (((((!!) @ (^[Y2 : $i > $i > $i]: 930.56/119.30 (((!!) @ (^[Y3 : $i > $i]: 930.56/119.30 (((!!) @ ( 930.56/119.30 ^[Y4 : $i]: 930.56/119.30 (((!!) @ ( 930.56/119.30 ^[Y5 : $i > $i]: 930.56/119.30 ( 930.56/119.30 ( 930.56/119.30 (c_In @ 930.56/119.30 ( 930.56/119.30 c_Inj0 @ 930.56/119.30 ( 930.56/119.30 c_Inj1 @ 930.56/119.30 c_Empty)) @ 930.56/119.30 ( 930.56/119.30 c_setsum @ 930.56/119.30 ( 930.56/119.30 c_setsum @ 930.56/119.30 ( 930.56/119.30 c_Inj0 @ 930.56/119.30 c_Empty) @ 930.56/119.30 ( 930.56/119.30 c_setsum @ 930.56/119.30 ( 930.56/119.30 c_setsum @ 930.56/119.30 c_Empty @ 930.56/119.30 c_Empty) @ 930.56/119.30 ( 930.56/119.30 c_setsum @ 930.56/119.30 c_Empty @ 930.56/119.30 c_Empty))) @ 930.56/119.30 ( 930.56/119.30 c_setsum @ 930.56/119.30 c_Empty @ 930.56/119.30 ( 930.56/119.30 c_setsum @ 930.56/119.30 ( 930.56/119.30 c_Inj0 @ 930.56/119.30 c_Empty) @ 930.56/119.30 ( 930.56/119.30 Y2 @ 930.56/119.30 c_Empty @ 930.56/119.30 c_Empty))))) => 930.56/119.30 (( 930.56/119.30 (Y0 @ 930.56/119.30 ( 930.56/119.30 ^[Y6 : $i]: 930.56/119.30 (c_Empty)) @ 930.56/119.30 ( 930.56/119.30 ^[Y6 : ( 930.56/119.30 ( 930.56/119.30 $i > $i) > $i) > $i, 930.56/119.30 Y7 : 930.56/119.30 $i > $i > $i, 930.56/119.30 Y8 : $i, 930.56/119.30 Y9 : $i]: 930.56/119.30 (c_Empty)) @ 930.56/119.30 ( 930.56/119.30 c_setsum @ 930.56/119.30 ( 930.56/119.30 c_setsum @ 930.56/119.30 c_Empty @ 930.56/119.30 ( 930.56/119.30 c_setsum @ 930.56/119.30 ( 930.56/119.30 c_setsum @ 930.56/119.30 c_Empty @ 930.56/119.30 c_Empty) @ 930.56/119.30 ( 930.56/119.30 c_Inj0 @ 930.56/119.30 c_Empty))) @ 930.56/119.30 ( 930.56/119.30 c_Inj1 @ 930.56/119.30 Y4))) => 930.56/119.30 ($false))))))))))))))))) => 930.56/119.30 (((((!!) @ (^[Y2 : $i]: 930.56/119.30 (((!!) @ (^[Y3 : $i > $i]: 930.56/119.30 (((!!) @ ( 930.56/119.30 ^[Y4 : $i > $i]: 930.56/119.30 (((!!) @ ( 930.56/119.30 ^[Y5 : $i]: 930.56/119.30 (( 930.56/119.30 (Y1 @ 930.56/119.30 ( 930.56/119.30 ^[Y6 : $i, 930.56/119.30 Y7 : 930.56/119.30 $i > $i > $i]: 930.56/119.30 (c_Empty)) @ 930.56/119.30 c_Empty @ 930.56/119.30 c_Empty) => 930.56/119.30 ($false))))))))))))))) => 930.56/119.30 (((((!!) @ (^[Y2 : $i]: 930.56/119.30 (((!!) @ (^[Y3 : $i]: 930.56/119.30 (((!!) @ ( 930.56/119.30 ^[Y4 : $i]: 930.56/119.30 ( 930.56/119.30 ( 930.56/119.30 (!!) @ ( 930.56/119.30 ^[Y5 : $i]: 930.56/119.30 (( 930.56/119.30 (c_In @ 930.56/119.30 ( 930.56/119.30 c_Inj0 @ 930.56/119.30 Y4) @ 930.56/119.30 ( 930.56/119.30 c_setsum @ 930.56/119.30 ( 930.56/119.30 c_setsum @ 930.56/119.30 Y2 @ 930.56/119.30 ( 930.56/119.30 c_setsum @ 930.56/119.30 Y3 @ 930.56/119.30 ( 930.56/119.30 c_setsum @ 930.56/119.30 c_Empty @ 930.56/119.30 c_Empty))) @ 930.56/119.30 ( 930.56/119.30 c_Inj1 @ 930.56/119.30 ( 930.56/119.30 c_setsum @ 930.56/119.30 Y3 @ 930.56/119.30 c_Empty)))) => 930.56/119.30 (( 930.56/119.30 ($false) => 930.56/119.30 (Y0 @ 930.56/119.30 ( 930.56/119.30 ^[Y6 : $i]: 930.56/119.30 (c_Empty)) @ 930.56/119.30 ( 930.56/119.30 ^[Y6 : ( 930.56/119.30 ( 930.56/119.30 $i > $i) > $i) > $i, 930.56/119.30 Y7 : 930.56/119.30 $i > $i > $i, 930.56/119.30 Y8 : $i, 930.56/119.30 Y9 : $i]: 930.56/119.30 (c_setsum @ 930.56/119.30 c_Empty @ 930.56/119.30 c_Empty)) @ 930.56/119.30 Y3))))))))))))))))) => 930.56/119.30 (((((!!) @ (^[Y2 : ((($i > $i) > $i > $i) > $i) > $i]: 930.56/119.30 (((!!) @ (^[Y3 : $i]: 930.56/119.30 (((!!) @ ( 930.56/119.30 ^[Y4 : $i]: 930.56/119.30 (( 930.56/119.30 (!!) @ ( 930.56/119.30 ^[Y5 : $i]: 930.56/119.30 (( 930.56/119.30 (c_In @ 930.56/119.30 ( 930.56/119.30 c_Inj1 @ 930.56/119.30 c_Empty) @ 930.56/119.30 Y3) => 930.56/119.30 (( 930.56/119.30 (~) @ ( 930.56/119.30 $false))))))))))))))))) => 930.56/119.30 (c_False)))))))))))))))))))), 930.56/119.30 inference('ho.refine.early.bird', [status(thm)], [zip_derived_cl472])). 930.56/119.30 thf(zip_derived_cl552, plain, 930.56/119.30 ( (((!!) @ (^[Y0 : ($i > $i) > 930.56/119.30 (((($i > $i) > $i) > $i) > ($i > $i > $i) > $i > $i > $i) > 930.56/119.30 $i > $o]: 930.56/119.30 (((!!) @ (^[Y1 : ($i > ($i > $i > $i) > $i) > $i > $i > $o]: 930.56/119.30 (((((!!) @ (^[Y2 : (($i > $i > $i) > 930.56/119.30 ($i > $i) > $i > $i) > $i]: 930.56/119.30 (((!!) @ (^[Y3 : $i]: 930.56/119.30 (((!!) @ (^[Y4 : $i]: 930.56/119.30 ( 930.56/119.30 ( 930.56/119.30 (!!) @ ( 930.56/119.30 ^[Y5 : $i]: 930.56/119.30 (( 930.56/119.30 (c_In @ 930.56/119.30 ( 930.56/119.30 c_Inj0 @ 930.56/119.30 Y4) @ 930.56/119.30 ( 930.56/119.30 c_setsum @ 930.56/119.30 ( 930.56/119.30 c_setsum @ 930.56/119.30 c_Empty @ 930.56/119.30 c_Empty) @ 930.56/119.30 ( 930.56/119.30 c_setsum @ 930.56/119.30 Y4 @ 930.56/119.30 ( 930.56/119.30 c_Inj0 @ 930.56/119.30 ( 930.56/119.30 c_setsum @ 930.56/119.30 c_Empty @ 930.56/119.30 c_Empty))))) => 930.56/119.30 (( 930.56/119.30 (Y0 @ 930.56/119.30 ( 930.56/119.30 ^[Y6 : $i]: 930.56/119.30 (c_Inj0 @ 930.56/119.30 (c_Inj0 @ 930.56/119.30 c_Empty))) @ 930.56/119.30 ( 930.56/119.30 ^[Y6 : ( 930.56/119.30 ( 930.56/119.30 $i > $i) > $i) > $i, 930.56/119.30 Y7 : 930.56/119.30 $i > $i > $i, 930.56/119.30 Y8 : $i, 930.56/119.30 Y9 : $i]: 930.56/119.30 (Y8)) @ 930.56/119.30 ( 930.56/119.30 c_setsum @ 930.56/119.30 ( 930.56/119.30 Y2 @ 930.56/119.30 ( 930.56/119.30 ^[Y6 : 930.56/119.30 $i > $i > $i, 930.56/119.30 Y7 : $i > $i, 930.56/119.30 Y8 : $i]: 930.56/119.30 (c_Inj0 @ 930.56/119.30 (c_setsum @ 930.56/119.30 c_Empty @ 930.56/119.30 c_Empty)))) @ 930.56/119.30 c_Empty)) => 930.56/119.30 (Y1 @ 930.56/119.30 ( 930.56/119.30 ^[Y6 : $i, 930.56/119.30 Y7 : 930.56/119.30 $i > $i > $i]: 930.56/119.30 (c_Inj0 @ 930.56/119.30 Y6)) @ 930.56/119.30 Y3 @ 930.56/119.30 ( 930.56/119.30 c_setsum @ 930.56/119.30 ( 930.56/119.30 c_setsum @ 930.56/119.30 ( 930.56/119.30 c_setsum @ 930.56/119.30 c_Empty @ 930.56/119.30 ( 930.56/119.30 c_setsum @ 930.56/119.30 c_Empty @ 930.56/119.30 c_Empty)) @ 930.56/119.30 ( 930.56/119.30 c_Inj0 @ 930.56/119.30 c_Empty)) @ 930.56/119.30 c_Empty)))))))))))))))))) => 930.56/119.30 (((((!!) @ (^[Y2 : ((($i > $i) > $i > $i) > $i) > $i]: 930.56/119.30 (((!!) @ (^[Y3 : $i > $i]: 930.56/119.30 (((!!) @ (^[Y4 : $i]: 930.56/119.30 (( 930.56/119.30 (!!) @ ( 930.56/119.30 ^[Y5 : $i]: 930.56/119.30 (( 930.56/119.30 (Y1 @ 930.56/119.30 ( 930.56/119.30 ^[Y6 : $i, 930.56/119.30 Y7 : 930.56/119.30 $i > $i > $i]: 930.56/119.30 (c_Empty)) @ 930.56/119.30 Y5 @ 930.56/119.30 ( 930.56/119.30 c_setsum @ 930.56/119.30 ( 930.56/119.30 c_setsum @ 930.56/119.30 ( 930.56/119.30 c_setsum @ 930.56/119.30 ( 930.56/119.30 c_setsum @ 930.56/119.30 c_Empty @ 930.56/119.30 c_Empty) @ 930.56/119.30 c_Empty) @ 930.56/119.30 ( 930.56/119.30 c_setsum @ 930.56/119.30 ( 930.56/119.30 c_setsum @ 930.56/119.30 c_Empty @ 930.56/119.30 c_Empty) @ 930.56/119.30 ( 930.56/119.30 c_Inj0 @ 930.56/119.30 c_Empty))) @ 930.56/119.30 ( 930.56/119.30 c_setsum @ 930.56/119.30 c_Empty @ 930.56/119.30 ( 930.56/119.30 c_Inj1 @ 930.56/119.30 ( 930.56/119.30 c_setsum @ 930.56/119.30 c_Empty @ 930.56/119.30 c_Empty))))) => 930.56/119.30 (Y1 @ 930.56/119.30 ( 930.56/119.30 ^[Y6 : $i, 930.56/119.30 Y7 : 930.56/119.30 $i > $i > $i]: 930.56/119.30 (Y5)) @ 930.56/119.30 ( 930.56/119.30 c_setsum @ 930.56/119.30 ( 930.56/119.30 Y2 @ 930.56/119.30 ( 930.56/119.30 ^[Y6 : 930.56/119.30 ( 930.56/119.30 $i > $i) > 930.56/119.30 $i > $i]: 930.56/119.30 (Y5))) @ 930.56/119.30 Y4) @ 930.56/119.30 ( 930.56/119.30 c_Inj0 @ 930.56/119.30 ( 930.56/119.30 c_Inj1 @ 930.56/119.30 ( 930.56/119.30 c_setsum @ 930.56/119.30 ( 930.56/119.30 c_setsum @ 930.56/119.30 c_Empty @ 930.56/119.30 c_Empty) @ 930.56/119.30 ( 930.56/119.30 c_setsum @ 930.56/119.30 c_Empty @ 930.56/119.30 c_Empty))))))))))))))))))) => 930.56/119.30 (((((!!) @ (^[Y2 : $i > $i > $i]: 930.56/119.30 (((!!) @ (^[Y3 : $i > $i]: 930.56/119.30 (((!!) @ ( 930.56/119.30 ^[Y4 : $i]: 930.56/119.30 (((!!) @ ( 930.56/119.30 ^[Y5 : $i > $i]: 930.56/119.30 ( 930.56/119.30 ( 930.56/119.30 (c_In @ 930.56/119.30 ( 930.56/119.30 c_Inj0 @ 930.56/119.30 ( 930.56/119.30 c_Inj1 @ 930.56/119.30 c_Empty)) @ 930.56/119.30 ( 930.56/119.30 c_setsum @ 930.56/119.30 ( 930.56/119.30 c_setsum @ 930.56/119.30 ( 930.56/119.30 c_Inj0 @ 930.56/119.30 c_Empty) @ 930.56/119.30 ( 930.56/119.30 c_setsum @ 930.56/119.30 ( 930.56/119.30 c_setsum @ 930.56/119.30 c_Empty @ 930.56/119.30 c_Empty) @ 930.56/119.30 ( 930.56/119.30 c_setsum @ 930.56/119.30 c_Empty @ 930.56/119.30 c_Empty))) @ 930.56/119.30 ( 930.56/119.30 c_setsum @ 930.56/119.30 c_Empty @ 930.56/119.30 ( 930.56/119.30 c_setsum @ 930.56/119.30 ( 930.56/119.30 c_Inj0 @ 930.56/119.30 c_Empty) @ 930.56/119.30 ( 930.56/119.30 Y2 @ 930.56/119.30 c_Empty @ 930.56/119.30 c_Empty))))) => 930.56/119.30 (( 930.56/119.30 (~) @ ( 930.56/119.30 Y0 @ 930.56/119.30 ( 930.56/119.30 ^[Y6 : $i]: 930.56/119.30 (c_Empty)) @ 930.56/119.30 ( 930.56/119.30 ^[Y6 : ( 930.56/119.30 ( 930.56/119.30 $i > $i) > $i) > $i, 930.56/119.30 Y7 : 930.56/119.30 $i > $i > $i, 930.56/119.30 Y8 : $i, 930.56/119.30 Y9 : $i]: 930.56/119.30 (c_Empty)) @ 930.56/119.30 ( 930.56/119.30 c_setsum @ 930.56/119.30 ( 930.56/119.30 c_setsum @ 930.56/119.30 c_Empty @ 930.56/119.30 ( 930.56/119.30 c_setsum @ 930.56/119.30 ( 930.56/119.30 c_setsum @ 930.56/119.30 c_Empty @ 930.56/119.30 c_Empty) @ 930.56/119.30 ( 930.56/119.30 c_Inj0 @ 930.56/119.30 c_Empty))) @ 930.56/119.30 ( 930.56/119.30 c_Inj1 @ 930.56/119.30 Y4))))))))))))))))))) => 930.56/119.30 (((((!!) @ (^[Y2 : $i]: 930.56/119.30 (((!!) @ (^[Y3 : $i > $i]: 930.56/119.30 (((!!) @ ( 930.56/119.30 ^[Y4 : $i > $i]: 930.56/119.30 (((!!) @ ( 930.56/119.30 ^[Y5 : $i]: 930.56/119.30 (( 930.56/119.30 (~) @ ( 930.56/119.30 Y1 @ 930.56/119.30 ( 930.56/119.30 ^[Y6 : $i, 930.56/119.30 Y7 : 930.56/119.30 $i > $i > $i]: 930.56/119.30 (c_Empty)) @ 930.56/119.30 c_Empty @ 930.56/119.30 c_Empty))))))))))))))) => 930.56/119.30 (c_False)))))))))))))))), 930.56/119.30 inference('simplify boolean subterms', [status(thm)], [zip_derived_cl474])). 930.56/119.30 thf(zip_derived_cl553, plain, 930.56/119.30 (![X2 : ($i > $i) > 930.56/119.30 (((($i > $i) > $i) > $i) > ($i > $i > $i) > $i > $i > $i) > $i > $o]: 930.56/119.30 (((!!) @ (^[Y0 : ($i > ($i > $i > $i) > $i) > $i > $i > $o]: 930.56/119.30 (((((!!) @ (^[Y1 : (($i > $i > $i) > ($i > $i) > $i > $i) > $i]: 930.56/119.30 (((!!) @ (^[Y2 : $i]: 930.56/119.30 (((!!) @ (^[Y3 : $i]: 930.56/119.30 (((!!) @ (^[Y4 : $i]: 930.56/119.30 (( 930.56/119.30 (c_In @ 930.56/119.30 ( 930.56/119.30 c_Inj0 @ 930.56/119.30 Y3) @ 930.56/119.30 ( 930.56/119.30 c_setsum @ 930.56/119.30 ( 930.56/119.30 c_setsum @ 930.56/119.30 c_Empty @ 930.56/119.30 c_Empty) @ 930.56/119.30 ( 930.56/119.30 c_setsum @ 930.56/119.30 Y3 @ 930.56/119.30 ( 930.56/119.30 c_Inj0 @ 930.56/119.30 ( 930.56/119.30 c_setsum @ 930.56/119.30 c_Empty @ 930.56/119.30 c_Empty))))) => 930.56/119.30 (( 930.56/119.30 (X2 @ 930.56/119.30 ( 930.56/119.30 ^[Y5 : $i]: 930.56/119.30 (c_Inj0 @ 930.56/119.30 (c_Inj0 @ 930.56/119.30 c_Empty))) @ 930.56/119.30 ( 930.56/119.30 ^[Y5 : ( 930.56/119.30 ( 930.56/119.30 $i > $i) > $i) > $i, 930.56/119.30 Y6 : 930.56/119.30 $i > $i > $i, 930.56/119.30 Y7 : $i, 930.56/119.30 Y8 : $i]: 930.56/119.30 (Y7)) @ 930.56/119.30 ( 930.56/119.30 c_setsum @ 930.56/119.30 ( 930.56/119.30 Y1 @ 930.56/119.30 ( 930.56/119.30 ^[Y5 : 930.56/119.30 $i > $i > $i, 930.56/119.30 Y6 : $i > $i, 930.56/119.30 Y7 : $i]: 930.56/119.30 (c_Inj0 @ 930.56/119.30 (c_setsum @ 930.56/119.30 c_Empty @ 930.56/119.30 c_Empty)))) @ 930.56/119.30 c_Empty)) => 930.56/119.30 (Y0 @ 930.56/119.30 ( 930.56/119.30 ^[Y5 : $i, 930.56/119.30 Y6 : 930.56/119.30 $i > $i > $i]: 930.56/119.30 (c_Inj0 @ 930.56/119.30 Y5)) @ 930.56/119.30 Y2 @ 930.56/119.30 ( 930.56/119.30 c_setsum @ 930.56/119.30 ( 930.56/119.30 c_setsum @ 930.56/119.30 ( 930.56/119.30 c_setsum @ 930.56/119.30 c_Empty @ 930.56/119.30 ( 930.56/119.30 c_setsum @ 930.56/119.30 c_Empty @ 930.56/119.30 c_Empty)) @ 930.56/119.30 ( 930.56/119.30 c_Inj0 @ 930.56/119.30 c_Empty)) @ 930.56/119.30 c_Empty)))))))))))))))))) => 930.56/119.30 (((((!!) @ (^[Y1 : ((($i > $i) > $i > $i) > $i) > $i]: 930.56/119.30 (((!!) @ (^[Y2 : $i > $i]: 930.56/119.30 (((!!) @ (^[Y3 : $i]: 930.56/119.30 (((!!) @ ( 930.56/119.30 ^[Y4 : $i]: 930.56/119.30 (((Y0 @ 930.56/119.30 (^[Y5 : $i, 930.56/119.30 Y6 : 930.56/119.30 $i > $i > $i]: 930.56/119.30 (c_Empty)) @ 930.56/119.30 Y4 @ 930.56/119.30 (c_setsum @ 930.56/119.30 (c_setsum @ 930.56/119.30 ( 930.56/119.30 c_setsum @ 930.56/119.30 ( 930.56/119.30 c_setsum @ 930.56/119.30 c_Empty @ 930.56/119.30 c_Empty) @ 930.56/119.30 c_Empty) @ 930.56/119.30 ( 930.56/119.30 c_setsum @ 930.56/119.30 ( 930.56/119.30 c_setsum @ 930.56/119.30 c_Empty @ 930.56/119.30 c_Empty) @ 930.56/119.30 ( 930.56/119.30 c_Inj0 @ 930.56/119.30 c_Empty))) @ 930.56/119.30 (c_setsum @ 930.56/119.30 c_Empty @ 930.56/119.30 ( 930.56/119.30 c_Inj1 @ 930.56/119.30 ( 930.56/119.30 c_setsum @ 930.56/119.30 c_Empty @ 930.56/119.30 c_Empty))))) => 930.56/119.30 (Y0 @ 930.56/119.30 (^[Y5 : $i, 930.56/119.30 Y6 : 930.56/119.30 $i > $i > $i]: 930.56/119.30 (Y4)) @ 930.56/119.30 (c_setsum @ 930.56/119.30 (Y1 @ 930.56/119.30 ( 930.56/119.30 ^[Y5 : 930.56/119.30 ( 930.56/119.30 $i > $i) > 930.56/119.30 $i > $i]: 930.56/119.30 (Y4))) @ 930.56/119.30 Y3) @ 930.56/119.30 (c_Inj0 @ 930.56/119.30 (c_Inj1 @ 930.56/119.30 ( 930.56/119.30 c_setsum @ 930.56/119.30 ( 930.56/119.30 c_setsum @ 930.56/119.30 c_Empty @ 930.56/119.30 c_Empty) @ 930.56/119.30 ( 930.56/119.30 c_setsum @ 930.56/119.30 c_Empty @ 930.56/119.30 c_Empty))))))))))))))))))) => 930.56/119.30 (((((!!) @ (^[Y1 : $i > $i > $i]: 930.56/119.30 (((!!) @ (^[Y2 : $i > $i]: 930.56/119.30 (((!!) @ (^[Y3 : $i]: 930.56/119.30 (((!!) @ ( 930.56/119.30 ^[Y4 : $i > $i]: 930.56/119.30 (((c_In @ 930.56/119.30 ( 930.56/119.30 c_Inj0 @ 930.56/119.30 ( 930.56/119.30 c_Inj1 @ 930.56/119.30 c_Empty)) @ 930.56/119.30 ( 930.56/119.30 c_setsum @ 930.56/119.30 ( 930.56/119.30 c_setsum @ 930.56/119.30 ( 930.56/119.30 c_Inj0 @ 930.56/119.30 c_Empty) @ 930.56/119.30 ( 930.56/119.30 c_setsum @ 930.56/119.30 ( 930.56/119.30 c_setsum @ 930.56/119.30 c_Empty @ 930.56/119.30 c_Empty) @ 930.56/119.30 ( 930.56/119.30 c_setsum @ 930.56/119.30 c_Empty @ 930.56/119.30 c_Empty))) @ 930.56/119.30 ( 930.56/119.30 c_setsum @ 930.56/119.30 c_Empty @ 930.56/119.30 ( 930.56/119.30 c_setsum @ 930.56/119.30 ( 930.56/119.30 c_Inj0 @ 930.56/119.30 c_Empty) @ 930.56/119.30 ( 930.56/119.30 Y1 @ 930.56/119.30 c_Empty @ 930.56/119.30 c_Empty))))) => 930.56/119.30 (( 930.56/119.30 (~) @ ( 930.56/119.30 X2 @ 930.56/119.30 ( 930.56/119.30 ^[Y5 : $i]: 930.56/119.30 (c_Empty)) @ 930.56/119.30 ( 930.56/119.30 ^[Y5 : ( 930.56/119.30 ( 930.56/119.30 $i > $i) > $i) > $i, 930.56/119.30 Y6 : 930.56/119.30 $i > $i > $i, 930.56/119.30 Y7 : $i, 930.56/119.30 Y8 : $i]: 930.56/119.30 (c_Empty)) @ 930.56/119.30 ( 930.56/119.30 c_setsum @ 930.56/119.30 ( 930.56/119.30 c_setsum @ 930.56/119.30 c_Empty @ 930.56/119.30 ( 930.56/119.30 c_setsum @ 930.56/119.30 ( 930.56/119.30 c_setsum @ 930.56/119.30 c_Empty @ 930.56/119.30 c_Empty) @ 930.56/119.30 ( 930.56/119.30 c_Inj0 @ 930.56/119.30 c_Empty))) @ 930.56/119.30 ( 930.56/119.30 c_Inj1 @ 930.56/119.30 Y3))))))))))))))))))) => 930.56/119.30 (((((!!) @ (^[Y1 : $i]: 930.56/119.30 (((!!) @ (^[Y2 : $i > $i]: 930.56/119.30 (((!!) @ (^[Y3 : $i > $i]: 930.56/119.30 (((!!) @ ( 930.56/119.30 ^[Y4 : $i]: 930.56/119.30 ( 930.56/119.30 ( 930.56/119.30 (~) @ ( 930.56/119.30 Y0 @ 930.56/119.30 ( 930.56/119.30 ^[Y5 : $i, 930.56/119.30 Y6 : 930.56/119.30 $i > $i > $i]: 930.56/119.30 (c_Empty)) @ 930.56/119.30 c_Empty @ 930.56/119.30 c_Empty))))))))))))))) => 930.56/119.30 (c_False))))))))))))), 930.56/119.30 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl552])). 930.56/119.30 thf(zip_derived_cl555, plain, 930.56/119.30 ( (((!!) @ (^[Y0 : ($i > ($i > $i > $i) > $i) > $i > $i > $o]: 930.56/119.30 (((((!!) @ (^[Y1 : (($i > $i > $i) > ($i > $i) > $i > $i) > $i]: 930.56/119.30 (((!!) @ (^[Y2 : $i]: 930.56/119.30 (((!!) @ (^[Y3 : $i]: 930.56/119.30 (((!!) @ (^[Y4 : $i]: 930.56/119.30 ( 930.56/119.30 ( 930.56/119.30 (c_In @ 930.56/119.30 ( 930.56/119.30 c_Inj0 @ 930.56/119.30 Y3) @ 930.56/119.30 ( 930.56/119.30 c_setsum @ 930.56/119.30 ( 930.56/119.30 c_setsum @ 930.56/119.30 c_Empty @ 930.56/119.30 c_Empty) @ 930.56/119.30 ( 930.56/119.30 c_setsum @ 930.56/119.30 Y3 @ 930.56/119.30 ( 930.56/119.30 c_Inj0 @ 930.56/119.30 ( 930.56/119.30 c_setsum @ 930.56/119.30 c_Empty @ 930.56/119.30 c_Empty))))) => 930.56/119.30 (( 930.56/119.30 ($false) => 930.56/119.30 (Y0 @ 930.56/119.30 ( 930.56/119.30 ^[Y5 : $i, 930.56/119.30 Y6 : 930.56/119.30 $i > $i > $i]: 930.56/119.30 (c_Inj0 @ 930.56/119.30 Y5)) @ 930.56/119.30 Y2 @ 930.56/119.30 ( 930.56/119.30 c_setsum @ 930.56/119.30 ( 930.56/119.30 c_setsum @ 930.56/119.30 ( 930.56/119.30 c_setsum @ 930.56/119.30 c_Empty @ 930.56/119.30 ( 930.56/119.30 c_setsum @ 930.56/119.30 c_Empty @ 930.56/119.30 c_Empty)) @ 930.56/119.30 ( 930.56/119.30 c_Inj0 @ 930.56/119.30 c_Empty)) @ 930.56/119.30 c_Empty)))))))))))))))))) => 930.56/119.30 (((((!!) @ (^[Y1 : ((($i > $i) > $i > $i) > $i) > $i]: 930.56/119.30 (((!!) @ (^[Y2 : $i > $i]: 930.56/119.30 (((!!) @ (^[Y3 : $i]: 930.56/119.30 (((!!) @ (^[Y4 : $i]: 930.56/119.30 (( 930.56/119.30 (Y0 @ 930.56/119.30 ( 930.56/119.30 ^[Y5 : $i, 930.56/119.30 Y6 : 930.56/119.30 $i > $i > $i]: 930.56/119.30 (c_Empty)) @ 930.56/119.30 Y4 @ 930.56/119.30 ( 930.56/119.30 c_setsum @ 930.56/119.30 ( 930.56/119.30 c_setsum @ 930.56/119.30 ( 930.56/119.30 c_setsum @ 930.56/119.30 ( 930.56/119.30 c_setsum @ 930.56/119.30 c_Empty @ 930.56/119.30 c_Empty) @ 930.56/119.30 c_Empty) @ 930.56/119.30 ( 930.56/119.30 c_setsum @ 930.56/119.30 ( 930.56/119.30 c_setsum @ 930.56/119.30 c_Empty @ 930.56/119.30 c_Empty) @ 930.56/119.30 ( 930.56/119.30 c_Inj0 @ 930.56/119.30 c_Empty))) @ 930.56/119.30 ( 930.56/119.30 c_setsum @ 930.56/119.30 c_Empty @ 930.56/119.30 ( 930.56/119.30 c_Inj1 @ 930.56/119.30 ( 930.56/119.30 c_setsum @ 930.56/119.30 c_Empty @ 930.56/119.30 c_Empty))))) => 930.56/119.30 (Y0 @ 930.56/119.30 ( 930.56/119.30 ^[Y5 : $i, 930.56/119.30 Y6 : 930.56/119.30 $i > $i > $i]: 930.56/119.30 (Y4)) @ 930.56/119.30 ( 930.56/119.30 c_setsum @ 930.56/119.30 ( 930.56/119.30 Y1 @ 930.56/119.30 ( 930.56/119.30 ^[Y5 : 930.56/119.30 ( 930.56/119.30 $i > $i) > 930.56/119.30 $i > $i]: 930.56/119.30 (Y4))) @ 930.56/119.30 Y3) @ 930.56/119.30 ( 930.56/119.30 c_Inj0 @ 930.56/119.30 ( 930.56/119.30 c_Inj1 @ 930.56/119.30 ( 930.56/119.30 c_setsum @ 930.56/119.30 ( 930.56/119.30 c_setsum @ 930.56/119.30 c_Empty @ 930.56/119.30 c_Empty) @ 930.56/119.30 ( 930.56/119.30 c_setsum @ 930.56/119.30 c_Empty @ 930.56/119.30 c_Empty))))))))))))))))))) => 930.56/119.30 (((((!!) @ (^[Y1 : $i > $i > $i]: 930.56/119.30 (((!!) @ (^[Y2 : $i > $i]: 930.56/119.30 (((!!) @ (^[Y3 : $i]: 930.56/119.30 (((!!) @ ( 930.56/119.30 ^[Y4 : $i > $i]: 930.56/119.30 (((c_In @ 930.56/119.30 (c_Inj0 @ 930.56/119.30 (c_Inj1 @ 930.56/119.30 c_Empty)) @ 930.56/119.30 (c_setsum @ 930.56/119.30 (c_setsum @ 930.56/119.30 ( 930.56/119.30 c_Inj0 @ 930.56/119.30 c_Empty) @ 930.56/119.30 ( 930.56/119.30 c_setsum @ 930.56/119.30 ( 930.56/119.30 c_setsum @ 930.56/119.30 c_Empty @ 930.56/119.30 c_Empty) @ 930.56/119.30 ( 930.56/119.30 c_setsum @ 930.56/119.30 c_Empty @ 930.56/119.30 c_Empty))) @ 930.56/119.30 (c_setsum @ 930.56/119.30 c_Empty @ 930.56/119.30 ( 930.56/119.30 c_setsum @ 930.56/119.30 ( 930.56/119.30 c_Inj0 @ 930.56/119.30 c_Empty) @ 930.56/119.30 ( 930.56/119.30 Y1 @ 930.56/119.30 c_Empty @ 930.56/119.30 c_Empty))))) => 930.56/119.30 (((~) @ ( 930.56/119.30 $false))))))))))))))))) => 930.56/119.30 (((((!!) @ (^[Y1 : $i]: 930.56/119.30 (((!!) @ (^[Y2 : $i > $i]: 930.56/119.30 (((!!) @ (^[Y3 : $i > $i]: 930.56/119.30 (((!!) @ ( 930.56/119.30 ^[Y4 : $i]: 930.56/119.30 (((~) @ ( 930.56/119.30 Y0 @ 930.56/119.30 ( 930.56/119.30 ^[Y5 : $i, 930.56/119.30 Y6 : 930.56/119.30 $i > $i > $i]: 930.56/119.30 (c_Empty)) @ 930.56/119.30 c_Empty @ 930.56/119.30 c_Empty))))))))))))))) => 930.56/119.30 (c_False))))))))))))), 930.56/119.30 inference('ho.refine.early.bird', [status(thm)], [zip_derived_cl553])). 930.56/119.30 thf(zip_derived_cl629, plain, 930.56/119.30 ( (((!!) @ (^[Y0 : ($i > ($i > $i > $i) > $i) > $i > $i > $o]: 930.56/119.30 (((((!!) @ (^[Y1 : ((($i > $i) > $i > $i) > $i) > $i]: 930.56/119.30 (((!!) @ (^[Y2 : $i > $i]: 930.56/119.30 (((!!) @ (^[Y3 : $i]: 930.56/119.30 (((!!) @ (^[Y4 : $i]: 930.56/119.30 ( 930.56/119.30 ( 930.56/119.30 (Y0 @ 930.56/119.30 ( 930.56/119.30 ^[Y5 : $i, 930.56/119.30 Y6 : 930.56/119.30 $i > $i > $i]: 930.56/119.30 (c_Empty)) @ 930.56/119.30 Y4 @ 930.56/119.30 ( 930.56/119.30 c_setsum @ 930.56/119.30 ( 930.56/119.30 c_setsum @ 930.56/119.30 ( 930.56/119.30 c_setsum @ 930.56/119.30 ( 930.56/119.30 c_setsum @ 930.56/119.30 c_Empty @ 930.56/119.30 c_Empty) @ 930.56/119.30 c_Empty) @ 930.56/119.30 ( 930.56/119.30 c_setsum @ 930.56/119.30 ( 930.56/119.30 c_setsum @ 930.56/119.30 c_Empty @ 930.56/119.30 c_Empty) @ 930.56/119.30 ( 930.56/119.30 c_Inj0 @ 930.56/119.30 c_Empty))) @ 930.56/119.30 ( 930.56/119.30 c_setsum @ 930.56/119.30 c_Empty @ 930.56/119.30 ( 930.56/119.30 c_Inj1 @ 930.56/119.30 ( 930.56/119.30 c_setsum @ 930.56/119.30 c_Empty @ 930.56/119.30 c_Empty))))) => 930.56/119.30 (Y0 @ 930.56/119.30 ( 930.56/119.30 ^[Y5 : $i, 930.56/119.30 Y6 : 930.56/119.30 $i > $i > $i]: 930.56/119.30 (Y4)) @ 930.56/119.30 ( 930.56/119.30 c_setsum @ 930.56/119.30 ( 930.56/119.30 Y1 @ 930.56/119.30 ( 930.56/119.30 ^[Y5 : 930.56/119.30 ( 930.56/119.30 $i > $i) > 930.56/119.30 $i > $i]: 930.56/119.30 (Y4))) @ 930.56/119.30 Y3) @ 930.56/119.30 ( 930.56/119.30 c_Inj0 @ 930.56/119.30 ( 930.56/119.30 c_Inj1 @ 930.56/119.30 ( 930.56/119.30 c_setsum @ 930.56/119.30 ( 930.56/119.30 c_setsum @ 930.56/119.30 c_Empty @ 930.56/119.30 c_Empty) @ 930.56/119.30 ( 930.56/119.30 c_setsum @ 930.56/119.30 c_Empty @ 930.56/119.30 c_Empty))))))))))))))))))) => 930.56/119.30 (((((!!) @ (^[Y1 : $i]: 930.56/119.30 (((!!) @ (^[Y2 : $i > $i]: 930.56/119.30 (((!!) @ (^[Y3 : $i > $i]: 930.56/119.30 (((!!) @ (^[Y4 : $i]: 930.56/119.30 (( 930.56/119.30 (~) @ ( 930.56/119.30 Y0 @ 930.56/119.30 ( 930.56/119.30 ^[Y5 : $i, 930.56/119.30 Y6 : 930.56/119.30 $i > $i > $i]: 930.56/119.30 (c_Empty)) @ 930.56/119.30 c_Empty @ 930.56/119.30 c_Empty))))))))))))))) => 930.56/119.30 (c_False))))))))), 930.56/119.30 inference('simplify boolean subterms', [status(thm)], [zip_derived_cl555])). 930.56/119.30 thf(zip_derived_cl630, plain, 930.56/119.30 (![X2 : ($i > ($i > $i > $i) > $i) > $i > $i > $o]: 930.56/119.30 (((((!!) @ (^[Y0 : ((($i > $i) > $i > $i) > $i) > $i]: 930.56/119.30 (((!!) @ (^[Y1 : $i > $i]: 930.56/119.30 (((!!) @ (^[Y2 : $i]: 930.56/119.30 (((!!) @ (^[Y3 : $i]: 930.56/119.30 (((X2 @ 930.56/119.30 (^[Y4 : $i, 930.56/119.30 Y5 : $i > $i > $i]: 930.56/119.30 (c_Empty)) @ 930.56/119.30 Y3 @ 930.56/119.30 (c_setsum @ 930.56/119.30 (c_setsum @ 930.56/119.30 (c_setsum @ 930.56/119.30 (c_setsum @ 930.56/119.30 c_Empty @ 930.56/119.30 c_Empty) @ 930.56/119.30 c_Empty) @ 930.56/119.30 (c_setsum @ 930.56/119.30 (c_setsum @ 930.56/119.30 c_Empty @ 930.56/119.30 c_Empty) @ 930.56/119.30 (c_Inj0 @ 930.56/119.30 c_Empty))) @ 930.56/119.30 (c_setsum @ 930.56/119.30 c_Empty @ 930.56/119.30 (c_Inj1 @ 930.56/119.30 (c_setsum @ 930.56/119.30 c_Empty @ 930.56/119.30 c_Empty))))) => 930.56/119.30 (X2 @ 930.56/119.30 (^[Y4 : $i, 930.56/119.30 Y5 : $i > $i > $i]: 930.56/119.30 (Y3)) @ 930.56/119.30 (c_setsum @ 930.56/119.30 (Y0 @ 930.56/119.30 (^[Y4 : 930.56/119.30 ($i > $i) > 930.56/119.30 $i > $i]: 930.56/119.30 (Y3))) @ 930.56/119.30 Y2) @ 930.56/119.30 (c_Inj0 @ 930.56/119.30 (c_Inj1 @ 930.56/119.30 (c_setsum @ 930.56/119.30 (c_setsum @ 930.56/119.30 c_Empty @ 930.56/119.30 c_Empty) @ 930.56/119.30 (c_setsum @ 930.56/119.30 c_Empty @ 930.56/119.30 c_Empty))))))))))))))))))) => 930.56/119.30 (((((!!) @ (^[Y0 : $i]: 930.56/119.30 (((!!) @ (^[Y1 : $i > $i]: 930.56/119.30 (((!!) @ (^[Y2 : $i > $i]: 930.56/119.30 (((!!) @ (^[Y3 : $i]: 930.56/119.30 (((~) @ ( 930.56/119.30 X2 @ 930.56/119.30 (^[Y4 : $i, 930.56/119.30 Y5 : 930.56/119.30 $i > $i > $i]: 930.56/119.30 (c_Empty)) @ 930.56/119.30 c_Empty @ 930.56/119.30 c_Empty))))))))))))))) => 930.56/119.30 (c_False)))))), 930.56/119.30 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl629])). 930.56/119.30 thf(zip_derived_cl632, plain, 930.56/119.30 ( (((((!!) @ (^[Y0 : ((($i > $i) > $i > $i) > $i) > $i]: 930.56/119.30 (((!!) @ (^[Y1 : $i > $i]: 930.56/119.30 (((!!) @ (^[Y2 : $i]: 930.56/119.30 (((!!) @ (^[Y3 : $i]: 930.56/119.30 ((($false) => 930.56/119.30 ($false))))))))))))))) => 930.56/119.30 (((((!!) @ (^[Y0 : $i]: 930.56/119.30 (((!!) @ (^[Y1 : $i > $i]: 930.56/119.30 (((!!) @ (^[Y2 : $i > $i]: 930.56/119.30 (((!!) @ (^[Y3 : $i]: 930.56/119.30 (((~) @ ($false))))))))))))))) => 930.56/119.30 (c_False)))))), 930.56/119.30 inference('ho.refine.early.bird', [status(thm)], [zip_derived_cl630])). 930.56/119.30 thf(zip_derived_cl675, plain, ( (c_False)), 930.56/119.30 inference('simplify boolean subterms', [status(thm)], [zip_derived_cl632])). 930.56/119.30 thf(zip_derived_cl676, plain, ($false), 930.56/119.30 inference('demod', [status(thm)], [zip_derived_cl26, zip_derived_cl675])). 930.56/119.30 930.56/119.30 % SZS output end Refutation 930.56/119.30 930.56/119.30 930.56/119.30 % Terminating... 930.56/119.30 % /export/starexec/sandbox2/solver/bin/lams/15_sine_deep.sh running for 44s 931.94/119.50 % Runner terminated. 931.96/119.51 % Zipperpin 1.5 exiting 931.96/119.52 EOF