0.00/0.11 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.12/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.DiLnuW9oQ3 true 0.15/0.35 % Computer : n022.cluster.edu 0.15/0.35 % Model : x86_64 x86_64 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.15/0.35 % Memory : 8042.1875MB 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64 0.15/0.35 % CPULimit : 1440 0.15/0.35 % WCLimit : 180 0.15/0.35 % DateTime : Thu Jul 4 09:42:09 EDT 2024 0.15/0.35 % CPUTime : 0.15/0.35 % Running portfolio for 1440 s 0.15/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p 0.15/0.36 % Number of cores: 8 0.15/0.36 % Python version: Python 3.6.8 0.15/0.36 % Running in HO mode 0.53/0.72 % Total configuration time : 828 0.53/0.72 % Estimated wc time : 1656 0.53/0.72 % Estimated cpu time (8 cpus) : 207.0 0.58/0.77 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s 0.58/0.77 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s 0.58/0.77 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s 0.58/0.78 % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s 0.58/0.79 % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s 0.58/0.79 % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s 0.59/0.80 % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s 0.59/0.80 % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s 5.15/1.30 % /export/starexec/sandbox2/solver/bin/lams/30_b.l.sh running for 90s 15.71/2.61 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif.sh running for 56s 155.11/20.20 % Solved by lams/40_noforms.sh. 155.11/20.20 % done 1136 iterations in 19.367s 155.11/20.20 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p' 155.11/20.20 % SZS output start Refutation 155.11/20.20 thf('#l_lift18591_type', type, '#l_lift18591': $i > 155.11/20.20 (($i > $i > $i > $i) > $i) > 155.11/20.20 $i > $i). 155.11/20.20 thf(sk__66_type, type, sk__66: ((($i > $i > $i > $i) > $i) > $i > $i) > $i > $i). 155.11/20.20 thf('#l_lift18588_type', type, '#l_lift18588': $i > 155.11/20.20 (($i > $i > $i > $i) > $i) > 155.11/20.20 $i > $i). 155.11/20.20 thf(c_Power_type, type, c_Power: $i > $i). 155.11/20.20 thf(c_Subq_type, type, c_Subq: $i > $i > $o). 155.11/20.20 thf('#l_lift18592_type', type, '#l_lift18592': $i > $i > $i). 155.11/20.20 thf('#l_lift18584_type', type, '#l_lift18584': $i > $i > $i). 155.11/20.20 thf('#l_lift18576_type', type, '#l_lift18576': ($i > $i > $i) > $i). 155.11/20.20 thf('#l_lift18593_type', type, '#l_lift18593': $i > $i > $i > $i). 155.11/20.20 thf(c_iff_type, type, c_iff: $o > $o > $o). 155.11/20.20 thf(c_Empty_type, type, c_Empty: $i). 155.11/20.20 thf(c_In_type, type, c_In: $i > $i > $o). 155.11/20.20 thf(c_Inj1_type, type, c_Inj1: $i > $i). 155.11/20.20 thf(c_setexp_type, type, c_setexp: $i > $i > $i). 155.11/20.20 thf(sk__65_type, type, sk__65: ($i > $i) > $i > $i). 155.11/20.20 thf('#l_lift18581_type', type, '#l_lift18581': ($i > $i) > 155.11/20.20 (($i > $i > $i > $i) > $i) > 155.11/20.20 $i > $i). 155.11/20.20 thf(c_setsum_type, type, c_setsum: $i > $i > $i). 155.11/20.20 thf('#l_lift18587_type', type, '#l_lift18587': (($i > $i > $i > $i) > $i) > 155.11/20.20 $i > $i). 155.11/20.20 thf(c_Inj0_type, type, c_Inj0: $i > $i). 155.11/20.20 thf(c_Pi_type, type, c_Pi: $i > ($i > $i) > $i). 155.11/20.20 thf(sk__16_type, type, sk__16: $i > $i > $i). 155.11/20.20 thf(c_not_type, type, c_not: $o > $o). 155.11/20.20 thf(sk__23_type, type, sk__23: ($i > $o) > $i). 155.11/20.20 thf('#l_lift18578_type', type, '#l_lift18578': ($i > $i > $i) > $i). 155.11/20.20 thf(c_False_type, type, c_False: $o). 155.11/20.20 thf('#l_lift18580_type', type, '#l_lift18580': $i > $i > $i > $i). 155.11/20.20 thf(sk__64_type, type, sk__64: ($i > $i > $i > $i) > ($i > $i) > 155.11/20.20 (($i > $i > $i) > $i) > $i). 155.11/20.20 thf(sk__67_type, type, sk__67: ($i > $i) > ($i > $i) > $i). 155.11/20.20 thf('#l_lift18548_type', type, '#l_lift18548': $i > $i > $i). 155.11/20.20 thf('#l_lift18579_type', type, '#l_lift18579': (($i > $i > $i > $i) > $i) > 155.11/20.20 $i > $i). 155.11/20.20 thf('#l_lift18577_type', type, '#l_lift18577': $i > $i > $i > $i). 155.11/20.20 thf('#l_lift18589_type', type, '#l_lift18589': (($i > $i > $i > $i) > $i) > 155.11/20.20 $i > $i). 155.11/20.20 thf('#l_lift18573_type', type, '#l_lift18573': (($i > $i > $i > $i) > $i) > 155.11/20.20 $i > $i). 155.11/20.20 thf(ax17, axiom, 155.11/20.20 (![X0:$i,X1:$i]: 155.11/20.20 ( ( c_Subq @ X0 @ X1 ) <=> 155.11/20.20 ( ![X2:$i]: ( ( c_In @ X2 @ X0 ) => ( c_In @ X2 @ X1 ) ) ) ))). 155.11/20.20 thf(zip_derived_cl45, plain, 155.11/20.20 (![X0 : $i, X1 : $i]: 155.11/20.20 ( (c_Subq @ X0 @ X1) | ~ (c_In @ (sk__16 @ X1 @ X0) @ X1))), 155.11/20.20 inference('cnf', [status(esa)], [ax17])). 155.11/20.20 thf(zip_derived_cl46, plain, 155.11/20.20 (![X0 : $i, X1 : $i]: 155.11/20.20 ( (c_Subq @ X0 @ X1) | (c_In @ (sk__16 @ X1 @ X0) @ X0))), 155.11/20.20 inference('cnf', [status(esa)], [ax17])). 155.11/20.20 thf(zip_derived_cl7787, plain, 155.11/20.20 (![X0 : $i]: ( (c_Subq @ X0 @ X0) | (c_Subq @ X0 @ X0))), 155.11/20.20 inference('sup+', [status(thm)], [zip_derived_cl45, zip_derived_cl46])). 155.11/20.20 thf(zip_derived_cl7795, plain, (![X0 : $i]: (c_Subq @ X0 @ X0)), 155.11/20.20 inference('simplify', [status(thm)], [zip_derived_cl7787])). 155.11/20.20 thf(ax3, axiom, 155.11/20.20 (![X0:$o,X1:$o]: ( ( c_iff @ X0 @ X1 ) => ( ( X0 ) <=> ( X1 ) ) ))). 155.11/20.20 thf(zip_derived_cl70, plain, 155.11/20.20 (![X0 : $o, X1 : $o]: (~ (X0) | (X1) | ~ (c_iff @ X1 @ X0))), 155.11/20.20 inference('cnf', [status(esa)], [ax3])). 155.11/20.20 thf(ax7, axiom, 155.11/20.20 (![X0:$i,X1:$i]: 155.11/20.20 ( c_iff @ ( c_In @ X1 @ ( c_Power @ X0 ) ) @ ( c_Subq @ X1 @ X0 ) ))). 155.11/20.20 thf(zip_derived_cl114, plain, 155.11/20.20 (![X0 : $i, X1 : $i]: 155.11/20.20 (c_iff @ (c_In @ X0 @ (c_Power @ X1)) @ (c_Subq @ X0 @ X1))), 155.11/20.20 inference('cnf', [status(esa)], [ax7])). 155.11/20.20 thf(ax13, axiom, 155.11/20.20 (![X0:$o]: ( ( c_not @ X0 ) <=> ( ( X0 ) => ( c_False ) ) ))). 155.11/20.20 thf(zip_derived_cl163, plain, 155.11/20.20 (![X0 : $o]: (~ (X0) | (c_False) | ~ (c_not @ X0))), 155.11/20.20 inference('cnf', [status(esa)], [ax13])). 155.11/20.20 thf(conj, conjecture, 155.11/20.20 (![X0:( ( $i > $i > $i > $i ) > ( $i > $i ) > ( ( $i > $i > $i ) > $i ) > 155.11/20.20 $i ), 155.11/20.20 X1:( ( $i > $i ) > $i > $i ), 155.11/20.20 X2:( ( ( ( $i > $i > $i > $i ) > $i ) > $i > $i ) > $i > $i ), 155.11/20.20 X3:( ( $i > $i ) > ( $i > $i ) > $i )]: 155.11/20.20 ( ( ![X4:( $i > ( ( $i > $i ) > $i ) > $i ),X5:( ( $i > $i ) > $i ), 155.11/20.20 X6:( ( ( $i > $i > $i ) > ( $i > $i ) > $i ) > $i ),X7:$i]: 155.11/20.20 ( ( X3 @ 155.11/20.20 ( ^[X8:$i]: ( c_Inj1 @ c_Empty ) ) @ 155.11/20.20 ( ^[X8:$i]: ( c_setsum @ c_Empty @ c_Empty ) ) ) = 155.11/20.20 ( c_Inj1 @ c_Empty ) ) ) => 155.11/20.20 ( ( ![X4:$i,X5:$i,X6:$i,X7:$i]: 155.11/20.20 ( ( X3 @ ( ^[X8:$i]: ( X6 ) ) @ ( ^[X8:$i]: ( X7 ) ) ) = 155.11/20.20 ( c_setsum @ 155.11/20.20 ( X2 @ 155.11/20.20 ( ^[X8:( ( $i > $i > $i > $i ) > $i ),X9:$i]: ( c_Empty ) ) @ 155.11/20.20 ( X0 @ 155.11/20.20 ( ^[X8:$i,X9:$i,X10:$i]: 155.11/20.20 ( X3 @ ( ^[X11:$i]: ( X10 ) ) @ ( ^[X11:$i]: ( c_Empty ) ) ) ) @ 155.11/20.20 ( ^[X8:$i]: ( c_Empty ) ) @ 155.11/20.20 ( ^[X8:( $i > $i > $i )]: ( c_Empty ) ) ) ) @ 155.11/20.20 c_Empty ) ) ) => 155.11/20.20 ( ( ![X4:( $i > $i ),X5:( $i > $i > $i ),X6:( $i > $i ),X7:$i]: 155.11/20.20 ( ( X2 @ 155.11/20.20 ( ^[X8:( ( $i > $i > $i > $i ) > $i ),X9:$i]: ( X7 ) ) @ 155.11/20.20 c_Empty ) = 155.11/20.20 ( X7 ) ) ) => 155.11/20.20 ( ( ![X4:( $i > ( $i > $i > $i ) > $i ),X5:( $i > $i ), 155.11/20.20 X6:( ( ( ( $i > $i ) > $i ) > $i ) > $i ),X7:( $i > $i )]: 155.11/20.20 ( ( X2 @ 155.11/20.20 ( ^[X8:( ( $i > $i > $i > $i ) > $i ),X9:$i]: 155.11/20.20 ( X7 @ 155.11/20.20 ( X2 @ 155.11/20.20 ( ^[X10:( ( $i > $i > $i > $i ) > $i ),X11:$i]: 155.11/20.20 ( X0 @ 155.11/20.20 ( ^[X12:$i,X13:$i,X14:$i]: ( c_Inj1 @ c_Empty ) ) @ 155.11/20.20 ( ^[X12:$i]: ( c_Inj0 @ c_Empty ) ) @ 155.11/20.20 ( ^[X12:( $i > $i > $i )]: 155.11/20.20 ( X3 @ 155.11/20.20 ( ^[X13:$i]: ( c_Empty ) ) @ 155.11/20.20 ( ^[X13:$i]: ( c_Empty ) ) ) ) ) ) @ 155.11/20.20 ( c_Inj0 @ 155.11/20.20 ( X0 @ 155.11/20.20 ( ^[X10:$i,X11:$i,X12:$i]: ( c_Empty ) ) @ 155.11/20.20 ( ^[X10:$i]: ( c_Empty ) ) @ 155.11/20.20 ( ^[X10:( $i > $i > $i )]: ( c_Empty ) ) ) ) ) ) ) @ 155.11/20.20 ( X3 @ 155.11/20.20 ( ^[X8:$i]: ( c_setsum @ X8 @ c_Empty ) ) @ 155.11/20.20 ( ^[X8:$i]: ( c_Empty ) ) ) ) = 155.11/20.20 ( c_setsum @ 155.11/20.20 ( X7 @ 155.11/20.20 ( X5 @ 155.11/20.20 ( X0 @ 155.11/20.20 ( ^[X8:$i,X9:$i,X10:$i]: ( c_Inj1 @ c_Empty ) ) @ 155.11/20.20 ( ^[X8:$i]: 155.11/20.20 ( X0 @ 155.11/20.20 ( ^[X9:$i,X10:$i,X11:$i]: ( c_Empty ) ) @ 155.11/20.20 ( ^[X9:$i]: ( c_Empty ) ) @ 155.11/20.20 ( ^[X9:( $i > $i > $i )]: ( c_Empty ) ) ) ) @ 155.11/20.20 ( ^[X8:( $i > $i > $i )]: 155.11/20.20 ( c_setsum @ c_Empty @ c_Empty ) ) ) ) ) @ 155.11/20.20 ( X1 @ 155.11/20.20 ( ^[X8:$i]: ( X7 @ c_Empty ) ) @ 155.11/20.20 ( X5 @ 155.11/20.20 ( X4 @ 155.11/20.20 ( X1 @ ( ^[X8:$i]: ( c_Empty ) ) @ c_Empty ) @ 155.11/20.20 ( ^[X8:$i,X9:$i]: ( c_Empty ) ) ) ) ) ) ) ) => 155.11/20.20 ( ( ![X4:( ( ( $i > $i ) > $i > $i ) > $i ),X5:$i,X6:$i,X7:$i]: 155.11/20.20 ( ( X1 @ 155.11/20.20 ( ^[X8:$i]: 155.11/20.20 ( c_Inj1 @ 155.11/20.20 ( X1 @ 155.11/20.20 ( ^[X9:$i]: 155.11/20.20 ( c_Inj0 @ 155.11/20.20 ( X0 @ 155.11/20.20 ( ^[X10:$i,X11:$i,X12:$i]: ( c_Empty ) ) @ 155.11/20.20 ( ^[X10:$i]: ( c_Empty ) ) @ 155.11/20.20 ( ^[X10:( $i > $i > $i )]: ( c_Empty ) ) ) ) ) @ 155.11/20.20 ( c_Inj1 @ X7 ) ) ) ) @ 155.11/20.20 ( c_Inj0 @ 155.11/20.20 ( X2 @ 155.11/20.20 ( ^[X8:( ( $i > $i > $i > $i ) > $i ),X9:$i]: ( X9 ) ) @ 155.11/20.20 X5 ) ) ) = 155.11/20.20 ( c_Inj0 @ 155.11/20.20 ( X2 @ 155.11/20.20 ( ^[X8:( ( $i > $i > $i > $i ) > $i ),X9:$i]: ( X7 ) ) @ 155.11/20.20 ( c_setsum @ c_Empty @ c_Empty ) ) ) ) ) => 155.11/20.20 ( ( ![X4:( ( ( $i > $i ) > $i ) > $i ), 155.11/20.20 X5:( $i > $i > ( $i > $i ) > $i ),X6:$i, 155.11/20.20 X7:( ( $i > $i ) > ( $i > $i ) > $i )]: 155.11/20.20 ( ( X1 @ 155.11/20.20 ( ^[X8:$i]: 155.11/20.20 ( X7 @ 155.11/20.20 ( ^[X9:$i]: ( c_setsum @ X9 @ X8 ) ) @ 155.11/20.20 ( ^[X9:$i]: ( c_Empty ) ) ) ) @ 155.11/20.20 c_Empty ) = 155.11/20.20 ( X7 @ 155.11/20.20 ( ^[X8:$i]: 155.11/20.20 ( c_setsum @ 155.11/20.20 ( X2 @ 155.11/20.20 ( ^[X9:( ( $i > $i > $i > $i ) > $i ),X10:$i]: 155.11/20.20 ( c_Empty ) ) @ 155.11/20.20 ( X3 @ 155.11/20.20 ( ^[X9:$i]: 155.11/20.20 ( X2 @ 155.11/20.20 ( ^[X10:( ( $i > $i > $i > $i ) > $i ), 155.11/20.20 X11:$i]: 155.11/20.20 ( c_Empty ) ) @ 155.11/20.20 c_Empty ) ) @ 155.11/20.20 ( ^[X9:$i]: 155.11/20.20 ( X1 @ ( ^[X10:$i]: ( c_Empty ) ) @ c_Empty ) ) ) ) @ 155.11/20.20 ( X2 @ 155.11/20.20 ( ^[X9:( ( $i > $i > $i > $i ) > $i ),X10:$i]: 155.11/20.20 ( c_Empty ) ) @ 155.11/20.20 ( X2 @ 155.11/20.20 ( ^[X9:( ( $i > $i > $i > $i ) > $i ),X10:$i]: 155.11/20.20 ( c_setsum @ c_Empty @ c_Empty ) ) @ 155.11/20.20 ( X2 @ 155.11/20.20 ( ^[X9:( ( $i > $i > $i > $i ) > $i ),X10:$i]: 155.11/20.20 ( c_Empty ) ) @ 155.11/20.20 c_Empty ) ) ) ) ) @ 155.11/20.20 ( ^[X8:$i]: 155.11/20.20 ( c_Inj1 @ 155.11/20.20 ( X1 @ 155.11/20.20 ( ^[X9:$i]: 155.11/20.20 ( X7 @ 155.11/20.20 ( ^[X10:$i]: 155.11/20.20 ( X1 @ ( ^[X11:$i]: ( c_Empty ) ) @ c_Empty ) ) @ 155.11/20.20 ( ^[X10:$i]: ( c_Inj1 @ c_Empty ) ) ) ) @ 155.11/20.20 X6 ) ) ) ) ) ) => 155.11/20.20 ( ( ![X4:( $i > ( ( $i > $i ) > $i > $i ) > $i ),X5:$i,X6:$i, 155.11/20.20 X7:$i]: 155.11/20.20 ( ( X0 @ 155.11/20.20 ( ^[X8:$i,X9:$i,X10:$i]: ( X7 ) ) @ 155.11/20.20 ( ^[X8:$i]: ( X6 ) ) @ 155.11/20.20 ( ^[X8:( $i > $i > $i )]: ( c_Empty ) ) ) = 155.11/20.20 ( X6 ) ) ) => 155.11/20.20 ( ( ![X4:$i,X5:$i,X6:( $i > ( $i > $i ) > $i ), 155.11/20.20 X7:( $i > $i )]: 155.11/20.20 ( ( X0 @ 155.11/20.20 ( ^[X8:$i,X9:$i,X10:$i]: 155.11/20.20 ( X1 @ 155.11/20.20 ( ^[X11:$i]: 155.11/20.20 ( X2 @ 155.11/20.20 ( ^[X12:( ( $i > $i > $i > $i ) > $i ), 155.11/20.20 X13:$i]: 155.11/20.20 ( X10 ) ) @ 155.11/20.20 ( X2 @ 155.11/20.20 ( ^[X12:( ( $i > $i > $i > $i ) > $i ), 155.11/20.20 X13:$i]: 155.11/20.20 ( c_setsum @ c_Empty @ c_Empty ) ) @ 155.11/20.20 X11 ) ) ) @ 155.11/20.20 ( c_Inj1 @ c_Empty ) ) ) @ 155.11/20.20 ( ^[X8:$i]: ( X7 @ c_Empty ) ) @ 155.11/20.20 ( ^[X8:( $i > $i > $i )]: ( c_Empty ) ) ) = 155.11/20.20 ( X7 @ X4 ) ) ) => 155.11/20.20 ( c_False ) ) ) ) ) ) ) ) ))). 155.11/20.20 thf(zf_stmt_0, negated_conjecture, 155.11/20.20 (~( ![X0:( ( $i > $i > $i > $i ) > ( $i > $i ) > ( ( $i > $i > $i ) > $i ) > 155.11/20.20 $i ), 155.11/20.20 X1:( ( $i > $i ) > $i > $i ), 155.11/20.20 X2:( ( ( ( $i > $i > $i > $i ) > $i ) > $i > $i ) > $i > $i ), 155.11/20.20 X3:( ( $i > $i ) > ( $i > $i ) > $i )]: 155.11/20.20 ( ( ![X4:( $i > ( ( $i > $i ) > $i ) > $i ),X5:( ( $i > $i ) > $i ), 155.11/20.20 X6:( ( ( $i > $i > $i ) > ( $i > $i ) > $i ) > $i ),X7:$i]: 155.11/20.20 ( ( X3 @ 155.11/20.20 ( ^[X8:$i]: ( c_Inj1 @ c_Empty ) ) @ 155.11/20.20 ( ^[X8:$i]: ( c_setsum @ c_Empty @ c_Empty ) ) ) = 155.11/20.20 ( c_Inj1 @ c_Empty ) ) ) => 155.11/20.20 ( ( ![X4:$i,X5:$i,X6:$i,X7:$i]: 155.11/20.20 ( ( X3 @ ( ^[X8:$i]: ( X6 ) ) @ ( ^[X8:$i]: ( X7 ) ) ) = 155.11/20.20 ( c_setsum @ 155.11/20.20 ( X2 @ 155.11/20.20 ( ^[X8:( ( $i > $i > $i > $i ) > $i ),X9:$i]: ( c_Empty ) ) @ 155.11/20.20 ( X0 @ 155.11/20.20 ( ^[X8:$i,X9:$i,X10:$i]: 155.11/20.20 ( X3 @ 155.11/20.20 ( ^[X11:$i]: ( X10 ) ) @ ( ^[X11:$i]: ( c_Empty ) ) ) ) @ 155.11/20.20 ( ^[X8:$i]: ( c_Empty ) ) @ 155.11/20.20 ( ^[X8:( $i > $i > $i )]: ( c_Empty ) ) ) ) @ 155.11/20.20 c_Empty ) ) ) => 155.11/20.20 ( ( ![X4:( $i > $i ),X5:( $i > $i > $i ),X6:( $i > $i ),X7:$i]: 155.11/20.20 ( ( X2 @ 155.11/20.20 ( ^[X8:( ( $i > $i > $i > $i ) > $i ),X9:$i]: ( X7 ) ) @ 155.11/20.20 c_Empty ) = 155.11/20.20 ( X7 ) ) ) => 155.11/20.20 ( ( ![X4:( $i > ( $i > $i > $i ) > $i ),X5:( $i > $i ), 155.11/20.20 X6:( ( ( ( $i > $i ) > $i ) > $i ) > $i ),X7:( $i > $i )]: 155.11/20.20 ( ( X2 @ 155.11/20.20 ( ^[X8:( ( $i > $i > $i > $i ) > $i ),X9:$i]: 155.11/20.20 ( X7 @ 155.11/20.20 ( X2 @ 155.11/20.20 ( ^[X10:( ( $i > $i > $i > $i ) > $i ),X11:$i]: 155.11/20.20 ( X0 @ 155.11/20.20 ( ^[X12:$i,X13:$i,X14:$i]: ( c_Inj1 @ c_Empty ) ) @ 155.11/20.20 ( ^[X12:$i]: ( c_Inj0 @ c_Empty ) ) @ 155.11/20.20 ( ^[X12:( $i > $i > $i )]: 155.11/20.20 ( X3 @ 155.11/20.20 ( ^[X13:$i]: ( c_Empty ) ) @ 155.11/20.20 ( ^[X13:$i]: ( c_Empty ) ) ) ) ) ) @ 155.11/20.20 ( c_Inj0 @ 155.11/20.20 ( X0 @ 155.11/20.20 ( ^[X10:$i,X11:$i,X12:$i]: ( c_Empty ) ) @ 155.11/20.20 ( ^[X10:$i]: ( c_Empty ) ) @ 155.11/20.20 ( ^[X10:( $i > $i > $i )]: ( c_Empty ) ) ) ) ) ) ) @ 155.11/20.20 ( X3 @ 155.11/20.20 ( ^[X8:$i]: ( c_setsum @ X8 @ c_Empty ) ) @ 155.11/20.20 ( ^[X8:$i]: ( c_Empty ) ) ) ) = 155.11/20.20 ( c_setsum @ 155.11/20.20 ( X7 @ 155.11/20.20 ( X5 @ 155.11/20.20 ( X0 @ 155.11/20.20 ( ^[X8:$i,X9:$i,X10:$i]: ( c_Inj1 @ c_Empty ) ) @ 155.11/20.20 ( ^[X8:$i]: 155.11/20.20 ( X0 @ 155.11/20.20 ( ^[X9:$i,X10:$i,X11:$i]: ( c_Empty ) ) @ 155.11/20.20 ( ^[X9:$i]: ( c_Empty ) ) @ 155.11/20.20 ( ^[X9:( $i > $i > $i )]: ( c_Empty ) ) ) ) @ 155.11/20.20 ( ^[X8:( $i > $i > $i )]: 155.11/20.20 ( c_setsum @ c_Empty @ c_Empty ) ) ) ) ) @ 155.11/20.20 ( X1 @ 155.11/20.20 ( ^[X8:$i]: ( X7 @ c_Empty ) ) @ 155.11/20.20 ( X5 @ 155.11/20.20 ( X4 @ 155.11/20.20 ( X1 @ ( ^[X8:$i]: ( c_Empty ) ) @ c_Empty ) @ 155.11/20.21 ( ^[X8:$i,X9:$i]: ( c_Empty ) ) ) ) ) ) ) ) => 155.11/20.21 ( ( ![X4:( ( ( $i > $i ) > $i > $i ) > $i ),X5:$i,X6:$i,X7:$i]: 155.11/20.21 ( ( X1 @ 155.11/20.21 ( ^[X8:$i]: 155.11/20.21 ( c_Inj1 @ 155.11/20.21 ( X1 @ 155.11/20.21 ( ^[X9:$i]: 155.11/20.21 ( c_Inj0 @ 155.11/20.21 ( X0 @ 155.11/20.21 ( ^[X10:$i,X11:$i,X12:$i]: ( c_Empty ) ) @ 155.11/20.21 ( ^[X10:$i]: ( c_Empty ) ) @ 155.11/20.21 ( ^[X10:( $i > $i > $i )]: ( c_Empty ) ) ) ) ) @ 155.11/20.21 ( c_Inj1 @ X7 ) ) ) ) @ 155.11/20.21 ( c_Inj0 @ 155.11/20.21 ( X2 @ 155.11/20.21 ( ^[X8:( ( $i > $i > $i > $i ) > $i ),X9:$i]: 155.11/20.21 ( X9 ) ) @ 155.11/20.21 X5 ) ) ) = 155.11/20.21 ( c_Inj0 @ 155.11/20.21 ( X2 @ 155.11/20.21 ( ^[X8:( ( $i > $i > $i > $i ) > $i ),X9:$i]: ( X7 ) ) @ 155.11/20.21 ( c_setsum @ c_Empty @ c_Empty ) ) ) ) ) => 155.11/20.21 ( ( ![X4:( ( ( $i > $i ) > $i ) > $i ), 155.11/20.21 X5:( $i > $i > ( $i > $i ) > $i ),X6:$i, 155.11/20.21 X7:( ( $i > $i ) > ( $i > $i ) > $i )]: 155.11/20.21 ( ( X1 @ 155.11/20.21 ( ^[X8:$i]: 155.11/20.21 ( X7 @ 155.11/20.21 ( ^[X9:$i]: ( c_setsum @ X9 @ X8 ) ) @ 155.11/20.21 ( ^[X9:$i]: ( c_Empty ) ) ) ) @ 155.11/20.21 c_Empty ) = 155.11/20.21 ( X7 @ 155.11/20.21 ( ^[X8:$i]: 155.11/20.21 ( c_setsum @ 155.11/20.21 ( X2 @ 155.11/20.21 ( ^[X9:( ( $i > $i > $i > $i ) > $i ),X10:$i]: 155.11/20.21 ( c_Empty ) ) @ 155.11/20.21 ( X3 @ 155.11/20.21 ( ^[X9:$i]: 155.11/20.21 ( X2 @ 155.11/20.21 ( ^[X10:( ( $i > $i > $i > $i ) > $i ), 155.11/20.21 X11:$i]: 155.11/20.21 ( c_Empty ) ) @ 155.11/20.21 c_Empty ) ) @ 155.11/20.21 ( ^[X9:$i]: 155.11/20.21 ( X1 @ ( ^[X10:$i]: ( c_Empty ) ) @ c_Empty ) ) ) ) @ 155.11/20.21 ( X2 @ 155.11/20.21 ( ^[X9:( ( $i > $i > $i > $i ) > $i ),X10:$i]: 155.11/20.21 ( c_Empty ) ) @ 155.11/20.21 ( X2 @ 155.11/20.21 ( ^[X9:( ( $i > $i > $i > $i ) > $i ),X10:$i]: 155.11/20.21 ( c_setsum @ c_Empty @ c_Empty ) ) @ 155.11/20.21 ( X2 @ 155.11/20.21 ( ^[X9:( ( $i > $i > $i > $i ) > $i ), 155.11/20.21 X10:$i]: 155.11/20.21 ( c_Empty ) ) @ 155.11/20.21 c_Empty ) ) ) ) ) @ 155.11/20.21 ( ^[X8:$i]: 155.11/20.21 ( c_Inj1 @ 155.11/20.21 ( X1 @ 155.11/20.21 ( ^[X9:$i]: 155.11/20.21 ( X7 @ 155.11/20.21 ( ^[X10:$i]: 155.11/20.21 ( X1 @ 155.11/20.21 ( ^[X11:$i]: ( c_Empty ) ) @ c_Empty ) ) @ 155.11/20.21 ( ^[X10:$i]: ( c_Inj1 @ c_Empty ) ) ) ) @ 155.11/20.21 X6 ) ) ) ) ) ) => 155.11/20.21 ( ( ![X4:( $i > ( ( $i > $i ) > $i > $i ) > $i ),X5:$i, 155.11/20.21 X6:$i,X7:$i]: 155.11/20.21 ( ( X0 @ 155.11/20.21 ( ^[X8:$i,X9:$i,X10:$i]: ( X7 ) ) @ 155.11/20.21 ( ^[X8:$i]: ( X6 ) ) @ 155.11/20.21 ( ^[X8:( $i > $i > $i )]: ( c_Empty ) ) ) = 155.11/20.21 ( X6 ) ) ) => 155.11/20.21 ( ( ![X4:$i,X5:$i,X6:( $i > ( $i > $i ) > $i ), 155.11/20.21 X7:( $i > $i )]: 155.11/20.21 ( ( X0 @ 155.11/20.21 ( ^[X8:$i,X9:$i,X10:$i]: 155.11/20.21 ( X1 @ 155.11/20.21 ( ^[X11:$i]: 155.11/20.21 ( X2 @ 155.11/20.21 ( ^[X12:( ( $i > $i > $i > $i ) > $i ), 155.11/20.21 X13:$i]: 155.11/20.21 ( X10 ) ) @ 155.11/20.21 ( X2 @ 155.11/20.21 ( ^[X12:( ( $i > $i > $i > $i ) > $i ), 155.11/20.21 X13:$i]: 155.11/20.21 ( c_setsum @ c_Empty @ c_Empty ) ) @ 155.11/20.21 X11 ) ) ) @ 155.11/20.21 ( c_Inj1 @ c_Empty ) ) ) @ 155.11/20.21 ( ^[X8:$i]: ( X7 @ c_Empty ) ) @ 155.11/20.21 ( ^[X8:( $i > $i > $i )]: ( c_Empty ) ) ) = 155.11/20.21 ( X7 @ X4 ) ) ) => 155.11/20.21 ( c_False ) ) ) ) ) ) ) ) ) )), 155.11/20.21 inference('cnf.neg', [status(esa)], [conj])). 155.11/20.21 thf(zip_derived_cl227, plain, (~ (c_False)), 155.11/20.21 inference('cnf', [status(esa)], [zf_stmt_0])). 155.11/20.21 thf(zip_derived_cl231, plain, (![X0 : $o]: (~ (c_not @ X0) | ~ (X0))), 155.11/20.21 inference('clc', [status(thm)], [zip_derived_cl163, zip_derived_cl227])). 155.11/20.21 thf(zip_derived_cl232, plain, 155.11/20.21 (![X0 : $o]: (~ (c_not @ (((~) @ X0))) | ~ (((~) @ X0)))), 155.11/20.21 inference('ho.refine', [status(thm)], [zip_derived_cl231])). 155.11/20.21 thf(zip_derived_cl235, plain, 155.11/20.21 (![X0 : $o]: (~ (c_not @ ($true)) | ~ (((~) @ X0)))), 155.11/20.21 inference('local_rewriting', [status(thm)], [zip_derived_cl232])). 155.11/20.21 thf(zip_derived_cl236, plain, (![X0 : $o]: (~ (c_not @ ($true)) | (X0))), 155.11/20.21 inference('simplify nested equalities', [status(thm)], 155.11/20.21 [zip_derived_cl235])). 155.11/20.21 thf(ax5, axiom, (c_not @ ( ?[X0:$i]: ( c_In @ X0 @ c_Empty ) ))). 155.11/20.21 thf(zip_derived_cl155, plain, 155.11/20.21 ( (c_not @ (((??) @ (^[Y0 : $i]: (c_In @ Y0 @ c_Empty)))))), 155.11/20.21 inference('cnf', [status(esa)], [ax5])). 155.11/20.21 thf(zip_derived_cl225, plain, 155.11/20.21 (![X8 : $i, X9 : $i]: 155.11/20.21 ((sk__65 @ 155.11/20.21 (^[Y0 : $i]: 155.11/20.21 (c_Inj1 @ 155.11/20.21 (sk__65 @ 155.11/20.21 (^[Y1 : $i]: 155.11/20.21 (c_Inj0 @ 155.11/20.21 (sk__64 @ (^[Y2 : $i,Y3 : $i,Y4 : $i]: (c_Empty)) @ 155.11/20.21 (^[Y2 : $i]: (c_Empty)) @ 155.11/20.21 (^[Y2 : $i > $i > $i]: (c_Empty))))) @ 155.11/20.21 (c_Inj1 @ X8)))) @ 155.11/20.21 (c_Inj0 @ 155.11/20.21 (sk__66 @ (^[Y0 : ($i > $i > $i > $i) > $i,Y1 : $i]: (Y1)) @ X9))) 155.11/20.21 = (c_Inj0 @ 155.11/20.21 (sk__66 @ (^[Y0 : ($i > $i > $i > $i) > $i,Y1 : $i]: (X8)) @ 155.11/20.21 (c_setsum @ c_Empty @ c_Empty))))), 155.11/20.21 inference('cnf', [status(esa)], [zf_stmt_0])). 155.11/20.21 thf(zip_derived_cl24213, plain, 155.11/20.21 (![X10 : ($i > $i > $i > $i) > $i, X11 : $i]: 155.11/20.21 (('#l_lift18589' @ X10 @ X11) = (X11))), 155.11/20.21 define([status(thm)])). 155.11/20.21 thf(ax10, axiom, 155.11/20.21 (![X0:( $i > $o )]: 155.11/20.21 ( ( ![X1:$i]: 155.11/20.21 ( ( ![X2:$i]: ( ( c_In @ X2 @ X1 ) => ( X0 @ X2 ) ) ) => ( X0 @ X1 ) ) ) => 155.11/20.21 ( ![X1:$i]: ( X0 @ X1 ) ) ))). 155.11/20.21 thf(zip_derived_cl82, plain, 155.11/20.21 (![X0 : $i > $o, X1 : $i]: ( (X0 @ X1) | ~ (X0 @ (sk__23 @ X0)))), 155.11/20.21 inference('cnf', [status(esa)], [ax10])). 155.11/20.21 thf(zip_derived_cl228, plain, 155.11/20.21 (![X12 : $i > $i, X13 : $i]: 155.11/20.21 ((sk__64 @ 155.11/20.21 (^[Y0 : $i,Y1 : $i,Y2 : $i]: 155.11/20.21 (sk__65 @ 155.11/20.21 (^[Y3 : $i]: 155.11/20.21 (sk__66 @ (^[Y4 : ($i > $i > $i > $i) > $i,Y5 : $i]: (Y2)) @ 155.11/20.21 (sk__66 @ 155.11/20.21 (^[Y4 : ($i > $i > $i > $i) > $i,Y5 : $i]: 155.11/20.21 (c_setsum @ c_Empty @ c_Empty)) @ 155.11/20.21 Y3))) @ 155.11/20.21 (c_Inj1 @ c_Empty))) @ 155.11/20.21 (^[Y0 : $i]: (X12 @ c_Empty)) @ (^[Y0 : $i > $i > $i]: (c_Empty))) 155.11/20.21 = (X12 @ X13))), 155.11/20.21 inference('cnf', [status(esa)], [zf_stmt_0])). 155.11/20.21 thf(zip_derived_cl224, plain, 155.11/20.21 (![X7 : $i]: 155.11/20.21 ((sk__66 @ (^[Y0 : ($i > $i > $i > $i) > $i,Y1 : $i]: (X7)) @ c_Empty) 155.11/20.21 = (X7))), 155.11/20.21 inference('cnf', [status(esa)], [zf_stmt_0])). 155.11/20.21 thf(zip_derived_cl24207, plain, 155.11/20.21 (![X7 : $i, X8 : ($i > $i > $i > $i) > $i, X9 : $i]: 155.11/20.21 (('#l_lift18588' @ X7 @ X8 @ X9) = (X7))), 155.11/20.21 define([status(thm)])). 155.11/20.21 thf(ax83, axiom, 155.11/20.21 (![X0:$i,X1:$i]: 155.11/20.21 ( ( c_setexp @ X0 @ X1 ) = ( c_Pi @ X1 @ ( ^[X2:$i]: ( X0 ) ) ) ))). 155.11/20.21 thf(zip_derived_cl5, plain, 155.11/20.21 (![X0 : $i, X1 : $i]: 155.11/20.21 ((c_setexp @ X1 @ X0) = (c_Pi @ X0 @ (^[Y0 : $i]: (X1))))), 155.11/20.21 inference('cnf', [status(esa)], [ax83])). 155.11/20.21 thf(zip_derived_cl24114, plain, 155.11/20.21 (![X1 : $i, X2 : $i]: (('#l_lift18548' @ X1 @ X2) = (X1))), 155.11/20.21 define([status(thm)])). 155.11/20.21 thf(zip_derived_cl220, plain, 155.11/20.21 (![X0 : $i, X1 : $i]: 155.11/20.21 ((sk__67 @ (^[Y0 : $i]: (X0)) @ (^[Y0 : $i]: (X1))) 155.11/20.21 = (c_setsum @ 155.11/20.21 (sk__66 @ 155.11/20.21 (^[Y0 : ($i > $i > $i > $i) > $i,Y1 : $i]: (c_Empty)) @ 155.11/20.21 (sk__64 @ 155.11/20.21 (^[Y0 : $i,Y1 : $i,Y2 : $i]: 155.11/20.21 (sk__67 @ (^[Y3 : $i]: (Y2)) @ (^[Y3 : $i]: (c_Empty)))) @ 155.11/20.21 (^[Y0 : $i]: (c_Empty)) @ (^[Y0 : $i > $i > $i]: (c_Empty)))) @ 155.11/20.21 c_Empty))), 155.11/20.21 inference('cnf', [status(esa)], [zf_stmt_0])). 155.11/20.21 thf(zip_derived_cl24190, plain, 155.11/20.21 (![X9 : $i > $i > $i]: (('#l_lift18576' @ X9) = (c_Empty))), 155.11/20.21 define([status(thm)])). 155.11/20.21 thf(zip_derived_cl228, plain, 155.11/20.21 (![X12 : $i > $i, X13 : $i]: 155.11/20.21 ((sk__64 @ 155.11/20.21 (^[Y0 : $i,Y1 : $i,Y2 : $i]: 155.11/20.21 (sk__65 @ 155.11/20.21 (^[Y3 : $i]: 155.11/20.21 (sk__66 @ (^[Y4 : ($i > $i > $i > $i) > $i,Y5 : $i]: (Y2)) @ 155.11/20.21 (sk__66 @ 155.11/20.21 (^[Y4 : ($i > $i > $i > $i) > $i,Y5 : $i]: 155.11/20.21 (c_setsum @ c_Empty @ c_Empty)) @ 155.11/20.21 Y3))) @ 155.11/20.21 (c_Inj1 @ c_Empty))) @ 155.11/20.21 (^[Y0 : $i]: (X12 @ c_Empty)) @ (^[Y0 : $i > $i > $i]: (c_Empty))) 155.11/20.21 = (X12 @ X13))), 155.11/20.21 inference('cnf', [status(esa)], [zf_stmt_0])). 155.11/20.21 thf(zip_derived_cl24226, plain, 155.11/20.21 (![X19 : $i, X20 : $i, X21 : $i]: 155.11/20.21 (('#l_lift18593' @ X19 @ X20 @ X21) 155.11/20.21 = (sk__65 @ ('#l_lift18592' @ X21) @ (c_Inj1 @ c_Empty)))), 155.11/20.21 define([status(thm)])). 155.11/20.21 thf(zip_derived_cl228, plain, 155.11/20.21 (![X12 : $i > $i, X13 : $i]: 155.11/20.21 ((sk__64 @ 155.11/20.21 (^[Y0 : $i,Y1 : $i,Y2 : $i]: 155.11/20.21 (sk__65 @ 155.11/20.21 (^[Y3 : $i]: 155.11/20.21 (sk__66 @ (^[Y4 : ($i > $i > $i > $i) > $i,Y5 : $i]: (Y2)) @ 155.11/20.21 (sk__66 @ 155.11/20.21 (^[Y4 : ($i > $i > $i > $i) > $i,Y5 : $i]: 155.11/20.21 (c_setsum @ c_Empty @ c_Empty)) @ 155.11/20.21 Y3))) @ 155.11/20.21 (c_Inj1 @ c_Empty))) @ 155.11/20.21 (^[Y0 : $i]: (X12 @ c_Empty)) @ (^[Y0 : $i > $i > $i]: (c_Empty))) 155.11/20.21 = (X12 @ X13))), 155.11/20.21 inference('cnf', [status(esa)], [zf_stmt_0])). 155.11/20.21 thf(zip_derived_cl24225, plain, 155.11/20.21 (![X17 : $i, X18 : $i]: 155.11/20.21 (('#l_lift18592' @ X17 @ X18) 155.11/20.21 = (sk__66 @ ('#l_lift18591' @ X17) @ 155.11/20.21 (sk__66 @ ('#l_lift18588' @ (c_setsum @ c_Empty @ c_Empty)) @ X18)))), 155.11/20.21 define([status(thm)])). 155.11/20.21 thf(zip_derived_cl228, plain, 155.11/20.21 (![X12 : $i > $i, X13 : $i]: 155.11/20.21 ((sk__64 @ 155.11/20.21 (^[Y0 : $i,Y1 : $i,Y2 : $i]: 155.11/20.21 (sk__65 @ 155.11/20.21 (^[Y3 : $i]: 155.11/20.21 (sk__66 @ (^[Y4 : ($i > $i > $i > $i) > $i,Y5 : $i]: (Y2)) @ 155.11/20.21 (sk__66 @ 155.11/20.21 (^[Y4 : ($i > $i > $i > $i) > $i,Y5 : $i]: 155.11/20.21 (c_setsum @ c_Empty @ c_Empty)) @ 155.11/20.21 Y3))) @ 155.11/20.21 (c_Inj1 @ c_Empty))) @ 155.11/20.21 (^[Y0 : $i]: (X12 @ c_Empty)) @ (^[Y0 : $i > $i > $i]: (c_Empty))) 155.11/20.21 = (X12 @ X13))), 155.11/20.21 inference('cnf', [status(esa)], [zf_stmt_0])). 155.11/20.21 thf(zip_derived_cl221, plain, 155.11/20.21 (![X2 : $i > $i, X3 : $i > $i, X4 : $i > ($i > $i > $i) > $i]: 155.11/20.21 ((sk__66 @ 155.11/20.21 (^[Y0 : ($i > $i > $i > $i) > $i,Y1 : $i]: 155.11/20.21 (X2 @ 155.11/20.21 (sk__66 @ 155.11/20.21 (^[Y2 : ($i > $i > $i > $i) > $i,Y3 : $i]: 155.11/20.21 (sk__64 @ 155.11/20.21 (^[Y4 : $i,Y5 : $i,Y6 : $i]: (c_Inj1 @ c_Empty)) @ 155.11/20.21 (^[Y4 : $i]: (c_Inj0 @ c_Empty)) @ 155.11/20.21 (^[Y4 : $i > $i > $i]: 155.11/20.21 (sk__67 @ (^[Y5 : $i]: (c_Empty)) @ 155.11/20.21 (^[Y5 : $i]: (c_Empty)))))) @ 155.11/20.21 (c_Inj0 @ 155.11/20.21 (sk__64 @ (^[Y2 : $i,Y3 : $i,Y4 : $i]: (c_Empty)) @ 155.11/20.21 (^[Y2 : $i]: (c_Empty)) @ (^[Y2 : $i > $i > $i]: (c_Empty))))))) @ 155.11/20.21 (sk__67 @ (^[Y0 : $i]: (c_setsum @ Y0 @ c_Empty)) @ 155.11/20.21 (^[Y0 : $i]: (c_Empty)))) 155.11/20.21 = (c_setsum @ 155.11/20.21 (X2 @ 155.11/20.21 (X3 @ 155.11/20.21 (sk__64 @ (^[Y0 : $i,Y1 : $i,Y2 : $i]: (c_Inj1 @ c_Empty)) @ 155.11/20.21 (^[Y0 : $i]: 155.11/20.21 (sk__64 @ (^[Y1 : $i,Y2 : $i,Y3 : $i]: (c_Empty)) @ 155.11/20.21 (^[Y1 : $i]: (c_Empty)) @ 155.11/20.21 (^[Y1 : $i > $i > $i]: (c_Empty)))) @ 155.11/20.21 (^[Y0 : $i > $i > $i]: (c_setsum @ c_Empty @ c_Empty))))) @ 155.11/20.21 (sk__65 @ (^[Y0 : $i]: (X2 @ c_Empty)) @ 155.11/20.21 (X3 @ 155.11/20.21 (X4 @ (sk__65 @ (^[Y0 : $i]: (c_Empty)) @ c_Empty) @ 155.11/20.21 (^[Y0 : $i,Y1 : $i]: (c_Empty)))))))), 155.11/20.21 inference('cnf', [status(esa)], [zf_stmt_0])). 155.11/20.21 thf(zip_derived_cl24194, plain, 155.11/20.21 (![X9 : ($i > $i > $i > $i) > $i, X10 : $i]: 155.11/20.21 (('#l_lift18579' @ X9 @ X10) 155.11/20.21 = (sk__64 @ '#l_lift18577' @ 155.11/20.21 ('#l_lift18548' @ (c_Inj0 @ c_Empty)) @ '#l_lift18578'))), 155.11/20.21 define([status(thm)])). 155.11/20.21 thf(zip_derived_cl24224, plain, 155.11/20.21 ((('#l_lift18591' @ 155.11/20.21 (sk__64 @ '#l_lift18577' @ ('#l_lift18548' @ (c_Inj0 @ c_Empty)) @ 155.11/20.21 '#l_lift18578')) 155.11/20.21 = ('#l_lift18579'))), 155.11/20.21 define([status(thm)])). 155.11/20.21 thf(zip_derived_cl228, plain, 155.11/20.21 (![X12 : $i > $i, X13 : $i]: 155.11/20.21 ((sk__64 @ 155.11/20.21 (^[Y0 : $i,Y1 : $i,Y2 : $i]: 155.11/20.21 (sk__65 @ 155.11/20.21 (^[Y3 : $i]: 155.11/20.21 (sk__66 @ (^[Y4 : ($i > $i > $i > $i) > $i,Y5 : $i]: (Y2)) @ 155.11/20.21 (sk__66 @ 155.11/20.21 (^[Y4 : ($i > $i > $i > $i) > $i,Y5 : $i]: 155.11/20.21 (c_setsum @ c_Empty @ c_Empty)) @ 155.11/20.21 Y3))) @ 155.11/20.21 (c_Inj1 @ c_Empty))) @ 155.11/20.21 (^[Y0 : $i]: (X12 @ c_Empty)) @ (^[Y0 : $i > $i > $i]: (c_Empty))) 155.11/20.21 = (X12 @ X13))), 155.11/20.21 inference('cnf', [status(esa)], [zf_stmt_0])). 155.11/20.21 thf(zip_derived_cl222, plain, 155.11/20.21 (![X5 : ($i > $i) > ($i > $i) > $i, X6 : $i]: 155.11/20.21 ((sk__65 @ 155.11/20.21 (^[Y0 : $i]: 155.11/20.21 (X5 @ (^[Y1 : $i]: (c_setsum @ Y1 @ Y0)) @ 155.11/20.21 (^[Y1 : $i]: (c_Empty)))) @ 155.11/20.21 c_Empty) 155.11/20.21 = (X5 @ 155.11/20.21 (^[Y0 : $i]: 155.11/20.21 (c_setsum @ 155.11/20.21 (sk__66 @ 155.11/20.21 (^[Y1 : ($i > $i > $i > $i) > $i,Y2 : $i]: (c_Empty)) @ 155.11/20.21 (sk__67 @ 155.11/20.21 (^[Y1 : $i]: 155.11/20.21 (sk__66 @ 155.11/20.21 (^[Y2 : ($i > $i > $i > $i) > $i,Y3 : $i]: (c_Empty)) @ 155.11/20.21 c_Empty)) @ 155.11/20.21 (^[Y1 : $i]: (sk__65 @ (^[Y2 : $i]: (c_Empty)) @ c_Empty)))) @ 155.11/20.21 (sk__66 @ 155.11/20.21 (^[Y1 : ($i > $i > $i > $i) > $i,Y2 : $i]: (c_Empty)) @ 155.11/20.21 (sk__66 @ 155.11/20.21 (^[Y1 : ($i > $i > $i > $i) > $i,Y2 : $i]: 155.11/20.21 (c_setsum @ c_Empty @ c_Empty)) @ 155.11/20.21 (sk__66 @ 155.11/20.21 (^[Y1 : ($i > $i > $i > $i) > $i,Y2 : $i]: (c_Empty)) @ 155.11/20.21 c_Empty))))) @ 155.11/20.21 (^[Y0 : $i]: 155.11/20.21 (c_Inj1 @ 155.11/20.21 (sk__65 @ 155.11/20.21 (^[Y1 : $i]: 155.11/20.21 (X5 @ 155.11/20.21 (^[Y2 : $i]: 155.11/20.21 (sk__65 @ (^[Y3 : $i]: (c_Empty)) @ c_Empty)) @ 155.11/20.21 (^[Y2 : $i]: (c_Inj1 @ c_Empty)))) @ 155.11/20.21 X6)))))), 155.11/20.21 inference('cnf', [status(esa)], [zf_stmt_0])). 155.11/20.21 thf(zip_derived_cl24204, plain, 155.11/20.21 (![X10 : ($i > $i > $i > $i) > $i, X11 : $i]: 155.11/20.21 (('#l_lift18587' @ X10 @ X11) = (c_setsum @ c_Empty @ c_Empty))), 155.11/20.21 define([status(thm)])). 155.11/20.21 thf(zip_derived_cl24223, plain, 155.11/20.21 ((('#l_lift18591' @ (c_setsum @ c_Empty @ c_Empty)) = ('#l_lift18587'))), 155.11/20.21 define([status(thm)])). 155.11/20.21 thf(zip_derived_cl228, plain, 155.11/20.21 (![X12 : $i > $i, X13 : $i]: 155.11/20.21 ((sk__64 @ 155.11/20.21 (^[Y0 : $i,Y1 : $i,Y2 : $i]: 155.11/20.21 (sk__65 @ 155.11/20.21 (^[Y3 : $i]: 155.11/20.21 (sk__66 @ (^[Y4 : ($i > $i > $i > $i) > $i,Y5 : $i]: (Y2)) @ 155.11/20.21 (sk__66 @ 155.11/20.21 (^[Y4 : ($i > $i > $i > $i) > $i,Y5 : $i]: 155.11/20.21 (c_setsum @ c_Empty @ c_Empty)) @ 155.11/20.21 Y3))) @ 155.11/20.21 (c_Inj1 @ c_Empty))) @ 155.11/20.21 (^[Y0 : $i]: (X12 @ c_Empty)) @ (^[Y0 : $i > $i > $i]: (c_Empty))) 155.11/20.21 = (X12 @ X13))), 155.11/20.21 inference('cnf', [status(esa)], [zf_stmt_0])). 155.11/20.21 thf(zip_derived_cl220, plain, 155.11/20.21 (![X0 : $i, X1 : $i]: 155.11/20.21 ((sk__67 @ (^[Y0 : $i]: (X0)) @ (^[Y0 : $i]: (X1))) 155.11/20.21 = (c_setsum @ 155.11/20.21 (sk__66 @ 155.11/20.21 (^[Y0 : ($i > $i > $i > $i) > $i,Y1 : $i]: (c_Empty)) @ 155.11/20.21 (sk__64 @ 155.11/20.21 (^[Y0 : $i,Y1 : $i,Y2 : $i]: 155.11/20.21 (sk__67 @ (^[Y3 : $i]: (Y2)) @ (^[Y3 : $i]: (c_Empty)))) @ 155.11/20.21 (^[Y0 : $i]: (c_Empty)) @ (^[Y0 : $i > $i > $i]: (c_Empty)))) @ 155.11/20.21 c_Empty))), 155.11/20.21 inference('cnf', [status(esa)], [zf_stmt_0])). 155.11/20.21 thf(zip_derived_cl24186, plain, 155.11/20.21 (![X2 : ($i > $i > $i > $i) > $i, X3 : $i]: 155.11/20.21 (('#l_lift18573' @ X2 @ X3) = (c_Empty))), 155.11/20.21 define([status(thm)])). 155.11/20.21 thf(zip_derived_cl24222, plain, 155.11/20.21 ((('#l_lift18591' @ c_Empty) = ('#l_lift18573'))), define([status(thm)])). 155.11/20.21 thf(zip_derived_cl228, plain, 155.11/20.21 (![X12 : $i > $i, X13 : $i]: 155.11/20.21 ((sk__64 @ 155.11/20.21 (^[Y0 : $i,Y1 : $i,Y2 : $i]: 155.11/20.21 (sk__65 @ 155.11/20.21 (^[Y3 : $i]: 155.11/20.21 (sk__66 @ (^[Y4 : ($i > $i > $i > $i) > $i,Y5 : $i]: (Y2)) @ 155.11/20.21 (sk__66 @ 155.11/20.21 (^[Y4 : ($i > $i > $i > $i) > $i,Y5 : $i]: 155.11/20.21 (c_setsum @ c_Empty @ c_Empty)) @ 155.11/20.21 Y3))) @ 155.11/20.21 (c_Inj1 @ c_Empty))) @ 155.11/20.21 (^[Y0 : $i]: (X12 @ c_Empty)) @ (^[Y0 : $i > $i > $i]: (c_Empty))) 155.11/20.21 = (X12 @ X13))), 155.11/20.21 inference('cnf', [status(esa)], [zf_stmt_0])). 155.11/20.21 thf(zip_derived_cl221, plain, 155.11/20.21 (![X2 : $i > $i, X3 : $i > $i, X4 : $i > ($i > $i > $i) > $i]: 155.11/20.21 ((sk__66 @ 155.11/20.21 (^[Y0 : ($i > $i > $i > $i) > $i,Y1 : $i]: 155.11/20.21 (X2 @ 155.11/20.21 (sk__66 @ 155.11/20.21 (^[Y2 : ($i > $i > $i > $i) > $i,Y3 : $i]: 155.11/20.21 (sk__64 @ 155.11/20.21 (^[Y4 : $i,Y5 : $i,Y6 : $i]: (c_Inj1 @ c_Empty)) @ 155.11/20.21 (^[Y4 : $i]: (c_Inj0 @ c_Empty)) @ 155.11/20.21 (^[Y4 : $i > $i > $i]: 155.11/20.21 (sk__67 @ (^[Y5 : $i]: (c_Empty)) @ 155.11/20.21 (^[Y5 : $i]: (c_Empty)))))) @ 155.11/20.21 (c_Inj0 @ 155.11/20.21 (sk__64 @ (^[Y2 : $i,Y3 : $i,Y4 : $i]: (c_Empty)) @ 155.11/20.21 (^[Y2 : $i]: (c_Empty)) @ (^[Y2 : $i > $i > $i]: (c_Empty))))))) @ 155.11/20.21 (sk__67 @ (^[Y0 : $i]: (c_setsum @ Y0 @ c_Empty)) @ 155.11/20.21 (^[Y0 : $i]: (c_Empty)))) 155.11/20.21 = (c_setsum @ 155.11/20.21 (X2 @ 155.11/20.21 (X3 @ 155.11/20.21 (sk__64 @ (^[Y0 : $i,Y1 : $i,Y2 : $i]: (c_Inj1 @ c_Empty)) @ 155.11/20.21 (^[Y0 : $i]: 155.11/20.21 (sk__64 @ (^[Y1 : $i,Y2 : $i,Y3 : $i]: (c_Empty)) @ 155.11/20.21 (^[Y1 : $i]: (c_Empty)) @ 155.11/20.21 (^[Y1 : $i > $i > $i]: (c_Empty)))) @ 155.11/20.21 (^[Y0 : $i > $i > $i]: (c_setsum @ c_Empty @ c_Empty))))) @ 155.11/20.21 (sk__65 @ (^[Y0 : $i]: (X2 @ c_Empty)) @ 155.11/20.21 (X3 @ 155.11/20.21 (X4 @ (sk__65 @ (^[Y0 : $i]: (c_Empty)) @ c_Empty) @ 155.11/20.21 (^[Y0 : $i,Y1 : $i]: (c_Empty)))))))), 155.11/20.21 inference('cnf', [status(esa)], [zf_stmt_0])). 155.11/20.21 thf(zip_derived_cl24196, plain, 155.11/20.21 (![X2 : $i > $i, X14 : ($i > $i > $i > $i) > $i, X15 : $i]: 155.11/20.21 (('#l_lift18581' @ X2 @ X14 @ X15) 155.11/20.21 = (X2 @ 155.11/20.21 (sk__66 @ '#l_lift18579' @ 155.11/20.21 (c_Inj0 @ 155.11/20.21 (sk__64 @ '#l_lift18580' @ ('#l_lift18548' @ c_Empty) @ 155.11/20.21 '#l_lift18576')))))), 155.11/20.21 define([status(thm)])). 155.11/20.21 thf(zip_derived_cl24221, plain, 155.11/20.21 (![X0 : $i > $i]: 155.11/20.21 (('#l_lift18591' @ 155.11/20.21 (X0 @ 155.11/20.21 (sk__66 @ '#l_lift18579' @ 155.11/20.21 (c_Inj0 @ 155.11/20.21 (sk__64 @ '#l_lift18580' @ ('#l_lift18548' @ c_Empty) @ 155.11/20.21 '#l_lift18576'))))) 155.11/20.21 = ('#l_lift18581' @ X0))), 155.11/20.21 define([status(thm)])). 155.11/20.21 thf(zip_derived_cl228, plain, 155.11/20.21 (![X12 : $i > $i, X13 : $i]: 155.11/20.21 ((sk__64 @ 155.11/20.21 (^[Y0 : $i,Y1 : $i,Y2 : $i]: 155.11/20.21 (sk__65 @ 155.11/20.21 (^[Y3 : $i]: 155.11/20.21 (sk__66 @ (^[Y4 : ($i > $i > $i > $i) > $i,Y5 : $i]: (Y2)) @ 155.11/20.21 (sk__66 @ 155.11/20.21 (^[Y4 : ($i > $i > $i > $i) > $i,Y5 : $i]: 155.11/20.21 (c_setsum @ c_Empty @ c_Empty)) @ 155.11/20.21 Y3))) @ 155.11/20.21 (c_Inj1 @ c_Empty))) @ 155.11/20.21 (^[Y0 : $i]: (X12 @ c_Empty)) @ (^[Y0 : $i > $i > $i]: (c_Empty))) 155.11/20.21 = (X12 @ X13))), 155.11/20.21 inference('cnf', [status(esa)], [zf_stmt_0])). 155.11/20.21 thf(zip_derived_cl24207, plain, 155.11/20.21 (![X7 : $i, X8 : ($i > $i > $i > $i) > $i, X9 : $i]: 155.11/20.21 (('#l_lift18588' @ X7 @ X8 @ X9) = (X7))), 155.11/20.21 define([status(thm)])). 155.11/20.21 thf(zip_derived_cl24220, plain, 155.11/20.21 (![X0 : $i]: (('#l_lift18591' @ X0) = ('#l_lift18588' @ X0))), 155.11/20.21 define([status(thm)])). 155.11/20.21 thf(zip_derived_cl228, plain, 155.11/20.21 (![X12 : $i > $i, X13 : $i]: 155.11/20.21 ((sk__64 @ 155.11/20.21 (^[Y0 : $i,Y1 : $i,Y2 : $i]: 155.11/20.21 (sk__65 @ 155.11/20.21 (^[Y3 : $i]: 155.11/20.21 (sk__66 @ (^[Y4 : ($i > $i > $i > $i) > $i,Y5 : $i]: (Y2)) @ 155.11/20.21 (sk__66 @ 155.11/20.21 (^[Y4 : ($i > $i > $i > $i) > $i,Y5 : $i]: 155.11/20.21 (c_setsum @ c_Empty @ c_Empty)) @ 155.11/20.21 Y3))) @ 155.11/20.21 (c_Inj1 @ c_Empty))) @ 155.11/20.21 (^[Y0 : $i]: (X12 @ c_Empty)) @ (^[Y0 : $i > $i > $i]: (c_Empty))) 155.11/20.21 = (X12 @ X13))), 155.11/20.21 inference('cnf', [status(esa)], [zf_stmt_0])). 155.11/20.21 thf(zip_derived_cl24219, plain, 155.11/20.21 (![X14 : $i, X15 : ($i > $i > $i > $i) > $i, X16 : $i]: 155.11/20.21 (('#l_lift18591' @ X14 @ X15 @ X16) = (X14))), 155.11/20.21 define([status(thm)])). 155.11/20.21 thf(zip_derived_cl24227, plain, 155.11/20.21 (![X12 : $i > $i, X13 : $i]: 155.11/20.21 ((sk__64 @ '#l_lift18593' @ ('#l_lift18548' @ (X12 @ c_Empty)) @ 155.11/20.21 '#l_lift18576') = (X12 @ X13))), 155.11/20.21 inference('lambda_lifting', [status(thm)], 155.11/20.21 [zip_derived_cl228, zip_derived_cl24207, zip_derived_cl24114, 155.11/20.21 zip_derived_cl24190, zip_derived_cl24226, 155.11/20.21 zip_derived_cl24225, zip_derived_cl24224, 155.11/20.21 zip_derived_cl24223, zip_derived_cl24222, 155.11/20.21 zip_derived_cl24221, zip_derived_cl24220, zip_derived_cl24219])). 155.11/20.21 thf(zip_derived_cl221, plain, 155.11/20.21 (![X2 : $i > $i, X3 : $i > $i, X4 : $i > ($i > $i > $i) > $i]: 155.11/20.21 ((sk__66 @ 155.11/20.21 (^[Y0 : ($i > $i > $i > $i) > $i,Y1 : $i]: 155.11/20.21 (X2 @ 155.11/20.21 (sk__66 @ 155.11/20.21 (^[Y2 : ($i > $i > $i > $i) > $i,Y3 : $i]: 155.11/20.21 (sk__64 @ 155.11/20.21 (^[Y4 : $i,Y5 : $i,Y6 : $i]: (c_Inj1 @ c_Empty)) @ 155.11/20.21 (^[Y4 : $i]: (c_Inj0 @ c_Empty)) @ 155.11/20.21 (^[Y4 : $i > $i > $i]: 155.11/20.21 (sk__67 @ (^[Y5 : $i]: (c_Empty)) @ 155.11/20.21 (^[Y5 : $i]: (c_Empty)))))) @ 155.11/20.21 (c_Inj0 @ 155.11/20.21 (sk__64 @ (^[Y2 : $i,Y3 : $i,Y4 : $i]: (c_Empty)) @ 155.11/20.21 (^[Y2 : $i]: (c_Empty)) @ (^[Y2 : $i > $i > $i]: (c_Empty))))))) @ 155.11/20.21 (sk__67 @ (^[Y0 : $i]: (c_setsum @ Y0 @ c_Empty)) @ 155.11/20.21 (^[Y0 : $i]: (c_Empty)))) 155.11/20.21 = (c_setsum @ 155.11/20.21 (X2 @ 155.11/20.21 (X3 @ 155.11/20.21 (sk__64 @ (^[Y0 : $i,Y1 : $i,Y2 : $i]: (c_Inj1 @ c_Empty)) @ 155.11/20.21 (^[Y0 : $i]: 155.11/20.21 (sk__64 @ (^[Y1 : $i,Y2 : $i,Y3 : $i]: (c_Empty)) @ 155.11/20.21 (^[Y1 : $i]: (c_Empty)) @ 155.11/20.21 (^[Y1 : $i > $i > $i]: (c_Empty)))) @ 155.11/20.21 (^[Y0 : $i > $i > $i]: (c_setsum @ c_Empty @ c_Empty))))) @ 155.11/20.21 (sk__65 @ (^[Y0 : $i]: (X2 @ c_Empty)) @ 155.11/20.21 (X3 @ 155.11/20.21 (X4 @ (sk__65 @ (^[Y0 : $i]: (c_Empty)) @ c_Empty) @ 155.11/20.21 (^[Y0 : $i,Y1 : $i]: (c_Empty)))))))), 155.11/20.21 inference('cnf', [status(esa)], [zf_stmt_0])). 155.11/20.21 thf(zip_derived_cl24199, plain, 155.11/20.21 (![X18 : $i, X19 : $i]: (('#l_lift18584' @ X18 @ X19) = (c_Empty))), 155.11/20.21 define([status(thm)])). 155.11/20.21 thf(zip_derived_cl24271, plain, ($false), 155.11/20.21 inference('eprover', [status(thm)], 155.11/20.21 [zip_derived_cl7795, zip_derived_cl70, zip_derived_cl114, 155.11/20.21 zip_derived_cl236, zip_derived_cl155, zip_derived_cl24213, 155.11/20.21 zip_derived_cl82, zip_derived_cl24227, zip_derived_cl24199])). 155.11/20.21 155.11/20.21 % SZS output end Refutation 155.11/20.21 155.11/20.21 155.11/20.21 % Terminating... 155.11/20.28 % Runner terminated. 155.14/20.29 % Zipperpin 1.5 exiting 155.14/20.29 EOF