0.00/0.13 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.13/0.16 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.AxI4stlISy true 0.16/0.38 % Computer : n007.cluster.edu 0.16/0.38 % Model : x86_64 x86_64 0.16/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.16/0.38 % Memory : 8042.1875MB 0.16/0.38 % OS : Linux 3.10.0-693.el7.x86_64 0.16/0.38 % CPULimit : 1200 0.16/0.38 % WCLimit : 120 0.16/0.38 % DateTime : Tue Jul 13 12:27:34 EDT 2021 0.16/0.38 % CPUTime : 0.16/0.38 % Running portfolio for 120 s 0.16/0.38 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p 0.16/0.38 % Number of cores: 8 0.16/0.39 % Python version: Python 3.6.8 0.16/0.39 % Running in HO mode 0.55/0.67 % Total configuration time : 828 0.55/0.67 % Estimated wc time : 983 0.55/0.67 % Estimated cpu time (8 cpus) : 122.875 0.55/0.75 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 47s 0.55/0.78 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 47s 0.55/0.78 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 47s 0.55/0.78 % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 18s 0.55/0.79 % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 53s 0.55/0.80 % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 41s 0.55/0.80 % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 35s 0.55/0.81 % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 24s 0.57/1.11 % /export/starexec/sandbox2/solver/bin/lams/30_b.l.sh running for 53s 3.86/1.48 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif.sh running for 33s 74.52/11.87 % Solved by lams/40_noforms.sh. 74.52/11.87 % running E: timeout 44 /export/starexec/sandbox2/solver/bin/lams/eprover-ho --pos-ext=all --neg-ext=all /export/starexec/sandbox2/tmp/tmp.AxI4stlISy/e_input639f6a --cpu-limit=42 --auto-schedule -s -p 74.52/11.87 % done 462 iterations in 10.948s 74.52/11.87 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p' 74.52/11.87 % SZS output start Refutation 74.52/11.87 thf(c_not_type, type, c_not: $o > $o). 74.52/11.87 thf('#l_lift12426_type', type, '#l_lift12426': $i > $i > $i). 74.52/11.87 thf('#l_lift12457_type', type, '#l_lift12457': (($i > $i > $i > $i) > $i) > 74.52/11.87 ($i > ($i > $i) > $i) > $i). 74.52/11.87 thf(c_In_type, type, c_In: $i > $i > $o). 74.52/11.87 thf(c_setexp_type, type, c_setexp: $i > $i > $i). 74.52/11.87 thf(c_False_type, type, c_False: $o). 74.52/11.87 thf(c_Subq_type, type, c_Subq: $i > $i > $o). 74.52/11.87 thf(c_iff_type, type, c_iff: $o > $o > $o). 74.52/11.87 thf(c_Pi_type, type, c_Pi: $i > ($i > $i) > $i). 74.52/11.87 thf(c_Inj0_type, type, c_Inj0: $i > $i). 74.52/11.87 thf('#l_lift12456_type', type, '#l_lift12456': ($i > ($i > $i) > $i) > $i > 74.52/11.87 $i > $i > $i). 74.52/11.87 thf(c_Inj1_type, type, c_Inj1: $i > $i). 74.52/11.87 thf(sk__20_type, type, sk__20: $i > $i > $i). 74.52/11.87 thf(c_setsum_type, type, c_setsum: $i > $i > $i). 74.52/11.87 thf(c_Empty_type, type, c_Empty: $i). 74.52/11.87 thf('#l_lift12455_type', type, '#l_lift12455': ($i > (($i > $i) > $i > $i) > 74.52/11.87 $i > $i) > 74.52/11.87 $i > $i > ($i > $i) > $i > $i). 74.52/11.87 thf(sk__65_type, type, sk__65: (($i > (($i > $i) > $i > $i) > $i > $i) > 74.52/11.87 $i > $i > ($i > $i) > $i > $i) > 74.52/11.87 (($i > ($i > $i) > $i) > $i) > $i). 74.52/11.87 thf(c_Power_type, type, c_Power: $i > $i). 74.52/11.87 thf(ax17, axiom, 74.52/11.87 (![X0:$i,X1:$i]: 74.52/11.87 ( ( c_Subq @ X0 @ X1 ) <=> 74.52/11.87 ( ![X2:$i]: ( ( c_In @ X2 @ X0 ) => ( c_In @ X2 @ X1 ) ) ) ))). 74.52/11.87 thf(zip_derived_cl62, plain, 74.52/11.87 (![X0 : $i, X1 : $i]: 74.52/11.87 ( (c_Subq @ X0 @ X1) | (c_In @ (sk__20 @ X1 @ X0) @ X0))), 74.52/11.87 inference('cnf', [status(esa)], [ax17])). 74.52/11.87 thf(ax7, axiom, 74.52/11.87 (![X0:$i,X1:$i]: 74.52/11.87 ( c_iff @ ( c_In @ X1 @ ( c_Power @ X0 ) ) @ ( c_Subq @ X1 @ X0 ) ))). 74.52/11.87 thf(zip_derived_cl199, plain, 74.52/11.87 (![X0 : $i, X1 : $i]: 74.52/11.87 (c_iff @ (c_In @ X0 @ (c_Power @ X1)) @ (c_Subq @ X0 @ X1))), 74.52/11.87 inference('cnf', [status(esa)], [ax7])). 74.52/11.87 thf(conj, conjecture, 74.52/11.87 (![X0:( ( $i > $i ) > ( $i > $i > ( $i > $i ) > $i ) > $i ), 74.52/11.87 X1:( ( ( $i > ( ( $i > $i ) > $i > $i ) > $i > $i ) > $i > $i > 74.52/11.87 ( $i > $i ) > $i > $i ) > 74.52/11.87 ( ( $i > ( $i > $i ) > $i ) > $i ) > $i ), 74.52/11.87 X2:( ( ( $i > ( ( $i > $i ) > $i > $i ) > $i > $i > $i ) > $i ) > 74.52/11.87 ( $i > ( ( $i > $i ) > $i ) > ( $i > $i ) > $i ) > $i > $i ), 74.52/11.87 X3:( ( ( ( ( $i > $i > $i ) > $i > $i ) > $i ) > ( $i > $i > $i ) > $i ) > 74.52/11.87 $i > $i )]: 74.52/11.87 ( ( ![X4:$i,X5:$i,X6:$i,X7:( ( $i > $i ) > $i )]: 74.52/11.87 ( ( X3 @ 74.52/11.87 ( ^[X8:( ( ( $i > $i > $i ) > $i > $i ) > $i ),X9:( $i > $i > $i )]: 74.52/11.87 ( X2 @ 74.52/11.87 ( ^[X10:( $i > ( ( $i > $i ) > $i > $i ) > $i > $i > $i )]: 74.52/11.87 ( c_Empty ) ) @ 74.52/11.87 ( ^[X10:$i,X11:( ( $i > $i ) > $i ),X12:( $i > $i )]: 74.52/11.87 ( c_setsum @ 74.52/11.87 ( c_Inj1 @ ( c_Inj0 @ c_Empty ) ) @ 74.52/11.87 ( X9 @ ( c_Inj1 @ c_Empty ) @ ( c_Inj0 @ c_Empty ) ) ) ) @ 74.52/11.87 ( X0 @ 74.52/11.87 ( ^[X10:$i]: ( X10 ) ) @ 74.52/11.87 ( ^[X10:$i,X11:$i,X12:( $i > $i )]: 74.52/11.87 ( c_setsum @ 74.52/11.87 ( X1 @ 74.52/11.87 ( ^[X13:( $i > ( ( $i > $i ) > $i > $i ) > $i > $i ), 74.52/11.87 X14:$i,X15:$i,X16:( $i > $i ),X17:$i]: 74.52/11.87 ( c_Empty ) ) @ 74.52/11.87 ( ^[X13:( $i > ( $i > $i ) > $i )]: ( c_Empty ) ) ) @ 74.52/11.87 ( c_setsum @ c_Empty @ c_Empty ) ) ) ) ) ) @ 74.52/11.87 ( X2 @ 74.52/11.87 ( ^[X8:( $i > ( ( $i > $i ) > $i > $i ) > $i > $i > $i )]: 74.52/11.87 ( c_setsum @ 74.52/11.87 ( X3 @ 74.52/11.87 ( ^[X9:( ( ( $i > $i > $i ) > $i > $i ) > $i ), 74.52/11.87 X10:( $i > $i > $i )]: 74.52/11.87 ( c_Empty ) ) @ 74.52/11.87 X5 ) @ 74.52/11.87 ( X2 @ 74.52/11.87 ( ^[X9:( $i > ( ( $i > $i ) > $i > $i ) > $i > $i > $i )]: 74.52/11.87 ( X7 @ ( ^[X10:$i]: ( c_Empty ) ) ) ) @ 74.52/11.87 ( ^[X9:$i,X10:( ( $i > $i ) > $i ),X11:( $i > $i )]: 74.52/11.87 ( c_setsum @ c_Empty @ c_Empty ) ) @ 74.52/11.87 ( X0 @ 74.52/11.87 ( ^[X9:$i]: ( c_Empty ) ) @ 74.52/11.87 ( ^[X9:$i,X10:$i,X11:( $i > $i )]: ( c_Empty ) ) ) ) ) ) @ 74.52/11.87 ( ^[X8:$i,X9:( ( $i > $i ) > $i ),X10:( $i > $i )]: ( X8 ) ) @ 74.52/11.87 X4 ) ) = 74.52/11.87 ( c_setsum @ X5 @ X4 ) ) ) => 74.52/11.87 ( ( ![X4:( ( $i > ( $i > $i ) > $i ) > $i ),X5:$i,X6:$i,X7:$i]: 74.52/11.87 ( ( X3 @ 74.52/11.87 ( ^[X8:( ( ( $i > $i > $i ) > $i > $i ) > $i ), 74.52/11.87 X9:( $i > $i > $i )]: 74.52/11.87 ( c_Empty ) ) @ 74.52/11.87 c_Empty ) = 74.52/11.87 ( c_setsum @ 74.52/11.87 c_Empty @ ( X4 @ ( ^[X8:$i,X9:( $i > $i )]: ( c_Empty ) ) ) ) ) ) => 74.52/11.87 ( ( ![X4:( $i > ( $i > $i ) > ( $i > $i ) > $i > $i ), 74.52/11.87 X5:( $i > $i > ( $i > $i ) > $i ),X6:$i,X7:( $i > $i )]: 74.52/11.87 ( ( X2 @ 74.52/11.87 ( ^[X8:( $i > ( ( $i > $i ) > $i > $i ) > $i > $i > $i )]: 74.52/11.87 ( X0 @ 74.52/11.87 ( ^[X9:$i]: ( c_Empty ) ) @ 74.52/11.87 ( ^[X9:$i,X10:$i,X11:( $i > $i )]: 74.52/11.87 ( c_Inj0 @ ( c_Inj0 @ ( c_setsum @ c_Empty @ c_Empty ) ) ) ) ) ) @ 74.52/11.87 ( ^[X8:$i,X9:( ( $i > $i ) > $i ),X10:( $i > $i )]: 74.52/11.87 ( c_setsum @ 74.52/11.87 ( X0 @ 74.52/11.87 ( ^[X11:$i]: 74.52/11.87 ( c_setsum @ 74.52/11.87 X11 @ 74.52/11.87 ( X1 @ 74.52/11.87 ( ^[X12:( $i > ( ( $i > $i ) > $i > $i ) > $i > $i ), 74.52/11.87 X13:$i,X14:$i,X15:( $i > $i ),X16:$i]: 74.52/11.87 ( c_Empty ) ) @ 74.52/11.87 ( ^[X12:( $i > ( $i > $i ) > $i )]: ( c_Empty ) ) ) ) ) @ 74.52/11.87 ( ^[X11:$i,X12:$i,X13:( $i > $i )]: 74.52/11.87 ( c_setsum @ 74.52/11.87 ( c_setsum @ c_Empty @ c_Empty ) @ 74.52/11.87 ( c_Inj1 @ c_Empty ) ) ) ) @ 74.52/11.87 ( c_setsum @ 74.52/11.87 c_Empty @ 74.52/11.87 ( c_setsum @ 74.52/11.87 ( c_setsum @ c_Empty @ c_Empty ) @ 74.52/11.87 ( X3 @ 74.52/11.87 ( ^[X11:( ( ( $i > $i > $i ) > $i > $i ) > $i ), 74.52/11.87 X12:( $i > $i > $i )]: 74.52/11.87 ( c_Empty ) ) @ 74.52/11.87 c_Empty ) ) ) ) ) @ 74.52/11.87 ( X4 @ 74.52/11.87 ( X3 @ 74.52/11.87 ( ^[X8:( ( ( $i > $i > $i ) > $i > $i ) > $i ), 74.52/11.87 X9:( $i > $i > $i )]: 74.52/11.87 ( c_Empty ) ) @ 74.52/11.87 ( c_setsum @ ( c_Inj0 @ c_Empty ) @ c_Empty ) ) @ 74.52/11.87 ( ^[X8:$i]: ( c_setsum @ c_Empty @ ( c_Inj0 @ c_Empty ) ) ) @ 74.52/11.87 ( ^[X8:$i]: 74.52/11.87 ( c_setsum @ 74.52/11.87 c_Empty @ 74.52/11.87 ( c_setsum @ 74.52/11.87 c_Empty @ 74.52/11.87 ( X5 @ c_Empty @ c_Empty @ ( ^[X9:$i]: ( c_Empty ) ) ) ) ) ) @ 74.52/11.87 ( X1 @ 74.52/11.87 ( ^[X8:( $i > ( ( $i > $i ) > $i > $i ) > $i > $i ),X9:$i, 74.52/11.87 X10:$i,X11:( $i > $i ),X12:$i]: 74.52/11.87 ( c_Empty ) ) @ 74.52/11.87 ( ^[X8:( $i > ( $i > $i ) > $i )]: ( c_Empty ) ) ) ) ) = 74.52/11.87 ( X0 @ 74.52/11.87 ( ^[X8:$i]: 74.52/11.87 ( X0 @ 74.52/11.87 ( ^[X9:$i]: ( c_Empty ) ) @ 74.52/11.87 ( ^[X9:$i,X10:$i,X11:( $i > $i )]: 74.52/11.87 ( c_setsum @ 74.52/11.87 ( X1 @ 74.52/11.87 ( ^[X12:( $i > ( ( $i > $i ) > $i > $i ) > $i > $i ), 74.52/11.87 X13:$i,X14:$i,X15:( $i > $i ),X16:$i]: 74.52/11.87 ( c_Empty ) ) @ 74.52/11.87 ( ^[X12:( $i > ( $i > $i ) > $i )]: ( c_Empty ) ) ) @ 74.52/11.87 ( c_Inj1 @ X10 ) ) ) ) ) @ 74.52/11.87 ( ^[X8:$i,X9:$i,X10:( $i > $i )]: 74.52/11.87 ( c_setsum @ 74.52/11.87 ( X7 @ 74.52/11.87 ( c_setsum @ 74.52/11.87 X9 @ 74.52/11.87 ( X1 @ 74.52/11.87 ( ^[X11:( $i > ( ( $i > $i ) > $i > $i ) > $i > $i ), 74.52/11.87 X12:$i,X13:$i,X14:( $i > $i ),X15:$i]: 74.52/11.87 ( c_Empty ) ) @ 74.52/11.87 ( ^[X11:( $i > ( $i > $i ) > $i )]: ( c_Empty ) ) ) ) ) @ 74.52/11.87 c_Empty ) ) ) ) ) => 74.52/11.87 ( ( ![X4:( ( $i > ( $i > $i ) > $i > $i ) > ( ( $i > $i ) > $i ) > 74.52/11.87 $i ), 74.52/11.87 X5:$i,X6:$i,X7:$i]: 74.52/11.87 ( ( X2 @ 74.52/11.87 ( ^[X8:( $i > ( ( $i > $i ) > $i > $i ) > $i > $i > $i )]: 74.52/11.87 ( c_setsum @ 74.52/11.87 c_Empty @ 74.52/11.87 ( c_setsum @ 74.52/11.87 ( c_setsum @ 74.52/11.87 ( X2 @ 74.52/11.87 ( ^[X9:( $i > ( ( $i > $i ) > $i > $i ) > $i > $i > 74.52/11.87 $i )]: 74.52/11.87 ( c_Empty ) ) @ 74.52/11.87 ( ^[X9:$i,X10:( ( $i > $i ) > $i ),X11:( $i > $i )]: 74.52/11.87 ( c_Empty ) ) @ 74.52/11.87 c_Empty ) @ 74.52/11.87 ( X3 @ 74.52/11.87 ( ^[X9:( ( ( $i > $i > $i ) > $i > $i ) > $i ), 74.52/11.87 X10:( $i > $i > $i )]: 74.52/11.87 ( c_Empty ) ) @ 74.52/11.87 c_Empty ) ) @ 74.52/11.87 c_Empty ) ) ) @ 74.52/11.87 ( ^[X8:$i,X9:( ( $i > $i ) > $i ),X10:( $i > $i )]: 74.52/11.87 ( c_setsum @ 74.52/11.87 ( c_setsum @ c_Empty @ X7 ) @ 74.52/11.87 ( X1 @ 74.52/11.87 ( ^[X11:( $i > ( ( $i > $i ) > $i > $i ) > $i > $i ), 74.52/11.87 X12:$i,X13:$i,X14:( $i > $i ),X15:$i]: 74.52/11.87 ( X3 @ 74.52/11.87 ( ^[X16:( ( ( $i > $i > $i ) > $i > $i ) > $i ), 74.52/11.87 X17:( $i > $i > $i )]: 74.52/11.87 ( X14 @ c_Empty ) ) @ 74.52/11.87 X12 ) ) @ 74.52/11.87 ( ^[X11:( $i > ( $i > $i ) > $i )]: 74.52/11.87 ( c_Inj1 @ 74.52/11.87 ( X1 @ 74.52/11.87 ( ^[X12:( $i > ( ( $i > $i ) > $i > $i ) > $i > 74.52/11.87 $i ), 74.52/11.87 X13:$i,X14:$i,X15:( $i > $i ),X16:$i]: 74.52/11.87 ( c_Empty ) ) @ 74.52/11.87 ( ^[X12:( $i > ( $i > $i ) > $i )]: ( c_Empty ) ) ) ) ) ) ) ) @ 74.52/11.87 c_Empty ) = 74.52/11.87 ( X4 @ 74.52/11.87 ( ^[X8:$i,X9:( $i > $i ),X10:$i]: 74.52/11.87 ( X3 @ 74.52/11.87 ( ^[X11:( ( ( $i > $i > $i ) > $i > $i ) > $i ), 74.52/11.87 X12:( $i > $i > $i )]: 74.52/11.87 ( X12 @ 74.52/11.87 ( X1 @ 74.52/11.87 ( ^[X13:( $i > ( ( $i > $i ) > $i > $i ) > $i > $i ), 74.52/11.87 X14:$i,X15:$i,X16:( $i > $i ),X17:$i]: 74.52/11.87 ( X2 @ 74.52/11.87 ( ^[X18:( $i > ( ( $i > $i ) > $i > $i ) > 74.52/11.87 $i > $i > $i )]: 74.52/11.87 ( c_Empty ) ) @ 74.52/11.87 ( ^[X18:$i,X19:( ( $i > $i ) > $i ), 74.52/11.87 X20:( $i > $i )]: 74.52/11.87 ( c_Empty ) ) @ 74.52/11.87 c_Empty ) ) @ 74.52/11.87 ( ^[X13:( $i > ( $i > $i ) > $i )]: ( c_Empty ) ) ) @ 74.52/11.87 ( c_Inj0 @ c_Empty ) ) ) @ 74.52/11.87 ( X9 @ c_Empty ) ) ) @ 74.52/11.87 ( ^[X8:( $i > $i )]: ( c_Empty ) ) ) ) ) => 74.52/11.87 ( ( ![X4:( ( $i > $i > $i > $i ) > $i ),X5:$i,X6:$i, 74.52/11.87 X7:( ( $i > $i > $i > $i ) > $i )]: 74.52/11.87 ( ( X1 @ 74.52/11.87 ( ^[X8:( $i > ( ( $i > $i ) > $i > $i ) > $i > $i ),X9:$i, 74.52/11.87 X10:$i,X11:( $i > $i ),X12:$i]: 74.52/11.87 ( X9 ) ) @ 74.52/11.87 ( ^[X8:( $i > ( $i > $i ) > $i )]: 74.52/11.87 ( c_setsum @ 74.52/11.87 c_Empty @ 74.52/11.87 ( c_setsum @ 74.52/11.87 ( X7 @ 74.52/11.87 ( ^[X9:$i,X10:$i,X11:$i]: 74.52/11.87 ( X8 @ c_Empty @ ( ^[X12:$i]: ( c_Empty ) ) ) ) ) @ 74.52/11.87 ( c_setsum @ 74.52/11.87 ( c_setsum @ c_Empty @ c_Empty ) @ 74.52/11.87 ( X8 @ c_Empty @ ( ^[X9:$i]: ( c_Empty ) ) ) ) ) ) ) ) = 74.52/11.87 ( X5 ) ) ) => 74.52/11.87 ( ( ![X4:( ( ( ( $i > $i ) > $i > $i ) > $i > $i > $i ) > $i > 74.52/11.87 $i > $i ), 74.52/11.87 X5:( ( ( $i > $i ) > $i ) > $i ),X6:( $i > $i ), 74.52/11.87 X7:( $i > ( ( $i > $i ) > $i ) > ( $i > $i ) > $i > $i )]: 74.52/11.87 ( ( X1 @ 74.52/11.87 ( ^[X8:( $i > ( ( $i > $i ) > $i > $i ) > $i > $i ), 74.52/11.87 X9:$i,X10:$i,X11:( $i > $i ),X12:$i]: 74.52/11.87 ( c_setsum @ 74.52/11.87 ( X2 @ 74.52/11.87 ( ^[X13:( $i > ( ( $i > $i ) > $i > $i ) > $i > $i > 74.52/11.87 $i )]: 74.52/11.87 ( c_setsum @ 74.52/11.87 ( c_Inj1 @ c_Empty ) @ 74.52/11.87 ( X2 @ 74.52/11.87 ( ^[X14:( $i > ( ( $i > $i ) > $i > $i ) > 74.52/11.87 $i > $i > $i )]: 74.52/11.87 ( c_Empty ) ) @ 74.52/11.87 ( ^[X14:$i,X15:( ( $i > $i ) > $i ), 74.52/11.87 X16:( $i > $i )]: 74.52/11.87 ( c_Empty ) ) @ 74.52/11.87 c_Empty ) ) ) @ 74.52/11.87 ( ^[X13:$i,X14:( ( $i > $i ) > $i ), 74.52/11.87 X15:( $i > $i )]: 74.52/11.87 ( X2 @ 74.52/11.87 ( ^[X16:( $i > ( ( $i > $i ) > $i > $i ) > 74.52/11.87 $i > $i > $i )]: 74.52/11.87 ( X14 @ ( ^[X17:$i]: ( c_Empty ) ) ) ) @ 74.52/11.87 ( ^[X16:$i,X17:( ( $i > $i ) > $i ), 74.52/11.87 X18:( $i > $i )]: 74.52/11.87 ( X2 @ 74.52/11.87 ( ^[X19:( $i > 74.52/11.87 ( ( $i > $i ) > $i > $i ) > 74.52/11.87 $i > $i > $i )]: 74.52/11.87 ( c_Empty ) ) @ 74.52/11.87 ( ^[X19:$i,X20:( ( $i > $i ) > $i ), 74.52/11.87 X21:( $i > $i )]: 74.52/11.87 ( c_Empty ) ) @ 74.52/11.87 c_Empty ) ) @ 74.52/11.87 ( X14 @ ( ^[X16:$i]: ( c_Empty ) ) ) ) ) @ 74.52/11.87 ( c_Inj0 @ ( X11 @ c_Empty ) ) ) @ 74.52/11.87 X9 ) ) @ 74.52/11.87 ( ^[X8:( $i > ( $i > $i ) > $i )]: 74.52/11.87 ( X8 @ c_Empty @ ( ^[X9:$i]: ( c_Empty ) ) ) ) ) = 74.52/11.87 ( X4 @ 74.52/11.87 ( ^[X8:( ( $i > $i ) > $i > $i ),X9:$i,X10:$i]: 74.52/11.87 ( X1 @ 74.52/11.87 ( ^[X11:( $i > ( ( $i > $i ) > $i > $i ) > $i > $i ), 74.52/11.87 X12:$i,X13:$i,X14:( $i > $i ),X15:$i]: 74.52/11.87 ( c_setsum @ 74.52/11.87 ( c_Inj1 @ c_Empty ) @ 74.52/11.87 ( X3 @ 74.52/11.87 ( ^[X16:( ( ( $i > $i > $i ) > $i > $i ) > $i ), 74.52/11.87 X17:( $i > $i > $i )]: 74.52/11.87 ( X2 @ 74.52/11.87 ( ^[X18:( $i > 74.52/11.87 ( ( $i > $i ) > $i > $i ) > 74.52/11.87 $i > $i > $i )]: 74.52/11.87 ( c_Empty ) ) @ 74.52/11.87 ( ^[X18:$i,X19:( ( $i > $i ) > $i ), 74.52/11.87 X20:( $i > $i )]: 74.52/11.87 ( c_Empty ) ) @ 74.52/11.87 c_Empty ) ) @ 74.52/11.87 ( c_Inj1 @ c_Empty ) ) ) ) @ 74.52/11.87 ( ^[X11:( $i > ( $i > $i ) > $i )]: 74.52/11.87 ( X3 @ 74.52/11.87 ( ^[X12:( ( ( $i > $i > $i ) > $i > $i ) > $i ), 74.52/11.87 X13:( $i > $i > $i )]: 74.52/11.87 ( c_setsum @ 74.52/11.87 ( X12 @ 74.52/11.87 ( ^[X14:( $i > $i > $i ),X15:$i]: 74.52/11.87 ( c_Empty ) ) ) @ 74.52/11.87 ( c_setsum @ c_Empty @ c_Empty ) ) ) @ 74.52/11.87 ( c_setsum @ 74.52/11.87 ( c_Inj1 @ c_Empty ) @ ( c_Inj1 @ c_Empty ) ) ) ) ) ) @ 74.52/11.87 ( X3 @ 74.52/11.87 ( ^[X8:( ( ( $i > $i > $i ) > $i > $i ) > $i ), 74.52/11.87 X9:( $i > $i > $i )]: 74.52/11.87 ( X0 @ 74.52/11.87 ( ^[X10:$i]: 74.52/11.87 ( X8 @ 74.52/11.87 ( ^[X11:( $i > $i > $i ),X12:$i]: 74.52/11.87 ( X1 @ 74.52/11.87 ( ^[X13:( $i > 74.52/11.87 ( ( $i > $i ) > $i > $i ) > $i > 74.52/11.87 $i ), 74.52/11.87 X14:$i,X15:$i,X16:( $i > $i ),X17:$i]: 74.52/11.87 ( c_Empty ) ) @ 74.52/11.87 ( ^[X13:( $i > ( $i > $i ) > $i )]: 74.52/11.87 ( c_Empty ) ) ) ) ) ) @ 74.52/11.87 ( ^[X10:$i,X11:$i,X12:( $i > $i )]: 74.52/11.87 ( X0 @ 74.52/11.87 ( ^[X13:$i]: 74.52/11.87 ( X0 @ 74.52/11.87 ( ^[X14:$i]: ( c_Empty ) ) @ 74.52/11.87 ( ^[X14:$i,X15:$i,X16:( $i > $i )]: 74.52/11.87 ( c_Empty ) ) ) ) @ 74.52/11.87 ( ^[X13:$i,X14:$i,X15:( $i > $i )]: 74.52/11.87 ( c_setsum @ c_Empty @ c_Empty ) ) ) ) ) ) @ 74.52/11.87 ( c_setsum @ 74.52/11.87 ( c_Inj1 @ c_Empty ) @ 74.52/11.87 ( X6 @ 74.52/11.87 ( X7 @ 74.52/11.87 c_Empty @ ( ^[X8:( $i > $i )]: ( c_Empty ) ) @ 74.52/11.87 ( ^[X8:$i]: ( c_Empty ) ) @ c_Empty ) ) ) ) @ 74.52/11.87 ( X5 @ 74.52/11.87 ( ^[X8:( $i > $i )]: ( c_setsum @ c_Empty @ c_Empty ) ) ) ) ) ) => 74.52/11.87 ( ( ![X4:$i,X5:( $i > $i ), 74.52/11.87 X6:( $i > ( ( $i > $i ) > $i ) > $i ), 74.52/11.87 X7:( ( $i > ( $i > $i ) > $i ) > $i > ( $i > $i ) > $i )]: 74.52/11.87 ( ( X0 @ 74.52/11.87 ( ^[X8:$i]: 74.52/11.87 ( X3 @ 74.52/11.87 ( ^[X9:( ( ( $i > $i > $i ) > $i > $i ) > $i ), 74.52/11.87 X10:( $i > $i > $i )]: 74.52/11.87 ( c_Empty ) ) @ 74.52/11.87 ( c_setsum @ 74.52/11.87 c_Empty @ 74.52/11.87 ( c_Inj0 @ 74.52/11.87 ( X2 @ 74.52/11.87 ( ^[X9:( $i > ( ( $i > $i ) > $i > $i ) > 74.52/11.87 $i > $i > $i )]: 74.52/11.87 ( c_Empty ) ) @ 74.52/11.87 ( ^[X9:$i,X10:( ( $i > $i ) > $i ), 74.52/11.87 X11:( $i > $i )]: 74.52/11.87 ( c_Empty ) ) @ 74.52/11.87 c_Empty ) ) ) ) ) @ 74.52/11.87 ( ^[X8:$i,X9:$i,X10:( $i > $i )]: 74.52/11.87 ( X2 @ 74.52/11.87 ( ^[X11:( $i > ( ( $i > $i ) > $i > $i ) > $i > $i > 74.52/11.87 $i )]: 74.52/11.87 ( c_Empty ) ) @ 74.52/11.87 ( ^[X11:$i,X12:( ( $i > $i ) > $i ), 74.52/11.87 X13:( $i > $i )]: 74.52/11.87 ( c_setsum @ 74.52/11.87 ( X2 @ 74.52/11.87 ( ^[X14:( $i > ( ( $i > $i ) > $i > $i ) > 74.52/11.87 $i > $i > $i )]: 74.52/11.87 ( c_Empty ) ) @ 74.52/11.87 ( ^[X14:$i,X15:( ( $i > $i ) > $i ), 74.52/11.87 X16:( $i > $i )]: 74.52/11.87 ( c_Empty ) ) @ 74.52/11.87 ( X12 @ ( ^[X14:$i]: ( c_Empty ) ) ) ) @ 74.52/11.87 ( c_Inj1 @ 74.52/11.87 ( X1 @ 74.52/11.87 ( ^[X14:( $i > 74.52/11.87 ( ( $i > $i ) > $i > $i ) > $i > 74.52/11.87 $i ), 74.52/11.87 X15:$i,X16:$i,X17:( $i > $i ),X18:$i]: 74.52/11.87 ( c_Empty ) ) @ 74.52/11.87 ( ^[X14:( $i > ( $i > $i ) > $i )]: 74.52/11.87 ( c_Empty ) ) ) ) ) ) @ 74.52/11.87 c_Empty ) ) ) = 74.52/11.87 ( X2 @ 74.52/11.87 ( ^[X8:( $i > ( ( $i > $i ) > $i > $i ) > $i > $i > $i )]: 74.52/11.87 ( c_setsum @ 74.52/11.87 ( X8 @ 74.52/11.87 c_Empty @ 74.52/11.87 ( ^[X9:( $i > $i ),X10:$i]: 74.52/11.87 ( c_Inj1 @ ( c_Inj0 @ c_Empty ) ) ) @ 74.52/11.87 ( c_setsum @ 74.52/11.87 c_Empty @ 74.52/11.87 ( X3 @ 74.52/11.87 ( ^[X9:( ( ( $i > $i > $i ) > $i > $i ) > $i ), 74.52/11.87 X10:( $i > $i > $i )]: 74.52/11.87 ( c_Empty ) ) @ 74.52/11.87 c_Empty ) ) @ 74.52/11.87 ( c_Inj0 @ ( c_Inj0 @ c_Empty ) ) ) @ 74.52/11.87 ( X1 @ 74.52/11.87 ( ^[X9:( $i > ( ( $i > $i ) > $i > $i ) > $i > 74.52/11.87 $i ), 74.52/11.87 X10:$i,X11:$i,X12:( $i > $i ),X13:$i]: 74.52/11.87 ( c_Inj0 @ c_Empty ) ) @ 74.52/11.87 ( ^[X9:( $i > ( $i > $i ) > $i )]: 74.52/11.87 ( c_Inj1 @ 74.52/11.87 ( X3 @ 74.52/11.87 ( ^[X10:( ( ( $i > $i > $i ) > $i > $i ) > 74.52/11.87 $i ), 74.52/11.87 X11:( $i > $i > $i )]: 74.52/11.87 ( c_Empty ) ) @ 74.52/11.87 c_Empty ) ) ) ) ) ) @ 74.52/11.87 ( ^[X8:$i,X9:( ( $i > $i ) > $i ),X10:( $i > $i )]: 74.52/11.87 ( c_setsum @ 74.52/11.87 ( X2 @ 74.52/11.87 ( ^[X11:( $i > ( ( $i > $i ) > $i > $i ) > $i > 74.52/11.87 $i > $i )]: 74.52/11.87 ( c_Empty ) ) @ 74.52/11.87 ( ^[X11:$i,X12:( ( $i > $i ) > $i ), 74.52/11.87 X13:( $i > $i )]: 74.52/11.87 ( c_Inj1 @ 74.52/11.87 ( X2 @ 74.52/11.87 ( ^[X14:( $i > 74.52/11.87 ( ( $i > $i ) > $i > $i ) > 74.52/11.87 $i > $i > $i )]: 74.52/11.87 ( c_Empty ) ) @ 74.52/11.87 ( ^[X14:$i,X15:( ( $i > $i ) > $i ), 74.52/11.87 X16:( $i > $i )]: 74.52/11.87 ( c_Empty ) ) @ 74.52/11.87 c_Empty ) ) ) @ 74.52/11.87 ( X7 @ 74.52/11.87 ( ^[X11:$i,X12:( $i > $i )]: 74.52/11.87 ( c_setsum @ c_Empty @ c_Empty ) ) @ 74.52/11.87 ( X2 @ 74.52/11.87 ( ^[X11:( $i > ( ( $i > $i ) > $i > $i ) > 74.52/11.87 $i > $i > $i )]: 74.52/11.87 ( c_Empty ) ) @ 74.52/11.87 ( ^[X11:$i,X12:( ( $i > $i ) > $i ), 74.52/11.87 X13:( $i > $i )]: 74.52/11.87 ( c_Empty ) ) @ 74.52/11.87 c_Empty ) @ 74.52/11.87 ( ^[X11:$i]: ( X8 ) ) ) ) @ 74.52/11.87 ( X9 @ 74.52/11.87 ( ^[X11:$i]: 74.52/11.87 ( c_Inj1 @ 74.52/11.87 ( X0 @ 74.52/11.87 ( ^[X12:$i]: ( c_Empty ) ) @ 74.52/11.87 ( ^[X12:$i,X13:$i,X14:( $i > $i )]: 74.52/11.87 ( c_Empty ) ) ) ) ) ) ) ) @ 74.52/11.87 ( X2 @ 74.52/11.87 ( ^[X8:( $i > ( ( $i > $i ) > $i > $i ) > $i > $i > 74.52/11.87 $i )]: 74.52/11.87 ( X5 @ ( X5 @ ( c_setsum @ c_Empty @ c_Empty ) ) ) ) @ 74.52/11.87 ( ^[X8:$i,X9:( ( $i > $i ) > $i ),X10:( $i > $i )]: 74.52/11.87 ( c_Empty ) ) @ 74.52/11.87 ( c_setsum @ c_Empty @ c_Empty ) ) ) ) ) => 74.52/11.87 ( ( ![X4:$i,X5:$i,X6:$i,X7:$i]: 74.52/11.87 ( ( X0 @ 74.52/11.87 ( ^[X8:$i]: ( X8 ) ) @ 74.52/11.87 ( ^[X8:$i,X9:$i,X10:( $i > $i )]: 74.52/11.87 ( c_setsum @ 74.52/11.87 ( c_Inj0 @ c_Empty ) @ ( c_Inj0 @ c_Empty ) ) ) ) = 74.52/11.87 ( c_Inj0 @ c_Empty ) ) ) => 74.52/11.87 ( c_False ) ) ) ) ) ) ) ) ))). 74.52/11.87 thf(zf_stmt_0, negated_conjecture, 74.52/11.87 (~( ![X0:( ( $i > $i ) > ( $i > $i > ( $i > $i ) > $i ) > $i ), 74.52/11.87 X1:( ( ( $i > ( ( $i > $i ) > $i > $i ) > $i > $i ) > $i > $i > 74.52/11.87 ( $i > $i ) > $i > $i ) > 74.52/11.87 ( ( $i > ( $i > $i ) > $i ) > $i ) > $i ), 74.52/11.87 X2:( ( ( $i > ( ( $i > $i ) > $i > $i ) > $i > $i > $i ) > $i ) > 74.52/11.87 ( $i > ( ( $i > $i ) > $i ) > ( $i > $i ) > $i ) > $i > $i ), 74.52/11.87 X3:( ( ( ( ( $i > $i > $i ) > $i > $i ) > $i ) > ( $i > $i > $i ) > 74.52/11.87 $i ) > 74.52/11.87 $i > $i )]: 74.52/11.87 ( ( ![X4:$i,X5:$i,X6:$i,X7:( ( $i > $i ) > $i )]: 74.52/11.87 ( ( X3 @ 74.52/11.87 ( ^[X8:( ( ( $i > $i > $i ) > $i > $i ) > $i ), 74.52/11.87 X9:( $i > $i > $i )]: 74.52/11.87 ( X2 @ 74.52/11.87 ( ^[X10:( $i > ( ( $i > $i ) > $i > $i ) > $i > $i > $i )]: 74.52/11.87 ( c_Empty ) ) @ 74.52/11.87 ( ^[X10:$i,X11:( ( $i > $i ) > $i ),X12:( $i > $i )]: 74.52/11.87 ( c_setsum @ 74.52/11.87 ( c_Inj1 @ ( c_Inj0 @ c_Empty ) ) @ 74.52/11.87 ( X9 @ ( c_Inj1 @ c_Empty ) @ ( c_Inj0 @ c_Empty ) ) ) ) @ 74.52/11.87 ( X0 @ 74.52/11.87 ( ^[X10:$i]: ( X10 ) ) @ 74.52/11.87 ( ^[X10:$i,X11:$i,X12:( $i > $i )]: 74.52/11.87 ( c_setsum @ 74.52/11.87 ( X1 @ 74.52/11.87 ( ^[X13:( $i > ( ( $i > $i ) > $i > $i ) > $i > $i ), 74.52/11.87 X14:$i,X15:$i,X16:( $i > $i ),X17:$i]: 74.52/11.87 ( c_Empty ) ) @ 74.52/11.87 ( ^[X13:( $i > ( $i > $i ) > $i )]: ( c_Empty ) ) ) @ 74.52/11.87 ( c_setsum @ c_Empty @ c_Empty ) ) ) ) ) ) @ 74.52/11.87 ( X2 @ 74.52/11.87 ( ^[X8:( $i > ( ( $i > $i ) > $i > $i ) > $i > $i > $i )]: 74.52/11.87 ( c_setsum @ 74.52/11.87 ( X3 @ 74.52/11.87 ( ^[X9:( ( ( $i > $i > $i ) > $i > $i ) > $i ), 74.52/11.87 X10:( $i > $i > $i )]: 74.52/11.87 ( c_Empty ) ) @ 74.52/11.87 X5 ) @ 74.52/11.87 ( X2 @ 74.52/11.87 ( ^[X9:( $i > ( ( $i > $i ) > $i > $i ) > $i > $i > $i )]: 74.52/11.87 ( X7 @ ( ^[X10:$i]: ( c_Empty ) ) ) ) @ 74.52/11.87 ( ^[X9:$i,X10:( ( $i > $i ) > $i ),X11:( $i > $i )]: 74.52/11.87 ( c_setsum @ c_Empty @ c_Empty ) ) @ 74.52/11.87 ( X0 @ 74.52/11.87 ( ^[X9:$i]: ( c_Empty ) ) @ 74.52/11.87 ( ^[X9:$i,X10:$i,X11:( $i > $i )]: ( c_Empty ) ) ) ) ) ) @ 74.52/11.87 ( ^[X8:$i,X9:( ( $i > $i ) > $i ),X10:( $i > $i )]: ( X8 ) ) @ 74.52/11.87 X4 ) ) = 74.52/11.87 ( c_setsum @ X5 @ X4 ) ) ) => 74.52/11.87 ( ( ![X4:( ( $i > ( $i > $i ) > $i ) > $i ),X5:$i,X6:$i,X7:$i]: 74.52/11.87 ( ( X3 @ 74.52/11.87 ( ^[X8:( ( ( $i > $i > $i ) > $i > $i ) > $i ), 74.52/11.87 X9:( $i > $i > $i )]: 74.52/11.87 ( c_Empty ) ) @ 74.52/11.87 c_Empty ) = 74.52/11.87 ( c_setsum @ 74.52/11.87 c_Empty @ ( X4 @ ( ^[X8:$i,X9:( $i > $i )]: ( c_Empty ) ) ) ) ) ) => 74.52/11.87 ( ( ![X4:( $i > ( $i > $i ) > ( $i > $i ) > $i > $i ), 74.52/11.87 X5:( $i > $i > ( $i > $i ) > $i ),X6:$i,X7:( $i > $i )]: 74.52/11.87 ( ( X2 @ 74.52/11.87 ( ^[X8:( $i > ( ( $i > $i ) > $i > $i ) > $i > $i > $i )]: 74.52/11.87 ( X0 @ 74.52/11.87 ( ^[X9:$i]: ( c_Empty ) ) @ 74.52/11.87 ( ^[X9:$i,X10:$i,X11:( $i > $i )]: 74.52/11.87 ( c_Inj0 @ 74.52/11.87 ( c_Inj0 @ ( c_setsum @ c_Empty @ c_Empty ) ) ) ) ) ) @ 74.52/11.87 ( ^[X8:$i,X9:( ( $i > $i ) > $i ),X10:( $i > $i )]: 74.52/11.87 ( c_setsum @ 74.52/11.87 ( X0 @ 74.52/11.87 ( ^[X11:$i]: 74.52/11.87 ( c_setsum @ 74.52/11.87 X11 @ 74.52/11.87 ( X1 @ 74.52/11.87 ( ^[X12:( $i > ( ( $i > $i ) > $i > $i ) > $i > 74.52/11.87 $i ), 74.52/11.87 X13:$i,X14:$i,X15:( $i > $i ),X16:$i]: 74.52/11.87 ( c_Empty ) ) @ 74.52/11.87 ( ^[X12:( $i > ( $i > $i ) > $i )]: ( c_Empty ) ) ) ) ) @ 74.52/11.87 ( ^[X11:$i,X12:$i,X13:( $i > $i )]: 74.52/11.87 ( c_setsum @ 74.52/11.87 ( c_setsum @ c_Empty @ c_Empty ) @ 74.52/11.87 ( c_Inj1 @ c_Empty ) ) ) ) @ 74.52/11.87 ( c_setsum @ 74.52/11.87 c_Empty @ 74.52/11.87 ( c_setsum @ 74.52/11.87 ( c_setsum @ c_Empty @ c_Empty ) @ 74.52/11.87 ( X3 @ 74.52/11.87 ( ^[X11:( ( ( $i > $i > $i ) > $i > $i ) > $i ), 74.52/11.87 X12:( $i > $i > $i )]: 74.52/11.87 ( c_Empty ) ) @ 74.52/11.87 c_Empty ) ) ) ) ) @ 74.52/11.87 ( X4 @ 74.52/11.87 ( X3 @ 74.52/11.87 ( ^[X8:( ( ( $i > $i > $i ) > $i > $i ) > $i ), 74.52/11.87 X9:( $i > $i > $i )]: 74.52/11.87 ( c_Empty ) ) @ 74.52/11.87 ( c_setsum @ ( c_Inj0 @ c_Empty ) @ c_Empty ) ) @ 74.52/11.87 ( ^[X8:$i]: ( c_setsum @ c_Empty @ ( c_Inj0 @ c_Empty ) ) ) @ 74.52/11.87 ( ^[X8:$i]: 74.52/11.87 ( c_setsum @ 74.52/11.87 c_Empty @ 74.52/11.87 ( c_setsum @ 74.52/11.87 c_Empty @ 74.52/11.87 ( X5 @ 74.52/11.87 c_Empty @ c_Empty @ ( ^[X9:$i]: ( c_Empty ) ) ) ) ) ) @ 74.52/11.87 ( X1 @ 74.52/11.87 ( ^[X8:( $i > ( ( $i > $i ) > $i > $i ) > $i > $i ), 74.52/11.87 X9:$i,X10:$i,X11:( $i > $i ),X12:$i]: 74.52/11.87 ( c_Empty ) ) @ 74.52/11.87 ( ^[X8:( $i > ( $i > $i ) > $i )]: ( c_Empty ) ) ) ) ) = 74.52/11.87 ( X0 @ 74.52/11.87 ( ^[X8:$i]: 74.52/11.87 ( X0 @ 74.52/11.87 ( ^[X9:$i]: ( c_Empty ) ) @ 74.52/11.87 ( ^[X9:$i,X10:$i,X11:( $i > $i )]: 74.52/11.87 ( c_setsum @ 74.52/11.87 ( X1 @ 74.52/11.87 ( ^[X12:( $i > ( ( $i > $i ) > $i > $i ) > $i > 74.52/11.87 $i ), 74.52/11.87 X13:$i,X14:$i,X15:( $i > $i ),X16:$i]: 74.52/11.87 ( c_Empty ) ) @ 74.52/11.87 ( ^[X12:( $i > ( $i > $i ) > $i )]: ( c_Empty ) ) ) @ 74.52/11.87 ( c_Inj1 @ X10 ) ) ) ) ) @ 74.52/11.87 ( ^[X8:$i,X9:$i,X10:( $i > $i )]: 74.52/11.87 ( c_setsum @ 74.52/11.87 ( X7 @ 74.52/11.87 ( c_setsum @ 74.52/11.87 X9 @ 74.52/11.87 ( X1 @ 74.52/11.87 ( ^[X11:( $i > ( ( $i > $i ) > $i > $i ) > $i > 74.52/11.87 $i ), 74.52/11.87 X12:$i,X13:$i,X14:( $i > $i ),X15:$i]: 74.52/11.87 ( c_Empty ) ) @ 74.52/11.87 ( ^[X11:( $i > ( $i > $i ) > $i )]: ( c_Empty ) ) ) ) ) @ 74.52/11.87 c_Empty ) ) ) ) ) => 74.52/11.87 ( ( ![X4:( ( $i > ( $i > $i ) > $i > $i ) > ( ( $i > $i ) > $i ) > 74.52/11.87 $i ), 74.52/11.87 X5:$i,X6:$i,X7:$i]: 74.52/11.87 ( ( X2 @ 74.52/11.87 ( ^[X8:( $i > ( ( $i > $i ) > $i > $i ) > $i > $i > $i )]: 74.52/11.87 ( c_setsum @ 74.52/11.87 c_Empty @ 74.52/11.87 ( c_setsum @ 74.52/11.87 ( c_setsum @ 74.52/11.87 ( X2 @ 74.52/11.87 ( ^[X9:( $i > ( ( $i > $i ) > $i > $i ) > $i > 74.52/11.87 $i > $i )]: 74.52/11.87 ( c_Empty ) ) @ 74.52/11.87 ( ^[X9:$i,X10:( ( $i > $i ) > $i ), 74.52/11.87 X11:( $i > $i )]: 74.52/11.87 ( c_Empty ) ) @ 74.52/11.87 c_Empty ) @ 74.52/11.87 ( X3 @ 74.52/11.87 ( ^[X9:( ( ( $i > $i > $i ) > $i > $i ) > $i ), 74.52/11.87 X10:( $i > $i > $i )]: 74.52/11.87 ( c_Empty ) ) @ 74.52/11.87 c_Empty ) ) @ 74.52/11.87 c_Empty ) ) ) @ 74.52/11.87 ( ^[X8:$i,X9:( ( $i > $i ) > $i ),X10:( $i > $i )]: 74.52/11.87 ( c_setsum @ 74.52/11.87 ( c_setsum @ c_Empty @ X7 ) @ 74.52/11.87 ( X1 @ 74.52/11.87 ( ^[X11:( $i > ( ( $i > $i ) > $i > $i ) > $i > $i ), 74.52/11.87 X12:$i,X13:$i,X14:( $i > $i ),X15:$i]: 74.52/11.87 ( X3 @ 74.52/11.87 ( ^[X16:( ( ( $i > $i > $i ) > $i > $i ) > $i ), 74.52/11.87 X17:( $i > $i > $i )]: 74.52/11.87 ( X14 @ c_Empty ) ) @ 74.52/11.87 X12 ) ) @ 74.52/11.87 ( ^[X11:( $i > ( $i > $i ) > $i )]: 74.52/11.87 ( c_Inj1 @ 74.52/11.87 ( X1 @ 74.52/11.87 ( ^[X12:( $i > ( ( $i > $i ) > $i > $i ) > $i > 74.52/11.87 $i ), 74.52/11.87 X13:$i,X14:$i,X15:( $i > $i ),X16:$i]: 74.52/11.87 ( c_Empty ) ) @ 74.52/11.87 ( ^[X12:( $i > ( $i > $i ) > $i )]: 74.52/11.87 ( c_Empty ) ) ) ) ) ) ) ) @ 74.52/11.87 c_Empty ) = 74.52/11.87 ( X4 @ 74.52/11.87 ( ^[X8:$i,X9:( $i > $i ),X10:$i]: 74.52/11.87 ( X3 @ 74.52/11.87 ( ^[X11:( ( ( $i > $i > $i ) > $i > $i ) > $i ), 74.52/11.87 X12:( $i > $i > $i )]: 74.52/11.87 ( X12 @ 74.52/11.87 ( X1 @ 74.52/11.87 ( ^[X13:( $i > ( ( $i > $i ) > $i > $i ) > $i > 74.52/11.87 $i ), 74.52/11.87 X14:$i,X15:$i,X16:( $i > $i ),X17:$i]: 74.52/11.87 ( X2 @ 74.52/11.87 ( ^[X18:( $i > ( ( $i > $i ) > $i > $i ) > 74.52/11.87 $i > $i > $i )]: 74.52/11.87 ( c_Empty ) ) @ 74.52/11.87 ( ^[X18:$i,X19:( ( $i > $i ) > $i ), 74.52/11.87 X20:( $i > $i )]: 74.52/11.87 ( c_Empty ) ) @ 74.52/11.87 c_Empty ) ) @ 74.52/11.87 ( ^[X13:( $i > ( $i > $i ) > $i )]: ( c_Empty ) ) ) @ 74.52/11.87 ( c_Inj0 @ c_Empty ) ) ) @ 74.52/11.87 ( X9 @ c_Empty ) ) ) @ 74.52/11.87 ( ^[X8:( $i > $i )]: ( c_Empty ) ) ) ) ) => 74.52/11.87 ( ( ![X4:( ( $i > $i > $i > $i ) > $i ),X5:$i,X6:$i, 74.52/11.87 X7:( ( $i > $i > $i > $i ) > $i )]: 74.52/11.87 ( ( X1 @ 74.52/11.87 ( ^[X8:( $i > ( ( $i > $i ) > $i > $i ) > $i > $i ), 74.52/11.87 X9:$i,X10:$i,X11:( $i > $i ),X12:$i]: 74.52/11.87 ( X9 ) ) @ 74.52/11.87 ( ^[X8:( $i > ( $i > $i ) > $i )]: 74.52/11.87 ( c_setsum @ 74.52/11.87 c_Empty @ 74.52/11.87 ( c_setsum @ 74.52/11.87 ( X7 @ 74.52/11.87 ( ^[X9:$i,X10:$i,X11:$i]: 74.52/11.87 ( X8 @ c_Empty @ ( ^[X12:$i]: ( c_Empty ) ) ) ) ) @ 74.52/11.87 ( c_setsum @ 74.52/11.87 ( c_setsum @ c_Empty @ c_Empty ) @ 74.52/11.87 ( X8 @ c_Empty @ ( ^[X9:$i]: ( c_Empty ) ) ) ) ) ) ) ) = 74.52/11.87 ( X5 ) ) ) => 74.52/11.87 ( ( ![X4:( ( ( ( $i > $i ) > $i > $i ) > $i > $i > $i ) > 74.52/11.87 $i > $i > $i ), 74.52/11.87 X5:( ( ( $i > $i ) > $i ) > $i ),X6:( $i > $i ), 74.52/11.87 X7:( $i > ( ( $i > $i ) > $i ) > ( $i > $i ) > $i > $i )]: 74.52/11.87 ( ( X1 @ 74.52/11.87 ( ^[X8:( $i > ( ( $i > $i ) > $i > $i ) > $i > $i ), 74.52/11.87 X9:$i,X10:$i,X11:( $i > $i ),X12:$i]: 74.52/11.87 ( c_setsum @ 74.52/11.87 ( X2 @ 74.52/11.87 ( ^[X13:( $i > ( ( $i > $i ) > $i > $i ) > 74.52/11.87 $i > $i > $i )]: 74.52/11.87 ( c_setsum @ 74.52/11.87 ( c_Inj1 @ c_Empty ) @ 74.52/11.87 ( X2 @ 74.52/11.87 ( ^[X14:( $i > 74.52/11.87 ( ( $i > $i ) > $i > $i ) > 74.52/11.87 $i > $i > $i )]: 74.52/11.87 ( c_Empty ) ) @ 74.52/11.87 ( ^[X14:$i,X15:( ( $i > $i ) > $i ), 74.52/11.87 X16:( $i > $i )]: 74.52/11.87 ( c_Empty ) ) @ 74.52/11.87 c_Empty ) ) ) @ 74.52/11.87 ( ^[X13:$i,X14:( ( $i > $i ) > $i ), 74.52/11.87 X15:( $i > $i )]: 74.52/11.87 ( X2 @ 74.52/11.87 ( ^[X16:( $i > ( ( $i > $i ) > $i > $i ) > 74.52/11.87 $i > $i > $i )]: 74.52/11.87 ( X14 @ ( ^[X17:$i]: ( c_Empty ) ) ) ) @ 74.52/11.87 ( ^[X16:$i,X17:( ( $i > $i ) > $i ), 74.52/11.87 X18:( $i > $i )]: 74.52/11.87 ( X2 @ 74.52/11.87 ( ^[X19:( $i > 74.52/11.87 ( ( $i > $i ) > $i > $i ) > 74.52/11.87 $i > $i > $i )]: 74.52/11.87 ( c_Empty ) ) @ 74.52/11.87 ( ^[X19:$i,X20:( ( $i > $i ) > $i ), 74.52/11.87 X21:( $i > $i )]: 74.52/11.87 ( c_Empty ) ) @ 74.52/11.87 c_Empty ) ) @ 74.52/11.87 ( X14 @ ( ^[X16:$i]: ( c_Empty ) ) ) ) ) @ 74.52/11.87 ( c_Inj0 @ ( X11 @ c_Empty ) ) ) @ 74.52/11.87 X9 ) ) @ 74.52/11.87 ( ^[X8:( $i > ( $i > $i ) > $i )]: 74.52/11.87 ( X8 @ c_Empty @ ( ^[X9:$i]: ( c_Empty ) ) ) ) ) = 74.52/11.87 ( X4 @ 74.52/11.87 ( ^[X8:( ( $i > $i ) > $i > $i ),X9:$i,X10:$i]: 74.52/11.87 ( X1 @ 74.52/11.87 ( ^[X11:( $i > ( ( $i > $i ) > $i > $i ) > $i > 74.52/11.87 $i ), 74.52/11.87 X12:$i,X13:$i,X14:( $i > $i ),X15:$i]: 74.52/11.87 ( c_setsum @ 74.52/11.87 ( c_Inj1 @ c_Empty ) @ 74.52/11.87 ( X3 @ 74.52/11.87 ( ^[X16:( ( ( $i > $i > $i ) > $i > $i ) > 74.52/11.87 $i ), 74.52/11.87 X17:( $i > $i > $i )]: 74.52/11.87 ( X2 @ 74.52/11.87 ( ^[X18:( $i > 74.52/11.87 ( ( $i > $i ) > $i > $i ) > 74.52/11.87 $i > $i > $i )]: 74.52/11.87 ( c_Empty ) ) @ 74.52/11.87 ( ^[X18:$i,X19:( ( $i > $i ) > $i ), 74.52/11.87 X20:( $i > $i )]: 74.52/11.87 ( c_Empty ) ) @ 74.52/11.87 c_Empty ) ) @ 74.52/11.87 ( c_Inj1 @ c_Empty ) ) ) ) @ 74.52/11.87 ( ^[X11:( $i > ( $i > $i ) > $i )]: 74.52/11.87 ( X3 @ 74.52/11.87 ( ^[X12:( ( ( $i > $i > $i ) > $i > $i ) > $i ), 74.52/11.87 X13:( $i > $i > $i )]: 74.52/11.87 ( c_setsum @ 74.52/11.87 ( X12 @ 74.52/11.87 ( ^[X14:( $i > $i > $i ),X15:$i]: 74.52/11.87 ( c_Empty ) ) ) @ 74.52/11.87 ( c_setsum @ c_Empty @ c_Empty ) ) ) @ 74.52/11.87 ( c_setsum @ 74.52/11.87 ( c_Inj1 @ c_Empty ) @ ( c_Inj1 @ c_Empty ) ) ) ) ) ) @ 74.52/11.87 ( X3 @ 74.52/11.87 ( ^[X8:( ( ( $i > $i > $i ) > $i > $i ) > $i ), 74.52/11.87 X9:( $i > $i > $i )]: 74.52/11.87 ( X0 @ 74.52/11.87 ( ^[X10:$i]: 74.52/11.87 ( X8 @ 74.52/11.87 ( ^[X11:( $i > $i > $i ),X12:$i]: 74.52/11.87 ( X1 @ 74.52/11.87 ( ^[X13:( $i > 74.52/11.87 ( ( $i > $i ) > $i > $i ) > 74.52/11.87 $i > $i ), 74.52/11.87 X14:$i,X15:$i,X16:( $i > $i ), 74.52/11.87 X17:$i]: 74.52/11.87 ( c_Empty ) ) @ 74.52/11.87 ( ^[X13:( $i > ( $i > $i ) > $i )]: 74.52/11.87 ( c_Empty ) ) ) ) ) ) @ 74.52/11.87 ( ^[X10:$i,X11:$i,X12:( $i > $i )]: 74.52/11.87 ( X0 @ 74.52/11.87 ( ^[X13:$i]: 74.52/11.87 ( X0 @ 74.52/11.87 ( ^[X14:$i]: ( c_Empty ) ) @ 74.52/11.87 ( ^[X14:$i,X15:$i,X16:( $i > $i )]: 74.52/11.87 ( c_Empty ) ) ) ) @ 74.52/11.87 ( ^[X13:$i,X14:$i,X15:( $i > $i )]: 74.52/11.87 ( c_setsum @ c_Empty @ c_Empty ) ) ) ) ) ) @ 74.52/11.87 ( c_setsum @ 74.52/11.87 ( c_Inj1 @ c_Empty ) @ 74.52/11.87 ( X6 @ 74.52/11.87 ( X7 @ 74.52/11.87 c_Empty @ 74.52/11.87 ( ^[X8:( $i > $i )]: ( c_Empty ) ) @ 74.52/11.87 ( ^[X8:$i]: ( c_Empty ) ) @ c_Empty ) ) ) ) @ 74.52/11.87 ( X5 @ 74.52/11.87 ( ^[X8:( $i > $i )]: 74.52/11.87 ( c_setsum @ c_Empty @ c_Empty ) ) ) ) ) ) => 74.52/11.87 ( ( ![X4:$i,X5:( $i > $i ), 74.52/11.87 X6:( $i > ( ( $i > $i ) > $i ) > $i ), 74.52/11.87 X7:( ( $i > ( $i > $i ) > $i ) > $i > ( $i > $i ) > 74.52/11.87 $i )]: 74.52/11.87 ( ( X0 @ 74.52/11.87 ( ^[X8:$i]: 74.52/11.87 ( X3 @ 74.52/11.87 ( ^[X9:( ( ( $i > $i > $i ) > $i > $i ) > $i ), 74.52/11.87 X10:( $i > $i > $i )]: 74.52/11.87 ( c_Empty ) ) @ 74.52/11.87 ( c_setsum @ 74.52/11.87 c_Empty @ 74.52/11.87 ( c_Inj0 @ 74.52/11.87 ( X2 @ 74.52/11.87 ( ^[X9:( $i > 74.52/11.87 ( ( $i > $i ) > $i > $i ) > 74.52/11.87 $i > $i > $i )]: 74.52/11.87 ( c_Empty ) ) @ 74.52/11.87 ( ^[X9:$i,X10:( ( $i > $i ) > $i ), 74.52/11.87 X11:( $i > $i )]: 74.52/11.87 ( c_Empty ) ) @ 74.52/11.87 c_Empty ) ) ) ) ) @ 74.52/11.87 ( ^[X8:$i,X9:$i,X10:( $i > $i )]: 74.52/11.87 ( X2 @ 74.52/11.87 ( ^[X11:( $i > ( ( $i > $i ) > $i > $i ) > 74.52/11.87 $i > $i > $i )]: 74.52/11.87 ( c_Empty ) ) @ 74.52/11.87 ( ^[X11:$i,X12:( ( $i > $i ) > $i ), 74.52/11.87 X13:( $i > $i )]: 74.52/11.87 ( c_setsum @ 74.52/11.87 ( X2 @ 74.52/11.87 ( ^[X14:( $i > 74.52/11.87 ( ( $i > $i ) > $i > $i ) > 74.52/11.87 $i > $i > $i )]: 74.52/11.87 ( c_Empty ) ) @ 74.52/11.87 ( ^[X14:$i,X15:( ( $i > $i ) > $i ), 74.52/11.87 X16:( $i > $i )]: 74.52/11.87 ( c_Empty ) ) @ 74.52/11.87 ( X12 @ ( ^[X14:$i]: ( c_Empty ) ) ) ) @ 74.52/11.87 ( c_Inj1 @ 74.52/11.87 ( X1 @ 74.52/11.87 ( ^[X14:( $i > 74.52/11.87 ( ( $i > $i ) > $i > $i ) > 74.52/11.87 $i > $i ), 74.52/11.87 X15:$i,X16:$i,X17:( $i > $i ), 74.52/11.87 X18:$i]: 74.52/11.87 ( c_Empty ) ) @ 74.52/11.87 ( ^[X14:( $i > ( $i > $i ) > $i )]: 74.52/11.87 ( c_Empty ) ) ) ) ) ) @ 74.52/11.87 c_Empty ) ) ) = 74.52/11.88 ( X2 @ 74.52/11.88 ( ^[X8:( $i > ( ( $i > $i ) > $i > $i ) > $i > $i > 74.52/11.88 $i )]: 74.52/11.88 ( c_setsum @ 74.52/11.88 ( X8 @ 74.52/11.88 c_Empty @ 74.52/11.88 ( ^[X9:( $i > $i ),X10:$i]: 74.52/11.88 ( c_Inj1 @ ( c_Inj0 @ c_Empty ) ) ) @ 74.52/11.88 ( c_setsum @ 74.52/11.88 c_Empty @ 74.52/11.88 ( X3 @ 74.52/11.88 ( ^[X9:( ( ( $i > $i > $i ) > $i > $i ) > 74.52/11.88 $i ), 74.52/11.88 X10:( $i > $i > $i )]: 74.52/11.88 ( c_Empty ) ) @ 74.52/11.88 c_Empty ) ) @ 74.52/11.88 ( c_Inj0 @ ( c_Inj0 @ c_Empty ) ) ) @ 74.52/11.88 ( X1 @ 74.52/11.88 ( ^[X9:( $i > ( ( $i > $i ) > $i > $i ) > $i > 74.52/11.88 $i ), 74.52/11.88 X10:$i,X11:$i,X12:( $i > $i ),X13:$i]: 74.52/11.88 ( c_Inj0 @ c_Empty ) ) @ 74.52/11.88 ( ^[X9:( $i > ( $i > $i ) > $i )]: 74.52/11.88 ( c_Inj1 @ 74.52/11.88 ( X3 @ 74.52/11.88 ( ^[X10:( ( ( $i > $i > $i ) > $i > $i ) > 74.52/11.88 $i ), 74.52/11.88 X11:( $i > $i > $i )]: 74.52/11.88 ( c_Empty ) ) @ 74.52/11.88 c_Empty ) ) ) ) ) ) @ 74.52/11.88 ( ^[X8:$i,X9:( ( $i > $i ) > $i ),X10:( $i > $i )]: 74.52/11.88 ( c_setsum @ 74.52/11.88 ( X2 @ 74.52/11.88 ( ^[X11:( $i > ( ( $i > $i ) > $i > $i ) > 74.52/11.88 $i > $i > $i )]: 74.52/11.88 ( c_Empty ) ) @ 74.52/11.88 ( ^[X11:$i,X12:( ( $i > $i ) > $i ), 74.52/11.88 X13:( $i > $i )]: 74.52/11.88 ( c_Inj1 @ 74.52/11.88 ( X2 @ 74.52/11.88 ( ^[X14:( $i > 74.52/11.88 ( ( $i > $i ) > $i > $i ) > 74.52/11.88 $i > $i > $i )]: 74.52/11.88 ( c_Empty ) ) @ 74.52/11.88 ( ^[X14:$i,X15:( ( $i > $i ) > $i ), 74.52/11.88 X16:( $i > $i )]: 74.52/11.88 ( c_Empty ) ) @ 74.52/11.88 c_Empty ) ) ) @ 74.52/11.88 ( X7 @ 74.52/11.88 ( ^[X11:$i,X12:( $i > $i )]: 74.52/11.88 ( c_setsum @ c_Empty @ c_Empty ) ) @ 74.52/11.88 ( X2 @ 74.52/11.88 ( ^[X11:( $i > 74.52/11.88 ( ( $i > $i ) > $i > $i ) > 74.52/11.88 $i > $i > $i )]: 74.52/11.88 ( c_Empty ) ) @ 74.52/11.88 ( ^[X11:$i,X12:( ( $i > $i ) > $i ), 74.52/11.88 X13:( $i > $i )]: 74.52/11.88 ( c_Empty ) ) @ 74.52/11.88 c_Empty ) @ 74.52/11.88 ( ^[X11:$i]: ( X8 ) ) ) ) @ 74.52/11.88 ( X9 @ 74.52/11.88 ( ^[X11:$i]: 74.52/11.88 ( c_Inj1 @ 74.52/11.88 ( X0 @ 74.52/11.88 ( ^[X12:$i]: ( c_Empty ) ) @ 74.52/11.88 ( ^[X12:$i,X13:$i,X14:( $i > $i )]: 74.52/11.88 ( c_Empty ) ) ) ) ) ) ) ) @ 74.52/11.88 ( X2 @ 74.52/11.88 ( ^[X8:( $i > ( ( $i > $i ) > $i > $i ) > $i > $i > 74.52/11.88 $i )]: 74.52/11.88 ( X5 @ 74.52/11.88 ( X5 @ ( c_setsum @ c_Empty @ c_Empty ) ) ) ) @ 74.52/11.88 ( ^[X8:$i,X9:( ( $i > $i ) > $i ),X10:( $i > $i )]: 74.52/11.88 ( c_Empty ) ) @ 74.52/11.88 ( c_setsum @ c_Empty @ c_Empty ) ) ) ) ) => 74.52/11.88 ( ( ![X4:$i,X5:$i,X6:$i,X7:$i]: 74.52/11.88 ( ( X0 @ 74.52/11.88 ( ^[X8:$i]: ( X8 ) ) @ 74.52/11.88 ( ^[X8:$i,X9:$i,X10:( $i > $i )]: 74.52/11.88 ( c_setsum @ 74.52/11.88 ( c_Inj0 @ c_Empty ) @ ( c_Inj0 @ c_Empty ) ) ) ) = 74.52/11.88 ( c_Inj0 @ c_Empty ) ) ) => 74.52/11.88 ( c_False ) ) ) ) ) ) ) ) ) )), 74.52/11.88 inference('cnf.neg', [status(esa)], [conj])). 74.52/11.88 thf(zip_derived_cl226, plain, 74.52/11.88 (![X15 : $i, X16 : ($i > $i > $i > $i) > $i]: 74.52/11.88 ((sk__65 @ 74.52/11.88 (^[Y0 : $i > (($i > $i) > $i > $i) > $i > $i,Y1 : $i,Y2 : $i, 74.52/11.88 Y3 : $i > $i,Y4 : $i]: 74.52/11.88 (Y1)) @ 74.52/11.88 (^[Y0 : $i > ($i > $i) > $i]: 74.52/11.88 (c_setsum @ c_Empty @ 74.52/11.88 (c_setsum @ 74.52/11.88 (X16 @ 74.52/11.88 (^[Y1 : $i,Y2 : $i,Y3 : $i]: 74.52/11.88 (Y0 @ c_Empty @ (^[Y4 : $i]: (c_Empty))))) @ 74.52/11.88 (c_setsum @ (c_setsum @ c_Empty @ c_Empty) @ 74.52/11.88 (Y0 @ c_Empty @ (^[Y1 : $i]: (c_Empty)))))))) 74.52/11.88 = (X15))), 74.52/11.88 inference('cnf', [status(esa)], [zf_stmt_0])). 74.52/11.88 thf(ax83, axiom, 74.52/11.88 (![X0:$i,X1:$i]: 74.52/11.88 ( ( c_setexp @ X0 @ X1 ) = ( c_Pi @ X1 @ ( ^[X2:$i]: ( X0 ) ) ) ))). 74.52/11.88 thf(zip_derived_cl3, plain, 74.52/11.88 (![X0 : $i, X1 : $i]: 74.52/11.88 ((c_setexp @ X1 @ X0) = (c_Pi @ X0 @ (^[Y0 : $i]: (X1))))), 74.52/11.88 inference('cnf', [status(esa)], [ax83])). 74.52/11.88 thf(zip_derived_cl11525, plain, 74.52/11.88 (![X1 : $i, X2 : $i]: (('#l_lift12426' @ X1 @ X2) = (X1))), 74.52/11.88 define([status(thm)])). 74.52/11.88 thf(zip_derived_cl11525, plain, 74.52/11.88 (![X1 : $i, X2 : $i]: (('#l_lift12426' @ X1 @ X2) = (X1))), 74.52/11.88 define([status(thm)])). 74.52/11.88 thf(zip_derived_cl226, plain, 74.52/11.88 (![X15 : $i, X16 : ($i > $i > $i > $i) > $i]: 74.52/11.88 ((sk__65 @ 74.52/11.88 (^[Y0 : $i > (($i > $i) > $i > $i) > $i > $i,Y1 : $i,Y2 : $i, 74.52/11.88 Y3 : $i > $i,Y4 : $i]: 74.52/11.88 (Y1)) @ 74.52/11.88 (^[Y0 : $i > ($i > $i) > $i]: 74.52/11.88 (c_setsum @ c_Empty @ 74.52/11.88 (c_setsum @ 74.52/11.88 (X16 @ 74.52/11.88 (^[Y1 : $i,Y2 : $i,Y3 : $i]: 74.52/11.88 (Y0 @ c_Empty @ (^[Y4 : $i]: (c_Empty))))) @ 74.52/11.88 (c_setsum @ (c_setsum @ c_Empty @ c_Empty) @ 74.52/11.88 (Y0 @ c_Empty @ (^[Y1 : $i]: (c_Empty)))))))) 74.52/11.88 = (X15))), 74.52/11.88 inference('cnf', [status(esa)], [zf_stmt_0])). 74.52/11.88 thf(zip_derived_cl11605, plain, 74.52/11.88 (![X17 : $i > (($i > $i) > $i > $i) > $i > $i, X18 : $i, X19 : $i, 74.52/11.88 X20 : $i > $i, X21 : $i]: 74.52/11.88 (('#l_lift12455' @ X17 @ X18 @ X19 @ X20 @ X21) = (X18))), 74.52/11.88 define([status(thm)])). 74.52/11.88 thf(zip_derived_cl226, plain, 74.52/11.88 (![X15 : $i, X16 : ($i > $i > $i > $i) > $i]: 74.52/11.88 ((sk__65 @ 74.52/11.88 (^[Y0 : $i > (($i > $i) > $i > $i) > $i > $i,Y1 : $i,Y2 : $i, 74.52/11.88 Y3 : $i > $i,Y4 : $i]: 74.52/11.88 (Y1)) @ 74.52/11.88 (^[Y0 : $i > ($i > $i) > $i]: 74.52/11.88 (c_setsum @ c_Empty @ 74.52/11.88 (c_setsum @ 74.52/11.88 (X16 @ 74.52/11.88 (^[Y1 : $i,Y2 : $i,Y3 : $i]: 74.52/11.88 (Y0 @ c_Empty @ (^[Y4 : $i]: (c_Empty))))) @ 74.52/11.88 (c_setsum @ (c_setsum @ c_Empty @ c_Empty) @ 74.52/11.88 (Y0 @ c_Empty @ (^[Y1 : $i]: (c_Empty)))))))) 74.52/11.88 = (X15))), 74.52/11.88 inference('cnf', [status(esa)], [zf_stmt_0])). 74.52/11.88 thf(zip_derived_cl11607, plain, 74.52/11.88 (![X16 : ($i > $i > $i > $i) > $i, X26 : $i > ($i > $i) > $i]: 74.52/11.88 (('#l_lift12457' @ X16 @ X26) 74.52/11.88 = (c_setsum @ c_Empty @ 74.52/11.88 (c_setsum @ (X16 @ ('#l_lift12456' @ X26)) @ 74.52/11.88 (c_setsum @ (c_setsum @ c_Empty @ c_Empty) @ 74.52/11.88 (X26 @ c_Empty @ ('#l_lift12426' @ c_Empty))))))), 74.52/11.88 define([status(thm)])). 74.52/11.88 thf(zip_derived_cl226, plain, 74.52/11.88 (![X15 : $i, X16 : ($i > $i > $i > $i) > $i]: 74.52/11.88 ((sk__65 @ 74.52/11.88 (^[Y0 : $i > (($i > $i) > $i > $i) > $i > $i,Y1 : $i,Y2 : $i, 74.52/11.88 Y3 : $i > $i,Y4 : $i]: 74.52/11.88 (Y1)) @ 74.52/11.88 (^[Y0 : $i > ($i > $i) > $i]: 74.52/11.88 (c_setsum @ c_Empty @ 74.52/11.88 (c_setsum @ 74.52/11.88 (X16 @ 74.52/11.88 (^[Y1 : $i,Y2 : $i,Y3 : $i]: 74.52/11.88 (Y0 @ c_Empty @ (^[Y4 : $i]: (c_Empty))))) @ 74.52/11.88 (c_setsum @ (c_setsum @ c_Empty @ c_Empty) @ 74.52/11.88 (Y0 @ c_Empty @ (^[Y1 : $i]: (c_Empty)))))))) 74.52/11.88 = (X15))), 74.52/11.88 inference('cnf', [status(esa)], [zf_stmt_0])). 74.52/11.88 thf(zip_derived_cl11606, plain, 74.52/11.88 (![X22 : $i > ($i > $i) > $i, X23 : $i, X24 : $i, X25 : $i]: 74.52/11.88 (('#l_lift12456' @ X22 @ X23 @ X24 @ X25) 74.52/11.88 = (X22 @ c_Empty @ ('#l_lift12426' @ c_Empty)))), 74.52/11.88 define([status(thm)])). 74.52/11.88 thf(zip_derived_cl11608, plain, 74.52/11.88 (![X15 : $i, X16 : ($i > $i > $i > $i) > $i]: 74.52/11.88 ((sk__65 @ '#l_lift12455' @ ('#l_lift12457' @ X16)) = (X15))), 74.52/11.88 inference('lambda_lifting', [status(thm)], 74.52/11.88 [zip_derived_cl226, zip_derived_cl11525, zip_derived_cl11525, 74.52/11.88 zip_derived_cl11605, zip_derived_cl11607, zip_derived_cl11606])). 74.52/11.88 thf(ax5, axiom, (c_not @ ( ?[X0:$i]: ( c_In @ X0 @ c_Empty ) ))). 74.52/11.88 thf(zip_derived_cl6, plain, 74.52/11.88 ( (c_not @ (((??) @ (^[Y0 : $i]: (c_In @ Y0 @ c_Empty)))))), 74.52/11.88 inference('cnf', [status(esa)], [ax5])). 74.52/11.88 thf(ax13, axiom, 74.52/11.88 (![X0:$o]: ( ( c_not @ X0 ) <=> ( ( X0 ) => ( c_False ) ) ))). 74.52/11.88 thf(zip_derived_cl23, plain, 74.52/11.88 (![X0 : $o]: (~ (X0) | (c_False) | ~ (c_not @ X0))), 74.52/11.88 inference('cnf', [status(esa)], [ax13])). 74.52/11.88 thf(zip_derived_cl227, plain, (~ (c_False)), 74.52/11.88 inference('cnf', [status(esa)], [zf_stmt_0])). 74.52/11.88 thf(zip_derived_cl231, plain, (![X0 : $o]: (~ (c_not @ X0) | ~ (X0))), 74.52/11.88 inference('clc', [status(thm)], [zip_derived_cl23, zip_derived_cl227])). 74.52/11.88 thf(zip_derived_cl646, plain, 74.52/11.88 (~ (((??) @ (^[Y0 : $i]: (c_In @ Y0 @ c_Empty))))), 74.52/11.88 inference('sup-', [status(thm)], [zip_derived_cl6, zip_derived_cl231])). 74.52/11.88 thf(zip_derived_cl654, plain, (![X0 : $i]: ~ (c_In @ X0 @ c_Empty)), 74.52/11.88 inference('cnf_otf', [status(thm)], [zip_derived_cl646])). 74.52/11.88 thf(ax3, axiom, 74.52/11.88 (![X0:$o,X1:$o]: ( ( c_iff @ X0 @ X1 ) => ( ( X0 ) <=> ( X1 ) ) ))). 74.52/11.88 thf(zip_derived_cl104, plain, 74.52/11.88 (![X0 : $o, X1 : $o]: (~ (X0) | (X1) | ~ (c_iff @ X1 @ X0))), 74.52/11.88 inference('cnf', [status(esa)], [ax3])). 74.52/11.88 thf(zip_derived_cl11664, plain, ($false), 74.52/11.88 inference('eprover', [status(thm)], 74.52/11.88 [zip_derived_cl62, zip_derived_cl199, zip_derived_cl11608, 74.52/11.88 zip_derived_cl654, zip_derived_cl104])). 74.52/11.88 74.52/11.88 % SZS output end Refutation 74.52/11.88 74.52/11.88 74.52/11.88 % Terminating... 75.36/12.02 % Runner terminated. 75.36/12.02 % Zipperpin 1.5 exiting 75.36/12.02 EOF