0.00/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.12/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.rwXJEAKFOe true 0.15/0.35 % Computer : n012.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 : 1200 0.15/0.35 % WCLimit : 120 0.15/0.35 % DateTime : Tue Jul 13 13:46:16 EDT 2021 0.15/0.35 % CPUTime : 0.15/0.35 % Running portfolio for 120 s 0.15/0.36 % File : /export/starexec/sandbox/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 0.60/0.69 % Total configuration time : 828 0.60/0.69 % Estimated wc time : 983 0.60/0.69 % Estimated cpu time (8 cpus) : 122.875 0.60/0.76 % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 47s 0.60/0.79 % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 47s 0.60/0.79 % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 47s 0.60/0.79 % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 18s 0.60/0.80 % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 53s 0.60/0.80 % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 41s 0.60/0.81 % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 24s 0.61/0.84 % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 35s 5.14/1.30 % /export/starexec/sandbox/solver/bin/lams/30_b.l.sh running for 53s 14.95/2.55 % /export/starexec/sandbox/solver/bin/lams/35_full_unif.sh running for 33s 88.26/11.83 % Solved by lams/40_noforms.sh. 88.26/11.83 % running E: timeout 44 /export/starexec/sandbox/solver/bin/lams/eprover-ho --pos-ext=all --neg-ext=all /export/starexec/sandbox/tmp/tmp.rwXJEAKFOe/e_input0e176c --cpu-limit=42 --auto-schedule -s -p 88.26/11.83 % done 1011 iterations in 10.948s 88.26/11.83 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p' 88.26/11.83 % SZS output start Refutation 88.26/11.83 thf(c_not_type, type, c_not: $o > $o). 88.26/11.83 thf('#l_lift18386_type', type, '#l_lift18386': $i > 88.26/11.83 (($i > $i > $i > $i) > $i) > 88.26/11.83 $i > $i). 88.26/11.83 thf(sk__65_type, type, sk__65: ($i > $i) > $i > $i). 88.26/11.83 thf('#l_lift18389_type', type, '#l_lift18389': $i > 88.26/11.83 (($i > $i > $i > $i) > $i) > 88.26/11.83 $i > $i). 88.26/11.83 thf(c_In_type, type, c_In: $i > $i > $o). 88.26/11.83 thf(c_setexp_type, type, c_setexp: $i > $i > $i). 88.26/11.83 thf('#l_lift18385_type', type, '#l_lift18385': (($i > $i > $i > $i) > $i) > 88.26/11.83 $i > $i). 88.26/11.83 thf('#l_lift18377_type', type, '#l_lift18377': (($i > $i > $i > $i) > $i) > 88.26/11.83 $i > $i). 88.26/11.83 thf(sk__66_type, type, sk__66: ((($i > $i > $i > $i) > $i) > $i > $i) > $i > $i). 88.26/11.83 thf('#l_lift18355_type', type, '#l_lift18355': $i > $i > $i). 88.26/11.83 thf(c_False_type, type, c_False: $o). 88.26/11.83 thf(c_Subq_type, type, c_Subq: $i > $i > $o). 88.26/11.83 thf(c_iff_type, type, c_iff: $o > $o > $o). 88.26/11.83 thf('#l_lift18375_type', type, '#l_lift18375': $i > $i > $i > $i). 88.26/11.83 thf(c_Pi_type, type, c_Pi: $i > ($i > $i) > $i). 88.26/11.83 thf(sk__64_type, type, sk__64: ($i > $i > $i > $i) > ($i > $i) > 88.26/11.83 (($i > $i > $i) > $i) > $i). 88.26/11.83 thf('#l_lift18382_type', type, '#l_lift18382': $i > $i > $i). 88.26/11.83 thf(c_Inj0_type, type, c_Inj0: $i > $i). 88.26/11.83 thf(c_Inj1_type, type, c_Inj1: $i > $i). 88.26/11.83 thf(c_setsum_type, type, c_setsum: $i > $i > $i). 88.26/11.83 thf(c_Empty_type, type, c_Empty: $i). 88.26/11.83 thf('#l_lift18379_type', type, '#l_lift18379': ($i > $i) > 88.26/11.83 (($i > $i > $i > $i) > $i) > 88.26/11.83 $i > $i). 88.26/11.83 thf('#l_lift18376_type', type, '#l_lift18376': ($i > $i > $i) > $i). 88.26/11.83 thf(sk__13_type, type, sk__13: $i > $i > $i). 88.26/11.83 thf('#l_lift18387_type', type, '#l_lift18387': (($i > $i > $i > $i) > $i) > 88.26/11.83 $i > $i). 88.26/11.83 thf('#l_lift18378_type', type, '#l_lift18378': $i > $i > $i > $i). 88.26/11.83 thf('#l_lift18391_type', type, '#l_lift18391': $i > $i > $i > $i). 88.26/11.83 thf('#l_lift18390_type', type, '#l_lift18390': $i > $i > $i). 88.26/11.83 thf(sk__67_type, type, sk__67: ($i > $i) > ($i > $i) > $i). 88.26/11.83 thf('#l_lift18374_type', type, '#l_lift18374': ($i > $i > $i) > $i). 88.26/11.83 thf(c_Power_type, type, c_Power: $i > $i). 88.26/11.83 thf('#l_lift18371_type', type, '#l_lift18371': (($i > $i > $i > $i) > $i) > 88.26/11.83 $i > $i). 88.26/11.83 thf(ax17, axiom, 88.26/11.83 (![X0:$i,X1:$i]: 88.26/11.83 ( ( c_Subq @ X0 @ X1 ) <=> 88.26/11.83 ( ![X2:$i]: ( ( c_In @ X2 @ X0 ) => ( c_In @ X2 @ X1 ) ) ) ))). 88.26/11.83 thf(zip_derived_cl56, plain, 88.26/11.83 (![X0 : $i, X1 : $i]: 88.26/11.83 ( (c_Subq @ X0 @ X1) | (c_In @ (sk__13 @ X1 @ X0) @ X0))), 88.26/11.83 inference('cnf', [status(esa)], [ax17])). 88.26/11.83 thf(ax7, axiom, 88.26/11.83 (![X0:$i,X1:$i]: 88.26/11.83 ( c_iff @ ( c_In @ X1 @ ( c_Power @ X0 ) ) @ ( c_Subq @ X1 @ X0 ) ))). 88.26/11.83 thf(zip_derived_cl129, plain, 88.26/11.83 (![X0 : $i, X1 : $i]: 88.26/11.83 (c_iff @ (c_In @ X0 @ (c_Power @ X1)) @ (c_Subq @ X0 @ X1))), 88.26/11.83 inference('cnf', [status(esa)], [ax7])). 88.26/11.83 thf(ax3, axiom, 88.26/11.83 (![X0:$o,X1:$o]: ( ( c_iff @ X0 @ X1 ) => ( ( X0 ) <=> ( X1 ) ) ))). 88.26/11.83 thf(zip_derived_cl13, plain, 88.26/11.83 (![X0 : $o, X1 : $o]: (~ (X0) | (X1) | ~ (c_iff @ X1 @ X0))), 88.26/11.83 inference('cnf', [status(esa)], [ax3])). 88.26/11.83 thf(conj, conjecture, 88.26/11.83 (![X0:( ( $i > $i > $i > $i ) > ( $i > $i ) > ( ( $i > $i > $i ) > $i ) > 88.26/11.83 $i ), 88.26/11.83 X1:( ( $i > $i ) > $i > $i ), 88.26/11.83 X2:( ( ( ( $i > $i > $i > $i ) > $i ) > $i > $i ) > $i > $i ), 88.26/11.83 X3:( ( $i > $i ) > ( $i > $i ) > $i )]: 88.26/11.83 ( ( ![X4:( $i > ( ( $i > $i ) > $i ) > $i ),X5:( ( $i > $i ) > $i ), 88.26/11.83 X6:( ( ( $i > $i > $i ) > ( $i > $i ) > $i ) > $i ),X7:$i]: 88.26/11.83 ( ( X3 @ 88.26/11.83 ( ^[X8:$i]: ( c_Inj1 @ c_Empty ) ) @ 88.26/11.83 ( ^[X8:$i]: ( c_setsum @ c_Empty @ c_Empty ) ) ) = 88.26/11.83 ( c_Inj1 @ c_Empty ) ) ) => 88.26/11.83 ( ( ![X4:$i,X5:$i,X6:$i,X7:$i]: 88.26/11.83 ( ( X3 @ ( ^[X8:$i]: ( X6 ) ) @ ( ^[X8:$i]: ( X7 ) ) ) = 88.26/11.83 ( c_setsum @ 88.26/11.83 ( X2 @ 88.26/11.83 ( ^[X8:( ( $i > $i > $i > $i ) > $i ),X9:$i]: ( c_Empty ) ) @ 88.26/11.83 ( X0 @ 88.26/11.83 ( ^[X8:$i,X9:$i,X10:$i]: 88.26/11.83 ( X3 @ ( ^[X11:$i]: ( X10 ) ) @ ( ^[X11:$i]: ( c_Empty ) ) ) ) @ 88.26/11.83 ( ^[X8:$i]: ( c_Empty ) ) @ 88.26/11.83 ( ^[X8:( $i > $i > $i )]: ( c_Empty ) ) ) ) @ 88.26/11.83 c_Empty ) ) ) => 88.26/11.83 ( ( ![X4:( $i > $i ),X5:( $i > $i > $i ),X6:( $i > $i ),X7:$i]: 88.26/11.83 ( ( X2 @ 88.26/11.83 ( ^[X8:( ( $i > $i > $i > $i ) > $i ),X9:$i]: ( X7 ) ) @ 88.26/11.83 c_Empty ) = 88.26/11.83 ( X7 ) ) ) => 88.26/11.83 ( ( ![X4:( $i > ( $i > $i > $i ) > $i ),X5:( $i > $i ), 88.26/11.83 X6:( ( ( ( $i > $i ) > $i ) > $i ) > $i ),X7:( $i > $i )]: 88.26/11.83 ( ( X2 @ 88.26/11.83 ( ^[X8:( ( $i > $i > $i > $i ) > $i ),X9:$i]: 88.26/11.83 ( X7 @ 88.26/11.83 ( X2 @ 88.26/11.83 ( ^[X10:( ( $i > $i > $i > $i ) > $i ),X11:$i]: 88.26/11.83 ( X0 @ 88.26/11.83 ( ^[X12:$i,X13:$i,X14:$i]: ( c_Inj1 @ c_Empty ) ) @ 88.26/11.83 ( ^[X12:$i]: ( c_Inj0 @ c_Empty ) ) @ 88.26/11.83 ( ^[X12:( $i > $i > $i )]: 88.26/11.83 ( X3 @ 88.26/11.83 ( ^[X13:$i]: ( c_Empty ) ) @ 88.26/11.83 ( ^[X13:$i]: ( c_Empty ) ) ) ) ) ) @ 88.26/11.83 ( c_Inj0 @ 88.26/11.83 ( X0 @ 88.26/11.83 ( ^[X10:$i,X11:$i,X12:$i]: ( c_Empty ) ) @ 88.26/11.83 ( ^[X10:$i]: ( c_Empty ) ) @ 88.26/11.83 ( ^[X10:( $i > $i > $i )]: ( c_Empty ) ) ) ) ) ) ) @ 88.26/11.83 ( X3 @ 88.26/11.83 ( ^[X8:$i]: ( c_setsum @ X8 @ c_Empty ) ) @ 88.26/11.83 ( ^[X8:$i]: ( c_Empty ) ) ) ) = 88.26/11.83 ( c_setsum @ 88.26/11.83 ( X7 @ 88.26/11.83 ( X5 @ 88.26/11.83 ( X0 @ 88.26/11.83 ( ^[X8:$i,X9:$i,X10:$i]: ( c_Inj1 @ c_Empty ) ) @ 88.26/11.83 ( ^[X8:$i]: 88.26/11.83 ( X0 @ 88.26/11.83 ( ^[X9:$i,X10:$i,X11:$i]: ( c_Empty ) ) @ 88.26/11.83 ( ^[X9:$i]: ( c_Empty ) ) @ 88.26/11.83 ( ^[X9:( $i > $i > $i )]: ( c_Empty ) ) ) ) @ 88.26/11.83 ( ^[X8:( $i > $i > $i )]: 88.26/11.83 ( c_setsum @ c_Empty @ c_Empty ) ) ) ) ) @ 88.26/11.83 ( X1 @ 88.26/11.83 ( ^[X8:$i]: ( X7 @ c_Empty ) ) @ 88.26/11.83 ( X5 @ 88.26/11.83 ( X4 @ 88.26/11.83 ( X1 @ ( ^[X8:$i]: ( c_Empty ) ) @ c_Empty ) @ 88.26/11.83 ( ^[X8:$i,X9:$i]: ( c_Empty ) ) ) ) ) ) ) ) => 88.26/11.83 ( ( ![X4:( ( ( $i > $i ) > $i > $i ) > $i ),X5:$i,X6:$i,X7:$i]: 88.26/11.83 ( ( X1 @ 88.26/11.83 ( ^[X8:$i]: 88.26/11.83 ( c_Inj1 @ 88.26/11.83 ( X1 @ 88.26/11.83 ( ^[X9:$i]: 88.26/11.83 ( c_Inj0 @ 88.26/11.83 ( X0 @ 88.26/11.83 ( ^[X10:$i,X11:$i,X12:$i]: ( c_Empty ) ) @ 88.26/11.83 ( ^[X10:$i]: ( c_Empty ) ) @ 88.26/11.83 ( ^[X10:( $i > $i > $i )]: ( c_Empty ) ) ) ) ) @ 88.26/11.83 ( c_Inj1 @ X7 ) ) ) ) @ 88.26/11.83 ( c_Inj0 @ 88.26/11.83 ( X2 @ 88.26/11.83 ( ^[X8:( ( $i > $i > $i > $i ) > $i ),X9:$i]: ( X9 ) ) @ 88.26/11.83 X5 ) ) ) = 88.26/11.83 ( c_Inj0 @ 88.26/11.83 ( X2 @ 88.26/11.83 ( ^[X8:( ( $i > $i > $i > $i ) > $i ),X9:$i]: ( X7 ) ) @ 88.26/11.83 ( c_setsum @ c_Empty @ c_Empty ) ) ) ) ) => 88.26/11.83 ( ( ![X4:( ( ( $i > $i ) > $i ) > $i ), 88.26/11.83 X5:( $i > $i > ( $i > $i ) > $i ),X6:$i, 88.26/11.83 X7:( ( $i > $i ) > ( $i > $i ) > $i )]: 88.26/11.83 ( ( X1 @ 88.26/11.83 ( ^[X8:$i]: 88.26/11.83 ( X7 @ 88.26/11.83 ( ^[X9:$i]: ( c_setsum @ X9 @ X8 ) ) @ 88.26/11.83 ( ^[X9:$i]: ( c_Empty ) ) ) ) @ 88.26/11.83 c_Empty ) = 88.26/11.83 ( X7 @ 88.26/11.83 ( ^[X8:$i]: 88.26/11.83 ( c_setsum @ 88.26/11.83 ( X2 @ 88.26/11.83 ( ^[X9:( ( $i > $i > $i > $i ) > $i ),X10:$i]: 88.26/11.83 ( c_Empty ) ) @ 88.26/11.83 ( X3 @ 88.26/11.83 ( ^[X9:$i]: 88.26/11.83 ( X2 @ 88.26/11.83 ( ^[X10:( ( $i > $i > $i > $i ) > $i ), 88.26/11.83 X11:$i]: 88.26/11.83 ( c_Empty ) ) @ 88.26/11.83 c_Empty ) ) @ 88.26/11.83 ( ^[X9:$i]: 88.26/11.83 ( X1 @ ( ^[X10:$i]: ( c_Empty ) ) @ c_Empty ) ) ) ) @ 88.26/11.83 ( X2 @ 88.26/11.83 ( ^[X9:( ( $i > $i > $i > $i ) > $i ),X10:$i]: 88.26/11.83 ( c_Empty ) ) @ 88.26/11.83 ( X2 @ 88.26/11.83 ( ^[X9:( ( $i > $i > $i > $i ) > $i ),X10:$i]: 88.26/11.83 ( c_setsum @ c_Empty @ c_Empty ) ) @ 88.26/11.83 ( X2 @ 88.26/11.83 ( ^[X9:( ( $i > $i > $i > $i ) > $i ),X10:$i]: 88.26/11.83 ( c_Empty ) ) @ 88.26/11.83 c_Empty ) ) ) ) ) @ 88.26/11.83 ( ^[X8:$i]: 88.26/11.83 ( c_Inj1 @ 88.26/11.83 ( X1 @ 88.26/11.83 ( ^[X9:$i]: 88.26/11.83 ( X7 @ 88.26/11.83 ( ^[X10:$i]: 88.26/11.83 ( X1 @ ( ^[X11:$i]: ( c_Empty ) ) @ c_Empty ) ) @ 88.26/11.83 ( ^[X10:$i]: ( c_Inj1 @ c_Empty ) ) ) ) @ 88.26/11.83 X6 ) ) ) ) ) ) => 88.26/11.83 ( ( ![X4:( $i > ( ( $i > $i ) > $i > $i ) > $i ),X5:$i,X6:$i, 88.26/11.83 X7:$i]: 88.26/11.83 ( ( X0 @ 88.26/11.83 ( ^[X8:$i,X9:$i,X10:$i]: ( X7 ) ) @ 88.26/11.83 ( ^[X8:$i]: ( X6 ) ) @ 88.26/11.83 ( ^[X8:( $i > $i > $i )]: ( c_Empty ) ) ) = 88.26/11.83 ( X6 ) ) ) => 88.26/11.83 ( ( ![X4:$i,X5:$i,X6:( $i > ( $i > $i ) > $i ), 88.26/11.83 X7:( $i > $i )]: 88.26/11.83 ( ( X0 @ 88.26/11.83 ( ^[X8:$i,X9:$i,X10:$i]: 88.26/11.83 ( X1 @ 88.26/11.83 ( ^[X11:$i]: 88.26/11.83 ( X2 @ 88.26/11.83 ( ^[X12:( ( $i > $i > $i > $i ) > $i ), 88.26/11.83 X13:$i]: 88.26/11.83 ( X10 ) ) @ 88.26/11.83 ( X2 @ 88.26/11.83 ( ^[X12:( ( $i > $i > $i > $i ) > $i ), 88.26/11.83 X13:$i]: 88.26/11.83 ( c_setsum @ c_Empty @ c_Empty ) ) @ 88.26/11.83 X11 ) ) ) @ 88.26/11.83 ( c_Inj1 @ c_Empty ) ) ) @ 88.26/11.83 ( ^[X8:$i]: ( X7 @ c_Empty ) ) @ 88.26/11.83 ( ^[X8:( $i > $i > $i )]: ( c_Empty ) ) ) = 88.26/11.83 ( X7 @ X4 ) ) ) => 88.26/11.83 ( c_False ) ) ) ) ) ) ) ) ))). 88.26/11.83 thf(zf_stmt_0, negated_conjecture, 88.26/11.83 (~( ![X0:( ( $i > $i > $i > $i ) > ( $i > $i ) > ( ( $i > $i > $i ) > $i ) > 88.26/11.83 $i ), 88.26/11.83 X1:( ( $i > $i ) > $i > $i ), 88.26/11.83 X2:( ( ( ( $i > $i > $i > $i ) > $i ) > $i > $i ) > $i > $i ), 88.26/11.83 X3:( ( $i > $i ) > ( $i > $i ) > $i )]: 88.26/11.83 ( ( ![X4:( $i > ( ( $i > $i ) > $i ) > $i ),X5:( ( $i > $i ) > $i ), 88.26/11.83 X6:( ( ( $i > $i > $i ) > ( $i > $i ) > $i ) > $i ),X7:$i]: 88.26/11.83 ( ( X3 @ 88.26/11.83 ( ^[X8:$i]: ( c_Inj1 @ c_Empty ) ) @ 88.26/11.83 ( ^[X8:$i]: ( c_setsum @ c_Empty @ c_Empty ) ) ) = 88.26/11.83 ( c_Inj1 @ c_Empty ) ) ) => 88.26/11.83 ( ( ![X4:$i,X5:$i,X6:$i,X7:$i]: 88.26/11.83 ( ( X3 @ ( ^[X8:$i]: ( X6 ) ) @ ( ^[X8:$i]: ( X7 ) ) ) = 88.26/11.83 ( c_setsum @ 88.26/11.83 ( X2 @ 88.26/11.83 ( ^[X8:( ( $i > $i > $i > $i ) > $i ),X9:$i]: ( c_Empty ) ) @ 88.26/11.83 ( X0 @ 88.26/11.83 ( ^[X8:$i,X9:$i,X10:$i]: 88.26/11.83 ( X3 @ 88.26/11.83 ( ^[X11:$i]: ( X10 ) ) @ ( ^[X11:$i]: ( c_Empty ) ) ) ) @ 88.26/11.83 ( ^[X8:$i]: ( c_Empty ) ) @ 88.26/11.83 ( ^[X8:( $i > $i > $i )]: ( c_Empty ) ) ) ) @ 88.26/11.83 c_Empty ) ) ) => 88.26/11.83 ( ( ![X4:( $i > $i ),X5:( $i > $i > $i ),X6:( $i > $i ),X7:$i]: 88.26/11.83 ( ( X2 @ 88.26/11.83 ( ^[X8:( ( $i > $i > $i > $i ) > $i ),X9:$i]: ( X7 ) ) @ 88.26/11.83 c_Empty ) = 88.26/11.83 ( X7 ) ) ) => 88.26/11.83 ( ( ![X4:( $i > ( $i > $i > $i ) > $i ),X5:( $i > $i ), 88.26/11.83 X6:( ( ( ( $i > $i ) > $i ) > $i ) > $i ),X7:( $i > $i )]: 88.26/11.83 ( ( X2 @ 88.26/11.83 ( ^[X8:( ( $i > $i > $i > $i ) > $i ),X9:$i]: 88.26/11.83 ( X7 @ 88.26/11.83 ( X2 @ 88.26/11.83 ( ^[X10:( ( $i > $i > $i > $i ) > $i ),X11:$i]: 88.26/11.83 ( X0 @ 88.26/11.83 ( ^[X12:$i,X13:$i,X14:$i]: ( c_Inj1 @ c_Empty ) ) @ 88.26/11.83 ( ^[X12:$i]: ( c_Inj0 @ c_Empty ) ) @ 88.26/11.83 ( ^[X12:( $i > $i > $i )]: 88.26/11.83 ( X3 @ 88.26/11.83 ( ^[X13:$i]: ( c_Empty ) ) @ 88.26/11.83 ( ^[X13:$i]: ( c_Empty ) ) ) ) ) ) @ 88.26/11.83 ( c_Inj0 @ 88.26/11.83 ( X0 @ 88.26/11.83 ( ^[X10:$i,X11:$i,X12:$i]: ( c_Empty ) ) @ 88.26/11.83 ( ^[X10:$i]: ( c_Empty ) ) @ 88.26/11.83 ( ^[X10:( $i > $i > $i )]: ( c_Empty ) ) ) ) ) ) ) @ 88.26/11.83 ( X3 @ 88.26/11.83 ( ^[X8:$i]: ( c_setsum @ X8 @ c_Empty ) ) @ 88.26/11.83 ( ^[X8:$i]: ( c_Empty ) ) ) ) = 88.26/11.83 ( c_setsum @ 88.26/11.83 ( X7 @ 88.26/11.83 ( X5 @ 88.26/11.83 ( X0 @ 88.26/11.83 ( ^[X8:$i,X9:$i,X10:$i]: ( c_Inj1 @ c_Empty ) ) @ 88.26/11.83 ( ^[X8:$i]: 88.26/11.83 ( X0 @ 88.26/11.83 ( ^[X9:$i,X10:$i,X11:$i]: ( c_Empty ) ) @ 88.26/11.83 ( ^[X9:$i]: ( c_Empty ) ) @ 88.26/11.83 ( ^[X9:( $i > $i > $i )]: ( c_Empty ) ) ) ) @ 88.26/11.83 ( ^[X8:( $i > $i > $i )]: 88.26/11.83 ( c_setsum @ c_Empty @ c_Empty ) ) ) ) ) @ 88.26/11.83 ( X1 @ 88.26/11.83 ( ^[X8:$i]: ( X7 @ c_Empty ) ) @ 88.26/11.83 ( X5 @ 88.26/11.83 ( X4 @ 88.26/11.83 ( X1 @ ( ^[X8:$i]: ( c_Empty ) ) @ c_Empty ) @ 88.26/11.83 ( ^[X8:$i,X9:$i]: ( c_Empty ) ) ) ) ) ) ) ) => 88.26/11.83 ( ( ![X4:( ( ( $i > $i ) > $i > $i ) > $i ),X5:$i,X6:$i,X7:$i]: 88.26/11.83 ( ( X1 @ 88.26/11.83 ( ^[X8:$i]: 88.26/11.83 ( c_Inj1 @ 88.26/11.83 ( X1 @ 88.26/11.83 ( ^[X9:$i]: 88.26/11.83 ( c_Inj0 @ 88.26/11.83 ( X0 @ 88.26/11.83 ( ^[X10:$i,X11:$i,X12:$i]: ( c_Empty ) ) @ 88.26/11.83 ( ^[X10:$i]: ( c_Empty ) ) @ 88.26/11.83 ( ^[X10:( $i > $i > $i )]: ( c_Empty ) ) ) ) ) @ 88.26/11.83 ( c_Inj1 @ X7 ) ) ) ) @ 88.26/11.83 ( c_Inj0 @ 88.26/11.83 ( X2 @ 88.26/11.83 ( ^[X8:( ( $i > $i > $i > $i ) > $i ),X9:$i]: 88.26/11.83 ( X9 ) ) @ 88.26/11.83 X5 ) ) ) = 88.26/11.83 ( c_Inj0 @ 88.26/11.83 ( X2 @ 88.26/11.83 ( ^[X8:( ( $i > $i > $i > $i ) > $i ),X9:$i]: ( X7 ) ) @ 88.26/11.83 ( c_setsum @ c_Empty @ c_Empty ) ) ) ) ) => 88.26/11.83 ( ( ![X4:( ( ( $i > $i ) > $i ) > $i ), 88.26/11.83 X5:( $i > $i > ( $i > $i ) > $i ),X6:$i, 88.26/11.83 X7:( ( $i > $i ) > ( $i > $i ) > $i )]: 88.26/11.83 ( ( X1 @ 88.26/11.83 ( ^[X8:$i]: 88.26/11.83 ( X7 @ 88.26/11.83 ( ^[X9:$i]: ( c_setsum @ X9 @ X8 ) ) @ 88.26/11.83 ( ^[X9:$i]: ( c_Empty ) ) ) ) @ 88.26/11.83 c_Empty ) = 88.26/11.83 ( X7 @ 88.26/11.83 ( ^[X8:$i]: 88.26/11.83 ( c_setsum @ 88.26/11.83 ( X2 @ 88.26/11.83 ( ^[X9:( ( $i > $i > $i > $i ) > $i ),X10:$i]: 88.26/11.83 ( c_Empty ) ) @ 88.26/11.83 ( X3 @ 88.26/11.83 ( ^[X9:$i]: 88.26/11.83 ( X2 @ 88.26/11.83 ( ^[X10:( ( $i > $i > $i > $i ) > $i ), 88.26/11.83 X11:$i]: 88.26/11.83 ( c_Empty ) ) @ 88.26/11.83 c_Empty ) ) @ 88.26/11.83 ( ^[X9:$i]: 88.26/11.83 ( X1 @ ( ^[X10:$i]: ( c_Empty ) ) @ c_Empty ) ) ) ) @ 88.26/11.83 ( X2 @ 88.26/11.83 ( ^[X9:( ( $i > $i > $i > $i ) > $i ),X10:$i]: 88.26/11.83 ( c_Empty ) ) @ 88.26/11.83 ( X2 @ 88.26/11.83 ( ^[X9:( ( $i > $i > $i > $i ) > $i ),X10:$i]: 88.26/11.83 ( c_setsum @ c_Empty @ c_Empty ) ) @ 88.26/11.83 ( X2 @ 88.26/11.83 ( ^[X9:( ( $i > $i > $i > $i ) > $i ), 88.26/11.83 X10:$i]: 88.26/11.83 ( c_Empty ) ) @ 88.26/11.83 c_Empty ) ) ) ) ) @ 88.26/11.83 ( ^[X8:$i]: 88.26/11.83 ( c_Inj1 @ 88.26/11.83 ( X1 @ 88.26/11.83 ( ^[X9:$i]: 88.26/11.83 ( X7 @ 88.26/11.83 ( ^[X10:$i]: 88.26/11.83 ( X1 @ 88.26/11.83 ( ^[X11:$i]: ( c_Empty ) ) @ c_Empty ) ) @ 88.26/11.83 ( ^[X10:$i]: ( c_Inj1 @ c_Empty ) ) ) ) @ 88.26/11.83 X6 ) ) ) ) ) ) => 88.26/11.83 ( ( ![X4:( $i > ( ( $i > $i ) > $i > $i ) > $i ),X5:$i, 88.26/11.83 X6:$i,X7:$i]: 88.26/11.83 ( ( X0 @ 88.26/11.83 ( ^[X8:$i,X9:$i,X10:$i]: ( X7 ) ) @ 88.26/11.83 ( ^[X8:$i]: ( X6 ) ) @ 88.26/11.83 ( ^[X8:( $i > $i > $i )]: ( c_Empty ) ) ) = 88.26/11.83 ( X6 ) ) ) => 88.26/11.83 ( ( ![X4:$i,X5:$i,X6:( $i > ( $i > $i ) > $i ), 88.26/11.83 X7:( $i > $i )]: 88.26/11.83 ( ( X0 @ 88.26/11.83 ( ^[X8:$i,X9:$i,X10:$i]: 88.26/11.83 ( X1 @ 88.26/11.83 ( ^[X11:$i]: 88.26/11.83 ( X2 @ 88.26/11.83 ( ^[X12:( ( $i > $i > $i > $i ) > $i ), 88.26/11.83 X13:$i]: 88.26/11.83 ( X10 ) ) @ 88.26/11.83 ( X2 @ 88.26/11.83 ( ^[X12:( ( $i > $i > $i > $i ) > $i ), 88.26/11.83 X13:$i]: 88.26/11.83 ( c_setsum @ c_Empty @ c_Empty ) ) @ 88.26/11.83 X11 ) ) ) @ 88.26/11.83 ( c_Inj1 @ c_Empty ) ) ) @ 88.26/11.83 ( ^[X8:$i]: ( X7 @ c_Empty ) ) @ 88.26/11.83 ( ^[X8:( $i > $i > $i )]: ( c_Empty ) ) ) = 88.26/11.83 ( X7 @ X4 ) ) ) => 88.26/11.83 ( c_False ) ) ) ) ) ) ) ) ) )), 88.26/11.83 inference('cnf.neg', [status(esa)], [conj])). 88.26/11.83 thf(zip_derived_cl225, plain, 88.26/11.83 (![X8 : $i, X9 : $i]: 88.26/11.83 ((sk__65 @ 88.26/11.83 (^[Y0 : $i]: 88.26/11.83 (c_Inj1 @ 88.26/11.83 (sk__65 @ 88.26/11.83 (^[Y1 : $i]: 88.26/11.83 (c_Inj0 @ 88.26/11.83 (sk__64 @ (^[Y2 : $i,Y3 : $i,Y4 : $i]: (c_Empty)) @ 88.26/11.83 (^[Y2 : $i]: (c_Empty)) @ 88.26/11.83 (^[Y2 : $i > $i > $i]: (c_Empty))))) @ 88.26/11.83 (c_Inj1 @ X8)))) @ 88.26/11.83 (c_Inj0 @ 88.26/11.83 (sk__66 @ (^[Y0 : ($i > $i > $i > $i) > $i,Y1 : $i]: (Y1)) @ X9))) 88.26/11.83 = (c_Inj0 @ 88.26/11.83 (sk__66 @ (^[Y0 : ($i > $i > $i > $i) > $i,Y1 : $i]: (X8)) @ 88.26/11.83 (c_setsum @ c_Empty @ c_Empty))))), 88.26/11.83 inference('cnf', [status(esa)], [zf_stmt_0])). 88.26/11.83 thf(zip_derived_cl20318, plain, 88.26/11.83 (![X10 : ($i > $i > $i > $i) > $i, X11 : $i]: 88.26/11.83 (('#l_lift18387' @ X10 @ X11) = (X11))), 88.26/11.83 define([status(thm)])). 88.26/11.83 thf(ax13, axiom, 88.26/11.83 (![X0:$o]: ( ( c_not @ X0 ) <=> ( ( X0 ) => ( c_False ) ) ))). 88.26/11.83 thf(zip_derived_cl198, plain, 88.26/11.83 (![X0 : $o]: (~ (X0) | (c_False) | ~ (c_not @ X0))), 88.26/11.83 inference('cnf', [status(esa)], [ax13])). 88.26/11.83 thf(zip_derived_cl227, plain, (~ (c_False)), 88.26/11.83 inference('cnf', [status(esa)], [zf_stmt_0])). 88.26/11.83 thf(zip_derived_cl231, plain, (![X0 : $o]: (~ (c_not @ X0) | ~ (X0))), 88.26/11.83 inference('clc', [status(thm)], [zip_derived_cl198, zip_derived_cl227])). 88.26/11.83 thf(zip_derived_cl232, plain, 88.26/11.83 (![X0 : $o]: (~ (c_not @ (((~) @ X0))) | ~ (((~) @ X0)))), 88.26/11.83 inference('ho.refine', [status(thm)], [zip_derived_cl231])). 88.26/11.83 thf(zip_derived_cl235, plain, 88.26/11.83 (![X0 : $o]: (~ (c_not @ ($true)) | ~ (((~) @ X0)))), 88.26/11.83 inference('local_rewriting', [status(thm)], [zip_derived_cl232])). 88.26/11.83 thf(zip_derived_cl236, plain, (![X0 : $o]: (~ (c_not @ ($true)) | (X0))), 88.26/11.83 inference('simplify nested equalities', [status(thm)], 88.26/11.83 [zip_derived_cl235])). 88.26/11.83 thf(ax5, axiom, (c_not @ ( ?[X0:$i]: ( c_In @ X0 @ c_Empty ) ))). 88.26/11.83 thf(zip_derived_cl88, plain, 88.26/11.83 ( (c_not @ (((??) @ (^[Y0 : $i]: (c_In @ Y0 @ c_Empty)))))), 88.26/11.83 inference('cnf', [status(esa)], [ax5])). 88.26/11.83 thf(zip_derived_cl228, plain, 88.26/11.83 (![X12 : $i > $i, X13 : $i]: 88.26/11.83 ((sk__64 @ 88.26/11.83 (^[Y0 : $i,Y1 : $i,Y2 : $i]: 88.26/11.83 (sk__65 @ 88.26/11.83 (^[Y3 : $i]: 88.26/11.83 (sk__66 @ (^[Y4 : ($i > $i > $i > $i) > $i,Y5 : $i]: (Y2)) @ 88.26/11.83 (sk__66 @ 88.26/11.83 (^[Y4 : ($i > $i > $i > $i) > $i,Y5 : $i]: 88.26/11.83 (c_setsum @ c_Empty @ c_Empty)) @ 88.26/11.83 Y3))) @ 88.26/11.83 (c_Inj1 @ c_Empty))) @ 88.26/11.83 (^[Y0 : $i]: (X12 @ c_Empty)) @ (^[Y0 : $i > $i > $i]: (c_Empty))) 88.26/11.83 = (X12 @ X13))), 88.26/11.83 inference('cnf', [status(esa)], [zf_stmt_0])). 88.26/11.83 thf(zip_derived_cl224, plain, 88.26/11.83 (![X7 : $i]: 88.26/11.83 ((sk__66 @ (^[Y0 : ($i > $i > $i > $i) > $i,Y1 : $i]: (X7)) @ c_Empty) 88.26/11.83 = (X7))), 88.26/11.83 inference('cnf', [status(esa)], [zf_stmt_0])). 88.26/11.83 thf(zip_derived_cl20312, plain, 88.26/11.83 (![X7 : $i, X8 : ($i > $i > $i > $i) > $i, X9 : $i]: 88.26/11.83 (('#l_lift18386' @ X7 @ X8 @ X9) = (X7))), 88.26/11.83 define([status(thm)])). 88.26/11.83 thf(ax83, axiom, 88.26/11.83 (![X0:$i,X1:$i]: 88.26/11.83 ( ( c_setexp @ X0 @ X1 ) = ( c_Pi @ X1 @ ( ^[X2:$i]: ( X0 ) ) ) ))). 88.26/11.83 thf(zip_derived_cl85, plain, 88.26/11.83 (![X0 : $i, X1 : $i]: 88.26/11.83 ((c_setexp @ X1 @ X0) = (c_Pi @ X0 @ (^[Y0 : $i]: (X1))))), 88.26/11.83 inference('cnf', [status(esa)], [ax83])). 88.26/11.83 thf(zip_derived_cl20241, plain, 88.26/11.83 (![X1 : $i, X2 : $i]: (('#l_lift18355' @ X1 @ X2) = (X1))), 88.26/11.83 define([status(thm)])). 88.26/11.83 thf(zip_derived_cl220, plain, 88.26/11.83 (![X0 : $i, X1 : $i]: 88.26/11.83 ((sk__67 @ (^[Y0 : $i]: (X0)) @ (^[Y0 : $i]: (X1))) 88.26/11.83 = (c_setsum @ 88.26/11.83 (sk__66 @ 88.26/11.83 (^[Y0 : ($i > $i > $i > $i) > $i,Y1 : $i]: (c_Empty)) @ 88.26/11.83 (sk__64 @ 88.26/11.83 (^[Y0 : $i,Y1 : $i,Y2 : $i]: 88.26/11.83 (sk__67 @ (^[Y3 : $i]: (Y2)) @ (^[Y3 : $i]: (c_Empty)))) @ 88.26/11.83 (^[Y0 : $i]: (c_Empty)) @ (^[Y0 : $i > $i > $i]: (c_Empty)))) @ 88.26/11.83 c_Empty))), 88.26/11.83 inference('cnf', [status(esa)], [zf_stmt_0])). 88.26/11.83 thf(zip_derived_cl20295, plain, 88.26/11.83 (![X9 : $i > $i > $i]: (('#l_lift18374' @ X9) = (c_Empty))), 88.26/11.83 define([status(thm)])). 88.26/11.83 thf(zip_derived_cl228, plain, 88.26/11.83 (![X12 : $i > $i, X13 : $i]: 88.26/11.83 ((sk__64 @ 88.26/11.83 (^[Y0 : $i,Y1 : $i,Y2 : $i]: 88.26/11.83 (sk__65 @ 88.26/11.83 (^[Y3 : $i]: 88.26/11.83 (sk__66 @ (^[Y4 : ($i > $i > $i > $i) > $i,Y5 : $i]: (Y2)) @ 88.26/11.83 (sk__66 @ 88.26/11.83 (^[Y4 : ($i > $i > $i > $i) > $i,Y5 : $i]: 88.26/11.83 (c_setsum @ c_Empty @ c_Empty)) @ 88.26/11.83 Y3))) @ 88.26/11.83 (c_Inj1 @ c_Empty))) @ 88.26/11.83 (^[Y0 : $i]: (X12 @ c_Empty)) @ (^[Y0 : $i > $i > $i]: (c_Empty))) 88.26/11.83 = (X12 @ X13))), 88.26/11.83 inference('cnf', [status(esa)], [zf_stmt_0])). 88.26/11.83 thf(zip_derived_cl20331, plain, 88.26/11.83 (![X19 : $i, X20 : $i, X21 : $i]: 88.26/11.83 (('#l_lift18391' @ X19 @ X20 @ X21) 88.26/11.83 = (sk__65 @ ('#l_lift18390' @ X21) @ (c_Inj1 @ c_Empty)))), 88.26/11.83 define([status(thm)])). 88.26/11.83 thf(zip_derived_cl228, plain, 88.26/11.83 (![X12 : $i > $i, X13 : $i]: 88.26/11.83 ((sk__64 @ 88.26/11.83 (^[Y0 : $i,Y1 : $i,Y2 : $i]: 88.26/11.83 (sk__65 @ 88.26/11.83 (^[Y3 : $i]: 88.26/11.83 (sk__66 @ (^[Y4 : ($i > $i > $i > $i) > $i,Y5 : $i]: (Y2)) @ 88.26/11.83 (sk__66 @ 88.26/11.83 (^[Y4 : ($i > $i > $i > $i) > $i,Y5 : $i]: 88.26/11.83 (c_setsum @ c_Empty @ c_Empty)) @ 88.26/11.83 Y3))) @ 88.26/11.83 (c_Inj1 @ c_Empty))) @ 88.26/11.83 (^[Y0 : $i]: (X12 @ c_Empty)) @ (^[Y0 : $i > $i > $i]: (c_Empty))) 88.26/11.83 = (X12 @ X13))), 88.26/11.83 inference('cnf', [status(esa)], [zf_stmt_0])). 88.26/11.83 thf(zip_derived_cl20330, plain, 88.26/11.83 (![X17 : $i, X18 : $i]: 88.26/11.83 (('#l_lift18390' @ X17 @ X18) 88.26/11.83 = (sk__66 @ ('#l_lift18389' @ X17) @ 88.26/11.83 (sk__66 @ ('#l_lift18386' @ (c_setsum @ c_Empty @ c_Empty)) @ X18)))), 88.26/11.83 define([status(thm)])). 88.26/11.83 thf(zip_derived_cl228, plain, 88.26/11.83 (![X12 : $i > $i, X13 : $i]: 88.26/11.83 ((sk__64 @ 88.26/11.83 (^[Y0 : $i,Y1 : $i,Y2 : $i]: 88.26/11.83 (sk__65 @ 88.26/11.83 (^[Y3 : $i]: 88.26/11.83 (sk__66 @ (^[Y4 : ($i > $i > $i > $i) > $i,Y5 : $i]: (Y2)) @ 88.26/11.83 (sk__66 @ 88.26/11.83 (^[Y4 : ($i > $i > $i > $i) > $i,Y5 : $i]: 88.26/11.83 (c_setsum @ c_Empty @ c_Empty)) @ 88.26/11.83 Y3))) @ 88.26/11.83 (c_Inj1 @ c_Empty))) @ 88.26/11.83 (^[Y0 : $i]: (X12 @ c_Empty)) @ (^[Y0 : $i > $i > $i]: (c_Empty))) 88.26/11.83 = (X12 @ X13))), 88.26/11.83 inference('cnf', [status(esa)], [zf_stmt_0])). 88.26/11.83 thf(zip_derived_cl221, plain, 88.26/11.83 (![X2 : $i > $i, X3 : $i > $i, X4 : $i > ($i > $i > $i) > $i]: 88.26/11.83 ((sk__66 @ 88.26/11.83 (^[Y0 : ($i > $i > $i > $i) > $i,Y1 : $i]: 88.26/11.83 (X2 @ 88.26/11.83 (sk__66 @ 88.26/11.83 (^[Y2 : ($i > $i > $i > $i) > $i,Y3 : $i]: 88.26/11.83 (sk__64 @ 88.26/11.83 (^[Y4 : $i,Y5 : $i,Y6 : $i]: (c_Inj1 @ c_Empty)) @ 88.26/11.83 (^[Y4 : $i]: (c_Inj0 @ c_Empty)) @ 88.26/11.83 (^[Y4 : $i > $i > $i]: 88.26/11.83 (sk__67 @ (^[Y5 : $i]: (c_Empty)) @ 88.26/11.83 (^[Y5 : $i]: (c_Empty)))))) @ 88.26/11.83 (c_Inj0 @ 88.26/11.83 (sk__64 @ (^[Y2 : $i,Y3 : $i,Y4 : $i]: (c_Empty)) @ 88.26/11.83 (^[Y2 : $i]: (c_Empty)) @ (^[Y2 : $i > $i > $i]: (c_Empty))))))) @ 88.26/11.83 (sk__67 @ (^[Y0 : $i]: (c_setsum @ Y0 @ c_Empty)) @ 88.26/11.83 (^[Y0 : $i]: (c_Empty)))) 88.26/11.83 = (c_setsum @ 88.26/11.83 (X2 @ 88.26/11.83 (X3 @ 88.26/11.83 (sk__64 @ (^[Y0 : $i,Y1 : $i,Y2 : $i]: (c_Inj1 @ c_Empty)) @ 88.26/11.83 (^[Y0 : $i]: 88.26/11.83 (sk__64 @ (^[Y1 : $i,Y2 : $i,Y3 : $i]: (c_Empty)) @ 88.26/11.83 (^[Y1 : $i]: (c_Empty)) @ 88.26/11.83 (^[Y1 : $i > $i > $i]: (c_Empty)))) @ 88.26/11.83 (^[Y0 : $i > $i > $i]: (c_setsum @ c_Empty @ c_Empty))))) @ 88.26/11.83 (sk__65 @ (^[Y0 : $i]: (X2 @ c_Empty)) @ 88.26/11.83 (X3 @ 88.26/11.83 (X4 @ (sk__65 @ (^[Y0 : $i]: (c_Empty)) @ c_Empty) @ 88.26/11.83 (^[Y0 : $i,Y1 : $i]: (c_Empty)))))))), 88.26/11.83 inference('cnf', [status(esa)], [zf_stmt_0])). 88.26/11.83 thf(zip_derived_cl20299, plain, 88.26/11.83 (![X9 : ($i > $i > $i > $i) > $i, X10 : $i]: 88.26/11.83 (('#l_lift18377' @ X9 @ X10) 88.26/11.83 = (sk__64 @ '#l_lift18375' @ 88.26/11.83 ('#l_lift18355' @ (c_Inj0 @ c_Empty)) @ '#l_lift18376'))), 88.26/11.83 define([status(thm)])). 88.26/11.83 thf(zip_derived_cl20329, plain, 88.26/11.83 ((('#l_lift18389' @ 88.26/11.83 (sk__64 @ '#l_lift18375' @ ('#l_lift18355' @ (c_Inj0 @ c_Empty)) @ 88.26/11.83 '#l_lift18376')) 88.26/11.83 = ('#l_lift18377'))), 88.26/11.83 define([status(thm)])). 88.26/11.83 thf(zip_derived_cl228, plain, 88.26/11.83 (![X12 : $i > $i, X13 : $i]: 88.26/11.83 ((sk__64 @ 88.26/11.83 (^[Y0 : $i,Y1 : $i,Y2 : $i]: 88.26/11.83 (sk__65 @ 88.26/11.83 (^[Y3 : $i]: 88.26/11.83 (sk__66 @ (^[Y4 : ($i > $i > $i > $i) > $i,Y5 : $i]: (Y2)) @ 88.26/11.83 (sk__66 @ 88.26/11.83 (^[Y4 : ($i > $i > $i > $i) > $i,Y5 : $i]: 88.26/11.83 (c_setsum @ c_Empty @ c_Empty)) @ 88.26/11.83 Y3))) @ 88.26/11.83 (c_Inj1 @ c_Empty))) @ 88.26/11.83 (^[Y0 : $i]: (X12 @ c_Empty)) @ (^[Y0 : $i > $i > $i]: (c_Empty))) 88.26/11.83 = (X12 @ X13))), 88.26/11.83 inference('cnf', [status(esa)], [zf_stmt_0])). 88.26/11.83 thf(zip_derived_cl222, plain, 88.26/11.83 (![X5 : ($i > $i) > ($i > $i) > $i, X6 : $i]: 88.26/11.83 ((sk__65 @ 88.26/11.83 (^[Y0 : $i]: 88.26/11.83 (X5 @ (^[Y1 : $i]: (c_setsum @ Y1 @ Y0)) @ 88.26/11.83 (^[Y1 : $i]: (c_Empty)))) @ 88.26/11.83 c_Empty) 88.26/11.83 = (X5 @ 88.26/11.83 (^[Y0 : $i]: 88.26/11.83 (c_setsum @ 88.26/11.83 (sk__66 @ 88.26/11.83 (^[Y1 : ($i > $i > $i > $i) > $i,Y2 : $i]: (c_Empty)) @ 88.26/11.83 (sk__67 @ 88.26/11.83 (^[Y1 : $i]: 88.26/11.83 (sk__66 @ 88.26/11.83 (^[Y2 : ($i > $i > $i > $i) > $i,Y3 : $i]: (c_Empty)) @ 88.26/11.83 c_Empty)) @ 88.26/11.83 (^[Y1 : $i]: (sk__65 @ (^[Y2 : $i]: (c_Empty)) @ c_Empty)))) @ 88.26/11.83 (sk__66 @ 88.26/11.83 (^[Y1 : ($i > $i > $i > $i) > $i,Y2 : $i]: (c_Empty)) @ 88.26/11.83 (sk__66 @ 88.26/11.83 (^[Y1 : ($i > $i > $i > $i) > $i,Y2 : $i]: 88.26/11.83 (c_setsum @ c_Empty @ c_Empty)) @ 88.26/11.83 (sk__66 @ 88.26/11.83 (^[Y1 : ($i > $i > $i > $i) > $i,Y2 : $i]: (c_Empty)) @ 88.26/11.83 c_Empty))))) @ 88.26/11.83 (^[Y0 : $i]: 88.26/11.83 (c_Inj1 @ 88.26/11.83 (sk__65 @ 88.26/11.83 (^[Y1 : $i]: 88.26/11.83 (X5 @ 88.26/11.83 (^[Y2 : $i]: 88.26/11.83 (sk__65 @ (^[Y3 : $i]: (c_Empty)) @ c_Empty)) @ 88.26/11.83 (^[Y2 : $i]: (c_Inj1 @ c_Empty)))) @ 88.26/11.83 X6)))))), 88.26/11.83 inference('cnf', [status(esa)], [zf_stmt_0])). 88.26/11.83 thf(zip_derived_cl20309, plain, 88.26/11.83 (![X10 : ($i > $i > $i > $i) > $i, X11 : $i]: 88.26/11.83 (('#l_lift18385' @ X10 @ X11) = (c_setsum @ c_Empty @ c_Empty))), 88.26/11.83 define([status(thm)])). 88.26/11.83 thf(zip_derived_cl20328, plain, 88.26/11.83 ((('#l_lift18389' @ (c_setsum @ c_Empty @ c_Empty)) = ('#l_lift18385'))), 88.26/11.83 define([status(thm)])). 88.26/11.83 thf(zip_derived_cl228, plain, 88.26/11.83 (![X12 : $i > $i, X13 : $i]: 88.26/11.83 ((sk__64 @ 88.26/11.83 (^[Y0 : $i,Y1 : $i,Y2 : $i]: 88.26/11.83 (sk__65 @ 88.26/11.83 (^[Y3 : $i]: 88.26/11.83 (sk__66 @ (^[Y4 : ($i > $i > $i > $i) > $i,Y5 : $i]: (Y2)) @ 88.26/11.83 (sk__66 @ 88.26/11.83 (^[Y4 : ($i > $i > $i > $i) > $i,Y5 : $i]: 88.26/11.83 (c_setsum @ c_Empty @ c_Empty)) @ 88.26/11.83 Y3))) @ 88.26/11.83 (c_Inj1 @ c_Empty))) @ 88.26/11.83 (^[Y0 : $i]: (X12 @ c_Empty)) @ (^[Y0 : $i > $i > $i]: (c_Empty))) 88.26/11.83 = (X12 @ X13))), 88.26/11.83 inference('cnf', [status(esa)], [zf_stmt_0])). 88.26/11.83 thf(zip_derived_cl220, plain, 88.26/11.83 (![X0 : $i, X1 : $i]: 88.26/11.83 ((sk__67 @ (^[Y0 : $i]: (X0)) @ (^[Y0 : $i]: (X1))) 88.26/11.83 = (c_setsum @ 88.26/11.83 (sk__66 @ 88.26/11.83 (^[Y0 : ($i > $i > $i > $i) > $i,Y1 : $i]: (c_Empty)) @ 88.26/11.83 (sk__64 @ 88.26/11.83 (^[Y0 : $i,Y1 : $i,Y2 : $i]: 88.26/11.83 (sk__67 @ (^[Y3 : $i]: (Y2)) @ (^[Y3 : $i]: (c_Empty)))) @ 88.26/11.83 (^[Y0 : $i]: (c_Empty)) @ (^[Y0 : $i > $i > $i]: (c_Empty)))) @ 88.26/11.83 c_Empty))), 88.26/11.83 inference('cnf', [status(esa)], [zf_stmt_0])). 88.26/11.83 thf(zip_derived_cl20291, plain, 88.26/11.83 (![X2 : ($i > $i > $i > $i) > $i, X3 : $i]: 88.26/11.83 (('#l_lift18371' @ X2 @ X3) = (c_Empty))), 88.26/11.83 define([status(thm)])). 88.26/11.83 thf(zip_derived_cl20327, plain, 88.26/11.83 ((('#l_lift18389' @ c_Empty) = ('#l_lift18371'))), define([status(thm)])). 88.26/11.83 thf(zip_derived_cl228, plain, 88.26/11.83 (![X12 : $i > $i, X13 : $i]: 88.26/11.83 ((sk__64 @ 88.26/11.83 (^[Y0 : $i,Y1 : $i,Y2 : $i]: 88.26/11.83 (sk__65 @ 88.26/11.83 (^[Y3 : $i]: 88.26/11.83 (sk__66 @ (^[Y4 : ($i > $i > $i > $i) > $i,Y5 : $i]: (Y2)) @ 88.26/11.83 (sk__66 @ 88.26/11.83 (^[Y4 : ($i > $i > $i > $i) > $i,Y5 : $i]: 88.26/11.83 (c_setsum @ c_Empty @ c_Empty)) @ 88.26/11.83 Y3))) @ 88.26/11.83 (c_Inj1 @ c_Empty))) @ 88.26/11.83 (^[Y0 : $i]: (X12 @ c_Empty)) @ (^[Y0 : $i > $i > $i]: (c_Empty))) 88.26/11.83 = (X12 @ X13))), 88.26/11.83 inference('cnf', [status(esa)], [zf_stmt_0])). 88.26/11.83 thf(zip_derived_cl221, plain, 88.26/11.83 (![X2 : $i > $i, X3 : $i > $i, X4 : $i > ($i > $i > $i) > $i]: 88.26/11.83 ((sk__66 @ 88.26/11.83 (^[Y0 : ($i > $i > $i > $i) > $i,Y1 : $i]: 88.26/11.83 (X2 @ 88.26/11.83 (sk__66 @ 88.26/11.83 (^[Y2 : ($i > $i > $i > $i) > $i,Y3 : $i]: 88.26/11.83 (sk__64 @ 88.26/11.83 (^[Y4 : $i,Y5 : $i,Y6 : $i]: (c_Inj1 @ c_Empty)) @ 88.26/11.83 (^[Y4 : $i]: (c_Inj0 @ c_Empty)) @ 88.26/11.83 (^[Y4 : $i > $i > $i]: 88.26/11.83 (sk__67 @ (^[Y5 : $i]: (c_Empty)) @ 88.26/11.83 (^[Y5 : $i]: (c_Empty)))))) @ 88.26/11.83 (c_Inj0 @ 88.26/11.83 (sk__64 @ (^[Y2 : $i,Y3 : $i,Y4 : $i]: (c_Empty)) @ 88.26/11.83 (^[Y2 : $i]: (c_Empty)) @ (^[Y2 : $i > $i > $i]: (c_Empty))))))) @ 88.26/11.83 (sk__67 @ (^[Y0 : $i]: (c_setsum @ Y0 @ c_Empty)) @ 88.26/11.83 (^[Y0 : $i]: (c_Empty)))) 88.26/11.83 = (c_setsum @ 88.26/11.83 (X2 @ 88.26/11.83 (X3 @ 88.26/11.83 (sk__64 @ (^[Y0 : $i,Y1 : $i,Y2 : $i]: (c_Inj1 @ c_Empty)) @ 88.26/11.83 (^[Y0 : $i]: 88.26/11.83 (sk__64 @ (^[Y1 : $i,Y2 : $i,Y3 : $i]: (c_Empty)) @ 88.26/11.83 (^[Y1 : $i]: (c_Empty)) @ 88.26/11.83 (^[Y1 : $i > $i > $i]: (c_Empty)))) @ 88.26/11.83 (^[Y0 : $i > $i > $i]: (c_setsum @ c_Empty @ c_Empty))))) @ 88.26/11.83 (sk__65 @ (^[Y0 : $i]: (X2 @ c_Empty)) @ 88.26/11.83 (X3 @ 88.26/11.83 (X4 @ (sk__65 @ (^[Y0 : $i]: (c_Empty)) @ c_Empty) @ 88.26/11.83 (^[Y0 : $i,Y1 : $i]: (c_Empty)))))))), 88.26/11.83 inference('cnf', [status(esa)], [zf_stmt_0])). 88.26/11.83 thf(zip_derived_cl20301, plain, 88.26/11.83 (![X2 : $i > $i, X14 : ($i > $i > $i > $i) > $i, X15 : $i]: 88.26/11.83 (('#l_lift18379' @ X2 @ X14 @ X15) 88.26/11.83 = (X2 @ 88.26/11.83 (sk__66 @ '#l_lift18377' @ 88.26/11.83 (c_Inj0 @ 88.26/11.83 (sk__64 @ '#l_lift18378' @ ('#l_lift18355' @ c_Empty) @ 88.26/11.83 '#l_lift18374')))))), 88.26/11.83 define([status(thm)])). 88.26/11.83 thf(zip_derived_cl20326, plain, 88.26/11.83 (![X0 : $i > $i]: 88.26/11.83 (('#l_lift18389' @ 88.26/11.83 (X0 @ 88.26/11.83 (sk__66 @ '#l_lift18377' @ 88.26/11.83 (c_Inj0 @ 88.26/11.83 (sk__64 @ '#l_lift18378' @ ('#l_lift18355' @ c_Empty) @ 88.26/11.83 '#l_lift18374'))))) 88.26/11.83 = ('#l_lift18379' @ X0))), 88.26/11.83 define([status(thm)])). 88.26/11.83 thf(zip_derived_cl228, plain, 88.26/11.83 (![X12 : $i > $i, X13 : $i]: 88.26/11.83 ((sk__64 @ 88.26/11.83 (^[Y0 : $i,Y1 : $i,Y2 : $i]: 88.26/11.83 (sk__65 @ 88.26/11.83 (^[Y3 : $i]: 88.26/11.83 (sk__66 @ (^[Y4 : ($i > $i > $i > $i) > $i,Y5 : $i]: (Y2)) @ 88.26/11.83 (sk__66 @ 88.26/11.83 (^[Y4 : ($i > $i > $i > $i) > $i,Y5 : $i]: 88.26/11.83 (c_setsum @ c_Empty @ c_Empty)) @ 88.26/11.83 Y3))) @ 88.26/11.83 (c_Inj1 @ c_Empty))) @ 88.26/11.83 (^[Y0 : $i]: (X12 @ c_Empty)) @ (^[Y0 : $i > $i > $i]: (c_Empty))) 88.26/11.83 = (X12 @ X13))), 88.26/11.83 inference('cnf', [status(esa)], [zf_stmt_0])). 88.26/11.83 thf(zip_derived_cl20312, plain, 88.26/11.83 (![X7 : $i, X8 : ($i > $i > $i > $i) > $i, X9 : $i]: 88.26/11.83 (('#l_lift18386' @ X7 @ X8 @ X9) = (X7))), 88.26/11.83 define([status(thm)])). 88.26/11.83 thf(zip_derived_cl20325, plain, 88.26/11.83 (![X0 : $i]: (('#l_lift18389' @ X0) = ('#l_lift18386' @ X0))), 88.26/11.83 define([status(thm)])). 88.26/11.83 thf(zip_derived_cl228, plain, 88.26/11.83 (![X12 : $i > $i, X13 : $i]: 88.26/11.83 ((sk__64 @ 88.26/11.83 (^[Y0 : $i,Y1 : $i,Y2 : $i]: 88.26/11.83 (sk__65 @ 88.26/11.83 (^[Y3 : $i]: 88.26/11.83 (sk__66 @ (^[Y4 : ($i > $i > $i > $i) > $i,Y5 : $i]: (Y2)) @ 88.26/11.83 (sk__66 @ 88.26/11.83 (^[Y4 : ($i > $i > $i > $i) > $i,Y5 : $i]: 88.26/11.83 (c_setsum @ c_Empty @ c_Empty)) @ 88.26/11.83 Y3))) @ 88.26/11.83 (c_Inj1 @ c_Empty))) @ 88.26/11.83 (^[Y0 : $i]: (X12 @ c_Empty)) @ (^[Y0 : $i > $i > $i]: (c_Empty))) 88.26/11.83 = (X12 @ X13))), 88.26/11.83 inference('cnf', [status(esa)], [zf_stmt_0])). 88.26/11.83 thf(zip_derived_cl20324, plain, 88.26/11.83 (![X14 : $i, X15 : ($i > $i > $i > $i) > $i, X16 : $i]: 88.26/11.83 (('#l_lift18389' @ X14 @ X15 @ X16) = (X14))), 88.26/11.83 define([status(thm)])). 88.26/11.83 thf(zip_derived_cl20332, plain, 88.26/11.83 (![X12 : $i > $i, X13 : $i]: 88.26/11.83 ((sk__64 @ '#l_lift18391' @ ('#l_lift18355' @ (X12 @ c_Empty)) @ 88.26/11.83 '#l_lift18374') = (X12 @ X13))), 88.26/11.83 inference('lambda_lifting', [status(thm)], 88.26/11.83 [zip_derived_cl228, zip_derived_cl20312, zip_derived_cl20241, 88.26/11.83 zip_derived_cl20295, zip_derived_cl20331, 88.26/11.83 zip_derived_cl20330, zip_derived_cl20329, 88.26/11.83 zip_derived_cl20328, zip_derived_cl20327, 88.26/11.83 zip_derived_cl20326, zip_derived_cl20325, zip_derived_cl20324])). 88.26/11.83 thf(zip_derived_cl221, plain, 88.26/11.83 (![X2 : $i > $i, X3 : $i > $i, X4 : $i > ($i > $i > $i) > $i]: 88.26/11.83 ((sk__66 @ 88.26/11.83 (^[Y0 : ($i > $i > $i > $i) > $i,Y1 : $i]: 88.26/11.83 (X2 @ 88.26/11.83 (sk__66 @ 88.26/11.83 (^[Y2 : ($i > $i > $i > $i) > $i,Y3 : $i]: 88.26/11.83 (sk__64 @ 88.26/11.83 (^[Y4 : $i,Y5 : $i,Y6 : $i]: (c_Inj1 @ c_Empty)) @ 88.26/11.83 (^[Y4 : $i]: (c_Inj0 @ c_Empty)) @ 88.26/11.83 (^[Y4 : $i > $i > $i]: 88.26/11.83 (sk__67 @ (^[Y5 : $i]: (c_Empty)) @ 88.26/11.83 (^[Y5 : $i]: (c_Empty)))))) @ 88.26/11.83 (c_Inj0 @ 88.26/11.83 (sk__64 @ (^[Y2 : $i,Y3 : $i,Y4 : $i]: (c_Empty)) @ 88.26/11.83 (^[Y2 : $i]: (c_Empty)) @ (^[Y2 : $i > $i > $i]: (c_Empty))))))) @ 88.26/11.83 (sk__67 @ (^[Y0 : $i]: (c_setsum @ Y0 @ c_Empty)) @ 88.26/11.83 (^[Y0 : $i]: (c_Empty)))) 88.26/11.83 = (c_setsum @ 88.26/11.83 (X2 @ 88.26/11.83 (X3 @ 88.26/11.83 (sk__64 @ (^[Y0 : $i,Y1 : $i,Y2 : $i]: (c_Inj1 @ c_Empty)) @ 88.26/11.83 (^[Y0 : $i]: 88.26/11.83 (sk__64 @ (^[Y1 : $i,Y2 : $i,Y3 : $i]: (c_Empty)) @ 88.26/11.83 (^[Y1 : $i]: (c_Empty)) @ 88.26/11.83 (^[Y1 : $i > $i > $i]: (c_Empty)))) @ 88.26/11.83 (^[Y0 : $i > $i > $i]: (c_setsum @ c_Empty @ c_Empty))))) @ 88.26/11.83 (sk__65 @ (^[Y0 : $i]: (X2 @ c_Empty)) @ 88.26/11.83 (X3 @ 88.26/11.83 (X4 @ (sk__65 @ (^[Y0 : $i]: (c_Empty)) @ c_Empty) @ 88.26/11.83 (^[Y0 : $i,Y1 : $i]: (c_Empty)))))))), 88.26/11.83 inference('cnf', [status(esa)], [zf_stmt_0])). 88.26/11.83 thf(zip_derived_cl20304, plain, 88.26/11.83 (![X18 : $i, X19 : $i]: (('#l_lift18382' @ X18 @ X19) = (c_Empty))), 88.26/11.83 define([status(thm)])). 88.26/11.83 thf(zip_derived_cl20373, plain, ($false), 88.26/11.83 inference('eprover', [status(thm)], 88.26/11.83 [zip_derived_cl56, zip_derived_cl129, zip_derived_cl13, 88.26/11.83 zip_derived_cl20318, zip_derived_cl236, zip_derived_cl88, 88.26/11.83 zip_derived_cl20332, zip_derived_cl20304])). 88.26/11.83 88.26/11.83 % SZS output end Refutation 88.26/11.83 88.26/11.83 88.26/11.83 % Terminating... 88.94/11.97 % Runner terminated. 88.94/11.98 % Zipperpin 1.5 exiting 88.94/11.98 EOF