0.05/0.10 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.05/0.12 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.r4UnCIZ2JL true 0.11/0.32 % Computer : n026.cluster.edu 0.11/0.32 % Model : x86_64 x86_64 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.11/0.32 % Memory : 8042.1875MB 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64 0.11/0.32 % CPULimit : 1200 0.11/0.32 % WCLimit : 120 0.11/0.32 % DateTime : Tue Jul 13 13:09:14 EDT 2021 0.11/0.32 % CPUTime : 0.11/0.32 % Running portfolio for 120 s 0.11/0.32 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p 0.11/0.32 % Number of cores: 8 0.11/0.32 % Python version: Python 3.6.8 0.11/0.32 % Running in HO mode 0.45/0.62 % Total configuration time : 828 0.45/0.62 % Estimated wc time : 983 0.45/0.62 % Estimated cpu time (8 cpus) : 122.875 0.51/0.71 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 47s 0.51/0.71 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 47s 0.51/0.71 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 47s 0.51/0.71 % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 53s 0.51/0.72 % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 18s 0.51/0.72 % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 41s 0.51/0.72 % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 24s 0.51/0.72 % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 35s 0.53/0.81 % /export/starexec/sandbox2/solver/bin/lams/30_b.l.sh running for 53s 0.53/0.94 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif.sh running for 33s 90.08/12.25 % Solved by lams/40_noforms.sh. 90.08/12.25 % running E: timeout 44 /export/starexec/sandbox2/solver/bin/lams/eprover-ho --pos-ext=all --neg-ext=all /export/starexec/sandbox2/tmp/tmp.r4UnCIZ2JL/e_inputd19998 --cpu-limit=42 --auto-schedule -s -p 90.08/12.25 % done 579 iterations in 11.473s 90.08/12.25 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p' 90.08/12.25 % SZS output start Refutation 90.08/12.25 thf(c_not_type, type, c_not: $o > $o). 90.08/12.25 thf('#l_lift5381_type', type, '#l_lift5381': $i > $i > $i). 90.08/12.25 thf('#l_lift5432_type', type, '#l_lift5432': $i > $i > ($i > $i) > $i). 90.08/12.25 thf(c_In_type, type, c_In: $i > $i > $o). 90.08/12.25 thf(sk__65_type, type, sk__65: ((((($i > $i) > $i > $i) > $i > $i) > $i) > $i) > 90.08/12.25 $i > $i). 90.08/12.25 thf(c_False_type, type, c_False: $o). 90.08/12.25 thf(c_Subq_type, type, c_Subq: $i > $i > $o). 90.08/12.25 thf(c_iff_type, type, c_iff: $o > $o > $o). 90.08/12.25 thf(c_Inj0_type, type, c_Inj0: $i > $i). 90.08/12.25 thf(c_Inj1_type, type, c_Inj1: $i > $i). 90.08/12.25 thf(sk__type, type, sk_: $i > $i > $i). 90.08/12.25 thf(c_setsum_type, type, c_setsum: $i > $i > $i). 90.08/12.25 thf(c_Empty_type, type, c_Empty: $i). 90.08/12.25 thf(c_lam_type, type, c_lam: $i > ($i > $i) > $i). 90.08/12.25 thf(sk__64_type, type, sk__64: (($i > $i > $i > $i) > $i) > 90.08/12.25 (((($i > $i) > $i > $i) > $i) > ($i > $i > $i) > $i) > $i). 90.08/12.25 thf(c_setprod_type, type, c_setprod: $i > $i > $i). 90.08/12.25 thf(c_Power_type, type, c_Power: $i > $i). 90.08/12.25 thf(sk__67_type, type, sk__67: ($i > $i) > ($i > $i > ($i > $i) > $i) > $i). 90.08/12.25 thf(ax17, axiom, 90.08/12.25 (![X0:$i,X1:$i]: 90.08/12.25 ( ( c_Subq @ X0 @ X1 ) <=> 90.08/12.25 ( ![X2:$i]: ( ( c_In @ X2 @ X0 ) => ( c_In @ X2 @ X1 ) ) ) ))). 90.08/12.25 thf(zip_derived_cl2, plain, 90.08/12.25 (![X0 : $i, X1 : $i]: 90.08/12.25 ( (c_Subq @ X0 @ X1) | (c_In @ (sk_ @ X1 @ X0) @ X0))), 90.08/12.25 inference('cnf', [status(esa)], [ax17])). 90.08/12.25 thf(ax3, axiom, 90.08/12.25 (![X0:$o,X1:$o]: ( ( c_iff @ X0 @ X1 ) => ( ( X0 ) <=> ( X1 ) ) ))). 90.08/12.25 thf(zip_derived_cl182, plain, 90.08/12.25 (![X0 : $o, X1 : $o]: (~ (X0) | (X1) | ~ (c_iff @ X1 @ X0))), 90.08/12.25 inference('cnf', [status(esa)], [ax3])). 90.08/12.25 thf(zip_derived_cl247, plain, 90.08/12.25 (![X0 : $o]: ( (X0) | ~ (c_iff @ X0 @ ($true)))), 90.08/12.25 inference('ho.refine', [status(thm)], [zip_derived_cl182])). 90.08/12.25 thf(ax7, axiom, 90.08/12.25 (![X0:$i,X1:$i]: 90.08/12.25 ( c_iff @ ( c_In @ X1 @ ( c_Power @ X0 ) ) @ ( c_Subq @ X1 @ X0 ) ))). 90.08/12.25 thf(zip_derived_cl163, plain, 90.08/12.25 (![X0 : $i, X1 : $i]: 90.08/12.25 (c_iff @ (c_In @ X0 @ (c_Power @ X1)) @ (c_Subq @ X0 @ X1))), 90.08/12.25 inference('cnf', [status(esa)], [ax7])). 90.08/12.25 thf(conj, conjecture, 90.08/12.25 (![X0:( ( ( $i > $i > $i > $i ) > $i ) > 90.08/12.25 ( ( ( ( $i > $i ) > $i > $i ) > $i ) > ( $i > $i > $i ) > $i ) > $i ), 90.08/12.25 X1:( ( ( ( ( ( $i > $i ) > $i > $i ) > $i > $i ) > $i ) > $i ) > $i > $i ), 90.08/12.25 X2:( ( ( ( ( ( $i > $i ) > $i > $i ) > ( $i > $i ) > $i ) > $i > $i > $i > 90.08/12.25 $i ) > 90.08/12.25 $i ) > 90.08/12.25 ( $i > ( $i > $i ) > ( $i > $i ) > $i > $i ) > $i ), 90.08/12.25 X3:( ( $i > $i ) > ( $i > $i > ( $i > $i ) > $i ) > $i )]: 90.08/12.25 ( ( ![X4:$i,X5:$i,X6:$i,X7:$i]: 90.08/12.25 ( ( X3 @ 90.08/12.25 ( ^[X8:$i]: ( c_Empty ) ) @ 90.08/12.25 ( ^[X8:$i,X9:$i,X10:( $i > $i )]: ( c_Empty ) ) ) = 90.08/12.25 ( X6 ) ) ) => 90.08/12.25 ( ( ![X4:( ( $i > $i > $i > $i ) > $i > $i ),X5:$i, 90.08/12.25 X6:( ( ( ( $i > $i ) > $i > $i ) > ( $i > $i ) > $i > $i ) > $i ), 90.08/12.25 X7:( ( ( $i > $i ) > ( $i > $i ) > $i ) > ( $i > $i ) > $i )]: 90.08/12.25 ( ( X3 @ 90.08/12.25 ( ^[X8:$i]: ( c_Empty ) ) @ 90.08/12.25 ( ^[X8:$i,X9:$i,X10:( $i > $i )]: 90.08/12.25 ( X1 @ 90.08/12.25 ( ^[X11:( ( ( ( $i > $i ) > $i > $i ) > $i > $i ) > $i )]: 90.08/12.25 ( c_Inj0 @ 90.08/12.25 ( X11 @ 90.08/12.25 ( ^[X12:( ( $i > $i ) > $i > $i ),X13:$i]: 90.08/12.25 ( X11 @ 90.08/12.25 ( ^[X14:( ( $i > $i ) > $i > $i ),X15:$i]: 90.08/12.25 ( c_Empty ) ) ) ) ) ) ) @ 90.08/12.25 X9 ) ) ) = 90.08/12.25 ( X1 @ 90.08/12.25 ( ^[X8:( ( ( ( $i > $i ) > $i > $i ) > $i > $i ) > $i )]: 90.08/12.25 ( X2 @ 90.08/12.25 ( ^[X9:( ( ( ( $i > $i ) > $i > $i ) > ( $i > $i ) > $i ) > 90.08/12.25 $i > $i > $i > $i )]: 90.08/12.25 ( c_Empty ) ) @ 90.08/12.25 ( ^[X9:$i,X10:( $i > $i ),X11:( $i > $i ),X12:$i]: 90.08/12.25 ( X10 @ ( X10 @ X9 ) ) ) ) ) @ 90.08/12.25 ( c_setsum @ c_Empty @ ( c_Inj0 @ c_Empty ) ) ) ) ) => 90.08/12.25 ( ( ![X4:( ( ( ( $i > $i ) > $i > $i ) > $i ) > 90.08/12.25 ( ( $i > $i ) > $i ) > ( $i > $i ) > $i > $i ), 90.08/12.25 X5:$i,X6:( $i > $i ),X7:( ( $i > $i ) > $i > $i )]: 90.08/12.25 ( ( X2 @ 90.08/12.25 ( ^[X8:( ( ( ( $i > $i ) > $i > $i ) > ( $i > $i ) > $i ) > 90.08/12.25 $i > $i > $i > $i )]: 90.08/12.25 ( c_Empty ) ) @ 90.08/12.25 ( ^[X8:$i,X9:( $i > $i ),X10:( $i > $i ),X11:$i]: 90.08/12.25 ( X0 @ 90.08/12.25 ( ^[X12:( $i > $i > $i > $i )]: ( c_Empty ) ) @ 90.08/12.25 ( ^[X12:( ( ( $i > $i ) > $i > $i ) > $i ), 90.08/12.25 X13:( $i > $i > $i )]: 90.08/12.25 ( X2 @ 90.08/12.25 ( ^[X14:( ( ( ( $i > $i ) > $i > $i ) > ( $i > $i ) > 90.08/12.25 $i ) > 90.08/12.25 $i > $i > $i > $i )]: 90.08/12.25 ( c_Empty ) ) @ 90.08/12.25 ( ^[X14:$i,X15:( $i > $i ),X16:( $i > $i ),X17:$i]: 90.08/12.25 ( c_setsum @ 90.08/12.25 ( X0 @ 90.08/12.25 ( ^[X18:( $i > $i > $i > $i )]: ( c_Empty ) ) @ 90.08/12.25 ( ^[X18:( ( ( $i > $i ) > $i > $i ) > $i ), 90.08/12.25 X19:( $i > $i > $i )]: 90.08/12.25 ( c_Empty ) ) ) @ 90.08/12.25 ( c_setsum @ c_Empty @ c_Empty ) ) ) ) ) ) ) ) = 90.08/12.25 ( X0 @ 90.08/12.25 ( ^[X8:( $i > $i > $i > $i )]: 90.08/12.25 ( X3 @ 90.08/12.25 ( ^[X9:$i]: ( c_Empty ) ) @ 90.08/12.25 ( ^[X9:$i,X10:$i,X11:( $i > $i )]: ( c_Empty ) ) ) ) @ 90.08/12.25 ( ^[X8:( ( ( $i > $i ) > $i > $i ) > $i ),X9:( $i > $i > $i )]: 90.08/12.25 ( X1 @ 90.08/12.25 ( ^[X10:( ( ( ( $i > $i ) > $i > $i ) > $i > $i ) > $i )]: 90.08/12.25 ( c_Empty ) ) @ 90.08/12.25 c_Empty ) ) ) ) ) => 90.08/12.25 ( ( ![X4:( $i > $i > ( $i > $i ) > $i ),X5:$i, 90.08/12.25 X6:( ( ( $i > $i > $i ) > $i > $i > $i ) > $i > $i ), 90.08/12.25 X7:( ( ( $i > $i > $i ) > $i ) > $i )]: 90.08/12.25 ( ( X2 @ 90.08/12.25 ( ^[X8:( ( ( ( $i > $i ) > $i > $i ) > ( $i > $i ) > $i ) > 90.08/12.25 $i > $i > $i > $i )]: 90.08/12.25 ( c_Inj0 @ c_Empty ) ) @ 90.08/12.25 ( ^[X8:$i,X9:( $i > $i ),X10:( $i > $i ),X11:$i]: 90.08/12.25 ( c_Empty ) ) ) = 90.08/12.25 ( c_setsum @ 90.08/12.25 c_Empty @ 90.08/12.25 ( X4 @ 90.08/12.25 ( c_setsum @ 90.08/12.25 ( X4 @ 90.08/12.25 ( c_setsum @ c_Empty @ c_Empty ) @ 90.08/12.25 ( X1 @ 90.08/12.25 ( ^[X8:( ( ( ( $i > $i ) > $i > $i ) > $i > $i ) > 90.08/12.25 $i )]: 90.08/12.25 ( c_Empty ) ) @ 90.08/12.25 c_Empty ) @ 90.08/12.25 ( ^[X8:$i]: ( c_Empty ) ) ) @ 90.08/12.25 ( X3 @ 90.08/12.25 ( ^[X8:$i]: ( c_Empty ) ) @ 90.08/12.25 ( ^[X8:$i,X9:$i,X10:( $i > $i )]: 90.08/12.25 ( c_setsum @ c_Empty @ c_Empty ) ) ) ) @ 90.08/12.26 ( X2 @ 90.08/12.26 ( ^[X8:( ( ( ( $i > $i ) > $i > $i ) > ( $i > $i ) > $i ) > 90.08/12.26 $i > $i > $i > $i )]: 90.08/12.26 ( X0 @ 90.08/12.26 ( ^[X9:( $i > $i > $i > $i )]: 90.08/12.26 ( X7 @ ( ^[X10:( $i > $i > $i )]: ( c_Empty ) ) ) ) @ 90.08/12.26 ( ^[X9:( ( ( $i > $i ) > $i > $i ) > $i ), 90.08/12.26 X10:( $i > $i > $i )]: 90.08/12.26 ( X7 @ ( ^[X11:( $i > $i > $i )]: ( c_Empty ) ) ) ) ) ) @ 90.08/12.26 ( ^[X8:$i,X9:( $i > $i ),X10:( $i > $i ),X11:$i]: 90.08/12.26 ( c_Empty ) ) ) @ 90.08/12.26 ( ^[X8:$i]: 90.08/12.26 ( X1 @ 90.08/12.26 ( ^[X9:( ( ( ( $i > $i ) > $i > $i ) > $i > $i ) > $i )]: 90.08/12.26 ( X2 @ 90.08/12.26 ( ^[X10:( ( ( ( $i > $i ) > $i > $i ) > 90.08/12.26 ( $i > $i ) > $i ) > 90.08/12.26 $i > $i > $i > $i )]: 90.08/12.26 ( c_Empty ) ) @ 90.08/12.26 ( ^[X10:$i,X11:( $i > $i ),X12:( $i > $i ),X13:$i]: 90.08/12.26 ( c_Empty ) ) ) ) @ 90.08/12.26 ( c_setsum @ 90.08/12.26 c_Empty @ 90.08/12.26 ( X1 @ 90.08/12.26 ( ^[X9:( ( ( ( $i > $i ) > $i > $i ) > $i > $i ) > 90.08/12.26 $i )]: 90.08/12.26 ( c_Empty ) ) @ 90.08/12.26 c_Empty ) ) ) ) ) ) ) ) => 90.08/12.26 ( ( ![X4:$i,X5:$i,X6:( $i > $i ),X7:$i]: 90.08/12.26 ( ( X1 @ 90.08/12.26 ( ^[X8:( ( ( ( $i > $i ) > $i > $i ) > $i > $i ) > $i )]: 90.08/12.26 ( c_setsum @ 90.08/12.26 ( X0 @ 90.08/12.26 ( ^[X9:( $i > $i > $i > $i )]: 90.08/12.26 ( X9 @ c_Empty @ X7 @ c_Empty ) ) @ 90.08/12.26 ( ^[X9:( ( ( $i > $i ) > $i > $i ) > $i ), 90.08/12.26 X10:( $i > $i > $i )]: 90.08/12.26 ( X3 @ 90.08/12.26 ( ^[X11:$i]: 90.08/12.26 ( X9 @ 90.08/12.26 ( ^[X12:( $i > $i ),X13:$i]: ( c_Empty ) ) ) ) @ 90.08/12.26 ( ^[X11:$i,X12:$i,X13:( $i > $i )]: ( c_Empty ) ) ) ) ) @ 90.08/12.26 ( c_Inj0 @ c_Empty ) ) ) @ 90.08/12.26 c_Empty ) = 90.08/12.26 ( c_Inj1 @ X4 ) ) ) => 90.08/12.26 ( ( ![X4:( ( ( ( $i > $i ) > $i > $i ) > $i ) > $i ),X5:$i, 90.08/12.26 X6:( ( ( $i > $i ) > ( $i > $i ) > $i ) > ( $i > $i ) > $i ), 90.08/12.26 X7:( $i > $i > ( $i > $i ) > $i > $i )]: 90.08/12.26 ( ( X1 @ 90.08/12.26 ( ^[X8:( ( ( ( $i > $i ) > $i > $i ) > $i > $i ) > $i )]: 90.08/12.26 ( X5 ) ) @ 90.08/12.26 ( c_Inj1 @ c_Empty ) ) = 90.08/12.26 ( c_Inj0 @ 90.08/12.26 ( X3 @ 90.08/12.26 ( ^[X8:$i]: 90.08/12.26 ( X7 @ 90.08/12.26 ( X2 @ 90.08/12.26 ( ^[X9:( ( ( ( $i > $i ) > $i > $i ) > 90.08/12.26 ( $i > $i ) > $i ) > 90.08/12.26 $i > $i > $i > $i )]: 90.08/12.26 ( X6 @ 90.08/12.26 ( ^[X10:( $i > $i ),X11:( $i > $i )]: 90.08/12.26 ( c_Empty ) ) @ 90.08/12.26 ( ^[X10:$i]: ( c_Empty ) ) ) ) @ 90.08/12.26 ( ^[X9:$i,X10:( $i > $i ),X11:( $i > $i ),X12:$i]: 90.08/12.26 ( c_setsum @ c_Empty @ c_Empty ) ) ) @ 90.08/12.26 ( c_Inj1 @ c_Empty ) @ 90.08/12.26 ( ^[X9:$i]: 90.08/12.26 ( X2 @ 90.08/12.26 ( ^[X10:( ( ( ( $i > $i ) > $i > $i ) > 90.08/12.26 ( $i > $i ) > $i ) > 90.08/12.26 $i > $i > $i > $i )]: 90.08/12.26 ( X9 ) ) @ 90.08/12.26 ( ^[X10:$i,X11:( $i > $i ),X12:( $i > $i ), 90.08/12.26 X13:$i]: 90.08/12.26 ( X11 @ c_Empty ) ) ) ) @ 90.08/12.26 ( c_Inj0 @ c_Empty ) ) ) @ 90.08/12.26 ( ^[X8:$i,X9:$i,X10:( $i > $i )]: ( X8 ) ) ) ) ) ) => 90.08/12.26 ( ( ![X4:$i,X5:$i,X6:$i, 90.08/12.26 X7:( ( $i > ( $i > $i ) > $i > $i ) > $i > $i )]: 90.08/12.26 ( ( X0 @ 90.08/12.26 ( ^[X8:( $i > $i > $i > $i )]: ( X6 ) ) @ 90.08/12.26 ( ^[X8:( ( ( $i > $i ) > $i > $i ) > $i ), 90.08/12.26 X9:( $i > $i > $i )]: 90.08/12.26 ( X3 @ 90.08/12.26 ( ^[X10:$i]: 90.08/12.26 ( c_Inj0 @ 90.08/12.26 ( c_setsum @ 90.08/12.26 X10 @ 90.08/12.26 ( X7 @ 90.08/12.26 ( ^[X11:$i,X12:( $i > $i ),X13:$i]: 90.08/12.26 ( c_Empty ) ) @ 90.08/12.26 c_Empty ) ) ) ) @ 90.08/12.26 ( ^[X10:$i,X11:$i,X12:( $i > $i )]: 90.08/12.26 ( c_setsum @ 90.08/12.26 ( c_setsum @ 90.08/12.26 ( c_setsum @ c_Empty @ c_Empty ) @ 90.08/12.26 ( c_setsum @ c_Empty @ c_Empty ) ) @ 90.08/12.26 ( c_Inj0 @ ( X12 @ c_Empty ) ) ) ) ) ) ) = 90.08/12.26 ( X6 ) ) ) => 90.08/12.26 ( ( ![X4:$i, 90.08/12.26 X5:( ( ( $i > $i ) > $i ) > ( $i > $i > $i ) > $i ), 90.08/12.26 X6:$i,X7:( $i > ( ( $i > $i ) > $i ) > $i )]: 90.08/12.26 ( ( X0 @ 90.08/12.26 ( ^[X8:( $i > $i > $i > $i )]: 90.08/12.26 ( c_setsum @ 90.08/12.26 ( c_Inj1 @ 90.08/12.26 ( c_setsum @ 90.08/12.26 c_Empty @ 90.08/12.26 ( X1 @ 90.08/12.26 ( ^[X9:( ( ( ( $i > $i ) > $i > $i ) > $i > 90.08/12.26 $i ) > 90.08/12.26 $i )]: 90.08/12.26 ( c_Empty ) ) @ 90.08/12.26 c_Empty ) ) ) @ 90.08/12.26 ( c_Inj1 @ c_Empty ) ) ) @ 90.08/12.26 ( ^[X8:( ( ( $i > $i ) > $i > $i ) > $i ), 90.08/12.26 X9:( $i > $i > $i )]: 90.08/12.26 ( c_setsum @ 90.08/12.26 X6 @ 90.08/12.26 ( c_Inj0 @ 90.08/12.26 ( X9 @ 90.08/12.26 ( X2 @ 90.08/12.26 ( ^[X10:( ( ( ( $i > $i ) > $i > $i ) > 90.08/12.26 ( $i > $i ) > $i ) > 90.08/12.26 $i > $i > $i > $i )]: 90.08/12.26 ( c_Empty ) ) @ 90.08/12.26 ( ^[X10:$i,X11:( $i > $i ), 90.08/12.26 X12:( $i > $i ),X13:$i]: 90.08/12.26 ( c_Empty ) ) ) @ 90.08/12.26 ( X9 @ c_Empty @ c_Empty ) ) ) ) ) ) = 90.08/12.26 ( X7 @ 90.08/12.26 c_Empty @ ( ^[X8:( $i > $i )]: ( X8 @ c_Empty ) ) ) ) ) => 90.08/12.26 ( c_False ) ) ) ) ) ) ) ) ))). 90.08/12.26 thf(zf_stmt_0, negated_conjecture, 90.08/12.26 (~( ![X0:( ( ( $i > $i > $i > $i ) > $i ) > 90.08/12.26 ( ( ( ( $i > $i ) > $i > $i ) > $i ) > ( $i > $i > $i ) > $i ) > 90.08/12.26 $i ), 90.08/12.26 X1:( ( ( ( ( ( $i > $i ) > $i > $i ) > $i > $i ) > $i ) > $i ) > $i > 90.08/12.26 $i ), 90.08/12.26 X2:( ( ( ( ( ( $i > $i ) > $i > $i ) > ( $i > $i ) > $i ) > $i > 90.08/12.26 $i > $i > $i ) > 90.08/12.26 $i ) > 90.08/12.26 ( $i > ( $i > $i ) > ( $i > $i ) > $i > $i ) > $i ), 90.08/12.26 X3:( ( $i > $i ) > ( $i > $i > ( $i > $i ) > $i ) > $i )]: 90.08/12.26 ( ( ![X4:$i,X5:$i,X6:$i,X7:$i]: 90.08/12.26 ( ( X3 @ 90.08/12.26 ( ^[X8:$i]: ( c_Empty ) ) @ 90.08/12.26 ( ^[X8:$i,X9:$i,X10:( $i > $i )]: ( c_Empty ) ) ) = 90.08/12.26 ( X6 ) ) ) => 90.08/12.26 ( ( ![X4:( ( $i > $i > $i > $i ) > $i > $i ),X5:$i, 90.08/12.26 X6:( ( ( ( $i > $i ) > $i > $i ) > ( $i > $i ) > $i > $i ) > $i ), 90.08/12.26 X7:( ( ( $i > $i ) > ( $i > $i ) > $i ) > ( $i > $i ) > $i )]: 90.08/12.26 ( ( X3 @ 90.08/12.26 ( ^[X8:$i]: ( c_Empty ) ) @ 90.08/12.26 ( ^[X8:$i,X9:$i,X10:( $i > $i )]: 90.08/12.26 ( X1 @ 90.08/12.26 ( ^[X11:( ( ( ( $i > $i ) > $i > $i ) > $i > $i ) > $i )]: 90.08/12.26 ( c_Inj0 @ 90.08/12.26 ( X11 @ 90.08/12.26 ( ^[X12:( ( $i > $i ) > $i > $i ),X13:$i]: 90.08/12.26 ( X11 @ 90.08/12.26 ( ^[X14:( ( $i > $i ) > $i > $i ),X15:$i]: 90.08/12.26 ( c_Empty ) ) ) ) ) ) ) @ 90.08/12.26 X9 ) ) ) = 90.08/12.26 ( X1 @ 90.08/12.26 ( ^[X8:( ( ( ( $i > $i ) > $i > $i ) > $i > $i ) > $i )]: 90.08/12.26 ( X2 @ 90.08/12.26 ( ^[X9:( ( ( ( $i > $i ) > $i > $i ) > ( $i > $i ) > $i ) > 90.08/12.26 $i > $i > $i > $i )]: 90.08/12.26 ( c_Empty ) ) @ 90.08/12.26 ( ^[X9:$i,X10:( $i > $i ),X11:( $i > $i ),X12:$i]: 90.08/12.26 ( X10 @ ( X10 @ X9 ) ) ) ) ) @ 90.08/12.26 ( c_setsum @ c_Empty @ ( c_Inj0 @ c_Empty ) ) ) ) ) => 90.08/12.26 ( ( ![X4:( ( ( ( $i > $i ) > $i > $i ) > $i ) > 90.08/12.26 ( ( $i > $i ) > $i ) > ( $i > $i ) > $i > $i ), 90.08/12.26 X5:$i,X6:( $i > $i ),X7:( ( $i > $i ) > $i > $i )]: 90.08/12.26 ( ( X2 @ 90.08/12.26 ( ^[X8:( ( ( ( $i > $i ) > $i > $i ) > ( $i > $i ) > $i ) > 90.08/12.26 $i > $i > $i > $i )]: 90.08/12.26 ( c_Empty ) ) @ 90.08/12.26 ( ^[X8:$i,X9:( $i > $i ),X10:( $i > $i ),X11:$i]: 90.08/12.26 ( X0 @ 90.08/12.26 ( ^[X12:( $i > $i > $i > $i )]: ( c_Empty ) ) @ 90.08/12.26 ( ^[X12:( ( ( $i > $i ) > $i > $i ) > $i ), 90.08/12.26 X13:( $i > $i > $i )]: 90.08/12.26 ( X2 @ 90.08/12.26 ( ^[X14:( ( ( ( $i > $i ) > $i > $i ) > ( $i > $i ) > 90.08/12.26 $i ) > 90.08/12.26 $i > $i > $i > $i )]: 90.08/12.26 ( c_Empty ) ) @ 90.08/12.26 ( ^[X14:$i,X15:( $i > $i ),X16:( $i > $i ),X17:$i]: 90.08/12.26 ( c_setsum @ 90.08/12.26 ( X0 @ 90.08/12.26 ( ^[X18:( $i > $i > $i > $i )]: ( c_Empty ) ) @ 90.08/12.26 ( ^[X18:( ( ( $i > $i ) > $i > $i ) > $i ), 90.08/12.26 X19:( $i > $i > $i )]: 90.08/12.26 ( c_Empty ) ) ) @ 90.08/12.26 ( c_setsum @ c_Empty @ c_Empty ) ) ) ) ) ) ) ) = 90.08/12.26 ( X0 @ 90.08/12.26 ( ^[X8:( $i > $i > $i > $i )]: 90.08/12.26 ( X3 @ 90.08/12.26 ( ^[X9:$i]: ( c_Empty ) ) @ 90.08/12.26 ( ^[X9:$i,X10:$i,X11:( $i > $i )]: ( c_Empty ) ) ) ) @ 90.08/12.26 ( ^[X8:( ( ( $i > $i ) > $i > $i ) > $i ), 90.08/12.26 X9:( $i > $i > $i )]: 90.08/12.26 ( X1 @ 90.08/12.26 ( ^[X10:( ( ( ( $i > $i ) > $i > $i ) > $i > $i ) > $i )]: 90.08/12.26 ( c_Empty ) ) @ 90.08/12.26 c_Empty ) ) ) ) ) => 90.08/12.26 ( ( ![X4:( $i > $i > ( $i > $i ) > $i ),X5:$i, 90.08/12.26 X6:( ( ( $i > $i > $i ) > $i > $i > $i ) > $i > $i ), 90.08/12.26 X7:( ( ( $i > $i > $i ) > $i ) > $i )]: 90.08/12.26 ( ( X2 @ 90.08/12.26 ( ^[X8:( ( ( ( $i > $i ) > $i > $i ) > ( $i > $i ) > $i ) > 90.08/12.26 $i > $i > $i > $i )]: 90.08/12.26 ( c_Inj0 @ c_Empty ) ) @ 90.08/12.26 ( ^[X8:$i,X9:( $i > $i ),X10:( $i > $i ),X11:$i]: 90.08/12.26 ( c_Empty ) ) ) = 90.08/12.26 ( c_setsum @ 90.08/12.26 c_Empty @ 90.08/12.26 ( X4 @ 90.08/12.26 ( c_setsum @ 90.08/12.26 ( X4 @ 90.08/12.26 ( c_setsum @ c_Empty @ c_Empty ) @ 90.08/12.26 ( X1 @ 90.08/12.26 ( ^[X8:( ( ( ( $i > $i ) > $i > $i ) > $i > $i ) > 90.08/12.26 $i )]: 90.08/12.26 ( c_Empty ) ) @ 90.08/12.26 c_Empty ) @ 90.08/12.26 ( ^[X8:$i]: ( c_Empty ) ) ) @ 90.08/12.26 ( X3 @ 90.08/12.26 ( ^[X8:$i]: ( c_Empty ) ) @ 90.08/12.26 ( ^[X8:$i,X9:$i,X10:( $i > $i )]: 90.08/12.26 ( c_setsum @ c_Empty @ c_Empty ) ) ) ) @ 90.08/12.26 ( X2 @ 90.08/12.26 ( ^[X8:( ( ( ( $i > $i ) > $i > $i ) > ( $i > $i ) > 90.08/12.26 $i ) > 90.08/12.26 $i > $i > $i > $i )]: 90.08/12.26 ( X0 @ 90.08/12.26 ( ^[X9:( $i > $i > $i > $i )]: 90.08/12.26 ( X7 @ ( ^[X10:( $i > $i > $i )]: ( c_Empty ) ) ) ) @ 90.08/12.26 ( ^[X9:( ( ( $i > $i ) > $i > $i ) > $i ), 90.08/12.26 X10:( $i > $i > $i )]: 90.08/12.26 ( X7 @ ( ^[X11:( $i > $i > $i )]: ( c_Empty ) ) ) ) ) ) @ 90.08/12.26 ( ^[X8:$i,X9:( $i > $i ),X10:( $i > $i ),X11:$i]: 90.08/12.26 ( c_Empty ) ) ) @ 90.08/12.26 ( ^[X8:$i]: 90.08/12.26 ( X1 @ 90.08/12.26 ( ^[X9:( ( ( ( $i > $i ) > $i > $i ) > $i > $i ) > 90.08/12.26 $i )]: 90.08/12.26 ( X2 @ 90.08/12.26 ( ^[X10:( ( ( ( $i > $i ) > $i > $i ) > 90.08/12.26 ( $i > $i ) > $i ) > 90.08/12.26 $i > $i > $i > $i )]: 90.08/12.26 ( c_Empty ) ) @ 90.08/12.26 ( ^[X10:$i,X11:( $i > $i ),X12:( $i > $i ), 90.08/12.26 X13:$i]: 90.08/12.26 ( c_Empty ) ) ) ) @ 90.08/12.26 ( c_setsum @ 90.08/12.26 c_Empty @ 90.08/12.26 ( X1 @ 90.08/12.26 ( ^[X9:( ( ( ( $i > $i ) > $i > $i ) > $i > $i ) > 90.08/12.26 $i )]: 90.08/12.26 ( c_Empty ) ) @ 90.08/12.26 c_Empty ) ) ) ) ) ) ) ) => 90.08/12.26 ( ( ![X4:$i,X5:$i,X6:( $i > $i ),X7:$i]: 90.08/12.26 ( ( X1 @ 90.08/12.26 ( ^[X8:( ( ( ( $i > $i ) > $i > $i ) > $i > $i ) > $i )]: 90.08/12.26 ( c_setsum @ 90.08/12.26 ( X0 @ 90.08/12.26 ( ^[X9:( $i > $i > $i > $i )]: 90.08/12.26 ( X9 @ c_Empty @ X7 @ c_Empty ) ) @ 90.08/12.26 ( ^[X9:( ( ( $i > $i ) > $i > $i ) > $i ), 90.08/12.26 X10:( $i > $i > $i )]: 90.08/12.26 ( X3 @ 90.08/12.26 ( ^[X11:$i]: 90.08/12.26 ( X9 @ 90.08/12.26 ( ^[X12:( $i > $i ),X13:$i]: ( c_Empty ) ) ) ) @ 90.08/12.26 ( ^[X11:$i,X12:$i,X13:( $i > $i )]: 90.08/12.26 ( c_Empty ) ) ) ) ) @ 90.08/12.26 ( c_Inj0 @ c_Empty ) ) ) @ 90.08/12.26 c_Empty ) = 90.08/12.26 ( c_Inj1 @ X4 ) ) ) => 90.08/12.26 ( ( ![X4:( ( ( ( $i > $i ) > $i > $i ) > $i ) > $i ),X5:$i, 90.08/12.26 X6:( ( ( $i > $i ) > ( $i > $i ) > $i ) > ( $i > $i ) > 90.08/12.26 $i ), 90.08/12.26 X7:( $i > $i > ( $i > $i ) > $i > $i )]: 90.08/12.26 ( ( X1 @ 90.08/12.26 ( ^[X8:( ( ( ( $i > $i ) > $i > $i ) > $i > $i ) > $i )]: 90.08/12.26 ( X5 ) ) @ 90.08/12.26 ( c_Inj1 @ c_Empty ) ) = 90.08/12.26 ( c_Inj0 @ 90.08/12.26 ( X3 @ 90.08/12.26 ( ^[X8:$i]: 90.08/12.26 ( X7 @ 90.08/12.26 ( X2 @ 90.08/12.26 ( ^[X9:( ( ( ( $i > $i ) > $i > $i ) > 90.08/12.26 ( $i > $i ) > $i ) > 90.08/12.26 $i > $i > $i > $i )]: 90.08/12.26 ( X6 @ 90.08/12.26 ( ^[X10:( $i > $i ),X11:( $i > $i )]: 90.08/12.26 ( c_Empty ) ) @ 90.08/12.26 ( ^[X10:$i]: ( c_Empty ) ) ) ) @ 90.08/12.26 ( ^[X9:$i,X10:( $i > $i ),X11:( $i > $i ), 90.08/12.26 X12:$i]: 90.08/12.26 ( c_setsum @ c_Empty @ c_Empty ) ) ) @ 90.08/12.26 ( c_Inj1 @ c_Empty ) @ 90.08/12.26 ( ^[X9:$i]: 90.08/12.26 ( X2 @ 90.08/12.26 ( ^[X10:( ( ( ( $i > $i ) > $i > $i ) > 90.08/12.26 ( $i > $i ) > $i ) > 90.08/12.26 $i > $i > $i > $i )]: 90.08/12.26 ( X9 ) ) @ 90.08/12.26 ( ^[X10:$i,X11:( $i > $i ),X12:( $i > $i ), 90.08/12.26 X13:$i]: 90.08/12.26 ( X11 @ c_Empty ) ) ) ) @ 90.08/12.26 ( c_Inj0 @ c_Empty ) ) ) @ 90.08/12.26 ( ^[X8:$i,X9:$i,X10:( $i > $i )]: ( X8 ) ) ) ) ) ) => 90.08/12.26 ( ( ![X4:$i,X5:$i,X6:$i, 90.08/12.26 X7:( ( $i > ( $i > $i ) > $i > $i ) > $i > $i )]: 90.08/12.26 ( ( X0 @ 90.08/12.26 ( ^[X8:( $i > $i > $i > $i )]: ( X6 ) ) @ 90.08/12.26 ( ^[X8:( ( ( $i > $i ) > $i > $i ) > $i ), 90.08/12.26 X9:( $i > $i > $i )]: 90.08/12.26 ( X3 @ 90.08/12.26 ( ^[X10:$i]: 90.08/12.26 ( c_Inj0 @ 90.08/12.26 ( c_setsum @ 90.08/12.26 X10 @ 90.08/12.26 ( X7 @ 90.08/12.26 ( ^[X11:$i,X12:( $i > $i ),X13:$i]: 90.08/12.26 ( c_Empty ) ) @ 90.08/12.26 c_Empty ) ) ) ) @ 90.08/12.26 ( ^[X10:$i,X11:$i,X12:( $i > $i )]: 90.08/12.26 ( c_setsum @ 90.08/12.26 ( c_setsum @ 90.08/12.26 ( c_setsum @ c_Empty @ c_Empty ) @ 90.08/12.26 ( c_setsum @ c_Empty @ c_Empty ) ) @ 90.08/12.26 ( c_Inj0 @ ( X12 @ c_Empty ) ) ) ) ) ) ) = 90.08/12.26 ( X6 ) ) ) => 90.08/12.26 ( ( ![X4:$i, 90.08/12.26 X5:( ( ( $i > $i ) > $i ) > ( $i > $i > $i ) > $i ), 90.08/12.26 X6:$i,X7:( $i > ( ( $i > $i ) > $i ) > $i )]: 90.08/12.26 ( ( X0 @ 90.08/12.26 ( ^[X8:( $i > $i > $i > $i )]: 90.08/12.26 ( c_setsum @ 90.08/12.26 ( c_Inj1 @ 90.08/12.26 ( c_setsum @ 90.08/12.26 c_Empty @ 90.08/12.26 ( X1 @ 90.08/12.26 ( ^[X9:( ( ( ( $i > $i ) > $i > $i ) > 90.08/12.26 $i > $i ) > 90.08/12.26 $i )]: 90.08/12.26 ( c_Empty ) ) @ 90.08/12.26 c_Empty ) ) ) @ 90.08/12.26 ( c_Inj1 @ c_Empty ) ) ) @ 90.08/12.26 ( ^[X8:( ( ( $i > $i ) > $i > $i ) > $i ), 90.08/12.26 X9:( $i > $i > $i )]: 90.08/12.26 ( c_setsum @ 90.08/12.26 X6 @ 90.08/12.26 ( c_Inj0 @ 90.08/12.26 ( X9 @ 90.08/12.26 ( X2 @ 90.08/12.26 ( ^[X10:( ( ( ( $i > $i ) > $i > $i ) > 90.08/12.26 ( $i > $i ) > $i ) > 90.08/12.26 $i > $i > $i > $i )]: 90.08/12.26 ( c_Empty ) ) @ 90.08/12.26 ( ^[X10:$i,X11:( $i > $i ), 90.08/12.26 X12:( $i > $i ),X13:$i]: 90.08/12.26 ( c_Empty ) ) ) @ 90.08/12.26 ( X9 @ c_Empty @ c_Empty ) ) ) ) ) ) = 90.08/12.26 ( X7 @ 90.08/12.26 c_Empty @ ( ^[X8:( $i > $i )]: ( X8 @ c_Empty ) ) ) ) ) => 90.08/12.26 ( c_False ) ) ) ) ) ) ) ) ) )), 90.08/12.26 inference('cnf.neg', [status(esa)], [conj])). 90.08/12.26 thf(zip_derived_cl226, plain, 90.08/12.26 (![X9 : $i]: 90.08/12.26 ((sk__67 @ (^[Y0 : $i]: (c_Empty)) @ 90.08/12.26 (^[Y0 : $i,Y1 : $i,Y2 : $i > $i]: (c_Empty))) = (X9))), 90.08/12.26 inference('cnf', [status(esa)], [zf_stmt_0])). 90.08/12.26 thf(ax78, axiom, 90.08/12.26 (![X0:$i,X1:$i]: 90.08/12.26 ( ( c_setprod @ X0 @ X1 ) = ( c_lam @ X0 @ ( ^[X2:$i]: ( X1 ) ) ) ))). 90.08/12.26 thf(zip_derived_cl4, plain, 90.08/12.26 (![X0 : $i, X1 : $i]: 90.08/12.26 ((c_setprod @ X0 @ X1) = (c_lam @ X0 @ (^[Y0 : $i]: (X1))))), 90.08/12.26 inference('cnf', [status(esa)], [ax78])). 90.08/12.26 thf(zip_derived_cl10618, plain, 90.08/12.26 (![X1 : $i, X2 : $i]: (('#l_lift5381' @ X1 @ X2) = (X1))), 90.08/12.26 define([status(thm)])). 90.08/12.26 thf(zip_derived_cl224, plain, 90.08/12.26 (![X7 : $i, X8 : $i]: 90.08/12.26 ((sk__65 @ 90.08/12.26 (^[Y0 : ((($i > $i) > $i > $i) > $i > $i) > $i]: 90.08/12.26 (c_setsum @ 90.08/12.26 (sk__64 @ 90.08/12.26 (^[Y1 : $i > $i > $i > $i]: (Y1 @ c_Empty @ X8 @ c_Empty)) @ 90.08/12.26 (^[Y1 : (($i > $i) > $i > $i) > $i,Y2 : $i > $i > $i]: 90.08/12.26 (sk__67 @ 90.08/12.26 (^[Y3 : $i]: (Y1 @ (^[Y4 : $i > $i,Y5 : $i]: (c_Empty)))) @ 90.08/12.26 (^[Y3 : $i,Y4 : $i,Y5 : $i > $i]: (c_Empty))))) @ 90.08/12.26 (c_Inj0 @ c_Empty))) @ 90.08/12.26 c_Empty) = (c_Inj1 @ X7))), 90.08/12.26 inference('cnf', [status(esa)], [zf_stmt_0])). 90.08/12.26 thf(zip_derived_cl10728, plain, 90.08/12.26 (![X14 : $i, X15 : $i, X16 : $i > $i]: 90.08/12.26 (('#l_lift5432' @ X14 @ X15 @ X16) = (c_Empty))), 90.08/12.26 define([status(thm)])). 90.08/12.26 thf(zip_derived_cl10731, plain, 90.08/12.26 (![X9 : $i]: 90.08/12.26 ((sk__67 @ ('#l_lift5381' @ c_Empty) @ '#l_lift5432') = (X9))), 90.08/12.26 inference('lambda_lifting', [status(thm)], 90.08/12.26 [zip_derived_cl226, zip_derived_cl10618, zip_derived_cl10728])). 90.08/12.26 thf(zip_derived_cl227, plain, (~ (c_False)), 90.08/12.26 inference('cnf', [status(esa)], [zf_stmt_0])). 90.08/12.26 thf(ax5, axiom, (c_not @ ( ?[X0:$i]: ( c_In @ X0 @ c_Empty ) ))). 90.08/12.26 thf(zip_derived_cl192, plain, 90.08/12.26 ( (c_not @ (((??) @ (^[Y0 : $i]: (c_In @ Y0 @ c_Empty)))))), 90.08/12.26 inference('cnf', [status(esa)], [ax5])). 90.08/12.26 thf(ax13, axiom, 90.08/12.26 (![X0:$o]: ( ( c_not @ X0 ) <=> ( ( X0 ) => ( c_False ) ) ))). 90.08/12.26 thf(zip_derived_cl88, plain, 90.08/12.26 (![X0 : $o]: (~ (X0) | (c_False) | ~ (c_not @ X0))), 90.08/12.26 inference('cnf', [status(esa)], [ax13])). 90.08/12.26 thf(zip_derived_cl10774, plain, ($false), 90.08/12.26 inference('eprover', [status(thm)], 90.08/12.26 [zip_derived_cl2, zip_derived_cl247, zip_derived_cl163, 90.08/12.26 zip_derived_cl10731, zip_derived_cl227, zip_derived_cl192, 90.08/12.26 zip_derived_cl88])). 90.08/12.26 90.08/12.26 % SZS output end Refutation 90.08/12.26 90.08/12.26 90.08/12.26 % Terminating... 90.61/12.38 % Runner terminated. 90.61/12.40 % Zipperpin 1.5 exiting 90.61/12.40 EOF