0.00/0.04 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.00/0.08 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.TzuvD8qtVt true 0.19/0.43 % Computer : n003.cluster.edu 0.19/0.43 % Model : x86_64 x86_64 0.19/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.19/0.43 % Memory : 8046.5625MB 0.19/0.43 % OS : Linux 6.8.0-71-generic 0.19/0.43 % CPULimit : 1440 0.19/0.43 % WCLimit : 180 0.19/0.43 % DateTime : Mon Jul 27 14:19:54 UTC 2026 0.19/0.43 % CPUTime : 0.19/0.43 % Running portfolio for 1440 s 0.19/0.43 % File : /export/starexec/sandbox/benchmark/theBenchmark.p 0.19/0.44 % Number of cores: 8 0.19/0.44 % Python version: Python 3.12.3 0.19/0.45 % Running in HO mode 0.39/0.84 % Total configuration time : 828 0.39/0.84 % Estimated wc time : 1656 0.39/0.84 % Estimated cpu time (8 cpus) : 207.0 0.40/0.93 % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s 0.40/1.02 % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s 0.40/1.02 % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s 0.40/1.03 % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s 0.40/1.03 % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s 0.40/1.04 % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s 0.40/1.04 % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s 0.40/1.05 % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s 2.19/1.14 % /export/starexec/sandbox/solver/bin/lams/30_b.l.sh running for 90s 238.29/31.10 % /export/starexec/sandbox/solver/bin/lams/35_full_unif.sh running for 56s 390.82/61.13 % /export/starexec/sandbox/solver/bin/lams/15_old_s4.sh running for 30s 417.58/71.13 % /export/starexec/sandbox/solver/bin/lams/15_lifting3.sh running for 30s 489.48/81.01 % /export/starexec/sandbox/solver/bin/lams/33_shallow_sine.sh running for 66s 489.48/81.11 % /export/starexec/sandbox/solver/bin/lams/40_e_lift.sh running for 80s 489.48/81.11 % /export/starexec/sandbox/solver/bin/lams/15_lifting1.sh running for 30s 639.09/87.18 % /export/starexec/sandbox/solver/bin/lams/8_new_cnf.sh running for 16s 639.82/87.27 % /export/starexec/sandbox/solver/bin/lams/10_e_short2.sh running for 20s 669.09/91.10 % /export/starexec/sandbox/solver/bin/lams/8_add_var_l_av.sh running for 16s 713.01/91.17 % /export/starexec/sandbox/solver/bin/lams/8_new_sh_or.sh running for 16s 628.12/91.25 % /export/starexec/sandbox/solver/bin/lams/30_old_zip1.sh running for 36s 785.76/101.18 % /export/starexec/sandbox/solver/bin/lams/10_shallow_lift.sh running for 30s 816.58/105.05 % Solved by lams/15_lifting1.sh. 816.58/105.05 % done 583 iterations in 23.853s 816.58/105.05 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p' 816.58/105.05 % SZS output start Refutation 816.58/105.05 thf(c_TransSet_type, type, c_TransSet: $i > $o). 816.58/105.05 thf(c_and_type, type, c_and: $o > $o > $o). 816.58/105.05 thf(c_lam_type, type, c_lam: $i > ($i > $i) > $i). 816.58/105.05 thf(c_Power_type, type, c_Power: $i > $i). 816.58/105.05 thf(c_Subq_type, type, c_Subq: $i > $i > $o). 816.58/105.05 thf('#l_lift27_type', type, '#l_lift27': ($i > $i) > $i > $i). 816.58/105.05 thf(c_Sep_type, type, c_Sep: $i > ($i > $o) > $i). 816.58/105.05 thf(c_In_rec_poly_i_type, type, c_In_rec_poly_i: ($i > ($i > $i) > $i) > $i > $i). 816.58/105.05 thf(c_famunion_type, type, c_famunion: $i > ($i > $i) > $i). 816.58/105.05 thf(c_SNoEq__type, type, c_SNoEq_: $i > $i > $i > $o). 816.58/105.05 thf(c_Empty_type, type, c_Empty: $i). 816.58/105.05 thf(sk__48_type, type, sk__48: $i > $i > $i). 816.58/105.05 thf(c_ordsucc_type, type, c_ordsucc: $i > $i). 816.58/105.05 thf(c_exactly2_type, type, c_exactly2: $i > $o). 816.58/105.05 thf(c_In_type, type, c_In: $i > $i > $o). 816.58/105.05 thf('#l_lift8_type', type, '#l_lift8': $i > $i > $i). 816.58/105.05 thf(c_setsum_type, type, c_setsum: $i > $i > $i). 816.58/105.05 thf(c_SNo_type, type, c_SNo: $i > $o). 816.58/105.05 thf(c_not_type, type, c_not: $o > $o). 816.58/105.05 thf('#l_lift1_type', type, '#l_lift1': $i > $i > $o). 816.58/105.05 thf(c_binintersect_type, type, c_binintersect: $i > $i > $i). 816.58/105.05 thf(c_V__type, type, c_V_: $i > $i). 816.58/105.05 thf(c_setprod_type, type, c_setprod: $i > $i > $i). 816.58/105.05 thf(c_False_type, type, c_False: $o). 816.58/105.05 thf(c_binrep_type, type, c_binrep: $i > $i > $i). 816.58/105.05 thf(c_PNoEq__type, type, c_PNoEq_: $i > ($i > $o) > ($i > $o) > $o). 816.58/105.05 thf(c_Repl_type, type, c_Repl: $i > ($i > $i) > $i). 816.58/105.05 thf(ax13, axiom, 816.58/105.05 (![X0:$o]: ( ( c_not @ X0 ) <=> ( ( X0 ) => ( c_False ) ) ))). 816.58/105.05 thf(zip_derived_cl57, plain, (![X0 : $o]: ( (c_not @ X0) | (X0))), 816.58/105.05 inference('cnf', [status(esa)], [ax13])). 816.58/105.05 thf(ax2, axiom, (![X0:$o]: ( ( c_not @ ( c_not @ X0 ) ) => ( X0 ) ))). 816.58/105.05 thf(zip_derived_cl293, plain, 816.58/105.05 (![X0 : $o]: ( (X0) | ~ (c_not @ (c_not @ X0)))), 816.58/105.05 inference('cnf', [status(esa)], [ax2])). 816.58/105.05 thf(zip_derived_cl426, plain, 816.58/105.05 (![X0 : $o]: (~ (c_not @ ($true)) | (X0) | (X0))), 816.58/105.05 inference('sup-', [status(thm)], [zip_derived_cl57, zip_derived_cl293])). 816.58/105.05 thf(zip_derived_cl430, plain, (![X0 : $o]: ( (X0) | ~ (c_not @ ($true)))), 816.58/105.05 inference('simplify', [status(thm)], [zip_derived_cl426])). 816.58/105.05 thf(ax17, axiom, 816.58/105.05 (![X0:$i,X1:$i]: 816.58/105.05 ( ( c_Subq @ X0 @ X1 ) <=> 816.58/105.05 ( ![X2:$i]: ( ( c_In @ X2 @ X0 ) => ( c_In @ X2 @ X1 ) ) ) ))). 816.58/105.05 thf(zip_derived_cl291, plain, 816.58/105.05 (![X0 : $i, X1 : $i]: 816.58/105.05 ( (c_Subq @ X0 @ X1) | ~ (c_In @ (sk__48 @ X1 @ X0) @ X1))), 816.58/105.05 inference('cnf', [status(esa)], [ax17])). 816.58/105.05 thf(zip_derived_cl292, plain, 816.58/105.05 (![X0 : $i, X1 : $i]: 816.58/105.05 ( (c_Subq @ X0 @ X1) | (c_In @ (sk__48 @ X1 @ X0) @ X0))), 816.58/105.05 inference('cnf', [status(esa)], [ax17])). 816.58/105.05 thf(zip_derived_cl3066, plain, 816.58/105.05 (![X0 : $i]: ( (c_Subq @ X0 @ X0) | (c_Subq @ X0 @ X0))), 816.58/105.05 inference('sup+', [status(thm)], [zip_derived_cl291, zip_derived_cl292])). 816.58/105.05 thf(zip_derived_cl3067, plain, (![X0 : $i]: (c_Subq @ X0 @ X0)), 816.58/105.05 inference('simplify', [status(thm)], [zip_derived_cl3066])). 816.58/105.05 thf(zip_derived_cl57, plain, (![X0 : $o]: ( (c_not @ X0) | (X0))), 816.58/105.05 inference('cnf', [status(esa)], [ax13])). 816.58/105.05 thf(conj, conjecture, 816.58/105.05 (c_not @ 816.58/105.05 ( ![X0:( $i > $o ),X1:( $i > $i )]: 816.58/105.05 ( c_and @ 816.58/105.05 ( ( ( X0 @ 816.58/105.05 ( X1 @ 816.58/105.05 ( c_binintersect @ 816.58/105.05 ( X1 @ ( c_Power @ c_Empty ) ) @ 816.58/105.05 ( X1 @ 816.58/105.05 ( c_binrep @ 816.58/105.05 ( c_Power @ ( c_Power @ ( c_Power @ c_Empty ) ) ) @ 816.58/105.05 c_Empty ) ) ) ) ) => 816.58/105.05 ( ( c_TransSet @ ( X1 @ c_Empty ) ) => 816.58/105.05 ( ![X2:$i]: 816.58/105.05 ( ( c_In @ X2 @ c_Empty ) => 816.58/105.05 ( ?[X3:$i]: 816.58/105.05 ( c_and @ 816.58/105.05 ( c_Subq @ X3 @ X2 ) @ 816.58/105.05 ( c_exactly2 @ ( c_ordsucc @ ( X1 @ X3 ) ) ) ) ) ) ) ) ) => 816.58/105.05 ( ?[X2:$i]: 816.58/105.05 ( c_and @ 816.58/105.05 ( ?[X3:$i]: 816.58/105.05 ( c_and @ 816.58/105.05 ( c_Subq @ X3 @ X2 ) @ 816.58/105.05 ( ( ( X2 ) = ( X1 @ X2 ) ) => 816.58/105.05 ( ?[X4:$i]: 816.58/105.05 ( c_and @ 816.58/105.05 ( c_Subq @ X4 @ X2 ) @ 816.58/105.05 ( c_not @ 816.58/105.05 ( X0 @ 816.58/105.05 ( c_setprod @ 816.58/105.05 X3 @ 816.58/105.05 ( c_binrep @ 816.58/105.05 ( c_Power @ 816.58/105.05 ( c_binrep @ 816.58/105.05 ( c_Power @ ( c_Power @ c_Empty ) ) @ 816.58/105.05 c_Empty ) ) @ 816.58/105.05 ( c_Power @ ( c_Power @ c_Empty ) ) ) ) ) ) ) ) ) ) ) @ 816.58/105.05 ( c_not @ ( c_SNo @ X2 ) ) ) ) ) @ 816.58/105.05 ( c_not @ 816.58/105.05 ( X0 @ 816.58/105.05 ( X1 @ 816.58/105.05 ( X1 @ 816.58/105.05 ( X1 @ 816.58/105.05 ( c_binrep @ 816.58/105.05 ( c_binrep @ 816.58/105.05 ( c_Power @ 816.58/105.05 ( c_binrep @ 816.58/105.05 ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ 816.58/105.05 ( c_Power @ c_Empty ) ) @ 816.58/105.05 c_Empty ) ) ) ) ) ) ) ))). 816.58/105.05 thf(zf_stmt_0, negated_conjecture, 816.58/105.05 (~( c_not @ 816.58/105.05 ( ![X0:( $i > $o ),X1:( $i > $i )]: 816.58/105.05 ( c_and @ 816.58/105.05 ( ( ( X0 @ 816.58/105.05 ( X1 @ 816.58/105.05 ( c_binintersect @ 816.58/105.05 ( X1 @ ( c_Power @ c_Empty ) ) @ 816.58/105.05 ( X1 @ 816.58/105.05 ( c_binrep @ 816.58/105.05 ( c_Power @ ( c_Power @ ( c_Power @ c_Empty ) ) ) @ 816.58/105.05 c_Empty ) ) ) ) ) => 816.58/105.05 ( ( c_TransSet @ ( X1 @ c_Empty ) ) => 816.58/105.05 ( ![X2:$i]: 816.58/105.05 ( ( c_In @ X2 @ c_Empty ) => 816.58/105.05 ( ?[X3:$i]: 816.58/105.05 ( c_and @ 816.58/105.05 ( c_Subq @ X3 @ X2 ) @ 816.58/105.05 ( c_exactly2 @ ( c_ordsucc @ ( X1 @ X3 ) ) ) ) ) ) ) ) ) => 816.58/105.05 ( ?[X2:$i]: 816.58/105.05 ( c_and @ 816.58/105.05 ( ?[X3:$i]: 816.58/105.05 ( c_and @ 816.58/105.05 ( c_Subq @ X3 @ X2 ) @ 816.58/105.05 ( ( ( X2 ) = ( X1 @ X2 ) ) => 816.58/105.05 ( ?[X4:$i]: 816.58/105.05 ( c_and @ 816.58/105.05 ( c_Subq @ X4 @ X2 ) @ 816.58/105.05 ( c_not @ 816.58/105.05 ( X0 @ 816.58/105.05 ( c_setprod @ 816.58/105.05 X3 @ 816.58/105.05 ( c_binrep @ 816.58/105.05 ( c_Power @ 816.58/105.05 ( c_binrep @ 816.58/105.05 ( c_Power @ ( c_Power @ c_Empty ) ) @ 816.58/105.05 c_Empty ) ) @ 816.58/105.05 ( c_Power @ ( c_Power @ c_Empty ) ) ) ) ) ) ) ) ) ) ) @ 816.58/105.05 ( c_not @ ( c_SNo @ X2 ) ) ) ) ) @ 816.58/105.05 ( c_not @ 816.58/105.05 ( X0 @ 816.58/105.05 ( X1 @ 816.58/105.05 ( X1 @ 816.58/105.05 ( X1 @ 816.58/105.05 ( c_binrep @ 816.58/105.05 ( c_binrep @ 816.58/105.05 ( c_Power @ 816.58/105.05 ( c_binrep @ 816.58/105.05 ( c_Power @ ( c_Power @ c_Empty ) ) @ c_Empty ) ) @ 816.58/105.05 ( c_Power @ c_Empty ) ) @ 816.58/105.05 c_Empty ) ) ) ) ) ) ) ) )), 816.58/105.05 inference('cnf.neg', [status(esa)], [conj])). 816.58/105.05 thf(zip_derived_cl322, plain, 816.58/105.05 (~ (c_not @ 816.58/105.05 (((!!) @ (^[Y0 : $i > $o]: 816.58/105.05 (((!!) @ (^[Y1 : $i > $i]: 816.58/105.05 (c_and @ 816.58/105.05 (((((Y0 @ 816.58/105.05 (Y1 @ 816.58/105.05 (c_binintersect @ 816.58/105.05 (Y1 @ (c_Power @ c_Empty)) @ 816.58/105.05 (Y1 @ 816.58/105.05 (c_binrep @ 816.58/105.05 (c_Power @ 816.58/105.05 (c_Power @ (c_Power @ c_Empty))) @ 816.58/105.05 c_Empty))))) => 816.58/105.05 (((c_TransSet @ (Y1 @ c_Empty)) => 816.58/105.05 (((!!) @ (^[Y2 : $i]: 816.58/105.05 (((c_In @ Y2 @ c_Empty) => 816.58/105.05 (((??) @ (^[Y3 : $i]: 816.58/105.05 (c_and @ 816.58/105.05 (c_Subq @ 816.58/105.05 Y3 @ Y2) @ 816.58/105.05 (c_exactly2 @ 816.58/105.05 (c_ordsucc @ 816.58/105.05 ( 816.58/105.05 Y1 @ Y3)))))))))))))))) => 816.58/105.05 (((??) @ (^[Y2 : $i]: 816.58/105.05 (c_and @ 816.58/105.05 (((??) @ (^[Y3 : $i]: 816.58/105.05 (c_and @ 816.58/105.05 (c_Subq @ Y3 @ 816.58/105.05 Y2) @ 816.58/105.05 (((((Y2) = 816.58/105.05 (Y1 @ Y2))) => 816.58/105.05 (((??) @ ( 816.58/105.05 ^[Y4 : $i]: 816.58/105.05 (c_and @ 816.58/105.05 ( 816.58/105.05 c_Subq @ 816.58/105.05 Y4 @ Y2) @ 816.58/105.05 ( 816.58/105.05 c_not @ 816.58/105.05 ( 816.58/105.05 Y0 @ 816.58/105.05 ( 816.58/105.05 c_setprod @ 816.58/105.05 Y3 @ 816.58/105.05 ( 816.58/105.05 c_binrep @ 816.58/105.05 ( 816.58/105.05 c_Power @ 816.58/105.05 ( 816.58/105.05 c_binrep @ 816.58/105.05 ( 816.58/105.05 c_Power @ 816.58/105.05 ( 816.58/105.05 c_Power @ 816.58/105.05 c_Empty)) @ 816.58/105.05 c_Empty)) @ 816.58/105.05 ( 816.58/105.05 c_Power @ 816.58/105.05 ( 816.58/105.05 c_Power @ 816.58/105.05 c_Empty)))))))))))))))) @ 816.58/105.05 (c_not @ (c_SNo @ Y2)))))))) @ 816.58/105.05 (c_not @ 816.58/105.05 (Y0 @ 816.58/105.05 (Y1 @ 816.58/105.05 (Y1 @ 816.58/105.05 (Y1 @ 816.58/105.05 (c_binrep @ 816.58/105.05 (c_binrep @ 816.58/105.05 (c_Power @ 816.58/105.05 (c_binrep @ 816.58/105.05 (c_Power @ (c_Power @ c_Empty)) @ 816.58/105.05 c_Empty)) @ 816.58/105.05 (c_Power @ c_Empty)) @ 816.58/105.05 c_Empty))))))))))))))), 816.58/105.05 inference('cnf', [status(esa)], [zf_stmt_0])). 816.58/105.05 thf(zip_derived_cl6642, plain, 816.58/105.05 ( (((!!) @ (^[Y0 : $i > $o]: 816.58/105.05 (((!!) @ (^[Y1 : $i > $i]: 816.58/105.05 (c_and @ 816.58/105.05 (((((Y0 @ 816.58/105.05 (Y1 @ 816.58/105.05 (c_binintersect @ 816.58/105.05 (Y1 @ (c_Power @ c_Empty)) @ 816.58/105.05 (Y1 @ 816.58/105.05 (c_binrep @ 816.58/105.05 (c_Power @ 816.58/105.05 (c_Power @ (c_Power @ c_Empty))) @ 816.58/105.05 c_Empty))))) => 816.58/105.05 (((c_TransSet @ (Y1 @ c_Empty)) => 816.58/105.05 (((!!) @ (^[Y2 : $i]: 816.58/105.05 (((c_In @ Y2 @ c_Empty) => 816.58/105.05 (((??) @ (^[Y3 : $i]: 816.58/105.05 (c_and @ 816.58/105.05 (c_Subq @ 816.58/105.06 Y3 @ Y2) @ 816.58/105.06 (c_exactly2 @ 816.58/105.06 (c_ordsucc @ 816.58/105.06 (Y1 @ Y3)))))))))))))))) => 816.58/105.06 (((??) @ (^[Y2 : $i]: 816.58/105.06 (c_and @ 816.58/105.06 (((??) @ (^[Y3 : $i]: 816.58/105.06 (c_and @ 816.58/105.06 (c_Subq @ Y3 @ Y2) @ 816.58/105.06 (((((Y2) = (Y1 @ 816.58/105.06 Y2))) => 816.58/105.06 (((??) @ ( 816.58/105.06 ^[Y4 : $i]: 816.58/105.06 (c_and @ 816.58/105.06 (c_Subq @ 816.58/105.06 Y4 @ Y2) @ 816.58/105.06 (c_not @ 816.58/105.06 (Y0 @ 816.58/105.06 ( 816.58/105.06 c_setprod @ 816.58/105.06 Y3 @ 816.58/105.06 ( 816.58/105.06 c_binrep @ 816.58/105.06 ( 816.58/105.06 c_Power @ 816.58/105.06 ( 816.58/105.06 c_binrep @ 816.58/105.06 ( 816.58/105.06 c_Power @ 816.58/105.06 ( 816.58/105.06 c_Power @ 816.58/105.06 c_Empty)) @ 816.58/105.06 c_Empty)) @ 816.58/105.06 ( 816.58/105.06 c_Power @ 816.58/105.06 ( 816.58/105.06 c_Power @ 816.58/105.06 c_Empty)))))))))))))))) @ 816.58/105.06 (c_not @ (c_SNo @ Y2)))))))) @ 816.58/105.06 (c_not @ 816.58/105.06 (Y0 @ 816.58/105.06 (Y1 @ 816.58/105.06 (Y1 @ 816.58/105.06 (Y1 @ 816.58/105.06 (c_binrep @ 816.58/105.06 (c_binrep @ 816.58/105.06 (c_Power @ 816.58/105.06 (c_binrep @ 816.58/105.06 (c_Power @ (c_Power @ c_Empty)) @ 816.58/105.06 c_Empty)) @ 816.58/105.06 (c_Power @ c_Empty)) @ 816.58/105.06 c_Empty)))))))))))))), 816.58/105.06 inference('sup-', [status(thm)], [zip_derived_cl57, zip_derived_cl322])). 816.58/105.06 thf(zip_derived_cl6658, plain, 816.58/105.06 (![X0 : $i > $o, X1 : $i > $i]: 816.58/105.06 (c_and @ 816.58/105.06 (((((X0 @ 816.58/105.06 (X1 @ 816.58/105.06 (c_binintersect @ (X1 @ (c_Power @ c_Empty)) @ 816.58/105.06 (X1 @ 816.58/105.06 (c_binrep @ (c_Power @ (c_Power @ (c_Power @ c_Empty))) @ 816.58/105.06 c_Empty))))) => 816.58/105.06 (((c_TransSet @ (X1 @ c_Empty)) => 816.58/105.06 (((!!) @ (^[Y0 : $i]: 816.58/105.06 (((c_In @ Y0 @ c_Empty) => 816.58/105.06 (((??) @ (^[Y1 : $i]: 816.58/105.06 (c_and @ (c_Subq @ Y1 @ Y0) @ 816.58/105.06 (c_exactly2 @ 816.58/105.06 (c_ordsucc @ (X1 @ Y1)))))))))))))))) => 816.58/105.06 (((??) @ (^[Y0 : $i]: 816.58/105.06 (c_and @ 816.58/105.06 (((??) @ (^[Y1 : $i]: 816.58/105.06 (c_and @ (c_Subq @ Y1 @ Y0) @ 816.58/105.06 (((((Y0) = (X1 @ Y0))) => 816.58/105.06 (((??) @ (^[Y2 : $i]: 816.58/105.06 (c_and @ 816.58/105.06 (c_Subq @ Y2 @ Y0) @ 816.58/105.06 (c_not @ 816.58/105.06 (X0 @ 816.58/105.06 (c_setprod @ Y1 @ 816.58/105.06 (c_binrep @ 816.58/105.06 (c_Power @ 816.58/105.06 (c_binrep @ 816.58/105.06 (c_Power @ 816.58/105.06 (c_Power @ c_Empty)) @ 816.58/105.06 c_Empty)) @ 816.58/105.06 (c_Power @ 816.58/105.06 (c_Power @ c_Empty)))))))))))))))) @ 816.58/105.06 (c_not @ (c_SNo @ Y0)))))))) @ 816.58/105.06 (c_not @ 816.58/105.06 (X0 @ 816.58/105.06 (X1 @ 816.58/105.06 (X1 @ 816.58/105.06 (X1 @ 816.58/105.06 (c_binrep @ 816.58/105.06 (c_binrep @ 816.58/105.06 (c_Power @ 816.58/105.06 (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ 816.58/105.06 (c_Power @ c_Empty)) @ 816.58/105.06 c_Empty)))))))), 816.58/105.06 inference('cnf_otf', [status(thm)], [zip_derived_cl6642])). 816.58/105.06 thf(ax68, axiom, 816.58/105.06 (( c_V_ ) = 816.58/105.06 ( c_In_rec_poly_i @ 816.58/105.06 ( ^[X0:$i,X1:( $i > $i )]: 816.58/105.06 ( c_famunion @ X0 @ ( ^[X2:$i]: ( c_Power @ ( X1 @ X2 ) ) ) ) ) ))). 816.58/105.06 thf(zip_derived_cl223, plain, 816.58/105.06 (((c_V_) 816.58/105.06 = (c_In_rec_poly_i @ 816.58/105.06 (^[Y0 : $i,Y1 : $i > $i]: 816.58/105.06 (c_famunion @ Y0 @ (^[Y2 : $i]: (c_Power @ (Y1 @ Y2)))))))), 816.58/105.06 inference('cnf', [status(esa)], [ax68])). 816.58/105.06 thf(zip_derived_cl224, plain, 816.58/105.06 (![X1 : $i > $i, X2 : $i]: 816.58/105.06 (('#l_lift27' @ X1 @ X2) = (c_Power @ (X1 @ X2)))), 816.58/105.06 define([status(thm)])). 816.58/105.06 thf(zip_derived_cl224, plain, 816.58/105.06 (![X1 : $i > $i, X2 : $i]: 816.58/105.06 (('#l_lift27' @ X1 @ X2) = (c_Power @ (X1 @ X2)))), 816.58/105.06 define([status(thm)])). 816.58/105.06 thf(ax76, axiom, 816.58/105.06 (![X0:$i,X1:$i]: 816.58/105.06 ( ( c_binrep @ X0 @ X1 ) = ( c_setsum @ X0 @ ( c_Power @ X1 ) ) ))). 816.58/105.06 thf(zip_derived_cl76, plain, 816.58/105.06 (![X0 : $i, X1 : $i]: 816.58/105.06 ((c_binrep @ X0 @ X1) = (c_setsum @ X0 @ (c_Power @ X1)))), 816.58/105.06 inference('cnf', [status(esa)], [ax76])). 816.58/105.06 thf(ax77, axiom, 816.58/105.06 (![X0:$i,X1:( $i > $i )]: 816.58/105.06 ( ( c_lam @ X0 @ X1 ) = 816.58/105.06 ( c_famunion @ 816.58/105.06 X0 @ 816.58/105.06 ( ^[X2:$i]: 816.58/105.06 ( c_Repl @ ( X1 @ X2 ) @ ( ^[X3:$i]: ( c_setsum @ X2 @ X3 ) ) ) ) ) ))). 816.58/105.06 thf(zip_derived_cl51, plain, 816.58/105.06 (![X0 : $i, X1 : $i > $i]: 816.58/105.06 ((c_lam @ X0 @ X1) 816.58/105.06 = (c_famunion @ X0 @ 816.58/105.06 (^[Y0 : $i]: 816.58/105.06 (c_Repl @ (X1 @ Y0) @ (^[Y1 : $i]: (c_setsum @ Y0 @ Y1))))))), 816.58/105.06 inference('cnf', [status(esa)], [ax77])). 816.58/105.06 thf(zip_derived_cl52, plain, 816.58/105.06 (![X2 : $i, X3 : $i]: (('#l_lift8' @ X2 @ X3) = (c_setsum @ X2 @ X3))), 816.58/105.06 define([status(thm)])). 816.58/105.06 thf(zip_derived_cl1238, plain, 816.58/105.06 (![X0 : $i, X1 : $i]: 816.58/105.06 ((c_binrep @ X0 @ X1) = ('#l_lift8' @ X0 @ (c_Power @ X1)))), 816.58/105.06 inference('demod', [status(thm)], [zip_derived_cl76, zip_derived_cl52])). 816.58/105.06 thf(ax54, axiom, 816.58/105.06 (![X0:$i,X1:$i]: 816.58/105.06 ( ( c_binintersect @ X0 @ X1 ) = 816.58/105.06 ( c_Sep @ X0 @ ( ^[X2:$i]: ( c_In @ X2 @ X1 ) ) ) ))). 816.58/105.06 thf(zip_derived_cl227, plain, 816.58/105.06 (![X0 : $i, X1 : $i]: 816.58/105.06 ((c_binintersect @ X0 @ X1) 816.58/105.06 = (c_Sep @ X0 @ (^[Y0 : $i]: (c_In @ Y0 @ X1))))), 816.58/105.06 inference('cnf', [status(esa)], [ax54])). 816.58/105.06 thf(ax98, axiom, 816.58/105.06 (![X0:$i,X1:$i,X2:$i]: 816.58/105.06 ( ( c_SNoEq_ @ X0 @ X1 @ X2 ) <=> 816.58/105.06 ( c_PNoEq_ @ 816.58/105.06 X0 @ ( ^[X3:$i]: ( c_In @ X3 @ X1 ) ) @ 816.58/105.06 ( ^[X3:$i]: ( c_In @ X3 @ X2 ) ) ) ))). 816.58/105.06 thf(zip_derived_cl4, plain, 816.58/105.06 (![X0 : $i, X1 : $i, X2 : $i]: 816.58/105.06 ( (c_PNoEq_ @ X0 @ (^[Y0 : $i]: (c_In @ Y0 @ X1)) @ 816.58/105.06 (^[Y0 : $i]: (c_In @ Y0 @ X2))) 816.58/105.06 | ~ (c_SNoEq_ @ X0 @ X1 @ X2))), 816.58/105.06 inference('cnf', [status(esa)], [ax98])). 816.58/105.06 thf(zip_derived_cl5, plain, 816.58/105.06 (![X1 : $i, X3 : $i]: (('#l_lift1' @ X1 @ X3) = (c_In @ X3 @ X1))), 816.58/105.06 define([status(thm)])). 816.58/105.06 thf(zip_derived_cl228, plain, 816.58/105.06 (![X0 : $i, X1 : $i]: 816.58/105.06 ((c_binintersect @ X0 @ X1) = (c_Sep @ X0 @ ('#l_lift1' @ X1)))), 816.58/105.06 inference('lambda_lifting', [status(thm)], 816.58/105.06 [zip_derived_cl227, zip_derived_cl5])). 816.58/105.06 thf(zip_derived_cl224, plain, 816.58/105.06 (![X1 : $i > $i, X2 : $i]: 816.58/105.06 (('#l_lift27' @ X1 @ X2) = (c_Power @ (X1 @ X2)))), 816.58/105.06 define([status(thm)])). 816.58/105.06 thf(zip_derived_cl1238, plain, 816.58/105.06 (![X0 : $i, X1 : $i]: 816.58/105.06 ((c_binrep @ X0 @ X1) = ('#l_lift8' @ X0 @ (c_Power @ X1)))), 816.58/105.06 inference('demod', [status(thm)], [zip_derived_cl76, zip_derived_cl52])). 816.58/105.06 thf(zip_derived_cl224, plain, 816.58/105.06 (![X1 : $i > $i, X2 : $i]: 816.58/105.06 (('#l_lift27' @ X1 @ X2) = (c_Power @ (X1 @ X2)))), 816.58/105.06 define([status(thm)])). 816.58/105.06 thf(zip_derived_cl1238, plain, 816.58/105.06 (![X0 : $i, X1 : $i]: 816.58/105.06 ((c_binrep @ X0 @ X1) = ('#l_lift8' @ X0 @ (c_Power @ X1)))), 816.58/105.06 inference('demod', [status(thm)], [zip_derived_cl76, zip_derived_cl52])). 816.58/105.06 thf(zip_derived_cl224, plain, 816.58/105.06 (![X1 : $i > $i, X2 : $i]: 816.58/105.06 (('#l_lift27' @ X1 @ X2) = (c_Power @ (X1 @ X2)))), 816.58/105.06 define([status(thm)])). 816.58/105.06 thf(zip_derived_cl1238, plain, 816.58/105.06 (![X0 : $i, X1 : $i]: 816.58/105.06 ((c_binrep @ X0 @ X1) = ('#l_lift8' @ X0 @ (c_Power @ X1)))), 816.58/105.06 inference('demod', [status(thm)], [zip_derived_cl76, zip_derived_cl52])). 816.58/105.06 thf(zip_derived_cl6659, plain, 816.58/105.06 (![X0 : $i > $o, X1 : $i > $i]: 816.58/105.06 (c_and @ 816.58/105.06 (((((X0 @ 816.58/105.06 (X1 @ 816.58/105.06 (c_Sep @ (X1 @ (c_Power @ c_Empty)) @ 816.58/105.06 ('#l_lift1' @ 816.58/105.06 (X1 @ 816.58/105.06 ('#l_lift8' @ 816.58/105.06 ('#l_lift27' @ ('#l_lift27' @ c_Power) @ c_Empty) @ 816.58/105.06 (c_Power @ c_Empty))))))) => 816.58/105.06 (((c_TransSet @ (X1 @ c_Empty)) => 816.58/105.06 (((!!) @ (^[Y0 : $i]: 816.58/105.06 (((c_In @ Y0 @ c_Empty) => 816.58/105.06 (((??) @ (^[Y1 : $i]: 816.58/105.06 (c_and @ (c_Subq @ Y1 @ Y0) @ 816.58/105.06 (c_exactly2 @ 816.58/105.06 (c_ordsucc @ (X1 @ Y1)))))))))))))))) => 816.58/105.06 (((??) @ (^[Y0 : $i]: 816.58/105.06 (c_and @ 816.58/105.06 (((??) @ (^[Y1 : $i]: 816.58/105.06 (c_and @ (c_Subq @ Y1 @ Y0) @ 816.58/105.06 (((((Y0) = (X1 @ Y0))) => 816.58/105.06 (((??) @ (^[Y2 : $i]: 816.58/105.06 (c_and @ 816.58/105.06 (c_Subq @ Y2 @ Y0) @ 816.58/105.06 (c_not @ 816.58/105.06 (X0 @ 816.58/105.06 (c_setprod @ Y1 @ 816.58/105.06 (c_binrep @ 816.58/105.06 (c_Power @ 816.58/105.06 (c_binrep @ 816.58/105.06 (c_Power @ 816.58/105.06 (c_Power @ c_Empty)) @ 816.58/105.06 c_Empty)) @ 816.58/105.06 (c_Power @ 816.58/105.06 (c_Power @ c_Empty)))))))))))))))) @ 816.58/105.06 (c_not @ (c_SNo @ Y0)))))))) @ 816.58/105.06 (c_not @ 816.58/105.06 (X0 @ 816.58/105.06 (X1 @ 816.58/105.06 (X1 @ 816.58/105.06 (X1 @ 816.58/105.06 ('#l_lift8' @ 816.58/105.06 ('#l_lift8' @ 816.58/105.06 ('#l_lift27' @ 816.58/105.06 ('#l_lift8' @ ('#l_lift27' @ c_Power @ c_Empty)) @ 816.58/105.06 (c_Power @ c_Empty)) @ 816.58/105.06 ('#l_lift27' @ c_Power @ c_Empty)) @ 816.58/105.06 (c_Power @ c_Empty))))))))), 816.58/105.06 inference('demod', [status(thm)], 816.58/105.06 [zip_derived_cl6658, zip_derived_cl224, zip_derived_cl224, 816.58/105.06 zip_derived_cl1238, zip_derived_cl228, zip_derived_cl224, 816.58/105.06 zip_derived_cl1238, zip_derived_cl224, zip_derived_cl1238, 816.58/105.06 zip_derived_cl224, zip_derived_cl1238])). 816.58/105.06 thf(ax14, axiom, 816.58/105.06 (![X0:$o,X1:$o]: 816.58/105.06 ( ( c_and @ X0 @ X1 ) <=> 816.58/105.06 ( ![X2:$o]: ( ( ( X0 ) => ( ( X1 ) => ( X2 ) ) ) => ( X2 ) ) ) ))). 816.58/105.06 thf(zip_derived_cl323, plain, 816.58/105.06 (![X0 : $o, X1 : $o, X2 : $o]: ( (X0) | (X1) | ~ (c_and @ X2 @ X0))), 816.58/105.06 inference('cnf', [status(esa)], [ax14])). 816.58/105.06 thf(zip_derived_cl431, plain, 816.58/105.06 (![X0 : $o, X1 : $o]: (~ (c_and @ X1 @ X0) | (X0))), 816.58/105.06 inference('condensation', [status(thm)], [zip_derived_cl323])). 816.58/105.06 thf(zip_derived_cl6660, plain, 816.58/105.06 (![X0 : $i > $o, X1 : $i > $i]: 816.58/105.06 (c_not @ 816.58/105.06 (X0 @ 816.58/105.06 (X1 @ 816.58/105.06 (X1 @ 816.58/105.06 (X1 @ 816.58/105.06 ('#l_lift8' @ 816.58/105.06 ('#l_lift8' @ 816.58/105.06 ('#l_lift27' @ 816.58/105.06 ('#l_lift8' @ ('#l_lift27' @ c_Power @ c_Empty)) @ 816.58/105.06 (c_Power @ c_Empty)) @ 816.58/105.06 ('#l_lift27' @ c_Power @ c_Empty)) @ 816.58/105.06 (c_Power @ c_Empty)))))))), 816.58/105.06 inference('sup-', [status(thm)], [zip_derived_cl6659, zip_derived_cl431])). 816.58/105.06 thf(zip_derived_cl8002, plain, ( (c_not @ ($true))), 816.58/105.06 inference('sup+', [status(thm)], [zip_derived_cl3067, zip_derived_cl6660])). 816.58/105.06 thf(zip_derived_cl8513, plain, (![X0 : $o]: (X0)), 816.58/105.06 inference('demod', [status(thm)], [zip_derived_cl430, zip_derived_cl8002])). 816.58/105.06 thf(zip_derived_cl8514, plain, ($false), 816.58/105.06 inference('flex_resolve', [status(thm)], [zip_derived_cl8513])). 816.58/105.06 816.58/105.06 % SZS output end Refutation 816.58/105.06 816.58/105.06 816.58/105.06 % Terminating... 714.03/105.12 % Runner terminated. 714.03/105.15 % Zipperpin 1.5 exiting 714.03/105.17 EOF