%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SCT097-1 : TPTP v9.2.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.VeXyTGbyey true
% Computer : n023.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Oct 2 04:50:48 PM UTC 2025
% Result : Unsatisfiable 96.50s 14.49s
% Output : Refutation 96.50s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SCT097-1 : TPTP v9.2.0. Released v4.1.0.
% 0.07/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.VeXyTGbyey true
% 0.15/0.35 % Computer : n023.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 : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Wed Oct 1 15:12:53 EDT 2025
% 0.15/0.35 % CPUTime :
% 0.15/0.35 % Running portfolio for 300 s
% 0.15/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/0.35 % Number of cores: 8
% 0.15/0.35 % Python version: Python 3.6.8
% 0.15/0.35 % Running in FO mode
% 0.57/0.65 % Total configuration time : 435
% 0.57/0.65 % Estimated wc time : 1092
% 0.57/0.65 % Estimated cpu time (7 cpus) : 156.0
% 0.58/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.58/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.58/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.58/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.58/0.79 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.58/0.79 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.58/0.80 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 96.50/14.49 % Solved by fo/fo6_bce.sh.
% 96.50/14.49 % BCE start: 1345
% 96.50/14.49 % BCE eliminated: 376
% 96.50/14.49 % PE start: 969
% 96.50/14.49 logic: eq
% 96.50/14.49 % PE eliminated: 35
% 96.50/14.49 % done 1857 iterations in 13.694s
% 96.50/14.49 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 96.50/14.49 % SZS output start Refutation
% 96.50/14.49 thf(v_Lab_____type, type, v_Lab____: $i).
% 96.50/14.49 thf(v_c_____type, type, v_c____: $i).
% 96.50/14.49 thf(v_a_____type, type, v_a____: $i).
% 96.50/14.49 thf(v_P_____type, type, v_P____: $i).
% 96.50/14.49 thf(v_b_____type, type, v_b____: $i).
% 96.50/14.49 thf(v_e_____type, type, v_e____: $i).
% 96.50/14.49 thf(c_fequal_type, type, c_fequal: $i > $i).
% 96.50/14.49 thf(tc_Arrow__Order__Mirabelle_Oalt_type, type, tc_Arrow__Order__Mirabelle_Oalt:
% 96.50/14.49 $i).
% 96.50/14.49 thf(c_HOL_Oord__class_Oless_type, type, c_HOL_Oord__class_Oless: $i > $i).
% 96.50/14.49 thf(hAPP_type, type, hAPP: $i > $i > $i).
% 96.50/14.49 thf(v_d_____type, type, v_d____: $i).
% 96.50/14.49 thf(c_HOL_OIf_type, type, c_HOL_OIf: $i > $i).
% 96.50/14.49 thf(c_in_type, type, c_in: $i > $i).
% 96.50/14.49 thf(v_n_____type, type, v_n____: $i).
% 96.50/14.49 thf(tc_bool_type, type, tc_bool: $i).
% 96.50/14.49 thf(c_Arrow__Order__Mirabelle_Omktop_type, type, c_Arrow__Order__Mirabelle_Omktop:
% 96.50/14.49 $i).
% 96.50/14.49 thf(tc_fun_type, type, tc_fun: $i > $i > $i).
% 96.50/14.49 thf(c_COMBB_type, type, c_COMBB: $i > $i > $i > $i > $i > $i).
% 96.50/14.49 thf(c_Arrow__Order__Mirabelle_Oabove_type, type, c_Arrow__Order__Mirabelle_Oabove:
% 96.50/14.49 $i).
% 96.50/14.49 thf(tc_nat_type, type, tc_nat: $i).
% 96.50/14.49 thf(c_COMBS_type, type, c_COMBS: $i > $i > $i > $i > $i > $i).
% 96.50/14.49 thf(c_Arrow__Order__Mirabelle_Omkbot_type, type, c_Arrow__Order__Mirabelle_Omkbot:
% 96.50/14.49 $i).
% 96.50/14.49 thf(hBOOL_type, type, hBOOL: $i > $o).
% 96.50/14.49 thf(v_F_type, type, v_F: $i > $i).
% 96.50/14.49 thf(tc_prod_type, type, tc_prod: $i > $i > $i).
% 96.50/14.49 thf(c_Pair_type, type, c_Pair: $i > $i > $i > $i > $i).
% 96.50/14.49 thf(v_h_____type, type, v_h____: $i).
% 96.50/14.49 thf(c_COMBC_type, type, c_COMBC: $i > $i > $i > $i > $i).
% 96.50/14.49 thf(c_lessequals_type, type, c_lessequals: $i > $i > $i > $o).
% 96.50/14.49 thf(v_Lba_____type, type, v_Lba____: $i).
% 96.50/14.49 thf(tc_Arrow__Order__Mirabelle_Oindi_type, type, tc_Arrow__Order__Mirabelle_Oindi:
% 96.50/14.49 $i).
% 96.50/14.49 thf(cls_conjecture_0, conjecture,
% 96.50/14.49 (hBOOL @
% 96.50/14.49 ( hAPP @
% 96.50/14.49 ( hAPP @
% 96.50/14.49 ( c_in @
% 96.50/14.49 ( tc_prod @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) ) @
% 96.50/14.49 ( c_Pair @
% 96.50/14.49 v_e____ @ v_d____ @ tc_Arrow__Order__Mirabelle_Oalt @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oalt ) ) @
% 96.50/14.49 ( v_F @
% 96.50/14.49 ( c_COMBS @
% 96.50/14.49 ( c_COMBS @
% 96.50/14.49 ( c_COMBB @
% 96.50/14.49 ( c_HOL_OIf @
% 96.50/14.49 ( tc_fun @
% 96.50/14.49 ( tc_prod @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oalt @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oalt ) @
% 96.50/14.49 tc_bool ) ) @
% 96.50/14.49 ( hAPP @
% 96.50/14.49 ( c_COMBC @
% 96.50/14.49 ( c_COMBB @
% 96.50/14.49 ( c_HOL_Oord__class_Oless @ tc_nat ) @ v_h____ @ tc_nat @
% 96.50/14.49 ( tc_fun @ tc_nat @ tc_bool ) @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oindi ) @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oindi @ tc_nat @ tc_bool ) @
% 96.50/14.49 v_n____ ) @
% 96.50/14.49 tc_bool @
% 96.50/14.49 ( tc_fun @
% 96.50/14.49 ( tc_fun @
% 96.50/14.49 ( tc_prod @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oalt @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oalt ) @
% 96.50/14.49 tc_bool ) @
% 96.50/14.49 ( tc_fun @
% 96.50/14.49 ( tc_fun @
% 96.50/14.49 ( tc_prod @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oalt @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oalt ) @
% 96.50/14.49 tc_bool ) @
% 96.50/14.49 ( tc_fun @
% 96.50/14.49 ( tc_prod @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oalt @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oalt ) @
% 96.50/14.49 tc_bool ) ) ) @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oindi ) @
% 96.50/14.49 ( hAPP @
% 96.50/14.49 ( c_COMBC @
% 96.50/14.49 ( c_COMBB @
% 96.50/14.49 c_Arrow__Order__Mirabelle_Omktop @ v_P____ @
% 96.50/14.49 ( tc_fun @
% 96.50/14.49 ( tc_prod @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oalt @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oalt ) @
% 96.50/14.49 tc_bool ) @
% 96.50/14.49 ( tc_fun @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oalt @
% 96.50/14.49 ( tc_fun @
% 96.50/14.49 ( tc_prod @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oalt @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oalt ) @
% 96.50/14.49 tc_bool ) ) @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oindi ) @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oindi @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oalt @
% 96.50/14.49 ( tc_fun @
% 96.50/14.49 ( tc_prod @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oalt @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oalt ) @
% 96.50/14.49 tc_bool ) ) @
% 96.50/14.49 v_e____ ) @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oindi @
% 96.50/14.49 ( tc_fun @
% 96.50/14.49 ( tc_prod @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oalt @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oalt ) @
% 96.50/14.49 tc_bool ) @
% 96.50/14.49 ( tc_fun @
% 96.50/14.49 ( tc_fun @
% 96.50/14.49 ( tc_prod @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oalt @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oalt ) @
% 96.50/14.49 tc_bool ) @
% 96.50/14.49 ( tc_fun @
% 96.50/14.49 ( tc_prod @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oalt @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oalt ) @
% 96.50/14.49 tc_bool ) ) ) @
% 96.50/14.49 ( c_COMBS @
% 96.50/14.49 ( c_COMBS @
% 96.50/14.49 ( c_COMBB @
% 96.50/14.49 ( c_HOL_OIf @
% 96.50/14.49 ( tc_fun @
% 96.50/14.49 ( tc_prod @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oalt @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oalt ) @
% 96.50/14.49 tc_bool ) ) @
% 96.50/14.49 ( hAPP @
% 96.50/14.49 ( c_COMBC @
% 96.50/14.49 ( c_COMBB @
% 96.50/14.49 ( c_fequal @ tc_nat ) @ v_h____ @ tc_nat @
% 96.50/14.49 ( tc_fun @ tc_nat @ tc_bool ) @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oindi ) @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oindi @ tc_nat @ tc_bool ) @
% 96.50/14.49 v_n____ ) @
% 96.50/14.49 tc_bool @
% 96.50/14.49 ( tc_fun @
% 96.50/14.49 ( tc_fun @
% 96.50/14.49 ( tc_prod @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oalt @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oalt ) @
% 96.50/14.49 tc_bool ) @
% 96.50/14.49 ( tc_fun @
% 96.50/14.49 ( tc_fun @
% 96.50/14.49 ( tc_prod @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oalt @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oalt ) @
% 96.50/14.49 tc_bool ) @
% 96.50/14.49 ( tc_fun @
% 96.50/14.49 ( tc_prod @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oalt @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oalt ) @
% 96.50/14.49 tc_bool ) ) ) @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oindi ) @
% 96.50/14.49 ( hAPP @
% 96.50/14.49 ( c_COMBC @
% 96.50/14.49 ( hAPP @
% 96.50/14.49 ( c_COMBC @
% 96.50/14.49 ( c_COMBB @
% 96.50/14.49 c_Arrow__Order__Mirabelle_Oabove @ v_P____ @
% 96.50/14.49 ( tc_fun @
% 96.50/14.49 ( tc_prod @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oalt @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oalt ) @
% 96.50/14.49 tc_bool ) @
% 96.50/14.49 ( tc_fun @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oalt @
% 96.50/14.49 ( tc_fun @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oalt @
% 96.50/14.49 ( tc_fun @
% 96.50/14.49 ( tc_prod @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oalt @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oalt ) @
% 96.50/14.49 tc_bool ) ) ) @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oindi ) @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oindi @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oalt @
% 96.50/14.49 ( tc_fun @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oalt @
% 96.50/14.49 ( tc_fun @
% 96.50/14.49 ( tc_prod @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oalt @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oalt ) @
% 96.50/14.49 tc_bool ) ) ) @
% 96.50/14.49 v_c____ ) @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oindi @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oalt @
% 96.50/14.49 ( tc_fun @
% 96.50/14.49 ( tc_prod @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oalt @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oalt ) @
% 96.50/14.49 tc_bool ) ) @
% 96.50/14.49 v_e____ ) @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oindi @
% 96.50/14.49 ( tc_fun @
% 96.50/14.49 ( tc_prod @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oalt @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oalt ) @
% 96.50/14.49 tc_bool ) @
% 96.50/14.49 ( tc_fun @
% 96.50/14.49 ( tc_fun @
% 96.50/14.49 ( tc_prod @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oalt @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oalt ) @
% 96.50/14.49 tc_bool ) @
% 96.50/14.49 ( tc_fun @
% 96.50/14.49 ( tc_prod @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oalt @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oalt ) @
% 96.50/14.49 tc_bool ) ) ) @
% 96.50/14.49 ( hAPP @
% 96.50/14.49 ( c_COMBC @
% 96.50/14.49 ( c_COMBB @
% 96.50/14.49 c_Arrow__Order__Mirabelle_Omkbot @ v_P____ @
% 96.50/14.49 ( tc_fun @
% 96.50/14.49 ( tc_prod @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oalt @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oalt ) @
% 96.50/14.49 tc_bool ) @
% 96.50/14.49 ( tc_fun @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oalt @
% 96.50/14.49 ( tc_fun @
% 96.50/14.49 ( tc_prod @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oalt @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oalt ) @
% 96.50/14.49 tc_bool ) ) @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oindi ) @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oindi @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oalt @
% 96.50/14.49 ( tc_fun @
% 96.50/14.49 ( tc_prod @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oalt @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oalt ) @
% 96.50/14.49 tc_bool ) ) @
% 96.50/14.49 v_e____ ) @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oindi @
% 96.50/14.49 ( tc_fun @
% 96.50/14.49 ( tc_prod @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oalt @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oalt ) @
% 96.50/14.49 tc_bool ) @
% 96.50/14.49 ( tc_fun @
% 96.50/14.49 ( tc_prod @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oalt @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oalt ) @
% 96.50/14.49 tc_bool ) ) @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oindi @
% 96.50/14.49 ( tc_fun @
% 96.50/14.49 ( tc_prod @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oalt @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oalt ) @
% 96.50/14.49 tc_bool ) @
% 96.50/14.49 ( tc_fun @
% 96.50/14.49 ( tc_prod @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oalt @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oalt ) @
% 96.50/14.49 tc_bool ) ) ) ))).
% 96.50/14.49 thf(zf_stmt_0, negated_conjecture,
% 96.50/14.49 (~( hBOOL @
% 96.50/14.49 ( hAPP @
% 96.50/14.49 ( hAPP @
% 96.50/14.49 ( c_in @
% 96.50/14.49 ( tc_prod @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oalt @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oalt ) ) @
% 96.50/14.49 ( c_Pair @
% 96.50/14.49 v_e____ @ v_d____ @ tc_Arrow__Order__Mirabelle_Oalt @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oalt ) ) @
% 96.50/14.49 ( v_F @
% 96.50/14.49 ( c_COMBS @
% 96.50/14.49 ( c_COMBS @
% 96.50/14.49 ( c_COMBB @
% 96.50/14.49 ( c_HOL_OIf @
% 96.50/14.49 ( tc_fun @
% 96.50/14.49 ( tc_prod @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oalt @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oalt ) @
% 96.50/14.49 tc_bool ) ) @
% 96.50/14.49 ( hAPP @
% 96.50/14.49 ( c_COMBC @
% 96.50/14.49 ( c_COMBB @
% 96.50/14.49 ( c_HOL_Oord__class_Oless @ tc_nat ) @ v_h____ @
% 96.50/14.49 tc_nat @ ( tc_fun @ tc_nat @ tc_bool ) @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oindi ) @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oindi @ tc_nat @ tc_bool ) @
% 96.50/14.49 v_n____ ) @
% 96.50/14.49 tc_bool @
% 96.50/14.49 ( tc_fun @
% 96.50/14.49 ( tc_fun @
% 96.50/14.49 ( tc_prod @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oalt @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oalt ) @
% 96.50/14.49 tc_bool ) @
% 96.50/14.49 ( tc_fun @
% 96.50/14.49 ( tc_fun @
% 96.50/14.49 ( tc_prod @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oalt @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oalt ) @
% 96.50/14.49 tc_bool ) @
% 96.50/14.49 ( tc_fun @
% 96.50/14.49 ( tc_prod @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oalt @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oalt ) @
% 96.50/14.49 tc_bool ) ) ) @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oindi ) @
% 96.50/14.49 ( hAPP @
% 96.50/14.49 ( c_COMBC @
% 96.50/14.49 ( c_COMBB @
% 96.50/14.49 c_Arrow__Order__Mirabelle_Omktop @ v_P____ @
% 96.50/14.49 ( tc_fun @
% 96.50/14.49 ( tc_prod @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oalt @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oalt ) @
% 96.50/14.49 tc_bool ) @
% 96.50/14.49 ( tc_fun @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oalt @
% 96.50/14.49 ( tc_fun @
% 96.50/14.49 ( tc_prod @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oalt @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oalt ) @
% 96.50/14.49 tc_bool ) ) @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oindi ) @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oindi @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oalt @
% 96.50/14.49 ( tc_fun @
% 96.50/14.49 ( tc_prod @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oalt @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oalt ) @
% 96.50/14.49 tc_bool ) ) @
% 96.50/14.49 v_e____ ) @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oindi @
% 96.50/14.49 ( tc_fun @
% 96.50/14.49 ( tc_prod @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oalt @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oalt ) @
% 96.50/14.49 tc_bool ) @
% 96.50/14.49 ( tc_fun @
% 96.50/14.49 ( tc_fun @
% 96.50/14.49 ( tc_prod @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oalt @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oalt ) @
% 96.50/14.49 tc_bool ) @
% 96.50/14.49 ( tc_fun @
% 96.50/14.49 ( tc_prod @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oalt @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oalt ) @
% 96.50/14.49 tc_bool ) ) ) @
% 96.50/14.49 ( c_COMBS @
% 96.50/14.49 ( c_COMBS @
% 96.50/14.49 ( c_COMBB @
% 96.50/14.49 ( c_HOL_OIf @
% 96.50/14.49 ( tc_fun @
% 96.50/14.49 ( tc_prod @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oalt @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oalt ) @
% 96.50/14.49 tc_bool ) ) @
% 96.50/14.49 ( hAPP @
% 96.50/14.49 ( c_COMBC @
% 96.50/14.49 ( c_COMBB @
% 96.50/14.49 ( c_fequal @ tc_nat ) @ v_h____ @ tc_nat @
% 96.50/14.49 ( tc_fun @ tc_nat @ tc_bool ) @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oindi ) @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oindi @ tc_nat @ tc_bool ) @
% 96.50/14.49 v_n____ ) @
% 96.50/14.49 tc_bool @
% 96.50/14.49 ( tc_fun @
% 96.50/14.49 ( tc_fun @
% 96.50/14.49 ( tc_prod @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oalt @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oalt ) @
% 96.50/14.49 tc_bool ) @
% 96.50/14.49 ( tc_fun @
% 96.50/14.49 ( tc_fun @
% 96.50/14.49 ( tc_prod @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oalt @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oalt ) @
% 96.50/14.49 tc_bool ) @
% 96.50/14.49 ( tc_fun @
% 96.50/14.49 ( tc_prod @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oalt @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oalt ) @
% 96.50/14.49 tc_bool ) ) ) @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oindi ) @
% 96.50/14.49 ( hAPP @
% 96.50/14.49 ( c_COMBC @
% 96.50/14.49 ( hAPP @
% 96.50/14.49 ( c_COMBC @
% 96.50/14.49 ( c_COMBB @
% 96.50/14.49 c_Arrow__Order__Mirabelle_Oabove @ v_P____ @
% 96.50/14.49 ( tc_fun @
% 96.50/14.49 ( tc_prod @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oalt @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oalt ) @
% 96.50/14.49 tc_bool ) @
% 96.50/14.49 ( tc_fun @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oalt @
% 96.50/14.49 ( tc_fun @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oalt @
% 96.50/14.49 ( tc_fun @
% 96.50/14.49 ( tc_prod @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oalt @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oalt ) @
% 96.50/14.49 tc_bool ) ) ) @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oindi ) @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oindi @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oalt @
% 96.50/14.49 ( tc_fun @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oalt @
% 96.50/14.49 ( tc_fun @
% 96.50/14.49 ( tc_prod @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oalt @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oalt ) @
% 96.50/14.49 tc_bool ) ) ) @
% 96.50/14.49 v_c____ ) @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oindi @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oalt @
% 96.50/14.49 ( tc_fun @
% 96.50/14.49 ( tc_prod @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oalt @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oalt ) @
% 96.50/14.49 tc_bool ) ) @
% 96.50/14.49 v_e____ ) @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oindi @
% 96.50/14.49 ( tc_fun @
% 96.50/14.49 ( tc_prod @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oalt @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oalt ) @
% 96.50/14.49 tc_bool ) @
% 96.50/14.49 ( tc_fun @
% 96.50/14.49 ( tc_fun @
% 96.50/14.49 ( tc_prod @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oalt @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oalt ) @
% 96.50/14.49 tc_bool ) @
% 96.50/14.49 ( tc_fun @
% 96.50/14.49 ( tc_prod @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oalt @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oalt ) @
% 96.50/14.49 tc_bool ) ) ) @
% 96.50/14.49 ( hAPP @
% 96.50/14.49 ( c_COMBC @
% 96.50/14.49 ( c_COMBB @
% 96.50/14.49 c_Arrow__Order__Mirabelle_Omkbot @ v_P____ @
% 96.50/14.49 ( tc_fun @
% 96.50/14.49 ( tc_prod @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oalt @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oalt ) @
% 96.50/14.49 tc_bool ) @
% 96.50/14.49 ( tc_fun @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oalt @
% 96.50/14.49 ( tc_fun @
% 96.50/14.49 ( tc_prod @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oalt @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oalt ) @
% 96.50/14.49 tc_bool ) ) @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oindi ) @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oindi @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oalt @
% 96.50/14.49 ( tc_fun @
% 96.50/14.49 ( tc_prod @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oalt @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oalt ) @
% 96.50/14.49 tc_bool ) ) @
% 96.50/14.49 v_e____ ) @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oindi @
% 96.50/14.49 ( tc_fun @
% 96.50/14.49 ( tc_prod @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oalt @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oalt ) @
% 96.50/14.49 tc_bool ) @
% 96.50/14.49 ( tc_fun @
% 96.50/14.49 ( tc_prod @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oalt @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oalt ) @
% 96.50/14.49 tc_bool ) ) @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oindi @
% 96.50/14.49 ( tc_fun @
% 96.50/14.49 ( tc_prod @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oalt @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oalt ) @
% 96.50/14.49 tc_bool ) @
% 96.50/14.49 ( tc_fun @
% 96.50/14.49 ( tc_prod @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oalt @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oalt ) @
% 96.50/14.49 tc_bool ) ) ) ) )),
% 96.50/14.49 inference('cnf.neg', [status(esa)], [cls_conjecture_0])).
% 96.50/14.49 thf(zip_derived_cl1274, plain,
% 96.50/14.49 (~ (hBOOL @
% 96.50/14.49 (hAPP @
% 96.50/14.49 (hAPP @
% 96.50/14.49 (c_in @
% 96.50/14.49 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oalt)) @
% 96.50/14.49 (c_Pair @ v_e____ @ v_d____ @ tc_Arrow__Order__Mirabelle_Oalt @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oalt)) @
% 96.50/14.49 (v_F @
% 96.50/14.49 (c_COMBS @
% 96.50/14.49 (c_COMBS @
% 96.50/14.49 (c_COMBB @
% 96.50/14.49 (c_HOL_OIf @
% 96.50/14.49 (tc_fun @
% 96.50/14.49 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oalt) @
% 96.50/14.49 tc_bool)) @
% 96.50/14.49 (hAPP @
% 96.50/14.49 (c_COMBC @
% 96.50/14.49 (c_COMBB @ (c_HOL_Oord__class_Oless @ tc_nat) @ v_h____ @
% 96.50/14.49 tc_nat @ (tc_fun @ tc_nat @ tc_bool) @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oindi) @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oindi @ tc_nat @ tc_bool) @
% 96.50/14.49 v_n____) @
% 96.50/14.49 tc_bool @
% 96.50/14.49 (tc_fun @
% 96.50/14.49 (tc_fun @
% 96.50/14.49 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oalt) @
% 96.50/14.49 tc_bool) @
% 96.50/14.49 (tc_fun @
% 96.50/14.49 (tc_fun @
% 96.50/14.49 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oalt) @
% 96.50/14.49 tc_bool) @
% 96.50/14.49 (tc_fun @
% 96.50/14.49 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oalt) @
% 96.50/14.49 tc_bool))) @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oindi) @
% 96.50/14.49 (hAPP @
% 96.50/14.49 (c_COMBC @
% 96.50/14.49 (c_COMBB @ c_Arrow__Order__Mirabelle_Omktop @ v_P____ @
% 96.50/14.49 (tc_fun @
% 96.50/14.49 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oalt) @
% 96.50/14.49 tc_bool) @
% 96.50/14.49 (tc_fun @ tc_Arrow__Order__Mirabelle_Oalt @
% 96.50/14.49 (tc_fun @
% 96.50/14.49 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oalt) @
% 96.50/14.49 tc_bool)) @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oindi) @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oindi @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oalt @
% 96.50/14.49 (tc_fun @
% 96.50/14.49 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oalt) @
% 96.50/14.49 tc_bool)) @
% 96.50/14.49 v_e____) @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oindi @
% 96.50/14.49 (tc_fun @
% 96.50/14.49 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oalt) @
% 96.50/14.49 tc_bool) @
% 96.50/14.49 (tc_fun @
% 96.50/14.49 (tc_fun @
% 96.50/14.49 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oalt) @
% 96.50/14.49 tc_bool) @
% 96.50/14.49 (tc_fun @
% 96.50/14.49 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oalt) @
% 96.50/14.49 tc_bool))) @
% 96.50/14.49 (c_COMBS @
% 96.50/14.49 (c_COMBS @
% 96.50/14.49 (c_COMBB @
% 96.50/14.49 (c_HOL_OIf @
% 96.50/14.49 (tc_fun @
% 96.50/14.49 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oalt) @
% 96.50/14.49 tc_bool)) @
% 96.50/14.49 (hAPP @
% 96.50/14.49 (c_COMBC @
% 96.50/14.49 (c_COMBB @ (c_fequal @ tc_nat) @ v_h____ @ tc_nat @
% 96.50/14.49 (tc_fun @ tc_nat @ tc_bool) @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oindi) @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oindi @ tc_nat @ tc_bool) @
% 96.50/14.49 v_n____) @
% 96.50/14.49 tc_bool @
% 96.50/14.49 (tc_fun @
% 96.50/14.49 (tc_fun @
% 96.50/14.49 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oalt) @
% 96.50/14.49 tc_bool) @
% 96.50/14.49 (tc_fun @
% 96.50/14.49 (tc_fun @
% 96.50/14.49 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oalt) @
% 96.50/14.49 tc_bool) @
% 96.50/14.49 (tc_fun @
% 96.50/14.49 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oalt) @
% 96.50/14.49 tc_bool))) @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oindi) @
% 96.50/14.49 (hAPP @
% 96.50/14.49 (c_COMBC @
% 96.50/14.49 (hAPP @
% 96.50/14.49 (c_COMBC @
% 96.50/14.49 (c_COMBB @ c_Arrow__Order__Mirabelle_Oabove @ v_P____ @
% 96.50/14.49 (tc_fun @
% 96.50/14.49 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oalt) @
% 96.50/14.49 tc_bool) @
% 96.50/14.49 (tc_fun @ tc_Arrow__Order__Mirabelle_Oalt @
% 96.50/14.49 (tc_fun @ tc_Arrow__Order__Mirabelle_Oalt @
% 96.50/14.49 (tc_fun @
% 96.50/14.49 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oalt) @
% 96.50/14.49 tc_bool))) @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oindi) @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oindi @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oalt @
% 96.50/14.49 (tc_fun @ tc_Arrow__Order__Mirabelle_Oalt @
% 96.50/14.49 (tc_fun @
% 96.50/14.49 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oalt) @
% 96.50/14.49 tc_bool))) @
% 96.50/14.49 v_c____) @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oindi @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oalt @
% 96.50/14.49 (tc_fun @
% 96.50/14.49 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oalt) @
% 96.50/14.49 tc_bool)) @
% 96.50/14.49 v_e____) @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oindi @
% 96.50/14.49 (tc_fun @
% 96.50/14.49 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oalt) @
% 96.50/14.49 tc_bool) @
% 96.50/14.49 (tc_fun @
% 96.50/14.49 (tc_fun @
% 96.50/14.49 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oalt) @
% 96.50/14.49 tc_bool) @
% 96.50/14.49 (tc_fun @
% 96.50/14.49 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oalt) @
% 96.50/14.49 tc_bool))) @
% 96.50/14.49 (hAPP @
% 96.50/14.49 (c_COMBC @
% 96.50/14.49 (c_COMBB @ c_Arrow__Order__Mirabelle_Omkbot @ v_P____ @
% 96.50/14.49 (tc_fun @
% 96.50/14.49 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oalt) @
% 96.50/14.49 tc_bool) @
% 96.50/14.49 (tc_fun @ tc_Arrow__Order__Mirabelle_Oalt @
% 96.50/14.49 (tc_fun @
% 96.50/14.49 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oalt) @
% 96.50/14.49 tc_bool)) @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oindi) @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oindi @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oalt @
% 96.50/14.49 (tc_fun @
% 96.50/14.49 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oalt) @
% 96.50/14.49 tc_bool)) @
% 96.50/14.49 v_e____) @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oindi @
% 96.50/14.49 (tc_fun @
% 96.50/14.49 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oalt) @
% 96.50/14.49 tc_bool) @
% 96.50/14.49 (tc_fun @
% 96.50/14.49 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oalt) @
% 96.50/14.49 tc_bool)) @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oindi @
% 96.50/14.49 (tc_fun @
% 96.50/14.49 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oalt) @
% 96.50/14.49 tc_bool) @
% 96.50/14.49 (tc_fun @
% 96.50/14.49 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oalt) @
% 96.50/14.49 tc_bool)))))),
% 96.50/14.49 inference('cnf', [status(esa)], [zf_stmt_0])).
% 96.50/14.49 thf(cls_CHAINED_0, axiom,
% 96.50/14.49 (( hBOOL @
% 96.50/14.49 ( hAPP @
% 96.50/14.49 ( hAPP @
% 96.50/14.49 ( c_in @
% 96.50/14.49 ( tc_prod @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oalt @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oalt ) ) @
% 96.50/14.49 ( c_Pair @
% 96.50/14.49 v_b____ @ v_a____ @ tc_Arrow__Order__Mirabelle_Oalt @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oalt ) ) @
% 96.50/14.49 ( v_F @
% 96.50/14.49 ( hAPP @
% 96.50/14.49 ( c_COMBC @
% 96.50/14.49 ( hAPP @
% 96.50/14.49 ( c_COMBC @
% 96.50/14.49 ( c_COMBB @
% 96.50/14.49 ( c_HOL_OIf @
% 96.50/14.49 ( tc_fun @
% 96.50/14.49 ( tc_prod @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oalt @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oalt ) @
% 96.50/14.49 tc_bool ) ) @
% 96.50/14.49 ( hAPP @
% 96.50/14.49 ( c_COMBC @
% 96.50/14.49 ( c_COMBB @
% 96.50/14.49 ( c_HOL_Oord__class_Oless @ tc_nat ) @ v_h____ @
% 96.50/14.49 tc_nat @ ( tc_fun @ tc_nat @ tc_bool ) @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oindi ) @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oindi @ tc_nat @ tc_bool ) @
% 96.50/14.49 V_m ) @
% 96.50/14.49 tc_bool @
% 96.50/14.49 ( tc_fun @
% 96.50/14.49 ( tc_fun @
% 96.50/14.49 ( tc_prod @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oalt @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oalt ) @
% 96.50/14.49 tc_bool ) @
% 96.50/14.49 ( tc_fun @
% 96.50/14.49 ( tc_fun @
% 96.50/14.49 ( tc_prod @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oalt @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oalt ) @
% 96.50/14.49 tc_bool ) @
% 96.50/14.49 ( tc_fun @
% 96.50/14.49 ( tc_prod @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oalt @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oalt ) @
% 96.50/14.49 tc_bool ) ) ) @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oindi ) @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oindi @
% 96.50/14.49 ( tc_fun @
% 96.50/14.49 ( tc_prod @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oalt @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oalt ) @
% 96.50/14.49 tc_bool ) @
% 96.50/14.49 ( tc_fun @
% 96.50/14.49 ( tc_fun @
% 96.50/14.49 ( tc_prod @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oalt @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oalt ) @
% 96.50/14.49 tc_bool ) @
% 96.50/14.49 ( tc_fun @
% 96.50/14.49 ( tc_prod @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oalt @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oalt ) @
% 96.50/14.49 tc_bool ) ) ) @
% 96.50/14.49 v_Lab____ ) @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oindi @
% 96.50/14.49 ( tc_fun @
% 96.50/14.49 ( tc_prod @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oalt @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oalt ) @
% 96.50/14.49 tc_bool ) @
% 96.50/14.49 ( tc_fun @
% 96.50/14.49 ( tc_prod @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oalt @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oalt ) @
% 96.50/14.49 tc_bool ) ) @
% 96.50/14.49 v_Lba____ ) ) ) ) |
% 96.50/14.49 ( ~( c_lessequals @ V_m @ v_n____ @ tc_nat ) ))).
% 96.50/14.49 thf(zip_derived_cl1271, plain,
% 96.50/14.49 (![X0 : $i]:
% 96.50/14.49 ( (hBOOL @
% 96.50/14.49 (hAPP @
% 96.50/14.49 (hAPP @
% 96.50/14.49 (c_in @
% 96.50/14.49 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oalt)) @
% 96.50/14.49 (c_Pair @ v_b____ @ v_a____ @ tc_Arrow__Order__Mirabelle_Oalt @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oalt)) @
% 96.50/14.49 (v_F @
% 96.50/14.49 (hAPP @
% 96.50/14.49 (c_COMBC @
% 96.50/14.49 (hAPP @
% 96.50/14.49 (c_COMBC @
% 96.50/14.49 (c_COMBB @
% 96.50/14.49 (c_HOL_OIf @
% 96.50/14.49 (tc_fun @
% 96.50/14.49 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oalt) @
% 96.50/14.49 tc_bool)) @
% 96.50/14.49 (hAPP @
% 96.50/14.49 (c_COMBC @
% 96.50/14.49 (c_COMBB @ (c_HOL_Oord__class_Oless @ tc_nat) @ v_h____ @
% 96.50/14.49 tc_nat @ (tc_fun @ tc_nat @ tc_bool) @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oindi) @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oindi @ tc_nat @ tc_bool) @
% 96.50/14.49 X0) @
% 96.50/14.49 tc_bool @
% 96.50/14.49 (tc_fun @
% 96.50/14.49 (tc_fun @
% 96.50/14.49 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oalt) @
% 96.50/14.49 tc_bool) @
% 96.50/14.49 (tc_fun @
% 96.50/14.49 (tc_fun @
% 96.50/14.49 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oalt) @
% 96.50/14.49 tc_bool) @
% 96.50/14.49 (tc_fun @
% 96.50/14.49 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oalt) @
% 96.50/14.49 tc_bool))) @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oindi) @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oindi @
% 96.50/14.49 (tc_fun @
% 96.50/14.49 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oalt) @
% 96.50/14.49 tc_bool) @
% 96.50/14.49 (tc_fun @
% 96.50/14.49 (tc_fun @
% 96.50/14.49 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oalt) @
% 96.50/14.49 tc_bool) @
% 96.50/14.49 (tc_fun @
% 96.50/14.49 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oalt) @
% 96.50/14.49 tc_bool))) @
% 96.50/14.49 v_Lab____) @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oindi @
% 96.50/14.49 (tc_fun @
% 96.50/14.49 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oalt) @
% 96.50/14.49 tc_bool) @
% 96.50/14.49 (tc_fun @
% 96.50/14.49 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oalt) @
% 96.50/14.49 tc_bool)) @
% 96.50/14.49 v_Lba____))))
% 96.50/14.49 | ~ (c_lessequals @ X0 @ v_n____ @ tc_nat))),
% 96.50/14.49 inference('cnf', [status(esa)], [cls_CHAINED_0])).
% 96.50/14.49 thf(cls_CHAINED_1, axiom,
% 96.50/14.49 (( hBOOL @
% 96.50/14.49 ( hAPP @
% 96.50/14.49 ( hAPP @
% 96.50/14.49 ( c_in @
% 96.50/14.49 ( tc_prod @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oalt @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oalt ) ) @
% 96.50/14.49 ( c_Pair @
% 96.50/14.49 v_e____ @ v_d____ @ tc_Arrow__Order__Mirabelle_Oalt @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oalt ) ) @
% 96.50/14.49 ( v_F @
% 96.50/14.49 ( c_COMBS @
% 96.50/14.49 ( c_COMBS @
% 96.50/14.49 ( c_COMBB @
% 96.50/14.49 ( c_HOL_OIf @
% 96.50/14.49 ( tc_fun @
% 96.50/14.49 ( tc_prod @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oalt @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oalt ) @
% 96.50/14.49 tc_bool ) ) @
% 96.50/14.49 ( hAPP @
% 96.50/14.49 ( c_COMBC @
% 96.50/14.49 ( c_COMBB @
% 96.50/14.49 ( c_HOL_Oord__class_Oless @ tc_nat ) @ v_h____ @
% 96.50/14.49 tc_nat @ ( tc_fun @ tc_nat @ tc_bool ) @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oindi ) @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oindi @ tc_nat @ tc_bool ) @
% 96.50/14.49 v_n____ ) @
% 96.50/14.49 tc_bool @
% 96.50/14.49 ( tc_fun @
% 96.50/14.49 ( tc_fun @
% 96.50/14.49 ( tc_prod @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oalt @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oalt ) @
% 96.50/14.49 tc_bool ) @
% 96.50/14.49 ( tc_fun @
% 96.50/14.49 ( tc_fun @
% 96.50/14.49 ( tc_prod @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oalt @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oalt ) @
% 96.50/14.49 tc_bool ) @
% 96.50/14.49 ( tc_fun @
% 96.50/14.49 ( tc_prod @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oalt @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oalt ) @
% 96.50/14.49 tc_bool ) ) ) @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oindi ) @
% 96.50/14.49 ( hAPP @
% 96.50/14.49 ( c_COMBC @
% 96.50/14.49 ( c_COMBB @
% 96.50/14.49 c_Arrow__Order__Mirabelle_Omktop @ v_P____ @
% 96.50/14.49 ( tc_fun @
% 96.50/14.49 ( tc_prod @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oalt @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oalt ) @
% 96.50/14.49 tc_bool ) @
% 96.50/14.49 ( tc_fun @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oalt @
% 96.50/14.49 ( tc_fun @
% 96.50/14.49 ( tc_prod @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oalt @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oalt ) @
% 96.50/14.49 tc_bool ) ) @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oindi ) @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oindi @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oalt @
% 96.50/14.49 ( tc_fun @
% 96.50/14.49 ( tc_prod @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oalt @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oalt ) @
% 96.50/14.49 tc_bool ) ) @
% 96.50/14.49 v_e____ ) @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oindi @
% 96.50/14.49 ( tc_fun @
% 96.50/14.49 ( tc_prod @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oalt @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oalt ) @
% 96.50/14.49 tc_bool ) @
% 96.50/14.49 ( tc_fun @
% 96.50/14.49 ( tc_fun @
% 96.50/14.49 ( tc_prod @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oalt @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oalt ) @
% 96.50/14.49 tc_bool ) @
% 96.50/14.49 ( tc_fun @
% 96.50/14.49 ( tc_prod @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oalt @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oalt ) @
% 96.50/14.49 tc_bool ) ) ) @
% 96.50/14.49 ( c_COMBS @
% 96.50/14.49 ( c_COMBS @
% 96.50/14.49 ( c_COMBB @
% 96.50/14.49 ( c_HOL_OIf @
% 96.50/14.49 ( tc_fun @
% 96.50/14.49 ( tc_prod @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oalt @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oalt ) @
% 96.50/14.49 tc_bool ) ) @
% 96.50/14.49 ( hAPP @
% 96.50/14.49 ( c_COMBC @
% 96.50/14.49 ( c_COMBB @
% 96.50/14.49 ( c_fequal @ tc_nat ) @ v_h____ @ tc_nat @
% 96.50/14.49 ( tc_fun @ tc_nat @ tc_bool ) @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oindi ) @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oindi @ tc_nat @ tc_bool ) @
% 96.50/14.49 v_n____ ) @
% 96.50/14.49 tc_bool @
% 96.50/14.49 ( tc_fun @
% 96.50/14.49 ( tc_fun @
% 96.50/14.49 ( tc_prod @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oalt @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oalt ) @
% 96.50/14.49 tc_bool ) @
% 96.50/14.49 ( tc_fun @
% 96.50/14.49 ( tc_fun @
% 96.50/14.49 ( tc_prod @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oalt @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oalt ) @
% 96.50/14.49 tc_bool ) @
% 96.50/14.49 ( tc_fun @
% 96.50/14.49 ( tc_prod @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oalt @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oalt ) @
% 96.50/14.49 tc_bool ) ) ) @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oindi ) @
% 96.50/14.49 ( hAPP @
% 96.50/14.49 ( c_COMBC @
% 96.50/14.49 ( hAPP @
% 96.50/14.49 ( c_COMBC @
% 96.50/14.49 ( c_COMBB @
% 96.50/14.49 c_Arrow__Order__Mirabelle_Oabove @ v_P____ @
% 96.50/14.49 ( tc_fun @
% 96.50/14.49 ( tc_prod @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oalt @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oalt ) @
% 96.50/14.49 tc_bool ) @
% 96.50/14.49 ( tc_fun @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oalt @
% 96.50/14.49 ( tc_fun @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oalt @
% 96.50/14.49 ( tc_fun @
% 96.50/14.49 ( tc_prod @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oalt @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oalt ) @
% 96.50/14.49 tc_bool ) ) ) @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oindi ) @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oindi @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oalt @
% 96.50/14.49 ( tc_fun @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oalt @
% 96.50/14.49 ( tc_fun @
% 96.50/14.49 ( tc_prod @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oalt @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oalt ) @
% 96.50/14.49 tc_bool ) ) ) @
% 96.50/14.49 v_c____ ) @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oindi @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oalt @
% 96.50/14.49 ( tc_fun @
% 96.50/14.49 ( tc_prod @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oalt @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oalt ) @
% 96.50/14.49 tc_bool ) ) @
% 96.50/14.49 v_e____ ) @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oindi @
% 96.50/14.49 ( tc_fun @
% 96.50/14.49 ( tc_prod @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oalt @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oalt ) @
% 96.50/14.49 tc_bool ) @
% 96.50/14.49 ( tc_fun @
% 96.50/14.49 ( tc_fun @
% 96.50/14.49 ( tc_prod @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oalt @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oalt ) @
% 96.50/14.49 tc_bool ) @
% 96.50/14.49 ( tc_fun @
% 96.50/14.49 ( tc_prod @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oalt @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oalt ) @
% 96.50/14.49 tc_bool ) ) ) @
% 96.50/14.49 ( hAPP @
% 96.50/14.49 ( c_COMBC @
% 96.50/14.49 ( c_COMBB @
% 96.50/14.49 c_Arrow__Order__Mirabelle_Omkbot @ v_P____ @
% 96.50/14.49 ( tc_fun @
% 96.50/14.49 ( tc_prod @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oalt @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oalt ) @
% 96.50/14.49 tc_bool ) @
% 96.50/14.49 ( tc_fun @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oalt @
% 96.50/14.49 ( tc_fun @
% 96.50/14.49 ( tc_prod @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oalt @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oalt ) @
% 96.50/14.49 tc_bool ) ) @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oindi ) @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oindi @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oalt @
% 96.50/14.49 ( tc_fun @
% 96.50/14.49 ( tc_prod @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oalt @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oalt ) @
% 96.50/14.49 tc_bool ) ) @
% 96.50/14.49 v_e____ ) @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oindi @
% 96.50/14.49 ( tc_fun @
% 96.50/14.49 ( tc_prod @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oalt @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oalt ) @
% 96.50/14.49 tc_bool ) @
% 96.50/14.49 ( tc_fun @
% 96.50/14.49 ( tc_prod @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oalt @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oalt ) @
% 96.50/14.49 tc_bool ) ) @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oindi @
% 96.50/14.49 ( tc_fun @
% 96.50/14.49 ( tc_prod @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oalt @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oalt ) @
% 96.50/14.49 tc_bool ) @
% 96.50/14.49 ( tc_fun @
% 96.50/14.49 ( tc_prod @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oalt @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oalt ) @
% 96.50/14.49 tc_bool ) ) ) ) ) |
% 96.50/14.49 ( ~( hBOOL @
% 96.50/14.49 ( hAPP @
% 96.50/14.49 ( hAPP @
% 96.50/14.49 ( c_in @
% 96.50/14.49 ( tc_prod @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oalt @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oalt ) ) @
% 96.50/14.49 ( c_Pair @
% 96.50/14.49 v_b____ @ v_a____ @ tc_Arrow__Order__Mirabelle_Oalt @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oalt ) ) @
% 96.50/14.49 ( v_F @
% 96.50/14.49 ( hAPP @
% 96.50/14.49 ( c_COMBC @
% 96.50/14.49 ( hAPP @
% 96.50/14.49 ( c_COMBC @
% 96.50/14.49 ( c_COMBB @
% 96.50/14.49 ( c_HOL_OIf @
% 96.50/14.49 ( tc_fun @
% 96.50/14.49 ( tc_prod @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oalt @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oalt ) @
% 96.50/14.49 tc_bool ) ) @
% 96.50/14.49 ( hAPP @
% 96.50/14.49 ( c_COMBC @
% 96.50/14.49 ( c_COMBB @
% 96.50/14.49 ( c_HOL_Oord__class_Oless @ tc_nat ) @ v_h____ @
% 96.50/14.49 tc_nat @ ( tc_fun @ tc_nat @ tc_bool ) @
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% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oindi @ tc_nat @ tc_bool ) @
% 96.50/14.49 v_n____ ) @
% 96.50/14.49 tc_bool @
% 96.50/14.49 ( tc_fun @
% 96.50/14.49 ( tc_fun @
% 96.50/14.49 ( tc_prod @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oalt @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oalt ) @
% 96.50/14.49 tc_bool ) @
% 96.50/14.49 ( tc_fun @
% 96.50/14.49 ( tc_fun @
% 96.50/14.49 ( tc_prod @
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% 96.50/14.49 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oalt) @
% 96.50/14.49 tc_bool)) @
% 96.50/14.49 (hAPP @
% 96.50/14.49 (c_COMBC @
% 96.50/14.49 (c_COMBB @ (c_fequal @ tc_nat) @ v_h____ @ tc_nat @
% 96.50/14.49 (tc_fun @ tc_nat @ tc_bool) @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oindi) @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oindi @ tc_nat @ tc_bool) @
% 96.50/14.49 v_n____) @
% 96.50/14.49 tc_bool @
% 96.50/14.49 (tc_fun @
% 96.50/14.49 (tc_fun @
% 96.50/14.49 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oalt) @
% 96.50/14.49 tc_bool) @
% 96.50/14.49 (tc_fun @
% 96.50/14.49 (tc_fun @
% 96.50/14.49 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oalt) @
% 96.50/14.49 tc_bool) @
% 96.50/14.49 (tc_fun @
% 96.50/14.49 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oalt) @
% 96.50/14.49 tc_bool))) @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oindi) @
% 96.50/14.49 (hAPP @
% 96.50/14.49 (c_COMBC @
% 96.50/14.49 (hAPP @
% 96.50/14.49 (c_COMBC @
% 96.50/14.49 (c_COMBB @ c_Arrow__Order__Mirabelle_Oabove @ v_P____ @
% 96.50/14.49 (tc_fun @
% 96.50/14.49 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oalt) @
% 96.50/14.49 tc_bool) @
% 96.50/14.49 (tc_fun @ tc_Arrow__Order__Mirabelle_Oalt @
% 96.50/14.49 (tc_fun @ tc_Arrow__Order__Mirabelle_Oalt @
% 96.50/14.49 (tc_fun @
% 96.50/14.49 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oalt) @
% 96.50/14.49 tc_bool))) @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oindi) @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oindi @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oalt @
% 96.50/14.49 (tc_fun @ tc_Arrow__Order__Mirabelle_Oalt @
% 96.50/14.49 (tc_fun @
% 96.50/14.49 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oalt) @
% 96.50/14.49 tc_bool))) @
% 96.50/14.49 v_c____) @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oindi @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oalt @
% 96.50/14.49 (tc_fun @
% 96.50/14.49 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oalt) @
% 96.50/14.49 tc_bool)) @
% 96.50/14.49 v_e____) @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oindi @
% 96.50/14.49 (tc_fun @
% 96.50/14.49 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oalt) @
% 96.50/14.49 tc_bool) @
% 96.50/14.49 (tc_fun @
% 96.50/14.49 (tc_fun @
% 96.50/14.49 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oalt) @
% 96.50/14.49 tc_bool) @
% 96.50/14.49 (tc_fun @
% 96.50/14.49 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oalt) @
% 96.50/14.49 tc_bool))) @
% 96.50/14.49 (hAPP @
% 96.50/14.49 (c_COMBC @
% 96.50/14.49 (c_COMBB @ c_Arrow__Order__Mirabelle_Omkbot @ v_P____ @
% 96.50/14.49 (tc_fun @
% 96.50/14.49 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oalt) @
% 96.50/14.49 tc_bool) @
% 96.50/14.49 (tc_fun @ tc_Arrow__Order__Mirabelle_Oalt @
% 96.50/14.49 (tc_fun @
% 96.50/14.49 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oalt) @
% 96.50/14.49 tc_bool)) @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oindi) @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oindi @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oalt @
% 96.50/14.49 (tc_fun @
% 96.50/14.49 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oalt) @
% 96.50/14.49 tc_bool)) @
% 96.50/14.49 v_e____) @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oindi @
% 96.50/14.49 (tc_fun @
% 96.50/14.49 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oalt) @
% 96.50/14.49 tc_bool) @
% 96.50/14.49 (tc_fun @
% 96.50/14.49 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oalt) @
% 96.50/14.49 tc_bool)) @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oindi @
% 96.50/14.49 (tc_fun @
% 96.50/14.49 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oalt) @
% 96.50/14.49 tc_bool) @
% 96.50/14.49 (tc_fun @
% 96.50/14.49 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oalt) @
% 96.50/14.49 tc_bool))))))),
% 96.50/14.49 inference('s_sup-', [status(thm)],
% 96.50/14.49 [zip_derived_cl1271, zip_derived_cl1272])).
% 96.50/14.49 thf(cls_le__refl_0, axiom, (c_lessequals @ V_n @ V_n @ tc_nat)).
% 96.50/14.49 thf(zip_derived_cl561, plain,
% 96.50/14.49 (![X0 : $i]: (c_lessequals @ X0 @ X0 @ tc_nat)),
% 96.50/14.49 inference('cnf', [status(esa)], [cls_le__refl_0])).
% 96.50/14.49 thf(zip_derived_cl27067, plain,
% 96.50/14.49 ( (hBOOL @
% 96.50/14.49 (hAPP @
% 96.50/14.49 (hAPP @
% 96.50/14.49 (c_in @
% 96.50/14.49 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oalt)) @
% 96.50/14.49 (c_Pair @ v_e____ @ v_d____ @ tc_Arrow__Order__Mirabelle_Oalt @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oalt)) @
% 96.50/14.49 (v_F @
% 96.50/14.49 (c_COMBS @
% 96.50/14.49 (c_COMBS @
% 96.50/14.49 (c_COMBB @
% 96.50/14.49 (c_HOL_OIf @
% 96.50/14.49 (tc_fun @
% 96.50/14.49 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oalt) @
% 96.50/14.49 tc_bool)) @
% 96.50/14.49 (hAPP @
% 96.50/14.49 (c_COMBC @
% 96.50/14.49 (c_COMBB @ (c_HOL_Oord__class_Oless @ tc_nat) @ v_h____ @
% 96.50/14.49 tc_nat @ (tc_fun @ tc_nat @ tc_bool) @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oindi) @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oindi @ tc_nat @ tc_bool) @
% 96.50/14.49 v_n____) @
% 96.50/14.49 tc_bool @
% 96.50/14.49 (tc_fun @
% 96.50/14.49 (tc_fun @
% 96.50/14.49 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oalt) @
% 96.50/14.49 tc_bool) @
% 96.50/14.49 (tc_fun @
% 96.50/14.49 (tc_fun @
% 96.50/14.49 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oalt) @
% 96.50/14.49 tc_bool) @
% 96.50/14.49 (tc_fun @
% 96.50/14.49 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oalt) @
% 96.50/14.49 tc_bool))) @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oindi) @
% 96.50/14.49 (hAPP @
% 96.50/14.49 (c_COMBC @
% 96.50/14.49 (c_COMBB @ c_Arrow__Order__Mirabelle_Omktop @ v_P____ @
% 96.50/14.49 (tc_fun @
% 96.50/14.49 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oalt) @
% 96.50/14.49 tc_bool) @
% 96.50/14.49 (tc_fun @ tc_Arrow__Order__Mirabelle_Oalt @
% 96.50/14.49 (tc_fun @
% 96.50/14.49 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oalt) @
% 96.50/14.49 tc_bool)) @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oindi) @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oindi @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oalt @
% 96.50/14.49 (tc_fun @
% 96.50/14.49 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oalt) @
% 96.50/14.49 tc_bool)) @
% 96.50/14.49 v_e____) @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oindi @
% 96.50/14.49 (tc_fun @
% 96.50/14.49 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oalt) @
% 96.50/14.49 tc_bool) @
% 96.50/14.49 (tc_fun @
% 96.50/14.49 (tc_fun @
% 96.50/14.49 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oalt) @
% 96.50/14.49 tc_bool) @
% 96.50/14.49 (tc_fun @
% 96.50/14.49 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oalt) @
% 96.50/14.49 tc_bool))) @
% 96.50/14.49 (c_COMBS @
% 96.50/14.49 (c_COMBS @
% 96.50/14.49 (c_COMBB @
% 96.50/14.49 (c_HOL_OIf @
% 96.50/14.49 (tc_fun @
% 96.50/14.49 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oalt) @
% 96.50/14.49 tc_bool)) @
% 96.50/14.49 (hAPP @
% 96.50/14.49 (c_COMBC @
% 96.50/14.49 (c_COMBB @ (c_fequal @ tc_nat) @ v_h____ @ tc_nat @
% 96.50/14.49 (tc_fun @ tc_nat @ tc_bool) @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oindi) @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oindi @ tc_nat @ tc_bool) @
% 96.50/14.49 v_n____) @
% 96.50/14.49 tc_bool @
% 96.50/14.49 (tc_fun @
% 96.50/14.49 (tc_fun @
% 96.50/14.49 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oalt) @
% 96.50/14.49 tc_bool) @
% 96.50/14.49 (tc_fun @
% 96.50/14.49 (tc_fun @
% 96.50/14.49 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oalt) @
% 96.50/14.49 tc_bool) @
% 96.50/14.49 (tc_fun @
% 96.50/14.49 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oalt) @
% 96.50/14.49 tc_bool))) @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oindi) @
% 96.50/14.49 (hAPP @
% 96.50/14.49 (c_COMBC @
% 96.50/14.49 (hAPP @
% 96.50/14.49 (c_COMBC @
% 96.50/14.49 (c_COMBB @ c_Arrow__Order__Mirabelle_Oabove @ v_P____ @
% 96.50/14.49 (tc_fun @
% 96.50/14.49 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oalt) @
% 96.50/14.49 tc_bool) @
% 96.50/14.49 (tc_fun @ tc_Arrow__Order__Mirabelle_Oalt @
% 96.50/14.49 (tc_fun @ tc_Arrow__Order__Mirabelle_Oalt @
% 96.50/14.49 (tc_fun @
% 96.50/14.49 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oalt) @
% 96.50/14.49 tc_bool))) @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oindi) @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oindi @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oalt @
% 96.50/14.49 (tc_fun @ tc_Arrow__Order__Mirabelle_Oalt @
% 96.50/14.49 (tc_fun @
% 96.50/14.49 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oalt) @
% 96.50/14.49 tc_bool))) @
% 96.50/14.49 v_c____) @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oindi @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oalt @
% 96.50/14.49 (tc_fun @
% 96.50/14.49 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oalt) @
% 96.50/14.49 tc_bool)) @
% 96.50/14.49 v_e____) @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oindi @
% 96.50/14.49 (tc_fun @
% 96.50/14.49 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oalt) @
% 96.50/14.49 tc_bool) @
% 96.50/14.49 (tc_fun @
% 96.50/14.49 (tc_fun @
% 96.50/14.49 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oalt) @
% 96.50/14.49 tc_bool) @
% 96.50/14.49 (tc_fun @
% 96.50/14.49 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oalt) @
% 96.50/14.49 tc_bool))) @
% 96.50/14.49 (hAPP @
% 96.50/14.49 (c_COMBC @
% 96.50/14.49 (c_COMBB @ c_Arrow__Order__Mirabelle_Omkbot @ v_P____ @
% 96.50/14.49 (tc_fun @
% 96.50/14.49 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oalt) @
% 96.50/14.49 tc_bool) @
% 96.50/14.49 (tc_fun @ tc_Arrow__Order__Mirabelle_Oalt @
% 96.50/14.49 (tc_fun @
% 96.50/14.49 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oalt) @
% 96.50/14.49 tc_bool)) @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oindi) @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oindi @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oalt @
% 96.50/14.49 (tc_fun @
% 96.50/14.49 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oalt) @
% 96.50/14.49 tc_bool)) @
% 96.50/14.49 v_e____) @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oindi @
% 96.50/14.49 (tc_fun @
% 96.50/14.49 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oalt) @
% 96.50/14.49 tc_bool) @
% 96.50/14.49 (tc_fun @
% 96.50/14.49 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oalt) @
% 96.50/14.49 tc_bool)) @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oindi @
% 96.50/14.49 (tc_fun @
% 96.50/14.49 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oalt) @
% 96.50/14.49 tc_bool) @
% 96.50/14.49 (tc_fun @
% 96.50/14.49 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 96.50/14.49 tc_Arrow__Order__Mirabelle_Oalt) @
% 96.50/14.49 tc_bool)))))),
% 96.50/14.49 inference('demod', [status(thm)],
% 96.50/14.49 [zip_derived_cl27066, zip_derived_cl561])).
% 96.50/14.49 thf(zip_derived_cl27108, plain, ($false),
% 96.50/14.49 inference('demod', [status(thm)],
% 96.50/14.49 [zip_derived_cl1274, zip_derived_cl27067])).
% 96.50/14.49
% 96.50/14.49 % SZS output end Refutation
% 96.50/14.49
% 96.50/14.49
% 96.50/14.49 % Terminating...
% 97.45/14.65 % Runner terminated.
% 97.45/14.67 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------