%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SCT085-1 : TPTP v9.2.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.pxtxwBtFE8 true
% Computer : n019.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 04:50:47 PM UTC 2025
% Result : Unsatisfiable 53.96s 8.36s
% Output : Refutation 53.96s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12 % Problem : SCT085-1 : TPTP v9.2.0. Released v4.1.0.
% 0.08/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.pxtxwBtFE8 true
% 0.13/0.35 % Computer : n019.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Wed Oct 1 15:15:08 EDT 2025
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % Running portfolio for 300 s
% 0.13/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.35 % Number of cores: 8
% 0.13/0.36 % Python version: Python 3.6.8
% 0.13/0.36 % Running in FO mode
% 0.51/0.62 % Total configuration time : 435
% 0.51/0.62 % Estimated wc time : 1092
% 0.51/0.62 % Estimated cpu time (7 cpus) : 156.0
% 0.54/0.70 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.54/0.70 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.56/0.74 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.56/0.74 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.56/0.75 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.56/0.77 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.56/0.80 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 53.96/8.36 % Solved by fo/fo6_bce.sh.
% 53.96/8.36 % BCE start: 564
% 53.96/8.36 % BCE eliminated: 154
% 53.96/8.36 % PE start: 410
% 53.96/8.36 logic: eq
% 53.96/8.36 % PE eliminated: 17
% 53.96/8.36 % done 3239 iterations in 7.629s
% 53.96/8.36 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 53.96/8.36 % SZS output start Refutation
% 53.96/8.36 thf(tc_bool_type, type, tc_bool: $i).
% 53.96/8.36 thf(tc_prod_type, type, tc_prod: $i > $i > $i).
% 53.96/8.36 thf(tc_nat_type, type, tc_nat: $i).
% 53.96/8.36 thf(c_HOL_OIf_type, type, c_HOL_OIf: $i > $i).
% 53.96/8.36 thf(c_Finite__Set_Ocard_type, type, c_Finite__Set_Ocard: $i > $i > $i).
% 53.96/8.36 thf(c_HOL_Oone__class_Oone_type, type, c_HOL_Oone__class_Oone: $i > $i).
% 53.96/8.36 thf(v_x_type, type, v_x: $i).
% 53.96/8.36 thf(hBOOL_type, type, hBOOL: $i > $o).
% 53.96/8.36 thf(hAPP_type, type, hAPP: $i > $i > $i).
% 53.96/8.36 thf(c_HOL_Oord__class_Oless_type, type, c_HOL_Oord__class_Oless: $i > $i).
% 53.96/8.36 thf(v_Lba_____type, type, v_Lba____: $i).
% 53.96/8.36 thf(v_Lab_____type, type, v_Lab____: $i).
% 53.96/8.36 thf(tc_Arrow__Order__Mirabelle_Oindi_type, type, tc_Arrow__Order__Mirabelle_Oindi:
% 53.96/8.36 $i).
% 53.96/8.36 thf(c_HOL_Oplus__class_Oplus_type, type, c_HOL_Oplus__class_Oplus: $i > $i >
% 53.96/8.36 $i > $i).
% 53.96/8.36 thf(v_a_____type, type, v_a____: $i).
% 53.96/8.36 thf(c_Pair_type, type, c_Pair: $i > $i > $i > $i > $i).
% 53.96/8.36 thf(tc_Arrow__Order__Mirabelle_Oalt_type, type, tc_Arrow__Order__Mirabelle_Oalt:
% 53.96/8.36 $i).
% 53.96/8.36 thf(v_sko__CHAINED__1_type, type, v_sko__CHAINED__1: $i > $i > $i > $i >
% 53.96/8.36 $i > $i > $i).
% 53.96/8.36 thf(v_h_____type, type, v_h____: $i).
% 53.96/8.36 thf(c_in_type, type, c_in: $i > $i).
% 53.96/8.36 thf(c_COMBC_type, type, c_COMBC: $i > $i > $i > $i > $i).
% 53.96/8.36 thf(c_Orderings_Otop__class_Otop_type, type, c_Orderings_Otop__class_Otop:
% 53.96/8.36 $i > $i).
% 53.96/8.36 thf(c_lessequals_type, type, c_lessequals: $i > $i).
% 53.96/8.36 thf(v_b_____type, type, v_b____: $i).
% 53.96/8.36 thf(v_F_type, type, v_F: $i).
% 53.96/8.36 thf(tc_fun_type, type, tc_fun: $i > $i > $i).
% 53.96/8.36 thf(c_COMBB_type, type, c_COMBB: $i > $i > $i > $i > $i > $i).
% 53.96/8.36 thf(cls_CHAINED_0_03, axiom,
% 53.96/8.36 (hBOOL @
% 53.96/8.36 ( hAPP @
% 53.96/8.36 ( hAPP @
% 53.96/8.36 ( c_HOL_Oord__class_Oless @ tc_nat ) @
% 53.96/8.36 ( v_sko__CHAINED__1 @
% 53.96/8.36 v_F @ v_Lab____ @ v_Lba____ @ v_a____ @ v_b____ @ v_h____ ) ) @
% 53.96/8.36 ( c_Finite__Set_Ocard @
% 53.96/8.36 ( c_Orderings_Otop__class_Otop @
% 53.96/8.36 ( tc_fun @ tc_Arrow__Order__Mirabelle_Oindi @ tc_bool ) ) @
% 53.96/8.36 tc_Arrow__Order__Mirabelle_Oindi ) ))).
% 53.96/8.36 thf(zip_derived_cl524, plain,
% 53.96/8.36 ( (hBOOL @
% 53.96/8.36 (hAPP @
% 53.96/8.36 (hAPP @ (c_HOL_Oord__class_Oless @ tc_nat) @
% 53.96/8.36 (v_sko__CHAINED__1 @ v_F @ v_Lab____ @ v_Lba____ @ v_a____ @
% 53.96/8.36 v_b____ @ v_h____)) @
% 53.96/8.36 (c_Finite__Set_Ocard @
% 53.96/8.36 (c_Orderings_Otop__class_Otop @
% 53.96/8.36 (tc_fun @ tc_Arrow__Order__Mirabelle_Oindi @ tc_bool)) @
% 53.96/8.36 tc_Arrow__Order__Mirabelle_Oindi)))),
% 53.96/8.36 inference('cnf', [status(esa)], [cls_CHAINED_0_03])).
% 53.96/8.36 thf(cls_conjecture_0, conjecture,
% 53.96/8.36 (~( ( ~( hBOOL @
% 53.96/8.36 ( hAPP @
% 53.96/8.36 ( hAPP @ ( c_HOL_Oord__class_Oless @ tc_nat ) @ V_xa ) @
% 53.96/8.36 ( c_Finite__Set_Ocard @
% 53.96/8.36 ( c_Orderings_Otop__class_Otop @
% 53.96/8.36 ( tc_fun @ tc_Arrow__Order__Mirabelle_Oindi @ tc_bool ) ) @
% 53.96/8.36 tc_Arrow__Order__Mirabelle_Oindi ) ) ) ) |
% 53.96/8.36 ( hBOOL @
% 53.96/8.36 ( hAPP @
% 53.96/8.36 ( hAPP @ ( c_lessequals @ tc_nat ) @ ( hAPP @ v_x @ V_xa ) ) @ V_xa ) ) |
% 53.96/8.36 ( ~( hBOOL @
% 53.96/8.36 ( hAPP @
% 53.96/8.36 ( hAPP @
% 53.96/8.36 ( c_in @
% 53.96/8.36 ( tc_prod @
% 53.96/8.36 tc_Arrow__Order__Mirabelle_Oalt @
% 53.96/8.36 tc_Arrow__Order__Mirabelle_Oalt ) ) @
% 53.96/8.36 ( c_Pair @
% 53.96/8.36 v_a____ @ v_b____ @ tc_Arrow__Order__Mirabelle_Oalt @
% 53.96/8.36 tc_Arrow__Order__Mirabelle_Oalt ) ) @
% 53.96/8.36 ( hAPP @
% 53.96/8.36 v_F @
% 53.96/8.36 ( hAPP @
% 53.96/8.36 ( c_COMBC @
% 53.96/8.36 ( hAPP @
% 53.96/8.36 ( c_COMBC @
% 53.96/8.36 ( c_COMBB @
% 53.96/8.36 ( c_HOL_OIf @
% 53.96/8.36 ( tc_fun @
% 53.96/8.36 ( tc_prod @
% 53.96/8.36 tc_Arrow__Order__Mirabelle_Oalt @
% 53.96/8.36 tc_Arrow__Order__Mirabelle_Oalt ) @
% 53.96/8.36 tc_bool ) ) @
% 53.96/8.36 ( hAPP @
% 53.96/8.36 ( c_COMBC @
% 53.96/8.36 ( c_COMBB @
% 53.96/8.36 ( c_HOL_Oord__class_Oless @ tc_nat ) @
% 53.96/8.36 v_h____ @ tc_nat @
% 53.96/8.36 ( tc_fun @ tc_nat @ tc_bool ) @
% 53.96/8.36 tc_Arrow__Order__Mirabelle_Oindi ) @
% 53.96/8.36 tc_Arrow__Order__Mirabelle_Oindi @ tc_nat @
% 53.96/8.36 tc_bool ) @
% 53.96/8.36 ( c_HOL_Oplus__class_Oplus @
% 53.96/8.36 V_xa @ ( c_HOL_Oone__class_Oone @ tc_nat ) @
% 53.96/8.36 tc_nat ) ) @
% 53.96/8.36 tc_bool @
% 53.96/8.36 ( tc_fun @
% 53.96/8.36 ( tc_fun @
% 53.96/8.36 ( tc_prod @
% 53.96/8.36 tc_Arrow__Order__Mirabelle_Oalt @
% 53.96/8.36 tc_Arrow__Order__Mirabelle_Oalt ) @
% 53.96/8.36 tc_bool ) @
% 53.96/8.36 ( tc_fun @
% 53.96/8.36 ( tc_fun @
% 53.96/8.36 ( tc_prod @
% 53.96/8.36 tc_Arrow__Order__Mirabelle_Oalt @
% 53.96/8.36 tc_Arrow__Order__Mirabelle_Oalt ) @
% 53.96/8.36 tc_bool ) @
% 53.96/8.36 ( tc_fun @
% 53.96/8.36 ( tc_prod @
% 53.96/8.36 tc_Arrow__Order__Mirabelle_Oalt @
% 53.96/8.36 tc_Arrow__Order__Mirabelle_Oalt ) @
% 53.96/8.36 tc_bool ) ) ) @
% 53.96/8.36 tc_Arrow__Order__Mirabelle_Oindi ) @
% 53.96/8.36 tc_Arrow__Order__Mirabelle_Oindi @
% 53.96/8.36 ( tc_fun @
% 53.96/8.36 ( tc_prod @
% 53.96/8.36 tc_Arrow__Order__Mirabelle_Oalt @
% 53.96/8.36 tc_Arrow__Order__Mirabelle_Oalt ) @
% 53.96/8.36 tc_bool ) @
% 53.96/8.36 ( tc_fun @
% 53.96/8.36 ( tc_fun @
% 53.96/8.36 ( tc_prod @
% 53.96/8.36 tc_Arrow__Order__Mirabelle_Oalt @
% 53.96/8.36 tc_Arrow__Order__Mirabelle_Oalt ) @
% 53.96/8.36 tc_bool ) @
% 53.96/8.36 ( tc_fun @
% 53.96/8.36 ( tc_prod @
% 53.96/8.36 tc_Arrow__Order__Mirabelle_Oalt @
% 53.96/8.36 tc_Arrow__Order__Mirabelle_Oalt ) @
% 53.96/8.36 tc_bool ) ) ) @
% 53.96/8.36 v_Lab____ ) @
% 53.96/8.36 tc_Arrow__Order__Mirabelle_Oindi @
% 53.96/8.36 ( tc_fun @
% 53.96/8.36 ( tc_prod @
% 53.96/8.36 tc_Arrow__Order__Mirabelle_Oalt @
% 53.96/8.36 tc_Arrow__Order__Mirabelle_Oalt ) @
% 53.96/8.36 tc_bool ) @
% 53.96/8.36 ( tc_fun @
% 53.96/8.36 ( tc_prod @
% 53.96/8.36 tc_Arrow__Order__Mirabelle_Oalt @
% 53.96/8.36 tc_Arrow__Order__Mirabelle_Oalt ) @
% 53.96/8.36 tc_bool ) ) @
% 53.96/8.36 v_Lba____ ) ) ) ) ) ))).
% 53.96/8.36 thf(zf_stmt_0, negated_conjecture,
% 53.96/8.36 (( ~( hBOOL @
% 53.96/8.36 ( hAPP @
% 53.96/8.36 ( hAPP @ ( c_HOL_Oord__class_Oless @ tc_nat ) @ V_xa ) @
% 53.96/8.36 ( c_Finite__Set_Ocard @
% 53.96/8.36 ( c_Orderings_Otop__class_Otop @
% 53.96/8.36 ( tc_fun @ tc_Arrow__Order__Mirabelle_Oindi @ tc_bool ) ) @
% 53.96/8.36 tc_Arrow__Order__Mirabelle_Oindi ) ) ) ) |
% 53.96/8.36 ( hBOOL @
% 53.96/8.36 ( hAPP @
% 53.96/8.36 ( hAPP @ ( c_lessequals @ tc_nat ) @ ( hAPP @ v_x @ V_xa ) ) @ V_xa ) ) |
% 53.96/8.36 ( ~( hBOOL @
% 53.96/8.36 ( hAPP @
% 53.96/8.36 ( hAPP @
% 53.96/8.36 ( c_in @
% 53.96/8.36 ( tc_prod @
% 53.96/8.36 tc_Arrow__Order__Mirabelle_Oalt @
% 53.96/8.36 tc_Arrow__Order__Mirabelle_Oalt ) ) @
% 53.96/8.36 ( c_Pair @
% 53.96/8.36 v_a____ @ v_b____ @ tc_Arrow__Order__Mirabelle_Oalt @
% 53.96/8.36 tc_Arrow__Order__Mirabelle_Oalt ) ) @
% 53.96/8.36 ( hAPP @
% 53.96/8.36 v_F @
% 53.96/8.36 ( hAPP @
% 53.96/8.36 ( c_COMBC @
% 53.96/8.36 ( hAPP @
% 53.96/8.36 ( c_COMBC @
% 53.96/8.36 ( c_COMBB @
% 53.96/8.36 ( c_HOL_OIf @
% 53.96/8.36 ( tc_fun @
% 53.96/8.36 ( tc_prod @
% 53.96/8.36 tc_Arrow__Order__Mirabelle_Oalt @
% 53.96/8.36 tc_Arrow__Order__Mirabelle_Oalt ) @
% 53.96/8.36 tc_bool ) ) @
% 53.96/8.36 ( hAPP @
% 53.96/8.36 ( c_COMBC @
% 53.96/8.36 ( c_COMBB @
% 53.96/8.36 ( c_HOL_Oord__class_Oless @ tc_nat ) @ v_h____ @
% 53.96/8.36 tc_nat @ ( tc_fun @ tc_nat @ tc_bool ) @
% 53.96/8.36 tc_Arrow__Order__Mirabelle_Oindi ) @
% 53.96/8.36 tc_Arrow__Order__Mirabelle_Oindi @ tc_nat @ tc_bool ) @
% 53.96/8.36 ( c_HOL_Oplus__class_Oplus @
% 53.96/8.36 V_xa @ ( c_HOL_Oone__class_Oone @ tc_nat ) @ tc_nat ) ) @
% 53.96/8.36 tc_bool @
% 53.96/8.36 ( tc_fun @
% 53.96/8.36 ( tc_fun @
% 53.96/8.36 ( tc_prod @
% 53.96/8.36 tc_Arrow__Order__Mirabelle_Oalt @
% 53.96/8.36 tc_Arrow__Order__Mirabelle_Oalt ) @
% 53.96/8.36 tc_bool ) @
% 53.96/8.36 ( tc_fun @
% 53.96/8.36 ( tc_fun @
% 53.96/8.36 ( tc_prod @
% 53.96/8.36 tc_Arrow__Order__Mirabelle_Oalt @
% 53.96/8.36 tc_Arrow__Order__Mirabelle_Oalt ) @
% 53.96/8.36 tc_bool ) @
% 53.96/8.36 ( tc_fun @
% 53.96/8.36 ( tc_prod @
% 53.96/8.36 tc_Arrow__Order__Mirabelle_Oalt @
% 53.96/8.36 tc_Arrow__Order__Mirabelle_Oalt ) @
% 53.96/8.36 tc_bool ) ) ) @
% 53.96/8.36 tc_Arrow__Order__Mirabelle_Oindi ) @
% 53.96/8.36 tc_Arrow__Order__Mirabelle_Oindi @
% 53.96/8.36 ( tc_fun @
% 53.96/8.36 ( tc_prod @
% 53.96/8.36 tc_Arrow__Order__Mirabelle_Oalt @
% 53.96/8.36 tc_Arrow__Order__Mirabelle_Oalt ) @
% 53.96/8.36 tc_bool ) @
% 53.96/8.36 ( tc_fun @
% 53.96/8.36 ( tc_fun @
% 53.96/8.36 ( tc_prod @
% 53.96/8.36 tc_Arrow__Order__Mirabelle_Oalt @
% 53.96/8.36 tc_Arrow__Order__Mirabelle_Oalt ) @
% 53.96/8.36 tc_bool ) @
% 53.96/8.36 ( tc_fun @
% 53.96/8.36 ( tc_prod @
% 53.96/8.36 tc_Arrow__Order__Mirabelle_Oalt @
% 53.96/8.36 tc_Arrow__Order__Mirabelle_Oalt ) @
% 53.96/8.36 tc_bool ) ) ) @
% 53.96/8.36 v_Lab____ ) @
% 53.96/8.36 tc_Arrow__Order__Mirabelle_Oindi @
% 53.96/8.36 ( tc_fun @
% 53.96/8.36 ( tc_prod @
% 53.96/8.36 tc_Arrow__Order__Mirabelle_Oalt @
% 53.96/8.36 tc_Arrow__Order__Mirabelle_Oalt ) @
% 53.96/8.36 tc_bool ) @
% 53.96/8.36 ( tc_fun @
% 53.96/8.36 ( tc_prod @
% 53.96/8.36 tc_Arrow__Order__Mirabelle_Oalt @
% 53.96/8.36 tc_Arrow__Order__Mirabelle_Oalt ) @
% 53.96/8.36 tc_bool ) ) @
% 53.96/8.36 v_Lba____ ) ) ) ) )),
% 53.96/8.36 inference('cnf.neg', [status(esa)], [cls_conjecture_0])).
% 53.96/8.36 thf(zip_derived_cl525, plain,
% 53.96/8.36 (![X0 : $i]:
% 53.96/8.36 (~ (hBOOL @
% 53.96/8.36 (hAPP @ (hAPP @ (c_HOL_Oord__class_Oless @ tc_nat) @ X0) @
% 53.96/8.36 (c_Finite__Set_Ocard @
% 53.96/8.36 (c_Orderings_Otop__class_Otop @
% 53.96/8.36 (tc_fun @ tc_Arrow__Order__Mirabelle_Oindi @ tc_bool)) @
% 53.96/8.36 tc_Arrow__Order__Mirabelle_Oindi)))
% 53.96/8.36 | (hBOOL @
% 53.96/8.36 (hAPP @ (hAPP @ (c_lessequals @ tc_nat) @ (hAPP @ v_x @ X0)) @ X0))
% 53.96/8.36 | ~ (hBOOL @
% 53.96/8.36 (hAPP @
% 53.96/8.36 (hAPP @
% 53.96/8.36 (c_in @
% 53.96/8.36 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 53.96/8.36 tc_Arrow__Order__Mirabelle_Oalt)) @
% 53.96/8.36 (c_Pair @ v_a____ @ v_b____ @
% 53.96/8.36 tc_Arrow__Order__Mirabelle_Oalt @
% 53.96/8.36 tc_Arrow__Order__Mirabelle_Oalt)) @
% 53.96/8.36 (hAPP @ v_F @
% 53.96/8.36 (hAPP @
% 53.96/8.36 (c_COMBC @
% 53.96/8.36 (hAPP @
% 53.96/8.36 (c_COMBC @
% 53.96/8.36 (c_COMBB @
% 53.96/8.36 (c_HOL_OIf @
% 53.96/8.36 (tc_fun @
% 53.96/8.36 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 53.96/8.36 tc_Arrow__Order__Mirabelle_Oalt) @
% 53.96/8.36 tc_bool)) @
% 53.96/8.36 (hAPP @
% 53.96/8.36 (c_COMBC @
% 53.96/8.36 (c_COMBB @ (c_HOL_Oord__class_Oless @ tc_nat) @
% 53.96/8.36 v_h____ @ tc_nat @ (tc_fun @ tc_nat @ tc_bool) @
% 53.96/8.36 tc_Arrow__Order__Mirabelle_Oindi) @
% 53.96/8.36 tc_Arrow__Order__Mirabelle_Oindi @ tc_nat @ tc_bool) @
% 53.96/8.36 (c_HOL_Oplus__class_Oplus @ X0 @
% 53.96/8.36 (c_HOL_Oone__class_Oone @ tc_nat) @ tc_nat)) @
% 53.96/8.36 tc_bool @
% 53.96/8.36 (tc_fun @
% 53.96/8.36 (tc_fun @
% 53.96/8.36 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 53.96/8.36 tc_Arrow__Order__Mirabelle_Oalt) @
% 53.96/8.36 tc_bool) @
% 53.96/8.36 (tc_fun @
% 53.96/8.36 (tc_fun @
% 53.96/8.36 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 53.96/8.36 tc_Arrow__Order__Mirabelle_Oalt) @
% 53.96/8.36 tc_bool) @
% 53.96/8.36 (tc_fun @
% 53.96/8.36 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 53.96/8.36 tc_Arrow__Order__Mirabelle_Oalt) @
% 53.96/8.36 tc_bool))) @
% 53.96/8.36 tc_Arrow__Order__Mirabelle_Oindi) @
% 53.96/8.36 tc_Arrow__Order__Mirabelle_Oindi @
% 53.96/8.36 (tc_fun @
% 53.96/8.36 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 53.96/8.36 tc_Arrow__Order__Mirabelle_Oalt) @
% 53.96/8.36 tc_bool) @
% 53.96/8.36 (tc_fun @
% 53.96/8.36 (tc_fun @
% 53.96/8.36 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 53.96/8.36 tc_Arrow__Order__Mirabelle_Oalt) @
% 53.96/8.36 tc_bool) @
% 53.96/8.36 (tc_fun @
% 53.96/8.36 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 53.96/8.36 tc_Arrow__Order__Mirabelle_Oalt) @
% 53.96/8.36 tc_bool))) @
% 53.96/8.36 v_Lab____) @
% 53.96/8.36 tc_Arrow__Order__Mirabelle_Oindi @
% 53.96/8.36 (tc_fun @
% 53.96/8.36 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 53.96/8.36 tc_Arrow__Order__Mirabelle_Oalt) @
% 53.96/8.36 tc_bool) @
% 53.96/8.36 (tc_fun @
% 53.96/8.36 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 53.96/8.36 tc_Arrow__Order__Mirabelle_Oalt) @
% 53.96/8.36 tc_bool)) @
% 53.96/8.36 v_Lba____)))))),
% 53.96/8.36 inference('cnf', [status(esa)], [zf_stmt_0])).
% 53.96/8.36 thf(zip_derived_cl5552, plain,
% 53.96/8.36 (( (hBOOL @
% 53.96/8.36 (hAPP @
% 53.96/8.36 (hAPP @ (c_lessequals @ tc_nat) @
% 53.96/8.36 (hAPP @ v_x @
% 53.96/8.36 (v_sko__CHAINED__1 @ v_F @ v_Lab____ @ v_Lba____ @ v_a____ @
% 53.96/8.36 v_b____ @ v_h____))) @
% 53.96/8.36 (v_sko__CHAINED__1 @ v_F @ v_Lab____ @ v_Lba____ @ v_a____ @
% 53.96/8.36 v_b____ @ v_h____)))
% 53.96/8.36 | ~ (hBOOL @
% 53.96/8.36 (hAPP @
% 53.96/8.36 (hAPP @
% 53.96/8.36 (c_in @
% 53.96/8.36 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 53.96/8.36 tc_Arrow__Order__Mirabelle_Oalt)) @
% 53.96/8.36 (c_Pair @ v_a____ @ v_b____ @ tc_Arrow__Order__Mirabelle_Oalt @
% 53.96/8.36 tc_Arrow__Order__Mirabelle_Oalt)) @
% 53.96/8.36 (hAPP @ v_F @
% 53.96/8.36 (hAPP @
% 53.96/8.36 (c_COMBC @
% 53.96/8.36 (hAPP @
% 53.96/8.36 (c_COMBC @
% 53.96/8.36 (c_COMBB @
% 53.96/8.36 (c_HOL_OIf @
% 53.96/8.36 (tc_fun @
% 53.96/8.36 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 53.96/8.36 tc_Arrow__Order__Mirabelle_Oalt) @
% 53.96/8.36 tc_bool)) @
% 53.96/8.36 (hAPP @
% 53.96/8.36 (c_COMBC @
% 53.96/8.36 (c_COMBB @ (c_HOL_Oord__class_Oless @ tc_nat) @
% 53.96/8.36 v_h____ @ tc_nat @ (tc_fun @ tc_nat @ tc_bool) @
% 53.96/8.36 tc_Arrow__Order__Mirabelle_Oindi) @
% 53.96/8.36 tc_Arrow__Order__Mirabelle_Oindi @ tc_nat @ tc_bool) @
% 53.96/8.36 (c_HOL_Oplus__class_Oplus @
% 53.96/8.36 (v_sko__CHAINED__1 @ v_F @ v_Lab____ @ v_Lba____ @
% 53.96/8.36 v_a____ @ v_b____ @ v_h____) @
% 53.96/8.36 (c_HOL_Oone__class_Oone @ tc_nat) @ tc_nat)) @
% 53.96/8.36 tc_bool @
% 53.96/8.36 (tc_fun @
% 53.96/8.36 (tc_fun @
% 53.96/8.36 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 53.96/8.36 tc_Arrow__Order__Mirabelle_Oalt) @
% 53.96/8.36 tc_bool) @
% 53.96/8.36 (tc_fun @
% 53.96/8.36 (tc_fun @
% 53.96/8.36 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 53.96/8.36 tc_Arrow__Order__Mirabelle_Oalt) @
% 53.96/8.36 tc_bool) @
% 53.96/8.36 (tc_fun @
% 53.96/8.36 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 53.96/8.36 tc_Arrow__Order__Mirabelle_Oalt) @
% 53.96/8.36 tc_bool))) @
% 53.96/8.36 tc_Arrow__Order__Mirabelle_Oindi) @
% 53.96/8.36 tc_Arrow__Order__Mirabelle_Oindi @
% 53.96/8.36 (tc_fun @
% 53.96/8.36 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 53.96/8.36 tc_Arrow__Order__Mirabelle_Oalt) @
% 53.96/8.36 tc_bool) @
% 53.96/8.36 (tc_fun @
% 53.96/8.36 (tc_fun @
% 53.96/8.36 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 53.96/8.36 tc_Arrow__Order__Mirabelle_Oalt) @
% 53.96/8.36 tc_bool) @
% 53.96/8.36 (tc_fun @
% 53.96/8.36 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 53.96/8.36 tc_Arrow__Order__Mirabelle_Oalt) @
% 53.96/8.36 tc_bool))) @
% 53.96/8.36 v_Lab____) @
% 53.96/8.36 tc_Arrow__Order__Mirabelle_Oindi @
% 53.96/8.36 (tc_fun @
% 53.96/8.36 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 53.96/8.36 tc_Arrow__Order__Mirabelle_Oalt) @
% 53.96/8.36 tc_bool) @
% 53.96/8.36 (tc_fun @
% 53.96/8.36 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 53.96/8.36 tc_Arrow__Order__Mirabelle_Oalt) @
% 53.96/8.36 tc_bool)) @
% 53.96/8.36 v_Lba____)))))),
% 53.96/8.36 inference('s_sup-', [status(thm)], [zip_derived_cl524, zip_derived_cl525])).
% 53.96/8.36 thf(cls_nat__add__commute_0, axiom,
% 53.96/8.36 (( c_HOL_Oplus__class_Oplus @ V_m @ V_n @ tc_nat ) =
% 53.96/8.36 ( c_HOL_Oplus__class_Oplus @ V_n @ V_m @ tc_nat ))).
% 53.96/8.36 thf(zip_derived_cl467, plain,
% 53.96/8.36 (![X0 : $i, X1 : $i]:
% 53.96/8.36 ((c_HOL_Oplus__class_Oplus @ X1 @ X0 @ tc_nat)
% 53.96/8.36 = (c_HOL_Oplus__class_Oplus @ X0 @ X1 @ tc_nat))),
% 53.96/8.36 inference('cnf', [status(esa)], [cls_nat__add__commute_0])).
% 53.96/8.36 thf(cls_CHAINED_2, axiom,
% 53.96/8.36 (hBOOL @
% 53.96/8.36 ( hAPP @
% 53.96/8.36 ( hAPP @
% 53.96/8.36 ( c_in @
% 53.96/8.36 ( tc_prod @
% 53.96/8.36 tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) ) @
% 53.96/8.36 ( c_Pair @
% 53.96/8.36 v_a____ @ v_b____ @ tc_Arrow__Order__Mirabelle_Oalt @
% 53.96/8.36 tc_Arrow__Order__Mirabelle_Oalt ) ) @
% 53.96/8.36 ( hAPP @
% 53.96/8.36 v_F @
% 53.96/8.36 ( hAPP @
% 53.96/8.36 ( c_COMBC @
% 53.96/8.36 ( hAPP @
% 53.96/8.36 ( c_COMBC @
% 53.96/8.36 ( c_COMBB @
% 53.96/8.36 ( c_HOL_OIf @
% 53.96/8.36 ( tc_fun @
% 53.96/8.36 ( tc_prod @
% 53.96/8.36 tc_Arrow__Order__Mirabelle_Oalt @
% 53.96/8.36 tc_Arrow__Order__Mirabelle_Oalt ) @
% 53.96/8.36 tc_bool ) ) @
% 53.96/8.36 ( hAPP @
% 53.96/8.36 ( c_COMBC @
% 53.96/8.36 ( c_COMBB @
% 53.96/8.36 ( c_HOL_Oord__class_Oless @ tc_nat ) @ v_h____ @
% 53.96/8.36 tc_nat @ ( tc_fun @ tc_nat @ tc_bool ) @
% 53.96/8.36 tc_Arrow__Order__Mirabelle_Oindi ) @
% 53.96/8.36 tc_Arrow__Order__Mirabelle_Oindi @ tc_nat @ tc_bool ) @
% 53.96/8.36 ( c_HOL_Oplus__class_Oplus @
% 53.96/8.36 ( v_sko__CHAINED__1 @
% 53.96/8.36 v_F @ v_Lab____ @ v_Lba____ @ v_a____ @ v_b____ @
% 53.96/8.36 v_h____ ) @
% 53.96/8.36 ( c_HOL_Oone__class_Oone @ tc_nat ) @ tc_nat ) ) @
% 53.96/8.36 tc_bool @
% 53.96/8.36 ( tc_fun @
% 53.96/8.36 ( tc_fun @
% 53.96/8.36 ( tc_prod @
% 53.96/8.36 tc_Arrow__Order__Mirabelle_Oalt @
% 53.96/8.36 tc_Arrow__Order__Mirabelle_Oalt ) @
% 53.96/8.36 tc_bool ) @
% 53.96/8.36 ( tc_fun @
% 53.96/8.36 ( tc_fun @
% 53.96/8.36 ( tc_prod @
% 53.96/8.36 tc_Arrow__Order__Mirabelle_Oalt @
% 53.96/8.36 tc_Arrow__Order__Mirabelle_Oalt ) @
% 53.96/8.36 tc_bool ) @
% 53.96/8.36 ( tc_fun @
% 53.96/8.36 ( tc_prod @
% 53.96/8.36 tc_Arrow__Order__Mirabelle_Oalt @
% 53.96/8.36 tc_Arrow__Order__Mirabelle_Oalt ) @
% 53.96/8.36 tc_bool ) ) ) @
% 53.96/8.36 tc_Arrow__Order__Mirabelle_Oindi ) @
% 53.96/8.36 tc_Arrow__Order__Mirabelle_Oindi @
% 53.96/8.36 ( tc_fun @
% 53.96/8.36 ( tc_prod @
% 53.96/8.36 tc_Arrow__Order__Mirabelle_Oalt @
% 53.96/8.36 tc_Arrow__Order__Mirabelle_Oalt ) @
% 53.96/8.36 tc_bool ) @
% 53.96/8.36 ( tc_fun @
% 53.96/8.36 ( tc_fun @
% 53.96/8.36 ( tc_prod @
% 53.96/8.36 tc_Arrow__Order__Mirabelle_Oalt @
% 53.96/8.36 tc_Arrow__Order__Mirabelle_Oalt ) @
% 53.96/8.36 tc_bool ) @
% 53.96/8.36 ( tc_fun @
% 53.96/8.36 ( tc_prod @
% 53.96/8.36 tc_Arrow__Order__Mirabelle_Oalt @
% 53.96/8.36 tc_Arrow__Order__Mirabelle_Oalt ) @
% 53.96/8.36 tc_bool ) ) ) @
% 53.96/8.36 v_Lab____ ) @
% 53.96/8.36 tc_Arrow__Order__Mirabelle_Oindi @
% 53.96/8.36 ( tc_fun @
% 53.96/8.36 ( tc_prod @
% 53.96/8.36 tc_Arrow__Order__Mirabelle_Oalt @
% 53.96/8.36 tc_Arrow__Order__Mirabelle_Oalt ) @
% 53.96/8.36 tc_bool ) @
% 53.96/8.36 ( tc_fun @
% 53.96/8.36 ( tc_prod @
% 53.96/8.36 tc_Arrow__Order__Mirabelle_Oalt @
% 53.96/8.36 tc_Arrow__Order__Mirabelle_Oalt ) @
% 53.96/8.36 tc_bool ) ) @
% 53.96/8.36 v_Lba____ ) ) ))).
% 53.96/8.36 thf(zip_derived_cl522, plain,
% 53.96/8.36 ( (hBOOL @
% 53.96/8.36 (hAPP @
% 53.96/8.36 (hAPP @
% 53.96/8.36 (c_in @
% 53.96/8.36 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 53.96/8.36 tc_Arrow__Order__Mirabelle_Oalt)) @
% 53.96/8.36 (c_Pair @ v_a____ @ v_b____ @ tc_Arrow__Order__Mirabelle_Oalt @
% 53.96/8.36 tc_Arrow__Order__Mirabelle_Oalt)) @
% 53.96/8.36 (hAPP @ v_F @
% 53.96/8.36 (hAPP @
% 53.96/8.36 (c_COMBC @
% 53.96/8.36 (hAPP @
% 53.96/8.36 (c_COMBC @
% 53.96/8.36 (c_COMBB @
% 53.96/8.36 (c_HOL_OIf @
% 53.96/8.36 (tc_fun @
% 53.96/8.36 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 53.96/8.36 tc_Arrow__Order__Mirabelle_Oalt) @
% 53.96/8.36 tc_bool)) @
% 53.96/8.36 (hAPP @
% 53.96/8.36 (c_COMBC @
% 53.96/8.36 (c_COMBB @ (c_HOL_Oord__class_Oless @ tc_nat) @ v_h____ @
% 53.96/8.36 tc_nat @ (tc_fun @ tc_nat @ tc_bool) @
% 53.96/8.36 tc_Arrow__Order__Mirabelle_Oindi) @
% 53.96/8.36 tc_Arrow__Order__Mirabelle_Oindi @ tc_nat @ tc_bool) @
% 53.96/8.36 (c_HOL_Oplus__class_Oplus @
% 53.96/8.36 (v_sko__CHAINED__1 @ v_F @ v_Lab____ @ v_Lba____ @ v_a____ @
% 53.96/8.36 v_b____ @ v_h____) @
% 53.96/8.36 (c_HOL_Oone__class_Oone @ tc_nat) @ tc_nat)) @
% 53.96/8.36 tc_bool @
% 53.96/8.36 (tc_fun @
% 53.96/8.36 (tc_fun @
% 53.96/8.36 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 53.96/8.36 tc_Arrow__Order__Mirabelle_Oalt) @
% 53.96/8.36 tc_bool) @
% 53.96/8.36 (tc_fun @
% 53.96/8.36 (tc_fun @
% 53.96/8.36 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 53.96/8.36 tc_Arrow__Order__Mirabelle_Oalt) @
% 53.96/8.36 tc_bool) @
% 53.96/8.36 (tc_fun @
% 53.96/8.36 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 53.96/8.36 tc_Arrow__Order__Mirabelle_Oalt) @
% 53.96/8.36 tc_bool))) @
% 53.96/8.36 tc_Arrow__Order__Mirabelle_Oindi) @
% 53.96/8.36 tc_Arrow__Order__Mirabelle_Oindi @
% 53.96/8.36 (tc_fun @
% 53.96/8.36 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 53.96/8.36 tc_Arrow__Order__Mirabelle_Oalt) @
% 53.96/8.36 tc_bool) @
% 53.96/8.36 (tc_fun @
% 53.96/8.36 (tc_fun @
% 53.96/8.36 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 53.96/8.36 tc_Arrow__Order__Mirabelle_Oalt) @
% 53.96/8.36 tc_bool) @
% 53.96/8.36 (tc_fun @
% 53.96/8.36 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 53.96/8.36 tc_Arrow__Order__Mirabelle_Oalt) @
% 53.96/8.36 tc_bool))) @
% 53.96/8.36 v_Lab____) @
% 53.96/8.36 tc_Arrow__Order__Mirabelle_Oindi @
% 53.96/8.36 (tc_fun @
% 53.96/8.36 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 53.96/8.36 tc_Arrow__Order__Mirabelle_Oalt) @
% 53.96/8.36 tc_bool) @
% 53.96/8.36 (tc_fun @
% 53.96/8.36 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 53.96/8.36 tc_Arrow__Order__Mirabelle_Oalt) @
% 53.96/8.36 tc_bool)) @
% 53.96/8.36 v_Lba____))))),
% 53.96/8.36 inference('cnf', [status(esa)], [cls_CHAINED_2])).
% 53.96/8.36 thf(zip_derived_cl467, plain,
% 53.96/8.36 (![X0 : $i, X1 : $i]:
% 53.96/8.36 ((c_HOL_Oplus__class_Oplus @ X1 @ X0 @ tc_nat)
% 53.96/8.36 = (c_HOL_Oplus__class_Oplus @ X0 @ X1 @ tc_nat))),
% 53.96/8.36 inference('cnf', [status(esa)], [cls_nat__add__commute_0])).
% 53.96/8.36 thf(zip_derived_cl5494, plain,
% 53.96/8.36 ( (hBOOL @
% 53.96/8.36 (hAPP @
% 53.96/8.36 (hAPP @
% 53.96/8.36 (c_in @
% 53.96/8.36 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 53.96/8.36 tc_Arrow__Order__Mirabelle_Oalt)) @
% 53.96/8.36 (c_Pair @ v_a____ @ v_b____ @ tc_Arrow__Order__Mirabelle_Oalt @
% 53.96/8.36 tc_Arrow__Order__Mirabelle_Oalt)) @
% 53.96/8.36 (hAPP @ v_F @
% 53.96/8.36 (hAPP @
% 53.96/8.36 (c_COMBC @
% 53.96/8.36 (hAPP @
% 53.96/8.36 (c_COMBC @
% 53.96/8.36 (c_COMBB @
% 53.96/8.36 (c_HOL_OIf @
% 53.96/8.36 (tc_fun @
% 53.96/8.36 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 53.96/8.36 tc_Arrow__Order__Mirabelle_Oalt) @
% 53.96/8.36 tc_bool)) @
% 53.96/8.36 (hAPP @
% 53.96/8.36 (c_COMBC @
% 53.96/8.36 (c_COMBB @ (c_HOL_Oord__class_Oless @ tc_nat) @ v_h____ @
% 53.96/8.36 tc_nat @ (tc_fun @ tc_nat @ tc_bool) @
% 53.96/8.36 tc_Arrow__Order__Mirabelle_Oindi) @
% 53.96/8.36 tc_Arrow__Order__Mirabelle_Oindi @ tc_nat @ tc_bool) @
% 53.96/8.36 (c_HOL_Oplus__class_Oplus @
% 53.96/8.36 (c_HOL_Oone__class_Oone @ tc_nat) @
% 53.96/8.36 (v_sko__CHAINED__1 @ v_F @ v_Lab____ @ v_Lba____ @ v_a____ @
% 53.96/8.36 v_b____ @ v_h____) @
% 53.96/8.36 tc_nat)) @
% 53.96/8.36 tc_bool @
% 53.96/8.36 (tc_fun @
% 53.96/8.36 (tc_fun @
% 53.96/8.36 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 53.96/8.36 tc_Arrow__Order__Mirabelle_Oalt) @
% 53.96/8.36 tc_bool) @
% 53.96/8.36 (tc_fun @
% 53.96/8.36 (tc_fun @
% 53.96/8.36 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 53.96/8.36 tc_Arrow__Order__Mirabelle_Oalt) @
% 53.96/8.36 tc_bool) @
% 53.96/8.36 (tc_fun @
% 53.96/8.36 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 53.96/8.36 tc_Arrow__Order__Mirabelle_Oalt) @
% 53.96/8.36 tc_bool))) @
% 53.96/8.36 tc_Arrow__Order__Mirabelle_Oindi) @
% 53.96/8.36 tc_Arrow__Order__Mirabelle_Oindi @
% 53.96/8.36 (tc_fun @
% 53.96/8.36 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 53.96/8.36 tc_Arrow__Order__Mirabelle_Oalt) @
% 53.96/8.36 tc_bool) @
% 53.96/8.36 (tc_fun @
% 53.96/8.36 (tc_fun @
% 53.96/8.36 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 53.96/8.36 tc_Arrow__Order__Mirabelle_Oalt) @
% 53.96/8.36 tc_bool) @
% 53.96/8.36 (tc_fun @
% 53.96/8.36 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 53.96/8.36 tc_Arrow__Order__Mirabelle_Oalt) @
% 53.96/8.36 tc_bool))) @
% 53.96/8.36 v_Lab____) @
% 53.96/8.36 tc_Arrow__Order__Mirabelle_Oindi @
% 53.96/8.36 (tc_fun @
% 53.96/8.36 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 53.96/8.36 tc_Arrow__Order__Mirabelle_Oalt) @
% 53.96/8.36 tc_bool) @
% 53.96/8.36 (tc_fun @
% 53.96/8.36 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 53.96/8.36 tc_Arrow__Order__Mirabelle_Oalt) @
% 53.96/8.36 tc_bool)) @
% 53.96/8.36 v_Lba____))))),
% 53.96/8.36 inference('demod', [status(thm)], [zip_derived_cl522, zip_derived_cl467])).
% 53.96/8.36 thf(zip_derived_cl5555, plain,
% 53.96/8.36 ( (hBOOL @
% 53.96/8.36 (hAPP @
% 53.96/8.36 (hAPP @ (c_lessequals @ tc_nat) @
% 53.96/8.36 (hAPP @ v_x @
% 53.96/8.36 (v_sko__CHAINED__1 @ v_F @ v_Lab____ @ v_Lba____ @ v_a____ @
% 53.96/8.36 v_b____ @ v_h____))) @
% 53.96/8.36 (v_sko__CHAINED__1 @ v_F @ v_Lab____ @ v_Lba____ @ v_a____ @
% 53.96/8.36 v_b____ @ v_h____)))),
% 53.96/8.36 inference('demod', [status(thm)],
% 53.96/8.36 [zip_derived_cl5552, zip_derived_cl467, zip_derived_cl5494])).
% 53.96/8.36 thf(cls_CHAINED_1_02, axiom,
% 53.96/8.36 (( ~( hBOOL @
% 53.96/8.36 ( hAPP @
% 53.96/8.36 ( hAPP @
% 53.96/8.36 ( c_in @
% 53.96/8.36 ( tc_prod @
% 53.96/8.36 tc_Arrow__Order__Mirabelle_Oalt @
% 53.96/8.36 tc_Arrow__Order__Mirabelle_Oalt ) ) @
% 53.96/8.36 ( c_Pair @
% 53.96/8.36 v_a____ @ v_b____ @ tc_Arrow__Order__Mirabelle_Oalt @
% 53.96/8.36 tc_Arrow__Order__Mirabelle_Oalt ) ) @
% 53.96/8.36 ( hAPP @
% 53.96/8.36 v_F @
% 53.96/8.36 ( hAPP @
% 53.96/8.36 ( c_COMBC @
% 53.96/8.36 ( hAPP @
% 53.96/8.36 ( c_COMBC @
% 53.96/8.36 ( c_COMBB @
% 53.96/8.36 ( c_HOL_OIf @
% 53.96/8.36 ( tc_fun @
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% 53.96/8.36 tc_bool)) @
% 53.96/8.36 (hAPP @
% 53.96/8.36 (c_COMBC @
% 53.96/8.36 (c_COMBB @ (c_HOL_Oord__class_Oless @ tc_nat) @ v_h____ @
% 53.96/8.36 tc_nat @ (tc_fun @ tc_nat @ tc_bool) @
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% 53.96/8.36 tc_Arrow__Order__Mirabelle_Oindi @ tc_nat @ tc_bool) @
% 53.96/8.36 X0) @
% 53.96/8.36 tc_bool @
% 53.96/8.36 (tc_fun @
% 53.96/8.36 (tc_fun @
% 53.96/8.36 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 53.96/8.36 tc_Arrow__Order__Mirabelle_Oalt) @
% 53.96/8.36 tc_bool) @
% 53.96/8.36 (tc_fun @
% 53.96/8.36 (tc_fun @
% 53.96/8.36 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 53.96/8.36 tc_Arrow__Order__Mirabelle_Oalt) @
% 53.96/8.36 tc_bool) @
% 53.96/8.36 (tc_fun @
% 53.96/8.36 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 53.96/8.36 tc_Arrow__Order__Mirabelle_Oalt) @
% 53.96/8.36 tc_bool))) @
% 53.96/8.36 tc_Arrow__Order__Mirabelle_Oindi) @
% 53.96/8.36 tc_Arrow__Order__Mirabelle_Oindi @
% 53.96/8.36 (tc_fun @
% 53.96/8.36 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 53.96/8.36 tc_Arrow__Order__Mirabelle_Oalt) @
% 53.96/8.36 tc_bool) @
% 53.96/8.36 (tc_fun @
% 53.96/8.36 (tc_fun @
% 53.96/8.36 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 53.96/8.36 tc_Arrow__Order__Mirabelle_Oalt) @
% 53.96/8.36 tc_bool) @
% 53.96/8.36 (tc_fun @
% 53.96/8.36 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 53.96/8.36 tc_Arrow__Order__Mirabelle_Oalt) @
% 53.96/8.36 tc_bool))) @
% 53.96/8.36 v_Lab____) @
% 53.96/8.36 tc_Arrow__Order__Mirabelle_Oindi @
% 53.96/8.36 (tc_fun @
% 53.96/8.36 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 53.96/8.36 tc_Arrow__Order__Mirabelle_Oalt) @
% 53.96/8.36 tc_bool) @
% 53.96/8.36 (tc_fun @
% 53.96/8.36 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 53.96/8.36 tc_Arrow__Order__Mirabelle_Oalt) @
% 53.96/8.36 tc_bool)) @
% 53.96/8.36 v_Lba____))))
% 53.96/8.36 | (hBOOL @
% 53.96/8.36 (hAPP @
% 53.96/8.36 (hAPP @
% 53.96/8.36 (c_in @
% 53.96/8.36 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 53.96/8.36 tc_Arrow__Order__Mirabelle_Oalt)) @
% 53.96/8.36 (c_Pair @ v_a____ @ v_b____ @
% 53.96/8.36 tc_Arrow__Order__Mirabelle_Oalt @
% 53.96/8.36 tc_Arrow__Order__Mirabelle_Oalt)) @
% 53.96/8.36 (hAPP @ v_F @
% 53.96/8.36 (hAPP @
% 53.96/8.36 (c_COMBC @
% 53.96/8.36 (hAPP @
% 53.96/8.36 (c_COMBC @
% 53.96/8.36 (c_COMBB @
% 53.96/8.36 (c_HOL_OIf @
% 53.96/8.36 (tc_fun @
% 53.96/8.36 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 53.96/8.36 tc_Arrow__Order__Mirabelle_Oalt) @
% 53.96/8.36 tc_bool)) @
% 53.96/8.36 (hAPP @
% 53.96/8.36 (c_COMBC @
% 53.96/8.36 (c_COMBB @ (c_HOL_Oord__class_Oless @ tc_nat) @
% 53.96/8.36 v_h____ @ tc_nat @ (tc_fun @ tc_nat @ tc_bool) @
% 53.96/8.36 tc_Arrow__Order__Mirabelle_Oindi) @
% 53.96/8.36 tc_Arrow__Order__Mirabelle_Oindi @ tc_nat @ tc_bool) @
% 53.96/8.36 X0) @
% 53.96/8.36 tc_bool @
% 53.96/8.36 (tc_fun @
% 53.96/8.36 (tc_fun @
% 53.96/8.36 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 53.96/8.36 tc_Arrow__Order__Mirabelle_Oalt) @
% 53.96/8.36 tc_bool) @
% 53.96/8.36 (tc_fun @
% 53.96/8.36 (tc_fun @
% 53.96/8.36 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 53.96/8.36 tc_Arrow__Order__Mirabelle_Oalt) @
% 53.96/8.36 tc_bool) @
% 53.96/8.36 (tc_fun @
% 53.96/8.36 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 53.96/8.36 tc_Arrow__Order__Mirabelle_Oalt) @
% 53.96/8.36 tc_bool))) @
% 53.96/8.36 tc_Arrow__Order__Mirabelle_Oindi) @
% 53.96/8.36 tc_Arrow__Order__Mirabelle_Oindi @
% 53.96/8.36 (tc_fun @
% 53.96/8.36 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 53.96/8.36 tc_Arrow__Order__Mirabelle_Oalt) @
% 53.96/8.36 tc_bool) @
% 53.96/8.36 (tc_fun @
% 53.96/8.36 (tc_fun @
% 53.96/8.36 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 53.96/8.36 tc_Arrow__Order__Mirabelle_Oalt) @
% 53.96/8.36 tc_bool) @
% 53.96/8.36 (tc_fun @
% 53.96/8.36 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 53.96/8.36 tc_Arrow__Order__Mirabelle_Oalt) @
% 53.96/8.36 tc_bool))) @
% 53.96/8.36 v_Lab____) @
% 53.96/8.36 tc_Arrow__Order__Mirabelle_Oindi @
% 53.96/8.36 (tc_fun @
% 53.96/8.36 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 53.96/8.36 tc_Arrow__Order__Mirabelle_Oalt) @
% 53.96/8.36 tc_bool) @
% 53.96/8.36 (tc_fun @
% 53.96/8.36 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 53.96/8.36 tc_Arrow__Order__Mirabelle_Oalt) @
% 53.96/8.36 tc_bool)) @
% 53.96/8.36 v_Lba____)))))),
% 53.96/8.36 inference('cnf', [status(esa)], [cls_CHAINED_0_01])).
% 53.96/8.36 thf(zip_derived_cl524, plain,
% 53.96/8.36 ( (hBOOL @
% 53.96/8.36 (hAPP @
% 53.96/8.36 (hAPP @ (c_HOL_Oord__class_Oless @ tc_nat) @
% 53.96/8.36 (v_sko__CHAINED__1 @ v_F @ v_Lab____ @ v_Lba____ @ v_a____ @
% 53.96/8.36 v_b____ @ v_h____)) @
% 53.96/8.36 (c_Finite__Set_Ocard @
% 53.96/8.36 (c_Orderings_Otop__class_Otop @
% 53.96/8.36 (tc_fun @ tc_Arrow__Order__Mirabelle_Oindi @ tc_bool)) @
% 53.96/8.36 tc_Arrow__Order__Mirabelle_Oindi)))),
% 53.96/8.36 inference('cnf', [status(esa)], [cls_CHAINED_0_03])).
% 53.96/8.36 thf(cls_conjecture_1, conjecture,
% 53.96/8.36 (~( ( ~( hBOOL @
% 53.96/8.36 ( hAPP @
% 53.96/8.36 ( hAPP @ ( c_HOL_Oord__class_Oless @ tc_nat ) @ V_xa ) @
% 53.96/8.36 ( c_Finite__Set_Ocard @
% 53.96/8.36 ( c_Orderings_Otop__class_Otop @
% 53.96/8.36 ( tc_fun @ tc_Arrow__Order__Mirabelle_Oindi @ tc_bool ) ) @
% 53.96/8.36 tc_Arrow__Order__Mirabelle_Oindi ) ) ) ) |
% 53.96/8.36 ( ~( hBOOL @
% 53.96/8.36 ( hAPP @
% 53.96/8.36 ( hAPP @
% 53.96/8.36 ( c_in @
% 53.96/8.36 ( tc_prod @
% 53.96/8.36 tc_Arrow__Order__Mirabelle_Oalt @
% 53.96/8.36 tc_Arrow__Order__Mirabelle_Oalt ) ) @
% 53.96/8.36 ( c_Pair @
% 53.96/8.36 v_b____ @ v_a____ @ tc_Arrow__Order__Mirabelle_Oalt @
% 53.96/8.36 tc_Arrow__Order__Mirabelle_Oalt ) ) @
% 53.96/8.36 ( hAPP @
% 53.96/8.36 v_F @
% 53.96/8.36 ( hAPP @
% 53.96/8.36 ( c_COMBC @
% 53.96/8.36 ( hAPP @
% 53.96/8.36 ( c_COMBC @
% 53.96/8.36 ( c_COMBB @
% 53.96/8.36 ( c_HOL_OIf @
% 53.96/8.36 ( tc_fun @
% 53.96/8.36 ( tc_prod @
% 53.96/8.36 tc_Arrow__Order__Mirabelle_Oalt @
% 53.96/8.36 tc_Arrow__Order__Mirabelle_Oalt ) @
% 53.96/8.36 tc_bool ) ) @
% 53.96/8.36 ( hAPP @
% 53.96/8.36 ( c_COMBC @
% 53.96/8.36 ( c_COMBB @
% 53.96/8.36 ( c_HOL_Oord__class_Oless @ tc_nat ) @
% 53.96/8.36 v_h____ @ tc_nat @
% 53.96/8.36 ( tc_fun @ tc_nat @ tc_bool ) @
% 53.96/8.36 tc_Arrow__Order__Mirabelle_Oindi ) @
% 53.96/8.36 tc_Arrow__Order__Mirabelle_Oindi @ tc_nat @
% 53.96/8.36 tc_bool ) @
% 53.96/8.36 ( hAPP @ v_x @ V_xa ) ) @
% 53.96/8.36 tc_bool @
% 53.96/8.36 ( tc_fun @
% 53.96/8.36 ( tc_fun @
% 53.96/8.36 ( tc_prod @
% 53.96/8.36 tc_Arrow__Order__Mirabelle_Oalt @
% 53.96/8.36 tc_Arrow__Order__Mirabelle_Oalt ) @
% 53.96/8.36 tc_bool ) @
% 53.96/8.36 ( tc_fun @
% 53.96/8.36 ( tc_fun @
% 53.96/8.36 ( tc_prod @
% 53.96/8.36 tc_Arrow__Order__Mirabelle_Oalt @
% 53.96/8.36 tc_Arrow__Order__Mirabelle_Oalt ) @
% 53.96/8.36 tc_bool ) @
% 53.96/8.36 ( tc_fun @
% 53.96/8.36 ( tc_prod @
% 53.96/8.36 tc_Arrow__Order__Mirabelle_Oalt @
% 53.96/8.36 tc_Arrow__Order__Mirabelle_Oalt ) @
% 53.96/8.36 tc_bool ) ) ) @
% 53.96/8.36 tc_Arrow__Order__Mirabelle_Oindi ) @
% 53.96/8.36 tc_Arrow__Order__Mirabelle_Oindi @
% 53.96/8.36 ( tc_fun @
% 53.96/8.36 ( tc_prod @
% 53.96/8.36 tc_Arrow__Order__Mirabelle_Oalt @
% 53.96/8.36 tc_Arrow__Order__Mirabelle_Oalt ) @
% 53.96/8.36 tc_bool ) @
% 53.96/8.36 ( tc_fun @
% 53.96/8.36 ( tc_fun @
% 53.96/8.36 ( tc_prod @
% 53.96/8.36 tc_Arrow__Order__Mirabelle_Oalt @
% 53.96/8.36 tc_Arrow__Order__Mirabelle_Oalt ) @
% 53.96/8.36 tc_bool ) @
% 53.96/8.36 ( tc_fun @
% 53.96/8.36 ( tc_prod @
% 53.96/8.36 tc_Arrow__Order__Mirabelle_Oalt @
% 53.96/8.36 tc_Arrow__Order__Mirabelle_Oalt ) @
% 53.96/8.36 tc_bool ) ) ) @
% 53.96/8.36 v_Lab____ ) @
% 53.96/8.36 tc_Arrow__Order__Mirabelle_Oindi @
% 53.96/8.36 ( tc_fun @
% 53.96/8.36 ( tc_prod @
% 53.96/8.36 tc_Arrow__Order__Mirabelle_Oalt @
% 53.96/8.36 tc_Arrow__Order__Mirabelle_Oalt ) @
% 53.96/8.36 tc_bool ) @
% 53.96/8.36 ( tc_fun @
% 53.96/8.36 ( tc_prod @
% 53.96/8.36 tc_Arrow__Order__Mirabelle_Oalt @
% 53.96/8.36 tc_Arrow__Order__Mirabelle_Oalt ) @
% 53.96/8.36 tc_bool ) ) @
% 53.96/8.36 v_Lba____ ) ) ) ) ) |
% 53.96/8.36 ( ~( hBOOL @
% 53.96/8.36 ( hAPP @
% 53.96/8.36 ( hAPP @
% 53.96/8.36 ( c_in @
% 53.96/8.36 ( tc_prod @
% 53.96/8.36 tc_Arrow__Order__Mirabelle_Oalt @
% 53.96/8.36 tc_Arrow__Order__Mirabelle_Oalt ) ) @
% 53.96/8.36 ( c_Pair @
% 53.96/8.36 v_a____ @ v_b____ @ tc_Arrow__Order__Mirabelle_Oalt @
% 53.96/8.36 tc_Arrow__Order__Mirabelle_Oalt ) ) @
% 53.96/8.36 ( hAPP @
% 53.96/8.36 v_F @
% 53.96/8.36 ( hAPP @
% 53.96/8.36 ( c_COMBC @
% 53.96/8.36 ( hAPP @
% 53.96/8.36 ( c_COMBC @
% 53.96/8.36 ( c_COMBB @
% 53.96/8.36 ( c_HOL_OIf @
% 53.96/8.36 ( tc_fun @
% 53.96/8.36 ( tc_prod @
% 53.96/8.36 tc_Arrow__Order__Mirabelle_Oalt @
% 53.96/8.36 tc_Arrow__Order__Mirabelle_Oalt ) @
% 53.96/8.36 tc_bool ) ) @
% 53.96/8.36 ( hAPP @
% 53.96/8.36 ( c_COMBC @
% 53.96/8.36 ( c_COMBB @
% 53.96/8.36 ( c_HOL_Oord__class_Oless @ tc_nat ) @
% 53.96/8.36 v_h____ @ tc_nat @
% 53.96/8.36 ( tc_fun @ tc_nat @ tc_bool ) @
% 53.96/8.36 tc_Arrow__Order__Mirabelle_Oindi ) @
% 53.96/8.36 tc_Arrow__Order__Mirabelle_Oindi @ tc_nat @
% 53.96/8.36 tc_bool ) @
% 53.96/8.36 ( c_HOL_Oplus__class_Oplus @
% 53.96/8.36 V_xa @ ( c_HOL_Oone__class_Oone @ tc_nat ) @
% 53.96/8.36 tc_nat ) ) @
% 53.96/8.36 tc_bool @
% 53.96/8.36 ( tc_fun @
% 53.96/8.36 ( tc_fun @
% 53.96/8.36 ( tc_prod @
% 53.96/8.36 tc_Arrow__Order__Mirabelle_Oalt @
% 53.96/8.36 tc_Arrow__Order__Mirabelle_Oalt ) @
% 53.96/8.36 tc_bool ) @
% 53.96/8.36 ( tc_fun @
% 53.96/8.36 ( tc_fun @
% 53.96/8.36 ( tc_prod @
% 53.96/8.36 tc_Arrow__Order__Mirabelle_Oalt @
% 53.96/8.36 tc_Arrow__Order__Mirabelle_Oalt ) @
% 53.96/8.36 tc_bool ) @
% 53.96/8.36 ( tc_fun @
% 53.96/8.36 ( tc_prod @
% 53.96/8.36 tc_Arrow__Order__Mirabelle_Oalt @
% 53.96/8.36 tc_Arrow__Order__Mirabelle_Oalt ) @
% 53.96/8.36 tc_bool ) ) ) @
% 53.96/8.36 tc_Arrow__Order__Mirabelle_Oindi ) @
% 53.96/8.36 tc_Arrow__Order__Mirabelle_Oindi @
% 53.96/8.36 ( tc_fun @
% 53.96/8.36 ( tc_prod @
% 53.96/8.36 tc_Arrow__Order__Mirabelle_Oalt @
% 53.96/8.36 tc_Arrow__Order__Mirabelle_Oalt ) @
% 53.96/8.36 tc_bool ) @
% 53.96/8.36 ( tc_fun @
% 53.96/8.36 ( tc_fun @
% 53.96/8.36 ( tc_prod @
% 53.96/8.36 tc_Arrow__Order__Mirabelle_Oalt @
% 53.96/8.36 tc_Arrow__Order__Mirabelle_Oalt ) @
% 53.96/8.36 tc_bool ) @
% 53.96/8.36 ( tc_fun @
% 53.96/8.36 ( tc_prod @
% 53.96/8.36 tc_Arrow__Order__Mirabelle_Oalt @
% 53.96/8.36 tc_Arrow__Order__Mirabelle_Oalt ) @
% 53.96/8.36 tc_bool ) ) ) @
% 53.96/8.36 v_Lab____ ) @
% 53.96/8.36 tc_Arrow__Order__Mirabelle_Oindi @
% 53.96/8.36 ( tc_fun @
% 53.96/8.36 ( tc_prod @
% 53.96/8.36 tc_Arrow__Order__Mirabelle_Oalt @
% 53.96/8.36 tc_Arrow__Order__Mirabelle_Oalt ) @
% 53.96/8.36 tc_bool ) @
% 53.96/8.36 ( tc_fun @
% 53.96/8.36 ( tc_prod @
% 53.96/8.36 tc_Arrow__Order__Mirabelle_Oalt @
% 53.96/8.36 tc_Arrow__Order__Mirabelle_Oalt ) @
% 53.96/8.36 tc_bool ) ) @
% 53.96/8.36 v_Lba____ ) ) ) ) ) ))).
% 53.96/8.36 thf(zf_stmt_1, negated_conjecture,
% 53.96/8.36 (( ~( hBOOL @
% 53.96/8.36 ( hAPP @
% 53.96/8.36 ( hAPP @ ( c_HOL_Oord__class_Oless @ tc_nat ) @ V_xa ) @
% 53.96/8.36 ( c_Finite__Set_Ocard @
% 53.96/8.36 ( c_Orderings_Otop__class_Otop @
% 53.96/8.36 ( tc_fun @ tc_Arrow__Order__Mirabelle_Oindi @ tc_bool ) ) @
% 53.96/8.36 tc_Arrow__Order__Mirabelle_Oindi ) ) ) ) |
% 53.96/8.36 ( ~( hBOOL @
% 53.96/8.36 ( hAPP @
% 53.96/8.36 ( hAPP @
% 53.96/8.36 ( c_in @
% 53.96/8.36 ( tc_prod @
% 53.96/8.36 tc_Arrow__Order__Mirabelle_Oalt @
% 53.96/8.36 tc_Arrow__Order__Mirabelle_Oalt ) ) @
% 53.96/8.36 ( c_Pair @
% 53.96/8.36 v_b____ @ v_a____ @ tc_Arrow__Order__Mirabelle_Oalt @
% 53.96/8.36 tc_Arrow__Order__Mirabelle_Oalt ) ) @
% 53.96/8.36 ( hAPP @
% 53.96/8.36 v_F @
% 53.96/8.36 ( hAPP @
% 53.96/8.36 ( c_COMBC @
% 53.96/8.36 ( hAPP @
% 53.96/8.36 ( c_COMBC @
% 53.96/8.36 ( c_COMBB @
% 53.96/8.36 ( c_HOL_OIf @
% 53.96/8.36 ( tc_fun @
% 53.96/8.36 ( tc_prod @
% 53.96/8.36 tc_Arrow__Order__Mirabelle_Oalt @
% 53.96/8.36 tc_Arrow__Order__Mirabelle_Oalt ) @
% 53.96/8.36 tc_bool ) ) @
% 53.96/8.36 ( hAPP @
% 53.96/8.36 ( c_COMBC @
% 53.96/8.36 ( c_COMBB @
% 53.96/8.36 ( c_HOL_Oord__class_Oless @ tc_nat ) @ v_h____ @
% 53.96/8.36 tc_nat @ ( tc_fun @ tc_nat @ tc_bool ) @
% 53.96/8.36 tc_Arrow__Order__Mirabelle_Oindi ) @
% 53.96/8.36 tc_Arrow__Order__Mirabelle_Oindi @ tc_nat @ tc_bool ) @
% 53.96/8.36 ( hAPP @ v_x @ V_xa ) ) @
% 53.96/8.36 tc_bool @
% 53.96/8.36 ( tc_fun @
% 53.96/8.36 ( tc_fun @
% 53.96/8.36 ( tc_prod @
% 53.96/8.36 tc_Arrow__Order__Mirabelle_Oalt @
% 53.96/8.36 tc_Arrow__Order__Mirabelle_Oalt ) @
% 53.96/8.36 tc_bool ) @
% 53.96/8.36 ( tc_fun @
% 53.96/8.36 ( tc_fun @
% 53.96/8.36 ( tc_prod @
% 53.96/8.36 tc_Arrow__Order__Mirabelle_Oalt @
% 53.96/8.36 tc_Arrow__Order__Mirabelle_Oalt ) @
% 53.96/8.36 tc_bool ) @
% 53.96/8.36 ( tc_fun @
% 53.96/8.36 ( tc_prod @
% 53.96/8.36 tc_Arrow__Order__Mirabelle_Oalt @
% 53.96/8.36 tc_Arrow__Order__Mirabelle_Oalt ) @
% 53.96/8.36 tc_bool ) ) ) @
% 53.96/8.36 tc_Arrow__Order__Mirabelle_Oindi ) @
% 53.96/8.36 tc_Arrow__Order__Mirabelle_Oindi @
% 53.96/8.36 ( tc_fun @
% 53.96/8.36 ( tc_prod @
% 53.96/8.36 tc_Arrow__Order__Mirabelle_Oalt @
% 53.96/8.36 tc_Arrow__Order__Mirabelle_Oalt ) @
% 53.96/8.36 tc_bool ) @
% 53.96/8.36 ( tc_fun @
% 53.96/8.36 ( tc_fun @
% 53.96/8.36 ( tc_prod @
% 53.96/8.36 tc_Arrow__Order__Mirabelle_Oalt @
% 53.96/8.36 tc_Arrow__Order__Mirabelle_Oalt ) @
% 53.96/8.36 tc_bool ) @
% 53.96/8.36 ( tc_fun @
% 53.96/8.36 ( tc_prod @
% 53.96/8.36 tc_Arrow__Order__Mirabelle_Oalt @
% 53.96/8.36 tc_Arrow__Order__Mirabelle_Oalt ) @
% 53.96/8.36 tc_bool ) ) ) @
% 53.96/8.36 v_Lab____ ) @
% 53.96/8.36 tc_Arrow__Order__Mirabelle_Oindi @
% 53.96/8.36 ( tc_fun @
% 53.96/8.36 ( tc_prod @
% 53.96/8.36 tc_Arrow__Order__Mirabelle_Oalt @
% 53.96/8.36 tc_Arrow__Order__Mirabelle_Oalt ) @
% 53.96/8.36 tc_bool ) @
% 53.96/8.36 ( tc_fun @
% 53.96/8.36 ( tc_prod @
% 53.96/8.36 tc_Arrow__Order__Mirabelle_Oalt @
% 53.96/8.36 tc_Arrow__Order__Mirabelle_Oalt ) @
% 53.96/8.36 tc_bool ) ) @
% 53.96/8.36 v_Lba____ ) ) ) ) ) |
% 53.96/8.36 ( ~( hBOOL @
% 53.96/8.36 ( hAPP @
% 53.96/8.36 ( hAPP @
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% 53.96/8.36 ( c_Pair @
% 53.96/8.36 v_a____ @ v_b____ @ tc_Arrow__Order__Mirabelle_Oalt @
% 53.96/8.36 tc_Arrow__Order__Mirabelle_Oalt ) ) @
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% 53.96/8.36 ( hAPP @
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% 53.96/8.36 ( c_COMBB @
% 53.96/8.36 ( c_HOL_OIf @
% 53.96/8.36 ( tc_fun @
% 53.96/8.36 ( tc_prod @
% 53.96/8.36 tc_Arrow__Order__Mirabelle_Oalt @
% 53.96/8.36 tc_Arrow__Order__Mirabelle_Oalt ) @
% 53.96/8.36 tc_bool ) ) @
% 53.96/8.36 ( hAPP @
% 53.96/8.36 ( c_COMBC @
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% 53.96/8.36 ( c_HOL_Oord__class_Oless @ tc_nat ) @ v_h____ @
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% 53.96/8.36 tc_Arrow__Order__Mirabelle_Oindi @ tc_nat @ tc_bool ) @
% 53.96/8.36 ( c_HOL_Oplus__class_Oplus @
% 53.96/8.36 V_xa @ ( c_HOL_Oone__class_Oone @ tc_nat ) @ tc_nat ) ) @
% 53.96/8.36 tc_bool @
% 53.96/8.36 ( tc_fun @
% 53.96/8.36 ( tc_fun @
% 53.96/8.36 ( tc_prod @
% 53.96/8.36 tc_Arrow__Order__Mirabelle_Oalt @
% 53.96/8.36 tc_Arrow__Order__Mirabelle_Oalt ) @
% 53.96/8.36 tc_bool ) @
% 53.96/8.36 ( tc_fun @
% 53.96/8.36 ( tc_fun @
% 53.96/8.36 ( tc_prod @
% 53.96/8.36 tc_Arrow__Order__Mirabelle_Oalt @
% 53.96/8.36 tc_Arrow__Order__Mirabelle_Oalt ) @
% 53.96/8.36 tc_bool ) @
% 53.96/8.36 ( tc_fun @
% 53.96/8.36 ( tc_prod @
% 53.96/8.36 tc_Arrow__Order__Mirabelle_Oalt @
% 53.96/8.36 tc_Arrow__Order__Mirabelle_Oalt ) @
% 53.96/8.36 tc_bool ) ) ) @
% 53.96/8.36 tc_Arrow__Order__Mirabelle_Oindi ) @
% 53.96/8.36 tc_Arrow__Order__Mirabelle_Oindi @
% 53.96/8.36 ( tc_fun @
% 53.96/8.36 ( tc_prod @
% 53.96/8.36 tc_Arrow__Order__Mirabelle_Oalt @
% 53.96/8.36 tc_Arrow__Order__Mirabelle_Oalt ) @
% 53.96/8.36 tc_bool ) @
% 53.96/8.36 ( tc_fun @
% 53.96/8.36 ( tc_fun @
% 53.96/8.36 ( tc_prod @
% 53.96/8.36 tc_Arrow__Order__Mirabelle_Oalt @
% 53.96/8.36 tc_Arrow__Order__Mirabelle_Oalt ) @
% 53.96/8.36 tc_bool ) @
% 53.96/8.36 ( tc_fun @
% 53.96/8.36 ( tc_prod @
% 53.96/8.36 tc_Arrow__Order__Mirabelle_Oalt @
% 53.96/8.36 tc_Arrow__Order__Mirabelle_Oalt ) @
% 53.96/8.36 tc_bool ) ) ) @
% 53.96/8.36 v_Lab____ ) @
% 53.96/8.36 tc_Arrow__Order__Mirabelle_Oindi @
% 53.96/8.36 ( tc_fun @
% 53.96/8.36 ( tc_prod @
% 53.96/8.36 tc_Arrow__Order__Mirabelle_Oalt @
% 53.96/8.36 tc_Arrow__Order__Mirabelle_Oalt ) @
% 53.96/8.36 tc_bool ) @
% 53.96/8.36 ( tc_fun @
% 53.96/8.36 ( tc_prod @
% 53.96/8.36 tc_Arrow__Order__Mirabelle_Oalt @
% 53.96/8.36 tc_Arrow__Order__Mirabelle_Oalt ) @
% 53.96/8.36 tc_bool ) ) @
% 53.96/8.36 v_Lba____ ) ) ) ) )),
% 53.96/8.36 inference('cnf.neg', [status(esa)], [cls_conjecture_1])).
% 53.96/8.36 thf(zip_derived_cl526, plain,
% 53.96/8.36 (![X0 : $i]:
% 53.96/8.36 (~ (hBOOL @
% 53.96/8.36 (hAPP @ (hAPP @ (c_HOL_Oord__class_Oless @ tc_nat) @ X0) @
% 53.96/8.36 (c_Finite__Set_Ocard @
% 53.96/8.36 (c_Orderings_Otop__class_Otop @
% 53.96/8.36 (tc_fun @ tc_Arrow__Order__Mirabelle_Oindi @ tc_bool)) @
% 53.96/8.36 tc_Arrow__Order__Mirabelle_Oindi)))
% 53.96/8.36 | ~ (hBOOL @
% 53.96/8.36 (hAPP @
% 53.96/8.36 (hAPP @
% 53.96/8.36 (c_in @
% 53.96/8.36 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 53.96/8.36 tc_Arrow__Order__Mirabelle_Oalt)) @
% 53.96/8.36 (c_Pair @ v_b____ @ v_a____ @
% 53.96/8.36 tc_Arrow__Order__Mirabelle_Oalt @
% 53.96/8.36 tc_Arrow__Order__Mirabelle_Oalt)) @
% 53.96/8.36 (hAPP @ v_F @
% 53.96/8.36 (hAPP @
% 53.96/8.36 (c_COMBC @
% 53.96/8.36 (hAPP @
% 53.96/8.36 (c_COMBC @
% 53.96/8.36 (c_COMBB @
% 53.96/8.36 (c_HOL_OIf @
% 53.96/8.36 (tc_fun @
% 53.96/8.36 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 53.96/8.36 tc_Arrow__Order__Mirabelle_Oalt) @
% 53.96/8.36 tc_bool)) @
% 53.96/8.36 (hAPP @
% 53.96/8.36 (c_COMBC @
% 53.96/8.36 (c_COMBB @ (c_HOL_Oord__class_Oless @ tc_nat) @
% 53.96/8.36 v_h____ @ tc_nat @ (tc_fun @ tc_nat @ tc_bool) @
% 53.96/8.36 tc_Arrow__Order__Mirabelle_Oindi) @
% 53.96/8.36 tc_Arrow__Order__Mirabelle_Oindi @ tc_nat @ tc_bool) @
% 53.96/8.36 (hAPP @ v_x @ X0)) @
% 53.96/8.36 tc_bool @
% 53.96/8.36 (tc_fun @
% 53.96/8.36 (tc_fun @
% 53.96/8.36 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 53.96/8.36 tc_Arrow__Order__Mirabelle_Oalt) @
% 53.96/8.36 tc_bool) @
% 53.96/8.36 (tc_fun @
% 53.96/8.36 (tc_fun @
% 53.96/8.36 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 53.96/8.36 tc_Arrow__Order__Mirabelle_Oalt) @
% 53.96/8.36 tc_bool) @
% 53.96/8.36 (tc_fun @
% 53.96/8.36 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
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% 53.96/8.36 tc_bool))) @
% 53.96/8.36 tc_Arrow__Order__Mirabelle_Oindi) @
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% 53.96/8.36 (tc_fun @
% 53.96/8.36 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 53.96/8.36 tc_Arrow__Order__Mirabelle_Oalt) @
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% 53.96/8.36 (tc_fun @
% 53.96/8.36 (tc_fun @
% 53.96/8.36 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
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% 53.96/8.36 (tc_fun @
% 53.96/8.36 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
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% 53.96/8.36 v_Lab____) @
% 53.96/8.36 tc_Arrow__Order__Mirabelle_Oindi @
% 53.96/8.36 (tc_fun @
% 53.96/8.36 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
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% 53.96/8.36 (tc_fun @
% 53.96/8.36 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
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% 53.96/8.36 v_Lba____))))
% 53.96/8.36 | ~ (hBOOL @
% 53.96/8.36 (hAPP @
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% 53.96/8.36 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
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% 53.96/8.36 (c_Pair @ v_a____ @ v_b____ @
% 53.96/8.36 tc_Arrow__Order__Mirabelle_Oalt @
% 53.96/8.36 tc_Arrow__Order__Mirabelle_Oalt)) @
% 53.96/8.36 (hAPP @ v_F @
% 53.96/8.36 (hAPP @
% 53.96/8.36 (c_COMBC @
% 53.96/8.36 (hAPP @
% 53.96/8.36 (c_COMBC @
% 53.96/8.36 (c_COMBB @
% 53.96/8.36 (c_HOL_OIf @
% 53.96/8.36 (tc_fun @
% 53.96/8.36 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 53.96/8.36 tc_Arrow__Order__Mirabelle_Oalt) @
% 53.96/8.36 tc_bool)) @
% 53.96/8.36 (hAPP @
% 53.96/8.36 (c_COMBC @
% 53.96/8.36 (c_COMBB @ (c_HOL_Oord__class_Oless @ tc_nat) @
% 53.96/8.36 v_h____ @ tc_nat @ (tc_fun @ tc_nat @ tc_bool) @
% 53.96/8.36 tc_Arrow__Order__Mirabelle_Oindi) @
% 53.96/8.36 tc_Arrow__Order__Mirabelle_Oindi @ tc_nat @ tc_bool) @
% 53.96/8.36 (c_HOL_Oplus__class_Oplus @ X0 @
% 53.96/8.36 (c_HOL_Oone__class_Oone @ tc_nat) @ tc_nat)) @
% 53.96/8.36 tc_bool @
% 53.96/8.36 (tc_fun @
% 53.96/8.36 (tc_fun @
% 53.96/8.36 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 53.96/8.36 tc_Arrow__Order__Mirabelle_Oalt) @
% 53.96/8.36 tc_bool) @
% 53.96/8.36 (tc_fun @
% 53.96/8.36 (tc_fun @
% 53.96/8.36 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 53.96/8.36 tc_Arrow__Order__Mirabelle_Oalt) @
% 53.96/8.36 tc_bool) @
% 53.96/8.36 (tc_fun @
% 53.96/8.36 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 53.96/8.36 tc_Arrow__Order__Mirabelle_Oalt) @
% 53.96/8.36 tc_bool))) @
% 53.96/8.36 tc_Arrow__Order__Mirabelle_Oindi) @
% 53.96/8.36 tc_Arrow__Order__Mirabelle_Oindi @
% 53.96/8.36 (tc_fun @
% 53.96/8.36 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 53.96/8.36 tc_Arrow__Order__Mirabelle_Oalt) @
% 53.96/8.36 tc_bool) @
% 53.96/8.36 (tc_fun @
% 53.96/8.36 (tc_fun @
% 53.96/8.36 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 53.96/8.36 tc_Arrow__Order__Mirabelle_Oalt) @
% 53.96/8.36 tc_bool) @
% 53.96/8.36 (tc_fun @
% 53.96/8.36 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 53.96/8.36 tc_Arrow__Order__Mirabelle_Oalt) @
% 53.96/8.36 tc_bool))) @
% 53.96/8.36 v_Lab____) @
% 53.96/8.36 tc_Arrow__Order__Mirabelle_Oindi @
% 53.96/8.36 (tc_fun @
% 53.96/8.36 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 53.96/8.36 tc_Arrow__Order__Mirabelle_Oalt) @
% 53.96/8.36 tc_bool) @
% 53.96/8.36 (tc_fun @
% 53.96/8.36 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 53.96/8.36 tc_Arrow__Order__Mirabelle_Oalt) @
% 53.96/8.36 tc_bool)) @
% 53.96/8.36 v_Lba____)))))),
% 53.96/8.36 inference('cnf', [status(esa)], [zf_stmt_1])).
% 53.96/8.36 thf(zip_derived_cl5607, plain,
% 53.96/8.36 ((~ (hBOOL @
% 53.96/8.36 (hAPP @
% 53.96/8.36 (hAPP @
% 53.96/8.36 (c_in @
% 53.96/8.36 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 53.96/8.36 tc_Arrow__Order__Mirabelle_Oalt)) @
% 53.96/8.36 (c_Pair @ v_b____ @ v_a____ @ tc_Arrow__Order__Mirabelle_Oalt @
% 53.96/8.36 tc_Arrow__Order__Mirabelle_Oalt)) @
% 53.96/8.36 (hAPP @ v_F @
% 53.96/8.36 (hAPP @
% 53.96/8.36 (c_COMBC @
% 53.96/8.36 (hAPP @
% 53.96/8.36 (c_COMBC @
% 53.96/8.36 (c_COMBB @
% 53.96/8.36 (c_HOL_OIf @
% 53.96/8.36 (tc_fun @
% 53.96/8.36 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 53.96/8.36 tc_Arrow__Order__Mirabelle_Oalt) @
% 53.96/8.36 tc_bool)) @
% 53.96/8.36 (hAPP @
% 53.96/8.36 (c_COMBC @
% 53.96/8.36 (c_COMBB @ (c_HOL_Oord__class_Oless @ tc_nat) @ v_h____ @
% 53.96/8.36 tc_nat @ (tc_fun @ tc_nat @ tc_bool) @
% 53.96/8.36 tc_Arrow__Order__Mirabelle_Oindi) @
% 53.96/8.36 tc_Arrow__Order__Mirabelle_Oindi @ tc_nat @ tc_bool) @
% 53.96/8.36 (hAPP @ v_x @
% 53.96/8.36 (v_sko__CHAINED__1 @ v_F @ v_Lab____ @ v_Lba____ @
% 53.96/8.36 v_a____ @ v_b____ @ v_h____))) @
% 53.96/8.36 tc_bool @
% 53.96/8.36 (tc_fun @
% 53.96/8.36 (tc_fun @
% 53.96/8.36 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 53.96/8.36 tc_Arrow__Order__Mirabelle_Oalt) @
% 53.96/8.36 tc_bool) @
% 53.96/8.36 (tc_fun @
% 53.96/8.36 (tc_fun @
% 53.96/8.36 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
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% 53.96/8.36 tc_bool) @
% 53.96/8.36 (tc_fun @
% 53.96/8.36 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 53.96/8.36 tc_Arrow__Order__Mirabelle_Oalt) @
% 53.96/8.36 tc_bool))) @
% 53.96/8.36 tc_Arrow__Order__Mirabelle_Oindi) @
% 53.96/8.36 tc_Arrow__Order__Mirabelle_Oindi @
% 53.96/8.36 (tc_fun @
% 53.96/8.36 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 53.96/8.36 tc_Arrow__Order__Mirabelle_Oalt) @
% 53.96/8.36 tc_bool) @
% 53.96/8.36 (tc_fun @
% 53.96/8.36 (tc_fun @
% 53.96/8.36 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
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% 53.96/8.36 tc_bool) @
% 53.96/8.36 (tc_fun @
% 53.96/8.36 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 53.96/8.36 tc_Arrow__Order__Mirabelle_Oalt) @
% 53.96/8.36 tc_bool))) @
% 53.96/8.36 v_Lab____) @
% 53.96/8.36 tc_Arrow__Order__Mirabelle_Oindi @
% 53.96/8.36 (tc_fun @
% 53.96/8.36 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 53.96/8.36 tc_Arrow__Order__Mirabelle_Oalt) @
% 53.96/8.36 tc_bool) @
% 53.96/8.36 (tc_fun @
% 53.96/8.36 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 53.96/8.36 tc_Arrow__Order__Mirabelle_Oalt) @
% 53.96/8.36 tc_bool)) @
% 53.96/8.36 v_Lba____))))
% 53.96/8.36 | ~ (hBOOL @
% 53.96/8.36 (hAPP @
% 53.96/8.36 (hAPP @
% 53.96/8.36 (c_in @
% 53.96/8.36 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
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% 53.96/8.36 (c_Pair @ v_a____ @ v_b____ @ tc_Arrow__Order__Mirabelle_Oalt @
% 53.96/8.36 tc_Arrow__Order__Mirabelle_Oalt)) @
% 53.96/8.36 (hAPP @ v_F @
% 53.96/8.36 (hAPP @
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% 53.96/8.36 (hAPP @
% 53.96/8.36 (c_COMBC @
% 53.96/8.36 (c_COMBB @
% 53.96/8.36 (c_HOL_OIf @
% 53.96/8.36 (tc_fun @
% 53.96/8.36 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 53.96/8.36 tc_Arrow__Order__Mirabelle_Oalt) @
% 53.96/8.36 tc_bool)) @
% 53.96/8.36 (hAPP @
% 53.96/8.36 (c_COMBC @
% 53.96/8.36 (c_COMBB @ (c_HOL_Oord__class_Oless @ tc_nat) @
% 53.96/8.36 v_h____ @ tc_nat @ (tc_fun @ tc_nat @ tc_bool) @
% 53.96/8.36 tc_Arrow__Order__Mirabelle_Oindi) @
% 53.96/8.36 tc_Arrow__Order__Mirabelle_Oindi @ tc_nat @ tc_bool) @
% 53.96/8.36 (c_HOL_Oplus__class_Oplus @
% 53.96/8.36 (v_sko__CHAINED__1 @ v_F @ v_Lab____ @ v_Lba____ @
% 53.96/8.36 v_a____ @ v_b____ @ v_h____) @
% 53.96/8.36 (c_HOL_Oone__class_Oone @ tc_nat) @ tc_nat)) @
% 53.96/8.36 tc_bool @
% 53.96/8.36 (tc_fun @
% 53.96/8.36 (tc_fun @
% 53.96/8.36 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 53.96/8.36 tc_Arrow__Order__Mirabelle_Oalt) @
% 53.96/8.36 tc_bool) @
% 53.96/8.36 (tc_fun @
% 53.96/8.36 (tc_fun @
% 53.96/8.36 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 53.96/8.36 tc_Arrow__Order__Mirabelle_Oalt) @
% 53.96/8.36 tc_bool) @
% 53.96/8.36 (tc_fun @
% 53.96/8.36 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 53.96/8.36 tc_Arrow__Order__Mirabelle_Oalt) @
% 53.96/8.36 tc_bool))) @
% 53.96/8.36 tc_Arrow__Order__Mirabelle_Oindi) @
% 53.96/8.36 tc_Arrow__Order__Mirabelle_Oindi @
% 53.96/8.36 (tc_fun @
% 53.96/8.36 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 53.96/8.36 tc_Arrow__Order__Mirabelle_Oalt) @
% 53.96/8.36 tc_bool) @
% 53.96/8.36 (tc_fun @
% 53.96/8.36 (tc_fun @
% 53.96/8.36 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 53.96/8.36 tc_Arrow__Order__Mirabelle_Oalt) @
% 53.96/8.36 tc_bool) @
% 53.96/8.36 (tc_fun @
% 53.96/8.36 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 53.96/8.36 tc_Arrow__Order__Mirabelle_Oalt) @
% 53.96/8.36 tc_bool))) @
% 53.96/8.36 v_Lab____) @
% 53.96/8.36 tc_Arrow__Order__Mirabelle_Oindi @
% 53.96/8.36 (tc_fun @
% 53.96/8.36 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 53.96/8.36 tc_Arrow__Order__Mirabelle_Oalt) @
% 53.96/8.36 tc_bool) @
% 53.96/8.36 (tc_fun @
% 53.96/8.36 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 53.96/8.36 tc_Arrow__Order__Mirabelle_Oalt) @
% 53.96/8.36 tc_bool)) @
% 53.96/8.36 v_Lba____)))))),
% 53.96/8.36 inference('s_sup-', [status(thm)], [zip_derived_cl524, zip_derived_cl526])).
% 53.96/8.36 thf(zip_derived_cl467, plain,
% 53.96/8.36 (![X0 : $i, X1 : $i]:
% 53.96/8.36 ((c_HOL_Oplus__class_Oplus @ X1 @ X0 @ tc_nat)
% 53.96/8.36 = (c_HOL_Oplus__class_Oplus @ X0 @ X1 @ tc_nat))),
% 53.96/8.36 inference('cnf', [status(esa)], [cls_nat__add__commute_0])).
% 53.96/8.36 thf(zip_derived_cl5494, plain,
% 53.96/8.36 ( (hBOOL @
% 53.96/8.36 (hAPP @
% 53.96/8.36 (hAPP @
% 53.96/8.36 (c_in @
% 53.96/8.36 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 53.96/8.36 tc_Arrow__Order__Mirabelle_Oalt)) @
% 53.96/8.36 (c_Pair @ v_a____ @ v_b____ @ tc_Arrow__Order__Mirabelle_Oalt @
% 53.96/8.36 tc_Arrow__Order__Mirabelle_Oalt)) @
% 53.96/8.36 (hAPP @ v_F @
% 53.96/8.36 (hAPP @
% 53.96/8.36 (c_COMBC @
% 53.96/8.36 (hAPP @
% 53.96/8.36 (c_COMBC @
% 53.96/8.36 (c_COMBB @
% 53.96/8.36 (c_HOL_OIf @
% 53.96/8.36 (tc_fun @
% 53.96/8.36 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 53.96/8.36 tc_Arrow__Order__Mirabelle_Oalt) @
% 53.96/8.36 tc_bool)) @
% 53.96/8.36 (hAPP @
% 53.96/8.36 (c_COMBC @
% 53.96/8.36 (c_COMBB @ (c_HOL_Oord__class_Oless @ tc_nat) @ v_h____ @
% 53.96/8.36 tc_nat @ (tc_fun @ tc_nat @ tc_bool) @
% 53.96/8.36 tc_Arrow__Order__Mirabelle_Oindi) @
% 53.96/8.36 tc_Arrow__Order__Mirabelle_Oindi @ tc_nat @ tc_bool) @
% 53.96/8.36 (c_HOL_Oplus__class_Oplus @
% 53.96/8.36 (c_HOL_Oone__class_Oone @ tc_nat) @
% 53.96/8.36 (v_sko__CHAINED__1 @ v_F @ v_Lab____ @ v_Lba____ @ v_a____ @
% 53.96/8.36 v_b____ @ v_h____) @
% 53.96/8.36 tc_nat)) @
% 53.96/8.36 tc_bool @
% 53.96/8.36 (tc_fun @
% 53.96/8.36 (tc_fun @
% 53.96/8.36 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 53.96/8.36 tc_Arrow__Order__Mirabelle_Oalt) @
% 53.96/8.36 tc_bool) @
% 53.96/8.36 (tc_fun @
% 53.96/8.36 (tc_fun @
% 53.96/8.36 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 53.96/8.36 tc_Arrow__Order__Mirabelle_Oalt) @
% 53.96/8.36 tc_bool) @
% 53.96/8.36 (tc_fun @
% 53.96/8.36 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 53.96/8.36 tc_Arrow__Order__Mirabelle_Oalt) @
% 53.96/8.36 tc_bool))) @
% 53.96/8.36 tc_Arrow__Order__Mirabelle_Oindi) @
% 53.96/8.36 tc_Arrow__Order__Mirabelle_Oindi @
% 53.96/8.36 (tc_fun @
% 53.96/8.36 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 53.96/8.36 tc_Arrow__Order__Mirabelle_Oalt) @
% 53.96/8.36 tc_bool) @
% 53.96/8.36 (tc_fun @
% 53.96/8.36 (tc_fun @
% 53.96/8.36 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 53.96/8.36 tc_Arrow__Order__Mirabelle_Oalt) @
% 53.96/8.36 tc_bool) @
% 53.96/8.36 (tc_fun @
% 53.96/8.36 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 53.96/8.36 tc_Arrow__Order__Mirabelle_Oalt) @
% 53.96/8.36 tc_bool))) @
% 53.96/8.36 v_Lab____) @
% 53.96/8.36 tc_Arrow__Order__Mirabelle_Oindi @
% 53.96/8.36 (tc_fun @
% 53.96/8.36 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 53.96/8.36 tc_Arrow__Order__Mirabelle_Oalt) @
% 53.96/8.36 tc_bool) @
% 53.96/8.36 (tc_fun @
% 53.96/8.36 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 53.96/8.36 tc_Arrow__Order__Mirabelle_Oalt) @
% 53.96/8.36 tc_bool)) @
% 53.96/8.36 v_Lba____))))),
% 53.96/8.36 inference('demod', [status(thm)], [zip_derived_cl522, zip_derived_cl467])).
% 53.96/8.36 thf(zip_derived_cl5610, plain,
% 53.96/8.36 (~ (hBOOL @
% 53.96/8.36 (hAPP @
% 53.96/8.36 (hAPP @
% 53.96/8.36 (c_in @
% 53.96/8.36 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 53.96/8.36 tc_Arrow__Order__Mirabelle_Oalt)) @
% 53.96/8.36 (c_Pair @ v_b____ @ v_a____ @ tc_Arrow__Order__Mirabelle_Oalt @
% 53.96/8.36 tc_Arrow__Order__Mirabelle_Oalt)) @
% 53.96/8.36 (hAPP @ v_F @
% 53.96/8.36 (hAPP @
% 53.96/8.36 (c_COMBC @
% 53.96/8.36 (hAPP @
% 53.96/8.36 (c_COMBC @
% 53.96/8.36 (c_COMBB @
% 53.96/8.36 (c_HOL_OIf @
% 53.96/8.36 (tc_fun @
% 53.96/8.36 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 53.96/8.36 tc_Arrow__Order__Mirabelle_Oalt) @
% 53.96/8.36 tc_bool)) @
% 53.96/8.36 (hAPP @
% 53.96/8.36 (c_COMBC @
% 53.96/8.36 (c_COMBB @ (c_HOL_Oord__class_Oless @ tc_nat) @ v_h____ @
% 53.96/8.36 tc_nat @ (tc_fun @ tc_nat @ tc_bool) @
% 53.96/8.36 tc_Arrow__Order__Mirabelle_Oindi) @
% 53.96/8.36 tc_Arrow__Order__Mirabelle_Oindi @ tc_nat @ tc_bool) @
% 53.96/8.36 (hAPP @ v_x @
% 53.96/8.36 (v_sko__CHAINED__1 @ v_F @ v_Lab____ @ v_Lba____ @
% 53.96/8.36 v_a____ @ v_b____ @ v_h____))) @
% 53.96/8.36 tc_bool @
% 53.96/8.36 (tc_fun @
% 53.96/8.36 (tc_fun @
% 53.96/8.36 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 53.96/8.36 tc_Arrow__Order__Mirabelle_Oalt) @
% 53.96/8.36 tc_bool) @
% 53.96/8.36 (tc_fun @
% 53.96/8.36 (tc_fun @
% 53.96/8.36 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 53.96/8.36 tc_Arrow__Order__Mirabelle_Oalt) @
% 53.96/8.36 tc_bool) @
% 53.96/8.36 (tc_fun @
% 53.96/8.36 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 53.96/8.36 tc_Arrow__Order__Mirabelle_Oalt) @
% 53.96/8.36 tc_bool))) @
% 53.96/8.36 tc_Arrow__Order__Mirabelle_Oindi) @
% 53.96/8.36 tc_Arrow__Order__Mirabelle_Oindi @
% 53.96/8.36 (tc_fun @
% 53.96/8.36 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 53.96/8.36 tc_Arrow__Order__Mirabelle_Oalt) @
% 53.96/8.36 tc_bool) @
% 53.96/8.36 (tc_fun @
% 53.96/8.36 (tc_fun @
% 53.96/8.36 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 53.96/8.36 tc_Arrow__Order__Mirabelle_Oalt) @
% 53.96/8.36 tc_bool) @
% 53.96/8.36 (tc_fun @
% 53.96/8.36 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 53.96/8.36 tc_Arrow__Order__Mirabelle_Oalt) @
% 53.96/8.36 tc_bool))) @
% 53.96/8.36 v_Lab____) @
% 53.96/8.36 tc_Arrow__Order__Mirabelle_Oindi @
% 53.96/8.36 (tc_fun @
% 53.96/8.36 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 53.96/8.36 tc_Arrow__Order__Mirabelle_Oalt) @
% 53.96/8.36 tc_bool) @
% 53.96/8.36 (tc_fun @
% 53.96/8.36 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 53.96/8.36 tc_Arrow__Order__Mirabelle_Oalt) @
% 53.96/8.36 tc_bool)) @
% 53.96/8.36 v_Lba____))))),
% 53.96/8.36 inference('demod', [status(thm)],
% 53.96/8.36 [zip_derived_cl5607, zip_derived_cl467, zip_derived_cl5494])).
% 53.96/8.36 thf(zip_derived_cl9128, plain,
% 53.96/8.36 ( (hBOOL @
% 53.96/8.36 (hAPP @
% 53.96/8.36 (hAPP @
% 53.96/8.36 (c_in @
% 53.96/8.36 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 53.96/8.36 tc_Arrow__Order__Mirabelle_Oalt)) @
% 53.96/8.36 (c_Pair @ v_a____ @ v_b____ @ tc_Arrow__Order__Mirabelle_Oalt @
% 53.96/8.36 tc_Arrow__Order__Mirabelle_Oalt)) @
% 53.96/8.36 (hAPP @ v_F @
% 53.96/8.36 (hAPP @
% 53.96/8.36 (c_COMBC @
% 53.96/8.36 (hAPP @
% 53.96/8.36 (c_COMBC @
% 53.96/8.36 (c_COMBB @
% 53.96/8.36 (c_HOL_OIf @
% 53.96/8.36 (tc_fun @
% 53.96/8.36 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 53.96/8.36 tc_Arrow__Order__Mirabelle_Oalt) @
% 53.96/8.36 tc_bool)) @
% 53.96/8.36 (hAPP @
% 53.96/8.36 (c_COMBC @
% 53.96/8.36 (c_COMBB @ (c_HOL_Oord__class_Oless @ tc_nat) @ v_h____ @
% 53.96/8.36 tc_nat @ (tc_fun @ tc_nat @ tc_bool) @
% 53.96/8.36 tc_Arrow__Order__Mirabelle_Oindi) @
% 53.96/8.36 tc_Arrow__Order__Mirabelle_Oindi @ tc_nat @ tc_bool) @
% 53.96/8.36 (hAPP @ v_x @
% 53.96/8.36 (v_sko__CHAINED__1 @ v_F @ v_Lab____ @ v_Lba____ @ v_a____ @
% 53.96/8.36 v_b____ @ v_h____))) @
% 53.96/8.36 tc_bool @
% 53.96/8.36 (tc_fun @
% 53.96/8.36 (tc_fun @
% 53.96/8.36 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 53.96/8.36 tc_Arrow__Order__Mirabelle_Oalt) @
% 53.96/8.36 tc_bool) @
% 53.96/8.36 (tc_fun @
% 53.96/8.36 (tc_fun @
% 53.96/8.36 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 53.96/8.36 tc_Arrow__Order__Mirabelle_Oalt) @
% 53.96/8.36 tc_bool) @
% 53.96/8.36 (tc_fun @
% 53.96/8.36 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 53.96/8.36 tc_Arrow__Order__Mirabelle_Oalt) @
% 53.96/8.36 tc_bool))) @
% 53.96/8.36 tc_Arrow__Order__Mirabelle_Oindi) @
% 53.96/8.36 tc_Arrow__Order__Mirabelle_Oindi @
% 53.96/8.36 (tc_fun @
% 53.96/8.36 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 53.96/8.36 tc_Arrow__Order__Mirabelle_Oalt) @
% 53.96/8.36 tc_bool) @
% 53.96/8.36 (tc_fun @
% 53.96/8.36 (tc_fun @
% 53.96/8.36 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 53.96/8.36 tc_Arrow__Order__Mirabelle_Oalt) @
% 53.96/8.36 tc_bool) @
% 53.96/8.36 (tc_fun @
% 53.96/8.36 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 53.96/8.36 tc_Arrow__Order__Mirabelle_Oalt) @
% 53.96/8.36 tc_bool))) @
% 53.96/8.36 v_Lab____) @
% 53.96/8.36 tc_Arrow__Order__Mirabelle_Oindi @
% 53.96/8.36 (tc_fun @
% 53.96/8.36 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 53.96/8.36 tc_Arrow__Order__Mirabelle_Oalt) @
% 53.96/8.36 tc_bool) @
% 53.96/8.36 (tc_fun @
% 53.96/8.36 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 53.96/8.36 tc_Arrow__Order__Mirabelle_Oalt) @
% 53.96/8.36 tc_bool)) @
% 53.96/8.36 v_Lba____))))),
% 53.96/8.36 inference('s_sup-', [status(thm)],
% 53.96/8.36 [zip_derived_cl521, zip_derived_cl5610])).
% 53.96/8.36 thf(zip_derived_cl23071, plain, ($false),
% 53.96/8.36 inference('demod', [status(thm)],
% 53.96/8.36 [zip_derived_cl5594, zip_derived_cl9128])).
% 53.96/8.36
% 53.96/8.36 % SZS output end Refutation
% 53.96/8.36
% 53.96/8.36
% 53.96/8.36 % Terminating...
% 54.96/8.46 % Runner terminated.
% 54.96/8.47 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------