%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SCT086-1 : 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.1u3Jc0lG5X true
% Computer : n026.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 34.62s 6.91s
% Output : Refutation 34.62s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.23 % Problem : SCT086-1 : TPTP v9.2.0. Released v4.1.0.
% 0.12/0.24 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.1u3Jc0lG5X true
% 0.12/0.45 % Computer : n026.cluster.edu
% 0.12/0.45 % Model : x86_64 x86_64
% 0.12/0.45 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.45 % Memory : 8042.1875MB
% 0.12/0.45 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.45 % CPULimit : 300
% 0.12/0.45 % WCLimit : 300
% 0.12/0.45 % DateTime : Wed Oct 1 15:15:38 EDT 2025
% 0.12/0.45 % CPUTime :
% 0.12/0.45 % Running portfolio for 300 s
% 0.12/0.45 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.45 % Number of cores: 8
% 0.12/0.45 % Python version: Python 3.6.8
% 0.12/0.45 % Running in FO mode
% 0.30/0.75 % Total configuration time : 435
% 0.30/0.75 % Estimated wc time : 1092
% 0.30/0.75 % Estimated cpu time (7 cpus) : 156.0
% 0.31/0.84 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.31/0.86 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.31/0.87 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.31/0.89 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.31/0.89 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.31/0.90 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.31/0.90 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 34.62/6.91 % Solved by fo/fo6_bce.sh.
% 34.62/6.91 % BCE start: 560
% 34.62/6.91 % BCE eliminated: 156
% 34.62/6.91 % PE start: 404
% 34.62/6.91 logic: eq
% 34.62/6.91 % PE eliminated: 18
% 34.62/6.91 % done 1371 iterations in 5.987s
% 34.62/6.91 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 34.62/6.91 % SZS output start Refutation
% 34.62/6.91 thf(c_HOL_Oord__class_Oless_type, type, c_HOL_Oord__class_Oless: $i > $i).
% 34.62/6.91 thf(v_sko__CHAINED__1_type, type, v_sko__CHAINED__1: $i > $i > $i > $i >
% 34.62/6.91 $i > $i > $i).
% 34.62/6.91 thf(v_h_____type, type, v_h____: $i).
% 34.62/6.91 thf(hAPP_type, type, hAPP: $i > $i > $i).
% 34.62/6.91 thf(c_COMBB_type, type, c_COMBB: $i > $i > $i > $i > $i > $i).
% 34.62/6.91 thf(v_thesis_____type, type, v_thesis____: $o).
% 34.62/6.91 thf(tc_bool_type, type, tc_bool: $i).
% 34.62/6.91 thf(v_F_type, type, v_F: $i).
% 34.62/6.91 thf(v_Lab_____type, type, v_Lab____: $i).
% 34.62/6.91 thf(hBOOL_type, type, hBOOL: $i > $o).
% 34.62/6.91 thf(v_b_____type, type, v_b____: $i).
% 34.62/6.91 thf(c_COMBC_type, type, c_COMBC: $i > $i > $i > $i > $i).
% 34.62/6.91 thf(tc_Arrow__Order__Mirabelle_Oindi_type, type, tc_Arrow__Order__Mirabelle_Oindi:
% 34.62/6.91 $i).
% 34.62/6.91 thf(c_Finite__Set_Ocard_type, type, c_Finite__Set_Ocard: $i > $i > $i).
% 34.62/6.91 thf(c_in_type, type, c_in: $i > $i).
% 34.62/6.91 thf(tc_fun_type, type, tc_fun: $i > $i > $i).
% 34.62/6.91 thf(c_HOL_Oone__class_Oone_type, type, c_HOL_Oone__class_Oone: $i > $i).
% 34.62/6.91 thf(tc_nat_type, type, tc_nat: $i).
% 34.62/6.91 thf(c_HOL_OIf_type, type, c_HOL_OIf: $i > $i).
% 34.62/6.91 thf(v_Lba_____type, type, v_Lba____: $i).
% 34.62/6.91 thf(v_n_type, type, v_n: $i).
% 34.62/6.91 thf(v_a_____type, type, v_a____: $i).
% 34.62/6.91 thf(c_HOL_Oplus__class_Oplus_type, type, c_HOL_Oplus__class_Oplus: $i > $i >
% 34.62/6.91 $i > $i).
% 34.62/6.91 thf(tc_prod_type, type, tc_prod: $i > $i > $i).
% 34.62/6.91 thf(c_lessequals_type, type, c_lessequals: $i > $i).
% 34.62/6.91 thf(c_Orderings_Otop__class_Otop_type, type, c_Orderings_Otop__class_Otop:
% 34.62/6.91 $i > $i).
% 34.62/6.91 thf(c_Suc_type, type, c_Suc: $i > $i).
% 34.62/6.91 thf(tc_Arrow__Order__Mirabelle_Oalt_type, type, tc_Arrow__Order__Mirabelle_Oalt:
% 34.62/6.91 $i).
% 34.62/6.91 thf(c_Pair_type, type, c_Pair: $i > $i > $i > $i > $i).
% 34.62/6.91 thf(cls_CHAINED_1, axiom,
% 34.62/6.91 (( hBOOL @
% 34.62/6.91 ( hAPP @
% 34.62/6.91 ( hAPP @
% 34.62/6.91 ( c_in @
% 34.62/6.91 ( tc_prod @
% 34.62/6.91 tc_Arrow__Order__Mirabelle_Oalt @
% 34.62/6.91 tc_Arrow__Order__Mirabelle_Oalt ) ) @
% 34.62/6.91 ( c_Pair @
% 34.62/6.91 v_b____ @ v_a____ @ tc_Arrow__Order__Mirabelle_Oalt @
% 34.62/6.91 tc_Arrow__Order__Mirabelle_Oalt ) ) @
% 34.62/6.91 ( hAPP @
% 34.62/6.91 v_F @
% 34.62/6.91 ( hAPP @
% 34.62/6.91 ( c_COMBC @
% 34.62/6.91 ( hAPP @
% 34.62/6.91 ( c_COMBC @
% 34.62/6.91 ( c_COMBB @
% 34.62/6.91 ( c_HOL_OIf @
% 34.62/6.91 ( tc_fun @
% 34.62/6.91 ( tc_prod @
% 34.62/6.91 tc_Arrow__Order__Mirabelle_Oalt @
% 34.62/6.91 tc_Arrow__Order__Mirabelle_Oalt ) @
% 34.62/6.91 tc_bool ) ) @
% 34.62/6.91 ( hAPP @
% 34.62/6.91 ( c_COMBC @
% 34.62/6.91 ( c_COMBB @
% 34.62/6.91 ( c_HOL_Oord__class_Oless @ tc_nat ) @ v_h____ @
% 34.62/6.91 tc_nat @ ( tc_fun @ tc_nat @ tc_bool ) @
% 34.62/6.91 tc_Arrow__Order__Mirabelle_Oindi ) @
% 34.62/6.91 tc_Arrow__Order__Mirabelle_Oindi @ tc_nat @ tc_bool ) @
% 34.62/6.92 V_m ) @
% 34.62/6.92 tc_bool @
% 34.62/6.92 ( tc_fun @
% 34.62/6.92 ( tc_fun @
% 34.62/6.92 ( tc_prod @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oalt @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oalt ) @
% 34.62/6.92 tc_bool ) @
% 34.62/6.92 ( tc_fun @
% 34.62/6.92 ( tc_fun @
% 34.62/6.92 ( tc_prod @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oalt @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oalt ) @
% 34.62/6.92 tc_bool ) @
% 34.62/6.92 ( tc_fun @
% 34.62/6.92 ( tc_prod @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oalt @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oalt ) @
% 34.62/6.92 tc_bool ) ) ) @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oindi ) @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oindi @
% 34.62/6.92 ( tc_fun @
% 34.62/6.92 ( tc_prod @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oalt @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oalt ) @
% 34.62/6.92 tc_bool ) @
% 34.62/6.92 ( tc_fun @
% 34.62/6.92 ( tc_fun @
% 34.62/6.92 ( tc_prod @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oalt @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oalt ) @
% 34.62/6.92 tc_bool ) @
% 34.62/6.92 ( tc_fun @
% 34.62/6.92 ( tc_prod @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oalt @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oalt ) @
% 34.62/6.92 tc_bool ) ) ) @
% 34.62/6.92 v_Lab____ ) @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oindi @
% 34.62/6.92 ( tc_fun @
% 34.62/6.92 ( tc_prod @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oalt @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oalt ) @
% 34.62/6.92 tc_bool ) @
% 34.62/6.92 ( tc_fun @
% 34.62/6.92 ( tc_prod @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oalt @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oalt ) @
% 34.62/6.92 tc_bool ) ) @
% 34.62/6.92 v_Lba____ ) ) ) ) |
% 34.62/6.92 ( ~( hBOOL @
% 34.62/6.92 ( hAPP @
% 34.62/6.92 ( hAPP @ ( c_lessequals @ tc_nat ) @ V_m ) @
% 34.62/6.92 ( v_sko__CHAINED__1 @
% 34.62/6.92 v_F @ v_Lab____ @ v_Lba____ @ v_a____ @ v_b____ @ v_h____ ) ) ) ))).
% 34.62/6.92 thf(zip_derived_cl520, plain,
% 34.62/6.92 (![X0 : $i]:
% 34.62/6.92 ( (hBOOL @
% 34.62/6.92 (hAPP @
% 34.62/6.92 (hAPP @
% 34.62/6.92 (c_in @
% 34.62/6.92 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oalt)) @
% 34.62/6.92 (c_Pair @ v_b____ @ v_a____ @ tc_Arrow__Order__Mirabelle_Oalt @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oalt)) @
% 34.62/6.92 (hAPP @ v_F @
% 34.62/6.92 (hAPP @
% 34.62/6.92 (c_COMBC @
% 34.62/6.92 (hAPP @
% 34.62/6.92 (c_COMBC @
% 34.62/6.92 (c_COMBB @
% 34.62/6.92 (c_HOL_OIf @
% 34.62/6.92 (tc_fun @
% 34.62/6.92 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oalt) @
% 34.62/6.92 tc_bool)) @
% 34.62/6.92 (hAPP @
% 34.62/6.92 (c_COMBC @
% 34.62/6.92 (c_COMBB @ (c_HOL_Oord__class_Oless @ tc_nat) @ v_h____ @
% 34.62/6.92 tc_nat @ (tc_fun @ tc_nat @ tc_bool) @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oindi) @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oindi @ tc_nat @ tc_bool) @
% 34.62/6.92 X0) @
% 34.62/6.92 tc_bool @
% 34.62/6.92 (tc_fun @
% 34.62/6.92 (tc_fun @
% 34.62/6.92 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oalt) @
% 34.62/6.92 tc_bool) @
% 34.62/6.92 (tc_fun @
% 34.62/6.92 (tc_fun @
% 34.62/6.92 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oalt) @
% 34.62/6.92 tc_bool) @
% 34.62/6.92 (tc_fun @
% 34.62/6.92 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oalt) @
% 34.62/6.92 tc_bool))) @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oindi) @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oindi @
% 34.62/6.92 (tc_fun @
% 34.62/6.92 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oalt) @
% 34.62/6.92 tc_bool) @
% 34.62/6.92 (tc_fun @
% 34.62/6.92 (tc_fun @
% 34.62/6.92 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oalt) @
% 34.62/6.92 tc_bool) @
% 34.62/6.92 (tc_fun @
% 34.62/6.92 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oalt) @
% 34.62/6.92 tc_bool))) @
% 34.62/6.92 v_Lab____) @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oindi @
% 34.62/6.92 (tc_fun @
% 34.62/6.92 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oalt) @
% 34.62/6.92 tc_bool) @
% 34.62/6.92 (tc_fun @
% 34.62/6.92 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oalt) @
% 34.62/6.92 tc_bool)) @
% 34.62/6.92 v_Lba____))))
% 34.62/6.92 | ~ (hBOOL @
% 34.62/6.92 (hAPP @ (hAPP @ (c_lessequals @ tc_nat) @ X0) @
% 34.62/6.92 (v_sko__CHAINED__1 @ v_F @ v_Lab____ @ v_Lba____ @ v_a____ @
% 34.62/6.92 v_b____ @ v_h____))))),
% 34.62/6.92 inference('cnf', [status(esa)], [cls_CHAINED_1])).
% 34.62/6.92 thf(cls_CHAINED_0, axiom,
% 34.62/6.92 (hBOOL @
% 34.62/6.92 ( hAPP @
% 34.62/6.92 ( hAPP @
% 34.62/6.92 ( c_HOL_Oord__class_Oless @ tc_nat ) @
% 34.62/6.92 ( v_sko__CHAINED__1 @
% 34.62/6.92 v_F @ v_Lab____ @ v_Lba____ @ v_a____ @ v_b____ @ v_h____ ) ) @
% 34.62/6.92 ( c_Finite__Set_Ocard @
% 34.62/6.92 ( c_Orderings_Otop__class_Otop @
% 34.62/6.92 ( tc_fun @ tc_Arrow__Order__Mirabelle_Oindi @ tc_bool ) ) @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oindi ) ))).
% 34.62/6.92 thf(zip_derived_cl521, plain,
% 34.62/6.92 ( (hBOOL @
% 34.62/6.92 (hAPP @
% 34.62/6.92 (hAPP @ (c_HOL_Oord__class_Oless @ tc_nat) @
% 34.62/6.92 (v_sko__CHAINED__1 @ v_F @ v_Lab____ @ v_Lba____ @ v_a____ @
% 34.62/6.92 v_b____ @ v_h____)) @
% 34.62/6.92 (c_Finite__Set_Ocard @
% 34.62/6.92 (c_Orderings_Otop__class_Otop @
% 34.62/6.92 (tc_fun @ tc_Arrow__Order__Mirabelle_Oindi @ tc_bool)) @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oindi)))),
% 34.62/6.92 inference('cnf', [status(esa)], [cls_CHAINED_0])).
% 34.62/6.92 thf(cls_conjecture_2, conjecture,
% 34.62/6.92 (~( ( ~( hBOOL @
% 34.62/6.92 ( hAPP @
% 34.62/6.92 ( hAPP @ ( c_HOL_Oord__class_Oless @ tc_nat ) @ V_na ) @
% 34.62/6.92 ( c_Finite__Set_Ocard @
% 34.62/6.92 ( c_Orderings_Otop__class_Otop @
% 34.62/6.92 ( tc_fun @ tc_Arrow__Order__Mirabelle_Oindi @ tc_bool ) ) @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oindi ) ) ) ) |
% 34.62/6.92 ( ~( hBOOL @
% 34.62/6.92 ( hAPP @
% 34.62/6.92 ( hAPP @
% 34.62/6.92 ( c_in @
% 34.62/6.92 ( tc_prod @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oalt @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oalt ) ) @
% 34.62/6.92 ( c_Pair @
% 34.62/6.92 v_b____ @ v_a____ @ tc_Arrow__Order__Mirabelle_Oalt @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oalt ) ) @
% 34.62/6.92 ( hAPP @
% 34.62/6.92 v_F @
% 34.62/6.92 ( hAPP @
% 34.62/6.92 ( c_COMBC @
% 34.62/6.92 ( hAPP @
% 34.62/6.92 ( c_COMBC @
% 34.62/6.92 ( c_COMBB @
% 34.62/6.92 ( c_HOL_OIf @
% 34.62/6.92 ( tc_fun @
% 34.62/6.92 ( tc_prod @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oalt @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oalt ) @
% 34.62/6.92 tc_bool ) ) @
% 34.62/6.92 ( hAPP @
% 34.62/6.92 ( c_COMBC @
% 34.62/6.92 ( c_COMBB @
% 34.62/6.92 ( c_HOL_Oord__class_Oless @ tc_nat ) @
% 34.62/6.92 v_h____ @ tc_nat @
% 34.62/6.92 ( tc_fun @ tc_nat @ tc_bool ) @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oindi ) @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oindi @ tc_nat @
% 34.62/6.92 tc_bool ) @
% 34.62/6.92 ( hAPP @ v_n @ V_na ) ) @
% 34.62/6.92 tc_bool @
% 34.62/6.92 ( tc_fun @
% 34.62/6.92 ( tc_fun @
% 34.62/6.92 ( tc_prod @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oalt @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oalt ) @
% 34.62/6.92 tc_bool ) @
% 34.62/6.92 ( tc_fun @
% 34.62/6.92 ( tc_fun @
% 34.62/6.92 ( tc_prod @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oalt @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oalt ) @
% 34.62/6.92 tc_bool ) @
% 34.62/6.92 ( tc_fun @
% 34.62/6.92 ( tc_prod @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oalt @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oalt ) @
% 34.62/6.92 tc_bool ) ) ) @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oindi ) @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oindi @
% 34.62/6.92 ( tc_fun @
% 34.62/6.92 ( tc_prod @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oalt @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oalt ) @
% 34.62/6.92 tc_bool ) @
% 34.62/6.92 ( tc_fun @
% 34.62/6.92 ( tc_fun @
% 34.62/6.92 ( tc_prod @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oalt @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oalt ) @
% 34.62/6.92 tc_bool ) @
% 34.62/6.92 ( tc_fun @
% 34.62/6.92 ( tc_prod @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oalt @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oalt ) @
% 34.62/6.92 tc_bool ) ) ) @
% 34.62/6.92 v_Lab____ ) @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oindi @
% 34.62/6.92 ( tc_fun @
% 34.62/6.92 ( tc_prod @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oalt @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oalt ) @
% 34.62/6.92 tc_bool ) @
% 34.62/6.92 ( tc_fun @
% 34.62/6.92 ( tc_prod @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oalt @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oalt ) @
% 34.62/6.92 tc_bool ) ) @
% 34.62/6.92 v_Lba____ ) ) ) ) ) |
% 34.62/6.92 ( ~( hBOOL @
% 34.62/6.92 ( hAPP @
% 34.62/6.92 ( hAPP @
% 34.62/6.92 ( c_in @
% 34.62/6.92 ( tc_prod @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oalt @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oalt ) ) @
% 34.62/6.92 ( c_Pair @
% 34.62/6.92 v_a____ @ v_b____ @ tc_Arrow__Order__Mirabelle_Oalt @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oalt ) ) @
% 34.62/6.92 ( hAPP @
% 34.62/6.92 v_F @
% 34.62/6.92 ( hAPP @
% 34.62/6.92 ( c_COMBC @
% 34.62/6.92 ( hAPP @
% 34.62/6.92 ( c_COMBC @
% 34.62/6.92 ( c_COMBB @
% 34.62/6.92 ( c_HOL_OIf @
% 34.62/6.92 ( tc_fun @
% 34.62/6.92 ( tc_prod @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oalt @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oalt ) @
% 34.62/6.92 tc_bool ) ) @
% 34.62/6.92 ( hAPP @
% 34.62/6.92 ( c_COMBC @
% 34.62/6.92 ( c_COMBB @
% 34.62/6.92 ( c_HOL_Oord__class_Oless @ tc_nat ) @
% 34.62/6.92 v_h____ @ tc_nat @
% 34.62/6.92 ( tc_fun @ tc_nat @ tc_bool ) @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oindi ) @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oindi @ tc_nat @
% 34.62/6.92 tc_bool ) @
% 34.62/6.92 ( c_HOL_Oplus__class_Oplus @
% 34.62/6.92 V_na @ ( c_HOL_Oone__class_Oone @ tc_nat ) @
% 34.62/6.92 tc_nat ) ) @
% 34.62/6.92 tc_bool @
% 34.62/6.92 ( tc_fun @
% 34.62/6.92 ( tc_fun @
% 34.62/6.92 ( tc_prod @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oalt @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oalt ) @
% 34.62/6.92 tc_bool ) @
% 34.62/6.92 ( tc_fun @
% 34.62/6.92 ( tc_fun @
% 34.62/6.92 ( tc_prod @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oalt @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oalt ) @
% 34.62/6.92 tc_bool ) @
% 34.62/6.92 ( tc_fun @
% 34.62/6.92 ( tc_prod @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oalt @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oalt ) @
% 34.62/6.92 tc_bool ) ) ) @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oindi ) @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oindi @
% 34.62/6.92 ( tc_fun @
% 34.62/6.92 ( tc_prod @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oalt @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oalt ) @
% 34.62/6.92 tc_bool ) @
% 34.62/6.92 ( tc_fun @
% 34.62/6.92 ( tc_fun @
% 34.62/6.92 ( tc_prod @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oalt @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oalt ) @
% 34.62/6.92 tc_bool ) @
% 34.62/6.92 ( tc_fun @
% 34.62/6.92 ( tc_prod @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oalt @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oalt ) @
% 34.62/6.92 tc_bool ) ) ) @
% 34.62/6.92 v_Lab____ ) @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oindi @
% 34.62/6.92 ( tc_fun @
% 34.62/6.92 ( tc_prod @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oalt @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oalt ) @
% 34.62/6.92 tc_bool ) @
% 34.62/6.92 ( tc_fun @
% 34.62/6.92 ( tc_prod @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oalt @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oalt ) @
% 34.62/6.92 tc_bool ) ) @
% 34.62/6.92 v_Lba____ ) ) ) ) ) |
% 34.62/6.92 ( v_thesis____ ) ))).
% 34.62/6.92 thf(zf_stmt_0, negated_conjecture,
% 34.62/6.92 (( ~( hBOOL @
% 34.62/6.92 ( hAPP @
% 34.62/6.92 ( hAPP @ ( c_HOL_Oord__class_Oless @ tc_nat ) @ V_na ) @
% 34.62/6.92 ( c_Finite__Set_Ocard @
% 34.62/6.92 ( c_Orderings_Otop__class_Otop @
% 34.62/6.92 ( tc_fun @ tc_Arrow__Order__Mirabelle_Oindi @ tc_bool ) ) @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oindi ) ) ) ) |
% 34.62/6.92 ( ~( hBOOL @
% 34.62/6.92 ( hAPP @
% 34.62/6.92 ( hAPP @
% 34.62/6.92 ( c_in @
% 34.62/6.92 ( tc_prod @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oalt @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oalt ) ) @
% 34.62/6.92 ( c_Pair @
% 34.62/6.92 v_b____ @ v_a____ @ tc_Arrow__Order__Mirabelle_Oalt @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oalt ) ) @
% 34.62/6.92 ( hAPP @
% 34.62/6.92 v_F @
% 34.62/6.92 ( hAPP @
% 34.62/6.92 ( c_COMBC @
% 34.62/6.92 ( hAPP @
% 34.62/6.92 ( c_COMBC @
% 34.62/6.92 ( c_COMBB @
% 34.62/6.92 ( c_HOL_OIf @
% 34.62/6.92 ( tc_fun @
% 34.62/6.92 ( tc_prod @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oalt @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oalt ) @
% 34.62/6.92 tc_bool ) ) @
% 34.62/6.92 ( hAPP @
% 34.62/6.92 ( c_COMBC @
% 34.62/6.92 ( c_COMBB @
% 34.62/6.92 ( c_HOL_Oord__class_Oless @ tc_nat ) @ v_h____ @
% 34.62/6.92 tc_nat @ ( tc_fun @ tc_nat @ tc_bool ) @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oindi ) @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oindi @ tc_nat @ tc_bool ) @
% 34.62/6.92 ( hAPP @ v_n @ V_na ) ) @
% 34.62/6.92 tc_bool @
% 34.62/6.92 ( tc_fun @
% 34.62/6.92 ( tc_fun @
% 34.62/6.92 ( tc_prod @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oalt @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oalt ) @
% 34.62/6.92 tc_bool ) @
% 34.62/6.92 ( tc_fun @
% 34.62/6.92 ( tc_fun @
% 34.62/6.92 ( tc_prod @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oalt @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oalt ) @
% 34.62/6.92 tc_bool ) @
% 34.62/6.92 ( tc_fun @
% 34.62/6.92 ( tc_prod @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oalt @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oalt ) @
% 34.62/6.92 tc_bool ) ) ) @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oindi ) @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oindi @
% 34.62/6.92 ( tc_fun @
% 34.62/6.92 ( tc_prod @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oalt @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oalt ) @
% 34.62/6.92 tc_bool ) @
% 34.62/6.92 ( tc_fun @
% 34.62/6.92 ( tc_fun @
% 34.62/6.92 ( tc_prod @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oalt @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oalt ) @
% 34.62/6.92 tc_bool ) @
% 34.62/6.92 ( tc_fun @
% 34.62/6.92 ( tc_prod @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oalt @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oalt ) @
% 34.62/6.92 tc_bool ) ) ) @
% 34.62/6.92 v_Lab____ ) @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oindi @
% 34.62/6.92 ( tc_fun @
% 34.62/6.92 ( tc_prod @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oalt @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oalt ) @
% 34.62/6.92 tc_bool ) @
% 34.62/6.92 ( tc_fun @
% 34.62/6.92 ( tc_prod @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oalt @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oalt ) @
% 34.62/6.92 tc_bool ) ) @
% 34.62/6.92 v_Lba____ ) ) ) ) ) |
% 34.62/6.92 ( ~( hBOOL @
% 34.62/6.92 ( hAPP @
% 34.62/6.92 ( hAPP @
% 34.62/6.92 ( c_in @
% 34.62/6.92 ( tc_prod @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oalt @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oalt ) ) @
% 34.62/6.92 ( c_Pair @
% 34.62/6.92 v_a____ @ v_b____ @ tc_Arrow__Order__Mirabelle_Oalt @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oalt ) ) @
% 34.62/6.92 ( hAPP @
% 34.62/6.92 v_F @
% 34.62/6.92 ( hAPP @
% 34.62/6.92 ( c_COMBC @
% 34.62/6.92 ( hAPP @
% 34.62/6.92 ( c_COMBC @
% 34.62/6.92 ( c_COMBB @
% 34.62/6.92 ( c_HOL_OIf @
% 34.62/6.92 ( tc_fun @
% 34.62/6.92 ( tc_prod @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oalt @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oalt ) @
% 34.62/6.92 tc_bool ) ) @
% 34.62/6.92 ( hAPP @
% 34.62/6.92 ( c_COMBC @
% 34.62/6.92 ( c_COMBB @
% 34.62/6.92 ( c_HOL_Oord__class_Oless @ tc_nat ) @ v_h____ @
% 34.62/6.92 tc_nat @ ( tc_fun @ tc_nat @ tc_bool ) @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oindi ) @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oindi @ tc_nat @ tc_bool ) @
% 34.62/6.92 ( c_HOL_Oplus__class_Oplus @
% 34.62/6.92 V_na @ ( c_HOL_Oone__class_Oone @ tc_nat ) @ tc_nat ) ) @
% 34.62/6.92 tc_bool @
% 34.62/6.92 ( tc_fun @
% 34.62/6.92 ( tc_fun @
% 34.62/6.92 ( tc_prod @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oalt @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oalt ) @
% 34.62/6.92 tc_bool ) @
% 34.62/6.92 ( tc_fun @
% 34.62/6.92 ( tc_fun @
% 34.62/6.92 ( tc_prod @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oalt @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oalt ) @
% 34.62/6.92 tc_bool ) @
% 34.62/6.92 ( tc_fun @
% 34.62/6.92 ( tc_prod @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oalt @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oalt ) @
% 34.62/6.92 tc_bool ) ) ) @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oindi ) @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oindi @
% 34.62/6.92 ( tc_fun @
% 34.62/6.92 ( tc_prod @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oalt @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oalt ) @
% 34.62/6.92 tc_bool ) @
% 34.62/6.92 ( tc_fun @
% 34.62/6.92 ( tc_fun @
% 34.62/6.92 ( tc_prod @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oalt @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oalt ) @
% 34.62/6.92 tc_bool ) @
% 34.62/6.92 ( tc_fun @
% 34.62/6.92 ( tc_prod @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oalt @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oalt ) @
% 34.62/6.92 tc_bool ) ) ) @
% 34.62/6.92 v_Lab____ ) @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oindi @
% 34.62/6.92 ( tc_fun @
% 34.62/6.92 ( tc_prod @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oalt @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oalt ) @
% 34.62/6.92 tc_bool ) @
% 34.62/6.92 ( tc_fun @
% 34.62/6.92 ( tc_prod @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oalt @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oalt ) @
% 34.62/6.92 tc_bool ) ) @
% 34.62/6.92 v_Lba____ ) ) ) ) ) |
% 34.62/6.92 ( v_thesis____ )),
% 34.62/6.92 inference('cnf.neg', [status(esa)], [cls_conjecture_2])).
% 34.62/6.92 thf(zip_derived_cl524, plain,
% 34.62/6.92 (![X0 : $i]:
% 34.62/6.92 (~ (hBOOL @
% 34.62/6.92 (hAPP @ (hAPP @ (c_HOL_Oord__class_Oless @ tc_nat) @ X0) @
% 34.62/6.92 (c_Finite__Set_Ocard @
% 34.62/6.92 (c_Orderings_Otop__class_Otop @
% 34.62/6.92 (tc_fun @ tc_Arrow__Order__Mirabelle_Oindi @ tc_bool)) @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oindi)))
% 34.62/6.92 | ~ (hBOOL @
% 34.62/6.92 (hAPP @
% 34.62/6.92 (hAPP @
% 34.62/6.92 (c_in @
% 34.62/6.92 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oalt)) @
% 34.62/6.92 (c_Pair @ v_b____ @ v_a____ @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oalt @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oalt)) @
% 34.62/6.92 (hAPP @ v_F @
% 34.62/6.92 (hAPP @
% 34.62/6.92 (c_COMBC @
% 34.62/6.92 (hAPP @
% 34.62/6.92 (c_COMBC @
% 34.62/6.92 (c_COMBB @
% 34.62/6.92 (c_HOL_OIf @
% 34.62/6.92 (tc_fun @
% 34.62/6.92 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oalt) @
% 34.62/6.92 tc_bool)) @
% 34.62/6.92 (hAPP @
% 34.62/6.92 (c_COMBC @
% 34.62/6.92 (c_COMBB @ (c_HOL_Oord__class_Oless @ tc_nat) @
% 34.62/6.92 v_h____ @ tc_nat @ (tc_fun @ tc_nat @ tc_bool) @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oindi) @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oindi @ tc_nat @ tc_bool) @
% 34.62/6.92 (hAPP @ v_n @ X0)) @
% 34.62/6.92 tc_bool @
% 34.62/6.92 (tc_fun @
% 34.62/6.92 (tc_fun @
% 34.62/6.92 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oalt) @
% 34.62/6.92 tc_bool) @
% 34.62/6.92 (tc_fun @
% 34.62/6.92 (tc_fun @
% 34.62/6.92 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oalt) @
% 34.62/6.92 tc_bool) @
% 34.62/6.92 (tc_fun @
% 34.62/6.92 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oalt) @
% 34.62/6.92 tc_bool))) @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oindi) @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oindi @
% 34.62/6.92 (tc_fun @
% 34.62/6.92 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oalt) @
% 34.62/6.92 tc_bool) @
% 34.62/6.92 (tc_fun @
% 34.62/6.92 (tc_fun @
% 34.62/6.92 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oalt) @
% 34.62/6.92 tc_bool) @
% 34.62/6.92 (tc_fun @
% 34.62/6.92 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oalt) @
% 34.62/6.92 tc_bool))) @
% 34.62/6.92 v_Lab____) @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oindi @
% 34.62/6.92 (tc_fun @
% 34.62/6.92 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oalt) @
% 34.62/6.92 tc_bool) @
% 34.62/6.92 (tc_fun @
% 34.62/6.92 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oalt) @
% 34.62/6.92 tc_bool)) @
% 34.62/6.92 v_Lba____))))
% 34.62/6.92 | ~ (hBOOL @
% 34.62/6.92 (hAPP @
% 34.62/6.92 (hAPP @
% 34.62/6.92 (c_in @
% 34.62/6.92 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oalt)) @
% 34.62/6.92 (c_Pair @ v_a____ @ v_b____ @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oalt @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oalt)) @
% 34.62/6.92 (hAPP @ v_F @
% 34.62/6.92 (hAPP @
% 34.62/6.92 (c_COMBC @
% 34.62/6.92 (hAPP @
% 34.62/6.92 (c_COMBC @
% 34.62/6.92 (c_COMBB @
% 34.62/6.92 (c_HOL_OIf @
% 34.62/6.92 (tc_fun @
% 34.62/6.92 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oalt) @
% 34.62/6.92 tc_bool)) @
% 34.62/6.92 (hAPP @
% 34.62/6.92 (c_COMBC @
% 34.62/6.92 (c_COMBB @ (c_HOL_Oord__class_Oless @ tc_nat) @
% 34.62/6.92 v_h____ @ tc_nat @ (tc_fun @ tc_nat @ tc_bool) @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oindi) @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oindi @ tc_nat @ tc_bool) @
% 34.62/6.92 (c_HOL_Oplus__class_Oplus @ X0 @
% 34.62/6.92 (c_HOL_Oone__class_Oone @ tc_nat) @ tc_nat)) @
% 34.62/6.92 tc_bool @
% 34.62/6.92 (tc_fun @
% 34.62/6.92 (tc_fun @
% 34.62/6.92 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oalt) @
% 34.62/6.92 tc_bool) @
% 34.62/6.92 (tc_fun @
% 34.62/6.92 (tc_fun @
% 34.62/6.92 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oalt) @
% 34.62/6.92 tc_bool) @
% 34.62/6.92 (tc_fun @
% 34.62/6.92 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oalt) @
% 34.62/6.92 tc_bool))) @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oindi) @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oindi @
% 34.62/6.92 (tc_fun @
% 34.62/6.92 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oalt) @
% 34.62/6.92 tc_bool) @
% 34.62/6.92 (tc_fun @
% 34.62/6.92 (tc_fun @
% 34.62/6.92 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oalt) @
% 34.62/6.92 tc_bool) @
% 34.62/6.92 (tc_fun @
% 34.62/6.92 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oalt) @
% 34.62/6.92 tc_bool))) @
% 34.62/6.92 v_Lab____) @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oindi @
% 34.62/6.92 (tc_fun @
% 34.62/6.92 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oalt) @
% 34.62/6.92 tc_bool) @
% 34.62/6.92 (tc_fun @
% 34.62/6.92 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oalt) @
% 34.62/6.92 tc_bool)) @
% 34.62/6.92 v_Lba____))))
% 34.62/6.92 | (v_thesis____))),
% 34.62/6.92 inference('cnf', [status(esa)], [zf_stmt_0])).
% 34.62/6.92 thf(cls_conjecture_0, conjecture, (v_thesis____)).
% 34.62/6.92 thf(zf_stmt_1, negated_conjecture, (~( v_thesis____ )),
% 34.62/6.92 inference('cnf.neg', [status(esa)], [cls_conjecture_0])).
% 34.62/6.92 thf(zip_derived_cl522, plain, (~ (v_thesis____)),
% 34.62/6.92 inference('cnf', [status(esa)], [zf_stmt_1])).
% 34.62/6.92 thf(zip_derived_cl1115, plain,
% 34.62/6.92 (![X0 : $i]:
% 34.62/6.92 (~ (hBOOL @
% 34.62/6.92 (hAPP @
% 34.62/6.92 (hAPP @
% 34.62/6.92 (c_in @
% 34.62/6.92 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oalt)) @
% 34.62/6.92 (c_Pair @ v_a____ @ v_b____ @ tc_Arrow__Order__Mirabelle_Oalt @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oalt)) @
% 34.62/6.92 (hAPP @ v_F @
% 34.62/6.92 (hAPP @
% 34.62/6.92 (c_COMBC @
% 34.62/6.92 (hAPP @
% 34.62/6.92 (c_COMBC @
% 34.62/6.92 (c_COMBB @
% 34.62/6.92 (c_HOL_OIf @
% 34.62/6.92 (tc_fun @
% 34.62/6.92 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oalt) @
% 34.62/6.92 tc_bool)) @
% 34.62/6.92 (hAPP @
% 34.62/6.92 (c_COMBC @
% 34.62/6.92 (c_COMBB @ (c_HOL_Oord__class_Oless @ tc_nat) @
% 34.62/6.92 v_h____ @ tc_nat @ (tc_fun @ tc_nat @ tc_bool) @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oindi) @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oindi @ tc_nat @ tc_bool) @
% 34.62/6.92 (c_HOL_Oplus__class_Oplus @ X0 @
% 34.62/6.92 (c_HOL_Oone__class_Oone @ tc_nat) @ tc_nat)) @
% 34.62/6.92 tc_bool @
% 34.62/6.92 (tc_fun @
% 34.62/6.92 (tc_fun @
% 34.62/6.92 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oalt) @
% 34.62/6.92 tc_bool) @
% 34.62/6.92 (tc_fun @
% 34.62/6.92 (tc_fun @
% 34.62/6.92 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oalt) @
% 34.62/6.92 tc_bool) @
% 34.62/6.92 (tc_fun @
% 34.62/6.92 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oalt) @
% 34.62/6.92 tc_bool))) @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oindi) @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oindi @
% 34.62/6.92 (tc_fun @
% 34.62/6.92 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oalt) @
% 34.62/6.92 tc_bool) @
% 34.62/6.92 (tc_fun @
% 34.62/6.92 (tc_fun @
% 34.62/6.92 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oalt) @
% 34.62/6.92 tc_bool) @
% 34.62/6.92 (tc_fun @
% 34.62/6.92 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oalt) @
% 34.62/6.92 tc_bool))) @
% 34.62/6.92 v_Lab____) @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oindi @
% 34.62/6.92 (tc_fun @
% 34.62/6.92 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oalt) @
% 34.62/6.92 tc_bool) @
% 34.62/6.92 (tc_fun @
% 34.62/6.92 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oalt) @
% 34.62/6.92 tc_bool)) @
% 34.62/6.92 v_Lba____))))
% 34.62/6.92 | ~ (hBOOL @
% 34.62/6.92 (hAPP @
% 34.62/6.92 (hAPP @
% 34.62/6.92 (c_in @
% 34.62/6.92 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oalt)) @
% 34.62/6.92 (c_Pair @ v_b____ @ v_a____ @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oalt @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oalt)) @
% 34.62/6.92 (hAPP @ v_F @
% 34.62/6.92 (hAPP @
% 34.62/6.92 (c_COMBC @
% 34.62/6.92 (hAPP @
% 34.62/6.92 (c_COMBC @
% 34.62/6.92 (c_COMBB @
% 34.62/6.92 (c_HOL_OIf @
% 34.62/6.92 (tc_fun @
% 34.62/6.92 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oalt) @
% 34.62/6.92 tc_bool)) @
% 34.62/6.92 (hAPP @
% 34.62/6.92 (c_COMBC @
% 34.62/6.92 (c_COMBB @ (c_HOL_Oord__class_Oless @ tc_nat) @
% 34.62/6.92 v_h____ @ tc_nat @ (tc_fun @ tc_nat @ tc_bool) @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oindi) @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oindi @ tc_nat @ tc_bool) @
% 34.62/6.92 (hAPP @ v_n @ X0)) @
% 34.62/6.92 tc_bool @
% 34.62/6.92 (tc_fun @
% 34.62/6.92 (tc_fun @
% 34.62/6.92 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oalt) @
% 34.62/6.92 tc_bool) @
% 34.62/6.92 (tc_fun @
% 34.62/6.92 (tc_fun @
% 34.62/6.92 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oalt) @
% 34.62/6.92 tc_bool) @
% 34.62/6.92 (tc_fun @
% 34.62/6.92 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oalt) @
% 34.62/6.92 tc_bool))) @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oindi) @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oindi @
% 34.62/6.92 (tc_fun @
% 34.62/6.92 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oalt) @
% 34.62/6.92 tc_bool) @
% 34.62/6.92 (tc_fun @
% 34.62/6.92 (tc_fun @
% 34.62/6.92 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oalt) @
% 34.62/6.92 tc_bool) @
% 34.62/6.92 (tc_fun @
% 34.62/6.92 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oalt) @
% 34.62/6.92 tc_bool))) @
% 34.62/6.92 v_Lab____) @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oindi @
% 34.62/6.92 (tc_fun @
% 34.62/6.92 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oalt) @
% 34.62/6.92 tc_bool) @
% 34.62/6.92 (tc_fun @
% 34.62/6.92 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oalt) @
% 34.62/6.92 tc_bool)) @
% 34.62/6.92 v_Lba____))))
% 34.62/6.92 | ~ (hBOOL @
% 34.62/6.92 (hAPP @ (hAPP @ (c_HOL_Oord__class_Oless @ tc_nat) @ X0) @
% 34.62/6.92 (c_Finite__Set_Ocard @
% 34.62/6.92 (c_Orderings_Otop__class_Otop @
% 34.62/6.92 (tc_fun @ tc_Arrow__Order__Mirabelle_Oindi @ tc_bool)) @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oindi))))),
% 34.62/6.92 inference('dp-resolution', [status(thm)],
% 34.62/6.92 [zip_derived_cl524, zip_derived_cl522])).
% 34.62/6.92 thf(cls_Suc__eq__plus1_0, axiom,
% 34.62/6.92 (( c_Suc @ V_n ) =
% 34.62/6.92 ( c_HOL_Oplus__class_Oplus @
% 34.62/6.92 V_n @ ( c_HOL_Oone__class_Oone @ tc_nat ) @ tc_nat ))).
% 34.62/6.92 thf(zip_derived_cl215, plain,
% 34.62/6.92 (![X0 : $i]:
% 34.62/6.92 ((c_Suc @ X0)
% 34.62/6.92 = (c_HOL_Oplus__class_Oplus @ X0 @
% 34.62/6.92 (c_HOL_Oone__class_Oone @ tc_nat) @ tc_nat))),
% 34.62/6.92 inference('cnf', [status(esa)], [cls_Suc__eq__plus1_0])).
% 34.62/6.92 thf(zip_derived_cl6383, plain,
% 34.62/6.92 (![X0 : $i]:
% 34.62/6.92 (~ (hBOOL @
% 34.62/6.92 (hAPP @
% 34.62/6.92 (hAPP @
% 34.62/6.92 (c_in @
% 34.62/6.92 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oalt)) @
% 34.62/6.92 (c_Pair @ v_a____ @ v_b____ @ tc_Arrow__Order__Mirabelle_Oalt @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oalt)) @
% 34.62/6.92 (hAPP @ v_F @
% 34.62/6.92 (hAPP @
% 34.62/6.92 (c_COMBC @
% 34.62/6.92 (hAPP @
% 34.62/6.92 (c_COMBC @
% 34.62/6.92 (c_COMBB @
% 34.62/6.92 (c_HOL_OIf @
% 34.62/6.92 (tc_fun @
% 34.62/6.92 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oalt) @
% 34.62/6.92 tc_bool)) @
% 34.62/6.92 (hAPP @
% 34.62/6.92 (c_COMBC @
% 34.62/6.92 (c_COMBB @ (c_HOL_Oord__class_Oless @ tc_nat) @
% 34.62/6.92 v_h____ @ tc_nat @ (tc_fun @ tc_nat @ tc_bool) @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oindi) @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oindi @ tc_nat @ tc_bool) @
% 34.62/6.92 (c_Suc @ X0)) @
% 34.62/6.92 tc_bool @
% 34.62/6.92 (tc_fun @
% 34.62/6.92 (tc_fun @
% 34.62/6.92 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oalt) @
% 34.62/6.92 tc_bool) @
% 34.62/6.92 (tc_fun @
% 34.62/6.92 (tc_fun @
% 34.62/6.92 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oalt) @
% 34.62/6.92 tc_bool) @
% 34.62/6.92 (tc_fun @
% 34.62/6.92 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oalt) @
% 34.62/6.92 tc_bool))) @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oindi) @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oindi @
% 34.62/6.92 (tc_fun @
% 34.62/6.92 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oalt) @
% 34.62/6.92 tc_bool) @
% 34.62/6.92 (tc_fun @
% 34.62/6.92 (tc_fun @
% 34.62/6.92 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oalt) @
% 34.62/6.92 tc_bool) @
% 34.62/6.92 (tc_fun @
% 34.62/6.92 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oalt) @
% 34.62/6.92 tc_bool))) @
% 34.62/6.92 v_Lab____) @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oindi @
% 34.62/6.92 (tc_fun @
% 34.62/6.92 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oalt) @
% 34.62/6.92 tc_bool) @
% 34.62/6.92 (tc_fun @
% 34.62/6.92 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oalt) @
% 34.62/6.92 tc_bool)) @
% 34.62/6.92 v_Lba____))))
% 34.62/6.92 | ~ (hBOOL @
% 34.62/6.92 (hAPP @
% 34.62/6.92 (hAPP @
% 34.62/6.92 (c_in @
% 34.62/6.92 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oalt)) @
% 34.62/6.92 (c_Pair @ v_b____ @ v_a____ @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oalt @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oalt)) @
% 34.62/6.92 (hAPP @ v_F @
% 34.62/6.92 (hAPP @
% 34.62/6.92 (c_COMBC @
% 34.62/6.92 (hAPP @
% 34.62/6.92 (c_COMBC @
% 34.62/6.92 (c_COMBB @
% 34.62/6.92 (c_HOL_OIf @
% 34.62/6.92 (tc_fun @
% 34.62/6.92 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oalt) @
% 34.62/6.92 tc_bool)) @
% 34.62/6.92 (hAPP @
% 34.62/6.92 (c_COMBC @
% 34.62/6.92 (c_COMBB @ (c_HOL_Oord__class_Oless @ tc_nat) @
% 34.62/6.92 v_h____ @ tc_nat @ (tc_fun @ tc_nat @ tc_bool) @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oindi) @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oindi @ tc_nat @ tc_bool) @
% 34.62/6.92 (hAPP @ v_n @ X0)) @
% 34.62/6.92 tc_bool @
% 34.62/6.92 (tc_fun @
% 34.62/6.92 (tc_fun @
% 34.62/6.92 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oalt) @
% 34.62/6.92 tc_bool) @
% 34.62/6.92 (tc_fun @
% 34.62/6.92 (tc_fun @
% 34.62/6.92 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oalt) @
% 34.62/6.92 tc_bool) @
% 34.62/6.92 (tc_fun @
% 34.62/6.92 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oalt) @
% 34.62/6.92 tc_bool))) @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oindi) @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oindi @
% 34.62/6.92 (tc_fun @
% 34.62/6.92 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oalt) @
% 34.62/6.92 tc_bool) @
% 34.62/6.92 (tc_fun @
% 34.62/6.92 (tc_fun @
% 34.62/6.92 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oalt) @
% 34.62/6.92 tc_bool) @
% 34.62/6.92 (tc_fun @
% 34.62/6.92 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oalt) @
% 34.62/6.92 tc_bool))) @
% 34.62/6.92 v_Lab____) @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oindi @
% 34.62/6.92 (tc_fun @
% 34.62/6.92 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oalt) @
% 34.62/6.92 tc_bool) @
% 34.62/6.92 (tc_fun @
% 34.62/6.92 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oalt) @
% 34.62/6.92 tc_bool)) @
% 34.62/6.92 v_Lba____))))
% 34.62/6.92 | ~ (hBOOL @
% 34.62/6.92 (hAPP @ (hAPP @ (c_HOL_Oord__class_Oless @ tc_nat) @ X0) @
% 34.62/6.92 (c_Finite__Set_Ocard @
% 34.62/6.92 (c_Orderings_Otop__class_Otop @
% 34.62/6.92 (tc_fun @ tc_Arrow__Order__Mirabelle_Oindi @ tc_bool)) @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oindi))))),
% 34.62/6.92 inference('demod', [status(thm)], [zip_derived_cl1115, zip_derived_cl215])).
% 34.62/6.92 thf(zip_derived_cl6387, plain,
% 34.62/6.92 ((~ (hBOOL @
% 34.62/6.92 (hAPP @
% 34.62/6.92 (hAPP @
% 34.62/6.92 (c_in @
% 34.62/6.92 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oalt)) @
% 34.62/6.92 (c_Pair @ v_a____ @ v_b____ @ tc_Arrow__Order__Mirabelle_Oalt @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oalt)) @
% 34.62/6.92 (hAPP @ v_F @
% 34.62/6.92 (hAPP @
% 34.62/6.92 (c_COMBC @
% 34.62/6.92 (hAPP @
% 34.62/6.92 (c_COMBC @
% 34.62/6.92 (c_COMBB @
% 34.62/6.92 (c_HOL_OIf @
% 34.62/6.92 (tc_fun @
% 34.62/6.92 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oalt) @
% 34.62/6.92 tc_bool)) @
% 34.62/6.92 (hAPP @
% 34.62/6.92 (c_COMBC @
% 34.62/6.92 (c_COMBB @ (c_HOL_Oord__class_Oless @ tc_nat) @ v_h____ @
% 34.62/6.92 tc_nat @ (tc_fun @ tc_nat @ tc_bool) @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oindi) @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oindi @ tc_nat @ tc_bool) @
% 34.62/6.92 (c_Suc @
% 34.62/6.92 (v_sko__CHAINED__1 @ v_F @ v_Lab____ @ v_Lba____ @
% 34.62/6.92 v_a____ @ v_b____ @ v_h____))) @
% 34.62/6.92 tc_bool @
% 34.62/6.92 (tc_fun @
% 34.62/6.92 (tc_fun @
% 34.62/6.92 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oalt) @
% 34.62/6.92 tc_bool) @
% 34.62/6.92 (tc_fun @
% 34.62/6.92 (tc_fun @
% 34.62/6.92 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oalt) @
% 34.62/6.92 tc_bool) @
% 34.62/6.92 (tc_fun @
% 34.62/6.92 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oalt) @
% 34.62/6.92 tc_bool))) @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oindi) @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oindi @
% 34.62/6.92 (tc_fun @
% 34.62/6.92 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oalt) @
% 34.62/6.92 tc_bool) @
% 34.62/6.92 (tc_fun @
% 34.62/6.92 (tc_fun @
% 34.62/6.92 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oalt) @
% 34.62/6.92 tc_bool) @
% 34.62/6.92 (tc_fun @
% 34.62/6.92 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oalt) @
% 34.62/6.92 tc_bool))) @
% 34.62/6.92 v_Lab____) @
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% 34.62/6.92 | ~ (hBOOL @
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% 34.62/6.92 (c_Pair @ v_b____ @ v_a____ @ tc_Arrow__Order__Mirabelle_Oalt @
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% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oindi @ tc_nat @ tc_bool) @
% 34.62/6.92 (hAPP @ v_n @
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% 34.62/6.92 (tc_fun @
% 34.62/6.92 (tc_fun @
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% 34.62/6.92 (tc_fun @
% 34.62/6.92 (tc_fun @
% 34.62/6.92 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
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% 34.62/6.92 tc_bool) @
% 34.62/6.92 (tc_fun @
% 34.62/6.92 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
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% 34.62/6.92 (tc_fun @
% 34.62/6.92 (tc_fun @
% 34.62/6.92 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
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% 34.62/6.92 tc_bool) @
% 34.62/6.92 (tc_fun @
% 34.62/6.92 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
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% 34.62/6.92 v_Lab____) @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oindi @
% 34.62/6.92 (tc_fun @
% 34.62/6.92 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oalt) @
% 34.62/6.92 tc_bool) @
% 34.62/6.92 (tc_fun @
% 34.62/6.92 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oalt) @
% 34.62/6.92 tc_bool)) @
% 34.62/6.92 v_Lba____)))))),
% 34.62/6.92 inference('s_sup-', [status(thm)],
% 34.62/6.92 [zip_derived_cl521, zip_derived_cl6383])).
% 34.62/6.92 thf(cls_CHAINED_2, axiom,
% 34.62/6.92 (hBOOL @
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% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oalt ) @
% 34.62/6.92 tc_bool ) ) @
% 34.62/6.92 ( hAPP @
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% 34.62/6.92 ( c_COMBB @
% 34.62/6.92 ( c_HOL_Oord__class_Oless @ tc_nat ) @ v_h____ @
% 34.62/6.92 tc_nat @ ( tc_fun @ tc_nat @ tc_bool ) @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oindi ) @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oindi @ tc_nat @ tc_bool ) @
% 34.62/6.92 ( c_HOL_Oplus__class_Oplus @
% 34.62/6.92 ( v_sko__CHAINED__1 @
% 34.62/6.92 v_F @ v_Lab____ @ v_Lba____ @ v_a____ @ v_b____ @
% 34.62/6.92 v_h____ ) @
% 34.62/6.92 ( c_HOL_Oone__class_Oone @ tc_nat ) @ tc_nat ) ) @
% 34.62/6.92 tc_bool @
% 34.62/6.92 ( tc_fun @
% 34.62/6.92 ( tc_fun @
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% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oalt ) @
% 34.62/6.92 tc_bool ) @
% 34.62/6.92 ( tc_fun @
% 34.62/6.92 ( tc_fun @
% 34.62/6.92 ( tc_prod @
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% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oalt ) @
% 34.62/6.92 tc_bool ) @
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% 34.62/6.92 ( tc_prod @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oalt @
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% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oindi @
% 34.62/6.92 ( tc_fun @
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% 34.62/6.92 ( tc_fun @
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% 34.62/6.92 ( tc_prod @
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% 34.62/6.92 tc_bool ) @
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% 34.62/6.92 ( tc_prod @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oalt @
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% 34.62/6.92 v_Lab____ ) @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oindi @
% 34.62/6.92 ( tc_fun @
% 34.62/6.92 ( tc_prod @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oalt @
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% 34.62/6.92 tc_bool ) @
% 34.62/6.92 ( tc_fun @
% 34.62/6.92 ( tc_prod @
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% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oalt ) @
% 34.62/6.92 tc_bool ) ) @
% 34.62/6.92 v_Lba____ ) ) ))).
% 34.62/6.92 thf(zip_derived_cl519, plain,
% 34.62/6.92 ( (hBOOL @
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% 34.62/6.92 (hAPP @
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% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oindi @ tc_nat @ tc_bool) @
% 34.62/6.92 (c_HOL_Oplus__class_Oplus @
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% 34.62/6.92 v_b____ @ v_h____) @
% 34.62/6.92 (c_HOL_Oone__class_Oone @ tc_nat) @ tc_nat)) @
% 34.62/6.92 tc_bool @
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% 34.62/6.92 (tc_fun @
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% 34.62/6.92 (tc_fun @
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% 34.62/6.92 (tc_fun @
% 34.62/6.92 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
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% 34.62/6.92 (tc_fun @
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% 34.62/6.92 v_Lba____))))),
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% 34.62/6.92 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oalt) @
% 34.62/6.92 tc_bool) @
% 34.62/6.92 (tc_fun @
% 34.62/6.92 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oalt) @
% 34.62/6.92 tc_bool)) @
% 34.62/6.92 v_Lba____))))),
% 34.62/6.92 inference('demod', [status(thm)],
% 34.62/6.92 [zip_derived_cl6387, zip_derived_cl3041])).
% 34.62/6.92 thf(zip_derived_cl9847, plain,
% 34.62/6.92 (~ (hBOOL @
% 34.62/6.92 (hAPP @
% 34.62/6.92 (hAPP @ (c_lessequals @ tc_nat) @
% 34.62/6.92 (hAPP @ v_n @
% 34.62/6.92 (v_sko__CHAINED__1 @ v_F @ v_Lab____ @ v_Lba____ @ v_a____ @
% 34.62/6.92 v_b____ @ v_h____))) @
% 34.62/6.92 (v_sko__CHAINED__1 @ v_F @ v_Lab____ @ v_Lba____ @ v_a____ @
% 34.62/6.92 v_b____ @ v_h____)))),
% 34.62/6.92 inference('s_sup-', [status(thm)],
% 34.62/6.92 [zip_derived_cl520, zip_derived_cl6389])).
% 34.62/6.92 thf(zip_derived_cl521, plain,
% 34.62/6.92 ( (hBOOL @
% 34.62/6.92 (hAPP @
% 34.62/6.92 (hAPP @ (c_HOL_Oord__class_Oless @ tc_nat) @
% 34.62/6.92 (v_sko__CHAINED__1 @ v_F @ v_Lab____ @ v_Lba____ @ v_a____ @
% 34.62/6.92 v_b____ @ v_h____)) @
% 34.62/6.92 (c_Finite__Set_Ocard @
% 34.62/6.92 (c_Orderings_Otop__class_Otop @
% 34.62/6.92 (tc_fun @ tc_Arrow__Order__Mirabelle_Oindi @ tc_bool)) @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oindi)))),
% 34.62/6.92 inference('cnf', [status(esa)], [cls_CHAINED_0])).
% 34.62/6.92 thf(cls_conjecture_1, conjecture,
% 34.62/6.92 (~( ( ~( hBOOL @
% 34.62/6.92 ( hAPP @
% 34.62/6.92 ( hAPP @ ( c_HOL_Oord__class_Oless @ tc_nat ) @ V_na ) @
% 34.62/6.92 ( c_Finite__Set_Ocard @
% 34.62/6.92 ( c_Orderings_Otop__class_Otop @
% 34.62/6.92 ( tc_fun @ tc_Arrow__Order__Mirabelle_Oindi @ tc_bool ) ) @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oindi ) ) ) ) |
% 34.62/6.92 ( hBOOL @
% 34.62/6.92 ( hAPP @
% 34.62/6.92 ( hAPP @ ( c_lessequals @ tc_nat ) @ ( hAPP @ v_n @ V_na ) ) @ V_na ) ) |
% 34.62/6.92 ( ~( hBOOL @
% 34.62/6.92 ( hAPP @
% 34.62/6.92 ( hAPP @
% 34.62/6.92 ( c_in @
% 34.62/6.92 ( tc_prod @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oalt @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oalt ) ) @
% 34.62/6.92 ( c_Pair @
% 34.62/6.92 v_a____ @ v_b____ @ tc_Arrow__Order__Mirabelle_Oalt @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oalt ) ) @
% 34.62/6.92 ( hAPP @
% 34.62/6.92 v_F @
% 34.62/6.92 ( hAPP @
% 34.62/6.92 ( c_COMBC @
% 34.62/6.92 ( hAPP @
% 34.62/6.92 ( c_COMBC @
% 34.62/6.92 ( c_COMBB @
% 34.62/6.92 ( c_HOL_OIf @
% 34.62/6.92 ( tc_fun @
% 34.62/6.92 ( tc_prod @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oalt @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oalt ) @
% 34.62/6.92 tc_bool ) ) @
% 34.62/6.92 ( hAPP @
% 34.62/6.92 ( c_COMBC @
% 34.62/6.92 ( c_COMBB @
% 34.62/6.92 ( c_HOL_Oord__class_Oless @ tc_nat ) @
% 34.62/6.92 v_h____ @ tc_nat @
% 34.62/6.92 ( tc_fun @ tc_nat @ tc_bool ) @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oindi ) @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oindi @ tc_nat @
% 34.62/6.92 tc_bool ) @
% 34.62/6.92 ( c_HOL_Oplus__class_Oplus @
% 34.62/6.92 V_na @ ( c_HOL_Oone__class_Oone @ tc_nat ) @
% 34.62/6.92 tc_nat ) ) @
% 34.62/6.92 tc_bool @
% 34.62/6.92 ( tc_fun @
% 34.62/6.92 ( tc_fun @
% 34.62/6.92 ( tc_prod @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oalt @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oalt ) @
% 34.62/6.92 tc_bool ) @
% 34.62/6.92 ( tc_fun @
% 34.62/6.92 ( tc_fun @
% 34.62/6.92 ( tc_prod @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oalt @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oalt ) @
% 34.62/6.92 tc_bool ) @
% 34.62/6.92 ( tc_fun @
% 34.62/6.92 ( tc_prod @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oalt @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oalt ) @
% 34.62/6.92 tc_bool ) ) ) @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oindi ) @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oindi @
% 34.62/6.92 ( tc_fun @
% 34.62/6.92 ( tc_prod @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oalt @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oalt ) @
% 34.62/6.92 tc_bool ) @
% 34.62/6.92 ( tc_fun @
% 34.62/6.92 ( tc_fun @
% 34.62/6.92 ( tc_prod @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oalt @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oalt ) @
% 34.62/6.92 tc_bool ) @
% 34.62/6.92 ( tc_fun @
% 34.62/6.92 ( tc_prod @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oalt @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oalt ) @
% 34.62/6.92 tc_bool ) ) ) @
% 34.62/6.92 v_Lab____ ) @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oindi @
% 34.62/6.92 ( tc_fun @
% 34.62/6.92 ( tc_prod @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oalt @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oalt ) @
% 34.62/6.92 tc_bool ) @
% 34.62/6.92 ( tc_fun @
% 34.62/6.92 ( tc_prod @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oalt @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oalt ) @
% 34.62/6.92 tc_bool ) ) @
% 34.62/6.92 v_Lba____ ) ) ) ) ) |
% 34.62/6.92 ( v_thesis____ ) ))).
% 34.62/6.92 thf(zf_stmt_2, negated_conjecture,
% 34.62/6.92 (( ~( hBOOL @
% 34.62/6.92 ( hAPP @
% 34.62/6.92 ( hAPP @ ( c_HOL_Oord__class_Oless @ tc_nat ) @ V_na ) @
% 34.62/6.92 ( c_Finite__Set_Ocard @
% 34.62/6.92 ( c_Orderings_Otop__class_Otop @
% 34.62/6.92 ( tc_fun @ tc_Arrow__Order__Mirabelle_Oindi @ tc_bool ) ) @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oindi ) ) ) ) |
% 34.62/6.92 ( hBOOL @
% 34.62/6.92 ( hAPP @
% 34.62/6.92 ( hAPP @ ( c_lessequals @ tc_nat ) @ ( hAPP @ v_n @ V_na ) ) @ V_na ) ) |
% 34.62/6.92 ( ~( hBOOL @
% 34.62/6.92 ( hAPP @
% 34.62/6.92 ( hAPP @
% 34.62/6.92 ( c_in @
% 34.62/6.92 ( tc_prod @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oalt @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oalt ) ) @
% 34.62/6.92 ( c_Pair @
% 34.62/6.92 v_a____ @ v_b____ @ tc_Arrow__Order__Mirabelle_Oalt @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oalt ) ) @
% 34.62/6.92 ( hAPP @
% 34.62/6.92 v_F @
% 34.62/6.92 ( hAPP @
% 34.62/6.92 ( c_COMBC @
% 34.62/6.92 ( hAPP @
% 34.62/6.92 ( c_COMBC @
% 34.62/6.92 ( c_COMBB @
% 34.62/6.92 ( c_HOL_OIf @
% 34.62/6.92 ( tc_fun @
% 34.62/6.92 ( tc_prod @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oalt @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oalt ) @
% 34.62/6.92 tc_bool ) ) @
% 34.62/6.92 ( hAPP @
% 34.62/6.92 ( c_COMBC @
% 34.62/6.92 ( c_COMBB @
% 34.62/6.92 ( c_HOL_Oord__class_Oless @ tc_nat ) @ v_h____ @
% 34.62/6.92 tc_nat @ ( tc_fun @ tc_nat @ tc_bool ) @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oindi ) @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oindi @ tc_nat @ tc_bool ) @
% 34.62/6.92 ( c_HOL_Oplus__class_Oplus @
% 34.62/6.92 V_na @ ( c_HOL_Oone__class_Oone @ tc_nat ) @ tc_nat ) ) @
% 34.62/6.92 tc_bool @
% 34.62/6.92 ( tc_fun @
% 34.62/6.92 ( tc_fun @
% 34.62/6.92 ( tc_prod @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oalt @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oalt ) @
% 34.62/6.92 tc_bool ) @
% 34.62/6.92 ( tc_fun @
% 34.62/6.92 ( tc_fun @
% 34.62/6.92 ( tc_prod @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oalt @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oalt ) @
% 34.62/6.92 tc_bool ) @
% 34.62/6.92 ( tc_fun @
% 34.62/6.92 ( tc_prod @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oalt @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oalt ) @
% 34.62/6.92 tc_bool ) ) ) @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oindi ) @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oindi @
% 34.62/6.92 ( tc_fun @
% 34.62/6.92 ( tc_prod @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oalt @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oalt ) @
% 34.62/6.92 tc_bool ) @
% 34.62/6.92 ( tc_fun @
% 34.62/6.92 ( tc_fun @
% 34.62/6.92 ( tc_prod @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oalt @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oalt ) @
% 34.62/6.92 tc_bool ) @
% 34.62/6.92 ( tc_fun @
% 34.62/6.92 ( tc_prod @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oalt @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oalt ) @
% 34.62/6.92 tc_bool ) ) ) @
% 34.62/6.92 v_Lab____ ) @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oindi @
% 34.62/6.92 ( tc_fun @
% 34.62/6.92 ( tc_prod @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oalt @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oalt ) @
% 34.62/6.92 tc_bool ) @
% 34.62/6.92 ( tc_fun @
% 34.62/6.92 ( tc_prod @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oalt @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oalt ) @
% 34.62/6.92 tc_bool ) ) @
% 34.62/6.92 v_Lba____ ) ) ) ) ) |
% 34.62/6.92 ( v_thesis____ )),
% 34.62/6.92 inference('cnf.neg', [status(esa)], [cls_conjecture_1])).
% 34.62/6.92 thf(zip_derived_cl523, plain,
% 34.62/6.92 (![X0 : $i]:
% 34.62/6.92 (~ (hBOOL @
% 34.62/6.92 (hAPP @ (hAPP @ (c_HOL_Oord__class_Oless @ tc_nat) @ X0) @
% 34.62/6.92 (c_Finite__Set_Ocard @
% 34.62/6.92 (c_Orderings_Otop__class_Otop @
% 34.62/6.92 (tc_fun @ tc_Arrow__Order__Mirabelle_Oindi @ tc_bool)) @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oindi)))
% 34.62/6.92 | (hBOOL @
% 34.62/6.92 (hAPP @ (hAPP @ (c_lessequals @ tc_nat) @ (hAPP @ v_n @ X0)) @ X0))
% 34.62/6.92 | ~ (hBOOL @
% 34.62/6.92 (hAPP @
% 34.62/6.92 (hAPP @
% 34.62/6.92 (c_in @
% 34.62/6.92 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oalt)) @
% 34.62/6.92 (c_Pair @ v_a____ @ v_b____ @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oalt @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oalt)) @
% 34.62/6.92 (hAPP @ v_F @
% 34.62/6.92 (hAPP @
% 34.62/6.92 (c_COMBC @
% 34.62/6.92 (hAPP @
% 34.62/6.92 (c_COMBC @
% 34.62/6.92 (c_COMBB @
% 34.62/6.92 (c_HOL_OIf @
% 34.62/6.92 (tc_fun @
% 34.62/6.92 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oalt) @
% 34.62/6.92 tc_bool)) @
% 34.62/6.92 (hAPP @
% 34.62/6.92 (c_COMBC @
% 34.62/6.92 (c_COMBB @ (c_HOL_Oord__class_Oless @ tc_nat) @
% 34.62/6.92 v_h____ @ tc_nat @ (tc_fun @ tc_nat @ tc_bool) @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oindi) @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oindi @ tc_nat @ tc_bool) @
% 34.62/6.92 (c_HOL_Oplus__class_Oplus @ X0 @
% 34.62/6.92 (c_HOL_Oone__class_Oone @ tc_nat) @ tc_nat)) @
% 34.62/6.92 tc_bool @
% 34.62/6.92 (tc_fun @
% 34.62/6.92 (tc_fun @
% 34.62/6.92 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oalt) @
% 34.62/6.92 tc_bool) @
% 34.62/6.92 (tc_fun @
% 34.62/6.92 (tc_fun @
% 34.62/6.92 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oalt) @
% 34.62/6.92 tc_bool) @
% 34.62/6.92 (tc_fun @
% 34.62/6.92 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oalt) @
% 34.62/6.92 tc_bool))) @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oindi) @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oindi @
% 34.62/6.92 (tc_fun @
% 34.62/6.92 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oalt) @
% 34.62/6.92 tc_bool) @
% 34.62/6.92 (tc_fun @
% 34.62/6.92 (tc_fun @
% 34.62/6.92 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oalt) @
% 34.62/6.92 tc_bool) @
% 34.62/6.92 (tc_fun @
% 34.62/6.92 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oalt) @
% 34.62/6.92 tc_bool))) @
% 34.62/6.92 v_Lab____) @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oindi @
% 34.62/6.92 (tc_fun @
% 34.62/6.92 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oalt) @
% 34.62/6.92 tc_bool) @
% 34.62/6.92 (tc_fun @
% 34.62/6.92 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oalt) @
% 34.62/6.92 tc_bool)) @
% 34.62/6.92 v_Lba____))))
% 34.62/6.92 | (v_thesis____))),
% 34.62/6.92 inference('cnf', [status(esa)], [zf_stmt_2])).
% 34.62/6.92 thf(zip_derived_cl522, plain, (~ (v_thesis____)),
% 34.62/6.92 inference('cnf', [status(esa)], [zf_stmt_1])).
% 34.62/6.92 thf(zip_derived_cl1114, plain,
% 34.62/6.92 (![X0 : $i]:
% 34.62/6.92 (~ (hBOOL @
% 34.62/6.92 (hAPP @
% 34.62/6.92 (hAPP @
% 34.62/6.92 (c_in @
% 34.62/6.92 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oalt)) @
% 34.62/6.92 (c_Pair @ v_a____ @ v_b____ @ tc_Arrow__Order__Mirabelle_Oalt @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oalt)) @
% 34.62/6.92 (hAPP @ v_F @
% 34.62/6.92 (hAPP @
% 34.62/6.92 (c_COMBC @
% 34.62/6.92 (hAPP @
% 34.62/6.92 (c_COMBC @
% 34.62/6.92 (c_COMBB @
% 34.62/6.92 (c_HOL_OIf @
% 34.62/6.92 (tc_fun @
% 34.62/6.92 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oalt) @
% 34.62/6.92 tc_bool)) @
% 34.62/6.92 (hAPP @
% 34.62/6.92 (c_COMBC @
% 34.62/6.92 (c_COMBB @ (c_HOL_Oord__class_Oless @ tc_nat) @
% 34.62/6.92 v_h____ @ tc_nat @ (tc_fun @ tc_nat @ tc_bool) @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oindi) @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oindi @ tc_nat @ tc_bool) @
% 34.62/6.92 (c_HOL_Oplus__class_Oplus @ X0 @
% 34.62/6.92 (c_HOL_Oone__class_Oone @ tc_nat) @ tc_nat)) @
% 34.62/6.92 tc_bool @
% 34.62/6.92 (tc_fun @
% 34.62/6.92 (tc_fun @
% 34.62/6.92 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oalt) @
% 34.62/6.92 tc_bool) @
% 34.62/6.92 (tc_fun @
% 34.62/6.92 (tc_fun @
% 34.62/6.92 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oalt) @
% 34.62/6.92 tc_bool) @
% 34.62/6.92 (tc_fun @
% 34.62/6.92 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oalt) @
% 34.62/6.92 tc_bool))) @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oindi) @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oindi @
% 34.62/6.92 (tc_fun @
% 34.62/6.92 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oalt) @
% 34.62/6.92 tc_bool) @
% 34.62/6.92 (tc_fun @
% 34.62/6.92 (tc_fun @
% 34.62/6.92 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oalt) @
% 34.62/6.92 tc_bool) @
% 34.62/6.92 (tc_fun @
% 34.62/6.92 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oalt) @
% 34.62/6.92 tc_bool))) @
% 34.62/6.92 v_Lab____) @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oindi @
% 34.62/6.92 (tc_fun @
% 34.62/6.92 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oalt) @
% 34.62/6.92 tc_bool) @
% 34.62/6.92 (tc_fun @
% 34.62/6.92 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oalt) @
% 34.62/6.92 tc_bool)) @
% 34.62/6.92 v_Lba____))))
% 34.62/6.92 | (hBOOL @
% 34.62/6.92 (hAPP @ (hAPP @ (c_lessequals @ tc_nat) @ (hAPP @ v_n @ X0)) @ X0))
% 34.62/6.92 | ~ (hBOOL @
% 34.62/6.92 (hAPP @ (hAPP @ (c_HOL_Oord__class_Oless @ tc_nat) @ X0) @
% 34.62/6.92 (c_Finite__Set_Ocard @
% 34.62/6.92 (c_Orderings_Otop__class_Otop @
% 34.62/6.92 (tc_fun @ tc_Arrow__Order__Mirabelle_Oindi @ tc_bool)) @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oindi))))),
% 34.62/6.92 inference('dp-resolution', [status(thm)],
% 34.62/6.92 [zip_derived_cl523, zip_derived_cl522])).
% 34.62/6.92 thf(zip_derived_cl215, plain,
% 34.62/6.92 (![X0 : $i]:
% 34.62/6.92 ((c_Suc @ X0)
% 34.62/6.92 = (c_HOL_Oplus__class_Oplus @ X0 @
% 34.62/6.92 (c_HOL_Oone__class_Oone @ tc_nat) @ tc_nat))),
% 34.62/6.92 inference('cnf', [status(esa)], [cls_Suc__eq__plus1_0])).
% 34.62/6.92 thf(zip_derived_cl6376, plain,
% 34.62/6.92 (![X0 : $i]:
% 34.62/6.92 (~ (hBOOL @
% 34.62/6.92 (hAPP @
% 34.62/6.92 (hAPP @
% 34.62/6.92 (c_in @
% 34.62/6.92 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oalt)) @
% 34.62/6.92 (c_Pair @ v_a____ @ v_b____ @ tc_Arrow__Order__Mirabelle_Oalt @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oalt)) @
% 34.62/6.92 (hAPP @ v_F @
% 34.62/6.92 (hAPP @
% 34.62/6.92 (c_COMBC @
% 34.62/6.92 (hAPP @
% 34.62/6.92 (c_COMBC @
% 34.62/6.92 (c_COMBB @
% 34.62/6.92 (c_HOL_OIf @
% 34.62/6.92 (tc_fun @
% 34.62/6.92 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oalt) @
% 34.62/6.92 tc_bool)) @
% 34.62/6.92 (hAPP @
% 34.62/6.92 (c_COMBC @
% 34.62/6.92 (c_COMBB @ (c_HOL_Oord__class_Oless @ tc_nat) @
% 34.62/6.92 v_h____ @ tc_nat @ (tc_fun @ tc_nat @ tc_bool) @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oindi) @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oindi @ tc_nat @ tc_bool) @
% 34.62/6.92 (c_Suc @ X0)) @
% 34.62/6.92 tc_bool @
% 34.62/6.92 (tc_fun @
% 34.62/6.92 (tc_fun @
% 34.62/6.92 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oalt) @
% 34.62/6.92 tc_bool) @
% 34.62/6.92 (tc_fun @
% 34.62/6.92 (tc_fun @
% 34.62/6.92 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oalt) @
% 34.62/6.92 tc_bool) @
% 34.62/6.92 (tc_fun @
% 34.62/6.92 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oalt) @
% 34.62/6.92 tc_bool))) @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oindi) @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oindi @
% 34.62/6.92 (tc_fun @
% 34.62/6.92 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oalt) @
% 34.62/6.92 tc_bool) @
% 34.62/6.92 (tc_fun @
% 34.62/6.92 (tc_fun @
% 34.62/6.92 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oalt) @
% 34.62/6.92 tc_bool) @
% 34.62/6.92 (tc_fun @
% 34.62/6.92 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oalt) @
% 34.62/6.92 tc_bool))) @
% 34.62/6.92 v_Lab____) @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oindi @
% 34.62/6.92 (tc_fun @
% 34.62/6.92 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oalt) @
% 34.62/6.92 tc_bool) @
% 34.62/6.92 (tc_fun @
% 34.62/6.92 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oalt) @
% 34.62/6.92 tc_bool)) @
% 34.62/6.92 v_Lba____))))
% 34.62/6.92 | (hBOOL @
% 34.62/6.92 (hAPP @ (hAPP @ (c_lessequals @ tc_nat) @ (hAPP @ v_n @ X0)) @ X0))
% 34.62/6.92 | ~ (hBOOL @
% 34.62/6.92 (hAPP @ (hAPP @ (c_HOL_Oord__class_Oless @ tc_nat) @ X0) @
% 34.62/6.92 (c_Finite__Set_Ocard @
% 34.62/6.92 (c_Orderings_Otop__class_Otop @
% 34.62/6.92 (tc_fun @ tc_Arrow__Order__Mirabelle_Oindi @ tc_bool)) @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oindi))))),
% 34.62/6.92 inference('demod', [status(thm)], [zip_derived_cl1114, zip_derived_cl215])).
% 34.62/6.92 thf(zip_derived_cl6380, plain,
% 34.62/6.92 ((~ (hBOOL @
% 34.62/6.92 (hAPP @
% 34.62/6.92 (hAPP @
% 34.62/6.92 (c_in @
% 34.62/6.92 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oalt)) @
% 34.62/6.92 (c_Pair @ v_a____ @ v_b____ @ tc_Arrow__Order__Mirabelle_Oalt @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oalt)) @
% 34.62/6.92 (hAPP @ v_F @
% 34.62/6.92 (hAPP @
% 34.62/6.92 (c_COMBC @
% 34.62/6.92 (hAPP @
% 34.62/6.92 (c_COMBC @
% 34.62/6.92 (c_COMBB @
% 34.62/6.92 (c_HOL_OIf @
% 34.62/6.92 (tc_fun @
% 34.62/6.92 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oalt) @
% 34.62/6.92 tc_bool)) @
% 34.62/6.92 (hAPP @
% 34.62/6.92 (c_COMBC @
% 34.62/6.92 (c_COMBB @ (c_HOL_Oord__class_Oless @ tc_nat) @ v_h____ @
% 34.62/6.92 tc_nat @ (tc_fun @ tc_nat @ tc_bool) @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oindi) @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oindi @ tc_nat @ tc_bool) @
% 34.62/6.92 (c_Suc @
% 34.62/6.92 (v_sko__CHAINED__1 @ v_F @ v_Lab____ @ v_Lba____ @
% 34.62/6.92 v_a____ @ v_b____ @ v_h____))) @
% 34.62/6.92 tc_bool @
% 34.62/6.92 (tc_fun @
% 34.62/6.92 (tc_fun @
% 34.62/6.92 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oalt) @
% 34.62/6.92 tc_bool) @
% 34.62/6.92 (tc_fun @
% 34.62/6.92 (tc_fun @
% 34.62/6.92 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oalt) @
% 34.62/6.92 tc_bool) @
% 34.62/6.92 (tc_fun @
% 34.62/6.92 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oalt) @
% 34.62/6.92 tc_bool))) @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oindi) @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oindi @
% 34.62/6.92 (tc_fun @
% 34.62/6.92 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oalt) @
% 34.62/6.92 tc_bool) @
% 34.62/6.92 (tc_fun @
% 34.62/6.92 (tc_fun @
% 34.62/6.92 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oalt) @
% 34.62/6.92 tc_bool) @
% 34.62/6.92 (tc_fun @
% 34.62/6.92 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oalt) @
% 34.62/6.92 tc_bool))) @
% 34.62/6.92 v_Lab____) @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oindi @
% 34.62/6.92 (tc_fun @
% 34.62/6.92 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oalt) @
% 34.62/6.92 tc_bool) @
% 34.62/6.92 (tc_fun @
% 34.62/6.92 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oalt) @
% 34.62/6.92 tc_bool)) @
% 34.62/6.92 v_Lba____))))
% 34.62/6.92 | (hBOOL @
% 34.62/6.92 (hAPP @
% 34.62/6.92 (hAPP @ (c_lessequals @ tc_nat) @
% 34.62/6.92 (hAPP @ v_n @
% 34.62/6.92 (v_sko__CHAINED__1 @ v_F @ v_Lab____ @ v_Lba____ @ v_a____ @
% 34.62/6.92 v_b____ @ v_h____))) @
% 34.62/6.92 (v_sko__CHAINED__1 @ v_F @ v_Lab____ @ v_Lba____ @ v_a____ @
% 34.62/6.92 v_b____ @ v_h____))))),
% 34.62/6.92 inference('s_sup-', [status(thm)],
% 34.62/6.92 [zip_derived_cl521, zip_derived_cl6376])).
% 34.62/6.92 thf(zip_derived_cl3041, plain,
% 34.62/6.92 ( (hBOOL @
% 34.62/6.92 (hAPP @
% 34.62/6.92 (hAPP @
% 34.62/6.92 (c_in @
% 34.62/6.92 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oalt)) @
% 34.62/6.92 (c_Pair @ v_a____ @ v_b____ @ tc_Arrow__Order__Mirabelle_Oalt @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oalt)) @
% 34.62/6.92 (hAPP @ v_F @
% 34.62/6.92 (hAPP @
% 34.62/6.92 (c_COMBC @
% 34.62/6.92 (hAPP @
% 34.62/6.92 (c_COMBC @
% 34.62/6.92 (c_COMBB @
% 34.62/6.92 (c_HOL_OIf @
% 34.62/6.92 (tc_fun @
% 34.62/6.92 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oalt) @
% 34.62/6.92 tc_bool)) @
% 34.62/6.92 (hAPP @
% 34.62/6.92 (c_COMBC @
% 34.62/6.92 (c_COMBB @ (c_HOL_Oord__class_Oless @ tc_nat) @ v_h____ @
% 34.62/6.92 tc_nat @ (tc_fun @ tc_nat @ tc_bool) @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oindi) @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oindi @ tc_nat @ tc_bool) @
% 34.62/6.92 (c_Suc @
% 34.62/6.92 (v_sko__CHAINED__1 @ v_F @ v_Lab____ @ v_Lba____ @ v_a____ @
% 34.62/6.92 v_b____ @ v_h____))) @
% 34.62/6.92 tc_bool @
% 34.62/6.92 (tc_fun @
% 34.62/6.92 (tc_fun @
% 34.62/6.92 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oalt) @
% 34.62/6.92 tc_bool) @
% 34.62/6.92 (tc_fun @
% 34.62/6.92 (tc_fun @
% 34.62/6.92 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oalt) @
% 34.62/6.92 tc_bool) @
% 34.62/6.92 (tc_fun @
% 34.62/6.92 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oalt) @
% 34.62/6.92 tc_bool))) @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oindi) @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oindi @
% 34.62/6.92 (tc_fun @
% 34.62/6.92 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oalt) @
% 34.62/6.92 tc_bool) @
% 34.62/6.92 (tc_fun @
% 34.62/6.92 (tc_fun @
% 34.62/6.92 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oalt) @
% 34.62/6.92 tc_bool) @
% 34.62/6.92 (tc_fun @
% 34.62/6.92 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oalt) @
% 34.62/6.92 tc_bool))) @
% 34.62/6.92 v_Lab____) @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oindi @
% 34.62/6.92 (tc_fun @
% 34.62/6.92 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oalt) @
% 34.62/6.92 tc_bool) @
% 34.62/6.92 (tc_fun @
% 34.62/6.92 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 34.62/6.92 tc_Arrow__Order__Mirabelle_Oalt) @
% 34.62/6.92 tc_bool)) @
% 34.62/6.92 v_Lba____))))),
% 34.62/6.92 inference('demod', [status(thm)], [zip_derived_cl519, zip_derived_cl215])).
% 34.62/6.92 thf(zip_derived_cl6382, plain,
% 34.62/6.92 ( (hBOOL @
% 34.62/6.92 (hAPP @
% 34.62/6.92 (hAPP @ (c_lessequals @ tc_nat) @
% 34.62/6.92 (hAPP @ v_n @
% 34.62/6.92 (v_sko__CHAINED__1 @ v_F @ v_Lab____ @ v_Lba____ @ v_a____ @
% 34.62/6.92 v_b____ @ v_h____))) @
% 34.62/6.92 (v_sko__CHAINED__1 @ v_F @ v_Lab____ @ v_Lba____ @ v_a____ @
% 34.62/6.92 v_b____ @ v_h____)))),
% 34.62/6.92 inference('demod', [status(thm)],
% 34.62/6.92 [zip_derived_cl6380, zip_derived_cl3041])).
% 34.62/6.92 thf(zip_derived_cl9848, plain, ($false),
% 34.62/6.92 inference('demod', [status(thm)],
% 34.62/6.92 [zip_derived_cl9847, zip_derived_cl6382])).
% 34.62/6.92
% 34.62/6.92 % SZS output end Refutation
% 34.62/6.92
% 34.62/6.92
% 34.62/6.92 % Terminating...
% 34.92/6.99 % Runner terminated.
% 34.92/7.01 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------