TSTP Solution File: SCT086-1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SCT086-1 : TPTP v8.1.2. Released v4.1.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.ZL2VIsNBcR true
% Computer : n021.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 Aug 31 14:27:10 EDT 2023
% Result : Unsatisfiable 19.96s 3.55s
% Output : Refutation 19.96s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SCT086-1 : TPTP v8.1.2. Released v4.1.0.
% 0.00/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.ZL2VIsNBcR true
% 0.14/0.34 % Computer : n021.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Thu Aug 24 15:01:25 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % Running portfolio for 300 s
% 0.14/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.35 % Number of cores: 8
% 0.14/0.35 % Python version: Python 3.6.8
% 0.14/0.35 % Running in FO mode
% 0.21/0.68 % Total configuration time : 435
% 0.21/0.68 % Estimated wc time : 1092
% 0.21/0.68 % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.74 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.56/0.76 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.56/0.78 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.56/0.78 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.56/0.78 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.56/0.78 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.56/0.78 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 19.96/3.55 % Solved by fo/fo6_bce.sh.
% 19.96/3.55 % BCE start: 560
% 19.96/3.55 % BCE eliminated: 156
% 19.96/3.55 % PE start: 404
% 19.96/3.55 logic: eq
% 19.96/3.55 % PE eliminated: 18
% 19.96/3.55 % done 1371 iterations in 2.781s
% 19.96/3.55 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 19.96/3.55 % SZS output start Refutation
% 19.96/3.55 thf(c_HOL_Oord__class_Oless_type, type, c_HOL_Oord__class_Oless: $i > $i).
% 19.96/3.55 thf(v_sko__CHAINED__1_type, type, v_sko__CHAINED__1: $i > $i > $i > $i >
% 19.96/3.55 $i > $i > $i).
% 19.96/3.55 thf(v_h_____type, type, v_h____: $i).
% 19.96/3.55 thf(hAPP_type, type, hAPP: $i > $i > $i).
% 19.96/3.55 thf(c_COMBB_type, type, c_COMBB: $i > $i > $i > $i > $i > $i).
% 19.96/3.55 thf(v_thesis_____type, type, v_thesis____: $o).
% 19.96/3.55 thf(tc_bool_type, type, tc_bool: $i).
% 19.96/3.55 thf(v_F_type, type, v_F: $i).
% 19.96/3.55 thf(v_Lab_____type, type, v_Lab____: $i).
% 19.96/3.55 thf(hBOOL_type, type, hBOOL: $i > $o).
% 19.96/3.55 thf(v_b_____type, type, v_b____: $i).
% 19.96/3.55 thf(c_COMBC_type, type, c_COMBC: $i > $i > $i > $i > $i).
% 19.96/3.55 thf(tc_Arrow__Order__Mirabelle_Oindi_type, type, tc_Arrow__Order__Mirabelle_Oindi:
% 19.96/3.55 $i).
% 19.96/3.55 thf(c_Finite__Set_Ocard_type, type, c_Finite__Set_Ocard: $i > $i > $i).
% 19.96/3.55 thf(c_in_type, type, c_in: $i > $i).
% 19.96/3.55 thf(tc_fun_type, type, tc_fun: $i > $i > $i).
% 19.96/3.55 thf(c_HOL_Oone__class_Oone_type, type, c_HOL_Oone__class_Oone: $i > $i).
% 19.96/3.55 thf(tc_nat_type, type, tc_nat: $i).
% 19.96/3.55 thf(c_HOL_OIf_type, type, c_HOL_OIf: $i > $i).
% 19.96/3.55 thf(v_Lba_____type, type, v_Lba____: $i).
% 19.96/3.55 thf(v_n_type, type, v_n: $i).
% 19.96/3.55 thf(v_a_____type, type, v_a____: $i).
% 19.96/3.55 thf(c_HOL_Oplus__class_Oplus_type, type, c_HOL_Oplus__class_Oplus: $i > $i >
% 19.96/3.55 $i > $i).
% 19.96/3.55 thf(tc_prod_type, type, tc_prod: $i > $i > $i).
% 19.96/3.55 thf(c_lessequals_type, type, c_lessequals: $i > $i).
% 19.96/3.55 thf(c_Orderings_Otop__class_Otop_type, type, c_Orderings_Otop__class_Otop:
% 19.96/3.55 $i > $i).
% 19.96/3.55 thf(c_Suc_type, type, c_Suc: $i > $i).
% 19.96/3.55 thf(tc_Arrow__Order__Mirabelle_Oalt_type, type, tc_Arrow__Order__Mirabelle_Oalt:
% 19.96/3.55 $i).
% 19.96/3.55 thf(c_Pair_type, type, c_Pair: $i > $i > $i > $i > $i).
% 19.96/3.55 thf(cls_CHAINED_1, axiom,
% 19.96/3.55 (( hBOOL @
% 19.96/3.55 ( hAPP @
% 19.96/3.55 ( hAPP @
% 19.96/3.55 ( c_in @
% 19.96/3.55 ( tc_prod @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oalt @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oalt ) ) @
% 19.96/3.55 ( c_Pair @
% 19.96/3.55 v_b____ @ v_a____ @ tc_Arrow__Order__Mirabelle_Oalt @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oalt ) ) @
% 19.96/3.55 ( hAPP @
% 19.96/3.55 v_F @
% 19.96/3.55 ( hAPP @
% 19.96/3.55 ( c_COMBC @
% 19.96/3.55 ( hAPP @
% 19.96/3.55 ( c_COMBC @
% 19.96/3.55 ( c_COMBB @
% 19.96/3.55 ( c_HOL_OIf @
% 19.96/3.55 ( tc_fun @
% 19.96/3.55 ( tc_prod @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oalt @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oalt ) @
% 19.96/3.55 tc_bool ) ) @
% 19.96/3.55 ( hAPP @
% 19.96/3.55 ( c_COMBC @
% 19.96/3.55 ( c_COMBB @
% 19.96/3.55 ( c_HOL_Oord__class_Oless @ tc_nat ) @ v_h____ @
% 19.96/3.55 tc_nat @ ( tc_fun @ tc_nat @ tc_bool ) @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oindi ) @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oindi @ tc_nat @ tc_bool ) @
% 19.96/3.55 V_m ) @
% 19.96/3.55 tc_bool @
% 19.96/3.55 ( tc_fun @
% 19.96/3.55 ( tc_fun @
% 19.96/3.55 ( tc_prod @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oalt @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oalt ) @
% 19.96/3.55 tc_bool ) @
% 19.96/3.55 ( tc_fun @
% 19.96/3.55 ( tc_fun @
% 19.96/3.55 ( tc_prod @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oalt @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oalt ) @
% 19.96/3.55 tc_bool ) @
% 19.96/3.55 ( tc_fun @
% 19.96/3.55 ( tc_prod @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oalt @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oalt ) @
% 19.96/3.55 tc_bool ) ) ) @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oindi ) @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oindi @
% 19.96/3.55 ( tc_fun @
% 19.96/3.55 ( tc_prod @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oalt @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oalt ) @
% 19.96/3.55 tc_bool ) @
% 19.96/3.55 ( tc_fun @
% 19.96/3.55 ( tc_fun @
% 19.96/3.55 ( tc_prod @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oalt @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oalt ) @
% 19.96/3.55 tc_bool ) @
% 19.96/3.55 ( tc_fun @
% 19.96/3.55 ( tc_prod @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oalt @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oalt ) @
% 19.96/3.55 tc_bool ) ) ) @
% 19.96/3.55 v_Lab____ ) @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oindi @
% 19.96/3.55 ( tc_fun @
% 19.96/3.55 ( tc_prod @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oalt @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oalt ) @
% 19.96/3.55 tc_bool ) @
% 19.96/3.55 ( tc_fun @
% 19.96/3.55 ( tc_prod @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oalt @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oalt ) @
% 19.96/3.55 tc_bool ) ) @
% 19.96/3.55 v_Lba____ ) ) ) ) |
% 19.96/3.55 ( ~( hBOOL @
% 19.96/3.55 ( hAPP @
% 19.96/3.55 ( hAPP @ ( c_lessequals @ tc_nat ) @ V_m ) @
% 19.96/3.55 ( v_sko__CHAINED__1 @
% 19.96/3.55 v_F @ v_Lab____ @ v_Lba____ @ v_a____ @ v_b____ @ v_h____ ) ) ) ))).
% 19.96/3.55 thf(zip_derived_cl520, plain,
% 19.96/3.55 (![X0 : $i]:
% 19.96/3.55 ( (hBOOL @
% 19.96/3.55 (hAPP @
% 19.96/3.55 (hAPP @
% 19.96/3.55 (c_in @
% 19.96/3.55 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oalt)) @
% 19.96/3.55 (c_Pair @ v_b____ @ v_a____ @ tc_Arrow__Order__Mirabelle_Oalt @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oalt)) @
% 19.96/3.55 (hAPP @ v_F @
% 19.96/3.55 (hAPP @
% 19.96/3.55 (c_COMBC @
% 19.96/3.55 (hAPP @
% 19.96/3.55 (c_COMBC @
% 19.96/3.55 (c_COMBB @
% 19.96/3.55 (c_HOL_OIf @
% 19.96/3.55 (tc_fun @
% 19.96/3.55 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oalt) @
% 19.96/3.55 tc_bool)) @
% 19.96/3.55 (hAPP @
% 19.96/3.55 (c_COMBC @
% 19.96/3.55 (c_COMBB @ (c_HOL_Oord__class_Oless @ tc_nat) @ v_h____ @
% 19.96/3.55 tc_nat @ (tc_fun @ tc_nat @ tc_bool) @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oindi) @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oindi @ tc_nat @ tc_bool) @
% 19.96/3.55 X0) @
% 19.96/3.55 tc_bool @
% 19.96/3.55 (tc_fun @
% 19.96/3.55 (tc_fun @
% 19.96/3.55 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oalt) @
% 19.96/3.55 tc_bool) @
% 19.96/3.55 (tc_fun @
% 19.96/3.55 (tc_fun @
% 19.96/3.55 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oalt) @
% 19.96/3.55 tc_bool) @
% 19.96/3.55 (tc_fun @
% 19.96/3.55 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oalt) @
% 19.96/3.55 tc_bool))) @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oindi) @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oindi @
% 19.96/3.55 (tc_fun @
% 19.96/3.55 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oalt) @
% 19.96/3.55 tc_bool) @
% 19.96/3.55 (tc_fun @
% 19.96/3.55 (tc_fun @
% 19.96/3.55 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oalt) @
% 19.96/3.55 tc_bool) @
% 19.96/3.55 (tc_fun @
% 19.96/3.55 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oalt) @
% 19.96/3.55 tc_bool))) @
% 19.96/3.55 v_Lab____) @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oindi @
% 19.96/3.55 (tc_fun @
% 19.96/3.55 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oalt) @
% 19.96/3.55 tc_bool) @
% 19.96/3.55 (tc_fun @
% 19.96/3.55 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oalt) @
% 19.96/3.55 tc_bool)) @
% 19.96/3.55 v_Lba____))))
% 19.96/3.55 | ~ (hBOOL @
% 19.96/3.55 (hAPP @ (hAPP @ (c_lessequals @ tc_nat) @ X0) @
% 19.96/3.55 (v_sko__CHAINED__1 @ v_F @ v_Lab____ @ v_Lba____ @ v_a____ @
% 19.96/3.55 v_b____ @ v_h____))))),
% 19.96/3.55 inference('cnf', [status(esa)], [cls_CHAINED_1])).
% 19.96/3.55 thf(cls_CHAINED_0, axiom,
% 19.96/3.55 (hBOOL @
% 19.96/3.55 ( hAPP @
% 19.96/3.55 ( hAPP @
% 19.96/3.55 ( c_HOL_Oord__class_Oless @ tc_nat ) @
% 19.96/3.55 ( v_sko__CHAINED__1 @
% 19.96/3.55 v_F @ v_Lab____ @ v_Lba____ @ v_a____ @ v_b____ @ v_h____ ) ) @
% 19.96/3.55 ( c_Finite__Set_Ocard @
% 19.96/3.55 ( c_Orderings_Otop__class_Otop @
% 19.96/3.55 ( tc_fun @ tc_Arrow__Order__Mirabelle_Oindi @ tc_bool ) ) @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oindi ) ))).
% 19.96/3.55 thf(zip_derived_cl521, plain,
% 19.96/3.55 ( (hBOOL @
% 19.96/3.55 (hAPP @
% 19.96/3.55 (hAPP @ (c_HOL_Oord__class_Oless @ tc_nat) @
% 19.96/3.55 (v_sko__CHAINED__1 @ v_F @ v_Lab____ @ v_Lba____ @ v_a____ @
% 19.96/3.55 v_b____ @ v_h____)) @
% 19.96/3.55 (c_Finite__Set_Ocard @
% 19.96/3.55 (c_Orderings_Otop__class_Otop @
% 19.96/3.55 (tc_fun @ tc_Arrow__Order__Mirabelle_Oindi @ tc_bool)) @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oindi)))),
% 19.96/3.55 inference('cnf', [status(esa)], [cls_CHAINED_0])).
% 19.96/3.55 thf(cls_conjecture_2, conjecture,
% 19.96/3.55 (~( ( ~( hBOOL @
% 19.96/3.55 ( hAPP @
% 19.96/3.55 ( hAPP @ ( c_HOL_Oord__class_Oless @ tc_nat ) @ V_na ) @
% 19.96/3.55 ( c_Finite__Set_Ocard @
% 19.96/3.55 ( c_Orderings_Otop__class_Otop @
% 19.96/3.55 ( tc_fun @ tc_Arrow__Order__Mirabelle_Oindi @ tc_bool ) ) @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oindi ) ) ) ) |
% 19.96/3.55 ( ~( hBOOL @
% 19.96/3.55 ( hAPP @
% 19.96/3.55 ( hAPP @
% 19.96/3.55 ( c_in @
% 19.96/3.55 ( tc_prod @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oalt @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oalt ) ) @
% 19.96/3.55 ( c_Pair @
% 19.96/3.55 v_b____ @ v_a____ @ tc_Arrow__Order__Mirabelle_Oalt @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oalt ) ) @
% 19.96/3.55 ( hAPP @
% 19.96/3.55 v_F @
% 19.96/3.55 ( hAPP @
% 19.96/3.55 ( c_COMBC @
% 19.96/3.55 ( hAPP @
% 19.96/3.55 ( c_COMBC @
% 19.96/3.55 ( c_COMBB @
% 19.96/3.55 ( c_HOL_OIf @
% 19.96/3.55 ( tc_fun @
% 19.96/3.55 ( tc_prod @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oalt @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oalt ) @
% 19.96/3.55 tc_bool ) ) @
% 19.96/3.55 ( hAPP @
% 19.96/3.55 ( c_COMBC @
% 19.96/3.55 ( c_COMBB @
% 19.96/3.55 ( c_HOL_Oord__class_Oless @ tc_nat ) @
% 19.96/3.55 v_h____ @ tc_nat @
% 19.96/3.55 ( tc_fun @ tc_nat @ tc_bool ) @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oindi ) @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oindi @ tc_nat @
% 19.96/3.55 tc_bool ) @
% 19.96/3.55 ( hAPP @ v_n @ V_na ) ) @
% 19.96/3.55 tc_bool @
% 19.96/3.55 ( tc_fun @
% 19.96/3.55 ( tc_fun @
% 19.96/3.55 ( tc_prod @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oalt @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oalt ) @
% 19.96/3.55 tc_bool ) @
% 19.96/3.55 ( tc_fun @
% 19.96/3.55 ( tc_fun @
% 19.96/3.55 ( tc_prod @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oalt @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oalt ) @
% 19.96/3.55 tc_bool ) @
% 19.96/3.55 ( tc_fun @
% 19.96/3.55 ( tc_prod @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oalt @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oalt ) @
% 19.96/3.55 tc_bool ) ) ) @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oindi ) @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oindi @
% 19.96/3.55 ( tc_fun @
% 19.96/3.55 ( tc_prod @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oalt @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oalt ) @
% 19.96/3.55 tc_bool ) @
% 19.96/3.55 ( tc_fun @
% 19.96/3.55 ( tc_fun @
% 19.96/3.55 ( tc_prod @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oalt @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oalt ) @
% 19.96/3.55 tc_bool ) @
% 19.96/3.55 ( tc_fun @
% 19.96/3.55 ( tc_prod @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oalt @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oalt ) @
% 19.96/3.55 tc_bool ) ) ) @
% 19.96/3.55 v_Lab____ ) @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oindi @
% 19.96/3.55 ( tc_fun @
% 19.96/3.55 ( tc_prod @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oalt @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oalt ) @
% 19.96/3.55 tc_bool ) @
% 19.96/3.55 ( tc_fun @
% 19.96/3.55 ( tc_prod @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oalt @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oalt ) @
% 19.96/3.55 tc_bool ) ) @
% 19.96/3.55 v_Lba____ ) ) ) ) ) |
% 19.96/3.55 ( ~( hBOOL @
% 19.96/3.55 ( hAPP @
% 19.96/3.55 ( hAPP @
% 19.96/3.55 ( c_in @
% 19.96/3.55 ( tc_prod @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oalt @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oalt ) ) @
% 19.96/3.55 ( c_Pair @
% 19.96/3.55 v_a____ @ v_b____ @ tc_Arrow__Order__Mirabelle_Oalt @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oalt ) ) @
% 19.96/3.55 ( hAPP @
% 19.96/3.55 v_F @
% 19.96/3.55 ( hAPP @
% 19.96/3.55 ( c_COMBC @
% 19.96/3.55 ( hAPP @
% 19.96/3.55 ( c_COMBC @
% 19.96/3.55 ( c_COMBB @
% 19.96/3.55 ( c_HOL_OIf @
% 19.96/3.55 ( tc_fun @
% 19.96/3.55 ( tc_prod @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oalt @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oalt ) @
% 19.96/3.55 tc_bool ) ) @
% 19.96/3.55 ( hAPP @
% 19.96/3.55 ( c_COMBC @
% 19.96/3.55 ( c_COMBB @
% 19.96/3.55 ( c_HOL_Oord__class_Oless @ tc_nat ) @
% 19.96/3.55 v_h____ @ tc_nat @
% 19.96/3.55 ( tc_fun @ tc_nat @ tc_bool ) @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oindi ) @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oindi @ tc_nat @
% 19.96/3.55 tc_bool ) @
% 19.96/3.55 ( c_HOL_Oplus__class_Oplus @
% 19.96/3.55 V_na @ ( c_HOL_Oone__class_Oone @ tc_nat ) @
% 19.96/3.55 tc_nat ) ) @
% 19.96/3.55 tc_bool @
% 19.96/3.55 ( tc_fun @
% 19.96/3.55 ( tc_fun @
% 19.96/3.55 ( tc_prod @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oalt @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oalt ) @
% 19.96/3.55 tc_bool ) @
% 19.96/3.55 ( tc_fun @
% 19.96/3.55 ( tc_fun @
% 19.96/3.55 ( tc_prod @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oalt @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oalt ) @
% 19.96/3.55 tc_bool ) @
% 19.96/3.55 ( tc_fun @
% 19.96/3.55 ( tc_prod @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oalt @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oalt ) @
% 19.96/3.55 tc_bool ) ) ) @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oindi ) @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oindi @
% 19.96/3.55 ( tc_fun @
% 19.96/3.55 ( tc_prod @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oalt @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oalt ) @
% 19.96/3.55 tc_bool ) @
% 19.96/3.55 ( tc_fun @
% 19.96/3.55 ( tc_fun @
% 19.96/3.55 ( tc_prod @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oalt @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oalt ) @
% 19.96/3.55 tc_bool ) @
% 19.96/3.55 ( tc_fun @
% 19.96/3.55 ( tc_prod @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oalt @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oalt ) @
% 19.96/3.55 tc_bool ) ) ) @
% 19.96/3.55 v_Lab____ ) @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oindi @
% 19.96/3.55 ( tc_fun @
% 19.96/3.55 ( tc_prod @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oalt @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oalt ) @
% 19.96/3.55 tc_bool ) @
% 19.96/3.55 ( tc_fun @
% 19.96/3.55 ( tc_prod @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oalt @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oalt ) @
% 19.96/3.55 tc_bool ) ) @
% 19.96/3.55 v_Lba____ ) ) ) ) ) |
% 19.96/3.55 ( v_thesis____ ) ))).
% 19.96/3.55 thf(zf_stmt_0, negated_conjecture,
% 19.96/3.55 (( ~( hBOOL @
% 19.96/3.55 ( hAPP @
% 19.96/3.55 ( hAPP @ ( c_HOL_Oord__class_Oless @ tc_nat ) @ V_na ) @
% 19.96/3.55 ( c_Finite__Set_Ocard @
% 19.96/3.55 ( c_Orderings_Otop__class_Otop @
% 19.96/3.55 ( tc_fun @ tc_Arrow__Order__Mirabelle_Oindi @ tc_bool ) ) @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oindi ) ) ) ) |
% 19.96/3.55 ( ~( hBOOL @
% 19.96/3.55 ( hAPP @
% 19.96/3.55 ( hAPP @
% 19.96/3.55 ( c_in @
% 19.96/3.55 ( tc_prod @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oalt @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oalt ) ) @
% 19.96/3.55 ( c_Pair @
% 19.96/3.55 v_b____ @ v_a____ @ tc_Arrow__Order__Mirabelle_Oalt @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oalt ) ) @
% 19.96/3.55 ( hAPP @
% 19.96/3.55 v_F @
% 19.96/3.55 ( hAPP @
% 19.96/3.55 ( c_COMBC @
% 19.96/3.55 ( hAPP @
% 19.96/3.55 ( c_COMBC @
% 19.96/3.55 ( c_COMBB @
% 19.96/3.55 ( c_HOL_OIf @
% 19.96/3.55 ( tc_fun @
% 19.96/3.55 ( tc_prod @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oalt @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oalt ) @
% 19.96/3.55 tc_bool ) ) @
% 19.96/3.55 ( hAPP @
% 19.96/3.55 ( c_COMBC @
% 19.96/3.55 ( c_COMBB @
% 19.96/3.55 ( c_HOL_Oord__class_Oless @ tc_nat ) @ v_h____ @
% 19.96/3.55 tc_nat @ ( tc_fun @ tc_nat @ tc_bool ) @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oindi ) @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oindi @ tc_nat @ tc_bool ) @
% 19.96/3.55 ( hAPP @ v_n @ V_na ) ) @
% 19.96/3.55 tc_bool @
% 19.96/3.55 ( tc_fun @
% 19.96/3.55 ( tc_fun @
% 19.96/3.55 ( tc_prod @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oalt @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oalt ) @
% 19.96/3.55 tc_bool ) @
% 19.96/3.55 ( tc_fun @
% 19.96/3.55 ( tc_fun @
% 19.96/3.55 ( tc_prod @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oalt @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oalt ) @
% 19.96/3.55 tc_bool ) @
% 19.96/3.55 ( tc_fun @
% 19.96/3.55 ( tc_prod @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oalt @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oalt ) @
% 19.96/3.55 tc_bool ) ) ) @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oindi ) @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oindi @
% 19.96/3.55 ( tc_fun @
% 19.96/3.55 ( tc_prod @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oalt @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oalt ) @
% 19.96/3.55 tc_bool ) @
% 19.96/3.55 ( tc_fun @
% 19.96/3.55 ( tc_fun @
% 19.96/3.55 ( tc_prod @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oalt @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oalt ) @
% 19.96/3.55 tc_bool ) @
% 19.96/3.55 ( tc_fun @
% 19.96/3.55 ( tc_prod @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oalt @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oalt ) @
% 19.96/3.55 tc_bool ) ) ) @
% 19.96/3.55 v_Lab____ ) @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oindi @
% 19.96/3.55 ( tc_fun @
% 19.96/3.55 ( tc_prod @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oalt @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oalt ) @
% 19.96/3.55 tc_bool ) @
% 19.96/3.55 ( tc_fun @
% 19.96/3.55 ( tc_prod @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oalt @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oalt ) @
% 19.96/3.55 tc_bool ) ) @
% 19.96/3.55 v_Lba____ ) ) ) ) ) |
% 19.96/3.55 ( ~( hBOOL @
% 19.96/3.55 ( hAPP @
% 19.96/3.55 ( hAPP @
% 19.96/3.55 ( c_in @
% 19.96/3.55 ( tc_prod @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oalt @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oalt ) ) @
% 19.96/3.55 ( c_Pair @
% 19.96/3.55 v_a____ @ v_b____ @ tc_Arrow__Order__Mirabelle_Oalt @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oalt ) ) @
% 19.96/3.55 ( hAPP @
% 19.96/3.55 v_F @
% 19.96/3.55 ( hAPP @
% 19.96/3.55 ( c_COMBC @
% 19.96/3.55 ( hAPP @
% 19.96/3.55 ( c_COMBC @
% 19.96/3.55 ( c_COMBB @
% 19.96/3.55 ( c_HOL_OIf @
% 19.96/3.55 ( tc_fun @
% 19.96/3.55 ( tc_prod @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oalt @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oalt ) @
% 19.96/3.55 tc_bool ) ) @
% 19.96/3.55 ( hAPP @
% 19.96/3.55 ( c_COMBC @
% 19.96/3.55 ( c_COMBB @
% 19.96/3.55 ( c_HOL_Oord__class_Oless @ tc_nat ) @ v_h____ @
% 19.96/3.55 tc_nat @ ( tc_fun @ tc_nat @ tc_bool ) @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oindi ) @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oindi @ tc_nat @ tc_bool ) @
% 19.96/3.55 ( c_HOL_Oplus__class_Oplus @
% 19.96/3.55 V_na @ ( c_HOL_Oone__class_Oone @ tc_nat ) @ tc_nat ) ) @
% 19.96/3.55 tc_bool @
% 19.96/3.55 ( tc_fun @
% 19.96/3.55 ( tc_fun @
% 19.96/3.55 ( tc_prod @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oalt @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oalt ) @
% 19.96/3.55 tc_bool ) @
% 19.96/3.55 ( tc_fun @
% 19.96/3.55 ( tc_fun @
% 19.96/3.55 ( tc_prod @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oalt @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oalt ) @
% 19.96/3.55 tc_bool ) @
% 19.96/3.55 ( tc_fun @
% 19.96/3.55 ( tc_prod @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oalt @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oalt ) @
% 19.96/3.55 tc_bool ) ) ) @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oindi ) @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oindi @
% 19.96/3.55 ( tc_fun @
% 19.96/3.55 ( tc_prod @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oalt @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oalt ) @
% 19.96/3.55 tc_bool ) @
% 19.96/3.55 ( tc_fun @
% 19.96/3.55 ( tc_fun @
% 19.96/3.55 ( tc_prod @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oalt @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oalt ) @
% 19.96/3.55 tc_bool ) @
% 19.96/3.55 ( tc_fun @
% 19.96/3.55 ( tc_prod @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oalt @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oalt ) @
% 19.96/3.55 tc_bool ) ) ) @
% 19.96/3.55 v_Lab____ ) @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oindi @
% 19.96/3.55 ( tc_fun @
% 19.96/3.55 ( tc_prod @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oalt @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oalt ) @
% 19.96/3.55 tc_bool ) @
% 19.96/3.55 ( tc_fun @
% 19.96/3.55 ( tc_prod @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oalt @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oalt ) @
% 19.96/3.55 tc_bool ) ) @
% 19.96/3.55 v_Lba____ ) ) ) ) ) |
% 19.96/3.55 ( v_thesis____ )),
% 19.96/3.55 inference('cnf.neg', [status(esa)], [cls_conjecture_2])).
% 19.96/3.55 thf(zip_derived_cl524, plain,
% 19.96/3.55 (![X0 : $i]:
% 19.96/3.55 (~ (hBOOL @
% 19.96/3.55 (hAPP @ (hAPP @ (c_HOL_Oord__class_Oless @ tc_nat) @ X0) @
% 19.96/3.55 (c_Finite__Set_Ocard @
% 19.96/3.55 (c_Orderings_Otop__class_Otop @
% 19.96/3.55 (tc_fun @ tc_Arrow__Order__Mirabelle_Oindi @ tc_bool)) @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oindi)))
% 19.96/3.55 | ~ (hBOOL @
% 19.96/3.55 (hAPP @
% 19.96/3.55 (hAPP @
% 19.96/3.55 (c_in @
% 19.96/3.55 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oalt)) @
% 19.96/3.55 (c_Pair @ v_b____ @ v_a____ @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oalt @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oalt)) @
% 19.96/3.55 (hAPP @ v_F @
% 19.96/3.55 (hAPP @
% 19.96/3.55 (c_COMBC @
% 19.96/3.55 (hAPP @
% 19.96/3.55 (c_COMBC @
% 19.96/3.55 (c_COMBB @
% 19.96/3.55 (c_HOL_OIf @
% 19.96/3.55 (tc_fun @
% 19.96/3.55 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oalt) @
% 19.96/3.55 tc_bool)) @
% 19.96/3.55 (hAPP @
% 19.96/3.55 (c_COMBC @
% 19.96/3.55 (c_COMBB @ (c_HOL_Oord__class_Oless @ tc_nat) @
% 19.96/3.55 v_h____ @ tc_nat @ (tc_fun @ tc_nat @ tc_bool) @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oindi) @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oindi @ tc_nat @ tc_bool) @
% 19.96/3.55 (hAPP @ v_n @ X0)) @
% 19.96/3.55 tc_bool @
% 19.96/3.55 (tc_fun @
% 19.96/3.55 (tc_fun @
% 19.96/3.55 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oalt) @
% 19.96/3.55 tc_bool) @
% 19.96/3.55 (tc_fun @
% 19.96/3.55 (tc_fun @
% 19.96/3.55 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oalt) @
% 19.96/3.55 tc_bool) @
% 19.96/3.55 (tc_fun @
% 19.96/3.55 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oalt) @
% 19.96/3.55 tc_bool))) @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oindi) @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oindi @
% 19.96/3.55 (tc_fun @
% 19.96/3.55 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oalt) @
% 19.96/3.55 tc_bool) @
% 19.96/3.55 (tc_fun @
% 19.96/3.55 (tc_fun @
% 19.96/3.55 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oalt) @
% 19.96/3.55 tc_bool) @
% 19.96/3.55 (tc_fun @
% 19.96/3.55 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oalt) @
% 19.96/3.55 tc_bool))) @
% 19.96/3.55 v_Lab____) @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oindi @
% 19.96/3.55 (tc_fun @
% 19.96/3.55 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oalt) @
% 19.96/3.55 tc_bool) @
% 19.96/3.55 (tc_fun @
% 19.96/3.55 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oalt) @
% 19.96/3.55 tc_bool)) @
% 19.96/3.55 v_Lba____))))
% 19.96/3.55 | ~ (hBOOL @
% 19.96/3.55 (hAPP @
% 19.96/3.55 (hAPP @
% 19.96/3.55 (c_in @
% 19.96/3.55 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oalt)) @
% 19.96/3.55 (c_Pair @ v_a____ @ v_b____ @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oalt @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oalt)) @
% 19.96/3.55 (hAPP @ v_F @
% 19.96/3.55 (hAPP @
% 19.96/3.55 (c_COMBC @
% 19.96/3.55 (hAPP @
% 19.96/3.55 (c_COMBC @
% 19.96/3.55 (c_COMBB @
% 19.96/3.55 (c_HOL_OIf @
% 19.96/3.55 (tc_fun @
% 19.96/3.55 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oalt) @
% 19.96/3.55 tc_bool)) @
% 19.96/3.55 (hAPP @
% 19.96/3.55 (c_COMBC @
% 19.96/3.55 (c_COMBB @ (c_HOL_Oord__class_Oless @ tc_nat) @
% 19.96/3.55 v_h____ @ tc_nat @ (tc_fun @ tc_nat @ tc_bool) @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oindi) @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oindi @ tc_nat @ tc_bool) @
% 19.96/3.55 (c_HOL_Oplus__class_Oplus @ X0 @
% 19.96/3.55 (c_HOL_Oone__class_Oone @ tc_nat) @ tc_nat)) @
% 19.96/3.55 tc_bool @
% 19.96/3.55 (tc_fun @
% 19.96/3.55 (tc_fun @
% 19.96/3.55 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oalt) @
% 19.96/3.55 tc_bool) @
% 19.96/3.55 (tc_fun @
% 19.96/3.55 (tc_fun @
% 19.96/3.55 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oalt) @
% 19.96/3.55 tc_bool) @
% 19.96/3.55 (tc_fun @
% 19.96/3.55 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oalt) @
% 19.96/3.55 tc_bool))) @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oindi) @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oindi @
% 19.96/3.55 (tc_fun @
% 19.96/3.55 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oalt) @
% 19.96/3.55 tc_bool) @
% 19.96/3.55 (tc_fun @
% 19.96/3.55 (tc_fun @
% 19.96/3.55 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oalt) @
% 19.96/3.55 tc_bool) @
% 19.96/3.55 (tc_fun @
% 19.96/3.55 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oalt) @
% 19.96/3.55 tc_bool))) @
% 19.96/3.55 v_Lab____) @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oindi @
% 19.96/3.55 (tc_fun @
% 19.96/3.55 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oalt) @
% 19.96/3.55 tc_bool) @
% 19.96/3.55 (tc_fun @
% 19.96/3.55 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oalt) @
% 19.96/3.55 tc_bool)) @
% 19.96/3.55 v_Lba____))))
% 19.96/3.55 | (v_thesis____))),
% 19.96/3.55 inference('cnf', [status(esa)], [zf_stmt_0])).
% 19.96/3.55 thf(cls_conjecture_0, conjecture, (v_thesis____)).
% 19.96/3.55 thf(zf_stmt_1, negated_conjecture, (~( v_thesis____ )),
% 19.96/3.55 inference('cnf.neg', [status(esa)], [cls_conjecture_0])).
% 19.96/3.55 thf(zip_derived_cl522, plain, (~ (v_thesis____)),
% 19.96/3.55 inference('cnf', [status(esa)], [zf_stmt_1])).
% 19.96/3.55 thf(zip_derived_cl1115, plain,
% 19.96/3.55 (![X0 : $i]:
% 19.96/3.55 (~ (hBOOL @
% 19.96/3.55 (hAPP @
% 19.96/3.55 (hAPP @
% 19.96/3.55 (c_in @
% 19.96/3.55 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oalt)) @
% 19.96/3.55 (c_Pair @ v_a____ @ v_b____ @ tc_Arrow__Order__Mirabelle_Oalt @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oalt)) @
% 19.96/3.55 (hAPP @ v_F @
% 19.96/3.55 (hAPP @
% 19.96/3.55 (c_COMBC @
% 19.96/3.55 (hAPP @
% 19.96/3.55 (c_COMBC @
% 19.96/3.55 (c_COMBB @
% 19.96/3.55 (c_HOL_OIf @
% 19.96/3.55 (tc_fun @
% 19.96/3.55 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oalt) @
% 19.96/3.55 tc_bool)) @
% 19.96/3.55 (hAPP @
% 19.96/3.55 (c_COMBC @
% 19.96/3.55 (c_COMBB @ (c_HOL_Oord__class_Oless @ tc_nat) @
% 19.96/3.55 v_h____ @ tc_nat @ (tc_fun @ tc_nat @ tc_bool) @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oindi) @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oindi @ tc_nat @ tc_bool) @
% 19.96/3.55 (c_HOL_Oplus__class_Oplus @ X0 @
% 19.96/3.55 (c_HOL_Oone__class_Oone @ tc_nat) @ tc_nat)) @
% 19.96/3.55 tc_bool @
% 19.96/3.55 (tc_fun @
% 19.96/3.55 (tc_fun @
% 19.96/3.55 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oalt) @
% 19.96/3.55 tc_bool) @
% 19.96/3.55 (tc_fun @
% 19.96/3.55 (tc_fun @
% 19.96/3.55 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oalt) @
% 19.96/3.55 tc_bool) @
% 19.96/3.55 (tc_fun @
% 19.96/3.55 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oalt) @
% 19.96/3.55 tc_bool))) @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oindi) @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oindi @
% 19.96/3.55 (tc_fun @
% 19.96/3.55 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oalt) @
% 19.96/3.55 tc_bool) @
% 19.96/3.55 (tc_fun @
% 19.96/3.55 (tc_fun @
% 19.96/3.55 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oalt) @
% 19.96/3.55 tc_bool) @
% 19.96/3.55 (tc_fun @
% 19.96/3.55 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oalt) @
% 19.96/3.55 tc_bool))) @
% 19.96/3.55 v_Lab____) @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oindi @
% 19.96/3.55 (tc_fun @
% 19.96/3.55 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oalt) @
% 19.96/3.55 tc_bool) @
% 19.96/3.55 (tc_fun @
% 19.96/3.55 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oalt) @
% 19.96/3.55 tc_bool)) @
% 19.96/3.55 v_Lba____))))
% 19.96/3.55 | ~ (hBOOL @
% 19.96/3.55 (hAPP @
% 19.96/3.55 (hAPP @
% 19.96/3.55 (c_in @
% 19.96/3.55 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oalt)) @
% 19.96/3.55 (c_Pair @ v_b____ @ v_a____ @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oalt @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oalt)) @
% 19.96/3.55 (hAPP @ v_F @
% 19.96/3.55 (hAPP @
% 19.96/3.55 (c_COMBC @
% 19.96/3.55 (hAPP @
% 19.96/3.55 (c_COMBC @
% 19.96/3.55 (c_COMBB @
% 19.96/3.55 (c_HOL_OIf @
% 19.96/3.55 (tc_fun @
% 19.96/3.55 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oalt) @
% 19.96/3.55 tc_bool)) @
% 19.96/3.55 (hAPP @
% 19.96/3.55 (c_COMBC @
% 19.96/3.55 (c_COMBB @ (c_HOL_Oord__class_Oless @ tc_nat) @
% 19.96/3.55 v_h____ @ tc_nat @ (tc_fun @ tc_nat @ tc_bool) @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oindi) @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oindi @ tc_nat @ tc_bool) @
% 19.96/3.55 (hAPP @ v_n @ X0)) @
% 19.96/3.55 tc_bool @
% 19.96/3.55 (tc_fun @
% 19.96/3.55 (tc_fun @
% 19.96/3.55 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oalt) @
% 19.96/3.55 tc_bool) @
% 19.96/3.55 (tc_fun @
% 19.96/3.55 (tc_fun @
% 19.96/3.55 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oalt) @
% 19.96/3.55 tc_bool) @
% 19.96/3.55 (tc_fun @
% 19.96/3.55 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oalt) @
% 19.96/3.55 tc_bool))) @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oindi) @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oindi @
% 19.96/3.55 (tc_fun @
% 19.96/3.55 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oalt) @
% 19.96/3.55 tc_bool) @
% 19.96/3.55 (tc_fun @
% 19.96/3.55 (tc_fun @
% 19.96/3.55 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oalt) @
% 19.96/3.55 tc_bool) @
% 19.96/3.55 (tc_fun @
% 19.96/3.55 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oalt) @
% 19.96/3.55 tc_bool))) @
% 19.96/3.55 v_Lab____) @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oindi @
% 19.96/3.55 (tc_fun @
% 19.96/3.55 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oalt) @
% 19.96/3.55 tc_bool) @
% 19.96/3.55 (tc_fun @
% 19.96/3.55 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oalt) @
% 19.96/3.55 tc_bool)) @
% 19.96/3.55 v_Lba____))))
% 19.96/3.55 | ~ (hBOOL @
% 19.96/3.55 (hAPP @ (hAPP @ (c_HOL_Oord__class_Oless @ tc_nat) @ X0) @
% 19.96/3.55 (c_Finite__Set_Ocard @
% 19.96/3.55 (c_Orderings_Otop__class_Otop @
% 19.96/3.55 (tc_fun @ tc_Arrow__Order__Mirabelle_Oindi @ tc_bool)) @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oindi))))),
% 19.96/3.55 inference('dp-resolution', [status(thm)],
% 19.96/3.55 [zip_derived_cl524, zip_derived_cl522])).
% 19.96/3.55 thf(cls_Suc__eq__plus1_0, axiom,
% 19.96/3.55 (( c_Suc @ V_n ) =
% 19.96/3.55 ( c_HOL_Oplus__class_Oplus @
% 19.96/3.55 V_n @ ( c_HOL_Oone__class_Oone @ tc_nat ) @ tc_nat ))).
% 19.96/3.55 thf(zip_derived_cl215, plain,
% 19.96/3.55 (![X0 : $i]:
% 19.96/3.55 ((c_Suc @ X0)
% 19.96/3.55 = (c_HOL_Oplus__class_Oplus @ X0 @
% 19.96/3.55 (c_HOL_Oone__class_Oone @ tc_nat) @ tc_nat))),
% 19.96/3.55 inference('cnf', [status(esa)], [cls_Suc__eq__plus1_0])).
% 19.96/3.55 thf(zip_derived_cl6383, plain,
% 19.96/3.55 (![X0 : $i]:
% 19.96/3.55 (~ (hBOOL @
% 19.96/3.55 (hAPP @
% 19.96/3.55 (hAPP @
% 19.96/3.55 (c_in @
% 19.96/3.55 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oalt)) @
% 19.96/3.55 (c_Pair @ v_a____ @ v_b____ @ tc_Arrow__Order__Mirabelle_Oalt @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oalt)) @
% 19.96/3.55 (hAPP @ v_F @
% 19.96/3.55 (hAPP @
% 19.96/3.55 (c_COMBC @
% 19.96/3.55 (hAPP @
% 19.96/3.55 (c_COMBC @
% 19.96/3.55 (c_COMBB @
% 19.96/3.55 (c_HOL_OIf @
% 19.96/3.55 (tc_fun @
% 19.96/3.55 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oalt) @
% 19.96/3.55 tc_bool)) @
% 19.96/3.55 (hAPP @
% 19.96/3.55 (c_COMBC @
% 19.96/3.55 (c_COMBB @ (c_HOL_Oord__class_Oless @ tc_nat) @
% 19.96/3.55 v_h____ @ tc_nat @ (tc_fun @ tc_nat @ tc_bool) @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oindi) @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oindi @ tc_nat @ tc_bool) @
% 19.96/3.55 (c_Suc @ X0)) @
% 19.96/3.55 tc_bool @
% 19.96/3.55 (tc_fun @
% 19.96/3.55 (tc_fun @
% 19.96/3.55 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oalt) @
% 19.96/3.55 tc_bool) @
% 19.96/3.55 (tc_fun @
% 19.96/3.55 (tc_fun @
% 19.96/3.55 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oalt) @
% 19.96/3.55 tc_bool) @
% 19.96/3.55 (tc_fun @
% 19.96/3.55 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oalt) @
% 19.96/3.55 tc_bool))) @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oindi) @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oindi @
% 19.96/3.55 (tc_fun @
% 19.96/3.55 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oalt) @
% 19.96/3.55 tc_bool) @
% 19.96/3.55 (tc_fun @
% 19.96/3.55 (tc_fun @
% 19.96/3.55 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oalt) @
% 19.96/3.55 tc_bool) @
% 19.96/3.55 (tc_fun @
% 19.96/3.55 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oalt) @
% 19.96/3.55 tc_bool))) @
% 19.96/3.55 v_Lab____) @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oindi @
% 19.96/3.55 (tc_fun @
% 19.96/3.55 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oalt) @
% 19.96/3.55 tc_bool) @
% 19.96/3.55 (tc_fun @
% 19.96/3.55 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oalt) @
% 19.96/3.55 tc_bool)) @
% 19.96/3.55 v_Lba____))))
% 19.96/3.55 | ~ (hBOOL @
% 19.96/3.55 (hAPP @
% 19.96/3.55 (hAPP @
% 19.96/3.55 (c_in @
% 19.96/3.55 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oalt)) @
% 19.96/3.55 (c_Pair @ v_b____ @ v_a____ @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oalt @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oalt)) @
% 19.96/3.55 (hAPP @ v_F @
% 19.96/3.55 (hAPP @
% 19.96/3.55 (c_COMBC @
% 19.96/3.55 (hAPP @
% 19.96/3.55 (c_COMBC @
% 19.96/3.55 (c_COMBB @
% 19.96/3.55 (c_HOL_OIf @
% 19.96/3.55 (tc_fun @
% 19.96/3.55 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oalt) @
% 19.96/3.55 tc_bool)) @
% 19.96/3.55 (hAPP @
% 19.96/3.55 (c_COMBC @
% 19.96/3.55 (c_COMBB @ (c_HOL_Oord__class_Oless @ tc_nat) @
% 19.96/3.55 v_h____ @ tc_nat @ (tc_fun @ tc_nat @ tc_bool) @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oindi) @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oindi @ tc_nat @ tc_bool) @
% 19.96/3.55 (hAPP @ v_n @ X0)) @
% 19.96/3.55 tc_bool @
% 19.96/3.55 (tc_fun @
% 19.96/3.55 (tc_fun @
% 19.96/3.55 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oalt) @
% 19.96/3.55 tc_bool) @
% 19.96/3.55 (tc_fun @
% 19.96/3.55 (tc_fun @
% 19.96/3.55 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oalt) @
% 19.96/3.55 tc_bool) @
% 19.96/3.55 (tc_fun @
% 19.96/3.55 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oalt) @
% 19.96/3.55 tc_bool))) @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oindi) @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oindi @
% 19.96/3.55 (tc_fun @
% 19.96/3.55 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oalt) @
% 19.96/3.55 tc_bool) @
% 19.96/3.55 (tc_fun @
% 19.96/3.55 (tc_fun @
% 19.96/3.55 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oalt) @
% 19.96/3.55 tc_bool) @
% 19.96/3.55 (tc_fun @
% 19.96/3.55 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oalt) @
% 19.96/3.55 tc_bool))) @
% 19.96/3.55 v_Lab____) @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oindi @
% 19.96/3.55 (tc_fun @
% 19.96/3.55 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oalt) @
% 19.96/3.55 tc_bool) @
% 19.96/3.55 (tc_fun @
% 19.96/3.55 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oalt) @
% 19.96/3.55 tc_bool)) @
% 19.96/3.55 v_Lba____))))
% 19.96/3.55 | ~ (hBOOL @
% 19.96/3.55 (hAPP @ (hAPP @ (c_HOL_Oord__class_Oless @ tc_nat) @ X0) @
% 19.96/3.55 (c_Finite__Set_Ocard @
% 19.96/3.55 (c_Orderings_Otop__class_Otop @
% 19.96/3.55 (tc_fun @ tc_Arrow__Order__Mirabelle_Oindi @ tc_bool)) @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oindi))))),
% 19.96/3.55 inference('demod', [status(thm)], [zip_derived_cl1115, zip_derived_cl215])).
% 19.96/3.55 thf(zip_derived_cl6387, plain,
% 19.96/3.55 ((~ (hBOOL @
% 19.96/3.55 (hAPP @
% 19.96/3.55 (hAPP @
% 19.96/3.55 (c_in @
% 19.96/3.55 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oalt)) @
% 19.96/3.55 (c_Pair @ v_a____ @ v_b____ @ tc_Arrow__Order__Mirabelle_Oalt @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oalt)) @
% 19.96/3.55 (hAPP @ v_F @
% 19.96/3.55 (hAPP @
% 19.96/3.55 (c_COMBC @
% 19.96/3.55 (hAPP @
% 19.96/3.55 (c_COMBC @
% 19.96/3.55 (c_COMBB @
% 19.96/3.55 (c_HOL_OIf @
% 19.96/3.55 (tc_fun @
% 19.96/3.55 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oalt) @
% 19.96/3.55 tc_bool)) @
% 19.96/3.55 (hAPP @
% 19.96/3.55 (c_COMBC @
% 19.96/3.55 (c_COMBB @ (c_HOL_Oord__class_Oless @ tc_nat) @ v_h____ @
% 19.96/3.55 tc_nat @ (tc_fun @ tc_nat @ tc_bool) @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oindi) @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oindi @ tc_nat @ tc_bool) @
% 19.96/3.55 (c_Suc @
% 19.96/3.55 (v_sko__CHAINED__1 @ v_F @ v_Lab____ @ v_Lba____ @
% 19.96/3.55 v_a____ @ v_b____ @ v_h____))) @
% 19.96/3.55 tc_bool @
% 19.96/3.55 (tc_fun @
% 19.96/3.55 (tc_fun @
% 19.96/3.55 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oalt) @
% 19.96/3.55 tc_bool) @
% 19.96/3.55 (tc_fun @
% 19.96/3.55 (tc_fun @
% 19.96/3.55 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oalt) @
% 19.96/3.55 tc_bool) @
% 19.96/3.55 (tc_fun @
% 19.96/3.55 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oalt) @
% 19.96/3.55 tc_bool))) @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oindi) @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oindi @
% 19.96/3.55 (tc_fun @
% 19.96/3.55 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oalt) @
% 19.96/3.55 tc_bool) @
% 19.96/3.55 (tc_fun @
% 19.96/3.55 (tc_fun @
% 19.96/3.55 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oalt) @
% 19.96/3.55 tc_bool) @
% 19.96/3.55 (tc_fun @
% 19.96/3.55 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oalt) @
% 19.96/3.55 tc_bool))) @
% 19.96/3.55 v_Lab____) @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oindi @
% 19.96/3.55 (tc_fun @
% 19.96/3.55 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oalt) @
% 19.96/3.55 tc_bool) @
% 19.96/3.55 (tc_fun @
% 19.96/3.55 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oalt) @
% 19.96/3.55 tc_bool)) @
% 19.96/3.55 v_Lba____))))
% 19.96/3.55 | ~ (hBOOL @
% 19.96/3.55 (hAPP @
% 19.96/3.55 (hAPP @
% 19.96/3.55 (c_in @
% 19.96/3.55 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oalt)) @
% 19.96/3.55 (c_Pair @ v_b____ @ v_a____ @ tc_Arrow__Order__Mirabelle_Oalt @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oalt)) @
% 19.96/3.55 (hAPP @ v_F @
% 19.96/3.55 (hAPP @
% 19.96/3.55 (c_COMBC @
% 19.96/3.55 (hAPP @
% 19.96/3.55 (c_COMBC @
% 19.96/3.55 (c_COMBB @
% 19.96/3.55 (c_HOL_OIf @
% 19.96/3.55 (tc_fun @
% 19.96/3.55 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oalt) @
% 19.96/3.55 tc_bool)) @
% 19.96/3.55 (hAPP @
% 19.96/3.55 (c_COMBC @
% 19.96/3.55 (c_COMBB @ (c_HOL_Oord__class_Oless @ tc_nat) @
% 19.96/3.55 v_h____ @ tc_nat @ (tc_fun @ tc_nat @ tc_bool) @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oindi) @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oindi @ tc_nat @ tc_bool) @
% 19.96/3.55 (hAPP @ v_n @
% 19.96/3.55 (v_sko__CHAINED__1 @ v_F @ v_Lab____ @ v_Lba____ @
% 19.96/3.55 v_a____ @ v_b____ @ v_h____))) @
% 19.96/3.55 tc_bool @
% 19.96/3.55 (tc_fun @
% 19.96/3.55 (tc_fun @
% 19.96/3.55 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oalt) @
% 19.96/3.55 tc_bool) @
% 19.96/3.55 (tc_fun @
% 19.96/3.55 (tc_fun @
% 19.96/3.55 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oalt) @
% 19.96/3.55 tc_bool) @
% 19.96/3.55 (tc_fun @
% 19.96/3.55 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oalt) @
% 19.96/3.55 tc_bool))) @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oindi) @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oindi @
% 19.96/3.55 (tc_fun @
% 19.96/3.55 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oalt) @
% 19.96/3.55 tc_bool) @
% 19.96/3.55 (tc_fun @
% 19.96/3.55 (tc_fun @
% 19.96/3.55 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oalt) @
% 19.96/3.55 tc_bool) @
% 19.96/3.55 (tc_fun @
% 19.96/3.55 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oalt) @
% 19.96/3.55 tc_bool))) @
% 19.96/3.55 v_Lab____) @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oindi @
% 19.96/3.55 (tc_fun @
% 19.96/3.55 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oalt) @
% 19.96/3.55 tc_bool) @
% 19.96/3.55 (tc_fun @
% 19.96/3.55 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oalt) @
% 19.96/3.55 tc_bool)) @
% 19.96/3.55 v_Lba____)))))),
% 19.96/3.55 inference('s_sup-', [status(thm)],
% 19.96/3.55 [zip_derived_cl521, zip_derived_cl6383])).
% 19.96/3.55 thf(cls_CHAINED_2, axiom,
% 19.96/3.55 (hBOOL @
% 19.96/3.55 ( hAPP @
% 19.96/3.55 ( hAPP @
% 19.96/3.55 ( c_in @
% 19.96/3.55 ( tc_prod @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) ) @
% 19.96/3.55 ( c_Pair @
% 19.96/3.55 v_a____ @ v_b____ @ tc_Arrow__Order__Mirabelle_Oalt @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oalt ) ) @
% 19.96/3.55 ( hAPP @
% 19.96/3.55 v_F @
% 19.96/3.55 ( hAPP @
% 19.96/3.55 ( c_COMBC @
% 19.96/3.55 ( hAPP @
% 19.96/3.55 ( c_COMBC @
% 19.96/3.55 ( c_COMBB @
% 19.96/3.55 ( c_HOL_OIf @
% 19.96/3.55 ( tc_fun @
% 19.96/3.55 ( tc_prod @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oalt @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oalt ) @
% 19.96/3.55 tc_bool ) ) @
% 19.96/3.55 ( hAPP @
% 19.96/3.55 ( c_COMBC @
% 19.96/3.55 ( c_COMBB @
% 19.96/3.55 ( c_HOL_Oord__class_Oless @ tc_nat ) @ v_h____ @
% 19.96/3.55 tc_nat @ ( tc_fun @ tc_nat @ tc_bool ) @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oindi ) @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oindi @ tc_nat @ tc_bool ) @
% 19.96/3.55 ( c_HOL_Oplus__class_Oplus @
% 19.96/3.55 ( v_sko__CHAINED__1 @
% 19.96/3.55 v_F @ v_Lab____ @ v_Lba____ @ v_a____ @ v_b____ @
% 19.96/3.55 v_h____ ) @
% 19.96/3.55 ( c_HOL_Oone__class_Oone @ tc_nat ) @ tc_nat ) ) @
% 19.96/3.55 tc_bool @
% 19.96/3.55 ( tc_fun @
% 19.96/3.55 ( tc_fun @
% 19.96/3.55 ( tc_prod @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oalt @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oalt ) @
% 19.96/3.55 tc_bool ) @
% 19.96/3.55 ( tc_fun @
% 19.96/3.55 ( tc_fun @
% 19.96/3.55 ( tc_prod @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oalt @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oalt ) @
% 19.96/3.55 tc_bool ) @
% 19.96/3.55 ( tc_fun @
% 19.96/3.55 ( tc_prod @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oalt @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oalt ) @
% 19.96/3.55 tc_bool ) ) ) @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oindi ) @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oindi @
% 19.96/3.55 ( tc_fun @
% 19.96/3.55 ( tc_prod @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oalt @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oalt ) @
% 19.96/3.55 tc_bool ) @
% 19.96/3.55 ( tc_fun @
% 19.96/3.55 ( tc_fun @
% 19.96/3.55 ( tc_prod @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oalt @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oalt ) @
% 19.96/3.55 tc_bool ) @
% 19.96/3.55 ( tc_fun @
% 19.96/3.55 ( tc_prod @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oalt @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oalt ) @
% 19.96/3.55 tc_bool ) ) ) @
% 19.96/3.55 v_Lab____ ) @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oindi @
% 19.96/3.55 ( tc_fun @
% 19.96/3.55 ( tc_prod @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oalt @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oalt ) @
% 19.96/3.55 tc_bool ) @
% 19.96/3.55 ( tc_fun @
% 19.96/3.55 ( tc_prod @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oalt @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oalt ) @
% 19.96/3.55 tc_bool ) ) @
% 19.96/3.55 v_Lba____ ) ) ))).
% 19.96/3.55 thf(zip_derived_cl519, plain,
% 19.96/3.55 ( (hBOOL @
% 19.96/3.55 (hAPP @
% 19.96/3.55 (hAPP @
% 19.96/3.55 (c_in @
% 19.96/3.55 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oalt)) @
% 19.96/3.55 (c_Pair @ v_a____ @ v_b____ @ tc_Arrow__Order__Mirabelle_Oalt @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oalt)) @
% 19.96/3.55 (hAPP @ v_F @
% 19.96/3.55 (hAPP @
% 19.96/3.55 (c_COMBC @
% 19.96/3.55 (hAPP @
% 19.96/3.55 (c_COMBC @
% 19.96/3.55 (c_COMBB @
% 19.96/3.55 (c_HOL_OIf @
% 19.96/3.55 (tc_fun @
% 19.96/3.55 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oalt) @
% 19.96/3.55 tc_bool)) @
% 19.96/3.55 (hAPP @
% 19.96/3.55 (c_COMBC @
% 19.96/3.55 (c_COMBB @ (c_HOL_Oord__class_Oless @ tc_nat) @ v_h____ @
% 19.96/3.55 tc_nat @ (tc_fun @ tc_nat @ tc_bool) @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oindi) @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oindi @ tc_nat @ tc_bool) @
% 19.96/3.55 (c_HOL_Oplus__class_Oplus @
% 19.96/3.55 (v_sko__CHAINED__1 @ v_F @ v_Lab____ @ v_Lba____ @ v_a____ @
% 19.96/3.55 v_b____ @ v_h____) @
% 19.96/3.55 (c_HOL_Oone__class_Oone @ tc_nat) @ tc_nat)) @
% 19.96/3.55 tc_bool @
% 19.96/3.55 (tc_fun @
% 19.96/3.55 (tc_fun @
% 19.96/3.55 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oalt) @
% 19.96/3.55 tc_bool) @
% 19.96/3.55 (tc_fun @
% 19.96/3.55 (tc_fun @
% 19.96/3.55 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oalt) @
% 19.96/3.55 tc_bool) @
% 19.96/3.55 (tc_fun @
% 19.96/3.55 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oalt) @
% 19.96/3.55 tc_bool))) @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oindi) @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oindi @
% 19.96/3.55 (tc_fun @
% 19.96/3.55 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oalt) @
% 19.96/3.55 tc_bool) @
% 19.96/3.55 (tc_fun @
% 19.96/3.55 (tc_fun @
% 19.96/3.55 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oalt) @
% 19.96/3.55 tc_bool) @
% 19.96/3.55 (tc_fun @
% 19.96/3.55 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oalt) @
% 19.96/3.55 tc_bool))) @
% 19.96/3.55 v_Lab____) @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oindi @
% 19.96/3.55 (tc_fun @
% 19.96/3.55 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oalt) @
% 19.96/3.55 tc_bool) @
% 19.96/3.55 (tc_fun @
% 19.96/3.55 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oalt) @
% 19.96/3.55 tc_bool)) @
% 19.96/3.55 v_Lba____))))),
% 19.96/3.55 inference('cnf', [status(esa)], [cls_CHAINED_2])).
% 19.96/3.55 thf(zip_derived_cl215, plain,
% 19.96/3.55 (![X0 : $i]:
% 19.96/3.55 ((c_Suc @ X0)
% 19.96/3.55 = (c_HOL_Oplus__class_Oplus @ X0 @
% 19.96/3.55 (c_HOL_Oone__class_Oone @ tc_nat) @ tc_nat))),
% 19.96/3.55 inference('cnf', [status(esa)], [cls_Suc__eq__plus1_0])).
% 19.96/3.55 thf(zip_derived_cl3041, plain,
% 19.96/3.55 ( (hBOOL @
% 19.96/3.55 (hAPP @
% 19.96/3.55 (hAPP @
% 19.96/3.55 (c_in @
% 19.96/3.55 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oalt)) @
% 19.96/3.55 (c_Pair @ v_a____ @ v_b____ @ tc_Arrow__Order__Mirabelle_Oalt @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oalt)) @
% 19.96/3.55 (hAPP @ v_F @
% 19.96/3.55 (hAPP @
% 19.96/3.55 (c_COMBC @
% 19.96/3.55 (hAPP @
% 19.96/3.55 (c_COMBC @
% 19.96/3.55 (c_COMBB @
% 19.96/3.55 (c_HOL_OIf @
% 19.96/3.55 (tc_fun @
% 19.96/3.55 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oalt) @
% 19.96/3.55 tc_bool)) @
% 19.96/3.55 (hAPP @
% 19.96/3.55 (c_COMBC @
% 19.96/3.55 (c_COMBB @ (c_HOL_Oord__class_Oless @ tc_nat) @ v_h____ @
% 19.96/3.55 tc_nat @ (tc_fun @ tc_nat @ tc_bool) @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oindi) @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oindi @ tc_nat @ tc_bool) @
% 19.96/3.55 (c_Suc @
% 19.96/3.55 (v_sko__CHAINED__1 @ v_F @ v_Lab____ @ v_Lba____ @ v_a____ @
% 19.96/3.55 v_b____ @ v_h____))) @
% 19.96/3.55 tc_bool @
% 19.96/3.55 (tc_fun @
% 19.96/3.55 (tc_fun @
% 19.96/3.55 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oalt) @
% 19.96/3.55 tc_bool) @
% 19.96/3.55 (tc_fun @
% 19.96/3.55 (tc_fun @
% 19.96/3.55 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oalt) @
% 19.96/3.55 tc_bool) @
% 19.96/3.55 (tc_fun @
% 19.96/3.55 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oalt) @
% 19.96/3.55 tc_bool))) @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oindi) @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oindi @
% 19.96/3.55 (tc_fun @
% 19.96/3.55 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oalt) @
% 19.96/3.55 tc_bool) @
% 19.96/3.55 (tc_fun @
% 19.96/3.55 (tc_fun @
% 19.96/3.55 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oalt) @
% 19.96/3.55 tc_bool) @
% 19.96/3.55 (tc_fun @
% 19.96/3.55 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oalt) @
% 19.96/3.55 tc_bool))) @
% 19.96/3.55 v_Lab____) @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oindi @
% 19.96/3.55 (tc_fun @
% 19.96/3.55 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oalt) @
% 19.96/3.55 tc_bool) @
% 19.96/3.55 (tc_fun @
% 19.96/3.55 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oalt) @
% 19.96/3.55 tc_bool)) @
% 19.96/3.55 v_Lba____))))),
% 19.96/3.55 inference('demod', [status(thm)], [zip_derived_cl519, zip_derived_cl215])).
% 19.96/3.55 thf(zip_derived_cl6389, plain,
% 19.96/3.55 (~ (hBOOL @
% 19.96/3.55 (hAPP @
% 19.96/3.55 (hAPP @
% 19.96/3.55 (c_in @
% 19.96/3.55 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oalt)) @
% 19.96/3.55 (c_Pair @ v_b____ @ v_a____ @ tc_Arrow__Order__Mirabelle_Oalt @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oalt)) @
% 19.96/3.55 (hAPP @ v_F @
% 19.96/3.55 (hAPP @
% 19.96/3.55 (c_COMBC @
% 19.96/3.55 (hAPP @
% 19.96/3.55 (c_COMBC @
% 19.96/3.55 (c_COMBB @
% 19.96/3.55 (c_HOL_OIf @
% 19.96/3.55 (tc_fun @
% 19.96/3.55 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oalt) @
% 19.96/3.55 tc_bool)) @
% 19.96/3.55 (hAPP @
% 19.96/3.55 (c_COMBC @
% 19.96/3.55 (c_COMBB @ (c_HOL_Oord__class_Oless @ tc_nat) @ v_h____ @
% 19.96/3.55 tc_nat @ (tc_fun @ tc_nat @ tc_bool) @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oindi) @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oindi @ tc_nat @ tc_bool) @
% 19.96/3.55 (hAPP @ v_n @
% 19.96/3.55 (v_sko__CHAINED__1 @ v_F @ v_Lab____ @ v_Lba____ @
% 19.96/3.55 v_a____ @ v_b____ @ v_h____))) @
% 19.96/3.55 tc_bool @
% 19.96/3.55 (tc_fun @
% 19.96/3.55 (tc_fun @
% 19.96/3.55 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oalt) @
% 19.96/3.55 tc_bool) @
% 19.96/3.55 (tc_fun @
% 19.96/3.55 (tc_fun @
% 19.96/3.55 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oalt) @
% 19.96/3.55 tc_bool) @
% 19.96/3.55 (tc_fun @
% 19.96/3.55 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oalt) @
% 19.96/3.55 tc_bool))) @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oindi) @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oindi @
% 19.96/3.55 (tc_fun @
% 19.96/3.55 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oalt) @
% 19.96/3.55 tc_bool) @
% 19.96/3.55 (tc_fun @
% 19.96/3.55 (tc_fun @
% 19.96/3.55 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oalt) @
% 19.96/3.55 tc_bool) @
% 19.96/3.55 (tc_fun @
% 19.96/3.55 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oalt) @
% 19.96/3.55 tc_bool))) @
% 19.96/3.55 v_Lab____) @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oindi @
% 19.96/3.55 (tc_fun @
% 19.96/3.55 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oalt) @
% 19.96/3.55 tc_bool) @
% 19.96/3.55 (tc_fun @
% 19.96/3.55 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oalt) @
% 19.96/3.55 tc_bool)) @
% 19.96/3.55 v_Lba____))))),
% 19.96/3.55 inference('demod', [status(thm)],
% 19.96/3.55 [zip_derived_cl6387, zip_derived_cl3041])).
% 19.96/3.55 thf(zip_derived_cl9847, plain,
% 19.96/3.55 (~ (hBOOL @
% 19.96/3.55 (hAPP @
% 19.96/3.55 (hAPP @ (c_lessequals @ tc_nat) @
% 19.96/3.55 (hAPP @ v_n @
% 19.96/3.55 (v_sko__CHAINED__1 @ v_F @ v_Lab____ @ v_Lba____ @ v_a____ @
% 19.96/3.55 v_b____ @ v_h____))) @
% 19.96/3.55 (v_sko__CHAINED__1 @ v_F @ v_Lab____ @ v_Lba____ @ v_a____ @
% 19.96/3.55 v_b____ @ v_h____)))),
% 19.96/3.55 inference('s_sup-', [status(thm)],
% 19.96/3.55 [zip_derived_cl520, zip_derived_cl6389])).
% 19.96/3.55 thf(zip_derived_cl521, plain,
% 19.96/3.55 ( (hBOOL @
% 19.96/3.55 (hAPP @
% 19.96/3.55 (hAPP @ (c_HOL_Oord__class_Oless @ tc_nat) @
% 19.96/3.55 (v_sko__CHAINED__1 @ v_F @ v_Lab____ @ v_Lba____ @ v_a____ @
% 19.96/3.55 v_b____ @ v_h____)) @
% 19.96/3.55 (c_Finite__Set_Ocard @
% 19.96/3.55 (c_Orderings_Otop__class_Otop @
% 19.96/3.55 (tc_fun @ tc_Arrow__Order__Mirabelle_Oindi @ tc_bool)) @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oindi)))),
% 19.96/3.55 inference('cnf', [status(esa)], [cls_CHAINED_0])).
% 19.96/3.55 thf(cls_conjecture_1, conjecture,
% 19.96/3.55 (~( ( ~( hBOOL @
% 19.96/3.55 ( hAPP @
% 19.96/3.55 ( hAPP @ ( c_HOL_Oord__class_Oless @ tc_nat ) @ V_na ) @
% 19.96/3.55 ( c_Finite__Set_Ocard @
% 19.96/3.55 ( c_Orderings_Otop__class_Otop @
% 19.96/3.55 ( tc_fun @ tc_Arrow__Order__Mirabelle_Oindi @ tc_bool ) ) @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oindi ) ) ) ) |
% 19.96/3.55 ( hBOOL @
% 19.96/3.55 ( hAPP @
% 19.96/3.55 ( hAPP @ ( c_lessequals @ tc_nat ) @ ( hAPP @ v_n @ V_na ) ) @ V_na ) ) |
% 19.96/3.55 ( ~( hBOOL @
% 19.96/3.55 ( hAPP @
% 19.96/3.55 ( hAPP @
% 19.96/3.55 ( c_in @
% 19.96/3.55 ( tc_prod @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oalt @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oalt ) ) @
% 19.96/3.55 ( c_Pair @
% 19.96/3.55 v_a____ @ v_b____ @ tc_Arrow__Order__Mirabelle_Oalt @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oalt ) ) @
% 19.96/3.55 ( hAPP @
% 19.96/3.55 v_F @
% 19.96/3.55 ( hAPP @
% 19.96/3.55 ( c_COMBC @
% 19.96/3.55 ( hAPP @
% 19.96/3.55 ( c_COMBC @
% 19.96/3.55 ( c_COMBB @
% 19.96/3.55 ( c_HOL_OIf @
% 19.96/3.55 ( tc_fun @
% 19.96/3.55 ( tc_prod @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oalt @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oalt ) @
% 19.96/3.55 tc_bool ) ) @
% 19.96/3.55 ( hAPP @
% 19.96/3.55 ( c_COMBC @
% 19.96/3.55 ( c_COMBB @
% 19.96/3.55 ( c_HOL_Oord__class_Oless @ tc_nat ) @
% 19.96/3.55 v_h____ @ tc_nat @
% 19.96/3.55 ( tc_fun @ tc_nat @ tc_bool ) @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oindi ) @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oindi @ tc_nat @
% 19.96/3.55 tc_bool ) @
% 19.96/3.55 ( c_HOL_Oplus__class_Oplus @
% 19.96/3.55 V_na @ ( c_HOL_Oone__class_Oone @ tc_nat ) @
% 19.96/3.55 tc_nat ) ) @
% 19.96/3.55 tc_bool @
% 19.96/3.55 ( tc_fun @
% 19.96/3.55 ( tc_fun @
% 19.96/3.55 ( tc_prod @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oalt @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oalt ) @
% 19.96/3.55 tc_bool ) @
% 19.96/3.55 ( tc_fun @
% 19.96/3.55 ( tc_fun @
% 19.96/3.55 ( tc_prod @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oalt @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oalt ) @
% 19.96/3.55 tc_bool ) @
% 19.96/3.55 ( tc_fun @
% 19.96/3.55 ( tc_prod @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oalt @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oalt ) @
% 19.96/3.55 tc_bool ) ) ) @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oindi ) @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oindi @
% 19.96/3.55 ( tc_fun @
% 19.96/3.55 ( tc_prod @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oalt @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oalt ) @
% 19.96/3.55 tc_bool ) @
% 19.96/3.55 ( tc_fun @
% 19.96/3.55 ( tc_fun @
% 19.96/3.55 ( tc_prod @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oalt @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oalt ) @
% 19.96/3.55 tc_bool ) @
% 19.96/3.55 ( tc_fun @
% 19.96/3.55 ( tc_prod @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oalt @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oalt ) @
% 19.96/3.55 tc_bool ) ) ) @
% 19.96/3.55 v_Lab____ ) @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oindi @
% 19.96/3.55 ( tc_fun @
% 19.96/3.55 ( tc_prod @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oalt @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oalt ) @
% 19.96/3.55 tc_bool ) @
% 19.96/3.55 ( tc_fun @
% 19.96/3.55 ( tc_prod @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oalt @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oalt ) @
% 19.96/3.55 tc_bool ) ) @
% 19.96/3.55 v_Lba____ ) ) ) ) ) |
% 19.96/3.55 ( v_thesis____ ) ))).
% 19.96/3.55 thf(zf_stmt_2, negated_conjecture,
% 19.96/3.55 (( ~( hBOOL @
% 19.96/3.55 ( hAPP @
% 19.96/3.55 ( hAPP @ ( c_HOL_Oord__class_Oless @ tc_nat ) @ V_na ) @
% 19.96/3.55 ( c_Finite__Set_Ocard @
% 19.96/3.55 ( c_Orderings_Otop__class_Otop @
% 19.96/3.55 ( tc_fun @ tc_Arrow__Order__Mirabelle_Oindi @ tc_bool ) ) @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oindi ) ) ) ) |
% 19.96/3.55 ( hBOOL @
% 19.96/3.55 ( hAPP @
% 19.96/3.55 ( hAPP @ ( c_lessequals @ tc_nat ) @ ( hAPP @ v_n @ V_na ) ) @ V_na ) ) |
% 19.96/3.55 ( ~( hBOOL @
% 19.96/3.55 ( hAPP @
% 19.96/3.55 ( hAPP @
% 19.96/3.55 ( c_in @
% 19.96/3.55 ( tc_prod @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oalt @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oalt ) ) @
% 19.96/3.55 ( c_Pair @
% 19.96/3.55 v_a____ @ v_b____ @ tc_Arrow__Order__Mirabelle_Oalt @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oalt ) ) @
% 19.96/3.55 ( hAPP @
% 19.96/3.55 v_F @
% 19.96/3.55 ( hAPP @
% 19.96/3.55 ( c_COMBC @
% 19.96/3.55 ( hAPP @
% 19.96/3.55 ( c_COMBC @
% 19.96/3.55 ( c_COMBB @
% 19.96/3.55 ( c_HOL_OIf @
% 19.96/3.55 ( tc_fun @
% 19.96/3.55 ( tc_prod @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oalt @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oalt ) @
% 19.96/3.55 tc_bool ) ) @
% 19.96/3.55 ( hAPP @
% 19.96/3.55 ( c_COMBC @
% 19.96/3.55 ( c_COMBB @
% 19.96/3.55 ( c_HOL_Oord__class_Oless @ tc_nat ) @ v_h____ @
% 19.96/3.55 tc_nat @ ( tc_fun @ tc_nat @ tc_bool ) @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oindi ) @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oindi @ tc_nat @ tc_bool ) @
% 19.96/3.55 ( c_HOL_Oplus__class_Oplus @
% 19.96/3.55 V_na @ ( c_HOL_Oone__class_Oone @ tc_nat ) @ tc_nat ) ) @
% 19.96/3.55 tc_bool @
% 19.96/3.55 ( tc_fun @
% 19.96/3.55 ( tc_fun @
% 19.96/3.55 ( tc_prod @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oalt @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oalt ) @
% 19.96/3.55 tc_bool ) @
% 19.96/3.55 ( tc_fun @
% 19.96/3.55 ( tc_fun @
% 19.96/3.55 ( tc_prod @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oalt @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oalt ) @
% 19.96/3.55 tc_bool ) @
% 19.96/3.55 ( tc_fun @
% 19.96/3.55 ( tc_prod @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oalt @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oalt ) @
% 19.96/3.55 tc_bool ) ) ) @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oindi ) @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oindi @
% 19.96/3.55 ( tc_fun @
% 19.96/3.55 ( tc_prod @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oalt @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oalt ) @
% 19.96/3.55 tc_bool ) @
% 19.96/3.55 ( tc_fun @
% 19.96/3.55 ( tc_fun @
% 19.96/3.55 ( tc_prod @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oalt @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oalt ) @
% 19.96/3.55 tc_bool ) @
% 19.96/3.55 ( tc_fun @
% 19.96/3.55 ( tc_prod @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oalt @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oalt ) @
% 19.96/3.55 tc_bool ) ) ) @
% 19.96/3.55 v_Lab____ ) @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oindi @
% 19.96/3.55 ( tc_fun @
% 19.96/3.55 ( tc_prod @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oalt @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oalt ) @
% 19.96/3.55 tc_bool ) @
% 19.96/3.55 ( tc_fun @
% 19.96/3.55 ( tc_prod @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oalt @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oalt ) @
% 19.96/3.55 tc_bool ) ) @
% 19.96/3.55 v_Lba____ ) ) ) ) ) |
% 19.96/3.55 ( v_thesis____ )),
% 19.96/3.55 inference('cnf.neg', [status(esa)], [cls_conjecture_1])).
% 19.96/3.55 thf(zip_derived_cl523, plain,
% 19.96/3.55 (![X0 : $i]:
% 19.96/3.55 (~ (hBOOL @
% 19.96/3.55 (hAPP @ (hAPP @ (c_HOL_Oord__class_Oless @ tc_nat) @ X0) @
% 19.96/3.55 (c_Finite__Set_Ocard @
% 19.96/3.55 (c_Orderings_Otop__class_Otop @
% 19.96/3.55 (tc_fun @ tc_Arrow__Order__Mirabelle_Oindi @ tc_bool)) @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oindi)))
% 19.96/3.55 | (hBOOL @
% 19.96/3.55 (hAPP @ (hAPP @ (c_lessequals @ tc_nat) @ (hAPP @ v_n @ X0)) @ X0))
% 19.96/3.55 | ~ (hBOOL @
% 19.96/3.55 (hAPP @
% 19.96/3.55 (hAPP @
% 19.96/3.55 (c_in @
% 19.96/3.55 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oalt)) @
% 19.96/3.55 (c_Pair @ v_a____ @ v_b____ @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oalt @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oalt)) @
% 19.96/3.55 (hAPP @ v_F @
% 19.96/3.55 (hAPP @
% 19.96/3.55 (c_COMBC @
% 19.96/3.55 (hAPP @
% 19.96/3.55 (c_COMBC @
% 19.96/3.55 (c_COMBB @
% 19.96/3.55 (c_HOL_OIf @
% 19.96/3.55 (tc_fun @
% 19.96/3.55 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oalt) @
% 19.96/3.55 tc_bool)) @
% 19.96/3.55 (hAPP @
% 19.96/3.55 (c_COMBC @
% 19.96/3.55 (c_COMBB @ (c_HOL_Oord__class_Oless @ tc_nat) @
% 19.96/3.55 v_h____ @ tc_nat @ (tc_fun @ tc_nat @ tc_bool) @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oindi) @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oindi @ tc_nat @ tc_bool) @
% 19.96/3.55 (c_HOL_Oplus__class_Oplus @ X0 @
% 19.96/3.55 (c_HOL_Oone__class_Oone @ tc_nat) @ tc_nat)) @
% 19.96/3.55 tc_bool @
% 19.96/3.55 (tc_fun @
% 19.96/3.55 (tc_fun @
% 19.96/3.55 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oalt) @
% 19.96/3.55 tc_bool) @
% 19.96/3.55 (tc_fun @
% 19.96/3.55 (tc_fun @
% 19.96/3.55 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oalt) @
% 19.96/3.55 tc_bool) @
% 19.96/3.55 (tc_fun @
% 19.96/3.55 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oalt) @
% 19.96/3.55 tc_bool))) @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oindi) @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oindi @
% 19.96/3.55 (tc_fun @
% 19.96/3.55 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oalt) @
% 19.96/3.55 tc_bool) @
% 19.96/3.55 (tc_fun @
% 19.96/3.55 (tc_fun @
% 19.96/3.55 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oalt) @
% 19.96/3.55 tc_bool) @
% 19.96/3.55 (tc_fun @
% 19.96/3.55 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oalt) @
% 19.96/3.55 tc_bool))) @
% 19.96/3.55 v_Lab____) @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oindi @
% 19.96/3.55 (tc_fun @
% 19.96/3.55 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oalt) @
% 19.96/3.55 tc_bool) @
% 19.96/3.55 (tc_fun @
% 19.96/3.55 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oalt) @
% 19.96/3.55 tc_bool)) @
% 19.96/3.55 v_Lba____))))
% 19.96/3.55 | (v_thesis____))),
% 19.96/3.55 inference('cnf', [status(esa)], [zf_stmt_2])).
% 19.96/3.55 thf(zip_derived_cl522, plain, (~ (v_thesis____)),
% 19.96/3.55 inference('cnf', [status(esa)], [zf_stmt_1])).
% 19.96/3.55 thf(zip_derived_cl1114, plain,
% 19.96/3.55 (![X0 : $i]:
% 19.96/3.55 (~ (hBOOL @
% 19.96/3.55 (hAPP @
% 19.96/3.55 (hAPP @
% 19.96/3.55 (c_in @
% 19.96/3.55 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oalt)) @
% 19.96/3.55 (c_Pair @ v_a____ @ v_b____ @ tc_Arrow__Order__Mirabelle_Oalt @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oalt)) @
% 19.96/3.55 (hAPP @ v_F @
% 19.96/3.55 (hAPP @
% 19.96/3.55 (c_COMBC @
% 19.96/3.55 (hAPP @
% 19.96/3.55 (c_COMBC @
% 19.96/3.55 (c_COMBB @
% 19.96/3.55 (c_HOL_OIf @
% 19.96/3.55 (tc_fun @
% 19.96/3.55 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oalt) @
% 19.96/3.55 tc_bool)) @
% 19.96/3.55 (hAPP @
% 19.96/3.55 (c_COMBC @
% 19.96/3.55 (c_COMBB @ (c_HOL_Oord__class_Oless @ tc_nat) @
% 19.96/3.55 v_h____ @ tc_nat @ (tc_fun @ tc_nat @ tc_bool) @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oindi) @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oindi @ tc_nat @ tc_bool) @
% 19.96/3.55 (c_HOL_Oplus__class_Oplus @ X0 @
% 19.96/3.55 (c_HOL_Oone__class_Oone @ tc_nat) @ tc_nat)) @
% 19.96/3.55 tc_bool @
% 19.96/3.55 (tc_fun @
% 19.96/3.55 (tc_fun @
% 19.96/3.55 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oalt) @
% 19.96/3.55 tc_bool) @
% 19.96/3.55 (tc_fun @
% 19.96/3.55 (tc_fun @
% 19.96/3.55 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oalt) @
% 19.96/3.55 tc_bool) @
% 19.96/3.55 (tc_fun @
% 19.96/3.55 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oalt) @
% 19.96/3.55 tc_bool))) @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oindi) @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oindi @
% 19.96/3.55 (tc_fun @
% 19.96/3.55 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oalt) @
% 19.96/3.55 tc_bool) @
% 19.96/3.55 (tc_fun @
% 19.96/3.55 (tc_fun @
% 19.96/3.55 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oalt) @
% 19.96/3.55 tc_bool) @
% 19.96/3.55 (tc_fun @
% 19.96/3.55 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oalt) @
% 19.96/3.55 tc_bool))) @
% 19.96/3.55 v_Lab____) @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oindi @
% 19.96/3.55 (tc_fun @
% 19.96/3.55 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oalt) @
% 19.96/3.55 tc_bool) @
% 19.96/3.55 (tc_fun @
% 19.96/3.55 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oalt) @
% 19.96/3.55 tc_bool)) @
% 19.96/3.55 v_Lba____))))
% 19.96/3.55 | (hBOOL @
% 19.96/3.55 (hAPP @ (hAPP @ (c_lessequals @ tc_nat) @ (hAPP @ v_n @ X0)) @ X0))
% 19.96/3.55 | ~ (hBOOL @
% 19.96/3.55 (hAPP @ (hAPP @ (c_HOL_Oord__class_Oless @ tc_nat) @ X0) @
% 19.96/3.55 (c_Finite__Set_Ocard @
% 19.96/3.55 (c_Orderings_Otop__class_Otop @
% 19.96/3.55 (tc_fun @ tc_Arrow__Order__Mirabelle_Oindi @ tc_bool)) @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oindi))))),
% 19.96/3.55 inference('dp-resolution', [status(thm)],
% 19.96/3.55 [zip_derived_cl523, zip_derived_cl522])).
% 19.96/3.55 thf(zip_derived_cl215, plain,
% 19.96/3.55 (![X0 : $i]:
% 19.96/3.55 ((c_Suc @ X0)
% 19.96/3.55 = (c_HOL_Oplus__class_Oplus @ X0 @
% 19.96/3.55 (c_HOL_Oone__class_Oone @ tc_nat) @ tc_nat))),
% 19.96/3.55 inference('cnf', [status(esa)], [cls_Suc__eq__plus1_0])).
% 19.96/3.55 thf(zip_derived_cl6376, plain,
% 19.96/3.55 (![X0 : $i]:
% 19.96/3.55 (~ (hBOOL @
% 19.96/3.55 (hAPP @
% 19.96/3.55 (hAPP @
% 19.96/3.55 (c_in @
% 19.96/3.55 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oalt)) @
% 19.96/3.55 (c_Pair @ v_a____ @ v_b____ @ tc_Arrow__Order__Mirabelle_Oalt @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oalt)) @
% 19.96/3.55 (hAPP @ v_F @
% 19.96/3.55 (hAPP @
% 19.96/3.55 (c_COMBC @
% 19.96/3.55 (hAPP @
% 19.96/3.55 (c_COMBC @
% 19.96/3.55 (c_COMBB @
% 19.96/3.55 (c_HOL_OIf @
% 19.96/3.55 (tc_fun @
% 19.96/3.55 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oalt) @
% 19.96/3.55 tc_bool)) @
% 19.96/3.55 (hAPP @
% 19.96/3.55 (c_COMBC @
% 19.96/3.55 (c_COMBB @ (c_HOL_Oord__class_Oless @ tc_nat) @
% 19.96/3.55 v_h____ @ tc_nat @ (tc_fun @ tc_nat @ tc_bool) @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oindi) @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oindi @ tc_nat @ tc_bool) @
% 19.96/3.55 (c_Suc @ X0)) @
% 19.96/3.55 tc_bool @
% 19.96/3.55 (tc_fun @
% 19.96/3.55 (tc_fun @
% 19.96/3.55 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oalt) @
% 19.96/3.55 tc_bool) @
% 19.96/3.55 (tc_fun @
% 19.96/3.55 (tc_fun @
% 19.96/3.55 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oalt) @
% 19.96/3.55 tc_bool) @
% 19.96/3.55 (tc_fun @
% 19.96/3.55 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oalt) @
% 19.96/3.55 tc_bool))) @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oindi) @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oindi @
% 19.96/3.55 (tc_fun @
% 19.96/3.55 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oalt) @
% 19.96/3.55 tc_bool) @
% 19.96/3.55 (tc_fun @
% 19.96/3.55 (tc_fun @
% 19.96/3.55 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oalt) @
% 19.96/3.55 tc_bool) @
% 19.96/3.55 (tc_fun @
% 19.96/3.55 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oalt) @
% 19.96/3.55 tc_bool))) @
% 19.96/3.55 v_Lab____) @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oindi @
% 19.96/3.55 (tc_fun @
% 19.96/3.55 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oalt) @
% 19.96/3.55 tc_bool) @
% 19.96/3.55 (tc_fun @
% 19.96/3.55 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oalt) @
% 19.96/3.55 tc_bool)) @
% 19.96/3.55 v_Lba____))))
% 19.96/3.55 | (hBOOL @
% 19.96/3.55 (hAPP @ (hAPP @ (c_lessequals @ tc_nat) @ (hAPP @ v_n @ X0)) @ X0))
% 19.96/3.55 | ~ (hBOOL @
% 19.96/3.55 (hAPP @ (hAPP @ (c_HOL_Oord__class_Oless @ tc_nat) @ X0) @
% 19.96/3.55 (c_Finite__Set_Ocard @
% 19.96/3.55 (c_Orderings_Otop__class_Otop @
% 19.96/3.55 (tc_fun @ tc_Arrow__Order__Mirabelle_Oindi @ tc_bool)) @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oindi))))),
% 19.96/3.55 inference('demod', [status(thm)], [zip_derived_cl1114, zip_derived_cl215])).
% 19.96/3.55 thf(zip_derived_cl6380, plain,
% 19.96/3.55 ((~ (hBOOL @
% 19.96/3.55 (hAPP @
% 19.96/3.55 (hAPP @
% 19.96/3.55 (c_in @
% 19.96/3.55 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oalt)) @
% 19.96/3.55 (c_Pair @ v_a____ @ v_b____ @ tc_Arrow__Order__Mirabelle_Oalt @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oalt)) @
% 19.96/3.55 (hAPP @ v_F @
% 19.96/3.55 (hAPP @
% 19.96/3.55 (c_COMBC @
% 19.96/3.55 (hAPP @
% 19.96/3.55 (c_COMBC @
% 19.96/3.55 (c_COMBB @
% 19.96/3.55 (c_HOL_OIf @
% 19.96/3.55 (tc_fun @
% 19.96/3.55 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oalt) @
% 19.96/3.55 tc_bool)) @
% 19.96/3.55 (hAPP @
% 19.96/3.55 (c_COMBC @
% 19.96/3.55 (c_COMBB @ (c_HOL_Oord__class_Oless @ tc_nat) @ v_h____ @
% 19.96/3.55 tc_nat @ (tc_fun @ tc_nat @ tc_bool) @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oindi) @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oindi @ tc_nat @ tc_bool) @
% 19.96/3.55 (c_Suc @
% 19.96/3.55 (v_sko__CHAINED__1 @ v_F @ v_Lab____ @ v_Lba____ @
% 19.96/3.55 v_a____ @ v_b____ @ v_h____))) @
% 19.96/3.55 tc_bool @
% 19.96/3.55 (tc_fun @
% 19.96/3.55 (tc_fun @
% 19.96/3.55 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oalt) @
% 19.96/3.55 tc_bool) @
% 19.96/3.55 (tc_fun @
% 19.96/3.55 (tc_fun @
% 19.96/3.55 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oalt) @
% 19.96/3.55 tc_bool) @
% 19.96/3.55 (tc_fun @
% 19.96/3.55 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oalt) @
% 19.96/3.55 tc_bool))) @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oindi) @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oindi @
% 19.96/3.55 (tc_fun @
% 19.96/3.55 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oalt) @
% 19.96/3.55 tc_bool) @
% 19.96/3.55 (tc_fun @
% 19.96/3.55 (tc_fun @
% 19.96/3.55 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oalt) @
% 19.96/3.55 tc_bool) @
% 19.96/3.55 (tc_fun @
% 19.96/3.55 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oalt) @
% 19.96/3.55 tc_bool))) @
% 19.96/3.55 v_Lab____) @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oindi @
% 19.96/3.55 (tc_fun @
% 19.96/3.55 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oalt) @
% 19.96/3.55 tc_bool) @
% 19.96/3.55 (tc_fun @
% 19.96/3.55 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oalt) @
% 19.96/3.55 tc_bool)) @
% 19.96/3.55 v_Lba____))))
% 19.96/3.55 | (hBOOL @
% 19.96/3.55 (hAPP @
% 19.96/3.55 (hAPP @ (c_lessequals @ tc_nat) @
% 19.96/3.55 (hAPP @ v_n @
% 19.96/3.55 (v_sko__CHAINED__1 @ v_F @ v_Lab____ @ v_Lba____ @ v_a____ @
% 19.96/3.55 v_b____ @ v_h____))) @
% 19.96/3.55 (v_sko__CHAINED__1 @ v_F @ v_Lab____ @ v_Lba____ @ v_a____ @
% 19.96/3.55 v_b____ @ v_h____))))),
% 19.96/3.55 inference('s_sup-', [status(thm)],
% 19.96/3.55 [zip_derived_cl521, zip_derived_cl6376])).
% 19.96/3.55 thf(zip_derived_cl3041, plain,
% 19.96/3.55 ( (hBOOL @
% 19.96/3.55 (hAPP @
% 19.96/3.55 (hAPP @
% 19.96/3.55 (c_in @
% 19.96/3.55 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oalt)) @
% 19.96/3.55 (c_Pair @ v_a____ @ v_b____ @ tc_Arrow__Order__Mirabelle_Oalt @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oalt)) @
% 19.96/3.55 (hAPP @ v_F @
% 19.96/3.55 (hAPP @
% 19.96/3.55 (c_COMBC @
% 19.96/3.55 (hAPP @
% 19.96/3.55 (c_COMBC @
% 19.96/3.55 (c_COMBB @
% 19.96/3.55 (c_HOL_OIf @
% 19.96/3.55 (tc_fun @
% 19.96/3.55 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oalt) @
% 19.96/3.55 tc_bool)) @
% 19.96/3.55 (hAPP @
% 19.96/3.55 (c_COMBC @
% 19.96/3.55 (c_COMBB @ (c_HOL_Oord__class_Oless @ tc_nat) @ v_h____ @
% 19.96/3.55 tc_nat @ (tc_fun @ tc_nat @ tc_bool) @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oindi) @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oindi @ tc_nat @ tc_bool) @
% 19.96/3.55 (c_Suc @
% 19.96/3.55 (v_sko__CHAINED__1 @ v_F @ v_Lab____ @ v_Lba____ @ v_a____ @
% 19.96/3.55 v_b____ @ v_h____))) @
% 19.96/3.55 tc_bool @
% 19.96/3.55 (tc_fun @
% 19.96/3.55 (tc_fun @
% 19.96/3.55 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oalt) @
% 19.96/3.55 tc_bool) @
% 19.96/3.55 (tc_fun @
% 19.96/3.55 (tc_fun @
% 19.96/3.55 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oalt) @
% 19.96/3.55 tc_bool) @
% 19.96/3.55 (tc_fun @
% 19.96/3.55 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oalt) @
% 19.96/3.55 tc_bool))) @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oindi) @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oindi @
% 19.96/3.55 (tc_fun @
% 19.96/3.55 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oalt) @
% 19.96/3.55 tc_bool) @
% 19.96/3.55 (tc_fun @
% 19.96/3.55 (tc_fun @
% 19.96/3.55 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oalt) @
% 19.96/3.55 tc_bool) @
% 19.96/3.55 (tc_fun @
% 19.96/3.55 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oalt) @
% 19.96/3.55 tc_bool))) @
% 19.96/3.55 v_Lab____) @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oindi @
% 19.96/3.55 (tc_fun @
% 19.96/3.55 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oalt) @
% 19.96/3.55 tc_bool) @
% 19.96/3.55 (tc_fun @
% 19.96/3.55 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 19.96/3.55 tc_Arrow__Order__Mirabelle_Oalt) @
% 19.96/3.55 tc_bool)) @
% 19.96/3.55 v_Lba____))))),
% 19.96/3.55 inference('demod', [status(thm)], [zip_derived_cl519, zip_derived_cl215])).
% 19.96/3.55 thf(zip_derived_cl6382, plain,
% 19.96/3.55 ( (hBOOL @
% 19.96/3.55 (hAPP @
% 19.96/3.55 (hAPP @ (c_lessequals @ tc_nat) @
% 19.96/3.55 (hAPP @ v_n @
% 19.96/3.55 (v_sko__CHAINED__1 @ v_F @ v_Lab____ @ v_Lba____ @ v_a____ @
% 19.96/3.55 v_b____ @ v_h____))) @
% 19.96/3.55 (v_sko__CHAINED__1 @ v_F @ v_Lab____ @ v_Lba____ @ v_a____ @
% 19.96/3.55 v_b____ @ v_h____)))),
% 19.96/3.55 inference('demod', [status(thm)],
% 19.96/3.55 [zip_derived_cl6380, zip_derived_cl3041])).
% 19.96/3.55 thf(zip_derived_cl9848, plain, ($false),
% 19.96/3.55 inference('demod', [status(thm)],
% 19.96/3.55 [zip_derived_cl9847, zip_derived_cl6382])).
% 19.96/3.55
% 19.96/3.55 % SZS output end Refutation
% 19.96/3.55
% 19.96/3.55
% 19.96/3.55 % Terminating...
% 20.98/3.61 % Runner terminated.
% 20.98/3.62 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------