%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SCT066-1 : 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.VhEM28DodD true
% Computer : n023.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Oct 2 04:50:46 PM UTC 2025
% Result : Unsatisfiable 0.58s 1.05s
% Output : Refutation 0.58s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SCT066-1 : TPTP v9.2.0. Released v4.1.0.
% 0.03/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.VhEM28DodD true
% 0.13/0.34 % Computer : n023.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Wed Oct 1 15:15:53 EDT 2025
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % Running portfolio for 300 s
% 0.13/0.34 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.34 % Number of cores: 8
% 0.13/0.34 % Python version: Python 3.6.8
% 0.13/0.35 % Running in FO mode
% 0.55/0.63 % Total configuration time : 435
% 0.55/0.63 % Estimated wc time : 1092
% 0.55/0.63 % Estimated cpu time (7 cpus) : 156.0
% 0.57/0.71 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.57/0.73 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.57/0.75 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.57/0.75 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.58/0.77 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.58/0.78 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.58/0.79 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.58/1.05 % Solved by fo/fo4.sh.
% 0.58/1.05 % done 60 iterations in 0.211s
% 0.58/1.05 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.58/1.05 % SZS output start Refutation
% 0.58/1.05 thf(c_Arrow__Order__Mirabelle_OProf_type, type, c_Arrow__Order__Mirabelle_OProf:
% 0.58/1.05 $i).
% 0.58/1.05 thf(hAPP_type, type, hAPP: $i > $i > $i).
% 0.58/1.05 thf(v_a_____type, type, v_a____: $i).
% 0.58/1.05 thf(tc_Arrow__Order__Mirabelle_Oalt_type, type, tc_Arrow__Order__Mirabelle_Oalt:
% 0.58/1.05 $i).
% 0.58/1.05 thf(v_a_H_____type, type, v_a_H____: $i).
% 0.58/1.05 thf(v_P_____type, type, v_P____: $i).
% 0.58/1.05 thf(v_b_____type, type, v_b____: $i).
% 0.58/1.05 thf(c_in_type, type, c_in: $i > $i > $i > $o).
% 0.58/1.05 thf(v_sko__CHAINED__1_type, type, v_sko__CHAINED__1: $i > $i > $i > $i >
% 0.58/1.05 $i > $i > $i).
% 0.58/1.05 thf(tc_fun_type, type, tc_fun: $i > $i > $i).
% 0.58/1.05 thf(v_b_H_____type, type, v_b_H____: $i).
% 0.58/1.05 thf(v_P_H_____type, type, v_P_H____: $i).
% 0.58/1.05 thf(v_F_type, type, v_F: $i > $i).
% 0.58/1.05 thf(tc_prod_type, type, tc_prod: $i > $i > $i).
% 0.58/1.05 thf(tc_bool_type, type, tc_bool: $i).
% 0.58/1.05 thf(tc_Arrow__Order__Mirabelle_Oindi_type, type, tc_Arrow__Order__Mirabelle_Oindi:
% 0.58/1.05 $i).
% 0.58/1.05 thf(c_Pair_type, type, c_Pair: $i > $i > $i > $i > $i).
% 0.58/1.05 thf(cls_A_I5_J_1, axiom,
% 0.58/1.05 (( c_in @
% 0.58/1.05 ( c_Pair @
% 0.58/1.05 v_a____ @ v_b____ @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt ) @
% 0.58/1.05 ( hAPP @ v_P____ @ V_i ) @
% 0.58/1.05 ( tc_prod @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) ) |
% 0.58/1.05 ( ~( c_in @
% 0.58/1.05 ( c_Pair @
% 0.58/1.05 v_a_H____ @ v_b_H____ @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt ) @
% 0.58/1.05 ( hAPP @ v_P_H____ @ V_i ) @
% 0.58/1.05 ( tc_prod @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) ) ))).
% 0.58/1.05 thf(zip_derived_cl5, plain,
% 0.58/1.05 (![X0 : $i]:
% 0.58/1.05 ( (c_in @
% 0.58/1.05 (c_Pair @ v_a____ @ v_b____ @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt) @
% 0.58/1.05 (hAPP @ v_P____ @ X0) @
% 0.58/1.05 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt))
% 0.58/1.05 | ~ (c_in @
% 0.58/1.05 (c_Pair @ v_a_H____ @ v_b_H____ @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt) @
% 0.58/1.05 (hAPP @ v_P_H____ @ X0) @
% 0.58/1.05 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt)))),
% 0.58/1.05 inference('cnf', [status(esa)], [cls_A_I5_J_1])).
% 0.58/1.05 thf(cls_A_I5_J_0, axiom,
% 0.58/1.05 (( c_in @
% 0.58/1.05 ( c_Pair @
% 0.58/1.05 v_a_H____ @ v_b_H____ @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt ) @
% 0.58/1.05 ( hAPP @ v_P_H____ @ V_i ) @
% 0.58/1.05 ( tc_prod @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) ) |
% 0.58/1.05 ( ~( c_in @
% 0.58/1.05 ( c_Pair @
% 0.58/1.05 v_a____ @ v_b____ @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt ) @
% 0.58/1.05 ( hAPP @ v_P____ @ V_i ) @
% 0.58/1.05 ( tc_prod @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) ) ))).
% 0.58/1.05 thf(zip_derived_cl4, plain,
% 0.58/1.05 (![X0 : $i]:
% 0.58/1.05 ( (c_in @
% 0.58/1.05 (c_Pair @ v_a_H____ @ v_b_H____ @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt) @
% 0.58/1.05 (hAPP @ v_P_H____ @ X0) @
% 0.58/1.05 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt))
% 0.58/1.05 | ~ (c_in @
% 0.58/1.05 (c_Pair @ v_a____ @ v_b____ @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt) @
% 0.58/1.05 (hAPP @ v_P____ @ X0) @
% 0.58/1.05 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt)))),
% 0.58/1.05 inference('cnf', [status(esa)], [cls_A_I5_J_0])).
% 0.58/1.05 thf(cls_CHAINED_0_02, axiom,
% 0.58/1.05 (c_in @
% 0.58/1.05 v_P____ @ c_Arrow__Order__Mirabelle_OProf @
% 0.58/1.05 ( tc_fun @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oindi @
% 0.58/1.05 ( tc_fun @
% 0.58/1.05 ( tc_prod @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) @
% 0.58/1.05 tc_bool ) ))).
% 0.58/1.05 thf(zip_derived_cl9, plain,
% 0.58/1.05 ( (c_in @ v_P____ @ c_Arrow__Order__Mirabelle_OProf @
% 0.58/1.05 (tc_fun @ tc_Arrow__Order__Mirabelle_Oindi @
% 0.58/1.05 (tc_fun @
% 0.58/1.05 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt) @
% 0.58/1.05 tc_bool)))),
% 0.58/1.05 inference('cnf', [status(esa)], [cls_CHAINED_0_02])).
% 0.58/1.05 thf(cls_CHAINED_0_01, axiom,
% 0.58/1.05 (c_in @
% 0.58/1.05 v_P_H____ @ c_Arrow__Order__Mirabelle_OProf @
% 0.58/1.05 ( tc_fun @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oindi @
% 0.58/1.05 ( tc_fun @
% 0.58/1.05 ( tc_prod @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) @
% 0.58/1.05 tc_bool ) ))).
% 0.58/1.05 thf(zip_derived_cl8, plain,
% 0.58/1.05 ( (c_in @ v_P_H____ @ c_Arrow__Order__Mirabelle_OProf @
% 0.58/1.05 (tc_fun @ tc_Arrow__Order__Mirabelle_Oindi @
% 0.58/1.05 (tc_fun @
% 0.58/1.05 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt) @
% 0.58/1.05 tc_bool)))),
% 0.58/1.05 inference('cnf', [status(esa)], [cls_CHAINED_0_01])).
% 0.58/1.05 thf(cls_conjecture_1, conjecture,
% 0.58/1.05 (~( ( c_in @
% 0.58/1.05 ( c_Pair @
% 0.58/1.05 v_a_H____ @ v_b_H____ @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt ) @
% 0.58/1.05 ( v_F @ v_P_H____ ) @
% 0.58/1.05 ( tc_prod @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) ) |
% 0.58/1.05 ( c_in @
% 0.58/1.05 ( c_Pair @
% 0.58/1.05 v_a____ @ v_b____ @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt ) @
% 0.58/1.05 ( v_F @ v_P____ ) @
% 0.58/1.05 ( tc_prod @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) ) ))).
% 0.58/1.05 thf(zf_stmt_0, negated_conjecture,
% 0.58/1.05 (( c_in @
% 0.58/1.05 ( c_Pair @
% 0.58/1.05 v_a_H____ @ v_b_H____ @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt ) @
% 0.58/1.05 ( v_F @ v_P_H____ ) @
% 0.58/1.05 ( tc_prod @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) ) |
% 0.58/1.05 ( c_in @
% 0.58/1.05 ( c_Pair @
% 0.58/1.05 v_a____ @ v_b____ @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt ) @
% 0.58/1.05 ( v_F @ v_P____ ) @
% 0.58/1.05 ( tc_prod @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) )),
% 0.58/1.05 inference('cnf.neg', [status(esa)], [cls_conjecture_1])).
% 0.58/1.05 thf(zip_derived_cl18, plain,
% 0.58/1.05 (( (c_in @
% 0.58/1.05 (c_Pair @ v_a_H____ @ v_b_H____ @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt) @
% 0.58/1.05 (v_F @ v_P_H____) @
% 0.58/1.05 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt))
% 0.58/1.05 | (c_in @
% 0.58/1.05 (c_Pair @ v_a____ @ v_b____ @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt) @
% 0.58/1.05 (v_F @ v_P____) @
% 0.58/1.05 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt)))),
% 0.58/1.05 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.58/1.05 thf(cls_CHAINED_1_05, axiom,
% 0.58/1.05 (( c_in @
% 0.58/1.05 ( c_Pair @
% 0.58/1.05 V_a @ V_b @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt ) @
% 0.58/1.05 ( v_F @ V_P ) @
% 0.58/1.05 ( tc_prod @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) ) |
% 0.58/1.05 ( ~( c_in @
% 0.58/1.05 ( c_Pair @
% 0.58/1.05 V_a_H @ V_b_H @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt ) @
% 0.58/1.05 ( v_F @ V_P_H ) @
% 0.58/1.05 ( tc_prod @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) ) ) |
% 0.58/1.05 ( c_in @
% 0.58/1.05 ( c_Pair @
% 0.58/1.05 V_a_H @ V_b_H @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt ) @
% 0.58/1.05 ( hAPP @
% 0.58/1.05 V_P_H @
% 0.58/1.05 ( v_sko__CHAINED__1 @ V_P @ V_P_H @ V_a @ V_a_H @ V_b @ V_b_H ) ) @
% 0.58/1.05 ( tc_prod @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) ) |
% 0.58/1.05 ( c_in @
% 0.58/1.05 ( c_Pair @
% 0.58/1.05 V_a @ V_b @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt ) @
% 0.58/1.05 ( hAPP @
% 0.58/1.05 V_P @ ( v_sko__CHAINED__1 @ V_P @ V_P_H @ V_a @ V_a_H @ V_b @ V_b_H ) ) @
% 0.58/1.05 ( tc_prod @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) ) |
% 0.58/1.05 ( ~( c_in @
% 0.58/1.05 V_P_H @ c_Arrow__Order__Mirabelle_OProf @
% 0.58/1.05 ( tc_fun @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oindi @
% 0.58/1.05 ( tc_fun @
% 0.58/1.05 ( tc_prod @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt ) @
% 0.58/1.05 tc_bool ) ) ) ) |
% 0.58/1.05 ( ~( c_in @
% 0.58/1.05 V_P @ c_Arrow__Order__Mirabelle_OProf @
% 0.58/1.05 ( tc_fun @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oindi @
% 0.58/1.05 ( tc_fun @
% 0.58/1.05 ( tc_prod @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt ) @
% 0.58/1.05 tc_bool ) ) ) ) |
% 0.58/1.05 ( ( V_b ) = ( V_a_H ) ) | ( ( V_a ) = ( V_b_H ) ) |
% 0.58/1.05 ( ( V_a_H ) = ( V_b_H ) ) | ( ( V_a ) = ( V_b ) ))).
% 0.58/1.05 thf(zip_derived_cl14, plain,
% 0.58/1.05 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 0.58/1.05 ( (c_in @
% 0.58/1.05 (c_Pair @ X0 @ X1 @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt) @
% 0.58/1.05 (v_F @ X2) @
% 0.58/1.05 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt))
% 0.58/1.05 | ~ (c_in @
% 0.58/1.05 (c_Pair @ X3 @ X4 @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt) @
% 0.58/1.05 (v_F @ X5) @
% 0.58/1.05 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt))
% 0.58/1.05 | (c_in @
% 0.58/1.05 (c_Pair @ X3 @ X4 @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt) @
% 0.58/1.05 (hAPP @ X5 @ (v_sko__CHAINED__1 @ X2 @ X5 @ X0 @ X3 @ X1 @ X4)) @
% 0.58/1.05 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt))
% 0.58/1.05 | (c_in @
% 0.58/1.05 (c_Pair @ X0 @ X1 @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt) @
% 0.58/1.05 (hAPP @ X2 @ (v_sko__CHAINED__1 @ X2 @ X5 @ X0 @ X3 @ X1 @ X4)) @
% 0.58/1.05 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt))
% 0.58/1.05 | ~ (c_in @ X5 @ c_Arrow__Order__Mirabelle_OProf @
% 0.58/1.05 (tc_fun @ tc_Arrow__Order__Mirabelle_Oindi @
% 0.58/1.05 (tc_fun @
% 0.58/1.05 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt) @
% 0.58/1.05 tc_bool)))
% 0.58/1.05 | ~ (c_in @ X2 @ c_Arrow__Order__Mirabelle_OProf @
% 0.58/1.05 (tc_fun @ tc_Arrow__Order__Mirabelle_Oindi @
% 0.58/1.05 (tc_fun @
% 0.58/1.05 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt) @
% 0.58/1.05 tc_bool)))
% 0.58/1.05 | ((X1) = (X3))
% 0.58/1.05 | ((X0) = (X4))
% 0.58/1.05 | ((X3) = (X4))
% 0.58/1.05 | ((X0) = (X1)))),
% 0.58/1.05 inference('cnf', [status(esa)], [cls_CHAINED_1_05])).
% 0.58/1.05 thf(zip_derived_cl50, plain,
% 0.58/1.05 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.58/1.05 ( (c_in @
% 0.58/1.05 (c_Pair @ v_a_H____ @ v_b_H____ @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt) @
% 0.58/1.05 (v_F @ v_P_H____) @
% 0.58/1.05 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt))
% 0.58/1.05 | ((X0) = (X1))
% 0.58/1.05 | ((v_a____) = (v_b____))
% 0.58/1.05 | ((X0) = (v_b____))
% 0.58/1.05 | ((X1) = (v_a____))
% 0.58/1.05 | ~ (c_in @ X2 @ c_Arrow__Order__Mirabelle_OProf @
% 0.58/1.05 (tc_fun @ tc_Arrow__Order__Mirabelle_Oindi @
% 0.58/1.05 (tc_fun @
% 0.58/1.05 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt) @
% 0.58/1.05 tc_bool)))
% 0.58/1.05 | ~ (c_in @ v_P____ @ c_Arrow__Order__Mirabelle_OProf @
% 0.58/1.05 (tc_fun @ tc_Arrow__Order__Mirabelle_Oindi @
% 0.58/1.05 (tc_fun @
% 0.58/1.05 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt) @
% 0.58/1.05 tc_bool)))
% 0.58/1.05 | (c_in @
% 0.58/1.05 (c_Pair @ X0 @ X1 @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt) @
% 0.58/1.05 (hAPP @ X2 @
% 0.58/1.05 (v_sko__CHAINED__1 @ X2 @ v_P____ @ X0 @ v_a____ @ X1 @ v_b____)) @
% 0.58/1.05 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt))
% 0.58/1.05 | (c_in @
% 0.58/1.05 (c_Pair @ v_a____ @ v_b____ @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt) @
% 0.58/1.05 (hAPP @ v_P____ @
% 0.58/1.05 (v_sko__CHAINED__1 @ X2 @ v_P____ @ X0 @ v_a____ @ X1 @ v_b____)) @
% 0.58/1.05 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt))
% 0.58/1.05 | (c_in @
% 0.58/1.05 (c_Pair @ X0 @ X1 @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt) @
% 0.58/1.05 (v_F @ X2) @
% 0.58/1.05 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt)))),
% 0.58/1.05 inference('sup-', [status(thm)], [zip_derived_cl18, zip_derived_cl14])).
% 0.58/1.05 thf(zip_derived_cl9, plain,
% 0.58/1.05 ( (c_in @ v_P____ @ c_Arrow__Order__Mirabelle_OProf @
% 0.58/1.05 (tc_fun @ tc_Arrow__Order__Mirabelle_Oindi @
% 0.58/1.05 (tc_fun @
% 0.58/1.05 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt) @
% 0.58/1.05 tc_bool)))),
% 0.58/1.05 inference('cnf', [status(esa)], [cls_CHAINED_0_02])).
% 0.58/1.05 thf(zip_derived_cl51, plain,
% 0.58/1.05 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.58/1.05 ( (c_in @
% 0.58/1.05 (c_Pair @ v_a_H____ @ v_b_H____ @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt) @
% 0.58/1.05 (v_F @ v_P_H____) @
% 0.58/1.05 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt))
% 0.58/1.05 | ((X0) = (X1))
% 0.58/1.05 | ((v_a____) = (v_b____))
% 0.58/1.05 | ((X0) = (v_b____))
% 0.58/1.05 | ((X1) = (v_a____))
% 0.58/1.05 | ~ (c_in @ X2 @ c_Arrow__Order__Mirabelle_OProf @
% 0.58/1.05 (tc_fun @ tc_Arrow__Order__Mirabelle_Oindi @
% 0.58/1.05 (tc_fun @
% 0.58/1.05 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt) @
% 0.58/1.05 tc_bool)))
% 0.58/1.05 | (c_in @
% 0.58/1.05 (c_Pair @ X0 @ X1 @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt) @
% 0.58/1.05 (hAPP @ X2 @
% 0.58/1.05 (v_sko__CHAINED__1 @ X2 @ v_P____ @ X0 @ v_a____ @ X1 @ v_b____)) @
% 0.58/1.05 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt))
% 0.58/1.05 | (c_in @
% 0.58/1.05 (c_Pair @ v_a____ @ v_b____ @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt) @
% 0.58/1.05 (hAPP @ v_P____ @
% 0.58/1.05 (v_sko__CHAINED__1 @ X2 @ v_P____ @ X0 @ v_a____ @ X1 @ v_b____)) @
% 0.58/1.05 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt))
% 0.58/1.05 | (c_in @
% 0.58/1.05 (c_Pair @ X0 @ X1 @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt) @
% 0.58/1.05 (v_F @ X2) @
% 0.58/1.05 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt)))),
% 0.58/1.05 inference('demod', [status(thm)], [zip_derived_cl50, zip_derived_cl9])).
% 0.58/1.05 thf(cls_A_I1_J_0, axiom, (( v_a____ ) != ( v_b____ ))).
% 0.58/1.05 thf(zip_derived_cl0, plain, (((v_a____) != (v_b____))),
% 0.58/1.05 inference('cnf', [status(esa)], [cls_A_I1_J_0])).
% 0.58/1.05 thf(zip_derived_cl52, plain,
% 0.58/1.05 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.58/1.05 ( (c_in @
% 0.58/1.05 (c_Pair @ v_a_H____ @ v_b_H____ @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt) @
% 0.58/1.05 (v_F @ v_P_H____) @
% 0.58/1.05 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt))
% 0.58/1.05 | ((X0) = (X1))
% 0.58/1.05 | ((X0) = (v_b____))
% 0.58/1.05 | ((X1) = (v_a____))
% 0.58/1.05 | ~ (c_in @ X2 @ c_Arrow__Order__Mirabelle_OProf @
% 0.58/1.05 (tc_fun @ tc_Arrow__Order__Mirabelle_Oindi @
% 0.58/1.05 (tc_fun @
% 0.58/1.05 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt) @
% 0.58/1.05 tc_bool)))
% 0.58/1.05 | (c_in @
% 0.58/1.05 (c_Pair @ X0 @ X1 @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt) @
% 0.58/1.05 (hAPP @ X2 @
% 0.58/1.05 (v_sko__CHAINED__1 @ X2 @ v_P____ @ X0 @ v_a____ @ X1 @ v_b____)) @
% 0.58/1.05 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt))
% 0.58/1.05 | (c_in @
% 0.58/1.05 (c_Pair @ v_a____ @ v_b____ @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt) @
% 0.58/1.05 (hAPP @ v_P____ @
% 0.58/1.05 (v_sko__CHAINED__1 @ X2 @ v_P____ @ X0 @ v_a____ @ X1 @ v_b____)) @
% 0.58/1.05 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt))
% 0.58/1.05 | (c_in @
% 0.58/1.05 (c_Pair @ X0 @ X1 @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt) @
% 0.58/1.05 (v_F @ X2) @
% 0.58/1.05 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt)))),
% 0.58/1.05 inference('simplify_reflect-', [status(thm)],
% 0.58/1.05 [zip_derived_cl51, zip_derived_cl0])).
% 0.58/1.05 thf(zip_derived_cl56, plain,
% 0.58/1.05 (![X0 : $i, X1 : $i]:
% 0.58/1.05 ( (c_in @
% 0.58/1.05 (c_Pair @ X1 @ X0 @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt) @
% 0.58/1.05 (v_F @ v_P_H____) @
% 0.58/1.05 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt))
% 0.58/1.05 | (c_in @
% 0.58/1.05 (c_Pair @ v_a____ @ v_b____ @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt) @
% 0.58/1.05 (hAPP @ v_P____ @
% 0.58/1.05 (v_sko__CHAINED__1 @ v_P_H____ @ v_P____ @ X1 @ v_a____ @ X0 @
% 0.58/1.05 v_b____)) @
% 0.58/1.05 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt))
% 0.58/1.05 | (c_in @
% 0.58/1.05 (c_Pair @ X1 @ X0 @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt) @
% 0.58/1.05 (hAPP @ v_P_H____ @
% 0.58/1.05 (v_sko__CHAINED__1 @ v_P_H____ @ v_P____ @ X1 @ v_a____ @ X0 @
% 0.58/1.05 v_b____)) @
% 0.58/1.05 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt))
% 0.58/1.05 | ((X0) = (v_a____))
% 0.58/1.05 | ((X1) = (v_b____))
% 0.58/1.05 | ((X1) = (X0))
% 0.58/1.05 | (c_in @
% 0.58/1.05 (c_Pair @ v_a_H____ @ v_b_H____ @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt) @
% 0.58/1.05 (v_F @ v_P_H____) @
% 0.58/1.05 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt)))),
% 0.58/1.05 inference('sup-', [status(thm)], [zip_derived_cl8, zip_derived_cl52])).
% 0.58/1.05 thf(zip_derived_cl4, plain,
% 0.58/1.05 (![X0 : $i]:
% 0.58/1.05 ( (c_in @
% 0.58/1.05 (c_Pair @ v_a_H____ @ v_b_H____ @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt) @
% 0.58/1.05 (hAPP @ v_P_H____ @ X0) @
% 0.58/1.05 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt))
% 0.58/1.05 | ~ (c_in @
% 0.58/1.05 (c_Pair @ v_a____ @ v_b____ @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt) @
% 0.58/1.05 (hAPP @ v_P____ @ X0) @
% 0.58/1.05 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt)))),
% 0.58/1.05 inference('cnf', [status(esa)], [cls_A_I5_J_0])).
% 0.58/1.05 thf(zip_derived_cl62, plain,
% 0.58/1.05 (![X0 : $i, X1 : $i]:
% 0.58/1.05 ( (c_in @
% 0.58/1.05 (c_Pair @ v_a_H____ @ v_b_H____ @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt) @
% 0.58/1.05 (v_F @ v_P_H____) @
% 0.58/1.05 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt))
% 0.58/1.05 | ((X1) = (X0))
% 0.58/1.05 | ((X1) = (v_b____))
% 0.58/1.05 | ((X0) = (v_a____))
% 0.58/1.05 | (c_in @
% 0.58/1.05 (c_Pair @ X1 @ X0 @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt) @
% 0.58/1.05 (hAPP @ v_P_H____ @
% 0.58/1.05 (v_sko__CHAINED__1 @ v_P_H____ @ v_P____ @ X1 @ v_a____ @ X0 @
% 0.58/1.05 v_b____)) @
% 0.58/1.05 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt))
% 0.58/1.05 | (c_in @
% 0.58/1.05 (c_Pair @ X1 @ X0 @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt) @
% 0.58/1.05 (v_F @ v_P_H____) @
% 0.58/1.05 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt))
% 0.58/1.05 | (c_in @
% 0.58/1.05 (c_Pair @ v_a_H____ @ v_b_H____ @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt) @
% 0.58/1.05 (hAPP @ v_P_H____ @
% 0.58/1.05 (v_sko__CHAINED__1 @ v_P_H____ @ v_P____ @ X1 @ v_a____ @ X0 @
% 0.58/1.05 v_b____)) @
% 0.58/1.05 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt)))),
% 0.58/1.05 inference('sup-', [status(thm)], [zip_derived_cl56, zip_derived_cl4])).
% 0.58/1.05 thf(zip_derived_cl195, plain,
% 0.58/1.05 (( (c_in @
% 0.58/1.05 (c_Pair @ v_a_H____ @ v_b_H____ @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt) @
% 0.58/1.05 (v_F @ v_P_H____) @
% 0.58/1.05 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt))
% 0.58/1.05 | (c_in @
% 0.58/1.05 (c_Pair @ v_a_H____ @ v_b_H____ @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt) @
% 0.58/1.05 (hAPP @ v_P_H____ @
% 0.58/1.05 (v_sko__CHAINED__1 @ v_P_H____ @ v_P____ @ v_a_H____ @ v_a____ @
% 0.58/1.05 v_b_H____ @ v_b____)) @
% 0.58/1.05 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt))
% 0.58/1.05 | ((v_b_H____) = (v_a____))
% 0.58/1.05 | ((v_a_H____) = (v_b____))
% 0.58/1.05 | ((v_a_H____) = (v_b_H____))
% 0.58/1.05 | (c_in @
% 0.58/1.05 (c_Pair @ v_a_H____ @ v_b_H____ @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt) @
% 0.58/1.05 (v_F @ v_P_H____) @
% 0.58/1.05 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt)))),
% 0.58/1.05 inference('eq_fact', [status(thm)], [zip_derived_cl62])).
% 0.58/1.05 thf(zip_derived_cl197, plain,
% 0.58/1.05 ((((v_a_H____) = (v_b_H____))
% 0.58/1.05 | ((v_a_H____) = (v_b____))
% 0.58/1.05 | ((v_b_H____) = (v_a____))
% 0.58/1.05 | (c_in @
% 0.58/1.05 (c_Pair @ v_a_H____ @ v_b_H____ @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt) @
% 0.58/1.05 (hAPP @ v_P_H____ @
% 0.58/1.05 (v_sko__CHAINED__1 @ v_P_H____ @ v_P____ @ v_a_H____ @ v_a____ @
% 0.58/1.05 v_b_H____ @ v_b____)) @
% 0.58/1.05 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt))
% 0.58/1.05 | (c_in @
% 0.58/1.05 (c_Pair @ v_a_H____ @ v_b_H____ @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt) @
% 0.58/1.05 (v_F @ v_P_H____) @
% 0.58/1.05 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt)))),
% 0.58/1.05 inference('simplify', [status(thm)], [zip_derived_cl195])).
% 0.58/1.05 thf(cls_CHAINED_0_08, axiom, (( v_a____ ) != ( v_b_H____ ))).
% 0.58/1.05 thf(zip_derived_cl17, plain, (((v_a____) != (v_b_H____))),
% 0.58/1.05 inference('cnf', [status(esa)], [cls_CHAINED_0_08])).
% 0.58/1.05 thf(cls_CHAINED_1_07, axiom, (( v_b____ ) != ( v_a_H____ ))).
% 0.58/1.05 thf(zip_derived_cl16, plain, (((v_b____) != (v_a_H____))),
% 0.58/1.05 inference('cnf', [status(esa)], [cls_CHAINED_1_07])).
% 0.58/1.05 thf(cls_A_I2_J_0, axiom, (( v_a_H____ ) != ( v_b_H____ ))).
% 0.58/1.05 thf(zip_derived_cl1, plain, (((v_a_H____) != (v_b_H____))),
% 0.58/1.05 inference('cnf', [status(esa)], [cls_A_I2_J_0])).
% 0.58/1.05 thf(zip_derived_cl198, plain,
% 0.58/1.05 (( (c_in @
% 0.58/1.05 (c_Pair @ v_a_H____ @ v_b_H____ @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt) @
% 0.58/1.05 (hAPP @ v_P_H____ @
% 0.58/1.05 (v_sko__CHAINED__1 @ v_P_H____ @ v_P____ @ v_a_H____ @ v_a____ @
% 0.58/1.05 v_b_H____ @ v_b____)) @
% 0.58/1.05 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt))
% 0.58/1.05 | (c_in @
% 0.58/1.05 (c_Pair @ v_a_H____ @ v_b_H____ @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt) @
% 0.58/1.05 (v_F @ v_P_H____) @
% 0.58/1.05 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt)))),
% 0.58/1.05 inference('simplify_reflect-', [status(thm)],
% 0.58/1.05 [zip_derived_cl197, zip_derived_cl17, zip_derived_cl16,
% 0.58/1.05 zip_derived_cl1])).
% 0.58/1.05 thf(zip_derived_cl5, plain,
% 0.58/1.05 (![X0 : $i]:
% 0.58/1.05 ( (c_in @
% 0.58/1.05 (c_Pair @ v_a____ @ v_b____ @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt) @
% 0.58/1.05 (hAPP @ v_P____ @ X0) @
% 0.58/1.05 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt))
% 0.58/1.05 | ~ (c_in @
% 0.58/1.05 (c_Pair @ v_a_H____ @ v_b_H____ @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt) @
% 0.58/1.05 (hAPP @ v_P_H____ @ X0) @
% 0.58/1.05 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt)))),
% 0.58/1.05 inference('cnf', [status(esa)], [cls_A_I5_J_1])).
% 0.58/1.05 thf(cls_CHAINED_2, axiom,
% 0.58/1.05 (( c_in @
% 0.58/1.05 ( c_Pair @
% 0.58/1.05 V_a_H @ V_b_H @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt ) @
% 0.58/1.05 ( v_F @ V_P_H ) @
% 0.58/1.05 ( tc_prod @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) ) |
% 0.58/1.05 ( ~( c_in @
% 0.58/1.05 ( c_Pair @
% 0.58/1.05 V_a @ V_b @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt ) @
% 0.58/1.05 ( v_F @ V_P ) @
% 0.58/1.05 ( tc_prod @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) ) ) |
% 0.58/1.05 ( ~( c_in @
% 0.58/1.05 ( c_Pair @
% 0.58/1.05 V_a_H @ V_b_H @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt ) @
% 0.58/1.05 ( hAPP @
% 0.58/1.05 V_P_H @
% 0.58/1.05 ( v_sko__CHAINED__1 @ V_P @ V_P_H @ V_a @ V_a_H @ V_b @ V_b_H ) ) @
% 0.58/1.05 ( tc_prod @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) ) ) |
% 0.58/1.05 ( ~( c_in @
% 0.58/1.05 ( c_Pair @
% 0.58/1.05 V_a @ V_b @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt ) @
% 0.58/1.05 ( hAPP @
% 0.58/1.05 V_P @
% 0.58/1.05 ( v_sko__CHAINED__1 @ V_P @ V_P_H @ V_a @ V_a_H @ V_b @ V_b_H ) ) @
% 0.58/1.05 ( tc_prod @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) ) ) |
% 0.58/1.05 ( ~( c_in @
% 0.58/1.05 V_P_H @ c_Arrow__Order__Mirabelle_OProf @
% 0.58/1.05 ( tc_fun @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oindi @
% 0.58/1.05 ( tc_fun @
% 0.58/1.05 ( tc_prod @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt ) @
% 0.58/1.05 tc_bool ) ) ) ) |
% 0.58/1.05 ( ~( c_in @
% 0.58/1.05 V_P @ c_Arrow__Order__Mirabelle_OProf @
% 0.58/1.05 ( tc_fun @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oindi @
% 0.58/1.05 ( tc_fun @
% 0.58/1.05 ( tc_prod @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt ) @
% 0.58/1.05 tc_bool ) ) ) ) |
% 0.58/1.05 ( ( V_b ) = ( V_a_H ) ) | ( ( V_a ) = ( V_b_H ) ) |
% 0.58/1.05 ( ( V_a_H ) = ( V_b_H ) ) | ( ( V_a ) = ( V_b ) ))).
% 0.58/1.05 thf(zip_derived_cl13, plain,
% 0.58/1.05 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 0.58/1.05 ( (c_in @
% 0.58/1.05 (c_Pair @ X0 @ X1 @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt) @
% 0.58/1.05 (v_F @ X2) @
% 0.58/1.05 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt))
% 0.58/1.05 | ~ (c_in @
% 0.58/1.05 (c_Pair @ X3 @ X4 @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt) @
% 0.58/1.05 (v_F @ X5) @
% 0.58/1.05 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt))
% 0.58/1.05 | ~ (c_in @
% 0.58/1.05 (c_Pair @ X0 @ X1 @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt) @
% 0.58/1.05 (hAPP @ X2 @ (v_sko__CHAINED__1 @ X5 @ X2 @ X3 @ X0 @ X4 @ X1)) @
% 0.58/1.05 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt))
% 0.58/1.05 | ~ (c_in @
% 0.58/1.05 (c_Pair @ X3 @ X4 @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt) @
% 0.58/1.05 (hAPP @ X5 @ (v_sko__CHAINED__1 @ X5 @ X2 @ X3 @ X0 @ X4 @ X1)) @
% 0.58/1.05 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt))
% 0.58/1.05 | ~ (c_in @ X2 @ c_Arrow__Order__Mirabelle_OProf @
% 0.58/1.05 (tc_fun @ tc_Arrow__Order__Mirabelle_Oindi @
% 0.58/1.05 (tc_fun @
% 0.58/1.05 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt) @
% 0.58/1.05 tc_bool)))
% 0.58/1.05 | ~ (c_in @ X5 @ c_Arrow__Order__Mirabelle_OProf @
% 0.58/1.05 (tc_fun @ tc_Arrow__Order__Mirabelle_Oindi @
% 0.58/1.05 (tc_fun @
% 0.58/1.05 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt) @
% 0.58/1.05 tc_bool)))
% 0.58/1.05 | ((X4) = (X0))
% 0.58/1.05 | ((X3) = (X1))
% 0.58/1.05 | ((X0) = (X1))
% 0.58/1.05 | ((X3) = (X4)))),
% 0.58/1.05 inference('cnf', [status(esa)], [cls_CHAINED_2])).
% 0.58/1.05 thf(zip_derived_cl42, plain,
% 0.58/1.05 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.58/1.05 (~ (c_in @
% 0.58/1.05 (c_Pair @ v_a_H____ @ v_b_H____ @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt) @
% 0.58/1.05 (hAPP @ v_P_H____ @
% 0.58/1.05 (v_sko__CHAINED__1 @ X2 @ v_P____ @ X1 @ v_a____ @ X0 @ v_b____)) @
% 0.58/1.05 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt))
% 0.58/1.05 | ((X1) = (X0))
% 0.58/1.05 | ((v_a____) = (v_b____))
% 0.58/1.05 | ((X1) = (v_b____))
% 0.58/1.05 | ((X0) = (v_a____))
% 0.58/1.05 | ~ (c_in @ X2 @ c_Arrow__Order__Mirabelle_OProf @
% 0.58/1.05 (tc_fun @ tc_Arrow__Order__Mirabelle_Oindi @
% 0.58/1.05 (tc_fun @
% 0.58/1.05 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt) @
% 0.58/1.05 tc_bool)))
% 0.58/1.05 | ~ (c_in @ v_P____ @ c_Arrow__Order__Mirabelle_OProf @
% 0.58/1.05 (tc_fun @ tc_Arrow__Order__Mirabelle_Oindi @
% 0.58/1.05 (tc_fun @
% 0.58/1.05 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt) @
% 0.58/1.05 tc_bool)))
% 0.58/1.05 | ~ (c_in @
% 0.58/1.05 (c_Pair @ X1 @ X0 @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt) @
% 0.58/1.05 (hAPP @ X2 @
% 0.58/1.05 (v_sko__CHAINED__1 @ X2 @ v_P____ @ X1 @ v_a____ @ X0 @ v_b____)) @
% 0.58/1.05 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt))
% 0.58/1.05 | ~ (c_in @
% 0.58/1.05 (c_Pair @ X1 @ X0 @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt) @
% 0.58/1.05 (v_F @ X2) @
% 0.58/1.05 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt))
% 0.58/1.05 | (c_in @
% 0.58/1.05 (c_Pair @ v_a____ @ v_b____ @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt) @
% 0.58/1.05 (v_F @ v_P____) @
% 0.58/1.05 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt)))),
% 0.58/1.05 inference('sup-', [status(thm)], [zip_derived_cl5, zip_derived_cl13])).
% 0.58/1.05 thf(zip_derived_cl9, plain,
% 0.58/1.05 ( (c_in @ v_P____ @ c_Arrow__Order__Mirabelle_OProf @
% 0.58/1.05 (tc_fun @ tc_Arrow__Order__Mirabelle_Oindi @
% 0.58/1.05 (tc_fun @
% 0.58/1.05 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt) @
% 0.58/1.05 tc_bool)))),
% 0.58/1.05 inference('cnf', [status(esa)], [cls_CHAINED_0_02])).
% 0.58/1.05 thf(zip_derived_cl45, plain,
% 0.58/1.05 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.58/1.05 (~ (c_in @
% 0.58/1.05 (c_Pair @ v_a_H____ @ v_b_H____ @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt) @
% 0.58/1.05 (hAPP @ v_P_H____ @
% 0.58/1.05 (v_sko__CHAINED__1 @ X2 @ v_P____ @ X1 @ v_a____ @ X0 @ v_b____)) @
% 0.58/1.05 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt))
% 0.58/1.05 | ((X1) = (X0))
% 0.58/1.05 | ((v_a____) = (v_b____))
% 0.58/1.05 | ((X1) = (v_b____))
% 0.58/1.05 | ((X0) = (v_a____))
% 0.58/1.05 | ~ (c_in @ X2 @ c_Arrow__Order__Mirabelle_OProf @
% 0.58/1.05 (tc_fun @ tc_Arrow__Order__Mirabelle_Oindi @
% 0.58/1.05 (tc_fun @
% 0.58/1.05 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt) @
% 0.58/1.05 tc_bool)))
% 0.58/1.05 | ~ (c_in @
% 0.58/1.05 (c_Pair @ X1 @ X0 @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt) @
% 0.58/1.05 (hAPP @ X2 @
% 0.58/1.05 (v_sko__CHAINED__1 @ X2 @ v_P____ @ X1 @ v_a____ @ X0 @ v_b____)) @
% 0.58/1.05 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt))
% 0.58/1.05 | ~ (c_in @
% 0.58/1.05 (c_Pair @ X1 @ X0 @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt) @
% 0.58/1.05 (v_F @ X2) @
% 0.58/1.05 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt))
% 0.58/1.05 | (c_in @
% 0.58/1.05 (c_Pair @ v_a____ @ v_b____ @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt) @
% 0.58/1.05 (v_F @ v_P____) @
% 0.58/1.05 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt)))),
% 0.58/1.05 inference('demod', [status(thm)], [zip_derived_cl42, zip_derived_cl9])).
% 0.58/1.05 thf(zip_derived_cl0, plain, (((v_a____) != (v_b____))),
% 0.58/1.05 inference('cnf', [status(esa)], [cls_A_I1_J_0])).
% 0.58/1.05 thf(zip_derived_cl46, plain,
% 0.58/1.05 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.58/1.05 (~ (c_in @
% 0.58/1.05 (c_Pair @ v_a_H____ @ v_b_H____ @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt) @
% 0.58/1.05 (hAPP @ v_P_H____ @
% 0.58/1.05 (v_sko__CHAINED__1 @ X2 @ v_P____ @ X1 @ v_a____ @ X0 @ v_b____)) @
% 0.58/1.05 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt))
% 0.58/1.05 | ((X1) = (X0))
% 0.58/1.05 | ((X1) = (v_b____))
% 0.58/1.05 | ((X0) = (v_a____))
% 0.58/1.05 | ~ (c_in @ X2 @ c_Arrow__Order__Mirabelle_OProf @
% 0.58/1.05 (tc_fun @ tc_Arrow__Order__Mirabelle_Oindi @
% 0.58/1.05 (tc_fun @
% 0.58/1.05 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt) @
% 0.58/1.05 tc_bool)))
% 0.58/1.05 | ~ (c_in @
% 0.58/1.05 (c_Pair @ X1 @ X0 @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt) @
% 0.58/1.05 (hAPP @ X2 @
% 0.58/1.05 (v_sko__CHAINED__1 @ X2 @ v_P____ @ X1 @ v_a____ @ X0 @ v_b____)) @
% 0.58/1.05 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt))
% 0.58/1.05 | ~ (c_in @
% 0.58/1.05 (c_Pair @ X1 @ X0 @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt) @
% 0.58/1.05 (v_F @ X2) @
% 0.58/1.05 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt))
% 0.58/1.05 | (c_in @
% 0.58/1.05 (c_Pair @ v_a____ @ v_b____ @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt) @
% 0.58/1.05 (v_F @ v_P____) @
% 0.58/1.05 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt)))),
% 0.58/1.05 inference('simplify_reflect-', [status(thm)],
% 0.58/1.05 [zip_derived_cl45, zip_derived_cl0])).
% 0.58/1.05 thf(zip_derived_cl47, plain,
% 0.58/1.05 (( (c_in @
% 0.58/1.05 (c_Pair @ v_a____ @ v_b____ @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt) @
% 0.58/1.05 (v_F @ v_P____) @
% 0.58/1.05 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt))
% 0.58/1.05 | ~ (c_in @
% 0.58/1.05 (c_Pair @ v_a_H____ @ v_b_H____ @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt) @
% 0.58/1.05 (v_F @ v_P_H____) @
% 0.58/1.05 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt))
% 0.58/1.05 | ~ (c_in @
% 0.58/1.05 (c_Pair @ v_a_H____ @ v_b_H____ @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt) @
% 0.58/1.05 (hAPP @ v_P_H____ @
% 0.58/1.05 (v_sko__CHAINED__1 @ v_P_H____ @ v_P____ @ v_a_H____ @ v_a____ @
% 0.58/1.05 v_b_H____ @ v_b____)) @
% 0.58/1.05 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt))
% 0.58/1.05 | ~ (c_in @ v_P_H____ @ c_Arrow__Order__Mirabelle_OProf @
% 0.58/1.05 (tc_fun @ tc_Arrow__Order__Mirabelle_Oindi @
% 0.58/1.05 (tc_fun @
% 0.58/1.05 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt) @
% 0.58/1.05 tc_bool)))
% 0.58/1.05 | ((v_b_H____) = (v_a____))
% 0.58/1.05 | ((v_a_H____) = (v_b____))
% 0.58/1.05 | ((v_a_H____) = (v_b_H____)))),
% 0.58/1.05 inference('eq_fact', [status(thm)], [zip_derived_cl46])).
% 0.58/1.05 thf(zip_derived_cl8, plain,
% 0.58/1.05 ( (c_in @ v_P_H____ @ c_Arrow__Order__Mirabelle_OProf @
% 0.58/1.05 (tc_fun @ tc_Arrow__Order__Mirabelle_Oindi @
% 0.58/1.05 (tc_fun @
% 0.58/1.05 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt) @
% 0.58/1.05 tc_bool)))),
% 0.58/1.05 inference('cnf', [status(esa)], [cls_CHAINED_0_01])).
% 0.58/1.05 thf(zip_derived_cl48, plain,
% 0.58/1.05 (( (c_in @
% 0.58/1.05 (c_Pair @ v_a____ @ v_b____ @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt) @
% 0.58/1.05 (v_F @ v_P____) @
% 0.58/1.05 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt))
% 0.58/1.05 | ~ (c_in @
% 0.58/1.05 (c_Pair @ v_a_H____ @ v_b_H____ @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt) @
% 0.58/1.05 (v_F @ v_P_H____) @
% 0.58/1.05 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt))
% 0.58/1.05 | ~ (c_in @
% 0.58/1.05 (c_Pair @ v_a_H____ @ v_b_H____ @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt) @
% 0.58/1.05 (hAPP @ v_P_H____ @
% 0.58/1.05 (v_sko__CHAINED__1 @ v_P_H____ @ v_P____ @ v_a_H____ @ v_a____ @
% 0.58/1.05 v_b_H____ @ v_b____)) @
% 0.58/1.05 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt))
% 0.58/1.05 | ((v_b_H____) = (v_a____))
% 0.58/1.05 | ((v_a_H____) = (v_b____))
% 0.58/1.05 | ((v_a_H____) = (v_b_H____)))),
% 0.58/1.05 inference('demod', [status(thm)], [zip_derived_cl47, zip_derived_cl8])).
% 0.58/1.05 thf(zip_derived_cl1, plain, (((v_a_H____) != (v_b_H____))),
% 0.58/1.05 inference('cnf', [status(esa)], [cls_A_I2_J_0])).
% 0.58/1.05 thf(zip_derived_cl16, plain, (((v_b____) != (v_a_H____))),
% 0.58/1.05 inference('cnf', [status(esa)], [cls_CHAINED_1_07])).
% 0.58/1.05 thf(zip_derived_cl17, plain, (((v_a____) != (v_b_H____))),
% 0.58/1.05 inference('cnf', [status(esa)], [cls_CHAINED_0_08])).
% 0.58/1.05 thf(zip_derived_cl49, plain,
% 0.58/1.05 (( (c_in @
% 0.58/1.05 (c_Pair @ v_a____ @ v_b____ @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt) @
% 0.58/1.05 (v_F @ v_P____) @
% 0.58/1.05 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt))
% 0.58/1.05 | ~ (c_in @
% 0.58/1.05 (c_Pair @ v_a_H____ @ v_b_H____ @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt) @
% 0.58/1.05 (v_F @ v_P_H____) @
% 0.58/1.05 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt))
% 0.58/1.05 | ~ (c_in @
% 0.58/1.05 (c_Pair @ v_a_H____ @ v_b_H____ @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt) @
% 0.58/1.05 (hAPP @ v_P_H____ @
% 0.58/1.05 (v_sko__CHAINED__1 @ v_P_H____ @ v_P____ @ v_a_H____ @ v_a____ @
% 0.58/1.05 v_b_H____ @ v_b____)) @
% 0.58/1.05 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt)))),
% 0.58/1.05 inference('simplify_reflect-', [status(thm)],
% 0.58/1.05 [zip_derived_cl48, zip_derived_cl1, zip_derived_cl16,
% 0.58/1.05 zip_derived_cl17])).
% 0.58/1.05 thf(cls_conjecture_0, conjecture,
% 0.58/1.05 (~( ( ~( c_in @
% 0.58/1.05 ( c_Pair @
% 0.58/1.05 v_a____ @ v_b____ @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt ) @
% 0.58/1.05 ( v_F @ v_P____ ) @
% 0.58/1.05 ( tc_prod @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt ) ) ) |
% 0.58/1.05 ( ~( c_in @
% 0.58/1.05 ( c_Pair @
% 0.58/1.05 v_a_H____ @ v_b_H____ @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt ) @
% 0.58/1.05 ( v_F @ v_P_H____ ) @
% 0.58/1.05 ( tc_prod @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt ) ) ) ))).
% 0.58/1.05 thf(zf_stmt_1, negated_conjecture,
% 0.58/1.05 (( ~( c_in @
% 0.58/1.05 ( c_Pair @
% 0.58/1.05 v_a____ @ v_b____ @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt ) @
% 0.58/1.05 ( v_F @ v_P____ ) @
% 0.58/1.05 ( tc_prod @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) ) ) |
% 0.58/1.05 ( ~( c_in @
% 0.58/1.05 ( c_Pair @
% 0.58/1.05 v_a_H____ @ v_b_H____ @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt ) @
% 0.58/1.05 ( v_F @ v_P_H____ ) @
% 0.58/1.05 ( tc_prod @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) ) )),
% 0.58/1.05 inference('cnf.neg', [status(esa)], [cls_conjecture_0])).
% 0.58/1.05 thf(zip_derived_cl19, plain,
% 0.58/1.05 ((~ (c_in @
% 0.58/1.05 (c_Pair @ v_a____ @ v_b____ @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt) @
% 0.58/1.05 (v_F @ v_P____) @
% 0.58/1.05 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt))
% 0.58/1.05 | ~ (c_in @
% 0.58/1.05 (c_Pair @ v_a_H____ @ v_b_H____ @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt) @
% 0.58/1.05 (v_F @ v_P_H____) @
% 0.58/1.05 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt)))),
% 0.58/1.05 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.58/1.05 thf(zip_derived_cl115, plain,
% 0.58/1.05 ((~ (c_in @
% 0.58/1.05 (c_Pair @ v_a_H____ @ v_b_H____ @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt) @
% 0.58/1.05 (hAPP @ v_P_H____ @
% 0.58/1.05 (v_sko__CHAINED__1 @ v_P_H____ @ v_P____ @ v_a_H____ @ v_a____ @
% 0.58/1.05 v_b_H____ @ v_b____)) @
% 0.58/1.05 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt))
% 0.58/1.05 | ~ (c_in @
% 0.58/1.05 (c_Pair @ v_a_H____ @ v_b_H____ @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt) @
% 0.58/1.05 (v_F @ v_P_H____) @
% 0.58/1.05 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt)))),
% 0.58/1.05 inference('clc', [status(thm)], [zip_derived_cl49, zip_derived_cl19])).
% 0.58/1.05 thf(zip_derived_cl18, plain,
% 0.58/1.05 (( (c_in @
% 0.58/1.05 (c_Pair @ v_a_H____ @ v_b_H____ @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt) @
% 0.58/1.05 (v_F @ v_P_H____) @
% 0.58/1.05 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt))
% 0.58/1.05 | (c_in @
% 0.58/1.05 (c_Pair @ v_a____ @ v_b____ @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt) @
% 0.58/1.05 (v_F @ v_P____) @
% 0.58/1.05 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt)))),
% 0.58/1.05 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.58/1.05 thf(zip_derived_cl5, plain,
% 0.58/1.05 (![X0 : $i]:
% 0.58/1.05 ( (c_in @
% 0.58/1.05 (c_Pair @ v_a____ @ v_b____ @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt) @
% 0.58/1.05 (hAPP @ v_P____ @ X0) @
% 0.58/1.05 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt))
% 0.58/1.05 | ~ (c_in @
% 0.58/1.05 (c_Pair @ v_a_H____ @ v_b_H____ @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt) @
% 0.58/1.05 (hAPP @ v_P_H____ @ X0) @
% 0.58/1.05 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt)))),
% 0.58/1.05 inference('cnf', [status(esa)], [cls_A_I5_J_1])).
% 0.58/1.05 thf(cls_CHAINED_3, axiom,
% 0.58/1.05 (( c_in @
% 0.58/1.05 ( c_Pair @
% 0.58/1.05 V_a @ V_b @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt ) @
% 0.58/1.05 ( v_F @ V_P ) @
% 0.58/1.05 ( tc_prod @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) ) |
% 0.58/1.05 ( ~( c_in @
% 0.58/1.05 ( c_Pair @
% 0.58/1.05 V_a_H @ V_b_H @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt ) @
% 0.58/1.05 ( v_F @ V_P_H ) @
% 0.58/1.05 ( tc_prod @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) ) ) |
% 0.58/1.05 ( ~( c_in @
% 0.58/1.05 ( c_Pair @
% 0.58/1.05 V_a_H @ V_b_H @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt ) @
% 0.58/1.05 ( hAPP @
% 0.58/1.05 V_P_H @
% 0.58/1.05 ( v_sko__CHAINED__1 @ V_P @ V_P_H @ V_a @ V_a_H @ V_b @ V_b_H ) ) @
% 0.58/1.05 ( tc_prod @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) ) ) |
% 0.58/1.05 ( ~( c_in @
% 0.58/1.05 ( c_Pair @
% 0.58/1.05 V_a @ V_b @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt ) @
% 0.58/1.05 ( hAPP @
% 0.58/1.05 V_P @
% 0.58/1.05 ( v_sko__CHAINED__1 @ V_P @ V_P_H @ V_a @ V_a_H @ V_b @ V_b_H ) ) @
% 0.58/1.05 ( tc_prod @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) ) ) |
% 0.58/1.05 ( ~( c_in @
% 0.58/1.05 V_P_H @ c_Arrow__Order__Mirabelle_OProf @
% 0.58/1.05 ( tc_fun @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oindi @
% 0.58/1.05 ( tc_fun @
% 0.58/1.05 ( tc_prod @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt ) @
% 0.58/1.05 tc_bool ) ) ) ) |
% 0.58/1.05 ( ~( c_in @
% 0.58/1.05 V_P @ c_Arrow__Order__Mirabelle_OProf @
% 0.58/1.05 ( tc_fun @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oindi @
% 0.58/1.05 ( tc_fun @
% 0.58/1.05 ( tc_prod @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt ) @
% 0.58/1.05 tc_bool ) ) ) ) |
% 0.58/1.05 ( ( V_b ) = ( V_a_H ) ) | ( ( V_a ) = ( V_b_H ) ) |
% 0.58/1.05 ( ( V_a_H ) = ( V_b_H ) ) | ( ( V_a ) = ( V_b ) ))).
% 0.58/1.05 thf(zip_derived_cl12, plain,
% 0.58/1.05 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 0.58/1.05 ( (c_in @
% 0.58/1.05 (c_Pair @ X0 @ X1 @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt) @
% 0.58/1.05 (v_F @ X2) @
% 0.58/1.05 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt))
% 0.58/1.05 | ~ (c_in @
% 0.58/1.05 (c_Pair @ X3 @ X4 @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt) @
% 0.58/1.05 (v_F @ X5) @
% 0.58/1.05 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt))
% 0.58/1.05 | ~ (c_in @
% 0.58/1.05 (c_Pair @ X3 @ X4 @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt) @
% 0.58/1.05 (hAPP @ X5 @ (v_sko__CHAINED__1 @ X2 @ X5 @ X0 @ X3 @ X1 @ X4)) @
% 0.58/1.05 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt))
% 0.58/1.05 | ~ (c_in @
% 0.58/1.05 (c_Pair @ X0 @ X1 @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt) @
% 0.58/1.05 (hAPP @ X2 @ (v_sko__CHAINED__1 @ X2 @ X5 @ X0 @ X3 @ X1 @ X4)) @
% 0.58/1.05 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt))
% 0.58/1.05 | ~ (c_in @ X5 @ c_Arrow__Order__Mirabelle_OProf @
% 0.58/1.05 (tc_fun @ tc_Arrow__Order__Mirabelle_Oindi @
% 0.58/1.05 (tc_fun @
% 0.58/1.05 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt) @
% 0.58/1.05 tc_bool)))
% 0.58/1.05 | ~ (c_in @ X2 @ c_Arrow__Order__Mirabelle_OProf @
% 0.58/1.05 (tc_fun @ tc_Arrow__Order__Mirabelle_Oindi @
% 0.58/1.05 (tc_fun @
% 0.58/1.05 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt) @
% 0.58/1.05 tc_bool)))
% 0.58/1.05 | ((X1) = (X3))
% 0.58/1.05 | ((X0) = (X4))
% 0.58/1.05 | ((X3) = (X4))
% 0.58/1.05 | ((X0) = (X1)))),
% 0.58/1.05 inference('cnf', [status(esa)], [cls_CHAINED_3])).
% 0.58/1.05 thf(zip_derived_cl27, plain,
% 0.58/1.05 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.58/1.05 (~ (c_in @
% 0.58/1.05 (c_Pair @ v_a_H____ @ v_b_H____ @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt) @
% 0.58/1.05 (hAPP @ v_P_H____ @
% 0.58/1.05 (v_sko__CHAINED__1 @ X2 @ v_P____ @ X1 @ v_a____ @ X0 @ v_b____)) @
% 0.58/1.05 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt))
% 0.58/1.05 | ((X1) = (X0))
% 0.58/1.05 | ((v_a____) = (v_b____))
% 0.58/1.05 | ((X1) = (v_b____))
% 0.58/1.05 | ((X0) = (v_a____))
% 0.58/1.05 | ~ (c_in @ X2 @ c_Arrow__Order__Mirabelle_OProf @
% 0.58/1.05 (tc_fun @ tc_Arrow__Order__Mirabelle_Oindi @
% 0.58/1.05 (tc_fun @
% 0.58/1.05 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt) @
% 0.58/1.05 tc_bool)))
% 0.58/1.05 | ~ (c_in @ v_P____ @ c_Arrow__Order__Mirabelle_OProf @
% 0.58/1.05 (tc_fun @ tc_Arrow__Order__Mirabelle_Oindi @
% 0.58/1.05 (tc_fun @
% 0.58/1.05 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt) @
% 0.58/1.05 tc_bool)))
% 0.58/1.05 | ~ (c_in @
% 0.58/1.05 (c_Pair @ X1 @ X0 @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt) @
% 0.58/1.05 (hAPP @ X2 @
% 0.58/1.05 (v_sko__CHAINED__1 @ X2 @ v_P____ @ X1 @ v_a____ @ X0 @ v_b____)) @
% 0.58/1.05 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt))
% 0.58/1.05 | ~ (c_in @
% 0.58/1.05 (c_Pair @ v_a____ @ v_b____ @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt) @
% 0.58/1.05 (v_F @ v_P____) @
% 0.58/1.05 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt))
% 0.58/1.05 | (c_in @
% 0.58/1.05 (c_Pair @ X1 @ X0 @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt) @
% 0.58/1.05 (v_F @ X2) @
% 0.58/1.05 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt)))),
% 0.58/1.05 inference('sup-', [status(thm)], [zip_derived_cl5, zip_derived_cl12])).
% 0.58/1.05 thf(zip_derived_cl9, plain,
% 0.58/1.05 ( (c_in @ v_P____ @ c_Arrow__Order__Mirabelle_OProf @
% 0.58/1.05 (tc_fun @ tc_Arrow__Order__Mirabelle_Oindi @
% 0.58/1.05 (tc_fun @
% 0.58/1.05 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt) @
% 0.58/1.05 tc_bool)))),
% 0.58/1.05 inference('cnf', [status(esa)], [cls_CHAINED_0_02])).
% 0.58/1.05 thf(zip_derived_cl30, plain,
% 0.58/1.05 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.58/1.05 (~ (c_in @
% 0.58/1.05 (c_Pair @ v_a_H____ @ v_b_H____ @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt) @
% 0.58/1.05 (hAPP @ v_P_H____ @
% 0.58/1.05 (v_sko__CHAINED__1 @ X2 @ v_P____ @ X1 @ v_a____ @ X0 @ v_b____)) @
% 0.58/1.05 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt))
% 0.58/1.05 | ((X1) = (X0))
% 0.58/1.05 | ((v_a____) = (v_b____))
% 0.58/1.05 | ((X1) = (v_b____))
% 0.58/1.05 | ((X0) = (v_a____))
% 0.58/1.05 | ~ (c_in @ X2 @ c_Arrow__Order__Mirabelle_OProf @
% 0.58/1.05 (tc_fun @ tc_Arrow__Order__Mirabelle_Oindi @
% 0.58/1.05 (tc_fun @
% 0.58/1.05 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt) @
% 0.58/1.05 tc_bool)))
% 0.58/1.05 | ~ (c_in @
% 0.58/1.05 (c_Pair @ X1 @ X0 @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt) @
% 0.58/1.05 (hAPP @ X2 @
% 0.58/1.05 (v_sko__CHAINED__1 @ X2 @ v_P____ @ X1 @ v_a____ @ X0 @ v_b____)) @
% 0.58/1.05 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt))
% 0.58/1.05 | ~ (c_in @
% 0.58/1.05 (c_Pair @ v_a____ @ v_b____ @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt) @
% 0.58/1.05 (v_F @ v_P____) @
% 0.58/1.05 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt))
% 0.58/1.05 | (c_in @
% 0.58/1.05 (c_Pair @ X1 @ X0 @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt) @
% 0.58/1.05 (v_F @ X2) @
% 0.58/1.05 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt)))),
% 0.58/1.05 inference('demod', [status(thm)], [zip_derived_cl27, zip_derived_cl9])).
% 0.58/1.05 thf(zip_derived_cl0, plain, (((v_a____) != (v_b____))),
% 0.58/1.05 inference('cnf', [status(esa)], [cls_A_I1_J_0])).
% 0.58/1.05 thf(zip_derived_cl31, plain,
% 0.58/1.05 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.58/1.05 (~ (c_in @
% 0.58/1.05 (c_Pair @ v_a_H____ @ v_b_H____ @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt) @
% 0.58/1.05 (hAPP @ v_P_H____ @
% 0.58/1.05 (v_sko__CHAINED__1 @ X2 @ v_P____ @ X1 @ v_a____ @ X0 @ v_b____)) @
% 0.58/1.05 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt))
% 0.58/1.05 | ((X1) = (X0))
% 0.58/1.05 | ((X1) = (v_b____))
% 0.58/1.05 | ((X0) = (v_a____))
% 0.58/1.05 | ~ (c_in @ X2 @ c_Arrow__Order__Mirabelle_OProf @
% 0.58/1.05 (tc_fun @ tc_Arrow__Order__Mirabelle_Oindi @
% 0.58/1.05 (tc_fun @
% 0.58/1.05 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt) @
% 0.58/1.05 tc_bool)))
% 0.58/1.05 | ~ (c_in @
% 0.58/1.05 (c_Pair @ X1 @ X0 @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt) @
% 0.58/1.05 (hAPP @ X2 @
% 0.58/1.05 (v_sko__CHAINED__1 @ X2 @ v_P____ @ X1 @ v_a____ @ X0 @ v_b____)) @
% 0.58/1.05 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt))
% 0.58/1.05 | ~ (c_in @
% 0.58/1.05 (c_Pair @ v_a____ @ v_b____ @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt) @
% 0.58/1.05 (v_F @ v_P____) @
% 0.58/1.05 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt))
% 0.58/1.05 | (c_in @
% 0.58/1.05 (c_Pair @ X1 @ X0 @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt) @
% 0.58/1.05 (v_F @ X2) @
% 0.58/1.05 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt)))),
% 0.58/1.05 inference('simplify_reflect-', [status(thm)],
% 0.58/1.05 [zip_derived_cl30, zip_derived_cl0])).
% 0.58/1.05 thf(zip_derived_cl32, plain,
% 0.58/1.05 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.58/1.05 ( (c_in @
% 0.58/1.05 (c_Pair @ v_a_H____ @ v_b_H____ @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt) @
% 0.58/1.05 (v_F @ v_P_H____) @
% 0.58/1.05 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt))
% 0.58/1.05 | (c_in @
% 0.58/1.05 (c_Pair @ X2 @ X1 @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt) @
% 0.58/1.05 (v_F @ X0) @
% 0.58/1.05 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt))
% 0.58/1.05 | ~ (c_in @
% 0.58/1.05 (c_Pair @ X2 @ X1 @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt) @
% 0.58/1.05 (hAPP @ X0 @
% 0.58/1.05 (v_sko__CHAINED__1 @ X0 @ v_P____ @ X2 @ v_a____ @ X1 @ v_b____)) @
% 0.58/1.05 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt))
% 0.58/1.05 | ~ (c_in @ X0 @ c_Arrow__Order__Mirabelle_OProf @
% 0.58/1.05 (tc_fun @ tc_Arrow__Order__Mirabelle_Oindi @
% 0.58/1.05 (tc_fun @
% 0.58/1.05 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt) @
% 0.58/1.05 tc_bool)))
% 0.58/1.05 | ((X1) = (v_a____))
% 0.58/1.05 | ((X2) = (v_b____))
% 0.58/1.05 | ((X2) = (X1))
% 0.58/1.05 | ~ (c_in @
% 0.58/1.05 (c_Pair @ v_a_H____ @ v_b_H____ @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt) @
% 0.58/1.05 (hAPP @ v_P_H____ @
% 0.58/1.05 (v_sko__CHAINED__1 @ X0 @ v_P____ @ X2 @ v_a____ @ X1 @ v_b____)) @
% 0.58/1.05 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt)))),
% 0.58/1.05 inference('sup-', [status(thm)], [zip_derived_cl18, zip_derived_cl31])).
% 0.58/1.05 thf(zip_derived_cl34, plain,
% 0.58/1.05 ((~ (c_in @
% 0.58/1.05 (c_Pair @ v_a_H____ @ v_b_H____ @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt) @
% 0.58/1.05 (hAPP @ v_P_H____ @
% 0.58/1.05 (v_sko__CHAINED__1 @ v_P_H____ @ v_P____ @ v_a_H____ @ v_a____ @
% 0.58/1.05 v_b_H____ @ v_b____)) @
% 0.58/1.05 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt))
% 0.58/1.05 | ((v_a_H____) = (v_b_H____))
% 0.58/1.05 | ((v_a_H____) = (v_b____))
% 0.58/1.05 | ((v_b_H____) = (v_a____))
% 0.58/1.05 | ~ (c_in @ v_P_H____ @ c_Arrow__Order__Mirabelle_OProf @
% 0.58/1.05 (tc_fun @ tc_Arrow__Order__Mirabelle_Oindi @
% 0.58/1.05 (tc_fun @
% 0.58/1.05 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt) @
% 0.58/1.05 tc_bool)))
% 0.58/1.05 | (c_in @
% 0.58/1.05 (c_Pair @ v_a_H____ @ v_b_H____ @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt) @
% 0.58/1.05 (v_F @ v_P_H____) @
% 0.58/1.05 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt))
% 0.58/1.05 | (c_in @
% 0.58/1.05 (c_Pair @ v_a_H____ @ v_b_H____ @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt) @
% 0.58/1.05 (v_F @ v_P_H____) @
% 0.58/1.05 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt)))),
% 0.58/1.05 inference('eq_fact', [status(thm)], [zip_derived_cl32])).
% 0.58/1.05 thf(zip_derived_cl35, plain,
% 0.58/1.05 (( (c_in @
% 0.58/1.05 (c_Pair @ v_a_H____ @ v_b_H____ @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt) @
% 0.58/1.05 (v_F @ v_P_H____) @
% 0.58/1.05 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt))
% 0.58/1.05 | ~ (c_in @ v_P_H____ @ c_Arrow__Order__Mirabelle_OProf @
% 0.58/1.05 (tc_fun @ tc_Arrow__Order__Mirabelle_Oindi @
% 0.58/1.05 (tc_fun @
% 0.58/1.05 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt) @
% 0.58/1.05 tc_bool)))
% 0.58/1.05 | ((v_b_H____) = (v_a____))
% 0.58/1.05 | ((v_a_H____) = (v_b____))
% 0.58/1.05 | ((v_a_H____) = (v_b_H____))
% 0.58/1.05 | ~ (c_in @
% 0.58/1.05 (c_Pair @ v_a_H____ @ v_b_H____ @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt) @
% 0.58/1.05 (hAPP @ v_P_H____ @
% 0.58/1.05 (v_sko__CHAINED__1 @ v_P_H____ @ v_P____ @ v_a_H____ @ v_a____ @
% 0.58/1.05 v_b_H____ @ v_b____)) @
% 0.58/1.05 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt)))),
% 0.58/1.05 inference('simplify', [status(thm)], [zip_derived_cl34])).
% 0.58/1.05 thf(zip_derived_cl8, plain,
% 0.58/1.05 ( (c_in @ v_P_H____ @ c_Arrow__Order__Mirabelle_OProf @
% 0.58/1.05 (tc_fun @ tc_Arrow__Order__Mirabelle_Oindi @
% 0.58/1.05 (tc_fun @
% 0.58/1.05 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt) @
% 0.58/1.05 tc_bool)))),
% 0.58/1.05 inference('cnf', [status(esa)], [cls_CHAINED_0_01])).
% 0.58/1.05 thf(zip_derived_cl36, plain,
% 0.58/1.05 (( (c_in @
% 0.58/1.05 (c_Pair @ v_a_H____ @ v_b_H____ @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt) @
% 0.58/1.05 (v_F @ v_P_H____) @
% 0.58/1.05 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt))
% 0.58/1.05 | ((v_b_H____) = (v_a____))
% 0.58/1.05 | ((v_a_H____) = (v_b____))
% 0.58/1.05 | ((v_a_H____) = (v_b_H____))
% 0.58/1.05 | ~ (c_in @
% 0.58/1.05 (c_Pair @ v_a_H____ @ v_b_H____ @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt) @
% 0.58/1.05 (hAPP @ v_P_H____ @
% 0.58/1.05 (v_sko__CHAINED__1 @ v_P_H____ @ v_P____ @ v_a_H____ @ v_a____ @
% 0.58/1.05 v_b_H____ @ v_b____)) @
% 0.58/1.05 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt)))),
% 0.58/1.05 inference('demod', [status(thm)], [zip_derived_cl35, zip_derived_cl8])).
% 0.58/1.05 thf(zip_derived_cl1, plain, (((v_a_H____) != (v_b_H____))),
% 0.58/1.05 inference('cnf', [status(esa)], [cls_A_I2_J_0])).
% 0.58/1.05 thf(zip_derived_cl16, plain, (((v_b____) != (v_a_H____))),
% 0.58/1.05 inference('cnf', [status(esa)], [cls_CHAINED_1_07])).
% 0.58/1.05 thf(zip_derived_cl17, plain, (((v_a____) != (v_b_H____))),
% 0.58/1.05 inference('cnf', [status(esa)], [cls_CHAINED_0_08])).
% 0.58/1.05 thf(zip_derived_cl37, plain,
% 0.58/1.05 (( (c_in @
% 0.58/1.05 (c_Pair @ v_a_H____ @ v_b_H____ @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt) @
% 0.58/1.05 (v_F @ v_P_H____) @
% 0.58/1.05 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt))
% 0.58/1.05 | ~ (c_in @
% 0.58/1.05 (c_Pair @ v_a_H____ @ v_b_H____ @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt) @
% 0.58/1.05 (hAPP @ v_P_H____ @
% 0.58/1.05 (v_sko__CHAINED__1 @ v_P_H____ @ v_P____ @ v_a_H____ @ v_a____ @
% 0.58/1.05 v_b_H____ @ v_b____)) @
% 0.58/1.05 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt)))),
% 0.58/1.05 inference('simplify_reflect-', [status(thm)],
% 0.58/1.05 [zip_derived_cl36, zip_derived_cl1, zip_derived_cl16,
% 0.58/1.05 zip_derived_cl17])).
% 0.58/1.05 thf(zip_derived_cl116, plain,
% 0.58/1.05 (~ (c_in @
% 0.58/1.05 (c_Pair @ v_a_H____ @ v_b_H____ @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt) @
% 0.58/1.05 (hAPP @ v_P_H____ @
% 0.58/1.05 (v_sko__CHAINED__1 @ v_P_H____ @ v_P____ @ v_a_H____ @ v_a____ @
% 0.58/1.05 v_b_H____ @ v_b____)) @
% 0.58/1.05 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt))),
% 0.58/1.05 inference('clc', [status(thm)], [zip_derived_cl115, zip_derived_cl37])).
% 0.58/1.05 thf(zip_derived_cl214, plain,
% 0.58/1.05 ( (c_in @
% 0.58/1.05 (c_Pair @ v_a_H____ @ v_b_H____ @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt) @
% 0.58/1.05 (v_F @ v_P_H____) @
% 0.58/1.05 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt))),
% 0.58/1.05 inference('clc', [status(thm)], [zip_derived_cl198, zip_derived_cl116])).
% 0.58/1.05 thf(zip_derived_cl14, plain,
% 0.58/1.05 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 0.58/1.05 ( (c_in @
% 0.58/1.05 (c_Pair @ X0 @ X1 @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt) @
% 0.58/1.05 (v_F @ X2) @
% 0.58/1.05 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt))
% 0.58/1.05 | ~ (c_in @
% 0.58/1.05 (c_Pair @ X3 @ X4 @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt) @
% 0.58/1.05 (v_F @ X5) @
% 0.58/1.05 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt))
% 0.58/1.05 | (c_in @
% 0.58/1.05 (c_Pair @ X3 @ X4 @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt) @
% 0.58/1.05 (hAPP @ X5 @ (v_sko__CHAINED__1 @ X2 @ X5 @ X0 @ X3 @ X1 @ X4)) @
% 0.58/1.05 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt))
% 0.58/1.05 | (c_in @
% 0.58/1.05 (c_Pair @ X0 @ X1 @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt) @
% 0.58/1.05 (hAPP @ X2 @ (v_sko__CHAINED__1 @ X2 @ X5 @ X0 @ X3 @ X1 @ X4)) @
% 0.58/1.05 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt))
% 0.58/1.05 | ~ (c_in @ X5 @ c_Arrow__Order__Mirabelle_OProf @
% 0.58/1.05 (tc_fun @ tc_Arrow__Order__Mirabelle_Oindi @
% 0.58/1.05 (tc_fun @
% 0.58/1.05 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt) @
% 0.58/1.05 tc_bool)))
% 0.58/1.05 | ~ (c_in @ X2 @ c_Arrow__Order__Mirabelle_OProf @
% 0.58/1.05 (tc_fun @ tc_Arrow__Order__Mirabelle_Oindi @
% 0.58/1.05 (tc_fun @
% 0.58/1.05 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt) @
% 0.58/1.05 tc_bool)))
% 0.58/1.05 | ((X1) = (X3))
% 0.58/1.05 | ((X0) = (X4))
% 0.58/1.05 | ((X3) = (X4))
% 0.58/1.05 | ((X0) = (X1)))),
% 0.58/1.05 inference('cnf', [status(esa)], [cls_CHAINED_1_05])).
% 0.58/1.05 thf(zip_derived_cl216, plain,
% 0.58/1.05 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.58/1.05 (((X0) = (X1))
% 0.58/1.05 | ((v_a_H____) = (v_b_H____))
% 0.58/1.05 | ((X0) = (v_b_H____))
% 0.58/1.05 | ((X1) = (v_a_H____))
% 0.58/1.05 | ~ (c_in @ X2 @ c_Arrow__Order__Mirabelle_OProf @
% 0.58/1.05 (tc_fun @ tc_Arrow__Order__Mirabelle_Oindi @
% 0.58/1.05 (tc_fun @
% 0.58/1.05 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt) @
% 0.58/1.05 tc_bool)))
% 0.58/1.05 | ~ (c_in @ v_P_H____ @ c_Arrow__Order__Mirabelle_OProf @
% 0.58/1.05 (tc_fun @ tc_Arrow__Order__Mirabelle_Oindi @
% 0.58/1.05 (tc_fun @
% 0.58/1.05 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt) @
% 0.58/1.05 tc_bool)))
% 0.58/1.05 | (c_in @
% 0.58/1.05 (c_Pair @ X0 @ X1 @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt) @
% 0.58/1.05 (hAPP @ X2 @
% 0.58/1.05 (v_sko__CHAINED__1 @ X2 @ v_P_H____ @ X0 @ v_a_H____ @ X1 @
% 0.58/1.05 v_b_H____)) @
% 0.58/1.05 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt))
% 0.58/1.05 | (c_in @
% 0.58/1.05 (c_Pair @ v_a_H____ @ v_b_H____ @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt) @
% 0.58/1.05 (hAPP @ v_P_H____ @
% 0.58/1.05 (v_sko__CHAINED__1 @ X2 @ v_P_H____ @ X0 @ v_a_H____ @ X1 @
% 0.58/1.05 v_b_H____)) @
% 0.58/1.05 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt))
% 0.58/1.05 | (c_in @
% 0.58/1.05 (c_Pair @ X0 @ X1 @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt) @
% 0.58/1.05 (v_F @ X2) @
% 0.58/1.05 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt)))),
% 0.58/1.05 inference('sup-', [status(thm)], [zip_derived_cl214, zip_derived_cl14])).
% 0.58/1.05 thf(zip_derived_cl8, plain,
% 0.58/1.05 ( (c_in @ v_P_H____ @ c_Arrow__Order__Mirabelle_OProf @
% 0.58/1.05 (tc_fun @ tc_Arrow__Order__Mirabelle_Oindi @
% 0.58/1.05 (tc_fun @
% 0.58/1.05 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt) @
% 0.58/1.05 tc_bool)))),
% 0.58/1.05 inference('cnf', [status(esa)], [cls_CHAINED_0_01])).
% 0.58/1.05 thf(zip_derived_cl218, plain,
% 0.58/1.05 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.58/1.05 (((X0) = (X1))
% 0.58/1.05 | ((v_a_H____) = (v_b_H____))
% 0.58/1.05 | ((X0) = (v_b_H____))
% 0.58/1.05 | ((X1) = (v_a_H____))
% 0.58/1.05 | ~ (c_in @ X2 @ c_Arrow__Order__Mirabelle_OProf @
% 0.58/1.05 (tc_fun @ tc_Arrow__Order__Mirabelle_Oindi @
% 0.58/1.05 (tc_fun @
% 0.58/1.05 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt) @
% 0.58/1.05 tc_bool)))
% 0.58/1.05 | (c_in @
% 0.58/1.05 (c_Pair @ X0 @ X1 @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt) @
% 0.58/1.05 (hAPP @ X2 @
% 0.58/1.05 (v_sko__CHAINED__1 @ X2 @ v_P_H____ @ X0 @ v_a_H____ @ X1 @
% 0.58/1.05 v_b_H____)) @
% 0.58/1.05 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt))
% 0.58/1.05 | (c_in @
% 0.58/1.05 (c_Pair @ v_a_H____ @ v_b_H____ @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt) @
% 0.58/1.05 (hAPP @ v_P_H____ @
% 0.58/1.05 (v_sko__CHAINED__1 @ X2 @ v_P_H____ @ X0 @ v_a_H____ @ X1 @
% 0.58/1.05 v_b_H____)) @
% 0.58/1.05 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt))
% 0.58/1.05 | (c_in @
% 0.58/1.05 (c_Pair @ X0 @ X1 @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt) @
% 0.58/1.05 (v_F @ X2) @
% 0.58/1.05 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt)))),
% 0.58/1.05 inference('demod', [status(thm)], [zip_derived_cl216, zip_derived_cl8])).
% 0.58/1.05 thf(zip_derived_cl1, plain, (((v_a_H____) != (v_b_H____))),
% 0.58/1.05 inference('cnf', [status(esa)], [cls_A_I2_J_0])).
% 0.58/1.05 thf(zip_derived_cl219, plain,
% 0.58/1.05 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.58/1.05 (((X0) = (X1))
% 0.58/1.05 | ((X0) = (v_b_H____))
% 0.58/1.05 | ((X1) = (v_a_H____))
% 0.58/1.05 | ~ (c_in @ X2 @ c_Arrow__Order__Mirabelle_OProf @
% 0.58/1.05 (tc_fun @ tc_Arrow__Order__Mirabelle_Oindi @
% 0.58/1.05 (tc_fun @
% 0.58/1.05 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt) @
% 0.58/1.05 tc_bool)))
% 0.58/1.05 | (c_in @
% 0.58/1.05 (c_Pair @ X0 @ X1 @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt) @
% 0.58/1.05 (hAPP @ X2 @
% 0.58/1.05 (v_sko__CHAINED__1 @ X2 @ v_P_H____ @ X0 @ v_a_H____ @ X1 @
% 0.58/1.05 v_b_H____)) @
% 0.58/1.05 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt))
% 0.58/1.05 | (c_in @
% 0.58/1.05 (c_Pair @ v_a_H____ @ v_b_H____ @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt) @
% 0.58/1.05 (hAPP @ v_P_H____ @
% 0.58/1.05 (v_sko__CHAINED__1 @ X2 @ v_P_H____ @ X0 @ v_a_H____ @ X1 @
% 0.58/1.05 v_b_H____)) @
% 0.58/1.05 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt))
% 0.58/1.05 | (c_in @
% 0.58/1.05 (c_Pair @ X0 @ X1 @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt) @
% 0.58/1.05 (v_F @ X2) @
% 0.58/1.05 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt)))),
% 0.58/1.05 inference('simplify_reflect-', [status(thm)],
% 0.58/1.05 [zip_derived_cl218, zip_derived_cl1])).
% 0.58/1.05 thf(zip_derived_cl233, plain,
% 0.58/1.05 (![X0 : $i, X1 : $i]:
% 0.58/1.05 ( (c_in @
% 0.58/1.05 (c_Pair @ X1 @ X0 @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt) @
% 0.58/1.05 (v_F @ v_P____) @
% 0.58/1.05 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt))
% 0.58/1.05 | (c_in @
% 0.58/1.05 (c_Pair @ v_a_H____ @ v_b_H____ @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt) @
% 0.58/1.05 (hAPP @ v_P_H____ @
% 0.58/1.05 (v_sko__CHAINED__1 @ v_P____ @ v_P_H____ @ X1 @ v_a_H____ @
% 0.58/1.05 X0 @ v_b_H____)) @
% 0.58/1.05 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt))
% 0.58/1.05 | (c_in @
% 0.58/1.05 (c_Pair @ X1 @ X0 @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt) @
% 0.58/1.05 (hAPP @ v_P____ @
% 0.58/1.05 (v_sko__CHAINED__1 @ v_P____ @ v_P_H____ @ X1 @ v_a_H____ @
% 0.58/1.05 X0 @ v_b_H____)) @
% 0.58/1.05 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt))
% 0.58/1.05 | ((X0) = (v_a_H____))
% 0.58/1.05 | ((X1) = (v_b_H____))
% 0.58/1.05 | ((X1) = (X0)))),
% 0.58/1.05 inference('sup-', [status(thm)], [zip_derived_cl9, zip_derived_cl219])).
% 0.58/1.05 thf(zip_derived_cl260, plain,
% 0.58/1.05 (( (c_in @
% 0.58/1.05 (c_Pair @ v_a_H____ @ v_b_H____ @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt) @
% 0.58/1.05 (hAPP @ v_P_H____ @
% 0.58/1.05 (v_sko__CHAINED__1 @ v_P____ @ v_P_H____ @ v_a____ @ v_a_H____ @
% 0.58/1.05 v_b____ @ v_b_H____)) @
% 0.58/1.05 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt))
% 0.58/1.05 | ((v_a____) = (v_b____))
% 0.58/1.05 | ((v_a____) = (v_b_H____))
% 0.58/1.05 | ((v_b____) = (v_a_H____))
% 0.58/1.05 | (c_in @
% 0.58/1.05 (c_Pair @ v_a_H____ @ v_b_H____ @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt) @
% 0.58/1.05 (hAPP @ v_P_H____ @
% 0.58/1.05 (v_sko__CHAINED__1 @ v_P____ @ v_P_H____ @ v_a____ @ v_a_H____ @
% 0.58/1.05 v_b____ @ v_b_H____)) @
% 0.58/1.05 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt))
% 0.58/1.05 | (c_in @
% 0.58/1.05 (c_Pair @ v_a____ @ v_b____ @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt) @
% 0.58/1.05 (v_F @ v_P____) @
% 0.58/1.05 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt)))),
% 0.58/1.05 inference('sup+', [status(thm)], [zip_derived_cl4, zip_derived_cl233])).
% 0.58/1.05 thf(zip_derived_cl19, plain,
% 0.58/1.05 ((~ (c_in @
% 0.58/1.05 (c_Pair @ v_a____ @ v_b____ @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt) @
% 0.58/1.05 (v_F @ v_P____) @
% 0.58/1.05 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt))
% 0.58/1.05 | ~ (c_in @
% 0.58/1.05 (c_Pair @ v_a_H____ @ v_b_H____ @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt) @
% 0.58/1.05 (v_F @ v_P_H____) @
% 0.58/1.05 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt)))),
% 0.58/1.05 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.58/1.05 thf(zip_derived_cl214, plain,
% 0.58/1.05 ( (c_in @
% 0.58/1.05 (c_Pair @ v_a_H____ @ v_b_H____ @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt) @
% 0.58/1.05 (v_F @ v_P_H____) @
% 0.58/1.05 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt))),
% 0.58/1.05 inference('clc', [status(thm)], [zip_derived_cl198, zip_derived_cl116])).
% 0.58/1.05 thf(zip_derived_cl215, plain,
% 0.58/1.05 (~ (c_in @
% 0.58/1.05 (c_Pair @ v_a____ @ v_b____ @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt) @
% 0.58/1.05 (v_F @ v_P____) @
% 0.58/1.05 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt))),
% 0.58/1.05 inference('demod', [status(thm)], [zip_derived_cl19, zip_derived_cl214])).
% 0.58/1.05 thf(zip_derived_cl261, plain,
% 0.58/1.05 (( (c_in @
% 0.58/1.05 (c_Pair @ v_a_H____ @ v_b_H____ @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt) @
% 0.58/1.05 (hAPP @ v_P_H____ @
% 0.58/1.05 (v_sko__CHAINED__1 @ v_P____ @ v_P_H____ @ v_a____ @ v_a_H____ @
% 0.58/1.05 v_b____ @ v_b_H____)) @
% 0.58/1.05 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt))
% 0.58/1.05 | ((v_a____) = (v_b____))
% 0.58/1.05 | ((v_a____) = (v_b_H____))
% 0.58/1.05 | ((v_b____) = (v_a_H____))
% 0.58/1.05 | (c_in @
% 0.58/1.05 (c_Pair @ v_a_H____ @ v_b_H____ @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt) @
% 0.58/1.05 (hAPP @ v_P_H____ @
% 0.58/1.05 (v_sko__CHAINED__1 @ v_P____ @ v_P_H____ @ v_a____ @ v_a_H____ @
% 0.58/1.05 v_b____ @ v_b_H____)) @
% 0.58/1.05 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt)))),
% 0.58/1.05 inference('demod', [status(thm)], [zip_derived_cl260, zip_derived_cl215])).
% 0.58/1.05 thf(zip_derived_cl262, plain,
% 0.58/1.05 ((((v_b____) = (v_a_H____))
% 0.58/1.05 | ((v_a____) = (v_b_H____))
% 0.58/1.05 | ((v_a____) = (v_b____))
% 0.58/1.05 | (c_in @
% 0.58/1.05 (c_Pair @ v_a_H____ @ v_b_H____ @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt) @
% 0.58/1.05 (hAPP @ v_P_H____ @
% 0.58/1.05 (v_sko__CHAINED__1 @ v_P____ @ v_P_H____ @ v_a____ @ v_a_H____ @
% 0.58/1.05 v_b____ @ v_b_H____)) @
% 0.58/1.05 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt)))),
% 0.58/1.05 inference('simplify', [status(thm)], [zip_derived_cl261])).
% 0.58/1.05 thf(zip_derived_cl0, plain, (((v_a____) != (v_b____))),
% 0.58/1.05 inference('cnf', [status(esa)], [cls_A_I1_J_0])).
% 0.58/1.05 thf(zip_derived_cl17, plain, (((v_a____) != (v_b_H____))),
% 0.58/1.05 inference('cnf', [status(esa)], [cls_CHAINED_0_08])).
% 0.58/1.05 thf(zip_derived_cl16, plain, (((v_b____) != (v_a_H____))),
% 0.58/1.05 inference('cnf', [status(esa)], [cls_CHAINED_1_07])).
% 0.58/1.05 thf(zip_derived_cl263, plain,
% 0.58/1.05 ( (c_in @
% 0.58/1.05 (c_Pair @ v_a_H____ @ v_b_H____ @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt) @
% 0.58/1.05 (hAPP @ v_P_H____ @
% 0.58/1.05 (v_sko__CHAINED__1 @ v_P____ @ v_P_H____ @ v_a____ @ v_a_H____ @
% 0.58/1.05 v_b____ @ v_b_H____)) @
% 0.58/1.05 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt))),
% 0.58/1.05 inference('simplify_reflect-', [status(thm)],
% 0.58/1.05 [zip_derived_cl262, zip_derived_cl0, zip_derived_cl17,
% 0.58/1.05 zip_derived_cl16])).
% 0.58/1.05 thf(zip_derived_cl12, plain,
% 0.58/1.05 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 0.58/1.05 ( (c_in @
% 0.58/1.05 (c_Pair @ X0 @ X1 @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt) @
% 0.58/1.05 (v_F @ X2) @
% 0.58/1.05 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt))
% 0.58/1.05 | ~ (c_in @
% 0.58/1.05 (c_Pair @ X3 @ X4 @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt) @
% 0.58/1.05 (v_F @ X5) @
% 0.58/1.05 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt))
% 0.58/1.05 | ~ (c_in @
% 0.58/1.05 (c_Pair @ X3 @ X4 @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt) @
% 0.58/1.05 (hAPP @ X5 @ (v_sko__CHAINED__1 @ X2 @ X5 @ X0 @ X3 @ X1 @ X4)) @
% 0.58/1.05 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt))
% 0.58/1.05 | ~ (c_in @
% 0.58/1.05 (c_Pair @ X0 @ X1 @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt) @
% 0.58/1.05 (hAPP @ X2 @ (v_sko__CHAINED__1 @ X2 @ X5 @ X0 @ X3 @ X1 @ X4)) @
% 0.58/1.05 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt))
% 0.58/1.05 | ~ (c_in @ X5 @ c_Arrow__Order__Mirabelle_OProf @
% 0.58/1.05 (tc_fun @ tc_Arrow__Order__Mirabelle_Oindi @
% 0.58/1.05 (tc_fun @
% 0.58/1.05 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt) @
% 0.58/1.05 tc_bool)))
% 0.58/1.05 | ~ (c_in @ X2 @ c_Arrow__Order__Mirabelle_OProf @
% 0.58/1.05 (tc_fun @ tc_Arrow__Order__Mirabelle_Oindi @
% 0.58/1.05 (tc_fun @
% 0.58/1.05 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt) @
% 0.58/1.05 tc_bool)))
% 0.58/1.05 | ((X1) = (X3))
% 0.58/1.05 | ((X0) = (X4))
% 0.58/1.05 | ((X3) = (X4))
% 0.58/1.05 | ((X0) = (X1)))),
% 0.58/1.05 inference('cnf', [status(esa)], [cls_CHAINED_3])).
% 0.58/1.05 thf(zip_derived_cl272, plain,
% 0.58/1.05 ((((v_a____) = (v_b____))
% 0.58/1.05 | ((v_a_H____) = (v_b_H____))
% 0.58/1.05 | ((v_a____) = (v_b_H____))
% 0.58/1.05 | ((v_b____) = (v_a_H____))
% 0.58/1.05 | ~ (c_in @ v_P____ @ c_Arrow__Order__Mirabelle_OProf @
% 0.58/1.05 (tc_fun @ tc_Arrow__Order__Mirabelle_Oindi @
% 0.58/1.05 (tc_fun @
% 0.58/1.05 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt) @
% 0.58/1.05 tc_bool)))
% 0.58/1.05 | ~ (c_in @ v_P_H____ @ c_Arrow__Order__Mirabelle_OProf @
% 0.58/1.05 (tc_fun @ tc_Arrow__Order__Mirabelle_Oindi @
% 0.58/1.05 (tc_fun @
% 0.58/1.05 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt) @
% 0.58/1.05 tc_bool)))
% 0.58/1.05 | ~ (c_in @
% 0.58/1.05 (c_Pair @ v_a____ @ v_b____ @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt) @
% 0.58/1.05 (hAPP @ v_P____ @
% 0.58/1.05 (v_sko__CHAINED__1 @ v_P____ @ v_P_H____ @ v_a____ @ v_a_H____ @
% 0.58/1.05 v_b____ @ v_b_H____)) @
% 0.58/1.05 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt))
% 0.58/1.05 | ~ (c_in @
% 0.58/1.05 (c_Pair @ v_a_H____ @ v_b_H____ @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt) @
% 0.58/1.05 (v_F @ v_P_H____) @
% 0.58/1.05 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt))
% 0.58/1.05 | (c_in @
% 0.58/1.05 (c_Pair @ v_a____ @ v_b____ @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt) @
% 0.58/1.05 (v_F @ v_P____) @
% 0.58/1.05 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt)))),
% 0.58/1.05 inference('sup-', [status(thm)], [zip_derived_cl263, zip_derived_cl12])).
% 0.58/1.05 thf(zip_derived_cl9, plain,
% 0.58/1.05 ( (c_in @ v_P____ @ c_Arrow__Order__Mirabelle_OProf @
% 0.58/1.05 (tc_fun @ tc_Arrow__Order__Mirabelle_Oindi @
% 0.58/1.05 (tc_fun @
% 0.58/1.05 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt) @
% 0.58/1.05 tc_bool)))),
% 0.58/1.05 inference('cnf', [status(esa)], [cls_CHAINED_0_02])).
% 0.58/1.05 thf(zip_derived_cl8, plain,
% 0.58/1.05 ( (c_in @ v_P_H____ @ c_Arrow__Order__Mirabelle_OProf @
% 0.58/1.05 (tc_fun @ tc_Arrow__Order__Mirabelle_Oindi @
% 0.58/1.05 (tc_fun @
% 0.58/1.05 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt) @
% 0.58/1.05 tc_bool)))),
% 0.58/1.05 inference('cnf', [status(esa)], [cls_CHAINED_0_01])).
% 0.58/1.05 thf(zip_derived_cl214, plain,
% 0.58/1.05 ( (c_in @
% 0.58/1.05 (c_Pair @ v_a_H____ @ v_b_H____ @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt) @
% 0.58/1.05 (v_F @ v_P_H____) @
% 0.58/1.05 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt))),
% 0.58/1.05 inference('clc', [status(thm)], [zip_derived_cl198, zip_derived_cl116])).
% 0.58/1.05 thf(zip_derived_cl215, plain,
% 0.58/1.05 (~ (c_in @
% 0.58/1.05 (c_Pair @ v_a____ @ v_b____ @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt) @
% 0.58/1.05 (v_F @ v_P____) @
% 0.58/1.05 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt))),
% 0.58/1.05 inference('demod', [status(thm)], [zip_derived_cl19, zip_derived_cl214])).
% 0.58/1.05 thf(zip_derived_cl274, plain,
% 0.58/1.05 ((((v_a____) = (v_b____))
% 0.58/1.05 | ((v_a_H____) = (v_b_H____))
% 0.58/1.05 | ((v_a____) = (v_b_H____))
% 0.58/1.05 | ((v_b____) = (v_a_H____))
% 0.58/1.05 | ~ (c_in @
% 0.58/1.05 (c_Pair @ v_a____ @ v_b____ @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt) @
% 0.58/1.05 (hAPP @ v_P____ @
% 0.58/1.05 (v_sko__CHAINED__1 @ v_P____ @ v_P_H____ @ v_a____ @ v_a_H____ @
% 0.58/1.05 v_b____ @ v_b_H____)) @
% 0.58/1.05 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt)))),
% 0.58/1.05 inference('demod', [status(thm)],
% 0.58/1.05 [zip_derived_cl272, zip_derived_cl9, zip_derived_cl8,
% 0.58/1.05 zip_derived_cl214, zip_derived_cl215])).
% 0.58/1.05 thf(zip_derived_cl16, plain, (((v_b____) != (v_a_H____))),
% 0.58/1.05 inference('cnf', [status(esa)], [cls_CHAINED_1_07])).
% 0.58/1.05 thf(zip_derived_cl17, plain, (((v_a____) != (v_b_H____))),
% 0.58/1.05 inference('cnf', [status(esa)], [cls_CHAINED_0_08])).
% 0.58/1.05 thf(zip_derived_cl1, plain, (((v_a_H____) != (v_b_H____))),
% 0.58/1.05 inference('cnf', [status(esa)], [cls_A_I2_J_0])).
% 0.58/1.05 thf(zip_derived_cl0, plain, (((v_a____) != (v_b____))),
% 0.58/1.05 inference('cnf', [status(esa)], [cls_A_I1_J_0])).
% 0.58/1.05 thf(zip_derived_cl275, plain,
% 0.58/1.05 (~ (c_in @
% 0.58/1.05 (c_Pair @ v_a____ @ v_b____ @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt) @
% 0.58/1.05 (hAPP @ v_P____ @
% 0.58/1.05 (v_sko__CHAINED__1 @ v_P____ @ v_P_H____ @ v_a____ @ v_a_H____ @
% 0.58/1.05 v_b____ @ v_b_H____)) @
% 0.58/1.05 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt))),
% 0.58/1.05 inference('simplify_reflect-', [status(thm)],
% 0.58/1.05 [zip_derived_cl274, zip_derived_cl16, zip_derived_cl17,
% 0.58/1.05 zip_derived_cl1, zip_derived_cl0])).
% 0.58/1.05 thf(zip_derived_cl279, plain,
% 0.58/1.05 (~ (c_in @
% 0.58/1.05 (c_Pair @ v_a_H____ @ v_b_H____ @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt) @
% 0.58/1.05 (hAPP @ v_P_H____ @
% 0.58/1.05 (v_sko__CHAINED__1 @ v_P____ @ v_P_H____ @ v_a____ @ v_a_H____ @
% 0.58/1.05 v_b____ @ v_b_H____)) @
% 0.58/1.05 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt))),
% 0.58/1.05 inference('sup-', [status(thm)], [zip_derived_cl5, zip_derived_cl275])).
% 0.58/1.05 thf(zip_derived_cl263, plain,
% 0.58/1.05 ( (c_in @
% 0.58/1.05 (c_Pair @ v_a_H____ @ v_b_H____ @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt) @
% 0.58/1.05 (hAPP @ v_P_H____ @
% 0.58/1.05 (v_sko__CHAINED__1 @ v_P____ @ v_P_H____ @ v_a____ @ v_a_H____ @
% 0.58/1.05 v_b____ @ v_b_H____)) @
% 0.58/1.05 (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @
% 0.58/1.05 tc_Arrow__Order__Mirabelle_Oalt))),
% 0.58/1.05 inference('simplify_reflect-', [status(thm)],
% 0.58/1.05 [zip_derived_cl262, zip_derived_cl0, zip_derived_cl17,
% 0.58/1.05 zip_derived_cl16])).
% 0.58/1.05 thf(zip_derived_cl282, plain, ($false),
% 0.58/1.05 inference('demod', [status(thm)], [zip_derived_cl279, zip_derived_cl263])).
% 0.58/1.05
% 0.58/1.05 % SZS output end Refutation
% 0.58/1.05
% 0.58/1.05
% 0.58/1.05 % Terminating...
% 3.96/1.22 % Runner terminated.
% 4.01/1.24 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------