TSTP Solution File: SCT022-1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SCT022-1 : TPTP v8.1.2. Released v4.1.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.sSAZwfhbl3 true

% Computer : n003.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 14:26:58 EDT 2023

% Result   : Unsatisfiable 85.43s 12.91s
% Output   : Refutation 85.43s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SCT022-1 : TPTP v8.1.2. Released v4.1.0.
% 0.00/0.13  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.sSAZwfhbl3 true
% 0.12/0.34  % Computer : n003.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.35  % CPULimit : 300
% 0.12/0.35  % WCLimit  : 300
% 0.12/0.35  % DateTime : Thu Aug 24 15:00:08 EDT 2023
% 0.12/0.35  % CPUTime  : 
% 0.12/0.35  % Running portfolio for 300 s
% 0.12/0.35  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.35  % Number of cores: 8
% 0.12/0.35  % Python version: Python 3.6.8
% 0.12/0.35  % Running in FO mode
% 0.21/0.64  % Total configuration time : 435
% 0.21/0.64  % Estimated wc time : 1092
% 0.21/0.64  % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.71  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.71  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.72  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.57/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.57/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.57/0.77  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.57/0.77  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 85.43/12.91  % Solved by fo/fo4.sh.
% 85.43/12.91  % done 3582 iterations in 12.115s
% 85.43/12.91  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 85.43/12.91  % SZS output start Refutation
% 85.43/12.91  thf(v_x_type, type, v_x: $i).
% 85.43/12.91  thf(v_i_type, type, v_i: $i).
% 85.43/12.91  thf(hBOOL_type, type, hBOOL: $i > $o).
% 85.43/12.91  thf(hAPP_type, type, hAPP: $i > $i > $i).
% 85.43/12.91  thf(v_xa_type, type, v_xa: $i).
% 85.43/12.91  thf(v_a_type, type, v_a: $i).
% 85.43/12.91  thf(tc_fun_type, type, tc_fun: $i > $i > $i).
% 85.43/12.91  thf(v_P_type, type, v_P: $i).
% 85.43/12.91  thf(c_Relation_Oirrefl_type, type, c_Relation_Oirrefl: $i > $i > $o).
% 85.43/12.91  thf(c_in_type, type, c_in: $i > $i > $i > $i).
% 85.43/12.91  thf(v_b_type, type, v_b: $i).
% 85.43/12.91  thf(tc_prod_type, type, tc_prod: $i > $i > $i).
% 85.43/12.91  thf(c_Orderings_Otop__class_Otop_type, type, c_Orderings_Otop__class_Otop: 
% 85.43/12.91      $i > $i).
% 85.43/12.91  thf(c_Relation_Otrans_type, type, c_Relation_Otrans: $i > $i > $o).
% 85.43/12.91  thf(tc_Arrow__Order__Mirabelle_Oalt_type, type, tc_Arrow__Order__Mirabelle_Oalt: 
% 85.43/12.91      $i).
% 85.43/12.91  thf(c_Relation_Ototal__on_type, type, c_Relation_Ototal__on: $i > $i > $i > $o).
% 85.43/12.91  thf(tc_bool_type, type, tc_bool: $i).
% 85.43/12.91  thf(v_F_type, type, v_F: $i > $i).
% 85.43/12.91  thf(c_Pair_type, type, c_Pair: $i > $i > $i > $i > $i).
% 85.43/12.91  thf(cls_conjecture_3, conjecture,
% 85.43/12.91    (~( hBOOL @
% 85.43/12.91        ( c_in @
% 85.43/12.91          ( c_Pair @
% 85.43/12.91            v_a @ v_b @ tc_Arrow__Order__Mirabelle_Oalt @ 
% 85.43/12.91            tc_Arrow__Order__Mirabelle_Oalt ) @ 
% 85.43/12.91          ( v_F @ v_P ) @ 
% 85.43/12.91          ( tc_prod @
% 85.43/12.91            tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) ) ))).
% 85.43/12.91  thf(zf_stmt_0, negated_conjecture,
% 85.43/12.91    (hBOOL @
% 85.43/12.91     ( c_in @
% 85.43/12.91       ( c_Pair @
% 85.43/12.91         v_a @ v_b @ tc_Arrow__Order__Mirabelle_Oalt @ 
% 85.43/12.91         tc_Arrow__Order__Mirabelle_Oalt ) @ 
% 85.43/12.91       ( v_F @ v_P ) @ 
% 85.43/12.91       ( tc_prod @
% 85.43/12.91         tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) )),
% 85.43/12.91    inference('cnf.neg', [status(esa)], [cls_conjecture_3])).
% 85.43/12.91  thf(zip_derived_cl48, plain,
% 85.43/12.91      ( (hBOOL @ 
% 85.43/12.91         (c_in @ 
% 85.43/12.91          (c_Pair @ v_a @ v_b @ tc_Arrow__Order__Mirabelle_Oalt @ 
% 85.43/12.91           tc_Arrow__Order__Mirabelle_Oalt) @ 
% 85.43/12.91          (v_F @ v_P) @ 
% 85.43/12.91          (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @ 
% 85.43/12.91           tc_Arrow__Order__Mirabelle_Oalt)))),
% 85.43/12.91      inference('cnf', [status(esa)], [zf_stmt_0])).
% 85.43/12.91  thf(cls_trans__def_0, axiom,
% 85.43/12.91    (( hBOOL @
% 85.43/12.91       ( c_in @
% 85.43/12.91         ( c_Pair @ V_x @ V_z @ T_a @ T_a ) @ V_r @ ( tc_prod @ T_a @ T_a ) ) ) | 
% 85.43/12.91     ( ~( hBOOL @
% 85.43/12.91          ( c_in @
% 85.43/12.91            ( c_Pair @ V_y @ V_z @ T_a @ T_a ) @ V_r @ ( tc_prod @ T_a @ T_a ) ) ) ) | 
% 85.43/12.91     ( ~( hBOOL @
% 85.43/12.91          ( c_in @
% 85.43/12.91            ( c_Pair @ V_x @ V_y @ T_a @ T_a ) @ V_r @ ( tc_prod @ T_a @ T_a ) ) ) ) | 
% 85.43/12.91     ( ~( c_Relation_Otrans @ V_r @ T_a ) ))).
% 85.43/12.91  thf(zip_derived_cl34, plain,
% 85.43/12.91      (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 85.43/12.91         ( (hBOOL @ 
% 85.43/12.91            (c_in @ (c_Pair @ X0 @ X1 @ X2 @ X2) @ X3 @ (tc_prod @ X2 @ X2)))
% 85.43/12.91          | ~ (hBOOL @ 
% 85.43/12.91               (c_in @ (c_Pair @ X4 @ X1 @ X2 @ X2) @ X3 @ (tc_prod @ X2 @ X2)))
% 85.43/12.91          | ~ (hBOOL @ 
% 85.43/12.91               (c_in @ (c_Pair @ X0 @ X4 @ X2 @ X2) @ X3 @ (tc_prod @ X2 @ X2)))
% 85.43/12.91          | ~ (c_Relation_Otrans @ X3 @ X2))),
% 85.43/12.91      inference('cnf', [status(esa)], [cls_trans__def_0])).
% 85.43/12.91  thf(zip_derived_cl107, plain,
% 85.43/12.91      (![X0 : $i]:
% 85.43/12.91         (~ (c_Relation_Otrans @ (v_F @ v_P) @ tc_Arrow__Order__Mirabelle_Oalt)
% 85.43/12.91          | ~ (hBOOL @ 
% 85.43/12.91               (c_in @ 
% 85.43/12.91                (c_Pair @ X0 @ v_a @ tc_Arrow__Order__Mirabelle_Oalt @ 
% 85.43/12.91                 tc_Arrow__Order__Mirabelle_Oalt) @ 
% 85.43/12.91                (v_F @ v_P) @ 
% 85.43/12.91                (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @ 
% 85.43/12.91                 tc_Arrow__Order__Mirabelle_Oalt)))
% 85.43/12.91          |  (hBOOL @ 
% 85.43/12.91              (c_in @ 
% 85.43/12.91               (c_Pair @ X0 @ v_b @ tc_Arrow__Order__Mirabelle_Oalt @ 
% 85.43/12.91                tc_Arrow__Order__Mirabelle_Oalt) @ 
% 85.43/12.91               (v_F @ v_P) @ 
% 85.43/12.91               (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @ 
% 85.43/12.91                tc_Arrow__Order__Mirabelle_Oalt))))),
% 85.43/12.91      inference('sup-', [status(thm)], [zip_derived_cl48, zip_derived_cl34])).
% 85.43/12.91  thf(cls_conjecture_5, conjecture,
% 85.43/12.91    (~( ( ~( c_Relation_Otrans @
% 85.43/12.91             ( hAPP @ v_P @ v_x ) @ tc_Arrow__Order__Mirabelle_Oalt ) ) | 
% 85.43/12.91        ( ~( c_Relation_Oirrefl @
% 85.43/12.91             ( hAPP @ v_P @ v_x ) @ tc_Arrow__Order__Mirabelle_Oalt ) ) | 
% 85.43/12.91        ( ~( c_Relation_Ototal__on @
% 85.43/12.91             ( c_Orderings_Otop__class_Otop @
% 85.43/12.91               ( tc_fun @ tc_Arrow__Order__Mirabelle_Oalt @ tc_bool ) ) @ 
% 85.43/12.91             ( hAPP @ v_P @ v_x ) @ tc_Arrow__Order__Mirabelle_Oalt ) ) | 
% 85.43/12.91        ( c_Relation_Otrans @ ( v_F @ v_P ) @ tc_Arrow__Order__Mirabelle_Oalt ) ))).
% 85.43/12.91  thf(zf_stmt_1, negated_conjecture,
% 85.43/12.91    (( ~( c_Relation_Otrans @
% 85.43/12.91          ( hAPP @ v_P @ v_x ) @ tc_Arrow__Order__Mirabelle_Oalt ) ) | 
% 85.43/12.91     ( ~( c_Relation_Oirrefl @
% 85.43/12.91          ( hAPP @ v_P @ v_x ) @ tc_Arrow__Order__Mirabelle_Oalt ) ) | 
% 85.43/12.91     ( ~( c_Relation_Ototal__on @
% 85.43/12.91          ( c_Orderings_Otop__class_Otop @
% 85.43/12.91            ( tc_fun @ tc_Arrow__Order__Mirabelle_Oalt @ tc_bool ) ) @ 
% 85.43/12.91          ( hAPP @ v_P @ v_x ) @ tc_Arrow__Order__Mirabelle_Oalt ) ) | 
% 85.43/12.91     ( c_Relation_Otrans @ ( v_F @ v_P ) @ tc_Arrow__Order__Mirabelle_Oalt )),
% 85.43/12.91    inference('cnf.neg', [status(esa)], [cls_conjecture_5])).
% 85.43/12.91  thf(zip_derived_cl46, plain,
% 85.43/12.91      ((~ (c_Relation_Otrans @ (hAPP @ v_P @ v_x) @ 
% 85.43/12.91           tc_Arrow__Order__Mirabelle_Oalt)
% 85.43/12.91        | ~ (c_Relation_Oirrefl @ (hAPP @ v_P @ v_x) @ 
% 85.43/12.91             tc_Arrow__Order__Mirabelle_Oalt)
% 85.43/12.91        | ~ (c_Relation_Ototal__on @ 
% 85.43/12.91             (c_Orderings_Otop__class_Otop @ 
% 85.43/12.91              (tc_fun @ tc_Arrow__Order__Mirabelle_Oalt @ tc_bool)) @ 
% 85.43/12.91             (hAPP @ v_P @ v_x) @ tc_Arrow__Order__Mirabelle_Oalt)
% 85.43/12.91        |  (c_Relation_Otrans @ (v_F @ v_P) @ tc_Arrow__Order__Mirabelle_Oalt))),
% 85.43/12.91      inference('cnf', [status(esa)], [zf_stmt_1])).
% 85.43/12.91  thf(cls_conjecture_0, conjecture,
% 85.43/12.91    (~( c_Relation_Otrans @
% 85.43/12.91        ( hAPP @ v_P @ V_x ) @ tc_Arrow__Order__Mirabelle_Oalt ))).
% 85.43/12.91  thf(zf_stmt_2, negated_conjecture,
% 85.43/12.91    (c_Relation_Otrans @ ( hAPP @ v_P @ V_x ) @ tc_Arrow__Order__Mirabelle_Oalt),
% 85.43/12.91    inference('cnf.neg', [status(esa)], [cls_conjecture_0])).
% 85.43/12.91  thf(zip_derived_cl51, plain,
% 85.43/12.91      (![X0 : $i]:
% 85.43/12.91          (c_Relation_Otrans @ (hAPP @ v_P @ X0) @ 
% 85.43/12.91           tc_Arrow__Order__Mirabelle_Oalt)),
% 85.43/12.91      inference('cnf', [status(esa)], [zf_stmt_2])).
% 85.43/12.91  thf(cls_conjecture_1, conjecture,
% 85.43/12.91    (~( c_Relation_Oirrefl @
% 85.43/12.91        ( hAPP @ v_P @ V_x ) @ tc_Arrow__Order__Mirabelle_Oalt ))).
% 85.43/12.91  thf(zf_stmt_3, negated_conjecture,
% 85.43/12.91    (c_Relation_Oirrefl @
% 85.43/12.91     ( hAPP @ v_P @ V_x ) @ tc_Arrow__Order__Mirabelle_Oalt),
% 85.43/12.91    inference('cnf.neg', [status(esa)], [cls_conjecture_1])).
% 85.43/12.91  thf(zip_derived_cl50, plain,
% 85.43/12.91      (![X0 : $i]:
% 85.43/12.91          (c_Relation_Oirrefl @ (hAPP @ v_P @ X0) @ 
% 85.43/12.91           tc_Arrow__Order__Mirabelle_Oalt)),
% 85.43/12.91      inference('cnf', [status(esa)], [zf_stmt_3])).
% 85.43/12.91  thf(zip_derived_cl58, plain,
% 85.43/12.91      ((~ (c_Relation_Ototal__on @ 
% 85.43/12.91           (c_Orderings_Otop__class_Otop @ 
% 85.43/12.91            (tc_fun @ tc_Arrow__Order__Mirabelle_Oalt @ tc_bool)) @ 
% 85.43/12.91           (hAPP @ v_P @ v_x) @ tc_Arrow__Order__Mirabelle_Oalt)
% 85.43/12.91        |  (c_Relation_Otrans @ (v_F @ v_P) @ tc_Arrow__Order__Mirabelle_Oalt))),
% 85.43/12.91      inference('demod', [status(thm)],
% 85.43/12.91                [zip_derived_cl46, zip_derived_cl51, zip_derived_cl50])).
% 85.43/12.91  thf(cls_conjecture_2, conjecture,
% 85.43/12.91    (~( c_Relation_Ototal__on @
% 85.43/12.91        ( c_Orderings_Otop__class_Otop @
% 85.43/12.91          ( tc_fun @ tc_Arrow__Order__Mirabelle_Oalt @ tc_bool ) ) @ 
% 85.43/12.91        ( hAPP @ v_P @ V_x ) @ tc_Arrow__Order__Mirabelle_Oalt ))).
% 85.43/12.91  thf(zf_stmt_4, negated_conjecture,
% 85.43/12.91    (c_Relation_Ototal__on @
% 85.43/12.91     ( c_Orderings_Otop__class_Otop @
% 85.43/12.91       ( tc_fun @ tc_Arrow__Order__Mirabelle_Oalt @ tc_bool ) ) @ 
% 85.43/12.91     ( hAPP @ v_P @ V_x ) @ tc_Arrow__Order__Mirabelle_Oalt),
% 85.43/12.91    inference('cnf.neg', [status(esa)], [cls_conjecture_2])).
% 85.43/12.91  thf(zip_derived_cl49, plain,
% 85.43/12.91      (![X0 : $i]:
% 85.43/12.91          (c_Relation_Ototal__on @ 
% 85.43/12.91           (c_Orderings_Otop__class_Otop @ 
% 85.43/12.91            (tc_fun @ tc_Arrow__Order__Mirabelle_Oalt @ tc_bool)) @ 
% 85.43/12.91           (hAPP @ v_P @ X0) @ tc_Arrow__Order__Mirabelle_Oalt)),
% 85.43/12.91      inference('cnf', [status(esa)], [zf_stmt_4])).
% 85.43/12.91  thf(zip_derived_cl62, plain,
% 85.43/12.91      ( (c_Relation_Otrans @ (v_F @ v_P) @ tc_Arrow__Order__Mirabelle_Oalt)),
% 85.43/12.91      inference('demod', [status(thm)], [zip_derived_cl58, zip_derived_cl49])).
% 85.43/12.91  thf(zip_derived_cl111, plain,
% 85.43/12.91      (![X0 : $i]:
% 85.43/12.91         (~ (hBOOL @ 
% 85.43/12.91             (c_in @ 
% 85.43/12.91              (c_Pair @ X0 @ v_a @ tc_Arrow__Order__Mirabelle_Oalt @ 
% 85.43/12.91               tc_Arrow__Order__Mirabelle_Oalt) @ 
% 85.43/12.91              (v_F @ v_P) @ 
% 85.43/12.91              (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @ 
% 85.43/12.91               tc_Arrow__Order__Mirabelle_Oalt)))
% 85.43/12.91          |  (hBOOL @ 
% 85.43/12.91              (c_in @ 
% 85.43/12.91               (c_Pair @ X0 @ v_b @ tc_Arrow__Order__Mirabelle_Oalt @ 
% 85.43/12.91                tc_Arrow__Order__Mirabelle_Oalt) @ 
% 85.43/12.91               (v_F @ v_P) @ 
% 85.43/12.91               (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @ 
% 85.43/12.91                tc_Arrow__Order__Mirabelle_Oalt))))),
% 85.43/12.91      inference('demod', [status(thm)], [zip_derived_cl107, zip_derived_cl62])).
% 85.43/12.91  thf(cls_mem__def_1, axiom,
% 85.43/12.91    (( hBOOL @ ( c_in @ V_x @ V_S @ T_a ) ) | 
% 85.43/12.91     ( ~( hBOOL @ ( hAPP @ V_S @ V_x ) ) ))).
% 85.43/12.91  thf(zip_derived_cl41, plain,
% 85.43/12.91      (![X0 : $i, X1 : $i, X2 : $i]:
% 85.43/12.91         ( (hBOOL @ (c_in @ X0 @ X1 @ X2)) | ~ (hBOOL @ (hAPP @ X1 @ X0)))),
% 85.43/12.91      inference('cnf', [status(esa)], [cls_mem__def_1])).
% 85.43/12.91  thf(zip_derived_cl115, plain,
% 85.43/12.91      (![X0 : $i]:
% 85.43/12.91         ( (hBOOL @ 
% 85.43/12.91            (c_in @ 
% 85.43/12.91             (c_Pair @ X0 @ v_b @ tc_Arrow__Order__Mirabelle_Oalt @ 
% 85.43/12.91              tc_Arrow__Order__Mirabelle_Oalt) @ 
% 85.43/12.91             (v_F @ v_P) @ 
% 85.43/12.91             (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @ 
% 85.43/12.91              tc_Arrow__Order__Mirabelle_Oalt)))
% 85.43/12.91          | ~ (hBOOL @ 
% 85.43/12.91               (hAPP @ (v_F @ v_P) @ 
% 85.43/12.91                (c_Pair @ X0 @ v_a @ tc_Arrow__Order__Mirabelle_Oalt @ 
% 85.43/12.91                 tc_Arrow__Order__Mirabelle_Oalt))))),
% 85.43/12.91      inference('sup+', [status(thm)], [zip_derived_cl111, zip_derived_cl41])).
% 85.43/12.91  thf(cls_irrefl__def_0, axiom,
% 85.43/12.91    (( ~( hBOOL @
% 85.43/12.91          ( c_in @
% 85.43/12.91            ( c_Pair @ V_x @ V_x @ T_a @ T_a ) @ V_r @ ( tc_prod @ T_a @ T_a ) ) ) ) | 
% 85.43/12.91     ( ~( c_Relation_Oirrefl @ V_r @ T_a ) ))).
% 85.43/12.91  thf(zip_derived_cl36, plain,
% 85.43/12.91      (![X0 : $i, X1 : $i, X2 : $i]:
% 85.43/12.91         (~ (hBOOL @ 
% 85.43/12.91             (c_in @ (c_Pair @ X0 @ X0 @ X1 @ X1) @ X2 @ (tc_prod @ X1 @ X1)))
% 85.43/12.91          | ~ (c_Relation_Oirrefl @ X2 @ X1))),
% 85.43/12.91      inference('cnf', [status(esa)], [cls_irrefl__def_0])).
% 85.43/12.91  thf(zip_derived_cl120, plain,
% 85.43/12.91      ((~ (hBOOL @ 
% 85.43/12.91           (hAPP @ (v_F @ v_P) @ 
% 85.43/12.91            (c_Pair @ v_b @ v_a @ tc_Arrow__Order__Mirabelle_Oalt @ 
% 85.43/12.91             tc_Arrow__Order__Mirabelle_Oalt)))
% 85.43/12.91        | ~ (c_Relation_Oirrefl @ (v_F @ v_P) @ tc_Arrow__Order__Mirabelle_Oalt))),
% 85.43/12.91      inference('sup-', [status(thm)], [zip_derived_cl115, zip_derived_cl36])).
% 85.43/12.91  thf(cls_conjecture_6, conjecture,
% 85.43/12.91    (~( ( ~( c_Relation_Otrans @
% 85.43/12.91             ( hAPP @ v_P @ v_x ) @ tc_Arrow__Order__Mirabelle_Oalt ) ) | 
% 85.43/12.91        ( ~( c_Relation_Oirrefl @
% 85.43/12.91             ( hAPP @ v_P @ v_x ) @ tc_Arrow__Order__Mirabelle_Oalt ) ) | 
% 85.43/12.91        ( ~( c_Relation_Ototal__on @
% 85.43/12.91             ( c_Orderings_Otop__class_Otop @
% 85.43/12.91               ( tc_fun @ tc_Arrow__Order__Mirabelle_Oalt @ tc_bool ) ) @ 
% 85.43/12.91             ( hAPP @ v_P @ v_x ) @ tc_Arrow__Order__Mirabelle_Oalt ) ) | 
% 85.43/12.91        ( c_Relation_Oirrefl @ ( v_F @ v_P ) @ tc_Arrow__Order__Mirabelle_Oalt ) ))).
% 85.43/12.91  thf(zf_stmt_5, negated_conjecture,
% 85.43/12.91    (( ~( c_Relation_Otrans @
% 85.43/12.91          ( hAPP @ v_P @ v_x ) @ tc_Arrow__Order__Mirabelle_Oalt ) ) | 
% 85.43/12.91     ( ~( c_Relation_Oirrefl @
% 85.43/12.91          ( hAPP @ v_P @ v_x ) @ tc_Arrow__Order__Mirabelle_Oalt ) ) | 
% 85.43/12.91     ( ~( c_Relation_Ototal__on @
% 85.43/12.91          ( c_Orderings_Otop__class_Otop @
% 85.43/12.91            ( tc_fun @ tc_Arrow__Order__Mirabelle_Oalt @ tc_bool ) ) @ 
% 85.43/12.91          ( hAPP @ v_P @ v_x ) @ tc_Arrow__Order__Mirabelle_Oalt ) ) | 
% 85.43/12.91     ( c_Relation_Oirrefl @ ( v_F @ v_P ) @ tc_Arrow__Order__Mirabelle_Oalt )),
% 85.43/12.91    inference('cnf.neg', [status(esa)], [cls_conjecture_6])).
% 85.43/12.91  thf(zip_derived_cl45, plain,
% 85.43/12.91      ((~ (c_Relation_Otrans @ (hAPP @ v_P @ v_x) @ 
% 85.43/12.91           tc_Arrow__Order__Mirabelle_Oalt)
% 85.43/12.91        | ~ (c_Relation_Oirrefl @ (hAPP @ v_P @ v_x) @ 
% 85.43/12.91             tc_Arrow__Order__Mirabelle_Oalt)
% 85.43/12.91        | ~ (c_Relation_Ototal__on @ 
% 85.43/12.91             (c_Orderings_Otop__class_Otop @ 
% 85.43/12.91              (tc_fun @ tc_Arrow__Order__Mirabelle_Oalt @ tc_bool)) @ 
% 85.43/12.91             (hAPP @ v_P @ v_x) @ tc_Arrow__Order__Mirabelle_Oalt)
% 85.43/12.91        |  (c_Relation_Oirrefl @ (v_F @ v_P) @ tc_Arrow__Order__Mirabelle_Oalt))),
% 85.43/12.91      inference('cnf', [status(esa)], [zf_stmt_5])).
% 85.43/12.91  thf(zip_derived_cl51, plain,
% 85.43/12.91      (![X0 : $i]:
% 85.43/12.91          (c_Relation_Otrans @ (hAPP @ v_P @ X0) @ 
% 85.43/12.91           tc_Arrow__Order__Mirabelle_Oalt)),
% 85.43/12.91      inference('cnf', [status(esa)], [zf_stmt_2])).
% 85.43/12.91  thf(zip_derived_cl50, plain,
% 85.43/12.91      (![X0 : $i]:
% 85.43/12.91          (c_Relation_Oirrefl @ (hAPP @ v_P @ X0) @ 
% 85.43/12.91           tc_Arrow__Order__Mirabelle_Oalt)),
% 85.43/12.91      inference('cnf', [status(esa)], [zf_stmt_3])).
% 85.43/12.91  thf(zip_derived_cl57, plain,
% 85.43/12.91      ((~ (c_Relation_Ototal__on @ 
% 85.43/12.91           (c_Orderings_Otop__class_Otop @ 
% 85.43/12.91            (tc_fun @ tc_Arrow__Order__Mirabelle_Oalt @ tc_bool)) @ 
% 85.43/12.91           (hAPP @ v_P @ v_x) @ tc_Arrow__Order__Mirabelle_Oalt)
% 85.43/12.91        |  (c_Relation_Oirrefl @ (v_F @ v_P) @ tc_Arrow__Order__Mirabelle_Oalt))),
% 85.43/12.91      inference('demod', [status(thm)],
% 85.43/12.91                [zip_derived_cl45, zip_derived_cl51, zip_derived_cl50])).
% 85.43/12.91  thf(zip_derived_cl49, plain,
% 85.43/12.91      (![X0 : $i]:
% 85.43/12.91          (c_Relation_Ototal__on @ 
% 85.43/12.91           (c_Orderings_Otop__class_Otop @ 
% 85.43/12.91            (tc_fun @ tc_Arrow__Order__Mirabelle_Oalt @ tc_bool)) @ 
% 85.43/12.91           (hAPP @ v_P @ X0) @ tc_Arrow__Order__Mirabelle_Oalt)),
% 85.43/12.91      inference('cnf', [status(esa)], [zf_stmt_4])).
% 85.43/12.91  thf(zip_derived_cl61, plain,
% 85.43/12.91      ( (c_Relation_Oirrefl @ (v_F @ v_P) @ tc_Arrow__Order__Mirabelle_Oalt)),
% 85.43/12.91      inference('demod', [status(thm)], [zip_derived_cl57, zip_derived_cl49])).
% 85.43/12.91  thf(zip_derived_cl122, plain,
% 85.43/12.91      (~ (hBOOL @ 
% 85.43/12.91          (hAPP @ (v_F @ v_P) @ 
% 85.43/12.91           (c_Pair @ v_b @ v_a @ tc_Arrow__Order__Mirabelle_Oalt @ 
% 85.43/12.91            tc_Arrow__Order__Mirabelle_Oalt)))),
% 85.43/12.91      inference('demod', [status(thm)], [zip_derived_cl120, zip_derived_cl61])).
% 85.43/12.91  thf(zip_derived_cl49, plain,
% 85.43/12.91      (![X0 : $i]:
% 85.43/12.91          (c_Relation_Ototal__on @ 
% 85.43/12.91           (c_Orderings_Otop__class_Otop @ 
% 85.43/12.91            (tc_fun @ tc_Arrow__Order__Mirabelle_Oalt @ tc_bool)) @ 
% 85.43/12.91           (hAPP @ v_P @ X0) @ tc_Arrow__Order__Mirabelle_Oalt)),
% 85.43/12.91      inference('cnf', [status(esa)], [zf_stmt_4])).
% 85.43/12.91  thf(cls_UNIV__I_0, axiom,
% 85.43/12.91    (hBOOL @
% 85.43/12.91     ( c_in @
% 85.43/12.91       V_x @ ( c_Orderings_Otop__class_Otop @ ( tc_fun @ T_a @ tc_bool ) ) @ 
% 85.43/12.91       T_a ))).
% 85.43/12.91  thf(zip_derived_cl39, plain,
% 85.43/12.91      (![X0 : $i, X1 : $i]:
% 85.43/12.91          (hBOOL @ 
% 85.43/12.91           (c_in @ X0 @ 
% 85.43/12.91            (c_Orderings_Otop__class_Otop @ (tc_fun @ X1 @ tc_bool)) @ X1))),
% 85.43/12.91      inference('cnf', [status(esa)], [cls_UNIV__I_0])).
% 85.43/12.91  thf(cls_total__on__def_0, axiom,
% 85.43/12.91    (( hBOOL @
% 85.43/12.91       ( c_in @
% 85.43/12.91         ( c_Pair @ V_xa @ V_x @ T_a @ T_a ) @ V_r @ ( tc_prod @ T_a @ T_a ) ) ) | 
% 85.43/12.91     ( hBOOL @
% 85.43/12.91       ( c_in @
% 85.43/12.91         ( c_Pair @ V_x @ V_xa @ T_a @ T_a ) @ V_r @ ( tc_prod @ T_a @ T_a ) ) ) | 
% 85.43/12.91     ( ( V_x ) = ( V_xa ) ) | ( ~( hBOOL @ ( c_in @ V_xa @ V_A @ T_a ) ) ) | 
% 85.43/12.91     ( ~( hBOOL @ ( c_in @ V_x @ V_A @ T_a ) ) ) | 
% 85.43/12.91     ( ~( c_Relation_Ototal__on @ V_A @ V_r @ T_a ) ))).
% 85.43/12.91  thf(zip_derived_cl40, plain,
% 85.43/12.91      (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 85.43/12.91         ( (hBOOL @ 
% 85.43/12.91            (c_in @ (c_Pair @ X0 @ X1 @ X2 @ X2) @ X3 @ (tc_prod @ X2 @ X2)))
% 85.43/12.91          |  (hBOOL @ 
% 85.43/12.91              (c_in @ (c_Pair @ X1 @ X0 @ X2 @ X2) @ X3 @ (tc_prod @ X2 @ X2)))
% 85.43/12.91          | ((X1) = (X0))
% 85.43/12.91          | ~ (hBOOL @ (c_in @ X0 @ X4 @ X2))
% 85.43/12.91          | ~ (hBOOL @ (c_in @ X1 @ X4 @ X2))
% 85.43/12.91          | ~ (c_Relation_Ototal__on @ X4 @ X3 @ X2))),
% 85.43/12.91      inference('cnf', [status(esa)], [cls_total__on__def_0])).
% 85.43/12.91  thf(zip_derived_cl297, plain,
% 85.43/12.91      (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 85.43/12.91         (~ (c_Relation_Ototal__on @ 
% 85.43/12.91             (c_Orderings_Otop__class_Otop @ (tc_fun @ X0 @ tc_bool)) @ X2 @ X0)
% 85.43/12.91          | ~ (hBOOL @ 
% 85.43/12.91               (c_in @ X3 @ 
% 85.43/12.91                (c_Orderings_Otop__class_Otop @ (tc_fun @ X0 @ tc_bool)) @ X0))
% 85.43/12.91          | ((X3) = (X1))
% 85.43/12.91          |  (hBOOL @ 
% 85.43/12.91              (c_in @ (c_Pair @ X3 @ X1 @ X0 @ X0) @ X2 @ (tc_prod @ X0 @ X0)))
% 85.43/12.91          |  (hBOOL @ 
% 85.43/12.91              (c_in @ (c_Pair @ X1 @ X3 @ X0 @ X0) @ X2 @ (tc_prod @ X0 @ X0))))),
% 85.43/12.91      inference('sup-', [status(thm)], [zip_derived_cl39, zip_derived_cl40])).
% 85.43/12.91  thf(zip_derived_cl39, plain,
% 85.43/12.91      (![X0 : $i, X1 : $i]:
% 85.43/12.91          (hBOOL @ 
% 85.43/12.91           (c_in @ X0 @ 
% 85.43/12.91            (c_Orderings_Otop__class_Otop @ (tc_fun @ X1 @ tc_bool)) @ X1))),
% 85.43/12.91      inference('cnf', [status(esa)], [cls_UNIV__I_0])).
% 85.43/12.91  thf(zip_derived_cl303, plain,
% 85.43/12.91      (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 85.43/12.91         (~ (c_Relation_Ototal__on @ 
% 85.43/12.91             (c_Orderings_Otop__class_Otop @ (tc_fun @ X0 @ tc_bool)) @ X2 @ X0)
% 85.43/12.91          | ((X3) = (X1))
% 85.43/12.91          |  (hBOOL @ 
% 85.43/12.91              (c_in @ (c_Pair @ X3 @ X1 @ X0 @ X0) @ X2 @ (tc_prod @ X0 @ X0)))
% 85.43/12.91          |  (hBOOL @ 
% 85.43/12.91              (c_in @ (c_Pair @ X1 @ X3 @ X0 @ X0) @ X2 @ (tc_prod @ X0 @ X0))))),
% 85.43/12.91      inference('demod', [status(thm)], [zip_derived_cl297, zip_derived_cl39])).
% 85.43/12.91  thf(zip_derived_cl636, plain,
% 85.43/12.91      (![X0 : $i, X1 : $i, X2 : $i]:
% 85.43/12.91         ( (hBOOL @ 
% 85.43/12.91            (c_in @ 
% 85.43/12.91             (c_Pair @ X2 @ X1 @ tc_Arrow__Order__Mirabelle_Oalt @ 
% 85.43/12.91              tc_Arrow__Order__Mirabelle_Oalt) @ 
% 85.43/12.91             (hAPP @ v_P @ X0) @ 
% 85.43/12.91             (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @ 
% 85.43/12.91              tc_Arrow__Order__Mirabelle_Oalt)))
% 85.43/12.91          |  (hBOOL @ 
% 85.43/12.91              (c_in @ 
% 85.43/12.91               (c_Pair @ X1 @ X2 @ tc_Arrow__Order__Mirabelle_Oalt @ 
% 85.43/12.91                tc_Arrow__Order__Mirabelle_Oalt) @ 
% 85.43/12.91               (hAPP @ v_P @ X0) @ 
% 85.43/12.91               (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @ 
% 85.43/12.91                tc_Arrow__Order__Mirabelle_Oalt)))
% 85.43/12.91          | ((X1) = (X2)))),
% 85.43/12.91      inference('sup-', [status(thm)], [zip_derived_cl49, zip_derived_cl303])).
% 85.43/12.91  thf(cls_conjecture_4, conjecture,
% 85.43/12.91    (hBOOL @
% 85.43/12.91     ( c_in @
% 85.43/12.91       ( c_Pair @
% 85.43/12.91         v_a @ v_b @ tc_Arrow__Order__Mirabelle_Oalt @ 
% 85.43/12.91         tc_Arrow__Order__Mirabelle_Oalt ) @ 
% 85.43/12.91       ( hAPP @ v_P @ v_i ) @ 
% 85.43/12.91       ( tc_prod @
% 85.43/12.91         tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) ))).
% 85.43/12.91  thf(zf_stmt_6, negated_conjecture,
% 85.43/12.91    (~( hBOOL @
% 85.43/12.91        ( c_in @
% 85.43/12.91          ( c_Pair @
% 85.43/12.91            v_a @ v_b @ tc_Arrow__Order__Mirabelle_Oalt @ 
% 85.43/12.91            tc_Arrow__Order__Mirabelle_Oalt ) @ 
% 85.43/12.91          ( hAPP @ v_P @ v_i ) @ 
% 85.43/12.91          ( tc_prod @
% 85.43/12.91            tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) ) )),
% 85.43/12.91    inference('cnf.neg', [status(esa)], [cls_conjecture_4])).
% 85.43/12.91  thf(zip_derived_cl47, plain,
% 85.43/12.91      (~ (hBOOL @ 
% 85.43/12.91          (c_in @ 
% 85.43/12.91           (c_Pair @ v_a @ v_b @ tc_Arrow__Order__Mirabelle_Oalt @ 
% 85.43/12.91            tc_Arrow__Order__Mirabelle_Oalt) @ 
% 85.43/12.91           (hAPP @ v_P @ v_i) @ 
% 85.43/12.91           (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @ 
% 85.43/12.91            tc_Arrow__Order__Mirabelle_Oalt)))),
% 85.43/12.91      inference('cnf', [status(esa)], [zf_stmt_6])).
% 85.43/12.91  thf(zip_derived_cl29130, plain,
% 85.43/12.91      ((((v_b) = (v_a))
% 85.43/12.91        |  (hBOOL @ 
% 85.43/12.91            (c_in @ 
% 85.43/12.91             (c_Pair @ v_b @ v_a @ tc_Arrow__Order__Mirabelle_Oalt @ 
% 85.43/12.91              tc_Arrow__Order__Mirabelle_Oalt) @ 
% 85.43/12.91             (hAPP @ v_P @ v_i) @ 
% 85.43/12.91             (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @ 
% 85.43/12.91              tc_Arrow__Order__Mirabelle_Oalt))))),
% 85.43/12.91      inference('sup-', [status(thm)], [zip_derived_cl636, zip_derived_cl47])).
% 85.43/12.91  thf(cls_conjecture_8, conjecture,
% 85.43/12.91    (~( ( ~( c_Relation_Otrans @
% 85.43/12.91             ( hAPP @ v_P @ v_xa ) @ tc_Arrow__Order__Mirabelle_Oalt ) ) | 
% 85.43/12.91        ( ~( c_Relation_Oirrefl @
% 85.43/12.91             ( hAPP @ v_P @ v_xa ) @ tc_Arrow__Order__Mirabelle_Oalt ) ) | 
% 85.43/12.91        ( ~( c_Relation_Ototal__on @
% 85.43/12.91             ( c_Orderings_Otop__class_Otop @
% 85.43/12.91               ( tc_fun @ tc_Arrow__Order__Mirabelle_Oalt @ tc_bool ) ) @ 
% 85.43/12.91             ( hAPP @ v_P @ v_xa ) @ tc_Arrow__Order__Mirabelle_Oalt ) ) | 
% 85.43/12.91        ( ( V_a ) = ( V_b ) ) | 
% 85.43/12.91        ( ~( hBOOL @
% 85.43/12.91             ( c_in @
% 85.43/12.91               ( c_Pair @
% 85.43/12.91                 V_a @ V_b @ tc_Arrow__Order__Mirabelle_Oalt @ 
% 85.43/12.91                 tc_Arrow__Order__Mirabelle_Oalt ) @ 
% 85.43/12.91               ( hAPP @ v_P @ v_i ) @ 
% 85.43/12.91               ( tc_prod @
% 85.43/12.91                 tc_Arrow__Order__Mirabelle_Oalt @ 
% 85.43/12.91                 tc_Arrow__Order__Mirabelle_Oalt ) ) ) ) | 
% 85.43/12.91        ( hBOOL @
% 85.43/12.91          ( c_in @
% 85.43/12.91            ( c_Pair @
% 85.43/12.91              V_a @ V_b @ tc_Arrow__Order__Mirabelle_Oalt @ 
% 85.43/12.91              tc_Arrow__Order__Mirabelle_Oalt ) @ 
% 85.43/12.91            ( v_F @ v_P ) @ 
% 85.43/12.91            ( tc_prod @
% 85.43/12.91              tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) ) ) ))).
% 85.43/12.91  thf(zf_stmt_7, negated_conjecture,
% 85.43/12.91    (( ~( c_Relation_Otrans @
% 85.43/12.91          ( hAPP @ v_P @ v_xa ) @ tc_Arrow__Order__Mirabelle_Oalt ) ) | 
% 85.43/12.91     ( ~( c_Relation_Oirrefl @
% 85.43/12.91          ( hAPP @ v_P @ v_xa ) @ tc_Arrow__Order__Mirabelle_Oalt ) ) | 
% 85.43/12.91     ( ~( c_Relation_Ototal__on @
% 85.43/12.91          ( c_Orderings_Otop__class_Otop @
% 85.43/12.91            ( tc_fun @ tc_Arrow__Order__Mirabelle_Oalt @ tc_bool ) ) @ 
% 85.43/12.91          ( hAPP @ v_P @ v_xa ) @ tc_Arrow__Order__Mirabelle_Oalt ) ) | 
% 85.43/12.91     ( ( V_a ) = ( V_b ) ) | 
% 85.43/12.91     ( ~( hBOOL @
% 85.43/12.91          ( c_in @
% 85.43/12.91            ( c_Pair @
% 85.43/12.91              V_a @ V_b @ tc_Arrow__Order__Mirabelle_Oalt @ 
% 85.43/12.91              tc_Arrow__Order__Mirabelle_Oalt ) @ 
% 85.43/12.91            ( hAPP @ v_P @ v_i ) @ 
% 85.43/12.91            ( tc_prod @
% 85.43/12.91              tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) ) ) ) | 
% 85.43/12.91     ( hBOOL @
% 85.43/12.91       ( c_in @
% 85.43/12.91         ( c_Pair @
% 85.43/12.91           V_a @ V_b @ tc_Arrow__Order__Mirabelle_Oalt @ 
% 85.43/12.91           tc_Arrow__Order__Mirabelle_Oalt ) @ 
% 85.43/12.91         ( v_F @ v_P ) @ 
% 85.43/12.91         ( tc_prod @
% 85.43/12.91           tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) ) )),
% 85.43/12.91    inference('cnf.neg', [status(esa)], [cls_conjecture_8])).
% 85.43/12.91  thf(zip_derived_cl43, plain,
% 85.43/12.91      (![X0 : $i, X1 : $i]:
% 85.43/12.91         (~ (c_Relation_Otrans @ (hAPP @ v_P @ v_xa) @ 
% 85.43/12.91             tc_Arrow__Order__Mirabelle_Oalt)
% 85.43/12.91          | ~ (c_Relation_Oirrefl @ (hAPP @ v_P @ v_xa) @ 
% 85.43/12.91               tc_Arrow__Order__Mirabelle_Oalt)
% 85.43/12.91          | ~ (c_Relation_Ototal__on @ 
% 85.43/12.91               (c_Orderings_Otop__class_Otop @ 
% 85.43/12.91                (tc_fun @ tc_Arrow__Order__Mirabelle_Oalt @ tc_bool)) @ 
% 85.43/12.91               (hAPP @ v_P @ v_xa) @ tc_Arrow__Order__Mirabelle_Oalt)
% 85.43/12.91          | ((X1) = (X0))
% 85.43/12.91          | ~ (hBOOL @ 
% 85.43/12.91               (c_in @ 
% 85.43/12.91                (c_Pair @ X1 @ X0 @ tc_Arrow__Order__Mirabelle_Oalt @ 
% 85.43/12.91                 tc_Arrow__Order__Mirabelle_Oalt) @ 
% 85.43/12.91                (hAPP @ v_P @ v_i) @ 
% 85.43/12.91                (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @ 
% 85.43/12.91                 tc_Arrow__Order__Mirabelle_Oalt)))
% 85.43/12.91          |  (hBOOL @ 
% 85.43/12.91              (c_in @ 
% 85.43/12.91               (c_Pair @ X1 @ X0 @ tc_Arrow__Order__Mirabelle_Oalt @ 
% 85.43/12.91                tc_Arrow__Order__Mirabelle_Oalt) @ 
% 85.43/12.91               (v_F @ v_P) @ 
% 85.43/12.91               (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @ 
% 85.43/12.91                tc_Arrow__Order__Mirabelle_Oalt))))),
% 85.43/12.91      inference('cnf', [status(esa)], [zf_stmt_7])).
% 85.43/12.91  thf(zip_derived_cl51, plain,
% 85.43/12.91      (![X0 : $i]:
% 85.43/12.91          (c_Relation_Otrans @ (hAPP @ v_P @ X0) @ 
% 85.43/12.91           tc_Arrow__Order__Mirabelle_Oalt)),
% 85.43/12.91      inference('cnf', [status(esa)], [zf_stmt_2])).
% 85.43/12.91  thf(zip_derived_cl50, plain,
% 85.43/12.91      (![X0 : $i]:
% 85.43/12.91          (c_Relation_Oirrefl @ (hAPP @ v_P @ X0) @ 
% 85.43/12.91           tc_Arrow__Order__Mirabelle_Oalt)),
% 85.43/12.91      inference('cnf', [status(esa)], [zf_stmt_3])).
% 85.43/12.91  thf(zip_derived_cl49, plain,
% 85.43/12.91      (![X0 : $i]:
% 85.43/12.91          (c_Relation_Ototal__on @ 
% 85.43/12.91           (c_Orderings_Otop__class_Otop @ 
% 85.43/12.91            (tc_fun @ tc_Arrow__Order__Mirabelle_Oalt @ tc_bool)) @ 
% 85.43/12.91           (hAPP @ v_P @ X0) @ tc_Arrow__Order__Mirabelle_Oalt)),
% 85.43/12.91      inference('cnf', [status(esa)], [zf_stmt_4])).
% 85.43/12.91  thf(zip_derived_cl305, plain,
% 85.43/12.91      (![X0 : $i, X1 : $i]:
% 85.43/12.91         (((X1) = (X0))
% 85.43/12.91          | ~ (hBOOL @ 
% 85.43/12.91               (c_in @ 
% 85.43/12.91                (c_Pair @ X1 @ X0 @ tc_Arrow__Order__Mirabelle_Oalt @ 
% 85.43/12.91                 tc_Arrow__Order__Mirabelle_Oalt) @ 
% 85.43/12.91                (hAPP @ v_P @ v_i) @ 
% 85.43/12.91                (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @ 
% 85.43/12.91                 tc_Arrow__Order__Mirabelle_Oalt)))
% 85.43/12.91          |  (hBOOL @ 
% 85.43/12.91              (c_in @ 
% 85.43/12.91               (c_Pair @ X1 @ X0 @ tc_Arrow__Order__Mirabelle_Oalt @ 
% 85.43/12.91                tc_Arrow__Order__Mirabelle_Oalt) @ 
% 85.43/12.91               (v_F @ v_P) @ 
% 85.43/12.91               (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @ 
% 85.43/12.91                tc_Arrow__Order__Mirabelle_Oalt))))),
% 85.43/12.91      inference('demod', [status(thm)],
% 85.43/12.91                [zip_derived_cl43, zip_derived_cl51, zip_derived_cl50, 
% 85.43/12.91                 zip_derived_cl49])).
% 85.43/12.91  thf(zip_derived_cl29160, plain,
% 85.43/12.91      ((((v_b) = (v_a))
% 85.43/12.91        |  (hBOOL @ 
% 85.43/12.91            (c_in @ 
% 85.43/12.91             (c_Pair @ v_b @ v_a @ tc_Arrow__Order__Mirabelle_Oalt @ 
% 85.43/12.91              tc_Arrow__Order__Mirabelle_Oalt) @ 
% 85.43/12.91             (v_F @ v_P) @ 
% 85.43/12.91             (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @ 
% 85.43/12.91              tc_Arrow__Order__Mirabelle_Oalt)))
% 85.43/12.91        | ((v_b) = (v_a)))),
% 85.43/12.91      inference('sup-', [status(thm)], [zip_derived_cl29130, zip_derived_cl305])).
% 85.43/12.91  thf(zip_derived_cl29163, plain,
% 85.43/12.91      (( (hBOOL @ 
% 85.43/12.91          (c_in @ 
% 85.43/12.91           (c_Pair @ v_b @ v_a @ tc_Arrow__Order__Mirabelle_Oalt @ 
% 85.43/12.91            tc_Arrow__Order__Mirabelle_Oalt) @ 
% 85.43/12.91           (v_F @ v_P) @ 
% 85.43/12.91           (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @ 
% 85.43/12.91            tc_Arrow__Order__Mirabelle_Oalt)))
% 85.43/12.91        | ((v_b) = (v_a)))),
% 85.43/12.91      inference('simplify', [status(thm)], [zip_derived_cl29160])).
% 85.43/12.91  thf(cls_mem__def_0, axiom,
% 85.43/12.91    (( hBOOL @ ( hAPP @ V_S @ V_x ) ) | 
% 85.43/12.91     ( ~( hBOOL @ ( c_in @ V_x @ V_S @ T_a ) ) ))).
% 85.43/12.91  thf(zip_derived_cl42, plain,
% 85.43/12.91      (![X0 : $i, X1 : $i, X2 : $i]:
% 85.43/12.91         ( (hBOOL @ (hAPP @ X0 @ X1)) | ~ (hBOOL @ (c_in @ X1 @ X0 @ X2)))),
% 85.43/12.91      inference('cnf', [status(esa)], [cls_mem__def_0])).
% 85.43/12.91  thf(zip_derived_cl29170, plain,
% 85.43/12.91      ((((v_b) = (v_a))
% 85.43/12.91        |  (hBOOL @ 
% 85.43/12.91            (hAPP @ (v_F @ v_P) @ 
% 85.43/12.91             (c_Pair @ v_b @ v_a @ tc_Arrow__Order__Mirabelle_Oalt @ 
% 85.43/12.91              tc_Arrow__Order__Mirabelle_Oalt))))),
% 85.43/12.91      inference('sup-', [status(thm)], [zip_derived_cl29163, zip_derived_cl42])).
% 85.43/12.91  thf(zip_derived_cl122, plain,
% 85.43/12.91      (~ (hBOOL @ 
% 85.43/12.91          (hAPP @ (v_F @ v_P) @ 
% 85.43/12.91           (c_Pair @ v_b @ v_a @ tc_Arrow__Order__Mirabelle_Oalt @ 
% 85.43/12.91            tc_Arrow__Order__Mirabelle_Oalt)))),
% 85.43/12.91      inference('demod', [status(thm)], [zip_derived_cl120, zip_derived_cl61])).
% 85.43/12.91  thf(zip_derived_cl29188, plain, (((v_b) = (v_a))),
% 85.43/12.91      inference('clc', [status(thm)], [zip_derived_cl29170, zip_derived_cl122])).
% 85.43/12.91  thf(zip_derived_cl29199, plain,
% 85.43/12.91      (~ (hBOOL @ 
% 85.43/12.91          (hAPP @ (v_F @ v_P) @ 
% 85.43/12.91           (c_Pair @ v_b @ v_b @ tc_Arrow__Order__Mirabelle_Oalt @ 
% 85.43/12.91            tc_Arrow__Order__Mirabelle_Oalt)))),
% 85.43/12.91      inference('demod', [status(thm)],
% 85.43/12.91                [zip_derived_cl122, zip_derived_cl29188])).
% 85.43/12.91  thf(zip_derived_cl48, plain,
% 85.43/12.91      ( (hBOOL @ 
% 85.43/12.91         (c_in @ 
% 85.43/12.91          (c_Pair @ v_a @ v_b @ tc_Arrow__Order__Mirabelle_Oalt @ 
% 85.43/12.91           tc_Arrow__Order__Mirabelle_Oalt) @ 
% 85.43/12.91          (v_F @ v_P) @ 
% 85.43/12.91          (tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @ 
% 85.43/12.91           tc_Arrow__Order__Mirabelle_Oalt)))),
% 85.43/12.91      inference('cnf', [status(esa)], [zf_stmt_0])).
% 85.43/12.91  thf(zip_derived_cl42, plain,
% 85.43/12.91      (![X0 : $i, X1 : $i, X2 : $i]:
% 85.43/12.91         ( (hBOOL @ (hAPP @ X0 @ X1)) | ~ (hBOOL @ (c_in @ X1 @ X0 @ X2)))),
% 85.43/12.91      inference('cnf', [status(esa)], [cls_mem__def_0])).
% 85.43/12.91  thf(zip_derived_cl56, plain,
% 85.43/12.91      ( (hBOOL @ 
% 85.43/12.91         (hAPP @ (v_F @ v_P) @ 
% 85.43/12.91          (c_Pair @ v_a @ v_b @ tc_Arrow__Order__Mirabelle_Oalt @ 
% 85.43/12.91           tc_Arrow__Order__Mirabelle_Oalt)))),
% 85.43/12.91      inference('sup-', [status(thm)], [zip_derived_cl48, zip_derived_cl42])).
% 85.43/12.91  thf(zip_derived_cl29188, plain, (((v_b) = (v_a))),
% 85.43/12.91      inference('clc', [status(thm)], [zip_derived_cl29170, zip_derived_cl122])).
% 85.43/12.91  thf(zip_derived_cl29191, plain,
% 85.43/12.91      ( (hBOOL @ 
% 85.43/12.91         (hAPP @ (v_F @ v_P) @ 
% 85.43/12.91          (c_Pair @ v_b @ v_b @ tc_Arrow__Order__Mirabelle_Oalt @ 
% 85.43/12.91           tc_Arrow__Order__Mirabelle_Oalt)))),
% 85.43/12.91      inference('demod', [status(thm)], [zip_derived_cl56, zip_derived_cl29188])).
% 85.43/12.91  thf(zip_derived_cl29767, plain, ($false),
% 85.43/12.91      inference('demod', [status(thm)],
% 85.43/12.91                [zip_derived_cl29199, zip_derived_cl29191])).
% 85.43/12.91  
% 85.43/12.91  % SZS output end Refutation
% 85.43/12.91  
% 85.43/12.91  
% 85.43/12.91  % Terminating...
% 86.43/12.97  % Runner terminated.
% 86.43/12.98  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------