TSTP Solution File: LAT276-1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : LAT276-1 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.2grK67aRpR true

% Computer : n016.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 06:46:28 EDT 2023

% Result   : Unsatisfiable 4.55s 1.33s
% Output   : Refutation 4.55s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : LAT276-1 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.14  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.2grK67aRpR true
% 0.17/0.35  % Computer : n016.cluster.edu
% 0.17/0.35  % Model    : x86_64 x86_64
% 0.17/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.35  % Memory   : 8042.1875MB
% 0.17/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.17/0.35  % CPULimit : 300
% 0.17/0.35  % WCLimit  : 300
% 0.17/0.35  % DateTime : Thu Aug 24 08:02:23 EDT 2023
% 0.17/0.36  % CPUTime  : 
% 0.17/0.36  % Running portfolio for 300 s
% 0.17/0.36  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.17/0.36  % Number of cores: 8
% 0.17/0.36  % Python version: Python 3.6.8
% 0.17/0.36  % Running in FO mode
% 0.21/0.63  % Total configuration time : 435
% 0.21/0.63  % Estimated wc time : 1092
% 0.21/0.63  % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.70  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.71  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.75  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.21/0.76  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.21/0.76  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.21/0.76  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.21/0.76  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 2.34/0.94  % /export/starexec/sandbox/solver/bin/fo/fo1_lcnf.sh running for 50s
% 4.55/1.33  % Solved by fo/fo3_bce.sh.
% 4.55/1.33  % BCE start: 580
% 4.55/1.33  % BCE eliminated: 288
% 4.55/1.33  % PE start: 292
% 4.55/1.33  logic: eq
% 4.55/1.33  % PE eliminated: 2
% 4.55/1.33  % done 495 iterations in 0.599s
% 4.55/1.33  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 4.55/1.33  % SZS output start Refutation
% 4.55/1.33  thf(t_a_type, type, t_a: $i).
% 4.55/1.33  thf(v_sko__4mP_type, type, v_sko__4mP: $i > $i > $i > $i).
% 4.55/1.33  thf(c_Tarski_Olub_type, type, c_Tarski_Olub: $i > $i > $i > $i).
% 4.55/1.33  thf(c_Pair_type, type, c_Pair: $i > $i > $i > $i > $i).
% 4.55/1.33  thf(c_in_type, type, c_in: $i > $i > $i > $o).
% 4.55/1.33  thf(v_xa_type, type, v_xa: $i).
% 4.55/1.33  thf(v_cl_type, type, v_cl: $i).
% 4.55/1.33  thf(c_Tarski_Opotype_Opset_type, type, c_Tarski_Opotype_Opset: $i > $i > $i > $i).
% 4.55/1.33  thf(v_S_type, type, v_S: $i).
% 4.55/1.33  thf(tc_Product__Type_Ounit_type, type, tc_Product__Type_Ounit: $i).
% 4.55/1.33  thf(v_A_type, type, v_A: $i).
% 4.55/1.33  thf(c_lessequals_type, type, c_lessequals: $i > $i > $i > $o).
% 4.55/1.33  thf(c_Tarski_Opotype_Oorder_type, type, c_Tarski_Opotype_Oorder: $i > $i > $i > $i).
% 4.55/1.33  thf(tc_prod_type, type, tc_prod: $i > $i > $i).
% 4.55/1.33  thf(tc_set_type, type, tc_set: $i > $i).
% 4.55/1.33  thf(v_r_type, type, v_r: $i).
% 4.55/1.33  thf(cls_Tarski_O_91_124_AS1_A_60_61_AA_59_Ax1_A_58_AS1_A_124_93_A_61_61_62_A_Ix1_M_Alub_AS1_Acl_J_A_58_Ar_A_61_61_ATrue_0, axiom,
% 4.55/1.33    (( ~( c_in @ V_x @ V_S @ t_a ) ) | 
% 4.55/1.33     ( ~( c_lessequals @ V_S @ v_A @ ( tc_set @ t_a ) ) ) | 
% 4.55/1.33     ( c_in @
% 4.55/1.33       ( c_Pair @ V_x @ ( c_Tarski_Olub @ V_S @ v_cl @ t_a ) @ t_a @ t_a ) @ 
% 4.55/1.33       v_r @ ( tc_prod @ t_a @ t_a ) ))).
% 4.55/1.33  thf(zip_derived_cl564, plain,
% 4.55/1.33      (![X0 : $i, X1 : $i]:
% 4.55/1.33         (~ (c_in @ X0 @ X1 @ t_a)
% 4.55/1.33          | ~ (c_lessequals @ X1 @ v_A @ (tc_set @ t_a))
% 4.55/1.33          |  (c_in @ 
% 4.55/1.33              (c_Pair @ X0 @ (c_Tarski_Olub @ X1 @ v_cl @ t_a) @ t_a @ t_a) @ 
% 4.55/1.33              v_r @ (tc_prod @ t_a @ t_a)))),
% 4.55/1.33      inference('cnf', [status(esa)],
% 4.55/1.33                [cls_Tarski_O_91_124_AS1_A_60_61_AA_59_Ax1_A_58_AS1_A_124_93_A_61_61_62_A_Ix1_M_Alub_AS1_Acl_J_A_58_Ar_A_61_61_ATrue_0])).
% 4.55/1.33  thf(cls_conjecture_6, conjecture,
% 4.55/1.33    (~( ( ~( c_in @
% 4.55/1.33             ( c_Pair @ v_xa @ ( c_Tarski_Olub @ v_S @ v_cl @ t_a ) @ t_a @ t_a ) @ 
% 4.55/1.33             ( c_Tarski_Opotype_Oorder @ v_cl @ t_a @ tc_Product__Type_Ounit ) @ 
% 4.55/1.33             ( tc_prod @ t_a @ t_a ) ) ) | 
% 4.55/1.33        ( ~( c_in @
% 4.55/1.33             ( c_Pair @ ( c_Tarski_Olub @ v_S @ v_cl @ t_a ) @ v_xa @ t_a @ t_a ) @ 
% 4.55/1.33             ( c_Tarski_Opotype_Oorder @ v_cl @ t_a @ tc_Product__Type_Ounit ) @ 
% 4.55/1.33             ( tc_prod @ t_a @ t_a ) ) ) ))).
% 4.55/1.33  thf(zf_stmt_0, negated_conjecture,
% 4.55/1.33    (( ~( c_in @
% 4.55/1.33          ( c_Pair @ v_xa @ ( c_Tarski_Olub @ v_S @ v_cl @ t_a ) @ t_a @ t_a ) @ 
% 4.55/1.33          ( c_Tarski_Opotype_Oorder @ v_cl @ t_a @ tc_Product__Type_Ounit ) @ 
% 4.55/1.33          ( tc_prod @ t_a @ t_a ) ) ) | 
% 4.55/1.33     ( ~( c_in @
% 4.55/1.33          ( c_Pair @ ( c_Tarski_Olub @ v_S @ v_cl @ t_a ) @ v_xa @ t_a @ t_a ) @ 
% 4.55/1.33          ( c_Tarski_Opotype_Oorder @ v_cl @ t_a @ tc_Product__Type_Ounit ) @ 
% 4.55/1.33          ( tc_prod @ t_a @ t_a ) ) )),
% 4.55/1.33    inference('cnf.neg', [status(esa)], [cls_conjecture_6])).
% 4.55/1.33  thf(zip_derived_cl572, plain,
% 4.55/1.33      ((~ (c_in @ 
% 4.55/1.33           (c_Pair @ v_xa @ (c_Tarski_Olub @ v_S @ v_cl @ t_a) @ t_a @ t_a) @ 
% 4.55/1.33           (c_Tarski_Opotype_Oorder @ v_cl @ t_a @ tc_Product__Type_Ounit) @ 
% 4.55/1.33           (tc_prod @ t_a @ t_a))
% 4.55/1.33        | ~ (c_in @ 
% 4.55/1.33             (c_Pair @ (c_Tarski_Olub @ v_S @ v_cl @ t_a) @ v_xa @ t_a @ t_a) @ 
% 4.55/1.33             (c_Tarski_Opotype_Oorder @ v_cl @ t_a @ tc_Product__Type_Ounit) @ 
% 4.55/1.33             (tc_prod @ t_a @ t_a)))),
% 4.55/1.33      inference('cnf', [status(esa)], [zf_stmt_0])).
% 4.55/1.33  thf(cls_Tarski_Or_A_61_61_Aorder_Acl_0, axiom,
% 4.55/1.33    (( v_r ) =
% 4.55/1.33     ( c_Tarski_Opotype_Oorder @ v_cl @ t_a @ tc_Product__Type_Ounit ))).
% 4.55/1.33  thf(zip_derived_cl568, plain,
% 4.55/1.33      (((v_r) = (c_Tarski_Opotype_Oorder @ v_cl @ t_a @ tc_Product__Type_Ounit))),
% 4.55/1.33      inference('cnf', [status(esa)], [cls_Tarski_Or_A_61_61_Aorder_Acl_0])).
% 4.55/1.33  thf(zip_derived_cl568, plain,
% 4.55/1.33      (((v_r) = (c_Tarski_Opotype_Oorder @ v_cl @ t_a @ tc_Product__Type_Ounit))),
% 4.55/1.33      inference('cnf', [status(esa)], [cls_Tarski_Or_A_61_61_Aorder_Acl_0])).
% 4.55/1.33  thf(zip_derived_cl1256, plain,
% 4.55/1.33      ((~ (c_in @ 
% 4.55/1.33           (c_Pair @ v_xa @ (c_Tarski_Olub @ v_S @ v_cl @ t_a) @ t_a @ t_a) @ 
% 4.55/1.33           v_r @ (tc_prod @ t_a @ t_a))
% 4.55/1.33        | ~ (c_in @ 
% 4.55/1.33             (c_Pair @ (c_Tarski_Olub @ v_S @ v_cl @ t_a) @ v_xa @ t_a @ t_a) @ 
% 4.55/1.33             v_r @ (tc_prod @ t_a @ t_a)))),
% 4.55/1.33      inference('demod', [status(thm)],
% 4.55/1.33                [zip_derived_cl572, zip_derived_cl568, zip_derived_cl568])).
% 4.55/1.33  thf(zip_derived_cl564, plain,
% 4.55/1.33      (![X0 : $i, X1 : $i]:
% 4.55/1.33         (~ (c_in @ X0 @ X1 @ t_a)
% 4.55/1.33          | ~ (c_lessequals @ X1 @ v_A @ (tc_set @ t_a))
% 4.55/1.33          |  (c_in @ 
% 4.55/1.33              (c_Pair @ X0 @ (c_Tarski_Olub @ X1 @ v_cl @ t_a) @ t_a @ t_a) @ 
% 4.55/1.33              v_r @ (tc_prod @ t_a @ t_a)))),
% 4.55/1.33      inference('cnf', [status(esa)],
% 4.55/1.33                [cls_Tarski_O_91_124_AS1_A_60_61_AA_59_Ax1_A_58_AS1_A_124_93_A_61_61_62_A_Ix1_M_Alub_AS1_Acl_J_A_58_Ar_A_61_61_ATrue_0])).
% 4.55/1.33  thf(cls_conjecture_10, conjecture,
% 4.55/1.33    (~( ( ~( c_in @
% 4.55/1.33             ( c_Pair @ v_xa @ ( c_Tarski_Olub @ v_S @ v_cl @ t_a ) @ t_a @ t_a ) @ 
% 4.55/1.33             ( c_Tarski_Opotype_Oorder @ v_cl @ t_a @ tc_Product__Type_Ounit ) @ 
% 4.55/1.33             ( tc_prod @ t_a @ t_a ) ) ) | 
% 4.55/1.33        ( ~( c_in @ V_V @ v_S @ t_a ) ) | 
% 4.55/1.33        ( c_in @
% 4.55/1.33          ( c_Pair @ V_V @ v_xa @ t_a @ t_a ) @ 
% 4.55/1.33          ( c_Tarski_Opotype_Oorder @ v_cl @ t_a @ tc_Product__Type_Ounit ) @ 
% 4.55/1.33          ( tc_prod @ t_a @ t_a ) ) ))).
% 4.55/1.33  thf(zf_stmt_1, negated_conjecture,
% 4.55/1.33    (( ~( c_in @
% 4.55/1.33          ( c_Pair @ v_xa @ ( c_Tarski_Olub @ v_S @ v_cl @ t_a ) @ t_a @ t_a ) @ 
% 4.55/1.33          ( c_Tarski_Opotype_Oorder @ v_cl @ t_a @ tc_Product__Type_Ounit ) @ 
% 4.55/1.33          ( tc_prod @ t_a @ t_a ) ) ) | 
% 4.55/1.33     ( ~( c_in @ V_V @ v_S @ t_a ) ) | 
% 4.55/1.33     ( c_in @
% 4.55/1.33       ( c_Pair @ V_V @ v_xa @ t_a @ t_a ) @ 
% 4.55/1.33       ( c_Tarski_Opotype_Oorder @ v_cl @ t_a @ tc_Product__Type_Ounit ) @ 
% 4.55/1.33       ( tc_prod @ t_a @ t_a ) )),
% 4.55/1.33    inference('cnf.neg', [status(esa)], [cls_conjecture_10])).
% 4.55/1.33  thf(zip_derived_cl577, plain,
% 4.55/1.33      (![X0 : $i]:
% 4.55/1.33         (~ (c_in @ 
% 4.55/1.33             (c_Pair @ v_xa @ (c_Tarski_Olub @ v_S @ v_cl @ t_a) @ t_a @ t_a) @ 
% 4.55/1.33             (c_Tarski_Opotype_Oorder @ v_cl @ t_a @ tc_Product__Type_Ounit) @ 
% 4.55/1.33             (tc_prod @ t_a @ t_a))
% 4.55/1.33          | ~ (c_in @ X0 @ v_S @ t_a)
% 4.55/1.33          |  (c_in @ (c_Pair @ X0 @ v_xa @ t_a @ t_a) @ 
% 4.55/1.33              (c_Tarski_Opotype_Oorder @ v_cl @ t_a @ tc_Product__Type_Ounit) @ 
% 4.55/1.33              (tc_prod @ t_a @ t_a)))),
% 4.55/1.33      inference('cnf', [status(esa)], [zf_stmt_1])).
% 4.55/1.33  thf(zip_derived_cl568, plain,
% 4.55/1.33      (((v_r) = (c_Tarski_Opotype_Oorder @ v_cl @ t_a @ tc_Product__Type_Ounit))),
% 4.55/1.33      inference('cnf', [status(esa)], [cls_Tarski_Or_A_61_61_Aorder_Acl_0])).
% 4.55/1.33  thf(zip_derived_cl568, plain,
% 4.55/1.33      (((v_r) = (c_Tarski_Opotype_Oorder @ v_cl @ t_a @ tc_Product__Type_Ounit))),
% 4.55/1.33      inference('cnf', [status(esa)], [cls_Tarski_Or_A_61_61_Aorder_Acl_0])).
% 4.55/1.33  thf(zip_derived_cl1280, plain,
% 4.55/1.33      (![X0 : $i]:
% 4.55/1.33         (~ (c_in @ 
% 4.55/1.33             (c_Pair @ v_xa @ (c_Tarski_Olub @ v_S @ v_cl @ t_a) @ t_a @ t_a) @ 
% 4.55/1.33             v_r @ (tc_prod @ t_a @ t_a))
% 4.55/1.33          | ~ (c_in @ X0 @ v_S @ t_a)
% 4.55/1.33          |  (c_in @ (c_Pair @ X0 @ v_xa @ t_a @ t_a) @ v_r @ 
% 4.55/1.33              (tc_prod @ t_a @ t_a)))),
% 4.55/1.33      inference('demod', [status(thm)],
% 4.55/1.33                [zip_derived_cl577, zip_derived_cl568, zip_derived_cl568])).
% 4.55/1.33  thf(zip_derived_cl3553, plain,
% 4.55/1.33      (![X0 : $i]:
% 4.55/1.33         (~ (c_lessequals @ v_S @ v_A @ (tc_set @ t_a))
% 4.55/1.33          | ~ (c_in @ v_xa @ v_S @ t_a)
% 4.55/1.33          |  (c_in @ (c_Pair @ X0 @ v_xa @ t_a @ t_a) @ v_r @ 
% 4.55/1.33              (tc_prod @ t_a @ t_a))
% 4.55/1.33          | ~ (c_in @ X0 @ v_S @ t_a))),
% 4.55/1.33      inference('sup-', [status(thm)], [zip_derived_cl564, zip_derived_cl1280])).
% 4.55/1.33  thf(cls_conjecture_0, conjecture,
% 4.55/1.33    (~( c_lessequals @ v_S @ v_A @ ( tc_set @ t_a ) ))).
% 4.55/1.33  thf(zf_stmt_2, negated_conjecture,
% 4.55/1.33    (c_lessequals @ v_S @ v_A @ ( tc_set @ t_a )),
% 4.55/1.33    inference('cnf.neg', [status(esa)], [cls_conjecture_0])).
% 4.55/1.33  thf(zip_derived_cl579, plain, ( (c_lessequals @ v_S @ v_A @ (tc_set @ t_a))),
% 4.55/1.33      inference('cnf', [status(esa)], [zf_stmt_2])).
% 4.55/1.33  thf(zip_derived_cl3556, plain,
% 4.55/1.33      (![X0 : $i]:
% 4.55/1.33         (~ (c_in @ v_xa @ v_S @ t_a)
% 4.55/1.33          |  (c_in @ (c_Pair @ X0 @ v_xa @ t_a @ t_a) @ v_r @ 
% 4.55/1.33              (tc_prod @ t_a @ t_a))
% 4.55/1.33          | ~ (c_in @ X0 @ v_S @ t_a))),
% 4.55/1.33      inference('demod', [status(thm)], [zip_derived_cl3553, zip_derived_cl579])).
% 4.55/1.33  thf(cls_conjecture_9, conjecture,
% 4.55/1.33    (~( ( c_in @ v_xa @ v_S @ t_a ) | ( ~( c_in @ V_U @ v_S @ t_a ) ) | 
% 4.55/1.33        ( c_in @
% 4.55/1.33          ( c_Pair @ V_U @ v_xa @ t_a @ t_a ) @ 
% 4.55/1.33          ( c_Tarski_Opotype_Oorder @ v_cl @ t_a @ tc_Product__Type_Ounit ) @ 
% 4.55/1.33          ( tc_prod @ t_a @ t_a ) ) ))).
% 4.55/1.33  thf(zf_stmt_3, negated_conjecture,
% 4.55/1.33    (( c_in @ v_xa @ v_S @ t_a ) | ( ~( c_in @ V_U @ v_S @ t_a ) ) | 
% 4.55/1.33     ( c_in @
% 4.55/1.33       ( c_Pair @ V_U @ v_xa @ t_a @ t_a ) @ 
% 4.55/1.33       ( c_Tarski_Opotype_Oorder @ v_cl @ t_a @ tc_Product__Type_Ounit ) @ 
% 4.55/1.33       ( tc_prod @ t_a @ t_a ) )),
% 4.55/1.33    inference('cnf.neg', [status(esa)], [cls_conjecture_9])).
% 4.55/1.33  thf(zip_derived_cl569, plain,
% 4.55/1.33      (![X0 : $i]:
% 4.55/1.33         ( (c_in @ v_xa @ v_S @ t_a)
% 4.55/1.33          | ~ (c_in @ X0 @ v_S @ t_a)
% 4.55/1.33          |  (c_in @ (c_Pair @ X0 @ v_xa @ t_a @ t_a) @ 
% 4.55/1.33              (c_Tarski_Opotype_Oorder @ v_cl @ t_a @ tc_Product__Type_Ounit) @ 
% 4.55/1.33              (tc_prod @ t_a @ t_a)))),
% 4.55/1.33      inference('cnf', [status(esa)], [zf_stmt_3])).
% 4.55/1.33  thf(zip_derived_cl568, plain,
% 4.55/1.33      (((v_r) = (c_Tarski_Opotype_Oorder @ v_cl @ t_a @ tc_Product__Type_Ounit))),
% 4.55/1.33      inference('cnf', [status(esa)], [cls_Tarski_Or_A_61_61_Aorder_Acl_0])).
% 4.55/1.33  thf(zip_derived_cl1351, plain,
% 4.55/1.33      (![X0 : $i]:
% 4.55/1.33         ( (c_in @ v_xa @ v_S @ t_a)
% 4.55/1.33          | ~ (c_in @ X0 @ v_S @ t_a)
% 4.55/1.33          |  (c_in @ (c_Pair @ X0 @ v_xa @ t_a @ t_a) @ v_r @ 
% 4.55/1.33              (tc_prod @ t_a @ t_a)))),
% 4.55/1.33      inference('demod', [status(thm)], [zip_derived_cl569, zip_derived_cl568])).
% 4.55/1.33  thf(zip_derived_cl3557, plain,
% 4.55/1.33      (![X0 : $i]:
% 4.55/1.33         (~ (c_in @ X0 @ v_S @ t_a)
% 4.55/1.33          |  (c_in @ (c_Pair @ X0 @ v_xa @ t_a @ t_a) @ v_r @ 
% 4.55/1.33              (tc_prod @ t_a @ t_a)))),
% 4.55/1.33      inference('clc', [status(thm)], [zip_derived_cl3556, zip_derived_cl1351])).
% 4.55/1.33  thf(cls_Tarski_O_91_124_AS1_A_60_61_AA_59_AL1_A_58_AA_59_AALL_Ax_58S1_O_A_Ix_M_AL1_J_A_58_Ar_A_124_93_A_61_61_62_A_Ilub_AS1_Acl_M_AL1_J_A_58_Ar_A_61_61_ATrue_1, axiom,
% 4.55/1.33    (( ~( c_in @ V_L @ v_A @ t_a ) ) | 
% 4.55/1.33     ( ~( c_in @
% 4.55/1.33          ( c_Pair @ ( v_sko__4mP @ V_L @ V_S @ v_r ) @ V_L @ t_a @ t_a ) @ 
% 4.55/1.33          v_r @ ( tc_prod @ t_a @ t_a ) ) ) | 
% 4.55/1.33     ( ~( c_lessequals @ V_S @ v_A @ ( tc_set @ t_a ) ) ) | 
% 4.55/1.33     ( c_in @
% 4.55/1.33       ( c_Pair @ ( c_Tarski_Olub @ V_S @ v_cl @ t_a ) @ V_L @ t_a @ t_a ) @ 
% 4.55/1.33       v_r @ ( tc_prod @ t_a @ t_a ) ))).
% 4.55/1.33  thf(zip_derived_cl563, plain,
% 4.55/1.33      (![X0 : $i, X1 : $i]:
% 4.55/1.33         (~ (c_in @ X0 @ v_A @ t_a)
% 4.55/1.33          | ~ (c_in @ 
% 4.55/1.33               (c_Pair @ (v_sko__4mP @ X0 @ X1 @ v_r) @ X0 @ t_a @ t_a) @ 
% 4.55/1.33               v_r @ (tc_prod @ t_a @ t_a))
% 4.55/1.33          | ~ (c_lessequals @ X1 @ v_A @ (tc_set @ t_a))
% 4.55/1.33          |  (c_in @ 
% 4.55/1.33              (c_Pair @ (c_Tarski_Olub @ X1 @ v_cl @ t_a) @ X0 @ t_a @ t_a) @ 
% 4.55/1.33              v_r @ (tc_prod @ t_a @ t_a)))),
% 4.55/1.33      inference('cnf', [status(esa)],
% 4.55/1.33                [cls_Tarski_O_91_124_AS1_A_60_61_AA_59_AL1_A_58_AA_59_AALL_Ax_58S1_O_A_Ix_M_AL1_J_A_58_Ar_A_124_93_A_61_61_62_A_Ilub_AS1_Acl_M_AL1_J_A_58_Ar_A_61_61_ATrue_1])).
% 4.55/1.33  thf(zip_derived_cl3760, plain,
% 4.55/1.33      (![X0 : $i]:
% 4.55/1.33         (~ (c_in @ (v_sko__4mP @ v_xa @ X0 @ v_r) @ v_S @ t_a)
% 4.55/1.33          |  (c_in @ 
% 4.55/1.33              (c_Pair @ (c_Tarski_Olub @ X0 @ v_cl @ t_a) @ v_xa @ t_a @ t_a) @ 
% 4.55/1.33              v_r @ (tc_prod @ t_a @ t_a))
% 4.55/1.33          | ~ (c_lessequals @ X0 @ v_A @ (tc_set @ t_a))
% 4.55/1.33          | ~ (c_in @ v_xa @ v_A @ t_a))),
% 4.55/1.33      inference('sup-', [status(thm)], [zip_derived_cl3557, zip_derived_cl563])).
% 4.55/1.33  thf(cls_conjecture_3, conjecture,
% 4.55/1.33    (~( ( c_in @ v_xa @ v_S @ t_a ) | 
% 4.55/1.33        ( c_in @
% 4.55/1.33          v_xa @ 
% 4.55/1.33          ( c_Tarski_Opotype_Opset @ v_cl @ t_a @ tc_Product__Type_Ounit ) @ 
% 4.55/1.33          t_a ) ))).
% 4.55/1.33  thf(zf_stmt_4, negated_conjecture,
% 4.55/1.33    (( c_in @ v_xa @ v_S @ t_a ) | 
% 4.55/1.33     ( c_in @
% 4.55/1.33       v_xa @ 
% 4.55/1.33       ( c_Tarski_Opotype_Opset @ v_cl @ t_a @ tc_Product__Type_Ounit ) @ t_a )),
% 4.55/1.33    inference('cnf.neg', [status(esa)], [cls_conjecture_3])).
% 4.55/1.33  thf(zip_derived_cl575, plain,
% 4.55/1.33      (( (c_in @ v_xa @ v_S @ t_a)
% 4.55/1.33        |  (c_in @ v_xa @ 
% 4.55/1.33            (c_Tarski_Opotype_Opset @ v_cl @ t_a @ tc_Product__Type_Ounit) @ 
% 4.55/1.33            t_a))),
% 4.55/1.33      inference('cnf', [status(esa)], [zf_stmt_4])).
% 4.55/1.33  thf(cls_Tarski_OA_A_61_61_Apset_Acl_0, axiom,
% 4.55/1.33    (( v_A ) = ( c_Tarski_Opotype_Opset @ v_cl @ t_a @ tc_Product__Type_Ounit ))).
% 4.55/1.33  thf(zip_derived_cl560, plain,
% 4.55/1.33      (((v_A) = (c_Tarski_Opotype_Opset @ v_cl @ t_a @ tc_Product__Type_Ounit))),
% 4.55/1.33      inference('cnf', [status(esa)], [cls_Tarski_OA_A_61_61_Apset_Acl_0])).
% 4.55/1.33  thf(zip_derived_cl1253, plain,
% 4.55/1.33      (( (c_in @ v_xa @ v_S @ t_a) |  (c_in @ v_xa @ v_A @ t_a))),
% 4.55/1.33      inference('demod', [status(thm)], [zip_derived_cl575, zip_derived_cl560])).
% 4.55/1.33  thf(zip_derived_cl579, plain, ( (c_lessequals @ v_S @ v_A @ (tc_set @ t_a))),
% 4.55/1.33      inference('cnf', [status(esa)], [zf_stmt_2])).
% 4.55/1.33  thf(cls_Set_OsubsetD_0, axiom,
% 4.55/1.33    (( ~( c_in @ V_c @ V_A @ T_a ) ) | 
% 4.55/1.33     ( ~( c_lessequals @ V_A @ V_B @ ( tc_set @ T_a ) ) ) | 
% 4.55/1.33     ( c_in @ V_c @ V_B @ T_a ))).
% 4.55/1.33  thf(zip_derived_cl540, plain,
% 4.55/1.33      (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 4.55/1.33         (~ (c_in @ X0 @ X1 @ X2)
% 4.55/1.33          | ~ (c_lessequals @ X1 @ X3 @ (tc_set @ X2))
% 4.55/1.33          |  (c_in @ X0 @ X3 @ X2))),
% 4.55/1.33      inference('cnf', [status(esa)], [cls_Set_OsubsetD_0])).
% 4.55/1.33  thf(zip_derived_cl1411, plain,
% 4.55/1.33      (![X0 : $i]: ( (c_in @ X0 @ v_A @ t_a) | ~ (c_in @ X0 @ v_S @ t_a))),
% 4.55/1.33      inference('sup-', [status(thm)], [zip_derived_cl579, zip_derived_cl540])).
% 4.55/1.33  thf(zip_derived_cl1413, plain,
% 4.55/1.33      (( (c_in @ v_xa @ v_A @ t_a) |  (c_in @ v_xa @ v_A @ t_a))),
% 4.55/1.33      inference('sup-', [status(thm)], [zip_derived_cl1253, zip_derived_cl1411])).
% 4.55/1.33  thf(zip_derived_cl1414, plain, ( (c_in @ v_xa @ v_A @ t_a)),
% 4.55/1.33      inference('simplify', [status(thm)], [zip_derived_cl1413])).
% 4.55/1.33  thf(zip_derived_cl3762, plain,
% 4.55/1.33      (![X0 : $i]:
% 4.55/1.33         (~ (c_in @ (v_sko__4mP @ v_xa @ X0 @ v_r) @ v_S @ t_a)
% 4.55/1.33          |  (c_in @ 
% 4.55/1.33              (c_Pair @ (c_Tarski_Olub @ X0 @ v_cl @ t_a) @ v_xa @ t_a @ t_a) @ 
% 4.55/1.33              v_r @ (tc_prod @ t_a @ t_a))
% 4.55/1.33          | ~ (c_lessequals @ X0 @ v_A @ (tc_set @ t_a)))),
% 4.55/1.33      inference('demod', [status(thm)],
% 4.55/1.33                [zip_derived_cl3760, zip_derived_cl1414])).
% 4.55/1.33  thf(zip_derived_cl3768, plain,
% 4.55/1.33      ((~ (c_in @ 
% 4.55/1.33           (c_Pair @ v_xa @ (c_Tarski_Olub @ v_S @ v_cl @ t_a) @ t_a @ t_a) @ 
% 4.55/1.33           v_r @ (tc_prod @ t_a @ t_a))
% 4.55/1.33        | ~ (c_lessequals @ v_S @ v_A @ (tc_set @ t_a))
% 4.55/1.33        | ~ (c_in @ (v_sko__4mP @ v_xa @ v_S @ v_r) @ v_S @ t_a))),
% 4.55/1.33      inference('sup+', [status(thm)], [zip_derived_cl1256, zip_derived_cl3762])).
% 4.55/1.33  thf(zip_derived_cl579, plain, ( (c_lessequals @ v_S @ v_A @ (tc_set @ t_a))),
% 4.55/1.33      inference('cnf', [status(esa)], [zf_stmt_2])).
% 4.55/1.33  thf(zip_derived_cl3770, plain,
% 4.55/1.33      ((~ (c_in @ 
% 4.55/1.33           (c_Pair @ v_xa @ (c_Tarski_Olub @ v_S @ v_cl @ t_a) @ t_a @ t_a) @ 
% 4.55/1.33           v_r @ (tc_prod @ t_a @ t_a))
% 4.55/1.33        | ~ (c_in @ (v_sko__4mP @ v_xa @ v_S @ v_r) @ v_S @ t_a))),
% 4.55/1.33      inference('demod', [status(thm)], [zip_derived_cl3768, zip_derived_cl579])).
% 4.55/1.33  thf(zip_derived_cl3774, plain,
% 4.55/1.33      ((~ (c_lessequals @ v_S @ v_A @ (tc_set @ t_a))
% 4.55/1.33        | ~ (c_in @ v_xa @ v_S @ t_a)
% 4.55/1.33        | ~ (c_in @ (v_sko__4mP @ v_xa @ v_S @ v_r) @ v_S @ t_a))),
% 4.55/1.33      inference('sup-', [status(thm)], [zip_derived_cl564, zip_derived_cl3770])).
% 4.55/1.33  thf(zip_derived_cl579, plain, ( (c_lessequals @ v_S @ v_A @ (tc_set @ t_a))),
% 4.55/1.33      inference('cnf', [status(esa)], [zf_stmt_2])).
% 4.55/1.33  thf(zip_derived_cl3775, plain,
% 4.55/1.33      ((~ (c_in @ v_xa @ v_S @ t_a)
% 4.55/1.33        | ~ (c_in @ (v_sko__4mP @ v_xa @ v_S @ v_r) @ v_S @ t_a))),
% 4.55/1.33      inference('demod', [status(thm)], [zip_derived_cl3774, zip_derived_cl579])).
% 4.55/1.33  thf(cls_conjecture_4, conjecture,
% 4.55/1.33    (~( ( c_in @ v_xa @ v_S @ t_a ) | 
% 4.55/1.33        ( ~( c_in @
% 4.55/1.33             ( c_Pair @ ( c_Tarski_Olub @ v_S @ v_cl @ t_a ) @ v_xa @ t_a @ t_a ) @ 
% 4.55/1.33             ( c_Tarski_Opotype_Oorder @ v_cl @ t_a @ tc_Product__Type_Ounit ) @ 
% 4.55/1.33             ( tc_prod @ t_a @ t_a ) ) ) ))).
% 4.55/1.33  thf(zf_stmt_5, negated_conjecture,
% 4.55/1.33    (( c_in @ v_xa @ v_S @ t_a ) | 
% 4.55/1.33     ( ~( c_in @
% 4.55/1.33          ( c_Pair @ ( c_Tarski_Olub @ v_S @ v_cl @ t_a ) @ v_xa @ t_a @ t_a ) @ 
% 4.55/1.33          ( c_Tarski_Opotype_Oorder @ v_cl @ t_a @ tc_Product__Type_Ounit ) @ 
% 4.55/1.33          ( tc_prod @ t_a @ t_a ) ) )),
% 4.55/1.33    inference('cnf.neg', [status(esa)], [cls_conjecture_4])).
% 4.55/1.33  thf(zip_derived_cl574, plain,
% 4.55/1.33      (( (c_in @ v_xa @ v_S @ t_a)
% 4.55/1.33        | ~ (c_in @ 
% 4.55/1.33             (c_Pair @ (c_Tarski_Olub @ v_S @ v_cl @ t_a) @ v_xa @ t_a @ t_a) @ 
% 4.55/1.33             (c_Tarski_Opotype_Oorder @ v_cl @ t_a @ tc_Product__Type_Ounit) @ 
% 4.55/1.33             (tc_prod @ t_a @ t_a)))),
% 4.55/1.33      inference('cnf', [status(esa)], [zf_stmt_5])).
% 4.55/1.33  thf(zip_derived_cl568, plain,
% 4.55/1.33      (((v_r) = (c_Tarski_Opotype_Oorder @ v_cl @ t_a @ tc_Product__Type_Ounit))),
% 4.55/1.33      inference('cnf', [status(esa)], [cls_Tarski_Or_A_61_61_Aorder_Acl_0])).
% 4.55/1.33  thf(zip_derived_cl1254, plain,
% 4.55/1.33      (( (c_in @ v_xa @ v_S @ t_a)
% 4.55/1.33        | ~ (c_in @ 
% 4.55/1.33             (c_Pair @ (c_Tarski_Olub @ v_S @ v_cl @ t_a) @ v_xa @ t_a @ t_a) @ 
% 4.55/1.33             v_r @ (tc_prod @ t_a @ t_a)))),
% 4.55/1.33      inference('demod', [status(thm)], [zip_derived_cl574, zip_derived_cl568])).
% 4.55/1.33  thf(zip_derived_cl3762, plain,
% 4.55/1.33      (![X0 : $i]:
% 4.55/1.33         (~ (c_in @ (v_sko__4mP @ v_xa @ X0 @ v_r) @ v_S @ t_a)
% 4.55/1.33          |  (c_in @ 
% 4.55/1.33              (c_Pair @ (c_Tarski_Olub @ X0 @ v_cl @ t_a) @ v_xa @ t_a @ t_a) @ 
% 4.55/1.33              v_r @ (tc_prod @ t_a @ t_a))
% 4.55/1.33          | ~ (c_lessequals @ X0 @ v_A @ (tc_set @ t_a)))),
% 4.55/1.33      inference('demod', [status(thm)],
% 4.55/1.33                [zip_derived_cl3760, zip_derived_cl1414])).
% 4.55/1.33  thf(zip_derived_cl3767, plain,
% 4.55/1.33      (( (c_in @ v_xa @ v_S @ t_a)
% 4.55/1.33        | ~ (c_lessequals @ v_S @ v_A @ (tc_set @ t_a))
% 4.55/1.33        | ~ (c_in @ (v_sko__4mP @ v_xa @ v_S @ v_r) @ v_S @ t_a))),
% 4.55/1.33      inference('sup+', [status(thm)], [zip_derived_cl1254, zip_derived_cl3762])).
% 4.55/1.33  thf(zip_derived_cl579, plain, ( (c_lessequals @ v_S @ v_A @ (tc_set @ t_a))),
% 4.55/1.33      inference('cnf', [status(esa)], [zf_stmt_2])).
% 4.55/1.33  thf(zip_derived_cl3769, plain,
% 4.55/1.33      (( (c_in @ v_xa @ v_S @ t_a)
% 4.55/1.33        | ~ (c_in @ (v_sko__4mP @ v_xa @ v_S @ v_r) @ v_S @ t_a))),
% 4.55/1.33      inference('demod', [status(thm)], [zip_derived_cl3767, zip_derived_cl579])).
% 4.55/1.33  thf(zip_derived_cl3777, plain,
% 4.55/1.33      (~ (c_in @ (v_sko__4mP @ v_xa @ v_S @ v_r) @ v_S @ t_a)),
% 4.55/1.33      inference('clc', [status(thm)], [zip_derived_cl3775, zip_derived_cl3769])).
% 4.55/1.33  thf(zip_derived_cl1254, plain,
% 4.55/1.33      (( (c_in @ v_xa @ v_S @ t_a)
% 4.55/1.33        | ~ (c_in @ 
% 4.55/1.33             (c_Pair @ (c_Tarski_Olub @ v_S @ v_cl @ t_a) @ v_xa @ t_a @ t_a) @ 
% 4.55/1.33             v_r @ (tc_prod @ t_a @ t_a)))),
% 4.55/1.33      inference('demod', [status(thm)], [zip_derived_cl574, zip_derived_cl568])).
% 4.55/1.33  thf(cls_Tarski_O_91_124_AS1_A_60_61_AA_59_AL1_A_58_AA_59_AALL_Ax_58S1_O_A_Ix_M_AL1_J_A_58_Ar_A_124_93_A_61_61_62_A_Ilub_AS1_Acl_M_AL1_J_A_58_Ar_A_61_61_ATrue_0, axiom,
% 4.55/1.33    (( ~( c_in @ V_L @ v_A @ t_a ) ) | 
% 4.55/1.33     ( ~( c_lessequals @ V_S @ v_A @ ( tc_set @ t_a ) ) ) | 
% 4.55/1.33     ( c_in @
% 4.55/1.33       ( c_Pair @ ( c_Tarski_Olub @ V_S @ v_cl @ t_a ) @ V_L @ t_a @ t_a ) @ 
% 4.55/1.33       v_r @ ( tc_prod @ t_a @ t_a ) ) | 
% 4.55/1.33     ( c_in @ ( v_sko__4mP @ V_L @ V_S @ v_r ) @ V_S @ t_a ))).
% 4.55/1.33  thf(zip_derived_cl562, plain,
% 4.55/1.33      (![X0 : $i, X1 : $i]:
% 4.55/1.33         (~ (c_in @ X0 @ v_A @ t_a)
% 4.55/1.33          | ~ (c_lessequals @ X1 @ v_A @ (tc_set @ t_a))
% 4.55/1.33          |  (c_in @ 
% 4.55/1.33              (c_Pair @ (c_Tarski_Olub @ X1 @ v_cl @ t_a) @ X0 @ t_a @ t_a) @ 
% 4.55/1.33              v_r @ (tc_prod @ t_a @ t_a))
% 4.55/1.33          |  (c_in @ (v_sko__4mP @ X0 @ X1 @ v_r) @ X1 @ t_a))),
% 4.55/1.33      inference('cnf', [status(esa)],
% 4.55/1.33                [cls_Tarski_O_91_124_AS1_A_60_61_AA_59_AL1_A_58_AA_59_AALL_Ax_58S1_O_A_Ix_M_AL1_J_A_58_Ar_A_124_93_A_61_61_62_A_Ilub_AS1_Acl_M_AL1_J_A_58_Ar_A_61_61_ATrue_0])).
% 4.55/1.33  thf(zip_derived_cl3781, plain,
% 4.55/1.33      (( (c_in @ v_xa @ v_S @ t_a)
% 4.55/1.33        |  (c_in @ (v_sko__4mP @ v_xa @ v_S @ v_r) @ v_S @ t_a)
% 4.55/1.33        | ~ (c_lessequals @ v_S @ v_A @ (tc_set @ t_a))
% 4.55/1.33        | ~ (c_in @ v_xa @ v_A @ t_a))),
% 4.55/1.33      inference('sup+', [status(thm)], [zip_derived_cl1254, zip_derived_cl562])).
% 4.55/1.33  thf(zip_derived_cl579, plain, ( (c_lessequals @ v_S @ v_A @ (tc_set @ t_a))),
% 4.55/1.33      inference('cnf', [status(esa)], [zf_stmt_2])).
% 4.55/1.33  thf(zip_derived_cl1414, plain, ( (c_in @ v_xa @ v_A @ t_a)),
% 4.55/1.33      inference('simplify', [status(thm)], [zip_derived_cl1413])).
% 4.55/1.33  thf(zip_derived_cl3783, plain,
% 4.55/1.33      (( (c_in @ v_xa @ v_S @ t_a)
% 4.55/1.33        |  (c_in @ (v_sko__4mP @ v_xa @ v_S @ v_r) @ v_S @ t_a))),
% 4.55/1.33      inference('demod', [status(thm)],
% 4.55/1.33                [zip_derived_cl3781, zip_derived_cl579, zip_derived_cl1414])).
% 4.55/1.33  thf(zip_derived_cl564, plain,
% 4.55/1.33      (![X0 : $i, X1 : $i]:
% 4.55/1.33         (~ (c_in @ X0 @ X1 @ t_a)
% 4.55/1.33          | ~ (c_lessequals @ X1 @ v_A @ (tc_set @ t_a))
% 4.55/1.33          |  (c_in @ 
% 4.55/1.33              (c_Pair @ X0 @ (c_Tarski_Olub @ X1 @ v_cl @ t_a) @ t_a @ t_a) @ 
% 4.55/1.33              v_r @ (tc_prod @ t_a @ t_a)))),
% 4.55/1.33      inference('cnf', [status(esa)],
% 4.55/1.33                [cls_Tarski_O_91_124_AS1_A_60_61_AA_59_Ax1_A_58_AS1_A_124_93_A_61_61_62_A_Ix1_M_Alub_AS1_Acl_J_A_58_Ar_A_61_61_ATrue_0])).
% 4.55/1.33  thf(zip_derived_cl1256, plain,
% 4.55/1.33      ((~ (c_in @ 
% 4.55/1.33           (c_Pair @ v_xa @ (c_Tarski_Olub @ v_S @ v_cl @ t_a) @ t_a @ t_a) @ 
% 4.55/1.33           v_r @ (tc_prod @ t_a @ t_a))
% 4.55/1.33        | ~ (c_in @ 
% 4.55/1.33             (c_Pair @ (c_Tarski_Olub @ v_S @ v_cl @ t_a) @ v_xa @ t_a @ t_a) @ 
% 4.55/1.33             v_r @ (tc_prod @ t_a @ t_a)))),
% 4.55/1.33      inference('demod', [status(thm)],
% 4.55/1.33                [zip_derived_cl572, zip_derived_cl568, zip_derived_cl568])).
% 4.55/1.33  thf(zip_derived_cl562, plain,
% 4.55/1.33      (![X0 : $i, X1 : $i]:
% 4.55/1.33         (~ (c_in @ X0 @ v_A @ t_a)
% 4.55/1.33          | ~ (c_lessequals @ X1 @ v_A @ (tc_set @ t_a))
% 4.55/1.33          |  (c_in @ 
% 4.55/1.33              (c_Pair @ (c_Tarski_Olub @ X1 @ v_cl @ t_a) @ X0 @ t_a @ t_a) @ 
% 4.55/1.33              v_r @ (tc_prod @ t_a @ t_a))
% 4.55/1.33          |  (c_in @ (v_sko__4mP @ X0 @ X1 @ v_r) @ X1 @ t_a))),
% 4.55/1.33      inference('cnf', [status(esa)],
% 4.55/1.33                [cls_Tarski_O_91_124_AS1_A_60_61_AA_59_AL1_A_58_AA_59_AALL_Ax_58S1_O_A_Ix_M_AL1_J_A_58_Ar_A_124_93_A_61_61_62_A_Ilub_AS1_Acl_M_AL1_J_A_58_Ar_A_61_61_ATrue_0])).
% 4.55/1.33  thf(zip_derived_cl3782, plain,
% 4.55/1.33      ((~ (c_in @ 
% 4.55/1.33           (c_Pair @ v_xa @ (c_Tarski_Olub @ v_S @ v_cl @ t_a) @ t_a @ t_a) @ 
% 4.55/1.33           v_r @ (tc_prod @ t_a @ t_a))
% 4.55/1.33        |  (c_in @ (v_sko__4mP @ v_xa @ v_S @ v_r) @ v_S @ t_a)
% 4.55/1.33        | ~ (c_lessequals @ v_S @ v_A @ (tc_set @ t_a))
% 4.55/1.33        | ~ (c_in @ v_xa @ v_A @ t_a))),
% 4.55/1.33      inference('sup+', [status(thm)], [zip_derived_cl1256, zip_derived_cl562])).
% 4.55/1.33  thf(zip_derived_cl3777, plain,
% 4.55/1.33      (~ (c_in @ (v_sko__4mP @ v_xa @ v_S @ v_r) @ v_S @ t_a)),
% 4.55/1.33      inference('clc', [status(thm)], [zip_derived_cl3775, zip_derived_cl3769])).
% 4.55/1.33  thf(zip_derived_cl579, plain, ( (c_lessequals @ v_S @ v_A @ (tc_set @ t_a))),
% 4.55/1.33      inference('cnf', [status(esa)], [zf_stmt_2])).
% 4.55/1.33  thf(zip_derived_cl1414, plain, ( (c_in @ v_xa @ v_A @ t_a)),
% 4.55/1.33      inference('simplify', [status(thm)], [zip_derived_cl1413])).
% 4.55/1.33  thf(zip_derived_cl3784, plain,
% 4.55/1.33      (~ (c_in @ 
% 4.55/1.33          (c_Pair @ v_xa @ (c_Tarski_Olub @ v_S @ v_cl @ t_a) @ t_a @ t_a) @ 
% 4.55/1.33          v_r @ (tc_prod @ t_a @ t_a))),
% 4.55/1.33      inference('demod', [status(thm)],
% 4.55/1.33                [zip_derived_cl3782, zip_derived_cl3777, zip_derived_cl579, 
% 4.55/1.33                 zip_derived_cl1414])).
% 4.55/1.33  thf(zip_derived_cl3788, plain,
% 4.55/1.33      ((~ (c_lessequals @ v_S @ v_A @ (tc_set @ t_a))
% 4.55/1.33        | ~ (c_in @ v_xa @ v_S @ t_a))),
% 4.55/1.33      inference('sup-', [status(thm)], [zip_derived_cl564, zip_derived_cl3784])).
% 4.55/1.33  thf(zip_derived_cl579, plain, ( (c_lessequals @ v_S @ v_A @ (tc_set @ t_a))),
% 4.55/1.33      inference('cnf', [status(esa)], [zf_stmt_2])).
% 4.55/1.33  thf(zip_derived_cl3789, plain, (~ (c_in @ v_xa @ v_S @ t_a)),
% 4.55/1.33      inference('demod', [status(thm)], [zip_derived_cl3788, zip_derived_cl579])).
% 4.55/1.33  thf(zip_derived_cl3792, plain,
% 4.55/1.33      ( (c_in @ (v_sko__4mP @ v_xa @ v_S @ v_r) @ v_S @ t_a)),
% 4.55/1.33      inference('demod', [status(thm)],
% 4.55/1.33                [zip_derived_cl3783, zip_derived_cl3789])).
% 4.55/1.33  thf(zip_derived_cl3793, plain, ($false),
% 4.55/1.33      inference('demod', [status(thm)],
% 4.55/1.33                [zip_derived_cl3777, zip_derived_cl3792])).
% 4.55/1.33  
% 4.55/1.33  % SZS output end Refutation
% 4.55/1.33  
% 4.55/1.33  
% 4.55/1.33  % Terminating...
% 4.98/1.45  % Runner terminated.
% 4.98/1.46  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------