TSTP Solution File: SET018-1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SET018-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.AuKsCcUJA5 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 Aug 31 16:11:47 EDT 2023

% Result   : Unsatisfiable 1.21s 0.72s
% Output   : Refutation 1.21s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.13  % Problem  : SET018-1 : TPTP v8.1.2. Released v1.0.0.
% 0.10/0.14  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.AuKsCcUJA5 true
% 0.14/0.34  % Computer : n023.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % WCLimit  : 300
% 0.14/0.34  % DateTime : Sat Aug 26 16:23:56 EDT 2023
% 0.14/0.34  % CPUTime  : 
% 0.14/0.34  % Running portfolio for 300 s
% 0.14/0.34  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.34  % Number of cores: 8
% 0.14/0.35  % Python version: Python 3.6.8
% 0.14/0.35  % Running in FO mode
% 0.20/0.56  % Total configuration time : 435
% 0.20/0.56  % Estimated wc time : 1092
% 0.20/0.56  % Estimated cpu time (7 cpus) : 156.0
% 0.95/0.64  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.95/0.67  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.95/0.68  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.95/0.68  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.95/0.68  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.95/0.69  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.95/0.69  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 1.21/0.72  % Solved by fo/fo7.sh.
% 1.21/0.72  % done 50 iterations in 0.021s
% 1.21/0.72  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.21/0.72  % SZS output start Refutation
% 1.21/0.72  thf(singleton_set_type, type, singleton_set: $i > $i).
% 1.21/0.72  thf(unordered_pair_type, type, unordered_pair: $i > $i > $i).
% 1.21/0.72  thf(r2_type, type, r2: $i).
% 1.21/0.72  thf(member_type, type, member: $i > $i > $o).
% 1.21/0.72  thf(m1_type, type, m1: $i).
% 1.21/0.72  thf(m2_type, type, m2: $i).
% 1.21/0.72  thf(ordered_pair_type, type, ordered_pair: $i > $i > $i).
% 1.21/0.72  thf(r1_type, type, r1: $i).
% 1.21/0.72  thf(equal_ordered_pairs, axiom,
% 1.21/0.72    (( ordered_pair @ m1 @ r1 ) = ( ordered_pair @ m2 @ r2 ))).
% 1.21/0.72  thf(zip_derived_cl6, plain,
% 1.21/0.72      (((ordered_pair @ m1 @ r1) = (ordered_pair @ m2 @ r2))),
% 1.21/0.72      inference('cnf', [status(esa)], [equal_ordered_pairs])).
% 1.21/0.72  thf(ordered_pair, axiom,
% 1.21/0.72    (( ordered_pair @ X @ Y ) =
% 1.21/0.72     ( unordered_pair @ ( singleton_set @ X ) @ ( unordered_pair @ X @ Y ) ))).
% 1.21/0.72  thf(zip_derived_cl5, plain,
% 1.21/0.72      (![X0 : $i, X1 : $i]:
% 1.21/0.72         ((ordered_pair @ X0 @ X1)
% 1.21/0.72           = (unordered_pair @ (singleton_set @ X0) @ 
% 1.21/0.72              (unordered_pair @ X0 @ X1)))),
% 1.21/0.72      inference('cnf', [status(esa)], [ordered_pair])).
% 1.21/0.72  thf(zip_derived_cl11, plain,
% 1.21/0.72      (((unordered_pair @ (singleton_set @ m1) @ (unordered_pair @ m1 @ r1))
% 1.21/0.72         = (ordered_pair @ m2 @ r2))),
% 1.21/0.72      inference('demod', [status(thm)], [zip_derived_cl6, zip_derived_cl5])).
% 1.21/0.72  thf(unordered_pair_1, axiom, (member @ X @ ( unordered_pair @ X @ Y ))).
% 1.21/0.72  thf(zip_derived_cl2, plain,
% 1.21/0.72      (![X0 : $i, X1 : $i]:  (member @ X0 @ (unordered_pair @ X0 @ X1))),
% 1.21/0.72      inference('cnf', [status(esa)], [unordered_pair_1])).
% 1.21/0.72  thf(zip_derived_cl11, plain,
% 1.21/0.72      (((unordered_pair @ (singleton_set @ m1) @ (unordered_pair @ m1 @ r1))
% 1.21/0.72         = (ordered_pair @ m2 @ r2))),
% 1.21/0.72      inference('demod', [status(thm)], [zip_derived_cl6, zip_derived_cl5])).
% 1.21/0.72  thf(zip_derived_cl5, plain,
% 1.21/0.72      (![X0 : $i, X1 : $i]:
% 1.21/0.72         ((ordered_pair @ X0 @ X1)
% 1.21/0.72           = (unordered_pair @ (singleton_set @ X0) @ 
% 1.21/0.72              (unordered_pair @ X0 @ X1)))),
% 1.21/0.72      inference('cnf', [status(esa)], [ordered_pair])).
% 1.21/0.72  thf(zip_derived_cl12, plain,
% 1.21/0.72      (((unordered_pair @ (singleton_set @ m1) @ (unordered_pair @ m1 @ r1))
% 1.21/0.72         = (unordered_pair @ (singleton_set @ m2) @ (unordered_pair @ m2 @ r2)))),
% 1.21/0.72      inference('sup+', [status(thm)], [zip_derived_cl11, zip_derived_cl5])).
% 1.21/0.72  thf(unordered_pair_3, axiom,
% 1.21/0.72    (( ~( member @ X @ ( unordered_pair @ Y @ Z ) ) ) | ( ( X ) = ( Y ) ) | 
% 1.21/0.72     ( ( X ) = ( Z ) ))).
% 1.21/0.72  thf(zip_derived_cl4, plain,
% 1.21/0.72      (![X0 : $i, X1 : $i, X2 : $i]:
% 1.21/0.72         (~ (member @ X0 @ (unordered_pair @ X1 @ X2))
% 1.21/0.72          | ((X0) = (X1))
% 1.21/0.72          | ((X0) = (X2)))),
% 1.21/0.72      inference('cnf', [status(esa)], [unordered_pair_3])).
% 1.21/0.72  thf(zip_derived_cl15, plain,
% 1.21/0.72      (![X0 : $i]:
% 1.21/0.72         (~ (member @ X0 @ 
% 1.21/0.72             (unordered_pair @ (singleton_set @ m1) @ 
% 1.21/0.72              (unordered_pair @ m1 @ r1)))
% 1.21/0.72          | ((X0) = (unordered_pair @ m2 @ r2))
% 1.21/0.72          | ((X0) = (singleton_set @ m2)))),
% 1.21/0.72      inference('sup-', [status(thm)], [zip_derived_cl12, zip_derived_cl4])).
% 1.21/0.72  thf(zip_derived_cl16, plain,
% 1.21/0.72      ((((singleton_set @ m1) = (singleton_set @ m2))
% 1.21/0.72        | ((singleton_set @ m1) = (unordered_pair @ m2 @ r2)))),
% 1.21/0.72      inference('sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl15])).
% 1.21/0.72  thf(zip_derived_cl2, plain,
% 1.21/0.72      (![X0 : $i, X1 : $i]:  (member @ X0 @ (unordered_pair @ X0 @ X1))),
% 1.21/0.72      inference('cnf', [status(esa)], [unordered_pair_1])).
% 1.21/0.72  thf(zip_derived_cl18, plain,
% 1.21/0.72      (( (member @ m2 @ (singleton_set @ m1))
% 1.21/0.72        | ((singleton_set @ m1) = (singleton_set @ m2)))),
% 1.21/0.72      inference('sup+', [status(thm)], [zip_derived_cl16, zip_derived_cl2])).
% 1.21/0.72  thf(singleton_2, axiom,
% 1.21/0.72    (( ~( member @ X @ ( singleton_set @ Y ) ) ) | ( ( X ) = ( Y ) ))).
% 1.21/0.72  thf(zip_derived_cl1, plain,
% 1.21/0.72      (![X0 : $i, X1 : $i]:
% 1.21/0.72         (~ (member @ X0 @ (singleton_set @ X1)) | ((X0) = (X1)))),
% 1.21/0.72      inference('cnf', [status(esa)], [singleton_2])).
% 1.21/0.72  thf(zip_derived_cl40, plain, (((singleton_set @ m1) = (singleton_set @ m2))),
% 1.21/0.72      inference('clc', [status(thm)], [zip_derived_cl18, zip_derived_cl1])).
% 1.21/0.72  thf(singleton_1, axiom, (member @ X @ ( singleton_set @ X ))).
% 1.21/0.72  thf(zip_derived_cl0, plain,
% 1.21/0.72      (![X0 : $i]:  (member @ X0 @ (singleton_set @ X0))),
% 1.21/0.72      inference('cnf', [status(esa)], [singleton_1])).
% 1.21/0.72  thf(zip_derived_cl44, plain, ( (member @ m2 @ (singleton_set @ m1))),
% 1.21/0.72      inference('sup+', [status(thm)], [zip_derived_cl40, zip_derived_cl0])).
% 1.21/0.72  thf(zip_derived_cl1, plain,
% 1.21/0.72      (![X0 : $i, X1 : $i]:
% 1.21/0.72         (~ (member @ X0 @ (singleton_set @ X1)) | ((X0) = (X1)))),
% 1.21/0.72      inference('cnf', [status(esa)], [singleton_2])).
% 1.21/0.72  thf(zip_derived_cl46, plain, (((m2) = (m1))),
% 1.21/0.72      inference('sup-', [status(thm)], [zip_derived_cl44, zip_derived_cl1])).
% 1.21/0.72  thf(zip_derived_cl5, plain,
% 1.21/0.72      (![X0 : $i, X1 : $i]:
% 1.21/0.72         ((ordered_pair @ X0 @ X1)
% 1.21/0.72           = (unordered_pair @ (singleton_set @ X0) @ 
% 1.21/0.72              (unordered_pair @ X0 @ X1)))),
% 1.21/0.72      inference('cnf', [status(esa)], [ordered_pair])).
% 1.21/0.72  thf(zip_derived_cl47, plain,
% 1.21/0.72      (((unordered_pair @ (singleton_set @ m1) @ (unordered_pair @ m1 @ r1))
% 1.21/0.72         = (unordered_pair @ (singleton_set @ m1) @ (unordered_pair @ m1 @ r2)))),
% 1.21/0.72      inference('demod', [status(thm)],
% 1.21/0.72                [zip_derived_cl11, zip_derived_cl46, zip_derived_cl5])).
% 1.21/0.72  thf(unordered_pair_2, axiom, (member @ Y @ ( unordered_pair @ X @ Y ))).
% 1.21/0.72  thf(zip_derived_cl3, plain,
% 1.21/0.72      (![X0 : $i, X1 : $i]:  (member @ X0 @ (unordered_pair @ X1 @ X0))),
% 1.21/0.72      inference('cnf', [status(esa)], [unordered_pair_2])).
% 1.21/0.72  thf(zip_derived_cl3, plain,
% 1.21/0.72      (![X0 : $i, X1 : $i]:  (member @ X0 @ (unordered_pair @ X1 @ X0))),
% 1.21/0.72      inference('cnf', [status(esa)], [unordered_pair_2])).
% 1.21/0.72  thf(zip_derived_cl15, plain,
% 1.21/0.72      (![X0 : $i]:
% 1.21/0.72         (~ (member @ X0 @ 
% 1.21/0.72             (unordered_pair @ (singleton_set @ m1) @ 
% 1.21/0.72              (unordered_pair @ m1 @ r1)))
% 1.21/0.72          | ((X0) = (unordered_pair @ m2 @ r2))
% 1.21/0.72          | ((X0) = (singleton_set @ m2)))),
% 1.21/0.72      inference('sup-', [status(thm)], [zip_derived_cl12, zip_derived_cl4])).
% 1.21/0.72  thf(zip_derived_cl17, plain,
% 1.21/0.72      ((((unordered_pair @ m1 @ r1) = (singleton_set @ m2))
% 1.21/0.72        | ((unordered_pair @ m1 @ r1) = (unordered_pair @ m2 @ r2)))),
% 1.21/0.72      inference('sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl15])).
% 1.21/0.72  thf(zip_derived_cl40, plain, (((singleton_set @ m1) = (singleton_set @ m2))),
% 1.21/0.72      inference('clc', [status(thm)], [zip_derived_cl18, zip_derived_cl1])).
% 1.21/0.72  thf(zip_derived_cl43, plain,
% 1.21/0.72      ((((unordered_pair @ m1 @ r1) = (singleton_set @ m1))
% 1.21/0.72        | ((unordered_pair @ m1 @ r1) = (unordered_pair @ m2 @ r2)))),
% 1.21/0.72      inference('demod', [status(thm)], [zip_derived_cl17, zip_derived_cl40])).
% 1.21/0.72  thf(zip_derived_cl46, plain, (((m2) = (m1))),
% 1.21/0.72      inference('sup-', [status(thm)], [zip_derived_cl44, zip_derived_cl1])).
% 1.21/0.72  thf(zip_derived_cl49, plain,
% 1.21/0.72      ((((unordered_pair @ m1 @ r1) = (singleton_set @ m1))
% 1.21/0.72        | ((unordered_pair @ m1 @ r1) = (unordered_pair @ m1 @ r2)))),
% 1.21/0.72      inference('demod', [status(thm)], [zip_derived_cl43, zip_derived_cl46])).
% 1.21/0.72  thf(zip_derived_cl4, plain,
% 1.21/0.72      (![X0 : $i, X1 : $i, X2 : $i]:
% 1.21/0.72         (~ (member @ X0 @ (unordered_pair @ X1 @ X2))
% 1.21/0.72          | ((X0) = (X1))
% 1.21/0.72          | ((X0) = (X2)))),
% 1.21/0.72      inference('cnf', [status(esa)], [unordered_pair_3])).
% 1.21/0.72  thf(zip_derived_cl52, plain,
% 1.21/0.72      (![X0 : $i]:
% 1.21/0.72         (~ (member @ X0 @ (unordered_pair @ m1 @ r1))
% 1.21/0.72          | ((unordered_pair @ m1 @ r1) = (singleton_set @ m1))
% 1.21/0.72          | ((X0) = (r2))
% 1.21/0.72          | ((X0) = (m1)))),
% 1.21/0.72      inference('sup-', [status(thm)], [zip_derived_cl49, zip_derived_cl4])).
% 1.21/0.72  thf(zip_derived_cl87, plain,
% 1.21/0.72      ((((r1) = (m1))
% 1.21/0.72        | ((r1) = (r2))
% 1.21/0.72        | ((unordered_pair @ m1 @ r1) = (singleton_set @ m1)))),
% 1.21/0.72      inference('sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl52])).
% 1.21/0.72  thf(prove_second_components_equal, conjecture, (( r1 ) = ( r2 ))).
% 1.21/0.72  thf(zf_stmt_0, negated_conjecture, (( r1 ) != ( r2 )),
% 1.21/0.72    inference('cnf.neg', [status(esa)], [prove_second_components_equal])).
% 1.21/0.72  thf(zip_derived_cl7, plain, (((r1) != (r2))),
% 1.21/0.72      inference('cnf', [status(esa)], [zf_stmt_0])).
% 1.21/0.72  thf(zip_derived_cl91, plain,
% 1.21/0.72      ((((r1) = (m1)) | ((unordered_pair @ m1 @ r1) = (singleton_set @ m1)))),
% 1.21/0.72      inference('simplify_reflect-', [status(thm)],
% 1.21/0.72                [zip_derived_cl87, zip_derived_cl7])).
% 1.21/0.72  thf(zip_derived_cl3, plain,
% 1.21/0.72      (![X0 : $i, X1 : $i]:  (member @ X0 @ (unordered_pair @ X1 @ X0))),
% 1.21/0.72      inference('cnf', [status(esa)], [unordered_pair_2])).
% 1.21/0.72  thf(zip_derived_cl95, plain,
% 1.21/0.72      (( (member @ r1 @ (singleton_set @ m1)) | ((r1) = (m1)))),
% 1.21/0.72      inference('sup+', [status(thm)], [zip_derived_cl91, zip_derived_cl3])).
% 1.21/0.72  thf(zip_derived_cl1, plain,
% 1.21/0.72      (![X0 : $i, X1 : $i]:
% 1.21/0.72         (~ (member @ X0 @ (singleton_set @ X1)) | ((X0) = (X1)))),
% 1.21/0.72      inference('cnf', [status(esa)], [singleton_2])).
% 1.21/0.72  thf(zip_derived_cl103, plain, (((r1) = (m1))),
% 1.21/0.72      inference('clc', [status(thm)], [zip_derived_cl95, zip_derived_cl1])).
% 1.21/0.72  thf(zip_derived_cl49, plain,
% 1.21/0.72      ((((unordered_pair @ m1 @ r1) = (singleton_set @ m1))
% 1.21/0.72        | ((unordered_pair @ m1 @ r1) = (unordered_pair @ m1 @ r2)))),
% 1.21/0.72      inference('demod', [status(thm)], [zip_derived_cl43, zip_derived_cl46])).
% 1.21/0.72  thf(zip_derived_cl3, plain,
% 1.21/0.72      (![X0 : $i, X1 : $i]:  (member @ X0 @ (unordered_pair @ X1 @ X0))),
% 1.21/0.72      inference('cnf', [status(esa)], [unordered_pair_2])).
% 1.21/0.72  thf(zip_derived_cl51, plain,
% 1.21/0.72      (( (member @ r2 @ (unordered_pair @ m1 @ r1))
% 1.21/0.72        | ((unordered_pair @ m1 @ r1) = (singleton_set @ m1)))),
% 1.21/0.72      inference('sup+', [status(thm)], [zip_derived_cl49, zip_derived_cl3])).
% 1.21/0.72  thf(zip_derived_cl4, plain,
% 1.21/0.72      (![X0 : $i, X1 : $i, X2 : $i]:
% 1.21/0.72         (~ (member @ X0 @ (unordered_pair @ X1 @ X2))
% 1.21/0.72          | ((X0) = (X1))
% 1.21/0.72          | ((X0) = (X2)))),
% 1.21/0.72      inference('cnf', [status(esa)], [unordered_pair_3])).
% 1.21/0.72  thf(zip_derived_cl58, plain,
% 1.21/0.72      ((((unordered_pair @ m1 @ r1) = (singleton_set @ m1))
% 1.21/0.72        | ((r2) = (r1))
% 1.21/0.72        | ((r2) = (m1)))),
% 1.21/0.72      inference('sup-', [status(thm)], [zip_derived_cl51, zip_derived_cl4])).
% 1.21/0.72  thf(zip_derived_cl7, plain, (((r1) != (r2))),
% 1.21/0.72      inference('cnf', [status(esa)], [zf_stmt_0])).
% 1.21/0.72  thf(zip_derived_cl59, plain,
% 1.21/0.72      ((((unordered_pair @ m1 @ r1) = (singleton_set @ m1)) | ((r2) = (m1)))),
% 1.21/0.72      inference('simplify_reflect-', [status(thm)],
% 1.21/0.72                [zip_derived_cl58, zip_derived_cl7])).
% 1.21/0.72  thf(zip_derived_cl7, plain, (((r1) != (r2))),
% 1.21/0.72      inference('cnf', [status(esa)], [zf_stmt_0])).
% 1.21/0.72  thf(zip_derived_cl60, plain,
% 1.21/0.72      ((((r1) != (m1)) | ((unordered_pair @ m1 @ r1) = (singleton_set @ m1)))),
% 1.21/0.72      inference('sup-', [status(thm)], [zip_derived_cl59, zip_derived_cl7])).
% 1.21/0.72  thf(zip_derived_cl64, plain,
% 1.21/0.72      ((((r1) != (m1)) | ((unordered_pair @ m1 @ m1) = (singleton_set @ m1)))),
% 1.21/0.72      inference('local_rewriting', [status(thm)], [zip_derived_cl60])).
% 1.21/0.72  thf(zip_derived_cl103, plain, (((r1) = (m1))),
% 1.21/0.72      inference('clc', [status(thm)], [zip_derived_cl95, zip_derived_cl1])).
% 1.21/0.72  thf(zip_derived_cl110, plain,
% 1.21/0.72      ((((m1) != (m1)) | ((unordered_pair @ m1 @ m1) = (singleton_set @ m1)))),
% 1.21/0.72      inference('demod', [status(thm)], [zip_derived_cl64, zip_derived_cl103])).
% 1.21/0.72  thf(zip_derived_cl111, plain,
% 1.21/0.72      (((unordered_pair @ m1 @ m1) = (singleton_set @ m1))),
% 1.21/0.72      inference('simplify', [status(thm)], [zip_derived_cl110])).
% 1.21/0.72  thf(zip_derived_cl121, plain,
% 1.21/0.72      (((unordered_pair @ (singleton_set @ m1) @ (singleton_set @ m1))
% 1.21/0.72         = (unordered_pair @ (singleton_set @ m1) @ (unordered_pair @ m1 @ r2)))),
% 1.21/0.72      inference('demod', [status(thm)],
% 1.21/0.72                [zip_derived_cl47, zip_derived_cl103, zip_derived_cl111])).
% 1.21/0.72  thf(zip_derived_cl3, plain,
% 1.21/0.72      (![X0 : $i, X1 : $i]:  (member @ X0 @ (unordered_pair @ X1 @ X0))),
% 1.21/0.72      inference('cnf', [status(esa)], [unordered_pair_2])).
% 1.21/0.72  thf(zip_derived_cl123, plain,
% 1.21/0.72      ( (member @ (unordered_pair @ m1 @ r2) @ 
% 1.21/0.72         (unordered_pair @ (singleton_set @ m1) @ (singleton_set @ m1)))),
% 1.21/0.72      inference('sup+', [status(thm)], [zip_derived_cl121, zip_derived_cl3])).
% 1.21/0.72  thf(zip_derived_cl4, plain,
% 1.21/0.72      (![X0 : $i, X1 : $i, X2 : $i]:
% 1.21/0.72         (~ (member @ X0 @ (unordered_pair @ X1 @ X2))
% 1.21/0.72          | ((X0) = (X1))
% 1.21/0.72          | ((X0) = (X2)))),
% 1.21/0.72      inference('cnf', [status(esa)], [unordered_pair_3])).
% 1.21/0.72  thf(zip_derived_cl127, plain,
% 1.21/0.72      ((((unordered_pair @ m1 @ r2) = (singleton_set @ m1))
% 1.21/0.72        | ((unordered_pair @ m1 @ r2) = (singleton_set @ m1)))),
% 1.21/0.72      inference('sup-', [status(thm)], [zip_derived_cl123, zip_derived_cl4])).
% 1.21/0.72  thf(zip_derived_cl128, plain,
% 1.21/0.72      (((unordered_pair @ m1 @ r2) = (singleton_set @ m1))),
% 1.21/0.72      inference('simplify', [status(thm)], [zip_derived_cl127])).
% 1.21/0.72  thf(zip_derived_cl3, plain,
% 1.21/0.72      (![X0 : $i, X1 : $i]:  (member @ X0 @ (unordered_pair @ X1 @ X0))),
% 1.21/0.72      inference('cnf', [status(esa)], [unordered_pair_2])).
% 1.21/0.72  thf(zip_derived_cl131, plain, ( (member @ r2 @ (singleton_set @ m1))),
% 1.21/0.72      inference('sup+', [status(thm)], [zip_derived_cl128, zip_derived_cl3])).
% 1.21/0.72  thf(zip_derived_cl1, plain,
% 1.21/0.72      (![X0 : $i, X1 : $i]:
% 1.21/0.72         (~ (member @ X0 @ (singleton_set @ X1)) | ((X0) = (X1)))),
% 1.21/0.72      inference('cnf', [status(esa)], [singleton_2])).
% 1.21/0.72  thf(zip_derived_cl133, plain, (((r2) = (m1))),
% 1.21/0.72      inference('sup-', [status(thm)], [zip_derived_cl131, zip_derived_cl1])).
% 1.21/0.72  thf(zip_derived_cl7, plain, (((r1) != (r2))),
% 1.21/0.72      inference('cnf', [status(esa)], [zf_stmt_0])).
% 1.21/0.72  thf(zip_derived_cl103, plain, (((r1) = (m1))),
% 1.21/0.72      inference('clc', [status(thm)], [zip_derived_cl95, zip_derived_cl1])).
% 1.21/0.72  thf(zip_derived_cl104, plain, (((m1) != (r2))),
% 1.21/0.72      inference('demod', [status(thm)], [zip_derived_cl7, zip_derived_cl103])).
% 1.21/0.72  thf(zip_derived_cl134, plain, ($false),
% 1.21/0.72      inference('simplify_reflect-', [status(thm)],
% 1.21/0.72                [zip_derived_cl133, zip_derived_cl104])).
% 1.21/0.72  
% 1.21/0.72  % SZS output end Refutation
% 1.21/0.72  
% 1.21/0.72  
% 1.21/0.72  % Terminating...
% 1.21/0.78  % Runner terminated.
% 1.59/0.79  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------