%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SET018-6 : TPTP v9.2.0. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.23iL3EuJys 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 04:51:10 PM UTC 2025
% Result : Unsatisfiable 3.48s 3.63s
% Output : Refutation 3.48s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/1.17 % Problem : SET018-6 : TPTP v9.2.0. Bugfixed v2.1.0.
% 0.13/1.26 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.23iL3EuJys true
% 0.14/1.68 % Computer : n023.cluster.edu
% 0.14/1.68 % Model : x86_64 x86_64
% 0.14/1.68 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/1.68 % Memory : 8042.1875MB
% 0.14/1.68 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/1.68 % CPULimit : 300
% 0.14/1.68 % WCLimit : 300
% 0.14/1.68 % DateTime : Wed Oct 1 13:06:54 EDT 2025
% 0.14/1.69 % CPUTime :
% 0.14/1.69 % Running portfolio for 300 s
% 0.14/1.69 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/1.71 % Number of cores: 8
% 0.21/1.72 % Python version: Python 3.6.8
% 0.21/1.74 % Running in FO mode
% 0.55/2.46 % Total configuration time : 435
% 0.55/2.46 % Estimated wc time : 1092
% 0.55/2.46 % Estimated cpu time (7 cpus) : 156.0
% 0.59/2.79 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.59/2.83 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 1.42/2.85 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 1.42/2.87 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 1.42/2.88 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 1.42/2.92 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 1.43/2.95 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 1.46/3.13 % /export/starexec/sandbox/solver/bin/fo/fo1_lcnf.sh running for 50s
% 3.48/3.63 % Solved by fo/fo7.sh.
% 3.48/3.63 % done 262 iterations in 0.595s
% 3.48/3.63 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 3.48/3.63 % SZS output start Refutation
% 3.48/3.63 thf(universal_class_type, type, universal_class: $i).
% 3.48/3.63 thf(member_type, type, member: $i > $i > $o).
% 3.48/3.63 thf(w_type, type, w: $i).
% 3.48/3.63 thf(unordered_pair_type, type, unordered_pair: $i > $i > $i).
% 3.48/3.63 thf(y_type, type, y: $i).
% 3.48/3.63 thf(x_type, type, x: $i).
% 3.48/3.63 thf(z_type, type, z: $i).
% 3.48/3.63 thf(singleton_type, type, singleton: $i > $i).
% 3.48/3.63 thf(cross_product_type, type, cross_product: $i > $i > $i).
% 3.48/3.63 thf(ordered_pair_type, type, ordered_pair: $i > $i > $i).
% 3.48/3.63 thf(prove_ordered_pair_determines_components2_2, conjecture,
% 3.48/3.63 (~( member @ x @ universal_class ))).
% 3.48/3.63 thf(zf_stmt_0, negated_conjecture, (member @ x @ universal_class),
% 3.48/3.63 inference('cnf.neg', [status(esa)],
% 3.48/3.63 [prove_ordered_pair_determines_components2_2])).
% 3.48/3.63 thf(zip_derived_cl39, plain, ( (member @ x @ universal_class)),
% 3.48/3.63 inference('cnf', [status(esa)], [zf_stmt_0])).
% 3.48/3.63 thf(unordered_pair2, axiom,
% 3.48/3.63 (( ~( member @ X @ universal_class ) ) |
% 3.48/3.63 ( member @ X @ ( unordered_pair @ X @ Y ) ))).
% 3.48/3.63 thf(zip_derived_cl6, plain,
% 3.48/3.63 (![X0 : $i, X1 : $i]:
% 3.48/3.63 (~ (member @ X0 @ universal_class)
% 3.48/3.63 | (member @ X0 @ (unordered_pair @ X0 @ X1)))),
% 3.48/3.63 inference('cnf', [status(esa)], [unordered_pair2])).
% 3.48/3.63 thf(zip_derived_cl66, plain,
% 3.48/3.63 (![X0 : $i]: (member @ x @ (unordered_pair @ x @ X0))),
% 3.48/3.63 inference('sup-', [status(thm)], [zip_derived_cl39, zip_derived_cl6])).
% 3.48/3.63 thf(prove_ordered_pair_determines_components2_1, conjecture,
% 3.48/3.63 (( ordered_pair @ w @ x ) != ( ordered_pair @ y @ z ))).
% 3.48/3.63 thf(zf_stmt_1, negated_conjecture,
% 3.48/3.63 (( ordered_pair @ w @ x ) = ( ordered_pair @ y @ z )),
% 3.48/3.63 inference('cnf.neg', [status(esa)],
% 3.48/3.63 [prove_ordered_pair_determines_components2_1])).
% 3.48/3.63 thf(zip_derived_cl40, plain,
% 3.48/3.63 (((ordered_pair @ w @ x) = (ordered_pair @ y @ z))),
% 3.48/3.63 inference('cnf', [status(esa)], [zf_stmt_1])).
% 3.48/3.63 thf(ordered_pair, axiom,
% 3.48/3.63 (( unordered_pair @
% 3.48/3.63 ( singleton @ X ) @ ( unordered_pair @ X @ ( singleton @ Y ) ) ) =
% 3.48/3.63 ( ordered_pair @ X @ Y ))).
% 3.48/3.63 thf(zip_derived_cl10, plain,
% 3.48/3.63 (![X0 : $i, X1 : $i]:
% 3.48/3.63 ((unordered_pair @ (singleton @ X0) @
% 3.48/3.63 (unordered_pair @ X0 @ (singleton @ X1))) = (ordered_pair @ X0 @ X1))),
% 3.48/3.63 inference('cnf', [status(esa)], [ordered_pair])).
% 3.48/3.63 thf(singleton_set, axiom, (( unordered_pair @ X @ X ) = ( singleton @ X ))).
% 3.48/3.63 thf(zip_derived_cl9, plain,
% 3.48/3.63 (![X0 : $i]: ((unordered_pair @ X0 @ X0) = (singleton @ X0))),
% 3.48/3.63 inference('cnf', [status(esa)], [singleton_set])).
% 3.48/3.63 thf(zip_derived_cl9, plain,
% 3.48/3.63 (![X0 : $i]: ((unordered_pair @ X0 @ X0) = (singleton @ X0))),
% 3.48/3.63 inference('cnf', [status(esa)], [singleton_set])).
% 3.48/3.63 thf(zip_derived_cl59, plain,
% 3.48/3.63 (![X0 : $i, X1 : $i]:
% 3.48/3.63 ((unordered_pair @ (unordered_pair @ X0 @ X0) @
% 3.48/3.63 (unordered_pair @ X0 @ (unordered_pair @ X1 @ X1)))
% 3.48/3.63 = (ordered_pair @ X0 @ X1))),
% 3.48/3.63 inference('demod', [status(thm)],
% 3.48/3.63 [zip_derived_cl10, zip_derived_cl9, zip_derived_cl9])).
% 3.48/3.63 thf(zip_derived_cl60, plain,
% 3.48/3.63 (((unordered_pair @ (unordered_pair @ w @ w) @
% 3.48/3.63 (unordered_pair @ w @ (unordered_pair @ x @ x)))
% 3.48/3.63 = (ordered_pair @ y @ z))),
% 3.48/3.63 inference('demod', [status(thm)], [zip_derived_cl40, zip_derived_cl59])).
% 3.48/3.63 thf(zip_derived_cl59, plain,
% 3.48/3.63 (![X0 : $i, X1 : $i]:
% 3.48/3.63 ((unordered_pair @ (unordered_pair @ X0 @ X0) @
% 3.48/3.63 (unordered_pair @ X0 @ (unordered_pair @ X1 @ X1)))
% 3.48/3.63 = (ordered_pair @ X0 @ X1))),
% 3.48/3.63 inference('demod', [status(thm)],
% 3.48/3.63 [zip_derived_cl10, zip_derived_cl9, zip_derived_cl9])).
% 3.48/3.63 thf(zip_derived_cl80, plain,
% 3.48/3.63 (((unordered_pair @ (unordered_pair @ y @ y) @
% 3.48/3.63 (unordered_pair @ y @ (unordered_pair @ z @ z)))
% 3.48/3.63 = (unordered_pair @ (unordered_pair @ w @ w) @
% 3.48/3.63 (unordered_pair @ w @ (unordered_pair @ x @ x))))),
% 3.48/3.63 inference('sup+', [status(thm)], [zip_derived_cl60, zip_derived_cl59])).
% 3.48/3.63 thf(unordered_pairs_in_universal, axiom,
% 3.48/3.63 (member @ ( unordered_pair @ X @ Y ) @ universal_class)).
% 3.48/3.63 thf(zip_derived_cl8, plain,
% 3.48/3.63 (![X0 : $i, X1 : $i]:
% 3.48/3.63 (member @ (unordered_pair @ X0 @ X1) @ universal_class)),
% 3.48/3.63 inference('cnf', [status(esa)], [unordered_pairs_in_universal])).
% 3.48/3.63 thf(unordered_pair3, axiom,
% 3.48/3.63 (( ~( member @ Y @ universal_class ) ) |
% 3.48/3.63 ( member @ Y @ ( unordered_pair @ X @ Y ) ))).
% 3.48/3.63 thf(zip_derived_cl7, plain,
% 3.48/3.63 (![X0 : $i, X1 : $i]:
% 3.48/3.63 (~ (member @ X0 @ universal_class)
% 3.48/3.63 | (member @ X0 @ (unordered_pair @ X1 @ X0)))),
% 3.48/3.63 inference('cnf', [status(esa)], [unordered_pair3])).
% 3.48/3.63 thf(zip_derived_cl67, plain,
% 3.48/3.63 (![X0 : $i, X1 : $i, X2 : $i]:
% 3.48/3.63 (member @ (unordered_pair @ X1 @ X0) @
% 3.48/3.63 (unordered_pair @ X2 @ (unordered_pair @ X1 @ X0)))),
% 3.48/3.63 inference('sup-', [status(thm)], [zip_derived_cl8, zip_derived_cl7])).
% 3.48/3.63 thf(zip_derived_cl146, plain,
% 3.48/3.63 ( (member @ (unordered_pair @ y @ (unordered_pair @ z @ z)) @
% 3.48/3.63 (unordered_pair @ (unordered_pair @ w @ w) @
% 3.48/3.63 (unordered_pair @ w @ (unordered_pair @ x @ x))))),
% 3.48/3.63 inference('sup+', [status(thm)], [zip_derived_cl80, zip_derived_cl67])).
% 3.48/3.63 thf(unordered_pair_member, axiom,
% 3.48/3.63 (( ~( member @ U @ ( unordered_pair @ X @ Y ) ) ) | ( ( U ) = ( X ) ) |
% 3.48/3.63 ( ( U ) = ( Y ) ))).
% 3.48/3.63 thf(zip_derived_cl5, plain,
% 3.48/3.63 (![X0 : $i, X1 : $i, X2 : $i]:
% 3.48/3.63 (~ (member @ X0 @ (unordered_pair @ X1 @ X2))
% 3.48/3.63 | ((X0) = (X1))
% 3.48/3.63 | ((X0) = (X2)))),
% 3.48/3.63 inference('cnf', [status(esa)], [unordered_pair_member])).
% 3.48/3.63 thf(zip_derived_cl452, plain,
% 3.48/3.63 ((((unordered_pair @ y @ (unordered_pair @ z @ z))
% 3.48/3.63 = (unordered_pair @ w @ (unordered_pair @ x @ x)))
% 3.48/3.63 | ((unordered_pair @ y @ (unordered_pair @ z @ z))
% 3.48/3.63 = (unordered_pair @ w @ w)))),
% 3.48/3.63 inference('sup-', [status(thm)], [zip_derived_cl146, zip_derived_cl5])).
% 3.48/3.63 thf(zip_derived_cl67, plain,
% 3.48/3.63 (![X0 : $i, X1 : $i, X2 : $i]:
% 3.48/3.63 (member @ (unordered_pair @ X1 @ X0) @
% 3.48/3.63 (unordered_pair @ X2 @ (unordered_pair @ X1 @ X0)))),
% 3.48/3.63 inference('sup-', [status(thm)], [zip_derived_cl8, zip_derived_cl7])).
% 3.48/3.63 thf(zip_derived_cl467, plain,
% 3.48/3.63 (( (member @ (unordered_pair @ z @ z) @
% 3.48/3.63 (unordered_pair @ w @ (unordered_pair @ x @ x)))
% 3.48/3.63 | ((unordered_pair @ y @ (unordered_pair @ z @ z))
% 3.48/3.63 = (unordered_pair @ w @ w)))),
% 3.48/3.63 inference('sup+', [status(thm)], [zip_derived_cl452, zip_derived_cl67])).
% 3.48/3.63 thf(zip_derived_cl5, plain,
% 3.48/3.63 (![X0 : $i, X1 : $i, X2 : $i]:
% 3.48/3.63 (~ (member @ X0 @ (unordered_pair @ X1 @ X2))
% 3.48/3.63 | ((X0) = (X1))
% 3.48/3.63 | ((X0) = (X2)))),
% 3.48/3.63 inference('cnf', [status(esa)], [unordered_pair_member])).
% 3.48/3.63 thf(zip_derived_cl487, plain,
% 3.48/3.63 ((((unordered_pair @ y @ (unordered_pair @ z @ z))
% 3.48/3.63 = (unordered_pair @ w @ w))
% 3.48/3.63 | ((unordered_pair @ z @ z) = (unordered_pair @ x @ x))
% 3.48/3.63 | ((unordered_pair @ z @ z) = (w)))),
% 3.48/3.63 inference('sup-', [status(thm)], [zip_derived_cl467, zip_derived_cl5])).
% 3.48/3.63 thf(zip_derived_cl67, plain,
% 3.48/3.63 (![X0 : $i, X1 : $i, X2 : $i]:
% 3.48/3.63 (member @ (unordered_pair @ X1 @ X0) @
% 3.48/3.63 (unordered_pair @ X2 @ (unordered_pair @ X1 @ X0)))),
% 3.48/3.63 inference('sup-', [status(thm)], [zip_derived_cl8, zip_derived_cl7])).
% 3.48/3.63 thf(zip_derived_cl504, plain,
% 3.48/3.63 (( (member @ (unordered_pair @ z @ z) @ (unordered_pair @ w @ w))
% 3.48/3.63 | ((unordered_pair @ z @ z) = (w))
% 3.48/3.63 | ((unordered_pair @ z @ z) = (unordered_pair @ x @ x)))),
% 3.48/3.63 inference('sup+', [status(thm)], [zip_derived_cl487, zip_derived_cl67])).
% 3.48/3.63 thf(zip_derived_cl5, plain,
% 3.48/3.63 (![X0 : $i, X1 : $i, X2 : $i]:
% 3.48/3.63 (~ (member @ X0 @ (unordered_pair @ X1 @ X2))
% 3.48/3.63 | ((X0) = (X1))
% 3.48/3.63 | ((X0) = (X2)))),
% 3.48/3.63 inference('cnf', [status(esa)], [unordered_pair_member])).
% 3.48/3.63 thf(zip_derived_cl569, plain,
% 3.48/3.63 ((((unordered_pair @ z @ z) = (unordered_pair @ x @ x))
% 3.48/3.63 | ((unordered_pair @ z @ z) = (w))
% 3.48/3.63 | ((unordered_pair @ z @ z) = (w))
% 3.48/3.63 | ((unordered_pair @ z @ z) = (w)))),
% 3.48/3.63 inference('sup-', [status(thm)], [zip_derived_cl504, zip_derived_cl5])).
% 3.48/3.63 thf(zip_derived_cl571, plain,
% 3.48/3.63 ((((unordered_pair @ z @ z) = (w))
% 3.48/3.63 | ((unordered_pair @ z @ z) = (unordered_pair @ x @ x)))),
% 3.48/3.63 inference('simplify', [status(thm)], [zip_derived_cl569])).
% 3.48/3.63 thf(zip_derived_cl5, plain,
% 3.48/3.63 (![X0 : $i, X1 : $i, X2 : $i]:
% 3.48/3.63 (~ (member @ X0 @ (unordered_pair @ X1 @ X2))
% 3.48/3.63 | ((X0) = (X1))
% 3.48/3.63 | ((X0) = (X2)))),
% 3.48/3.63 inference('cnf', [status(esa)], [unordered_pair_member])).
% 3.48/3.63 thf(zip_derived_cl572, plain,
% 3.48/3.63 (![X0 : $i]:
% 3.48/3.63 (~ (member @ X0 @ (unordered_pair @ x @ x))
% 3.48/3.63 | ((unordered_pair @ z @ z) = (w))
% 3.48/3.63 | ((X0) = (z))
% 3.48/3.63 | ((X0) = (z)))),
% 3.48/3.63 inference('sup-', [status(thm)], [zip_derived_cl571, zip_derived_cl5])).
% 3.48/3.63 thf(zip_derived_cl613, plain,
% 3.48/3.63 (![X0 : $i]:
% 3.48/3.63 (((X0) = (z))
% 3.48/3.63 | ((unordered_pair @ z @ z) = (w))
% 3.48/3.63 | ~ (member @ X0 @ (unordered_pair @ x @ x)))),
% 3.48/3.63 inference('simplify', [status(thm)], [zip_derived_cl572])).
% 3.48/3.63 thf(zip_derived_cl619, plain,
% 3.48/3.63 ((((unordered_pair @ z @ z) = (w)) | ((x) = (z)))),
% 3.48/3.63 inference('sup-', [status(thm)], [zip_derived_cl66, zip_derived_cl613])).
% 3.48/3.63 thf(prove_ordered_pair_determines_components2_3, conjecture, (( x ) = ( z ))).
% 3.48/3.63 thf(zf_stmt_2, negated_conjecture, (( x ) != ( z )),
% 3.48/3.63 inference('cnf.neg', [status(esa)],
% 3.48/3.63 [prove_ordered_pair_determines_components2_3])).
% 3.48/3.63 thf(zip_derived_cl38, plain, (((x) != (z))),
% 3.48/3.63 inference('cnf', [status(esa)], [zf_stmt_2])).
% 3.48/3.63 thf(zip_derived_cl622, plain, (((unordered_pair @ z @ z) = (w))),
% 3.48/3.63 inference('simplify_reflect-', [status(thm)],
% 3.48/3.63 [zip_derived_cl619, zip_derived_cl38])).
% 3.48/3.63 thf(zip_derived_cl8, plain,
% 3.48/3.63 (![X0 : $i, X1 : $i]:
% 3.48/3.63 (member @ (unordered_pair @ X0 @ X1) @ universal_class)),
% 3.48/3.63 inference('cnf', [status(esa)], [unordered_pairs_in_universal])).
% 3.48/3.63 thf(zip_derived_cl632, plain, ( (member @ w @ universal_class)),
% 3.48/3.63 inference('sup+', [status(thm)], [zip_derived_cl622, zip_derived_cl8])).
% 3.48/3.63 thf(zip_derived_cl66, plain,
% 3.48/3.63 (![X0 : $i]: (member @ x @ (unordered_pair @ x @ X0))),
% 3.48/3.63 inference('sup-', [status(thm)], [zip_derived_cl39, zip_derived_cl6])).
% 3.48/3.63 thf(cartesian_product3, axiom,
% 3.48/3.63 (( ~( member @ U @ X ) ) | ( ~( member @ V @ Y ) ) |
% 3.48/3.63 ( member @ ( ordered_pair @ U @ V ) @ ( cross_product @ X @ Y ) ))).
% 3.48/3.63 thf(zip_derived_cl13, plain,
% 3.48/3.63 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 3.48/3.63 (~ (member @ X0 @ X1)
% 3.48/3.63 | ~ (member @ X2 @ X3)
% 3.48/3.63 | (member @ (ordered_pair @ X0 @ X2) @ (cross_product @ X1 @ X3)))),
% 3.48/3.63 inference('cnf', [status(esa)], [cartesian_product3])).
% 3.48/3.63 thf(zip_derived_cl59, plain,
% 3.48/3.63 (![X0 : $i, X1 : $i]:
% 3.48/3.63 ((unordered_pair @ (unordered_pair @ X0 @ X0) @
% 3.48/3.63 (unordered_pair @ X0 @ (unordered_pair @ X1 @ X1)))
% 3.48/3.63 = (ordered_pair @ X0 @ X1))),
% 3.48/3.63 inference('demod', [status(thm)],
% 3.48/3.63 [zip_derived_cl10, zip_derived_cl9, zip_derived_cl9])).
% 3.48/3.63 thf(zip_derived_cl354, plain,
% 3.48/3.63 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 3.48/3.63 (~ (member @ X0 @ X1)
% 3.48/3.63 | ~ (member @ X2 @ X3)
% 3.48/3.63 | (member @
% 3.48/3.63 (unordered_pair @ (unordered_pair @ X0 @ X0) @
% 3.48/3.63 (unordered_pair @ X0 @ (unordered_pair @ X2 @ X2))) @
% 3.48/3.63 (cross_product @ X1 @ X3)))),
% 3.48/3.63 inference('demod', [status(thm)], [zip_derived_cl13, zip_derived_cl59])).
% 3.48/3.63 thf(zip_derived_cl80, plain,
% 3.48/3.63 (((unordered_pair @ (unordered_pair @ y @ y) @
% 3.48/3.63 (unordered_pair @ y @ (unordered_pair @ z @ z)))
% 3.48/3.63 = (unordered_pair @ (unordered_pair @ w @ w) @
% 3.48/3.63 (unordered_pair @ w @ (unordered_pair @ x @ x))))),
% 3.48/3.63 inference('sup+', [status(thm)], [zip_derived_cl60, zip_derived_cl59])).
% 3.48/3.63 thf(cartesian_product2, axiom,
% 3.48/3.63 (( ~( member @ ( ordered_pair @ U @ V ) @ ( cross_product @ X @ Y ) ) ) |
% 3.48/3.63 ( member @ V @ Y ))).
% 3.48/3.63 thf(zip_derived_cl12, plain,
% 3.48/3.63 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 3.48/3.63 (~ (member @ (ordered_pair @ X0 @ X1) @ (cross_product @ X2 @ X3))
% 3.48/3.63 | (member @ X1 @ X3))),
% 3.48/3.63 inference('cnf', [status(esa)], [cartesian_product2])).
% 3.48/3.63 thf(zip_derived_cl59, plain,
% 3.48/3.63 (![X0 : $i, X1 : $i]:
% 3.48/3.63 ((unordered_pair @ (unordered_pair @ X0 @ X0) @
% 3.48/3.63 (unordered_pair @ X0 @ (unordered_pair @ X1 @ X1)))
% 3.48/3.63 = (ordered_pair @ X0 @ X1))),
% 3.48/3.63 inference('demod', [status(thm)],
% 3.48/3.63 [zip_derived_cl10, zip_derived_cl9, zip_derived_cl9])).
% 3.48/3.63 thf(zip_derived_cl70, plain,
% 3.48/3.63 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 3.48/3.63 (~ (member @
% 3.48/3.63 (unordered_pair @ (unordered_pair @ X0 @ X0) @
% 3.48/3.63 (unordered_pair @ X0 @ (unordered_pair @ X1 @ X1))) @
% 3.48/3.63 (cross_product @ X2 @ X3))
% 3.48/3.63 | (member @ X1 @ X3))),
% 3.48/3.63 inference('demod', [status(thm)], [zip_derived_cl12, zip_derived_cl59])).
% 3.48/3.63 thf(zip_derived_cl150, plain,
% 3.48/3.63 (![X0 : $i, X1 : $i]:
% 3.48/3.63 (~ (member @
% 3.48/3.63 (unordered_pair @ (unordered_pair @ w @ w) @
% 3.48/3.63 (unordered_pair @ w @ (unordered_pair @ x @ x))) @
% 3.48/3.63 (cross_product @ X1 @ X0))
% 3.48/3.63 | (member @ z @ X0))),
% 3.48/3.63 inference('sup-', [status(thm)], [zip_derived_cl80, zip_derived_cl70])).
% 3.48/3.63 thf(zip_derived_cl361, plain,
% 3.48/3.63 (![X0 : $i, X1 : $i]:
% 3.48/3.63 (~ (member @ x @ X0) | ~ (member @ w @ X1) | (member @ z @ X0))),
% 3.48/3.63 inference('sup-', [status(thm)], [zip_derived_cl354, zip_derived_cl150])).
% 3.48/3.63 thf(zip_derived_cl375, plain,
% 3.48/3.63 (![X0 : $i, X1 : $i]:
% 3.48/3.63 ( (member @ z @ (unordered_pair @ x @ X0)) | ~ (member @ w @ X1))),
% 3.48/3.63 inference('sup-', [status(thm)], [zip_derived_cl66, zip_derived_cl361])).
% 3.48/3.63 thf(zip_derived_cl692, plain,
% 3.48/3.63 (![X0 : $i]: (member @ z @ (unordered_pair @ x @ X0))),
% 3.48/3.63 inference('sup-', [status(thm)], [zip_derived_cl632, zip_derived_cl375])).
% 3.48/3.63 thf(zip_derived_cl5, plain,
% 3.48/3.63 (![X0 : $i, X1 : $i, X2 : $i]:
% 3.48/3.63 (~ (member @ X0 @ (unordered_pair @ X1 @ X2))
% 3.48/3.63 | ((X0) = (X1))
% 3.48/3.63 | ((X0) = (X2)))),
% 3.48/3.63 inference('cnf', [status(esa)], [unordered_pair_member])).
% 3.48/3.63 thf(zip_derived_cl777, plain, (![X0 : $i]: (((z) = (X0)) | ((z) = (x)))),
% 3.48/3.63 inference('sup-', [status(thm)], [zip_derived_cl692, zip_derived_cl5])).
% 3.48/3.63 thf(zip_derived_cl38, plain, (((x) != (z))),
% 3.48/3.63 inference('cnf', [status(esa)], [zf_stmt_2])).
% 3.48/3.63 thf(zip_derived_cl778, plain, (![X0 : $i]: ((z) = (X0))),
% 3.48/3.63 inference('simplify_reflect-', [status(thm)],
% 3.48/3.63 [zip_derived_cl777, zip_derived_cl38])).
% 3.48/3.63 thf(zip_derived_cl38, plain, (((x) != (z))),
% 3.48/3.63 inference('cnf', [status(esa)], [zf_stmt_2])).
% 3.48/3.63 thf(zip_derived_cl882, plain, (((x) != (z))),
% 3.48/3.63 inference('sup-', [status(thm)], [zip_derived_cl778, zip_derived_cl38])).
% 3.48/3.63 thf(zip_derived_cl778, plain, (![X0 : $i]: ((z) = (X0))),
% 3.48/3.63 inference('simplify_reflect-', [status(thm)],
% 3.48/3.63 [zip_derived_cl777, zip_derived_cl38])).
% 3.48/3.63 thf(zip_derived_cl935, plain, ($false),
% 3.48/3.63 inference('simplify_reflect+', [status(thm)],
% 3.48/3.63 [zip_derived_cl882, zip_derived_cl778])).
% 3.48/3.63
% 3.48/3.63 % SZS output end Refutation
% 3.48/3.63
% 3.48/3.63
% 3.48/3.63 % Terminating...
% 3.95/3.83 % Runner terminated.
% 4.00/3.86 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------