TSTP Solution File: SET121-7 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SET121-7 : TPTP v8.1.2. Bugfixed v7.3.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.vYU6ZAYcgA true
% Computer : n012.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 16:12:54 EDT 2023
% Result : Unsatisfiable 1.47s 0.93s
% Output : Refutation 1.47s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SET121-7 : TPTP v8.1.2. Bugfixed v7.3.0.
% 0.00/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.vYU6ZAYcgA true
% 0.13/0.34 % Computer : n012.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Sat Aug 26 16:28:10 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % Running portfolio for 300 s
% 0.13/0.34 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.35 % Number of cores: 8
% 0.13/0.35 % Python version: Python 3.6.8
% 0.13/0.35 % 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
% 0.21/0.74 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.76 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 1.31/0.77 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 1.31/0.77 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 1.31/0.77 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 1.31/0.78 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 1.31/0.78 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 1.47/0.93 % Solved by fo/fo4.sh.
% 1.47/0.93 % done 153 iterations in 0.117s
% 1.47/0.93 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.47/0.93 % SZS output start Refutation
% 1.47/0.93 thf(universal_class_type, type, universal_class: $i).
% 1.47/0.93 thf(member_type, type, member: $i > $i > $o).
% 1.47/0.93 thf(second_type, type, second: $i > $i).
% 1.47/0.93 thf(x_type, type, x: $i).
% 1.47/0.93 thf(cross_product_type, type, cross_product: $i > $i > $i).
% 1.47/0.93 thf(ordered_pair_type, type, ordered_pair: $i > $i > $i).
% 1.47/0.93 thf(y_type, type, y: $i).
% 1.47/0.93 thf(first_type, type, first: $i > $i).
% 1.47/0.93 thf(prove_corollary_1_to_OP_determines_components2_1, conjecture,
% 1.47/0.93 (member @ y @ universal_class)).
% 1.47/0.93 thf(zf_stmt_0, negated_conjecture, (~( member @ y @ universal_class )),
% 1.47/0.93 inference('cnf.neg', [status(esa)],
% 1.47/0.93 [prove_corollary_1_to_OP_determines_components2_1])).
% 1.47/0.93 thf(zip_derived_cl23, plain, (~ (member @ y @ universal_class)),
% 1.47/0.93 inference('cnf', [status(esa)], [zf_stmt_0])).
% 1.47/0.93 thf(existence_of_1st_and_2nd_4, axiom,
% 1.47/0.93 (( ( ordered_pair @ ( first @ X ) @ ( second @ X ) ) = ( X ) ) |
% 1.47/0.93 ( ( first @ X ) = ( X ) ))).
% 1.47/0.93 thf(zip_derived_cl13, plain,
% 1.47/0.93 (![X0 : $i]:
% 1.47/0.93 (((ordered_pair @ (first @ X0) @ (second @ X0)) = (X0))
% 1.47/0.93 | ((first @ X0) = (X0)))),
% 1.47/0.93 inference('cnf', [status(esa)], [existence_of_1st_and_2nd_4])).
% 1.47/0.93 thf(corollary_1_to_ordered_pair_determines_components1, axiom,
% 1.47/0.93 (( member @ X @ universal_class ) |
% 1.47/0.93 ( ( first @ ( ordered_pair @ X @ Y ) ) = ( ordered_pair @ X @ Y ) ))).
% 1.47/0.93 thf(zip_derived_cl21, plain,
% 1.47/0.93 (![X0 : $i, X1 : $i]:
% 1.47/0.93 ( (member @ X0 @ universal_class)
% 1.47/0.93 | ((first @ (ordered_pair @ X0 @ X1)) = (ordered_pair @ X0 @ X1)))),
% 1.47/0.93 inference('cnf', [status(esa)],
% 1.47/0.93 [corollary_1_to_ordered_pair_determines_components1])).
% 1.47/0.93 thf(prove_corollary_1_to_OP_determines_components2_2, conjecture,
% 1.47/0.93 (( first @ ( ordered_pair @ x @ y ) ) = ( ordered_pair @ x @ y ))).
% 1.47/0.93 thf(zf_stmt_1, negated_conjecture,
% 1.47/0.93 (( first @ ( ordered_pair @ x @ y ) ) != ( ordered_pair @ x @ y )),
% 1.47/0.93 inference('cnf.neg', [status(esa)],
% 1.47/0.93 [prove_corollary_1_to_OP_determines_components2_2])).
% 1.47/0.93 thf(zip_derived_cl22, plain,
% 1.47/0.93 (((first @ (ordered_pair @ x @ y)) != (ordered_pair @ x @ y))),
% 1.47/0.93 inference('cnf', [status(esa)], [zf_stmt_1])).
% 1.47/0.93 thf(zip_derived_cl91, plain,
% 1.47/0.93 ((((ordered_pair @ x @ y) != (ordered_pair @ x @ y))
% 1.47/0.93 | (member @ x @ universal_class))),
% 1.47/0.93 inference('sup-', [status(thm)], [zip_derived_cl21, zip_derived_cl22])).
% 1.47/0.93 thf(zip_derived_cl96, plain, ( (member @ x @ universal_class)),
% 1.47/0.93 inference('simplify', [status(thm)], [zip_derived_cl91])).
% 1.47/0.93 thf(ordered_pair_determines_components1, axiom,
% 1.47/0.93 (( ( ordered_pair @ W @ X ) != ( ordered_pair @ Y @ Z ) ) |
% 1.47/0.93 ( ~( member @ W @ universal_class ) ) | ( ( W ) = ( Y ) ))).
% 1.47/0.93 thf(zip_derived_cl8, plain,
% 1.47/0.93 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.47/0.93 (((ordered_pair @ X2 @ X3) != (ordered_pair @ X0 @ X1))
% 1.47/0.93 | ~ (member @ X2 @ universal_class)
% 1.47/0.93 | ((X2) = (X0)))),
% 1.47/0.93 inference('cnf', [status(esa)], [ordered_pair_determines_components1])).
% 1.47/0.93 thf(zip_derived_cl98, plain,
% 1.47/0.93 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.47/0.93 (((x) = (X0)) | ((ordered_pair @ x @ X1) != (ordered_pair @ X0 @ X2)))),
% 1.47/0.93 inference('sup-', [status(thm)], [zip_derived_cl96, zip_derived_cl8])).
% 1.47/0.93 thf(zip_derived_cl100, plain,
% 1.47/0.93 (![X0 : $i, X1 : $i]:
% 1.47/0.93 (((ordered_pair @ x @ X1) != (X0))
% 1.47/0.93 | ((first @ X0) = (X0))
% 1.47/0.93 | ((x) = (first @ X0)))),
% 1.47/0.93 inference('sup-', [status(thm)], [zip_derived_cl13, zip_derived_cl98])).
% 1.47/0.93 thf(zip_derived_cl161, plain,
% 1.47/0.93 (![X0 : $i]:
% 1.47/0.93 (((x) = (first @ (ordered_pair @ x @ X0)))
% 1.47/0.93 | ((first @ (ordered_pair @ x @ X0)) = (ordered_pair @ x @ X0)))),
% 1.47/0.93 inference('eq_res', [status(thm)], [zip_derived_cl100])).
% 1.47/0.93 thf(zip_derived_cl22, plain,
% 1.47/0.93 (((first @ (ordered_pair @ x @ y)) != (ordered_pair @ x @ y))),
% 1.47/0.93 inference('cnf', [status(esa)], [zf_stmt_1])).
% 1.47/0.93 thf(zip_derived_cl431, plain,
% 1.47/0.93 ((((ordered_pair @ x @ y) != (ordered_pair @ x @ y))
% 1.47/0.93 | ((x) = (first @ (ordered_pair @ x @ y))))),
% 1.47/0.93 inference('sup-', [status(thm)], [zip_derived_cl161, zip_derived_cl22])).
% 1.47/0.93 thf(zip_derived_cl437, plain, (((x) = (first @ (ordered_pair @ x @ y)))),
% 1.47/0.93 inference('simplify', [status(thm)], [zip_derived_cl431])).
% 1.47/0.93 thf(existence_of_1st_and_2nd_2, axiom,
% 1.47/0.93 (( member @
% 1.47/0.93 ( ordered_pair @ ( first @ X ) @ ( second @ X ) ) @
% 1.47/0.93 ( cross_product @ universal_class @ universal_class ) ) |
% 1.47/0.93 ( ( first @ X ) = ( X ) ))).
% 1.47/0.93 thf(zip_derived_cl11, plain,
% 1.47/0.93 (![X0 : $i]:
% 1.47/0.93 ( (member @ (ordered_pair @ (first @ X0) @ (second @ X0)) @
% 1.47/0.93 (cross_product @ universal_class @ universal_class))
% 1.47/0.93 | ((first @ X0) = (X0)))),
% 1.47/0.93 inference('cnf', [status(esa)], [existence_of_1st_and_2nd_2])).
% 1.47/0.93 thf(zip_derived_cl470, plain,
% 1.47/0.93 (( (member @ (ordered_pair @ x @ (second @ (ordered_pair @ x @ y))) @
% 1.47/0.93 (cross_product @ universal_class @ universal_class))
% 1.47/0.93 | ((first @ (ordered_pair @ x @ y)) = (ordered_pair @ x @ y)))),
% 1.47/0.93 inference('sup+', [status(thm)], [zip_derived_cl437, zip_derived_cl11])).
% 1.47/0.93 thf(zip_derived_cl437, plain, (((x) = (first @ (ordered_pair @ x @ y)))),
% 1.47/0.93 inference('simplify', [status(thm)], [zip_derived_cl431])).
% 1.47/0.93 thf(zip_derived_cl483, plain,
% 1.47/0.93 (( (member @ (ordered_pair @ x @ (second @ (ordered_pair @ x @ y))) @
% 1.47/0.93 (cross_product @ universal_class @ universal_class))
% 1.47/0.93 | ((x) = (ordered_pair @ x @ y)))),
% 1.47/0.93 inference('demod', [status(thm)], [zip_derived_cl470, zip_derived_cl437])).
% 1.47/0.93 thf(existence_of_1st_and_2nd_5, axiom,
% 1.47/0.93 (( ( ordered_pair @ ( first @ X ) @ ( second @ X ) ) = ( X ) ) |
% 1.47/0.93 ( ( second @ X ) = ( X ) ))).
% 1.47/0.93 thf(zip_derived_cl14, plain,
% 1.47/0.93 (![X0 : $i]:
% 1.47/0.93 (((ordered_pair @ (first @ X0) @ (second @ X0)) = (X0))
% 1.47/0.93 | ((second @ X0) = (X0)))),
% 1.47/0.93 inference('cnf', [status(esa)], [existence_of_1st_and_2nd_5])).
% 1.47/0.93 thf(zip_derived_cl98, plain,
% 1.47/0.93 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.47/0.93 (((x) = (X0)) | ((ordered_pair @ x @ X1) != (ordered_pair @ X0 @ X2)))),
% 1.47/0.93 inference('sup-', [status(thm)], [zip_derived_cl96, zip_derived_cl8])).
% 1.47/0.93 thf(zip_derived_cl101, plain,
% 1.47/0.93 (![X0 : $i, X1 : $i]:
% 1.47/0.93 (((ordered_pair @ x @ X1) != (X0))
% 1.47/0.93 | ((second @ X0) = (X0))
% 1.47/0.93 | ((x) = (first @ X0)))),
% 1.47/0.93 inference('sup-', [status(thm)], [zip_derived_cl14, zip_derived_cl98])).
% 1.47/0.93 thf(zip_derived_cl162, plain,
% 1.47/0.93 (![X0 : $i]:
% 1.47/0.93 (((x) = (first @ (ordered_pair @ x @ X0)))
% 1.47/0.93 | ((second @ (ordered_pair @ x @ X0)) = (ordered_pair @ x @ X0)))),
% 1.47/0.93 inference('eq_res', [status(thm)], [zip_derived_cl101])).
% 1.47/0.93 thf(zip_derived_cl22, plain,
% 1.47/0.93 (((first @ (ordered_pair @ x @ y)) != (ordered_pair @ x @ y))),
% 1.47/0.93 inference('cnf', [status(esa)], [zf_stmt_1])).
% 1.47/0.93 thf(zip_derived_cl171, plain,
% 1.47/0.93 ((((x) != (ordered_pair @ x @ y))
% 1.47/0.93 | ((second @ (ordered_pair @ x @ y)) = (ordered_pair @ x @ y)))),
% 1.47/0.93 inference('sup-', [status(thm)], [zip_derived_cl162, zip_derived_cl22])).
% 1.47/0.93 thf(zip_derived_cl13, plain,
% 1.47/0.93 (![X0 : $i]:
% 1.47/0.93 (((ordered_pair @ (first @ X0) @ (second @ X0)) = (X0))
% 1.47/0.93 | ((first @ X0) = (X0)))),
% 1.47/0.93 inference('cnf', [status(esa)], [existence_of_1st_and_2nd_4])).
% 1.47/0.93 thf(zip_derived_cl176, plain,
% 1.47/0.93 ((((ordered_pair @ (first @ (ordered_pair @ x @ y)) @
% 1.47/0.93 (ordered_pair @ x @ y)) = (ordered_pair @ x @ y))
% 1.47/0.93 | ((x) != (ordered_pair @ x @ y))
% 1.47/0.93 | ((first @ (ordered_pair @ x @ y)) = (ordered_pair @ x @ y)))),
% 1.47/0.93 inference('sup+', [status(thm)], [zip_derived_cl171, zip_derived_cl13])).
% 1.47/0.93 thf(zip_derived_cl22, plain,
% 1.47/0.93 (((first @ (ordered_pair @ x @ y)) != (ordered_pair @ x @ y))),
% 1.47/0.93 inference('cnf', [status(esa)], [zf_stmt_1])).
% 1.47/0.93 thf(zip_derived_cl180, plain,
% 1.47/0.93 ((((ordered_pair @ (first @ (ordered_pair @ x @ y)) @
% 1.47/0.93 (ordered_pair @ x @ y)) = (ordered_pair @ x @ y))
% 1.47/0.93 | ((x) != (ordered_pair @ x @ y)))),
% 1.47/0.93 inference('simplify_reflect-', [status(thm)],
% 1.47/0.93 [zip_derived_cl176, zip_derived_cl22])).
% 1.47/0.93 thf(zip_derived_cl171, plain,
% 1.47/0.93 ((((x) != (ordered_pair @ x @ y))
% 1.47/0.93 | ((second @ (ordered_pair @ x @ y)) = (ordered_pair @ x @ y)))),
% 1.47/0.93 inference('sup-', [status(thm)], [zip_derived_cl162, zip_derived_cl22])).
% 1.47/0.93 thf(zip_derived_cl11, plain,
% 1.47/0.93 (![X0 : $i]:
% 1.47/0.93 ( (member @ (ordered_pair @ (first @ X0) @ (second @ X0)) @
% 1.47/0.93 (cross_product @ universal_class @ universal_class))
% 1.47/0.93 | ((first @ X0) = (X0)))),
% 1.47/0.93 inference('cnf', [status(esa)], [existence_of_1st_and_2nd_2])).
% 1.47/0.93 thf(zip_derived_cl204, plain,
% 1.47/0.93 (( (member @
% 1.47/0.93 (ordered_pair @ (first @ (ordered_pair @ x @ y)) @
% 1.47/0.93 (ordered_pair @ x @ y)) @
% 1.47/0.93 (cross_product @ universal_class @ universal_class))
% 1.47/0.93 | ((x) != (ordered_pair @ x @ y))
% 1.47/0.93 | ((first @ (ordered_pair @ x @ y)) = (ordered_pair @ x @ y)))),
% 1.47/0.93 inference('sup+', [status(thm)], [zip_derived_cl171, zip_derived_cl11])).
% 1.47/0.93 thf(zip_derived_cl22, plain,
% 1.47/0.93 (((first @ (ordered_pair @ x @ y)) != (ordered_pair @ x @ y))),
% 1.47/0.93 inference('cnf', [status(esa)], [zf_stmt_1])).
% 1.47/0.93 thf(zip_derived_cl211, plain,
% 1.47/0.93 (( (member @
% 1.47/0.93 (ordered_pair @ (first @ (ordered_pair @ x @ y)) @
% 1.47/0.93 (ordered_pair @ x @ y)) @
% 1.47/0.93 (cross_product @ universal_class @ universal_class))
% 1.47/0.93 | ((x) != (ordered_pair @ x @ y)))),
% 1.47/0.93 inference('simplify_reflect-', [status(thm)],
% 1.47/0.93 [zip_derived_cl204, zip_derived_cl22])).
% 1.47/0.93 thf(zip_derived_cl310, plain,
% 1.47/0.93 (( (member @ (ordered_pair @ x @ y) @
% 1.47/0.93 (cross_product @ universal_class @ universal_class))
% 1.47/0.93 | ((x) != (ordered_pair @ x @ y))
% 1.47/0.93 | ((x) != (ordered_pair @ x @ y)))),
% 1.47/0.93 inference('sup+', [status(thm)], [zip_derived_cl180, zip_derived_cl211])).
% 1.47/0.93 thf(zip_derived_cl314, plain,
% 1.47/0.93 ((((x) != (ordered_pair @ x @ y))
% 1.47/0.93 | (member @ (ordered_pair @ x @ y) @
% 1.47/0.93 (cross_product @ universal_class @ universal_class)))),
% 1.47/0.93 inference('simplify', [status(thm)], [zip_derived_cl310])).
% 1.47/0.93 thf(cartesian_product2, axiom,
% 1.47/0.93 (( ~( member @ ( ordered_pair @ U @ V ) @ ( cross_product @ X @ Y ) ) ) |
% 1.47/0.93 ( member @ V @ Y ))).
% 1.47/0.93 thf(zip_derived_cl1, plain,
% 1.47/0.93 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.47/0.93 (~ (member @ (ordered_pair @ X0 @ X1) @ (cross_product @ X2 @ X3))
% 1.47/0.93 | (member @ X1 @ X3))),
% 1.47/0.93 inference('cnf', [status(esa)], [cartesian_product2])).
% 1.47/0.93 thf(zip_derived_cl357, plain,
% 1.47/0.93 ((((x) != (ordered_pair @ x @ y)) | (member @ y @ universal_class))),
% 1.47/0.93 inference('sup-', [status(thm)], [zip_derived_cl314, zip_derived_cl1])).
% 1.47/0.93 thf(zip_derived_cl23, plain, (~ (member @ y @ universal_class)),
% 1.47/0.93 inference('cnf', [status(esa)], [zf_stmt_0])).
% 1.47/0.93 thf(zip_derived_cl363, plain, (((x) != (ordered_pair @ x @ y))),
% 1.47/0.93 inference('demod', [status(thm)], [zip_derived_cl357, zip_derived_cl23])).
% 1.47/0.93 thf(zip_derived_cl484, plain,
% 1.47/0.93 ( (member @ (ordered_pair @ x @ (second @ (ordered_pair @ x @ y))) @
% 1.47/0.93 (cross_product @ universal_class @ universal_class))),
% 1.47/0.93 inference('simplify_reflect-', [status(thm)],
% 1.47/0.93 [zip_derived_cl483, zip_derived_cl363])).
% 1.47/0.93 thf(zip_derived_cl437, plain, (((x) = (first @ (ordered_pair @ x @ y)))),
% 1.47/0.93 inference('simplify', [status(thm)], [zip_derived_cl431])).
% 1.47/0.93 thf(zip_derived_cl13, plain,
% 1.47/0.93 (![X0 : $i]:
% 1.47/0.93 (((ordered_pair @ (first @ X0) @ (second @ X0)) = (X0))
% 1.47/0.93 | ((first @ X0) = (X0)))),
% 1.47/0.93 inference('cnf', [status(esa)], [existence_of_1st_and_2nd_4])).
% 1.47/0.93 thf(zip_derived_cl472, plain,
% 1.47/0.93 ((((ordered_pair @ x @ (second @ (ordered_pair @ x @ y)))
% 1.47/0.93 = (ordered_pair @ x @ y))
% 1.47/0.93 | ((first @ (ordered_pair @ x @ y)) = (ordered_pair @ x @ y)))),
% 1.47/0.93 inference('sup+', [status(thm)], [zip_derived_cl437, zip_derived_cl13])).
% 1.47/0.93 thf(zip_derived_cl437, plain, (((x) = (first @ (ordered_pair @ x @ y)))),
% 1.47/0.93 inference('simplify', [status(thm)], [zip_derived_cl431])).
% 1.47/0.93 thf(zip_derived_cl485, plain,
% 1.47/0.93 ((((ordered_pair @ x @ (second @ (ordered_pair @ x @ y)))
% 1.47/0.93 = (ordered_pair @ x @ y))
% 1.47/0.93 | ((x) = (ordered_pair @ x @ y)))),
% 1.47/0.93 inference('demod', [status(thm)], [zip_derived_cl472, zip_derived_cl437])).
% 1.47/0.93 thf(zip_derived_cl363, plain, (((x) != (ordered_pair @ x @ y))),
% 1.47/0.93 inference('demod', [status(thm)], [zip_derived_cl357, zip_derived_cl23])).
% 1.47/0.93 thf(zip_derived_cl486, plain,
% 1.47/0.93 (((ordered_pair @ x @ (second @ (ordered_pair @ x @ y)))
% 1.47/0.93 = (ordered_pair @ x @ y))),
% 1.47/0.93 inference('simplify_reflect-', [status(thm)],
% 1.47/0.93 [zip_derived_cl485, zip_derived_cl363])).
% 1.47/0.93 thf(zip_derived_cl570, plain,
% 1.47/0.93 ( (member @ (ordered_pair @ x @ y) @
% 1.47/0.93 (cross_product @ universal_class @ universal_class))),
% 1.47/0.93 inference('demod', [status(thm)], [zip_derived_cl484, zip_derived_cl486])).
% 1.47/0.93 thf(zip_derived_cl1, plain,
% 1.47/0.93 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.47/0.93 (~ (member @ (ordered_pair @ X0 @ X1) @ (cross_product @ X2 @ X3))
% 1.47/0.93 | (member @ X1 @ X3))),
% 1.47/0.93 inference('cnf', [status(esa)], [cartesian_product2])).
% 1.47/0.93 thf(zip_derived_cl575, plain, ( (member @ y @ universal_class)),
% 1.47/0.93 inference('sup-', [status(thm)], [zip_derived_cl570, zip_derived_cl1])).
% 1.47/0.93 thf(zip_derived_cl612, plain, ($false),
% 1.47/0.93 inference('demod', [status(thm)], [zip_derived_cl23, zip_derived_cl575])).
% 1.47/0.93
% 1.47/0.93 % SZS output end Refutation
% 1.47/0.93
% 1.47/0.93
% 1.47/0.93 % Terminating...
% 1.70/0.98 % Runner terminated.
% 1.70/1.00 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------