TSTP Solution File: SET021-6 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SET021-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.8AWAZdFEYn 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 16:11:52 EDT 2023
% Result : Unsatisfiable 1.29s 0.84s
% Output : Refutation 1.29s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SET021-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.00/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.8AWAZdFEYn true
% 0.13/0.33 % Computer : n012.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % 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 13:26:26 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % Running portfolio for 300 s
% 0.13/0.34 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.34 % Number of cores: 8
% 0.19/0.34 % Python version: Python 3.6.8
% 0.19/0.34 % Running in FO mode
% 0.19/0.65 % Total configuration time : 435
% 0.19/0.65 % Estimated wc time : 1092
% 0.19/0.65 % Estimated cpu time (7 cpus) : 156.0
% 0.19/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.19/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.19/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.19/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.19/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.19/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.19/0.79 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 1.29/0.84 % Solved by fo/fo6_bce.sh.
% 1.29/0.84 % BCE start: 93
% 1.29/0.84 % BCE eliminated: 0
% 1.29/0.84 % PE start: 93
% 1.29/0.84 logic: eq
% 1.29/0.84 % PE eliminated: 16
% 1.29/0.84 % done 103 iterations in 0.077s
% 1.29/0.84 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.29/0.84 % SZS output start Refutation
% 1.29/0.84 thf(universal_class_type, type, universal_class: $i).
% 1.29/0.84 thf(member_type, type, member: $i > $i > $o).
% 1.29/0.84 thf(second_type, type, second: $i > $i).
% 1.29/0.84 thf(u_type, type, u: $i).
% 1.29/0.84 thf(unordered_pair_type, type, unordered_pair: $i > $i > $i).
% 1.29/0.84 thf(v_type, type, v: $i).
% 1.29/0.84 thf(cross_product_type, type, cross_product: $i > $i > $i).
% 1.29/0.84 thf(ordered_pair_type, type, ordered_pair: $i > $i > $i).
% 1.29/0.84 thf(first_type, type, first: $i > $i).
% 1.29/0.84 thf(prove_unique_1st_and_2nd_in_pair_of_sets2_1, conjecture,
% 1.29/0.84 (~( member @
% 1.29/0.84 ( ordered_pair @ u @ v ) @
% 1.29/0.84 ( cross_product @ universal_class @ universal_class ) ))).
% 1.29/0.84 thf(zf_stmt_0, negated_conjecture,
% 1.29/0.84 (member @
% 1.29/0.84 ( ordered_pair @ u @ v ) @
% 1.29/0.84 ( cross_product @ universal_class @ universal_class )),
% 1.29/0.84 inference('cnf.neg', [status(esa)],
% 1.29/0.84 [prove_unique_1st_and_2nd_in_pair_of_sets2_1])).
% 1.29/0.84 thf(zip_derived_cl91, plain,
% 1.29/0.84 ( (member @ (ordered_pair @ u @ v) @
% 1.29/0.84 (cross_product @ universal_class @ universal_class))),
% 1.29/0.84 inference('cnf', [status(esa)], [zf_stmt_0])).
% 1.29/0.84 thf(cartesian_product1, axiom,
% 1.29/0.84 (( ~( member @ ( ordered_pair @ U @ V ) @ ( cross_product @ X @ Y ) ) ) |
% 1.29/0.84 ( member @ U @ X ))).
% 1.29/0.84 thf(zip_derived_cl13, plain,
% 1.29/0.84 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.29/0.84 (~ (member @ (ordered_pair @ X0 @ X1) @ (cross_product @ X2 @ X3))
% 1.29/0.84 | (member @ X0 @ X2))),
% 1.29/0.84 inference('cnf', [status(esa)], [cartesian_product1])).
% 1.29/0.84 thf(zip_derived_cl473, plain, ( (member @ u @ universal_class)),
% 1.29/0.84 inference('s_sup-', [status(thm)], [zip_derived_cl91, zip_derived_cl13])).
% 1.29/0.84 thf(unordered_pair2, axiom,
% 1.29/0.84 (( ~( member @ X @ universal_class ) ) |
% 1.29/0.84 ( member @ X @ ( unordered_pair @ X @ Y ) ))).
% 1.29/0.84 thf(zip_derived_cl8, plain,
% 1.29/0.84 (![X0 : $i, X1 : $i]:
% 1.29/0.84 (~ (member @ X0 @ universal_class)
% 1.29/0.84 | (member @ X0 @ (unordered_pair @ X0 @ X1)))),
% 1.29/0.84 inference('cnf', [status(esa)], [unordered_pair2])).
% 1.29/0.84 thf(cartesian_product3, axiom,
% 1.29/0.84 (( ~( member @ U @ X ) ) | ( ~( member @ V @ Y ) ) |
% 1.29/0.84 ( member @ ( ordered_pair @ U @ V ) @ ( cross_product @ X @ Y ) ))).
% 1.29/0.84 thf(zip_derived_cl15, plain,
% 1.29/0.84 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.29/0.84 (~ (member @ X0 @ X1)
% 1.29/0.84 | ~ (member @ X2 @ X3)
% 1.29/0.84 | (member @ (ordered_pair @ X0 @ X2) @ (cross_product @ X1 @ X3)))),
% 1.29/0.84 inference('cnf', [status(esa)], [cartesian_product3])).
% 1.29/0.84 thf(zip_derived_cl91, plain,
% 1.29/0.84 ( (member @ (ordered_pair @ u @ v) @
% 1.29/0.84 (cross_product @ universal_class @ universal_class))),
% 1.29/0.84 inference('cnf', [status(esa)], [zf_stmt_0])).
% 1.29/0.84 thf(cartesian_product4, axiom,
% 1.29/0.84 (( ~( member @ Z @ ( cross_product @ X @ Y ) ) ) |
% 1.29/0.84 ( ( ordered_pair @ ( first @ Z ) @ ( second @ Z ) ) = ( Z ) ))).
% 1.29/0.84 thf(zip_derived_cl16, plain,
% 1.29/0.84 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.29/0.84 (~ (member @ X0 @ (cross_product @ X1 @ X2))
% 1.29/0.84 | ((ordered_pair @ (first @ X0) @ (second @ X0)) = (X0)))),
% 1.29/0.84 inference('cnf', [status(esa)], [cartesian_product4])).
% 1.29/0.84 thf(zip_derived_cl494, plain,
% 1.29/0.84 (((ordered_pair @ (first @ (ordered_pair @ u @ v)) @
% 1.29/0.84 (second @ (ordered_pair @ u @ v))) = (ordered_pair @ u @ v))),
% 1.29/0.84 inference('s_sup-', [status(thm)], [zip_derived_cl91, zip_derived_cl16])).
% 1.29/0.84 thf(cartesian_product2, axiom,
% 1.29/0.84 (( ~( member @ ( ordered_pair @ U @ V ) @ ( cross_product @ X @ Y ) ) ) |
% 1.29/0.84 ( member @ V @ Y ))).
% 1.29/0.84 thf(zip_derived_cl14, plain,
% 1.29/0.84 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.29/0.84 (~ (member @ (ordered_pair @ X0 @ X1) @ (cross_product @ X2 @ X3))
% 1.29/0.84 | (member @ X1 @ X3))),
% 1.29/0.84 inference('cnf', [status(esa)], [cartesian_product2])).
% 1.29/0.84 thf(zip_derived_cl496, plain,
% 1.29/0.84 (![X0 : $i, X1 : $i]:
% 1.29/0.84 (~ (member @ (ordered_pair @ u @ v) @ (cross_product @ X1 @ X0))
% 1.29/0.84 | (member @ (second @ (ordered_pair @ u @ v)) @ X0))),
% 1.29/0.84 inference('s_sup-', [status(thm)], [zip_derived_cl494, zip_derived_cl14])).
% 1.29/0.84 thf(zip_derived_cl528, plain,
% 1.29/0.84 (![X0 : $i, X1 : $i]:
% 1.29/0.84 (~ (member @ v @ X0)
% 1.29/0.84 | ~ (member @ u @ X1)
% 1.29/0.85 | (member @ (second @ (ordered_pair @ u @ v)) @ X0))),
% 1.29/0.85 inference('s_sup-', [status(thm)], [zip_derived_cl15, zip_derived_cl496])).
% 1.29/0.85 thf(zip_derived_cl552, plain,
% 1.29/0.85 (![X0 : $i, X1 : $i]:
% 1.29/0.85 (~ (member @ v @ universal_class)
% 1.29/0.85 | ~ (member @ u @ X1)
% 1.29/0.85 | (member @ (second @ (ordered_pair @ u @ v)) @
% 1.29/0.85 (unordered_pair @ v @ X0)))),
% 1.29/0.85 inference('s_sup-', [status(thm)], [zip_derived_cl8, zip_derived_cl528])).
% 1.29/0.85 thf(zip_derived_cl91, plain,
% 1.29/0.85 ( (member @ (ordered_pair @ u @ v) @
% 1.29/0.85 (cross_product @ universal_class @ universal_class))),
% 1.29/0.85 inference('cnf', [status(esa)], [zf_stmt_0])).
% 1.29/0.85 thf(zip_derived_cl14, plain,
% 1.29/0.85 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.29/0.85 (~ (member @ (ordered_pair @ X0 @ X1) @ (cross_product @ X2 @ X3))
% 1.29/0.85 | (member @ X1 @ X3))),
% 1.29/0.85 inference('cnf', [status(esa)], [cartesian_product2])).
% 1.29/0.85 thf(zip_derived_cl481, plain, ( (member @ v @ universal_class)),
% 1.29/0.85 inference('s_sup-', [status(thm)], [zip_derived_cl91, zip_derived_cl14])).
% 1.29/0.85 thf(zip_derived_cl560, plain,
% 1.29/0.85 (![X0 : $i, X1 : $i]:
% 1.29/0.85 (~ (member @ u @ X1)
% 1.29/0.85 | (member @ (second @ (ordered_pair @ u @ v)) @
% 1.29/0.85 (unordered_pair @ v @ X0)))),
% 1.29/0.85 inference('demod', [status(thm)], [zip_derived_cl552, zip_derived_cl481])).
% 1.29/0.85 thf(zip_derived_cl580, plain,
% 1.29/0.85 (![X0 : $i]:
% 1.29/0.85 (member @ (second @ (ordered_pair @ u @ v)) @
% 1.29/0.85 (unordered_pair @ v @ X0))),
% 1.29/0.85 inference('s_sup-', [status(thm)], [zip_derived_cl473, zip_derived_cl560])).
% 1.29/0.85 thf(unordered_pair_member, axiom,
% 1.29/0.85 (( ~( member @ U @ ( unordered_pair @ X @ Y ) ) ) | ( ( U ) = ( X ) ) |
% 1.29/0.85 ( ( U ) = ( Y ) ))).
% 1.29/0.85 thf(zip_derived_cl7, plain,
% 1.29/0.85 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.29/0.85 (~ (member @ X0 @ (unordered_pair @ X1 @ X2))
% 1.29/0.85 | ((X0) = (X1))
% 1.29/0.85 | ((X0) = (X2)))),
% 1.29/0.85 inference('cnf', [status(esa)], [unordered_pair_member])).
% 1.29/0.85 thf(zip_derived_cl585, plain,
% 1.29/0.85 (![X0 : $i]:
% 1.29/0.85 (((second @ (ordered_pair @ u @ v)) = (v))
% 1.29/0.85 | ((second @ (ordered_pair @ u @ v)) = (X0)))),
% 1.29/0.85 inference('s_sup-', [status(thm)], [zip_derived_cl580, zip_derived_cl7])).
% 1.29/0.85 thf(prove_unique_1st_and_2nd_in_pair_of_sets2_2, conjecture,
% 1.29/0.85 (( second @ ( ordered_pair @ u @ v ) ) = ( v ))).
% 1.29/0.85 thf(zf_stmt_1, negated_conjecture,
% 1.29/0.85 (( second @ ( ordered_pair @ u @ v ) ) != ( v )),
% 1.29/0.85 inference('cnf.neg', [status(esa)],
% 1.29/0.85 [prove_unique_1st_and_2nd_in_pair_of_sets2_2])).
% 1.29/0.85 thf(zip_derived_cl92, plain, (((second @ (ordered_pair @ u @ v)) != (v))),
% 1.29/0.85 inference('cnf', [status(esa)], [zf_stmt_1])).
% 1.29/0.85 thf(zip_derived_cl587, plain,
% 1.29/0.85 (![X0 : $i]: ((second @ (ordered_pair @ u @ v)) = (X0))),
% 1.29/0.85 inference('simplify_reflect-', [status(thm)],
% 1.29/0.85 [zip_derived_cl585, zip_derived_cl92])).
% 1.29/0.85 thf(zip_derived_cl92, plain, (((second @ (ordered_pair @ u @ v)) != (v))),
% 1.29/0.85 inference('cnf', [status(esa)], [zf_stmt_1])).
% 1.29/0.85 thf(zip_derived_cl642, plain, (((second @ (ordered_pair @ u @ v)) != (v))),
% 1.29/0.85 inference('s_sup-', [status(thm)], [zip_derived_cl587, zip_derived_cl92])).
% 1.29/0.85 thf(zip_derived_cl587, plain,
% 1.29/0.85 (![X0 : $i]: ((second @ (ordered_pair @ u @ v)) = (X0))),
% 1.29/0.85 inference('simplify_reflect-', [status(thm)],
% 1.29/0.85 [zip_derived_cl585, zip_derived_cl92])).
% 1.29/0.85 thf(zip_derived_cl673, plain, ($false),
% 1.29/0.85 inference('simplify_reflect+', [status(thm)],
% 1.29/0.85 [zip_derived_cl642, zip_derived_cl587])).
% 1.29/0.85
% 1.29/0.85 % SZS output end Refutation
% 1.29/0.85
% 1.29/0.85
% 1.29/0.85 % Terminating...
% 1.55/0.96 % Runner terminated.
% 1.55/0.97 % Zipperpin 1.5 exiting
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