TSTP Solution File: SET072-7 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SET072-7 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.gdkiPpKH4M 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 16:12:25 EDT 2023
% Result : Unsatisfiable 0.55s 0.76s
% Output : Refutation 0.55s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET072-7 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.07/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.gdkiPpKH4M true
% 0.13/0.34 % Computer : n023.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 13:42:41 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
% 0.13/0.34 % Number of cores: 8
% 0.13/0.35 % Python version: Python 3.6.8
% 0.13/0.35 % Running in FO mode
% 0.54/0.66 % Total configuration time : 435
% 0.54/0.66 % Estimated wc time : 1092
% 0.54/0.66 % Estimated cpu time (7 cpus) : 156.0
% 0.54/0.70 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.54/0.71 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.55/0.73 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.55/0.75 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.55/0.75 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.55/0.75 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.55/0.76 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.55/0.76 % Solved by fo/fo6_bce.sh.
% 0.55/0.76 % BCE start: 117
% 0.55/0.76 % BCE eliminated: 0
% 0.55/0.76 % PE start: 117
% 0.55/0.76 logic: eq
% 0.55/0.76 % PE eliminated: 16
% 0.55/0.76 % done 67 iterations in 0.043s
% 0.55/0.76 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.55/0.76 % SZS output start Refutation
% 0.55/0.76 thf(universal_class_type, type, universal_class: $i).
% 0.55/0.76 thf(member_type, type, member: $i > $i > $o).
% 0.55/0.76 thf(unordered_pair_type, type, unordered_pair: $i > $i > $i).
% 0.55/0.76 thf(z_type, type, z: $i).
% 0.55/0.76 thf(y_type, type, y: $i).
% 0.55/0.76 thf(cross_product_type, type, cross_product: $i > $i > $i).
% 0.55/0.76 thf(ordered_pair_type, type, ordered_pair: $i > $i > $i).
% 0.55/0.76 thf(x_type, type, x: $i).
% 0.55/0.76 thf(prove_right_cancellation_1, conjecture,
% 0.55/0.76 (( unordered_pair @ x @ z ) != ( unordered_pair @ y @ z ))).
% 0.55/0.76 thf(zf_stmt_0, negated_conjecture,
% 0.55/0.76 (( unordered_pair @ x @ z ) = ( unordered_pair @ y @ z )),
% 0.55/0.76 inference('cnf.neg', [status(esa)], [prove_right_cancellation_1])).
% 0.55/0.76 thf(zip_derived_cl114, plain,
% 0.55/0.76 (((unordered_pair @ x @ z) = (unordered_pair @ y @ z))),
% 0.55/0.76 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.55/0.76 thf(unordered_pair2, axiom,
% 0.55/0.76 (( ~( member @ X @ universal_class ) ) |
% 0.55/0.76 ( member @ X @ ( unordered_pair @ X @ Y ) ))).
% 0.55/0.76 thf(zip_derived_cl8, plain,
% 0.55/0.76 (![X0 : $i, X1 : $i]:
% 0.55/0.76 (~ (member @ X0 @ universal_class)
% 0.55/0.76 | (member @ X0 @ (unordered_pair @ X0 @ X1)))),
% 0.55/0.76 inference('cnf', [status(esa)], [unordered_pair2])).
% 0.55/0.76 thf(zip_derived_cl548, plain,
% 0.55/0.76 ((~ (member @ y @ universal_class)
% 0.55/0.76 | (member @ y @ (unordered_pair @ x @ z)))),
% 0.55/0.76 inference('s_sup+', [status(thm)], [zip_derived_cl114, zip_derived_cl8])).
% 0.55/0.76 thf(zip_derived_cl8, plain,
% 0.55/0.76 (![X0 : $i, X1 : $i]:
% 0.55/0.76 (~ (member @ X0 @ universal_class)
% 0.55/0.76 | (member @ X0 @ (unordered_pair @ X0 @ X1)))),
% 0.55/0.76 inference('cnf', [status(esa)], [unordered_pair2])).
% 0.55/0.76 thf(zip_derived_cl114, plain,
% 0.55/0.76 (((unordered_pair @ x @ z) = (unordered_pair @ y @ z))),
% 0.55/0.76 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.55/0.76 thf(commutativity_of_unordered_pair, axiom,
% 0.55/0.76 (( unordered_pair @ X @ Y ) = ( unordered_pair @ Y @ X ))).
% 0.55/0.76 thf(zip_derived_cl107, plain,
% 0.55/0.76 (![X0 : $i, X1 : $i]:
% 0.55/0.76 ((unordered_pair @ X1 @ X0) = (unordered_pair @ X0 @ X1))),
% 0.55/0.76 inference('cnf', [status(esa)], [commutativity_of_unordered_pair])).
% 0.55/0.76 thf(zip_derived_cl516, plain,
% 0.55/0.76 (((unordered_pair @ x @ z) = (unordered_pair @ z @ y))),
% 0.55/0.76 inference('s_sup+', [status(thm)], [zip_derived_cl114, zip_derived_cl107])).
% 0.55/0.76 thf(unordered_pair_member, axiom,
% 0.55/0.76 (( ~( member @ U @ ( unordered_pair @ X @ Y ) ) ) | ( ( U ) = ( X ) ) |
% 0.55/0.76 ( ( U ) = ( Y ) ))).
% 0.55/0.76 thf(zip_derived_cl7, plain,
% 0.55/0.76 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.55/0.76 (~ (member @ X0 @ (unordered_pair @ X1 @ X2))
% 0.55/0.76 | ((X0) = (X1))
% 0.55/0.76 | ((X0) = (X2)))),
% 0.55/0.76 inference('cnf', [status(esa)], [unordered_pair_member])).
% 0.55/0.76 thf(zip_derived_cl536, plain,
% 0.55/0.76 (![X0 : $i]:
% 0.55/0.76 (~ (member @ X0 @ (unordered_pair @ x @ z))
% 0.55/0.76 | ((X0) = (z))
% 0.55/0.76 | ((X0) = (y)))),
% 0.55/0.76 inference('s_sup-', [status(thm)], [zip_derived_cl516, zip_derived_cl7])).
% 0.55/0.76 thf(zip_derived_cl543, plain,
% 0.55/0.76 ((~ (member @ x @ universal_class) | ((x) = (z)) | ((x) = (y)))),
% 0.55/0.76 inference('s_sup-', [status(thm)], [zip_derived_cl8, zip_derived_cl536])).
% 0.55/0.76 thf(prove_right_cancellation_3, conjecture, (( x ) = ( y ))).
% 0.55/0.76 thf(zf_stmt_1, negated_conjecture, (( x ) != ( y )),
% 0.55/0.76 inference('cnf.neg', [status(esa)], [prove_right_cancellation_3])).
% 0.55/0.76 thf(zip_derived_cl116, plain, (((x) != (y))),
% 0.55/0.76 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.55/0.76 thf(zip_derived_cl549, plain,
% 0.55/0.76 ((~ (member @ x @ universal_class) | ((x) = (z)))),
% 0.55/0.76 inference('simplify_reflect-', [status(thm)],
% 0.55/0.76 [zip_derived_cl543, zip_derived_cl116])).
% 0.55/0.76 thf(prove_right_cancellation_2, conjecture,
% 0.55/0.76 (~( member @
% 0.55/0.76 ( ordered_pair @ x @ y ) @
% 0.55/0.76 ( cross_product @ universal_class @ universal_class ) ))).
% 0.55/0.76 thf(zf_stmt_2, negated_conjecture,
% 0.55/0.76 (member @
% 0.55/0.76 ( ordered_pair @ x @ y ) @
% 0.55/0.76 ( cross_product @ universal_class @ universal_class )),
% 0.55/0.76 inference('cnf.neg', [status(esa)], [prove_right_cancellation_2])).
% 0.55/0.76 thf(zip_derived_cl115, plain,
% 0.55/0.76 ( (member @ (ordered_pair @ x @ y) @
% 0.55/0.76 (cross_product @ universal_class @ universal_class))),
% 0.55/0.76 inference('cnf', [status(esa)], [zf_stmt_2])).
% 0.55/0.76 thf(cartesian_product1, axiom,
% 0.55/0.76 (( ~( member @ ( ordered_pair @ U @ V ) @ ( cross_product @ X @ Y ) ) ) |
% 0.55/0.76 ( member @ U @ X ))).
% 0.55/0.76 thf(zip_derived_cl13, plain,
% 0.55/0.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.55/0.76 (~ (member @ (ordered_pair @ X0 @ X1) @ (cross_product @ X2 @ X3))
% 0.55/0.76 | (member @ X0 @ X2))),
% 0.55/0.76 inference('cnf', [status(esa)], [cartesian_product1])).
% 0.55/0.76 thf(zip_derived_cl573, plain, ( (member @ x @ universal_class)),
% 0.55/0.76 inference('s_sup-', [status(thm)], [zip_derived_cl115, zip_derived_cl13])).
% 0.55/0.76 thf(zip_derived_cl574, plain, (((x) = (z))),
% 0.55/0.76 inference('demod', [status(thm)], [zip_derived_cl549, zip_derived_cl573])).
% 0.55/0.76 thf(zip_derived_cl578, plain,
% 0.55/0.76 ((~ (member @ y @ universal_class)
% 0.55/0.76 | (member @ y @ (unordered_pair @ x @ x)))),
% 0.55/0.76 inference('demod', [status(thm)], [zip_derived_cl548, zip_derived_cl574])).
% 0.55/0.76 thf(zip_derived_cl115, plain,
% 0.55/0.76 ( (member @ (ordered_pair @ x @ y) @
% 0.55/0.76 (cross_product @ universal_class @ universal_class))),
% 0.55/0.76 inference('cnf', [status(esa)], [zf_stmt_2])).
% 0.55/0.76 thf(cartesian_product2, axiom,
% 0.55/0.76 (( ~( member @ ( ordered_pair @ U @ V ) @ ( cross_product @ X @ Y ) ) ) |
% 0.55/0.76 ( member @ V @ Y ))).
% 0.55/0.76 thf(zip_derived_cl14, plain,
% 0.55/0.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.55/0.76 (~ (member @ (ordered_pair @ X0 @ X1) @ (cross_product @ X2 @ X3))
% 0.55/0.76 | (member @ X1 @ X3))),
% 0.55/0.76 inference('cnf', [status(esa)], [cartesian_product2])).
% 0.55/0.76 thf(zip_derived_cl584, plain, ( (member @ y @ universal_class)),
% 0.55/0.76 inference('s_sup-', [status(thm)], [zip_derived_cl115, zip_derived_cl14])).
% 0.55/0.76 thf(zip_derived_cl605, plain, ( (member @ y @ (unordered_pair @ x @ x))),
% 0.55/0.76 inference('demod', [status(thm)], [zip_derived_cl578, zip_derived_cl584])).
% 0.55/0.76 thf(zip_derived_cl7, plain,
% 0.55/0.76 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.55/0.76 (~ (member @ X0 @ (unordered_pair @ X1 @ X2))
% 0.55/0.76 | ((X0) = (X1))
% 0.55/0.76 | ((X0) = (X2)))),
% 0.55/0.76 inference('cnf', [status(esa)], [unordered_pair_member])).
% 0.55/0.76 thf(zip_derived_cl606, plain, ((((y) = (x)) | ((y) = (x)))),
% 0.55/0.76 inference('s_sup-', [status(thm)], [zip_derived_cl605, zip_derived_cl7])).
% 0.55/0.76 thf(zip_derived_cl610, plain, (((y) = (x))),
% 0.55/0.76 inference('simplify', [status(thm)], [zip_derived_cl606])).
% 0.55/0.76 thf(zip_derived_cl116, plain, (((x) != (y))),
% 0.55/0.76 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.55/0.76 thf(zip_derived_cl611, plain, ($false),
% 0.55/0.76 inference('simplify_reflect-', [status(thm)],
% 0.55/0.76 [zip_derived_cl610, zip_derived_cl116])).
% 0.55/0.76
% 0.55/0.76 % SZS output end Refutation
% 0.55/0.76
% 0.55/0.76
% 0.55/0.76 % Terminating...
% 0.59/0.86 % Runner terminated.
% 1.69/0.87 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------