TSTP Solution File: NUM141-1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : NUM141-1 : 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.WSDgmOfBUP true

% Computer : n032.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 12:39:20 EDT 2023

% Result   : Unsatisfiable 1.94s 0.83s
% Output   : Refutation 1.94s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09  % Problem  : NUM141-1 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.00/0.10  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.WSDgmOfBUP true
% 0.12/0.29  % Computer : n032.cluster.edu
% 0.12/0.29  % Model    : x86_64 x86_64
% 0.12/0.29  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.29  % Memory   : 8042.1875MB
% 0.12/0.29  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.29  % CPULimit : 300
% 0.12/0.29  % WCLimit  : 300
% 0.12/0.29  % DateTime : Fri Aug 25 09:29:12 EDT 2023
% 0.14/0.30  % CPUTime  : 
% 0.14/0.30  % Running portfolio for 300 s
% 0.14/0.30  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.30  % Number of cores: 8
% 0.14/0.30  % Python version: Python 3.6.8
% 0.14/0.30  % Running in FO mode
% 0.15/0.50  % Total configuration time : 435
% 0.15/0.50  % Estimated wc time : 1092
% 0.15/0.50  % Estimated cpu time (7 cpus) : 156.0
% 0.15/0.56  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.15/0.56  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.15/0.56  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.15/0.56  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.15/0.58  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.15/0.58  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.15/0.58  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.15/0.61  % /export/starexec/sandbox2/solver/bin/fo/fo1_lcnf.sh running for 50s
% 1.94/0.83  % Solved by fo/fo1_lcnf.sh.
% 1.94/0.83  % done 345 iterations in 0.193s
% 1.94/0.83  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.94/0.83  % SZS output start Refutation
% 1.94/0.83  thf(universal_class_type, type, universal_class: $i).
% 1.94/0.83  thf(union_type, type, union: $i > $i > $i).
% 1.94/0.83  thf(member_type, type, member: $i > $i > $o).
% 1.94/0.83  thf(unordered_pair_type, type, unordered_pair: $i > $i > $i).
% 1.94/0.83  thf(complement_type, type, complement: $i > $i).
% 1.94/0.83  thf(singleton_type, type, singleton: $i > $i).
% 1.94/0.83  thf(x_type, type, x: $i).
% 1.94/0.83  thf(intersection_type, type, intersection: $i > $i > $i).
% 1.94/0.83  thf(successor_type, type, successor: $i > $i).
% 1.94/0.83  thf(prove_successor_of_set_is_set2_2, conjecture,
% 1.94/0.83    (member @ x @ ( successor @ x ))).
% 1.94/0.83  thf(zf_stmt_0, negated_conjecture, (~( member @ x @ ( successor @ x ) )),
% 1.94/0.83    inference('cnf.neg', [status(esa)], [prove_successor_of_set_is_set2_2])).
% 1.94/0.83  thf(zip_derived_cl159, plain, (~ (member @ x @ (successor @ x))),
% 1.94/0.83      inference('cnf', [status(esa)], [zf_stmt_0])).
% 1.94/0.83  thf(successor, axiom,
% 1.94/0.83    (( union @ X @ ( singleton @ X ) ) = ( successor @ X ))).
% 1.94/0.83  thf(zip_derived_cl42, plain,
% 1.94/0.83      (![X0 : $i]: ((union @ X0 @ (singleton @ X0)) = (successor @ X0))),
% 1.94/0.83      inference('cnf', [status(esa)], [successor])).
% 1.94/0.83  thf(union, axiom,
% 1.94/0.83    (( complement @ ( intersection @ ( complement @ X ) @ ( complement @ Y ) ) ) =
% 1.94/0.83     ( union @ X @ Y ))).
% 1.94/0.83  thf(zip_derived_cl25, plain,
% 1.94/0.83      (![X0 : $i, X1 : $i]:
% 1.94/0.83         ((complement @ (intersection @ (complement @ X0) @ (complement @ X1)))
% 1.94/0.83           = (union @ X0 @ X1))),
% 1.94/0.83      inference('cnf', [status(esa)], [union])).
% 1.94/0.83  thf(prove_successor_of_set_is_set2_1, conjecture,
% 1.94/0.83    (~( member @ x @ universal_class ))).
% 1.94/0.83  thf(zf_stmt_1, negated_conjecture, (member @ x @ universal_class),
% 1.94/0.83    inference('cnf.neg', [status(esa)], [prove_successor_of_set_is_set2_1])).
% 1.94/0.83  thf(zip_derived_cl158, plain, ( (member @ x @ universal_class)),
% 1.94/0.83      inference('cnf', [status(esa)], [zf_stmt_1])).
% 1.94/0.83  thf(complement2, axiom,
% 1.94/0.83    (( ~( member @ Z @ universal_class ) ) | 
% 1.94/0.83     ( member @ Z @ ( complement @ X ) ) | ( member @ Z @ X ))).
% 1.94/0.83  thf(zip_derived_cl24, plain,
% 1.94/0.83      (![X0 : $i, X1 : $i]:
% 1.94/0.83          (((((~) @ (member @ X0 @ universal_class))) | 
% 1.94/0.83            (member @ X0 @ (complement @ X1)) | (member @ X0 @ X1)))),
% 1.94/0.83      inference('cnf', [status(esa)], [complement2])).
% 1.94/0.83  thf(zip_derived_cl624, plain,
% 1.94/0.83      (![X0 : $i, X1 : $i]:
% 1.94/0.83         (~ (member @ X0 @ universal_class)
% 1.94/0.83          |  (member @ X0 @ (complement @ X1))
% 1.94/0.83          |  (member @ X0 @ X1))),
% 1.94/0.83      inference('lazy_cnf_or', [status(thm)], [zip_derived_cl24])).
% 1.94/0.83  thf(zip_derived_cl638, plain,
% 1.94/0.83      (![X0 : $i]: ( (member @ x @ (complement @ X0)) |  (member @ x @ X0))),
% 1.94/0.83      inference('s_sup-', [status(thm)], [zip_derived_cl158, zip_derived_cl624])).
% 1.94/0.83  thf(zip_derived_cl641, plain,
% 1.94/0.83      (![X0 : $i, X1 : $i]:
% 1.94/0.83         ( (member @ x @ (union @ X1 @ X0))
% 1.94/0.83          |  (member @ x @ 
% 1.94/0.83              (intersection @ (complement @ X1) @ (complement @ X0))))),
% 1.94/0.83      inference('s_sup+', [status(thm)], [zip_derived_cl25, zip_derived_cl638])).
% 1.94/0.83  thf(intersection2, axiom,
% 1.94/0.83    (( ~( member @ Z @ ( intersection @ X @ Y ) ) ) | ( member @ Z @ Y ))).
% 1.94/0.83  thf(zip_derived_cl21, plain,
% 1.94/0.83      (![X0 : $i, X1 : $i, X2 : $i]:
% 1.94/0.83          (((((~) @ (member @ X0 @ (intersection @ X1 @ X2)))) | (member @ 
% 1.94/0.83            X0 @ X2)))),
% 1.94/0.83      inference('cnf', [status(esa)], [intersection2])).
% 1.94/0.83  thf(zip_derived_cl418, plain,
% 1.94/0.83      (![X0 : $i, X1 : $i, X2 : $i]:
% 1.94/0.83         (~ (member @ X0 @ (intersection @ X1 @ X2)) |  (member @ X0 @ X2))),
% 1.94/0.83      inference('lazy_cnf_or', [status(thm)], [zip_derived_cl21])).
% 1.94/0.83  thf(zip_derived_cl655, plain,
% 1.94/0.83      (![X0 : $i, X1 : $i]:
% 1.94/0.83         ( (member @ x @ (union @ X1 @ X0)) |  (member @ x @ (complement @ X0)))),
% 1.94/0.83      inference('s_sup-', [status(thm)], [zip_derived_cl641, zip_derived_cl418])).
% 1.94/0.83  thf(zip_derived_cl714, plain,
% 1.94/0.83      (![X0 : $i]:
% 1.94/0.83         ( (member @ x @ (successor @ X0))
% 1.94/0.83          |  (member @ x @ (complement @ (singleton @ X0))))),
% 1.94/0.83      inference('s_sup+', [status(thm)], [zip_derived_cl42, zip_derived_cl655])).
% 1.94/0.83  thf(complement1, axiom,
% 1.94/0.83    (( ~( member @ Z @ ( complement @ X ) ) ) | ( ~( member @ Z @ X ) ))).
% 1.94/0.83  thf(zip_derived_cl23, plain,
% 1.94/0.83      (![X0 : $i, X1 : $i]:
% 1.94/0.83          (((((~) @ (member @ X0 @ (complement @ X1)))) |
% 1.94/0.83            (((~) @ (member @ X0 @ X1)))))),
% 1.94/0.83      inference('cnf', [status(esa)], [complement1])).
% 1.94/0.83  thf(zip_derived_cl340, plain,
% 1.94/0.83      (![X0 : $i, X1 : $i]:
% 1.94/0.83         (~ (member @ X0 @ (complement @ X1)) | ~ (member @ X0 @ X1))),
% 1.94/0.83      inference('lazy_cnf_or', [status(thm)], [zip_derived_cl23])).
% 1.94/0.83  thf(zip_derived_cl738, plain,
% 1.94/0.83      (![X0 : $i]:
% 1.94/0.83         ( (member @ x @ (successor @ X0)) | ~ (member @ x @ (singleton @ X0)))),
% 1.94/0.83      inference('s_sup-', [status(thm)], [zip_derived_cl714, zip_derived_cl340])).
% 1.94/0.83  thf(singleton_set, axiom, (( unordered_pair @ X @ X ) = ( singleton @ X ))).
% 1.94/0.83  thf(zip_derived_cl11, plain,
% 1.94/0.83      (![X0 : $i]: ((unordered_pair @ X0 @ X0) = (singleton @ X0))),
% 1.94/0.83      inference('cnf', [status(esa)], [singleton_set])).
% 1.94/0.83  thf(unordered_pair2, axiom,
% 1.94/0.83    (( ~( member @ X @ universal_class ) ) | 
% 1.94/0.83     ( member @ X @ ( unordered_pair @ X @ Y ) ))).
% 1.94/0.83  thf(zip_derived_cl8, plain,
% 1.94/0.83      (![X0 : $i, X1 : $i]:
% 1.94/0.83          (((((~) @ (member @ X0 @ universal_class))) | (member @ X0 @ 
% 1.94/0.83            (unordered_pair @ X0 @ X1))))),
% 1.94/0.83      inference('cnf', [status(esa)], [unordered_pair2])).
% 1.94/0.83  thf(zip_derived_cl266, plain,
% 1.94/0.83      (![X0 : $i, X1 : $i]:
% 1.94/0.83         (~ (member @ X0 @ universal_class)
% 1.94/0.83          |  (member @ X0 @ (unordered_pair @ X0 @ X1)))),
% 1.94/0.83      inference('lazy_cnf_or', [status(thm)], [zip_derived_cl8])).
% 1.94/0.83  thf(zip_derived_cl269, plain,
% 1.94/0.83      (![X0 : $i]:
% 1.94/0.83         (~ (member @ X0 @ universal_class) |  (member @ X0 @ (singleton @ X0)))),
% 1.94/0.83      inference('s_sup+', [status(thm)], [zip_derived_cl11, zip_derived_cl266])).
% 1.94/0.83  thf(zip_derived_cl1104, plain,
% 1.94/0.83      (( (member @ x @ (successor @ x)) | ~ (member @ x @ universal_class))),
% 1.94/0.83      inference('s_sup+', [status(thm)], [zip_derived_cl738, zip_derived_cl269])).
% 1.94/0.83  thf(zip_derived_cl158, plain, ( (member @ x @ universal_class)),
% 1.94/0.83      inference('cnf', [status(esa)], [zf_stmt_1])).
% 1.94/0.83  thf(zip_derived_cl1105, plain, ( (member @ x @ (successor @ x))),
% 1.94/0.83      inference('demod', [status(thm)], [zip_derived_cl1104, zip_derived_cl158])).
% 1.94/0.83  thf(zip_derived_cl1107, plain, ($false),
% 1.94/0.83      inference('demod', [status(thm)], [zip_derived_cl159, zip_derived_cl1105])).
% 1.94/0.83  
% 1.94/0.83  % SZS output end Refutation
% 1.94/0.83  
% 1.94/0.83  
% 1.94/0.83  % Terminating...
% 2.66/0.91  % Runner terminated.
% 2.66/0.92  % Zipperpin 1.5 exiting
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