TSTP Solution File: SET031-3 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SET031-3 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.dLbSEdAcJz true

% Computer : n015.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 16:12:00 EDT 2023

% Result   : Unsatisfiable 0.85s 0.81s
% Output   : Refutation 0.85s
% Verified : 
% SZS Type : -

% Comments : 
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14  % Problem  : SET031-3 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.15  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.dLbSEdAcJz true
% 0.15/0.36  % Computer : n015.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit : 300
% 0.15/0.36  % WCLimit  : 300
% 0.15/0.36  % DateTime : Sat Aug 26 12:49:08 EDT 2023
% 0.15/0.36  % CPUTime  : 
% 0.15/0.36  % Running portfolio for 300 s
% 0.15/0.36  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/0.36  % Number of cores: 8
% 0.15/0.37  % Python version: Python 3.6.8
% 0.15/0.37  % Running in FO mode
% 0.22/0.65  % Total configuration time : 435
% 0.22/0.65  % Estimated wc time : 1092
% 0.22/0.65  % Estimated cpu time (7 cpus) : 156.0
% 0.22/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.22/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.22/0.78  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.22/0.79  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.85/0.80  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.85/0.80  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.85/0.81  % Solved by fo/fo3_bce.sh.
% 0.85/0.81  % BCE start: 38
% 0.85/0.81  % BCE eliminated: 2
% 0.85/0.81  % PE start: 36
% 0.85/0.81  logic: eq
% 0.85/0.81  % PE eliminated: -18
% 0.85/0.81  % done 58 iterations in 0.044s
% 0.85/0.81  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.85/0.81  % SZS output start Refutation
% 0.85/0.81  thf(relation_type, type, relation: $i > $o).
% 0.85/0.81  thf(f29_type, type, f29: $i > $i > $i > $i).
% 0.85/0.81  thf(ordered_pair_type, type, ordered_pair: $i > $i > $i).
% 0.85/0.81  thf(f18_type, type, f18: $i > $i).
% 0.85/0.81  thf(a_type, type, a: $i).
% 0.85/0.81  thf(ordered_pair_predicate_type, type, ordered_pair_predicate: $i > $o).
% 0.85/0.81  thf(member_type, type, member: $i > $i > $o).
% 0.85/0.81  thf(little_set_type, type, little_set: $i > $o).
% 0.85/0.81  thf(f30_type, type, f30: $i > $i > $i > $i).
% 0.85/0.81  thf(b_type, type, b: $i).
% 0.85/0.81  thf(compose_type, type, compose: $i > $i > $i).
% 0.85/0.81  thf(relation3, axiom,
% 0.85/0.81    (( relation @ Z ) | ( ~( ordered_pair_predicate @ ( f18 @ Z ) ) ))).
% 0.85/0.81  thf(zip_derived_cl6, plain,
% 0.85/0.81      (![X0 : $i]: ( (relation @ X0) | ~ (ordered_pair_predicate @ (f18 @ X0)))),
% 0.85/0.81      inference('cnf', [status(esa)], [relation3])).
% 0.85/0.81  thf(prove_composition_is_a_relation, conjecture,
% 0.85/0.81    (relation @ ( compose @ a @ b ))).
% 0.85/0.81  thf(zf_stmt_0, negated_conjecture, (~( relation @ ( compose @ a @ b ) )),
% 0.85/0.81    inference('cnf.neg', [status(esa)], [prove_composition_is_a_relation])).
% 0.85/0.81  thf(zip_derived_cl37, plain, (~ (relation @ (compose @ a @ b))),
% 0.85/0.81      inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.85/0.81  thf(zip_derived_cl225, plain,
% 0.85/0.81      (~ (ordered_pair_predicate @ (f18 @ (compose @ a @ b)))),
% 0.85/0.81      inference('dp-resolution', [status(thm)],
% 0.85/0.81                [zip_derived_cl6, zip_derived_cl37])).
% 0.85/0.81  thf(compose4, axiom,
% 0.85/0.81    (( ~( member @ Z @ ( compose @ Xf @ Xg ) ) ) | 
% 0.85/0.81     ( ( Z ) = ( ordered_pair @ ( f29 @ Z @ Xf @ Xg ) @ ( f30 @ Z @ Xf @ Xg ) ) ))).
% 0.85/0.81  thf(zip_derived_cl24, plain,
% 0.85/0.81      (![X0 : $i, X1 : $i, X2 : $i]:
% 0.85/0.81         (~ (member @ X0 @ (compose @ X1 @ X2))
% 0.85/0.81          | ((X0)
% 0.85/0.81              = (ordered_pair @ (f29 @ X0 @ X1 @ X2) @ (f30 @ X0 @ X1 @ X2))))),
% 0.85/0.81      inference('cnf', [status(esa)], [compose4])).
% 0.85/0.81  thf(ordered_pair_predicate4, axiom,
% 0.85/0.81    (( ordered_pair_predicate @ X ) | ( ~( little_set @ Y ) ) | 
% 0.85/0.81     ( ~( little_set @ Z ) ) | ( ( X ) != ( ordered_pair @ Y @ Z ) ))).
% 0.85/0.81  thf(zip_derived_cl1, plain,
% 0.85/0.81      (![X0 : $i, X1 : $i, X2 : $i]:
% 0.85/0.81         ( (ordered_pair_predicate @ X0)
% 0.85/0.81          | ~ (little_set @ X1)
% 0.85/0.81          | ~ (little_set @ X2)
% 0.85/0.81          | ((X0) != (ordered_pair @ X1 @ X2)))),
% 0.85/0.81      inference('cnf', [status(esa)], [ordered_pair_predicate4])).
% 0.85/0.81  thf(zip_derived_cl330, plain,
% 0.85/0.81      (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.85/0.81         (((X3) != (X0))
% 0.85/0.81          | ~ (member @ X0 @ (compose @ X2 @ X1))
% 0.85/0.81          | ~ (little_set @ (f30 @ X0 @ X2 @ X1))
% 0.85/0.81          | ~ (little_set @ (f29 @ X0 @ X2 @ X1))
% 0.85/0.81          |  (ordered_pair_predicate @ X3))),
% 0.85/0.81      inference('sup-', [status(thm)], [zip_derived_cl24, zip_derived_cl1])).
% 0.85/0.81  thf(compose2, axiom,
% 0.85/0.81    (( ~( member @ Z @ ( compose @ Xf @ Xg ) ) ) | 
% 0.85/0.81     ( little_set @ ( f30 @ Z @ Xf @ Xg ) ))).
% 0.85/0.81  thf(zip_derived_cl22, plain,
% 0.85/0.81      (![X0 : $i, X1 : $i, X2 : $i]:
% 0.85/0.81         (~ (member @ X0 @ (compose @ X1 @ X2))
% 0.85/0.81          |  (little_set @ (f30 @ X0 @ X1 @ X2)))),
% 0.85/0.81      inference('cnf', [status(esa)], [compose2])).
% 0.85/0.81  thf(zip_derived_cl342, plain,
% 0.85/0.81      (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.85/0.81         ( (ordered_pair_predicate @ X3)
% 0.85/0.81          | ~ (little_set @ (f29 @ X0 @ X2 @ X1))
% 0.85/0.81          | ~ (member @ X0 @ (compose @ X2 @ X1))
% 0.85/0.81          | ((X3) != (X0)))),
% 0.85/0.81      inference('clc', [status(thm)], [zip_derived_cl330, zip_derived_cl22])).
% 0.85/0.81  thf(compose1, axiom,
% 0.85/0.81    (( ~( member @ Z @ ( compose @ Xf @ Xg ) ) ) | 
% 0.85/0.81     ( little_set @ ( f29 @ Z @ Xf @ Xg ) ))).
% 0.85/0.81  thf(zip_derived_cl21, plain,
% 0.85/0.81      (![X0 : $i, X1 : $i, X2 : $i]:
% 0.85/0.81         (~ (member @ X0 @ (compose @ X1 @ X2))
% 0.85/0.81          |  (little_set @ (f29 @ X0 @ X1 @ X2)))),
% 0.85/0.81      inference('cnf', [status(esa)], [compose1])).
% 0.85/0.81  thf(zip_derived_cl343, plain,
% 0.85/0.81      (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.85/0.81         (((X3) != (X0))
% 0.85/0.81          | ~ (member @ X0 @ (compose @ X2 @ X1))
% 0.85/0.81          |  (ordered_pair_predicate @ X3))),
% 0.85/0.81      inference('clc', [status(thm)], [zip_derived_cl342, zip_derived_cl21])).
% 0.85/0.81  thf(zip_derived_cl344, plain,
% 0.85/0.81      (![X0 : $i, X1 : $i, X2 : $i]:
% 0.85/0.81         ( (ordered_pair_predicate @ X0)
% 0.85/0.81          | ~ (member @ X0 @ (compose @ X2 @ X1)))),
% 0.85/0.81      inference('eq_res', [status(thm)], [zip_derived_cl343])).
% 0.85/0.81  thf(relation2, axiom, (( relation @ Z ) | ( member @ ( f18 @ Z ) @ Z ))).
% 0.85/0.81  thf(zip_derived_cl5, plain,
% 0.85/0.81      (![X0 : $i]: ( (relation @ X0) |  (member @ (f18 @ X0) @ X0))),
% 0.85/0.81      inference('cnf', [status(esa)], [relation2])).
% 0.85/0.81  thf(zip_derived_cl37, plain, (~ (relation @ (compose @ a @ b))),
% 0.85/0.81      inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.85/0.81  thf(zip_derived_cl221, plain,
% 0.85/0.81      ( (member @ (f18 @ (compose @ a @ b)) @ (compose @ a @ b))),
% 0.85/0.81      inference('dp-resolution', [status(thm)],
% 0.85/0.81                [zip_derived_cl5, zip_derived_cl37])).
% 0.85/0.81  thf(zip_derived_cl345, plain,
% 0.85/0.81      ( (ordered_pair_predicate @ (f18 @ (compose @ a @ b)))),
% 0.85/0.81      inference('sup+', [status(thm)], [zip_derived_cl344, zip_derived_cl221])).
% 0.85/0.81  thf(zip_derived_cl347, plain, ($false),
% 0.85/0.81      inference('demod', [status(thm)], [zip_derived_cl225, zip_derived_cl345])).
% 0.85/0.81  
% 0.85/0.81  % SZS output end Refutation
% 0.85/0.81  
% 0.85/0.81  
% 0.85/0.81  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.85/0.81  % Terminating...
% 1.52/0.91  % Runner terminated.
% 1.52/0.92  % Zipperpin 1.5 exiting
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