TSTP Solution File: GRP001-5 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : GRP001-5 : 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.iKEBljncOq true

% Computer : n031.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 01:49:24 EDT 2023

% Result   : Unsatisfiable 1.34s 0.79s
% Output   : Refutation 1.34s
% Verified : 
% SZS Type : -

% Comments : 
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : GRP001-5 : TPTP v8.1.2. Released v1.0.0.
% 0.11/0.14  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.iKEBljncOq true
% 0.14/0.35  % Computer : n031.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 300
% 0.14/0.35  % DateTime : Mon Aug 28 21:41:25 EDT 2023
% 0.14/0.35  % CPUTime  : 
% 0.14/0.35  % Running portfolio for 300 s
% 0.14/0.35  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.35  % Number of cores: 8
% 0.14/0.35  % Python version: Python 3.6.8
% 0.14/0.36  % Running in FO mode
% 0.21/0.65  % Total configuration time : 435
% 0.21/0.65  % Estimated wc time : 1092
% 0.21/0.65  % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.71  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.21/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.21/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.21/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.21/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 1.34/0.79  % Solved by fo/fo5.sh.
% 1.34/0.79  % done 55 iterations in 0.019s
% 1.34/0.79  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.34/0.79  % SZS output start Refutation
% 1.34/0.79  thf(product_type, type, product: $i > $i > $i > $o).
% 1.34/0.79  thf(identity_type, type, identity: $i).
% 1.34/0.79  thf(b_type, type, b: $i).
% 1.34/0.79  thf(a_type, type, a: $i).
% 1.34/0.79  thf(c_type, type, c: $i).
% 1.34/0.79  thf(prove_b_times_a_is_c, conjecture, (product @ b @ a @ c)).
% 1.34/0.79  thf(zf_stmt_0, negated_conjecture, (~( product @ b @ a @ c )),
% 1.34/0.79    inference('cnf.neg', [status(esa)], [prove_b_times_a_is_c])).
% 1.34/0.79  thf(zip_derived_cl6, plain, (~ (product @ b @ a @ c)),
% 1.34/0.79      inference('cnf', [status(esa)], [zf_stmt_0])).
% 1.34/0.79  thf(square_element, axiom, (product @ X @ X @ identity)).
% 1.34/0.79  thf(zip_derived_cl4, plain, (![X0 : $i]:  (product @ X0 @ X0 @ identity)),
% 1.34/0.79      inference('cnf', [status(esa)], [square_element])).
% 1.34/0.79  thf(right_identity, axiom, (product @ X @ identity @ X)).
% 1.34/0.79  thf(zip_derived_cl1, plain, (![X0 : $i]:  (product @ X0 @ identity @ X0)),
% 1.34/0.79      inference('cnf', [status(esa)], [right_identity])).
% 1.34/0.79  thf(a_times_b_is_c, axiom, (product @ a @ b @ c)).
% 1.34/0.79  thf(zip_derived_cl5, plain, ( (product @ a @ b @ c)),
% 1.34/0.79      inference('cnf', [status(esa)], [a_times_b_is_c])).
% 1.34/0.79  thf(associativity2, axiom,
% 1.34/0.79    (( ~( product @ X @ Y @ U ) ) | ( ~( product @ Y @ Z @ V ) ) | 
% 1.34/0.79     ( ~( product @ X @ V @ W ) ) | ( product @ U @ Z @ W ))).
% 1.34/0.79  thf(zip_derived_cl3, plain,
% 1.34/0.79      (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 1.34/0.79         (~ (product @ X0 @ X1 @ X2)
% 1.34/0.79          | ~ (product @ X1 @ X3 @ X4)
% 1.34/0.79          | ~ (product @ X0 @ X4 @ X5)
% 1.34/0.79          |  (product @ X2 @ X3 @ X5))),
% 1.34/0.79      inference('cnf', [status(esa)], [associativity2])).
% 1.34/0.79  thf(zip_derived_cl20, plain,
% 1.34/0.79      (![X0 : $i, X1 : $i, X2 : $i]:
% 1.34/0.79         ( (product @ c @ X1 @ X0)
% 1.34/0.79          | ~ (product @ a @ X2 @ X0)
% 1.34/0.79          | ~ (product @ b @ X1 @ X2))),
% 1.34/0.79      inference('sup-', [status(thm)], [zip_derived_cl5, zip_derived_cl3])).
% 1.34/0.79  thf(zip_derived_cl25, plain,
% 1.34/0.79      (![X0 : $i]: (~ (product @ b @ X0 @ identity) |  (product @ c @ X0 @ a))),
% 1.34/0.79      inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl20])).
% 1.34/0.79  thf(zip_derived_cl28, plain, ( (product @ c @ b @ a)),
% 1.34/0.79      inference('sup-', [status(thm)], [zip_derived_cl4, zip_derived_cl25])).
% 1.34/0.79  thf(left_identity, axiom, (product @ identity @ X @ X)).
% 1.34/0.79  thf(zip_derived_cl0, plain, (![X0 : $i]:  (product @ identity @ X0 @ X0)),
% 1.34/0.79      inference('cnf', [status(esa)], [left_identity])).
% 1.34/0.79  thf(zip_derived_cl4, plain, (![X0 : $i]:  (product @ X0 @ X0 @ identity)),
% 1.34/0.79      inference('cnf', [status(esa)], [square_element])).
% 1.34/0.79  thf(associativity1, axiom,
% 1.34/0.79    (( ~( product @ X @ Y @ U ) ) | ( ~( product @ Y @ Z @ V ) ) | 
% 1.34/0.79     ( ~( product @ U @ Z @ W ) ) | ( product @ X @ V @ W ))).
% 1.34/0.79  thf(zip_derived_cl2, plain,
% 1.34/0.79      (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 1.34/0.79         (~ (product @ X0 @ X1 @ X2)
% 1.34/0.79          | ~ (product @ X1 @ X3 @ X4)
% 1.34/0.79          | ~ (product @ X2 @ X3 @ X5)
% 1.34/0.79          |  (product @ X0 @ X4 @ X5))),
% 1.34/0.79      inference('cnf', [status(esa)], [associativity1])).
% 1.34/0.79  thf(zip_derived_cl7, plain,
% 1.34/0.79      (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.34/0.79         ( (product @ X0 @ X2 @ X1)
% 1.34/0.79          | ~ (product @ identity @ X3 @ X1)
% 1.34/0.79          | ~ (product @ X0 @ X3 @ X2))),
% 1.34/0.79      inference('sup-', [status(thm)], [zip_derived_cl4, zip_derived_cl2])).
% 1.34/0.79  thf(zip_derived_cl44, plain,
% 1.34/0.79      (![X0 : $i, X1 : $i, X2 : $i]:
% 1.34/0.79         (~ (product @ X2 @ X0 @ X1) |  (product @ X2 @ X1 @ X0))),
% 1.34/0.79      inference('sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl7])).
% 1.34/0.79  thf(zip_derived_cl52, plain, ( (product @ c @ a @ b)),
% 1.34/0.79      inference('sup-', [status(thm)], [zip_derived_cl28, zip_derived_cl44])).
% 1.34/0.79  thf(zip_derived_cl5, plain, ( (product @ a @ b @ c)),
% 1.34/0.79      inference('cnf', [status(esa)], [a_times_b_is_c])).
% 1.34/0.79  thf(zip_derived_cl5, plain, ( (product @ a @ b @ c)),
% 1.34/0.79      inference('cnf', [status(esa)], [a_times_b_is_c])).
% 1.34/0.79  thf(zip_derived_cl44, plain,
% 1.34/0.79      (![X0 : $i, X1 : $i, X2 : $i]:
% 1.34/0.79         (~ (product @ X2 @ X0 @ X1) |  (product @ X2 @ X1 @ X0))),
% 1.34/0.79      inference('sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl7])).
% 1.34/0.79  thf(zip_derived_cl51, plain, ( (product @ a @ c @ b)),
% 1.34/0.79      inference('sup-', [status(thm)], [zip_derived_cl5, zip_derived_cl44])).
% 1.34/0.79  thf(zip_derived_cl3, plain,
% 1.34/0.79      (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 1.34/0.79         (~ (product @ X0 @ X1 @ X2)
% 1.34/0.79          | ~ (product @ X1 @ X3 @ X4)
% 1.34/0.79          | ~ (product @ X0 @ X4 @ X5)
% 1.34/0.79          |  (product @ X2 @ X3 @ X5))),
% 1.34/0.79      inference('cnf', [status(esa)], [associativity2])).
% 1.34/0.79  thf(zip_derived_cl55, plain,
% 1.34/0.79      (![X0 : $i, X1 : $i, X2 : $i]:
% 1.34/0.79         ( (product @ b @ X1 @ X0)
% 1.34/0.79          | ~ (product @ a @ X2 @ X0)
% 1.34/0.79          | ~ (product @ c @ X1 @ X2))),
% 1.34/0.79      inference('sup-', [status(thm)], [zip_derived_cl51, zip_derived_cl3])).
% 1.34/0.79  thf(zip_derived_cl76, plain,
% 1.34/0.79      (![X0 : $i]: (~ (product @ c @ X0 @ b) |  (product @ b @ X0 @ c))),
% 1.34/0.79      inference('sup-', [status(thm)], [zip_derived_cl5, zip_derived_cl55])).
% 1.34/0.79  thf(zip_derived_cl78, plain, ( (product @ b @ a @ c)),
% 1.34/0.79      inference('sup-', [status(thm)], [zip_derived_cl52, zip_derived_cl76])).
% 1.34/0.79  thf(zip_derived_cl79, plain, ($false),
% 1.34/0.79      inference('demod', [status(thm)], [zip_derived_cl6, zip_derived_cl78])).
% 1.34/0.79  
% 1.34/0.79  % SZS output end Refutation
% 1.34/0.79  
% 1.34/0.79  
% 1.34/0.79  % Terminating...
% 1.50/0.84  % Runner terminated.
% 1.50/0.85  % Zipperpin 1.5 exiting
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