TSTP Solution File: GRP001-1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : GRP001-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.ML3poHSAzT 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 01:49:23 EDT 2023

% Result   : Unsatisfiable 0.56s 0.82s
% Output   : Refutation 0.56s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : GRP001-1 : TPTP v8.1.2. Released v1.0.0.
% 0.13/0.13  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.ML3poHSAzT 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 : Tue Aug 29 01:01:25 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
% 0.20/0.35  % Running in FO mode
% 0.54/0.64  % Total configuration time : 435
% 0.54/0.64  % Estimated wc time : 1092
% 0.54/0.64  % Estimated cpu time (7 cpus) : 156.0
% 0.55/0.71  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.55/0.74  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.55/0.76  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.55/0.76  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.56/0.76  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.56/0.76  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.56/0.77  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.56/0.82  % Solved by fo/fo5.sh.
% 0.56/0.82  % done 130 iterations in 0.040s
% 0.56/0.82  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.56/0.82  % SZS output start Refutation
% 0.56/0.82  thf(product_type, type, product: $i > $i > $i > $o).
% 0.56/0.82  thf(a_type, type, a: $i).
% 0.56/0.82  thf(identity_type, type, identity: $i).
% 0.56/0.82  thf(c_type, type, c: $i).
% 0.56/0.82  thf(b_type, type, b: $i).
% 0.56/0.82  thf(multiply_type, type, multiply: $i > $i > $i).
% 0.56/0.82  thf(prove_b_times_a_is_c, conjecture, (product @ b @ a @ c)).
% 0.56/0.82  thf(zf_stmt_0, negated_conjecture, (~( product @ b @ a @ c )),
% 0.56/0.82    inference('cnf.neg', [status(esa)], [prove_b_times_a_is_c])).
% 0.56/0.82  thf(zip_derived_cl10, plain, (~ (product @ b @ a @ c)),
% 0.56/0.82      inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.56/0.82  thf(total_function1, axiom, (product @ X @ Y @ ( multiply @ X @ Y ))).
% 0.56/0.82  thf(zip_derived_cl4, plain,
% 0.56/0.82      (![X0 : $i, X1 : $i]:  (product @ X0 @ X1 @ (multiply @ X0 @ X1))),
% 0.56/0.82      inference('cnf', [status(esa)], [total_function1])).
% 0.56/0.82  thf(square_element, axiom, (product @ X @ X @ identity)).
% 0.56/0.82  thf(zip_derived_cl8, plain, (![X0 : $i]:  (product @ X0 @ X0 @ identity)),
% 0.56/0.82      inference('cnf', [status(esa)], [square_element])).
% 0.56/0.82  thf(zip_derived_cl4, plain,
% 0.56/0.82      (![X0 : $i, X1 : $i]:  (product @ X0 @ X1 @ (multiply @ X0 @ X1))),
% 0.56/0.82      inference('cnf', [status(esa)], [total_function1])).
% 0.56/0.82  thf(a_times_b_is_c, conjecture, (~( product @ a @ b @ c ))).
% 0.56/0.82  thf(zf_stmt_1, negated_conjecture, (product @ a @ b @ c),
% 0.56/0.82    inference('cnf.neg', [status(esa)], [a_times_b_is_c])).
% 0.56/0.82  thf(zip_derived_cl9, plain, ( (product @ a @ b @ c)),
% 0.56/0.82      inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.56/0.82  thf(associativity1, axiom,
% 0.56/0.82    (( ~( product @ X @ Y @ U ) ) | ( ~( product @ Y @ Z @ V ) ) | 
% 0.56/0.82     ( ~( product @ U @ Z @ W ) ) | ( product @ X @ V @ W ))).
% 0.56/0.82  thf(zip_derived_cl6, plain,
% 0.56/0.82      (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 0.56/0.82         (~ (product @ X0 @ X1 @ X2)
% 0.56/0.82          | ~ (product @ X1 @ X3 @ X4)
% 0.56/0.82          | ~ (product @ X2 @ X3 @ X5)
% 0.56/0.82          |  (product @ X0 @ X4 @ X5))),
% 0.56/0.82      inference('cnf', [status(esa)], [associativity1])).
% 0.56/0.82  thf(zip_derived_cl27, plain,
% 0.56/0.82      (![X0 : $i, X1 : $i, X2 : $i]:
% 0.56/0.82         ( (product @ a @ X1 @ X0)
% 0.56/0.82          | ~ (product @ c @ X2 @ X0)
% 0.56/0.82          | ~ (product @ b @ X2 @ X1))),
% 0.56/0.82      inference('sup-', [status(thm)], [zip_derived_cl9, zip_derived_cl6])).
% 0.56/0.82  thf(zip_derived_cl57, plain,
% 0.56/0.82      (![X0 : $i, X1 : $i]:
% 0.56/0.82         (~ (product @ b @ X0 @ X1) |  (product @ a @ X1 @ (multiply @ c @ X0)))),
% 0.56/0.82      inference('sup-', [status(thm)], [zip_derived_cl4, zip_derived_cl27])).
% 0.56/0.82  thf(zip_derived_cl130, plain,
% 0.56/0.82      ( (product @ a @ identity @ (multiply @ c @ b))),
% 0.56/0.82      inference('sup-', [status(thm)], [zip_derived_cl8, zip_derived_cl57])).
% 0.56/0.82  thf(right_identity, axiom, (product @ X @ identity @ X)).
% 0.56/0.82  thf(zip_derived_cl1, plain, (![X0 : $i]:  (product @ X0 @ identity @ X0)),
% 0.56/0.82      inference('cnf', [status(esa)], [right_identity])).
% 0.56/0.82  thf(total_function2, axiom,
% 0.56/0.82    (( ~( product @ X @ Y @ Z ) ) | ( ~( product @ X @ Y @ W ) ) | 
% 0.56/0.82     ( ( Z ) = ( W ) ))).
% 0.56/0.82  thf(zip_derived_cl5, plain,
% 0.56/0.82      (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.56/0.82         (~ (product @ X0 @ X1 @ X2)
% 0.56/0.82          | ~ (product @ X0 @ X1 @ X3)
% 0.56/0.82          | ((X2) = (X3)))),
% 0.56/0.82      inference('cnf', [status(esa)], [total_function2])).
% 0.56/0.82  thf(zip_derived_cl13, plain,
% 0.56/0.82      (![X0 : $i, X1 : $i]: (((X0) = (X1)) | ~ (product @ X0 @ identity @ X1))),
% 0.56/0.82      inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl5])).
% 0.56/0.82  thf(zip_derived_cl139, plain, (((a) = (multiply @ c @ b))),
% 0.56/0.82      inference('sup-', [status(thm)], [zip_derived_cl130, zip_derived_cl13])).
% 0.56/0.82  thf(zip_derived_cl4, plain,
% 0.56/0.82      (![X0 : $i, X1 : $i]:  (product @ X0 @ X1 @ (multiply @ X0 @ X1))),
% 0.56/0.82      inference('cnf', [status(esa)], [total_function1])).
% 0.56/0.82  thf(zip_derived_cl143, plain, ( (product @ c @ b @ a)),
% 0.56/0.82      inference('sup+', [status(thm)], [zip_derived_cl139, zip_derived_cl4])).
% 0.56/0.82  thf(left_identity, axiom, (product @ identity @ X @ X)).
% 0.56/0.82  thf(zip_derived_cl0, plain, (![X0 : $i]:  (product @ identity @ X0 @ X0)),
% 0.56/0.82      inference('cnf', [status(esa)], [left_identity])).
% 0.56/0.82  thf(zip_derived_cl8, plain, (![X0 : $i]:  (product @ X0 @ X0 @ identity)),
% 0.56/0.82      inference('cnf', [status(esa)], [square_element])).
% 0.56/0.82  thf(zip_derived_cl6, plain,
% 0.56/0.82      (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 0.56/0.82         (~ (product @ X0 @ X1 @ X2)
% 0.56/0.82          | ~ (product @ X1 @ X3 @ X4)
% 0.56/0.82          | ~ (product @ X2 @ X3 @ X5)
% 0.56/0.82          |  (product @ X0 @ X4 @ X5))),
% 0.56/0.82      inference('cnf', [status(esa)], [associativity1])).
% 0.56/0.82  thf(zip_derived_cl21, plain,
% 0.56/0.82      (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.56/0.82         ( (product @ X0 @ X2 @ X1)
% 0.56/0.82          | ~ (product @ identity @ X3 @ X1)
% 0.56/0.82          | ~ (product @ X0 @ X3 @ X2))),
% 0.56/0.82      inference('sup-', [status(thm)], [zip_derived_cl8, zip_derived_cl6])).
% 0.56/0.82  thf(zip_derived_cl148, plain,
% 0.56/0.82      (![X0 : $i, X1 : $i, X2 : $i]:
% 0.56/0.82         (~ (product @ X2 @ X0 @ X1) |  (product @ X2 @ X1 @ X0))),
% 0.56/0.82      inference('sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl21])).
% 0.56/0.82  thf(zip_derived_cl168, plain, ( (product @ c @ a @ b)),
% 0.56/0.82      inference('sup-', [status(thm)], [zip_derived_cl143, zip_derived_cl148])).
% 0.56/0.82  thf(zip_derived_cl27, plain,
% 0.56/0.82      (![X0 : $i, X1 : $i, X2 : $i]:
% 0.56/0.82         ( (product @ a @ X1 @ X0)
% 0.56/0.82          | ~ (product @ c @ X2 @ X0)
% 0.56/0.82          | ~ (product @ b @ X2 @ X1))),
% 0.56/0.82      inference('sup-', [status(thm)], [zip_derived_cl9, zip_derived_cl6])).
% 0.56/0.82  thf(zip_derived_cl180, plain,
% 0.56/0.82      (![X0 : $i]: (~ (product @ b @ a @ X0) |  (product @ a @ X0 @ b))),
% 0.56/0.82      inference('sup-', [status(thm)], [zip_derived_cl168, zip_derived_cl27])).
% 0.56/0.82  thf(zip_derived_cl248, plain, ( (product @ a @ (multiply @ b @ a) @ b)),
% 0.56/0.82      inference('sup-', [status(thm)], [zip_derived_cl4, zip_derived_cl180])).
% 0.56/0.82  thf(zip_derived_cl148, plain,
% 0.56/0.82      (![X0 : $i, X1 : $i, X2 : $i]:
% 0.56/0.82         (~ (product @ X2 @ X0 @ X1) |  (product @ X2 @ X1 @ X0))),
% 0.56/0.82      inference('sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl21])).
% 0.56/0.82  thf(zip_derived_cl254, plain, ( (product @ a @ b @ (multiply @ b @ a))),
% 0.56/0.82      inference('sup-', [status(thm)], [zip_derived_cl248, zip_derived_cl148])).
% 0.56/0.82  thf(zip_derived_cl9, plain, ( (product @ a @ b @ c)),
% 0.56/0.82      inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.56/0.82  thf(zip_derived_cl5, plain,
% 0.56/0.82      (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.56/0.82         (~ (product @ X0 @ X1 @ X2)
% 0.56/0.82          | ~ (product @ X0 @ X1 @ X3)
% 0.56/0.82          | ((X2) = (X3)))),
% 0.56/0.82      inference('cnf', [status(esa)], [total_function2])).
% 0.56/0.82  thf(zip_derived_cl17, plain,
% 0.56/0.82      (![X0 : $i]: (((c) = (X0)) | ~ (product @ a @ b @ X0))),
% 0.56/0.82      inference('sup-', [status(thm)], [zip_derived_cl9, zip_derived_cl5])).
% 0.56/0.82  thf(zip_derived_cl287, plain, (((c) = (multiply @ b @ a))),
% 0.56/0.82      inference('sup-', [status(thm)], [zip_derived_cl254, zip_derived_cl17])).
% 0.56/0.82  thf(zip_derived_cl4, plain,
% 0.56/0.82      (![X0 : $i, X1 : $i]:  (product @ X0 @ X1 @ (multiply @ X0 @ X1))),
% 0.56/0.82      inference('cnf', [status(esa)], [total_function1])).
% 0.56/0.82  thf(zip_derived_cl292, plain, ( (product @ b @ a @ c)),
% 0.56/0.82      inference('sup+', [status(thm)], [zip_derived_cl287, zip_derived_cl4])).
% 0.56/0.82  thf(zip_derived_cl294, plain, ($false),
% 0.56/0.82      inference('demod', [status(thm)], [zip_derived_cl10, zip_derived_cl292])).
% 0.56/0.82  
% 0.56/0.82  % SZS output end Refutation
% 0.56/0.82  
% 0.56/0.82  
% 0.56/0.82  % Terminating...
% 0.58/0.86  % Runner terminated.
% 0.58/0.88  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------