TSTP Solution File: GRP030-1 by Zipperpin---2.1.9999

View Problem - Process Solution

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% File     : Zipperpin---2.1.9999
% Problem  : GRP030-1 : 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.VjszWdIiEh 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 01:49:36 EDT 2023

% Result   : Unsatisfiable 1.24s 0.83s
% Output   : Refutation 1.24s
% Verified : 
% SZS Type : -

% Comments : 
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : GRP030-1 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.14  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.VjszWdIiEh true
% 0.15/0.35  % Computer : n015.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit : 300
% 0.15/0.35  % WCLimit  : 300
% 0.15/0.35  % DateTime : Tue Aug 29 00:25:10 EDT 2023
% 0.15/0.35  % CPUTime  : 
% 0.15/0.35  % Running portfolio for 300 s
% 0.15/0.35  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/0.35  % Number of cores: 8
% 0.15/0.36  % Python version: Python 3.6.8
% 0.15/0.36  % Running in FO mode
% 0.22/0.64  % Total configuration time : 435
% 0.22/0.64  % Estimated wc time : 1092
% 0.22/0.64  % Estimated cpu time (7 cpus) : 156.0
% 0.22/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.22/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.22/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.22/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.22/0.77  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 1.24/0.78  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 1.24/0.78  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 1.24/0.83  % Solved by fo/fo13.sh.
% 1.24/0.83  % done 83 iterations in 0.039s
% 1.24/0.83  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.24/0.83  % SZS output start Refutation
% 1.24/0.83  thf(product_type, type, product: $i > $i > $i > $o).
% 1.24/0.83  thf(a_type, type, a: $i).
% 1.24/0.83  thf(identity_type, type, identity: $i).
% 1.24/0.83  thf(inverse_type, type, inverse: $i > $i).
% 1.24/0.83  thf(multiply_type, type, multiply: $i > $i > $i).
% 1.24/0.83  thf(prove_identity_is_a_right_identity, conjecture,
% 1.24/0.83    (product @ a @ identity @ a)).
% 1.24/0.83  thf(zf_stmt_0, negated_conjecture, (~( product @ a @ identity @ a )),
% 1.24/0.83    inference('cnf.neg', [status(esa)], [prove_identity_is_a_right_identity])).
% 1.24/0.83  thf(zip_derived_cl6, plain, (~ (product @ a @ identity @ a)),
% 1.24/0.83      inference('cnf', [status(esa)], [zf_stmt_0])).
% 1.24/0.83  thf(total_function1, axiom, (product @ X @ Y @ ( multiply @ X @ Y ))).
% 1.24/0.83  thf(zip_derived_cl0, plain,
% 1.24/0.83      (![X0 : $i, X1 : $i]:  (product @ X0 @ X1 @ (multiply @ X0 @ X1))),
% 1.24/0.83      inference('cnf', [status(esa)], [total_function1])).
% 1.24/0.83  thf(left_identity, axiom, (product @ identity @ A @ A)).
% 1.24/0.83  thf(zip_derived_cl4, plain, (![X0 : $i]:  (product @ identity @ X0 @ X0)),
% 1.24/0.83      inference('cnf', [status(esa)], [left_identity])).
% 1.24/0.83  thf(left_inverse, axiom, (product @ ( inverse @ A ) @ A @ identity)).
% 1.24/0.83  thf(zip_derived_cl5, plain,
% 1.24/0.83      (![X0 : $i]:  (product @ (inverse @ X0) @ X0 @ identity)),
% 1.24/0.83      inference('cnf', [status(esa)], [left_inverse])).
% 1.24/0.83  thf(associativity1, axiom,
% 1.24/0.83    (( ~( product @ X @ Y @ U ) ) | ( ~( product @ Y @ Z @ V ) ) | 
% 1.24/0.83     ( ~( product @ U @ Z @ W ) ) | ( product @ X @ V @ W ))).
% 1.24/0.83  thf(zip_derived_cl2, plain,
% 1.24/0.83      (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 1.24/0.83         (~ (product @ X0 @ X1 @ X2)
% 1.24/0.83          | ~ (product @ X1 @ X3 @ X4)
% 1.24/0.83          | ~ (product @ X2 @ X3 @ X5)
% 1.24/0.83          |  (product @ X0 @ X4 @ X5))),
% 1.24/0.83      inference('cnf', [status(esa)], [associativity1])).
% 1.24/0.83  thf(zip_derived_cl17, plain,
% 1.24/0.83      (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.24/0.83         (~ (product @ X0 @ X2 @ X1)
% 1.24/0.83          | ~ (product @ identity @ X2 @ X3)
% 1.24/0.83          |  (product @ (inverse @ X0) @ X1 @ X3))),
% 1.24/0.83      inference('s_sup-', [status(thm)], [zip_derived_cl5, zip_derived_cl2])).
% 1.24/0.83  thf(zip_derived_cl50, plain,
% 1.24/0.83      (![X0 : $i, X1 : $i, X2 : $i]:
% 1.24/0.83         (~ (product @ X2 @ X0 @ X1) |  (product @ (inverse @ X2) @ X1 @ X0))),
% 1.24/0.83      inference('s_sup-', [status(thm)], [zip_derived_cl4, zip_derived_cl17])).
% 1.24/0.83  thf(zip_derived_cl52, plain,
% 1.24/0.83      (![X0 : $i, X1 : $i]:
% 1.24/0.83          (product @ (inverse @ X1) @ (multiply @ X1 @ X0) @ X0)),
% 1.24/0.83      inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl50])).
% 1.24/0.83  thf(zip_derived_cl5, plain,
% 1.24/0.83      (![X0 : $i]:  (product @ (inverse @ X0) @ X0 @ identity)),
% 1.24/0.83      inference('cnf', [status(esa)], [left_inverse])).
% 1.24/0.83  thf(zip_derived_cl50, plain,
% 1.24/0.83      (![X0 : $i, X1 : $i, X2 : $i]:
% 1.24/0.83         (~ (product @ X2 @ X0 @ X1) |  (product @ (inverse @ X2) @ X1 @ X0))),
% 1.24/0.83      inference('s_sup-', [status(thm)], [zip_derived_cl4, zip_derived_cl17])).
% 1.24/0.83  thf(zip_derived_cl54, plain,
% 1.24/0.83      (![X0 : $i]:  (product @ (inverse @ (inverse @ X0)) @ identity @ X0)),
% 1.24/0.83      inference('s_sup-', [status(thm)], [zip_derived_cl5, zip_derived_cl50])).
% 1.24/0.83  thf(total_function2, axiom,
% 1.24/0.83    (( ~( product @ X @ Y @ Z ) ) | ( ~( product @ X @ Y @ W ) ) | 
% 1.24/0.83     ( ( Z ) = ( W ) ))).
% 1.24/0.83  thf(zip_derived_cl1, plain,
% 1.24/0.83      (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.24/0.83         (~ (product @ X0 @ X1 @ X2)
% 1.24/0.83          | ~ (product @ X0 @ X1 @ X3)
% 1.24/0.83          | ((X2) = (X3)))),
% 1.24/0.83      inference('cnf', [status(esa)], [total_function2])).
% 1.24/0.83  thf(zip_derived_cl113, plain,
% 1.24/0.83      (![X0 : $i, X1 : $i]:
% 1.24/0.83         (~ (product @ (inverse @ (inverse @ X0)) @ identity @ X1)
% 1.24/0.83          | ((X0) = (X1)))),
% 1.24/0.83      inference('s_sup-', [status(thm)], [zip_derived_cl54, zip_derived_cl1])).
% 1.24/0.83  thf(zip_derived_cl50, plain,
% 1.24/0.83      (![X0 : $i, X1 : $i, X2 : $i]:
% 1.24/0.83         (~ (product @ X2 @ X0 @ X1) |  (product @ (inverse @ X2) @ X1 @ X0))),
% 1.24/0.83      inference('s_sup-', [status(thm)], [zip_derived_cl4, zip_derived_cl17])).
% 1.24/0.83  thf(zip_derived_cl132, plain,
% 1.24/0.83      (![X0 : $i, X1 : $i]:
% 1.24/0.83         (((X1) = (X0)) | ~ (product @ (inverse @ X1) @ X0 @ identity))),
% 1.24/0.83      inference('s_sup+', [status(thm)], [zip_derived_cl113, zip_derived_cl50])).
% 1.24/0.83  thf(zip_derived_cl198, plain,
% 1.24/0.83      (![X0 : $i]: ((X0) = (multiply @ X0 @ identity))),
% 1.24/0.83      inference('s_sup-', [status(thm)], [zip_derived_cl52, zip_derived_cl132])).
% 1.24/0.83  thf(zip_derived_cl0, plain,
% 1.24/0.83      (![X0 : $i, X1 : $i]:  (product @ X0 @ X1 @ (multiply @ X0 @ X1))),
% 1.24/0.83      inference('cnf', [status(esa)], [total_function1])).
% 1.24/0.83  thf(zip_derived_cl207, plain, (![X0 : $i]:  (product @ X0 @ identity @ X0)),
% 1.24/0.83      inference('s_sup+', [status(thm)], [zip_derived_cl198, zip_derived_cl0])).
% 1.24/0.83  thf(zip_derived_cl218, plain, ($false),
% 1.24/0.83      inference('demod', [status(thm)], [zip_derived_cl6, zip_derived_cl207])).
% 1.24/0.83  
% 1.24/0.83  % SZS output end Refutation
% 1.24/0.83  
% 1.24/0.83  
% 1.24/0.83  % Terminating...
% 1.46/0.86  % Runner terminated.
% 1.46/0.87  % Zipperpin 1.5 exiting
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