TSTP Solution File: GRP031-2 by Zipperpin---2.1.9999

View Problem - Process Solution

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% File     : Zipperpin---2.1.9999
% Problem  : GRP031-2 : 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.BGE6qLVfKc true

% Computer : n017.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 01:49:37 EDT 2023

% Result   : Unsatisfiable 1.29s 0.95s
% Output   : Refutation 1.29s
% Verified : 
% SZS Type : -

% Comments : 
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : GRP031-2 : TPTP v8.1.2. Released v1.0.0.
% 0.07/0.13  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.BGE6qLVfKc true
% 0.13/0.34  % Computer : n017.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 01:47:58 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 0.13/0.34  % Running portfolio for 300 s
% 0.13/0.34  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.35  % Number of cores: 8
% 0.13/0.35  % Python version: Python 3.6.8
% 0.13/0.35  % Running in FO mode
% 0.20/0.62  % Total configuration time : 435
% 0.20/0.62  % Estimated wc time : 1092
% 0.20/0.62  % Estimated cpu time (7 cpus) : 156.0
% 0.20/0.73  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.20/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.20/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.20/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.20/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.20/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 1.29/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 1.29/0.95  % Solved by fo/fo3_bce.sh.
% 1.29/0.95  % BCE start: 7
% 1.29/0.95  % BCE eliminated: 1
% 1.29/0.95  % PE start: 6
% 1.29/0.95  logic: neq
% 1.29/0.95  % PE eliminated: 0
% 1.29/0.95  % done 405 iterations in 0.189s
% 1.29/0.95  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.29/0.95  % SZS output start Refutation
% 1.29/0.95  thf(product_type, type, product: $i > $i > $i > $o).
% 1.29/0.95  thf(identity_type, type, identity: $i).
% 1.29/0.95  thf(a_type, type, a: $i).
% 1.29/0.95  thf(inverse_type, type, inverse: $i > $i).
% 1.29/0.95  thf(right_identity, axiom, (product @ A @ identity @ A)).
% 1.29/0.95  thf(zip_derived_cl5, plain, (![X0 : $i]:  (product @ X0 @ identity @ X0)),
% 1.29/0.95      inference('cnf', [status(esa)], [right_identity])).
% 1.29/0.95  thf(right_inverse, axiom, (product @ A @ ( inverse @ A ) @ identity)).
% 1.29/0.95  thf(zip_derived_cl4, plain,
% 1.29/0.95      (![X0 : $i]:  (product @ X0 @ (inverse @ X0) @ identity)),
% 1.29/0.95      inference('cnf', [status(esa)], [right_inverse])).
% 1.29/0.95  thf(zip_derived_cl4, plain,
% 1.29/0.95      (![X0 : $i]:  (product @ X0 @ (inverse @ X0) @ identity)),
% 1.29/0.95      inference('cnf', [status(esa)], [right_inverse])).
% 1.29/0.95  thf(associativity2, axiom,
% 1.29/0.95    (( ~( product @ X @ Y @ U ) ) | ( ~( product @ Y @ Z @ V ) ) | 
% 1.29/0.95     ( ~( product @ X @ V @ W ) ) | ( product @ U @ Z @ W ))).
% 1.29/0.95  thf(zip_derived_cl3, plain,
% 1.29/0.95      (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 1.29/0.95         (~ (product @ X0 @ X1 @ X2)
% 1.29/0.95          | ~ (product @ X1 @ X3 @ X4)
% 1.29/0.95          | ~ (product @ X0 @ X4 @ X5)
% 1.29/0.95          |  (product @ X2 @ X3 @ X5))),
% 1.29/0.95      inference('cnf', [status(esa)], [associativity2])).
% 1.29/0.95  thf(zip_derived_cl14, plain,
% 1.29/0.95      (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.29/0.95         ( (product @ identity @ X2 @ X1)
% 1.29/0.95          | ~ (product @ X0 @ X3 @ X1)
% 1.29/0.95          | ~ (product @ (inverse @ X0) @ X2 @ X3))),
% 1.29/0.95      inference('sup-', [status(thm)], [zip_derived_cl4, zip_derived_cl3])).
% 1.29/0.95  thf(zip_derived_cl154, plain,
% 1.29/0.95      (![X0 : $i, X1 : $i]:
% 1.29/0.95         (~ (product @ X0 @ identity @ X1)
% 1.29/0.95          |  (product @ identity @ (inverse @ (inverse @ X0)) @ X1))),
% 1.29/0.95      inference('sup-', [status(thm)], [zip_derived_cl4, zip_derived_cl14])).
% 1.29/0.95  thf(zip_derived_cl679, plain,
% 1.29/0.95      (![X0 : $i]:  (product @ identity @ (inverse @ (inverse @ X0)) @ X0)),
% 1.29/0.95      inference('sup-', [status(thm)], [zip_derived_cl5, zip_derived_cl154])).
% 1.29/0.95  thf(zip_derived_cl4, plain,
% 1.29/0.95      (![X0 : $i]:  (product @ X0 @ (inverse @ X0) @ identity)),
% 1.29/0.95      inference('cnf', [status(esa)], [right_inverse])).
% 1.29/0.95  thf(zip_derived_cl5, plain, (![X0 : $i]:  (product @ X0 @ identity @ X0)),
% 1.29/0.95      inference('cnf', [status(esa)], [right_identity])).
% 1.29/0.95  thf(associativity1, axiom,
% 1.29/0.95    (( ~( product @ X @ Y @ U ) ) | ( ~( product @ Y @ Z @ V ) ) | 
% 1.29/0.95     ( ~( product @ U @ Z @ W ) ) | ( product @ X @ V @ W ))).
% 1.29/0.95  thf(zip_derived_cl2, plain,
% 1.29/0.95      (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 1.29/0.95         (~ (product @ X0 @ X1 @ X2)
% 1.29/0.95          | ~ (product @ X1 @ X3 @ X4)
% 1.29/0.95          | ~ (product @ X2 @ X3 @ X5)
% 1.29/0.95          |  (product @ X0 @ X4 @ X5))),
% 1.29/0.95      inference('cnf', [status(esa)], [associativity1])).
% 1.29/0.95  thf(zip_derived_cl9, plain,
% 1.29/0.95      (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.29/0.95         ( (product @ X0 @ X2 @ X1)
% 1.29/0.95          | ~ (product @ X0 @ X3 @ X1)
% 1.29/0.95          | ~ (product @ identity @ X3 @ X2))),
% 1.29/0.95      inference('sup-', [status(thm)], [zip_derived_cl5, zip_derived_cl2])).
% 1.29/0.95  thf(zip_derived_cl20, plain,
% 1.29/0.95      (![X0 : $i, X1 : $i]:
% 1.29/0.95         (~ (product @ identity @ (inverse @ X0) @ X1)
% 1.29/0.95          |  (product @ X0 @ X1 @ identity))),
% 1.29/0.95      inference('sup-', [status(thm)], [zip_derived_cl4, zip_derived_cl9])).
% 1.29/0.95  thf(zip_derived_cl1230, plain,
% 1.29/0.95      (![X0 : $i]:  (product @ (inverse @ X0) @ X0 @ identity)),
% 1.29/0.95      inference('sup-', [status(thm)], [zip_derived_cl679, zip_derived_cl20])).
% 1.29/0.95  thf(prove_a_has_a_left_inverse, conjecture, (product @ A @ a @ identity)).
% 1.29/0.95  thf(zf_stmt_0, negated_conjecture, (~( product @ A @ a @ identity )),
% 1.29/0.95    inference('cnf.neg', [status(esa)], [prove_a_has_a_left_inverse])).
% 1.29/0.95  thf(zip_derived_cl6, plain, (![X0 : $i]: ~ (product @ X0 @ a @ identity)),
% 1.29/0.95      inference('cnf', [status(esa)], [zf_stmt_0])).
% 1.29/0.95  thf(zip_derived_cl1382, plain, ($false),
% 1.29/0.95      inference('sup-', [status(thm)], [zip_derived_cl1230, zip_derived_cl6])).
% 1.29/0.95  
% 1.29/0.95  % SZS output end Refutation
% 1.29/0.95  
% 1.29/0.95  
% 1.29/0.95  % Terminating...
% 1.84/1.04  % Runner terminated.
% 1.84/1.06  % Zipperpin 1.5 exiting
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