TSTP Solution File: GRP004-2 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : GRP004-2 : 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.DjPZ7RrHsM true

% Computer : n013.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 01:49:27 EDT 2023

% Result   : Unsatisfiable 0.57s 0.85s
% Output   : Refutation 0.57s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : GRP004-2 : TPTP v8.1.2. Released v1.0.0.
% 0.12/0.13  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.DjPZ7RrHsM true
% 0.12/0.34  % Computer : n013.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 300
% 0.12/0.34  % DateTime : Mon Aug 28 20:03:46 EDT 2023
% 0.12/0.34  % CPUTime  : 
% 0.12/0.34  % Running portfolio for 300 s
% 0.12/0.34  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.34  % Number of cores: 8
% 0.12/0.34  % Python version: Python 3.6.8
% 0.12/0.34  % 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
% 0.53/0.69  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.53/0.73  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.53/0.73  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.53/0.74  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.53/0.74  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.53/0.74  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.53/0.74  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.57/0.85  % Solved by fo/fo6_bce.sh.
% 0.57/0.85  % BCE start: 8
% 0.57/0.85  % BCE eliminated: 0
% 0.57/0.85  % PE start: 8
% 0.57/0.85  logic: neq
% 0.57/0.85  % PE eliminated: 1
% 0.57/0.85  % done 153 iterations in 0.145s
% 0.57/0.85  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.57/0.85  % SZS output start Refutation
% 0.57/0.85  thf(product_type, type, product: $i > $i > $i > $o).
% 0.57/0.85  thf(inverse_type, type, inverse: $i > $i).
% 0.57/0.85  thf(equalish_type, type, equalish: $i > $i > $o).
% 0.57/0.85  thf(identity_type, type, identity: $i).
% 0.57/0.85  thf(multiply_type, type, multiply: $i > $i > $i).
% 0.57/0.85  thf(a_type, type, a: $i).
% 0.57/0.85  thf(prove_right_inverse, conjecture,
% 0.57/0.85    (product @ a @ ( inverse @ a ) @ identity)).
% 0.57/0.85  thf(zf_stmt_0, negated_conjecture,
% 0.57/0.85    (~( product @ a @ ( inverse @ a ) @ identity )),
% 0.57/0.85    inference('cnf.neg', [status(esa)], [prove_right_inverse])).
% 0.57/0.85  thf(zip_derived_cl7, plain, (~ (product @ a @ (inverse @ a) @ identity)),
% 0.57/0.85      inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.57/0.85  thf(total_function1, axiom, (product @ X @ Y @ ( multiply @ X @ Y ))).
% 0.57/0.85  thf(zip_derived_cl2, plain,
% 0.57/0.85      (![X0 : $i, X1 : $i]:  (product @ X0 @ X1 @ (multiply @ X0 @ X1))),
% 0.57/0.85      inference('cnf', [status(esa)], [total_function1])).
% 0.57/0.85  thf(left_identity, axiom, (product @ identity @ X @ X)).
% 0.57/0.85  thf(zip_derived_cl0, plain, (![X0 : $i]:  (product @ identity @ X0 @ X0)),
% 0.57/0.85      inference('cnf', [status(esa)], [left_identity])).
% 0.57/0.85  thf(left_inverse, axiom, (product @ ( inverse @ X ) @ X @ identity)).
% 0.57/0.85  thf(zip_derived_cl1, plain,
% 0.57/0.85      (![X0 : $i]:  (product @ (inverse @ X0) @ X0 @ identity)),
% 0.57/0.85      inference('cnf', [status(esa)], [left_inverse])).
% 0.57/0.85  thf(associativity1, axiom,
% 0.57/0.85    (( ~( product @ X @ Y @ U ) ) | ( ~( product @ Y @ Z @ V ) ) | 
% 0.57/0.85     ( ~( product @ U @ Z @ W ) ) | ( product @ X @ V @ W ))).
% 0.57/0.85  thf(zip_derived_cl4, plain,
% 0.57/0.85      (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 0.57/0.85         (~ (product @ X0 @ X1 @ X2)
% 0.57/0.85          | ~ (product @ X1 @ X3 @ X4)
% 0.57/0.85          | ~ (product @ X2 @ X3 @ X5)
% 0.57/0.85          |  (product @ X0 @ X4 @ X5))),
% 0.57/0.85      inference('cnf', [status(esa)], [associativity1])).
% 0.57/0.85  thf(zip_derived_cl11, plain,
% 0.57/0.85      (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.57/0.85         (~ (product @ X0 @ X2 @ X1)
% 0.57/0.85          | ~ (product @ identity @ X2 @ X3)
% 0.57/0.85          |  (product @ (inverse @ X0) @ X1 @ X3))),
% 0.57/0.85      inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl4])).
% 0.57/0.85  thf(zip_derived_cl78, plain,
% 0.57/0.85      (![X0 : $i, X1 : $i, X2 : $i]:
% 0.57/0.85         (~ (product @ X2 @ X0 @ X1) |  (product @ (inverse @ X2) @ X1 @ X0))),
% 0.57/0.85      inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl11])).
% 0.57/0.85  thf(zip_derived_cl78, plain,
% 0.57/0.85      (![X0 : $i, X1 : $i, X2 : $i]:
% 0.57/0.85         (~ (product @ X2 @ X0 @ X1) |  (product @ (inverse @ X2) @ X1 @ X0))),
% 0.57/0.85      inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl11])).
% 0.57/0.85  thf(zip_derived_cl1, plain,
% 0.57/0.85      (![X0 : $i]:  (product @ (inverse @ X0) @ X0 @ identity)),
% 0.57/0.85      inference('cnf', [status(esa)], [left_inverse])).
% 0.57/0.85  thf(total_function2, axiom,
% 0.57/0.85    (( ~( product @ X @ Y @ Z ) ) | ( ~( product @ X @ Y @ W ) ) | 
% 0.57/0.85     ( equalish @ Z @ W ))).
% 0.57/0.85  thf(zip_derived_cl3, plain,
% 0.57/0.85      (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.57/0.85         (~ (product @ X0 @ X1 @ X2)
% 0.57/0.85          | ~ (product @ X0 @ X1 @ X3)
% 0.57/0.85          |  (equalish @ X2 @ X3))),
% 0.57/0.85      inference('cnf', [status(esa)], [total_function2])).
% 0.57/0.85  thf(product_substitution3, axiom,
% 0.57/0.85    (( ~( equalish @ X @ Y ) ) | ( ~( product @ W @ Z @ X ) ) | 
% 0.57/0.85     ( product @ W @ Z @ Y ))).
% 0.57/0.85  thf(zip_derived_cl6, plain,
% 0.57/0.85      (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.57/0.85         (~ (equalish @ X0 @ X1)
% 0.57/0.85          | ~ (product @ X2 @ X3 @ X0)
% 0.57/0.85          |  (product @ X2 @ X3 @ X1))),
% 0.57/0.85      inference('cnf', [status(esa)], [product_substitution3])).
% 0.57/0.85  thf(zip_derived_cl8, plain,
% 0.57/0.85      (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 0.57/0.85         (~ (product @ X5 @ X4 @ X0)
% 0.57/0.85          | ~ (product @ X5 @ X4 @ X3)
% 0.57/0.85          |  (product @ X2 @ X1 @ X0)
% 0.57/0.85          | ~ (product @ X2 @ X1 @ X3))),
% 0.57/0.85      inference('dp-resolution', [status(thm)],
% 0.57/0.85                [zip_derived_cl3, zip_derived_cl6])).
% 0.57/0.85  thf(zip_derived_cl41, plain,
% 0.57/0.85      (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.57/0.85         (~ (product @ (inverse @ X0) @ X0 @ X1)
% 0.57/0.85          |  (product @ X3 @ X2 @ identity)
% 0.57/0.85          | ~ (product @ X3 @ X2 @ X1))),
% 0.57/0.85      inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl8])).
% 0.57/0.85  thf(zip_derived_cl727, plain,
% 0.57/0.85      (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.57/0.85         (~ (product @ X1 @ X0 @ X1)
% 0.57/0.85          |  (product @ X3 @ X2 @ identity)
% 0.57/0.85          | ~ (product @ X3 @ X2 @ X0))),
% 0.57/0.85      inference('s_sup-', [status(thm)], [zip_derived_cl78, zip_derived_cl41])).
% 0.57/0.85  thf(zip_derived_cl794, plain,
% 0.57/0.85      (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.57/0.85         (~ (product @ X0 @ (inverse @ X0) @ X1)
% 0.57/0.85          |  (product @ X3 @ X2 @ identity)
% 0.57/0.85          | ~ (product @ X3 @ X2 @ X1))),
% 0.57/0.85      inference('s_sup-', [status(thm)], [zip_derived_cl78, zip_derived_cl727])).
% 0.57/0.85  thf(zip_derived_cl872, plain,
% 0.57/0.85      (![X0 : $i, X1 : $i]:
% 0.57/0.85         (~ (product @ X1 @ (inverse @ X1) @ X0)
% 0.57/0.85          |  (product @ X1 @ (inverse @ X1) @ identity))),
% 0.57/0.85      inference('eq_fact', [status(thm)], [zip_derived_cl794])).
% 0.57/0.85  thf(zip_derived_cl873, plain,
% 0.57/0.85      (![X0 : $i]:  (product @ X0 @ (inverse @ X0) @ identity)),
% 0.57/0.85      inference('s_sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl872])).
% 0.57/0.85  thf(zip_derived_cl926, plain, ($false),
% 0.57/0.85      inference('demod', [status(thm)], [zip_derived_cl7, zip_derived_cl873])).
% 0.57/0.85  
% 0.57/0.85  % SZS output end Refutation
% 0.57/0.85  
% 0.57/0.85  
% 0.57/0.85  % Terminating...
% 0.58/0.94  % Runner terminated.
% 0.58/0.95  % Zipperpin 1.5 exiting
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