TSTP Solution File: GRP448-1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : GRP448-1 : TPTP v8.1.2. Released v2.6.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.CB0fo5FNlc true

% Computer : n007.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 01:51:41 EDT 2023

% Result   : Unsatisfiable 0.54s 0.76s
% Output   : Refutation 0.54s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : GRP448-1 : TPTP v8.1.2. Released v2.6.0.
% 0.06/0.13  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.CB0fo5FNlc true
% 0.13/0.34  % Computer : n007.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 : Mon Aug 28 20:44:43 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
% 0.13/0.34  % Python version: Python 3.6.8
% 0.13/0.34  % Running in FO mode
% 0.54/0.62  % Total configuration time : 435
% 0.54/0.62  % Estimated wc time : 1092
% 0.54/0.62  % Estimated cpu time (7 cpus) : 156.0
% 0.54/0.69  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.54/0.71  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.54/0.72  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.54/0.74  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.54/0.74  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.54/0.74  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.54/0.74  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.54/0.76  % Solved by fo/fo6_bce.sh.
% 0.54/0.76  % BCE start: 4
% 0.54/0.76  % BCE eliminated: 0
% 0.54/0.76  % PE start: 4
% 0.54/0.76  logic: eq
% 0.54/0.76  % PE eliminated: 0
% 0.54/0.76  % done 33 iterations in 0.055s
% 0.54/0.76  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.54/0.76  % SZS output start Refutation
% 0.54/0.76  thf(multiply_type, type, multiply: $i > $i > $i).
% 0.54/0.76  thf(b1_type, type, b1: $i).
% 0.54/0.76  thf(a1_type, type, a1: $i).
% 0.54/0.76  thf(divide_type, type, divide: $i > $i > $i).
% 0.54/0.76  thf(inverse_type, type, inverse: $i > $i).
% 0.54/0.76  thf(inverse, axiom, (( inverse @ A ) = ( divide @ ( divide @ B @ B ) @ A ))).
% 0.54/0.76  thf(zip_derived_cl2, plain,
% 0.54/0.76      (![X0 : $i, X1 : $i]:
% 0.54/0.76         ((inverse @ X1) = (divide @ (divide @ X0 @ X0) @ X1))),
% 0.54/0.76      inference('cnf', [status(esa)], [inverse])).
% 0.54/0.76  thf(zip_derived_cl2, plain,
% 0.54/0.76      (![X0 : $i, X1 : $i]:
% 0.54/0.76         ((inverse @ X1) = (divide @ (divide @ X0 @ X0) @ X1))),
% 0.54/0.76      inference('cnf', [status(esa)], [inverse])).
% 0.54/0.76  thf(zip_derived_cl4, plain,
% 0.54/0.76      (![X0 : $i, X1 : $i]:
% 0.54/0.76         ((inverse @ X1) = (divide @ (inverse @ (divide @ X0 @ X0)) @ X1))),
% 0.54/0.76      inference('s_sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl2])).
% 0.54/0.76  thf(single_axiom, axiom,
% 0.54/0.76    (( divide @
% 0.54/0.76       A @ 
% 0.54/0.76       ( divide @
% 0.54/0.76         ( divide @ ( divide @ ( divide @ B @ B ) @ B ) @ C ) @ 
% 0.54/0.76         ( divide @ ( divide @ ( divide @ B @ B ) @ A ) @ C ) ) ) =
% 0.54/0.76     ( B ))).
% 0.54/0.76  thf(zip_derived_cl0, plain,
% 0.54/0.76      (![X0 : $i, X1 : $i, X2 : $i]:
% 0.54/0.76         ((divide @ X1 @ 
% 0.54/0.76           (divide @ (divide @ (divide @ (divide @ X0 @ X0) @ X0) @ X2) @ 
% 0.54/0.76            (divide @ (divide @ (divide @ X0 @ X0) @ X1) @ X2)))
% 0.54/0.76           = (X0))),
% 0.54/0.76      inference('cnf', [status(esa)], [single_axiom])).
% 0.54/0.76  thf(zip_derived_cl2, plain,
% 0.54/0.76      (![X0 : $i, X1 : $i]:
% 0.54/0.76         ((inverse @ X1) = (divide @ (divide @ X0 @ X0) @ X1))),
% 0.54/0.76      inference('cnf', [status(esa)], [inverse])).
% 0.54/0.76  thf(zip_derived_cl2, plain,
% 0.54/0.76      (![X0 : $i, X1 : $i]:
% 0.54/0.76         ((inverse @ X1) = (divide @ (divide @ X0 @ X0) @ X1))),
% 0.54/0.76      inference('cnf', [status(esa)], [inverse])).
% 0.54/0.76  thf(zip_derived_cl10, plain,
% 0.54/0.76      (![X0 : $i, X1 : $i, X2 : $i]:
% 0.54/0.76         ((divide @ X1 @ 
% 0.54/0.76           (divide @ (divide @ (inverse @ X0) @ X2) @ 
% 0.54/0.76            (divide @ (inverse @ X1) @ X2)))
% 0.54/0.76           = (X0))),
% 0.54/0.76      inference('demod', [status(thm)],
% 0.54/0.76                [zip_derived_cl0, zip_derived_cl2, zip_derived_cl2])).
% 0.54/0.76  thf(zip_derived_cl4, plain,
% 0.54/0.76      (![X0 : $i, X1 : $i]:
% 0.54/0.76         ((inverse @ X1) = (divide @ (inverse @ (divide @ X0 @ X0)) @ X1))),
% 0.54/0.76      inference('s_sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl2])).
% 0.54/0.76  thf(zip_derived_cl14, plain,
% 0.54/0.76      (![X0 : $i, X1 : $i, X2 : $i]:
% 0.54/0.76         ((inverse @ 
% 0.54/0.76           (divide @ (divide @ (inverse @ X0) @ X1) @ 
% 0.54/0.76            (divide @ (inverse @ (inverse @ (divide @ X2 @ X2))) @ X1)))
% 0.54/0.76           = (X0))),
% 0.54/0.76      inference('s_sup+', [status(thm)], [zip_derived_cl10, zip_derived_cl4])).
% 0.54/0.76  thf(zip_derived_cl4, plain,
% 0.54/0.76      (![X0 : $i, X1 : $i]:
% 0.54/0.76         ((inverse @ X1) = (divide @ (inverse @ (divide @ X0 @ X0)) @ X1))),
% 0.54/0.76      inference('s_sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl2])).
% 0.54/0.76  thf(zip_derived_cl2, plain,
% 0.54/0.76      (![X0 : $i, X1 : $i]:
% 0.54/0.76         ((inverse @ X1) = (divide @ (divide @ X0 @ X0) @ X1))),
% 0.54/0.76      inference('cnf', [status(esa)], [inverse])).
% 0.54/0.76  thf(zip_derived_cl6, plain,
% 0.54/0.76      (![X0 : $i, X1 : $i]:
% 0.54/0.76         ((inverse @ X1)
% 0.54/0.76           = (divide @ (inverse @ (inverse @ (divide @ X0 @ X0))) @ X1))),
% 0.54/0.76      inference('s_sup+', [status(thm)], [zip_derived_cl4, zip_derived_cl2])).
% 0.54/0.76  thf(multiply, axiom,
% 0.54/0.76    (( multiply @ A @ B ) =
% 0.54/0.76     ( divide @ A @ ( divide @ ( divide @ C @ C ) @ B ) ))).
% 0.54/0.76  thf(zip_derived_cl1, plain,
% 0.54/0.76      (![X0 : $i, X1 : $i, X2 : $i]:
% 0.54/0.76         ((multiply @ X0 @ X2)
% 0.54/0.76           = (divide @ X0 @ (divide @ (divide @ X1 @ X1) @ X2)))),
% 0.54/0.76      inference('cnf', [status(esa)], [multiply])).
% 0.54/0.76  thf(zip_derived_cl2, plain,
% 0.54/0.76      (![X0 : $i, X1 : $i]:
% 0.54/0.76         ((inverse @ X1) = (divide @ (divide @ X0 @ X0) @ X1))),
% 0.54/0.76      inference('cnf', [status(esa)], [inverse])).
% 0.54/0.76  thf(zip_derived_cl41, plain,
% 0.54/0.76      (![X0 : $i, X2 : $i]:
% 0.54/0.76         ((multiply @ X0 @ X2) = (divide @ X0 @ (inverse @ X2)))),
% 0.54/0.76      inference('demod', [status(thm)], [zip_derived_cl1, zip_derived_cl2])).
% 0.54/0.76  thf(zip_derived_cl226, plain,
% 0.54/0.76      (![X0 : $i, X1 : $i]:
% 0.54/0.76         ((inverse @ (multiply @ (divide @ (inverse @ X0) @ X1) @ X1)) = (X0))),
% 0.54/0.76      inference('demod', [status(thm)],
% 0.54/0.76                [zip_derived_cl14, zip_derived_cl6, zip_derived_cl41])).
% 0.54/0.76  thf(zip_derived_cl248, plain,
% 0.54/0.76      (![X0 : $i, X1 : $i]:
% 0.54/0.76         ((inverse @ (multiply @ (inverse @ X0) @ X0)) = (divide @ X1 @ X1))),
% 0.54/0.76      inference('s_sup+', [status(thm)], [zip_derived_cl4, zip_derived_cl226])).
% 0.54/0.76  thf(zip_derived_cl41, plain,
% 0.54/0.76      (![X0 : $i, X2 : $i]:
% 0.54/0.76         ((multiply @ X0 @ X2) = (divide @ X0 @ (inverse @ X2)))),
% 0.54/0.76      inference('demod', [status(thm)], [zip_derived_cl1, zip_derived_cl2])).
% 0.54/0.76  thf(zip_derived_cl259, plain,
% 0.54/0.76      (![X0 : $i, X1 : $i]:
% 0.54/0.76         ((multiply @ (inverse @ X1) @ X1)
% 0.54/0.76           = (inverse @ (multiply @ (inverse @ X0) @ X0)))),
% 0.54/0.76      inference('s_sup+', [status(thm)], [zip_derived_cl248, zip_derived_cl41])).
% 0.54/0.76  thf(zip_derived_cl259, plain,
% 0.54/0.76      (![X0 : $i, X1 : $i]:
% 0.54/0.76         ((multiply @ (inverse @ X1) @ X1)
% 0.54/0.76           = (inverse @ (multiply @ (inverse @ X0) @ X0)))),
% 0.54/0.76      inference('s_sup+', [status(thm)], [zip_derived_cl248, zip_derived_cl41])).
% 0.54/0.76  thf(zip_derived_cl339, plain,
% 0.54/0.76      (![X0 : $i, X1 : $i]:
% 0.54/0.76         ((multiply @ (inverse @ X1) @ X1) = (multiply @ (inverse @ X0) @ X0))),
% 0.54/0.76      inference('s_sup+', [status(thm)], [zip_derived_cl259, zip_derived_cl259])).
% 0.54/0.76  thf(prove_these_axioms_1, conjecture,
% 0.54/0.76    (( multiply @ ( inverse @ a1 ) @ a1 ) =
% 0.54/0.76     ( multiply @ ( inverse @ b1 ) @ b1 ))).
% 0.54/0.76  thf(zf_stmt_0, negated_conjecture,
% 0.54/0.76    (( multiply @ ( inverse @ a1 ) @ a1 ) !=
% 0.54/0.76     ( multiply @ ( inverse @ b1 ) @ b1 )),
% 0.54/0.76    inference('cnf.neg', [status(esa)], [prove_these_axioms_1])).
% 0.54/0.76  thf(zip_derived_cl3, plain,
% 0.54/0.76      (((multiply @ (inverse @ a1) @ a1) != (multiply @ (inverse @ b1) @ b1))),
% 0.54/0.76      inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.54/0.76  thf(zip_derived_cl375, plain,
% 0.54/0.76      (![X0 : $i]:
% 0.54/0.76         ((multiply @ (inverse @ a1) @ a1) != (multiply @ (inverse @ X0) @ X0))),
% 0.54/0.76      inference('s_sup-', [status(thm)], [zip_derived_cl339, zip_derived_cl3])).
% 0.54/0.76  thf(zip_derived_cl339, plain,
% 0.54/0.76      (![X0 : $i, X1 : $i]:
% 0.54/0.76         ((multiply @ (inverse @ X1) @ X1) = (multiply @ (inverse @ X0) @ X0))),
% 0.54/0.76      inference('s_sup+', [status(thm)], [zip_derived_cl259, zip_derived_cl259])).
% 0.54/0.76  thf(zip_derived_cl401, plain, ($false),
% 0.54/0.76      inference('simplify_reflect+', [status(thm)],
% 0.54/0.76                [zip_derived_cl375, zip_derived_cl339])).
% 0.54/0.76  
% 0.54/0.76  % SZS output end Refutation
% 0.54/0.76  
% 0.54/0.76  
% 0.54/0.76  % Terminating...
% 0.57/0.83  % Runner terminated.
% 0.57/0.84  % Zipperpin 1.5 exiting
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