TSTP Solution File: GRP170-2 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : GRP170-2 : TPTP v8.1.2. Bugfixed v1.2.1.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.1y5FVOcPu4 true

% Computer : n005.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 01:50:29 EDT 2023

% Result   : Unsatisfiable 82.40s 12.41s
% Output   : Refutation 82.40s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13  % Problem  : GRP170-2 : TPTP v8.1.2. Bugfixed v1.2.1.
% 0.12/0.14  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.1y5FVOcPu4 true
% 0.13/0.35  % Computer : n005.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 300
% 0.13/0.35  % DateTime : Mon Aug 28 23:55:08 EDT 2023
% 0.13/0.35  % CPUTime  : 
% 0.13/0.35  % Running portfolio for 300 s
% 0.13/0.35  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.35  % Number of cores: 8
% 0.13/0.36  % Python version: Python 3.6.8
% 0.13/0.36  % Running in FO mode
% 0.21/0.66  % Total configuration time : 435
% 0.21/0.66  % Estimated wc time : 1092
% 0.21/0.66  % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.72  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.21/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.21/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 1.11/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 1.11/0.78  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 82.40/12.41  % Solved by fo/fo6_bce.sh.
% 82.40/12.41  % BCE start: 18
% 82.40/12.41  % BCE eliminated: 0
% 82.40/12.41  % PE start: 18
% 82.40/12.41  logic: eq
% 82.40/12.41  % PE eliminated: 0
% 82.40/12.41  % done 873 iterations in 11.670s
% 82.40/12.41  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 82.40/12.41  % SZS output start Refutation
% 82.40/12.41  thf(c_type, type, c: $i).
% 82.40/12.41  thf(b_type, type, b: $i).
% 82.40/12.41  thf(least_upper_bound_type, type, least_upper_bound: $i > $i > $i).
% 82.40/12.41  thf(multiply_type, type, multiply: $i > $i > $i).
% 82.40/12.41  thf(greatest_lower_bound_type, type, greatest_lower_bound: $i > $i > $i).
% 82.40/12.41  thf(d_type, type, d: $i).
% 82.40/12.41  thf(a_type, type, a: $i).
% 82.40/12.41  thf(p03b_2, axiom, (( greatest_lower_bound @ c @ d ) = ( c ))).
% 82.40/12.41  thf(zip_derived_cl16, plain, (((greatest_lower_bound @ c @ d) = (c))),
% 82.40/12.41      inference('cnf', [status(esa)], [p03b_2])).
% 82.40/12.41  thf(symmetry_of_glb, axiom,
% 82.40/12.41    (( greatest_lower_bound @ X @ Y ) = ( greatest_lower_bound @ Y @ X ))).
% 82.40/12.41  thf(zip_derived_cl3, plain,
% 82.40/12.41      (![X0 : $i, X1 : $i]:
% 82.40/12.41         ((greatest_lower_bound @ X1 @ X0) = (greatest_lower_bound @ X0 @ X1))),
% 82.40/12.41      inference('cnf', [status(esa)], [symmetry_of_glb])).
% 82.40/12.41  thf(lub_absorbtion, axiom,
% 82.40/12.41    (( least_upper_bound @ X @ ( greatest_lower_bound @ X @ Y ) ) = ( X ))).
% 82.40/12.41  thf(zip_derived_cl9, plain,
% 82.40/12.41      (![X0 : $i, X1 : $i]:
% 82.40/12.41         ((least_upper_bound @ X0 @ (greatest_lower_bound @ X0 @ X1)) = (X0))),
% 82.40/12.41      inference('cnf', [status(esa)], [lub_absorbtion])).
% 82.40/12.41  thf(zip_derived_cl29, plain,
% 82.40/12.41      (![X0 : $i, X1 : $i]:
% 82.40/12.41         ((least_upper_bound @ X0 @ (greatest_lower_bound @ X1 @ X0)) = (X0))),
% 82.40/12.41      inference('s_sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl9])).
% 82.40/12.41  thf(zip_derived_cl220, plain, (((least_upper_bound @ d @ c) = (d))),
% 82.40/12.41      inference('s_sup+', [status(thm)], [zip_derived_cl16, zip_derived_cl29])).
% 82.40/12.41  thf(symmetry_of_lub, axiom,
% 82.40/12.41    (( least_upper_bound @ X @ Y ) = ( least_upper_bound @ Y @ X ))).
% 82.40/12.41  thf(zip_derived_cl4, plain,
% 82.40/12.41      (![X0 : $i, X1 : $i]:
% 82.40/12.41         ((least_upper_bound @ X1 @ X0) = (least_upper_bound @ X0 @ X1))),
% 82.40/12.41      inference('cnf', [status(esa)], [symmetry_of_lub])).
% 82.40/12.41  thf(zip_derived_cl247, plain, (((least_upper_bound @ c @ d) = (d))),
% 82.40/12.41      inference('s_sup+', [status(thm)], [zip_derived_cl220, zip_derived_cl4])).
% 82.40/12.41  thf(p03b_1, axiom, (( greatest_lower_bound @ a @ b ) = ( a ))).
% 82.40/12.41  thf(zip_derived_cl15, plain, (((greatest_lower_bound @ a @ b) = (a))),
% 82.40/12.41      inference('cnf', [status(esa)], [p03b_1])).
% 82.40/12.41  thf(zip_derived_cl29, plain,
% 82.40/12.41      (![X0 : $i, X1 : $i]:
% 82.40/12.41         ((least_upper_bound @ X0 @ (greatest_lower_bound @ X1 @ X0)) = (X0))),
% 82.40/12.41      inference('s_sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl9])).
% 82.40/12.41  thf(zip_derived_cl217, plain, (((least_upper_bound @ b @ a) = (b))),
% 82.40/12.41      inference('s_sup+', [status(thm)], [zip_derived_cl15, zip_derived_cl29])).
% 82.40/12.41  thf(zip_derived_cl4, plain,
% 82.40/12.41      (![X0 : $i, X1 : $i]:
% 82.40/12.41         ((least_upper_bound @ X1 @ X0) = (least_upper_bound @ X0 @ X1))),
% 82.40/12.41      inference('cnf', [status(esa)], [symmetry_of_lub])).
% 82.40/12.41  thf(zip_derived_cl242, plain, (((least_upper_bound @ a @ b) = (b))),
% 82.40/12.41      inference('s_sup+', [status(thm)], [zip_derived_cl217, zip_derived_cl4])).
% 82.40/12.41  thf(monotony_lub2, axiom,
% 82.40/12.41    (( multiply @ ( least_upper_bound @ Y @ Z ) @ X ) =
% 82.40/12.41     ( least_upper_bound @ ( multiply @ Y @ X ) @ ( multiply @ Z @ X ) ))).
% 82.40/12.41  thf(zip_derived_cl13, plain,
% 82.40/12.41      (![X0 : $i, X1 : $i, X2 : $i]:
% 82.40/12.41         ((multiply @ (least_upper_bound @ X0 @ X2) @ X1)
% 82.40/12.41           = (least_upper_bound @ (multiply @ X0 @ X1) @ (multiply @ X2 @ X1)))),
% 82.40/12.41      inference('cnf', [status(esa)], [monotony_lub2])).
% 82.40/12.41  thf(glb_absorbtion, axiom,
% 82.40/12.41    (( greatest_lower_bound @ X @ ( least_upper_bound @ X @ Y ) ) = ( X ))).
% 82.40/12.41  thf(zip_derived_cl10, plain,
% 82.40/12.41      (![X0 : $i, X1 : $i]:
% 82.40/12.41         ((greatest_lower_bound @ X0 @ (least_upper_bound @ X0 @ X1)) = (X0))),
% 82.40/12.41      inference('cnf', [status(esa)], [glb_absorbtion])).
% 82.40/12.41  thf(zip_derived_cl139, plain,
% 82.40/12.41      (![X0 : $i, X1 : $i, X2 : $i]:
% 82.40/12.41         ((greatest_lower_bound @ (multiply @ X2 @ X0) @ 
% 82.40/12.41           (multiply @ (least_upper_bound @ X2 @ X1) @ X0))
% 82.40/12.41           = (multiply @ X2 @ X0))),
% 82.40/12.41      inference('s_sup+', [status(thm)], [zip_derived_cl13, zip_derived_cl10])).
% 82.40/12.41  thf(zip_derived_cl1170, plain,
% 82.40/12.41      (![X0 : $i]:
% 82.40/12.41         ((greatest_lower_bound @ (multiply @ a @ X0) @ (multiply @ b @ X0))
% 82.40/12.41           = (multiply @ a @ X0))),
% 82.40/12.41      inference('s_sup+', [status(thm)], [zip_derived_cl242, zip_derived_cl139])).
% 82.40/12.41  thf(monotony_lub1, axiom,
% 82.40/12.41    (( multiply @ X @ ( least_upper_bound @ Y @ Z ) ) =
% 82.40/12.41     ( least_upper_bound @ ( multiply @ X @ Y ) @ ( multiply @ X @ Z ) ))).
% 82.40/12.41  thf(zip_derived_cl11, plain,
% 82.40/12.41      (![X0 : $i, X1 : $i, X2 : $i]:
% 82.40/12.41         ((multiply @ X0 @ (least_upper_bound @ X1 @ X2))
% 82.40/12.41           = (least_upper_bound @ (multiply @ X0 @ X1) @ (multiply @ X0 @ X2)))),
% 82.40/12.41      inference('cnf', [status(esa)], [monotony_lub1])).
% 82.40/12.41  thf(zip_derived_cl10, plain,
% 82.40/12.41      (![X0 : $i, X1 : $i]:
% 82.40/12.41         ((greatest_lower_bound @ X0 @ (least_upper_bound @ X0 @ X1)) = (X0))),
% 82.40/12.41      inference('cnf', [status(esa)], [glb_absorbtion])).
% 82.40/12.41  thf(zip_derived_cl87, plain,
% 82.40/12.41      (![X0 : $i, X1 : $i, X2 : $i]:
% 82.40/12.41         ((greatest_lower_bound @ (multiply @ X2 @ X1) @ 
% 82.40/12.41           (multiply @ X2 @ (least_upper_bound @ X1 @ X0)))
% 82.40/12.41           = (multiply @ X2 @ X1))),
% 82.40/12.41      inference('s_sup+', [status(thm)], [zip_derived_cl11, zip_derived_cl10])).
% 82.40/12.41  thf(associativity_of_glb, axiom,
% 82.40/12.41    (( greatest_lower_bound @ X @ ( greatest_lower_bound @ Y @ Z ) ) =
% 82.40/12.41     ( greatest_lower_bound @ ( greatest_lower_bound @ X @ Y ) @ Z ))).
% 82.40/12.41  thf(zip_derived_cl5, plain,
% 82.40/12.41      (![X0 : $i, X1 : $i, X2 : $i]:
% 82.40/12.41         ((greatest_lower_bound @ X0 @ (greatest_lower_bound @ X1 @ X2))
% 82.40/12.41           = (greatest_lower_bound @ (greatest_lower_bound @ X0 @ X1) @ X2))),
% 82.40/12.41      inference('cnf', [status(esa)], [associativity_of_glb])).
% 82.40/12.41  thf(zip_derived_cl392, plain,
% 82.40/12.41      (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 82.40/12.41         ((greatest_lower_bound @ (multiply @ X1 @ X0) @ 
% 82.40/12.41           (greatest_lower_bound @ 
% 82.40/12.41            (multiply @ X1 @ (least_upper_bound @ X0 @ X3)) @ X2))
% 82.40/12.41           = (greatest_lower_bound @ (multiply @ X1 @ X0) @ X2))),
% 82.40/12.41      inference('s_sup+', [status(thm)], [zip_derived_cl87, zip_derived_cl5])).
% 82.40/12.41  thf(zip_derived_cl31136, plain,
% 82.40/12.41      (![X0 : $i, X1 : $i]:
% 82.40/12.41         ((greatest_lower_bound @ (multiply @ a @ X1) @ 
% 82.40/12.41           (multiply @ a @ (least_upper_bound @ X1 @ X0)))
% 82.40/12.41           = (greatest_lower_bound @ (multiply @ a @ X1) @ 
% 82.40/12.41              (multiply @ b @ (least_upper_bound @ X1 @ X0))))),
% 82.40/12.41      inference('s_sup+', [status(thm)],
% 82.40/12.41                [zip_derived_cl1170, zip_derived_cl392])).
% 82.40/12.41  thf(monotony_glb1, axiom,
% 82.40/12.41    (( multiply @ X @ ( greatest_lower_bound @ Y @ Z ) ) =
% 82.40/12.41     ( greatest_lower_bound @ ( multiply @ X @ Y ) @ ( multiply @ X @ Z ) ))).
% 82.40/12.41  thf(zip_derived_cl12, plain,
% 82.40/12.41      (![X0 : $i, X1 : $i, X2 : $i]:
% 82.40/12.41         ((multiply @ X0 @ (greatest_lower_bound @ X1 @ X2))
% 82.40/12.41           = (greatest_lower_bound @ (multiply @ X0 @ X1) @ 
% 82.40/12.41              (multiply @ X0 @ X2)))),
% 82.40/12.41      inference('cnf', [status(esa)], [monotony_glb1])).
% 82.40/12.41  thf(zip_derived_cl10, plain,
% 82.40/12.41      (![X0 : $i, X1 : $i]:
% 82.40/12.41         ((greatest_lower_bound @ X0 @ (least_upper_bound @ X0 @ X1)) = (X0))),
% 82.40/12.41      inference('cnf', [status(esa)], [glb_absorbtion])).
% 82.40/12.41  thf(zip_derived_cl31284, plain,
% 82.40/12.41      (![X0 : $i, X1 : $i]:
% 82.40/12.41         ((multiply @ a @ X1)
% 82.40/12.41           = (greatest_lower_bound @ (multiply @ a @ X1) @ 
% 82.40/12.41              (multiply @ b @ (least_upper_bound @ X1 @ X0))))),
% 82.40/12.41      inference('demod', [status(thm)],
% 82.40/12.41                [zip_derived_cl31136, zip_derived_cl12, zip_derived_cl10])).
% 82.40/12.41  thf(zip_derived_cl31555, plain,
% 82.40/12.41      (((multiply @ a @ c)
% 82.40/12.41         = (greatest_lower_bound @ (multiply @ a @ c) @ (multiply @ b @ d)))),
% 82.40/12.41      inference('s_sup+', [status(thm)],
% 82.40/12.41                [zip_derived_cl247, zip_derived_cl31284])).
% 82.40/12.41  thf(prove_p03b, conjecture,
% 82.40/12.41    (( greatest_lower_bound @ ( multiply @ a @ c ) @ ( multiply @ b @ d ) ) =
% 82.40/12.41     ( multiply @ a @ c ))).
% 82.40/12.41  thf(zf_stmt_0, negated_conjecture,
% 82.40/12.41    (( greatest_lower_bound @ ( multiply @ a @ c ) @ ( multiply @ b @ d ) ) !=
% 82.40/12.41     ( multiply @ a @ c )),
% 82.40/12.41    inference('cnf.neg', [status(esa)], [prove_p03b])).
% 82.40/12.41  thf(zip_derived_cl17, plain,
% 82.40/12.41      (((greatest_lower_bound @ (multiply @ a @ c) @ (multiply @ b @ d))
% 82.40/12.41         != (multiply @ a @ c))),
% 82.40/12.41      inference('cnf', [status(esa)], [zf_stmt_0])).
% 82.40/12.41  thf(zip_derived_cl31568, plain, ($false),
% 82.40/12.41      inference('simplify_reflect-', [status(thm)],
% 82.40/12.41                [zip_derived_cl31555, zip_derived_cl17])).
% 82.40/12.41  
% 82.40/12.41  % SZS output end Refutation
% 82.40/12.41  
% 82.40/12.41  
% 82.40/12.41  % Terminating...
% 83.01/12.48  % Runner terminated.
% 83.01/12.50  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------