TSTP Solution File: GRP696-1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : GRP696-1 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.hynMBQAzz0 true

% Computer : n028.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 01:52:58 EDT 2023

% Result   : Unsatisfiable 29.65s 4.89s
% Output   : Refutation 29.65s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.13  % Problem  : GRP696-1 : TPTP v8.1.2. Released v4.0.0.
% 0.10/0.14  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.hynMBQAzz0 true
% 0.15/0.35  % Computer : n028.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 : Mon Aug 28 22:02:40 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
% 0.22/0.67  % Total configuration time : 435
% 0.22/0.67  % Estimated wc time : 1092
% 0.22/0.67  % Estimated cpu time (7 cpus) : 156.0
% 0.56/0.71  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.56/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.56/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.56/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.56/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.58/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.58/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 29.65/4.89  % Solved by fo/fo6_bce.sh.
% 29.65/4.89  % BCE start: 12
% 29.65/4.89  % BCE eliminated: 0
% 29.65/4.89  % PE start: 12
% 29.65/4.89  logic: eq
% 29.65/4.89  % PE eliminated: 0
% 29.65/4.89  % done 415 iterations in 4.156s
% 29.65/4.89  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 29.65/4.89  % SZS output start Refutation
% 29.65/4.89  thf(c_type, type, c: $i).
% 29.65/4.89  thf(a_type, type, a: $i).
% 29.65/4.89  thf(ld_type, type, ld: $i > $i > $i).
% 29.65/4.89  thf(rd_type, type, rd: $i > $i > $i).
% 29.65/4.89  thf(b_type, type, b: $i).
% 29.65/4.89  thf(mult_type, type, mult: $i > $i > $i).
% 29.65/4.89  thf(i_type, type, i: $i > $i).
% 29.65/4.89  thf(unit_type, type, unit: $i).
% 29.65/4.89  thf(goals, conjecture,
% 29.65/4.89    (( mult @ ( mult @ ( mult @ a @ b ) @ a ) @ ( mult @ a @ c ) ) =
% 29.65/4.89     ( mult @ a @ ( mult @ ( mult @ ( mult @ b @ a ) @ a ) @ c ) ))).
% 29.65/4.89  thf(zf_stmt_0, negated_conjecture,
% 29.65/4.89    (( mult @ ( mult @ ( mult @ a @ b ) @ a ) @ ( mult @ a @ c ) ) !=
% 29.65/4.89     ( mult @ a @ ( mult @ ( mult @ ( mult @ b @ a ) @ a ) @ c ) )),
% 29.65/4.89    inference('cnf.neg', [status(esa)], [goals])).
% 29.65/4.89  thf(zip_derived_cl11, plain,
% 29.65/4.89      (((mult @ (mult @ (mult @ a @ b) @ a) @ (mult @ a @ c))
% 29.65/4.89         != (mult @ a @ (mult @ (mult @ (mult @ b @ a) @ a) @ c)))),
% 29.65/4.89      inference('cnf', [status(esa)], [zf_stmt_0])).
% 29.65/4.89  thf(c02, axiom, (( ld @ A @ ( mult @ A @ B ) ) = ( B ))).
% 29.65/4.89  thf(zip_derived_cl1, plain,
% 29.65/4.89      (![X0 : $i, X1 : $i]: ((ld @ X1 @ (mult @ X1 @ X0)) = (X0))),
% 29.65/4.89      inference('cnf', [status(esa)], [c02])).
% 29.65/4.89  thf(c11, axiom, (( mult @ A @ ( i @ A ) ) = ( unit ))).
% 29.65/4.89  thf(zip_derived_cl10, plain, (![X0 : $i]: ((mult @ X0 @ (i @ X0)) = (unit))),
% 29.65/4.89      inference('cnf', [status(esa)], [c11])).
% 29.65/4.89  thf(c09, axiom,
% 29.65/4.89    (( mult @ ( mult @ A @ B ) @ C ) =
% 29.65/4.89     ( mult @ ( mult @ A @ C ) @ ( ld @ C @ ( mult @ B @ C ) ) ))).
% 29.65/4.89  thf(zip_derived_cl8, plain,
% 29.65/4.89      (![X0 : $i, X1 : $i, X2 : $i]:
% 29.65/4.89         ((mult @ (mult @ X0 @ X2) @ X1)
% 29.65/4.89           = (mult @ (mult @ X0 @ X1) @ (ld @ X1 @ (mult @ X2 @ X1))))),
% 29.65/4.89      inference('cnf', [status(esa)], [c09])).
% 29.65/4.89  thf(c07, axiom, (( mult @ A @ ( i @ ( mult @ B @ A ) ) ) = ( i @ B ))).
% 29.65/4.89  thf(zip_derived_cl6, plain,
% 29.65/4.89      (![X0 : $i, X1 : $i]: ((mult @ X1 @ (i @ (mult @ X0 @ X1))) = (i @ X0))),
% 29.65/4.89      inference('cnf', [status(esa)], [c07])).
% 29.65/4.89  thf(zip_derived_cl6, plain,
% 29.65/4.89      (![X0 : $i, X1 : $i]: ((mult @ X1 @ (i @ (mult @ X0 @ X1))) = (i @ X0))),
% 29.65/4.89      inference('cnf', [status(esa)], [c07])).
% 29.65/4.89  thf(zip_derived_cl37, plain,
% 29.65/4.89      (![X0 : $i, X1 : $i]:
% 29.65/4.89         ((mult @ (i @ (mult @ X0 @ X1)) @ (i @ (i @ X0))) = (i @ X1))),
% 29.65/4.89      inference('s_sup+', [status(thm)], [zip_derived_cl6, zip_derived_cl6])).
% 29.65/4.89  thf(c10, axiom, (( mult @ ( i @ A ) @ A ) = ( unit ))).
% 29.65/4.89  thf(zip_derived_cl9, plain, (![X0 : $i]: ((mult @ (i @ X0) @ X0) = (unit))),
% 29.65/4.89      inference('cnf', [status(esa)], [c10])).
% 29.65/4.89  thf(zip_derived_cl6, plain,
% 29.65/4.89      (![X0 : $i, X1 : $i]: ((mult @ X1 @ (i @ (mult @ X0 @ X1))) = (i @ X0))),
% 29.65/4.89      inference('cnf', [status(esa)], [c07])).
% 29.65/4.89  thf(zip_derived_cl45, plain,
% 29.65/4.89      (![X0 : $i]: ((mult @ X0 @ (i @ unit)) = (i @ (i @ X0)))),
% 29.65/4.89      inference('s_sup+', [status(thm)], [zip_derived_cl9, zip_derived_cl6])).
% 29.65/4.89  thf(zip_derived_cl9, plain, (![X0 : $i]: ((mult @ (i @ X0) @ X0) = (unit))),
% 29.65/4.89      inference('cnf', [status(esa)], [c10])).
% 29.65/4.89  thf(c05, axiom, (( mult @ A @ unit ) = ( A ))).
% 29.65/4.89  thf(zip_derived_cl4, plain, (![X0 : $i]: ((mult @ X0 @ unit) = (X0))),
% 29.65/4.89      inference('cnf', [status(esa)], [c05])).
% 29.65/4.89  thf(zip_derived_cl14, plain, (((unit) = (i @ unit))),
% 29.65/4.89      inference('s_sup+', [status(thm)], [zip_derived_cl9, zip_derived_cl4])).
% 29.65/4.89  thf(zip_derived_cl4, plain, (![X0 : $i]: ((mult @ X0 @ unit) = (X0))),
% 29.65/4.89      inference('cnf', [status(esa)], [c05])).
% 29.65/4.89  thf(zip_derived_cl48, plain, (![X0 : $i]: ((X0) = (i @ (i @ X0)))),
% 29.65/4.89      inference('demod', [status(thm)],
% 29.65/4.89                [zip_derived_cl45, zip_derived_cl14, zip_derived_cl4])).
% 29.65/4.89  thf(zip_derived_cl209, plain,
% 29.65/4.89      (![X0 : $i, X1 : $i]: ((mult @ (i @ (mult @ X0 @ X1)) @ X0) = (i @ X1))),
% 29.65/4.89      inference('demod', [status(thm)], [zip_derived_cl37, zip_derived_cl48])).
% 29.65/4.89  thf(zip_derived_cl225, plain,
% 29.65/4.89      (![X0 : $i, X1 : $i, X2 : $i]:
% 29.65/4.89         ((mult @ (i @ (mult @ (mult @ X2 @ X1) @ X0)) @ (mult @ X2 @ X0))
% 29.65/4.89           = (i @ (ld @ X0 @ (mult @ X1 @ X0))))),
% 29.65/4.89      inference('s_sup+', [status(thm)], [zip_derived_cl8, zip_derived_cl209])).
% 29.65/4.89  thf(c01, axiom, (( mult @ A @ ( ld @ A @ B ) ) = ( B ))).
% 29.65/4.89  thf(zip_derived_cl0, plain,
% 29.65/4.89      (![X0 : $i, X1 : $i]: ((mult @ X1 @ (ld @ X1 @ X0)) = (X0))),
% 29.65/4.89      inference('cnf', [status(esa)], [c01])).
% 29.65/4.89  thf(zip_derived_cl209, plain,
% 29.65/4.89      (![X0 : $i, X1 : $i]: ((mult @ (i @ (mult @ X0 @ X1)) @ X0) = (i @ X1))),
% 29.65/4.89      inference('demod', [status(thm)], [zip_derived_cl37, zip_derived_cl48])).
% 29.65/4.89  thf(zip_derived_cl221, plain,
% 29.65/4.89      (![X0 : $i, X1 : $i]: ((mult @ (i @ X0) @ X1) = (i @ (ld @ X1 @ X0)))),
% 29.65/4.89      inference('s_sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl209])).
% 29.65/4.89  thf(zip_derived_cl16183, plain,
% 29.65/4.89      (![X0 : $i, X1 : $i, X2 : $i]:
% 29.65/4.89         ((mult @ (i @ (mult @ (mult @ X2 @ X1) @ X0)) @ (mult @ X2 @ X0))
% 29.65/4.89           = (mult @ (i @ (mult @ X1 @ X0)) @ X0))),
% 29.65/4.89      inference('demod', [status(thm)], [zip_derived_cl225, zip_derived_cl221])).
% 29.65/4.89  thf(zip_derived_cl16419, plain,
% 29.65/4.89      (![X0 : $i, X1 : $i]:
% 29.65/4.89         ((mult @ (i @ (mult @ unit @ X0)) @ (mult @ X1 @ X0))
% 29.65/4.89           = (mult @ (i @ (mult @ (i @ X1) @ X0)) @ X0))),
% 29.65/4.89      inference('s_sup+', [status(thm)],
% 29.65/4.89                [zip_derived_cl10, zip_derived_cl16183])).
% 29.65/4.89  thf(c06, axiom, (( mult @ unit @ A ) = ( A ))).
% 29.65/4.89  thf(zip_derived_cl5, plain, (![X0 : $i]: ((mult @ unit @ X0) = (X0))),
% 29.65/4.89      inference('cnf', [status(esa)], [c06])).
% 29.65/4.89  thf(zip_derived_cl48, plain, (![X0 : $i]: ((X0) = (i @ (i @ X0)))),
% 29.65/4.89      inference('demod', [status(thm)],
% 29.65/4.89                [zip_derived_cl45, zip_derived_cl14, zip_derived_cl4])).
% 29.65/4.89  thf(zip_derived_cl6, plain,
% 29.65/4.89      (![X0 : $i, X1 : $i]: ((mult @ X1 @ (i @ (mult @ X0 @ X1))) = (i @ X0))),
% 29.65/4.89      inference('cnf', [status(esa)], [c07])).
% 29.65/4.89  thf(zip_derived_cl1, plain,
% 29.65/4.89      (![X0 : $i, X1 : $i]: ((ld @ X1 @ (mult @ X1 @ X0)) = (X0))),
% 29.65/4.89      inference('cnf', [status(esa)], [c02])).
% 29.65/4.89  thf(zip_derived_cl35, plain,
% 29.65/4.89      (![X0 : $i, X1 : $i]: ((ld @ X1 @ (i @ X0)) = (i @ (mult @ X0 @ X1)))),
% 29.65/4.89      inference('s_sup+', [status(thm)], [zip_derived_cl6, zip_derived_cl1])).
% 29.65/4.89  thf(zip_derived_cl156, plain,
% 29.65/4.89      (![X0 : $i, X1 : $i]: ((ld @ X1 @ X0) = (i @ (mult @ (i @ X0) @ X1)))),
% 29.65/4.89      inference('s_sup+', [status(thm)], [zip_derived_cl48, zip_derived_cl35])).
% 29.65/4.89  thf(zip_derived_cl16546, plain,
% 29.65/4.89      (![X0 : $i, X1 : $i]:
% 29.65/4.89         ((mult @ (i @ X0) @ (mult @ X1 @ X0)) = (mult @ (ld @ X0 @ X1) @ X0))),
% 29.65/4.89      inference('demod', [status(thm)],
% 29.65/4.89                [zip_derived_cl16419, zip_derived_cl5, zip_derived_cl156])).
% 29.65/4.89  thf(zip_derived_cl23097, plain,
% 29.65/4.89      (![X0 : $i, X1 : $i]:
% 29.65/4.89         ((mult @ (i @ X1) @ (mult @ (mult @ X1 @ X0) @ X1)) = (mult @ X0 @ X1))),
% 29.65/4.89      inference('s_sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl16546])).
% 29.65/4.89  thf(c04, axiom, (( rd @ ( mult @ A @ B ) @ B ) = ( A ))).
% 29.65/4.89  thf(zip_derived_cl3, plain,
% 29.65/4.89      (![X0 : $i, X1 : $i]: ((rd @ (mult @ X0 @ X1) @ X1) = (X0))),
% 29.65/4.89      inference('cnf', [status(esa)], [c04])).
% 29.65/4.89  thf(zip_derived_cl0, plain,
% 29.65/4.89      (![X0 : $i, X1 : $i]: ((mult @ X1 @ (ld @ X1 @ X0)) = (X0))),
% 29.65/4.89      inference('cnf', [status(esa)], [c01])).
% 29.65/4.89  thf(c08, axiom,
% 29.65/4.89    (( mult @ A @ ( mult @ B @ C ) ) =
% 29.65/4.89     ( mult @ ( rd @ ( mult @ A @ B ) @ A ) @ ( mult @ A @ C ) ))).
% 29.65/4.89  thf(zip_derived_cl7, plain,
% 29.65/4.89      (![X0 : $i, X1 : $i, X2 : $i]:
% 29.65/4.89         ((mult @ X0 @ (mult @ X1 @ X2))
% 29.65/4.89           = (mult @ (rd @ (mult @ X0 @ X1) @ X0) @ (mult @ X0 @ X2)))),
% 29.65/4.89      inference('cnf', [status(esa)], [c08])).
% 29.65/4.89  thf(zip_derived_cl67, plain,
% 29.65/4.89      (![X0 : $i, X1 : $i, X2 : $i]:
% 29.65/4.89         ((mult @ X2 @ (mult @ (ld @ X2 @ X0) @ X1))
% 29.65/4.89           = (mult @ (rd @ X0 @ X2) @ (mult @ X2 @ X1)))),
% 29.65/4.89      inference('s_sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl7])).
% 29.65/4.89  thf(zip_derived_cl1760, plain,
% 29.65/4.89      (![X0 : $i, X1 : $i, X2 : $i]:
% 29.65/4.89         ((mult @ X2 @ (mult @ (ld @ X2 @ (mult @ X0 @ X2)) @ X1))
% 29.65/4.89           = (mult @ X0 @ (mult @ X2 @ X1)))),
% 29.65/4.89      inference('s_sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl67])).
% 29.65/4.89  thf(zip_derived_cl9, plain, (![X0 : $i]: ((mult @ (i @ X0) @ X0) = (unit))),
% 29.65/4.89      inference('cnf', [status(esa)], [c10])).
% 29.65/4.89  thf(zip_derived_cl8, plain,
% 29.65/4.89      (![X0 : $i, X1 : $i, X2 : $i]:
% 29.65/4.89         ((mult @ (mult @ X0 @ X2) @ X1)
% 29.65/4.89           = (mult @ (mult @ X0 @ X1) @ (ld @ X1 @ (mult @ X2 @ X1))))),
% 29.65/4.89      inference('cnf', [status(esa)], [c09])).
% 29.65/4.89  thf(zip_derived_cl1, plain,
% 29.65/4.89      (![X0 : $i, X1 : $i]: ((ld @ X1 @ (mult @ X1 @ X0)) = (X0))),
% 29.65/4.89      inference('cnf', [status(esa)], [c02])).
% 29.65/4.89  thf(zip_derived_cl81, plain,
% 29.65/4.89      (![X0 : $i, X1 : $i, X2 : $i]:
% 29.65/4.89         ((ld @ (mult @ X2 @ X0) @ (mult @ (mult @ X2 @ X1) @ X0))
% 29.65/4.89           = (ld @ X0 @ (mult @ X1 @ X0)))),
% 29.65/4.89      inference('s_sup+', [status(thm)], [zip_derived_cl8, zip_derived_cl1])).
% 29.65/4.89  thf(zip_derived_cl2853, plain,
% 29.65/4.89      (![X0 : $i, X1 : $i]:
% 29.65/4.89         ((ld @ unit @ (mult @ (mult @ (i @ X0) @ X1) @ X0))
% 29.65/4.89           = (ld @ X0 @ (mult @ X1 @ X0)))),
% 29.65/4.89      inference('s_sup+', [status(thm)], [zip_derived_cl9, zip_derived_cl81])).
% 29.65/4.89  thf(zip_derived_cl5, plain, (![X0 : $i]: ((mult @ unit @ X0) = (X0))),
% 29.65/4.89      inference('cnf', [status(esa)], [c06])).
% 29.65/4.89  thf(zip_derived_cl0, plain,
% 29.65/4.89      (![X0 : $i, X1 : $i]: ((mult @ X1 @ (ld @ X1 @ X0)) = (X0))),
% 29.65/4.89      inference('cnf', [status(esa)], [c01])).
% 29.65/4.89  thf(zip_derived_cl12, plain, (![X0 : $i]: ((ld @ unit @ X0) = (X0))),
% 29.65/4.89      inference('s_sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl0])).
% 29.65/4.89  thf(zip_derived_cl2891, plain,
% 29.65/4.89      (![X0 : $i, X1 : $i]:
% 29.65/4.89         ((mult @ (mult @ (i @ X0) @ X1) @ X0) = (ld @ X0 @ (mult @ X1 @ X0)))),
% 29.65/4.89      inference('demod', [status(thm)], [zip_derived_cl2853, zip_derived_cl12])).
% 29.65/4.89  thf(zip_derived_cl20455, plain,
% 29.65/4.89      (![X0 : $i, X1 : $i, X2 : $i]:
% 29.65/4.89         ((mult @ X2 @ (mult @ (mult @ (mult @ (i @ X2) @ X0) @ X2) @ X1))
% 29.65/4.89           = (mult @ X0 @ (mult @ X2 @ X1)))),
% 29.65/4.89      inference('demod', [status(thm)],
% 29.65/4.89                [zip_derived_cl1760, zip_derived_cl2891])).
% 29.65/4.89  thf(zip_derived_cl23251, plain,
% 29.65/4.89      (![X0 : $i, X1 : $i, X2 : $i]:
% 29.65/4.89         ((mult @ X0 @ (mult @ (mult @ (mult @ X1 @ X0) @ X0) @ X2))
% 29.65/4.89           = (mult @ (mult @ (mult @ X0 @ X1) @ X0) @ (mult @ X0 @ X2)))),
% 29.65/4.89      inference('s_sup+', [status(thm)],
% 29.65/4.89                [zip_derived_cl23097, zip_derived_cl20455])).
% 29.65/4.89  thf(zip_derived_cl23435, plain,
% 29.65/4.89      (((mult @ a @ (mult @ (mult @ (mult @ b @ a) @ a) @ c))
% 29.65/4.89         != (mult @ a @ (mult @ (mult @ (mult @ b @ a) @ a) @ c)))),
% 29.65/4.89      inference('demod', [status(thm)], [zip_derived_cl11, zip_derived_cl23251])).
% 29.65/4.89  thf(zip_derived_cl23436, plain, ($false),
% 29.65/4.89      inference('simplify', [status(thm)], [zip_derived_cl23435])).
% 29.65/4.89  
% 29.65/4.89  % SZS output end Refutation
% 29.65/4.89  
% 29.65/4.89  
% 29.65/4.89  % Terminating...
% 30.55/4.98  % Runner terminated.
% 30.55/5.00  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------