TSTP Solution File: SYN077-1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SYN077-1 : 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.ETnQXxJHdU true

% Computer : n002.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 : Fri Sep  1 04:01:36 EDT 2023

% Result   : Unsatisfiable 1.35s 0.81s
% Output   : Refutation 1.35s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : SYN077-1 : TPTP v8.1.2. Released v1.0.0.
% 0.07/0.14  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.ETnQXxJHdU true
% 0.15/0.35  % Computer : n002.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 : Sat Aug 26 19:43:18 EDT 2023
% 0.15/0.36  % CPUTime  : 
% 0.15/0.36  % Running portfolio for 300 s
% 0.15/0.36  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/0.36  % Number of cores: 8
% 0.15/0.36  % Python version: Python 3.6.8
% 0.15/0.36  % Running in FO mode
% 0.23/0.66  % Total configuration time : 435
% 0.23/0.66  % Estimated wc time : 1092
% 0.23/0.66  % Estimated cpu time (7 cpus) : 156.0
% 1.01/0.71  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 1.01/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 1.01/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 1.01/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 1.01/0.77  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 1.01/0.77  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 1.01/0.78  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 1.35/0.81  % Solved by fo/fo5.sh.
% 1.35/0.81  % done 39 iterations in 0.024s
% 1.35/0.81  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.35/0.81  % SZS output start Refutation
% 1.35/0.81  thf(f_type, type, f: $i > $i).
% 1.35/0.81  thf(g_type, type, g: $i > $i > $i).
% 1.35/0.81  thf(a_type, type, a: $i).
% 1.35/0.81  thf(big_f_type, type, big_f: $i > $i > $o).
% 1.35/0.81  thf(i_type, type, i: $i > $i > $i).
% 1.35/0.81  thf(h_type, type, h: $i > $i).
% 1.35/0.81  thf(clause_2, axiom, (( ( X ) != ( Y ) ) | ( big_f @ X @ ( f @ Y ) ))).
% 1.35/0.81  thf(zip_derived_cl1, plain,
% 1.35/0.81      (![X0 : $i, X1 : $i]: (((X1) != (X0)) |  (big_f @ X1 @ (f @ X0)))),
% 1.35/0.81      inference('cnf', [status(esa)], [clause_2])).
% 1.35/0.81  thf(zip_derived_cl7, plain, (![X0 : $i]:  (big_f @ X0 @ (f @ X0))),
% 1.35/0.81      inference('eq_res', [status(thm)], [zip_derived_cl1])).
% 1.35/0.81  thf(zip_derived_cl7, plain, (![X0 : $i]:  (big_f @ X0 @ (f @ X0))),
% 1.35/0.81      inference('eq_res', [status(thm)], [zip_derived_cl1])).
% 1.35/0.81  thf(clause_5, conjecture,
% 1.35/0.81    (~( ( big_f @ X @ a ) | ( big_f @ X @ ( h @ X ) ) ))).
% 1.35/0.81  thf(zf_stmt_0, negated_conjecture,
% 1.35/0.81    (( big_f @ X @ a ) | ( big_f @ X @ ( h @ X ) )),
% 1.35/0.81    inference('cnf.neg', [status(esa)], [clause_5])).
% 1.35/0.81  thf(zip_derived_cl4, plain,
% 1.35/0.81      (![X0 : $i]: ( (big_f @ X0 @ a) |  (big_f @ X0 @ (h @ X0)))),
% 1.35/0.81      inference('cnf', [status(esa)], [zf_stmt_0])).
% 1.35/0.81  thf(clause_7, conjecture,
% 1.35/0.81    (~( ( ~( big_f @ Y @ ( h @ X ) ) ) | 
% 1.35/0.81        ( big_f @ ( i @ X @ Y ) @ ( h @ X ) ) | ( big_f @ X @ a ) ))).
% 1.35/0.81  thf(zf_stmt_1, negated_conjecture,
% 1.35/0.81    (( ~( big_f @ Y @ ( h @ X ) ) ) | ( big_f @ ( i @ X @ Y ) @ ( h @ X ) ) | 
% 1.35/0.81     ( big_f @ X @ a )),
% 1.35/0.81    inference('cnf.neg', [status(esa)], [clause_7])).
% 1.35/0.81  thf(zip_derived_cl6, plain,
% 1.35/0.81      (![X0 : $i, X1 : $i]:
% 1.35/0.81         (~ (big_f @ X0 @ (h @ X1))
% 1.35/0.81          |  (big_f @ (i @ X1 @ X0) @ (h @ X1))
% 1.35/0.81          |  (big_f @ X1 @ a))),
% 1.35/0.81      inference('cnf', [status(esa)], [zf_stmt_1])).
% 1.35/0.81  thf(zip_derived_cl18, plain,
% 1.35/0.81      (![X0 : $i]:
% 1.35/0.81         ( (big_f @ X0 @ a)
% 1.35/0.81          |  (big_f @ X0 @ a)
% 1.35/0.81          |  (big_f @ (i @ X0 @ X0) @ (h @ X0)))),
% 1.35/0.81      inference('sup-', [status(thm)], [zip_derived_cl4, zip_derived_cl6])).
% 1.35/0.81  thf(zip_derived_cl20, plain,
% 1.35/0.81      (![X0 : $i]: ( (big_f @ (i @ X0 @ X0) @ (h @ X0)) |  (big_f @ X0 @ a))),
% 1.35/0.81      inference('simplify', [status(thm)], [zip_derived_cl18])).
% 1.35/0.81  thf(zip_derived_cl4, plain,
% 1.35/0.81      (![X0 : $i]: ( (big_f @ X0 @ a) |  (big_f @ X0 @ (h @ X0)))),
% 1.35/0.81      inference('cnf', [status(esa)], [zf_stmt_0])).
% 1.35/0.81  thf(clause_6, conjecture,
% 1.35/0.81    (~( ( big_f @ Y @ a ) | ( big_f @ ( i @ Y @ X ) @ X ) | 
% 1.35/0.81        ( ~( big_f @ X @ ( h @ Y ) ) ) ))).
% 1.35/0.81  thf(zf_stmt_2, negated_conjecture,
% 1.35/0.81    (( big_f @ Y @ a ) | ( big_f @ ( i @ Y @ X ) @ X ) | 
% 1.35/0.81     ( ~( big_f @ X @ ( h @ Y ) ) )),
% 1.35/0.81    inference('cnf.neg', [status(esa)], [clause_6])).
% 1.35/0.81  thf(zip_derived_cl5, plain,
% 1.35/0.81      (![X0 : $i, X1 : $i]:
% 1.35/0.81         ( (big_f @ X0 @ a)
% 1.35/0.81          |  (big_f @ (i @ X0 @ X1) @ X1)
% 1.35/0.81          | ~ (big_f @ X1 @ (h @ X0)))),
% 1.35/0.81      inference('cnf', [status(esa)], [zf_stmt_2])).
% 1.35/0.81  thf(zip_derived_cl8, plain,
% 1.35/0.81      (![X0 : $i]:
% 1.35/0.81         ( (big_f @ X0 @ a) |  (big_f @ (i @ X0 @ X0) @ X0) |  (big_f @ X0 @ a))),
% 1.35/0.81      inference('sup-', [status(thm)], [zip_derived_cl4, zip_derived_cl5])).
% 1.35/0.81  thf(zip_derived_cl9, plain,
% 1.35/0.81      (![X0 : $i]: ( (big_f @ (i @ X0 @ X0) @ X0) |  (big_f @ X0 @ a))),
% 1.35/0.81      inference('simplify', [status(thm)], [zip_derived_cl8])).
% 1.35/0.81  thf(clause_3, conjecture,
% 1.35/0.81    (~( ( big_f @ ( g @ X @ Y ) @ Y ) | ( ~( big_f @ X @ Y ) ) | 
% 1.35/0.81        ( ~( big_f @ X @ a ) ) ))).
% 1.35/0.81  thf(zf_stmt_3, negated_conjecture,
% 1.35/0.81    (( big_f @ ( g @ X @ Y ) @ Y ) | ( ~( big_f @ X @ Y ) ) | 
% 1.35/0.81     ( ~( big_f @ X @ a ) )),
% 1.35/0.81    inference('cnf.neg', [status(esa)], [clause_3])).
% 1.35/0.81  thf(zip_derived_cl2, plain,
% 1.35/0.81      (![X0 : $i, X1 : $i]:
% 1.35/0.81         ( (big_f @ (g @ X0 @ X1) @ X1)
% 1.35/0.81          | ~ (big_f @ X0 @ X1)
% 1.35/0.81          | ~ (big_f @ X0 @ a))),
% 1.35/0.81      inference('cnf', [status(esa)], [zf_stmt_3])).
% 1.35/0.81  thf(zip_derived_cl12, plain,
% 1.35/0.81      (![X0 : $i]:
% 1.35/0.81         ( (big_f @ a @ a)
% 1.35/0.81          | ~ (big_f @ (i @ a @ a) @ X0)
% 1.35/0.81          |  (big_f @ (g @ (i @ a @ a) @ X0) @ X0))),
% 1.35/0.81      inference('sup-', [status(thm)], [zip_derived_cl9, zip_derived_cl2])).
% 1.35/0.81  thf(zip_derived_cl30, plain,
% 1.35/0.81      (( (big_f @ a @ a)
% 1.35/0.81        |  (big_f @ (g @ (i @ a @ a) @ (h @ a)) @ (h @ a))
% 1.35/0.81        |  (big_f @ a @ a))),
% 1.35/0.81      inference('sup-', [status(thm)], [zip_derived_cl20, zip_derived_cl12])).
% 1.35/0.81  thf(zip_derived_cl32, plain,
% 1.35/0.81      (( (big_f @ (g @ (i @ a @ a) @ (h @ a)) @ (h @ a)) |  (big_f @ a @ a))),
% 1.35/0.81      inference('simplify', [status(thm)], [zip_derived_cl30])).
% 1.35/0.81  thf(zip_derived_cl5, plain,
% 1.35/0.81      (![X0 : $i, X1 : $i]:
% 1.35/0.81         ( (big_f @ X0 @ a)
% 1.35/0.81          |  (big_f @ (i @ X0 @ X1) @ X1)
% 1.35/0.81          | ~ (big_f @ X1 @ (h @ X0)))),
% 1.35/0.81      inference('cnf', [status(esa)], [zf_stmt_2])).
% 1.35/0.81  thf(zip_derived_cl34, plain,
% 1.35/0.81      (( (big_f @ a @ a)
% 1.35/0.81        |  (big_f @ (i @ a @ (g @ (i @ a @ a) @ (h @ a))) @ 
% 1.35/0.81            (g @ (i @ a @ a) @ (h @ a)))
% 1.35/0.81        |  (big_f @ a @ a))),
% 1.35/0.81      inference('sup-', [status(thm)], [zip_derived_cl32, zip_derived_cl5])).
% 1.35/0.81  thf(zip_derived_cl36, plain,
% 1.35/0.81      (( (big_f @ (i @ a @ (g @ (i @ a @ a) @ (h @ a))) @ 
% 1.35/0.81          (g @ (i @ a @ a) @ (h @ a)))
% 1.35/0.81        |  (big_f @ a @ a))),
% 1.35/0.81      inference('simplify', [status(thm)], [zip_derived_cl34])).
% 1.35/0.81  thf(clause_4, conjecture,
% 1.35/0.81    (~( ( ~( big_f @ Z @ Y ) ) | ( ~( big_f @ Z @ ( g @ X @ Y ) ) ) | 
% 1.35/0.81        ( ~( big_f @ X @ Y ) ) | ( ~( big_f @ X @ a ) ) ))).
% 1.35/0.81  thf(zf_stmt_4, negated_conjecture,
% 1.35/0.81    (( ~( big_f @ Z @ Y ) ) | ( ~( big_f @ Z @ ( g @ X @ Y ) ) ) | 
% 1.35/0.81     ( ~( big_f @ X @ Y ) ) | ( ~( big_f @ X @ a ) )),
% 1.35/0.81    inference('cnf.neg', [status(esa)], [clause_4])).
% 1.35/0.81  thf(zip_derived_cl3, plain,
% 1.35/0.81      (![X0 : $i, X1 : $i, X2 : $i]:
% 1.35/0.81         (~ (big_f @ X0 @ X1)
% 1.35/0.81          | ~ (big_f @ X0 @ (g @ X2 @ X1))
% 1.35/0.81          | ~ (big_f @ X2 @ X1)
% 1.35/0.81          | ~ (big_f @ X2 @ a))),
% 1.35/0.81      inference('cnf', [status(esa)], [zf_stmt_4])).
% 1.35/0.81  thf(zip_derived_cl96, plain,
% 1.35/0.81      (( (big_f @ a @ a)
% 1.35/0.81        | ~ (big_f @ (i @ a @ a) @ a)
% 1.35/0.81        | ~ (big_f @ (i @ a @ a) @ (h @ a))
% 1.35/0.81        | ~ (big_f @ (i @ a @ (g @ (i @ a @ a) @ (h @ a))) @ (h @ a)))),
% 1.35/0.81      inference('sup-', [status(thm)], [zip_derived_cl36, zip_derived_cl3])).
% 1.35/0.81  thf(zip_derived_cl9, plain,
% 1.35/0.81      (![X0 : $i]: ( (big_f @ (i @ X0 @ X0) @ X0) |  (big_f @ X0 @ a))),
% 1.35/0.81      inference('simplify', [status(thm)], [zip_derived_cl8])).
% 1.35/0.81  thf(zip_derived_cl97, plain,
% 1.35/0.81      ((~ (big_f @ (i @ a @ (g @ (i @ a @ a) @ (h @ a))) @ (h @ a))
% 1.35/0.81        | ~ (big_f @ (i @ a @ a) @ (h @ a))
% 1.35/0.81        |  (big_f @ a @ a))),
% 1.35/0.81      inference('clc', [status(thm)], [zip_derived_cl96, zip_derived_cl9])).
% 1.35/0.81  thf(zip_derived_cl32, plain,
% 1.35/0.81      (( (big_f @ (g @ (i @ a @ a) @ (h @ a)) @ (h @ a)) |  (big_f @ a @ a))),
% 1.35/0.81      inference('simplify', [status(thm)], [zip_derived_cl30])).
% 1.35/0.81  thf(zip_derived_cl6, plain,
% 1.35/0.81      (![X0 : $i, X1 : $i]:
% 1.35/0.81         (~ (big_f @ X0 @ (h @ X1))
% 1.35/0.81          |  (big_f @ (i @ X1 @ X0) @ (h @ X1))
% 1.35/0.81          |  (big_f @ X1 @ a))),
% 1.35/0.81      inference('cnf', [status(esa)], [zf_stmt_1])).
% 1.35/0.81  thf(zip_derived_cl35, plain,
% 1.35/0.81      (( (big_f @ a @ a)
% 1.35/0.81        |  (big_f @ a @ a)
% 1.35/0.81        |  (big_f @ (i @ a @ (g @ (i @ a @ a) @ (h @ a))) @ (h @ a)))),
% 1.35/0.81      inference('sup-', [status(thm)], [zip_derived_cl32, zip_derived_cl6])).
% 1.35/0.81  thf(zip_derived_cl37, plain,
% 1.35/0.81      (( (big_f @ (i @ a @ (g @ (i @ a @ a) @ (h @ a))) @ (h @ a))
% 1.35/0.81        |  (big_f @ a @ a))),
% 1.35/0.81      inference('simplify', [status(thm)], [zip_derived_cl35])).
% 1.35/0.81  thf(zip_derived_cl98, plain,
% 1.35/0.81      (( (big_f @ a @ a) | ~ (big_f @ (i @ a @ a) @ (h @ a)))),
% 1.35/0.81      inference('clc', [status(thm)], [zip_derived_cl97, zip_derived_cl37])).
% 1.35/0.81  thf(zip_derived_cl20, plain,
% 1.35/0.81      (![X0 : $i]: ( (big_f @ (i @ X0 @ X0) @ (h @ X0)) |  (big_f @ X0 @ a))),
% 1.35/0.81      inference('simplify', [status(thm)], [zip_derived_cl18])).
% 1.35/0.81  thf(zip_derived_cl99, plain, ( (big_f @ a @ a)),
% 1.35/0.81      inference('clc', [status(thm)], [zip_derived_cl98, zip_derived_cl20])).
% 1.35/0.81  thf(zip_derived_cl2, plain,
% 1.35/0.81      (![X0 : $i, X1 : $i]:
% 1.35/0.81         ( (big_f @ (g @ X0 @ X1) @ X1)
% 1.35/0.81          | ~ (big_f @ X0 @ X1)
% 1.35/0.81          | ~ (big_f @ X0 @ a))),
% 1.35/0.81      inference('cnf', [status(esa)], [zf_stmt_3])).
% 1.35/0.81  thf(zip_derived_cl100, plain,
% 1.35/0.81      (![X0 : $i]: (~ (big_f @ a @ X0) |  (big_f @ (g @ a @ X0) @ X0))),
% 1.35/0.81      inference('sup-', [status(thm)], [zip_derived_cl99, zip_derived_cl2])).
% 1.35/0.81  thf(zip_derived_cl101, plain, ( (big_f @ (g @ a @ (f @ a)) @ (f @ a))),
% 1.35/0.81      inference('sup-', [status(thm)], [zip_derived_cl7, zip_derived_cl100])).
% 1.35/0.81  thf(clause_1, axiom, (( ~( big_f @ X @ ( f @ Y ) ) ) | ( ( X ) = ( Y ) ))).
% 1.35/0.81  thf(zip_derived_cl0, plain,
% 1.35/0.81      (![X0 : $i, X1 : $i]: (~ (big_f @ X0 @ (f @ X1)) | ((X0) = (X1)))),
% 1.35/0.81      inference('cnf', [status(esa)], [clause_1])).
% 1.35/0.81  thf(zip_derived_cl107, plain, (((g @ a @ (f @ a)) = (a))),
% 1.35/0.81      inference('sup-', [status(thm)], [zip_derived_cl101, zip_derived_cl0])).
% 1.35/0.81  thf(zip_derived_cl3, plain,
% 1.35/0.81      (![X0 : $i, X1 : $i, X2 : $i]:
% 1.35/0.81         (~ (big_f @ X0 @ X1)
% 1.35/0.81          | ~ (big_f @ X0 @ (g @ X2 @ X1))
% 1.35/0.81          | ~ (big_f @ X2 @ X1)
% 1.35/0.81          | ~ (big_f @ X2 @ a))),
% 1.35/0.81      inference('cnf', [status(esa)], [zf_stmt_4])).
% 1.35/0.81  thf(zip_derived_cl109, plain,
% 1.35/0.81      (![X0 : $i]:
% 1.35/0.81         (~ (big_f @ X0 @ a)
% 1.35/0.81          | ~ (big_f @ a @ a)
% 1.35/0.81          | ~ (big_f @ a @ (f @ a))
% 1.35/0.81          | ~ (big_f @ X0 @ (f @ a)))),
% 1.35/0.81      inference('sup-', [status(thm)], [zip_derived_cl107, zip_derived_cl3])).
% 1.35/0.81  thf(zip_derived_cl99, plain, ( (big_f @ a @ a)),
% 1.35/0.81      inference('clc', [status(thm)], [zip_derived_cl98, zip_derived_cl20])).
% 1.35/0.81  thf(zip_derived_cl7, plain, (![X0 : $i]:  (big_f @ X0 @ (f @ X0))),
% 1.35/0.81      inference('eq_res', [status(thm)], [zip_derived_cl1])).
% 1.35/0.81  thf(zip_derived_cl112, plain,
% 1.35/0.81      (![X0 : $i]: (~ (big_f @ X0 @ a) | ~ (big_f @ X0 @ (f @ a)))),
% 1.35/0.81      inference('demod', [status(thm)],
% 1.35/0.81                [zip_derived_cl109, zip_derived_cl99, zip_derived_cl7])).
% 1.35/0.81  thf(zip_derived_cl115, plain, (~ (big_f @ a @ a)),
% 1.35/0.81      inference('sup-', [status(thm)], [zip_derived_cl7, zip_derived_cl112])).
% 1.35/0.81  thf(zip_derived_cl99, plain, ( (big_f @ a @ a)),
% 1.35/0.81      inference('clc', [status(thm)], [zip_derived_cl98, zip_derived_cl20])).
% 1.35/0.81  thf(zip_derived_cl118, plain, ($false),
% 1.35/0.81      inference('demod', [status(thm)], [zip_derived_cl115, zip_derived_cl99])).
% 1.35/0.81  
% 1.35/0.81  % SZS output end Refutation
% 1.35/0.81  
% 1.35/0.81  
% 1.35/0.81  % Terminating...
% 1.35/0.87  % Runner terminated.
% 1.67/0.88  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------