TSTP Solution File: LCL163-1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : LCL163-1 : 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.RN44qV7oWP true

% Computer : n023.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 08:58:27 EDT 2023

% Result   : Unsatisfiable 5.03s 1.31s
% Output   : Refutation 5.03s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : LCL163-1 : TPTP v8.1.2. Released v1.0.0.
% 0.06/0.13  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.RN44qV7oWP true
% 0.14/0.34  % Computer : n023.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % WCLimit  : 300
% 0.14/0.34  % DateTime : Fri Aug 25 06:57:12 EDT 2023
% 0.14/0.35  % CPUTime  : 
% 0.14/0.35  % Running portfolio for 300 s
% 0.14/0.35  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.35  % Number of cores: 8
% 0.14/0.35  % Python version: Python 3.6.8
% 0.14/0.35  % Running in FO mode
% 0.56/0.63  % Total configuration time : 435
% 0.56/0.63  % Estimated wc time : 1092
% 0.56/0.63  % Estimated cpu time (7 cpus) : 156.0
% 0.56/0.70  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.56/0.72  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.56/0.73  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.56/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.56/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.56/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.56/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 5.03/1.31  % Solved by fo/fo4.sh.
% 5.03/1.31  % done 848 iterations in 0.538s
% 5.03/1.31  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 5.03/1.31  % SZS output start Refutation
% 5.03/1.31  thf(x_type, type, x: $i).
% 5.03/1.31  thf(xor_type, type, xor: $i > $i > $i).
% 5.03/1.31  thf(not_type, type, not: $i > $i).
% 5.03/1.31  thf(y_type, type, y: $i).
% 5.03/1.31  thf(truth_type, type, truth: $i).
% 5.03/1.31  thf(and_star_type, type, and_star: $i > $i > $i).
% 5.03/1.31  thf(implies_type, type, implies: $i > $i > $i).
% 5.03/1.31  thf(falsehood_type, type, falsehood: $i).
% 5.03/1.31  thf(prove_wajsberg_axiom, conjecture,
% 5.03/1.31    (( implies @ ( implies @ x @ y ) @ y ) =
% 5.03/1.31     ( implies @ ( implies @ y @ x ) @ x ))).
% 5.03/1.31  thf(zf_stmt_0, negated_conjecture,
% 5.03/1.31    (( implies @ ( implies @ x @ y ) @ y ) !=
% 5.03/1.31     ( implies @ ( implies @ y @ x ) @ x )),
% 5.03/1.31    inference('cnf.neg', [status(esa)], [prove_wajsberg_axiom])).
% 5.03/1.31  thf(zip_derived_cl13, plain,
% 5.03/1.31      (((implies @ (implies @ x @ y) @ y) != (implies @ (implies @ y @ x) @ x))),
% 5.03/1.31      inference('cnf', [status(esa)], [zf_stmt_0])).
% 5.03/1.31  thf(axiom_7, axiom,
% 5.03/1.31    (( xor @ X @ ( xor @ truth @ Y ) ) = ( xor @ ( xor @ X @ truth ) @ Y ))).
% 5.03/1.31  thf(zip_derived_cl6, plain,
% 5.03/1.31      (![X0 : $i, X1 : $i]:
% 5.03/1.31         ((xor @ X0 @ (xor @ truth @ X1)) = (xor @ (xor @ X0 @ truth) @ X1))),
% 5.03/1.31      inference('cnf', [status(esa)], [axiom_7])).
% 5.03/1.31  thf(xor_commutativity, axiom, (( xor @ X @ Y ) = ( xor @ Y @ X ))).
% 5.03/1.31  thf(zip_derived_cl8, plain,
% 5.03/1.31      (![X0 : $i, X1 : $i]: ((xor @ X1 @ X0) = (xor @ X0 @ X1))),
% 5.03/1.31      inference('cnf', [status(esa)], [xor_commutativity])).
% 5.03/1.31  thf(axiom_1, axiom, (( not @ X ) = ( xor @ X @ truth ))).
% 5.03/1.31  thf(zip_derived_cl0, plain, (![X0 : $i]: ((not @ X0) = (xor @ X0 @ truth))),
% 5.03/1.31      inference('cnf', [status(esa)], [axiom_1])).
% 5.03/1.31  thf(zip_derived_cl20, plain, (![X0 : $i]: ((not @ X0) = (xor @ truth @ X0))),
% 5.03/1.31      inference('sup+', [status(thm)], [zip_derived_cl8, zip_derived_cl0])).
% 5.03/1.31  thf(zip_derived_cl0, plain, (![X0 : $i]: ((not @ X0) = (xor @ X0 @ truth))),
% 5.03/1.31      inference('cnf', [status(esa)], [axiom_1])).
% 5.03/1.31  thf(zip_derived_cl59, plain,
% 5.03/1.31      (![X0 : $i, X1 : $i]: ((xor @ X0 @ (not @ X1)) = (xor @ (not @ X0) @ X1))),
% 5.03/1.31      inference('demod', [status(thm)],
% 5.03/1.31                [zip_derived_cl6, zip_derived_cl20, zip_derived_cl0])).
% 5.03/1.31  thf(zip_derived_cl0, plain, (![X0 : $i]: ((not @ X0) = (xor @ X0 @ truth))),
% 5.03/1.31      inference('cnf', [status(esa)], [axiom_1])).
% 5.03/1.31  thf(zip_derived_cl63, plain,
% 5.03/1.31      (![X0 : $i]: ((not @ (not @ X0)) = (xor @ X0 @ (not @ truth)))),
% 5.03/1.31      inference('sup+', [status(thm)], [zip_derived_cl59, zip_derived_cl0])).
% 5.03/1.31  thf(false_definition, axiom, (( not @ truth ) = ( falsehood ))).
% 5.03/1.31  thf(zip_derived_cl11, plain, (((not @ truth) = (falsehood))),
% 5.03/1.31      inference('cnf', [status(esa)], [false_definition])).
% 5.03/1.31  thf(axiom_2, axiom, (( xor @ X @ falsehood ) = ( X ))).
% 5.03/1.31  thf(zip_derived_cl1, plain, (![X0 : $i]: ((xor @ X0 @ falsehood) = (X0))),
% 5.03/1.31      inference('cnf', [status(esa)], [axiom_2])).
% 5.03/1.31  thf(zip_derived_cl69, plain, (![X0 : $i]: ((not @ (not @ X0)) = (X0))),
% 5.03/1.31      inference('demod', [status(thm)],
% 5.03/1.31                [zip_derived_cl63, zip_derived_cl11, zip_derived_cl1])).
% 5.03/1.31  thf(axiom_8, axiom,
% 5.03/1.31    (( and_star @ ( xor @ ( and_star @ ( xor @ truth @ X ) @ Y ) @ truth ) @ Y ) =
% 5.03/1.31     ( and_star @ ( xor @ ( and_star @ ( xor @ truth @ Y ) @ X ) @ truth ) @ X ))).
% 5.03/1.31  thf(zip_derived_cl7, plain,
% 5.03/1.31      (![X0 : $i, X1 : $i]:
% 5.03/1.31         ((and_star @ (xor @ (and_star @ (xor @ truth @ X1) @ X0) @ truth) @ X0)
% 5.03/1.31           = (and_star @ 
% 5.03/1.31              (xor @ (and_star @ (xor @ truth @ X0) @ X1) @ truth) @ X1))),
% 5.03/1.31      inference('cnf', [status(esa)], [axiom_8])).
% 5.03/1.31  thf(zip_derived_cl20, plain, (![X0 : $i]: ((not @ X0) = (xor @ truth @ X0))),
% 5.03/1.31      inference('sup+', [status(thm)], [zip_derived_cl8, zip_derived_cl0])).
% 5.03/1.31  thf(zip_derived_cl0, plain, (![X0 : $i]: ((not @ X0) = (xor @ X0 @ truth))),
% 5.03/1.31      inference('cnf', [status(esa)], [axiom_1])).
% 5.03/1.31  thf(and_star_commutativity, axiom,
% 5.03/1.31    (( and_star @ X @ Y ) = ( and_star @ Y @ X ))).
% 5.03/1.31  thf(zip_derived_cl10, plain,
% 5.03/1.31      (![X0 : $i, X1 : $i]: ((and_star @ X1 @ X0) = (and_star @ X0 @ X1))),
% 5.03/1.31      inference('cnf', [status(esa)], [and_star_commutativity])).
% 5.03/1.31  thf(zip_derived_cl20, plain, (![X0 : $i]: ((not @ X0) = (xor @ truth @ X0))),
% 5.03/1.31      inference('sup+', [status(thm)], [zip_derived_cl8, zip_derived_cl0])).
% 5.03/1.31  thf(zip_derived_cl0, plain, (![X0 : $i]: ((not @ X0) = (xor @ X0 @ truth))),
% 5.03/1.31      inference('cnf', [status(esa)], [axiom_1])).
% 5.03/1.31  thf(zip_derived_cl10, plain,
% 5.03/1.31      (![X0 : $i, X1 : $i]: ((and_star @ X1 @ X0) = (and_star @ X0 @ X1))),
% 5.03/1.31      inference('cnf', [status(esa)], [and_star_commutativity])).
% 5.03/1.31  thf(zip_derived_cl85, plain,
% 5.03/1.31      (![X0 : $i, X1 : $i]:
% 5.03/1.31         ((and_star @ X0 @ (not @ (and_star @ (not @ X1) @ X0)))
% 5.03/1.31           = (and_star @ X1 @ (not @ (and_star @ (not @ X0) @ X1))))),
% 5.03/1.31      inference('demod', [status(thm)],
% 5.03/1.31                [zip_derived_cl7, zip_derived_cl20, zip_derived_cl0, 
% 5.03/1.31                 zip_derived_cl10, zip_derived_cl20, zip_derived_cl0, 
% 5.03/1.31                 zip_derived_cl10])).
% 5.03/1.31  thf(zip_derived_cl162, plain,
% 5.03/1.31      (![X0 : $i, X1 : $i]:
% 5.03/1.31         ((and_star @ (not @ X0) @ (not @ (and_star @ (not @ X1) @ (not @ X0))))
% 5.03/1.31           = (and_star @ X1 @ (not @ (and_star @ X0 @ X1))))),
% 5.03/1.31      inference('sup+', [status(thm)], [zip_derived_cl69, zip_derived_cl85])).
% 5.03/1.31  thf(implies_definition, axiom,
% 5.03/1.31    (( implies @ X @ Y ) =
% 5.03/1.31     ( xor @ truth @ ( and_star @ X @ ( xor @ truth @ Y ) ) ))).
% 5.03/1.31  thf(zip_derived_cl12, plain,
% 5.03/1.31      (![X0 : $i, X1 : $i]:
% 5.03/1.31         ((implies @ X0 @ X1)
% 5.03/1.31           = (xor @ truth @ (and_star @ X0 @ (xor @ truth @ X1))))),
% 5.03/1.31      inference('cnf', [status(esa)], [implies_definition])).
% 5.03/1.31  thf(zip_derived_cl20, plain, (![X0 : $i]: ((not @ X0) = (xor @ truth @ X0))),
% 5.03/1.31      inference('sup+', [status(thm)], [zip_derived_cl8, zip_derived_cl0])).
% 5.03/1.31  thf(zip_derived_cl20, plain, (![X0 : $i]: ((not @ X0) = (xor @ truth @ X0))),
% 5.03/1.31      inference('sup+', [status(thm)], [zip_derived_cl8, zip_derived_cl0])).
% 5.03/1.31  thf(zip_derived_cl71, plain,
% 5.03/1.31      (![X0 : $i, X1 : $i]:
% 5.03/1.31         ((implies @ X0 @ X1) = (not @ (and_star @ X0 @ (not @ X1))))),
% 5.03/1.31      inference('demod', [status(thm)],
% 5.03/1.31                [zip_derived_cl12, zip_derived_cl20, zip_derived_cl20])).
% 5.03/1.31  thf(zip_derived_cl169, plain,
% 5.03/1.31      (![X0 : $i, X1 : $i]:
% 5.03/1.31         ((and_star @ (not @ X0) @ (implies @ (not @ X1) @ X0))
% 5.03/1.31           = (and_star @ X1 @ (not @ (and_star @ X0 @ X1))))),
% 5.03/1.31      inference('demod', [status(thm)], [zip_derived_cl162, zip_derived_cl71])).
% 5.03/1.31  thf(zip_derived_cl10, plain,
% 5.03/1.31      (![X0 : $i, X1 : $i]: ((and_star @ X1 @ X0) = (and_star @ X0 @ X1))),
% 5.03/1.31      inference('cnf', [status(esa)], [and_star_commutativity])).
% 5.03/1.31  thf(zip_derived_cl71, plain,
% 5.03/1.31      (![X0 : $i, X1 : $i]:
% 5.03/1.31         ((implies @ X0 @ X1) = (not @ (and_star @ X0 @ (not @ X1))))),
% 5.03/1.31      inference('demod', [status(thm)],
% 5.03/1.31                [zip_derived_cl12, zip_derived_cl20, zip_derived_cl20])).
% 5.03/1.31  thf(zip_derived_cl75, plain,
% 5.03/1.31      (![X0 : $i, X1 : $i]:
% 5.03/1.31         ((implies @ X0 @ X1) = (not @ (and_star @ (not @ X1) @ X0)))),
% 5.03/1.31      inference('sup+', [status(thm)], [zip_derived_cl10, zip_derived_cl71])).
% 5.03/1.31  thf(zip_derived_cl4154, plain,
% 5.03/1.31      (![X0 : $i, X1 : $i]:
% 5.03/1.31         ((implies @ (not @ (and_star @ X0 @ (not @ X1))) @ X1)
% 5.03/1.31           = (not @ 
% 5.03/1.31              (and_star @ (not @ X0) @ (implies @ (not @ (not @ X1)) @ X0))))),
% 5.03/1.31      inference('sup+', [status(thm)], [zip_derived_cl169, zip_derived_cl75])).
% 5.03/1.31  thf(zip_derived_cl71, plain,
% 5.03/1.31      (![X0 : $i, X1 : $i]:
% 5.03/1.31         ((implies @ X0 @ X1) = (not @ (and_star @ X0 @ (not @ X1))))),
% 5.03/1.31      inference('demod', [status(thm)],
% 5.03/1.31                [zip_derived_cl12, zip_derived_cl20, zip_derived_cl20])).
% 5.03/1.31  thf(zip_derived_cl69, plain, (![X0 : $i]: ((not @ (not @ X0)) = (X0))),
% 5.03/1.31      inference('demod', [status(thm)],
% 5.03/1.31                [zip_derived_cl63, zip_derived_cl11, zip_derived_cl1])).
% 5.03/1.31  thf(zip_derived_cl75, plain,
% 5.03/1.31      (![X0 : $i, X1 : $i]:
% 5.03/1.31         ((implies @ X0 @ X1) = (not @ (and_star @ (not @ X1) @ X0)))),
% 5.03/1.31      inference('sup+', [status(thm)], [zip_derived_cl10, zip_derived_cl71])).
% 5.03/1.31  thf(zip_derived_cl4309, plain,
% 5.03/1.31      (![X0 : $i, X1 : $i]:
% 5.03/1.31         ((implies @ (implies @ X0 @ X1) @ X1)
% 5.03/1.31           = (implies @ (implies @ X1 @ X0) @ X0))),
% 5.03/1.31      inference('demod', [status(thm)],
% 5.03/1.31                [zip_derived_cl4154, zip_derived_cl71, zip_derived_cl69, 
% 5.03/1.31                 zip_derived_cl75])).
% 5.03/1.31  thf(zip_derived_cl4677, plain,
% 5.03/1.31      (((implies @ (implies @ x @ y) @ y) != (implies @ (implies @ x @ y) @ y))),
% 5.03/1.31      inference('demod', [status(thm)], [zip_derived_cl13, zip_derived_cl4309])).
% 5.03/1.31  thf(zip_derived_cl4678, plain, ($false),
% 5.03/1.31      inference('simplify', [status(thm)], [zip_derived_cl4677])).
% 5.03/1.31  
% 5.03/1.31  % SZS output end Refutation
% 5.03/1.31  
% 5.03/1.31  
% 5.03/1.31  % Terminating...
% 5.03/1.35  % Runner terminated.
% 5.03/1.36  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------