TSTP Solution File: LCL135-1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : LCL135-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.88nVMDWeX7 true

% Computer : n026.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 08:58:21 EDT 2023

% Result   : Unsatisfiable 1.13s 0.79s
% Output   : Refutation 1.13s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : LCL135-1 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.14  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.88nVMDWeX7 true
% 0.14/0.36  % Computer : n026.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit : 300
% 0.14/0.36  % WCLimit  : 300
% 0.14/0.36  % DateTime : Thu Aug 24 19:16:47 EDT 2023
% 0.14/0.36  % CPUTime  : 
% 0.14/0.36  % Running portfolio for 300 s
% 0.14/0.36  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.36  % Number of cores: 8
% 0.14/0.36  % Python version: Python 3.6.8
% 0.14/0.36  % Running in FO mode
% 0.23/0.64  % Total configuration time : 435
% 0.23/0.64  % Estimated wc time : 1092
% 0.23/0.64  % Estimated cpu time (7 cpus) : 156.0
% 0.23/0.74  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.23/0.76  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.23/0.76  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.23/0.76  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.23/0.76  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.23/0.76  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 1.13/0.77  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 1.13/0.79  % Solved by fo/fo6_bce.sh.
% 1.13/0.79  % BCE start: 5
% 1.13/0.79  % BCE eliminated: 0
% 1.13/0.79  % PE start: 5
% 1.13/0.79  logic: eq
% 1.13/0.79  % PE eliminated: 0
% 1.13/0.79  % done 18 iterations in 0.028s
% 1.13/0.79  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.13/0.79  % SZS output start Refutation
% 1.13/0.79  thf(y_type, type, y: $i).
% 1.13/0.79  thf(truth_type, type, truth: $i).
% 1.13/0.79  thf(implies_type, type, implies: $i > $i > $i).
% 1.13/0.79  thf(x_type, type, x: $i).
% 1.13/0.79  thf(prove_wajsberg_lemma, conjecture,
% 1.13/0.79    (( implies @ x @ ( implies @ y @ x ) ) = ( truth ))).
% 1.13/0.79  thf(zf_stmt_0, negated_conjecture,
% 1.13/0.79    (( implies @ x @ ( implies @ y @ x ) ) != ( truth )),
% 1.13/0.79    inference('cnf.neg', [status(esa)], [prove_wajsberg_lemma])).
% 1.13/0.79  thf(zip_derived_cl4, plain, (((implies @ x @ (implies @ y @ x)) != (truth))),
% 1.13/0.79      inference('cnf', [status(esa)], [zf_stmt_0])).
% 1.13/0.79  thf(wajsberg_1, axiom, (( implies @ truth @ X ) = ( X ))).
% 1.13/0.79  thf(zip_derived_cl0, plain, (![X0 : $i]: ((implies @ truth @ X0) = (X0))),
% 1.13/0.79      inference('cnf', [status(esa)], [wajsberg_1])).
% 1.13/0.79  thf(wajsberg_3, axiom,
% 1.13/0.79    (( implies @ ( implies @ X @ Y ) @ Y ) =
% 1.13/0.79     ( implies @ ( implies @ Y @ X ) @ X ))).
% 1.13/0.79  thf(zip_derived_cl2, plain,
% 1.13/0.79      (![X0 : $i, X1 : $i]:
% 1.13/0.79         ((implies @ (implies @ X1 @ X0) @ X0)
% 1.13/0.79           = (implies @ (implies @ X0 @ X1) @ X1))),
% 1.13/0.79      inference('cnf', [status(esa)], [wajsberg_3])).
% 1.13/0.79  thf(zip_derived_cl38, plain,
% 1.13/0.79      (![X0 : $i]:
% 1.13/0.79         ((implies @ X0 @ X0) = (implies @ (implies @ X0 @ truth) @ truth))),
% 1.13/0.79      inference('s_sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl2])).
% 1.13/0.79  thf(zip_derived_cl0, plain, (![X0 : $i]: ((implies @ truth @ X0) = (X0))),
% 1.13/0.79      inference('cnf', [status(esa)], [wajsberg_1])).
% 1.13/0.79  thf(wajsberg_2, axiom,
% 1.13/0.79    (( implies @
% 1.13/0.79       ( implies @ X @ Y ) @ 
% 1.13/0.79       ( implies @ ( implies @ Y @ Z ) @ ( implies @ X @ Z ) ) ) =
% 1.13/0.79     ( truth ))).
% 1.13/0.79  thf(zip_derived_cl1, plain,
% 1.13/0.79      (![X0 : $i, X1 : $i, X2 : $i]:
% 1.13/0.79         ((implies @ (implies @ X0 @ X1) @ 
% 1.13/0.79           (implies @ (implies @ X1 @ X2) @ (implies @ X0 @ X2))) = (truth))),
% 1.13/0.79      inference('cnf', [status(esa)], [wajsberg_2])).
% 1.13/0.79  thf(zip_derived_cl17, plain,
% 1.13/0.79      (![X0 : $i, X1 : $i]:
% 1.13/0.79         ((implies @ (implies @ truth @ X1) @ 
% 1.13/0.79           (implies @ (implies @ X1 @ X0) @ X0)) = (truth))),
% 1.13/0.79      inference('s_sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl1])).
% 1.13/0.79  thf(zip_derived_cl0, plain, (![X0 : $i]: ((implies @ truth @ X0) = (X0))),
% 1.13/0.79      inference('cnf', [status(esa)], [wajsberg_1])).
% 1.13/0.79  thf(zip_derived_cl24, plain,
% 1.13/0.79      (![X0 : $i, X1 : $i]:
% 1.13/0.79         ((implies @ X1 @ (implies @ (implies @ X1 @ X0) @ X0)) = (truth))),
% 1.13/0.79      inference('demod', [status(thm)], [zip_derived_cl17, zip_derived_cl0])).
% 1.13/0.79  thf(zip_derived_cl97, plain,
% 1.13/0.79      (![X0 : $i]: ((implies @ X0 @ (implies @ X0 @ X0)) = (truth))),
% 1.13/0.79      inference('s_sup+', [status(thm)], [zip_derived_cl38, zip_derived_cl24])).
% 1.13/0.79  thf(zip_derived_cl24, plain,
% 1.13/0.79      (![X0 : $i, X1 : $i]:
% 1.13/0.79         ((implies @ X1 @ (implies @ (implies @ X1 @ X0) @ X0)) = (truth))),
% 1.13/0.79      inference('demod', [status(thm)], [zip_derived_cl17, zip_derived_cl0])).
% 1.13/0.79  thf(zip_derived_cl0, plain, (![X0 : $i]: ((implies @ truth @ X0) = (X0))),
% 1.13/0.79      inference('cnf', [status(esa)], [wajsberg_1])).
% 1.13/0.79  thf(zip_derived_cl94, plain,
% 1.13/0.79      (![X0 : $i]: ((truth) = (implies @ (implies @ truth @ X0) @ X0))),
% 1.13/0.79      inference('s_sup+', [status(thm)], [zip_derived_cl24, zip_derived_cl0])).
% 1.13/0.79  thf(zip_derived_cl0, plain, (![X0 : $i]: ((implies @ truth @ X0) = (X0))),
% 1.13/0.79      inference('cnf', [status(esa)], [wajsberg_1])).
% 1.13/0.79  thf(zip_derived_cl115, plain, (![X0 : $i]: ((truth) = (implies @ X0 @ X0))),
% 1.13/0.79      inference('demod', [status(thm)], [zip_derived_cl94, zip_derived_cl0])).
% 1.13/0.79  thf(zip_derived_cl132, plain,
% 1.13/0.79      (![X0 : $i]: ((implies @ X0 @ truth) = (truth))),
% 1.13/0.79      inference('demod', [status(thm)], [zip_derived_cl97, zip_derived_cl115])).
% 1.13/0.79  thf(zip_derived_cl1, plain,
% 1.13/0.79      (![X0 : $i, X1 : $i, X2 : $i]:
% 1.13/0.79         ((implies @ (implies @ X0 @ X1) @ 
% 1.13/0.79           (implies @ (implies @ X1 @ X2) @ (implies @ X0 @ X2))) = (truth))),
% 1.13/0.79      inference('cnf', [status(esa)], [wajsberg_2])).
% 1.13/0.79  thf(zip_derived_cl154, plain,
% 1.13/0.79      (![X0 : $i, X1 : $i]:
% 1.13/0.79         ((implies @ truth @ 
% 1.13/0.79           (implies @ (implies @ truth @ X0) @ (implies @ X1 @ X0))) = (
% 1.13/0.79           truth))),
% 1.13/0.79      inference('s_sup+', [status(thm)], [zip_derived_cl132, zip_derived_cl1])).
% 1.13/0.79  thf(zip_derived_cl0, plain, (![X0 : $i]: ((implies @ truth @ X0) = (X0))),
% 1.13/0.79      inference('cnf', [status(esa)], [wajsberg_1])).
% 1.13/0.79  thf(zip_derived_cl0, plain, (![X0 : $i]: ((implies @ truth @ X0) = (X0))),
% 1.13/0.79      inference('cnf', [status(esa)], [wajsberg_1])).
% 1.13/0.79  thf(zip_derived_cl164, plain,
% 1.13/0.79      (![X0 : $i, X1 : $i]: ((implies @ X0 @ (implies @ X1 @ X0)) = (truth))),
% 1.13/0.79      inference('demod', [status(thm)],
% 1.13/0.79                [zip_derived_cl154, zip_derived_cl0, zip_derived_cl0])).
% 1.13/0.79  thf(zip_derived_cl183, plain, (((truth) != (truth))),
% 1.13/0.79      inference('demod', [status(thm)], [zip_derived_cl4, zip_derived_cl164])).
% 1.13/0.79  thf(zip_derived_cl184, plain, ($false),
% 1.13/0.79      inference('simplify', [status(thm)], [zip_derived_cl183])).
% 1.13/0.79  
% 1.13/0.79  % SZS output end Refutation
% 1.13/0.79  
% 1.13/0.79  
% 1.13/0.79  % Terminating...
% 1.50/0.85  % Runner terminated.
% 1.50/0.86  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------