TSTP Solution File: LCL155-1 by Zipperpin---2.1.9999
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : LCL155-1 : 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.K4xxIUuOKr true
% Computer : n022.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 08:58:25 EDT 2023
% Result : Unsatisfiable 0.20s 0.78s
% Output : Refutation 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : LCL155-1 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.12 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.K4xxIUuOKr true
% 0.12/0.33 % Computer : n022.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.19/0.33 % CPULimit : 300
% 0.19/0.33 % WCLimit : 300
% 0.19/0.33 % DateTime : Fri Aug 25 02:49:40 EDT 2023
% 0.19/0.33 % CPUTime :
% 0.19/0.33 % Running portfolio for 300 s
% 0.19/0.33 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.34 % Number of cores: 8
% 0.19/0.34 % Python version: Python 3.6.8
% 0.19/0.34 % Running in FO mode
% 0.20/0.60 % Total configuration time : 435
% 0.20/0.60 % Estimated wc time : 1092
% 0.20/0.60 % Estimated cpu time (7 cpus) : 156.0
% 0.20/0.66 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.20/0.68 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.20/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.20/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.20/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.20/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.20/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.20/0.78 % Solved by fo/fo3_bce.sh.
% 0.20/0.78 % BCE start: 17
% 0.20/0.78 % BCE eliminated: 0
% 0.20/0.78 % PE start: 17
% 0.20/0.78 logic: eq
% 0.20/0.78 % PE eliminated: 0
% 0.20/0.78 % done 45 iterations in 0.082s
% 0.20/0.78 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.20/0.78 % SZS output start Refutation
% 0.20/0.78 thf(and_type, type, and: $i > $i > $i).
% 0.20/0.78 thf(xor_type, type, xor: $i > $i > $i).
% 0.20/0.78 thf(x_type, type, x: $i).
% 0.20/0.78 thf(or_type, type, or: $i > $i > $i).
% 0.20/0.78 thf(truth_type, type, truth: $i).
% 0.20/0.78 thf(implies_type, type, implies: $i > $i > $i).
% 0.20/0.78 thf(falsehood_type, type, falsehood: $i).
% 0.20/0.78 thf(not_type, type, not: $i > $i).
% 0.20/0.78 thf(prove_alternative_wajsberg_axiom, conjecture,
% 0.20/0.78 (( xor @ x @ x ) = ( falsehood ))).
% 0.20/0.78 thf(zf_stmt_0, negated_conjecture, (( xor @ x @ x ) != ( falsehood )),
% 0.20/0.78 inference('cnf.neg', [status(esa)], [prove_alternative_wajsberg_axiom])).
% 0.20/0.78 thf(zip_derived_cl16, plain, (((xor @ x @ x) != (falsehood))),
% 0.20/0.78 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.20/0.78 thf(xor_definition, axiom,
% 0.20/0.78 (( xor @ X @ Y ) =
% 0.20/0.78 ( or @ ( and @ X @ ( not @ Y ) ) @ ( and @ ( not @ X ) @ Y ) ))).
% 0.20/0.78 thf(zip_derived_cl10, plain,
% 0.20/0.78 (![X0 : $i, X1 : $i]:
% 0.20/0.78 ((xor @ X0 @ X1)
% 0.20/0.78 = (or @ (and @ X0 @ (not @ X1)) @ (and @ (not @ X0) @ X1)))),
% 0.20/0.78 inference('cnf', [status(esa)], [xor_definition])).
% 0.20/0.78 thf(and_definition, axiom,
% 0.20/0.78 (( and @ X @ Y ) = ( not @ ( or @ ( not @ X ) @ ( not @ Y ) ) ))).
% 0.20/0.78 thf(zip_derived_cl7, plain,
% 0.20/0.78 (![X0 : $i, X1 : $i]:
% 0.20/0.78 ((and @ X0 @ X1) = (not @ (or @ (not @ X0) @ (not @ X1))))),
% 0.20/0.78 inference('cnf', [status(esa)], [and_definition])).
% 0.20/0.78 thf(or_definition, axiom, (( or @ X @ Y ) = ( implies @ ( not @ X ) @ Y ))).
% 0.20/0.78 thf(zip_derived_cl4, plain,
% 0.20/0.78 (![X0 : $i, X1 : $i]: ((or @ X0 @ X1) = (implies @ (not @ X0) @ X1))),
% 0.20/0.78 inference('cnf', [status(esa)], [or_definition])).
% 0.20/0.78 thf(zip_derived_cl20, plain,
% 0.20/0.78 (![X0 : $i, X1 : $i]:
% 0.20/0.78 ((and @ X0 @ X1) = (not @ (implies @ (not @ (not @ X0)) @ (not @ X1))))),
% 0.20/0.78 inference('demod', [status(thm)], [zip_derived_cl7, zip_derived_cl4])).
% 0.20/0.78 thf(zip_derived_cl20, plain,
% 0.20/0.78 (![X0 : $i, X1 : $i]:
% 0.20/0.78 ((and @ X0 @ X1) = (not @ (implies @ (not @ (not @ X0)) @ (not @ X1))))),
% 0.20/0.78 inference('demod', [status(thm)], [zip_derived_cl7, zip_derived_cl4])).
% 0.20/0.78 thf(zip_derived_cl4, plain,
% 0.20/0.78 (![X0 : $i, X1 : $i]: ((or @ X0 @ X1) = (implies @ (not @ X0) @ X1))),
% 0.20/0.78 inference('cnf', [status(esa)], [or_definition])).
% 0.20/0.78 thf(zip_derived_cl168, plain,
% 0.20/0.78 (![X0 : $i, X1 : $i]:
% 0.20/0.78 ((xor @ X0 @ X1)
% 0.20/0.78 = (implies @
% 0.20/0.78 (not @
% 0.20/0.78 (not @ (implies @ (not @ (not @ X0)) @ (not @ (not @ X1))))) @
% 0.20/0.78 (not @ (implies @ (not @ (not @ (not @ X0))) @ (not @ X1)))))),
% 0.20/0.78 inference('demod', [status(thm)],
% 0.20/0.78 [zip_derived_cl10, zip_derived_cl20, zip_derived_cl20,
% 0.20/0.78 zip_derived_cl4])).
% 0.20/0.78 thf(or_commutativity, axiom, (( or @ X @ Y ) = ( or @ Y @ X ))).
% 0.20/0.78 thf(zip_derived_cl6, plain,
% 0.20/0.78 (![X0 : $i, X1 : $i]: ((or @ X1 @ X0) = (or @ X0 @ X1))),
% 0.20/0.78 inference('cnf', [status(esa)], [or_commutativity])).
% 0.20/0.78 thf(zip_derived_cl4, plain,
% 0.20/0.78 (![X0 : $i, X1 : $i]: ((or @ X0 @ X1) = (implies @ (not @ X0) @ X1))),
% 0.20/0.78 inference('cnf', [status(esa)], [or_definition])).
% 0.20/0.78 thf(zip_derived_cl4, plain,
% 0.20/0.78 (![X0 : $i, X1 : $i]: ((or @ X0 @ X1) = (implies @ (not @ X0) @ X1))),
% 0.20/0.78 inference('cnf', [status(esa)], [or_definition])).
% 0.20/0.78 thf(zip_derived_cl19, plain,
% 0.20/0.78 (![X0 : $i, X1 : $i]:
% 0.20/0.78 ((implies @ (not @ X1) @ X0) = (implies @ (not @ X0) @ X1))),
% 0.20/0.78 inference('demod', [status(thm)],
% 0.20/0.78 [zip_derived_cl6, zip_derived_cl4, zip_derived_cl4])).
% 0.20/0.78 thf(zip_derived_cl170, plain,
% 0.20/0.78 (((implies @
% 0.20/0.78 (not @ (not @ (implies @ (not @ (not @ x)) @ (not @ (not @ x))))) @
% 0.20/0.78 (not @ (implies @ (not @ (not @ x)) @ (not @ (not @ x)))))
% 0.20/0.78 != (falsehood))),
% 0.20/0.78 inference('demod', [status(thm)],
% 0.20/0.78 [zip_derived_cl16, zip_derived_cl168, zip_derived_cl19])).
% 0.20/0.78 thf(zip_derived_cl19, plain,
% 0.20/0.78 (![X0 : $i, X1 : $i]:
% 0.20/0.78 ((implies @ (not @ X1) @ X0) = (implies @ (not @ X0) @ X1))),
% 0.20/0.78 inference('demod', [status(thm)],
% 0.20/0.78 [zip_derived_cl6, zip_derived_cl4, zip_derived_cl4])).
% 0.20/0.78 thf(wajsberg_1, axiom, (( implies @ truth @ X ) = ( X ))).
% 0.20/0.78 thf(zip_derived_cl0, plain, (![X0 : $i]: ((implies @ truth @ X0) = (X0))),
% 0.20/0.78 inference('cnf', [status(esa)], [wajsberg_1])).
% 0.20/0.78 thf(wajsberg_4, axiom,
% 0.20/0.78 (( implies @ ( implies @ ( not @ X ) @ ( not @ Y ) ) @ ( implies @ Y @ X ) ) =
% 0.20/0.78 ( truth ))).
% 0.20/0.78 thf(zip_derived_cl3, plain,
% 0.20/0.78 (![X0 : $i, X1 : $i]:
% 0.20/0.78 ((implies @ (implies @ (not @ X0) @ (not @ X1)) @ (implies @ X1 @ X0))
% 0.20/0.78 = (truth))),
% 0.20/0.78 inference('cnf', [status(esa)], [wajsberg_4])).
% 0.20/0.78 thf(zip_derived_cl199, plain,
% 0.20/0.78 (![X0 : $i]:
% 0.20/0.78 ((implies @ (implies @ (not @ X0) @ (not @ truth)) @ X0) = (truth))),
% 0.20/0.78 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl3])).
% 0.20/0.78 thf(false_definition, axiom, (( not @ truth ) = ( falsehood ))).
% 0.20/0.78 thf(zip_derived_cl15, plain, (((not @ truth) = (falsehood))),
% 0.20/0.78 inference('cnf', [status(esa)], [false_definition])).
% 0.20/0.78 thf(zip_derived_cl213, plain,
% 0.20/0.78 (![X0 : $i]:
% 0.20/0.78 ((implies @ (implies @ (not @ X0) @ falsehood) @ X0) = (truth))),
% 0.20/0.78 inference('demod', [status(thm)], [zip_derived_cl199, zip_derived_cl15])).
% 0.20/0.78 thf(zip_derived_cl230, plain,
% 0.20/0.78 (![X0 : $i]:
% 0.20/0.78 ((implies @ (implies @ (not @ falsehood) @ X0) @ X0) = (truth))),
% 0.20/0.78 inference('sup+', [status(thm)], [zip_derived_cl19, zip_derived_cl213])).
% 0.20/0.78 thf(zip_derived_cl230, plain,
% 0.20/0.78 (![X0 : $i]:
% 0.20/0.78 ((implies @ (implies @ (not @ falsehood) @ X0) @ X0) = (truth))),
% 0.20/0.78 inference('sup+', [status(thm)], [zip_derived_cl19, zip_derived_cl213])).
% 0.20/0.78 thf(wajsberg_3, axiom,
% 0.20/0.78 (( implies @ ( implies @ X @ Y ) @ Y ) =
% 0.20/0.78 ( implies @ ( implies @ Y @ X ) @ X ))).
% 0.20/0.78 thf(zip_derived_cl2, plain,
% 0.20/0.78 (![X0 : $i, X1 : $i]:
% 0.20/0.78 ((implies @ (implies @ X1 @ X0) @ X0)
% 0.20/0.78 = (implies @ (implies @ X0 @ X1) @ X1))),
% 0.20/0.78 inference('cnf', [status(esa)], [wajsberg_3])).
% 0.20/0.78 thf(zip_derived_cl2, plain,
% 0.20/0.78 (![X0 : $i, X1 : $i]:
% 0.20/0.78 ((implies @ (implies @ X1 @ X0) @ X0)
% 0.20/0.78 = (implies @ (implies @ X0 @ X1) @ X1))),
% 0.20/0.78 inference('cnf', [status(esa)], [wajsberg_3])).
% 0.20/0.78 thf(zip_derived_cl29, plain,
% 0.20/0.78 (![X0 : $i, X1 : $i]:
% 0.20/0.78 ((implies @ (implies @ X1 @ (implies @ X0 @ X1)) @ (implies @ X0 @ X1))
% 0.20/0.78 = (implies @ (implies @ (implies @ X1 @ X0) @ X0) @ X1))),
% 0.20/0.78 inference('sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl2])).
% 0.20/0.78 thf(zip_derived_cl419, plain,
% 0.20/0.78 (![X0 : $i]:
% 0.20/0.78 ((implies @
% 0.20/0.78 (implies @ (not @ falsehood) @ (implies @ X0 @ (not @ falsehood))) @
% 0.20/0.78 (implies @ X0 @ (not @ falsehood)))
% 0.20/0.78 = (implies @ truth @ (not @ falsehood)))),
% 0.20/0.78 inference('sup+', [status(thm)], [zip_derived_cl230, zip_derived_cl29])).
% 0.20/0.78 thf(zip_derived_cl230, plain,
% 0.20/0.78 (![X0 : $i]:
% 0.20/0.78 ((implies @ (implies @ (not @ falsehood) @ X0) @ X0) = (truth))),
% 0.20/0.78 inference('sup+', [status(thm)], [zip_derived_cl19, zip_derived_cl213])).
% 0.20/0.78 thf(zip_derived_cl0, plain, (![X0 : $i]: ((implies @ truth @ X0) = (X0))),
% 0.20/0.78 inference('cnf', [status(esa)], [wajsberg_1])).
% 0.20/0.78 thf(zip_derived_cl431, plain, (((truth) = (not @ falsehood))),
% 0.20/0.78 inference('demod', [status(thm)],
% 0.20/0.78 [zip_derived_cl419, zip_derived_cl230, zip_derived_cl0])).
% 0.20/0.78 thf(zip_derived_cl0, plain, (![X0 : $i]: ((implies @ truth @ X0) = (X0))),
% 0.20/0.78 inference('cnf', [status(esa)], [wajsberg_1])).
% 0.20/0.78 thf(zip_derived_cl432, plain, (![X0 : $i]: ((implies @ X0 @ X0) = (truth))),
% 0.20/0.78 inference('demod', [status(thm)],
% 0.20/0.78 [zip_derived_cl230, zip_derived_cl431, zip_derived_cl0])).
% 0.20/0.78 thf(zip_derived_cl15, plain, (((not @ truth) = (falsehood))),
% 0.20/0.78 inference('cnf', [status(esa)], [false_definition])).
% 0.20/0.78 thf(zip_derived_cl431, plain, (((truth) = (not @ falsehood))),
% 0.20/0.78 inference('demod', [status(thm)],
% 0.20/0.78 [zip_derived_cl419, zip_derived_cl230, zip_derived_cl0])).
% 0.20/0.78 thf(zip_derived_cl432, plain, (![X0 : $i]: ((implies @ X0 @ X0) = (truth))),
% 0.20/0.78 inference('demod', [status(thm)],
% 0.20/0.78 [zip_derived_cl230, zip_derived_cl431, zip_derived_cl0])).
% 0.20/0.78 thf(zip_derived_cl15, plain, (((not @ truth) = (falsehood))),
% 0.20/0.78 inference('cnf', [status(esa)], [false_definition])).
% 0.20/0.78 thf(zip_derived_cl0, plain, (![X0 : $i]: ((implies @ truth @ X0) = (X0))),
% 0.20/0.78 inference('cnf', [status(esa)], [wajsberg_1])).
% 0.20/0.78 thf(zip_derived_cl472, plain, (((falsehood) != (falsehood))),
% 0.20/0.78 inference('demod', [status(thm)],
% 0.20/0.78 [zip_derived_cl170, zip_derived_cl432, zip_derived_cl15,
% 0.20/0.78 zip_derived_cl431, zip_derived_cl432, zip_derived_cl15,
% 0.20/0.78 zip_derived_cl0])).
% 0.20/0.78 thf(zip_derived_cl473, plain, ($false),
% 0.20/0.78 inference('simplify', [status(thm)], [zip_derived_cl472])).
% 0.20/0.78
% 0.20/0.78 % SZS output end Refutation
% 0.20/0.78
% 0.20/0.78
% 0.20/0.78 % Terminating...
% 1.39/0.81 % Runner terminated.
% 1.39/0.82 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------