TSTP Solution File: LCL157-1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : LCL157-1 : 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.rGUDuiLHO0 true
% Computer : n032.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 0.17s 0.71s
% Output : Refutation 0.17s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : LCL157-1 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.12 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.rGUDuiLHO0 true
% 0.11/0.32 % Computer : n032.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Fri Aug 25 07:24:57 EDT 2023
% 0.11/0.32 % CPUTime :
% 0.11/0.32 % Running portfolio for 300 s
% 0.11/0.32 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.32 % Number of cores: 8
% 0.11/0.32 % Python version: Python 3.6.8
% 0.11/0.32 % Running in FO mode
% 0.17/0.53 % Total configuration time : 435
% 0.17/0.53 % Estimated wc time : 1092
% 0.17/0.53 % Estimated cpu time (7 cpus) : 156.0
% 0.17/0.62 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.17/0.62 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.17/0.62 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.17/0.62 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.17/0.62 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.17/0.63 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.17/0.65 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.17/0.71 % Solved by fo/fo5.sh.
% 0.17/0.71 % done 92 iterations in 0.062s
% 0.17/0.71 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.17/0.71 % SZS output start Refutation
% 0.17/0.71 thf(x_type, type, x: $i).
% 0.17/0.71 thf(or_type, type, or: $i > $i > $i).
% 0.17/0.71 thf(truth_type, type, truth: $i).
% 0.17/0.71 thf(implies_type, type, implies: $i > $i > $i).
% 0.17/0.71 thf(falsehood_type, type, falsehood: $i).
% 0.17/0.71 thf(and_star_type, type, and_star: $i > $i > $i).
% 0.17/0.71 thf(not_type, type, not: $i > $i).
% 0.17/0.71 thf(prove_alternative_wajsberg_axiom, conjecture,
% 0.17/0.71 (( and_star @ x @ falsehood ) = ( falsehood ))).
% 0.17/0.71 thf(zf_stmt_0, negated_conjecture,
% 0.17/0.71 (( and_star @ x @ falsehood ) != ( falsehood )),
% 0.17/0.71 inference('cnf.neg', [status(esa)], [prove_alternative_wajsberg_axiom])).
% 0.17/0.71 thf(zip_derived_cl16, plain, (((and_star @ x @ falsehood) != (falsehood))),
% 0.17/0.71 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.17/0.71 thf(and_star_commutativity, axiom,
% 0.17/0.71 (( and_star @ X @ Y ) = ( and_star @ Y @ X ))).
% 0.17/0.71 thf(zip_derived_cl14, plain,
% 0.17/0.71 (![X0 : $i, X1 : $i]: ((and_star @ X1 @ X0) = (and_star @ X0 @ X1))),
% 0.17/0.71 inference('cnf', [status(esa)], [and_star_commutativity])).
% 0.17/0.71 thf(zip_derived_cl17, plain, (((and_star @ falsehood @ x) != (falsehood))),
% 0.17/0.71 inference('demod', [status(thm)], [zip_derived_cl16, zip_derived_cl14])).
% 0.17/0.71 thf(wajsberg_1, axiom, (( implies @ truth @ X ) = ( X ))).
% 0.17/0.71 thf(zip_derived_cl0, plain, (![X0 : $i]: ((implies @ truth @ X0) = (X0))),
% 0.17/0.71 inference('cnf', [status(esa)], [wajsberg_1])).
% 0.17/0.71 thf(wajsberg_2, axiom,
% 0.17/0.71 (( implies @
% 0.17/0.71 ( implies @ X @ Y ) @
% 0.17/0.71 ( implies @ ( implies @ Y @ Z ) @ ( implies @ X @ Z ) ) ) =
% 0.17/0.71 ( truth ))).
% 0.17/0.71 thf(zip_derived_cl1, plain,
% 0.17/0.71 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.17/0.71 ((implies @ (implies @ X0 @ X1) @
% 0.17/0.71 (implies @ (implies @ X1 @ X2) @ (implies @ X0 @ X2))) = (truth))),
% 0.17/0.71 inference('cnf', [status(esa)], [wajsberg_2])).
% 0.17/0.71 thf(zip_derived_cl29, plain,
% 0.17/0.71 (![X0 : $i, X1 : $i]:
% 0.17/0.71 ((implies @ (implies @ truth @ X1) @
% 0.17/0.71 (implies @ (implies @ X1 @ X0) @ X0)) = (truth))),
% 0.17/0.71 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl1])).
% 0.17/0.71 thf(zip_derived_cl0, plain, (![X0 : $i]: ((implies @ truth @ X0) = (X0))),
% 0.17/0.71 inference('cnf', [status(esa)], [wajsberg_1])).
% 0.17/0.71 thf(zip_derived_cl37, plain,
% 0.17/0.71 (![X0 : $i, X1 : $i]:
% 0.17/0.71 ((implies @ X1 @ (implies @ (implies @ X1 @ X0) @ X0)) = (truth))),
% 0.17/0.71 inference('demod', [status(thm)], [zip_derived_cl29, zip_derived_cl0])).
% 0.17/0.71 thf(zip_derived_cl0, plain, (![X0 : $i]: ((implies @ truth @ X0) = (X0))),
% 0.17/0.71 inference('cnf', [status(esa)], [wajsberg_1])).
% 0.17/0.71 thf(zip_derived_cl48, plain,
% 0.17/0.71 (![X0 : $i]: ((truth) = (implies @ (implies @ truth @ X0) @ X0))),
% 0.17/0.71 inference('sup+', [status(thm)], [zip_derived_cl37, zip_derived_cl0])).
% 0.17/0.71 thf(zip_derived_cl0, plain, (![X0 : $i]: ((implies @ truth @ X0) = (X0))),
% 0.17/0.71 inference('cnf', [status(esa)], [wajsberg_1])).
% 0.17/0.71 thf(zip_derived_cl58, plain, (![X0 : $i]: ((truth) = (implies @ X0 @ X0))),
% 0.17/0.71 inference('demod', [status(thm)], [zip_derived_cl48, zip_derived_cl0])).
% 0.17/0.71 thf(or_definition, axiom, (( or @ X @ Y ) = ( implies @ ( not @ X ) @ Y ))).
% 0.17/0.71 thf(zip_derived_cl4, plain,
% 0.17/0.71 (![X0 : $i, X1 : $i]: ((or @ X0 @ X1) = (implies @ (not @ X0) @ X1))),
% 0.17/0.71 inference('cnf', [status(esa)], [or_definition])).
% 0.17/0.71 thf(zip_derived_cl65, plain,
% 0.17/0.71 (![X0 : $i]: ((or @ X0 @ (not @ X0)) = (truth))),
% 0.17/0.71 inference('sup+', [status(thm)], [zip_derived_cl58, zip_derived_cl4])).
% 0.17/0.71 thf(or_commutativity, axiom, (( or @ X @ Y ) = ( or @ Y @ X ))).
% 0.17/0.71 thf(zip_derived_cl6, plain,
% 0.17/0.71 (![X0 : $i, X1 : $i]: ((or @ X1 @ X0) = (or @ X0 @ X1))),
% 0.17/0.71 inference('cnf', [status(esa)], [or_commutativity])).
% 0.17/0.71 thf(zip_derived_cl0, plain, (![X0 : $i]: ((implies @ truth @ X0) = (X0))),
% 0.17/0.71 inference('cnf', [status(esa)], [wajsberg_1])).
% 0.17/0.71 thf(wajsberg_4, axiom,
% 0.17/0.71 (( implies @ ( implies @ ( not @ X ) @ ( not @ Y ) ) @ ( implies @ Y @ X ) ) =
% 0.17/0.71 ( truth ))).
% 0.17/0.71 thf(zip_derived_cl3, plain,
% 0.17/0.71 (![X0 : $i, X1 : $i]:
% 0.17/0.71 ((implies @ (implies @ (not @ X0) @ (not @ X1)) @ (implies @ X1 @ X0))
% 0.17/0.71 = (truth))),
% 0.17/0.71 inference('cnf', [status(esa)], [wajsberg_4])).
% 0.17/0.71 thf(zip_derived_cl4, plain,
% 0.17/0.71 (![X0 : $i, X1 : $i]: ((or @ X0 @ X1) = (implies @ (not @ X0) @ X1))),
% 0.17/0.71 inference('cnf', [status(esa)], [or_definition])).
% 0.17/0.71 thf(zip_derived_cl162, plain,
% 0.17/0.71 (![X0 : $i, X1 : $i]:
% 0.17/0.71 ((implies @ (or @ X0 @ (not @ X1)) @ (implies @ X1 @ X0)) = (truth))),
% 0.17/0.71 inference('demod', [status(thm)], [zip_derived_cl3, zip_derived_cl4])).
% 0.17/0.71 thf(zip_derived_cl173, plain,
% 0.17/0.71 (![X0 : $i]: ((implies @ (or @ X0 @ (not @ truth)) @ X0) = (truth))),
% 0.17/0.71 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl162])).
% 0.17/0.71 thf(false_definition, axiom, (( not @ truth ) = ( falsehood ))).
% 0.17/0.71 thf(zip_derived_cl15, plain, (((not @ truth) = (falsehood))),
% 0.17/0.71 inference('cnf', [status(esa)], [false_definition])).
% 0.17/0.71 thf(zip_derived_cl185, plain,
% 0.17/0.71 (![X0 : $i]: ((implies @ (or @ X0 @ falsehood) @ X0) = (truth))),
% 0.17/0.71 inference('demod', [status(thm)], [zip_derived_cl173, zip_derived_cl15])).
% 0.17/0.71 thf(zip_derived_cl462, plain,
% 0.17/0.71 (![X0 : $i]: ((implies @ (or @ falsehood @ X0) @ X0) = (truth))),
% 0.17/0.71 inference('sup+', [status(thm)], [zip_derived_cl6, zip_derived_cl185])).
% 0.17/0.71 thf(zip_derived_cl494, plain,
% 0.17/0.71 (((implies @ truth @ (not @ falsehood)) = (truth))),
% 0.17/0.71 inference('sup+', [status(thm)], [zip_derived_cl65, zip_derived_cl462])).
% 0.17/0.71 thf(zip_derived_cl0, plain, (![X0 : $i]: ((implies @ truth @ X0) = (X0))),
% 0.17/0.71 inference('cnf', [status(esa)], [wajsberg_1])).
% 0.17/0.71 thf(zip_derived_cl513, plain, (((truth) = (not @ falsehood))),
% 0.17/0.71 inference('sup+', [status(thm)], [zip_derived_cl494, zip_derived_cl0])).
% 0.17/0.71 thf(and_star_definition, axiom,
% 0.17/0.71 (( and_star @ X @ Y ) = ( not @ ( or @ ( not @ X ) @ ( not @ Y ) ) ))).
% 0.17/0.71 thf(zip_derived_cl12, plain,
% 0.17/0.71 (![X0 : $i, X1 : $i]:
% 0.17/0.71 ((and_star @ X0 @ X1) = (not @ (or @ (not @ X0) @ (not @ X1))))),
% 0.17/0.71 inference('cnf', [status(esa)], [and_star_definition])).
% 0.17/0.71 thf(zip_derived_cl526, plain,
% 0.17/0.71 (![X0 : $i]:
% 0.17/0.71 ((and_star @ falsehood @ X0) = (not @ (or @ truth @ (not @ X0))))),
% 0.17/0.71 inference('sup+', [status(thm)], [zip_derived_cl513, zip_derived_cl12])).
% 0.17/0.71 thf(zip_derived_cl0, plain, (![X0 : $i]: ((implies @ truth @ X0) = (X0))),
% 0.17/0.71 inference('cnf', [status(esa)], [wajsberg_1])).
% 0.17/0.71 thf(wajsberg_3, axiom,
% 0.17/0.71 (( implies @ ( implies @ X @ Y ) @ Y ) =
% 0.17/0.71 ( implies @ ( implies @ Y @ X ) @ X ))).
% 0.17/0.71 thf(zip_derived_cl2, plain,
% 0.17/0.71 (![X0 : $i, X1 : $i]:
% 0.17/0.71 ((implies @ (implies @ X1 @ X0) @ X0)
% 0.17/0.71 = (implies @ (implies @ X0 @ X1) @ X1))),
% 0.17/0.71 inference('cnf', [status(esa)], [wajsberg_3])).
% 0.17/0.71 thf(zip_derived_cl117, plain,
% 0.17/0.71 (![X0 : $i]:
% 0.17/0.71 ((implies @ X0 @ X0) = (implies @ (implies @ X0 @ truth) @ truth))),
% 0.17/0.71 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl2])).
% 0.17/0.71 thf(zip_derived_cl58, plain, (![X0 : $i]: ((truth) = (implies @ X0 @ X0))),
% 0.17/0.71 inference('demod', [status(thm)], [zip_derived_cl48, zip_derived_cl0])).
% 0.17/0.71 thf(zip_derived_cl127, plain,
% 0.17/0.71 (![X0 : $i]: ((truth) = (implies @ (implies @ X0 @ truth) @ truth))),
% 0.17/0.71 inference('demod', [status(thm)], [zip_derived_cl117, zip_derived_cl58])).
% 0.17/0.71 thf(zip_derived_cl37, plain,
% 0.17/0.71 (![X0 : $i, X1 : $i]:
% 0.17/0.71 ((implies @ X1 @ (implies @ (implies @ X1 @ X0) @ X0)) = (truth))),
% 0.17/0.71 inference('demod', [status(thm)], [zip_derived_cl29, zip_derived_cl0])).
% 0.17/0.71 thf(zip_derived_cl245, plain,
% 0.17/0.71 (![X0 : $i]: ((implies @ X0 @ truth) = (truth))),
% 0.17/0.71 inference('sup+', [status(thm)], [zip_derived_cl127, zip_derived_cl37])).
% 0.17/0.71 thf(zip_derived_cl4, plain,
% 0.17/0.71 (![X0 : $i, X1 : $i]: ((or @ X0 @ X1) = (implies @ (not @ X0) @ X1))),
% 0.17/0.71 inference('cnf', [status(esa)], [or_definition])).
% 0.17/0.71 thf(zip_derived_cl272, plain, (![X0 : $i]: ((or @ X0 @ truth) = (truth))),
% 0.17/0.71 inference('sup+', [status(thm)], [zip_derived_cl245, zip_derived_cl4])).
% 0.17/0.71 thf(zip_derived_cl6, plain,
% 0.17/0.71 (![X0 : $i, X1 : $i]: ((or @ X1 @ X0) = (or @ X0 @ X1))),
% 0.17/0.71 inference('cnf', [status(esa)], [or_commutativity])).
% 0.17/0.71 thf(zip_derived_cl384, plain, (![X0 : $i]: ((or @ truth @ X0) = (truth))),
% 0.17/0.71 inference('sup+', [status(thm)], [zip_derived_cl272, zip_derived_cl6])).
% 0.17/0.71 thf(zip_derived_cl15, plain, (((not @ truth) = (falsehood))),
% 0.17/0.71 inference('cnf', [status(esa)], [false_definition])).
% 0.17/0.71 thf(zip_derived_cl534, plain,
% 0.17/0.71 (![X0 : $i]: ((and_star @ falsehood @ X0) = (falsehood))),
% 0.17/0.71 inference('demod', [status(thm)],
% 0.17/0.71 [zip_derived_cl526, zip_derived_cl384, zip_derived_cl15])).
% 0.17/0.71 thf(zip_derived_cl538, plain, (((falsehood) != (falsehood))),
% 0.17/0.71 inference('demod', [status(thm)], [zip_derived_cl17, zip_derived_cl534])).
% 0.17/0.71 thf(zip_derived_cl539, plain, ($false),
% 0.17/0.71 inference('simplify', [status(thm)], [zip_derived_cl538])).
% 0.17/0.71
% 0.17/0.71 % SZS output end Refutation
% 0.17/0.71
% 0.17/0.71
% 0.17/0.71 % Terminating...
% 0.17/0.78 % Runner terminated.
% 0.17/0.79 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------