TSTP Solution File: LAT233-1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : LAT233-1 : TPTP v8.1.2. Released v3.1.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.epqQb0vIi5 true
% Computer : n020.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 06:46:15 EDT 2023
% Result : Unsatisfiable 48.49s 7.54s
% Output : Refutation 48.49s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : LAT233-1 : TPTP v8.1.2. Released v3.1.0.
% 0.00/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.epqQb0vIi5 true
% 0.15/0.35 % Computer : n020.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 : Thu Aug 24 06:11:01 EDT 2023
% 0.15/0.35 % CPUTime :
% 0.15/0.35 % Running portfolio for 300 s
% 0.15/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/0.35 % Number of cores: 8
% 0.15/0.35 % Python version: Python 3.6.8
% 0.15/0.36 % Running in FO mode
% 0.22/0.68 % Total configuration time : 435
% 0.22/0.68 % Estimated wc time : 1092
% 0.22/0.68 % Estimated cpu time (7 cpus) : 156.0
% 0.22/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.22/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 1.23/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 1.23/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 1.23/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 1.23/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 1.23/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 48.49/7.54 % Solved by fo/fo4.sh.
% 48.49/7.54 % done 3663 iterations in 6.757s
% 48.49/7.54 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 48.49/7.54 % SZS output start Refutation
% 48.49/7.54 thf(b_type, type, b: $i).
% 48.49/7.54 thf(one_type, type, one: $i).
% 48.49/7.54 thf(join_type, type, join: $i > $i > $i).
% 48.49/7.54 thf(a_type, type, a: $i).
% 48.49/7.54 thf(zero_type, type, zero: $i).
% 48.49/7.54 thf(meet_type, type, meet: $i > $i > $i).
% 48.49/7.54 thf(complement_type, type, complement: $i > $i).
% 48.49/7.54 thf(complement_join, axiom, (( join @ X @ ( complement @ X ) ) = ( one ))).
% 48.49/7.54 thf(zip_derived_cl8, plain,
% 48.49/7.54 (![X0 : $i]: ((join @ X0 @ (complement @ X0)) = (one))),
% 48.49/7.54 inference('cnf', [status(esa)], [complement_join])).
% 48.49/7.54 thf(zip_derived_cl8, plain,
% 48.49/7.54 (![X0 : $i]: ((join @ X0 @ (complement @ X0)) = (one))),
% 48.49/7.54 inference('cnf', [status(esa)], [complement_join])).
% 48.49/7.54 thf(prove_distributivity_hypothesis, axiom, (( meet @ b @ a ) = ( a ))).
% 48.49/7.54 thf(zip_derived_cl12, plain, (((meet @ b @ a) = (a))),
% 48.49/7.54 inference('cnf', [status(esa)], [prove_distributivity_hypothesis])).
% 48.49/7.54 thf(absorption2, axiom, (( join @ X @ ( meet @ X @ Y ) ) = ( X ))).
% 48.49/7.54 thf(zip_derived_cl3, plain,
% 48.49/7.54 (![X0 : $i, X1 : $i]: ((join @ X0 @ (meet @ X0 @ X1)) = (X0))),
% 48.49/7.54 inference('cnf', [status(esa)], [absorption2])).
% 48.49/7.54 thf(zip_derived_cl29, plain, (((join @ b @ a) = (b))),
% 48.49/7.54 inference('sup+', [status(thm)], [zip_derived_cl12, zip_derived_cl3])).
% 48.49/7.54 thf(associativity_of_join, axiom,
% 48.49/7.54 (( join @ ( join @ X @ Y ) @ Z ) = ( join @ X @ ( join @ Y @ Z ) ))).
% 48.49/7.54 thf(zip_derived_cl7, plain,
% 48.49/7.54 (![X0 : $i, X1 : $i, X2 : $i]:
% 48.49/7.54 ((join @ (join @ X0 @ X1) @ X2) = (join @ X0 @ (join @ X1 @ X2)))),
% 48.49/7.54 inference('cnf', [status(esa)], [associativity_of_join])).
% 48.49/7.54 thf(zip_derived_cl180, plain,
% 48.49/7.54 (![X0 : $i]: ((join @ b @ X0) = (join @ b @ (join @ a @ X0)))),
% 48.49/7.54 inference('sup+', [status(thm)], [zip_derived_cl29, zip_derived_cl7])).
% 48.49/7.54 thf(zip_derived_cl523, plain,
% 48.49/7.54 (((join @ b @ (complement @ a)) = (join @ b @ one))),
% 48.49/7.54 inference('sup+', [status(thm)], [zip_derived_cl8, zip_derived_cl180])).
% 48.49/7.54 thf(zip_derived_cl8, plain,
% 48.49/7.54 (![X0 : $i]: ((join @ X0 @ (complement @ X0)) = (one))),
% 48.49/7.54 inference('cnf', [status(esa)], [complement_join])).
% 48.49/7.54 thf(absorption1, axiom, (( meet @ X @ ( join @ X @ Y ) ) = ( X ))).
% 48.49/7.54 thf(zip_derived_cl2, plain,
% 48.49/7.54 (![X0 : $i, X1 : $i]: ((meet @ X0 @ (join @ X0 @ X1)) = (X0))),
% 48.49/7.54 inference('cnf', [status(esa)], [absorption1])).
% 48.49/7.54 thf(zip_derived_cl15, plain, (![X0 : $i]: ((meet @ X0 @ one) = (X0))),
% 48.49/7.54 inference('sup+', [status(thm)], [zip_derived_cl8, zip_derived_cl2])).
% 48.49/7.54 thf(commutativity_of_meet, axiom, (( meet @ X @ Y ) = ( meet @ Y @ X ))).
% 48.49/7.54 thf(zip_derived_cl4, plain,
% 48.49/7.54 (![X0 : $i, X1 : $i]: ((meet @ X1 @ X0) = (meet @ X0 @ X1))),
% 48.49/7.54 inference('cnf', [status(esa)], [commutativity_of_meet])).
% 48.49/7.54 thf(zip_derived_cl18, plain, (![X0 : $i]: ((X0) = (meet @ one @ X0))),
% 48.49/7.54 inference('sup+', [status(thm)], [zip_derived_cl15, zip_derived_cl4])).
% 48.49/7.54 thf(zip_derived_cl3, plain,
% 48.49/7.54 (![X0 : $i, X1 : $i]: ((join @ X0 @ (meet @ X0 @ X1)) = (X0))),
% 48.49/7.54 inference('cnf', [status(esa)], [absorption2])).
% 48.49/7.54 thf(zip_derived_cl33, plain, (![X0 : $i]: ((join @ one @ X0) = (one))),
% 48.49/7.54 inference('sup+', [status(thm)], [zip_derived_cl18, zip_derived_cl3])).
% 48.49/7.54 thf(commutativity_of_join, axiom, (( join @ X @ Y ) = ( join @ Y @ X ))).
% 48.49/7.54 thf(zip_derived_cl5, plain,
% 48.49/7.54 (![X0 : $i, X1 : $i]: ((join @ X1 @ X0) = (join @ X0 @ X1))),
% 48.49/7.54 inference('cnf', [status(esa)], [commutativity_of_join])).
% 48.49/7.54 thf(zip_derived_cl154, plain, (![X0 : $i]: ((join @ X0 @ one) = (one))),
% 48.49/7.54 inference('sup+', [status(thm)], [zip_derived_cl33, zip_derived_cl5])).
% 48.49/7.54 thf(zip_derived_cl531, plain, (((join @ b @ (complement @ a)) = (one))),
% 48.49/7.54 inference('demod', [status(thm)], [zip_derived_cl523, zip_derived_cl154])).
% 48.49/7.54 thf(equation_H24, axiom,
% 48.49/7.54 (( join @ ( meet @ X @ Y ) @ ( meet @ Y @ Z ) ) =
% 48.49/7.54 ( join @
% 48.49/7.54 ( meet @ X @ Y ) @
% 48.49/7.54 ( meet @
% 48.49/7.54 Y @ ( join @ ( meet @ X @ Y ) @ ( meet @ Z @ ( join @ X @ Y ) ) ) ) ))).
% 48.49/7.54 thf(zip_derived_cl11, plain,
% 48.49/7.54 (![X0 : $i, X1 : $i, X2 : $i]:
% 48.49/7.54 ((join @ (meet @ X0 @ X1) @ (meet @ X1 @ X2))
% 48.49/7.54 = (join @ (meet @ X0 @ X1) @
% 48.49/7.54 (meet @ X1 @
% 48.49/7.54 (join @ (meet @ X0 @ X1) @ (meet @ X2 @ (join @ X0 @ X1))))))),
% 48.49/7.54 inference('cnf', [status(esa)], [equation_H24])).
% 48.49/7.54 thf(zip_derived_cl543, plain,
% 48.49/7.54 (![X0 : $i]:
% 48.49/7.54 ((join @ (meet @ b @ (complement @ a)) @
% 48.49/7.54 (meet @ (complement @ a) @ X0))
% 48.49/7.54 = (join @ (meet @ b @ (complement @ a)) @
% 48.49/7.54 (meet @ (complement @ a) @
% 48.49/7.54 (join @ (meet @ b @ (complement @ a)) @ (meet @ X0 @ one)))))),
% 48.49/7.54 inference('sup+', [status(thm)], [zip_derived_cl531, zip_derived_cl11])).
% 48.49/7.54 thf(zip_derived_cl15, plain, (![X0 : $i]: ((meet @ X0 @ one) = (X0))),
% 48.49/7.54 inference('sup+', [status(thm)], [zip_derived_cl8, zip_derived_cl2])).
% 48.49/7.54 thf(zip_derived_cl550, plain,
% 48.49/7.54 (![X0 : $i]:
% 48.49/7.54 ((join @ (meet @ b @ (complement @ a)) @
% 48.49/7.54 (meet @ (complement @ a) @ X0))
% 48.49/7.54 = (join @ (meet @ b @ (complement @ a)) @
% 48.49/7.54 (meet @ (complement @ a) @
% 48.49/7.54 (join @ (meet @ b @ (complement @ a)) @ X0))))),
% 48.49/7.54 inference('demod', [status(thm)], [zip_derived_cl543, zip_derived_cl15])).
% 48.49/7.54 thf(zip_derived_cl30311, plain,
% 48.49/7.54 (((join @ (meet @ b @ (complement @ a)) @
% 48.49/7.54 (meet @ (complement @ a) @
% 48.49/7.54 (complement @ (meet @ b @ (complement @ a)))))
% 48.49/7.54 = (join @ (meet @ b @ (complement @ a)) @
% 48.49/7.54 (meet @ (complement @ a) @ one)))),
% 48.49/7.54 inference('sup+', [status(thm)], [zip_derived_cl8, zip_derived_cl550])).
% 48.49/7.54 thf(zip_derived_cl15, plain, (![X0 : $i]: ((meet @ X0 @ one) = (X0))),
% 48.49/7.54 inference('sup+', [status(thm)], [zip_derived_cl8, zip_derived_cl2])).
% 48.49/7.54 thf(zip_derived_cl5, plain,
% 48.49/7.54 (![X0 : $i, X1 : $i]: ((join @ X1 @ X0) = (join @ X0 @ X1))),
% 48.49/7.54 inference('cnf', [status(esa)], [commutativity_of_join])).
% 48.49/7.54 thf(zip_derived_cl4, plain,
% 48.49/7.54 (![X0 : $i, X1 : $i]: ((meet @ X1 @ X0) = (meet @ X0 @ X1))),
% 48.49/7.54 inference('cnf', [status(esa)], [commutativity_of_meet])).
% 48.49/7.54 thf(zip_derived_cl3, plain,
% 48.49/7.54 (![X0 : $i, X1 : $i]: ((join @ X0 @ (meet @ X0 @ X1)) = (X0))),
% 48.49/7.54 inference('cnf', [status(esa)], [absorption2])).
% 48.49/7.54 thf(zip_derived_cl24, plain,
% 48.49/7.54 (![X0 : $i, X1 : $i]: ((join @ X0 @ (meet @ X1 @ X0)) = (X0))),
% 48.49/7.54 inference('sup+', [status(thm)], [zip_derived_cl4, zip_derived_cl3])).
% 48.49/7.54 thf(zip_derived_cl30408, plain,
% 48.49/7.54 (((join @ (meet @ b @ (complement @ a)) @
% 48.49/7.54 (meet @ (complement @ a) @
% 48.49/7.54 (complement @ (meet @ b @ (complement @ a)))))
% 48.49/7.54 = (complement @ a))),
% 48.49/7.54 inference('demod', [status(thm)],
% 48.49/7.54 [zip_derived_cl30311, zip_derived_cl15, zip_derived_cl5,
% 48.49/7.54 zip_derived_cl24])).
% 48.49/7.54 thf(zip_derived_cl3, plain,
% 48.49/7.54 (![X0 : $i, X1 : $i]: ((join @ X0 @ (meet @ X0 @ X1)) = (X0))),
% 48.49/7.54 inference('cnf', [status(esa)], [absorption2])).
% 48.49/7.54 thf(zip_derived_cl7, plain,
% 48.49/7.54 (![X0 : $i, X1 : $i, X2 : $i]:
% 48.49/7.54 ((join @ (join @ X0 @ X1) @ X2) = (join @ X0 @ (join @ X1 @ X2)))),
% 48.49/7.54 inference('cnf', [status(esa)], [associativity_of_join])).
% 48.49/7.54 thf(zip_derived_cl174, plain,
% 48.49/7.54 (![X0 : $i, X1 : $i, X2 : $i]:
% 48.49/7.54 ((join @ X0 @ X1) = (join @ X0 @ (join @ (meet @ X0 @ X2) @ X1)))),
% 48.49/7.54 inference('sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl7])).
% 48.49/7.54 thf(zip_derived_cl31407, plain,
% 48.49/7.54 (((join @ b @
% 48.49/7.54 (meet @ (complement @ a) @
% 48.49/7.54 (complement @ (meet @ b @ (complement @ a)))))
% 48.49/7.54 = (join @ b @ (complement @ a)))),
% 48.49/7.54 inference('sup+', [status(thm)], [zip_derived_cl30408, zip_derived_cl174])).
% 48.49/7.54 thf(zip_derived_cl531, plain, (((join @ b @ (complement @ a)) = (one))),
% 48.49/7.54 inference('demod', [status(thm)], [zip_derived_cl523, zip_derived_cl154])).
% 48.49/7.54 thf(zip_derived_cl31564, plain,
% 48.49/7.54 (((join @ b @
% 48.49/7.54 (meet @ (complement @ a) @
% 48.49/7.54 (complement @ (meet @ b @ (complement @ a)))))
% 48.49/7.54 = (one))),
% 48.49/7.54 inference('demod', [status(thm)],
% 48.49/7.54 [zip_derived_cl31407, zip_derived_cl531])).
% 48.49/7.54 thf(zip_derived_cl3, plain,
% 48.49/7.54 (![X0 : $i, X1 : $i]: ((join @ X0 @ (meet @ X0 @ X1)) = (X0))),
% 48.49/7.54 inference('cnf', [status(esa)], [absorption2])).
% 48.49/7.54 thf(meet_join_complement, axiom,
% 48.49/7.54 (( ( meet @ X @ Y ) != ( zero ) ) | ( ( join @ X @ Y ) != ( one ) ) |
% 48.49/7.54 ( ( complement @ X ) = ( Y ) ))).
% 48.49/7.54 thf(zip_derived_cl10, plain,
% 48.49/7.54 (![X0 : $i, X1 : $i]:
% 48.49/7.54 (((meet @ X0 @ X1) != (zero))
% 48.49/7.54 | ((join @ X0 @ X1) != (one))
% 48.49/7.54 | ((complement @ X0) = (X1)))),
% 48.49/7.54 inference('cnf', [status(esa)], [meet_join_complement])).
% 48.49/7.54 thf(prove_distributivity, conjecture,
% 48.49/7.54 (( join @ ( complement @ b ) @ ( complement @ a ) ) = ( complement @ a ))).
% 48.49/7.54 thf(zf_stmt_0, negated_conjecture,
% 48.49/7.54 (( join @ ( complement @ b ) @ ( complement @ a ) ) != ( complement @ a )),
% 48.49/7.54 inference('cnf.neg', [status(esa)], [prove_distributivity])).
% 48.49/7.54 thf(zip_derived_cl13, plain,
% 48.49/7.54 (((join @ (complement @ b) @ (complement @ a)) != (complement @ a))),
% 48.49/7.54 inference('cnf', [status(esa)], [zf_stmt_0])).
% 48.49/7.54 thf(zip_derived_cl5, plain,
% 48.49/7.54 (![X0 : $i, X1 : $i]: ((join @ X1 @ X0) = (join @ X0 @ X1))),
% 48.49/7.54 inference('cnf', [status(esa)], [commutativity_of_join])).
% 48.49/7.54 thf(zip_derived_cl38, plain,
% 48.49/7.54 (((join @ (complement @ a) @ (complement @ b)) != (complement @ a))),
% 48.49/7.54 inference('demod', [status(thm)], [zip_derived_cl13, zip_derived_cl5])).
% 48.49/7.54 thf(zip_derived_cl50, plain,
% 48.49/7.54 (![X0 : $i]:
% 48.49/7.54 (((join @ (complement @ a) @ X0) != (complement @ a))
% 48.49/7.54 | ((join @ b @ X0) != (one))
% 48.49/7.54 | ((meet @ b @ X0) != (zero)))),
% 48.49/7.54 inference('sup-', [status(thm)], [zip_derived_cl10, zip_derived_cl38])).
% 48.49/7.54 thf(zip_derived_cl71, plain,
% 48.49/7.54 (![X0 : $i]:
% 48.49/7.54 (((complement @ a) != (complement @ a))
% 48.49/7.54 | ((meet @ b @ (meet @ (complement @ a) @ X0)) != (zero))
% 48.49/7.54 | ((join @ b @ (meet @ (complement @ a) @ X0)) != (one)))),
% 48.49/7.54 inference('sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl50])).
% 48.49/7.54 thf(zip_derived_cl76, plain,
% 48.49/7.54 (![X0 : $i]:
% 48.49/7.54 (((join @ b @ (meet @ (complement @ a) @ X0)) != (one))
% 48.49/7.54 | ((meet @ b @ (meet @ (complement @ a) @ X0)) != (zero)))),
% 48.49/7.54 inference('simplify', [status(thm)], [zip_derived_cl71])).
% 48.49/7.54 thf(zip_derived_cl32991, plain,
% 48.49/7.54 ((((one) != (one))
% 48.49/7.54 | ((meet @ b @
% 48.49/7.54 (meet @ (complement @ a) @
% 48.49/7.54 (complement @ (meet @ b @ (complement @ a)))))
% 48.49/7.54 != (zero)))),
% 48.49/7.54 inference('sup-', [status(thm)], [zip_derived_cl31564, zip_derived_cl76])).
% 48.49/7.54 thf(complement_meet, axiom, (( meet @ X @ ( complement @ X ) ) = ( zero ))).
% 48.49/7.54 thf(zip_derived_cl9, plain,
% 48.49/7.54 (![X0 : $i]: ((meet @ X0 @ (complement @ X0)) = (zero))),
% 48.49/7.54 inference('cnf', [status(esa)], [complement_meet])).
% 48.49/7.54 thf(associativity_of_meet, axiom,
% 48.49/7.54 (( meet @ ( meet @ X @ Y ) @ Z ) = ( meet @ X @ ( meet @ Y @ Z ) ))).
% 48.49/7.54 thf(zip_derived_cl6, plain,
% 48.49/7.54 (![X0 : $i, X1 : $i, X2 : $i]:
% 48.49/7.54 ((meet @ (meet @ X0 @ X1) @ X2) = (meet @ X0 @ (meet @ X1 @ X2)))),
% 48.49/7.54 inference('cnf', [status(esa)], [associativity_of_meet])).
% 48.49/7.54 thf(zip_derived_cl101, plain,
% 48.49/7.54 (![X0 : $i, X1 : $i]:
% 48.49/7.54 ((zero) = (meet @ X1 @ (meet @ X0 @ (complement @ (meet @ X1 @ X0)))))),
% 48.49/7.54 inference('sup+', [status(thm)], [zip_derived_cl9, zip_derived_cl6])).
% 48.49/7.54 thf(zip_derived_cl33146, plain, ((((one) != (one)) | ((zero) != (zero)))),
% 48.49/7.54 inference('demod', [status(thm)],
% 48.49/7.54 [zip_derived_cl32991, zip_derived_cl101])).
% 48.49/7.54 thf(zip_derived_cl33147, plain, ($false),
% 48.49/7.54 inference('simplify', [status(thm)], [zip_derived_cl33146])).
% 48.49/7.54
% 48.49/7.54 % SZS output end Refutation
% 48.49/7.54
% 48.49/7.54
% 48.49/7.54 % Terminating...
% 48.49/7.59 % Runner terminated.
% 48.49/7.60 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------