TSTP Solution File: LAT249-1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : LAT249-1 : TPTP v8.1.2. Released v3.1.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.UspfANPPZc true
% Computer : n007.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 06:46:18 EDT 2023
% Result : Unsatisfiable 19.85s 3.52s
% Output : Refutation 19.85s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : LAT249-1 : TPTP v8.1.2. Released v3.1.0.
% 0.08/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.UspfANPPZc true
% 0.14/0.36 % Computer : n007.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 07:00:24 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
% 0.14/0.37 % Running in FO mode
% 0.23/0.67 % Total configuration time : 435
% 0.23/0.67 % Estimated wc time : 1092
% 0.23/0.67 % Estimated cpu time (7 cpus) : 156.0
% 0.23/0.73 % /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
% 1.31/0.77 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 1.31/0.77 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 1.31/0.77 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 19.85/3.52 % Solved by fo/fo5.sh.
% 19.85/3.52 % done 1001 iterations in 2.733s
% 19.85/3.52 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 19.85/3.52 % SZS output start Refutation
% 19.85/3.52 thf(b_type, type, b: $i).
% 19.85/3.52 thf(one_type, type, one: $i).
% 19.85/3.52 thf(join_type, type, join: $i > $i > $i).
% 19.85/3.52 thf(a_type, type, a: $i).
% 19.85/3.52 thf(zero_type, type, zero: $i).
% 19.85/3.52 thf(meet_type, type, meet: $i > $i > $i).
% 19.85/3.52 thf(complement_type, type, complement: $i > $i).
% 19.85/3.52 thf(complement_meet, axiom, (( meet @ X @ ( complement @ X ) ) = ( zero ))).
% 19.85/3.52 thf(zip_derived_cl9, plain,
% 19.85/3.52 (![X0 : $i]: ((meet @ X0 @ (complement @ X0)) = (zero))),
% 19.85/3.52 inference('cnf', [status(esa)], [complement_meet])).
% 19.85/3.52 thf(prove_distributivity_hypothesis, axiom, (( meet @ b @ a ) = ( a ))).
% 19.85/3.52 thf(zip_derived_cl12, plain, (((meet @ b @ a) = (a))),
% 19.85/3.52 inference('cnf', [status(esa)], [prove_distributivity_hypothesis])).
% 19.85/3.52 thf(absorption2, axiom, (( join @ X @ ( meet @ X @ Y ) ) = ( X ))).
% 19.85/3.52 thf(zip_derived_cl3, plain,
% 19.85/3.52 (![X0 : $i, X1 : $i]: ((join @ X0 @ (meet @ X0 @ X1)) = (X0))),
% 19.85/3.52 inference('cnf', [status(esa)], [absorption2])).
% 19.85/3.52 thf(zip_derived_cl21, plain, (((join @ b @ a) = (b))),
% 19.85/3.52 inference('sup+', [status(thm)], [zip_derived_cl12, zip_derived_cl3])).
% 19.85/3.52 thf(commutativity_of_join, axiom, (( join @ X @ Y ) = ( join @ Y @ X ))).
% 19.85/3.52 thf(zip_derived_cl5, plain,
% 19.85/3.52 (![X0 : $i, X1 : $i]: ((join @ X1 @ X0) = (join @ X0 @ X1))),
% 19.85/3.52 inference('cnf', [status(esa)], [commutativity_of_join])).
% 19.85/3.52 thf(absorption1, axiom, (( meet @ X @ ( join @ X @ Y ) ) = ( X ))).
% 19.85/3.52 thf(zip_derived_cl2, plain,
% 19.85/3.52 (![X0 : $i, X1 : $i]: ((meet @ X0 @ (join @ X0 @ X1)) = (X0))),
% 19.85/3.52 inference('cnf', [status(esa)], [absorption1])).
% 19.85/3.52 thf(zip_derived_cl31, plain,
% 19.85/3.52 (![X0 : $i, X1 : $i]: ((meet @ X0 @ (join @ X1 @ X0)) = (X0))),
% 19.85/3.52 inference('sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl2])).
% 19.85/3.52 thf(zip_derived_cl249, plain, (((meet @ a @ b) = (a))),
% 19.85/3.52 inference('sup+', [status(thm)], [zip_derived_cl21, zip_derived_cl31])).
% 19.85/3.52 thf(associativity_of_meet, axiom,
% 19.85/3.52 (( meet @ ( meet @ X @ Y ) @ Z ) = ( meet @ X @ ( meet @ Y @ Z ) ))).
% 19.85/3.52 thf(zip_derived_cl6, plain,
% 19.85/3.52 (![X0 : $i, X1 : $i, X2 : $i]:
% 19.85/3.52 ((meet @ (meet @ X0 @ X1) @ X2) = (meet @ X0 @ (meet @ X1 @ X2)))),
% 19.85/3.52 inference('cnf', [status(esa)], [associativity_of_meet])).
% 19.85/3.52 thf(zip_derived_cl253, plain,
% 19.85/3.52 (![X0 : $i]: ((meet @ a @ X0) = (meet @ a @ (meet @ b @ X0)))),
% 19.85/3.52 inference('sup+', [status(thm)], [zip_derived_cl249, zip_derived_cl6])).
% 19.85/3.52 thf(zip_derived_cl6394, plain,
% 19.85/3.52 (((meet @ a @ (complement @ b)) = (meet @ a @ zero))),
% 19.85/3.52 inference('sup+', [status(thm)], [zip_derived_cl9, zip_derived_cl253])).
% 19.85/3.52 thf(zip_derived_cl9, plain,
% 19.85/3.52 (![X0 : $i]: ((meet @ X0 @ (complement @ X0)) = (zero))),
% 19.85/3.52 inference('cnf', [status(esa)], [complement_meet])).
% 19.85/3.52 thf(zip_derived_cl3, plain,
% 19.85/3.52 (![X0 : $i, X1 : $i]: ((join @ X0 @ (meet @ X0 @ X1)) = (X0))),
% 19.85/3.52 inference('cnf', [status(esa)], [absorption2])).
% 19.85/3.52 thf(zip_derived_cl19, plain, (![X0 : $i]: ((join @ X0 @ zero) = (X0))),
% 19.85/3.52 inference('sup+', [status(thm)], [zip_derived_cl9, zip_derived_cl3])).
% 19.85/3.52 thf(zip_derived_cl5, plain,
% 19.85/3.52 (![X0 : $i, X1 : $i]: ((join @ X1 @ X0) = (join @ X0 @ X1))),
% 19.85/3.52 inference('cnf', [status(esa)], [commutativity_of_join])).
% 19.85/3.52 thf(zip_derived_cl34, plain, (![X0 : $i]: ((X0) = (join @ zero @ X0))),
% 19.85/3.52 inference('sup+', [status(thm)], [zip_derived_cl19, zip_derived_cl5])).
% 19.85/3.52 thf(commutativity_of_meet, axiom, (( meet @ X @ Y ) = ( meet @ Y @ X ))).
% 19.85/3.52 thf(zip_derived_cl4, plain,
% 19.85/3.52 (![X0 : $i, X1 : $i]: ((meet @ X1 @ X0) = (meet @ X0 @ X1))),
% 19.85/3.52 inference('cnf', [status(esa)], [commutativity_of_meet])).
% 19.85/3.52 thf(zip_derived_cl3, plain,
% 19.85/3.52 (![X0 : $i, X1 : $i]: ((join @ X0 @ (meet @ X0 @ X1)) = (X0))),
% 19.85/3.52 inference('cnf', [status(esa)], [absorption2])).
% 19.85/3.52 thf(zip_derived_cl23, plain,
% 19.85/3.52 (![X0 : $i, X1 : $i]: ((join @ X0 @ (meet @ X1 @ X0)) = (X0))),
% 19.85/3.52 inference('sup+', [status(thm)], [zip_derived_cl4, zip_derived_cl3])).
% 19.85/3.52 thf(zip_derived_cl176, plain, (![X0 : $i]: ((meet @ X0 @ zero) = (zero))),
% 19.85/3.52 inference('sup+', [status(thm)], [zip_derived_cl34, zip_derived_cl23])).
% 19.85/3.52 thf(zip_derived_cl6416, plain, (((meet @ a @ (complement @ b)) = (zero))),
% 19.85/3.52 inference('demod', [status(thm)], [zip_derived_cl6394, zip_derived_cl176])).
% 19.85/3.52 thf(zip_derived_cl9, plain,
% 19.85/3.52 (![X0 : $i]: ((meet @ X0 @ (complement @ X0)) = (zero))),
% 19.85/3.52 inference('cnf', [status(esa)], [complement_meet])).
% 19.85/3.52 thf(equation_H64, axiom,
% 19.85/3.52 (( meet @ X @ ( join @ Y @ Z ) ) =
% 19.85/3.52 ( meet @
% 19.85/3.52 X @
% 19.85/3.52 ( join @
% 19.85/3.52 Y @
% 19.85/3.52 ( meet @
% 19.85/3.52 X @ ( join @ Z @ ( meet @ X @ ( join @ Y @ ( meet @ X @ Z ) ) ) ) ) ) ))).
% 19.85/3.52 thf(zip_derived_cl11, plain,
% 19.85/3.52 (![X0 : $i, X1 : $i, X2 : $i]:
% 19.85/3.52 ((meet @ X0 @ (join @ X1 @ X2))
% 19.85/3.52 = (meet @ X0 @
% 19.85/3.52 (join @ X1 @
% 19.85/3.52 (meet @ X0 @
% 19.85/3.52 (join @ X2 @ (meet @ X0 @ (join @ X1 @ (meet @ X0 @ X2))))))))),
% 19.85/3.52 inference('cnf', [status(esa)], [equation_H64])).
% 19.85/3.52 thf(zip_derived_cl112, plain,
% 19.85/3.52 (![X0 : $i, X1 : $i]:
% 19.85/3.52 ((meet @ X0 @ (join @ X1 @ (complement @ X0)))
% 19.85/3.52 = (meet @ X0 @
% 19.85/3.52 (join @ X1 @
% 19.85/3.52 (meet @ X0 @
% 19.85/3.52 (join @ (complement @ X0) @ (meet @ X0 @ (join @ X1 @ zero)))))))),
% 19.85/3.52 inference('sup+', [status(thm)], [zip_derived_cl9, zip_derived_cl11])).
% 19.85/3.52 thf(zip_derived_cl19, plain, (![X0 : $i]: ((join @ X0 @ zero) = (X0))),
% 19.85/3.52 inference('sup+', [status(thm)], [zip_derived_cl9, zip_derived_cl3])).
% 19.85/3.52 thf(zip_derived_cl129, plain,
% 19.85/3.52 (![X0 : $i, X1 : $i]:
% 19.85/3.52 ((meet @ X0 @ (join @ X1 @ (complement @ X0)))
% 19.85/3.52 = (meet @ X0 @
% 19.85/3.52 (join @ X1 @
% 19.85/3.52 (meet @ X0 @ (join @ (complement @ X0) @ (meet @ X0 @ X1))))))),
% 19.85/3.52 inference('demod', [status(thm)], [zip_derived_cl112, zip_derived_cl19])).
% 19.85/3.52 thf(zip_derived_cl7682, plain,
% 19.85/3.52 (((meet @ a @ (join @ (complement @ b) @ (complement @ a)))
% 19.85/3.52 = (meet @ a @
% 19.85/3.52 (join @ (complement @ b) @
% 19.85/3.52 (meet @ a @ (join @ (complement @ a) @ zero)))))),
% 19.85/3.52 inference('sup+', [status(thm)], [zip_derived_cl6416, zip_derived_cl129])).
% 19.85/3.52 thf(zip_derived_cl19, plain, (![X0 : $i]: ((join @ X0 @ zero) = (X0))),
% 19.85/3.52 inference('sup+', [status(thm)], [zip_derived_cl9, zip_derived_cl3])).
% 19.85/3.52 thf(zip_derived_cl9, plain,
% 19.85/3.52 (![X0 : $i]: ((meet @ X0 @ (complement @ X0)) = (zero))),
% 19.85/3.52 inference('cnf', [status(esa)], [complement_meet])).
% 19.85/3.52 thf(zip_derived_cl19, plain, (![X0 : $i]: ((join @ X0 @ zero) = (X0))),
% 19.85/3.52 inference('sup+', [status(thm)], [zip_derived_cl9, zip_derived_cl3])).
% 19.85/3.52 thf(zip_derived_cl6416, plain, (((meet @ a @ (complement @ b)) = (zero))),
% 19.85/3.52 inference('demod', [status(thm)], [zip_derived_cl6394, zip_derived_cl176])).
% 19.85/3.52 thf(zip_derived_cl7746, plain,
% 19.85/3.52 (((meet @ a @ (join @ (complement @ b) @ (complement @ a))) = (zero))),
% 19.85/3.52 inference('demod', [status(thm)],
% 19.85/3.52 [zip_derived_cl7682, zip_derived_cl19, zip_derived_cl9,
% 19.85/3.52 zip_derived_cl19, zip_derived_cl6416])).
% 19.85/3.52 thf(zip_derived_cl4, plain,
% 19.85/3.52 (![X0 : $i, X1 : $i]: ((meet @ X1 @ X0) = (meet @ X0 @ X1))),
% 19.85/3.52 inference('cnf', [status(esa)], [commutativity_of_meet])).
% 19.85/3.52 thf(meet_join_complement, axiom,
% 19.85/3.52 (( ( meet @ X @ Y ) != ( zero ) ) | ( ( join @ X @ Y ) != ( one ) ) |
% 19.85/3.52 ( ( complement @ X ) = ( Y ) ))).
% 19.85/3.52 thf(zip_derived_cl10, plain,
% 19.85/3.52 (![X0 : $i, X1 : $i]:
% 19.85/3.52 (((meet @ X0 @ X1) != (zero))
% 19.85/3.52 | ((join @ X0 @ X1) != (one))
% 19.85/3.52 | ((complement @ X0) = (X1)))),
% 19.85/3.52 inference('cnf', [status(esa)], [meet_join_complement])).
% 19.85/3.52 thf(zip_derived_cl37, plain,
% 19.85/3.52 (![X0 : $i, X1 : $i]:
% 19.85/3.52 (((meet @ X1 @ X0) != (zero))
% 19.85/3.52 | ((complement @ X0) = (X1))
% 19.85/3.52 | ((join @ X0 @ X1) != (one)))),
% 19.85/3.52 inference('sup-', [status(thm)], [zip_derived_cl4, zip_derived_cl10])).
% 19.85/3.52 thf(zip_derived_cl8454, plain,
% 19.85/3.52 ((((zero) != (zero))
% 19.85/3.52 | ((join @ (join @ (complement @ b) @ (complement @ a)) @ a) != (one))
% 19.85/3.52 | ((complement @ (join @ (complement @ b) @ (complement @ a))) = (a)))),
% 19.85/3.52 inference('sup-', [status(thm)], [zip_derived_cl7746, zip_derived_cl37])).
% 19.85/3.52 thf(associativity_of_join, axiom,
% 19.85/3.52 (( join @ ( join @ X @ Y ) @ Z ) = ( join @ X @ ( join @ Y @ Z ) ))).
% 19.85/3.52 thf(zip_derived_cl7, plain,
% 19.85/3.52 (![X0 : $i, X1 : $i, X2 : $i]:
% 19.85/3.52 ((join @ (join @ X0 @ X1) @ X2) = (join @ X0 @ (join @ X1 @ X2)))),
% 19.85/3.52 inference('cnf', [status(esa)], [associativity_of_join])).
% 19.85/3.52 thf(zip_derived_cl9, plain,
% 19.85/3.52 (![X0 : $i]: ((meet @ X0 @ (complement @ X0)) = (zero))),
% 19.85/3.52 inference('cnf', [status(esa)], [complement_meet])).
% 19.85/3.52 thf(zip_derived_cl37, plain,
% 19.85/3.52 (![X0 : $i, X1 : $i]:
% 19.85/3.52 (((meet @ X1 @ X0) != (zero))
% 19.85/3.52 | ((complement @ X0) = (X1))
% 19.85/3.52 | ((join @ X0 @ X1) != (one)))),
% 19.85/3.52 inference('sup-', [status(thm)], [zip_derived_cl4, zip_derived_cl10])).
% 19.85/3.52 thf(zip_derived_cl299, plain,
% 19.85/3.52 (![X0 : $i]:
% 19.85/3.52 (((zero) != (zero))
% 19.85/3.52 | ((join @ (complement @ X0) @ X0) != (one))
% 19.85/3.52 | ((complement @ (complement @ X0)) = (X0)))),
% 19.85/3.52 inference('sup-', [status(thm)], [zip_derived_cl9, zip_derived_cl37])).
% 19.85/3.52 thf(zip_derived_cl5, plain,
% 19.85/3.52 (![X0 : $i, X1 : $i]: ((join @ X1 @ X0) = (join @ X0 @ X1))),
% 19.85/3.52 inference('cnf', [status(esa)], [commutativity_of_join])).
% 19.85/3.52 thf(complement_join, axiom, (( join @ X @ ( complement @ X ) ) = ( one ))).
% 19.85/3.52 thf(zip_derived_cl8, plain,
% 19.85/3.52 (![X0 : $i]: ((join @ X0 @ (complement @ X0)) = (one))),
% 19.85/3.52 inference('cnf', [status(esa)], [complement_join])).
% 19.85/3.52 thf(zip_derived_cl313, plain,
% 19.85/3.52 (![X0 : $i]:
% 19.85/3.52 (((zero) != (zero))
% 19.85/3.52 | ((one) != (one))
% 19.85/3.52 | ((complement @ (complement @ X0)) = (X0)))),
% 19.85/3.52 inference('demod', [status(thm)],
% 19.85/3.52 [zip_derived_cl299, zip_derived_cl5, zip_derived_cl8])).
% 19.85/3.52 thf(zip_derived_cl314, plain,
% 19.85/3.52 (![X0 : $i]: ((complement @ (complement @ X0)) = (X0))),
% 19.85/3.52 inference('simplify', [status(thm)], [zip_derived_cl313])).
% 19.85/3.52 thf(zip_derived_cl8, plain,
% 19.85/3.52 (![X0 : $i]: ((join @ X0 @ (complement @ X0)) = (one))),
% 19.85/3.52 inference('cnf', [status(esa)], [complement_join])).
% 19.85/3.52 thf(zip_derived_cl327, plain,
% 19.85/3.52 (![X0 : $i]: ((join @ (complement @ X0) @ X0) = (one))),
% 19.85/3.52 inference('sup+', [status(thm)], [zip_derived_cl314, zip_derived_cl8])).
% 19.85/3.52 thf(zip_derived_cl8, plain,
% 19.85/3.52 (![X0 : $i]: ((join @ X0 @ (complement @ X0)) = (one))),
% 19.85/3.52 inference('cnf', [status(esa)], [complement_join])).
% 19.85/3.52 thf(zip_derived_cl2, plain,
% 19.85/3.52 (![X0 : $i, X1 : $i]: ((meet @ X0 @ (join @ X0 @ X1)) = (X0))),
% 19.85/3.52 inference('cnf', [status(esa)], [absorption1])).
% 19.85/3.52 thf(zip_derived_cl15, plain, (![X0 : $i]: ((meet @ X0 @ one) = (X0))),
% 19.85/3.52 inference('sup+', [status(thm)], [zip_derived_cl8, zip_derived_cl2])).
% 19.85/3.52 thf(zip_derived_cl4, plain,
% 19.85/3.52 (![X0 : $i, X1 : $i]: ((meet @ X1 @ X0) = (meet @ X0 @ X1))),
% 19.85/3.52 inference('cnf', [status(esa)], [commutativity_of_meet])).
% 19.85/3.52 thf(zip_derived_cl26, plain, (![X0 : $i]: ((X0) = (meet @ one @ X0))),
% 19.85/3.52 inference('sup+', [status(thm)], [zip_derived_cl15, zip_derived_cl4])).
% 19.85/3.52 thf(zip_derived_cl3, plain,
% 19.85/3.52 (![X0 : $i, X1 : $i]: ((join @ X0 @ (meet @ X0 @ X1)) = (X0))),
% 19.85/3.52 inference('cnf', [status(esa)], [absorption2])).
% 19.85/3.52 thf(zip_derived_cl135, plain, (![X0 : $i]: ((join @ one @ X0) = (one))),
% 19.85/3.52 inference('sup+', [status(thm)], [zip_derived_cl26, zip_derived_cl3])).
% 19.85/3.52 thf(zip_derived_cl5, plain,
% 19.85/3.52 (![X0 : $i, X1 : $i]: ((join @ X1 @ X0) = (join @ X0 @ X1))),
% 19.85/3.52 inference('cnf', [status(esa)], [commutativity_of_join])).
% 19.85/3.52 thf(zip_derived_cl185, plain, (![X0 : $i]: ((join @ X0 @ one) = (one))),
% 19.85/3.52 inference('sup+', [status(thm)], [zip_derived_cl135, zip_derived_cl5])).
% 19.85/3.52 thf(zip_derived_cl8488, plain,
% 19.85/3.52 ((((zero) != (zero))
% 19.85/3.52 | ((one) != (one))
% 19.85/3.52 | ((complement @ (join @ (complement @ b) @ (complement @ a))) = (a)))),
% 19.85/3.52 inference('demod', [status(thm)],
% 19.85/3.52 [zip_derived_cl8454, zip_derived_cl7, zip_derived_cl327,
% 19.85/3.52 zip_derived_cl185])).
% 19.85/3.52 thf(zip_derived_cl8489, plain,
% 19.85/3.52 (((complement @ (join @ (complement @ b) @ (complement @ a))) = (a))),
% 19.85/3.52 inference('simplify', [status(thm)], [zip_derived_cl8488])).
% 19.85/3.52 thf(zip_derived_cl314, plain,
% 19.85/3.52 (![X0 : $i]: ((complement @ (complement @ X0)) = (X0))),
% 19.85/3.52 inference('simplify', [status(thm)], [zip_derived_cl313])).
% 19.85/3.52 thf(zip_derived_cl8518, plain,
% 19.85/3.52 (((complement @ a) = (join @ (complement @ b) @ (complement @ a)))),
% 19.85/3.52 inference('sup+', [status(thm)], [zip_derived_cl8489, zip_derived_cl314])).
% 19.85/3.52 thf(prove_distributivity, conjecture,
% 19.85/3.52 (( join @ ( complement @ b ) @ ( complement @ a ) ) = ( complement @ a ))).
% 19.85/3.52 thf(zf_stmt_0, negated_conjecture,
% 19.85/3.53 (( join @ ( complement @ b ) @ ( complement @ a ) ) != ( complement @ a )),
% 19.85/3.53 inference('cnf.neg', [status(esa)], [prove_distributivity])).
% 19.85/3.53 thf(zip_derived_cl13, plain,
% 19.85/3.53 (((join @ (complement @ b) @ (complement @ a)) != (complement @ a))),
% 19.85/3.53 inference('cnf', [status(esa)], [zf_stmt_0])).
% 19.85/3.53 thf(zip_derived_cl8528, plain, ($false),
% 19.85/3.53 inference('simplify_reflect-', [status(thm)],
% 19.85/3.53 [zip_derived_cl8518, zip_derived_cl13])).
% 19.85/3.53
% 19.85/3.53 % SZS output end Refutation
% 19.85/3.53
% 19.85/3.53
% 19.85/3.53 % Terminating...
% 20.50/3.58 % Runner terminated.
% 20.50/3.59 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------