TSTP Solution File: LAT257-1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : LAT257-1 : 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.Bv29kTqocQ true
% Computer : n019.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 06:46:20 EDT 2023
% Result : Unsatisfiable 27.59s 4.67s
% Output : Refutation 27.59s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : LAT257-1 : TPTP v8.1.2. Released v3.1.0.
% 0.00/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.Bv29kTqocQ true
% 0.14/0.35 % Computer : n019.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % 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 07:28:43 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
% 0.22/0.66 % Total configuration time : 435
% 0.22/0.66 % Estimated wc time : 1092
% 0.22/0.66 % Estimated cpu time (7 cpus) : 156.0
% 0.22/0.71 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.22/0.72 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.22/0.74 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.22/0.76 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.22/0.76 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.22/0.76 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.22/0.76 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 27.59/4.67 % Solved by fo/fo4.sh.
% 27.59/4.67 % done 2230 iterations in 3.887s
% 27.59/4.67 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 27.59/4.67 % SZS output start Refutation
% 27.59/4.67 thf(b_type, type, b: $i).
% 27.59/4.67 thf(one_type, type, one: $i).
% 27.59/4.67 thf(join_type, type, join: $i > $i > $i).
% 27.59/4.67 thf(a_type, type, a: $i).
% 27.59/4.67 thf(zero_type, type, zero: $i).
% 27.59/4.67 thf(meet_type, type, meet: $i > $i > $i).
% 27.59/4.67 thf(complement_type, type, complement: $i > $i).
% 27.59/4.67 thf(complement_join, axiom, (( join @ X @ ( complement @ X ) ) = ( one ))).
% 27.59/4.67 thf(zip_derived_cl8, plain,
% 27.59/4.67 (![X0 : $i]: ((join @ X0 @ (complement @ X0)) = (one))),
% 27.59/4.67 inference('cnf', [status(esa)], [complement_join])).
% 27.59/4.67 thf(prove_distributivity_hypothesis, axiom, (( meet @ b @ a ) = ( a ))).
% 27.59/4.67 thf(zip_derived_cl12, plain, (((meet @ b @ a) = (a))),
% 27.59/4.67 inference('cnf', [status(esa)], [prove_distributivity_hypothesis])).
% 27.59/4.67 thf(absorption2, axiom, (( join @ X @ ( meet @ X @ Y ) ) = ( X ))).
% 27.59/4.67 thf(zip_derived_cl3, plain,
% 27.59/4.67 (![X0 : $i, X1 : $i]: ((join @ X0 @ (meet @ X0 @ X1)) = (X0))),
% 27.59/4.67 inference('cnf', [status(esa)], [absorption2])).
% 27.59/4.67 thf(zip_derived_cl29, plain, (((join @ b @ a) = (b))),
% 27.59/4.67 inference('sup+', [status(thm)], [zip_derived_cl12, zip_derived_cl3])).
% 27.59/4.67 thf(associativity_of_join, axiom,
% 27.59/4.67 (( join @ ( join @ X @ Y ) @ Z ) = ( join @ X @ ( join @ Y @ Z ) ))).
% 27.59/4.67 thf(zip_derived_cl7, plain,
% 27.59/4.67 (![X0 : $i, X1 : $i, X2 : $i]:
% 27.59/4.67 ((join @ (join @ X0 @ X1) @ X2) = (join @ X0 @ (join @ X1 @ X2)))),
% 27.59/4.67 inference('cnf', [status(esa)], [associativity_of_join])).
% 27.59/4.67 thf(zip_derived_cl180, plain,
% 27.59/4.67 (![X0 : $i]: ((join @ b @ X0) = (join @ b @ (join @ a @ X0)))),
% 27.59/4.67 inference('sup+', [status(thm)], [zip_derived_cl29, zip_derived_cl7])).
% 27.59/4.67 thf(zip_derived_cl529, plain,
% 27.59/4.67 (((join @ b @ (complement @ a)) = (join @ b @ one))),
% 27.59/4.67 inference('sup+', [status(thm)], [zip_derived_cl8, zip_derived_cl180])).
% 27.59/4.67 thf(zip_derived_cl8, plain,
% 27.59/4.67 (![X0 : $i]: ((join @ X0 @ (complement @ X0)) = (one))),
% 27.59/4.67 inference('cnf', [status(esa)], [complement_join])).
% 27.59/4.67 thf(absorption1, axiom, (( meet @ X @ ( join @ X @ Y ) ) = ( X ))).
% 27.59/4.67 thf(zip_derived_cl2, plain,
% 27.59/4.68 (![X0 : $i, X1 : $i]: ((meet @ X0 @ (join @ X0 @ X1)) = (X0))),
% 27.59/4.68 inference('cnf', [status(esa)], [absorption1])).
% 27.59/4.68 thf(zip_derived_cl15, plain, (![X0 : $i]: ((meet @ X0 @ one) = (X0))),
% 27.59/4.68 inference('sup+', [status(thm)], [zip_derived_cl8, zip_derived_cl2])).
% 27.59/4.68 thf(commutativity_of_meet, axiom, (( meet @ X @ Y ) = ( meet @ Y @ X ))).
% 27.59/4.68 thf(zip_derived_cl4, plain,
% 27.59/4.68 (![X0 : $i, X1 : $i]: ((meet @ X1 @ X0) = (meet @ X0 @ X1))),
% 27.59/4.68 inference('cnf', [status(esa)], [commutativity_of_meet])).
% 27.59/4.68 thf(zip_derived_cl18, plain, (![X0 : $i]: ((X0) = (meet @ one @ X0))),
% 27.59/4.68 inference('sup+', [status(thm)], [zip_derived_cl15, zip_derived_cl4])).
% 27.59/4.68 thf(zip_derived_cl3, plain,
% 27.59/4.68 (![X0 : $i, X1 : $i]: ((join @ X0 @ (meet @ X0 @ X1)) = (X0))),
% 27.59/4.68 inference('cnf', [status(esa)], [absorption2])).
% 27.59/4.68 thf(zip_derived_cl33, plain, (![X0 : $i]: ((join @ one @ X0) = (one))),
% 27.59/4.68 inference('sup+', [status(thm)], [zip_derived_cl18, zip_derived_cl3])).
% 27.59/4.68 thf(commutativity_of_join, axiom, (( join @ X @ Y ) = ( join @ Y @ X ))).
% 27.59/4.68 thf(zip_derived_cl5, plain,
% 27.59/4.68 (![X0 : $i, X1 : $i]: ((join @ X1 @ X0) = (join @ X0 @ X1))),
% 27.59/4.68 inference('cnf', [status(esa)], [commutativity_of_join])).
% 27.59/4.68 thf(zip_derived_cl154, plain, (![X0 : $i]: ((join @ X0 @ one) = (one))),
% 27.59/4.68 inference('sup+', [status(thm)], [zip_derived_cl33, zip_derived_cl5])).
% 27.59/4.68 thf(zip_derived_cl537, plain, (((join @ b @ (complement @ a)) = (one))),
% 27.59/4.68 inference('demod', [status(thm)], [zip_derived_cl529, zip_derived_cl154])).
% 27.59/4.68 thf(zip_derived_cl8, plain,
% 27.59/4.68 (![X0 : $i]: ((join @ X0 @ (complement @ X0)) = (one))),
% 27.59/4.68 inference('cnf', [status(esa)], [complement_join])).
% 27.59/4.68 thf(equation_H82, axiom,
% 27.59/4.68 (( meet @
% 27.59/4.68 X @
% 27.59/4.68 ( join @
% 27.59/4.68 ( meet @ Y @ ( join @ X @ Z ) ) @ ( meet @ Z @ ( join @ X @ Y ) ) ) ) =
% 27.59/4.68 ( join @ ( meet @ X @ Y ) @ ( meet @ X @ Z ) ))).
% 27.59/4.68 thf(zip_derived_cl11, plain,
% 27.59/4.68 (![X0 : $i, X1 : $i, X2 : $i]:
% 27.59/4.68 ((meet @ X0 @
% 27.59/4.68 (join @ (meet @ X1 @ (join @ X0 @ X2)) @
% 27.59/4.68 (meet @ X2 @ (join @ X0 @ X1))))
% 27.59/4.68 = (join @ (meet @ X0 @ X1) @ (meet @ X0 @ X2)))),
% 27.59/4.68 inference('cnf', [status(esa)], [equation_H82])).
% 27.59/4.68 thf(zip_derived_cl354, plain,
% 27.59/4.68 (![X0 : $i, X1 : $i]:
% 27.59/4.68 ((meet @ X1 @
% 27.59/4.68 (join @ (meet @ (complement @ X1) @ (join @ X1 @ X0)) @
% 27.59/4.68 (meet @ X0 @ one)))
% 27.59/4.68 = (join @ (meet @ X1 @ (complement @ X1)) @ (meet @ X1 @ X0)))),
% 27.59/4.68 inference('sup+', [status(thm)], [zip_derived_cl8, zip_derived_cl11])).
% 27.59/4.68 thf(zip_derived_cl15, plain, (![X0 : $i]: ((meet @ X0 @ one) = (X0))),
% 27.59/4.68 inference('sup+', [status(thm)], [zip_derived_cl8, zip_derived_cl2])).
% 27.59/4.68 thf(zip_derived_cl5, plain,
% 27.59/4.68 (![X0 : $i, X1 : $i]: ((join @ X1 @ X0) = (join @ X0 @ X1))),
% 27.59/4.68 inference('cnf', [status(esa)], [commutativity_of_join])).
% 27.59/4.68 thf(complement_meet, axiom, (( meet @ X @ ( complement @ X ) ) = ( zero ))).
% 27.59/4.68 thf(zip_derived_cl9, plain,
% 27.59/4.68 (![X0 : $i]: ((meet @ X0 @ (complement @ X0)) = (zero))),
% 27.59/4.68 inference('cnf', [status(esa)], [complement_meet])).
% 27.59/4.68 thf(zip_derived_cl9, plain,
% 27.59/4.68 (![X0 : $i]: ((meet @ X0 @ (complement @ X0)) = (zero))),
% 27.59/4.68 inference('cnf', [status(esa)], [complement_meet])).
% 27.59/4.68 thf(zip_derived_cl3, plain,
% 27.59/4.68 (![X0 : $i, X1 : $i]: ((join @ X0 @ (meet @ X0 @ X1)) = (X0))),
% 27.59/4.68 inference('cnf', [status(esa)], [absorption2])).
% 27.59/4.68 thf(zip_derived_cl27, plain, (![X0 : $i]: ((join @ X0 @ zero) = (X0))),
% 27.59/4.68 inference('sup+', [status(thm)], [zip_derived_cl9, zip_derived_cl3])).
% 27.59/4.68 thf(zip_derived_cl5, plain,
% 27.59/4.68 (![X0 : $i, X1 : $i]: ((join @ X1 @ X0) = (join @ X0 @ X1))),
% 27.59/4.68 inference('cnf', [status(esa)], [commutativity_of_join])).
% 27.59/4.68 thf(zip_derived_cl43, plain, (![X0 : $i]: ((X0) = (join @ zero @ X0))),
% 27.59/4.68 inference('sup+', [status(thm)], [zip_derived_cl27, zip_derived_cl5])).
% 27.59/4.68 thf(zip_derived_cl393, plain,
% 27.59/4.68 (![X0 : $i, X1 : $i]:
% 27.59/4.68 ((meet @ X1 @
% 27.59/4.68 (join @ X0 @ (meet @ (complement @ X1) @ (join @ X1 @ X0))))
% 27.59/4.68 = (meet @ X1 @ X0))),
% 27.59/4.68 inference('demod', [status(thm)],
% 27.59/4.68 [zip_derived_cl354, zip_derived_cl15, zip_derived_cl5,
% 27.59/4.68 zip_derived_cl9, zip_derived_cl43])).
% 27.59/4.68 thf(zip_derived_cl18829, plain,
% 27.59/4.68 (((meet @ b @ (join @ (complement @ a) @ (meet @ (complement @ b) @ one)))
% 27.59/4.68 = (meet @ b @ (complement @ a)))),
% 27.59/4.68 inference('sup+', [status(thm)], [zip_derived_cl537, zip_derived_cl393])).
% 27.59/4.68 thf(zip_derived_cl15, plain, (![X0 : $i]: ((meet @ X0 @ one) = (X0))),
% 27.59/4.68 inference('sup+', [status(thm)], [zip_derived_cl8, zip_derived_cl2])).
% 27.59/4.68 thf(zip_derived_cl18910, plain,
% 27.59/4.68 (((meet @ b @ (join @ (complement @ a) @ (complement @ b)))
% 27.59/4.68 = (meet @ b @ (complement @ a)))),
% 27.59/4.68 inference('demod', [status(thm)], [zip_derived_cl18829, zip_derived_cl15])).
% 27.59/4.68 thf(zip_derived_cl12, plain, (((meet @ b @ a) = (a))),
% 27.59/4.68 inference('cnf', [status(esa)], [prove_distributivity_hypothesis])).
% 27.59/4.68 thf(zip_derived_cl4, plain,
% 27.59/4.68 (![X0 : $i, X1 : $i]: ((meet @ X1 @ X0) = (meet @ X0 @ X1))),
% 27.59/4.68 inference('cnf', [status(esa)], [commutativity_of_meet])).
% 27.59/4.68 thf(zip_derived_cl19, plain, (((a) = (meet @ a @ b))),
% 27.59/4.68 inference('sup+', [status(thm)], [zip_derived_cl12, zip_derived_cl4])).
% 27.59/4.68 thf(associativity_of_meet, axiom,
% 27.59/4.68 (( meet @ ( meet @ X @ Y ) @ Z ) = ( meet @ X @ ( meet @ Y @ Z ) ))).
% 27.59/4.68 thf(zip_derived_cl6, plain,
% 27.59/4.68 (![X0 : $i, X1 : $i, X2 : $i]:
% 27.59/4.68 ((meet @ (meet @ X0 @ X1) @ X2) = (meet @ X0 @ (meet @ X1 @ X2)))),
% 27.59/4.68 inference('cnf', [status(esa)], [associativity_of_meet])).
% 27.59/4.68 thf(zip_derived_cl112, plain,
% 27.59/4.68 (![X0 : $i]: ((meet @ a @ X0) = (meet @ a @ (meet @ b @ X0)))),
% 27.59/4.68 inference('sup+', [status(thm)], [zip_derived_cl19, zip_derived_cl6])).
% 27.59/4.68 thf(zip_derived_cl19009, plain,
% 27.59/4.68 (((meet @ a @ (join @ (complement @ a) @ (complement @ b)))
% 27.59/4.68 = (meet @ a @ (meet @ b @ (complement @ a))))),
% 27.59/4.68 inference('sup+', [status(thm)], [zip_derived_cl18910, zip_derived_cl112])).
% 27.59/4.68 thf(zip_derived_cl19, plain, (((a) = (meet @ a @ b))),
% 27.59/4.68 inference('sup+', [status(thm)], [zip_derived_cl12, zip_derived_cl4])).
% 27.59/4.68 thf(zip_derived_cl9, plain,
% 27.59/4.68 (![X0 : $i]: ((meet @ X0 @ (complement @ X0)) = (zero))),
% 27.59/4.68 inference('cnf', [status(esa)], [complement_meet])).
% 27.59/4.68 thf(zip_derived_cl6, plain,
% 27.59/4.68 (![X0 : $i, X1 : $i, X2 : $i]:
% 27.59/4.68 ((meet @ (meet @ X0 @ X1) @ X2) = (meet @ X0 @ (meet @ X1 @ X2)))),
% 27.59/4.68 inference('cnf', [status(esa)], [associativity_of_meet])).
% 27.59/4.68 thf(zip_derived_cl101, plain,
% 27.59/4.68 (![X0 : $i, X1 : $i]:
% 27.59/4.68 ((zero) = (meet @ X1 @ (meet @ X0 @ (complement @ (meet @ X1 @ X0)))))),
% 27.59/4.68 inference('sup+', [status(thm)], [zip_derived_cl9, zip_derived_cl6])).
% 27.59/4.68 thf(zip_derived_cl4299, plain,
% 27.59/4.68 (((zero) = (meet @ a @ (meet @ b @ (complement @ a))))),
% 27.59/4.68 inference('sup+', [status(thm)], [zip_derived_cl19, zip_derived_cl101])).
% 27.59/4.68 thf(zip_derived_cl19086, plain,
% 27.59/4.68 (((meet @ a @ (join @ (complement @ a) @ (complement @ b))) = (zero))),
% 27.59/4.68 inference('demod', [status(thm)],
% 27.59/4.68 [zip_derived_cl19009, zip_derived_cl4299])).
% 27.59/4.68 thf(zip_derived_cl154, plain, (![X0 : $i]: ((join @ X0 @ one) = (one))),
% 27.59/4.68 inference('sup+', [status(thm)], [zip_derived_cl33, zip_derived_cl5])).
% 27.59/4.68 thf(meet_join_complement, axiom,
% 27.59/4.68 (( ( meet @ X @ Y ) != ( zero ) ) | ( ( join @ X @ Y ) != ( one ) ) |
% 27.59/4.68 ( ( complement @ X ) = ( Y ) ))).
% 27.59/4.68 thf(zip_derived_cl10, plain,
% 27.59/4.68 (![X0 : $i, X1 : $i]:
% 27.59/4.68 (((meet @ X0 @ X1) != (zero))
% 27.59/4.68 | ((join @ X0 @ X1) != (one))
% 27.59/4.68 | ((complement @ X0) = (X1)))),
% 27.59/4.68 inference('cnf', [status(esa)], [meet_join_complement])).
% 27.59/4.68 thf(zip_derived_cl193, plain,
% 27.59/4.68 (![X0 : $i]:
% 27.59/4.68 (((one) != (one))
% 27.59/4.68 | ((complement @ X0) = (one))
% 27.59/4.68 | ((meet @ X0 @ one) != (zero)))),
% 27.59/4.68 inference('sup-', [status(thm)], [zip_derived_cl154, zip_derived_cl10])).
% 27.59/4.68 thf(zip_derived_cl15, plain, (![X0 : $i]: ((meet @ X0 @ one) = (X0))),
% 27.59/4.68 inference('sup+', [status(thm)], [zip_derived_cl8, zip_derived_cl2])).
% 27.59/4.68 thf(zip_derived_cl198, plain,
% 27.59/4.68 (![X0 : $i]:
% 27.59/4.68 (((one) != (one)) | ((complement @ X0) = (one)) | ((X0) != (zero)))),
% 27.59/4.68 inference('demod', [status(thm)], [zip_derived_cl193, zip_derived_cl15])).
% 27.59/4.68 thf(zip_derived_cl199, plain,
% 27.59/4.68 (![X0 : $i]: (((X0) != (zero)) | ((complement @ X0) = (one)))),
% 27.59/4.68 inference('simplify', [status(thm)], [zip_derived_cl198])).
% 27.59/4.68 thf(zip_derived_cl10, plain,
% 27.59/4.68 (![X0 : $i, X1 : $i]:
% 27.59/4.68 (((meet @ X0 @ X1) != (zero))
% 27.59/4.68 | ((join @ X0 @ X1) != (one))
% 27.59/4.68 | ((complement @ X0) = (X1)))),
% 27.59/4.68 inference('cnf', [status(esa)], [meet_join_complement])).
% 27.59/4.68 thf(zip_derived_cl263, plain,
% 27.59/4.68 (![X0 : $i, X1 : $i, X2 : $i]:
% 27.59/4.68 (((join @ X2 @ X1) != (complement @ X0))
% 27.59/4.68 | ((X0) != (zero))
% 27.59/4.68 | ((complement @ X2) = (X1))
% 27.59/4.68 | ((meet @ X2 @ X1) != (zero)))),
% 27.59/4.68 inference('sup-', [status(thm)], [zip_derived_cl199, zip_derived_cl10])).
% 27.59/4.68 thf(zip_derived_cl19263, plain,
% 27.59/4.68 (![X0 : $i]:
% 27.59/4.68 (((zero) != (zero))
% 27.59/4.68 | ((complement @ a) = (join @ (complement @ a) @ (complement @ b)))
% 27.59/4.68 | ((X0) != (zero))
% 27.59/4.68 | ((join @ a @ (join @ (complement @ a) @ (complement @ b)))
% 27.59/4.68 != (complement @ X0)))),
% 27.59/4.68 inference('sup-', [status(thm)], [zip_derived_cl19086, zip_derived_cl263])).
% 27.59/4.68 thf(zip_derived_cl8, plain,
% 27.59/4.68 (![X0 : $i]: ((join @ X0 @ (complement @ X0)) = (one))),
% 27.59/4.68 inference('cnf', [status(esa)], [complement_join])).
% 27.59/4.68 thf(zip_derived_cl7, plain,
% 27.59/4.68 (![X0 : $i, X1 : $i, X2 : $i]:
% 27.59/4.68 ((join @ (join @ X0 @ X1) @ X2) = (join @ X0 @ (join @ X1 @ X2)))),
% 27.59/4.68 inference('cnf', [status(esa)], [associativity_of_join])).
% 27.59/4.68 thf(zip_derived_cl175, plain,
% 27.59/4.68 (![X0 : $i, X1 : $i]:
% 27.59/4.68 ((join @ one @ X0) = (join @ X1 @ (join @ (complement @ X1) @ X0)))),
% 27.59/4.68 inference('sup+', [status(thm)], [zip_derived_cl8, zip_derived_cl7])).
% 27.59/4.68 thf(zip_derived_cl33, plain, (![X0 : $i]: ((join @ one @ X0) = (one))),
% 27.59/4.68 inference('sup+', [status(thm)], [zip_derived_cl18, zip_derived_cl3])).
% 27.59/4.68 thf(zip_derived_cl183, plain,
% 27.59/4.68 (![X0 : $i, X1 : $i]:
% 27.59/4.68 ((one) = (join @ X1 @ (join @ (complement @ X1) @ X0)))),
% 27.59/4.68 inference('demod', [status(thm)], [zip_derived_cl175, zip_derived_cl33])).
% 27.59/4.68 thf(zip_derived_cl19349, plain,
% 27.59/4.68 (![X0 : $i]:
% 27.59/4.68 (((zero) != (zero))
% 27.59/4.68 | ((complement @ a) = (join @ (complement @ a) @ (complement @ b)))
% 27.59/4.68 | ((X0) != (zero))
% 27.59/4.68 | ((one) != (complement @ X0)))),
% 27.59/4.68 inference('demod', [status(thm)],
% 27.59/4.68 [zip_derived_cl19263, zip_derived_cl183])).
% 27.59/4.68 thf(zip_derived_cl19350, plain,
% 27.59/4.68 (![X0 : $i]:
% 27.59/4.68 (((one) != (complement @ X0))
% 27.59/4.68 | ((X0) != (zero))
% 27.59/4.68 | ((complement @ a) = (join @ (complement @ a) @ (complement @ b))))),
% 27.59/4.68 inference('simplify', [status(thm)], [zip_derived_cl19349])).
% 27.59/4.68 thf(prove_distributivity, conjecture,
% 27.59/4.68 (( join @ ( complement @ b ) @ ( complement @ a ) ) = ( complement @ a ))).
% 27.59/4.68 thf(zf_stmt_0, negated_conjecture,
% 27.59/4.68 (( join @ ( complement @ b ) @ ( complement @ a ) ) != ( complement @ a )),
% 27.59/4.68 inference('cnf.neg', [status(esa)], [prove_distributivity])).
% 27.59/4.68 thf(zip_derived_cl13, plain,
% 27.59/4.68 (((join @ (complement @ b) @ (complement @ a)) != (complement @ a))),
% 27.59/4.68 inference('cnf', [status(esa)], [zf_stmt_0])).
% 27.59/4.68 thf(zip_derived_cl5, plain,
% 27.59/4.68 (![X0 : $i, X1 : $i]: ((join @ X1 @ X0) = (join @ X0 @ X1))),
% 27.59/4.68 inference('cnf', [status(esa)], [commutativity_of_join])).
% 27.59/4.68 thf(zip_derived_cl38, plain,
% 27.59/4.68 (((join @ (complement @ a) @ (complement @ b)) != (complement @ a))),
% 27.59/4.68 inference('demod', [status(thm)], [zip_derived_cl13, zip_derived_cl5])).
% 27.59/4.68 thf(zip_derived_cl19351, plain,
% 27.59/4.68 (![X0 : $i]: (((one) != (complement @ X0)) | ((X0) != (zero)))),
% 27.59/4.68 inference('simplify_reflect-', [status(thm)],
% 27.59/4.68 [zip_derived_cl19350, zip_derived_cl38])).
% 27.59/4.68 thf(zip_derived_cl199, plain,
% 27.59/4.68 (![X0 : $i]: (((X0) != (zero)) | ((complement @ X0) = (one)))),
% 27.59/4.68 inference('simplify', [status(thm)], [zip_derived_cl198])).
% 27.59/4.68 thf(zip_derived_cl20438, plain, (![X0 : $i]: ((X0) != (zero))),
% 27.59/4.68 inference('clc', [status(thm)], [zip_derived_cl19351, zip_derived_cl199])).
% 27.59/4.68 thf(zip_derived_cl20441, plain, ($false),
% 27.59/4.68 inference('eq_res', [status(thm)], [zip_derived_cl20438])).
% 27.59/4.68
% 27.59/4.68 % SZS output end Refutation
% 27.59/4.68
% 27.59/4.68
% 27.59/4.68 % Terminating...
% 28.67/4.77 % Runner terminated.
% 28.67/4.79 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------