TSTP Solution File: LAT005-5 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : LAT005-5 : TPTP v8.1.2. Released v1.1.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.2qOmeMdVpz true
% Computer : n023.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 06:45:38 EDT 2023
% Result : Unsatisfiable 110.29s 16.36s
% Output : Refutation 110.29s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : LAT005-5 : TPTP v8.1.2. Released v1.1.0.
% 0.07/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.2qOmeMdVpz true
% 0.13/0.34 % Computer : n023.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Thu Aug 24 06:35:57 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % Running portfolio for 300 s
% 0.13/0.34 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.35 % Number of cores: 8
% 0.13/0.35 % Python version: Python 3.6.8
% 0.13/0.35 % Running in FO mode
% 0.53/0.65 % Total configuration time : 435
% 0.53/0.65 % Estimated wc time : 1092
% 0.53/0.65 % Estimated cpu time (7 cpus) : 156.0
% 0.54/0.69 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.54/0.70 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.54/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.54/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.55/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.55/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.55/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 110.29/16.36 % Solved by fo/fo13.sh.
% 110.29/16.36 % done 33166 iterations in 15.585s
% 110.29/16.36 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 110.29/16.36 % SZS output start Refutation
% 110.29/16.36 thf(join_type, type, join: $i > $i > $i > $o).
% 110.29/16.36 thf(r1_type, type, r1: $i).
% 110.29/16.36 thf(r2_type, type, r2: $i).
% 110.29/16.36 thf(a_type, type, a: $i).
% 110.29/16.36 thf(meet_of_type, type, meet_of: $i > $i > $i).
% 110.29/16.36 thf(c2_type, type, c2: $i).
% 110.29/16.36 thf(b_type, type, b: $i).
% 110.29/16.36 thf(b2_type, type, b2: $i).
% 110.29/16.36 thf(c_type, type, c: $i).
% 110.29/16.36 thf(meet_type, type, meet: $i > $i > $i > $o).
% 110.29/16.36 thf(e_type, type, e: $i).
% 110.29/16.36 thf(a2_type, type, a2: $i).
% 110.29/16.36 thf(d_type, type, d: $i).
% 110.29/16.36 thf(n0_type, type, n0: $i).
% 110.29/16.36 thf(meet_r2_and_b, conjecture, (~( meet @ r2 @ b @ e ))).
% 110.29/16.36 thf(zf_stmt_0, negated_conjecture, (meet @ r2 @ b @ e),
% 110.29/16.36 inference('cnf.neg', [status(esa)], [meet_r2_and_b])).
% 110.29/16.36 thf(zip_derived_cl23, plain, ( (meet @ r2 @ b @ e)),
% 110.29/16.36 inference('cnf', [status(esa)], [zf_stmt_0])).
% 110.29/16.36 thf(join_a_and_b, conjecture, (~( join @ a @ b @ c2 ))).
% 110.29/16.36 thf(zf_stmt_1, negated_conjecture, (join @ a @ b @ c2),
% 110.29/16.36 inference('cnf.neg', [status(esa)], [join_a_and_b])).
% 110.29/16.36 thf(zip_derived_cl24, plain, ( (join @ a @ b @ c2)),
% 110.29/16.36 inference('cnf', [status(esa)], [zf_stmt_1])).
% 110.29/16.36 thf(commutativity_of_join, axiom,
% 110.29/16.36 (( ~( join @ X @ Y @ Z ) ) | ( join @ Y @ X @ Z ))).
% 110.29/16.36 thf(zip_derived_cl7, plain,
% 110.29/16.36 (![X0 : $i, X1 : $i, X2 : $i]:
% 110.29/16.36 (~ (join @ X0 @ X1 @ X2) | (join @ X1 @ X0 @ X2))),
% 110.29/16.36 inference('cnf', [status(esa)], [commutativity_of_join])).
% 110.29/16.36 thf(zip_derived_cl64, plain, ( (join @ b @ a @ c2)),
% 110.29/16.36 inference('s_sup-', [status(thm)], [zip_derived_cl24, zip_derived_cl7])).
% 110.29/16.36 thf(absorbtion2, axiom, (( ~( join @ X @ Y @ Z ) ) | ( meet @ X @ Z @ X ))).
% 110.29/16.36 thf(zip_derived_cl9, plain,
% 110.29/16.36 (![X0 : $i, X1 : $i, X2 : $i]:
% 110.29/16.36 (~ (join @ X0 @ X1 @ X2) | (meet @ X0 @ X2 @ X0))),
% 110.29/16.36 inference('cnf', [status(esa)], [absorbtion2])).
% 110.29/16.36 thf(zip_derived_cl101, plain, ( (meet @ b @ c2 @ b)),
% 110.29/16.36 inference('s_sup-', [status(thm)], [zip_derived_cl64, zip_derived_cl9])).
% 110.29/16.36 thf(zip_derived_cl23, plain, ( (meet @ r2 @ b @ e)),
% 110.29/16.36 inference('cnf', [status(esa)], [zf_stmt_0])).
% 110.29/16.36 thf(associativity_of_meet1, axiom,
% 110.29/16.36 (( ~( meet @ X @ Y @ Xy ) ) | ( ~( meet @ Y @ Z @ Yz ) ) |
% 110.29/16.36 ( ~( meet @ X @ Yz @ Xyz ) ) | ( meet @ Xy @ Z @ Xyz ))).
% 110.29/16.36 thf(zip_derived_cl10, plain,
% 110.29/16.36 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 110.29/16.36 (~ (meet @ X0 @ X1 @ X2)
% 110.29/16.36 | ~ (meet @ X1 @ X3 @ X4)
% 110.29/16.36 | ~ (meet @ X0 @ X4 @ X5)
% 110.29/16.36 | (meet @ X2 @ X3 @ X5))),
% 110.29/16.36 inference('cnf', [status(esa)], [associativity_of_meet1])).
% 110.29/16.36 thf(zip_derived_cl135, plain,
% 110.29/16.36 (![X0 : $i, X1 : $i, X2 : $i]:
% 110.29/16.36 (~ (meet @ b @ X1 @ X0)
% 110.29/16.36 | ~ (meet @ r2 @ X0 @ X2)
% 110.29/16.36 | (meet @ e @ X1 @ X2))),
% 110.29/16.36 inference('s_sup-', [status(thm)], [zip_derived_cl23, zip_derived_cl10])).
% 110.29/16.36 thf(zip_derived_cl856, plain,
% 110.29/16.36 (![X0 : $i]: (~ (meet @ r2 @ b @ X0) | (meet @ e @ c2 @ X0))),
% 110.29/16.36 inference('s_sup-', [status(thm)], [zip_derived_cl101, zip_derived_cl135])).
% 110.29/16.36 thf(zip_derived_cl1766, plain, ( (meet @ e @ c2 @ e)),
% 110.29/16.36 inference('s_sup-', [status(thm)], [zip_derived_cl23, zip_derived_cl856])).
% 110.29/16.36 thf(join_0_and_x, axiom, (join @ n0 @ X @ X)).
% 110.29/16.36 thf(zip_derived_cl2, plain, (![X0 : $i]: (join @ n0 @ X0 @ X0)),
% 110.29/16.36 inference('cnf', [status(esa)], [join_0_and_x])).
% 110.29/16.36 thf(zip_derived_cl7, plain,
% 110.29/16.36 (![X0 : $i, X1 : $i, X2 : $i]:
% 110.29/16.36 (~ (join @ X0 @ X1 @ X2) | (join @ X1 @ X0 @ X2))),
% 110.29/16.36 inference('cnf', [status(esa)], [commutativity_of_join])).
% 110.29/16.36 thf(zip_derived_cl63, plain, (![X0 : $i]: (join @ X0 @ n0 @ X0)),
% 110.29/16.36 inference('s_sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl7])).
% 110.29/16.36 thf(join_r1_and_e, conjecture, (~( join @ r1 @ e @ a2 ))).
% 110.29/16.36 thf(zf_stmt_2, negated_conjecture, (join @ r1 @ e @ a2),
% 110.29/16.36 inference('cnf.neg', [status(esa)], [join_r1_and_e])).
% 110.29/16.36 thf(zip_derived_cl28, plain, ( (join @ r1 @ e @ a2)),
% 110.29/16.36 inference('cnf', [status(esa)], [zf_stmt_2])).
% 110.29/16.36 thf(zip_derived_cl7, plain,
% 110.29/16.36 (![X0 : $i, X1 : $i, X2 : $i]:
% 110.29/16.36 (~ (join @ X0 @ X1 @ X2) | (join @ X1 @ X0 @ X2))),
% 110.29/16.36 inference('cnf', [status(esa)], [commutativity_of_join])).
% 110.29/16.36 thf(zip_derived_cl67, plain, ( (join @ e @ r1 @ a2)),
% 110.29/16.36 inference('s_sup-', [status(thm)], [zip_derived_cl28, zip_derived_cl7])).
% 110.29/16.36 thf(modularity2, axiom,
% 110.29/16.36 (( ~( meet @ X @ Z @ X ) ) | ( ~( join @ X @ Y @ X1 ) ) |
% 110.29/16.36 ( ~( meet @ Y @ Z @ Y1 ) ) | ( ~( join @ X @ Y1 @ Z1 ) ) |
% 110.29/16.36 ( meet @ Z @ X1 @ Z1 ))).
% 110.29/16.36 thf(zip_derived_cl15, plain,
% 110.29/16.36 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 110.29/16.36 (~ (meet @ X0 @ X1 @ X0)
% 110.29/16.36 | ~ (join @ X0 @ X2 @ X3)
% 110.29/16.36 | ~ (meet @ X2 @ X1 @ X4)
% 110.29/16.36 | ~ (join @ X0 @ X4 @ X5)
% 110.29/16.36 | (meet @ X1 @ X3 @ X5))),
% 110.29/16.36 inference('cnf', [status(esa)], [modularity2])).
% 110.29/16.36 thf(zip_derived_cl337, plain,
% 110.29/16.36 (![X0 : $i, X1 : $i, X2 : $i]:
% 110.29/16.36 (~ (meet @ e @ X0 @ e)
% 110.29/16.36 | ~ (meet @ r1 @ X0 @ X1)
% 110.29/16.36 | ~ (join @ e @ X1 @ X2)
% 110.29/16.36 | (meet @ X0 @ a2 @ X2))),
% 110.29/16.36 inference('s_sup-', [status(thm)], [zip_derived_cl67, zip_derived_cl15])).
% 110.29/16.36 thf(zip_derived_cl4470, plain,
% 110.29/16.36 (![X0 : $i]:
% 110.29/16.36 (~ (meet @ e @ X0 @ e)
% 110.29/16.36 | ~ (meet @ r1 @ X0 @ n0)
% 110.29/16.36 | (meet @ X0 @ a2 @ e))),
% 110.29/16.36 inference('s_sup-', [status(thm)], [zip_derived_cl63, zip_derived_cl337])).
% 110.29/16.36 thf(zip_derived_cl43866, plain,
% 110.29/16.36 ((~ (meet @ r1 @ c2 @ n0) | (meet @ c2 @ a2 @ e))),
% 110.29/16.36 inference('s_sup-', [status(thm)],
% 110.29/16.36 [zip_derived_cl1766, zip_derived_cl4470])).
% 110.29/16.36 thf(meet_c2_and_r1, conjecture, (~( meet @ c2 @ r1 @ n0 ))).
% 110.29/16.36 thf(zf_stmt_3, negated_conjecture, (meet @ c2 @ r1 @ n0),
% 110.29/16.36 inference('cnf.neg', [status(esa)], [meet_c2_and_r1])).
% 110.29/16.36 thf(zip_derived_cl26, plain, ( (meet @ c2 @ r1 @ n0)),
% 110.29/16.36 inference('cnf', [status(esa)], [zf_stmt_3])).
% 110.29/16.36 thf(commutativity_of_meet, axiom,
% 110.29/16.36 (( ~( meet @ X @ Y @ Z ) ) | ( meet @ Y @ X @ Z ))).
% 110.29/16.36 thf(zip_derived_cl6, plain,
% 110.29/16.36 (![X0 : $i, X1 : $i, X2 : $i]:
% 110.29/16.36 (~ (meet @ X0 @ X1 @ X2) | (meet @ X1 @ X0 @ X2))),
% 110.29/16.36 inference('cnf', [status(esa)], [commutativity_of_meet])).
% 110.29/16.36 thf(zip_derived_cl46, plain, ( (meet @ r1 @ c2 @ n0)),
% 110.29/16.36 inference('s_sup-', [status(thm)], [zip_derived_cl26, zip_derived_cl6])).
% 110.29/16.36 thf(zip_derived_cl43873, plain, ( (meet @ c2 @ a2 @ e)),
% 110.29/16.36 inference('demod', [status(thm)], [zip_derived_cl43866, zip_derived_cl46])).
% 110.29/16.36 thf(meet_total_function_1, axiom, (meet @ X @ Y @ ( meet_of @ X @ Y ))).
% 110.29/16.36 thf(zip_derived_cl16, plain,
% 110.29/16.36 (![X0 : $i, X1 : $i]: (meet @ X0 @ X1 @ (meet_of @ X0 @ X1))),
% 110.29/16.36 inference('cnf', [status(esa)], [meet_total_function_1])).
% 110.29/16.36 thf(meet_total_function_2, axiom,
% 110.29/16.36 (( ~( meet @ X @ Y @ Z1 ) ) | ( ~( meet @ X @ Y @ Z2 ) ) |
% 110.29/16.36 ( ( Z1 ) = ( Z2 ) ))).
% 110.29/16.36 thf(zip_derived_cl17, plain,
% 110.29/16.36 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 110.29/16.36 (~ (meet @ X0 @ X1 @ X2) | ~ (meet @ X0 @ X1 @ X3) | ((X2) = (X3)))),
% 110.29/16.36 inference('cnf', [status(esa)], [meet_total_function_2])).
% 110.29/16.36 thf(zip_derived_cl360, plain,
% 110.29/16.36 (![X0 : $i, X1 : $i, X2 : $i]:
% 110.29/16.36 (~ (meet @ X1 @ X0 @ X2) | ((meet_of @ X1 @ X0) = (X2)))),
% 110.29/16.36 inference('s_sup-', [status(thm)], [zip_derived_cl16, zip_derived_cl17])).
% 110.29/16.36 thf(zip_derived_cl43993, plain, (((meet_of @ c2 @ a2) = (e))),
% 110.29/16.36 inference('s_sup-', [status(thm)],
% 110.29/16.36 [zip_derived_cl43873, zip_derived_cl360])).
% 110.29/16.36 thf(zip_derived_cl16, plain,
% 110.29/16.36 (![X0 : $i, X1 : $i]: (meet @ X0 @ X1 @ (meet_of @ X0 @ X1))),
% 110.29/16.36 inference('cnf', [status(esa)], [meet_total_function_1])).
% 110.29/16.36 thf(zip_derived_cl16, plain,
% 110.29/16.36 (![X0 : $i, X1 : $i]: (meet @ X0 @ X1 @ (meet_of @ X0 @ X1))),
% 110.29/16.36 inference('cnf', [status(esa)], [meet_total_function_1])).
% 110.29/16.36 thf(zip_derived_cl24, plain, ( (join @ a @ b @ c2)),
% 110.29/16.36 inference('cnf', [status(esa)], [zf_stmt_1])).
% 110.29/16.36 thf(zip_derived_cl9, plain,
% 110.29/16.36 (![X0 : $i, X1 : $i, X2 : $i]:
% 110.29/16.36 (~ (join @ X0 @ X1 @ X2) | (meet @ X0 @ X2 @ X0))),
% 110.29/16.36 inference('cnf', [status(esa)], [absorbtion2])).
% 110.29/16.36 thf(zip_derived_cl98, plain, ( (meet @ a @ c2 @ a)),
% 110.29/16.36 inference('s_sup-', [status(thm)], [zip_derived_cl24, zip_derived_cl9])).
% 110.29/16.36 thf(zip_derived_cl10, plain,
% 110.29/16.36 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 110.29/16.36 (~ (meet @ X0 @ X1 @ X2)
% 110.29/16.36 | ~ (meet @ X1 @ X3 @ X4)
% 110.29/16.36 | ~ (meet @ X0 @ X4 @ X5)
% 110.29/16.36 | (meet @ X2 @ X3 @ X5))),
% 110.29/16.36 inference('cnf', [status(esa)], [associativity_of_meet1])).
% 110.29/16.36 thf(zip_derived_cl145, plain,
% 110.29/16.36 (![X0 : $i, X1 : $i, X2 : $i]:
% 110.29/16.36 (~ (meet @ c2 @ X1 @ X0)
% 110.29/16.36 | ~ (meet @ a @ X0 @ X2)
% 110.29/16.36 | (meet @ a @ X1 @ X2))),
% 110.29/16.36 inference('s_sup-', [status(thm)], [zip_derived_cl98, zip_derived_cl10])).
% 110.29/16.36 thf(zip_derived_cl907, plain,
% 110.29/16.36 (![X0 : $i, X1 : $i]:
% 110.29/16.36 (~ (meet @ a @ (meet_of @ c2 @ X0) @ X1) | (meet @ a @ X0 @ X1))),
% 110.29/16.36 inference('s_sup-', [status(thm)], [zip_derived_cl16, zip_derived_cl145])).
% 110.29/16.36 thf(zip_derived_cl8684, plain,
% 110.29/16.36 (![X0 : $i]: (meet @ a @ X0 @ (meet_of @ a @ (meet_of @ c2 @ X0)))),
% 110.29/16.36 inference('s_sup-', [status(thm)], [zip_derived_cl16, zip_derived_cl907])).
% 110.29/16.36 thf(zip_derived_cl127152, plain, ( (meet @ a @ a2 @ (meet_of @ a @ e))),
% 110.29/16.36 inference('s_sup+', [status(thm)],
% 110.29/16.36 [zip_derived_cl43993, zip_derived_cl8684])).
% 110.29/16.36 thf(zip_derived_cl16, plain,
% 110.29/16.36 (![X0 : $i, X1 : $i]: (meet @ X0 @ X1 @ (meet_of @ X0 @ X1))),
% 110.29/16.36 inference('cnf', [status(esa)], [meet_total_function_1])).
% 110.29/16.36 thf(zip_derived_cl23, plain, ( (meet @ r2 @ b @ e)),
% 110.29/16.36 inference('cnf', [status(esa)], [zf_stmt_0])).
% 110.29/16.36 thf(zip_derived_cl6, plain,
% 110.29/16.36 (![X0 : $i, X1 : $i, X2 : $i]:
% 110.29/16.36 (~ (meet @ X0 @ X1 @ X2) | (meet @ X1 @ X0 @ X2))),
% 110.29/16.36 inference('cnf', [status(esa)], [commutativity_of_meet])).
% 110.29/16.36 thf(zip_derived_cl45, plain, ( (meet @ b @ r2 @ e)),
% 110.29/16.36 inference('s_sup-', [status(thm)], [zip_derived_cl23, zip_derived_cl6])).
% 110.29/16.36 thf(meet_a_and_b, conjecture, (~( meet @ a @ b @ c ))).
% 110.29/16.36 thf(zf_stmt_4, negated_conjecture, (meet @ a @ b @ c),
% 110.29/16.36 inference('cnf.neg', [status(esa)], [meet_a_and_b])).
% 110.29/16.36 thf(zip_derived_cl20, plain, ( (meet @ a @ b @ c)),
% 110.29/16.36 inference('cnf', [status(esa)], [zf_stmt_4])).
% 110.29/16.36 thf(zip_derived_cl10, plain,
% 110.29/16.36 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 110.29/16.36 (~ (meet @ X0 @ X1 @ X2)
% 110.29/16.36 | ~ (meet @ X1 @ X3 @ X4)
% 110.29/16.36 | ~ (meet @ X0 @ X4 @ X5)
% 110.29/16.36 | (meet @ X2 @ X3 @ X5))),
% 110.29/16.36 inference('cnf', [status(esa)], [associativity_of_meet1])).
% 110.29/16.36 thf(zip_derived_cl129, plain,
% 110.29/16.36 (![X0 : $i, X1 : $i, X2 : $i]:
% 110.29/16.36 (~ (meet @ b @ X1 @ X0)
% 110.29/16.36 | ~ (meet @ a @ X0 @ X2)
% 110.29/16.36 | (meet @ c @ X1 @ X2))),
% 110.29/16.36 inference('s_sup-', [status(thm)], [zip_derived_cl20, zip_derived_cl10])).
% 110.29/16.36 thf(zip_derived_cl764, plain,
% 110.29/16.36 (![X0 : $i]: (~ (meet @ a @ e @ X0) | (meet @ c @ r2 @ X0))),
% 110.29/16.36 inference('s_sup-', [status(thm)], [zip_derived_cl45, zip_derived_cl129])).
% 110.29/16.36 thf(zip_derived_cl1221, plain, ( (meet @ c @ r2 @ (meet_of @ a @ e))),
% 110.29/16.36 inference('s_sup-', [status(thm)], [zip_derived_cl16, zip_derived_cl764])).
% 110.29/16.36 thf(meet_c_and_r2, conjecture, (~( meet @ c @ r2 @ n0 ))).
% 110.29/16.36 thf(zf_stmt_5, negated_conjecture, (meet @ c @ r2 @ n0),
% 110.29/16.36 inference('cnf.neg', [status(esa)], [meet_c_and_r2])).
% 110.29/16.36 thf(zip_derived_cl22, plain, ( (meet @ c @ r2 @ n0)),
% 110.29/16.36 inference('cnf', [status(esa)], [zf_stmt_5])).
% 110.29/16.36 thf(zip_derived_cl17, plain,
% 110.29/16.36 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 110.29/16.36 (~ (meet @ X0 @ X1 @ X2) | ~ (meet @ X0 @ X1 @ X3) | ((X2) = (X3)))),
% 110.29/16.36 inference('cnf', [status(esa)], [meet_total_function_2])).
% 110.29/16.36 thf(zip_derived_cl35, plain,
% 110.29/16.36 (![X0 : $i]: (~ (meet @ c @ r2 @ X0) | ((n0) = (X0)))),
% 110.29/16.36 inference('s_sup-', [status(thm)], [zip_derived_cl22, zip_derived_cl17])).
% 110.29/16.36 thf(zip_derived_cl1231, plain, (((n0) = (meet_of @ a @ e))),
% 110.29/16.36 inference('s_sup-', [status(thm)], [zip_derived_cl1221, zip_derived_cl35])).
% 110.29/16.36 thf(zip_derived_cl127168, plain, ( (meet @ a @ a2 @ n0)),
% 110.29/16.36 inference('demod', [status(thm)],
% 110.29/16.36 [zip_derived_cl127152, zip_derived_cl1231])).
% 110.29/16.36 thf(zip_derived_cl360, plain,
% 110.29/16.36 (![X0 : $i, X1 : $i, X2 : $i]:
% 110.29/16.36 (~ (meet @ X1 @ X0 @ X2) | ((meet_of @ X1 @ X0) = (X2)))),
% 110.29/16.36 inference('s_sup-', [status(thm)], [zip_derived_cl16, zip_derived_cl17])).
% 110.29/16.36 thf(zip_derived_cl127379, plain, (((meet_of @ a @ a2) = (n0))),
% 110.29/16.36 inference('s_sup-', [status(thm)],
% 110.29/16.36 [zip_derived_cl127168, zip_derived_cl360])).
% 110.29/16.36 thf(zip_derived_cl16, plain,
% 110.29/16.36 (![X0 : $i, X1 : $i]: (meet @ X0 @ X1 @ (meet_of @ X0 @ X1))),
% 110.29/16.36 inference('cnf', [status(esa)], [meet_total_function_1])).
% 110.29/16.36 thf(zip_derived_cl16, plain,
% 110.29/16.36 (![X0 : $i, X1 : $i]: (meet @ X0 @ X1 @ (meet_of @ X0 @ X1))),
% 110.29/16.36 inference('cnf', [status(esa)], [meet_total_function_1])).
% 110.29/16.36 thf(meet_r2_and_a, conjecture, (~( meet @ r2 @ a @ d ))).
% 110.29/16.36 thf(zf_stmt_6, negated_conjecture, (meet @ r2 @ a @ d),
% 110.29/16.36 inference('cnf.neg', [status(esa)], [meet_r2_and_a])).
% 110.29/16.36 thf(zip_derived_cl27, plain, ( (meet @ r2 @ a @ d)),
% 110.29/16.36 inference('cnf', [status(esa)], [zf_stmt_6])).
% 110.29/16.36 thf(zip_derived_cl10, plain,
% 110.29/16.36 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 110.29/16.36 (~ (meet @ X0 @ X1 @ X2)
% 110.29/16.36 | ~ (meet @ X1 @ X3 @ X4)
% 110.29/16.36 | ~ (meet @ X0 @ X4 @ X5)
% 110.29/16.36 | (meet @ X2 @ X3 @ X5))),
% 110.29/16.36 inference('cnf', [status(esa)], [associativity_of_meet1])).
% 110.29/16.36 thf(zip_derived_cl134, plain,
% 110.29/16.36 (![X0 : $i, X1 : $i, X2 : $i]:
% 110.29/16.36 (~ (meet @ a @ X1 @ X0)
% 110.29/16.36 | ~ (meet @ r2 @ X0 @ X2)
% 110.29/16.36 | (meet @ d @ X1 @ X2))),
% 110.29/16.36 inference('s_sup-', [status(thm)], [zip_derived_cl27, zip_derived_cl10])).
% 110.29/16.36 thf(zip_derived_cl834, plain,
% 110.29/16.36 (![X0 : $i, X1 : $i]:
% 110.29/16.36 (~ (meet @ r2 @ (meet_of @ a @ X0) @ X1) | (meet @ d @ X0 @ X1))),
% 110.29/16.36 inference('s_sup-', [status(thm)], [zip_derived_cl16, zip_derived_cl134])).
% 110.29/16.36 thf(zip_derived_cl8532, plain,
% 110.29/16.36 (![X0 : $i]: (meet @ d @ X0 @ (meet_of @ r2 @ (meet_of @ a @ X0)))),
% 110.29/16.36 inference('s_sup-', [status(thm)], [zip_derived_cl16, zip_derived_cl834])).
% 110.29/16.36 thf(zip_derived_cl127724, plain, ( (meet @ d @ a2 @ (meet_of @ r2 @ n0))),
% 110.29/16.36 inference('s_sup+', [status(thm)],
% 110.29/16.36 [zip_derived_cl127379, zip_derived_cl8532])).
% 110.29/16.36 thf(zip_derived_cl16, plain,
% 110.29/16.36 (![X0 : $i, X1 : $i]: (meet @ X0 @ X1 @ (meet_of @ X0 @ X1))),
% 110.29/16.36 inference('cnf', [status(esa)], [meet_total_function_1])).
% 110.29/16.36 thf(meet_0_and_x, axiom, (meet @ n0 @ X @ n0)).
% 110.29/16.36 thf(zip_derived_cl3, plain, (![X0 : $i]: (meet @ n0 @ X0 @ n0)),
% 110.29/16.36 inference('cnf', [status(esa)], [meet_0_and_x])).
% 110.29/16.36 thf(zip_derived_cl6, plain,
% 110.29/16.36 (![X0 : $i, X1 : $i, X2 : $i]:
% 110.29/16.36 (~ (meet @ X0 @ X1 @ X2) | (meet @ X1 @ X0 @ X2))),
% 110.29/16.36 inference('cnf', [status(esa)], [commutativity_of_meet])).
% 110.29/16.36 thf(zip_derived_cl41, plain, (![X0 : $i]: (meet @ X0 @ n0 @ n0)),
% 110.29/16.36 inference('s_sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl6])).
% 110.29/16.36 thf(zip_derived_cl17, plain,
% 110.29/16.36 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 110.29/16.36 (~ (meet @ X0 @ X1 @ X2) | ~ (meet @ X0 @ X1 @ X3) | ((X2) = (X3)))),
% 110.29/16.36 inference('cnf', [status(esa)], [meet_total_function_2])).
% 110.29/16.36 thf(zip_derived_cl556, plain,
% 110.29/16.36 (![X0 : $i, X1 : $i]: (~ (meet @ X0 @ n0 @ X1) | ((n0) = (X1)))),
% 110.29/16.36 inference('s_sup-', [status(thm)], [zip_derived_cl41, zip_derived_cl17])).
% 110.29/16.36 thf(zip_derived_cl1094, plain, (![X0 : $i]: ((n0) = (meet_of @ X0 @ n0))),
% 110.29/16.36 inference('s_sup-', [status(thm)], [zip_derived_cl16, zip_derived_cl556])).
% 110.29/16.36 thf(zip_derived_cl1094, plain, (![X0 : $i]: ((n0) = (meet_of @ X0 @ n0))),
% 110.29/16.36 inference('s_sup-', [status(thm)], [zip_derived_cl16, zip_derived_cl556])).
% 110.29/16.36 thf(zip_derived_cl28, plain, ( (join @ r1 @ e @ a2)),
% 110.29/16.36 inference('cnf', [status(esa)], [zf_stmt_2])).
% 110.29/16.36 thf(zip_derived_cl9, plain,
% 110.29/16.36 (![X0 : $i, X1 : $i, X2 : $i]:
% 110.29/16.36 (~ (join @ X0 @ X1 @ X2) | (meet @ X0 @ X2 @ X0))),
% 110.29/16.36 inference('cnf', [status(esa)], [absorbtion2])).
% 110.29/16.36 thf(zip_derived_cl106, plain, ( (meet @ r1 @ a2 @ r1)),
% 110.29/16.36 inference('s_sup-', [status(thm)], [zip_derived_cl28, zip_derived_cl9])).
% 110.29/16.36 thf(zip_derived_cl16, plain,
% 110.29/16.36 (![X0 : $i, X1 : $i]: (meet @ X0 @ X1 @ (meet_of @ X0 @ X1))),
% 110.29/16.36 inference('cnf', [status(esa)], [meet_total_function_1])).
% 110.29/16.36 thf(absorbtion1, axiom, (( ~( meet @ X @ Y @ Z ) ) | ( join @ X @ Z @ X ))).
% 110.29/16.36 thf(zip_derived_cl8, plain,
% 110.29/16.36 (![X0 : $i, X1 : $i, X2 : $i]:
% 110.29/16.36 (~ (meet @ X0 @ X1 @ X2) | (join @ X0 @ X2 @ X0))),
% 110.29/16.36 inference('cnf', [status(esa)], [absorbtion1])).
% 110.29/16.36 thf(zip_derived_cl357, plain,
% 110.29/16.36 (![X0 : $i, X1 : $i]: (join @ X1 @ (meet_of @ X1 @ X0) @ X1)),
% 110.29/16.36 inference('s_sup-', [status(thm)], [zip_derived_cl16, zip_derived_cl8])).
% 110.29/16.36 thf(join_r1_and_d, conjecture, (~( join @ r1 @ d @ b2 ))).
% 110.29/16.36 thf(zf_stmt_7, negated_conjecture, (join @ r1 @ d @ b2),
% 110.29/16.36 inference('cnf.neg', [status(esa)], [join_r1_and_d])).
% 110.29/16.36 thf(zip_derived_cl29, plain, ( (join @ r1 @ d @ b2)),
% 110.29/16.36 inference('cnf', [status(esa)], [zf_stmt_7])).
% 110.29/16.36 thf(zip_derived_cl15, plain,
% 110.29/16.36 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 110.29/16.36 (~ (meet @ X0 @ X1 @ X0)
% 110.29/16.36 | ~ (join @ X0 @ X2 @ X3)
% 110.29/16.36 | ~ (meet @ X2 @ X1 @ X4)
% 110.29/16.36 | ~ (join @ X0 @ X4 @ X5)
% 110.29/16.36 | (meet @ X1 @ X3 @ X5))),
% 110.29/16.36 inference('cnf', [status(esa)], [modularity2])).
% 110.29/16.36 thf(zip_derived_cl343, plain,
% 110.29/16.36 (![X0 : $i, X1 : $i, X2 : $i]:
% 110.29/16.36 (~ (meet @ r1 @ X0 @ r1)
% 110.29/16.36 | ~ (meet @ d @ X0 @ X1)
% 110.29/16.36 | ~ (join @ r1 @ X1 @ X2)
% 110.29/16.36 | (meet @ X0 @ b2 @ X2))),
% 110.29/16.36 inference('s_sup-', [status(thm)], [zip_derived_cl29, zip_derived_cl15])).
% 110.29/16.36 thf(zip_derived_cl4608, plain,
% 110.29/16.36 (![X0 : $i, X1 : $i]:
% 110.29/16.36 (~ (meet @ r1 @ X1 @ r1)
% 110.29/16.36 | ~ (meet @ d @ X1 @ (meet_of @ r1 @ X0))
% 110.29/16.36 | (meet @ X1 @ b2 @ r1))),
% 110.29/16.36 inference('s_sup-', [status(thm)], [zip_derived_cl357, zip_derived_cl343])).
% 110.29/16.36 thf(zip_derived_cl45433, plain,
% 110.29/16.36 (![X0 : $i]:
% 110.29/16.36 (~ (meet @ d @ a2 @ (meet_of @ r1 @ X0)) | (meet @ a2 @ b2 @ r1))),
% 110.29/16.36 inference('s_sup-', [status(thm)],
% 110.29/16.36 [zip_derived_cl106, zip_derived_cl4608])).
% 110.29/16.36 thf(meet_a2_and_b2, conjecture, (meet @ a2 @ b2 @ r1)).
% 110.29/16.36 thf(zf_stmt_8, negated_conjecture, (~( meet @ a2 @ b2 @ r1 )),
% 110.29/16.36 inference('cnf.neg', [status(esa)], [meet_a2_and_b2])).
% 110.29/16.36 thf(zip_derived_cl30, plain, (~ (meet @ a2 @ b2 @ r1)),
% 110.29/16.36 inference('cnf', [status(esa)], [zf_stmt_8])).
% 110.29/16.36 thf(zip_derived_cl45436, plain,
% 110.29/16.36 (![X0 : $i]: ~ (meet @ d @ a2 @ (meet_of @ r1 @ X0))),
% 110.29/16.36 inference('demod', [status(thm)], [zip_derived_cl45433, zip_derived_cl30])).
% 110.29/16.36 thf(zip_derived_cl45441, plain, (~ (meet @ d @ a2 @ n0)),
% 110.29/16.36 inference('s_sup-', [status(thm)],
% 110.29/16.36 [zip_derived_cl1094, zip_derived_cl45436])).
% 110.29/16.36 thf(zip_derived_cl127744, plain, ($false),
% 110.29/16.36 inference('demod', [status(thm)],
% 110.29/16.36 [zip_derived_cl127724, zip_derived_cl1094, zip_derived_cl45441])).
% 110.29/16.36
% 110.29/16.36 % SZS output end Refutation
% 110.29/16.36
% 110.29/16.36
% 110.29/16.36 % Terminating...
% 110.54/16.43 % Runner terminated.
% 110.54/16.43 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------