TSTP Solution File: LAT005-6 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : LAT005-6 : TPTP v8.1.2. Released v1.1.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.0ZEDtF7oLb true
% Computer : n003.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 171.34s 25.33s
% Output : Refutation 171.34s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : LAT005-6 : TPTP v8.1.2. Released v1.1.0.
% 0.12/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.0ZEDtF7oLb true
% 0.15/0.36 % Computer : n003.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Thu Aug 24 08:07:22 EDT 2023
% 0.15/0.36 % CPUTime :
% 0.15/0.36 % Running portfolio for 300 s
% 0.15/0.36 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.22/0.36 % Number of cores: 8
% 0.22/0.36 % Python version: Python 3.6.8
% 0.22/0.37 % 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
% 0.23/0.74 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.23/0.74 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.23/0.74 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.23/0.78 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.23/0.78 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.23/0.78 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.23/0.78 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 171.34/25.33 % Solved by fo/fo3_bce.sh.
% 171.34/25.33 % BCE start: 37
% 171.34/25.33 % BCE eliminated: 0
% 171.34/25.33 % PE start: 37
% 171.34/25.33 logic: eq
% 171.34/25.33 % PE eliminated: 0
% 171.34/25.33 % done 26790 iterations in 24.556s
% 171.34/25.33 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 171.34/25.33 % SZS output start Refutation
% 171.34/25.33 thf(join_type, type, join: $i > $i > $i > $o).
% 171.34/25.33 thf(c_type, type, c: $i).
% 171.34/25.33 thf(d_type, type, d: $i).
% 171.34/25.33 thf(meet_of_type, type, meet_of: $i > $i > $i).
% 171.34/25.33 thf(e_type, type, e: $i).
% 171.34/25.33 thf(a_type, type, a: $i).
% 171.34/25.33 thf(c2_type, type, c2: $i).
% 171.34/25.33 thf(meet_type, type, meet: $i > $i > $i > $o).
% 171.34/25.33 thf(r1_type, type, r1: $i).
% 171.34/25.33 thf(join_of_type, type, join_of: $i > $i > $i).
% 171.34/25.33 thf(r2_type, type, r2: $i).
% 171.34/25.33 thf(a2_type, type, a2: $i).
% 171.34/25.33 thf(b_type, type, b: $i).
% 171.34/25.33 thf(b2_type, type, b2: $i).
% 171.34/25.33 thf(n0_type, type, n0: $i).
% 171.34/25.33 thf(meet_c2_and_r1, conjecture, (~( meet @ c2 @ r1 @ n0 ))).
% 171.34/25.33 thf(zf_stmt_0, negated_conjecture, (meet @ c2 @ r1 @ n0),
% 171.34/25.33 inference('cnf.neg', [status(esa)], [meet_c2_and_r1])).
% 171.34/25.33 thf(zip_derived_cl32, plain, ( (meet @ c2 @ r1 @ n0)),
% 171.34/25.33 inference('cnf', [status(esa)], [zf_stmt_0])).
% 171.34/25.33 thf(commutativity_of_meet, axiom,
% 171.34/25.33 (( ~( meet @ X @ Y @ Z ) ) | ( meet @ Y @ X @ Z ))).
% 171.34/25.33 thf(zip_derived_cl6, plain,
% 171.34/25.33 (![X0 : $i, X1 : $i, X2 : $i]:
% 171.34/25.33 (~ (meet @ X0 @ X1 @ X2) | (meet @ X1 @ X0 @ X2))),
% 171.34/25.33 inference('cnf', [status(esa)], [commutativity_of_meet])).
% 171.34/25.33 thf(zip_derived_cl187, plain, ( (meet @ r1 @ c2 @ n0)),
% 171.34/25.33 inference('sup-', [status(thm)], [zip_derived_cl32, zip_derived_cl6])).
% 171.34/25.33 thf(join_total_function_1, axiom, (join @ X @ Y @ ( join_of @ X @ Y ))).
% 171.34/25.33 thf(zip_derived_cl18, plain,
% 171.34/25.33 (![X0 : $i, X1 : $i]: (join @ X0 @ X1 @ (join_of @ X0 @ X1))),
% 171.34/25.33 inference('cnf', [status(esa)], [join_total_function_1])).
% 171.34/25.33 thf(join_r1_and_e, conjecture, (~( join @ r1 @ e @ a2 ))).
% 171.34/25.33 thf(zf_stmt_1, negated_conjecture, (join @ r1 @ e @ a2),
% 171.34/25.33 inference('cnf.neg', [status(esa)], [join_r1_and_e])).
% 171.34/25.33 thf(zip_derived_cl34, plain, ( (join @ r1 @ e @ a2)),
% 171.34/25.33 inference('cnf', [status(esa)], [zf_stmt_1])).
% 171.34/25.33 thf(commutativity_of_join, axiom,
% 171.34/25.33 (( ~( join @ X @ Y @ Z ) ) | ( join @ Y @ X @ Z ))).
% 171.34/25.33 thf(zip_derived_cl7, plain,
% 171.34/25.33 (![X0 : $i, X1 : $i, X2 : $i]:
% 171.34/25.33 (~ (join @ X0 @ X1 @ X2) | (join @ X1 @ X0 @ X2))),
% 171.34/25.33 inference('cnf', [status(esa)], [commutativity_of_join])).
% 171.34/25.33 thf(zip_derived_cl197, plain, ( (join @ e @ r1 @ a2)),
% 171.34/25.33 inference('sup-', [status(thm)], [zip_derived_cl34, zip_derived_cl7])).
% 171.34/25.33 thf(modularity2, axiom,
% 171.34/25.33 (( ~( meet @ X @ Z @ X ) ) | ( ~( join @ X @ Y @ X1 ) ) |
% 171.34/25.33 ( ~( meet @ Y @ Z @ Y1 ) ) | ( ~( join @ X @ Y1 @ Z1 ) ) |
% 171.34/25.33 ( meet @ Z @ X1 @ Z1 ))).
% 171.34/25.33 thf(zip_derived_cl15, plain,
% 171.34/25.33 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 171.34/25.33 (~ (meet @ X0 @ X1 @ X0)
% 171.34/25.33 | ~ (join @ X0 @ X2 @ X3)
% 171.34/25.33 | ~ (meet @ X2 @ X1 @ X4)
% 171.34/25.33 | ~ (join @ X0 @ X4 @ X5)
% 171.34/25.33 | (meet @ X1 @ X3 @ X5))),
% 171.34/25.33 inference('cnf', [status(esa)], [modularity2])).
% 171.34/25.33 thf(zip_derived_cl462, plain,
% 171.34/25.33 (![X0 : $i, X1 : $i, X2 : $i]:
% 171.34/25.33 ( (meet @ X1 @ a2 @ X0)
% 171.34/25.33 | ~ (join @ e @ X2 @ X0)
% 171.34/25.33 | ~ (meet @ r1 @ X1 @ X2)
% 171.34/25.33 | ~ (meet @ e @ X1 @ e))),
% 171.34/25.33 inference('sup-', [status(thm)], [zip_derived_cl197, zip_derived_cl15])).
% 171.34/25.33 thf(zip_derived_cl5499, plain,
% 171.34/25.33 (![X0 : $i, X1 : $i]:
% 171.34/25.33 (~ (meet @ e @ X1 @ e)
% 171.34/25.33 | ~ (meet @ r1 @ X1 @ X0)
% 171.34/25.33 | (meet @ X1 @ a2 @ (join_of @ e @ X0)))),
% 171.34/25.33 inference('sup-', [status(thm)], [zip_derived_cl18, zip_derived_cl462])).
% 171.34/25.33 thf(zip_derived_cl251451, plain,
% 171.34/25.33 (( (meet @ c2 @ a2 @ (join_of @ e @ n0)) | ~ (meet @ e @ c2 @ e))),
% 171.34/25.33 inference('sup-', [status(thm)], [zip_derived_cl187, zip_derived_cl5499])).
% 171.34/25.33 thf(join_x_and_0, axiom, (join @ X @ n0 @ X)).
% 171.34/25.33 thf(zip_derived_cl21, plain, (![X0 : $i]: (join @ X0 @ n0 @ X0)),
% 171.34/25.33 inference('cnf', [status(esa)], [join_x_and_0])).
% 171.34/25.33 thf(join_total_function_2, axiom,
% 171.34/25.33 (( ~( join @ X @ Y @ Z1 ) ) | ( ~( join @ X @ Y @ Z2 ) ) |
% 171.34/25.33 ( ( Z1 ) = ( Z2 ) ))).
% 171.34/25.33 thf(zip_derived_cl19, plain,
% 171.34/25.33 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 171.34/25.33 (~ (join @ X0 @ X1 @ X2) | ~ (join @ X0 @ X1 @ X3) | ((X2) = (X3)))),
% 171.34/25.33 inference('cnf', [status(esa)], [join_total_function_2])).
% 171.34/25.33 thf(zip_derived_cl360, plain,
% 171.34/25.33 (![X0 : $i, X1 : $i]: (((X0) = (X1)) | ~ (join @ X0 @ n0 @ X1))),
% 171.34/25.33 inference('sup-', [status(thm)], [zip_derived_cl21, zip_derived_cl19])).
% 171.34/25.33 thf(zip_derived_cl18, plain,
% 171.34/25.33 (![X0 : $i, X1 : $i]: (join @ X0 @ X1 @ (join_of @ X0 @ X1))),
% 171.34/25.33 inference('cnf', [status(esa)], [join_total_function_1])).
% 171.34/25.33 thf(zip_derived_cl2848, plain, (![X0 : $i]: ((X0) = (join_of @ X0 @ n0))),
% 171.34/25.33 inference('sup+', [status(thm)], [zip_derived_cl360, zip_derived_cl18])).
% 171.34/25.33 thf(join_a_and_b, conjecture, (~( join @ a @ b @ c2 ))).
% 171.34/25.33 thf(zf_stmt_2, negated_conjecture, (join @ a @ b @ c2),
% 171.34/25.33 inference('cnf.neg', [status(esa)], [join_a_and_b])).
% 171.34/25.33 thf(zip_derived_cl30, plain, ( (join @ a @ b @ c2)),
% 171.34/25.33 inference('cnf', [status(esa)], [zf_stmt_2])).
% 171.34/25.33 thf(zip_derived_cl7, plain,
% 171.34/25.33 (![X0 : $i, X1 : $i, X2 : $i]:
% 171.34/25.33 (~ (join @ X0 @ X1 @ X2) | (join @ X1 @ X0 @ X2))),
% 171.34/25.33 inference('cnf', [status(esa)], [commutativity_of_join])).
% 171.34/25.33 thf(zip_derived_cl194, plain, ( (join @ b @ a @ c2)),
% 171.34/25.33 inference('sup-', [status(thm)], [zip_derived_cl30, zip_derived_cl7])).
% 171.34/25.33 thf(absorbtion1, axiom, (( ~( meet @ X @ Y @ Z ) ) | ( join @ X @ Z @ X ))).
% 171.34/25.33 thf(zip_derived_cl8, plain,
% 171.34/25.33 (![X0 : $i, X1 : $i, X2 : $i]:
% 171.34/25.33 (~ (meet @ X0 @ X1 @ X2) | (join @ X0 @ X2 @ X0))),
% 171.34/25.33 inference('cnf', [status(esa)], [absorbtion1])).
% 171.34/25.33 thf(meet_r2_and_b, conjecture, (~( meet @ r2 @ b @ e ))).
% 171.34/25.33 thf(zf_stmt_3, negated_conjecture, (meet @ r2 @ b @ e),
% 171.34/25.33 inference('cnf.neg', [status(esa)], [meet_r2_and_b])).
% 171.34/25.33 thf(zip_derived_cl29, plain, ( (meet @ r2 @ b @ e)),
% 171.34/25.33 inference('cnf', [status(esa)], [zf_stmt_3])).
% 171.34/25.33 thf(zip_derived_cl6, plain,
% 171.34/25.33 (![X0 : $i, X1 : $i, X2 : $i]:
% 171.34/25.33 (~ (meet @ X0 @ X1 @ X2) | (meet @ X1 @ X0 @ X2))),
% 171.34/25.33 inference('cnf', [status(esa)], [commutativity_of_meet])).
% 171.34/25.33 thf(zip_derived_cl186, plain, ( (meet @ b @ r2 @ e)),
% 171.34/25.33 inference('sup-', [status(thm)], [zip_derived_cl29, zip_derived_cl6])).
% 171.34/25.33 thf(zip_derived_cl212, plain, ( (join @ b @ e @ b)),
% 171.34/25.33 inference('sup+', [status(thm)], [zip_derived_cl8, zip_derived_cl186])).
% 171.34/25.33 thf(zip_derived_cl7, plain,
% 171.34/25.33 (![X0 : $i, X1 : $i, X2 : $i]:
% 171.34/25.33 (~ (join @ X0 @ X1 @ X2) | (join @ X1 @ X0 @ X2))),
% 171.34/25.33 inference('cnf', [status(esa)], [commutativity_of_join])).
% 171.34/25.33 thf(zip_derived_cl328, plain, ( (join @ e @ b @ b)),
% 171.34/25.33 inference('sup-', [status(thm)], [zip_derived_cl212, zip_derived_cl7])).
% 171.34/25.33 thf(associativity_of_join2, axiom,
% 171.34/25.33 (( ~( join @ X @ Y @ Xy ) ) | ( ~( join @ Y @ Z @ Yz ) ) |
% 171.34/25.33 ( ~( join @ Xy @ Z @ Xyz ) ) | ( join @ X @ Yz @ Xyz ))).
% 171.34/25.33 thf(zip_derived_cl13, plain,
% 171.34/25.33 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 171.34/25.33 (~ (join @ X0 @ X1 @ X2)
% 171.34/25.33 | ~ (join @ X1 @ X3 @ X4)
% 171.34/25.33 | ~ (join @ X2 @ X3 @ X5)
% 171.34/25.33 | (join @ X0 @ X4 @ X5))),
% 171.34/25.33 inference('cnf', [status(esa)], [associativity_of_join2])).
% 171.34/25.33 thf(zip_derived_cl681, plain,
% 171.34/25.33 (![X0 : $i, X1 : $i, X2 : $i]:
% 171.34/25.33 ( (join @ e @ X1 @ X0)
% 171.34/25.33 | ~ (join @ b @ X2 @ X0)
% 171.34/25.33 | ~ (join @ b @ X2 @ X1))),
% 171.34/25.33 inference('sup-', [status(thm)], [zip_derived_cl328, zip_derived_cl13])).
% 171.34/25.33 thf(zip_derived_cl9036, plain,
% 171.34/25.33 (![X0 : $i, X1 : $i]: (~ (join @ b @ X1 @ X0) | (join @ e @ X0 @ X0))),
% 171.34/25.33 inference('eq_fact', [status(thm)], [zip_derived_cl681])).
% 171.34/25.33 thf(zip_derived_cl9063, plain, ( (join @ e @ c2 @ c2)),
% 171.34/25.33 inference('sup-', [status(thm)], [zip_derived_cl194, zip_derived_cl9036])).
% 171.34/25.33 thf(absorbtion2, axiom, (( ~( join @ X @ Y @ Z ) ) | ( meet @ X @ Z @ X ))).
% 171.34/25.33 thf(zip_derived_cl9, plain,
% 171.34/25.33 (![X0 : $i, X1 : $i, X2 : $i]:
% 171.34/25.33 (~ (join @ X0 @ X1 @ X2) | (meet @ X0 @ X2 @ X0))),
% 171.34/25.33 inference('cnf', [status(esa)], [absorbtion2])).
% 171.34/25.33 thf(zip_derived_cl9351, plain, ( (meet @ e @ c2 @ e)),
% 171.34/25.33 inference('sup-', [status(thm)], [zip_derived_cl9063, zip_derived_cl9])).
% 171.34/25.33 thf(zip_derived_cl251478, plain, ( (meet @ c2 @ a2 @ e)),
% 171.34/25.33 inference('demod', [status(thm)],
% 171.34/25.33 [zip_derived_cl251451, zip_derived_cl2848, zip_derived_cl9351])).
% 171.34/25.33 thf(meet_c_and_r2, conjecture, (~( meet @ c @ r2 @ n0 ))).
% 171.34/25.33 thf(zf_stmt_4, negated_conjecture, (meet @ c @ r2 @ n0),
% 171.34/25.33 inference('cnf.neg', [status(esa)], [meet_c_and_r2])).
% 171.34/25.33 thf(zip_derived_cl28, plain, ( (meet @ c @ r2 @ n0)),
% 171.34/25.33 inference('cnf', [status(esa)], [zf_stmt_4])).
% 171.34/25.33 thf(meet_a_and_b, conjecture, (~( meet @ a @ b @ c ))).
% 171.34/25.33 thf(zf_stmt_5, negated_conjecture, (meet @ a @ b @ c),
% 171.34/25.33 inference('cnf.neg', [status(esa)], [meet_a_and_b])).
% 171.34/25.33 thf(zip_derived_cl26, plain, ( (meet @ a @ b @ c)),
% 171.34/25.33 inference('cnf', [status(esa)], [zf_stmt_5])).
% 171.34/25.33 thf(associativity_of_meet2, axiom,
% 171.34/25.33 (( ~( meet @ X @ Y @ Xy ) ) | ( ~( meet @ Y @ Z @ Yz ) ) |
% 171.34/25.33 ( ~( meet @ Xy @ Z @ Xyz ) ) | ( meet @ X @ Yz @ Xyz ))).
% 171.34/25.33 thf(zip_derived_cl11, plain,
% 171.34/25.33 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 171.34/25.33 (~ (meet @ X0 @ X1 @ X2)
% 171.34/25.33 | ~ (meet @ X1 @ X3 @ X4)
% 171.34/25.33 | ~ (meet @ X2 @ X3 @ X5)
% 171.34/25.33 | (meet @ X0 @ X4 @ X5))),
% 171.34/25.33 inference('cnf', [status(esa)], [associativity_of_meet2])).
% 171.34/25.33 thf(zip_derived_cl303, plain,
% 171.34/25.33 (![X0 : $i, X1 : $i, X2 : $i]:
% 171.34/25.33 ( (meet @ a @ X1 @ X0)
% 171.34/25.33 | ~ (meet @ c @ X2 @ X0)
% 171.34/25.33 | ~ (meet @ b @ X2 @ X1))),
% 171.34/25.33 inference('sup-', [status(thm)], [zip_derived_cl26, zip_derived_cl11])).
% 171.34/25.33 thf(zip_derived_cl1717, plain,
% 171.34/25.33 (![X0 : $i]: (~ (meet @ b @ r2 @ X0) | (meet @ a @ X0 @ n0))),
% 171.34/25.33 inference('sup-', [status(thm)], [zip_derived_cl28, zip_derived_cl303])).
% 171.34/25.33 thf(zip_derived_cl186, plain, ( (meet @ b @ r2 @ e)),
% 171.34/25.33 inference('sup-', [status(thm)], [zip_derived_cl29, zip_derived_cl6])).
% 171.34/25.33 thf(zip_derived_cl5363, plain, ( (meet @ a @ e @ n0)),
% 171.34/25.33 inference('sup+', [status(thm)], [zip_derived_cl1717, zip_derived_cl186])).
% 171.34/25.33 thf(zip_derived_cl30, plain, ( (join @ a @ b @ c2)),
% 171.34/25.33 inference('cnf', [status(esa)], [zf_stmt_2])).
% 171.34/25.33 thf(zip_derived_cl9, plain,
% 171.34/25.33 (![X0 : $i, X1 : $i, X2 : $i]:
% 171.34/25.33 (~ (join @ X0 @ X1 @ X2) | (meet @ X0 @ X2 @ X0))),
% 171.34/25.33 inference('cnf', [status(esa)], [absorbtion2])).
% 171.34/25.33 thf(zip_derived_cl239, plain, ( (meet @ a @ c2 @ a)),
% 171.34/25.33 inference('sup-', [status(thm)], [zip_derived_cl30, zip_derived_cl9])).
% 171.34/25.33 thf(associativity_of_meet1, axiom,
% 171.34/25.33 (( ~( meet @ X @ Y @ Xy ) ) | ( ~( meet @ Y @ Z @ Yz ) ) |
% 171.34/25.33 ( ~( meet @ X @ Yz @ Xyz ) ) | ( meet @ Xy @ Z @ Xyz ))).
% 171.34/25.33 thf(zip_derived_cl10, plain,
% 171.34/25.33 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 171.34/25.33 (~ (meet @ X0 @ X1 @ X2)
% 171.34/25.33 | ~ (meet @ X1 @ X3 @ X4)
% 171.34/25.33 | ~ (meet @ X0 @ X4 @ X5)
% 171.34/25.33 | (meet @ X2 @ X3 @ X5))),
% 171.34/25.33 inference('cnf', [status(esa)], [associativity_of_meet1])).
% 171.34/25.33 thf(zip_derived_cl435, plain,
% 171.34/25.33 (![X0 : $i, X1 : $i, X2 : $i]:
% 171.34/25.33 ( (meet @ a @ X1 @ X0)
% 171.34/25.33 | ~ (meet @ a @ X2 @ X0)
% 171.34/25.33 | ~ (meet @ c2 @ X1 @ X2))),
% 171.34/25.33 inference('sup-', [status(thm)], [zip_derived_cl239, zip_derived_cl10])).
% 171.34/25.33 thf(zip_derived_cl5387, plain,
% 171.34/25.33 (![X0 : $i]: (~ (meet @ c2 @ X0 @ e) | (meet @ a @ X0 @ n0))),
% 171.34/25.33 inference('sup-', [status(thm)], [zip_derived_cl5363, zip_derived_cl435])).
% 171.34/25.33 thf(zip_derived_cl251737, plain, ( (meet @ a @ a2 @ n0)),
% 171.34/25.33 inference('sup-', [status(thm)],
% 171.34/25.33 [zip_derived_cl251478, zip_derived_cl5387])).
% 171.34/25.33 thf(meet_x_and_0, axiom, (meet @ X @ n0 @ n0)).
% 171.34/25.33 thf(zip_derived_cl22, plain, (![X0 : $i]: (meet @ X0 @ n0 @ n0)),
% 171.34/25.33 inference('cnf', [status(esa)], [meet_x_and_0])).
% 171.34/25.33 thf(meet_r2_and_a, conjecture, (~( meet @ r2 @ a @ d ))).
% 171.34/25.33 thf(zf_stmt_6, negated_conjecture, (meet @ r2 @ a @ d),
% 171.34/25.33 inference('cnf.neg', [status(esa)], [meet_r2_and_a])).
% 171.34/25.33 thf(zip_derived_cl33, plain, ( (meet @ r2 @ a @ d)),
% 171.34/25.33 inference('cnf', [status(esa)], [zf_stmt_6])).
% 171.34/25.33 thf(zip_derived_cl10, plain,
% 171.34/25.33 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 171.34/25.33 (~ (meet @ X0 @ X1 @ X2)
% 171.34/25.33 | ~ (meet @ X1 @ X3 @ X4)
% 171.34/25.33 | ~ (meet @ X0 @ X4 @ X5)
% 171.34/25.33 | (meet @ X2 @ X3 @ X5))),
% 171.34/25.33 inference('cnf', [status(esa)], [associativity_of_meet1])).
% 171.34/25.33 thf(zip_derived_cl281, plain,
% 171.34/25.33 (![X0 : $i, X1 : $i, X2 : $i]:
% 171.34/25.33 ( (meet @ d @ X1 @ X0)
% 171.34/25.33 | ~ (meet @ r2 @ X2 @ X0)
% 171.34/25.33 | ~ (meet @ a @ X1 @ X2))),
% 171.34/25.33 inference('sup-', [status(thm)], [zip_derived_cl33, zip_derived_cl10])).
% 171.34/25.33 thf(zip_derived_cl1287, plain,
% 171.34/25.33 (![X0 : $i]: (~ (meet @ a @ X0 @ n0) | (meet @ d @ X0 @ n0))),
% 171.34/25.33 inference('sup-', [status(thm)], [zip_derived_cl22, zip_derived_cl281])).
% 171.34/25.33 thf(meet_total_function_1, axiom, (meet @ X @ Y @ ( meet_of @ X @ Y ))).
% 171.34/25.33 thf(zip_derived_cl16, plain,
% 171.34/25.33 (![X0 : $i, X1 : $i]: (meet @ X0 @ X1 @ (meet_of @ X0 @ X1))),
% 171.34/25.33 inference('cnf', [status(esa)], [meet_total_function_1])).
% 171.34/25.33 thf(meet_total_function_2, axiom,
% 171.34/25.33 (( ~( meet @ X @ Y @ Z1 ) ) | ( ~( meet @ X @ Y @ Z2 ) ) |
% 171.34/25.33 ( ( Z1 ) = ( Z2 ) ))).
% 171.34/25.33 thf(zip_derived_cl17, plain,
% 171.34/25.33 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 171.34/25.33 (~ (meet @ X0 @ X1 @ X2) | ~ (meet @ X0 @ X1 @ X3) | ((X2) = (X3)))),
% 171.34/25.33 inference('cnf', [status(esa)], [meet_total_function_2])).
% 171.34/25.33 thf(zip_derived_cl496, plain,
% 171.34/25.33 (![X0 : $i, X1 : $i, X2 : $i]:
% 171.34/25.33 (((meet_of @ X1 @ X0) = (X2)) | ~ (meet @ X1 @ X0 @ X2))),
% 171.34/25.33 inference('sup-', [status(thm)], [zip_derived_cl16, zip_derived_cl17])).
% 171.34/25.33 thf(zip_derived_cl21059, plain,
% 171.34/25.33 (![X0 : $i]: (~ (meet @ a @ X0 @ n0) | ((meet_of @ d @ X0) = (n0)))),
% 171.34/25.33 inference('sup-', [status(thm)], [zip_derived_cl1287, zip_derived_cl496])).
% 171.34/25.33 thf(zip_derived_cl252172, plain, (((meet_of @ d @ a2) = (n0))),
% 171.34/25.33 inference('sup-', [status(thm)],
% 171.34/25.33 [zip_derived_cl251737, zip_derived_cl21059])).
% 171.34/25.33 thf(zip_derived_cl16, plain,
% 171.34/25.33 (![X0 : $i, X1 : $i]: (meet @ X0 @ X1 @ (meet_of @ X0 @ X1))),
% 171.34/25.33 inference('cnf', [status(esa)], [meet_total_function_1])).
% 171.34/25.33 thf(zip_derived_cl252298, plain, ( (meet @ d @ a2 @ n0)),
% 171.34/25.33 inference('sup+', [status(thm)], [zip_derived_cl252172, zip_derived_cl16])).
% 171.34/25.33 thf(zip_derived_cl18, plain,
% 171.34/25.33 (![X0 : $i, X1 : $i]: (join @ X0 @ X1 @ (join_of @ X0 @ X1))),
% 171.34/25.33 inference('cnf', [status(esa)], [join_total_function_1])).
% 171.34/25.33 thf(join_r1_and_d, conjecture, (~( join @ r1 @ d @ b2 ))).
% 171.34/25.33 thf(zf_stmt_7, negated_conjecture, (join @ r1 @ d @ b2),
% 171.34/25.33 inference('cnf.neg', [status(esa)], [join_r1_and_d])).
% 171.34/25.33 thf(zip_derived_cl35, plain, ( (join @ r1 @ d @ b2)),
% 171.34/25.33 inference('cnf', [status(esa)], [zf_stmt_7])).
% 171.34/25.33 thf(zip_derived_cl15, plain,
% 171.34/25.33 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 171.34/25.33 (~ (meet @ X0 @ X1 @ X0)
% 171.34/25.33 | ~ (join @ X0 @ X2 @ X3)
% 171.34/25.33 | ~ (meet @ X2 @ X1 @ X4)
% 171.34/25.33 | ~ (join @ X0 @ X4 @ X5)
% 171.34/25.33 | (meet @ X1 @ X3 @ X5))),
% 171.34/25.33 inference('cnf', [status(esa)], [modularity2])).
% 171.34/25.33 thf(zip_derived_cl466, plain,
% 171.34/25.33 (![X0 : $i, X1 : $i, X2 : $i]:
% 171.34/25.33 ( (meet @ X1 @ b2 @ X0)
% 171.34/25.33 | ~ (join @ r1 @ X2 @ X0)
% 171.34/25.33 | ~ (meet @ d @ X1 @ X2)
% 171.34/25.33 | ~ (meet @ r1 @ X1 @ r1))),
% 171.34/25.33 inference('sup-', [status(thm)], [zip_derived_cl35, zip_derived_cl15])).
% 171.34/25.33 thf(zip_derived_cl5640, plain,
% 171.34/25.33 (![X0 : $i, X1 : $i]:
% 171.34/25.33 (~ (meet @ r1 @ X1 @ r1)
% 171.34/25.33 | ~ (meet @ d @ X1 @ X0)
% 171.34/25.33 | (meet @ X1 @ b2 @ (join_of @ r1 @ X0)))),
% 171.34/25.33 inference('sup-', [status(thm)], [zip_derived_cl18, zip_derived_cl466])).
% 171.34/25.33 thf(zip_derived_cl257822, plain,
% 171.34/25.33 (( (meet @ a2 @ b2 @ (join_of @ r1 @ n0)) | ~ (meet @ r1 @ a2 @ r1))),
% 171.34/25.33 inference('sup-', [status(thm)],
% 171.34/25.33 [zip_derived_cl252298, zip_derived_cl5640])).
% 171.34/25.33 thf(zip_derived_cl2848, plain, (![X0 : $i]: ((X0) = (join_of @ X0 @ n0))),
% 171.34/25.33 inference('sup+', [status(thm)], [zip_derived_cl360, zip_derived_cl18])).
% 171.34/25.33 thf(meet_a2_and_b2, conjecture, (meet @ a2 @ b2 @ r1)).
% 171.34/25.33 thf(zf_stmt_8, negated_conjecture, (~( meet @ a2 @ b2 @ r1 )),
% 171.34/25.33 inference('cnf.neg', [status(esa)], [meet_a2_and_b2])).
% 171.34/25.33 thf(zip_derived_cl36, plain, (~ (meet @ a2 @ b2 @ r1)),
% 171.34/25.33 inference('cnf', [status(esa)], [zf_stmt_8])).
% 171.34/25.33 thf(zip_derived_cl34, plain, ( (join @ r1 @ e @ a2)),
% 171.34/25.33 inference('cnf', [status(esa)], [zf_stmt_1])).
% 171.34/25.33 thf(zip_derived_cl9, plain,
% 171.34/25.33 (![X0 : $i, X1 : $i, X2 : $i]:
% 171.34/25.33 (~ (join @ X0 @ X1 @ X2) | (meet @ X0 @ X2 @ X0))),
% 171.34/25.33 inference('cnf', [status(esa)], [absorbtion2])).
% 171.34/25.33 thf(zip_derived_cl243, plain, ( (meet @ r1 @ a2 @ r1)),
% 171.34/25.33 inference('sup-', [status(thm)], [zip_derived_cl34, zip_derived_cl9])).
% 171.34/25.33 thf(zip_derived_cl257925, plain, ($false),
% 171.34/25.33 inference('demod', [status(thm)],
% 171.34/25.33 [zip_derived_cl257822, zip_derived_cl2848, zip_derived_cl36,
% 171.34/25.33 zip_derived_cl243])).
% 171.34/25.33
% 171.34/25.33 % SZS output end Refutation
% 171.34/25.33
% 171.34/25.33
% 171.34/25.33 % Terminating...
% 171.34/25.43 % Runner terminated.
% 171.34/25.44 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------