TSTP Solution File: ANA002-4 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : ANA002-4 : 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.Ycwco2yJRv 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 : Wed Aug 30 17:25:50 EDT 2023
% Result : Unsatisfiable 94.27s 14.08s
% Output : Refutation 94.27s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : ANA002-4 : TPTP v8.1.2. Released v1.1.0.
% 0.00/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.Ycwco2yJRv true
% 0.13/0.35 % Computer : n020.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Fri Aug 25 18:49:15 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % Running portfolio for 300 s
% 0.13/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.36 % Number of cores: 8
% 0.13/0.36 % Python version: Python 3.6.8
% 0.13/0.36 % 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
% 0.23/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.73/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.73/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.73/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.73/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.73/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.73/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 94.27/14.08 % Solved by fo/fo5.sh.
% 94.27/14.08 % done 5744 iterations in 13.293s
% 94.27/14.08 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 94.27/14.08 % SZS output start Refutation
% 94.27/14.08 thf(l_type, type, l: $i).
% 94.27/14.08 thf(g_type, type, g: $i > $i).
% 94.27/14.08 thf(upper_bound_type, type, upper_bound: $i).
% 94.27/14.08 thf(q_type, type, q: $i > $i > $i).
% 94.27/14.08 thf(f_type, type, f: $i > $i).
% 94.27/14.08 thf(k_type, type, k: $i > $i).
% 94.27/14.08 thf(less_than_or_equal_type, type, less_than_or_equal: $i > $i > $o).
% 94.27/14.08 thf(h_type, type, h: $i > $i).
% 94.27/14.08 thf(n0_type, type, n0: $i).
% 94.27/14.08 thf(lower_bound_type, type, lower_bound: $i).
% 94.27/14.08 thf(prove_there_is_x_which_crosses, conjecture,
% 94.27/14.08 (~( ( ~( less_than_or_equal @ n0 @ ( f @ l ) ) ) |
% 94.27/14.08 ( ~( less_than_or_equal @ ( f @ l ) @ n0 ) ) ))).
% 94.27/14.08 thf(zf_stmt_0, negated_conjecture,
% 94.27/14.08 (( ~( less_than_or_equal @ n0 @ ( f @ l ) ) ) |
% 94.27/14.08 ( ~( less_than_or_equal @ ( f @ l ) @ n0 ) )),
% 94.27/14.08 inference('cnf.neg', [status(esa)], [prove_there_is_x_which_crosses])).
% 94.27/14.08 thf(zip_derived_cl16, plain,
% 94.27/14.08 ((~ (less_than_or_equal @ n0 @ (f @ l))
% 94.27/14.08 | ~ (less_than_or_equal @ (f @ l) @ n0))),
% 94.27/14.08 inference('cnf', [status(esa)], [zf_stmt_0])).
% 94.27/14.08 thf(crossover2_and_g_function1, axiom,
% 94.27/14.08 (( less_than_or_equal @ ( g @ X ) @ upper_bound ) |
% 94.27/14.08 ( less_than_or_equal @ l @ X ))).
% 94.27/14.08 thf(zip_derived_cl10, plain,
% 94.27/14.08 (![X0 : $i]:
% 94.27/14.08 ( (less_than_or_equal @ (g @ X0) @ upper_bound)
% 94.27/14.08 | (less_than_or_equal @ l @ X0))),
% 94.27/14.08 inference('cnf', [status(esa)], [crossover2_and_g_function1])).
% 94.27/14.08 thf(crossover4_and_g_function3, axiom,
% 94.27/14.08 (( ~( less_than_or_equal @ ( g @ X ) @ X ) ) |
% 94.27/14.08 ( less_than_or_equal @ l @ X ))).
% 94.27/14.08 thf(zip_derived_cl12, plain,
% 94.27/14.08 (![X0 : $i]:
% 94.27/14.08 (~ (less_than_or_equal @ (g @ X0) @ X0)
% 94.27/14.08 | (less_than_or_equal @ l @ X0))),
% 94.27/14.08 inference('cnf', [status(esa)], [crossover4_and_g_function3])).
% 94.27/14.08 thf(zip_derived_cl17, plain,
% 94.27/14.08 (( (less_than_or_equal @ l @ upper_bound)
% 94.27/14.08 | (less_than_or_equal @ l @ upper_bound))),
% 94.27/14.08 inference('sup-', [status(thm)], [zip_derived_cl10, zip_derived_cl12])).
% 94.27/14.08 thf(zip_derived_cl18, plain, ( (less_than_or_equal @ l @ upper_bound)),
% 94.27/14.08 inference('simplify', [status(thm)], [zip_derived_cl17])).
% 94.27/14.08 thf(crossover3_and_g_function2, axiom,
% 94.27/14.08 (( less_than_or_equal @ ( f @ ( g @ X ) ) @ n0 ) |
% 94.27/14.08 ( less_than_or_equal @ l @ X ))).
% 94.27/14.08 thf(zip_derived_cl11, plain,
% 94.27/14.08 (![X0 : $i]:
% 94.27/14.08 ( (less_than_or_equal @ (f @ (g @ X0)) @ n0)
% 94.27/14.08 | (less_than_or_equal @ l @ X0))),
% 94.27/14.08 inference('cnf', [status(esa)], [crossover3_and_g_function2])).
% 94.27/14.08 thf(continuity2, axiom,
% 94.27/14.08 (( less_than_or_equal @ ( f @ X ) @ n0 ) |
% 94.27/14.08 ( ~( less_than_or_equal @ Y @ X ) ) |
% 94.27/14.08 ( ~( less_than_or_equal @ ( f @ Y ) @ n0 ) ) |
% 94.27/14.08 ( less_than_or_equal @ Y @ ( h @ X ) ) |
% 94.27/14.08 ( ~( less_than_or_equal @ lower_bound @ X ) ) |
% 94.27/14.08 ( ~( less_than_or_equal @ X @ upper_bound ) ))).
% 94.27/14.08 thf(zip_derived_cl6, plain,
% 94.27/14.08 (![X0 : $i, X1 : $i]:
% 94.27/14.08 ( (less_than_or_equal @ (f @ X0) @ n0)
% 94.27/14.08 | ~ (less_than_or_equal @ X1 @ X0)
% 94.27/14.08 | ~ (less_than_or_equal @ (f @ X1) @ n0)
% 94.27/14.08 | (less_than_or_equal @ X1 @ (h @ X0))
% 94.27/14.08 | ~ (less_than_or_equal @ lower_bound @ X0)
% 94.27/14.08 | ~ (less_than_or_equal @ X0 @ upper_bound))),
% 94.27/14.08 inference('cnf', [status(esa)], [continuity2])).
% 94.27/14.08 thf(zip_derived_cl67, plain,
% 94.27/14.08 (![X0 : $i, X1 : $i]:
% 94.27/14.08 ( (less_than_or_equal @ l @ X0)
% 94.27/14.08 | ~ (less_than_or_equal @ X1 @ upper_bound)
% 94.27/14.08 | ~ (less_than_or_equal @ lower_bound @ X1)
% 94.27/14.08 | (less_than_or_equal @ (g @ X0) @ (h @ X1))
% 94.27/14.08 | ~ (less_than_or_equal @ (g @ X0) @ X1)
% 94.27/14.08 | (less_than_or_equal @ (f @ X1) @ n0))),
% 94.27/14.08 inference('sup-', [status(thm)], [zip_derived_cl11, zip_derived_cl6])).
% 94.27/14.08 thf(zip_derived_cl1086, plain,
% 94.27/14.08 (![X0 : $i]:
% 94.27/14.08 ( (less_than_or_equal @ (f @ l) @ n0)
% 94.27/14.08 | ~ (less_than_or_equal @ (g @ X0) @ l)
% 94.27/14.08 | (less_than_or_equal @ (g @ X0) @ (h @ l))
% 94.27/14.08 | ~ (less_than_or_equal @ lower_bound @ l)
% 94.27/14.08 | (less_than_or_equal @ l @ X0))),
% 94.27/14.08 inference('sup-', [status(thm)], [zip_derived_cl18, zip_derived_cl67])).
% 94.27/14.08 thf(lower_mapping, axiom, (less_than_or_equal @ ( f @ lower_bound ) @ n0)).
% 94.27/14.08 thf(zip_derived_cl14, plain,
% 94.27/14.08 ( (less_than_or_equal @ (f @ lower_bound) @ n0)),
% 94.27/14.08 inference('cnf', [status(esa)], [lower_mapping])).
% 94.27/14.08 thf(crossover1, axiom,
% 94.27/14.08 (( less_than_or_equal @ X @ l ) |
% 94.27/14.08 ( ~( less_than_or_equal @ X @ upper_bound ) ) |
% 94.27/14.08 ( ~( less_than_or_equal @ ( f @ X ) @ n0 ) ))).
% 94.27/14.08 thf(zip_derived_cl9, plain,
% 94.27/14.08 (![X0 : $i]:
% 94.27/14.08 ( (less_than_or_equal @ X0 @ l)
% 94.27/14.08 | ~ (less_than_or_equal @ X0 @ upper_bound)
% 94.27/14.08 | ~ (less_than_or_equal @ (f @ X0) @ n0))),
% 94.27/14.08 inference('cnf', [status(esa)], [crossover1])).
% 94.27/14.08 thf(zip_derived_cl45, plain,
% 94.27/14.08 ((~ (less_than_or_equal @ lower_bound @ upper_bound)
% 94.27/14.08 | (less_than_or_equal @ lower_bound @ l))),
% 94.27/14.08 inference('sup-', [status(thm)], [zip_derived_cl14, zip_derived_cl9])).
% 94.27/14.08 thf(the_interval, axiom, (less_than_or_equal @ lower_bound @ upper_bound)).
% 94.27/14.08 thf(zip_derived_cl13, plain,
% 94.27/14.08 ( (less_than_or_equal @ lower_bound @ upper_bound)),
% 94.27/14.08 inference('cnf', [status(esa)], [the_interval])).
% 94.27/14.08 thf(zip_derived_cl46, plain, ( (less_than_or_equal @ lower_bound @ l)),
% 94.27/14.08 inference('demod', [status(thm)], [zip_derived_cl45, zip_derived_cl13])).
% 94.27/14.08 thf(zip_derived_cl1091, plain,
% 94.27/14.08 (![X0 : $i]:
% 94.27/14.08 ( (less_than_or_equal @ (f @ l) @ n0)
% 94.27/14.08 | ~ (less_than_or_equal @ (g @ X0) @ l)
% 94.27/14.08 | (less_than_or_equal @ (g @ X0) @ (h @ l))
% 94.27/14.08 | (less_than_or_equal @ l @ X0))),
% 94.27/14.08 inference('demod', [status(thm)], [zip_derived_cl1086, zip_derived_cl46])).
% 94.27/14.08 thf(zip_derived_cl11, plain,
% 94.27/14.08 (![X0 : $i]:
% 94.27/14.08 ( (less_than_or_equal @ (f @ (g @ X0)) @ n0)
% 94.27/14.08 | (less_than_or_equal @ l @ X0))),
% 94.27/14.08 inference('cnf', [status(esa)], [crossover3_and_g_function2])).
% 94.27/14.08 thf(zip_derived_cl9, plain,
% 94.27/14.08 (![X0 : $i]:
% 94.27/14.08 ( (less_than_or_equal @ X0 @ l)
% 94.27/14.08 | ~ (less_than_or_equal @ X0 @ upper_bound)
% 94.27/14.08 | ~ (less_than_or_equal @ (f @ X0) @ n0))),
% 94.27/14.08 inference('cnf', [status(esa)], [crossover1])).
% 94.27/14.08 thf(zip_derived_cl50, plain,
% 94.27/14.08 (![X0 : $i]:
% 94.27/14.08 ( (less_than_or_equal @ l @ X0)
% 94.27/14.08 | ~ (less_than_or_equal @ (g @ X0) @ upper_bound)
% 94.27/14.08 | (less_than_or_equal @ (g @ X0) @ l))),
% 94.27/14.08 inference('sup-', [status(thm)], [zip_derived_cl11, zip_derived_cl9])).
% 94.27/14.08 thf(zip_derived_cl10, plain,
% 94.27/14.08 (![X0 : $i]:
% 94.27/14.08 ( (less_than_or_equal @ (g @ X0) @ upper_bound)
% 94.27/14.08 | (less_than_or_equal @ l @ X0))),
% 94.27/14.08 inference('cnf', [status(esa)], [crossover2_and_g_function1])).
% 94.27/14.08 thf(zip_derived_cl480, plain,
% 94.27/14.08 (![X0 : $i]:
% 94.27/14.08 ( (less_than_or_equal @ (g @ X0) @ l) | (less_than_or_equal @ l @ X0))),
% 94.27/14.08 inference('clc', [status(thm)], [zip_derived_cl50, zip_derived_cl10])).
% 94.27/14.08 thf(zip_derived_cl30424, plain,
% 94.27/14.08 (![X0 : $i]:
% 94.27/14.08 ( (less_than_or_equal @ l @ X0)
% 94.27/14.08 | (less_than_or_equal @ (g @ X0) @ (h @ l))
% 94.27/14.08 | (less_than_or_equal @ (f @ l) @ n0))),
% 94.27/14.08 inference('clc', [status(thm)], [zip_derived_cl1091, zip_derived_cl480])).
% 94.27/14.08 thf(zip_derived_cl12, plain,
% 94.27/14.08 (![X0 : $i]:
% 94.27/14.08 (~ (less_than_or_equal @ (g @ X0) @ X0)
% 94.27/14.08 | (less_than_or_equal @ l @ X0))),
% 94.27/14.08 inference('cnf', [status(esa)], [crossover4_and_g_function3])).
% 94.27/14.08 thf(zip_derived_cl30456, plain,
% 94.27/14.08 (( (less_than_or_equal @ (f @ l) @ n0)
% 94.27/14.08 | (less_than_or_equal @ l @ (h @ l))
% 94.27/14.08 | (less_than_or_equal @ l @ (h @ l)))),
% 94.27/14.08 inference('sup-', [status(thm)], [zip_derived_cl30424, zip_derived_cl12])).
% 94.27/14.08 thf(zip_derived_cl30570, plain,
% 94.27/14.08 (( (less_than_or_equal @ l @ (h @ l))
% 94.27/14.08 | (less_than_or_equal @ (f @ l) @ n0))),
% 94.27/14.08 inference('simplify', [status(thm)], [zip_derived_cl30456])).
% 94.27/14.08 thf(totality_of_less, axiom,
% 94.27/14.08 (( less_than_or_equal @ X @ Y ) | ( less_than_or_equal @ Y @ X ))).
% 94.27/14.08 thf(zip_derived_cl1, plain,
% 94.27/14.08 (![X0 : $i, X1 : $i]:
% 94.27/14.08 ( (less_than_or_equal @ X0 @ X1) | (less_than_or_equal @ X1 @ X0))),
% 94.27/14.08 inference('cnf', [status(esa)], [totality_of_less])).
% 94.27/14.08 thf(transitivity_of_less, axiom,
% 94.27/14.08 (( less_than_or_equal @ X @ Z ) | ( ~( less_than_or_equal @ X @ Y ) ) |
% 94.27/14.08 ( ~( less_than_or_equal @ Y @ Z ) ))).
% 94.27/14.08 thf(zip_derived_cl2, plain,
% 94.27/14.08 (![X0 : $i, X1 : $i, X2 : $i]:
% 94.27/14.08 ( (less_than_or_equal @ X0 @ X1)
% 94.27/14.08 | ~ (less_than_or_equal @ X0 @ X2)
% 94.27/14.08 | ~ (less_than_or_equal @ X2 @ X1))),
% 94.27/14.08 inference('cnf', [status(esa)], [transitivity_of_less])).
% 94.27/14.08 thf(zip_derived_cl24, plain,
% 94.27/14.08 (![X0 : $i, X1 : $i, X2 : $i]:
% 94.27/14.08 ( (less_than_or_equal @ X0 @ X1)
% 94.27/14.08 | ~ (less_than_or_equal @ X0 @ X2)
% 94.27/14.08 | (less_than_or_equal @ X1 @ X2))),
% 94.27/14.08 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl2])).
% 94.27/14.08 thf(zip_derived_cl30829, plain,
% 94.27/14.08 (![X0 : $i]:
% 94.27/14.08 ( (less_than_or_equal @ l @ (h @ l))
% 94.27/14.08 | (less_than_or_equal @ X0 @ n0)
% 94.27/14.08 | (less_than_or_equal @ (f @ l) @ X0))),
% 94.27/14.08 inference('sup-', [status(thm)], [zip_derived_cl30570, zip_derived_cl24])).
% 94.27/14.08 thf(continuity1, axiom,
% 94.27/14.08 (( less_than_or_equal @ ( f @ X ) @ n0 ) |
% 94.27/14.08 ( ~( less_than_or_equal @ X @ ( h @ X ) ) ) |
% 94.27/14.08 ( ~( less_than_or_equal @ lower_bound @ X ) ) |
% 94.27/14.08 ( ~( less_than_or_equal @ X @ upper_bound ) ))).
% 94.27/14.08 thf(zip_derived_cl5, plain,
% 94.27/14.08 (![X0 : $i]:
% 94.27/14.08 ( (less_than_or_equal @ (f @ X0) @ n0)
% 94.27/14.08 | ~ (less_than_or_equal @ X0 @ (h @ X0))
% 94.27/14.08 | ~ (less_than_or_equal @ lower_bound @ X0)
% 94.27/14.08 | ~ (less_than_or_equal @ X0 @ upper_bound))),
% 94.27/14.08 inference('cnf', [status(esa)], [continuity1])).
% 94.27/14.08 thf(zip_derived_cl34782, plain,
% 94.27/14.08 (![X0 : $i]:
% 94.27/14.08 ( (less_than_or_equal @ (f @ l) @ X0)
% 94.27/14.08 | (less_than_or_equal @ X0 @ n0)
% 94.27/14.08 | ~ (less_than_or_equal @ l @ upper_bound)
% 94.27/14.08 | ~ (less_than_or_equal @ lower_bound @ l)
% 94.27/14.08 | (less_than_or_equal @ (f @ l) @ n0))),
% 94.27/14.08 inference('sup-', [status(thm)], [zip_derived_cl30829, zip_derived_cl5])).
% 94.27/14.08 thf(zip_derived_cl18, plain, ( (less_than_or_equal @ l @ upper_bound)),
% 94.27/14.08 inference('simplify', [status(thm)], [zip_derived_cl17])).
% 94.27/14.08 thf(zip_derived_cl46, plain, ( (less_than_or_equal @ lower_bound @ l)),
% 94.27/14.08 inference('demod', [status(thm)], [zip_derived_cl45, zip_derived_cl13])).
% 94.27/14.08 thf(zip_derived_cl34891, plain,
% 94.27/14.08 (![X0 : $i]:
% 94.27/14.08 ( (less_than_or_equal @ (f @ l) @ X0)
% 94.27/14.08 | (less_than_or_equal @ X0 @ n0)
% 94.27/14.08 | (less_than_or_equal @ (f @ l) @ n0))),
% 94.27/14.08 inference('demod', [status(thm)],
% 94.27/14.08 [zip_derived_cl34782, zip_derived_cl18, zip_derived_cl46])).
% 94.27/14.08 thf(zip_derived_cl24, plain,
% 94.27/14.08 (![X0 : $i, X1 : $i, X2 : $i]:
% 94.27/14.08 ( (less_than_or_equal @ X0 @ X1)
% 94.27/14.08 | ~ (less_than_or_equal @ X0 @ X2)
% 94.27/14.08 | (less_than_or_equal @ X1 @ X2))),
% 94.27/14.08 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl2])).
% 94.27/14.08 thf(zip_derived_cl34906, plain,
% 94.27/14.08 (![X0 : $i]:
% 94.27/14.08 ( (less_than_or_equal @ X0 @ n0)
% 94.27/14.08 | (less_than_or_equal @ (f @ l) @ X0))),
% 94.27/14.08 inference('clc', [status(thm)], [zip_derived_cl34891, zip_derived_cl24])).
% 94.27/14.08 thf(interpolation1, axiom,
% 94.27/14.08 (( ~( less_than_or_equal @ X @ ( q @ Y @ X ) ) ) |
% 94.27/14.08 ( less_than_or_equal @ X @ Y ))).
% 94.27/14.08 thf(zip_derived_cl3, plain,
% 94.27/14.08 (![X0 : $i, X1 : $i]:
% 94.27/14.08 (~ (less_than_or_equal @ X0 @ (q @ X1 @ X0))
% 94.27/14.08 | (less_than_or_equal @ X0 @ X1))),
% 94.27/14.08 inference('cnf', [status(esa)], [interpolation1])).
% 94.27/14.08 thf(zip_derived_cl34938, plain,
% 94.27/14.08 (![X0 : $i]:
% 94.27/14.08 ( (less_than_or_equal @ (q @ X0 @ (f @ l)) @ n0)
% 94.27/14.08 | (less_than_or_equal @ (f @ l) @ X0))),
% 94.27/14.08 inference('sup-', [status(thm)], [zip_derived_cl34906, zip_derived_cl3])).
% 94.27/14.08 thf(interpolation2, axiom,
% 94.27/14.08 (( ~( less_than_or_equal @ ( q @ X @ Y ) @ X ) ) |
% 94.27/14.08 ( less_than_or_equal @ Y @ X ))).
% 94.27/14.08 thf(zip_derived_cl4, plain,
% 94.27/14.08 (![X0 : $i, X1 : $i]:
% 94.27/14.08 (~ (less_than_or_equal @ (q @ X0 @ X1) @ X0)
% 94.27/14.08 | (less_than_or_equal @ X1 @ X0))),
% 94.27/14.08 inference('cnf', [status(esa)], [interpolation2])).
% 94.27/14.08 thf(zip_derived_cl37249, plain,
% 94.27/14.08 (( (less_than_or_equal @ (f @ l) @ n0)
% 94.27/14.08 | (less_than_or_equal @ (f @ l) @ n0))),
% 94.27/14.08 inference('sup-', [status(thm)], [zip_derived_cl34938, zip_derived_cl4])).
% 94.27/14.08 thf(zip_derived_cl37266, plain, ( (less_than_or_equal @ (f @ l) @ n0)),
% 94.27/14.08 inference('simplify', [status(thm)], [zip_derived_cl37249])).
% 94.27/14.08 thf(zip_derived_cl37276, plain, (~ (less_than_or_equal @ n0 @ (f @ l))),
% 94.27/14.08 inference('demod', [status(thm)], [zip_derived_cl16, zip_derived_cl37266])).
% 94.27/14.08 thf(zip_derived_cl46, plain, ( (less_than_or_equal @ lower_bound @ l)),
% 94.27/14.08 inference('demod', [status(thm)], [zip_derived_cl45, zip_derived_cl13])).
% 94.27/14.08 thf(zip_derived_cl1, plain,
% 94.27/14.08 (![X0 : $i, X1 : $i]:
% 94.27/14.08 ( (less_than_or_equal @ X0 @ X1) | (less_than_or_equal @ X1 @ X0))),
% 94.27/14.08 inference('cnf', [status(esa)], [totality_of_less])).
% 94.27/14.08 thf(zip_derived_cl1, plain,
% 94.27/14.08 (![X0 : $i, X1 : $i]:
% 94.27/14.08 ( (less_than_or_equal @ X0 @ X1) | (less_than_or_equal @ X1 @ X0))),
% 94.27/14.08 inference('cnf', [status(esa)], [totality_of_less])).
% 94.27/14.08 thf(zip_derived_cl9, plain,
% 94.27/14.08 (![X0 : $i]:
% 94.27/14.08 ( (less_than_or_equal @ X0 @ l)
% 94.27/14.08 | ~ (less_than_or_equal @ X0 @ upper_bound)
% 94.27/14.08 | ~ (less_than_or_equal @ (f @ X0) @ n0))),
% 94.27/14.08 inference('cnf', [status(esa)], [crossover1])).
% 94.27/14.08 thf(zip_derived_cl43, plain,
% 94.27/14.08 (![X0 : $i]:
% 94.27/14.08 ( (less_than_or_equal @ n0 @ (f @ X0))
% 94.27/14.08 | ~ (less_than_or_equal @ X0 @ upper_bound)
% 94.27/14.08 | (less_than_or_equal @ X0 @ l))),
% 94.27/14.08 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl9])).
% 94.27/14.08 thf(zip_derived_cl153, plain,
% 94.27/14.08 (![X0 : $i]:
% 94.27/14.08 ( (less_than_or_equal @ upper_bound @ X0)
% 94.27/14.08 | (less_than_or_equal @ X0 @ l)
% 94.27/14.08 | (less_than_or_equal @ n0 @ (f @ X0)))),
% 94.27/14.08 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl43])).
% 94.27/14.08 thf(continuity4, axiom,
% 94.27/14.08 (( less_than_or_equal @ n0 @ ( f @ X ) ) |
% 94.27/14.08 ( ~( less_than_or_equal @ X @ Y ) ) |
% 94.27/14.08 ( ~( less_than_or_equal @ n0 @ ( f @ Y ) ) ) |
% 94.27/14.08 ( less_than_or_equal @ ( k @ X ) @ Y ) |
% 94.27/14.08 ( ~( less_than_or_equal @ lower_bound @ X ) ) |
% 94.27/14.08 ( ~( less_than_or_equal @ X @ upper_bound ) ))).
% 94.27/14.08 thf(zip_derived_cl8, plain,
% 94.27/14.08 (![X0 : $i, X1 : $i]:
% 94.27/14.08 ( (less_than_or_equal @ n0 @ (f @ X0))
% 94.27/14.08 | ~ (less_than_or_equal @ X0 @ X1)
% 94.27/14.08 | ~ (less_than_or_equal @ n0 @ (f @ X1))
% 94.27/14.08 | (less_than_or_equal @ (k @ X0) @ X1)
% 94.27/14.08 | ~ (less_than_or_equal @ lower_bound @ X0)
% 94.27/14.08 | ~ (less_than_or_equal @ X0 @ upper_bound))),
% 94.27/14.08 inference('cnf', [status(esa)], [continuity4])).
% 94.27/14.08 thf(zip_derived_cl796, plain,
% 94.27/14.08 (![X0 : $i, X1 : $i]:
% 94.27/14.08 ( (less_than_or_equal @ X0 @ l)
% 94.27/14.08 | (less_than_or_equal @ upper_bound @ X0)
% 94.27/14.08 | ~ (less_than_or_equal @ X1 @ upper_bound)
% 94.27/14.08 | ~ (less_than_or_equal @ lower_bound @ X1)
% 94.27/14.08 | (less_than_or_equal @ (k @ X1) @ X0)
% 94.27/14.08 | ~ (less_than_or_equal @ X1 @ X0)
% 94.27/14.08 | (less_than_or_equal @ n0 @ (f @ X1)))),
% 94.27/14.08 inference('sup-', [status(thm)], [zip_derived_cl153, zip_derived_cl8])).
% 94.27/14.08 thf(zip_derived_cl24, plain,
% 94.27/14.08 (![X0 : $i, X1 : $i, X2 : $i]:
% 94.27/14.08 ( (less_than_or_equal @ X0 @ X1)
% 94.27/14.08 | ~ (less_than_or_equal @ X0 @ X2)
% 94.27/14.08 | (less_than_or_equal @ X1 @ X2))),
% 94.27/14.08 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl2])).
% 94.27/14.08 thf(zip_derived_cl79891, plain,
% 94.27/14.08 (![X0 : $i, X1 : $i]:
% 94.27/14.08 ( (less_than_or_equal @ n0 @ (f @ X1))
% 94.27/14.08 | ~ (less_than_or_equal @ X1 @ X0)
% 94.27/14.08 | (less_than_or_equal @ (k @ X1) @ X0)
% 94.27/14.08 | ~ (less_than_or_equal @ lower_bound @ X1)
% 94.27/14.08 | (less_than_or_equal @ upper_bound @ X0)
% 94.27/14.08 | (less_than_or_equal @ X0 @ l))),
% 94.27/14.08 inference('clc', [status(thm)], [zip_derived_cl796, zip_derived_cl24])).
% 94.27/14.08 thf(zip_derived_cl79997, plain,
% 94.27/14.08 (![X0 : $i]:
% 94.27/14.08 ( (less_than_or_equal @ X0 @ l)
% 94.27/14.08 | (less_than_or_equal @ upper_bound @ X0)
% 94.27/14.08 | (less_than_or_equal @ (k @ l) @ X0)
% 94.27/14.08 | ~ (less_than_or_equal @ l @ X0)
% 94.27/14.08 | (less_than_or_equal @ n0 @ (f @ l)))),
% 94.27/14.08 inference('sup-', [status(thm)], [zip_derived_cl46, zip_derived_cl79891])).
% 94.27/14.08 thf(zip_derived_cl46, plain, ( (less_than_or_equal @ lower_bound @ l)),
% 94.27/14.08 inference('demod', [status(thm)], [zip_derived_cl45, zip_derived_cl13])).
% 94.27/14.08 thf(upper_mapping, axiom, (less_than_or_equal @ n0 @ ( f @ upper_bound ))).
% 94.27/14.08 thf(zip_derived_cl15, plain,
% 94.27/14.08 ( (less_than_or_equal @ n0 @ (f @ upper_bound))),
% 94.27/14.08 inference('cnf', [status(esa)], [upper_mapping])).
% 94.27/14.08 thf(zip_derived_cl8, plain,
% 94.27/14.08 (![X0 : $i, X1 : $i]:
% 94.27/14.08 ( (less_than_or_equal @ n0 @ (f @ X0))
% 94.27/14.08 | ~ (less_than_or_equal @ X0 @ X1)
% 94.27/14.08 | ~ (less_than_or_equal @ n0 @ (f @ X1))
% 94.27/14.08 | (less_than_or_equal @ (k @ X0) @ X1)
% 94.27/14.08 | ~ (less_than_or_equal @ lower_bound @ X0)
% 94.27/14.08 | ~ (less_than_or_equal @ X0 @ upper_bound))),
% 94.27/14.08 inference('cnf', [status(esa)], [continuity4])).
% 94.27/14.08 thf(zip_derived_cl97, plain,
% 94.27/14.08 (![X0 : $i]:
% 94.27/14.08 (~ (less_than_or_equal @ X0 @ upper_bound)
% 94.27/14.08 | ~ (less_than_or_equal @ lower_bound @ X0)
% 94.27/14.08 | (less_than_or_equal @ (k @ X0) @ upper_bound)
% 94.27/14.08 | ~ (less_than_or_equal @ X0 @ upper_bound)
% 94.27/14.08 | (less_than_or_equal @ n0 @ (f @ X0)))),
% 94.27/14.08 inference('sup-', [status(thm)], [zip_derived_cl15, zip_derived_cl8])).
% 94.27/14.08 thf(zip_derived_cl99, plain,
% 94.27/14.08 (![X0 : $i]:
% 94.27/14.08 ( (less_than_or_equal @ n0 @ (f @ X0))
% 94.27/14.08 | (less_than_or_equal @ (k @ X0) @ upper_bound)
% 94.27/14.08 | ~ (less_than_or_equal @ lower_bound @ X0)
% 94.27/14.08 | ~ (less_than_or_equal @ X0 @ upper_bound))),
% 94.27/14.08 inference('simplify', [status(thm)], [zip_derived_cl97])).
% 94.27/14.08 thf(zip_derived_cl1572, plain,
% 94.27/14.08 ((~ (less_than_or_equal @ l @ upper_bound)
% 94.27/14.08 | (less_than_or_equal @ (k @ l) @ upper_bound)
% 94.27/14.08 | (less_than_or_equal @ n0 @ (f @ l)))),
% 94.27/14.08 inference('sup-', [status(thm)], [zip_derived_cl46, zip_derived_cl99])).
% 94.27/14.08 thf(zip_derived_cl18, plain, ( (less_than_or_equal @ l @ upper_bound)),
% 94.27/14.08 inference('simplify', [status(thm)], [zip_derived_cl17])).
% 94.27/14.08 thf(zip_derived_cl1580, plain,
% 94.27/14.08 (( (less_than_or_equal @ (k @ l) @ upper_bound)
% 94.27/14.08 | (less_than_or_equal @ n0 @ (f @ l)))),
% 94.27/14.08 inference('demod', [status(thm)], [zip_derived_cl1572, zip_derived_cl18])).
% 94.27/14.08 thf(zip_derived_cl16, plain,
% 94.27/14.08 ((~ (less_than_or_equal @ n0 @ (f @ l))
% 94.27/14.08 | ~ (less_than_or_equal @ (f @ l) @ n0))),
% 94.27/14.08 inference('cnf', [status(esa)], [zf_stmt_0])).
% 94.27/14.08 thf(zip_derived_cl1590, plain,
% 94.27/14.08 (( (less_than_or_equal @ (k @ l) @ upper_bound)
% 94.27/14.08 | ~ (less_than_or_equal @ (f @ l) @ n0))),
% 94.27/14.08 inference('sup-', [status(thm)], [zip_derived_cl1580, zip_derived_cl16])).
% 94.27/14.08 thf(zip_derived_cl37266, plain, ( (less_than_or_equal @ (f @ l) @ n0)),
% 94.27/14.08 inference('simplify', [status(thm)], [zip_derived_cl37249])).
% 94.27/14.08 thf(zip_derived_cl37278, plain,
% 94.27/14.08 ( (less_than_or_equal @ (k @ l) @ upper_bound)),
% 94.27/14.08 inference('demod', [status(thm)],
% 94.27/14.08 [zip_derived_cl1590, zip_derived_cl37266])).
% 94.27/14.08 thf(zip_derived_cl2, plain,
% 94.27/14.08 (![X0 : $i, X1 : $i, X2 : $i]:
% 94.27/14.08 ( (less_than_or_equal @ X0 @ X1)
% 94.27/14.08 | ~ (less_than_or_equal @ X0 @ X2)
% 94.27/14.08 | ~ (less_than_or_equal @ X2 @ X1))),
% 94.27/14.08 inference('cnf', [status(esa)], [transitivity_of_less])).
% 94.27/14.08 thf(zip_derived_cl37415, plain,
% 94.27/14.08 (![X0 : $i]:
% 94.27/14.08 (~ (less_than_or_equal @ upper_bound @ X0)
% 94.27/14.08 | (less_than_or_equal @ (k @ l) @ X0))),
% 94.27/14.08 inference('sup-', [status(thm)], [zip_derived_cl37278, zip_derived_cl2])).
% 94.27/14.08 thf(zip_derived_cl143801, plain,
% 94.27/14.08 (![X0 : $i]:
% 94.27/14.08 ( (less_than_or_equal @ n0 @ (f @ l))
% 94.27/14.08 | ~ (less_than_or_equal @ l @ X0)
% 94.27/14.08 | (less_than_or_equal @ (k @ l) @ X0)
% 94.27/14.08 | (less_than_or_equal @ X0 @ l))),
% 94.27/14.08 inference('clc', [status(thm)],
% 94.27/14.08 [zip_derived_cl79997, zip_derived_cl37415])).
% 94.27/14.08 thf(zip_derived_cl37276, plain, (~ (less_than_or_equal @ n0 @ (f @ l))),
% 94.27/14.08 inference('demod', [status(thm)], [zip_derived_cl16, zip_derived_cl37266])).
% 94.27/14.08 thf(zip_derived_cl143802, plain,
% 94.27/14.08 (![X0 : $i]:
% 94.27/14.08 ( (less_than_or_equal @ X0 @ l)
% 94.27/14.08 | (less_than_or_equal @ (k @ l) @ X0)
% 94.27/14.08 | ~ (less_than_or_equal @ l @ X0))),
% 94.27/14.08 inference('clc', [status(thm)],
% 94.27/14.08 [zip_derived_cl143801, zip_derived_cl37276])).
% 94.27/14.08 thf(zip_derived_cl1, plain,
% 94.27/14.08 (![X0 : $i, X1 : $i]:
% 94.27/14.08 ( (less_than_or_equal @ X0 @ X1) | (less_than_or_equal @ X1 @ X0))),
% 94.27/14.08 inference('cnf', [status(esa)], [totality_of_less])).
% 94.27/14.08 thf(zip_derived_cl143803, plain,
% 94.27/14.08 (![X0 : $i]:
% 94.27/14.08 ( (less_than_or_equal @ (k @ l) @ X0) | (less_than_or_equal @ X0 @ l))),
% 94.27/14.08 inference('clc', [status(thm)], [zip_derived_cl143802, zip_derived_cl1])).
% 94.27/14.08 thf(zip_derived_cl3, plain,
% 94.27/14.08 (![X0 : $i, X1 : $i]:
% 94.27/14.08 (~ (less_than_or_equal @ X0 @ (q @ X1 @ X0))
% 94.27/14.08 | (less_than_or_equal @ X0 @ X1))),
% 94.27/14.08 inference('cnf', [status(esa)], [interpolation1])).
% 94.27/14.08 thf(zip_derived_cl143870, plain,
% 94.27/14.08 (![X0 : $i]:
% 94.27/14.08 ( (less_than_or_equal @ (q @ X0 @ (k @ l)) @ l)
% 94.27/14.08 | (less_than_or_equal @ (k @ l) @ X0))),
% 94.27/14.08 inference('sup-', [status(thm)], [zip_derived_cl143803, zip_derived_cl3])).
% 94.27/14.08 thf(zip_derived_cl4, plain,
% 94.27/14.08 (![X0 : $i, X1 : $i]:
% 94.27/14.08 (~ (less_than_or_equal @ (q @ X0 @ X1) @ X0)
% 94.27/14.08 | (less_than_or_equal @ X1 @ X0))),
% 94.27/14.08 inference('cnf', [status(esa)], [interpolation2])).
% 94.27/14.08 thf(zip_derived_cl147500, plain,
% 94.27/14.08 (( (less_than_or_equal @ (k @ l) @ l)
% 94.27/14.08 | (less_than_or_equal @ (k @ l) @ l))),
% 94.27/14.08 inference('sup-', [status(thm)], [zip_derived_cl143870, zip_derived_cl4])).
% 94.27/14.08 thf(zip_derived_cl147530, plain, ( (less_than_or_equal @ (k @ l) @ l)),
% 94.27/14.08 inference('simplify', [status(thm)], [zip_derived_cl147500])).
% 94.27/14.08 thf(continuity3, axiom,
% 94.27/14.08 (( less_than_or_equal @ n0 @ ( f @ X ) ) |
% 94.27/14.08 ( ~( less_than_or_equal @ ( k @ X ) @ X ) ) |
% 94.27/14.08 ( ~( less_than_or_equal @ lower_bound @ X ) ) |
% 94.27/14.08 ( ~( less_than_or_equal @ X @ upper_bound ) ))).
% 94.27/14.08 thf(zip_derived_cl7, plain,
% 94.27/14.08 (![X0 : $i]:
% 94.27/14.08 ( (less_than_or_equal @ n0 @ (f @ X0))
% 94.27/14.08 | ~ (less_than_or_equal @ (k @ X0) @ X0)
% 94.27/14.08 | ~ (less_than_or_equal @ lower_bound @ X0)
% 94.27/14.08 | ~ (less_than_or_equal @ X0 @ upper_bound))),
% 94.27/14.08 inference('cnf', [status(esa)], [continuity3])).
% 94.27/14.08 thf(zip_derived_cl147713, plain,
% 94.27/14.08 ((~ (less_than_or_equal @ l @ upper_bound)
% 94.27/14.08 | ~ (less_than_or_equal @ lower_bound @ l)
% 94.27/14.08 | (less_than_or_equal @ n0 @ (f @ l)))),
% 94.27/14.08 inference('sup-', [status(thm)], [zip_derived_cl147530, zip_derived_cl7])).
% 94.27/14.08 thf(zip_derived_cl18, plain, ( (less_than_or_equal @ l @ upper_bound)),
% 94.27/14.08 inference('simplify', [status(thm)], [zip_derived_cl17])).
% 94.27/14.08 thf(zip_derived_cl46, plain, ( (less_than_or_equal @ lower_bound @ l)),
% 94.27/14.08 inference('demod', [status(thm)], [zip_derived_cl45, zip_derived_cl13])).
% 94.27/14.08 thf(zip_derived_cl147767, plain, ( (less_than_or_equal @ n0 @ (f @ l))),
% 94.27/14.08 inference('demod', [status(thm)],
% 94.27/14.08 [zip_derived_cl147713, zip_derived_cl18, zip_derived_cl46])).
% 94.27/14.08 thf(zip_derived_cl147773, plain, ($false),
% 94.27/14.08 inference('demod', [status(thm)],
% 94.27/14.08 [zip_derived_cl37276, zip_derived_cl147767])).
% 94.27/14.08
% 94.27/14.08 % SZS output end Refutation
% 94.27/14.08
% 94.27/14.08
% 94.27/14.08 % Terminating...
% 94.91/14.20 % Runner terminated.
% 94.91/14.22 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------