TSTP Solution File: GEO006-1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GEO006-1 : TPTP v8.1.2. Bugfixed v2.5.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.qdyGVCdJdd true
% Computer : n006.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 23:55:50 EDT 2023
% Result : Unsatisfiable 0.58s 0.92s
% Output : Refutation 0.58s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO006-1 : TPTP v8.1.2. Bugfixed v2.5.0.
% 0.07/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.qdyGVCdJdd true
% 0.14/0.35 % Computer : n006.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
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Tue Aug 29 18:55:36 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % Running portfolio for 300 s
% 0.14/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.35 % Number of cores: 8
% 0.14/0.35 % Python version: Python 3.6.8
% 0.14/0.36 % Running in FO mode
% 0.43/0.65 % Total configuration time : 435
% 0.43/0.65 % Estimated wc time : 1092
% 0.43/0.65 % Estimated cpu time (7 cpus) : 156.0
% 0.57/0.70 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.57/0.72 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.57/0.72 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.57/0.75 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.58/0.78 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.58/0.78 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.58/0.78 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.58/0.92 % Solved by fo/fo3_bce.sh.
% 0.58/0.92 % BCE start: 25
% 0.58/0.92 % BCE eliminated: 0
% 0.58/0.92 % PE start: 25
% 0.58/0.92 logic: eq
% 0.58/0.92 % PE eliminated: 0
% 0.58/0.92 % done 187 iterations in 0.176s
% 0.58/0.92 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.58/0.92 % SZS output start Refutation
% 0.58/0.92 thf(between_type, type, between: $i > $i > $i > $o).
% 0.58/0.92 thf(a_type, type, a: $i).
% 0.58/0.92 thf(equidistant_type, type, equidistant: $i > $i > $i > $i > $o).
% 0.58/0.92 thf(extension_type, type, extension: $i > $i > $i > $i > $i).
% 0.58/0.92 thf(d_type, type, d: $i).
% 0.58/0.92 thf(c_type, type, c: $i).
% 0.58/0.92 thf(outer_pasch_type, type, outer_pasch: $i > $i > $i > $i > $i > $i).
% 0.58/0.92 thf(identity_for_betweeness, axiom,
% 0.58/0.92 (( ~( between @ X @ Y @ X ) ) | ( ( X ) = ( Y ) ))).
% 0.58/0.92 thf(zip_derived_cl0, plain,
% 0.58/0.92 (![X0 : $i, X1 : $i]: (~ (between @ X0 @ X1 @ X0) | ((X0) = (X1)))),
% 0.58/0.92 inference('cnf', [status(esa)], [identity_for_betweeness])).
% 0.58/0.92 thf(c_between_a_and_d, axiom, (between @ a @ c @ d)).
% 0.58/0.92 thf(zip_derived_cl23, plain, ( (between @ a @ c @ d)),
% 0.58/0.92 inference('cnf', [status(esa)], [c_between_a_and_d])).
% 0.58/0.92 thf(outer_pasch1, axiom,
% 0.58/0.92 (( ~( between @ X @ W @ V ) ) | ( ~( between @ Y @ V @ Z ) ) |
% 0.58/0.92 ( between @ X @ ( outer_pasch @ W @ X @ Y @ Z @ V ) @ Y ))).
% 0.58/0.92 thf(zip_derived_cl6, plain,
% 0.58/0.92 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 0.58/0.92 (~ (between @ X0 @ X1 @ X2)
% 0.58/0.92 | ~ (between @ X3 @ X2 @ X4)
% 0.58/0.92 | (between @ X0 @ (outer_pasch @ X1 @ X0 @ X3 @ X4 @ X2) @ X3))),
% 0.58/0.92 inference('cnf', [status(esa)], [outer_pasch1])).
% 0.58/0.92 thf(zip_derived_cl0, plain,
% 0.58/0.92 (![X0 : $i, X1 : $i]: (~ (between @ X0 @ X1 @ X0) | ((X0) = (X1)))),
% 0.58/0.92 inference('cnf', [status(esa)], [identity_for_betweeness])).
% 0.58/0.92 thf(zip_derived_cl204, plain,
% 0.58/0.92 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.58/0.92 (~ (between @ X0 @ X1 @ X2)
% 0.58/0.92 | ~ (between @ X0 @ X3 @ X1)
% 0.58/0.92 | ((X0) = (outer_pasch @ X3 @ X0 @ X0 @ X2 @ X1)))),
% 0.58/0.92 inference('sup-', [status(thm)], [zip_derived_cl6, zip_derived_cl0])).
% 0.58/0.92 thf(outer_pasch2, axiom,
% 0.58/0.92 (( ~( between @ X @ W @ V ) ) | ( ~( between @ Y @ V @ Z ) ) |
% 0.58/0.92 ( between @ Z @ W @ ( outer_pasch @ W @ X @ Y @ Z @ V ) ))).
% 0.58/0.92 thf(zip_derived_cl7, plain,
% 0.58/0.92 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 0.58/0.92 (~ (between @ X0 @ X1 @ X2)
% 0.58/0.92 | ~ (between @ X3 @ X2 @ X4)
% 0.58/0.92 | (between @ X4 @ X1 @ (outer_pasch @ X1 @ X0 @ X3 @ X4 @ X2)))),
% 0.58/0.92 inference('cnf', [status(esa)], [outer_pasch2])).
% 0.58/0.92 thf(zip_derived_cl436, plain,
% 0.58/0.92 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.58/0.92 ( (between @ X2 @ X3 @ X0)
% 0.58/0.92 | ~ (between @ X0 @ X3 @ X1)
% 0.58/0.92 | ~ (between @ X0 @ X1 @ X2)
% 0.58/0.92 | ~ (between @ X0 @ X1 @ X2)
% 0.58/0.92 | ~ (between @ X0 @ X3 @ X1))),
% 0.58/0.92 inference('sup+', [status(thm)], [zip_derived_cl204, zip_derived_cl7])).
% 0.58/0.92 thf(zip_derived_cl441, plain,
% 0.58/0.92 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.58/0.92 (~ (between @ X0 @ X1 @ X2)
% 0.58/0.92 | ~ (between @ X0 @ X3 @ X1)
% 0.58/0.92 | (between @ X2 @ X3 @ X0))),
% 0.58/0.92 inference('simplify', [status(thm)], [zip_derived_cl436])).
% 0.58/0.92 thf(zip_derived_cl560, plain,
% 0.58/0.92 (![X0 : $i]: ( (between @ d @ X0 @ a) | ~ (between @ a @ X0 @ c))),
% 0.58/0.92 inference('sup-', [status(thm)], [zip_derived_cl23, zip_derived_cl441])).
% 0.58/0.92 thf(zip_derived_cl0, plain,
% 0.58/0.92 (![X0 : $i, X1 : $i]: (~ (between @ X0 @ X1 @ X0) | ((X0) = (X1)))),
% 0.58/0.92 inference('cnf', [status(esa)], [identity_for_betweeness])).
% 0.58/0.92 thf(prove_not_between_others, conjecture,
% 0.58/0.92 (~( ( between @ a @ d @ c ) | ( between @ c @ a @ d ) ))).
% 0.58/0.92 thf(zf_stmt_0, negated_conjecture,
% 0.58/0.92 (( between @ a @ d @ c ) | ( between @ c @ a @ d )),
% 0.58/0.92 inference('cnf.neg', [status(esa)], [prove_not_between_others])).
% 0.58/0.92 thf(zip_derived_cl24, plain,
% 0.58/0.92 (( (between @ a @ d @ c) | (between @ c @ a @ d))),
% 0.58/0.92 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.58/0.92 thf(transitivity_for_betweeness, axiom,
% 0.58/0.92 (( ~( between @ X @ Y @ V ) ) | ( ~( between @ Y @ Z @ V ) ) |
% 0.58/0.92 ( between @ X @ Y @ Z ))).
% 0.58/0.92 thf(zip_derived_cl1, plain,
% 0.58/0.92 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.58/0.92 (~ (between @ X0 @ X1 @ X2)
% 0.58/0.92 | ~ (between @ X1 @ X3 @ X2)
% 0.58/0.92 | (between @ X0 @ X1 @ X3))),
% 0.58/0.92 inference('cnf', [status(esa)], [transitivity_for_betweeness])).
% 0.58/0.92 thf(zip_derived_cl157, plain,
% 0.58/0.92 (![X0 : $i]:
% 0.58/0.92 ( (between @ a @ d @ c)
% 0.58/0.92 | (between @ c @ a @ X0)
% 0.58/0.92 | ~ (between @ a @ X0 @ d))),
% 0.58/0.92 inference('sup-', [status(thm)], [zip_derived_cl24, zip_derived_cl1])).
% 0.58/0.92 thf(zip_derived_cl187, plain,
% 0.58/0.92 ((((c) = (a)) | ~ (between @ a @ c @ d) | (between @ a @ d @ c))),
% 0.58/0.92 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl157])).
% 0.58/0.92 thf(zip_derived_cl23, plain, ( (between @ a @ c @ d)),
% 0.58/0.92 inference('cnf', [status(esa)], [c_between_a_and_d])).
% 0.58/0.92 thf(zip_derived_cl189, plain, ((((c) = (a)) | (between @ a @ d @ c))),
% 0.58/0.92 inference('demod', [status(thm)], [zip_derived_cl187, zip_derived_cl23])).
% 0.58/0.92 thf(a_not_c, axiom, (( a ) != ( c ))).
% 0.58/0.92 thf(zip_derived_cl20, plain, (((a) != (c))),
% 0.58/0.92 inference('cnf', [status(esa)], [a_not_c])).
% 0.58/0.92 thf(zip_derived_cl190, plain, ( (between @ a @ d @ c)),
% 0.58/0.92 inference('simplify_reflect-', [status(thm)],
% 0.58/0.92 [zip_derived_cl189, zip_derived_cl20])).
% 0.58/0.92 thf(zip_derived_cl441, plain,
% 0.58/0.92 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.58/0.92 (~ (between @ X0 @ X1 @ X2)
% 0.58/0.92 | ~ (between @ X0 @ X3 @ X1)
% 0.58/0.92 | (between @ X2 @ X3 @ X0))),
% 0.58/0.92 inference('simplify', [status(thm)], [zip_derived_cl436])).
% 0.58/0.92 thf(zip_derived_cl563, plain,
% 0.58/0.92 (![X0 : $i]: ( (between @ c @ X0 @ a) | ~ (between @ a @ X0 @ d))),
% 0.58/0.92 inference('sup-', [status(thm)], [zip_derived_cl190, zip_derived_cl441])).
% 0.58/0.92 thf(zip_derived_cl1, plain,
% 0.58/0.92 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.58/0.92 (~ (between @ X0 @ X1 @ X2)
% 0.58/0.92 | ~ (between @ X1 @ X3 @ X2)
% 0.58/0.92 | (between @ X0 @ X1 @ X3))),
% 0.58/0.92 inference('cnf', [status(esa)], [transitivity_for_betweeness])).
% 0.58/0.92 thf(zip_derived_cl621, plain,
% 0.58/0.92 (![X0 : $i, X1 : $i]:
% 0.58/0.92 (~ (between @ a @ X0 @ d)
% 0.58/0.92 | (between @ c @ X0 @ X1)
% 0.58/0.92 | ~ (between @ X0 @ X1 @ a))),
% 0.58/0.92 inference('sup-', [status(thm)], [zip_derived_cl563, zip_derived_cl1])).
% 0.58/0.92 thf(zip_derived_cl672, plain,
% 0.58/0.92 (![X0 : $i]:
% 0.58/0.92 (~ (between @ a @ X0 @ c)
% 0.58/0.92 | (between @ c @ d @ X0)
% 0.58/0.92 | ~ (between @ a @ d @ d))),
% 0.58/0.92 inference('sup-', [status(thm)], [zip_derived_cl560, zip_derived_cl621])).
% 0.58/0.92 thf(segment_construction2, axiom,
% 0.58/0.92 (equidistant @ Y @ ( extension @ X @ Y @ W @ V ) @ W @ V)).
% 0.58/0.92 thf(zip_derived_cl13, plain,
% 0.58/0.92 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.58/0.92 (equidistant @ X0 @ (extension @ X1 @ X0 @ X2 @ X3) @ X2 @ X3)),
% 0.58/0.92 inference('cnf', [status(esa)], [segment_construction2])).
% 0.58/0.92 thf(identity_for_equidistance, axiom,
% 0.58/0.92 (( ~( equidistant @ X @ Y @ Z @ Z ) ) | ( ( X ) = ( Y ) ))).
% 0.58/0.92 thf(zip_derived_cl4, plain,
% 0.58/0.92 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.58/0.92 (~ (equidistant @ X0 @ X1 @ X2 @ X2) | ((X0) = (X1)))),
% 0.58/0.92 inference('cnf', [status(esa)], [identity_for_equidistance])).
% 0.58/0.92 thf(zip_derived_cl180, plain,
% 0.58/0.92 (![X0 : $i, X1 : $i, X2 : $i]: ((X1) = (extension @ X2 @ X1 @ X0 @ X0))),
% 0.58/0.92 inference('sup-', [status(thm)], [zip_derived_cl13, zip_derived_cl4])).
% 0.58/0.92 thf(segment_construction1, axiom,
% 0.58/0.92 (between @ X @ Y @ ( extension @ X @ Y @ W @ V ))).
% 0.58/0.92 thf(zip_derived_cl12, plain,
% 0.58/0.92 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.58/0.92 (between @ X0 @ X1 @ (extension @ X0 @ X1 @ X2 @ X3))),
% 0.58/0.92 inference('cnf', [status(esa)], [segment_construction1])).
% 0.58/0.92 thf(zip_derived_cl238, plain,
% 0.58/0.92 (![X0 : $i, X2 : $i]: (between @ X2 @ X0 @ X0)),
% 0.58/0.92 inference('sup+', [status(thm)], [zip_derived_cl180, zip_derived_cl12])).
% 0.58/0.92 thf(zip_derived_cl674, plain,
% 0.58/0.92 (![X0 : $i]: (~ (between @ a @ X0 @ c) | (between @ c @ d @ X0))),
% 0.58/0.92 inference('demod', [status(thm)], [zip_derived_cl672, zip_derived_cl238])).
% 0.58/0.92 thf(zip_derived_cl695, plain, ((((c) = (d)) | ~ (between @ a @ c @ c))),
% 0.58/0.92 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl674])).
% 0.58/0.92 thf(zip_derived_cl238, plain,
% 0.58/0.92 (![X0 : $i, X2 : $i]: (between @ X2 @ X0 @ X0)),
% 0.58/0.92 inference('sup+', [status(thm)], [zip_derived_cl180, zip_derived_cl12])).
% 0.58/0.92 thf(zip_derived_cl699, plain, (((c) = (d))),
% 0.58/0.92 inference('demod', [status(thm)], [zip_derived_cl695, zip_derived_cl238])).
% 0.58/0.92 thf(c_not_d, axiom, (( c ) != ( d ))).
% 0.58/0.92 thf(zip_derived_cl22, plain, (((c) != (d))),
% 0.58/0.92 inference('cnf', [status(esa)], [c_not_d])).
% 0.58/0.92 thf(zip_derived_cl700, plain, ($false),
% 0.58/0.92 inference('simplify_reflect-', [status(thm)],
% 0.58/0.92 [zip_derived_cl699, zip_derived_cl22])).
% 0.58/0.92
% 0.58/0.92 % SZS output end Refutation
% 0.58/0.92
% 0.58/0.92
% 0.58/0.92 % Terminating...
% 0.58/0.96 % Runner terminated.
% 0.58/0.97 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------