%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GEO006-2 : TPTP v9.2.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.9OTFywRVoE true
% Computer : n004.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 Oct 2 04:33:34 PM UTC 2025
% Result : Unsatisfiable 0.37s 2.21s
% Output : Refutation 0.37s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.72 % Problem : GEO006-2 : TPTP v9.2.0. Released v1.0.0.
% 0.08/0.81 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.9OTFywRVoE true
% 0.11/1.21 % Computer : n004.cluster.edu
% 0.11/1.21 % Model : x86_64 x86_64
% 0.11/1.21 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/1.21 % Memory : 8042.1875MB
% 0.11/1.21 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/1.21 % CPULimit : 300
% 0.11/1.21 % WCLimit : 300
% 0.11/1.21 % DateTime : Wed Oct 1 17:37:39 EDT 2025
% 0.14/1.23 % CPUTime :
% 0.14/1.23 % Running portfolio for 300 s
% 0.14/1.23 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/1.25 % Number of cores: 8
% 0.14/1.27 % Python version: Python 3.6.8
% 0.14/1.28 % Running in FO mode
% 0.34/1.77 % Total configuration time : 435
% 0.34/1.77 % Estimated wc time : 1092
% 0.34/1.77 % Estimated cpu time (7 cpus) : 156.0
% 0.36/1.95 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.36/2.00 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.37/2.09 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.37/2.12 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.37/2.15 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.37/2.16 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.37/2.21 % Solved by fo/fo6_bce.sh.
% 0.37/2.21 % BCE start: 23
% 0.37/2.21 % BCE eliminated: 0
% 0.37/2.21 % PE start: 23
% 0.37/2.21 logic: eq
% 0.37/2.21 % PE eliminated: 0
% 0.37/2.21 % done 59 iterations in 0.089s
% 0.37/2.21 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.37/2.21 % SZS output start Refutation
% 0.37/2.21 thf(between_type, type, between: $i > $i > $i > $o).
% 0.37/2.21 thf(a_type, type, a: $i).
% 0.37/2.21 thf(c_type, type, c: $i).
% 0.37/2.21 thf(d_type, type, d: $i).
% 0.37/2.21 thf(equidistant_type, type, equidistant: $i > $i > $i > $i > $o).
% 0.37/2.21 thf(inner_pasch_type, type, inner_pasch: $i > $i > $i > $i > $i > $i).
% 0.37/2.21 thf(extension_type, type, extension: $i > $i > $i > $i > $i).
% 0.37/2.21 thf(prove_not_between_others, conjecture,
% 0.37/2.21 (~( ( between @ a @ d @ c ) | ( between @ c @ a @ d ) ))).
% 0.37/2.21 thf(zf_stmt_0, negated_conjecture,
% 0.37/2.21 (( between @ a @ d @ c ) | ( between @ c @ a @ d )),
% 0.37/2.21 inference('cnf.neg', [status(esa)], [prove_not_between_others])).
% 0.37/2.21 thf(zip_derived_cl22, plain,
% 0.37/2.21 (( (between @ a @ d @ c) | (between @ c @ a @ d))),
% 0.37/2.21 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.37/2.21 thf(c_between_a_and_d, axiom, (between @ a @ c @ d)).
% 0.37/2.21 thf(zip_derived_cl21, plain, ( (between @ a @ c @ d)),
% 0.37/2.21 inference('cnf', [status(esa)], [c_between_a_and_d])).
% 0.37/2.21 thf(inner_pasch1, axiom,
% 0.37/2.21 (( ~( between @ U @ V @ W ) ) | ( ~( between @ Y @ X @ W ) ) |
% 0.37/2.21 ( between @ V @ ( inner_pasch @ U @ V @ W @ X @ Y ) @ Y ))).
% 0.37/2.21 thf(zip_derived_cl7, plain,
% 0.37/2.21 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 0.37/2.21 (~ (between @ X0 @ X1 @ X2)
% 0.37/2.21 | ~ (between @ X3 @ X4 @ X2)
% 0.37/2.21 | (between @ X1 @ (inner_pasch @ X0 @ X1 @ X2 @ X4 @ X3) @ X3))),
% 0.37/2.21 inference('cnf', [status(esa)], [inner_pasch1])).
% 0.37/2.21 thf(identity_for_betweeness, axiom,
% 0.37/2.21 (( ~( between @ X @ Y @ X ) ) | ( ( X ) = ( Y ) ))).
% 0.37/2.21 thf(zip_derived_cl6, plain,
% 0.37/2.21 (![X0 : $i, X1 : $i]: (~ (between @ X0 @ X1 @ X0) | ((X0) = (X1)))),
% 0.37/2.21 inference('cnf', [status(esa)], [identity_for_betweeness])).
% 0.37/2.21 thf(zip_derived_cl170, plain,
% 0.37/2.21 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.37/2.21 (~ (between @ X0 @ X1 @ X2)
% 0.37/2.21 | ~ (between @ X3 @ X0 @ X2)
% 0.37/2.21 | ((X0) = (inner_pasch @ X3 @ X0 @ X2 @ X1 @ X0)))),
% 0.37/2.21 inference('s_sup-', [status(thm)], [zip_derived_cl7, zip_derived_cl6])).
% 0.37/2.21 thf(inner_pasch2, axiom,
% 0.37/2.21 (( ~( between @ U @ V @ W ) ) | ( ~( between @ Y @ X @ W ) ) |
% 0.37/2.21 ( between @ X @ ( inner_pasch @ U @ V @ W @ X @ Y ) @ U ))).
% 0.37/2.21 thf(zip_derived_cl8, plain,
% 0.37/2.21 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 0.37/2.21 (~ (between @ X0 @ X1 @ X2)
% 0.37/2.21 | ~ (between @ X3 @ X4 @ X2)
% 0.37/2.21 | (between @ X4 @ (inner_pasch @ X0 @ X1 @ X2 @ X4 @ X3) @ X0))),
% 0.37/2.21 inference('cnf', [status(esa)], [inner_pasch2])).
% 0.37/2.21 thf(zip_derived_cl187, plain,
% 0.37/2.21 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.37/2.21 (~ (between @ X1 @ X0 @ X3)
% 0.37/2.21 | ~ (between @ X0 @ X2 @ X3)
% 0.37/2.21 | ~ (between @ X1 @ X0 @ X3)
% 0.37/2.21 | ~ (between @ X0 @ X2 @ X3)
% 0.37/2.21 | (between @ X2 @ X0 @ X1))),
% 0.37/2.21 inference('s_sup+', [status(thm)], [zip_derived_cl170, zip_derived_cl8])).
% 0.37/2.21 thf(zip_derived_cl189, plain,
% 0.37/2.21 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.37/2.21 ( (between @ X2 @ X0 @ X1)
% 0.37/2.21 | ~ (between @ X0 @ X2 @ X3)
% 0.37/2.21 | ~ (between @ X1 @ X0 @ X3))),
% 0.37/2.21 inference('simplify', [status(thm)], [zip_derived_cl187])).
% 0.37/2.21 thf(zip_derived_cl197, plain,
% 0.37/2.21 (![X0 : $i]: ( (between @ c @ a @ X0) | ~ (between @ X0 @ a @ d))),
% 0.37/2.21 inference('s_sup-', [status(thm)], [zip_derived_cl21, zip_derived_cl189])).
% 0.37/2.21 thf(zip_derived_cl201, plain,
% 0.37/2.21 (( (between @ a @ d @ c) | (between @ c @ a @ c))),
% 0.37/2.21 inference('s_sup-', [status(thm)], [zip_derived_cl22, zip_derived_cl197])).
% 0.37/2.21 thf(zip_derived_cl6, plain,
% 0.37/2.21 (![X0 : $i, X1 : $i]: (~ (between @ X0 @ X1 @ X0) | ((X0) = (X1)))),
% 0.37/2.21 inference('cnf', [status(esa)], [identity_for_betweeness])).
% 0.37/2.21 thf(zip_derived_cl203, plain, (( (between @ a @ d @ c) | ((c) = (a)))),
% 0.37/2.21 inference('s_sup-', [status(thm)], [zip_derived_cl201, zip_derived_cl6])).
% 0.37/2.21 thf(a_not_c, axiom, (( a ) != ( c ))).
% 0.37/2.21 thf(zip_derived_cl18, plain, (((a) != (c))),
% 0.37/2.21 inference('cnf', [status(esa)], [a_not_c])).
% 0.37/2.21 thf(zip_derived_cl205, plain, ( (between @ a @ d @ c)),
% 0.37/2.21 inference('simplify_reflect-', [status(thm)],
% 0.37/2.21 [zip_derived_cl203, zip_derived_cl18])).
% 0.37/2.21 thf(segment_construction2, axiom,
% 0.37/2.21 (equidistant @ Y @ ( extension @ X @ Y @ W @ V ) @ W @ V)).
% 0.37/2.21 thf(zip_derived_cl4, plain,
% 0.37/2.21 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.37/2.21 (equidistant @ X0 @ (extension @ X1 @ X0 @ X2 @ X3) @ X2 @ X3)),
% 0.37/2.21 inference('cnf', [status(esa)], [segment_construction2])).
% 0.37/2.21 thf(identity_for_equidistance, axiom,
% 0.37/2.21 (( ~( equidistant @ X @ Y @ Z @ Z ) ) | ( ( X ) = ( Y ) ))).
% 0.37/2.21 thf(zip_derived_cl2, plain,
% 0.37/2.21 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.37/2.21 (~ (equidistant @ X0 @ X1 @ X2 @ X2) | ((X0) = (X1)))),
% 0.37/2.21 inference('cnf', [status(esa)], [identity_for_equidistance])).
% 0.37/2.21 thf(zip_derived_cl147, plain,
% 0.37/2.21 (![X0 : $i, X1 : $i, X2 : $i]: ((X1) = (extension @ X2 @ X1 @ X0 @ X0))),
% 0.37/2.21 inference('s_sup-', [status(thm)], [zip_derived_cl4, zip_derived_cl2])).
% 0.37/2.21 thf(segment_construction1, axiom,
% 0.37/2.21 (between @ X @ Y @ ( extension @ X @ Y @ W @ V ))).
% 0.37/2.21 thf(zip_derived_cl3, plain,
% 0.37/2.21 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.37/2.21 (between @ X0 @ X1 @ (extension @ X0 @ X1 @ X2 @ X3))),
% 0.37/2.21 inference('cnf', [status(esa)], [segment_construction1])).
% 0.37/2.21 thf(zip_derived_cl149, plain,
% 0.37/2.21 (![X0 : $i, X2 : $i]: (between @ X2 @ X0 @ X0)),
% 0.37/2.21 inference('s_sup+', [status(thm)], [zip_derived_cl147, zip_derived_cl3])).
% 0.37/2.21 thf(zip_derived_cl189, plain,
% 0.37/2.21 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.37/2.21 ( (between @ X2 @ X0 @ X1)
% 0.37/2.21 | ~ (between @ X0 @ X2 @ X3)
% 0.37/2.21 | ~ (between @ X1 @ X0 @ X3))),
% 0.37/2.21 inference('simplify', [status(thm)], [zip_derived_cl187])).
% 0.37/2.21 thf(zip_derived_cl192, plain,
% 0.37/2.21 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.37/2.21 ( (between @ X0 @ X1 @ X2) | ~ (between @ X2 @ X1 @ X0))),
% 0.37/2.21 inference('s_sup-', [status(thm)], [zip_derived_cl149, zip_derived_cl189])).
% 0.37/2.21 thf(zip_derived_cl218, plain, ( (between @ c @ d @ a)),
% 0.37/2.21 inference('s_sup-', [status(thm)], [zip_derived_cl205, zip_derived_cl192])).
% 0.37/2.21 thf(zip_derived_cl21, plain, ( (between @ a @ c @ d)),
% 0.37/2.21 inference('cnf', [status(esa)], [c_between_a_and_d])).
% 0.37/2.21 thf(zip_derived_cl192, plain,
% 0.37/2.21 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.37/2.21 ( (between @ X0 @ X1 @ X2) | ~ (between @ X2 @ X1 @ X0))),
% 0.37/2.21 inference('s_sup-', [status(thm)], [zip_derived_cl149, zip_derived_cl189])).
% 0.37/2.21 thf(zip_derived_cl217, plain, ( (between @ d @ c @ a)),
% 0.37/2.21 inference('s_sup-', [status(thm)], [zip_derived_cl21, zip_derived_cl192])).
% 0.37/2.21 thf(zip_derived_cl189, plain,
% 0.37/2.21 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.37/2.21 ( (between @ X2 @ X0 @ X1)
% 0.37/2.21 | ~ (between @ X0 @ X2 @ X3)
% 0.37/2.21 | ~ (between @ X1 @ X0 @ X3))),
% 0.37/2.21 inference('simplify', [status(thm)], [zip_derived_cl187])).
% 0.37/2.21 thf(zip_derived_cl226, plain,
% 0.37/2.21 (![X0 : $i]: ( (between @ c @ d @ X0) | ~ (between @ X0 @ d @ a))),
% 0.37/2.21 inference('s_sup-', [status(thm)], [zip_derived_cl217, zip_derived_cl189])).
% 0.37/2.21 thf(zip_derived_cl244, plain, ( (between @ c @ d @ c)),
% 0.37/2.21 inference('s_sup-', [status(thm)], [zip_derived_cl218, zip_derived_cl226])).
% 0.37/2.21 thf(zip_derived_cl6, plain,
% 0.37/2.21 (![X0 : $i, X1 : $i]: (~ (between @ X0 @ X1 @ X0) | ((X0) = (X1)))),
% 0.37/2.21 inference('cnf', [status(esa)], [identity_for_betweeness])).
% 0.37/2.21 thf(zip_derived_cl247, plain, (((c) = (d))),
% 0.37/2.21 inference('s_sup-', [status(thm)], [zip_derived_cl244, zip_derived_cl6])).
% 0.37/2.21 thf(c_not_d, axiom, (( c ) != ( d ))).
% 0.37/2.21 thf(zip_derived_cl20, plain, (((c) != (d))),
% 0.37/2.21 inference('cnf', [status(esa)], [c_not_d])).
% 0.37/2.21 thf(zip_derived_cl250, plain, ($false),
% 0.37/2.21 inference('simplify_reflect-', [status(thm)],
% 0.37/2.21 [zip_derived_cl247, zip_derived_cl20])).
% 0.37/2.21
% 0.37/2.21 % SZS output end Refutation
% 0.37/2.21
% 0.37/2.21
% 0.37/2.21 % Terminating...
% 1.75/2.48 % Runner terminated.
% 1.75/2.49 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------