%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GEO042-2 : TPTP v9.2.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.O8Y871MnzX true
% Computer : n018.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 04:33:42 PM UTC 2025
% Result : Unsatisfiable 0.58s 0.85s
% Output : Refutation 0.58s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : GEO042-2 : TPTP v9.2.0. Released v1.0.0.
% 0.12/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.O8Y871MnzX true
% 0.14/0.35 % Computer : n018.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 : Wed Oct 1 17:29:08 EDT 2025
% 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
% 0.14/0.36 % Python version: Python 3.6.8
% 0.14/0.36 % Running in FO mode
% 0.56/0.67 % Total configuration time : 435
% 0.56/0.67 % Estimated wc time : 1092
% 0.56/0.67 % Estimated cpu time (7 cpus) : 156.0
% 0.57/0.74 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.57/0.74 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.57/0.74 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.57/0.76 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.57/0.76 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.58/0.76 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.58/0.77 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.58/0.85 % Solved by fo/fo6_bce.sh.
% 0.58/0.85 % BCE start: 21
% 0.58/0.85 % BCE eliminated: 0
% 0.58/0.85 % PE start: 21
% 0.58/0.85 logic: eq
% 0.58/0.85 % PE eliminated: 0
% 0.58/0.85 % done 45 iterations in 0.078s
% 0.58/0.85 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.58/0.85 % SZS output start Refutation
% 0.58/0.85 thf(between_type, type, between: $i > $i > $i > $o).
% 0.58/0.85 thf(w_type, type, w: $i).
% 0.58/0.85 thf(u_type, type, u: $i).
% 0.58/0.85 thf(v_type, type, v: $i).
% 0.58/0.85 thf(x_type, type, x: $i).
% 0.58/0.85 thf(equidistant_type, type, equidistant: $i > $i > $i > $i > $o).
% 0.58/0.85 thf(inner_pasch_type, type, inner_pasch: $i > $i > $i > $i > $i > $i).
% 0.58/0.85 thf(extension_type, type, extension: $i > $i > $i > $i > $i).
% 0.58/0.85 thf(prove_v_between_u_and_w, conjecture, (between @ u @ v @ w)).
% 0.58/0.85 thf(zf_stmt_0, negated_conjecture, (~( between @ u @ v @ w )),
% 0.58/0.85 inference('cnf.neg', [status(esa)], [prove_v_between_u_and_w])).
% 0.58/0.85 thf(zip_derived_cl20, plain, (~ (between @ u @ v @ w)),
% 0.58/0.85 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.58/0.85 thf(v_between_u_and_x, axiom, (between @ u @ v @ x)).
% 0.58/0.85 thf(zip_derived_cl18, plain, ( (between @ u @ v @ x)),
% 0.58/0.85 inference('cnf', [status(esa)], [v_between_u_and_x])).
% 0.58/0.85 thf(w_between_v_and_x, axiom, (between @ v @ w @ x)).
% 0.58/0.85 thf(zip_derived_cl19, plain, ( (between @ v @ w @ x)),
% 0.58/0.85 inference('cnf', [status(esa)], [w_between_v_and_x])).
% 0.58/0.85 thf(inner_pasch1, axiom,
% 0.58/0.85 (( ~( between @ U @ V @ W ) ) | ( ~( between @ Y @ X @ W ) ) |
% 0.58/0.85 ( between @ V @ ( inner_pasch @ U @ V @ W @ X @ Y ) @ Y ))).
% 0.58/0.85 thf(zip_derived_cl7, plain,
% 0.58/0.85 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 0.58/0.85 (~ (between @ X0 @ X1 @ X2)
% 0.58/0.85 | ~ (between @ X3 @ X4 @ X2)
% 0.58/0.85 | (between @ X1 @ (inner_pasch @ X0 @ X1 @ X2 @ X4 @ X3) @ X3))),
% 0.58/0.85 inference('cnf', [status(esa)], [inner_pasch1])).
% 0.58/0.85 thf(identity_for_betweeness, axiom,
% 0.58/0.85 (( ~( between @ X @ Y @ X ) ) | ( ( X ) = ( Y ) ))).
% 0.58/0.85 thf(zip_derived_cl6, plain,
% 0.58/0.85 (![X0 : $i, X1 : $i]: (~ (between @ X0 @ X1 @ X0) | ((X0) = (X1)))),
% 0.58/0.85 inference('cnf', [status(esa)], [identity_for_betweeness])).
% 0.58/0.85 thf(zip_derived_cl156, plain,
% 0.58/0.85 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.58/0.85 (~ (between @ X0 @ X1 @ X2)
% 0.58/0.85 | ~ (between @ X3 @ X0 @ X2)
% 0.58/0.85 | ((X0) = (inner_pasch @ X3 @ X0 @ X2 @ X1 @ X0)))),
% 0.58/0.85 inference('s_sup-', [status(thm)], [zip_derived_cl7, zip_derived_cl6])).
% 0.58/0.85 thf(inner_pasch2, axiom,
% 0.58/0.85 (( ~( between @ U @ V @ W ) ) | ( ~( between @ Y @ X @ W ) ) |
% 0.58/0.85 ( between @ X @ ( inner_pasch @ U @ V @ W @ X @ Y ) @ U ))).
% 0.58/0.85 thf(zip_derived_cl8, plain,
% 0.58/0.85 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 0.58/0.85 (~ (between @ X0 @ X1 @ X2)
% 0.58/0.85 | ~ (between @ X3 @ X4 @ X2)
% 0.58/0.85 | (between @ X4 @ (inner_pasch @ X0 @ X1 @ X2 @ X4 @ X3) @ X0))),
% 0.58/0.85 inference('cnf', [status(esa)], [inner_pasch2])).
% 0.58/0.85 thf(zip_derived_cl191, plain,
% 0.58/0.85 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.58/0.85 (~ (between @ X1 @ X0 @ X3)
% 0.58/0.85 | ~ (between @ X0 @ X2 @ X3)
% 0.58/0.85 | ~ (between @ X1 @ X0 @ X3)
% 0.58/0.85 | ~ (between @ X0 @ X2 @ X3)
% 0.58/0.85 | (between @ X2 @ X0 @ X1))),
% 0.58/0.85 inference('s_sup+', [status(thm)], [zip_derived_cl156, zip_derived_cl8])).
% 0.58/0.85 thf(zip_derived_cl193, plain,
% 0.58/0.85 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.58/0.85 ( (between @ X2 @ X0 @ X1)
% 0.58/0.85 | ~ (between @ X0 @ X2 @ X3)
% 0.58/0.85 | ~ (between @ X1 @ X0 @ X3))),
% 0.58/0.85 inference('simplify', [status(thm)], [zip_derived_cl191])).
% 0.58/0.85 thf(zip_derived_cl203, plain,
% 0.58/0.85 (![X0 : $i]: ( (between @ w @ v @ X0) | ~ (between @ X0 @ v @ x))),
% 0.58/0.85 inference('s_sup-', [status(thm)], [zip_derived_cl19, zip_derived_cl193])).
% 0.58/0.85 thf(zip_derived_cl207, plain, ( (between @ w @ v @ u)),
% 0.58/0.85 inference('s_sup-', [status(thm)], [zip_derived_cl18, zip_derived_cl203])).
% 0.58/0.85 thf(segment_construction2, axiom,
% 0.58/0.85 (equidistant @ Y @ ( extension @ X @ Y @ W @ V ) @ W @ V)).
% 0.58/0.85 thf(zip_derived_cl4, plain,
% 0.58/0.85 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.58/0.85 (equidistant @ X0 @ (extension @ X1 @ X0 @ X2 @ X3) @ X2 @ X3)),
% 0.58/0.85 inference('cnf', [status(esa)], [segment_construction2])).
% 0.58/0.85 thf(identity_for_equidistance, axiom,
% 0.58/0.85 (( ~( equidistant @ X @ Y @ Z @ Z ) ) | ( ( X ) = ( Y ) ))).
% 0.58/0.85 thf(zip_derived_cl2, plain,
% 0.58/0.85 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.58/0.85 (~ (equidistant @ X0 @ X1 @ X2 @ X2) | ((X0) = (X1)))),
% 0.58/0.85 inference('cnf', [status(esa)], [identity_for_equidistance])).
% 0.58/0.85 thf(zip_derived_cl145, plain,
% 0.58/0.85 (![X0 : $i, X1 : $i, X2 : $i]: ((X1) = (extension @ X2 @ X1 @ X0 @ X0))),
% 0.58/0.85 inference('s_sup-', [status(thm)], [zip_derived_cl4, zip_derived_cl2])).
% 0.58/0.85 thf(segment_construction1, axiom,
% 0.58/0.85 (between @ X @ Y @ ( extension @ X @ Y @ W @ V ))).
% 0.58/0.85 thf(zip_derived_cl3, plain,
% 0.58/0.85 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.58/0.85 (between @ X0 @ X1 @ (extension @ X0 @ X1 @ X2 @ X3))),
% 0.58/0.85 inference('cnf', [status(esa)], [segment_construction1])).
% 0.58/0.85 thf(zip_derived_cl157, plain,
% 0.58/0.85 (![X0 : $i, X2 : $i]: (between @ X2 @ X0 @ X0)),
% 0.58/0.85 inference('s_sup+', [status(thm)], [zip_derived_cl145, zip_derived_cl3])).
% 0.58/0.85 thf(zip_derived_cl193, plain,
% 0.58/0.85 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.58/0.85 ( (between @ X2 @ X0 @ X1)
% 0.58/0.85 | ~ (between @ X0 @ X2 @ X3)
% 0.58/0.85 | ~ (between @ X1 @ X0 @ X3))),
% 0.58/0.85 inference('simplify', [status(thm)], [zip_derived_cl191])).
% 0.58/0.85 thf(zip_derived_cl196, plain,
% 0.58/0.85 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.58/0.85 ( (between @ X0 @ X1 @ X2) | ~ (between @ X2 @ X1 @ X0))),
% 0.58/0.85 inference('s_sup-', [status(thm)], [zip_derived_cl157, zip_derived_cl193])).
% 0.58/0.85 thf(zip_derived_cl218, plain, ( (between @ u @ v @ w)),
% 0.58/0.85 inference('s_sup-', [status(thm)], [zip_derived_cl207, zip_derived_cl196])).
% 0.58/0.85 thf(zip_derived_cl226, plain, ($false),
% 0.58/0.85 inference('demod', [status(thm)], [zip_derived_cl20, zip_derived_cl218])).
% 0.58/0.85
% 0.58/0.85 % SZS output end Refutation
% 0.58/0.85
% 0.58/0.85
% 0.58/0.85 % Terminating...
% 0.65/0.97 % Runner terminated.
% 0.65/0.98 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------