%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GEO062-3 : TPTP v9.2.0. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.xXU6mMwDKh true
% Computer : n005.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 04:33:46 PM UTC 2025
% Result : Unsatisfiable 23.58s 3.99s
% Output : Refutation 23.58s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : GEO062-3 : TPTP v9.2.0. Bugfixed v1.2.1.
% 0.07/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.xXU6mMwDKh true
% 0.14/0.34 % Computer : n005.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Wed Oct 1 17:35:53 EDT 2025
% 0.14/0.34 % CPUTime :
% 0.14/0.34 % Running portfolio for 300 s
% 0.14/0.34 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.34 % Number of cores: 8
% 0.14/0.35 % Python version: Python 3.6.8
% 0.14/0.35 % Running in FO mode
% 0.20/0.60 % Total configuration time : 435
% 0.20/0.60 % Estimated wc time : 1092
% 0.20/0.60 % Estimated cpu time (7 cpus) : 156.0
% 0.70/0.71 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.70/0.72 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.70/0.73 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.70/0.73 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.70/0.73 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.70/0.73 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.70/0.73 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 23.58/3.99 % Solved by fo/fo13.sh.
% 23.58/3.99 % done 1898 iterations in 3.238s
% 23.58/3.99 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 23.58/3.99 % SZS output start Refutation
% 23.58/3.99 thf(between_type, type, between: $i > $i > $i > $o).
% 23.58/3.99 thf(insertion_type, type, insertion: $i > $i > $i > $i > $i).
% 23.58/3.99 thf(w_type, type, w: $i).
% 23.58/3.99 thf(equidistant_type, type, equidistant: $i > $i > $i > $i > $o).
% 23.58/3.99 thf(v_type, type, v: $i).
% 23.58/3.99 thf(u_type, type, u: $i).
% 23.58/3.99 thf(v_between_u_and_w, axiom, (between @ u @ v @ w)).
% 23.58/3.99 thf(zip_derived_cl73, plain, ( (between @ u @ v @ w)),
% 23.58/3.99 inference('cnf', [status(esa)], [v_between_u_and_w])).
% 23.58/3.99 thf(d1, axiom, (equidistant @ U @ V @ U @ V)).
% 23.58/3.99 thf(zip_derived_cl20, plain,
% 23.58/3.99 (![X0 : $i, X1 : $i]: (equidistant @ X0 @ X1 @ X0 @ X1)),
% 23.58/3.99 inference('cnf', [status(esa)], [d1])).
% 23.58/3.99 thf(i2_3, axiom,
% 23.58/3.99 (( ~( between @ U @ V @ W ) ) | ( ~( equidistant @ U @ W @ U1 @ W1 ) ) |
% 23.58/3.99 ( equidistant @ V @ W @ ( insertion @ U1 @ W1 @ U @ V ) @ W1 ))).
% 23.58/3.99 thf(zip_derived_cl72, plain,
% 23.58/3.99 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 23.58/3.99 (~ (between @ X0 @ X1 @ X2)
% 23.58/3.99 | ~ (equidistant @ X0 @ X2 @ X3 @ X4)
% 23.58/3.99 | (equidistant @ X1 @ X2 @ (insertion @ X3 @ X4 @ X0 @ X1) @ X4))),
% 23.58/3.99 inference('cnf', [status(esa)], [i2_3])).
% 23.58/3.99 thf(zip_derived_cl377, plain,
% 23.58/3.99 (![X0 : $i, X1 : $i, X2 : $i]:
% 23.58/3.99 (~ (between @ X1 @ X2 @ X0)
% 23.58/3.99 | (equidistant @ X2 @ X0 @ (insertion @ X1 @ X0 @ X1 @ X2) @ X0))),
% 23.58/3.99 inference('s_sup-', [status(thm)], [zip_derived_cl20, zip_derived_cl72])).
% 23.58/3.99 thf(zip_derived_cl8648, plain,
% 23.58/3.99 ( (equidistant @ v @ w @ (insertion @ u @ w @ u @ v) @ w)),
% 23.58/3.99 inference('s_sup-', [status(thm)], [zip_derived_cl73, zip_derived_cl377])).
% 23.58/3.99 thf(d4_2, axiom,
% 23.58/3.99 (( ~( equidistant @ U @ V @ W @ X ) ) | ( equidistant @ V @ U @ X @ W ))).
% 23.58/3.99 thf(zip_derived_cl24, plain,
% 23.58/3.99 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 23.58/3.99 (~ (equidistant @ X0 @ X1 @ X2 @ X3)
% 23.58/3.99 | (equidistant @ X1 @ X0 @ X3 @ X2))),
% 23.58/3.99 inference('cnf', [status(esa)], [d4_2])).
% 23.58/3.99 thf(zip_derived_cl9608, plain,
% 23.58/3.99 ( (equidistant @ w @ v @ w @ (insertion @ u @ w @ u @ v))),
% 23.58/3.99 inference('s_sup-', [status(thm)], [zip_derived_cl8648, zip_derived_cl24])).
% 23.58/3.99 thf(i2_1, axiom,
% 23.58/3.99 (equidistant @ U @ V @ U1 @ ( insertion @ U1 @ W1 @ U @ V ))).
% 23.58/3.99 thf(zip_derived_cl70, plain,
% 23.58/3.99 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 23.58/3.99 (equidistant @ X0 @ X1 @ X2 @ (insertion @ X2 @ X3 @ X0 @ X1))),
% 23.58/3.99 inference('cnf', [status(esa)], [i2_1])).
% 23.58/3.99 thf(d15, axiom,
% 23.58/3.99 (( ~( between @ U @ V @ W ) ) | ( ~( equidistant @ U @ V @ U @ X ) ) |
% 23.58/3.99 ( ~( equidistant @ W @ V @ W @ X ) ) | ( ( V ) = ( X ) ))).
% 23.58/3.99 thf(zip_derived_cl69, plain,
% 23.58/3.99 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 23.58/3.99 (~ (between @ X0 @ X1 @ X2)
% 23.58/3.99 | ~ (equidistant @ X0 @ X1 @ X0 @ X3)
% 23.58/3.99 | ~ (equidistant @ X2 @ X1 @ X2 @ X3)
% 23.58/3.99 | ((X1) = (X3)))),
% 23.58/3.99 inference('cnf', [status(esa)], [d15])).
% 23.58/3.99 thf(zip_derived_cl215, plain,
% 23.58/3.99 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 23.58/3.99 (~ (between @ X1 @ X0 @ X3)
% 23.58/3.99 | ~ (equidistant @ X3 @ X0 @ X3 @ (insertion @ X1 @ X2 @ X1 @ X0))
% 23.58/3.99 | ((X0) = (insertion @ X1 @ X2 @ X1 @ X0)))),
% 23.58/3.99 inference('s_sup-', [status(thm)], [zip_derived_cl70, zip_derived_cl69])).
% 23.58/3.99 thf(zip_derived_cl12081, plain,
% 23.58/3.99 ((~ (between @ u @ v @ w) | ((v) = (insertion @ u @ w @ u @ v)))),
% 23.58/3.99 inference('s_sup-', [status(thm)],
% 23.58/3.99 [zip_derived_cl9608, zip_derived_cl215])).
% 23.58/3.99 thf(zip_derived_cl73, plain, ( (between @ u @ v @ w)),
% 23.58/3.99 inference('cnf', [status(esa)], [v_between_u_and_w])).
% 23.58/3.99 thf(zip_derived_cl12093, plain, (((v) = (insertion @ u @ w @ u @ v))),
% 23.58/3.99 inference('demod', [status(thm)], [zip_derived_cl12081, zip_derived_cl73])).
% 23.58/3.99 thf(prove_v_equals_insertion, conjecture,
% 23.58/3.99 (( v ) = ( insertion @ u @ w @ u @ v ))).
% 23.58/3.99 thf(zf_stmt_0, negated_conjecture, (( v ) != ( insertion @ u @ w @ u @ v )),
% 23.58/3.99 inference('cnf.neg', [status(esa)], [prove_v_equals_insertion])).
% 23.58/3.99 thf(zip_derived_cl74, plain, (((v) != (insertion @ u @ w @ u @ v))),
% 23.58/3.99 inference('cnf', [status(esa)], [zf_stmt_0])).
% 23.58/3.99 thf(zip_derived_cl12094, plain, ($false),
% 23.58/3.99 inference('simplify_reflect-', [status(thm)],
% 23.58/3.99 [zip_derived_cl12093, zip_derived_cl74])).
% 23.58/3.99
% 23.58/3.99 % SZS output end Refutation
% 23.58/3.99
% 23.58/3.99
% 23.58/3.99 % Terminating...
% 23.58/4.04 % Runner terminated.
% 23.58/4.05 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------