%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GEO059-3 : 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.LW4zQ3MxYZ 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 04:33:45 PM UTC 2025
% Result : Unsatisfiable 0.53s 0.80s
% Output : Refutation 0.53s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GEO059-3 : TPTP v9.2.0. Released v1.0.0.
% 0.11/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.LW4zQ3MxYZ true
% 0.12/0.34 % Computer : n004.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Wed Oct 1 17:32:53 EDT 2025
% 0.12/0.34 % CPUTime :
% 0.12/0.34 % Running portfolio for 300 s
% 0.12/0.34 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.34 % Number of cores: 8
% 0.12/0.34 % Python version: Python 3.6.8
% 0.12/0.34 % Running in FO mode
% 0.51/0.62 % Total configuration time : 435
% 0.51/0.62 % Estimated wc time : 1092
% 0.51/0.62 % Estimated cpu time (7 cpus) : 156.0
% 0.52/0.70 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.52/0.71 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.52/0.71 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.52/0.72 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.53/0.73 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.53/0.73 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.53/0.74 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.53/0.80 % Solved by fo/fo13.sh.
% 0.53/0.80 % done 43 iterations in 0.042s
% 0.53/0.80 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.53/0.80 % SZS output start Refutation
% 0.53/0.80 thf(u_type, type, u: $i).
% 0.53/0.80 thf(v_type, type, v: $i).
% 0.53/0.80 thf(reflection_type, type, reflection: $i > $i > $i).
% 0.53/0.80 thf(equidistant_type, type, equidistant: $i > $i > $i > $i > $o).
% 0.53/0.80 thf(reflexivity_for_equidistance, axiom, (equidistant @ X @ Y @ Y @ X)).
% 0.53/0.80 thf(zip_derived_cl0, plain,
% 0.53/0.80 (![X0 : $i, X1 : $i]: (equidistant @ X0 @ X1 @ X1 @ X0)),
% 0.53/0.80 inference('cnf', [status(esa)], [reflexivity_for_equidistance])).
% 0.53/0.80 thf(r2_2, axiom, (equidistant @ V @ ( reflection @ U @ V ) @ U @ V)).
% 0.53/0.80 thf(zip_derived_cl31, plain,
% 0.53/0.80 (![X0 : $i, X1 : $i]:
% 0.53/0.80 (equidistant @ X0 @ (reflection @ X1 @ X0) @ X1 @ X0)),
% 0.53/0.80 inference('cnf', [status(esa)], [r2_2])).
% 0.53/0.80 thf(zip_derived_cl0, plain,
% 0.53/0.80 (![X0 : $i, X1 : $i]: (equidistant @ X0 @ X1 @ X1 @ X0)),
% 0.53/0.80 inference('cnf', [status(esa)], [reflexivity_for_equidistance])).
% 0.53/0.80 thf(prove_congruence, conjecture,
% 0.53/0.80 (equidistant @ v @ u @ v @ ( reflection @ ( reflection @ u @ v ) @ v ))).
% 0.53/0.80 thf(zf_stmt_0, negated_conjecture,
% 0.53/0.80 (~( equidistant @ v @ u @ v @ ( reflection @ ( reflection @ u @ v ) @ v ) )),
% 0.53/0.80 inference('cnf.neg', [status(esa)], [prove_congruence])).
% 0.53/0.80 thf(zip_derived_cl41, plain,
% 0.53/0.80 (~ (equidistant @ v @ u @ v @ (reflection @ (reflection @ u @ v) @ v))),
% 0.53/0.80 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.53/0.80 thf(transitivity_for_equidistance, axiom,
% 0.53/0.80 (( ~( equidistant @ X @ Y @ Z @ V ) ) |
% 0.53/0.80 ( ~( equidistant @ X @ Y @ V2 @ W ) ) | ( equidistant @ Z @ V @ V2 @ W ))).
% 0.53/0.80 thf(zip_derived_cl1, plain,
% 0.53/0.80 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 0.53/0.80 (~ (equidistant @ X0 @ X1 @ X2 @ X3)
% 0.53/0.80 | ~ (equidistant @ X0 @ X1 @ X4 @ X5)
% 0.53/0.80 | (equidistant @ X2 @ X3 @ X4 @ X5))),
% 0.53/0.80 inference('cnf', [status(esa)], [transitivity_for_equidistance])).
% 0.53/0.80 thf(zip_derived_cl57, plain,
% 0.53/0.80 (![X0 : $i, X1 : $i]:
% 0.53/0.80 (~ (equidistant @ X1 @ X0 @ v @ u)
% 0.53/0.80 | ~ (equidistant @ X1 @ X0 @ v @
% 0.53/0.80 (reflection @ (reflection @ u @ v) @ v)))),
% 0.53/0.80 inference('s_sup+', [status(thm)], [zip_derived_cl41, zip_derived_cl1])).
% 0.53/0.80 thf(zip_derived_cl58, plain,
% 0.53/0.80 (~ (equidistant @ u @ v @ v @ (reflection @ (reflection @ u @ v) @ v))),
% 0.53/0.80 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl57])).
% 0.53/0.80 thf(zip_derived_cl1, plain,
% 0.53/0.80 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 0.53/0.80 (~ (equidistant @ X0 @ X1 @ X2 @ X3)
% 0.53/0.80 | ~ (equidistant @ X0 @ X1 @ X4 @ X5)
% 0.53/0.80 | (equidistant @ X2 @ X3 @ X4 @ X5))),
% 0.53/0.80 inference('cnf', [status(esa)], [transitivity_for_equidistance])).
% 0.53/0.80 thf(zip_derived_cl61, plain,
% 0.53/0.80 (![X0 : $i, X1 : $i]:
% 0.53/0.80 (~ (equidistant @ X1 @ X0 @ u @ v)
% 0.53/0.80 | ~ (equidistant @ X1 @ X0 @ v @
% 0.53/0.80 (reflection @ (reflection @ u @ v) @ v)))),
% 0.53/0.80 inference('s_sup+', [status(thm)], [zip_derived_cl58, zip_derived_cl1])).
% 0.53/0.80 thf(zip_derived_cl64, plain,
% 0.53/0.80 (~ (equidistant @ v @ (reflection @ u @ v) @ v @
% 0.53/0.80 (reflection @ (reflection @ u @ v) @ v))),
% 0.53/0.80 inference('s_sup-', [status(thm)], [zip_derived_cl31, zip_derived_cl61])).
% 0.53/0.80 thf(zip_derived_cl1, plain,
% 0.53/0.80 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 0.53/0.80 (~ (equidistant @ X0 @ X1 @ X2 @ X3)
% 0.53/0.80 | ~ (equidistant @ X0 @ X1 @ X4 @ X5)
% 0.53/0.80 | (equidistant @ X2 @ X3 @ X4 @ X5))),
% 0.53/0.80 inference('cnf', [status(esa)], [transitivity_for_equidistance])).
% 0.53/0.80 thf(zip_derived_cl66, plain,
% 0.53/0.80 (![X0 : $i, X1 : $i]:
% 0.53/0.80 (~ (equidistant @ X1 @ X0 @ v @ (reflection @ u @ v))
% 0.53/0.80 | ~ (equidistant @ X1 @ X0 @ v @
% 0.53/0.80 (reflection @ (reflection @ u @ v) @ v)))),
% 0.53/0.80 inference('s_sup+', [status(thm)], [zip_derived_cl64, zip_derived_cl1])).
% 0.53/0.80 thf(zip_derived_cl82, plain,
% 0.53/0.80 (~ (equidistant @ (reflection @ u @ v) @ v @ v @
% 0.53/0.80 (reflection @ (reflection @ u @ v) @ v))),
% 0.53/0.80 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl66])).
% 0.53/0.80 thf(d2, axiom,
% 0.53/0.80 (( ~( equidistant @ U @ V @ W @ X ) ) | ( equidistant @ W @ X @ U @ V ))).
% 0.53/0.80 thf(zip_derived_cl20, plain,
% 0.53/0.80 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.53/0.80 (~ (equidistant @ X0 @ X1 @ X2 @ X3)
% 0.53/0.80 | (equidistant @ X2 @ X3 @ X0 @ X1))),
% 0.53/0.80 inference('cnf', [status(esa)], [d2])).
% 0.53/0.80 thf(zip_derived_cl101, plain,
% 0.53/0.80 (~ (equidistant @ v @ (reflection @ (reflection @ u @ v) @ v) @
% 0.53/0.80 (reflection @ u @ v) @ v)),
% 0.53/0.80 inference('s_sup+', [status(thm)], [zip_derived_cl82, zip_derived_cl20])).
% 0.53/0.80 thf(zip_derived_cl31, plain,
% 0.53/0.80 (![X0 : $i, X1 : $i]:
% 0.53/0.80 (equidistant @ X0 @ (reflection @ X1 @ X0) @ X1 @ X0)),
% 0.53/0.80 inference('cnf', [status(esa)], [r2_2])).
% 0.53/0.80 thf(zip_derived_cl107, plain, ($false),
% 0.53/0.80 inference('demod', [status(thm)], [zip_derived_cl101, zip_derived_cl31])).
% 0.53/0.80
% 0.53/0.80 % SZS output end Refutation
% 0.53/0.80
% 0.53/0.80
% 0.53/0.80 % Terminating...
% 0.53/0.83 % Runner terminated.
% 0.53/0.85 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------