%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GEO058-2 : 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.lBf78vZkDF 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 04:33:45 PM UTC 2025
% Result : Unsatisfiable 0.55s 0.75s
% Output : Refutation 0.55s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO058-2 : TPTP v9.2.0. Released v1.0.0.
% 0.07/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.lBf78vZkDF true
% 0.13/0.34 % Computer : n018.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Wed Oct 1 17:37:53 EDT 2025
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % Running portfolio for 300 s
% 0.13/0.34 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.34 % Number of cores: 8
% 0.13/0.35 % Python version: Python 3.6.8
% 0.13/0.35 % Running in FO mode
% 0.53/0.66 % Total configuration time : 435
% 0.53/0.66 % Estimated wc time : 1092
% 0.53/0.66 % Estimated cpu time (7 cpus) : 156.0
% 0.55/0.69 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.55/0.73 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.55/0.73 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.55/0.73 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.55/0.74 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.55/0.75 % Solved by fo/fo6_bce.sh.
% 0.55/0.75 % BCE start: 21
% 0.55/0.75 % BCE eliminated: 0
% 0.55/0.75 % PE start: 21
% 0.55/0.75 logic: eq
% 0.55/0.75 % PE eliminated: 0
% 0.55/0.75 % done 45 iterations in 0.035s
% 0.55/0.75 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.55/0.75 % SZS output start Refutation
% 0.55/0.75 thf(reflection_type, type, reflection: $i > $i > $i).
% 0.55/0.75 thf(equidistant_type, type, equidistant: $i > $i > $i > $i > $o).
% 0.55/0.75 thf(v_type, type, v: $i).
% 0.55/0.75 thf(u_type, type, u: $i).
% 0.55/0.75 thf(extension_type, type, extension: $i > $i > $i > $i > $i).
% 0.55/0.75 thf(reflexivity_for_equidistance, axiom, (equidistant @ X @ Y @ Y @ X)).
% 0.55/0.75 thf(zip_derived_cl0, plain,
% 0.55/0.75 (![X0 : $i, X1 : $i]: (equidistant @ X0 @ X1 @ X1 @ X0)),
% 0.55/0.75 inference('cnf', [status(esa)], [reflexivity_for_equidistance])).
% 0.55/0.75 thf(v_equals_reflection, axiom, (( v ) = ( reflection @ u @ v ))).
% 0.55/0.75 thf(zip_derived_cl19, plain, (((v) = (reflection @ u @ v))),
% 0.55/0.75 inference('cnf', [status(esa)], [v_equals_reflection])).
% 0.55/0.75 thf(reflection, axiom,
% 0.55/0.75 (( reflection @ U @ V ) = ( extension @ U @ V @ U @ V ))).
% 0.55/0.75 thf(zip_derived_cl18, plain,
% 0.55/0.75 (![X0 : $i, X1 : $i]:
% 0.55/0.75 ((reflection @ X0 @ X1) = (extension @ X0 @ X1 @ X0 @ X1))),
% 0.55/0.75 inference('cnf', [status(esa)], [reflection])).
% 0.55/0.75 thf(segment_construction2, axiom,
% 0.55/0.75 (equidistant @ Y @ ( extension @ X @ Y @ W @ V ) @ W @ V)).
% 0.55/0.75 thf(zip_derived_cl4, plain,
% 0.55/0.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.55/0.75 (equidistant @ X0 @ (extension @ X1 @ X0 @ X2 @ X3) @ X2 @ X3)),
% 0.55/0.75 inference('cnf', [status(esa)], [segment_construction2])).
% 0.55/0.75 thf(zip_derived_cl143, plain,
% 0.55/0.75 (![X0 : $i, X1 : $i]:
% 0.55/0.75 (equidistant @ X0 @ (reflection @ X1 @ X0) @ X1 @ X0)),
% 0.55/0.75 inference('s_sup+', [status(thm)], [zip_derived_cl18, zip_derived_cl4])).
% 0.55/0.75 thf(zip_derived_cl174, plain, ( (equidistant @ v @ v @ u @ v)),
% 0.55/0.75 inference('s_sup+', [status(thm)], [zip_derived_cl19, zip_derived_cl143])).
% 0.55/0.75 thf(zip_derived_cl4, plain,
% 0.55/0.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.55/0.75 (equidistant @ X0 @ (extension @ X1 @ X0 @ X2 @ X3) @ X2 @ X3)),
% 0.55/0.75 inference('cnf', [status(esa)], [segment_construction2])).
% 0.55/0.75 thf(identity_for_equidistance, axiom,
% 0.55/0.75 (( ~( equidistant @ X @ Y @ Z @ Z ) ) | ( ( X ) = ( Y ) ))).
% 0.55/0.75 thf(zip_derived_cl2, plain,
% 0.55/0.75 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.55/0.75 (~ (equidistant @ X0 @ X1 @ X2 @ X2) | ((X0) = (X1)))),
% 0.55/0.75 inference('cnf', [status(esa)], [identity_for_equidistance])).
% 0.55/0.75 thf(zip_derived_cl141, plain,
% 0.55/0.75 (![X0 : $i, X1 : $i, X2 : $i]: ((X1) = (extension @ X2 @ X1 @ X0 @ X0))),
% 0.55/0.75 inference('s_sup-', [status(thm)], [zip_derived_cl4, zip_derived_cl2])).
% 0.55/0.75 thf(zip_derived_cl4, plain,
% 0.55/0.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.55/0.75 (equidistant @ X0 @ (extension @ X1 @ X0 @ X2 @ X3) @ X2 @ X3)),
% 0.55/0.75 inference('cnf', [status(esa)], [segment_construction2])).
% 0.55/0.75 thf(zip_derived_cl145, plain,
% 0.55/0.75 (![X0 : $i, X1 : $i]: (equidistant @ X0 @ X0 @ X1 @ X1)),
% 0.55/0.75 inference('s_sup+', [status(thm)], [zip_derived_cl141, zip_derived_cl4])).
% 0.55/0.75 thf(transitivity_for_equidistance, axiom,
% 0.55/0.75 (( ~( equidistant @ X @ Y @ Z @ V ) ) |
% 0.55/0.75 ( ~( equidistant @ X @ Y @ V2 @ W ) ) | ( equidistant @ Z @ V @ V2 @ W ))).
% 0.55/0.75 thf(zip_derived_cl1, plain,
% 0.55/0.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 0.55/0.75 (~ (equidistant @ X0 @ X1 @ X2 @ X3)
% 0.55/0.75 | ~ (equidistant @ X0 @ X1 @ X4 @ X5)
% 0.55/0.75 | (equidistant @ X2 @ X3 @ X4 @ X5))),
% 0.55/0.75 inference('cnf', [status(esa)], [transitivity_for_equidistance])).
% 0.55/0.75 thf(zip_derived_cl158, plain,
% 0.55/0.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.55/0.75 (~ (equidistant @ X1 @ X1 @ X3 @ X2)
% 0.55/0.75 | (equidistant @ X0 @ X0 @ X3 @ X2))),
% 0.55/0.75 inference('s_sup-', [status(thm)], [zip_derived_cl145, zip_derived_cl1])).
% 0.55/0.75 thf(zip_derived_cl178, plain, (![X0 : $i]: (equidistant @ X0 @ X0 @ u @ v)),
% 0.55/0.75 inference('s_sup-', [status(thm)], [zip_derived_cl174, zip_derived_cl158])).
% 0.55/0.75 thf(zip_derived_cl1, plain,
% 0.55/0.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 0.55/0.75 (~ (equidistant @ X0 @ X1 @ X2 @ X3)
% 0.55/0.75 | ~ (equidistant @ X0 @ X1 @ X4 @ X5)
% 0.55/0.75 | (equidistant @ X2 @ X3 @ X4 @ X5))),
% 0.55/0.75 inference('cnf', [status(esa)], [transitivity_for_equidistance])).
% 0.55/0.75 thf(zip_derived_cl179, plain,
% 0.55/0.75 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.55/0.75 (~ (equidistant @ X0 @ X0 @ X2 @ X1)
% 0.55/0.75 | (equidistant @ u @ v @ X2 @ X1))),
% 0.55/0.75 inference('s_sup-', [status(thm)], [zip_derived_cl178, zip_derived_cl1])).
% 0.55/0.75 thf(zip_derived_cl202, plain, (![X0 : $i]: (equidistant @ u @ v @ X0 @ X0)),
% 0.55/0.75 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl179])).
% 0.55/0.75 thf(zip_derived_cl2, plain,
% 0.55/0.75 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.55/0.75 (~ (equidistant @ X0 @ X1 @ X2 @ X2) | ((X0) = (X1)))),
% 0.55/0.75 inference('cnf', [status(esa)], [identity_for_equidistance])).
% 0.55/0.75 thf(zip_derived_cl208, plain, (((u) = (v))),
% 0.55/0.75 inference('s_sup-', [status(thm)], [zip_derived_cl202, zip_derived_cl2])).
% 0.55/0.75 thf(prove_u_equals_v, conjecture, (( u ) = ( v ))).
% 0.55/0.75 thf(zf_stmt_0, negated_conjecture, (( u ) != ( v )),
% 0.55/0.75 inference('cnf.neg', [status(esa)], [prove_u_equals_v])).
% 0.55/0.75 thf(zip_derived_cl20, plain, (((u) != (v))),
% 0.55/0.75 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.55/0.75 thf(zip_derived_cl212, plain, ($false),
% 0.55/0.75 inference('simplify_reflect-', [status(thm)],
% 0.55/0.75 [zip_derived_cl208, zip_derived_cl20])).
% 0.55/0.75
% 0.55/0.75 % SZS output end Refutation
% 0.55/0.75
% 0.55/0.75
% 0.55/0.75 % Terminating...
% 1.30/0.78 % Runner terminated.
% 1.30/0.79 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------