%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GEO022-2 : 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.2BQCVTnCiZ true
% Computer : n016.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 04:33:38 PM UTC 2025
% Result : Unsatisfiable 0.55s 0.76s
% Output : Refutation 0.55s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GEO022-2 : TPTP v9.2.0. Released v1.0.0.
% 0.11/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.2BQCVTnCiZ true
% 0.13/0.35 % Computer : n016.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Wed Oct 1 17:35:08 EDT 2025
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % Running portfolio for 300 s
% 0.13/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.35 % Number of cores: 8
% 0.13/0.35 % Python version: Python 3.6.8
% 0.13/0.35 % Running in FO mode
% 0.53/0.64 % Total configuration time : 435
% 0.53/0.64 % Estimated wc time : 1092
% 0.53/0.64 % Estimated cpu time (7 cpus) : 156.0
% 0.53/0.70 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.53/0.71 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.55/0.75 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.55/0.76 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.55/0.76 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.55/0.76 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.55/0.76 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.55/0.76 % Solved by fo/fo6_bce.sh.
% 0.55/0.76 % BCE start: 21
% 0.55/0.76 % BCE eliminated: 0
% 0.55/0.76 % PE start: 21
% 0.55/0.76 logic: eq
% 0.55/0.76 % PE eliminated: 0
% 0.55/0.76 % done 46 iterations in 0.041s
% 0.55/0.76 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.55/0.76 % SZS output start Refutation
% 0.55/0.76 thf(x_type, type, x: $i).
% 0.55/0.76 thf(u_type, type, u: $i).
% 0.55/0.76 thf(v_type, type, v: $i).
% 0.55/0.76 thf(w_type, type, w: $i).
% 0.55/0.76 thf(equidistant_type, type, equidistant: $i > $i > $i > $i > $o).
% 0.55/0.76 thf(y_type, type, y: $i).
% 0.55/0.76 thf(z_type, type, z: $i).
% 0.55/0.76 thf(prove_transitivity, conjecture, (equidistant @ u @ v @ y @ z)).
% 0.55/0.76 thf(zf_stmt_0, negated_conjecture, (~( equidistant @ u @ v @ y @ z )),
% 0.55/0.76 inference('cnf.neg', [status(esa)], [prove_transitivity])).
% 0.55/0.76 thf(zip_derived_cl20, plain, (~ (equidistant @ u @ v @ y @ z)),
% 0.55/0.76 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.55/0.76 thf(w_to_x_equals_y_to_z, axiom, (equidistant @ w @ x @ y @ z)).
% 0.55/0.76 thf(zip_derived_cl19, plain, ( (equidistant @ w @ x @ y @ z)),
% 0.55/0.76 inference('cnf', [status(esa)], [w_to_x_equals_y_to_z])).
% 0.55/0.76 thf(reflexivity_for_equidistance, axiom, (equidistant @ X @ Y @ Y @ X)).
% 0.55/0.76 thf(zip_derived_cl0, plain,
% 0.55/0.76 (![X0 : $i, X1 : $i]: (equidistant @ X0 @ X1 @ X1 @ X0)),
% 0.55/0.76 inference('cnf', [status(esa)], [reflexivity_for_equidistance])).
% 0.55/0.76 thf(transitivity_for_equidistance, axiom,
% 0.55/0.76 (( ~( equidistant @ X @ Y @ Z @ V ) ) |
% 0.55/0.76 ( ~( equidistant @ X @ Y @ V2 @ W ) ) | ( equidistant @ Z @ V @ V2 @ W ))).
% 0.55/0.76 thf(zip_derived_cl1, plain,
% 0.55/0.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 0.55/0.76 (~ (equidistant @ X0 @ X1 @ X2 @ X3)
% 0.55/0.76 | ~ (equidistant @ X0 @ X1 @ X4 @ X5)
% 0.55/0.76 | (equidistant @ X2 @ X3 @ X4 @ X5))),
% 0.55/0.76 inference('cnf', [status(esa)], [transitivity_for_equidistance])).
% 0.55/0.76 thf(zip_derived_cl136, plain,
% 0.55/0.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.55/0.76 ( (equidistant @ X1 @ X0 @ X1 @ X0)
% 0.55/0.76 | ~ (equidistant @ X3 @ X2 @ X1 @ X0))),
% 0.55/0.76 inference('eq_fact', [status(thm)], [zip_derived_cl1])).
% 0.55/0.76 thf(zip_derived_cl139, plain,
% 0.55/0.76 (![X0 : $i, X1 : $i]: (equidistant @ X1 @ X0 @ X1 @ X0)),
% 0.55/0.76 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl136])).
% 0.55/0.77 thf(u_to_v_equals_w_to_x, axiom, (equidistant @ u @ v @ w @ x)).
% 0.55/0.77 thf(zip_derived_cl18, plain, ( (equidistant @ u @ v @ w @ x)),
% 0.55/0.77 inference('cnf', [status(esa)], [u_to_v_equals_w_to_x])).
% 0.55/0.77 thf(zip_derived_cl1, plain,
% 0.55/0.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 0.55/0.77 (~ (equidistant @ X0 @ X1 @ X2 @ X3)
% 0.55/0.77 | ~ (equidistant @ X0 @ X1 @ X4 @ X5)
% 0.55/0.77 | (equidistant @ X2 @ X3 @ X4 @ X5))),
% 0.55/0.77 inference('cnf', [status(esa)], [transitivity_for_equidistance])).
% 0.55/0.77 thf(zip_derived_cl134, plain,
% 0.55/0.77 (![X0 : $i, X1 : $i]:
% 0.55/0.77 (~ (equidistant @ u @ v @ X1 @ X0) | (equidistant @ w @ x @ X1 @ X0))),
% 0.55/0.77 inference('s_sup-', [status(thm)], [zip_derived_cl18, zip_derived_cl1])).
% 0.55/0.77 thf(zip_derived_cl1, plain,
% 0.55/0.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 0.55/0.77 (~ (equidistant @ X0 @ X1 @ X2 @ X3)
% 0.55/0.77 | ~ (equidistant @ X0 @ X1 @ X4 @ X5)
% 0.55/0.77 | (equidistant @ X2 @ X3 @ X4 @ X5))),
% 0.55/0.77 inference('cnf', [status(esa)], [transitivity_for_equidistance])).
% 0.55/0.77 thf(zip_derived_cl180, plain,
% 0.55/0.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.55/0.77 (~ (equidistant @ u @ v @ X1 @ X0)
% 0.55/0.77 | ~ (equidistant @ w @ x @ X3 @ X2)
% 0.55/0.77 | (equidistant @ X1 @ X0 @ X3 @ X2))),
% 0.55/0.77 inference('s_sup-', [status(thm)], [zip_derived_cl134, zip_derived_cl1])).
% 0.55/0.77 thf(zip_derived_cl213, plain,
% 0.55/0.77 (![X0 : $i, X1 : $i]:
% 0.55/0.77 (~ (equidistant @ w @ x @ X1 @ X0) | (equidistant @ u @ v @ X1 @ X0))),
% 0.55/0.77 inference('s_sup-', [status(thm)], [zip_derived_cl139, zip_derived_cl180])).
% 0.55/0.77 thf(zip_derived_cl226, plain, ( (equidistant @ u @ v @ y @ z)),
% 0.55/0.77 inference('s_sup-', [status(thm)], [zip_derived_cl19, zip_derived_cl213])).
% 0.55/0.77 thf(zip_derived_cl227, plain, ($false),
% 0.55/0.77 inference('demod', [status(thm)], [zip_derived_cl20, zip_derived_cl226])).
% 0.55/0.77
% 0.55/0.77 % SZS output end Refutation
% 0.55/0.77
% 0.55/0.77
% 0.55/0.77 % Terminating...
% 0.57/0.84 % Runner terminated.
% 1.72/0.86 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------