TSTP Solution File: GEO025-2 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : GEO025-2 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.bUcV5RC3qf true

% Computer : n006.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 : Wed Aug 30 23:56:01 EDT 2023

% Result   : Unsatisfiable 11.37s 2.20s
% Output   : Refutation 11.37s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem  : GEO025-2 : TPTP v8.1.2. Released v1.0.0.
% 0.13/0.14  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.bUcV5RC3qf true
% 0.13/0.35  % Computer : n006.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 : Tue Aug 29 23:11:21 EDT 2023
% 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
% 0.13/0.36  % Running in FO mode
% 0.22/0.66  % Total configuration time : 435
% 0.22/0.66  % Estimated wc time : 1092
% 0.22/0.66  % Estimated cpu time (7 cpus) : 156.0
% 0.56/0.71  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.56/0.74  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.56/0.74  % /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
% 0.57/0.77  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.57/0.78  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 11.37/2.20  % Solved by fo/fo3_bce.sh.
% 11.37/2.20  % BCE start: 23
% 11.37/2.20  % BCE eliminated: 0
% 11.37/2.20  % PE start: 23
% 11.37/2.20  logic: eq
% 11.37/2.20  % PE eliminated: 0
% 11.37/2.20  % done 1194 iterations in 1.436s
% 11.37/2.20  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 11.37/2.20  % SZS output start Refutation
% 11.37/2.20  thf(between_type, type, between: $i > $i > $i > $o).
% 11.37/2.20  thf(v1_type, type, v1: $i).
% 11.37/2.20  thf(u_type, type, u: $i).
% 11.37/2.20  thf(v_type, type, v: $i).
% 11.37/2.20  thf(u1_type, type, u1: $i).
% 11.37/2.20  thf(equidistant_type, type, equidistant: $i > $i > $i > $i > $o).
% 11.37/2.20  thf(w_type, type, w: $i).
% 11.37/2.20  thf(w1_type, type, w1: $i).
% 11.37/2.20  thf(extension_type, type, extension: $i > $i > $i > $i > $i).
% 11.37/2.20  thf(v_to_w_equals_v1_to_w1, axiom, (equidistant @ v @ w @ v1 @ w1)).
% 11.37/2.20  thf(zip_derived_cl19, plain, ( (equidistant @ v @ w @ v1 @ w1)),
% 11.37/2.20      inference('cnf', [status(esa)], [v_to_w_equals_v1_to_w1])).
% 11.37/2.20  thf(zip_derived_cl19, plain, ( (equidistant @ v @ w @ v1 @ w1)),
% 11.37/2.20      inference('cnf', [status(esa)], [v_to_w_equals_v1_to_w1])).
% 11.37/2.20  thf(reflexivity_for_equidistance, axiom, (equidistant @ X @ Y @ Y @ X)).
% 11.37/2.20  thf(zip_derived_cl0, plain,
% 11.37/2.20      (![X0 : $i, X1 : $i]:  (equidistant @ X0 @ X1 @ X1 @ X0)),
% 11.37/2.20      inference('cnf', [status(esa)], [reflexivity_for_equidistance])).
% 11.37/2.20  thf(u_to_v_equals_u1_to_v1, axiom, (equidistant @ u @ v @ u1 @ v1)).
% 11.37/2.20  thf(zip_derived_cl18, plain, ( (equidistant @ u @ v @ u1 @ v1)),
% 11.37/2.20      inference('cnf', [status(esa)], [u_to_v_equals_u1_to_v1])).
% 11.37/2.20  thf(transitivity_for_equidistance, axiom,
% 11.37/2.20    (( ~( equidistant @ X @ Y @ Z @ V ) ) | 
% 11.37/2.20     ( ~( equidistant @ X @ Y @ V2 @ W ) ) | ( equidistant @ Z @ V @ V2 @ W ))).
% 11.37/2.20  thf(zip_derived_cl1, plain,
% 11.37/2.20      (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 11.37/2.20         (~ (equidistant @ X0 @ X1 @ X2 @ X3)
% 11.37/2.20          | ~ (equidistant @ X0 @ X1 @ X4 @ X5)
% 11.37/2.20          |  (equidistant @ X2 @ X3 @ X4 @ X5))),
% 11.37/2.20      inference('cnf', [status(esa)], [transitivity_for_equidistance])).
% 11.37/2.20  thf(zip_derived_cl142, plain,
% 11.37/2.20      (![X0 : $i, X1 : $i]:
% 11.37/2.20         ( (equidistant @ u1 @ v1 @ X1 @ X0)
% 11.37/2.20          | ~ (equidistant @ u @ v @ X1 @ X0))),
% 11.37/2.20      inference('sup-', [status(thm)], [zip_derived_cl18, zip_derived_cl1])).
% 11.37/2.20  thf(zip_derived_cl1, plain,
% 11.37/2.20      (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 11.37/2.20         (~ (equidistant @ X0 @ X1 @ X2 @ X3)
% 11.37/2.20          | ~ (equidistant @ X0 @ X1 @ X4 @ X5)
% 11.37/2.20          |  (equidistant @ X2 @ X3 @ X4 @ X5))),
% 11.37/2.20      inference('cnf', [status(esa)], [transitivity_for_equidistance])).
% 11.37/2.20  thf(zip_derived_cl146, plain,
% 11.37/2.20      (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 11.37/2.20         (~ (equidistant @ u @ v @ X1 @ X0)
% 11.37/2.20          |  (equidistant @ X1 @ X0 @ X3 @ X2)
% 11.37/2.20          | ~ (equidistant @ u1 @ v1 @ X3 @ X2))),
% 11.37/2.20      inference('sup-', [status(thm)], [zip_derived_cl142, zip_derived_cl1])).
% 11.37/2.20  thf(zip_derived_cl235, plain,
% 11.37/2.20      (![X0 : $i, X1 : $i]:
% 11.37/2.20         (~ (equidistant @ u1 @ v1 @ X1 @ X0)
% 11.37/2.20          |  (equidistant @ v @ u @ X1 @ X0))),
% 11.37/2.20      inference('sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl146])).
% 11.37/2.20  thf(zip_derived_cl0, plain,
% 11.37/2.20      (![X0 : $i, X1 : $i]:  (equidistant @ X0 @ X1 @ X1 @ X0)),
% 11.37/2.20      inference('cnf', [status(esa)], [reflexivity_for_equidistance])).
% 11.37/2.20  thf(zip_derived_cl334, plain, ( (equidistant @ v @ u @ v1 @ u1)),
% 11.37/2.20      inference('sup+', [status(thm)], [zip_derived_cl235, zip_derived_cl0])).
% 11.37/2.20  thf(zip_derived_cl18, plain, ( (equidistant @ u @ v @ u1 @ v1)),
% 11.37/2.20      inference('cnf', [status(esa)], [u_to_v_equals_u1_to_v1])).
% 11.37/2.20  thf(outer_five_segment, axiom,
% 11.37/2.20    (( ~( equidistant @ X @ Y @ X1 @ Y1 ) ) | 
% 11.37/2.20     ( ~( equidistant @ Y @ Z @ Y1 @ Z1 ) ) | 
% 11.37/2.20     ( ~( equidistant @ X @ V @ X1 @ V1 ) ) | 
% 11.37/2.20     ( ~( equidistant @ Y @ V @ Y1 @ V1 ) ) | ( ~( between @ X @ Y @ Z ) ) | 
% 11.37/2.20     ( ~( between @ X1 @ Y1 @ Z1 ) ) | ( ( X ) = ( Y ) ) | 
% 11.37/2.20     ( equidistant @ Z @ V @ Z1 @ V1 ))).
% 11.37/2.20  thf(zip_derived_cl5, plain,
% 11.37/2.20      (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 11.37/2.20         (~ (equidistant @ X0 @ X1 @ X2 @ X3)
% 11.37/2.20          | ~ (equidistant @ X1 @ X4 @ X3 @ X5)
% 11.37/2.20          | ~ (equidistant @ X0 @ X6 @ X2 @ X7)
% 11.37/2.20          | ~ (equidistant @ X1 @ X6 @ X3 @ X7)
% 11.37/2.20          | ~ (between @ X0 @ X1 @ X4)
% 11.37/2.20          | ~ (between @ X2 @ X3 @ X5)
% 11.37/2.20          | ((X0) = (X1))
% 11.37/2.20          |  (equidistant @ X4 @ X6 @ X5 @ X7))),
% 11.37/2.20      inference('cnf', [status(esa)], [outer_five_segment])).
% 11.37/2.20  thf(zip_derived_cl169, plain,
% 11.37/2.20      (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 11.37/2.20         ( (equidistant @ X3 @ X2 @ X1 @ X0)
% 11.37/2.20          | ((u) = (v))
% 11.37/2.20          | ~ (between @ u1 @ v1 @ X1)
% 11.37/2.20          | ~ (between @ u @ v @ X3)
% 11.37/2.20          | ~ (equidistant @ v @ X2 @ v1 @ X0)
% 11.37/2.20          | ~ (equidistant @ u @ X2 @ u1 @ X0)
% 11.37/2.20          | ~ (equidistant @ v @ X3 @ v1 @ X1))),
% 11.37/2.20      inference('sup-', [status(thm)], [zip_derived_cl18, zip_derived_cl5])).
% 11.37/2.20  thf(zip_derived_cl437, plain,
% 11.37/2.20      (![X0 : $i, X1 : $i]:
% 11.37/2.20         (~ (equidistant @ v @ X1 @ v1 @ X0)
% 11.37/2.20          | ~ (equidistant @ u @ u @ u1 @ u1)
% 11.37/2.20          | ~ (between @ u @ v @ X1)
% 11.37/2.20          | ~ (between @ u1 @ v1 @ X0)
% 11.37/2.20          | ((u) = (v))
% 11.37/2.20          |  (equidistant @ X1 @ u @ X0 @ u1))),
% 11.37/2.20      inference('sup-', [status(thm)], [zip_derived_cl334, zip_derived_cl169])).
% 11.37/2.20  thf(segment_construction2, axiom,
% 11.37/2.20    (equidistant @ Y @ ( extension @ X @ Y @ W @ V ) @ W @ V)).
% 11.37/2.20  thf(zip_derived_cl4, plain,
% 11.37/2.20      (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 11.37/2.20          (equidistant @ X0 @ (extension @ X1 @ X0 @ X2 @ X3) @ X2 @ X3)),
% 11.37/2.20      inference('cnf', [status(esa)], [segment_construction2])).
% 11.37/2.20  thf(identity_for_equidistance, axiom,
% 11.37/2.20    (( ~( equidistant @ X @ Y @ Z @ Z ) ) | ( ( X ) = ( Y ) ))).
% 11.37/2.20  thf(zip_derived_cl2, plain,
% 11.37/2.20      (![X0 : $i, X1 : $i, X2 : $i]:
% 11.37/2.20         (~ (equidistant @ X0 @ X1 @ X2 @ X2) | ((X0) = (X1)))),
% 11.37/2.20      inference('cnf', [status(esa)], [identity_for_equidistance])).
% 11.37/2.20  thf(zip_derived_cl150, plain,
% 11.37/2.20      (![X0 : $i, X1 : $i, X2 : $i]: ((X1) = (extension @ X2 @ X1 @ X0 @ X0))),
% 11.37/2.20      inference('sup-', [status(thm)], [zip_derived_cl4, zip_derived_cl2])).
% 11.37/2.20  thf(zip_derived_cl4, plain,
% 11.37/2.20      (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 11.37/2.20          (equidistant @ X0 @ (extension @ X1 @ X0 @ X2 @ X3) @ X2 @ X3)),
% 11.37/2.20      inference('cnf', [status(esa)], [segment_construction2])).
% 11.37/2.20  thf(zip_derived_cl153, plain,
% 11.37/2.20      (![X0 : $i, X1 : $i]:  (equidistant @ X0 @ X0 @ X1 @ X1)),
% 11.37/2.20      inference('sup+', [status(thm)], [zip_derived_cl150, zip_derived_cl4])).
% 11.37/2.20  thf(zip_derived_cl442, plain,
% 11.37/2.20      (![X0 : $i, X1 : $i]:
% 11.37/2.20         (~ (equidistant @ v @ X1 @ v1 @ X0)
% 11.37/2.20          | ~ (between @ u @ v @ X1)
% 11.37/2.20          | ~ (between @ u1 @ v1 @ X0)
% 11.37/2.20          | ((u) = (v))
% 11.37/2.20          |  (equidistant @ X1 @ u @ X0 @ u1))),
% 11.37/2.20      inference('demod', [status(thm)], [zip_derived_cl437, zip_derived_cl153])).
% 11.37/2.20  thf(zip_derived_cl4535, plain,
% 11.37/2.20      (( (equidistant @ w @ u @ w1 @ u1)
% 11.37/2.20        | ((u) = (v))
% 11.37/2.20        | ~ (between @ u1 @ v1 @ w1)
% 11.37/2.20        | ~ (between @ u @ v @ w))),
% 11.37/2.20      inference('sup-', [status(thm)], [zip_derived_cl19, zip_derived_cl442])).
% 11.37/2.20  thf(v1_between_u1_and_w1, axiom, (between @ u1 @ v1 @ w1)).
% 11.37/2.20  thf(zip_derived_cl21, plain, ( (between @ u1 @ v1 @ w1)),
% 11.37/2.20      inference('cnf', [status(esa)], [v1_between_u1_and_w1])).
% 11.37/2.20  thf(v_between_u_and_w, axiom, (between @ u @ v @ w)).
% 11.37/2.20  thf(zip_derived_cl20, plain, ( (between @ u @ v @ w)),
% 11.37/2.20      inference('cnf', [status(esa)], [v_between_u_and_w])).
% 11.37/2.20  thf(zip_derived_cl4544, plain,
% 11.37/2.20      (( (equidistant @ w @ u @ w1 @ u1) | ((u) = (v)))),
% 11.37/2.20      inference('demod', [status(thm)],
% 11.37/2.20                [zip_derived_cl4535, zip_derived_cl21, zip_derived_cl20])).
% 11.37/2.20  thf(zip_derived_cl1, plain,
% 11.37/2.20      (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 11.37/2.20         (~ (equidistant @ X0 @ X1 @ X2 @ X3)
% 11.37/2.20          | ~ (equidistant @ X0 @ X1 @ X4 @ X5)
% 11.37/2.20          |  (equidistant @ X2 @ X3 @ X4 @ X5))),
% 11.37/2.20      inference('cnf', [status(esa)], [transitivity_for_equidistance])).
% 11.37/2.20  thf(zip_derived_cl4545, plain,
% 11.37/2.20      (![X0 : $i, X1 : $i]:
% 11.37/2.20         (((u) = (v))
% 11.37/2.20          |  (equidistant @ w1 @ u1 @ X1 @ X0)
% 11.37/2.20          | ~ (equidistant @ w @ u @ X1 @ X0))),
% 11.37/2.20      inference('sup-', [status(thm)], [zip_derived_cl4544, zip_derived_cl1])).
% 11.37/2.20  thf(zip_derived_cl0, plain,
% 11.37/2.20      (![X0 : $i, X1 : $i]:  (equidistant @ X0 @ X1 @ X1 @ X0)),
% 11.37/2.20      inference('cnf', [status(esa)], [reflexivity_for_equidistance])).
% 11.37/2.20  thf(zip_derived_cl1, plain,
% 11.37/2.20      (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 11.37/2.20         (~ (equidistant @ X0 @ X1 @ X2 @ X3)
% 11.37/2.20          | ~ (equidistant @ X0 @ X1 @ X4 @ X5)
% 11.37/2.20          |  (equidistant @ X2 @ X3 @ X4 @ X5))),
% 11.37/2.20      inference('cnf', [status(esa)], [transitivity_for_equidistance])).
% 11.37/2.20  thf(zip_derived_cl141, plain,
% 11.37/2.20      (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 11.37/2.20         ( (equidistant @ X1 @ X0 @ X3 @ X2)
% 11.37/2.20          | ~ (equidistant @ X0 @ X1 @ X3 @ X2))),
% 11.37/2.20      inference('sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl1])).
% 11.37/2.20  thf(zip_derived_cl4573, plain,
% 11.37/2.20      (![X0 : $i, X1 : $i]:
% 11.37/2.20         (~ (equidistant @ w @ u @ X1 @ X0)
% 11.37/2.20          | ((u) = (v))
% 11.37/2.20          |  (equidistant @ u1 @ w1 @ X1 @ X0))),
% 11.37/2.20      inference('sup-', [status(thm)], [zip_derived_cl4545, zip_derived_cl141])).
% 11.37/2.20  thf(zip_derived_cl0, plain,
% 11.37/2.20      (![X0 : $i, X1 : $i]:  (equidistant @ X0 @ X1 @ X1 @ X0)),
% 11.37/2.20      inference('cnf', [status(esa)], [reflexivity_for_equidistance])).
% 11.37/2.20  thf(zip_derived_cl4629, plain,
% 11.37/2.20      (( (equidistant @ u1 @ w1 @ u @ w) | ((u) = (v)))),
% 11.37/2.20      inference('sup+', [status(thm)], [zip_derived_cl4573, zip_derived_cl0])).
% 11.37/2.20  thf(zip_derived_cl1, plain,
% 11.37/2.20      (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 11.37/2.20         (~ (equidistant @ X0 @ X1 @ X2 @ X3)
% 11.37/2.20          | ~ (equidistant @ X0 @ X1 @ X4 @ X5)
% 11.37/2.20          |  (equidistant @ X2 @ X3 @ X4 @ X5))),
% 11.37/2.20      inference('cnf', [status(esa)], [transitivity_for_equidistance])).
% 11.37/2.20  thf(zip_derived_cl4651, plain,
% 11.37/2.20      (![X0 : $i, X1 : $i]:
% 11.37/2.20         (((u) = (v))
% 11.37/2.20          |  (equidistant @ u @ w @ X1 @ X0)
% 11.37/2.20          | ~ (equidistant @ u1 @ w1 @ X1 @ X0))),
% 11.37/2.20      inference('sup-', [status(thm)], [zip_derived_cl4629, zip_derived_cl1])).
% 11.37/2.20  thf(zip_derived_cl0, plain,
% 11.37/2.20      (![X0 : $i, X1 : $i]:  (equidistant @ X0 @ X1 @ X1 @ X0)),
% 11.37/2.20      inference('cnf', [status(esa)], [reflexivity_for_equidistance])).
% 11.37/2.20  thf(zip_derived_cl141, plain,
% 11.37/2.20      (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 11.37/2.20         ( (equidistant @ X1 @ X0 @ X3 @ X2)
% 11.37/2.20          | ~ (equidistant @ X0 @ X1 @ X3 @ X2))),
% 11.37/2.20      inference('sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl1])).
% 11.37/2.20  thf(zip_derived_cl193, plain,
% 11.37/2.20      (![X0 : $i, X1 : $i]:  (equidistant @ X1 @ X0 @ X1 @ X0)),
% 11.37/2.20      inference('sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl141])).
% 11.37/2.20  thf(zip_derived_cl4704, plain,
% 11.37/2.20      (( (equidistant @ u @ w @ u1 @ w1) | ((u) = (v)))),
% 11.37/2.20      inference('sup+', [status(thm)], [zip_derived_cl4651, zip_derived_cl193])).
% 11.37/2.20  thf(prove_equal_sums, conjecture, (equidistant @ u @ w @ u1 @ w1)).
% 11.37/2.20  thf(zf_stmt_0, negated_conjecture, (~( equidistant @ u @ w @ u1 @ w1 )),
% 11.37/2.20    inference('cnf.neg', [status(esa)], [prove_equal_sums])).
% 11.37/2.20  thf(zip_derived_cl22, plain, (~ (equidistant @ u @ w @ u1 @ w1)),
% 11.37/2.20      inference('cnf', [status(esa)], [zf_stmt_0])).
% 11.37/2.20  thf(zip_derived_cl4733, plain, (((u) = (v))),
% 11.37/2.20      inference('clc', [status(thm)], [zip_derived_cl4704, zip_derived_cl22])).
% 11.37/2.20  thf(zip_derived_cl4735, plain, ( (equidistant @ u @ w @ v1 @ w1)),
% 11.37/2.20      inference('demod', [status(thm)], [zip_derived_cl19, zip_derived_cl4733])).
% 11.37/2.20  thf(zip_derived_cl142, plain,
% 11.37/2.20      (![X0 : $i, X1 : $i]:
% 11.37/2.20         ( (equidistant @ u1 @ v1 @ X1 @ X0)
% 11.37/2.20          | ~ (equidistant @ u @ v @ X1 @ X0))),
% 11.37/2.20      inference('sup-', [status(thm)], [zip_derived_cl18, zip_derived_cl1])).
% 11.37/2.20  thf(zip_derived_cl2, plain,
% 11.37/2.20      (![X0 : $i, X1 : $i, X2 : $i]:
% 11.37/2.20         (~ (equidistant @ X0 @ X1 @ X2 @ X2) | ((X0) = (X1)))),
% 11.37/2.20      inference('cnf', [status(esa)], [identity_for_equidistance])).
% 11.37/2.20  thf(zip_derived_cl147, plain,
% 11.37/2.20      (![X0 : $i]: (~ (equidistant @ u @ v @ X0 @ X0) | ((u1) = (v1)))),
% 11.37/2.20      inference('sup-', [status(thm)], [zip_derived_cl142, zip_derived_cl2])).
% 11.37/2.20  thf(zip_derived_cl4733, plain, (((u) = (v))),
% 11.37/2.20      inference('clc', [status(thm)], [zip_derived_cl4704, zip_derived_cl22])).
% 11.37/2.20  thf(zip_derived_cl153, plain,
% 11.37/2.20      (![X0 : $i, X1 : $i]:  (equidistant @ X0 @ X0 @ X1 @ X1)),
% 11.37/2.20      inference('sup+', [status(thm)], [zip_derived_cl150, zip_derived_cl4])).
% 11.37/2.20  thf(zip_derived_cl4740, plain, (((u1) = (v1))),
% 11.37/2.20      inference('demod', [status(thm)],
% 11.37/2.20                [zip_derived_cl147, zip_derived_cl4733, zip_derived_cl153])).
% 11.37/2.20  thf(zip_derived_cl22, plain, (~ (equidistant @ u @ w @ u1 @ w1)),
% 11.37/2.20      inference('cnf', [status(esa)], [zf_stmt_0])).
% 11.37/2.20  thf(zip_derived_cl5062, plain, ($false),
% 11.37/2.20      inference('demod', [status(thm)],
% 11.37/2.20                [zip_derived_cl4735, zip_derived_cl4740, zip_derived_cl22])).
% 11.37/2.20  
% 11.37/2.20  % SZS output end Refutation
% 11.37/2.20  
% 11.37/2.20  
% 11.37/2.20  % Terminating...
% 11.37/2.26  % Runner terminated.
% 11.37/2.27  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------