TSTP Solution File: GEO026-2 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : GEO026-2 : 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.YYbtj1FyWa true

% Computer : n014.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 23:56:02 EDT 2023

% Result   : Unsatisfiable 40.97s 6.53s
% Output   : Refutation 40.97s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : GEO026-2 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.14  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.YYbtj1FyWa true
% 0.20/0.35  % Computer : n014.cluster.edu
% 0.20/0.35  % Model    : x86_64 x86_64
% 0.20/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.20/0.35  % Memory   : 8042.1875MB
% 0.20/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.20/0.35  % CPULimit : 300
% 0.20/0.35  % WCLimit  : 300
% 0.20/0.35  % DateTime : Tue Aug 29 21:56:44 EDT 2023
% 0.20/0.35  % CPUTime  : 
% 0.20/0.35  % Running portfolio for 300 s
% 0.20/0.35  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.36  % Number of cores: 8
% 0.20/0.36  % Python version: Python 3.6.8
% 0.20/0.36  % Running in FO mode
% 0.21/0.64  % Total configuration time : 435
% 0.21/0.64  % Estimated wc time : 1092
% 0.21/0.64  % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.71  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.73  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.75  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.21/0.76  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.21/0.76  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.21/0.76  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.21/0.76  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 40.97/6.53  % Solved by fo/fo5.sh.
% 40.97/6.53  % done 3216 iterations in 5.749s
% 40.97/6.53  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 40.97/6.53  % SZS output start Refutation
% 40.97/6.53  thf(between_type, type, between: $i > $i > $i > $o).
% 40.97/6.53  thf(x_type, type, x: $i).
% 40.97/6.53  thf(u_type, type, u: $i).
% 40.97/6.53  thf(v_type, type, v: $i).
% 40.97/6.53  thf(w_type, type, w: $i).
% 40.97/6.53  thf(equidistant_type, type, equidistant: $i > $i > $i > $i > $o).
% 40.97/6.53  thf(v_between_u_and_x, axiom, (between @ u @ v @ x)).
% 40.97/6.53  thf(zip_derived_cl19, plain, ( (between @ u @ v @ x)),
% 40.97/6.53      inference('cnf', [status(esa)], [v_between_u_and_x])).
% 40.97/6.53  thf(v_to_w_equals_v_to_x, axiom, (equidistant @ v @ w @ v @ x)).
% 40.97/6.53  thf(zip_derived_cl20, plain, ( (equidistant @ v @ w @ v @ x)),
% 40.97/6.53      inference('cnf', [status(esa)], [v_to_w_equals_v_to_x])).
% 40.97/6.53  thf(reflexivity_for_equidistance, axiom, (equidistant @ X @ Y @ Y @ X)).
% 40.97/6.53  thf(zip_derived_cl0, plain,
% 40.97/6.53      (![X0 : $i, X1 : $i]:  (equidistant @ X0 @ X1 @ X1 @ X0)),
% 40.97/6.53      inference('cnf', [status(esa)], [reflexivity_for_equidistance])).
% 40.97/6.53  thf(zip_derived_cl0, plain,
% 40.97/6.53      (![X0 : $i, X1 : $i]:  (equidistant @ X0 @ X1 @ X1 @ X0)),
% 40.97/6.53      inference('cnf', [status(esa)], [reflexivity_for_equidistance])).
% 40.97/6.53  thf(transitivity_for_equidistance, axiom,
% 40.97/6.53    (( ~( equidistant @ X @ Y @ Z @ V ) ) | 
% 40.97/6.53     ( ~( equidistant @ X @ Y @ V2 @ W ) ) | ( equidistant @ Z @ V @ V2 @ W ))).
% 40.97/6.53  thf(zip_derived_cl1, plain,
% 40.97/6.53      (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 40.97/6.53         (~ (equidistant @ X0 @ X1 @ X2 @ X3)
% 40.97/6.53          | ~ (equidistant @ X0 @ X1 @ X4 @ X5)
% 40.97/6.53          |  (equidistant @ X2 @ X3 @ X4 @ X5))),
% 40.97/6.53      inference('cnf', [status(esa)], [transitivity_for_equidistance])).
% 40.97/6.53  thf(zip_derived_cl23, plain,
% 40.97/6.53      (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 40.97/6.53         ( (equidistant @ X1 @ X0 @ X3 @ X2)
% 40.97/6.53          | ~ (equidistant @ X0 @ X1 @ X3 @ X2))),
% 40.97/6.53      inference('sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl1])).
% 40.97/6.53  thf(zip_derived_cl141, plain,
% 40.97/6.53      (![X0 : $i, X1 : $i]:  (equidistant @ X1 @ X0 @ X1 @ X0)),
% 40.97/6.53      inference('sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl23])).
% 40.97/6.53  thf(zip_derived_cl141, plain,
% 40.97/6.53      (![X0 : $i, X1 : $i]:  (equidistant @ X1 @ X0 @ X1 @ X0)),
% 40.97/6.53      inference('sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl23])).
% 40.97/6.53  thf(outer_five_segment, axiom,
% 40.97/6.53    (( ~( equidistant @ X @ Y @ X1 @ Y1 ) ) | 
% 40.97/6.53     ( ~( equidistant @ Y @ Z @ Y1 @ Z1 ) ) | 
% 40.97/6.53     ( ~( equidistant @ X @ V @ X1 @ V1 ) ) | 
% 40.97/6.53     ( ~( equidistant @ Y @ V @ Y1 @ V1 ) ) | ( ~( between @ X @ Y @ Z ) ) | 
% 40.97/6.53     ( ~( between @ X1 @ Y1 @ Z1 ) ) | ( ( X ) = ( Y ) ) | 
% 40.97/6.53     ( equidistant @ Z @ V @ Z1 @ V1 ))).
% 40.97/6.53  thf(zip_derived_cl5, plain,
% 40.97/6.53      (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 40.97/6.53         (~ (equidistant @ X0 @ X1 @ X2 @ X3)
% 40.97/6.53          | ~ (equidistant @ X1 @ X4 @ X3 @ X5)
% 40.97/6.53          | ~ (equidistant @ X0 @ X6 @ X2 @ X7)
% 40.97/6.53          | ~ (equidistant @ X1 @ X6 @ X3 @ X7)
% 40.97/6.53          | ~ (between @ X0 @ X1 @ X4)
% 40.97/6.53          | ~ (between @ X2 @ X3 @ X5)
% 40.97/6.53          | ((X0) = (X1))
% 40.97/6.53          |  (equidistant @ X4 @ X6 @ X5 @ X7))),
% 40.97/6.53      inference('cnf', [status(esa)], [outer_five_segment])).
% 40.97/6.53  thf(zip_derived_cl166, plain,
% 40.97/6.53      (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 40.97/6.53         ( (equidistant @ X5 @ X4 @ X3 @ X2)
% 40.97/6.53          | ((X1) = (X0))
% 40.97/6.53          | ~ (between @ X1 @ X0 @ X3)
% 40.97/6.53          | ~ (between @ X1 @ X0 @ X5)
% 40.97/6.53          | ~ (equidistant @ X0 @ X4 @ X0 @ X2)
% 40.97/6.53          | ~ (equidistant @ X1 @ X4 @ X1 @ X2)
% 40.97/6.53          | ~ (equidistant @ X0 @ X5 @ X0 @ X3))),
% 40.97/6.53      inference('sup-', [status(thm)], [zip_derived_cl141, zip_derived_cl5])).
% 40.97/6.53  thf(zip_derived_cl3750, plain,
% 40.97/6.53      (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 40.97/6.53         (~ (equidistant @ X1 @ X3 @ X1 @ X2)
% 40.97/6.53          | ~ (equidistant @ X4 @ X0 @ X4 @ X0)
% 40.97/6.53          | ~ (between @ X4 @ X1 @ X3)
% 40.97/6.53          | ~ (between @ X4 @ X1 @ X2)
% 40.97/6.53          | ((X4) = (X1))
% 40.97/6.53          |  (equidistant @ X3 @ X0 @ X2 @ X0))),
% 40.97/6.53      inference('sup-', [status(thm)], [zip_derived_cl141, zip_derived_cl166])).
% 40.97/6.53  thf(zip_derived_cl141, plain,
% 40.97/6.53      (![X0 : $i, X1 : $i]:  (equidistant @ X1 @ X0 @ X1 @ X0)),
% 40.97/6.53      inference('sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl23])).
% 40.97/6.53  thf(zip_derived_cl3776, plain,
% 40.97/6.53      (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 40.97/6.53         (~ (equidistant @ X1 @ X3 @ X1 @ X2)
% 40.97/6.53          | ~ (between @ X4 @ X1 @ X3)
% 40.97/6.53          | ~ (between @ X4 @ X1 @ X2)
% 40.97/6.53          | ((X4) = (X1))
% 40.97/6.53          |  (equidistant @ X3 @ X0 @ X2 @ X0))),
% 40.97/6.53      inference('demod', [status(thm)], [zip_derived_cl3750, zip_derived_cl141])).
% 40.97/6.53  thf(zip_derived_cl35724, plain,
% 40.97/6.53      (![X0 : $i, X1 : $i]:
% 40.97/6.53         ( (equidistant @ w @ X0 @ x @ X0)
% 40.97/6.53          | ((X1) = (v))
% 40.97/6.53          | ~ (between @ X1 @ v @ x)
% 40.97/6.53          | ~ (between @ X1 @ v @ w))),
% 40.97/6.53      inference('sup-', [status(thm)], [zip_derived_cl20, zip_derived_cl3776])).
% 40.97/6.53  thf(zip_derived_cl35903, plain,
% 40.97/6.53      (![X0 : $i]:
% 40.97/6.53         (~ (between @ u @ v @ w)
% 40.97/6.53          | ((u) = (v))
% 40.97/6.53          |  (equidistant @ w @ X0 @ x @ X0))),
% 40.97/6.53      inference('sup-', [status(thm)], [zip_derived_cl19, zip_derived_cl35724])).
% 40.97/6.53  thf(v_between_u_and_w, axiom, (between @ u @ v @ w)).
% 40.97/6.53  thf(zip_derived_cl18, plain, ( (between @ u @ v @ w)),
% 40.97/6.53      inference('cnf', [status(esa)], [v_between_u_and_w])).
% 40.97/6.53  thf(zip_derived_cl35905, plain,
% 40.97/6.53      (![X0 : $i]: (((u) = (v)) |  (equidistant @ w @ X0 @ x @ X0))),
% 40.97/6.53      inference('demod', [status(thm)], [zip_derived_cl35903, zip_derived_cl18])).
% 40.97/6.53  thf(u_not_v, axiom, (( u ) != ( v ))).
% 40.97/6.53  thf(zip_derived_cl21, plain, (((u) != (v))),
% 40.97/6.53      inference('cnf', [status(esa)], [u_not_v])).
% 40.97/6.53  thf(zip_derived_cl35906, plain,
% 40.97/6.53      (![X0 : $i]:  (equidistant @ w @ X0 @ x @ X0)),
% 40.97/6.53      inference('simplify_reflect-', [status(thm)],
% 40.97/6.53                [zip_derived_cl35905, zip_derived_cl21])).
% 40.97/6.53  thf(identity_for_equidistance, axiom,
% 40.97/6.53    (( ~( equidistant @ X @ Y @ Z @ Z ) ) | ( ( X ) = ( Y ) ))).
% 40.97/6.53  thf(zip_derived_cl2, plain,
% 40.97/6.53      (![X0 : $i, X1 : $i, X2 : $i]:
% 40.97/6.53         (~ (equidistant @ X0 @ X1 @ X2 @ X2) | ((X0) = (X1)))),
% 40.97/6.53      inference('cnf', [status(esa)], [identity_for_equidistance])).
% 40.97/6.53  thf(zip_derived_cl35909, plain, (((w) = (x))),
% 40.97/6.53      inference('sup-', [status(thm)], [zip_derived_cl35906, zip_derived_cl2])).
% 40.97/6.53  thf(prove_w_is_x, conjecture, (( w ) = ( x ))).
% 40.97/6.53  thf(zf_stmt_0, negated_conjecture, (( w ) != ( x )),
% 40.97/6.53    inference('cnf.neg', [status(esa)], [prove_w_is_x])).
% 40.97/6.53  thf(zip_derived_cl22, plain, (((w) != (x))),
% 40.97/6.53      inference('cnf', [status(esa)], [zf_stmt_0])).
% 40.97/6.53  thf(zip_derived_cl35970, plain, ($false),
% 40.97/6.53      inference('simplify_reflect-', [status(thm)],
% 40.97/6.53                [zip_derived_cl35909, zip_derived_cl22])).
% 40.97/6.53  
% 40.97/6.53  % SZS output end Refutation
% 40.97/6.53  
% 40.97/6.53  
% 40.97/6.53  % Terminating...
% 41.60/6.60  % Runner terminated.
% 41.60/6.62  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------