TSTP Solution File: GEO068-3 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : GEO068-3 : TPTP v8.1.2. Bugfixed v1.2.1.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.DT9elTY0bL true

% Computer : n019.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 23:56:22 EDT 2023

% Result   : Unsatisfiable 34.02s 5.64s
% Output   : Refutation 34.02s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : GEO068-3 : TPTP v8.1.2. Bugfixed v1.2.1.
% 0.07/0.13  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.DT9elTY0bL true
% 0.12/0.34  % Computer : n019.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 : Tue Aug 29 22:39:28 EDT 2023
% 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
% 0.12/0.35  % Number of cores: 8
% 0.12/0.35  % Python version: Python 3.6.8
% 0.12/0.35  % Running in FO mode
% 0.21/0.65  % Total configuration time : 435
% 0.21/0.65  % Estimated wc time : 1092
% 0.21/0.65  % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.72  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.58/0.75  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.58/0.75  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.58/0.77  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.58/0.77  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.58/0.77  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.58/0.78  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.60/0.85  % /export/starexec/sandbox/solver/bin/fo/fo1_lcnf.sh running for 50s
% 34.02/5.64  % Solved by fo/fo3_bce.sh.
% 34.02/5.64  % BCE start: 77
% 34.02/5.64  % BCE eliminated: 0
% 34.02/5.64  % PE start: 77
% 34.02/5.64  logic: eq
% 34.02/5.64  % PE eliminated: 0
% 34.02/5.64  % done 3030 iterations in 4.866s
% 34.02/5.64  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 34.02/5.64  % SZS output start Refutation
% 34.02/5.64  thf(w_type, type, w: $i).
% 34.02/5.64  thf(between_type, type, between: $i > $i > $i > $o).
% 34.02/5.64  thf(colinear_type, type, colinear: $i > $i > $i > $o).
% 34.02/5.64  thf(w1_type, type, w1: $i).
% 34.02/5.64  thf(v1_type, type, v1: $i).
% 34.02/5.64  thf(v_type, type, v: $i).
% 34.02/5.64  thf(u_type, type, u: $i).
% 34.02/5.64  thf(equidistant_type, type, equidistant: $i > $i > $i > $i > $o).
% 34.02/5.64  thf(u1_type, type, u1: $i).
% 34.02/5.64  thf(v_to_w_equals_v1_to_w1, axiom, (equidistant @ v @ w @ v1 @ w1)).
% 34.02/5.64  thf(zip_derived_cl73, plain, ( (equidistant @ v @ w @ v1 @ w1)),
% 34.02/5.64      inference('cnf', [status(esa)], [v_to_w_equals_v1_to_w1])).
% 34.02/5.64  thf(u_to_v_equals_u1_to_v1, axiom, (equidistant @ u @ v @ u1 @ v1)).
% 34.02/5.64  thf(zip_derived_cl72, plain, ( (equidistant @ u @ v @ u1 @ v1)),
% 34.02/5.64      inference('cnf', [status(esa)], [u_to_v_equals_u1_to_v1])).
% 34.02/5.64  thf(d4_2, axiom,
% 34.02/5.64    (( ~( equidistant @ U @ V @ W @ X ) ) | ( equidistant @ V @ U @ X @ W ))).
% 34.02/5.64  thf(zip_derived_cl18, plain,
% 34.02/5.64      (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 34.02/5.64         (~ (equidistant @ X0 @ X1 @ X2 @ X3)
% 34.02/5.64          |  (equidistant @ X1 @ X0 @ X3 @ X2))),
% 34.02/5.64      inference('cnf', [status(esa)], [d4_2])).
% 34.02/5.64  thf(zip_derived_cl654, plain, ( (equidistant @ v @ u @ v1 @ u1)),
% 34.02/5.64      inference('sup-', [status(thm)], [zip_derived_cl72, zip_derived_cl18])).
% 34.02/5.64  thf(b11, axiom,
% 34.02/5.64    (( ~( equidistant @ U @ V @ U1 @ V1 ) ) | 
% 34.02/5.64     ( ~( equidistant @ V @ W @ V1 @ W1 ) ) | 
% 34.02/5.64     ( ~( equidistant @ U @ W @ U1 @ W1 ) ) | ( ~( between @ U @ V @ W ) ) | 
% 34.02/5.64     ( between @ U1 @ V1 @ W1 ))).
% 34.02/5.64  thf(zip_derived_cl51, plain,
% 34.02/5.64      (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 34.02/5.64         (~ (equidistant @ X0 @ X1 @ X2 @ X3)
% 34.02/5.64          | ~ (equidistant @ X1 @ X4 @ X3 @ X5)
% 34.02/5.64          | ~ (equidistant @ X0 @ X4 @ X2 @ X5)
% 34.02/5.64          | ~ (between @ X0 @ X1 @ X4)
% 34.02/5.64          |  (between @ X2 @ X3 @ X5))),
% 34.02/5.64      inference('cnf', [status(esa)], [b11])).
% 34.02/5.64  thf(zip_derived_cl1140, plain,
% 34.02/5.64      (![X0 : $i, X1 : $i]:
% 34.02/5.64         ( (between @ v1 @ u1 @ X0)
% 34.02/5.64          | ~ (between @ v @ u @ X1)
% 34.02/5.64          | ~ (equidistant @ v @ X1 @ v1 @ X0)
% 34.02/5.64          | ~ (equidistant @ u @ X1 @ u1 @ X0))),
% 34.02/5.64      inference('sup-', [status(thm)], [zip_derived_cl654, zip_derived_cl51])).
% 34.02/5.64  thf(zip_derived_cl16265, plain,
% 34.02/5.64      ((~ (equidistant @ u @ w @ u1 @ w1)
% 34.02/5.64        | ~ (between @ v @ u @ w)
% 34.02/5.64        |  (between @ v1 @ u1 @ w1))),
% 34.02/5.64      inference('sup-', [status(thm)], [zip_derived_cl73, zip_derived_cl1140])).
% 34.02/5.64  thf(u_to_w_equals_u1_to_w1, axiom, (equidistant @ u @ w @ u1 @ w1)).
% 34.02/5.64  thf(zip_derived_cl74, plain, ( (equidistant @ u @ w @ u1 @ w1)),
% 34.02/5.64      inference('cnf', [status(esa)], [u_to_w_equals_u1_to_w1])).
% 34.02/5.64  thf(colinearity4, axiom,
% 34.02/5.64    (( ~( colinear @ X @ Y @ Z ) ) | ( between @ X @ Y @ Z ) | 
% 34.02/5.64     ( between @ Y @ Z @ X ) | ( between @ Z @ X @ Y ))).
% 34.02/5.64  thf(zip_derived_cl12, plain,
% 34.02/5.64      (![X0 : $i, X1 : $i, X2 : $i]:
% 34.02/5.64         (~ (colinear @ X0 @ X1 @ X2)
% 34.02/5.64          |  (between @ X0 @ X1 @ X2)
% 34.02/5.64          |  (between @ X1 @ X2 @ X0)
% 34.02/5.64          |  (between @ X2 @ X0 @ X1))),
% 34.02/5.64      inference('cnf', [status(esa)], [colinearity4])).
% 34.02/5.64  thf(uvw_colinear, axiom, (colinear @ u @ v @ w)).
% 34.02/5.64  thf(zip_derived_cl75, plain, ( (colinear @ u @ v @ w)),
% 34.02/5.64      inference('cnf', [status(esa)], [uvw_colinear])).
% 34.02/5.64  thf(zip_derived_cl577, plain,
% 34.02/5.64      (( (between @ w @ u @ v)
% 34.02/5.64        |  (between @ v @ w @ u)
% 34.02/5.64        |  (between @ u @ v @ w))),
% 34.02/5.64      inference('sup+', [status(thm)], [zip_derived_cl12, zip_derived_cl75])).
% 34.02/5.64  thf(zip_derived_cl73, plain, ( (equidistant @ v @ w @ v1 @ w1)),
% 34.02/5.64      inference('cnf', [status(esa)], [v_to_w_equals_v1_to_w1])).
% 34.02/5.64  thf(zip_derived_cl72, plain, ( (equidistant @ u @ v @ u1 @ v1)),
% 34.02/5.64      inference('cnf', [status(esa)], [u_to_v_equals_u1_to_v1])).
% 34.02/5.64  thf(zip_derived_cl51, plain,
% 34.02/5.64      (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 34.02/5.64         (~ (equidistant @ X0 @ X1 @ X2 @ X3)
% 34.02/5.64          | ~ (equidistant @ X1 @ X4 @ X3 @ X5)
% 34.02/5.64          | ~ (equidistant @ X0 @ X4 @ X2 @ X5)
% 34.02/5.64          | ~ (between @ X0 @ X1 @ X4)
% 34.02/5.64          |  (between @ X2 @ X3 @ X5))),
% 34.02/5.64      inference('cnf', [status(esa)], [b11])).
% 34.02/5.64  thf(zip_derived_cl801, plain,
% 34.02/5.64      (![X0 : $i, X1 : $i]:
% 34.02/5.64         ( (between @ u1 @ v1 @ X0)
% 34.02/5.64          | ~ (between @ u @ v @ X1)
% 34.02/5.64          | ~ (equidistant @ u @ X1 @ u1 @ X0)
% 34.02/5.64          | ~ (equidistant @ v @ X1 @ v1 @ X0))),
% 34.02/5.64      inference('sup-', [status(thm)], [zip_derived_cl72, zip_derived_cl51])).
% 34.02/5.64  thf(zip_derived_cl3477, plain,
% 34.02/5.64      ((~ (equidistant @ u @ w @ u1 @ w1)
% 34.02/5.64        | ~ (between @ u @ v @ w)
% 34.02/5.64        |  (between @ u1 @ v1 @ w1))),
% 34.02/5.64      inference('sup-', [status(thm)], [zip_derived_cl73, zip_derived_cl801])).
% 34.02/5.64  thf(zip_derived_cl74, plain, ( (equidistant @ u @ w @ u1 @ w1)),
% 34.02/5.64      inference('cnf', [status(esa)], [u_to_w_equals_u1_to_w1])).
% 34.02/5.64  thf(colinearity1, axiom,
% 34.02/5.64    (( ~( between @ X @ Y @ Z ) ) | ( colinear @ X @ Y @ Z ))).
% 34.02/5.64  thf(zip_derived_cl9, plain,
% 34.02/5.64      (![X0 : $i, X1 : $i, X2 : $i]:
% 34.02/5.64         (~ (between @ X0 @ X1 @ X2) |  (colinear @ X0 @ X1 @ X2))),
% 34.02/5.64      inference('cnf', [status(esa)], [colinearity1])).
% 34.02/5.64  thf(prove_u1v1w1_colinear, conjecture, (colinear @ u1 @ v1 @ w1)).
% 34.02/5.64  thf(zf_stmt_0, negated_conjecture, (~( colinear @ u1 @ v1 @ w1 )),
% 34.02/5.64    inference('cnf.neg', [status(esa)], [prove_u1v1w1_colinear])).
% 34.02/5.64  thf(zip_derived_cl76, plain, (~ (colinear @ u1 @ v1 @ w1)),
% 34.02/5.64      inference('cnf', [status(esa)], [zf_stmt_0])).
% 34.02/5.64  thf(zip_derived_cl532, plain, (~ (between @ u1 @ v1 @ w1)),
% 34.02/5.64      inference('sup-', [status(thm)], [zip_derived_cl9, zip_derived_cl76])).
% 34.02/5.64  thf(zip_derived_cl3481, plain, (~ (between @ u @ v @ w)),
% 34.02/5.64      inference('demod', [status(thm)],
% 34.02/5.64                [zip_derived_cl3477, zip_derived_cl74, zip_derived_cl532])).
% 34.02/5.64  thf(zip_derived_cl3485, plain,
% 34.02/5.64      (( (between @ w @ u @ v) |  (between @ v @ w @ u))),
% 34.02/5.64      inference('demod', [status(thm)], [zip_derived_cl577, zip_derived_cl3481])).
% 34.02/5.64  thf(zip_derived_cl74, plain, ( (equidistant @ u @ w @ u1 @ w1)),
% 34.02/5.64      inference('cnf', [status(esa)], [u_to_w_equals_u1_to_w1])).
% 34.02/5.64  thf(zip_derived_cl18, plain,
% 34.02/5.64      (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 34.02/5.64         (~ (equidistant @ X0 @ X1 @ X2 @ X3)
% 34.02/5.64          |  (equidistant @ X1 @ X0 @ X3 @ X2))),
% 34.02/5.64      inference('cnf', [status(esa)], [d4_2])).
% 34.02/5.64  thf(zip_derived_cl655, plain, ( (equidistant @ w @ u @ w1 @ u1)),
% 34.02/5.64      inference('sup-', [status(thm)], [zip_derived_cl74, zip_derived_cl18])).
% 34.02/5.64  thf(zip_derived_cl73, plain, ( (equidistant @ v @ w @ v1 @ w1)),
% 34.02/5.64      inference('cnf', [status(esa)], [v_to_w_equals_v1_to_w1])).
% 34.02/5.64  thf(zip_derived_cl51, plain,
% 34.02/5.64      (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 34.02/5.64         (~ (equidistant @ X0 @ X1 @ X2 @ X3)
% 34.02/5.64          | ~ (equidistant @ X1 @ X4 @ X3 @ X5)
% 34.02/5.64          | ~ (equidistant @ X0 @ X4 @ X2 @ X5)
% 34.02/5.64          | ~ (between @ X0 @ X1 @ X4)
% 34.02/5.64          |  (between @ X2 @ X3 @ X5))),
% 34.02/5.64      inference('cnf', [status(esa)], [b11])).
% 34.02/5.64  thf(zip_derived_cl803, plain,
% 34.02/5.64      (![X0 : $i, X1 : $i]:
% 34.02/5.64         ( (between @ v1 @ w1 @ X0)
% 34.02/5.64          | ~ (between @ v @ w @ X1)
% 34.02/5.64          | ~ (equidistant @ v @ X1 @ v1 @ X0)
% 34.02/5.64          | ~ (equidistant @ w @ X1 @ w1 @ X0))),
% 34.02/5.64      inference('sup-', [status(thm)], [zip_derived_cl73, zip_derived_cl51])).
% 34.02/5.64  thf(zip_derived_cl3582, plain,
% 34.02/5.64      ((~ (equidistant @ v @ u @ v1 @ u1)
% 34.02/5.64        | ~ (between @ v @ w @ u)
% 34.02/5.64        |  (between @ v1 @ w1 @ u1))),
% 34.02/5.64      inference('sup-', [status(thm)], [zip_derived_cl655, zip_derived_cl803])).
% 34.02/5.64  thf(zip_derived_cl654, plain, ( (equidistant @ v @ u @ v1 @ u1)),
% 34.02/5.64      inference('sup-', [status(thm)], [zip_derived_cl72, zip_derived_cl18])).
% 34.02/5.64  thf(colinearity2, axiom,
% 34.02/5.64    (( ~( between @ Y @ Z @ X ) ) | ( colinear @ X @ Y @ Z ))).
% 34.02/5.64  thf(zip_derived_cl10, plain,
% 34.02/5.64      (![X0 : $i, X1 : $i, X2 : $i]:
% 34.02/5.64         (~ (between @ X0 @ X1 @ X2) |  (colinear @ X2 @ X0 @ X1))),
% 34.02/5.64      inference('cnf', [status(esa)], [colinearity2])).
% 34.02/5.64  thf(zip_derived_cl76, plain, (~ (colinear @ u1 @ v1 @ w1)),
% 34.02/5.64      inference('cnf', [status(esa)], [zf_stmt_0])).
% 34.02/5.64  thf(zip_derived_cl541, plain, (~ (between @ v1 @ w1 @ u1)),
% 34.02/5.64      inference('sup-', [status(thm)], [zip_derived_cl10, zip_derived_cl76])).
% 34.02/5.64  thf(zip_derived_cl3589, plain, (~ (between @ v @ w @ u)),
% 34.02/5.64      inference('demod', [status(thm)],
% 34.02/5.64                [zip_derived_cl3582, zip_derived_cl654, zip_derived_cl541])).
% 34.02/5.64  thf(zip_derived_cl3705, plain, ( (between @ w @ u @ v)),
% 34.02/5.64      inference('demod', [status(thm)],
% 34.02/5.64                [zip_derived_cl3485, zip_derived_cl3589])).
% 34.02/5.64  thf(t1, axiom, (( ~( between @ U @ V @ W ) ) | ( between @ W @ V @ U ))).
% 34.02/5.64  thf(zip_derived_cl28, plain,
% 34.02/5.64      (![X0 : $i, X1 : $i, X2 : $i]:
% 34.02/5.64         (~ (between @ X0 @ X1 @ X2) |  (between @ X2 @ X1 @ X0))),
% 34.02/5.64      inference('cnf', [status(esa)], [t1])).
% 34.02/5.64  thf(zip_derived_cl3707, plain, ( (between @ v @ u @ w)),
% 34.02/5.64      inference('sup-', [status(thm)], [zip_derived_cl3705, zip_derived_cl28])).
% 34.02/5.64  thf(c2_3, axiom, (( ~( between @ V @ U @ W ) ) | ( colinear @ U @ V @ W ))).
% 34.02/5.64  thf(zip_derived_cl61, plain,
% 34.02/5.64      (![X0 : $i, X1 : $i, X2 : $i]:
% 34.02/5.64         (~ (between @ X0 @ X1 @ X2) |  (colinear @ X1 @ X0 @ X2))),
% 34.02/5.64      inference('cnf', [status(esa)], [c2_3])).
% 34.02/5.64  thf(zip_derived_cl76, plain, (~ (colinear @ u1 @ v1 @ w1)),
% 34.02/5.64      inference('cnf', [status(esa)], [zf_stmt_0])).
% 34.02/5.64  thf(zip_derived_cl617, plain, (~ (between @ v1 @ u1 @ w1)),
% 34.02/5.64      inference('sup-', [status(thm)], [zip_derived_cl61, zip_derived_cl76])).
% 34.02/5.64  thf(zip_derived_cl16271, plain, ($false),
% 34.02/5.64      inference('demod', [status(thm)],
% 34.02/5.64                [zip_derived_cl16265, zip_derived_cl74, zip_derived_cl3707, 
% 34.02/5.64                 zip_derived_cl617])).
% 34.02/5.64  
% 34.02/5.64  % SZS output end Refutation
% 34.02/5.64  
% 34.02/5.64  
% 34.02/5.64  % Terminating...
% 34.90/5.69  % Runner terminated.
% 34.90/5.71  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------