TSTP Solution File: GEO066-2 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : GEO066-2 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.tw9mu8ZhF7 true

% Computer : n024.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 23:56:21 EDT 2023

% Result   : Unsatisfiable 1.30s 0.78s
% Output   : Refutation 1.30s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : GEO066-2 : TPTP v8.1.2. Released v1.0.0.
% 0.07/0.13  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.tw9mu8ZhF7 true
% 0.13/0.34  % Computer : n024.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 : Tue Aug 29 22:25:53 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 0.13/0.34  % Running portfolio for 300 s
% 0.13/0.34  % File         : /export/starexec/sandbox2/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
% 0.20/0.64  % Total configuration time : 435
% 0.20/0.64  % Estimated wc time : 1092
% 0.20/0.64  % Estimated cpu time (7 cpus) : 156.0
% 1.13/0.71  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 1.13/0.71  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 1.13/0.73  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 1.13/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 1.13/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 1.13/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 1.13/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 1.30/0.78  % Solved by fo/fo3_bce.sh.
% 1.30/0.78  % BCE start: 24
% 1.30/0.78  % BCE eliminated: 0
% 1.30/0.78  % PE start: 24
% 1.30/0.78  logic: eq
% 1.30/0.78  % PE eliminated: 2
% 1.30/0.78  % done 55 iterations in 0.049s
% 1.30/0.78  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.30/0.78  % SZS output start Refutation
% 1.30/0.78  thf(between_type, type, between: $i > $i > $i > $o).
% 1.30/0.78  thf(colinear_type, type, colinear: $i > $i > $i > $o).
% 1.30/0.78  thf(v_type, type, v: $i).
% 1.30/0.78  thf(equidistant_type, type, equidistant: $i > $i > $i > $i > $o).
% 1.30/0.78  thf(inner_pasch_type, type, inner_pasch: $i > $i > $i > $i > $i > $i).
% 1.30/0.78  thf(w_type, type, w: $i).
% 1.30/0.78  thf(u_type, type, u: $i).
% 1.30/0.78  thf(extension_type, type, extension: $i > $i > $i > $i > $i).
% 1.30/0.78  thf(colinearity3, axiom,
% 1.30/0.78    (( ~( between @ Z @ X @ Y ) ) | ( colinear @ X @ Y @ Z ))).
% 1.30/0.78  thf(zip_derived_cl20, plain,
% 1.30/0.78      (![X0 : $i, X1 : $i, X2 : $i]:
% 1.30/0.78         (~ (between @ X0 @ X1 @ X2) |  (colinear @ X1 @ X2 @ X0))),
% 1.30/0.78      inference('cnf', [status(esa)], [colinearity3])).
% 1.30/0.78  thf(prove_uvw_colinear, conjecture, (colinear @ u @ v @ w)).
% 1.30/0.78  thf(zf_stmt_0, negated_conjecture, (~( colinear @ u @ v @ w )),
% 1.30/0.78    inference('cnf.neg', [status(esa)], [prove_uvw_colinear])).
% 1.30/0.78  thf(zip_derived_cl23, plain, (~ (colinear @ u @ v @ w)),
% 1.30/0.78      inference('cnf', [status(esa)], [zf_stmt_0])).
% 1.30/0.78  thf(zip_derived_cl159, plain, (~ (between @ w @ u @ v)),
% 1.30/0.78      inference('dp-resolution', [status(thm)],
% 1.30/0.78                [zip_derived_cl20, zip_derived_cl23])).
% 1.30/0.78  thf(u_between_v_and_w, axiom, (between @ v @ u @ w)).
% 1.30/0.78  thf(zip_derived_cl22, plain, ( (between @ v @ u @ w)),
% 1.30/0.78      inference('cnf', [status(esa)], [u_between_v_and_w])).
% 1.30/0.78  thf(segment_construction2, axiom,
% 1.30/0.78    (equidistant @ Y @ ( extension @ X @ Y @ W @ V ) @ W @ V)).
% 1.30/0.78  thf(zip_derived_cl4, plain,
% 1.30/0.78      (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.30/0.78          (equidistant @ X0 @ (extension @ X1 @ X0 @ X2 @ X3) @ X2 @ X3)),
% 1.30/0.78      inference('cnf', [status(esa)], [segment_construction2])).
% 1.30/0.78  thf(identity_for_equidistance, axiom,
% 1.30/0.78    (( ~( equidistant @ X @ Y @ Z @ Z ) ) | ( ( X ) = ( Y ) ))).
% 1.30/0.78  thf(zip_derived_cl2, plain,
% 1.30/0.78      (![X0 : $i, X1 : $i, X2 : $i]:
% 1.30/0.78         (~ (equidistant @ X0 @ X1 @ X2 @ X2) | ((X0) = (X1)))),
% 1.30/0.78      inference('cnf', [status(esa)], [identity_for_equidistance])).
% 1.30/0.78  thf(zip_derived_cl173, plain,
% 1.30/0.78      (![X0 : $i, X1 : $i, X2 : $i]: ((X1) = (extension @ X2 @ X1 @ X0 @ X0))),
% 1.30/0.78      inference('sup-', [status(thm)], [zip_derived_cl4, zip_derived_cl2])).
% 1.30/0.78  thf(segment_construction1, axiom,
% 1.30/0.78    (between @ X @ Y @ ( extension @ X @ Y @ W @ V ))).
% 1.30/0.78  thf(zip_derived_cl3, plain,
% 1.30/0.78      (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.30/0.78          (between @ X0 @ X1 @ (extension @ X0 @ X1 @ X2 @ X3))),
% 1.30/0.78      inference('cnf', [status(esa)], [segment_construction1])).
% 1.30/0.78  thf(zip_derived_cl176, plain,
% 1.30/0.78      (![X0 : $i, X2 : $i]:  (between @ X2 @ X0 @ X0)),
% 1.30/0.78      inference('sup+', [status(thm)], [zip_derived_cl173, zip_derived_cl3])).
% 1.30/0.78  thf(inner_pasch1, axiom,
% 1.30/0.78    (( ~( between @ U @ V @ W ) ) | ( ~( between @ Y @ X @ W ) ) | 
% 1.30/0.78     ( between @ V @ ( inner_pasch @ U @ V @ W @ X @ Y ) @ Y ))).
% 1.30/0.78  thf(zip_derived_cl7, plain,
% 1.30/0.78      (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 1.30/0.78         (~ (between @ X0 @ X1 @ X2)
% 1.30/0.78          | ~ (between @ X3 @ X4 @ X2)
% 1.30/0.78          |  (between @ X1 @ (inner_pasch @ X0 @ X1 @ X2 @ X4 @ X3) @ X3))),
% 1.30/0.78      inference('cnf', [status(esa)], [inner_pasch1])).
% 1.30/0.78  thf(identity_for_betweeness, axiom,
% 1.30/0.78    (( ~( between @ X @ Y @ X ) ) | ( ( X ) = ( Y ) ))).
% 1.30/0.78  thf(zip_derived_cl6, plain,
% 1.30/0.78      (![X0 : $i, X1 : $i]: (~ (between @ X0 @ X1 @ X0) | ((X0) = (X1)))),
% 1.30/0.78      inference('cnf', [status(esa)], [identity_for_betweeness])).
% 1.30/0.78  thf(zip_derived_cl178, plain,
% 1.30/0.78      (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.30/0.78         (~ (between @ X0 @ X1 @ X2)
% 1.30/0.78          | ~ (between @ X3 @ X0 @ X2)
% 1.30/0.78          | ((X0) = (inner_pasch @ X3 @ X0 @ X2 @ X1 @ X0)))),
% 1.30/0.78      inference('sup-', [status(thm)], [zip_derived_cl7, zip_derived_cl6])).
% 1.30/0.78  thf(inner_pasch2, axiom,
% 1.30/0.78    (( ~( between @ U @ V @ W ) ) | ( ~( between @ Y @ X @ W ) ) | 
% 1.30/0.78     ( between @ X @ ( inner_pasch @ U @ V @ W @ X @ Y ) @ U ))).
% 1.30/0.78  thf(zip_derived_cl8, plain,
% 1.30/0.78      (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 1.30/0.78         (~ (between @ X0 @ X1 @ X2)
% 1.30/0.78          | ~ (between @ X3 @ X4 @ X2)
% 1.30/0.78          |  (between @ X4 @ (inner_pasch @ X0 @ X1 @ X2 @ X4 @ X3) @ X0))),
% 1.30/0.78      inference('cnf', [status(esa)], [inner_pasch2])).
% 1.30/0.78  thf(zip_derived_cl250, plain,
% 1.30/0.78      (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.30/0.78         ( (between @ X2 @ X0 @ X1)
% 1.30/0.78          | ~ (between @ X1 @ X0 @ X3)
% 1.30/0.78          | ~ (between @ X0 @ X2 @ X3)
% 1.30/0.78          | ~ (between @ X0 @ X2 @ X3)
% 1.30/0.78          | ~ (between @ X1 @ X0 @ X3))),
% 1.30/0.78      inference('sup+', [status(thm)], [zip_derived_cl178, zip_derived_cl8])).
% 1.30/0.78  thf(zip_derived_cl252, plain,
% 1.30/0.78      (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.30/0.78         (~ (between @ X0 @ X2 @ X3)
% 1.30/0.78          | ~ (between @ X1 @ X0 @ X3)
% 1.30/0.78          |  (between @ X2 @ X0 @ X1))),
% 1.30/0.78      inference('simplify', [status(thm)], [zip_derived_cl250])).
% 1.30/0.78  thf(zip_derived_cl265, plain,
% 1.30/0.78      (![X0 : $i, X1 : $i, X2 : $i]:
% 1.30/0.78         ( (between @ X0 @ X1 @ X2) | ~ (between @ X2 @ X1 @ X0))),
% 1.30/0.78      inference('sup-', [status(thm)], [zip_derived_cl176, zip_derived_cl252])).
% 1.30/0.78  thf(zip_derived_cl284, plain, ( (between @ w @ u @ v)),
% 1.30/0.78      inference('sup-', [status(thm)], [zip_derived_cl22, zip_derived_cl265])).
% 1.30/0.78  thf(zip_derived_cl286, plain, ($false),
% 1.30/0.78      inference('demod', [status(thm)], [zip_derived_cl159, zip_derived_cl284])).
% 1.30/0.78  
% 1.30/0.78  % SZS output end Refutation
% 1.30/0.78  
% 1.30/0.78  
% 1.30/0.78  % Terminating...
% 1.30/0.84  % Runner terminated.
% 1.30/0.85  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------