TSTP Solution File: GEO053-2 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GEO053-2 : 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.e8UFxU6BF3 true
% Computer : n025.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 23:56:14 EDT 2023
% Result : Unsatisfiable 1.29s 1.29s
% Output : Refutation 1.29s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GEO053-2 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.e8UFxU6BF3 true
% 0.13/0.34 % Computer : n025.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 23:20:25 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % Running portfolio for 300 s
% 0.13/0.35 % 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
% 0.21/0.64 % 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/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.21/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.21/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.21/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.21/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 1.29/1.29 % Solved by fo/fo5.sh.
% 1.29/1.29 % done 471 iterations in 0.527s
% 1.29/1.29 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.29/1.29 % SZS output start Refutation
% 1.29/1.29 thf(between_type, type, between: $i > $i > $i > $o).
% 1.29/1.29 thf(u_type, type, u: $i).
% 1.29/1.29 thf(v_type, type, v: $i).
% 1.29/1.29 thf(w_type, type, w: $i).
% 1.29/1.29 thf(equidistant_type, type, equidistant: $i > $i > $i > $i > $o).
% 1.29/1.29 thf(inner_pasch_type, type, inner_pasch: $i > $i > $i > $i > $i > $i).
% 1.29/1.29 thf(extension_type, type, extension: $i > $i > $i > $i > $i).
% 1.29/1.29 thf(reflexivity_for_equidistance, axiom, (equidistant @ X @ Y @ Y @ X)).
% 1.29/1.29 thf(zip_derived_cl0, plain,
% 1.29/1.29 (![X0 : $i, X1 : $i]: (equidistant @ X0 @ X1 @ X1 @ X0)),
% 1.29/1.29 inference('cnf', [status(esa)], [reflexivity_for_equidistance])).
% 1.29/1.29 thf(segment_construction1, axiom,
% 1.29/1.29 (between @ X @ Y @ ( extension @ X @ Y @ W @ V ))).
% 1.29/1.29 thf(zip_derived_cl3, plain,
% 1.29/1.29 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.29/1.29 (between @ X0 @ X1 @ (extension @ X0 @ X1 @ X2 @ X3))),
% 1.29/1.29 inference('cnf', [status(esa)], [segment_construction1])).
% 1.29/1.29 thf(zip_derived_cl0, plain,
% 1.29/1.30 (![X0 : $i, X1 : $i]: (equidistant @ X0 @ X1 @ X1 @ X0)),
% 1.29/1.30 inference('cnf', [status(esa)], [reflexivity_for_equidistance])).
% 1.29/1.30 thf(zip_derived_cl0, plain,
% 1.29/1.30 (![X0 : $i, X1 : $i]: (equidistant @ X0 @ X1 @ X1 @ X0)),
% 1.29/1.30 inference('cnf', [status(esa)], [reflexivity_for_equidistance])).
% 1.29/1.30 thf(transitivity_for_equidistance, axiom,
% 1.29/1.30 (( ~( equidistant @ X @ Y @ Z @ V ) ) |
% 1.29/1.30 ( ~( equidistant @ X @ Y @ V2 @ W ) ) | ( equidistant @ Z @ V @ V2 @ W ))).
% 1.29/1.30 thf(zip_derived_cl1, plain,
% 1.29/1.30 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 1.29/1.30 (~ (equidistant @ X0 @ X1 @ X2 @ X3)
% 1.29/1.30 | ~ (equidistant @ X0 @ X1 @ X4 @ X5)
% 1.29/1.30 | (equidistant @ X2 @ X3 @ X4 @ X5))),
% 1.29/1.30 inference('cnf', [status(esa)], [transitivity_for_equidistance])).
% 1.29/1.30 thf(zip_derived_cl21, plain,
% 1.29/1.30 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.29/1.30 ( (equidistant @ X1 @ X0 @ X3 @ X2)
% 1.29/1.30 | ~ (equidistant @ X0 @ X1 @ X3 @ X2))),
% 1.29/1.30 inference('sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl1])).
% 1.29/1.30 thf(zip_derived_cl129, plain,
% 1.29/1.30 (![X0 : $i, X1 : $i]: (equidistant @ X1 @ X0 @ X1 @ X0)),
% 1.29/1.30 inference('sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl21])).
% 1.29/1.30 thf(segment_construction2, axiom,
% 1.29/1.30 (equidistant @ Y @ ( extension @ X @ Y @ W @ V ) @ W @ V)).
% 1.29/1.30 thf(zip_derived_cl4, plain,
% 1.29/1.30 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.29/1.30 (equidistant @ X0 @ (extension @ X1 @ X0 @ X2 @ X3) @ X2 @ X3)),
% 1.29/1.30 inference('cnf', [status(esa)], [segment_construction2])).
% 1.29/1.30 thf(zip_derived_cl1, plain,
% 1.29/1.30 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 1.29/1.30 (~ (equidistant @ X0 @ X1 @ X2 @ X3)
% 1.29/1.30 | ~ (equidistant @ X0 @ X1 @ X4 @ X5)
% 1.29/1.30 | (equidistant @ X2 @ X3 @ X4 @ X5))),
% 1.29/1.30 inference('cnf', [status(esa)], [transitivity_for_equidistance])).
% 1.29/1.30 thf(zip_derived_cl22, plain,
% 1.29/1.30 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 1.29/1.30 ( (equidistant @ X1 @ X0 @ X5 @ X4)
% 1.29/1.30 | ~ (equidistant @ X2 @ (extension @ X3 @ X2 @ X1 @ X0) @ X5 @ X4))),
% 1.29/1.30 inference('sup-', [status(thm)], [zip_derived_cl4, zip_derived_cl1])).
% 1.29/1.30 thf(zip_derived_cl160, plain,
% 1.29/1.30 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.29/1.30 (equidistant @ X1 @ X0 @ X2 @ (extension @ X3 @ X2 @ X1 @ X0))),
% 1.29/1.30 inference('sup-', [status(thm)], [zip_derived_cl129, zip_derived_cl22])).
% 1.29/1.30 thf(zip_derived_cl4, plain,
% 1.29/1.30 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.29/1.30 (equidistant @ X0 @ (extension @ X1 @ X0 @ X2 @ X3) @ X2 @ X3)),
% 1.29/1.30 inference('cnf', [status(esa)], [segment_construction2])).
% 1.29/1.30 thf(identity_for_equidistance, axiom,
% 1.29/1.30 (( ~( equidistant @ X @ Y @ Z @ Z ) ) | ( ( X ) = ( Y ) ))).
% 1.29/1.30 thf(zip_derived_cl2, plain,
% 1.29/1.30 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.29/1.30 (~ (equidistant @ X0 @ X1 @ X2 @ X2) | ((X0) = (X1)))),
% 1.29/1.30 inference('cnf', [status(esa)], [identity_for_equidistance])).
% 1.29/1.30 thf(zip_derived_cl27, plain,
% 1.29/1.30 (![X0 : $i, X1 : $i, X2 : $i]: ((X1) = (extension @ X2 @ X1 @ X0 @ X0))),
% 1.29/1.30 inference('sup-', [status(thm)], [zip_derived_cl4, zip_derived_cl2])).
% 1.29/1.30 thf(zip_derived_cl3, plain,
% 1.29/1.30 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.29/1.30 (between @ X0 @ X1 @ (extension @ X0 @ X1 @ X2 @ X3))),
% 1.29/1.30 inference('cnf', [status(esa)], [segment_construction1])).
% 1.29/1.30 thf(zip_derived_cl54, plain,
% 1.29/1.30 (![X0 : $i, X2 : $i]: (between @ X2 @ X0 @ X0)),
% 1.29/1.30 inference('sup+', [status(thm)], [zip_derived_cl27, zip_derived_cl3])).
% 1.29/1.30 thf(v_between_u_and_w, axiom, (between @ u @ v @ w)).
% 1.29/1.30 thf(zip_derived_cl18, plain, ( (between @ u @ v @ w)),
% 1.29/1.30 inference('cnf', [status(esa)], [v_between_u_and_w])).
% 1.29/1.30 thf(inner_pasch1, axiom,
% 1.29/1.30 (( ~( between @ U @ V @ W ) ) | ( ~( between @ Y @ X @ W ) ) |
% 1.29/1.30 ( between @ V @ ( inner_pasch @ U @ V @ W @ X @ Y ) @ Y ))).
% 1.29/1.30 thf(zip_derived_cl7, plain,
% 1.29/1.30 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 1.29/1.30 (~ (between @ X0 @ X1 @ X2)
% 1.29/1.30 | ~ (between @ X3 @ X4 @ X2)
% 1.29/1.30 | (between @ X1 @ (inner_pasch @ X0 @ X1 @ X2 @ X4 @ X3) @ X3))),
% 1.29/1.30 inference('cnf', [status(esa)], [inner_pasch1])).
% 1.29/1.30 thf(zip_derived_cl38, plain,
% 1.29/1.30 (![X0 : $i, X1 : $i]:
% 1.29/1.30 ( (between @ v @ (inner_pasch @ u @ v @ w @ X1 @ X0) @ X0)
% 1.29/1.30 | ~ (between @ X0 @ X1 @ w))),
% 1.29/1.30 inference('sup-', [status(thm)], [zip_derived_cl18, zip_derived_cl7])).
% 1.29/1.30 thf(zip_derived_cl226, plain,
% 1.29/1.30 (![X0 : $i]: (between @ v @ (inner_pasch @ u @ v @ w @ w @ X0) @ X0)),
% 1.29/1.30 inference('sup-', [status(thm)], [zip_derived_cl54, zip_derived_cl38])).
% 1.29/1.30 thf(identity_for_betweeness, axiom,
% 1.29/1.30 (( ~( between @ X @ Y @ X ) ) | ( ( X ) = ( Y ) ))).
% 1.29/1.30 thf(zip_derived_cl6, plain,
% 1.29/1.30 (![X0 : $i, X1 : $i]: (~ (between @ X0 @ X1 @ X0) | ((X0) = (X1)))),
% 1.29/1.30 inference('cnf', [status(esa)], [identity_for_betweeness])).
% 1.29/1.30 thf(zip_derived_cl228, plain, (((v) = (inner_pasch @ u @ v @ w @ w @ v))),
% 1.29/1.30 inference('sup-', [status(thm)], [zip_derived_cl226, zip_derived_cl6])).
% 1.29/1.30 thf(zip_derived_cl54, plain,
% 1.29/1.30 (![X0 : $i, X2 : $i]: (between @ X2 @ X0 @ X0)),
% 1.29/1.30 inference('sup+', [status(thm)], [zip_derived_cl27, zip_derived_cl3])).
% 1.29/1.30 thf(zip_derived_cl18, plain, ( (between @ u @ v @ w)),
% 1.29/1.30 inference('cnf', [status(esa)], [v_between_u_and_w])).
% 1.29/1.30 thf(inner_pasch2, axiom,
% 1.29/1.30 (( ~( between @ U @ V @ W ) ) | ( ~( between @ Y @ X @ W ) ) |
% 1.29/1.30 ( between @ X @ ( inner_pasch @ U @ V @ W @ X @ Y ) @ U ))).
% 1.29/1.30 thf(zip_derived_cl8, plain,
% 1.29/1.30 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 1.29/1.30 (~ (between @ X0 @ X1 @ X2)
% 1.29/1.30 | ~ (between @ X3 @ X4 @ X2)
% 1.29/1.30 | (between @ X4 @ (inner_pasch @ X0 @ X1 @ X2 @ X4 @ X3) @ X0))),
% 1.29/1.30 inference('cnf', [status(esa)], [inner_pasch2])).
% 1.29/1.30 thf(zip_derived_cl40, plain,
% 1.29/1.30 (![X0 : $i, X1 : $i]:
% 1.29/1.30 ( (between @ X1 @ (inner_pasch @ u @ v @ w @ X1 @ X0) @ u)
% 1.29/1.30 | ~ (between @ X0 @ X1 @ w))),
% 1.29/1.30 inference('sup-', [status(thm)], [zip_derived_cl18, zip_derived_cl8])).
% 1.29/1.30 thf(zip_derived_cl237, plain,
% 1.29/1.30 (![X0 : $i]: (between @ w @ (inner_pasch @ u @ v @ w @ w @ X0) @ u)),
% 1.29/1.30 inference('sup-', [status(thm)], [zip_derived_cl54, zip_derived_cl40])).
% 1.29/1.30 thf(zip_derived_cl245, plain, ( (between @ w @ v @ u)),
% 1.29/1.30 inference('sup+', [status(thm)], [zip_derived_cl228, zip_derived_cl237])).
% 1.29/1.30 thf(zip_derived_cl0, plain,
% 1.29/1.30 (![X0 : $i, X1 : $i]: (equidistant @ X0 @ X1 @ X1 @ X0)),
% 1.29/1.30 inference('cnf', [status(esa)], [reflexivity_for_equidistance])).
% 1.29/1.30 thf(zip_derived_cl0, plain,
% 1.29/1.30 (![X0 : $i, X1 : $i]: (equidistant @ X0 @ X1 @ X1 @ X0)),
% 1.29/1.30 inference('cnf', [status(esa)], [reflexivity_for_equidistance])).
% 1.29/1.30 thf(u_to_v_equals_u_to_w, axiom, (equidistant @ u @ v @ u @ w)).
% 1.29/1.30 thf(zip_derived_cl19, plain, ( (equidistant @ u @ v @ u @ w)),
% 1.29/1.30 inference('cnf', [status(esa)], [u_to_v_equals_u_to_w])).
% 1.29/1.30 thf(zip_derived_cl1, plain,
% 1.29/1.30 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 1.29/1.30 (~ (equidistant @ X0 @ X1 @ X2 @ X3)
% 1.29/1.30 | ~ (equidistant @ X0 @ X1 @ X4 @ X5)
% 1.29/1.30 | (equidistant @ X2 @ X3 @ X4 @ X5))),
% 1.29/1.30 inference('cnf', [status(esa)], [transitivity_for_equidistance])).
% 1.29/1.30 thf(zip_derived_cl23, plain,
% 1.29/1.30 (![X0 : $i, X1 : $i]:
% 1.29/1.30 ( (equidistant @ u @ w @ X1 @ X0) | ~ (equidistant @ u @ v @ X1 @ X0))),
% 1.29/1.30 inference('sup-', [status(thm)], [zip_derived_cl19, zip_derived_cl1])).
% 1.29/1.30 thf(zip_derived_cl28, plain, ( (equidistant @ u @ w @ v @ u)),
% 1.29/1.30 inference('sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl23])).
% 1.29/1.30 thf(zip_derived_cl1, plain,
% 1.29/1.30 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 1.29/1.30 (~ (equidistant @ X0 @ X1 @ X2 @ X3)
% 1.29/1.30 | ~ (equidistant @ X0 @ X1 @ X4 @ X5)
% 1.29/1.30 | (equidistant @ X2 @ X3 @ X4 @ X5))),
% 1.29/1.30 inference('cnf', [status(esa)], [transitivity_for_equidistance])).
% 1.29/1.30 thf(zip_derived_cl30, plain,
% 1.29/1.30 (![X0 : $i, X1 : $i]:
% 1.29/1.30 ( (equidistant @ v @ u @ X1 @ X0) | ~ (equidistant @ u @ w @ X1 @ X0))),
% 1.29/1.30 inference('sup-', [status(thm)], [zip_derived_cl28, zip_derived_cl1])).
% 1.29/1.30 thf(zip_derived_cl32, plain, ( (equidistant @ v @ u @ w @ u)),
% 1.29/1.30 inference('sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl30])).
% 1.29/1.30 thf(zip_derived_cl0, plain,
% 1.29/1.30 (![X0 : $i, X1 : $i]: (equidistant @ X0 @ X1 @ X1 @ X0)),
% 1.29/1.30 inference('cnf', [status(esa)], [reflexivity_for_equidistance])).
% 1.29/1.30 thf(outer_five_segment, axiom,
% 1.29/1.30 (( ~( equidistant @ X @ Y @ X1 @ Y1 ) ) |
% 1.29/1.30 ( ~( equidistant @ Y @ Z @ Y1 @ Z1 ) ) |
% 1.29/1.30 ( ~( equidistant @ X @ V @ X1 @ V1 ) ) |
% 1.29/1.30 ( ~( equidistant @ Y @ V @ Y1 @ V1 ) ) | ( ~( between @ X @ Y @ Z ) ) |
% 1.29/1.30 ( ~( between @ X1 @ Y1 @ Z1 ) ) | ( ( X ) = ( Y ) ) |
% 1.29/1.30 ( equidistant @ Z @ V @ Z1 @ V1 ))).
% 1.29/1.30 thf(zip_derived_cl5, plain,
% 1.29/1.30 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 1.29/1.30 (~ (equidistant @ X0 @ X1 @ X2 @ X3)
% 1.29/1.30 | ~ (equidistant @ X1 @ X4 @ X3 @ X5)
% 1.29/1.30 | ~ (equidistant @ X0 @ X6 @ X2 @ X7)
% 1.29/1.30 | ~ (equidistant @ X1 @ X6 @ X3 @ X7)
% 1.29/1.30 | ~ (between @ X0 @ X1 @ X4)
% 1.29/1.30 | ~ (between @ X2 @ X3 @ X5)
% 1.29/1.30 | ((X0) = (X1))
% 1.29/1.30 | (equidistant @ X4 @ X6 @ X5 @ X7))),
% 1.29/1.30 inference('cnf', [status(esa)], [outer_five_segment])).
% 1.29/1.30 thf(zip_derived_cl65, plain,
% 1.29/1.30 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 1.29/1.30 ( (equidistant @ X5 @ X4 @ X3 @ X2)
% 1.29/1.30 | ((X0) = (X1))
% 1.29/1.30 | ~ (between @ X1 @ X0 @ X3)
% 1.29/1.30 | ~ (between @ X0 @ X1 @ X5)
% 1.29/1.30 | ~ (equidistant @ X1 @ X4 @ X0 @ X2)
% 1.29/1.30 | ~ (equidistant @ X0 @ X4 @ X1 @ X2)
% 1.29/1.30 | ~ (equidistant @ X1 @ X5 @ X0 @ X3))),
% 1.29/1.30 inference('sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl5])).
% 1.29/1.30 thf(zip_derived_cl2677, plain,
% 1.29/1.30 (![X0 : $i, X1 : $i]:
% 1.29/1.30 (~ (equidistant @ v @ X1 @ w @ X0)
% 1.29/1.30 | ~ (equidistant @ w @ u @ v @ u)
% 1.29/1.30 | ~ (between @ w @ v @ X1)
% 1.29/1.30 | ~ (between @ v @ w @ X0)
% 1.29/1.30 | ((w) = (v))
% 1.29/1.30 | (equidistant @ X1 @ u @ X0 @ u))),
% 1.29/1.30 inference('sup-', [status(thm)], [zip_derived_cl32, zip_derived_cl65])).
% 1.29/1.30 thf(zip_derived_cl28, plain, ( (equidistant @ u @ w @ v @ u)),
% 1.29/1.30 inference('sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl23])).
% 1.29/1.30 thf(zip_derived_cl30, plain,
% 1.29/1.30 (![X0 : $i, X1 : $i]:
% 1.29/1.30 ( (equidistant @ v @ u @ X1 @ X0) | ~ (equidistant @ u @ w @ X1 @ X0))),
% 1.29/1.30 inference('sup-', [status(thm)], [zip_derived_cl28, zip_derived_cl1])).
% 1.29/1.30 thf(zip_derived_cl34, plain, ( (equidistant @ v @ u @ v @ u)),
% 1.29/1.30 inference('sup-', [status(thm)], [zip_derived_cl28, zip_derived_cl30])).
% 1.29/1.30 thf(zip_derived_cl32, plain, ( (equidistant @ v @ u @ w @ u)),
% 1.29/1.30 inference('sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl30])).
% 1.29/1.30 thf(zip_derived_cl1, plain,
% 1.29/1.30 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 1.29/1.30 (~ (equidistant @ X0 @ X1 @ X2 @ X3)
% 1.29/1.30 | ~ (equidistant @ X0 @ X1 @ X4 @ X5)
% 1.29/1.30 | (equidistant @ X2 @ X3 @ X4 @ X5))),
% 1.29/1.30 inference('cnf', [status(esa)], [transitivity_for_equidistance])).
% 1.29/1.30 thf(zip_derived_cl35, plain,
% 1.29/1.30 (![X0 : $i, X1 : $i]:
% 1.29/1.30 ( (equidistant @ w @ u @ X1 @ X0) | ~ (equidistant @ v @ u @ X1 @ X0))),
% 1.29/1.30 inference('sup-', [status(thm)], [zip_derived_cl32, zip_derived_cl1])).
% 1.29/1.30 thf(zip_derived_cl84, plain, ( (equidistant @ w @ u @ v @ u)),
% 1.29/1.30 inference('sup-', [status(thm)], [zip_derived_cl34, zip_derived_cl35])).
% 1.29/1.30 thf(zip_derived_cl2692, plain,
% 1.29/1.30 (![X0 : $i, X1 : $i]:
% 1.29/1.30 (~ (equidistant @ v @ X1 @ w @ X0)
% 1.29/1.30 | ~ (between @ w @ v @ X1)
% 1.29/1.30 | ~ (between @ v @ w @ X0)
% 1.29/1.30 | ((w) = (v))
% 1.29/1.30 | (equidistant @ X1 @ u @ X0 @ u))),
% 1.29/1.30 inference('demod', [status(thm)], [zip_derived_cl2677, zip_derived_cl84])).
% 1.29/1.30 thf(prove_v_equals_w, conjecture, (( v ) = ( w ))).
% 1.29/1.30 thf(zf_stmt_0, negated_conjecture, (( v ) != ( w )),
% 1.29/1.30 inference('cnf.neg', [status(esa)], [prove_v_equals_w])).
% 1.29/1.30 thf(zip_derived_cl20, plain, (((v) != (w))),
% 1.29/1.30 inference('cnf', [status(esa)], [zf_stmt_0])).
% 1.29/1.30 thf(zip_derived_cl2693, plain,
% 1.29/1.30 (![X0 : $i, X1 : $i]:
% 1.29/1.30 (~ (equidistant @ v @ X1 @ w @ X0)
% 1.29/1.30 | ~ (between @ w @ v @ X1)
% 1.29/1.30 | ~ (between @ v @ w @ X0)
% 1.29/1.30 | (equidistant @ X1 @ u @ X0 @ u))),
% 1.29/1.30 inference('simplify_reflect-', [status(thm)],
% 1.29/1.30 [zip_derived_cl2692, zip_derived_cl20])).
% 1.29/1.30 thf(zip_derived_cl2740, plain,
% 1.29/1.30 (![X0 : $i]:
% 1.29/1.30 ( (equidistant @ u @ u @ X0 @ u)
% 1.29/1.30 | ~ (between @ v @ w @ X0)
% 1.29/1.30 | ~ (equidistant @ v @ u @ w @ X0))),
% 1.29/1.30 inference('sup-', [status(thm)], [zip_derived_cl245, zip_derived_cl2693])).
% 1.29/1.30 thf(zip_derived_cl2767, plain,
% 1.29/1.30 (![X0 : $i]:
% 1.29/1.30 (~ (between @ v @ w @ (extension @ X0 @ w @ v @ u))
% 1.29/1.30 | (equidistant @ u @ u @ (extension @ X0 @ w @ v @ u) @ u))),
% 1.29/1.30 inference('sup-', [status(thm)], [zip_derived_cl160, zip_derived_cl2740])).
% 1.29/1.30 thf(zip_derived_cl2812, plain,
% 1.29/1.30 ( (equidistant @ u @ u @ (extension @ v @ w @ v @ u) @ u)),
% 1.29/1.30 inference('sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl2767])).
% 1.29/1.30 thf(zip_derived_cl27, plain,
% 1.29/1.30 (![X0 : $i, X1 : $i, X2 : $i]: ((X1) = (extension @ X2 @ X1 @ X0 @ X0))),
% 1.29/1.30 inference('sup-', [status(thm)], [zip_derived_cl4, zip_derived_cl2])).
% 1.29/1.30 thf(zip_derived_cl4, plain,
% 1.29/1.30 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.29/1.30 (equidistant @ X0 @ (extension @ X1 @ X0 @ X2 @ X3) @ X2 @ X3)),
% 1.29/1.30 inference('cnf', [status(esa)], [segment_construction2])).
% 1.29/1.30 thf(zip_derived_cl55, plain,
% 1.29/1.30 (![X0 : $i, X1 : $i]: (equidistant @ X0 @ X0 @ X1 @ X1)),
% 1.29/1.30 inference('sup+', [status(thm)], [zip_derived_cl27, zip_derived_cl4])).
% 1.29/1.30 thf(zip_derived_cl1, plain,
% 1.29/1.30 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 1.29/1.30 (~ (equidistant @ X0 @ X1 @ X2 @ X3)
% 1.29/1.30 | ~ (equidistant @ X0 @ X1 @ X4 @ X5)
% 1.29/1.30 | (equidistant @ X2 @ X3 @ X4 @ X5))),
% 1.29/1.30 inference('cnf', [status(esa)], [transitivity_for_equidistance])).
% 1.29/1.30 thf(zip_derived_cl62, plain,
% 1.29/1.30 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.29/1.30 ( (equidistant @ X0 @ X0 @ X3 @ X2)
% 1.29/1.30 | ~ (equidistant @ X1 @ X1 @ X3 @ X2))),
% 1.29/1.30 inference('sup-', [status(thm)], [zip_derived_cl55, zip_derived_cl1])).
% 1.29/1.30 thf(zip_derived_cl2816, plain,
% 1.29/1.30 (![X0 : $i]: (equidistant @ X0 @ X0 @ (extension @ v @ w @ v @ u) @ u)),
% 1.29/1.30 inference('sup-', [status(thm)], [zip_derived_cl2812, zip_derived_cl62])).
% 1.29/1.30 thf(zip_derived_cl1, plain,
% 1.29/1.30 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 1.29/1.30 (~ (equidistant @ X0 @ X1 @ X2 @ X3)
% 1.29/1.30 | ~ (equidistant @ X0 @ X1 @ X4 @ X5)
% 1.29/1.30 | (equidistant @ X2 @ X3 @ X4 @ X5))),
% 1.29/1.30 inference('cnf', [status(esa)], [transitivity_for_equidistance])).
% 1.29/1.30 thf(zip_derived_cl2938, plain,
% 1.29/1.30 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.29/1.30 ( (equidistant @ (extension @ v @ w @ v @ u) @ u @ X2 @ X1)
% 1.29/1.30 | ~ (equidistant @ X0 @ X0 @ X2 @ X1))),
% 1.29/1.30 inference('sup-', [status(thm)], [zip_derived_cl2816, zip_derived_cl1])).
% 1.29/1.30 thf(zip_derived_cl2951, plain,
% 1.29/1.30 (![X0 : $i]: (equidistant @ (extension @ v @ w @ v @ u) @ u @ X0 @ X0)),
% 1.29/1.30 inference('sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl2938])).
% 1.29/1.30 thf(zip_derived_cl2, plain,
% 1.29/1.30 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.29/1.30 (~ (equidistant @ X0 @ X1 @ X2 @ X2) | ((X0) = (X1)))),
% 1.29/1.30 inference('cnf', [status(esa)], [identity_for_equidistance])).
% 1.29/1.30 thf(zip_derived_cl2965, plain, (((extension @ v @ w @ v @ u) = (u))),
% 1.29/1.30 inference('sup-', [status(thm)], [zip_derived_cl2951, zip_derived_cl2])).
% 1.29/1.30 thf(zip_derived_cl3, plain,
% 1.29/1.30 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.29/1.30 (between @ X0 @ X1 @ (extension @ X0 @ X1 @ X2 @ X3))),
% 1.29/1.30 inference('cnf', [status(esa)], [segment_construction1])).
% 1.29/1.30 thf(zip_derived_cl2977, plain, ( (between @ v @ w @ u)),
% 1.29/1.30 inference('sup+', [status(thm)], [zip_derived_cl2965, zip_derived_cl3])).
% 1.29/1.30 thf(zip_derived_cl245, plain, ( (between @ w @ v @ u)),
% 1.29/1.30 inference('sup+', [status(thm)], [zip_derived_cl228, zip_derived_cl237])).
% 1.29/1.30 thf(zip_derived_cl8, plain,
% 1.29/1.30 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 1.29/1.30 (~ (between @ X0 @ X1 @ X2)
% 1.29/1.30 | ~ (between @ X3 @ X4 @ X2)
% 1.29/1.30 | (between @ X4 @ (inner_pasch @ X0 @ X1 @ X2 @ X4 @ X3) @ X0))),
% 1.29/1.30 inference('cnf', [status(esa)], [inner_pasch2])).
% 1.29/1.30 thf(zip_derived_cl247, plain,
% 1.29/1.30 (![X0 : $i, X1 : $i]:
% 1.29/1.30 ( (between @ X1 @ (inner_pasch @ w @ v @ u @ X1 @ X0) @ w)
% 1.29/1.30 | ~ (between @ X0 @ X1 @ u))),
% 1.29/1.30 inference('sup-', [status(thm)], [zip_derived_cl245, zip_derived_cl8])).
% 1.29/1.30 thf(zip_derived_cl3016, plain,
% 1.29/1.30 ( (between @ w @ (inner_pasch @ w @ v @ u @ w @ v) @ w)),
% 1.29/1.30 inference('sup-', [status(thm)], [zip_derived_cl2977, zip_derived_cl247])).
% 1.29/1.30 thf(zip_derived_cl2977, plain, ( (between @ v @ w @ u)),
% 1.29/1.30 inference('sup+', [status(thm)], [zip_derived_cl2965, zip_derived_cl3])).
% 1.29/1.30 thf(zip_derived_cl245, plain, ( (between @ w @ v @ u)),
% 1.29/1.30 inference('sup+', [status(thm)], [zip_derived_cl228, zip_derived_cl237])).
% 1.29/1.30 thf(zip_derived_cl7, plain,
% 1.29/1.30 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 1.29/1.30 (~ (between @ X0 @ X1 @ X2)
% 1.29/1.30 | ~ (between @ X3 @ X4 @ X2)
% 1.29/1.30 | (between @ X1 @ (inner_pasch @ X0 @ X1 @ X2 @ X4 @ X3) @ X3))),
% 1.29/1.30 inference('cnf', [status(esa)], [inner_pasch1])).
% 1.29/1.30 thf(zip_derived_cl246, plain,
% 1.29/1.30 (![X0 : $i, X1 : $i]:
% 1.29/1.30 ( (between @ v @ (inner_pasch @ w @ v @ u @ X1 @ X0) @ X0)
% 1.29/1.30 | ~ (between @ X0 @ X1 @ u))),
% 1.29/1.30 inference('sup-', [status(thm)], [zip_derived_cl245, zip_derived_cl7])).
% 1.29/1.30 thf(zip_derived_cl3015, plain,
% 1.29/1.30 ( (between @ v @ (inner_pasch @ w @ v @ u @ w @ v) @ v)),
% 1.29/1.30 inference('sup-', [status(thm)], [zip_derived_cl2977, zip_derived_cl246])).
% 1.29/1.30 thf(zip_derived_cl6, plain,
% 1.29/1.30 (![X0 : $i, X1 : $i]: (~ (between @ X0 @ X1 @ X0) | ((X0) = (X1)))),
% 1.29/1.30 inference('cnf', [status(esa)], [identity_for_betweeness])).
% 1.29/1.30 thf(zip_derived_cl3253, plain, (((v) = (inner_pasch @ w @ v @ u @ w @ v))),
% 1.29/1.30 inference('sup-', [status(thm)], [zip_derived_cl3015, zip_derived_cl6])).
% 1.29/1.30 thf(zip_derived_cl3275, plain, ( (between @ w @ v @ w)),
% 1.29/1.30 inference('demod', [status(thm)],
% 1.29/1.30 [zip_derived_cl3016, zip_derived_cl3253])).
% 1.29/1.30 thf(zip_derived_cl6, plain,
% 1.29/1.30 (![X0 : $i, X1 : $i]: (~ (between @ X0 @ X1 @ X0) | ((X0) = (X1)))),
% 1.29/1.30 inference('cnf', [status(esa)], [identity_for_betweeness])).
% 1.29/1.30 thf(zip_derived_cl3276, plain, (((w) = (v))),
% 1.29/1.30 inference('sup-', [status(thm)], [zip_derived_cl3275, zip_derived_cl6])).
% 1.29/1.30 thf(zip_derived_cl20, plain, (((v) != (w))),
% 1.29/1.30 inference('cnf', [status(esa)], [zf_stmt_0])).
% 1.29/1.30 thf(zip_derived_cl3313, plain, ($false),
% 1.29/1.30 inference('simplify_reflect-', [status(thm)],
% 1.29/1.30 [zip_derived_cl3276, zip_derived_cl20])).
% 1.29/1.30
% 1.29/1.30 % SZS output end Refutation
% 1.29/1.30
% 1.29/1.30
% 1.29/1.30 % Terminating...
% 1.82/1.41 % Runner terminated.
% 1.82/1.41 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------