TSTP Solution File: GEO060-2 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GEO060-2 : 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.OdYwalhJ6p true
% Computer : n021.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 23:56:18 EDT 2023
% Result : Unsatisfiable 258.93s 37.88s
% Output : Refutation 258.93s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO060-2 : TPTP v8.1.2. Released v1.0.0.
% 0.07/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.OdYwalhJ6p true
% 0.14/0.35 % Computer : n021.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Tue Aug 29 19:41:59 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % Running portfolio for 300 s
% 0.14/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.35 % Number of cores: 8
% 0.14/0.35 % Python version: Python 3.6.8
% 0.14/0.36 % Running in FO mode
% 0.54/0.63 % Total configuration time : 435
% 0.54/0.63 % Estimated wc time : 1092
% 0.54/0.63 % Estimated cpu time (7 cpus) : 156.0
% 0.54/0.70 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.54/0.72 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.56/0.72 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.56/0.75 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.56/0.75 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.56/0.75 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.56/0.75 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 258.93/37.88 % Solved by fo/fo5.sh.
% 258.93/37.88 % done 9954 iterations in 37.112s
% 258.93/37.88 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 258.93/37.88 % SZS output start Refutation
% 258.93/37.88 thf(between_type, type, between: $i > $i > $i > $o).
% 258.93/37.88 thf(reflection_type, type, reflection: $i > $i > $i).
% 258.93/37.88 thf(equidistant_type, type, equidistant: $i > $i > $i > $i > $o).
% 258.93/37.88 thf(u_type, type, u: $i).
% 258.93/37.88 thf(inner_pasch_type, type, inner_pasch: $i > $i > $i > $i > $i > $i).
% 258.93/37.88 thf(v_type, type, v: $i).
% 258.93/37.88 thf(extension_type, type, extension: $i > $i > $i > $i > $i).
% 258.93/37.88 thf(reflection, axiom,
% 258.93/37.88 (( reflection @ U @ V ) = ( extension @ U @ V @ U @ V ))).
% 258.93/37.88 thf(zip_derived_cl18, plain,
% 258.93/37.88 (![X0 : $i, X1 : $i]:
% 258.93/37.88 ((reflection @ X0 @ X1) = (extension @ X0 @ X1 @ X0 @ X1))),
% 258.93/37.88 inference('cnf', [status(esa)], [reflection])).
% 258.93/37.88 thf(segment_construction1, axiom,
% 258.93/37.88 (between @ X @ Y @ ( extension @ X @ Y @ W @ V ))).
% 258.93/37.88 thf(zip_derived_cl3, plain,
% 258.93/37.88 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 258.93/37.88 (between @ X0 @ X1 @ (extension @ X0 @ X1 @ X2 @ X3))),
% 258.93/37.88 inference('cnf', [status(esa)], [segment_construction1])).
% 258.93/37.88 thf(zip_derived_cl21, plain,
% 258.93/37.88 (![X0 : $i, X1 : $i]: (between @ X1 @ X0 @ (reflection @ X1 @ X0))),
% 258.93/37.88 inference('sup+', [status(thm)], [zip_derived_cl18, zip_derived_cl3])).
% 258.93/37.88 thf(reflexivity_for_equidistance, axiom, (equidistant @ X @ Y @ Y @ X)).
% 258.93/37.88 thf(zip_derived_cl0, plain,
% 258.93/37.88 (![X0 : $i, X1 : $i]: (equidistant @ X0 @ X1 @ X1 @ X0)),
% 258.93/37.88 inference('cnf', [status(esa)], [reflexivity_for_equidistance])).
% 258.93/37.88 thf(zip_derived_cl0, plain,
% 258.93/37.88 (![X0 : $i, X1 : $i]: (equidistant @ X0 @ X1 @ X1 @ X0)),
% 258.93/37.88 inference('cnf', [status(esa)], [reflexivity_for_equidistance])).
% 258.93/37.88 thf(transitivity_for_equidistance, axiom,
% 258.93/37.88 (( ~( equidistant @ X @ Y @ Z @ V ) ) |
% 258.93/37.88 ( ~( equidistant @ X @ Y @ V2 @ W ) ) | ( equidistant @ Z @ V @ V2 @ W ))).
% 258.93/37.88 thf(zip_derived_cl1, plain,
% 258.93/37.88 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 258.93/37.88 (~ (equidistant @ X0 @ X1 @ X2 @ X3)
% 258.93/37.88 | ~ (equidistant @ X0 @ X1 @ X4 @ X5)
% 258.93/37.88 | (equidistant @ X2 @ X3 @ X4 @ X5))),
% 258.93/37.88 inference('cnf', [status(esa)], [transitivity_for_equidistance])).
% 258.93/37.88 thf(zip_derived_cl22, plain,
% 258.93/37.88 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 258.93/37.88 ( (equidistant @ X1 @ X0 @ X3 @ X2)
% 258.93/37.88 | ~ (equidistant @ X0 @ X1 @ X3 @ X2))),
% 258.93/37.88 inference('sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl1])).
% 258.93/37.88 thf(zip_derived_cl25, plain,
% 258.93/37.88 (![X0 : $i, X1 : $i]: (equidistant @ X1 @ X0 @ X1 @ X0)),
% 258.93/37.88 inference('sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl22])).
% 258.93/37.88 thf(zip_derived_cl18, plain,
% 258.93/37.88 (![X0 : $i, X1 : $i]:
% 258.93/37.88 ((reflection @ X0 @ X1) = (extension @ X0 @ X1 @ X0 @ X1))),
% 258.93/37.88 inference('cnf', [status(esa)], [reflection])).
% 258.93/37.88 thf(segment_construction2, axiom,
% 258.93/37.88 (equidistant @ Y @ ( extension @ X @ Y @ W @ V ) @ W @ V)).
% 258.93/37.88 thf(zip_derived_cl4, plain,
% 258.93/37.88 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 258.93/37.88 (equidistant @ X0 @ (extension @ X1 @ X0 @ X2 @ X3) @ X2 @ X3)),
% 258.93/37.88 inference('cnf', [status(esa)], [segment_construction2])).
% 258.93/37.88 thf(zip_derived_cl34, plain,
% 258.93/37.88 (![X0 : $i, X1 : $i]:
% 258.93/37.88 (equidistant @ X0 @ (reflection @ X1 @ X0) @ X1 @ X0)),
% 258.93/37.88 inference('sup+', [status(thm)], [zip_derived_cl18, zip_derived_cl4])).
% 258.93/37.88 thf(zip_derived_cl1, plain,
% 258.93/37.88 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 258.93/37.88 (~ (equidistant @ X0 @ X1 @ X2 @ X3)
% 258.93/37.88 | ~ (equidistant @ X0 @ X1 @ X4 @ X5)
% 258.93/37.88 | (equidistant @ X2 @ X3 @ X4 @ X5))),
% 258.93/37.88 inference('cnf', [status(esa)], [transitivity_for_equidistance])).
% 258.93/37.88 thf(zip_derived_cl75, plain,
% 258.93/37.88 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 258.93/37.88 ( (equidistant @ X1 @ X0 @ X3 @ X2)
% 258.93/37.88 | ~ (equidistant @ X0 @ (reflection @ X1 @ X0) @ X3 @ X2))),
% 258.93/37.88 inference('sup-', [status(thm)], [zip_derived_cl34, zip_derived_cl1])).
% 258.93/37.88 thf(zip_derived_cl120, plain,
% 258.93/37.88 (![X0 : $i, X1 : $i]:
% 258.93/37.88 (equidistant @ X1 @ X0 @ X0 @ (reflection @ X1 @ X0))),
% 258.93/37.88 inference('sup-', [status(thm)], [zip_derived_cl25, zip_derived_cl75])).
% 258.93/37.88 thf(zip_derived_cl0, plain,
% 258.93/37.88 (![X0 : $i, X1 : $i]: (equidistant @ X0 @ X1 @ X1 @ X0)),
% 258.93/37.88 inference('cnf', [status(esa)], [reflexivity_for_equidistance])).
% 258.93/37.88 thf(zip_derived_cl0, plain,
% 258.93/37.88 (![X0 : $i, X1 : $i]: (equidistant @ X0 @ X1 @ X1 @ X0)),
% 258.93/37.88 inference('cnf', [status(esa)], [reflexivity_for_equidistance])).
% 258.93/37.88 thf(zip_derived_cl75, plain,
% 258.93/37.88 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 258.93/37.88 ( (equidistant @ X1 @ X0 @ X3 @ X2)
% 258.93/37.88 | ~ (equidistant @ X0 @ (reflection @ X1 @ X0) @ X3 @ X2))),
% 258.93/37.88 inference('sup-', [status(thm)], [zip_derived_cl34, zip_derived_cl1])).
% 258.93/37.88 thf(zip_derived_cl119, plain,
% 258.93/37.88 (![X0 : $i, X1 : $i]:
% 258.93/37.88 (equidistant @ X1 @ X0 @ (reflection @ X1 @ X0) @ X0)),
% 258.93/37.88 inference('sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl75])).
% 258.93/37.88 thf(zip_derived_cl1, plain,
% 258.93/37.88 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 258.93/37.88 (~ (equidistant @ X0 @ X1 @ X2 @ X3)
% 258.93/37.88 | ~ (equidistant @ X0 @ X1 @ X4 @ X5)
% 258.93/37.88 | (equidistant @ X2 @ X3 @ X4 @ X5))),
% 258.93/37.88 inference('cnf', [status(esa)], [transitivity_for_equidistance])).
% 258.93/37.88 thf(zip_derived_cl123, plain,
% 258.93/37.88 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 258.93/37.88 ( (equidistant @ (reflection @ X1 @ X0) @ X0 @ X3 @ X2)
% 258.93/37.89 | ~ (equidistant @ X1 @ X0 @ X3 @ X2))),
% 258.93/37.89 inference('sup-', [status(thm)], [zip_derived_cl119, zip_derived_cl1])).
% 258.93/37.89 thf(zip_derived_cl188, plain,
% 258.93/37.89 (![X0 : $i, X1 : $i]:
% 258.93/37.89 (equidistant @ (reflection @ X0 @ X1) @ X1 @ X1 @ X0)),
% 258.93/37.89 inference('sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl123])).
% 258.93/37.89 thf(zip_derived_cl1, plain,
% 258.93/37.89 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 258.93/37.89 (~ (equidistant @ X0 @ X1 @ X2 @ X3)
% 258.93/37.89 | ~ (equidistant @ X0 @ X1 @ X4 @ X5)
% 258.93/37.89 | (equidistant @ X2 @ X3 @ X4 @ X5))),
% 258.93/37.89 inference('cnf', [status(esa)], [transitivity_for_equidistance])).
% 258.93/37.89 thf(zip_derived_cl201, plain,
% 258.93/37.89 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 258.93/37.89 ( (equidistant @ X1 @ X0 @ X3 @ X2)
% 258.93/37.89 | ~ (equidistant @ (reflection @ X0 @ X1) @ X1 @ X3 @ X2))),
% 258.93/37.89 inference('sup-', [status(thm)], [zip_derived_cl188, zip_derived_cl1])).
% 258.93/37.89 thf(zip_derived_cl239, plain,
% 258.93/37.89 (![X0 : $i, X1 : $i]:
% 258.93/37.89 (equidistant @ X0 @ X1 @ X0 @
% 258.93/37.89 (reflection @ (reflection @ X1 @ X0) @ X0))),
% 258.93/37.89 inference('sup-', [status(thm)], [zip_derived_cl120, zip_derived_cl201])).
% 258.93/37.89 thf(zip_derived_cl25, plain,
% 258.93/37.89 (![X0 : $i, X1 : $i]: (equidistant @ X1 @ X0 @ X1 @ X0)),
% 258.93/37.89 inference('sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl22])).
% 258.93/37.89 thf(zip_derived_cl25, plain,
% 258.93/37.89 (![X0 : $i, X1 : $i]: (equidistant @ X1 @ X0 @ X1 @ X0)),
% 258.93/37.89 inference('sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl22])).
% 258.93/37.89 thf(outer_five_segment, axiom,
% 258.93/37.89 (( ~( equidistant @ X @ Y @ X1 @ Y1 ) ) |
% 258.93/37.89 ( ~( equidistant @ Y @ Z @ Y1 @ Z1 ) ) |
% 258.93/37.89 ( ~( equidistant @ X @ V @ X1 @ V1 ) ) |
% 258.93/37.89 ( ~( equidistant @ Y @ V @ Y1 @ V1 ) ) | ( ~( between @ X @ Y @ Z ) ) |
% 258.93/37.89 ( ~( between @ X1 @ Y1 @ Z1 ) ) | ( ( X ) = ( Y ) ) |
% 258.93/37.89 ( equidistant @ Z @ V @ Z1 @ V1 ))).
% 258.93/37.89 thf(zip_derived_cl5, plain,
% 258.93/37.89 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 258.93/37.89 (~ (equidistant @ X0 @ X1 @ X2 @ X3)
% 258.93/37.89 | ~ (equidistant @ X1 @ X4 @ X3 @ X5)
% 258.93/37.89 | ~ (equidistant @ X0 @ X6 @ X2 @ X7)
% 258.93/37.89 | ~ (equidistant @ X1 @ X6 @ X3 @ X7)
% 258.93/37.89 | ~ (between @ X0 @ X1 @ X4)
% 258.93/37.89 | ~ (between @ X2 @ X3 @ X5)
% 258.93/37.89 | ((X0) = (X1))
% 258.93/37.89 | (equidistant @ X4 @ X6 @ X5 @ X7))),
% 258.93/37.89 inference('cnf', [status(esa)], [outer_five_segment])).
% 258.93/37.89 thf(zip_derived_cl64, plain,
% 258.93/37.89 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 258.93/37.89 ( (equidistant @ X5 @ X4 @ X3 @ X2)
% 258.93/37.89 | ((X1) = (X0))
% 258.93/37.89 | ~ (between @ X1 @ X0 @ X3)
% 258.93/37.89 | ~ (between @ X1 @ X0 @ X5)
% 258.93/37.89 | ~ (equidistant @ X0 @ X4 @ X0 @ X2)
% 258.93/37.89 | ~ (equidistant @ X1 @ X4 @ X1 @ X2)
% 258.93/37.89 | ~ (equidistant @ X0 @ X5 @ X0 @ X3))),
% 258.93/37.89 inference('sup-', [status(thm)], [zip_derived_cl25, zip_derived_cl5])).
% 258.93/37.89 thf(zip_derived_cl1679, plain,
% 258.93/37.89 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 258.93/37.89 (~ (equidistant @ X1 @ X3 @ X1 @ X2)
% 258.93/37.89 | ~ (equidistant @ X4 @ X0 @ X4 @ X0)
% 258.93/37.89 | ~ (between @ X4 @ X1 @ X3)
% 258.93/37.89 | ~ (between @ X4 @ X1 @ X2)
% 258.93/37.89 | ((X4) = (X1))
% 258.93/37.89 | (equidistant @ X3 @ X0 @ X2 @ X0))),
% 258.93/37.89 inference('sup-', [status(thm)], [zip_derived_cl25, zip_derived_cl64])).
% 258.93/37.89 thf(zip_derived_cl25, plain,
% 258.93/37.89 (![X0 : $i, X1 : $i]: (equidistant @ X1 @ X0 @ X1 @ X0)),
% 258.93/37.89 inference('sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl22])).
% 258.93/37.89 thf(zip_derived_cl1700, plain,
% 258.93/37.89 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 258.93/37.89 (~ (equidistant @ X1 @ X3 @ X1 @ X2)
% 258.93/37.89 | ~ (between @ X4 @ X1 @ X3)
% 258.93/37.89 | ~ (between @ X4 @ X1 @ X2)
% 258.93/37.89 | ((X4) = (X1))
% 258.93/37.89 | (equidistant @ X3 @ X0 @ X2 @ X0))),
% 258.93/37.89 inference('demod', [status(thm)], [zip_derived_cl1679, zip_derived_cl25])).
% 258.93/37.89 thf(zip_derived_cl28987, plain,
% 258.93/37.89 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 258.93/37.89 ( (equidistant @ X1 @ X2 @
% 258.93/37.89 (reflection @ (reflection @ X1 @ X0) @ X0) @ X2)
% 258.93/37.89 | ((X3) = (X0))
% 258.93/37.89 | ~ (between @ X3 @ X0 @ (reflection @ (reflection @ X1 @ X0) @ X0))
% 258.93/37.89 | ~ (between @ X3 @ X0 @ X1))),
% 258.93/37.89 inference('sup-', [status(thm)], [zip_derived_cl239, zip_derived_cl1700])).
% 258.93/37.89 thf(zip_derived_cl140754, plain,
% 258.93/37.89 (![X0 : $i, X1 : $i, X2 : $i]:
% 258.93/37.89 (~ (between @ (reflection @ X1 @ X0) @ X0 @ X1)
% 258.93/37.89 | ((reflection @ X1 @ X0) = (X0))
% 258.93/37.89 | (equidistant @ X1 @ X2 @
% 258.93/37.89 (reflection @ (reflection @ X1 @ X0) @ X0) @ X2))),
% 258.93/37.89 inference('sup-', [status(thm)], [zip_derived_cl21, zip_derived_cl28987])).
% 258.93/37.89 thf(zip_derived_cl4, plain,
% 258.93/37.89 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 258.93/37.89 (equidistant @ X0 @ (extension @ X1 @ X0 @ X2 @ X3) @ X2 @ X3)),
% 258.93/37.89 inference('cnf', [status(esa)], [segment_construction2])).
% 258.93/37.89 thf(identity_for_equidistance, axiom,
% 258.93/37.89 (( ~( equidistant @ X @ Y @ Z @ Z ) ) | ( ( X ) = ( Y ) ))).
% 258.93/37.89 thf(zip_derived_cl2, plain,
% 258.93/37.89 (![X0 : $i, X1 : $i, X2 : $i]:
% 258.93/37.89 (~ (equidistant @ X0 @ X1 @ X2 @ X2) | ((X0) = (X1)))),
% 258.93/37.89 inference('cnf', [status(esa)], [identity_for_equidistance])).
% 258.93/37.89 thf(zip_derived_cl32, plain,
% 258.93/37.89 (![X0 : $i, X1 : $i, X2 : $i]: ((X1) = (extension @ X2 @ X1 @ X0 @ X0))),
% 258.93/37.89 inference('sup-', [status(thm)], [zip_derived_cl4, zip_derived_cl2])).
% 258.93/37.89 thf(zip_derived_cl3, plain,
% 258.93/37.89 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 258.93/37.89 (between @ X0 @ X1 @ (extension @ X0 @ X1 @ X2 @ X3))),
% 258.93/37.89 inference('cnf', [status(esa)], [segment_construction1])).
% 258.93/37.89 thf(zip_derived_cl35, plain,
% 258.93/37.89 (![X0 : $i, X2 : $i]: (between @ X2 @ X0 @ X0)),
% 258.93/37.89 inference('sup+', [status(thm)], [zip_derived_cl32, zip_derived_cl3])).
% 258.93/37.89 thf(zip_derived_cl21, plain,
% 258.93/37.89 (![X0 : $i, X1 : $i]: (between @ X1 @ X0 @ (reflection @ X1 @ X0))),
% 258.93/37.89 inference('sup+', [status(thm)], [zip_derived_cl18, zip_derived_cl3])).
% 258.93/37.89 thf(inner_pasch1, axiom,
% 258.93/37.89 (( ~( between @ U @ V @ W ) ) | ( ~( between @ Y @ X @ W ) ) |
% 258.93/37.89 ( between @ V @ ( inner_pasch @ U @ V @ W @ X @ Y ) @ Y ))).
% 258.93/37.89 thf(zip_derived_cl7, plain,
% 258.93/37.89 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 258.93/37.89 (~ (between @ X0 @ X1 @ X2)
% 258.93/37.89 | ~ (between @ X3 @ X4 @ X2)
% 258.93/37.89 | (between @ X1 @ (inner_pasch @ X0 @ X1 @ X2 @ X4 @ X3) @ X3))),
% 258.93/37.89 inference('cnf', [status(esa)], [inner_pasch1])).
% 258.93/37.89 thf(zip_derived_cl40, plain,
% 258.93/37.89 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 258.93/37.89 ( (between @ X0 @
% 258.93/37.89 (inner_pasch @ X1 @ X0 @ (reflection @ X1 @ X0) @ X3 @ X2) @ X2)
% 258.93/37.89 | ~ (between @ X2 @ X3 @ (reflection @ X1 @ X0)))),
% 258.93/37.89 inference('sup-', [status(thm)], [zip_derived_cl21, zip_derived_cl7])).
% 258.93/37.89 thf(zip_derived_cl218, plain,
% 258.93/37.89 (![X0 : $i, X1 : $i, X2 : $i]:
% 258.93/37.89 (between @ X0 @
% 258.93/37.89 (inner_pasch @ X1 @ X0 @ (reflection @ X1 @ X0) @
% 258.93/37.89 (reflection @ X1 @ X0) @ X2) @
% 258.93/37.89 X2)),
% 258.93/37.89 inference('sup-', [status(thm)], [zip_derived_cl35, zip_derived_cl40])).
% 258.93/37.89 thf(identity_for_betweeness, axiom,
% 258.93/37.89 (( ~( between @ X @ Y @ X ) ) | ( ( X ) = ( Y ) ))).
% 258.93/37.89 thf(zip_derived_cl6, plain,
% 258.93/37.89 (![X0 : $i, X1 : $i]: (~ (between @ X0 @ X1 @ X0) | ((X0) = (X1)))),
% 258.93/37.89 inference('cnf', [status(esa)], [identity_for_betweeness])).
% 258.93/37.89 thf(zip_derived_cl6198, plain,
% 258.93/37.89 (![X0 : $i, X1 : $i]:
% 258.93/37.89 ((X0)
% 258.93/37.89 = (inner_pasch @ X1 @ X0 @ (reflection @ X1 @ X0) @
% 258.93/37.89 (reflection @ X1 @ X0) @ X0))),
% 258.93/37.89 inference('sup-', [status(thm)], [zip_derived_cl218, zip_derived_cl6])).
% 258.93/37.89 thf(zip_derived_cl35, plain,
% 258.93/37.89 (![X0 : $i, X2 : $i]: (between @ X2 @ X0 @ X0)),
% 258.93/37.89 inference('sup+', [status(thm)], [zip_derived_cl32, zip_derived_cl3])).
% 258.93/37.89 thf(zip_derived_cl21, plain,
% 258.93/37.89 (![X0 : $i, X1 : $i]: (between @ X1 @ X0 @ (reflection @ X1 @ X0))),
% 258.93/37.89 inference('sup+', [status(thm)], [zip_derived_cl18, zip_derived_cl3])).
% 258.93/37.89 thf(inner_pasch2, axiom,
% 258.93/37.89 (( ~( between @ U @ V @ W ) ) | ( ~( between @ Y @ X @ W ) ) |
% 258.93/37.89 ( between @ X @ ( inner_pasch @ U @ V @ W @ X @ Y ) @ U ))).
% 258.93/37.89 thf(zip_derived_cl8, plain,
% 258.93/37.89 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 258.93/37.89 (~ (between @ X0 @ X1 @ X2)
% 258.93/37.89 | ~ (between @ X3 @ X4 @ X2)
% 258.93/37.89 | (between @ X4 @ (inner_pasch @ X0 @ X1 @ X2 @ X4 @ X3) @ X0))),
% 258.93/37.89 inference('cnf', [status(esa)], [inner_pasch2])).
% 258.93/37.89 thf(zip_derived_cl42, plain,
% 258.93/37.89 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 258.93/37.89 ( (between @ X3 @
% 258.93/37.89 (inner_pasch @ X1 @ X0 @ (reflection @ X1 @ X0) @ X3 @ X2) @ X1)
% 258.93/37.89 | ~ (between @ X2 @ X3 @ (reflection @ X1 @ X0)))),
% 258.93/37.89 inference('sup-', [status(thm)], [zip_derived_cl21, zip_derived_cl8])).
% 258.93/37.89 thf(zip_derived_cl379, plain,
% 258.93/37.89 (![X0 : $i, X1 : $i, X2 : $i]:
% 258.93/37.89 (between @ (reflection @ X1 @ X0) @
% 258.93/37.89 (inner_pasch @ X1 @ X0 @ (reflection @ X1 @ X0) @
% 258.93/37.89 (reflection @ X1 @ X0) @ X2) @
% 258.93/37.89 X1)),
% 258.93/37.89 inference('sup-', [status(thm)], [zip_derived_cl35, zip_derived_cl42])).
% 258.93/37.89 thf(zip_derived_cl10990, plain,
% 258.93/37.89 (![X0 : $i, X1 : $i]: (between @ (reflection @ X1 @ X0) @ X0 @ X1)),
% 258.93/37.89 inference('sup+', [status(thm)], [zip_derived_cl6198, zip_derived_cl379])).
% 258.93/37.89 thf(zip_derived_cl140758, plain,
% 258.93/37.89 (![X0 : $i, X1 : $i, X2 : $i]:
% 258.93/37.89 (((reflection @ X1 @ X0) = (X0))
% 258.93/37.89 | (equidistant @ X1 @ X2 @
% 258.93/37.89 (reflection @ (reflection @ X1 @ X0) @ X0) @ X2))),
% 258.93/37.89 inference('demod', [status(thm)],
% 258.93/37.89 [zip_derived_cl140754, zip_derived_cl10990])).
% 258.93/37.89 thf(zip_derived_cl2, plain,
% 258.93/37.89 (![X0 : $i, X1 : $i, X2 : $i]:
% 258.93/37.89 (~ (equidistant @ X0 @ X1 @ X2 @ X2) | ((X0) = (X1)))),
% 258.93/37.89 inference('cnf', [status(esa)], [identity_for_equidistance])).
% 258.93/37.89 thf(zip_derived_cl140762, plain,
% 258.93/37.89 (![X0 : $i, X1 : $i]:
% 258.93/37.89 (((reflection @ X1 @ X0) = (X0))
% 258.93/37.89 | ((X1) = (reflection @ (reflection @ X1 @ X0) @ X0)))),
% 258.93/37.89 inference('sup-', [status(thm)], [zip_derived_cl140758, zip_derived_cl2])).
% 258.93/37.89 thf(prove__involution, conjecture,
% 258.93/37.89 (( u ) = ( reflection @ ( reflection @ u @ v ) @ v ))).
% 258.93/37.89 thf(zf_stmt_0, negated_conjecture,
% 258.93/37.89 (( u ) != ( reflection @ ( reflection @ u @ v ) @ v )),
% 258.93/37.89 inference('cnf.neg', [status(esa)], [prove__involution])).
% 258.93/37.89 thf(zip_derived_cl19, plain,
% 258.93/37.89 (((u) != (reflection @ (reflection @ u @ v) @ v))),
% 258.93/37.89 inference('cnf', [status(esa)], [zf_stmt_0])).
% 258.93/37.89 thf(zip_derived_cl142932, plain,
% 258.93/37.89 ((((u) != (u)) | ((reflection @ u @ v) = (v)))),
% 258.93/37.89 inference('sup-', [status(thm)], [zip_derived_cl140762, zip_derived_cl19])).
% 258.93/37.89 thf(zip_derived_cl143215, plain, (((reflection @ u @ v) = (v))),
% 258.93/37.89 inference('simplify', [status(thm)], [zip_derived_cl142932])).
% 258.93/37.89 thf(zip_derived_cl119, plain,
% 258.93/37.89 (![X0 : $i, X1 : $i]:
% 258.93/37.89 (equidistant @ X1 @ X0 @ (reflection @ X1 @ X0) @ X0)),
% 258.93/37.89 inference('sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl75])).
% 258.93/37.89 thf(zip_derived_cl143660, plain, ( (equidistant @ u @ v @ v @ v)),
% 258.93/37.89 inference('sup+', [status(thm)],
% 258.93/37.89 [zip_derived_cl143215, zip_derived_cl119])).
% 258.93/37.89 thf(zip_derived_cl2, plain,
% 258.93/37.89 (![X0 : $i, X1 : $i, X2 : $i]:
% 258.93/37.89 (~ (equidistant @ X0 @ X1 @ X2 @ X2) | ((X0) = (X1)))),
% 258.93/37.89 inference('cnf', [status(esa)], [identity_for_equidistance])).
% 258.93/37.89 thf(zip_derived_cl146121, plain, (((u) = (v))),
% 258.93/37.89 inference('sup-', [status(thm)], [zip_derived_cl143660, zip_derived_cl2])).
% 258.93/37.89 thf(zip_derived_cl19, plain,
% 258.93/37.89 (((u) != (reflection @ (reflection @ u @ v) @ v))),
% 258.93/37.89 inference('cnf', [status(esa)], [zf_stmt_0])).
% 258.93/37.89 thf(zip_derived_cl143215, plain, (((reflection @ u @ v) = (v))),
% 258.93/37.89 inference('simplify', [status(thm)], [zip_derived_cl142932])).
% 258.93/37.89 thf(zip_derived_cl32, plain,
% 258.93/37.89 (![X0 : $i, X1 : $i, X2 : $i]: ((X1) = (extension @ X2 @ X1 @ X0 @ X0))),
% 258.93/37.89 inference('sup-', [status(thm)], [zip_derived_cl4, zip_derived_cl2])).
% 258.93/37.89 thf(zip_derived_cl18, plain,
% 258.93/37.89 (![X0 : $i, X1 : $i]:
% 258.93/37.89 ((reflection @ X0 @ X1) = (extension @ X0 @ X1 @ X0 @ X1))),
% 258.93/37.89 inference('cnf', [status(esa)], [reflection])).
% 258.93/37.89 thf(zip_derived_cl37, plain, (![X0 : $i]: ((reflection @ X0 @ X0) = (X0))),
% 258.93/37.89 inference('sup+', [status(thm)], [zip_derived_cl32, zip_derived_cl18])).
% 258.93/37.89 thf(zip_derived_cl143216, plain, (((u) != (v))),
% 258.93/37.89 inference('demod', [status(thm)],
% 258.93/37.89 [zip_derived_cl19, zip_derived_cl143215, zip_derived_cl37])).
% 258.93/37.89 thf(zip_derived_cl146216, plain, ($false),
% 258.93/37.89 inference('simplify_reflect-', [status(thm)],
% 258.93/37.89 [zip_derived_cl146121, zip_derived_cl143216])).
% 258.93/37.89
% 258.93/37.89 % SZS output end Refutation
% 258.93/37.89
% 258.93/37.89
% 258.93/37.89 % Terminating...
% 259.35/37.95 % Runner terminated.
% 259.35/37.96 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------