TSTP Solution File: GEO010-2 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GEO010-2 : 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.UkRy1Jw33z true
% Computer : n032.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 23:55:53 EDT 2023
% Result : Unsatisfiable 1.30s 0.61s
% Output : Refutation 1.30s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.09 % Problem : GEO010-2 : TPTP v8.1.2. Released v1.0.0.
% 0.06/0.10 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.UkRy1Jw33z true
% 0.09/0.29 % Computer : n032.cluster.edu
% 0.09/0.29 % Model : x86_64 x86_64
% 0.09/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.29 % Memory : 8042.1875MB
% 0.09/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.29 % CPULimit : 300
% 0.09/0.29 % WCLimit : 300
% 0.09/0.29 % DateTime : Tue Aug 29 21:12:32 EDT 2023
% 0.09/0.29 % CPUTime :
% 0.09/0.29 % Running portfolio for 300 s
% 0.09/0.29 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.29 % Number of cores: 8
% 0.09/0.29 % Python version: Python 3.6.8
% 0.09/0.29 % Running in FO mode
% 0.13/0.44 % Total configuration time : 435
% 0.13/0.44 % Estimated wc time : 1092
% 0.13/0.44 % Estimated cpu time (7 cpus) : 156.0
% 0.13/0.50 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.13/0.51 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.13/0.51 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.13/0.51 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.13/0.51 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.13/0.52 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.13/0.53 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 1.30/0.61 % Solved by fo/fo1_av.sh.
% 1.30/0.61 % done 131 iterations in 0.084s
% 1.30/0.61 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.30/0.61 % SZS output start Refutation
% 1.30/0.61 thf(between_type, type, between: $i > $i > $i > $o).
% 1.30/0.61 thf(colinear_type, type, colinear: $i > $i > $i > $o).
% 1.30/0.61 thf(a_type, type, a: $i).
% 1.30/0.61 thf(equidistant_type, type, equidistant: $i > $i > $i > $i > $o).
% 1.30/0.61 thf(inner_pasch_type, type, inner_pasch: $i > $i > $i > $i > $i > $i).
% 1.30/0.61 thf(c_type, type, c: $i).
% 1.30/0.61 thf(b_type, type, b: $i).
% 1.30/0.61 thf(extension_type, type, extension: $i > $i > $i > $i > $i).
% 1.30/0.61 thf(abc_colinear, axiom, (colinear @ a @ b @ c)).
% 1.30/0.61 thf(zip_derived_cl22, plain, ( (colinear @ a @ b @ c)),
% 1.30/0.61 inference('cnf', [status(esa)], [abc_colinear])).
% 1.30/0.61 thf(colinearity4, axiom,
% 1.30/0.61 (( ~( colinear @ X @ Y @ Z ) ) | ( between @ X @ Y @ Z ) |
% 1.30/0.61 ( between @ Y @ Z @ X ) | ( between @ Z @ X @ Y ))).
% 1.30/0.61 thf(zip_derived_cl21, plain,
% 1.30/0.61 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.30/0.61 (~ (colinear @ X0 @ X1 @ X2)
% 1.30/0.61 | (between @ X0 @ X1 @ X2)
% 1.30/0.61 | (between @ X1 @ X2 @ X0)
% 1.30/0.61 | (between @ X2 @ X0 @ X1))),
% 1.30/0.61 inference('cnf', [status(esa)], [colinearity4])).
% 1.30/0.61 thf(zip_derived_cl95, plain,
% 1.30/0.61 (( (between @ a @ b @ c)
% 1.30/0.61 | (between @ b @ c @ a)
% 1.30/0.61 | (between @ c @ a @ b))),
% 1.30/0.61 inference('s_sup-', [status(thm)], [zip_derived_cl22, zip_derived_cl21])).
% 1.30/0.61 thf(zip_derived_cl98, plain,
% 1.30/0.61 (( (between @ b @ c @ a)) <= (( (between @ b @ c @ a)))),
% 1.30/0.61 inference('split', [status(esa)], [zip_derived_cl95])).
% 1.30/0.61 thf(segment_construction2, axiom,
% 1.30/0.61 (equidistant @ Y @ ( extension @ X @ Y @ W @ V ) @ W @ V)).
% 1.30/0.61 thf(zip_derived_cl4, plain,
% 1.30/0.61 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.30/0.61 (equidistant @ X0 @ (extension @ X1 @ X0 @ X2 @ X3) @ X2 @ X3)),
% 1.30/0.61 inference('cnf', [status(esa)], [segment_construction2])).
% 1.30/0.61 thf(identity_for_equidistance, axiom,
% 1.30/0.61 (( ~( equidistant @ X @ Y @ Z @ Z ) ) | ( ( X ) = ( Y ) ))).
% 1.30/0.61 thf(zip_derived_cl2, plain,
% 1.30/0.61 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.30/0.61 (~ (equidistant @ X0 @ X1 @ X2 @ X2) | ((X0) = (X1)))),
% 1.30/0.61 inference('cnf', [status(esa)], [identity_for_equidistance])).
% 1.30/0.61 thf(zip_derived_cl65, plain,
% 1.30/0.61 (![X0 : $i, X1 : $i, X2 : $i]: ((X1) = (extension @ X2 @ X1 @ X0 @ X0))),
% 1.30/0.61 inference('s_sup-', [status(thm)], [zip_derived_cl4, zip_derived_cl2])).
% 1.30/0.61 thf(segment_construction1, axiom,
% 1.30/0.61 (between @ X @ Y @ ( extension @ X @ Y @ W @ V ))).
% 1.30/0.61 thf(zip_derived_cl3, plain,
% 1.30/0.61 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.30/0.61 (between @ X0 @ X1 @ (extension @ X0 @ X1 @ X2 @ X3))),
% 1.30/0.61 inference('cnf', [status(esa)], [segment_construction1])).
% 1.30/0.61 thf(zip_derived_cl66, plain,
% 1.30/0.61 (![X0 : $i, X2 : $i]: (between @ X2 @ X0 @ X0)),
% 1.30/0.61 inference('s_sup+', [status(thm)], [zip_derived_cl65, zip_derived_cl3])).
% 1.30/0.61 thf(inner_pasch1, axiom,
% 1.30/0.61 (( ~( between @ U @ V @ W ) ) | ( ~( between @ Y @ X @ W ) ) |
% 1.30/0.61 ( between @ V @ ( inner_pasch @ U @ V @ W @ X @ Y ) @ Y ))).
% 1.30/0.61 thf(zip_derived_cl7, plain,
% 1.30/0.61 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 1.30/0.61 (~ (between @ X0 @ X1 @ X2)
% 1.30/0.61 | ~ (between @ X3 @ X4 @ X2)
% 1.30/0.61 | (between @ X1 @ (inner_pasch @ X0 @ X1 @ X2 @ X4 @ X3) @ X3))),
% 1.30/0.61 inference('cnf', [status(esa)], [inner_pasch1])).
% 1.30/0.61 thf(identity_for_betweeness, axiom,
% 1.30/0.61 (( ~( between @ X @ Y @ X ) ) | ( ( X ) = ( Y ) ))).
% 1.30/0.61 thf(zip_derived_cl6, plain,
% 1.30/0.61 (![X0 : $i, X1 : $i]: (~ (between @ X0 @ X1 @ X0) | ((X0) = (X1)))),
% 1.30/0.61 inference('cnf', [status(esa)], [identity_for_betweeness])).
% 1.30/0.61 thf(zip_derived_cl103, plain,
% 1.30/0.61 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.30/0.61 (~ (between @ X0 @ X1 @ X2)
% 1.30/0.61 | ~ (between @ X3 @ X0 @ X2)
% 1.30/0.61 | ((X0) = (inner_pasch @ X3 @ X0 @ X2 @ X1 @ X0)))),
% 1.30/0.61 inference('s_sup-', [status(thm)], [zip_derived_cl7, zip_derived_cl6])).
% 1.30/0.61 thf(inner_pasch2, axiom,
% 1.30/0.61 (( ~( between @ U @ V @ W ) ) | ( ~( between @ Y @ X @ W ) ) |
% 1.30/0.61 ( between @ X @ ( inner_pasch @ U @ V @ W @ X @ Y ) @ U ))).
% 1.30/0.61 thf(zip_derived_cl8, plain,
% 1.30/0.61 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 1.30/0.61 (~ (between @ X0 @ X1 @ X2)
% 1.30/0.61 | ~ (between @ X3 @ X4 @ X2)
% 1.30/0.61 | (between @ X4 @ (inner_pasch @ X0 @ X1 @ X2 @ X4 @ X3) @ X0))),
% 1.30/0.61 inference('cnf', [status(esa)], [inner_pasch2])).
% 1.30/0.61 thf(zip_derived_cl211, plain,
% 1.30/0.61 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.30/0.61 (~ (between @ X1 @ X0 @ X3)
% 1.30/0.61 | ~ (between @ X0 @ X2 @ X3)
% 1.30/0.61 | ~ (between @ X1 @ X0 @ X3)
% 1.30/0.61 | ~ (between @ X0 @ X2 @ X3)
% 1.30/0.61 | (between @ X2 @ X0 @ X1))),
% 1.30/0.61 inference('s_sup+', [status(thm)], [zip_derived_cl103, zip_derived_cl8])).
% 1.30/0.61 thf(zip_derived_cl213, plain,
% 1.30/0.61 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.30/0.61 ( (between @ X2 @ X0 @ X1)
% 1.30/0.61 | ~ (between @ X0 @ X2 @ X3)
% 1.30/0.61 | ~ (between @ X1 @ X0 @ X3))),
% 1.30/0.61 inference('simplify', [status(thm)], [zip_derived_cl211])).
% 1.30/0.61 thf(zip_derived_cl216, plain,
% 1.30/0.61 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.30/0.61 ( (between @ X0 @ X1 @ X2) | ~ (between @ X2 @ X1 @ X0))),
% 1.30/0.61 inference('s_sup-', [status(thm)], [zip_derived_cl66, zip_derived_cl213])).
% 1.30/0.61 thf(zip_derived_cl236, plain,
% 1.30/0.61 (( (between @ a @ c @ b)) <= (( (between @ b @ c @ a)))),
% 1.30/0.61 inference('s_sup-', [status(thm)], [zip_derived_cl98, zip_derived_cl216])).
% 1.30/0.61 thf(colinearity2, axiom,
% 1.30/0.61 (( ~( between @ Y @ Z @ X ) ) | ( colinear @ X @ Y @ Z ))).
% 1.30/0.61 thf(zip_derived_cl19, plain,
% 1.30/0.61 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.30/0.61 (~ (between @ X0 @ X1 @ X2) | (colinear @ X2 @ X0 @ X1))),
% 1.30/0.61 inference('cnf', [status(esa)], [colinearity2])).
% 1.30/0.61 thf(prove_colinear_in_all_orders, conjecture,
% 1.30/0.61 (~( ( ~( colinear @ c @ b @ a ) ) | ( ~( colinear @ c @ a @ b ) ) |
% 1.30/0.61 ( ~( colinear @ b @ c @ a ) ) | ( ~( colinear @ b @ a @ c ) ) |
% 1.30/0.61 ( ~( colinear @ a @ c @ b ) ) ))).
% 1.30/0.61 thf(zf_stmt_0, negated_conjecture,
% 1.30/0.61 (( ~( colinear @ c @ b @ a ) ) | ( ~( colinear @ c @ a @ b ) ) |
% 1.30/0.61 ( ~( colinear @ b @ c @ a ) ) | ( ~( colinear @ b @ a @ c ) ) |
% 1.30/0.61 ( ~( colinear @ a @ c @ b ) )),
% 1.30/0.61 inference('cnf.neg', [status(esa)], [prove_colinear_in_all_orders])).
% 1.30/0.61 thf(zip_derived_cl23, plain,
% 1.30/0.61 ((~ (colinear @ c @ b @ a)
% 1.30/0.61 | ~ (colinear @ c @ a @ b)
% 1.30/0.61 | ~ (colinear @ b @ c @ a)
% 1.30/0.61 | ~ (colinear @ b @ a @ c)
% 1.30/0.61 | ~ (colinear @ a @ c @ b))),
% 1.30/0.61 inference('cnf', [status(esa)], [zf_stmt_0])).
% 1.30/0.61 thf(zip_derived_cl25, plain,
% 1.30/0.61 ((~ (colinear @ b @ a @ c)) <= (~ ( (colinear @ b @ a @ c)))),
% 1.30/0.61 inference('split', [status(esa)], [zip_derived_cl23])).
% 1.30/0.61 thf(zip_derived_cl45, plain,
% 1.30/0.61 ((~ (between @ a @ c @ b)) <= (~ ( (colinear @ b @ a @ c)))),
% 1.30/0.61 inference('s_sup-', [status(thm)], [zip_derived_cl19, zip_derived_cl25])).
% 1.30/0.61 thf('0', plain, (~ ( (between @ b @ c @ a)) | ( (colinear @ b @ a @ c))),
% 1.30/0.61 inference('s_sup-', [status(thm)], [zip_derived_cl236, zip_derived_cl45])).
% 1.30/0.61 thf(zip_derived_cl97, plain,
% 1.30/0.61 (( (between @ c @ a @ b)) <= (( (between @ c @ a @ b)))),
% 1.30/0.61 inference('split', [status(esa)], [zip_derived_cl95])).
% 1.30/0.61 thf(zip_derived_cl216, plain,
% 1.30/0.61 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.30/0.61 ( (between @ X0 @ X1 @ X2) | ~ (between @ X2 @ X1 @ X0))),
% 1.30/0.61 inference('s_sup-', [status(thm)], [zip_derived_cl66, zip_derived_cl213])).
% 1.30/0.61 thf(zip_derived_cl237, plain,
% 1.30/0.61 (( (between @ b @ a @ c)) <= (( (between @ c @ a @ b)))),
% 1.30/0.61 inference('s_sup-', [status(thm)], [zip_derived_cl97, zip_derived_cl216])).
% 1.30/0.61 thf(colinearity3, axiom,
% 1.30/0.61 (( ~( between @ Z @ X @ Y ) ) | ( colinear @ X @ Y @ Z ))).
% 1.30/0.61 thf(zip_derived_cl20, plain,
% 1.30/0.61 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.30/0.61 (~ (between @ X0 @ X1 @ X2) | (colinear @ X1 @ X2 @ X0))),
% 1.30/0.61 inference('cnf', [status(esa)], [colinearity3])).
% 1.30/0.61 thf(zip_derived_cl24, plain,
% 1.30/0.61 ((~ (colinear @ a @ c @ b)) <= (~ ( (colinear @ a @ c @ b)))),
% 1.30/0.61 inference('split', [status(esa)], [zip_derived_cl23])).
% 1.30/0.61 thf(zip_derived_cl54, plain,
% 1.30/0.61 ((~ (between @ b @ a @ c)) <= (~ ( (colinear @ a @ c @ b)))),
% 1.30/0.61 inference('s_sup-', [status(thm)], [zip_derived_cl20, zip_derived_cl24])).
% 1.30/0.61 thf('1', plain, (( (colinear @ a @ c @ b)) | ~ ( (between @ c @ a @ b))),
% 1.30/0.61 inference('s_sup-', [status(thm)], [zip_derived_cl237, zip_derived_cl54])).
% 1.30/0.61 thf(zip_derived_cl237, plain,
% 1.30/0.61 (( (between @ b @ a @ c)) <= (( (between @ c @ a @ b)))),
% 1.30/0.61 inference('s_sup-', [status(thm)], [zip_derived_cl97, zip_derived_cl216])).
% 1.30/0.61 thf(zip_derived_cl19, plain,
% 1.30/0.61 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.30/0.61 (~ (between @ X0 @ X1 @ X2) | (colinear @ X2 @ X0 @ X1))),
% 1.30/0.61 inference('cnf', [status(esa)], [colinearity2])).
% 1.30/0.61 thf(zip_derived_cl28, plain,
% 1.30/0.61 ((~ (colinear @ c @ b @ a)) <= (~ ( (colinear @ c @ b @ a)))),
% 1.30/0.61 inference('split', [status(esa)], [zip_derived_cl23])).
% 1.30/0.61 thf(zip_derived_cl48, plain,
% 1.30/0.61 ((~ (between @ b @ a @ c)) <= (~ ( (colinear @ c @ b @ a)))),
% 1.30/0.61 inference('s_sup-', [status(thm)], [zip_derived_cl19, zip_derived_cl28])).
% 1.30/0.61 thf('2', plain, (( (colinear @ c @ b @ a)) | ~ ( (between @ c @ a @ b))),
% 1.30/0.61 inference('s_sup-', [status(thm)], [zip_derived_cl237, zip_derived_cl48])).
% 1.30/0.61 thf(zip_derived_cl97, plain,
% 1.30/0.61 (( (between @ c @ a @ b)) <= (( (between @ c @ a @ b)))),
% 1.30/0.61 inference('split', [status(esa)], [zip_derived_cl95])).
% 1.30/0.61 thf(zip_derived_cl19, plain,
% 1.30/0.61 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.30/0.61 (~ (between @ X0 @ X1 @ X2) | (colinear @ X2 @ X0 @ X1))),
% 1.30/0.61 inference('cnf', [status(esa)], [colinearity2])).
% 1.30/0.61 thf(zip_derived_cl26, plain,
% 1.30/0.61 ((~ (colinear @ b @ c @ a)) <= (~ ( (colinear @ b @ c @ a)))),
% 1.30/0.61 inference('split', [status(esa)], [zip_derived_cl23])).
% 1.30/0.61 thf(zip_derived_cl46, plain,
% 1.30/0.61 ((~ (between @ c @ a @ b)) <= (~ ( (colinear @ b @ c @ a)))),
% 1.30/0.61 inference('s_sup-', [status(thm)], [zip_derived_cl19, zip_derived_cl26])).
% 1.30/0.61 thf('3', plain, (( (colinear @ b @ c @ a)) | ~ ( (between @ c @ a @ b))),
% 1.30/0.61 inference('s_sup-', [status(thm)], [zip_derived_cl97, zip_derived_cl46])).
% 1.30/0.61 thf(zip_derived_cl98, plain,
% 1.30/0.61 (( (between @ b @ c @ a)) <= (( (between @ b @ c @ a)))),
% 1.30/0.61 inference('split', [status(esa)], [zip_derived_cl95])).
% 1.30/0.61 thf(colinearity1, axiom,
% 1.30/0.61 (( ~( between @ X @ Y @ Z ) ) | ( colinear @ X @ Y @ Z ))).
% 1.30/0.61 thf(zip_derived_cl18, plain,
% 1.30/0.61 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.30/0.61 (~ (between @ X0 @ X1 @ X2) | (colinear @ X0 @ X1 @ X2))),
% 1.30/0.61 inference('cnf', [status(esa)], [colinearity1])).
% 1.30/0.61 thf(zip_derived_cl26, plain,
% 1.30/0.61 ((~ (colinear @ b @ c @ a)) <= (~ ( (colinear @ b @ c @ a)))),
% 1.30/0.61 inference('split', [status(esa)], [zip_derived_cl23])).
% 1.30/0.61 thf(zip_derived_cl33, plain,
% 1.30/0.61 ((~ (between @ b @ c @ a)) <= (~ ( (colinear @ b @ c @ a)))),
% 1.30/0.61 inference('s_sup-', [status(thm)], [zip_derived_cl18, zip_derived_cl26])).
% 1.30/0.61 thf('4', plain, (( (colinear @ b @ c @ a)) | ~ ( (between @ b @ c @ a))),
% 1.30/0.61 inference('s_sup-', [status(thm)], [zip_derived_cl98, zip_derived_cl33])).
% 1.30/0.61 thf(zip_derived_cl96, plain,
% 1.30/0.61 (( (between @ a @ b @ c)) <= (( (between @ a @ b @ c)))),
% 1.30/0.61 inference('split', [status(esa)], [zip_derived_cl95])).
% 1.30/0.61 thf(zip_derived_cl216, plain,
% 1.30/0.61 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.30/0.61 ( (between @ X0 @ X1 @ X2) | ~ (between @ X2 @ X1 @ X0))),
% 1.30/0.61 inference('s_sup-', [status(thm)], [zip_derived_cl66, zip_derived_cl213])).
% 1.30/0.61 thf(zip_derived_cl235, plain,
% 1.30/0.61 (( (between @ c @ b @ a)) <= (( (between @ a @ b @ c)))),
% 1.30/0.61 inference('s_sup-', [status(thm)], [zip_derived_cl96, zip_derived_cl216])).
% 1.30/0.61 thf(zip_derived_cl19, plain,
% 1.30/0.61 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.30/0.61 (~ (between @ X0 @ X1 @ X2) | (colinear @ X2 @ X0 @ X1))),
% 1.30/0.61 inference('cnf', [status(esa)], [colinearity2])).
% 1.30/0.61 thf(zip_derived_cl24, plain,
% 1.30/0.61 ((~ (colinear @ a @ c @ b)) <= (~ ( (colinear @ a @ c @ b)))),
% 1.30/0.61 inference('split', [status(esa)], [zip_derived_cl23])).
% 1.30/0.61 thf(zip_derived_cl44, plain,
% 1.30/0.61 ((~ (between @ c @ b @ a)) <= (~ ( (colinear @ a @ c @ b)))),
% 1.30/0.61 inference('s_sup-', [status(thm)], [zip_derived_cl19, zip_derived_cl24])).
% 1.30/0.61 thf('5', plain, (~ ( (between @ a @ b @ c)) | ( (colinear @ a @ c @ b))),
% 1.30/0.61 inference('s_sup-', [status(thm)], [zip_derived_cl235, zip_derived_cl44])).
% 1.30/0.61 thf(zip_derived_cl235, plain,
% 1.30/0.61 (( (between @ c @ b @ a)) <= (( (between @ a @ b @ c)))),
% 1.30/0.61 inference('s_sup-', [status(thm)], [zip_derived_cl96, zip_derived_cl216])).
% 1.30/0.61 thf(zip_derived_cl18, plain,
% 1.30/0.61 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.30/0.61 (~ (between @ X0 @ X1 @ X2) | (colinear @ X0 @ X1 @ X2))),
% 1.30/0.61 inference('cnf', [status(esa)], [colinearity1])).
% 1.30/0.61 thf(zip_derived_cl28, plain,
% 1.30/0.61 ((~ (colinear @ c @ b @ a)) <= (~ ( (colinear @ c @ b @ a)))),
% 1.30/0.61 inference('split', [status(esa)], [zip_derived_cl23])).
% 1.30/0.61 thf(zip_derived_cl35, plain,
% 1.30/0.61 ((~ (between @ c @ b @ a)) <= (~ ( (colinear @ c @ b @ a)))),
% 1.30/0.61 inference('s_sup-', [status(thm)], [zip_derived_cl18, zip_derived_cl28])).
% 1.30/0.61 thf('6', plain, (~ ( (between @ a @ b @ c)) | ( (colinear @ c @ b @ a))),
% 1.30/0.61 inference('s_sup-', [status(thm)], [zip_derived_cl235, zip_derived_cl35])).
% 1.30/0.61 thf(zip_derived_cl96, plain,
% 1.30/0.61 (( (between @ a @ b @ c)) <= (( (between @ a @ b @ c)))),
% 1.30/0.61 inference('split', [status(esa)], [zip_derived_cl95])).
% 1.30/0.61 thf(zip_derived_cl20, plain,
% 1.30/0.61 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.30/0.61 (~ (between @ X0 @ X1 @ X2) | (colinear @ X1 @ X2 @ X0))),
% 1.30/0.61 inference('cnf', [status(esa)], [colinearity3])).
% 1.30/0.61 thf(zip_derived_cl26, plain,
% 1.30/0.61 ((~ (colinear @ b @ c @ a)) <= (~ ( (colinear @ b @ c @ a)))),
% 1.30/0.61 inference('split', [status(esa)], [zip_derived_cl23])).
% 1.30/0.61 thf(zip_derived_cl56, plain,
% 1.30/0.61 ((~ (between @ a @ b @ c)) <= (~ ( (colinear @ b @ c @ a)))),
% 1.30/0.61 inference('s_sup-', [status(thm)], [zip_derived_cl20, zip_derived_cl26])).
% 1.30/0.61 thf('7', plain, (( (colinear @ b @ c @ a)) | ~ ( (between @ a @ b @ c))),
% 1.30/0.61 inference('s_sup-', [status(thm)], [zip_derived_cl96, zip_derived_cl56])).
% 1.30/0.61 thf(zip_derived_cl96, plain,
% 1.30/0.61 (( (between @ a @ b @ c)) <= (( (between @ a @ b @ c)))),
% 1.30/0.61 inference('split', [status(esa)], [zip_derived_cl95])).
% 1.30/0.61 thf(zip_derived_cl19, plain,
% 1.30/0.61 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.30/0.61 (~ (between @ X0 @ X1 @ X2) | (colinear @ X2 @ X0 @ X1))),
% 1.30/0.61 inference('cnf', [status(esa)], [colinearity2])).
% 1.30/0.61 thf(zip_derived_cl27, plain,
% 1.30/0.61 ((~ (colinear @ c @ a @ b)) <= (~ ( (colinear @ c @ a @ b)))),
% 1.30/0.61 inference('split', [status(esa)], [zip_derived_cl23])).
% 1.30/0.61 thf(zip_derived_cl47, plain,
% 1.30/0.61 ((~ (between @ a @ b @ c)) <= (~ ( (colinear @ c @ a @ b)))),
% 1.30/0.61 inference('s_sup-', [status(thm)], [zip_derived_cl19, zip_derived_cl27])).
% 1.30/0.61 thf('8', plain, (( (colinear @ c @ a @ b)) | ~ ( (between @ a @ b @ c))),
% 1.30/0.61 inference('s_sup-', [status(thm)], [zip_derived_cl96, zip_derived_cl47])).
% 1.30/0.61 thf(zip_derived_cl235, plain,
% 1.30/0.61 (( (between @ c @ b @ a)) <= (( (between @ a @ b @ c)))),
% 1.30/0.61 inference('s_sup-', [status(thm)], [zip_derived_cl96, zip_derived_cl216])).
% 1.30/0.61 thf(zip_derived_cl20, plain,
% 1.30/0.61 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.30/0.61 (~ (between @ X0 @ X1 @ X2) | (colinear @ X1 @ X2 @ X0))),
% 1.30/0.61 inference('cnf', [status(esa)], [colinearity3])).
% 1.30/0.61 thf(zip_derived_cl25, plain,
% 1.30/0.61 ((~ (colinear @ b @ a @ c)) <= (~ ( (colinear @ b @ a @ c)))),
% 1.30/0.61 inference('split', [status(esa)], [zip_derived_cl23])).
% 1.30/0.61 thf(zip_derived_cl55, plain,
% 1.30/0.61 ((~ (between @ c @ b @ a)) <= (~ ( (colinear @ b @ a @ c)))),
% 1.30/0.61 inference('s_sup-', [status(thm)], [zip_derived_cl20, zip_derived_cl25])).
% 1.30/0.61 thf('9', plain, (~ ( (between @ a @ b @ c)) | ( (colinear @ b @ a @ c))),
% 1.30/0.61 inference('s_sup-', [status(thm)], [zip_derived_cl235, zip_derived_cl55])).
% 1.30/0.61 thf(zip_derived_cl98, plain,
% 1.30/0.61 (( (between @ b @ c @ a)) <= (( (between @ b @ c @ a)))),
% 1.30/0.61 inference('split', [status(esa)], [zip_derived_cl95])).
% 1.30/0.61 thf(zip_derived_cl20, plain,
% 1.30/0.61 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.30/0.61 (~ (between @ X0 @ X1 @ X2) | (colinear @ X1 @ X2 @ X0))),
% 1.30/0.61 inference('cnf', [status(esa)], [colinearity3])).
% 1.30/0.61 thf(zip_derived_cl27, plain,
% 1.30/0.61 ((~ (colinear @ c @ a @ b)) <= (~ ( (colinear @ c @ a @ b)))),
% 1.30/0.61 inference('split', [status(esa)], [zip_derived_cl23])).
% 1.30/0.61 thf(zip_derived_cl57, plain,
% 1.30/0.61 ((~ (between @ b @ c @ a)) <= (~ ( (colinear @ c @ a @ b)))),
% 1.30/0.61 inference('s_sup-', [status(thm)], [zip_derived_cl20, zip_derived_cl27])).
% 1.30/0.61 thf('10', plain, (( (colinear @ c @ a @ b)) | ~ ( (between @ b @ c @ a))),
% 1.30/0.61 inference('s_sup-', [status(thm)], [zip_derived_cl98, zip_derived_cl57])).
% 1.30/0.61 thf(zip_derived_cl97, plain,
% 1.30/0.61 (( (between @ c @ a @ b)) <= (( (between @ c @ a @ b)))),
% 1.30/0.61 inference('split', [status(esa)], [zip_derived_cl95])).
% 1.30/0.61 thf(zip_derived_cl18, plain,
% 1.30/0.61 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.30/0.61 (~ (between @ X0 @ X1 @ X2) | (colinear @ X0 @ X1 @ X2))),
% 1.30/0.61 inference('cnf', [status(esa)], [colinearity1])).
% 1.30/0.61 thf(zip_derived_cl27, plain,
% 1.30/0.61 ((~ (colinear @ c @ a @ b)) <= (~ ( (colinear @ c @ a @ b)))),
% 1.30/0.61 inference('split', [status(esa)], [zip_derived_cl23])).
% 1.30/0.61 thf(zip_derived_cl34, plain,
% 1.30/0.61 ((~ (between @ c @ a @ b)) <= (~ ( (colinear @ c @ a @ b)))),
% 1.30/0.61 inference('s_sup-', [status(thm)], [zip_derived_cl18, zip_derived_cl27])).
% 1.30/0.61 thf('11', plain, (( (colinear @ c @ a @ b)) | ~ ( (between @ c @ a @ b))),
% 1.30/0.61 inference('s_sup-', [status(thm)], [zip_derived_cl97, zip_derived_cl34])).
% 1.30/0.61 thf(zip_derived_cl236, plain,
% 1.30/0.61 (( (between @ a @ c @ b)) <= (( (between @ b @ c @ a)))),
% 1.30/0.61 inference('s_sup-', [status(thm)], [zip_derived_cl98, zip_derived_cl216])).
% 1.30/0.61 thf(zip_derived_cl20, plain,
% 1.30/0.61 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.30/0.61 (~ (between @ X0 @ X1 @ X2) | (colinear @ X1 @ X2 @ X0))),
% 1.30/0.61 inference('cnf', [status(esa)], [colinearity3])).
% 1.30/0.61 thf(zip_derived_cl28, plain,
% 1.30/0.61 ((~ (colinear @ c @ b @ a)) <= (~ ( (colinear @ c @ b @ a)))),
% 1.30/0.61 inference('split', [status(esa)], [zip_derived_cl23])).
% 1.30/0.61 thf(zip_derived_cl58, plain,
% 1.30/0.61 ((~ (between @ a @ c @ b)) <= (~ ( (colinear @ c @ b @ a)))),
% 1.30/0.61 inference('s_sup-', [status(thm)], [zip_derived_cl20, zip_derived_cl28])).
% 1.30/0.61 thf('12', plain, (( (colinear @ c @ b @ a)) | ~ ( (between @ b @ c @ a))),
% 1.30/0.61 inference('s_sup-', [status(thm)], [zip_derived_cl236, zip_derived_cl58])).
% 1.30/0.61 thf(zip_derived_cl236, plain,
% 1.30/0.61 (( (between @ a @ c @ b)) <= (( (between @ b @ c @ a)))),
% 1.30/0.61 inference('s_sup-', [status(thm)], [zip_derived_cl98, zip_derived_cl216])).
% 1.30/0.61 thf(zip_derived_cl18, plain,
% 1.30/0.61 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.30/0.61 (~ (between @ X0 @ X1 @ X2) | (colinear @ X0 @ X1 @ X2))),
% 1.30/0.61 inference('cnf', [status(esa)], [colinearity1])).
% 1.30/0.61 thf(zip_derived_cl24, plain,
% 1.30/0.61 ((~ (colinear @ a @ c @ b)) <= (~ ( (colinear @ a @ c @ b)))),
% 1.30/0.61 inference('split', [status(esa)], [zip_derived_cl23])).
% 1.30/0.61 thf(zip_derived_cl31, plain,
% 1.30/0.61 ((~ (between @ a @ c @ b)) <= (~ ( (colinear @ a @ c @ b)))),
% 1.30/0.61 inference('s_sup-', [status(thm)], [zip_derived_cl18, zip_derived_cl24])).
% 1.30/0.61 thf('13', plain, (~ ( (between @ b @ c @ a)) | ( (colinear @ a @ c @ b))),
% 1.30/0.61 inference('s_sup-', [status(thm)], [zip_derived_cl236, zip_derived_cl31])).
% 1.30/0.61 thf('14', plain,
% 1.30/0.61 (~ ( (colinear @ a @ c @ b)) | ~ ( (colinear @ c @ b @ a)) |
% 1.30/0.61 ~ ( (colinear @ b @ a @ c)) | ~ ( (colinear @ c @ a @ b)) |
% 1.30/0.61 ~ ( (colinear @ b @ c @ a))),
% 1.30/0.61 inference('split', [status(esa)], [zip_derived_cl23])).
% 1.30/0.61 thf(zip_derived_cl237, plain,
% 1.30/0.61 (( (between @ b @ a @ c)) <= (( (between @ c @ a @ b)))),
% 1.30/0.61 inference('s_sup-', [status(thm)], [zip_derived_cl97, zip_derived_cl216])).
% 1.30/0.61 thf(zip_derived_cl18, plain,
% 1.30/0.61 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.30/0.61 (~ (between @ X0 @ X1 @ X2) | (colinear @ X0 @ X1 @ X2))),
% 1.30/0.61 inference('cnf', [status(esa)], [colinearity1])).
% 1.30/0.61 thf(zip_derived_cl25, plain,
% 1.30/0.61 ((~ (colinear @ b @ a @ c)) <= (~ ( (colinear @ b @ a @ c)))),
% 1.30/0.61 inference('split', [status(esa)], [zip_derived_cl23])).
% 1.30/0.61 thf(zip_derived_cl32, plain,
% 1.30/0.61 ((~ (between @ b @ a @ c)) <= (~ ( (colinear @ b @ a @ c)))),
% 1.30/0.61 inference('s_sup-', [status(thm)], [zip_derived_cl18, zip_derived_cl25])).
% 1.30/0.61 thf('15', plain, (~ ( (between @ c @ a @ b)) | ( (colinear @ b @ a @ c))),
% 1.30/0.61 inference('s_sup-', [status(thm)], [zip_derived_cl237, zip_derived_cl32])).
% 1.30/0.61 thf('16', plain,
% 1.30/0.61 (( (between @ c @ a @ b)) | ( (between @ b @ c @ a)) |
% 1.30/0.61 ( (between @ a @ b @ c))),
% 1.30/0.61 inference('split', [status(esa)], [zip_derived_cl95])).
% 1.30/0.61 thf(zip_derived_cl284, plain, ($false),
% 1.30/0.61 inference('sat_resolution*', [status(thm)],
% 1.30/0.61 ['0', '1', '2', '3', '4', '5', '6', '7', '8', '9', '10', '11',
% 1.30/0.61 '12', '13', '14', '15', '16'])).
% 1.30/0.61
% 1.30/0.61 % SZS output end Refutation
% 1.30/0.61
% 1.30/0.61
% 1.30/0.61 % Terminating...
% 1.30/0.65 % Runner terminated.
% 1.30/0.66 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------