TSTP Solution File: GEO012-3 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GEO012-3 : 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.8UFLqIaVPV true
% Computer : n010.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 23:55:55 EDT 2023
% Result : Unsatisfiable 69.10s 10.52s
% Output : Refutation 69.10s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : GEO012-3 : TPTP v8.1.2. Bugfixed v1.2.1.
% 0.13/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.8UFLqIaVPV true
% 0.13/0.35 % Computer : n010.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Tue Aug 29 23:25:18 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % Running portfolio for 300 s
% 0.13/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.35 % Number of cores: 8
% 0.13/0.36 % Python version: Python 3.6.8
% 0.21/0.36 % 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
% 0.53/0.71 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.57/0.76 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.57/0.77 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.57/0.77 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.57/0.77 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.57/0.77 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.57/0.77 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.58/0.86 % /export/starexec/sandbox/solver/bin/fo/fo1_lcnf.sh running for 50s
% 69.10/10.52 % Solved by fo/fo6_bce.sh.
% 69.10/10.52 % BCE start: 105
% 69.10/10.52 % BCE eliminated: 0
% 69.10/10.52 % PE start: 105
% 69.10/10.52 logic: eq
% 69.10/10.52 % PE eliminated: 0
% 69.10/10.52 % done 5038 iterations in 9.776s
% 69.10/10.52 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 69.10/10.52 % SZS output start Refutation
% 69.10/10.52 thf(between_type, type, between: $i > $i > $i > $o).
% 69.10/10.52 thf(a_type, type, a: $i).
% 69.10/10.52 thf(colinear_type, type, colinear: $i > $i > $i > $o).
% 69.10/10.52 thf(c_type, type, c: $i).
% 69.10/10.52 thf(d_type, type, d: $i).
% 69.10/10.52 thf(b_type, type, b: $i).
% 69.10/10.52 thf(colinearity1, axiom,
% 69.10/10.52 (( ~( between @ X @ Y @ Z ) ) | ( colinear @ X @ Y @ Z ))).
% 69.10/10.52 thf(zip_derived_cl18, plain,
% 69.10/10.52 (![X0 : $i, X1 : $i, X2 : $i]:
% 69.10/10.52 (~ (between @ X0 @ X1 @ X2) | (colinear @ X0 @ X1 @ X2))),
% 69.10/10.52 inference('cnf', [status(esa)], [colinearity1])).
% 69.10/10.52 thf(zip_derived_cl18, plain,
% 69.10/10.52 (![X0 : $i, X1 : $i, X2 : $i]:
% 69.10/10.52 (~ (between @ X0 @ X1 @ X2) | (colinear @ X0 @ X1 @ X2))),
% 69.10/10.52 inference('cnf', [status(esa)], [colinearity1])).
% 69.10/10.52 thf(colinearity3, axiom,
% 69.10/10.52 (( ~( between @ Z @ X @ Y ) ) | ( colinear @ X @ Y @ Z ))).
% 69.10/10.52 thf(zip_derived_cl20, plain,
% 69.10/10.52 (![X0 : $i, X1 : $i, X2 : $i]:
% 69.10/10.52 (~ (between @ X0 @ X1 @ X2) | (colinear @ X1 @ X2 @ X0))),
% 69.10/10.52 inference('cnf', [status(esa)], [colinearity3])).
% 69.10/10.52 thf(abc_colinear, axiom, (colinear @ a @ b @ c)).
% 69.10/10.52 thf(zip_derived_cl102, plain, ( (colinear @ a @ b @ c)),
% 69.10/10.52 inference('cnf', [status(esa)], [abc_colinear])).
% 69.10/10.52 thf(colinearity4, axiom,
% 69.10/10.52 (( ~( colinear @ X @ Y @ Z ) ) | ( between @ X @ Y @ Z ) |
% 69.10/10.52 ( between @ Y @ Z @ X ) | ( between @ Z @ X @ Y ))).
% 69.10/10.52 thf(zip_derived_cl21, plain,
% 69.10/10.52 (![X0 : $i, X1 : $i, X2 : $i]:
% 69.10/10.52 (~ (colinear @ X0 @ X1 @ X2)
% 69.10/10.52 | (between @ X0 @ X1 @ X2)
% 69.10/10.52 | (between @ X1 @ X2 @ X0)
% 69.10/10.52 | (between @ X2 @ X0 @ X1))),
% 69.10/10.52 inference('cnf', [status(esa)], [colinearity4])).
% 69.10/10.52 thf(zip_derived_cl682, plain,
% 69.10/10.52 (( (between @ a @ b @ c)
% 69.10/10.52 | (between @ b @ c @ a)
% 69.10/10.52 | (between @ c @ a @ b))),
% 69.10/10.52 inference('s_sup-', [status(thm)], [zip_derived_cl102, zip_derived_cl21])).
% 69.10/10.52 thf(b6, axiom,
% 69.10/10.52 (( ~( between @ U @ V @ W ) ) | ( ~( between @ V @ W @ X ) ) |
% 69.10/10.52 ( between @ U @ W @ X ) | ( ( V ) = ( W ) ))).
% 69.10/10.52 thf(zip_derived_cl58, plain,
% 69.10/10.52 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 69.10/10.52 (~ (between @ X0 @ X1 @ X2)
% 69.10/10.52 | ~ (between @ X1 @ X2 @ X3)
% 69.10/10.52 | (between @ X0 @ X2 @ X3)
% 69.10/10.52 | ((X1) = (X2)))),
% 69.10/10.52 inference('cnf', [status(esa)], [b6])).
% 69.10/10.52 thf(zip_derived_cl986, plain,
% 69.10/10.52 (![X0 : $i]:
% 69.10/10.52 ( (between @ b @ c @ a)
% 69.10/10.52 | (between @ a @ b @ c)
% 69.10/10.52 | ~ (between @ a @ b @ X0)
% 69.10/10.52 | (between @ c @ b @ X0)
% 69.10/10.52 | ((a) = (b)))),
% 69.10/10.52 inference('s_sup-', [status(thm)], [zip_derived_cl682, zip_derived_cl58])).
% 69.10/10.52 thf(a_not_b, axiom, (( a ) != ( b ))).
% 69.10/10.52 thf(zip_derived_cl101, plain, (((a) != (b))),
% 69.10/10.52 inference('cnf', [status(esa)], [a_not_b])).
% 69.10/10.52 thf(zip_derived_cl993, plain,
% 69.10/10.52 (![X0 : $i]:
% 69.10/10.52 ( (between @ b @ c @ a)
% 69.10/10.52 | (between @ a @ b @ c)
% 69.10/10.52 | ~ (between @ a @ b @ X0)
% 69.10/10.52 | (between @ c @ b @ X0))),
% 69.10/10.52 inference('simplify_reflect-', [status(thm)],
% 69.10/10.52 [zip_derived_cl986, zip_derived_cl101])).
% 69.10/10.52 thf(c2_3, axiom, (( ~( between @ V @ U @ W ) ) | ( colinear @ U @ V @ W ))).
% 69.10/10.52 thf(zip_derived_cl89, plain,
% 69.10/10.52 (![X0 : $i, X1 : $i, X2 : $i]:
% 69.10/10.52 (~ (between @ X0 @ X1 @ X2) | (colinear @ X1 @ X0 @ X2))),
% 69.10/10.52 inference('cnf', [status(esa)], [c2_3])).
% 69.10/10.52 thf(prove_colinearity, conjecture,
% 69.10/10.52 (~( ( ~( colinear @ b @ c @ d ) ) | ( ~( colinear @ a @ c @ d ) ) ))).
% 69.10/10.52 thf(zf_stmt_0, negated_conjecture,
% 69.10/10.52 (( ~( colinear @ b @ c @ d ) ) | ( ~( colinear @ a @ c @ d ) )),
% 69.10/10.52 inference('cnf.neg', [status(esa)], [prove_colinearity])).
% 69.10/10.52 thf(zip_derived_cl104, plain,
% 69.10/10.52 ((~ (colinear @ b @ c @ d) | ~ (colinear @ a @ c @ d))),
% 69.10/10.52 inference('cnf', [status(esa)], [zf_stmt_0])).
% 69.10/10.52 thf(zip_derived_cl1047, plain,
% 69.10/10.52 ((~ (between @ c @ b @ d) | ~ (colinear @ a @ c @ d))),
% 69.10/10.52 inference('s_sup-', [status(thm)], [zip_derived_cl89, zip_derived_cl104])).
% 69.10/10.52 thf(zip_derived_cl1288, plain,
% 69.10/10.52 ((~ (between @ a @ b @ d)
% 69.10/10.52 | (between @ a @ b @ c)
% 69.10/10.52 | (between @ b @ c @ a)
% 69.10/10.52 | ~ (colinear @ a @ c @ d))),
% 69.10/10.52 inference('s_sup-', [status(thm)],
% 69.10/10.52 [zip_derived_cl993, zip_derived_cl1047])).
% 69.10/10.52 thf(zip_derived_cl18, plain,
% 69.10/10.52 (![X0 : $i, X1 : $i, X2 : $i]:
% 69.10/10.52 (~ (between @ X0 @ X1 @ X2) | (colinear @ X0 @ X1 @ X2))),
% 69.10/10.52 inference('cnf', [status(esa)], [colinearity1])).
% 69.10/10.52 thf(abd_colinear, axiom, (colinear @ a @ b @ d)).
% 69.10/10.52 thf(zip_derived_cl103, plain, ( (colinear @ a @ b @ d)),
% 69.10/10.52 inference('cnf', [status(esa)], [abd_colinear])).
% 69.10/10.52 thf(t10_2, axiom, (( ~( colinear @ U @ V @ W ) ) | ( colinear @ V @ W @ U ))).
% 69.10/10.52 thf(zip_derived_cl91, plain,
% 69.10/10.52 (![X0 : $i, X1 : $i, X2 : $i]:
% 69.10/10.52 (~ (colinear @ X0 @ X1 @ X2) | (colinear @ X1 @ X2 @ X0))),
% 69.10/10.52 inference('cnf', [status(esa)], [t10_2])).
% 69.10/10.52 thf(zip_derived_cl610, plain, ( (colinear @ b @ d @ a)),
% 69.10/10.52 inference('s_sup-', [status(thm)], [zip_derived_cl103, zip_derived_cl91])).
% 69.10/10.52 thf(t10_1, axiom, (( ~( colinear @ U @ V @ W ) ) | ( colinear @ W @ V @ U ))).
% 69.10/10.52 thf(zip_derived_cl90, plain,
% 69.10/10.52 (![X0 : $i, X1 : $i, X2 : $i]:
% 69.10/10.52 (~ (colinear @ X0 @ X1 @ X2) | (colinear @ X2 @ X1 @ X0))),
% 69.10/10.52 inference('cnf', [status(esa)], [t10_1])).
% 69.10/10.52 thf(zip_derived_cl630, plain, ( (colinear @ a @ d @ b)),
% 69.10/10.52 inference('s_sup-', [status(thm)], [zip_derived_cl610, zip_derived_cl90])).
% 69.10/10.52 thf(zip_derived_cl21, plain,
% 69.10/10.52 (![X0 : $i, X1 : $i, X2 : $i]:
% 69.10/10.52 (~ (colinear @ X0 @ X1 @ X2)
% 69.10/10.52 | (between @ X0 @ X1 @ X2)
% 69.10/10.52 | (between @ X1 @ X2 @ X0)
% 69.10/10.52 | (between @ X2 @ X0 @ X1))),
% 69.10/10.52 inference('cnf', [status(esa)], [colinearity4])).
% 69.10/10.52 thf(zip_derived_cl685, plain,
% 69.10/10.52 (( (between @ a @ d @ b)
% 69.10/10.52 | (between @ d @ b @ a)
% 69.10/10.52 | (between @ b @ a @ d))),
% 69.10/10.52 inference('s_sup-', [status(thm)], [zip_derived_cl630, zip_derived_cl21])).
% 69.10/10.52 thf(t1, axiom, (( ~( between @ U @ V @ W ) ) | ( between @ W @ V @ U ))).
% 69.10/10.52 thf(zip_derived_cl50, plain,
% 69.10/10.52 (![X0 : $i, X1 : $i, X2 : $i]:
% 69.10/10.52 (~ (between @ X0 @ X1 @ X2) | (between @ X2 @ X1 @ X0))),
% 69.10/10.52 inference('cnf', [status(esa)], [t1])).
% 69.10/10.52 thf(zip_derived_cl917, plain,
% 69.10/10.52 (( (between @ b @ a @ d)
% 69.10/10.52 | (between @ a @ d @ b)
% 69.10/10.52 | (between @ a @ b @ d))),
% 69.10/10.52 inference('s_sup-', [status(thm)], [zip_derived_cl685, zip_derived_cl50])).
% 69.10/10.52 thf(zip_derived_cl102, plain, ( (colinear @ a @ b @ c)),
% 69.10/10.52 inference('cnf', [status(esa)], [abc_colinear])).
% 69.10/10.52 thf(zip_derived_cl91, plain,
% 69.10/10.52 (![X0 : $i, X1 : $i, X2 : $i]:
% 69.10/10.52 (~ (colinear @ X0 @ X1 @ X2) | (colinear @ X1 @ X2 @ X0))),
% 69.10/10.52 inference('cnf', [status(esa)], [t10_2])).
% 69.10/10.52 thf(zip_derived_cl609, plain, ( (colinear @ b @ c @ a)),
% 69.10/10.52 inference('s_sup-', [status(thm)], [zip_derived_cl102, zip_derived_cl91])).
% 69.10/10.52 thf(zip_derived_cl90, plain,
% 69.10/10.52 (![X0 : $i, X1 : $i, X2 : $i]:
% 69.10/10.52 (~ (colinear @ X0 @ X1 @ X2) | (colinear @ X2 @ X1 @ X0))),
% 69.10/10.52 inference('cnf', [status(esa)], [t10_1])).
% 69.10/10.52 thf(zip_derived_cl628, plain, ( (colinear @ a @ c @ b)),
% 69.10/10.52 inference('s_sup-', [status(thm)], [zip_derived_cl609, zip_derived_cl90])).
% 69.10/10.52 thf(zip_derived_cl21, plain,
% 69.10/10.52 (![X0 : $i, X1 : $i, X2 : $i]:
% 69.10/10.52 (~ (colinear @ X0 @ X1 @ X2)
% 69.10/10.52 | (between @ X0 @ X1 @ X2)
% 69.10/10.52 | (between @ X1 @ X2 @ X0)
% 69.10/10.52 | (between @ X2 @ X0 @ X1))),
% 69.10/10.52 inference('cnf', [status(esa)], [colinearity4])).
% 69.10/10.52 thf(zip_derived_cl684, plain,
% 69.10/10.52 (( (between @ a @ c @ b)
% 69.10/10.52 | (between @ c @ b @ a)
% 69.10/10.52 | (between @ b @ a @ c))),
% 69.10/10.52 inference('s_sup-', [status(thm)], [zip_derived_cl628, zip_derived_cl21])).
% 69.10/10.52 thf(zip_derived_cl58, plain,
% 69.10/10.52 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 69.10/10.52 (~ (between @ X0 @ X1 @ X2)
% 69.10/10.52 | ~ (between @ X1 @ X2 @ X3)
% 69.10/10.52 | (between @ X0 @ X2 @ X3)
% 69.10/10.52 | ((X1) = (X2)))),
% 69.10/10.52 inference('cnf', [status(esa)], [b6])).
% 69.10/10.52 thf(zip_derived_cl987, plain,
% 69.10/10.52 (![X0 : $i]:
% 69.10/10.52 ( (between @ b @ a @ c)
% 69.10/10.52 | (between @ a @ c @ b)
% 69.10/10.52 | ~ (between @ b @ a @ X0)
% 69.10/10.52 | (between @ c @ a @ X0)
% 69.10/10.52 | ((b) = (a)))),
% 69.10/10.52 inference('s_sup-', [status(thm)], [zip_derived_cl684, zip_derived_cl58])).
% 69.10/10.52 thf(zip_derived_cl101, plain, (((a) != (b))),
% 69.10/10.52 inference('cnf', [status(esa)], [a_not_b])).
% 69.10/10.52 thf(zip_derived_cl994, plain,
% 69.10/10.52 (![X0 : $i]:
% 69.10/10.52 ( (between @ b @ a @ c)
% 69.10/10.52 | (between @ a @ c @ b)
% 69.10/10.52 | ~ (between @ b @ a @ X0)
% 69.10/10.52 | (between @ c @ a @ X0))),
% 69.10/10.52 inference('simplify_reflect-', [status(thm)],
% 69.10/10.52 [zip_derived_cl987, zip_derived_cl101])).
% 69.10/10.52 thf(zip_derived_cl89, plain,
% 69.10/10.52 (![X0 : $i, X1 : $i, X2 : $i]:
% 69.10/10.52 (~ (between @ X0 @ X1 @ X2) | (colinear @ X1 @ X0 @ X2))),
% 69.10/10.52 inference('cnf', [status(esa)], [c2_3])).
% 69.10/10.52 thf(zip_derived_cl917, plain,
% 69.10/10.52 (( (between @ b @ a @ d)
% 69.10/10.52 | (between @ a @ d @ b)
% 69.10/10.52 | (between @ a @ b @ d))),
% 69.10/10.52 inference('s_sup-', [status(thm)], [zip_derived_cl685, zip_derived_cl50])).
% 69.10/10.52 thf(zip_derived_cl684, plain,
% 69.10/10.52 (( (between @ a @ c @ b)
% 69.10/10.52 | (between @ c @ b @ a)
% 69.10/10.52 | (between @ b @ a @ c))),
% 69.10/10.52 inference('s_sup-', [status(thm)], [zip_derived_cl628, zip_derived_cl21])).
% 69.10/10.52 thf(b7, axiom,
% 69.10/10.52 (( ~( between @ U @ V @ W ) ) | ( ~( between @ V @ W @ X ) ) |
% 69.10/10.52 ( between @ U @ V @ X ) | ( ( V ) = ( W ) ))).
% 69.10/10.52 thf(zip_derived_cl59, plain,
% 69.10/10.52 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 69.10/10.52 (~ (between @ X0 @ X1 @ X2)
% 69.10/10.52 | ~ (between @ X1 @ X2 @ X3)
% 69.10/10.52 | (between @ X0 @ X1 @ X3)
% 69.10/10.52 | ((X1) = (X2)))),
% 69.10/10.52 inference('cnf', [status(esa)], [b7])).
% 69.10/10.52 thf(zip_derived_cl1015, plain,
% 69.10/10.52 (![X0 : $i]:
% 69.10/10.52 ( (between @ b @ a @ c)
% 69.10/10.52 | (between @ a @ c @ b)
% 69.10/10.52 | ~ (between @ b @ a @ X0)
% 69.10/10.52 | (between @ c @ b @ X0)
% 69.10/10.52 | ((b) = (a)))),
% 69.10/10.52 inference('s_sup-', [status(thm)], [zip_derived_cl684, zip_derived_cl59])).
% 69.10/10.52 thf(zip_derived_cl101, plain, (((a) != (b))),
% 69.10/10.52 inference('cnf', [status(esa)], [a_not_b])).
% 69.10/10.52 thf(zip_derived_cl1022, plain,
% 69.10/10.52 (![X0 : $i]:
% 69.10/10.52 ( (between @ b @ a @ c)
% 69.10/10.52 | (between @ a @ c @ b)
% 69.10/10.52 | ~ (between @ b @ a @ X0)
% 69.10/10.52 | (between @ c @ b @ X0))),
% 69.10/10.52 inference('simplify_reflect-', [status(thm)],
% 69.10/10.52 [zip_derived_cl1015, zip_derived_cl101])).
% 69.10/10.52 thf(zip_derived_cl1047, plain,
% 69.10/10.52 ((~ (between @ c @ b @ d) | ~ (colinear @ a @ c @ d))),
% 69.10/10.52 inference('s_sup-', [status(thm)], [zip_derived_cl89, zip_derived_cl104])).
% 69.10/10.52 thf(zip_derived_cl1713, plain,
% 69.10/10.52 ((~ (between @ b @ a @ d)
% 69.10/10.52 | (between @ a @ c @ b)
% 69.10/10.52 | (between @ b @ a @ c)
% 69.10/10.52 | ~ (colinear @ a @ c @ d))),
% 69.10/10.52 inference('s_sup-', [status(thm)],
% 69.10/10.52 [zip_derived_cl1022, zip_derived_cl1047])).
% 69.10/10.52 thf(zip_derived_cl1715, plain,
% 69.10/10.52 (( (between @ a @ b @ d)
% 69.10/10.52 | (between @ a @ d @ b)
% 69.10/10.52 | (between @ a @ c @ b)
% 69.10/10.52 | (between @ b @ a @ c)
% 69.10/10.52 | ~ (colinear @ a @ c @ d))),
% 69.10/10.52 inference('s_sup-', [status(thm)],
% 69.10/10.52 [zip_derived_cl917, zip_derived_cl1713])).
% 69.10/10.52 thf(zip_derived_cl1722, plain,
% 69.10/10.52 ((~ (between @ c @ a @ d)
% 69.10/10.52 | (between @ a @ b @ d)
% 69.10/10.52 | (between @ a @ d @ b)
% 69.10/10.52 | (between @ a @ c @ b)
% 69.10/10.52 | (between @ b @ a @ c))),
% 69.10/10.52 inference('s_sup-', [status(thm)], [zip_derived_cl89, zip_derived_cl1715])).
% 69.10/10.52 thf(zip_derived_cl1727, plain,
% 69.10/10.52 ((~ (between @ b @ a @ d)
% 69.10/10.52 | (between @ a @ c @ b)
% 69.10/10.52 | (between @ b @ a @ c)
% 69.10/10.52 | (between @ a @ b @ d)
% 69.10/10.52 | (between @ a @ d @ b)
% 69.10/10.52 | (between @ a @ c @ b)
% 69.10/10.52 | (between @ b @ a @ c))),
% 69.10/10.52 inference('s_sup-', [status(thm)],
% 69.10/10.52 [zip_derived_cl994, zip_derived_cl1722])).
% 69.10/10.52 thf(zip_derived_cl1729, plain,
% 69.10/10.52 (( (between @ a @ d @ b)
% 69.10/10.52 | (between @ a @ b @ d)
% 69.10/10.52 | (between @ b @ a @ c)
% 69.10/10.52 | (between @ a @ c @ b)
% 69.10/10.52 | ~ (between @ b @ a @ d))),
% 69.10/10.52 inference('simplify', [status(thm)], [zip_derived_cl1727])).
% 69.10/10.52 thf(zip_derived_cl917, plain,
% 69.10/10.52 (( (between @ b @ a @ d)
% 69.10/10.52 | (between @ a @ d @ b)
% 69.10/10.52 | (between @ a @ b @ d))),
% 69.10/10.52 inference('s_sup-', [status(thm)], [zip_derived_cl685, zip_derived_cl50])).
% 69.10/10.52 thf(zip_derived_cl1735, plain,
% 69.10/10.52 (( (between @ a @ c @ b)
% 69.10/10.52 | (between @ b @ a @ c)
% 69.10/10.52 | (between @ a @ b @ d)
% 69.10/10.52 | (between @ a @ d @ b))),
% 69.10/10.52 inference('clc', [status(thm)], [zip_derived_cl1729, zip_derived_cl917])).
% 69.10/10.52 thf(b12, axiom,
% 69.10/10.52 (( ~( between @ U @ V @ W ) ) | ( ~( between @ U @ V @ X ) ) |
% 69.10/10.52 ( ( U ) = ( V ) ) | ( between @ U @ W @ X ) | ( between @ U @ X @ W ))).
% 69.10/10.52 thf(zip_derived_cl80, plain,
% 69.10/10.52 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 69.10/10.52 (~ (between @ X0 @ X1 @ X2)
% 69.10/10.52 | ~ (between @ X0 @ X1 @ X3)
% 69.10/10.52 | ((X0) = (X1))
% 69.10/10.52 | (between @ X0 @ X2 @ X3)
% 69.10/10.52 | (between @ X0 @ X3 @ X2))),
% 69.10/10.52 inference('cnf', [status(esa)], [b12])).
% 69.10/10.52 thf(zip_derived_cl1745, plain,
% 69.10/10.52 (![X0 : $i]:
% 69.10/10.52 ( (between @ a @ d @ b)
% 69.10/10.52 | (between @ a @ b @ d)
% 69.10/10.52 | (between @ a @ c @ b)
% 69.10/10.52 | ~ (between @ b @ a @ X0)
% 69.10/10.52 | ((b) = (a))
% 69.10/10.52 | (between @ b @ c @ X0)
% 69.10/10.52 | (between @ b @ X0 @ c))),
% 69.10/10.52 inference('s_sup-', [status(thm)], [zip_derived_cl1735, zip_derived_cl80])).
% 69.10/10.52 thf(zip_derived_cl101, plain, (((a) != (b))),
% 69.10/10.52 inference('cnf', [status(esa)], [a_not_b])).
% 69.10/10.52 thf(zip_derived_cl1752, plain,
% 69.10/10.52 (![X0 : $i]:
% 69.10/10.52 ( (between @ a @ d @ b)
% 69.10/10.52 | (between @ a @ b @ d)
% 69.10/10.52 | (between @ a @ c @ b)
% 69.10/10.52 | ~ (between @ b @ a @ X0)
% 69.10/10.52 | (between @ b @ c @ X0)
% 69.10/10.52 | (between @ b @ X0 @ c))),
% 69.10/10.52 inference('simplify_reflect-', [status(thm)],
% 69.10/10.52 [zip_derived_cl1745, zip_derived_cl101])).
% 69.10/10.52 thf(zip_derived_cl1974, plain,
% 69.10/10.52 (( (between @ a @ b @ d)
% 69.10/10.52 | (between @ a @ d @ b)
% 69.10/10.52 | (between @ a @ d @ b)
% 69.10/10.52 | (between @ a @ b @ d)
% 69.10/10.52 | (between @ a @ c @ b)
% 69.10/10.52 | (between @ b @ c @ d)
% 69.10/10.52 | (between @ b @ d @ c))),
% 69.10/10.52 inference('s_sup-', [status(thm)],
% 69.10/10.52 [zip_derived_cl917, zip_derived_cl1752])).
% 69.10/10.52 thf(zip_derived_cl1981, plain,
% 69.10/10.52 (( (between @ b @ d @ c)
% 69.10/10.52 | (between @ b @ c @ d)
% 69.10/10.52 | (between @ a @ c @ b)
% 69.10/10.52 | (between @ a @ d @ b)
% 69.10/10.52 | (between @ a @ b @ d))),
% 69.10/10.52 inference('simplify', [status(thm)], [zip_derived_cl1974])).
% 69.10/10.52 thf(c2_2, axiom, (( ~( between @ U @ W @ V ) ) | ( colinear @ U @ V @ W ))).
% 69.10/10.52 thf(zip_derived_cl88, plain,
% 69.10/10.52 (![X0 : $i, X1 : $i, X2 : $i]:
% 69.10/10.52 (~ (between @ X0 @ X1 @ X2) | (colinear @ X0 @ X2 @ X1))),
% 69.10/10.52 inference('cnf', [status(esa)], [c2_2])).
% 69.10/10.52 thf(zip_derived_cl104, plain,
% 69.10/10.52 ((~ (colinear @ b @ c @ d) | ~ (colinear @ a @ c @ d))),
% 69.10/10.52 inference('cnf', [status(esa)], [zf_stmt_0])).
% 69.10/10.52 thf(zip_derived_cl1004, plain,
% 69.10/10.52 ((~ (between @ b @ d @ c) | ~ (colinear @ a @ c @ d))),
% 69.10/10.52 inference('s_sup-', [status(thm)], [zip_derived_cl88, zip_derived_cl104])).
% 69.10/10.52 thf(zip_derived_cl3543, plain,
% 69.10/10.52 (( (between @ a @ b @ d)
% 69.10/10.52 | (between @ a @ d @ b)
% 69.10/10.52 | (between @ a @ c @ b)
% 69.10/10.52 | (between @ b @ c @ d)
% 69.10/10.52 | ~ (colinear @ a @ c @ d))),
% 69.10/10.52 inference('s_sup-', [status(thm)],
% 69.10/10.52 [zip_derived_cl1981, zip_derived_cl1004])).
% 69.10/10.52 thf(zip_derived_cl18, plain,
% 69.10/10.52 (![X0 : $i, X1 : $i, X2 : $i]:
% 69.10/10.52 (~ (between @ X0 @ X1 @ X2) | (colinear @ X0 @ X1 @ X2))),
% 69.10/10.52 inference('cnf', [status(esa)], [colinearity1])).
% 69.10/10.52 thf(zip_derived_cl104, plain,
% 69.10/10.52 ((~ (colinear @ b @ c @ d) | ~ (colinear @ a @ c @ d))),
% 69.10/10.52 inference('cnf', [status(esa)], [zf_stmt_0])).
% 69.10/10.52 thf(zip_derived_cl661, plain,
% 69.10/10.52 ((~ (between @ b @ c @ d) | ~ (colinear @ a @ c @ d))),
% 69.10/10.52 inference('s_sup-', [status(thm)], [zip_derived_cl18, zip_derived_cl104])).
% 69.10/10.52 thf(zip_derived_cl3824, plain,
% 69.10/10.52 ((~ (colinear @ a @ c @ d)
% 69.10/10.52 | (between @ a @ c @ b)
% 69.10/10.52 | (between @ a @ d @ b)
% 69.10/10.52 | (between @ a @ b @ d))),
% 69.10/10.52 inference('clc', [status(thm)], [zip_derived_cl3543, zip_derived_cl661])).
% 69.10/10.52 thf(zip_derived_cl3825, plain,
% 69.10/10.52 ((~ (between @ a @ c @ d)
% 69.10/10.52 | (between @ a @ c @ b)
% 69.10/10.52 | (between @ a @ d @ b)
% 69.10/10.52 | (between @ a @ b @ d))),
% 69.10/10.52 inference('s_sup-', [status(thm)], [zip_derived_cl18, zip_derived_cl3824])).
% 69.10/10.52 thf(zip_derived_cl917, plain,
% 69.10/10.52 (( (between @ b @ a @ d)
% 69.10/10.52 | (between @ a @ d @ b)
% 69.10/10.52 | (between @ a @ b @ d))),
% 69.10/10.52 inference('s_sup-', [status(thm)], [zip_derived_cl685, zip_derived_cl50])).
% 69.10/10.52 thf(zip_derived_cl1735, plain,
% 69.10/10.52 (( (between @ a @ c @ b)
% 69.10/10.52 | (between @ b @ a @ c)
% 69.10/10.52 | (between @ a @ b @ d)
% 69.10/10.52 | (between @ a @ d @ b))),
% 69.10/10.52 inference('clc', [status(thm)], [zip_derived_cl1729, zip_derived_cl917])).
% 69.10/10.52 thf(b13, axiom,
% 69.10/10.52 (( ~( between @ U @ V @ W ) ) | ( ~( between @ U @ V @ X ) ) |
% 69.10/10.52 ( ( U ) = ( V ) ) | ( between @ V @ W @ X ) | ( between @ V @ X @ W ))).
% 69.10/10.52 thf(zip_derived_cl81, plain,
% 69.10/10.52 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 69.10/10.52 (~ (between @ X0 @ X1 @ X2)
% 69.10/10.52 | ~ (between @ X0 @ X1 @ X3)
% 69.10/10.52 | ((X0) = (X1))
% 69.10/10.52 | (between @ X1 @ X2 @ X3)
% 69.10/10.52 | (between @ X1 @ X3 @ X2))),
% 69.10/10.52 inference('cnf', [status(esa)], [b13])).
% 69.10/10.52 thf(zip_derived_cl1746, plain,
% 69.10/10.52 (![X0 : $i]:
% 69.10/10.52 ( (between @ a @ d @ b)
% 69.10/10.52 | (between @ a @ b @ d)
% 69.10/10.52 | (between @ a @ c @ b)
% 69.10/10.52 | ~ (between @ b @ a @ X0)
% 69.10/10.52 | ((b) = (a))
% 69.10/10.52 | (between @ a @ c @ X0)
% 69.10/10.52 | (between @ a @ X0 @ c))),
% 69.10/10.52 inference('s_sup-', [status(thm)], [zip_derived_cl1735, zip_derived_cl81])).
% 69.10/10.52 thf(zip_derived_cl101, plain, (((a) != (b))),
% 69.10/10.52 inference('cnf', [status(esa)], [a_not_b])).
% 69.10/10.52 thf(zip_derived_cl1753, plain,
% 69.10/10.52 (![X0 : $i]:
% 69.10/10.52 ( (between @ a @ d @ b)
% 69.10/10.52 | (between @ a @ b @ d)
% 69.10/10.52 | (between @ a @ c @ b)
% 69.10/10.52 | ~ (between @ b @ a @ X0)
% 69.10/10.52 | (between @ a @ c @ X0)
% 69.10/10.52 | (between @ a @ X0 @ c))),
% 69.10/10.52 inference('simplify_reflect-', [status(thm)],
% 69.10/10.52 [zip_derived_cl1746, zip_derived_cl101])).
% 69.10/10.52 thf(zip_derived_cl1994, plain,
% 69.10/10.52 (( (between @ a @ b @ d)
% 69.10/10.52 | (between @ a @ d @ b)
% 69.10/10.52 | (between @ a @ d @ b)
% 69.10/10.52 | (between @ a @ b @ d)
% 69.10/10.52 | (between @ a @ c @ b)
% 69.10/10.52 | (between @ a @ c @ d)
% 69.10/10.52 | (between @ a @ d @ c))),
% 69.10/10.52 inference('s_sup-', [status(thm)],
% 69.10/10.52 [zip_derived_cl917, zip_derived_cl1753])).
% 69.10/10.52 thf(zip_derived_cl2004, plain,
% 69.10/10.52 (( (between @ a @ d @ c)
% 69.10/10.52 | (between @ a @ c @ d)
% 69.10/10.52 | (between @ a @ c @ b)
% 69.10/10.52 | (between @ a @ d @ b)
% 69.10/10.52 | (between @ a @ b @ d))),
% 69.10/10.52 inference('simplify', [status(thm)], [zip_derived_cl1994])).
% 69.10/10.52 thf(zip_derived_cl1735, plain,
% 69.10/10.52 (( (between @ a @ c @ b)
% 69.10/10.52 | (between @ b @ a @ c)
% 69.10/10.52 | (between @ a @ b @ d)
% 69.10/10.52 | (between @ a @ d @ b))),
% 69.10/10.52 inference('clc', [status(thm)], [zip_derived_cl1729, zip_derived_cl917])).
% 69.10/10.52 thf(b8, axiom,
% 69.10/10.52 (( ~( between @ U @ V @ X ) ) | ( ~( between @ V @ W @ X ) ) |
% 69.10/10.52 ( between @ U @ W @ X ))).
% 69.10/10.52 thf(zip_derived_cl60, plain,
% 69.10/10.52 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 69.10/10.52 (~ (between @ X0 @ X1 @ X2)
% 69.10/10.52 | ~ (between @ X1 @ X3 @ X2)
% 69.10/10.52 | (between @ X0 @ X3 @ X2))),
% 69.10/10.52 inference('cnf', [status(esa)], [b8])).
% 69.10/10.52 thf(zip_derived_cl1742, plain,
% 69.10/10.52 (![X0 : $i]:
% 69.10/10.52 ( (between @ a @ d @ b)
% 69.10/10.52 | (between @ a @ b @ d)
% 69.10/10.52 | (between @ a @ c @ b)
% 69.10/10.52 | ~ (between @ a @ X0 @ c)
% 69.10/10.52 | (between @ b @ X0 @ c))),
% 69.10/10.52 inference('s_sup-', [status(thm)], [zip_derived_cl1735, zip_derived_cl60])).
% 69.10/10.52 thf(zip_derived_cl1004, plain,
% 69.10/10.52 ((~ (between @ b @ d @ c) | ~ (colinear @ a @ c @ d))),
% 69.10/10.52 inference('s_sup-', [status(thm)], [zip_derived_cl88, zip_derived_cl104])).
% 69.10/10.52 thf(zip_derived_cl1861, plain,
% 69.10/10.52 ((~ (between @ a @ d @ c)
% 69.10/10.52 | (between @ a @ c @ b)
% 69.10/10.52 | (between @ a @ b @ d)
% 69.10/10.52 | (between @ a @ d @ b)
% 69.10/10.52 | ~ (colinear @ a @ c @ d))),
% 69.10/10.52 inference('s_sup-', [status(thm)],
% 69.10/10.52 [zip_derived_cl1742, zip_derived_cl1004])).
% 69.10/10.52 thf(b9, axiom,
% 69.10/10.52 (( ~( between @ U @ V @ W ) ) | ( ~( between @ U @ W @ X ) ) |
% 69.10/10.52 ( between @ U @ V @ X ))).
% 69.10/10.52 thf(zip_derived_cl61, plain,
% 69.10/10.52 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 69.10/10.52 (~ (between @ X0 @ X1 @ X2)
% 69.10/10.52 | ~ (between @ X0 @ X2 @ X3)
% 69.10/10.52 | (between @ X0 @ X1 @ X3))),
% 69.10/10.52 inference('cnf', [status(esa)], [b9])).
% 69.10/10.52 thf(zip_derived_cl1864, plain,
% 69.10/10.52 ((~ (colinear @ a @ c @ d)
% 69.10/10.52 | (between @ a @ d @ b)
% 69.10/10.52 | (between @ a @ b @ d)
% 69.10/10.52 | ~ (between @ a @ d @ c))),
% 69.10/10.52 inference('clc', [status(thm)], [zip_derived_cl1861, zip_derived_cl61])).
% 69.10/10.52 thf(zip_derived_cl88, plain,
% 69.10/10.52 (![X0 : $i, X1 : $i, X2 : $i]:
% 69.10/10.52 (~ (between @ X0 @ X1 @ X2) | (colinear @ X0 @ X2 @ X1))),
% 69.10/10.52 inference('cnf', [status(esa)], [c2_2])).
% 69.10/10.52 thf(zip_derived_cl1865, plain,
% 69.10/10.52 ((~ (between @ a @ d @ c)
% 69.10/10.52 | (between @ a @ b @ d)
% 69.10/10.52 | (between @ a @ d @ b))),
% 69.10/10.52 inference('clc', [status(thm)], [zip_derived_cl1864, zip_derived_cl88])).
% 69.10/10.52 thf(zip_derived_cl3613, plain,
% 69.10/10.52 (( (between @ a @ b @ d)
% 69.10/10.52 | (between @ a @ d @ b)
% 69.10/10.52 | (between @ a @ c @ b)
% 69.10/10.52 | (between @ a @ c @ d))),
% 69.10/10.52 inference('clc', [status(thm)], [zip_derived_cl2004, zip_derived_cl1865])).
% 69.10/10.52 thf(zip_derived_cl3831, plain,
% 69.10/10.52 (( (between @ a @ b @ d)
% 69.10/10.52 | (between @ a @ d @ b)
% 69.10/10.52 | (between @ a @ c @ b))),
% 69.10/10.52 inference('clc', [status(thm)], [zip_derived_cl3825, zip_derived_cl3613])).
% 69.10/10.52 thf(zip_derived_cl61, plain,
% 69.10/10.52 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 69.10/10.52 (~ (between @ X0 @ X1 @ X2)
% 69.10/10.52 | ~ (between @ X0 @ X2 @ X3)
% 69.10/10.52 | (between @ X0 @ X1 @ X3))),
% 69.10/10.52 inference('cnf', [status(esa)], [b9])).
% 69.10/10.52 thf(zip_derived_cl3839, plain,
% 69.10/10.52 (![X0 : $i]:
% 69.10/10.52 ( (between @ a @ c @ b)
% 69.10/10.52 | (between @ a @ b @ d)
% 69.10/10.52 | ~ (between @ a @ b @ X0)
% 69.10/10.52 | (between @ a @ d @ X0))),
% 69.10/10.52 inference('s_sup-', [status(thm)], [zip_derived_cl3831, zip_derived_cl61])).
% 69.10/10.52 thf(zip_derived_cl88, plain,
% 69.10/10.52 (![X0 : $i, X1 : $i, X2 : $i]:
% 69.10/10.52 (~ (between @ X0 @ X1 @ X2) | (colinear @ X0 @ X2 @ X1))),
% 69.10/10.52 inference('cnf', [status(esa)], [c2_2])).
% 69.10/10.52 thf(zip_derived_cl684, plain,
% 69.10/10.52 (( (between @ a @ c @ b)
% 69.10/10.52 | (between @ c @ b @ a)
% 69.10/10.52 | (between @ b @ a @ c))),
% 69.10/10.52 inference('s_sup-', [status(thm)], [zip_derived_cl628, zip_derived_cl21])).
% 69.10/10.52 thf(zip_derived_cl50, plain,
% 69.10/10.52 (![X0 : $i, X1 : $i, X2 : $i]:
% 69.10/10.52 (~ (between @ X0 @ X1 @ X2) | (between @ X2 @ X1 @ X0))),
% 69.10/10.52 inference('cnf', [status(esa)], [t1])).
% 69.10/10.52 thf(zip_derived_cl720, plain,
% 69.10/10.52 (( (between @ b @ a @ c)
% 69.10/10.52 | (between @ a @ c @ b)
% 69.10/10.52 | (between @ a @ b @ c))),
% 69.10/10.52 inference('s_sup-', [status(thm)], [zip_derived_cl684, zip_derived_cl50])).
% 69.10/10.52 thf(zip_derived_cl3831, plain,
% 69.10/10.52 (( (between @ a @ b @ d)
% 69.10/10.52 | (between @ a @ d @ b)
% 69.10/10.52 | (between @ a @ c @ b))),
% 69.10/10.52 inference('clc', [status(thm)], [zip_derived_cl3825, zip_derived_cl3613])).
% 69.10/10.52 thf(zip_derived_cl50, plain,
% 69.10/10.52 (![X0 : $i, X1 : $i, X2 : $i]:
% 69.10/10.52 (~ (between @ X0 @ X1 @ X2) | (between @ X2 @ X1 @ X0))),
% 69.10/10.52 inference('cnf', [status(esa)], [t1])).
% 69.10/10.52 thf(zip_derived_cl3832, plain,
% 69.10/10.52 (( (between @ a @ c @ b)
% 69.10/10.52 | (between @ a @ b @ d)
% 69.10/10.52 | (between @ b @ d @ a))),
% 69.10/10.52 inference('s_sup-', [status(thm)], [zip_derived_cl3831, zip_derived_cl50])).
% 69.10/10.52 thf(zip_derived_cl61, plain,
% 69.10/10.52 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 69.10/10.52 (~ (between @ X0 @ X1 @ X2)
% 69.10/10.52 | ~ (between @ X0 @ X2 @ X3)
% 69.10/10.52 | (between @ X0 @ X1 @ X3))),
% 69.10/10.52 inference('cnf', [status(esa)], [b9])).
% 69.10/10.52 thf(zip_derived_cl3860, plain,
% 69.10/10.52 (![X0 : $i]:
% 69.10/10.52 ( (between @ a @ b @ d)
% 69.10/10.52 | (between @ a @ c @ b)
% 69.10/10.52 | ~ (between @ b @ a @ X0)
% 69.10/10.52 | (between @ b @ d @ X0))),
% 69.10/10.52 inference('s_sup-', [status(thm)], [zip_derived_cl3832, zip_derived_cl61])).
% 69.10/10.52 thf(zip_derived_cl1004, plain,
% 69.10/10.52 ((~ (between @ b @ d @ c) | ~ (colinear @ a @ c @ d))),
% 69.10/10.52 inference('s_sup-', [status(thm)], [zip_derived_cl88, zip_derived_cl104])).
% 69.10/10.52 thf(zip_derived_cl9131, plain,
% 69.10/10.52 ((~ (between @ b @ a @ c)
% 69.10/10.52 | (between @ a @ c @ b)
% 69.10/10.52 | (between @ a @ b @ d)
% 69.10/10.52 | ~ (colinear @ a @ c @ d))),
% 69.10/10.52 inference('s_sup-', [status(thm)],
% 69.10/10.52 [zip_derived_cl3860, zip_derived_cl1004])).
% 69.10/10.52 thf(zip_derived_cl9714, plain,
% 69.10/10.52 (( (between @ a @ b @ c)
% 69.10/10.52 | (between @ a @ c @ b)
% 69.10/10.52 | (between @ a @ c @ b)
% 69.10/10.52 | (between @ a @ b @ d)
% 69.10/10.52 | ~ (colinear @ a @ c @ d))),
% 69.10/10.52 inference('s_sup-', [status(thm)],
% 69.10/10.52 [zip_derived_cl720, zip_derived_cl9131])).
% 69.10/10.52 thf(zip_derived_cl9715, plain,
% 69.10/10.52 ((~ (colinear @ a @ c @ d)
% 69.10/10.52 | (between @ a @ b @ d)
% 69.10/10.52 | (between @ a @ c @ b)
% 69.10/10.52 | (between @ a @ b @ c))),
% 69.10/10.52 inference('simplify', [status(thm)], [zip_derived_cl9714])).
% 69.10/10.52 thf(zip_derived_cl3831, plain,
% 69.10/10.52 (( (between @ a @ b @ d)
% 69.10/10.52 | (between @ a @ d @ b)
% 69.10/10.52 | (between @ a @ c @ b))),
% 69.10/10.52 inference('clc', [status(thm)], [zip_derived_cl3825, zip_derived_cl3613])).
% 69.10/10.52 thf(b5, axiom,
% 69.10/10.52 (( ~( between @ U @ V @ W ) ) | ( ~( between @ U @ W @ X ) ) |
% 69.10/10.52 ( between @ V @ W @ X ))).
% 69.10/10.52 thf(zip_derived_cl57, plain,
% 69.10/10.52 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 69.10/10.52 (~ (between @ X0 @ X1 @ X2)
% 69.10/10.52 | ~ (between @ X0 @ X2 @ X3)
% 69.10/10.52 | (between @ X1 @ X2 @ X3))),
% 69.10/10.52 inference('cnf', [status(esa)], [b5])).
% 69.10/10.52 thf(zip_derived_cl3835, plain,
% 69.10/10.52 (![X0 : $i]:
% 69.10/10.52 ( (between @ a @ c @ b)
% 69.10/10.52 | (between @ a @ b @ d)
% 69.10/10.52 | ~ (between @ a @ b @ X0)
% 69.10/10.52 | (between @ d @ b @ X0))),
% 69.10/10.52 inference('s_sup-', [status(thm)], [zip_derived_cl3831, zip_derived_cl57])).
% 69.10/10.52 thf(zip_derived_cl20, plain,
% 69.10/10.52 (![X0 : $i, X1 : $i, X2 : $i]:
% 69.10/10.52 (~ (between @ X0 @ X1 @ X2) | (colinear @ X1 @ X2 @ X0))),
% 69.10/10.52 inference('cnf', [status(esa)], [colinearity3])).
% 69.10/10.52 thf(zip_derived_cl104, plain,
% 69.10/10.52 ((~ (colinear @ b @ c @ d) | ~ (colinear @ a @ c @ d))),
% 69.10/10.52 inference('cnf', [status(esa)], [zf_stmt_0])).
% 69.10/10.52 thf(zip_derived_cl670, plain,
% 69.10/10.52 ((~ (between @ d @ b @ c) | ~ (colinear @ a @ c @ d))),
% 69.10/10.52 inference('s_sup-', [status(thm)], [zip_derived_cl20, zip_derived_cl104])).
% 69.10/10.52 thf(zip_derived_cl8511, plain,
% 69.10/10.52 ((~ (between @ a @ b @ c)
% 69.10/10.52 | (between @ a @ b @ d)
% 69.10/10.52 | (between @ a @ c @ b)
% 69.10/10.52 | ~ (colinear @ a @ c @ d))),
% 69.10/10.52 inference('s_sup-', [status(thm)],
% 69.10/10.52 [zip_derived_cl3835, zip_derived_cl670])).
% 69.10/10.52 thf(zip_derived_cl10151, plain,
% 69.10/10.52 (( (between @ a @ c @ b)
% 69.10/10.52 | (between @ a @ b @ d)
% 69.10/10.52 | ~ (colinear @ a @ c @ d))),
% 69.10/10.52 inference('clc', [status(thm)], [zip_derived_cl9715, zip_derived_cl8511])).
% 69.10/10.52 thf(zip_derived_cl10156, plain,
% 69.10/10.52 ((~ (between @ a @ d @ c)
% 69.10/10.52 | (between @ a @ c @ b)
% 69.10/10.52 | (between @ a @ b @ d))),
% 69.10/10.52 inference('s_sup-', [status(thm)],
% 69.10/10.52 [zip_derived_cl88, zip_derived_cl10151])).
% 69.10/10.52 thf(zip_derived_cl10206, plain,
% 69.10/10.52 ((~ (between @ a @ b @ c)
% 69.10/10.52 | (between @ a @ b @ d)
% 69.10/10.52 | (between @ a @ c @ b)
% 69.10/10.52 | (between @ a @ c @ b)
% 69.10/10.52 | (between @ a @ b @ d))),
% 69.10/10.52 inference('s_sup-', [status(thm)],
% 69.10/10.52 [zip_derived_cl3839, zip_derived_cl10156])).
% 69.10/10.52 thf(zip_derived_cl10207, plain,
% 69.10/10.52 (( (between @ a @ c @ b)
% 69.10/10.52 | (between @ a @ b @ d)
% 69.10/10.52 | ~ (between @ a @ b @ c))),
% 69.10/10.52 inference('simplify', [status(thm)], [zip_derived_cl10206])).
% 69.10/10.52 thf(zip_derived_cl720, plain,
% 69.10/10.52 (( (between @ b @ a @ c)
% 69.10/10.52 | (between @ a @ c @ b)
% 69.10/10.52 | (between @ a @ b @ c))),
% 69.10/10.52 inference('s_sup-', [status(thm)], [zip_derived_cl684, zip_derived_cl50])).
% 69.10/10.52 thf(zip_derived_cl3832, plain,
% 69.10/10.52 (( (between @ a @ c @ b)
% 69.10/10.52 | (between @ a @ b @ d)
% 69.10/10.52 | (between @ b @ d @ a))),
% 69.10/10.52 inference('s_sup-', [status(thm)], [zip_derived_cl3831, zip_derived_cl50])).
% 69.10/10.52 thf(zip_derived_cl57, plain,
% 69.10/10.52 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 69.10/10.52 (~ (between @ X0 @ X1 @ X2)
% 69.10/10.52 | ~ (between @ X0 @ X2 @ X3)
% 69.10/10.52 | (between @ X1 @ X2 @ X3))),
% 69.10/10.52 inference('cnf', [status(esa)], [b5])).
% 69.10/10.52 thf(zip_derived_cl3856, plain,
% 69.10/10.52 (![X0 : $i]:
% 69.10/10.52 ( (between @ a @ b @ d)
% 69.10/10.52 | (between @ a @ c @ b)
% 69.10/10.52 | ~ (between @ b @ a @ X0)
% 69.10/10.52 | (between @ d @ a @ X0))),
% 69.10/10.52 inference('s_sup-', [status(thm)], [zip_derived_cl3832, zip_derived_cl57])).
% 69.10/10.52 thf(zip_derived_cl20, plain,
% 69.10/10.52 (![X0 : $i, X1 : $i, X2 : $i]:
% 69.10/10.52 (~ (between @ X0 @ X1 @ X2) | (colinear @ X1 @ X2 @ X0))),
% 69.10/10.52 inference('cnf', [status(esa)], [colinearity3])).
% 69.10/10.52 thf(zip_derived_cl10151, plain,
% 69.10/10.52 (( (between @ a @ c @ b)
% 69.10/10.52 | (between @ a @ b @ d)
% 69.10/10.52 | ~ (colinear @ a @ c @ d))),
% 69.10/10.52 inference('clc', [status(thm)], [zip_derived_cl9715, zip_derived_cl8511])).
% 69.10/10.52 thf(zip_derived_cl10154, plain,
% 69.10/10.52 ((~ (between @ d @ a @ c)
% 69.10/10.52 | (between @ a @ c @ b)
% 69.10/10.52 | (between @ a @ b @ d))),
% 69.10/10.52 inference('s_sup-', [status(thm)],
% 69.10/10.52 [zip_derived_cl20, zip_derived_cl10151])).
% 69.10/10.52 thf(zip_derived_cl10159, plain,
% 69.10/10.52 ((~ (between @ b @ a @ c)
% 69.10/10.52 | (between @ a @ c @ b)
% 69.10/10.52 | (between @ a @ b @ d)
% 69.10/10.52 | (between @ a @ c @ b)
% 69.10/10.52 | (between @ a @ b @ d))),
% 69.10/10.52 inference('s_sup-', [status(thm)],
% 69.10/10.52 [zip_derived_cl3856, zip_derived_cl10154])).
% 69.10/10.52 thf(zip_derived_cl10161, plain,
% 69.10/10.52 (( (between @ a @ b @ d)
% 69.10/10.52 | (between @ a @ c @ b)
% 69.10/10.52 | ~ (between @ b @ a @ c))),
% 69.10/10.52 inference('simplify', [status(thm)], [zip_derived_cl10159])).
% 69.10/10.52 thf(zip_derived_cl10213, plain,
% 69.10/10.52 (( (between @ a @ b @ c)
% 69.10/10.52 | (between @ a @ c @ b)
% 69.10/10.52 | (between @ a @ b @ d)
% 69.10/10.52 | (between @ a @ c @ b))),
% 69.10/10.52 inference('s_sup-', [status(thm)],
% 69.10/10.52 [zip_derived_cl720, zip_derived_cl10161])).
% 69.10/10.52 thf(zip_derived_cl10214, plain,
% 69.10/10.52 (( (between @ a @ b @ d)
% 69.10/10.52 | (between @ a @ c @ b)
% 69.10/10.52 | (between @ a @ b @ c))),
% 69.10/10.52 inference('simplify', [status(thm)], [zip_derived_cl10213])).
% 69.10/10.52 thf(zip_derived_cl10248, plain,
% 69.10/10.52 (( (between @ a @ b @ d) | (between @ a @ c @ b))),
% 69.10/10.52 inference('clc', [status(thm)],
% 69.10/10.52 [zip_derived_cl10207, zip_derived_cl10214])).
% 69.10/10.52 thf(zip_derived_cl682, plain,
% 69.10/10.52 (( (between @ a @ b @ c)
% 69.10/10.52 | (between @ b @ c @ a)
% 69.10/10.52 | (between @ c @ a @ b))),
% 69.10/10.52 inference('s_sup-', [status(thm)], [zip_derived_cl102, zip_derived_cl21])).
% 69.10/10.52 thf(zip_derived_cl59, plain,
% 69.10/10.52 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 69.10/10.52 (~ (between @ X0 @ X1 @ X2)
% 69.10/10.52 | ~ (between @ X1 @ X2 @ X3)
% 69.10/10.52 | (between @ X0 @ X1 @ X3)
% 69.10/10.52 | ((X1) = (X2)))),
% 69.10/10.52 inference('cnf', [status(esa)], [b7])).
% 69.10/10.52 thf(zip_derived_cl1014, plain,
% 69.10/10.52 (![X0 : $i]:
% 69.10/10.52 ( (between @ b @ c @ a)
% 69.10/10.52 | (between @ a @ b @ c)
% 69.10/10.52 | ~ (between @ a @ b @ X0)
% 69.10/10.52 | (between @ c @ a @ X0)
% 69.10/10.52 | ((a) = (b)))),
% 69.10/10.52 inference('s_sup-', [status(thm)], [zip_derived_cl682, zip_derived_cl59])).
% 69.10/10.52 thf(zip_derived_cl101, plain, (((a) != (b))),
% 69.10/10.52 inference('cnf', [status(esa)], [a_not_b])).
% 69.10/10.52 thf(zip_derived_cl1021, plain,
% 69.10/10.52 (![X0 : $i]:
% 69.10/10.52 ( (between @ b @ c @ a)
% 69.10/10.52 | (between @ a @ b @ c)
% 69.10/10.52 | ~ (between @ a @ b @ X0)
% 69.10/10.52 | (between @ c @ a @ X0))),
% 69.10/10.52 inference('simplify_reflect-', [status(thm)],
% 69.10/10.52 [zip_derived_cl1014, zip_derived_cl101])).
% 69.10/10.52 thf(zip_derived_cl1735, plain,
% 69.10/10.52 (( (between @ a @ c @ b)
% 69.10/10.52 | (between @ b @ a @ c)
% 69.10/10.52 | (between @ a @ b @ d)
% 69.10/10.52 | (between @ a @ d @ b))),
% 69.10/10.52 inference('clc', [status(thm)], [zip_derived_cl1729, zip_derived_cl917])).
% 69.10/10.52 thf(zip_derived_cl50, plain,
% 69.10/10.52 (![X0 : $i, X1 : $i, X2 : $i]:
% 69.10/10.52 (~ (between @ X0 @ X1 @ X2) | (between @ X2 @ X1 @ X0))),
% 69.10/10.52 inference('cnf', [status(esa)], [t1])).
% 69.10/10.52 thf(zip_derived_cl1736, plain,
% 69.10/10.52 (( (between @ a @ d @ b)
% 69.10/10.52 | (between @ a @ b @ d)
% 69.10/10.52 | (between @ a @ c @ b)
% 69.10/10.52 | (between @ c @ a @ b))),
% 69.10/10.52 inference('s_sup-', [status(thm)], [zip_derived_cl1735, zip_derived_cl50])).
% 69.10/10.52 thf(t9, axiom,
% 69.10/10.52 (( ~( between @ U @ V @ X ) ) | ( ~( between @ U @ W @ X ) ) |
% 69.10/10.52 ( between @ U @ V @ W ) | ( between @ U @ W @ V ))).
% 69.10/10.52 thf(zip_derived_cl83, plain,
% 69.10/10.52 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 69.10/10.52 (~ (between @ X0 @ X1 @ X2)
% 69.10/10.52 | ~ (between @ X0 @ X3 @ X2)
% 69.10/10.52 | (between @ X0 @ X1 @ X3)
% 69.10/10.52 | (between @ X0 @ X3 @ X1))),
% 69.10/10.52 inference('cnf', [status(esa)], [t9])).
% 69.10/10.52 thf(zip_derived_cl1766, plain,
% 69.10/10.52 (![X0 : $i]:
% 69.10/10.52 ( (between @ a @ c @ b)
% 69.10/10.52 | (between @ a @ b @ d)
% 69.10/10.52 | (between @ a @ d @ b)
% 69.10/10.52 | ~ (between @ c @ X0 @ b)
% 69.10/10.52 | (between @ c @ a @ X0)
% 69.10/10.52 | (between @ c @ X0 @ a))),
% 69.10/10.52 inference('s_sup-', [status(thm)], [zip_derived_cl1736, zip_derived_cl83])).
% 69.10/10.52 thf(zip_derived_cl2211, plain,
% 69.10/10.52 ((~ (between @ a @ b @ b)
% 69.10/10.52 | (between @ a @ b @ c)
% 69.10/10.52 | (between @ b @ c @ a)
% 69.10/10.52 | (between @ a @ c @ b)
% 69.10/10.52 | (between @ a @ b @ d)
% 69.10/10.52 | (between @ a @ d @ b)
% 69.10/10.52 | (between @ c @ a @ a)
% 69.10/10.52 | (between @ c @ a @ a))),
% 69.10/10.52 inference('s_sup-', [status(thm)],
% 69.10/10.52 [zip_derived_cl1021, zip_derived_cl1766])).
% 69.10/10.52 thf(t3, axiom, (between @ U @ V @ V)).
% 69.10/10.52 thf(zip_derived_cl48, plain,
% 69.10/10.52 (![X0 : $i, X1 : $i]: (between @ X0 @ X1 @ X1)),
% 69.10/10.52 inference('cnf', [status(esa)], [t3])).
% 69.10/10.52 thf(zip_derived_cl2219, plain,
% 69.10/10.52 (( (between @ a @ b @ c)
% 69.10/10.52 | (between @ b @ c @ a)
% 69.10/10.52 | (between @ a @ c @ b)
% 69.10/10.52 | (between @ a @ b @ d)
% 69.10/10.52 | (between @ a @ d @ b)
% 69.10/10.52 | (between @ c @ a @ a)
% 69.10/10.52 | (between @ c @ a @ a))),
% 69.10/10.52 inference('demod', [status(thm)], [zip_derived_cl2211, zip_derived_cl48])).
% 69.10/10.52 thf(zip_derived_cl2220, plain,
% 69.10/10.52 (( (between @ c @ a @ a)
% 69.10/10.52 | (between @ a @ d @ b)
% 69.10/10.52 | (between @ a @ b @ d)
% 69.10/10.52 | (between @ a @ c @ b)
% 69.10/10.52 | (between @ b @ c @ a)
% 69.10/10.52 | (between @ a @ b @ c))),
% 69.10/10.52 inference('simplify', [status(thm)], [zip_derived_cl2219])).
% 69.10/10.52 thf(zip_derived_cl3831, plain,
% 69.10/10.52 (( (between @ a @ b @ d)
% 69.10/10.52 | (between @ a @ d @ b)
% 69.10/10.52 | (between @ a @ c @ b))),
% 69.10/10.52 inference('clc', [status(thm)], [zip_derived_cl3825, zip_derived_cl3613])).
% 69.10/10.52 thf(zip_derived_cl4396, plain,
% 69.10/10.52 (( (between @ a @ b @ c)
% 69.10/10.52 | (between @ b @ c @ a)
% 69.10/10.52 | (between @ a @ c @ b)
% 69.10/10.52 | (between @ a @ b @ d)
% 69.10/10.52 | (between @ a @ d @ b))),
% 69.10/10.52 inference('clc', [status(thm)], [zip_derived_cl2220, zip_derived_cl3831])).
% 69.10/10.52 thf(zip_derived_cl3831, plain,
% 69.10/10.52 (( (between @ a @ b @ d)
% 69.10/10.52 | (between @ a @ d @ b)
% 69.10/10.52 | (between @ a @ c @ b))),
% 69.10/10.52 inference('clc', [status(thm)], [zip_derived_cl3825, zip_derived_cl3613])).
% 69.10/10.52 thf(zip_derived_cl4397, plain,
% 69.10/10.52 (( (between @ a @ d @ b)
% 69.10/10.52 | (between @ a @ b @ d)
% 69.10/10.52 | (between @ a @ c @ b)
% 69.10/10.52 | (between @ b @ c @ a))),
% 69.10/10.52 inference('clc', [status(thm)], [zip_derived_cl4396, zip_derived_cl3831])).
% 69.10/10.52 thf(zip_derived_cl50, plain,
% 69.10/10.52 (![X0 : $i, X1 : $i, X2 : $i]:
% 69.10/10.52 (~ (between @ X0 @ X1 @ X2) | (between @ X2 @ X1 @ X0))),
% 69.10/10.52 inference('cnf', [status(esa)], [t1])).
% 69.10/10.52 thf(zip_derived_cl4398, plain,
% 69.10/10.52 (( (between @ b @ c @ a)
% 69.10/10.52 | (between @ a @ b @ d)
% 69.10/10.52 | (between @ a @ d @ b))),
% 69.10/10.52 inference('clc', [status(thm)], [zip_derived_cl4397, zip_derived_cl50])).
% 69.10/10.52 thf(zip_derived_cl57, plain,
% 69.10/10.52 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 69.10/10.52 (~ (between @ X0 @ X1 @ X2)
% 69.10/10.52 | ~ (between @ X0 @ X2 @ X3)
% 69.10/10.52 | (between @ X1 @ X2 @ X3))),
% 69.10/10.52 inference('cnf', [status(esa)], [b5])).
% 69.10/10.52 thf(zip_derived_cl4402, plain,
% 69.10/10.52 (![X0 : $i]:
% 69.10/10.52 ( (between @ a @ d @ b)
% 69.10/10.52 | (between @ a @ b @ d)
% 69.10/10.52 | ~ (between @ b @ a @ X0)
% 69.10/10.52 | (between @ c @ a @ X0))),
% 69.10/10.52 inference('s_sup-', [status(thm)], [zip_derived_cl4398, zip_derived_cl57])).
% 69.10/10.52 thf(zip_derived_cl89, plain,
% 69.10/10.52 (![X0 : $i, X1 : $i, X2 : $i]:
% 69.10/10.52 (~ (between @ X0 @ X1 @ X2) | (colinear @ X1 @ X0 @ X2))),
% 69.10/10.52 inference('cnf', [status(esa)], [c2_3])).
% 69.10/10.52 thf(zip_derived_cl4398, plain,
% 69.10/10.52 (( (between @ b @ c @ a)
% 69.10/10.52 | (between @ a @ b @ d)
% 69.10/10.52 | (between @ a @ d @ b))),
% 69.10/10.52 inference('clc', [status(thm)], [zip_derived_cl4397, zip_derived_cl50])).
% 69.10/10.52 thf(zip_derived_cl61, plain,
% 69.10/10.52 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 69.10/10.52 (~ (between @ X0 @ X1 @ X2)
% 69.10/10.52 | ~ (between @ X0 @ X2 @ X3)
% 69.10/10.52 | (between @ X0 @ X1 @ X3))),
% 69.10/10.52 inference('cnf', [status(esa)], [b9])).
% 69.10/10.52 thf(zip_derived_cl4406, plain,
% 69.10/10.52 (![X0 : $i]:
% 69.10/10.52 ( (between @ a @ d @ b)
% 69.10/10.52 | (between @ a @ b @ d)
% 69.10/10.52 | ~ (between @ b @ a @ X0)
% 69.10/10.52 | (between @ b @ c @ X0))),
% 69.10/10.52 inference('s_sup-', [status(thm)], [zip_derived_cl4398, zip_derived_cl61])).
% 69.10/10.52 thf(zip_derived_cl661, plain,
% 69.10/10.52 ((~ (between @ b @ c @ d) | ~ (colinear @ a @ c @ d))),
% 69.10/10.52 inference('s_sup-', [status(thm)], [zip_derived_cl18, zip_derived_cl104])).
% 69.10/10.52 thf(zip_derived_cl9544, plain,
% 69.10/10.52 ((~ (between @ b @ a @ d)
% 69.10/10.52 | (between @ a @ b @ d)
% 69.10/10.52 | (between @ a @ d @ b)
% 69.10/10.52 | ~ (colinear @ a @ c @ d))),
% 69.10/10.52 inference('s_sup-', [status(thm)],
% 69.10/10.52 [zip_derived_cl4406, zip_derived_cl661])).
% 69.10/10.52 thf(zip_derived_cl917, plain,
% 69.10/10.52 (( (between @ b @ a @ d)
% 69.10/10.52 | (between @ a @ d @ b)
% 69.10/10.52 | (between @ a @ b @ d))),
% 69.10/10.52 inference('s_sup-', [status(thm)], [zip_derived_cl685, zip_derived_cl50])).
% 69.10/10.52 thf(zip_derived_cl9716, plain,
% 69.10/10.52 ((~ (colinear @ a @ c @ d)
% 69.10/10.52 | (between @ a @ d @ b)
% 69.10/10.52 | (between @ a @ b @ d))),
% 69.10/10.52 inference('clc', [status(thm)], [zip_derived_cl9544, zip_derived_cl917])).
% 69.10/10.52 thf(zip_derived_cl9722, plain,
% 69.10/10.52 ((~ (between @ c @ a @ d)
% 69.10/10.52 | (between @ a @ d @ b)
% 69.10/10.52 | (between @ a @ b @ d))),
% 69.10/10.52 inference('s_sup-', [status(thm)], [zip_derived_cl89, zip_derived_cl9716])).
% 69.10/10.52 thf(zip_derived_cl9776, plain,
% 69.10/10.52 ((~ (between @ b @ a @ d)
% 69.10/10.52 | (between @ a @ b @ d)
% 69.10/10.52 | (between @ a @ d @ b)
% 69.10/10.52 | (between @ a @ d @ b)
% 69.10/10.52 | (between @ a @ b @ d))),
% 69.10/10.52 inference('s_sup-', [status(thm)],
% 69.10/10.52 [zip_derived_cl4402, zip_derived_cl9722])).
% 69.10/10.52 thf(zip_derived_cl9781, plain,
% 69.10/10.52 (( (between @ a @ d @ b)
% 69.10/10.52 | (between @ a @ b @ d)
% 69.10/10.52 | ~ (between @ b @ a @ d))),
% 69.10/10.52 inference('simplify', [status(thm)], [zip_derived_cl9776])).
% 69.10/10.52 thf(zip_derived_cl917, plain,
% 69.10/10.52 (( (between @ b @ a @ d)
% 69.10/10.52 | (between @ a @ d @ b)
% 69.10/10.52 | (between @ a @ b @ d))),
% 69.10/10.52 inference('s_sup-', [status(thm)], [zip_derived_cl685, zip_derived_cl50])).
% 69.10/10.52 thf(zip_derived_cl9963, plain,
% 69.10/10.52 (( (between @ a @ b @ d) | (between @ a @ d @ b))),
% 69.10/10.52 inference('clc', [status(thm)], [zip_derived_cl9781, zip_derived_cl917])).
% 69.10/10.52 thf(zip_derived_cl83, plain,
% 69.10/10.52 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 69.10/10.52 (~ (between @ X0 @ X1 @ X2)
% 69.10/10.52 | ~ (between @ X0 @ X3 @ X2)
% 69.10/10.52 | (between @ X0 @ X1 @ X3)
% 69.10/10.52 | (between @ X0 @ X3 @ X1))),
% 69.10/10.52 inference('cnf', [status(esa)], [t9])).
% 69.10/10.52 thf(zip_derived_cl9976, plain,
% 69.10/10.52 (![X0 : $i]:
% 69.10/10.52 ( (between @ a @ b @ d)
% 69.10/10.52 | ~ (between @ a @ X0 @ b)
% 69.10/10.52 | (between @ a @ d @ X0)
% 69.10/10.52 | (between @ a @ X0 @ d))),
% 69.10/10.52 inference('s_sup-', [status(thm)], [zip_derived_cl9963, zip_derived_cl83])).
% 69.10/10.52 thf(zip_derived_cl61, plain,
% 69.10/10.52 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 69.10/10.52 (~ (between @ X0 @ X1 @ X2)
% 69.10/10.52 | ~ (between @ X0 @ X2 @ X3)
% 69.10/10.52 | (between @ X0 @ X1 @ X3))),
% 69.10/10.52 inference('cnf', [status(esa)], [b9])).
% 69.10/10.52 thf(zip_derived_cl16284, plain,
% 69.10/10.52 (![X0 : $i]:
% 69.10/10.52 ( (between @ a @ X0 @ d)
% 69.10/10.52 | (between @ a @ d @ X0)
% 69.10/10.52 | ~ (between @ a @ X0 @ b))),
% 69.10/10.52 inference('clc', [status(thm)], [zip_derived_cl9976, zip_derived_cl61])).
% 69.10/10.52 thf(zip_derived_cl16292, plain,
% 69.10/10.52 (( (between @ a @ b @ d)
% 69.10/10.52 | (between @ a @ c @ d)
% 69.10/10.52 | (between @ a @ d @ c))),
% 69.10/10.52 inference('s_sup-', [status(thm)],
% 69.10/10.52 [zip_derived_cl10248, zip_derived_cl16284])).
% 69.10/10.52 thf(zip_derived_cl50, plain,
% 69.10/10.52 (![X0 : $i, X1 : $i, X2 : $i]:
% 69.10/10.52 (~ (between @ X0 @ X1 @ X2) | (between @ X2 @ X1 @ X0))),
% 69.10/10.52 inference('cnf', [status(esa)], [t1])).
% 69.10/10.52 thf(zip_derived_cl16302, plain,
% 69.10/10.52 (( (between @ a @ c @ d)
% 69.10/10.52 | (between @ a @ b @ d)
% 69.10/10.52 | (between @ c @ d @ a))),
% 69.10/10.52 inference('s_sup-', [status(thm)],
% 69.10/10.52 [zip_derived_cl16292, zip_derived_cl50])).
% 69.10/10.52 thf(colinearity2, axiom,
% 69.10/10.52 (( ~( between @ Y @ Z @ X ) ) | ( colinear @ X @ Y @ Z ))).
% 69.10/10.52 thf(zip_derived_cl19, plain,
% 69.10/10.52 (![X0 : $i, X1 : $i, X2 : $i]:
% 69.10/10.52 (~ (between @ X0 @ X1 @ X2) | (colinear @ X2 @ X0 @ X1))),
% 69.10/10.52 inference('cnf', [status(esa)], [colinearity2])).
% 69.10/10.52 thf(zip_derived_cl10248, plain,
% 69.10/10.52 (( (between @ a @ b @ d) | (between @ a @ c @ b))),
% 69.10/10.52 inference('clc', [status(thm)],
% 69.10/10.52 [zip_derived_cl10207, zip_derived_cl10214])).
% 69.10/10.52 thf(zip_derived_cl9963, plain,
% 69.10/10.52 (( (between @ a @ b @ d) | (between @ a @ d @ b))),
% 69.10/10.52 inference('clc', [status(thm)], [zip_derived_cl9781, zip_derived_cl917])).
% 69.10/10.52 thf(b14, axiom,
% 69.10/10.52 (( ~( between @ U @ V @ X ) ) | ( ~( between @ U @ W @ X ) ) |
% 69.10/10.52 ( between @ V @ W @ X ) | ( between @ W @ V @ X ))).
% 69.10/10.52 thf(zip_derived_cl84, plain,
% 69.10/10.52 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 69.10/10.52 (~ (between @ X0 @ X1 @ X2)
% 69.10/10.52 | ~ (between @ X0 @ X3 @ X2)
% 69.10/10.52 | (between @ X1 @ X3 @ X2)
% 69.10/10.52 | (between @ X3 @ X1 @ X2))),
% 69.10/10.52 inference('cnf', [status(esa)], [b14])).
% 69.10/10.52 thf(zip_derived_cl9977, plain,
% 69.10/10.52 (![X0 : $i]:
% 69.10/10.52 ( (between @ a @ b @ d)
% 69.10/10.52 | ~ (between @ a @ X0 @ b)
% 69.10/10.52 | (between @ d @ X0 @ b)
% 69.10/10.52 | (between @ X0 @ d @ b))),
% 69.10/10.52 inference('s_sup-', [status(thm)], [zip_derived_cl9963, zip_derived_cl84])).
% 69.10/10.52 thf(zip_derived_cl16330, plain,
% 69.10/10.52 (( (between @ a @ b @ d)
% 69.10/10.52 | (between @ a @ b @ d)
% 69.10/10.52 | (between @ d @ c @ b)
% 69.10/10.52 | (between @ c @ d @ b))),
% 69.10/10.52 inference('s_sup-', [status(thm)],
% 69.10/10.52 [zip_derived_cl10248, zip_derived_cl9977])).
% 69.10/10.52 thf(zip_derived_cl16333, plain,
% 69.10/10.52 (( (between @ c @ d @ b)
% 69.10/10.52 | (between @ d @ c @ b)
% 69.10/10.52 | (between @ a @ b @ d))),
% 69.10/10.52 inference('simplify', [status(thm)], [zip_derived_cl16330])).
% 69.10/10.52 thf(c2_1, axiom, (( ~( between @ W @ V @ U ) ) | ( colinear @ U @ V @ W ))).
% 69.10/10.52 thf(zip_derived_cl87, plain,
% 69.10/10.52 (![X0 : $i, X1 : $i, X2 : $i]:
% 69.10/10.52 (~ (between @ X0 @ X1 @ X2) | (colinear @ X2 @ X1 @ X0))),
% 69.10/10.52 inference('cnf', [status(esa)], [c2_1])).
% 69.10/10.52 thf(zip_derived_cl104, plain,
% 69.10/10.52 ((~ (colinear @ b @ c @ d) | ~ (colinear @ a @ c @ d))),
% 69.10/10.52 inference('cnf', [status(esa)], [zf_stmt_0])).
% 69.10/10.52 thf(zip_derived_cl958, plain,
% 69.10/10.52 ((~ (between @ d @ c @ b) | ~ (colinear @ a @ c @ d))),
% 69.10/10.52 inference('s_sup-', [status(thm)], [zip_derived_cl87, zip_derived_cl104])).
% 69.10/10.52 thf(zip_derived_cl16917, plain,
% 69.10/10.52 (( (between @ a @ b @ d)
% 69.10/10.52 | (between @ c @ d @ b)
% 69.10/10.52 | ~ (colinear @ a @ c @ d))),
% 69.10/10.52 inference('s_sup-', [status(thm)],
% 69.10/10.52 [zip_derived_cl16333, zip_derived_cl958])).
% 69.10/10.52 thf(zip_derived_cl19, plain,
% 69.10/10.52 (![X0 : $i, X1 : $i, X2 : $i]:
% 69.10/10.52 (~ (between @ X0 @ X1 @ X2) | (colinear @ X2 @ X0 @ X1))),
% 69.10/10.52 inference('cnf', [status(esa)], [colinearity2])).
% 69.10/10.52 thf(zip_derived_cl104, plain,
% 69.10/10.52 ((~ (colinear @ b @ c @ d) | ~ (colinear @ a @ c @ d))),
% 69.10/10.52 inference('cnf', [status(esa)], [zf_stmt_0])).
% 69.10/10.52 thf(zip_derived_cl666, plain,
% 69.10/10.52 ((~ (between @ c @ d @ b) | ~ (colinear @ a @ c @ d))),
% 69.10/10.52 inference('s_sup-', [status(thm)], [zip_derived_cl19, zip_derived_cl104])).
% 69.10/10.52 thf(zip_derived_cl17099, plain,
% 69.10/10.52 ((~ (colinear @ a @ c @ d) | (between @ a @ b @ d))),
% 69.10/10.52 inference('clc', [status(thm)], [zip_derived_cl16917, zip_derived_cl666])).
% 69.10/10.52 thf(zip_derived_cl17101, plain,
% 69.10/10.52 ((~ (between @ c @ d @ a) | (between @ a @ b @ d))),
% 69.10/10.52 inference('s_sup-', [status(thm)],
% 69.10/10.52 [zip_derived_cl19, zip_derived_cl17099])).
% 69.10/10.52 thf(zip_derived_cl17108, plain,
% 69.10/10.52 (( (between @ a @ b @ d)
% 69.10/10.52 | (between @ a @ c @ d)
% 69.10/10.52 | (between @ a @ b @ d))),
% 69.10/10.52 inference('s_sup-', [status(thm)],
% 69.10/10.52 [zip_derived_cl16302, zip_derived_cl17101])).
% 69.10/10.52 thf(zip_derived_cl17109, plain,
% 69.10/10.52 (( (between @ a @ c @ d) | (between @ a @ b @ d))),
% 69.10/10.52 inference('simplify', [status(thm)], [zip_derived_cl17108])).
% 69.10/10.52 thf(zip_derived_cl18, plain,
% 69.10/10.52 (![X0 : $i, X1 : $i, X2 : $i]:
% 69.10/10.52 (~ (between @ X0 @ X1 @ X2) | (colinear @ X0 @ X1 @ X2))),
% 69.10/10.52 inference('cnf', [status(esa)], [colinearity1])).
% 69.10/10.52 thf(zip_derived_cl17099, plain,
% 69.10/10.52 ((~ (colinear @ a @ c @ d) | (between @ a @ b @ d))),
% 69.10/10.52 inference('clc', [status(thm)], [zip_derived_cl16917, zip_derived_cl666])).
% 69.10/10.52 thf(zip_derived_cl17100, plain,
% 69.10/10.52 ((~ (between @ a @ c @ d) | (between @ a @ b @ d))),
% 69.10/10.52 inference('s_sup-', [status(thm)],
% 69.10/10.52 [zip_derived_cl18, zip_derived_cl17099])).
% 69.10/10.52 thf(zip_derived_cl17147, plain, ( (between @ a @ b @ d)),
% 69.10/10.52 inference('clc', [status(thm)],
% 69.10/10.52 [zip_derived_cl17109, zip_derived_cl17100])).
% 69.10/10.52 thf(zip_derived_cl17148, plain,
% 69.10/10.52 (( (between @ a @ b @ c)
% 69.10/10.52 | (between @ b @ c @ a)
% 69.10/10.52 | ~ (colinear @ a @ c @ d))),
% 69.10/10.52 inference('demod', [status(thm)],
% 69.10/10.52 [zip_derived_cl1288, zip_derived_cl17147])).
% 69.10/10.52 thf(zip_derived_cl17223, plain,
% 69.10/10.52 ((~ (between @ d @ a @ c)
% 69.10/10.52 | (between @ a @ b @ c)
% 69.10/10.52 | (between @ b @ c @ a))),
% 69.10/10.52 inference('s_sup-', [status(thm)],
% 69.10/10.52 [zip_derived_cl20, zip_derived_cl17148])).
% 69.10/10.52 thf(zip_derived_cl17147, plain, ( (between @ a @ b @ d)),
% 69.10/10.52 inference('clc', [status(thm)],
% 69.10/10.52 [zip_derived_cl17109, zip_derived_cl17100])).
% 69.10/10.52 thf(zip_derived_cl1021, plain,
% 69.10/10.52 (![X0 : $i]:
% 69.10/10.52 ( (between @ b @ c @ a)
% 69.10/10.52 | (between @ a @ b @ c)
% 69.10/10.52 | ~ (between @ a @ b @ X0)
% 69.10/10.52 | (between @ c @ a @ X0))),
% 69.10/10.52 inference('simplify_reflect-', [status(thm)],
% 69.10/10.52 [zip_derived_cl1014, zip_derived_cl101])).
% 69.10/10.52 thf(zip_derived_cl50, plain,
% 69.10/10.52 (![X0 : $i, X1 : $i, X2 : $i]:
% 69.10/10.52 (~ (between @ X0 @ X1 @ X2) | (between @ X2 @ X1 @ X0))),
% 69.10/10.52 inference('cnf', [status(esa)], [t1])).
% 69.10/10.52 thf(zip_derived_cl1639, plain,
% 69.10/10.52 (![X0 : $i]:
% 69.10/10.52 (~ (between @ a @ b @ X0)
% 69.10/10.52 | (between @ a @ b @ c)
% 69.10/10.52 | (between @ b @ c @ a)
% 69.10/10.52 | (between @ X0 @ a @ c))),
% 69.10/10.52 inference('s_sup-', [status(thm)], [zip_derived_cl1021, zip_derived_cl50])).
% 69.10/10.52 thf(zip_derived_cl17167, plain,
% 69.10/10.52 (( (between @ a @ b @ c)
% 69.10/10.52 | (between @ b @ c @ a)
% 69.10/10.52 | (between @ d @ a @ c))),
% 69.10/10.52 inference('s_sup-', [status(thm)],
% 69.10/10.52 [zip_derived_cl17147, zip_derived_cl1639])).
% 69.10/10.52 thf(zip_derived_cl17735, plain,
% 69.10/10.52 (( (between @ b @ c @ a) | (between @ a @ b @ c))),
% 69.10/10.52 inference('clc', [status(thm)],
% 69.10/10.52 [zip_derived_cl17223, zip_derived_cl17167])).
% 69.10/10.52 thf(zip_derived_cl50, plain,
% 69.10/10.52 (![X0 : $i, X1 : $i, X2 : $i]:
% 69.10/10.52 (~ (between @ X0 @ X1 @ X2) | (between @ X2 @ X1 @ X0))),
% 69.10/10.52 inference('cnf', [status(esa)], [t1])).
% 69.10/10.52 thf(zip_derived_cl17736, plain,
% 69.10/10.52 (( (between @ a @ b @ c) | (between @ a @ c @ b))),
% 69.10/10.52 inference('s_sup-', [status(thm)],
% 69.10/10.52 [zip_derived_cl17735, zip_derived_cl50])).
% 69.10/10.52 thf(zip_derived_cl16284, plain,
% 69.10/10.52 (![X0 : $i]:
% 69.10/10.52 ( (between @ a @ X0 @ d)
% 69.10/10.52 | (between @ a @ d @ X0)
% 69.10/10.52 | ~ (between @ a @ X0 @ b))),
% 69.10/10.52 inference('clc', [status(thm)], [zip_derived_cl9976, zip_derived_cl61])).
% 69.10/10.52 thf(zip_derived_cl17777, plain,
% 69.10/10.52 (( (between @ a @ b @ c)
% 69.10/10.52 | (between @ a @ c @ d)
% 69.10/10.52 | (between @ a @ d @ c))),
% 69.10/10.52 inference('s_sup-', [status(thm)],
% 69.10/10.52 [zip_derived_cl17736, zip_derived_cl16284])).
% 69.10/10.52 thf(zip_derived_cl17147, plain, ( (between @ a @ b @ d)),
% 69.10/10.52 inference('clc', [status(thm)],
% 69.10/10.52 [zip_derived_cl17109, zip_derived_cl17100])).
% 69.10/10.52 thf(zip_derived_cl57, plain,
% 69.10/10.52 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 69.10/10.52 (~ (between @ X0 @ X1 @ X2)
% 69.10/10.52 | ~ (between @ X0 @ X2 @ X3)
% 69.10/10.52 | (between @ X1 @ X2 @ X3))),
% 69.10/10.52 inference('cnf', [status(esa)], [b5])).
% 69.10/10.52 thf(zip_derived_cl17152, plain,
% 69.10/10.52 (![X0 : $i]: (~ (between @ a @ d @ X0) | (between @ b @ d @ X0))),
% 69.10/10.52 inference('s_sup-', [status(thm)],
% 69.10/10.52 [zip_derived_cl17147, zip_derived_cl57])).
% 69.10/10.52 thf(zip_derived_cl1004, plain,
% 69.10/10.52 ((~ (between @ b @ d @ c) | ~ (colinear @ a @ c @ d))),
% 69.10/10.52 inference('s_sup-', [status(thm)], [zip_derived_cl88, zip_derived_cl104])).
% 69.10/10.52 thf(zip_derived_cl18134, plain,
% 69.10/10.52 ((~ (between @ a @ d @ c) | ~ (colinear @ a @ c @ d))),
% 69.10/10.52 inference('s_sup-', [status(thm)],
% 69.10/10.52 [zip_derived_cl17152, zip_derived_cl1004])).
% 69.10/10.52 thf(zip_derived_cl88, plain,
% 69.10/10.52 (![X0 : $i, X1 : $i, X2 : $i]:
% 69.10/10.52 (~ (between @ X0 @ X1 @ X2) | (colinear @ X0 @ X2 @ X1))),
% 69.10/10.52 inference('cnf', [status(esa)], [c2_2])).
% 69.10/10.52 thf(zip_derived_cl18139, plain, (~ (between @ a @ d @ c)),
% 69.10/10.52 inference('clc', [status(thm)], [zip_derived_cl18134, zip_derived_cl88])).
% 69.10/10.52 thf(zip_derived_cl18155, plain,
% 69.10/10.52 (( (between @ a @ c @ d) | (between @ a @ b @ c))),
% 69.10/10.52 inference('clc', [status(thm)],
% 69.10/10.52 [zip_derived_cl17777, zip_derived_cl18139])).
% 69.10/10.52 thf(zip_derived_cl17147, plain, ( (between @ a @ b @ d)),
% 69.10/10.52 inference('clc', [status(thm)],
% 69.10/10.52 [zip_derived_cl17109, zip_derived_cl17100])).
% 69.10/10.52 thf(zip_derived_cl84, plain,
% 69.10/10.52 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 69.10/10.52 (~ (between @ X0 @ X1 @ X2)
% 69.10/10.52 | ~ (between @ X0 @ X3 @ X2)
% 69.10/10.52 | (between @ X1 @ X3 @ X2)
% 69.10/10.52 | (between @ X3 @ X1 @ X2))),
% 69.10/10.52 inference('cnf', [status(esa)], [b14])).
% 69.10/10.52 thf(zip_derived_cl17162, plain,
% 69.10/10.52 (![X0 : $i]:
% 69.10/10.52 (~ (between @ a @ X0 @ d)
% 69.10/10.52 | (between @ b @ X0 @ d)
% 69.10/10.52 | (between @ X0 @ b @ d))),
% 69.10/10.52 inference('s_sup-', [status(thm)],
% 69.10/10.52 [zip_derived_cl17147, zip_derived_cl84])).
% 69.10/10.52 thf(zip_derived_cl28221, plain,
% 69.10/10.52 (( (between @ a @ b @ c)
% 69.10/10.52 | (between @ b @ c @ d)
% 69.10/10.52 | (between @ c @ b @ d))),
% 69.10/10.53 inference('s_sup-', [status(thm)],
% 69.10/10.53 [zip_derived_cl18155, zip_derived_cl17162])).
% 69.10/10.53 thf(zip_derived_cl1047, plain,
% 69.10/10.53 ((~ (between @ c @ b @ d) | ~ (colinear @ a @ c @ d))),
% 69.10/10.53 inference('s_sup-', [status(thm)], [zip_derived_cl89, zip_derived_cl104])).
% 69.10/10.53 thf(zip_derived_cl28384, plain,
% 69.10/10.53 (( (between @ b @ c @ d)
% 69.10/10.53 | (between @ a @ b @ c)
% 69.10/10.53 | ~ (colinear @ a @ c @ d))),
% 69.10/10.53 inference('s_sup-', [status(thm)],
% 69.10/10.53 [zip_derived_cl28221, zip_derived_cl1047])).
% 69.10/10.53 thf(zip_derived_cl661, plain,
% 69.10/10.53 ((~ (between @ b @ c @ d) | ~ (colinear @ a @ c @ d))),
% 69.10/10.53 inference('s_sup-', [status(thm)], [zip_derived_cl18, zip_derived_cl104])).
% 69.10/10.53 thf(zip_derived_cl28386, plain,
% 69.10/10.53 ((~ (colinear @ a @ c @ d) | (between @ a @ b @ c))),
% 69.10/10.53 inference('clc', [status(thm)], [zip_derived_cl28384, zip_derived_cl661])).
% 69.10/10.53 thf(zip_derived_cl28387, plain,
% 69.10/10.53 ((~ (between @ a @ c @ d) | (between @ a @ b @ c))),
% 69.10/10.53 inference('s_sup-', [status(thm)],
% 69.10/10.53 [zip_derived_cl18, zip_derived_cl28386])).
% 69.10/10.53 thf(zip_derived_cl18155, plain,
% 69.10/10.53 (( (between @ a @ c @ d) | (between @ a @ b @ c))),
% 69.10/10.53 inference('clc', [status(thm)],
% 69.10/10.53 [zip_derived_cl17777, zip_derived_cl18139])).
% 69.10/10.53 thf(zip_derived_cl28393, plain, ( (between @ a @ b @ c)),
% 69.10/10.53 inference('clc', [status(thm)],
% 69.10/10.53 [zip_derived_cl28387, zip_derived_cl18155])).
% 69.10/10.53 thf(zip_derived_cl17147, plain, ( (between @ a @ b @ d)),
% 69.10/10.53 inference('clc', [status(thm)],
% 69.10/10.53 [zip_derived_cl17109, zip_derived_cl17100])).
% 69.10/10.53 thf(zip_derived_cl81, plain,
% 69.10/10.53 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 69.10/10.53 (~ (between @ X0 @ X1 @ X2)
% 69.10/10.53 | ~ (between @ X0 @ X1 @ X3)
% 69.10/10.53 | ((X0) = (X1))
% 69.10/10.53 | (between @ X1 @ X2 @ X3)
% 69.10/10.53 | (between @ X1 @ X3 @ X2))),
% 69.10/10.53 inference('cnf', [status(esa)], [b13])).
% 69.10/10.53 thf(zip_derived_cl17159, plain,
% 69.10/10.53 (![X0 : $i]:
% 69.10/10.53 (~ (between @ a @ b @ X0)
% 69.10/10.53 | ((a) = (b))
% 69.10/10.53 | (between @ b @ d @ X0)
% 69.10/10.53 | (between @ b @ X0 @ d))),
% 69.10/10.53 inference('s_sup-', [status(thm)],
% 69.10/10.53 [zip_derived_cl17147, zip_derived_cl81])).
% 69.10/10.53 thf(zip_derived_cl101, plain, (((a) != (b))),
% 69.10/10.53 inference('cnf', [status(esa)], [a_not_b])).
% 69.10/10.53 thf(zip_derived_cl17171, plain,
% 69.10/10.53 (![X0 : $i]:
% 69.10/10.53 (~ (between @ a @ b @ X0)
% 69.10/10.53 | (between @ b @ d @ X0)
% 69.10/10.53 | (between @ b @ X0 @ d))),
% 69.10/10.53 inference('simplify_reflect-', [status(thm)],
% 69.10/10.53 [zip_derived_cl17159, zip_derived_cl101])).
% 69.10/10.53 thf(zip_derived_cl28435, plain,
% 69.10/10.53 (( (between @ b @ d @ c) | (between @ b @ c @ d))),
% 69.10/10.53 inference('s_sup-', [status(thm)],
% 69.10/10.53 [zip_derived_cl28393, zip_derived_cl17171])).
% 69.10/10.53 thf(zip_derived_cl1004, plain,
% 69.10/10.53 ((~ (between @ b @ d @ c) | ~ (colinear @ a @ c @ d))),
% 69.10/10.53 inference('s_sup-', [status(thm)], [zip_derived_cl88, zip_derived_cl104])).
% 69.10/10.53 thf(zip_derived_cl28968, plain,
% 69.10/10.53 (( (between @ b @ c @ d) | ~ (colinear @ a @ c @ d))),
% 69.10/10.53 inference('s_sup-', [status(thm)],
% 69.10/10.53 [zip_derived_cl28435, zip_derived_cl1004])).
% 69.10/10.53 thf(zip_derived_cl661, plain,
% 69.10/10.53 ((~ (between @ b @ c @ d) | ~ (colinear @ a @ c @ d))),
% 69.10/10.53 inference('s_sup-', [status(thm)], [zip_derived_cl18, zip_derived_cl104])).
% 69.10/10.53 thf(zip_derived_cl28973, plain, (~ (colinear @ a @ c @ d)),
% 69.10/10.53 inference('clc', [status(thm)], [zip_derived_cl28968, zip_derived_cl661])).
% 69.10/10.53 thf(zip_derived_cl28974, plain, (~ (between @ a @ c @ d)),
% 69.10/10.53 inference('s_sup-', [status(thm)],
% 69.10/10.53 [zip_derived_cl18, zip_derived_cl28973])).
% 69.10/10.53 thf(zip_derived_cl28393, plain, ( (between @ a @ b @ c)),
% 69.10/10.53 inference('clc', [status(thm)],
% 69.10/10.53 [zip_derived_cl28387, zip_derived_cl18155])).
% 69.10/10.53 thf(zip_derived_cl17147, plain, ( (between @ a @ b @ d)),
% 69.10/10.53 inference('clc', [status(thm)],
% 69.10/10.53 [zip_derived_cl17109, zip_derived_cl17100])).
% 69.10/10.53 thf(zip_derived_cl80, plain,
% 69.10/10.53 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 69.10/10.53 (~ (between @ X0 @ X1 @ X2)
% 69.10/10.53 | ~ (between @ X0 @ X1 @ X3)
% 69.10/10.53 | ((X0) = (X1))
% 69.10/10.53 | (between @ X0 @ X2 @ X3)
% 69.10/10.53 | (between @ X0 @ X3 @ X2))),
% 69.10/10.53 inference('cnf', [status(esa)], [b12])).
% 69.10/10.53 thf(zip_derived_cl17158, plain,
% 69.10/10.53 (![X0 : $i]:
% 69.10/10.53 (~ (between @ a @ b @ X0)
% 69.10/10.53 | ((a) = (b))
% 69.10/10.53 | (between @ a @ d @ X0)
% 69.10/10.53 | (between @ a @ X0 @ d))),
% 69.10/10.53 inference('s_sup-', [status(thm)],
% 69.10/10.53 [zip_derived_cl17147, zip_derived_cl80])).
% 69.10/10.53 thf(zip_derived_cl101, plain, (((a) != (b))),
% 69.10/10.53 inference('cnf', [status(esa)], [a_not_b])).
% 69.10/10.53 thf(zip_derived_cl17170, plain,
% 69.10/10.53 (![X0 : $i]:
% 69.10/10.53 (~ (between @ a @ b @ X0)
% 69.10/10.53 | (between @ a @ d @ X0)
% 69.10/10.53 | (between @ a @ X0 @ d))),
% 69.10/10.53 inference('simplify_reflect-', [status(thm)],
% 69.10/10.53 [zip_derived_cl17158, zip_derived_cl101])).
% 69.10/10.53 thf(zip_derived_cl28434, plain,
% 69.10/10.53 (( (between @ a @ d @ c) | (between @ a @ c @ d))),
% 69.10/10.53 inference('s_sup-', [status(thm)],
% 69.10/10.53 [zip_derived_cl28393, zip_derived_cl17170])).
% 69.10/10.53 thf(zip_derived_cl18139, plain, (~ (between @ a @ d @ c)),
% 69.10/10.53 inference('clc', [status(thm)], [zip_derived_cl18134, zip_derived_cl88])).
% 69.10/10.53 thf(zip_derived_cl28485, plain, ( (between @ a @ c @ d)),
% 69.10/10.53 inference('clc', [status(thm)],
% 69.10/10.53 [zip_derived_cl28434, zip_derived_cl18139])).
% 69.10/10.53 thf(zip_derived_cl28980, plain, ($false),
% 69.10/10.53 inference('demod', [status(thm)],
% 69.10/10.53 [zip_derived_cl28974, zip_derived_cl28485])).
% 69.10/10.53
% 69.10/10.53 % SZS output end Refutation
% 69.10/10.53
% 69.10/10.53
% 69.10/10.53 % Terminating...
% 69.68/10.59 % Runner terminated.
% 69.68/10.60 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------