%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GEO222+1 : TPTP v9.2.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.QZ3GLrdLWd true
% Computer : n015.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 : Thu Oct 2 04:34:23 PM UTC 2025
% Result : Theorem 6.53s 1.53s
% Output : Refutation 6.53s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : GEO222+1 : TPTP v9.2.0. Released v3.3.0.
% 0.07/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.QZ3GLrdLWd true
% 0.15/0.35 % Computer : n015.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Wed Oct 1 17:40:53 EDT 2025
% 0.15/0.35 % CPUTime :
% 0.15/0.35 % Running portfolio for 300 s
% 0.15/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.15/0.35 % Number of cores: 8
% 0.15/0.36 % Python version: Python 3.6.8
% 0.15/0.36 % Running in FO mode
% 0.56/0.65 % Total configuration time : 435
% 0.56/0.65 % Estimated wc time : 1092
% 0.56/0.65 % Estimated cpu time (7 cpus) : 156.0
% 0.56/0.74 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.56/0.75 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.56/0.77 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.56/0.77 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.58/0.80 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.58/0.80 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.58/0.80 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 6.21/1.52 % /export/starexec/sandbox/solver/bin/fo/fo1_lcnf.sh running for 50s
% 6.53/1.53 % Solved by fo/fo6_bce.sh.
% 6.53/1.53 % BCE start: 27
% 6.53/1.53 % BCE eliminated: 0
% 6.53/1.53 % PE start: 27
% 6.53/1.53 logic: neq
% 6.53/1.53 % PE eliminated: 1
% 6.53/1.53 % done 249 iterations in 0.735s
% 6.53/1.53 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 6.53/1.53 % SZS output start Refutation
% 6.53/1.53 thf(orthogonal_through_point_type, type, orthogonal_through_point: $i > $i > $i).
% 6.53/1.53 thf(unorthogonal_lines_type, type, unorthogonal_lines: $i > $i > $o).
% 6.53/1.53 thf(distinct_lines_type, type, distinct_lines: $i > $i > $o).
% 6.53/1.53 thf(sk__1_type, type, sk__1: $i).
% 6.53/1.53 thf(zip_tseitin_0_type, type, zip_tseitin_0: $i > $i > $o).
% 6.53/1.53 thf(apart_point_and_line_type, type, apart_point_and_line: $i > $i > $o).
% 6.53/1.53 thf(intersection_point_type, type, intersection_point: $i > $i > $i).
% 6.53/1.53 thf(zip_tseitin_1_type, type, zip_tseitin_1: $i > $i > $o).
% 6.53/1.53 thf(sk__type, type, sk_: $i).
% 6.53/1.53 thf(convergent_lines_type, type, convergent_lines: $i > $i > $o).
% 6.53/1.53 thf(con, conjecture,
% 6.53/1.53 (![A:$i,L:$i]:
% 6.53/1.53 ( ~( convergent_lines @
% 6.53/1.53 L @
% 6.53/1.53 ( orthogonal_through_point @ ( orthogonal_through_point @ L @ A ) @ A ) ) ))).
% 6.53/1.53 thf(zf_stmt_0, negated_conjecture,
% 6.53/1.53 (~( ![A:$i,L:$i]:
% 6.53/1.53 ( ~( convergent_lines @
% 6.53/1.53 L @
% 6.53/1.53 ( orthogonal_through_point @
% 6.53/1.53 ( orthogonal_through_point @ L @ A ) @ A ) ) ) )),
% 6.53/1.53 inference('cnf.neg', [status(esa)], [con])).
% 6.53/1.53 thf(zip_derived_cl26, plain,
% 6.53/1.53 ( (convergent_lines @ sk__1 @
% 6.53/1.53 (orthogonal_through_point @
% 6.53/1.53 (orthogonal_through_point @ sk__1 @ sk_) @ sk_))),
% 6.53/1.53 inference('cnf', [status(esa)], [zf_stmt_0])).
% 6.53/1.53 thf(zip_derived_cl26, plain,
% 6.53/1.53 ( (convergent_lines @ sk__1 @
% 6.53/1.53 (orthogonal_through_point @
% 6.53/1.53 (orthogonal_through_point @ sk__1 @ sk_) @ sk_))),
% 6.53/1.53 inference('cnf', [status(esa)], [zf_stmt_0])).
% 6.53/1.53 thf(ceq3, axiom,
% 6.53/1.53 (![X:$i,Y:$i,Z:$i]:
% 6.53/1.53 ( ( convergent_lines @ X @ Y ) =>
% 6.53/1.53 ( ( distinct_lines @ Y @ Z ) | ( convergent_lines @ X @ Z ) ) ))).
% 6.53/1.53 thf(zip_derived_cl13, plain,
% 6.53/1.53 (![X0 : $i, X1 : $i, X2 : $i]:
% 6.53/1.53 (~ (convergent_lines @ X0 @ X1)
% 6.53/1.53 | (distinct_lines @ X1 @ X2)
% 6.53/1.53 | (convergent_lines @ X0 @ X2))),
% 6.53/1.53 inference('cnf', [status(esa)], [ceq3])).
% 6.53/1.53 thf(zip_derived_cl54, plain,
% 6.53/1.53 (![X0 : $i]:
% 6.53/1.53 ( (distinct_lines @
% 6.53/1.53 (orthogonal_through_point @
% 6.53/1.53 (orthogonal_through_point @ sk__1 @ sk_) @ sk_) @
% 6.53/1.53 X0)
% 6.53/1.53 | (convergent_lines @ sk__1 @ X0))),
% 6.53/1.53 inference('s_sup-', [status(thm)], [zip_derived_cl26, zip_derived_cl13])).
% 6.53/1.53 thf(ouo1, axiom,
% 6.53/1.53 (![A:$i,L:$i,M:$i,N:$i]:
% 6.53/1.53 ( ( distinct_lines @ L @ M ) =>
% 6.53/1.53 ( ( apart_point_and_line @ A @ L ) | ( apart_point_and_line @ A @ M ) |
% 6.53/1.53 ( unorthogonal_lines @ L @ N ) | ( unorthogonal_lines @ M @ N ) ) ))).
% 6.53/1.53 thf(zip_derived_cl25, plain,
% 6.53/1.53 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 6.53/1.53 ( (apart_point_and_line @ X0 @ X1)
% 6.53/1.53 | (apart_point_and_line @ X0 @ X2)
% 6.53/1.53 | ~ (distinct_lines @ X2 @ X1)
% 6.53/1.53 | (unorthogonal_lines @ X2 @ X3)
% 6.53/1.53 | (unorthogonal_lines @ X1 @ X3))),
% 6.53/1.53 inference('cnf', [status(esa)], [ouo1])).
% 6.53/1.53 thf(zip_derived_cl71, plain,
% 6.53/1.53 (![X0 : $i, X1 : $i, X2 : $i]:
% 6.53/1.53 ( (convergent_lines @ sk__1 @ X0)
% 6.53/1.53 | (apart_point_and_line @ X1 @ X0)
% 6.53/1.53 | (apart_point_and_line @ X1 @
% 6.53/1.53 (orthogonal_through_point @
% 6.53/1.53 (orthogonal_through_point @ sk__1 @ sk_) @ sk_))
% 6.53/1.53 | (unorthogonal_lines @
% 6.53/1.53 (orthogonal_through_point @
% 6.53/1.53 (orthogonal_through_point @ sk__1 @ sk_) @ sk_) @
% 6.53/1.53 X2)
% 6.53/1.53 | (unorthogonal_lines @ X0 @ X2))),
% 6.53/1.53 inference('s_sup-', [status(thm)], [zip_derived_cl54, zip_derived_cl25])).
% 6.53/1.53 thf(ci3, axiom,
% 6.53/1.53 (![X:$i,Y:$i]:
% 6.53/1.53 ( ( convergent_lines @ X @ Y ) =>
% 6.53/1.53 ( ~( apart_point_and_line @ ( intersection_point @ X @ Y ) @ X ) ) ))).
% 6.53/1.53 thf(zip_derived_cl8, plain,
% 6.53/1.53 (![X0 : $i, X1 : $i]:
% 6.53/1.53 (~ (apart_point_and_line @ (intersection_point @ X0 @ X1) @ X0)
% 6.53/1.53 | ~ (convergent_lines @ X0 @ X1))),
% 6.53/1.53 inference('cnf', [status(esa)], [ci3])).
% 6.53/1.53 thf(zip_derived_cl147, plain,
% 6.53/1.53 (![X0 : $i, X1 : $i, X2 : $i]:
% 6.53/1.53 ( (unorthogonal_lines @ X0 @ X2)
% 6.53/1.53 | (unorthogonal_lines @
% 6.53/1.53 (orthogonal_through_point @
% 6.53/1.53 (orthogonal_through_point @ sk__1 @ sk_) @ sk_) @
% 6.53/1.53 X2)
% 6.53/1.53 | (apart_point_and_line @ (intersection_point @ X0 @ X1) @
% 6.53/1.53 (orthogonal_through_point @
% 6.53/1.53 (orthogonal_through_point @ sk__1 @ sk_) @ sk_))
% 6.53/1.53 | (convergent_lines @ sk__1 @ X0)
% 6.53/1.53 | ~ (convergent_lines @ X0 @ X1))),
% 6.53/1.53 inference('s_sup-', [status(thm)], [zip_derived_cl71, zip_derived_cl8])).
% 6.53/1.53 thf(zip_derived_cl1218, plain,
% 6.53/1.53 (![X0 : $i]:
% 6.53/1.53 ( (unorthogonal_lines @ sk__1 @ X0)
% 6.53/1.53 | (unorthogonal_lines @
% 6.53/1.53 (orthogonal_through_point @
% 6.53/1.53 (orthogonal_through_point @ sk__1 @ sk_) @ sk_) @
% 6.53/1.53 X0)
% 6.53/1.53 | (apart_point_and_line @
% 6.53/1.53 (intersection_point @ sk__1 @
% 6.53/1.53 (orthogonal_through_point @
% 6.53/1.53 (orthogonal_through_point @ sk__1 @ sk_) @ sk_)) @
% 6.53/1.53 (orthogonal_through_point @
% 6.53/1.53 (orthogonal_through_point @ sk__1 @ sk_) @ sk_))
% 6.53/1.53 | (convergent_lines @ sk__1 @ sk__1))),
% 6.53/1.53 inference('s_sup-', [status(thm)], [zip_derived_cl26, zip_derived_cl147])).
% 6.53/1.53 thf(apart3, axiom, (![X:$i]: ( ~( convergent_lines @ X @ X ) ))).
% 6.53/1.53 thf(zip_derived_cl2, plain, (![X0 : $i]: ~ (convergent_lines @ X0 @ X0)),
% 6.53/1.53 inference('cnf', [status(esa)], [apart3])).
% 6.53/1.53 thf(zip_derived_cl1276, plain,
% 6.53/1.53 (![X0 : $i]:
% 6.53/1.53 ( (unorthogonal_lines @ sk__1 @ X0)
% 6.53/1.53 | (unorthogonal_lines @
% 6.53/1.53 (orthogonal_through_point @
% 6.53/1.53 (orthogonal_through_point @ sk__1 @ sk_) @ sk_) @
% 6.53/1.53 X0)
% 6.53/1.53 | (apart_point_and_line @
% 6.53/1.53 (intersection_point @ sk__1 @
% 6.53/1.53 (orthogonal_through_point @
% 6.53/1.53 (orthogonal_through_point @ sk__1 @ sk_) @ sk_)) @
% 6.53/1.53 (orthogonal_through_point @
% 6.53/1.53 (orthogonal_through_point @ sk__1 @ sk_) @ sk_)))),
% 6.53/1.53 inference('demod', [status(thm)], [zip_derived_cl1218, zip_derived_cl2])).
% 6.53/1.53 thf(ci4, axiom,
% 6.53/1.53 (![X:$i,Y:$i]:
% 6.53/1.53 ( ( convergent_lines @ X @ Y ) =>
% 6.53/1.53 ( ~( apart_point_and_line @ ( intersection_point @ X @ Y ) @ Y ) ) ))).
% 6.53/1.53 thf(zip_derived_cl9, plain,
% 6.53/1.53 (![X0 : $i, X1 : $i]:
% 6.53/1.53 (~ (apart_point_and_line @ (intersection_point @ X0 @ X1) @ X1)
% 6.53/1.53 | ~ (convergent_lines @ X0 @ X1))),
% 6.53/1.53 inference('cnf', [status(esa)], [ci4])).
% 6.53/1.53 thf(zip_derived_cl1294, plain,
% 6.53/1.53 (![X0 : $i]:
% 6.53/1.53 ( (unorthogonal_lines @
% 6.53/1.53 (orthogonal_through_point @
% 6.53/1.53 (orthogonal_through_point @ sk__1 @ sk_) @ sk_) @
% 6.53/1.53 X0)
% 6.53/1.53 | (unorthogonal_lines @ sk__1 @ X0)
% 6.53/1.53 | ~ (convergent_lines @ sk__1 @
% 6.53/1.53 (orthogonal_through_point @
% 6.53/1.53 (orthogonal_through_point @ sk__1 @ sk_) @ sk_)))),
% 6.53/1.53 inference('s_sup-', [status(thm)], [zip_derived_cl1276, zip_derived_cl9])).
% 6.53/1.53 thf(zip_derived_cl26, plain,
% 6.53/1.53 ( (convergent_lines @ sk__1 @
% 6.53/1.53 (orthogonal_through_point @
% 6.53/1.53 (orthogonal_through_point @ sk__1 @ sk_) @ sk_))),
% 6.53/1.53 inference('cnf', [status(esa)], [zf_stmt_0])).
% 6.53/1.53 thf(zip_derived_cl1296, plain,
% 6.53/1.53 (![X0 : $i]:
% 6.53/1.53 ( (unorthogonal_lines @
% 6.53/1.53 (orthogonal_through_point @
% 6.53/1.53 (orthogonal_through_point @ sk__1 @ sk_) @ sk_) @
% 6.53/1.53 X0)
% 6.53/1.53 | (unorthogonal_lines @ sk__1 @ X0))),
% 6.53/1.53 inference('demod', [status(thm)], [zip_derived_cl1294, zip_derived_cl26])).
% 6.53/1.53 thf(ooc1, axiom,
% 6.53/1.53 (![A:$i,L:$i]:
% 6.53/1.53 ( ~( unorthogonal_lines @ ( orthogonal_through_point @ L @ A ) @ L ) ))).
% 6.53/1.53 thf(zip_derived_cl23, plain,
% 6.53/1.53 (![X0 : $i, X1 : $i]:
% 6.53/1.53 ~ (unorthogonal_lines @ (orthogonal_through_point @ X0 @ X1) @ X0)),
% 6.53/1.53 inference('cnf', [status(esa)], [ooc1])).
% 6.53/1.53 thf(zip_derived_cl1407, plain,
% 6.53/1.53 ( (unorthogonal_lines @ sk__1 @ (orthogonal_through_point @ sk__1 @ sk_))),
% 6.53/1.53 inference('s_sup-', [status(thm)], [zip_derived_cl1296, zip_derived_cl23])).
% 6.53/1.53 thf(occu1, axiom,
% 6.53/1.53 (![L:$i,M:$i]:
% 6.53/1.53 ( ( unorthogonal_lines @ L @ M ) | ( convergent_lines @ L @ M ) ))).
% 6.53/1.53 thf(zip_derived_cl17, plain,
% 6.53/1.53 (![X0 : $i, X1 : $i]:
% 6.53/1.53 ( (unorthogonal_lines @ X0 @ X1) | (convergent_lines @ X0 @ X1))),
% 6.53/1.53 inference('cnf', [status(esa)], [occu1])).
% 6.53/1.53 thf(zip_derived_cl23, plain,
% 6.53/1.53 (![X0 : $i, X1 : $i]:
% 6.53/1.53 ~ (unorthogonal_lines @ (orthogonal_through_point @ X0 @ X1) @ X0)),
% 6.53/1.53 inference('cnf', [status(esa)], [ooc1])).
% 6.53/1.53 thf(zip_derived_cl36, plain,
% 6.53/1.53 (![X0 : $i, X1 : $i]:
% 6.53/1.53 (convergent_lines @ (orthogonal_through_point @ X0 @ X1) @ X0)),
% 6.53/1.53 inference('s_sup-', [status(thm)], [zip_derived_cl17, zip_derived_cl23])).
% 6.53/1.53 thf(ax6, axiom,
% 6.53/1.53 (![X:$i,Y:$i,Z:$i]:
% 6.53/1.53 ( ( convergent_lines @ X @ Y ) =>
% 6.53/1.53 ( ( convergent_lines @ X @ Z ) | ( convergent_lines @ Y @ Z ) ) ))).
% 6.53/1.53 thf(zip_derived_cl5, plain,
% 6.53/1.53 (![X0 : $i, X1 : $i, X2 : $i]:
% 6.53/1.53 (~ (convergent_lines @ X0 @ X1)
% 6.53/1.53 | (convergent_lines @ X0 @ X2)
% 6.53/1.53 | (convergent_lines @ X1 @ X2))),
% 6.53/1.53 inference('cnf', [status(esa)], [ax6])).
% 6.53/1.53 thf(zip_derived_cl40, plain,
% 6.53/1.53 (![X0 : $i, X1 : $i, X2 : $i]:
% 6.53/1.53 ( (convergent_lines @ (orthogonal_through_point @ X0 @ X1) @ X2)
% 6.53/1.53 | (convergent_lines @ X0 @ X2))),
% 6.53/1.53 inference('s_sup-', [status(thm)], [zip_derived_cl36, zip_derived_cl5])).
% 6.53/1.53 thf(zip_derived_cl2, plain, (![X0 : $i]: ~ (convergent_lines @ X0 @ X0)),
% 6.53/1.53 inference('cnf', [status(esa)], [apart3])).
% 6.53/1.53 thf(zip_derived_cl45, plain,
% 6.53/1.53 (![X0 : $i, X1 : $i]:
% 6.53/1.53 (convergent_lines @ X1 @ (orthogonal_through_point @ X1 @ X0))),
% 6.53/1.53 inference('s_sup-', [status(thm)], [zip_derived_cl40, zip_derived_cl2])).
% 6.53/1.53 thf(oac1, axiom,
% 6.53/1.53 (![L:$i,M:$i,N:$i]:
% 6.53/1.53 ( ( ( unorthogonal_lines @ L @ M ) & ( convergent_lines @ L @ M ) ) =>
% 6.53/1.53 ( ( ( unorthogonal_lines @ M @ N ) & ( convergent_lines @ M @ N ) ) |
% 6.53/1.53 ( ( unorthogonal_lines @ L @ N ) & ( convergent_lines @ L @ N ) ) ) ))).
% 6.53/1.53 thf(zf_stmt_1, type, zip_tseitin_1 : $i > $i > $o).
% 6.53/1.53 thf(zf_stmt_2, axiom,
% 6.53/1.53 (![N:$i,L:$i]:
% 6.53/1.53 ( ( zip_tseitin_1 @ N @ L ) =>
% 6.53/1.53 ( ( convergent_lines @ L @ N ) & ( unorthogonal_lines @ L @ N ) ) ))).
% 6.53/1.53 thf(zf_stmt_3, type, zip_tseitin_0 : $i > $i > $o).
% 6.53/1.53 thf(zf_stmt_4, axiom,
% 6.53/1.53 (![N:$i,M:$i]:
% 6.53/1.53 ( ( zip_tseitin_0 @ N @ M ) =>
% 6.53/1.53 ( ( convergent_lines @ M @ N ) & ( unorthogonal_lines @ M @ N ) ) ))).
% 6.53/1.53 thf(zf_stmt_5, axiom,
% 6.53/1.53 (![L:$i,M:$i,N:$i]:
% 6.53/1.53 ( ( ( convergent_lines @ L @ M ) & ( unorthogonal_lines @ L @ M ) ) =>
% 6.53/1.53 ( ( zip_tseitin_1 @ N @ L ) | ( zip_tseitin_0 @ N @ M ) ) ))).
% 6.53/1.53 thf(zip_derived_cl22, plain,
% 6.53/1.53 (![X0 : $i, X1 : $i, X2 : $i]:
% 6.53/1.53 (~ (unorthogonal_lines @ X0 @ X1)
% 6.53/1.53 | ~ (convergent_lines @ X0 @ X1)
% 6.53/1.53 | (zip_tseitin_1 @ X2 @ X0)
% 6.53/1.53 | (zip_tseitin_0 @ X2 @ X1))),
% 6.53/1.53 inference('cnf', [status(esa)], [zf_stmt_5])).
% 6.53/1.53 thf(zip_derived_cl19, plain,
% 6.53/1.53 (![X0 : $i, X1 : $i]:
% 6.53/1.53 ( (unorthogonal_lines @ X0 @ X1) | ~ (zip_tseitin_0 @ X1 @ X0))),
% 6.53/1.53 inference('cnf', [status(esa)], [zf_stmt_4])).
% 6.53/1.53 thf(zip_derived_cl28, plain,
% 6.53/1.53 (![X0 : $i, X1 : $i, X2 : $i]:
% 6.53/1.53 ( (zip_tseitin_1 @ X0 @ X2)
% 6.53/1.53 | ~ (convergent_lines @ X2 @ X1)
% 6.53/1.53 | ~ (unorthogonal_lines @ X2 @ X1)
% 6.53/1.53 | (unorthogonal_lines @ X1 @ X0))),
% 6.53/1.53 inference('dp-resolution', [status(thm)],
% 6.53/1.53 [zip_derived_cl22, zip_derived_cl19])).
% 6.53/1.53 thf(zip_derived_cl88, plain,
% 6.53/1.53 (![X0 : $i, X1 : $i, X2 : $i]:
% 6.53/1.53 ( (zip_tseitin_1 @ X2 @ X1)
% 6.53/1.53 | ~ (unorthogonal_lines @ X1 @ (orthogonal_through_point @ X1 @ X0))
% 6.53/1.53 | (unorthogonal_lines @ (orthogonal_through_point @ X1 @ X0) @ X2))),
% 6.53/1.53 inference('s_sup-', [status(thm)], [zip_derived_cl45, zip_derived_cl28])).
% 6.53/1.53 thf(zip_derived_cl1415, plain,
% 6.53/1.53 (![X0 : $i]:
% 6.53/1.53 ( (zip_tseitin_1 @ X0 @ sk__1)
% 6.53/1.53 | (unorthogonal_lines @ (orthogonal_through_point @ sk__1 @ sk_) @
% 6.53/1.53 X0))),
% 6.53/1.53 inference('s_sup-', [status(thm)], [zip_derived_cl1407, zip_derived_cl88])).
% 6.53/1.53 thf(zip_derived_cl23, plain,
% 6.53/1.53 (![X0 : $i, X1 : $i]:
% 6.53/1.53 ~ (unorthogonal_lines @ (orthogonal_through_point @ X0 @ X1) @ X0)),
% 6.53/1.53 inference('cnf', [status(esa)], [ooc1])).
% 6.53/1.53 thf(zip_derived_cl1579, plain, ( (zip_tseitin_1 @ sk__1 @ sk__1)),
% 6.53/1.53 inference('s_sup-', [status(thm)], [zip_derived_cl1415, zip_derived_cl23])).
% 6.53/1.53 thf(zip_derived_cl20, plain,
% 6.53/1.53 (![X0 : $i, X1 : $i]:
% 6.53/1.53 ( (convergent_lines @ X0 @ X1) | ~ (zip_tseitin_1 @ X1 @ X0))),
% 6.53/1.53 inference('cnf', [status(esa)], [zf_stmt_2])).
% 6.53/1.53 thf(zip_derived_cl1582, plain, ( (convergent_lines @ sk__1 @ sk__1)),
% 6.53/1.53 inference('s_sup-', [status(thm)], [zip_derived_cl1579, zip_derived_cl20])).
% 6.53/1.53 thf(zip_derived_cl2, plain, (![X0 : $i]: ~ (convergent_lines @ X0 @ X0)),
% 6.53/1.53 inference('cnf', [status(esa)], [apart3])).
% 6.53/1.53 thf(zip_derived_cl1584, plain, ($false),
% 6.53/1.53 inference('s_sup-', [status(thm)], [zip_derived_cl1582, zip_derived_cl2])).
% 6.53/1.53
% 6.53/1.53 % SZS output end Refutation
% 6.53/1.53
% 6.53/1.53
% 6.53/1.53 % Terminating...
% 6.63/1.58 % Runner terminated.
% 6.63/1.59 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------