%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GEO221+3 : TPTP v9.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.L5wehHcAQN true
% Computer : n017.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 0.57s 0.91s
% Output : Refutation 0.57s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.01/0.12 % Problem : GEO221+3 : TPTP v9.2.0. Released v4.0.0.
% 0.12/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.L5wehHcAQN true
% 0.12/0.34 % Computer : n017.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Wed Oct 1 17:47:23 EDT 2025
% 0.12/0.34 % CPUTime :
% 0.12/0.34 % Running portfolio for 300 s
% 0.12/0.34 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.34 % Number of cores: 8
% 0.12/0.34 % Python version: Python 3.6.8
% 0.12/0.34 % Running in FO mode
% 0.50/0.63 % Total configuration time : 435
% 0.50/0.63 % Estimated wc time : 1092
% 0.50/0.63 % Estimated cpu time (7 cpus) : 156.0
% 0.56/0.79 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.56/0.84 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.57/0.86 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.57/0.86 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.57/0.86 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.57/0.88 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.57/0.91 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.57/0.91 % Solved by fo/fo6_bce.sh.
% 0.57/0.91 % BCE start: 50
% 0.57/0.91 % BCE eliminated: 0
% 0.57/0.91 % PE start: 50
% 0.57/0.91 logic: neq
% 0.57/0.91 % PE eliminated: 12
% 0.57/0.91 % done 96 iterations in 0.094s
% 0.57/0.91 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.57/0.91 % SZS output start Refutation
% 0.57/0.91 thf(zip_tseitin_1_type, type, zip_tseitin_1: $i > $i > $o).
% 0.57/0.91 thf(distinct_lines_type, type, distinct_lines: $i > $i > $o).
% 0.57/0.91 thf(orthogonal_through_point_type, type, orthogonal_through_point: $i > $i > $i).
% 0.57/0.91 thf(equal_lines_type, type, equal_lines: $i > $i > $o).
% 0.57/0.91 thf(zip_tseitin_0_type, type, zip_tseitin_0: $i > $i > $o).
% 0.57/0.91 thf(incident_point_and_line_type, type, incident_point_and_line: $i > $i > $o).
% 0.57/0.91 thf(unorthogonal_lines_type, type, unorthogonal_lines: $i > $i > $o).
% 0.57/0.91 thf(convergent_lines_type, type, convergent_lines: $i > $i > $o).
% 0.57/0.91 thf(sk__1_type, type, sk__1: $i).
% 0.57/0.91 thf(sk__type, type, sk_: $i).
% 0.57/0.91 thf(sk__2_type, type, sk__2: $i).
% 0.57/0.91 thf(occu1, axiom,
% 0.57/0.91 (![L:$i,M:$i]:
% 0.57/0.91 ( ( unorthogonal_lines @ L @ M ) | ( convergent_lines @ L @ M ) ))).
% 0.57/0.91 thf(zip_derived_cl18, plain,
% 0.57/0.91 (![X0 : $i, X1 : $i]:
% 0.57/0.91 ( (unorthogonal_lines @ X0 @ X1) | (convergent_lines @ X0 @ X1))),
% 0.57/0.91 inference('cnf', [status(esa)], [occu1])).
% 0.57/0.91 thf(ooc1, axiom,
% 0.57/0.91 (![A:$i,L:$i]:
% 0.57/0.91 ( ~( unorthogonal_lines @ ( orthogonal_through_point @ L @ A ) @ L ) ))).
% 0.57/0.91 thf(zip_derived_cl24, plain,
% 0.57/0.91 (![X0 : $i, X1 : $i]:
% 0.57/0.91 ~ (unorthogonal_lines @ (orthogonal_through_point @ X0 @ X1) @ X0)),
% 0.57/0.91 inference('cnf', [status(esa)], [ooc1])).
% 0.57/0.91 thf(zip_derived_cl77, plain,
% 0.57/0.91 (![X0 : $i, X1 : $i]:
% 0.57/0.91 (convergent_lines @ (orthogonal_through_point @ X0 @ X1) @ X0)),
% 0.57/0.91 inference('s_sup-', [status(thm)], [zip_derived_cl18, zip_derived_cl24])).
% 0.57/0.91 thf(ax6, axiom,
% 0.57/0.91 (![X:$i,Y:$i,Z:$i]:
% 0.57/0.91 ( ( convergent_lines @ X @ Y ) =>
% 0.57/0.91 ( ( convergent_lines @ X @ Z ) | ( convergent_lines @ Y @ Z ) ) ))).
% 0.57/0.91 thf(zip_derived_cl5, plain,
% 0.57/0.91 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.57/0.91 (~ (convergent_lines @ X0 @ X1)
% 0.57/0.91 | (convergent_lines @ X0 @ X2)
% 0.57/0.91 | (convergent_lines @ X1 @ X2))),
% 0.57/0.91 inference('cnf', [status(esa)], [ax6])).
% 0.57/0.91 thf(zip_derived_cl83, plain,
% 0.57/0.91 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.57/0.91 ( (convergent_lines @ (orthogonal_through_point @ X0 @ X1) @ X2)
% 0.57/0.91 | (convergent_lines @ X0 @ X2))),
% 0.57/0.91 inference('s_sup-', [status(thm)], [zip_derived_cl77, zip_derived_cl5])).
% 0.57/0.91 thf(apart3, axiom, (![X:$i]: ( ~( convergent_lines @ X @ X ) ))).
% 0.57/0.91 thf(zip_derived_cl2, plain, (![X0 : $i]: ~ (convergent_lines @ X0 @ X0)),
% 0.57/0.91 inference('cnf', [status(esa)], [apart3])).
% 0.57/0.91 thf(zip_derived_cl87, plain,
% 0.57/0.91 (![X0 : $i, X1 : $i]:
% 0.57/0.91 (convergent_lines @ X1 @ (orthogonal_through_point @ X1 @ X0))),
% 0.57/0.91 inference('s_sup-', [status(thm)], [zip_derived_cl83, zip_derived_cl2])).
% 0.57/0.91 thf(couo1, axiom,
% 0.57/0.91 (![L:$i,M:$i,N:$i]:
% 0.57/0.91 ( ( ( ~( unorthogonal_lines @ L @ M ) ) &
% 0.57/0.91 ( ~( unorthogonal_lines @ L @ N ) ) ) =>
% 0.57/0.91 ( ~( convergent_lines @ M @ N ) ) ))).
% 0.57/0.91 thf(zip_derived_cl33, plain,
% 0.57/0.91 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.57/0.91 ( (unorthogonal_lines @ X0 @ X1)
% 0.57/0.91 | (unorthogonal_lines @ X0 @ X2)
% 0.57/0.91 | ~ (convergent_lines @ X1 @ X2))),
% 0.57/0.91 inference('cnf', [status(esa)], [couo1])).
% 0.57/0.91 thf(zip_derived_cl101, plain,
% 0.57/0.91 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.57/0.91 ( (unorthogonal_lines @ X2 @ X1)
% 0.57/0.91 | (unorthogonal_lines @ X2 @ (orthogonal_through_point @ X1 @ X0)))),
% 0.57/0.91 inference('s_sup-', [status(thm)], [zip_derived_cl87, zip_derived_cl33])).
% 0.57/0.91 thf(ax2, axiom,
% 0.57/0.91 (![X:$i,Y:$i]:
% 0.57/0.91 ( ( equal_lines @ X @ Y ) <=> ( ~( distinct_lines @ X @ Y ) ) ))).
% 0.57/0.91 thf(zip_derived_cl41, plain,
% 0.57/0.91 (![X0 : $i, X1 : $i]:
% 0.57/0.91 ( (equal_lines @ X0 @ X1) | (distinct_lines @ X0 @ X1))),
% 0.57/0.91 inference('cnf', [status(esa)], [ax2])).
% 0.57/0.91 thf(con, conjecture,
% 0.57/0.91 (![A:$i,B:$i,L:$i]:
% 0.57/0.91 ( ( incident_point_and_line @ B @ ( orthogonal_through_point @ L @ A ) ) =>
% 0.57/0.91 ( equal_lines @
% 0.57/0.91 ( orthogonal_through_point @ L @ A ) @
% 0.57/0.91 ( orthogonal_through_point @ L @ B ) ) ))).
% 0.57/0.91 thf(zf_stmt_0, negated_conjecture,
% 0.57/0.91 (~( ![A:$i,B:$i,L:$i]:
% 0.57/0.91 ( ( incident_point_and_line @ B @ ( orthogonal_through_point @ L @ A ) ) =>
% 0.57/0.91 ( equal_lines @
% 0.57/0.91 ( orthogonal_through_point @ L @ A ) @
% 0.57/0.91 ( orthogonal_through_point @ L @ B ) ) ) )),
% 0.57/0.91 inference('cnf.neg', [status(esa)], [con])).
% 0.57/0.91 thf(zip_derived_cl49, plain,
% 0.57/0.91 (~ (equal_lines @ (orthogonal_through_point @ sk__2 @ sk_) @
% 0.57/0.91 (orthogonal_through_point @ sk__2 @ sk__1))),
% 0.57/0.91 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.57/0.91 thf(zip_derived_cl59, plain,
% 0.57/0.91 ( (distinct_lines @ (orthogonal_through_point @ sk__2 @ sk_) @
% 0.57/0.91 (orthogonal_through_point @ sk__2 @ sk__1))),
% 0.57/0.91 inference('dp-resolution', [status(thm)],
% 0.57/0.91 [zip_derived_cl41, zip_derived_cl49])).
% 0.57/0.91 thf(p1, axiom,
% 0.57/0.91 (![X:$i,Y:$i]:
% 0.57/0.91 ( ( distinct_lines @ X @ Y ) => ( convergent_lines @ X @ Y ) ))).
% 0.57/0.91 thf(zip_derived_cl14, plain,
% 0.57/0.91 (![X0 : $i, X1 : $i]:
% 0.57/0.91 ( (convergent_lines @ X0 @ X1) | ~ (distinct_lines @ X0 @ X1))),
% 0.57/0.91 inference('cnf', [status(esa)], [p1])).
% 0.57/0.91 thf(zip_derived_cl82, plain,
% 0.57/0.91 ( (convergent_lines @ (orthogonal_through_point @ sk__2 @ sk_) @
% 0.57/0.91 (orthogonal_through_point @ sk__2 @ sk__1))),
% 0.57/0.91 inference('s_sup-', [status(thm)], [zip_derived_cl59, zip_derived_cl14])).
% 0.57/0.91 thf(oac1, axiom,
% 0.57/0.91 (![L:$i,M:$i,N:$i]:
% 0.57/0.91 ( ( ( unorthogonal_lines @ L @ M ) & ( convergent_lines @ L @ M ) ) =>
% 0.57/0.91 ( ( ( unorthogonal_lines @ M @ N ) & ( convergent_lines @ M @ N ) ) |
% 0.57/0.91 ( ( unorthogonal_lines @ L @ N ) & ( convergent_lines @ L @ N ) ) ) ))).
% 0.57/0.91 thf(zf_stmt_1, type, zip_tseitin_1 : $i > $i > $o).
% 0.57/0.91 thf(zf_stmt_2, axiom,
% 0.57/0.91 (![N:$i,L:$i]:
% 0.57/0.91 ( ( zip_tseitin_1 @ N @ L ) =>
% 0.57/0.91 ( ( convergent_lines @ L @ N ) & ( unorthogonal_lines @ L @ N ) ) ))).
% 0.57/0.91 thf(zf_stmt_3, type, zip_tseitin_0 : $i > $i > $o).
% 0.57/0.91 thf(zf_stmt_4, axiom,
% 0.57/0.91 (![N:$i,M:$i]:
% 0.57/0.91 ( ( zip_tseitin_0 @ N @ M ) =>
% 0.57/0.91 ( ( convergent_lines @ M @ N ) & ( unorthogonal_lines @ M @ N ) ) ))).
% 0.57/0.91 thf(zf_stmt_5, axiom,
% 0.57/0.91 (![L:$i,M:$i,N:$i]:
% 0.57/0.91 ( ( ( convergent_lines @ L @ M ) & ( unorthogonal_lines @ L @ M ) ) =>
% 0.57/0.91 ( ( zip_tseitin_1 @ N @ L ) | ( zip_tseitin_0 @ N @ M ) ) ))).
% 0.57/0.91 thf(zip_derived_cl23, plain,
% 0.57/0.91 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.57/0.91 (~ (unorthogonal_lines @ X0 @ X1)
% 0.57/0.91 | ~ (convergent_lines @ X0 @ X1)
% 0.57/0.91 | (zip_tseitin_1 @ X2 @ X0)
% 0.57/0.91 | (zip_tseitin_0 @ X2 @ X1))),
% 0.57/0.91 inference('cnf', [status(esa)], [zf_stmt_5])).
% 0.57/0.91 thf(zip_derived_cl20, plain,
% 0.57/0.91 (![X0 : $i, X1 : $i]:
% 0.57/0.91 ( (unorthogonal_lines @ X0 @ X1) | ~ (zip_tseitin_0 @ X1 @ X0))),
% 0.57/0.91 inference('cnf', [status(esa)], [zf_stmt_4])).
% 0.57/0.91 thf(zip_derived_cl63, plain,
% 0.57/0.91 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.57/0.91 ( (zip_tseitin_1 @ X0 @ X2)
% 0.57/0.91 | ~ (convergent_lines @ X2 @ X1)
% 0.57/0.91 | ~ (unorthogonal_lines @ X2 @ X1)
% 0.57/0.91 | (unorthogonal_lines @ X1 @ X0))),
% 0.57/0.91 inference('dp-resolution', [status(thm)],
% 0.57/0.91 [zip_derived_cl23, zip_derived_cl20])).
% 0.57/0.91 thf(zip_derived_cl148, plain,
% 0.57/0.91 (![X0 : $i]:
% 0.57/0.91 ( (zip_tseitin_1 @ X0 @ (orthogonal_through_point @ sk__2 @ sk_))
% 0.57/0.91 | ~ (unorthogonal_lines @ (orthogonal_through_point @ sk__2 @ sk_) @
% 0.57/0.91 (orthogonal_through_point @ sk__2 @ sk__1))
% 0.57/0.91 | (unorthogonal_lines @
% 0.57/0.91 (orthogonal_through_point @ sk__2 @ sk__1) @ X0))),
% 0.57/0.91 inference('s_sup-', [status(thm)], [zip_derived_cl82, zip_derived_cl63])).
% 0.57/0.91 thf(zip_derived_cl159, plain,
% 0.57/0.91 (![X0 : $i]:
% 0.57/0.91 ( (unorthogonal_lines @ (orthogonal_through_point @ sk__2 @ sk_) @
% 0.57/0.91 sk__2)
% 0.57/0.91 | (zip_tseitin_1 @ X0 @ (orthogonal_through_point @ sk__2 @ sk_))
% 0.57/0.91 | (unorthogonal_lines @
% 0.57/0.91 (orthogonal_through_point @ sk__2 @ sk__1) @ X0))),
% 0.57/0.91 inference('s_sup-', [status(thm)], [zip_derived_cl101, zip_derived_cl148])).
% 0.57/0.91 thf(zip_derived_cl24, plain,
% 0.57/0.91 (![X0 : $i, X1 : $i]:
% 0.57/0.91 ~ (unorthogonal_lines @ (orthogonal_through_point @ X0 @ X1) @ X0)),
% 0.57/0.91 inference('cnf', [status(esa)], [ooc1])).
% 0.57/0.91 thf(zip_derived_cl162, plain,
% 0.57/0.91 (![X0 : $i]:
% 0.57/0.91 ( (zip_tseitin_1 @ X0 @ (orthogonal_through_point @ sk__2 @ sk_))
% 0.57/0.91 | (unorthogonal_lines @
% 0.57/0.91 (orthogonal_through_point @ sk__2 @ sk__1) @ X0))),
% 0.57/0.91 inference('demod', [status(thm)], [zip_derived_cl159, zip_derived_cl24])).
% 0.57/0.91 thf(zip_derived_cl22, plain,
% 0.57/0.91 (![X0 : $i, X1 : $i]:
% 0.57/0.91 ( (unorthogonal_lines @ X0 @ X1) | ~ (zip_tseitin_1 @ X1 @ X0))),
% 0.57/0.91 inference('cnf', [status(esa)], [zf_stmt_2])).
% 0.57/0.91 thf(zip_derived_cl218, plain,
% 0.57/0.91 (![X0 : $i]:
% 0.57/0.91 ( (unorthogonal_lines @ (orthogonal_through_point @ sk__2 @ sk__1) @
% 0.57/0.91 X0)
% 0.57/0.91 | (unorthogonal_lines @ (orthogonal_through_point @ sk__2 @ sk_) @
% 0.57/0.91 X0))),
% 0.57/0.91 inference('s_sup-', [status(thm)], [zip_derived_cl162, zip_derived_cl22])).
% 0.57/0.91 thf(zip_derived_cl24, plain,
% 0.57/0.91 (![X0 : $i, X1 : $i]:
% 0.57/0.91 ~ (unorthogonal_lines @ (orthogonal_through_point @ X0 @ X1) @ X0)),
% 0.57/0.91 inference('cnf', [status(esa)], [ooc1])).
% 0.57/0.91 thf(zip_derived_cl320, plain,
% 0.57/0.91 ( (unorthogonal_lines @ (orthogonal_through_point @ sk__2 @ sk_) @ sk__2)),
% 0.57/0.91 inference('s_sup-', [status(thm)], [zip_derived_cl218, zip_derived_cl24])).
% 0.57/0.91 thf(zip_derived_cl24, plain,
% 0.57/0.91 (![X0 : $i, X1 : $i]:
% 0.57/0.91 ~ (unorthogonal_lines @ (orthogonal_through_point @ X0 @ X1) @ X0)),
% 0.57/0.91 inference('cnf', [status(esa)], [ooc1])).
% 0.57/0.91 thf(zip_derived_cl323, plain, ($false),
% 0.57/0.91 inference('s_sup-', [status(thm)], [zip_derived_cl320, zip_derived_cl24])).
% 0.57/0.91
% 0.57/0.91 % SZS output end Refutation
% 0.57/0.91
% 0.57/0.91
% 0.57/0.91 % Terminating...
% 1.57/1.07 % Runner terminated.
% 1.57/1.09 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------