%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GEO222+3 : TPTP v9.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.buseORPQgo true
% Computer : n011.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 0.49s 0.82s
% Output : Refutation 0.49s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : GEO222+3 : TPTP v9.2.0. Released v4.0.0.
% 0.06/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.buseORPQgo true
% 0.12/0.35 % Computer : n011.cluster.edu
% 0.12/0.35 % Model : x86_64 x86_64
% 0.12/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.35 % Memory : 8042.1875MB
% 0.12/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.35 % CPULimit : 300
% 0.12/0.35 % WCLimit : 300
% 0.12/0.35 % DateTime : Wed Oct 1 17:26:38 EDT 2025
% 0.12/0.35 % CPUTime :
% 0.12/0.35 % Running portfolio for 300 s
% 0.12/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.35 % Number of cores: 8
% 0.12/0.35 % Python version: Python 3.6.8
% 0.12/0.35 % Running in FO mode
% 0.41/0.58 % Total configuration time : 435
% 0.41/0.58 % Estimated wc time : 1092
% 0.41/0.58 % Estimated cpu time (7 cpus) : 156.0
% 0.47/0.66 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.47/0.70 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.47/0.70 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.47/0.71 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.47/0.71 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.47/0.71 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.47/0.71 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.47/0.75 % /export/starexec/sandbox/solver/bin/fo/fo1_lcnf.sh running for 50s
% 0.49/0.82 % Solved by fo/fo6_bce.sh.
% 0.49/0.82 % BCE start: 49
% 0.49/0.82 % BCE eliminated: 0
% 0.49/0.82 % PE start: 49
% 0.49/0.82 logic: neq
% 0.49/0.82 % PE eliminated: 12
% 0.49/0.82 % done 95 iterations in 0.136s
% 0.49/0.82 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.49/0.82 % SZS output start Refutation
% 0.49/0.82 thf(sk__type, type, sk_: $i).
% 0.49/0.82 thf(zip_tseitin_3_type, type, zip_tseitin_3: $i > $i > $o).
% 0.49/0.82 thf(parallel_lines_type, type, parallel_lines: $i > $i > $o).
% 0.49/0.82 thf(orthogonal_through_point_type, type, orthogonal_through_point: $i > $i > $i).
% 0.49/0.82 thf(zip_tseitin_2_type, type, zip_tseitin_2: $i > $i > $o).
% 0.49/0.82 thf(sk__1_type, type, sk__1: $i).
% 0.49/0.82 thf(unorthogonal_lines_type, type, unorthogonal_lines: $i > $i > $o).
% 0.49/0.82 thf(convergent_lines_type, type, convergent_lines: $i > $i > $o).
% 0.49/0.82 thf(cotno1, axiom,
% 0.49/0.82 (![L:$i,M:$i,N:$i]:
% 0.49/0.82 ( ( ( ( ~( unorthogonal_lines @ L @ N ) ) |
% 0.49/0.82 ( ~( convergent_lines @ L @ N ) ) ) &
% 0.49/0.82 ( ( ~( unorthogonal_lines @ L @ M ) ) |
% 0.49/0.82 ( ~( convergent_lines @ L @ M ) ) ) ) =>
% 0.49/0.82 ( ( ~( unorthogonal_lines @ M @ N ) ) |
% 0.49/0.82 ( ~( convergent_lines @ M @ N ) ) ) ))).
% 0.49/0.82 thf(zf_stmt_0, axiom,
% 0.49/0.82 (![M:$i,L:$i]:
% 0.49/0.82 ( ( ( ~( convergent_lines @ L @ M ) ) |
% 0.49/0.82 ( ~( unorthogonal_lines @ L @ M ) ) ) =>
% 0.49/0.82 ( zip_tseitin_3 @ M @ L ) ))).
% 0.49/0.82 thf(zip_derived_cl31, plain,
% 0.49/0.82 (![X0 : $i, X1 : $i]:
% 0.49/0.82 ( (zip_tseitin_3 @ X0 @ X1) | (unorthogonal_lines @ X1 @ X0))),
% 0.49/0.82 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.49/0.82 thf(occu1, axiom,
% 0.49/0.82 (![L:$i,M:$i]:
% 0.49/0.82 ( ( unorthogonal_lines @ L @ M ) | ( convergent_lines @ L @ M ) ))).
% 0.49/0.82 thf(zip_derived_cl18, plain,
% 0.49/0.82 (![X0 : $i, X1 : $i]:
% 0.49/0.82 ( (unorthogonal_lines @ X0 @ X1) | (convergent_lines @ X0 @ X1))),
% 0.49/0.82 inference('cnf', [status(esa)], [occu1])).
% 0.49/0.82 thf(ooc1, axiom,
% 0.49/0.82 (![A:$i,L:$i]:
% 0.49/0.82 ( ~( unorthogonal_lines @ ( orthogonal_through_point @ L @ A ) @ L ) ))).
% 0.49/0.82 thf(zip_derived_cl24, plain,
% 0.49/0.82 (![X0 : $i, X1 : $i]:
% 0.49/0.82 ~ (unorthogonal_lines @ (orthogonal_through_point @ X0 @ X1) @ X0)),
% 0.49/0.82 inference('cnf', [status(esa)], [ooc1])).
% 0.49/0.82 thf(zip_derived_cl75, plain,
% 0.49/0.82 (![X0 : $i, X1 : $i]:
% 0.49/0.82 (convergent_lines @ (orthogonal_through_point @ X0 @ X1) @ X0)),
% 0.49/0.82 inference('s_sup-', [status(thm)], [zip_derived_cl18, zip_derived_cl24])).
% 0.49/0.82 thf(ax6, axiom,
% 0.49/0.82 (![X:$i,Y:$i,Z:$i]:
% 0.49/0.82 ( ( convergent_lines @ X @ Y ) =>
% 0.49/0.82 ( ( convergent_lines @ X @ Z ) | ( convergent_lines @ Y @ Z ) ) ))).
% 0.49/0.82 thf(zip_derived_cl5, plain,
% 0.49/0.82 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.49/0.82 (~ (convergent_lines @ X0 @ X1)
% 0.49/0.82 | (convergent_lines @ X0 @ X2)
% 0.49/0.82 | (convergent_lines @ X1 @ X2))),
% 0.49/0.82 inference('cnf', [status(esa)], [ax6])).
% 0.49/0.82 thf(zip_derived_cl79, plain,
% 0.49/0.82 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.49/0.82 ( (convergent_lines @ (orthogonal_through_point @ X0 @ X1) @ X2)
% 0.49/0.82 | (convergent_lines @ X0 @ X2))),
% 0.49/0.82 inference('s_sup-', [status(thm)], [zip_derived_cl75, zip_derived_cl5])).
% 0.49/0.82 thf(apart3, axiom, (![X:$i]: ( ~( convergent_lines @ X @ X ) ))).
% 0.49/0.82 thf(zip_derived_cl2, plain, (![X0 : $i]: ~ (convergent_lines @ X0 @ X0)),
% 0.49/0.82 inference('cnf', [status(esa)], [apart3])).
% 0.49/0.82 thf(zip_derived_cl84, plain,
% 0.49/0.82 (![X0 : $i, X1 : $i]:
% 0.49/0.82 (convergent_lines @ X1 @ (orthogonal_through_point @ X1 @ X0))),
% 0.49/0.82 inference('s_sup-', [status(thm)], [zip_derived_cl79, zip_derived_cl2])).
% 0.49/0.82 thf(a3, axiom,
% 0.49/0.82 (![X:$i,Y:$i]:
% 0.49/0.82 ( ( parallel_lines @ X @ Y ) <=> ( ~( convergent_lines @ X @ Y ) ) ))).
% 0.49/0.82 thf(zip_derived_cl43, plain,
% 0.49/0.82 (![X0 : $i, X1 : $i]:
% 0.49/0.82 ( (parallel_lines @ X0 @ X1) | (convergent_lines @ X0 @ X1))),
% 0.49/0.82 inference('cnf', [status(esa)], [a3])).
% 0.49/0.82 thf(con, conjecture,
% 0.49/0.82 (![A:$i,L:$i]:
% 0.49/0.82 ( parallel_lines @
% 0.49/0.82 L @
% 0.49/0.82 ( orthogonal_through_point @ ( orthogonal_through_point @ L @ A ) @ A ) ))).
% 0.49/0.82 thf(zf_stmt_1, negated_conjecture,
% 0.49/0.82 (~( ![A:$i,L:$i]:
% 0.49/0.82 ( parallel_lines @
% 0.49/0.82 L @
% 0.49/0.82 ( orthogonal_through_point @ ( orthogonal_through_point @ L @ A ) @ A ) ) )),
% 0.49/0.82 inference('cnf.neg', [status(esa)], [con])).
% 0.49/0.82 thf(zip_derived_cl48, plain,
% 0.49/0.82 (~ (parallel_lines @ sk__1 @
% 0.49/0.82 (orthogonal_through_point @
% 0.49/0.82 (orthogonal_through_point @ sk__1 @ sk_) @ sk_))),
% 0.49/0.82 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.49/0.82 thf(zip_derived_cl59, plain,
% 0.49/0.82 ( (convergent_lines @ sk__1 @
% 0.49/0.82 (orthogonal_through_point @
% 0.49/0.82 (orthogonal_through_point @ sk__1 @ sk_) @ sk_))),
% 0.49/0.82 inference('dp-resolution', [status(thm)],
% 0.49/0.82 [zip_derived_cl43, zip_derived_cl48])).
% 0.49/0.82 thf(couo1, axiom,
% 0.49/0.82 (![L:$i,M:$i,N:$i]:
% 0.49/0.82 ( ( ( ~( unorthogonal_lines @ L @ M ) ) &
% 0.49/0.82 ( ~( unorthogonal_lines @ L @ N ) ) ) =>
% 0.49/0.82 ( ~( convergent_lines @ M @ N ) ) ))).
% 0.49/0.82 thf(zip_derived_cl33, plain,
% 0.49/0.82 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.49/0.82 ( (unorthogonal_lines @ X0 @ X1)
% 0.49/0.82 | (unorthogonal_lines @ X0 @ X2)
% 0.49/0.82 | ~ (convergent_lines @ X1 @ X2))),
% 0.49/0.82 inference('cnf', [status(esa)], [couo1])).
% 0.49/0.82 thf(zip_derived_cl118, plain,
% 0.49/0.82 (![X0 : $i]:
% 0.49/0.82 ( (unorthogonal_lines @ X0 @ sk__1)
% 0.49/0.82 | (unorthogonal_lines @ X0 @
% 0.49/0.82 (orthogonal_through_point @
% 0.49/0.82 (orthogonal_through_point @ sk__1 @ sk_) @ sk_)))),
% 0.49/0.82 inference('s_sup-', [status(thm)], [zip_derived_cl59, zip_derived_cl33])).
% 0.49/0.82 thf(zf_stmt_2, axiom,
% 0.49/0.82 (![N:$i,L:$i]:
% 0.49/0.82 ( ( ( ~( convergent_lines @ L @ N ) ) |
% 0.49/0.82 ( ~( unorthogonal_lines @ L @ N ) ) ) =>
% 0.49/0.82 ( zip_tseitin_2 @ N @ L ) ))).
% 0.49/0.82 thf(zip_derived_cl28, plain,
% 0.49/0.82 (![X0 : $i, X1 : $i]:
% 0.49/0.82 ( (zip_tseitin_2 @ X0 @ X1) | (convergent_lines @ X1 @ X0))),
% 0.49/0.82 inference('cnf', [status(esa)], [zf_stmt_2])).
% 0.49/0.82 thf(zf_stmt_3, type, zip_tseitin_3 : $i > $i > $o).
% 0.49/0.82 thf(zf_stmt_4, type, zip_tseitin_2 : $i > $i > $o).
% 0.49/0.82 thf(zf_stmt_5, axiom,
% 0.49/0.82 (![L:$i,M:$i,N:$i]:
% 0.49/0.82 ( ( ( zip_tseitin_3 @ M @ L ) & ( zip_tseitin_2 @ N @ L ) ) =>
% 0.49/0.82 ( ( ~( convergent_lines @ M @ N ) ) |
% 0.49/0.82 ( ~( unorthogonal_lines @ M @ N ) ) ) ))).
% 0.49/0.82 thf(zip_derived_cl32, plain,
% 0.49/0.82 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.49/0.82 (~ (zip_tseitin_3 @ X0 @ X1)
% 0.49/0.82 | ~ (zip_tseitin_2 @ X2 @ X1)
% 0.49/0.82 | ~ (convergent_lines @ X0 @ X2)
% 0.49/0.82 | ~ (unorthogonal_lines @ X0 @ X2))),
% 0.49/0.82 inference('cnf', [status(esa)], [zf_stmt_5])).
% 0.49/0.82 thf(zip_derived_cl62, plain,
% 0.49/0.82 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.49/0.82 ( (convergent_lines @ X2 @ X0)
% 0.49/0.82 | ~ (unorthogonal_lines @ X1 @ X0)
% 0.49/0.82 | ~ (convergent_lines @ X1 @ X0)
% 0.49/0.82 | ~ (zip_tseitin_3 @ X1 @ X2))),
% 0.49/0.82 inference('dp-resolution', [status(thm)],
% 0.49/0.82 [zip_derived_cl28, zip_derived_cl32])).
% 0.49/0.82 thf(zip_derived_cl132, plain,
% 0.49/0.82 (![X0 : $i, X1 : $i]:
% 0.49/0.82 ( (unorthogonal_lines @ X0 @ sk__1)
% 0.49/0.82 | (convergent_lines @ X1 @
% 0.49/0.82 (orthogonal_through_point @
% 0.49/0.82 (orthogonal_through_point @ sk__1 @ sk_) @ sk_))
% 0.49/0.82 | ~ (convergent_lines @ X0 @
% 0.49/0.82 (orthogonal_through_point @
% 0.49/0.82 (orthogonal_through_point @ sk__1 @ sk_) @ sk_))
% 0.49/0.82 | ~ (zip_tseitin_3 @ X0 @ X1))),
% 0.49/0.82 inference('s_sup-', [status(thm)], [zip_derived_cl118, zip_derived_cl62])).
% 0.49/0.82 thf(zip_derived_cl328, plain,
% 0.49/0.82 (![X0 : $i]:
% 0.49/0.82 ( (unorthogonal_lines @ (orthogonal_through_point @ sk__1 @ sk_) @
% 0.49/0.82 sk__1)
% 0.49/0.82 | (convergent_lines @ X0 @
% 0.49/0.82 (orthogonal_through_point @
% 0.49/0.82 (orthogonal_through_point @ sk__1 @ sk_) @ sk_))
% 0.49/0.82 | ~ (zip_tseitin_3 @ (orthogonal_through_point @ sk__1 @ sk_) @ X0))),
% 0.49/0.82 inference('s_sup-', [status(thm)], [zip_derived_cl84, zip_derived_cl132])).
% 0.49/0.82 thf(zip_derived_cl24, plain,
% 0.49/0.82 (![X0 : $i, X1 : $i]:
% 0.49/0.82 ~ (unorthogonal_lines @ (orthogonal_through_point @ X0 @ X1) @ X0)),
% 0.49/0.82 inference('cnf', [status(esa)], [ooc1])).
% 0.49/0.82 thf(zip_derived_cl339, plain,
% 0.49/0.82 (![X0 : $i]:
% 0.49/0.82 ( (convergent_lines @ X0 @
% 0.49/0.82 (orthogonal_through_point @
% 0.49/0.82 (orthogonal_through_point @ sk__1 @ sk_) @ sk_))
% 0.49/0.82 | ~ (zip_tseitin_3 @ (orthogonal_through_point @ sk__1 @ sk_) @ X0))),
% 0.49/0.82 inference('demod', [status(thm)], [zip_derived_cl328, zip_derived_cl24])).
% 0.49/0.82 thf(zip_derived_cl2, plain, (![X0 : $i]: ~ (convergent_lines @ X0 @ X0)),
% 0.49/0.82 inference('cnf', [status(esa)], [apart3])).
% 0.49/0.82 thf(zip_derived_cl347, plain,
% 0.49/0.82 (~ (zip_tseitin_3 @ (orthogonal_through_point @ sk__1 @ sk_) @
% 0.49/0.82 (orthogonal_through_point @
% 0.49/0.82 (orthogonal_through_point @ sk__1 @ sk_) @ sk_))),
% 0.49/0.82 inference('s_sup-', [status(thm)], [zip_derived_cl339, zip_derived_cl2])).
% 0.49/0.82 thf(zip_derived_cl358, plain,
% 0.49/0.82 ( (unorthogonal_lines @
% 0.49/0.82 (orthogonal_through_point @
% 0.49/0.82 (orthogonal_through_point @ sk__1 @ sk_) @ sk_) @
% 0.49/0.82 (orthogonal_through_point @ sk__1 @ sk_))),
% 0.49/0.82 inference('s_sup-', [status(thm)], [zip_derived_cl31, zip_derived_cl347])).
% 0.49/0.82 thf(zip_derived_cl24, plain,
% 0.49/0.82 (![X0 : $i, X1 : $i]:
% 0.49/0.82 ~ (unorthogonal_lines @ (orthogonal_through_point @ X0 @ X1) @ X0)),
% 0.49/0.82 inference('cnf', [status(esa)], [ooc1])).
% 0.49/0.82 thf(zip_derived_cl413, plain, ($false),
% 0.49/0.82 inference('s_sup-', [status(thm)], [zip_derived_cl358, zip_derived_cl24])).
% 0.49/0.82
% 0.49/0.82 % SZS output end Refutation
% 0.49/0.82
% 0.49/0.82
% 0.49/0.82 % Terminating...
% 0.50/0.91 % Runner terminated.
% 1.71/0.92 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------