%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GEO214+2 : 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.glgvEHVdxc true
% Computer : n018.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 04:34:20 PM UTC 2025
% Result : Theorem 0.55s 0.75s
% Output : Refutation 0.55s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GEO214+2 : TPTP v9.2.0. Released v3.3.0.
% 0.11/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.glgvEHVdxc true
% 0.12/0.34 % Computer : n018.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 17:44:38 EDT 2025
% 0.12/0.34 % CPUTime :
% 0.12/0.34 % Running portfolio for 300 s
% 0.12/0.34 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.34 % Number of cores: 8
% 0.12/0.35 % Python version: Python 3.6.8
% 0.12/0.35 % Running in FO mode
% 0.55/0.63 % Total configuration time : 435
% 0.55/0.63 % Estimated wc time : 1092
% 0.55/0.63 % Estimated cpu time (7 cpus) : 156.0
% 0.55/0.70 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.55/0.71 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.55/0.75 % Solved by fo/fo3_bce.sh.
% 0.55/0.75 % BCE start: 28
% 0.55/0.75 % BCE eliminated: 0
% 0.55/0.75 % PE start: 28
% 0.55/0.75 logic: neq
% 0.55/0.75 % PE eliminated: 1
% 0.55/0.75 % done 67 iterations in 0.026s
% 0.55/0.75 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.55/0.75 % SZS output start Refutation
% 0.55/0.75 thf(unorthogonal_lines_type, type, unorthogonal_lines: $i > $i > $o).
% 0.55/0.75 thf(sk__type, type, sk_: $i).
% 0.55/0.75 thf(sk__1_type, type, sk__1: $i).
% 0.55/0.75 thf(zip_tseitin_1_type, type, zip_tseitin_1: $i > $i > $o).
% 0.55/0.75 thf(zip_tseitin_0_type, type, zip_tseitin_0: $i > $i > $o).
% 0.55/0.75 thf(convergent_lines_type, type, convergent_lines: $i > $i > $o).
% 0.55/0.75 thf(con, conjecture,
% 0.55/0.75 (![L:$i,M:$i]:
% 0.55/0.75 ( ( unorthogonal_lines @ L @ M ) => ( unorthogonal_lines @ M @ L ) ))).
% 0.55/0.75 thf(zf_stmt_0, negated_conjecture,
% 0.55/0.75 (~( ![L:$i,M:$i]:
% 0.55/0.75 ( ( unorthogonal_lines @ L @ M ) => ( unorthogonal_lines @ M @ L ) ) )),
% 0.55/0.75 inference('cnf.neg', [status(esa)], [con])).
% 0.55/0.75 thf(zip_derived_cl26, plain, ( (unorthogonal_lines @ sk_ @ sk__1)),
% 0.55/0.75 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.55/0.75 thf(oac1, axiom,
% 0.55/0.75 (![L:$i,M:$i,N:$i]:
% 0.55/0.75 ( ( ( unorthogonal_lines @ L @ M ) & ( convergent_lines @ L @ M ) ) =>
% 0.55/0.75 ( ( ( unorthogonal_lines @ M @ N ) & ( convergent_lines @ M @ N ) ) |
% 0.55/0.75 ( ( unorthogonal_lines @ L @ N ) & ( convergent_lines @ L @ N ) ) ) ))).
% 0.55/0.75 thf(zf_stmt_1, type, zip_tseitin_1 : $i > $i > $o).
% 0.55/0.75 thf(zf_stmt_2, axiom,
% 0.55/0.75 (![N:$i,L:$i]:
% 0.55/0.75 ( ( zip_tseitin_1 @ N @ L ) =>
% 0.55/0.75 ( ( convergent_lines @ L @ N ) & ( unorthogonal_lines @ L @ N ) ) ))).
% 0.55/0.75 thf(zf_stmt_3, type, zip_tseitin_0 : $i > $i > $o).
% 0.55/0.75 thf(zf_stmt_4, axiom,
% 0.55/0.75 (![N:$i,M:$i]:
% 0.55/0.75 ( ( zip_tseitin_0 @ N @ M ) =>
% 0.55/0.75 ( ( convergent_lines @ M @ N ) & ( unorthogonal_lines @ M @ N ) ) ))).
% 0.55/0.75 thf(zf_stmt_5, axiom,
% 0.55/0.75 (![L:$i,M:$i,N:$i]:
% 0.55/0.75 ( ( ( convergent_lines @ L @ M ) & ( unorthogonal_lines @ L @ M ) ) =>
% 0.55/0.75 ( ( zip_tseitin_1 @ N @ L ) | ( zip_tseitin_0 @ N @ M ) ) ))).
% 0.55/0.75 thf(zip_derived_cl22, plain,
% 0.55/0.75 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.55/0.75 (~ (unorthogonal_lines @ X0 @ X1)
% 0.55/0.75 | ~ (convergent_lines @ X0 @ X1)
% 0.55/0.75 | (zip_tseitin_1 @ X2 @ X0)
% 0.55/0.75 | (zip_tseitin_0 @ X2 @ X1))),
% 0.55/0.75 inference('cnf', [status(esa)], [zf_stmt_5])).
% 0.55/0.75 thf(zip_derived_cl19, plain,
% 0.55/0.75 (![X0 : $i, X1 : $i]:
% 0.55/0.75 ( (unorthogonal_lines @ X0 @ X1) | ~ (zip_tseitin_0 @ X1 @ X0))),
% 0.55/0.75 inference('cnf', [status(esa)], [zf_stmt_4])).
% 0.55/0.75 thf(zip_derived_cl29, plain,
% 0.55/0.75 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.55/0.75 ( (zip_tseitin_1 @ X0 @ X2)
% 0.55/0.75 | ~ (convergent_lines @ X2 @ X1)
% 0.55/0.75 | ~ (unorthogonal_lines @ X2 @ X1)
% 0.55/0.75 | (unorthogonal_lines @ X1 @ X0))),
% 0.55/0.75 inference('dp-resolution', [status(thm)],
% 0.55/0.75 [zip_derived_cl22, zip_derived_cl19])).
% 0.55/0.75 thf(zip_derived_cl20, plain,
% 0.55/0.75 (![X0 : $i, X1 : $i]:
% 0.55/0.75 ( (convergent_lines @ X0 @ X1) | ~ (zip_tseitin_1 @ X1 @ X0))),
% 0.55/0.75 inference('cnf', [status(esa)], [zf_stmt_2])).
% 0.55/0.75 thf(zip_derived_cl32, plain,
% 0.55/0.75 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.55/0.75 ( (unorthogonal_lines @ X2 @ X0)
% 0.55/0.75 | ~ (unorthogonal_lines @ X1 @ X2)
% 0.55/0.75 | ~ (convergent_lines @ X1 @ X2)
% 0.55/0.75 | (convergent_lines @ X1 @ X0))),
% 0.55/0.75 inference('dp-resolution', [status(thm)],
% 0.55/0.75 [zip_derived_cl29, zip_derived_cl20])).
% 0.55/0.75 thf(zip_derived_cl137, plain,
% 0.55/0.75 (![X0 : $i]:
% 0.55/0.75 ( (convergent_lines @ sk_ @ X0)
% 0.55/0.75 | ~ (convergent_lines @ sk_ @ sk__1)
% 0.55/0.75 | (unorthogonal_lines @ sk__1 @ X0))),
% 0.55/0.75 inference('sup-', [status(thm)], [zip_derived_cl26, zip_derived_cl32])).
% 0.55/0.75 thf(occu1, axiom,
% 0.55/0.75 (![L:$i,M:$i]:
% 0.55/0.75 ( ( unorthogonal_lines @ L @ M ) | ( convergent_lines @ L @ M ) ))).
% 0.55/0.75 thf(zip_derived_cl17, plain,
% 0.55/0.75 (![X0 : $i, X1 : $i]:
% 0.55/0.75 ( (unorthogonal_lines @ X0 @ X1) | (convergent_lines @ X0 @ X1))),
% 0.55/0.75 inference('cnf', [status(esa)], [occu1])).
% 0.55/0.75 thf(zip_derived_cl27, plain, (~ (unorthogonal_lines @ sk__1 @ sk_)),
% 0.55/0.75 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.55/0.75 thf(zip_derived_cl37, plain, ( (convergent_lines @ sk__1 @ sk_)),
% 0.55/0.75 inference('sup-', [status(thm)], [zip_derived_cl17, zip_derived_cl27])).
% 0.55/0.75 thf(apart6, axiom,
% 0.55/0.75 (![X:$i,Y:$i,Z:$i]:
% 0.55/0.75 ( ( convergent_lines @ X @ Y ) =>
% 0.55/0.75 ( ( convergent_lines @ X @ Z ) | ( convergent_lines @ Y @ Z ) ) ))).
% 0.55/0.75 thf(zip_derived_cl5, plain,
% 0.55/0.75 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.55/0.75 (~ (convergent_lines @ X0 @ X1)
% 0.55/0.75 | (convergent_lines @ X0 @ X2)
% 0.55/0.75 | (convergent_lines @ X1 @ X2))),
% 0.55/0.75 inference('cnf', [status(esa)], [apart6])).
% 0.55/0.75 thf(zip_derived_cl50, plain,
% 0.55/0.75 (![X0 : $i]:
% 0.55/0.75 ( (convergent_lines @ sk_ @ X0) | (convergent_lines @ sk__1 @ X0))),
% 0.55/0.75 inference('sup-', [status(thm)], [zip_derived_cl37, zip_derived_cl5])).
% 0.55/0.75 thf(apart3, axiom, (![X:$i]: ( ~( convergent_lines @ X @ X ) ))).
% 0.55/0.75 thf(zip_derived_cl2, plain, (![X0 : $i]: ~ (convergent_lines @ X0 @ X0)),
% 0.55/0.75 inference('cnf', [status(esa)], [apart3])).
% 0.55/0.75 thf(zip_derived_cl61, plain, ( (convergent_lines @ sk_ @ sk__1)),
% 0.55/0.75 inference('sup-', [status(thm)], [zip_derived_cl50, zip_derived_cl2])).
% 0.55/0.75 thf(zip_derived_cl141, plain,
% 0.55/0.75 (![X0 : $i]:
% 0.55/0.75 ( (convergent_lines @ sk_ @ X0) | (unorthogonal_lines @ sk__1 @ X0))),
% 0.55/0.75 inference('demod', [status(thm)], [zip_derived_cl137, zip_derived_cl61])).
% 0.55/0.75 thf(zip_derived_cl27, plain, (~ (unorthogonal_lines @ sk__1 @ sk_)),
% 0.55/0.75 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.55/0.75 thf(zip_derived_cl145, plain, ( (convergent_lines @ sk_ @ sk_)),
% 0.55/0.75 inference('sup-', [status(thm)], [zip_derived_cl141, zip_derived_cl27])).
% 0.55/0.75 thf(zip_derived_cl2, plain, (![X0 : $i]: ~ (convergent_lines @ X0 @ X0)),
% 0.55/0.75 inference('cnf', [status(esa)], [apart3])).
% 0.55/0.75 thf(zip_derived_cl147, plain, ($false),
% 0.55/0.75 inference('sup-', [status(thm)], [zip_derived_cl145, zip_derived_cl2])).
% 0.55/0.75
% 0.55/0.75 % SZS output end Refutation
% 0.55/0.75
% 0.55/0.75
% 0.55/0.75 % Terminating...
% 0.58/0.84 % Runner terminated.
% 0.58/0.86 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------