%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GEO219+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.YXAXfQhGgM true
% Computer : n016.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 04:34:22 PM UTC 2025
% Result : Theorem 0.53s 0.83s
% Output : Refutation 0.53s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GEO219+3 : TPTP v9.2.0. Released v4.0.0.
% 0.03/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.YXAXfQhGgM true
% 0.12/0.34 % Computer : n016.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 17:38:08 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
% 0.44/0.62 % Total configuration time : 435
% 0.44/0.62 % Estimated wc time : 1092
% 0.44/0.62 % Estimated cpu time (7 cpus) : 156.0
% 0.52/0.73 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.52/0.73 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.52/0.73 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.52/0.74 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.52/0.74 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.52/0.74 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.53/0.74 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.53/0.77 % /export/starexec/sandbox/solver/bin/fo/fo1_lcnf.sh running for 50s
% 0.53/0.83 % Solved by fo/fo7.sh.
% 0.53/0.83 % done 131 iterations in 0.072s
% 0.53/0.83 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.53/0.83 % SZS output start Refutation
% 0.53/0.83 thf(parallel_lines_type, type, parallel_lines: $i > $i > $o).
% 0.53/0.83 thf(distinct_lines_type, type, distinct_lines: $i > $i > $o).
% 0.53/0.83 thf(zip_tseitin_3_type, type, zip_tseitin_3: $i > $i > $o).
% 0.53/0.83 thf(zip_tseitin_2_type, type, zip_tseitin_2: $i > $i > $o).
% 0.53/0.83 thf(orthogonal_lines_type, type, orthogonal_lines: $i > $i > $o).
% 0.53/0.83 thf(unorthogonal_lines_type, type, unorthogonal_lines: $i > $i > $o).
% 0.53/0.83 thf(convergent_lines_type, type, convergent_lines: $i > $i > $o).
% 0.53/0.83 thf(sk__1_type, type, sk__1: $i).
% 0.53/0.83 thf(sk__type, type, sk_: $i).
% 0.53/0.83 thf(sk__2_type, type, sk__2: $i).
% 0.53/0.83 thf(con, conjecture,
% 0.53/0.83 (![L:$i,M:$i,N:$i]:
% 0.53/0.83 ( ( ( orthogonal_lines @ L @ M ) & ( parallel_lines @ L @ N ) ) =>
% 0.53/0.83 ( orthogonal_lines @ M @ N ) ))).
% 0.53/0.83 thf(zf_stmt_0, negated_conjecture,
% 0.53/0.83 (~( ![L:$i,M:$i,N:$i]:
% 0.53/0.83 ( ( ( orthogonal_lines @ L @ M ) & ( parallel_lines @ L @ N ) ) =>
% 0.53/0.83 ( orthogonal_lines @ M @ N ) ) )),
% 0.53/0.83 inference('cnf.neg', [status(esa)], [con])).
% 0.53/0.83 thf(zip_derived_cl49, plain, ( (parallel_lines @ sk_ @ sk__2)),
% 0.53/0.83 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.53/0.83 thf(cotno1, axiom,
% 0.53/0.83 (![L:$i,M:$i,N:$i]:
% 0.53/0.83 ( ( ( ( ~( unorthogonal_lines @ L @ N ) ) |
% 0.53/0.83 ( ~( convergent_lines @ L @ N ) ) ) &
% 0.53/0.83 ( ( ~( unorthogonal_lines @ L @ M ) ) |
% 0.53/0.83 ( ~( convergent_lines @ L @ M ) ) ) ) =>
% 0.53/0.83 ( ( ~( unorthogonal_lines @ M @ N ) ) |
% 0.53/0.83 ( ~( convergent_lines @ M @ N ) ) ) ))).
% 0.53/0.83 thf(zf_stmt_1, axiom,
% 0.53/0.83 (![N:$i,L:$i]:
% 0.53/0.83 ( ( ( ~( convergent_lines @ L @ N ) ) |
% 0.53/0.83 ( ~( unorthogonal_lines @ L @ N ) ) ) =>
% 0.53/0.83 ( zip_tseitin_2 @ N @ L ) ))).
% 0.53/0.83 thf(zip_derived_cl28, plain,
% 0.53/0.83 (![X0 : $i, X1 : $i]:
% 0.53/0.83 ( (zip_tseitin_2 @ X0 @ X1) | (convergent_lines @ X1 @ X0))),
% 0.53/0.83 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.53/0.83 thf(zip_derived_cl49, plain, ( (parallel_lines @ sk_ @ sk__2)),
% 0.53/0.83 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.53/0.83 thf(zip_derived_cl50, plain, ( (orthogonal_lines @ sk_ @ sk__1)),
% 0.53/0.83 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.53/0.83 thf(occu1, axiom,
% 0.53/0.83 (![L:$i,M:$i]:
% 0.53/0.83 ( ( unorthogonal_lines @ L @ M ) | ( convergent_lines @ L @ M ) ))).
% 0.53/0.83 thf(zip_derived_cl18, plain,
% 0.53/0.83 (![X0 : $i, X1 : $i]:
% 0.53/0.83 ( (unorthogonal_lines @ X0 @ X1) | (convergent_lines @ X0 @ X1))),
% 0.53/0.83 inference('cnf', [status(esa)], [occu1])).
% 0.53/0.83 thf(a5, axiom,
% 0.53/0.83 (![X:$i,Y:$i]:
% 0.53/0.83 ( ( orthogonal_lines @ X @ Y ) <=> ( ~( unorthogonal_lines @ X @ Y ) ) ))).
% 0.53/0.83 thf(zip_derived_cl46, plain,
% 0.53/0.83 (![X0 : $i, X1 : $i]:
% 0.53/0.83 (~ (unorthogonal_lines @ X0 @ X1) | ~ (orthogonal_lines @ X0 @ X1))),
% 0.53/0.83 inference('cnf', [status(esa)], [a5])).
% 0.53/0.83 thf(zip_derived_cl67, plain,
% 0.53/0.83 (![X0 : $i, X1 : $i]:
% 0.53/0.83 ( (convergent_lines @ X1 @ X0) | ~ (orthogonal_lines @ X1 @ X0))),
% 0.53/0.83 inference('sup-', [status(thm)], [zip_derived_cl18, zip_derived_cl46])).
% 0.53/0.83 thf(zip_derived_cl68, plain, ( (convergent_lines @ sk_ @ sk__1)),
% 0.53/0.83 inference('sup-', [status(thm)], [zip_derived_cl50, zip_derived_cl67])).
% 0.53/0.83 thf(ceq3, axiom,
% 0.53/0.83 (![X:$i,Y:$i,Z:$i]:
% 0.53/0.83 ( ( convergent_lines @ X @ Y ) =>
% 0.53/0.83 ( ( distinct_lines @ Y @ Z ) | ( convergent_lines @ X @ Z ) ) ))).
% 0.53/0.83 thf(zip_derived_cl13, plain,
% 0.53/0.83 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.53/0.83 (~ (convergent_lines @ X0 @ X1)
% 0.53/0.83 | (distinct_lines @ X1 @ X2)
% 0.53/0.83 | (convergent_lines @ X0 @ X2))),
% 0.53/0.83 inference('cnf', [status(esa)], [ceq3])).
% 0.53/0.83 thf(zip_derived_cl74, plain,
% 0.53/0.83 (![X0 : $i]:
% 0.53/0.83 ( (convergent_lines @ sk_ @ X0) | (distinct_lines @ sk__1 @ X0))),
% 0.53/0.83 inference('sup-', [status(thm)], [zip_derived_cl68, zip_derived_cl13])).
% 0.53/0.83 thf(a3, axiom,
% 0.53/0.83 (![X:$i,Y:$i]:
% 0.53/0.83 ( ( parallel_lines @ X @ Y ) <=> ( ~( convergent_lines @ X @ Y ) ) ))).
% 0.53/0.83 thf(zip_derived_cl42, plain,
% 0.53/0.83 (![X0 : $i, X1 : $i]:
% 0.53/0.83 (~ (convergent_lines @ X0 @ X1) | ~ (parallel_lines @ X0 @ X1))),
% 0.53/0.83 inference('cnf', [status(esa)], [a3])).
% 0.53/0.83 thf(zip_derived_cl86, plain,
% 0.53/0.83 (![X0 : $i]:
% 0.53/0.83 ( (distinct_lines @ sk__1 @ X0) | ~ (parallel_lines @ sk_ @ X0))),
% 0.53/0.83 inference('sup-', [status(thm)], [zip_derived_cl74, zip_derived_cl42])).
% 0.53/0.83 thf(zip_derived_cl95, plain, ( (distinct_lines @ sk__1 @ sk__2)),
% 0.53/0.83 inference('sup-', [status(thm)], [zip_derived_cl49, zip_derived_cl86])).
% 0.53/0.83 thf(p1, axiom,
% 0.53/0.83 (![X:$i,Y:$i]:
% 0.53/0.83 ( ( distinct_lines @ X @ Y ) => ( convergent_lines @ X @ Y ) ))).
% 0.53/0.83 thf(zip_derived_cl14, plain,
% 0.53/0.83 (![X0 : $i, X1 : $i]:
% 0.53/0.83 ( (convergent_lines @ X0 @ X1) | ~ (distinct_lines @ X0 @ X1))),
% 0.53/0.83 inference('cnf', [status(esa)], [p1])).
% 0.53/0.83 thf(zf_stmt_2, axiom,
% 0.53/0.83 (![M:$i,L:$i]:
% 0.53/0.83 ( ( ( ~( convergent_lines @ L @ M ) ) |
% 0.53/0.83 ( ~( unorthogonal_lines @ L @ M ) ) ) =>
% 0.53/0.83 ( zip_tseitin_3 @ M @ L ) ))).
% 0.53/0.83 thf(zip_derived_cl31, plain,
% 0.53/0.83 (![X0 : $i, X1 : $i]:
% 0.53/0.83 ( (zip_tseitin_3 @ X0 @ X1) | (unorthogonal_lines @ X1 @ X0))),
% 0.53/0.83 inference('cnf', [status(esa)], [zf_stmt_2])).
% 0.53/0.83 thf(zf_stmt_3, type, zip_tseitin_3 : $i > $i > $o).
% 0.53/0.83 thf(zf_stmt_4, type, zip_tseitin_2 : $i > $i > $o).
% 0.53/0.83 thf(zf_stmt_5, axiom,
% 0.53/0.83 (![L:$i,M:$i,N:$i]:
% 0.53/0.83 ( ( ( zip_tseitin_3 @ M @ L ) & ( zip_tseitin_2 @ N @ L ) ) =>
% 0.53/0.83 ( ( ~( convergent_lines @ M @ N ) ) |
% 0.53/0.83 ( ~( unorthogonal_lines @ M @ N ) ) ) ))).
% 0.53/0.83 thf(zip_derived_cl32, plain,
% 0.53/0.83 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.53/0.83 (~ (zip_tseitin_3 @ X0 @ X1)
% 0.53/0.83 | ~ (zip_tseitin_2 @ X2 @ X1)
% 0.53/0.83 | ~ (convergent_lines @ X0 @ X2)
% 0.53/0.83 | ~ (unorthogonal_lines @ X0 @ X2))),
% 0.53/0.83 inference('cnf', [status(esa)], [zf_stmt_5])).
% 0.53/0.83 thf(zip_derived_cl105, plain,
% 0.53/0.83 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.53/0.83 ( (unorthogonal_lines @ X0 @ X1)
% 0.53/0.83 | ~ (unorthogonal_lines @ X1 @ X2)
% 0.53/0.83 | ~ (convergent_lines @ X1 @ X2)
% 0.53/0.83 | ~ (zip_tseitin_2 @ X2 @ X0))),
% 0.53/0.83 inference('sup-', [status(thm)], [zip_derived_cl31, zip_derived_cl32])).
% 0.53/0.83 thf(zip_derived_cl106, plain,
% 0.53/0.83 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.53/0.83 (~ (distinct_lines @ X1 @ X0)
% 0.53/0.83 | ~ (zip_tseitin_2 @ X0 @ X2)
% 0.53/0.83 | ~ (unorthogonal_lines @ X1 @ X0)
% 0.53/0.83 | (unorthogonal_lines @ X2 @ X1))),
% 0.53/0.83 inference('sup-', [status(thm)], [zip_derived_cl14, zip_derived_cl105])).
% 0.53/0.83 thf(zip_derived_cl137, plain,
% 0.53/0.83 (![X0 : $i]:
% 0.53/0.83 ( (unorthogonal_lines @ X0 @ sk__1)
% 0.53/0.83 | ~ (unorthogonal_lines @ sk__1 @ sk__2)
% 0.53/0.83 | ~ (zip_tseitin_2 @ sk__2 @ X0))),
% 0.53/0.83 inference('sup-', [status(thm)], [zip_derived_cl95, zip_derived_cl106])).
% 0.53/0.83 thf(zip_derived_cl47, plain,
% 0.53/0.83 (![X0 : $i, X1 : $i]:
% 0.53/0.83 ( (orthogonal_lines @ X0 @ X1) | (unorthogonal_lines @ X0 @ X1))),
% 0.53/0.83 inference('cnf', [status(esa)], [a5])).
% 0.53/0.83 thf(zip_derived_cl48, plain, (~ (orthogonal_lines @ sk__1 @ sk__2)),
% 0.53/0.83 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.53/0.83 thf(zip_derived_cl149, plain, ( (unorthogonal_lines @ sk__1 @ sk__2)),
% 0.53/0.83 inference('sup-', [status(thm)], [zip_derived_cl47, zip_derived_cl48])).
% 0.53/0.83 thf(zip_derived_cl150, plain,
% 0.53/0.83 (![X0 : $i]:
% 0.53/0.83 ( (unorthogonal_lines @ X0 @ sk__1) | ~ (zip_tseitin_2 @ sk__2 @ X0))),
% 0.53/0.83 inference('demod', [status(thm)], [zip_derived_cl137, zip_derived_cl149])).
% 0.53/0.83 thf(zip_derived_cl154, plain,
% 0.53/0.83 (![X0 : $i]:
% 0.53/0.83 ( (convergent_lines @ X0 @ sk__2) | (unorthogonal_lines @ X0 @ sk__1))),
% 0.53/0.83 inference('sup-', [status(thm)], [zip_derived_cl28, zip_derived_cl150])).
% 0.53/0.83 thf(zip_derived_cl42, plain,
% 0.53/0.83 (![X0 : $i, X1 : $i]:
% 0.53/0.83 (~ (convergent_lines @ X0 @ X1) | ~ (parallel_lines @ X0 @ X1))),
% 0.53/0.83 inference('cnf', [status(esa)], [a3])).
% 0.53/0.83 thf(zip_derived_cl214, plain,
% 0.53/0.83 (![X0 : $i]:
% 0.53/0.83 ( (unorthogonal_lines @ X0 @ sk__1) | ~ (parallel_lines @ X0 @ sk__2))),
% 0.53/0.83 inference('sup-', [status(thm)], [zip_derived_cl154, zip_derived_cl42])).
% 0.53/0.83 thf(zip_derived_cl243, plain, ( (unorthogonal_lines @ sk_ @ sk__1)),
% 0.53/0.83 inference('sup-', [status(thm)], [zip_derived_cl49, zip_derived_cl214])).
% 0.53/0.83 thf(zip_derived_cl46, plain,
% 0.53/0.83 (![X0 : $i, X1 : $i]:
% 0.53/0.83 (~ (unorthogonal_lines @ X0 @ X1) | ~ (orthogonal_lines @ X0 @ X1))),
% 0.53/0.83 inference('cnf', [status(esa)], [a5])).
% 0.53/0.83 thf(zip_derived_cl257, plain, (~ (orthogonal_lines @ sk_ @ sk__1)),
% 0.53/0.83 inference('sup-', [status(thm)], [zip_derived_cl243, zip_derived_cl46])).
% 0.53/0.83 thf(zip_derived_cl50, plain, ( (orthogonal_lines @ sk_ @ sk__1)),
% 0.53/0.83 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.53/0.83 thf(zip_derived_cl260, plain, ($false),
% 0.53/0.83 inference('demod', [status(thm)], [zip_derived_cl257, zip_derived_cl50])).
% 0.53/0.83
% 0.53/0.83 % SZS output end Refutation
% 0.53/0.83
% 0.53/0.83
% 0.53/0.83 % Terminating...
% 1.94/0.94 % Runner terminated.
% 1.94/0.96 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------