%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GEO218+2 : TPTP v9.2.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.im0smARiYH true
% Computer : n027.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 04:34:21 PM UTC 2025
% Result : Theorem 0.49s 0.73s
% Output : Refutation 0.49s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.11 % Problem : GEO218+2 : TPTP v9.2.0. Released v3.3.0.
% 0.02/0.12 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.im0smARiYH true
% 0.11/0.33 % Computer : n027.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 300
% 0.11/0.33 % DateTime : Wed Oct 1 17:27:08 EDT 2025
% 0.11/0.33 % CPUTime :
% 0.11/0.33 % Running portfolio for 300 s
% 0.11/0.33 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.33 % Number of cores: 8
% 0.11/0.33 % Python version: Python 3.6.8
% 0.11/0.33 % Running in FO mode
% 0.47/0.59 % Total configuration time : 435
% 0.47/0.59 % Estimated wc time : 1092
% 0.47/0.59 % Estimated cpu time (7 cpus) : 156.0
% 0.48/0.66 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.48/0.69 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.48/0.69 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.48/0.69 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.48/0.69 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.48/0.69 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.48/0.70 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.49/0.73 % Solved by fo/fo6_bce.sh.
% 0.49/0.73 % BCE start: 24
% 0.49/0.73 % BCE eliminated: 0
% 0.49/0.73 % PE start: 24
% 0.49/0.73 logic: neq
% 0.49/0.73 % PE eliminated: 1
% 0.49/0.73 % done 65 iterations in 0.049s
% 0.49/0.73 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.49/0.73 % SZS output start Refutation
% 0.49/0.73 thf(sk__1_type, type, sk__1: $i).
% 0.49/0.73 thf(sk__2_type, type, sk__2: $i).
% 0.49/0.73 thf(zip_tseitin_1_type, type, zip_tseitin_1: $i > $i > $o).
% 0.49/0.73 thf(zip_tseitin_0_type, type, zip_tseitin_0: $i > $i > $o).
% 0.49/0.73 thf(unorthogonal_lines_type, type, unorthogonal_lines: $i > $i > $o).
% 0.49/0.73 thf(sk__type, type, sk_: $i).
% 0.49/0.73 thf(convergent_lines_type, type, convergent_lines: $i > $i > $o).
% 0.49/0.73 thf(con, conjecture,
% 0.49/0.73 (![L:$i,M:$i,N:$i]:
% 0.49/0.73 ( ( ( ~( convergent_lines @ L @ M ) ) &
% 0.49/0.73 ( ~( unorthogonal_lines @ L @ N ) ) ) =>
% 0.49/0.73 ( ~( unorthogonal_lines @ M @ N ) ) ))).
% 0.49/0.73 thf(zf_stmt_0, negated_conjecture,
% 0.49/0.73 (~( ![L:$i,M:$i,N:$i]:
% 0.49/0.73 ( ( ( ~( convergent_lines @ L @ M ) ) &
% 0.49/0.73 ( ~( unorthogonal_lines @ L @ N ) ) ) =>
% 0.49/0.73 ( ~( unorthogonal_lines @ M @ N ) ) ) )),
% 0.49/0.73 inference('cnf.neg', [status(esa)], [con])).
% 0.49/0.73 thf(zip_derived_cl23, plain, (~ (convergent_lines @ sk_ @ sk__1)),
% 0.49/0.73 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.49/0.73 thf(cotno1, axiom,
% 0.49/0.73 (![L:$i,M:$i,N:$i]:
% 0.49/0.73 ( ( ( ( ~( unorthogonal_lines @ L @ N ) ) |
% 0.49/0.73 ( ~( convergent_lines @ L @ N ) ) ) &
% 0.49/0.73 ( ( ~( unorthogonal_lines @ L @ M ) ) |
% 0.49/0.73 ( ~( convergent_lines @ L @ M ) ) ) ) =>
% 0.49/0.73 ( ( ~( unorthogonal_lines @ M @ N ) ) |
% 0.49/0.73 ( ~( convergent_lines @ M @ N ) ) ) ))).
% 0.49/0.73 thf(zf_stmt_1, axiom,
% 0.49/0.73 (![M:$i,L:$i]:
% 0.49/0.73 ( ( ( ~( convergent_lines @ L @ M ) ) |
% 0.49/0.73 ( ~( unorthogonal_lines @ L @ M ) ) ) =>
% 0.49/0.73 ( zip_tseitin_1 @ M @ L ) ))).
% 0.49/0.73 thf(zip_derived_cl17, plain,
% 0.49/0.73 (![X0 : $i, X1 : $i]:
% 0.49/0.73 ( (zip_tseitin_1 @ X0 @ X1) | (convergent_lines @ X1 @ X0))),
% 0.49/0.73 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.49/0.73 thf(zip_derived_cl17, plain,
% 0.49/0.73 (![X0 : $i, X1 : $i]:
% 0.49/0.73 ( (zip_tseitin_1 @ X0 @ X1) | (convergent_lines @ X1 @ X0))),
% 0.49/0.73 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.49/0.73 thf(coipo1, axiom,
% 0.49/0.73 (![L:$i,M:$i]:
% 0.49/0.73 ( ~( ( ~( convergent_lines @ L @ M ) ) &
% 0.49/0.73 ( ~( unorthogonal_lines @ L @ M ) ) ) ))).
% 0.49/0.73 thf(zip_derived_cl14, plain,
% 0.49/0.73 (![X0 : $i, X1 : $i]:
% 0.49/0.73 ( (convergent_lines @ X0 @ X1) | (unorthogonal_lines @ X0 @ X1))),
% 0.49/0.73 inference('cnf', [status(esa)], [coipo1])).
% 0.49/0.73 thf(zip_derived_cl22, plain, (~ (unorthogonal_lines @ sk_ @ sk__2)),
% 0.49/0.73 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.49/0.73 thf(zip_derived_cl30, plain, ( (convergent_lines @ sk_ @ sk__2)),
% 0.49/0.73 inference('s_sup-', [status(thm)], [zip_derived_cl14, zip_derived_cl22])).
% 0.49/0.73 thf(apart6, axiom,
% 0.49/0.73 (![X:$i,Y:$i,Z:$i]:
% 0.49/0.73 ( ( convergent_lines @ X @ Y ) =>
% 0.49/0.73 ( ( convergent_lines @ X @ Z ) | ( convergent_lines @ Y @ Z ) ) ))).
% 0.49/0.73 thf(zip_derived_cl5, plain,
% 0.49/0.73 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.49/0.73 (~ (convergent_lines @ X0 @ X1)
% 0.49/0.73 | (convergent_lines @ X0 @ X2)
% 0.49/0.73 | (convergent_lines @ X1 @ X2))),
% 0.49/0.73 inference('cnf', [status(esa)], [apart6])).
% 0.49/0.73 thf(zip_derived_cl39, plain,
% 0.49/0.73 (![X0 : $i]:
% 0.49/0.73 ( (convergent_lines @ sk_ @ X0) | (convergent_lines @ sk__2 @ X0))),
% 0.49/0.73 inference('s_sup-', [status(thm)], [zip_derived_cl30, zip_derived_cl5])).
% 0.49/0.73 thf(zip_derived_cl5, plain,
% 0.49/0.73 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.49/0.73 (~ (convergent_lines @ X0 @ X1)
% 0.49/0.73 | (convergent_lines @ X0 @ X2)
% 0.49/0.73 | (convergent_lines @ X1 @ X2))),
% 0.49/0.73 inference('cnf', [status(esa)], [apart6])).
% 0.49/0.73 thf(zip_derived_cl44, plain,
% 0.49/0.73 (![X0 : $i, X1 : $i]:
% 0.49/0.73 ( (convergent_lines @ sk_ @ X0)
% 0.49/0.73 | (convergent_lines @ sk__2 @ X1)
% 0.49/0.73 | (convergent_lines @ X0 @ X1))),
% 0.49/0.73 inference('s_sup-', [status(thm)], [zip_derived_cl39, zip_derived_cl5])).
% 0.49/0.73 thf(apart3, axiom, (![X:$i]: ( ~( convergent_lines @ X @ X ) ))).
% 0.49/0.73 thf(zip_derived_cl2, plain, (![X0 : $i]: ~ (convergent_lines @ X0 @ X0)),
% 0.49/0.73 inference('cnf', [status(esa)], [apart3])).
% 0.49/0.73 thf(zip_derived_cl79, plain,
% 0.49/0.73 (![X0 : $i]:
% 0.49/0.73 ( (convergent_lines @ X0 @ sk__2) | (convergent_lines @ sk_ @ X0))),
% 0.49/0.73 inference('s_sup-', [status(thm)], [zip_derived_cl44, zip_derived_cl2])).
% 0.49/0.73 thf(zip_derived_cl21, plain, ( (unorthogonal_lines @ sk__1 @ sk__2)),
% 0.49/0.73 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.49/0.73 thf(zf_stmt_2, axiom,
% 0.49/0.73 (![N:$i,L:$i]:
% 0.49/0.73 ( ( ( ~( convergent_lines @ L @ N ) ) |
% 0.49/0.73 ( ~( unorthogonal_lines @ L @ N ) ) ) =>
% 0.49/0.73 ( zip_tseitin_0 @ N @ L ) ))).
% 0.49/0.73 thf(zip_derived_cl15, plain,
% 0.49/0.73 (![X0 : $i, X1 : $i]:
% 0.49/0.73 ( (zip_tseitin_0 @ X0 @ X1) | (convergent_lines @ X1 @ X0))),
% 0.49/0.73 inference('cnf', [status(esa)], [zf_stmt_2])).
% 0.49/0.73 thf(zf_stmt_3, type, zip_tseitin_1 : $i > $i > $o).
% 0.49/0.73 thf(zf_stmt_4, type, zip_tseitin_0 : $i > $i > $o).
% 0.49/0.73 thf(zf_stmt_5, axiom,
% 0.49/0.73 (![L:$i,M:$i,N:$i]:
% 0.49/0.73 ( ( ( zip_tseitin_1 @ M @ L ) & ( zip_tseitin_0 @ N @ L ) ) =>
% 0.49/0.73 ( ( ~( convergent_lines @ M @ N ) ) |
% 0.49/0.73 ( ~( unorthogonal_lines @ M @ N ) ) ) ))).
% 0.49/0.73 thf(zip_derived_cl19, plain,
% 0.49/0.73 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.49/0.73 (~ (zip_tseitin_1 @ X0 @ X1)
% 0.49/0.73 | ~ (zip_tseitin_0 @ X2 @ X1)
% 0.49/0.73 | ~ (convergent_lines @ X0 @ X2)
% 0.49/0.73 | ~ (unorthogonal_lines @ X0 @ X2))),
% 0.49/0.73 inference('cnf', [status(esa)], [zf_stmt_5])).
% 0.49/0.73 thf(zip_derived_cl24, plain,
% 0.49/0.73 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.49/0.73 ( (convergent_lines @ X2 @ X0)
% 0.49/0.73 | ~ (unorthogonal_lines @ X1 @ X0)
% 0.49/0.73 | ~ (convergent_lines @ X1 @ X0)
% 0.49/0.73 | ~ (zip_tseitin_1 @ X1 @ X2))),
% 0.49/0.73 inference('dp-resolution', [status(thm)],
% 0.49/0.73 [zip_derived_cl15, zip_derived_cl19])).
% 0.49/0.73 thf(zip_derived_cl62, plain,
% 0.49/0.73 (![X0 : $i]:
% 0.49/0.73 ( (convergent_lines @ X0 @ sk__2)
% 0.49/0.73 | ~ (convergent_lines @ sk__1 @ sk__2)
% 0.49/0.73 | ~ (zip_tseitin_1 @ sk__1 @ X0))),
% 0.49/0.73 inference('s_sup-', [status(thm)], [zip_derived_cl21, zip_derived_cl24])).
% 0.49/0.73 thf(zip_derived_cl102, plain,
% 0.49/0.73 (![X0 : $i]:
% 0.49/0.73 ( (convergent_lines @ sk_ @ sk__1)
% 0.49/0.73 | (convergent_lines @ X0 @ sk__2)
% 0.49/0.73 | ~ (zip_tseitin_1 @ sk__1 @ X0))),
% 0.49/0.73 inference('s_sup-', [status(thm)], [zip_derived_cl79, zip_derived_cl62])).
% 0.49/0.73 thf(zip_derived_cl23, plain, (~ (convergent_lines @ sk_ @ sk__1)),
% 0.49/0.73 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.49/0.73 thf(zip_derived_cl107, plain,
% 0.49/0.73 (![X0 : $i]:
% 0.49/0.73 ( (convergent_lines @ X0 @ sk__2) | ~ (zip_tseitin_1 @ sk__1 @ X0))),
% 0.49/0.73 inference('demod', [status(thm)], [zip_derived_cl102, zip_derived_cl23])).
% 0.49/0.73 thf(zip_derived_cl108, plain,
% 0.49/0.73 (![X0 : $i]:
% 0.49/0.73 ( (convergent_lines @ X0 @ sk__1) | (convergent_lines @ X0 @ sk__2))),
% 0.49/0.73 inference('s_sup-', [status(thm)], [zip_derived_cl17, zip_derived_cl107])).
% 0.49/0.73 thf(zip_derived_cl2, plain, (![X0 : $i]: ~ (convergent_lines @ X0 @ X0)),
% 0.49/0.73 inference('cnf', [status(esa)], [apart3])).
% 0.49/0.73 thf(zip_derived_cl118, plain, ( (convergent_lines @ sk__2 @ sk__1)),
% 0.49/0.73 inference('s_sup-', [status(thm)], [zip_derived_cl108, zip_derived_cl2])).
% 0.49/0.73 thf(zip_derived_cl5, plain,
% 0.49/0.73 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.49/0.73 (~ (convergent_lines @ X0 @ X1)
% 0.49/0.73 | (convergent_lines @ X0 @ X2)
% 0.49/0.73 | (convergent_lines @ X1 @ X2))),
% 0.49/0.73 inference('cnf', [status(esa)], [apart6])).
% 0.49/0.73 thf(zip_derived_cl124, plain,
% 0.49/0.73 (![X0 : $i]:
% 0.49/0.73 ( (convergent_lines @ sk__2 @ X0) | (convergent_lines @ sk__1 @ X0))),
% 0.49/0.73 inference('s_sup-', [status(thm)], [zip_derived_cl118, zip_derived_cl5])).
% 0.49/0.73 thf(zip_derived_cl2, plain, (![X0 : $i]: ~ (convergent_lines @ X0 @ X0)),
% 0.49/0.73 inference('cnf', [status(esa)], [apart3])).
% 0.49/0.73 thf(zip_derived_cl138, plain, ( (convergent_lines @ sk__1 @ sk__2)),
% 0.49/0.73 inference('s_sup-', [status(thm)], [zip_derived_cl124, zip_derived_cl2])).
% 0.49/0.73 thf(zip_derived_cl16, plain,
% 0.49/0.73 (![X0 : $i, X1 : $i]:
% 0.49/0.73 ( (zip_tseitin_0 @ X0 @ X1) | (unorthogonal_lines @ X1 @ X0))),
% 0.49/0.73 inference('cnf', [status(esa)], [zf_stmt_2])).
% 0.49/0.73 thf(zip_derived_cl19, plain,
% 0.49/0.73 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.49/0.73 (~ (zip_tseitin_1 @ X0 @ X1)
% 0.49/0.73 | ~ (zip_tseitin_0 @ X2 @ X1)
% 0.49/0.73 | ~ (convergent_lines @ X0 @ X2)
% 0.49/0.73 | ~ (unorthogonal_lines @ X0 @ X2))),
% 0.49/0.73 inference('cnf', [status(esa)], [zf_stmt_5])).
% 0.49/0.73 thf(zip_derived_cl25, plain,
% 0.49/0.73 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.49/0.73 ( (unorthogonal_lines @ X2 @ X0)
% 0.49/0.73 | ~ (unorthogonal_lines @ X1 @ X0)
% 0.49/0.73 | ~ (convergent_lines @ X1 @ X0)
% 0.49/0.73 | ~ (zip_tseitin_1 @ X1 @ X2))),
% 0.49/0.73 inference('dp-resolution', [status(thm)],
% 0.49/0.73 [zip_derived_cl16, zip_derived_cl19])).
% 0.49/0.73 thf(zip_derived_cl146, plain,
% 0.49/0.73 (![X0 : $i]:
% 0.49/0.73 ( (unorthogonal_lines @ X0 @ sk__2)
% 0.49/0.73 | ~ (unorthogonal_lines @ sk__1 @ sk__2)
% 0.49/0.73 | ~ (zip_tseitin_1 @ sk__1 @ X0))),
% 0.49/0.73 inference('s_sup-', [status(thm)], [zip_derived_cl138, zip_derived_cl25])).
% 0.49/0.73 thf(zip_derived_cl21, plain, ( (unorthogonal_lines @ sk__1 @ sk__2)),
% 0.49/0.73 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.49/0.73 thf(zip_derived_cl149, plain,
% 0.49/0.73 (![X0 : $i]:
% 0.49/0.73 ( (unorthogonal_lines @ X0 @ sk__2) | ~ (zip_tseitin_1 @ sk__1 @ X0))),
% 0.49/0.73 inference('demod', [status(thm)], [zip_derived_cl146, zip_derived_cl21])).
% 0.49/0.73 thf(zip_derived_cl150, plain,
% 0.49/0.73 (![X0 : $i]:
% 0.49/0.73 ( (convergent_lines @ X0 @ sk__1) | (unorthogonal_lines @ X0 @ sk__2))),
% 0.49/0.73 inference('s_sup-', [status(thm)], [zip_derived_cl17, zip_derived_cl149])).
% 0.49/0.73 thf(zip_derived_cl22, plain, (~ (unorthogonal_lines @ sk_ @ sk__2)),
% 0.49/0.73 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.49/0.73 thf(zip_derived_cl196, plain, ( (convergent_lines @ sk_ @ sk__1)),
% 0.49/0.73 inference('s_sup-', [status(thm)], [zip_derived_cl150, zip_derived_cl22])).
% 0.49/0.73 thf(zip_derived_cl211, plain, ($false),
% 0.49/0.73 inference('demod', [status(thm)], [zip_derived_cl23, zip_derived_cl196])).
% 0.49/0.73
% 0.49/0.73 % SZS output end Refutation
% 0.49/0.73
% 0.49/0.73
% 0.49/0.73 % Terminating...
% 0.54/0.80 % Runner terminated.
% 0.54/0.80 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------