%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GEO213+1 : 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.3KAz3y7mcm 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 04:34:20 PM UTC 2025
% Result : Theorem 0.57s 0.78s
% Output : Refutation 0.57s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GEO213+1 : TPTP v9.2.0. Released v3.3.0.
% 0.11/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.3KAz3y7mcm true
% 0.13/0.34 % Computer : n011.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Wed Oct 1 17:41:53 EDT 2025
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % Running portfolio for 300 s
% 0.13/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.35 % Number of cores: 8
% 0.13/0.35 % Python version: Python 3.6.8
% 0.13/0.35 % Running in FO mode
% 0.53/0.62 % Total configuration time : 435
% 0.53/0.62 % Estimated wc time : 1092
% 0.53/0.62 % Estimated cpu time (7 cpus) : 156.0
% 0.56/0.70 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.56/0.70 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.56/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.56/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.56/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.56/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.56/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.57/0.78 % Solved by fo/fo7.sh.
% 0.57/0.78 % done 82 iterations in 0.031s
% 0.57/0.78 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.57/0.78 % SZS output start Refutation
% 0.57/0.78 thf(sk__type, type, sk_: $i).
% 0.57/0.78 thf(unorthogonal_lines_type, type, unorthogonal_lines: $i > $i > $o).
% 0.57/0.78 thf(distinct_lines_type, type, distinct_lines: $i > $i > $o).
% 0.57/0.78 thf(sk__2_type, type, sk__2: $i).
% 0.57/0.78 thf(zip_tseitin_1_type, type, zip_tseitin_1: $i > $i > $o).
% 0.57/0.78 thf(sk__1_type, type, sk__1: $i).
% 0.57/0.78 thf(convergent_lines_type, type, convergent_lines: $i > $i > $o).
% 0.57/0.78 thf(zip_tseitin_0_type, type, zip_tseitin_0: $i > $i > $o).
% 0.57/0.78 thf(con, conjecture,
% 0.57/0.78 (![L:$i,M:$i,N:$i]:
% 0.57/0.78 ( ( unorthogonal_lines @ L @ M ) =>
% 0.57/0.78 ( ( distinct_lines @ L @ N ) | ( unorthogonal_lines @ M @ N ) ) ))).
% 0.57/0.78 thf(zf_stmt_0, negated_conjecture,
% 0.57/0.78 (~( ![L:$i,M:$i,N:$i]:
% 0.57/0.78 ( ( unorthogonal_lines @ L @ M ) =>
% 0.57/0.78 ( ( distinct_lines @ L @ N ) | ( unorthogonal_lines @ M @ N ) ) ) )),
% 0.57/0.78 inference('cnf.neg', [status(esa)], [con])).
% 0.57/0.78 thf(zip_derived_cl28, plain, ( (unorthogonal_lines @ sk_ @ sk__1)),
% 0.57/0.78 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.57/0.78 thf(oac1, axiom,
% 0.57/0.78 (![L:$i,M:$i,N:$i]:
% 0.57/0.78 ( ( ( unorthogonal_lines @ L @ M ) & ( convergent_lines @ L @ M ) ) =>
% 0.57/0.78 ( ( ( unorthogonal_lines @ M @ N ) & ( convergent_lines @ M @ N ) ) |
% 0.57/0.78 ( ( unorthogonal_lines @ L @ N ) & ( convergent_lines @ L @ N ) ) ) ))).
% 0.57/0.78 thf(zf_stmt_1, type, zip_tseitin_1 : $i > $i > $o).
% 0.57/0.78 thf(zf_stmt_2, axiom,
% 0.57/0.78 (![N:$i,L:$i]:
% 0.57/0.78 ( ( zip_tseitin_1 @ N @ L ) =>
% 0.57/0.78 ( ( convergent_lines @ L @ N ) & ( unorthogonal_lines @ L @ N ) ) ))).
% 0.57/0.78 thf(zf_stmt_3, type, zip_tseitin_0 : $i > $i > $o).
% 0.57/0.78 thf(zf_stmt_4, axiom,
% 0.57/0.78 (![N:$i,M:$i]:
% 0.57/0.78 ( ( zip_tseitin_0 @ N @ M ) =>
% 0.57/0.78 ( ( convergent_lines @ M @ N ) & ( unorthogonal_lines @ M @ N ) ) ))).
% 0.57/0.78 thf(zf_stmt_5, axiom,
% 0.57/0.78 (![L:$i,M:$i,N:$i]:
% 0.57/0.78 ( ( ( convergent_lines @ L @ M ) & ( unorthogonal_lines @ L @ M ) ) =>
% 0.57/0.78 ( ( zip_tseitin_1 @ N @ L ) | ( zip_tseitin_0 @ N @ M ) ) ))).
% 0.57/0.78 thf(zip_derived_cl22, plain,
% 0.57/0.78 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.57/0.78 (~ (unorthogonal_lines @ X0 @ X1)
% 0.57/0.78 | ~ (convergent_lines @ X0 @ X1)
% 0.57/0.78 | (zip_tseitin_1 @ X2 @ X0)
% 0.57/0.78 | (zip_tseitin_0 @ X2 @ X1))),
% 0.57/0.78 inference('cnf', [status(esa)], [zf_stmt_5])).
% 0.57/0.78 thf(zip_derived_cl52, plain,
% 0.57/0.78 (![X0 : $i]:
% 0.57/0.78 ( (zip_tseitin_0 @ X0 @ sk__1)
% 0.57/0.78 | (zip_tseitin_1 @ X0 @ sk_)
% 0.57/0.78 | ~ (convergent_lines @ sk_ @ sk__1))),
% 0.57/0.78 inference('sup-', [status(thm)], [zip_derived_cl28, zip_derived_cl22])).
% 0.57/0.78 thf(occu1, axiom,
% 0.57/0.78 (![L:$i,M:$i]:
% 0.57/0.78 ( ( unorthogonal_lines @ L @ M ) | ( convergent_lines @ L @ M ) ))).
% 0.57/0.78 thf(zip_derived_cl17, plain,
% 0.57/0.78 (![X0 : $i, X1 : $i]:
% 0.57/0.78 ( (unorthogonal_lines @ X0 @ X1) | (convergent_lines @ X0 @ X1))),
% 0.57/0.78 inference('cnf', [status(esa)], [occu1])).
% 0.57/0.78 thf(zip_derived_cl26, plain, (~ (unorthogonal_lines @ sk__1 @ sk__2)),
% 0.57/0.78 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.57/0.78 thf(zip_derived_cl46, plain, ( (convergent_lines @ sk__1 @ sk__2)),
% 0.57/0.78 inference('sup-', [status(thm)], [zip_derived_cl17, zip_derived_cl26])).
% 0.57/0.78 thf(ax6, axiom,
% 0.57/0.78 (![X:$i,Y:$i,Z:$i]:
% 0.57/0.78 ( ( convergent_lines @ X @ Y ) =>
% 0.57/0.78 ( ( convergent_lines @ X @ Z ) | ( convergent_lines @ Y @ Z ) ) ))).
% 0.57/0.78 thf(zip_derived_cl5, plain,
% 0.57/0.78 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.57/0.78 (~ (convergent_lines @ X0 @ X1)
% 0.57/0.78 | (convergent_lines @ X0 @ X2)
% 0.57/0.78 | (convergent_lines @ X1 @ X2))),
% 0.57/0.78 inference('cnf', [status(esa)], [ax6])).
% 0.57/0.78 thf(zip_derived_cl47, plain,
% 0.57/0.78 (![X0 : $i]:
% 0.57/0.78 ( (convergent_lines @ sk__2 @ X0) | (convergent_lines @ sk__1 @ X0))),
% 0.57/0.78 inference('sup-', [status(thm)], [zip_derived_cl46, zip_derived_cl5])).
% 0.57/0.78 thf(ceq3, axiom,
% 0.57/0.78 (![X:$i,Y:$i,Z:$i]:
% 0.57/0.78 ( ( convergent_lines @ X @ Y ) =>
% 0.57/0.78 ( ( distinct_lines @ Y @ Z ) | ( convergent_lines @ X @ Z ) ) ))).
% 0.57/0.78 thf(zip_derived_cl13, plain,
% 0.57/0.78 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.57/0.78 (~ (convergent_lines @ X0 @ X1)
% 0.57/0.78 | (distinct_lines @ X1 @ X2)
% 0.57/0.78 | (convergent_lines @ X0 @ X2))),
% 0.57/0.78 inference('cnf', [status(esa)], [ceq3])).
% 0.57/0.78 thf(zip_derived_cl60, plain,
% 0.57/0.78 (![X0 : $i, X1 : $i]:
% 0.57/0.78 ( (convergent_lines @ sk__1 @ X0)
% 0.57/0.78 | (convergent_lines @ sk__2 @ X1)
% 0.57/0.78 | (distinct_lines @ X0 @ X1))),
% 0.57/0.78 inference('sup-', [status(thm)], [zip_derived_cl47, zip_derived_cl13])).
% 0.57/0.78 thf(zip_derived_cl27, plain, (~ (distinct_lines @ sk_ @ sk__2)),
% 0.57/0.78 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.57/0.78 thf(zip_derived_cl89, plain,
% 0.57/0.78 (( (convergent_lines @ sk__2 @ sk__2) | (convergent_lines @ sk__1 @ sk_))),
% 0.57/0.78 inference('sup-', [status(thm)], [zip_derived_cl60, zip_derived_cl27])).
% 0.57/0.78 thf(apart3, axiom, (![X:$i]: ( ~( convergent_lines @ X @ X ) ))).
% 0.57/0.78 thf(zip_derived_cl2, plain, (![X0 : $i]: ~ (convergent_lines @ X0 @ X0)),
% 0.57/0.78 inference('cnf', [status(esa)], [apart3])).
% 0.57/0.78 thf(zip_derived_cl90, plain, ( (convergent_lines @ sk__1 @ sk_)),
% 0.57/0.78 inference('clc', [status(thm)], [zip_derived_cl89, zip_derived_cl2])).
% 0.57/0.78 thf(zip_derived_cl5, plain,
% 0.57/0.78 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.57/0.78 (~ (convergent_lines @ X0 @ X1)
% 0.57/0.78 | (convergent_lines @ X0 @ X2)
% 0.57/0.78 | (convergent_lines @ X1 @ X2))),
% 0.57/0.78 inference('cnf', [status(esa)], [ax6])).
% 0.57/0.78 thf(zip_derived_cl91, plain,
% 0.57/0.78 (![X0 : $i]:
% 0.57/0.78 ( (convergent_lines @ sk_ @ X0) | (convergent_lines @ sk__1 @ X0))),
% 0.57/0.78 inference('sup-', [status(thm)], [zip_derived_cl90, zip_derived_cl5])).
% 0.57/0.78 thf(zip_derived_cl2, plain, (![X0 : $i]: ~ (convergent_lines @ X0 @ X0)),
% 0.57/0.78 inference('cnf', [status(esa)], [apart3])).
% 0.57/0.78 thf(zip_derived_cl93, plain, ( (convergent_lines @ sk_ @ sk__1)),
% 0.57/0.78 inference('sup-', [status(thm)], [zip_derived_cl91, zip_derived_cl2])).
% 0.57/0.78 thf(zip_derived_cl96, plain,
% 0.57/0.78 (![X0 : $i]:
% 0.57/0.78 ( (zip_tseitin_0 @ X0 @ sk__1) | (zip_tseitin_1 @ X0 @ sk_))),
% 0.57/0.78 inference('demod', [status(thm)], [zip_derived_cl52, zip_derived_cl93])).
% 0.57/0.78 thf(zip_derived_cl20, plain,
% 0.57/0.78 (![X0 : $i, X1 : $i]:
% 0.57/0.78 ( (convergent_lines @ X0 @ X1) | ~ (zip_tseitin_1 @ X1 @ X0))),
% 0.57/0.78 inference('cnf', [status(esa)], [zf_stmt_2])).
% 0.57/0.78 thf(zip_derived_cl115, plain,
% 0.57/0.78 (![X0 : $i]:
% 0.57/0.78 ( (zip_tseitin_0 @ X0 @ sk__1) | (convergent_lines @ sk_ @ X0))),
% 0.57/0.78 inference('sup-', [status(thm)], [zip_derived_cl96, zip_derived_cl20])).
% 0.57/0.78 thf(zip_derived_cl19, plain,
% 0.57/0.78 (![X0 : $i, X1 : $i]:
% 0.57/0.78 ( (unorthogonal_lines @ X0 @ X1) | ~ (zip_tseitin_0 @ X1 @ X0))),
% 0.57/0.78 inference('cnf', [status(esa)], [zf_stmt_4])).
% 0.57/0.78 thf(zip_derived_cl26, plain, (~ (unorthogonal_lines @ sk__1 @ sk__2)),
% 0.57/0.78 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.57/0.78 thf(zip_derived_cl29, plain, (~ (zip_tseitin_0 @ sk__2 @ sk__1)),
% 0.57/0.78 inference('sup-', [status(thm)], [zip_derived_cl19, zip_derived_cl26])).
% 0.57/0.78 thf(zip_derived_cl123, plain, ( (convergent_lines @ sk_ @ sk__2)),
% 0.57/0.78 inference('sup-', [status(thm)], [zip_derived_cl115, zip_derived_cl29])).
% 0.57/0.78 thf(zip_derived_cl5, plain,
% 0.57/0.78 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.57/0.78 (~ (convergent_lines @ X0 @ X1)
% 0.57/0.78 | (convergent_lines @ X0 @ X2)
% 0.57/0.78 | (convergent_lines @ X1 @ X2))),
% 0.57/0.78 inference('cnf', [status(esa)], [ax6])).
% 0.57/0.78 thf(zip_derived_cl124, plain,
% 0.57/0.78 (![X0 : $i]:
% 0.57/0.78 ( (convergent_lines @ sk__2 @ X0) | (convergent_lines @ sk_ @ X0))),
% 0.57/0.78 inference('sup-', [status(thm)], [zip_derived_cl123, zip_derived_cl5])).
% 0.57/0.78 thf(zip_derived_cl13, plain,
% 0.57/0.78 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.57/0.78 (~ (convergent_lines @ X0 @ X1)
% 0.57/0.78 | (distinct_lines @ X1 @ X2)
% 0.57/0.78 | (convergent_lines @ X0 @ X2))),
% 0.57/0.78 inference('cnf', [status(esa)], [ceq3])).
% 0.57/0.78 thf(zip_derived_cl131, plain,
% 0.57/0.78 (![X0 : $i, X1 : $i]:
% 0.57/0.78 ( (convergent_lines @ sk_ @ X0)
% 0.57/0.78 | (convergent_lines @ sk__2 @ X1)
% 0.57/0.78 | (distinct_lines @ X0 @ X1))),
% 0.57/0.78 inference('sup-', [status(thm)], [zip_derived_cl124, zip_derived_cl13])).
% 0.57/0.78 thf(zip_derived_cl27, plain, (~ (distinct_lines @ sk_ @ sk__2)),
% 0.57/0.78 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.57/0.78 thf(zip_derived_cl148, plain,
% 0.57/0.78 (( (convergent_lines @ sk__2 @ sk__2) | (convergent_lines @ sk_ @ sk_))),
% 0.57/0.78 inference('sup-', [status(thm)], [zip_derived_cl131, zip_derived_cl27])).
% 0.57/0.78 thf(zip_derived_cl2, plain, (![X0 : $i]: ~ (convergent_lines @ X0 @ X0)),
% 0.57/0.78 inference('cnf', [status(esa)], [apart3])).
% 0.57/0.78 thf(zip_derived_cl149, plain, ( (convergent_lines @ sk__2 @ sk__2)),
% 0.57/0.78 inference('demod', [status(thm)], [zip_derived_cl148, zip_derived_cl2])).
% 0.57/0.78 thf(zip_derived_cl2, plain, (![X0 : $i]: ~ (convergent_lines @ X0 @ X0)),
% 0.57/0.78 inference('cnf', [status(esa)], [apart3])).
% 0.57/0.78 thf(zip_derived_cl150, plain, ($false),
% 0.57/0.78 inference('sup-', [status(thm)], [zip_derived_cl149, zip_derived_cl2])).
% 0.57/0.78
% 0.57/0.78 % SZS output end Refutation
% 0.57/0.78
% 0.57/0.78
% 0.57/0.78 % Terminating...
% 0.57/0.84 % Runner terminated.
% 0.57/0.85 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------