%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GEO076-4 : TPTP v9.2.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.fRdULJdZPP true
% Computer : n031.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 04:33:48 PM UTC 2025
% Result : Unsatisfiable 0.38s 0.91s
% Output : Refutation 0.38s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.18 % Problem : GEO076-4 : TPTP v9.2.0. Released v1.0.0.
% 0.08/0.19 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.fRdULJdZPP true
% 0.10/0.39 % Computer : n031.cluster.edu
% 0.10/0.39 % Model : x86_64 x86_64
% 0.10/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.39 % Memory : 8042.1875MB
% 0.10/0.39 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.39 % CPULimit : 300
% 0.10/0.39 % WCLimit : 300
% 0.10/0.39 % DateTime : Wed Oct 1 17:41:08 EDT 2025
% 0.10/0.39 % CPUTime :
% 0.10/0.39 % Running portfolio for 300 s
% 0.10/0.39 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.40 % Number of cores: 8
% 0.10/0.41 % Python version: Python 3.6.8
% 0.10/0.41 % Running in FO mode
% 0.36/0.63 % Total configuration time : 435
% 0.36/0.63 % Estimated wc time : 1092
% 0.36/0.63 % Estimated cpu time (7 cpus) : 156.0
% 0.36/0.72 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.36/0.74 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.36/0.75 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.36/0.75 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.36/0.75 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.36/0.75 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.36/0.76 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.38/0.91 % Solved by fo/fo1_av.sh.
% 0.38/0.91 % done 64 iterations in 0.092s
% 0.38/0.91 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.38/0.91 % SZS output start Refutation
% 0.38/0.91 thf(at_least_one_line_type, type, at_least_one_line: $i).
% 0.38/0.91 thf(point_2_on_line_type, type, point_2_on_line: $i > $i).
% 0.38/0.91 thf(a_point_type, type, a_point: $i).
% 0.38/0.91 thf(line_from_to_type, type, line_from_to: $i > $i > $i).
% 0.38/0.91 thf(line_type, type, line: $i > $o).
% 0.38/0.91 thf(point_1_on_line_type, type, point_1_on_line: $i > $i).
% 0.38/0.91 thf(on_type, type, on: $i > $i > $o).
% 0.38/0.91 thf(point_not_on_line_type, type, point_not_on_line: $i > $i).
% 0.38/0.91 thf(point_type, type, point: $i > $o).
% 0.38/0.91 thf(axiom_G2B, axiom,
% 0.38/0.91 (( on @ ( point_2_on_line @ Y1 ) @ Y1 ) | ( ~( line @ Y1 ) ))).
% 0.38/0.91 thf(zip_derived_cl5, plain,
% 0.38/0.91 (![X0 : $i]: ( (on @ (point_2_on_line @ X0) @ X0) | ~ (line @ X0))),
% 0.38/0.91 inference('cnf', [status(esa)], [axiom_G2B])).
% 0.38/0.91 thf(axiom_G3B, axiom,
% 0.38/0.91 (( point @ ( point_not_on_line @ Y1 ) ) | ( ~( line @ Y1 ) ))).
% 0.38/0.91 thf(zip_derived_cl10, plain,
% 0.38/0.91 (![X0 : $i]: ( (point @ (point_not_on_line @ X0)) | ~ (line @ X0))),
% 0.38/0.91 inference('cnf', [status(esa)], [axiom_G3B])).
% 0.38/0.91 thf(zip_derived_cl5, plain,
% 0.38/0.91 (![X0 : $i]: ( (on @ (point_2_on_line @ X0) @ X0) | ~ (line @ X0))),
% 0.38/0.91 inference('cnf', [status(esa)], [axiom_G2B])).
% 0.38/0.91 thf(axiom_G1A, axiom,
% 0.38/0.91 (( on @ Z1 @ ( line_from_to @ Z1 @ Z2 ) ) | ( ( Z1 ) = ( Z2 ) ) |
% 0.38/0.91 ( ~( point @ Z1 ) ) | ( ~( point @ Z2 ) ))).
% 0.38/0.91 thf(zip_derived_cl0, plain,
% 0.38/0.91 (![X0 : $i, X1 : $i]:
% 0.38/0.91 ( (on @ X0 @ (line_from_to @ X0 @ X1))
% 0.38/0.91 | ((X0) = (X1))
% 0.38/0.91 | ~ (point @ X0)
% 0.38/0.91 | ~ (point @ X1))),
% 0.38/0.91 inference('cnf', [status(esa)], [axiom_G1A])).
% 0.38/0.91 thf(prove_point_is_not_on_every_line, conjecture,
% 0.38/0.91 (~( ( on @ a_point @ Line ) | ( ~( line @ Line ) ) ))).
% 0.38/0.91 thf(zf_stmt_0, negated_conjecture,
% 0.38/0.91 (( on @ a_point @ Line ) | ( ~( line @ Line ) )),
% 0.38/0.91 inference('cnf.neg', [status(esa)], [prove_point_is_not_on_every_line])).
% 0.38/0.91 thf(zip_derived_cl32, plain,
% 0.38/0.91 (![X0 : $i]: ( (on @ a_point @ X0) | ~ (line @ X0))),
% 0.38/0.91 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.38/0.91 thf(axiom_G4A, axiom, (line @ at_least_one_line)).
% 0.38/0.91 thf(zip_derived_cl11, plain, ( (line @ at_least_one_line)),
% 0.38/0.91 inference('cnf', [status(esa)], [axiom_G4A])).
% 0.38/0.91 thf(zip_derived_cl33, plain, ( (on @ a_point @ at_least_one_line)),
% 0.38/0.91 inference('s_sup+', [status(thm)], [zip_derived_cl32, zip_derived_cl11])).
% 0.38/0.91 thf(axiom_G1D, axiom,
% 0.38/0.91 (( ~( on @ Z1 @ Y3 ) ) | ( ( Z1 ) = ( Z2 ) ) | ( ~( on @ Z2 @ Y3 ) ) |
% 0.38/0.91 ( ( Y3 ) = ( Y4 ) ) | ( ~( on @ Z1 @ Y4 ) ) | ( ~( on @ Z2 @ Y4 ) ) |
% 0.38/0.91 ( ~( point @ Z1 ) ) | ( ~( point @ Z2 ) ) | ( ~( line @ Y3 ) ) |
% 0.38/0.91 ( ~( line @ Y4 ) ))).
% 0.38/0.91 thf(zip_derived_cl3, plain,
% 0.38/0.91 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.38/0.91 (~ (on @ X0 @ X1)
% 0.38/0.91 | ((X0) = (X2))
% 0.38/0.91 | ~ (on @ X2 @ X1)
% 0.38/0.91 | ((X1) = (X3))
% 0.38/0.91 | ~ (on @ X0 @ X3)
% 0.38/0.91 | ~ (on @ X2 @ X3)
% 0.38/0.91 | ~ (point @ X0)
% 0.38/0.91 | ~ (point @ X2)
% 0.38/0.91 | ~ (line @ X1)
% 0.38/0.91 | ~ (line @ X3))),
% 0.38/0.91 inference('cnf', [status(esa)], [axiom_G1D])).
% 0.38/0.91 thf(zip_derived_cl43, plain,
% 0.38/0.91 (![X0 : $i, X1 : $i]:
% 0.38/0.91 (((a_point) = (X0))
% 0.38/0.91 | ~ (on @ X0 @ at_least_one_line)
% 0.38/0.91 | ((at_least_one_line) = (X1))
% 0.38/0.91 | ~ (on @ a_point @ X1)
% 0.38/0.91 | ~ (on @ X0 @ X1)
% 0.38/0.91 | ~ (point @ a_point)
% 0.38/0.91 | ~ (point @ X0)
% 0.38/0.91 | ~ (line @ at_least_one_line)
% 0.38/0.91 | ~ (line @ X1))),
% 0.38/0.91 inference('s_sup-', [status(thm)], [zip_derived_cl33, zip_derived_cl3])).
% 0.38/0.91 thf(there_is_a_point, axiom, (point @ a_point)).
% 0.38/0.91 thf(zip_derived_cl31, plain, ( (point @ a_point)),
% 0.38/0.91 inference('cnf', [status(esa)], [there_is_a_point])).
% 0.38/0.91 thf(zip_derived_cl11, plain, ( (line @ at_least_one_line)),
% 0.38/0.91 inference('cnf', [status(esa)], [axiom_G4A])).
% 0.38/0.91 thf(zip_derived_cl55, plain,
% 0.38/0.91 (![X0 : $i, X1 : $i]:
% 0.38/0.91 (((a_point) = (X0))
% 0.38/0.91 | ~ (on @ X0 @ at_least_one_line)
% 0.38/0.91 | ((at_least_one_line) = (X1))
% 0.38/0.91 | ~ (on @ a_point @ X1)
% 0.38/0.91 | ~ (on @ X0 @ X1)
% 0.38/0.91 | ~ (point @ X0)
% 0.38/0.91 | ~ (line @ X1))),
% 0.38/0.91 inference('demod', [status(thm)],
% 0.38/0.91 [zip_derived_cl43, zip_derived_cl31, zip_derived_cl11])).
% 0.38/0.91 thf(zip_derived_cl32, plain,
% 0.38/0.91 (![X0 : $i]: ( (on @ a_point @ X0) | ~ (line @ X0))),
% 0.38/0.91 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.38/0.91 thf(zip_derived_cl56, plain,
% 0.38/0.91 (![X0 : $i, X1 : $i]:
% 0.38/0.91 (~ (line @ X1)
% 0.38/0.91 | ~ (point @ X0)
% 0.38/0.91 | ~ (on @ X0 @ X1)
% 0.38/0.91 | ((at_least_one_line) = (X1))
% 0.38/0.91 | ~ (on @ X0 @ at_least_one_line)
% 0.38/0.91 | ((a_point) = (X0)))),
% 0.38/0.91 inference('clc', [status(thm)], [zip_derived_cl55, zip_derived_cl32])).
% 0.38/0.91 thf(zip_derived_cl57, plain,
% 0.38/0.91 (![X0 : $i, X1 : $i]:
% 0.38/0.91 (~ (point @ X0)
% 0.38/0.91 | ~ (point @ X1)
% 0.38/0.91 | ((X1) = (X0))
% 0.38/0.91 | ~ (line @ (line_from_to @ X1 @ X0))
% 0.38/0.91 | ~ (point @ X1)
% 0.38/0.91 | ((at_least_one_line) = (line_from_to @ X1 @ X0))
% 0.38/0.91 | ~ (on @ X1 @ at_least_one_line)
% 0.38/0.91 | ((a_point) = (X1)))),
% 0.38/0.91 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl56])).
% 0.38/0.91 thf(zip_derived_cl65, plain,
% 0.38/0.91 (![X0 : $i, X1 : $i]:
% 0.38/0.91 (((a_point) = (X1))
% 0.38/0.91 | ~ (on @ X1 @ at_least_one_line)
% 0.38/0.91 | ((at_least_one_line) = (line_from_to @ X1 @ X0))
% 0.38/0.91 | ~ (line @ (line_from_to @ X1 @ X0))
% 0.38/0.91 | ((X1) = (X0))
% 0.38/0.91 | ~ (point @ X1)
% 0.38/0.91 | ~ (point @ X0))),
% 0.38/0.91 inference('simplify', [status(thm)], [zip_derived_cl57])).
% 0.38/0.91 thf(axiom_G1C, axiom,
% 0.38/0.91 (( line @ ( line_from_to @ Z1 @ Z2 ) ) | ( ( Z1 ) = ( Z2 ) ) |
% 0.38/0.91 ( ~( point @ Z1 ) ) | ( ~( point @ Z2 ) ))).
% 0.38/0.91 thf(zip_derived_cl2, plain,
% 0.38/0.91 (![X0 : $i, X1 : $i]:
% 0.38/0.91 ( (line @ (line_from_to @ X0 @ X1))
% 0.38/0.91 | ((X0) = (X1))
% 0.38/0.91 | ~ (point @ X0)
% 0.38/0.91 | ~ (point @ X1))),
% 0.38/0.91 inference('cnf', [status(esa)], [axiom_G1C])).
% 0.38/0.91 thf(zip_derived_cl92, plain,
% 0.38/0.91 (![X0 : $i, X1 : $i]:
% 0.38/0.91 (~ (point @ X0)
% 0.38/0.91 | ~ (point @ X1)
% 0.38/0.91 | ((X1) = (X0))
% 0.38/0.91 | ((at_least_one_line) = (line_from_to @ X1 @ X0))
% 0.38/0.91 | ~ (on @ X1 @ at_least_one_line)
% 0.38/0.91 | ((a_point) = (X1)))),
% 0.38/0.91 inference('clc', [status(thm)], [zip_derived_cl65, zip_derived_cl2])).
% 0.38/0.91 thf(axiom_G1B, axiom,
% 0.38/0.91 (( on @ Z2 @ ( line_from_to @ Z1 @ Z2 ) ) | ( ( Z1 ) = ( Z2 ) ) |
% 0.38/0.91 ( ~( point @ Z1 ) ) | ( ~( point @ Z2 ) ))).
% 0.38/0.91 thf(zip_derived_cl1, plain,
% 0.38/0.91 (![X0 : $i, X1 : $i]:
% 0.38/0.91 ( (on @ X0 @ (line_from_to @ X1 @ X0))
% 0.38/0.91 | ((X1) = (X0))
% 0.38/0.91 | ~ (point @ X1)
% 0.38/0.91 | ~ (point @ X0))),
% 0.38/0.91 inference('cnf', [status(esa)], [axiom_G1B])).
% 0.38/0.91 thf(zip_derived_cl95, plain,
% 0.38/0.91 (![X0 : $i, X1 : $i]:
% 0.38/0.91 (((a_point) = (X1))
% 0.38/0.91 | ~ (on @ X1 @ at_least_one_line)
% 0.38/0.91 | ((X1) = (X0))
% 0.38/0.91 | ~ (point @ X1)
% 0.38/0.91 | ~ (point @ X0)
% 0.38/0.91 | (on @ X0 @ at_least_one_line)
% 0.38/0.91 | ((X1) = (X0))
% 0.38/0.91 | ~ (point @ X1)
% 0.38/0.91 | ~ (point @ X0))),
% 0.38/0.91 inference('s_sup+', [status(thm)], [zip_derived_cl92, zip_derived_cl1])).
% 0.38/0.91 thf(zip_derived_cl99, plain,
% 0.38/0.91 (![X0 : $i, X1 : $i]:
% 0.38/0.91 ( (on @ X0 @ at_least_one_line)
% 0.38/0.91 | ~ (point @ X0)
% 0.38/0.91 | ~ (point @ X1)
% 0.38/0.91 | ((X1) = (X0))
% 0.38/0.91 | ~ (on @ X1 @ at_least_one_line)
% 0.38/0.91 | ((a_point) = (X1)))),
% 0.38/0.91 inference('simplify', [status(thm)], [zip_derived_cl95])).
% 0.38/0.91 thf(zip_derived_cl107, plain,
% 0.38/0.91 (![X0 : $i]:
% 0.38/0.91 (~ (line @ at_least_one_line)
% 0.38/0.91 | (on @ X0 @ at_least_one_line)
% 0.38/0.91 | ~ (point @ X0)
% 0.38/0.91 | ~ (point @ (point_2_on_line @ at_least_one_line))
% 0.38/0.91 | ((point_2_on_line @ at_least_one_line) = (X0))
% 0.38/0.91 | ((a_point) = (point_2_on_line @ at_least_one_line)))),
% 0.38/0.91 inference('s_sup-', [status(thm)], [zip_derived_cl5, zip_derived_cl99])).
% 0.38/0.91 thf(zip_derived_cl11, plain, ( (line @ at_least_one_line)),
% 0.38/0.91 inference('cnf', [status(esa)], [axiom_G4A])).
% 0.38/0.91 thf(zip_derived_cl113, plain,
% 0.38/0.91 (![X0 : $i]:
% 0.38/0.91 ( (on @ X0 @ at_least_one_line)
% 0.38/0.91 | ~ (point @ X0)
% 0.38/0.91 | ~ (point @ (point_2_on_line @ at_least_one_line))
% 0.38/0.91 | ((point_2_on_line @ at_least_one_line) = (X0))
% 0.38/0.91 | ((a_point) = (point_2_on_line @ at_least_one_line)))),
% 0.38/0.91 inference('demod', [status(thm)], [zip_derived_cl107, zip_derived_cl11])).
% 0.38/0.91 thf(zip_derived_cl189, plain,
% 0.38/0.91 ((![X0 : $i]:
% 0.38/0.91 (~ (point @ X0)
% 0.38/0.91 | (on @ X0 @ at_least_one_line)
% 0.38/0.91 | ((point_2_on_line @ at_least_one_line) = (X0))))
% 0.38/0.91 <= ((![X0 : $i]:
% 0.38/0.91 (~ (point @ X0)
% 0.38/0.91 | (on @ X0 @ at_least_one_line)
% 0.38/0.91 | ((point_2_on_line @ at_least_one_line) = (X0)))))),
% 0.38/0.91 inference('split', [status(esa)], [zip_derived_cl113])).
% 0.38/0.91 thf(axiom_G2D, axiom,
% 0.38/0.91 (( point @ ( point_2_on_line @ Y1 ) ) | ( ~( line @ Y1 ) ))).
% 0.38/0.91 thf(zip_derived_cl7, plain,
% 0.38/0.91 (![X0 : $i]: ( (point @ (point_2_on_line @ X0)) | ~ (line @ X0))),
% 0.38/0.91 inference('cnf', [status(esa)], [axiom_G2D])).
% 0.38/0.91 thf(zip_derived_cl190, plain,
% 0.38/0.91 ((~ (point @ (point_2_on_line @ at_least_one_line)))
% 0.38/0.91 <= (~ ( (point @ (point_2_on_line @ at_least_one_line))))),
% 0.38/0.91 inference('split', [status(esa)], [zip_derived_cl113])).
% 0.38/0.91 thf(zip_derived_cl201, plain,
% 0.38/0.91 ((~ (line @ at_least_one_line))
% 0.38/0.91 <= (~ ( (point @ (point_2_on_line @ at_least_one_line))))),
% 0.38/0.91 inference('s_sup-', [status(thm)], [zip_derived_cl7, zip_derived_cl190])).
% 0.38/0.91 thf(zip_derived_cl11, plain, ( (line @ at_least_one_line)),
% 0.38/0.91 inference('cnf', [status(esa)], [axiom_G4A])).
% 0.38/0.91 thf('0', plain, (( (point @ (point_2_on_line @ at_least_one_line)))),
% 0.38/0.91 inference('demod', [status(thm)], [zip_derived_cl201, zip_derived_cl11])).
% 0.38/0.91 thf(zip_derived_cl191, plain,
% 0.38/0.91 ((((a_point) = (point_2_on_line @ at_least_one_line)))
% 0.38/0.91 <= ((((a_point) = (point_2_on_line @ at_least_one_line))))),
% 0.38/0.91 inference('split', [status(esa)], [zip_derived_cl113])).
% 0.38/0.91 thf(axiom_G2E, axiom,
% 0.38/0.91 (( ( point_1_on_line @ Y1 ) != ( point_2_on_line @ Y1 ) ) |
% 0.38/0.91 ( ~( line @ Y1 ) ))).
% 0.38/0.91 thf(zip_derived_cl8, plain,
% 0.38/0.91 (![X0 : $i]:
% 0.38/0.91 (((point_1_on_line @ X0) != (point_2_on_line @ X0)) | ~ (line @ X0))),
% 0.38/0.91 inference('cnf', [status(esa)], [axiom_G2E])).
% 0.38/0.91 thf(zip_derived_cl206, plain,
% 0.38/0.91 (((((point_1_on_line @ at_least_one_line) != (a_point))
% 0.38/0.91 | ~ (line @ at_least_one_line)))
% 0.38/0.91 <= ((((a_point) = (point_2_on_line @ at_least_one_line))))),
% 0.38/0.91 inference('s_sup-', [status(thm)], [zip_derived_cl191, zip_derived_cl8])).
% 0.38/0.91 thf(axiom_G2A, axiom,
% 0.38/0.91 (( on @ ( point_1_on_line @ Y1 ) @ Y1 ) | ( ~( line @ Y1 ) ))).
% 0.38/0.91 thf(zip_derived_cl4, plain,
% 0.38/0.91 (![X0 : $i]: ( (on @ (point_1_on_line @ X0) @ X0) | ~ (line @ X0))),
% 0.38/0.91 inference('cnf', [status(esa)], [axiom_G2A])).
% 0.38/0.91 thf(zip_derived_cl99, plain,
% 0.38/0.91 (![X0 : $i, X1 : $i]:
% 0.38/0.91 ( (on @ X0 @ at_least_one_line)
% 0.38/0.91 | ~ (point @ X0)
% 0.38/0.91 | ~ (point @ X1)
% 0.38/0.91 | ((X1) = (X0))
% 0.38/0.91 | ~ (on @ X1 @ at_least_one_line)
% 0.38/0.91 | ((a_point) = (X1)))),
% 0.38/0.91 inference('simplify', [status(thm)], [zip_derived_cl95])).
% 0.38/0.91 thf(zip_derived_cl106, plain,
% 0.38/0.91 (![X0 : $i]:
% 0.38/0.91 (~ (line @ at_least_one_line)
% 0.38/0.91 | (on @ X0 @ at_least_one_line)
% 0.38/0.91 | ~ (point @ X0)
% 0.38/0.91 | ~ (point @ (point_1_on_line @ at_least_one_line))
% 0.38/0.91 | ((point_1_on_line @ at_least_one_line) = (X0))
% 0.38/0.91 | ((a_point) = (point_1_on_line @ at_least_one_line)))),
% 0.38/0.91 inference('s_sup-', [status(thm)], [zip_derived_cl4, zip_derived_cl99])).
% 0.38/0.91 thf(zip_derived_cl11, plain, ( (line @ at_least_one_line)),
% 0.38/0.91 inference('cnf', [status(esa)], [axiom_G4A])).
% 0.38/0.91 thf(zip_derived_cl112, plain,
% 0.38/0.91 (![X0 : $i]:
% 0.38/0.91 ( (on @ X0 @ at_least_one_line)
% 0.38/0.91 | ~ (point @ X0)
% 0.38/0.91 | ~ (point @ (point_1_on_line @ at_least_one_line))
% 0.38/0.91 | ((point_1_on_line @ at_least_one_line) = (X0))
% 0.38/0.91 | ((a_point) = (point_1_on_line @ at_least_one_line)))),
% 0.38/0.91 inference('demod', [status(thm)], [zip_derived_cl106, zip_derived_cl11])).
% 0.38/0.91 thf(zip_derived_cl122, plain,
% 0.38/0.91 ((((a_point) = (point_1_on_line @ at_least_one_line)))
% 0.38/0.91 <= ((((a_point) = (point_1_on_line @ at_least_one_line))))),
% 0.38/0.91 inference('split', [status(esa)], [zip_derived_cl112])).
% 0.38/0.91 thf(axiom_G2C, axiom,
% 0.38/0.91 (( point @ ( point_1_on_line @ Y1 ) ) | ( ~( line @ Y1 ) ))).
% 0.38/0.91 thf(zip_derived_cl6, plain,
% 0.38/0.91 (![X0 : $i]: ( (point @ (point_1_on_line @ X0)) | ~ (line @ X0))),
% 0.38/0.91 inference('cnf', [status(esa)], [axiom_G2C])).
% 0.38/0.91 thf(zip_derived_cl121, plain,
% 0.38/0.91 ((~ (point @ (point_1_on_line @ at_least_one_line)))
% 0.38/0.91 <= (~ ( (point @ (point_1_on_line @ at_least_one_line))))),
% 0.38/0.91 inference('split', [status(esa)], [zip_derived_cl112])).
% 0.38/0.91 thf(zip_derived_cl138, plain,
% 0.38/0.91 ((~ (line @ at_least_one_line))
% 0.38/0.91 <= (~ ( (point @ (point_1_on_line @ at_least_one_line))))),
% 0.38/0.91 inference('s_sup-', [status(thm)], [zip_derived_cl6, zip_derived_cl121])).
% 0.38/0.91 thf(zip_derived_cl11, plain, ( (line @ at_least_one_line)),
% 0.38/0.91 inference('cnf', [status(esa)], [axiom_G4A])).
% 0.38/0.91 thf('1', plain, (( (point @ (point_1_on_line @ at_least_one_line)))),
% 0.38/0.91 inference('demod', [status(thm)], [zip_derived_cl138, zip_derived_cl11])).
% 0.38/0.91 thf(zip_derived_cl4, plain,
% 0.38/0.91 (![X0 : $i]: ( (on @ (point_1_on_line @ X0) @ X0) | ~ (line @ X0))),
% 0.38/0.91 inference('cnf', [status(esa)], [axiom_G2A])).
% 0.38/0.91 thf(zip_derived_cl10, plain,
% 0.38/0.91 (![X0 : $i]: ( (point @ (point_not_on_line @ X0)) | ~ (line @ X0))),
% 0.38/0.91 inference('cnf', [status(esa)], [axiom_G3B])).
% 0.38/0.91 thf(zip_derived_cl120, plain,
% 0.38/0.91 ((![X0 : $i]:
% 0.38/0.91 (~ (point @ X0)
% 0.38/0.91 | (on @ X0 @ at_least_one_line)
% 0.38/0.91 | ((point_1_on_line @ at_least_one_line) = (X0))))
% 0.38/0.91 <= ((![X0 : $i]:
% 0.38/0.91 (~ (point @ X0)
% 0.38/0.91 | (on @ X0 @ at_least_one_line)
% 0.38/0.91 | ((point_1_on_line @ at_least_one_line) = (X0)))))),
% 0.38/0.91 inference('split', [status(esa)], [zip_derived_cl112])).
% 0.38/0.91 thf(zip_derived_cl125, plain,
% 0.38/0.91 ((![X0 : $i]:
% 0.38/0.91 (~ (line @ X0)
% 0.38/0.91 | (on @ (point_not_on_line @ X0) @ at_least_one_line)
% 0.38/0.91 | ((point_1_on_line @ at_least_one_line) = (point_not_on_line @ X0))))
% 0.38/0.91 <= ((![X0 : $i]:
% 0.38/0.91 (~ (point @ X0)
% 0.38/0.91 | (on @ X0 @ at_least_one_line)
% 0.38/0.91 | ((point_1_on_line @ at_least_one_line) = (X0)))))),
% 0.38/0.91 inference('s_sup-', [status(thm)], [zip_derived_cl10, zip_derived_cl120])).
% 0.38/0.91 thf(axiom_G3A, axiom,
% 0.38/0.91 (( ~( on @ ( point_not_on_line @ Y1 ) @ Y1 ) ) | ( ~( line @ Y1 ) ))).
% 0.38/0.91 thf(zip_derived_cl9, plain,
% 0.38/0.91 (![X0 : $i]: (~ (on @ (point_not_on_line @ X0) @ X0) | ~ (line @ X0))),
% 0.38/0.91 inference('cnf', [status(esa)], [axiom_G3A])).
% 0.38/0.91 thf(zip_derived_cl157, plain,
% 0.38/0.91 (((((point_1_on_line @ at_least_one_line)
% 0.38/0.91 = (point_not_on_line @ at_least_one_line))
% 0.38/0.91 | ~ (line @ at_least_one_line)
% 0.38/0.91 | ~ (line @ at_least_one_line)))
% 0.38/0.91 <= ((![X0 : $i]:
% 0.38/0.91 (~ (point @ X0)
% 0.38/0.91 | (on @ X0 @ at_least_one_line)
% 0.38/0.91 | ((point_1_on_line @ at_least_one_line) = (X0)))))),
% 0.38/0.91 inference('s_sup-', [status(thm)], [zip_derived_cl125, zip_derived_cl9])).
% 0.38/0.91 thf(zip_derived_cl11, plain, ( (line @ at_least_one_line)),
% 0.38/0.91 inference('cnf', [status(esa)], [axiom_G4A])).
% 0.38/0.91 thf(zip_derived_cl11, plain, ( (line @ at_least_one_line)),
% 0.38/0.91 inference('cnf', [status(esa)], [axiom_G4A])).
% 0.38/0.91 thf(zip_derived_cl160, plain,
% 0.38/0.91 ((((point_1_on_line @ at_least_one_line)
% 0.38/0.91 = (point_not_on_line @ at_least_one_line)))
% 0.38/0.91 <= ((![X0 : $i]:
% 0.38/0.91 (~ (point @ X0)
% 0.38/0.91 | (on @ X0 @ at_least_one_line)
% 0.38/0.91 | ((point_1_on_line @ at_least_one_line) = (X0)))))),
% 0.38/0.91 inference('demod', [status(thm)],
% 0.38/0.91 [zip_derived_cl157, zip_derived_cl11, zip_derived_cl11])).
% 0.38/0.91 thf(zip_derived_cl9, plain,
% 0.38/0.91 (![X0 : $i]: (~ (on @ (point_not_on_line @ X0) @ X0) | ~ (line @ X0))),
% 0.38/0.91 inference('cnf', [status(esa)], [axiom_G3A])).
% 0.38/0.91 thf(zip_derived_cl161, plain,
% 0.38/0.91 (((~ (on @ (point_1_on_line @ at_least_one_line) @ at_least_one_line)
% 0.38/0.91 | ~ (line @ at_least_one_line)))
% 0.38/0.91 <= ((![X0 : $i]:
% 0.38/0.91 (~ (point @ X0)
% 0.38/0.91 | (on @ X0 @ at_least_one_line)
% 0.38/0.91 | ((point_1_on_line @ at_least_one_line) = (X0)))))),
% 0.38/0.91 inference('s_sup-', [status(thm)], [zip_derived_cl160, zip_derived_cl9])).
% 0.38/0.91 thf(zip_derived_cl11, plain, ( (line @ at_least_one_line)),
% 0.38/0.91 inference('cnf', [status(esa)], [axiom_G4A])).
% 0.38/0.91 thf(zip_derived_cl164, plain,
% 0.38/0.91 ((~ (on @ (point_1_on_line @ at_least_one_line) @ at_least_one_line))
% 0.38/0.91 <= ((![X0 : $i]:
% 0.38/0.91 (~ (point @ X0)
% 0.38/0.91 | (on @ X0 @ at_least_one_line)
% 0.38/0.91 | ((point_1_on_line @ at_least_one_line) = (X0)))))),
% 0.38/0.91 inference('demod', [status(thm)], [zip_derived_cl161, zip_derived_cl11])).
% 0.38/0.91 thf(zip_derived_cl168, plain,
% 0.38/0.91 ((~ (line @ at_least_one_line))
% 0.38/0.91 <= ((![X0 : $i]:
% 0.38/0.91 (~ (point @ X0)
% 0.38/0.91 | (on @ X0 @ at_least_one_line)
% 0.38/0.91 | ((point_1_on_line @ at_least_one_line) = (X0)))))),
% 0.38/0.91 inference('s_sup-', [status(thm)], [zip_derived_cl4, zip_derived_cl164])).
% 0.38/0.91 thf(zip_derived_cl11, plain, ( (line @ at_least_one_line)),
% 0.38/0.91 inference('cnf', [status(esa)], [axiom_G4A])).
% 0.38/0.91 thf('2', plain,
% 0.38/0.91 (~
% 0.38/0.91 (![X0 : $i]:
% 0.38/0.91 (~ (point @ X0)
% 0.38/0.91 | (on @ X0 @ at_least_one_line)
% 0.38/0.91 | ((point_1_on_line @ at_least_one_line) = (X0))))),
% 0.38/0.91 inference('demod', [status(thm)], [zip_derived_cl168, zip_derived_cl11])).
% 0.38/0.91 thf('3', plain,
% 0.38/0.91 ((((a_point) = (point_1_on_line @ at_least_one_line))) |
% 0.38/0.91 (![X0 : $i]:
% 0.38/0.91 (~ (point @ X0)
% 0.38/0.91 | (on @ X0 @ at_least_one_line)
% 0.38/0.91 | ((point_1_on_line @ at_least_one_line) = (X0)))) |
% 0.38/0.91 ~ ( (point @ (point_1_on_line @ at_least_one_line)))),
% 0.38/0.91 inference('split', [status(esa)], [zip_derived_cl112])).
% 0.38/0.91 thf('4', plain, ((((a_point) = (point_1_on_line @ at_least_one_line)))),
% 0.38/0.91 inference('sat_resolution*', [status(thm)], ['1', '2', '3'])).
% 0.38/0.91 thf(zip_derived_cl176, plain,
% 0.38/0.91 (((a_point) = (point_1_on_line @ at_least_one_line))),
% 0.38/0.91 inference('simpl_trail', [status(thm)], [zip_derived_cl122, '4'])).
% 0.38/0.91 thf(zip_derived_cl11, plain, ( (line @ at_least_one_line)),
% 0.38/0.91 inference('cnf', [status(esa)], [axiom_G4A])).
% 0.38/0.91 thf(zip_derived_cl210, plain,
% 0.38/0.91 ((((a_point) != (a_point)))
% 0.38/0.91 <= ((((a_point) = (point_2_on_line @ at_least_one_line))))),
% 0.38/0.91 inference('demod', [status(thm)],
% 0.38/0.91 [zip_derived_cl206, zip_derived_cl176, zip_derived_cl11])).
% 0.38/0.91 thf('5', plain, (~ (((a_point) = (point_2_on_line @ at_least_one_line)))),
% 0.38/0.91 inference('simplify', [status(thm)], [zip_derived_cl210])).
% 0.38/0.91 thf('6', plain,
% 0.38/0.91 ((![X0 : $i]:
% 0.38/0.91 (~ (point @ X0)
% 0.38/0.91 | (on @ X0 @ at_least_one_line)
% 0.38/0.91 | ((point_2_on_line @ at_least_one_line) = (X0)))) |
% 0.38/0.91 (((a_point) = (point_2_on_line @ at_least_one_line))) |
% 0.38/0.91 ~ ( (point @ (point_2_on_line @ at_least_one_line)))),
% 0.38/0.91 inference('split', [status(esa)], [zip_derived_cl113])).
% 0.38/0.91 thf('7', plain,
% 0.38/0.91 ((![X0 : $i]:
% 0.38/0.91 (~ (point @ X0)
% 0.38/0.91 | (on @ X0 @ at_least_one_line)
% 0.38/0.91 | ((point_2_on_line @ at_least_one_line) = (X0))))),
% 0.38/0.91 inference('sat_resolution*', [status(thm)], ['0', '5', '6'])).
% 0.38/0.91 thf(zip_derived_cl214, plain,
% 0.38/0.91 (![X0 : $i]:
% 0.38/0.91 (~ (point @ X0)
% 0.38/0.91 | (on @ X0 @ at_least_one_line)
% 0.38/0.91 | ((point_2_on_line @ at_least_one_line) = (X0)))),
% 0.38/0.91 inference('simpl_trail', [status(thm)], [zip_derived_cl189, '7'])).
% 0.38/0.91 thf(zip_derived_cl226, plain,
% 0.38/0.91 (![X0 : $i]:
% 0.38/0.91 (~ (line @ X0)
% 0.38/0.91 | (on @ (point_not_on_line @ X0) @ at_least_one_line)
% 0.38/0.91 | ((point_2_on_line @ at_least_one_line) = (point_not_on_line @ X0)))),
% 0.38/0.91 inference('s_sup-', [status(thm)], [zip_derived_cl10, zip_derived_cl214])).
% 0.38/0.91 thf(zip_derived_cl9, plain,
% 0.38/0.91 (![X0 : $i]: (~ (on @ (point_not_on_line @ X0) @ X0) | ~ (line @ X0))),
% 0.38/0.91 inference('cnf', [status(esa)], [axiom_G3A])).
% 0.38/0.91 thf(zip_derived_cl235, plain,
% 0.38/0.91 ((((point_2_on_line @ at_least_one_line)
% 0.38/0.91 = (point_not_on_line @ at_least_one_line))
% 0.38/0.91 | ~ (line @ at_least_one_line)
% 0.38/0.91 | ~ (line @ at_least_one_line))),
% 0.38/0.91 inference('s_sup-', [status(thm)], [zip_derived_cl226, zip_derived_cl9])).
% 0.38/0.91 thf(zip_derived_cl11, plain, ( (line @ at_least_one_line)),
% 0.38/0.91 inference('cnf', [status(esa)], [axiom_G4A])).
% 0.38/0.91 thf(zip_derived_cl11, plain, ( (line @ at_least_one_line)),
% 0.38/0.91 inference('cnf', [status(esa)], [axiom_G4A])).
% 0.38/0.91 thf(zip_derived_cl238, plain,
% 0.38/0.91 (((point_2_on_line @ at_least_one_line)
% 0.38/0.91 = (point_not_on_line @ at_least_one_line))),
% 0.38/0.91 inference('demod', [status(thm)],
% 0.38/0.91 [zip_derived_cl235, zip_derived_cl11, zip_derived_cl11])).
% 0.38/0.91 thf(zip_derived_cl9, plain,
% 0.38/0.91 (![X0 : $i]: (~ (on @ (point_not_on_line @ X0) @ X0) | ~ (line @ X0))),
% 0.38/0.91 inference('cnf', [status(esa)], [axiom_G3A])).
% 0.38/0.91 thf(zip_derived_cl239, plain,
% 0.38/0.91 ((~ (on @ (point_2_on_line @ at_least_one_line) @ at_least_one_line)
% 0.38/0.91 | ~ (line @ at_least_one_line))),
% 0.38/0.91 inference('s_sup-', [status(thm)], [zip_derived_cl238, zip_derived_cl9])).
% 0.38/0.91 thf(zip_derived_cl11, plain, ( (line @ at_least_one_line)),
% 0.38/0.91 inference('cnf', [status(esa)], [axiom_G4A])).
% 0.38/0.91 thf(zip_derived_cl242, plain,
% 0.38/0.91 (~ (on @ (point_2_on_line @ at_least_one_line) @ at_least_one_line)),
% 0.38/0.91 inference('demod', [status(thm)], [zip_derived_cl239, zip_derived_cl11])).
% 0.38/0.91 thf(zip_derived_cl246, plain, (~ (line @ at_least_one_line)),
% 0.38/0.91 inference('s_sup-', [status(thm)], [zip_derived_cl5, zip_derived_cl242])).
% 0.38/0.91 thf(zip_derived_cl11, plain, ( (line @ at_least_one_line)),
% 0.38/0.91 inference('cnf', [status(esa)], [axiom_G4A])).
% 0.38/0.91 thf(zip_derived_cl247, plain, ($false),
% 0.38/0.91 inference('demod', [status(thm)], [zip_derived_cl246, zip_derived_cl11])).
% 0.38/0.91
% 0.38/0.91 % SZS output end Refutation
% 0.38/0.91
% 0.38/0.91
% 0.38/0.91 % Terminating...
% 1.26/1.07 % Runner terminated.
% 1.26/1.08 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------