%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GEO077-4 : TPTP v9.2.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.uSmIhEEb6I true
% Computer : n001.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 0.55s 0.76s
% Output : Refutation 0.55s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.12 % Problem : GEO077-4 : TPTP v9.2.0. Released v1.0.0.
% 0.09/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.uSmIhEEb6I true
% 0.13/0.34 % Computer : n001.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
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Wed Oct 1 17:43:38 EDT 2025
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % Running portfolio for 300 s
% 0.13/0.34 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.34 % Number of cores: 8
% 0.13/0.34 % Python version: Python 3.6.8
% 0.13/0.34 % Running in FO mode
% 0.54/0.64 % Total configuration time : 435
% 0.54/0.64 % Estimated wc time : 1092
% 0.54/0.64 % Estimated cpu time (7 cpus) : 156.0
% 0.54/0.67 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.55/0.70 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.55/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.55/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.55/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.55/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.55/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.55/0.76 % Solved by fo/fo3_bce.sh.
% 0.55/0.76 % BCE start: 42
% 0.55/0.76 % BCE eliminated: 0
% 0.55/0.76 % PE start: 42
% 0.55/0.76 logic: eq
% 0.55/0.76 % PE eliminated: -17
% 0.55/0.76 % done 35 iterations in 0.042s
% 0.55/0.76 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.55/0.76 % SZS output start Refutation
% 0.55/0.76 thf(line_through_3_points_type, type, line_through_3_points: $i > $i > $i > $i).
% 0.55/0.76 thf(a_line_type, type, a_line: $i).
% 0.55/0.76 thf(point1_type, type, point1: $i).
% 0.55/0.76 thf(point2_type, type, point2: $i).
% 0.55/0.76 thf(line_type, type, line: $i > $o).
% 0.55/0.76 thf(point3_type, type, point3: $i).
% 0.55/0.76 thf(collinear_type, type, collinear: $i > $i > $i > $o).
% 0.55/0.76 thf(on_type, type, on: $i > $i > $o).
% 0.55/0.76 thf(point_type, type, point: $i > $o).
% 0.55/0.76 thf(prove_points_noncollinear, conjecture,
% 0.55/0.76 (~( collinear @ point1 @ point2 @ point3 ))).
% 0.55/0.76 thf(zf_stmt_0, negated_conjecture, (collinear @ point1 @ point2 @ point3),
% 0.55/0.76 inference('cnf.neg', [status(esa)], [prove_points_noncollinear])).
% 0.55/0.76 thf(zip_derived_cl41, plain, ( (collinear @ point1 @ point2 @ point3)),
% 0.55/0.76 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.55/0.76 thf(axiom_G10C, axiom,
% 0.55/0.76 (( ~( point @ X1 ) ) | ( ~( point @ X2 ) ) | ( ~( point @ X3 ) ) |
% 0.55/0.76 ( ( X1 ) = ( X2 ) ) | ( ( X1 ) = ( X3 ) ) | ( ( X2 ) = ( X3 ) ) |
% 0.55/0.76 ( on @ X3 @ ( line_through_3_points @ X1 @ X2 @ X3 ) ) |
% 0.55/0.76 ( ~( collinear @ X1 @ X2 @ X3 ) ))).
% 0.55/0.76 thf(zip_derived_cl28, plain,
% 0.55/0.76 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.55/0.76 (~ (point @ X0)
% 0.55/0.76 | ~ (point @ X1)
% 0.55/0.76 | ~ (point @ X2)
% 0.55/0.76 | ((X0) = (X1))
% 0.55/0.76 | ((X0) = (X2))
% 0.55/0.76 | ((X1) = (X2))
% 0.55/0.76 | (on @ X2 @ (line_through_3_points @ X0 @ X1 @ X2))
% 0.55/0.76 | ~ (collinear @ X0 @ X1 @ X2))),
% 0.55/0.76 inference('cnf', [status(esa)], [axiom_G10C])).
% 0.55/0.76 thf(zip_derived_cl346, plain,
% 0.55/0.76 (( (on @ point3 @ (line_through_3_points @ point1 @ point2 @ point3))
% 0.55/0.76 | ((point2) = (point3))
% 0.55/0.76 | ((point1) = (point3))
% 0.55/0.76 | ((point1) = (point2))
% 0.55/0.76 | ~ (point @ point3)
% 0.55/0.76 | ~ (point @ point2)
% 0.55/0.76 | ~ (point @ point1))),
% 0.55/0.76 inference('dp-resolution', [status(thm)],
% 0.55/0.76 [zip_derived_cl41, zip_derived_cl28])).
% 0.55/0.76 thf(point3, axiom, (point @ point3)).
% 0.55/0.76 thf(zip_derived_cl33, plain, ( (point @ point3)),
% 0.55/0.76 inference('cnf', [status(esa)], [point3])).
% 0.55/0.76 thf(point2, axiom, (point @ point2)).
% 0.55/0.76 thf(zip_derived_cl32, plain, ( (point @ point2)),
% 0.55/0.76 inference('cnf', [status(esa)], [point2])).
% 0.55/0.76 thf(point1, axiom, (point @ point1)).
% 0.55/0.76 thf(zip_derived_cl31, plain, ( (point @ point1)),
% 0.55/0.76 inference('cnf', [status(esa)], [point1])).
% 0.55/0.76 thf(zip_derived_cl354, plain,
% 0.55/0.76 (( (on @ point3 @ (line_through_3_points @ point1 @ point2 @ point3))
% 0.55/0.76 | ((point2) = (point3))
% 0.55/0.76 | ((point1) = (point3))
% 0.55/0.76 | ((point1) = (point2)))),
% 0.55/0.76 inference('demod', [status(thm)],
% 0.55/0.76 [zip_derived_cl346, zip_derived_cl33, zip_derived_cl32,
% 0.55/0.76 zip_derived_cl31])).
% 0.55/0.76 thf(point1_not_point2, axiom, (( point1 ) != ( point2 ))).
% 0.55/0.76 thf(zip_derived_cl38, plain, (((point1) != (point2))),
% 0.55/0.76 inference('cnf', [status(esa)], [point1_not_point2])).
% 0.55/0.76 thf(point1_not_point3, axiom, (( point1 ) != ( point3 ))).
% 0.55/0.76 thf(zip_derived_cl39, plain, (((point1) != (point3))),
% 0.55/0.76 inference('cnf', [status(esa)], [point1_not_point3])).
% 0.55/0.76 thf(point2_not_point3, axiom, (( point2 ) != ( point3 ))).
% 0.55/0.76 thf(zip_derived_cl40, plain, (((point2) != (point3))),
% 0.55/0.76 inference('cnf', [status(esa)], [point2_not_point3])).
% 0.55/0.76 thf(zip_derived_cl355, plain,
% 0.55/0.76 ( (on @ point3 @ (line_through_3_points @ point1 @ point2 @ point3))),
% 0.55/0.76 inference('simplify_reflect-', [status(thm)],
% 0.55/0.76 [zip_derived_cl354, zip_derived_cl38, zip_derived_cl39,
% 0.55/0.76 zip_derived_cl40])).
% 0.55/0.76 thf(point2_on_line, axiom, (on @ point2 @ a_line)).
% 0.55/0.76 thf(zip_derived_cl36, plain, ( (on @ point2 @ a_line)),
% 0.55/0.76 inference('cnf', [status(esa)], [point2_on_line])).
% 0.55/0.76 thf(zip_derived_cl41, plain, ( (collinear @ point1 @ point2 @ point3)),
% 0.55/0.76 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.55/0.76 thf(axiom_G10B, axiom,
% 0.55/0.76 (( ~( point @ X1 ) ) | ( ~( point @ X2 ) ) | ( ~( point @ X3 ) ) |
% 0.55/0.76 ( ( X1 ) = ( X2 ) ) | ( ( X1 ) = ( X3 ) ) | ( ( X2 ) = ( X3 ) ) |
% 0.55/0.76 ( on @ X2 @ ( line_through_3_points @ X1 @ X2 @ X3 ) ) |
% 0.55/0.76 ( ~( collinear @ X1 @ X2 @ X3 ) ))).
% 0.55/0.76 thf(zip_derived_cl27, plain,
% 0.55/0.76 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.55/0.76 (~ (point @ X0)
% 0.55/0.76 | ~ (point @ X1)
% 0.55/0.76 | ~ (point @ X2)
% 0.55/0.76 | ((X0) = (X1))
% 0.55/0.76 | ((X0) = (X2))
% 0.55/0.76 | ((X1) = (X2))
% 0.55/0.76 | (on @ X1 @ (line_through_3_points @ X0 @ X1 @ X2))
% 0.55/0.76 | ~ (collinear @ X0 @ X1 @ X2))),
% 0.55/0.76 inference('cnf', [status(esa)], [axiom_G10B])).
% 0.55/0.76 thf(zip_derived_cl345, plain,
% 0.55/0.76 (( (on @ point2 @ (line_through_3_points @ point1 @ point2 @ point3))
% 0.55/0.76 | ((point2) = (point3))
% 0.55/0.76 | ((point1) = (point3))
% 0.55/0.76 | ((point1) = (point2))
% 0.55/0.76 | ~ (point @ point3)
% 0.55/0.76 | ~ (point @ point2)
% 0.55/0.76 | ~ (point @ point1))),
% 0.55/0.76 inference('dp-resolution', [status(thm)],
% 0.55/0.76 [zip_derived_cl41, zip_derived_cl27])).
% 0.55/0.76 thf(zip_derived_cl33, plain, ( (point @ point3)),
% 0.55/0.76 inference('cnf', [status(esa)], [point3])).
% 0.55/0.76 thf(zip_derived_cl32, plain, ( (point @ point2)),
% 0.55/0.76 inference('cnf', [status(esa)], [point2])).
% 0.55/0.76 thf(zip_derived_cl31, plain, ( (point @ point1)),
% 0.55/0.76 inference('cnf', [status(esa)], [point1])).
% 0.55/0.76 thf(zip_derived_cl352, plain,
% 0.55/0.76 (( (on @ point2 @ (line_through_3_points @ point1 @ point2 @ point3))
% 0.55/0.76 | ((point2) = (point3))
% 0.55/0.76 | ((point1) = (point3))
% 0.55/0.76 | ((point1) = (point2)))),
% 0.55/0.76 inference('demod', [status(thm)],
% 0.55/0.76 [zip_derived_cl345, zip_derived_cl33, zip_derived_cl32,
% 0.55/0.76 zip_derived_cl31])).
% 0.55/0.76 thf(zip_derived_cl38, plain, (((point1) != (point2))),
% 0.55/0.76 inference('cnf', [status(esa)], [point1_not_point2])).
% 0.55/0.76 thf(zip_derived_cl39, plain, (((point1) != (point3))),
% 0.55/0.76 inference('cnf', [status(esa)], [point1_not_point3])).
% 0.55/0.76 thf(zip_derived_cl40, plain, (((point2) != (point3))),
% 0.55/0.76 inference('cnf', [status(esa)], [point2_not_point3])).
% 0.55/0.76 thf(zip_derived_cl353, plain,
% 0.55/0.76 ( (on @ point2 @ (line_through_3_points @ point1 @ point2 @ point3))),
% 0.55/0.76 inference('simplify_reflect-', [status(thm)],
% 0.55/0.76 [zip_derived_cl352, zip_derived_cl38, zip_derived_cl39,
% 0.55/0.76 zip_derived_cl40])).
% 0.55/0.76 thf(zip_derived_cl41, plain, ( (collinear @ point1 @ point2 @ point3)),
% 0.55/0.76 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.55/0.76 thf(axiom_G10A, axiom,
% 0.55/0.76 (( ~( point @ X1 ) ) | ( ~( point @ X2 ) ) | ( ~( point @ X3 ) ) |
% 0.55/0.76 ( ( X1 ) = ( X2 ) ) | ( ( X1 ) = ( X3 ) ) | ( ( X2 ) = ( X3 ) ) |
% 0.55/0.76 ( on @ X1 @ ( line_through_3_points @ X1 @ X2 @ X3 ) ) |
% 0.55/0.76 ( ~( collinear @ X1 @ X2 @ X3 ) ))).
% 0.55/0.76 thf(zip_derived_cl26, plain,
% 0.55/0.76 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.55/0.76 (~ (point @ X0)
% 0.55/0.76 | ~ (point @ X1)
% 0.55/0.76 | ~ (point @ X2)
% 0.55/0.76 | ((X0) = (X1))
% 0.55/0.76 | ((X0) = (X2))
% 0.55/0.76 | ((X1) = (X2))
% 0.55/0.76 | (on @ X0 @ (line_through_3_points @ X0 @ X1 @ X2))
% 0.55/0.76 | ~ (collinear @ X0 @ X1 @ X2))),
% 0.55/0.76 inference('cnf', [status(esa)], [axiom_G10A])).
% 0.55/0.76 thf(zip_derived_cl344, plain,
% 0.55/0.76 (( (on @ point1 @ (line_through_3_points @ point1 @ point2 @ point3))
% 0.55/0.76 | ((point2) = (point3))
% 0.55/0.76 | ((point1) = (point3))
% 0.55/0.76 | ((point1) = (point2))
% 0.55/0.76 | ~ (point @ point3)
% 0.55/0.76 | ~ (point @ point2)
% 0.55/0.76 | ~ (point @ point1))),
% 0.55/0.76 inference('dp-resolution', [status(thm)],
% 0.55/0.76 [zip_derived_cl41, zip_derived_cl26])).
% 0.55/0.76 thf(zip_derived_cl33, plain, ( (point @ point3)),
% 0.55/0.76 inference('cnf', [status(esa)], [point3])).
% 0.55/0.76 thf(zip_derived_cl32, plain, ( (point @ point2)),
% 0.55/0.76 inference('cnf', [status(esa)], [point2])).
% 0.55/0.76 thf(zip_derived_cl31, plain, ( (point @ point1)),
% 0.55/0.76 inference('cnf', [status(esa)], [point1])).
% 0.55/0.76 thf(zip_derived_cl350, plain,
% 0.55/0.76 (( (on @ point1 @ (line_through_3_points @ point1 @ point2 @ point3))
% 0.55/0.76 | ((point2) = (point3))
% 0.55/0.76 | ((point1) = (point3))
% 0.55/0.76 | ((point1) = (point2)))),
% 0.55/0.76 inference('demod', [status(thm)],
% 0.55/0.76 [zip_derived_cl344, zip_derived_cl33, zip_derived_cl32,
% 0.55/0.76 zip_derived_cl31])).
% 0.55/0.76 thf(zip_derived_cl38, plain, (((point1) != (point2))),
% 0.55/0.76 inference('cnf', [status(esa)], [point1_not_point2])).
% 0.55/0.76 thf(zip_derived_cl39, plain, (((point1) != (point3))),
% 0.55/0.76 inference('cnf', [status(esa)], [point1_not_point3])).
% 0.55/0.76 thf(zip_derived_cl40, plain, (((point2) != (point3))),
% 0.55/0.76 inference('cnf', [status(esa)], [point2_not_point3])).
% 0.55/0.76 thf(zip_derived_cl351, plain,
% 0.55/0.76 ( (on @ point1 @ (line_through_3_points @ point1 @ point2 @ point3))),
% 0.55/0.76 inference('simplify_reflect-', [status(thm)],
% 0.55/0.76 [zip_derived_cl350, zip_derived_cl38, zip_derived_cl39,
% 0.55/0.76 zip_derived_cl40])).
% 0.55/0.76 thf(axiom_G1D, axiom,
% 0.55/0.76 (( ~( on @ Z1 @ Y3 ) ) | ( ( Z1 ) = ( Z2 ) ) | ( ~( on @ Z2 @ Y3 ) ) |
% 0.55/0.76 ( ( Y3 ) = ( Y4 ) ) | ( ~( on @ Z1 @ Y4 ) ) | ( ~( on @ Z2 @ Y4 ) ) |
% 0.55/0.76 ( ~( point @ Z1 ) ) | ( ~( point @ Z2 ) ) | ( ~( line @ Y3 ) ) |
% 0.55/0.76 ( ~( line @ Y4 ) ))).
% 0.55/0.76 thf(zip_derived_cl3, plain,
% 0.55/0.76 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.55/0.76 (~ (on @ X0 @ X1)
% 0.55/0.76 | ((X0) = (X2))
% 0.55/0.76 | ~ (on @ X2 @ X1)
% 0.55/0.76 | ((X1) = (X3))
% 0.55/0.76 | ~ (on @ X0 @ X3)
% 0.55/0.76 | ~ (on @ X2 @ X3)
% 0.55/0.76 | ~ (point @ X0)
% 0.55/0.76 | ~ (point @ X2)
% 0.55/0.76 | ~ (line @ X1)
% 0.55/0.76 | ~ (line @ X3))),
% 0.55/0.76 inference('cnf', [status(esa)], [axiom_G1D])).
% 0.55/0.76 thf(zip_derived_cl361, plain,
% 0.55/0.76 (![X0 : $i, X1 : $i]:
% 0.55/0.76 (~ (line @ X0)
% 0.55/0.76 | ~ (line @ (line_through_3_points @ point1 @ point2 @ point3))
% 0.55/0.76 | ~ (point @ X1)
% 0.55/0.76 | ~ (point @ point1)
% 0.55/0.76 | ~ (on @ X1 @ X0)
% 0.55/0.76 | ~ (on @ point1 @ X0)
% 0.55/0.76 | ((line_through_3_points @ point1 @ point2 @ point3) = (X0))
% 0.55/0.76 | ~ (on @ X1 @ (line_through_3_points @ point1 @ point2 @ point3))
% 0.55/0.76 | ((point1) = (X1)))),
% 0.55/0.76 inference('sup-', [status(thm)], [zip_derived_cl351, zip_derived_cl3])).
% 0.55/0.76 thf(zip_derived_cl41, plain, ( (collinear @ point1 @ point2 @ point3)),
% 0.55/0.76 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.55/0.76 thf(axiom_G10D, axiom,
% 0.55/0.76 (( ~( point @ X1 ) ) | ( ~( point @ X2 ) ) | ( ~( point @ X3 ) ) |
% 0.55/0.76 ( ( X1 ) = ( X2 ) ) | ( ( X1 ) = ( X3 ) ) | ( ( X2 ) = ( X3 ) ) |
% 0.55/0.76 ( line @ ( line_through_3_points @ X1 @ X2 @ X3 ) ) |
% 0.55/0.76 ( ~( collinear @ X1 @ X2 @ X3 ) ))).
% 0.55/0.76 thf(zip_derived_cl29, plain,
% 0.55/0.76 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.55/0.76 (~ (point @ X0)
% 0.55/0.76 | ~ (point @ X1)
% 0.55/0.76 | ~ (point @ X2)
% 0.55/0.76 | ((X0) = (X1))
% 0.55/0.76 | ((X0) = (X2))
% 0.55/0.76 | ((X1) = (X2))
% 0.55/0.76 | (line @ (line_through_3_points @ X0 @ X1 @ X2))
% 0.55/0.76 | ~ (collinear @ X0 @ X1 @ X2))),
% 0.55/0.76 inference('cnf', [status(esa)], [axiom_G10D])).
% 0.55/0.76 thf(zip_derived_cl347, plain,
% 0.55/0.76 (( (line @ (line_through_3_points @ point1 @ point2 @ point3))
% 0.55/0.76 | ((point2) = (point3))
% 0.55/0.76 | ((point1) = (point3))
% 0.55/0.76 | ((point1) = (point2))
% 0.55/0.76 | ~ (point @ point3)
% 0.55/0.76 | ~ (point @ point2)
% 0.55/0.76 | ~ (point @ point1))),
% 0.55/0.76 inference('dp-resolution', [status(thm)],
% 0.55/0.76 [zip_derived_cl41, zip_derived_cl29])).
% 0.55/0.76 thf(zip_derived_cl33, plain, ( (point @ point3)),
% 0.55/0.76 inference('cnf', [status(esa)], [point3])).
% 0.55/0.76 thf(zip_derived_cl32, plain, ( (point @ point2)),
% 0.55/0.76 inference('cnf', [status(esa)], [point2])).
% 0.55/0.76 thf(zip_derived_cl31, plain, ( (point @ point1)),
% 0.55/0.76 inference('cnf', [status(esa)], [point1])).
% 0.55/0.76 thf(zip_derived_cl348, plain,
% 0.55/0.76 (( (line @ (line_through_3_points @ point1 @ point2 @ point3))
% 0.55/0.76 | ((point2) = (point3))
% 0.55/0.76 | ((point1) = (point3))
% 0.55/0.76 | ((point1) = (point2)))),
% 0.55/0.76 inference('demod', [status(thm)],
% 0.55/0.76 [zip_derived_cl347, zip_derived_cl33, zip_derived_cl32,
% 0.55/0.76 zip_derived_cl31])).
% 0.55/0.76 thf(zip_derived_cl38, plain, (((point1) != (point2))),
% 0.55/0.76 inference('cnf', [status(esa)], [point1_not_point2])).
% 0.55/0.76 thf(zip_derived_cl39, plain, (((point1) != (point3))),
% 0.55/0.76 inference('cnf', [status(esa)], [point1_not_point3])).
% 0.55/0.76 thf(zip_derived_cl40, plain, (((point2) != (point3))),
% 0.55/0.76 inference('cnf', [status(esa)], [point2_not_point3])).
% 0.55/0.76 thf(zip_derived_cl349, plain,
% 0.55/0.76 ( (line @ (line_through_3_points @ point1 @ point2 @ point3))),
% 0.55/0.76 inference('simplify_reflect-', [status(thm)],
% 0.55/0.76 [zip_derived_cl348, zip_derived_cl38, zip_derived_cl39,
% 0.55/0.76 zip_derived_cl40])).
% 0.55/0.76 thf(zip_derived_cl31, plain, ( (point @ point1)),
% 0.55/0.76 inference('cnf', [status(esa)], [point1])).
% 0.55/0.76 thf(zip_derived_cl376, plain,
% 0.55/0.76 (![X0 : $i, X1 : $i]:
% 0.55/0.76 (~ (line @ X0)
% 0.55/0.76 | ~ (point @ X1)
% 0.55/0.76 | ~ (on @ X1 @ X0)
% 0.55/0.76 | ~ (on @ point1 @ X0)
% 0.55/0.76 | ((line_through_3_points @ point1 @ point2 @ point3) = (X0))
% 0.55/0.76 | ~ (on @ X1 @ (line_through_3_points @ point1 @ point2 @ point3))
% 0.55/0.76 | ((point1) = (X1)))),
% 0.55/0.76 inference('demod', [status(thm)],
% 0.55/0.76 [zip_derived_cl361, zip_derived_cl349, zip_derived_cl31])).
% 0.55/0.76 thf(zip_derived_cl412, plain,
% 0.55/0.76 (![X0 : $i]:
% 0.55/0.76 (((point1) = (point2))
% 0.55/0.76 | ((line_through_3_points @ point1 @ point2 @ point3) = (X0))
% 0.55/0.76 | ~ (on @ point1 @ X0)
% 0.55/0.76 | ~ (on @ point2 @ X0)
% 0.55/0.76 | ~ (point @ point2)
% 0.55/0.76 | ~ (line @ X0))),
% 0.55/0.76 inference('sup-', [status(thm)], [zip_derived_cl353, zip_derived_cl376])).
% 0.55/0.76 thf(zip_derived_cl32, plain, ( (point @ point2)),
% 0.55/0.76 inference('cnf', [status(esa)], [point2])).
% 0.55/0.76 thf(zip_derived_cl421, plain,
% 0.55/0.76 (![X0 : $i]:
% 0.55/0.76 (((point1) = (point2))
% 0.55/0.76 | ((line_through_3_points @ point1 @ point2 @ point3) = (X0))
% 0.55/0.76 | ~ (on @ point1 @ X0)
% 0.55/0.76 | ~ (on @ point2 @ X0)
% 0.55/0.76 | ~ (line @ X0))),
% 0.55/0.76 inference('demod', [status(thm)], [zip_derived_cl412, zip_derived_cl32])).
% 0.55/0.76 thf(zip_derived_cl38, plain, (((point1) != (point2))),
% 0.55/0.76 inference('cnf', [status(esa)], [point1_not_point2])).
% 0.55/0.76 thf(zip_derived_cl422, plain,
% 0.55/0.76 (![X0 : $i]:
% 0.55/0.76 (((line_through_3_points @ point1 @ point2 @ point3) = (X0))
% 0.55/0.76 | ~ (on @ point1 @ X0)
% 0.55/0.76 | ~ (on @ point2 @ X0)
% 0.55/0.76 | ~ (line @ X0))),
% 0.55/0.76 inference('simplify_reflect-', [status(thm)],
% 0.55/0.76 [zip_derived_cl421, zip_derived_cl38])).
% 0.55/0.76 thf(zip_derived_cl428, plain,
% 0.55/0.76 ((~ (line @ a_line)
% 0.55/0.76 | ~ (on @ point1 @ a_line)
% 0.55/0.76 | ((line_through_3_points @ point1 @ point2 @ point3) = (a_line)))),
% 0.55/0.76 inference('sup-', [status(thm)], [zip_derived_cl36, zip_derived_cl422])).
% 0.55/0.76 thf(line, axiom, (line @ a_line)).
% 0.55/0.76 thf(zip_derived_cl34, plain, ( (line @ a_line)),
% 0.55/0.76 inference('cnf', [status(esa)], [line])).
% 0.55/0.76 thf(point1_on_line, axiom, (on @ point1 @ a_line)).
% 0.55/0.76 thf(zip_derived_cl35, plain, ( (on @ point1 @ a_line)),
% 0.55/0.76 inference('cnf', [status(esa)], [point1_on_line])).
% 0.55/0.76 thf(zip_derived_cl432, plain,
% 0.55/0.76 (((line_through_3_points @ point1 @ point2 @ point3) = (a_line))),
% 0.55/0.76 inference('demod', [status(thm)],
% 0.55/0.76 [zip_derived_cl428, zip_derived_cl34, zip_derived_cl35])).
% 0.55/0.76 thf(point3_not_on_line, axiom, (~( on @ point3 @ a_line ))).
% 0.55/0.76 thf(zip_derived_cl37, plain, (~ (on @ point3 @ a_line)),
% 0.55/0.76 inference('cnf', [status(esa)], [point3_not_on_line])).
% 0.55/0.76 thf(zip_derived_cl436, plain, ($false),
% 0.55/0.76 inference('demod', [status(thm)],
% 0.55/0.76 [zip_derived_cl355, zip_derived_cl432, zip_derived_cl37])).
% 0.55/0.76
% 0.55/0.76 % SZS output end Refutation
% 0.55/0.76
% 0.55/0.76
% 0.55/0.76 % Terminating...
% 0.56/0.84 % Runner terminated.
% 0.56/0.85 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------