TSTP Solution File: GEO076-4 by Prover9---1109a
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- Process Solution
%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : GEO076-4 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_prover9 %d %s
% Computer : n018.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 : 600s
% DateTime : Sat Jul 16 05:53:47 EDT 2022
% Result : Unsatisfiable 118.20s 118.58s
% Output : Refutation 118.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO076-4 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.13 % Command : tptp2X_and_run_prover9 %d %s
% 0.13/0.35 % Computer : n018.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Sat Jun 18 09:14:03 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.76/1.05 ============================== Prover9 ===============================
% 0.76/1.05 Prover9 (32) version 2009-11A, November 2009.
% 0.76/1.05 Process 13546 was started by sandbox on n018.cluster.edu,
% 0.76/1.05 Sat Jun 18 09:14:03 2022
% 0.76/1.05 The command was "/export/starexec/sandbox/solver/bin/prover9 -t 300 -f /tmp/Prover9_13393_n018.cluster.edu".
% 0.76/1.05 ============================== end of head ===========================
% 0.76/1.05
% 0.76/1.05 ============================== INPUT =================================
% 0.76/1.05
% 0.76/1.05 % Reading from file /tmp/Prover9_13393_n018.cluster.edu
% 0.76/1.05
% 0.76/1.05 set(prolog_style_variables).
% 0.76/1.05 set(auto2).
% 0.76/1.05 % set(auto2) -> set(auto).
% 0.76/1.05 % set(auto) -> set(auto_inference).
% 0.76/1.05 % set(auto) -> set(auto_setup).
% 0.76/1.05 % set(auto_setup) -> set(predicate_elim).
% 0.76/1.05 % set(auto_setup) -> assign(eq_defs, unfold).
% 0.76/1.05 % set(auto) -> set(auto_limits).
% 0.76/1.05 % set(auto_limits) -> assign(max_weight, "100.000").
% 0.76/1.05 % set(auto_limits) -> assign(sos_limit, 20000).
% 0.76/1.05 % set(auto) -> set(auto_denials).
% 0.76/1.05 % set(auto) -> set(auto_process).
% 0.76/1.05 % set(auto2) -> assign(new_constants, 1).
% 0.76/1.05 % set(auto2) -> assign(fold_denial_max, 3).
% 0.76/1.05 % set(auto2) -> assign(max_weight, "200.000").
% 0.76/1.05 % set(auto2) -> assign(max_hours, 1).
% 0.76/1.05 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 0.76/1.05 % set(auto2) -> assign(max_seconds, 0).
% 0.76/1.05 % set(auto2) -> assign(max_minutes, 5).
% 0.76/1.05 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 0.76/1.05 % set(auto2) -> set(sort_initial_sos).
% 0.76/1.05 % set(auto2) -> assign(sos_limit, -1).
% 0.76/1.05 % set(auto2) -> assign(lrs_ticks, 3000).
% 0.76/1.05 % set(auto2) -> assign(max_megs, 400).
% 0.76/1.05 % set(auto2) -> assign(stats, some).
% 0.76/1.05 % set(auto2) -> clear(echo_input).
% 0.76/1.05 % set(auto2) -> set(quiet).
% 0.76/1.05 % set(auto2) -> clear(print_initial_clauses).
% 0.76/1.05 % set(auto2) -> clear(print_given).
% 0.76/1.05 assign(lrs_ticks,-1).
% 0.76/1.05 assign(sos_limit,10000).
% 0.76/1.05 assign(order,kbo).
% 0.76/1.05 set(lex_order_vars).
% 0.76/1.05 clear(print_given).
% 0.76/1.05
% 0.76/1.05 % formulas(sos). % not echoed (33 formulas)
% 0.76/1.05
% 0.76/1.05 ============================== end of input ==========================
% 0.76/1.05
% 0.76/1.05 % From the command line: assign(max_seconds, 300).
% 0.76/1.05
% 0.76/1.05 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.76/1.05
% 0.76/1.05 % Formulas that are not ordinary clauses:
% 0.76/1.05
% 0.76/1.05 ============================== end of process non-clausal formulas ===
% 0.76/1.05
% 0.76/1.05 ============================== PROCESS INITIAL CLAUSES ===============
% 0.76/1.05
% 0.76/1.05 ============================== PREDICATE ELIMINATION =================
% 0.76/1.05 1 -point(A) | -point(B) | -point(C) | A = B | A = C | B = C | line(line_through_3_points(A,B,C)) | -collinear(A,B,C) # label(axiom_G10D) # label(axiom). [assumption].
% 0.76/1.05 2 plane(plane_for_points(A,B,C)) | -point(A) | -point(B) | -point(C) | collinear(A,B,C) | A = B | A = C | B = C # label(axiom_G7D) # label(axiom). [assumption].
% 0.76/1.05 Derived: -point(A) | -point(B) | -point(C) | A = B | A = C | B = C | line(line_through_3_points(A,B,C)) | plane(plane_for_points(A,B,C)) | -point(A) | -point(B) | -point(C) | A = B | A = C | B = C. [resolve(1,h,2,e)].
% 0.76/1.05 3 on(A,plane_for_points(A,B,C)) | -point(A) | -point(B) | -point(C) | collinear(A,B,C) | A = B | A = C | B = C # label(axiom_G7A) # label(axiom). [assumption].
% 0.76/1.05 Derived: on(A,plane_for_points(A,B,C)) | -point(A) | -point(B) | -point(C) | A = B | A = C | B = C | -point(A) | -point(B) | -point(C) | A = B | A = C | B = C | line(line_through_3_points(A,B,C)). [resolve(3,e,1,h)].
% 0.76/1.05 4 on(A,plane_for_points(B,A,C)) | -point(B) | -point(A) | -point(C) | collinear(B,A,C) | B = A | B = C | A = C # label(axiom_G7B) # label(axiom). [assumption].
% 0.76/1.05 Derived: on(A,plane_for_points(B,A,C)) | -point(B) | -point(A) | -point(C) | B = A | B = C | A = C | -point(B) | -point(A) | -point(C) | B = A | B = C | A = C | line(line_through_3_points(B,A,C)). [resolve(4,e,1,h)].
% 0.76/1.05 5 on(A,plane_for_points(B,C,A)) | -point(B) | -point(C) | -point(A) | collinear(B,C,A) | B = C | B = A | C = A # label(axiom_G7C) # label(axiom). [assumption].
% 0.76/1.05 Derived: on(A,plane_for_points(B,C,A)) | -point(B) | -point(C) | -point(A) | B = C | B = A | C = A | -point(B) | -point(C) | -point(A) | B = C | B = A | C = A | line(line_through_3_points(B,C,A)). [resolve(5,e,1,h)].
% 0.76/1.05 6 -point(A) | -point(B) | -point(C) | A = B | A = C | B = C | on(A,line_through_3_points(A,B,C)) | -collinear(A,B,C) # label(axiom_G10A) # label(axiom). [assumption].
% 0.79/1.11 Derived: -point(A) | -point(B) | -point(C) | A = B | A = C | B = C | on(A,line_through_3_points(A,B,C)) | plane(plane_for_points(A,B,C)) | -point(A) | -point(B) | -point(C) | A = B | A = C | B = C. [resolve(6,h,2,e)].
% 0.79/1.11 Derived: -point(A) | -point(B) | -point(C) | A = B | A = C | B = C | on(A,line_through_3_points(A,B,C)) | on(A,plane_for_points(A,B,C)) | -point(A) | -point(B) | -point(C) | A = B | A = C | B = C. [resolve(6,h,3,e)].
% 0.79/1.11 Derived: -point(A) | -point(B) | -point(C) | A = B | A = C | B = C | on(A,line_through_3_points(A,B,C)) | on(B,plane_for_points(A,B,C)) | -point(A) | -point(B) | -point(C) | A = B | A = C | B = C. [resolve(6,h,4,e)].
% 0.79/1.11 Derived: -point(A) | -point(B) | -point(C) | A = B | A = C | B = C | on(A,line_through_3_points(A,B,C)) | on(C,plane_for_points(A,B,C)) | -point(A) | -point(B) | -point(C) | A = B | A = C | B = C. [resolve(6,h,5,e)].
% 0.79/1.11 7 -point(A) | -point(B) | -point(C) | A = B | A = C | B = C | on(B,line_through_3_points(A,B,C)) | -collinear(A,B,C) # label(axiom_G10B) # label(axiom). [assumption].
% 0.79/1.11 Derived: -point(A) | -point(B) | -point(C) | A = B | A = C | B = C | on(B,line_through_3_points(A,B,C)) | plane(plane_for_points(A,B,C)) | -point(A) | -point(B) | -point(C) | A = B | A = C | B = C. [resolve(7,h,2,e)].
% 0.79/1.11 Derived: -point(A) | -point(B) | -point(C) | A = B | A = C | B = C | on(B,line_through_3_points(A,B,C)) | on(A,plane_for_points(A,B,C)) | -point(A) | -point(B) | -point(C) | A = B | A = C | B = C. [resolve(7,h,3,e)].
% 0.79/1.11 Derived: -point(A) | -point(B) | -point(C) | A = B | A = C | B = C | on(B,line_through_3_points(A,B,C)) | on(B,plane_for_points(A,B,C)) | -point(A) | -point(B) | -point(C) | A = B | A = C | B = C. [resolve(7,h,4,e)].
% 0.79/1.11 Derived: -point(A) | -point(B) | -point(C) | A = B | A = C | B = C | on(B,line_through_3_points(A,B,C)) | on(C,plane_for_points(A,B,C)) | -point(A) | -point(B) | -point(C) | A = B | A = C | B = C. [resolve(7,h,5,e)].
% 0.79/1.11 8 -point(A) | -point(B) | -point(C) | A = B | A = C | B = C | on(C,line_through_3_points(A,B,C)) | -collinear(A,B,C) # label(axiom_G10C) # label(axiom). [assumption].
% 0.79/1.11 Derived: -point(A) | -point(B) | -point(C) | A = B | A = C | B = C | on(C,line_through_3_points(A,B,C)) | plane(plane_for_points(A,B,C)) | -point(A) | -point(B) | -point(C) | A = B | A = C | B = C. [resolve(8,h,2,e)].
% 0.79/1.11 Derived: -point(A) | -point(B) | -point(C) | A = B | A = C | B = C | on(C,line_through_3_points(A,B,C)) | on(A,plane_for_points(A,B,C)) | -point(A) | -point(B) | -point(C) | A = B | A = C | B = C. [resolve(8,h,3,e)].
% 0.79/1.11 Derived: -point(A) | -point(B) | -point(C) | A = B | A = C | B = C | on(C,line_through_3_points(A,B,C)) | on(B,plane_for_points(A,B,C)) | -point(A) | -point(B) | -point(C) | A = B | A = C | B = C. [resolve(8,h,4,e)].
% 0.79/1.11 Derived: -point(A) | -point(B) | -point(C) | A = B | A = C | B = C | on(C,line_through_3_points(A,B,C)) | on(C,plane_for_points(A,B,C)) | -point(A) | -point(B) | -point(C) | A = B | A = C | B = C. [resolve(8,h,5,e)].
% 0.79/1.11 9 collinear(A,B,C) | -on(A,D) | -on(B,D) | -on(C,D) | -point(A) | -point(B) | -point(C) | A = B | A = C | B = C | -line(D) # label(axiom_G10E) # label(axiom). [assumption].
% 0.79/1.11 Derived: -on(A,B) | -on(C,B) | -on(D,B) | -point(A) | -point(C) | -point(D) | A = C | A = D | C = D | -line(B) | -point(A) | -point(C) | -point(D) | A = C | A = D | C = D | line(line_through_3_points(A,C,D)). [resolve(9,a,1,h)].
% 0.79/1.11 Derived: -on(A,B) | -on(C,B) | -on(D,B) | -point(A) | -point(C) | -point(D) | A = C | A = D | C = D | -line(B) | -point(A) | -point(C) | -point(D) | A = C | A = D | C = D | on(A,line_through_3_points(A,C,D)). [resolve(9,a,6,h)].
% 0.79/1.11 Derived: -on(A,B) | -on(C,B) | -on(D,B) | -point(A) | -point(C) | -point(D) | A = C | A = D | C = D | -line(B) | -point(A) | -point(C) | -point(D) | A = C | A = D | C = D | on(C,line_through_3_points(A,C,D)). [resolve(9,a,7,h)].
% 0.79/1.11 Derived: -on(A,B) | -on(C,B) | -on(D,B) | -point(A) | -point(C) | -point(D) | A = C | A = D | C = D | -line(B) | -point(A) | -point(C) | -point(D) | A = C | A = D | C = D | on(D,line_through_3_points(A,C,D)). [resolve(9,a,8,h)].
% 118.20/118.58 10 -point(A) | -point(B) | -point(C) | collinear(A,B,C) | A = B | A = C | B = C | -on(A,D) | -on(B,D) | -on(C,D) | -plane(D) | -on(A,E) | -on(B,E) | -on(C,E) | -plane(E) | D = E # label(axiom_G7E) # label(axiom). [assumption].
% 118.20/118.58 Derived: -point(A) | -point(B) | -point(C) | A = B | A = C | B = C | -on(A,D) | -on(B,D) | -on(C,D) | -plane(D) | -on(A,E) | -on(B,E) | -on(C,E) | -plane(E) | D = E | -point(A) | -point(B) | -point(C) | A = B | A = C | B = C | line(line_through_3_points(A,B,C)). [resolve(10,d,1,h)].
% 118.20/118.58 Derived: -point(A) | -point(B) | -point(C) | A = B | A = C | B = C | -on(A,D) | -on(B,D) | -on(C,D) | -plane(D) | -on(A,E) | -on(B,E) | -on(C,E) | -plane(E) | D = E | -point(A) | -point(B) | -point(C) | A = B | A = C | B = C | on(A,line_through_3_points(A,B,C)). [resolve(10,d,6,h)].
% 118.20/118.58 Derived: -point(A) | -point(B) | -point(C) | A = B | A = C | B = C | -on(A,D) | -on(B,D) | -on(C,D) | -plane(D) | -on(A,E) | -on(B,E) | -on(C,E) | -plane(E) | D = E | -point(A) | -point(B) | -point(C) | A = B | A = C | B = C | on(B,line_through_3_points(A,B,C)). [resolve(10,d,7,h)].
% 118.20/118.58 Derived: -point(A) | -point(B) | -point(C) | A = B | A = C | B = C | -on(A,D) | -on(B,D) | -on(C,D) | -plane(D) | -on(A,E) | -on(B,E) | -on(C,E) | -plane(E) | D = E | -point(A) | -point(B) | -point(C) | A = B | A = C | B = C | on(C,line_through_3_points(A,B,C)). [resolve(10,d,8,h)].
% 118.20/118.58
% 118.20/118.58 ============================== end predicate elimination =============
% 118.20/118.58
% 118.20/118.58 Auto_denials: (non-Horn, no changes).
% 118.20/118.58
% 118.20/118.58 Term ordering decisions:
% 118.20/118.58 Function symbol KB weights: a_point=1. at_least_one_line=1. line_from_to=1. point_1_on_line=1. point_2_on_line=1. point_on_plane=1. point_not_on_line=1. point_not_on_plane=1. line_through_3_points=1. plane_for_points=1. common_point_on_planes=1.
% 118.20/118.58
% 118.20/118.58 ============================== end of process initial clauses ========
% 118.20/118.58
% 118.20/118.58 ============================== CLAUSES FOR SEARCH ====================
% 118.20/118.58
% 118.20/118.58 ============================== end of clauses for search =============
% 118.20/118.58
% 118.20/118.58 ============================== SEARCH ================================
% 118.20/118.58
% 118.20/118.58 % Starting search at 0.13 seconds.
% 118.20/118.58
% 118.20/118.58 Low Water (keep): wt=78.000, iters=3980
% 118.20/118.58
% 118.20/118.58 Low Water (keep): wt=74.000, iters=3966
% 118.20/118.58
% 118.20/118.58 Low Water (keep): wt=73.000, iters=3939
% 118.20/118.58
% 118.20/118.58 Low Water (keep): wt=57.000, iters=3602
% 118.20/118.58
% 118.20/118.58 Low Water (keep): wt=56.000, iters=3541
% 118.20/118.58
% 118.20/118.58 Low Water (keep): wt=55.000, iters=3348
% 118.20/118.58
% 118.20/118.58 Low Water (keep): wt=54.000, iters=3367
% 118.20/118.58
% 118.20/118.58 Low Water (keep): wt=53.000, iters=3418
% 118.20/118.58
% 118.20/118.58 Low Water (keep): wt=52.000, iters=3387
% 118.20/118.58
% 118.20/118.58 Low Water (keep): wt=51.000, iters=3385
% 118.20/118.58
% 118.20/118.58 Low Water (keep): wt=50.000, iters=3347
% 118.20/118.58
% 118.20/118.58 Low Water (keep): wt=49.000, iters=3333
% 118.20/118.58
% 118.20/118.58 Low Water (keep): wt=48.000, iters=3334
% 118.20/118.58
% 118.20/118.58 Low Water (keep): wt=47.000, iters=3350
% 118.20/118.58
% 118.20/118.58 Low Water (keep): wt=46.000, iters=3506
% 118.20/118.58
% 118.20/118.58 Low Water (keep): wt=45.000, iters=3353
% 118.20/118.58
% 118.20/118.58 Low Water (displace): id=5622, wt=86.000
% 118.20/118.58
% 118.20/118.58 Low Water (displace): id=5620, wt=83.000
% 118.20/118.58
% 118.20/118.58 Low Water (displace): id=5621, wt=82.000
% 118.20/118.58
% 118.20/118.58 Low Water (displace): id=5634, wt=81.000
% 118.20/118.58
% 118.20/118.58 Low Water (displace): id=5329, wt=80.000
% 118.20/118.58
% 118.20/118.58 Low Water (displace): id=5614, wt=79.000
% 118.20/118.58
% 118.20/118.58 Low Water (displace): id=5619, wt=78.000
% 118.20/118.58
% 118.20/118.58 Low Water (displace): id=5757, wt=77.000
% 118.20/118.58
% 118.20/118.58 Low Water (displace): id=5341, wt=76.000
% 118.20/118.58
% 118.20/118.58 Low Water (displace): id=5414, wt=74.000
% 118.20/118.58
% 118.20/118.58 Low Water (displace): id=5326, wt=73.000
% 118.20/118.58
% 118.20/118.58 Low Water (keep): wt=44.000, iters=4031
% 118.20/118.58
% 118.20/118.58 Low Water (keep): wt=43.000, iters=3698
% 118.20/118.58
% 118.20/118.58 Low Water (displace): id=5412, wt=72.000
% 118.20/118.58
% 118.20/118.58 Low Water (displace): id=11124, wt=32.000
% 118.20/118.58
% 118.20/118.58 Low Water (displace): id=11158, wt=28.000
% 118.20/118.58
% 118.20/118.58 Low Water (displace): id=11249, wt=27.000
% 118.20/118.58
% 118.20/118.58 Low Water (displace): id=11506, wt=26.000
% 118.20/118.58
% 118.20/118.58 NOTE: Back_subsumption disabled, ratio of kept to back_subsumed is 84 (0.00 of 2.90 sec).
% 118.20/118.58
% 118.20/118.58 Low Water (keep): wt=33.000, iters=3615
% 118.20/118.58
% 118.20/118.58 Low Water (displace): id=17722, wt=25.000
% 118.20/118.58
% 118.20/118.58 Low Water (displace): id=23303, wt=23.000
% 118.20/118.58
% 118.20/118.58 Low Water (displace): id=23933, wt=22.000
% 118.20/118.58
% 118.20/118.58 Low Water (displace): id=24892, wt=21.000
% 118.20/118.58
% 118.20/118.58 Low Water (displace): id=34818, wt=19.000
% 118.20/118.58
% 118.20/118.58 ============================== PROOF =================================
% 118.20/118.58 % SZS status Unsatisfiable
% 118.20/118.58 % SZS output start Refutation
% 118.20/118.58
% 118.20/118.58 % Proof 1 at 115.30 (+ 2.22) seconds.
% 118.20/118.58 % Length of proof is 50.
% 118.20/118.58 % Level of proof is 13.
% 118.20/118.58 % Maximum clause weight is 29.000.
% 118.20/118.58 % Given clauses 8977.
% 118.20/118.58
% 118.20/118.58 11 line(at_least_one_line) # label(axiom_G4A) # label(axiom). [assumption].
% 118.20/118.58 12 point(a_point) # label(there_is_a_point) # label(hypothesis). [assumption].
% 118.20/118.58 13 -on(point_not_on_line(A),A) | -line(A) # label(axiom_G3A) # label(axiom). [assumption].
% 118.20/118.58 15 point_1_on_line(A) != point_2_on_line(A) | -line(A) # label(axiom_G2E) # label(axiom). [assumption].
% 118.20/118.58 16 point_2_on_line(A) != point_1_on_line(A) | -line(A). [copy(15),flip(a)].
% 118.20/118.58 17 point(point_1_on_line(A)) | -line(A) # label(axiom_G2C) # label(axiom). [assumption].
% 118.20/118.58 18 point(point_2_on_line(A)) | -line(A) # label(axiom_G2D) # label(axiom). [assumption].
% 118.20/118.58 19 point(point_not_on_line(A)) | -line(A) # label(axiom_G3B) # label(axiom). [assumption].
% 118.20/118.58 22 -line(A) | on(a_point,A) # label(prove_point_is_not_on_every_line) # label(negated_conjecture). [assumption].
% 118.20/118.58 23 on(point_1_on_line(A),A) | -line(A) # label(axiom_G2A) # label(axiom). [assumption].
% 118.20/118.58 24 on(point_2_on_line(A),A) | -line(A) # label(axiom_G2B) # label(axiom). [assumption].
% 118.20/118.58 26 line(line_from_to(A,B)) | A = B | -point(A) | -point(B) # label(axiom_G1C) # label(axiom). [assumption].
% 118.20/118.58 27 on(A,line_from_to(A,B)) | A = B | -point(A) | -point(B) # label(axiom_G1A) # label(axiom). [assumption].
% 118.20/118.58 28 on(A,line_from_to(B,A)) | B = A | -point(B) | -point(A) # label(axiom_G1B) # label(axiom). [assumption].
% 118.20/118.58 34 -on(A,B) | A = C | -on(C,B) | B = D | -on(A,D) | -on(C,D) | -point(A) | -point(C) | -line(B) | -line(D) # label(axiom_G1D) # label(axiom). [assumption].
% 118.20/118.58 98 -on(point_not_on_line(at_least_one_line),at_least_one_line). [ur(13,b,11,a)].
% 118.20/118.58 99 point_2_on_line(at_least_one_line) != point_1_on_line(at_least_one_line). [resolve(16,b,11,a)].
% 118.20/118.58 100 point(point_1_on_line(at_least_one_line)). [resolve(17,b,11,a)].
% 118.20/118.58 101 point(point_2_on_line(at_least_one_line)). [resolve(18,b,11,a)].
% 118.20/118.58 102 point(point_not_on_line(at_least_one_line)). [resolve(19,b,11,a)].
% 118.20/118.58 103 on(a_point,at_least_one_line). [resolve(22,a,11,a)].
% 118.20/118.58 104 on(point_1_on_line(at_least_one_line),at_least_one_line). [resolve(23,b,11,a)].
% 118.20/118.58 105 on(point_2_on_line(at_least_one_line),at_least_one_line). [resolve(24,b,11,a)].
% 118.20/118.58 209 on(A,line_from_to(point_1_on_line(at_least_one_line),A)) | point_1_on_line(at_least_one_line) = A | -point(A). [resolve(100,a,28,c)].
% 118.20/118.58 213 line(line_from_to(point_1_on_line(at_least_one_line),A)) | point_1_on_line(at_least_one_line) = A | -point(A). [resolve(100,a,26,c)].
% 118.20/118.58 264 on(A,line_from_to(A,point_2_on_line(at_least_one_line))) | point_2_on_line(at_least_one_line) = A | -point(A). [resolve(101,a,27,d),flip(b)].
% 118.20/118.58 266 line(line_from_to(A,point_2_on_line(at_least_one_line))) | point_2_on_line(at_least_one_line) = A | -point(A). [resolve(101,a,26,d),flip(b)].
% 118.20/118.58 317 on(A,line_from_to(point_not_on_line(at_least_one_line),A)) | point_not_on_line(at_least_one_line) = A | -point(A). [resolve(102,a,28,c)].
% 118.20/118.58 318 on(A,line_from_to(A,point_not_on_line(at_least_one_line))) | point_not_on_line(at_least_one_line) = A | -point(A). [resolve(102,a,27,d),flip(b)].
% 118.20/118.58 398 -on(A,B) | a_point = A | -on(a_point,B) | at_least_one_line = B | -on(A,at_least_one_line) | -point(A) | -line(B). [resolve(103,a,34,f),flip(b),flip(d),unit_del(g,12),unit_del(i,11)].
% 118.20/118.58 483 -on(A,B) | point_1_on_line(at_least_one_line) = A | -on(point_1_on_line(at_least_one_line),B) | at_least_one_line = B | -on(A,at_least_one_line) | -point(A) | -line(B). [resolve(104,a,34,f),flip(b),flip(d),unit_del(g,100),unit_del(i,11)].
% 118.20/118.58 3786 line(line_from_to(point_1_on_line(at_least_one_line),point_not_on_line(at_least_one_line))) | point_not_on_line(at_least_one_line) = point_1_on_line(at_least_one_line). [resolve(213,c,102,a),flip(b)].
% 118.20/118.58 4133 line(line_from_to(point_not_on_line(at_least_one_line),point_2_on_line(at_least_one_line))) | point_not_on_line(at_least_one_line) = point_2_on_line(at_least_one_line). [resolve(266,c,102,a),flip(b)].
% 118.20/118.58 5488 point_not_on_line(at_least_one_line) = point_1_on_line(at_least_one_line) | on(a_point,line_from_to(point_1_on_line(at_least_one_line),point_not_on_line(at_least_one_line))). [resolve(3786,a,22,a)].
% 118.20/118.58 5495 point_not_on_line(at_least_one_line) = point_2_on_line(at_least_one_line) | on(a_point,line_from_to(point_not_on_line(at_least_one_line),point_2_on_line(at_least_one_line))). [resolve(4133,a,22,a)].
% 118.20/118.58 5585 on(point_not_on_line(at_least_one_line),line_from_to(point_1_on_line(at_least_one_line),point_not_on_line(at_least_one_line))) | point_not_on_line(at_least_one_line) = point_1_on_line(at_least_one_line). [resolve(209,c,102,a),flip(b)].
% 118.20/118.58 5882 on(point_not_on_line(at_least_one_line),line_from_to(point_not_on_line(at_least_one_line),point_2_on_line(at_least_one_line))) | point_not_on_line(at_least_one_line) = point_2_on_line(at_least_one_line). [resolve(264,c,102,a),flip(b)].
% 118.20/118.58 5999 on(point_2_on_line(at_least_one_line),line_from_to(point_not_on_line(at_least_one_line),point_2_on_line(at_least_one_line))) | point_not_on_line(at_least_one_line) = point_2_on_line(at_least_one_line). [resolve(317,c,101,a)].
% 118.20/118.58 6026 on(point_1_on_line(at_least_one_line),line_from_to(point_1_on_line(at_least_one_line),point_not_on_line(at_least_one_line))) | point_not_on_line(at_least_one_line) = point_1_on_line(at_least_one_line). [resolve(318,c,100,a)].
% 118.20/118.58 10791 point_1_on_line(at_least_one_line) = a_point | -on(a_point,line_from_to(point_1_on_line(at_least_one_line),point_not_on_line(at_least_one_line))) | line_from_to(point_1_on_line(at_least_one_line),point_not_on_line(at_least_one_line)) = at_least_one_line | -line(line_from_to(point_1_on_line(at_least_one_line),point_not_on_line(at_least_one_line))) | point_not_on_line(at_least_one_line) = point_1_on_line(at_least_one_line). [resolve(398,a,6026,a),flip(a),flip(c),unit_del(d,104),unit_del(e,100)].
% 118.20/118.58 25036 -on(point_1_on_line(at_least_one_line),line_from_to(point_not_on_line(at_least_one_line),point_2_on_line(at_least_one_line))) | line_from_to(point_not_on_line(at_least_one_line),point_2_on_line(at_least_one_line)) = at_least_one_line | -line(line_from_to(point_not_on_line(at_least_one_line),point_2_on_line(at_least_one_line))) | point_not_on_line(at_least_one_line) = point_2_on_line(at_least_one_line). [resolve(483,a,5999,a),flip(a),flip(c),unit_del(a,99),unit_del(d,105),unit_del(e,101)].
% 118.20/118.58 40571 point_1_on_line(at_least_one_line) = a_point | line_from_to(point_1_on_line(at_least_one_line),point_not_on_line(at_least_one_line)) = at_least_one_line | -line(line_from_to(point_1_on_line(at_least_one_line),point_not_on_line(at_least_one_line))) | point_not_on_line(at_least_one_line) = point_1_on_line(at_least_one_line). [resolve(10791,b,5488,b),merge(e)].
% 118.20/118.58 40588 point_1_on_line(at_least_one_line) = a_point | line_from_to(point_1_on_line(at_least_one_line),point_not_on_line(at_least_one_line)) = at_least_one_line | point_not_on_line(at_least_one_line) = point_1_on_line(at_least_one_line). [resolve(40571,c,3786,a),merge(d)].
% 118.20/118.58 40589 point_1_on_line(at_least_one_line) = a_point | point_not_on_line(at_least_one_line) = point_1_on_line(at_least_one_line). [para(40588(b,1),5585(a,2)),merge(d),unit_del(c,98)].
% 118.20/118.58 40590 point_1_on_line(at_least_one_line) = a_point. [para(40589(b,1),13(a,1)),unit_del(b,104),unit_del(c,11)].
% 118.20/118.58 41401 -on(a_point,line_from_to(point_not_on_line(at_least_one_line),point_2_on_line(at_least_one_line))) | line_from_to(point_not_on_line(at_least_one_line),point_2_on_line(at_least_one_line)) = at_least_one_line | -line(line_from_to(point_not_on_line(at_least_one_line),point_2_on_line(at_least_one_line))) | point_not_on_line(at_least_one_line) = point_2_on_line(at_least_one_line). [back_rewrite(25036),rewrite([40590(2)])].
% 118.20/118.58 59123 line_from_to(point_not_on_line(at_least_one_line),point_2_on_line(at_least_one_line)) = at_least_one_line | -line(line_from_to(point_not_on_line(at_least_one_line),point_2_on_line(at_least_one_line))) | point_not_on_line(at_least_one_line) = point_2_on_line(at_least_one_line). [resolve(41401,a,5495,b),merge(d)].
% 118.20/118.58 59124 line_from_to(point_not_on_line(at_least_one_line),point_2_on_line(at_least_one_line)) = at_least_one_line | point_not_on_line(at_least_one_line) = point_2_on_line(at_least_one_line). [resolve(59123,b,4133,a),merge(c)].
% 118.20/118.58 59136 point_not_on_line(at_least_one_line) = point_2_on_line(at_least_one_line). [para(59124(a,1),5882(a,2)),merge(c),unit_del(b,98)].
% 118.20/118.58 59137 $F. [back_rewrite(98),rewrite([59136(2)]),unit_del(a,105)].
% 118.20/118.58
% 118.20/118.58 % SZS output end Refutation
% 118.20/118.58 ============================== end of proof ==========================
% 118.20/118.58
% 118.20/118.58 ============================== STATISTICS ============================
% 118.20/118.58
% 118.20/118.58 Given=8977. Generated=4186912. Kept=59100. proofs=1.
% 118.20/118.58 Usable=405. Sos=12. Demods=4. Limbo=1, Disabled=58739. Hints=0.
% 118.20/118.58 Megabytes=77.72.
% 118.20/118.58 User_CPU=115.30, System_CPU=2.22, Wall_clock=118.
% 118.20/118.58
% 118.20/118.58 ============================== end of statistics =====================
% 118.20/118.58
% 118.20/118.58 ============================== end of search =========================
% 118.20/118.58
% 118.20/118.58 THEOREM PROVED
% 118.20/118.58 % SZS status Unsatisfiable
% 118.20/118.58
% 118.20/118.58 Exiting with 1 proof.
% 118.20/118.58
% 118.20/118.58 Process 13546 exit (max_proofs) Sat Jun 18 09:16:01 2022
% 118.20/118.58 Prover9 interrupted
%------------------------------------------------------------------------------