↑ Up

SOS---2.0.THM-Ref.s

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : SOS---2.0
% Problem  : GEO221+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : sos-script %s

% Computer : n023.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 06:19:21 EDT 2022

% Result   : Theorem 88.27s 88.50s
% Output   : Refutation 88.27s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12  % Problem  : GEO221+3 : TPTP v8.1.0. Released v4.0.0.
% 0.04/0.13  % Command  : sos-script %s
% 0.13/0.34  % Computer : n023.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  : 600
% 0.13/0.34  % DateTime : Sat Jun 18 18:59:19 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.19/0.36  ----- Otter 3.2, August 2001 -----
% 0.19/0.36  The process was started by sandbox on n023.cluster.edu,
% 0.19/0.36  Sat Jun 18 18:59:19 2022
% 0.19/0.36  The command was "./sos".  The process ID is 1079.
% 0.19/0.36  
% 0.19/0.36  set(prolog_style_variables).
% 0.19/0.36  set(auto).
% 0.19/0.36     dependent: set(auto1).
% 0.19/0.36     dependent: set(process_input).
% 0.19/0.36     dependent: clear(print_kept).
% 0.19/0.36     dependent: clear(print_new_demod).
% 0.19/0.36     dependent: clear(print_back_demod).
% 0.19/0.36     dependent: clear(print_back_sub).
% 0.19/0.36     dependent: set(control_memory).
% 0.19/0.36     dependent: assign(max_mem, 12000).
% 0.19/0.36     dependent: assign(pick_given_ratio, 4).
% 0.19/0.36     dependent: assign(stats_level, 1).
% 0.19/0.36     dependent: assign(pick_semantic_ratio, 3).
% 0.19/0.36     dependent: assign(sos_limit, 5000).
% 0.19/0.36     dependent: assign(max_weight, 60).
% 0.19/0.36  clear(print_given).
% 0.19/0.36  
% 0.19/0.36  formula_list(usable).
% 0.19/0.36  
% 0.19/0.36  SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=6.
% 0.19/0.36  
% 0.19/0.36  This ia a non-Horn set with equality.  The strategy will be
% 0.19/0.36  Knuth-Bendix, ordered hyper_res, ur_res, factoring, and
% 0.19/0.36  unit deletion, with positive clauses in sos and nonpositive
% 0.19/0.36  clauses in usable.
% 0.19/0.36  
% 0.19/0.36     dependent: set(knuth_bendix).
% 0.19/0.36     dependent: set(para_from).
% 0.19/0.36     dependent: set(para_into).
% 0.19/0.36     dependent: clear(para_from_right).
% 0.19/0.36     dependent: clear(para_into_right).
% 0.19/0.36     dependent: set(para_from_vars).
% 0.19/0.36     dependent: set(eq_units_both_ways).
% 0.19/0.36     dependent: set(dynamic_demod_all).
% 0.19/0.36     dependent: set(dynamic_demod).
% 0.19/0.36     dependent: set(order_eq).
% 0.19/0.36     dependent: set(back_demod).
% 0.19/0.36     dependent: set(lrpo).
% 0.19/0.36     dependent: set(hyper_res).
% 0.19/0.36     dependent: set(unit_deletion).
% 0.19/0.36     dependent: set(factor).
% 0.19/0.36  
% 0.19/0.36  ------------> process usable:
% 0.19/0.36    Following clause subsumed by 15 during input processing: 0 [] {-} -distinct_lines(A,B)|apart_point_and_line(C,A)|apart_point_and_line(C,B)|convergent_lines(A,B).
% 0.19/0.36    Following clause subsumed by 6 during input processing: 0 [] {-} -convergent_lines(A,B)| -unorthogonal_lines(A,B)|convergent_lines(A,C)|convergent_lines(B,C).
% 0.19/0.36  28 back subsumes 27.
% 0.19/0.36  
% 0.19/0.36  ------------> process sos:
% 0.19/0.36    Following clause subsumed by 39 during input processing: 0 [] {-} convergent_lines(A,B)|unorthogonal_lines(A,B).
% 0.19/0.36  
% 0.19/0.36  ======= end of input processing =======
% 0.19/0.40  
% 0.19/0.40  Model 1 (0.00 seconds, 0 Inserts)
% 0.19/0.40  
% 0.19/0.40  Stopped by limit on number of solutions
% 0.19/0.40  
% 0.19/0.40  
% 0.19/0.40  -------------- Softie stats --------------
% 0.19/0.40  
% 0.19/0.40  UPDATE_STOP: 300
% 0.19/0.40  SFINDER_TIME_LIMIT: 2
% 0.19/0.40  SHORT_CLAUSE_CUTOFF: 4
% 0.19/0.40  number of clauses in intial UL: 37
% 0.19/0.40  number of clauses initially in problem: 44
% 0.19/0.40  percentage of clauses intially in UL: 84
% 0.19/0.40  percentage of distinct symbols occuring in initial UL: 100
% 0.19/0.40  percent of all initial clauses that are short: 100
% 0.19/0.40  absolute distinct symbol count: 19
% 0.19/0.40     distinct predicate count: 12
% 0.19/0.40     distinct function count: 4
% 0.19/0.40     distinct constant count: 3
% 0.19/0.40  
% 0.19/0.40  ---------- no more Softie stats ----------
% 0.19/0.40  
% 0.19/0.40  
% 0.19/0.40  
% 0.19/0.40  Model 2 (0.00 seconds, 0 Inserts)
% 0.19/0.40  
% 0.19/0.40  Stopped by limit on number of solutions
% 0.19/0.40  
% 0.19/0.40  =========== start of search ===========
% 45.70/45.89  
% 45.70/45.89  Stopped by limit on insertions
% 45.70/45.89  
% 45.70/45.89  Model 3 [ 3 1 606 ] (0.00 seconds, 250000 Inserts)
% 45.70/45.89  
% 45.70/45.89  Model 4 (0.00 seconds, 250000 Inserts)
% 45.70/45.89  
% 45.70/45.89  Stopped by limit on number of solutions
% 45.70/45.89  
% 45.70/45.89  Stopped by limit on insertions
% 45.70/45.89  
% 45.70/45.89  Stopped by limit on insertions
% 45.70/45.89  
% 45.70/45.89  Model 5 [ 13 1 991 ] (0.00 seconds, 250000 Inserts)
% 45.70/45.89  
% 45.70/45.89  Stopped by limit on insertions
% 45.70/45.89  
% 45.70/45.89  Model 6 [ 13 0 970 ] (0.00 seconds, 250000 Inserts)
% 45.70/45.89  
% 45.70/45.89  Stopped by limit on insertions
% 45.70/45.89  
% 45.70/45.89  Model 7 [ 1 1 9384 ] (0.00 seconds, 250000 Inserts)
% 45.70/45.89  
% 45.70/45.89  Stopped by limit on insertions
% 45.70/45.89  
% 45.70/45.89  Stopped by limit on insertions
% 45.70/45.89  
% 45.70/45.89  Model 8 [ 16 2 71552 ] (0.00 seconds, 250000 Inserts)
% 45.70/45.89  
% 45.70/45.89  Stopped by limit on insertions
% 45.70/45.89  
% 45.70/45.89  Model 9 [ 15 3 80526 ] (0.00 seconds, 250000 Inserts)
% 45.70/45.89  
% 45.70/45.89  Model 10 [ 13 1 35937 ] (0.00 seconds, 74098 Inserts)
% 45.70/45.89  
% 45.70/45.89  Model 11 [ 55 1 1123 ] (0.00 seconds, 7239 Inserts)
% 45.70/45.89  
% 45.70/45.89  Model 12 [ 49 2 42762 ] (0.00 seconds, 87515 Inserts)
% 45.70/45.89  
% 45.70/45.89  Stopped by limit on insertions
% 45.70/45.89  
% 45.70/45.89  Model 13 [ 85 0 265 ] (0.00 seconds, 250000 Inserts)
% 45.70/45.89  
% 45.70/45.89  Model 14 [ 76 1 1618 ] (0.00 seconds, 9064 Inserts)
% 45.70/45.89  
% 45.70/45.89  Stopped by limit on insertions
% 45.70/45.89  
% 45.70/45.89  Model 15 [ 97 1 560 ] (0.00 seconds, 250000 Inserts)
% 45.70/45.89  
% 45.70/45.89  Model 16 [ 85 1 12705 ] (0.00 seconds, 23066 Inserts)
% 45.70/45.89  
% 45.70/45.89  Model 17 [ 106 1 1733 ] (0.00 seconds, 8857 Inserts)
% 45.70/45.89  
% 45.70/45.89  Stopped by limit on insertions
% 45.70/45.89  
% 45.70/45.89  Model 18 [ 121 1 428 ] (0.00 seconds, 250000 Inserts)
% 45.70/45.89  
% 45.70/45.89  Stopped by limit on insertions
% 45.70/45.89  
% 45.70/45.89  Model 19 [ 133 1 1657 ] (0.00 seconds, 250000 Inserts)
% 45.70/45.89  
% 45.70/45.89  Stopped by limit on insertions
% 45.70/45.89  
% 45.70/45.89  Model 20 [ 160 1 1012 ] (0.00 seconds, 250000 Inserts)
% 45.70/45.89  
% 45.70/45.89  Stopped by limit on insertions
% 45.70/45.89  
% 45.70/45.89  Model 21 [ 175 1 390 ] (0.00 seconds, 250000 Inserts)
% 45.70/45.89  
% 45.70/45.89  Stopped by limit on insertions
% 45.70/45.89  
% 45.70/45.89  Model 22 [ 178 1 1934 ] (0.00 seconds, 250000 Inserts)
% 45.70/45.89  
% 45.70/45.89  Stopped by limit on insertions
% 45.70/45.89  
% 45.70/45.89  Model 23 [ 184 0 788 ] (0.00 seconds, 250000 Inserts)
% 45.70/45.89  
% 45.70/45.89  Stopped by limit on insertions
% 45.70/45.89  
% 45.70/45.89  Model 24 [ 200 1 5468 ] (0.00 seconds, 250000 Inserts)
% 45.70/45.89  
% 45.70/45.89  Stopped by limit on insertions
% 45.70/45.89  
% 45.70/45.89  Stopped by limit on insertions
% 45.70/45.89  
% 45.70/45.89  Stopped by limit on insertions
% 45.70/45.89  
% 45.70/45.89  Model 25 [ 223 1 1419 ] (0.00 seconds, 250000 Inserts)
% 45.70/45.89  
% 45.70/45.89  Stopped by limit on insertions
% 45.70/45.89  
% 45.70/45.89  Model 26 [ 319 0 926 ] (0.00 seconds, 250000 Inserts)
% 45.70/45.89  
% 45.70/45.89  Stopped by limit on insertions
% 45.70/45.89  
% 45.70/45.89  Model 27 [ 331 1 1790 ] (0.00 seconds, 250000 Inserts)
% 45.70/45.89  
% 45.70/45.89  Stopped by limit on insertions
% 45.70/45.89  
% 45.70/45.89  Stopped by limit on insertions
% 45.70/45.89  
% 45.70/45.89  Stopped by limit on insertions
% 45.70/45.89  
% 45.70/45.89  Stopped by limit on insertions
% 45.70/45.89  
% 45.70/45.89  Stopped by limit on insertions
% 45.70/45.89  
% 45.70/45.89  Model 28 [ 591 2 726 ] (0.00 seconds, 250000 Inserts)
% 45.70/45.89  
% 45.70/45.89  Stopped by limit on insertions
% 45.70/45.89  
% 45.70/45.89  Model 29 [ 679 3 1148 ] (0.00 seconds, 250000 Inserts)
% 45.70/45.89  
% 45.70/45.89  Stopped by limit on insertions
% 45.70/45.89  
% 45.70/45.89  Stopped by limit on insertions
% 45.70/45.89  
% 45.70/45.89  Stopped by limit on insertions
% 45.70/45.89  
% 45.70/45.89  Model 30 [ 588 2 588 ] (0.00 seconds, 250000 Inserts)
% 45.70/45.89  
% 45.70/45.89  Stopped by limit on insertions
% 45.70/45.89  
% 45.70/45.89  Stopped by limit on insertions
% 45.70/45.89  
% 45.70/45.89  Model 31 [ 600 2 710 ] (0.00 seconds, 250000 Inserts)
% 45.70/45.89  
% 45.70/45.89  Stopped by limit on insertions
% 45.70/45.89  
% 45.70/45.89  Stopped by limit on insertions
% 45.70/45.89  
% 45.70/45.89  Model 32 [ 605 2 377 ] (0.00 seconds, 250000 Inserts)
% 45.70/45.89  
% 45.70/45.89  Stopped by limit on insertions
% 45.70/45.89  
% 45.70/45.89  Model 33 [ 595 3 404 ] (0.00 seconds, 250000 Inserts)
% 45.70/45.89  
% 45.70/45.89  Stopped by limit on insertions
% 45.70/45.89  
% 45.70/45.89  Stopped by limit on insertions
% 45.70/45.89  
% 45.70/45.89  Model 34 [ 687 2 1169 ] (0.00 seconds, 250000 Inserts)
% 45.70/45.89  
% 45.70/45.89  Stopped by limit on insertions
% 45.70/45.89  
% 45.70/45.89  Stopped by limit on insertions
% 45.70/45.89  
% 45.70/45.89  Stopped by limit on insertions
% 45.70/45.89  
% 45.70/45.89  Model 35 [ 628 3 803 ] (0.00 seconds, 250000 Inserts)
% 45.70/45.89  
% 45.70/45.89  Stopped by limit on insertions
% 45.70/45.89  
% 45.70/45.89  Model 36 [ 528 3 1118 ] (0.00 seconds, 250000 Inserts)
% 45.70/45.89  
% 45.70/45.89  Stopped by limit on insertions
% 45.70/45.89  
% 45.70/45.89  Stopped by limit on insertions
% 45.70/45.89  
% 45.70/45.89  Model 37 [ 549 3 821 ] (0.00 seconds, 250000 Inserts)
% 45.70/45.89  
% 45.70/45.89  Stopped by limit on insertions
% 45.70/45.89  
% 45.70/45.89  Stopped by limit on insertions
% 45.70/45.89  
% 45.70/45.89  Model 38 [ 532 3 1607 ] (0.00 seconds, 250000 Inserts)
% 45.70/45.89  
% 45.70/45.89  Stopped by limit on insertions
% 45.70/45.89  
% 45.70/45.89  Stopped by limit on insertions
% 45.70/45.89  
% 45.70/45.89  Model 39 [ 632 2 260 ] (0.00 seconds, 250000 Inserts)
% 45.70/45.89  
% 45.70/45.89  Stopped by limit on insertions
% 45.70/45.89  
% 45.70/45.89  Stopped by limit on insertions
% 45.70/45.89  
% 45.70/45.89  Stopped by limit on insertions
% 45.70/45.89  
% 45.70/45.89  Stopped by limit on insertions
% 45.70/45.89  
% 45.70/45.89  Stopped by limit on insertions
% 45.70/45.89  
% 45.70/45.89  Model 40 [ 708 2 269 ] (0.00 seconds, 250000 Inserts)
% 45.70/45.89  
% 45.70/45.89  Stopped by limit on insertions
% 45.70/45.89  
% 45.70/45.89  Model 41 [ 540 2 645 ] (0.00 seconds, 250000 Inserts)
% 45.70/45.89  
% 45.70/45.89  Stopped by limit on insertions
% 45.70/45.89  
% 45.70/45.89  Model 42 [ 702 2 385 ] (0.00 seconds, 250000 Inserts)
% 45.70/45.89  
% 45.70/45.89  Stopped by limit on insertions
% 45.70/45.89  
% 45.70/45.89  Model 43 [ 738 3 848 ] (0.00 seconds, 250000 Inserts)
% 45.70/45.89  
% 49.50/49.75  Stopped by limit on insertio
% 49.50/49.75  
% 49.50/49.75  Changing weight limit from 60 to 27.
% 49.50/49.75  ns
% 49.50/49.75  
% 49.50/49.75  Model 44 [ 543 3 232 ] (0.00 seconds, 250000 Inserts)
% 49.50/49.75  
% 49.50/49.75  Stopped by limit on insertions
% 49.50/49.75  
% 49.50/49.75  Model 45 [ 629 3 709 ] (0.00 seconds, 250000 Inserts)
% 49.50/49.75  
% 49.50/49.75  Stopped by limit on insertions
% 49.50/49.75  
% 49.50/49.75  Model 46 [ 546 3 595 ] (0.00 seconds, 250000 Inserts)
% 49.50/49.75  
% 49.50/49.75  Stopped by limit on insertions
% 49.50/49.75  
% 49.50/49.75  Model 47 [ 665 3 1198 ] (0.00 seconds, 250000 Inserts)
% 49.50/49.75  
% 49.50/49.75  Resetting weight limit to 27 after 190 givens.
% 49.50/49.75  
% 50.57/50.75  
% 50.57/50.75  
% 50.57/50.75  Changing weight limit from 27 to 28.
% 50.57/50.75  
% 50.57/50.75  Stopped by limit on insertions
% 50.57/50.75  
% 50.57/50.75  Model 48 [ 573 3 1501 ] (0.00 seconds, 250000 Inserts)
% 50.57/50.75  
% 50.57/50.75  Resetting weight limit to 28 after 200 givens.
% 50.57/50.75  
% 50.78/50.95  
% 50.78/50.95  
% 50.78/50.95  Changing weight limit from 28 to 29.
% 50.78/50.95  
% 50.78/50.95  Resetting weight limit to 29 after 205 givens.
% 50.78/50.95  
% 51.17/51.40  
% 51.17/51.40  
% 51.17/51.40  Changing weight limit from 29 to 26.
% 51.17/51.40  
% 51.17/51.40  Resetting weight limit to 26 after 215 givens.
% 51.17/51.40  
% 51.41/51.59  
% 51.41/51.59  
% 51.41/51.59  Changing weight limit from 26 to 25.
% 51.41/51.59  
% 51.41/51.59  Resetting weight limit to 25 after 220 givens.
% 51.41/51.59  
% 72.40/72.67  
% 72.40/72.67  
% 72.40/72.67  Changing weight limit from 25 to 22.
% 72.40/72.67  
% 72.40/72.67  Stopped by limit on insertions
% 72.40/72.67  
% 72.40/72.67  Model 49 [ 692 4 1358 ] (0.00 seconds, 250000 Inserts)
% 72.40/72.67  
% 72.40/72.67  Stopped by limit on insertions
% 72.40/72.67  
% 72.40/72.67  Model 50 [ 585 4 1442 ] (0.00 seconds, 250000 Inserts)
% 72.40/72.67  
% 72.40/72.67  Stopped by limit on insertions
% 72.40/72.67  
% 72.40/72.67  Stopped by limit on insertions
% 72.40/72.67  
% 72.40/72.67  Model 51 [ 844 4 966 ] (0.00 seconds, 250000 Inserts)
% 72.40/72.67  
% 72.40/72.67  Stopped by limit on insertions
% 72.40/72.67  
% 72.40/72.67  Stopped by limit on insertions
% 72.40/72.67  
% 72.40/72.67  Model 52 [ 852 4 1839 ] (0.00 seconds, 250000 Inserts)
% 72.40/72.67  
% 72.40/72.67  Resetting weight limit to 22 after 345 givens.
% 72.40/72.67  
% 74.76/75.01  
% 74.76/75.01  
% 74.76/75.01  Changing weight limit from 22 to 23.
% 74.76/75.01  
% 74.76/75.01  Stopped by limit on insertions
% 74.76/75.01  
% 74.76/75.01  Model 53 [ 763 32 67323 ] (0.00 seconds, 250000 Inserts)
% 74.76/75.01  
% 74.76/75.01  Stopped by limit on insertions
% 74.76/75.01  
% 74.76/75.01  Model 54 [ 738 4 367 ] (0.00 seconds, 250000 Inserts)
% 74.76/75.01  
% 74.76/75.01  Resetting weight limit to 23 after 360 givens.
% 74.76/75.01  
% 88.27/88.50  
% 88.27/88.50  -- HEY sandbox, WE HAVE A PROOF!! -- 
% 88.27/88.50  
% 88.27/88.50  Stopped by limit on insertions
% 88.27/88.50  
% 88.27/88.50  Stopped by limit on insertions
% 88.27/88.50  
% 88.27/88.50  Stopped by limit on insertions
% 88.27/88.50  
% 88.27/88.50  Model 55 [ 903 4 865 ] (0.00 seconds, 250000 Inserts)
% 88.27/88.50  
% 88.27/88.50  Stopped by limit on insertions
% 88.27/88.50  
% 88.27/88.50  Model 56 [ 865 4 1089 ] (0.00 seconds, 250000 Inserts)
% 88.27/88.50  
% 88.27/88.50  Stopped by limit on insertions
% 88.27/88.50  
% 88.27/88.50  Stopped by limit on insertions
% 88.27/88.50  
% 88.27/88.50  Modelling stopped after 300 given clauses and 0.00 seconds
% 88.27/88.50  
% 88.27/88.50  
% 88.27/88.50  ----> UNIT CONFLICT at  88.07 sec ----> 16648 [binary,16647.1,21.1] {-} $F.
% 88.27/88.50  
% 88.27/88.50  Length of proof is 7.  Level of proof is 4.
% 88.27/88.50  
% 88.27/88.50  ---------------- PROOF ----------------
% 88.27/88.50  % SZS status Theorem
% 88.27/88.50  % SZS output start Refutation
% 88.27/88.50  
% 88.27/88.50  15 [] {+} -distinct_lines(A,B)|convergent_lines(A,B).
% 88.27/88.50  20 [] {+} -convergent_lines(A,B)| -unorthogonal_lines(A,B)|unorthogonal_lines(A,C)|unorthogonal_lines(B,C).
% 88.27/88.50  21 [] {+} -unorthogonal_lines(orthogonal_through_point(A,B),A).
% 88.27/88.50  28 [] {+} unorthogonal_lines(A,B)|unorthogonal_lines(A,C)| -convergent_lines(B,C).
% 88.27/88.50  37 [] {+} -orthogonal_lines(A,B)| -unorthogonal_lines(A,B).
% 88.27/88.50  38 [] {+} -equal_lines(orthogonal_through_point($c1,$c3),orthogonal_through_point($c1,$c2)).
% 88.27/88.50  39 [] {+} convergent_lines(A,B)|unorthogonal_lines(A,B).
% 88.27/88.50  41 [] {-} equal_lines(A,B)|distinct_lines(A,B).
% 88.27/88.50  44 [] {+} orthogonal_lines(A,B)|unorthogonal_lines(A,B).
% 88.27/88.50  46 [hyper,39,21] {+} convergent_lines(orthogonal_through_point(A,B),A).
% 88.27/88.50  62 [hyper,46,28] {+} unorthogonal_lines(A,orthogonal_through_point(B,C))|unorthogonal_lines(A,B).
% 88.27/88.50  66 [hyper,41,38] {-} distinct_lines(orthogonal_through_point($c1,$c3),orthogonal_through_point($c1,$c2)).
% 88.27/88.50  94 [hyper,44,21] {+} orthogonal_lines(orthogonal_through_point(A,B),A).
% 88.27/88.50  98 [hyper,66,15] {-} convergent_lines(orthogonal_through_point($c1,$c3),orthogonal_through_point($c1,$c2)).
% 88.27/88.50  158 [hyper,62,20,98,unit_del,21] {-} unorthogonal_lines(orthogonal_through_point($c1,$c3),A)|unorthogonal_lines(orthogonal_through_point($c1,$c2),A).
% 88.27/88.50  16647 [hyper,158,37,94] {-} unorthogonal_lines(orthogonal_through_point($c1,$c2),$c1).
% 88.27/88.50  16648 [binary,16647.1,21.1] {-} $F.
% 88.27/88.50  
% 88.27/88.50  % SZS output end Refutation
% 88.27/88.50  ------------ end of proof -------------
% 88.27/88.50  
% 88.27/88.50  
% 88.27/88.50  Search stopped by max_proofs option.
% 88.27/88.50  
% 88.27/88.50  
% 88.27/88.50  Search stopped by max_proofs option.
% 88.27/88.50  
% 88.27/88.50  ============ end of search ============
% 88.27/88.50  
% 88.27/88.50  ----------- soft-scott stats ----------
% 88.27/88.50  
% 88.27/88.50  true clauses given          95      (22.6%)
% 88.27/88.50  false clauses given        326
% 88.27/88.50  
% 88.27/88.50        FALSE     TRUE
% 88.27/88.50     8  0         13
% 88.27/88.50     9  38        110
% 88.27/88.50    10  223       202
% 88.27/88.50    11  439       351
% 88.27/88.50    12  456       71
% 88.27/88.50    13  395       119
% 88.27/88.50    14  26        171
% 88.27/88.50    15  57        131
% 88.27/88.50    16  76        321
% 88.27/88.50    17  122       175
% 88.27/88.50    18  242       191
% 88.27/88.50    19  51        64
% 88.27/88.50    20  145       71
% 88.27/88.50    21  237       50
% 88.27/88.50    22  0         27
% 88.27/88.50    23  0         9
% 88.27/88.50  tot:  2507      2076      (45.3% true)
% 88.27/88.50  
% 88.27/88.50  
% 88.27/88.50  Model 56 [ 865 -288 1089 ] (0.00 seconds, 250000 Inserts)
% 88.27/88.50  
% 88.27/88.50  That finishes the proof of the theorem.
% 88.27/88.50  
% 88.27/88.50  Process 1079 finished Sat Jun 18 19:00:47 2022
%------------------------------------------------------------------------------