TSTP Solution File: GEO604+1 by SOS---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SOS---2.0
% Problem  : GEO604+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : sos-script %s

% Computer : n028.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 06:21:06 EDT 2022

% Result   : Theorem 51.92s 52.13s
% Output   : Refutation 51.92s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12  % Problem  : GEO604+1 : TPTP v8.1.0. Released v7.5.0.
% 0.04/0.12  % Command  : sos-script %s
% 0.12/0.33  % Computer : n028.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Sat Jun 18 01:52:59 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.18/0.36  ----- Otter 3.2, August 2001 -----
% 0.18/0.36  The process was started by sandbox on n028.cluster.edu,
% 0.18/0.36  Sat Jun 18 01:52:59 2022
% 0.18/0.36  The command was "./sos".  The process ID is 29380.
% 0.18/0.36  
% 0.18/0.36  set(prolog_style_variables).
% 0.18/0.36  set(auto).
% 0.18/0.36     dependent: set(auto1).
% 0.18/0.36     dependent: set(process_input).
% 0.18/0.36     dependent: clear(print_kept).
% 0.18/0.36     dependent: clear(print_new_demod).
% 0.18/0.36     dependent: clear(print_back_demod).
% 0.18/0.36     dependent: clear(print_back_sub).
% 0.18/0.36     dependent: set(control_memory).
% 0.18/0.36     dependent: assign(max_mem, 12000).
% 0.18/0.36     dependent: assign(pick_given_ratio, 4).
% 0.18/0.36     dependent: assign(stats_level, 1).
% 0.18/0.36     dependent: assign(pick_semantic_ratio, 3).
% 0.18/0.36     dependent: assign(sos_limit, 5000).
% 0.18/0.36     dependent: assign(max_weight, 60).
% 0.18/0.36  clear(print_given).
% 0.18/0.36  
% 0.18/0.36  formula_list(usable).
% 0.18/0.36  
% 0.18/0.36  SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=5.
% 0.18/0.36  
% 0.18/0.36  This ia a non-Horn set with equality.  The strategy will be
% 0.18/0.36  Knuth-Bendix, ordered hyper_res, ur_res, factoring, and
% 0.18/0.36  unit deletion, with positive clauses in sos and nonpositive
% 0.18/0.36  clauses in usable.
% 0.18/0.36  
% 0.18/0.36     dependent: set(knuth_bendix).
% 0.18/0.36     dependent: set(para_from).
% 0.18/0.36     dependent: set(para_into).
% 0.18/0.36     dependent: clear(para_from_right).
% 0.18/0.36     dependent: clear(para_into_right).
% 0.18/0.36     dependent: set(para_from_vars).
% 0.18/0.36     dependent: set(eq_units_both_ways).
% 0.18/0.36     dependent: set(dynamic_demod_all).
% 0.18/0.36     dependent: set(dynamic_demod).
% 0.18/0.36     dependent: set(order_eq).
% 0.18/0.36     dependent: set(back_demod).
% 0.18/0.36     dependent: set(lrpo).
% 0.18/0.36     dependent: set(hyper_res).
% 0.18/0.36     dependent: set(unit_deletion).
% 0.18/0.36     dependent: set(factor).
% 0.18/0.36  
% 0.18/0.36  ------------> process usable:
% 0.18/0.36    Following clause subsumed by 72 during input processing: 0 [] {-} -eqangle(A,B,C,D,C,D,A,B)|perp(A,B,C,D)|para(A,B,C,D).
% 0.18/0.36  
% 0.18/0.36  ------------> process sos:
% 0.18/0.36    Following clause subsumed by 165 during input processing: 0 [copy,165,flip.1] {-} A=A.
% 0.18/0.36  165 back subsumes 146.
% 0.18/0.36  165 back subsumes 145.
% 0.18/0.36  165 back subsumes 144.
% 0.18/0.36  165 back subsumes 143.
% 0.18/0.36  
% 0.18/0.36  ======= end of input processing =======
% 0.18/0.43  
% 0.18/0.43  
% 0.18/0.43  Failed to model usable list: disabling FINDER
% 0.18/0.43  
% 0.18/0.43  
% 0.18/0.43  
% 0.18/0.43  -------------- Softie stats --------------
% 0.18/0.43  
% 0.18/0.43  UPDATE_STOP: 300
% 0.18/0.43  SFINDER_TIME_LIMIT: 2
% 0.18/0.43  SHORT_CLAUSE_CUTOFF: 4
% 0.18/0.43  number of clauses in intial UL: 154
% 0.18/0.43  number of clauses initially in problem: 161
% 0.18/0.43  percentage of clauses intially in UL: 95
% 0.18/0.43  percentage of distinct symbols occuring in initial UL: 89
% 0.18/0.43  percent of all initial clauses that are short: 100
% 0.18/0.43  absolute distinct symbol count: 39
% 0.18/0.43     distinct predicate count: 12
% 0.18/0.43     distinct function count: 20
% 0.18/0.43     distinct constant count: 7
% 0.18/0.43  
% 0.18/0.43  ---------- no more Softie stats ----------
% 0.18/0.43  
% 0.18/0.43  
% 0.18/0.43  
% 0.18/0.43  =========== start of search ===========
% 6.62/6.85  
% 6.62/6.85  
% 6.62/6.85  Changing weight limit from 60 to 57.
% 6.62/6.85  
% 6.62/6.85  Resetting weight limit to 57 after 245 givens.
% 6.62/6.85  
% 7.26/7.46  
% 7.26/7.46  
% 7.26/7.46  Changing weight limit from 57 to 56.
% 7.26/7.46  
% 7.26/7.46  Resetting weight limit to 56 after 250 givens.
% 7.26/7.46  
% 9.51/9.72  
% 9.51/9.72  
% 9.51/9.72  Changing weight limit from 56 to 55.
% 9.51/9.72  
% 9.51/9.72  Resetting weight limit to 55 after 265 givens.
% 9.51/9.72  
% 11.39/11.61  
% 11.39/11.61  
% 11.39/11.61  Changing weight limit from 55 to 54.
% 11.39/11.61  
% 11.39/11.61  Resetting weight limit to 54 after 280 givens.
% 11.39/11.61  
% 12.52/12.72  
% 12.52/12.72  
% 12.52/12.72  Changing weight limit from 54 to 52.
% 12.52/12.72  
% 12.52/12.72  Resetting weight limit to 52 after 295 givens.
% 12.52/12.72  
% 13.68/13.86  
% 13.68/13.86  
% 13.68/13.86  Changing weight limit from 52 to 51.
% 13.68/13.86  
% 13.68/13.86  Modelling stopped after 300 given clauses and 0.00 seconds
% 13.68/13.86  
% 13.68/13.86  
% 13.68/13.86  Resetting weight limit to 51 after 310 givens.
% 13.68/13.86  
% 17.08/17.26  
% 17.08/17.26  
% 17.08/17.26  Changing weight limit from 51 to 50.
% 17.08/17.26  
% 17.08/17.26  Resetting weight limit to 50 after 355 givens.
% 17.08/17.26  
% 20.30/20.50  
% 20.30/20.50  
% 20.30/20.50  Changing weight limit from 50 to 49.
% 20.30/20.50  
% 20.30/20.50  Resetting weight limit to 49 after 410 givens.
% 20.30/20.50  
% 21.51/21.69  
% 21.51/21.69  
% 21.51/21.69  Changing weight limit from 49 to 46.
% 21.51/21.69  
% 21.51/21.69  Resetting weight limit to 46 after 420 givens.
% 21.51/21.69  
% 22.84/23.03  
% 22.84/23.03  
% 22.84/23.03  Changing weight limit from 46 to 37.
% 22.84/23.03  
% 22.84/23.03  Resetting weight limit to 37 after 430 givens.
% 22.84/23.03  
% 23.06/23.29  
% 23.06/23.29  
% 23.06/23.29  Changing weight limit from 37 to 36.
% 23.06/23.29  
% 23.06/23.29  Resetting weight limit to 36 after 435 givens.
% 23.06/23.29  
% 23.45/23.68  
% 23.45/23.68  
% 23.45/23.68  Changing weight limit from 36 to 30.
% 23.45/23.68  
% 23.45/23.68  Resetting weight limit to 30 after 440 givens.
% 23.45/23.68  
% 26.36/26.56  
% 26.36/26.56  
% 26.36/26.56  Changing weight limit from 30 to 29.
% 26.36/26.56  
% 26.36/26.56  Resetting weight limit to 29 after 480 givens.
% 26.36/26.56  
% 27.10/27.34  
% 27.10/27.34  
% 27.10/27.34  Changing weight limit from 29 to 21.
% 27.10/27.34  
% 27.10/27.34  Resetting weight limit to 21 after 525 givens.
% 27.10/27.34  
% 27.16/27.35  
% 27.16/27.35  
% 27.16/27.35  Changing weight limit from 21 to 17.
% 27.16/27.35  
% 27.16/27.35  Resetting weight limit to 17 after 530 givens.
% 27.16/27.35  
% 27.23/27.43  
% 27.23/27.43  
% 27.23/27.43  Changing weight limit from 17 to 11.
% 27.23/27.43  
% 27.23/27.43  Resetting weight limit to 11 after 535 givens.
% 27.23/27.43  
% 27.27/27.49  
% 27.27/27.49  
% 27.27/27.49  Changing weight limit from 11 to 10.
% 27.27/27.49  
% 27.27/27.49  Resetting weight limit to 10 after 560 givens.
% 27.27/27.49  
% 29.01/29.20  
% 29.01/29.20  
% 29.01/29.20  Changing weight limit from 10 to 9.
% 29.01/29.20  
% 29.01/29.20  Resetting weight limit to 9 after 1115 givens.
% 29.01/29.20  
% 39.85/40.06  
% 39.85/40.06  
% 39.85/40.06  Changing weight limit from 9 to 8.
% 39.85/40.06  
% 39.85/40.06  Resetting weight limit to 8 after 4970 givens.
% 39.85/40.06  
% 51.09/51.35  
% 51.09/51.35  
% 51.09/51.35  Changing weight limit from 8 to 7.
% 51.09/51.35  
% 51.09/51.35  Resetting weight limit to 7 after 7145 givens.
% 51.09/51.35  
% 51.26/51.45  
% 51.26/51.45  
% 51.26/51.45  Changing weight limit from 7 to 5.
% 51.26/51.45  
% 51.26/51.45  Resetting weight limit to 5 after 7165 givens.
% 51.26/51.45  
% 51.92/52.13  
% 51.92/52.13  -- HEY sandbox, WE HAVE A PROOF!! -- 
% 51.92/52.13  
% 51.92/52.13  ----> UNIT CONFLICT at  50.92 sec ----> 200445 [binary,200444.1,113.1] {-} $F.
% 51.92/52.13  
% 51.92/52.13  Length of proof is 117.  Level of proof is 16.
% 51.92/52.13  
% 51.92/52.13  ---------------- PROOF ----------------
% 51.92/52.13  % SZS status Theorem
% 51.92/52.13  % SZS output start Refutation
% 51.92/52.13  
% 51.92/52.13  1 [] {+} -coll(A,B,C)|coll(A,C,B).
% 51.92/52.13  2 [] {+} -coll(A,B,C)|coll(B,A,C).
% 51.92/52.13  3 [] {+} -coll(A,B,C)| -coll(A,B,D)|coll(C,D,A).
% 51.92/52.13  4 [] {+} -para(A,B,C,D)|para(A,B,D,C).
% 51.92/52.13  5 [] {+} -para(A,B,C,D)|para(C,D,A,B).
% 51.92/52.13  6 [] {+} -para(A,B,C,D)| -para(C,D,E,F)|para(A,B,E,F).
% 51.92/52.13  7 [] {+} -perp(A,B,C,D)|perp(A,B,D,C).
% 51.92/52.13  8 [] {+} -perp(A,B,C,D)|perp(C,D,A,B).
% 51.92/52.13  9 [] {+} -perp(A,B,C,D)| -perp(C,D,E,F)|para(A,B,E,F).
% 51.92/52.13  10 [] {+} -para(A,B,C,D)| -perp(C,D,E,F)|perp(A,B,E,F).
% 51.92/52.13  11 [] {+} -midp(A,B,C)|midp(A,C,B).
% 51.92/52.13  12 [] {+} -cong(A,B,A,C)| -cong(A,B,A,D)|circle(A,B,C,D).
% 51.92/52.13  13 [] {+} -cong(A,B,A,C)| -cong(A,B,A,D)| -cong(A,B,A,E)|cyclic(B,C,D,E).
% 51.92/52.13  25 [] {+} -cong(A,B,C,D)| -cong(C,D,E,F)|cong(A,B,E,F).
% 51.92/52.13  40 [] {+} -para(A,B,C,D)|eqangle(A,B,E,F,C,D,E,F).
% 51.92/52.13  44 [] {+} -cyclic(A,B,C,D)| -cyclic(A,B,C,E)| -cyclic(A,B,C,F)| -eqangle(C,A,C,B,F,D,F,E)|cong(A,B,D,E).
% 51.92/52.13  45 [] {+} -midp(A,B,C)| -midp(D,B,E)|para(A,D,C,E).
% 51.92/52.13  46 [] {+} -midp(A,B,C)| -para(A,D,C,E)| -coll(D,B,E)|midp(D,B,E).
% 51.92/52.13  53 [] {+} -perp(A,B,B,C)| -midp(D,A,C)|cong(A,D,B,D).
% 51.92/52.13  54 [] {+} -circle(A,B,C,D)| -coll(A,B,D)|perp(B,C,C,D).
% 51.92/52.13  57 [] {+} -cong(A,B,C,B)| -cong(A,D,C,D)|perp(A,C,B,D).
% 51.92/52.13  64 [] {+} -midp(A,B,C)| -midp(A,D,E)|para(B,D,C,E).
% 51.92/52.13  65 [] {+} -midp(A,B,C)| -para(B,D,C,E)| -para(B,E,C,D)|midp(A,D,E).
% 51.92/52.13  68 [] {+} -cong(A,B,A,C)| -coll(A,B,C)|midp(A,B,C).
% 51.92/52.13  69 [] {+} -midp(A,B,C)|cong(A,B,A,C).
% 51.92/52.13  70 [] {+} -midp(A,B,C)|coll(A,B,C).
% 51.92/52.13  113 [] {+} -perp($c4,$c1,$c4,$c2).
% 51.92/52.13  114 [factor,3.1.2] {+} -coll(A,B,C)|coll(C,C,A).
% 51.92/52.13  116 [factor,12.1.2] {+} -cong(A,B,A,C)|circle(A,B,C,C).
% 51.92/52.13  117 [factor,13.1.2] {+} -cong(A,B,A,C)| -cong(A,B,A,D)|cyclic(B,C,C,D).
% 51.92/52.13  123 [factor,44.2.3] {+} -cyclic(A,B,C,D)| -cyclic(A,B,C,E)| -eqangle(C,A,C,B,E,D,E,E)|cong(A,B,D,E).
% 51.92/52.13  124 [factor,45.1.2] {+} -midp(A,B,C)|para(A,A,C,C).
% 51.92/52.13  128 [factor,64.1.2] {+} -midp(A,B,C)|para(B,B,C,C).
% 51.92/52.13  129 [factor,65.2.3] {+} -midp(A,B,C)| -para(B,D,C,D)|midp(A,D,D).
% 51.92/52.13  154 [factor,117.1.2] {+} -cong(A,B,A,C)|cyclic(B,C,C,C).
% 51.92/52.13  159 [] {-} perp($c4,$c5,$c7,$c6).
% 51.92/52.13  160 [] {-} coll($c4,$c7,$c6).
% 51.92/52.13  161 [] {-} perp($c6,$c5,$c7,$c3).
% 51.92/52.13  162 [] {-} coll($c3,$c5,$c4).
% 51.92/52.13  163 [] {-} midp($c2,$c7,$c3).
% 51.92/52.13  164 [] {-} midp($c1,$c5,$c6).
% 51.92/52.13  166 [hyper,159,8] {-} perp($c7,$c6,$c4,$c5).
% 51.92/52.13  184 [hyper,160,114] {-} coll($c6,$c6,$c4).
% 51.92/52.13  185 [hyper,160,2] {-} coll($c7,$c4,$c6).
% 51.92/52.13  186 [hyper,160,1] {-} coll($c4,$c6,$c7).
% 51.92/52.13  199 [hyper,162,114] {-} coll($c4,$c4,$c3).
% 51.92/52.13  200 [hyper,162,2] {-} coll($c5,$c3,$c4).
% 51.92/52.13  201 [hyper,162,1] {-} coll($c3,$c4,$c5).
% 51.92/52.13  220 [hyper,163,70] {-} coll($c2,$c7,$c3).
% 51.92/52.13  221 [hyper,163,69] {-} cong($c2,$c7,$c2,$c3).
% 51.92/52.13  222 [hyper,163,11] {-} midp($c2,$c3,$c7).
% 51.92/52.13  235 [hyper,161,8] {-} perp($c7,$c3,$c6,$c5).
% 51.92/52.13  257 [hyper,164,128] {-} para($c5,$c5,$c6,$c6).
% 51.92/52.13  267 [hyper,164,70] {-} coll($c1,$c5,$c6).
% 51.92/52.13  268 [hyper,164,69] {-} cong($c1,$c5,$c1,$c6).
% 51.92/52.13  269 [hyper,164,11] {-} midp($c1,$c6,$c5).
% 51.92/52.13  282 [hyper,184,114] {-} coll($c4,$c4,$c6).
% 51.92/52.13  283 [hyper,184,1] {-} coll($c6,$c4,$c6).
% 51.92/52.13  296 [hyper,185,114] {-} coll($c6,$c6,$c7).
% 51.92/52.13  297 [hyper,185,1] {-} coll($c7,$c6,$c4).
% 51.92/52.13  310 [hyper,186,114] {-} coll($c7,$c7,$c4).
% 51.92/52.13  324 [hyper,166,9,159] {-} para($c4,$c5,$c4,$c5).
% 51.92/52.13  325 [hyper,166,9,159] {-} para($c7,$c6,$c7,$c6).
% 51.92/52.13  326 [hyper,166,7] {-} perp($c7,$c6,$c5,$c4).
% 51.92/52.13  343 [hyper,199,114] {-} coll($c3,$c3,$c4).
% 51.92/52.13  357 [hyper,200,114] {-} coll($c4,$c4,$c5).
% 51.92/52.13  371 [hyper,201,114] {-} coll($c5,$c5,$c3).
% 51.92/52.13  372 [hyper,201,2] {-} coll($c4,$c3,$c5).
% 51.92/52.13  385 [hyper,220,114] {-} coll($c3,$c3,$c2).
% 51.92/52.13  387 [hyper,220,1] {-} coll($c2,$c3,$c7).
% 51.92/52.13  440 [hyper,222,69] {-} cong($c2,$c3,$c2,$c7).
% 51.92/52.13  455 [hyper,267,114] {-} coll($c6,$c6,$c1).
% 51.92/52.13  456 [hyper,267,2] {-} coll($c5,$c1,$c6).
% 51.92/52.13  457 [hyper,267,1] {-} coll($c1,$c6,$c5).
% 51.92/52.13  475 [hyper,269,124] {-} para($c1,$c1,$c5,$c5).
% 51.92/52.13  500 [hyper,269,69] {-} cong($c1,$c6,$c1,$c5).
% 51.92/52.13  501 [hyper,269,64,164] {-} para($c5,$c6,$c6,$c5).
% 51.92/52.13  630 [hyper,283,114] {-} coll($c6,$c6,$c6).
% 51.92/52.13  644 [hyper,296,114] {-} coll($c7,$c7,$c6).
% 51.92/52.13  658 [hyper,297,114] {-} coll($c4,$c4,$c7).
% 51.92/52.13  672 [hyper,310,1] {-} coll($c7,$c4,$c7).
% 51.92/52.13  826 [hyper,357,3,282] {-} coll($c6,$c5,$c4).
% 51.92/52.13  827 [hyper,357,3,282] {-} coll($c5,$c6,$c4).
% 51.92/52.13  955 [hyper,371,1] {-} coll($c5,$c3,$c5).
% 51.92/52.13  982 [hyper,385,3,343] {-} coll($c4,$c2,$c3).
% 51.92/52.13  1111 [hyper,387,114] {-} coll($c7,$c7,$c2).
% 51.92/52.13  1143 [hyper,456,114] {-} coll($c6,$c6,$c5).
% 51.92/52.13  1237 [hyper,457,114] {-} coll($c5,$c5,$c1).
% 51.92/52.13  1372 [hyper,630,3,455] {-} coll($c1,$c6,$c6).
% 51.92/52.13  1502 [hyper,658,3,357] {-} coll($c5,$c7,$c4).
% 51.92/52.13  1530 [hyper,672,114] {-} coll($c7,$c7,$c7).
% 51.92/52.13  1746 [hyper,826,1] {-} coll($c6,$c4,$c5).
% 51.92/52.13  1759 [hyper,827,1] {-} coll($c5,$c4,$c6).
% 51.92/52.13  1866 [hyper,955,114] {-} coll($c5,$c5,$c5).
% 51.92/52.13  1962 [hyper,982,1] {-} coll($c4,$c3,$c2).
% 51.92/52.13  2089 [hyper,1111,3,644] {-} coll($c6,$c2,$c7).
% 51.92/52.13  2280 [hyper,1143,3,630] {-} coll($c5,$c6,$c6).
% 51.92/52.13  2569 [hyper,1502,1] {-} coll($c5,$c4,$c7).
% 51.92/52.13  2678 [hyper,1530,3,1111] {-} coll($c2,$c7,$c7).
% 51.92/52.13  2891 [hyper,1746,2] {-} coll($c4,$c6,$c5).
% 51.92/52.13  2994 [hyper,1866,3,1237] {-} coll($c1,$c5,$c5).
% 51.92/52.13  3099 [hyper,1962,3,372] {-} coll($c2,$c5,$c4).
% 51.92/52.13  3344 [hyper,2089,1] {-} coll($c6,$c7,$c2).
% 51.92/52.13  4263 [hyper,2569,3,1759] {-} coll($c6,$c7,$c5).
% 51.92/52.13  6447 [hyper,4263,3,3344] {-} coll($c2,$c5,$c6).
% 51.92/52.13  6707 [hyper,235,9,161] {-} para($c6,$c5,$c6,$c5).
% 51.92/52.13  8447 [hyper,268,154] {-} cyclic($c5,$c6,$c6,$c6).
% 51.92/52.13  8448 [hyper,268,116] {-} circle($c1,$c5,$c6,$c6).
% 51.92/52.13  8573 [hyper,324,4] {-} para($c4,$c5,$c5,$c4).
% 51.92/52.13  8712 [hyper,326,8] {-} perp($c5,$c4,$c7,$c6).
% 51.92/52.13  9085 [hyper,440,25,221] {-} cong($c2,$c7,$c2,$c7).
% 51.92/52.13  9547 [hyper,475,5] {-} para($c5,$c5,$c1,$c1).
% 51.92/52.13  9557 [hyper,500,116] {-} circle($c1,$c6,$c5,$c5).
% 51.92/52.13  9559 [hyper,500,25,268] {-} cong($c1,$c5,$c1,$c5).
% 51.92/52.13  9560 [hyper,500,25,268] {-} cong($c1,$c6,$c1,$c6).
% 51.92/52.13  10209 [hyper,6707,40] {-} eqangle($c6,$c5,A,B,$c6,$c5,A,B).
% 51.92/52.13  10481 [hyper,8448,54,267] {-} perp($c5,$c6,$c6,$c6).
% 51.92/52.13  10609 [hyper,8573,5] {-} para($c5,$c4,$c4,$c5).
% 51.92/52.13  10618 [hyper,8712,9,326] {-} para($c5,$c4,$c5,$c4).
% 51.92/52.13  11211 [hyper,9085,68,2678] {-} midp($c2,$c7,$c7).
% 51.92/52.13  11228 [hyper,11211,129,325] {-} midp($c2,$c6,$c6).
% 51.92/52.13  11439 [hyper,11228,129,6707] {-} midp($c2,$c5,$c5).
% 51.92/52.13  11523 [hyper,11228,69] {-} cong($c2,$c6,$c2,$c6).
% 51.92/52.13  11531 [hyper,11228,45,269] {-} para($c1,$c2,$c5,$c6).
% 51.92/52.13  12108 [hyper,9557,54,457] {-} perp($c6,$c5,$c5,$c5).
% 51.92/52.13  12114 [hyper,9559,117,268] {-} cyclic($c5,$c6,$c6,$c5).
% 51.92/52.13  12117 [hyper,9559,68,2994] {-} midp($c1,$c5,$c5).
% 51.92/52.13  12273 [hyper,9560,68,1372] {-} midp($c1,$c6,$c6).
% 51.92/52.13  13617 [hyper,10618,129,12117] {-} midp($c1,$c4,$c4).
% 51.92/52.13  13754 [hyper,13617,124] {-} para($c1,$c1,$c4,$c4).
% 51.92/52.13  13876 [hyper,13617,64,12273] {-} para($c6,$c4,$c6,$c4).
% 51.92/52.13  15594 [hyper,11523,57,9085] {-} perp($c2,$c2,$c7,$c6).
% 51.92/52.13  16347 [hyper,11531,46,12117,6447] {-} midp($c2,$c5,$c6).
% 51.92/52.13  16419 [hyper,16347,65,501,257] {-} midp($c2,$c6,$c5).
% 51.92/52.13  16420 [hyper,16347,53,10481] {-} cong($c5,$c2,$c6,$c2).
% 51.92/52.13  17939 [hyper,12108,53,16419] {-} cong($c6,$c2,$c5,$c2).
% 51.92/52.13  23222 [hyper,13754,6,9547] {-} para($c5,$c5,$c4,$c4).
% 51.92/52.13  27592 [hyper,15594,9,326] {-} para($c2,$c2,$c5,$c4).
% 51.92/52.13  30523 [hyper,17939,25,16420] {-} cong($c5,$c2,$c5,$c2).
% 51.92/52.13  42288 [hyper,27592,46,11439,3099] {-} midp($c2,$c5,$c4).
% 51.92/52.13  42442 [hyper,42288,65,10609,23222] {-} midp($c2,$c4,$c5).
% 51.92/52.13  42697 [hyper,42442,64,16347] {-} para($c5,$c4,$c6,$c5).
% 51.92/52.13  49827 [hyper,10209,123,12114,8447] {-} cong($c5,$c6,$c5,$c6).
% 51.92/52.13  60714 [hyper,49827,68,2280] {-} midp($c5,$c6,$c6).
% 51.92/52.13  60722 [hyper,60714,129,13876] {-} midp($c5,$c4,$c4).
% 51.92/52.13  60928 [hyper,60714,46,42697,2891] {-} midp($c4,$c6,$c5).
% 51.92/52.13  61113 [hyper,60722,69] {-} cong($c5,$c4,$c5,$c4).
% 51.92/52.13  67928 [hyper,60928,45,269] {-} para($c4,$c1,$c5,$c5).
% 51.92/52.13  186581 [hyper,61113,57,30523] {-} perp($c5,$c5,$c4,$c2).
% 51.92/52.13  200444 [hyper,186581,10,67928] {-} perp($c4,$c1,$c4,$c2).
% 51.92/52.13  200445 [binary,200444.1,113.1] {-} $F.
% 51.92/52.13  
% 51.92/52.13  % SZS output end Refutation
% 51.92/52.13  ------------ end of proof -------------
% 51.92/52.13  
% 51.92/52.13  
% 51.92/52.13  Search stopped by max_proofs option.
% 51.92/52.13  
% 51.92/52.13  
% 51.92/52.13  Search stopped by max_proofs option.
% 51.92/52.13  
% 51.92/52.13  ============ end of search ============
% 51.92/52.13  
% 51.92/52.13  That finishes the proof of the theorem.
% 51.92/52.13  
% 51.92/52.13  Process 29380 finished Sat Jun 18 01:53:51 2022
%------------------------------------------------------------------------------