TSTP Solution File: GEO590+1 by SOS---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SOS---2.0
% Problem  : GEO590+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : sos-script %s

% Computer : n026.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 06:21:02 EDT 2022

% Result   : Theorem 30.65s 30.86s
% Output   : Refutation 30.65s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : GEO590+1 : TPTP v8.1.0. Released v7.5.0.
% 0.11/0.13  % Command  : sos-script %s
% 0.13/0.34  % Computer : n026.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 : Fri Jun 17 17:05:24 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.13/0.37  ----- Otter 3.2, August 2001 -----
% 0.13/0.37  The process was started by sandbox2 on n026.cluster.edu,
% 0.13/0.37  Fri Jun 17 17:05:24 2022
% 0.13/0.37  The command was "./sos".  The process ID is 8753.
% 0.13/0.37  
% 0.13/0.37  set(prolog_style_variables).
% 0.13/0.37  set(auto).
% 0.13/0.37     dependent: set(auto1).
% 0.13/0.37     dependent: set(process_input).
% 0.13/0.37     dependent: clear(print_kept).
% 0.13/0.37     dependent: clear(print_new_demod).
% 0.13/0.37     dependent: clear(print_back_demod).
% 0.13/0.37     dependent: clear(print_back_sub).
% 0.13/0.37     dependent: set(control_memory).
% 0.13/0.37     dependent: assign(max_mem, 12000).
% 0.13/0.37     dependent: assign(pick_given_ratio, 4).
% 0.13/0.37     dependent: assign(stats_level, 1).
% 0.13/0.37     dependent: assign(pick_semantic_ratio, 3).
% 0.13/0.37     dependent: assign(sos_limit, 5000).
% 0.13/0.37     dependent: assign(max_weight, 60).
% 0.13/0.37  clear(print_given).
% 0.13/0.37  
% 0.13/0.37  formula_list(usable).
% 0.13/0.37  
% 0.13/0.37  SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=5.
% 0.13/0.37  
% 0.13/0.37  This ia a non-Horn set with equality.  The strategy will be
% 0.13/0.37  Knuth-Bendix, ordered hyper_res, ur_res, factoring, and
% 0.13/0.37  unit deletion, with positive clauses in sos and nonpositive
% 0.13/0.37  clauses in usable.
% 0.13/0.37  
% 0.13/0.37     dependent: set(knuth_bendix).
% 0.13/0.37     dependent: set(para_from).
% 0.13/0.37     dependent: set(para_into).
% 0.13/0.37     dependent: clear(para_from_right).
% 0.13/0.37     dependent: clear(para_into_right).
% 0.13/0.37     dependent: set(para_from_vars).
% 0.13/0.37     dependent: set(eq_units_both_ways).
% 0.13/0.37     dependent: set(dynamic_demod_all).
% 0.13/0.37     dependent: set(dynamic_demod).
% 0.13/0.37     dependent: set(order_eq).
% 0.13/0.37     dependent: set(back_demod).
% 0.13/0.37     dependent: set(lrpo).
% 0.13/0.37     dependent: set(hyper_res).
% 0.13/0.37     dependent: set(unit_deletion).
% 0.13/0.37     dependent: set(factor).
% 0.13/0.37  
% 0.13/0.37  ------------> process usable:
% 0.13/0.37    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).
% 0.13/0.37  
% 0.13/0.37  ------------> process sos:
% 0.13/0.37    Following clause subsumed by 165 during input processing: 0 [copy,165,flip.1] {-} A=A.
% 0.13/0.37  165 back subsumes 146.
% 0.13/0.37  165 back subsumes 145.
% 0.13/0.37  165 back subsumes 144.
% 0.13/0.37  165 back subsumes 143.
% 0.13/0.37  
% 0.13/0.37  ======= end of input processing =======
% 0.19/0.44  
% 0.19/0.44  
% 0.19/0.44  Failed to model usable list: disabling FINDER
% 0.19/0.44  
% 0.19/0.44  
% 0.19/0.44  
% 0.19/0.44  -------------- Softie stats --------------
% 0.19/0.44  
% 0.19/0.44  UPDATE_STOP: 300
% 0.19/0.44  SFINDER_TIME_LIMIT: 2
% 0.19/0.44  SHORT_CLAUSE_CUTOFF: 4
% 0.19/0.44  number of clauses in intial UL: 154
% 0.19/0.44  number of clauses initially in problem: 161
% 0.19/0.44  percentage of clauses intially in UL: 95
% 0.19/0.44  percentage of distinct symbols occuring in initial UL: 92
% 0.19/0.44  percent of all initial clauses that are short: 100
% 0.19/0.44  absolute distinct symbol count: 38
% 0.19/0.44     distinct predicate count: 12
% 0.19/0.44     distinct function count: 20
% 0.19/0.44     distinct constant count: 6
% 0.19/0.44  
% 0.19/0.44  ---------- no more Softie stats ----------
% 0.19/0.44  
% 0.19/0.44  
% 0.19/0.44  
% 0.19/0.44  =========== start of search ===========
% 5.64/5.91  
% 5.64/5.91  
% 5.64/5.91  Changing weight limit from 60 to 57.
% 5.64/5.91  
% 5.64/5.91  Resetting weight limit to 57 after 245 givens.
% 5.64/5.91  
% 6.73/6.99  
% 6.73/6.99  
% 6.73/6.99  Changing weight limit from 57 to 56.
% 6.73/6.99  
% 6.73/6.99  Resetting weight limit to 56 after 250 givens.
% 6.73/6.99  
% 9.42/9.67  
% 9.42/9.67  
% 9.42/9.67  Changing weight limit from 56 to 55.
% 9.42/9.67  
% 9.42/9.67  Resetting weight limit to 55 after 270 givens.
% 9.42/9.67  
% 10.92/11.19  
% 10.92/11.19  
% 10.92/11.19  Changing weight limit from 55 to 54.
% 10.92/11.19  
% 10.92/11.19  Resetting weight limit to 54 after 280 givens.
% 10.92/11.19  
% 12.51/12.69  
% 12.51/12.69  
% 12.51/12.69  Changing weight limit from 54 to 51.
% 12.51/12.69  
% 12.51/12.69  Resetting weight limit to 51 after 285 givens.
% 12.51/12.69  
% 15.12/15.36  
% 15.12/15.36  
% 15.12/15.36  Changing weight limit from 51 to 50.
% 15.12/15.36  
% 15.12/15.36  Resetting weight limit to 50 after 295 givens.
% 15.12/15.36  
% 16.85/17.05  
% 16.85/17.05  
% 16.85/17.05  Changing weight limit from 50 to 49.
% 16.85/17.05  
% 16.85/17.05  Modelling stopped after 300 given clauses and 0.00 seconds
% 16.85/17.05  
% 16.85/17.05  
% 16.85/17.05  Resetting weight limit to 49 after 305 givens.
% 16.85/17.05  
% 17.55/17.81  
% 17.55/17.81  
% 17.55/17.81  Changing weight limit from 49 to 45.
% 17.55/17.81  
% 17.55/17.81  Resetting weight limit to 45 after 310 givens.
% 17.55/17.81  
% 18.10/18.33  
% 18.10/18.33  
% 18.10/18.33  Changing weight limit from 45 to 36.
% 18.10/18.33  
% 18.10/18.33  Resetting weight limit to 36 after 315 givens.
% 18.10/18.33  
% 18.72/18.92  
% 18.72/18.92  
% 18.72/18.92  Changing weight limit from 36 to 31.
% 18.72/18.92  
% 18.72/18.92  Resetting weight limit to 31 after 320 givens.
% 18.72/18.92  
% 19.03/19.27  
% 19.03/19.27  
% 19.03/19.27  Changing weight limit from 31 to 30.
% 19.03/19.27  
% 19.03/19.27  Resetting weight limit to 30 after 330 givens.
% 19.03/19.27  
% 20.63/20.86  
% 20.63/20.86  
% 20.63/20.86  Changing weight limit from 30 to 29.
% 20.63/20.86  
% 20.63/20.86  Resetting weight limit to 29 after 390 givens.
% 20.63/20.86  
% 21.23/21.42  
% 21.23/21.42  
% 21.23/21.42  Changing weight limit from 29 to 17.
% 21.23/21.42  
% 21.23/21.42  Resetting weight limit to 17 after 415 givens.
% 21.23/21.42  
% 21.23/21.43  
% 21.23/21.43  
% 21.23/21.43  Changing weight limit from 17 to 16.
% 21.23/21.43  
% 21.23/21.43  Resetting weight limit to 16 after 420 givens.
% 21.23/21.43  
% 21.30/21.50  
% 21.30/21.50  
% 21.30/21.50  Changing weight limit from 16 to 10.
% 21.30/21.50  
% 21.30/21.50  Resetting weight limit to 10 after 425 givens.
% 21.30/21.50  
% 22.83/23.04  
% 22.83/23.04  
% 22.83/23.04  Changing weight limit from 10 to 9.
% 22.83/23.04  
% 22.83/23.04  Resetting weight limit to 9 after 520 givens.
% 22.83/23.04  
% 30.65/30.86  
% 30.65/30.86  -- HEY sandbox2, WE HAVE A PROOF!! -- 
% 30.65/30.86  
% 30.65/30.86  ----> UNIT CONFLICT at  30.16 sec ----> 72890 [binary,72889.1,113.1] {-} $F.
% 30.65/30.86  
% 30.65/30.86  Length of proof is 101.  Level of proof is 17.
% 30.65/30.86  
% 30.65/30.86  ---------------- PROOF ----------------
% 30.65/30.86  % SZS status Theorem
% 30.65/30.86  % SZS output start Refutation
% 30.65/30.86  
% 30.65/30.86  1 [] {+} -coll(A,B,C)|coll(A,C,B).
% 30.65/30.86  2 [] {+} -coll(A,B,C)|coll(B,A,C).
% 30.65/30.86  3 [] {+} -coll(A,B,C)| -coll(A,B,D)|coll(C,D,A).
% 30.65/30.86  7 [] {+} -perp(A,B,C,D)|perp(A,B,D,C).
% 30.65/30.86  8 [] {+} -perp(A,B,C,D)|perp(C,D,A,B).
% 30.65/30.86  9 [] {+} -perp(A,B,C,D)| -perp(C,D,E,F)|para(A,B,E,F).
% 30.65/30.86  10 [] {+} -para(A,B,C,D)| -perp(C,D,E,F)|perp(A,B,E,F).
% 30.65/30.86  11 [] {+} -midp(A,B,C)|midp(A,C,B).
% 30.65/30.86  12 [] {+} -cong(A,B,A,C)| -cong(A,B,A,D)|circle(A,B,C,D).
% 30.65/30.86  13 [] {+} -cong(A,B,A,C)| -cong(A,B,A,D)| -cong(A,B,A,E)|cyclic(B,C,D,E).
% 30.65/30.86  14 [] {+} -cyclic(A,B,C,D)|cyclic(A,B,D,C).
% 30.65/30.86  15 [] {+} -cyclic(A,B,C,D)|cyclic(A,C,B,D).
% 30.65/30.86  17 [] {+} -cyclic(A,B,C,D)| -cyclic(A,B,C,E)|cyclic(B,C,D,E).
% 30.65/30.86  23 [] {+} -cong(A,B,C,D)|cong(A,B,D,C).
% 30.65/30.86  24 [] {+} -cong(A,B,C,D)|cong(C,D,A,B).
% 30.65/30.86  25 [] {+} -cong(A,B,C,D)| -cong(C,D,E,F)|cong(A,B,E,F).
% 30.65/30.86  40 [] {+} -para(A,B,C,D)|eqangle(A,B,E,F,C,D,E,F).
% 30.65/30.86  43 [] {+} -eqangle(A,B,A,C,D,B,D,C)| -coll(A,D,C)|cyclic(B,C,A,D).
% 30.65/30.86  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).
% 30.65/30.86  45 [] {+} -midp(A,B,C)| -midp(D,B,E)|para(A,D,C,E).
% 30.65/30.86  46 [] {+} -midp(A,B,C)| -para(A,D,C,E)| -coll(D,B,E)|midp(D,B,E).
% 30.65/30.86  53 [] {+} -perp(A,B,B,C)| -midp(D,A,C)|cong(A,D,B,D).
% 30.65/30.86  54 [] {+} -circle(A,B,C,D)| -coll(A,B,D)|perp(B,C,C,D).
% 30.65/30.86  57 [] {+} -cong(A,B,C,B)| -cong(A,D,C,D)|perp(A,C,B,D).
% 30.65/30.86  58 [] {+} -cong(A,B,C,B)| -cong(A,D,C,D)| -cyclic(A,C,B,D)|perp(B,A,A,D).
% 30.65/30.86  64 [] {+} -midp(A,B,C)| -midp(A,D,E)|para(B,D,C,E).
% 30.65/30.86  65 [] {+} -midp(A,B,C)| -para(B,D,C,E)| -para(B,E,C,D)|midp(A,D,E).
% 30.65/30.86  68 [] {+} -cong(A,B,A,C)| -coll(A,B,C)|midp(A,B,C).
% 30.65/30.86  69 [] {+} -midp(A,B,C)|cong(A,B,A,C).
% 30.65/30.86  70 [] {+} -midp(A,B,C)|coll(A,B,C).
% 30.65/30.86  113 [] {+} -cong($c2,$c4,$c2,$c1).
% 30.65/30.86  114 [factor,3.1.2] {+} -coll(A,B,C)|coll(C,C,A).
% 30.65/30.86  116 [factor,12.1.2] {+} -cong(A,B,A,C)|circle(A,B,C,C).
% 30.65/30.86  117 [factor,13.1.2] {+} -cong(A,B,A,C)| -cong(A,B,A,D)|cyclic(B,C,C,D).
% 30.65/30.86  120 [factor,17.1.2] {+} -cyclic(A,B,C,D)|cyclic(B,C,D,D).
% 30.65/30.86  122 [factor,44.1.3] {+} -cyclic(A,B,C,D)| -cyclic(A,B,C,E)| -eqangle(C,A,C,B,D,D,D,E)|cong(A,B,D,E).
% 30.65/30.86  125 [factor,57.1.2] {+} -cong(A,B,C,B)|perp(A,C,B,B).
% 30.65/30.86  128 [factor,64.1.2] {+} -midp(A,B,C)|para(B,B,C,C).
% 30.65/30.86  129 [factor,65.2.3] {+} -midp(A,B,C)| -para(B,D,C,D)|midp(A,D,D).
% 30.65/30.86  154 [factor,117.1.2] {+} -cong(A,B,A,C)|cyclic(B,C,C,C).
% 30.65/30.86  159 [] {-} perp($c4,$c6,$c4,$c5).
% 30.65/30.86  160 [] {-} midp($c3,$c5,$c6).
% 30.65/30.86  161 [] {-} perp($c6,$c5,$c6,$c2).
% 30.65/30.86  162 [] {-} perp($c4,$c3,$c4,$c2).
% 30.65/30.86  163 [] {-} coll($c1,$c6,$c2).
% 30.65/30.86  164 [] {-} coll($c1,$c5,$c4).
% 30.65/30.86  170 [hyper,159,8] {-} perp($c4,$c5,$c4,$c6).
% 30.65/30.86  171 [hyper,159,7] {-} perp($c4,$c6,$c5,$c4).
% 30.65/30.86  194 [hyper,160,70] {-} coll($c3,$c5,$c6).
% 30.65/30.86  195 [hyper,160,69] {-} cong($c3,$c5,$c3,$c6).
% 30.65/30.86  196 [hyper,160,11] {-} midp($c3,$c6,$c5).
% 30.65/30.86  209 [hyper,163,114] {-} coll($c2,$c2,$c1).
% 30.65/30.86  210 [hyper,163,2] {-} coll($c6,$c1,$c2).
% 30.65/30.86  211 [hyper,163,1] {-} coll($c1,$c2,$c6).
% 30.65/30.86  224 [hyper,164,114] {-} coll($c4,$c4,$c1).
% 30.65/30.86  225 [hyper,164,2] {-} coll($c5,$c1,$c4).
% 30.65/30.86  243 [hyper,161,8] {-} perp($c6,$c2,$c6,$c5).
% 30.65/30.86  261 [hyper,194,114] {-} coll($c6,$c6,$c3).
% 30.65/30.86  263 [hyper,194,1] {-} coll($c3,$c6,$c5).
% 30.65/30.86  290 [hyper,196,69] {-} cong($c3,$c6,$c3,$c5).
% 30.65/30.86  305 [hyper,209,114] {-} coll($c1,$c1,$c2).
% 30.65/30.86  337 [hyper,162,8] {-} perp($c4,$c2,$c4,$c3).
% 30.65/30.86  355 [hyper,211,114] {-} coll($c6,$c6,$c1).
% 30.65/30.86  369 [hyper,224,114] {-} coll($c1,$c1,$c4).
% 30.65/30.86  383 [hyper,225,114] {-} coll($c4,$c4,$c5).
% 30.65/30.86  445 [hyper,261,114] {-} coll($c3,$c3,$c6).
% 30.65/30.86  446 [hyper,261,1] {-} coll($c6,$c3,$c6).
% 30.65/30.86  473 [hyper,263,114] {-} coll($c5,$c5,$c3).
% 30.65/30.86  575 [hyper,355,1] {-} coll($c6,$c1,$c6).
% 30.65/30.86  635 [hyper,369,3,305] {-} coll($c2,$c4,$c1).
% 30.65/30.86  664 [hyper,383,114] {-} coll($c5,$c5,$c4).
% 30.65/30.86  749 [hyper,445,1] {-} coll($c3,$c6,$c3).
% 30.65/30.86  766 [hyper,170,9,159] {-} para($c4,$c6,$c4,$c6).
% 30.65/30.86  768 [hyper,170,7] {-} perp($c4,$c5,$c6,$c4).
% 30.65/30.86  786 [hyper,446,2] {-} coll($c3,$c6,$c6).
% 30.65/30.86  831 [hyper,473,1] {-} coll($c5,$c3,$c5).
% 30.65/30.86  845 [hyper,171,8] {-} perp($c5,$c4,$c4,$c6).
% 30.65/30.86  1190 [hyper,575,3,210] {-} coll($c2,$c6,$c6).
% 30.65/30.86  1475 [hyper,664,3,473] {-} coll($c3,$c4,$c5).
% 30.65/30.86  1635 [hyper,749,3,263] {-} coll($c3,$c5,$c3).
% 30.65/30.86  1636 [hyper,749,2] {-} coll($c6,$c3,$c3).
% 30.65/30.86  2007 [hyper,831,2] {-} coll($c3,$c5,$c5).
% 30.65/30.86  2605 [hyper,1475,1] {-} coll($c3,$c5,$c4).
% 30.65/30.86  3492 [hyper,195,116] {-} circle($c3,$c5,$c6,$c6).
% 30.65/30.86  3494 [hyper,195,23] {-} cong($c3,$c5,$c6,$c3).
% 30.65/30.86  4031 [hyper,2605,3,1635] {-} coll($c4,$c3,$c3).
% 30.65/30.86  5970 [hyper,243,7] {-} perp($c6,$c2,$c5,$c6).
% 30.65/30.86  6244 [hyper,290,25,195] {-} cong($c3,$c5,$c3,$c5).
% 30.65/30.86  6245 [hyper,290,25,195] {-} cong($c3,$c6,$c3,$c6).
% 30.65/30.86  6246 [hyper,290,23] {-} cong($c3,$c6,$c5,$c3).
% 30.65/30.86  6458 [hyper,337,9,162] {-} para($c4,$c3,$c4,$c3).
% 30.65/30.86  6573 [hyper,766,40] {-} eqangle($c4,$c6,A,B,$c4,$c6,A,B).
% 30.65/30.86  6686 [hyper,768,8] {-} perp($c6,$c4,$c4,$c5).
% 30.65/30.86  6872 [hyper,845,53,160] {-} cong($c5,$c3,$c4,$c3).
% 30.65/30.86  6875 [hyper,845,9,171] {-} para($c5,$c4,$c5,$c4).
% 30.65/30.86  7012 [hyper,3492,54,194] {-} perp($c5,$c6,$c6,$c6).
% 30.65/30.86  7030 [hyper,3494,24] {-} cong($c6,$c3,$c3,$c5).
% 30.65/30.86  7770 [hyper,6244,68,2007] {-} midp($c3,$c5,$c5).
% 30.65/30.86  7854 [hyper,6245,68,786] {-} midp($c3,$c6,$c6).
% 30.65/30.86  8797 [hyper,6686,7] {-} perp($c6,$c4,$c5,$c4).
% 30.65/30.86  8925 [hyper,6872,125] {-} perp($c5,$c4,$c3,$c3).
% 30.65/30.86  8926 [hyper,6872,25,6246] {-} cong($c3,$c6,$c4,$c3).
% 30.65/30.86  8937 [hyper,6875,129,7770] {-} midp($c3,$c4,$c4).
% 30.65/30.86  9064 [hyper,8937,129,6458] {-} midp($c3,$c3,$c3).
% 30.65/30.86  9065 [hyper,8937,128] {-} para($c4,$c4,$c4,$c4).
% 30.65/30.86  9108 [hyper,8937,69] {-} cong($c3,$c4,$c3,$c4).
% 30.65/30.86  9192 [hyper,9064,64,7854] {-} para($c6,$c3,$c6,$c3).
% 30.65/30.86  9196 [hyper,9064,64,8937] {-} para($c3,$c4,$c3,$c4).
% 30.65/30.86  9198 [hyper,9064,64,7854] {-} para($c3,$c6,$c3,$c6).
% 30.65/30.86  9407 [hyper,7012,9,5970] {-} para($c6,$c2,$c6,$c6).
% 30.65/30.86  9426 [hyper,7030,25,3494] {-} cong($c6,$c3,$c6,$c3).
% 30.65/30.86  12059 [hyper,8925,9,8797] {-} para($c6,$c4,$c3,$c3).
% 30.65/30.86  12074 [hyper,8926,23] {-} cong($c3,$c6,$c3,$c4).
% 30.65/30.86  12157 [hyper,9065,40] {-} eqangle($c4,$c4,A,B,$c4,$c4,A,B).
% 30.65/30.86  12243 [hyper,9108,125] {-} perp($c3,$c3,$c4,$c4).
% 30.65/30.86  14624 [hyper,9426,68,1636] {-} midp($c6,$c3,$c3).
% 30.65/30.86  14631 [hyper,14624,129,9198] {-} midp($c6,$c6,$c6).
% 30.65/30.86  14994 [hyper,14631,46,9407,1190] {-} midp($c2,$c6,$c6).
% 30.65/30.86  16175 [hyper,14994,129,9192] {-} midp($c2,$c3,$c3).
% 30.65/30.86  24126 [hyper,12059,46,14624,4031] {-} midp($c4,$c3,$c3).
% 30.65/30.86  24145 [hyper,24126,129,9196] {-} midp($c4,$c4,$c4).
% 30.65/30.86  24335 [hyper,24126,45,16175] {-} para($c4,$c2,$c3,$c3).
% 30.65/30.86  25596 [hyper,24145,69] {-} cong($c4,$c4,$c4,$c4).
% 30.65/30.86  34360 [hyper,12074,154] {-} cyclic($c6,$c4,$c4,$c4).
% 30.65/30.86  35895 [hyper,6573,43,224] {-} cyclic($c6,$c1,$c4,$c4).
% 30.65/30.86  39798 [hyper,24335,10,12243] {-} perp($c4,$c2,$c4,$c4).
% 30.65/30.86  48738 [hyper,35895,15] {-} cyclic($c6,$c4,$c1,$c4).
% 30.65/30.86  62471 [hyper,12157,43,224] {-} cyclic($c4,$c1,$c4,$c4).
% 30.65/30.86  62510 [hyper,48738,14] {-} cyclic($c6,$c4,$c4,$c1).
% 30.65/30.86  62614 [hyper,62471,15] {-} cyclic($c4,$c4,$c1,$c4).
% 30.65/30.86  62623 [hyper,62510,120] {-} cyclic($c4,$c4,$c1,$c1).
% 30.65/30.86  62630 [hyper,62510,17,34360] {-} cyclic($c4,$c4,$c4,$c1).
% 30.65/30.86  62789 [hyper,62623,17,62614] {-} cyclic($c4,$c1,$c4,$c1).
% 30.65/30.86  63215 [hyper,62789,122,62471,12157] {-} cong($c4,$c1,$c4,$c1).
% 30.65/30.86  63949 [hyper,63215,58,25596,62630] {-} perp($c4,$c4,$c4,$c1).
% 30.65/30.86  65543 [hyper,63949,9,39798] {-} para($c4,$c2,$c4,$c1).
% 30.65/30.86  72593 [hyper,65543,46,24145,635] {-} midp($c2,$c4,$c1).
% 30.65/30.86  72889 [hyper,72593,69] {-} cong($c2,$c4,$c2,$c1).
% 30.65/30.86  72890 [binary,72889.1,113.1] {-} $F.
% 30.65/30.86  
% 30.65/30.86  % SZS output end Refutation
% 30.65/30.86  ------------ end of proof -------------
% 30.65/30.86  
% 30.65/30.86  
% 30.65/30.86  Search stopped by max_proofs option.
% 30.65/30.86  
% 30.65/30.86  
% 30.65/30.86  Search stopped by max_proofs option.
% 30.65/30.86  
% 30.65/30.86  ============ end of search ============
% 30.65/30.86  
% 30.65/30.86  That finishes the proof of the theorem.
% 30.65/30.86  
% 30.65/30.86  Process 8753 finished Fri Jun 17 17:05:54 2022
%------------------------------------------------------------------------------