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SOS---2.0.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : SOS---2.0
% Problem  : GEO551+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : sos-script %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 06:20:51 EDT 2022

% Result   : Theorem 48.72s 48.92s
% Output   : Refutation 48.72s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : GEO551+1 : TPTP v8.1.0. Released v7.5.0.
% 0.07/0.13  % Command  : sos-script %s
% 0.13/0.34  % Computer : n018.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 10:43:18 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.13/0.38  ----- Otter 3.2, August 2001 -----
% 0.13/0.38  The process was started by sandbox2 on n018.cluster.edu,
% 0.13/0.38  Sat Jun 18 10:43:18 2022
% 0.13/0.38  The command was "./sos".  The process ID is 25998.
% 0.13/0.38  
% 0.13/0.38  set(prolog_style_variables).
% 0.13/0.38  set(auto).
% 0.13/0.38     dependent: set(auto1).
% 0.13/0.38     dependent: set(process_input).
% 0.13/0.38     dependent: clear(print_kept).
% 0.13/0.38     dependent: clear(print_new_demod).
% 0.13/0.38     dependent: clear(print_back_demod).
% 0.13/0.38     dependent: clear(print_back_sub).
% 0.13/0.38     dependent: set(control_memory).
% 0.13/0.38     dependent: assign(max_mem, 12000).
% 0.13/0.38     dependent: assign(pick_given_ratio, 4).
% 0.13/0.38     dependent: assign(stats_level, 1).
% 0.13/0.38     dependent: assign(pick_semantic_ratio, 3).
% 0.13/0.38     dependent: assign(sos_limit, 5000).
% 0.13/0.38     dependent: assign(max_weight, 60).
% 0.13/0.38  clear(print_given).
% 0.13/0.38  
% 0.13/0.38  formula_list(usable).
% 0.13/0.38  
% 0.13/0.38  SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=5.
% 0.13/0.38  
% 0.13/0.38  This ia a non-Horn set with equality.  The strategy will be
% 0.13/0.38  Knuth-Bendix, ordered hyper_res, ur_res, factoring, and
% 0.13/0.38  unit deletion, with positive clauses in sos and nonpositive
% 0.13/0.38  clauses in usable.
% 0.13/0.38  
% 0.13/0.38     dependent: set(knuth_bendix).
% 0.13/0.38     dependent: set(para_from).
% 0.13/0.38     dependent: set(para_into).
% 0.13/0.38     dependent: clear(para_from_right).
% 0.13/0.38     dependent: clear(para_into_right).
% 0.13/0.38     dependent: set(para_from_vars).
% 0.13/0.38     dependent: set(eq_units_both_ways).
% 0.13/0.38     dependent: set(dynamic_demod_all).
% 0.13/0.38     dependent: set(dynamic_demod).
% 0.13/0.38     dependent: set(order_eq).
% 0.13/0.38     dependent: set(back_demod).
% 0.13/0.38     dependent: set(lrpo).
% 0.13/0.38     dependent: set(hyper_res).
% 0.13/0.38     dependent: set(unit_deletion).
% 0.13/0.38     dependent: set(factor).
% 0.13/0.38  
% 0.13/0.38  ------------> process usable:
% 0.13/0.38    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).
% 0.13/0.38  
% 0.13/0.38  ------------> process sos:
% 0.13/0.38    Following clause subsumed by 164 during input processing: 0 [copy,164,flip.1] {-} A=A.
% 0.13/0.38  164 back subsumes 146.
% 0.13/0.38  164 back subsumes 145.
% 0.13/0.38  164 back subsumes 144.
% 0.13/0.38  164 back subsumes 143.
% 0.13/0.38  
% 0.13/0.38  ======= end of input processing =======
% 0.21/0.44  
% 0.21/0.44  
% 0.21/0.44  Failed to model usable list: disabling FINDER
% 0.21/0.44  
% 0.21/0.44  
% 0.21/0.44  
% 0.21/0.44  -------------- Softie stats --------------
% 0.21/0.44  
% 0.21/0.44  UPDATE_STOP: 300
% 0.21/0.44  SFINDER_TIME_LIMIT: 2
% 0.21/0.44  SHORT_CLAUSE_CUTOFF: 4
% 0.21/0.44  number of clauses in intial UL: 154
% 0.21/0.44  number of clauses initially in problem: 160
% 0.21/0.44  percentage of clauses intially in UL: 96
% 0.21/0.44  percentage of distinct symbols occuring in initial UL: 92
% 0.21/0.44  percent of all initial clauses that are short: 100
% 0.21/0.44  absolute distinct symbol count: 39
% 0.21/0.44     distinct predicate count: 12
% 0.21/0.44     distinct function count: 20
% 0.21/0.44     distinct constant count: 7
% 0.21/0.44  
% 0.21/0.44  ---------- no more Softie stats ----------
% 0.21/0.44  
% 0.21/0.44  
% 0.21/0.44  
% 0.21/0.44  =========== start of search ===========
% 6.36/6.55  
% 6.36/6.55  
% 6.36/6.55  Changing weight limit from 60 to 57.
% 6.36/6.55  
% 6.36/6.55  Resetting weight limit to 57 after 230 givens.
% 6.36/6.55  
% 7.02/7.21  
% 7.02/7.21  
% 7.02/7.21  Changing weight limit from 57 to 56.
% 7.02/7.21  
% 7.02/7.21  Resetting weight limit to 56 after 235 givens.
% 7.02/7.21  
% 9.28/9.48  
% 9.28/9.48  
% 9.28/9.48  Changing weight limit from 56 to 55.
% 9.28/9.48  
% 9.28/9.48  Resetting weight limit to 55 after 250 givens.
% 9.28/9.48  
% 11.48/11.72  
% 11.48/11.72  
% 11.48/11.72  Changing weight limit from 55 to 52.
% 11.48/11.72  
% 11.48/11.72  Resetting weight limit to 52 after 270 givens.
% 11.48/11.72  
% 13.12/13.30  
% 13.12/13.30  
% 13.12/13.30  Changing weight limit from 52 to 51.
% 13.12/13.30  
% 13.12/13.30  Resetting weight limit to 51 after 280 givens.
% 13.12/13.30  
% 16.19/16.40  
% 16.19/16.40  
% 16.19/16.40  Changing weight limit from 51 to 50.
% 16.19/16.40  
% 16.19/16.40  Modelling stopped after 300 given clauses and 0.00 seconds
% 16.19/16.40  
% 16.19/16.40  
% 16.19/16.40  Resetting weight limit to 50 after 300 givens.
% 16.19/16.40  
% 18.48/18.66  
% 18.48/18.66  
% 18.48/18.66  Changing weight limit from 50 to 49.
% 18.48/18.66  
% 18.48/18.66  Resetting weight limit to 49 after 315 givens.
% 18.48/18.66  
% 19.27/19.45  
% 19.27/19.45  
% 19.27/19.45  Changing weight limit from 49 to 47.
% 19.27/19.45  
% 19.27/19.45  Resetting weight limit to 47 after 325 givens.
% 19.27/19.45  
% 19.59/19.79  
% 19.59/19.79  
% 19.59/19.79  Changing weight limit from 47 to 46.
% 19.59/19.79  
% 19.59/19.79  Resetting weight limit to 46 after 330 givens.
% 19.59/19.79  
% 20.08/20.31  
% 20.08/20.31  
% 20.08/20.31  Changing weight limit from 46 to 45.
% 20.08/20.31  
% 20.08/20.31  Resetting weight limit to 45 after 340 givens.
% 20.08/20.31  
% 20.59/20.80  
% 20.59/20.80  
% 20.59/20.80  Changing weight limit from 45 to 44.
% 20.59/20.80  
% 20.59/20.80  Resetting weight limit to 44 after 350 givens.
% 20.59/20.80  
% 20.66/20.91  
% 20.66/20.91  
% 20.66/20.91  Changing weight limit from 44 to 37.
% 20.66/20.91  
% 20.66/20.91  Resetting weight limit to 37 after 355 givens.
% 20.66/20.91  
% 20.99/21.18  
% 20.99/21.18  
% 20.99/21.18  Changing weight limit from 37 to 36.
% 20.99/21.18  
% 20.99/21.18  Resetting weight limit to 36 after 365 givens.
% 20.99/21.18  
% 21.51/21.70  
% 21.51/21.70  
% 21.51/21.70  Changing weight limit from 36 to 35.
% 21.51/21.70  
% 21.51/21.70  Resetting weight limit to 35 after 390 givens.
% 21.51/21.70  
% 21.76/21.97  
% 21.76/21.97  
% 21.76/21.97  Changing weight limit from 35 to 34.
% 21.76/21.97  
% 21.76/21.97  Resetting weight limit to 34 after 400 givens.
% 21.76/21.97  
% 22.09/22.28  
% 22.09/22.28  
% 22.09/22.28  Changing weight limit from 34 to 30.
% 22.09/22.28  
% 22.09/22.28  Resetting weight limit to 30 after 405 givens.
% 22.09/22.28  
% 25.32/25.51  
% 25.32/25.51  
% 25.32/25.51  Changing weight limit from 30 to 29.
% 25.32/25.51  
% 25.32/25.51  Resetting weight limit to 29 after 465 givens.
% 25.32/25.51  
% 26.07/26.28  
% 26.07/26.28  
% 26.07/26.28  Changing weight limit from 29 to 22.
% 26.07/26.28  
% 26.07/26.28  Resetting weight limit to 22 after 500 givens.
% 26.07/26.28  
% 26.16/26.33  
% 26.16/26.33  
% 26.16/26.33  Changing weight limit from 22 to 17.
% 26.16/26.33  
% 26.16/26.33  Resetting weight limit to 17 after 505 givens.
% 26.16/26.33  
% 26.21/26.44  
% 26.21/26.44  
% 26.21/26.44  Changing weight limit from 17 to 15.
% 26.21/26.44  
% 26.21/26.44  Resetting weight limit to 15 after 510 givens.
% 26.21/26.44  
% 26.29/26.50  
% 26.29/26.50  
% 26.29/26.50  Changing weight limit from 15 to 11.
% 26.29/26.50  
% 26.29/26.50  Resetting weight limit to 11 after 515 givens.
% 26.29/26.50  
% 26.39/26.57  
% 26.39/26.57  
% 26.39/26.57  Changing weight limit from 11 to 10.
% 26.39/26.57  
% 26.39/26.57  Resetting weight limit to 10 after 525 givens.
% 26.39/26.57  
% 28.31/28.54  
% 28.31/28.54  
% 28.31/28.54  Changing weight limit from 10 to 9.
% 28.31/28.54  
% 28.31/28.54  Resetting weight limit to 9 after 1015 givens.
% 28.31/28.54  
% 39.40/39.59  
% 39.40/39.59  
% 39.40/39.59  Changing weight limit from 9 to 8.
% 39.40/39.59  
% 39.40/39.59  Resetting weight limit to 8 after 4620 givens.
% 39.40/39.59  
% 48.72/48.92  
% 48.72/48.92  -- HEY sandbox2, WE HAVE A PROOF!! -- 
% 48.72/48.92  
% 48.72/48.92  ----> UNIT CONFLICT at  47.78 sec ----> 190712 [binary,190711.1,113.1] {-} $F.
% 48.72/48.92  
% 48.72/48.92  Length of proof is 197.  Level of proof is 19.
% 48.72/48.92  
% 48.72/48.92  ---------------- PROOF ----------------
% 48.72/48.92  % SZS status Theorem
% 48.72/48.92  % SZS output start Refutation
% 48.72/48.92  
% 48.72/48.92  1 [] {+} -coll(A,B,C)|coll(A,C,B).
% 48.72/48.92  2 [] {+} -coll(A,B,C)|coll(B,A,C).
% 48.72/48.92  3 [] {+} -coll(A,B,C)| -coll(A,B,D)|coll(C,D,A).
% 48.72/48.92  4 [] {+} -para(A,B,C,D)|para(A,B,D,C).
% 48.72/48.92  5 [] {+} -para(A,B,C,D)|para(C,D,A,B).
% 48.72/48.92  6 [] {+} -para(A,B,C,D)| -para(C,D,E,F)|para(A,B,E,F).
% 48.72/48.92  7 [] {+} -perp(A,B,C,D)|perp(A,B,D,C).
% 48.72/48.92  8 [] {+} -perp(A,B,C,D)|perp(C,D,A,B).
% 48.72/48.92  9 [] {+} -perp(A,B,C,D)| -perp(C,D,E,F)|para(A,B,E,F).
% 48.72/48.92  10 [] {+} -para(A,B,C,D)| -perp(C,D,E,F)|perp(A,B,E,F).
% 48.72/48.92  11 [] {+} -midp(A,B,C)|midp(A,C,B).
% 48.72/48.92  13 [] {+} -cong(A,B,A,C)| -cong(A,B,A,D)| -cong(A,B,A,E)|cyclic(B,C,D,E).
% 48.72/48.92  23 [] {+} -cong(A,B,C,D)|cong(A,B,D,C).
% 48.72/48.92  24 [] {+} -cong(A,B,C,D)|cong(C,D,A,B).
% 48.72/48.92  25 [] {+} -cong(A,B,C,D)| -cong(C,D,E,F)|cong(A,B,E,F).
% 48.72/48.92  40 [] {+} -para(A,B,C,D)|eqangle(A,B,E,F,C,D,E,F).
% 48.72/48.92  44 [] {+} -cyclic(A,B,C,D)| -cyclic(A,B,C,E)| -cyclic(A,B,C,F)| -eqangle(C,A,C,B,F,D,F,E)|cong(A,B,D,E).
% 48.72/48.92  45 [] {+} -midp(A,B,C)| -midp(D,B,E)|para(A,D,C,E).
% 48.72/48.92  46 [] {+} -midp(A,B,C)| -para(A,D,C,E)| -coll(D,B,E)|midp(D,B,E).
% 48.72/48.92  57 [] {+} -cong(A,B,C,B)| -cong(A,D,C,D)|perp(A,C,B,D).
% 48.72/48.92  64 [] {+} -midp(A,B,C)| -midp(A,D,E)|para(B,D,C,E).
% 48.72/48.92  65 [] {+} -midp(A,B,C)| -para(B,D,C,E)| -para(B,E,C,D)|midp(A,D,E).
% 48.72/48.92  68 [] {+} -cong(A,B,A,C)| -coll(A,B,C)|midp(A,B,C).
% 48.72/48.92  69 [] {+} -midp(A,B,C)|cong(A,B,A,C).
% 48.72/48.92  70 [] {+} -midp(A,B,C)|coll(A,B,C).
% 48.72/48.92  113 [] {+} -cyclic($c3,$c4,$c2,$c1).
% 48.72/48.92  114 [factor,3.1.2] {+} -coll(A,B,C)|coll(C,C,A).
% 48.72/48.92  117 [factor,13.1.2] {+} -cong(A,B,A,C)| -cong(A,B,A,D)|cyclic(B,C,C,D).
% 48.72/48.92  123 [factor,44.2.3] {+} -cyclic(A,B,C,D)| -cyclic(A,B,C,E)| -eqangle(C,A,C,B,E,D,E,E)|cong(A,B,D,E).
% 48.72/48.92  124 [factor,45.1.2] {+} -midp(A,B,C)|para(A,A,C,C).
% 48.72/48.92  128 [factor,64.1.2] {+} -midp(A,B,C)|para(B,B,C,C).
% 48.72/48.92  129 [factor,65.2.3] {+} -midp(A,B,C)| -para(B,D,C,D)|midp(A,D,D).
% 48.72/48.92  154 [factor,117.1.2] {+} -cong(A,B,A,C)|cyclic(B,C,C,C).
% 48.72/48.92  159 [] {-} perp($c4,$c7,$c6,$c5).
% 48.72/48.92  160 [] {-} coll($c4,$c6,$c5).
% 48.72/48.92  161 [] {-} midp($c3,$c7,$c6).
% 48.72/48.92  162 [] {-} midp($c2,$c5,$c6).
% 48.72/48.92  163 [] {-} midp($c1,$c7,$c5).
% 48.72/48.92  165 [hyper,159,8] {-} perp($c6,$c5,$c4,$c7).
% 48.72/48.92  183 [hyper,160,114] {-} coll($c5,$c5,$c4).
% 48.72/48.92  184 [hyper,160,2] {-} coll($c6,$c4,$c5).
% 48.72/48.92  185 [hyper,160,1] {-} coll($c4,$c5,$c6).
% 48.72/48.92  202 [hyper,161,128] {-} para($c7,$c7,$c6,$c6).
% 48.72/48.92  204 [hyper,161,70] {-} coll($c3,$c7,$c6).
% 48.72/48.92  205 [hyper,161,69] {-} cong($c3,$c7,$c3,$c6).
% 48.72/48.92  206 [hyper,161,11] {-} midp($c3,$c6,$c7).
% 48.72/48.92  223 [hyper,162,128] {-} para($c5,$c5,$c6,$c6).
% 48.72/48.92  224 [hyper,162,124] {-} para($c2,$c2,$c6,$c6).
% 48.72/48.92  233 [hyper,162,70] {-} coll($c2,$c5,$c6).
% 48.72/48.92  234 [hyper,162,69] {-} cong($c2,$c5,$c2,$c6).
% 48.72/48.92  235 [hyper,162,11] {-} midp($c2,$c6,$c5).
% 48.72/48.92  252 [hyper,163,128] {-} para($c7,$c7,$c5,$c5).
% 48.72/48.92  253 [hyper,163,124] {-} para($c1,$c1,$c5,$c5).
% 48.72/48.92  270 [hyper,163,70] {-} coll($c1,$c7,$c5).
% 48.72/48.92  271 [hyper,163,69] {-} cong($c1,$c7,$c1,$c5).
% 48.72/48.92  272 [hyper,163,45,161] {-} para($c3,$c1,$c6,$c5).
% 48.72/48.92  273 [hyper,163,45,161] {-} para($c1,$c3,$c5,$c6).
% 48.72/48.92  274 [hyper,163,11] {-} midp($c1,$c5,$c7).
% 48.72/48.92  288 [hyper,183,1] {-} coll($c5,$c4,$c5).
% 48.72/48.92  301 [hyper,184,114] {-} coll($c5,$c5,$c6).
% 48.72/48.92  315 [hyper,185,114] {-} coll($c6,$c6,$c4).
% 48.72/48.92  329 [hyper,204,114] {-} coll($c6,$c6,$c3).
% 48.72/48.92  330 [hyper,204,2] {-} coll($c7,$c3,$c6).
% 48.72/48.92  331 [hyper,204,1] {-} coll($c3,$c6,$c7).
% 48.72/48.92  345 [hyper,165,9,159] {-} para($c6,$c5,$c6,$c5).
% 48.72/48.92  346 [hyper,165,7] {-} perp($c6,$c5,$c7,$c4).
% 48.72/48.92  368 [hyper,206,124] {-} para($c3,$c3,$c7,$c7).
% 48.72/48.92  393 [hyper,206,69] {-} cong($c3,$c6,$c3,$c7).
% 48.72/48.92  394 [hyper,206,64,161] {-} para($c7,$c6,$c6,$c7).
% 48.72/48.92  395 [hyper,206,64,161] {-} para($c6,$c7,$c7,$c6).
% 48.72/48.92  408 [hyper,233,114] {-} coll($c6,$c6,$c2).
% 48.72/48.92  409 [hyper,233,2] {-} coll($c5,$c2,$c6).
% 48.72/48.92  410 [hyper,233,1] {-} coll($c2,$c6,$c5).
% 48.72/48.92  461 [hyper,235,69] {-} cong($c2,$c6,$c2,$c5).
% 48.72/48.92  462 [hyper,235,64,162] {-} para($c5,$c6,$c6,$c5).
% 48.72/48.92  464 [hyper,235,45,206] {-} para($c3,$c2,$c7,$c5).
% 48.72/48.92  465 [hyper,235,45,206] {-} para($c2,$c3,$c5,$c7).
% 48.72/48.92  478 [hyper,270,114] {-} coll($c5,$c5,$c1).
% 48.72/48.92  479 [hyper,270,2] {-} coll($c7,$c1,$c5).
% 48.72/48.92  480 [hyper,270,1] {-} coll($c1,$c5,$c7).
% 48.72/48.92  514 [hyper,274,128] {-} para($c5,$c5,$c7,$c7).
% 48.72/48.92  515 [hyper,274,124] {-} para($c1,$c1,$c7,$c7).
% 48.72/48.92  556 [hyper,274,69] {-} cong($c1,$c5,$c1,$c7).
% 48.72/48.92  557 [hyper,274,64,163] {-} para($c7,$c5,$c5,$c7).
% 48.72/48.92  558 [hyper,274,64,163] {-} para($c5,$c7,$c7,$c5).
% 48.72/48.92  559 [hyper,274,45,162] {-} para($c2,$c1,$c6,$c7).
% 48.72/48.92  560 [hyper,274,45,162] {-} para($c1,$c2,$c7,$c6).
% 48.72/48.92  586 [hyper,288,114] {-} coll($c5,$c5,$c5).
% 48.72/48.92  601 [hyper,301,1] {-} coll($c5,$c6,$c5).
% 48.72/48.92  728 [hyper,315,1] {-} coll($c6,$c4,$c6).
% 48.72/48.92  755 [hyper,329,3,315] {-} coll($c4,$c3,$c6).
% 48.72/48.92  757 [hyper,329,1] {-} coll($c6,$c3,$c6).
% 48.72/48.92  870 [hyper,330,114] {-} coll($c6,$c6,$c7).
% 48.72/48.92  884 [hyper,331,114] {-} coll($c7,$c7,$c3).
% 48.72/48.92  900 [hyper,408,3,315] {-} coll($c4,$c2,$c6).
% 48.72/48.92  903 [hyper,408,1] {-} coll($c6,$c2,$c6).
% 48.72/48.92  916 [hyper,409,1] {-} coll($c5,$c6,$c2).
% 48.72/48.92  1029 [hyper,410,114] {-} coll($c5,$c5,$c2).
% 48.72/48.92  1043 [hyper,478,114] {-} coll($c1,$c1,$c5).
% 48.72/48.92  1046 [hyper,478,3,301] {-} coll($c1,$c6,$c5).
% 48.72/48.92  1047 [hyper,478,3,183] {-} coll($c1,$c4,$c5).
% 48.72/48.92  1061 [hyper,479,114] {-} coll($c5,$c5,$c7).
% 48.72/48.92  1075 [hyper,480,114] {-} coll($c7,$c7,$c1).
% 48.72/48.92  1205 [hyper,586,3,478] {-} coll($c1,$c5,$c5).
% 48.72/48.92  1364 [hyper,728,3,184] {-} coll($c5,$c6,$c6).
% 48.72/48.92  1483 [hyper,755,1] {-} coll($c4,$c6,$c3).
% 48.72/48.92  1589 [hyper,757,2] {-} coll($c3,$c6,$c6).
% 48.72/48.92  1602 [hyper,870,114] {-} coll($c7,$c7,$c6).
% 48.72/48.92  1605 [hyper,870,3,315] {-} coll($c4,$c7,$c6).
% 48.72/48.92  1636 [hyper,884,1] {-} coll($c7,$c3,$c7).
% 48.72/48.92  1768 [hyper,900,1] {-} coll($c4,$c6,$c2).
% 48.72/48.92  1863 [hyper,903,2] {-} coll($c2,$c6,$c6).
% 48.72/48.92  1880 [hyper,916,3,601] {-} coll($c2,$c5,$c5).
% 48.72/48.92  1950 [hyper,1029,3,478] {-} coll($c1,$c2,$c5).
% 48.72/48.92  1976 [hyper,1043,1] {-} coll($c1,$c5,$c1).
% 48.72/48.92  2071 [hyper,1046,1] {-} coll($c1,$c5,$c6).
% 48.72/48.92  2084 [hyper,1047,1] {-} coll($c1,$c5,$c4).
% 48.72/48.92  2165 [hyper,1061,114] {-} coll($c7,$c7,$c5).
% 48.72/48.92  2166 [hyper,1061,3,1029] {-} coll($c2,$c7,$c5).
% 48.72/48.92  2200 [hyper,1075,3,884] {-} coll($c3,$c1,$c7).
% 48.72/48.92  2201 [hyper,1075,3,884] {-} coll($c1,$c3,$c7).
% 48.72/48.92  2202 [hyper,1075,1] {-} coll($c7,$c1,$c7).
% 48.72/48.92  2587 [hyper,1602,3,1075] {-} coll($c1,$c6,$c7).
% 48.72/48.92  2686 [hyper,1605,1] {-} coll($c4,$c6,$c7).
% 48.72/48.92  2897 [hyper,1636,2] {-} coll($c3,$c7,$c7).
% 48.72/48.92  3024 [hyper,1768,3,160] {-} coll($c2,$c5,$c4).
% 48.72/48.92  3254 [hyper,1950,1] {-} coll($c1,$c5,$c2).
% 48.72/48.92  3329 [hyper,1976,3,1205] {-} coll($c5,$c1,$c1).
% 48.72/48.92  3469 [hyper,2165,3,884] {-} coll($c3,$c5,$c7).
% 48.72/48.92  3738 [hyper,2200,1] {-} coll($c3,$c7,$c1).
% 48.72/48.92  3751 [hyper,2201,1] {-} coll($c1,$c7,$c3).
% 48.72/48.92  3765 [hyper,2202,2] {-} coll($c1,$c7,$c7).
% 48.72/48.92  4279 [hyper,2587,1] {-} coll($c1,$c7,$c6).
% 48.72/48.92  4383 [hyper,2686,3,1483] {-} coll($c3,$c7,$c4).
% 48.72/48.92  5575 [hyper,3254,3,2084] {-} coll($c2,$c4,$c1).
% 48.72/48.92  5579 [hyper,3254,2] {-} coll($c5,$c1,$c2).
% 48.72/48.92  6637 [hyper,224,5] {-} para($c6,$c6,$c2,$c2).
% 48.72/48.92  6766 [hyper,3738,2] {-} coll($c7,$c3,$c1).
% 48.72/48.92  7536 [hyper,4279,3,3751] {-} coll($c6,$c3,$c1).
% 48.72/48.92  7660 [hyper,234,154] {-} cyclic($c5,$c6,$c6,$c6).
% 48.72/48.92  7790 [hyper,4383,3,3738] {-} coll($c1,$c4,$c3).
% 48.72/48.92  8963 [hyper,253,6,223] {-} para($c1,$c1,$c6,$c6).
% 48.72/48.92  8964 [hyper,253,5] {-} para($c5,$c5,$c1,$c1).
% 48.72/48.92  9208 [hyper,271,23] {-} cong($c1,$c7,$c5,$c1).
% 48.72/48.92  9324 [hyper,272,5] {-} para($c6,$c5,$c3,$c1).
% 48.72/48.92  9325 [hyper,272,4] {-} para($c3,$c1,$c5,$c6).
% 48.72/48.92  9440 [hyper,273,5] {-} para($c5,$c6,$c1,$c3).
% 48.72/48.92  9674 [hyper,345,40] {-} eqangle($c6,$c5,A,B,$c6,$c5,A,B).
% 48.72/48.92  9685 [hyper,346,8] {-} perp($c7,$c4,$c6,$c5).
% 48.72/48.92  9924 [hyper,368,6,252] {-} para($c3,$c3,$c5,$c5).
% 48.72/48.92  9937 [hyper,393,25,205] {-} cong($c3,$c7,$c3,$c7).
% 48.72/48.92  9938 [hyper,393,25,205] {-} cong($c3,$c6,$c3,$c6).
% 48.72/48.92  10053 [hyper,394,4] {-} para($c7,$c6,$c7,$c6).
% 48.72/48.92  10167 [hyper,395,6,394] {-} para($c6,$c7,$c6,$c7).
% 48.72/48.92  10413 [hyper,461,25,234] {-} cong($c2,$c5,$c2,$c5).
% 48.72/48.92  10414 [hyper,461,25,234] {-} cong($c2,$c6,$c2,$c6).
% 48.72/48.92  10529 [hyper,462,10,346] {-} perp($c5,$c6,$c7,$c4).
% 48.72/48.92  10761 [hyper,464,5] {-} para($c7,$c5,$c3,$c2).
% 48.72/48.92  11240 [hyper,515,5] {-} para($c7,$c7,$c1,$c1).
% 48.72/48.92  11252 [hyper,556,25,271] {-} cong($c1,$c7,$c1,$c7).
% 48.72/48.92  11719 [hyper,559,5] {-} para($c6,$c7,$c2,$c1).
% 48.72/48.92  11826 [hyper,560,6,394] {-} para($c1,$c2,$c6,$c7).
% 48.72/48.92  11827 [hyper,560,5] {-} para($c7,$c6,$c1,$c2).
% 48.72/48.92  12487 [hyper,8963,6,6637] {-} para($c1,$c1,$c2,$c2).
% 48.72/48.92  12612 [hyper,9208,24] {-} cong($c5,$c1,$c1,$c7).
% 48.72/48.92  12723 [hyper,9324,6,462] {-} para($c5,$c6,$c3,$c1).
% 48.72/48.92  12727 [hyper,9324,4] {-} para($c6,$c5,$c1,$c3).
% 48.72/48.92  12940 [hyper,9440,6,9325] {-} para($c3,$c1,$c1,$c3).
% 48.72/48.92  12941 [hyper,9440,6,273] {-} para($c1,$c3,$c1,$c3).
% 48.72/48.92  13163 [hyper,9685,9,346] {-} para($c7,$c4,$c7,$c4).
% 48.72/48.92  13592 [hyper,9924,6,8964] {-} para($c3,$c3,$c1,$c1).
% 48.72/48.92  13721 [hyper,9937,68,2897] {-} midp($c3,$c7,$c7).
% 48.72/48.92  13865 [hyper,13721,64,206] {-} para($c6,$c7,$c7,$c7).
% 48.72/48.92  13870 [hyper,13721,46,464,2166] {-} midp($c2,$c7,$c5).
% 48.72/48.92  14034 [hyper,13870,65,557,252] {-} midp($c2,$c5,$c7).
% 48.72/48.92  14231 [hyper,9938,68,1589] {-} midp($c3,$c6,$c6).
% 48.72/48.92  14273 [hyper,14231,129,345] {-} midp($c3,$c5,$c5).
% 48.72/48.92  14508 [hyper,14273,46,9325,2071] {-} midp($c1,$c5,$c6).
% 48.72/48.92  15235 [hyper,10413,117,234] {-} cyclic($c5,$c6,$c6,$c5).
% 48.72/48.92  15238 [hyper,10413,68,1880] {-} midp($c2,$c5,$c5).
% 48.72/48.92  15308 [hyper,15238,46,465,3469] {-} midp($c3,$c5,$c7).
% 48.72/48.92  15313 [hyper,15238,45,162] {-} para($c2,$c2,$c6,$c5).
% 48.72/48.92  15314 [hyper,15238,45,14508] {-} para($c2,$c1,$c5,$c6).
% 48.72/48.92  15315 [hyper,15238,45,14273] {-} para($c2,$c3,$c5,$c5).
% 48.72/48.92  15377 [hyper,15308,65,558,514] {-} midp($c3,$c7,$c5).
% 48.72/48.92  15464 [hyper,15377,46,9325,4279] {-} midp($c1,$c7,$c6).
% 48.72/48.92  15535 [hyper,15464,65,394,202] {-} midp($c1,$c6,$c7).
% 48.72/48.92  15618 [hyper,15535,46,560,1863] {-} midp($c2,$c6,$c6).
% 48.72/48.92  15624 [hyper,15618,129,10167] {-} midp($c2,$c7,$c7).
% 48.72/48.92  15790 [hyper,15624,45,161] {-} para($c2,$c3,$c7,$c6).
% 48.72/48.92  15798 [hyper,10414,57,10413] {-} perp($c2,$c2,$c5,$c6).
% 48.72/48.92  16466 [hyper,11252,68,3765] {-} midp($c1,$c7,$c7).
% 48.72/48.92  16475 [hyper,16466,129,10053] {-} midp($c1,$c6,$c6).
% 48.72/48.92  17686 [hyper,11826,6,11719] {-} para($c1,$c2,$c2,$c1).
% 48.72/48.92  19309 [hyper,12612,25,9208] {-} cong($c5,$c1,$c5,$c1).
% 48.72/48.92  20061 [hyper,13163,129,16466] {-} midp($c1,$c4,$c4).
% 48.72/48.92  20284 [hyper,20061,64,16475] {-} para($c6,$c4,$c6,$c4).
% 48.72/48.92  20913 [hyper,13865,6,11240] {-} para($c6,$c7,$c1,$c1).
% 48.72/48.92  26881 [hyper,15313,6,12727] {-} para($c2,$c2,$c1,$c3).
% 48.72/48.92  26992 [hyper,15314,6,9440] {-} para($c2,$c1,$c1,$c3).
% 48.72/48.92  27105 [hyper,15315,6,8964] {-} para($c2,$c3,$c1,$c1).
% 48.72/48.92  34210 [hyper,15790,6,11827] {-} para($c2,$c3,$c1,$c2).
% 48.72/48.92  34251 [hyper,15798,9,10529] {-} para($c2,$c2,$c7,$c4).
% 48.72/48.92  37008 [hyper,19309,68,3329] {-} midp($c5,$c1,$c1).
% 48.72/48.92  37012 [hyper,37008,129,12941] {-} midp($c5,$c3,$c3).
% 48.72/48.92  37471 [hyper,37012,46,12723,7536] {-} midp($c6,$c3,$c1).
% 48.72/48.92  42692 [hyper,20913,46,37471,6766] {-} midp($c7,$c3,$c1).
% 48.72/48.92  42801 [hyper,42692,65,12940,13592] {-} midp($c7,$c1,$c3).
% 48.72/48.92  42908 [hyper,42801,46,10761,5579] {-} midp($c5,$c1,$c2).
% 48.72/48.92  43126 [hyper,42908,65,17686,12487] {-} midp($c5,$c2,$c1).
% 48.72/48.92  45399 [hyper,34251,46,14034,3024] {-} midp($c2,$c5,$c4).
% 48.72/48.92  45821 [hyper,45399,64,15618] {-} para($c5,$c6,$c4,$c6).
% 48.72/48.92  48319 [hyper,9674,123,15235,7660] {-} cong($c5,$c6,$c5,$c6).
% 48.72/48.92  55122 [hyper,48319,68,1364] {-} midp($c5,$c6,$c6).
% 48.72/48.92  55132 [hyper,55122,129,20284] {-} midp($c5,$c4,$c4).
% 48.72/48.92  55332 [hyper,55122,64,43126] {-} para($c6,$c2,$c6,$c1).
% 48.72/48.92  55333 [hyper,55122,64,42908] {-} para($c6,$c1,$c6,$c2).
% 48.72/48.92  55588 [hyper,55132,46,45821,728] {-} midp($c6,$c4,$c6).
% 48.72/48.92  78682 [hyper,55332,46,55588,5575] {-} midp($c2,$c4,$c1).
% 48.72/48.92  79701 [hyper,78682,46,26992,7790] {-} midp($c1,$c4,$c3).
% 48.72/48.92  87268 [hyper,79701,11] {-} midp($c1,$c3,$c4).
% 48.72/48.92  101669 [hyper,87268,69] {-} cong($c1,$c3,$c1,$c4).
% 48.72/48.92  105947 [hyper,55333,65,16475,55332] {-} midp($c1,$c2,$c1).
% 48.72/48.92  106413 [hyper,105947,65,34210,26881] {-} midp($c1,$c3,$c2).
% 48.72/48.92  106414 [hyper,105947,65,27105,26992] {-} midp($c1,$c3,$c1).
% 48.72/48.92  110872 [hyper,106413,69] {-} cong($c1,$c3,$c1,$c2).
% 48.72/48.92  111353 [hyper,106414,69] {-} cong($c1,$c3,$c1,$c1).
% 48.72/48.92  190711 [hyper,111353,13,101669,110872] {-} cyclic($c3,$c4,$c2,$c1).
% 48.72/48.92  190712 [binary,190711.1,113.1] {-} $F.
% 48.72/48.92  
% 48.72/48.92  % SZS output end Refutation
% 48.72/48.92  ------------ end of proof -------------
% 48.72/48.92  
% 48.72/48.92  
% 48.72/48.92  Search stopped by max_proofs option.
% 48.72/48.92  
% 48.72/48.92  
% 48.72/48.92  Search stopped by max_proofs option.
% 48.72/48.92  
% 48.72/48.92  ============ end of search ============
% 48.72/48.92  
% 48.72/48.92  That finishes the proof of the theorem.
% 48.72/48.92  
% 48.72/48.92  Process 25998 finished Sat Jun 18 10:44:06 2022
%------------------------------------------------------------------------------