TSTP Solution File: GEO565+1 by SOS---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SOS---2.0
% Problem  : GEO565+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : sos-script %s

% Computer : n003.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 06:20:55 EDT 2022

% Result   : Theorem 69.95s 70.15s
% Output   : Refutation 69.95s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11  % Problem  : GEO565+1 : TPTP v8.1.0. Released v7.5.0.
% 0.11/0.12  % Command  : sos-script %s
% 0.11/0.31  % Computer : n003.cluster.edu
% 0.11/0.31  % Model    : x86_64 x86_64
% 0.11/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31  % Memory   : 8042.1875MB
% 0.11/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31  % CPULimit : 300
% 0.11/0.31  % WCLimit  : 600
% 0.11/0.31  % DateTime : Sat Jun 18 11:53:43 EDT 2022
% 0.11/0.32  % CPUTime  : 
% 0.11/0.35  ----- Otter 3.2, August 2001 -----
% 0.11/0.35  The process was started by sandbox2 on n003.cluster.edu,
% 0.11/0.35  Sat Jun 18 11:53:43 2022
% 0.11/0.35  The command was "./sos".  The process ID is 27928.
% 0.11/0.35  
% 0.11/0.35  set(prolog_style_variables).
% 0.11/0.35  set(auto).
% 0.11/0.35     dependent: set(auto1).
% 0.11/0.35     dependent: set(process_input).
% 0.11/0.35     dependent: clear(print_kept).
% 0.11/0.35     dependent: clear(print_new_demod).
% 0.11/0.35     dependent: clear(print_back_demod).
% 0.11/0.35     dependent: clear(print_back_sub).
% 0.11/0.35     dependent: set(control_memory).
% 0.11/0.35     dependent: assign(max_mem, 12000).
% 0.11/0.35     dependent: assign(pick_given_ratio, 4).
% 0.11/0.35     dependent: assign(stats_level, 1).
% 0.11/0.35     dependent: assign(pick_semantic_ratio, 3).
% 0.11/0.35     dependent: assign(sos_limit, 5000).
% 0.11/0.35     dependent: assign(max_weight, 60).
% 0.11/0.35  clear(print_given).
% 0.11/0.35  
% 0.11/0.35  formula_list(usable).
% 0.11/0.35  
% 0.11/0.35  SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=5.
% 0.11/0.35  
% 0.11/0.35  This ia a non-Horn set with equality.  The strategy will be
% 0.11/0.35  Knuth-Bendix, ordered hyper_res, ur_res, factoring, and
% 0.11/0.35  unit deletion, with positive clauses in sos and nonpositive
% 0.11/0.35  clauses in usable.
% 0.11/0.35  
% 0.11/0.35     dependent: set(knuth_bendix).
% 0.11/0.35     dependent: set(para_from).
% 0.11/0.35     dependent: set(para_into).
% 0.11/0.35     dependent: clear(para_from_right).
% 0.11/0.35     dependent: clear(para_into_right).
% 0.11/0.35     dependent: set(para_from_vars).
% 0.11/0.35     dependent: set(eq_units_both_ways).
% 0.11/0.35     dependent: set(dynamic_demod_all).
% 0.11/0.35     dependent: set(dynamic_demod).
% 0.11/0.35     dependent: set(order_eq).
% 0.11/0.35     dependent: set(back_demod).
% 0.11/0.35     dependent: set(lrpo).
% 0.11/0.35     dependent: set(hyper_res).
% 0.11/0.35     dependent: set(unit_deletion).
% 0.11/0.35     dependent: set(factor).
% 0.11/0.35  
% 0.11/0.35  ------------> process usable:
% 0.11/0.35    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).
% 0.11/0.35  
% 0.11/0.35  ------------> process sos:
% 0.11/0.35    Following clause subsumed by 186 during input processing: 0 [copy,186,flip.1] {-} A=A.
% 0.11/0.35  186 back subsumes 146.
% 0.11/0.35  186 back subsumes 145.
% 0.11/0.35  186 back subsumes 144.
% 0.11/0.35  186 back subsumes 143.
% 0.11/0.35  
% 0.11/0.35  ======= end of input processing =======
% 0.17/0.43  
% 0.17/0.43  
% 0.17/0.43  Failed to model usable list: disabling FINDER
% 0.17/0.43  
% 0.17/0.43  
% 0.17/0.43  
% 0.17/0.43  -------------- Softie stats --------------
% 0.17/0.43  
% 0.17/0.43  UPDATE_STOP: 300
% 0.17/0.43  SFINDER_TIME_LIMIT: 2
% 0.17/0.43  SHORT_CLAUSE_CUTOFF: 4
% 0.17/0.43  number of clauses in intial UL: 154
% 0.17/0.43  number of clauses initially in problem: 182
% 0.17/0.43  percentage of clauses intially in UL: 84
% 0.17/0.43  percentage of distinct symbols occuring in initial UL: 67
% 0.17/0.43  percent of all initial clauses that are short: 100
% 0.17/0.43  absolute distinct symbol count: 52
% 0.17/0.43     distinct predicate count: 12
% 0.17/0.43     distinct function count: 20
% 0.17/0.43     distinct constant count: 20
% 0.17/0.43  
% 0.17/0.43  ---------- no more Softie stats ----------
% 0.17/0.43  
% 0.17/0.43  
% 0.17/0.43  
% 0.17/0.43  =========== start of search ===========
% 1.63/1.82  
% 1.63/1.82  
% 1.63/1.82  Changing weight limit from 60 to 57.
% 1.63/1.82  
% 1.63/1.82  Resetting weight limit to 57 after 135 givens.
% 1.63/1.82  
% 1.80/2.05  
% 1.80/2.05  
% 1.80/2.05  Changing weight limit from 57 to 56.
% 1.80/2.05  
% 1.80/2.05  Resetting weight limit to 56 after 140 givens.
% 1.80/2.05  
% 2.11/2.35  
% 2.11/2.35  
% 2.11/2.35  Changing weight limit from 56 to 55.
% 2.11/2.35  
% 2.11/2.35  Resetting weight limit to 55 after 145 givens.
% 2.11/2.35  
% 2.24/2.42  
% 2.24/2.42  
% 2.24/2.42  Changing weight limit from 55 to 52.
% 2.24/2.42  
% 2.24/2.42  Resetting weight limit to 52 after 150 givens.
% 2.24/2.42  
% 2.40/2.66  
% 2.40/2.66  
% 2.40/2.66  Changing weight limit from 52 to 51.
% 2.40/2.66  
% 2.40/2.66  Resetting weight limit to 51 after 160 givens.
% 2.40/2.66  
% 3.23/3.46  
% 3.23/3.46  
% 3.23/3.46  Changing weight limit from 51 to 37.
% 3.23/3.46  
% 3.23/3.46  Resetting weight limit to 37 after 180 givens.
% 3.23/3.46  
% 3.32/3.51  
% 3.32/3.51  
% 3.32/3.51  Changing weight limit from 37 to 34.
% 3.32/3.51  
% 3.32/3.51  Resetting weight limit to 34 after 185 givens.
% 3.32/3.51  
% 3.41/3.60  
% 3.41/3.60  
% 3.41/3.60  Changing weight limit from 34 to 31.
% 3.41/3.60  
% 3.41/3.60  Resetting weight limit to 31 after 190 givens.
% 3.41/3.60  
% 3.53/3.80  
% 3.53/3.80  
% 3.53/3.80  Changing weight limit from 31 to 30.
% 3.53/3.80  
% 3.53/3.80  Resetting weight limit to 30 after 195 givens.
% 3.53/3.80  
% 5.14/5.33  
% 5.14/5.33  
% 5.14/5.33  Changing weight limit from 30 to 29.
% 5.14/5.33  
% 5.14/5.33  Modelling stopped after 300 given clauses and 0.00 seconds
% 5.14/5.33  
% 5.14/5.33  
% 5.14/5.33  Resetting weight limit to 29 after 315 givens.
% 5.14/5.33  
% 5.51/5.74  
% 5.51/5.74  
% 5.51/5.74  Changing weight limit from 29 to 23.
% 5.51/5.74  
% 5.51/5.74  Resetting weight limit to 23 after 455 givens.
% 5.51/5.74  
% 5.51/5.77  
% 5.51/5.77  
% 5.51/5.77  Changing weight limit from 23 to 21.
% 5.51/5.77  
% 5.51/5.77  Resetting weight limit to 21 after 460 givens.
% 5.51/5.77  
% 5.60/5.79  
% 5.60/5.79  
% 5.60/5.79  Changing weight limit from 21 to 17.
% 5.60/5.79  
% 5.60/5.79  Resetting weight limit to 17 after 465 givens.
% 5.60/5.79  
% 5.64/5.90  
% 5.64/5.90  
% 5.64/5.90  Changing weight limit from 17 to 16.
% 5.64/5.90  
% 5.64/5.90  Resetting weight limit to 16 after 570 givens.
% 5.64/5.90  
% 5.80/6.00  
% 5.80/6.00  
% 5.80/6.00  Changing weight limit from 16 to 15.
% 5.80/6.00  
% 5.80/6.00  Resetting weight limit to 15 after 610 givens.
% 5.80/6.00  
% 5.92/6.10  
% 5.92/6.10  
% 5.92/6.10  Changing weight limit from 15 to 11.
% 5.92/6.10  
% 5.92/6.10  Resetting weight limit to 11 after 685 givens.
% 5.92/6.10  
% 6.33/6.53  
% 6.33/6.53  
% 6.33/6.53  Changing weight limit from 11 to 10.
% 6.33/6.53  
% 6.33/6.53  Resetting weight limit to 10 after 1065 givens.
% 6.33/6.53  
% 19.33/19.55  
% 19.33/19.55  
% 19.33/19.55  Changing weight limit from 10 to 9.
% 19.33/19.55  
% 19.33/19.55  Resetting weight limit to 9 after 5245 givens.
% 19.33/19.55  
% 29.32/29.56  
% 29.32/29.56  
% 29.32/29.56  Changing weight limit from 9 to 5.
% 29.32/29.56  
% 29.32/29.56  Resetting weight limit to 5 after 6935 givens.
% 29.32/29.56  
% 69.95/70.15  
% 69.95/70.15  -- HEY sandbox2, WE HAVE A PROOF!! -- 
% 69.95/70.15  
% 69.95/70.15  ----> UNIT CONFLICT at  66.66 sec ----> 214582 [binary,214581.1,113.1] {-} $F.
% 69.95/70.15  
% 69.95/70.15  Length of proof is 104.  Level of proof is 15.
% 69.95/70.15  
% 69.95/70.15  ---------------- PROOF ----------------
% 69.95/70.15  % SZS status Theorem
% 69.95/70.15  % SZS output start Refutation
% 69.95/70.15  
% 69.95/70.15  1 [] {+} -coll(A,B,C)|coll(A,C,B).
% 69.95/70.15  2 [] {+} -coll(A,B,C)|coll(B,A,C).
% 69.95/70.15  3 [] {+} -coll(A,B,C)| -coll(A,B,D)|coll(C,D,A).
% 69.95/70.15  4 [] {+} -para(A,B,C,D)|para(A,B,D,C).
% 69.95/70.15  5 [] {+} -para(A,B,C,D)|para(C,D,A,B).
% 69.95/70.15  6 [] {+} -para(A,B,C,D)| -para(C,D,E,F)|para(A,B,E,F).
% 69.95/70.15  7 [] {+} -perp(A,B,C,D)|perp(A,B,D,C).
% 69.95/70.15  8 [] {+} -perp(A,B,C,D)|perp(C,D,A,B).
% 69.95/70.15  9 [] {+} -perp(A,B,C,D)| -perp(C,D,E,F)|para(A,B,E,F).
% 69.95/70.15  11 [] {+} -midp(A,B,C)|midp(A,C,B).
% 69.95/70.15  23 [] {+} -cong(A,B,C,D)|cong(A,B,D,C).
% 69.95/70.15  24 [] {+} -cong(A,B,C,D)|cong(C,D,A,B).
% 69.95/70.15  25 [] {+} -cong(A,B,C,D)| -cong(C,D,E,F)|cong(A,B,E,F).
% 69.95/70.15  45 [] {+} -midp(A,B,C)| -midp(D,B,E)|para(A,D,C,E).
% 69.95/70.15  46 [] {+} -midp(A,B,C)| -para(A,D,C,E)| -coll(D,B,E)|midp(D,B,E).
% 69.95/70.15  64 [] {+} -midp(A,B,C)| -midp(A,D,E)|para(B,D,C,E).
% 69.95/70.15  65 [] {+} -midp(A,B,C)| -para(B,D,C,E)| -para(B,E,C,D)|midp(A,D,E).
% 69.95/70.15  67 [] {+} -para(A,B,A,C)|coll(A,B,C).
% 69.95/70.15  68 [] {+} -cong(A,B,A,C)| -coll(A,B,C)|midp(A,B,C).
% 69.95/70.15  69 [] {+} -midp(A,B,C)|cong(A,B,A,C).
% 69.95/70.15  70 [] {+} -midp(A,B,C)|coll(A,B,C).
% 69.95/70.15  113 [] {+} -cong($c17,$c14,$c17,$c13).
% 69.95/70.15  114 [factor,3.1.2] {+} -coll(A,B,C)|coll(C,C,A).
% 69.95/70.15  129 [factor,65.2.3] {+} -midp(A,B,C)| -para(B,D,C,D)|midp(A,D,D).
% 69.95/70.15  160 [] {-} perp($c20,$c18,$c19,$c17).
% 69.95/70.15  161 [] {-} perp($c19,$c18,$c20,$c17).
% 69.95/70.15  162 [] {-} midp($c12,$c20,$c19).
% 69.95/70.15  166 [] {-} midp($c10,$c19,$c18).
% 69.95/70.15  168 [] {-} midp($c9,$c20,$c17).
% 69.95/70.15  174 [] {-} midp($c6,$c19,$c17).
% 69.95/70.15  175 [] {-} perp($c19,$c17,$c6,$c14).
% 69.95/70.15  176 [] {-} midp($c5,$c19,$c18).
% 69.95/70.15  177 [] {-} perp($c19,$c18,$c5,$c14).
% 69.95/70.15  180 [] {-} midp($c3,$c18,$c17).
% 69.95/70.15  181 [] {-} perp($c18,$c17,$c3,$c13).
% 69.95/70.15  182 [] {-} midp($c2,$c18,$c20).
% 69.95/70.15  183 [] {-} perp($c18,$c20,$c2,$c13).
% 69.95/70.15  211 [hyper,162,70] {-} coll($c12,$c20,$c19).
% 69.95/70.15  213 [hyper,162,11] {-} midp($c12,$c19,$c20).
% 69.95/70.15  279 [hyper,166,70] {-} coll($c10,$c19,$c18).
% 69.95/70.15  281 [hyper,166,11] {-} midp($c10,$c18,$c19).
% 69.95/70.15  294 [hyper,160,8] {-} perp($c19,$c17,$c20,$c18).
% 69.95/70.15  342 [hyper,168,70] {-} coll($c9,$c20,$c17).
% 69.95/70.15  343 [hyper,168,69] {-} cong($c9,$c20,$c9,$c17).
% 69.95/70.15  347 [hyper,168,45,162] {-} para($c9,$c12,$c17,$c19).
% 69.95/70.15  348 [hyper,168,11] {-} midp($c9,$c17,$c20).
% 69.95/70.15  534 [hyper,174,70] {-} coll($c6,$c19,$c17).
% 69.95/70.15  559 [hyper,161,8] {-} perp($c20,$c17,$c19,$c18).
% 69.95/70.15  822 [hyper,180,70] {-} coll($c3,$c18,$c17).
% 69.95/70.15  923 [hyper,182,70] {-} coll($c2,$c18,$c20).
% 69.95/70.15  1072 [hyper,211,2] {-} coll($c20,$c12,$c19).
% 69.95/70.15  1194 [hyper,213,45,176] {-} para($c12,$c5,$c20,$c18).
% 69.95/70.15  1196 [hyper,213,45,166] {-} para($c12,$c10,$c20,$c18).
% 69.95/70.15  1372 [hyper,279,1] {-} coll($c10,$c18,$c19).
% 69.95/70.15  1507 [hyper,281,45,182] {-} para($c2,$c10,$c20,$c19).
% 69.95/70.15  1524 [hyper,342,114] {-} coll($c17,$c17,$c9).
% 69.95/70.15  1525 [hyper,342,2] {-} coll($c20,$c9,$c17).
% 69.95/70.15  1684 [hyper,348,64,168] {-} para($c17,$c20,$c20,$c17).
% 69.95/70.15  2072 [hyper,534,114] {-} coll($c17,$c17,$c6).
% 69.95/70.15  2074 [hyper,534,1] {-} coll($c6,$c17,$c19).
% 69.95/70.15  2673 [hyper,822,114] {-} coll($c17,$c17,$c3).
% 69.95/70.15  2902 [hyper,923,114] {-} coll($c20,$c20,$c2).
% 69.95/70.15  3135 [hyper,175,8] {-} perp($c6,$c14,$c19,$c17).
% 69.95/70.15  3379 [hyper,1072,114] {-} coll($c19,$c19,$c20).
% 69.95/70.15  3515 [hyper,1372,114] {-} coll($c19,$c19,$c10).
% 69.95/70.15  3529 [hyper,1524,114] {-} coll($c9,$c9,$c17).
% 69.95/70.15  3543 [hyper,1525,114] {-} coll($c17,$c17,$c20).
% 69.95/70.15  3558 [hyper,181,8] {-} perp($c3,$c13,$c18,$c17).
% 69.95/70.15  3745 [hyper,2074,114] {-} coll($c19,$c19,$c6).
% 69.95/70.15  3891 [hyper,2673,114] {-} coll($c3,$c3,$c17).
% 69.95/70.15  3894 [hyper,2673,3,2072] {-} coll($c3,$c6,$c17).
% 69.95/70.15  4250 [hyper,3379,114] {-} coll($c20,$c20,$c19).
% 69.95/70.15  4950 [hyper,3529,1] {-} coll($c9,$c17,$c9).
% 69.95/70.15  4978 [hyper,3543,3,2072] {-} coll($c6,$c20,$c17).
% 69.95/70.15  4980 [hyper,3543,3,2072] {-} coll($c20,$c6,$c17).
% 69.95/70.15  5680 [hyper,3745,3,3515] {-} coll($c10,$c6,$c19).
% 69.95/70.15  6436 [hyper,3894,1] {-} coll($c3,$c17,$c6).
% 69.95/70.15  6871 [hyper,4250,3,2902] {-} coll($c19,$c2,$c20).
% 69.95/70.15  7968 [hyper,4950,2] {-} coll($c17,$c9,$c9).
% 69.95/70.15  8025 [hyper,4978,1] {-} coll($c6,$c17,$c20).
% 69.95/70.15  8051 [hyper,4980,1] {-} coll($c20,$c17,$c6).
% 69.95/70.15  9347 [hyper,5680,1] {-} coll($c10,$c19,$c6).
% 69.95/70.15  11520 [hyper,6436,114] {-} coll($c6,$c6,$c3).
% 69.95/70.15  11689 [hyper,294,7] {-} perp($c19,$c17,$c18,$c20).
% 69.95/70.15  13146 [hyper,6871,1] {-} coll($c19,$c20,$c2).
% 69.95/70.15  13696 [hyper,343,23] {-} cong($c9,$c20,$c17,$c9).
% 69.95/70.15  13806 [hyper,347,5] {-} para($c17,$c19,$c9,$c12).
% 69.95/70.15  14184 [hyper,8025,114] {-} coll($c20,$c20,$c6).
% 69.95/70.15  14189 [hyper,8025,3,2074] {-} coll($c19,$c20,$c6).
% 69.95/70.15  14204 [hyper,8051,114] {-} coll($c6,$c6,$c20).
% 69.95/70.15  15048 [hyper,9347,114] {-} coll($c6,$c6,$c10).
% 69.95/70.15  18673 [hyper,559,9,177] {-} para($c20,$c17,$c5,$c14).
% 69.95/70.15  20381 [hyper,14184,3,2902] {-} coll($c2,$c6,$c20).
% 69.95/70.15  20397 [hyper,14189,3,13146] {-} coll($c2,$c6,$c19).
% 69.95/70.15  30269 [hyper,1194,5] {-} para($c20,$c18,$c12,$c5).
% 69.95/70.15  30695 [hyper,1196,5] {-} para($c20,$c18,$c12,$c10).
% 69.95/70.15  39858 [hyper,1507,5] {-} para($c20,$c19,$c2,$c10).
% 69.95/70.15  53024 [hyper,20381,1] {-} coll($c2,$c20,$c6).
% 69.95/70.15  63816 [hyper,53024,114] {-} coll($c6,$c6,$c2).
% 69.95/70.15  101819 [hyper,3135,9,175] {-} para($c6,$c14,$c6,$c14).
% 69.95/70.15  107755 [hyper,3558,9,181] {-} para($c3,$c13,$c3,$c13).
% 69.95/70.15  108768 [hyper,11689,9,183] {-} para($c19,$c17,$c2,$c13).
% 69.95/70.15  108839 [hyper,13696,24] {-} cong($c17,$c9,$c9,$c20).
% 69.95/70.15  109027 [hyper,13806,6,347] {-} para($c9,$c12,$c9,$c12).
% 69.95/70.15  109776 [hyper,18673,6,1684] {-} para($c17,$c20,$c5,$c14).
% 69.95/70.15  115617 [hyper,30269,6,1196] {-} para($c12,$c10,$c12,$c5).
% 69.95/70.15  115735 [hyper,30695,6,1194] {-} para($c12,$c5,$c12,$c10).
% 69.95/70.15  125484 [hyper,39858,4] {-} para($c20,$c19,$c10,$c2).
% 69.95/70.15  138516 [hyper,101819,67] {-} coll($c6,$c14,$c14).
% 69.95/70.15  138517 [hyper,138516,114] {-} coll($c14,$c14,$c6).
% 69.95/70.15  138519 [hyper,138517,114] {-} coll($c6,$c6,$c14).
% 69.95/70.15  138523 [hyper,138519,3,63816] {-} coll($c2,$c14,$c6).
% 69.95/70.15  138549 [hyper,138519,3,15048] {-} coll($c14,$c10,$c6).
% 69.95/70.15  138551 [hyper,138519,3,14204] {-} coll($c14,$c20,$c6).
% 69.95/70.15  138552 [hyper,138519,3,11520] {-} coll($c14,$c3,$c6).
% 69.95/70.15  138560 [hyper,138523,1] {-} coll($c2,$c6,$c14).
% 69.95/70.15  138597 [hyper,138549,1] {-} coll($c14,$c6,$c10).
% 69.95/70.15  138603 [hyper,138551,1] {-} coll($c14,$c6,$c20).
% 69.95/70.15  138604 [hyper,138552,1] {-} coll($c14,$c6,$c3).
% 69.95/70.15  138707 [hyper,138560,3,20397] {-} coll($c19,$c14,$c2).
% 69.95/70.15  139459 [hyper,138603,3,138597] {-} coll($c20,$c10,$c14).
% 69.95/70.15  139471 [hyper,138604,114] {-} coll($c3,$c3,$c14).
% 69.95/70.15  140010 [hyper,107755,67] {-} coll($c3,$c13,$c13).
% 69.95/70.15  140447 [hyper,140010,114] {-} coll($c13,$c13,$c3).
% 69.95/70.15  140815 [hyper,140447,114] {-} coll($c3,$c3,$c13).
% 69.95/70.15  140844 [hyper,140815,3,139471] {-} coll($c13,$c14,$c3).
% 69.95/70.15  140862 [hyper,140815,3,3891] {-} coll($c13,$c17,$c3).
% 69.95/70.15  140994 [hyper,140844,1] {-} coll($c13,$c3,$c14).
% 69.95/70.15  141013 [hyper,140862,1] {-} coll($c13,$c3,$c17).
% 69.95/70.15  142069 [hyper,141013,3,140994] {-} coll($c17,$c14,$c13).
% 69.95/70.15  142149 [hyper,108839,25,13696] {-} cong($c17,$c9,$c17,$c9).
% 69.95/70.15  209919 [hyper,142149,68,7968] {-} midp($c17,$c9,$c9).
% 69.95/70.15  209921 [hyper,209919,129,109027] {-} midp($c17,$c12,$c12).
% 69.95/70.15  209947 [hyper,209921,65,115617,115735] {-} midp($c17,$c10,$c5).
% 69.95/70.15  210209 [hyper,209947,46,109776,139459] {-} midp($c20,$c10,$c14).
% 69.95/70.15  211140 [hyper,210209,11] {-} midp($c20,$c14,$c10).
% 69.95/70.15  212690 [hyper,211140,46,125484,138707] {-} midp($c19,$c14,$c2).
% 69.95/70.15  214004 [hyper,212690,46,108768,142069] {-} midp($c17,$c14,$c13).
% 69.95/70.15  214581 [hyper,214004,69] {-} cong($c17,$c14,$c17,$c13).
% 69.95/70.15  214582 [binary,214581.1,113.1] {-} $F.
% 69.95/70.15  
% 69.95/70.15  % SZS output end Refutation
% 69.95/70.15  ------------ end of proof -------------
% 69.95/70.15  
% 69.95/70.15  
% 69.95/70.15  Search stopped by max_proofs option.
% 69.95/70.15  
% 69.95/70.15  
% 69.95/70.15  Search stopped by max_proofs option.
% 69.95/70.15  
% 69.95/70.15  ============ end of search ============
% 69.95/70.15  
% 69.95/70.15  That finishes the proof of the theorem.
% 69.95/70.15  
% 69.95/70.15  Process 27928 finished Sat Jun 18 11:54:53 2022
%------------------------------------------------------------------------------