TSTP Solution File: GEO647+1 by SOS---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SOS---2.0
% Problem  : GEO647+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : sos-script %s

% Computer : n029.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 06:21:19 EDT 2022

% Result   : Theorem 15.59s 15.84s
% Output   : Refutation 15.59s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13  % Problem  : GEO647+1 : TPTP v8.1.0. Released v7.5.0.
% 0.08/0.13  % Command  : sos-script %s
% 0.13/0.35  % Computer : n029.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 600
% 0.13/0.35  % DateTime : Sat Jun 18 13:23:14 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 0.13/0.38  ----- Otter 3.2, August 2001 -----
% 0.13/0.38  The process was started by sandbox2 on n029.cluster.edu,
% 0.13/0.38  Sat Jun 18 13:23:14 2022
% 0.13/0.38  The command was "./sos".  The process ID is 30316.
% 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 =======
% 0.20/0.45  
% 0.20/0.45  
% 0.20/0.45  Failed to model usable list: disabling FINDER
% 0.20/0.45  
% 0.20/0.45  
% 0.20/0.45  
% 0.20/0.45  -------------- Softie stats --------------
% 0.20/0.45  
% 0.20/0.45  UPDATE_STOP: 300
% 0.20/0.45  SFINDER_TIME_LIMIT: 2
% 0.20/0.45  SHORT_CLAUSE_CUTOFF: 4
% 0.20/0.45  number of clauses in intial UL: 154
% 0.20/0.45  number of clauses initially in problem: 160
% 0.20/0.45  percentage of clauses intially in UL: 96
% 0.20/0.45  percentage of distinct symbols occuring in initial UL: 92
% 0.20/0.45  percent of all initial clauses that are short: 100
% 0.20/0.45  absolute distinct symbol count: 39
% 0.20/0.45     distinct predicate count: 12
% 0.20/0.45     distinct function count: 20
% 0.20/0.45     distinct constant count: 7
% 0.20/0.45  
% 0.20/0.45  ---------- no more Softie stats ----------
% 0.20/0.45  
% 0.20/0.45  
% 0.20/0.45  
% 0.20/0.45  =========== start of search ===========
% 3.81/4.03  
% 3.81/4.03  
% 3.81/4.03  Changing weight limit from 60 to 56.
% 3.81/4.03  
% 3.81/4.03  Resetting weight limit to 56 after 230 givens.
% 3.81/4.03  
% 4.28/4.46  
% 4.28/4.46  
% 4.28/4.46  Changing weight limit from 56 to 55.
% 4.28/4.46  
% 4.28/4.46  Resetting weight limit to 55 after 235 givens.
% 4.28/4.46  
% 5.41/5.63  
% 5.41/5.63  
% 5.41/5.63  Changing weight limit from 55 to 54.
% 5.41/5.63  
% 5.41/5.63  Resetting weight limit to 54 after 250 givens.
% 5.41/5.63  
% 6.54/6.76  
% 6.54/6.76  
% 6.54/6.76  Changing weight limit from 54 to 51.
% 6.54/6.76  
% 6.54/6.76  Resetting weight limit to 51 after 260 givens.
% 6.54/6.76  
% 6.81/7.05  
% 6.81/7.05  
% 6.81/7.05  Changing weight limit from 51 to 50.
% 6.81/7.05  
% 6.81/7.05  Resetting weight limit to 50 after 265 givens.
% 6.81/7.05  
% 8.29/8.48  
% 8.29/8.48  
% 8.29/8.48  Changing weight limit from 50 to 49.
% 8.29/8.48  
% 8.29/8.48  Resetting weight limit to 49 after 280 givens.
% 8.29/8.48  
% 9.27/9.47  
% 9.27/9.47  
% 9.27/9.47  Changing weight limit from 49 to 44.
% 9.27/9.47  
% 9.27/9.47  Resetting weight limit to 44 after 285 givens.
% 9.27/9.47  
% 9.84/10.08  
% 9.84/10.08  
% 9.84/10.08  Changing weight limit from 44 to 36.
% 9.84/10.08  
% 9.84/10.08  Resetting weight limit to 36 after 290 givens.
% 9.84/10.08  
% 10.54/10.75  
% 10.54/10.75  
% 10.54/10.75  Changing weight limit from 36 to 35.
% 10.54/10.75  
% 10.54/10.75  Resetting weight limit to 35 after 295 givens.
% 10.54/10.75  
% 11.15/11.36  
% 11.15/11.36  
% 11.15/11.36  Changing weight limit from 35 to 30.
% 11.15/11.36  
% 11.15/11.36  Modelling stopped after 300 given clauses and 0.00 seconds
% 11.15/11.36  
% 11.15/11.36  
% 11.15/11.36  Resetting weight limit to 30 after 300 givens.
% 11.15/11.36  
% 12.62/12.82  
% 12.62/12.82  
% 12.62/12.82  Changing weight limit from 30 to 29.
% 12.62/12.82  
% 12.62/12.82  Resetting weight limit to 29 after 335 givens.
% 12.62/12.82  
% 13.23/13.47  
% 13.23/13.47  
% 13.23/13.47  Changing weight limit from 29 to 23.
% 13.23/13.47  
% 13.23/13.47  Resetting weight limit to 23 after 450 givens.
% 13.23/13.47  
% 13.29/13.52  
% 13.29/13.52  
% 13.29/13.52  Changing weight limit from 23 to 22.
% 13.29/13.52  
% 13.29/13.52  Resetting weight limit to 22 after 475 givens.
% 13.29/13.52  
% 13.29/13.53  
% 13.29/13.53  
% 13.29/13.53  Changing weight limit from 22 to 21.
% 13.29/13.53  
% 13.29/13.53  Resetting weight limit to 21 after 480 givens.
% 13.29/13.53  
% 13.29/13.55  
% 13.29/13.55  
% 13.29/13.55  Changing weight limit from 21 to 17.
% 13.29/13.55  
% 13.29/13.55  Resetting weight limit to 17 after 490 givens.
% 13.29/13.55  
% 13.43/13.70  
% 13.43/13.70  
% 13.43/13.70  Changing weight limit from 17 to 11.
% 13.43/13.70  
% 13.43/13.70  Resetting weight limit to 11 after 500 givens.
% 13.43/13.70  
% 13.53/13.76  
% 13.53/13.76  
% 13.53/13.76  Changing weight limit from 11 to 10.
% 13.53/13.76  
% 13.53/13.76  Resetting weight limit to 10 after 510 givens.
% 13.53/13.76  
% 14.95/15.13  
% 14.95/15.13  
% 14.95/15.13  Changing weight limit from 10 to 9.
% 14.95/15.13  
% 14.95/15.13  Resetting weight limit to 9 after 605 givens.
% 14.95/15.13  
% 15.59/15.84  
% 15.59/15.84  -- HEY sandbox2, WE HAVE A PROOF!! -- 
% 15.59/15.84  
% 15.59/15.84  ----> UNIT CONFLICT at  15.40 sec ----> 33612 [binary,33611.1,113.1] {-} $F.
% 15.59/15.84  
% 15.59/15.84  Length of proof is 110.  Level of proof is 18.
% 15.59/15.84  
% 15.59/15.84  ---------------- PROOF ----------------
% 15.59/15.84  % SZS status Theorem
% 15.59/15.84  % SZS output start Refutation
% 15.59/15.84  
% 15.59/15.84  1 [] {+} -coll(A,B,C)|coll(A,C,B).
% 15.59/15.84  2 [] {+} -coll(A,B,C)|coll(B,A,C).
% 15.59/15.84  3 [] {+} -coll(A,B,C)| -coll(A,B,D)|coll(C,D,A).
% 15.59/15.84  4 [] {+} -para(A,B,C,D)|para(A,B,D,C).
% 15.59/15.84  5 [] {+} -para(A,B,C,D)|para(C,D,A,B).
% 15.59/15.84  6 [] {+} -para(A,B,C,D)| -para(C,D,E,F)|para(A,B,E,F).
% 15.59/15.84  11 [] {+} -midp(A,B,C)|midp(A,C,B).
% 15.59/15.84  25 [] {+} -cong(A,B,C,D)| -cong(C,D,E,F)|cong(A,B,E,F).
% 15.59/15.84  45 [] {+} -midp(A,B,C)| -midp(D,B,E)|para(A,D,C,E).
% 15.59/15.84  46 [] {+} -midp(A,B,C)| -para(A,D,C,E)| -coll(D,B,E)|midp(D,B,E).
% 15.59/15.84  64 [] {+} -midp(A,B,C)| -midp(A,D,E)|para(B,D,C,E).
% 15.59/15.84  65 [] {+} -midp(A,B,C)| -para(B,D,C,E)| -para(B,E,C,D)|midp(A,D,E).
% 15.59/15.84  67 [] {+} -para(A,B,A,C)|coll(A,B,C).
% 15.59/15.84  68 [] {+} -cong(A,B,A,C)| -coll(A,B,C)|midp(A,B,C).
% 15.59/15.84  69 [] {+} -midp(A,B,C)|cong(A,B,A,C).
% 15.59/15.84  70 [] {+} -midp(A,B,C)|coll(A,B,C).
% 15.59/15.84  113 [] {+} -para($c5,$c3,$c1,$c6).
% 15.59/15.84  114 [factor,3.1.2] {+} -coll(A,B,C)|coll(C,C,A).
% 15.59/15.84  128 [factor,64.1.2] {+} -midp(A,B,C)|para(B,B,C,C).
% 15.59/15.84  129 [factor,65.2.3] {+} -midp(A,B,C)| -para(B,D,C,D)|midp(A,D,D).
% 15.59/15.84  159 [] {-} midp($c4,$c7,$c5).
% 15.59/15.84  160 [] {-} midp($c3,$c6,$c7).
% 15.59/15.84  161 [] {-} midp($c2,$c5,$c6).
% 15.59/15.84  162 [] {-} para($c7,$c2,$c1,$c4).
% 15.59/15.84  163 [] {-} para($c7,$c5,$c1,$c2).
% 15.59/15.84  171 [hyper,159,70] {-} coll($c4,$c7,$c5).
% 15.59/15.84  172 [hyper,159,69] {-} cong($c4,$c7,$c4,$c5).
% 15.59/15.84  173 [hyper,159,11] {-} midp($c4,$c5,$c7).
% 15.59/15.84  200 [hyper,160,70] {-} coll($c3,$c6,$c7).
% 15.59/15.84  201 [hyper,160,69] {-} cong($c3,$c6,$c3,$c7).
% 15.59/15.84  202 [hyper,160,11] {-} midp($c3,$c7,$c6).
% 15.59/15.84  237 [hyper,161,70] {-} coll($c2,$c5,$c6).
% 15.59/15.84  239 [hyper,161,11] {-} midp($c2,$c6,$c5).
% 15.59/15.84  252 [hyper,171,114] {-} coll($c5,$c5,$c4).
% 15.59/15.84  253 [hyper,171,2] {-} coll($c7,$c4,$c5).
% 15.59/15.84  254 [hyper,171,1] {-} coll($c4,$c5,$c7).
% 15.59/15.84  268 [hyper,162,5] {-} para($c1,$c4,$c7,$c2).
% 15.59/15.84  269 [hyper,162,4] {-} para($c7,$c2,$c4,$c1).
% 15.59/15.84  316 [hyper,173,69] {-} cong($c4,$c5,$c4,$c7).
% 15.59/15.84  317 [hyper,173,64,159] {-} para($c7,$c5,$c5,$c7).
% 15.59/15.84  318 [hyper,173,64,159] {-} para($c5,$c7,$c7,$c5).
% 15.59/15.84  320 [hyper,173,45,161] {-} para($c4,$c2,$c7,$c6).
% 15.59/15.84  334 [hyper,200,2] {-} coll($c6,$c3,$c7).
% 15.59/15.84  335 [hyper,200,1] {-} coll($c3,$c7,$c6).
% 15.59/15.84  386 [hyper,202,69] {-} cong($c3,$c7,$c3,$c6).
% 15.59/15.84  389 [hyper,202,45,159] {-} para($c4,$c3,$c5,$c6).
% 15.59/15.84  390 [hyper,202,45,159] {-} para($c3,$c4,$c6,$c5).
% 15.59/15.84  404 [hyper,237,2] {-} coll($c5,$c2,$c6).
% 15.59/15.84  405 [hyper,237,1] {-} coll($c2,$c6,$c5).
% 15.59/15.84  419 [hyper,163,5] {-} para($c1,$c2,$c7,$c5).
% 15.59/15.84  420 [hyper,163,4] {-} para($c7,$c5,$c2,$c1).
% 15.59/15.84  441 [hyper,239,128] {-} para($c6,$c6,$c5,$c5).
% 15.59/15.84  485 [hyper,239,64,161] {-} para($c6,$c5,$c5,$c6).
% 15.59/15.84  500 [hyper,252,114] {-} coll($c4,$c4,$c5).
% 15.59/15.84  501 [hyper,252,1] {-} coll($c5,$c4,$c5).
% 15.59/15.84  514 [hyper,253,114] {-} coll($c5,$c5,$c7).
% 15.59/15.84  515 [hyper,253,1] {-} coll($c7,$c5,$c4).
% 15.59/15.84  528 [hyper,254,114] {-} coll($c7,$c7,$c4).
% 15.59/15.84  598 [hyper,334,114] {-} coll($c7,$c7,$c6).
% 15.59/15.84  599 [hyper,334,1] {-} coll($c6,$c7,$c3).
% 15.59/15.84  612 [hyper,335,114] {-} coll($c6,$c6,$c3).
% 15.59/15.84  682 [hyper,404,114] {-} coll($c6,$c6,$c5).
% 15.59/15.84  696 [hyper,405,114] {-} coll($c5,$c5,$c2).
% 15.59/15.84  710 [hyper,500,1] {-} coll($c4,$c5,$c4).
% 15.59/15.84  846 [hyper,515,114] {-} coll($c4,$c4,$c7).
% 15.59/15.84  862 [hyper,528,1] {-} coll($c7,$c4,$c7).
% 15.59/15.84  952 [hyper,598,3,528] {-} coll($c6,$c4,$c7).
% 15.59/15.84  999 [hyper,612,1] {-} coll($c6,$c3,$c6).
% 15.59/15.84  1073 [hyper,682,114] {-} coll($c5,$c5,$c6).
% 15.59/15.84  1103 [hyper,696,3,514] {-} coll($c7,$c2,$c5).
% 15.59/15.84  1104 [hyper,696,3,252] {-} coll($c4,$c2,$c5).
% 15.59/15.84  1105 [hyper,696,3,514] {-} coll($c2,$c7,$c5).
% 15.59/15.84  1106 [hyper,696,3,252] {-} coll($c2,$c4,$c5).
% 15.59/15.84  1442 [hyper,862,2] {-} coll($c4,$c7,$c7).
% 15.59/15.84  1709 [hyper,952,1] {-} coll($c6,$c7,$c4).
% 15.59/15.84  1843 [hyper,999,2] {-} coll($c3,$c6,$c6).
% 15.59/15.84  1972 [hyper,1073,3,252] {-} coll($c4,$c6,$c5).
% 15.59/15.84  2164 [hyper,1103,1] {-} coll($c7,$c5,$c2).
% 15.59/15.84  2177 [hyper,1104,1] {-} coll($c4,$c5,$c2).
% 15.59/15.84  2197 [hyper,1105,1] {-} coll($c2,$c5,$c7).
% 15.59/15.84  2251 [hyper,1106,1] {-} coll($c2,$c5,$c4).
% 15.59/15.84  2987 [hyper,1709,3,599] {-} coll($c3,$c4,$c6).
% 15.59/15.84  3510 [hyper,2164,3,515] {-} coll($c2,$c4,$c7).
% 15.59/15.84  3527 [hyper,2177,3,254] {-} coll($c7,$c2,$c4).
% 15.59/15.84  3559 [hyper,2251,114] {-} coll($c4,$c4,$c2).
% 15.59/15.84  6606 [hyper,268,6,162] {-} para($c7,$c2,$c7,$c2).
% 15.59/15.84  6607 [hyper,268,6,162] {-} para($c1,$c4,$c1,$c4).
% 15.59/15.84  6608 [hyper,268,4] {-} para($c1,$c4,$c2,$c7).
% 15.59/15.84  6667 [hyper,269,5] {-} para($c4,$c1,$c7,$c2).
% 15.59/15.84  6878 [hyper,316,25,172] {-} cong($c4,$c7,$c4,$c7).
% 15.59/15.84  7109 [hyper,318,6,317] {-} para($c5,$c7,$c5,$c7).
% 15.59/15.84  7304 [hyper,320,4] {-} para($c4,$c2,$c6,$c7).
% 15.59/15.84  7536 [hyper,386,25,201] {-} cong($c3,$c6,$c3,$c6).
% 15.59/15.84  7957 [hyper,420,6,419] {-} para($c1,$c2,$c2,$c1).
% 15.59/15.84  7961 [hyper,420,5] {-} para($c2,$c1,$c7,$c5).
% 15.59/15.84  9892 [hyper,6607,67] {-} coll($c1,$c4,$c4).
% 15.59/15.84  9938 [hyper,9892,114] {-} coll($c4,$c4,$c1).
% 15.59/15.84  9953 [hyper,9938,3,3559] {-} coll($c2,$c1,$c4).
% 15.59/15.84  9957 [hyper,9938,3,500] {-} coll($c5,$c1,$c4).
% 15.59/15.84  9958 [hyper,9938,3,3559] {-} coll($c1,$c2,$c4).
% 15.59/15.84  9961 [hyper,9938,3,846] {-} coll($c1,$c7,$c4).
% 15.59/15.84  9985 [hyper,9953,1] {-} coll($c2,$c4,$c1).
% 15.59/15.84  10016 [hyper,9957,1] {-} coll($c5,$c4,$c1).
% 15.59/15.84  10035 [hyper,9958,1] {-} coll($c1,$c4,$c2).
% 15.59/15.84  10071 [hyper,9961,1] {-} coll($c1,$c4,$c7).
% 15.59/15.84  10119 [hyper,9985,3,3510] {-} coll($c1,$c7,$c2).
% 15.59/15.84  10185 [hyper,10016,114] {-} coll($c1,$c1,$c5).
% 15.59/15.84  10196 [hyper,10016,3,501] {-} coll($c1,$c5,$c5).
% 15.59/15.84  10204 [hyper,10035,114] {-} coll($c2,$c2,$c1).
% 15.59/15.84  10294 [hyper,10071,3,10035] {-} coll($c2,$c7,$c1).
% 15.59/15.84  12530 [hyper,6608,5] {-} para($c2,$c7,$c1,$c4).
% 15.59/15.84  13301 [hyper,6878,68,1442] {-} midp($c4,$c7,$c7).
% 15.59/15.84  13400 [hyper,13301,46,6667,10119] {-} midp($c1,$c7,$c2).
% 15.59/15.84  15554 [hyper,7536,68,1843] {-} midp($c3,$c6,$c6).
% 15.59/15.84  15662 [hyper,15554,46,390,1972] {-} midp($c4,$c6,$c5).
% 15.59/15.84  15770 [hyper,15662,65,485,441] {-} midp($c4,$c5,$c6).
% 15.59/15.84  15897 [hyper,15770,46,7304,2197] {-} midp($c2,$c5,$c7).
% 15.59/15.84  18405 [hyper,7957,46,13400,10294] {-} midp($c2,$c7,$c1).
% 15.59/15.84  18591 [hyper,18405,11] {-} midp($c2,$c1,$c7).
% 15.59/15.84  20490 [hyper,7961,46,18591,10185] {-} midp($c1,$c1,$c5).
% 15.59/15.84  20491 [hyper,7961,46,15897,10196] {-} midp($c1,$c5,$c5).
% 15.59/15.84  20682 [hyper,20490,11] {-} midp($c1,$c5,$c1).
% 15.59/15.84  20684 [hyper,20491,129,7109] {-} midp($c1,$c7,$c7).
% 15.59/15.84  21284 [hyper,20682,46,6607,710] {-} midp($c4,$c5,$c4).
% 15.59/15.84  21315 [hyper,20684,129,6606] {-} midp($c1,$c2,$c2).
% 15.59/15.84  22020 [hyper,21284,11] {-} midp($c4,$c4,$c5).
% 15.59/15.84  22463 [hyper,21315,46,7957,10204] {-} midp($c2,$c2,$c1).
% 15.59/15.84  22958 [hyper,22020,46,389,2987] {-} midp($c3,$c4,$c6).
% 15.59/15.84  29165 [hyper,12530,46,22463,3527] {-} midp($c7,$c2,$c4).
% 15.59/15.84  29775 [hyper,29165,11] {-} midp($c7,$c4,$c2).
% 15.59/15.84  31392 [hyper,29775,46,420,10016] {-} midp($c5,$c4,$c1).
% 15.59/15.84  33611 [hyper,31392,45,22958] {-} para($c5,$c3,$c1,$c6).
% 15.59/15.84  33612 [binary,33611.1,113.1] {-} $F.
% 15.59/15.84  
% 15.59/15.84  % SZS output end Refutation
% 15.59/15.84  ------------ end of proof -------------
% 15.59/15.84  
% 15.59/15.84  
% 15.59/15.84  Search stopped by max_proofs option.
% 15.59/15.84  
% 15.59/15.84  
% 15.59/15.84  Search stopped by max_proofs option.
% 15.59/15.84  
% 15.59/15.84  ============ end of search ============
% 15.59/15.84  
% 15.59/15.84  That finishes the proof of the theorem.
% 15.59/15.84  
% 15.59/15.84  Process 30316 finished Sat Jun 18 13:23:29 2022
%------------------------------------------------------------------------------