TSTP Solution File: GEO618+1 by SOS---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SOS---2.0
% Problem : GEO618+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : sos-script %s
% Computer : n023.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 06:21:10 EDT 2022
% Result : Theorem 33.92s 34.16s
% Output : Refutation 33.92s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : GEO618+1 : TPTP v8.1.0. Released v7.5.0.
% 0.06/0.13 % Command : sos-script %s
% 0.12/0.34 % Computer : n023.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Sat Jun 18 07:14:19 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.12/0.37 ----- Otter 3.2, August 2001 -----
% 0.12/0.37 The process was started by sandbox on n023.cluster.edu,
% 0.12/0.37 Sat Jun 18 07:14:19 2022
% 0.12/0.37 The command was "./sos". The process ID is 1905.
% 0.12/0.37
% 0.12/0.37 set(prolog_style_variables).
% 0.12/0.37 set(auto).
% 0.12/0.37 dependent: set(auto1).
% 0.12/0.37 dependent: set(process_input).
% 0.12/0.37 dependent: clear(print_kept).
% 0.12/0.37 dependent: clear(print_new_demod).
% 0.12/0.37 dependent: clear(print_back_demod).
% 0.12/0.37 dependent: clear(print_back_sub).
% 0.12/0.37 dependent: set(control_memory).
% 0.12/0.37 dependent: assign(max_mem, 12000).
% 0.12/0.37 dependent: assign(pick_given_ratio, 4).
% 0.12/0.37 dependent: assign(stats_level, 1).
% 0.12/0.37 dependent: assign(pick_semantic_ratio, 3).
% 0.12/0.37 dependent: assign(sos_limit, 5000).
% 0.12/0.37 dependent: assign(max_weight, 60).
% 0.12/0.37 clear(print_given).
% 0.12/0.37
% 0.12/0.37 formula_list(usable).
% 0.12/0.37
% 0.12/0.37 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=5.
% 0.12/0.37
% 0.12/0.37 This ia a non-Horn set with equality. The strategy will be
% 0.12/0.37 Knuth-Bendix, ordered hyper_res, ur_res, factoring, and
% 0.12/0.37 unit deletion, with positive clauses in sos and nonpositive
% 0.12/0.37 clauses in usable.
% 0.12/0.37
% 0.12/0.37 dependent: set(knuth_bendix).
% 0.12/0.37 dependent: set(para_from).
% 0.12/0.37 dependent: set(para_into).
% 0.12/0.37 dependent: clear(para_from_right).
% 0.12/0.37 dependent: clear(para_into_right).
% 0.12/0.37 dependent: set(para_from_vars).
% 0.12/0.37 dependent: set(eq_units_both_ways).
% 0.12/0.37 dependent: set(dynamic_demod_all).
% 0.12/0.37 dependent: set(dynamic_demod).
% 0.12/0.37 dependent: set(order_eq).
% 0.12/0.37 dependent: set(back_demod).
% 0.12/0.37 dependent: set(lrpo).
% 0.12/0.37 dependent: set(hyper_res).
% 0.12/0.37 dependent: set(unit_deletion).
% 0.12/0.37 dependent: set(factor).
% 0.12/0.37
% 0.12/0.37 ------------> process usable:
% 0.12/0.37 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).
% 0.12/0.37
% 0.12/0.37 ------------> process sos:
% 0.12/0.37 Following clause subsumed by 164 during input processing: 0 [copy,164,flip.1] {-} A=A.
% 0.12/0.37 164 back subsumes 146.
% 0.12/0.37 164 back subsumes 145.
% 0.12/0.37 164 back subsumes 144.
% 0.12/0.37 164 back subsumes 143.
% 0.12/0.37
% 0.12/0.37 ======= end of input processing =======
% 0.19/0.43
% 0.19/0.43
% 0.19/0.43 Failed to model usable list: disabling FINDER
% 0.19/0.43
% 0.19/0.43
% 0.19/0.43
% 0.19/0.43 -------------- Softie stats --------------
% 0.19/0.43
% 0.19/0.43 UPDATE_STOP: 300
% 0.19/0.43 SFINDER_TIME_LIMIT: 2
% 0.19/0.43 SHORT_CLAUSE_CUTOFF: 4
% 0.19/0.43 number of clauses in intial UL: 154
% 0.19/0.43 number of clauses initially in problem: 160
% 0.19/0.43 percentage of clauses intially in UL: 96
% 0.19/0.43 percentage of distinct symbols occuring in initial UL: 92
% 0.19/0.43 percent of all initial clauses that are short: 100
% 0.19/0.43 absolute distinct symbol count: 38
% 0.19/0.43 distinct predicate count: 12
% 0.19/0.43 distinct function count: 20
% 0.19/0.43 distinct constant count: 6
% 0.19/0.43
% 0.19/0.43 ---------- no more Softie stats ----------
% 0.19/0.43
% 0.19/0.43
% 0.19/0.43
% 0.19/0.43 =========== start of search ===========
% 13.44/13.65
% 13.44/13.65
% 13.44/13.65 Changing weight limit from 60 to 59.
% 13.44/13.65
% 13.44/13.65 Resetting weight limit to 59 after 235 givens.
% 13.44/13.65
% 16.01/16.24
% 16.01/16.24
% 16.01/16.24 Changing weight limit from 59 to 56.
% 16.01/16.24
% 16.01/16.24 Resetting weight limit to 56 after 250 givens.
% 16.01/16.24
% 16.33/16.51
% 16.33/16.51
% 16.33/16.51 Changing weight limit from 56 to 55.
% 16.33/16.51
% 16.33/16.51 Resetting weight limit to 55 after 255 givens.
% 16.33/16.51
% 24.71/24.95
% 24.71/24.95
% 24.71/24.95 Changing weight limit from 55 to 54.
% 24.71/24.95
% 24.71/24.95 Resetting weight limit to 54 after 290 givens.
% 24.71/24.95
% 26.71/26.90
% 26.71/26.90
% 26.71/26.90 Changing weight limit from 54 to 51.
% 26.71/26.90
% 26.71/26.90 Resetting weight limit to 51 after 295 givens.
% 26.71/26.90
% 27.43/27.70
% 27.43/27.70
% 27.43/27.70 Changing weight limit from 51 to 50.
% 27.43/27.70
% 27.43/27.70 Modelling stopped after 300 given clauses and 0.00 seconds
% 27.43/27.70
% 27.43/27.70
% 27.43/27.70 Resetting weight limit to 50 after 300 givens.
% 27.43/27.70
% 28.32/28.52
% 28.32/28.52
% 28.32/28.52 Changing weight limit from 50 to 49.
% 28.32/28.52
% 28.32/28.52 Resetting weight limit to 49 after 305 givens.
% 28.32/28.52
% 29.02/29.23
% 29.02/29.23
% 29.02/29.23 Changing weight limit from 49 to 45.
% 29.02/29.23
% 29.02/29.23 Resetting weight limit to 45 after 310 givens.
% 29.02/29.23
% 29.68/29.92
% 29.68/29.92
% 29.68/29.92 Changing weight limit from 45 to 31.
% 29.68/29.92
% 29.68/29.92 Resetting weight limit to 31 after 315 givens.
% 29.68/29.92
% 29.83/30.11
% 29.83/30.11
% 29.83/30.11 Changing weight limit from 31 to 30.
% 29.83/30.11
% 29.83/30.11 Resetting weight limit to 30 after 320 givens.
% 29.83/30.11
% 31.14/31.39
% 31.14/31.39
% 31.14/31.39 Changing weight limit from 30 to 29.
% 31.14/31.39
% 31.14/31.39 Resetting weight limit to 29 after 370 givens.
% 31.14/31.39
% 31.71/31.92
% 31.71/31.92
% 31.71/31.92 Changing weight limit from 29 to 26.
% 31.71/31.92
% 31.71/31.92 Resetting weight limit to 26 after 420 givens.
% 31.71/31.92
% 31.71/31.93
% 31.71/31.93
% 31.71/31.93 Changing weight limit from 26 to 18.
% 31.71/31.93
% 31.71/31.93 Resetting weight limit to 18 after 425 givens.
% 31.71/31.93
% 31.84/32.03
% 31.84/32.03
% 31.84/32.03 Changing weight limit from 18 to 17.
% 31.84/32.03
% 31.84/32.03 Resetting weight limit to 17 after 505 givens.
% 31.84/32.03
% 31.84/32.05
% 31.84/32.05
% 31.84/32.05 Changing weight limit from 17 to 16.
% 31.84/32.05
% 31.84/32.05 Resetting weight limit to 16 after 520 givens.
% 31.84/32.05
% 31.84/32.07
% 31.84/32.07
% 31.84/32.07 Changing weight limit from 16 to 14.
% 31.84/32.07
% 31.84/32.07 Resetting weight limit to 14 after 545 givens.
% 31.84/32.07
% 32.14/32.33
% 32.14/32.33
% 32.14/32.33 Changing weight limit from 14 to 12.
% 32.14/32.33
% 32.14/32.33 Resetting weight limit to 12 after 820 givens.
% 32.14/32.33
% 32.14/32.35
% 32.14/32.35
% 32.14/32.35 Changing weight limit from 12 to 11.
% 32.14/32.35
% 32.14/32.35 Resetting weight limit to 11 after 825 givens.
% 32.14/32.35
% 32.20/32.39
% 32.20/32.39
% 32.20/32.39 Changing weight limit from 11 to 10.
% 32.20/32.39
% 32.20/32.39 Resetting weight limit to 10 after 835 givens.
% 32.20/32.39
% 33.32/33.60
% 33.32/33.60
% 33.32/33.60 Changing weight limit from 10 to 9.
% 33.32/33.60
% 33.32/33.60 Resetting weight limit to 9 after 1285 givens.
% 33.32/33.60
% 33.92/34.16
% 33.92/34.16 -- HEY sandbox, WE HAVE A PROOF!! --
% 33.92/34.16
% 33.92/34.16 ----> UNIT CONFLICT at 33.69 sec ----> 40347 [binary,40346.1,113.1] {-} $F.
% 33.92/34.16
% 33.92/34.16 Length of proof is 96. Level of proof is 20.
% 33.92/34.16
% 33.92/34.16 ---------------- PROOF ----------------
% 33.92/34.16 % SZS status Theorem
% 33.92/34.16 % SZS output start Refutation
% 33.92/34.16
% 33.92/34.16 1 [] {+} -coll(A,B,C)|coll(A,C,B).
% 33.92/34.16 2 [] {+} -coll(A,B,C)|coll(B,A,C).
% 33.92/34.16 3 [] {+} -coll(A,B,C)| -coll(A,B,D)|coll(C,D,A).
% 33.92/34.16 4 [] {+} -para(A,B,C,D)|para(A,B,D,C).
% 33.92/34.16 5 [] {+} -para(A,B,C,D)|para(C,D,A,B).
% 33.92/34.16 6 [] {+} -para(A,B,C,D)| -para(C,D,E,F)|para(A,B,E,F).
% 33.92/34.16 7 [] {+} -perp(A,B,C,D)|perp(A,B,D,C).
% 33.92/34.16 8 [] {+} -perp(A,B,C,D)|perp(C,D,A,B).
% 33.92/34.16 9 [] {+} -perp(A,B,C,D)| -perp(C,D,E,F)|para(A,B,E,F).
% 33.92/34.16 11 [] {+} -midp(A,B,C)|midp(A,C,B).
% 33.92/34.16 14 [] {+} -cyclic(A,B,C,D)|cyclic(A,B,D,C).
% 33.92/34.16 15 [] {+} -cyclic(A,B,C,D)|cyclic(A,C,B,D).
% 33.92/34.16 19 [] {+} -eqangle(A,B,C,D,E,F,G,H)|eqangle(C,D,A,B,G,H,E,F).
% 33.92/34.16 21 [] {+} -eqangle(A,B,C,D,E,F,G,H)|eqangle(A,B,E,F,C,D,G,H).
% 33.92/34.16 25 [] {+} -cong(A,B,C,D)| -cong(C,D,E,F)|cong(A,B,E,F).
% 33.92/34.16 39 [] {+} -eqangle(A,B,C,D,E,F,C,D)|para(A,B,E,F).
% 33.92/34.16 40 [] {+} -para(A,B,C,D)|eqangle(A,B,E,F,C,D,E,F).
% 33.92/34.16 43 [] {+} -eqangle(A,B,A,C,D,B,D,C)| -coll(A,D,C)|cyclic(B,C,A,D).
% 33.92/34.16 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).
% 33.92/34.16 45 [] {+} -midp(A,B,C)| -midp(D,B,E)|para(A,D,C,E).
% 33.92/34.16 46 [] {+} -midp(A,B,C)| -para(A,D,C,E)| -coll(D,B,E)|midp(D,B,E).
% 33.92/34.16 56 [] {+} -midp(A,B,C)| -perp(D,A,B,C)|cong(D,B,D,C).
% 33.92/34.16 64 [] {+} -midp(A,B,C)| -midp(A,D,E)|para(B,D,C,E).
% 33.92/34.16 65 [] {+} -midp(A,B,C)| -para(B,D,C,E)| -para(B,E,C,D)|midp(A,D,E).
% 33.92/34.16 67 [] {+} -para(A,B,A,C)|coll(A,B,C).
% 33.92/34.16 68 [] {+} -cong(A,B,A,C)| -coll(A,B,C)|midp(A,B,C).
% 33.92/34.16 69 [] {+} -midp(A,B,C)|cong(A,B,A,C).
% 33.92/34.16 73 [] {+} -eqangle(A,B,C,D,E,F,G,H)| -para(E,F,G,H)|para(A,B,C,D).
% 33.92/34.16 113 [] {+} -cong($c1,$c6,$c1,$c3).
% 33.92/34.16 114 [factor,3.1.2] {+} -coll(A,B,C)|coll(C,C,A).
% 33.92/34.16 123 [factor,44.2.3] {+} -cyclic(A,B,C,D)| -cyclic(A,B,C,E)| -eqangle(C,A,C,B,E,D,E,E)|cong(A,B,D,E).
% 33.92/34.16 128 [factor,64.1.2] {+} -midp(A,B,C)|para(B,B,C,C).
% 33.92/34.16 129 [factor,65.2.3] {+} -midp(A,B,C)| -para(B,D,C,D)|midp(A,D,D).
% 33.92/34.16 159 [] {-} eqangle($c3,$c6,$c6,$c4,$c3,$c6,$c6,$c5).
% 33.92/34.16 160 [] {-} coll($c3,$c5,$c4).
% 33.92/34.16 162 [] {-} perp($c6,$c2,$c6,$c1).
% 33.92/34.16 163 [] {-} coll($c1,$c5,$c4).
% 33.92/34.16 165 [hyper,159,21] {-} eqangle($c3,$c6,$c3,$c6,$c6,$c4,$c6,$c5).
% 33.92/34.16 167 [hyper,159,19] {-} eqangle($c6,$c4,$c3,$c6,$c6,$c5,$c3,$c6).
% 33.92/34.16 201 [hyper,160,114] {-} coll($c4,$c4,$c3).
% 33.92/34.16 203 [hyper,160,1] {-} coll($c3,$c4,$c5).
% 33.92/34.16 216 [hyper,163,114] {-} coll($c4,$c4,$c1).
% 33.92/34.16 218 [hyper,163,1] {-} coll($c1,$c4,$c5).
% 33.92/34.16 231 [hyper,201,114] {-} coll($c3,$c3,$c4).
% 33.92/34.16 276 [hyper,203,114] {-} coll($c5,$c5,$c3).
% 33.92/34.16 292 [hyper,216,3,201] {-} coll($c1,$c3,$c4).
% 33.92/34.16 323 [hyper,162,8] {-} perp($c6,$c1,$c6,$c2).
% 33.92/34.16 324 [hyper,162,7] {-} perp($c6,$c2,$c1,$c6).
% 33.92/34.16 341 [hyper,218,114] {-} coll($c5,$c5,$c1).
% 33.92/34.16 355 [hyper,231,1] {-} coll($c3,$c4,$c3).
% 33.92/34.16 533 [hyper,292,1] {-} coll($c1,$c4,$c3).
% 33.92/34.16 575 [hyper,167,39] {-} para($c6,$c4,$c6,$c5).
% 33.92/34.16 636 [hyper,355,3,203] {-} coll($c3,$c5,$c3).
% 33.92/34.16 1091 [hyper,533,3,218] {-} coll($c3,$c5,$c1).
% 33.92/34.16 2446 [hyper,323,9,162] {-} para($c6,$c2,$c6,$c2).
% 33.92/34.16 2447 [hyper,323,9,162] {-} para($c6,$c1,$c6,$c1).
% 33.92/34.16 2448 [hyper,323,7] {-} perp($c6,$c1,$c2,$c6).
% 33.92/34.16 2465 [hyper,324,9,323] {-} para($c6,$c1,$c1,$c6).
% 33.92/34.16 2466 [hyper,324,8] {-} perp($c1,$c6,$c6,$c2).
% 33.92/34.16 2483 [hyper,575,73,165] {-} para($c3,$c6,$c3,$c6).
% 33.92/34.16 2484 [hyper,575,67] {-} coll($c6,$c4,$c5).
% 33.92/34.16 2578 [hyper,2484,114] {-} coll($c5,$c5,$c6).
% 33.92/34.16 2593 [hyper,2578,114] {-} coll($c6,$c6,$c5).
% 33.92/34.16 2595 [hyper,2578,3,341] {-} coll($c1,$c6,$c5).
% 33.92/34.16 2596 [hyper,2578,3,276] {-} coll($c3,$c6,$c5).
% 33.92/34.16 2598 [hyper,2578,3,341] {-} coll($c6,$c1,$c5).
% 33.92/34.16 2773 [hyper,2593,1] {-} coll($c6,$c5,$c6).
% 33.92/34.16 2798 [hyper,2595,1] {-} coll($c1,$c5,$c6).
% 33.92/34.16 2811 [hyper,2596,1] {-} coll($c3,$c5,$c6).
% 33.92/34.16 2895 [hyper,2598,1] {-} coll($c6,$c5,$c1).
% 33.92/34.16 3080 [hyper,2773,114] {-} coll($c6,$c6,$c6).
% 33.92/34.16 3096 [hyper,2798,114] {-} coll($c6,$c6,$c1).
% 33.92/34.16 3175 [hyper,2811,114] {-} coll($c6,$c6,$c3).
% 33.92/34.16 3176 [hyper,2811,3,1091] {-} coll($c1,$c6,$c3).
% 33.92/34.16 3178 [hyper,2811,3,636] {-} coll($c3,$c6,$c3).
% 33.92/34.16 3211 [hyper,2895,3,2773] {-} coll($c1,$c6,$c6).
% 33.92/34.16 4539 [hyper,2446,67] {-} coll($c6,$c2,$c2).
% 33.92/34.16 4540 [hyper,2446,40] {-} eqangle($c6,$c2,A,B,$c6,$c2,A,B).
% 33.92/34.16 4541 [hyper,2446,4] {-} para($c6,$c2,$c2,$c6).
% 33.92/34.16 4558 [hyper,4539,114] {-} coll($c2,$c2,$c6).
% 33.92/34.16 4560 [hyper,4539,2] {-} coll($c2,$c6,$c2).
% 33.92/34.16 4573 [hyper,4558,114] {-} coll($c6,$c6,$c2).
% 33.92/34.16 4633 [hyper,4573,3,3175] {-} coll($c3,$c2,$c6).
% 33.92/34.16 4634 [hyper,4573,3,3096] {-} coll($c1,$c2,$c6).
% 33.92/34.16 4635 [hyper,4573,3,3080] {-} coll($c6,$c2,$c6).
% 33.92/34.16 4638 [hyper,4573,3,3175] {-} coll($c2,$c3,$c6).
% 33.92/34.16 4640 [hyper,4573,3,3080] {-} coll($c2,$c6,$c6).
% 33.92/34.16 4667 [hyper,4633,1] {-} coll($c3,$c6,$c2).
% 33.92/34.16 4740 [hyper,4634,1] {-} coll($c1,$c6,$c2).
% 33.92/34.16 4811 [hyper,4638,1] {-} coll($c2,$c6,$c3).
% 33.92/34.16 4926 [hyper,4667,3,3178] {-} coll($c3,$c2,$c3).
% 33.92/34.16 4952 [hyper,4740,3,3211] {-} coll($c6,$c2,$c1).
% 33.92/34.16 5050 [hyper,4811,3,4560] {-} coll($c3,$c2,$c2).
% 33.92/34.16 6921 [hyper,2448,8] {-} perp($c2,$c6,$c6,$c1).
% 33.92/34.16 7017 [hyper,2465,5] {-} para($c1,$c6,$c6,$c1).
% 33.92/34.16 7253 [hyper,2483,4] {-} para($c3,$c6,$c6,$c3).
% 33.92/34.16 7570 [hyper,4541,5] {-} para($c2,$c6,$c6,$c2).
% 33.92/34.16 7751 [hyper,6921,9,2448] {-} para($c2,$c6,$c2,$c6).
% 33.92/34.16 8080 [hyper,7253,5] {-} para($c6,$c3,$c3,$c6).
% 33.92/34.16 8925 [hyper,8080,6,7253] {-} para($c6,$c3,$c6,$c3).
% 33.92/34.16 16078 [hyper,4540,43,4573] {-} cyclic($c2,$c2,$c6,$c6).
% 33.92/34.16 16082 [hyper,4540,43,3080] {-} cyclic($c2,$c6,$c6,$c6).
% 33.92/34.16 16087 [hyper,16078,15] {-} cyclic($c2,$c6,$c2,$c6).
% 33.92/34.16 16107 [hyper,16087,14] {-} cyclic($c2,$c6,$c6,$c2).
% 33.92/34.16 16196 [hyper,16107,123,16082,4540] {-} cong($c2,$c6,$c2,$c6).
% 33.92/34.16 16314 [hyper,16196,68,4640] {-} midp($c2,$c6,$c6).
% 33.92/34.16 16323 [hyper,16314,129,8925] {-} midp($c2,$c3,$c3).
% 33.92/34.16 16326 [hyper,16314,129,2447] {-} midp($c2,$c1,$c1).
% 33.92/34.16 16327 [hyper,16314,129,2446] {-} midp($c2,$c2,$c2).
% 33.92/34.16 16334 [hyper,16314,46,7570,4573] {-} midp($c6,$c6,$c2).
% 33.92/34.16 16442 [hyper,16326,64,16323] {-} para($c3,$c1,$c3,$c1).
% 33.92/34.16 16499 [hyper,16327,46,7751,4635] {-} midp($c6,$c2,$c6).
% 33.92/34.16 16677 [hyper,16334,128] {-} para($c6,$c6,$c2,$c2).
% 33.92/34.16 16755 [hyper,16334,56,2466] {-} cong($c1,$c6,$c1,$c2).
% 33.92/34.16 16856 [hyper,16499,46,8925,4926] {-} midp($c3,$c2,$c3).
% 33.92/34.16 16979 [hyper,16856,69] {-} cong($c3,$c2,$c3,$c3).
% 33.92/34.16 16980 [hyper,16856,11] {-} midp($c3,$c3,$c2).
% 33.92/34.16 17846 [hyper,16980,69] {-} cong($c3,$c3,$c3,$c2).
% 33.92/34.16 20706 [hyper,16442,4] {-} para($c3,$c1,$c1,$c3).
% 33.92/34.16 23770 [hyper,16755,68,4740] {-} midp($c1,$c6,$c2).
% 33.92/34.16 23864 [hyper,23770,65,4541,16677] {-} midp($c1,$c2,$c6).
% 33.92/34.16 23967 [hyper,23864,46,7017,4952] {-} midp($c6,$c2,$c1).
% 33.92/34.16 23975 [hyper,23864,45,16327] {-} para($c2,$c1,$c2,$c6).
% 33.92/34.16 24103 [hyper,23967,45,16327] {-} para($c2,$c6,$c2,$c1).
% 33.92/34.16 24645 [hyper,17846,25,16979] {-} cong($c3,$c2,$c3,$c2).
% 33.92/34.16 35432 [hyper,24645,68,5050] {-} midp($c3,$c2,$c2).
% 33.92/34.16 35590 [hyper,35432,65,24103,23975] {-} midp($c3,$c6,$c1).
% 33.92/34.16 36689 [hyper,35590,46,20706,3176] {-} midp($c1,$c6,$c3).
% 33.92/34.16 40346 [hyper,36689,69] {-} cong($c1,$c6,$c1,$c3).
% 33.92/34.16 40347 [binary,40346.1,113.1] {-} $F.
% 33.92/34.16
% 33.92/34.16 % SZS output end Refutation
% 33.92/34.16 ------------ end of proof -------------
% 33.92/34.16
% 33.92/34.16
% 33.92/34.16 Search stopped by max_proofs option.
% 33.92/34.16
% 33.92/34.16
% 33.92/34.16 Search stopped by max_proofs option.
% 33.92/34.16
% 33.92/34.16 ============ end of search ============
% 33.92/34.16
% 33.92/34.16 That finishes the proof of the theorem.
% 33.92/34.16
% 33.92/34.16 Process 1905 finished Sat Jun 18 07:14:53 2022
%------------------------------------------------------------------------------