TSTP Solution File: GEO617+1 by SOS---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SOS---2.0
% Problem : GEO617+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : sos-script %s
% Computer : n012.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 40.57s 40.78s
% Output : Refutation 40.57s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : GEO617+1 : TPTP v8.1.0. Released v7.5.0.
% 0.06/0.12 % Command : sos-script %s
% 0.12/0.34 % Computer : n012.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 : Fri Jun 17 20:03:23 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 n012.cluster.edu,
% 0.12/0.37 Fri Jun 17 20:03:23 2022
% 0.12/0.37 The command was "./sos". The process ID is 4367.
% 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: 94
% 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 ===========
% 6.06/6.24
% 6.06/6.24
% 6.06/6.24 Changing weight limit from 60 to 56.
% 6.06/6.24
% 6.06/6.24 Resetting weight limit to 56 after 195 givens.
% 6.06/6.24
% 7.56/7.75
% 7.56/7.75
% 7.56/7.75 Changing weight limit from 56 to 55.
% 7.56/7.75
% 7.56/7.75 Resetting weight limit to 55 after 200 givens.
% 7.56/7.75
% 8.82/9.00
% 8.82/9.00
% 8.82/9.00 Changing weight limit from 55 to 52.
% 8.82/9.00
% 8.82/9.00 Resetting weight limit to 52 after 205 givens.
% 8.82/9.00
% 9.48/9.71
% 9.48/9.71
% 9.48/9.71 Changing weight limit from 52 to 51.
% 9.48/9.71
% 9.48/9.71 Resetting weight limit to 51 after 210 givens.
% 9.48/9.71
% 11.54/11.73
% 11.54/11.73
% 11.54/11.73 Changing weight limit from 51 to 50.
% 11.54/11.73
% 11.54/11.73 Resetting weight limit to 50 after 235 givens.
% 11.54/11.73
% 12.81/13.03
% 12.81/13.03
% 12.81/13.03 Changing weight limit from 50 to 49.
% 12.81/13.03
% 12.81/13.03 Resetting weight limit to 49 after 250 givens.
% 12.81/13.03
% 13.08/13.26
% 13.08/13.26
% 13.08/13.26 Changing weight limit from 49 to 47.
% 13.08/13.26
% 13.08/13.26 Resetting weight limit to 47 after 255 givens.
% 13.08/13.26
% 13.22/13.43
% 13.22/13.43
% 13.22/13.43 Changing weight limit from 47 to 46.
% 13.22/13.43
% 13.22/13.43 Resetting weight limit to 46 after 260 givens.
% 13.22/13.43
% 13.89/14.09
% 13.89/14.09
% 13.89/14.09 Changing weight limit from 46 to 44.
% 13.89/14.09
% 13.89/14.09 Resetting weight limit to 44 after 265 givens.
% 13.89/14.09
% 13.97/14.16
% 13.97/14.16
% 13.97/14.16 Changing weight limit from 44 to 35.
% 13.97/14.16
% 13.97/14.16 Resetting weight limit to 35 after 270 givens.
% 13.97/14.16
% 14.15/14.36
% 14.15/14.36
% 14.15/14.36 Changing weight limit from 35 to 34.
% 14.15/14.36
% 14.15/14.36 Resetting weight limit to 34 after 275 givens.
% 14.15/14.36
% 14.37/14.62
% 14.37/14.62
% 14.37/14.62 Changing weight limit from 34 to 31.
% 14.37/14.62
% 14.37/14.62 Resetting weight limit to 31 after 285 givens.
% 14.37/14.62
% 14.88/15.07
% 14.88/15.07
% 14.88/15.07 Changing weight limit from 31 to 30.
% 14.88/15.07
% 14.88/15.07 Modelling stopped after 300 given clauses and 0.00 seconds
% 14.88/15.07
% 14.88/15.07
% 14.88/15.07 Resetting weight limit to 30 after 305 givens.
% 14.88/15.07
% 16.41/16.61
% 16.41/16.61
% 16.41/16.61 Changing weight limit from 30 to 29.
% 16.41/16.61
% 16.41/16.61 Resetting weight limit to 29 after 360 givens.
% 16.41/16.61
% 16.88/17.06
% 16.88/17.06
% 16.88/17.06 Changing weight limit from 29 to 18.
% 16.88/17.06
% 16.88/17.06 Resetting weight limit to 18 after 390 givens.
% 16.88/17.06
% 16.88/17.10
% 16.88/17.10
% 16.88/17.10 Changing weight limit from 18 to 16.
% 16.88/17.10
% 16.88/17.10 Resetting weight limit to 16 after 455 givens.
% 16.88/17.10
% 16.94/17.12
% 16.94/17.12
% 16.94/17.12 Changing weight limit from 16 to 14.
% 16.94/17.12
% 16.94/17.12 Resetting weight limit to 14 after 465 givens.
% 16.94/17.12
% 16.94/17.15
% 16.94/17.15
% 16.94/17.15 Changing weight limit from 14 to 11.
% 16.94/17.15
% 16.94/17.15 Resetting weight limit to 11 after 470 givens.
% 16.94/17.15
% 16.99/17.19
% 16.99/17.19
% 16.99/17.19 Changing weight limit from 11 to 10.
% 16.99/17.19
% 16.99/17.19 Resetting weight limit to 10 after 480 givens.
% 16.99/17.19
% 18.76/19.01
% 18.76/19.01
% 18.76/19.01 Changing weight limit from 10 to 9.
% 18.76/19.01
% 18.76/19.01 Resetting weight limit to 9 after 735 givens.
% 18.76/19.01
% 27.78/28.00
% 27.78/28.00
% 27.78/28.00 Changing weight limit from 9 to 8.
% 27.78/28.00
% 27.78/28.00 Resetting weight limit to 8 after 5715 givens.
% 27.78/28.00
% 29.04/29.25
% 29.04/29.25
% 29.04/29.25 Changing weight limit from 8 to 9.
% 29.04/29.25
% 29.04/29.25 Resetting weight limit to 9 after 5835 givens.
% 29.04/29.25
% 29.58/29.77
% 29.58/29.77
% 29.58/29.77 Changing weight limit from 9 to 8.
% 29.58/29.77
% 29.58/29.77 Resetting weight limit to 8 after 6085 givens.
% 29.58/29.77
% 34.04/34.24
% 34.04/34.24
% 34.04/34.24 Changing weight limit from 8 to 9.
% 34.04/34.24
% 34.04/34.24 Resetting weight limit to 9 after 9230 givens.
% 34.04/34.24
% 34.07/34.26
% 34.07/34.26
% 34.07/34.26 Changing weight limit from 9 to 10.
% 34.07/34.26
% 34.07/34.26 Resetting weight limit to 10 after 9235 givens.
% 34.07/34.26
% 34.07/34.28
% 34.07/34.28
% 34.07/34.28 Changing weight limit from 10 to 11.
% 34.07/34.28
% 34.07/34.28 Resetting weight limit to 11 after 9240 givens.
% 34.07/34.28
% 34.07/34.30
% 34.07/34.30
% 34.07/34.30 Changing weight limit from 11 to 12.
% 34.07/34.30
% 34.07/34.30 Resetting weight limit to 12 after 9245 givens.
% 34.07/34.30
% 34.07/34.32
% 34.07/34.32
% 34.07/34.32 Changing weight limit from 12 to 13.
% 34.07/34.32
% 34.07/34.32 Resetting weight limit to 13 after 9250 givens.
% 34.07/34.32
% 34.17/34.37
% 34.17/34.37
% 34.17/34.37 Changing weight limit from 13 to 14.
% 34.17/34.37
% 34.17/34.37 Resetting weight limit to 14 after 9255 givens.
% 34.17/34.37
% 34.17/34.38
% 34.17/34.38
% 34.17/34.38 Changing weight limit from 14 to 15.
% 34.17/34.38
% 34.17/34.38 Resetting weight limit to 15 after 9260 givens.
% 34.17/34.38
% 34.17/34.39
% 34.17/34.39
% 34.17/34.39 Changing weight limit from 15 to 16.
% 34.17/34.39
% 34.17/34.39 Resetting weight limit to 16 after 9265 givens.
% 34.17/34.39
% 37.54/37.75
% 37.54/37.75
% 37.54/37.75 Changing weight limit from 16 to 15.
% 37.54/37.75
% 37.54/37.75 Resetting weight limit to 15 after 9350 givens.
% 37.54/37.75
% 37.58/37.77
% 37.58/37.77
% 37.58/37.77 Changing weight limit from 15 to 14.
% 37.58/37.77
% 37.58/37.77 Resetting weight limit to 14 after 9360 givens.
% 37.58/37.77
% 40.48/40.69
% 40.48/40.69
% 40.48/40.69 Changing weight limit from 14 to 15.
% 40.48/40.69
% 40.48/40.69 Resetting weight limit to 15 after 9800 givens.
% 40.48/40.69
% 40.48/40.69
% 40.48/40.69
% 40.48/40.69 Changing weight limit from 15 to 16.
% 40.48/40.69
% 40.48/40.69 Resetting weight limit to 16 after 9805 givens.
% 40.48/40.69
% 40.48/40.70
% 40.48/40.70
% 40.48/40.70 Changing weight limit from 16 to 17.
% 40.48/40.70
% 40.48/40.70 Resetting weight limit to 17 after 9810 givens.
% 40.48/40.70
% 40.48/40.70
% 40.48/40.70
% 40.48/40.70 Changing weight limit from 17 to 18.
% 40.48/40.70
% 40.48/40.70 Resetting weight limit to 18 after 9815 givens.
% 40.48/40.70
% 40.54/40.75
% 40.54/40.75
% 40.54/40.75 Changing weight limit from 18 to 19.
% 40.54/40.75
% 40.54/40.75 Resetting weight limit to 19 after 9820 givens.
% 40.54/40.75
% 40.54/40.75
% 40.54/40.75
% 40.54/40.75 Changing weight limit from 19 to 20.
% 40.54/40.75
% 40.54/40.75 Resetting weight limit to 20 after 9825 givens.
% 40.54/40.75
% 40.57/40.76
% 40.57/40.76
% 40.57/40.76 Changing weight limit from 20 to 21.
% 40.57/40.76
% 40.57/40.76 Resetting weight limit to 21 after 9830 givens.
% 40.57/40.76
% 40.57/40.77
% 40.57/40.77
% 40.57/40.77 Changing weight limit from 21 to 22.
% 40.57/40.77
% 40.57/40.77 Resetting weight limit to 22 after 9835 givens.
% 40.57/40.77
% 40.57/40.78
% 40.57/40.78 -- HEY sandbox, WE HAVE A PROOF!! --
% 40.57/40.78
% 40.57/40.78 ----> UNIT CONFLICT at 39.55 sec ----> 157765 [binary,157764.1,113.1] {-} $F.
% 40.57/40.78
% 40.57/40.78 Length of proof is 105. Level of proof is 31.
% 40.57/40.78
% 40.57/40.78 ---------------- PROOF ----------------
% 40.57/40.78 % SZS status Theorem
% 40.57/40.78 % SZS output start Refutation
% 40.57/40.78
% 40.57/40.78 1 [] {+} -coll(A,B,C)|coll(A,C,B).
% 40.57/40.78 2 [] {+} -coll(A,B,C)|coll(B,A,C).
% 40.57/40.78 3 [] {+} -coll(A,B,C)| -coll(A,B,D)|coll(C,D,A).
% 40.57/40.78 4 [] {+} -para(A,B,C,D)|para(A,B,D,C).
% 40.57/40.78 5 [] {+} -para(A,B,C,D)|para(C,D,A,B).
% 40.57/40.78 6 [] {+} -para(A,B,C,D)| -para(C,D,E,F)|para(A,B,E,F).
% 40.57/40.78 7 [] {+} -perp(A,B,C,D)|perp(A,B,D,C).
% 40.57/40.78 8 [] {+} -perp(A,B,C,D)|perp(C,D,A,B).
% 40.57/40.78 9 [] {+} -perp(A,B,C,D)| -perp(C,D,E,F)|para(A,B,E,F).
% 40.57/40.78 10 [] {+} -para(A,B,C,D)| -perp(C,D,E,F)|perp(A,B,E,F).
% 40.57/40.78 11 [] {+} -midp(A,B,C)|midp(A,C,B).
% 40.57/40.78 14 [] {+} -cyclic(A,B,C,D)|cyclic(A,B,D,C).
% 40.57/40.78 15 [] {+} -cyclic(A,B,C,D)|cyclic(A,C,B,D).
% 40.57/40.78 19 [] {+} -eqangle(A,B,C,D,E,F,G,H)|eqangle(C,D,A,B,G,H,E,F).
% 40.57/40.78 21 [] {+} -eqangle(A,B,C,D,E,F,G,H)|eqangle(A,B,E,F,C,D,G,H).
% 40.57/40.78 22 [] {+} -eqangle(A,B,C,D,E,F,G,H)| -eqangle(E,F,G,H,I,J,K,L)|eqangle(A,B,C,D,I,J,K,L).
% 40.57/40.78 25 [] {+} -cong(A,B,C,D)| -cong(C,D,E,F)|cong(A,B,E,F).
% 40.57/40.78 39 [] {+} -eqangle(A,B,C,D,E,F,C,D)|para(A,B,E,F).
% 40.57/40.78 40 [] {+} -para(A,B,C,D)|eqangle(A,B,E,F,C,D,E,F).
% 40.57/40.78 43 [] {+} -eqangle(A,B,A,C,D,B,D,C)| -coll(A,D,C)|cyclic(B,C,A,D).
% 40.57/40.78 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).
% 40.57/40.78 46 [] {+} -midp(A,B,C)| -para(A,D,C,E)| -coll(D,B,E)|midp(D,B,E).
% 40.57/40.78 57 [] {+} -cong(A,B,C,B)| -cong(A,D,C,D)|perp(A,C,B,D).
% 40.57/40.78 64 [] {+} -midp(A,B,C)| -midp(A,D,E)|para(B,D,C,E).
% 40.57/40.78 65 [] {+} -midp(A,B,C)| -para(B,D,C,E)| -para(B,E,C,D)|midp(A,D,E).
% 40.57/40.78 67 [] {+} -para(A,B,A,C)|coll(A,B,C).
% 40.57/40.78 68 [] {+} -cong(A,B,A,C)| -coll(A,B,C)|midp(A,B,C).
% 40.57/40.78 69 [] {+} -midp(A,B,C)|cong(A,B,A,C).
% 40.57/40.78 73 [] {+} -eqangle(A,B,C,D,E,F,G,H)| -para(E,F,G,H)|para(A,B,C,D).
% 40.57/40.78 99 [] {+} -circle(A,B,C,D)|perp($f12(B,C,D,A),B,B,A).
% 40.57/40.78 113 [] {+} -eqangle($c1,$c4,$c4,$c2,$c2,$c4,$c4,$c3).
% 40.57/40.78 114 [factor,3.1.2] {+} -coll(A,B,C)|coll(C,C,A).
% 40.57/40.78 123 [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).
% 40.57/40.78 128 [factor,64.1.2] {+} -midp(A,B,C)|para(B,B,C,C).
% 40.57/40.78 129 [factor,65.2.3] {+} -midp(A,B,C)| -para(B,D,C,D)|midp(A,D,D).
% 40.57/40.78 159 [] {-} circle($c3,$c6,$c5,$c4).
% 40.57/40.78 160 [] {-} eqangle($c2,$c4,$c4,$c5,$c2,$c4,$c4,$c6).
% 40.57/40.78 162 [] {-} perp($c1,$c4,$c6,$c5).
% 40.57/40.78 163 [] {-} coll($c1,$c6,$c5).
% 40.57/40.78 165 [hyper,159,99] {-} perp($f12($c6,$c5,$c4,$c3),$c6,$c6,$c3).
% 40.57/40.78 197 [hyper,163,114] {-} coll($c5,$c5,$c1).
% 40.57/40.78 198 [hyper,163,2] {-} coll($c6,$c1,$c5).
% 40.57/40.78 199 [hyper,163,1] {-} coll($c1,$c5,$c6).
% 40.57/40.78 226 [hyper,160,21] {-} eqangle($c2,$c4,$c2,$c4,$c4,$c5,$c4,$c6).
% 40.57/40.78 228 [hyper,160,19] {-} eqangle($c4,$c5,$c2,$c4,$c4,$c6,$c2,$c4).
% 40.57/40.78 290 [hyper,197,114] {-} coll($c1,$c1,$c5).
% 40.57/40.78 306 [hyper,198,1] {-} coll($c6,$c5,$c1).
% 40.57/40.78 319 [hyper,162,8] {-} perp($c6,$c5,$c1,$c4).
% 40.57/40.78 337 [hyper,199,114] {-} coll($c6,$c6,$c1).
% 40.57/40.78 392 [hyper,165,8] {-} perp($c6,$c3,$f12($c6,$c5,$c4,$c3),$c6).
% 40.57/40.78 466 [hyper,290,1] {-} coll($c1,$c5,$c1).
% 40.57/40.78 618 [hyper,306,114] {-} coll($c1,$c1,$c6).
% 40.57/40.78 734 [hyper,337,1] {-} coll($c6,$c1,$c6).
% 40.57/40.78 1075 [hyper,466,114] {-} coll($c1,$c1,$c1).
% 40.57/40.78 2100 [hyper,319,9,162] {-} para($c1,$c4,$c1,$c4).
% 40.57/40.78 2102 [hyper,319,7] {-} perp($c6,$c5,$c4,$c1).
% 40.57/40.78 2137 [hyper,2100,67] {-} coll($c1,$c4,$c4).
% 40.57/40.78 2138 [hyper,2100,40] {-} eqangle($c1,$c4,A,B,$c1,$c4,A,B).
% 40.57/40.78 2196 [hyper,2137,114] {-} coll($c4,$c4,$c1).
% 40.57/40.78 2198 [hyper,2137,2] {-} coll($c4,$c1,$c4).
% 40.57/40.78 2211 [hyper,2196,114] {-} coll($c1,$c1,$c4).
% 40.57/40.78 2243 [hyper,2211,3,618] {-} coll($c6,$c4,$c1).
% 40.57/40.78 2246 [hyper,2211,3,1075] {-} coll($c4,$c1,$c1).
% 40.57/40.78 2247 [hyper,2211,3,618] {-} coll($c4,$c6,$c1).
% 40.57/40.78 2338 [hyper,2243,1] {-} coll($c6,$c1,$c4).
% 40.57/40.78 2434 [hyper,2247,1] {-} coll($c4,$c1,$c6).
% 40.57/40.78 2548 [hyper,2338,3,734] {-} coll($c6,$c4,$c6).
% 40.57/40.78 2664 [hyper,2434,114] {-} coll($c6,$c6,$c4).
% 40.57/40.78 2666 [hyper,2434,3,2198] {-} coll($c4,$c6,$c4).
% 40.57/40.78 3831 [hyper,2102,8] {-} perp($c4,$c1,$c6,$c5).
% 40.57/40.78 4070 [hyper,3831,9,2102] {-} para($c4,$c1,$c4,$c1).
% 40.57/40.78 4593 [hyper,228,39] {-} para($c4,$c5,$c4,$c6).
% 40.57/40.78 4725 [hyper,4593,73,226] {-} para($c2,$c4,$c2,$c4).
% 40.57/40.78 4732 [hyper,4593,5] {-} para($c4,$c6,$c4,$c5).
% 40.57/40.78 4806 [hyper,4725,4] {-} para($c2,$c4,$c4,$c2).
% 40.57/40.78 4880 [hyper,4732,6,4593] {-} para($c4,$c6,$c4,$c6).
% 40.57/40.78 5076 [hyper,4806,5] {-} para($c4,$c2,$c2,$c4).
% 40.57/40.78 5562 [hyper,5076,6,4806] {-} para($c4,$c2,$c4,$c2).
% 40.57/40.78 6337 [hyper,392,9,165] {-} para($c6,$c3,$c6,$c3).
% 40.57/40.78 6371 [hyper,6337,67] {-} coll($c6,$c3,$c3).
% 40.57/40.78 6390 [hyper,6371,114] {-} coll($c3,$c3,$c6).
% 40.57/40.78 6392 [hyper,6371,2] {-} coll($c3,$c6,$c3).
% 40.57/40.78 6405 [hyper,6390,114] {-} coll($c6,$c6,$c3).
% 40.57/40.78 6439 [hyper,6405,3,2664] {-} coll($c4,$c3,$c6).
% 40.57/40.78 6444 [hyper,6405,3,2664] {-} coll($c3,$c4,$c6).
% 40.57/40.78 6475 [hyper,6439,1] {-} coll($c4,$c6,$c3).
% 40.57/40.78 6581 [hyper,6444,1] {-} coll($c3,$c6,$c4).
% 40.57/40.78 6688 [hyper,6475,3,2666] {-} coll($c3,$c4,$c4).
% 40.57/40.78 6856 [hyper,6581,3,6392] {-} coll($c3,$c4,$c3).
% 40.57/40.78 11539 [hyper,2138,43,2211] {-} cyclic($c4,$c4,$c1,$c1).
% 40.57/40.78 11541 [hyper,2138,43,1075] {-} cyclic($c4,$c1,$c1,$c1).
% 40.57/40.78 11545 [hyper,2138,19] {-} eqangle(A,B,$c1,$c4,A,B,$c1,$c4).
% 40.57/40.78 11549 [hyper,11539,15] {-} cyclic($c4,$c1,$c4,$c1).
% 40.57/40.78 11610 [hyper,11549,14] {-} cyclic($c4,$c1,$c1,$c4).
% 40.57/40.78 11748 [hyper,11610,123,11541,2138] {-} cong($c4,$c1,$c4,$c1).
% 40.57/40.78 11932 [hyper,11748,68,2246] {-} midp($c4,$c1,$c1).
% 40.57/40.78 11980 [hyper,11932,129,2100] {-} midp($c4,$c4,$c4).
% 40.57/40.78 11996 [hyper,11980,129,5562] {-} midp($c4,$c2,$c2).
% 40.57/40.78 11997 [hyper,11980,129,4880] {-} midp($c4,$c6,$c6).
% 40.57/40.78 12064 [hyper,11980,46,4880,2548] {-} midp($c6,$c4,$c6).
% 40.57/40.78 12275 [hyper,11996,69] {-} cong($c4,$c2,$c4,$c2).
% 40.57/40.78 12294 [hyper,11997,129,6337] {-} midp($c4,$c3,$c3).
% 40.57/40.78 14164 [hyper,12064,46,6337,6856] {-} midp($c3,$c4,$c3).
% 40.57/40.78 14743 [hyper,12294,69] {-} cong($c4,$c3,$c4,$c3).
% 40.57/40.78 15575 [hyper,14164,69] {-} cong($c3,$c4,$c3,$c3).
% 40.57/40.78 15576 [hyper,14164,11] {-} midp($c3,$c3,$c4).
% 40.57/40.78 15579 [hyper,15576,128] {-} para($c3,$c3,$c4,$c4).
% 40.57/40.78 15712 [hyper,15576,69] {-} cong($c3,$c3,$c3,$c4).
% 40.57/40.78 33645 [hyper,14743,57,12275] {-} perp($c4,$c4,$c3,$c2).
% 40.57/40.78 33900 [hyper,15712,25,15575] {-} cong($c3,$c4,$c3,$c4).
% 40.57/40.78 52719 [hyper,33645,10,15579] {-} perp($c3,$c3,$c3,$c2).
% 40.57/40.78 53472 [hyper,33900,68,6688] {-} midp($c3,$c4,$c4).
% 40.57/40.78 53484 [hyper,53472,129,4070] {-} midp($c3,$c1,$c1).
% 40.57/40.78 87620 [hyper,11545,39] {-} para(A,B,A,B).
% 40.57/40.78 100035 [hyper,52719,8] {-} perp($c3,$c2,$c3,$c3).
% 40.57/40.78 109434 [hyper,87620,129,53484] {-} midp($c3,A,A).
% 40.57/40.78 109439 [hyper,87620,129,12294] {-} midp($c4,A,A).
% 40.57/40.78 109440 [hyper,87620,67] {-} coll(A,B,B).
% 40.57/40.78 109454 [hyper,109434,69] {-} cong($c3,A,$c3,A).
% 40.57/40.78 109483 [hyper,109434,64,15576] {-} para($c3,A,$c4,A).
% 40.57/40.78 109558 [hyper,109440,114] {-} coll(A,A,B).
% 40.57/40.78 109643 [hyper,109558,3,109558] {-} coll(A,B,C).
% 40.57/40.78 109746 [hyper,109643,46,109439,87620] {-} midp(A,$c4,A).
% 40.57/40.78 109751 [hyper,109643,46,109434,87620] {-} midp(A,$c3,A).
% 40.57/40.78 109754 [hyper,109746,11] {-} midp(A,A,$c4).
% 40.57/40.78 111427 [hyper,109751,69] {-} cong(A,$c3,A,A).
% 40.57/40.78 111792 [hyper,109754,69] {-} cong(A,A,A,$c4).
% 40.57/40.78 111798 [hyper,109754,64,109751] {-} para(A,$c3,$c4,A).
% 40.57/40.78 126436 [hyper,109454,57,109454] {-} perp($c3,$c3,A,B).
% 40.57/40.78 133745 [hyper,111792,25,111427] {-} cong(A,$c3,A,$c4).
% 40.57/40.78 140174 [hyper,126436,9,100035] {-} para($c3,$c2,A,B).
% 40.57/40.78 142011 [hyper,133745,68,109643] {-} midp(A,$c3,$c4).
% 40.57/40.78 142432 [hyper,142011,129,109483] {-} midp(A,B,B).
% 40.57/40.78 142582 [hyper,142432,46,111798,109643] {-} midp($c3,$c4,A).
% 40.57/40.78 143066 [hyper,142582,11] {-} midp($c3,A,$c4).
% 40.57/40.78 144097 [hyper,140174,46,143066,109643] {-} midp($c2,A,B).
% 40.57/40.78 144099 [hyper,144097,64,144097] {-} para(A,B,C,D).
% 40.57/40.78 155863 [hyper,144099,40] {-} eqangle(A,B,C,D,E,F,C,D).
% 40.57/40.78 157700 [hyper,155863,19] {-} eqangle(A,B,C,D,A,B,E,F).
% 40.57/40.78 157764 [hyper,157700,22,155863] {-} eqangle(A,B,C,D,E,F,G,H).
% 40.57/40.78 157765 [binary,157764.1,113.1] {-} $F.
% 40.57/40.78
% 40.57/40.78 % SZS output end Refutation
% 40.57/40.78 ------------ end of proof -------------
% 40.57/40.78
% 40.57/40.78
% 40.57/40.78 Search stopped by max_proofs option.
% 40.57/40.78
% 40.57/40.78
% 40.57/40.78 Search stopped by max_proofs option.
% 40.57/40.78
% 40.57/40.78 ============ end of search ============
% 40.57/40.78
% 40.57/40.78 That finishes the proof of the theorem.
% 40.57/40.78
% 40.57/40.78 Process 4367 finished Fri Jun 17 20:04:04 2022
%------------------------------------------------------------------------------