TSTP Solution File: GEO636+1 by SOS---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SOS---2.0
% Problem : GEO636+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : sos-script %s
% Computer : n011.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 06:21:16 EDT 2022
% Result : Theorem 43.80s 44.05s
% Output : Refutation 43.80s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : GEO636+1 : TPTP v8.1.0. Released v7.5.0.
% 0.10/0.12 % Command : sos-script %s
% 0.12/0.33 % Computer : n011.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Sat Jun 18 02:25:52 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.36 ----- Otter 3.2, August 2001 -----
% 0.12/0.36 The process was started by sandbox on n011.cluster.edu,
% 0.12/0.36 Sat Jun 18 02:25:52 2022
% 0.12/0.36 The command was "./sos". The process ID is 15238.
% 0.12/0.36
% 0.12/0.36 set(prolog_style_variables).
% 0.12/0.36 set(auto).
% 0.12/0.36 dependent: set(auto1).
% 0.12/0.36 dependent: set(process_input).
% 0.12/0.36 dependent: clear(print_kept).
% 0.12/0.36 dependent: clear(print_new_demod).
% 0.12/0.36 dependent: clear(print_back_demod).
% 0.12/0.36 dependent: clear(print_back_sub).
% 0.12/0.36 dependent: set(control_memory).
% 0.12/0.36 dependent: assign(max_mem, 12000).
% 0.12/0.36 dependent: assign(pick_given_ratio, 4).
% 0.12/0.36 dependent: assign(stats_level, 1).
% 0.12/0.36 dependent: assign(pick_semantic_ratio, 3).
% 0.12/0.36 dependent: assign(sos_limit, 5000).
% 0.12/0.36 dependent: assign(max_weight, 60).
% 0.12/0.36 clear(print_given).
% 0.12/0.36
% 0.12/0.36 formula_list(usable).
% 0.12/0.36
% 0.12/0.36 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=5.
% 0.12/0.36
% 0.12/0.36 This ia a non-Horn set with equality. The strategy will be
% 0.12/0.36 Knuth-Bendix, ordered hyper_res, ur_res, factoring, and
% 0.12/0.36 unit deletion, with positive clauses in sos and nonpositive
% 0.12/0.36 clauses in usable.
% 0.12/0.36
% 0.12/0.36 dependent: set(knuth_bendix).
% 0.12/0.36 dependent: set(para_from).
% 0.12/0.36 dependent: set(para_into).
% 0.12/0.36 dependent: clear(para_from_right).
% 0.12/0.36 dependent: clear(para_into_right).
% 0.12/0.36 dependent: set(para_from_vars).
% 0.12/0.36 dependent: set(eq_units_both_ways).
% 0.12/0.36 dependent: set(dynamic_demod_all).
% 0.12/0.36 dependent: set(dynamic_demod).
% 0.12/0.36 dependent: set(order_eq).
% 0.12/0.36 dependent: set(back_demod).
% 0.12/0.36 dependent: set(lrpo).
% 0.12/0.36 dependent: set(hyper_res).
% 0.12/0.36 dependent: set(unit_deletion).
% 0.12/0.36 dependent: set(factor).
% 0.12/0.36
% 0.12/0.36 ------------> process usable:
% 0.12/0.36 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).
% 0.12/0.36
% 0.12/0.36 ------------> process sos:
% 0.12/0.36 Following clause subsumed by 164 during input processing: 0 [copy,164,flip.1] {-} A=A.
% 0.12/0.36 164 back subsumes 146.
% 0.12/0.36 164 back subsumes 145.
% 0.12/0.36 164 back subsumes 144.
% 0.12/0.36 164 back subsumes 143.
% 0.12/0.36
% 0.12/0.36 ======= end of input processing =======
% 0.18/0.42
% 0.18/0.42
% 0.18/0.42 Failed to model usable list: disabling FINDER
% 0.18/0.42
% 0.18/0.42
% 0.18/0.42
% 0.18/0.42 -------------- Softie stats --------------
% 0.18/0.42
% 0.18/0.42 UPDATE_STOP: 300
% 0.18/0.42 SFINDER_TIME_LIMIT: 2
% 0.18/0.42 SHORT_CLAUSE_CUTOFF: 4
% 0.18/0.42 number of clauses in intial UL: 154
% 0.18/0.42 number of clauses initially in problem: 160
% 0.18/0.42 percentage of clauses intially in UL: 96
% 0.18/0.42 percentage of distinct symbols occuring in initial UL: 92
% 0.18/0.42 percent of all initial clauses that are short: 100
% 0.18/0.42 absolute distinct symbol count: 39
% 0.18/0.42 distinct predicate count: 12
% 0.18/0.42 distinct function count: 20
% 0.18/0.42 distinct constant count: 7
% 0.18/0.42
% 0.18/0.42 ---------- no more Softie stats ----------
% 0.18/0.42
% 0.18/0.42
% 0.18/0.42
% 0.18/0.42 =========== start of search ===========
% 11.91/12.11
% 11.91/12.11
% 11.91/12.11 Changing weight limit from 60 to 59.
% 11.91/12.11
% 11.91/12.11 Resetting weight limit to 59 after 240 givens.
% 11.91/12.11
% 13.51/13.77
% 13.51/13.77
% 13.51/13.77 Changing weight limit from 59 to 58.
% 13.51/13.77
% 13.51/13.77 Resetting weight limit to 58 after 250 givens.
% 13.51/13.77
% 13.83/14.05
% 13.83/14.05
% 13.83/14.05 Changing weight limit from 58 to 55.
% 13.83/14.05
% 13.83/14.05 Resetting weight limit to 55 after 255 givens.
% 13.83/14.05
% 22.13/22.35
% 22.13/22.35
% 22.13/22.35 Changing weight limit from 55 to 54.
% 22.13/22.35
% 22.13/22.35 Resetting weight limit to 54 after 295 givens.
% 22.13/22.35
% 24.62/24.80
% 24.62/24.80
% 24.62/24.80 Changing weight limit from 54 to 50.
% 24.62/24.80
% 24.62/24.80 Modelling stopped after 300 given clauses and 0.00 seconds
% 24.62/24.80
% 24.62/24.80
% 24.62/24.80 Resetting weight limit to 50 after 305 givens.
% 24.62/24.80
% 27.13/27.35
% 27.13/27.35
% 27.13/27.35 Changing weight limit from 50 to 35.
% 27.13/27.35
% 27.13/27.35 Resetting weight limit to 35 after 320 givens.
% 27.13/27.35
% 27.61/27.79
% 27.61/27.79
% 27.61/27.79 Changing weight limit from 35 to 34.
% 27.61/27.79
% 27.61/27.79 Resetting weight limit to 34 after 330 givens.
% 27.61/27.79
% 28.11/28.29
% 28.11/28.29
% 28.11/28.29 Changing weight limit from 34 to 31.
% 28.11/28.29
% 28.11/28.29 Resetting weight limit to 31 after 350 givens.
% 28.11/28.29
% 28.60/28.87
% 28.60/28.87
% 28.60/28.87 Changing weight limit from 31 to 30.
% 28.60/28.87
% 28.60/28.87 Resetting weight limit to 30 after 385 givens.
% 28.60/28.87
% 30.54/30.74
% 30.54/30.74
% 30.54/30.74 Changing weight limit from 30 to 29.
% 30.54/30.74
% 30.54/30.74 Resetting weight limit to 29 after 475 givens.
% 30.54/30.74
% 31.12/31.36
% 31.12/31.36
% 31.12/31.36 Changing weight limit from 29 to 11.
% 31.12/31.36
% 31.12/31.36 Resetting weight limit to 11 after 505 givens.
% 31.12/31.36
% 31.23/31.48
% 31.23/31.48
% 31.23/31.48 Changing weight limit from 11 to 10.
% 31.23/31.48
% 31.23/31.48 Resetting weight limit to 10 after 515 givens.
% 31.23/31.48
% 32.55/32.82
% 32.55/32.82
% 32.55/32.82 Changing weight limit from 10 to 9.
% 32.55/32.82
% 32.55/32.82 Resetting weight limit to 9 after 930 givens.
% 32.55/32.82
% 43.36/43.55
% 43.36/43.55
% 43.36/43.55 Changing weight limit from 9 to 8.
% 43.36/43.55
% 43.36/43.55 Resetting weight limit to 8 after 7310 givens.
% 43.36/43.55
% 43.80/44.05
% 43.80/44.05 -- HEY sandbox, WE HAVE A PROOF!! --
% 43.80/44.05
% 43.80/44.05 ----> UNIT CONFLICT at 43.11 sec ----> 165570 [binary,165569.1,113.1] {-} $F.
% 43.80/44.05
% 43.80/44.05 Length of proof is 138. Level of proof is 24.
% 43.80/44.05
% 43.80/44.05 ---------------- PROOF ----------------
% 43.80/44.05 % SZS status Theorem
% 43.80/44.05 % SZS output start Refutation
% 43.80/44.05
% 43.80/44.05 1 [] {+} -coll(A,B,C)|coll(A,C,B).
% 43.80/44.05 2 [] {+} -coll(A,B,C)|coll(B,A,C).
% 43.80/44.05 3 [] {+} -coll(A,B,C)| -coll(A,B,D)|coll(C,D,A).
% 43.80/44.05 4 [] {+} -para(A,B,C,D)|para(A,B,D,C).
% 43.80/44.05 5 [] {+} -para(A,B,C,D)|para(C,D,A,B).
% 43.80/44.05 7 [] {+} -perp(A,B,C,D)|perp(A,B,D,C).
% 43.80/44.05 8 [] {+} -perp(A,B,C,D)|perp(C,D,A,B).
% 43.80/44.05 9 [] {+} -perp(A,B,C,D)| -perp(C,D,E,F)|para(A,B,E,F).
% 43.80/44.05 10 [] {+} -para(A,B,C,D)| -perp(C,D,E,F)|perp(A,B,E,F).
% 43.80/44.05 11 [] {+} -midp(A,B,C)|midp(A,C,B).
% 43.80/44.05 14 [] {+} -cyclic(A,B,C,D)|cyclic(A,B,D,C).
% 43.80/44.05 15 [] {+} -cyclic(A,B,C,D)|cyclic(A,C,B,D).
% 43.80/44.05 18 [] {+} -eqangle(A,B,C,D,E,F,G,H)|eqangle(B,A,C,D,E,F,G,H).
% 43.80/44.05 19 [] {+} -eqangle(A,B,C,D,E,F,G,H)|eqangle(C,D,A,B,G,H,E,F).
% 43.80/44.05 20 [] {+} -eqangle(A,B,C,D,E,F,G,H)|eqangle(E,F,G,H,A,B,C,D).
% 43.80/44.05 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).
% 43.80/44.05 25 [] {+} -cong(A,B,C,D)| -cong(C,D,E,F)|cong(A,B,E,F).
% 43.80/44.05 39 [] {+} -eqangle(A,B,C,D,E,F,C,D)|para(A,B,E,F).
% 43.80/44.05 40 [] {+} -para(A,B,C,D)|eqangle(A,B,E,F,C,D,E,F).
% 43.80/44.05 43 [] {+} -eqangle(A,B,A,C,D,B,D,C)| -coll(A,D,C)|cyclic(B,C,A,D).
% 43.80/44.05 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).
% 43.80/44.05 45 [] {+} -midp(A,B,C)| -midp(D,B,E)|para(A,D,C,E).
% 43.80/44.05 46 [] {+} -midp(A,B,C)| -para(A,D,C,E)| -coll(D,B,E)|midp(D,B,E).
% 43.80/44.05 57 [] {+} -cong(A,B,C,B)| -cong(A,D,C,D)|perp(A,C,B,D).
% 43.80/44.05 58 [] {+} -cong(A,B,C,B)| -cong(A,D,C,D)| -cyclic(A,C,B,D)|perp(B,A,A,D).
% 43.80/44.05 64 [] {+} -midp(A,B,C)| -midp(A,D,E)|para(B,D,C,E).
% 43.80/44.05 65 [] {+} -midp(A,B,C)| -para(B,D,C,E)| -para(B,E,C,D)|midp(A,D,E).
% 43.80/44.05 67 [] {+} -para(A,B,A,C)|coll(A,B,C).
% 43.80/44.05 68 [] {+} -cong(A,B,A,C)| -coll(A,B,C)|midp(A,B,C).
% 43.80/44.05 69 [] {+} -midp(A,B,C)|cong(A,B,A,C).
% 43.80/44.05 73 [] {+} -eqangle(A,B,C,D,E,F,G,H)| -para(E,F,G,H)|para(A,B,C,D).
% 43.80/44.05 113 [] {+} -perp($c7,$c3,$c1,$c2).
% 43.80/44.05 114 [factor,3.1.2] {+} -coll(A,B,C)|coll(C,C,A).
% 43.80/44.05 123 [factor,44.2.3] {+} -cyclic(A,B,C,D)| -cyclic(A,B,C,E)| -eqangle(C,A,C,B,E,D,E,E)|cong(A,B,D,E).
% 43.80/44.05 126 [factor,58.1.2] {+} -cong(A,B,C,B)| -cyclic(A,C,B,B)|perp(B,A,A,B).
% 43.80/44.05 128 [factor,64.1.2] {+} -midp(A,B,C)|para(B,B,C,C).
% 43.80/44.05 129 [factor,65.2.3] {+} -midp(A,B,C)| -para(B,D,C,D)|midp(A,D,D).
% 43.80/44.05 159 [] {-} eqangle($c5,$c7,$c7,$c3,$c4,$c7,$c7,$c6).
% 43.80/44.05 160 [] {-} perp($c2,$c4,$c7,$c6).
% 43.80/44.05 161 [] {-} coll($c2,$c7,$c6).
% 43.80/44.05 162 [] {-} perp($c1,$c4,$c7,$c5).
% 43.80/44.05 163 [] {-} coll($c1,$c7,$c5).
% 43.80/44.05 166 [hyper,159,20] {-} eqangle($c4,$c7,$c7,$c6,$c5,$c7,$c7,$c3).
% 43.80/44.05 168 [hyper,159,18] {-} eqangle($c7,$c5,$c7,$c3,$c4,$c7,$c7,$c6).
% 43.80/44.05 201 [hyper,161,114] {-} coll($c6,$c6,$c2).
% 43.80/44.05 202 [hyper,161,2] {-} coll($c7,$c2,$c6).
% 43.80/44.05 203 [hyper,161,1] {-} coll($c2,$c6,$c7).
% 43.80/44.05 217 [hyper,163,2] {-} coll($c7,$c1,$c5).
% 43.80/44.05 231 [hyper,201,114] {-} coll($c2,$c2,$c6).
% 43.80/44.05 232 [hyper,201,1] {-} coll($c6,$c2,$c6).
% 43.80/44.05 245 [hyper,160,8] {-} perp($c7,$c6,$c2,$c4).
% 43.80/44.05 264 [hyper,202,1] {-} coll($c7,$c6,$c2).
% 43.80/44.05 277 [hyper,203,114] {-} coll($c7,$c7,$c2).
% 43.80/44.05 278 [hyper,203,2] {-} coll($c6,$c2,$c7).
% 43.80/44.05 305 [hyper,217,114] {-} coll($c5,$c5,$c7).
% 43.80/44.05 319 [hyper,162,8] {-} perp($c7,$c5,$c1,$c4).
% 43.80/44.05 351 [hyper,231,1] {-} coll($c2,$c6,$c2).
% 43.80/44.05 427 [hyper,264,114] {-} coll($c2,$c2,$c7).
% 43.80/44.05 441 [hyper,277,1] {-} coll($c7,$c2,$c7).
% 43.80/44.05 481 [hyper,166,22,159] {-} eqangle($c4,$c7,$c7,$c6,$c4,$c7,$c7,$c6).
% 43.80/44.05 530 [hyper,305,114] {-} coll($c7,$c7,$c5).
% 43.80/44.05 531 [hyper,305,1] {-} coll($c5,$c7,$c5).
% 43.80/44.05 619 [hyper,351,114] {-} coll($c2,$c2,$c2).
% 43.80/44.05 661 [hyper,168,19] {-} eqangle($c7,$c3,$c7,$c5,$c7,$c6,$c4,$c7).
% 43.80/44.05 1079 [hyper,530,3,277] {-} coll($c5,$c2,$c7).
% 43.80/44.05 2140 [hyper,1079,1] {-} coll($c5,$c7,$c2).
% 43.80/44.05 2612 [hyper,2140,114] {-} coll($c2,$c2,$c5).
% 43.80/44.05 2615 [hyper,2140,3,531] {-} coll($c5,$c2,$c5).
% 43.80/44.05 4369 [hyper,245,9,160] {-} para($c2,$c4,$c2,$c4).
% 43.80/44.05 4370 [hyper,245,9,160] {-} para($c7,$c6,$c7,$c6).
% 43.80/44.05 4371 [hyper,245,7] {-} perp($c7,$c6,$c4,$c2).
% 43.80/44.05 4467 [hyper,319,9,162] {-} para($c7,$c5,$c7,$c5).
% 43.80/44.05 4468 [hyper,319,7] {-} perp($c7,$c5,$c4,$c1).
% 43.80/44.05 4503 [hyper,4369,67] {-} coll($c2,$c4,$c4).
% 43.80/44.05 4504 [hyper,4369,40] {-} eqangle($c2,$c4,A,B,$c2,$c4,A,B).
% 43.80/44.05 4505 [hyper,4369,4] {-} para($c2,$c4,$c4,$c2).
% 43.80/44.05 4522 [hyper,4503,114] {-} coll($c4,$c4,$c2).
% 43.80/44.05 4524 [hyper,4503,2] {-} coll($c4,$c2,$c4).
% 43.80/44.05 4567 [hyper,4522,114] {-} coll($c2,$c2,$c4).
% 43.80/44.05 4597 [hyper,4567,3,2612] {-} coll($c5,$c4,$c2).
% 43.80/44.05 4599 [hyper,4567,3,619] {-} coll($c2,$c4,$c2).
% 43.80/44.05 4600 [hyper,4567,3,427] {-} coll($c7,$c4,$c2).
% 43.80/44.05 4601 [hyper,4567,3,231] {-} coll($c6,$c4,$c2).
% 43.80/44.05 4602 [hyper,4567,3,2612] {-} coll($c4,$c5,$c2).
% 43.80/44.05 4604 [hyper,4567,3,619] {-} coll($c4,$c2,$c2).
% 43.80/44.05 4605 [hyper,4567,3,427] {-} coll($c4,$c7,$c2).
% 43.80/44.05 4606 [hyper,4567,3,231] {-} coll($c4,$c6,$c2).
% 43.80/44.05 4691 [hyper,4597,1] {-} coll($c5,$c2,$c4).
% 43.80/44.05 4729 [hyper,4600,1] {-} coll($c7,$c2,$c4).
% 43.80/44.05 4762 [hyper,4601,1] {-} coll($c6,$c2,$c4).
% 43.80/44.05 4775 [hyper,4602,1] {-} coll($c4,$c2,$c5).
% 43.80/44.05 4858 [hyper,4605,1] {-} coll($c4,$c2,$c7).
% 43.80/44.05 4871 [hyper,4606,1] {-} coll($c4,$c2,$c6).
% 43.80/44.05 4889 [hyper,4691,3,2615] {-} coll($c5,$c4,$c5).
% 43.80/44.05 4966 [hyper,4729,3,441] {-} coll($c7,$c4,$c7).
% 43.80/44.05 4994 [hyper,4762,3,232] {-} coll($c6,$c4,$c6).
% 43.80/44.05 4997 [hyper,4762,3,278] {-} coll($c4,$c7,$c6).
% 43.80/44.05 5014 [hyper,4775,3,4524] {-} coll($c5,$c4,$c4).
% 43.80/44.05 5084 [hyper,4858,114] {-} coll($c7,$c7,$c4).
% 43.80/44.05 5090 [hyper,4858,3,4524] {-} coll($c7,$c4,$c4).
% 43.80/44.05 5108 [hyper,4871,3,4858] {-} coll($c6,$c7,$c4).
% 43.80/44.05 5111 [hyper,4871,3,4524] {-} coll($c6,$c4,$c4).
% 43.80/44.05 6861 [hyper,4371,8] {-} perp($c4,$c2,$c7,$c6).
% 43.80/44.05 7259 [hyper,4468,8] {-} perp($c4,$c1,$c7,$c5).
% 43.80/44.05 7469 [hyper,4505,5] {-} para($c4,$c2,$c2,$c4).
% 43.80/44.05 7536 [hyper,6861,9,4371] {-} para($c4,$c2,$c4,$c2).
% 43.80/44.05 7856 [hyper,7259,9,4468] {-} para($c4,$c1,$c4,$c1).
% 43.80/44.05 8618 [hyper,481,39] {-} para($c4,$c7,$c4,$c7).
% 43.80/44.05 8732 [hyper,8618,4] {-} para($c4,$c7,$c7,$c4).
% 43.80/44.05 8828 [hyper,8732,5] {-} para($c7,$c4,$c4,$c7).
% 43.80/44.05 9174 [hyper,661,18] {-} eqangle($c3,$c7,$c7,$c5,$c7,$c6,$c4,$c7).
% 43.80/44.05 9209 [hyper,4504,43,4567] {-} cyclic($c4,$c4,$c2,$c2).
% 43.80/44.05 9212 [hyper,4504,43,619] {-} cyclic($c4,$c2,$c2,$c2).
% 43.80/44.05 9216 [hyper,4504,19] {-} eqangle(A,B,$c2,$c4,A,B,$c2,$c4).
% 43.80/44.05 9233 [hyper,9209,15] {-} cyclic($c4,$c2,$c4,$c2).
% 43.80/44.05 9346 [hyper,9233,14] {-} cyclic($c4,$c2,$c2,$c4).
% 43.80/44.05 9632 [hyper,9346,123,9212,4504] {-} cong($c4,$c2,$c4,$c2).
% 43.80/44.05 10004 [hyper,9632,126,9209] {-} perp($c2,$c4,$c4,$c2).
% 43.80/44.05 10007 [hyper,9632,68,4604] {-} midp($c4,$c2,$c2).
% 43.80/44.05 10032 [hyper,10007,129,4369] {-} midp($c4,$c4,$c4).
% 43.80/44.05 10035 [hyper,10007,46,7469,4567] {-} midp($c2,$c2,$c4).
% 43.80/44.05 10054 [hyper,10032,129,8618] {-} midp($c4,$c7,$c7).
% 43.80/44.06 10055 [hyper,10032,129,7856] {-} midp($c4,$c1,$c1).
% 43.80/44.06 10065 [hyper,10032,46,8618,4966] {-} midp($c7,$c4,$c7).
% 43.80/44.06 10067 [hyper,10032,46,7536,4599] {-} midp($c2,$c4,$c2).
% 43.80/44.06 10110 [hyper,10035,69] {-} cong($c2,$c2,$c2,$c4).
% 43.80/44.06 10158 [hyper,10054,64,10007] {-} para($c2,$c7,$c2,$c7).
% 43.80/44.06 10160 [hyper,10054,46,8732,5084] {-} midp($c7,$c7,$c4).
% 43.80/44.06 10213 [hyper,10055,69] {-} cong($c4,$c1,$c4,$c1).
% 43.80/44.06 10288 [hyper,10065,69] {-} cong($c7,$c4,$c7,$c7).
% 43.80/44.06 10289 [hyper,10065,46,4467,4889] {-} midp($c5,$c4,$c5).
% 43.80/44.06 10290 [hyper,10065,46,4370,4994] {-} midp($c6,$c4,$c6).
% 43.80/44.06 10460 [hyper,10067,69] {-} cong($c2,$c4,$c2,$c2).
% 43.80/44.06 10686 [hyper,10160,128] {-} para($c7,$c7,$c4,$c4).
% 43.80/44.06 10779 [hyper,10160,69] {-} cong($c7,$c7,$c7,$c4).
% 43.80/44.06 11046 [hyper,10289,69] {-} cong($c5,$c4,$c5,$c5).
% 43.80/44.06 11047 [hyper,10289,11] {-} midp($c5,$c5,$c4).
% 43.80/44.06 11195 [hyper,10290,69] {-} cong($c6,$c4,$c6,$c6).
% 43.80/44.06 11196 [hyper,10290,11] {-} midp($c6,$c6,$c4).
% 43.80/44.06 11355 [hyper,11047,69] {-} cong($c5,$c5,$c5,$c4).
% 43.80/44.06 11526 [hyper,11196,69] {-} cong($c6,$c6,$c6,$c4).
% 43.80/44.06 11527 [hyper,11196,64,10290] {-} para($c4,$c6,$c6,$c4).
% 43.80/44.06 12234 [hyper,10004,9,6861] {-} para($c2,$c4,$c7,$c6).
% 43.80/44.06 13184 [hyper,10213,57,9632] {-} perp($c4,$c4,$c1,$c2).
% 43.80/44.06 13516 [hyper,10460,25,10110] {-} cong($c2,$c2,$c2,$c2).
% 43.80/44.06 15074 [hyper,10779,25,10288] {-} cong($c7,$c4,$c7,$c4).
% 43.80/44.06 15261 [hyper,11355,25,11046] {-} cong($c5,$c4,$c5,$c4).
% 43.80/44.06 15518 [hyper,11526,25,11195] {-} cong($c6,$c4,$c6,$c4).
% 43.80/44.06 19476 [hyper,13516,68,619] {-} midp($c2,$c2,$c2).
% 43.80/44.06 19484 [hyper,19476,129,10158] {-} midp($c2,$c7,$c7).
% 43.80/44.06 20029 [hyper,19484,46,12234,4997] {-} midp($c4,$c7,$c6).
% 43.80/44.06 21350 [hyper,20029,46,11527,5108] {-} midp($c6,$c7,$c4).
% 43.80/44.06 22158 [hyper,21350,65,8828,10686] {-} midp($c6,$c4,$c7).
% 43.80/44.06 24220 [hyper,15074,68,5090] {-} midp($c7,$c4,$c4).
% 43.80/44.06 24230 [hyper,24220,129,7536] {-} midp($c7,$c2,$c2).
% 43.80/44.06 24437 [hyper,24220,45,22158] {-} para($c7,$c6,$c4,$c7).
% 43.80/44.06 30118 [hyper,15261,68,5014] {-} midp($c5,$c4,$c4).
% 43.80/44.06 33344 [hyper,15518,68,5111] {-} midp($c6,$c4,$c4).
% 43.80/44.06 33353 [hyper,33344,129,7536] {-} midp($c6,$c2,$c2).
% 43.80/44.06 33573 [hyper,33344,45,30118] {-} para($c6,$c5,$c4,$c4).
% 43.80/44.06 39203 [hyper,9216,39] {-} para(A,B,A,B).
% 43.80/44.06 72347 [hyper,24437,73,9174] {-} para($c3,$c7,$c7,$c5).
% 43.80/44.06 85042 [hyper,33573,10,13184] {-} perp($c6,$c5,$c1,$c2).
% 43.80/44.06 88236 [hyper,39203,129,33353] {-} midp($c6,A,A).
% 43.80/44.06 88239 [hyper,39203,129,24230] {-} midp($c7,A,A).
% 43.80/44.06 88242 [hyper,39203,67] {-} coll(A,B,B).
% 43.80/44.06 90825 [hyper,88242,114] {-} coll(A,A,B).
% 43.80/44.06 91721 [hyper,90825,3,90825] {-} coll(A,B,C).
% 43.80/44.06 92301 [hyper,91721,46,88239,39203] {-} midp(A,$c7,A).
% 43.80/44.06 92304 [hyper,91721,46,88236,39203] {-} midp(A,$c6,A).
% 43.80/44.06 93309 [hyper,92301,11] {-} midp(A,A,$c7).
% 43.80/44.06 94203 [hyper,92304,11] {-} midp(A,A,$c6).
% 43.80/44.06 102391 [hyper,72347,46,93309,91721] {-} midp($c7,$c3,$c5).
% 43.80/44.06 102692 [hyper,102391,64,94203] {-} para($c7,$c3,$c6,$c5).
% 43.80/44.06 165569 [hyper,102692,10,85042] {-} perp($c7,$c3,$c1,$c2).
% 43.80/44.06 165570 [binary,165569.1,113.1] {-} $F.
% 43.80/44.06
% 43.80/44.06 % SZS output end Refutation
% 43.80/44.06 ------------ end of proof -------------
% 43.80/44.06
% 43.80/44.06
% 43.80/44.06 Search stopped by max_proofs option.
% 43.80/44.06
% 43.80/44.06
% 43.80/44.06 Search stopped by max_proofs option.
% 43.80/44.06
% 43.80/44.06 ============ end of search ============
% 43.80/44.06
% 43.80/44.06 That finishes the proof of the theorem.
% 43.80/44.06
% 43.80/44.06 Process 15238 finished Sat Jun 18 02:26:36 2022
%------------------------------------------------------------------------------