%------------------------------------------------------------------------------
% File : SOS---2.0
% Problem : GEO552+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : sos-script %s
% Computer : n006.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 06:20:52 EDT 2022
% Result : Theorem 66.70s 66.94s
% Output : Refutation 66.70s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : GEO552+1 : TPTP v8.1.0. Released v7.5.0.
% 0.06/0.13 % Command : sos-script %s
% 0.13/0.34 % Computer : n006.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Sat Jun 18 11:33:10 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.37 ----- Otter 3.2, August 2001 -----
% 0.13/0.37 The process was started by sandbox2 on n006.cluster.edu,
% 0.13/0.37 Sat Jun 18 11:33:10 2022
% 0.13/0.37 The command was "./sos". The process ID is 31249.
% 0.13/0.37
% 0.13/0.37 set(prolog_style_variables).
% 0.13/0.37 set(auto).
% 0.13/0.37 dependent: set(auto1).
% 0.13/0.37 dependent: set(process_input).
% 0.13/0.37 dependent: clear(print_kept).
% 0.13/0.37 dependent: clear(print_new_demod).
% 0.13/0.37 dependent: clear(print_back_demod).
% 0.13/0.37 dependent: clear(print_back_sub).
% 0.13/0.37 dependent: set(control_memory).
% 0.13/0.37 dependent: assign(max_mem, 12000).
% 0.13/0.37 dependent: assign(pick_given_ratio, 4).
% 0.13/0.37 dependent: assign(stats_level, 1).
% 0.13/0.37 dependent: assign(pick_semantic_ratio, 3).
% 0.13/0.37 dependent: assign(sos_limit, 5000).
% 0.13/0.37 dependent: assign(max_weight, 60).
% 0.13/0.37 clear(print_given).
% 0.13/0.37
% 0.13/0.37 formula_list(usable).
% 0.13/0.37
% 0.13/0.37 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=5.
% 0.13/0.37
% 0.13/0.37 This ia a non-Horn set with equality. The strategy will be
% 0.13/0.37 Knuth-Bendix, ordered hyper_res, ur_res, factoring, and
% 0.13/0.37 unit deletion, with positive clauses in sos and nonpositive
% 0.13/0.37 clauses in usable.
% 0.13/0.37
% 0.13/0.37 dependent: set(knuth_bendix).
% 0.13/0.37 dependent: set(para_from).
% 0.13/0.37 dependent: set(para_into).
% 0.13/0.37 dependent: clear(para_from_right).
% 0.13/0.37 dependent: clear(para_into_right).
% 0.13/0.37 dependent: set(para_from_vars).
% 0.13/0.37 dependent: set(eq_units_both_ways).
% 0.13/0.37 dependent: set(dynamic_demod_all).
% 0.13/0.37 dependent: set(dynamic_demod).
% 0.13/0.37 dependent: set(order_eq).
% 0.13/0.37 dependent: set(back_demod).
% 0.13/0.37 dependent: set(lrpo).
% 0.13/0.37 dependent: set(hyper_res).
% 0.13/0.37 dependent: set(unit_deletion).
% 0.13/0.37 dependent: set(factor).
% 0.13/0.37
% 0.13/0.37 ------------> process usable:
% 0.13/0.37 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).
% 0.13/0.37
% 0.13/0.37 ------------> process sos:
% 0.13/0.37 Following clause subsumed by 165 during input processing: 0 [copy,165,flip.1] {-} A=A.
% 0.13/0.37 165 back subsumes 146.
% 0.13/0.37 165 back subsumes 145.
% 0.13/0.37 165 back subsumes 144.
% 0.13/0.37 165 back subsumes 143.
% 0.13/0.37
% 0.13/0.37 ======= end of input processing =======
% 0.19/0.44
% 0.19/0.44
% 0.19/0.44 Failed to model usable list: disabling FINDER
% 0.19/0.44
% 0.19/0.44
% 0.19/0.44
% 0.19/0.44 -------------- Softie stats --------------
% 0.19/0.44
% 0.19/0.44 UPDATE_STOP: 300
% 0.19/0.44 SFINDER_TIME_LIMIT: 2
% 0.19/0.44 SHORT_CLAUSE_CUTOFF: 4
% 0.19/0.44 number of clauses in intial UL: 154
% 0.19/0.44 number of clauses initially in problem: 161
% 0.19/0.44 percentage of clauses intially in UL: 95
% 0.19/0.44 percentage of distinct symbols occuring in initial UL: 90
% 0.19/0.44 percent of all initial clauses that are short: 100
% 0.19/0.44 absolute distinct symbol count: 40
% 0.19/0.44 distinct predicate count: 12
% 0.19/0.44 distinct function count: 20
% 0.19/0.44 distinct constant count: 8
% 0.19/0.44
% 0.19/0.44 ---------- no more Softie stats ----------
% 0.19/0.44
% 0.19/0.44
% 0.19/0.44
% 0.19/0.44 =========== start of search ===========
% 7.10/7.29
% 7.10/7.29
% 7.10/7.29 Changing weight limit from 60 to 56.
% 7.10/7.29
% 7.10/7.29 Resetting weight limit to 56 after 250 givens.
% 7.10/7.29
% 9.42/9.66
% 9.42/9.66
% 9.42/9.66 Changing weight limit from 56 to 55.
% 9.42/9.66
% 9.42/9.66 Resetting weight limit to 55 after 265 givens.
% 9.42/9.66
% 11.70/11.88
% 11.70/11.88
% 11.70/11.88 Changing weight limit from 55 to 54.
% 11.70/11.88
% 11.70/11.88 Resetting weight limit to 54 after 280 givens.
% 11.70/11.88
% 13.53/13.75
% 13.53/13.75
% 13.53/13.75 Changing weight limit from 54 to 51.
% 13.53/13.75
% 13.53/13.75 Resetting weight limit to 51 after 285 givens.
% 13.53/13.75
% 16.04/16.22
% 16.04/16.22
% 16.04/16.22 Changing weight limit from 51 to 50.
% 16.04/16.22
% 16.04/16.22 Resetting weight limit to 50 after 295 givens.
% 16.04/16.22
% 18.25/18.47
% 18.25/18.47
% 18.25/18.47 Changing weight limit from 50 to 49.
% 18.25/18.47
% 18.25/18.47 Modelling stopped after 300 given clauses and 0.00 seconds
% 18.25/18.47
% 18.25/18.47
% 18.25/18.47 Resetting weight limit to 49 after 310 givens.
% 18.25/18.47
% 19.31/19.54
% 19.31/19.54
% 19.31/19.54 Changing weight limit from 49 to 45.
% 19.31/19.54
% 19.31/19.54 Resetting weight limit to 45 after 315 givens.
% 19.31/19.54
% 19.73/19.98
% 19.73/19.98
% 19.73/19.98 Changing weight limit from 45 to 36.
% 19.73/19.98
% 19.73/19.98 Resetting weight limit to 36 after 320 givens.
% 19.73/19.98
% 20.03/20.29
% 20.03/20.29
% 20.03/20.29 Changing weight limit from 36 to 31.
% 20.03/20.29
% 20.03/20.29 Resetting weight limit to 31 after 325 givens.
% 20.03/20.29
% 20.32/20.52
% 20.32/20.52
% 20.32/20.52 Changing weight limit from 31 to 30.
% 20.32/20.52
% 20.32/20.52 Resetting weight limit to 30 after 340 givens.
% 20.32/20.52
% 21.84/22.06
% 21.84/22.06
% 21.84/22.06 Changing weight limit from 30 to 29.
% 21.84/22.06
% 21.84/22.06 Resetting weight limit to 29 after 390 givens.
% 21.84/22.06
% 22.35/22.58
% 22.35/22.58
% 22.35/22.58 Changing weight limit from 29 to 11.
% 22.35/22.58
% 22.35/22.58 Resetting weight limit to 11 after 425 givens.
% 22.35/22.58
% 22.42/22.62
% 22.42/22.62
% 22.42/22.62 Changing weight limit from 11 to 10.
% 22.42/22.62
% 22.42/22.62 Resetting weight limit to 10 after 440 givens.
% 22.42/22.62
% 24.42/24.65
% 24.42/24.65
% 24.42/24.65 Changing weight limit from 10 to 9.
% 24.42/24.65
% 24.42/24.65 Resetting weight limit to 9 after 1080 givens.
% 24.42/24.65
% 29.94/30.16
% 29.94/30.16
% 29.94/30.16 Changing weight limit from 9 to 8.
% 29.94/30.16
% 29.94/30.16 Resetting weight limit to 8 after 3545 givens.
% 29.94/30.16
% 66.70/66.94
% 66.70/66.94 -- HEY sandbox2, WE HAVE A PROOF!! --
% 66.70/66.94
% 66.70/66.94 ----> UNIT CONFLICT at 65.23 sec ----> 137654 [binary,137653.1,113.1] {-} $F.
% 66.70/66.94
% 66.70/66.94 Length of proof is 78. Level of proof is 14.
% 66.70/66.94
% 66.70/66.94 ---------------- PROOF ----------------
% 66.70/66.94 % SZS status Theorem
% 66.70/66.94 % SZS output start Refutation
% 66.70/66.94
% 66.70/66.94 1 [] {+} -coll(A,B,C)|coll(A,C,B).
% 66.70/66.94 2 [] {+} -coll(A,B,C)|coll(B,A,C).
% 66.70/66.94 3 [] {+} -coll(A,B,C)| -coll(A,B,D)|coll(C,D,A).
% 66.70/66.94 5 [] {+} -para(A,B,C,D)|para(C,D,A,B).
% 66.70/66.94 6 [] {+} -para(A,B,C,D)| -para(C,D,E,F)|para(A,B,E,F).
% 66.70/66.94 7 [] {+} -perp(A,B,C,D)|perp(A,B,D,C).
% 66.70/66.94 8 [] {+} -perp(A,B,C,D)|perp(C,D,A,B).
% 66.70/66.94 9 [] {+} -perp(A,B,C,D)| -perp(C,D,E,F)|para(A,B,E,F).
% 66.70/66.94 10 [] {+} -para(A,B,C,D)| -perp(C,D,E,F)|perp(A,B,E,F).
% 66.70/66.94 11 [] {+} -midp(A,B,C)|midp(A,C,B).
% 66.70/66.94 14 [] {+} -cyclic(A,B,C,D)|cyclic(A,B,D,C).
% 66.70/66.94 15 [] {+} -cyclic(A,B,C,D)|cyclic(A,C,B,D).
% 66.70/66.94 17 [] {+} -cyclic(A,B,C,D)| -cyclic(A,B,C,E)|cyclic(B,C,D,E).
% 66.70/66.94 23 [] {+} -cong(A,B,C,D)|cong(A,B,D,C).
% 66.70/66.94 24 [] {+} -cong(A,B,C,D)|cong(C,D,A,B).
% 66.70/66.94 25 [] {+} -cong(A,B,C,D)| -cong(C,D,E,F)|cong(A,B,E,F).
% 66.70/66.94 40 [] {+} -para(A,B,C,D)|eqangle(A,B,E,F,C,D,E,F).
% 66.70/66.94 43 [] {+} -eqangle(A,B,A,C,D,B,D,C)| -coll(A,D,C)|cyclic(B,C,A,D).
% 66.70/66.94 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).
% 66.70/66.94 45 [] {+} -midp(A,B,C)| -midp(D,B,E)|para(A,D,C,E).
% 66.70/66.94 46 [] {+} -midp(A,B,C)| -para(A,D,C,E)| -coll(D,B,E)|midp(D,B,E).
% 66.70/66.94 57 [] {+} -cong(A,B,C,B)| -cong(A,D,C,D)|perp(A,C,B,D).
% 66.70/66.94 64 [] {+} -midp(A,B,C)| -midp(A,D,E)|para(B,D,C,E).
% 66.70/66.94 65 [] {+} -midp(A,B,C)| -para(B,D,C,E)| -para(B,E,C,D)|midp(A,D,E).
% 66.70/66.94 68 [] {+} -cong(A,B,A,C)| -coll(A,B,C)|midp(A,B,C).
% 66.70/66.94 69 [] {+} -midp(A,B,C)|cong(A,B,A,C).
% 66.70/66.94 70 [] {+} -midp(A,B,C)|coll(A,B,C).
% 66.70/66.94 113 [] {+} -perp($c2,$c3,$c6,$c4).
% 66.70/66.94 114 [factor,3.1.2] {+} -coll(A,B,C)|coll(C,C,A).
% 66.70/66.94 120 [factor,17.1.2] {+} -cyclic(A,B,C,D)|cyclic(B,C,D,D).
% 66.70/66.94 122 [factor,44.1.3] {+} -cyclic(A,B,C,D)| -cyclic(A,B,C,E)| -eqangle(C,A,C,B,D,D,D,E)|cong(A,B,D,E).
% 66.70/66.94 124 [factor,45.1.2] {+} -midp(A,B,C)|para(A,A,C,C).
% 66.70/66.94 128 [factor,64.1.2] {+} -midp(A,B,C)|para(B,B,C,C).
% 66.70/66.94 129 [factor,65.2.3] {+} -midp(A,B,C)| -para(B,D,C,D)|midp(A,D,D).
% 66.70/66.94 160 [] {-} perp($c8,$c6,$c7,$c4).
% 66.70/66.94 162 [] {-} coll($c3,$c8,$c6).
% 66.70/66.94 163 [] {-} coll($c3,$c7,$c4).
% 66.70/66.94 164 [] {-} midp($c2,$c7,$c8).
% 66.70/66.94 184 [hyper,162,2] {-} coll($c8,$c3,$c6).
% 66.70/66.94 185 [hyper,162,1] {-} coll($c3,$c6,$c8).
% 66.70/66.94 199 [hyper,163,2] {-} coll($c7,$c3,$c4).
% 66.70/66.94 200 [hyper,163,1] {-} coll($c3,$c4,$c7).
% 66.70/66.94 217 [hyper,164,128] {-} para($c7,$c7,$c8,$c8).
% 66.70/66.94 219 [hyper,164,70] {-} coll($c2,$c7,$c8).
% 66.70/66.94 220 [hyper,164,69] {-} cong($c2,$c7,$c2,$c8).
% 66.70/66.94 221 [hyper,164,11] {-} midp($c2,$c8,$c7).
% 66.70/66.94 234 [hyper,160,8] {-} perp($c7,$c4,$c8,$c6).
% 66.70/66.94 235 [hyper,160,7] {-} perp($c8,$c6,$c4,$c7).
% 66.70/66.94 266 [hyper,184,114] {-} coll($c6,$c6,$c8).
% 66.70/66.94 280 [hyper,185,114] {-} coll($c8,$c8,$c3).
% 66.70/66.94 325 [hyper,199,114] {-} coll($c4,$c4,$c7).
% 66.70/66.94 339 [hyper,200,114] {-} coll($c7,$c7,$c3).
% 66.70/66.94 353 [hyper,219,114] {-} coll($c8,$c8,$c2).
% 66.70/66.94 355 [hyper,219,1] {-} coll($c2,$c8,$c7).
% 66.70/66.94 372 [hyper,221,128] {-} para($c8,$c8,$c7,$c7).
% 66.70/66.94 382 [hyper,221,69] {-} cong($c2,$c8,$c2,$c7).
% 66.70/66.94 458 [hyper,266,114] {-} coll($c8,$c8,$c6).
% 66.70/66.94 741 [hyper,325,114] {-} coll($c7,$c7,$c4).
% 66.70/66.94 769 [hyper,339,1] {-} coll($c7,$c3,$c7).
% 66.70/66.94 898 [hyper,353,1] {-} coll($c8,$c2,$c8).
% 66.70/66.94 925 [hyper,355,114] {-} coll($c7,$c7,$c2).
% 66.70/66.94 1079 [hyper,458,3,353] {-} coll($c2,$c6,$c8).
% 66.70/66.94 1597 [hyper,769,114] {-} coll($c7,$c7,$c7).
% 66.70/66.94 1723 [hyper,898,2] {-} coll($c2,$c8,$c8).
% 66.70/66.94 1830 [hyper,925,3,741] {-} coll($c2,$c4,$c7).
% 66.70/66.94 2421 [hyper,1597,3,925] {-} coll($c2,$c7,$c7).
% 66.70/66.94 5529 [hyper,220,23] {-} cong($c2,$c7,$c8,$c2).
% 66.70/66.94 6066 [hyper,234,9,160] {-} para($c8,$c6,$c8,$c6).
% 66.70/66.94 6067 [hyper,234,9,160] {-} para($c7,$c4,$c7,$c4).
% 66.70/66.94 6068 [hyper,234,7] {-} perp($c7,$c4,$c6,$c8).
% 66.70/66.94 6115 [hyper,235,9,234] {-} para($c7,$c4,$c4,$c7).
% 66.70/66.94 6212 [hyper,372,6,217] {-} para($c8,$c8,$c8,$c8).
% 66.70/66.94 6328 [hyper,382,25,220] {-} cong($c2,$c7,$c2,$c7).
% 66.70/66.94 6329 [hyper,382,25,220] {-} cong($c2,$c8,$c2,$c8).
% 66.70/66.94 6704 [hyper,5529,24] {-} cong($c8,$c2,$c2,$c7).
% 66.70/66.94 6799 [hyper,6066,40] {-} eqangle($c8,$c6,A,B,$c8,$c6,A,B).
% 66.70/66.94 7008 [hyper,6115,5] {-} para($c4,$c7,$c7,$c4).
% 66.70/66.94 7216 [hyper,6212,40] {-} eqangle($c8,$c8,A,B,$c8,$c8,A,B).
% 66.70/66.94 7374 [hyper,6328,68,2421] {-} midp($c2,$c7,$c7).
% 66.70/66.94 7401 [hyper,7374,129,6067] {-} midp($c2,$c4,$c4).
% 66.70/66.94 7439 [hyper,7374,45,164] {-} para($c2,$c2,$c7,$c8).
% 66.70/66.94 7462 [hyper,7401,124] {-} para($c2,$c2,$c4,$c4).
% 66.70/66.94 7495 [hyper,7401,69] {-} cong($c2,$c4,$c2,$c4).
% 66.70/66.94 7498 [hyper,7401,64,221] {-} para($c4,$c8,$c4,$c7).
% 66.70/66.94 7519 [hyper,6329,68,1723] {-} midp($c2,$c8,$c8).
% 66.70/66.94 7551 [hyper,7519,129,6066] {-} midp($c2,$c6,$c6).
% 66.70/66.94 7671 [hyper,7551,69] {-} cong($c2,$c6,$c2,$c6).
% 66.70/66.94 8136 [hyper,6704,25,5529] {-} cong($c8,$c2,$c8,$c2).
% 66.70/66.94 9470 [hyper,7462,5] {-} para($c4,$c4,$c2,$c2).
% 66.70/66.94 9483 [hyper,7495,57,6328] {-} perp($c2,$c2,$c7,$c4).
% 66.70/66.94 9754 [hyper,7498,6,7008] {-} para($c4,$c8,$c7,$c4).
% 66.70/66.94 10678 [hyper,7671,57,6329] {-} perp($c2,$c2,$c8,$c6).
% 66.70/66.94 12417 [hyper,9470,6,7439] {-} para($c4,$c4,$c7,$c8).
% 66.70/66.94 12452 [hyper,9483,9,6068] {-} para($c2,$c2,$c6,$c8).
% 66.70/66.94 13606 [hyper,10678,9,235] {-} para($c2,$c2,$c4,$c7).
% 66.70/66.94 15908 [hyper,12452,46,7551,1079] {-} midp($c2,$c6,$c8).
% 66.70/66.94 19077 [hyper,13606,46,7401,1830] {-} midp($c2,$c4,$c7).
% 66.70/66.94 19132 [hyper,19077,65,12417,9754] {-} midp($c2,$c4,$c8).
% 66.70/66.94 19192 [hyper,19132,64,15908] {-} para($c6,$c4,$c8,$c8).
% 66.70/66.94 43384 [hyper,6799,43,280] {-} cyclic($c6,$c3,$c8,$c8).
% 66.70/66.94 44261 [hyper,7216,43,280] {-} cyclic($c8,$c3,$c8,$c8).
% 66.70/66.94 55685 [hyper,43384,15] {-} cyclic($c6,$c8,$c3,$c8).
% 66.70/66.94 55963 [hyper,44261,15] {-} cyclic($c8,$c8,$c3,$c8).
% 66.70/66.94 101342 [hyper,55685,14] {-} cyclic($c6,$c8,$c8,$c3).
% 66.70/66.94 113275 [hyper,101342,120] {-} cyclic($c8,$c8,$c3,$c3).
% 66.70/66.94 121561 [hyper,113275,17,55963] {-} cyclic($c8,$c3,$c8,$c3).
% 66.70/66.94 123938 [hyper,121561,122,44261,7216] {-} cong($c8,$c3,$c8,$c3).
% 66.70/66.94 126785 [hyper,123938,57,8136] {-} perp($c8,$c8,$c2,$c3).
% 66.70/66.94 131417 [hyper,126785,10,19192] {-} perp($c6,$c4,$c2,$c3).
% 66.70/66.94 137653 [hyper,131417,8] {-} perp($c2,$c3,$c6,$c4).
% 66.70/66.94 137654 [binary,137653.1,113.1] {-} $F.
% 66.70/66.94
% 66.70/66.94 % SZS output end Refutation
% 66.70/66.94 ------------ end of proof -------------
% 66.70/66.94
% 66.70/66.94
% 66.70/66.94 Search stopped by max_proofs option.
% 66.70/66.94
% 66.70/66.94
% 66.70/66.94 Search stopped by max_proofs option.
% 66.70/66.94
% 66.70/66.94 ============ end of search ============
% 66.70/66.94
% 66.70/66.94 That finishes the proof of the theorem.
% 66.70/66.94
% 66.70/66.94 Process 31249 finished Sat Jun 18 11:34:17 2022
%------------------------------------------------------------------------------