%------------------------------------------------------------------------------
% File : SOS---2.0
% Problem : GEO643+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : sos-script %s
% Computer : n015.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 06:21:18 EDT 2022
% Result : Theorem 30.95s 31.20s
% Output : Refutation 30.95s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.11 % Problem : GEO643+1 : TPTP v8.1.0. Released v7.5.0.
% 0.02/0.12 % Command : sos-script %s
% 0.12/0.33 % Computer : n015.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 14:08:13 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.19/0.36 ----- Otter 3.2, August 2001 -----
% 0.19/0.36 The process was started by sandbox on n015.cluster.edu,
% 0.19/0.36 Sat Jun 18 14:08:13 2022
% 0.19/0.36 The command was "./sos". The process ID is 15240.
% 0.19/0.36
% 0.19/0.36 set(prolog_style_variables).
% 0.19/0.36 set(auto).
% 0.19/0.36 dependent: set(auto1).
% 0.19/0.36 dependent: set(process_input).
% 0.19/0.36 dependent: clear(print_kept).
% 0.19/0.36 dependent: clear(print_new_demod).
% 0.19/0.36 dependent: clear(print_back_demod).
% 0.19/0.36 dependent: clear(print_back_sub).
% 0.19/0.36 dependent: set(control_memory).
% 0.19/0.36 dependent: assign(max_mem, 12000).
% 0.19/0.36 dependent: assign(pick_given_ratio, 4).
% 0.19/0.36 dependent: assign(stats_level, 1).
% 0.19/0.36 dependent: assign(pick_semantic_ratio, 3).
% 0.19/0.36 dependent: assign(sos_limit, 5000).
% 0.19/0.36 dependent: assign(max_weight, 60).
% 0.19/0.36 clear(print_given).
% 0.19/0.36
% 0.19/0.36 formula_list(usable).
% 0.19/0.36
% 0.19/0.36 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=5.
% 0.19/0.36
% 0.19/0.36 This ia a non-Horn set with equality. The strategy will be
% 0.19/0.36 Knuth-Bendix, ordered hyper_res, ur_res, factoring, and
% 0.19/0.36 unit deletion, with positive clauses in sos and nonpositive
% 0.19/0.36 clauses in usable.
% 0.19/0.36
% 0.19/0.36 dependent: set(knuth_bendix).
% 0.19/0.36 dependent: set(para_from).
% 0.19/0.36 dependent: set(para_into).
% 0.19/0.36 dependent: clear(para_from_right).
% 0.19/0.36 dependent: clear(para_into_right).
% 0.19/0.36 dependent: set(para_from_vars).
% 0.19/0.36 dependent: set(eq_units_both_ways).
% 0.19/0.36 dependent: set(dynamic_demod_all).
% 0.19/0.36 dependent: set(dynamic_demod).
% 0.19/0.36 dependent: set(order_eq).
% 0.19/0.36 dependent: set(back_demod).
% 0.19/0.36 dependent: set(lrpo).
% 0.19/0.36 dependent: set(hyper_res).
% 0.19/0.36 dependent: set(unit_deletion).
% 0.19/0.36 dependent: set(factor).
% 0.19/0.36
% 0.19/0.36 ------------> process usable:
% 0.19/0.36 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).
% 0.19/0.36
% 0.19/0.36 ------------> process sos:
% 0.19/0.36 Following clause subsumed by 167 during input processing: 0 [copy,167,flip.1] {-} A=A.
% 0.19/0.36 167 back subsumes 146.
% 0.19/0.36 167 back subsumes 145.
% 0.19/0.36 167 back subsumes 144.
% 0.19/0.36 167 back subsumes 143.
% 0.19/0.36
% 0.19/0.36 ======= 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: 163
% 0.19/0.43 percentage of clauses intially in UL: 94
% 0.19/0.43 percentage of distinct symbols occuring in initial UL: 85
% 0.19/0.43 percent of all initial clauses that are short: 100
% 0.19/0.43 absolute distinct symbol count: 42
% 0.19/0.43 distinct predicate count: 12
% 0.19/0.43 distinct function count: 20
% 0.19/0.43 distinct constant count: 10
% 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 ===========
% 8.11/8.34
% 8.11/8.34
% 8.11/8.34 Changing weight limit from 60 to 56.
% 8.11/8.34
% 8.11/8.34 Resetting weight limit to 56 after 275 givens.
% 8.11/8.34
% 9.64/9.84
% 9.64/9.84
% 9.64/9.84 Changing weight limit from 56 to 55.
% 9.64/9.84
% 9.64/9.84 Resetting weight limit to 55 after 280 givens.
% 9.64/9.84
% 13.14/13.39
% 13.14/13.39
% 13.14/13.39 Changing weight limit from 55 to 54.
% 13.14/13.39
% 13.14/13.39 Modelling stopped after 300 given clauses and 0.00 seconds
% 13.14/13.39
% 13.14/13.39
% 13.14/13.39 Resetting weight limit to 54 after 310 givens.
% 13.14/13.39
% 14.61/14.80
% 14.61/14.80
% 14.61/14.80 Changing weight limit from 54 to 52.
% 14.61/14.80
% 14.61/14.80 Resetting weight limit to 52 after 330 givens.
% 14.61/14.80
% 14.67/14.92
% 14.67/14.92
% 14.67/14.92 Changing weight limit from 52 to 51.
% 14.67/14.92
% 14.67/14.92 Resetting weight limit to 51 after 335 givens.
% 14.67/14.92
% 16.94/17.12
% 16.94/17.12
% 16.94/17.12 Changing weight limit from 51 to 50.
% 16.94/17.12
% 16.94/17.12 Resetting weight limit to 50 after 370 givens.
% 16.94/17.12
% 22.97/23.20
% 22.97/23.20
% 22.97/23.20 Changing weight limit from 50 to 45.
% 22.97/23.20
% 22.97/23.20 Resetting weight limit to 45 after 440 givens.
% 22.97/23.20
% 24.02/24.24
% 24.02/24.24
% 24.02/24.24 Changing weight limit from 45 to 34.
% 24.02/24.24
% 24.02/24.24 Resetting weight limit to 34 after 445 givens.
% 24.02/24.24
% 24.33/24.52
% 24.33/24.52
% 24.33/24.52 Changing weight limit from 34 to 30.
% 24.33/24.52
% 24.33/24.52 Resetting weight limit to 30 after 450 givens.
% 24.33/24.52
% 27.12/27.31
% 27.12/27.31
% 27.12/27.31 Changing weight limit from 30 to 29.
% 27.12/27.31
% 27.12/27.31 Resetting weight limit to 29 after 655 givens.
% 27.12/27.31
% 27.95/28.14
% 27.95/28.14
% 27.95/28.14 Changing weight limit from 29 to 26.
% 27.95/28.14
% 27.95/28.14 Resetting weight limit to 26 after 880 givens.
% 27.95/28.14
% 27.95/28.18
% 27.95/28.18
% 27.95/28.18 Changing weight limit from 26 to 21.
% 27.95/28.18
% 27.95/28.18 Resetting weight limit to 21 after 945 givens.
% 27.95/28.18
% 27.95/28.18
% 27.95/28.18
% 27.95/28.18 Changing weight limit from 21 to 19.
% 27.95/28.18
% 27.95/28.18 Resetting weight limit to 19 after 955 givens.
% 27.95/28.18
% 27.95/28.19
% 27.95/28.19
% 27.95/28.19 Changing weight limit from 19 to 18.
% 27.95/28.19
% 27.95/28.19 Resetting weight limit to 18 after 960 givens.
% 27.95/28.19
% 28.21/28.42
% 28.21/28.42
% 28.21/28.42 Changing weight limit from 18 to 17.
% 28.21/28.42
% 28.21/28.42 Resetting weight limit to 17 after 1135 givens.
% 28.21/28.42
% 28.21/28.42
% 28.21/28.42
% 28.21/28.42 Changing weight limit from 17 to 16.
% 28.21/28.42
% 28.21/28.42 Resetting weight limit to 16 after 1140 givens.
% 28.21/28.42
% 28.21/28.45
% 28.21/28.45
% 28.21/28.45 Changing weight limit from 16 to 14.
% 28.21/28.45
% 28.21/28.45 Resetting weight limit to 14 after 1170 givens.
% 28.21/28.45
% 28.52/28.74
% 28.52/28.74
% 28.52/28.74 Changing weight limit from 14 to 13.
% 28.52/28.74
% 28.52/28.74 Resetting weight limit to 13 after 1375 givens.
% 28.52/28.74
% 28.61/28.79
% 28.61/28.79
% 28.61/28.79 Changing weight limit from 13 to 12.
% 28.61/28.79
% 28.61/28.79 Resetting weight limit to 12 after 1415 givens.
% 28.61/28.79
% 28.65/28.83
% 28.65/28.83
% 28.65/28.83 Changing weight limit from 12 to 10.
% 28.65/28.83
% 28.65/28.83 Resetting weight limit to 10 after 1470 givens.
% 28.65/28.83
% 29.91/30.12
% 29.91/30.12
% 29.91/30.12 Changing weight limit from 10 to 9.
% 29.91/30.12
% 29.91/30.12 Resetting weight limit to 9 after 2230 givens.
% 29.91/30.12
% 30.50/30.71
% 30.50/30.71
% 30.50/30.71 Changing weight limit from 9 to 8.
% 30.50/30.71
% 30.50/30.71 Resetting weight limit to 8 after 2650 givens.
% 30.50/30.71
% 30.81/31.00
% 30.81/31.00
% 30.81/31.00 Changing weight limit from 8 to 5.
% 30.81/31.00
% 30.81/31.00 Resetting weight limit to 5 after 2820 givens.
% 30.81/31.00
% 30.95/31.20
% 30.95/31.20 -- HEY sandbox, WE HAVE A PROOF!! --
% 30.95/31.20
% 30.95/31.20 ----> UNIT CONFLICT at 30.75 sec ----> 42818 [binary,42817.1,113.1] {-} $F.
% 30.95/31.20
% 30.95/31.20 Length of proof is 63. Level of proof is 15.
% 30.95/31.20
% 30.95/31.20 ---------------- PROOF ----------------
% 30.95/31.20 % SZS status Theorem
% 30.95/31.20 % SZS output start Refutation
% 30.95/31.20
% 30.95/31.20 1 [] {+} -coll(A,B,C)|coll(A,C,B).
% 30.95/31.20 2 [] {+} -coll(A,B,C)|coll(B,A,C).
% 30.95/31.20 3 [] {+} -coll(A,B,C)| -coll(A,B,D)|coll(C,D,A).
% 30.95/31.20 8 [] {+} -perp(A,B,C,D)|perp(C,D,A,B).
% 30.95/31.20 9 [] {+} -perp(A,B,C,D)| -perp(C,D,E,F)|para(A,B,E,F).
% 30.95/31.20 14 [] {+} -cyclic(A,B,C,D)|cyclic(A,B,D,C).
% 30.95/31.20 15 [] {+} -cyclic(A,B,C,D)|cyclic(A,C,B,D).
% 30.95/31.20 17 [] {+} -cyclic(A,B,C,D)| -cyclic(A,B,C,E)|cyclic(B,C,D,E).
% 30.95/31.20 40 [] {+} -para(A,B,C,D)|eqangle(A,B,E,F,C,D,E,F).
% 30.95/31.20 43 [] {+} -eqangle(A,B,A,C,D,B,D,C)| -coll(A,D,C)|cyclic(B,C,A,D).
% 30.95/31.20 67 [] {+} -para(A,B,A,C)|coll(A,B,C).
% 30.95/31.20 99 [] {+} -circle(A,B,C,D)|perp($f12(B,C,D,A),B,B,A).
% 30.95/31.20 113 [] {+} -cyclic($c2,$c1,$c3,$c4).
% 30.95/31.20 114 [factor,3.1.2] {+} -coll(A,B,C)|coll(C,C,A).
% 30.95/31.20 160 [] {-} coll($c6,$c10,$c7).
% 30.95/31.20 161 [] {-} coll($c5,$c9,$c6).
% 30.95/31.20 163 [] {-} circle($c4,$c7,$c6,$c5).
% 30.95/31.20 164 [] {-} circle($c3,$c10,$c8,$c7).
% 30.95/31.20 165 [] {-} circle($c2,$c9,$c8,$c5).
% 30.95/31.20 166 [] {-} circle($c1,$c9,$c10,$c6).
% 30.95/31.20 183 [hyper,160,114] {-} coll($c7,$c7,$c6).
% 30.95/31.20 184 [hyper,160,2] {-} coll($c10,$c6,$c7).
% 30.95/31.20 199 [hyper,161,2] {-} coll($c9,$c5,$c6).
% 30.95/31.20 228 [hyper,163,99] {-} perp($f12($c7,$c6,$c5,$c4),$c7,$c7,$c4).
% 30.95/31.20 287 [hyper,183,114] {-} coll($c6,$c6,$c7).
% 30.95/31.20 301 [hyper,164,99] {-} perp($f12($c10,$c8,$c7,$c3),$c10,$c10,$c3).
% 30.95/31.20 318 [hyper,184,114] {-} coll($c7,$c7,$c10).
% 30.95/31.20 360 [hyper,199,114] {-} coll($c6,$c6,$c9).
% 30.95/31.20 374 [hyper,165,99] {-} perp($f12($c9,$c8,$c5,$c2),$c9,$c9,$c2).
% 30.95/31.20 449 [hyper,166,99] {-} perp($f12($c9,$c10,$c6,$c1),$c9,$c9,$c1).
% 30.95/31.20 714 [hyper,318,114] {-} coll($c10,$c10,$c7).
% 30.95/31.20 868 [hyper,360,3,287] {-} coll($c7,$c9,$c6).
% 30.95/31.20 1931 [hyper,868,1] {-} coll($c7,$c6,$c9).
% 30.95/31.20 3799 [hyper,1931,114] {-} coll($c9,$c9,$c7).
% 30.95/31.20 5436 [hyper,228,8] {-} perp($c7,$c4,$f12($c7,$c6,$c5,$c4),$c7).
% 30.95/31.20 5618 [hyper,301,8] {-} perp($c10,$c3,$f12($c10,$c8,$c7,$c3),$c10).
% 30.95/31.20 5652 [hyper,374,8] {-} perp($c9,$c2,$f12($c9,$c8,$c5,$c2),$c9).
% 30.95/31.20 5686 [hyper,449,8] {-} perp($c9,$c1,$f12($c9,$c10,$c6,$c1),$c9).
% 30.95/31.20 5721 [hyper,5436,9,228] {-} para($c7,$c4,$c7,$c4).
% 30.95/31.20 5855 [hyper,5721,67] {-} coll($c7,$c4,$c4).
% 30.95/31.20 5856 [hyper,5721,40] {-} eqangle($c7,$c4,A,B,$c7,$c4,A,B).
% 30.95/31.20 5874 [hyper,5855,114] {-} coll($c4,$c4,$c7).
% 30.95/31.20 5889 [hyper,5874,114] {-} coll($c7,$c7,$c4).
% 30.95/31.20 13267 [hyper,5618,9,301] {-} para($c10,$c3,$c10,$c3).
% 30.95/31.20 13269 [hyper,13267,67] {-} coll($c10,$c3,$c3).
% 30.95/31.20 13272 [hyper,13269,114] {-} coll($c3,$c3,$c10).
% 30.95/31.20 13275 [hyper,13272,114] {-} coll($c10,$c10,$c3).
% 30.95/31.20 13296 [hyper,13275,3,714] {-} coll($c3,$c7,$c10).
% 30.95/31.20 13309 [hyper,5652,9,374] {-} para($c9,$c2,$c9,$c2).
% 30.95/31.20 13333 [hyper,5686,9,449] {-} para($c9,$c1,$c9,$c1).
% 30.95/31.20 13337 [hyper,13296,1] {-} coll($c3,$c10,$c7).
% 30.95/31.20 13490 [hyper,13337,114] {-} coll($c7,$c7,$c3).
% 30.95/31.20 13545 [hyper,5856,43,5889] {-} cyclic($c4,$c4,$c7,$c7).
% 30.95/31.20 14552 [hyper,13490,43,5856] {-} cyclic($c4,$c3,$c7,$c7).
% 30.95/31.20 15008 [hyper,13309,67] {-} coll($c9,$c2,$c2).
% 30.95/31.20 15027 [hyper,15008,114] {-} coll($c2,$c2,$c9).
% 30.95/31.20 15030 [hyper,15027,114] {-} coll($c9,$c9,$c2).
% 30.95/31.20 15050 [hyper,15030,3,3799] {-} coll($c2,$c7,$c9).
% 30.95/31.20 15137 [hyper,15050,1] {-} coll($c2,$c9,$c7).
% 30.95/31.20 15399 [hyper,15137,114] {-} coll($c7,$c7,$c2).
% 30.95/31.20 16439 [hyper,15399,43,5856] {-} cyclic($c4,$c2,$c7,$c7).
% 30.95/31.20 16912 [hyper,13333,67] {-} coll($c9,$c1,$c1).
% 30.95/31.20 16914 [hyper,16912,114] {-} coll($c1,$c1,$c9).
% 30.95/31.20 16920 [hyper,16914,114] {-} coll($c9,$c9,$c1).
% 30.95/31.20 16940 [hyper,16920,3,3799] {-} coll($c1,$c7,$c9).
% 30.95/31.20 17032 [hyper,16940,1] {-} coll($c1,$c9,$c7).
% 30.95/31.20 17395 [hyper,17032,114] {-} coll($c7,$c7,$c1).
% 30.95/31.20 18607 [hyper,17395,43,5856] {-} cyclic($c4,$c1,$c7,$c7).
% 30.95/31.20 19531 [hyper,13545,15] {-} cyclic($c4,$c7,$c4,$c7).
% 30.95/31.20 19554 [hyper,14552,15] {-} cyclic($c4,$c7,$c3,$c7).
% 30.95/31.20 19974 [hyper,16439,15] {-} cyclic($c4,$c7,$c2,$c7).
% 30.95/31.20 20394 [hyper,18607,15] {-} cyclic($c4,$c7,$c1,$c7).
% 30.95/31.20 20617 [hyper,19531,14] {-} cyclic($c4,$c7,$c7,$c4).
% 30.95/31.20 20685 [hyper,19554,14] {-} cyclic($c4,$c7,$c7,$c3).
% 30.95/31.20 20927 [hyper,19974,14] {-} cyclic($c4,$c7,$c7,$c2).
% 30.95/31.20 21189 [hyper,20394,14] {-} cyclic($c4,$c7,$c7,$c1).
% 30.95/31.20 22909 [hyper,20927,17,20685] {-} cyclic($c7,$c7,$c2,$c3).
% 30.95/31.20 22915 [hyper,20927,17,20617] {-} cyclic($c7,$c7,$c2,$c4).
% 30.95/31.20 23584 [hyper,21189,17,20927] {-} cyclic($c7,$c7,$c2,$c1).
% 30.95/31.20 27905 [hyper,23584,17,22915] {-} cyclic($c7,$c2,$c1,$c4).
% 30.95/31.20 27911 [hyper,23584,17,22909] {-} cyclic($c7,$c2,$c1,$c3).
% 30.95/31.20 42817 [hyper,27911,17,27905] {-} cyclic($c2,$c1,$c3,$c4).
% 30.95/31.20 42818 [binary,42817.1,113.1] {-} $F.
% 30.95/31.20
% 30.95/31.20 % SZS output end Refutation
% 30.95/31.20 ------------ end of proof -------------
% 30.95/31.20
% 30.95/31.20
% 30.95/31.20 Search stopped by max_proofs option.
% 30.95/31.20
% 30.95/31.20
% 30.95/31.20 Search stopped by max_proofs option.
% 30.95/31.20
% 30.95/31.20 ============ end of search ============
% 30.95/31.20
% 30.95/31.20 That finishes the proof of the theorem.
% 30.95/31.20
% 30.95/31.20 Process 15240 finished Sat Jun 18 14:08:44 2022
%------------------------------------------------------------------------------