TSTP Solution File: GRP129-4.004 by SOS---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SOS---2.0
% Problem : GRP129-4.004 : TPTP v8.1.0. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : sos-script %s
% Computer : n007.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 11:41:46 EDT 2022
% Result : Unsatisfiable 2.34s 2.58s
% Output : Refutation 2.34s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.08 % Problem : GRP129-4.004 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.05/0.09 % Command : sos-script %s
% 0.08/0.28 % Computer : n007.cluster.edu
% 0.08/0.28 % Model : x86_64 x86_64
% 0.08/0.28 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.28 % Memory : 8042.1875MB
% 0.08/0.28 % OS : Linux 3.10.0-693.el7.x86_64
% 0.08/0.28 % CPULimit : 300
% 0.08/0.28 % WCLimit : 600
% 0.08/0.28 % DateTime : Mon Jun 13 07:01:23 EDT 2022
% 0.08/0.28 % CPUTime :
% 0.08/0.30 ----- Otter 3.2, August 2001 -----
% 0.08/0.30 The process was started by sandbox on n007.cluster.edu,
% 0.08/0.30 Mon Jun 13 07:01:23 2022
% 0.08/0.30 The command was "./sos". The process ID is 17678.
% 0.08/0.30
% 0.08/0.30 set(prolog_style_variables).
% 0.08/0.30 set(auto).
% 0.08/0.30 dependent: set(auto1).
% 0.08/0.30 dependent: set(process_input).
% 0.08/0.30 dependent: clear(print_kept).
% 0.08/0.30 dependent: clear(print_new_demod).
% 0.08/0.30 dependent: clear(print_back_demod).
% 0.08/0.30 dependent: clear(print_back_sub).
% 0.08/0.30 dependent: set(control_memory).
% 0.08/0.30 dependent: assign(max_mem, 12000).
% 0.08/0.30 dependent: assign(pick_given_ratio, 4).
% 0.08/0.30 dependent: assign(stats_level, 1).
% 0.08/0.30 dependent: assign(pick_semantic_ratio, 3).
% 0.08/0.30 dependent: assign(sos_limit, 5000).
% 0.08/0.30 dependent: assign(max_weight, 60).
% 0.08/0.30 clear(print_given).
% 0.08/0.30
% 0.08/0.30 list(usable).
% 0.08/0.30
% 0.08/0.30 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=6.
% 0.08/0.30
% 0.08/0.30 This ia a non-Horn set with equality. The strategy will be
% 0.08/0.30 Knuth-Bendix, ordered hyper_res, ur_res, factoring, and
% 0.08/0.30 unit deletion, with positive clauses in sos and nonpositive
% 0.08/0.30 clauses in usable.
% 0.08/0.30
% 0.08/0.30 dependent: set(knuth_bendix).
% 0.08/0.30 dependent: set(para_from).
% 0.08/0.30 dependent: set(para_into).
% 0.08/0.30 dependent: clear(para_from_right).
% 0.08/0.30 dependent: clear(para_into_right).
% 0.08/0.30 dependent: set(para_from_vars).
% 0.08/0.30 dependent: set(eq_units_both_ways).
% 0.08/0.30 dependent: set(dynamic_demod_all).
% 0.08/0.30 dependent: set(dynamic_demod).
% 0.08/0.30 dependent: set(order_eq).
% 0.08/0.30 dependent: set(back_demod).
% 0.08/0.30 dependent: set(lrpo).
% 0.08/0.30 dependent: set(hyper_res).
% 0.08/0.30 dependent: set(unit_deletion).
% 0.08/0.30 dependent: set(factor).
% 0.08/0.30
% 0.08/0.30 ------------> process usable:
% 0.08/0.30 Following clause subsumed by 6 during input processing: 0 [] {-} -equalish(e_2,e_1).
% 0.08/0.30 Following clause subsumed by 8 during input processing: 0 [] {-} -equalish(e_3,e_1).
% 0.08/0.30 Following clause subsumed by 12 during input processing: 0 [] {-} -equalish(e_3,e_2).
% 0.08/0.30 Following clause subsumed by 10 during input processing: 0 [] {-} -equalish(e_4,e_1).
% 0.08/0.30 Following clause subsumed by 14 during input processing: 0 [] {-} -equalish(e_4,e_2).
% 0.08/0.30 Following clause subsumed by 16 during input processing: 0 [] {-} -equalish(e_4,e_3).
% 0.08/0.30
% 0.08/0.30 ------------> process sos:
% 0.08/0.30
% 0.08/0.30 ======= end of input processing =======
% 0.13/0.34
% 0.13/0.34 Model 1 (0.00 seconds, 0 Inserts)
% 0.13/0.34
% 0.13/0.34 Stopped by limit on number of solutions
% 0.13/0.34
% 0.13/0.34
% 0.13/0.34 -------------- Softie stats --------------
% 0.13/0.34
% 0.13/0.34 UPDATE_STOP: 300
% 0.13/0.34 SFINDER_TIME_LIMIT: 2
% 0.13/0.34 SHORT_CLAUSE_CUTOFF: 4
% 0.13/0.34 number of clauses in intial UL: 22
% 0.13/0.34 number of clauses initially in problem: 26
% 0.13/0.34 percentage of clauses intially in UL: 84
% 0.13/0.34 percentage of distinct symbols occuring in initial UL: 100
% 0.13/0.34 percent of all initial clauses that are short: 100
% 0.13/0.34 absolute distinct symbol count: 7
% 0.13/0.34 distinct predicate count: 3
% 0.13/0.34 distinct function count: 0
% 0.13/0.34 distinct constant count: 4
% 0.13/0.34
% 0.13/0.34 ---------- no more Softie stats ----------
% 0.13/0.34
% 0.13/0.34
% 0.13/0.34
% 0.13/0.34 =========== start of search ===========
% 2.34/2.58
% 2.34/2.58 -------- PROOF --------
% 2.34/2.58 % SZS status Unsatisfiable
% 2.34/2.58 % SZS output start Refutation
% 2.34/2.58
% 2.34/2.58 Model 2 (0.00 seconds, 0 Inserts)
% 2.34/2.58
% 2.34/2.58 Stopped by limit on number of solutions
% 2.34/2.58
% 2.34/2.58 Model 3 [ 1 3 8412 ] (0.00 seconds, 36529 Inserts)
% 2.34/2.58
% 2.34/2.58 Model 4 [ 2 4 16656 ] (0.00 seconds, 37199 Inserts)
% 2.34/2.58
% 2.34/2.58 Model 5 [ 2 1 3288 ] (0.00 seconds, 9160 Inserts)
% 2.34/2.58
% 2.34/2.58 Model 6 [ 3 4 17377 ] (0.00 seconds, 91996 Inserts)
% 2.34/2.58
% 2.34/2.58 Model 7 [ 3 1 1036 ] (0.00 seconds, 9763 Inserts)
% 2.34/2.58
% 2.34/2.58 Model 8 [ 3 5 44327 ] (0.00 seconds, 79045 Inserts)
% 2.34/2.58
% 2.34/2.58 Model 9 [ 6 2 8236 ] (0.00 seconds, 51433 Inserts)
% 2.34/2.58
% 2.34/2.58 Model 10 [ 10 1 762 ] (0.00 seconds, 15600 Inserts)
% 2.34/2.58
% 2.34/2.58 ----> UNIT CONFLICT at 2.24 sec ----> 1730 [binary,1728.1,14.1] {+} $F.
% 2.34/2.58
% 2.34/2.58 Length of proof is 49. Level of proof is 19.
% 2.34/2.58
% 2.34/2.58 ---------------- PROOF ----------------
% 2.34/2.58 % SZS status Unsatisfiable
% 2.34/2.58 % SZS output start Refutation
% 2.34/2.58
% 2.34/2.58 1 [] {+} -group_element(A)| -group_element(B)|product(e_1,A,B)|product(e_2,A,B)|product(e_3,A,B)|product(e_4,A,B).
% 2.34/2.58 2 [] {+} -group_element(A)| -group_element(B)|product(A,e_1,B)|product(A,e_2,B)|product(A,e_3,B)|product(A,e_4,B).
% 2.34/2.58 3 [] {+} product(A,B,C)| -product(C,A,D)| -product(B,C,D).
% 2.34/2.58 4 [] {+} product(A,B,C)| -product(B,D,C)| -product(D,A,B).
% 2.34/2.58 5 [] {-} -equalish(e_1,e_2).
% 2.34/2.58 6 [copy,5,flip.1] {+} -equalish(e_2,e_1).
% 2.34/2.58 7 [] {-} -equalish(e_1,e_3).
% 2.34/2.58 8 [copy,7,flip.1] {+} -equalish(e_3,e_1).
% 2.34/2.58 9 [] {-} -equalish(e_1,e_4).
% 2.34/2.58 10 [copy,9,flip.1] {+} -equalish(e_4,e_1).
% 2.34/2.58 11 [] {-} -equalish(e_2,e_3).
% 2.34/2.58 12 [copy,11,flip.1] {+} -equalish(e_3,e_2).
% 2.34/2.58 13 [] {-} -equalish(e_2,e_4).
% 2.34/2.58 14 [copy,13,flip.1] {+} -equalish(e_4,e_2).
% 2.34/2.58 15 [] {-} -equalish(e_3,e_4).
% 2.34/2.58 16 [copy,15,flip.1] {+} -equalish(e_4,e_3).
% 2.34/2.58 17 [] {+} -group_element(A)| -group_element(B)|product(A,B,e_1)|product(A,B,e_2)|product(A,B,e_3)|product(A,B,e_4).
% 2.34/2.58 18 [] {+} -product(A,B,C)| -product(A,B,D)|equalish(C,D).
% 2.34/2.58 19 [] {+} -product(A,B,C)| -product(A,D,C)|equalish(B,D).
% 2.34/2.58 20 [] {+} -product(A,B,C)| -product(D,B,C)|equalish(A,D).
% 2.34/2.58 21 [] {+} -product(A,B,C)| -product(B,C,D)|product(C,A,D).
% 2.34/2.58 24 [factor,3.2.3] {+} product(A,A,A)| -product(A,A,B).
% 2.34/2.58 25 [factor,17.1.2] {+} -group_element(A)|product(A,A,e_1)|product(A,A,e_2)|product(A,A,e_3)|product(A,A,e_4).
% 2.34/2.58 29 [] {+} group_element(e_1).
% 2.34/2.58 30 [] {+} group_element(e_2).
% 2.34/2.58 33 [hyper,29,25] {-} product(e_1,e_1,e_1)|product(e_1,e_1,e_2)|product(e_1,e_1,e_3)|product(e_1,e_1,e_4).
% 2.34/2.58 39 [hyper,30,25] {-} product(e_2,e_2,e_1)|product(e_2,e_2,e_2)|product(e_2,e_2,e_3)|product(e_2,e_2,e_4).
% 2.34/2.58 42 [hyper,30,17,29] {-} product(e_1,e_2,e_1)|product(e_1,e_2,e_2)|product(e_1,e_2,e_3)|product(e_1,e_2,e_4).
% 2.34/2.58 43 [hyper,30,17,29] {-} product(e_2,e_1,e_1)|product(e_2,e_1,e_2)|product(e_2,e_1,e_3)|product(e_2,e_1,e_4).
% 2.34/2.58 44 [hyper,30,2,29] {-} product(e_1,e_1,e_2)|product(e_1,e_2,e_2)|product(e_1,e_3,e_2)|product(e_1,e_4,e_2).
% 2.34/2.58 47 [hyper,30,1,29] {-} product(e_1,e_2,e_1)|product(e_2,e_2,e_1)|product(e_3,e_2,e_1)|product(e_4,e_2,e_1).
% 2.34/2.58 107 [hyper,33,24,factor_simp] {-} product(e_1,e_1,e_1)|product(e_1,e_1,e_3)|product(e_1,e_1,e_4).
% 2.34/2.58 117 [hyper,107,24,factor_simp] {+} product(e_1,e_1,e_1)|product(e_1,e_1,e_4).
% 2.34/2.58 124 [hyper,117,24,factor_simp] {+} product(e_1,e_1,e_1).
% 2.34/2.58 158 [hyper,39,24,factor_simp] {-} product(e_2,e_2,e_2)|product(e_2,e_2,e_3)|product(e_2,e_2,e_4).
% 2.34/2.58 169 [hyper,158,24,factor_simp] {+} product(e_2,e_2,e_2)|product(e_2,e_2,e_4).
% 2.34/2.58 176 [hyper,169,24,factor_simp] {+} product(e_2,e_2,e_2).
% 2.34/2.58 178 [hyper,42,19,124,unit_del,6] {-} product(e_1,e_2,e_2)|product(e_1,e_2,e_3)|product(e_1,e_2,e_4).
% 2.34/2.58 195 [hyper,178,20,176,unit_del,6] {-} product(e_1,e_2,e_3)|product(e_1,e_2,e_4).
% 2.34/2.58 234 [hyper,43,20,124,unit_del,6] {-} product(e_2,e_1,e_2)|product(e_2,e_1,e_3)|product(e_2,e_1,e_4).
% 2.34/2.58 255 [hyper,234,19,176,unit_del,6] {-} product(e_2,e_1,e_3)|product(e_2,e_1,e_4).
% 2.34/2.58 263 [hyper,255,3,195] {-} product(e_2,e_1,e_4)|product(e_2,e_2,e_1)|product(e_1,e_2,e_4).
% 2.34/2.58 266 [hyper,255,3,195] {-} product(e_2,e_1,e_3)|product(e_2,e_2,e_1)|product(e_1,e_2,e_3).
% 2.34/2.58 294 [hyper,44,18,124,unit_del,6] {-} product(e_1,e_2,e_2)|product(e_1,e_3,e_2)|product(e_1,e_4,e_2).
% 2.34/2.58 335 [hyper,263,18,176,unit_del,6] {-} product(e_2,e_1,e_4)|product(e_1,e_2,e_4).
% 2.34/2.58 383 [hyper,266,18,176,unit_del,6] {-} product(e_2,e_1,e_3)|product(e_1,e_2,e_3).
% 2.34/2.58 436 [hyper,294,20,176,unit_del,6] {-} product(e_1,e_3,e_2)|product(e_1,e_4,e_2).
% 2.34/2.58 455 [hyper,47,19,124,unit_del,6] {-} product(e_2,e_2,e_1)|product(e_3,e_2,e_1)|product(e_4,e_2,e_1).
% 2.34/2.58 474 [hyper,436,21,383] {-} product(e_1,e_4,e_2)|product(e_3,e_2,e_2)|product(e_1,e_2,e_3).
% 2.34/2.58 836 [hyper,455,18,176,unit_del,6] {-} product(e_3,e_2,e_1)|product(e_4,e_2,e_1).
% 2.34/2.58 1037 [hyper,474,20,176,unit_del,12] {-} product(e_1,e_4,e_2)|product(e_1,e_2,e_3).
% 2.34/2.58 1050 [hyper,1037,4,383,factor_simp] {-} product(e_1,e_2,e_3)|product(e_4,e_2,e_3).
% 2.34/2.58 1060 [hyper,1037,18,335,unit_del,16] {-} product(e_1,e_4,e_2)|product(e_2,e_1,e_4).
% 2.34/2.58 1092 [hyper,1050,18,335,unit_del,16] {-} product(e_4,e_2,e_3)|product(e_2,e_1,e_4).
% 2.34/2.58 1102 [hyper,1050,18,836,unit_del,8] {-} product(e_1,e_2,e_3)|product(e_3,e_2,e_1).
% 2.34/2.58 1202 [hyper,1060,4,436,factor_simp] {-} product(e_1,e_4,e_2)|product(e_3,e_2,e_4).
% 2.34/2.58 1230 [hyper,1092,18,836,unit_del,8] {-} product(e_2,e_1,e_4)|product(e_3,e_2,e_1).
% 2.34/2.58 1318 [hyper,1102,4,383,factor_simp] {-} product(e_1,e_2,e_3)|product(e_1,e_3,e_1).
% 2.34/2.58 1359 [hyper,1202,18,836,unit_del,10] {-} product(e_1,e_4,e_2)|product(e_4,e_2,e_1).
% 2.34/2.58 1410 [hyper,1230,4,836,factor_simp] {-} product(e_3,e_2,e_1)|product(e_1,e_4,e_1).
% 2.34/2.58 1554 [hyper,1318,19,124,unit_del,8] {-} product(e_1,e_2,e_3).
% 2.34/2.58 1559 [hyper,1554,20,1092,unit_del,10] {-} product(e_2,e_1,e_4).
% 2.34/2.58 1665 [hyper,1410,19,124,unit_del,10] {-} product(e_3,e_2,e_1).
% 2.34/2.58 1689 [hyper,1665,20,1359,unit_del,16] {-} product(e_1,e_4,e_2).
% 2.34/2.58 1712 [hyper,1689,21,1559] {+} product(e_4,e_2,e_2).
% 2.34/2.58 1728 [hyper,1712,20,176,flip.1] {-} equalish(e_4,e_2).
% 2.34/2.58 1730 [binary,1728.1,14.1] {+} $F.
% 2.34/2.58
% 2.34/2.58 % SZS output end Refutation
% 2.34/2.58 ------------ end of proof -------------
% 2.34/2.58
% 2.34/2.58
% 2.34/2.58 Search stopped by max_proofs option.
% 2.34/2.58
% 2.34/2.58
% 2.34/2.58 Search stopped by max_proofs option.
% 2.34/2.58
% 2.34/2.58 ============ end of search ============
% 2.34/2.58
% 2.34/2.58 ----------- soft-scott stats ----------
% 2.34/2.58
% 2.34/2.58 true clauses given 12 (12.6%)
% 2.34/2.58 false clauses given 83
% 2.34/2.58
% 2.34/2.58 FALSE TRUE
% 2.34/2.58 4 1 0
% 2.34/2.58 8 13 0
% 2.34/2.58 10 0 5
% 2.34/2.58 12 36 52
% 2.34/2.58 14 8 48
% 2.34/2.58 16 44 24
% 2.34/2.58 18 4 17
% 2.34/2.58 20 44 36
% 2.34/2.58 24 9 46
% 2.34/2.58 28 5 0
% 2.34/2.58 tot: 164 228 (58.2% true)
% 2.34/2.58
% 2.34/2.58
% 2.34/2.58 Model 10 [ 10 1 762 ] (0.00 seconds, 15600 Inserts)
% 2.34/2.58
% 2.34/2.58 That finishes the proof of the theorem.
% 2.34/2.58
% 2.34/2.58 Process 17678 finished Mon Jun 13 07:01:26 2022
%------------------------------------------------------------------------------