TSTP Solution File: GRP127-4.004 by SOS---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SOS---2.0
% Problem : GRP127-4.004 : TPTP v8.1.0. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : sos-script %s
% Computer : n021.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 11:41:41 EDT 2022
% Result : Unsatisfiable 2.04s 2.27s
% Output : Refutation 2.04s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : GRP127-4.004 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.00/0.12 % Command : sos-script %s
% 0.12/0.33 % Computer : n021.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 : Tue Jun 14 11:44:28 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.35 ----- Otter 3.2, August 2001 -----
% 0.18/0.35 The process was started by sandbox2 on n021.cluster.edu,
% 0.18/0.35 Tue Jun 14 11:44:28 2022
% 0.18/0.35 The command was "./sos". The process ID is 21866.
% 0.18/0.35
% 0.18/0.35 set(prolog_style_variables).
% 0.18/0.35 set(auto).
% 0.18/0.35 dependent: set(auto1).
% 0.18/0.35 dependent: set(process_input).
% 0.18/0.35 dependent: clear(print_kept).
% 0.18/0.35 dependent: clear(print_new_demod).
% 0.18/0.35 dependent: clear(print_back_demod).
% 0.18/0.35 dependent: clear(print_back_sub).
% 0.18/0.35 dependent: set(control_memory).
% 0.18/0.35 dependent: assign(max_mem, 12000).
% 0.18/0.35 dependent: assign(pick_given_ratio, 4).
% 0.18/0.35 dependent: assign(stats_level, 1).
% 0.18/0.35 dependent: assign(pick_semantic_ratio, 3).
% 0.18/0.35 dependent: assign(sos_limit, 5000).
% 0.18/0.35 dependent: assign(max_weight, 60).
% 0.18/0.35 clear(print_given).
% 0.18/0.35
% 0.18/0.35 list(usable).
% 0.18/0.35
% 0.18/0.35 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=6.
% 0.18/0.35
% 0.18/0.35 This ia a non-Horn set with equality. The strategy will be
% 0.18/0.35 Knuth-Bendix, ordered hyper_res, ur_res, factoring, and
% 0.18/0.35 unit deletion, with positive clauses in sos and nonpositive
% 0.18/0.35 clauses in usable.
% 0.18/0.35
% 0.18/0.35 dependent: set(knuth_bendix).
% 0.18/0.35 dependent: set(para_from).
% 0.18/0.35 dependent: set(para_into).
% 0.18/0.35 dependent: clear(para_from_right).
% 0.18/0.35 dependent: clear(para_into_right).
% 0.18/0.35 dependent: set(para_from_vars).
% 0.18/0.35 dependent: set(eq_units_both_ways).
% 0.18/0.35 dependent: set(dynamic_demod_all).
% 0.18/0.35 dependent: set(dynamic_demod).
% 0.18/0.35 dependent: set(order_eq).
% 0.18/0.35 dependent: set(back_demod).
% 0.18/0.35 dependent: set(lrpo).
% 0.18/0.35 dependent: set(hyper_res).
% 0.18/0.35 dependent: set(unit_deletion).
% 0.18/0.35 dependent: set(factor).
% 0.18/0.35
% 0.18/0.35 ------------> process usable:
% 0.18/0.35 Following clause subsumed by 6 during input processing: 0 [] {-} -equalish(e_2,e_1).
% 0.18/0.35 Following clause subsumed by 8 during input processing: 0 [] {-} -equalish(e_3,e_1).
% 0.18/0.35 Following clause subsumed by 12 during input processing: 0 [] {-} -equalish(e_3,e_2).
% 0.18/0.35 Following clause subsumed by 10 during input processing: 0 [] {-} -equalish(e_4,e_1).
% 0.18/0.35 Following clause subsumed by 14 during input processing: 0 [] {-} -equalish(e_4,e_2).
% 0.18/0.35 Following clause subsumed by 16 during input processing: 0 [] {-} -equalish(e_4,e_3).
% 0.18/0.35
% 0.18/0.35 ------------> process sos:
% 0.18/0.35
% 0.18/0.35 ======= end of input processing =======
% 0.18/0.45
% 0.18/0.45 Model 1 (0.00 seconds, 0 Inserts)
% 0.18/0.45
% 0.18/0.45 Stopped by limit on number of solutions
% 0.18/0.45
% 0.18/0.45
% 0.18/0.45 -------------- Softie stats --------------
% 0.18/0.45
% 0.18/0.45 UPDATE_STOP: 300
% 0.18/0.45 SFINDER_TIME_LIMIT: 2
% 0.18/0.45 SHORT_CLAUSE_CUTOFF: 4
% 0.18/0.45 number of clauses in intial UL: 22
% 0.18/0.45 number of clauses initially in problem: 27
% 0.18/0.45 percentage of clauses intially in UL: 81
% 0.18/0.45 percentage of distinct symbols occuring in initial UL: 100
% 0.18/0.45 percent of all initial clauses that are short: 100
% 0.18/0.45 absolute distinct symbol count: 7
% 0.18/0.45 distinct predicate count: 3
% 0.18/0.45 distinct function count: 0
% 0.18/0.45 distinct constant count: 4
% 0.18/0.45
% 0.18/0.45 ---------- no more Softie stats ----------
% 0.18/0.45
% 0.18/0.45
% 0.18/0.45
% 0.18/0.45 Model 2 (0.00 seconds, 0 Inserts)
% 0.18/0.45
% 0.18/0.45 Stopped by limit on number of solutions
% 0.18/0.45
% 0.18/0.45 =========== start of search ===========
% 2.04/2.27
% 2.04/2.27 -------- PROOF --------
% 2.04/2.27 % SZS status Unsatisfiable
% 2.04/2.27 % SZS output start Refutation
% 2.04/2.27
% 2.04/2.27 Model 3 [ 1 1 5044 ] (0.00 seconds, 18000 Inserts)
% 2.04/2.27
% 2.04/2.27 Model 4 [ 2 2 8773 ] (0.00 seconds, 33944 Inserts)
% 2.04/2.27
% 2.04/2.27 Model 5 [ 3 0 413 ] (0.00 seconds, 36304 Inserts)
% 2.04/2.27
% 2.04/2.27 Model 6 [ 13 0 654 ] (0.00 seconds, 3243 Inserts)
% 2.04/2.27
% 2.04/2.27 ----> UNIT CONFLICT at 1.88 sec ----> 2197 [binary,2195.1,6.1] {-} $F.
% 2.04/2.27
% 2.04/2.27 Length of proof is 41. Level of proof is 15.
% 2.04/2.27
% 2.04/2.27 ---------------- PROOF ----------------
% 2.04/2.27 % SZS status Unsatisfiable
% 2.04/2.27 % SZS output start Refutation
% 2.04/2.27
% 2.04/2.27 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).
% 2.04/2.27 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).
% 2.04/2.27 3 [] {+} product(A,B,C)| -product(D,A,B)| -product(C,A,D).
% 2.04/2.27 5 [] {-} -equalish(e_1,e_2).
% 2.04/2.27 6 [copy,5,flip.1] {+} -equalish(e_2,e_1).
% 2.04/2.27 7 [] {-} -equalish(e_1,e_3).
% 2.04/2.27 8 [copy,7,flip.1] {+} -equalish(e_3,e_1).
% 2.04/2.27 9 [] {-} -equalish(e_1,e_4).
% 2.04/2.27 10 [copy,9,flip.1] {+} -equalish(e_4,e_1).
% 2.04/2.27 11 [] {-} -equalish(e_2,e_3).
% 2.04/2.27 12 [copy,11,flip.1] {+} -equalish(e_3,e_2).
% 2.04/2.27 13 [] {-} -equalish(e_2,e_4).
% 2.04/2.27 14 [copy,13,flip.1] {+} -equalish(e_4,e_2).
% 2.04/2.27 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).
% 2.04/2.27 18 [] {+} -product(A,B,C)| -product(A,B,D)|equalish(C,D).
% 2.04/2.27 19 [] {+} -product(A,B,C)| -product(A,D,C)|equalish(B,D).
% 2.04/2.27 20 [] {+} -product(A,B,C)| -product(D,B,C)|equalish(A,D).
% 2.04/2.27 21 [] {+} -product(A,B,C)| -product(C,A,D)|product(D,A,B).
% 2.04/2.27 29 [] {+} group_element(e_1).
% 2.04/2.27 30 [] {+} group_element(e_2).
% 2.04/2.27 33 [] {-} product(A,A,A).
% 2.04/2.27 37 [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).
% 2.04/2.27 38 [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).
% 2.04/2.27 39 [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).
% 2.04/2.27 40 [hyper,30,2,29] {-} product(e_2,e_1,e_1)|product(e_2,e_2,e_1)|product(e_2,e_3,e_1)|product(e_2,e_4,e_1).
% 2.04/2.27 41 [hyper,30,1,29] {-} product(e_1,e_1,e_2)|product(e_2,e_1,e_2)|product(e_3,e_1,e_2)|product(e_4,e_1,e_2).
% 2.04/2.27 96 [hyper,37,19,33,unit_del,6] {-} product(e_1,e_2,e_2)|product(e_1,e_2,e_3)|product(e_1,e_2,e_4).
% 2.04/2.27 109 [hyper,96,20,33,unit_del,6] {-} product(e_1,e_2,e_3)|product(e_1,e_2,e_4).
% 2.04/2.27 158 [hyper,38,20,33,unit_del,6] {-} product(e_2,e_1,e_2)|product(e_2,e_1,e_3)|product(e_2,e_1,e_4).
% 2.04/2.27 164 [hyper,158,19,33,unit_del,6] {-} product(e_2,e_1,e_3)|product(e_2,e_1,e_4).
% 2.04/2.27 166 [hyper,39,18,33,unit_del,6] {-} product(e_1,e_2,e_2)|product(e_1,e_3,e_2)|product(e_1,e_4,e_2).
% 2.04/2.27 194 [hyper,166,20,33,unit_del,6] {-} product(e_1,e_3,e_2)|product(e_1,e_4,e_2).
% 2.04/2.27 202 [hyper,194,21,164] {-} product(e_1,e_4,e_2)|product(e_3,e_1,e_3)|product(e_2,e_1,e_4).
% 2.04/2.27 204 [hyper,194,21,164] {-} product(e_1,e_3,e_2)|product(e_4,e_1,e_4)|product(e_2,e_1,e_3).
% 2.04/2.27 274 [hyper,40,20,33,unit_del,6] {-} product(e_2,e_2,e_1)|product(e_2,e_3,e_1)|product(e_2,e_4,e_1).
% 2.04/2.27 297 [hyper,202,20,164,unit_del,12,factor_simp] {-} product(e_1,e_4,e_2)|product(e_2,e_1,e_4).
% 2.04/2.27 298 [hyper,297,21,164,factor_simp] {-} product(e_2,e_1,e_4)|product(e_3,e_1,e_4).
% 2.04/2.27 299 [hyper,297,21,194,factor_simp] {-} product(e_1,e_4,e_2)|product(e_4,e_1,e_3).
% 2.04/2.27 375 [hyper,41,18,33,unit_del,6] {-} product(e_2,e_1,e_2)|product(e_3,e_1,e_2)|product(e_4,e_1,e_2).
% 2.04/2.27 400 [hyper,204,20,164,unit_del,14,factor_simp] {-} product(e_1,e_3,e_2)|product(e_2,e_1,e_3).
% 2.04/2.27 402 [hyper,400,21,164,factor_simp] {-} product(e_2,e_1,e_3)|product(e_4,e_1,e_3).
% 2.04/2.27 423 [hyper,402,21,299,factor_simp] {-} product(e_4,e_1,e_3)|product(e_3,e_1,e_4).
% 2.04/2.27 539 [hyper,274,18,33,unit_del,6] {-} product(e_2,e_3,e_1)|product(e_2,e_4,e_1).
% 2.04/2.27 564 [hyper,539,21,109] {-} product(e_2,e_4,e_1)|product(e_4,e_2,e_3)|product(e_1,e_2,e_3).
% 2.04/2.27 712 [hyper,375,19,33,unit_del,6] {-} product(e_3,e_1,e_2)|product(e_4,e_1,e_2).
% 2.04/2.27 764 [hyper,712,18,423,unit_del,14] {-} product(e_4,e_1,e_2)|product(e_4,e_1,e_3).
% 2.04/2.27 766 [hyper,712,18,298,unit_del,14] {-} product(e_4,e_1,e_2)|product(e_2,e_1,e_4).
% 2.04/2.27 817 [hyper,764,3,423,factor_simp] {-} product(e_4,e_1,e_3)|product(e_1,e_2,e_3).
% 2.04/2.27 876 [hyper,766,3,712,factor_simp] {-} product(e_4,e_1,e_2)|product(e_1,e_4,e_3).
% 2.04/2.27 1934 [hyper,564,19,817,unit_del,6,factor_simp] {-} product(e_2,e_4,e_1)|product(e_1,e_2,e_3).
% 2.04/2.27 1945 [hyper,1934,21,109,factor_simp] {-} product(e_1,e_2,e_3)|product(e_4,e_2,e_4).
% 2.04/2.27 1955 [hyper,1934,21,539,factor_simp] {-} product(e_2,e_4,e_1)|product(e_3,e_2,e_3).
% 2.04/2.27 2010 [hyper,1945,20,109,unit_del,10,factor_simp] {-} product(e_1,e_2,e_3).
% 2.04/2.27 2083 [hyper,2010,19,876,unit_del,14] {-} product(e_4,e_1,e_2).
% 2.04/2.27 2172 [hyper,1955,20,2010,unit_del,8] {-} product(e_2,e_4,e_1).
% 2.04/2.27 2173 [hyper,2172,21,2083] {+} product(e_1,e_4,e_1).
% 2.04/2.27 2195 [hyper,2173,20,2172] {-} equalish(e_2,e_1).
% 2.04/2.27 2197 [binary,2195.1,6.1] {-} $F.
% 2.04/2.27
% 2.04/2.27 % SZS output end Refutation
% 2.04/2.27 ------------ end of proof -------------
% 2.04/2.27
% 2.04/2.27
% 2.04/2.27 Search stopped by max_proofs option.
% 2.04/2.27
% 2.04/2.27
% 2.04/2.27 Search stopped by max_proofs option.
% 2.04/2.27
% 2.04/2.27 ============ end of search ============
% 2.04/2.27
% 2.04/2.27 ----------- soft-scott stats ----------
% 2.04/2.27
% 2.04/2.27 true clauses given 9 (9.8%)
% 2.04/2.27 false clauses given 83
% 2.04/2.27
% 2.04/2.27 FALSE TRUE
% 2.04/2.27 4 3 1
% 2.04/2.27 8 6 0
% 2.04/2.27 10 0 3
% 2.04/2.27 12 52 33
% 2.04/2.27 14 16 56
% 2.04/2.27 16 34 9
% 2.04/2.27 18 9 18
% 2.04/2.27 20 57 0
% 2.04/2.27 tot: 177 120 (40.4% true)
% 2.04/2.27
% 2.04/2.27
% 2.04/2.27 Model 6 [ 13 0 654 ] (0.00 seconds, 3243 Inserts)
% 2.04/2.27
% 2.04/2.27 That finishes the proof of the theorem.
% 2.04/2.27
% 2.04/2.27 Process 21866 finished Tue Jun 14 11:44:30 2022
%------------------------------------------------------------------------------