TSTP Solution File: GRP123-9.003 by SOS---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SOS---2.0
% Problem : GRP123-9.003 : TPTP v8.1.0. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : sos-script %s
% Computer : n025.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 11:41:30 EDT 2022
% Result : Unsatisfiable 7.48s 7.76s
% Output : Refutation 7.48s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.13 % Problem : GRP123-9.003 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.09/0.14 % Command : sos-script %s
% 0.13/0.35 % Computer : n025.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Mon Jun 13 06:03:08 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.13/0.37 ----- Otter 3.2, August 2001 -----
% 0.13/0.37 The process was started by sandbox2 on n025.cluster.edu,
% 0.13/0.37 Mon Jun 13 06:03:08 2022
% 0.13/0.37 The command was "./sos". The process ID is 19881.
% 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 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 4 during input processing: 0 [] {-} -equalish(e_2,e_1).
% 0.13/0.37 Following clause subsumed by 6 during input processing: 0 [] {-} -equalish(e_3,e_1).
% 0.13/0.37 Following clause subsumed by 8 during input processing: 0 [] {-} -equalish(e_3,e_2).
% 0.13/0.37
% 0.13/0.37 ------------> process sos:
% 0.13/0.37
% 0.13/0.37 ======= end of input processing =======
% 0.20/0.40
% 0.20/0.40 Model 1 (0.00 seconds, 0 Inserts)
% 0.20/0.40
% 0.20/0.40 Stopped by limit on number of solutions
% 0.20/0.40
% 0.20/0.40
% 0.20/0.40 -------------- Softie stats --------------
% 0.20/0.40
% 0.20/0.40 UPDATE_STOP: 300
% 0.20/0.40 SFINDER_TIME_LIMIT: 2
% 0.20/0.40 SHORT_CLAUSE_CUTOFF: 4
% 0.20/0.40 number of clauses in intial UL: 25
% 0.20/0.40 number of clauses initially in problem: 30
% 0.20/0.40 percentage of clauses intially in UL: 83
% 0.20/0.40 percentage of distinct symbols occuring in initial UL: 100
% 0.20/0.40 percent of all initial clauses that are short: 100
% 0.20/0.40 absolute distinct symbol count: 8
% 0.20/0.40 distinct predicate count: 5
% 0.20/0.40 distinct function count: 0
% 0.20/0.40 distinct constant count: 3
% 0.20/0.40
% 0.20/0.40 ---------- no more Softie stats ----------
% 0.20/0.40
% 0.20/0.40
% 0.20/0.40
% 0.20/0.40 =========== start of search ===========
% 7.48/7.76
% 7.48/7.76 -------- PROOF --------
% 7.48/7.76 % SZS status Unsatisfiable
% 7.48/7.76 % SZS output start Refutation
% 7.48/7.76
% 7.48/7.76 Model 2 (0.00 seconds, 0 Inserts)
% 7.48/7.76
% 7.48/7.76 Stopped by limit on number of solutions
% 7.48/7.76
% 7.48/7.76 Model 3 (0.00 seconds, 0 Inserts)
% 7.48/7.76
% 7.48/7.76 Stopped by limit on number of solutions
% 7.48/7.76
% 7.48/7.76 Stopped by limit on insertions
% 7.48/7.76
% 7.48/7.76 Model 4 [ 1 0 526 ] (0.00 seconds, 250000 Inserts)
% 7.48/7.76
% 7.48/7.76 Stopped by limit on insertions
% 7.48/7.76
% 7.48/7.76 Stopped by limit on insertions
% 7.48/7.76
% 7.48/7.76 Model 5 [ 2 1 101 ] (0.00 seconds, 250000 Inserts)
% 7.48/7.76
% 7.48/7.76 Stopped by limit on insertions
% 7.48/7.76
% 7.48/7.76 Stopped by limit on insertions
% 7.48/7.76
% 7.48/7.76 Stopped by limit on insertions
% 7.48/7.76
% 7.48/7.76 Model 6 [ 2 1 281 ] (0.00 seconds, 250000 Inserts)
% 7.48/7.76
% 7.48/7.76 Stopped by limit on insertions
% 7.48/7.76
% 7.48/7.76 Stopped by limit on insertions
% 7.48/7.76
% 7.48/7.76 Model 7 [ 1 1 6976 ] (0.00 seconds, 250000 Inserts)
% 7.48/7.76
% 7.48/7.76 Stopped by limit on insertions
% 7.48/7.76
% 7.48/7.76 Stopped by limit on insertions
% 7.48/7.76
% 7.48/7.76 Stopped by limit on insertions
% 7.48/7.76
% 7.48/7.76 Stopped by limit on insertions
% 7.48/7.76
% 7.48/7.76 Model 8 [ 5 1 3799 ] (0.00 seconds, 250000 Inserts)
% 7.48/7.76
% 7.48/7.76 Stopped by limit on insertions
% 7.48/7.76
% 7.48/7.76 Model 9 [ 7 26 215262 ] (0.00 seconds, 250000 Inserts)
% 7.48/7.76
% 7.48/7.76 Stopped by limit on insertions
% 7.48/7.76
% 7.48/7.76 Stopped by limit on insertions
% 7.48/7.76
% 7.48/7.76 Stopped by limit on insertions
% 7.48/7.76
% 7.48/7.76 Stopped by limit on insertions
% 7.48/7.76
% 7.48/7.76 Model 10 [ 10 3 15040 ] (0.00 seconds, 250000 Inserts)
% 7.48/7.76
% 7.48/7.76 Stopped by limit on insertions
% 7.48/7.76
% 7.48/7.76 Stopped by limit on insertions
% 7.48/7.76
% 7.48/7.76 Model 11 [ 10 13 100363 ] (0.00 seconds, 250000 Inserts)
% 7.48/7.76
% 7.48/7.76 Stopped by limit on insertions
% 7.48/7.76
% 7.48/7.76 Model 12 [ 11 30 210274 ] (0.00 seconds, 250000 Inserts)
% 7.48/7.76
% 7.48/7.76 Stopped by limit on insertions
% 7.48/7.76
% 7.48/7.76 Stopped by limit on insertions
% 7.48/7.76
% 7.48/7.76 Stopped by limit on insertions
% 7.48/7.76
% 7.48/7.76 Stopped by limit on insertions
% 7.48/7.76
% 7.48/7.76 Model 13 [ 20 13 126797 ] (0.00 seconds, 250000 Inserts)
% 7.48/7.76
% 7.48/7.76 Stopped by limit on insertions
% 7.48/7.76
% 7.48/7.76 Model 14 [ 18 1 398 ] (0.00 seconds, 250000 Inserts)
% 7.48/7.76
% 7.48/7.76 ----> UNIT CONFLICT at 7.36 sec ----> 1273 [binary,1271.1,4.1] {-} $F.
% 7.48/7.76
% 7.48/7.76 Length of proof is 14. Level of proof is 7.
% 7.48/7.76
% 7.48/7.76 ---------------- PROOF ----------------
% 7.48/7.76 % SZS status Unsatisfiable
% 7.48/7.76 % SZS output start Refutation
% 7.48/7.76
% 7.48/7.76 3 [] {-} -equalish(e_1,e_2).
% 7.48/7.76 4 [copy,3,flip.1] {+} -equalish(e_2,e_1).
% 7.48/7.76 5 [] {-} -equalish(e_1,e_3).
% 7.48/7.76 6 [copy,5,flip.1] {+} -equalish(e_3,e_1).
% 7.48/7.76 7 [] {-} -equalish(e_2,e_3).
% 7.48/7.76 8 [copy,7,flip.1] {+} -equalish(e_3,e_2).
% 7.48/7.76 9 [] {+} -group_element(A)| -group_element(B)|product1(A,B,e_1)|product1(A,B,e_2)|product1(A,B,e_3).
% 7.48/7.76 11 [] {+} -product1(A,B,C)| -product1(A,D,C)|equalish(B,D).
% 7.48/7.76 12 [] {+} -product1(A,B,C)| -product1(D,B,C)|equalish(A,D).
% 7.48/7.76 13 [] {+} -group_element(A)| -group_element(B)|product2(A,B,e_1)|product2(A,B,e_2)|product2(A,B,e_3).
% 7.48/7.76 15 [] {+} -product2(A,B,C)| -product2(A,D,C)|equalish(B,D).
% 7.48/7.76 16 [] {+} -product2(A,B,C)| -product2(D,B,C)|equalish(A,D).
% 7.48/7.76 17 [] {+} -product1(A,B,C)| -product1(C,B,D)|product2(D,A,B).
% 7.48/7.76 29 [] {+} group_element(e_1).
% 7.48/7.76 30 [] {+} group_element(e_2).
% 7.48/7.76 31 [] {+} group_element(e_3).
% 7.48/7.76 32 [] {+} product1(A,A,A).
% 7.48/7.76 33 [] {+} product2(A,A,A).
% 7.48/7.76 44 [hyper,30,13,29] {-} product2(e_1,e_2,e_1)|product2(e_1,e_2,e_2)|product2(e_1,e_2,e_3).
% 7.48/7.76 64 [hyper,31,9,30] {-} product1(e_2,e_3,e_1)|product1(e_2,e_3,e_2)|product1(e_2,e_3,e_3).
% 7.48/7.76 65 [hyper,31,9,29] {-} product1(e_1,e_3,e_1)|product1(e_1,e_3,e_2)|product1(e_1,e_3,e_3).
% 7.48/7.76 347 [hyper,44,15,33,unit_del,4] {-} product2(e_1,e_2,e_2)|product2(e_1,e_2,e_3).
% 7.48/7.76 363 [hyper,347,16,33,unit_del,4] {-} product2(e_1,e_2,e_3).
% 7.48/7.76 1036 [hyper,64,11,32,unit_del,8] {-} product1(e_2,e_3,e_1)|product1(e_2,e_3,e_3).
% 7.48/7.76 1040 [hyper,1036,12,32,unit_del,8] {-} product1(e_2,e_3,e_1).
% 7.48/7.76 1150 [hyper,65,12,1040,unit_del,4] {-} product1(e_1,e_3,e_2)|product1(e_1,e_3,e_3).
% 7.48/7.76 1160 [hyper,1150,12,32,unit_del,6] {+} product1(e_1,e_3,e_2).
% 7.48/7.76 1161 [hyper,1160,17,1040] {+} product2(e_2,e_2,e_3).
% 7.48/7.76 1271 [hyper,1161,16,363,flip.1] {-} equalish(e_2,e_1).
% 7.48/7.76 1273 [binary,1271.1,4.1] {-} $F.
% 7.48/7.76
% 7.48/7.76 % SZS output end Refutation
% 7.48/7.76 ------------ end of proof -------------
% 7.48/7.76
% 7.48/7.76
% 7.48/7.76 Search stopped by max_proofs option.
% 7.48/7.76
% 7.48/7.76
% 7.48/7.76 Search stopped by max_proofs option.
% 7.48/7.76
% 7.48/7.76 ============ end of search ============
% 7.48/7.76
% 7.48/7.76 ----------- soft-scott stats ----------
% 7.48/7.76
% 7.48/7.76 true clauses given 15 (24.2%)
% 7.48/7.76 false clauses given 47
% 7.48/7.76
% 7.48/7.76 FALSE TRUE
% 7.48/7.76 4 1 0
% 7.48/7.76 10 0 1
% 7.48/7.76 12 34 158
% 7.48/7.76 14 8 128
% 7.48/7.76 16 0 288
% 7.48/7.76 18 5 97
% 7.48/7.76 20 3 429
% 7.48/7.76 tot: 51 1101 (95.6% true)
% 7.48/7.76
% 7.48/7.76
% 7.48/7.76 Model 14 [ 18 1 398 ] (0.00 seconds, 250000 Inserts)
% 7.48/7.76
% 7.48/7.76 That finishes the proof of the theorem.
% 7.48/7.76
% 7.48/7.76 Process 19881 finished Mon Jun 13 06:03:16 2022
%------------------------------------------------------------------------------