TSTP Solution File: GRP124-9.004 by SOS---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SOS---2.0
% Problem : GRP124-9.004 : TPTP v8.1.0. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : sos-script %s
% Computer : n018.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 11:41:34 EDT 2022
% Result : Unsatisfiable 4.49s 4.69s
% Output : Refutation 4.49s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : GRP124-9.004 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.03/0.14 % Command : sos-script %s
% 0.15/0.36 % Computer : n018.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 600
% 0.15/0.36 % DateTime : Mon Jun 13 11:39:12 EDT 2022
% 0.15/0.36 % CPUTime :
% 0.22/0.38 ----- Otter 3.2, August 2001 -----
% 0.22/0.38 The process was started by sandbox on n018.cluster.edu,
% 0.22/0.38 Mon Jun 13 11:39:12 2022
% 0.22/0.38 The command was "./sos". The process ID is 22677.
% 0.22/0.38
% 0.22/0.38 set(prolog_style_variables).
% 0.22/0.38 set(auto).
% 0.22/0.38 dependent: set(auto1).
% 0.22/0.38 dependent: set(process_input).
% 0.22/0.38 dependent: clear(print_kept).
% 0.22/0.38 dependent: clear(print_new_demod).
% 0.22/0.38 dependent: clear(print_back_demod).
% 0.22/0.38 dependent: clear(print_back_sub).
% 0.22/0.38 dependent: set(control_memory).
% 0.22/0.38 dependent: assign(max_mem, 12000).
% 0.22/0.38 dependent: assign(pick_given_ratio, 4).
% 0.22/0.38 dependent: assign(stats_level, 1).
% 0.22/0.38 dependent: assign(pick_semantic_ratio, 3).
% 0.22/0.38 dependent: assign(sos_limit, 5000).
% 0.22/0.38 dependent: assign(max_weight, 60).
% 0.22/0.38 clear(print_given).
% 0.22/0.38
% 0.22/0.38 list(usable).
% 0.22/0.38
% 0.22/0.38 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=6.
% 0.22/0.38
% 0.22/0.38 This ia a non-Horn set with equality. The strategy will be
% 0.22/0.38 Knuth-Bendix, ordered hyper_res, ur_res, factoring, and
% 0.22/0.38 unit deletion, with positive clauses in sos and nonpositive
% 0.22/0.38 clauses in usable.
% 0.22/0.38
% 0.22/0.38 dependent: set(knuth_bendix).
% 0.22/0.38 dependent: set(para_from).
% 0.22/0.38 dependent: set(para_into).
% 0.22/0.38 dependent: clear(para_from_right).
% 0.22/0.38 dependent: clear(para_into_right).
% 0.22/0.38 dependent: set(para_from_vars).
% 0.22/0.38 dependent: set(eq_units_both_ways).
% 0.22/0.38 dependent: set(dynamic_demod_all).
% 0.22/0.38 dependent: set(dynamic_demod).
% 0.22/0.38 dependent: set(order_eq).
% 0.22/0.38 dependent: set(back_demod).
% 0.22/0.38 dependent: set(lrpo).
% 0.22/0.38 dependent: set(hyper_res).
% 0.22/0.38 dependent: set(unit_deletion).
% 0.22/0.38 dependent: set(factor).
% 0.22/0.38
% 0.22/0.38 ------------> process usable:
% 0.22/0.38 Following clause subsumed by 4 during input processing: 0 [] {-} -equalish(e_2,e_1).
% 0.22/0.38 Following clause subsumed by 6 during input processing: 0 [] {-} -equalish(e_3,e_1).
% 0.22/0.38 Following clause subsumed by 10 during input processing: 0 [] {-} -equalish(e_3,e_2).
% 0.22/0.38 Following clause subsumed by 8 during input processing: 0 [] {-} -equalish(e_4,e_1).
% 0.22/0.38 Following clause subsumed by 12 during input processing: 0 [] {-} -equalish(e_4,e_2).
% 0.22/0.38 Following clause subsumed by 14 during input processing: 0 [] {-} -equalish(e_4,e_3).
% 0.22/0.38
% 0.22/0.38 ------------> process sos:
% 0.22/0.38 40 back subsumes 34.
% 0.22/0.38
% 0.22/0.38 ======= end of input processing =======
% 0.22/0.40
% 0.22/0.40 Model 1 (0.00 seconds, 0 Inserts)
% 0.22/0.40
% 0.22/0.40 Stopped by limit on number of solutions
% 0.22/0.40
% 0.22/0.40
% 0.22/0.40 -------------- Softie stats --------------
% 0.22/0.40
% 0.22/0.40 UPDATE_STOP: 300
% 0.22/0.40 SFINDER_TIME_LIMIT: 2
% 0.22/0.40 SHORT_CLAUSE_CUTOFF: 4
% 0.22/0.40 number of clauses in intial UL: 27
% 0.22/0.40 number of clauses initially in problem: 33
% 0.22/0.40 percentage of clauses intially in UL: 81
% 0.22/0.40 percentage of distinct symbols occuring in initial UL: 100
% 0.22/0.40 percent of all initial clauses that are short: 100
% 0.22/0.40 absolute distinct symbol count: 9
% 0.22/0.40 distinct predicate count: 5
% 0.22/0.40 distinct function count: 0
% 0.22/0.40 distinct constant count: 4
% 0.22/0.40
% 0.22/0.40 ---------- no more Softie stats ----------
% 0.22/0.40
% 0.22/0.40
% 0.22/0.40
% 0.22/0.40 =========== start of search ===========
% 2.50/2.68
% 2.50/2.68
% 2.50/2.68 Changing weight limit from 60 to 24.
% 2.50/2.68
% 2.50/2.68 Model 2 (0.00 seconds, 0 Inserts)
% 2.50/2.68
% 2.50/2.68 Stopped by limit on number of solutions
% 2.50/2.68
% 2.50/2.68 Stopped by limit on insertions
% 2.50/2.68
% 2.50/2.68 Stopped by limit on insertions
% 2.50/2.68
% 2.50/2.68 Stopped by limit on insertions
% 2.50/2.68
% 2.50/2.68 Resetting weight limit to 24 after 85 givens.
% 2.50/2.68
% 3.15/3.35
% 3.15/3.35
% 3.15/3.35 Changing weight limit from 24 to 25.
% 3.15/3.35
% 3.15/3.35 Stopped by limit on insertions
% 3.15/3.35
% 3.15/3.35 Stopped by limit on insertions
% 3.15/3.35
% 3.15/3.35 Stopped by limit on insertions
% 3.15/3.35
% 3.15/3.35 Resetting weight limit to 25 after 90 givens.
% 3.15/3.35
% 3.86/4.05
% 3.86/4.05
% 3.86/4.05 Changing weight limit from 25 to 26.
% 3.86/4.05
% 3.86/4.05 Stopped by limit on insertions
% 3.86/4.05
% 3.86/4.05 Stopped by limit on insertions
% 3.86/4.05
% 3.86/4.05 Stopped by limit on insertions
% 3.86/4.05
% 3.86/4.05 Resetting weight limit to 26 after 95 givens.
% 3.86/4.05
% 4.49/4.69
% 4.49/4.69 -------- PROOF --------
% 4.49/4.69 % SZS status Unsatisfiable
% 4.49/4.69 % SZS output start Refutation
% 4.49/4.69
% 4.49/4.69 Stopped by limit on insertions
% 4.49/4.69
% 4.49/4.69 Stopped by limit on insertions
% 4.49/4.69
% 4.49/4.69 Model 3 [ 15 0 3005 ] (0.00 seconds, 250000 Inserts)
% 4.49/4.69
% 4.49/4.69 ----> UNIT CONFLICT at 4.28 sec ----> 3795 [binary,3793.1,10.1] {-} $F.
% 4.49/4.69
% 4.49/4.69 Length of proof is 40. Level of proof is 14.
% 4.49/4.69
% 4.49/4.69 ---------------- PROOF ----------------
% 4.49/4.69 % SZS status Unsatisfiable
% 4.49/4.69 % SZS output start Refutation
% 4.49/4.69
% 4.49/4.69 3 [] {-} -equalish(e_1,e_2).
% 4.49/4.69 4 [copy,3,flip.1] {+} -equalish(e_2,e_1).
% 4.49/4.69 5 [] {-} -equalish(e_1,e_3).
% 4.49/4.69 6 [copy,5,flip.1] {+} -equalish(e_3,e_1).
% 4.49/4.69 7 [] {-} -equalish(e_1,e_4).
% 4.49/4.69 8 [copy,7,flip.1] {+} -equalish(e_4,e_1).
% 4.49/4.69 9 [] {-} -equalish(e_2,e_3).
% 4.49/4.69 10 [copy,9,flip.1] {+} -equalish(e_3,e_2).
% 4.49/4.69 11 [] {-} -equalish(e_2,e_4).
% 4.49/4.69 12 [copy,11,flip.1] {+} -equalish(e_4,e_2).
% 4.49/4.69 15 [] {+} -group_element(A)| -group_element(B)|product1(A,B,e_1)|product1(A,B,e_2)|product1(A,B,e_3)|product1(A,B,e_4).
% 4.49/4.69 17 [] {+} -product1(A,B,C)| -product1(A,D,C)|equalish(B,D).
% 4.49/4.69 18 [] {+} -product1(A,B,C)| -product1(D,B,C)|equalish(A,D).
% 4.49/4.69 19 [] {+} -group_element(A)| -group_element(B)|product2(A,B,e_1)|product2(A,B,e_2)|product2(A,B,e_3)|product2(A,B,e_4).
% 4.49/4.69 20 [] {+} -product2(A,B,C)| -product2(A,B,D)|equalish(C,D).
% 4.49/4.69 21 [] {+} -product2(A,B,C)| -product2(A,D,C)|equalish(B,D).
% 4.49/4.69 22 [] {+} -product2(A,B,C)| -product2(D,B,C)|equalish(A,D).
% 4.49/4.69 23 [] {+} -product1(A,B,C)| -product1(C,A,D)|product2(D,B,A).
% 4.49/4.69 35 [] {+} group_element(e_1).
% 4.49/4.69 36 [] {+} group_element(e_2).
% 4.49/4.69 37 [] {-} group_element(e_3).
% 4.49/4.69 39 [] {-} product1(A,A,A).
% 4.49/4.69 40 [] {-} product2(A,A,A).
% 4.49/4.69 53 [hyper,36,15,35] {-} product1(e_1,e_2,e_1)|product1(e_1,e_2,e_2)|product1(e_1,e_2,e_3)|product1(e_1,e_2,e_4).
% 4.49/4.69 54 [hyper,36,15,35] {-} product1(e_2,e_1,e_1)|product1(e_2,e_1,e_2)|product1(e_2,e_1,e_3)|product1(e_2,e_1,e_4).
% 4.49/4.69 67 [hyper,37,19,36] {-} product2(e_2,e_3,e_1)|product2(e_2,e_3,e_2)|product2(e_2,e_3,e_3)|product2(e_2,e_3,e_4).
% 4.49/4.69 68 [hyper,37,19,35] {-} product2(e_1,e_3,e_1)|product2(e_1,e_3,e_2)|product2(e_1,e_3,e_3)|product2(e_1,e_3,e_4).
% 4.49/4.69 71 [hyper,37,15,36] {-} product1(e_2,e_3,e_1)|product1(e_2,e_3,e_2)|product1(e_2,e_3,e_3)|product1(e_2,e_3,e_4).
% 4.49/4.69 72 [hyper,37,15,35] {-} product1(e_1,e_3,e_1)|product1(e_1,e_3,e_2)|product1(e_1,e_3,e_3)|product1(e_1,e_3,e_4).
% 4.49/4.69 597 [hyper,53,17,39,unit_del,4] {-} product1(e_1,e_2,e_2)|product1(e_1,e_2,e_3)|product1(e_1,e_2,e_4).
% 4.49/4.69 599 [hyper,597,18,39,unit_del,4] {-} product1(e_1,e_2,e_3)|product1(e_1,e_2,e_4).
% 4.49/4.69 808 [hyper,54,18,39,unit_del,4] {-} product1(e_2,e_1,e_2)|product1(e_2,e_1,e_3)|product1(e_2,e_1,e_4).
% 4.49/4.69 812 [hyper,808,17,39,unit_del,4] {-} product1(e_2,e_1,e_3)|product1(e_2,e_1,e_4).
% 4.49/4.69 1307 [hyper,67,21,40,unit_del,10] {-} product2(e_2,e_3,e_1)|product2(e_2,e_3,e_3)|product2(e_2,e_3,e_4).
% 4.49/4.69 1310 [hyper,1307,22,40,unit_del,10] {-} product2(e_2,e_3,e_1)|product2(e_2,e_3,e_4).
% 4.49/4.69 1543 [hyper,68,21,40,unit_del,6] {-} product2(e_1,e_3,e_2)|product2(e_1,e_3,e_3)|product2(e_1,e_3,e_4).
% 4.49/4.69 1547 [hyper,1543,22,40,unit_del,6] {-} product2(e_1,e_3,e_2)|product2(e_1,e_3,e_4).
% 4.49/4.69 1694 [hyper,1547,22,1310,unit_del,4] {-} product2(e_1,e_3,e_2)|product2(e_2,e_3,e_1).
% 4.49/4.69 2376 [hyper,71,17,39,unit_del,10] {-} product1(e_2,e_3,e_1)|product1(e_2,e_3,e_3)|product1(e_2,e_3,e_4).
% 4.49/4.69 2381 [hyper,2376,18,39,unit_del,10] {-} product1(e_2,e_3,e_1)|product1(e_2,e_3,e_4).
% 4.49/4.69 2398 [hyper,2381,23,599] {-} product1(e_2,e_3,e_4)|product2(e_3,e_3,e_2)|product1(e_1,e_2,e_4).
% 4.49/4.69 2399 [hyper,2381,17,812,unit_del,6] {-} product1(e_2,e_3,e_1)|product1(e_2,e_1,e_3).
% 4.49/4.69 2560 [hyper,72,17,39,unit_del,6] {-} product1(e_1,e_3,e_2)|product1(e_1,e_3,e_3)|product1(e_1,e_3,e_4).
% 4.49/4.69 2573 [hyper,2398,20,40,unit_del,10] {-} product1(e_2,e_3,e_4)|product1(e_1,e_2,e_4).
% 4.49/4.69 2574 [hyper,2573,17,812,unit_del,6] {-} product1(e_1,e_2,e_4)|product1(e_2,e_1,e_3).
% 4.49/4.69 2985 [hyper,2560,18,39,unit_del,6] {-} product1(e_1,e_3,e_2)|product1(e_1,e_3,e_4).
% 4.49/4.69 3139 [hyper,2985,18,2573,unit_del,4] {-} product1(e_1,e_3,e_2)|product1(e_1,e_2,e_4).
% 4.49/4.69 3192 [hyper,3139,23,2574,factor_simp] {-} product1(e_1,e_2,e_4)|product2(e_3,e_3,e_1).
% 4.49/4.69 3193 [hyper,3139,17,2985,unit_del,10,factor_simp] {-} product1(e_1,e_3,e_2).
% 4.49/4.69 3194 [hyper,3193,23,2399] {-} product2(e_3,e_3,e_1)|product1(e_2,e_3,e_1).
% 4.49/4.69 3195 [hyper,3193,23,812] {-} product2(e_4,e_3,e_1)|product1(e_2,e_1,e_3).
% 4.49/4.69 3221 [hyper,3192,20,40,unit_del,6] {-} product1(e_1,e_2,e_4).
% 4.49/4.69 3390 [hyper,3194,20,40,unit_del,6] {-} product1(e_2,e_3,e_1).
% 4.49/4.69 3391 [hyper,3390,23,3221] {-} product2(e_4,e_3,e_2).
% 4.49/4.69 3411 [hyper,3391,22,1694,unit_del,8] {-} product2(e_2,e_3,e_1).
% 4.49/4.69 3629 [hyper,3195,22,3411,unit_del,12] {-} product1(e_2,e_1,e_3).
% 4.49/4.69 3774 [hyper,3629,23,3193] {+} product2(e_3,e_3,e_1).
% 4.49/4.69 3793 [hyper,3774,22,3411,flip.1] {-} equalish(e_3,e_2).
% 4.49/4.69 3795 [binary,3793.1,10.1] {-} $F.
% 4.49/4.69
% 4.49/4.69 % SZS output end Refutation
% 4.49/4.69 ------------ end of proof -------------
% 4.49/4.69
% 4.49/4.69
% 4.49/4.69 Search stopped by max_proofs option.
% 4.49/4.69
% 4.49/4.69
% 4.49/4.69 Search stopped by max_proofs option.
% 4.49/4.69
% 4.49/4.69 ============ end of search ============
% 4.49/4.69
% 4.49/4.69 ----------- soft-scott stats ----------
% 4.49/4.69
% 4.49/4.69 true clauses given 22 (22.4%)
% 4.49/4.69 false clauses given 76
% 4.49/4.69
% 4.49/4.69 FALSE TRUE
% 4.49/4.69 10 0 11
% 4.49/4.69 12 81 103
% 4.49/4.69 14 48 56
% 4.49/4.69 16 113 98
% 4.49/4.69 18 36 42
% 4.49/4.69 20 3 1008
% 4.49/4.69 24 35 945
% 4.49/4.69 tot: 316 2263 (87.7% true)
% 4.49/4.69
% 4.49/4.69
% 4.49/4.69 Model 3 [ 15 0 3005 ] (0.00 seconds, 250000 Inserts)
% 4.49/4.69
% 4.49/4.69 That finishes the proof of the theorem.
% 4.49/4.69
% 4.49/4.69 Process 22677 finished Mon Jun 13 11:39:17 2022
%------------------------------------------------------------------------------