%------------------------------------------------------------------------------
% File : SOS---2.0
% Problem : GRP135-2.002 : TPTP v8.1.0. Released v1.2.0.
% 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 11:41:53 EDT 2022
% Result : Unsatisfiable 1.05s 1.25s
% Output : Refutation 1.05s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GRP135-2.002 : TPTP v8.1.0. Released v1.2.0.
% 0.12/0.13 % Command : sos-script %s
% 0.12/0.34 % Computer : n015.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Tue Jun 14 12:37:24 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.35 ----- Otter 3.2, August 2001 -----
% 0.19/0.35 The process was started by sandbox2 on n015.cluster.edu,
% 0.19/0.35 Tue Jun 14 12:37:24 2022
% 0.19/0.35 The command was "./sos". The process ID is 17836.
% 0.19/0.35
% 0.19/0.35 set(prolog_style_variables).
% 0.19/0.35 set(auto).
% 0.19/0.35 dependent: set(auto1).
% 0.19/0.35 dependent: set(process_input).
% 0.19/0.35 dependent: clear(print_kept).
% 0.19/0.35 dependent: clear(print_new_demod).
% 0.19/0.35 dependent: clear(print_back_demod).
% 0.19/0.35 dependent: clear(print_back_sub).
% 0.19/0.35 dependent: set(control_memory).
% 0.19/0.35 dependent: assign(max_mem, 12000).
% 0.19/0.35 dependent: assign(pick_given_ratio, 4).
% 0.19/0.35 dependent: assign(stats_level, 1).
% 0.19/0.35 dependent: assign(pick_semantic_ratio, 3).
% 0.19/0.35 dependent: assign(sos_limit, 5000).
% 0.19/0.35 dependent: assign(max_weight, 60).
% 0.19/0.35 clear(print_given).
% 0.19/0.35
% 0.19/0.35 list(usable).
% 0.19/0.35
% 0.19/0.35 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=4.
% 0.19/0.35
% 0.19/0.35 This ia a non-Horn set with equality. The strategy will be
% 0.19/0.35 Knuth-Bendix, ordered hyper_res, ur_res, factoring, and
% 0.19/0.35 unit deletion, with positive clauses in sos and nonpositive
% 0.19/0.35 clauses in usable.
% 0.19/0.35
% 0.19/0.35 dependent: set(knuth_bendix).
% 0.19/0.35 dependent: set(para_from).
% 0.19/0.35 dependent: set(para_into).
% 0.19/0.35 dependent: clear(para_from_right).
% 0.19/0.35 dependent: clear(para_into_right).
% 0.19/0.35 dependent: set(para_from_vars).
% 0.19/0.35 dependent: set(eq_units_both_ways).
% 0.19/0.35 dependent: set(dynamic_demod_all).
% 0.19/0.35 dependent: set(dynamic_demod).
% 0.19/0.35 dependent: set(order_eq).
% 0.19/0.35 dependent: set(back_demod).
% 0.19/0.35 dependent: set(lrpo).
% 0.19/0.35 dependent: set(hyper_res).
% 0.19/0.35 dependent: set(unit_deletion).
% 0.19/0.35 dependent: set(factor).
% 0.19/0.35
% 0.19/0.35 ------------> process usable:
% 0.19/0.35 Following clause subsumed by 3 during input processing: 0 [] {-} -equalish(e_2,e_1).
% 0.19/0.35
% 0.19/0.35 ------------> process sos:
% 0.19/0.35
% 0.19/0.35 ======= end of input processing =======
% 0.19/0.38
% 0.19/0.38 Model 1 (0.00 seconds, 0 Inserts)
% 0.19/0.38
% 0.19/0.38 Stopped by limit on number of solutions
% 0.19/0.38
% 0.19/0.38
% 0.19/0.38 -------------- Softie stats --------------
% 0.19/0.38
% 0.19/0.38 UPDATE_STOP: 300
% 0.19/0.38 SFINDER_TIME_LIMIT: 2
% 0.19/0.38 SHORT_CLAUSE_CUTOFF: 4
% 0.19/0.38 number of clauses in intial UL: 11
% 0.19/0.38 number of clauses initially in problem: 15
% 0.19/0.38 percentage of clauses intially in UL: 73
% 0.19/0.38 percentage of distinct symbols occuring in initial UL: 100
% 0.19/0.38 percent of all initial clauses that are short: 100
% 0.19/0.38 absolute distinct symbol count: 7
% 0.19/0.38 distinct predicate count: 5
% 0.19/0.38 distinct function count: 0
% 0.19/0.38 distinct constant count: 2
% 0.19/0.38
% 0.19/0.38 ---------- no more Softie stats ----------
% 0.19/0.38
% 0.19/0.38
% 0.19/0.38
% 0.19/0.38 =========== start of search ===========
% 1.05/1.25
% 1.05/1.25 -------- PROOF --------
% 1.05/1.25 % SZS status Unsatisfiable
% 1.05/1.25 % SZS output start Refutation
% 1.05/1.25
% 1.05/1.25 Model 2 (0.00 seconds, 0 Inserts)
% 1.05/1.25
% 1.05/1.25 Stopped by limit on number of solutions
% 1.05/1.25
% 1.05/1.25 Stopped by limit on insertions
% 1.05/1.25
% 1.05/1.25 Model 3 [ 1 0 275 ] (0.00 seconds, 250000 Inserts)
% 1.05/1.25
% 1.05/1.25 Stopped by limit on insertions
% 1.05/1.25
% 1.05/1.25 Model 4 [ 1 1 89 ] (0.00 seconds, 250000 Inserts)
% 1.05/1.25
% 1.05/1.25 Stopped by limit on insertions
% 1.05/1.25
% 1.05/1.25 Model 5 [ 1 0 213 ] (0.00 seconds, 250000 Inserts)
% 1.05/1.25
% 1.05/1.25 Stopped by limit on insertions
% 1.05/1.25
% 1.05/1.25 Model 6 [ 2 1 180 ] (0.00 seconds, 250000 Inserts)
% 1.05/1.25
% 1.05/1.25 Stopped by limit on insertions
% 1.05/1.25
% 1.05/1.25 Model 7 [ 2 0 262 ] (0.00 seconds, 250000 Inserts)
% 1.05/1.25
% 1.05/1.25 Stopped by limit on insertions
% 1.05/1.25
% 1.05/1.25 Model 8 [ 2 0 140 ] (0.00 seconds, 250000 Inserts)
% 1.05/1.25
% 1.05/1.25 Stopped by limit on insertions
% 1.05/1.25
% 1.05/1.25 Model 9 [ 3 3 204911 ] (0.00 seconds, 250000 Inserts)
% 1.05/1.25
% 1.05/1.25 Stopped by limit on insertions
% 1.05/1.25
% 1.05/1.25 Model 10 [ 2 0 274 ] (0.00 seconds, 250000 Inserts)
% 1.05/1.25
% 1.05/1.25 Stopped by limit on insertions
% 1.05/1.25
% 1.05/1.25 Model 11 [ 4 1 870 ] (0.00 seconds, 250000 Inserts)
% 1.05/1.25
% 1.05/1.25 Stopped by limit on insertions
% 1.05/1.25
% 1.05/1.25 Model 12 [ 5 0 375 ] (0.00 seconds, 250000 Inserts)
% 1.05/1.25
% 1.05/1.25 ----> UNIT CONFLICT at 0.88 sec ----> 258 [binary,256.1,3.1] {-} $F.
% 1.05/1.25
% 1.05/1.25 Length of proof is 10. Level of proof is 7.
% 1.05/1.25
% 1.05/1.25 ---------------- PROOF ----------------
% 1.05/1.25 % SZS status Unsatisfiable
% 1.05/1.25 % SZS output start Refutation
% 1.05/1.25
% 1.05/1.25 2 [] {-} -equalish(e_1,e_2).
% 1.05/1.25 3 [copy,2,flip.1] {+} -equalish(e_2,e_1).
% 1.05/1.25 4 [] {+} -group_element(A)| -group_element(B)|product(A,B,e_1)|product(A,B,e_2).
% 1.05/1.25 7 [] {+} -product(A,B,C)| -product(D,B,C)|equalish(A,D).
% 1.05/1.25 8 [] {+} -product(A,B,C)| -product(C,A,D)|product(D,A,B).
% 1.05/1.25 9 [factor,4.1.2] {+} -group_element(A)|product(A,A,e_1)|product(A,A,e_2).
% 1.05/1.25 15 [] {+} group_element(e_1).
% 1.05/1.25 16 [] {+} group_element(e_2).
% 1.05/1.25 23 [hyper,15,9] {+} product(e_1,e_1,e_1)|product(e_1,e_1,e_2).
% 1.05/1.25 27 [hyper,16,9] {+} product(e_2,e_2,e_1)|product(e_2,e_2,e_2).
% 1.05/1.25 28 [hyper,16,4,15] {+} product(e_1,e_2,e_1)|product(e_1,e_2,e_2).
% 1.05/1.25 96 [hyper,27,8,28,factor_simp] {+} product(e_2,e_2,e_2)|product(e_1,e_2,e_1).
% 1.05/1.25 225 [hyper,96,7,28,unit_del,3,factor_simp] {+} product(e_1,e_2,e_1).
% 1.05/1.25 233 [hyper,225,8,23,factor_simp] {+} product(e_1,e_1,e_2).
% 1.05/1.25 244 [hyper,233,8,225] {+} product(e_2,e_1,e_2).
% 1.05/1.25 256 [hyper,244,7,233,flip.1] {-} equalish(e_2,e_1).
% 1.05/1.25 258 [binary,256.1,3.1] {-} $F.
% 1.05/1.25
% 1.05/1.25 % SZS output end Refutation
% 1.05/1.25 ------------ end of proof -------------
% 1.05/1.25
% 1.05/1.25
% 1.05/1.25 Search stopped by max_proofs option.
% 1.05/1.25
% 1.05/1.25
% 1.05/1.25 Search stopped by max_proofs option.
% 1.05/1.25
% 1.05/1.25 ============ end of search ============
% 1.05/1.25
% 1.05/1.25 ----------- soft-scott stats ----------
% 1.05/1.25
% 1.05/1.25 true clauses given 2 (13.3%)
% 1.05/1.25 false clauses given 13
% 1.05/1.25
% 1.05/1.25 FALSE TRUE
% 1.05/1.25 3 0 2
% 1.05/1.25 4 2 0
% 1.05/1.25 10 4 2
% 1.05/1.25 11 2 10
% 1.05/1.25 12 18 0
% 1.05/1.25 15 9 29
% 1.05/1.25 16 9 0
% 1.05/1.25 19 7 5
% 1.05/1.25 tot: 51 48 (48.5% true)
% 1.05/1.25
% 1.05/1.25
% 1.05/1.25 Model 12 [ 5 0 375 ] (0.00 seconds, 250000 Inserts)
% 1.05/1.25
% 1.05/1.25 That finishes the proof of the theorem.
% 1.05/1.25
% 1.05/1.25 Process 17836 finished Tue Jun 14 12:37:25 2022
%------------------------------------------------------------------------------