TSTP Solution File: GRP123-1.003 by SOS---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SOS---2.0
% Problem  : GRP123-1.003 : TPTP v8.1.0. Released v1.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : sos-script %s

% Computer : n006.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 11:41:27 EDT 2022

% Result   : Unsatisfiable 7.95s 8.18s
% Output   : Refutation 7.95s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : GRP123-1.003 : TPTP v8.1.0. Released v1.2.0.
% 0.12/0.13  % Command  : sos-script %s
% 0.12/0.34  % Computer : n006.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 : Mon Jun 13 04:51:57 EDT 2022
% 0.19/0.34  % CPUTime  : 
% 0.19/0.35  ----- Otter 3.2, August 2001 -----
% 0.19/0.35  The process was started by sandbox2 on n006.cluster.edu,
% 0.19/0.35  Mon Jun 13 04:51:57 2022
% 0.19/0.35  The command was "./sos".  The process ID is 11178.
% 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=5.
% 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 2 during input processing: 0 [] {-} -equalish(e_2,e_1).
% 0.19/0.35    Following clause subsumed by 4 during input processing: 0 [] {-} -equalish(e_3,e_1).
% 0.19/0.35    Following clause subsumed by 6 during input processing: 0 [] {-} -equalish(e_3,e_2).
% 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: 17
% 0.19/0.38  number of clauses initially in problem: 21
% 0.19/0.38  percentage of clauses intially in UL: 80
% 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: 6
% 0.19/0.38     distinct predicate count: 3
% 0.19/0.38     distinct function count: 0
% 0.19/0.38     distinct constant count: 3
% 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 ===========
% 7.95/8.18  
% 7.95/8.18  -------- PROOF -------- 
% 7.95/8.18  % SZS status Unsatisfiable
% 7.95/8.18  % SZS output start Refutation
% 7.95/8.18  
% 7.95/8.18  Model 2 (0.00 seconds, 0 Inserts)
% 7.95/8.18  
% 7.95/8.18  Stopped by limit on number of solutions
% 7.95/8.18  
% 7.95/8.18  Model 3 (0.00 seconds, 0 Inserts)
% 7.95/8.18  
% 7.95/8.18  Stopped by limit on number of solutions
% 7.95/8.18  
% 7.95/8.18  Model 4 (0.00 seconds, 0 Inserts)
% 7.95/8.18  
% 7.95/8.18  Stopped by limit on number of solutions
% 7.95/8.18  
% 7.95/8.18  Model 5 [ 1 1 3619 ] (0.00 seconds, 55081 Inserts)
% 7.95/8.18  
% 7.95/8.18  Model 6 [ 1 2 25981 ] (0.00 seconds, 52990 Inserts)
% 7.95/8.18  
% 7.95/8.18  Model 7 [ 1 6 49878 ] (0.00 seconds, 82866 Inserts)
% 7.95/8.18  
% 7.95/8.18  Model 8 [ 1 1 10108 ] (0.00 seconds, 44922 Inserts)
% 7.95/8.18  
% 7.95/8.18  Stopped by limit on insertions
% 7.95/8.18  
% 7.95/8.18  Model 9 [ 2 1 246 ] (0.00 seconds, 250000 Inserts)
% 7.95/8.18  
% 7.95/8.18  Model 10 [ 2 2 9498 ] (0.00 seconds, 68727 Inserts)
% 7.95/8.18  
% 7.95/8.18  Model 11 [ 2 1 4381 ] (0.00 seconds, 63484 Inserts)
% 7.95/8.18  
% 7.95/8.18  Stopped by limit on insertions
% 7.95/8.18  
% 7.95/8.18  Model 12 [ 3 16 113544 ] (0.00 seconds, 250000 Inserts)
% 7.95/8.18  
% 7.95/8.18  Stopped by limit on insertions
% 7.95/8.18  
% 7.95/8.18  Model 13 [ 2 13 126304 ] (0.00 seconds, 250000 Inserts)
% 7.95/8.18  
% 7.95/8.18  Model 14 [ 3 1 6010 ] (0.00 seconds, 104014 Inserts)
% 7.95/8.18  
% 7.95/8.18  ----> UNIT CONFLICT at   7.78 sec ----> 2189 [binary,2187.1,4.1] {+} $F.
% 7.95/8.18  
% 7.95/8.18  Length of proof is 10.  Level of proof is 5.
% 7.95/8.18  
% 7.95/8.18  ---------------- PROOF ----------------
% 7.95/8.18  % SZS status Unsatisfiable
% 7.95/8.18  % SZS output start Refutation
% 7.95/8.18  
% 7.95/8.18  3 [] {-} -equalish(e_1,e_3).
% 7.95/8.18  4 [copy,3,flip.1] {+} -equalish(e_3,e_1).
% 7.95/8.18  5 [] {-} -equalish(e_2,e_3).
% 7.95/8.18  6 [copy,5,flip.1] {+} -equalish(e_3,e_2).
% 7.95/8.18  7 [] {+} -group_element(A)| -group_element(B)|product(A,B,e_1)|product(A,B,e_2)|product(A,B,e_3).
% 7.95/8.18  10 [] {+} -product(A,B,C)| -product(D,B,C)|equalish(A,D).
% 7.95/8.18  12 [] {+} -product(A,B,C)| -product(D,E,C)| -product(F,B,A)| -product(F,E,D)|equalish(B,E).
% 7.95/8.18  20 [factor,12.2.4] {+} -product(A,B,C)| -product(C,D,C)| -product(C,B,A)|equalish(B,D).
% 7.95/8.18  21 [] {+} group_element(e_1).
% 7.95/8.18  22 [] {+} group_element(e_2).
% 7.95/8.18  23 [] {+} group_element(e_3).
% 7.95/8.18  24 [] {+} product(A,A,A).
% 7.95/8.18  46 [hyper,23,7,22] {+} product(e_2,e_3,e_1)|product(e_2,e_3,e_2)|product(e_2,e_3,e_3).
% 7.95/8.18  47 [hyper,23,7,21] {-} product(e_1,e_3,e_1)|product(e_1,e_3,e_2)|product(e_1,e_3,e_3).
% 7.95/8.18  2091 [hyper,46,20,46,24,unit_del,6,factor_simp,factor_simp] {-} product(e_2,e_3,e_1)|product(e_2,e_3,e_3).
% 7.95/8.18  2093 [hyper,2091,10,24,unit_del,6] {+} product(e_2,e_3,e_1).
% 7.95/8.18  2182 [hyper,47,20,47,24,unit_del,4,factor_simp,factor_simp] {-} product(e_1,e_3,e_2)|product(e_1,e_3,e_3).
% 7.95/8.18  2185 [hyper,2182,20,2093,24,unit_del,4] {+} product(e_1,e_3,e_3).
% 7.95/8.18  2187 [hyper,2185,10,24] {-} equalish(e_3,e_1).
% 7.95/8.18  2189 [binary,2187.1,4.1] {+} $F.
% 7.95/8.18  
% 7.95/8.18  % SZS output end Refutation
% 7.95/8.18  ------------ end of proof -------------
% 7.95/8.18  
% 7.95/8.18  
% 7.95/8.18  Search stopped by max_proofs option.
% 7.95/8.18  
% 7.95/8.18  
% 7.95/8.18  Search stopped by max_proofs option.
% 7.95/8.18  
% 7.95/8.18  ============ end of search ============
% 7.95/8.18  
% 7.95/8.18  ----------- soft-scott stats ----------
% 7.95/8.18  
% 7.95/8.18  true clauses given          44      (69.8%)
% 7.95/8.18  false clauses given         19
% 7.95/8.18  
% 7.95/8.18        FALSE     TRUE
% 7.95/8.18     4  1         0
% 7.95/8.18    10  0         45
% 7.95/8.18    12  9         20
% 7.95/8.18    14  0         237
% 7.95/8.18    16  8         28
% 7.95/8.18    18  0         373
% 7.95/8.18    20  6         12
% 7.95/8.18    22  0         541
% 7.95/8.18    26  0         332
% 7.95/8.18    30  0         236
% 7.95/8.18    34  0         16
% 7.95/8.18  tot:  24        1840      (98.7% true)
% 7.95/8.18  
% 7.95/8.18  
% 7.95/8.18  Model 14 [ 3 1 6010 ] (0.00 seconds, 104014 Inserts)
% 7.95/8.18  
% 7.95/8.18  That finishes the proof of the theorem.
% 7.95/8.18  
% 7.95/8.18  Process 11178 finished Mon Jun 13 04:52:05 2022
%------------------------------------------------------------------------------