TSTP Solution File: GEO026-2 by SOS---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SOS---2.0
% Problem  : GEO026-2 : TPTP v8.1.0. Released v1.0.0.
% 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 06:17:30 EDT 2022

% Result   : Unsatisfiable 2.52s 2.69s
% Output   : Refutation 2.52s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : GEO026-2 : TPTP v8.1.0. Released v1.0.0.
% 0.12/0.13  % Command  : sos-script %s
% 0.13/0.34  % Computer : n021.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 600
% 0.13/0.34  % DateTime : Sat Jun 18 07:35:01 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 0.21/0.37  ----- Otter 3.2, August 2001 -----
% 0.21/0.37  The process was started by sandbox2 on n021.cluster.edu,
% 0.21/0.37  Sat Jun 18 07:35:01 2022
% 0.21/0.37  The command was "./sos".  The process ID is 13406.
% 0.21/0.37  
% 0.21/0.37  set(prolog_style_variables).
% 0.21/0.37  set(auto).
% 0.21/0.37     dependent: set(auto1).
% 0.21/0.37     dependent: set(process_input).
% 0.21/0.37     dependent: clear(print_kept).
% 0.21/0.37     dependent: clear(print_new_demod).
% 0.21/0.37     dependent: clear(print_back_demod).
% 0.21/0.37     dependent: clear(print_back_sub).
% 0.21/0.37     dependent: set(control_memory).
% 0.21/0.37     dependent: assign(max_mem, 12000).
% 0.21/0.37     dependent: assign(pick_given_ratio, 4).
% 0.21/0.37     dependent: assign(stats_level, 1).
% 0.21/0.37     dependent: assign(pick_semantic_ratio, 3).
% 0.21/0.37     dependent: assign(sos_limit, 5000).
% 0.21/0.37     dependent: assign(max_weight, 60).
% 0.21/0.37  clear(print_given).
% 0.21/0.37  
% 0.21/0.37  list(usable).
% 0.21/0.37  
% 0.21/0.37  SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=8.
% 0.21/0.37  
% 0.21/0.37  This ia a non-Horn set with equality.  The strategy will be
% 0.21/0.37  Knuth-Bendix, ordered hyper_res, ur_res, factoring, and
% 0.21/0.37  unit deletion, with positive clauses in sos and nonpositive
% 0.21/0.37  clauses in usable.
% 0.21/0.37  
% 0.21/0.37     dependent: set(knuth_bendix).
% 0.21/0.37     dependent: set(para_from).
% 0.21/0.37     dependent: set(para_into).
% 0.21/0.37     dependent: clear(para_from_right).
% 0.21/0.37     dependent: clear(para_into_right).
% 0.21/0.37     dependent: set(para_from_vars).
% 0.21/0.37     dependent: set(eq_units_both_ways).
% 0.21/0.37     dependent: set(dynamic_demod_all).
% 0.21/0.37     dependent: set(dynamic_demod).
% 0.21/0.37     dependent: set(order_eq).
% 0.21/0.37     dependent: set(back_demod).
% 0.21/0.37     dependent: set(lrpo).
% 0.21/0.37     dependent: set(hyper_res).
% 0.21/0.37     dependent: set(unit_deletion).
% 0.21/0.37     dependent: set(factor).
% 0.21/0.37  
% 0.21/0.37  ------------> process usable:
% 0.21/0.37  
% 0.21/0.37  ------------> process sos:
% 0.21/0.37  38 back subsumes 35.
% 0.21/0.37    Following clause subsumed by 44 during input processing: 0 [copy,44,flip.1] {-} A=A.
% 0.21/0.37  
% 0.21/0.37  ======= end of input processing =======
% 0.60/0.81  
% 0.60/0.81  Model 1 (0.00 seconds, 0 Inserts)
% 0.60/0.81  
% 0.60/0.81  Stopped by limit on number of solutions
% 0.60/0.81  
% 0.60/0.81  
% 0.60/0.81  -------------- Softie stats --------------
% 0.60/0.81  
% 0.60/0.81  UPDATE_STOP: 300
% 0.60/0.81  SFINDER_TIME_LIMIT: 2
% 0.60/0.81  SHORT_CLAUSE_CUTOFF: 4
% 0.60/0.81  number of clauses in intial UL: 34
% 0.60/0.81  number of clauses initially in problem: 41
% 0.60/0.81  percentage of clauses intially in UL: 82
% 0.60/0.81  percentage of distinct symbols occuring in initial UL: 93
% 0.60/0.81  percent of all initial clauses that are short: 100
% 0.60/0.81  absolute distinct symbol count: 15
% 0.60/0.81     distinct predicate count: 3
% 0.60/0.81     distinct function count: 5
% 0.60/0.81     distinct constant count: 7
% 0.60/0.81  
% 0.60/0.81  ---------- no more Softie stats ----------
% 0.60/0.81  
% 0.60/0.81  
% 0.60/0.81  
% 0.60/0.81  Model 2 (0.00 seconds, 0 Inserts)
% 0.60/0.81  
% 0.60/0.81  Stopped by limit on number of solutions
% 0.60/0.81  
% 0.60/0.81  =========== start of search ===========
% 2.52/2.69  
% 2.52/2.69  -------- PROOF -------- 
% 2.52/2.69  % SZS status Unsatisfiable
% 2.52/2.69  % SZS output start Refutation
% 2.52/2.69  
% 2.52/2.69  Model 3 (0.00 seconds, 0 Inserts)
% 2.52/2.69  
% 2.52/2.69  Stopped by limit on number of solutions
% 2.52/2.69  
% 2.52/2.69  Stopped by limit on insertions
% 2.52/2.69  
% 2.52/2.69  Model 4 [ 2 59 199721 ] (0.00 seconds, 250000 Inserts)
% 2.52/2.69  
% 2.52/2.69  Stopped by limit on insertions
% 2.52/2.69  
% 2.52/2.69  Model 5 [ 5 3 6054 ] (0.00 seconds, 250000 Inserts)
% 2.52/2.69  
% 2.52/2.69  Stopped by limit on insertions
% 2.52/2.69  
% 2.52/2.69  Model 6 [ 4 31 126652 ] (0.00 seconds, 250000 Inserts)
% 2.52/2.69  
% 2.52/2.69  Stopped by limit on insertions
% 2.52/2.69  
% 2.52/2.69  Model 7 [ 58 21 69089 ] (0.00 seconds, 250000 Inserts)
% 2.52/2.69  
% 2.52/2.69  ----> UNIT CONFLICT at   2.30 sec ----> 284 [binary,282.1,19.1] {+} $F.
% 2.52/2.69  
% 2.52/2.69  Length of proof is 6.  Level of proof is 4.
% 2.52/2.69  
% 2.52/2.69  ---------------- PROOF ----------------
% 2.52/2.69  % SZS status Unsatisfiable
% 2.52/2.69  % SZS output start Refutation
% 2.52/2.69  
% 2.52/2.69  1 [] {+} -equidistant(A,B,C,D)| -equidistant(A,B,E,F)|equidistant(C,D,E,F).
% 2.52/2.69  2 [] {+} -equidistant(A,B,C,C)|A=B.
% 2.52/2.69  3 [] {+} -equidistant(A,B,C,D)| -equidistant(B,E,D,F)| -equidistant(A,G,C,H)| -equidistant(B,G,D,H)| -between(A,B,E)| -between(C,D,F)|A=B|equidistant(E,G,F,H).
% 2.52/2.69  16 [] {-} u!=v.
% 2.52/2.69  17 [copy,16,flip.1] {+} v!=u.
% 2.52/2.69  18 [] {-} w!=x.
% 2.52/2.69  19 [copy,18,flip.1] {+} x!=w.
% 2.52/2.69  20 [factor,1.1.2] {+} -equidistant(A,B,C,D)|equidistant(C,D,C,D).
% 2.52/2.69  38 [] {+} equidistant(A,B,B,A).
% 2.52/2.69  41 [] {+} between(u,v,w).
% 2.52/2.69  42 [] {+} between(u,v,x).
% 2.52/2.69  43 [] {+} equidistant(v,w,v,x).
% 2.52/2.69  45 [hyper,38,20] {+} equidistant(A,B,A,B).
% 2.52/2.69  280 [hyper,45,3,45,43,45,41,42,unit_del,17] {-} equidistant(w,A,x,A).
% 2.52/2.69  282 [hyper,280,2,flip.1] {-} x=w.
% 2.52/2.69  284 [binary,282.1,19.1] {+} $F.
% 2.52/2.69  
% 2.52/2.69  % SZS output end Refutation
% 2.52/2.69  ------------ end of proof -------------
% 2.52/2.69  
% 2.52/2.69  
% 2.52/2.69  Search stopped by max_proofs option.
% 2.52/2.69  
% 2.52/2.69  
% 2.52/2.69  Search stopped by max_proofs option.
% 2.52/2.69  
% 2.52/2.69  ============ end of search ============
% 2.52/2.69  
% 2.52/2.69  ----------- soft-scott stats ----------
% 2.52/2.69  
% 2.52/2.69  true clauses given           1      (12.5%)
% 2.52/2.69  false clauses given          7
% 2.52/2.69  
% 2.52/2.69        FALSE     TRUE
% 2.52/2.69     4  0         1
% 2.52/2.69     5  0         3
% 2.52/2.69     8  6         0
% 2.52/2.69     9  13        8
% 2.52/2.69    10  0         4
% 2.52/2.69    13  4         7
% 2.52/2.69    14  4         4
% 2.52/2.69    16  5         0
% 2.52/2.69    17  11        4
% 2.52/2.69    18  0         8
% 2.52/2.69    19  0         3
% 2.52/2.69    20  1         0
% 2.52/2.69    21  9         3
% 2.52/2.69    22  10        19
% 2.52/2.69    23  0         10
% 2.52/2.69    24  1         4
% 2.52/2.69    26  12        0
% 2.52/2.69    27  6         8
% 2.52/2.69    28  0         2
% 2.52/2.69    29  2         0
% 2.52/2.69    30  2         1
% 2.52/2.69    31  6         0
% 2.52/2.69    32  0         16
% 2.52/2.69    33  3         11
% 2.52/2.69    34  1         0
% 2.52/2.69    35  0         1
% 2.52/2.69    37  2         6
% 2.52/2.69    38  1         4
% 2.52/2.69    39  1         0
% 2.52/2.69    40  0         1
% 2.52/2.69    42  1         0
% 2.52/2.69    43  1         0
% 2.52/2.69    44  0         1
% 2.52/2.69    49  0         1
% 2.52/2.69  tot:  102       130      (56.0% true)
% 2.52/2.69  
% 2.52/2.69  
% 2.52/2.69  Model 7 [ 58 -10 69089 ] (0.00 seconds, 250000 Inserts)
% 2.52/2.69  
% 2.52/2.69  That finishes the proof of the theorem.
% 2.52/2.69  
% 2.52/2.69  Process 13406 finished Sat Jun 18 07:35:04 2022
%------------------------------------------------------------------------------