TSTP Solution File: GEO037-3 by SOS---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SOS---2.0
% Problem  : GEO037-3 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : sos-script %s

% Computer : n020.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 06:17:36 EDT 2022

% Result   : Unsatisfiable 2.04s 2.24s
% Output   : Refutation 2.04s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : GEO037-3 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.13  % Command  : sos-script %s
% 0.13/0.35  % Computer : n020.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 : Sat Jun 18 04:48:04 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 sandbox on n020.cluster.edu,
% 0.13/0.37  Sat Jun 18 04:48:04 2022
% 0.13/0.37  The command was "./sos".  The process ID is 16798.
% 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).
% 0.13/0.38     dependent: clear(print_back_sub).
% 0.13/0.38     dependent: set(control_memory).
% 0.13/0.38     dependent: assign(max_mem, 12000).
% 0.13/0.38     dependent: assign(pick_given_ratio, 4).
% 0.13/0.38     dependent: assign(stats_level, 1).
% 0.13/0.38     dependent: assign(pick_semantic_ratio, 3).
% 0.13/0.38     dependent: assign(sos_limit, 5000).
% 0.13/0.38     dependent: assign(max_weight, 60).
% 0.13/0.38  clear(print_given).
% 0.13/0.38  
% 0.13/0.38  list(usable).
% 0.13/0.38  
% 0.13/0.38  SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=8.
% 0.13/0.38  
% 0.13/0.38  This ia a non-Horn set with equality.  The strategy will be
% 0.13/0.38  Knuth-Bendix, ordered hyper_res, ur_res, factoring, and
% 0.13/0.38  unit deletion, with positive clauses in sos and nonpositive
% 0.13/0.38  clauses in usable.
% 0.13/0.38  
% 0.13/0.38     dependent: set(knuth_bendix).
% 0.13/0.38     dependent: set(para_from).
% 0.13/0.38     dependent: set(para_into).
% 0.13/0.38     dependent: clear(para_from_right).
% 0.13/0.38     dependent: clear(para_into_right).
% 0.13/0.38     dependent: set(para_from_vars).
% 0.13/0.38     dependent: set(eq_units_both_ways).
% 0.13/0.38     dependent: set(dynamic_demod_all).
% 0.13/0.38     dependent: set(dynamic_demod).
% 0.13/0.38     dependent: set(order_eq).
% 0.13/0.38     dependent: set(back_demod).
% 0.13/0.38     dependent: set(lrpo).
% 0.13/0.38     dependent: set(hyper_res).
% 0.13/0.38     dependent: set(unit_deletion).
% 0.13/0.38     dependent: set(factor).
% 0.13/0.38  
% 0.13/0.38  ------------> process usable:
% 0.13/0.38    Following clause subsumed by 36 during input processing: 0 [] {-} -between(A,B,C)| -between(B,A,C)|A=B|B=C.
% 0.13/0.38    Following clause subsumed by 37 during input processing: 0 [] {-} -between(A,B,C)| -between(A,C,B)|A=B|B=C.
% 0.13/0.38  
% 0.13/0.38  ------------> process sos:
% 0.13/0.38    Following clause subsumed by 73 during input processing: 0 [demod,76] {-} between(A,B,extension(A,B,A,B)).
% 0.13/0.38    Following clause subsumed by 74 during input processing: 0 [demod,76] {-} equidistant(A,extension(B,A,B,A),B,A).
% 0.13/0.38    Following clause subsumed by 82 during input processing: 0 [] {-} A=A.
% 0.13/0.38  72 back subsumes 69.
% 0.13/0.38  77 back subsumes 64.
% 0.13/0.38  77 back subsumes 51.
% 0.13/0.38    Following clause subsumed by 82 during input processing: 0 [copy,82,flip.1] {-} A=A.
% 0.13/0.38  82 back subsumes 67.
% 0.13/0.38  82 back subsumes 66.
% 0.13/0.38  82 back subsumes 65.
% 0.13/0.38  83 back subsumes 52.
% 0.13/0.38  90 back subsumes 68.
% 0.13/0.38  90 back subsumes 56.
% 0.13/0.38  90 back subsumes 55.
% 0.13/0.38  91 back subsumes 57.
% 0.13/0.38  
% 0.13/0.38  ======= end of input processing =======
% 0.75/0.95  
% 0.75/0.95  Model 1 (0.00 seconds, 0 Inserts)
% 0.75/0.95  
% 0.75/0.95  Stopped by limit on number of solutions
% 0.75/0.95  
% 0.75/0.95  
% 0.75/0.95  -------------- Softie stats --------------
% 0.75/0.95  
% 0.75/0.95  UPDATE_STOP: 300
% 0.75/0.95  SFINDER_TIME_LIMIT: 2
% 0.75/0.95  SHORT_CLAUSE_CUTOFF: 4
% 0.75/0.95  number of clauses in intial UL: 51
% 0.75/0.95  number of clauses initially in problem: 68
% 0.75/0.95  percentage of clauses intially in UL: 75
% 0.75/0.95  percentage of distinct symbols occuring in initial UL: 93
% 0.75/0.95  percent of all initial clauses that are short: 100
% 0.75/0.95  absolute distinct symbol count: 16
% 0.75/0.95     distinct predicate count: 3
% 0.75/0.95     distinct function count: 6
% 0.75/0.95     distinct constant count: 7
% 0.75/0.95  
% 0.75/0.95  ---------- no more Softie stats ----------
% 0.75/0.95  
% 0.75/0.95  
% 0.75/0.95  
% 0.75/0.95  Model 2 (0.00 seconds, 0 Inserts)
% 0.75/0.95  
% 0.75/0.95  Stopped by limit on number of solutions
% 0.75/0.95  
% 0.75/0.95  =========== start of search ===========
% 2.04/2.24  
% 2.04/2.24  -------- PROOF -------- 
% 2.04/2.24  % SZS status Unsatisfiable
% 2.04/2.24  % SZS output start Refutation
% 2.04/2.24  
% 2.04/2.24  Model 3 (0.00 seconds, 0 Inserts)
% 2.04/2.24  
% 2.04/2.24  Stopped by limit on number of solutions
% 2.04/2.24  
% 2.04/2.24  Model 4 (0.00 seconds, 0 Inserts)
% 2.04/2.24  
% 2.04/2.24  Stopped by limit on number of solutions
% 2.04/2.24  
% 2.04/2.24  Model 5 [ 36 38 147120 ] (0.00 seconds, 149839 Inserts)
% 2.04/2.24  
% 2.04/2.24  ----> UNIT CONFLICT at   1.84 sec ----> 477 [binary,475.1,44.1] {+} $F.
% 2.04/2.24  
% 2.04/2.24  Length of proof is 7.  Level of proof is 4.
% 2.04/2.24  
% 2.04/2.24  ---------------- PROOF ----------------
% 2.04/2.24  % SZS status Unsatisfiable
% 2.04/2.24  % SZS output start Refutation
% 2.04/2.24  
% 2.04/2.24  2 [] {+} -equidistant(A,B,C,C)|A=B.
% 2.04/2.24  21 [] {+} -equidistant(A,B,C,D)|equidistant(D,C,A,B).
% 2.04/2.24  23 [] {+} -equidistant(A,B,C,D)| -equidistant(C,D,E,F)|equidistant(A,B,E,F).
% 2.04/2.24  43 [] {-} lower_dimension_point_1!=lower_dimension_point_2.
% 2.04/2.24  44 [copy,43,flip.1] {+} lower_dimension_point_2!=lower_dimension_point_1.
% 2.04/2.24  49 [] {-} v=extension(u,v,lower_dimension_point_1,lower_dimension_point_2)| -equidistant(v,extension(u,v,lower_dimension_point_1,lower_dimension_point_2),x,extension(w,x,lower_dimension_point_1,lower_dimension_point_2))| -between(u,v,extension(u,v,lower_dimension_point_1,lower_dimension_point_2)).
% 2.04/2.24  50 [copy,49,flip.1] {+} extension(u,v,lower_dimension_point_1,lower_dimension_point_2)=v| -equidistant(v,extension(u,v,lower_dimension_point_1,lower_dimension_point_2),x,extension(w,x,lower_dimension_point_1,lower_dimension_point_2))| -between(u,v,extension(u,v,lower_dimension_point_1,lower_dimension_point_2)).
% 2.04/2.24  72 [] {+} equidistant(A,B,B,A).
% 2.04/2.24  73 [] {+} between(A,B,extension(A,B,C,D)).
% 2.04/2.24  74 [] {-} equidistant(A,extension(B,A,C,D),C,D).
% 2.04/2.24  115 [hyper,74,23,72] {-} equidistant(A,extension(B,A,C,D),D,C).
% 2.04/2.24  117 [hyper,74,21] {-} equidistant(A,B,C,extension(D,C,B,A)).
% 2.04/2.24  383 [hyper,117,23,115] {-} equidistant(A,extension(B,A,C,D),E,extension(F,E,C,D)).
% 2.04/2.24  445 [para_into,117.1.4,50.1.1,unit_del,383,73] {-} equidistant(lower_dimension_point_2,lower_dimension_point_1,v,v).
% 2.04/2.24  475 [hyper,445,2] {-} lower_dimension_point_2=lower_dimension_point_1.
% 2.04/2.24  477 [binary,475.1,44.1] {+} $F.
% 2.04/2.24  
% 2.04/2.24  % SZS output end Refutation
% 2.04/2.24  ------------ end of proof -------------
% 2.04/2.24  
% 2.04/2.24  
% 2.04/2.24  Search stopped by max_proofs option.
% 2.04/2.24  
% 2.04/2.24  
% 2.04/2.24  Search stopped by max_proofs option.
% 2.04/2.24  
% 2.04/2.24  ============ end of search ============
% 2.04/2.24  
% 2.04/2.24  ----------- soft-scott stats ----------
% 2.04/2.24  
% 2.04/2.24  true clauses given           5      (33.3%)
% 2.04/2.24  false clauses given         10
% 2.04/2.24  
% 2.04/2.24        FALSE     TRUE
% 2.04/2.24     7  0         1
% 2.04/2.24     8  0         2
% 2.04/2.24     9  3         8
% 2.04/2.24    10  1         4
% 2.04/2.24    11  0         3
% 2.04/2.24    12  0         5
% 2.04/2.24    13  24        6
% 2.04/2.24    14  7         2
% 2.04/2.24    15  7         3
% 2.04/2.24    16  0         8
% 2.04/2.24    17  10        10
% 2.04/2.24    18  8         5
% 2.04/2.24    19  1         6
% 2.04/2.24    20  0         12
% 2.04/2.24    21  15        3
% 2.04/2.24    22  2         3
% 2.04/2.24    23  5         2
% 2.04/2.24    24  5         2
% 2.04/2.24    25  8         2
% 2.04/2.24    26  1         1
% 2.04/2.24    27  3         1
% 2.04/2.24    28  1         7
% 2.04/2.24    29  27        2
% 2.04/2.24    30  7         1
% 2.04/2.24    31  6         3
% 2.04/2.24    32  2         6
% 2.04/2.24    33  0         3
% 2.04/2.24    34  17        0
% 2.04/2.24    35  5         1
% 2.04/2.24    36  7         4
% 2.04/2.24    37  0         2
% 2.04/2.24    38  5         1
% 2.04/2.24    39  7         1
% 2.04/2.24    40  0         1
% 2.04/2.24    42  3         1
% 2.04/2.24    43  7         1
% 2.04/2.24    44  5         0
% 2.04/2.24    45  2         2
% 2.04/2.24    46  2         0
% 2.04/2.24    47  2         0
% 2.04/2.24    49  0         1
% 2.04/2.24    50  7         0
% 2.04/2.24    51  2         0
% 2.04/2.24    54  2         0
% 2.04/2.24  tot:  216       126      (36.8% true)
% 2.04/2.24  
% 2.04/2.24  
% 2.04/2.24  Model 5 [ 36 -29 147120 ] (0.00 seconds, 149839 Inserts)
% 2.04/2.24  
% 2.04/2.24  That finishes the proof of the theorem.
% 2.04/2.24  
% 2.04/2.24  Process 16798 finished Sat Jun 18 04:48:05 2022
%------------------------------------------------------------------------------