TSTP Solution File: CAT019-3 by SOS---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SOS---2.0
% Problem  : CAT019-3 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : sos-script %s

% Computer : n026.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 : Fri Jul 15 00:07:21 EDT 2022

% Result   : Unsatisfiable 0.20s 0.47s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : CAT019-3 : TPTP v8.1.0. Released v1.0.0.
% 0.06/0.13  % Command  : sos-script %s
% 0.13/0.33  % Computer : n026.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 600
% 0.13/0.33  % DateTime : Sun May 29 19:58:55 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.13/0.35  ----- Otter 3.2, August 2001 -----
% 0.13/0.35  The process was started by sandbox2 on n026.cluster.edu,
% 0.13/0.35  Sun May 29 19:58:55 2022
% 0.13/0.35  The command was "./sos".  The process ID is 4683.
% 0.13/0.35  
% 0.13/0.35  set(prolog_style_variables).
% 0.13/0.35  set(auto).
% 0.13/0.35     dependent: set(auto1).
% 0.13/0.35     dependent: set(process_input).
% 0.13/0.35     dependent: clear(print_kept).
% 0.13/0.35     dependent: clear(print_new_demod).
% 0.13/0.35     dependent: clear(print_back_demod).
% 0.13/0.35     dependent: clear(print_back_sub).
% 0.13/0.35     dependent: set(control_memory).
% 0.13/0.35     dependent: assign(max_mem, 12000).
% 0.13/0.35     dependent: assign(pick_given_ratio, 4).
% 0.13/0.35     dependent: assign(stats_level, 1).
% 0.13/0.35     dependent: assign(pick_semantic_ratio, 3).
% 0.13/0.35     dependent: assign(sos_limit, 5000).
% 0.13/0.35     dependent: assign(max_weight, 60).
% 0.13/0.35  clear(print_given).
% 0.13/0.35  
% 0.13/0.35  list(usable).
% 0.13/0.35  
% 0.13/0.35  SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=4.
% 0.13/0.35  
% 0.13/0.35  This ia a non-Horn set with equality.  The strategy will be
% 0.13/0.35  Knuth-Bendix, ordered hyper_res, ur_res, factoring, and
% 0.13/0.35  unit deletion, with positive clauses in sos and nonpositive
% 0.13/0.35  clauses in usable.
% 0.13/0.35  
% 0.13/0.35     dependent: set(knuth_bendix).
% 0.13/0.35     dependent: set(para_from).
% 0.13/0.35     dependent: set(para_into).
% 0.13/0.35     dependent: clear(para_from_right).
% 0.13/0.35     dependent: clear(para_into_right).
% 0.13/0.35     dependent: set(para_from_vars).
% 0.13/0.35     dependent: set(eq_units_both_ways).
% 0.13/0.35     dependent: set(dynamic_demod_all).
% 0.13/0.35     dependent: set(dynamic_demod).
% 0.13/0.35     dependent: set(order_eq).
% 0.13/0.35     dependent: set(back_demod).
% 0.13/0.35     dependent: set(lrpo).
% 0.13/0.35     dependent: set(hyper_res).
% 0.13/0.35     dependent: set(unit_deletion).
% 0.13/0.35     dependent: set(factor).
% 0.13/0.35  
% 0.13/0.35  ------------> process usable:
% 0.13/0.35    Following clause subsumed by 3 during input processing: 0 [] {-} -there_exists(A)| -there_exists(B)|A!=B|equivalent(A,B).
% 0.13/0.35  
% 0.13/0.35  ------------> process sos:
% 0.13/0.35    Following clause subsumed by 28 during input processing: 0 [copy,28,flip.1] {-} A=A.
% 0.13/0.35  28 back subsumes 17.
% 0.13/0.35  
% 0.13/0.35  ======= end of input processing =======
% 0.20/0.38  
% 0.20/0.38  Model 1 (0.00 seconds, 0 Inserts)
% 0.20/0.38  
% 0.20/0.38  Stopped by limit on number of solutions
% 0.20/0.38  
% 0.20/0.38  
% 0.20/0.38  -------------- Softie stats --------------
% 0.20/0.38  
% 0.20/0.38  UPDATE_STOP: 300
% 0.20/0.38  SFINDER_TIME_LIMIT: 2
% 0.20/0.38  SHORT_CLAUSE_CUTOFF: 4
% 0.20/0.38  number of clauses in intial UL: 14
% 0.20/0.38  number of clauses initially in problem: 23
% 0.20/0.38  percentage of clauses intially in UL: 60
% 0.20/0.38  percentage of distinct symbols occuring in initial UL: 100
% 0.20/0.38  percent of all initial clauses that are short: 100
% 0.20/0.38  absolute distinct symbol count: 9
% 0.20/0.38     distinct predicate count: 3
% 0.20/0.38     distinct function count: 4
% 0.20/0.38     distinct constant count: 2
% 0.20/0.38  
% 0.20/0.38  ---------- no more Softie stats ----------
% 0.20/0.38  
% 0.20/0.38  
% 0.20/0.38  
% 0.20/0.38  =========== start of search ===========
% 0.20/0.47  
% 0.20/0.47  -------- PROOF -------- 
% 0.20/0.47  % SZS status Unsatisfiable
% 0.20/0.47  % SZS output start Refutation
% 0.20/0.47  
% 0.20/0.47  Model 2 (0.00 seconds, 0 Inserts)
% 0.20/0.47  
% 0.20/0.47  Stopped by limit on number of solutions
% 0.20/0.47  
% 0.20/0.47  Model 3 (0.00 seconds, 0 Inserts)
% 0.20/0.47  
% 0.20/0.47  Stopped by limit on number of solutions
% 0.20/0.47  
% 0.20/0.47  Model 4 (0.00 seconds, 0 Inserts)
% 0.20/0.47  
% 0.20/0.47  Stopped by limit on number of solutions
% 0.20/0.47  
% 0.20/0.47  Model 5 [ 2 1 524 ] (0.00 seconds, 784 Inserts)
% 0.20/0.47  
% 0.20/0.47  Model 6 [ 2 0 184 ] (0.00 seconds, 351 Inserts)
% 0.20/0.47  
% 0.20/0.47  ----> UNIT CONFLICT at   0.10 sec ----> 312 [binary,310.1,16.1] {-} $F.
% 0.20/0.47  
% 0.20/0.48  Length of proof is 9.  Level of proof is 6.
% 0.20/0.48  
% 0.20/0.48  ---------------- PROOF ----------------
% 0.20/0.48  % SZS status Unsatisfiable
% 0.20/0.48  % SZS output start Refutation
% 0.20/0.48  
% 0.20/0.48  13 [] {+} -there_exists(A)|a!=A|b=A.
% 0.20/0.48  14 [] {+} -there_exists(A)|a=A|b!=A.
% 0.20/0.48  15 [] {-} a!=b.
% 0.20/0.48  16 [copy,15,flip.1] {+} b!=a.
% 0.20/0.48  24,23 [] {+} compose(codomain(A),A)=A.
% 0.20/0.48  25 [] {+} there_exists(f1(A,B))|A=B.
% 0.20/0.48  26 [] {-} A=f1(A,B)|B=f1(A,B)|A=B.
% 0.20/0.48  27 [copy,26,flip.1,flip.2] {+} f1(A,B)=A|f1(A,B)=B|A=B.
% 0.20/0.48  28 [] {+} A=A.
% 0.20/0.48  65 [para_from,25.2.1,23.1.1,demod,24] {+} A=B|there_exists(f1(B,A)).
% 0.20/0.48  90 [hyper,27,16] {-} f1(b,a)=b|f1(b,a)=a.
% 0.20/0.48  234 [para_from,90.1.1,65.2.1,unit_del,16] {-} there_exists(b)|f1(b,a)=a.
% 0.20/0.48  235 [para_from,90.2.1,65.2.1,unit_del,16] {-} there_exists(a)|f1(b,a)=b.
% 0.20/0.48  291,290 [hyper,234,14,28,unit_del,16] {-} f1(b,a)=a.
% 0.20/0.48  292 [back_demod,235,demod,291,unit_del,16] {-} there_exists(a).
% 0.20/0.48  310 [hyper,292,13,28] {-} b=a.
% 0.20/0.48  312 [binary,310.1,16.1] {-} $F.
% 0.20/0.48  
% 0.20/0.48  % SZS output end Refutation
% 0.20/0.48  ------------ end of proof -------------
% 0.20/0.48  
% 0.20/0.48  
% 0.20/0.48  Search stopped by max_proofs option.
% 0.20/0.48  
% 0.20/0.48  
% 0.20/0.48  Search stopped by max_proofs option.
% 0.20/0.48  
% 0.20/0.48  ============ end of search ============
% 0.20/0.48  
% 0.20/0.48  ----------- soft-scott stats ----------
% 0.20/0.48  
% 0.20/0.48  true clauses given           2      (15.4%)
% 0.20/0.48  false clauses given         11
% 0.20/0.48  
% 0.20/0.48        FALSE     TRUE
% 0.20/0.48     3  1         0
% 0.20/0.48     5  1         1
% 0.20/0.48     6  0         4
% 0.20/0.48     7  1         3
% 0.20/0.48     8  2         7
% 0.20/0.48     9  4         8
% 0.20/0.48    10  4         11
% 0.20/0.48    11  1         15
% 0.20/0.48    12  1         12
% 0.20/0.48    13  6         12
% 0.20/0.48    14  16        4
% 0.20/0.48    15  4         11
% 0.20/0.48    16  3         8
% 0.20/0.48    17  6         9
% 0.20/0.48    18  2         9
% 0.20/0.48    19  0         2
% 0.20/0.48    20  7         3
% 0.20/0.48    21  0         7
% 0.20/0.48    22  1         1
% 0.20/0.48    23  0         2
% 0.20/0.48    24  2         11
% 0.20/0.48    25  1         2
% 0.20/0.48    26  1         3
% 0.20/0.48    27  2         6
% 0.20/0.48    28  1         5
% 0.20/0.48    29  11        1
% 0.20/0.48    30  0         2
% 0.20/0.48    32  0         3
% 0.20/0.48    33  3         0
% 0.20/0.48    34  1         2
% 0.20/0.48    35  0         1
% 0.20/0.48    36  1         0
% 0.20/0.48    39  3         3
% 0.20/0.48    43  5         2
% 0.20/0.48    59  1         0
% 0.20/0.48  tot:  92        170      (64.9% true)
% 0.20/0.48  
% 0.20/0.48  
% 0.20/0.48  Model 6 [ 2 -4 184 ] (0.00 seconds, 351 Inserts)
% 0.20/0.48  
% 0.20/0.48  That finishes the proof of the theorem.
% 0.20/0.48  
% 0.20/0.48  Process 4683 finished Sun May 29 19:58:55 2022
%------------------------------------------------------------------------------