TSTP Solution File: LDA007-1 by SOS---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SOS---2.0
% Problem  : LDA007-1 : TPTP v8.1.0. Bugfixed v2.6.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : sos-script %s

% Computer : n024.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 : Sun Jul 17 16:45:52 EDT 2022

% Result   : Unsatisfiable 0.40s 0.62s
% Output   : Refutation 0.40s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : LDA007-1 : TPTP v8.1.0. Bugfixed v2.6.0.
% 0.03/0.12  % Command  : sos-script %s
% 0.12/0.33  % Computer : n024.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Mon May 30 03:34:36 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.12/0.35  ----- Otter 3.2, August 2001 -----
% 0.12/0.35  The process was started by sandbox2 on n024.cluster.edu,
% 0.12/0.35  Mon May 30 03:34:36 2022
% 0.12/0.35  The command was "./sos".  The process ID is 7883.
% 0.12/0.35  
% 0.12/0.35  set(prolog_style_variables).
% 0.12/0.35  set(auto).
% 0.12/0.35     dependent: set(auto1).
% 0.12/0.35     dependent: set(process_input).
% 0.12/0.35     dependent: clear(print_kept).
% 0.12/0.35     dependent: clear(print_new_demod).
% 0.12/0.35     dependent: clear(print_back_demod).
% 0.12/0.35     dependent: clear(print_back_sub).
% 0.12/0.35     dependent: set(control_memory).
% 0.12/0.35     dependent: assign(max_mem, 12000).
% 0.12/0.35     dependent: assign(pick_given_ratio, 4).
% 0.12/0.35     dependent: assign(stats_level, 1).
% 0.12/0.35     dependent: assign(pick_semantic_ratio, 3).
% 0.12/0.35     dependent: assign(sos_limit, 5000).
% 0.12/0.35     dependent: assign(max_weight, 60).
% 0.12/0.35  clear(print_given).
% 0.12/0.35  
% 0.12/0.35  list(usable).
% 0.12/0.35  
% 0.12/0.35  SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=3.
% 0.12/0.35  
% 0.12/0.35  This ia a non-Horn set with equality.  The strategy will be
% 0.12/0.35  Knuth-Bendix, ordered hyper_res, ur_res, factoring, and
% 0.12/0.35  unit deletion, with positive clauses in sos and nonpositive
% 0.12/0.35  clauses in usable.
% 0.12/0.35  
% 0.12/0.35     dependent: set(knuth_bendix).
% 0.12/0.35     dependent: set(para_from).
% 0.12/0.35     dependent: set(para_into).
% 0.12/0.35     dependent: clear(para_from_right).
% 0.12/0.35     dependent: clear(para_into_right).
% 0.18/0.35     dependent: set(para_from_vars).
% 0.18/0.35     dependent: set(eq_units_both_ways).
% 0.18/0.35     dependent: set(dynamic_demod_all).
% 0.18/0.35     dependent: set(dynamic_demod).
% 0.18/0.35     dependent: set(order_eq).
% 0.18/0.35     dependent: set(back_demod).
% 0.18/0.35     dependent: set(lrpo).
% 0.18/0.35     dependent: set(hyper_res).
% 0.18/0.35     dependent: set(unit_deletion).
% 0.18/0.35     dependent: set(factor).
% 0.18/0.35  
% 0.18/0.35  ------------> process usable:
% 0.18/0.35  
% 0.18/0.35  ------------> process sos:
% 0.18/0.35    Following clause subsumed by 47 during input processing: 0 [copy,47,flip.1] {-} A=A.
% 0.18/0.35  
% 0.18/0.35  ======= end of input processing =======
% 0.18/0.37  
% 0.18/0.37  Model 1 (0.00 seconds, 0 Inserts)
% 0.18/0.37  
% 0.18/0.37  Stopped by limit on number of solutions
% 0.18/0.37  
% 0.18/0.37  
% 0.18/0.37  -------------- Softie stats --------------
% 0.18/0.37  
% 0.18/0.37  UPDATE_STOP: 300
% 0.18/0.37  SFINDER_TIME_LIMIT: 2
% 0.18/0.37  SHORT_CLAUSE_CUTOFF: 4
% 0.18/0.37  number of clauses in intial UL: 5
% 0.18/0.37  number of clauses initially in problem: 34
% 0.18/0.37  percentage of clauses intially in UL: 14
% 0.18/0.37  percentage of distinct symbols occuring in initial UL: 52
% 0.18/0.37  percent of all initial clauses that are short: 100
% 0.18/0.37  absolute distinct symbol count: 17
% 0.18/0.37     distinct predicate count: 2
% 0.18/0.37     distinct function count: 3
% 0.18/0.37     distinct constant count: 12
% 0.18/0.37  
% 0.18/0.37  ---------- no more Softie stats ----------
% 0.18/0.37  
% 0.18/0.37  
% 0.18/0.37  
% 0.18/0.37  =========== start of search ===========
% 0.40/0.62  
% 0.40/0.62  -------- PROOF -------- 
% 0.40/0.62  % SZS status Unsatisfiable
% 0.40/0.62  % SZS output start Refutation
% 0.40/0.62  
% 0.40/0.62  Model 2 (0.00 seconds, 0 Inserts)
% 0.40/0.62  
% 0.40/0.62  Stopped by limit on number of solutions
% 0.40/0.62  
% 0.40/0.62  Stopped by limit on insertions
% 0.40/0.62  
% 0.40/0.62  ----> UNIT CONFLICT at   0.25 sec ----> 853 [binary,851.1,6.1] {-} $F.
% 0.40/0.62  
% 0.40/0.62  Length of proof is 11.  Level of proof is 4.
% 0.40/0.62  
% 0.40/0.62  ---------------- PROOF ----------------
% 0.40/0.62  % SZS status Unsatisfiable
% 0.40/0.62  % SZS output start Refutation
% 0.40/0.62  
% 0.40/0.62  5 [] {-} f(t,tsk)!=f(tt_ts,tk).
% 0.40/0.62  6 [copy,5,flip.1] {+} f(tt_ts,tk)!=f(t,tsk).
% 0.40/0.62  7 [] {-} f(A,f(B,C))=f(f(A,B),f(A,C)).
% 0.40/0.62  8 [copy,7,flip.1] {-} f(f(A,B),f(A,C))=f(A,f(B,C)).
% 0.40/0.62  17 [] {-} tt=f(t,t).
% 0.40/0.62  18 [copy,17,flip.1] {+} f(t,t)=tt.
% 0.40/0.62  23 [] {-} ts=f(t,s).
% 0.40/0.62  25,24 [copy,23,flip.1] {+} f(t,s)=ts.
% 0.40/0.62  26 [] {-} tt_ts=f(tt,ts).
% 0.40/0.62  28,27 [copy,26,flip.1] {+} f(tt,ts)=tt_ts.
% 0.40/0.62  35 [] {-} tk=f(t,k).
% 0.40/0.62  36 [copy,35,flip.1] {-} f(t,k)=tk.
% 0.40/0.62  41 [] {-} tsk=f(ts,k).
% 0.40/0.62  43,42 [copy,41,flip.1] {-} f(ts,k)=tsk.
% 0.40/0.62  54 [para_from,18.1.1,8.1.1.1] {-} f(tt,f(t,A))=f(t,f(t,A)).
% 0.40/0.62  78 [para_from,36.1.1,8.1.1.2] {-} f(f(t,A),tk)=f(t,f(A,k)).
% 0.40/0.62  646 [para_into,54.1.1.2,24.1.1,demod,28,25,flip.1] {-} f(t,ts)=tt_ts.
% 0.40/0.62  851 [para_into,78.1.1.1,646.1.1,demod,43] {-} f(tt_ts,tk)=f(t,tsk).
% 0.40/0.62  853 [binary,851.1,6.1] {-} $F.
% 0.40/0.62  
% 0.40/0.62  % SZS output end Refutation
% 0.40/0.62  ------------ end of proof -------------
% 0.40/0.62  
% 0.40/0.62  
% 0.40/0.62  Search stopped by max_proofs option.
% 0.40/0.62  
% 0.40/0.62  
% 0.40/0.62  Search stopped by max_proofs option.
% 0.40/0.62  
% 0.40/0.62  ============ end of search ============
% 0.40/0.62  
% 0.40/0.62  ----------- soft-scott stats ----------
% 0.40/0.62  
% 0.40/0.62  true clauses given          10      (20.8%)
% 0.40/0.62  false clauses given         38
% 0.40/0.62  
% 0.40/0.62        FALSE     TRUE
% 0.40/0.62     7  0         5
% 0.40/0.62     8  0         2
% 0.40/0.62     9  0         3
% 0.40/0.62    10  0         4
% 0.40/0.62    11  35        31
% 0.40/0.62    12  7         3
% 0.40/0.62    13  31        22
% 0.40/0.62    14  19        6
% 0.40/0.62    15  32        12
% 0.40/0.62    16  30        15
% 0.40/0.62    17  67        28
% 0.40/0.62    18  37        8
% 0.40/0.62    19  57        12
% 0.40/0.62    20  11        0
% 0.40/0.62    21  23        9
% 0.40/0.62    23  8         0
% 0.40/0.62    25  8         4
% 0.40/0.62    27  8         1
% 0.40/0.62    29  11        1
% 0.40/0.62    31  6         1
% 0.40/0.62    33  2         0
% 0.40/0.62    37  2         0
% 0.40/0.62    39  6         0
% 0.40/0.62    45  4         0
% 0.40/0.62  tot:  404       167      (29.2% true)
% 0.40/0.62  
% 0.40/0.62  
% 0.40/0.62  Model 2 (0.00 seconds, 0 Inserts)
% 0.40/0.62  
% 0.40/0.62  That finishes the proof of the theorem.
% 0.40/0.62  
% 0.40/0.62  Process 7883 finished Mon May 30 03:34:36 2022
%------------------------------------------------------------------------------