TSTP Solution File: SET008-1 by SOS---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SOS---2.0
% Problem  : SET008-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : sos-script %s

% Computer : n007.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 : Tue Jul 19 05:14:01 EDT 2022

% Result   : Unsatisfiable 0.91s 1.14s
% Output   : Refutation 0.91s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : SET008-1 : TPTP v8.1.0. Released v1.0.0.
% 0.06/0.13  % Command  : sos-script %s
% 0.13/0.34  % Computer : n007.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 : Sun Jul 10 20:05:17 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.13/0.36  ----- Otter 3.2, August 2001 -----
% 0.13/0.36  The process was started by sandbox on n007.cluster.edu,
% 0.13/0.36  Sun Jul 10 20:05:17 2022
% 0.13/0.36  The command was "./sos".  The process ID is 1989.
% 0.13/0.36  
% 0.13/0.36  set(prolog_style_variables).
% 0.13/0.36  set(auto).
% 0.13/0.36     dependent: set(auto1).
% 0.13/0.36     dependent: set(process_input).
% 0.13/0.36     dependent: clear(print_kept).
% 0.13/0.36     dependent: clear(print_new_demod).
% 0.13/0.36     dependent: clear(print_back_demod).
% 0.13/0.36     dependent: clear(print_back_sub).
% 0.13/0.36     dependent: set(control_memory).
% 0.13/0.36     dependent: assign(max_mem, 12000).
% 0.13/0.36     dependent: assign(pick_given_ratio, 4).
% 0.13/0.36     dependent: assign(stats_level, 1).
% 0.13/0.36     dependent: assign(pick_semantic_ratio, 3).
% 0.13/0.36     dependent: assign(sos_limit, 5000).
% 0.13/0.36     dependent: assign(max_weight, 60).
% 0.13/0.36  clear(print_given).
% 0.13/0.36  
% 0.13/0.36  list(usable).
% 0.13/0.36  
% 0.13/0.36  SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=4.
% 0.13/0.36  
% 0.13/0.36  This ia a non-Horn set with equality.  The strategy will be
% 0.13/0.36  Knuth-Bendix, ordered hyper_res, ur_res, factoring, and
% 0.13/0.36  unit deletion, with positive clauses in sos and nonpositive
% 0.13/0.36  clauses in usable.
% 0.13/0.36  
% 0.13/0.36     dependent: set(knuth_bendix).
% 0.13/0.36     dependent: set(para_from).
% 0.13/0.36     dependent: set(para_into).
% 0.13/0.36     dependent: clear(para_from_right).
% 0.13/0.36     dependent: clear(para_into_right).
% 0.13/0.36     dependent: set(para_from_vars).
% 0.13/0.36     dependent: set(eq_units_both_ways).
% 0.13/0.36     dependent: set(dynamic_demod_all).
% 0.13/0.36     dependent: set(dynamic_demod).
% 0.13/0.36     dependent: set(order_eq).
% 0.13/0.36     dependent: set(back_demod).
% 0.13/0.36     dependent: set(lrpo).
% 0.13/0.36     dependent: set(hyper_res).
% 0.13/0.36     dependent: set(unit_deletion).
% 0.13/0.36     dependent: set(factor).
% 0.13/0.36  
% 0.13/0.36  ------------> process usable:
% 0.13/0.36  
% 0.13/0.36  ------------> process sos:
% 0.13/0.36  
% 0.13/0.36  ======= end of input processing =======
% 0.13/0.40  
% 0.13/0.40  Model 1 (0.00 seconds, 0 Inserts)
% 0.13/0.40  
% 0.13/0.40  Stopped by limit on number of solutions
% 0.13/0.40  
% 0.13/0.40  
% 0.13/0.40  -------------- Softie stats --------------
% 0.13/0.40  
% 0.13/0.40  UPDATE_STOP: 300
% 0.13/0.40  SFINDER_TIME_LIMIT: 2
% 0.13/0.40  SHORT_CLAUSE_CUTOFF: 4
% 0.13/0.40  number of clauses in intial UL: 25
% 0.13/0.40  number of clauses initially in problem: 33
% 0.13/0.40  percentage of clauses intially in UL: 75
% 0.13/0.40  percentage of distinct symbols occuring in initial UL: 91
% 0.13/0.40  percent of all initial clauses that are short: 100
% 0.13/0.40  absolute distinct symbol count: 12
% 0.13/0.40     distinct predicate count: 5
% 0.13/0.40     distinct function count: 3
% 0.13/0.40     distinct constant count: 4
% 0.13/0.40  
% 0.13/0.40  ---------- no more Softie stats ----------
% 0.13/0.40  
% 0.13/0.40  
% 0.13/0.40  
% 0.13/0.40  Model 2 (0.00 seconds, 0 Inserts)
% 0.13/0.40  
% 0.13/0.40  Stopped by limit on number of solutions
% 0.13/0.40  
% 0.13/0.40  =========== start of search ===========
% 0.91/1.14  
% 0.91/1.14  -------- PROOF -------- 
% 0.91/1.14  % SZS status Unsatisfiable
% 0.91/1.14  % SZS output start Refutation
% 0.91/1.14  
% 0.91/1.14  Model 3 (0.00 seconds, 0 Inserts)
% 0.91/1.14  
% 0.91/1.14  Stopped by limit on number of solutions
% 0.91/1.14  
% 0.91/1.14  Stopped by limit on insertions
% 0.91/1.14  
% 0.91/1.14  Model 4 [ 6 1 662 ] (0.00 seconds, 250000 Inserts)
% 0.91/1.14  
% 0.91/1.14  Stopped by limit on insertions
% 0.91/1.14  
% 0.91/1.14  Model 5 [ 2 0 502 ] (0.00 seconds, 250000 Inserts)
% 0.91/1.14  
% 0.91/1.14  Stopped by limit on insertions
% 0.91/1.14  
% 0.91/1.14  Model 6 [ 2 1 2636 ] (0.00 seconds, 250000 Inserts)
% 0.91/1.14  
% 0.91/1.14  Stopped by limit on insertions
% 0.91/1.14  
% 0.91/1.14  Model 7 [ 7 1 661 ] (0.00 seconds, 250000 Inserts)
% 0.91/1.14  
% 0.91/1.14  Stopped by limit on insertions
% 0.91/1.14  
% 0.91/1.14  Model 8 [ 7 0 428 ] (0.00 seconds, 250000 Inserts)
% 0.91/1.14  
% 0.91/1.14  Model 9 (0.00 seconds, 250000 Inserts)
% 0.91/1.14  
% 0.91/1.14  Stopped by limit on number of solutions
% 0.91/1.14  
% 0.91/1.14  Stopped by limit on insertions
% 0.91/1.14  
% 0.91/1.14  Model 10 [ 4 0 235 ] (0.00 seconds, 250000 Inserts)
% 0.91/1.14  
% 0.91/1.14  Stopped by limit on insertions
% 0.91/1.14  
% 0.91/1.14  Model 11 [ 1 6 167463 ] (0.00 seconds, 250000 Inserts)
% 0.91/1.14  
% 0.91/1.14  Stopped by limit on insertions
% 0.91/1.14  
% 0.91/1.14  Model 12 [ 1 1 31243 ] (0.00 seconds, 250000 Inserts)
% 0.91/1.14  
% 0.91/1.14  Stopped by limit on insertions
% 0.91/1.14  
% 0.91/1.14  Model 13 [ 10 0 161 ] (0.00 seconds, 250000 Inserts)
% 0.91/1.14  
% 0.91/1.14  -----> EMPTY CLAUSE at   0.76 sec ----> 110 [hyper,53,11,28,30,unit_del,15,16,15] {-} $F.
% 0.91/1.14  
% 0.91/1.14  Length of proof is 1.  Level of proof is 1.
% 0.91/1.14  
% 0.91/1.14  ---------------- PROOF ----------------
% 0.91/1.14  % SZS status Unsatisfiable
% 0.91/1.14  % SZS output start Refutation
% 0.91/1.14  
% 0.91/1.14  11 [] {+} -member(A,B)| -member(A,C)| -difference(D,B,C).
% 0.91/1.14  15 [] {+} -intersection(a,bDa,aI_bDa).
% 0.91/1.14  16 [] {+} -member(A,aI_bDa).
% 0.91/1.14  27 [] {+} member(h(A,B,C),C)|intersection(A,B,C)|member(h(A,B,C),A).
% 0.91/1.14  28 [] {+} member(h(A,B,C),C)|intersection(A,B,C)|member(h(A,B,C),B).
% 0.91/1.14  30 [] {+} difference(b,a,bDa).
% 0.91/1.14  53 [hyper,27,16] {+} intersection(A,B,aI_bDa)|member(h(A,B,aI_bDa),A).
% 0.91/1.14  110 [hyper,53,11,28,30,unit_del,15,16,15] {-} $F.
% 0.91/1.14  
% 0.91/1.14  % SZS output end Refutation
% 0.91/1.14  ------------ end of proof -------------
% 0.91/1.14  
% 0.91/1.14  
% 0.91/1.14  Search stopped by max_proofs option.
% 0.91/1.14  
% 0.91/1.14  
% 0.91/1.14  Search stopped by max_proofs option.
% 0.91/1.14  
% 0.91/1.14  ============ end of search ============
% 0.91/1.14  
% 0.91/1.14  ----------- soft-scott stats ----------
% 0.91/1.14  
% 0.91/1.14  true clauses given           3      (20.0%)
% 0.91/1.14  false clauses given         12
% 0.91/1.14  
% 0.91/1.14        FALSE     TRUE
% 0.91/1.14     3  1         0
% 0.91/1.14     4  1         1
% 0.91/1.14    10  7         13
% 0.91/1.14    13  1         0
% 0.91/1.14    15  4         3
% 0.91/1.14    16  3         14
% 0.91/1.14    19  1         2
% 0.91/1.14    21  2         2
% 0.91/1.14    22  0         4
% 0.91/1.14    25  0         4
% 0.91/1.14  tot:  20        43      (68.3% true)
% 0.91/1.14  
% 0.91/1.14  
% 0.91/1.14  Model 13 [ 10 0 161 ] (0.00 seconds, 250000 Inserts)
% 0.91/1.14  
% 0.91/1.14  That finishes the proof of the theorem.
% 0.91/1.14  
% 0.91/1.14  Process 1989 finished Sun Jul 10 20:05:18 2022
%------------------------------------------------------------------------------