TSTP Solution File: SET591+3 by SOS---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SOS---2.0
% Problem  : SET591+3 : TPTP v8.1.0. Released v2.2.0.
% 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 : Tue Jul 19 05:19:08 EDT 2022

% Result   : Theorem 0.20s 0.55s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : SET591+3 : TPTP v8.1.0. Released v2.2.0.
% 0.11/0.13  % Command  : sos-script %s
% 0.13/0.34  % Computer : n024.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 12:44:58 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 n024.cluster.edu,
% 0.13/0.36  Sun Jul 10 12:44:58 2022
% 0.13/0.36  The command was "./sos".  The process ID is 2328.
% 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  formula_list(usable).
% 0.13/0.36  
% 0.13/0.36  SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=3.
% 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    Following clause subsumed by 18 during input processing: 0 [copy,18,flip.1] {-} A=A.
% 0.13/0.36  18 back subsumes 13.
% 0.13/0.36  
% 0.13/0.36  ======= end of input processing =======
% 0.13/0.39  
% 0.13/0.39  Model 1 (0.00 seconds, 0 Inserts)
% 0.13/0.39  
% 0.13/0.39  Stopped by limit on number of solutions
% 0.13/0.39  
% 0.13/0.39  
% 0.13/0.39  -------------- Softie stats --------------
% 0.13/0.39  
% 0.13/0.39  UPDATE_STOP: 300
% 0.13/0.39  SFINDER_TIME_LIMIT: 2
% 0.13/0.39  SHORT_CLAUSE_CUTOFF: 4
% 0.13/0.39  number of clauses in intial UL: 11
% 0.13/0.39  number of clauses initially in problem: 16
% 0.13/0.39  percentage of clauses intially in UL: 68
% 0.13/0.39  percentage of distinct symbols occuring in initial UL: 80
% 0.13/0.39  percent of all initial clauses that are short: 100
% 0.13/0.39  absolute distinct symbol count: 10
% 0.13/0.39     distinct predicate count: 4
% 0.13/0.39     distinct function count: 3
% 0.13/0.39     distinct constant count: 3
% 0.13/0.39  
% 0.13/0.39  ---------- no more Softie stats ----------
% 0.13/0.39  
% 0.13/0.39  
% 0.13/0.39  
% 0.13/0.39  Model 2 (0.00 seconds, 0 Inserts)
% 0.13/0.39  
% 0.13/0.39  Stopped by limit on number of solutions
% 0.13/0.39  
% 0.13/0.39  =========== start of search ===========
% 0.20/0.55  
% 0.20/0.55  -------- PROOF -------- 
% 0.20/0.55  % SZS status Theorem
% 0.20/0.55  % SZS output start Refutation
% 0.20/0.55  
% 0.20/0.55  Model 3 [ 1 1 3369 ] (0.00 seconds, 5471 Inserts)
% 0.20/0.55  
% 0.20/0.55  Stopped by limit on insertions
% 0.20/0.55  
% 0.20/0.55  Model 4 [ 1 1 77 ] (0.00 seconds, 250000 Inserts)
% 0.20/0.55  
% 0.20/0.55  Stopped by limit on insertions
% 0.20/0.55  
% 0.20/0.55  Model 5 [ 2 0 63 ] (0.00 seconds, 250000 Inserts)
% 0.20/0.55  
% 0.20/0.55  ----> UNIT CONFLICT at   0.17 sec ----> 83 [binary,81.1,12.1] {-} $F.
% 0.20/0.55  
% 0.20/0.55  Length of proof is 5.  Level of proof is 4.
% 0.20/0.55  
% 0.20/0.55  ---------------- PROOF ----------------
% 0.20/0.55  % SZS status Theorem
% 0.20/0.55  % SZS output start Refutation
% 0.20/0.55  
% 0.20/0.55  1 [] {+} -subset(A,B)| -member(C,A)|member(C,B).
% 0.20/0.55  4 [] {+} -member(A,difference(B,C))| -member(A,C).
% 0.20/0.55  6 [] {+} -member(A,empty_set).
% 0.20/0.55  9 [] {+} A=B| -subset(A,B)| -subset(B,A).
% 0.20/0.55  11 [] {-} $c2!=empty_set.
% 0.20/0.55  12 [copy,11,flip.1] {+} empty_set!=$c2.
% 0.20/0.55  14 [] {+} subset(A,B)|member($f1(A,B),A).
% 0.20/0.55  17 [] {+} subset($c2,difference($c1,$c2)).
% 0.20/0.55  19 [hyper,14,9,14] {-} member($f1(A,B),A)|B=A|member($f1(B,A),B).
% 0.20/0.55  28 [hyper,19,6] {+} A=empty_set|member($f1(A,empty_set),A).
% 0.20/0.55  62 [hyper,28,1,17,unit_del,12] {-} member($f1($c2,empty_set),difference($c1,$c2)).
% 0.20/0.55  81 [hyper,62,4,28,flip.1] {-} empty_set=$c2.
% 0.20/0.55  83 [binary,81.1,12.1] {-} $F.
% 0.20/0.55  
% 0.20/0.55  % SZS output end Refutation
% 0.20/0.55  ------------ end of proof -------------
% 0.20/0.55  
% 0.20/0.55  
% 0.20/0.55  Search stopped by max_proofs option.
% 0.20/0.55  
% 0.20/0.55  
% 0.20/0.55  Search stopped by max_proofs option.
% 0.20/0.55  
% 0.20/0.55  ============ end of search ============
% 0.20/0.55  
% 0.20/0.55  ----------- soft-scott stats ----------
% 0.20/0.55  
% 0.20/0.55  true clauses given           2      (25.0%)
% 0.20/0.55  false clauses given          6
% 0.20/0.55  
% 0.20/0.55        FALSE     TRUE
% 0.20/0.55     7  0         1
% 0.20/0.55     8  0         3
% 0.20/0.55    10  0         3
% 0.20/0.55    11  3         0
% 0.20/0.55    12  1         4
% 0.20/0.55    13  1         3
% 0.20/0.55    14  1         1
% 0.20/0.55    15  2         8
% 0.20/0.55    16  1         1
% 0.20/0.55    18  0         3
% 0.20/0.55    19  1         3
% 0.20/0.55    20  0         4
% 0.20/0.55    21  0         2
% 0.20/0.55    22  0         6
% 0.20/0.55    23  0         1
% 0.20/0.55    25  0         1
% 0.20/0.55    27  0         2
% 0.20/0.55    30  0         1
% 0.20/0.55  tot:  10        47      (82.5% true)
% 0.20/0.55  
% 0.20/0.55  
% 0.20/0.55  Model 5 [ 2 0 63 ] (0.00 seconds, 250000 Inserts)
% 0.20/0.55  
% 0.20/0.55  That finishes the proof of the theorem.
% 0.20/0.55  
% 0.20/0.55  Process 2328 finished Sun Jul 10 12:44:58 2022
%------------------------------------------------------------------------------