TSTP Solution File: SET146+3 by SOS---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SOS---2.0
% Problem  : SET146+3 : TPTP v8.1.0. Released v2.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : sos-script %s

% Computer : n029.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 05:16:16 EDT 2022

% Result   : Theorem 0.20s 0.48s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : SET146+3 : TPTP v8.1.0. Released v2.2.0.
% 0.07/0.14  % Command  : sos-script %s
% 0.13/0.35  % Computer : n029.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 : Sun Jul 10 00:55:31 EDT 2022
% 0.13/0.36  % CPUTime  : 
% 0.13/0.37  ----- Otter 3.2, August 2001 -----
% 0.13/0.37  The process was started by sandbox2 on n029.cluster.edu,
% 0.13/0.37  Sun Jul 10 00:55:31 2022
% 0.13/0.37  The command was "./sos".  The process ID is 29360.
% 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).
% 0.13/0.37     dependent: clear(print_back_sub).
% 0.13/0.37     dependent: set(control_memory).
% 0.13/0.37     dependent: assign(max_mem, 12000).
% 0.13/0.37     dependent: assign(pick_given_ratio, 4).
% 0.13/0.37     dependent: assign(stats_level, 1).
% 0.13/0.37     dependent: assign(pick_semantic_ratio, 3).
% 0.13/0.37     dependent: assign(sos_limit, 5000).
% 0.13/0.37     dependent: assign(max_weight, 60).
% 0.13/0.37  clear(print_given).
% 0.13/0.37  
% 0.13/0.37  formula_list(usable).
% 0.13/0.37  
% 0.13/0.37  SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=3.
% 0.13/0.37  
% 0.13/0.37  This ia a non-Horn set with equality.  The strategy will be
% 0.13/0.37  Knuth-Bendix, ordered hyper_res, ur_res, factoring, and
% 0.13/0.37  unit deletion, with positive clauses in sos and nonpositive
% 0.13/0.37  clauses in usable.
% 0.13/0.37  
% 0.13/0.37     dependent: set(knuth_bendix).
% 0.13/0.37     dependent: set(para_from).
% 0.13/0.37     dependent: set(para_into).
% 0.13/0.37     dependent: clear(para_from_right).
% 0.13/0.37     dependent: clear(para_into_right).
% 0.13/0.37     dependent: set(para_from_vars).
% 0.13/0.37     dependent: set(eq_units_both_ways).
% 0.13/0.37     dependent: set(dynamic_demod_all).
% 0.13/0.37     dependent: set(dynamic_demod).
% 0.13/0.37     dependent: set(order_eq).
% 0.13/0.37     dependent: set(back_demod).
% 0.13/0.37     dependent: set(lrpo).
% 0.13/0.37     dependent: set(hyper_res).
% 0.13/0.37     dependent: set(unit_deletion).
% 0.13/0.37     dependent: set(factor).
% 0.13/0.37  
% 0.13/0.37  ------------> process usable:
% 0.13/0.37  
% 0.13/0.37  ------------> process sos:
% 0.13/0.37    Following clause subsumed by 18 during input processing: 0 [copy,18,flip.1] {-} intersection(A,B)=intersection(B,A).
% 0.13/0.37    Following clause subsumed by 23 during input processing: 0 [copy,23,flip.1] {-} A=A.
% 0.13/0.37  23 back subsumes 17.
% 0.13/0.37  23 back subsumes 16.
% 0.13/0.37  
% 0.13/0.37  ======= end of input processing =======
% 0.20/0.41  
% 0.20/0.41  Model 1 (0.00 seconds, 0 Inserts)
% 0.20/0.41  
% 0.20/0.41  Stopped by limit on number of solutions
% 0.20/0.41  
% 0.20/0.41  
% 0.20/0.41  -------------- Softie stats --------------
% 0.20/0.41  
% 0.20/0.41  UPDATE_STOP: 300
% 0.20/0.41  SFINDER_TIME_LIMIT: 2
% 0.20/0.41  SHORT_CLAUSE_CUTOFF: 4
% 0.20/0.41  number of clauses in intial UL: 15
% 0.20/0.41  number of clauses initially in problem: 21
% 0.20/0.41  percentage of clauses intially in UL: 71
% 0.20/0.41  percentage of distinct symbols occuring in initial UL: 90
% 0.20/0.41  percent of all initial clauses that are short: 100
% 0.20/0.41  absolute distinct symbol count: 10
% 0.20/0.41     distinct predicate count: 4
% 0.20/0.41     distinct function count: 4
% 0.20/0.41     distinct constant count: 2
% 0.20/0.41  
% 0.20/0.41  ---------- no more Softie stats ----------
% 0.20/0.41  
% 0.20/0.41  
% 0.20/0.41  
% 0.20/0.41  Model 2 (0.00 seconds, 0 Inserts)
% 0.20/0.41  
% 0.20/0.41  Stopped by limit on number of solutions
% 0.20/0.41  
% 0.20/0.41  =========== start of search ===========
% 0.20/0.48  
% 0.20/0.48  -------- PROOF -------- 
% 0.20/0.48  % SZS status Theorem
% 0.20/0.48  % SZS output start Refutation
% 0.20/0.48  
% 0.20/0.48  Model 3 (0.00 seconds, 0 Inserts)
% 0.20/0.48  
% 0.20/0.48  Stopped by limit on number of solutions
% 0.20/0.48  
% 0.20/0.48  ----> UNIT CONFLICT at   0.08 sec ----> 184 [binary,183.1,4.1] {+} $F.
% 0.20/0.48  
% 0.20/0.48  Length of proof is 5.  Level of proof is 4.
% 0.20/0.48  
% 0.20/0.48  ---------------- PROOF ----------------
% 0.20/0.48  % SZS status Theorem
% 0.20/0.48  % SZS output start Refutation
% 0.20/0.48  
% 0.20/0.48  1 [] {+} -member(A,intersection(B,C))|member(A,B).
% 0.20/0.48  4 [] {+} -member(A,empty_set).
% 0.20/0.48  10 [] {+} -empty(A)| -member(B,A).
% 0.20/0.48  14 [] {+} intersection($c1,empty_set)!=empty_set.
% 0.20/0.48  18 [] {+} intersection(A,B)=intersection(B,A).
% 0.20/0.48  21 [] {+} empty(A)|member($f2(A),A).
% 0.20/0.48  22 [] {-} A=B|member($f3(A,B),A)|member($f3(A,B),B).
% 0.20/0.48  23 [] {+} A=A.
% 0.20/0.48  27 [para_from,18.1.1,14.1.1] {+} intersection(empty_set,$c1)!=empty_set.
% 0.20/0.48  44 [hyper,22,4] {-} A=empty_set|member($f3(A,empty_set),A).
% 0.20/0.48  114 [hyper,44,10,21] {-} A=empty_set|member($f2(A),A).
% 0.20/0.48  157 [para_from,114.1.1,27.1.1,unit_del,23] {-} member($f2(intersection(empty_set,$c1)),intersection(empty_set,$c1)).
% 0.20/0.48  183 [hyper,157,1] {-} member($f2(intersection(empty_set,$c1)),empty_set).
% 0.20/0.48  184 [binary,183.1,4.1] {+} $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           5      (35.7%)
% 0.20/0.48  false clauses given          9
% 0.20/0.48  
% 0.20/0.48        FALSE     TRUE
% 0.20/0.48     8  1         1
% 0.20/0.48     9  4         3
% 0.20/0.48    10  2         3
% 0.20/0.48    11  3         4
% 0.20/0.48    12  20        1
% 0.20/0.48    13  15        3
% 0.20/0.48    14  14        4
% 0.20/0.48    15  6         7
% 0.20/0.48    16  3         1
% 0.20/0.48    18  3         1
% 0.20/0.48    19  11        6
% 0.20/0.48    20  2         2
% 0.20/0.48    21  7         3
% 0.20/0.48    22  5         5
% 0.20/0.48    25  1         0
% 0.20/0.48    27  2         4
% 0.20/0.48  tot:  99        48      (32.7% true)
% 0.20/0.48  
% 0.20/0.48  
% 0.20/0.48  Model 3 (0.00 seconds, 0 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 29360 finished Sun Jul 10 00:55:31 2022
%------------------------------------------------------------------------------