TSTP Solution File: SET194+3 by SOS---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SOS---2.0
% Problem  : SET194+3 : TPTP v8.1.0. Released v2.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : sos-script %s

% Computer : n005.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 05:16:42 EDT 2022

% Result   : Theorem 0.20s 0.53s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SET194+3 : TPTP v8.1.0. Released v2.2.0.
% 0.07/0.13  % Command  : sos-script %s
% 0.12/0.34  % Computer : n005.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 600
% 0.12/0.34  % DateTime : Sun Jul 10 13:22:37 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.12/0.35  ----- Otter 3.2, August 2001 -----
% 0.12/0.35  The process was started by sandbox2 on n005.cluster.edu,
% 0.12/0.35  Sun Jul 10 13:22:37 2022
% 0.12/0.35  The command was "./sos".  The process ID is 29901.
% 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  formula_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).
% 0.12/0.35     dependent: set(para_from_vars).
% 0.12/0.35     dependent: set(eq_units_both_ways).
% 0.12/0.35     dependent: set(dynamic_demod_all).
% 0.12/0.35     dependent: set(dynamic_demod).
% 0.12/0.35     dependent: set(order_eq).
% 0.12/0.35     dependent: set(back_demod).
% 0.12/0.35     dependent: set(lrpo).
% 0.12/0.35     dependent: set(hyper_res).
% 0.12/0.35     dependent: set(unit_deletion).
% 0.12/0.35     dependent: set(factor).
% 0.12/0.35  
% 0.12/0.35  ------------> process usable:
% 0.12/0.35  
% 0.12/0.35  ------------> process sos:
% 0.12/0.35    Following clause subsumed by 13 during input processing: 0 [copy,13,flip.1] {-} union(A,B)=union(B,A).
% 0.12/0.35    Following clause subsumed by 16 during input processing: 0 [copy,16,flip.1] {-} A=A.
% 0.12/0.35  16 back subsumes 11.
% 0.12/0.35  
% 0.12/0.35  ======= end of input processing =======
% 0.20/0.40  
% 0.20/0.40  Model 1 (0.00 seconds, 0 Inserts)
% 0.20/0.40  
% 0.20/0.40  Stopped by limit on number of solutions
% 0.20/0.40  
% 0.20/0.40  
% 0.20/0.40  -------------- Softie stats --------------
% 0.20/0.40  
% 0.20/0.40  UPDATE_STOP: 300
% 0.20/0.40  SFINDER_TIME_LIMIT: 2
% 0.20/0.40  SHORT_CLAUSE_CUTOFF: 4
% 0.20/0.40  number of clauses in intial UL: 10
% 0.20/0.40  number of clauses initially in problem: 15
% 0.20/0.40  percentage of clauses intially in UL: 66
% 0.20/0.40  percentage of distinct symbols occuring in initial UL: 100
% 0.20/0.40  percent of all initial clauses that are short: 100
% 0.20/0.40  absolute distinct symbol count: 8
% 0.20/0.40     distinct predicate count: 3
% 0.20/0.40     distinct function count: 3
% 0.20/0.40     distinct constant count: 2
% 0.20/0.40  
% 0.20/0.40  ---------- no more Softie stats ----------
% 0.20/0.40  
% 0.20/0.40  
% 0.20/0.40  
% 0.20/0.40  =========== start of search ===========
% 0.20/0.53  
% 0.20/0.53  -------- PROOF -------- 
% 0.20/0.53  % SZS status Theorem
% 0.20/0.53  % SZS output start Refutation
% 0.20/0.53  
% 0.20/0.53  Stopped by limit on insertions
% 0.20/0.53  
% 0.20/0.53  Model 2 [ 1 0 156 ] (0.00 seconds, 250000 Inserts)
% 0.20/0.53  
% 0.20/0.53  ----> UNIT CONFLICT at   0.15 sec ----> 51 [binary,50.1,9.1] {+} $F.
% 0.20/0.53  
% 0.20/0.53  Length of proof is 3.  Level of proof is 3.
% 0.20/0.53  
% 0.20/0.53  ---------------- PROOF ----------------
% 0.20/0.53  % SZS status Theorem
% 0.20/0.53  % SZS output start Refutation
% 0.20/0.53  
% 0.20/0.53  2 [] {+} member(A,union(B,C))| -member(A,B).
% 0.20/0.53  5 [] {+} subset(A,B)| -member($f1(A,B),B).
% 0.20/0.53  9 [] {+} -subset($c2,union($c2,$c1)).
% 0.20/0.53  12 [] {-} subset(A,B)|member($f1(A,B),A).
% 0.20/0.53  17 [hyper,12,9] {-} member($f1($c2,union($c2,$c1)),$c2).
% 0.20/0.53  21 [hyper,17,2] {-} member($f1($c2,union($c2,$c1)),union($c2,A)).
% 0.20/0.53  50 [hyper,21,5] {-} subset($c2,union($c2,$c1)).
% 0.20/0.53  51 [binary,50.1,9.1] {+} $F.
% 0.20/0.53  
% 0.20/0.53  % SZS output end Refutation
% 0.20/0.53  ------------ end of proof -------------
% 0.20/0.53  
% 0.20/0.53  
% 0.20/0.53  Search stopped by max_proofs option.
% 0.20/0.53  
% 0.20/0.53  
% 0.20/0.53  Search stopped by max_proofs option.
% 0.20/0.53  
% 0.20/0.53  ============ end of search ============
% 0.20/0.53  
% 0.20/0.53  ----------- soft-scott stats ----------
% 0.20/0.53  
% 0.20/0.53  true clauses given           2      (25.0%)
% 0.20/0.53  false clauses given          6
% 0.20/0.53  
% 0.20/0.53        FALSE     TRUE
% 0.20/0.53     5  0         1
% 0.20/0.53     9  2         0
% 0.20/0.53    11  2         0
% 0.20/0.53    12  2         0
% 0.20/0.53    13  1         0
% 0.20/0.53    16  1         0
% 0.20/0.53    17  2         6
% 0.20/0.53    19  1         3
% 0.20/0.53    21  2         1
% 0.20/0.53    22  0         1
% 0.20/0.53    23  2         0
% 0.20/0.53    25  0         2
% 0.20/0.53    27  0         1
% 0.20/0.53  tot:  15        15      (50.0% true)
% 0.20/0.53  
% 0.20/0.53  
% 0.20/0.53  Model 2 [ 1 0 156 ] (0.00 seconds, 250000 Inserts)
% 0.20/0.53  
% 0.20/0.53  That finishes the proof of the theorem.
% 0.20/0.53  
% 0.20/0.53  Process 29901 finished Sun Jul 10 13:22:37 2022
%------------------------------------------------------------------------------