TSTP Solution File: SET654+3 by SOS---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SOS---2.0
% Problem  : SET654+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 05:19:50 EDT 2022

% Result   : Theorem 0.91s 1.17s
% Output   : Refutation 0.91s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11  % Problem  : SET654+3 : TPTP v8.1.0. Released v2.2.0.
% 0.11/0.12  % Command  : sos-script %s
% 0.11/0.32  % Computer : n029.cluster.edu
% 0.11/0.32  % Model    : x86_64 x86_64
% 0.11/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32  % Memory   : 8042.1875MB
% 0.11/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32  % CPULimit : 300
% 0.18/0.32  % WCLimit  : 600
% 0.18/0.32  % DateTime : Sat Jul  9 16:12:00 EDT 2022
% 0.18/0.33  % CPUTime  : 
% 0.18/0.35  ----- Otter 3.2, August 2001 -----
% 0.18/0.35  The process was started by sandbox on n029.cluster.edu,
% 0.18/0.35  Sat Jul  9 16:12:00 2022
% 0.18/0.35  The command was "./sos".  The process ID is 16310.
% 0.18/0.35  
% 0.18/0.35  set(prolog_style_variables).
% 0.18/0.35  set(auto).
% 0.18/0.35     dependent: set(auto1).
% 0.18/0.35     dependent: set(process_input).
% 0.18/0.35     dependent: clear(print_kept).
% 0.18/0.35     dependent: clear(print_new_demod).
% 0.18/0.35     dependent: clear(print_back_demod).
% 0.18/0.35     dependent: clear(print_back_sub).
% 0.18/0.35     dependent: set(control_memory).
% 0.18/0.35     dependent: assign(max_mem, 12000).
% 0.18/0.35     dependent: assign(pick_given_ratio, 4).
% 0.18/0.35     dependent: assign(stats_level, 1).
% 0.18/0.35     dependent: assign(pick_semantic_ratio, 3).
% 0.18/0.35     dependent: assign(sos_limit, 5000).
% 0.18/0.35     dependent: assign(max_weight, 60).
% 0.18/0.35  clear(print_given).
% 0.18/0.35  
% 0.18/0.35  formula_list(usable).
% 0.18/0.35  
% 0.18/0.35  SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=6.
% 0.18/0.35  
% 0.18/0.35  This ia a non-Horn set with equality.  The strategy will be
% 0.18/0.35  Knuth-Bendix, ordered hyper_res, ur_res, factoring, and
% 0.18/0.35  unit deletion, with positive clauses in sos and nonpositive
% 0.18/0.35  clauses in usable.
% 0.18/0.35  
% 0.18/0.35     dependent: set(knuth_bendix).
% 0.18/0.35     dependent: set(para_from).
% 0.18/0.35     dependent: set(para_into).
% 0.18/0.35     dependent: clear(para_from_right).
% 0.18/0.35     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 72 during input processing: 0 [] {-} ilf_type($c4,set_type).
% 0.18/0.35    Following clause subsumed by 72 during input processing: 0 [] {-} ilf_type($c3,set_type).
% 0.18/0.35    Following clause subsumed by 72 during input processing: 0 [] {-} ilf_type($c2,set_type).
% 0.18/0.35  72 back subsumes 70.
% 0.18/0.35  72 back subsumes 64.
% 0.18/0.35  72 back subsumes 63.
% 0.18/0.35  72 back subsumes 57.
% 0.18/0.35  72 back subsumes 51.
% 0.18/0.35  72 back subsumes 40.
% 0.18/0.35  72 back subsumes 35.
% 0.18/0.35  72 back subsumes 32.
% 0.18/0.35  72 back subsumes 31.
% 0.18/0.35  72 back subsumes 29.
% 0.18/0.35  72 back subsumes 24.
% 0.18/0.35  72 back subsumes 20.
% 0.18/0.35  72 back subsumes 14.
% 0.18/0.35  72 back subsumes 13.
% 0.18/0.35  72 back subsumes 12.
% 0.18/0.35  72 back subsumes 9.
% 0.18/0.35    Following clause subsumed by 75 during input processing: 0 [copy,75,flip.1] {-} A=A.
% 0.18/0.35  
% 0.18/0.35  ======= end of input processing =======
% 0.53/0.74  
% 0.53/0.74  Model 1 (0.00 seconds, 0 Inserts)
% 0.53/0.74  
% 0.53/0.74  Stopped by limit on number of solutions
% 0.53/0.74  
% 0.53/0.74  
% 0.53/0.74  -------------- Softie stats --------------
% 0.53/0.74  
% 0.53/0.74  UPDATE_STOP: 300
% 0.53/0.74  SFINDER_TIME_LIMIT: 2
% 0.53/0.74  SHORT_CLAUSE_CUTOFF: 4
% 0.53/0.74  number of clauses in intial UL: 54
% 0.53/0.74  number of clauses initially in problem: 58
% 0.53/0.74  percentage of clauses intially in UL: 93
% 0.53/0.74  percentage of distinct symbols occuring in initial UL: 96
% 0.53/0.74  percent of all initial clauses that are short: 98
% 0.53/0.74  absolute distinct symbol count: 28
% 0.53/0.74     distinct predicate count: 6
% 0.53/0.74     distinct function count: 17
% 0.53/0.74     distinct constant count: 5
% 0.53/0.74  
% 0.53/0.74  ---------- no more Softie stats ----------
% 0.53/0.74  
% 0.53/0.74  
% 0.53/0.74  
% 0.53/0.74  Stopped by limit on insertions
% 0.53/0.74  
% 0.53/0.74  =========== start of search ===========
% 0.91/1.17  
% 0.91/1.17  -------- PROOF -------- 
% 0.91/1.17  % SZS status Theorem
% 0.91/1.17  % SZS output start Refutation
% 0.91/1.17  
% 0.91/1.17  Stopped by limit on insertions
% 0.91/1.17  
% 0.91/1.17  Stopped by limit on insertions
% 0.91/1.17  
% 0.91/1.17  Model 2 [ 3 0 191 ] (0.00 seconds, 250000 Inserts)
% 0.91/1.17  
% 0.91/1.17  Stopped by limit on insertions
% 0.91/1.17  
% 0.91/1.17  Model 3 [ 3 1 172 ] (0.00 seconds, 250000 Inserts)
% 0.91/1.17  
% 0.91/1.17  Stopped by limit on insertions
% 0.91/1.17  
% 0.91/1.17  Model 4 [ 3 0 600 ] (0.00 seconds, 250000 Inserts)
% 0.91/1.17  
% 0.91/1.17  ----> UNIT CONFLICT at   0.80 sec ----> 97 [binary,96.1,41.1] {+} $F.
% 0.91/1.17  
% 0.91/1.17  Length of proof is 3.  Level of proof is 3.
% 0.91/1.17  
% 0.91/1.17  ---------------- PROOF ----------------
% 0.91/1.17  % SZS status Theorem
% 0.91/1.17  % SZS output start Refutation
% 0.91/1.17  
% 0.91/1.17  1 [] {+} -ilf_type(A,set_type)| -ilf_type(B,set_type)| -ilf_type(C,set_type)| -subset(A,B)| -subset(B,C)|subset(A,C).
% 0.91/1.17  3 [] {+} -ilf_type(A,set_type)| -ilf_type(B,set_type)| -ilf_type(C,relation_type(A,B))|subset(range_of(C),B).
% 0.91/1.17  4 [] {+} -ilf_type(A,set_type)| -ilf_type(B,set_type)| -ilf_type(C,set_type)| -ilf_type(D,relation_type(C,A))| -subset(range_of(D),B)|ilf_type(D,relation_type(C,B)).
% 0.91/1.17  41 [] {+} -ilf_type($c1,relation_type($c2,$c3)).
% 0.91/1.17  72 [] {-} ilf_type(A,set_type).
% 0.91/1.17  73 [] {-} ilf_type($c1,relation_type($c2,$c4)).
% 0.91/1.17  74 [] {+} subset($c4,$c3).
% 0.91/1.17  88 [hyper,73,3,72,72] {+} subset(range_of($c1),$c4).
% 0.91/1.17  90 [hyper,74,1,72,72,72,88] {+} subset(range_of($c1),$c3).
% 0.91/1.17  96 [hyper,90,4,72,72,72,73] {-} ilf_type($c1,relation_type($c2,$c3)).
% 0.91/1.17  97 [binary,96.1,41.1] {+} $F.
% 0.91/1.17  
% 0.91/1.17  % SZS output end Refutation
% 0.91/1.17  ------------ end of proof -------------
% 0.91/1.17  
% 0.91/1.17  
% 0.91/1.17  Search stopped by max_proofs option.
% 0.91/1.17  
% 0.91/1.17  
% 0.91/1.17  Search stopped by max_proofs option.
% 0.91/1.17  
% 0.91/1.17  ============ end of search ============
% 0.91/1.17  
% 0.91/1.17  ----------- soft-scott stats ----------
% 0.91/1.17  
% 0.91/1.17  true clauses given           3      (33.3%)
% 0.91/1.17  false clauses given          6
% 0.91/1.17  
% 0.91/1.17        FALSE     TRUE
% 0.91/1.17     5  1         0
% 0.91/1.17     6  3         2
% 0.91/1.17     7  1         1
% 0.91/1.17     8  2         0
% 0.91/1.17     9  1         0
% 0.91/1.17  tot:  8         3      (27.3% true)
% 0.91/1.17  
% 0.91/1.17  
% 0.91/1.17  Model 4 [ 3 0 600 ] (0.00 seconds, 250000 Inserts)
% 0.91/1.17  
% 0.91/1.17  That finishes the proof of the theorem.
% 0.91/1.17  
% 0.91/1.17  Process 16310 finished Sat Jul  9 16:12:01 2022
%------------------------------------------------------------------------------