TSTP Solution File: SET642+3 by SOS---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SOS---2.0
% Problem  : SET642+3 : TPTP v8.1.0. Released v2.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : sos-script %s

% Computer : n010.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 05:19:45 EDT 2022

% Result   : Theorem 0.38s 0.57s
% Output   : Refutation 0.38s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SET642+3 : TPTP v8.1.0. Released v2.2.0.
% 0.03/0.13  % Command  : sos-script %s
% 0.13/0.34  % Computer : n010.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 09:02:15 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 n010.cluster.edu,
% 0.13/0.36  Sun Jul 10 09:02:15 2022
% 0.13/0.36  The command was "./sos".  The process ID is 1453.
% 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=6.
% 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 72 during input processing: 0 [] {-} ilf_type($c4,set_type).
% 0.13/0.36    Following clause subsumed by 72 during input processing: 0 [] {-} ilf_type($c3,set_type).
% 0.13/0.36    Following clause subsumed by 72 during input processing: 0 [] {-} ilf_type($c2,set_type).
% 0.13/0.36  72 back subsumes 68.
% 0.13/0.36  72 back subsumes 62.
% 0.13/0.36  72 back subsumes 61.
% 0.13/0.36  72 back subsumes 55.
% 0.13/0.36  72 back subsumes 49.
% 0.13/0.36  72 back subsumes 36.
% 0.13/0.36  72 back subsumes 31.
% 0.13/0.36  72 back subsumes 28.
% 0.13/0.36  72 back subsumes 27.
% 0.13/0.36  72 back subsumes 25.
% 0.13/0.36  72 back subsumes 20.
% 0.13/0.36  72 back subsumes 16.
% 0.13/0.36  72 back subsumes 10.
% 0.13/0.36  72 back subsumes 7.
% 0.13/0.36    Following clause subsumed by 75 during input processing: 0 [copy,75,flip.1] {-} A=A.
% 0.13/0.36  
% 0.13/0.36  ======= end of input processing =======
% 0.19/0.43  
% 0.19/0.43  Model 1 (0.00 seconds, 0 Inserts)
% 0.19/0.43  
% 0.19/0.43  Stopped by limit on number of solutions
% 0.19/0.43  
% 0.19/0.43  
% 0.19/0.43  -------------- Softie stats --------------
% 0.19/0.43  
% 0.19/0.43  UPDATE_STOP: 300
% 0.19/0.43  SFINDER_TIME_LIMIT: 2
% 0.19/0.43  SHORT_CLAUSE_CUTOFF: 4
% 0.19/0.43  number of clauses in intial UL: 56
% 0.19/0.43  number of clauses initially in problem: 60
% 0.19/0.43  percentage of clauses intially in UL: 93
% 0.19/0.43  percentage of distinct symbols occuring in initial UL: 96
% 0.19/0.43  percent of all initial clauses that are short: 98
% 0.19/0.43  absolute distinct symbol count: 26
% 0.19/0.43     distinct predicate count: 6
% 0.19/0.43     distinct function count: 15
% 0.19/0.43     distinct constant count: 5
% 0.19/0.43  
% 0.19/0.43  ---------- no more Softie stats ----------
% 0.19/0.43  
% 0.19/0.43  
% 0.19/0.43  
% 0.19/0.43  Model 2 (0.00 seconds, 0 Inserts)
% 0.19/0.43  
% 0.19/0.43  Stopped by limit on number of solutions
% 0.19/0.43  
% 0.19/0.43  =========== start of search ===========
% 0.38/0.57  
% 0.38/0.57  -------- PROOF -------- 
% 0.38/0.57  % SZS status Theorem
% 0.38/0.57  % SZS output start Refutation
% 0.38/0.57  
% 0.38/0.57  Stopped by limit on insertions
% 0.38/0.57  
% 0.38/0.57  ----> UNIT CONFLICT at   0.19 sec ----> 92 [binary,91.1,37.1] {-} $F.
% 0.38/0.57  
% 0.38/0.57  Length of proof is 2.  Level of proof is 2.
% 0.38/0.57  
% 0.38/0.57  ---------------- PROOF ----------------
% 0.38/0.57  % SZS status Theorem
% 0.38/0.57  % SZS output start Refutation
% 0.38/0.57  
% 0.38/0.57  1 [] {+} -ilf_type(A,set_type)| -ilf_type(B,set_type)| -ilf_type(C,set_type)| -ilf_type(D,relation_type(B,C))| -subset(A,D)|subset(A,cross_product(B,C)).
% 0.38/0.57  2 [] {+} -ilf_type(A,set_type)| -ilf_type(B,set_type)| -ilf_type(C,set_type)| -subset(A,cross_product(B,C))|ilf_type(A,relation_type(B,C)).
% 0.38/0.57  37 [] {+} -ilf_type($c4,relation_type($c3,$c2)).
% 0.38/0.57  72 [] {+} ilf_type(A,set_type).
% 0.38/0.57  73 [] {+} ilf_type($c1,relation_type($c3,$c2)).
% 0.38/0.57  74 [] {-} subset($c4,$c1).
% 0.38/0.57  90 [hyper,73,1,72,72,72,74] {-} subset($c4,cross_product($c3,$c2)).
% 0.38/0.57  91 [hyper,90,2,72,72,72] {-} ilf_type($c4,relation_type($c3,$c2)).
% 0.38/0.57  92 [binary,91.1,37.1] {-} $F.
% 0.38/0.57  
% 0.38/0.57  % SZS output end Refutation
% 0.38/0.57  ------------ end of proof -------------
% 0.38/0.57  
% 0.38/0.57  
% 0.38/0.57  Search stopped by max_proofs option.
% 0.38/0.57  
% 0.38/0.57  
% 0.38/0.57  Search stopped by max_proofs option.
% 0.38/0.57  
% 0.38/0.57  ============ end of search ============
% 0.38/0.57  
% 0.38/0.57  ----------- soft-scott stats ----------
% 0.38/0.57  
% 0.38/0.57  true clauses given           4      (57.1%)
% 0.38/0.57  false clauses given          3
% 0.38/0.57  
% 0.38/0.57        FALSE     TRUE
% 0.38/0.57     5  0         2
% 0.38/0.57     6  0         2
% 0.38/0.57     7  0         3
% 0.38/0.57     8  0         1
% 0.38/0.57     9  0         1
% 0.38/0.57  tot:  0         9      (100.0% true)
% 0.38/0.57  
% 0.38/0.57  
% 0.38/0.57  Model 2 (0.00 seconds, 0 Inserts)
% 0.38/0.57  
% 0.38/0.57  That finishes the proof of the theorem.
% 0.38/0.57  
% 0.38/0.57  Process 1453 finished Sun Jul 10 09:02:15 2022
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