TSTP Solution File: CAT012-4 by SOS---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SOS---2.0
% Problem  : CAT012-4 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : sos-script %s

% Computer : n018.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 : Fri Jul 15 00:07:19 EDT 2022

% Result   : Unsatisfiable 0.19s 0.46s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : CAT012-4 : TPTP v8.1.0. Released v1.0.0.
% 0.06/0.13  % Command  : sos-script %s
% 0.12/0.33  % Computer : n018.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 600
% 0.12/0.34  % DateTime : Sun May 29 20:34:26 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 n018.cluster.edu,
% 0.12/0.35  Sun May 29 20:34:26 2022
% 0.12/0.35  The command was "./sos".  The process ID is 15442.
% 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  list(usable).
% 0.12/0.35  
% 0.12/0.35  SCAN INPUT: prop=0, horn=1, equality=1, symmetry=0, max_lits=3.
% 0.12/0.35  
% 0.12/0.35  This is a Horn set with equality.  The strategy will be
% 0.12/0.35  Knuth-Bendix and hyper_res, with positive clauses in
% 0.12/0.35  sos and nonpositive 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: clear(order_hyper).
% 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 18 during input processing: 0 [copy,18,flip.1] {-} A=A.
% 0.12/0.35  
% 0.12/0.35  ======= end of input processing =======
% 0.12/0.37  
% 0.12/0.37  Model 1 (0.00 seconds, 0 Inserts)
% 0.12/0.37  
% 0.12/0.37  Stopped by limit on number of solutions
% 0.12/0.37  
% 0.12/0.37  
% 0.12/0.37  -------------- Softie stats --------------
% 0.12/0.37  
% 0.12/0.37  UPDATE_STOP: 300
% 0.12/0.37  SFINDER_TIME_LIMIT: 2
% 0.12/0.37  SHORT_CLAUSE_CUTOFF: 4
% 0.12/0.37  number of clauses in intial UL: 9
% 0.12/0.37  number of clauses initially in problem: 17
% 0.12/0.37  percentage of clauses intially in UL: 52
% 0.12/0.37  percentage of distinct symbols occuring in initial UL: 100
% 0.12/0.37  percent of all initial clauses that are short: 100
% 0.12/0.37  absolute distinct symbol count: 7
% 0.12/0.37     distinct predicate count: 3
% 0.12/0.37     distinct function count: 3
% 0.12/0.37     distinct constant count: 1
% 0.12/0.37  
% 0.12/0.37  ---------- no more Softie stats ----------
% 0.12/0.37  
% 0.12/0.37  
% 0.12/0.37  
% 0.12/0.37  =========== start of search ===========
% 0.19/0.46  
% 0.19/0.46  -------- PROOF -------- 
% 0.19/0.46  % SZS status Unsatisfiable
% 0.19/0.46  % SZS output start Refutation
% 0.19/0.46  
% 0.19/0.46  Model 2 (0.00 seconds, 0 Inserts)
% 0.19/0.46  
% 0.19/0.46  Stopped by limit on number of solutions
% 0.19/0.46  
% 0.19/0.46  Model 3 [ 1 0 730 ] (0.00 seconds, 4428 Inserts)
% 0.19/0.46  
% 0.19/0.46  Stopped by limit on insertions
% 0.19/0.46  
% 0.19/0.46  Model 4 [ 1 0 137 ] (0.00 seconds, 250000 Inserts)
% 0.19/0.46  
% 0.19/0.46  Model 5 [ 2 1 651 ] (0.00 seconds, 15691 Inserts)
% 0.19/0.46  
% 0.19/0.46  ----> UNIT CONFLICT at   0.08 sec ----> 53 [binary,51.1,9.1] {-} $F.
% 0.19/0.46  
% 0.19/0.46  Length of proof is 3.  Level of proof is 2.
% 0.19/0.46  
% 0.19/0.46  ---------------- PROOF ----------------
% 0.19/0.46  % SZS status Unsatisfiable
% 0.19/0.46  % SZS output start Refutation
% 0.19/0.46  
% 0.19/0.46  4 [] {+} -there_exists(domain(A))|there_exists(A).
% 0.19/0.46  7 [] {+} -there_exists(compose(A,B))|domain(A)=codomain(B).
% 0.19/0.46  9 [] {+} codomain(domain(a))!=domain(a).
% 0.19/0.46  13 [] {+} compose(A,domain(A))=A.
% 0.19/0.46  17 [] {+} there_exists(domain(a)).
% 0.19/0.46  35 [para_from,13.1.1,7.1.1,flip.2] {+} -there_exists(A)|codomain(domain(A))=domain(A).
% 0.19/0.46  37 [hyper,17,4] {+} there_exists(a).
% 0.19/0.46  51 [hyper,37,35] {-} codomain(domain(a))=domain(a).
% 0.19/0.46  53 [binary,51.1,9.1] {-} $F.
% 0.19/0.46  
% 0.19/0.46  % SZS output end Refutation
% 0.19/0.46  ------------ end of proof -------------
% 0.19/0.46  
% 0.19/0.46  
% 0.19/0.46  Search stopped by max_proofs option.
% 0.19/0.46  
% 0.19/0.46  
% 0.19/0.46  Search stopped by max_proofs option.
% 0.19/0.46  
% 0.19/0.46  ============ end of search ============
% 0.19/0.46  
% 0.19/0.46  ----------- soft-scott stats ----------
% 0.19/0.46  
% 0.19/0.46  true clauses given           0      (0.0%)
% 0.19/0.46  false clauses given          5
% 0.19/0.46  
% 0.19/0.46        FALSE     TRUE
% 0.19/0.46     3  0         1
% 0.19/0.46     5  0         1
% 0.19/0.46     6  1         3
% 0.19/0.46     7  1         1
% 0.19/0.46     8  0         3
% 0.19/0.46     9  1         1
% 0.19/0.46    10  1         1
% 0.19/0.46    11  2         1
% 0.19/0.46    12  2         1
% 0.19/0.46    13  1         0
% 0.19/0.46    14  2         0
% 0.19/0.46    15  1         0
% 0.19/0.46    18  2         0
% 0.19/0.46  tot:  14        13      (48.1% true)
% 0.19/0.46  
% 0.19/0.46  
% 0.19/0.46  Model 5 [ 2 1 651 ] (0.00 seconds, 15691 Inserts)
% 0.19/0.46  
% 0.19/0.46  That finishes the proof of the theorem.
% 0.19/0.46  
% 0.19/0.46  Process 15442 finished Sun May 29 20:34:26 2022
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