TSTP Solution File: HEN003-1 by SOS---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SOS---2.0
% Problem  : HEN003-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : sos-script %s

% Computer : n013.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 : Sat Jul 16 13:02:40 EDT 2022

% Result   : Unsatisfiable 0.20s 0.56s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem  : HEN003-1 : TPTP v8.1.0. Released v1.0.0.
% 0.12/0.13  % Command  : sos-script %s
% 0.14/0.34  % Computer : n013.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % WCLimit  : 600
% 0.14/0.34  % DateTime : Fri Jul  1 13:46:29 EDT 2022
% 0.14/0.35  % CPUTime  : 
% 0.14/0.36  ----- Otter 3.2, August 2001 -----
% 0.14/0.36  The process was started by sandbox on n013.cluster.edu,
% 0.14/0.36  Fri Jul  1 13:46:29 2022
% 0.14/0.36  The command was "./sos".  The process ID is 13826.
% 0.14/0.36  
% 0.14/0.36  set(prolog_style_variables).
% 0.14/0.36  set(auto).
% 0.14/0.36     dependent: set(auto1).
% 0.14/0.36     dependent: set(process_input).
% 0.14/0.36     dependent: clear(print_kept).
% 0.14/0.36     dependent: clear(print_new_demod).
% 0.14/0.36     dependent: clear(print_back_demod).
% 0.14/0.36     dependent: clear(print_back_sub).
% 0.14/0.36     dependent: set(control_memory).
% 0.14/0.36     dependent: assign(max_mem, 12000).
% 0.14/0.36     dependent: assign(pick_given_ratio, 4).
% 0.14/0.36     dependent: assign(stats_level, 1).
% 0.14/0.36     dependent: assign(pick_semantic_ratio, 3).
% 0.14/0.36     dependent: assign(sos_limit, 5000).
% 0.14/0.36     dependent: assign(max_weight, 60).
% 0.14/0.36  clear(print_given).
% 0.14/0.36  
% 0.14/0.36  list(usable).
% 0.14/0.36  
% 0.14/0.36  SCAN INPUT: prop=0, horn=1, equality=1, symmetry=0, max_lits=6.
% 0.14/0.36  
% 0.14/0.36  This is a Horn set with equality.  The strategy will be
% 0.14/0.36  Knuth-Bendix and hyper_res, with positive clauses in
% 0.14/0.36  sos and nonpositive clauses in usable.
% 0.14/0.36  
% 0.14/0.36     dependent: set(knuth_bendix).
% 0.14/0.36     dependent: set(para_from).
% 0.14/0.36     dependent: set(para_into).
% 0.14/0.36     dependent: clear(para_from_right).
% 0.14/0.36     dependent: clear(para_into_right).
% 0.14/0.36     dependent: set(para_from_vars).
% 0.14/0.36     dependent: set(eq_units_both_ways).
% 0.14/0.36     dependent: set(dynamic_demod_all).
% 0.14/0.36     dependent: set(dynamic_demod).
% 0.14/0.36     dependent: set(order_eq).
% 0.14/0.36     dependent: set(back_demod).
% 0.14/0.36     dependent: set(lrpo).
% 0.14/0.36     dependent: set(hyper_res).
% 0.14/0.36     dependent: clear(order_hyper).
% 0.14/0.36  
% 0.14/0.36  ------------> process usable:
% 0.14/0.36  
% 0.14/0.36  ------------> process sos:
% 0.14/0.36    Following clause subsumed by 11 during input processing: 0 [copy,11,flip.1] {-} A=A.
% 0.14/0.36  
% 0.14/0.36  ======= end of input processing =======
% 0.14/0.38  
% 0.14/0.38  Model 1 (0.00 seconds, 0 Inserts)
% 0.14/0.38  
% 0.14/0.38  Stopped by limit on number of solutions
% 0.14/0.38  
% 0.14/0.38  
% 0.14/0.38  -------------- Softie stats --------------
% 0.14/0.38  
% 0.14/0.38  UPDATE_STOP: 300
% 0.14/0.38  SFINDER_TIME_LIMIT: 2
% 0.14/0.38  SHORT_CLAUSE_CUTOFF: 4
% 0.14/0.38  number of clauses in intial UL: 7
% 0.14/0.38  number of clauses initially in problem: 11
% 0.14/0.38  percentage of clauses intially in UL: 63
% 0.14/0.38  percentage of distinct symbols occuring in initial UL: 71
% 0.14/0.38  percent of all initial clauses that are short: 100
% 0.14/0.38  absolute distinct symbol count: 7
% 0.14/0.38     distinct predicate count: 3
% 0.14/0.38     distinct function count: 1
% 0.14/0.38     distinct constant count: 3
% 0.14/0.38  
% 0.14/0.38  ---------- no more Softie stats ----------
% 0.14/0.38  
% 0.14/0.38  
% 0.14/0.38  
% 0.14/0.38  =========== start of search ===========
% 0.20/0.56  
% 0.20/0.56  -------- PROOF -------- 
% 0.20/0.56  % SZS status Unsatisfiable
% 0.20/0.56  % SZS output start Refutation
% 0.20/0.56  
% 0.20/0.56  Model 2 (0.00 seconds, 0 Inserts)
% 0.20/0.56  
% 0.20/0.56  Stopped by limit on number of solutions
% 0.20/0.56  
% 0.20/0.56  Model 3 [ 2 0 203 ] (0.00 seconds, 831 Inserts)
% 0.20/0.56  
% 0.20/0.56  Model 4 [ 3 1 500 ] (0.00 seconds, 1430 Inserts)
% 0.20/0.56  
% 0.20/0.56  Model 5 [ 4 1 61 ] (0.00 seconds, 2065 Inserts)
% 0.20/0.56  
% 0.20/0.56  Model 6 [ 6 1 758 ] (0.00 seconds, 2190 Inserts)
% 0.20/0.56  
% 0.20/0.56  Model 7 [ 8 1 1063 ] (0.00 seconds, 4734 Inserts)
% 0.20/0.56  
% 0.20/0.56  Model 8 [ 6 0 479 ] (0.00 seconds, 1968 Inserts)
% 0.20/0.56  
% 0.20/0.56  Model 9 [ 8 1 284 ] (0.00 seconds, 2497 Inserts)
% 0.20/0.56  
% 0.20/0.56  Model 10 [ 9 1 1239 ] (0.00 seconds, 3672 Inserts)
% 0.20/0.56  
% 0.20/0.56  Model 11 [ 10 1 673 ] (0.00 seconds, 1944 Inserts)
% 0.20/0.56  
% 0.20/0.56  ----> UNIT CONFLICT at   0.17 sec ----> 148 [binary,147.1,7.1] {-} $F.
% 0.20/0.56  
% 0.20/0.56  Length of proof is 8.  Level of proof is 7.
% 0.20/0.56  
% 0.20/0.56  ---------------- PROOF ----------------
% 0.20/0.56  % SZS status Unsatisfiable
% 0.20/0.56  % SZS output start Refutation
% 0.20/0.56  
% 0.20/0.56  1 [] {+} -less_equal(A,B)|quotient(A,B,zero).
% 0.20/0.56  2 [] {+} -quotient(A,B,zero)|less_equal(A,B).
% 0.20/0.56  3 [] {+} -quotient(A,B,C)|less_equal(C,A).
% 0.20/0.56  4 [] {+} -quotient(A,B,C)| -quotient(B,D,E)| -quotient(A,D,F)| -quotient(F,E,G)| -quotient(C,D,H)|less_equal(G,H).
% 0.20/0.56  5 [] {+} -less_equal(A,B)| -less_equal(B,A)|A=B.
% 0.20/0.56  7 [] {+} -quotient(x,x,zero).
% 0.20/0.56  8 [] {+} less_equal(zero,A).
% 0.20/0.56  10 [] {-} quotient(A,B,divide(A,B)).
% 0.20/0.56  19 [hyper,10,3] {+} less_equal(divide(A,B),A).
% 0.20/0.56  21 [para_into,10.1.3,5.3.1] {+} quotient(A,B,C)| -less_equal(divide(A,B),C)| -less_equal(C,divide(A,B)).
% 0.20/0.56  24 [hyper,19,1] {+} quotient(divide(A,B),A,zero).
% 0.20/0.56  91 [hyper,24,4,10,24,10,10] {+} less_equal(divide(divide(A,A),zero),zero).
% 0.20/0.56  102 [hyper,91,5,8,flip.1] {+} divide(divide(A,A),zero)=zero.
% 0.20/0.56  137 [para_from,102.1.1,10.1.3] {+} quotient(divide(A,A),zero,zero).
% 0.20/0.56  140 [hyper,137,2] {+} less_equal(divide(A,A),zero).
% 0.20/0.56  147 [hyper,140,21,8] {-} quotient(A,A,zero).
% 0.20/0.56  148 [binary,147.1,7.1] {-} $F.
% 0.20/0.56  
% 0.20/0.56  % SZS output end Refutation
% 0.20/0.56  ------------ end of proof -------------
% 0.20/0.56  
% 0.20/0.56  
% 0.20/0.56  Search stopped by max_proofs option.
% 0.20/0.56  
% 0.20/0.56  
% 0.20/0.56  Search stopped by max_proofs option.
% 0.20/0.56  
% 0.20/0.56  ============ end of search ============
% 0.20/0.56  
% 0.20/0.56  ----------- soft-scott stats ----------
% 0.20/0.56  
% 0.20/0.56  true clauses given           9      (36.0%)
% 0.20/0.56  false clauses given         16
% 0.20/0.56  
% 0.20/0.56        FALSE     TRUE
% 0.20/0.56     9  0         4
% 0.20/0.56    10  0         4
% 0.20/0.56    11  0         5
% 0.20/0.56    12  1         5
% 0.20/0.56    13  2         9
% 0.20/0.56    14  2         6
% 0.20/0.56    15  0         7
% 0.20/0.56    16  0         3
% 0.20/0.56    17  2         6
% 0.20/0.56    18  3         5
% 0.20/0.56    19  2         8
% 0.20/0.56    20  3         8
% 0.20/0.56    21  2         8
% 0.20/0.56    22  6         2
% 0.20/0.56    23  1         1
% 0.20/0.56    25  0         1
% 0.20/0.56  tot:  24        82      (77.4% true)
% 0.20/0.56  
% 0.20/0.56  
% 0.20/0.56  Model 11 [ 10 1 673 ] (0.00 seconds, 1944 Inserts)
% 0.20/0.56  
% 0.20/0.56  That finishes the proof of the theorem.
% 0.20/0.56  
% 0.20/0.56  Process 13826 finished Fri Jul  1 13:46:29 2022
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