TSTP Solution File: HEN008-4 by SOS---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SOS---2.0
% Problem  : HEN008-4 : 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 13:02:49 EDT 2022

% Result   : Unsatisfiable 0.20s 0.48s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem  : HEN008-4 : TPTP v8.1.0. Released v1.0.0.
% 0.12/0.13  % Command  : sos-script %s
% 0.13/0.34  % Computer : n013.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 : Fri Jul  1 13:17:14 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 0.13/0.36  ----- Otter 3.2, August 2001 -----
% 0.13/0.36  The process was started by sandbox2 on n013.cluster.edu,
% 0.13/0.36  Fri Jul  1 13:17:14 2022
% 0.13/0.36  The command was "./sos".  The process ID is 5798.
% 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  list(usable).
% 0.13/0.36  
% 0.13/0.36  SCAN INPUT: prop=0, horn=1, equality=1, symmetry=0, max_lits=3.
% 0.13/0.36  
% 0.13/0.36  This is a Horn set with equality.  The strategy will be
% 0.13/0.36  Knuth-Bendix and hyper_res, with positive clauses in
% 0.13/0.36  sos and nonpositive 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: clear(order_hyper).
% 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 21 during input processing: 0 [copy,21,flip.1] {-} A=A.
% 0.13/0.36  
% 0.13/0.36  ======= end of input processing =======
% 0.13/0.40  
% 0.13/0.40  Model 1 (0.00 seconds, 0 Inserts)
% 0.13/0.40  
% 0.13/0.40  Stopped by limit on number of solutions
% 0.13/0.40  
% 0.13/0.40  
% 0.13/0.40  -------------- Softie stats --------------
% 0.13/0.40  
% 0.13/0.40  UPDATE_STOP: 300
% 0.13/0.40  SFINDER_TIME_LIMIT: 2
% 0.13/0.40  SHORT_CLAUSE_CUTOFF: 4
% 0.13/0.40  number of clauses in intial UL: 7
% 0.13/0.40  number of clauses initially in problem: 21
% 0.13/0.40  percentage of clauses intially in UL: 33
% 0.13/0.40  percentage of distinct symbols occuring in initial UL: 87
% 0.13/0.40  percent of all initial clauses that are short: 100
% 0.13/0.40  absolute distinct symbol count: 8
% 0.13/0.40     distinct predicate count: 2
% 0.13/0.40     distinct function count: 1
% 0.13/0.40     distinct constant count: 5
% 0.13/0.40  
% 0.13/0.40  ---------- no more Softie stats ----------
% 0.13/0.40  
% 0.13/0.40  
% 0.13/0.40  
% 0.13/0.40  Model 2 (0.00 seconds, 0 Inserts)
% 0.13/0.40  
% 0.13/0.40  Stopped by limit on number of solutions
% 0.13/0.40  
% 0.13/0.40  =========== start of search ===========
% 0.20/0.48  
% 0.20/0.48  -------- PROOF -------- 
% 0.20/0.48  % SZS status Unsatisfiable
% 0.20/0.48  % SZS output start Refutation
% 0.20/0.48  
% 0.20/0.48  Model 3 (0.00 seconds, 0 Inserts)
% 0.20/0.48  
% 0.20/0.48  Stopped by limit on number of solutions
% 0.20/0.48  
% 0.20/0.48  Model 4 [ 2 1 580 ] (0.00 seconds, 916 Inserts)
% 0.20/0.48  
% 0.20/0.48  Model 5 [ 1 1 39 ] (0.00 seconds, 539 Inserts)
% 0.20/0.48  
% 0.20/0.48  Model 6 [ 3 1 123 ] (0.00 seconds, 819 Inserts)
% 0.20/0.48  
% 0.20/0.48  Model 7 [ 2 1 130 ] (0.00 seconds, 688 Inserts)
% 0.20/0.48  
% 0.20/0.48  ----> UNIT CONFLICT at   0.08 sec ----> 356 [binary,355.1,7.1] {-} $F.
% 0.20/0.48  
% 0.20/0.48  Length of proof is 4.  Level of proof is 4.
% 0.20/0.48  
% 0.20/0.48  ---------------- PROOF ----------------
% 0.20/0.48  % SZS status Unsatisfiable
% 0.20/0.48  % SZS output start Refutation
% 0.20/0.48  
% 0.20/0.48  1 [] {+} -less_equal(A,B)|divide(A,B)=zero.
% 0.20/0.48  2 [] {+} divide(A,B)!=zero|less_equal(A,B).
% 0.20/0.48  3 [] {+} -less_equal(A,B)| -less_equal(B,A)|A=B.
% 0.20/0.48  7 [] {+} -less_equal(divide(a,c),divide(b,c)).
% 0.20/0.48  9 [] {-} less_equal(divide(divide(A,B),divide(C,B)),divide(divide(A,C),B)).
% 0.20/0.48  10 [] {+} less_equal(zero,A).
% 0.20/0.48  15,14 [] {+} divide(zero,A)=zero.
% 0.20/0.48  20 [] {+} less_equal(a,b).
% 0.20/0.48  30 [hyper,20,1] {-} divide(a,b)=zero.
% 0.20/0.48  67 [para_from,30.1.1,9.1.2.1,demod,15] {-} less_equal(divide(divide(a,A),divide(b,A)),zero).
% 0.20/0.48  189 [hyper,67,3,10,flip.1] {-} divide(divide(a,A),divide(b,A))=zero.
% 0.20/0.48  355 [hyper,189,2] {-} less_equal(divide(a,A),divide(b,A)).
% 0.20/0.48  356 [binary,355.1,7.1] {-} $F.
% 0.20/0.48  
% 0.20/0.48  % SZS output end Refutation
% 0.20/0.48  ------------ end of proof -------------
% 0.20/0.48  
% 0.20/0.48  
% 0.20/0.48  Search stopped by max_proofs option.
% 0.20/0.48  
% 0.20/0.48  
% 0.20/0.48  Search stopped by max_proofs option.
% 0.20/0.48  
% 0.20/0.48  ============ end of search ============
% 0.20/0.48  
% 0.20/0.48  ----------- soft-scott stats ----------
% 0.20/0.48  
% 0.20/0.48  true clauses given          17      (34.0%)
% 0.20/0.48  false clauses given         33
% 0.20/0.48  
% 0.20/0.48        FALSE     TRUE
% 0.20/0.48     6  0         1
% 0.20/0.48     7  0         2
% 0.20/0.48     8  0         7
% 0.20/0.48     9  6         7
% 0.20/0.48    10  9         6
% 0.20/0.48    11  38        20
% 0.20/0.48    12  3         16
% 0.20/0.48    13  41        4
% 0.20/0.48    14  11        3
% 0.20/0.48    15  38        6
% 0.20/0.48    16  3         1
% 0.20/0.48    17  20        3
% 0.20/0.48    19  7         1
% 0.20/0.48    21  7         2
% 0.20/0.48    23  1         0
% 0.20/0.48    25  1         0
% 0.20/0.48  tot:  185       79      (29.9% true)
% 0.20/0.48  
% 0.20/0.48  
% 0.20/0.48  Model 7 [ 2 1 130 ] (0.00 seconds, 688 Inserts)
% 0.20/0.48  
% 0.20/0.48  That finishes the proof of the theorem.
% 0.20/0.48  
% 0.20/0.48  Process 5798 finished Fri Jul  1 13:17:14 2022
%------------------------------------------------------------------------------