TSTP Solution File: HEN007-2 by SOS---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SOS---2.0
% Problem  : HEN007-2 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : sos-script %s

% Computer : n004.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 13:02:47 EDT 2022

% Result   : Unsatisfiable 0.22s 0.51s
% Output   : Refutation 0.22s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : HEN007-2 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.14  % Command  : sos-script %s
% 0.14/0.35  % Computer : n004.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 600
% 0.14/0.35  % DateTime : Fri Jul  1 13:21:08 EDT 2022
% 0.14/0.35  % CPUTime  : 
% 0.14/0.37  ----- Otter 3.2, August 2001 -----
% 0.14/0.37  The process was started by sandbox2 on n004.cluster.edu,
% 0.14/0.37  Fri Jul  1 13:21:08 2022
% 0.14/0.37  The command was "./sos".  The process ID is 28022.
% 0.14/0.37  
% 0.14/0.37  set(prolog_style_variables).
% 0.14/0.37  set(auto).
% 0.14/0.37     dependent: set(auto1).
% 0.14/0.37     dependent: set(process_input).
% 0.14/0.37     dependent: clear(print_kept).
% 0.14/0.37     dependent: clear(print_new_demod).
% 0.14/0.37     dependent: clear(print_back_demod).
% 0.14/0.37     dependent: clear(print_back_sub).
% 0.14/0.37     dependent: set(control_memory).
% 0.14/0.37     dependent: assign(max_mem, 12000).
% 0.14/0.37     dependent: assign(pick_given_ratio, 4).
% 0.14/0.37     dependent: assign(stats_level, 1).
% 0.14/0.37     dependent: assign(pick_semantic_ratio, 3).
% 0.14/0.37     dependent: assign(sos_limit, 5000).
% 0.14/0.37     dependent: assign(max_weight, 60).
% 0.14/0.37  clear(print_given).
% 0.14/0.37  
% 0.14/0.37  list(usable).
% 0.14/0.37  
% 0.14/0.37  SCAN INPUT: prop=0, horn=1, equality=1, symmetry=0, max_lits=6.
% 0.14/0.37  
% 0.14/0.37  This is a Horn set with equality.  The strategy will be
% 0.14/0.37  Knuth-Bendix and hyper_res, with positive clauses in
% 0.14/0.37  sos and nonpositive clauses in usable.
% 0.14/0.37  
% 0.14/0.37     dependent: set(knuth_bendix).
% 0.14/0.37     dependent: set(para_from).
% 0.14/0.37     dependent: set(para_into).
% 0.14/0.37     dependent: clear(para_from_right).
% 0.14/0.37     dependent: clear(para_into_right).
% 0.14/0.37     dependent: set(para_from_vars).
% 0.14/0.37     dependent: set(eq_units_both_ways).
% 0.14/0.37     dependent: set(dynamic_demod_all).
% 0.14/0.37     dependent: set(dynamic_demod).
% 0.14/0.37     dependent: set(order_eq).
% 0.14/0.37     dependent: set(back_demod).
% 0.14/0.37     dependent: set(lrpo).
% 0.14/0.37     dependent: set(hyper_res).
% 0.14/0.37     dependent: clear(order_hyper).
% 0.14/0.37  
% 0.14/0.37  ------------> process usable:
% 0.14/0.37  
% 0.14/0.37  ------------> process sos:
% 0.14/0.37    Following clause subsumed by 20 during input processing: 0 [copy,20,flip.1] {-} A=A.
% 0.14/0.37  
% 0.14/0.37  ======= end of input processing =======
% 0.14/0.40  
% 0.14/0.40  Model 1 (0.00 seconds, 0 Inserts)
% 0.14/0.40  
% 0.14/0.40  Stopped by limit on number of solutions
% 0.14/0.40  
% 0.14/0.40  
% 0.14/0.40  -------------- Softie stats --------------
% 0.14/0.40  
% 0.14/0.40  UPDATE_STOP: 300
% 0.14/0.40  SFINDER_TIME_LIMIT: 2
% 0.14/0.40  SHORT_CLAUSE_CUTOFF: 4
% 0.14/0.40  number of clauses in intial UL: 9
% 0.14/0.40  number of clauses initially in problem: 20
% 0.14/0.40  percentage of clauses intially in UL: 45
% 0.14/0.40  percentage of distinct symbols occuring in initial UL: 54
% 0.14/0.40  percent of all initial clauses that are short: 100
% 0.14/0.40  absolute distinct symbol count: 11
% 0.14/0.40     distinct predicate count: 3
% 0.14/0.40     distinct function count: 1
% 0.14/0.40     distinct constant count: 7
% 0.14/0.40  
% 0.14/0.40  ---------- no more Softie stats ----------
% 0.14/0.40  
% 0.14/0.40  
% 0.14/0.40  
% 0.14/0.40  =========== start of search ===========
% 0.22/0.51  
% 0.22/0.51  -------- PROOF -------- 
% 0.22/0.51  % SZS status Unsatisfiable
% 0.22/0.51  % SZS output start Refutation
% 0.22/0.51  
% 0.22/0.51  Model 2 (0.00 seconds, 0 Inserts)
% 0.22/0.51  
% 0.22/0.51  Stopped by limit on number of solutions
% 0.22/0.51  
% 0.22/0.51  Model 3 (0.00 seconds, 0 Inserts)
% 0.22/0.51  
% 0.22/0.51  Stopped by limit on number of solutions
% 0.22/0.51  
% 0.22/0.51  Model 4 (0.00 seconds, 0 Inserts)
% 0.22/0.51  
% 0.22/0.51  Stopped by limit on number of solutions
% 0.22/0.51  
% 0.22/0.51  Model 5 (0.00 seconds, 0 Inserts)
% 0.22/0.51  
% 0.22/0.51  Stopped by limit on number of solutions
% 0.22/0.51  
% 0.22/0.51  Model 6 (0.00 seconds, 0 Inserts)
% 0.22/0.51  
% 0.22/0.51  Stopped by limit on number of solutions
% 0.22/0.51  
% 0.22/0.51  Model 7 (0.00 seconds, 0 Inserts)
% 0.22/0.51  
% 0.22/0.51  Stopped by limit on number of solutions
% 0.22/0.51  
% 0.22/0.51  Model 8 [ 1 1 5342 ] (0.00 seconds, 6336 Inserts)
% 0.22/0.51  
% 0.22/0.51  Model 9 [ 1 1 196 ] (0.00 seconds, 1237 Inserts)
% 0.22/0.51  
% 0.22/0.51  ----> UNIT CONFLICT at   0.11 sec ----> 176 [binary,175.1,9.1] {-} $F.
% 0.22/0.51  
% 0.22/0.51  Length of proof is 4.  Level of proof is 4.
% 0.22/0.51  
% 0.22/0.51  ---------------- PROOF ----------------
% 0.22/0.51  % SZS status Unsatisfiable
% 0.22/0.51  % SZS output start Refutation
% 0.22/0.51  
% 0.22/0.51  2 [] {+} -quotient(A,B,zero)|less_equal(A,B).
% 0.22/0.51  7 [] {+} -less_equal(A,B)| -less_equal(B,C)|less_equal(A,C).
% 0.22/0.51  8 [] {+} -quotient(A,B,C)| -less_equal(C,D)| -quotient(A,D,E)|less_equal(E,B).
% 0.22/0.51  9 [] {+} -less_equal(zQy,zQx).
% 0.22/0.51  12 [] {+} quotient(A,B,divide(A,B)).
% 0.22/0.51  15 [] {+} quotient(A,A,zero).
% 0.22/0.51  17 [] {+} less_equal(x,y).
% 0.22/0.51  18 [] {+} quotient(z,y,zQy).
% 0.22/0.51  19 [] {+} quotient(z,x,zQx).
% 0.22/0.51  25 [hyper,15,2] {+} less_equal(A,A).
% 0.22/0.51  149 [hyper,25,8,19,12] {-} less_equal(divide(z,zQx),x).
% 0.22/0.51  164 [hyper,149,7,17] {-} less_equal(divide(z,zQx),y).
% 0.22/0.51  175 [hyper,164,8,12,18] {-} less_equal(zQy,zQx).
% 0.22/0.51  176 [binary,175.1,9.1] {-} $F.
% 0.22/0.51  
% 0.22/0.51  % SZS output end Refutation
% 0.22/0.51  ------------ end of proof -------------
% 0.22/0.51  
% 0.22/0.51  
% 0.22/0.51  Search stopped by max_proofs option.
% 0.22/0.51  
% 0.22/0.51  
% 0.22/0.51  Search stopped by max_proofs option.
% 0.22/0.51  
% 0.22/0.51  ============ end of search ============
% 0.22/0.51  
% 0.22/0.51  ----------- soft-scott stats ----------
% 0.22/0.51  
% 0.22/0.51  true clauses given           7      (35.0%)
% 0.22/0.51  false clauses given         13
% 0.22/0.51  
% 0.22/0.51        FALSE     TRUE
% 0.22/0.51     4  0         2
% 0.22/0.51     5  0         18
% 0.22/0.51     6  2         1
% 0.22/0.51     7  3         5
% 0.22/0.51     9  2         16
% 0.22/0.51    10  3         12
% 0.22/0.51    11  7         20
% 0.22/0.51    12  3         12
% 0.22/0.51    13  10        9
% 0.22/0.51    14  0         2
% 0.22/0.51  tot:  30        97      (76.4% true)
% 0.22/0.51  
% 0.22/0.51  
% 0.22/0.51  Model 9 [ 1 1 196 ] (0.00 seconds, 1237 Inserts)
% 0.22/0.51  
% 0.22/0.51  That finishes the proof of the theorem.
% 0.22/0.51  
% 0.22/0.51  Process 28022 finished Fri Jul  1 13:21:08 2022
%------------------------------------------------------------------------------