TSTP Solution File: NUM568+1 by SOS---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SOS---2.0
% Problem  : NUM568+1 : TPTP v8.1.0. Released v4.0.0.
% 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 : Mon Jul 18 14:19:36 EDT 2022

% Result   : Theorem 8.81s 9.05s
% Output   : Refutation 8.81s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : NUM568+1 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.13  % Command  : sos-script %s
% 0.13/0.34  % Computer : n004.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 : Wed Jul  6 08:17:37 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.20/0.38  ----- Otter 3.2, August 2001 -----
% 0.20/0.38  The process was started by sandbox on n004.cluster.edu,
% 0.20/0.38  Wed Jul  6 08:17:37 2022
% 0.20/0.38  The command was "./sos".  The process ID is 28544.
% 0.20/0.38  
% 0.20/0.38  set(prolog_style_variables).
% 0.20/0.38  set(auto).
% 0.20/0.38     dependent: set(auto1).
% 0.20/0.38     dependent: set(process_input).
% 0.20/0.38     dependent: clear(print_kept).
% 0.20/0.38     dependent: clear(print_new_demod).
% 0.20/0.38     dependent: clear(print_back_demod).
% 0.20/0.38     dependent: clear(print_back_sub).
% 0.20/0.38     dependent: set(control_memory).
% 0.20/0.38     dependent: assign(max_mem, 12000).
% 0.20/0.38     dependent: assign(pick_given_ratio, 4).
% 0.20/0.38     dependent: assign(stats_level, 1).
% 0.20/0.38     dependent: assign(pick_semantic_ratio, 3).
% 0.20/0.38     dependent: assign(sos_limit, 5000).
% 0.20/0.38     dependent: assign(max_weight, 60).
% 0.20/0.38  clear(print_given).
% 0.20/0.38  
% 0.20/0.38  formula_list(usable).
% 0.20/0.38  
% 0.20/0.38  SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=9.
% 0.20/0.38  
% 0.20/0.38  This ia a non-Horn set with equality.  The strategy will be
% 0.20/0.38  Knuth-Bendix, ordered hyper_res, ur_res, factoring, and
% 0.20/0.38  unit deletion, with positive clauses in sos and nonpositive
% 0.20/0.38  clauses in usable.
% 0.20/0.38  
% 0.20/0.38     dependent: set(knuth_bendix).
% 0.20/0.38     dependent: set(para_from).
% 0.20/0.38     dependent: set(para_into).
% 0.20/0.38     dependent: clear(para_from_right).
% 0.20/0.38     dependent: clear(para_into_right).
% 0.20/0.38     dependent: set(para_from_vars).
% 0.20/0.38     dependent: set(eq_units_both_ways).
% 0.20/0.38     dependent: set(dynamic_demod_all).
% 0.20/0.38     dependent: set(dynamic_demod).
% 0.20/0.38     dependent: set(order_eq).
% 0.20/0.38     dependent: set(back_demod).
% 0.20/0.38     dependent: set(lrpo).
% 0.20/0.38     dependent: set(hyper_res).
% 0.20/0.38     dependent: set(unit_deletion).
% 0.20/0.38     dependent: set(factor).
% 0.20/0.38  
% 0.20/0.38  ------------> process usable:
% 0.20/0.38    Following clause subsumed by 139 during input processing: 0 [] {-} xK!=sz00.
% 0.20/0.38  149 back subsumes 148.
% 0.20/0.38  
% 0.20/0.38  ------------> process sos:
% 0.20/0.38    Following clause subsumed by 190 during input processing: 0 [copy,190,flip.1] {-} A=A.
% 0.20/0.38  190 back subsumes 159.
% 0.20/0.38  190 back subsumes 154.
% 0.20/0.38  190 back subsumes 153.
% 0.20/0.38  190 back subsumes 151.
% 0.20/0.38  190 back subsumes 147.
% 0.20/0.38  190 back subsumes 141.
% 0.20/0.38  
% 0.20/0.38  ======= end of input processing =======
% 0.59/0.82  
% 0.59/0.82  Stopped by limit on insertions
% 0.59/0.82  
% 0.59/0.82  
% 0.59/0.82  Failed to model usable list: disabling FINDER
% 0.59/0.82  
% 0.59/0.82  
% 0.59/0.82  
% 0.59/0.82  -------------- Softie stats --------------
% 0.59/0.82  
% 0.59/0.82  UPDATE_STOP: 300
% 0.59/0.82  SFINDER_TIME_LIMIT: 2
% 0.59/0.82  SHORT_CLAUSE_CUTOFF: 4
% 0.59/0.82  number of clauses in intial UL: 164
% 0.59/0.82  number of clauses initially in problem: 180
% 0.59/0.82  percentage of clauses intially in UL: 91
% 0.59/0.82  percentage of distinct symbols occuring in initial UL: 96
% 0.59/0.82  percent of all initial clauses that are short: 100
% 0.59/0.82  absolute distinct symbol count: 52
% 0.59/0.82     distinct predicate count: 10
% 0.59/0.82     distinct function count: 35
% 0.59/0.82     distinct constant count: 7
% 0.59/0.82  
% 0.59/0.82  ---------- no more Softie stats ----------
% 0.59/0.82  
% 0.59/0.82  
% 0.59/0.82  
% 0.59/0.82  =========== start of search ===========
% 2.86/3.05  
% 2.86/3.05  
% 2.86/3.05  Changing weight limit from 60 to 52.
% 2.86/3.05  
% 2.86/3.05  Resetting weight limit to 52 after 35 givens.
% 2.86/3.05  
% 4.29/4.47  
% 4.29/4.47  
% 4.29/4.47  Changing weight limit from 52 to 39.
% 4.29/4.47  
% 4.29/4.47  Resetting weight limit to 39 after 40 givens.
% 4.29/4.47  
% 4.80/5.06  
% 4.80/5.06  
% 4.80/5.06  Changing weight limit from 39 to 30.
% 4.80/5.06  
% 4.80/5.06  Resetting weight limit to 30 after 45 givens.
% 4.80/5.06  
% 5.10/5.33  
% 5.10/5.33  
% 5.10/5.33  Changing weight limit from 30 to 28.
% 5.10/5.33  
% 5.10/5.33  Resetting weight limit to 28 after 50 givens.
% 5.10/5.33  
% 5.50/5.69  
% 5.50/5.69  
% 5.50/5.69  Changing weight limit from 28 to 26.
% 5.50/5.69  
% 5.50/5.69  Resetting weight limit to 26 after 55 givens.
% 5.50/5.69  
% 5.72/5.95  
% 5.72/5.95  
% 5.72/5.95  Changing weight limit from 26 to 24.
% 5.72/5.95  
% 5.72/5.95  Resetting weight limit to 24 after 60 givens.
% 5.72/5.95  
% 5.86/6.13  
% 5.86/6.13  
% 5.86/6.13  Changing weight limit from 24 to 23.
% 5.86/6.13  
% 5.86/6.13  Resetting weight limit to 23 after 65 givens.
% 5.86/6.13  
% 6.16/6.43  
% 6.16/6.43  
% 6.16/6.43  Changing weight limit from 23 to 22.
% 6.16/6.43  
% 6.16/6.43  Resetting weight limit to 22 after 75 givens.
% 6.16/6.43  
% 6.90/7.13  
% 6.90/7.13  
% 6.90/7.13  Changing weight limit from 22 to 21.
% 6.90/7.13  
% 6.90/7.13  Resetting weight limit to 21 after 85 givens.
% 6.90/7.13  
% 7.30/7.53  
% 7.30/7.53  
% 7.30/7.53  Changing weight limit from 21 to 20.
% 7.30/7.53  
% 7.30/7.53  Resetting weight limit to 20 after 90 givens.
% 7.30/7.53  
% 7.72/7.92  
% 7.72/7.92  
% 7.72/7.92  Changing weight limit from 20 to 19.
% 7.72/7.92  
% 7.72/7.92  Resetting weight limit to 19 after 95 givens.
% 7.72/7.92  
% 8.33/8.53  
% 8.33/8.53  
% 8.33/8.53  Changing weight limit from 19 to 18.
% 8.33/8.53  
% 8.33/8.53  Resetting weight limit to 18 after 105 givens.
% 8.33/8.53  
% 8.81/9.02  
% 8.81/9.02  
% 8.81/9.02  Changing weight limit from 18 to 17.
% 8.81/9.02  
% 8.81/9.02  Resetting weight limit to 17 after 125 givens.
% 8.81/9.02  
% 8.81/9.05  
% 8.81/9.05  -------- PROOF -------- 
% 8.81/9.05  % SZS status Theorem
% 8.81/9.05  % SZS output start Refutation
% 8.81/9.05  
% 8.81/9.05  -----> EMPTY CLAUSE at   8.62 sec ----> 15980 [hyper,795,140,797] {-} $F.
% 8.81/9.05  
% 8.81/9.05  Length of proof is 3.  Level of proof is 2.
% 8.81/9.05  
% 8.81/9.05  ---------------- PROOF ----------------
% 8.81/9.05  % SZS status Theorem
% 8.81/9.05  % SZS output start Refutation
% 8.81/9.05  
% 8.81/9.05  42 [] {+} -aElementOf0(A,szNzAzT0)|A=sz00|aElementOf0($f5(A),szNzAzT0).
% 8.81/9.05  43 [] {-} -aElementOf0(A,szNzAzT0)|A=sz00|A=szszuzczcdt0($f5(A)).
% 8.81/9.05  44 [copy,43,flip.3] {+} -aElementOf0(A,szNzAzT0)|A=sz00|szszuzczcdt0($f5(A))=A.
% 8.81/9.05  139 [] {+} xK!=sz00.
% 8.81/9.05  140 [] {+} -aElementOf0(A,szNzAzT0)|szszuzczcdt0(A)!=xK.
% 8.81/9.05  182 [] {-} aElementOf0(xK,szNzAzT0).
% 8.81/9.05  795 [hyper,182,44,unit_del,139] {-} szszuzczcdt0($f5(xK))=xK.
% 8.81/9.05  797 [hyper,182,42,unit_del,139] {-} aElementOf0($f5(xK),szNzAzT0).
% 8.81/9.05  15980 [hyper,795,140,797] {-} $F.
% 8.81/9.05  
% 8.81/9.05  % SZS output end Refutation
% 8.81/9.05  ------------ end of proof -------------
% 8.81/9.05  
% 8.81/9.05  
% 8.81/9.05  Search stopped by max_proofs option.
% 8.81/9.05  
% 8.81/9.05  
% 8.81/9.05  Search stopped by max_proofs option.
% 8.81/9.05  
% 8.81/9.05  ============ end of search ============
% 8.81/9.05  
% 8.81/9.05  That finishes the proof of the theorem.
% 8.81/9.05  
% 8.81/9.05  Process 28544 finished Wed Jul  6 08:17:46 2022
%------------------------------------------------------------------------------