TSTP Solution File: NUM549+3 by SOS---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SOS---2.0
% Problem  : NUM549+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : sos-script %s

% Computer : n026.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 14:19:25 EDT 2022

% Result   : Theorem 10.81s 11.03s
% Output   : Refutation 10.81s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09  % Problem  : NUM549+3 : TPTP v8.1.0. Released v4.0.0.
% 0.00/0.09  % Command  : sos-script %s
% 0.08/0.29  % Computer : n026.cluster.edu
% 0.08/0.29  % Model    : x86_64 x86_64
% 0.08/0.29  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.29  % Memory   : 8042.1875MB
% 0.08/0.29  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.08/0.29  % CPULimit : 300
% 0.08/0.29  % WCLimit  : 600
% 0.08/0.29  % DateTime : Wed Jul  6 00:12:53 EDT 2022
% 0.08/0.29  % CPUTime  : 
% 0.14/0.31  ----- Otter 3.2, August 2001 -----
% 0.14/0.31  The process was started by sandbox on n026.cluster.edu,
% 0.14/0.31  Wed Jul  6 00:12:53 2022
% 0.14/0.31  The command was "./sos".  The process ID is 25057.
% 0.14/0.31  
% 0.14/0.31  set(prolog_style_variables).
% 0.14/0.31  set(auto).
% 0.14/0.31     dependent: set(auto1).
% 0.14/0.31     dependent: set(process_input).
% 0.14/0.31     dependent: clear(print_kept).
% 0.14/0.31     dependent: clear(print_new_demod).
% 0.14/0.31     dependent: clear(print_back_demod).
% 0.14/0.31     dependent: clear(print_back_sub).
% 0.14/0.31     dependent: set(control_memory).
% 0.14/0.31     dependent: assign(max_mem, 12000).
% 0.14/0.31     dependent: assign(pick_given_ratio, 4).
% 0.14/0.31     dependent: assign(stats_level, 1).
% 0.14/0.31     dependent: assign(pick_semantic_ratio, 3).
% 0.14/0.31     dependent: assign(sos_limit, 5000).
% 0.14/0.31     dependent: assign(max_weight, 60).
% 0.14/0.31  clear(print_given).
% 0.14/0.31  
% 0.14/0.31  formula_list(usable).
% 0.14/0.31  
% 0.14/0.31  SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=8.
% 0.14/0.31  
% 0.14/0.31  This ia a non-Horn set with equality.  The strategy will be
% 0.14/0.31  Knuth-Bendix, ordered hyper_res, ur_res, factoring, and
% 0.14/0.31  unit deletion, with positive clauses in sos and nonpositive
% 0.14/0.31  clauses in usable.
% 0.14/0.31  
% 0.14/0.31     dependent: set(knuth_bendix).
% 0.14/0.31     dependent: set(para_from).
% 0.14/0.31     dependent: set(para_into).
% 0.14/0.31     dependent: clear(para_from_right).
% 0.14/0.31     dependent: clear(para_into_right).
% 0.14/0.31     dependent: set(para_from_vars).
% 0.14/0.31     dependent: set(eq_units_both_ways).
% 0.14/0.31     dependent: set(dynamic_demod_all).
% 0.14/0.31     dependent: set(dynamic_demod).
% 0.14/0.31     dependent: set(order_eq).
% 0.14/0.31     dependent: set(back_demod).
% 0.14/0.31     dependent: set(lrpo).
% 0.14/0.31     dependent: set(hyper_res).
% 0.14/0.31     dependent: set(unit_deletion).
% 0.14/0.31     dependent: set(factor).
% 0.14/0.31  
% 0.14/0.31  ------------> process usable:
% 0.14/0.31    Following clause subsumed by 103 during input processing: 0 [] {-} -aElementOf0(A,slbdtsldtrb0(xS,xk))|aSet0(A).
% 0.14/0.31    Following clause subsumed by 104 during input processing: 0 [] {-} -aElementOf0(A,slbdtsldtrb0(xS,xk))| -aElementOf0(B,A)|aElementOf0(B,xS).
% 0.14/0.31    Following clause subsumed by 105 during input processing: 0 [] {-} -aElementOf0(A,slbdtsldtrb0(xS,xk))|aSubsetOf0(A,xS).
% 0.14/0.31    Following clause subsumed by 106 during input processing: 0 [] {-} -aElementOf0(A,slbdtsldtrb0(xS,xk))|sbrdtbr0(A)=xk.
% 0.14/0.31    Following clause subsumed by 109 during input processing: 0 [] {-} -aSubsetOf0(A,xS)|sbrdtbr0(A)!=xk|aElementOf0(A,slbdtsldtrb0(xS,xk)).
% 0.14/0.31  131 back subsumes 130.
% 0.14/0.31  
% 0.14/0.31  ------------> process sos:
% 0.14/0.31    Following clause subsumed by 166 during input processing: 0 [] {-} aSet0(xQ).
% 0.14/0.31    Following clause subsumed by 174 during input processing: 0 [copy,173,flip.1] {-} xk=xk.
% 0.14/0.31    Following clause subsumed by 174 during input processing: 0 [copy,174,flip.1] {-} A=A.
% 0.14/0.31  174 back subsumes 173.
% 0.14/0.31  174 back subsumes 141.
% 0.14/0.31  174 back subsumes 136.
% 0.14/0.31  174 back subsumes 135.
% 0.14/0.31  174 back subsumes 133.
% 0.14/0.31  174 back subsumes 129.
% 0.14/0.31  174 back subsumes 123.
% 0.14/0.31  
% 0.14/0.31  ======= end of input processing =======
% 0.14/0.56  
% 0.14/0.56  Stopped by limit on insertions
% 0.14/0.56  
% 0.14/0.56  
% 0.14/0.56  Failed to model usable list: disabling FINDER
% 0.14/0.56  
% 0.14/0.56  
% 0.14/0.56  
% 0.14/0.56  -------------- Softie stats --------------
% 0.14/0.56  
% 0.14/0.56  UPDATE_STOP: 300
% 0.14/0.56  SFINDER_TIME_LIMIT: 2
% 0.14/0.56  SHORT_CLAUSE_CUTOFF: 4
% 0.14/0.56  number of clauses in intial UL: 142
% 0.14/0.56  number of clauses initially in problem: 163
% 0.14/0.56  percentage of clauses intially in UL: 87
% 0.14/0.56  percentage of distinct symbols occuring in initial UL: 95
% 0.14/0.56  percent of all initial clauses that are short: 100
% 0.14/0.56  absolute distinct symbol count: 40
% 0.14/0.56     distinct predicate count: 9
% 0.14/0.56     distinct function count: 22
% 0.14/0.56     distinct constant count: 9
% 0.14/0.56  
% 0.14/0.56  ---------- no more Softie stats ----------
% 0.14/0.56  
% 0.14/0.56  
% 0.14/0.56  
% 0.14/0.56  =========== start of search ===========
% 1.43/1.68  
% 1.43/1.68  
% 1.43/1.68  Changing weight limit from 60 to 28.
% 1.43/1.68  
% 1.43/1.68  Resetting weight limit to 28 after 40 givens.
% 1.43/1.68  
% 1.81/2.06  
% 1.81/2.06  
% 1.81/2.06  Changing weight limit from 28 to 25.
% 1.81/2.06  
% 1.81/2.06  Resetting weight limit to 25 after 45 givens.
% 1.81/2.06  
% 2.23/2.45  
% 2.23/2.45  
% 2.23/2.45  Changing weight limit from 25 to 23.
% 2.23/2.45  
% 2.23/2.45  Resetting weight limit to 23 after 50 givens.
% 2.23/2.45  
% 2.63/2.81  
% 2.63/2.81  
% 2.63/2.81  Changing weight limit from 23 to 22.
% 2.63/2.81  
% 2.63/2.81  Resetting weight limit to 22 after 60 givens.
% 2.63/2.81  
% 3.11/3.29  
% 3.11/3.29  
% 3.11/3.29  Changing weight limit from 22 to 21.
% 3.11/3.29  
% 3.11/3.29  Resetting weight limit to 21 after 70 givens.
% 3.11/3.29  
% 3.44/3.65  
% 3.44/3.65  
% 3.44/3.65  Changing weight limit from 21 to 20.
% 3.44/3.65  
% 3.44/3.65  Resetting weight limit to 20 after 75 givens.
% 3.44/3.65  
% 4.33/4.52  
% 4.33/4.52  
% 4.33/4.52  Changing weight limit from 20 to 19.
% 4.33/4.52  
% 4.33/4.52  Resetting weight limit to 19 after 90 givens.
% 4.33/4.52  
% 5.22/5.43  
% 5.22/5.43  
% 5.22/5.43  Changing weight limit from 19 to 18.
% 5.22/5.43  
% 5.22/5.43  Resetting weight limit to 18 after 100 givens.
% 5.22/5.43  
% 6.01/6.24  
% 6.01/6.24  
% 6.01/6.24  Changing weight limit from 18 to 17.
% 6.01/6.24  
% 6.01/6.24  Resetting weight limit to 17 after 110 givens.
% 6.01/6.24  
% 7.02/7.20  
% 7.02/7.20  
% 7.02/7.20  Changing weight limit from 17 to 16.
% 7.02/7.20  
% 7.02/7.20  Resetting weight limit to 16 after 120 givens.
% 7.02/7.20  
% 7.93/8.13  
% 7.93/8.13  
% 7.93/8.13  Changing weight limit from 16 to 15.
% 7.93/8.13  
% 7.93/8.13  Resetting weight limit to 15 after 130 givens.
% 7.93/8.13  
% 8.20/8.40  
% 8.20/8.40  
% 8.20/8.40  Changing weight limit from 15 to 14.
% 8.20/8.40  
% 8.20/8.40  Resetting weight limit to 14 after 135 givens.
% 8.20/8.40  
% 9.82/10.06  
% 9.82/10.06  
% 9.82/10.06  Changing weight limit from 14 to 13.
% 9.82/10.06  
% 9.82/10.06  Resetting weight limit to 13 after 160 givens.
% 9.82/10.06  
% 10.33/10.61  
% 10.33/10.61  
% 10.33/10.61  Changing weight limit from 13 to 12.
% 10.33/10.61  
% 10.33/10.61  Resetting weight limit to 12 after 165 givens.
% 10.33/10.61  
% 10.81/11.03  
% 10.81/11.03  -- HEY sandbox, WE HAVE A PROOF!! -- 
% 10.81/11.03  
% 10.81/11.03  -----> EMPTY CLAUSE at  10.48 sec ----> 16347 [hyper,16264,122,5253] {-} $F.
% 10.81/11.03  
% 10.81/11.03  Length of proof is 3.  Level of proof is 3.
% 10.81/11.03  
% 10.81/11.03  ---------------- PROOF ----------------
% 10.81/11.03  % SZS status Theorem
% 10.81/11.03  % SZS output start Refutation
% 10.81/11.03  
% 10.81/11.03  1 [] {+} -aSet0(A)| -aElementOf0(B,A)|aElement0(B).
% 10.81/11.03  4 [] {+} A=slcrc0| -aSet0(A)|aElementOf0($f1(A),A).
% 10.81/11.03  91 [] {+} -aElementOf0(A,szNzAzT0)|sbrdtbr0(slbdtrb0(A))=A.
% 10.81/11.03  102 [] {+} xk!=sz00.
% 10.81/11.03  122 [] {+} -aElement0(A)| -aElementOf0(A,xQ).
% 10.81/11.03  155 [] {-} aElementOf0(sz00,szNzAzT0).
% 10.81/11.03  157,156 [] {-} slbdtrb0(sz00)=slcrc0.
% 10.81/11.03  166 [] {-} aSet0(xQ).
% 10.81/11.03  168 [] {-} sbrdtbr0(xQ)=xk.
% 10.81/11.03  413,412 [hyper,155,91,demod,157] {-} sbrdtbr0(slcrc0)=sz00.
% 10.81/11.03  5253 [para_into,168.1.1.1,4.1.1,demod,413,unit_del,102,166] {-} aElementOf0($f1(xQ),xQ).
% 10.81/11.03  16264 [hyper,5253,1,166] {-} aElement0($f1(xQ)).
% 10.81/11.03  16347 [hyper,16264,122,5253] {-} $F.
% 10.81/11.03  
% 10.81/11.03  % SZS output end Refutation
% 10.81/11.03  ------------ end of proof -------------
% 10.81/11.03  
% 10.81/11.03  
% 10.81/11.03  Search stopped by max_proofs option.
% 10.81/11.03  
% 10.81/11.03  
% 10.81/11.03  Search stopped by max_proofs option.
% 10.81/11.03  
% 10.81/11.03  ============ end of search ============
% 10.81/11.03  
% 10.81/11.03  That finishes the proof of the theorem.
% 10.81/11.03  
% 10.81/11.03  Process 25057 finished Wed Jul  6 00:13:03 2022
%------------------------------------------------------------------------------