TSTP Solution File: NUM549+1 by SOS---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SOS---2.0
% Problem  : NUM549+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : sos-script %s

% Computer : n012.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 7.90s 8.10s
% Output   : Refutation 7.90s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : NUM549+1 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.13  % Command  : sos-script %s
% 0.12/0.33  % Computer : n012.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 600
% 0.12/0.34  % DateTime : Wed Jul  6 20:51:45 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.19/0.36  ----- Otter 3.2, August 2001 -----
% 0.19/0.36  The process was started by sandbox on n012.cluster.edu,
% 0.19/0.36  Wed Jul  6 20:51:45 2022
% 0.19/0.36  The command was "./sos".  The process ID is 20380.
% 0.19/0.36  
% 0.19/0.36  set(prolog_style_variables).
% 0.19/0.36  set(auto).
% 0.19/0.36     dependent: set(auto1).
% 0.19/0.36     dependent: set(process_input).
% 0.19/0.36     dependent: clear(print_kept).
% 0.19/0.36     dependent: clear(print_new_demod).
% 0.19/0.36     dependent: clear(print_back_demod).
% 0.19/0.36     dependent: clear(print_back_sub).
% 0.19/0.36     dependent: set(control_memory).
% 0.19/0.36     dependent: assign(max_mem, 12000).
% 0.19/0.36     dependent: assign(pick_given_ratio, 4).
% 0.19/0.36     dependent: assign(stats_level, 1).
% 0.19/0.36     dependent: assign(pick_semantic_ratio, 3).
% 0.19/0.36     dependent: assign(sos_limit, 5000).
% 0.19/0.36     dependent: assign(max_weight, 60).
% 0.19/0.36  clear(print_given).
% 0.19/0.36  
% 0.19/0.36  formula_list(usable).
% 0.19/0.36  
% 0.19/0.36  SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=8.
% 0.19/0.36  
% 0.19/0.36  This ia a non-Horn set with equality.  The strategy will be
% 0.19/0.36  Knuth-Bendix, ordered hyper_res, ur_res, factoring, and
% 0.19/0.36  unit deletion, with positive clauses in sos and nonpositive
% 0.19/0.36  clauses in usable.
% 0.19/0.36  
% 0.19/0.36     dependent: set(knuth_bendix).
% 0.19/0.36     dependent: set(para_from).
% 0.19/0.36     dependent: set(para_into).
% 0.19/0.36     dependent: clear(para_from_right).
% 0.19/0.36     dependent: clear(para_into_right).
% 0.19/0.36     dependent: set(para_from_vars).
% 0.19/0.36     dependent: set(eq_units_both_ways).
% 0.19/0.36     dependent: set(dynamic_demod_all).
% 0.19/0.36     dependent: set(dynamic_demod).
% 0.19/0.36     dependent: set(order_eq).
% 0.19/0.36     dependent: set(back_demod).
% 0.19/0.36     dependent: set(lrpo).
% 0.19/0.36     dependent: set(hyper_res).
% 0.19/0.36     dependent: set(unit_deletion).
% 0.19/0.36     dependent: set(factor).
% 0.19/0.36  
% 0.19/0.36  ------------> process usable:
% 0.19/0.36  113 back subsumes 112.
% 0.19/0.36  
% 0.19/0.36  ------------> process sos:
% 0.19/0.36    Following clause subsumed by 148 during input processing: 0 [copy,148,flip.1] {-} A=A.
% 0.19/0.36  148 back subsumes 123.
% 0.19/0.36  148 back subsumes 118.
% 0.19/0.36  148 back subsumes 117.
% 0.19/0.36  148 back subsumes 115.
% 0.19/0.36  148 back subsumes 111.
% 0.19/0.36  148 back subsumes 105.
% 0.19/0.36  
% 0.19/0.36  ======= end of input processing =======
% 0.56/0.75  
% 0.56/0.75  Stopped by limit on insertions
% 0.56/0.75  
% 0.56/0.75  
% 0.56/0.75  Failed to model usable list: disabling FINDER
% 0.56/0.75  
% 0.56/0.75  
% 0.56/0.75  
% 0.56/0.75  -------------- Softie stats --------------
% 0.56/0.75  
% 0.56/0.75  UPDATE_STOP: 300
% 0.56/0.75  SFINDER_TIME_LIMIT: 2
% 0.56/0.75  SHORT_CLAUSE_CUTOFF: 4
% 0.56/0.75  number of clauses in intial UL: 122
% 0.56/0.75  number of clauses initially in problem: 139
% 0.56/0.75  percentage of clauses intially in UL: 87
% 0.56/0.75  percentage of distinct symbols occuring in initial UL: 94
% 0.56/0.75  percent of all initial clauses that are short: 100
% 0.56/0.75  absolute distinct symbol count: 36
% 0.56/0.75     distinct predicate count: 9
% 0.56/0.75     distinct function count: 19
% 0.56/0.75     distinct constant count: 8
% 0.56/0.75  
% 0.56/0.75  ---------- no more Softie stats ----------
% 0.56/0.75  
% 0.56/0.75  
% 0.56/0.75  
% 0.56/0.75  =========== start of search ===========
% 3.36/3.53  
% 3.36/3.53  
% 3.36/3.53  Changing weight limit from 60 to 36.
% 3.36/3.53  
% 3.36/3.53  Resetting weight limit to 36 after 45 givens.
% 3.36/3.53  
% 3.75/3.94  
% 3.75/3.94  
% 3.75/3.94  Changing weight limit from 36 to 30.
% 3.75/3.94  
% 3.75/3.94  Resetting weight limit to 30 after 50 givens.
% 3.75/3.94  
% 4.05/4.26  
% 4.05/4.26  
% 4.05/4.26  Changing weight limit from 30 to 28.
% 4.05/4.26  
% 4.05/4.26  Resetting weight limit to 28 after 55 givens.
% 4.05/4.26  
% 4.37/4.61  
% 4.37/4.61  
% 4.37/4.61  Changing weight limit from 28 to 25.
% 4.37/4.61  
% 4.37/4.61  Resetting weight limit to 25 after 60 givens.
% 4.37/4.61  
% 4.65/4.84  
% 4.65/4.84  
% 4.65/4.84  Changing weight limit from 25 to 24.
% 4.65/4.84  
% 4.65/4.84  Resetting weight limit to 24 after 65 givens.
% 4.65/4.84  
% 4.96/5.20  
% 4.96/5.20  
% 4.96/5.20  Changing weight limit from 24 to 22.
% 4.96/5.20  
% 4.96/5.20  Resetting weight limit to 22 after 70 givens.
% 4.96/5.20  
% 5.24/5.42  
% 5.24/5.42  
% 5.24/5.42  Changing weight limit from 22 to 21.
% 5.24/5.42  
% 5.24/5.42  Resetting weight limit to 21 after 75 givens.
% 5.24/5.42  
% 5.65/5.86  
% 5.65/5.86  
% 5.65/5.86  Changing weight limit from 21 to 20.
% 5.65/5.86  
% 5.65/5.86  Resetting weight limit to 20 after 85 givens.
% 5.65/5.86  
% 5.97/6.18  
% 5.97/6.18  
% 5.97/6.18  Changing weight limit from 20 to 19.
% 5.97/6.18  
% 5.97/6.18  Resetting weight limit to 19 after 90 givens.
% 5.97/6.18  
% 6.68/6.90  
% 6.68/6.90  
% 6.68/6.90  Changing weight limit from 19 to 18.
% 6.68/6.90  
% 6.68/6.90  Resetting weight limit to 18 after 105 givens.
% 6.68/6.90  
% 7.15/7.35  
% 7.15/7.35  
% 7.15/7.35  Changing weight limit from 18 to 17.
% 7.15/7.35  
% 7.15/7.35  Resetting weight limit to 17 after 115 givens.
% 7.15/7.35  
% 7.46/7.65  
% 7.46/7.65  
% 7.46/7.65  Changing weight limit from 17 to 16.
% 7.46/7.65  
% 7.46/7.65  Resetting weight limit to 16 after 120 givens.
% 7.46/7.65  
% 7.90/8.10  
% 7.90/8.10  -------- PROOF -------- 
% 7.90/8.10  % SZS status Theorem
% 7.90/8.10  % SZS output start Refutation
% 7.90/8.10  
% 7.90/8.10  -----> EMPTY CLAUSE at   7.66 sec ----> 15701 [hyper,15629,104,2953] {-} $F.
% 7.90/8.10  
% 7.90/8.10  Length of proof is 3.  Level of proof is 3.
% 7.90/8.10  
% 7.90/8.10  ---------------- PROOF ----------------
% 7.90/8.10  % SZS status Theorem
% 7.90/8.10  % SZS output start Refutation
% 7.90/8.10  
% 7.90/8.10  1 [] {+} -aSet0(A)| -aElementOf0(B,A)|aElement0(B).
% 7.90/8.10  4 [] {+} A=slcrc0| -aSet0(A)|aElementOf0($f1(A),A).
% 7.90/8.10  91 [] {+} -aElementOf0(A,szNzAzT0)|sbrdtbr0(slbdtrb0(A))=A.
% 7.90/8.10  102 [] {+} xk!=sz00.
% 7.90/8.10  104 [] {+} -aElement0(A)| -aElementOf0(A,xQ).
% 7.90/8.10  135 [] {-} aElementOf0(sz00,szNzAzT0).
% 7.90/8.10  137,136 [] {-} slbdtrb0(sz00)=slcrc0.
% 7.90/8.10  144 [] {-} aSet0(xQ).
% 7.90/8.10  146 [] {-} sbrdtbr0(xQ)=xk.
% 7.90/8.10  387,386 [hyper,135,91,demod,137] {-} sbrdtbr0(slcrc0)=sz00.
% 7.90/8.10  2953 [para_into,146.1.1.1,4.1.1,demod,387,unit_del,102,144] {-} aElementOf0($f1(xQ),xQ).
% 7.90/8.10  15629 [hyper,2953,1,144] {-} aElement0($f1(xQ)).
% 7.90/8.10  15701 [hyper,15629,104,2953] {-} $F.
% 7.90/8.10  
% 7.90/8.10  % SZS output end Refutation
% 7.90/8.10  ------------ end of proof -------------
% 7.90/8.10  
% 7.90/8.10  
% 7.90/8.10  Search stopped by max_proofs option.
% 7.90/8.10  
% 7.90/8.10  
% 7.90/8.10  Search stopped by max_proofs option.
% 7.90/8.10  
% 7.90/8.10  ============ end of search ============
% 7.90/8.10  
% 7.90/8.10  That finishes the proof of the theorem.
% 7.90/8.10  
% 7.90/8.10  Process 20380 finished Wed Jul  6 20:51:52 2022
%------------------------------------------------------------------------------