TSTP Solution File: LCL191-3 by SOS---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SOS---2.0
% Problem  : LCL191-3 : TPTP v8.1.0. Released v2.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : sos-script %s

% Computer : n008.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 : Sun Jul 17 14:28:30 EDT 2022

% Result   : Unsatisfiable 55.83s 56.07s
% Output   : Refutation 55.83s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.12  % Problem  : LCL191-3 : TPTP v8.1.0. Released v2.3.0.
% 0.09/0.12  % Command  : sos-script %s
% 0.13/0.33  % Computer : n008.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 600
% 0.13/0.33  % DateTime : Mon Jul  4 10:33:08 EDT 2022
% 0.13/0.33  % CPUTime  : 
% 0.13/0.35  ----- Otter 3.2, August 2001 -----
% 0.13/0.35  The process was started by sandbox2 on n008.cluster.edu,
% 0.13/0.35  Mon Jul  4 10:33:08 2022
% 0.13/0.35  The command was "./sos".  The process ID is 25871.
% 0.13/0.35  
% 0.13/0.35  set(prolog_style_variables).
% 0.13/0.35  set(auto).
% 0.13/0.35     dependent: set(auto1).
% 0.13/0.35     dependent: set(process_input).
% 0.13/0.35     dependent: clear(print_kept).
% 0.13/0.35     dependent: clear(print_new_demod).
% 0.13/0.35     dependent: clear(print_back_demod).
% 0.13/0.35     dependent: clear(print_back_sub).
% 0.13/0.35     dependent: set(control_memory).
% 0.13/0.35     dependent: assign(max_mem, 12000).
% 0.13/0.35     dependent: assign(pick_given_ratio, 4).
% 0.13/0.35     dependent: assign(stats_level, 1).
% 0.13/0.35     dependent: assign(pick_semantic_ratio, 3).
% 0.13/0.35     dependent: assign(sos_limit, 5000).
% 0.13/0.35     dependent: assign(max_weight, 60).
% 0.13/0.35  clear(print_given).
% 0.13/0.35  
% 0.13/0.35  list(usable).
% 0.13/0.35  
% 0.13/0.35  SCAN INPUT: prop=0, horn=1, equality=1, symmetry=0, max_lits=3.
% 0.13/0.35  
% 0.13/0.35  This is a Horn set with equality.  The strategy will be
% 0.13/0.35  Knuth-Bendix and hyper_res, with positive clauses in
% 0.13/0.35  sos and nonpositive clauses in usable.
% 0.13/0.35  
% 0.13/0.35     dependent: set(knuth_bendix).
% 0.13/0.35     dependent: set(para_from).
% 0.13/0.35     dependent: set(para_into).
% 0.13/0.35     dependent: clear(para_from_right).
% 0.13/0.35     dependent: clear(para_into_right).
% 0.13/0.35     dependent: set(para_from_vars).
% 0.13/0.35     dependent: set(eq_units_both_ways).
% 0.13/0.35     dependent: set(dynamic_demod_all).
% 0.13/0.35     dependent: set(dynamic_demod).
% 0.13/0.35     dependent: set(order_eq).
% 0.13/0.35     dependent: set(back_demod).
% 0.13/0.35     dependent: set(lrpo).
% 0.13/0.35     dependent: set(hyper_res).
% 0.13/0.35     dependent: clear(order_hyper).
% 0.13/0.35  
% 0.13/0.35  ------------> process usable:
% 0.13/0.35  
% 0.13/0.35  ------------> process sos:
% 0.13/0.35    Following clause subsumed by 12 during input processing: 0 [copy,12,flip.1] {-} A=A.
% 0.13/0.35  
% 0.13/0.35  ======= end of input processing =======
% 0.13/0.38  
% 0.13/0.38  Model 1 (0.00 seconds, 0 Inserts)
% 0.13/0.38  
% 0.13/0.38  Stopped by limit on number of solutions
% 0.13/0.38  
% 0.13/0.38  
% 0.13/0.38  -------------- Softie stats --------------
% 0.13/0.38  
% 0.13/0.38  UPDATE_STOP: 300
% 0.13/0.38  SFINDER_TIME_LIMIT: 2
% 0.13/0.38  SHORT_CLAUSE_CUTOFF: 4
% 0.13/0.38  number of clauses in intial UL: 3
% 0.13/0.38  number of clauses initially in problem: 11
% 0.13/0.38  percentage of clauses intially in UL: 27
% 0.13/0.38  percentage of distinct symbols occuring in initial UL: 77
% 0.13/0.38  percent of all initial clauses that are short: 100
% 0.13/0.38  absolute distinct symbol count: 9
% 0.13/0.38     distinct predicate count: 3
% 0.13/0.38     distinct function count: 3
% 0.13/0.38     distinct constant count: 3
% 0.13/0.38  
% 0.13/0.38  ---------- no more Softie stats ----------
% 0.13/0.38  
% 0.13/0.38  
% 0.13/0.38  
% 0.13/0.38  Model 2 (0.00 seconds, 0 Inserts)
% 0.13/0.38  
% 0.13/0.38  Stopped by limit on number of solutions
% 0.13/0.38  
% 0.13/0.38  =========== start of search ===========
% 1.46/1.65  
% 1.46/1.65  
% 1.46/1.65  Changing weight limit from 60 to 30.
% 1.46/1.65  
% 1.46/1.65  Model 3 (0.00 seconds, 0 Inserts)
% 1.46/1.65  
% 1.46/1.65  Stopped by limit on number of solutions
% 1.46/1.65  
% 1.46/1.65  Model 4 (0.00 seconds, 0 Inserts)
% 1.46/1.65  
% 1.46/1.65  Stopped by limit on number of solutions
% 1.46/1.65  
% 1.46/1.65  Stopped by limit on insertions
% 1.46/1.65  
% 1.46/1.65  Model 5 [ 21 1 123 ] (0.00 seconds, 250000 Inserts)
% 1.46/1.65  
% 1.46/1.65  Stopped by limit on insertions
% 1.46/1.65  
% 1.46/1.65  Model 6 [ 1 5 75845 ] (0.00 seconds, 250000 Inserts)
% 1.46/1.65  
% 1.46/1.65  Stopped by limit on insertions
% 1.46/1.65  
% 1.46/1.65  Model 7 [ 21 1 1640 ] (0.00 seconds, 250000 Inserts)
% 1.46/1.65  
% 1.46/1.65  Stopped by limit on insertions
% 1.46/1.65  
% 1.46/1.65  Model 8 [ 1 7 100522 ] (0.00 seconds, 250000 Inserts)
% 1.46/1.65  
% 1.46/1.65  Stopped by limit on insertions
% 1.46/1.65  
% 1.46/1.65  Model 9 [ 1 1 1912 ] (0.00 seconds, 250000 Inserts)
% 1.46/1.65  
% 1.46/1.65  Resetting weight limit to 30 after 205 givens.
% 1.46/1.65  
% 3.24/3.50  
% 3.24/3.50  
% 3.24/3.50  Changing weight limit from 30 to 26.
% 3.24/3.50  
% 3.24/3.50  Stopped by limit on insertions
% 3.24/3.50  
% 3.24/3.50  Model 10 [ 1 20 175582 ] (0.00 seconds, 250000 Inserts)
% 3.24/3.50  
% 3.24/3.50  Stopped by limit on insertions
% 3.24/3.50  
% 3.24/3.50  Model 11 [ 2 7 45619 ] (0.00 seconds, 250000 Inserts)
% 3.24/3.50  
% 3.24/3.50  Stopped by limit on insertions
% 3.24/3.50  
% 3.24/3.50  Model 12 [ 2 15 82326 ] (0.00 seconds, 250000 Inserts)
% 3.24/3.50  
% 3.24/3.50  Resetting weight limit to 26 after 220 givens.
% 3.24/3.50  
% 6.84/7.06  
% 6.84/7.06  
% 6.84/7.06  Changing weight limit from 26 to 24.
% 6.84/7.06  
% 6.84/7.06  Stopped by limit on insertions
% 6.84/7.06  
% 6.84/7.06  Model 13 [ 2 3 9355 ] (0.00 seconds, 250000 Inserts)
% 6.84/7.06  
% 6.84/7.06  Stopped by limit on insertions
% 6.84/7.06  
% 6.84/7.06  Model 14 [ 27 19 59303 ] (0.00 seconds, 250000 Inserts)
% 6.84/7.06  
% 6.84/7.06  Stopped by limit on insertions
% 6.84/7.06  
% 6.84/7.06  Model 15 [ 3 20 87022 ] (0.00 seconds, 250000 Inserts)
% 6.84/7.06  
% 6.84/7.06  Stopped by limit on insertions
% 6.84/7.06  
% 6.84/7.06  Model 16 [ 3 18 72500 ] (0.00 seconds, 250000 Inserts)
% 6.84/7.06  
% 6.84/7.06  Resetting weight limit to 24 after 225 givens.
% 6.84/7.06  
% 12.22/12.46  
% 12.22/12.46  
% 12.22/12.46  Changing weight limit from 24 to 22.
% 12.22/12.46  
% 12.22/12.46  Stopped by limit on insertions
% 12.22/12.46  
% 12.22/12.46  Model 17 [ 9 76 236756 ] (0.00 seconds, 250000 Inserts)
% 12.22/12.46  
% 12.22/12.46  Stopped by limit on insertions
% 12.22/12.46  
% 12.22/12.46  Model 18 [ 3 2 3507 ] (0.00 seconds, 250000 Inserts)
% 12.22/12.46  
% 12.22/12.46  Stopped by limit on insertions
% 12.22/12.46  
% 12.22/12.46  Model 19 [ 3 1 2612 ] (0.00 seconds, 250000 Inserts)
% 12.22/12.46  
% 12.22/12.46  Stopped by limit on insertions
% 12.22/12.46  
% 12.22/12.46  Model 20 [ 20 80 147602 ] (0.00 seconds, 250000 Inserts)
% 12.22/12.46  
% 12.22/12.46  Stopped by limit on insertions
% 12.22/12.46  
% 12.22/12.46  Model 21 [ 4 2 1272 ] (0.00 seconds, 250000 Inserts)
% 12.22/12.46  
% 12.22/12.46  Resetting weight limit to 22 after 270 givens.
% 12.22/12.46  
% 13.51/13.69  
% 13.51/13.69  
% 13.51/13.69  Changing weight limit from 22 to 21.
% 13.51/13.69  
% 13.51/13.69  Stopped by limit on insertions
% 13.51/13.69  
% 13.51/13.69  Model 22 [ 3 10 26378 ] (0.00 seconds, 250000 Inserts)
% 13.51/13.69  
% 13.51/13.69  Resetting weight limit to 21 after 315 givens.
% 13.51/13.69  
% 39.96/40.18  
% 39.96/40.18  
% 39.96/40.18  Changing weight limit from 21 to 18.
% 39.96/40.18  
% 39.96/40.18  Stopped by limit on insertions
% 39.96/40.18  
% 39.96/40.18  Model 23 [ 3 36 54611 ] (0.00 seconds, 250000 Inserts)
% 39.96/40.18  
% 39.96/40.18  Stopped by limit on insertions
% 39.96/40.18  
% 39.96/40.18  Model 24 [ 15 23 130465 ] (0.00 seconds, 250000 Inserts)
% 39.96/40.18  
% 39.96/40.18  Stopped by limit on insertions
% 39.96/40.18  
% 39.96/40.18  Stopped by limit on insertions
% 39.96/40.18  
% 39.96/40.18  Model 25 [ 32 129 154602 ] (0.00 seconds, 250000 Inserts)
% 39.96/40.18  
% 39.96/40.18  Stopped by limit on insertions
% 39.96/40.18  
% 39.96/40.18  Model 26 [ 31 72 186049 ] (0.00 seconds, 250000 Inserts)
% 39.96/40.18  
% 39.96/40.18  Stopped by limit on insertions
% 39.96/40.18  
% 39.96/40.18  Model 27 [ 36 191 225586 ] (0.00 seconds, 250000 Inserts)
% 39.96/40.18  
% 39.96/40.18  Stopped by limit on insertions
% 39.96/40.18  
% 39.96/40.18  Model 28 [ 4 6 3604 ] (0.00 seconds, 250000 Inserts)
% 39.96/40.18  
% 39.96/40.18  Stopped by limit on insertions
% 39.96/40.18  
% 39.96/40.18  Model 29 [ 21 42 83497 ] (0.00 seconds, 250000 Inserts)
% 39.96/40.18  
% 39.96/40.18  Stopped by limit on insertions
% 39.96/40.18  
% 39.96/40.18  Model 30 [ 15 5 466 ] (0.00 seconds, 250000 Inserts)
% 39.96/40.18  
% 39.96/40.18  Stopped by limit on insertions
% 39.96/40.18  
% 39.96/40.18  Model 31 [ 30 43 95476 ] (0.00 seconds, 250000 Inserts)
% 39.96/40.18  
% 39.96/40.18  Stopped by limit on insertions
% 39.96/40.18  
% 39.96/40.18  Stopped by limit on insertions
% 39.96/40.18  
% 39.96/40.18  Model 32 [ 35 10 4651 ] (0.00 seconds, 250000 Inserts)
% 39.96/40.18  
% 39.96/40.18  Stopped by limit on insertions
% 39.96/40.18  
% 39.96/40.18  Model 33 [ 48 260 230634 ] (0.00 seconds, 250000 Inserts)
% 39.96/40.18  
% 39.96/40.18  Stopped by limit on insertions
% 39.96/40.18  
% 39.96/40.18  Model 34 [ 24 36 154477 ] (0.00 seconds, 250000 Inserts)
% 39.96/40.18  
% 39.96/40.18  Stopped by limit on insertions
% 39.96/40.18  
% 39.96/40.18  Model 35 [ 52 40 28864 ] (0.00 seconds, 250000 Inserts)
% 39.96/40.18  
% 39.96/40.18  Resetting weight limit to 18 after 340 givens.
% 39.96/40.18  
% 50.76/50.94  
% 50.76/50.94  
% 50.76/50.94  Changing weight limit from 18 to 17.
% 50.76/50.94  
% 50.76/50.94  Stopped by limit on insertions
% 50.76/50.94  
% 50.76/50.94  Model 36 [ 4 50 28086 ] (0.00 seconds, 250000 Inserts)
% 50.76/50.94  
% 50.76/50.94  Stopped by limit on insertions
% 50.76/50.94  
% 50.76/50.94  Model 37 [ 66 254 195398 ] (0.00 seconds, 250000 Inserts)
% 50.76/50.94  
% 50.76/50.94  Stopped by limit on insertions
% 50.76/50.94  
% 50.76/50.94  Model 38 [ 5 96 60556 ] (0.00 seconds, 250000 Inserts)
% 50.76/50.94  
% 50.76/50.94  Resetting weight limit to 17 after 350 givens.
% 50.76/50.94  
% 51.04/51.25  
% 51.04/51.25  
% 51.04/51.25  Changing weight limit from 17 to 16.
% 51.04/51.25  
% 51.04/51.25  Modelling stopped after 300 given clauses and 0.00 seconds
% 51.04/51.25  
% 51.04/51.25  
% 51.04/51.25  Resetting weight limit to 16 after 440 givens.
% 51.04/51.25  
% 51.04/51.27  
% 51.04/51.27  
% 51.04/51.27  Changing weight limit from 16 to 15.
% 51.04/51.27  
% 51.04/51.27  Resetting weight limit to 15 after 445 givens.
% 51.04/51.27  
% 51.35/51.52  
% 51.35/51.52  
% 51.35/51.52  Changing weight limit from 15 to 14.
% 51.35/51.52  
% 51.35/51.52  Resetting weight limit to 14 after 495 givens.
% 51.35/51.52  
% 51.73/51.96  
% 51.73/51.96  
% 51.73/51.96  Changing weight limit from 14 to 13.
% 51.73/51.96  
% 51.73/51.96  Resetting weight limit to 13 after 645 givens.
% 51.73/51.96  
% 55.83/56.07  
% 55.83/56.07  -- HEY sandbox2, WE HAVE A PROOF!! -- 
% 55.83/56.07  
% 55.83/56.07  ----> UNIT CONFLICT at  55.25 sec ----> 58227 [binary,58226.1,3.1] {+} $F.
% 55.83/56.07  
% 55.83/56.07  Length of proof is 13.  Level of proof is 6.
% 55.83/56.07  
% 55.83/56.07  ---------------- PROOF ----------------
% 55.83/56.07  % SZS status Unsatisfiable
% 55.83/56.07  % SZS output start Refutation
% 55.83/56.07  
% 55.83/56.07  1 [] {+} theorem(A)| -axiom(A).
% 55.83/56.07  2 [] {+} theorem(A)| -theorem(implies(B,A))| -theorem(B).
% 55.83/56.07  3 [] {+} -theorem(implies(or(p,or(q,r)),or(or(p,q),r))).
% 55.83/56.07  6 [] {+} axiom(implies(or(A,B),or(B,A))).
% 55.83/56.07  7 [] {-} axiom(implies(or(A,or(B,C)),or(B,or(A,C)))).
% 55.83/56.07  8 [] {-} axiom(implies(implies(A,B),implies(or(C,A),or(C,B)))).
% 55.83/56.07  9 [] {-} implies(A,B)=or(not(A),B).
% 55.83/56.07  11,10 [copy,9,flip.1] {+} or(not(A),B)=implies(A,B).
% 55.83/56.07  15 [hyper,6,1] {+} theorem(implies(or(A,B),or(B,A))).
% 55.83/56.07  20 [hyper,7,1] {-} theorem(implies(or(A,or(B,C)),or(B,or(A,C)))).
% 55.83/56.07  31 [hyper,8,1] {-} theorem(implies(implies(A,B),implies(or(C,A),or(C,B)))).
% 55.83/56.07  39 [para_into,20.1.1.1.2,10.1.1,demod,11] {-} theorem(implies(or(A,implies(B,C)),implies(B,or(A,C)))).
% 55.83/56.07  40 [para_into,20.1.1.1,10.1.1,demod,11] {+} theorem(implies(implies(A,or(B,C)),or(B,implies(A,C)))).
% 55.83/56.07  56 [hyper,31,2,31] {-} theorem(implies(or(A,implies(B,C)),or(A,implies(or(D,B),or(D,C))))).
% 55.83/56.07  62 [hyper,31,2,15] {-} theorem(implies(or(A,or(B,C)),or(A,or(C,B)))).
% 55.83/56.07  428 [para_into,62.1.1.1,10.1.1,demod,11] {-} theorem(implies(implies(A,or(B,C)),implies(A,or(C,B)))).
% 55.83/56.07  605 [hyper,40,2,15] {+} theorem(or(A,implies(or(B,A),B))).
% 55.83/56.07  1312 [hyper,56,2,605] {-} theorem(or(A,implies(or(B,or(C,A)),or(B,C)))).
% 55.83/56.07  28693 [hyper,1312,2,39] {-} theorem(implies(or(A,or(B,C)),or(C,or(A,B)))).
% 55.83/56.07  58226 [hyper,28693,2,428] {-} theorem(implies(or(A,or(B,C)),or(or(A,B),C))).
% 55.83/56.07  58227 [binary,58226.1,3.1] {+} $F.
% 55.83/56.07  
% 55.83/56.07  % SZS output end Refutation
% 55.83/56.07  ------------ end of proof -------------
% 55.83/56.07  
% 55.83/56.07  
% 55.83/56.07  Search stopped by max_proofs option.
% 55.83/56.07  
% 55.83/56.07  
% 55.83/56.07  Search stopped by max_proofs option.
% 55.83/56.07  
% 55.83/56.07  ============ end of search ============
% 55.83/56.07  
% 55.83/56.07  ----------- soft-scott stats ----------
% 55.83/56.07  
% 55.83/56.07  true clauses given         851      (32.6%)
% 55.83/56.07  false clauses given       1756
% 55.83/56.07  
% 55.83/56.07        FALSE     TRUE
% 55.83/56.07    10  0         567
% 55.83/56.07    11  0         1715
% 55.83/56.07    12  360       239
% 55.83/56.07    13  2139      43
% 55.83/56.07  tot:  2499      2564      (50.6% true)
% 55.83/56.07  
% 55.83/56.07  
% 55.83/56.07  Model 38 [ 5 96 60556 ] (0.00 seconds, 250000 Inserts)
% 55.83/56.07  
% 55.83/56.07  That finishes the proof of the theorem.
% 55.83/56.07  
% 55.83/56.07  Process 25871 finished Mon Jul  4 10:34:04 2022
%------------------------------------------------------------------------------