TSTP Solution File: SYN252-1 by SOS---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SOS---2.0
% Problem  : SYN252-1 : TPTP v8.1.0. Released v1.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : sos-script %s

% Computer : n024.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 : Thu Jul 21 12:11:12 EDT 2022

% Result   : Unsatisfiable 27.04s 27.29s
% Output   : Refutation 27.04s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SYN252-1 : TPTP v8.1.0. Released v1.1.0.
% 0.07/0.13  % Command  : sos-script %s
% 0.13/0.34  % Computer : n024.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 : Tue Jul 12 07:54:13 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 n024.cluster.edu,
% 0.20/0.38  Tue Jul 12 07:54:13 2022
% 0.20/0.38  The command was "./sos".  The process ID is 14735.
% 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  list(usable).
% 0.20/0.38  
% 0.20/0.38  SCAN INPUT: prop=0, horn=1, equality=0, symmetry=0, max_lits=5.
% 0.20/0.38  
% 0.20/0.38  This is a Horn set without equality.  The strategy will
% 0.20/0.38  be hyperresolution, with satellites in sos and nuclei
% 0.20/0.38  in usable.
% 0.20/0.38  
% 0.20/0.38     dependent: set(hyper_res).
% 0.20/0.38     dependent: clear(order_hyper).
% 0.20/0.38  
% 0.20/0.38  ------------> process usable:
% 0.20/0.38    Following clause subsumed by 13 during input processing: 0 [] {-} m1(A,A,A)| -q0(B,C)| -q0(B,A).
% 0.20/0.38    Following clause subsumed by 14 during input processing: 0 [] {-} m1(A,A,A)| -m0(B,C,A).
% 0.20/0.38    Following clause subsumed by 14 during input processing: 0 [] {-} m1(A,A,A)| -l0(A)| -k0(A)| -m0(A,A,A).
% 0.20/0.38    Following clause subsumed by 12 during input processing: 0 [] {-} m1(e,e,e)| -r0(e).
% 0.20/0.38    Following clause subsumed by 63 during input processing: 0 [] {-} p1(A,A,A)| -n0(e,b)| -k0(b)| -k0(A)| -k1(B).
% 0.20/0.38    Following clause subsumed by 64 during input processing: 0 [] {-} p1(A,A,B)| -p0(B,A)| -r0(A).
% 0.20/0.38    Following clause subsumed by 63 during input processing: 0 [] {-} p1(e,e,e)| -r0(e)| -k0(e).
% 0.20/0.38    Following clause subsumed by 88 during input processing: 0 [] {-} q1(A,A,A)| -s0(A)| -m0(B,B,C).
% 0.20/0.38    Following clause subsumed by 88 during input processing: 0 [] {-} q1(A,A,A)| -s0(A).
% 0.20/0.38    Following clause subsumed by 88 during input processing: 0 [] {-} q1(d,d,d)| -k0(e)| -s0(d).
% 0.20/0.38    Following clause subsumed by 105 during input processing: 0 [] {-} q1(b,b,b)| -r0(b).
% 0.20/0.38    Following clause subsumed by 99 during input processing: 0 [] {-} q1(A,A,A)| -m0(B,C,A).
% 0.20/0.38    Following clause subsumed by 99 during input processing: 0 [] {-} q1(A,A,A)| -m0(A,B,A).
% 0.20/0.38    Following clause subsumed by 105 during input processing: 0 [] {-} q1(A,A,A)| -m0(c,A,A)| -r0(A).
% 0.20/0.38    Following clause subsumed by 142 during input processing: 0 [] {-} p2(A,A,A)| -s1(A)| -k1(A).
% 0.20/0.38    Following clause subsumed by 224 during input processing: 0 [] {-} p3(A,A,A)| -n2(A)| -q2(B,C,A)| -s1(B).
% 0.20/0.38    Following clause subsumed by 224 during input processing: 0 [] {-} p3(A,A,A)| -k1(A)| -n2(A).
% 0.20/0.38  13 back subsumes 9.
% 0.20/0.38  14 back subsumes 6.
% 0.20/0.38  28 back subsumes 21.
% 0.20/0.38  28 back subsumes 17.
% 0.20/0.38  40 back subsumes 39.
% 0.20/0.38  52 back subsumes 51.
% 0.20/0.38  77 back subsumes 68.
% 0.20/0.38  77 back subsumes 65.
% 0.20/0.38  142 back subsumes 134.
% 0.20/0.38  194 back subsumes 180.
% 0.20/0.38  216 back subsumes 213.
% 0.20/0.38  216 back subsumes 212.
% 0.20/0.38  244 back subsumes 239.
% 0.20/0.38  
% 0.20/0.38  ------------> process sos:
% 0.20/0.38    Following clause subsumed by 321 during input processing: 0 [] {-} p0(b,c).
% 0.20/0.38    Following clause subsumed by 324 during input processing: 0 [] {-} q0(d,d).
% 0.20/0.38  321 back subsumes 317.
% 0.20/0.38  324 back subsumes 309.
% 0.20/0.38  326 back subsumes 315.
% 0.20/0.38  326 back subsumes 311.
% 0.20/0.38  
% 0.20/0.38  ======= end of input processing =======
% 0.20/0.51  
% 0.20/0.51  Model 1 (0.00 seconds, 0 Inserts)
% 0.20/0.51  
% 0.20/0.51  Stopped by limit on number of solutions
% 0.20/0.51  
% 0.20/0.51  
% 0.20/0.51  -------------- Softie stats --------------
% 0.20/0.51  
% 0.20/0.51  UPDATE_STOP: 300
% 0.20/0.51  SFINDER_TIME_LIMIT: 2
% 0.20/0.51  SHORT_CLAUSE_CUTOFF: 4
% 0.20/0.51  number of clauses in intial UL: 294
% 0.20/0.51  number of clauses initially in problem: 326
% 0.20/0.51  percentage of clauses intially in UL: 90
% 0.20/0.51  percentage of distinct symbols occuring in initial UL: 100
% 0.20/0.51  percent of all initial clauses that are short: 100
% 0.20/0.51  absolute distinct symbol count: 53
% 0.20/0.51     distinct predicate count: 48
% 0.20/0.51     distinct function count: 0
% 0.20/0.51     distinct constant count: 5
% 0.20/0.51  
% 0.20/0.51  ---------- no more Softie stats ----------
% 0.20/0.51  
% 0.20/0.51  
% 0.20/0.51  
% 0.20/0.51  Model 2 (0.00 seconds, 0 Inserts)
% 0.20/0.51  
% 0.20/0.51  Stopped by limit on number of solutions
% 0.20/0.51  
% 0.20/0.51  =========== start of search ===========
% 14.67/14.86  
% 14.67/14.86  Model 3 (0.00 seconds, 0 Inserts)
% 14.67/14.86  
% 14.67/14.86  Stopped by limit on number of solutions
% 14.67/14.86  
% 14.67/14.86  Stopped by limit on insertions
% 14.67/14.86  
% 14.67/14.86  Model 4 [ 1 3 5205 ] (0.00 seconds, 250000 Inserts)
% 14.67/14.86  
% 14.67/14.86  Stopped by limit on insertions
% 14.67/14.86  
% 14.67/14.86  Stopped by limit on insertions
% 14.67/14.86  
% 14.67/14.86  Stopped by limit on insertions
% 14.67/14.86  
% 14.67/14.86  Model 5 [ 2 3 8670 ] (0.00 seconds, 250000 Inserts)
% 14.67/14.86  
% 14.67/14.86  Stopped by limit on insertions
% 14.67/14.86  
% 14.67/14.86  Stopped by limit on insertions
% 14.67/14.86  
% 14.67/14.86  Stopped by limit on insertions
% 14.67/14.86  
% 14.67/14.86  Stopped by limit on insertions
% 14.67/14.86  
% 14.67/14.86  Model 6 [ 6 2 7044 ] (0.00 seconds, 250000 Inserts)
% 14.67/14.86  
% 14.67/14.86  Stopped by limit on insertions
% 14.67/14.86  
% 14.67/14.86  Model 7 [ 4 2 10204 ] (0.00 seconds, 250000 Inserts)
% 14.67/14.86  
% 14.67/14.86  Stopped by limit on insertions
% 14.67/14.86  
% 14.67/14.86  Stopped by limit on insertions
% 14.67/14.86  
% 14.67/14.86  Model 8 [ 7 2 7292 ] (0.00 seconds, 250000 Inserts)
% 14.67/14.86  
% 14.67/14.86  Stopped by limit on insertions
% 14.67/14.86  
% 14.67/14.86  Model 9 [ 7 2 5411 ] (0.00 seconds, 250000 Inserts)
% 14.67/14.86  
% 14.67/14.86  Stopped by limit on insertions
% 14.67/14.86  
% 14.67/14.86  Model 10 [ 8 3 10287 ] (0.00 seconds, 250000 Inserts)
% 14.67/14.86  
% 14.67/14.86  Stopped by limit on insertions
% 14.67/14.86  
% 14.67/14.86  Model 11 [ 9 3 12098 ] (0.00 seconds, 250000 Inserts)
% 14.67/14.86  
% 14.67/14.86  Stopped by limit on insertions
% 14.67/14.86  
% 14.67/14.86  Model 12 [ 11 2 9993 ] (0.00 seconds, 250000 Inserts)
% 14.67/14.86  
% 14.67/14.86  Stopped by limit on insertions
% 14.67/14.86  
% 14.67/14.86  Model 13 [ 10 3 12936 ] (0.00 seconds, 250000 Inserts)
% 14.67/14.86  
% 14.67/14.86  Stopped by limit on insertions
% 14.67/14.86  
% 14.67/14.86  Stopped by limit on insertions
% 14.67/14.86  
% 14.67/14.86  Stopped by limit on insertions
% 14.67/14.86  
% 14.67/14.86  Model 14 [ 14 2 4074 ] (0.00 seconds, 250000 Inserts)
% 14.67/14.86  
% 14.67/14.86  Stopped by limit on insertions
% 14.67/14.86  
% 14.67/14.86  Model 15 [ 16 2 9373 ] (0.00 seconds, 250000 Inserts)
% 14.67/14.86  
% 14.67/14.86  Stopped by limit on insertions
% 14.67/14.86  
% 14.67/14.86  Model 16 [ 15 2 8791 ] (0.00 seconds, 250000 Inserts)
% 14.67/14.86  
% 14.67/14.86  Stopped by limit on insertions
% 14.67/14.86  
% 14.67/14.86  Stopped by limit on insertions
% 14.67/14.86  
% 14.67/14.86  Stopped by limit on insertions
% 14.67/14.86  
% 14.67/14.86  Stopped by limit on insertions
% 14.67/14.86  
% 14.67/14.86  Stopped by limit on insertions
% 14.67/14.86  
% 14.67/14.86  Model 17 [ 24 2 5908 ] (0.00 seconds, 250000 Inserts)
% 14.67/14.86  
% 14.67/14.86  Stopped by limit on insertions
% 14.67/14.86  
% 14.67/14.86  Model 18 [ 15 2 6619 ] (0.00 seconds, 250000 Inserts)
% 14.67/14.86  
% 14.67/14.86  Stopped by limit on insertions
% 14.67/14.86  
% 14.67/14.86  Model 19 [ 26 2 8225 ] (0.00 seconds, 250000 Inserts)
% 14.67/14.86  
% 14.67/14.86  Stopped by limit on insertions
% 14.67/14.86  
% 14.67/14.86  Model 20 [ 28 3 14366 ] (0.00 seconds, 250000 Inserts)
% 14.67/14.86  
% 14.67/14.86  Stopped by limit on insertions
% 14.67/14.86  
% 14.67/14.86  Stopped by limit on insertions
% 14.67/14.86  
% 14.67/14.86  Model 21 [ 38 2 4287 ] (0.00 seconds, 250000 Inserts)
% 14.67/14.86  
% 14.67/14.86  Stopped by limit on insertions
% 14.67/14.86  
% 14.67/14.86  Model 22 [ 26 3 12605 ] (0.00 seconds, 250000 Inserts)
% 14.67/14.86  
% 14.67/14.86  Stopped by limit on insertions
% 14.67/14.86  
% 14.67/14.86  Stopped by limit on insertions
% 14.67/14.86  
% 14.67/14.86  Stopped by limit on insertions
% 14.67/14.86  
% 14.67/14.86  Stopped by limit on insertions
% 14.67/14.86  
% 14.67/14.86  Model 23 [ 22 4 17324 ] (0.00 seconds, 250000 Inserts)
% 14.67/14.86  
% 14.67/14.86  Stopped by limit on insertions
% 14.67/14.86  
% 14.67/14.86  Model 24 [ 33 2 9853 ] (0.00 seconds, 250000 Inserts)
% 14.67/14.86  
% 14.67/14.86  Stopped by limit on insertions
% 14.67/14.86  
% 14.67/14.86  Stopped by limit on insertions
% 14.67/14.86  
% 14.67/14.86  Model 25 [ 34 3 14201 ] (0.00 seconds, 250000 Inserts)
% 14.67/14.86  
% 14.67/14.86  Stopped by limit on insertions
% 14.67/14.86  
% 14.67/14.86  Stopped by limit on insertions
% 14.67/14.86  
% 14.67/14.86  Stopped by limit on insertions
% 14.67/14.86  
% 14.67/14.86  Stopped by limit on insertions
% 14.67/14.86  
% 14.67/14.86  Stopped by limit on insertions
% 14.67/14.86  
% 14.67/14.86  Model 26 [ 23 2 7347 ] (0.00 seconds, 250000 Inserts)
% 14.67/14.86  
% 14.67/14.86  Stopped by limit on insertions
% 14.67/14.86  
% 14.67/14.86  Stopped by limit on insertions
% 14.67/14.86  
% 14.67/14.86  Stopped by limit on insertions
% 14.67/14.86  
% 14.67/14.86  Stopped by limit on insertions
% 14.67/14.86  
% 14.67/14.86  Model 27 [ 29 2 9421 ] (0.00 seconds, 250000 Inserts)
% 14.67/14.86  
% 14.67/14.86  Stopped by limit on insertions
% 14.67/14.86  
% 14.67/14.86  Stopped by limit on insertions
% 14.67/14.86  
% 14.67/14.86  Stopped by limit on insertions
% 14.67/14.86  
% 14.67/14.86  Model 28 [ 30 2 11621 ] (0.00 seconds, 250000 Inserts)
% 14.67/14.86  
% 14.67/14.86  Stopped by limit on insertions
% 14.67/14.86  
% 14.67/14.86  Stopped by limit on insertions
% 14.67/14.86  
% 14.67/14.86  Stopped by limit on insertions
% 14.67/14.86  
% 14.67/14.86  Stopped by limit on insertions
% 14.67/14.86  
% 14.67/14.86  Model 29 [ 29 3 15101 ] (0.00 seconds, 250000 Inserts)
% 14.67/14.86  
% 14.67/14.86  Stopped by limit on insertions
% 14.67/14.86  
% 14.67/14.86  Stopped by limit on insertions
% 14.67/14.86  
% 14.67/14.86  Stopped by limit on insertions
% 14.67/14.86  
% 14.67/14.86  Stopped by limit on insertions
% 14.67/14.86  
% 14.67/14.86  Model 30 [ 30 5 25093 ] (0.00 seconds, 250000 Inserts)
% 14.67/14.86  
% 14.67/14.86  Stopped by limit on insertions
% 14.67/14.86  
% 14.67/14.86  Stopped by limit on insertions
% 14.67/14.86  
% 14.67/14.86  Model 31 [ 27 3 11998 ] (0.00 seconds, 250000 Inserts)
% 14.67/14.86  
% 14.67/14.86  Stopped by limit on insertions
% 14.67/14.86  
% 14.67/14.86  Stopped by limit on insertions
% 14.67/14.86  
% 14.67/14.86  Stopped by limit on insertions
% 14.67/14.86  
% 14.67/14.86  Stopped by limit on insertions
% 14.67/14.86  
% 14.67/14.86  Stopped by limit on insertions
% 14.67/14.86  
% 14.67/14.86  Stopped by limit on insertions
% 14.67/14.86  
% 14.67/14.86  Model 32 [ 39 2 5944 ] (0.00 seconds, 250000 Inserts)
% 14.67/14.86  
% 14.67/14.86  Stopped by limit on insertions
% 14.67/14.86  
% 14.67/14.86  Stopped by limit on insertions
% 14.67/14.86  
% 14.67/14.86  Model 33 [ 38 3 10286 ] (0.00 seconds, 250000 Inserts)
% 14.67/14.86  
% 14.67/14.86  Stopped by limit on insertions
% 14.67/14.86  
% 14.67/14.86  Stopped by limit on insertions
% 14.67/14.86  
% 14.67/14.86  Model 34 [ 32 1 3349 ] (0.00 seconds, 250000 Inserts)
% 14.67/14.86  
% 14.67/14.86  Stopped by limit on insertions
% 14.67/14.86  
% 27.04/27.29  Stopped by 
% 27.04/27.29  -- HEY sandbox, WE HAVE A PROOF!! -- 
% 27.04/27.29  limit on insertions
% 27.04/27.29  
% 27.04/27.29  Model 35 [ 37 2 5805 ] (0.00 seconds, 250000 Inserts)
% 27.04/27.29  
% 27.04/27.29  Stopped by limit on insertions
% 27.04/27.29  
% 27.04/27.29  Model 36 [ 38 2 5472 ] (0.00 seconds, 250000 Inserts)
% 27.04/27.29  
% 27.04/27.29  Stopped by limit on insertions
% 27.04/27.29  
% 27.04/27.29  Model 37 [ 33 3 18040 ] (0.00 seconds, 250000 Inserts)
% 27.04/27.29  
% 27.04/27.29  Stopped by limit on insertions
% 27.04/27.29  
% 27.04/27.29  Stopped by limit on insertions
% 27.04/27.29  
% 27.04/27.29  Model 38 [ 52 4 16239 ] (0.00 seconds, 250000 Inserts)
% 27.04/27.29  
% 27.04/27.29  Stopped by limit on insertions
% 27.04/27.29  
% 27.04/27.29  Model 39 [ 44 4 9840 ] (0.00 seconds, 250000 Inserts)
% 27.04/27.29  
% 27.04/27.29  Stopped by limit on insertions
% 27.04/27.29  
% 27.04/27.29  Model 40 [ 33 4 6944 ] (0.00 seconds, 250000 Inserts)
% 27.04/27.29  
% 27.04/27.29  Stopped by limit on insertions
% 27.04/27.29  
% 27.04/27.29  Model 41 [ 39 7 17982 ] (0.00 seconds, 250000 Inserts)
% 27.04/27.29  
% 27.04/27.29  Stopped by limit on insertions
% 27.04/27.29  
% 27.04/27.29  Model 42 [ 37 5 11113 ] (0.00 seconds, 250000 Inserts)
% 27.04/27.29  
% 27.04/27.29  Stopped by limit on insertions
% 27.04/27.29  
% 27.04/27.29  Model 43 [ 29 8 22109 ] (0.00 seconds, 250000 Inserts)
% 27.04/27.29  
% 27.04/27.29  Stopped by limit on insertions
% 27.04/27.29  
% 27.04/27.29  Stopped by limit on insertions
% 27.04/27.29  
% 27.04/27.29  Stopped by limit on insertions
% 27.04/27.29  
% 27.04/27.29  Model 44 [ 40 5 9002 ] (0.00 seconds, 250000 Inserts)
% 27.04/27.29  
% 27.04/27.29  Stopped by limit on insertions
% 27.04/27.29  
% 27.04/27.29  Model 45 [ 54 5 9291 ] (0.00 seconds, 250000 Inserts)
% 27.04/27.29  
% 27.04/27.29  Stopped by limit on insertions
% 27.04/27.29  
% 27.04/27.29  Stopped by limit on insertions
% 27.04/27.29  
% 27.04/27.29  Model 46 [ 24 4 7187 ] (0.00 seconds, 250000 Inserts)
% 27.04/27.29  
% 27.04/27.29  Stopped by limit on insertions
% 27.04/27.29  
% 27.04/27.29  Stopped by limit on insertions
% 27.04/27.29  
% 27.04/27.29  Model 47 [ 45 4 6800 ] (0.00 seconds, 250000 Inserts)
% 27.04/27.29  
% 27.04/27.29  Stopped by limit on insertions
% 27.04/27.29  
% 27.04/27.29  Stopped by limit on insertions
% 27.04/27.29  
% 27.04/27.29  Model 48 [ 40 4 10218 ] (0.00 seconds, 250000 Inserts)
% 27.04/27.29  
% 27.04/27.29  Stopped by limit on insertions
% 27.04/27.29  
% 27.04/27.29  Model 49 [ 39 5 11618 ] (0.00 seconds, 250000 Inserts)
% 27.04/27.29  
% 27.04/27.29  Stopped by limit on insertions
% 27.04/27.29  
% 27.04/27.29  Model 50 [ 45 5 9413 ] (0.00 seconds, 250000 Inserts)
% 27.04/27.29  
% 27.04/27.29  Stopped by limit on insertions
% 27.04/27.29  
% 27.04/27.29  Model 51 [ 33 7 18549 ] (0.00 seconds, 250000 Inserts)
% 27.04/27.29  
% 27.04/27.29  Stopped by limit on insertions
% 27.04/27.29  
% 27.04/27.29  Stopped by limit on insertions
% 27.04/27.29  
% 27.04/27.29  Model 52 [ 45 3 5158 ] (0.00 seconds, 250000 Inserts)
% 27.04/27.29  
% 27.04/27.29  Stopped by limit on insertions
% 27.04/27.29  
% 27.04/27.29  Stopped by limit on insertions
% 27.04/27.29  
% 27.04/27.29  Model 53 [ 40 4 6610 ] (0.00 seconds, 250000 Inserts)
% 27.04/27.29  
% 27.04/27.29  Stopped by limit on insertions
% 27.04/27.29  
% 27.04/27.29  Stopped by limit on insertions
% 27.04/27.29  
% 27.04/27.29  Stopped by limit on insertions
% 27.04/27.29  
% 27.04/27.29  Stopped by limit on insertions
% 27.04/27.29  
% 27.04/27.29  Model 54 [ 53 3 6604 ] (0.00 seconds, 250000 Inserts)
% 27.04/27.29  
% 27.04/27.29  ----> UNIT CONFLICT at  26.87 sec ----> 645 [binary,644.1,307.1] {+} $F.
% 27.04/27.29  
% 27.04/27.29  Length of proof is 13.  Level of proof is 6.
% 27.04/27.29  
% 27.04/27.29  ---------------- PROOF ----------------
% 27.04/27.29  % SZS status Unsatisfiable
% 27.04/27.29  % SZS output start Refutation
% 27.04/27.29  
% 27.04/27.29  2 [] {+} l1(A,A)| -n0(B,A).
% 27.04/27.29  45 [] {+} n1(A,B,A)| -s0(b)| -l0(A)| -p0(b,B).
% 27.04/27.29  49 [] {+} n1(A,B,B)| -l0(C)| -l1(C,A)| -n1(A,B,A).
% 27.04/27.29  64 [] {+} p1(A,A,B)| -p0(B,A).
% 27.04/27.29  77 [] {+} p1(A,A,A)| -p0(B,A).
% 27.04/27.29  109 [] {+} s1(A)| -p0(A,A).
% 27.04/27.29  110 [] {+} s1(A)| -q0(A,B)| -s1(C).
% 27.04/27.29  116 [] {+} l2(A,A)| -p0(B,B)| -s1(C)| -m0(D,C,A).
% 27.04/27.29  159 [] {+} q2(A,B,B)| -k0(B)| -p1(A,A,A).
% 27.04/27.29  164 [] {+} q2(A,B,A)| -p1(A,A,C)| -n1(B,A,C)| -q2(B,C,A).
% 27.04/27.29  171 [] {+} s2(A)| -q2(b,A,b)| -s1(b).
% 27.04/27.29  251 [] {+} s3(A,B)| -q2(C,A,C)| -s2(A)| -m0(C,D,B).
% 27.04/27.29  256 [] {+} m4(A,B)| -l2(C,B)| -s3(a,A).
% 27.04/27.29  307 [] {+} -m4(A,d).
% 27.04/27.29  312 [] {+} s0(b).
% 27.04/27.29  321 [] {+} p0(b,A).
% 27.04/27.29  324 [] {+} q0(A,d).
% 27.04/27.29  326 [] {+} m0(A,d,B).
% 27.04/27.29  327 [] {+} l0(a).
% 27.04/27.29  337 [] {-} k0(b).
% 27.04/27.29  342 [] {+} n0(b,a).
% 27.04/27.29  380 [hyper,321,109] {-} s1(b).
% 27.04/27.29  387 [hyper,321,77] {+} p1(A,A,A).
% 27.04/27.29  388 [hyper,321,64] {+} p1(A,A,b).
% 27.04/27.29  390 [hyper,321,45,312,327] {-} n1(a,A,a).
% 27.04/27.29  401 [hyper,380,110,324] {-} s1(A).
% 27.04/27.29  417 [hyper,326,116,321,401] {-} l2(A,A).
% 27.04/27.29  443 [hyper,342,2] {-} l1(a,a).
% 27.04/27.29  518 [hyper,390,49,327,443] {-} n1(a,A,A).
% 27.04/27.29  520 [hyper,387,159,337] {-} q2(A,b,b).
% 27.04/27.29  587 [hyper,520,164,388,518] {-} q2(b,a,b).
% 27.04/27.29  626 [hyper,587,171,401] {-} s2(a).
% 27.04/27.29  629 [hyper,626,251,587,326] {+} s3(a,A).
% 27.04/27.29  644 [hyper,629,256,417] {-} m4(A,B).
% 27.04/27.29  645 [binary,644.1,307.1] {+} $F.
% 27.04/27.29  
% 27.04/27.29  % SZS output end Refutation
% 27.04/27.29  ------------ end of proof -------------
% 27.04/27.29  
% 27.04/27.29  
% 27.04/27.29  Search stopped by max_proofs option.
% 27.04/27.29  
% 27.04/27.29  
% 27.04/27.29  Search stopped by max_proofs option.
% 27.04/27.29  
% 27.04/27.29  ============ end of search ============
% 27.04/27.29  
% 27.04/27.29  ----------- soft-scott stats ----------
% 27.04/27.29  
% 27.04/27.29  true clauses given          37      (26.1%)
% 27.04/27.29  false clauses given        105
% 27.04/27.29  
% 27.04/27.29        FALSE     TRUE
% 27.04/27.29     3  3         6
% 27.04/27.29     4  22        81
% 27.04/27.29  tot:  25        87      (77.7% true)
% 27.04/27.29  
% 27.04/27.29  
% 27.04/27.29  Model 54 [ 53 3 6604 ] (0.00 seconds, 250000 Inserts)
% 27.04/27.29  
% 27.04/27.29  That finishes the proof of the theorem.
% 27.04/27.29  
% 27.04/27.29  Process 14735 finished Tue Jul 12 07:54:40 2022
%------------------------------------------------------------------------------