TSTP Solution File: SYN128-1 by SOS---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SOS---2.0
% Problem  : SYN128-1 : TPTP v8.1.0. Released v1.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : sos-script %s

% Computer : n011.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 12:10:21 EDT 2022

% Result   : Unsatisfiable 18.71s 18.88s
% Output   : Refutation 18.71s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem  : SYN128-1 : TPTP v8.1.0. Released v1.1.0.
% 0.03/0.12  % Command  : sos-script %s
% 0.12/0.33  % Computer : n011.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
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Mon Jul 11 15:42:27 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.19/0.37  ----- Otter 3.2, August 2001 -----
% 0.19/0.37  The process was started by sandbox on n011.cluster.edu,
% 0.19/0.37  Mon Jul 11 15:42:27 2022
% 0.19/0.37  The command was "./sos".  The process ID is 19557.
% 0.19/0.37  
% 0.19/0.37  set(prolog_style_variables).
% 0.19/0.37  set(auto).
% 0.19/0.37     dependent: set(auto1).
% 0.19/0.37     dependent: set(process_input).
% 0.19/0.37     dependent: clear(print_kept).
% 0.19/0.37     dependent: clear(print_new_demod).
% 0.19/0.37     dependent: clear(print_back_demod).
% 0.19/0.37     dependent: clear(print_back_sub).
% 0.19/0.37     dependent: set(control_memory).
% 0.19/0.37     dependent: assign(max_mem, 12000).
% 0.19/0.37     dependent: assign(pick_given_ratio, 4).
% 0.19/0.37     dependent: assign(stats_level, 1).
% 0.19/0.37     dependent: assign(pick_semantic_ratio, 3).
% 0.19/0.37     dependent: assign(sos_limit, 5000).
% 0.19/0.37     dependent: assign(max_weight, 60).
% 0.19/0.37  clear(print_given).
% 0.19/0.37  
% 0.19/0.37  list(usable).
% 0.19/0.37  
% 0.19/0.37  SCAN INPUT: prop=0, horn=1, equality=0, symmetry=0, max_lits=5.
% 0.19/0.37  
% 0.19/0.37  This is a Horn set without equality.  The strategy will
% 0.19/0.37  be hyperresolution, with satellites in sos and nuclei
% 0.19/0.37  in usable.
% 0.19/0.37  
% 0.19/0.37     dependent: set(hyper_res).
% 0.19/0.37     dependent: clear(order_hyper).
% 0.19/0.37  
% 0.19/0.37  ------------> process usable:
% 0.19/0.37    Following clause subsumed by 13 during input processing: 0 [] {-} m1(A,A,A)| -q0(B,C)| -q0(B,A).
% 0.19/0.37    Following clause subsumed by 14 during input processing: 0 [] {-} m1(A,A,A)| -m0(B,C,A).
% 0.19/0.37    Following clause subsumed by 14 during input processing: 0 [] {-} m1(A,A,A)| -l0(A)| -k0(A)| -m0(A,A,A).
% 0.19/0.37    Following clause subsumed by 12 during input processing: 0 [] {-} m1(e,e,e)| -r0(e).
% 0.19/0.37    Following clause subsumed by 63 during input processing: 0 [] {-} p1(A,A,A)| -n0(e,b)| -k0(b)| -k0(A)| -k1(B).
% 0.19/0.37    Following clause subsumed by 64 during input processing: 0 [] {-} p1(A,A,B)| -p0(B,A)| -r0(A).
% 0.19/0.37    Following clause subsumed by 63 during input processing: 0 [] {-} p1(e,e,e)| -r0(e)| -k0(e).
% 0.19/0.37    Following clause subsumed by 88 during input processing: 0 [] {-} q1(A,A,A)| -s0(A)| -m0(B,B,C).
% 0.19/0.37    Following clause subsumed by 88 during input processing: 0 [] {-} q1(A,A,A)| -s0(A).
% 0.19/0.37    Following clause subsumed by 88 during input processing: 0 [] {-} q1(d,d,d)| -k0(e)| -s0(d).
% 0.19/0.37    Following clause subsumed by 105 during input processing: 0 [] {-} q1(b,b,b)| -r0(b).
% 0.19/0.37    Following clause subsumed by 99 during input processing: 0 [] {-} q1(A,A,A)| -m0(B,C,A).
% 0.19/0.37    Following clause subsumed by 99 during input processing: 0 [] {-} q1(A,A,A)| -m0(A,B,A).
% 0.19/0.37    Following clause subsumed by 105 during input processing: 0 [] {-} q1(A,A,A)| -m0(c,A,A)| -r0(A).
% 0.19/0.37    Following clause subsumed by 142 during input processing: 0 [] {-} p2(A,A,A)| -s1(A)| -k1(A).
% 0.19/0.37    Following clause subsumed by 224 during input processing: 0 [] {-} p3(A,A,A)| -n2(A)| -q2(B,C,A)| -s1(B).
% 0.19/0.37    Following clause subsumed by 224 during input processing: 0 [] {-} p3(A,A,A)| -k1(A)| -n2(A).
% 0.19/0.37  13 back subsumes 9.
% 0.19/0.37  14 back subsumes 6.
% 0.19/0.37  28 back subsumes 21.
% 0.19/0.37  28 back subsumes 17.
% 0.19/0.37  40 back subsumes 39.
% 0.19/0.37  52 back subsumes 51.
% 0.19/0.37  77 back subsumes 68.
% 0.19/0.37  77 back subsumes 65.
% 0.19/0.37  142 back subsumes 134.
% 0.19/0.37  194 back subsumes 180.
% 0.19/0.37  216 back subsumes 213.
% 0.19/0.37  216 back subsumes 212.
% 0.19/0.37  244 back subsumes 239.
% 0.19/0.37  
% 0.19/0.37  ------------> process sos:
% 0.19/0.37    Following clause subsumed by 321 during input processing: 0 [] {-} p0(b,c).
% 0.19/0.37    Following clause subsumed by 324 during input processing: 0 [] {-} q0(d,d).
% 0.19/0.37  321 back subsumes 317.
% 0.19/0.37  324 back subsumes 309.
% 0.19/0.37  326 back subsumes 315.
% 0.19/0.37  326 back subsumes 311.
% 0.19/0.37  
% 0.19/0.37  ======= end of input processing =======
% 0.19/0.48  
% 0.19/0.48  Model 1 (0.00 seconds, 0 Inserts)
% 0.19/0.48  
% 0.19/0.48  Stopped by limit on number of solutions
% 0.19/0.48  
% 0.19/0.48  
% 0.19/0.48  -------------- Softie stats --------------
% 0.19/0.48  
% 0.19/0.48  UPDATE_STOP: 300
% 0.19/0.48  SFINDER_TIME_LIMIT: 2
% 0.19/0.48  SHORT_CLAUSE_CUTOFF: 4
% 0.19/0.48  number of clauses in intial UL: 294
% 0.19/0.48  number of clauses initially in problem: 326
% 0.19/0.48  percentage of clauses intially in UL: 90
% 0.19/0.48  percentage of distinct symbols occuring in initial UL: 100
% 0.19/0.48  percent of all initial clauses that are short: 100
% 0.19/0.48  absolute distinct symbol count: 53
% 0.19/0.48     distinct predicate count: 48
% 0.19/0.48     distinct function count: 0
% 0.19/0.48     distinct constant count: 5
% 0.19/0.48  
% 0.19/0.48  ---------- no more Softie stats ----------
% 0.19/0.48  
% 0.19/0.48  
% 0.19/0.48  
% 0.19/0.48  Model 2 (0.00 seconds, 0 Inserts)
% 0.19/0.48  
% 0.19/0.48  Stopped by limit on number of solutions
% 0.19/0.48  
% 0.19/0.48  =========== start of search ===========
% 11.43/11.61  
% 11.43/11.61  Stopped by limit on insertions
% 11.43/11.61  
% 11.43/11.61  Stopped by limit on insertions
% 11.43/11.61  
% 11.43/11.61  Model 3 [ 1 2 5750 ] (0.00 seconds, 250000 Inserts)
% 11.43/11.61  
% 11.43/11.61  Model 4 (0.00 seconds, 250000 Inserts)
% 11.43/11.61  
% 11.43/11.61  Stopped by limit on number of solutions
% 11.43/11.61  
% 11.43/11.61  Stopped by limit on insertions
% 11.43/11.61  
% 11.43/11.61  Model 5 [ 3 3 8573 ] (0.00 seconds, 250000 Inserts)
% 11.43/11.61  
% 11.43/11.61  Stopped by limit on insertions
% 11.43/11.61  
% 11.43/11.61  Model 6 [ 1 2 8685 ] (0.00 seconds, 250000 Inserts)
% 11.43/11.61  
% 11.43/11.61  Stopped by limit on insertions
% 11.43/11.61  
% 11.43/11.61  Model 7 [ 4 2 3232 ] (0.00 seconds, 250000 Inserts)
% 11.43/11.61  
% 11.43/11.61  Stopped by limit on insertions
% 11.43/11.61  
% 11.43/11.61  Model 8 [ 3 2 6436 ] (0.00 seconds, 250000 Inserts)
% 11.43/11.61  
% 11.43/11.61  Stopped by limit on insertions
% 11.43/11.61  
% 11.43/11.61  Model 9 [ 5 2 8217 ] (0.00 seconds, 250000 Inserts)
% 11.43/11.61  
% 11.43/11.61  Stopped by limit on insertions
% 11.43/11.61  
% 11.43/11.61  Model 10 [ 2 3 10424 ] (0.00 seconds, 250000 Inserts)
% 11.43/11.61  
% 11.43/11.61  Model 11 (0.00 seconds, 250000 Inserts)
% 11.43/11.61  
% 11.43/11.61  Stopped by limit on number of solutions
% 11.43/11.61  
% 11.43/11.61  Stopped by limit on insertions
% 11.43/11.61  
% 11.43/11.61  Model 12 [ 2 3 13609 ] (0.00 seconds, 250000 Inserts)
% 11.43/11.61  
% 11.43/11.61  Stopped by limit on insertions
% 11.43/11.61  
% 11.43/11.61  Model 13 [ 5 3 9550 ] (0.00 seconds, 250000 Inserts)
% 11.43/11.61  
% 11.43/11.61  Stopped by limit on insertions
% 11.43/11.61  
% 11.43/11.61  Model 14 [ 5 2 6409 ] (0.00 seconds, 250000 Inserts)
% 11.43/11.61  
% 11.43/11.61  Stopped by limit on insertions
% 11.43/11.61  
% 11.43/11.61  Model 15 [ 10 2 5859 ] (0.00 seconds, 250000 Inserts)
% 11.43/11.61  
% 11.43/11.61  Stopped by limit on insertions
% 11.43/11.61  
% 11.43/11.61  Model 16 [ 10 2 8007 ] (0.00 seconds, 250000 Inserts)
% 11.43/11.61  
% 11.43/11.61  Stopped by limit on insertions
% 11.43/11.61  
% 11.43/11.61  Model 17 [ 9 2 7425 ] (0.00 seconds, 250000 Inserts)
% 11.43/11.62  
% 11.43/11.62  Stopped by limit on insertions
% 11.43/11.62  
% 11.43/11.62  Stopped by limit on insertions
% 11.43/11.62  
% 11.43/11.62  Model 18 [ 5 3 12573 ] (0.00 seconds, 250000 Inserts)
% 11.43/11.62  
% 11.43/11.62  Stopped by limit on insertions
% 11.43/11.62  
% 11.43/11.62  Model 19 [ 9 3 12512 ] (0.00 seconds, 250000 Inserts)
% 11.43/11.62  
% 11.43/11.62  Stopped by limit on insertions
% 11.43/11.62  
% 11.43/11.62  Model 20 [ 24 2 3871 ] (0.00 seconds, 250000 Inserts)
% 11.43/11.62  
% 11.43/11.62  Stopped by limit on insertions
% 11.43/11.62  
% 11.43/11.62  Model 21 [ 16 3 12566 ] (0.00 seconds, 250000 Inserts)
% 11.43/11.62  
% 11.43/11.62  Stopped by limit on insertions
% 11.43/11.62  
% 11.43/11.62  Model 22 [ 28 2 3361 ] (0.00 seconds, 250000 Inserts)
% 11.43/11.62  
% 11.43/11.62  Stopped by limit on insertions
% 11.43/11.62  
% 11.43/11.62  Model 23 [ 31 1 1635 ] (0.00 seconds, 250000 Inserts)
% 11.43/11.62  
% 11.43/11.62  Stopped by limit on insertions
% 11.43/11.62  
% 11.43/11.62  Model 24 [ 24 2 1254 ] (0.00 seconds, 250000 Inserts)
% 11.43/11.62  
% 11.43/11.62  Stopped by limit on insertions
% 11.43/11.62  
% 11.43/11.62  Model 25 [ 13 2 8854 ] (0.00 seconds, 250000 Inserts)
% 11.43/11.62  
% 11.43/11.62  Stopped by limit on insertions
% 11.43/11.62  
% 11.43/11.62  Model 26 [ 12 2 9499 ] (0.00 seconds, 250000 Inserts)
% 11.43/11.62  
% 11.43/11.62  Stopped by limit on insertions
% 11.43/11.62  
% 11.43/11.62  Model 27 [ 21 3 9740 ] (0.00 seconds, 250000 Inserts)
% 11.43/11.62  
% 11.43/11.62  Stopped by limit on insertions
% 11.43/11.62  
% 11.43/11.62  Model 28 [ 16 3 12509 ] (0.00 seconds, 250000 Inserts)
% 11.43/11.62  
% 11.43/11.62  Stopped by limit on insertions
% 11.43/11.62  
% 11.43/11.62  Stopped by limit on insertions
% 11.43/11.62  
% 11.43/11.62  Model 29 [ 26 1 2297 ] (0.00 seconds, 250000 Inserts)
% 11.43/11.62  
% 11.43/11.62  Stopped by limit on insertions
% 11.43/11.62  
% 11.43/11.62  Model 30 [ 33 2 3975 ] (0.00 seconds, 250000 Inserts)
% 11.43/11.62  
% 11.43/11.62  Stopped by limit on insertions
% 11.43/11.62  
% 11.43/11.62  Stopped by limit on insertions
% 11.43/11.62  
% 11.43/11.62  Model 31 [ 22 2 6672 ] (0.00 seconds, 250000 Inserts)
% 11.43/11.62  
% 11.43/11.62  Stopped by limit on insertions
% 11.43/11.62  
% 11.43/11.62  Model 32 [ 35 2 2952 ] (0.00 seconds, 250000 Inserts)
% 11.43/11.62  
% 11.43/11.62  Stopped by limit on insertions
% 11.43/11.62  
% 11.43/11.62  Model 33 [ 40 2 10736 ] (0.00 seconds, 250000 Inserts)
% 11.43/11.62  
% 11.43/11.62  Stopped by limit on insertions
% 11.43/11.62  
% 11.43/11.62  Model 34 [ 31 3 13842 ] (0.00 seconds, 250000 Inserts)
% 11.43/11.62  
% 11.43/11.62  Stopped by limit on insertions
% 11.43/11.62  
% 11.43/11.62  Model 35 [ 41 2 5503 ] (0.00 seconds, 250000 Inserts)
% 11.43/11.62  
% 11.43/11.62  Stopped by limit on insertions
% 11.43/11.62  
% 11.43/11.62  Model 36 [ 25 2 5659 ] (0.00 seconds, 250000 Inserts)
% 11.43/11.62  
% 11.43/11.62  Stopped by limit on insertions
% 11.43/11.62  
% 11.43/11.62  Model 37 [ 27 2 6883 ] (0.00 seconds, 250000 Inserts)
% 11.43/11.62  
% 11.43/11.62  Stopped by limit on insertions
% 11.43/11.62  
% 11.43/11.62  Model 38 [ 34 2 8756 ] (0.00 seconds, 250000 Inserts)
% 11.43/11.62  
% 11.43/11.62  Stopped by limit on insertions
% 11.43/11.62  
% 11.43/11.62  Stopped by limit on insertions
% 11.43/11.62  
% 11.43/11.62  Model 39 [ 28 2 9699 ] (0.00 seconds, 250000 Inserts)
% 11.43/11.62  
% 11.43/11.62  Stopped by limit on insertions
% 11.43/11.62  
% 11.43/11.62  Model 40 [ 25 2 6450 ] (0.00 seconds, 250000 Inserts)
% 11.43/11.62  
% 11.43/11.62  Stopped by limit on insertions
% 11.43/11.62  
% 11.43/11.62  Model 41 [ 47 2 8712 ] (0.00 seconds, 250000 Inserts)
% 11.43/11.62  
% 11.43/11.62  Stopped by limit on insertions
% 11.43/11.62  
% 11.43/11.62  Model 42 [ 29 2 8517 ] (0.00 seconds, 250000 Inserts)
% 11.43/11.62  
% 11.43/11.62  Stopped by limit on insertions
% 11.43/11.62  
% 11.43/11.62  Model 43 [ 23 3 8452 ] (0.00 seconds, 250000 Inserts)
% 11.43/11.62  
% 11.43/11.62  Stopped by limit on insertions
% 11.43/11.62  
% 11.43/11.62  Stopped by limit on insertions
% 11.43/11.62  
% 11.43/11.62  Model 44 [ 29 1 4704 ] (0.00 seconds, 250000 Inserts)
% 11.43/11.62  
% 11.43/11.62  Stopped by limit on insertions
% 11.43/11.62  
% 11.43/11.62  Model 45 [ 24 2 8568 ] (0.00 seconds, 250000 Inserts)
% 11.43/11.62  
% 11.43/11.62  Stopped by limit on insertions
% 11.43/11.62  
% 11.43/11.62  Model 46 [ 32 2 3750 ] (0.00 seconds, 250000 Inserts)
% 11.43/11.62  
% 11.43/11.62  Stopped by limit on insertions
% 11.43/11.62  
% 11.43/11.62  Model 47 [ 33 2 9316 ] (0.00 seconds, 250000 Inserts)
% 11.43/11.62  
% 18.71/18.88  Stopped by
% 18.71/18.88  -- HEY sandbox, WE HAVE A PROOF!! -- 
% 18.71/18.88   limit on insertions
% 18.71/18.88  
% 18.71/18.88  Model 48 [ 69 2 1937 ] (0.00 seconds, 250000 Inserts)
% 18.71/18.88  
% 18.71/18.88  Stopped by limit on insertions
% 18.71/18.88  
% 18.71/18.88  Model 49 [ 60 2 5968 ] (0.00 seconds, 250000 Inserts)
% 18.71/18.88  
% 18.71/18.88  Stopped by limit on insertions
% 18.71/18.88  
% 18.71/18.88  Model 50 [ 23 2 4226 ] (0.00 seconds, 250000 Inserts)
% 18.71/18.88  
% 18.71/18.88  Stopped by limit on insertions
% 18.71/18.88  
% 18.71/18.88  Model 51 [ 39 1 5313 ] (0.00 seconds, 250000 Inserts)
% 18.71/18.88  
% 18.71/18.88  Stopped by limit on insertions
% 18.71/18.88  
% 18.71/18.88  Stopped by limit on insertions
% 18.71/18.88  
% 18.71/18.88  Stopped by limit on insertions
% 18.71/18.88  
% 18.71/18.88  Model 52 [ 35 2 7285 ] (0.00 seconds, 250000 Inserts)
% 18.71/18.88  
% 18.71/18.88  Stopped by limit on insertions
% 18.71/18.88  
% 18.71/18.88  Model 53 [ 28 2 7204 ] (0.00 seconds, 250000 Inserts)
% 18.71/18.88  
% 18.71/18.88  Stopped by limit on insertions
% 18.71/18.88  
% 18.71/18.88  Model 54 [ 38 2 4263 ] (0.00 seconds, 250000 Inserts)
% 18.71/18.88  
% 18.71/18.88  Stopped by limit on insertions
% 18.71/18.88  
% 18.71/18.88  Stopped by limit on insertions
% 18.71/18.88  
% 18.71/18.88  Model 55 [ 36 2 7511 ] (0.00 seconds, 250000 Inserts)
% 18.71/18.88  
% 18.71/18.88  Stopped by limit on insertions
% 18.71/18.88  
% 18.71/18.88  Model 56 [ 31 2 5671 ] (0.00 seconds, 250000 Inserts)
% 18.71/18.88  
% 18.71/18.88  Stopped by limit on insertions
% 18.71/18.88  
% 18.71/18.88  Stopped by limit on insertions
% 18.71/18.88  
% 18.71/18.88  Model 57 [ 31 3 9373 ] (0.00 seconds, 250000 Inserts)
% 18.71/18.88  
% 18.71/18.88  Stopped by limit on insertions
% 18.71/18.88  
% 18.71/18.88  Model 58 [ 24 1 1944 ] (0.00 seconds, 250000 Inserts)
% 18.71/18.88  
% 18.71/18.88  Stopped by limit on insertions
% 18.71/18.88  
% 18.71/18.88  Model 59 [ 43 2 2562 ] (0.00 seconds, 250000 Inserts)
% 18.71/18.88  
% 18.71/18.88  Stopped by limit on insertions
% 18.71/18.88  
% 18.71/18.88  Model 60 [ 46 1 2237 ] (0.00 seconds, 250000 Inserts)
% 18.71/18.88  
% 18.71/18.88  Stopped by limit on insertions
% 18.71/18.88  
% 18.71/18.88  Model 61 [ 21 3 6128 ] (0.00 seconds, 250000 Inserts)
% 18.71/18.88  
% 18.71/18.88  Stopped by limit on insertions
% 18.71/18.88  
% 18.71/18.88  Stopped by limit on insertions
% 18.71/18.88  
% 18.71/18.88  Model 62 [ 36 2 2951 ] (0.00 seconds, 250000 Inserts)
% 18.71/18.88  
% 18.71/18.88  Stopped by limit on insertions
% 18.71/18.88  
% 18.71/18.88  Model 63 [ 39 2 6675 ] (0.00 seconds, 250000 Inserts)
% 18.71/18.88  
% 18.71/18.88  Stopped by limit on insertions
% 18.71/18.88  
% 18.71/18.88  Model 64 [ 29 3 7470 ] (0.00 seconds, 250000 Inserts)
% 18.71/18.88  
% 18.71/18.88  Stopped by limit on insertions
% 18.71/18.88  
% 18.71/18.88  Model 65 [ 18 4 12503 ] (0.00 seconds, 250000 Inserts)
% 18.71/18.88  
% 18.71/18.88  ----> UNIT CONFLICT at  18.48 sec ----> 698 [binary,697.1,307.1] {-} $F.
% 18.71/18.88  
% 18.71/18.88  Length of proof is 20.  Level of proof is 8.
% 18.71/18.88  
% 18.71/18.88  ---------------- PROOF ----------------
% 18.71/18.88  % SZS status Unsatisfiable
% 18.71/18.88  % SZS output start Refutation
% 18.71/18.88  
% 18.71/18.88  1 [] {+} k1(A)| -n0(B,A).
% 18.71/18.88  3 [] {+} l1(A,B)| -p0(C,A)| -r0(D)| -m0(B,A,C).
% 18.71/18.88  64 [] {+} p1(A,A,B)| -p0(B,A).
% 18.71/18.88  98 [] {+} q1(A,A,B)| -p0(C,C)| -q0(B,A)| -k1(A).
% 18.71/18.88  108 [] {+} r1(A)| -q0(A,B)| -s0(d)| -q1(d,B,d).
% 18.71/18.88  109 [] {+} s1(A)| -p0(A,A).
% 18.71/18.88  110 [] {+} s1(A)| -q0(A,B)| -s1(C).
% 18.71/18.88  115 [] {+} l2(A,B)| -s1(A)| -n0(e,B)| -l2(B,B).
% 18.71/18.88  116 [] {+} l2(A,A)| -p0(B,B)| -s1(C)| -m0(D,C,A).
% 18.71/18.88  118 [] {+} m2(A)| -s0(A)| -l1(B,C).
% 18.71/18.88  165 [] {+} q2(A,c,B)| -k1(B)| -l0(c)| -l2(B,A).
% 18.71/18.88  172 [] {+} s2(d)| -s1(a)| -s0(d).
% 18.71/18.88  182 [] {+} k3(A,A,B)| -p1(B,C,A)| -m2(D)| -m2(C).
% 18.71/18.88  205 [] {+} m3(A,B,A)| -m0(C,C,B)| -l2(D,A)| -m0(A,D,D)| -s2(C).
% 18.71/18.88  226 [] {+} p3(A,A,A)| -l2(A,A).
% 18.71/18.88  254 [] {+} l4(A)| -p3(B,C,A).
% 18.71/18.88  271 [] {+} q4(A,B)| -k3(C,C,A)| -q2(D,B,A)| -m3(D,E,D).
% 18.71/18.88  272 [] {+} q4(A,A)| -r1(A)| -l4(B)| -q4(B,C).
% 18.71/18.88  278 [] {+} l5(A)| -q4(B,B)| -k1(A).
% 18.71/18.88  307 [] {+} -l5(c).
% 18.71/18.88  308 [] {+} s0(d).
% 18.71/18.88  318 [] {+} n0(e,b).
% 18.71/18.88  320 [] {+} r0(e).
% 18.71/18.88  321 [] {+} p0(b,A).
% 18.71/18.88  324 [] {+} q0(A,d).
% 18.71/18.88  326 [] {+} m0(A,d,B).
% 18.71/18.88  330 [] {+} l0(c).
% 18.71/18.88  331 [] {-} n0(d,c).
% 18.71/18.88  339 [] {+} n0(c,d).
% 18.71/18.88  343 [] {+} m0(b,a,a).
% 18.71/18.88  372 [hyper,321,109] {+} s1(b).
% 18.71/18.88  379 [hyper,321,64] {+} p1(A,A,b).
% 18.71/18.88  396 [hyper,324,110,372] {+} s1(A).
% 18.71/18.88  400 [hyper,396,172,308] {+} s2(d).
% 18.71/18.88  409 [hyper,331,1] {+} k1(c).
% 18.71/18.88  411 [hyper,326,116,321,396] {+} l2(A,A).
% 18.71/18.88  421 [hyper,326,3,321,320] {+} l1(d,A).
% 18.71/18.88  427 [hyper,339,1] {+} k1(d).
% 18.71/18.88  431 [hyper,421,118,308] {+} m2(d).
% 18.71/18.88  432 [hyper,427,98,321,324] {+} q1(d,d,A).
% 18.71/18.88  461 [hyper,411,226] {+} p3(A,A,A).
% 18.71/18.88  472 [hyper,411,115,396,318] {+} l2(A,b).
% 18.71/18.88  484 [hyper,472,205,326,343,400] {+} m3(b,A,b).
% 18.71/18.88  486 [hyper,472,165,427,330] {+} q2(b,c,d).
% 18.71/18.88  495 [hyper,379,182,431,431] {+} k3(b,b,d).
% 18.71/18.88  535 [hyper,432,108,324,308] {+} r1(A).
% 18.71/18.88  615 [hyper,461,254] {+} l4(A).
% 18.71/18.88  684 [hyper,495,271,486,484] {+} q4(d,c).
% 18.71/18.88  692 [hyper,684,272,535,615] {+} q4(A,A).
% 18.71/18.88  697 [hyper,692,278,409] {-} l5(c).
% 18.71/18.88  698 [binary,697.1,307.1] {-} $F.
% 18.71/18.88  
% 18.71/18.88  % SZS output end Refutation
% 18.71/18.88  ------------ end of proof -------------
% 18.71/18.88  
% 18.71/18.88  
% 18.71/18.88  Search stopped by max_proofs option.
% 18.71/18.88  
% 18.71/18.88  
% 18.71/18.88  Search stopped by max_proofs option.
% 18.71/18.88  
% 18.71/18.88  ============ end of search ============
% 18.71/18.88  
% 18.71/18.88  ----------- soft-scott stats ----------
% 18.71/18.88  
% 18.71/18.88  true clauses given         126      (62.4%)
% 18.71/18.88  false clauses given         76
% 18.71/18.88  
% 18.71/18.88        FALSE     TRUE
% 18.71/18.88     4  0         93
% 18.71/18.88  tot:  0         93      (100.0% true)
% 18.71/18.88  
% 18.71/18.88  
% 18.71/18.88  Model 65 [ 18 4 12503 ] (0.00 seconds, 250000 Inserts)
% 18.71/18.88  
% 18.71/18.88  That finishes the proof of the theorem.
% 18.71/18.88  
% 18.71/18.88  Process 19557 finished Mon Jul 11 15:42:46 2022
%------------------------------------------------------------------------------