TSTP Solution File: SYN268-1 by SOS---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SOS---2.0
% Problem  : SYN268-1 : TPTP v8.1.0. Released v1.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : sos-script %s

% Computer : n010.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 12:11:18 EDT 2022

% Result   : Unsatisfiable 12.20s 12.41s
% Output   : Refutation 12.20s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SYN268-1 : TPTP v8.1.0. Released v1.1.0.
% 0.07/0.12  % Command  : sos-script %s
% 0.12/0.33  % Computer : n010.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 12:19:00 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.12/0.37  ----- Otter 3.2, August 2001 -----
% 0.12/0.37  The process was started by sandbox on n010.cluster.edu,
% 0.12/0.37  Mon Jul 11 12:19:00 2022
% 0.12/0.37  The command was "./sos".  The process ID is 10899.
% 0.12/0.37  
% 0.12/0.37  set(prolog_style_variables).
% 0.12/0.37  set(auto).
% 0.12/0.37     dependent: set(auto1).
% 0.12/0.37     dependent: set(process_input).
% 0.12/0.37     dependent: clear(print_kept).
% 0.12/0.37     dependent: clear(print_new_demod).
% 0.12/0.37     dependent: clear(print_back_demod).
% 0.12/0.37     dependent: clear(print_back_sub).
% 0.12/0.37     dependent: set(control_memory).
% 0.12/0.37     dependent: assign(max_mem, 12000).
% 0.12/0.37     dependent: assign(pick_given_ratio, 4).
% 0.12/0.37     dependent: assign(stats_level, 1).
% 0.12/0.37     dependent: assign(pick_semantic_ratio, 3).
% 0.12/0.37     dependent: assign(sos_limit, 5000).
% 0.12/0.37     dependent: assign(max_weight, 60).
% 0.12/0.37  clear(print_given).
% 0.12/0.37  
% 0.12/0.37  list(usable).
% 0.12/0.37  
% 0.12/0.37  SCAN INPUT: prop=0, horn=1, equality=0, symmetry=0, max_lits=5.
% 0.12/0.37  
% 0.12/0.37  This is a Horn set without equality.  The strategy will
% 0.12/0.37  be hyperresolution, with satellites in sos and nuclei
% 0.12/0.37  in usable.
% 0.12/0.37  
% 0.12/0.37     dependent: set(hyper_res).
% 0.12/0.37     dependent: clear(order_hyper).
% 0.12/0.37  
% 0.12/0.37  ------------> process usable:
% 0.12/0.37    Following clause subsumed by 13 during input processing: 0 [] {-} m1(A,A,A)| -q0(B,C)| -q0(B,A).
% 0.12/0.37    Following clause subsumed by 14 during input processing: 0 [] {-} m1(A,A,A)| -m0(B,C,A).
% 0.12/0.37    Following clause subsumed by 14 during input processing: 0 [] {-} m1(A,A,A)| -l0(A)| -k0(A)| -m0(A,A,A).
% 0.12/0.37    Following clause subsumed by 12 during input processing: 0 [] {-} m1(e,e,e)| -r0(e).
% 0.12/0.37    Following clause subsumed by 63 during input processing: 0 [] {-} p1(A,A,A)| -n0(e,b)| -k0(b)| -k0(A)| -k1(B).
% 0.12/0.37    Following clause subsumed by 64 during input processing: 0 [] {-} p1(A,A,B)| -p0(B,A)| -r0(A).
% 0.12/0.37    Following clause subsumed by 63 during input processing: 0 [] {-} p1(e,e,e)| -r0(e)| -k0(e).
% 0.12/0.37    Following clause subsumed by 88 during input processing: 0 [] {-} q1(A,A,A)| -s0(A)| -m0(B,B,C).
% 0.12/0.37    Following clause subsumed by 88 during input processing: 0 [] {-} q1(A,A,A)| -s0(A).
% 0.12/0.37    Following clause subsumed by 88 during input processing: 0 [] {-} q1(d,d,d)| -k0(e)| -s0(d).
% 0.12/0.37    Following clause subsumed by 105 during input processing: 0 [] {-} q1(b,b,b)| -r0(b).
% 0.12/0.37    Following clause subsumed by 99 during input processing: 0 [] {-} q1(A,A,A)| -m0(B,C,A).
% 0.12/0.37    Following clause subsumed by 99 during input processing: 0 [] {-} q1(A,A,A)| -m0(A,B,A).
% 0.12/0.37    Following clause subsumed by 105 during input processing: 0 [] {-} q1(A,A,A)| -m0(c,A,A)| -r0(A).
% 0.12/0.37    Following clause subsumed by 142 during input processing: 0 [] {-} p2(A,A,A)| -s1(A)| -k1(A).
% 0.12/0.37    Following clause subsumed by 224 during input processing: 0 [] {-} p3(A,A,A)| -n2(A)| -q2(B,C,A)| -s1(B).
% 0.12/0.37    Following clause subsumed by 224 during input processing: 0 [] {-} p3(A,A,A)| -k1(A)| -n2(A).
% 0.12/0.37  13 back subsumes 9.
% 0.12/0.37  14 back subsumes 6.
% 0.12/0.37  28 back subsumes 21.
% 0.12/0.37  28 back subsumes 17.
% 0.12/0.37  40 back subsumes 39.
% 0.12/0.37  52 back subsumes 51.
% 0.12/0.37  77 back subsumes 68.
% 0.12/0.37  77 back subsumes 65.
% 0.12/0.37  142 back subsumes 134.
% 0.12/0.37  194 back subsumes 180.
% 0.12/0.37  216 back subsumes 213.
% 0.12/0.37  216 back subsumes 212.
% 0.12/0.37  244 back subsumes 239.
% 0.12/0.37  
% 0.12/0.37  ------------> process sos:
% 0.12/0.37    Following clause subsumed by 321 during input processing: 0 [] {-} p0(b,c).
% 0.12/0.37    Following clause subsumed by 324 during input processing: 0 [] {-} q0(d,d).
% 0.12/0.37  321 back subsumes 317.
% 0.12/0.37  324 back subsumes 309.
% 0.12/0.37  326 back subsumes 315.
% 0.12/0.37  326 back subsumes 311.
% 0.12/0.37  
% 0.12/0.37  ======= end of input processing =======
% 0.19/0.47  
% 0.19/0.47  Model 1 (0.00 seconds, 0 Inserts)
% 0.19/0.47  
% 0.19/0.47  Stopped by limit on number of solutions
% 0.19/0.47  
% 0.19/0.47  
% 0.19/0.47  -------------- Softie stats --------------
% 0.19/0.47  
% 0.19/0.47  UPDATE_STOP: 300
% 0.19/0.47  SFINDER_TIME_LIMIT: 2
% 0.19/0.47  SHORT_CLAUSE_CUTOFF: 4
% 0.19/0.47  number of clauses in intial UL: 294
% 0.19/0.47  number of clauses initially in problem: 326
% 0.19/0.47  percentage of clauses intially in UL: 90
% 0.19/0.47  percentage of distinct symbols occuring in initial UL: 100
% 0.19/0.47  percent of all initial clauses that are short: 100
% 0.19/0.47  absolute distinct symbol count: 53
% 0.19/0.47     distinct predicate count: 48
% 0.19/0.47     distinct function count: 0
% 0.19/0.47     distinct constant count: 5
% 0.19/0.47  
% 0.19/0.47  ---------- no more Softie stats ----------
% 0.19/0.47  
% 0.19/0.47  
% 0.19/0.47  
% 0.19/0.47  =========== start of search ===========
% 10.34/10.53  
% 10.34/10.53  Stopped by limit on insertions
% 10.34/10.53  
% 10.34/10.53  Model 2 [ 6 1 1814 ] (0.00 seconds, 250000 Inserts)
% 10.34/10.53  
% 10.34/10.53  Stopped by limit on insertions
% 10.34/10.53  
% 10.34/10.53  Model 3 [ 7 2 2712 ] (0.00 seconds, 250000 Inserts)
% 10.34/10.53  
% 10.34/10.53  Stopped by limit on insertions
% 10.34/10.53  
% 10.34/10.53  Model 4 [ 7 2 3673 ] (0.00 seconds, 250000 Inserts)
% 10.34/10.53  
% 10.34/10.53  Stopped by limit on insertions
% 10.34/10.53  
% 10.34/10.53  Model 5 [ 15 1 2669 ] (0.00 seconds, 250000 Inserts)
% 10.34/10.53  
% 10.34/10.53  Stopped by limit on insertions
% 10.34/10.53  
% 10.34/10.53  Model 6 [ 18 2 1795 ] (0.00 seconds, 250000 Inserts)
% 10.34/10.53  
% 10.34/10.53  Stopped by limit on insertions
% 10.34/10.53  
% 10.34/10.53  Model 7 [ 21 2 3423 ] (0.00 seconds, 250000 Inserts)
% 10.34/10.53  
% 10.34/10.53  Stopped by limit on insertions
% 10.34/10.53  
% 10.34/10.53  Model 8 [ 23 2 3599 ] (0.00 seconds, 250000 Inserts)
% 10.34/10.53  
% 10.34/10.53  Stopped by limit on insertions
% 10.34/10.53  
% 10.34/10.53  Model 9 [ 24 2 7235 ] (0.00 seconds, 250000 Inserts)
% 10.34/10.53  
% 10.34/10.53  Stopped by limit on insertions
% 10.34/10.53  
% 10.34/10.53  Model 10 [ 36 2 4397 ] (0.00 seconds, 250000 Inserts)
% 10.34/10.53  
% 10.34/10.53  Stopped by limit on insertions
% 10.34/10.53  
% 10.34/10.53  Model 11 [ 40 1 2375 ] (0.00 seconds, 250000 Inserts)
% 10.34/10.53  
% 10.34/10.53  Stopped by limit on insertions
% 10.34/10.53  
% 10.34/10.53  Model 12 [ 49 2 4783 ] (0.00 seconds, 250000 Inserts)
% 10.34/10.53  
% 10.34/10.53  Stopped by limit on insertions
% 10.34/10.53  
% 10.34/10.53  Model 13 [ 47 2 3205 ] (0.00 seconds, 250000 Inserts)
% 10.34/10.53  
% 10.34/10.53  Stopped by limit on insertions
% 10.34/10.53  
% 10.34/10.53  Model 14 [ 47 2 5548 ] (0.00 seconds, 250000 Inserts)
% 10.34/10.53  
% 10.34/10.53  Stopped by limit on insertions
% 10.34/10.53  
% 10.34/10.53  Model 15 [ 50 2 5986 ] (0.00 seconds, 250000 Inserts)
% 10.34/10.53  
% 10.34/10.53  Stopped by limit on insertions
% 10.34/10.53  
% 10.34/10.53  Model 16 [ 57 1 1458 ] (0.00 seconds, 250000 Inserts)
% 10.34/10.53  
% 10.34/10.53  Stopped by limit on insertions
% 10.34/10.53  
% 10.34/10.53  Model 17 [ 60 1 3657 ] (0.00 seconds, 250000 Inserts)
% 10.34/10.53  
% 10.34/10.53  Stopped by limit on insertions
% 10.34/10.53  
% 10.34/10.53  Model 18 [ 57 1 4546 ] (0.00 seconds, 250000 Inserts)
% 10.34/10.53  
% 10.34/10.53  Stopped by limit on insertions
% 10.34/10.53  
% 10.34/10.53  Model 19 [ 58 2 3526 ] (0.00 seconds, 250000 Inserts)
% 10.34/10.53  
% 10.34/10.53  Stopped by limit on insertions
% 10.34/10.53  
% 10.34/10.53  Model 20 [ 58 2 3321 ] (0.00 seconds, 250000 Inserts)
% 10.34/10.53  
% 10.34/10.53  Stopped by limit on insertions
% 10.34/10.53  
% 10.34/10.53  Model 21 [ 56 1 2439 ] (0.00 seconds, 250000 Inserts)
% 10.34/10.53  
% 10.34/10.53  Stopped by limit on insertions
% 10.34/10.53  
% 10.34/10.53  Model 22 [ 60 2 3446 ] (0.00 seconds, 250000 Inserts)
% 10.34/10.53  
% 10.34/10.53  Stopped by limit on insertions
% 10.34/10.53  
% 10.34/10.53  Model 23 [ 55 2 3299 ] (0.00 seconds, 250000 Inserts)
% 10.34/10.53  
% 10.34/10.53  Stopped by limit on insertions
% 10.34/10.53  
% 10.34/10.53  Model 24 [ 67 2 6255 ] (0.00 seconds, 250000 Inserts)
% 10.34/10.53  
% 10.34/10.53  Stopped by limit on insertions
% 10.34/10.53  
% 10.34/10.53  Model 25 [ 60 2 5601 ] (0.00 seconds, 250000 Inserts)
% 10.34/10.53  
% 10.34/10.53  Stopped by limit on insertions
% 10.34/10.53  
% 10.34/10.53  Model 26 [ 66 1 2355 ] (0.00 seconds, 250000 Inserts)
% 10.34/10.53  
% 10.34/10.53  Stopped by limit on insertions
% 10.34/10.53  
% 10.34/10.53  Model 27 [ 54 2 4432 ] (0.00 seconds, 250000 Inserts)
% 10.34/10.53  
% 10.34/10.53  Stopped by limit on insertions
% 10.34/10.53  
% 10.34/10.53  Model 28 [ 86 1 2423 ] (0.00 seconds, 250000 Inserts)
% 10.34/10.53  
% 10.34/10.53  Stopped by limit on insertions
% 10.34/10.53  
% 10.34/10.53  Model 29 [ 79 2 3806 ] (0.00 seconds, 250000 Inserts)
% 10.34/10.53  
% 10.34/10.53  Stopped by limit on insertions
% 10.34/10.53  
% 10.34/10.53  Model 30 [ 66 2 5372 ] (0.00 seconds, 250000 Inserts)
% 10.34/10.53  
% 10.34/10.53  Stopped by limit on insertions
% 10.34/10.53  
% 10.34/10.53  Model 31 [ 71 2 4937 ] (0.00 seconds, 250000 Inserts)
% 10.34/10.53  
% 10.34/10.53  Stopped by limit on insertions
% 10.34/10.53  
% 10.34/10.53  Model 32 [ 85 1 1191 ] (0.00 seconds, 250000 Inserts)
% 10.34/10.53  
% 10.34/10.53  Stopped by limit on insertions
% 10.34/10.53  
% 10.34/10.53  Model 33 [ 87 2 5020 ] (0.00 seconds, 250000 Inserts)
% 10.34/10.53  
% 10.34/10.53  Stopped by limit on insertions
% 10.34/10.53  
% 10.34/10.53  Model 34 [ 80 2 5751 ] (0.00 seconds, 250000 Inserts)
% 10.34/10.53  
% 10.34/10.53  Stopped by limit on insertions
% 10.34/10.53  
% 10.34/10.53  Model 35 [ 76 2 3762 ] (0.00 seconds, 250000 Inserts)
% 10.34/10.53  
% 10.34/10.53  Stopped by limit on insertions
% 10.34/10.53  
% 10.34/10.53  Model 36 [ 85 1 3454 ] (0.00 seconds, 250000 Inserts)
% 10.34/10.53  
% 10.34/10.53  Stopped by limit on insertions
% 10.34/10.53  
% 10.34/10.53  Model 37 [ 78 1 2671 ] (0.00 seconds, 250000 Inserts)
% 10.34/10.53  
% 10.34/10.53  Stopped by limit on insertions
% 10.34/10.53  
% 10.34/10.53  Model 38 [ 83 2 6869 ] (0.00 seconds, 250000 Inserts)
% 10.34/10.53  
% 10.34/10.53  Stopped by limit on insertions
% 10.34/10.53  
% 10.34/10.53  Model 39 [ 72 2 5662 ] (0.00 seconds, 250000 Inserts)
% 10.34/10.53  
% 10.34/10.53  Stopped by limit on insertions
% 10.34/10.53  
% 10.34/10.53  Model 40 [ 93 2 3889 ] (0.00 seconds, 250000 Inserts)
% 10.34/10.53  
% 10.34/10.53  Stopped by limit on insertions
% 10.34/10.53  
% 10.34/10.53  Model 41 [ 80 1 4856 ] (0.00 seconds, 250000 Inserts)
% 10.34/10.53  
% 10.34/10.53  Stopped by limit on insertions
% 10.34/10.53  
% 10.34/10.53  Model 42 [ 77 2 3375 ] (0.00 seconds, 250000 Inserts)
% 10.34/10.53  
% 10.34/10.53  Stopped by limit on insertions
% 10.34/10.53  
% 10.34/10.53  Model 43 [ 94 2 11528 ] (0.00 seconds, 250000 Inserts)
% 10.34/10.53  
% 10.34/10.53  Stopped by limit on insertions
% 10.34/10.53  
% 10.34/10.53  Model 44 [ 79 2 6048 ] (0.00 seconds, 250000 Inserts)
% 10.34/10.53  
% 10.34/10.53  Stopped by limit on insertions
% 10.34/10.53  
% 10.34/10.53  Model 45 [ 94 1 3110 ] (0.00 seconds, 250000 Inserts)
% 10.34/10.53  
% 10.34/10.53  Stopped by limit on insertions
% 10.34/10.53  
% 10.34/10.53  Model 46 [ 77 1 5367 ] (0.00 seconds, 250000 Inserts)
% 10.34/10.53  
% 10.34/10.53  Stopped by limit on insertions
% 10.34/10.53  
% 10.34/10.53  Model 47 [ 91 2 4175 ] (0.00 seconds, 250000 Inserts)
% 10.34/10.53  
% 10.34/10.53  Stopped by limit on insertions
% 10.34/10.53  
% 10.34/10.53  Model 48 [ 83 2 4941 ] (0.00 seconds, 250000 Inserts)
% 10.34/10.53  
% 12.20/12.41  Stopped by limit
% 12.20/12.41  -- HEY sandbox, WE HAVE A PROOF!! -- 
% 12.20/12.41   on insertions
% 12.20/12.41  
% 12.20/12.41  Model 49 [ 106 1 3153 ] (0.00 seconds, 250000 Inserts)
% 12.20/12.41  
% 12.20/12.41  Stopped by limit on insertions
% 12.20/12.41  
% 12.20/12.41  Model 50 [ 95 2 5030 ] (0.00 seconds, 250000 Inserts)
% 12.20/12.41  
% 12.20/12.41  Stopped by limit on insertions
% 12.20/12.41  
% 12.20/12.41  Model 51 [ 120 1 2778 ] (0.00 seconds, 250000 Inserts)
% 12.20/12.41  
% 12.20/12.41  Stopped by limit on insertions
% 12.20/12.41  
% 12.20/12.41  Model 52 [ 123 2 3605 ] (0.00 seconds, 250000 Inserts)
% 12.20/12.41  
% 12.20/12.41  Stopped by limit on insertions
% 12.20/12.41  
% 12.20/12.41  Model 53 [ 99 2 6788 ] (0.00 seconds, 250000 Inserts)
% 12.20/12.41  
% 12.20/12.41  Stopped by limit on insertions
% 12.20/12.41  
% 12.20/12.41  Model 54 [ 133 1 3437 ] (0.00 seconds, 250000 Inserts)
% 12.20/12.41  
% 12.20/12.41  Stopped by limit on insertions
% 12.20/12.41  
% 12.20/12.41  Model 55 [ 107 3 9774 ] (0.00 seconds, 250000 Inserts)
% 12.20/12.41  
% 12.20/12.41  Stopped by limit on insertions
% 12.20/12.41  
% 12.20/12.41  Model 56 [ 136 2 3651 ] (0.00 seconds, 250000 Inserts)
% 12.20/12.41  
% 12.20/12.41  Stopped by limit on insertions
% 12.20/12.41  
% 12.20/12.41  Model 57 [ 107 2 3972 ] (0.00 seconds, 250000 Inserts)
% 12.20/12.41  
% 12.20/12.41  Stopped by limit on insertions
% 12.20/12.41  
% 12.20/12.41  Model 58 [ 98 2 4621 ] (0.00 seconds, 250000 Inserts)
% 12.20/12.41  
% 12.20/12.41  Stopped by limit on insertions
% 12.20/12.41  
% 12.20/12.41  Model 59 [ 165 2 3010 ] (0.00 seconds, 250000 Inserts)
% 12.20/12.41  
% 12.20/12.41  Stopped by limit on insertions
% 12.20/12.41  
% 12.20/12.41  Model 60 [ 116 2 5117 ] (0.00 seconds, 250000 Inserts)
% 12.20/12.41  
% 12.20/12.41  ----> UNIT CONFLICT at  12.03 sec ----> 581 [binary,580.1,307.1] {-} $F.
% 12.20/12.41  
% 12.20/12.41  Length of proof is 5.  Level of proof is 5.
% 12.20/12.41  
% 12.20/12.41  ---------------- PROOF ----------------
% 12.20/12.41  % SZS status Unsatisfiable
% 12.20/12.41  % SZS output start Refutation
% 12.20/12.41  
% 12.20/12.41  109 [] {+} s1(A)| -p0(A,A).
% 12.20/12.41  110 [] {+} s1(A)| -q0(A,B)| -s1(C).
% 12.20/12.41  116 [] {+} l2(A,A)| -p0(B,B)| -s1(C)| -m0(D,C,A).
% 12.20/12.41  226 [] {+} p3(A,A,A)| -l2(A,A).
% 12.20/12.41  267 [] {+} p4(A,A,A)| -p3(B,B,A).
% 12.20/12.41  307 [] {+} -p4(a,A,B).
% 12.20/12.41  321 [] {-} p0(b,A).
% 12.20/12.42  324 [] {-} q0(A,d).
% 12.20/12.42  326 [] {-} m0(A,d,B).
% 12.20/12.42  375 [hyper,321,109] {+} s1(b).
% 12.20/12.42  396 [hyper,324,110,375] {+} s1(A).
% 12.20/12.42  406 [hyper,326,116,321,396] {-} l2(A,A).
% 12.20/12.42  457 [hyper,406,226] {-} p3(A,A,A).
% 12.20/12.42  580 [hyper,457,267] {-} p4(A,A,A).
% 12.20/12.42  581 [binary,580.1,307.1] {-} $F.
% 12.20/12.42  
% 12.20/12.42  % SZS output end Refutation
% 12.20/12.42  ------------ end of proof -------------
% 12.20/12.42  
% 12.20/12.42  
% 12.20/12.42  Search stopped by max_proofs option.
% 12.20/12.42  
% 12.20/12.42  
% 12.20/12.42  Search stopped by max_proofs option.
% 12.20/12.42  
% 12.20/12.42  ============ end of search ============
% 12.20/12.42  
% 12.20/12.42  ----------- soft-scott stats ----------
% 12.20/12.42  
% 12.20/12.42  true clauses given          11      (8.9%)
% 12.20/12.42  false clauses given        113
% 12.20/12.42  
% 12.20/12.42        FALSE     TRUE
% 12.20/12.42     4  33        46
% 12.20/12.42  tot:  33        46      (58.2% true)
% 12.20/12.42  
% 12.20/12.42  
% 12.20/12.42  Model 60 [ 116 -15 5117 ] (0.00 seconds, 250000 Inserts)
% 12.20/12.42  
% 12.20/12.42  That finishes the proof of the theorem.
% 12.20/12.42  
% 12.20/12.42  Process 10899 finished Mon Jul 11 12:19:12 2022
%------------------------------------------------------------------------------