TSTP Solution File: SYN137-1 by SOS---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SOS---2.0
% Problem  : SYN137-1 : 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 12:10:25 EDT 2022

% Result   : Unsatisfiable 12.14s 12.39s
% Output   : Refutation 12.14s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11  % Problem  : SYN137-1 : TPTP v8.1.0. Released v1.1.0.
% 0.11/0.12  % Command  : sos-script %s
% 0.12/0.33  % Computer : n024.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 21:28:43 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.18/0.37  ----- Otter 3.2, August 2001 -----
% 0.18/0.37  The process was started by sandbox on n024.cluster.edu,
% 0.18/0.37  Mon Jul 11 21:28:43 2022
% 0.18/0.37  The command was "./sos".  The process ID is 8923.
% 0.18/0.37  
% 0.18/0.37  set(prolog_style_variables).
% 0.18/0.37  set(auto).
% 0.18/0.37     dependent: set(auto1).
% 0.18/0.37     dependent: set(process_input).
% 0.18/0.37     dependent: clear(print_kept).
% 0.18/0.37     dependent: clear(print_new_demod).
% 0.18/0.37     dependent: clear(print_back_demod).
% 0.18/0.37     dependent: clear(print_back_sub).
% 0.18/0.37     dependent: set(control_memory).
% 0.18/0.37     dependent: assign(max_mem, 12000).
% 0.18/0.37     dependent: assign(pick_given_ratio, 4).
% 0.18/0.37     dependent: assign(stats_level, 1).
% 0.18/0.37     dependent: assign(pick_semantic_ratio, 3).
% 0.18/0.37     dependent: assign(sos_limit, 5000).
% 0.18/0.37     dependent: assign(max_weight, 60).
% 0.18/0.37  clear(print_given).
% 0.18/0.37  
% 0.18/0.37  list(usable).
% 0.18/0.37  
% 0.18/0.37  SCAN INPUT: prop=0, horn=1, equality=0, symmetry=0, max_lits=5.
% 0.18/0.37  
% 0.18/0.37  This is a Horn set without equality.  The strategy will
% 0.18/0.37  be hyperresolution, with satellites in sos and nuclei
% 0.18/0.37  in usable.
% 0.18/0.37  
% 0.18/0.37     dependent: set(hyper_res).
% 0.18/0.37     dependent: clear(order_hyper).
% 0.18/0.37  
% 0.18/0.37  ------------> process usable:
% 0.18/0.37    Following clause subsumed by 13 during input processing: 0 [] {-} m1(A,A,A)| -q0(B,C)| -q0(B,A).
% 0.18/0.37    Following clause subsumed by 14 during input processing: 0 [] {-} m1(A,A,A)| -m0(B,C,A).
% 0.18/0.37    Following clause subsumed by 14 during input processing: 0 [] {-} m1(A,A,A)| -l0(A)| -k0(A)| -m0(A,A,A).
% 0.18/0.37    Following clause subsumed by 12 during input processing: 0 [] {-} m1(e,e,e)| -r0(e).
% 0.18/0.37    Following clause subsumed by 63 during input processing: 0 [] {-} p1(A,A,A)| -n0(e,b)| -k0(b)| -k0(A)| -k1(B).
% 0.18/0.37    Following clause subsumed by 64 during input processing: 0 [] {-} p1(A,A,B)| -p0(B,A)| -r0(A).
% 0.18/0.37    Following clause subsumed by 63 during input processing: 0 [] {-} p1(e,e,e)| -r0(e)| -k0(e).
% 0.18/0.37    Following clause subsumed by 88 during input processing: 0 [] {-} q1(A,A,A)| -s0(A)| -m0(B,B,C).
% 0.18/0.37    Following clause subsumed by 88 during input processing: 0 [] {-} q1(A,A,A)| -s0(A).
% 0.18/0.37    Following clause subsumed by 88 during input processing: 0 [] {-} q1(d,d,d)| -k0(e)| -s0(d).
% 0.18/0.37    Following clause subsumed by 105 during input processing: 0 [] {-} q1(b,b,b)| -r0(b).
% 0.18/0.37    Following clause subsumed by 99 during input processing: 0 [] {-} q1(A,A,A)| -m0(B,C,A).
% 0.18/0.37    Following clause subsumed by 99 during input processing: 0 [] {-} q1(A,A,A)| -m0(A,B,A).
% 0.18/0.37    Following clause subsumed by 105 during input processing: 0 [] {-} q1(A,A,A)| -m0(c,A,A)| -r0(A).
% 0.18/0.37    Following clause subsumed by 142 during input processing: 0 [] {-} p2(A,A,A)| -s1(A)| -k1(A).
% 0.18/0.37    Following clause subsumed by 224 during input processing: 0 [] {-} p3(A,A,A)| -n2(A)| -q2(B,C,A)| -s1(B).
% 0.18/0.37    Following clause subsumed by 224 during input processing: 0 [] {-} p3(A,A,A)| -k1(A)| -n2(A).
% 0.18/0.37  13 back subsumes 9.
% 0.18/0.37  14 back subsumes 6.
% 0.18/0.37  28 back subsumes 21.
% 0.18/0.37  28 back subsumes 17.
% 0.18/0.37  40 back subsumes 39.
% 0.18/0.37  52 back subsumes 51.
% 0.18/0.37  77 back subsumes 68.
% 0.18/0.37  77 back subsumes 65.
% 0.18/0.37  142 back subsumes 134.
% 0.18/0.37  194 back subsumes 180.
% 0.18/0.37  216 back subsumes 213.
% 0.18/0.37  216 back subsumes 212.
% 0.18/0.37  244 back subsumes 239.
% 0.18/0.37  
% 0.18/0.37  ------------> process sos:
% 0.18/0.37    Following clause subsumed by 321 during input processing: 0 [] {-} p0(b,c).
% 0.18/0.37    Following clause subsumed by 324 during input processing: 0 [] {-} q0(d,d).
% 0.18/0.37  321 back subsumes 317.
% 0.18/0.37  324 back subsumes 309.
% 0.18/0.37  326 back subsumes 315.
% 0.18/0.37  326 back subsumes 311.
% 0.18/0.37  
% 0.18/0.37  ======= end of input processing =======
% 0.18/0.50  
% 0.18/0.50  Model 1 (0.00 seconds, 0 Inserts)
% 0.18/0.50  
% 0.18/0.50  Stopped by limit on number of solutions
% 0.18/0.50  
% 0.18/0.50  
% 0.18/0.50  -------------- Softie stats --------------
% 0.18/0.50  
% 0.18/0.50  UPDATE_STOP: 300
% 0.18/0.50  SFINDER_TIME_LIMIT: 2
% 0.18/0.50  SHORT_CLAUSE_CUTOFF: 4
% 0.18/0.50  number of clauses in intial UL: 294
% 0.18/0.50  number of clauses initially in problem: 326
% 0.18/0.50  percentage of clauses intially in UL: 90
% 0.18/0.50  percentage of distinct symbols occuring in initial UL: 100
% 0.18/0.50  percent of all initial clauses that are short: 100
% 0.18/0.50  absolute distinct symbol count: 53
% 0.18/0.50     distinct predicate count: 48
% 0.18/0.50     distinct function count: 0
% 0.18/0.50     distinct constant count: 5
% 0.18/0.50  
% 0.18/0.50  ---------- no more Softie stats ----------
% 0.18/0.50  
% 0.18/0.50  
% 0.18/0.50  
% 0.18/0.50  Model 2 (0.00 seconds, 0 Inserts)
% 0.18/0.50  
% 0.18/0.50  Stopped by limit on number of solutions
% 0.18/0.50  
% 0.18/0.50  =========== start of search ===========
% 12.14/12.39  
% 12.14/12.39  -- HEY sandbox, WE HAVE A PROOF!! -- 
% 12.14/12.39  
% 12.14/12.39  Stopped by limit on insertions
% 12.14/12.39  
% 12.14/12.39  Model 3 [ 1 2 3302 ] (0.00 seconds, 250000 Inserts)
% 12.14/12.39  
% 12.14/12.39  Stopped by limit on insertions
% 12.14/12.39  
% 12.14/12.39  Stopped by limit on insertions
% 12.14/12.39  
% 12.14/12.39  Model 4 [ 1 2 10838 ] (0.00 seconds, 250000 Inserts)
% 12.14/12.39  
% 12.14/12.39  Stopped by limit on insertions
% 12.14/12.39  
% 12.14/12.39  Model 5 [ 2 2 7347 ] (0.00 seconds, 250000 Inserts)
% 12.14/12.39  
% 12.14/12.39  Stopped by limit on insertions
% 12.14/12.39  
% 12.14/12.39  Stopped by limit on insertions
% 12.14/12.39  
% 12.14/12.39  Model 6 [ 3 4 12929 ] (0.00 seconds, 250000 Inserts)
% 12.14/12.39  
% 12.14/12.39  Stopped by limit on insertions
% 12.14/12.39  
% 12.14/12.39  Stopped by limit on insertions
% 12.14/12.39  
% 12.14/12.39  Model 7 [ 4 2 7910 ] (0.00 seconds, 250000 Inserts)
% 12.14/12.39  
% 12.14/12.39  Stopped by limit on insertions
% 12.14/12.39  
% 12.14/12.39  Model 8 [ 7 2 3890 ] (0.00 seconds, 250000 Inserts)
% 12.14/12.39  
% 12.14/12.39  Stopped by limit on insertions
% 12.14/12.39  
% 12.14/12.39  Model 9 [ 6 2 8948 ] (0.00 seconds, 250000 Inserts)
% 12.14/12.39  
% 12.14/12.39  Stopped by limit on insertions
% 12.14/12.39  
% 12.14/12.39  Model 10 [ 11 4 22545 ] (0.00 seconds, 250000 Inserts)
% 12.14/12.39  
% 12.14/12.39  Stopped by limit on insertions
% 12.14/12.39  
% 12.14/12.39  Stopped by limit on insertions
% 12.14/12.39  
% 12.14/12.39  Model 11 [ 9 2 7730 ] (0.00 seconds, 250000 Inserts)
% 12.14/12.39  
% 12.14/12.39  Stopped by limit on insertions
% 12.14/12.39  
% 12.14/12.39  Model 12 [ 10 2 8596 ] (0.00 seconds, 250000 Inserts)
% 12.14/12.39  
% 12.14/12.39  Stopped by limit on insertions
% 12.14/12.39  
% 12.14/12.39  Model 13 [ 10 2 5057 ] (0.00 seconds, 250000 Inserts)
% 12.14/12.39  
% 12.14/12.39  Stopped by limit on insertions
% 12.14/12.39  
% 12.14/12.39  Model 14 [ 11 2 7261 ] (0.00 seconds, 250000 Inserts)
% 12.14/12.39  
% 12.14/12.39  Stopped by limit on insertions
% 12.14/12.39  
% 12.14/12.39  Stopped by limit on insertions
% 12.14/12.39  
% 12.14/12.39  Model 15 [ 9 2 10160 ] (0.00 seconds, 250000 Inserts)
% 12.14/12.39  
% 12.14/12.39  Stopped by limit on insertions
% 12.14/12.39  
% 12.14/12.39  Model 16 [ 11 3 11274 ] (0.00 seconds, 250000 Inserts)
% 12.14/12.39  
% 12.14/12.39  Stopped by limit on insertions
% 12.14/12.39  
% 12.14/12.39  Model 17 [ 14 2 7716 ] (0.00 seconds, 250000 Inserts)
% 12.14/12.39  
% 12.14/12.39  Stopped by limit on insertions
% 12.14/12.39  
% 12.14/12.39  Model 18 [ 14 2 5450 ] (0.00 seconds, 250000 Inserts)
% 12.14/12.39  
% 12.14/12.39  Stopped by limit on insertions
% 12.14/12.39  
% 12.14/12.39  Stopped by limit on insertions
% 12.14/12.39  
% 12.14/12.39  Stopped by limit on insertions
% 12.14/12.39  
% 12.14/12.39  Model 19 [ 23 4 19836 ] (0.00 seconds, 250000 Inserts)
% 12.14/12.39  
% 12.14/12.39  Stopped by limit on insertions
% 12.14/12.39  
% 12.14/12.39  Model 20 [ 24 2 8906 ] (0.00 seconds, 250000 Inserts)
% 12.14/12.39  
% 12.14/12.39  Stopped by limit on insertions
% 12.14/12.39  
% 12.14/12.39  Stopped by limit on insertions
% 12.14/12.39  
% 12.14/12.39  Model 21 [ 24 1 3968 ] (0.00 seconds, 250000 Inserts)
% 12.14/12.39  
% 12.14/12.39  Stopped by limit on insertions
% 12.14/12.39  
% 12.14/12.39  Model 22 [ 17 2 9744 ] (0.00 seconds, 250000 Inserts)
% 12.14/12.39  
% 12.14/12.39  Stopped by limit on insertions
% 12.14/12.39  
% 12.14/12.39  Model 23 [ 22 1 3419 ] (0.00 seconds, 250000 Inserts)
% 12.14/12.39  
% 12.14/12.39  Stopped by limit on insertions
% 12.14/12.39  
% 12.14/12.39  Model 24 [ 21 3 13657 ] (0.00 seconds, 250000 Inserts)
% 12.14/12.39  
% 12.14/12.39  Stopped by limit on insertions
% 12.14/12.39  
% 12.14/12.39  Model 25 [ 29 2 3189 ] (0.00 seconds, 250000 Inserts)
% 12.14/12.39  
% 12.14/12.39  Stopped by limit on insertions
% 12.14/12.39  
% 12.14/12.39  Model 26 [ 25 2 4263 ] (0.00 seconds, 250000 Inserts)
% 12.14/12.39  
% 12.14/12.39  Stopped by limit on insertions
% 12.14/12.39  
% 12.14/12.39  Stopped by limit on insertions
% 12.14/12.39  
% 12.14/12.39  Model 27 [ 22 2 4053 ] (0.00 seconds, 250000 Inserts)
% 12.14/12.39  
% 12.14/12.39  Stopped by limit on insertions
% 12.14/12.39  
% 12.14/12.39  Model 28 [ 31 2 1781 ] (0.00 seconds, 250000 Inserts)
% 12.14/12.39  
% 12.14/12.39  Stopped by limit on insertions
% 12.14/12.39  
% 12.14/12.39  Model 29 [ 31 2 5843 ] (0.00 seconds, 250000 Inserts)
% 12.14/12.39  
% 12.14/12.39  Stopped by limit on insertions
% 12.14/12.39  
% 12.14/12.39  Model 30 [ 26 3 14965 ] (0.00 seconds, 250000 Inserts)
% 12.14/12.39  
% 12.14/12.39  Stopped by limit on insertions
% 12.14/12.39  
% 12.14/12.39  Model 31 [ 23 3 12802 ] (0.00 seconds, 250000 Inserts)
% 12.14/12.39  
% 12.14/12.39  Stopped by limit on insertions
% 12.14/12.39  
% 12.14/12.39  Model 32 [ 34 3 9693 ] (0.00 seconds, 250000 Inserts)
% 12.14/12.39  
% 12.14/12.39  Stopped by limit on insertions
% 12.14/12.39  
% 12.14/12.39  Model 33 [ 30 1 5721 ] (0.00 seconds, 250000 Inserts)
% 12.14/12.39  
% 12.14/12.39  Stopped by limit on insertions
% 12.14/12.39  
% 12.14/12.39  Model 34 [ 27 1 5515 ] (0.00 seconds, 250000 Inserts)
% 12.14/12.39  
% 12.14/12.39  Stopped by limit on insertions
% 12.14/12.39  
% 12.14/12.39  Stopped by limit on insertions
% 12.14/12.39  
% 12.14/12.39  Model 35 [ 19 2 8678 ] (0.00 seconds, 250000 Inserts)
% 12.14/12.39  
% 12.14/12.39  Stopped by limit on insertions
% 12.14/12.39  
% 12.14/12.39  Stopped by limit on insertions
% 12.14/12.39  
% 12.14/12.39  Model 36 [ 34 3 13807 ] (0.00 seconds, 250000 Inserts)
% 12.14/12.39  
% 12.14/12.39  Stopped by limit on insertions
% 12.14/12.39  
% 12.14/12.39  Stopped by limit on insertions
% 12.14/12.39  
% 12.14/12.39  Model 37 [ 29 3 17997 ] (0.00 seconds, 250000 Inserts)
% 12.14/12.39  
% 12.14/12.39  Stopped by limit on insertions
% 12.14/12.39  
% 12.14/12.39  Stopped by limit on insertions
% 12.14/12.39  
% 12.14/12.39  Model 38 [ 28 1 2808 ] (0.00 seconds, 250000 Inserts)
% 12.14/12.39  
% 12.14/12.39  Stopped by limit on insertions
% 12.14/12.39  
% 12.14/12.39  Model 39 [ 32 2 7088 ] (0.00 seconds, 250000 Inserts)
% 12.14/12.39  
% 12.14/12.39  ----> UNIT CONFLICT at  12.00 sec ----> 486 [binary,485.1,307.1] {+} $F.
% 12.14/12.39  
% 12.14/12.39  Length of proof is 6.  Level of proof is 5.
% 12.14/12.39  
% 12.14/12.39  ---------------- PROOF ----------------
% 12.14/12.39  % SZS status Unsatisfiable
% 12.14/12.39  % SZS output start Refutation
% 12.14/12.39  
% 12.14/12.39  109 [] {+} s1(A)| -p0(A,A).
% 12.14/12.39  110 [] {+} s1(A)| -q0(A,B)| -s1(C).
% 12.14/12.39  115 [] {+} l2(A,B)| -s1(A)| -n0(e,B)| -l2(B,B).
% 12.14/12.39  116 [] {+} l2(A,A)| -p0(B,B)| -s1(C)| -m0(D,C,A).
% 12.14/12.39  172 [] {+} s2(d)| -s1(a)| -s0(d).
% 12.14/12.39  205 [] {+} m3(A,B,A)| -m0(C,C,B)| -l2(D,A)| -m0(A,D,D)| -s2(C).
% 12.14/12.39  307 [] {+} -m3(b,c,b).
% 12.14/12.39  308 [] {+} s0(d).
% 12.14/12.39  318 [] {+} n0(e,b).
% 12.14/12.39  321 [] {+} p0(b,A).
% 12.14/12.39  324 [] {+} q0(A,d).
% 12.14/12.39  326 [] {-} m0(A,d,B).
% 12.14/12.39  343 [] {+} m0(b,a,a).
% 12.14/12.39  371 [hyper,321,109] {+} s1(b).
% 12.14/12.39  395 [hyper,324,110,371] {+} s1(A).
% 12.14/12.39  408 [hyper,395,172,308] {-} s2(d).
% 12.14/12.39  409 [hyper,326,116,321,395] {+} l2(A,A).
% 12.14/12.39  482 [hyper,409,115,395,318] {+} l2(A,b).
% 12.14/12.39  485 [hyper,482,205,326,343,408] {-} m3(b,A,b).
% 12.14/12.39  486 [binary,485.1,307.1] {+} $F.
% 12.14/12.39  
% 12.14/12.39  % SZS output end Refutation
% 12.14/12.39  ------------ end of proof -------------
% 12.14/12.39  
% 12.14/12.39  
% 12.14/12.39  Search stopped by max_proofs option.
% 12.14/12.39  
% 12.14/12.39  
% 12.14/12.39  Search stopped by max_proofs option.
% 12.14/12.39  
% 12.14/12.39  ============ end of search ============
% 12.14/12.39  
% 12.14/12.39  ----------- soft-scott stats ----------
% 12.14/12.39  
% 12.14/12.39  true clauses given           7      (12.1%)
% 12.14/12.39  false clauses given         51
% 12.14/12.39  
% 12.14/12.39        FALSE     TRUE
% 12.14/12.39     3  0         9
% 12.14/12.39     4  10        58
% 12.14/12.39  tot:  10        67      (87.0% true)
% 12.14/12.39  
% 12.14/12.39  
% 12.14/12.39  Model 39 [ 32 2 7088 ] (0.00 seconds, 250000 Inserts)
% 12.14/12.39  
% 12.14/12.39  That finishes the proof of the theorem.
% 12.14/12.39  
% 12.14/12.39  Process 8923 finished Mon Jul 11 21:28:55 2022
%------------------------------------------------------------------------------