TSTP Solution File: SYN222-1 by SOS---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SOS---2.0
% Problem  : SYN222-1 : TPTP v8.1.0. Released v1.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : sos-script %s

% Computer : n029.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 12:11:00 EDT 2022

% Result   : Unsatisfiable 7.24s 7.44s
% Output   : Refutation 7.24s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : SYN222-1 : TPTP v8.1.0. Released v1.1.0.
% 0.11/0.12  % Command  : sos-script %s
% 0.12/0.33  % Computer : n029.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 20:10:32 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 sandbox2 on n029.cluster.edu,
% 0.12/0.37  Mon Jul 11 20:10:32 2022
% 0.12/0.37  The command was "./sos".  The process ID is 20548.
% 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 =======
% 0.19/0.48  
% 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  =========== start of search ===========
% 7.24/7.44  
% 7.24/7.44  -------- PROOF -------- 
% 7.24/7.44  % SZS status Unsatisfiable
% 7.24/7.44  % SZS output start Refutation
% 7.24/7.44  
% 7.24/7.44  Stopped by limit on insertions
% 7.24/7.44  
% 7.24/7.44  Model 2 [ 1 3 3087 ] (0.00 seconds, 250000 Inserts)
% 7.24/7.44  
% 7.24/7.44  Stopped by limit on insertions
% 7.24/7.44  
% 7.24/7.44  Model 3 [ 1 4 11985 ] (0.00 seconds, 250000 Inserts)
% 7.24/7.44  
% 7.24/7.44  Stopped by limit on insertions
% 7.24/7.44  
% 7.24/7.44  Model 4 [ 2 2 2307 ] (0.00 seconds, 250000 Inserts)
% 7.24/7.44  
% 7.24/7.44  Stopped by limit on insertions
% 7.24/7.44  
% 7.24/7.44  Model 5 [ 1 2 5612 ] (0.00 seconds, 250000 Inserts)
% 7.24/7.44  
% 7.24/7.44  Stopped by limit on insertions
% 7.24/7.44  
% 7.24/7.44  Model 6 [ 3 3 9184 ] (0.00 seconds, 250000 Inserts)
% 7.24/7.44  
% 7.24/7.44  Stopped by limit on insertions
% 7.24/7.44  
% 7.24/7.44  Model 7 [ 3 2 4259 ] (0.00 seconds, 250000 Inserts)
% 7.24/7.44  
% 7.24/7.44  Stopped by limit on insertions
% 7.24/7.44  
% 7.24/7.44  Model 8 [ 2 2 4202 ] (0.00 seconds, 250000 Inserts)
% 7.24/7.44  
% 7.24/7.44  Stopped by limit on insertions
% 7.24/7.44  
% 7.24/7.44  Model 9 [ 6 2 5558 ] (0.00 seconds, 250000 Inserts)
% 7.24/7.44  
% 7.24/7.44  Stopped by limit on insertions
% 7.24/7.44  
% 7.24/7.44  Model 10 [ 7 2 4792 ] (0.00 seconds, 250000 Inserts)
% 7.24/7.44  
% 7.24/7.44  Stopped by limit on insertions
% 7.24/7.44  
% 7.24/7.44  Model 11 [ 8 2 9933 ] (0.00 seconds, 250000 Inserts)
% 7.24/7.44  
% 7.24/7.44  Stopped by limit on insertions
% 7.24/7.44  
% 7.24/7.44  Model 12 [ 8 1 3867 ] (0.00 seconds, 250000 Inserts)
% 7.24/7.44  
% 7.24/7.44  Stopped by limit on insertions
% 7.24/7.44  
% 7.24/7.44  Model 13 [ 9 3 5070 ] (0.00 seconds, 250000 Inserts)
% 7.24/7.44  
% 7.24/7.44  Stopped by limit on insertions
% 7.24/7.44  
% 7.24/7.44  Model 14 [ 11 3 8521 ] (0.00 seconds, 250000 Inserts)
% 7.24/7.44  
% 7.24/7.44  Stopped by limit on insertions
% 7.24/7.44  
% 7.24/7.44  Model 15 [ 16 3 9854 ] (0.00 seconds, 250000 Inserts)
% 7.24/7.44  
% 7.24/7.44  Stopped by limit on insertions
% 7.24/7.44  
% 7.24/7.44  Model 16 [ 17 3 10518 ] (0.00 seconds, 250000 Inserts)
% 7.24/7.44  
% 7.24/7.44  Stopped by limit on insertions
% 7.24/7.44  
% 7.24/7.44  Model 17 [ 15 2 6513 ] (0.00 seconds, 250000 Inserts)
% 7.24/7.44  
% 7.24/7.44  Stopped by limit on insertions
% 7.24/7.44  
% 7.24/7.44  Model 18 [ 18 2 12691 ] (0.00 seconds, 250000 Inserts)
% 7.24/7.44  
% 7.24/7.44  Stopped by limit on insertions
% 7.24/7.44  
% 7.24/7.44  Model 19 [ 21 3 10145 ] (0.00 seconds, 250000 Inserts)
% 7.24/7.44  
% 7.24/7.44  Stopped by limit on insertions
% 7.24/7.44  
% 7.24/7.44  Model 20 [ 22 2 6097 ] (0.00 seconds, 250000 Inserts)
% 7.24/7.44  
% 7.24/7.44  Stopped by limit on insertions
% 7.24/7.44  
% 7.24/7.44  Model 21 [ 24 2 6234 ] (0.00 seconds, 250000 Inserts)
% 7.24/7.44  
% 7.24/7.44  Stopped by limit on insertions
% 7.24/7.44  
% 7.24/7.44  Model 22 [ 19 3 14199 ] (0.00 seconds, 250000 Inserts)
% 7.24/7.44  
% 7.24/7.44  Stopped by limit on insertions
% 7.24/7.44  
% 7.24/7.44  Model 23 [ 25 2 3493 ] (0.00 seconds, 250000 Inserts)
% 7.24/7.44  
% 7.24/7.44  Stopped by limit on insertions
% 7.24/7.44  
% 7.24/7.44  Model 24 [ 28 2 6296 ] (0.00 seconds, 250000 Inserts)
% 7.24/7.44  
% 7.24/7.44  Stopped by limit on insertions
% 7.24/7.44  
% 7.24/7.44  Model 25 [ 21 1 3836 ] (0.00 seconds, 250000 Inserts)
% 7.24/7.44  
% 7.24/7.44  Stopped by limit on insertions
% 7.24/7.44  
% 7.24/7.44  Model 26 [ 24 2 6110 ] (0.00 seconds, 250000 Inserts)
% 7.24/7.44  
% 7.24/7.44  Stopped by limit on insertions
% 7.24/7.44  
% 7.24/7.44  Model 27 [ 27 3 14018 ] (0.00 seconds, 250000 Inserts)
% 7.24/7.44  
% 7.24/7.44  Stopped by limit on insertions
% 7.24/7.44  
% 7.24/7.44  Model 28 [ 26 2 7474 ] (0.00 seconds, 250000 Inserts)
% 7.24/7.44  
% 7.24/7.44  Stopped by limit on insertions
% 7.24/7.44  
% 7.24/7.44  Model 29 [ 29 2 4298 ] (0.00 seconds, 250000 Inserts)
% 7.24/7.44  
% 7.24/7.44  Stopped by limit on insertions
% 7.24/7.44  
% 7.24/7.44  Model 30 [ 25 3 10409 ] (0.00 seconds, 250000 Inserts)
% 7.24/7.44  
% 7.24/7.44  Stopped by limit on insertions
% 7.24/7.44  
% 7.24/7.44  Model 31 [ 42 1 3241 ] (0.00 seconds, 250000 Inserts)
% 7.24/7.44  
% 7.24/7.44  Stopped by limit on insertions
% 7.24/7.44  
% 7.24/7.44  Model 32 [ 42 2 4576 ] (0.00 seconds, 250000 Inserts)
% 7.24/7.44  
% 7.24/7.44  Stopped by limit on insertions
% 7.24/7.44  
% 7.24/7.44  Model 33 [ 36 2 5439 ] (0.00 seconds, 250000 Inserts)
% 7.24/7.44  
% 7.24/7.44  ----> UNIT CONFLICT at   7.05 sec ----> 469 [binary,468.1,307.1] {-} $F.
% 7.24/7.44  
% 7.24/7.44  Length of proof is 5.  Level of proof is 4.
% 7.24/7.44  
% 7.24/7.44  ---------------- PROOF ----------------
% 7.24/7.44  % SZS status Unsatisfiable
% 7.24/7.44  % SZS output start Refutation
% 7.24/7.44  
% 7.24/7.44  3 [] {+} l1(A,B)| -p0(C,A)| -r0(D)| -m0(B,A,C).
% 7.24/7.44  109 [] {+} s1(A)| -p0(A,A).
% 7.24/7.44  110 [] {+} s1(A)| -q0(A,B)| -s1(C).
% 7.24/7.44  172 [] {+} s2(d)| -s1(a)| -s0(d).
% 7.24/7.44  200 [] {+} l3(A,A)| -s2(B)| -l1(A,A).
% 7.24/7.44  307 [] {+} -l3(A,d).
% 7.24/7.44  308 [] {-} s0(d).
% 7.24/7.44  320 [] {+} r0(e).
% 7.24/7.44  321 [] {-} p0(b,A).
% 7.24/7.44  324 [] {-} q0(A,d).
% 7.24/7.44  326 [] {+} m0(A,d,B).
% 7.24/7.44  377 [hyper,321,109] {+} s1(b).
% 7.24/7.44  395 [hyper,324,110,377] {+} s1(A).
% 7.24/7.44  399 [hyper,395,172,308] {+} s2(d).
% 7.24/7.44  431 [hyper,326,3,321,320] {+} l1(d,A).
% 7.24/7.44  468 [hyper,431,200,399] {-} l3(d,d).
% 7.24/7.44  469 [binary,468.1,307.1] {-} $F.
% 7.24/7.44  
% 7.24/7.44  % SZS output end Refutation
% 7.24/7.44  ------------ end of proof -------------
% 7.24/7.44  
% 7.24/7.44  
% 7.24/7.44  Search stopped by max_proofs option.
% 7.24/7.44  
% 7.24/7.44  
% 7.24/7.44  Search stopped by max_proofs option.
% 7.24/7.44  
% 7.24/7.44  ============ end of search ============
% 7.24/7.44  
% 7.24/7.44  ----------- soft-scott stats ----------
% 7.24/7.44  
% 7.24/7.44  true clauses given           6      (14.3%)
% 7.24/7.44  false clauses given         36
% 7.24/7.44  
% 7.24/7.44        FALSE     TRUE
% 7.24/7.44     3  3         4
% 7.24/7.44     4  22        50
% 7.24/7.44  tot:  25        54      (68.4% true)
% 7.24/7.44  
% 7.24/7.44  
% 7.24/7.44  Model 33 [ 36 2 5439 ] (0.00 seconds, 250000 Inserts)
% 7.24/7.44  
% 7.24/7.44  That finishes the proof of the theorem.
% 7.24/7.44  
% 7.24/7.44  Process 20548 finished Mon Jul 11 20:10:39 2022
%------------------------------------------------------------------------------