TSTP Solution File: SYN221-1 by SOS---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SOS---2.0
% Problem  : SYN221-1 : TPTP v8.1.0. Released v1.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : sos-script %s

% Computer : n022.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 6.64s 6.90s
% Output   : Refutation 6.64s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13  % Problem  : SYN221-1 : TPTP v8.1.0. Released v1.1.0.
% 0.08/0.14  % Command  : sos-script %s
% 0.13/0.35  % Computer : n022.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 600
% 0.13/0.35  % DateTime : Mon Jul 11 20:42:25 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 0.13/0.40  ----- Otter 3.2, August 2001 -----
% 0.13/0.40  The process was started by sandbox2 on n022.cluster.edu,
% 0.13/0.40  Mon Jul 11 20:42:25 2022
% 0.13/0.40  The command was "./sos".  The process ID is 31096.
% 0.13/0.40  
% 0.13/0.40  set(prolog_style_variables).
% 0.13/0.40  set(auto).
% 0.13/0.40     dependent: set(auto1).
% 0.13/0.40     dependent: set(process_input).
% 0.13/0.40     dependent: clear(print_kept).
% 0.13/0.40     dependent: clear(print_new_demod).
% 0.13/0.40     dependent: clear(print_back_demod).
% 0.13/0.40     dependent: clear(print_back_sub).
% 0.13/0.40     dependent: set(control_memory).
% 0.13/0.40     dependent: assign(max_mem, 12000).
% 0.13/0.40     dependent: assign(pick_given_ratio, 4).
% 0.13/0.40     dependent: assign(stats_level, 1).
% 0.13/0.40     dependent: assign(pick_semantic_ratio, 3).
% 0.13/0.40     dependent: assign(sos_limit, 5000).
% 0.13/0.40     dependent: assign(max_weight, 60).
% 0.13/0.40  clear(print_given).
% 0.13/0.40  
% 0.13/0.40  list(usable).
% 0.13/0.40  
% 0.13/0.40  SCAN INPUT: prop=0, horn=1, equality=0, symmetry=0, max_lits=5.
% 0.13/0.40  
% 0.13/0.40  This is a Horn set without equality.  The strategy will
% 0.13/0.40  be hyperresolution, with satellites in sos and nuclei
% 0.13/0.40  in usable.
% 0.13/0.40  
% 0.13/0.40     dependent: set(hyper_res).
% 0.13/0.40     dependent: clear(order_hyper).
% 0.13/0.40  
% 0.13/0.40  ------------> process usable:
% 0.13/0.40    Following clause subsumed by 13 during input processing: 0 [] {-} m1(A,A,A)| -q0(B,C)| -q0(B,A).
% 0.13/0.40    Following clause subsumed by 14 during input processing: 0 [] {-} m1(A,A,A)| -m0(B,C,A).
% 0.13/0.40    Following clause subsumed by 14 during input processing: 0 [] {-} m1(A,A,A)| -l0(A)| -k0(A)| -m0(A,A,A).
% 0.13/0.40    Following clause subsumed by 12 during input processing: 0 [] {-} m1(e,e,e)| -r0(e).
% 0.13/0.40    Following clause subsumed by 63 during input processing: 0 [] {-} p1(A,A,A)| -n0(e,b)| -k0(b)| -k0(A)| -k1(B).
% 0.13/0.40    Following clause subsumed by 64 during input processing: 0 [] {-} p1(A,A,B)| -p0(B,A)| -r0(A).
% 0.13/0.40    Following clause subsumed by 63 during input processing: 0 [] {-} p1(e,e,e)| -r0(e)| -k0(e).
% 0.13/0.40    Following clause subsumed by 88 during input processing: 0 [] {-} q1(A,A,A)| -s0(A)| -m0(B,B,C).
% 0.13/0.40    Following clause subsumed by 88 during input processing: 0 [] {-} q1(A,A,A)| -s0(A).
% 0.13/0.40    Following clause subsumed by 88 during input processing: 0 [] {-} q1(d,d,d)| -k0(e)| -s0(d).
% 0.13/0.40    Following clause subsumed by 105 during input processing: 0 [] {-} q1(b,b,b)| -r0(b).
% 0.13/0.40    Following clause subsumed by 99 during input processing: 0 [] {-} q1(A,A,A)| -m0(B,C,A).
% 0.13/0.40    Following clause subsumed by 99 during input processing: 0 [] {-} q1(A,A,A)| -m0(A,B,A).
% 0.13/0.40    Following clause subsumed by 105 during input processing: 0 [] {-} q1(A,A,A)| -m0(c,A,A)| -r0(A).
% 0.13/0.40    Following clause subsumed by 142 during input processing: 0 [] {-} p2(A,A,A)| -s1(A)| -k1(A).
% 0.13/0.40    Following clause subsumed by 224 during input processing: 0 [] {-} p3(A,A,A)| -n2(A)| -q2(B,C,A)| -s1(B).
% 0.13/0.40    Following clause subsumed by 224 during input processing: 0 [] {-} p3(A,A,A)| -k1(A)| -n2(A).
% 0.13/0.40  13 back subsumes 9.
% 0.13/0.40  14 back subsumes 6.
% 0.13/0.40  28 back subsumes 21.
% 0.13/0.40  28 back subsumes 17.
% 0.13/0.40  40 back subsumes 39.
% 0.13/0.40  52 back subsumes 51.
% 0.13/0.40  77 back subsumes 68.
% 0.13/0.40  77 back subsumes 65.
% 0.13/0.40  142 back subsumes 134.
% 0.13/0.40  194 back subsumes 180.
% 0.13/0.40  216 back subsumes 213.
% 0.13/0.40  216 back subsumes 212.
% 0.13/0.40  244 back subsumes 239.
% 0.13/0.40  
% 0.13/0.40  ------------> process sos:
% 0.13/0.40    Following clause subsumed by 321 during input processing: 0 [] {-} p0(b,c).
% 0.13/0.40    Following clause subsumed by 324 during input processing: 0 [] {-} q0(d,d).
% 0.13/0.40  321 back subsumes 317.
% 0.13/0.40  324 back subsumes 309.
% 0.13/0.40  326 back subsumes 315.
% 0.13/0.40  326 back subsumes 311.
% 0.13/0.40  
% 0.13/0.40  ======= end of input processing =======
% 0.21/0.52  
% 0.21/0.52  Model 1 (0.00 seconds, 0 Inserts)
% 0.21/0.52  
% 0.21/0.52  Stopped by limit on number of solutions
% 0.21/0.52  
% 0.21/0.52  
% 0.21/0.52  -------------- Softie stats --------------
% 0.21/0.52  
% 0.21/0.52  UPDATE_STOP: 300
% 0.21/0.52  SFINDER_TIME_LIMIT: 2
% 0.21/0.52  SHORT_CLAUSE_CUTOFF: 4
% 0.21/0.52  number of clauses in intial UL: 294
% 0.21/0.52  number of clauses initially in problem: 326
% 0.21/0.52  percentage of clauses intially in UL: 90
% 0.21/0.52  percentage of distinct symbols occuring in initial UL: 100
% 0.21/0.52  percent of all initial clauses that are short: 100
% 0.21/0.52  absolute distinct symbol count: 53
% 0.21/0.52     distinct predicate count: 48
% 0.21/0.52     distinct function count: 0
% 0.21/0.52     distinct constant count: 5
% 0.21/0.52  
% 0.21/0.52  ---------- no more Softie stats ----------
% 0.21/0.52  
% 0.21/0.52  
% 0.21/0.52  
% 0.21/0.52  Model 2 (0.00 seconds, 0 Inserts)
% 0.21/0.52  
% 0.21/0.52  Stopped by limit on number of solutions
% 0.21/0.52  
% 0.21/0.52  =========== start of search ===========
% 6.64/6.90  
% 6.64/6.90  -------- PROOF -------- 
% 6.64/6.90  % SZS status Unsatisfiable
% 6.64/6.90  % SZS output start Refutation
% 6.64/6.90  
% 6.64/6.90  Model 3 (0.00 seconds, 0 Inserts)
% 6.64/6.90  
% 6.64/6.90  Stopped by limit on number of solutions
% 6.64/6.90  
% 6.64/6.90  Stopped by limit on insertions
% 6.64/6.90  
% 6.64/6.90  Model 4 [ 1 2 3168 ] (0.00 seconds, 250000 Inserts)
% 6.64/6.90  
% 6.64/6.90  Model 5 (0.00 seconds, 250000 Inserts)
% 6.64/6.90  
% 6.64/6.90  Stopped by limit on number of solutions
% 6.64/6.90  
% 6.64/6.90  Stopped by limit on insertions
% 6.64/6.90  
% 6.64/6.90  Model 6 [ 4 2 7429 ] (0.00 seconds, 250000 Inserts)
% 6.64/6.90  
% 6.64/6.90  Stopped by limit on insertions
% 6.64/6.90  
% 6.64/6.90  Model 7 [ 1 2 7006 ] (0.00 seconds, 250000 Inserts)
% 6.64/6.90  
% 6.64/6.90  Stopped by limit on insertions
% 6.64/6.90  
% 6.64/6.90  Model 8 [ 3 2 4130 ] (0.00 seconds, 250000 Inserts)
% 6.64/6.90  
% 6.64/6.90  Stopped by limit on insertions
% 6.64/6.90  
% 6.64/6.90  Model 9 [ 4 2 3913 ] (0.00 seconds, 250000 Inserts)
% 6.64/6.90  
% 6.64/6.90  Stopped by limit on insertions
% 6.64/6.90  
% 6.64/6.90  Model 10 [ 3 2 10034 ] (0.00 seconds, 250000 Inserts)
% 6.64/6.90  
% 6.64/6.90  Stopped by limit on insertions
% 6.64/6.90  
% 6.64/6.90  Model 11 [ 7 1 4423 ] (0.00 seconds, 250000 Inserts)
% 6.64/6.90  
% 6.64/6.90  Stopped by limit on insertions
% 6.64/6.90  
% 6.64/6.90  Model 12 [ 5 2 5848 ] (0.00 seconds, 250000 Inserts)
% 6.64/6.90  
% 6.64/6.90  Stopped by limit on insertions
% 6.64/6.90  
% 6.64/6.90  Model 13 [ 7 2 4749 ] (0.00 seconds, 250000 Inserts)
% 6.64/6.90  
% 6.64/6.90  Stopped by limit on insertions
% 6.64/6.90  
% 6.64/6.90  Model 14 [ 5 1 5282 ] (0.00 seconds, 250000 Inserts)
% 6.64/6.90  
% 6.64/6.90  Stopped by limit on insertions
% 6.64/6.90  
% 6.64/6.90  Model 15 [ 13 2 6861 ] (0.00 seconds, 250000 Inserts)
% 6.64/6.90  
% 6.64/6.90  Stopped by limit on insertions
% 6.64/6.90  
% 6.64/6.90  Model 16 [ 12 3 13915 ] (0.00 seconds, 250000 Inserts)
% 6.64/6.90  
% 6.64/6.90  Stopped by limit on insertions
% 6.64/6.90  
% 6.64/6.90  Model 17 [ 12 2 6118 ] (0.00 seconds, 250000 Inserts)
% 6.64/6.90  
% 6.64/6.90  Stopped by limit on insertions
% 6.64/6.90  
% 6.64/6.90  Model 18 [ 13 3 16767 ] (0.00 seconds, 250000 Inserts)
% 6.64/6.90  
% 6.64/6.90  Stopped by limit on insertions
% 6.64/6.90  
% 6.64/6.90  Model 19 [ 21 2 6667 ] (0.00 seconds, 250000 Inserts)
% 6.64/6.90  
% 6.64/6.90  Stopped by limit on insertions
% 6.64/6.90  
% 6.64/6.90  Model 20 [ 13 3 10054 ] (0.00 seconds, 250000 Inserts)
% 6.64/6.90  
% 6.64/6.90  Stopped by limit on insertions
% 6.64/6.90  
% 6.64/6.90  Model 21 [ 20 2 9150 ] (0.00 seconds, 250000 Inserts)
% 6.64/6.90  
% 6.64/6.90  Stopped by limit on insertions
% 6.64/6.90  
% 6.64/6.90  Model 22 [ 14 3 12820 ] (0.00 seconds, 250000 Inserts)
% 6.64/6.90  
% 6.64/6.90  Stopped by limit on insertions
% 6.64/6.90  
% 6.64/6.90  Stopped by limit on insertions
% 6.64/6.90  
% 6.64/6.90  Model 23 [ 20 2 4131 ] (0.00 seconds, 250000 Inserts)
% 6.64/6.90  
% 6.64/6.90  Stopped by limit on insertions
% 6.64/6.90  
% 6.64/6.90  Stopped by limit on insertions
% 6.64/6.90  
% 6.64/6.90  Model 24 [ 23 2 6676 ] (0.00 seconds, 250000 Inserts)
% 6.64/6.90  
% 6.64/6.90  Stopped by limit on insertions
% 6.64/6.90  
% 6.64/6.90  Model 25 [ 23 2 2763 ] (0.00 seconds, 250000 Inserts)
% 6.64/6.90  
% 6.64/6.90  Stopped by limit on insertions
% 6.64/6.90  
% 6.64/6.90  Model 26 [ 23 3 15692 ] (0.00 seconds, 250000 Inserts)
% 6.64/6.90  
% 6.64/6.90  Stopped by limit on insertions
% 6.64/6.90  
% 6.64/6.90  Model 27 [ 27 2 4059 ] (0.00 seconds, 250000 Inserts)
% 6.64/6.90  
% 6.64/6.90  Stopped by limit on insertions
% 6.64/6.90  
% 6.64/6.90  Model 28 [ 38 3 9257 ] (0.00 seconds, 250000 Inserts)
% 6.64/6.90  
% 6.64/6.90  Stopped by limit on insertions
% 6.64/6.90  
% 6.64/6.90  Model 29 [ 42 2 7618 ] (0.00 seconds, 250000 Inserts)
% 6.64/6.90  
% 6.64/6.90  Stopped by limit on insertions
% 6.64/6.90  
% 6.64/6.90  Model 30 [ 29 2 9936 ] (0.00 seconds, 250000 Inserts)
% 6.64/6.90  
% 6.64/6.90  Stopped by limit on insertions
% 6.64/6.90  
% 6.64/6.90  Model 31 [ 36 1 2224 ] (0.00 seconds, 250000 Inserts)
% 6.64/6.90  
% 6.64/6.90  Stopped by limit on insertions
% 6.64/6.90  
% 6.64/6.90  Model 32 [ 44 2 6336 ] (0.00 seconds, 250000 Inserts)
% 6.64/6.90  
% 6.64/6.90  Stopped by limit on insertions
% 6.64/6.90  
% 6.64/6.90  Model 33 [ 43 2 5906 ] (0.00 seconds, 250000 Inserts)
% 6.64/6.90  
% 6.64/6.90  Stopped by limit on insertions
% 6.64/6.90  
% 6.64/6.90  Model 34 [ 38 2 5981 ] (0.00 seconds, 250000 Inserts)
% 6.64/6.90  
% 6.64/6.90  Stopped by limit on insertions
% 6.64/6.90  
% 6.64/6.90  Model 35 [ 41 2 9029 ] (0.00 seconds, 250000 Inserts)
% 6.64/6.90  
% 6.64/6.90  ----> UNIT CONFLICT at   6.50 sec ----> 471 [binary,470.1,307.1] {+} $F.
% 6.64/6.90  
% 6.64/6.90  Length of proof is 5.  Level of proof is 4.
% 6.64/6.90  
% 6.64/6.90  ---------------- PROOF ----------------
% 6.64/6.90  % SZS status Unsatisfiable
% 6.64/6.90  % SZS output start Refutation
% 6.64/6.90  
% 6.64/6.90  2 [] {+} l1(A,A)| -n0(B,A).
% 6.64/6.90  109 [] {+} s1(A)| -p0(A,A).
% 6.64/6.90  110 [] {+} s1(A)| -q0(A,B)| -s1(C).
% 6.64/6.90  172 [] {+} s2(d)| -s1(a)| -s0(d).
% 6.64/6.90  200 [] {+} l3(A,A)| -s2(B)| -l1(A,A).
% 6.64/6.90  307 [] {+} -l3(A,c).
% 6.64/6.90  308 [] {+} s0(d).
% 6.64/6.90  321 [] {-} p0(b,A).
% 6.64/6.90  324 [] {+} q0(A,d).
% 6.64/6.90  331 [] {-} n0(d,c).
% 6.64/6.90  377 [hyper,321,109] {+} s1(b).
% 6.64/6.90  397 [hyper,324,110,377] {+} s1(A).
% 6.64/6.90  401 [hyper,397,172,308] {-} s2(d).
% 6.64/6.90  410 [hyper,331,2] {+} l1(c,c).
% 6.64/6.90  470 [hyper,410,200,401] {-} l3(c,c).
% 6.64/6.90  471 [binary,470.1,307.1] {+} $F.
% 6.64/6.90  
% 6.64/6.90  % SZS output end Refutation
% 6.64/6.90  ------------ end of proof -------------
% 6.64/6.90  
% 6.64/6.90  
% 6.64/6.90  Search stopped by max_proofs option.
% 6.64/6.90  
% 6.64/6.90  
% 6.64/6.90  Search stopped by max_proofs option.
% 6.64/6.90  
% 6.64/6.90  ============ end of search ============
% 6.64/6.90  
% 6.64/6.90  ----------- soft-scott stats ----------
% 6.64/6.90  
% 6.64/6.90  true clauses given           3      (7.1%)
% 6.64/6.90  false clauses given         39
% 6.64/6.90  
% 6.64/6.90        FALSE     TRUE
% 6.64/6.90     2  1         0
% 6.64/6.90     3  3         5
% 6.64/6.90     4  41        32
% 6.64/6.90  tot:  45        37      (45.1% true)
% 6.64/6.90  
% 6.64/6.90  
% 6.64/6.90  Model 35 [ 41 2 9029 ] (0.00 seconds, 250000 Inserts)
% 6.64/6.90  
% 6.64/6.90  That finishes the proof of the theorem.
% 6.64/6.90  
% 6.64/6.90  Process 31096 finished Mon Jul 11 20:42:31 2022
%------------------------------------------------------------------------------