TSTP Solution File: SYN220-1 by SOS---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SOS---2.0
% Problem  : SYN220-1 : TPTP v8.1.0. Released v1.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : sos-script %s

% Computer : n020.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 5.20s 5.47s
% Output   : Refutation 5.20s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem  : SYN220-1 : TPTP v8.1.0. Released v1.1.0.
% 0.03/0.12  % Command  : sos-script %s
% 0.12/0.33  % Computer : n020.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 16:24:12 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.18/0.36  ----- Otter 3.2, August 2001 -----
% 0.18/0.36  The process was started by sandbox on n020.cluster.edu,
% 0.18/0.36  Mon Jul 11 16:24:12 2022
% 0.18/0.36  The command was "./sos".  The process ID is 22248.
% 0.18/0.36  
% 0.18/0.36  set(prolog_style_variables).
% 0.18/0.36  set(auto).
% 0.18/0.36     dependent: set(auto1).
% 0.18/0.36     dependent: set(process_input).
% 0.18/0.36     dependent: clear(print_kept).
% 0.18/0.36     dependent: clear(print_new_demod).
% 0.18/0.36     dependent: clear(print_back_demod).
% 0.18/0.36     dependent: clear(print_back_sub).
% 0.18/0.36     dependent: set(control_memory).
% 0.18/0.36     dependent: assign(max_mem, 12000).
% 0.18/0.36     dependent: assign(pick_given_ratio, 4).
% 0.18/0.36     dependent: assign(stats_level, 1).
% 0.18/0.36     dependent: assign(pick_semantic_ratio, 3).
% 0.18/0.36     dependent: assign(sos_limit, 5000).
% 0.18/0.36     dependent: assign(max_weight, 60).
% 0.18/0.36  clear(print_given).
% 0.18/0.36  
% 0.18/0.36  list(usable).
% 0.18/0.36  
% 0.18/0.36  SCAN INPUT: prop=0, horn=1, equality=0, symmetry=0, max_lits=5.
% 0.18/0.36  
% 0.18/0.36  This is a Horn set without equality.  The strategy will
% 0.18/0.36  be hyperresolution, with satellites in sos and nuclei
% 0.18/0.36  in usable.
% 0.18/0.36  
% 0.18/0.36     dependent: set(hyper_res).
% 0.18/0.36     dependent: clear(order_hyper).
% 0.18/0.36  
% 0.18/0.36  ------------> process usable:
% 0.18/0.36    Following clause subsumed by 13 during input processing: 0 [] {-} m1(A,A,A)| -q0(B,C)| -q0(B,A).
% 0.18/0.36    Following clause subsumed by 14 during input processing: 0 [] {-} m1(A,A,A)| -m0(B,C,A).
% 0.18/0.36    Following clause subsumed by 14 during input processing: 0 [] {-} m1(A,A,A)| -l0(A)| -k0(A)| -m0(A,A,A).
% 0.18/0.36    Following clause subsumed by 12 during input processing: 0 [] {-} m1(e,e,e)| -r0(e).
% 0.18/0.36    Following clause subsumed by 63 during input processing: 0 [] {-} p1(A,A,A)| -n0(e,b)| -k0(b)| -k0(A)| -k1(B).
% 0.18/0.36    Following clause subsumed by 64 during input processing: 0 [] {-} p1(A,A,B)| -p0(B,A)| -r0(A).
% 0.18/0.36    Following clause subsumed by 63 during input processing: 0 [] {-} p1(e,e,e)| -r0(e)| -k0(e).
% 0.18/0.36    Following clause subsumed by 88 during input processing: 0 [] {-} q1(A,A,A)| -s0(A)| -m0(B,B,C).
% 0.18/0.36    Following clause subsumed by 88 during input processing: 0 [] {-} q1(A,A,A)| -s0(A).
% 0.18/0.36    Following clause subsumed by 88 during input processing: 0 [] {-} q1(d,d,d)| -k0(e)| -s0(d).
% 0.18/0.36    Following clause subsumed by 105 during input processing: 0 [] {-} q1(b,b,b)| -r0(b).
% 0.18/0.36    Following clause subsumed by 99 during input processing: 0 [] {-} q1(A,A,A)| -m0(B,C,A).
% 0.18/0.36    Following clause subsumed by 99 during input processing: 0 [] {-} q1(A,A,A)| -m0(A,B,A).
% 0.18/0.36    Following clause subsumed by 105 during input processing: 0 [] {-} q1(A,A,A)| -m0(c,A,A)| -r0(A).
% 0.18/0.36    Following clause subsumed by 142 during input processing: 0 [] {-} p2(A,A,A)| -s1(A)| -k1(A).
% 0.18/0.36    Following clause subsumed by 224 during input processing: 0 [] {-} p3(A,A,A)| -n2(A)| -q2(B,C,A)| -s1(B).
% 0.18/0.36    Following clause subsumed by 224 during input processing: 0 [] {-} p3(A,A,A)| -k1(A)| -n2(A).
% 0.18/0.36  13 back subsumes 9.
% 0.18/0.36  14 back subsumes 6.
% 0.18/0.36  28 back subsumes 21.
% 0.18/0.36  28 back subsumes 17.
% 0.18/0.36  40 back subsumes 39.
% 0.18/0.36  52 back subsumes 51.
% 0.18/0.36  77 back subsumes 68.
% 0.18/0.36  77 back subsumes 65.
% 0.18/0.36  142 back subsumes 134.
% 0.18/0.36  194 back subsumes 180.
% 0.18/0.36  216 back subsumes 213.
% 0.18/0.36  216 back subsumes 212.
% 0.18/0.36  244 back subsumes 239.
% 0.18/0.36  
% 0.18/0.36  ------------> process sos:
% 0.18/0.36    Following clause subsumed by 321 during input processing: 0 [] {-} p0(b,c).
% 0.18/0.36    Following clause subsumed by 324 during input processing: 0 [] {-} q0(d,d).
% 0.18/0.36  321 back subsumes 317.
% 0.18/0.36  324 back subsumes 309.
% 0.18/0.36  326 back subsumes 315.
% 0.18/0.36  326 back subsumes 311.
% 0.18/0.36  
% 0.18/0.36  ======= end of input processing =======
% 0.18/0.43  
% 0.18/0.43  Model 1 (0.00 seconds, 0 Inserts)
% 0.18/0.43  
% 0.18/0.43  Stopped by limit on number of solutions
% 0.18/0.43  
% 0.18/0.43  
% 0.18/0.43  -------------- Softie stats --------------
% 0.18/0.43  
% 0.18/0.43  UPDATE_STOP: 300
% 0.18/0.43  SFINDER_TIME_LIMIT: 2
% 0.18/0.43  SHORT_CLAUSE_CUTOFF: 4
% 0.18/0.43  number of clauses in intial UL: 294
% 0.18/0.43  number of clauses initially in problem: 326
% 0.18/0.43  percentage of clauses intially in UL: 90
% 0.18/0.43  percentage of distinct symbols occuring in initial UL: 100
% 0.18/0.43  percent of all initial clauses that are short: 100
% 0.18/0.43  absolute distinct symbol count: 53
% 0.18/0.43     distinct predicate count: 48
% 0.18/0.43     distinct function count: 0
% 0.18/0.43     distinct constant count: 5
% 0.18/0.43  
% 0.18/0.43  ---------- no more Softie stats ----------
% 0.18/0.43  
% 0.18/0.43  
% 0.18/0.43  
% 0.18/0.43  Model 2 (0.00 seconds, 0 Inserts)
% 0.18/0.43  
% 0.18/0.43  Stopped by limit on number of solutions
% 0.18/0.43  
% 0.18/0.43  =========== start of search ===========
% 5.20/5.47  
% 5.20/5.47  -------- PROOF -------- 
% 5.20/5.47  % SZS status Unsatisfiable
% 5.20/5.47  % SZS output start Refutation
% 5.20/5.47  
% 5.20/5.47  Stopped by limit on insertions
% 5.20/5.47  
% 5.20/5.47  Model 3 [ 2 2 5713 ] (0.00 seconds, 250000 Inserts)
% 5.20/5.47  
% 5.20/5.47  Stopped by limit on insertions
% 5.20/5.47  
% 5.20/5.47  Model 4 [ 2 2 5697 ] (0.00 seconds, 250000 Inserts)
% 5.20/5.47  
% 5.20/5.47  Stopped by limit on insertions
% 5.20/5.47  
% 5.20/5.47  Model 5 [ 3 3 10027 ] (0.00 seconds, 250000 Inserts)
% 5.20/5.47  
% 5.20/5.47  Stopped by limit on insertions
% 5.20/5.47  
% 5.20/5.47  Model 6 [ 4 2 5258 ] (0.00 seconds, 250000 Inserts)
% 5.20/5.47  
% 5.20/5.47  Stopped by limit on insertions
% 5.20/5.47  
% 5.20/5.47  Model 7 [ 4 2 6154 ] (0.00 seconds, 250000 Inserts)
% 5.20/5.47  
% 5.20/5.47  Stopped by limit on insertions
% 5.20/5.47  
% 5.20/5.47  Model 8 [ 7 2 4211 ] (0.00 seconds, 250000 Inserts)
% 5.20/5.47  
% 5.20/5.47  Stopped by limit on insertions
% 5.20/5.47  
% 5.20/5.47  Model 9 [ 8 2 2016 ] (0.00 seconds, 250000 Inserts)
% 5.20/5.47  
% 5.20/5.47  Stopped by limit on insertions
% 5.20/5.47  
% 5.20/5.47  Model 10 [ 8 2 3915 ] (0.00 seconds, 250000 Inserts)
% 5.20/5.47  
% 5.20/5.47  Stopped by limit on insertions
% 5.20/5.47  
% 5.20/5.47  Model 11 [ 15 2 3272 ] (0.00 seconds, 250000 Inserts)
% 5.20/5.47  
% 5.20/5.47  Stopped by limit on insertions
% 5.20/5.47  
% 5.20/5.47  Model 12 [ 18 1 3214 ] (0.00 seconds, 250000 Inserts)
% 5.20/5.47  
% 5.20/5.47  Stopped by limit on insertions
% 5.20/5.47  
% 5.20/5.47  Model 13 [ 18 2 3086 ] (0.00 seconds, 250000 Inserts)
% 5.20/5.47  
% 5.20/5.47  Stopped by limit on insertions
% 5.20/5.47  
% 5.20/5.47  Model 14 [ 19 3 9696 ] (0.00 seconds, 250000 Inserts)
% 5.20/5.47  
% 5.20/5.47  Stopped by limit on insertions
% 5.20/5.47  
% 5.20/5.47  Model 15 [ 19 2 5551 ] (0.00 seconds, 250000 Inserts)
% 5.20/5.47  
% 5.20/5.47  Stopped by limit on insertions
% 5.20/5.47  
% 5.20/5.47  Model 16 [ 24 2 8641 ] (0.00 seconds, 250000 Inserts)
% 5.20/5.47  
% 5.20/5.47  Stopped by limit on insertions
% 5.20/5.47  
% 5.20/5.47  Model 17 [ 26 3 10378 ] (0.00 seconds, 250000 Inserts)
% 5.20/5.47  
% 5.20/5.47  Stopped by limit on insertions
% 5.20/5.47  
% 5.20/5.47  Model 18 [ 21 2 7093 ] (0.00 seconds, 250000 Inserts)
% 5.20/5.47  
% 5.20/5.47  Stopped by limit on insertions
% 5.20/5.47  
% 5.20/5.47  Model 19 [ 23 2 5420 ] (0.00 seconds, 250000 Inserts)
% 5.20/5.47  
% 5.20/5.47  Stopped by limit on insertions
% 5.20/5.47  
% 5.20/5.47  Model 20 [ 19 3 14827 ] (0.00 seconds, 250000 Inserts)
% 5.20/5.47  
% 5.20/5.47  Stopped by limit on insertions
% 5.20/5.47  
% 5.20/5.47  Model 21 [ 38 2 3569 ] (0.00 seconds, 250000 Inserts)
% 5.20/5.47  
% 5.20/5.47  Stopped by limit on insertions
% 5.20/5.47  
% 5.20/5.47  Model 22 [ 29 2 9840 ] (0.00 seconds, 250000 Inserts)
% 5.20/5.47  
% 5.20/5.47  Stopped by limit on insertions
% 5.20/5.47  
% 5.20/5.47  Model 23 [ 32 2 2242 ] (0.00 seconds, 250000 Inserts)
% 5.20/5.47  
% 5.20/5.47  Stopped by limit on insertions
% 5.20/5.47  
% 5.20/5.47  Model 24 [ 39 2 5441 ] (0.00 seconds, 250000 Inserts)
% 5.20/5.47  
% 5.20/5.47  Stopped by limit on insertions
% 5.20/5.47  
% 5.20/5.47  Model 25 [ 36 2 6797 ] (0.00 seconds, 250000 Inserts)
% 5.20/5.47  
% 5.20/5.47  Stopped by limit on insertions
% 5.20/5.47  
% 5.20/5.47  Model 26 [ 36 2 6946 ] (0.00 seconds, 250000 Inserts)
% 5.20/5.47  
% 5.20/5.47  Stopped by limit on insertions
% 5.20/5.47  
% 5.20/5.47  Model 27 [ 31 2 6926 ] (0.00 seconds, 250000 Inserts)
% 5.20/5.47  
% 5.20/5.47  Stopped by limit on insertions
% 5.20/5.47  
% 5.20/5.47  Model 28 [ 40 2 2611 ] (0.00 seconds, 250000 Inserts)
% 5.20/5.47  
% 5.20/5.47  Stopped by limit on insertions
% 5.20/5.47  
% 5.20/5.47  Model 29 [ 35 2 6734 ] (0.00 seconds, 250000 Inserts)
% 5.20/5.47  
% 5.20/5.47  ----> UNIT CONFLICT at   5.10 sec ----> 444 [binary,443.1,307.1] {-} $F.
% 5.20/5.47  
% 5.20/5.47  Length of proof is 5.  Level of proof is 4.
% 5.20/5.47  
% 5.20/5.47  ---------------- PROOF ----------------
% 5.20/5.47  % SZS status Unsatisfiable
% 5.20/5.47  % SZS output start Refutation
% 5.20/5.47  
% 5.20/5.47  2 [] {+} l1(A,A)| -n0(B,A).
% 5.20/5.47  109 [] {+} s1(A)| -p0(A,A).
% 5.20/5.47  110 [] {+} s1(A)| -q0(A,B)| -s1(C).
% 5.20/5.47  172 [] {+} s2(d)| -s1(a)| -s0(d).
% 5.20/5.47  200 [] {+} l3(A,A)| -s2(B)| -l1(A,A).
% 5.20/5.47  307 [] {+} -l3(A,b).
% 5.20/5.47  308 [] {+} s0(d).
% 5.20/5.47  314 [] {-} n0(d,b).
% 5.20/5.47  321 [] {-} p0(b,A).
% 5.20/5.47  324 [] {+} q0(A,d).
% 5.20/5.47  373 [hyper,314,2] {+} l1(b,b).
% 5.20/5.47  377 [hyper,321,109] {+} s1(b).
% 5.20/5.47  397 [hyper,324,110,377] {+} s1(A).
% 5.20/5.47  401 [hyper,397,172,308] {+} s2(d).
% 5.20/5.47  443 [hyper,373,200,401] {-} l3(b,b).
% 5.20/5.47  444 [binary,443.1,307.1] {-} $F.
% 5.20/5.47  
% 5.20/5.47  % SZS output end Refutation
% 5.20/5.47  ------------ end of proof -------------
% 5.20/5.47  
% 5.20/5.47  
% 5.20/5.47  Search stopped by max_proofs option.
% 5.20/5.47  
% 5.20/5.47  
% 5.20/5.47  Search stopped by max_proofs option.
% 5.20/5.47  
% 5.20/5.47  ============ end of search ============
% 5.20/5.47  
% 5.20/5.47  ----------- soft-scott stats ----------
% 5.20/5.47  
% 5.20/5.47  true clauses given           3      (7.5%)
% 5.20/5.47  false clauses given         37
% 5.20/5.47  
% 5.20/5.47        FALSE     TRUE
% 5.20/5.47     2  0         1
% 5.20/5.47     3  3         4
% 5.20/5.47     4  22        29
% 5.20/5.47  tot:  25        34      (57.6% true)
% 5.20/5.47  
% 5.20/5.47  
% 5.20/5.47  Model 29 [ 35 2 6734 ] (0.00 seconds, 250000 Inserts)
% 5.20/5.47  
% 5.20/5.47  That finishes the proof of the theorem.
% 5.20/5.47  
% 5.20/5.47  Process 22248 finished Mon Jul 11 16:24:18 2022
%------------------------------------------------------------------------------