TSTP Solution File: SYN223-1 by SOS---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SOS---2.0
% Problem  : SYN223-1 : TPTP v8.1.0. Released v1.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : sos-script %s

% Computer : n005.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 12:11:01 EDT 2022

% Result   : Unsatisfiable 6.75s 6.98s
% Output   : Refutation 6.75s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11  % Problem  : SYN223-1 : TPTP v8.1.0. Released v1.1.0.
% 0.11/0.12  % Command  : sos-script %s
% 0.13/0.33  % Computer : n005.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 600
% 0.13/0.33  % DateTime : Mon Jul 11 12:28:37 EDT 2022
% 0.13/0.33  % CPUTime  : 
% 0.13/0.37  ----- Otter 3.2, August 2001 -----
% 0.13/0.37  The process was started by sandbox on n005.cluster.edu,
% 0.13/0.37  Mon Jul 11 12:28:37 2022
% 0.13/0.37  The command was "./sos".  The process ID is 28236.
% 0.13/0.37  
% 0.13/0.37  set(prolog_style_variables).
% 0.13/0.37  set(auto).
% 0.13/0.37     dependent: set(auto1).
% 0.13/0.37     dependent: set(process_input).
% 0.13/0.37     dependent: clear(print_kept).
% 0.13/0.37     dependent: clear(print_new_demod).
% 0.13/0.37     dependent: clear(print_back_demod).
% 0.13/0.37     dependent: clear(print_back_sub).
% 0.13/0.37     dependent: set(control_memory).
% 0.13/0.37     dependent: assign(max_mem, 12000).
% 0.13/0.37     dependent: assign(pick_given_ratio, 4).
% 0.13/0.37     dependent: assign(stats_level, 1).
% 0.13/0.37     dependent: assign(pick_semantic_ratio, 3).
% 0.13/0.37     dependent: assign(sos_limit, 5000).
% 0.13/0.37     dependent: assign(max_weight, 60).
% 0.13/0.37  clear(print_given).
% 0.13/0.37  
% 0.13/0.37  list(usable).
% 0.13/0.37  
% 0.13/0.37  SCAN INPUT: prop=0, horn=1, equality=0, symmetry=0, max_lits=5.
% 0.13/0.37  
% 0.13/0.37  This is a Horn set without equality.  The strategy will
% 0.13/0.37  be hyperresolution, with satellites in sos and nuclei
% 0.13/0.37  in usable.
% 0.13/0.37  
% 0.13/0.37     dependent: set(hyper_res).
% 0.13/0.37     dependent: clear(order_hyper).
% 0.13/0.37  
% 0.13/0.37  ------------> process usable:
% 0.13/0.37    Following clause subsumed by 13 during input processing: 0 [] {-} m1(A,A,A)| -q0(B,C)| -q0(B,A).
% 0.13/0.37    Following clause subsumed by 14 during input processing: 0 [] {-} m1(A,A,A)| -m0(B,C,A).
% 0.13/0.37    Following clause subsumed by 14 during input processing: 0 [] {-} m1(A,A,A)| -l0(A)| -k0(A)| -m0(A,A,A).
% 0.13/0.37    Following clause subsumed by 12 during input processing: 0 [] {-} m1(e,e,e)| -r0(e).
% 0.13/0.37    Following clause subsumed by 63 during input processing: 0 [] {-} p1(A,A,A)| -n0(e,b)| -k0(b)| -k0(A)| -k1(B).
% 0.13/0.37    Following clause subsumed by 64 during input processing: 0 [] {-} p1(A,A,B)| -p0(B,A)| -r0(A).
% 0.13/0.37    Following clause subsumed by 63 during input processing: 0 [] {-} p1(e,e,e)| -r0(e)| -k0(e).
% 0.13/0.37    Following clause subsumed by 88 during input processing: 0 [] {-} q1(A,A,A)| -s0(A)| -m0(B,B,C).
% 0.13/0.37    Following clause subsumed by 88 during input processing: 0 [] {-} q1(A,A,A)| -s0(A).
% 0.13/0.37    Following clause subsumed by 88 during input processing: 0 [] {-} q1(d,d,d)| -k0(e)| -s0(d).
% 0.13/0.37    Following clause subsumed by 105 during input processing: 0 [] {-} q1(b,b,b)| -r0(b).
% 0.13/0.37    Following clause subsumed by 99 during input processing: 0 [] {-} q1(A,A,A)| -m0(B,C,A).
% 0.13/0.37    Following clause subsumed by 99 during input processing: 0 [] {-} q1(A,A,A)| -m0(A,B,A).
% 0.13/0.37    Following clause subsumed by 105 during input processing: 0 [] {-} q1(A,A,A)| -m0(c,A,A)| -r0(A).
% 0.13/0.37    Following clause subsumed by 142 during input processing: 0 [] {-} p2(A,A,A)| -s1(A)| -k1(A).
% 0.13/0.37    Following clause subsumed by 224 during input processing: 0 [] {-} p3(A,A,A)| -n2(A)| -q2(B,C,A)| -s1(B).
% 0.13/0.37    Following clause subsumed by 224 during input processing: 0 [] {-} p3(A,A,A)| -k1(A)| -n2(A).
% 0.13/0.37  13 back subsumes 9.
% 0.13/0.37  14 back subsumes 6.
% 0.13/0.37  28 back subsumes 21.
% 0.13/0.37  28 back subsumes 17.
% 0.13/0.37  40 back subsumes 39.
% 0.13/0.37  52 back subsumes 51.
% 0.13/0.37  77 back subsumes 68.
% 0.13/0.37  77 back subsumes 65.
% 0.13/0.37  142 back subsumes 134.
% 0.13/0.37  194 back subsumes 180.
% 0.13/0.37  216 back subsumes 213.
% 0.13/0.37  216 back subsumes 212.
% 0.13/0.37  244 back subsumes 239.
% 0.13/0.37  307 back subsumes 223.
% 0.13/0.37  
% 0.13/0.37  ------------> process sos:
% 0.13/0.37    Following clause subsumed by 321 during input processing: 0 [] {-} p0(b,c).
% 0.13/0.37    Following clause subsumed by 324 during input processing: 0 [] {-} q0(d,d).
% 0.13/0.37  321 back subsumes 317.
% 0.13/0.37  324 back subsumes 309.
% 0.13/0.37  326 back subsumes 315.
% 0.13/0.37  326 back subsumes 311.
% 0.13/0.37  
% 0.13/0.37  ======= 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: 293
% 0.19/0.48  number of clauses initially in problem: 325
% 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  Model 2 (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  =========== start of search ===========
% 6.75/6.98  
% 6.75/6.98  -------- PROOF -------- 
% 6.75/6.98  % SZS status Unsatisfiable
% 6.75/6.98  % SZS output start Refutation
% 6.75/6.98  
% 6.75/6.98  Model 3 (0.00 seconds, 0 Inserts)
% 6.75/6.98  
% 6.75/6.98  Stopped by limit on number of solutions
% 6.75/6.98  
% 6.75/6.98  Model 4 (0.00 seconds, 0 Inserts)
% 6.75/6.98  
% 6.75/6.98  Stopped by limit on number of solutions
% 6.75/6.98  
% 6.75/6.98  Stopped by limit on insertions
% 6.75/6.98  
% 6.75/6.98  Model 5 [ 4 2 3156 ] (0.00 seconds, 250000 Inserts)
% 6.75/6.98  
% 6.75/6.98  Stopped by limit on insertions
% 6.75/6.98  
% 6.75/6.98  Model 6 [ 5 2 7199 ] (0.00 seconds, 250000 Inserts)
% 6.75/6.98  
% 6.75/6.98  Stopped by limit on insertions
% 6.75/6.98  
% 6.75/6.98  Model 7 [ 7 1 2296 ] (0.00 seconds, 250000 Inserts)
% 6.75/6.98  
% 6.75/6.98  Stopped by limit on insertions
% 6.75/6.98  
% 6.75/6.98  Model 8 [ 8 2 2621 ] (0.00 seconds, 250000 Inserts)
% 6.75/6.98  
% 6.75/6.98  Stopped by limit on insertions
% 6.75/6.98  
% 6.75/6.98  Model 9 [ 7 2 6242 ] (0.00 seconds, 250000 Inserts)
% 6.75/6.98  
% 6.75/6.98  Stopped by limit on insertions
% 6.75/6.98  
% 6.75/6.98  Model 10 [ 8 2 5824 ] (0.00 seconds, 250000 Inserts)
% 6.75/6.98  
% 6.75/6.98  Stopped by limit on insertions
% 6.75/6.98  
% 6.75/6.98  Model 11 [ 7 3 12052 ] (0.00 seconds, 250000 Inserts)
% 6.75/6.98  
% 6.75/6.98  Stopped by limit on insertions
% 6.75/6.98  
% 6.75/6.98  Model 12 [ 12 2 7356 ] (0.00 seconds, 250000 Inserts)
% 6.75/6.98  
% 6.75/6.98  Stopped by limit on insertions
% 6.75/6.98  
% 6.75/6.98  Model 13 [ 8 2 5497 ] (0.00 seconds, 250000 Inserts)
% 6.75/6.98  
% 6.75/6.98  Stopped by limit on insertions
% 6.75/6.98  
% 6.75/6.98  Model 14 [ 13 2 8706 ] (0.00 seconds, 250000 Inserts)
% 6.75/6.98  
% 6.75/6.98  Stopped by limit on insertions
% 6.75/6.98  
% 6.75/6.98  Model 15 [ 16 2 3237 ] (0.00 seconds, 250000 Inserts)
% 6.75/6.98  
% 6.75/6.98  Stopped by limit on insertions
% 6.75/6.98  
% 6.75/6.98  Model 16 [ 19 2 5175 ] (0.00 seconds, 250000 Inserts)
% 6.75/6.98  
% 6.75/6.98  Stopped by limit on insertions
% 6.75/6.98  
% 6.75/6.98  Model 17 [ 21 1 2668 ] (0.00 seconds, 250000 Inserts)
% 6.75/6.98  
% 6.75/6.98  Stopped by limit on insertions
% 6.75/6.98  
% 6.75/6.98  Model 18 [ 19 2 3253 ] (0.00 seconds, 250000 Inserts)
% 6.75/6.98  
% 6.75/6.98  Stopped by limit on insertions
% 6.75/6.98  
% 6.75/6.98  Model 19 [ 19 3 8716 ] (0.00 seconds, 250000 Inserts)
% 6.75/6.98  
% 6.75/6.98  Stopped by limit on insertions
% 6.75/6.98  
% 6.75/6.98  Model 20 [ 27 1 3165 ] (0.00 seconds, 250000 Inserts)
% 6.75/6.98  
% 6.75/6.98  Stopped by limit on insertions
% 6.75/6.98  
% 6.75/6.98  Model 21 [ 25 2 6457 ] (0.00 seconds, 250000 Inserts)
% 6.75/6.98  
% 6.75/6.98  Stopped by limit on insertions
% 6.75/6.98  
% 6.75/6.98  Model 22 [ 28 2 5841 ] (0.00 seconds, 250000 Inserts)
% 6.75/6.98  
% 6.75/6.98  Stopped by limit on insertions
% 6.75/6.98  
% 6.75/6.98  Model 23 [ 31 2 5141 ] (0.00 seconds, 250000 Inserts)
% 6.75/6.98  
% 6.75/6.98  Stopped by limit on insertions
% 6.75/6.98  
% 6.75/6.98  Model 24 [ 24 3 13173 ] (0.00 seconds, 250000 Inserts)
% 6.75/6.98  
% 6.75/6.98  Stopped by limit on insertions
% 6.75/6.98  
% 6.75/6.98  Model 25 [ 37 2 6821 ] (0.00 seconds, 250000 Inserts)
% 6.75/6.98  
% 6.75/6.98  Stopped by limit on insertions
% 6.75/6.98  
% 6.75/6.98  Model 26 [ 30 2 5130 ] (0.00 seconds, 250000 Inserts)
% 6.75/6.98  
% 6.75/6.98  Stopped by limit on insertions
% 6.75/6.98  
% 6.75/6.98  Model 27 [ 40 2 3776 ] (0.00 seconds, 250000 Inserts)
% 6.75/6.98  
% 6.75/6.98  Stopped by limit on insertions
% 6.75/6.98  
% 6.75/6.98  Model 28 [ 30 2 1854 ] (0.00 seconds, 250000 Inserts)
% 6.75/6.98  
% 6.75/6.98  Stopped by limit on insertions
% 6.75/6.98  
% 6.75/6.98  Model 29 [ 37 2 5008 ] (0.00 seconds, 250000 Inserts)
% 6.75/6.98  
% 6.75/6.98  Stopped by limit on insertions
% 6.75/6.98  
% 6.75/6.98  Model 30 [ 43 2 4442 ] (0.00 seconds, 250000 Inserts)
% 6.75/6.98  
% 6.75/6.98  Stopped by limit on insertions
% 6.75/6.98  
% 6.75/6.98  Model 31 [ 43 1 3182 ] (0.00 seconds, 250000 Inserts)
% 6.75/6.98  
% 6.75/6.98  Stopped by limit on insertions
% 6.75/6.98  
% 6.75/6.98  Model 32 [ 42 2 7005 ] (0.00 seconds, 250000 Inserts)
% 6.75/6.98  
% 6.75/6.98  Stopped by limit on insertions
% 6.75/6.98  
% 6.75/6.98  Model 33 [ 40 2 7447 ] (0.00 seconds, 250000 Inserts)
% 6.75/6.98  
% 6.75/6.98  Stopped by limit on insertions
% 6.75/6.98  
% 6.75/6.98  Model 34 [ 44 2 6811 ] (0.00 seconds, 250000 Inserts)
% 6.75/6.98  
% 6.75/6.98  Stopped by limit on insertions
% 6.75/6.98  
% 6.75/6.98  Model 35 [ 44 2 5432 ] (0.00 seconds, 250000 Inserts)
% 6.75/6.98  
% 6.75/6.98  ----> UNIT CONFLICT at   6.59 sec ----> 474 [binary,473.1,307.1] {-} $F.
% 6.75/6.98  
% 6.75/6.98  Length of proof is 5.  Level of proof is 4.
% 6.75/6.98  
% 6.75/6.98  ---------------- PROOF ----------------
% 6.75/6.98  % SZS status Unsatisfiable
% 6.75/6.98  % SZS output start Refutation
% 6.75/6.98  
% 6.75/6.98  2 [] {+} l1(A,A)| -n0(B,A).
% 6.75/6.98  109 [] {+} s1(A)| -p0(A,A).
% 6.75/6.98  110 [] {+} s1(A)| -q0(A,B)| -s1(C).
% 6.75/6.98  172 [] {+} s2(d)| -s1(a)| -s0(d).
% 6.75/6.98  200 [] {+} l3(A,A)| -s2(B)| -l1(A,A).
% 6.75/6.98  307 [] {+} -l3(A,e).
% 6.75/6.98  308 [] {+} s0(d).
% 6.75/6.98  310 [] {-} n0(d,e).
% 6.75/6.98  321 [] {-} p0(b,A).
% 6.75/6.98  324 [] {+} q0(A,d).
% 6.75/6.98  360 [hyper,310,2] {+} l1(e,e).
% 6.75/6.98  377 [hyper,321,109] {+} s1(b).
% 6.75/6.98  395 [hyper,324,110,377] {+} s1(A).
% 6.75/6.98  399 [hyper,395,172,308] {+} s2(d).
% 6.75/6.98  473 [hyper,360,200,399] {-} l3(e,e).
% 6.75/6.98  474 [binary,473.1,307.1] {-} $F.
% 6.75/6.98  
% 6.75/6.98  % SZS output end Refutation
% 6.75/6.98  ------------ end of proof -------------
% 6.75/6.98  
% 6.75/6.98  
% 6.75/6.98  Search stopped by max_proofs option.
% 6.75/6.98  
% 6.75/6.98  
% 6.75/6.98  Search stopped by max_proofs option.
% 6.75/6.98  
% 6.75/6.98  ============ end of search ============
% 6.75/6.98  
% 6.75/6.98  ----------- soft-scott stats ----------
% 6.75/6.98  
% 6.75/6.98  true clauses given           4      (9.3%)
% 6.75/6.98  false clauses given         39
% 6.75/6.98  
% 6.75/6.98        FALSE     TRUE
% 6.75/6.98     3  2         4
% 6.75/6.98     4  34        40
% 6.75/6.98  tot:  36        44      (55.0% true)
% 6.75/6.98  
% 6.75/6.98  
% 6.75/6.98  Model 35 [ 44 2 5432 ] (0.00 seconds, 250000 Inserts)
% 6.75/6.98  
% 6.75/6.98  That finishes the proof of the theorem.
% 6.75/6.98  
% 6.75/6.98  Process 28236 finished Mon Jul 11 12:28:43 2022
%------------------------------------------------------------------------------