TSTP Solution File: SYN224-1 by SOS---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SOS---2.0
% Problem  : SYN224-1 : TPTP v8.1.0. Released v1.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : sos-script %s

% Computer : n004.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 7.35s 7.53s
% Output   : Refutation 7.35s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SYN224-1 : TPTP v8.1.0. Released v1.1.0.
% 0.07/0.13  % Command  : sos-script %s
% 0.12/0.34  % Computer : n004.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 600
% 0.12/0.34  % DateTime : Mon Jul 11 13:47:37 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.12/0.38  ----- Otter 3.2, August 2001 -----
% 0.12/0.38  The process was started by sandbox2 on n004.cluster.edu,
% 0.12/0.38  Mon Jul 11 13:47:37 2022
% 0.12/0.38  The command was "./sos".  The process ID is 9812.
% 0.12/0.38  
% 0.12/0.38  set(prolog_style_variables).
% 0.12/0.38  set(auto).
% 0.12/0.38     dependent: set(auto1).
% 0.12/0.38     dependent: set(process_input).
% 0.12/0.38     dependent: clear(print_kept).
% 0.12/0.38     dependent: clear(print_new_demod).
% 0.12/0.38     dependent: clear(print_back_demod).
% 0.12/0.38     dependent: clear(print_back_sub).
% 0.12/0.38     dependent: set(control_memory).
% 0.12/0.38     dependent: assign(max_mem, 12000).
% 0.12/0.38     dependent: assign(pick_given_ratio, 4).
% 0.12/0.38     dependent: assign(stats_level, 1).
% 0.12/0.38     dependent: assign(pick_semantic_ratio, 3).
% 0.12/0.38     dependent: assign(sos_limit, 5000).
% 0.12/0.38     dependent: assign(max_weight, 60).
% 0.12/0.38  clear(print_given).
% 0.12/0.38  
% 0.12/0.38  list(usable).
% 0.12/0.38  
% 0.12/0.38  SCAN INPUT: prop=0, horn=1, equality=0, symmetry=0, max_lits=5.
% 0.12/0.38  
% 0.12/0.38  This is a Horn set without equality.  The strategy will
% 0.12/0.38  be hyperresolution, with satellites in sos and nuclei
% 0.12/0.38  in usable.
% 0.12/0.38  
% 0.12/0.38     dependent: set(hyper_res).
% 0.12/0.38     dependent: clear(order_hyper).
% 0.12/0.38  
% 0.12/0.38  ------------> process usable:
% 0.12/0.38    Following clause subsumed by 13 during input processing: 0 [] {-} m1(A,A,A)| -q0(B,C)| -q0(B,A).
% 0.12/0.38    Following clause subsumed by 14 during input processing: 0 [] {-} m1(A,A,A)| -m0(B,C,A).
% 0.12/0.38    Following clause subsumed by 14 during input processing: 0 [] {-} m1(A,A,A)| -l0(A)| -k0(A)| -m0(A,A,A).
% 0.12/0.38    Following clause subsumed by 12 during input processing: 0 [] {-} m1(e,e,e)| -r0(e).
% 0.12/0.38    Following clause subsumed by 63 during input processing: 0 [] {-} p1(A,A,A)| -n0(e,b)| -k0(b)| -k0(A)| -k1(B).
% 0.12/0.38    Following clause subsumed by 64 during input processing: 0 [] {-} p1(A,A,B)| -p0(B,A)| -r0(A).
% 0.12/0.38    Following clause subsumed by 63 during input processing: 0 [] {-} p1(e,e,e)| -r0(e)| -k0(e).
% 0.12/0.38    Following clause subsumed by 88 during input processing: 0 [] {-} q1(A,A,A)| -s0(A)| -m0(B,B,C).
% 0.12/0.38    Following clause subsumed by 88 during input processing: 0 [] {-} q1(A,A,A)| -s0(A).
% 0.12/0.38    Following clause subsumed by 88 during input processing: 0 [] {-} q1(d,d,d)| -k0(e)| -s0(d).
% 0.12/0.38    Following clause subsumed by 105 during input processing: 0 [] {-} q1(b,b,b)| -r0(b).
% 0.12/0.38    Following clause subsumed by 99 during input processing: 0 [] {-} q1(A,A,A)| -m0(B,C,A).
% 0.12/0.38    Following clause subsumed by 99 during input processing: 0 [] {-} q1(A,A,A)| -m0(A,B,A).
% 0.12/0.38    Following clause subsumed by 105 during input processing: 0 [] {-} q1(A,A,A)| -m0(c,A,A)| -r0(A).
% 0.12/0.38    Following clause subsumed by 142 during input processing: 0 [] {-} p2(A,A,A)| -s1(A)| -k1(A).
% 0.12/0.38    Following clause subsumed by 224 during input processing: 0 [] {-} p3(A,A,A)| -n2(A)| -q2(B,C,A)| -s1(B).
% 0.12/0.38    Following clause subsumed by 224 during input processing: 0 [] {-} p3(A,A,A)| -k1(A)| -n2(A).
% 0.12/0.38  13 back subsumes 9.
% 0.12/0.38  14 back subsumes 6.
% 0.12/0.38  28 back subsumes 21.
% 0.12/0.38  28 back subsumes 17.
% 0.12/0.38  40 back subsumes 39.
% 0.12/0.38  52 back subsumes 51.
% 0.12/0.38  77 back subsumes 68.
% 0.12/0.38  77 back subsumes 65.
% 0.12/0.38  142 back subsumes 134.
% 0.12/0.38  194 back subsumes 180.
% 0.12/0.38  216 back subsumes 213.
% 0.12/0.38  216 back subsumes 212.
% 0.12/0.38  244 back subsumes 239.
% 0.12/0.38  
% 0.12/0.38  ------------> process sos:
% 0.12/0.38    Following clause subsumed by 321 during input processing: 0 [] {-} p0(b,c).
% 0.12/0.38    Following clause subsumed by 324 during input processing: 0 [] {-} q0(d,d).
% 0.12/0.38  321 back subsumes 317.
% 0.12/0.38  324 back subsumes 309.
% 0.12/0.38  326 back subsumes 315.
% 0.12/0.38  326 back subsumes 311.
% 0.12/0.38  
% 0.12/0.38  ======= 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  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 ===========
% 7.35/7.53  
% 7.35/7.53  -------- PROOF -------- 
% 7.35/7.53  % SZS status Unsatisfiable
% 7.35/7.53  % SZS output start Refutation
% 7.35/7.53  
% 7.35/7.53  Model 3 (0.00 seconds, 0 Inserts)
% 7.35/7.53  
% 7.35/7.53  Stopped by limit on number of solutions
% 7.35/7.53  
% 7.35/7.53  Model 4 (0.00 seconds, 0 Inserts)
% 7.35/7.53  
% 7.35/7.53  Stopped by limit on number of solutions
% 7.35/7.53  
% 7.35/7.53  Stopped by limit on insertions
% 7.35/7.53  
% 7.35/7.53  Model 5 [ 3 3 6452 ] (0.00 seconds, 250000 Inserts)
% 7.35/7.53  
% 7.35/7.53  Model 6 [ 4 2 3578 ] (0.00 seconds, 22714 Inserts)
% 7.35/7.53  
% 7.35/7.53  Stopped by limit on insertions
% 7.35/7.53  
% 7.35/7.53  Model 7 [ 1 2 2960 ] (0.00 seconds, 250000 Inserts)
% 7.35/7.53  
% 7.35/7.53  Stopped by limit on insertions
% 7.35/7.53  
% 7.35/7.53  Model 8 [ 3 2 4917 ] (0.00 seconds, 250000 Inserts)
% 7.35/7.53  
% 7.35/7.53  Stopped by limit on insertions
% 7.35/7.53  
% 7.35/7.53  Model 9 [ 6 1 2659 ] (0.00 seconds, 250000 Inserts)
% 7.35/7.53  
% 7.35/7.53  Stopped by limit on insertions
% 7.35/7.53  
% 7.35/7.53  Model 10 [ 5 1 3116 ] (0.00 seconds, 250000 Inserts)
% 7.35/7.53  
% 7.35/7.53  Stopped by limit on insertions
% 7.35/7.53  
% 7.35/7.53  Model 11 [ 5 2 6337 ] (0.00 seconds, 250000 Inserts)
% 7.35/7.53  
% 7.35/7.53  Stopped by limit on insertions
% 7.35/7.53  
% 7.35/7.53  Model 12 [ 2 3 9719 ] (0.00 seconds, 250000 Inserts)
% 7.35/7.53  
% 7.35/7.53  Stopped by limit on insertions
% 7.35/7.53  
% 7.35/7.53  Model 13 [ 12 2 4356 ] (0.00 seconds, 250000 Inserts)
% 7.35/7.53  
% 7.35/7.53  Stopped by limit on insertions
% 7.35/7.53  
% 7.35/7.53  Model 14 [ 11 3 7249 ] (0.00 seconds, 250000 Inserts)
% 7.35/7.53  
% 7.35/7.53  Stopped by limit on insertions
% 7.35/7.53  
% 7.35/7.53  Model 15 [ 11 2 5984 ] (0.00 seconds, 250000 Inserts)
% 7.35/7.53  
% 7.35/7.53  Stopped by limit on insertions
% 7.35/7.53  
% 7.35/7.53  Model 16 [ 9 3 15659 ] (0.00 seconds, 250000 Inserts)
% 7.35/7.53  
% 7.35/7.53  Stopped by limit on insertions
% 7.35/7.53  
% 7.35/7.53  Model 17 [ 18 1 3737 ] (0.00 seconds, 250000 Inserts)
% 7.35/7.53  
% 7.35/7.53  Stopped by limit on insertions
% 7.35/7.53  
% 7.35/7.53  Model 18 [ 18 1 5857 ] (0.00 seconds, 250000 Inserts)
% 7.35/7.53  
% 7.35/7.53  Stopped by limit on insertions
% 7.35/7.53  
% 7.35/7.53  Model 19 [ 20 2 8275 ] (0.00 seconds, 250000 Inserts)
% 7.35/7.53  
% 7.35/7.53  Stopped by limit on insertions
% 7.35/7.53  
% 7.35/7.53  Model 20 [ 15 2 5545 ] (0.00 seconds, 250000 Inserts)
% 7.35/7.53  
% 7.35/7.53  Stopped by limit on insertions
% 7.35/7.53  
% 7.35/7.53  Model 21 [ 16 2 3642 ] (0.00 seconds, 250000 Inserts)
% 7.35/7.53  
% 7.35/7.53  Stopped by limit on insertions
% 7.35/7.53  
% 7.35/7.53  Model 22 [ 21 2 3690 ] (0.00 seconds, 250000 Inserts)
% 7.35/7.53  
% 7.35/7.53  Stopped by limit on insertions
% 7.35/7.53  
% 7.35/7.53  Model 23 [ 24 2 4883 ] (0.00 seconds, 250000 Inserts)
% 7.35/7.53  
% 7.35/7.53  Stopped by limit on insertions
% 7.35/7.53  
% 7.35/7.53  Model 24 [ 14 2 8427 ] (0.00 seconds, 250000 Inserts)
% 7.35/7.53  
% 7.35/7.53  Stopped by limit on insertions
% 7.35/7.53  
% 7.35/7.53  Model 25 [ 27 2 5932 ] (0.00 seconds, 250000 Inserts)
% 7.35/7.53  
% 7.35/7.53  Stopped by limit on insertions
% 7.35/7.53  
% 7.35/7.53  Model 26 [ 27 2 3419 ] (0.00 seconds, 250000 Inserts)
% 7.35/7.53  
% 7.35/7.53  Stopped by limit on insertions
% 7.35/7.53  
% 7.35/7.53  Model 27 [ 20 4 11491 ] (0.00 seconds, 250000 Inserts)
% 7.35/7.53  
% 7.35/7.53  Stopped by limit on insertions
% 7.35/7.53  
% 7.35/7.53  Model 28 [ 19 3 13768 ] (0.00 seconds, 250000 Inserts)
% 7.35/7.53  
% 7.35/7.53  Stopped by limit on insertions
% 7.35/7.53  
% 7.35/7.53  Model 29 [ 26 1 3984 ] (0.00 seconds, 250000 Inserts)
% 7.35/7.53  
% 7.35/7.53  Stopped by limit on insertions
% 7.35/7.53  
% 7.35/7.53  Model 30 [ 29 2 8881 ] (0.00 seconds, 250000 Inserts)
% 7.35/7.53  
% 7.35/7.53  Stopped by limit on insertions
% 7.35/7.53  
% 7.35/7.53  Stopped by limit on insertions
% 7.35/7.53  
% 7.35/7.53  Model 31 [ 39 2 2896 ] (0.00 seconds, 250000 Inserts)
% 7.35/7.53  
% 7.35/7.53  Stopped by limit on insertions
% 7.35/7.53  
% 7.35/7.53  Model 32 [ 35 2 6088 ] (0.00 seconds, 250000 Inserts)
% 7.35/7.53  
% 7.35/7.53  Stopped by limit on insertions
% 7.35/7.53  
% 7.35/7.53  Model 33 [ 33 2 5819 ] (0.00 seconds, 250000 Inserts)
% 7.35/7.53  
% 7.35/7.53  Stopped by limit on insertions
% 7.35/7.53  
% 7.35/7.53  Model 34 [ 25 2 5776 ] (0.00 seconds, 250000 Inserts)
% 7.35/7.53  
% 7.35/7.53  Stopped by limit on insertions
% 7.35/7.53  
% 7.35/7.53  Model 35 [ 45 2 5027 ] (0.00 seconds, 250000 Inserts)
% 7.35/7.53  
% 7.35/7.53  Stopped by limit on insertions
% 7.35/7.53  
% 7.35/7.53  Model 36 [ 35 2 6483 ] (0.00 seconds, 250000 Inserts)
% 7.35/7.53  
% 7.35/7.53  Stopped by limit on insertions
% 7.35/7.53  
% 7.35/7.53  Model 37 [ 37 1 2651 ] (0.00 seconds, 250000 Inserts)
% 7.35/7.53  
% 7.35/7.53  Stopped by limit on insertions
% 7.35/7.53  
% 7.35/7.53  Model 38 [ 48 2 3670 ] (0.00 seconds, 250000 Inserts)
% 7.35/7.53  
% 7.35/7.53  Stopped by limit on insertions
% 7.35/7.53  
% 7.35/7.53  Model 39 [ 29 3 8926 ] (0.00 seconds, 250000 Inserts)
% 7.35/7.53  
% 7.35/7.53  Stopped by limit on insertions
% 7.35/7.53  
% 7.35/7.53  Model 40 [ 46 2 3783 ] (0.00 seconds, 250000 Inserts)
% 7.35/7.53  
% 7.35/7.53  ----> UNIT CONFLICT at   7.13 sec ----> 475 [binary,474.1,307.1] {+} $F.
% 7.35/7.53  
% 7.35/7.53  Length of proof is 5.  Level of proof is 4.
% 7.35/7.53  
% 7.35/7.53  ---------------- PROOF ----------------
% 7.35/7.53  % SZS status Unsatisfiable
% 7.35/7.53  % SZS output start Refutation
% 7.35/7.53  
% 7.35/7.53  2 [] {+} l1(A,A)| -n0(B,A).
% 7.35/7.53  109 [] {+} s1(A)| -p0(A,A).
% 7.35/7.53  110 [] {+} s1(A)| -q0(A,B)| -s1(C).
% 7.35/7.53  172 [] {+} s2(d)| -s1(a)| -s0(d).
% 7.35/7.53  200 [] {+} l3(A,A)| -s2(B)| -l1(A,A).
% 7.35/7.53  307 [] {+} -l3(a,A).
% 7.35/7.53  308 [] {+} s0(d).
% 7.35/7.53  321 [] {-} p0(b,A).
% 7.35/7.53  324 [] {+} q0(A,d).
% 7.35/7.53  342 [] {-} n0(b,a).
% 7.35/7.53  374 [hyper,321,109] {+} s1(b).
% 7.35/7.53  395 [hyper,374,110,324] {+} s1(A).
% 7.35/7.53  396 [hyper,395,172,308] {+} s2(d).
% 7.35/7.53  430 [hyper,342,2] {+} l1(a,a).
% 7.35/7.53  474 [hyper,430,200,396] {-} l3(a,a).
% 7.35/7.53  475 [binary,474.1,307.1] {+} $F.
% 7.35/7.53  
% 7.35/7.53  % SZS output end Refutation
% 7.35/7.53  ------------ end of proof -------------
% 7.35/7.53  
% 7.35/7.53  
% 7.35/7.53  Search stopped by max_proofs option.
% 7.35/7.53  
% 7.35/7.53  
% 7.35/7.53  Search stopped by max_proofs option.
% 7.35/7.53  
% 7.35/7.53  ============ end of search ============
% 7.35/7.53  
% 7.35/7.53  ----------- soft-scott stats ----------
% 7.35/7.53  
% 7.35/7.53  true clauses given           3      (6.7%)
% 7.35/7.53  false clauses given         42
% 7.35/7.53  
% 7.35/7.53        FALSE     TRUE
% 7.35/7.53     3  5         3
% 7.35/7.53     4  23        47
% 7.35/7.53  tot:  28        50      (64.1% true)
% 7.35/7.53  
% 7.35/7.53  
% 7.35/7.53  Model 40 [ 46 2 3783 ] (0.00 seconds, 250000 Inserts)
% 7.35/7.53  
% 7.35/7.53  That finishes the proof of the theorem.
% 7.35/7.53  
% 7.35/7.53  Process 9812 finished Mon Jul 11 13:47:44 2022
%------------------------------------------------------------------------------