TSTP Solution File: SYN216-1 by SOS---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SOS---2.0
% Problem  : SYN216-1 : TPTP v8.1.0. Released v1.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : sos-script %s

% Computer : n006.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 12:10:58 EDT 2022

% Result   : Unsatisfiable 3.93s 4.13s
% Output   : Refutation 3.93s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14  % Problem  : SYN216-1 : TPTP v8.1.0. Released v1.1.0.
% 0.08/0.15  % Command  : sos-script %s
% 0.15/0.37  % Computer : n006.cluster.edu
% 0.15/0.37  % Model    : x86_64 x86_64
% 0.15/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37  % Memory   : 8042.1875MB
% 0.15/0.37  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37  % CPULimit : 300
% 0.15/0.37  % WCLimit  : 600
% 0.15/0.37  % DateTime : Mon Jul 11 20:23:05 EDT 2022
% 0.15/0.37  % CPUTime  : 
% 0.15/0.41  ----- Otter 3.2, August 2001 -----
% 0.15/0.41  The process was started by sandbox2 on n006.cluster.edu,
% 0.15/0.41  Mon Jul 11 20:23:05 2022
% 0.15/0.41  The command was "./sos".  The process ID is 10618.
% 0.15/0.41  
% 0.15/0.41  set(prolog_style_variables).
% 0.15/0.41  set(auto).
% 0.15/0.41     dependent: set(auto1).
% 0.15/0.41     dependent: set(process_input).
% 0.15/0.41     dependent: clear(print_kept).
% 0.15/0.41     dependent: clear(print_new_demod).
% 0.15/0.41     dependent: clear(print_back_demod).
% 0.15/0.41     dependent: clear(print_back_sub).
% 0.15/0.41     dependent: set(control_memory).
% 0.15/0.41     dependent: assign(max_mem, 12000).
% 0.15/0.41     dependent: assign(pick_given_ratio, 4).
% 0.15/0.41     dependent: assign(stats_level, 1).
% 0.15/0.41     dependent: assign(pick_semantic_ratio, 3).
% 0.15/0.41     dependent: assign(sos_limit, 5000).
% 0.15/0.41     dependent: assign(max_weight, 60).
% 0.15/0.41  clear(print_given).
% 0.15/0.41  
% 0.15/0.41  list(usable).
% 0.15/0.41  
% 0.15/0.41  SCAN INPUT: prop=0, horn=1, equality=0, symmetry=0, max_lits=5.
% 0.15/0.41  
% 0.15/0.41  This is a Horn set without equality.  The strategy will
% 0.15/0.41  be hyperresolution, with satellites in sos and nuclei
% 0.15/0.41  in usable.
% 0.15/0.41  
% 0.15/0.41     dependent: set(hyper_res).
% 0.15/0.41     dependent: clear(order_hyper).
% 0.15/0.41  
% 0.15/0.41  ------------> process usable:
% 0.15/0.41    Following clause subsumed by 13 during input processing: 0 [] {-} m1(A,A,A)| -q0(B,C)| -q0(B,A).
% 0.15/0.41    Following clause subsumed by 14 during input processing: 0 [] {-} m1(A,A,A)| -m0(B,C,A).
% 0.15/0.41    Following clause subsumed by 14 during input processing: 0 [] {-} m1(A,A,A)| -l0(A)| -k0(A)| -m0(A,A,A).
% 0.15/0.41    Following clause subsumed by 12 during input processing: 0 [] {-} m1(e,e,e)| -r0(e).
% 0.15/0.41    Following clause subsumed by 63 during input processing: 0 [] {-} p1(A,A,A)| -n0(e,b)| -k0(b)| -k0(A)| -k1(B).
% 0.15/0.41    Following clause subsumed by 64 during input processing: 0 [] {-} p1(A,A,B)| -p0(B,A)| -r0(A).
% 0.15/0.41    Following clause subsumed by 63 during input processing: 0 [] {-} p1(e,e,e)| -r0(e)| -k0(e).
% 0.15/0.41    Following clause subsumed by 88 during input processing: 0 [] {-} q1(A,A,A)| -s0(A)| -m0(B,B,C).
% 0.15/0.41    Following clause subsumed by 88 during input processing: 0 [] {-} q1(A,A,A)| -s0(A).
% 0.15/0.41    Following clause subsumed by 88 during input processing: 0 [] {-} q1(d,d,d)| -k0(e)| -s0(d).
% 0.15/0.41    Following clause subsumed by 105 during input processing: 0 [] {-} q1(b,b,b)| -r0(b).
% 0.15/0.41    Following clause subsumed by 99 during input processing: 0 [] {-} q1(A,A,A)| -m0(B,C,A).
% 0.15/0.41    Following clause subsumed by 99 during input processing: 0 [] {-} q1(A,A,A)| -m0(A,B,A).
% 0.15/0.41    Following clause subsumed by 105 during input processing: 0 [] {-} q1(A,A,A)| -m0(c,A,A)| -r0(A).
% 0.15/0.41    Following clause subsumed by 142 during input processing: 0 [] {-} p2(A,A,A)| -s1(A)| -k1(A).
% 0.15/0.41    Following clause subsumed by 224 during input processing: 0 [] {-} p3(A,A,A)| -n2(A)| -q2(B,C,A)| -s1(B).
% 0.15/0.41    Following clause subsumed by 224 during input processing: 0 [] {-} p3(A,A,A)| -k1(A)| -n2(A).
% 0.15/0.41  13 back subsumes 9.
% 0.15/0.41  14 back subsumes 6.
% 0.15/0.41  28 back subsumes 21.
% 0.15/0.41  28 back subsumes 17.
% 0.15/0.41  40 back subsumes 39.
% 0.15/0.41  52 back subsumes 51.
% 0.15/0.41  77 back subsumes 68.
% 0.15/0.41  77 back subsumes 65.
% 0.15/0.41  142 back subsumes 134.
% 0.15/0.41  194 back subsumes 180.
% 0.15/0.41  216 back subsumes 213.
% 0.15/0.41  216 back subsumes 212.
% 0.15/0.41  244 back subsumes 239.
% 0.15/0.41  307 back subsumes 206.
% 0.15/0.41  
% 0.15/0.41  ------------> process sos:
% 0.15/0.41    Following clause subsumed by 321 during input processing: 0 [] {-} p0(b,c).
% 0.15/0.41    Following clause subsumed by 324 during input processing: 0 [] {-} q0(d,d).
% 0.15/0.41  321 back subsumes 317.
% 0.15/0.41  324 back subsumes 309.
% 0.15/0.41  326 back subsumes 315.
% 0.15/0.41  326 back subsumes 311.
% 0.15/0.41  
% 0.15/0.41  ======= end of input processing =======
% 0.22/0.52  
% 0.22/0.52  Model 1 (0.00 seconds, 0 Inserts)
% 0.22/0.52  
% 0.22/0.52  Stopped by limit on number of solutions
% 0.22/0.52  
% 0.22/0.52  
% 0.22/0.52  -------------- Softie stats --------------
% 0.22/0.52  
% 0.22/0.52  UPDATE_STOP: 300
% 0.22/0.52  SFINDER_TIME_LIMIT: 2
% 0.22/0.52  SHORT_CLAUSE_CUTOFF: 4
% 0.22/0.52  number of clauses in intial UL: 293
% 0.22/0.52  number of clauses initially in problem: 325
% 0.22/0.52  percentage of clauses intially in UL: 90
% 0.22/0.52  percentage of distinct symbols occuring in initial UL: 100
% 0.22/0.52  percent of all initial clauses that are short: 100
% 0.22/0.52  absolute distinct symbol count: 53
% 0.22/0.52     distinct predicate count: 48
% 0.22/0.52     distinct function count: 0
% 0.22/0.52     distinct constant count: 5
% 0.22/0.52  
% 0.22/0.52  ---------- no more Softie stats ----------
% 0.22/0.52  
% 0.22/0.52  
% 0.22/0.52  
% 0.22/0.52  Model 2 (0.00 seconds, 0 Inserts)
% 0.22/0.52  
% 0.22/0.52  Stopped by limit on number of solutions
% 0.22/0.52  
% 0.22/0.52  =========== start of search ===========
% 3.93/4.13  
% 3.93/4.13  -------- PROOF -------- 
% 3.93/4.13  % SZS status Unsatisfiable
% 3.93/4.13  % SZS output start Refutation
% 3.93/4.13  
% 3.93/4.13  Model 3 (0.00 seconds, 0 Inserts)
% 3.93/4.13  
% 3.93/4.13  Stopped by limit on number of solutions
% 3.93/4.13  
% 3.93/4.13  Model 4 (0.00 seconds, 0 Inserts)
% 3.93/4.13  
% 3.93/4.13  Stopped by limit on number of solutions
% 3.93/4.13  
% 3.93/4.13  Stopped by limit on insertions
% 3.93/4.13  
% 3.93/4.13  Model 5 [ 1 4 14962 ] (0.00 seconds, 250000 Inserts)
% 3.93/4.13  
% 3.93/4.13  Stopped by limit on insertions
% 3.93/4.13  
% 3.93/4.13  Model 6 [ 1 3 10050 ] (0.00 seconds, 250000 Inserts)
% 3.93/4.13  
% 3.93/4.13  Stopped by limit on insertions
% 3.93/4.13  
% 3.93/4.13  Model 7 [ 3 2 4093 ] (0.00 seconds, 250000 Inserts)
% 3.93/4.13  
% 3.93/4.13  Stopped by limit on insertions
% 3.93/4.13  
% 3.93/4.13  Model 8 [ 2 2 2864 ] (0.00 seconds, 250000 Inserts)
% 3.93/4.13  
% 3.93/4.13  Stopped by limit on insertions
% 3.93/4.13  
% 3.93/4.13  Model 9 [ 3 1 4384 ] (0.00 seconds, 250000 Inserts)
% 3.93/4.13  
% 3.93/4.13  Stopped by limit on insertions
% 3.93/4.13  
% 3.93/4.13  Model 10 [ 8 1 4923 ] (0.00 seconds, 250000 Inserts)
% 3.93/4.13  
% 3.93/4.13  Stopped by limit on insertions
% 3.93/4.13  
% 3.93/4.13  Model 11 [ 4 2 6379 ] (0.00 seconds, 250000 Inserts)
% 3.93/4.13  
% 3.93/4.13  Stopped by limit on insertions
% 3.93/4.13  
% 3.93/4.13  Model 12 [ 5 1 3580 ] (0.00 seconds, 250000 Inserts)
% 3.93/4.13  
% 3.93/4.13  Stopped by limit on insertions
% 3.93/4.13  
% 3.93/4.13  Model 13 [ 5 2 6186 ] (0.00 seconds, 250000 Inserts)
% 3.93/4.13  
% 3.93/4.13  Stopped by limit on insertions
% 3.93/4.13  
% 3.93/4.13  Model 14 [ 4 2 7440 ] (0.00 seconds, 250000 Inserts)
% 3.93/4.13  
% 3.93/4.13  Stopped by limit on insertions
% 3.93/4.13  
% 3.93/4.13  Model 15 [ 4 3 14405 ] (0.00 seconds, 250000 Inserts)
% 3.93/4.13  
% 3.93/4.13  Stopped by limit on insertions
% 3.93/4.13  
% 3.93/4.13  Model 16 [ 13 1 4717 ] (0.00 seconds, 250000 Inserts)
% 3.93/4.13  
% 3.93/4.13  Stopped by limit on insertions
% 3.93/4.13  
% 3.93/4.13  Model 17 [ 10 2 10043 ] (0.00 seconds, 250000 Inserts)
% 3.93/4.13  
% 3.93/4.13  Stopped by limit on insertions
% 3.93/4.13  
% 3.93/4.13  Stopped by limit on insertions
% 3.93/4.13  
% 3.93/4.13  Model 18 [ 15 1 6139 ] (0.00 seconds, 250000 Inserts)
% 3.93/4.13  
% 3.93/4.13  Stopped by limit on insertions
% 3.93/4.13  
% 3.93/4.13  Model 19 [ 13 2 10161 ] (0.00 seconds, 250000 Inserts)
% 3.93/4.13  
% 3.93/4.13  Stopped by limit on insertions
% 3.93/4.13  
% 3.93/4.13  Model 20 [ 15 2 5672 ] (0.00 seconds, 250000 Inserts)
% 3.93/4.13  
% 3.93/4.13  Stopped by limit on insertions
% 3.93/4.13  
% 3.93/4.13  Model 21 [ 15 2 9413 ] (0.00 seconds, 250000 Inserts)
% 3.93/4.13  
% 3.93/4.13  Stopped by limit on insertions
% 3.93/4.13  
% 3.93/4.13  Model 22 [ 17 2 4856 ] (0.00 seconds, 250000 Inserts)
% 3.93/4.13  
% 3.93/4.13  Stopped by limit on insertions
% 3.93/4.13  
% 3.93/4.13  Model 23 [ 19 1 4006 ] (0.00 seconds, 250000 Inserts)
% 3.93/4.13  
% 3.93/4.13  ----> UNIT CONFLICT at   3.71 sec ----> 409 [binary,408.1,307.1] {-} $F.
% 3.93/4.13  
% 3.93/4.13  Length of proof is 2.  Level of proof is 2.
% 3.93/4.13  
% 3.93/4.13  ---------------- PROOF ----------------
% 3.93/4.13  % SZS status Unsatisfiable
% 3.93/4.13  % SZS output start Refutation
% 3.93/4.13  
% 3.93/4.13  109 [] {+} s1(A)| -p0(A,A).
% 3.93/4.13  116 [] {+} l2(A,A)| -p0(B,B)| -s1(C)| -m0(D,C,A).
% 3.93/4.13  307 [] {+} -l2(a,a).
% 3.93/4.13  321 [] {+} p0(b,A).
% 3.93/4.13  323 [] {+} m0(c,b,a).
% 3.93/4.13  377 [hyper,321,109] {+} s1(b).
% 3.93/4.13  408 [hyper,377,116,321,323] {-} l2(a,a).
% 3.93/4.13  409 [binary,408.1,307.1] {-} $F.
% 3.93/4.13  
% 3.93/4.13  % SZS output end Refutation
% 3.93/4.13  ------------ end of proof -------------
% 3.93/4.13  
% 3.93/4.13  
% 3.93/4.13  Search stopped by max_proofs option.
% 3.93/4.13  
% 3.93/4.13  
% 3.93/4.13  Search stopped by max_proofs option.
% 3.93/4.13  
% 3.93/4.13  ============ end of search ============
% 3.93/4.13  
% 3.93/4.13  ----------- soft-scott stats ----------
% 3.93/4.13  
% 3.93/4.13  true clauses given           2      (8.0%)
% 3.93/4.13  false clauses given         23
% 3.93/4.13  
% 3.93/4.13        FALSE     TRUE
% 3.93/4.13     3  9         0
% 3.93/4.13     4  9         35
% 3.93/4.13  tot:  18        35      (66.0% true)
% 3.93/4.13  
% 3.93/4.13  
% 3.93/4.13  Model 23 [ 19 1 4006 ] (0.00 seconds, 250000 Inserts)
% 3.93/4.13  
% 3.93/4.13  That finishes the proof of the theorem.
% 3.93/4.13  
% 3.93/4.13  Process 10618 finished Mon Jul 11 20:23:09 2022
%------------------------------------------------------------------------------