TSTP Solution File: SYN279-1 by SOS---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SOS---2.0
% Problem  : SYN279-1 : TPTP v8.1.0. Released v1.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : sos-script %s

% Computer : n025.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 12:11:23 EDT 2022

% Result   : Unsatisfiable 5.71s 5.91s
% Output   : Refutation 5.71s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.07  % Problem  : SYN279-1 : TPTP v8.1.0. Released v1.1.0.
% 0.00/0.07  % Command  : sos-script %s
% 0.06/0.26  % Computer : n025.cluster.edu
% 0.06/0.26  % Model    : x86_64 x86_64
% 0.06/0.26  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.26  % Memory   : 8042.1875MB
% 0.06/0.26  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.06/0.26  % CPULimit : 300
% 0.06/0.26  % WCLimit  : 600
% 0.06/0.26  % DateTime : Tue Jul 12 09:09:48 EDT 2022
% 0.06/0.26  % CPUTime  : 
% 0.06/0.30  ----- Otter 3.2, August 2001 -----
% 0.06/0.30  The process was started by sandbox2 on n025.cluster.edu,
% 0.06/0.30  Tue Jul 12 09:09:48 2022
% 0.06/0.30  The command was "./sos".  The process ID is 32530.
% 0.06/0.30  
% 0.06/0.30  set(prolog_style_variables).
% 0.06/0.30  set(auto).
% 0.06/0.30     dependent: set(auto1).
% 0.06/0.30     dependent: set(process_input).
% 0.06/0.30     dependent: clear(print_kept).
% 0.06/0.30     dependent: clear(print_new_demod).
% 0.06/0.30     dependent: clear(print_back_demod).
% 0.06/0.30     dependent: clear(print_back_sub).
% 0.06/0.30     dependent: set(control_memory).
% 0.06/0.30     dependent: assign(max_mem, 12000).
% 0.06/0.30     dependent: assign(pick_given_ratio, 4).
% 0.06/0.30     dependent: assign(stats_level, 1).
% 0.06/0.30     dependent: assign(pick_semantic_ratio, 3).
% 0.06/0.30     dependent: assign(sos_limit, 5000).
% 0.06/0.30     dependent: assign(max_weight, 60).
% 0.06/0.30  clear(print_given).
% 0.06/0.30  
% 0.06/0.30  list(usable).
% 0.06/0.30  
% 0.06/0.30  SCAN INPUT: prop=0, horn=1, equality=0, symmetry=0, max_lits=5.
% 0.06/0.30  
% 0.06/0.30  This is a Horn set without equality.  The strategy will
% 0.06/0.30  be hyperresolution, with satellites in sos and nuclei
% 0.06/0.30  in usable.
% 0.06/0.30  
% 0.06/0.30     dependent: set(hyper_res).
% 0.06/0.30     dependent: clear(order_hyper).
% 0.06/0.30  
% 0.06/0.30  ------------> process usable:
% 0.06/0.30    Following clause subsumed by 13 during input processing: 0 [] {-} m1(A,A,A)| -q0(B,C)| -q0(B,A).
% 0.06/0.30    Following clause subsumed by 14 during input processing: 0 [] {-} m1(A,A,A)| -m0(B,C,A).
% 0.06/0.30    Following clause subsumed by 14 during input processing: 0 [] {-} m1(A,A,A)| -l0(A)| -k0(A)| -m0(A,A,A).
% 0.06/0.30    Following clause subsumed by 12 during input processing: 0 [] {-} m1(e,e,e)| -r0(e).
% 0.06/0.30    Following clause subsumed by 63 during input processing: 0 [] {-} p1(A,A,A)| -n0(e,b)| -k0(b)| -k0(A)| -k1(B).
% 0.06/0.30    Following clause subsumed by 64 during input processing: 0 [] {-} p1(A,A,B)| -p0(B,A)| -r0(A).
% 0.06/0.30    Following clause subsumed by 63 during input processing: 0 [] {-} p1(e,e,e)| -r0(e)| -k0(e).
% 0.06/0.30    Following clause subsumed by 88 during input processing: 0 [] {-} q1(A,A,A)| -s0(A)| -m0(B,B,C).
% 0.06/0.30    Following clause subsumed by 88 during input processing: 0 [] {-} q1(A,A,A)| -s0(A).
% 0.06/0.30    Following clause subsumed by 88 during input processing: 0 [] {-} q1(d,d,d)| -k0(e)| -s0(d).
% 0.06/0.30    Following clause subsumed by 105 during input processing: 0 [] {-} q1(b,b,b)| -r0(b).
% 0.06/0.30    Following clause subsumed by 99 during input processing: 0 [] {-} q1(A,A,A)| -m0(B,C,A).
% 0.06/0.30    Following clause subsumed by 99 during input processing: 0 [] {-} q1(A,A,A)| -m0(A,B,A).
% 0.06/0.30    Following clause subsumed by 105 during input processing: 0 [] {-} q1(A,A,A)| -m0(c,A,A)| -r0(A).
% 0.06/0.30    Following clause subsumed by 142 during input processing: 0 [] {-} p2(A,A,A)| -s1(A)| -k1(A).
% 0.06/0.30    Following clause subsumed by 224 during input processing: 0 [] {-} p3(A,A,A)| -n2(A)| -q2(B,C,A)| -s1(B).
% 0.06/0.30    Following clause subsumed by 224 during input processing: 0 [] {-} p3(A,A,A)| -k1(A)| -n2(A).
% 0.06/0.30  13 back subsumes 9.
% 0.06/0.30  14 back subsumes 6.
% 0.06/0.30  28 back subsumes 21.
% 0.06/0.30  28 back subsumes 17.
% 0.06/0.30  40 back subsumes 39.
% 0.06/0.30  52 back subsumes 51.
% 0.06/0.30  77 back subsumes 68.
% 0.06/0.30  77 back subsumes 65.
% 0.06/0.30  142 back subsumes 134.
% 0.06/0.30  194 back subsumes 180.
% 0.06/0.30  216 back subsumes 213.
% 0.06/0.30  216 back subsumes 212.
% 0.06/0.30  244 back subsumes 239.
% 0.06/0.30  
% 0.06/0.30  ------------> process sos:
% 0.06/0.30    Following clause subsumed by 321 during input processing: 0 [] {-} p0(b,c).
% 0.06/0.30    Following clause subsumed by 324 during input processing: 0 [] {-} q0(d,d).
% 0.06/0.30  321 back subsumes 317.
% 0.06/0.30  324 back subsumes 309.
% 0.06/0.30  326 back subsumes 315.
% 0.06/0.30  326 back subsumes 311.
% 0.06/0.30  
% 0.06/0.30  ======= end of input processing =======
% 0.11/0.43  
% 0.11/0.43  Model 1 (0.00 seconds, 0 Inserts)
% 0.11/0.43  
% 0.11/0.43  Stopped by limit on number of solutions
% 0.11/0.43  
% 0.11/0.43  
% 0.11/0.43  -------------- Softie stats --------------
% 0.11/0.43  
% 0.11/0.43  UPDATE_STOP: 300
% 0.11/0.43  SFINDER_TIME_LIMIT: 2
% 0.11/0.43  SHORT_CLAUSE_CUTOFF: 4
% 0.11/0.43  number of clauses in intial UL: 294
% 0.11/0.43  number of clauses initially in problem: 326
% 0.11/0.43  percentage of clauses intially in UL: 90
% 0.11/0.43  percentage of distinct symbols occuring in initial UL: 100
% 0.11/0.43  percent of all initial clauses that are short: 100
% 0.11/0.43  absolute distinct symbol count: 53
% 0.11/0.43     distinct predicate count: 48
% 0.11/0.43     distinct function count: 0
% 0.11/0.43     distinct constant count: 5
% 0.11/0.43  
% 0.11/0.43  ---------- no more Softie stats ----------
% 0.11/0.43  
% 0.11/0.43  
% 0.11/0.43  
% 0.11/0.43  Model 2 (0.00 seconds, 0 Inserts)
% 0.11/0.43  
% 0.11/0.43  Stopped by limit on number of solutions
% 0.11/0.43  
% 0.11/0.43  =========== start of search ===========
% 5.71/5.91  
% 5.71/5.91  -------- PROOF -------- 
% 5.71/5.91  % SZS status Unsatisfiable
% 5.71/5.91  % SZS output start Refutation
% 5.71/5.91  
% 5.71/5.91  Stopped by limit on insertions
% 5.71/5.91  
% 5.71/5.91  Model 3 (0.00 seconds, 0 Inserts)
% 5.71/5.91  
% 5.71/5.91  Stopped by limit on number of solutions
% 5.71/5.91  
% 5.71/5.91  Stopped by limit on insertions
% 5.71/5.91  
% 5.71/5.91  Model 4 [ 2 2 3123 ] (0.00 seconds, 250000 Inserts)
% 5.71/5.91  
% 5.71/5.91  Stopped by limit on insertions
% 5.71/5.91  
% 5.71/5.91  Model 5 [ 2 2 4139 ] (0.00 seconds, 250000 Inserts)
% 5.71/5.91  
% 5.71/5.91  Stopped by limit on insertions
% 5.71/5.91  
% 5.71/5.91  Model 6 [ 2 3 7099 ] (0.00 seconds, 250000 Inserts)
% 5.71/5.91  
% 5.71/5.91  Stopped by limit on insertions
% 5.71/5.91  
% 5.71/5.91  Model 7 [ 3 2 4439 ] (0.00 seconds, 250000 Inserts)
% 5.71/5.91  
% 5.71/5.91  Stopped by limit on insertions
% 5.71/5.91  
% 5.71/5.91  Model 8 [ 4 2 3262 ] (0.00 seconds, 250000 Inserts)
% 5.71/5.91  
% 5.71/5.91  Stopped by limit on insertions
% 5.71/5.91  
% 5.71/5.91  Model 9 [ 2 2 6614 ] (0.00 seconds, 250000 Inserts)
% 5.71/5.91  
% 5.71/5.91  Stopped by limit on insertions
% 5.71/5.91  
% 5.71/5.91  Model 10 [ 6 2 7671 ] (0.00 seconds, 250000 Inserts)
% 5.71/5.91  
% 5.71/5.91  Stopped by limit on insertions
% 5.71/5.91  
% 5.71/5.91  Model 11 [ 3 3 6990 ] (0.00 seconds, 250000 Inserts)
% 5.71/5.91  
% 5.71/5.91  Stopped by limit on insertions
% 5.71/5.91  
% 5.71/5.91  Model 12 [ 5 3 8930 ] (0.00 seconds, 250000 Inserts)
% 5.71/5.91  
% 5.71/5.91  Stopped by limit on insertions
% 5.71/5.91  
% 5.71/5.91  Model 13 [ 9 2 4206 ] (0.00 seconds, 250000 Inserts)
% 5.71/5.91  
% 5.71/5.91  Stopped by limit on insertions
% 5.71/5.91  
% 5.71/5.91  Model 14 [ 10 2 4868 ] (0.00 seconds, 250000 Inserts)
% 5.71/5.91  
% 5.71/5.91  Stopped by limit on insertions
% 5.71/5.91  
% 5.71/5.91  Model 15 [ 11 2 5994 ] (0.00 seconds, 250000 Inserts)
% 5.71/5.91  
% 5.71/5.91  Stopped by limit on insertions
% 5.71/5.91  
% 5.71/5.91  Model 16 [ 10 2 4603 ] (0.00 seconds, 250000 Inserts)
% 5.71/5.91  
% 5.71/5.91  Stopped by limit on insertions
% 5.71/5.91  
% 5.71/5.91  Model 17 [ 13 2 8041 ] (0.00 seconds, 250000 Inserts)
% 5.71/5.91  
% 5.71/5.91  Stopped by limit on insertions
% 5.71/5.91  
% 5.71/5.91  Model 18 [ 17 2 3343 ] (0.00 seconds, 250000 Inserts)
% 5.71/5.91  
% 5.71/5.91  Stopped by limit on insertions
% 5.71/5.91  
% 5.71/5.91  Model 19 [ 15 2 7548 ] (0.00 seconds, 250000 Inserts)
% 5.71/5.91  
% 5.71/5.91  Stopped by limit on insertions
% 5.71/5.91  
% 5.71/5.91  Model 20 [ 13 2 5702 ] (0.00 seconds, 250000 Inserts)
% 5.71/5.91  
% 5.71/5.91  Stopped by limit on insertions
% 5.71/5.91  
% 5.71/5.91  Model 21 [ 10 3 9694 ] (0.00 seconds, 250000 Inserts)
% 5.71/5.91  
% 5.71/5.91  Stopped by limit on insertions
% 5.71/5.91  
% 5.71/5.91  Model 22 [ 13 2 8391 ] (0.00 seconds, 250000 Inserts)
% 5.71/5.91  
% 5.71/5.91  Stopped by limit on insertions
% 5.71/5.91  
% 5.71/5.91  Model 23 [ 10 2 7622 ] (0.00 seconds, 250000 Inserts)
% 5.71/5.91  
% 5.71/5.91  Stopped by limit on insertions
% 5.71/5.91  
% 5.71/5.91  Model 24 [ 19 2 10719 ] (0.00 seconds, 250000 Inserts)
% 5.71/5.91  
% 5.71/5.91  Stopped by limit on insertions
% 5.71/5.91  
% 5.71/5.91  Model 25 [ 15 2 7775 ] (0.00 seconds, 250000 Inserts)
% 5.71/5.91  
% 5.71/5.91  Stopped by limit on insertions
% 5.71/5.91  
% 5.71/5.91  Model 26 [ 15 2 5754 ] (0.00 seconds, 250000 Inserts)
% 5.71/5.91  
% 5.71/5.91  Stopped by limit on insertions
% 5.71/5.91  
% 5.71/5.91  Model 27 [ 23 2 5951 ] (0.00 seconds, 250000 Inserts)
% 5.71/5.91  
% 5.71/5.91  Stopped by limit on insertions
% 5.71/5.91  
% 5.71/5.91  Model 28 [ 22 2 8262 ] (0.00 seconds, 250000 Inserts)
% 5.71/5.91  
% 5.71/5.91  Stopped by limit on insertions
% 5.71/5.91  
% 5.71/5.91  Model 29 [ 24 3 8712 ] (0.00 seconds, 250000 Inserts)
% 5.71/5.91  
% 5.71/5.91  ----> UNIT CONFLICT at   5.59 sec ----> 435 [binary,434.1,307.1] {+} $F.
% 5.71/5.91  
% 5.71/5.91  Length of proof is 1.  Level of proof is 1.
% 5.71/5.91  
% 5.71/5.91  ---------------- PROOF ----------------
% 5.71/5.91  % SZS status Unsatisfiable
% 5.71/5.91  % SZS output start Refutation
% 5.71/5.91  
% 5.71/5.91  83 [] {+} q1(A,B,A)| -n0(C,B)| -p0(D,A).
% 5.71/5.91  307 [] {+} -q1(A,a,c).
% 5.71/5.91  321 [] {+} p0(b,A).
% 5.71/5.91  342 [] {+} n0(b,a).
% 5.71/5.91  434 [hyper,342,83,321] {-} q1(A,a,A).
% 5.71/5.91  435 [binary,434.1,307.1] {+} $F.
% 5.71/5.91  
% 5.71/5.91  % SZS output end Refutation
% 5.71/5.91  ------------ end of proof -------------
% 5.71/5.91  
% 5.71/5.91  
% 5.71/5.91  Search stopped by max_proofs option.
% 5.71/5.91  
% 5.71/5.91  
% 5.71/5.91  Search stopped by max_proofs option.
% 5.71/5.91  
% 5.71/5.91  ============ end of search ============
% 5.71/5.91  
% 5.71/5.91  ----------- soft-scott stats ----------
% 5.71/5.91  
% 5.71/5.91  true clauses given           5      (14.7%)
% 5.71/5.91  false clauses given         29
% 5.71/5.91  
% 5.71/5.91        FALSE     TRUE
% 5.71/5.91     3  5         1
% 5.71/5.91     4  24        25
% 5.71/5.91  tot:  29        26      (47.3% true)
% 5.71/5.91  
% 5.71/5.91  
% 5.71/5.91  Model 29 [ 24 3 8712 ] (0.00 seconds, 250000 Inserts)
% 5.71/5.91  
% 5.71/5.91  That finishes the proof of the theorem.
% 5.71/5.91  
% 5.71/5.91  Process 32530 finished Tue Jul 12 09:09:53 2022
%------------------------------------------------------------------------------