TSTP Solution File: SYN248-1 by SOS---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SOS---2.0
% Problem  : SYN248-1 : TPTP v8.1.0. Released v1.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : sos-script %s

% Computer : n003.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 12:11:11 EDT 2022

% Result   : Unsatisfiable 8.16s 8.36s
% Output   : Refutation 8.16s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : SYN248-1 : TPTP v8.1.0. Released v1.1.0.
% 0.06/0.12  % Command  : sos-script %s
% 0.12/0.33  % Computer : n003.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 : Tue Jul 12 02:15:00 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.12/0.37  ----- Otter 3.2, August 2001 -----
% 0.12/0.37  The process was started by sandbox on n003.cluster.edu,
% 0.12/0.37  Tue Jul 12 02:15:00 2022
% 0.12/0.37  The command was "./sos".  The process ID is 6312.
% 0.12/0.37  
% 0.12/0.37  set(prolog_style_variables).
% 0.12/0.37  set(auto).
% 0.12/0.37     dependent: set(auto1).
% 0.12/0.37     dependent: set(process_input).
% 0.12/0.37     dependent: clear(print_kept).
% 0.12/0.37     dependent: clear(print_new_demod).
% 0.12/0.37     dependent: clear(print_back_demod).
% 0.12/0.37     dependent: clear(print_back_sub).
% 0.12/0.37     dependent: set(control_memory).
% 0.12/0.37     dependent: assign(max_mem, 12000).
% 0.12/0.37     dependent: assign(pick_given_ratio, 4).
% 0.12/0.37     dependent: assign(stats_level, 1).
% 0.12/0.37     dependent: assign(pick_semantic_ratio, 3).
% 0.12/0.37     dependent: assign(sos_limit, 5000).
% 0.12/0.37     dependent: assign(max_weight, 60).
% 0.12/0.37  clear(print_given).
% 0.12/0.37  
% 0.12/0.37  list(usable).
% 0.12/0.37  
% 0.12/0.37  SCAN INPUT: prop=0, horn=1, equality=0, symmetry=0, max_lits=5.
% 0.12/0.37  
% 0.12/0.37  This is a Horn set without equality.  The strategy will
% 0.12/0.37  be hyperresolution, with satellites in sos and nuclei
% 0.12/0.37  in usable.
% 0.12/0.37  
% 0.12/0.37     dependent: set(hyper_res).
% 0.12/0.37     dependent: clear(order_hyper).
% 0.12/0.37  
% 0.12/0.37  ------------> process usable:
% 0.12/0.37    Following clause subsumed by 13 during input processing: 0 [] {-} m1(A,A,A)| -q0(B,C)| -q0(B,A).
% 0.12/0.37    Following clause subsumed by 14 during input processing: 0 [] {-} m1(A,A,A)| -m0(B,C,A).
% 0.12/0.37    Following clause subsumed by 14 during input processing: 0 [] {-} m1(A,A,A)| -l0(A)| -k0(A)| -m0(A,A,A).
% 0.12/0.37    Following clause subsumed by 12 during input processing: 0 [] {-} m1(e,e,e)| -r0(e).
% 0.12/0.37    Following clause subsumed by 63 during input processing: 0 [] {-} p1(A,A,A)| -n0(e,b)| -k0(b)| -k0(A)| -k1(B).
% 0.12/0.37    Following clause subsumed by 64 during input processing: 0 [] {-} p1(A,A,B)| -p0(B,A)| -r0(A).
% 0.12/0.37    Following clause subsumed by 63 during input processing: 0 [] {-} p1(e,e,e)| -r0(e)| -k0(e).
% 0.12/0.37    Following clause subsumed by 88 during input processing: 0 [] {-} q1(A,A,A)| -s0(A)| -m0(B,B,C).
% 0.12/0.37    Following clause subsumed by 88 during input processing: 0 [] {-} q1(A,A,A)| -s0(A).
% 0.12/0.37    Following clause subsumed by 88 during input processing: 0 [] {-} q1(d,d,d)| -k0(e)| -s0(d).
% 0.12/0.37    Following clause subsumed by 105 during input processing: 0 [] {-} q1(b,b,b)| -r0(b).
% 0.12/0.37    Following clause subsumed by 99 during input processing: 0 [] {-} q1(A,A,A)| -m0(B,C,A).
% 0.12/0.37    Following clause subsumed by 99 during input processing: 0 [] {-} q1(A,A,A)| -m0(A,B,A).
% 0.12/0.37    Following clause subsumed by 105 during input processing: 0 [] {-} q1(A,A,A)| -m0(c,A,A)| -r0(A).
% 0.12/0.37    Following clause subsumed by 142 during input processing: 0 [] {-} p2(A,A,A)| -s1(A)| -k1(A).
% 0.12/0.37    Following clause subsumed by 224 during input processing: 0 [] {-} p3(A,A,A)| -n2(A)| -q2(B,C,A)| -s1(B).
% 0.12/0.37    Following clause subsumed by 224 during input processing: 0 [] {-} p3(A,A,A)| -k1(A)| -n2(A).
% 0.12/0.37  13 back subsumes 9.
% 0.12/0.37  14 back subsumes 6.
% 0.12/0.37  28 back subsumes 21.
% 0.12/0.37  28 back subsumes 17.
% 0.12/0.37  40 back subsumes 39.
% 0.12/0.37  52 back subsumes 51.
% 0.12/0.37  77 back subsumes 68.
% 0.12/0.37  77 back subsumes 65.
% 0.12/0.37  142 back subsumes 134.
% 0.12/0.37  194 back subsumes 180.
% 0.12/0.37  216 back subsumes 213.
% 0.12/0.37  216 back subsumes 212.
% 0.12/0.37  244 back subsumes 239.
% 0.12/0.37  
% 0.12/0.37  ------------> process sos:
% 0.12/0.37    Following clause subsumed by 321 during input processing: 0 [] {-} p0(b,c).
% 0.12/0.37    Following clause subsumed by 324 during input processing: 0 [] {-} q0(d,d).
% 0.12/0.37  321 back subsumes 317.
% 0.12/0.37  324 back subsumes 309.
% 0.12/0.37  326 back subsumes 315.
% 0.12/0.37  326 back subsumes 311.
% 0.12/0.37  
% 0.12/0.37  ======= end of input processing =======
% 0.18/0.49  
% 0.18/0.49  Model 1 (0.00 seconds, 0 Inserts)
% 0.18/0.49  
% 0.18/0.49  Stopped by limit on number of solutions
% 0.18/0.49  
% 0.18/0.49  
% 0.18/0.49  -------------- Softie stats --------------
% 0.18/0.49  
% 0.18/0.49  UPDATE_STOP: 300
% 0.18/0.49  SFINDER_TIME_LIMIT: 2
% 0.18/0.49  SHORT_CLAUSE_CUTOFF: 4
% 0.18/0.49  number of clauses in intial UL: 294
% 0.18/0.49  number of clauses initially in problem: 326
% 0.18/0.49  percentage of clauses intially in UL: 90
% 0.18/0.49  percentage of distinct symbols occuring in initial UL: 100
% 0.18/0.49  percent of all initial clauses that are short: 100
% 0.18/0.49  absolute distinct symbol count: 53
% 0.18/0.49     distinct predicate count: 48
% 0.18/0.49     distinct function count: 0
% 0.18/0.49     distinct constant count: 5
% 0.18/0.49  
% 0.18/0.49  ---------- no more Softie stats ----------
% 0.18/0.49  
% 0.18/0.49  
% 0.18/0.49  
% 0.18/0.49  Model 2 (0.00 seconds, 0 Inserts)
% 0.18/0.49  
% 0.18/0.49  Stopped by limit on number of solutions
% 0.18/0.49  
% 0.18/0.49  =========== start of search ===========
% 8.16/8.36  
% 8.16/8.36  -------- PROOF -------- 
% 8.16/8.36  % SZS status Unsatisfiable
% 8.16/8.36  % SZS output start Refutation
% 8.16/8.36  
% 8.16/8.36  Model 3 (0.00 seconds, 0 Inserts)
% 8.16/8.36  
% 8.16/8.36  Stopped by limit on number of solutions
% 8.16/8.36  
% 8.16/8.36  Model 4 (0.00 seconds, 0 Inserts)
% 8.16/8.36  
% 8.16/8.36  Stopped by limit on number of solutions
% 8.16/8.36  
% 8.16/8.36  Model 5 (0.00 seconds, 0 Inserts)
% 8.16/8.36  
% 8.16/8.36  Stopped by limit on number of solutions
% 8.16/8.36  
% 8.16/8.36  Stopped by limit on insertions
% 8.16/8.36  
% 8.16/8.36  Model 6 [ 2 2 4007 ] (0.00 seconds, 250000 Inserts)
% 8.16/8.36  
% 8.16/8.36  Stopped by limit on insertions
% 8.16/8.36  
% 8.16/8.36  Model 7 [ 2 2 5424 ] (0.00 seconds, 250000 Inserts)
% 8.16/8.36  
% 8.16/8.36  Stopped by limit on insertions
% 8.16/8.36  
% 8.16/8.36  Model 8 [ 3 2 5848 ] (0.00 seconds, 250000 Inserts)
% 8.16/8.36  
% 8.16/8.36  Stopped by limit on insertions
% 8.16/8.36  
% 8.16/8.36  Model 9 [ 3 2 9361 ] (0.00 seconds, 250000 Inserts)
% 8.16/8.36  
% 8.16/8.36  Stopped by limit on insertions
% 8.16/8.36  
% 8.16/8.36  Model 10 [ 2 2 9358 ] (0.00 seconds, 250000 Inserts)
% 8.16/8.36  
% 8.16/8.36  Stopped by limit on insertions
% 8.16/8.36  
% 8.16/8.36  Model 11 [ 5 3 10098 ] (0.00 seconds, 250000 Inserts)
% 8.16/8.36  
% 8.16/8.36  Stopped by limit on insertions
% 8.16/8.36  
% 8.16/8.36  Stopped by limit on insertions
% 8.16/8.36  
% 8.16/8.36  Model 12 [ 10 2 3600 ] (0.00 seconds, 250000 Inserts)
% 8.16/8.36  
% 8.16/8.36  Stopped by limit on insertions
% 8.16/8.36  
% 8.16/8.36  Model 13 [ 12 2 6631 ] (0.00 seconds, 250000 Inserts)
% 8.16/8.36  
% 8.16/8.36  Stopped by limit on insertions
% 8.16/8.36  
% 8.16/8.36  Model 14 [ 8 2 7373 ] (0.00 seconds, 250000 Inserts)
% 8.16/8.36  
% 8.16/8.36  Stopped by limit on insertions
% 8.16/8.36  
% 8.16/8.36  Model 15 [ 11 2 8338 ] (0.00 seconds, 250000 Inserts)
% 8.16/8.36  
% 8.16/8.36  Stopped by limit on insertions
% 8.16/8.36  
% 8.16/8.36  Model 16 [ 11 2 3934 ] (0.00 seconds, 250000 Inserts)
% 8.16/8.36  
% 8.16/8.36  Stopped by limit on insertions
% 8.16/8.36  
% 8.16/8.36  Model 17 [ 9 2 7550 ] (0.00 seconds, 250000 Inserts)
% 8.16/8.36  
% 8.16/8.36  Stopped by limit on insertions
% 8.16/8.36  
% 8.16/8.36  Model 18 [ 14 2 4052 ] (0.00 seconds, 250000 Inserts)
% 8.16/8.36  
% 8.16/8.36  Stopped by limit on insertions
% 8.16/8.36  
% 8.16/8.36  Model 19 [ 13 1 2112 ] (0.00 seconds, 250000 Inserts)
% 8.16/8.36  
% 8.16/8.36  Stopped by limit on insertions
% 8.16/8.36  
% 8.16/8.36  Model 20 [ 13 2 4839 ] (0.00 seconds, 250000 Inserts)
% 8.16/8.36  
% 8.16/8.36  Stopped by limit on insertions
% 8.16/8.36  
% 8.16/8.36  Model 21 [ 13 2 8555 ] (0.00 seconds, 250000 Inserts)
% 8.16/8.36  
% 8.16/8.36  Stopped by limit on insertions
% 8.16/8.36  
% 8.16/8.36  Model 22 [ 18 1 4094 ] (0.00 seconds, 250000 Inserts)
% 8.16/8.36  
% 8.16/8.36  Stopped by limit on insertions
% 8.16/8.36  
% 8.16/8.36  Model 23 [ 15 3 10792 ] (0.00 seconds, 250000 Inserts)
% 8.16/8.36  
% 8.16/8.36  Stopped by limit on insertions
% 8.16/8.36  
% 8.16/8.36  Model 24 [ 16 2 7233 ] (0.00 seconds, 250000 Inserts)
% 8.16/8.36  
% 8.16/8.36  Stopped by limit on insertions
% 8.16/8.36  
% 8.16/8.36  Model 25 [ 19 2 5422 ] (0.00 seconds, 250000 Inserts)
% 8.16/8.36  
% 8.16/8.36  Stopped by limit on insertions
% 8.16/8.36  
% 8.16/8.36  Model 26 [ 16 2 5177 ] (0.00 seconds, 250000 Inserts)
% 8.16/8.36  
% 8.16/8.36  Stopped by limit on insertions
% 8.16/8.36  
% 8.16/8.36  Model 27 [ 30 2 8808 ] (0.00 seconds, 250000 Inserts)
% 8.16/8.36  
% 8.16/8.36  Stopped by limit on insertions
% 8.16/8.36  
% 8.16/8.36  Model 28 [ 17 1 2014 ] (0.00 seconds, 250000 Inserts)
% 8.16/8.36  
% 8.16/8.36  Stopped by limit on insertions
% 8.16/8.36  
% 8.16/8.36  Model 29 [ 21 2 2960 ] (0.00 seconds, 250000 Inserts)
% 8.16/8.36  
% 8.16/8.36  Stopped by limit on insertions
% 8.16/8.36  
% 8.16/8.36  Model 30 [ 22 2 4763 ] (0.00 seconds, 250000 Inserts)
% 8.16/8.36  
% 8.16/8.36  Stopped by limit on insertions
% 8.16/8.36  
% 8.16/8.36  Stopped by limit on insertions
% 8.16/8.36  
% 8.16/8.36  Model 31 [ 28 3 7361 ] (0.00 seconds, 250000 Inserts)
% 8.16/8.36  
% 8.16/8.36  Stopped by limit on insertions
% 8.16/8.36  
% 8.16/8.36  Model 32 [ 22 2 5156 ] (0.00 seconds, 250000 Inserts)
% 8.16/8.36  
% 8.16/8.36  Stopped by limit on insertions
% 8.16/8.36  
% 8.16/8.36  Model 33 [ 18 1 4207 ] (0.00 seconds, 250000 Inserts)
% 8.16/8.36  
% 8.16/8.36  Stopped by limit on insertions
% 8.16/8.36  
% 8.16/8.36  Model 34 [ 20 3 9503 ] (0.00 seconds, 250000 Inserts)
% 8.16/8.36  
% 8.16/8.36  Stopped by limit on insertions
% 8.16/8.36  
% 8.16/8.36  Stopped by limit on insertions
% 8.16/8.36  
% 8.16/8.36  Model 35 [ 17 4 20399 ] (0.00 seconds, 250000 Inserts)
% 8.16/8.36  
% 8.16/8.36  Stopped by limit on insertions
% 8.16/8.36  
% 8.16/8.36  Model 36 [ 38 3 12146 ] (0.00 seconds, 250000 Inserts)
% 8.16/8.36  
% 8.16/8.36  ----> UNIT CONFLICT at   7.97 sec ----> 450 [binary,449.1,307.1] {-} $F.
% 8.16/8.36  
% 8.16/8.36  Length of proof is 3.  Level of proof is 2.
% 8.16/8.36  
% 8.16/8.36  ---------------- PROOF ----------------
% 8.16/8.36  % SZS status Unsatisfiable
% 8.16/8.36  % SZS output start Refutation
% 8.16/8.36  
% 8.16/8.36  1 [] {+} k1(A)| -n0(B,A).
% 8.16/8.36  30 [] {+} m1(A,B,B)| -k1(a)| -k1(B)| -q0(A,A).
% 8.16/8.36  307 [] {+} -m1(d,c,c).
% 8.16/8.36  324 [] {-} q0(A,d).
% 8.16/8.36  331 [] {+} n0(d,c).
% 8.16/8.36  342 [] {+} n0(b,a).
% 8.16/8.36  409 [hyper,331,1] {+} k1(c).
% 8.16/8.36  443 [hyper,342,1] {+} k1(a).
% 8.16/8.36  449 [hyper,443,30,409,324] {-} m1(d,c,c).
% 8.16/8.36  450 [binary,449.1,307.1] {-} $F.
% 8.16/8.36  
% 8.16/8.36  % SZS output end Refutation
% 8.16/8.36  ------------ end of proof -------------
% 8.16/8.36  
% 8.16/8.36  
% 8.16/8.36  Search stopped by max_proofs option.
% 8.16/8.36  
% 8.16/8.36  
% 8.16/8.36  Search stopped by max_proofs option.
% 8.16/8.36  
% 8.16/8.36  ============ end of search ============
% 8.16/8.36  
% 8.16/8.36  ----------- soft-scott stats ----------
% 8.16/8.36  
% 8.16/8.36  true clauses given           5      (11.6%)
% 8.16/8.36  false clauses given         38
% 8.16/8.36  
% 8.16/8.36        FALSE     TRUE
% 8.16/8.36     3  2         5
% 8.16/8.36     4  10        38
% 8.16/8.36  tot:  12        43      (78.2% true)
% 8.16/8.36  
% 8.16/8.36  
% 8.16/8.36  Model 36 [ 38 3 12146 ] (0.00 seconds, 250000 Inserts)
% 8.16/8.36  
% 8.16/8.36  That finishes the proof of the theorem.
% 8.16/8.36  
% 8.16/8.36  Process 6312 finished Tue Jul 12 02:15:08 2022
%------------------------------------------------------------------------------