TSTP Solution File: SYN177-1 by SOS---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SOS---2.0
% Problem  : SYN177-1 : TPTP v8.1.0. Released v1.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : sos-script %s

% Computer : n024.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 12:10:42 EDT 2022

% Result   : Unsatisfiable 14.43s 14.69s
% Output   : Refutation 14.43s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11  % Problem  : SYN177-1 : TPTP v8.1.0. Released v1.1.0.
% 0.10/0.12  % Command  : sos-script %s
% 0.12/0.33  % Computer : n024.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 02:18:28 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 n024.cluster.edu,
% 0.12/0.37  Tue Jul 12 02:18:28 2022
% 0.12/0.37  The command was "./sos".  The process ID is 25649.
% 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  307 back subsumes 252.
% 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 =======
% 0.18/0.46  
% 0.18/0.46  Model 1 (0.00 seconds, 0 Inserts)
% 0.18/0.46  
% 0.18/0.46  Stopped by limit on number of solutions
% 0.18/0.46  
% 0.18/0.46  
% 0.18/0.46  -------------- Softie stats --------------
% 0.18/0.46  
% 0.18/0.46  UPDATE_STOP: 300
% 0.18/0.46  SFINDER_TIME_LIMIT: 2
% 0.18/0.46  SHORT_CLAUSE_CUTOFF: 4
% 0.18/0.46  number of clauses in intial UL: 293
% 0.18/0.46  number of clauses initially in problem: 325
% 0.18/0.46  percentage of clauses intially in UL: 90
% 0.18/0.46  percentage of distinct symbols occuring in initial UL: 100
% 0.18/0.46  percent of all initial clauses that are short: 100
% 0.18/0.46  absolute distinct symbol count: 53
% 0.18/0.46     distinct predicate count: 48
% 0.18/0.46     distinct function count: 0
% 0.18/0.46     distinct constant count: 5
% 0.18/0.46  
% 0.18/0.46  ---------- no more Softie stats ----------
% 0.18/0.46  
% 0.18/0.46  
% 0.18/0.46  
% 0.18/0.46  =========== start of search ===========
% 11.61/11.85  
% 11.61/11.85  Stopped by limit on insertions
% 11.61/11.85  
% 11.61/11.85  Model 2 (0.00 seconds, 0 Inserts)
% 11.61/11.85  
% 11.61/11.85  Stopped by limit on number of solutions
% 11.61/11.85  
% 11.61/11.85  Stopped by limit on insertions
% 11.61/11.85  
% 11.61/11.85  Model 3 [ 1 9 133687 ] (0.00 seconds, 250000 Inserts)
% 11.61/11.85  
% 11.61/11.85  Stopped by limit on insertions
% 11.61/11.85  
% 11.61/11.85  Stopped by limit on insertions
% 11.61/11.85  
% 11.61/11.85  Model 4 [ 3 2 4201 ] (0.00 seconds, 250000 Inserts)
% 11.61/11.85  
% 11.61/11.85  Stopped by limit on insertions
% 11.61/11.85  
% 11.61/11.85  Stopped by limit on insertions
% 11.61/11.85  
% 11.61/11.85  Stopped by limit on insertions
% 11.61/11.85  
% 11.61/11.85  Model 5 [ 5 1 1081 ] (0.00 seconds, 250000 Inserts)
% 11.61/11.85  
% 11.61/11.85  Stopped by limit on insertions
% 11.61/11.85  
% 11.61/11.85  Model 6 [ 5 2 8451 ] (0.00 seconds, 250000 Inserts)
% 11.61/11.85  
% 11.61/11.85  Model 7 (0.00 seconds, 250000 Inserts)
% 11.61/11.85  
% 11.61/11.85  Stopped by limit on number of solutions
% 11.61/11.85  
% 11.61/11.85  Stopped by limit on insertions
% 11.61/11.85  
% 11.61/11.85  Model 8 [ 7 2 4308 ] (0.00 seconds, 250000 Inserts)
% 11.61/11.85  
% 11.61/11.85  Stopped by limit on insertions
% 11.61/11.85  
% 11.61/11.85  Model 9 [ 11 2 3278 ] (0.00 seconds, 250000 Inserts)
% 11.61/11.85  
% 11.61/11.85  Stopped by limit on insertions
% 11.61/11.85  
% 11.61/11.85  Model 10 [ 6 2 6951 ] (0.00 seconds, 250000 Inserts)
% 11.61/11.85  
% 11.61/11.85  Stopped by limit on insertions
% 11.61/11.85  
% 11.61/11.85  Model 11 [ 11 2 4361 ] (0.00 seconds, 250000 Inserts)
% 11.61/11.85  
% 11.61/11.85  Stopped by limit on insertions
% 11.61/11.85  
% 11.61/11.85  Model 12 [ 11 1 5112 ] (0.00 seconds, 250000 Inserts)
% 11.61/11.85  
% 11.61/11.85  Stopped by limit on insertions
% 11.61/11.85  
% 11.61/11.85  Model 13 [ 12 2 4096 ] (0.00 seconds, 250000 Inserts)
% 11.61/11.85  
% 11.61/11.85  Stopped by limit on insertions
% 11.61/11.85  
% 11.61/11.85  Stopped by limit on insertions
% 11.61/11.85  
% 11.61/11.85  Stopped by limit on insertions
% 11.61/11.85  
% 11.61/11.85  Model 14 [ 11 2 7325 ] (0.00 seconds, 250000 Inserts)
% 11.61/11.85  
% 11.61/11.85  Stopped by limit on insertions
% 11.61/11.85  
% 11.61/11.85  Stopped by limit on insertions
% 11.61/11.85  
% 11.61/11.85  Model 15 [ 15 3 12037 ] (0.00 seconds, 250000 Inserts)
% 11.61/11.85  
% 11.61/11.85  Stopped by limit on insertions
% 11.61/11.85  
% 11.61/11.85  Model 16 [ 18 3 11230 ] (0.00 seconds, 250000 Inserts)
% 11.61/11.85  
% 11.61/11.85  Stopped by limit on insertions
% 11.61/11.85  
% 11.61/11.85  Model 17 [ 20 1 5199 ] (0.00 seconds, 250000 Inserts)
% 11.61/11.85  
% 11.61/11.85  Stopped by limit on insertions
% 11.61/11.85  
% 11.61/11.85  Model 18 [ 22 2 3586 ] (0.00 seconds, 250000 Inserts)
% 11.61/11.85  
% 11.61/11.85  Stopped by limit on insertions
% 11.61/11.85  
% 11.61/11.85  Model 19 [ 30 1 4323 ] (0.00 seconds, 250000 Inserts)
% 11.61/11.85  
% 11.61/11.85  Stopped by limit on insertions
% 11.61/11.85  
% 11.61/11.85  Stopped by limit on insertions
% 11.61/11.85  
% 11.61/11.85  Model 20 [ 16 3 13202 ] (0.00 seconds, 250000 Inserts)
% 11.61/11.85  
% 11.61/11.85  Stopped by limit on insertions
% 11.61/11.85  
% 11.61/11.85  Model 21 [ 15 2 6280 ] (0.00 seconds, 250000 Inserts)
% 11.61/11.85  
% 11.61/11.85  Stopped by limit on insertions
% 11.61/11.85  
% 11.61/11.85  Stopped by limit on insertions
% 11.61/11.85  
% 11.61/11.85  Model 22 [ 22 3 10289 ] (0.00 seconds, 250000 Inserts)
% 11.61/11.85  
% 11.61/11.85  Stopped by limit on insertions
% 11.61/11.85  
% 11.61/11.85  Model 23 [ 21 2 10279 ] (0.00 seconds, 250000 Inserts)
% 11.61/11.85  
% 11.61/11.85  Stopped by limit on insertions
% 11.61/11.85  
% 11.61/11.85  Model 24 [ 29 2 2658 ] (0.00 seconds, 250000 Inserts)
% 11.61/11.85  
% 11.61/11.85  Stopped by limit on insertions
% 11.61/11.85  
% 11.61/11.85  Model 25 [ 24 2 6461 ] (0.00 seconds, 250000 Inserts)
% 11.61/11.85  
% 11.61/11.85  Stopped by limit on insertions
% 11.61/11.85  
% 11.61/11.85  Model 26 [ 23 2 7165 ] (0.00 seconds, 250000 Inserts)
% 11.61/11.85  
% 11.61/11.85  Stopped by limit on insertions
% 11.61/11.85  
% 11.61/11.85  Model 27 [ 35 1 5734 ] (0.00 seconds, 250000 Inserts)
% 11.61/11.85  
% 11.61/11.85  Stopped by limit on insertions
% 11.61/11.85  
% 11.61/11.85  Model 28 [ 18 2 8327 ] (0.00 seconds, 250000 Inserts)
% 11.61/11.85  
% 11.61/11.85  Stopped by limit on insertions
% 11.61/11.85  
% 11.61/11.85  Model 29 [ 40 2 4625 ] (0.00 seconds, 250000 Inserts)
% 11.61/11.85  
% 11.61/11.85  Stopped by limit on insertions
% 11.61/11.85  
% 11.61/11.85  Model 30 [ 17 3 11311 ] (0.00 seconds, 250000 Inserts)
% 11.61/11.85  
% 11.61/11.85  Stopped by limit on insertions
% 11.61/11.85  
% 11.61/11.85  Model 31 [ 23 3 12027 ] (0.00 seconds, 250000 Inserts)
% 11.61/11.85  
% 11.61/11.85  Stopped by limit on insertions
% 11.61/11.85  
% 11.61/11.85  Model 32 [ 40 2 4887 ] (0.00 seconds, 250000 Inserts)
% 11.61/11.85  
% 11.61/11.85  Stopped by limit on insertions
% 11.61/11.85  
% 11.61/11.85  Model 33 [ 18 2 7511 ] (0.00 seconds, 250000 Inserts)
% 11.61/11.85  
% 11.61/11.85  Stopped by limit on insertions
% 11.61/11.85  
% 11.61/11.85  Model 34 [ 39 2 4253 ] (0.00 seconds, 250000 Inserts)
% 11.61/11.85  
% 11.61/11.85  Stopped by limit on insertions
% 11.61/11.85  
% 11.61/11.85  Model 35 [ 28 3 11016 ] (0.00 seconds, 250000 Inserts)
% 11.61/11.85  
% 11.61/11.85  Stopped by limit on insertions
% 11.61/11.85  
% 11.61/11.85  Stopped by limit on insertions
% 11.61/11.85  
% 11.61/11.85  Stopped by limit on insertions
% 11.61/11.85  
% 11.61/11.85  Model 36 [ 25 2 3124 ] (0.00 seconds, 250000 Inserts)
% 11.61/11.85  
% 11.61/11.85  Stopped by limit on insertions
% 11.61/11.85  
% 11.61/11.85  Stopped by limit on insertions
% 11.61/11.85  
% 11.61/11.85  Model 37 [ 27 2 12961 ] (0.00 seconds, 250000 Inserts)
% 11.61/11.85  
% 11.61/11.85  Stopped by limit on insertions
% 11.61/11.85  
% 11.61/11.85  Model 38 [ 32 2 7442 ] (0.00 seconds, 250000 Inserts)
% 11.61/11.85  
% 11.61/11.85  Stopped by limit on insertions
% 11.61/11.85  
% 11.61/11.85  Model 39 [ 23 2 8731 ] (0.00 seconds, 250000 Inserts)
% 11.61/11.85  
% 11.61/11.85  Stopped by limit on insertions
% 11.61/11.85  
% 11.61/11.85  Model 40 [ 22 2 8233 ] (0.00 seconds, 250000 Inserts)
% 11.61/11.85  
% 11.61/11.85  Stopped by limit on insertions
% 11.61/11.85  
% 11.61/11.85  Model 41 [ 25 2 7332 ] (0.00 seconds, 250000 Inserts)
% 11.61/11.85  
% 11.61/11.85  Stopped by limit on insertions
% 11.61/11.85  
% 11.61/11.85  Model 42 [ 50 2 9749 ] (0.00 seconds, 250000 Inserts)
% 11.61/11.85  
% 11.61/11.85  Stopped by limit on insertions
% 11.61/11.85  
% 11.61/11.85  Model 43 [ 29 3 7844 ] (0.00 seconds, 250000 Inserts)
% 11.61/11.85  
% 11.61/11.85  Stopped by limit on insertions
% 11.61/11.85  
% 11.61/11.85  Stopped by limit on insertions
% 11.61/11.85  
% 14.43/14.69  Model 44 [ 
% 14.43/14.69  -- HEY sandbox, WE HAVE A PROOF!! -- 
% 14.43/14.69  36 3 11817 ] (0.00 seconds, 250000 Inserts)
% 14.43/14.69  
% 14.43/14.69  Stopped by limit on insertions
% 14.43/14.69  
% 14.43/14.69  Model 45 [ 29 3 8772 ] (0.00 seconds, 250000 Inserts)
% 14.43/14.69  
% 14.43/14.69  Stopped by limit on insertions
% 14.43/14.69  
% 14.43/14.69  Model 46 [ 29 4 15264 ] (0.00 seconds, 250000 Inserts)
% 14.43/14.69  
% 14.43/14.69  Stopped by limit on insertions
% 14.43/14.69  
% 14.43/14.69  Model 47 [ 34 2 10819 ] (0.00 seconds, 250000 Inserts)
% 14.43/14.69  
% 14.43/14.69  Stopped by limit on insertions
% 14.43/14.69  
% 14.43/14.69  Model 48 [ 25 2 8181 ] (0.00 seconds, 250000 Inserts)
% 14.43/14.69  
% 14.43/14.69  Stopped by limit on insertions
% 14.43/14.69  
% 14.43/14.69  Model 49 [ 40 3 13654 ] (0.00 seconds, 250000 Inserts)
% 14.43/14.69  
% 14.43/14.69  Stopped by limit on insertions
% 14.43/14.69  
% 14.43/14.69  Model 50 [ 27 3 10805 ] (0.00 seconds, 250000 Inserts)
% 14.43/14.69  
% 14.43/14.69  Stopped by limit on insertions
% 14.43/14.69  
% 14.43/14.69  Stopped by limit on insertions
% 14.43/14.69  
% 14.43/14.69  Model 51 [ 50 3 12514 ] (0.00 seconds, 250000 Inserts)
% 14.43/14.69  
% 14.43/14.69  Stopped by limit on insertions
% 14.43/14.69  
% 14.43/14.69  Model 52 [ 28 2 8932 ] (0.00 seconds, 250000 Inserts)
% 14.43/14.69  
% 14.43/14.69  Stopped by limit on insertions
% 14.43/14.69  
% 14.43/14.69  Model 53 [ 36 2 7603 ] (0.00 seconds, 250000 Inserts)
% 14.43/14.69  
% 14.43/14.69  Stopped by limit on insertions
% 14.43/14.69  
% 14.43/14.69  Model 54 [ 40 1 4065 ] (0.00 seconds, 250000 Inserts)
% 14.43/14.69  
% 14.43/14.69  Stopped by limit on insertions
% 14.43/14.69  
% 14.43/14.69  Stopped by limit on insertions
% 14.43/14.69  
% 14.43/14.69  Model 55 [ 34 2 5769 ] (0.00 seconds, 250000 Inserts)
% 14.43/14.69  
% 14.43/14.69  ----> UNIT CONFLICT at  14.30 sec ----> 533 [binary,532.1,307.1] {+} $F.
% 14.43/14.69  
% 14.43/14.69  Length of proof is 3.  Level of proof is 3.
% 14.43/14.69  
% 14.43/14.69  ---------------- PROOF ----------------
% 14.43/14.69  % SZS status Unsatisfiable
% 14.43/14.69  % SZS output start Refutation
% 14.43/14.69  
% 14.43/14.69  3 [] {+} l1(A,B)| -p0(C,A)| -r0(D)| -m0(B,A,C).
% 14.43/14.69  168 [] {+} q2(A,A,B)| -l1(B,A).
% 14.43/14.69  233 [] {+} q3(A,B)| -q2(C,A,B)| -n0(C,A).
% 14.43/14.69  307 [] {+} -q3(A,b).
% 14.43/14.69  320 [] {-} r0(e).
% 14.43/14.69  325 [] {-} p0(c,b).
% 14.43/14.69  332 [] {+} m0(e,b,c).
% 14.43/14.69  335 [] {+} n0(e,e).
% 14.43/14.69  435 [hyper,332,3,325,320] {+} l1(b,e).
% 14.43/14.69  477 [hyper,435,168] {+} q2(e,e,b).
% 14.43/14.69  532 [hyper,477,233,335] {-} q3(e,b).
% 14.43/14.69  533 [binary,532.1,307.1] {+} $F.
% 14.43/14.69  
% 14.43/14.69  % SZS output end Refutation
% 14.43/14.69  ------------ end of proof -------------
% 14.43/14.69  
% 14.43/14.69  
% 14.43/14.69  Search stopped by max_proofs option.
% 14.43/14.69  
% 14.43/14.69  
% 14.43/14.69  Search stopped by max_proofs option.
% 14.43/14.69  
% 14.43/14.69  ============ end of search ============
% 14.43/14.69  
% 14.43/14.70  ----------- soft-scott stats ----------
% 14.43/14.70  
% 14.43/14.70  true clauses given          15      (17.9%)
% 14.43/14.70  false clauses given         69
% 14.43/14.70  
% 14.43/14.70        FALSE     TRUE
% 14.43/14.70     2  0         1
% 14.43/14.70     3  0         6
% 14.43/14.70     4  12        61
% 14.43/14.70  tot:  12        68      (85.0% true)
% 14.43/14.70  
% 14.43/14.70  
% 14.43/14.70  Model 55 [ 34 2 5769 ] (0.00 seconds, 250000 Inserts)
% 14.43/14.70  
% 14.43/14.70  That finishes the proof of the theorem.
% 14.43/14.70  
% 14.43/14.70  Process 25649 finished Tue Jul 12 02:18:42 2022
%------------------------------------------------------------------------------