TSTP Solution File: SYN121-1 by SOS---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SOS---2.0
% Problem  : SYN121-1 : TPTP v8.1.0. Released v1.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : sos-script %s

% Computer : n026.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 12:10:18 EDT 2022

% Result   : Unsatisfiable 9.15s 9.34s
% Output   : Refutation 9.15s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11  % Problem  : SYN121-1 : TPTP v8.1.0. Released v1.1.0.
% 0.07/0.12  % Command  : sos-script %s
% 0.13/0.33  % Computer : n026.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 600
% 0.13/0.33  % DateTime : Tue Jul 12 06:11:27 EDT 2022
% 0.13/0.33  % CPUTime  : 
% 0.13/0.37  ----- Otter 3.2, August 2001 -----
% 0.13/0.37  The process was started by sandbox on n026.cluster.edu,
% 0.13/0.37  Tue Jul 12 06:11:27 2022
% 0.13/0.37  The command was "./sos".  The process ID is 7508.
% 0.13/0.37  
% 0.13/0.37  set(prolog_style_variables).
% 0.13/0.37  set(auto).
% 0.13/0.37     dependent: set(auto1).
% 0.13/0.37     dependent: set(process_input).
% 0.13/0.37     dependent: clear(print_kept).
% 0.13/0.37     dependent: clear(print_new_demod).
% 0.13/0.37     dependent: clear(print_back_demod).
% 0.13/0.37     dependent: clear(print_back_sub).
% 0.13/0.37     dependent: set(control_memory).
% 0.13/0.37     dependent: assign(max_mem, 12000).
% 0.13/0.37     dependent: assign(pick_given_ratio, 4).
% 0.13/0.37     dependent: assign(stats_level, 1).
% 0.13/0.37     dependent: assign(pick_semantic_ratio, 3).
% 0.13/0.37     dependent: assign(sos_limit, 5000).
% 0.13/0.37     dependent: assign(max_weight, 60).
% 0.13/0.37  clear(print_given).
% 0.13/0.37  
% 0.13/0.37  list(usable).
% 0.13/0.37  
% 0.13/0.37  SCAN INPUT: prop=0, horn=1, equality=0, symmetry=0, max_lits=5.
% 0.13/0.37  
% 0.13/0.37  This is a Horn set without equality.  The strategy will
% 0.13/0.37  be hyperresolution, with satellites in sos and nuclei
% 0.13/0.37  in usable.
% 0.13/0.37  
% 0.13/0.37     dependent: set(hyper_res).
% 0.13/0.37     dependent: clear(order_hyper).
% 0.13/0.37  
% 0.13/0.37  ------------> process usable:
% 0.13/0.37    Following clause subsumed by 13 during input processing: 0 [] {-} m1(A,A,A)| -q0(B,C)| -q0(B,A).
% 0.13/0.37    Following clause subsumed by 14 during input processing: 0 [] {-} m1(A,A,A)| -m0(B,C,A).
% 0.13/0.37    Following clause subsumed by 14 during input processing: 0 [] {-} m1(A,A,A)| -l0(A)| -k0(A)| -m0(A,A,A).
% 0.13/0.37    Following clause subsumed by 12 during input processing: 0 [] {-} m1(e,e,e)| -r0(e).
% 0.13/0.37    Following clause subsumed by 63 during input processing: 0 [] {-} p1(A,A,A)| -n0(e,b)| -k0(b)| -k0(A)| -k1(B).
% 0.13/0.37    Following clause subsumed by 64 during input processing: 0 [] {-} p1(A,A,B)| -p0(B,A)| -r0(A).
% 0.13/0.37    Following clause subsumed by 63 during input processing: 0 [] {-} p1(e,e,e)| -r0(e)| -k0(e).
% 0.13/0.37    Following clause subsumed by 88 during input processing: 0 [] {-} q1(A,A,A)| -s0(A)| -m0(B,B,C).
% 0.13/0.37    Following clause subsumed by 88 during input processing: 0 [] {-} q1(A,A,A)| -s0(A).
% 0.13/0.37    Following clause subsumed by 88 during input processing: 0 [] {-} q1(d,d,d)| -k0(e)| -s0(d).
% 0.13/0.37    Following clause subsumed by 105 during input processing: 0 [] {-} q1(b,b,b)| -r0(b).
% 0.13/0.37    Following clause subsumed by 99 during input processing: 0 [] {-} q1(A,A,A)| -m0(B,C,A).
% 0.13/0.37    Following clause subsumed by 99 during input processing: 0 [] {-} q1(A,A,A)| -m0(A,B,A).
% 0.13/0.37    Following clause subsumed by 105 during input processing: 0 [] {-} q1(A,A,A)| -m0(c,A,A)| -r0(A).
% 0.13/0.37    Following clause subsumed by 142 during input processing: 0 [] {-} p2(A,A,A)| -s1(A)| -k1(A).
% 0.13/0.37    Following clause subsumed by 224 during input processing: 0 [] {-} p3(A,A,A)| -n2(A)| -q2(B,C,A)| -s1(B).
% 0.13/0.37    Following clause subsumed by 224 during input processing: 0 [] {-} p3(A,A,A)| -k1(A)| -n2(A).
% 0.13/0.37  13 back subsumes 9.
% 0.13/0.37  14 back subsumes 6.
% 0.13/0.37  28 back subsumes 21.
% 0.13/0.37  28 back subsumes 17.
% 0.13/0.37  40 back subsumes 39.
% 0.13/0.37  52 back subsumes 51.
% 0.13/0.37  77 back subsumes 68.
% 0.13/0.37  77 back subsumes 65.
% 0.13/0.37  142 back subsumes 134.
% 0.13/0.37  194 back subsumes 180.
% 0.13/0.37  216 back subsumes 213.
% 0.13/0.37  216 back subsumes 212.
% 0.13/0.37  244 back subsumes 239.
% 0.13/0.37  307 back subsumes 219.
% 0.13/0.37  
% 0.13/0.37  ------------> process sos:
% 0.13/0.37    Following clause subsumed by 321 during input processing: 0 [] {-} p0(b,c).
% 0.13/0.37    Following clause subsumed by 324 during input processing: 0 [] {-} q0(d,d).
% 0.13/0.37  321 back subsumes 317.
% 0.13/0.37  324 back subsumes 309.
% 0.13/0.37  326 back subsumes 315.
% 0.13/0.37  326 back subsumes 311.
% 0.13/0.37  
% 0.13/0.37  ======= end of input processing =======
% 0.18/0.48  
% 0.18/0.48  Model 1 (0.00 seconds, 0 Inserts)
% 0.18/0.48  
% 0.18/0.48  Stopped by limit on number of solutions
% 0.18/0.48  
% 0.18/0.48  
% 0.18/0.48  -------------- Softie stats --------------
% 0.18/0.48  
% 0.18/0.48  UPDATE_STOP: 300
% 0.18/0.48  SFINDER_TIME_LIMIT: 2
% 0.18/0.48  SHORT_CLAUSE_CUTOFF: 4
% 0.18/0.48  number of clauses in intial UL: 293
% 0.18/0.48  number of clauses initially in problem: 325
% 0.18/0.48  percentage of clauses intially in UL: 90
% 0.18/0.48  percentage of distinct symbols occuring in initial UL: 100
% 0.18/0.48  percent of all initial clauses that are short: 100
% 0.18/0.48  absolute distinct symbol count: 53
% 0.18/0.48     distinct predicate count: 48
% 0.18/0.48     distinct function count: 0
% 0.18/0.48     distinct constant count: 5
% 0.18/0.48  
% 0.18/0.48  ---------- no more Softie stats ----------
% 0.18/0.48  
% 0.18/0.48  
% 0.18/0.48  
% 0.18/0.48  Model 2 (0.00 seconds, 0 Inserts)
% 0.18/0.48  
% 0.18/0.48  Stopped by limit on number of solutions
% 0.18/0.48  
% 0.18/0.48  =========== start of search ===========
% 9.15/9.34  
% 9.15/9.34  -------- PROOF -------- 
% 9.15/9.34  % SZS status Unsatisfiable
% 9.15/9.34  % SZS output start Refutation
% 9.15/9.34  
% 9.15/9.34  Model 3 (0.00 seconds, 0 Inserts)
% 9.15/9.34  
% 9.15/9.34  Stopped by limit on number of solutions
% 9.15/9.34  
% 9.15/9.34  Stopped by limit on insertions
% 9.15/9.34  
% 9.15/9.34  Model 4 [ 2 2 2980 ] (0.00 seconds, 250000 Inserts)
% 9.15/9.34  
% 9.15/9.34  Stopped by limit on insertions
% 9.15/9.34  
% 9.15/9.34  Model 5 [ 1 3 8904 ] (0.00 seconds, 250000 Inserts)
% 9.15/9.34  
% 9.15/9.34  Stopped by limit on insertions
% 9.15/9.34  
% 9.15/9.34  Model 6 [ 2 3 11202 ] (0.00 seconds, 250000 Inserts)
% 9.15/9.34  
% 9.15/9.34  Stopped by limit on insertions
% 9.15/9.34  
% 9.15/9.34  Model 7 [ 4 2 4672 ] (0.00 seconds, 250000 Inserts)
% 9.15/9.34  
% 9.15/9.34  Stopped by limit on insertions
% 9.15/9.34  
% 9.15/9.34  Model 8 [ 1 3 8450 ] (0.00 seconds, 250000 Inserts)
% 9.15/9.34  
% 9.15/9.34  Stopped by limit on insertions
% 9.15/9.34  
% 9.15/9.34  Model 9 [ 3 2 9131 ] (0.00 seconds, 250000 Inserts)
% 9.15/9.34  
% 9.15/9.34  Stopped by limit on insertions
% 9.15/9.34  
% 9.15/9.34  Model 10 [ 3 3 14305 ] (0.00 seconds, 250000 Inserts)
% 9.15/9.34  
% 9.15/9.34  Stopped by limit on insertions
% 9.15/9.34  
% 9.15/9.34  Model 11 [ 5 2 2940 ] (0.00 seconds, 250000 Inserts)
% 9.15/9.34  
% 9.15/9.34  Stopped by limit on insertions
% 9.15/9.34  
% 9.15/9.34  Model 12 [ 4 2 7084 ] (0.00 seconds, 250000 Inserts)
% 9.15/9.34  
% 9.15/9.34  Stopped by limit on insertions
% 9.15/9.34  
% 9.15/9.34  Model 13 [ 10 2 8328 ] (0.00 seconds, 250000 Inserts)
% 9.15/9.34  
% 9.15/9.34  Stopped by limit on insertions
% 9.15/9.34  
% 9.15/9.34  Model 14 [ 10 2 4050 ] (0.00 seconds, 250000 Inserts)
% 9.15/9.34  
% 9.15/9.34  Stopped by limit on insertions
% 9.15/9.34  
% 9.15/9.34  Model 15 [ 12 2 4926 ] (0.00 seconds, 250000 Inserts)
% 9.15/9.34  
% 9.15/9.34  Stopped by limit on insertions
% 9.15/9.34  
% 9.15/9.34  Model 16 [ 14 2 5650 ] (0.00 seconds, 250000 Inserts)
% 9.15/9.34  
% 9.15/9.34  Stopped by limit on insertions
% 9.15/9.34  
% 9.15/9.34  Model 17 [ 7 2 6531 ] (0.00 seconds, 250000 Inserts)
% 9.15/9.34  
% 9.15/9.34  Stopped by limit on insertions
% 9.15/9.34  
% 9.15/9.34  Model 18 [ 14 2 5752 ] (0.00 seconds, 250000 Inserts)
% 9.15/9.34  
% 9.15/9.34  Stopped by limit on insertions
% 9.15/9.34  
% 9.15/9.34  Model 19 [ 17 1 1198 ] (0.00 seconds, 250000 Inserts)
% 9.15/9.34  
% 9.15/9.34  Stopped by limit on insertions
% 9.15/9.34  
% 9.15/9.34  Model 20 [ 11 2 7492 ] (0.00 seconds, 250000 Inserts)
% 9.15/9.34  
% 9.15/9.34  Stopped by limit on insertions
% 9.15/9.34  
% 9.15/9.34  Model 21 [ 18 2 7454 ] (0.00 seconds, 250000 Inserts)
% 9.15/9.34  
% 9.15/9.34  Stopped by limit on insertions
% 9.15/9.34  
% 9.15/9.34  Model 22 [ 13 3 8958 ] (0.00 seconds, 250000 Inserts)
% 9.15/9.34  
% 9.15/9.34  Stopped by limit on insertions
% 9.15/9.34  
% 9.15/9.34  Model 23 [ 12 3 11029 ] (0.00 seconds, 250000 Inserts)
% 9.15/9.34  
% 9.15/9.34  Stopped by limit on insertions
% 9.15/9.34  
% 9.15/9.34  Model 24 [ 24 3 13312 ] (0.00 seconds, 250000 Inserts)
% 9.15/9.34  
% 9.15/9.34  Stopped by limit on insertions
% 9.15/9.34  
% 9.15/9.34  Model 25 [ 22 2 4837 ] (0.00 seconds, 250000 Inserts)
% 9.15/9.34  
% 9.15/9.34  Stopped by limit on insertions
% 9.15/9.34  
% 9.15/9.34  Model 26 [ 17 2 5432 ] (0.00 seconds, 250000 Inserts)
% 9.15/9.34  
% 9.15/9.34  Stopped by limit on insertions
% 9.15/9.34  
% 9.15/9.34  Stopped by limit on insertions
% 9.15/9.34  
% 9.15/9.34  Model 27 [ 20 3 12930 ] (0.00 seconds, 250000 Inserts)
% 9.15/9.34  
% 9.15/9.34  Stopped by limit on insertions
% 9.15/9.34  
% 9.15/9.34  Model 28 [ 26 2 7752 ] (0.00 seconds, 250000 Inserts)
% 9.15/9.34  
% 9.15/9.34  Stopped by limit on insertions
% 9.15/9.34  
% 9.15/9.34  Model 29 [ 31 2 3854 ] (0.00 seconds, 250000 Inserts)
% 9.15/9.34  
% 9.15/9.34  Stopped by limit on insertions
% 9.15/9.34  
% 9.15/9.34  Stopped by limit on insertions
% 9.15/9.34  
% 9.15/9.34  Model 30 [ 24 2 8693 ] (0.00 seconds, 250000 Inserts)
% 9.15/9.34  
% 9.15/9.34  Stopped by limit on insertions
% 9.15/9.34  
% 9.15/9.34  Stopped by limit on insertions
% 9.15/9.34  
% 9.15/9.34  Model 31 [ 22 2 7492 ] (0.00 seconds, 250000 Inserts)
% 9.15/9.34  
% 9.15/9.34  Stopped by limit on insertions
% 9.15/9.34  
% 9.15/9.34  Model 32 [ 27 1 3690 ] (0.00 seconds, 250000 Inserts)
% 9.15/9.34  
% 9.15/9.34  Stopped by limit on insertions
% 9.15/9.34  
% 9.15/9.34  Stopped by limit on insertions
% 9.15/9.34  
% 9.15/9.34  Model 33 [ 33 2 8620 ] (0.00 seconds, 250000 Inserts)
% 9.15/9.34  
% 9.15/9.34  Stopped by limit on insertions
% 9.15/9.34  
% 9.15/9.34  Model 34 [ 23 3 10248 ] (0.00 seconds, 250000 Inserts)
% 9.15/9.34  
% 9.15/9.34  Stopped by limit on insertions
% 9.15/9.34  
% 9.15/9.34  Model 35 [ 37 2 9689 ] (0.00 seconds, 250000 Inserts)
% 9.15/9.34  
% 9.15/9.34  Stopped by limit on insertions
% 9.15/9.34  
% 9.15/9.34  Model 36 [ 31 4 16280 ] (0.00 seconds, 250000 Inserts)
% 9.15/9.34  
% 9.15/9.34  Stopped by limit on insertions
% 9.15/9.34  
% 9.15/9.34  Model 37 [ 30 3 12064 ] (0.00 seconds, 250000 Inserts)
% 9.15/9.34  
% 9.15/9.34  Stopped by limit on insertions
% 9.15/9.34  
% 9.15/9.34  Model 38 [ 24 2 3524 ] (0.00 seconds, 250000 Inserts)
% 9.15/9.34  
% 9.15/9.34  Stopped by limit on insertions
% 9.15/9.34  
% 9.15/9.34  Model 39 [ 45 2 3311 ] (0.00 seconds, 250000 Inserts)
% 9.15/9.34  
% 9.15/9.34  Stopped by limit on insertions
% 9.15/9.34  
% 9.15/9.34  Model 40 [ 35 2 4700 ] (0.00 seconds, 250000 Inserts)
% 9.15/9.34  
% 9.15/9.34  ----> UNIT CONFLICT at   8.96 sec ----> 478 [binary,477.1,307.1] {-} $F.
% 9.15/9.34  
% 9.15/9.34  Length of proof is 4.  Level of proof is 4.
% 9.15/9.34  
% 9.15/9.34  ---------------- PROOF ----------------
% 9.15/9.34  % SZS status Unsatisfiable
% 9.15/9.34  % SZS output start Refutation
% 9.15/9.34  
% 9.15/9.34  109 [] {+} s1(A)| -p0(A,A).
% 9.15/9.34  110 [] {+} s1(A)| -q0(A,B)| -s1(C).
% 9.15/9.34  115 [] {+} l2(A,B)| -s1(A)| -n0(e,B)| -l2(B,B).
% 9.15/9.34  116 [] {+} l2(A,A)| -p0(B,B)| -s1(C)| -m0(D,C,A).
% 9.15/9.34  307 [] {+} -l2(a,b).
% 9.15/9.34  318 [] {+} n0(e,b).
% 9.15/9.34  321 [] {+} p0(b,A).
% 9.15/9.34  324 [] {+} q0(A,d).
% 9.15/9.34  326 [] {+} m0(A,d,B).
% 9.15/9.34  377 [hyper,321,109] {+} s1(b).
% 9.15/9.34  407 [hyper,377,110,324] {+} s1(A).
% 9.15/9.34  426 [hyper,407,116,321,326] {+} l2(A,A).
% 9.15/9.34  477 [hyper,426,115,407,318] {-} l2(A,b).
% 9.15/9.34  478 [binary,477.1,307.1] {-} $F.
% 9.15/9.34  
% 9.15/9.34  % SZS output end Refutation
% 9.15/9.34  ------------ end of proof -------------
% 9.15/9.34  
% 9.15/9.34  
% 9.15/9.34  Search stopped by max_proofs option.
% 9.15/9.34  
% 9.15/9.34  
% 9.15/9.34  Search stopped by max_proofs option.
% 9.15/9.34  
% 9.15/9.34  ============ end of search ============
% 9.15/9.34  
% 9.15/9.34  ----------- soft-scott stats ----------
% 9.15/9.34  
% 9.15/9.34  true clauses given           6      (12.2%)
% 9.15/9.34  false clauses given         43
% 9.15/9.34  
% 9.15/9.34        FALSE     TRUE
% 9.15/9.34     3  0         8
% 9.15/9.34     4  12        45
% 9.15/9.34  tot:  12        53      (81.5% true)
% 9.15/9.34  
% 9.15/9.34  
% 9.15/9.34  Model 40 [ 35 2 4700 ] (0.00 seconds, 250000 Inserts)
% 9.15/9.34  
% 9.15/9.34  That finishes the proof of the theorem.
% 9.15/9.34  
% 9.15/9.34  Process 7508 finished Tue Jul 12 06:11:36 2022
%------------------------------------------------------------------------------