TSTP Solution File: SYN251-1 by SOS---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SOS---2.0
% Problem  : SYN251-1 : TPTP v8.1.0. Released v1.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : sos-script %s

% Computer : n022.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 12:11:12 EDT 2022

% Result   : Unsatisfiable 7.96s 8.13s
% Output   : Refutation 7.96s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SYN251-1 : TPTP v8.1.0. Released v1.1.0.
% 0.07/0.13  % Command  : sos-script %s
% 0.14/0.34  % Computer : n022.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % WCLimit  : 600
% 0.14/0.34  % DateTime : Tue Jul 12 08:26:25 EDT 2022
% 0.14/0.34  % CPUTime  : 
% 0.14/0.38  ----- Otter 3.2, August 2001 -----
% 0.14/0.38  The process was started by sandbox2 on n022.cluster.edu,
% 0.14/0.38  Tue Jul 12 08:26:25 2022
% 0.14/0.38  The command was "./sos".  The process ID is 10824.
% 0.14/0.38  
% 0.14/0.38  set(prolog_style_variables).
% 0.14/0.38  set(auto).
% 0.14/0.38     dependent: set(auto1).
% 0.14/0.38     dependent: set(process_input).
% 0.14/0.38     dependent: clear(print_kept).
% 0.14/0.38     dependent: clear(print_new_demod).
% 0.14/0.38     dependent: clear(print_back_demod).
% 0.14/0.38     dependent: clear(print_back_sub).
% 0.14/0.38     dependent: set(control_memory).
% 0.14/0.38     dependent: assign(max_mem, 12000).
% 0.14/0.38     dependent: assign(pick_given_ratio, 4).
% 0.14/0.38     dependent: assign(stats_level, 1).
% 0.14/0.38     dependent: assign(pick_semantic_ratio, 3).
% 0.14/0.38     dependent: assign(sos_limit, 5000).
% 0.14/0.38     dependent: assign(max_weight, 60).
% 0.14/0.38  clear(print_given).
% 0.14/0.38  
% 0.14/0.38  list(usable).
% 0.14/0.38  
% 0.14/0.38  SCAN INPUT: prop=0, horn=1, equality=0, symmetry=0, max_lits=5.
% 0.14/0.38  
% 0.14/0.38  This is a Horn set without equality.  The strategy will
% 0.14/0.38  be hyperresolution, with satellites in sos and nuclei
% 0.14/0.38  in usable.
% 0.14/0.38  
% 0.14/0.38     dependent: set(hyper_res).
% 0.14/0.38     dependent: clear(order_hyper).
% 0.14/0.38  
% 0.14/0.38  ------------> process usable:
% 0.14/0.38    Following clause subsumed by 13 during input processing: 0 [] {-} m1(A,A,A)| -q0(B,C)| -q0(B,A).
% 0.14/0.38    Following clause subsumed by 14 during input processing: 0 [] {-} m1(A,A,A)| -m0(B,C,A).
% 0.14/0.38    Following clause subsumed by 14 during input processing: 0 [] {-} m1(A,A,A)| -l0(A)| -k0(A)| -m0(A,A,A).
% 0.14/0.38    Following clause subsumed by 12 during input processing: 0 [] {-} m1(e,e,e)| -r0(e).
% 0.14/0.38    Following clause subsumed by 63 during input processing: 0 [] {-} p1(A,A,A)| -n0(e,b)| -k0(b)| -k0(A)| -k1(B).
% 0.14/0.38    Following clause subsumed by 64 during input processing: 0 [] {-} p1(A,A,B)| -p0(B,A)| -r0(A).
% 0.14/0.38    Following clause subsumed by 63 during input processing: 0 [] {-} p1(e,e,e)| -r0(e)| -k0(e).
% 0.14/0.38    Following clause subsumed by 88 during input processing: 0 [] {-} q1(A,A,A)| -s0(A)| -m0(B,B,C).
% 0.14/0.38    Following clause subsumed by 88 during input processing: 0 [] {-} q1(A,A,A)| -s0(A).
% 0.14/0.38    Following clause subsumed by 88 during input processing: 0 [] {-} q1(d,d,d)| -k0(e)| -s0(d).
% 0.14/0.38    Following clause subsumed by 105 during input processing: 0 [] {-} q1(b,b,b)| -r0(b).
% 0.14/0.38    Following clause subsumed by 99 during input processing: 0 [] {-} q1(A,A,A)| -m0(B,C,A).
% 0.14/0.38    Following clause subsumed by 99 during input processing: 0 [] {-} q1(A,A,A)| -m0(A,B,A).
% 0.14/0.38    Following clause subsumed by 105 during input processing: 0 [] {-} q1(A,A,A)| -m0(c,A,A)| -r0(A).
% 0.14/0.38    Following clause subsumed by 142 during input processing: 0 [] {-} p2(A,A,A)| -s1(A)| -k1(A).
% 0.14/0.38    Following clause subsumed by 224 during input processing: 0 [] {-} p3(A,A,A)| -n2(A)| -q2(B,C,A)| -s1(B).
% 0.14/0.38    Following clause subsumed by 224 during input processing: 0 [] {-} p3(A,A,A)| -k1(A)| -n2(A).
% 0.14/0.38  13 back subsumes 9.
% 0.14/0.38  14 back subsumes 6.
% 0.14/0.38  28 back subsumes 21.
% 0.14/0.38  28 back subsumes 17.
% 0.14/0.38  40 back subsumes 39.
% 0.14/0.38  52 back subsumes 51.
% 0.14/0.38  77 back subsumes 68.
% 0.14/0.38  77 back subsumes 65.
% 0.14/0.38  142 back subsumes 134.
% 0.14/0.38  194 back subsumes 180.
% 0.14/0.38  216 back subsumes 213.
% 0.14/0.38  216 back subsumes 212.
% 0.14/0.38  244 back subsumes 239.
% 0.14/0.38  
% 0.14/0.38  ------------> process sos:
% 0.14/0.38    Following clause subsumed by 321 during input processing: 0 [] {-} p0(b,c).
% 0.14/0.38    Following clause subsumed by 324 during input processing: 0 [] {-} q0(d,d).
% 0.14/0.38  321 back subsumes 317.
% 0.14/0.38  324 back subsumes 309.
% 0.14/0.38  326 back subsumes 315.
% 0.14/0.38  326 back subsumes 311.
% 0.14/0.38  
% 0.14/0.38  ======= end of input processing =======
% 0.20/0.50  
% 0.20/0.50  Model 1 (0.00 seconds, 0 Inserts)
% 0.20/0.50  
% 0.20/0.50  Stopped by limit on number of solutions
% 0.20/0.50  
% 0.20/0.50  
% 0.20/0.50  -------------- Softie stats --------------
% 0.20/0.50  
% 0.20/0.50  UPDATE_STOP: 300
% 0.20/0.50  SFINDER_TIME_LIMIT: 2
% 0.20/0.50  SHORT_CLAUSE_CUTOFF: 4
% 0.20/0.50  number of clauses in intial UL: 294
% 0.20/0.50  number of clauses initially in problem: 326
% 0.20/0.50  percentage of clauses intially in UL: 90
% 0.20/0.50  percentage of distinct symbols occuring in initial UL: 100
% 0.20/0.50  percent of all initial clauses that are short: 100
% 0.20/0.50  absolute distinct symbol count: 53
% 0.20/0.50     distinct predicate count: 48
% 0.20/0.50     distinct function count: 0
% 0.20/0.50     distinct constant count: 5
% 0.20/0.50  
% 0.20/0.50  ---------- no more Softie stats ----------
% 0.20/0.50  
% 0.20/0.50  
% 0.20/0.50  
% 0.20/0.50  Model 2 (0.00 seconds, 0 Inserts)
% 0.20/0.50  
% 0.20/0.50  Stopped by limit on number of solutions
% 0.20/0.50  
% 0.20/0.50  =========== start of search ===========
% 7.96/8.13  
% 7.96/8.13  -------- PROOF -------- 
% 7.96/8.13  % SZS status Unsatisfiable
% 7.96/8.13  % SZS output start Refutation
% 7.96/8.13  
% 7.96/8.13  Model 3 (0.00 seconds, 0 Inserts)
% 7.96/8.13  
% 7.96/8.13  Stopped by limit on number of solutions
% 7.96/8.13  
% 7.96/8.13  Model 4 (0.00 seconds, 0 Inserts)
% 7.96/8.13  
% 7.96/8.13  Stopped by limit on number of solutions
% 7.96/8.13  
% 7.96/8.13  Stopped by limit on insertions
% 7.96/8.13  
% 7.96/8.13  Model 5 [ 3 2 3604 ] (0.00 seconds, 250000 Inserts)
% 7.96/8.13  
% 7.96/8.13  Stopped by limit on insertions
% 7.96/8.13  
% 7.96/8.13  Model 6 [ 1 3 7059 ] (0.00 seconds, 250000 Inserts)
% 7.96/8.13  
% 7.96/8.13  Stopped by limit on insertions
% 7.96/8.13  
% 7.96/8.13  Model 7 [ 1 2 2785 ] (0.00 seconds, 250000 Inserts)
% 7.96/8.13  
% 7.96/8.13  Stopped by limit on insertions
% 7.96/8.13  
% 7.96/8.13  Model 8 [ 4 2 3501 ] (0.00 seconds, 250000 Inserts)
% 7.96/8.13  
% 7.96/8.13  Stopped by limit on insertions
% 7.96/8.13  
% 7.96/8.13  Stopped by limit on insertions
% 7.96/8.13  
% 7.96/8.13  Model 9 [ 1 3 11119 ] (0.00 seconds, 250000 Inserts)
% 7.96/8.13  
% 7.96/8.13  Stopped by limit on insertions
% 7.96/8.13  
% 7.96/8.13  Model 10 [ 3 2 13370 ] (0.00 seconds, 250000 Inserts)
% 7.96/8.13  
% 7.96/8.13  Stopped by limit on insertions
% 7.96/8.13  
% 7.96/8.13  Model 11 [ 6 2 12741 ] (0.00 seconds, 250000 Inserts)
% 7.96/8.13  
% 7.96/8.13  Stopped by limit on insertions
% 7.96/8.13  
% 7.96/8.13  Model 12 [ 7 2 7592 ] (0.00 seconds, 250000 Inserts)
% 7.96/8.13  
% 7.96/8.13  Stopped by limit on insertions
% 7.96/8.13  
% 7.96/8.13  Model 13 [ 12 4 12734 ] (0.00 seconds, 250000 Inserts)
% 7.96/8.13  
% 7.96/8.13  Stopped by limit on insertions
% 7.96/8.13  
% 7.96/8.13  Model 14 [ 11 2 4566 ] (0.00 seconds, 250000 Inserts)
% 7.96/8.13  
% 7.96/8.13  Stopped by limit on insertions
% 7.96/8.13  
% 7.96/8.13  Model 15 [ 10 2 7601 ] (0.00 seconds, 250000 Inserts)
% 7.96/8.13  
% 7.96/8.13  Stopped by limit on insertions
% 7.96/8.13  
% 7.96/8.13  Model 16 [ 12 3 12793 ] (0.00 seconds, 250000 Inserts)
% 7.96/8.13  
% 7.96/8.13  Stopped by limit on insertions
% 7.96/8.13  
% 7.96/8.13  Model 17 [ 13 2 4249 ] (0.00 seconds, 250000 Inserts)
% 7.96/8.13  
% 7.96/8.13  Stopped by limit on insertions
% 7.96/8.13  
% 7.96/8.13  Model 18 [ 11 3 10971 ] (0.00 seconds, 250000 Inserts)
% 7.96/8.13  
% 7.96/8.13  Stopped by limit on insertions
% 7.96/8.13  
% 7.96/8.13  Model 19 [ 11 1 2525 ] (0.00 seconds, 250000 Inserts)
% 7.96/8.13  
% 7.96/8.13  Stopped by limit on insertions
% 7.96/8.13  
% 7.96/8.13  Model 20 [ 9 3 7412 ] (0.00 seconds, 250000 Inserts)
% 7.96/8.13  
% 7.96/8.13  Stopped by limit on insertions
% 7.96/8.13  
% 7.96/8.13  Model 21 [ 10 1 3015 ] (0.00 seconds, 250000 Inserts)
% 7.96/8.13  
% 7.96/8.13  Stopped by limit on insertions
% 7.96/8.13  
% 7.96/8.13  Model 22 [ 14 2 8800 ] (0.00 seconds, 250000 Inserts)
% 7.96/8.13  
% 7.96/8.13  Stopped by limit on insertions
% 7.96/8.13  
% 7.96/8.13  Model 23 [ 20 2 8733 ] (0.00 seconds, 250000 Inserts)
% 7.96/8.13  
% 7.96/8.13  Stopped by limit on insertions
% 7.96/8.13  
% 7.96/8.13  Model 24 [ 21 2 4855 ] (0.00 seconds, 250000 Inserts)
% 7.96/8.13  
% 7.96/8.13  Stopped by limit on insertions
% 7.96/8.13  
% 7.96/8.13  Model 25 [ 18 2 7081 ] (0.00 seconds, 250000 Inserts)
% 7.96/8.13  
% 7.96/8.13  Stopped by limit on insertions
% 7.96/8.13  
% 7.96/8.13  Model 26 [ 28 2 2839 ] (0.00 seconds, 250000 Inserts)
% 7.96/8.13  
% 7.96/8.13  Stopped by limit on insertions
% 7.96/8.13  
% 7.96/8.13  Model 27 [ 9 3 5149 ] (0.00 seconds, 250000 Inserts)
% 7.96/8.13  
% 7.96/8.13  Stopped by limit on insertions
% 7.96/8.13  
% 7.96/8.13  Model 28 [ 19 2 6561 ] (0.00 seconds, 250000 Inserts)
% 7.96/8.13  
% 7.96/8.13  Stopped by limit on insertions
% 7.96/8.13  
% 7.96/8.13  Model 29 [ 22 2 6611 ] (0.00 seconds, 250000 Inserts)
% 7.96/8.13  
% 7.96/8.13  Stopped by limit on insertions
% 7.96/8.13  
% 7.96/8.13  Model 30 [ 30 2 5456 ] (0.00 seconds, 250000 Inserts)
% 7.96/8.13  
% 7.96/8.13  Stopped by limit on insertions
% 7.96/8.13  
% 7.96/8.13  Stopped by limit on insertions
% 7.96/8.13  
% 7.96/8.13  Model 31 [ 25 2 5319 ] (0.00 seconds, 250000 Inserts)
% 7.96/8.13  
% 7.96/8.13  Stopped by limit on insertions
% 7.96/8.13  
% 7.96/8.13  Model 32 [ 26 2 3224 ] (0.00 seconds, 250000 Inserts)
% 7.96/8.13  
% 7.96/8.13  Stopped by limit on insertions
% 7.96/8.13  
% 7.96/8.13  Stopped by limit on insertions
% 7.96/8.13  
% 7.96/8.13  Model 33 [ 26 2 5974 ] (0.00 seconds, 250000 Inserts)
% 7.96/8.13  
% 7.96/8.13  Stopped by limit on insertions
% 7.96/8.13  
% 7.96/8.13  Model 34 [ 27 2 6725 ] (0.00 seconds, 250000 Inserts)
% 7.96/8.13  
% 7.96/8.13  ----> UNIT CONFLICT at   7.74 sec ----> 454 [binary,453.1,307.1] {-} $F.
% 7.96/8.13  
% 7.96/8.13  Length of proof is 1.  Level of proof is 1.
% 7.96/8.13  
% 7.96/8.13  ---------------- PROOF ----------------
% 7.96/8.13  % SZS status Unsatisfiable
% 7.96/8.13  % SZS output start Refutation
% 7.96/8.13  
% 7.96/8.13  15 [] {+} m1(A,B,B)| -l0(C)| -m0(B,B,A).
% 7.96/8.13  307 [] {+} -m1(e,b,b).
% 7.96/8.13  330 [] {+} l0(c).
% 7.96/8.13  336 [] {+} m0(b,b,e).
% 7.96/8.13  453 [hyper,336,15,330] {-} m1(e,b,b).
% 7.96/8.13  454 [binary,453.1,307.1] {-} $F.
% 7.96/8.13  
% 7.96/8.13  % SZS output end Refutation
% 7.96/8.13  ------------ end of proof -------------
% 7.96/8.13  
% 7.96/8.13  
% 7.96/8.13  Search stopped by max_proofs option.
% 7.96/8.13  
% 7.96/8.13  
% 7.96/8.13  Search stopped by max_proofs option.
% 7.96/8.13  
% 7.96/8.13  ============ end of search ============
% 7.96/8.13  
% 7.96/8.13  ----------- soft-scott stats ----------
% 7.96/8.13  
% 7.96/8.13  true clauses given           5      (12.2%)
% 7.96/8.13  false clauses given         36
% 7.96/8.13  
% 7.96/8.13        FALSE     TRUE
% 7.96/8.13     3  2         7
% 7.96/8.13     4  15        44
% 7.96/8.13  tot:  17        51      (75.0% true)
% 7.96/8.13  
% 7.96/8.13  
% 7.96/8.13  Model 34 [ 27 2 6725 ] (0.00 seconds, 250000 Inserts)
% 7.96/8.13  
% 7.96/8.13  That finishes the proof of the theorem.
% 7.96/8.13  
% 7.96/8.13  Process 10824 finished Tue Jul 12 08:26:32 2022
%------------------------------------------------------------------------------