TSTP Solution File: SYN196-1 by SOS---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SOS---2.0
% Problem  : SYN196-1 : TPTP v8.1.0. Released v1.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : sos-script %s

% Computer : n007.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 12:10:50 EDT 2022

% Result   : Unsatisfiable 2.23s 2.42s
% Output   : Refutation 2.23s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12  % Problem  : SYN196-1 : TPTP v8.1.0. Released v1.1.0.
% 0.08/0.13  % Command  : sos-script %s
% 0.14/0.34  % Computer : n007.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 05:33:33 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 n007.cluster.edu,
% 0.14/0.38  Tue Jul 12 05:33:33 2022
% 0.14/0.38  The command was "./sos".  The process ID is 20011.
% 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  307 back subsumes 172.
% 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: 293
% 0.20/0.50  number of clauses initially in problem: 325
% 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 ===========
% 2.23/2.42  
% 2.23/2.42  -------- PROOF -------- 
% 2.23/2.42  % SZS status Unsatisfiable
% 2.23/2.42  % SZS output start Refutation
% 2.23/2.42  
% 2.23/2.42  Model 3 (0.00 seconds, 0 Inserts)
% 2.23/2.42  
% 2.23/2.42  Stopped by limit on number of solutions
% 2.23/2.42  
% 2.23/2.42  Model 4 (0.00 seconds, 0 Inserts)
% 2.23/2.42  
% 2.23/2.42  Stopped by limit on number of solutions
% 2.23/2.42  
% 2.23/2.42  Model 5 (0.00 seconds, 0 Inserts)
% 2.23/2.42  
% 2.23/2.42  Stopped by limit on number of solutions
% 2.23/2.42  
% 2.23/2.42  Stopped by limit on insertions
% 2.23/2.42  
% 2.23/2.42  Model 6 [ 3 2 4226 ] (0.00 seconds, 250000 Inserts)
% 2.23/2.42  
% 2.23/2.42  Stopped by limit on insertions
% 2.23/2.42  
% 2.23/2.42  Model 7 [ 2 2 4374 ] (0.00 seconds, 250000 Inserts)
% 2.23/2.42  
% 2.23/2.42  Stopped by limit on insertions
% 2.23/2.42  
% 2.23/2.42  Model 8 [ 3 1 4188 ] (0.00 seconds, 250000 Inserts)
% 2.23/2.42  
% 2.23/2.42  Stopped by limit on insertions
% 2.23/2.42  
% 2.23/2.42  Model 9 [ 4 2 8111 ] (0.00 seconds, 250000 Inserts)
% 2.23/2.42  
% 2.23/2.42  Stopped by limit on insertions
% 2.23/2.42  
% 2.23/2.42  Model 10 [ 8 2 6697 ] (0.00 seconds, 250000 Inserts)
% 2.23/2.42  
% 2.23/2.42  Stopped by limit on insertions
% 2.23/2.42  
% 2.23/2.42  Model 11 [ 8 2 4449 ] (0.00 seconds, 250000 Inserts)
% 2.23/2.42  
% 2.23/2.42  Stopped by limit on insertions
% 2.23/2.42  
% 2.23/2.42  Model 12 [ 1 2 5160 ] (0.00 seconds, 250000 Inserts)
% 2.23/2.42  
% 2.23/2.42  Stopped by limit on insertions
% 2.23/2.42  
% 2.23/2.42  Model 13 [ 10 2 4657 ] (0.00 seconds, 250000 Inserts)
% 2.23/2.42  
% 2.23/2.42  Stopped by limit on insertions
% 2.23/2.42  
% 2.23/2.42  Model 14 [ 11 1 1813 ] (0.00 seconds, 250000 Inserts)
% 2.23/2.42  
% 2.23/2.42  Stopped by limit on insertions
% 2.23/2.42  
% 2.23/2.42  Model 15 [ 6 2 4558 ] (0.00 seconds, 250000 Inserts)
% 2.23/2.42  
% 2.23/2.42  Stopped by limit on insertions
% 2.23/2.42  
% 2.23/2.42  Model 16 [ 6 3 12579 ] (0.00 seconds, 250000 Inserts)
% 2.23/2.42  
% 2.23/2.42  Stopped by limit on insertions
% 2.23/2.42  
% 2.23/2.42  Model 17 [ 13 3 8710 ] (0.00 seconds, 250000 Inserts)
% 2.23/2.42  
% 2.23/2.42  ----> UNIT CONFLICT at   2.01 sec ----> 396 [binary,395.1,307.1] {+} $F.
% 2.23/2.42  
% 2.23/2.42  Length of proof is 2.  Level of proof is 2.
% 2.23/2.42  
% 2.23/2.42  ---------------- PROOF ----------------
% 2.23/2.42  % SZS status Unsatisfiable
% 2.23/2.42  % SZS output start Refutation
% 2.23/2.42  
% 2.23/2.42  109 [] {+} s1(A)| -p0(A,A).
% 2.23/2.42  110 [] {+} s1(A)| -q0(A,B)| -s1(C).
% 2.23/2.42  307 [] {+} -s1(a).
% 2.23/2.42  321 [] {+} p0(b,A).
% 2.23/2.42  324 [] {+} q0(A,d).
% 2.23/2.42  374 [hyper,321,109] {+} s1(b).
% 2.23/2.42  395 [hyper,324,110,374] {-} s1(A).
% 2.23/2.42  396 [binary,395.1,307.1] {+} $F.
% 2.23/2.42  
% 2.23/2.42  % SZS output end Refutation
% 2.23/2.42  ------------ end of proof -------------
% 2.23/2.42  
% 2.23/2.42  
% 2.23/2.42  Search stopped by max_proofs option.
% 2.23/2.42  
% 2.23/2.42  
% 2.23/2.42  Search stopped by max_proofs option.
% 2.23/2.42  
% 2.23/2.42  ============ end of search ============
% 2.23/2.42  
% 2.23/2.42  ----------- soft-scott stats ----------
% 2.23/2.42  
% 2.23/2.42  true clauses given           2      (11.1%)
% 2.23/2.42  false clauses given         16
% 2.23/2.42  
% 2.23/2.42        FALSE     TRUE
% 2.23/2.42     3  12        0
% 2.23/2.42     4  25        11
% 2.23/2.42  tot:  37        11      (22.9% true)
% 2.23/2.42  
% 2.23/2.42  
% 2.23/2.42  Model 17 [ 13 3 8710 ] (0.00 seconds, 250000 Inserts)
% 2.23/2.42  
% 2.23/2.42  That finishes the proof of the theorem.
% 2.23/2.42  
% 2.23/2.42  Process 20011 finished Tue Jul 12 05:33:35 2022
%------------------------------------------------------------------------------