TSTP Solution File: FLD033-3 by SOS---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SOS---2.0
% Problem  : FLD033-3 : TPTP v8.1.0. Bugfixed v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : sos-script %s

% Computer : n025.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 : Sat Jul 16 02:27:44 EDT 2022

% Result   : Unsatisfiable 2.64s 2.81s
% Output   : Refutation 2.64s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : FLD033-3 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.06/0.13  % Command  : sos-script %s
% 0.12/0.33  % Computer : n025.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
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 600
% 0.12/0.34  % DateTime : Tue Jun  7 02:45:18 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.12/0.35  ----- Otter 3.2, August 2001 -----
% 0.12/0.35  The process was started by sandbox2 on n025.cluster.edu,
% 0.12/0.35  Tue Jun  7 02:45:18 2022
% 0.12/0.35  The command was "./sos".  The process ID is 15085.
% 0.12/0.35  
% 0.12/0.35  set(prolog_style_variables).
% 0.12/0.35  set(auto).
% 0.12/0.35     dependent: set(auto1).
% 0.12/0.35     dependent: set(process_input).
% 0.12/0.35     dependent: clear(print_kept).
% 0.12/0.35     dependent: clear(print_new_demod).
% 0.12/0.35     dependent: clear(print_back_demod).
% 0.12/0.35     dependent: clear(print_back_sub).
% 0.12/0.35     dependent: set(control_memory).
% 0.12/0.35     dependent: assign(max_mem, 12000).
% 0.12/0.35     dependent: assign(pick_given_ratio, 4).
% 0.12/0.35     dependent: assign(stats_level, 1).
% 0.12/0.35     dependent: assign(pick_semantic_ratio, 3).
% 0.12/0.35     dependent: assign(sos_limit, 5000).
% 0.12/0.35     dependent: assign(max_weight, 60).
% 0.12/0.35  clear(print_given).
% 0.12/0.35  
% 0.12/0.35  list(usable).
% 0.12/0.35  
% 0.12/0.35  SCAN INPUT: prop=0, horn=0, equality=0, symmetry=0, max_lits=5.
% 0.12/0.35  
% 0.12/0.35  This is a non-Horn set without equality.  The strategy
% 0.12/0.35  will be ordered hyper_res, ur_res, unit deletion, and
% 0.12/0.35  factoring, with satellites in sos and nuclei in usable.
% 0.12/0.35  
% 0.12/0.35     dependent: set(hyper_res).
% 0.12/0.35     dependent: set(factor).
% 0.12/0.35     dependent: set(unit_deletion).
% 0.12/0.35  
% 0.12/0.35  ------------> process usable:
% 0.12/0.35  
% 0.12/0.35  ------------> process sos:
% 0.12/0.35  
% 0.12/0.35  ======= end of input processing =======
% 0.19/0.44  
% 0.19/0.44  Model 1 (0.00 seconds, 0 Inserts)
% 0.19/0.44  
% 0.19/0.44  Stopped by limit on number of solutions
% 0.19/0.44  
% 0.19/0.44  
% 0.19/0.44  -------------- Softie stats --------------
% 0.19/0.44  
% 0.19/0.44  UPDATE_STOP: 300
% 0.19/0.44  SFINDER_TIME_LIMIT: 2
% 0.19/0.44  SHORT_CLAUSE_CUTOFF: 4
% 0.19/0.44  number of clauses in intial UL: 49
% 0.19/0.44  number of clauses initially in problem: 54
% 0.19/0.44  percentage of clauses intially in UL: 90
% 0.19/0.44  percentage of distinct symbols occuring in initial UL: 100
% 0.19/0.44  percent of all initial clauses that are short: 100
% 0.19/0.44  absolute distinct symbol count: 12
% 0.19/0.44     distinct predicate count: 4
% 0.19/0.44     distinct function count: 4
% 0.19/0.44     distinct constant count: 4
% 0.19/0.44  
% 0.19/0.44  ---------- no more Softie stats ----------
% 0.19/0.44  
% 0.19/0.44  
% 0.19/0.44  
% 0.19/0.44  Model 2 (0.00 seconds, 0 Inserts)
% 0.19/0.44  
% 0.19/0.44  Stopped by limit on number of solutions
% 0.19/0.44  
% 0.19/0.44  =========== start of search ===========
% 2.64/2.81  
% 2.64/2.81  -------- PROOF -------- 
% 2.64/2.81  % SZS status Unsatisfiable
% 2.64/2.81  % SZS output start Refutation
% 2.64/2.81  
% 2.64/2.81  Stopped by limit on insertions
% 2.64/2.81  
% 2.64/2.81  Model 3 [ 2 1 227 ] (0.00 seconds, 250000 Inserts)
% 2.64/2.81  
% 2.64/2.81  Stopped by limit on insertions
% 2.64/2.81  
% 2.64/2.81  Model 4 [ 2 1 319 ] (0.00 seconds, 250000 Inserts)
% 2.64/2.81  
% 2.64/2.81  Stopped by limit on insertions
% 2.64/2.81  
% 2.64/2.81  Model 5 [ 3 1 817 ] (0.00 seconds, 250000 Inserts)
% 2.64/2.81  
% 2.64/2.81  Stopped by limit on insertions
% 2.64/2.81  
% 2.64/2.81  Model 6 [ 3 2 402 ] (0.00 seconds, 250000 Inserts)
% 2.64/2.81  
% 2.64/2.81  Stopped by limit on insertions
% 2.64/2.81  
% 2.64/2.81  Model 7 [ 3 1 324 ] (0.00 seconds, 250000 Inserts)
% 2.64/2.81  
% 2.64/2.81  Stopped by limit on insertions
% 2.64/2.81  
% 2.64/2.81  Model 8 [ 3 1 145 ] (0.00 seconds, 250000 Inserts)
% 2.64/2.81  
% 2.64/2.81  Stopped by limit on insertions
% 2.64/2.81  
% 2.64/2.81  Model 9 [ 3 1 1111 ] (0.00 seconds, 250000 Inserts)
% 2.64/2.81  
% 2.64/2.81  Stopped by limit on insertions
% 2.64/2.81  
% 2.64/2.81  Model 10 [ 6 4 127062 ] (0.00 seconds, 250000 Inserts)
% 2.64/2.81  
% 2.64/2.81  Stopped by limit on insertions
% 2.64/2.81  
% 2.64/2.81  Model 11 [ 10 1 187 ] (0.00 seconds, 250000 Inserts)
% 2.64/2.81  
% 2.64/2.81  Stopped by limit on insertions
% 2.64/2.81  
% 2.64/2.81  Model 12 [ 3 1 566 ] (0.00 seconds, 250000 Inserts)
% 2.64/2.81  
% 2.64/2.81  Stopped by limit on insertions
% 2.64/2.81  
% 2.64/2.81  Model 13 [ 6 3 68797 ] (0.00 seconds, 250000 Inserts)
% 2.64/2.81  
% 2.64/2.81  Stopped by limit on insertions
% 2.64/2.81  
% 2.64/2.81  Model 14 [ 4 2 495 ] (0.00 seconds, 250000 Inserts)
% 2.64/2.81  
% 2.64/2.81  Stopped by limit on insertions
% 2.64/2.81  
% 2.64/2.81  Model 15 [ 6 4 72126 ] (0.00 seconds, 250000 Inserts)
% 2.64/2.81  
% 2.64/2.81  Stopped by limit on insertions
% 2.64/2.81  
% 2.64/2.81  Model 16 [ 16 1 190 ] (0.00 seconds, 250000 Inserts)
% 2.64/2.81  
% 2.64/2.81  Stopped by limit on insertions
% 2.64/2.81  
% 2.64/2.81  Model 17 [ 15 1 111 ] (0.00 seconds, 250000 Inserts)
% 2.64/2.81  
% 2.64/2.81  Stopped by limit on insertions
% 2.64/2.81  
% 2.64/2.81  Model 18 [ 4 8 232321 ] (0.00 seconds, 250000 Inserts)
% 2.64/2.81  
% 2.64/2.81  Stopped by limit on insertions
% 2.64/2.81  
% 2.64/2.81  Model 19 [ 16 1 105 ] (0.00 seconds, 250000 Inserts)
% 2.64/2.81  
% 2.64/2.81  Stopped by limit on insertions
% 2.64/2.81  
% 2.64/2.81  Model 20 [ 6 2 47747 ] (0.00 seconds, 250000 Inserts)
% 2.64/2.81  
% 2.64/2.81  Stopped by limit on insertions
% 2.64/2.81  
% 2.64/2.81  Model 21 [ 18 1 111 ] (0.00 seconds, 250000 Inserts)
% 2.64/2.81  
% 2.64/2.81  Stopped by limit on insertions
% 2.64/2.81  
% 2.64/2.81  Model 22 [ 4 3 49858 ] (0.00 seconds, 250000 Inserts)
% 2.64/2.81  
% 2.64/2.81  Stopped by limit on insertions
% 2.64/2.81  
% 2.64/2.81  Model 23 [ 20 2 145 ] (0.00 seconds, 250000 Inserts)
% 2.64/2.81  
% 2.64/2.81  Stopped by limit on insertions
% 2.64/2.81  
% 2.64/2.81  Model 24 [ 5 2 300 ] (0.00 seconds, 250000 Inserts)
% 2.64/2.81  
% 2.64/2.81  Stopped by limit on insertions
% 2.64/2.81  
% 2.64/2.81  Model 25 [ 6 2 28204 ] (0.00 seconds, 250000 Inserts)
% 2.64/2.81  
% 2.64/2.81  ----> UNIT CONFLICT at   2.42 sec ----> 1649 [binary,1648.1,26.1] {-} $F.
% 2.64/2.81  
% 2.64/2.81  Length of proof is 4.  Level of proof is 2.
% 2.64/2.81  
% 2.64/2.81  ---------------- PROOF ----------------
% 2.64/2.81  % SZS status Unsatisfiable
% 2.64/2.81  % SZS output start Refutation
% 2.64/2.81  
% 2.64/2.81  7 [] {+} product(A,B,C)| -product(D,E,A)| -product(E,B,F)| -product(D,F,C).
% 2.64/2.81  9 [] {+} product(multiplicative_inverse(A),A,multiplicative_identity)|sum(additive_identity,A,additive_identity)| -defined(A).
% 2.64/2.81  10 [] {+} product(A,B,C)| -product(B,A,C).
% 2.64/2.81  25 [] {+} -sum(additive_identity,a,additive_identity).
% 2.64/2.81  26 [] {+} -product(multiplicative_identity,m,multiplicative_identity).
% 2.64/2.81  33 [factor,7.2.4] {+} product(A,B,A)| -product(C,D,A)| -product(D,B,D).
% 2.64/2.81  52 [] {-} defined(a).
% 2.64/2.81  54 [] {+} product(m,a,a).
% 2.64/2.81  111 [hyper,52,9,unit_del,25] {+} product(multiplicative_inverse(a),a,multiplicative_identity).
% 2.64/2.81  153 [hyper,54,10] {+} product(a,m,a).
% 2.64/2.81  1648 [hyper,111,33,153] {-} product(multiplicative_identity,m,multiplicative_identity).
% 2.64/2.81  1649 [binary,1648.1,26.1] {-} $F.
% 2.64/2.81  
% 2.64/2.81  % SZS output end Refutation
% 2.64/2.81  ------------ end of proof -------------
% 2.64/2.81  
% 2.64/2.81  
% 2.64/2.81  Search stopped by max_proofs option.
% 2.64/2.81  
% 2.64/2.81  
% 2.64/2.81  Search stopped by max_proofs option.
% 2.64/2.81  
% 2.64/2.81  ============ end of search ============
% 2.64/2.81  
% 2.64/2.81  ----------- soft-scott stats ----------
% 2.64/2.81  
% 2.64/2.81  true clauses given           8      (23.5%)
% 2.64/2.81  false clauses given         26
% 2.64/2.81  
% 2.64/2.81        FALSE     TRUE
% 2.64/2.81     4  8         26
% 2.64/2.81     5  25        77
% 2.64/2.81     6  52        192
% 2.64/2.81     7  38        160
% 2.64/2.81     8  44        237
% 2.64/2.81     9  3         13
% 2.64/2.81    10  80        159
% 2.64/2.81    11  0         8
% 2.64/2.81    12  54        175
% 2.64/2.81    14  0         198
% 2.64/2.81    15  0         8
% 2.64/2.81  tot:  304       1253      (80.5% true)
% 2.64/2.81  
% 2.64/2.81  
% 2.64/2.81  Model 25 [ 6 2 28204 ] (0.00 seconds, 250000 Inserts)
% 2.64/2.81  
% 2.64/2.81  That finishes the proof of the theorem.
% 2.64/2.81  
% 2.64/2.81  Process 15085 finished Tue Jun  7 02:45:21 2022
%------------------------------------------------------------------------------