TSTP Solution File: FLD010-3 by SOS---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SOS---2.0
% Problem  : FLD010-3 : TPTP v8.1.0. Bugfixed v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : sos-script %s

% Computer : n021.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 02:27:35 EDT 2022

% Result   : Unsatisfiable 2.52s 2.73s
% Output   : Refutation 2.52s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.11  % Problem  : FLD010-3 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.09/0.12  % Command  : sos-script %s
% 0.12/0.33  % Computer : n021.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 Jun  7 01:48:21 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.12/0.35  ----- Otter 3.2, August 2001 -----
% 0.12/0.35  The process was started by sandbox on n021.cluster.edu,
% 0.12/0.35  Tue Jun  7 01:48:21 2022
% 0.12/0.35  The command was "./sos".  The process ID is 19789.
% 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 =======
% 0.18/0.43  
% 0.18/0.43  Model 1 (0.00 seconds, 0 Inserts)
% 0.18/0.43  
% 0.18/0.43  Stopped by limit on number of solutions
% 0.18/0.43  
% 0.18/0.43  
% 0.18/0.43  -------------- Softie stats --------------
% 0.18/0.43  
% 0.18/0.43  UPDATE_STOP: 300
% 0.18/0.43  SFINDER_TIME_LIMIT: 2
% 0.18/0.43  SHORT_CLAUSE_CUTOFF: 4
% 0.18/0.43  number of clauses in intial UL: 49
% 0.18/0.43  number of clauses initially in problem: 51
% 0.18/0.43  percentage of clauses intially in UL: 96
% 0.18/0.43  percentage of distinct symbols occuring in initial UL: 100
% 0.18/0.43  percent of all initial clauses that are short: 100
% 0.18/0.43  absolute distinct symbol count: 10
% 0.18/0.43     distinct predicate count: 4
% 0.18/0.43     distinct function count: 4
% 0.18/0.43     distinct constant count: 2
% 0.18/0.43  
% 0.18/0.43  ---------- no more Softie stats ----------
% 0.18/0.43  
% 0.18/0.43  
% 0.18/0.43  
% 0.18/0.43  Model 2 (0.00 seconds, 0 Inserts)
% 0.18/0.43  
% 0.18/0.43  Stopped by limit on number of solutions
% 0.18/0.43  
% 0.18/0.43  =========== start of search ===========
% 2.52/2.73  
% 2.52/2.73  -------- PROOF -------- 
% 2.52/2.73  % SZS status Unsatisfiable
% 2.52/2.73  % SZS output start Refutation
% 2.52/2.73  
% 2.52/2.73  Stopped by limit on insertions
% 2.52/2.73  
% 2.52/2.73  Model 3 [ 1 1 576 ] (0.00 seconds, 250000 Inserts)
% 2.52/2.73  
% 2.52/2.73  Stopped by limit on insertions
% 2.52/2.73  
% 2.52/2.73  Model 4 [ 1 2 140 ] (0.00 seconds, 250000 Inserts)
% 2.52/2.73  
% 2.52/2.73  Stopped by limit on insertions
% 2.52/2.73  
% 2.52/2.73  Model 5 [ 1 2 305 ] (0.00 seconds, 250000 Inserts)
% 2.52/2.73  
% 2.52/2.73  Stopped by limit on insertions
% 2.52/2.73  
% 2.52/2.73  Model 6 [ 1 2 417 ] (0.00 seconds, 250000 Inserts)
% 2.52/2.73  
% 2.52/2.73  Stopped by limit on insertions
% 2.52/2.73  
% 2.52/2.73  Model 7 [ 1 1 196 ] (0.00 seconds, 250000 Inserts)
% 2.52/2.73  
% 2.52/2.73  Stopped by limit on insertions
% 2.52/2.73  
% 2.52/2.73  Model 8 [ 1 1 813 ] (0.00 seconds, 250000 Inserts)
% 2.52/2.73  
% 2.52/2.73  Stopped by limit on insertions
% 2.52/2.73  
% 2.52/2.73  Model 9 [ 8 2 183 ] (0.00 seconds, 250000 Inserts)
% 2.52/2.73  
% 2.52/2.73  Stopped by limit on insertions
% 2.52/2.73  
% 2.52/2.73  Model 10 [ 2 1 223 ] (0.00 seconds, 250000 Inserts)
% 2.52/2.73  
% 2.52/2.73  Stopped by limit on insertions
% 2.52/2.73  
% 2.52/2.73  Model 11 [ 1 2 335 ] (0.00 seconds, 250000 Inserts)
% 2.52/2.73  
% 2.52/2.73  Stopped by limit on insertions
% 2.52/2.73  
% 2.52/2.73  Model 12 [ 1 1 639 ] (0.00 seconds, 250000 Inserts)
% 2.52/2.73  
% 2.52/2.73  Stopped by limit on insertions
% 2.52/2.73  
% 2.52/2.73  Model 13 [ 11 2 231 ] (0.00 seconds, 250000 Inserts)
% 2.52/2.73  
% 2.52/2.73  Stopped by limit on insertions
% 2.52/2.73  
% 2.52/2.73  Model 14 [ 1 1 324 ] (0.00 seconds, 250000 Inserts)
% 2.52/2.73  
% 2.52/2.73  ----> UNIT CONFLICT at   2.35 sec ----> 900 [binary,899.1,26.1] {-} $F.
% 2.52/2.73  
% 2.52/2.73  Length of proof is 2.  Level of proof is 2.
% 2.52/2.73  
% 2.52/2.73  ---------------- PROOF ----------------
% 2.52/2.73  % SZS status Unsatisfiable
% 2.52/2.73  % SZS output start Refutation
% 2.52/2.73  
% 2.52/2.73  9 [] {+} product(multiplicative_inverse(A),A,multiplicative_identity)|sum(additive_identity,A,additive_identity)| -defined(A).
% 2.52/2.73  10 [] {+} product(A,B,C)| -product(B,A,C).
% 2.52/2.73  25 [] {+} -sum(additive_identity,multiplicative_identity,additive_identity).
% 2.52/2.73  26 [] {+} -product(multiplicative_identity,multiplicative_inverse(multiplicative_identity),multiplicative_identity).
% 2.52/2.73  51 [] {-} defined(multiplicative_identity).
% 2.52/2.73  79 [hyper,51,9,unit_del,25] {-} product(multiplicative_inverse(multiplicative_identity),multiplicative_identity,multiplicative_identity).
% 2.52/2.73  899 [hyper,79,10] {-} product(multiplicative_identity,multiplicative_inverse(multiplicative_identity),multiplicative_identity).
% 2.52/2.73  900 [binary,899.1,26.1] {-} $F.
% 2.52/2.73  
% 2.52/2.73  % SZS output end Refutation
% 2.52/2.73  ------------ end of proof -------------
% 2.52/2.73  
% 2.52/2.73  
% 2.52/2.73  Search stopped by max_proofs option.
% 2.52/2.73  
% 2.52/2.73  
% 2.52/2.73  Search stopped by max_proofs option.
% 2.52/2.73  
% 2.52/2.73  ============ end of search ============
% 2.52/2.73  
% 2.52/2.73  ----------- soft-scott stats ----------
% 2.52/2.73  
% 2.52/2.73  true clauses given           5      (25.0%)
% 2.52/2.73  false clauses given         15
% 2.52/2.73  
% 2.52/2.73        FALSE     TRUE
% 2.52/2.73     4  0         6
% 2.52/2.73     5  1         37
% 2.52/2.73     6  5         90
% 2.52/2.73     7  0         107
% 2.52/2.73     8  9         165
% 2.52/2.73     9  0         11
% 2.52/2.73    10  24        76
% 2.52/2.73    11  0         8
% 2.52/2.73    12  0         123
% 2.52/2.73    14  0         156
% 2.52/2.73    15  0         8
% 2.52/2.73  tot:  39        787      (95.3% true)
% 2.52/2.73  
% 2.52/2.73  
% 2.52/2.73  Model 14 [ 1 -23 324 ] (0.00 seconds, 250000 Inserts)
% 2.52/2.73  
% 2.52/2.73  That finishes the proof of the theorem.
% 2.52/2.73  
% 2.52/2.73  Process 19789 finished Tue Jun  7 01:48:23 2022
%------------------------------------------------------------------------------