TSTP Solution File: FLD031-3 by SOS---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SOS---2.0
% Problem  : FLD031-3 : TPTP v8.1.0. Bugfixed v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : sos-script %s

% Computer : n027.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 02:27:43 EDT 2022

% Result   : Unsatisfiable 12.09s 12.27s
% Output   : Refutation 12.09s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.15  % Problem  : FLD031-3 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.09/0.16  % Command  : sos-script %s
% 0.15/0.38  % Computer : n027.cluster.edu
% 0.15/0.38  % Model    : x86_64 x86_64
% 0.15/0.38  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.38  % Memory   : 8042.1875MB
% 0.15/0.38  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.38  % CPULimit : 300
% 0.15/0.38  % WCLimit  : 600
% 0.15/0.38  % DateTime : Mon Jun  6 12:17:09 EDT 2022
% 0.15/0.38  % CPUTime  : 
% 0.15/0.40  ----- Otter 3.2, August 2001 -----
% 0.15/0.40  The process was started by sandbox2 on n027.cluster.edu,
% 0.15/0.40  Mon Jun  6 12:17:09 2022
% 0.15/0.40  The command was "./sos".  The process ID is 532.
% 0.15/0.40  
% 0.15/0.40  set(prolog_style_variables).
% 0.15/0.40  set(auto).
% 0.15/0.40     dependent: set(auto1).
% 0.15/0.40     dependent: set(process_input).
% 0.15/0.40     dependent: clear(print_kept).
% 0.15/0.40     dependent: clear(print_new_demod).
% 0.15/0.40     dependent: clear(print_back_demod).
% 0.15/0.40     dependent: clear(print_back_sub).
% 0.15/0.40     dependent: set(control_memory).
% 0.15/0.40     dependent: assign(max_mem, 12000).
% 0.15/0.40     dependent: assign(pick_given_ratio, 4).
% 0.15/0.40     dependent: assign(stats_level, 1).
% 0.15/0.40     dependent: assign(pick_semantic_ratio, 3).
% 0.15/0.40     dependent: assign(sos_limit, 5000).
% 0.15/0.40     dependent: assign(max_weight, 60).
% 0.15/0.40  clear(print_given).
% 0.15/0.40  
% 0.15/0.40  list(usable).
% 0.15/0.40  
% 0.15/0.40  SCAN INPUT: prop=0, horn=0, equality=0, symmetry=0, max_lits=5.
% 0.15/0.40  
% 0.15/0.40  This is a non-Horn set without equality.  The strategy
% 0.15/0.40  will be ordered hyper_res, ur_res, unit deletion, and
% 0.15/0.40  factoring, with satellites in sos and nuclei in usable.
% 0.15/0.40  
% 0.15/0.40     dependent: set(hyper_res).
% 0.15/0.40     dependent: set(factor).
% 0.15/0.40     dependent: set(unit_deletion).
% 0.15/0.40  
% 0.15/0.40  ------------> process usable:
% 0.15/0.40  
% 0.15/0.40  ------------> process sos:
% 0.15/0.40  
% 0.15/0.40  ======= end of input processing =======
% 0.24/0.48  
% 0.24/0.48  Model 1 (0.00 seconds, 0 Inserts)
% 0.24/0.48  
% 0.24/0.48  Stopped by limit on number of solutions
% 0.24/0.48  
% 0.24/0.48  
% 0.24/0.48  -------------- Softie stats --------------
% 0.24/0.48  
% 0.24/0.48  UPDATE_STOP: 300
% 0.24/0.48  SFINDER_TIME_LIMIT: 2
% 0.24/0.48  SHORT_CLAUSE_CUTOFF: 4
% 0.24/0.48  number of clauses in intial UL: 49
% 0.24/0.48  number of clauses initially in problem: 53
% 0.24/0.48  percentage of clauses intially in UL: 92
% 0.24/0.48  percentage of distinct symbols occuring in initial UL: 100
% 0.24/0.48  percent of all initial clauses that are short: 100
% 0.24/0.48  absolute distinct symbol count: 11
% 0.24/0.48     distinct predicate count: 4
% 0.24/0.48     distinct function count: 4
% 0.24/0.48     distinct constant count: 3
% 0.24/0.48  
% 0.24/0.48  ---------- no more Softie stats ----------
% 0.24/0.48  
% 0.24/0.48  
% 0.24/0.48  
% 0.24/0.48  Model 2 (0.00 seconds, 0 Inserts)
% 0.24/0.48  
% 0.24/0.48  Stopped by limit on number of solutions
% 0.24/0.48  
% 0.24/0.48  =========== start of search ===========
% 7.21/7.38  
% 7.21/7.38  
% 7.21/7.38  Changing weight limit from 60 to 14.
% 7.21/7.38  
% 7.21/7.38  Stopped by limit on insertions
% 7.21/7.38  
% 7.21/7.38  Model 3 [ 2 2 553 ] (0.00 seconds, 250000 Inserts)
% 7.21/7.38  
% 7.21/7.38  Stopped by limit on insertions
% 7.21/7.38  
% 7.21/7.38  Model 4 [ 3 2 125 ] (0.00 seconds, 250000 Inserts)
% 7.21/7.38  
% 7.21/7.38  Stopped by limit on insertions
% 7.21/7.38  
% 7.21/7.38  Model 5 [ 5 1 112 ] (0.00 seconds, 250000 Inserts)
% 7.21/7.38  
% 7.21/7.38  Stopped by limit on insertions
% 7.21/7.38  
% 7.21/7.38  Model 6 [ 2 1 442 ] (0.00 seconds, 250000 Inserts)
% 7.21/7.38  
% 7.21/7.38  Stopped by limit on insertions
% 7.21/7.38  
% 7.21/7.38  Model 7 [ 3 2 331 ] (0.00 seconds, 250000 Inserts)
% 7.21/7.38  
% 7.21/7.38  Stopped by limit on insertions
% 7.21/7.38  
% 7.21/7.38  Model 8 [ 3 1 536 ] (0.00 seconds, 250000 Inserts)
% 7.21/7.38  
% 7.21/7.38  Stopped by limit on insertions
% 7.21/7.38  
% 7.21/7.38  Model 9 [ 3 1 300 ] (0.00 seconds, 250000 Inserts)
% 7.21/7.38  
% 7.21/7.38  Stopped by limit on insertions
% 7.21/7.38  
% 7.21/7.38  Model 10 [ 2 1 350 ] (0.00 seconds, 250000 Inserts)
% 7.21/7.38  
% 7.21/7.38  Stopped by limit on insertions
% 7.21/7.38  
% 7.21/7.38  Model 11 [ 2 1 223 ] (0.00 seconds, 250000 Inserts)
% 7.21/7.38  
% 7.21/7.38  Stopped by limit on insertions
% 7.21/7.38  
% 7.21/7.38  Stopped by limit on insertions
% 7.21/7.38  
% 7.21/7.38  Model 12 [ 6 2 129 ] (0.00 seconds, 250000 Inserts)
% 7.21/7.38  
% 7.21/7.38  Stopped by limit on insertions
% 7.21/7.38  
% 7.21/7.38  Model 13 [ 2 1 204 ] (0.00 seconds, 250000 Inserts)
% 7.21/7.38  
% 7.21/7.38  Stopped by limit on insertions
% 7.21/7.38  
% 7.21/7.38  Model 14 [ 4 1 417 ] (0.00 seconds, 250000 Inserts)
% 7.21/7.38  
% 7.21/7.38  Stopped by limit on insertions
% 7.21/7.38  
% 7.21/7.38  Model 15 [ 6 1 145 ] (0.00 seconds, 250000 Inserts)
% 7.21/7.38  
% 7.21/7.38  Stopped by limit on insertions
% 7.21/7.38  
% 7.21/7.38  Model 16 [ 16 1 178 ] (0.00 seconds, 250000 Inserts)
% 7.21/7.38  
% 7.21/7.38  Stopped by limit on insertions
% 7.21/7.38  
% 7.21/7.38  Model 17 [ 5 2 26696 ] (0.00 seconds, 250000 Inserts)
% 7.21/7.38  
% 7.21/7.38  Stopped by limit on insertions
% 7.21/7.38  
% 7.21/7.38  Model 18 [ 17 1 182 ] (0.00 seconds, 250000 Inserts)
% 7.21/7.38  
% 7.21/7.38  Stopped by limit on insertions
% 7.21/7.38  
% 7.21/7.38  Model 19 [ 5 1 121 ] (0.00 seconds, 250000 Inserts)
% 7.21/7.38  
% 7.21/7.38  Stopped by limit on insertions
% 7.21/7.38  
% 7.21/7.38  Model 20 [ 17 1 259 ] (0.00 seconds, 250000 Inserts)
% 7.21/7.38  
% 7.21/7.38  Stopped by limit on insertions
% 7.21/7.38  
% 7.21/7.38  Model 21 [ 3 1 271 ] (0.00 seconds, 250000 Inserts)
% 7.21/7.38  
% 7.21/7.38  Stopped by limit on insertions
% 7.21/7.38  
% 7.21/7.38  Model 22 [ 21 1 473 ] (0.00 seconds, 250000 Inserts)
% 7.21/7.38  
% 7.21/7.38  Stopped by limit on insertions
% 7.21/7.38  
% 7.21/7.38  Model 23 [ 23 1 270 ] (0.00 seconds, 250000 Inserts)
% 7.21/7.38  
% 7.21/7.38  Stopped by limit on insertions
% 7.21/7.38  
% 7.21/7.38  Model 24 [ 10 2 132 ] (0.00 seconds, 250000 Inserts)
% 7.21/7.38  
% 7.21/7.38  Stopped by limit on insertions
% 7.21/7.38  
% 7.21/7.38  Model 25 [ 7 1 358 ] (0.00 seconds, 250000 Inserts)
% 7.21/7.38  
% 7.21/7.38  Stopped by limit on insertions
% 7.21/7.38  
% 7.21/7.38  Model 26 [ 22 1 162 ] (0.00 seconds, 250000 Inserts)
% 7.21/7.38  
% 7.21/7.38  Stopped by limit on insertions
% 7.21/7.38  
% 7.21/7.38  Stopped by limit on insertions
% 7.21/7.38  
% 7.21/7.38  Model 27 [ 9 11 206562 ] (0.00 seconds, 250000 Inserts)
% 7.21/7.38  
% 7.21/7.38  Stopped by limit on insertions
% 7.21/7.38  
% 7.21/7.38  Model 28 [ 9 10 75354 ] (0.00 seconds, 250000 Inserts)
% 7.21/7.38  
% 7.21/7.38  Stopped by limit on insertions
% 7.21/7.38  
% 7.21/7.38  Model 29 [ 5 1 240 ] (0.00 seconds, 250000 Inserts)
% 7.21/7.38  
% 7.21/7.38  Stopped by limit on insertions
% 7.21/7.38  
% 7.21/7.38  Model 30 [ 6 2 105 ] (0.00 seconds, 250000 Inserts)
% 7.21/7.38  
% 7.21/7.38  Stopped by limit on insertions
% 7.21/7.38  
% 7.21/7.38  Model 31 [ 25 2 261 ] (0.00 seconds, 250000 Inserts)
% 7.21/7.38  
% 7.21/7.38  Stopped by limit on insertions
% 7.21/7.38  
% 7.21/7.38  Model 32 [ 9 15 217629 ] (0.00 seconds, 250000 Inserts)
% 7.21/7.38  
% 7.21/7.38  Stopped by limit on insertions
% 7.21/7.38  
% 7.21/7.38  Model 33 [ 15 2 643 ] (0.00 seconds, 250000 Inserts)
% 7.21/7.38  
% 7.21/7.38  Stopped by limit on insertions
% 7.21/7.38  
% 7.21/7.38  Model 34 [ 6 1 383 ] (0.00 seconds, 250000 Inserts)
% 7.21/7.38  
% 7.21/7.38  Stopped by limit on insertions
% 7.21/7.38  
% 7.21/7.38  Model 35 [ 34 2 844 ] (0.00 seconds, 250000 Inserts)
% 7.21/7.38  
% 7.21/7.38  Stopped by limit on insertions
% 7.21/7.38  
% 7.21/7.38  Model 36 [ 12 1 408 ] (0.00 seconds, 250000 Inserts)
% 7.21/7.38  
% 7.21/7.38  Stopped by limit on insertions
% 7.21/7.38  
% 7.21/7.38  Model 37 [ 11 1 102 ] (0.00 seconds, 250000 Inserts)
% 7.21/7.38  
% 7.21/7.38  Stopped by limit on insertions
% 7.21/7.38  
% 7.21/7.38  Model 38 [ 37 2 142 ] (0.00 seconds, 250000 Inserts)
% 7.21/7.38  
% 7.21/7.38  Stopped by limit on insertions
% 7.21/7.38  
% 7.21/7.38  Model 39 [ 35 2 228 ] (0.00 seconds, 250000 Inserts)
% 7.21/7.38  
% 7.21/7.38  Stopped by limit on insertions
% 7.21/7.38  
% 7.21/7.38  Model 40 [ 7 2 176 ] (0.00 seconds, 250000 Inserts)
% 7.21/7.38  
% 7.21/7.38  Stopped by limit on insertions
% 7.21/7.38  
% 7.21/7.38  Model 41 [ 12 1 763 ] (0.00 seconds, 250000 Inserts)
% 7.21/7.38  
% 7.21/7.38  Stopped by limit on insertions
% 7.21/7.38  
% 7.21/7.38  Model 42 [ 12 1 240 ] (0.00 seconds, 250000 Inserts)
% 7.21/7.38  
% 7.21/7.38  Stopped by limit on insertions
% 7.21/7.38  
% 7.21/7.38  Model 43 [ 8 6 32963 ] (0.00 seconds, 250000 Inserts)
% 7.21/7.38  
% 7.21/7.38  Resetting weight limit to 14 after 55 givens.
% 7.21/7.38  
% 9.20/9.42  
% 9.20/9.42  
% 9.20/9.42  Changing weight limit from 14 to 15.
% 9.20/9.42  
% 9.20/9.42  Stopped by limit on insertions
% 9.20/9.42  
% 9.20/9.42  Model 44 [ 42 1 186 ] (0.00 seconds, 250000 Inserts)
% 9.20/9.42  
% 9.20/9.42  Stopped by limit on insertions
% 9.20/9.42  
% 9.20/9.42  Model 45 [ 22 4 24486 ] (0.00 seconds, 250000 Inserts)
% 9.20/9.42  
% 9.20/9.42  Stopped by limit on insertions
% 9.20/9.42  
% 9.20/9.42  Model 46 [ 16 2 426 ] (0.00 seconds, 250000 Inserts)
% 9.20/9.42  
% 9.20/9.42  Stopped by limit on insertions
% 9.20/9.42  
% 9.20/9.42  Model 47 [ 9 1 145 ] (0.00 seconds, 250000 Inserts)
% 9.20/9.42  
% 9.20/9.42  Stopped by limit on insertions
% 9.20/9.42  
% 9.20/9.42  Model 48 [ 20 21 133099 ] (0.00 seconds, 250000 Inserts)
% 9.20/9.42  
% 9.20/9.42  Resetting weight limit to 15 after 60 givens.
% 9.20/9.42  
% 9.73/9.92  
% 9.73/9.92  
% 9.73/9.92  Changing weight limit from 15 to 14.
% 9.73/9.92  
% 9.73/9.92  Stopped by limit on insertions
% 9.73/9.92  
% 9.73/9.92  Model 49 [ 21 39 242837 ] (0.00 seconds, 250000 Inserts)
% 9.73/9.92  
% 9.73/9.92  Resetting weight limit to 14 after 65 givens.
% 9.73/9.92  
% 11.81/11.99  
% 11.81/11.99  
% 11.81/11.99  Changing weight limit from 14 to 12.
% 11.81/11.99  
% 11.81/11.99  Stopped by limit on insertions
% 11.81/11.99  
% 11.81/11.99  Model 50 [ 18 1 921 ] (0.00 seconds, 250000 Inserts)
% 11.81/11.99  
% 11.81/11.99  Stopped by limit on insertions
% 11.81/11.99  
% 11.81/11.99  Model 51 [ 48 1 199 ] (0.00 seconds, 250000 Inserts)
% 11.81/11.99  
% 11.81/11.99  Stopped by limit on insertions
% 11.81/11.99  
% 11.81/11.99  Model 52 [ 33 1 290 ] (0.00 seconds, 250000 Inserts)
% 11.81/11.99  
% 11.81/11.99  Stopped by limit on insertions
% 11.81/11.99  
% 11.81/11.99  Model 53 [ 42 1 142 ] (0.00 seconds, 250000 Inserts)
% 11.81/11.99  
% 11.81/11.99  Stopped by limit on insertions
% 11.81/11.99  
% 11.81/11.99  Model 54 [ 49 1 147 ] (0.00 seconds, 250000 Inserts)
% 11.81/11.99  
% 11.81/11.99  Stopped by limit on insertions
% 11.81/11.99  
% 11.81/11.99  Model 55 [ 44 2 1242 ] (0.00 seconds, 250000 Inserts)
% 11.81/11.99  
% 11.81/11.99  Stopped by limit on insertions
% 11.81/11.99  
% 11.81/11.99  Model 56 [ 8 2 302 ] (0.00 seconds, 250000 Inserts)
% 11.81/11.99  
% 11.81/11.99  Resetting weight limit to 12 after 75 givens.
% 11.81/11.99  
% 12.09/12.27  
% 12.09/12.27  -- HEY sandbox2, WE HAVE A PROOF!! -- 
% 12.09/12.27  
% 12.09/12.27  Stopped by limit on insertions
% 12.09/12.27  
% 12.09/12.27  Model 57 [ 11 2 155 ] (0.00 seconds, 250000 Inserts)
% 12.09/12.27  
% 12.09/12.27  Stopped by limit on insertions
% 12.09/12.27  
% 12.09/12.27  ----> UNIT CONFLICT at  11.81 sec ----> 5296 [binary,5295.1,26.1] {+} $F.
% 12.09/12.27  
% 12.09/12.27  Length of proof is 6.  Level of proof is 3.
% 12.09/12.27  
% 12.09/12.27  ---------------- PROOF ----------------
% 12.09/12.27  % SZS status Unsatisfiable
% 12.09/12.27  % SZS output start Refutation
% 12.09/12.27  
% 12.09/12.27  6 [] {+} product(A,B,C)| -product(A,D,E)| -product(D,F,B)| -product(E,F,C).
% 12.09/12.27  7 [] {+} product(A,B,C)| -product(D,E,A)| -product(E,B,F)| -product(D,F,C).
% 12.09/12.27  8 [] {+} product(multiplicative_identity,A,A)| -defined(A).
% 12.09/12.27  9 [] {+} product(multiplicative_inverse(A),A,multiplicative_identity)|sum(additive_identity,A,additive_identity)| -defined(A).
% 12.09/12.27  10 [] {+} product(A,B,C)| -product(B,A,C).
% 12.09/12.27  25 [] {+} -sum(additive_identity,a,additive_identity).
% 12.09/12.27  26 [] {+} -product(multiplicative_identity,multiplicative_inverse(a),multiplicative_identity).
% 12.09/12.27  52 [] {-} defined(a).
% 12.09/12.27  53 [] {+} product(multiplicative_identity,a,multiplicative_identity).
% 12.09/12.27  110 [hyper,52,9,unit_del,25] {+} product(multiplicative_inverse(a),a,multiplicative_identity).
% 12.09/12.27  111 [hyper,52,8] {+} product(multiplicative_identity,a,a).
% 12.09/12.27  114 [hyper,53,10] {+} product(a,multiplicative_identity,multiplicative_identity).
% 12.09/12.27  1329 [hyper,110,10] {-} product(a,multiplicative_inverse(a),multiplicative_identity).
% 12.09/12.27  1502 [hyper,114,6,111,53] {+} product(a,a,multiplicative_identity).
% 12.09/12.27  5295 [hyper,1329,7,1502,114] {-} product(multiplicative_identity,multiplicative_inverse(a),multiplicative_identity).
% 12.09/12.27  5296 [binary,5295.1,26.1] {+} $F.
% 12.09/12.27  
% 12.09/12.27  % SZS output end Refutation
% 12.09/12.27  ------------ end of proof -------------
% 12.09/12.27  
% 12.09/12.27  
% 12.09/12.27  Search stopped by max_proofs option.
% 12.09/12.27  
% 12.09/12.27  
% 12.09/12.27  Search stopped by max_proofs option.
% 12.09/12.27  
% 12.09/12.27  ============ end of search ============
% 12.09/12.27  
% 12.09/12.27  ----------- soft-scott stats ----------
% 12.09/12.27  
% 12.09/12.27  true clauses given          13      (16.7%)
% 12.09/12.27  false clauses given         65
% 12.09/12.27  
% 12.09/12.27        FALSE     TRUE
% 12.09/12.27     4  0         2
% 12.09/12.27     5  10        77
% 12.09/12.27     6  50        382
% 12.09/12.27     7  14        443
% 12.09/12.27     8  39        1179
% 12.09/12.27     9  4         442
% 12.09/12.27    10  79        0
% 12.09/12.27    12  6         0
% 12.09/12.27  tot:  202       2525      (92.6% true)
% 12.09/12.27  
% 12.09/12.27  
% 12.09/12.27  Model 57 [ 11 -10 155 ] (0.00 seconds, 250000 Inserts)
% 12.09/12.27  
% 12.09/12.27  That finishes the proof of the theorem.
% 12.09/12.27  
% 12.09/12.27  Process 532 finished Mon Jun  6 12:17:21 2022
%------------------------------------------------------------------------------