TSTP Solution File: LCL385-1 by SOS---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SOS---2.0
% Problem  : LCL385-1 : TPTP v8.1.0. Released v2.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : sos-script %s

% Computer : n003.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 : Sun Jul 17 14:29:50 EDT 2022

% Result   : Unsatisfiable 37.03s 37.23s
% Output   : Refutation 37.03s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : LCL385-1 : TPTP v8.1.0. Released v2.3.0.
% 0.07/0.13  % Command  : sos-script %s
% 0.12/0.33  % Computer : n003.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 : Mon Jul  4 00:01:09 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 n003.cluster.edu,
% 0.12/0.35  Mon Jul  4 00:01:09 2022
% 0.12/0.35  The command was "./sos".  The process ID is 9552.
% 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=1, equality=0, symmetry=0, max_lits=3.
% 0.12/0.35  
% 0.12/0.35  This is a Horn set without equality.  The strategy will
% 0.12/0.35  be hyperresolution, with satellites in sos and nuclei
% 0.12/0.35  in usable.
% 0.12/0.35  
% 0.12/0.35     dependent: set(hyper_res).
% 0.12/0.35     dependent: clear(order_hyper).
% 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 =======
% 0.12/0.37  
% 0.12/0.37  Model 1 (0.00 seconds, 0 Inserts)
% 0.12/0.37  
% 0.12/0.37  Stopped by limit on number of solutions
% 0.12/0.37  
% 0.12/0.37  
% 0.12/0.37  -------------- Softie stats --------------
% 0.12/0.37  
% 0.12/0.37  UPDATE_STOP: 300
% 0.12/0.37  SFINDER_TIME_LIMIT: 2
% 0.12/0.37  SHORT_CLAUSE_CUTOFF: 4
% 0.12/0.37  number of clauses in intial UL: 2
% 0.12/0.37  number of clauses initially in problem: 5
% 0.12/0.37  percentage of clauses intially in UL: 40
% 0.12/0.37  percentage of distinct symbols occuring in initial UL: 100
% 0.12/0.37  percent of all initial clauses that are short: 100
% 0.12/0.37  absolute distinct symbol count: 5
% 0.12/0.37     distinct predicate count: 1
% 0.12/0.37     distinct function count: 2
% 0.12/0.37     distinct constant count: 2
% 0.12/0.37  
% 0.12/0.37  ---------- no more Softie stats ----------
% 0.12/0.37  
% 0.12/0.37  
% 0.12/0.37  
% 0.12/0.37  =========== start of search ===========
% 6.83/7.00  
% 6.83/7.00  
% 6.83/7.00  Changing weight limit from 60 to 43.
% 6.83/7.00  
% 6.83/7.00  Model 2 (0.00 seconds, 0 Inserts)
% 6.83/7.00  
% 6.83/7.00  Stopped by limit on number of solutions
% 6.83/7.00  
% 6.83/7.00  Model 3 (0.00 seconds, 0 Inserts)
% 6.83/7.00  
% 6.83/7.00  Stopped by limit on number of solutions
% 6.83/7.00  
% 6.83/7.00  Model 4 (0.00 seconds, 0 Inserts)
% 6.83/7.00  
% 6.83/7.00  Stopped by limit on number of solutions
% 6.83/7.00  
% 6.83/7.00  Stopped by limit on insertions
% 6.83/7.00  
% 6.83/7.00  Resetting weight limit to 43 after 150 givens.
% 6.83/7.00  
% 36.53/36.74  
% 36.53/36.74  
% 36.53/36.74  Changing weight limit from 43 to 27.
% 36.53/36.74  
% 36.53/36.74  Stopped by limit on insertions
% 36.53/36.74  
% 36.53/36.74  Model 5 [ 1 0 54 ] (0.00 seconds, 250000 Inserts)
% 36.53/36.74  
% 36.53/36.74  Stopped by limit on insertions
% 36.53/36.74  
% 36.53/36.74  Model 6 [ 1 0 143 ] (0.00 seconds, 250000 Inserts)
% 36.53/36.74  
% 36.53/36.74  Stopped by limit on insertions
% 36.53/36.74  
% 36.53/36.74  Stopped by limit on insertions
% 36.53/36.74  
% 36.53/36.74  Model 7 [ 1 0 37 ] (0.00 seconds, 250000 Inserts)
% 36.53/36.74  
% 36.53/36.74  Stopped by limit on insertions
% 36.53/36.74  
% 36.53/36.74  Resetting weight limit to 27 after 280 givens.
% 36.53/36.74  
% 36.60/36.79  
% 36.60/36.79  
% 36.60/36.79  Changing weight limit from 27 to 25.
% 36.60/36.79  
% 36.60/36.79  Resetting weight limit to 25 after 285 givens.
% 36.60/36.79  
% 36.60/36.85  
% 36.60/36.85  
% 36.60/36.85  Changing weight limit from 25 to 23.
% 36.60/36.85  
% 36.60/36.85  Resetting weight limit to 23 after 290 givens.
% 36.60/36.85  
% 36.70/36.90  
% 36.70/36.90  
% 36.70/36.90  Changing weight limit from 23 to 22.
% 36.70/36.90  
% 36.70/36.90  Resetting weight limit to 22 after 300 givens.
% 36.70/36.90  
% 36.79/36.95  
% 36.79/36.95  
% 36.79/36.95  Changing weight limit from 22 to 21.
% 36.79/36.95  
% 36.79/36.95  Resetting weight limit to 21 after 310 givens.
% 36.79/36.95  
% 36.89/37.07  
% 36.89/37.07  
% 36.89/37.07  Changing weight limit from 21 to 20.
% 36.89/37.07  
% 36.89/37.07  Resetting weight limit to 20 after 320 givens.
% 36.89/37.07  
% 36.99/37.19  
% 36.99/37.19  
% 36.99/37.19  Changing weight limit from 20 to 19.
% 36.99/37.19  
% 36.99/37.19  Resetting weight limit to 19 after 340 givens.
% 36.99/37.19  
% 37.03/37.23  
% 37.03/37.23  -- HEY sandbox, WE HAVE A PROOF!! -- 
% 37.03/37.23  
% 37.03/37.23  ----> UNIT CONFLICT at  36.83 sec ----> 12736 [binary,12735.1,2.1] {+} $F.
% 37.03/37.23  
% 37.03/37.23  Length of proof is 34.  Level of proof is 22.
% 37.03/37.23  
% 37.03/37.23  ---------------- PROOF ----------------
% 37.03/37.23  % SZS status Unsatisfiable
% 37.03/37.23  % SZS output start Refutation
% 37.03/37.23  
% 37.03/37.23  1 [] {+} -is_a_theorem(implies(A,B))| -is_a_theorem(A)|is_a_theorem(B).
% 37.03/37.23  2 [] {+} -is_a_theorem(implies(implies(x,not(y)),implies(y,not(x)))).
% 37.03/37.23  3 [] {-} is_a_theorem(implies(implies(A,B),implies(implies(B,C),implies(A,C)))).
% 37.03/37.23  4 [] {+} is_a_theorem(implies(implies(not(A),A),A)).
% 37.03/37.23  5 [] {+} is_a_theorem(implies(A,implies(not(A),B))).
% 37.03/37.23  6 [hyper,3,1,3] {-} is_a_theorem(implies(implies(implies(implies(A,B),implies(C,B)),D),implies(implies(C,A),D))).
% 37.03/37.23  7 [hyper,4,1,3] {-} is_a_theorem(implies(implies(A,B),implies(implies(not(A),A),B))).
% 37.03/37.23  9 [hyper,5,1,3] {-} is_a_theorem(implies(implies(implies(not(A),B),C),implies(A,C))).
% 37.03/37.23  12 [hyper,7,1,7] {+} is_a_theorem(implies(implies(not(implies(A,B)),implies(A,B)),implies(implies(not(A),A),B))).
% 37.03/37.23  21 [hyper,6,1,7] {-} is_a_theorem(implies(implies(not(implies(implies(implies(A,B),implies(C,B)),D)),implies(implies(implies(A,B),implies(C,B)),D)),implies(implies(C,A),D))).
% 37.03/37.23  22 [hyper,6,1,6] {-} is_a_theorem(implies(implies(A,implies(B,C)),implies(implies(D,B),implies(A,implies(D,C))))).
% 37.03/37.23  29 [hyper,9,1,6] {-} is_a_theorem(implies(implies(A,not(B)),implies(B,implies(A,C)))).
% 37.03/37.23  34 [hyper,9,1,4] {+} is_a_theorem(implies(A,A)).
% 37.03/37.23  40 [hyper,29,1,9] {+} is_a_theorem(implies(A,implies(B,implies(not(A),C)))).
% 37.03/37.23  43 [hyper,29,1,3] {-} is_a_theorem(implies(implies(implies(A,implies(B,C)),D),implies(implies(B,not(A)),D))).
% 37.03/37.23  57 [hyper,40,1,3] {-} is_a_theorem(implies(implies(implies(A,implies(not(B),C)),D),implies(B,D))).
% 37.03/37.23  73 [hyper,57,1,3] {-} is_a_theorem(implies(A,implies(implies(implies(not(A),B),C),implies(D,C)))).
% 37.03/37.23  85 [hyper,73,1,34] {-} is_a_theorem(implies(implies(implies(not(implies(A,A)),B),C),implies(D,C))).
% 37.03/37.23  113 [hyper,85,1,4] {+} is_a_theorem(implies(A,implies(B,B))).
% 37.03/37.23  138 [hyper,12,1,85] {+} is_a_theorem(implies(A,implies(implies(not(B),B),B))).
% 37.03/37.23  183 [hyper,113,1,3] {-} is_a_theorem(implies(implies(implies(A,A),B),implies(C,B))).
% 37.03/37.23  195 [hyper,183,1,3] {-} is_a_theorem(implies(implies(implies(A,B),C),implies(implies(implies(D,D),B),C))).
% 37.03/37.23  249 [hyper,138,1,3] {-} is_a_theorem(implies(implies(implies(implies(not(A),A),A),B),implies(C,B))).
% 37.03/37.23  557 [hyper,195,1,249] {-} is_a_theorem(implies(A,implies(implies(implies(B,B),C),C))).
% 37.03/37.23  809 [hyper,22,1,557] {-} is_a_theorem(implies(implies(A,implies(implies(B,B),C)),implies(D,implies(A,C)))).
% 37.03/37.23  3422 [hyper,809,1,249] {-} is_a_theorem(implies(A,implies(implies(implies(implies(not(B),B),B),C),C))).
% 37.03/37.23  3617 [hyper,3422,1,21] {+} is_a_theorem(implies(implies(A,implies(not(B),B)),implies(A,B))).
% 37.03/37.23  4041 [hyper,3617,1,57] {+} is_a_theorem(implies(A,implies(B,A))).
% 37.03/37.23  4044 [hyper,3617,1,43] {-} is_a_theorem(implies(implies(not(A),not(B)),implies(B,A))).
% 37.03/37.23  4056 [hyper,3617,1,6] {-} is_a_theorem(implies(implies(not(A),B),implies(implies(B,A),A))).
% 37.03/37.23  4074 [hyper,4044,1,3617] {-} is_a_theorem(implies(implies(not(A),not(not(A))),A)).
% 37.03/37.23  4136 [hyper,4074,1,195] {-} is_a_theorem(implies(implies(implies(A,A),not(not(B))),B)).
% 37.03/37.23  4174 [hyper,4041,1,3] {-} is_a_theorem(implies(implies(implies(A,B),C),implies(B,C))).
% 37.03/37.23  4238 [hyper,4174,1,4136] {+} is_a_theorem(implies(not(not(A)),A)).
% 37.03/37.23  5008 [hyper,4056,1,4238] {-} is_a_theorem(implies(implies(A,not(A)),not(A))).
% 37.03/37.23  5054 [hyper,5008,1,4041] {-} is_a_theorem(implies(A,implies(implies(B,not(B)),not(B)))).
% 37.03/37.23  5189 [hyper,5054,1,4056] {-} is_a_theorem(implies(implies(implies(implies(A,not(A)),not(A)),B),B)).
% 37.03/37.23  10510 [hyper,5189,1,6] {-} is_a_theorem(implies(implies(A,implies(B,not(B))),implies(A,not(B)))).
% 37.03/37.23  12735 [hyper,10510,1,43] {-} is_a_theorem(implies(implies(A,not(B)),implies(B,not(A)))).
% 37.03/37.23  12736 [binary,12735.1,2.1] {+} $F.
% 37.03/37.23  
% 37.03/37.23  % SZS output end Refutation
% 37.03/37.23  ------------ end of proof -------------
% 37.03/37.23  
% 37.03/37.23  
% 37.03/37.23  Search stopped by max_proofs option.
% 37.03/37.23  
% 37.03/37.23  
% 37.03/37.23  Search stopped by max_proofs option.
% 37.03/37.23  
% 37.03/37.23  ============ end of search ============
% 37.03/37.23  
% 37.03/37.23  ----------- soft-scott stats ----------
% 37.03/37.23  
% 37.03/37.23  true clauses given         112      (32.0%)
% 37.03/37.23  false clauses given        238
% 37.03/37.23  
% 37.03/37.23        FALSE     TRUE
% 37.03/37.23     9  0         3
% 37.03/37.23    10  0         65
% 37.03/37.23    11  0         81
% 37.03/37.23    12  26        205
% 37.03/37.23    13  145       315
% 37.03/37.23    14  238       331
% 37.03/37.23    15  444       474
% 37.03/37.23    16  574       572
% 37.03/37.23    17  433       454
% 37.03/37.23    18  404       0
% 37.03/37.23    19  236       0
% 37.03/37.23  tot:  2500      2500      (50.0% true)
% 37.03/37.23  
% 37.03/37.23  
% 37.03/37.23  Model 7 [ 1 -567 37 ] (0.00 seconds, 250000 Inserts)
% 37.03/37.23  
% 37.03/37.23  That finishes the proof of the theorem.
% 37.03/37.23  
% 37.03/37.23  Process 9552 finished Mon Jul  4 00:01:46 2022
%------------------------------------------------------------------------------