TSTP Solution File: LCL388-1 by SOS---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SOS---2.0
% Problem  : LCL388-1 : TPTP v8.1.0. Released v2.3.0.
% 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 : Sun Jul 17 14:29:51 EDT 2022

% Result   : Unsatisfiable 29.64s 29.84s
% Output   : Refutation 29.64s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11  % Problem  : LCL388-1 : TPTP v8.1.0. Released v2.3.0.
% 0.00/0.12  % Command  : sos-script %s
% 0.13/0.31  % Computer : n027.cluster.edu
% 0.13/0.31  % Model    : x86_64 x86_64
% 0.13/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.31  % Memory   : 8042.1875MB
% 0.13/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.31  % CPULimit : 300
% 0.13/0.31  % WCLimit  : 600
% 0.13/0.31  % DateTime : Sat Jul  2 20:02:54 EDT 2022
% 0.13/0.31  % CPUTime  : 
% 0.13/0.33  ----- Otter 3.2, August 2001 -----
% 0.13/0.33  The process was started by sandbox on n027.cluster.edu,
% 0.13/0.33  Sat Jul  2 20:02:54 2022
% 0.13/0.33  The command was "./sos".  The process ID is 5919.
% 0.13/0.33  
% 0.13/0.33  set(prolog_style_variables).
% 0.13/0.33  set(auto).
% 0.13/0.33     dependent: set(auto1).
% 0.13/0.33     dependent: set(process_input).
% 0.13/0.33     dependent: clear(print_kept).
% 0.13/0.33     dependent: clear(print_new_demod).
% 0.13/0.33     dependent: clear(print_back_demod).
% 0.13/0.33     dependent: clear(print_back_sub).
% 0.13/0.33     dependent: set(control_memory).
% 0.13/0.33     dependent: assign(max_mem, 12000).
% 0.13/0.33     dependent: assign(pick_given_ratio, 4).
% 0.13/0.33     dependent: assign(stats_level, 1).
% 0.13/0.33     dependent: assign(pick_semantic_ratio, 3).
% 0.13/0.33     dependent: assign(sos_limit, 5000).
% 0.13/0.33     dependent: assign(max_weight, 60).
% 0.13/0.33  clear(print_given).
% 0.13/0.33  
% 0.13/0.33  list(usable).
% 0.13/0.33  
% 0.13/0.33  SCAN INPUT: prop=0, horn=1, equality=0, symmetry=0, max_lits=3.
% 0.13/0.33  
% 0.13/0.33  This is a Horn set without equality.  The strategy will
% 0.13/0.33  be hyperresolution, with satellites in sos and nuclei
% 0.13/0.33  in usable.
% 0.13/0.33  
% 0.13/0.33     dependent: set(hyper_res).
% 0.13/0.33     dependent: clear(order_hyper).
% 0.13/0.33  
% 0.13/0.33  ------------> process usable:
% 0.13/0.33  
% 0.13/0.33  ------------> process sos:
% 0.13/0.33  
% 0.13/0.33  ======= end of input processing =======
% 0.18/0.36  
% 0.18/0.36  Model 1 (0.00 seconds, 0 Inserts)
% 0.18/0.36  
% 0.18/0.36  Stopped by limit on number of solutions
% 0.18/0.36  
% 0.18/0.36  
% 0.18/0.36  -------------- Softie stats --------------
% 0.18/0.36  
% 0.18/0.36  UPDATE_STOP: 300
% 0.18/0.36  SFINDER_TIME_LIMIT: 2
% 0.18/0.36  SHORT_CLAUSE_CUTOFF: 4
% 0.18/0.36  number of clauses in intial UL: 2
% 0.18/0.36  number of clauses initially in problem: 5
% 0.18/0.36  percentage of clauses intially in UL: 40
% 0.18/0.36  percentage of distinct symbols occuring in initial UL: 100
% 0.18/0.36  percent of all initial clauses that are short: 100
% 0.18/0.36  absolute distinct symbol count: 6
% 0.18/0.36     distinct predicate count: 1
% 0.18/0.36     distinct function count: 2
% 0.18/0.36     distinct constant count: 3
% 0.18/0.36  
% 0.18/0.36  ---------- no more Softie stats ----------
% 0.18/0.36  
% 0.18/0.36  
% 0.18/0.36  
% 0.18/0.36  =========== start of search ===========
% 4.11/4.32  
% 4.11/4.32  
% 4.11/4.32  Changing weight limit from 60 to 49.
% 4.11/4.32  
% 4.11/4.32  Model 2 (0.00 seconds, 0 Inserts)
% 4.11/4.32  
% 4.11/4.32  Stopped by limit on number of solutions
% 4.11/4.32  
% 4.11/4.32  Model 3 (0.00 seconds, 0 Inserts)
% 4.11/4.32  
% 4.11/4.32  Stopped by limit on number of solutions
% 4.11/4.32  
% 4.11/4.32  Model 4 (0.00 seconds, 0 Inserts)
% 4.11/4.32  
% 4.11/4.32  Stopped by limit on number of solutions
% 4.11/4.32  
% 4.11/4.32  Stopped by limit on insertions
% 4.11/4.32  
% 4.11/4.32  Model 5 [ 1 1 117 ] (0.00 seconds, 250000 Inserts)
% 4.11/4.32  
% 4.11/4.32  Resetting weight limit to 49 after 145 givens.
% 4.11/4.32  
% 22.54/22.70  
% 22.54/22.70  
% 22.54/22.70  Changing weight limit from 49 to 30.
% 22.54/22.70  
% 22.54/22.70  Stopped by limit on insertions
% 22.54/22.70  
% 22.54/22.70  Model 6 [ 1 1 623 ] (0.00 seconds, 250000 Inserts)
% 22.54/22.70  
% 22.54/22.70  Stopped by limit on insertions
% 22.54/22.70  
% 22.54/22.70  Model 7 [ 1 0 133 ] (0.00 seconds, 250000 Inserts)
% 22.54/22.70  
% 22.54/22.70  Stopped by limit on insertions
% 22.54/22.70  
% 22.54/22.70  Stopped by limit on insertions
% 22.54/22.70  
% 22.54/22.70  Model 8 [ 1 2 9756 ] (0.00 seconds, 250000 Inserts)
% 22.54/22.70  
% 22.54/22.70  Stopped by limit on insertions
% 22.54/22.70  
% 22.54/22.70  Model 9 [ 2 1 1951 ] (0.00 seconds, 250000 Inserts)
% 22.54/22.70  
% 22.54/22.70  Resetting weight limit to 30 after 300 givens.
% 22.54/22.70  
% 23.87/24.08  
% 23.87/24.08  
% 23.87/24.08  Changing weight limit from 30 to 27.
% 23.87/24.08  
% 23.87/24.08  Modelling stopped after 300 given clauses and 0.00 seconds
% 23.87/24.08  
% 23.87/24.08  
% 23.87/24.08  Resetting weight limit to 27 after 435 givens.
% 23.87/24.08  
% 23.95/24.14  
% 23.95/24.14  
% 23.95/24.14  Changing weight limit from 27 to 26.
% 23.95/24.14  
% 23.95/24.14  Resetting weight limit to 26 after 440 givens.
% 23.95/24.14  
% 24.02/24.24  
% 24.02/24.24  
% 24.02/24.24  Changing weight limit from 26 to 25.
% 24.02/24.24  
% 24.02/24.24  Resetting weight limit to 25 after 450 givens.
% 24.02/24.24  
% 24.12/24.29  
% 24.12/24.29  
% 24.12/24.29  Changing weight limit from 25 to 24.
% 24.12/24.29  
% 24.12/24.29  Resetting weight limit to 24 after 455 givens.
% 24.12/24.29  
% 24.17/24.34  
% 24.17/24.34  
% 24.17/24.34  Changing weight limit from 24 to 23.
% 24.17/24.34  
% 24.17/24.34  Resetting weight limit to 23 after 460 givens.
% 24.17/24.34  
% 24.27/24.46  
% 24.27/24.46  
% 24.27/24.46  Changing weight limit from 23 to 22.
% 24.27/24.46  
% 24.27/24.46  Resetting weight limit to 22 after 470 givens.
% 24.27/24.46  
% 24.34/24.56  
% 24.34/24.56  
% 24.34/24.56  Changing weight limit from 22 to 21.
% 24.34/24.56  
% 24.34/24.56  Resetting weight limit to 21 after 490 givens.
% 24.34/24.56  
% 24.47/24.71  
% 24.47/24.71  
% 24.47/24.71  Changing weight limit from 21 to 20.
% 24.47/24.71  
% 24.47/24.71  Resetting weight limit to 20 after 510 givens.
% 24.47/24.71  
% 24.63/24.83  
% 24.63/24.83  
% 24.63/24.83  Changing weight limit from 20 to 19.
% 24.63/24.83  
% 24.63/24.83  Resetting weight limit to 19 after 525 givens.
% 24.63/24.83  
% 24.85/25.06  
% 24.85/25.06  
% 24.85/25.06  Changing weight limit from 19 to 18.
% 24.85/25.06  
% 24.85/25.06  Resetting weight limit to 18 after 575 givens.
% 24.85/25.06  
% 25.36/25.56  
% 25.36/25.56  
% 25.36/25.56  Changing weight limit from 18 to 17.
% 25.36/25.56  
% 25.36/25.56  Resetting weight limit to 17 after 715 givens.
% 25.36/25.56  
% 26.64/26.80  
% 26.64/26.80  
% 26.64/26.80  Changing weight limit from 17 to 16.
% 26.64/26.80  
% 26.64/26.80  Resetting weight limit to 16 after 1005 givens.
% 26.64/26.80  
% 29.16/29.35  
% 29.16/29.35  
% 29.16/29.35  Changing weight limit from 16 to 15.
% 29.16/29.35  
% 29.16/29.35  Resetting weight limit to 15 after 1485 givens.
% 29.16/29.35  
% 29.64/29.84  
% 29.64/29.84  -- HEY sandbox, WE HAVE A PROOF!! -- 
% 29.64/29.84  
% 29.64/29.84  ----> UNIT CONFLICT at  29.11 sec ----> 94605 [binary,94604.1,2.1] {+} $F.
% 29.64/29.84  
% 29.64/29.84  Length of proof is 42.  Level of proof is 28.
% 29.64/29.84  
% 29.64/29.84  ---------------- PROOF ----------------
% 29.64/29.84  % SZS status Unsatisfiable
% 29.64/29.84  % SZS output start Refutation
% 29.64/29.84  
% 29.64/29.84  1 [] {+} -is_a_theorem(implies(A,B))| -is_a_theorem(A)|is_a_theorem(B).
% 29.64/29.84  2 [] {+} -is_a_theorem(implies(implies(x,implies(y,z)),implies(x,implies(not(z),not(y))))).
% 29.64/29.84  3 [] {-} is_a_theorem(implies(implies(A,B),implies(implies(B,C),implies(A,C)))).
% 29.64/29.84  4 [] {+} is_a_theorem(implies(implies(not(A),A),A)).
% 29.64/29.84  5 [] {+} is_a_theorem(implies(A,implies(not(A),B))).
% 29.64/29.84  6 [hyper,3,1,3] {-} is_a_theorem(implies(implies(implies(implies(A,B),implies(C,B)),D),implies(implies(C,A),D))).
% 29.64/29.84  7 [hyper,4,1,3] {+} is_a_theorem(implies(implies(A,B),implies(implies(not(A),A),B))).
% 29.64/29.84  9 [hyper,5,1,3] {-} is_a_theorem(implies(implies(implies(not(A),B),C),implies(A,C))).
% 29.64/29.84  15 [hyper,9,1,4] {+} is_a_theorem(implies(A,A)).
% 29.64/29.84  18 [hyper,6,1,6] {-} is_a_theorem(implies(implies(A,implies(B,C)),implies(implies(D,B),implies(A,implies(D,C))))).
% 29.64/29.84  21 [hyper,6,1,9] {-} is_a_theorem(implies(implies(A,not(B)),implies(B,implies(A,C)))).
% 29.64/29.84  24 [hyper,21,1,9] {+} is_a_theorem(implies(A,implies(B,implies(not(A),C)))).
% 29.64/29.84  26 [hyper,21,1,3] {-} is_a_theorem(implies(implies(implies(A,implies(B,C)),D),implies(implies(B,not(A)),D))).
% 29.64/29.84  37 [hyper,7,1,3] {+} is_a_theorem(implies(implies(implies(implies(not(A),A),B),C),implies(implies(A,B),C))).
% 29.64/29.84  42 [hyper,7,1,9] {-} is_a_theorem(implies(implies(not(implies(implies(not(A),B),C)),implies(implies(not(A),B),C)),implies(A,C))).
% 29.64/29.84  43 [hyper,7,1,6] {+} 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))).
% 29.64/29.84  55 [hyper,24,1,3] {-} is_a_theorem(implies(implies(implies(A,implies(not(B),C)),D),implies(B,D))).
% 29.64/29.84  71 [hyper,55,1,3] {-} is_a_theorem(implies(A,implies(implies(implies(not(A),B),C),implies(D,C)))).
% 29.64/29.84  85 [hyper,71,1,15] {-} is_a_theorem(implies(implies(implies(not(implies(A,A)),B),C),implies(D,C))).
% 29.64/29.84  111 [hyper,85,1,4] {+} is_a_theorem(implies(A,implies(B,B))).
% 29.64/29.84  162 [hyper,111,1,3] {-} is_a_theorem(implies(implies(implies(A,A),B),implies(C,B))).
% 29.64/29.84  198 [hyper,162,1,3] {-} is_a_theorem(implies(implies(implies(A,B),C),implies(implies(implies(D,D),B),C))).
% 29.64/29.84  203 [hyper,162,1,7] {+} is_a_theorem(implies(A,implies(implies(not(B),B),B))).
% 29.64/29.84  437 [hyper,203,1,18] {+} is_a_theorem(implies(implies(A,implies(not(B),B)),implies(C,implies(A,B)))).
% 29.64/29.84  4075 [hyper,437,1,26] {-} is_a_theorem(implies(implies(not(A),not(B)),implies(C,implies(B,A)))).
% 29.64/29.84  4139 [hyper,4075,1,437] {-} is_a_theorem(implies(A,implies(implies(not(B),not(C)),implies(C,B)))).
% 29.64/29.84  4210 [hyper,4139,1,4139] {-} is_a_theorem(implies(implies(not(A),not(B)),implies(B,A))).
% 29.64/29.84  4232 [hyper,4139,1,42] {+} is_a_theorem(implies(A,implies(B,A))).
% 29.64/29.84  4276 [hyper,4210,1,198] {-} is_a_theorem(implies(implies(implies(A,A),not(B)),implies(B,C))).
% 29.64/29.84  4315 [hyper,4232,1,3] {+} is_a_theorem(implies(implies(implies(A,B),C),implies(B,C))).
% 29.64/29.84  4986 [hyper,4315,1,4276] {-} is_a_theorem(implies(not(A),implies(A,B))).
% 29.64/29.84  5312 [hyper,4986,1,3] {+} is_a_theorem(implies(implies(implies(A,B),C),implies(not(A),C))).
% 29.64/29.84  29069 [hyper,5312,1,437] {-} is_a_theorem(implies(A,implies(implies(implies(B,C),B),B))).
% 29.64/29.84  29212 [hyper,29069,1,43] {+} is_a_theorem(implies(implies(A,implies(A,B)),implies(A,B))).
% 29.64/29.84  30688 [hyper,29212,1,437] {+} is_a_theorem(implies(implies(A,implies(not(B),B)),implies(A,B))).
% 29.64/29.84  45193 [hyper,30688,1,6] {-} is_a_theorem(implies(implies(not(A),B),implies(implies(B,A),A))).
% 29.64/29.84  45321 [hyper,45193,1,4315] {-} is_a_theorem(implies(A,implies(implies(A,B),B))).
% 29.64/29.84  45369 [hyper,45193,1,29069] {-} is_a_theorem(implies(implies(implies(implies(implies(A,B),A),A),C),C)).
% 29.64/29.84  45716 [hyper,45321,1,18] {-} is_a_theorem(implies(implies(A,implies(B,C)),implies(B,implies(A,C)))).
% 29.64/29.84  61916 [hyper,45369,1,6] {-} is_a_theorem(implies(implies(A,implies(implies(B,C),B)),implies(A,B))).
% 29.64/29.84  64960 [hyper,45716,1,3] {-} is_a_theorem(implies(implies(A,B),implies(implies(C,A),implies(C,B)))).
% 29.64/29.84  73476 [hyper,61916,1,6] {-} is_a_theorem(implies(implies(implies(A,B),C),implies(implies(C,A),A))).
% 29.64/29.84  89370 [hyper,73476,1,45716] {-} is_a_theorem(implies(implies(A,B),implies(implies(implies(B,C),A),B))).
% 29.64/29.84  94134 [hyper,89370,1,5312] {-} is_a_theorem(implies(not(A),implies(implies(implies(B,C),A),B))).
% 29.64/29.84  94329 [hyper,94134,1,45716] {-} is_a_theorem(implies(implies(implies(A,B),C),implies(not(C),A))).
% 29.64/29.84  94441 [hyper,94329,1,37] {-} is_a_theorem(implies(implies(A,B),implies(not(B),not(A)))).
% 29.64/29.84  94604 [hyper,94441,1,64960] {-} is_a_theorem(implies(implies(A,implies(B,C)),implies(A,implies(not(C),not(B))))).
% 29.64/29.84  94605 [binary,94604.1,2.1] {+} $F.
% 29.64/29.84  
% 29.64/29.84  % SZS output end Refutation
% 29.64/29.84  ------------ end of proof -------------
% 29.64/29.84  
% 29.64/29.84  
% 29.64/29.84  Search stopped by max_proofs option.
% 29.64/29.84  
% 29.64/29.84  
% 29.64/29.84  Search stopped by max_proofs option.
% 29.64/29.84  
% 29.64/29.84  ============ end of search ============
% 29.64/29.84  
% 29.64/29.84  ----------- soft-scott stats ----------
% 29.64/29.84  
% 29.64/29.84  true clauses given         285      (17.9%)
% 29.64/29.84  false clauses given       1310
% 29.64/29.84  
% 29.64/29.84        FALSE     TRUE
% 29.64/29.84    12  27        208
% 29.64/29.84    13  1392      389
% 29.64/29.84    14  1081      820
% 29.64/29.84    15  0         1083
% 29.64/29.84  tot:  2500      2500      (50.0% true)
% 29.64/29.84  
% 29.64/29.84  
% 29.64/29.84  Model 9 [ 2 1 1951 ] (0.00 seconds, 250000 Inserts)
% 29.64/29.84  
% 29.64/29.84  That finishes the proof of the theorem.
% 29.64/29.84  
% 29.64/29.84  Process 5919 finished Sat Jul  2 20:03:23 2022
%------------------------------------------------------------------------------