TSTP Solution File: LCL370-1 by SOS---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SOS---2.0
% Problem  : LCL370-1 : TPTP v8.1.0. Released v2.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : sos-script %s

% Computer : n024.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 14:29:45 EDT 2022

% Result   : Unsatisfiable 23.91s 24.17s
% Output   : Refutation 23.91s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : LCL370-1 : TPTP v8.1.0. Released v2.3.0.
% 0.07/0.13  % Command  : sos-script %s
% 0.13/0.34  % Computer : n024.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 600
% 0.13/0.34  % DateTime : Sun Jul  3 12:43:45 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.13/0.36  ----- Otter 3.2, August 2001 -----
% 0.13/0.36  The process was started by sandbox on n024.cluster.edu,
% 0.13/0.36  Sun Jul  3 12:43:45 2022
% 0.13/0.36  The command was "./sos".  The process ID is 9584.
% 0.13/0.36  
% 0.13/0.36  set(prolog_style_variables).
% 0.13/0.36  set(auto).
% 0.13/0.36     dependent: set(auto1).
% 0.13/0.36     dependent: set(process_input).
% 0.13/0.36     dependent: clear(print_kept).
% 0.13/0.36     dependent: clear(print_new_demod).
% 0.13/0.36     dependent: clear(print_back_demod).
% 0.13/0.36     dependent: clear(print_back_sub).
% 0.13/0.36     dependent: set(control_memory).
% 0.13/0.36     dependent: assign(max_mem, 12000).
% 0.13/0.36     dependent: assign(pick_given_ratio, 4).
% 0.13/0.36     dependent: assign(stats_level, 1).
% 0.13/0.36     dependent: assign(pick_semantic_ratio, 3).
% 0.13/0.36     dependent: assign(sos_limit, 5000).
% 0.13/0.36     dependent: assign(max_weight, 60).
% 0.13/0.36  clear(print_given).
% 0.13/0.36  
% 0.13/0.36  list(usable).
% 0.13/0.36  
% 0.13/0.36  SCAN INPUT: prop=0, horn=1, equality=0, symmetry=0, max_lits=3.
% 0.13/0.36  
% 0.13/0.36  This is a Horn set without equality.  The strategy will
% 0.13/0.36  be hyperresolution, with satellites in sos and nuclei
% 0.13/0.36  in usable.
% 0.13/0.36  
% 0.13/0.36     dependent: set(hyper_res).
% 0.13/0.36     dependent: clear(order_hyper).
% 0.13/0.36  
% 0.13/0.36  ------------> process usable:
% 0.13/0.36  
% 0.13/0.36  ------------> process sos:
% 0.13/0.36  
% 0.13/0.36  ======= end of input processing =======
% 0.13/0.38  
% 0.13/0.38  Model 1 (0.00 seconds, 0 Inserts)
% 0.13/0.38  
% 0.13/0.38  Stopped by limit on number of solutions
% 0.13/0.38  
% 0.13/0.38  
% 0.13/0.38  -------------- Softie stats --------------
% 0.13/0.38  
% 0.13/0.38  UPDATE_STOP: 300
% 0.13/0.38  SFINDER_TIME_LIMIT: 2
% 0.13/0.38  SHORT_CLAUSE_CUTOFF: 4
% 0.13/0.38  number of clauses in intial UL: 2
% 0.13/0.38  number of clauses initially in problem: 5
% 0.13/0.38  percentage of clauses intially in UL: 40
% 0.13/0.38  percentage of distinct symbols occuring in initial UL: 83
% 0.13/0.38  percent of all initial clauses that are short: 100
% 0.13/0.38  absolute distinct symbol count: 6
% 0.13/0.38     distinct predicate count: 1
% 0.13/0.38     distinct function count: 2
% 0.13/0.38     distinct constant count: 3
% 0.13/0.38  
% 0.13/0.38  ---------- no more Softie stats ----------
% 0.13/0.38  
% 0.13/0.38  
% 0.13/0.38  
% 0.13/0.38  =========== start of search ===========
% 18.68/18.87  
% 18.68/18.87  
% 18.68/18.87  Changing weight limit from 60 to 59.
% 18.68/18.87  
% 18.68/18.87  Model 2 (0.00 seconds, 0 Inserts)
% 18.68/18.87  
% 18.68/18.87  Stopped by limit on number of solutions
% 18.68/18.87  
% 18.68/18.87  Model 3 (0.00 seconds, 0 Inserts)
% 18.68/18.87  
% 18.68/18.87  Stopped by limit on number of solutions
% 18.68/18.87  
% 18.68/18.87  Model 4 (0.00 seconds, 0 Inserts)
% 18.68/18.87  
% 18.68/18.87  Stopped by limit on number of solutions
% 18.68/18.87  
% 18.68/18.87  Stopped by limit on insertions
% 18.68/18.87  
% 18.68/18.87  Model 5 [ 1 1 72 ] (0.00 seconds, 250000 Inserts)
% 18.68/18.87  
% 18.68/18.87  Stopped by limit on insertions
% 18.68/18.87  
% 18.68/18.87  Model 6 [ 1 0 4005 ] (0.00 seconds, 250000 Inserts)
% 18.68/18.87  
% 18.68/18.87  Stopped by limit on insertions
% 18.68/18.87  
% 18.68/18.87  Stopped by limit on insertions
% 18.68/18.87  
% 18.68/18.87  Stopped by limit on insertions
% 18.68/18.87  
% 18.68/18.87  Model 7 [ 1 1 368 ] (0.00 seconds, 250000 Inserts)
% 18.68/18.87  
% 18.68/18.87  Stopped by limit on insertions
% 18.68/18.87  
% 18.68/18.87  Model 8 [ 1 0 495 ] (0.00 seconds, 250000 Inserts)
% 18.68/18.87  
% 18.68/18.87  Stopped by limit on insertions
% 18.68/18.87  
% 18.68/18.87  Model 9 [ 1 1 405 ] (0.00 seconds, 250000 Inserts)
% 18.68/18.87  
% 18.68/18.87  Stopped by limit on insertions
% 18.68/18.87  
% 18.68/18.87  Model 10 [ 1 4 28091 ] (0.00 seconds, 250000 Inserts)
% 18.68/18.87  
% 18.68/18.87  Stopped by limit on insertions
% 18.68/18.87  
% 18.68/18.87  Model 11 [ 2 1 872 ] (0.00 seconds, 250000 Inserts)
% 18.68/18.87  
% 18.68/18.87  Stopped by limit on insertions
% 18.68/18.87  
% 18.68/18.87  Model 12 [ 8 3 18463 ] (0.00 seconds, 250000 Inserts)
% 18.68/18.87  
% 18.68/18.87  Stopped by limit on insertions
% 18.68/18.87  
% 18.68/18.87  Model 13 [ 3 1 445 ] (0.00 seconds, 250000 Inserts)
% 18.68/18.87  
% 18.68/18.87  Resetting weight limit to 59 after 205 givens.
% 18.68/18.87  
% 18.75/18.93  
% 18.75/18.93  
% 18.75/18.93  Changing weight limit from 59 to 31.
% 18.75/18.93  
% 18.75/18.93  Resetting weight limit to 31 after 210 givens.
% 18.75/18.93  
% 18.76/18.97  
% 18.76/18.97  
% 18.76/18.97  Changing weight limit from 31 to 28.
% 18.76/18.97  
% 18.76/18.97  Resetting weight limit to 28 after 215 givens.
% 18.76/18.97  
% 18.96/19.17  
% 18.96/19.17  
% 18.96/19.17  Changing weight limit from 28 to 24.
% 18.96/19.17  
% 18.96/19.17  Resetting weight limit to 24 after 220 givens.
% 18.96/19.17  
% 19.06/19.28  
% 19.06/19.28  
% 19.06/19.28  Changing weight limit from 24 to 22.
% 19.06/19.28  
% 19.06/19.28  Resetting weight limit to 22 after 230 givens.
% 19.06/19.28  
% 19.20/19.41  
% 19.20/19.41  
% 19.20/19.41  Changing weight limit from 22 to 21.
% 19.20/19.41  
% 19.20/19.41  Resetting weight limit to 21 after 240 givens.
% 19.20/19.41  
% 19.32/19.52  
% 19.32/19.52  
% 19.32/19.52  Changing weight limit from 21 to 20.
% 19.32/19.52  
% 19.32/19.52  Resetting weight limit to 20 after 245 givens.
% 19.32/19.52  
% 19.36/19.58  
% 19.36/19.58  
% 19.36/19.58  Changing weight limit from 20 to 19.
% 19.36/19.58  
% 19.36/19.58  Resetting weight limit to 19 after 250 givens.
% 19.36/19.58  
% 23.15/23.37  
% 23.15/23.37  
% 23.15/23.37  Changing weight limit from 19 to 18.
% 23.15/23.37  
% 23.15/23.37  Stopped by limit on insertions
% 23.15/23.37  
% 23.15/23.37  Model 14 [ 3 1 1486 ] (0.00 seconds, 250000 Inserts)
% 23.15/23.37  
% 23.15/23.37  Stopped by limit on insertions
% 23.15/23.37  
% 23.15/23.37  Resetting weight limit to 18 after 285 givens.
% 23.15/23.37  
% 23.23/23.47  
% 23.23/23.47  
% 23.23/23.47  Changing weight limit from 18 to 17.
% 23.23/23.47  
% 23.23/23.47  Resetting weight limit to 17 after 305 givens.
% 23.23/23.47  
% 23.43/23.68  
% 23.43/23.68  
% 23.43/23.68  Changing weight limit from 17 to 16.
% 23.43/23.68  
% 23.43/23.68  Resetting weight limit to 16 after 390 givens.
% 23.43/23.68  
% 23.91/24.17  
% 23.91/24.17  -- HEY sandbox, WE HAVE A PROOF!! -- 
% 23.91/24.17  
% 23.91/24.17  Modelling stopped after 300 given clauses and 0.00 seconds
% 23.91/24.17  
% 23.91/24.17  
% 23.91/24.17  ----> UNIT CONFLICT at  23.73 sec ----> 17186 [binary,17185.1,2.1] {-} $F.
% 23.91/24.17  
% 23.91/24.17  Length of proof is 31.  Level of proof is 21.
% 23.91/24.17  
% 23.91/24.17  ---------------- PROOF ----------------
% 23.91/24.17  % SZS status Unsatisfiable
% 23.91/24.17  % SZS output start Refutation
% 23.91/24.17  
% 23.91/24.17  1 [] {+} -is_a_theorem(implies(A,B))| -is_a_theorem(A)|is_a_theorem(B).
% 23.91/24.17  2 [] {+} -is_a_theorem(implies(implies(implies(x,y),z),implies(implies(z,x),x))).
% 23.91/24.17  3 [] {-} is_a_theorem(implies(implies(A,B),implies(implies(B,C),implies(A,C)))).
% 23.91/24.17  4 [] {+} is_a_theorem(implies(implies(not(A),A),A)).
% 23.91/24.17  5 [] {+} is_a_theorem(implies(A,implies(not(A),B))).
% 23.91/24.17  6 [hyper,3,1,3] {-} is_a_theorem(implies(implies(implies(implies(A,B),implies(C,B)),D),implies(implies(C,A),D))).
% 23.91/24.17  7 [hyper,4,1,3] {+} is_a_theorem(implies(implies(A,B),implies(implies(not(A),A),B))).
% 23.91/24.17  9 [hyper,5,1,3] {-} is_a_theorem(implies(implies(implies(not(A),B),C),implies(A,C))).
% 23.91/24.17  15 [hyper,9,1,4] {+} is_a_theorem(implies(A,A)).
% 23.91/24.17  18 [hyper,6,1,6] {-} is_a_theorem(implies(implies(A,implies(B,C)),implies(implies(D,B),implies(A,implies(D,C))))).
% 23.91/24.17  21 [hyper,6,1,9] {-} is_a_theorem(implies(implies(A,not(B)),implies(B,implies(A,C)))).
% 23.91/24.17  24 [hyper,21,1,9] {+} is_a_theorem(implies(A,implies(B,implies(not(A),C)))).
% 23.91/24.17  26 [hyper,21,1,3] {-} is_a_theorem(implies(implies(implies(A,implies(B,C)),D),implies(implies(B,not(A)),D))).
% 23.91/24.17  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))).
% 23.91/24.17  55 [hyper,24,1,3] {-} is_a_theorem(implies(implies(implies(A,implies(not(B),C)),D),implies(B,D))).
% 23.91/24.17  71 [hyper,55,1,3] {-} is_a_theorem(implies(A,implies(implies(implies(not(A),B),C),implies(D,C)))).
% 23.91/24.17  85 [hyper,71,1,15] {-} is_a_theorem(implies(implies(implies(not(implies(A,A)),B),C),implies(D,C))).
% 23.91/24.17  111 [hyper,85,1,4] {+} is_a_theorem(implies(A,implies(B,B))).
% 23.91/24.17  162 [hyper,111,1,3] {-} is_a_theorem(implies(implies(implies(A,A),B),implies(C,B))).
% 23.91/24.17  203 [hyper,162,1,7] {+} is_a_theorem(implies(A,implies(implies(not(B),B),B))).
% 23.91/24.17  437 [hyper,203,1,18] {-} is_a_theorem(implies(implies(A,implies(not(B),B)),implies(C,implies(A,B)))).
% 23.91/24.17  941 [hyper,437,1,437] {-} is_a_theorem(implies(A,implies(implies(B,implies(not(C),C)),implies(B,C)))).
% 23.91/24.17  947 [hyper,437,1,55] {-} is_a_theorem(implies(A,implies(B,implies(C,A)))).
% 23.91/24.17  949 [hyper,437,1,26] {-} is_a_theorem(implies(implies(not(A),not(B)),implies(C,implies(B,A)))).
% 23.91/24.17  972 [hyper,947,1,437] {-} is_a_theorem(implies(A,implies(B,implies(C,B)))).
% 23.91/24.17  1047 [hyper,972,1,972] {+} is_a_theorem(implies(A,implies(B,A))).
% 23.91/24.17  1070 [hyper,1047,1,3] {+} is_a_theorem(implies(implies(implies(A,B),C),implies(B,C))).
% 23.91/24.17  2244 [hyper,949,1,1070] {-} is_a_theorem(implies(not(A),implies(B,implies(A,C)))).
% 23.91/24.17  2274 [hyper,2244,1,437] {-} is_a_theorem(implies(A,implies(not(B),implies(B,C)))).
% 23.91/24.17  2289 [hyper,2274,1,2274] {+} is_a_theorem(implies(not(A),implies(A,B))).
% 23.91/24.17  4822 [hyper,941,1,43] {-} is_a_theorem(implies(implies(not(A),B),implies(implies(B,A),A))).
% 23.91/24.17  4980 [hyper,4822,1,1070] {+} is_a_theorem(implies(A,implies(implies(A,B),B))).
% 23.91/24.17  5019 [hyper,4822,1,2289] {+} is_a_theorem(implies(implies(implies(A,B),A),A)).
% 23.91/24.17  5207 [hyper,4980,1,5019] {-} is_a_theorem(implies(implies(implies(implies(implies(A,B),A),A),C),C)).
% 23.91/24.17  13324 [hyper,5207,1,6] {-} is_a_theorem(implies(implies(A,implies(implies(B,C),B)),implies(A,B))).
% 23.91/24.17  17185 [hyper,13324,1,6] {-} is_a_theorem(implies(implies(implies(A,B),C),implies(implies(C,A),A))).
% 23.91/24.17  17186 [binary,17185.1,2.1] {-} $F.
% 23.91/24.17  
% 23.91/24.17  % SZS output end Refutation
% 23.91/24.17  ------------ end of proof -------------
% 23.91/24.17  
% 23.91/24.17  
% 23.91/24.17  Search stopped by max_proofs option.
% 23.91/24.17  
% 23.91/24.17  
% 23.91/24.17  Search stopped by max_proofs option.
% 23.91/24.17  
% 23.91/24.17  ============ end of search ============
% 23.91/24.17  
% 23.91/24.17  ----------- soft-scott stats ----------
% 23.91/24.17  
% 23.91/24.17  true clauses given         181      (30.0%)
% 23.91/24.17  false clauses given        423
% 23.91/24.17  
% 23.91/24.17        FALSE     TRUE
% 23.91/24.18    10  0         5
% 23.91/24.18    11  0         121
% 23.91/24.18    12  61        379
% 23.91/24.18    13  479       390
% 23.91/24.18    14  853       820
% 23.91/24.18    15  1098      784
% 23.91/24.18    16  35        6
% 23.91/24.18  tot:  2526      2505      (49.8% true)
% 23.91/24.18  
% 23.91/24.18  
% 23.91/24.18  Model 14 [ 3 -224 1486 ] (0.00 seconds, 250000 Inserts)
% 23.91/24.18  
% 23.91/24.18  That finishes the proof of the theorem.
% 23.91/24.18  
% 23.91/24.18  Process 9584 finished Sun Jul  3 12:44:08 2022
%------------------------------------------------------------------------------