TSTP Solution File: LCL382-1 by SOS---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SOS---2.0
% Problem  : LCL382-1 : TPTP v8.1.0. Released v2.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : sos-script %s

% Computer : n020.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 14:29:49 EDT 2022

% Result   : Unsatisfiable 25.57s 25.77s
% Output   : Refutation 25.57s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : LCL382-1 : TPTP v8.1.0. Released v2.3.0.
% 0.11/0.12  % Command  : sos-script %s
% 0.12/0.33  % Computer : n020.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
% 0.12/0.34  % WCLimit  : 600
% 0.12/0.34  % DateTime : Sun Jul  3 10:43:45 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.12/0.35  ----- Otter 3.2, August 2001 -----
% 0.12/0.35  The process was started by sandbox on n020.cluster.edu,
% 0.12/0.35  Sun Jul  3 10:43:45 2022
% 0.12/0.35  The command was "./sos".  The process ID is 24036.
% 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 --------------
% 0.12/0.38  
% 0.12/0.38  UPDATE_STOP: 300
% 0.12/0.38  SFINDER_TIME_LIMIT: 2
% 0.12/0.38  SHORT_CLAUSE_CUTOFF: 4
% 0.12/0.38  number of clauses in intial UL: 2
% 0.12/0.38  number of clauses initially in problem: 5
% 0.12/0.38  percentage of clauses intially in UL: 40
% 0.12/0.38  percentage of distinct symbols occuring in initial UL: 100
% 0.12/0.38  percent of all initial clauses that are short: 100
% 0.12/0.38  absolute distinct symbol count: 5
% 0.12/0.38     distinct predicate count: 1
% 0.12/0.38     distinct function count: 2
% 0.12/0.38     distinct constant count: 2
% 0.12/0.38  
% 0.12/0.38  ---------- no more Softie stats ----------
% 0.12/0.38  
% 0.12/0.38  
% 0.12/0.38  
% 0.12/0.38  =========== start of search ===========
% 24.10/24.31  
% 24.10/24.31  
% 24.10/24.31  Changing weight limit from 60 to 46.
% 24.10/24.31  
% 24.10/24.31  Model 2 (0.00 seconds, 0 Inserts)
% 24.10/24.31  
% 24.10/24.31  Stopped by limit on number of solutions
% 24.10/24.31  
% 24.10/24.31  Model 3 (0.00 seconds, 0 Inserts)
% 24.10/24.31  
% 24.10/24.31  Stopped by limit on number of solutions
% 24.10/24.31  
% 24.10/24.31  Stopped by limit on insertions
% 24.10/24.31  
% 24.10/24.31  Model 4 (0.00 seconds, 0 Inserts)
% 24.10/24.31  
% 24.10/24.31  Stopped by limit on number of solutions
% 24.10/24.31  
% 24.10/24.31  Stopped by limit on insertions
% 24.10/24.31  
% 24.10/24.31  Model 5 [ 1 0 61 ] (0.00 seconds, 250000 Inserts)
% 24.10/24.31  
% 24.10/24.31  Stopped by limit on insertions
% 24.10/24.31  
% 24.10/24.31  Model 6 [ 1 1 73 ] (0.00 seconds, 250000 Inserts)
% 24.10/24.31  
% 24.10/24.31  Stopped by limit on insertions
% 24.10/24.31  
% 24.10/24.31  Model 7 [ 1 1 237 ] (0.00 seconds, 250000 Inserts)
% 24.10/24.31  
% 24.10/24.31  Stopped by limit on insertions
% 24.10/24.31  
% 24.10/24.31  Model 8 [ 1 1 869 ] (0.00 seconds, 250000 Inserts)
% 24.10/24.31  
% 24.10/24.31  Stopped by limit on insertions
% 24.10/24.31  
% 24.10/24.31  Stopped by limit on insertions
% 24.10/24.31  
% 24.10/24.31  Model 9 [ 2 1 115 ] (0.00 seconds, 250000 Inserts)
% 24.10/24.31  
% 24.10/24.31  Resetting weight limit to 46 after 150 givens.
% 24.10/24.31  
% 24.68/24.89  
% 24.68/24.89  
% 24.68/24.89  Changing weight limit from 46 to 41.
% 24.68/24.89  
% 24.68/24.89  Resetting weight limit to 41 after 215 givens.
% 24.68/24.89  
% 24.80/25.03  
% 24.80/25.03  
% 24.80/25.03  Changing weight limit from 41 to 37.
% 24.80/25.03  
% 24.80/25.03  Resetting weight limit to 37 after 220 givens.
% 24.80/25.03  
% 24.87/25.07  
% 24.87/25.07  
% 24.87/25.07  Changing weight limit from 37 to 31.
% 24.87/25.07  
% 24.87/25.07  Resetting weight limit to 31 after 225 givens.
% 24.87/25.07  
% 24.94/25.13  
% 24.94/25.13  
% 24.94/25.13  Changing weight limit from 31 to 29.
% 24.94/25.13  
% 24.94/25.13  Resetting weight limit to 29 after 230 givens.
% 24.94/25.13  
% 24.97/25.18  
% 24.97/25.18  
% 24.97/25.18  Changing weight limit from 29 to 28.
% 24.97/25.18  
% 24.97/25.18  Resetting weight limit to 28 after 235 givens.
% 24.97/25.18  
% 24.97/25.21  
% 24.97/25.21  
% 24.97/25.21  Changing weight limit from 28 to 27.
% 24.97/25.21  
% 24.97/25.21  Resetting weight limit to 27 after 240 givens.
% 24.97/25.21  
% 25.06/25.26  
% 25.06/25.26  
% 25.06/25.26  Changing weight limit from 27 to 26.
% 25.06/25.26  
% 25.06/25.26  Resetting weight limit to 26 after 245 givens.
% 25.06/25.26  
% 25.10/25.29  
% 25.10/25.29  
% 25.10/25.29  Changing weight limit from 26 to 25.
% 25.10/25.29  
% 25.10/25.29  Resetting weight limit to 25 after 250 givens.
% 25.10/25.29  
% 25.18/25.36  
% 25.18/25.36  
% 25.18/25.36  Changing weight limit from 25 to 24.
% 25.18/25.36  
% 25.18/25.36  Resetting weight limit to 24 after 260 givens.
% 25.18/25.36  
% 25.18/25.38  
% 25.18/25.38  
% 25.18/25.38  Changing weight limit from 24 to 23.
% 25.18/25.38  
% 25.18/25.38  Resetting weight limit to 23 after 265 givens.
% 25.18/25.38  
% 25.23/25.46  
% 25.23/25.46  
% 25.23/25.46  Changing weight limit from 23 to 22.
% 25.23/25.46  
% 25.23/25.46  Resetting weight limit to 22 after 275 givens.
% 25.23/25.46  
% 25.28/25.54  
% 25.28/25.54  
% 25.28/25.54  Changing weight limit from 22 to 21.
% 25.28/25.54  
% 25.28/25.54  Resetting weight limit to 21 after 280 givens.
% 25.28/25.54  
% 25.41/25.61  
% 25.41/25.61  
% 25.41/25.61  Changing weight limit from 21 to 20.
% 25.41/25.61  
% 25.41/25.61  Resetting weight limit to 20 after 290 givens.
% 25.41/25.61  
% 25.46/25.69  
% 25.46/25.69  
% 25.46/25.69  Changing weight limit from 20 to 19.
% 25.46/25.69  
% 25.46/25.69  Resetting weight limit to 19 after 315 givens.
% 25.46/25.69  
% 25.57/25.75  
% 25.57/25.75  
% 25.57/25.75  Changing weight limit from 19 to 18.
% 25.57/25.75  
% 25.57/25.75  Resetting weight limit to 18 after 335 givens.
% 25.57/25.75  
% 25.57/25.77  
% 25.57/25.77  -- HEY sandbox, WE HAVE A PROOF!! -- 
% 25.57/25.77  
% 25.57/25.77  ----> UNIT CONFLICT at  25.35 sec ----> 12617 [binary,12616.1,2.1] {-} $F.
% 25.57/25.77  
% 25.57/25.77  Length of proof is 28.  Level of proof is 20.
% 25.57/25.77  
% 25.57/25.77  ---------------- PROOF ----------------
% 25.57/25.77  % SZS status Unsatisfiable
% 25.57/25.77  % SZS output start Refutation
% 25.57/25.77  
% 25.57/25.77  1 [] {+} -is_a_theorem(implies(A,B))| -is_a_theorem(A)|is_a_theorem(B).
% 25.57/25.77  2 [] {+} -is_a_theorem(implies(implies(x,y),implies(implies(y,not(x)),not(x)))).
% 25.57/25.77  3 [] {-} is_a_theorem(implies(implies(A,B),implies(implies(B,C),implies(A,C)))).
% 25.57/25.77  4 [] {+} is_a_theorem(implies(implies(not(A),A),A)).
% 25.57/25.77  5 [] {+} is_a_theorem(implies(A,implies(not(A),B))).
% 25.57/25.77  6 [hyper,3,1,3] {-} is_a_theorem(implies(implies(implies(implies(A,B),implies(C,B)),D),implies(implies(C,A),D))).
% 25.57/25.77  7 [hyper,4,1,3] {+} is_a_theorem(implies(implies(A,B),implies(implies(not(A),A),B))).
% 25.57/25.77  9 [hyper,5,1,3] {-} is_a_theorem(implies(implies(implies(not(A),B),C),implies(A,C))).
% 25.57/25.77  15 [hyper,9,1,4] {-} is_a_theorem(implies(A,A)).
% 25.57/25.77  21 [hyper,6,1,9] {-} is_a_theorem(implies(implies(A,not(B)),implies(B,implies(A,C)))).
% 25.57/25.77  26 [hyper,21,1,9] {+} is_a_theorem(implies(A,implies(B,implies(not(A),C)))).
% 25.57/25.77  28 [hyper,21,1,3] {+} is_a_theorem(implies(implies(implies(A,implies(B,C)),D),implies(implies(B,not(A)),D))).
% 25.57/25.77  35 [hyper,26,1,3] {-} is_a_theorem(implies(implies(implies(A,implies(not(B),C)),D),implies(B,D))).
% 25.57/25.77  49 [hyper,35,1,3] {-} is_a_theorem(implies(A,implies(implies(implies(not(A),B),C),implies(D,C)))).
% 25.57/25.77  76 [hyper,49,1,15] {-} is_a_theorem(implies(implies(implies(not(implies(A,A)),B),C),implies(D,C))).
% 25.57/25.77  96 [hyper,76,1,4] {+} is_a_theorem(implies(A,implies(B,B))).
% 25.57/25.77  108 [hyper,96,1,3] {-} is_a_theorem(implies(implies(implies(A,A),B),implies(C,B))).
% 25.57/25.77  119 [hyper,108,1,7] {-} is_a_theorem(implies(A,implies(implies(not(B),B),B))).
% 25.57/25.77  154 [hyper,119,1,3] {-} is_a_theorem(implies(implies(implies(implies(not(A),A),A),B),implies(C,B))).
% 25.57/25.77  253 [hyper,154,1,6] {-} is_a_theorem(implies(implies(A,implies(not(B),B)),implies(C,implies(A,B)))).
% 25.57/25.77  311 [hyper,253,1,253] {-} is_a_theorem(implies(A,implies(implies(B,implies(not(C),C)),implies(B,C)))).
% 25.57/25.77  375 [hyper,311,1,311] {-} is_a_theorem(implies(implies(A,implies(not(B),B)),implies(A,B))).
% 25.57/25.77  383 [hyper,375,1,375] {-} is_a_theorem(implies(implies(not(A),implies(not(A),A)),A)).
% 25.57/25.77  387 [hyper,375,1,35] {+} is_a_theorem(implies(A,implies(B,A))).
% 25.57/25.77  394 [hyper,375,1,6] {-} is_a_theorem(implies(implies(not(A),B),implies(implies(B,A),A))).
% 25.57/25.77  424 [hyper,387,1,3] {+} is_a_theorem(implies(implies(implies(A,B),C),implies(B,C))).
% 25.57/25.77  850 [hyper,28,1,383] {-} is_a_theorem(implies(implies(not(A),not(not(A))),A)).
% 25.57/25.77  1299 [hyper,424,1,850] {+} is_a_theorem(implies(not(not(A)),A)).
% 25.57/25.77  1300 [hyper,424,1,394] {+} is_a_theorem(implies(A,implies(implies(A,B),B))).
% 25.57/25.77  1371 [hyper,1299,1,394] {-} is_a_theorem(implies(implies(A,not(A)),not(A))).
% 25.57/25.77  1678 [hyper,1371,1,1300] {-} is_a_theorem(implies(implies(implies(implies(A,not(A)),not(A)),B),B)).
% 25.57/25.77  5624 [hyper,1678,1,6] {-} is_a_theorem(implies(implies(A,implies(B,not(B))),implies(A,not(B)))).
% 25.57/25.77  12616 [hyper,5624,1,6] {-} is_a_theorem(implies(implies(A,B),implies(implies(B,not(A)),not(A)))).
% 25.57/25.77  12617 [binary,12616.1,2.1] {-} $F.
% 25.57/25.77  
% 25.57/25.77  % SZS output end Refutation
% 25.57/25.77  ------------ end of proof -------------
% 25.57/25.77  
% 25.57/25.77  
% 25.57/25.77  Search stopped by max_proofs option.
% 25.57/25.77  
% 25.57/25.77  
% 25.57/25.77  Search stopped by max_proofs option.
% 25.57/25.77  
% 25.57/25.77  ============ end of search ============
% 25.57/25.77  
% 25.57/25.77  ----------- soft-scott stats ----------
% 25.57/25.77  
% 25.57/25.77  true clauses given         119      (34.8%)
% 25.57/25.77  false clauses given        223
% 25.57/25.77  
% 25.57/25.77        FALSE     TRUE
% 25.57/25.77    10  0         51
% 25.57/25.77    11  0         119
% 25.57/25.77    12  46        242
% 25.57/25.77    13  143       411
% 25.57/25.77    14  364       589
% 25.57/25.77    15  372       685
% 25.57/25.77    16  643       410
% 25.57/25.77    17  403       14
% 25.57/25.77    18  540       3
% 25.57/25.77  tot:  2511      2524      (50.1% true)
% 25.57/25.77  
% 25.57/25.77  
% 25.57/25.77  Model 9 [ 2 1 115 ] (0.00 seconds, 250000 Inserts)
% 25.57/25.77  
% 25.57/25.77  That finishes the proof of the theorem.
% 25.57/25.77  
% 25.57/25.77  Process 24036 finished Sun Jul  3 10:44:10 2022
%------------------------------------------------------------------------------