TSTP Solution File: LCL050-1 by SOS---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SOS---2.0
% Problem  : LCL050-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : sos-script %s

% Computer : n021.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 14:27:35 EDT 2022

% Result   : Unsatisfiable 21.47s 21.66s
% Output   : Refutation 21.47s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : LCL050-1 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.13  % Command  : sos-script %s
% 0.13/0.34  % Computer : n021.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 : Mon Jul  4 03:08:16 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 n021.cluster.edu,
% 0.13/0.36  Mon Jul  4 03:08:16 2022
% 0.13/0.36  The command was "./sos".  The process ID is 2879.
% 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 =======
% 0.20/0.38  
% 0.20/0.38  Model 1 (0.00 seconds, 0 Inserts)
% 0.20/0.38  
% 0.20/0.38  Stopped by limit on number of solutions
% 0.20/0.38  
% 0.20/0.38  
% 0.20/0.38  -------------- Softie stats --------------
% 0.20/0.38  
% 0.20/0.38  UPDATE_STOP: 300
% 0.20/0.38  SFINDER_TIME_LIMIT: 2
% 0.20/0.38  SHORT_CLAUSE_CUTOFF: 4
% 0.20/0.38  number of clauses in intial UL: 2
% 0.20/0.38  number of clauses initially in problem: 5
% 0.20/0.38  percentage of clauses intially in UL: 40
% 0.20/0.38  percentage of distinct symbols occuring in initial UL: 83
% 0.20/0.38  percent of all initial clauses that are short: 100
% 0.20/0.38  absolute distinct symbol count: 6
% 0.20/0.38     distinct predicate count: 1
% 0.20/0.38     distinct function count: 2
% 0.20/0.38     distinct constant count: 3
% 0.20/0.38  
% 0.20/0.38  ---------- no more Softie stats ----------
% 0.20/0.38  
% 0.20/0.38  
% 0.20/0.38  
% 0.20/0.38  =========== start of search ===========
% 14.46/14.67  
% 14.46/14.67  
% 14.46/14.67  Changing weight limit from 60 to 45.
% 14.46/14.67  
% 14.46/14.67  Model 2 (0.00 seconds, 0 Inserts)
% 14.46/14.67  
% 14.46/14.67  Stopped by limit on number of solutions
% 14.46/14.67  
% 14.46/14.67  Model 3 (0.00 seconds, 0 Inserts)
% 14.46/14.67  
% 14.46/14.67  Stopped by limit on number of solutions
% 14.46/14.67  
% 14.46/14.67  Stopped by limit on insertions
% 14.46/14.67  
% 14.46/14.67  Model 4 [ 1 1 2086 ] (0.00 seconds, 250000 Inserts)
% 14.46/14.67  
% 14.46/14.67  Stopped by limit on insertions
% 14.46/14.67  
% 14.46/14.67  Model 5 [ 1 0 1298 ] (0.00 seconds, 250000 Inserts)
% 14.46/14.67  
% 14.46/14.67  Model 6 (0.00 seconds, 250000 Inserts)
% 14.46/14.67  
% 14.46/14.67  Stopped by limit on number of solutions
% 14.46/14.67  
% 14.46/14.67  Stopped by limit on insertions
% 14.46/14.67  
% 14.46/14.67  Model 7 [ 1 0 40 ] (0.00 seconds, 250000 Inserts)
% 14.46/14.67  
% 14.46/14.67  Stopped by limit on insertions
% 14.46/14.67  
% 14.46/14.67  Model 8 [ 1 1 740 ] (0.00 seconds, 250000 Inserts)
% 14.46/14.67  
% 14.46/14.67  Stopped by limit on insertions
% 14.46/14.67  
% 14.46/14.67  Stopped by limit on insertions
% 14.46/14.67  
% 14.46/14.67  Model 9 [ 3 0 294 ] (0.00 seconds, 250000 Inserts)
% 14.46/14.67  
% 14.46/14.67  Stopped by limit on insertions
% 14.46/14.67  
% 14.46/14.67  Model 10 [ 5 1 2927 ] (0.00 seconds, 250000 Inserts)
% 14.46/14.67  
% 14.46/14.67  Stopped by limit on insertions
% 14.46/14.67  
% 14.46/14.67  Model 11 [ 4 1 263 ] (0.00 seconds, 250000 Inserts)
% 14.46/14.67  
% 14.46/14.67  Resetting weight limit to 45 after 155 givens.
% 14.46/14.67  
% 18.08/18.27  
% 18.08/18.27  
% 18.08/18.27  Changing weight limit from 45 to 31.
% 18.08/18.27  
% 18.08/18.27  Stopped by limit on insertions
% 18.08/18.27  
% 18.08/18.27  Model 12 [ 6 0 878 ] (0.00 seconds, 250000 Inserts)
% 18.08/18.27  
% 18.08/18.27  Resetting weight limit to 31 after 255 givens.
% 18.08/18.27  
% 18.17/18.36  
% 18.17/18.36  
% 18.17/18.36  Changing weight limit from 31 to 25.
% 18.17/18.36  
% 18.17/18.36  Resetting weight limit to 25 after 275 givens.
% 18.17/18.36  
% 18.17/18.37  
% 18.17/18.37  
% 18.17/18.37  Changing weight limit from 25 to 23.
% 18.17/18.37  
% 18.17/18.37  Resetting weight limit to 23 after 280 givens.
% 18.17/18.37  
% 18.17/18.39  
% 18.17/18.39  
% 18.17/18.39  Changing weight limit from 23 to 20.
% 18.17/18.39  
% 18.17/18.39  Resetting weight limit to 20 after 285 givens.
% 18.17/18.39  
% 18.17/18.40  
% 18.17/18.40  
% 18.17/18.40  Changing weight limit from 20 to 19.
% 18.17/18.40  
% 18.17/18.40  Resetting weight limit to 19 after 290 givens.
% 18.17/18.40  
% 18.31/18.49  
% 18.31/18.49  
% 18.31/18.49  Changing weight limit from 19 to 18.
% 18.31/18.49  
% 18.31/18.49  Resetting weight limit to 18 after 300 givens.
% 18.31/18.49  
% 18.49/18.68  
% 18.49/18.68  
% 18.49/18.68  Changing weight limit from 18 to 17.
% 18.49/18.68  
% 18.49/18.68  Resetting weight limit to 17 after 350 givens.
% 18.49/18.68  
% 21.47/21.66  
% 21.47/21.66  -- HEY sandbox, WE HAVE A PROOF!! -- 
% 21.47/21.66  
% 21.47/21.66  Stopped by limit on insertions
% 21.47/21.66  
% 21.47/21.66  Model 13 [ 5 2 3266 ] (0.00 seconds, 250000 Inserts)
% 21.47/21.66  
% 21.47/21.66  Modelling stopped after 300 given clauses and 0.00 seconds
% 21.47/21.66  
% 21.47/21.66  
% 21.47/21.66  ----> UNIT CONFLICT at  21.21 sec ----> 19774 [binary,19773.1,2.1] {+} $F.
% 21.47/21.66  
% 21.47/21.66  Length of proof is 30.  Level of proof is 19.
% 21.47/21.66  
% 21.47/21.66  ---------------- PROOF ----------------
% 21.47/21.66  % SZS status Unsatisfiable
% 21.47/21.66  % SZS output start Refutation
% 21.47/21.66  
% 21.47/21.66  1 [] {+} -is_a_theorem(implies(A,B))| -is_a_theorem(A)|is_a_theorem(B).
% 21.47/21.66  2 [] {+} -is_a_theorem(implies(implies(a,implies(b,c)),implies(b,implies(a,c)))).
% 21.47/21.66  3 [] {-} is_a_theorem(implies(implies(A,B),implies(implies(B,C),implies(A,C)))).
% 21.47/21.66  4 [] {+} is_a_theorem(implies(implies(not(A),A),A)).
% 21.47/21.66  5 [] {+} is_a_theorem(implies(A,implies(not(A),B))).
% 21.47/21.66  6 [hyper,3,1,3] {-} is_a_theorem(implies(implies(implies(implies(A,B),implies(C,B)),D),implies(implies(C,A),D))).
% 21.47/21.66  7 [hyper,4,1,3] {-} is_a_theorem(implies(implies(A,B),implies(implies(not(A),A),B))).
% 21.47/21.66  9 [hyper,5,1,3] {-} is_a_theorem(implies(implies(implies(not(A),B),C),implies(A,C))).
% 21.47/21.66  12 [hyper,7,1,7] {-} is_a_theorem(implies(implies(not(implies(A,B)),implies(A,B)),implies(implies(not(A),A),B))).
% 21.47/21.66  17 [hyper,7,1,3] {-} is_a_theorem(implies(implies(not(implies(A,B)),implies(A,B)),implies(implies(B,C),implies(A,C)))).
% 21.47/21.66  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))).
% 21.47/21.66  22 [hyper,6,1,6] {-} is_a_theorem(implies(implies(A,implies(B,C)),implies(implies(D,B),implies(A,implies(D,C))))).
% 21.47/21.66  29 [hyper,9,1,6] {-} is_a_theorem(implies(implies(A,not(B)),implies(B,implies(A,C)))).
% 21.47/21.66  34 [hyper,9,1,4] {+} is_a_theorem(implies(A,A)).
% 21.47/21.66  36 [hyper,34,1,5] {+} is_a_theorem(implies(not(implies(A,A)),B)).
% 21.47/21.66  46 [hyper,29,1,9] {-} is_a_theorem(implies(A,implies(B,implies(not(A),C)))).
% 21.47/21.66  49 [hyper,29,1,3] {-} is_a_theorem(implies(implies(implies(A,implies(B,C)),D),implies(implies(B,not(A)),D))).
% 21.47/21.66  50 [hyper,29,1,36] {+} is_a_theorem(implies(A,implies(not(implies(B,B)),C))).
% 21.47/21.66  58 [hyper,46,1,3] {-} is_a_theorem(implies(implies(implies(A,implies(not(B),C)),D),implies(B,D))).
% 21.47/21.66  95 [hyper,50,1,3] {+} is_a_theorem(implies(implies(implies(not(implies(A,A)),B),C),implies(D,C))).
% 21.47/21.66  1011 [hyper,95,1,12] {+} is_a_theorem(implies(A,implies(implies(not(B),B),B))).
% 21.47/21.66  1227 [hyper,1011,1,22] {-} is_a_theorem(implies(implies(A,implies(not(B),B)),implies(C,implies(A,B)))).
% 21.47/21.66  1928 [hyper,1227,1,58] {-} is_a_theorem(implies(A,implies(B,implies(C,A)))).
% 21.47/21.66  1930 [hyper,1227,1,49] {-} is_a_theorem(implies(implies(not(A),not(B)),implies(C,implies(B,A)))).
% 21.47/21.66  1962 [hyper,1928,1,1227] {+} is_a_theorem(implies(A,implies(B,implies(C,B)))).
% 21.47/21.66  2081 [hyper,1962,1,17] {-} is_a_theorem(implies(implies(implies(A,B),C),implies(B,C))).
% 21.47/21.66  3122 [hyper,1930,1,2081] {-} is_a_theorem(implies(not(A),implies(B,implies(A,C)))).
% 21.47/21.66  3154 [hyper,3122,1,1227] {-} is_a_theorem(implies(A,implies(not(B),implies(B,C)))).
% 21.47/21.66  3215 [hyper,3154,1,17] {+} is_a_theorem(implies(implies(implies(A,B),C),implies(not(A),C))).
% 21.47/21.66  16553 [hyper,3215,1,1227] {-} is_a_theorem(implies(A,implies(implies(implies(B,C),B),B))).
% 21.47/21.66  16655 [hyper,16553,1,21] {-} is_a_theorem(implies(implies(A,implies(A,B)),implies(A,B))).
% 21.47/21.66  16812 [hyper,16655,1,1227] {-} is_a_theorem(implies(implies(A,implies(not(B),B)),implies(A,B))).
% 21.47/21.66  18328 [hyper,16812,1,6] {-} is_a_theorem(implies(implies(not(A),B),implies(implies(B,A),A))).
% 21.47/21.66  19514 [hyper,18328,1,2081] {-} is_a_theorem(implies(A,implies(implies(A,B),B))).
% 21.47/21.66  19773 [hyper,19514,1,22] {-} is_a_theorem(implies(implies(A,implies(B,C)),implies(B,implies(A,C)))).
% 21.47/21.66  19774 [binary,19773.1,2.1] {+} $F.
% 21.47/21.66  
% 21.47/21.66  % SZS output end Refutation
% 21.47/21.66  ------------ end of proof -------------
% 21.47/21.66  
% 21.47/21.66  
% 21.47/21.66  Search stopped by max_proofs option.
% 21.47/21.66  
% 21.47/21.66  
% 21.47/21.66  Search stopped by max_proofs option.
% 21.47/21.66  
% 21.47/21.66  ============ end of search ============
% 21.47/21.66  
% 21.47/21.66  ----------- soft-scott stats ----------
% 21.47/21.66  
% 21.47/21.66  true clauses given         125      (23.0%)
% 21.47/21.66  false clauses given        418
% 21.47/21.66  
% 21.47/21.66        FALSE     TRUE
% 21.47/21.66    10  5         2
% 21.47/21.66    11  8         54
% 21.47/21.66    12  264       174
% 21.47/21.66    13  608       254
% 21.47/21.66    14  912       452
% 21.47/21.66    15  847       594
% 21.47/21.66    16  45        930
% 21.47/21.66    17  51        75
% 21.47/21.66  tot:  2740      2535      (48.1% true)
% 21.47/21.66  
% 21.47/21.66  
% 21.47/21.66  Model 13 [ 5 2 3266 ] (0.00 seconds, 250000 Inserts)
% 21.47/21.66  
% 21.47/21.66  That finishes the proof of the theorem.
% 21.47/21.66  
% 21.47/21.66  Process 2879 finished Mon Jul  4 03:08:37 2022
%------------------------------------------------------------------------------