TSTP Solution File: LCL404-1 by SOS---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SOS---2.0
% Problem  : LCL404-1 : TPTP v8.1.0. Released v2.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : sos-script %s

% Computer : n004.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 14:29:57 EDT 2022

% Result   : Unsatisfiable 27.99s 28.23s
% Output   : Refutation 27.99s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : LCL404-1 : TPTP v8.1.0. Released v2.3.0.
% 0.06/0.12  % Command  : sos-script %s
% 0.12/0.33  % Computer : n004.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 : Sat Jul  2 23:15:53 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 n004.cluster.edu,
% 0.12/0.35  Sat Jul  2 23:15:53 2022
% 0.12/0.35  The command was "./sos".  The process ID is 1179.
% 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 ===========
% 5.91/6.10  
% 5.91/6.10  
% 5.91/6.10  Changing weight limit from 60 to 52.
% 5.91/6.10  
% 5.91/6.10  Model 2 (0.00 seconds, 0 Inserts)
% 5.91/6.10  
% 5.91/6.10  Stopped by limit on number of solutions
% 5.91/6.10  
% 5.91/6.10  Model 3 (0.00 seconds, 0 Inserts)
% 5.91/6.10  
% 5.91/6.10  Stopped by limit on number of solutions
% 5.91/6.10  
% 5.91/6.10  Model 4 (0.00 seconds, 0 Inserts)
% 5.91/6.10  
% 5.91/6.10  Stopped by limit on number of solutions
% 5.91/6.10  
% 5.91/6.10  Stopped by limit on insertions
% 5.91/6.10  
% 5.91/6.10  Model 5 [ 1 0 40 ] (0.00 seconds, 250000 Inserts)
% 5.91/6.10  
% 5.91/6.10  Resetting weight limit to 52 after 145 givens.
% 5.91/6.10  
% 22.34/22.59  
% 22.34/22.59  
% 22.34/22.59  Changing weight limit from 52 to 32.
% 22.34/22.59  
% 22.34/22.59  Stopped by limit on insertions
% 22.34/22.59  
% 22.34/22.59  Model 6 [ 1 0 91 ] (0.00 seconds, 250000 Inserts)
% 22.34/22.59  
% 22.34/22.59  Stopped by limit on insertions
% 22.34/22.59  
% 22.34/22.59  Model 7 [ 1 0 182 ] (0.00 seconds, 250000 Inserts)
% 22.34/22.59  
% 22.34/22.59  Stopped by limit on insertions
% 22.34/22.59  
% 22.34/22.59  Model 8 [ 1 1 563 ] (0.00 seconds, 250000 Inserts)
% 22.34/22.59  
% 22.34/22.59  Resetting weight limit to 32 after 225 givens.
% 22.34/22.59  
% 24.24/24.46  
% 24.24/24.46  
% 24.24/24.46  Changing weight limit from 32 to 31.
% 24.24/24.46  
% 24.24/24.46  Resetting weight limit to 31 after 345 givens.
% 24.24/24.46  
% 24.30/24.54  
% 24.30/24.54  
% 24.30/24.54  Changing weight limit from 31 to 27.
% 24.30/24.54  
% 24.30/24.54  Resetting weight limit to 27 after 350 givens.
% 24.30/24.54  
% 24.38/24.58  
% 24.38/24.58  
% 24.38/24.58  Changing weight limit from 27 to 26.
% 24.38/24.58  
% 24.38/24.58  Resetting weight limit to 26 after 355 givens.
% 24.38/24.58  
% 24.41/24.62  
% 24.41/24.62  
% 24.41/24.62  Changing weight limit from 26 to 25.
% 24.41/24.62  
% 24.41/24.62  Resetting weight limit to 25 after 360 givens.
% 24.41/24.62  
% 24.53/24.72  
% 24.53/24.72  
% 24.53/24.72  Changing weight limit from 25 to 24.
% 24.53/24.72  
% 24.53/24.72  Resetting weight limit to 24 after 370 givens.
% 24.53/24.72  
% 24.53/24.76  
% 24.53/24.76  
% 24.53/24.76  Changing weight limit from 24 to 23.
% 24.53/24.76  
% 24.53/24.76  Resetting weight limit to 23 after 375 givens.
% 24.53/24.76  
% 24.59/24.84  
% 24.59/24.84  
% 24.59/24.84  Changing weight limit from 23 to 22.
% 24.59/24.84  
% 24.59/24.84  Resetting weight limit to 22 after 395 givens.
% 24.59/24.84  
% 24.76/24.96  
% 24.76/24.96  
% 24.76/24.96  Changing weight limit from 22 to 21.
% 24.76/24.96  
% 24.76/24.96  Resetting weight limit to 21 after 410 givens.
% 24.76/24.96  
% 24.76/25.01  
% 24.76/25.01  
% 24.76/25.01  Changing weight limit from 21 to 20.
% 24.76/25.01  
% 24.76/25.01  Modelling stopped after 300 given clauses and 0.00 seconds
% 24.76/25.01  
% 24.76/25.01  
% 24.76/25.01  Resetting weight limit to 20 after 415 givens.
% 24.76/25.01  
% 25.02/25.22  
% 25.02/25.22  
% 25.02/25.22  Changing weight limit from 20 to 19.
% 25.02/25.22  
% 25.02/25.22  Resetting weight limit to 19 after 445 givens.
% 25.02/25.22  
% 25.36/25.61  
% 25.36/25.61  
% 25.36/25.61  Changing weight limit from 19 to 18.
% 25.36/25.61  
% 25.36/25.61  Resetting weight limit to 18 after 515 givens.
% 25.36/25.61  
% 25.66/25.89  
% 25.66/25.89  
% 25.66/25.89  Changing weight limit from 18 to 17.
% 25.66/25.89  
% 25.66/25.89  Resetting weight limit to 17 after 550 givens.
% 25.66/25.89  
% 26.42/26.63  
% 26.42/26.63  
% 26.42/26.63  Changing weight limit from 17 to 16.
% 26.42/26.63  
% 26.42/26.63  Resetting weight limit to 16 after 790 givens.
% 26.42/26.63  
% 27.63/27.83  
% 27.63/27.83  
% 27.63/27.83  Changing weight limit from 16 to 15.
% 27.63/27.83  
% 27.63/27.83  Resetting weight limit to 15 after 1110 givens.
% 27.63/27.83  
% 27.99/28.23  
% 27.99/28.23  -- HEY sandbox, WE HAVE A PROOF!! -- 
% 27.99/28.23  
% 27.99/28.23  ----> UNIT CONFLICT at  27.63 sec ----> 54885 [binary,54884.1,2.1] {+} $F.
% 27.99/28.23  
% 27.99/28.23  Length of proof is 39.  Level of proof is 24.
% 27.99/28.23  
% 27.99/28.23  ---------------- PROOF ----------------
% 27.99/28.23  % SZS status Unsatisfiable
% 27.99/28.23  % SZS output start Refutation
% 27.99/28.23  
% 27.99/28.23  1 [] {+} -is_a_theorem(implies(A,B))| -is_a_theorem(A)|is_a_theorem(B).
% 27.99/28.23  2 [] {+} -is_a_theorem(implies(x,implies(y,not(implies(x,not(y)))))).
% 27.99/28.23  3 [] {-} is_a_theorem(implies(implies(A,B),implies(implies(B,C),implies(A,C)))).
% 27.99/28.23  4 [] {+} is_a_theorem(implies(implies(not(A),A),A)).
% 27.99/28.23  5 [] {+} is_a_theorem(implies(A,implies(not(A),B))).
% 27.99/28.23  6 [hyper,3,1,3] {-} is_a_theorem(implies(implies(implies(implies(A,B),implies(C,B)),D),implies(implies(C,A),D))).
% 27.99/28.23  7 [hyper,4,1,3] {-} is_a_theorem(implies(implies(A,B),implies(implies(not(A),A),B))).
% 27.99/28.23  9 [hyper,5,1,3] {-} is_a_theorem(implies(implies(implies(not(A),B),C),implies(A,C))).
% 27.99/28.23  12 [hyper,7,1,7] {+} is_a_theorem(implies(implies(not(implies(A,B)),implies(A,B)),implies(implies(not(A),A),B))).
% 27.99/28.23  14 [hyper,7,1,3] {+} is_a_theorem(implies(implies(implies(implies(not(A),A),B),C),implies(implies(A,B),C))).
% 27.99/28.23  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))).
% 27.99/28.23  28 [hyper,9,1,7] {-} is_a_theorem(implies(implies(not(implies(implies(not(A),B),C)),implies(implies(not(A),B),C)),implies(A,C))).
% 27.99/28.23  29 [hyper,9,1,6] {-} is_a_theorem(implies(implies(A,not(B)),implies(B,implies(A,C)))).
% 27.99/28.23  34 [hyper,9,1,4] {+} is_a_theorem(implies(A,A)).
% 27.99/28.23  40 [hyper,29,1,9] {+} is_a_theorem(implies(A,implies(B,implies(not(A),C)))).
% 27.99/28.23  43 [hyper,29,1,3] {-} is_a_theorem(implies(implies(implies(A,implies(B,C)),D),implies(implies(B,not(A)),D))).
% 27.99/28.23  57 [hyper,40,1,3] {-} is_a_theorem(implies(implies(implies(A,implies(not(B),C)),D),implies(B,D))).
% 27.99/28.23  73 [hyper,57,1,3] {-} is_a_theorem(implies(A,implies(implies(implies(not(A),B),C),implies(D,C)))).
% 27.99/28.23  85 [hyper,73,1,34] {-} is_a_theorem(implies(implies(implies(not(implies(A,A)),B),C),implies(D,C))).
% 27.99/28.23  113 [hyper,85,1,4] {+} is_a_theorem(implies(A,implies(B,B))).
% 27.99/28.23  138 [hyper,12,1,85] {+} is_a_theorem(implies(A,implies(implies(not(B),B),B))).
% 27.99/28.23  183 [hyper,113,1,3] {-} is_a_theorem(implies(implies(implies(A,A),B),implies(C,B))).
% 27.99/28.23  195 [hyper,183,1,3] {-} is_a_theorem(implies(implies(implies(A,B),C),implies(implies(implies(D,D),B),C))).
% 27.99/28.23  249 [hyper,138,1,3] {-} is_a_theorem(implies(implies(implies(implies(not(A),A),A),B),implies(C,B))).
% 27.99/28.23  281 [hyper,249,1,6] {+} is_a_theorem(implies(implies(A,implies(not(B),B)),implies(C,implies(A,B)))).
% 27.99/28.23  4376 [hyper,281,1,43] {-} is_a_theorem(implies(implies(not(A),not(B)),implies(C,implies(B,A)))).
% 27.99/28.23  4448 [hyper,4376,1,281] {-} is_a_theorem(implies(A,implies(implies(not(B),not(C)),implies(C,B)))).
% 27.99/28.23  4521 [hyper,4448,1,4448] {-} is_a_theorem(implies(implies(not(A),not(B)),implies(B,A))).
% 27.99/28.23  4546 [hyper,4448,1,28] {+} is_a_theorem(implies(A,implies(B,A))).
% 27.99/28.23  4585 [hyper,4521,1,195] {-} is_a_theorem(implies(implies(implies(A,A),not(B)),implies(B,C))).
% 27.99/28.23  4625 [hyper,4546,1,3] {+} is_a_theorem(implies(implies(implies(A,B),C),implies(B,C))).
% 27.99/28.23  5897 [hyper,4625,1,4585] {+} is_a_theorem(implies(not(A),implies(A,B))).
% 27.99/28.23  5955 [hyper,5897,1,3] {+} is_a_theorem(implies(implies(implies(A,B),C),implies(not(A),C))).
% 27.99/28.23  25376 [hyper,5955,1,281] {-} is_a_theorem(implies(A,implies(implies(implies(B,C),B),B))).
% 27.99/28.23  25494 [hyper,25376,1,21] {+} is_a_theorem(implies(implies(A,implies(A,B)),implies(A,B))).
% 27.99/28.23  25985 [hyper,25494,1,281] {-} is_a_theorem(implies(implies(A,implies(not(B),B)),implies(A,B))).
% 27.99/28.23  27154 [hyper,25985,1,6] {-} is_a_theorem(implies(implies(not(A),B),implies(implies(B,A),A))).
% 27.99/28.23  27727 [hyper,27154,1,4625] {-} is_a_theorem(implies(A,implies(implies(A,B),B))).
% 27.99/28.23  27766 [hyper,27154,1,25376] {-} is_a_theorem(implies(implies(implies(implies(implies(A,B),A),A),C),C)).
% 27.99/28.23  28027 [hyper,27727,1,3] {-} is_a_theorem(implies(implies(implies(implies(A,B),B),C),implies(A,C))).
% 27.99/28.23  45256 [hyper,27766,1,6] {-} is_a_theorem(implies(implies(A,implies(implies(B,C),B)),implies(A,B))).
% 27.99/28.23  54802 [hyper,45256,1,43] {-} is_a_theorem(implies(implies(implies(A,B),not(C)),implies(C,A))).
% 27.99/28.23  54873 [hyper,54802,1,14] {-} is_a_theorem(implies(implies(A,not(B)),implies(B,not(A)))).
% 27.99/28.23  54884 [hyper,54873,1,28027] {-} is_a_theorem(implies(A,implies(B,not(implies(A,not(B)))))).
% 27.99/28.23  54885 [binary,54884.1,2.1] {+} $F.
% 27.99/28.23  
% 27.99/28.23  % SZS output end Refutation
% 27.99/28.23  ------------ end of proof -------------
% 27.99/28.23  
% 27.99/28.23  
% 27.99/28.23  Search stopped by max_proofs option.
% 27.99/28.23  
% 27.99/28.23  
% 27.99/28.23  Search stopped by max_proofs option.
% 27.99/28.23  
% 27.99/28.23  ============ end of search ============
% 27.99/28.23  
% 27.99/28.23  ----------- soft-scott stats ----------
% 27.99/28.23  
% 27.99/28.23  true clauses given         323      (25.6%)
% 27.99/28.23  false clauses given        937
% 27.99/28.23  
% 27.99/28.23        FALSE     TRUE
% 27.99/28.23    11  1         0
% 27.99/28.23    12  153       211
% 27.99/28.23    13  1130      463
% 27.99/28.23    14  1216      835
% 27.99/28.23    15  0         991
% 27.99/28.23  tot:  2500      2500      (50.0% true)
% 27.99/28.23  
% 27.99/28.23  
% 27.99/28.23  Model 8 [ 1 1 563 ] (0.00 seconds, 250000 Inserts)
% 27.99/28.23  
% 27.99/28.23  That finishes the proof of the theorem.
% 27.99/28.23  
% 27.99/28.23  Process 1179 finished Sat Jul  2 23:16:20 2022
%------------------------------------------------------------------------------