TSTP Solution File: LCL391-1 by SOS---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SOS---2.0
% Problem  : LCL391-1 : TPTP v8.1.0. Released v2.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : sos-script %s

% Computer : n028.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 14:29:52 EDT 2022

% Result   : Unsatisfiable 66.61s 66.78s
% Output   : Refutation 66.61s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11  % Problem  : LCL391-1 : TPTP v8.1.0. Released v2.3.0.
% 0.06/0.11  % Command  : sos-script %s
% 0.12/0.32  % Computer : n028.cluster.edu
% 0.12/0.32  % Model    : x86_64 x86_64
% 0.12/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32  % Memory   : 8042.1875MB
% 0.12/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32  % CPULimit : 300
% 0.12/0.32  % WCLimit  : 600
% 0.12/0.32  % DateTime : Sun Jul  3 16:43:03 EDT 2022
% 0.12/0.32  % CPUTime  : 
% 0.12/0.33  ----- Otter 3.2, August 2001 -----
% 0.12/0.33  The process was started by sandbox on n028.cluster.edu,
% 0.12/0.33  Sun Jul  3 16:43:03 2022
% 0.12/0.33  The command was "./sos".  The process ID is 5755.
% 0.12/0.33  
% 0.12/0.33  set(prolog_style_variables).
% 0.12/0.33  set(auto).
% 0.12/0.33     dependent: set(auto1).
% 0.12/0.33     dependent: set(process_input).
% 0.12/0.33     dependent: clear(print_kept).
% 0.12/0.33     dependent: clear(print_new_demod).
% 0.12/0.33     dependent: clear(print_back_demod).
% 0.12/0.33     dependent: clear(print_back_sub).
% 0.12/0.33     dependent: set(control_memory).
% 0.12/0.33     dependent: assign(max_mem, 12000).
% 0.12/0.33     dependent: assign(pick_given_ratio, 4).
% 0.12/0.33     dependent: assign(stats_level, 1).
% 0.12/0.33     dependent: assign(pick_semantic_ratio, 3).
% 0.12/0.33     dependent: assign(sos_limit, 5000).
% 0.12/0.33     dependent: assign(max_weight, 60).
% 0.12/0.33  clear(print_given).
% 0.12/0.33  
% 0.12/0.33  list(usable).
% 0.12/0.33  
% 0.12/0.33  SCAN INPUT: prop=0, horn=1, equality=0, symmetry=0, max_lits=3.
% 0.12/0.33  
% 0.12/0.33  This is a Horn set without equality.  The strategy will
% 0.12/0.33  be hyperresolution, with satellites in sos and nuclei
% 0.12/0.33  in usable.
% 0.12/0.33  
% 0.12/0.33     dependent: set(hyper_res).
% 0.12/0.33     dependent: clear(order_hyper).
% 0.12/0.33  
% 0.12/0.33  ------------> process usable:
% 0.12/0.33  
% 0.12/0.33  ------------> process sos:
% 0.12/0.33  
% 0.12/0.33  ======= end of input processing =======
% 0.12/0.36  
% 0.12/0.36  Model 1 (0.00 seconds, 0 Inserts)
% 0.12/0.36  
% 0.12/0.36  Stopped by limit on number of solutions
% 0.12/0.36  
% 0.12/0.36  
% 0.12/0.36  -------------- Softie stats --------------
% 0.12/0.36  
% 0.12/0.36  UPDATE_STOP: 300
% 0.12/0.36  SFINDER_TIME_LIMIT: 2
% 0.12/0.36  SHORT_CLAUSE_CUTOFF: 4
% 0.12/0.36  number of clauses in intial UL: 2
% 0.12/0.36  number of clauses initially in problem: 5
% 0.12/0.36  percentage of clauses intially in UL: 40
% 0.12/0.36  percentage of distinct symbols occuring in initial UL: 100
% 0.12/0.36  percent of all initial clauses that are short: 100
% 0.12/0.36  absolute distinct symbol count: 5
% 0.12/0.36     distinct predicate count: 1
% 0.12/0.36     distinct function count: 2
% 0.12/0.36     distinct constant count: 2
% 0.12/0.36  
% 0.12/0.36  ---------- no more Softie stats ----------
% 0.12/0.36  
% 0.12/0.36  
% 0.12/0.36  
% 0.12/0.36  =========== start of search ===========
% 3.51/3.73  
% 3.51/3.73  
% 3.51/3.73  Changing weight limit from 60 to 57.
% 3.51/3.73  
% 3.51/3.73  Model 2 (0.00 seconds, 0 Inserts)
% 3.51/3.73  
% 3.51/3.73  Stopped by limit on number of solutions
% 3.51/3.73  
% 3.51/3.73  Model 3 (0.00 seconds, 0 Inserts)
% 3.51/3.73  
% 3.51/3.73  Stopped by limit on number of solutions
% 3.51/3.73  
% 3.51/3.73  Model 4 (0.00 seconds, 0 Inserts)
% 3.51/3.73  
% 3.51/3.73  Stopped by limit on number of solutions
% 3.51/3.73  
% 3.51/3.73  Stopped by limit on insertions
% 3.51/3.73  
% 3.51/3.73  Model 5 [ 1 1 99 ] (0.00 seconds, 250000 Inserts)
% 3.51/3.73  
% 3.51/3.73  Resetting weight limit to 57 after 150 givens.
% 3.51/3.73  
% 3.61/3.78  
% 3.61/3.78  
% 3.61/3.78  Changing weight limit from 57 to 52.
% 3.61/3.78  
% 3.61/3.78  Resetting weight limit to 52 after 155 givens.
% 3.61/3.78  
% 14.28/14.45  
% 14.28/14.45  
% 14.28/14.45  Changing weight limit from 52 to 41.
% 14.28/14.45  
% 14.28/14.45  Stopped by limit on insertions
% 14.28/14.45  
% 14.28/14.45  Model 6 [ 1 0 101 ] (0.00 seconds, 250000 Inserts)
% 14.28/14.45  
% 14.28/14.45  Stopped by limit on insertions
% 14.28/14.45  
% 14.28/14.45  Stopped by limit on insertions
% 14.28/14.45  
% 14.28/14.45  Model 7 [ 1 1 1752 ] (0.00 seconds, 250000 Inserts)
% 14.28/14.45  
% 14.28/14.45  Resetting weight limit to 41 after 210 givens.
% 14.28/14.45  
% 15.99/16.20  
% 15.99/16.20  
% 15.99/16.20  Changing weight limit from 41 to 39.
% 15.99/16.20  
% 15.99/16.20  Resetting weight limit to 39 after 345 givens.
% 15.99/16.20  
% 16.09/16.25  
% 16.09/16.25  
% 16.09/16.25  Changing weight limit from 39 to 28.
% 16.09/16.25  
% 16.09/16.25  Resetting weight limit to 28 after 350 givens.
% 16.09/16.25  
% 16.09/16.32  
% 16.09/16.32  
% 16.09/16.32  Changing weight limit from 28 to 26.
% 16.09/16.32  
% 16.09/16.32  Resetting weight limit to 26 after 360 givens.
% 16.09/16.32  
% 16.18/16.36  
% 16.18/16.36  
% 16.18/16.36  Changing weight limit from 26 to 25.
% 16.18/16.36  
% 16.18/16.36  Resetting weight limit to 25 after 370 givens.
% 16.18/16.36  
% 16.28/16.45  
% 16.28/16.45  
% 16.28/16.45  Changing weight limit from 25 to 23.
% 16.28/16.45  
% 16.28/16.45  Resetting weight limit to 23 after 380 givens.
% 16.28/16.45  
% 16.29/16.50  
% 16.29/16.50  
% 16.29/16.50  Changing weight limit from 23 to 22.
% 16.29/16.50  
% 16.29/16.50  Resetting weight limit to 22 after 390 givens.
% 16.29/16.50  
% 16.41/16.64  
% 16.41/16.64  
% 16.41/16.64  Changing weight limit from 22 to 21.
% 16.41/16.64  
% 16.41/16.64  Modelling stopped after 300 given clauses and 0.00 seconds
% 16.41/16.64  
% 16.41/16.64  
% 16.41/16.64  Resetting weight limit to 21 after 410 givens.
% 16.41/16.64  
% 16.51/16.69  
% 16.51/16.69  
% 16.51/16.69  Changing weight limit from 21 to 20.
% 16.51/16.69  
% 16.51/16.69  Resetting weight limit to 20 after 415 givens.
% 16.51/16.69  
% 16.81/16.98  
% 16.81/16.98  
% 16.81/16.98  Changing weight limit from 20 to 19.
% 16.81/16.98  
% 16.81/16.98  Resetting weight limit to 19 after 470 givens.
% 16.81/16.98  
% 17.10/17.31  
% 17.10/17.31  
% 17.10/17.31  Changing weight limit from 19 to 18.
% 17.10/17.31  
% 17.10/17.31  Resetting weight limit to 18 after 520 givens.
% 17.10/17.31  
% 17.41/17.60  
% 17.41/17.60  
% 17.41/17.60  Changing weight limit from 18 to 17.
% 17.41/17.60  
% 17.41/17.60  Resetting weight limit to 17 after 560 givens.
% 17.41/17.60  
% 18.25/18.43  
% 18.25/18.43  
% 18.25/18.43  Changing weight limit from 17 to 16.
% 18.25/18.43  
% 18.25/18.43  Resetting weight limit to 16 after 810 givens.
% 18.25/18.43  
% 19.39/19.58  
% 19.39/19.58  
% 19.39/19.58  Changing weight limit from 16 to 15.
% 19.39/19.58  
% 19.39/19.58  Resetting weight limit to 15 after 1140 givens.
% 19.39/19.58  
% 66.61/66.78  
% 66.61/66.78  -- HEY sandbox, WE HAVE A PROOF!! -- 
% 66.61/66.78  
% 66.61/66.78  ----> UNIT CONFLICT at  60.35 sec ----> 195437 [binary,195436.1,2.1] {+} $F.
% 66.61/66.78  
% 66.61/66.78  Length of proof is 52.  Level of proof is 29.
% 66.61/66.78  
% 66.61/66.78  ---------------- PROOF ----------------
% 66.61/66.78  % SZS status Unsatisfiable
% 66.61/66.78  % SZS output start Refutation
% 66.61/66.78  
% 66.61/66.78  1 [] {+} -is_a_theorem(implies(A,B))| -is_a_theorem(A)|is_a_theorem(B).
% 66.61/66.78  2 [] {+} -is_a_theorem(implies(implies(x,y),implies(implies(x,not(y)),not(x)))).
% 66.61/66.78  3 [] {-} is_a_theorem(implies(implies(A,B),implies(implies(B,C),implies(A,C)))).
% 66.61/66.78  4 [] {+} is_a_theorem(implies(implies(not(A),A),A)).
% 66.61/66.78  5 [] {+} is_a_theorem(implies(A,implies(not(A),B))).
% 66.61/66.78  6 [hyper,3,1,3] {-} is_a_theorem(implies(implies(implies(implies(A,B),implies(C,B)),D),implies(implies(C,A),D))).
% 66.61/66.78  7 [hyper,4,1,3] {+} is_a_theorem(implies(implies(A,B),implies(implies(not(A),A),B))).
% 66.61/66.78  9 [hyper,5,1,3] {-} is_a_theorem(implies(implies(implies(not(A),B),C),implies(A,C))).
% 66.61/66.78  13 [hyper,9,1,3] {-} is_a_theorem(implies(implies(implies(A,B),C),implies(implies(implies(not(A),D),B),C))).
% 66.61/66.78  15 [hyper,9,1,4] {+} is_a_theorem(implies(A,A)).
% 66.61/66.78  18 [hyper,6,1,6] {-} is_a_theorem(implies(implies(A,implies(B,C)),implies(implies(D,B),implies(A,implies(D,C))))).
% 66.61/66.78  21 [hyper,6,1,9] {-} is_a_theorem(implies(implies(A,not(B)),implies(B,implies(A,C)))).
% 66.61/66.78  24 [hyper,21,1,9] {+} is_a_theorem(implies(A,implies(B,implies(not(A),C)))).
% 66.61/66.78  26 [hyper,21,1,3] {-} is_a_theorem(implies(implies(implies(A,implies(B,C)),D),implies(implies(B,not(A)),D))).
% 66.61/66.78  37 [hyper,7,1,3] {+} is_a_theorem(implies(implies(implies(implies(not(A),A),B),C),implies(implies(A,B),C))).
% 66.61/66.78  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))).
% 66.61/66.78  46 [hyper,7,1,3] {+} is_a_theorem(implies(implies(not(implies(A,B)),implies(A,B)),implies(implies(B,C),implies(A,C)))).
% 66.61/66.78  55 [hyper,24,1,3] {-} is_a_theorem(implies(implies(implies(A,implies(not(B),C)),D),implies(B,D))).
% 66.61/66.78  71 [hyper,55,1,3] {-} is_a_theorem(implies(A,implies(implies(implies(not(A),B),C),implies(D,C)))).
% 66.61/66.78  85 [hyper,71,1,15] {-} is_a_theorem(implies(implies(implies(not(implies(A,A)),B),C),implies(D,C))).
% 66.61/66.78  111 [hyper,85,1,4] {+} is_a_theorem(implies(A,implies(B,B))).
% 66.61/66.78  126 [hyper,13,1,5] {-} is_a_theorem(implies(implies(implies(not(A),B),C),implies(not(implies(A,C)),D))).
% 66.61/66.78  162 [hyper,111,1,3] {-} is_a_theorem(implies(implies(implies(A,A),B),implies(C,B))).
% 66.61/66.78  198 [hyper,162,1,3] {-} is_a_theorem(implies(implies(implies(A,B),C),implies(implies(implies(D,D),B),C))).
% 66.61/66.78  203 [hyper,162,1,7] {+} is_a_theorem(implies(A,implies(implies(not(B),B),B))).
% 66.61/66.78  437 [hyper,203,1,18] {+} is_a_theorem(implies(implies(A,implies(not(B),B)),implies(C,implies(A,B)))).
% 66.61/66.78  3719 [hyper,437,1,26] {-} is_a_theorem(implies(implies(not(A),not(B)),implies(C,implies(B,A)))).
% 66.61/66.78  3757 [hyper,3719,1,437] {-} is_a_theorem(implies(A,implies(implies(not(B),not(C)),implies(C,B)))).
% 66.61/66.78  3805 [hyper,3757,1,3757] {-} is_a_theorem(implies(implies(not(A),not(B)),implies(B,A))).
% 66.61/66.78  3864 [hyper,3805,1,198] {-} is_a_theorem(implies(implies(implies(A,A),not(B)),implies(B,C))).
% 66.61/66.78  3868 [hyper,3805,1,126] {-} is_a_theorem(implies(not(implies(A,implies(B,A))),C)).
% 66.61/66.78  3898 [hyper,3868,1,46] {+} is_a_theorem(implies(implies(implies(A,B),C),implies(B,C))).
% 66.61/66.78  4907 [hyper,3898,1,3864] {+} is_a_theorem(implies(not(A),implies(A,B))).
% 66.61/66.78  4939 [hyper,4907,1,437] {+} is_a_theorem(implies(A,implies(not(not(B)),B))).
% 66.61/66.78  4958 [hyper,4907,1,3] {+} is_a_theorem(implies(implies(implies(A,B),C),implies(not(A),C))).
% 66.61/66.78  5108 [hyper,4939,1,4939] {+} is_a_theorem(implies(not(not(A)),A)).
% 66.61/66.78  5540 [hyper,5108,1,3719] {-} is_a_theorem(implies(A,implies(B,not(not(B))))).
% 66.61/66.78  23772 [hyper,4958,1,437] {-} is_a_theorem(implies(A,implies(implies(implies(B,C),B),B))).
% 66.61/66.78  23906 [hyper,23772,1,43] {+} is_a_theorem(implies(implies(A,implies(A,B)),implies(A,B))).
% 66.61/66.78  24169 [hyper,23906,1,437] {-} is_a_theorem(implies(implies(A,implies(not(B),B)),implies(A,B))).
% 66.61/66.78  25187 [hyper,24169,1,6] {-} is_a_theorem(implies(implies(not(A),B),implies(implies(B,A),A))).
% 66.61/66.78  25936 [hyper,25187,1,3898] {+} is_a_theorem(implies(A,implies(implies(A,B),B))).
% 66.61/66.78  25973 [hyper,25187,1,23772] {-} is_a_theorem(implies(implies(implies(implies(implies(A,B),A),A),C),C)).
% 66.61/66.78  26070 [hyper,25187,1,5540] {+} is_a_theorem(implies(implies(implies(A,not(not(A))),B),B)).
% 66.61/66.78  26739 [hyper,25936,1,18] {-} is_a_theorem(implies(implies(A,implies(B,C)),implies(B,implies(A,C)))).
% 66.61/66.78  28570 [hyper,26070,1,6] {+} is_a_theorem(implies(implies(A,B),implies(A,not(not(B))))).
% 66.61/66.78  29415 [hyper,28570,1,3] {+} is_a_theorem(implies(implies(implies(A,not(not(B))),C),implies(implies(A,B),C))).
% 66.61/66.78  44612 [hyper,25973,1,6] {-} is_a_theorem(implies(implies(A,implies(implies(B,C),B)),implies(A,B))).
% 66.61/66.78  54093 [hyper,44612,1,26] {-} is_a_theorem(implies(implies(implies(A,B),not(C)),implies(C,A))).
% 66.61/66.78  54095 [hyper,44612,1,6] {-} is_a_theorem(implies(implies(implies(A,B),C),implies(implies(C,A),A))).
% 66.61/66.78  54166 [hyper,54093,1,37] {-} is_a_theorem(implies(implies(A,not(B)),implies(B,not(A)))).
% 66.61/66.78  54213 [hyper,54166,1,5] {-} is_a_theorem(implies(not(implies(implies(A,not(B)),implies(B,not(A)))),C)).
% 66.61/66.78  60030 [hyper,54095,1,37] {-} is_a_theorem(implies(implies(A,B),implies(implies(B,not(A)),not(A)))).
% 66.61/66.78  63721 [hyper,60030,1,26739] {-} is_a_theorem(implies(implies(A,not(B)),implies(implies(B,A),not(B)))).
% 66.61/66.78  103555 [hyper,54213,1,46] {-} is_a_theorem(implies(implies(implies(A,not(B)),C),implies(implies(B,not(A)),C))).
% 66.61/66.78  195240 [hyper,103555,1,63721] {-} is_a_theorem(implies(implies(A,not(B)),implies(implies(A,B),not(A)))).
% 66.61/66.78  195436 [hyper,195240,1,29415] {-} is_a_theorem(implies(implies(A,B),implies(implies(A,not(B)),not(A)))).
% 66.61/66.78  195437 [binary,195436.1,2.1] {+} $F.
% 66.61/66.78  
% 66.61/66.78  % SZS output end Refutation
% 66.61/66.78  ------------ end of proof -------------
% 66.61/66.78  
% 66.61/66.78  
% 66.61/66.78  Search stopped by max_proofs option.
% 66.61/66.78  
% 66.61/66.78  
% 66.61/66.78  Search stopped by max_proofs option.
% 66.61/66.78  
% 66.61/66.78  ============ end of search ============
% 66.61/66.78  
% 66.61/66.78  ----------- soft-scott stats ----------
% 66.61/66.78  
% 66.61/66.78  true clauses given        2020      (27.7%)
% 66.61/66.78  false clauses given       5275
% 66.61/66.78  
% 66.61/66.78        FALSE     TRUE
% 66.61/66.78    13  1         0
% 66.61/66.78    14  2499      1339
% 66.61/66.78    15  0         1161
% 66.61/66.78  tot:  2500      2500      (50.0% true)
% 66.61/66.78  
% 66.61/66.78  
% 66.61/66.78  Model 7 [ 1 1 1752 ] (0.00 seconds, 250000 Inserts)
% 66.61/66.78  
% 66.61/66.78  That finishes the proof of the theorem.
% 66.61/66.78  
% 66.61/66.78  Process 5755 finished Sun Jul  3 16:44:10 2022
%------------------------------------------------------------------------------