TSTP Solution File: LCL387-1 by SOS---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SOS---2.0
% Problem  : LCL387-1 : TPTP v8.1.0. Released v2.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : sos-script %s

% Computer : n026.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 14:29:51 EDT 2022

% Result   : Unsatisfiable 24.89s 25.09s
% Output   : Refutation 24.89s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.14  % Problem  : LCL387-1 : TPTP v8.1.0. Released v2.3.0.
% 0.13/0.14  % Command  : sos-script %s
% 0.15/0.36  % Computer : n026.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit : 300
% 0.15/0.36  % WCLimit  : 600
% 0.15/0.36  % DateTime : Mon Jul  4 09:24:22 EDT 2022
% 0.15/0.36  % CPUTime  : 
% 0.15/0.39  ----- Otter 3.2, August 2001 -----
% 0.15/0.39  The process was started by sandbox2 on n026.cluster.edu,
% 0.15/0.39  Mon Jul  4 09:24:22 2022
% 0.15/0.39  The command was "./sos".  The process ID is 25845.
% 0.15/0.39  
% 0.15/0.39  set(prolog_style_variables).
% 0.15/0.39  set(auto).
% 0.15/0.39     dependent: set(auto1).
% 0.15/0.39     dependent: set(process_input).
% 0.15/0.39     dependent: clear(print_kept).
% 0.15/0.39     dependent: clear(print_new_demod).
% 0.15/0.39     dependent: clear(print_back_demod).
% 0.15/0.39     dependent: clear(print_back_sub).
% 0.15/0.39     dependent: set(control_memory).
% 0.15/0.39     dependent: assign(max_mem, 12000).
% 0.15/0.39     dependent: assign(pick_given_ratio, 4).
% 0.15/0.39     dependent: assign(stats_level, 1).
% 0.15/0.39     dependent: assign(pick_semantic_ratio, 3).
% 0.15/0.39     dependent: assign(sos_limit, 5000).
% 0.15/0.39     dependent: assign(max_weight, 60).
% 0.15/0.39  clear(print_given).
% 0.15/0.39  
% 0.15/0.39  list(usable).
% 0.15/0.39  
% 0.15/0.39  SCAN INPUT: prop=0, horn=1, equality=0, symmetry=0, max_lits=3.
% 0.15/0.39  
% 0.15/0.39  This is a Horn set without equality.  The strategy will
% 0.15/0.39  be hyperresolution, with satellites in sos and nuclei
% 0.15/0.39  in usable.
% 0.15/0.39  
% 0.15/0.39     dependent: set(hyper_res).
% 0.15/0.39     dependent: clear(order_hyper).
% 0.15/0.39  
% 0.15/0.39  ------------> process usable:
% 0.15/0.39  
% 0.15/0.39  ------------> process sos:
% 0.15/0.39  
% 0.15/0.39  ======= end of input processing =======
% 0.15/0.41  
% 0.15/0.41  Model 1 (0.00 seconds, 0 Inserts)
% 0.15/0.41  
% 0.15/0.41  Stopped by limit on number of solutions
% 0.15/0.41  
% 0.15/0.41  
% 0.15/0.41  -------------- Softie stats --------------
% 0.15/0.41  
% 0.15/0.41  UPDATE_STOP: 300
% 0.15/0.41  SFINDER_TIME_LIMIT: 2
% 0.15/0.41  SHORT_CLAUSE_CUTOFF: 4
% 0.15/0.41  number of clauses in intial UL: 2
% 0.15/0.41  number of clauses initially in problem: 5
% 0.15/0.41  percentage of clauses intially in UL: 40
% 0.15/0.41  percentage of distinct symbols occuring in initial UL: 100
% 0.15/0.41  percent of all initial clauses that are short: 100
% 0.15/0.41  absolute distinct symbol count: 6
% 0.15/0.41     distinct predicate count: 1
% 0.15/0.41     distinct function count: 2
% 0.15/0.41     distinct constant count: 3
% 0.15/0.41  
% 0.15/0.41  ---------- no more Softie stats ----------
% 0.15/0.41  
% 0.15/0.41  
% 0.15/0.41  
% 0.15/0.41  =========== start of search ===========
% 5.27/5.51  
% 5.27/5.51  
% 5.27/5.51  Changing weight limit from 60 to 49.
% 5.27/5.51  
% 5.27/5.51  Model 2 (0.00 seconds, 0 Inserts)
% 5.27/5.51  
% 5.27/5.51  Stopped by limit on number of solutions
% 5.27/5.51  
% 5.27/5.51  Model 3 (0.00 seconds, 0 Inserts)
% 5.27/5.51  
% 5.27/5.51  Stopped by limit on number of solutions
% 5.27/5.51  
% 5.27/5.51  Model 4 (0.00 seconds, 0 Inserts)
% 5.27/5.51  
% 5.27/5.51  Stopped by limit on number of solutions
% 5.27/5.51  
% 5.27/5.51  Stopped by limit on insertions
% 5.27/5.51  
% 5.27/5.51  Model 5 [ 1 0 156 ] (0.00 seconds, 250000 Inserts)
% 5.27/5.51  
% 5.27/5.51  Resetting weight limit to 49 after 140 givens.
% 5.27/5.51  
% 15.64/15.81  
% 15.64/15.81  
% 15.64/15.81  Changing weight limit from 49 to 36.
% 15.64/15.81  
% 15.64/15.81  Stopped by limit on insertions
% 15.64/15.81  
% 15.64/15.81  Model 6 [ 1 1 337 ] (0.00 seconds, 250000 Inserts)
% 15.64/15.81  
% 15.64/15.81  Stopped by limit on insertions
% 15.64/15.81  
% 15.64/15.81  Model 7 [ 1 1 273 ] (0.00 seconds, 250000 Inserts)
% 15.64/15.81  
% 15.64/15.81  Resetting weight limit to 36 after 300 givens.
% 15.64/15.81  
% 15.72/15.90  
% 15.72/15.90  
% 15.72/15.90  Changing weight limit from 36 to 32.
% 15.72/15.90  
% 15.72/15.90  Resetting weight limit to 32 after 305 givens.
% 15.72/15.90  
% 15.85/16.02  
% 15.85/16.02  
% 15.85/16.02  Changing weight limit from 32 to 30.
% 15.85/16.02  
% 15.85/16.02  Resetting weight limit to 30 after 310 givens.
% 15.85/16.02  
% 15.87/16.06  
% 15.87/16.06  
% 15.87/16.06  Changing weight limit from 30 to 29.
% 15.87/16.06  
% 15.87/16.06  Resetting weight limit to 29 after 315 givens.
% 15.87/16.06  
% 15.95/16.14  
% 15.95/16.14  
% 15.95/16.14  Changing weight limit from 29 to 27.
% 15.95/16.14  
% 15.95/16.14  Resetting weight limit to 27 after 320 givens.
% 15.95/16.14  
% 16.03/16.26  
% 16.03/16.26  
% 16.03/16.26  Changing weight limit from 27 to 26.
% 16.03/16.26  
% 16.03/16.26  Resetting weight limit to 26 after 330 givens.
% 16.03/16.26  
% 16.11/16.35  
% 16.11/16.35  
% 16.11/16.35  Changing weight limit from 26 to 22.
% 16.11/16.35  
% 16.11/16.35  Resetting weight limit to 22 after 335 givens.
% 16.11/16.35  
% 16.35/16.53  
% 16.35/16.53  
% 16.35/16.53  Changing weight limit from 22 to 20.
% 16.35/16.53  
% 16.35/16.53  Resetting weight limit to 20 after 350 givens.
% 16.35/16.53  
% 21.72/21.93  
% 21.72/21.93  
% 21.72/21.93  Changing weight limit from 20 to 19.
% 21.72/21.93  
% 21.72/21.93  Stopped by limit on insertions
% 21.72/21.93  
% 21.72/21.93  Model 8 [ 1 0 2820 ] (0.00 seconds, 250000 Inserts)
% 21.72/21.93  
% 21.72/21.93  Modelling stopped after 300 given clauses and 0.00 seconds
% 21.72/21.93  
% 21.72/21.93  
% 21.72/21.93  Resetting weight limit to 19 after 535 givens.
% 21.72/21.93  
% 22.17/22.35  
% 22.17/22.35  
% 22.17/22.35  Changing weight limit from 19 to 18.
% 22.17/22.35  
% 22.17/22.35  Resetting weight limit to 18 after 610 givens.
% 22.17/22.35  
% 22.83/23.01  
% 22.83/23.01  
% 22.83/23.01  Changing weight limit from 18 to 17.
% 22.83/23.01  
% 22.83/23.01  Resetting weight limit to 17 after 760 givens.
% 22.83/23.01  
% 24.20/24.37  
% 24.20/24.37  
% 24.20/24.37  Changing weight limit from 17 to 16.
% 24.20/24.37  
% 24.20/24.37  Resetting weight limit to 16 after 1060 givens.
% 24.20/24.37  
% 24.89/25.09  
% 24.89/25.09  -- HEY sandbox2, WE HAVE A PROOF!! -- 
% 24.89/25.09  
% 24.89/25.09  ----> UNIT CONFLICT at  24.46 sec ----> 64991 [binary,64990.1,2.1] {-} $F.
% 24.89/25.09  
% 24.89/25.09  Length of proof is 40.  Level of proof is 26.
% 24.89/25.09  
% 24.89/25.09  ---------------- PROOF ----------------
% 24.89/25.09  % SZS status Unsatisfiable
% 24.89/25.09  % SZS output start Refutation
% 24.89/25.09  
% 24.89/25.09  1 [] {+} -is_a_theorem(implies(A,B))| -is_a_theorem(A)|is_a_theorem(B).
% 24.89/25.09  2 [] {+} -is_a_theorem(implies(implies(implies(not(x),y),z),implies(implies(not(y),x),z))).
% 24.89/25.09  3 [] {-} is_a_theorem(implies(implies(A,B),implies(implies(B,C),implies(A,C)))).
% 24.89/25.09  4 [] {+} is_a_theorem(implies(implies(not(A),A),A)).
% 24.89/25.09  5 [] {+} is_a_theorem(implies(A,implies(not(A),B))).
% 24.89/25.09  6 [hyper,3,1,3] {-} is_a_theorem(implies(implies(implies(implies(A,B),implies(C,B)),D),implies(implies(C,A),D))).
% 24.89/25.09  7 [hyper,4,1,3] {-} is_a_theorem(implies(implies(A,B),implies(implies(not(A),A),B))).
% 24.89/25.09  9 [hyper,5,1,3] {-} is_a_theorem(implies(implies(implies(not(A),B),C),implies(A,C))).
% 24.89/25.09  12 [hyper,7,1,7] {+} is_a_theorem(implies(implies(not(implies(A,B)),implies(A,B)),implies(implies(not(A),A),B))).
% 24.89/25.09  17 [hyper,7,1,3] {-} is_a_theorem(implies(implies(not(implies(A,B)),implies(A,B)),implies(implies(B,C),implies(A,C)))).
% 24.89/25.09  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))).
% 24.89/25.09  22 [hyper,6,1,6] {+} is_a_theorem(implies(implies(A,implies(B,C)),implies(implies(D,B),implies(A,implies(D,C))))).
% 24.89/25.09  29 [hyper,9,1,6] {-} is_a_theorem(implies(implies(A,not(B)),implies(B,implies(A,C)))).
% 24.89/25.09  31 [hyper,9,1,3] {-} is_a_theorem(implies(implies(implies(A,B),C),implies(implies(implies(not(A),D),B),C))).
% 24.89/25.09  34 [hyper,9,1,4] {+} is_a_theorem(implies(A,A)).
% 24.89/25.09  40 [hyper,29,1,9] {+} is_a_theorem(implies(A,implies(B,implies(not(A),C)))).
% 24.89/25.09  43 [hyper,29,1,3] {-} is_a_theorem(implies(implies(implies(A,implies(B,C)),D),implies(implies(B,not(A)),D))).
% 24.89/25.09  60 [hyper,40,1,3] {-} is_a_theorem(implies(implies(implies(A,implies(not(B),C)),D),implies(B,D))).
% 24.89/25.09  78 [hyper,60,1,3] {-} is_a_theorem(implies(A,implies(implies(implies(not(A),B),C),implies(D,C)))).
% 24.89/25.09  91 [hyper,78,1,34] {-} is_a_theorem(implies(implies(implies(not(implies(A,A)),B),C),implies(D,C))).
% 24.89/25.09  119 [hyper,91,1,4] {+} is_a_theorem(implies(A,implies(B,B))).
% 24.89/25.09  176 [hyper,31,1,5] {-} is_a_theorem(implies(implies(implies(not(A),B),C),implies(not(implies(A,C)),D))).
% 24.89/25.09  183 [hyper,119,1,3] {-} is_a_theorem(implies(implies(implies(A,A),B),implies(C,B))).
% 24.89/25.09  184 [hyper,12,1,91] {+} is_a_theorem(implies(A,implies(implies(not(B),B),B))).
% 24.89/25.09  208 [hyper,183,1,3] {-} is_a_theorem(implies(implies(implies(A,B),C),implies(implies(implies(D,D),B),C))).
% 24.89/25.09  280 [hyper,184,1,3] {-} is_a_theorem(implies(implies(implies(implies(not(A),A),A),B),implies(C,B))).
% 24.89/25.09  319 [hyper,280,1,6] {+} is_a_theorem(implies(implies(A,implies(not(B),B)),implies(C,implies(A,B)))).
% 24.89/25.09  4690 [hyper,319,1,43] {-} is_a_theorem(implies(implies(not(A),not(B)),implies(C,implies(B,A)))).
% 24.89/25.09  4734 [hyper,4690,1,319] {-} is_a_theorem(implies(A,implies(implies(not(B),not(C)),implies(C,B)))).
% 24.89/25.09  4828 [hyper,4734,1,4734] {-} is_a_theorem(implies(implies(not(A),not(B)),implies(B,A))).
% 24.89/25.09  4874 [hyper,4828,1,208] {-} is_a_theorem(implies(implies(implies(A,A),not(B)),implies(B,C))).
% 24.89/25.09  4877 [hyper,4828,1,176] {-} is_a_theorem(implies(not(implies(A,implies(B,A))),C)).
% 24.89/25.09  4915 [hyper,4877,1,17] {+} is_a_theorem(implies(implies(implies(A,B),C),implies(B,C))).
% 24.89/25.09  6325 [hyper,4915,1,4874] {+} is_a_theorem(implies(not(A),implies(A,B))).
% 24.89/25.09  6423 [hyper,6325,1,3] {+} is_a_theorem(implies(implies(implies(A,B),C),implies(not(A),C))).
% 24.89/25.09  30784 [hyper,6423,1,319] {-} is_a_theorem(implies(A,implies(implies(implies(B,C),B),B))).
% 24.89/25.09  30929 [hyper,30784,1,21] {+} is_a_theorem(implies(implies(A,implies(A,B)),implies(A,B))).
% 24.89/25.09  32059 [hyper,30929,1,319] {+} is_a_theorem(implies(implies(A,implies(not(B),B)),implies(A,B))).
% 24.89/25.09  44523 [hyper,32059,1,6] {-} is_a_theorem(implies(implies(not(A),B),implies(implies(B,A),A))).
% 24.89/25.09  44656 [hyper,44523,1,4915] {-} is_a_theorem(implies(A,implies(implies(A,B),B))).
% 24.89/25.09  45097 [hyper,44656,1,22] {-} is_a_theorem(implies(implies(A,implies(B,C)),implies(B,implies(A,C)))).
% 24.89/25.09  62224 [hyper,45097,1,44523] {-} is_a_theorem(implies(implies(A,B),implies(implies(not(B),A),B))).
% 24.89/25.09  64506 [hyper,62224,1,6423] {-} is_a_theorem(implies(not(A),implies(implies(not(B),A),B))).
% 24.89/25.09  64793 [hyper,64506,1,45097] {-} is_a_theorem(implies(implies(not(A),B),implies(not(B),A))).
% 24.89/25.09  64990 [hyper,64793,1,3] {-} is_a_theorem(implies(implies(implies(not(A),B),C),implies(implies(not(B),A),C))).
% 24.89/25.09  64991 [binary,64990.1,2.1] {-} $F.
% 24.89/25.09  
% 24.89/25.09  % SZS output end Refutation
% 24.89/25.09  ------------ end of proof -------------
% 24.89/25.09  
% 24.89/25.09  
% 24.89/25.09  Search stopped by max_proofs option.
% 24.89/25.09  
% 24.89/25.09  
% 24.89/25.09  Search stopped by max_proofs option.
% 24.89/25.09  
% 24.89/25.09  ============ end of search ============
% 24.89/25.09  
% 24.89/25.09  ----------- soft-scott stats ----------
% 24.89/25.09  
% 24.89/25.09  true clauses given         281      (23.5%)
% 24.89/25.09  false clauses given        917
% 24.89/25.09  
% 24.89/25.09        FALSE     TRUE
% 24.89/25.09    11  11        3
% 24.89/25.09    12  172       171
% 24.89/25.09    13  1092      366
% 24.89/25.09    14  1353      630
% 24.89/25.09    15  133       895
% 24.89/25.09    16  159       461
% 24.89/25.09  tot:  2920      2526      (46.4% true)
% 24.89/25.09  
% 24.89/25.09  
% 24.89/25.09  Model 8 [ 1 0 2820 ] (0.00 seconds, 250000 Inserts)
% 24.89/25.09  
% 24.89/25.09  That finishes the proof of the theorem.
% 24.89/25.09  
% 24.89/25.09  Process 25845 finished Mon Jul  4 09:24:46 2022
%------------------------------------------------------------------------------