TSTP Solution File: LCL401-1 by SOS---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SOS---2.0
% Problem  : LCL401-1 : TPTP v8.1.0. Released v2.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : sos-script %s

% Computer : n011.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 14:29:56 EDT 2022

% Result   : Unsatisfiable 18.51s 18.71s
% Output   : Refutation 18.51s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11  % Problem  : LCL401-1 : TPTP v8.1.0. Released v2.3.0.
% 0.07/0.12  % Command  : sos-script %s
% 0.12/0.33  % Computer : n011.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 : Mon Jul  4 12:26:51 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 sandbox2 on n011.cluster.edu,
% 0.12/0.35  Mon Jul  4 12:26:51 2022
% 0.12/0.35  The command was "./sos".  The process ID is 28547.
% 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 ===========
% 17.39/17.57  
% 17.39/17.57  
% 17.39/17.57  Changing weight limit from 60 to 40.
% 17.39/17.57  
% 17.39/17.57  Model 2 (0.00 seconds, 0 Inserts)
% 17.39/17.57  
% 17.39/17.57  Stopped by limit on number of solutions
% 17.39/17.57  
% 17.39/17.57  Model 3 (0.00 seconds, 0 Inserts)
% 17.39/17.57  
% 17.39/17.57  Stopped by limit on number of solutions
% 17.39/17.57  
% 17.39/17.57  Stopped by limit on insertions
% 17.39/17.57  
% 17.39/17.57  Model 4 [ 1 1 123 ] (0.00 seconds, 250000 Inserts)
% 17.39/17.57  
% 17.39/17.57  Model 5 (0.00 seconds, 250000 Inserts)
% 17.39/17.57  
% 17.39/17.57  Stopped by limit on number of solutions
% 17.39/17.57  
% 17.39/17.57  Stopped by limit on insertions
% 17.39/17.57  
% 17.39/17.57  Model 6 [ 1 1 55 ] (0.00 seconds, 250000 Inserts)
% 17.39/17.57  
% 17.39/17.57  Stopped by limit on insertions
% 17.39/17.57  
% 17.39/17.57  Model 7 [ 1 0 72 ] (0.00 seconds, 250000 Inserts)
% 17.39/17.57  
% 17.39/17.57  Stopped by limit on insertions
% 17.39/17.57  
% 17.39/17.57  Model 8 [ 1 0 60 ] (0.00 seconds, 250000 Inserts)
% 17.39/17.57  
% 17.39/17.57  Stopped by limit on insertions
% 17.39/17.57  
% 17.39/17.57  Model 9 [ 1 0 36 ] (0.00 seconds, 250000 Inserts)
% 17.39/17.57  
% 17.39/17.57  Stopped by limit on insertions
% 17.39/17.57  
% 17.39/17.57  Model 10 [ 1 1 4966 ] (0.00 seconds, 250000 Inserts)
% 17.39/17.57  
% 17.39/17.57  Resetting weight limit to 40 after 160 givens.
% 17.39/17.57  
% 18.51/18.71  
% 18.51/18.71  -- HEY sandbox2, WE HAVE A PROOF!! -- 
% 18.51/18.71  
% 18.51/18.71  ----> UNIT CONFLICT at  18.32 sec ----> 6867 [binary,6866.1,2.1] {+} $F.
% 18.51/18.71  
% 18.51/18.71  Length of proof is 36.  Level of proof is 24.
% 18.51/18.71  
% 18.51/18.71  ---------------- PROOF ----------------
% 18.51/18.71  % SZS status Unsatisfiable
% 18.51/18.71  % SZS output start Refutation
% 18.51/18.71  
% 18.51/18.71  1 [] {+} -is_a_theorem(implies(A,B))| -is_a_theorem(A)|is_a_theorem(B).
% 18.51/18.71  2 [] {+} -is_a_theorem(implies(not(implies(x,y)),not(y))).
% 18.51/18.71  3 [] {-} is_a_theorem(implies(implies(A,B),implies(implies(B,C),implies(A,C)))).
% 18.51/18.71  4 [] {+} is_a_theorem(implies(implies(not(A),A),A)).
% 18.51/18.71  5 [] {+} is_a_theorem(implies(A,implies(not(A),B))).
% 18.51/18.71  6 [hyper,3,1,3] {-} is_a_theorem(implies(implies(implies(implies(A,B),implies(C,B)),D),implies(implies(C,A),D))).
% 18.51/18.71  7 [hyper,4,1,3] {-} is_a_theorem(implies(implies(A,B),implies(implies(not(A),A),B))).
% 18.51/18.71  9 [hyper,5,1,3] {-} is_a_theorem(implies(implies(implies(not(A),B),C),implies(A,C))).
% 18.51/18.71  12 [hyper,7,1,7] {+} is_a_theorem(implies(implies(not(implies(A,B)),implies(A,B)),implies(implies(not(A),A),B))).
% 18.51/18.71  17 [hyper,7,1,3] {-} is_a_theorem(implies(implies(not(implies(A,B)),implies(A,B)),implies(implies(B,C),implies(A,C)))).
% 18.51/18.71  29 [hyper,9,1,6] {-} is_a_theorem(implies(implies(A,not(B)),implies(B,implies(A,C)))).
% 18.51/18.71  34 [hyper,9,1,4] {+} is_a_theorem(implies(A,A)).
% 18.51/18.71  40 [hyper,29,1,9] {+} is_a_theorem(implies(A,implies(B,implies(not(A),C)))).
% 18.51/18.71  43 [hyper,29,1,3] {-} is_a_theorem(implies(implies(implies(A,implies(B,C)),D),implies(implies(B,not(A)),D))).
% 18.51/18.71  60 [hyper,40,1,3] {-} is_a_theorem(implies(implies(implies(A,implies(not(B),C)),D),implies(B,D))).
% 18.51/18.71  78 [hyper,60,1,3] {-} is_a_theorem(implies(A,implies(implies(implies(not(A),B),C),implies(D,C)))).
% 18.51/18.71  91 [hyper,78,1,34] {-} is_a_theorem(implies(implies(implies(not(implies(A,A)),B),C),implies(D,C))).
% 18.51/18.71  119 [hyper,91,1,4] {+} is_a_theorem(implies(A,implies(B,B))).
% 18.51/18.71  183 [hyper,119,1,3] {-} is_a_theorem(implies(implies(implies(A,A),B),implies(C,B))).
% 18.51/18.71  184 [hyper,12,1,91] {+} is_a_theorem(implies(A,implies(implies(not(B),B),B))).
% 18.51/18.71  208 [hyper,183,1,3] {-} is_a_theorem(implies(implies(implies(A,B),C),implies(implies(implies(D,D),B),C))).
% 18.51/18.71  280 [hyper,184,1,3] {-} is_a_theorem(implies(implies(implies(implies(not(A),A),A),B),implies(C,B))).
% 18.51/18.71  319 [hyper,280,1,6] {-} is_a_theorem(implies(implies(A,implies(not(B),B)),implies(C,implies(A,B)))).
% 18.51/18.71  2251 [hyper,319,1,60] {+} is_a_theorem(implies(A,implies(B,implies(C,A)))).
% 18.51/18.71  2253 [hyper,319,1,43] {-} is_a_theorem(implies(implies(not(A),not(B)),implies(C,implies(B,A)))).
% 18.51/18.71  2291 [hyper,2251,1,319] {+} is_a_theorem(implies(A,implies(B,implies(C,B)))).
% 18.51/18.71  2319 [hyper,2253,1,319] {-} is_a_theorem(implies(A,implies(implies(not(B),not(C)),implies(C,B)))).
% 18.51/18.71  2357 [hyper,2291,1,17] {+} is_a_theorem(implies(implies(implies(A,B),C),implies(B,C))).
% 18.51/18.71  2472 [hyper,2319,1,2319] {-} is_a_theorem(implies(implies(not(A),not(B)),implies(B,A))).
% 18.51/18.71  2519 [hyper,2472,1,208] {-} is_a_theorem(implies(implies(implies(A,A),not(B)),implies(B,C))).
% 18.51/18.71  3247 [hyper,2357,1,2519] {+} is_a_theorem(implies(not(A),implies(A,B))).
% 18.51/18.71  3276 [hyper,3247,1,319] {-} is_a_theorem(implies(A,implies(not(not(B)),B))).
% 18.51/18.71  3293 [hyper,3276,1,3276] {+} is_a_theorem(implies(not(not(A)),A)).
% 18.51/18.71  3340 [hyper,3293,1,2472] {+} is_a_theorem(implies(A,not(not(A)))).
% 18.51/18.71  3362 [hyper,3340,1,2357] {+} is_a_theorem(implies(A,not(not(implies(B,A))))).
% 18.51/18.71  3948 [hyper,3362,1,2472] {-} is_a_theorem(implies(not(implies(A,not(B))),B)).
% 18.51/18.71  4149 [hyper,3948,1,3] {-} is_a_theorem(implies(implies(A,B),implies(not(implies(C,not(A))),B))).
% 18.51/18.71  5731 [hyper,4149,1,3362] {-} is_a_theorem(implies(not(implies(A,not(B))),not(not(implies(C,B))))).
% 18.51/18.71  6783 [hyper,5731,1,2472] {-} is_a_theorem(implies(not(implies(A,B)),implies(C,not(B)))).
% 18.51/18.71  6824 [hyper,6783,1,319] {-} is_a_theorem(implies(A,implies(not(implies(B,C)),not(C)))).
% 18.51/18.71  6866 [hyper,6824,1,6824] {-} is_a_theorem(implies(not(implies(A,B)),not(B))).
% 18.51/18.71  6867 [binary,6866.1,2.1] {+} $F.
% 18.51/18.71  
% 18.51/18.71  % SZS output end Refutation
% 18.51/18.71  ------------ end of proof -------------
% 18.51/18.71  
% 18.51/18.71  
% 18.51/18.71  Search stopped by max_proofs option.
% 18.51/18.71  
% 18.51/18.71  
% 18.51/18.71  Search stopped by max_proofs option.
% 18.51/18.71  
% 18.51/18.71  ============ end of search ============
% 18.51/18.71  
% 18.51/18.71  ----------- soft-scott stats ----------
% 18.51/18.71  
% 18.51/18.71  true clauses given          65      (26.9%)
% 18.51/18.71  false clauses given        177
% 18.51/18.71  
% 18.51/18.71        FALSE     TRUE
% 18.51/18.71     9  0         5
% 18.51/18.71    10  0         37
% 18.51/18.71    11  0         43
% 18.51/18.71    12  8         92
% 18.51/18.71    13  74        149
% 18.51/18.71    14  115       200
% 18.51/18.71    15  166       294
% 18.51/18.71    16  230       334
% 18.51/18.71    17  184       377
% 18.51/18.71    18  173       357
% 18.51/18.71    19  192       333
% 18.51/18.71    20  186       281
% 18.51/18.71    21  134       4
% 18.51/18.71    22  67        2
% 18.51/18.71    23  64        2
% 18.51/18.71    24  56        2
% 18.51/18.71    25  48        3
% 18.51/18.71    26  47        1
% 18.51/18.71    27  37        0
% 18.51/18.71    28  16        1
% 18.51/18.71    29  33        0
% 18.51/18.71    30  26        1
% 18.51/18.71    31  6         1
% 18.51/18.71    32  26        0
% 18.51/18.71    33  2         0
% 18.51/18.71    34  5         1
% 18.51/18.71    35  1         0
% 18.51/18.71    36  2         0
% 18.51/18.71    37  3         1
% 18.51/18.71    38  1         0
% 18.51/18.71    40  2         1
% 18.51/18.71  tot:  1904      2522      (57.0% true)
% 18.51/18.71  
% 18.51/18.71  
% 18.51/18.71  Model 10 [ 1 1 4966 ] (0.00 seconds, 250000 Inserts)
% 18.51/18.71  
% 18.51/18.71  That finishes the proof of the theorem.
% 18.51/18.71  
% 18.51/18.71  Process 28547 finished Mon Jul  4 12:27:09 2022
%------------------------------------------------------------------------------