TSTP Solution File: LCL405-1 by SOS---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SOS---2.0
% Problem  : LCL405-1 : TPTP v8.1.0. Released v2.3.0.
% 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 14:29:58 EDT 2022

% Result   : Unsatisfiable 27.15s 27.33s
% Output   : Refutation 27.15s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : LCL405-1 : TPTP v8.1.0. Released v2.3.0.
% 0.06/0.13  % 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 17:02:17 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.13/0.35  ----- Otter 3.2, August 2001 -----
% 0.13/0.35  The process was started by sandbox on n021.cluster.edu,
% 0.13/0.35  Mon Jul  4 17:02:17 2022
% 0.13/0.35  The command was "./sos".  The process ID is 22900.
% 0.13/0.35  
% 0.13/0.35  set(prolog_style_variables).
% 0.13/0.35  set(auto).
% 0.13/0.35     dependent: set(auto1).
% 0.13/0.35     dependent: set(process_input).
% 0.13/0.35     dependent: clear(print_kept).
% 0.13/0.35     dependent: clear(print_new_demod).
% 0.13/0.35     dependent: clear(print_back_demod).
% 0.13/0.35     dependent: clear(print_back_sub).
% 0.13/0.35     dependent: set(control_memory).
% 0.13/0.35     dependent: assign(max_mem, 12000).
% 0.13/0.35     dependent: assign(pick_given_ratio, 4).
% 0.13/0.35     dependent: assign(stats_level, 1).
% 0.13/0.35     dependent: assign(pick_semantic_ratio, 3).
% 0.13/0.35     dependent: assign(sos_limit, 5000).
% 0.13/0.35     dependent: assign(max_weight, 60).
% 0.13/0.35  clear(print_given).
% 0.13/0.35  
% 0.13/0.35  list(usable).
% 0.13/0.35  
% 0.13/0.35  SCAN INPUT: prop=0, horn=1, equality=0, symmetry=0, max_lits=3.
% 0.13/0.35  
% 0.13/0.35  This is a Horn set without equality.  The strategy will
% 0.13/0.35  be hyperresolution, with satellites in sos and nuclei
% 0.13/0.35  in usable.
% 0.13/0.35  
% 0.13/0.35     dependent: set(hyper_res).
% 0.13/0.35     dependent: clear(order_hyper).
% 0.13/0.35  
% 0.13/0.35  ------------> process usable:
% 0.13/0.35  
% 0.13/0.35  ------------> process sos:
% 0.13/0.35  
% 0.13/0.35  ======= end of input processing =======
% 0.13/0.38  
% 0.13/0.38  Model 1 (0.00 seconds, 0 Inserts)
% 0.13/0.38  
% 0.13/0.38  Stopped by limit on number of solutions
% 0.13/0.38  
% 0.13/0.38  
% 0.13/0.38  -------------- Softie stats --------------
% 0.13/0.38  
% 0.13/0.38  UPDATE_STOP: 300
% 0.13/0.38  SFINDER_TIME_LIMIT: 2
% 0.13/0.38  SHORT_CLAUSE_CUTOFF: 4
% 0.13/0.38  number of clauses in intial UL: 2
% 0.13/0.38  number of clauses initially in problem: 5
% 0.13/0.38  percentage of clauses intially in UL: 40
% 0.13/0.38  percentage of distinct symbols occuring in initial UL: 100
% 0.13/0.38  percent of all initial clauses that are short: 100
% 0.13/0.38  absolute distinct symbol count: 5
% 0.13/0.38     distinct predicate count: 1
% 0.13/0.38     distinct function count: 2
% 0.13/0.38     distinct constant count: 2
% 0.13/0.38  
% 0.13/0.38  ---------- no more Softie stats ----------
% 0.13/0.38  
% 0.13/0.38  
% 0.13/0.38  
% 0.13/0.38  =========== start of search ===========
% 26.85/27.09  
% 26.85/27.09  
% 26.85/27.09  Changing weight limit from 60 to 58.
% 26.85/27.09  
% 26.85/27.09  Model 2 (0.00 seconds, 0 Inserts)
% 26.85/27.09  
% 26.85/27.09  Stopped by limit on number of solutions
% 26.85/27.09  
% 26.85/27.09  Model 3 (0.00 seconds, 0 Inserts)
% 26.85/27.09  
% 26.85/27.09  Stopped by limit on number of solutions
% 26.85/27.09  
% 26.85/27.09  Stopped by limit on insertions
% 26.85/27.09  
% 26.85/27.09  Model 4 [ 1 1 171 ] (0.00 seconds, 250000 Inserts)
% 26.85/27.09  
% 26.85/27.09  Stopped by limit on insertions
% 26.85/27.09  
% 26.85/27.09  Model 5 [ 1 0 75 ] (0.00 seconds, 250000 Inserts)
% 26.85/27.09  
% 26.85/27.09  Stopped by limit on insertions
% 26.85/27.09  
% 26.85/27.09  Model 6 [ 1 1 227 ] (0.00 seconds, 250000 Inserts)
% 26.85/27.09  
% 26.85/27.09  Stopped by limit on insertions
% 26.85/27.09  
% 26.85/27.09  Model 7 [ 2 1 3270 ] (0.00 seconds, 250000 Inserts)
% 26.85/27.09  
% 26.85/27.09  Stopped by limit on insertions
% 26.85/27.09  
% 26.85/27.09  Model 8 [ 2 0 333 ] (0.00 seconds, 250000 Inserts)
% 26.85/27.09  
% 26.85/27.09  Stopped by limit on insertions
% 26.85/27.09  
% 26.85/27.09  Model 9 [ 3 0 54 ] (0.00 seconds, 250000 Inserts)
% 26.85/27.09  
% 26.85/27.09  Resetting weight limit to 58 after 145 givens.
% 26.85/27.09  
% 27.15/27.33  
% 27.15/27.33  -- HEY sandbox, WE HAVE A PROOF!! -- 
% 27.15/27.33  
% 27.15/27.33  ----> UNIT CONFLICT at  26.93 sec ----> 5713 [binary,5712.1,2.1] {-} $F.
% 27.15/27.33  
% 27.15/27.33  Length of proof is 35.  Level of proof is 23.
% 27.15/27.33  
% 27.15/27.33  ---------------- PROOF ----------------
% 27.15/27.33  % SZS status Unsatisfiable
% 27.15/27.33  % SZS output start Refutation
% 27.15/27.33  
% 27.15/27.33  1 [] {+} -is_a_theorem(implies(A,B))| -is_a_theorem(A)|is_a_theorem(B).
% 27.15/27.33  2 [] {+} -is_a_theorem(not(implies(implies(x,x),not(implies(y,y))))).
% 27.15/27.33  3 [] {-} is_a_theorem(implies(implies(A,B),implies(implies(B,C),implies(A,C)))).
% 27.15/27.33  4 [] {+} is_a_theorem(implies(implies(not(A),A),A)).
% 27.15/27.33  5 [] {+} is_a_theorem(implies(A,implies(not(A),B))).
% 27.15/27.33  6 [hyper,3,1,3] {+} is_a_theorem(implies(implies(implies(implies(A,B),implies(C,B)),D),implies(implies(C,A),D))).
% 27.15/27.33  7 [hyper,4,1,3] {-} is_a_theorem(implies(implies(A,B),implies(implies(not(A),A),B))).
% 27.15/27.33  9 [hyper,5,1,3] {-} is_a_theorem(implies(implies(implies(not(A),B),C),implies(A,C))).
% 27.15/27.33  13 [hyper,9,1,3] {+} is_a_theorem(implies(implies(implies(A,B),C),implies(implies(implies(not(A),D),B),C))).
% 27.15/27.33  15 [hyper,9,1,4] {+} is_a_theorem(implies(A,A)).
% 27.15/27.33  17 [hyper,15,1,5] {+} is_a_theorem(implies(not(implies(A,A)),B)).
% 27.15/27.33  18 [hyper,6,1,6] {+} is_a_theorem(implies(implies(A,implies(B,C)),implies(implies(D,B),implies(A,implies(D,C))))).
% 27.15/27.33  26 [hyper,7,1,9] {-} is_a_theorem(implies(A,implies(implies(not(not(A)),not(A)),B))).
% 27.15/27.33  30 [hyper,7,1,3] {-} is_a_theorem(implies(implies(implies(implies(not(A),A),B),C),implies(implies(A,B),C))).
% 27.15/27.33  45 [hyper,26,1,3] {-} is_a_theorem(implies(implies(implies(implies(not(not(A)),not(A)),B),C),implies(A,C))).
% 27.15/27.33  95 [hyper,30,1,6] {-} is_a_theorem(implies(implies(A,implies(not(B),B)),implies(implies(B,C),implies(A,C)))).
% 27.15/27.33  105 [hyper,45,1,6] {-} is_a_theorem(implies(implies(A,implies(not(not(B)),not(B))),implies(B,implies(A,C)))).
% 27.15/27.33  166 [hyper,105,1,17] {+} is_a_theorem(implies(A,implies(not(implies(B,B)),C))).
% 27.15/27.33  298 [hyper,166,1,95] {+} is_a_theorem(implies(implies(implies(A,A),B),implies(C,B))).
% 27.15/27.33  658 [hyper,298,1,7] {-} is_a_theorem(implies(A,implies(implies(not(B),B),B))).
% 27.15/27.33  684 [hyper,658,1,18] {-} is_a_theorem(implies(implies(A,implies(not(B),B)),implies(C,implies(A,B)))).
% 27.15/27.33  774 [hyper,684,1,684] {-} is_a_theorem(implies(A,implies(implies(B,implies(not(C),C)),implies(B,C)))).
% 27.15/27.33  927 [hyper,774,1,774] {-} is_a_theorem(implies(implies(A,implies(not(B),B)),implies(A,B))).
% 27.15/27.33  946 [hyper,927,1,927] {-} is_a_theorem(implies(implies(not(A),implies(not(A),A)),A)).
% 27.15/27.33  962 [hyper,927,1,13] {-} is_a_theorem(implies(implies(implies(not(A),B),implies(not(C),C)),implies(A,C))).
% 27.15/27.33  963 [hyper,927,1,6] {-} is_a_theorem(implies(implies(not(A),B),implies(implies(B,A),A))).
% 27.15/27.33  965 [hyper,927,1,298] {+} is_a_theorem(implies(implies(implies(A,A),B),B)).
% 27.15/27.33  985 [hyper,946,1,13] {-} is_a_theorem(implies(implies(implies(not(not(A)),B),implies(not(A),A)),A)).
% 27.15/27.33  1295 [hyper,985,1,6] {-} is_a_theorem(implies(implies(not(A),not(not(A))),A)).
% 27.15/27.33  1330 [hyper,1295,1,3] {-} is_a_theorem(implies(implies(A,B),implies(implies(not(A),not(not(A))),B))).
% 27.15/27.33  1508 [hyper,1330,1,298] {-} is_a_theorem(implies(A,implies(implies(not(B),not(not(B))),B))).
% 27.15/27.33  1580 [hyper,1508,1,963] {-} is_a_theorem(implies(implies(implies(implies(not(A),not(not(A))),A),B),B)).
% 27.15/27.33  1711 [hyper,1580,1,6] {-} is_a_theorem(implies(implies(A,implies(not(B),not(not(B)))),implies(A,B))).
% 27.15/27.33  2890 [hyper,962,1,6] {-} is_a_theorem(implies(implies(not(A),not(B)),implies(B,A))).
% 27.15/27.33  2894 [hyper,2890,1,1711] {-} is_a_theorem(implies(implies(not(not(not(A))),not(not(A))),A)).
% 27.15/27.33  2957 [hyper,2894,1,9] {+} is_a_theorem(implies(not(not(A)),A)).
% 27.15/27.33  3136 [hyper,2957,1,3] {-} is_a_theorem(implies(implies(A,B),implies(not(not(A)),B))).
% 27.15/27.33  4046 [hyper,3136,1,965] {-} is_a_theorem(implies(not(not(implies(implies(A,A),B))),B)).
% 27.15/27.33  5099 [hyper,4046,1,2890] {-} is_a_theorem(implies(A,not(implies(implies(B,B),not(A))))).
% 27.15/27.33  5712 [hyper,5099,1,965] {-} is_a_theorem(not(implies(implies(A,A),not(implies(B,B))))).
% 27.15/27.33  5713 [binary,5712.1,2.1] {-} $F.
% 27.15/27.33  
% 27.15/27.33  % SZS output end Refutation
% 27.15/27.33  ------------ end of proof -------------
% 27.15/27.33  
% 27.15/27.33  
% 27.15/27.33  Search stopped by max_proofs option.
% 27.15/27.33  
% 27.15/27.33  
% 27.15/27.33  Search stopped by max_proofs option.
% 27.15/27.33  
% 27.15/27.33  ============ end of search ============
% 27.15/27.33  
% 27.15/27.33  ----------- soft-scott stats ----------
% 27.15/27.33  
% 27.15/27.33  true clauses given          49      (26.2%)
% 27.15/27.33  false clauses given        138
% 27.15/27.33  
% 27.15/27.33        FALSE     TRUE
% 27.15/27.33     8  0         1
% 27.15/27.33     9  0         7
% 27.15/27.33    10  1         34
% 27.15/27.33    11  56        24
% 27.15/27.33    12  100       59
% 27.15/27.33    13  136       20
% 27.15/27.33    14  152       36
% 27.15/27.33    15  201       69
% 27.15/27.33    16  204       43
% 27.15/27.33    17  228       60
% 27.15/27.33    18  269       43
% 27.15/27.33    19  259       52
% 27.15/27.33    20  232       33
% 27.15/27.33    21  210       54
% 27.15/27.33    22  189       23
% 27.15/27.33    23  248       27
% 27.15/27.33    24  38        25
% 27.15/27.33    25  0         24
% 27.15/27.33    26  1         9
% 27.15/27.33    27  3         22
% 27.15/27.33    28  1         11
% 27.15/27.33    29  2         20
% 27.15/27.33    30  2         21
% 27.15/27.33    31  1         22
% 27.15/27.33    32  0         7
% 27.15/27.33    33  2         8
% 27.15/27.33    34  0         4
% 27.15/27.33    35  0         4
% 27.15/27.33    36  0         5
% 27.15/27.33    37  2         12
% 27.15/27.33    38  0         7
% 27.15/27.33    39  2         4
% 27.15/27.33    40  0         2
% 27.15/27.33    41  0         2
% 27.15/27.33    43  0         1
% 27.15/27.33    44  0         1
% 27.15/27.33    45  0         1
% 27.15/27.33    46  0         1
% 27.15/27.33    47  0         2
% 27.15/27.33    49  1         4
% 27.15/27.33    51  0         1
% 27.15/27.33    53  0         2
% 27.15/27.33    58  0         1
% 27.15/27.33  tot:  2540      808      (24.1% true)
% 27.15/27.33  
% 27.15/27.33  
% 27.15/27.33  Model 9 [ 3 0 54 ] (0.00 seconds, 250000 Inserts)
% 27.15/27.33  
% 27.15/27.33  That finishes the proof of the theorem.
% 27.15/27.33  
% 27.15/27.33  Process 22900 finished Mon Jul  4 17:02:44 2022
%------------------------------------------------------------------------------