TSTP Solution File: LCL366-1 by SOS---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SOS---2.0
% Problem  : LCL366-1 : TPTP v8.1.0. Bugfixed v5.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : sos-script %s

% Computer : n029.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 14:29:43 EDT 2022

% Result   : Unsatisfiable 2.10s 2.29s
% Output   : Refutation 2.10s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : LCL366-1 : TPTP v8.1.0. Bugfixed v5.5.0.
% 0.11/0.13  % Command  : sos-script %s
% 0.12/0.34  % Computer : n029.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 600
% 0.12/0.34  % DateTime : Sun Jul  3 12:19:10 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.12/0.36  ----- Otter 3.2, August 2001 -----
% 0.12/0.36  The process was started by sandbox2 on n029.cluster.edu,
% 0.12/0.36  Sun Jul  3 12:19:10 2022
% 0.12/0.36  The command was "./sos".  The process ID is 31434.
% 0.12/0.36  
% 0.12/0.36  set(prolog_style_variables).
% 0.12/0.36  set(auto).
% 0.12/0.36     dependent: set(auto1).
% 0.12/0.36     dependent: set(process_input).
% 0.12/0.36     dependent: clear(print_kept).
% 0.12/0.36     dependent: clear(print_new_demod).
% 0.12/0.36     dependent: clear(print_back_demod).
% 0.12/0.36     dependent: clear(print_back_sub).
% 0.12/0.36     dependent: set(control_memory).
% 0.12/0.36     dependent: assign(max_mem, 12000).
% 0.12/0.36     dependent: assign(pick_given_ratio, 4).
% 0.12/0.36     dependent: assign(stats_level, 1).
% 0.12/0.36     dependent: assign(pick_semantic_ratio, 3).
% 0.12/0.36     dependent: assign(sos_limit, 5000).
% 0.12/0.36     dependent: assign(max_weight, 60).
% 0.12/0.36  clear(print_given).
% 0.12/0.36  
% 0.12/0.36  list(usable).
% 0.12/0.36  
% 0.12/0.36  SCAN INPUT: prop=0, horn=1, equality=0, symmetry=0, max_lits=3.
% 0.12/0.36  
% 0.12/0.36  This is a Horn set without equality.  The strategy will
% 0.12/0.36  be hyperresolution, with satellites in sos and nuclei
% 0.12/0.36  in usable.
% 0.12/0.36  
% 0.12/0.36     dependent: set(hyper_res).
% 0.12/0.36     dependent: clear(order_hyper).
% 0.12/0.36  
% 0.12/0.36  ------------> process usable:
% 0.12/0.36  
% 0.12/0.36  ------------> process sos:
% 0.12/0.36  
% 0.12/0.36  ======= end of input processing =======
% 0.19/0.38  
% 0.19/0.38  Model 1 (0.00 seconds, 0 Inserts)
% 0.19/0.38  
% 0.19/0.38  Stopped by limit on number of solutions
% 0.19/0.38  
% 0.19/0.38  
% 0.19/0.38  -------------- Softie stats --------------
% 0.19/0.38  
% 0.19/0.38  UPDATE_STOP: 300
% 0.19/0.38  SFINDER_TIME_LIMIT: 2
% 0.19/0.38  SHORT_CLAUSE_CUTOFF: 4
% 0.19/0.38  number of clauses in intial UL: 2
% 0.19/0.38  number of clauses initially in problem: 5
% 0.19/0.38  percentage of clauses intially in UL: 40
% 0.19/0.38  percentage of distinct symbols occuring in initial UL: 100
% 0.19/0.38  percent of all initial clauses that are short: 100
% 0.19/0.38  absolute distinct symbol count: 5
% 0.19/0.38     distinct predicate count: 1
% 0.19/0.38     distinct function count: 2
% 0.19/0.38     distinct constant count: 2
% 0.19/0.38  
% 0.19/0.38  ---------- no more Softie stats ----------
% 0.19/0.38  
% 0.19/0.38  
% 0.19/0.38  
% 0.19/0.38  =========== start of search ===========
% 2.10/2.29  
% 2.10/2.29  -------- PROOF -------- 
% 2.10/2.29  % SZS status Unsatisfiable
% 2.10/2.29  % SZS output start Refutation
% 2.10/2.29  
% 2.10/2.29  Model 2 (0.00 seconds, 0 Inserts)
% 2.10/2.29  
% 2.10/2.29  Stopped by limit on number of solutions
% 2.10/2.29  
% 2.10/2.29  Model 3 (0.00 seconds, 0 Inserts)
% 2.10/2.29  
% 2.10/2.29  Stopped by limit on number of solutions
% 2.10/2.29  
% 2.10/2.29  Model 4 (0.00 seconds, 0 Inserts)
% 2.10/2.29  
% 2.10/2.29  Stopped by limit on number of solutions
% 2.10/2.29  
% 2.10/2.29  Model 5 [ 1 0 295 ] (0.00 seconds, 208386 Inserts)
% 2.10/2.29  
% 2.10/2.29  ----> UNIT CONFLICT at   1.91 sec ----> 1180 [binary,1179.1,2.1] {-} $F.
% 2.10/2.29  
% 2.10/2.29  Length of proof is 16.  Level of proof is 11.
% 2.10/2.29  
% 2.10/2.29  ---------------- PROOF ----------------
% 2.10/2.29  % SZS status Unsatisfiable
% 2.10/2.29  % SZS output start Refutation
% 2.10/2.29  
% 2.10/2.29  1 [] {+} -is_a_theorem(implies(A,B))| -is_a_theorem(A)|is_a_theorem(B).
% 2.10/2.29  2 [] {+} -is_a_theorem(implies(implies(not(x),y),implies(implies(y,x),x))).
% 2.10/2.29  3 [] {-} is_a_theorem(implies(implies(A,B),implies(implies(B,C),implies(A,C)))).
% 2.10/2.29  4 [] {+} is_a_theorem(implies(implies(not(A),A),A)).
% 2.10/2.29  5 [] {+} is_a_theorem(implies(A,implies(not(A),B))).
% 2.10/2.29  6 [hyper,3,1,3] {-} is_a_theorem(implies(implies(implies(implies(A,B),implies(C,B)),D),implies(implies(C,A),D))).
% 2.10/2.29  7 [hyper,4,1,3] {-} is_a_theorem(implies(implies(A,B),implies(implies(not(A),A),B))).
% 2.10/2.29  9 [hyper,5,1,3] {-} is_a_theorem(implies(implies(implies(not(A),B),C),implies(A,C))).
% 2.10/2.29  12 [hyper,7,1,7] {+} is_a_theorem(implies(implies(not(implies(A,B)),implies(A,B)),implies(implies(not(A),A),B))).
% 2.10/2.29  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))).
% 2.10/2.29  29 [hyper,9,1,6] {-} is_a_theorem(implies(implies(A,not(B)),implies(B,implies(A,C)))).
% 2.10/2.29  34 [hyper,9,1,4] {+} is_a_theorem(implies(A,A)).
% 2.10/2.29  40 [hyper,29,1,9] {+} is_a_theorem(implies(A,implies(B,implies(not(A),C)))).
% 2.10/2.29  60 [hyper,40,1,3] {-} is_a_theorem(implies(implies(implies(A,implies(not(B),C)),D),implies(B,D))).
% 2.10/2.29  78 [hyper,60,1,3] {-} is_a_theorem(implies(A,implies(implies(implies(not(A),B),C),implies(D,C)))).
% 2.10/2.29  91 [hyper,78,1,34] {-} is_a_theorem(implies(implies(implies(not(implies(A,A)),B),C),implies(D,C))).
% 2.10/2.29  184 [hyper,12,1,91] {+} is_a_theorem(implies(A,implies(implies(not(B),B),B))).
% 2.10/2.29  280 [hyper,184,1,3] {-} is_a_theorem(implies(implies(implies(implies(not(A),A),A),B),implies(C,B))).
% 2.10/2.29  319 [hyper,280,1,6] {-} is_a_theorem(implies(implies(A,implies(not(B),B)),implies(C,implies(A,B)))).
% 2.10/2.29  810 [hyper,319,1,319] {-} is_a_theorem(implies(A,implies(implies(B,implies(not(C),C)),implies(B,C)))).
% 2.10/2.29  1179 [hyper,810,1,21] {-} is_a_theorem(implies(implies(not(A),B),implies(implies(B,A),A))).
% 2.10/2.29  1180 [binary,1179.1,2.1] {-} $F.
% 2.10/2.29  
% 2.10/2.29  % SZS output end Refutation
% 2.10/2.29  ------------ end of proof -------------
% 2.10/2.29  
% 2.10/2.29  
% 2.10/2.29  Search stopped by max_proofs option.
% 2.10/2.29  
% 2.10/2.29  
% 2.10/2.29  Search stopped by max_proofs option.
% 2.10/2.29  
% 2.10/2.29  ============ end of search ============
% 2.10/2.29  
% 2.10/2.29  ----------- soft-scott stats ----------
% 2.10/2.29  
% 2.10/2.29  true clauses given          26      (31.3%)
% 2.10/2.29  false clauses given         57
% 2.10/2.29  
% 2.10/2.29        FALSE     TRUE
% 2.10/2.29     6  0         1
% 2.10/2.29     9  0         1
% 2.10/2.29    10  0         3
% 2.10/2.29    11  0         13
% 2.10/2.29    12  0         24
% 2.10/2.29    13  5         29
% 2.10/2.29    14  6         48
% 2.10/2.29    15  23        56
% 2.10/2.29    16  12        82
% 2.10/2.29    17  25        85
% 2.10/2.29    18  9         86
% 2.10/2.29    19  17        77
% 2.10/2.29    20  13        65
% 2.10/2.29    21  23        34
% 2.10/2.29    22  8         46
% 2.10/2.29    23  18        26
% 2.10/2.29    24  17        22
% 2.10/2.29    25  17        13
% 2.10/2.29    26  8         13
% 2.10/2.29    27  9         7
% 2.10/2.29    28  10        13
% 2.10/2.29    29  8         5
% 2.10/2.29    30  4         10
% 2.10/2.29    31  12        2
% 2.10/2.29    32  2         7
% 2.10/2.29    33  3         1
% 2.10/2.29    34  0         21
% 2.10/2.29    36  0         12
% 2.10/2.29    37  1         1
% 2.10/2.29    38  0         4
% 2.10/2.29    39  1         1
% 2.10/2.29    40  1         4
% 2.10/2.29    42  0         2
% 2.10/2.29    46  0         1
% 2.10/2.29    48  0         1
% 2.10/2.29    49  1         0
% 2.10/2.29    51  1         0
% 2.10/2.29    52  1         0
% 2.10/2.29  tot:  255       816      (76.2% true)
% 2.10/2.29  
% 2.10/2.29  
% 2.10/2.29  Model 5 [ 1 0 295 ] (0.00 seconds, 208386 Inserts)
% 2.10/2.29  
% 2.10/2.29  That finishes the proof of the theorem.
% 2.10/2.29  
% 2.10/2.29  Process 31434 finished Sun Jul  3 12:19:12 2022
%------------------------------------------------------------------------------