TSTP Solution File: LCL095-1 by SOS---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SOS---2.0
% Problem  : LCL095-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : sos-script %s

% Computer : n017.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 14:27:53 EDT 2022

% Result   : Unsatisfiable 7.12s 7.38s
% Output   : Refutation 7.12s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem  : LCL095-1 : TPTP v8.1.0. Released v1.0.0.
% 0.10/0.13  % Command  : sos-script %s
% 0.13/0.34  % Computer : n017.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 : Sat Jul  2 11:58:55 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 n017.cluster.edu,
% 0.13/0.35  Sat Jul  2 11:58:55 2022
% 0.13/0.35  The command was "./sos".  The process ID is 16756.
% 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: 3
% 0.13/0.38  percentage of clauses intially in UL: 66
% 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: 4
% 0.13/0.38     distinct predicate count: 1
% 0.13/0.38     distinct function count: 1
% 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 ===========
% 7.12/7.38  
% 7.12/7.38  -------- PROOF -------- 
% 7.12/7.38  % SZS status Unsatisfiable
% 7.12/7.38  % SZS output start Refutation
% 7.12/7.38  
% 7.12/7.38  Model 2 (0.00 seconds, 0 Inserts)
% 7.12/7.38  
% 7.12/7.38  Stopped by limit on number of solutions
% 7.12/7.38  
% 7.12/7.38  Model 3 (0.00 seconds, 0 Inserts)
% 7.12/7.38  
% 7.12/7.38  Stopped by limit on number of solutions
% 7.12/7.38  
% 7.12/7.38  Model 4 (0.00 seconds, 0 Inserts)
% 7.12/7.38  
% 7.12/7.38  Stopped by limit on number of solutions
% 7.12/7.38  
% 7.12/7.38  Model 5 [ 1 4 11743 ] (0.00 seconds, 12248 Inserts)
% 7.12/7.38  
% 7.12/7.38  Model 6 [ 1 1 586 ] (0.00 seconds, 17676 Inserts)
% 7.12/7.38  
% 7.12/7.38  ----> UNIT CONFLICT at   6.97 sec ----> 2078 [binary,2077.1,2.1] {-} $F.
% 7.12/7.38  
% 7.12/7.38  Length of proof is 35.  Level of proof is 25.
% 7.12/7.38  
% 7.12/7.38  ---------------- PROOF ----------------
% 7.12/7.38  % SZS status Unsatisfiable
% 7.12/7.38  % SZS output start Refutation
% 7.12/7.38  
% 7.12/7.38  1 [] {+} -is_a_theorem(implies(A,B))| -is_a_theorem(A)|is_a_theorem(B).
% 7.12/7.38  2 [] {+} -is_a_theorem(implies(a,implies(implies(a,b),b))).
% 7.12/7.38  3 [] {-} is_a_theorem(implies(implies(implies(A,B),implies(C,D)),implies(implies(D,A),implies(E,implies(C,A))))).
% 7.12/7.38  4 [hyper,3,1,3] {-} is_a_theorem(implies(implies(implies(A,implies(B,C)),implies(C,D)),implies(E,implies(implies(F,C),implies(C,D))))).
% 7.12/7.38  5 [hyper,4,1,4] {-} is_a_theorem(implies(A,implies(implies(B,C),implies(C,implies(implies(D,E),implies(E,C)))))).
% 7.12/7.38  6 [hyper,4,1,3] {-} is_a_theorem(implies(implies(implies(implies(A,B),implies(B,C)),implies(D,implies(E,B))),implies(F,implies(G,implies(D,implies(E,B)))))).
% 7.12/7.38  7 [hyper,5,1,5] {-} is_a_theorem(implies(implies(A,B),implies(B,implies(implies(C,D),implies(D,B))))).
% 7.12/7.38  11 [hyper,7,1,3] {-} is_a_theorem(implies(implies(implies(implies(A,B),implies(B,C)),D),implies(E,implies(C,D)))).
% 7.12/7.38  18 [hyper,11,1,3] {-} is_a_theorem(implies(implies(implies(A,B),implies(implies(C,D),implies(D,A))),implies(E,implies(F,implies(implies(C,D),implies(D,A)))))).
% 7.12/7.38  21 [hyper,11,1,3] {-} is_a_theorem(implies(A,implies(B,implies(implies(B,C),implies(D,implies(E,C)))))).
% 7.12/7.38  23 [hyper,6,1,3] {-} is_a_theorem(implies(implies(implies(A,implies(B,implies(C,D))),implies(implies(E,D),implies(D,F))),implies(G,implies(H,implies(implies(E,D),implies(D,F)))))).
% 7.12/7.38  54 [hyper,18,1,3] {-} is_a_theorem(implies(A,implies(B,implies(implies(C,D),implies(D,implies(D,D)))))).
% 7.12/7.38  56 [hyper,21,1,21] {-} is_a_theorem(implies(A,implies(implies(A,B),implies(C,implies(D,B))))).
% 7.12/7.38  58 [hyper,21,1,3] {-} is_a_theorem(implies(implies(implies(implies(A,B),implies(C,implies(D,B))),E),implies(F,implies(A,E)))).
% 7.12/7.38  63 [hyper,56,1,3] {-} is_a_theorem(implies(implies(implies(A,implies(B,C)),D),implies(E,implies(implies(implies(D,F),C),D)))).
% 7.12/7.38  87 [hyper,23,1,3] {-} is_a_theorem(implies(A,implies(B,implies(implies(implies(C,D),D),implies(D,implies(E,D)))))).
% 7.12/7.38  106 [hyper,54,1,54] {-} is_a_theorem(implies(A,implies(implies(B,C),implies(C,implies(C,C))))).
% 7.12/7.38  109 [hyper,106,1,106] {-} is_a_theorem(implies(implies(A,B),implies(B,implies(B,B)))).
% 7.12/7.38  114 [hyper,109,1,3] {-} is_a_theorem(implies(implies(implies(A,A),B),implies(C,implies(A,B)))).
% 7.12/7.38  122 [hyper,114,1,3] {-} is_a_theorem(implies(implies(implies(A,B),implies(A,A)),implies(C,implies(D,implies(A,A))))).
% 7.12/7.38  272 [hyper,87,1,87] {-} is_a_theorem(implies(A,implies(implies(implies(B,C),C),implies(C,implies(D,C))))).
% 7.12/7.38  277 [hyper,272,1,272] {-} is_a_theorem(implies(implies(implies(A,B),B),implies(B,implies(C,B)))).
% 7.12/7.38  371 [hyper,122,1,114] {-} is_a_theorem(implies(A,implies(B,implies(implies(C,C),implies(C,C))))).
% 7.12/7.38  378 [hyper,371,1,371] {+} is_a_theorem(implies(A,implies(implies(B,B),implies(B,B)))).
% 7.12/7.38  387 [hyper,378,1,378] {+} is_a_theorem(implies(implies(A,A),implies(A,A))).
% 7.12/7.38  400 [hyper,387,1,122] {+} is_a_theorem(implies(A,implies(B,implies(C,C)))).
% 7.12/7.38  477 [hyper,400,1,400] {+} is_a_theorem(implies(A,implies(B,B))).
% 7.12/7.38  525 [hyper,477,1,3] {+} is_a_theorem(implies(implies(A,B),implies(C,implies(A,B)))).
% 7.12/7.38  704 [hyper,525,1,3] {-} is_a_theorem(implies(implies(implies(A,B),A),implies(C,implies(D,A)))).
% 7.12/7.38  733 [hyper,704,1,63] {-} is_a_theorem(implies(A,implies(B,implies(C,implies(implies(implies(D,E),D),D))))).
% 7.12/7.38  752 [hyper,733,1,733] {-} is_a_theorem(implies(A,implies(B,implies(implies(implies(C,D),C),C)))).
% 7.12/7.38  762 [hyper,752,1,752] {-} is_a_theorem(implies(A,implies(implies(implies(B,C),B),B))).
% 7.12/7.38  779 [hyper,762,1,762] {+} is_a_theorem(implies(implies(implies(A,B),A),A)).
% 7.12/7.38  781 [hyper,779,1,277] {+} is_a_theorem(implies(A,implies(B,A))).
% 7.12/7.38  785 [hyper,779,1,58] {-} is_a_theorem(implies(implies(A,B),implies(A,implies(C,B)))).
% 7.12/7.38  792 [hyper,785,1,781] {-} is_a_theorem(implies(A,implies(implies(B,C),implies(B,implies(D,C))))).
% 7.12/7.38  922 [hyper,792,1,3] {-} is_a_theorem(implies(implies(implies(A,implies(B,C)),D),implies(E,implies(implies(A,C),D)))).
% 7.12/7.38  2077 [hyper,922,1,779] {-} is_a_theorem(implies(A,implies(implies(A,B),B))).
% 7.12/7.38  2078 [binary,2077.1,2.1] {-} $F.
% 7.12/7.38  
% 7.12/7.38  % SZS output end Refutation
% 7.12/7.38  ------------ end of proof -------------
% 7.12/7.38  
% 7.12/7.38  
% 7.12/7.38  Search stopped by max_proofs option.
% 7.12/7.38  
% 7.12/7.38  
% 7.12/7.38  Search stopped by max_proofs option.
% 7.12/7.38  
% 7.12/7.38  ============ end of search ============
% 7.12/7.38  
% 7.12/7.38  ----------- soft-scott stats ----------
% 7.12/7.38  
% 7.12/7.38  true clauses given          21      (11.2%)
% 7.12/7.38  false clauses given        167
% 7.12/7.38  
% 7.12/7.38        FALSE     TRUE
% 7.12/7.38    16  46        5
% 7.12/7.38    18  113       3
% 7.12/7.38    20  180       3
% 7.12/7.38    22  209       3
% 7.12/7.38    24  234       3
% 7.12/7.38    26  232       2
% 7.12/7.38    28  160       0
% 7.12/7.39    30  88        0
% 7.12/7.39    32  53        0
% 7.12/7.39    34  54        0
% 7.12/7.39    36  29        0
% 7.12/7.39    38  41        0
% 7.12/7.39    40  24        0
% 7.12/7.39    42  30        0
% 7.12/7.39    44  13        0
% 7.12/7.39    46  8         0
% 7.12/7.39    48  4         0
% 7.12/7.39    50  1         0
% 7.12/7.39    52  2         0
% 7.12/7.39    54  1         0
% 7.12/7.39  tot:  1522      19      (1.2% true)
% 7.12/7.39  
% 7.12/7.39  
% 7.12/7.39  Model 6 [ 1 1 586 ] (0.00 seconds, 17676 Inserts)
% 7.12/7.39  
% 7.12/7.39  That finishes the proof of the theorem.
% 7.12/7.39  
% 7.12/7.39  Process 16756 finished Sat Jul  2 11:59:02 2022
%------------------------------------------------------------------------------