TSTP Solution File: LCL092-1 by SOS---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SOS---2.0
% Problem  : LCL092-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : sos-script %s

% Computer : n028.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 14:27:52 EDT 2022

% Result   : Unsatisfiable 1.82s 1.99s
% Output   : Refutation 1.82s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : LCL092-1 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.13  % Command  : sos-script %s
% 0.14/0.33  % Computer : n028.cluster.edu
% 0.14/0.33  % Model    : x86_64 x86_64
% 0.14/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.33  % Memory   : 8042.1875MB
% 0.14/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.33  % CPULimit : 300
% 0.14/0.33  % WCLimit  : 600
% 0.14/0.33  % DateTime : Sun Jul  3 01:14:02 EDT 2022
% 0.14/0.34  % CPUTime  : 
% 0.14/0.35  ----- Otter 3.2, August 2001 -----
% 0.14/0.35  The process was started by sandbox on n028.cluster.edu,
% 0.14/0.35  Sun Jul  3 01:14:02 2022
% 0.14/0.35  The command was "./sos".  The process ID is 19917.
% 0.14/0.35  
% 0.14/0.35  set(prolog_style_variables).
% 0.14/0.35  set(auto).
% 0.14/0.35     dependent: set(auto1).
% 0.14/0.35     dependent: set(process_input).
% 0.14/0.35     dependent: clear(print_kept).
% 0.14/0.35     dependent: clear(print_new_demod).
% 0.14/0.35     dependent: clear(print_back_demod).
% 0.14/0.35     dependent: clear(print_back_sub).
% 0.14/0.35     dependent: set(control_memory).
% 0.14/0.35     dependent: assign(max_mem, 12000).
% 0.14/0.35     dependent: assign(pick_given_ratio, 4).
% 0.14/0.35     dependent: assign(stats_level, 1).
% 0.14/0.35     dependent: assign(pick_semantic_ratio, 3).
% 0.14/0.35     dependent: assign(sos_limit, 5000).
% 0.14/0.35     dependent: assign(max_weight, 60).
% 0.14/0.35  clear(print_given).
% 0.14/0.35  
% 0.14/0.35  list(usable).
% 0.14/0.35  
% 0.14/0.35  SCAN INPUT: prop=0, horn=1, equality=0, symmetry=0, max_lits=3.
% 0.14/0.35  
% 0.14/0.35  This is a Horn set without equality.  The strategy will
% 0.14/0.35  be hyperresolution, with satellites in sos and nuclei
% 0.14/0.35  in usable.
% 0.14/0.35  
% 0.14/0.35     dependent: set(hyper_res).
% 0.14/0.35     dependent: clear(order_hyper).
% 0.14/0.35  
% 0.14/0.35  ------------> process usable:
% 0.14/0.35  
% 0.14/0.35  ------------> process sos:
% 0.14/0.35  
% 0.14/0.35  ======= end of input processing =======
% 0.20/0.38  
% 0.20/0.38  Model 1 (0.00 seconds, 0 Inserts)
% 0.20/0.38  
% 0.20/0.38  Stopped by limit on number of solutions
% 0.20/0.38  
% 0.20/0.38  
% 0.20/0.38  -------------- Softie stats --------------
% 0.20/0.38  
% 0.20/0.38  UPDATE_STOP: 300
% 0.20/0.38  SFINDER_TIME_LIMIT: 2
% 0.20/0.38  SHORT_CLAUSE_CUTOFF: 4
% 0.20/0.38  number of clauses in intial UL: 2
% 0.20/0.38  number of clauses initially in problem: 3
% 0.20/0.38  percentage of clauses intially in UL: 66
% 0.20/0.38  percentage of distinct symbols occuring in initial UL: 100
% 0.20/0.38  percent of all initial clauses that are short: 100
% 0.20/0.38  absolute distinct symbol count: 4
% 0.20/0.38     distinct predicate count: 1
% 0.20/0.38     distinct function count: 1
% 0.20/0.38     distinct constant count: 2
% 0.20/0.38  
% 0.20/0.38  ---------- no more Softie stats ----------
% 0.20/0.38  
% 0.20/0.38  
% 0.20/0.38  
% 0.20/0.38  =========== start of search ===========
% 1.82/1.99  
% 1.82/1.99  -------- PROOF -------- 
% 1.82/1.99  % SZS status Unsatisfiable
% 1.82/1.99  % SZS output start Refutation
% 1.82/1.99  
% 1.82/1.99  Model 2 (0.00 seconds, 0 Inserts)
% 1.82/1.99  
% 1.82/1.99  Stopped by limit on number of solutions
% 1.82/1.99  
% 1.82/1.99  Model 3 (0.00 seconds, 0 Inserts)
% 1.82/1.99  
% 1.82/1.99  Stopped by limit on number of solutions
% 1.82/1.99  
% 1.82/1.99  Model 4 (0.00 seconds, 0 Inserts)
% 1.82/1.99  
% 1.82/1.99  Stopped by limit on number of solutions
% 1.82/1.99  
% 1.82/1.99  Model 5 (0.00 seconds, 0 Inserts)
% 1.82/1.99  
% 1.82/1.99  Stopped by limit on number of solutions
% 1.82/1.99  
% 1.82/1.99  ----> UNIT CONFLICT at   1.60 sec ----> 581 [binary,580.1,2.1] {+} $F.
% 1.82/1.99  
% 1.82/1.99  Length of proof is 24.  Level of proof is 21.
% 1.82/1.99  
% 1.82/1.99  ---------------- PROOF ----------------
% 1.82/1.99  % SZS status Unsatisfiable
% 1.82/1.99  % SZS output start Refutation
% 1.82/1.99  
% 1.82/1.99  1 [] {+} -is_a_theorem(implies(A,B))| -is_a_theorem(A)|is_a_theorem(B).
% 1.82/1.99  2 [] {+} -is_a_theorem(implies(implies(implies(a,b),a),a)).
% 1.82/1.99  3 [] {-} is_a_theorem(implies(implies(implies(A,B),implies(C,D)),implies(implies(D,A),implies(E,implies(C,A))))).
% 1.82/1.99  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))))).
% 1.82/1.99  5 [hyper,4,1,4] {-} is_a_theorem(implies(A,implies(implies(B,C),implies(C,implies(implies(D,E),implies(E,C)))))).
% 1.82/1.99  7 [hyper,5,1,5] {-} is_a_theorem(implies(implies(A,B),implies(B,implies(implies(C,D),implies(D,B))))).
% 1.82/1.99  11 [hyper,7,1,3] {-} is_a_theorem(implies(implies(implies(implies(A,B),implies(B,C)),D),implies(E,implies(C,D)))).
% 1.82/1.99  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)))))).
% 1.82/1.99  21 [hyper,11,1,3] {-} is_a_theorem(implies(A,implies(B,implies(implies(B,C),implies(D,implies(E,C)))))).
% 1.82/1.99  54 [hyper,18,1,3] {-} is_a_theorem(implies(A,implies(B,implies(implies(C,D),implies(D,implies(D,D)))))).
% 1.82/1.99  56 [hyper,21,1,21] {-} is_a_theorem(implies(A,implies(implies(A,B),implies(C,implies(D,B))))).
% 1.82/1.99  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)))).
% 1.82/1.99  106 [hyper,54,1,54] {-} is_a_theorem(implies(A,implies(implies(B,C),implies(C,implies(C,C))))).
% 1.82/1.99  109 [hyper,106,1,106] {-} is_a_theorem(implies(implies(A,B),implies(B,implies(B,B)))).
% 1.82/1.99  114 [hyper,109,1,3] {-} is_a_theorem(implies(implies(implies(A,A),B),implies(C,implies(A,B)))).
% 1.82/1.99  122 [hyper,114,1,3] {-} is_a_theorem(implies(implies(implies(A,B),implies(A,A)),implies(C,implies(D,implies(A,A))))).
% 1.82/1.99  371 [hyper,122,1,114] {-} is_a_theorem(implies(A,implies(B,implies(implies(C,C),implies(C,C))))).
% 1.82/1.99  378 [hyper,371,1,371] {+} is_a_theorem(implies(A,implies(implies(B,B),implies(B,B)))).
% 1.82/1.99  387 [hyper,378,1,378] {+} is_a_theorem(implies(implies(A,A),implies(A,A))).
% 1.82/1.99  400 [hyper,387,1,122] {+} is_a_theorem(implies(A,implies(B,implies(C,C)))).
% 1.82/1.99  402 [hyper,400,1,400] {+} is_a_theorem(implies(A,implies(B,B))).
% 1.82/1.99  451 [hyper,402,1,3] {+} is_a_theorem(implies(implies(A,B),implies(C,implies(A,B)))).
% 1.82/1.99  525 [hyper,451,1,3] {-} is_a_theorem(implies(implies(implies(A,B),A),implies(C,implies(D,A)))).
% 1.82/1.99  548 [hyper,525,1,63] {-} is_a_theorem(implies(A,implies(B,implies(C,implies(implies(implies(D,E),D),D))))).
% 1.82/1.99  553 [hyper,548,1,548] {-} is_a_theorem(implies(A,implies(B,implies(implies(implies(C,D),C),C)))).
% 1.82/1.99  577 [hyper,553,1,553] {-} is_a_theorem(implies(A,implies(implies(implies(B,C),B),B))).
% 1.82/1.99  580 [hyper,577,1,577] {-} is_a_theorem(implies(implies(implies(A,B),A),A)).
% 1.82/1.99  581 [binary,580.1,2.1] {+} $F.
% 1.82/1.99  
% 1.82/1.99  % SZS output end Refutation
% 1.82/1.99  ------------ end of proof -------------
% 1.82/1.99  
% 1.82/1.99  
% 1.82/1.99  Search stopped by max_proofs option.
% 1.82/1.99  
% 1.82/1.99  
% 1.82/1.99  Search stopped by max_proofs option.
% 1.82/1.99  
% 1.82/1.99  ============ end of search ============
% 1.82/1.99  
% 1.82/1.99  ----------- soft-scott stats ----------
% 1.82/1.99  
% 1.82/1.99  true clauses given           8      (9.6%)
% 1.82/1.99  false clauses given         75
% 1.82/1.99  
% 1.82/1.99        FALSE     TRUE
% 1.82/1.99    10  0         1
% 1.82/1.99    12  0         3
% 1.82/1.99    14  0         6
% 1.82/1.99    16  3         11
% 1.82/1.99    18  5         20
% 1.82/1.99    20  13        24
% 1.82/1.99    22  14        29
% 1.82/1.99    24  13        31
% 1.82/1.99    26  16        21
% 1.82/1.99    28  10        13
% 1.82/1.99    30  6         8
% 1.82/1.99    32  5         3
% 1.82/1.99    34  7         1
% 1.82/1.99    36  3         2
% 1.82/1.99    38  4         1
% 1.82/1.99    40  3         0
% 1.82/1.99    42  2         0
% 1.82/1.99  tot:  104       174      (62.6% true)
% 1.82/1.99  
% 1.82/1.99  
% 1.82/1.99  Model 5 (0.00 seconds, 0 Inserts)
% 1.82/1.99  
% 1.82/1.99  That finishes the proof of the theorem.
% 1.82/1.99  
% 1.82/1.99  Process 19917 finished Sun Jul  3 01:14:04 2022
%------------------------------------------------------------------------------