TSTP Solution File: LCL097-1 by SOS---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SOS---2.0
% Problem  : LCL097-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : sos-script %s

% Computer : n016.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 14:27:54 EDT 2022

% Result   : Unsatisfiable 0.40s 0.59s
% Output   : Refutation 0.40s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : LCL097-1 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.13  % Command  : sos-script %s
% 0.12/0.34  % Computer : n016.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 : Mon Jul  4 06:40:31 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.12/0.35  ----- Otter 3.2, August 2001 -----
% 0.12/0.35  The process was started by sandbox on n016.cluster.edu,
% 0.12/0.35  Mon Jul  4 06:40:31 2022
% 0.12/0.35  The command was "./sos".  The process ID is 11429.
% 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 =======
% 0.20/0.38  
% 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: 4
% 0.20/0.38  percentage of clauses intially in UL: 50
% 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: 7
% 0.20/0.38     distinct predicate count: 1
% 0.20/0.38     distinct function count: 1
% 0.20/0.38     distinct constant count: 5
% 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 ===========
% 0.40/0.59  
% 0.40/0.59  -------- PROOF -------- 
% 0.40/0.59  % SZS status Unsatisfiable
% 0.40/0.59  % SZS output start Refutation
% 0.40/0.59  
% 0.40/0.59  Model 2 (0.00 seconds, 0 Inserts)
% 0.40/0.59  
% 0.40/0.59  Stopped by limit on number of solutions
% 0.40/0.59  
% 0.40/0.59  Model 3 (0.00 seconds, 0 Inserts)
% 0.40/0.59  
% 0.40/0.59  Stopped by limit on number of solutions
% 0.40/0.59  
% 0.40/0.59  Model 4 (0.00 seconds, 0 Inserts)
% 0.40/0.59  
% 0.40/0.59  Stopped by limit on number of solutions
% 0.40/0.59  
% 0.40/0.59  ----> UNIT CONFLICT at   0.20 sec ----> 1317 [binary,1316.1,2.1] {-} $F.
% 0.40/0.59  
% 0.40/0.59  Length of proof is 8.  Level of proof is 6.
% 0.40/0.59  
% 0.40/0.59  ---------------- PROOF ----------------
% 0.40/0.59  % SZS status Unsatisfiable
% 0.40/0.59  % SZS output start Refutation
% 0.40/0.59  
% 0.40/0.59  1 [] {+} -is_a_theorem(equivalent(A,B))| -is_a_theorem(A)|is_a_theorem(B).
% 0.40/0.59  2 [] {+} -is_a_theorem(equivalent(equivalent(equivalent(equivalent(a,b),c),e),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))).
% 0.40/0.59  3 [] {-} is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(A,B),equivalent(A,C)),equivalent(B,C)),D),D)).
% 0.40/0.59  4 [] {-} is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(A,B),equivalent(A,C)),D),equivalent(equivalent(B,C),D)),E),E)).
% 0.40/0.59  5 [hyper,4,1,4] {-} is_a_theorem(equivalent(equivalent(equivalent(A,B),C),equivalent(equivalent(D,B),equivalent(equivalent(A,D),C)))).
% 0.40/0.59  6 [hyper,4,1,3] {+} is_a_theorem(equivalent(equivalent(A,B),equivalent(A,B))).
% 0.40/0.59  8 [hyper,6,1,3] {-} is_a_theorem(equivalent(equivalent(equivalent(A,B),equivalent(A,C)),equivalent(B,C))).
% 0.40/0.59  9 [hyper,8,1,6] {+} is_a_theorem(equivalent(A,A)).
% 0.40/0.59  12 [hyper,5,1,4] {-} is_a_theorem(equivalent(equivalent(A,B),equivalent(equivalent(equivalent(equivalent(C,D),equivalent(C,E)),A),equivalent(equivalent(D,E),B)))).
% 0.40/0.59  14 [hyper,5,1,9] {-} is_a_theorem(equivalent(equivalent(A,B),equivalent(equivalent(C,A),equivalent(C,B)))).
% 0.40/0.59  28 [hyper,14,1,4] {-} is_a_theorem(equivalent(equivalent(A,equivalent(equivalent(equivalent(B,C),equivalent(B,D)),E)),equivalent(A,equivalent(equivalent(C,D),E)))).
% 0.40/0.59  1316 [hyper,28,1,12] {-} is_a_theorem(equivalent(equivalent(equivalent(equivalent(A,B),C),D),equivalent(equivalent(equivalent(A,E),C),equivalent(equivalent(B,E),D)))).
% 0.40/0.59  1317 [binary,1316.1,2.1] {-} $F.
% 0.40/0.59  
% 0.40/0.59  % SZS output end Refutation
% 0.40/0.59  ------------ end of proof -------------
% 0.40/0.59  
% 0.40/0.59  
% 0.40/0.59  Search stopped by max_proofs option.
% 0.40/0.59  
% 0.40/0.59  
% 0.40/0.59  Search stopped by max_proofs option.
% 0.40/0.59  
% 0.40/0.59  ============ end of search ============
% 0.40/0.59  
% 0.40/0.59  ----------- soft-scott stats ----------
% 0.40/0.59  
% 0.40/0.59  true clauses given           8      (14.3%)
% 0.40/0.59  false clauses given         48
% 0.40/0.59  
% 0.40/0.59        FALSE     TRUE
% 0.40/0.59    16  77        30
% 0.40/0.59    20  325       58
% 0.40/0.59    24  446       0
% 0.40/0.59    28  199       0
% 0.40/0.59    32  73        0
% 0.40/0.59    36  13        0
% 0.40/0.59    40  2         0
% 0.40/0.59  tot:  1135      88      (7.2% true)
% 0.40/0.59  
% 0.40/0.59  
% 0.40/0.59  Model 4 (0.00 seconds, 0 Inserts)
% 0.40/0.59  
% 0.40/0.59  That finishes the proof of the theorem.
% 0.40/0.59  
% 0.40/0.59  Process 11429 finished Mon Jul  4 06:40:32 2022
%------------------------------------------------------------------------------