TSTP Solution File: LCL102-1 by SOS---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SOS---2.0
% Problem  : LCL102-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : sos-script %s

% Computer : n015.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 14:27:55 EDT 2022

% Result   : Unsatisfiable 1.42s 1.60s
% Output   : Refutation 1.42s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : LCL102-1 : TPTP v8.1.0. Released v1.0.0.
% 0.11/0.12  % Command  : sos-script %s
% 0.12/0.34  % Computer : n015.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 14:31:46 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 sandbox2 on n015.cluster.edu,
% 0.12/0.35  Mon Jul  4 14:31:46 2022
% 0.12/0.35  The command was "./sos".  The process ID is 6276.
% 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 =======
% 0.12/0.38  
% 0.12/0.38  Model 1 (0.00 seconds, 0 Inserts)
% 0.12/0.38  
% 0.12/0.38  Stopped by limit on number of solutions
% 0.12/0.38  
% 0.12/0.38  
% 0.12/0.38  -------------- Softie stats --------------
% 0.12/0.38  
% 0.12/0.38  UPDATE_STOP: 300
% 0.12/0.38  SFINDER_TIME_LIMIT: 2
% 0.12/0.38  SHORT_CLAUSE_CUTOFF: 4
% 0.12/0.38  number of clauses in intial UL: 2
% 0.12/0.38  number of clauses initially in problem: 5
% 0.12/0.38  percentage of clauses intially in UL: 40
% 0.12/0.38  percentage of distinct symbols occuring in initial UL: 100
% 0.12/0.38  percent of all initial clauses that are short: 100
% 0.12/0.38  absolute distinct symbol count: 6
% 0.12/0.38     distinct predicate count: 1
% 0.12/0.38     distinct function count: 1
% 0.12/0.38     distinct constant count: 4
% 0.12/0.38  
% 0.12/0.38  ---------- no more Softie stats ----------
% 0.12/0.38  
% 0.12/0.38  
% 0.12/0.38  
% 0.12/0.38  =========== start of search ===========
% 1.11/1.34  
% 1.11/1.34  
% 1.11/1.34  Changing weight limit from 60 to 32.
% 1.11/1.34  
% 1.11/1.34  Model 2 (0.00 seconds, 0 Inserts)
% 1.11/1.34  
% 1.11/1.34  Stopped by limit on number of solutions
% 1.11/1.34  
% 1.11/1.34  Model 3 (0.00 seconds, 0 Inserts)
% 1.11/1.34  
% 1.11/1.34  Stopped by limit on number of solutions
% 1.11/1.34  
% 1.11/1.34  Resetting weight limit to 32 after 85 givens.
% 1.11/1.34  
% 1.25/1.49  
% 1.25/1.49  
% 1.25/1.49  Changing weight limit from 32 to 28.
% 1.25/1.49  
% 1.25/1.49  Resetting weight limit to 28 after 100 givens.
% 1.25/1.49  
% 1.42/1.60  
% 1.42/1.60  -------- PROOF -------- 
% 1.42/1.60  % SZS status Unsatisfiable
% 1.42/1.60  % SZS output start Refutation
% 1.42/1.60  
% 1.42/1.60  ----> UNIT CONFLICT at   1.22 sec ----> 4113 [binary,4112.1,2.1] {-} $F.
% 1.42/1.60  
% 1.42/1.60  Length of proof is 9.  Level of proof is 5.
% 1.42/1.60  
% 1.42/1.60  ---------------- PROOF ----------------
% 1.42/1.60  % SZS status Unsatisfiable
% 1.42/1.60  % SZS output start Refutation
% 1.42/1.60  
% 1.42/1.60  1 [] {+} -is_a_theorem(equivalent(A,B))| -is_a_theorem(A)|is_a_theorem(B).
% 1.42/1.60  2 [] {+} -is_a_theorem(equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))).
% 1.42/1.60  3 [] {-} is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(A,B),equivalent(A,C)),equivalent(B,C)),D),D)).
% 1.42/1.60  4 [] {-} is_a_theorem(equivalent(A,equivalent(equivalent(B,C),equivalent(equivalent(C,B),A)))).
% 1.42/1.60  5 [] {-} is_a_theorem(equivalent(equivalent(A,B),equivalent(equivalent(C,A),equivalent(C,B)))).
% 1.42/1.60  9 [hyper,5,1,5] {-} is_a_theorem(equivalent(equivalent(A,equivalent(B,C)),equivalent(A,equivalent(equivalent(D,B),equivalent(D,C))))).
% 1.42/1.60  11 [hyper,5,1,3] {-} is_a_theorem(equivalent(equivalent(A,equivalent(equivalent(B,C),equivalent(B,D))),equivalent(A,equivalent(C,D)))).
% 1.42/1.60  12 [hyper,5,1,4] {-} is_a_theorem(equivalent(equivalent(A,B),equivalent(A,equivalent(equivalent(C,D),equivalent(equivalent(D,C),B))))).
% 1.42/1.60  23 [hyper,11,1,5] {-} is_a_theorem(equivalent(equivalent(A,equivalent(B,equivalent(equivalent(C,D),equivalent(C,E)))),equivalent(A,equivalent(B,equivalent(D,E))))).
% 1.42/1.60  26 [hyper,11,1,9] {-} is_a_theorem(equivalent(equivalent(equivalent(equivalent(A,B),C),equivalent(B,D)),equivalent(C,equivalent(A,D)))).
% 1.42/1.60  95 [hyper,12,1,11] {-} is_a_theorem(equivalent(equivalent(equivalent(equivalent(A,B),C),D),equivalent(C,equivalent(equivalent(B,A),D)))).
% 1.42/1.60  265 [hyper,26,1,3] {-} is_a_theorem(equivalent(equivalent(equivalent(A,B),C),equivalent(equivalent(equivalent(D,A),equivalent(D,B)),C))).
% 1.42/1.60  1019 [hyper,265,1,95] {-} is_a_theorem(equivalent(A,equivalent(equivalent(B,C),equivalent(equivalent(equivalent(D,C),equivalent(D,B)),A)))).
% 1.42/1.60  4112 [hyper,1019,1,23] {-} is_a_theorem(equivalent(equivalent(equivalent(A,B),C),equivalent(equivalent(D,B),equivalent(equivalent(A,D),C)))).
% 1.42/1.60  4113 [binary,4112.1,2.1] {-} $F.
% 1.42/1.60  
% 1.42/1.60  % SZS output end Refutation
% 1.42/1.60  ------------ end of proof -------------
% 1.42/1.60  
% 1.42/1.60  
% 1.42/1.60  Search stopped by max_proofs option.
% 1.42/1.60  
% 1.42/1.60  
% 1.42/1.60  Search stopped by max_proofs option.
% 1.42/1.60  
% 1.42/1.60  ============ end of search ============
% 1.42/1.60  
% 1.42/1.60  ----------- soft-scott stats ----------
% 1.42/1.60  
% 1.42/1.60  true clauses given          14      (12.7%)
% 1.42/1.60  false clauses given         96
% 1.42/1.60  
% 1.42/1.60        FALSE     TRUE
% 1.42/1.60    12  0         2
% 1.42/1.60    16  137       38
% 1.42/1.60    20  815       45
% 1.42/1.60    24  1270      0
% 1.42/1.60    28  278       0
% 1.42/1.60  tot:  2500      85      (3.3% true)
% 1.42/1.60  
% 1.42/1.60  
% 1.42/1.60  Model 3 (0.00 seconds, 0 Inserts)
% 1.42/1.60  
% 1.42/1.60  That finishes the proof of the theorem.
% 1.42/1.60  
% 1.42/1.60  Process 6276 finished Mon Jul  4 14:31:47 2022
%------------------------------------------------------------------------------