TSTP Solution File: LCL320-3 by SOS---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SOS---2.0
% Problem  : LCL320-3 : TPTP v8.1.0. Released v2.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : sos-script %s

% Computer : n013.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 14:29:29 EDT 2022

% Result   : Unsatisfiable 2.22s 2.43s
% Output   : Refutation 2.22s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13  % Problem  : LCL320-3 : TPTP v8.1.0. Released v2.3.0.
% 0.12/0.13  % Command  : sos-script %s
% 0.14/0.35  % Computer : n013.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 600
% 0.14/0.35  % DateTime : Sat Jul  2 11:20:44 EDT 2022
% 0.14/0.35  % CPUTime  : 
% 0.14/0.37  ----- Otter 3.2, August 2001 -----
% 0.14/0.37  The process was started by sandbox2 on n013.cluster.edu,
% 0.14/0.37  Sat Jul  2 11:20:44 2022
% 0.14/0.37  The command was "./sos".  The process ID is 8830.
% 0.14/0.37  
% 0.14/0.37  set(prolog_style_variables).
% 0.14/0.37  set(auto).
% 0.14/0.37     dependent: set(auto1).
% 0.14/0.37     dependent: set(process_input).
% 0.14/0.37     dependent: clear(print_kept).
% 0.14/0.37     dependent: clear(print_new_demod).
% 0.14/0.37     dependent: clear(print_back_demod).
% 0.14/0.37     dependent: clear(print_back_sub).
% 0.14/0.37     dependent: set(control_memory).
% 0.14/0.37     dependent: assign(max_mem, 12000).
% 0.14/0.37     dependent: assign(pick_given_ratio, 4).
% 0.14/0.37     dependent: assign(stats_level, 1).
% 0.14/0.37     dependent: assign(pick_semantic_ratio, 3).
% 0.14/0.37     dependent: assign(sos_limit, 5000).
% 0.14/0.37     dependent: assign(max_weight, 60).
% 0.14/0.37  clear(print_given).
% 0.14/0.37  
% 0.14/0.37  list(usable).
% 0.14/0.37  
% 0.14/0.37  SCAN INPUT: prop=0, horn=1, equality=1, symmetry=0, max_lits=3.
% 0.14/0.37  
% 0.14/0.37  This is a Horn set with equality.  The strategy will be
% 0.14/0.37  Knuth-Bendix and hyper_res, with positive clauses in
% 0.14/0.37  sos and nonpositive clauses in usable.
% 0.14/0.37  
% 0.14/0.37     dependent: set(knuth_bendix).
% 0.14/0.37     dependent: set(para_from).
% 0.14/0.37     dependent: set(para_into).
% 0.14/0.37     dependent: clear(para_from_right).
% 0.14/0.37     dependent: clear(para_into_right).
% 0.14/0.37     dependent: set(para_from_vars).
% 0.14/0.37     dependent: set(eq_units_both_ways).
% 0.14/0.37     dependent: set(dynamic_demod_all).
% 0.14/0.37     dependent: set(dynamic_demod).
% 0.14/0.37     dependent: set(order_eq).
% 0.14/0.37     dependent: set(back_demod).
% 0.14/0.37     dependent: set(lrpo).
% 0.14/0.37     dependent: set(hyper_res).
% 0.14/0.37     dependent: clear(order_hyper).
% 0.14/0.37  
% 0.14/0.37  ------------> process usable:
% 0.14/0.37  
% 0.14/0.37  ------------> process sos:
% 0.14/0.37    Following clause subsumed by 12 during input processing: 0 [copy,12,flip.1] {-} A=A.
% 0.14/0.37  
% 0.14/0.37  ======= end of input processing =======
% 0.14/0.40  
% 0.14/0.40  Model 1 (0.00 seconds, 0 Inserts)
% 0.14/0.40  
% 0.14/0.40  Stopped by limit on number of solutions
% 0.14/0.40  
% 0.14/0.40  
% 0.14/0.40  -------------- Softie stats --------------
% 0.14/0.40  
% 0.14/0.40  UPDATE_STOP: 300
% 0.14/0.40  SFINDER_TIME_LIMIT: 2
% 0.14/0.40  SHORT_CLAUSE_CUTOFF: 4
% 0.14/0.40  number of clauses in intial UL: 3
% 0.14/0.40  number of clauses initially in problem: 11
% 0.14/0.40  percentage of clauses intially in UL: 27
% 0.14/0.40  percentage of distinct symbols occuring in initial UL: 87
% 0.14/0.40  percent of all initial clauses that are short: 100
% 0.14/0.40  absolute distinct symbol count: 8
% 0.14/0.40     distinct predicate count: 3
% 0.14/0.40     distinct function count: 3
% 0.14/0.40     distinct constant count: 2
% 0.14/0.40  
% 0.14/0.40  ---------- no more Softie stats ----------
% 0.14/0.40  
% 0.14/0.40  
% 0.14/0.40  
% 0.14/0.40  Model 2 (0.00 seconds, 0 Inserts)
% 0.14/0.40  
% 0.14/0.40  Stopped by limit on number of solutions
% 0.14/0.40  
% 0.14/0.40  =========== start of search ===========
% 2.22/2.43  
% 2.22/2.43  -------- PROOF -------- 
% 2.22/2.43  % SZS status Unsatisfiable
% 2.22/2.43  % SZS output start Refutation
% 2.22/2.43  
% 2.22/2.43  Model 3 (0.00 seconds, 0 Inserts)
% 2.22/2.43  
% 2.22/2.43  Stopped by limit on number of solutions
% 2.22/2.43  
% 2.22/2.43  Model 4 (0.00 seconds, 0 Inserts)
% 2.22/2.43  
% 2.22/2.43  Stopped by limit on number of solutions
% 2.22/2.43  
% 2.22/2.43  Stopped by limit on insertions
% 2.22/2.43  
% 2.22/2.43  Stopped by limit on insertions
% 2.22/2.43  
% 2.22/2.43  Model 5 [ 1 1 556 ] (0.00 seconds, 250000 Inserts)
% 2.22/2.43  
% 2.22/2.43  Stopped by limit on insertions
% 2.22/2.43  
% 2.22/2.43  Model 6 [ 1 0 50 ] (0.00 seconds, 250000 Inserts)
% 2.22/2.43  
% 2.22/2.43  Stopped by limit on insertions
% 2.22/2.43  
% 2.22/2.43  Model 7 [ 1 1 290 ] (0.00 seconds, 250000 Inserts)
% 2.22/2.43  
% 2.22/2.43  Stopped by limit on insertions
% 2.22/2.43  
% 2.22/2.43  Model 8 [ 1 1 1494 ] (0.00 seconds, 250000 Inserts)
% 2.22/2.43  
% 2.22/2.43  Stopped by limit on insertions
% 2.22/2.43  
% 2.22/2.43  Model 9 [ 2 0 815 ] (0.00 seconds, 250000 Inserts)
% 2.22/2.43  
% 2.22/2.43  Stopped by limit on insertions
% 2.22/2.43  
% 2.22/2.43  Model 10 [ 2 2 6737 ] (0.00 seconds, 250000 Inserts)
% 2.22/2.43  
% 2.22/2.43  ----> UNIT CONFLICT at   2.04 sec ----> 414 [binary,413.1,3.1] {-} $F.
% 2.22/2.43  
% 2.22/2.43  Length of proof is 12.  Level of proof is 7.
% 2.22/2.43  
% 2.22/2.43  ---------------- PROOF ----------------
% 2.22/2.43  % SZS status Unsatisfiable
% 2.22/2.43  % SZS output start Refutation
% 2.22/2.43  
% 2.22/2.43  1 [] {+} theorem(A)| -axiom(A).
% 2.22/2.43  2 [] {+} theorem(A)| -theorem(implies(B,A))| -theorem(B).
% 2.22/2.43  3 [] {+} -theorem(or(implies(p,q),implies(not(p),q))).
% 2.22/2.43  5 [] {+} axiom(implies(A,or(B,A))).
% 2.22/2.43  6 [] {+} axiom(implies(or(A,B),or(B,A))).
% 2.22/2.43  8 [] {+} axiom(implies(implies(A,B),implies(or(C,A),or(C,B)))).
% 2.22/2.43  9 [] {-} implies(A,B)=or(not(A),B).
% 2.22/2.43  11,10 [copy,9,flip.1] {-} or(not(A),B)=implies(A,B).
% 2.22/2.43  14 [hyper,5,1] {+} theorem(implies(A,or(B,A))).
% 2.22/2.43  15 [hyper,6,1] {+} theorem(implies(or(A,B),or(B,A))).
% 2.22/2.43  24 [para_into,15.1.1.1,10.1.1] {+} theorem(implies(implies(A,B),or(B,not(A)))).
% 2.22/2.43  25 [para_into,15.1.1.2,10.1.1] {-} theorem(implies(or(A,not(B)),implies(B,A))).
% 2.22/2.43  28 [hyper,8,1] {+} theorem(implies(implies(A,B),implies(or(C,A),or(C,B)))).
% 2.22/2.43  155 [hyper,28,2,25] {-} theorem(implies(or(A,or(B,not(C))),or(A,implies(C,B)))).
% 2.22/2.43  168 [para_into,155.1.1.1,10.1.1,demod,11] {-} theorem(implies(implies(A,or(B,not(C))),implies(A,implies(C,B)))).
% 2.22/2.43  175 [hyper,168,2,14] {+} theorem(implies(not(A),implies(A,B))).
% 2.22/2.43  179 [hyper,175,2,28] {-} theorem(implies(or(A,not(B)),or(A,implies(B,C)))).
% 2.22/2.43  180 [hyper,175,2,24] {-} theorem(or(implies(A,B),not(not(A)))).
% 2.22/2.43  413 [hyper,179,2,180] {-} theorem(or(implies(A,B),implies(not(A),C))).
% 2.22/2.43  414 [binary,413.1,3.1] {-} $F.
% 2.22/2.43  
% 2.22/2.43  % SZS output end Refutation
% 2.22/2.43  ------------ end of proof -------------
% 2.22/2.43  
% 2.22/2.43  
% 2.22/2.43  Search stopped by max_proofs option.
% 2.22/2.43  
% 2.22/2.43  
% 2.22/2.43  Search stopped by max_proofs option.
% 2.22/2.43  
% 2.22/2.43  ============ end of search ============
% 2.22/2.43  
% 2.22/2.43  ----------- soft-scott stats ----------
% 2.22/2.43  
% 2.22/2.43  true clauses given          26      (31.0%)
% 2.22/2.43  false clauses given         58
% 2.22/2.43  
% 2.22/2.43        FALSE     TRUE
% 2.22/2.43     6  0         1
% 2.22/2.43     8  0         11
% 2.22/2.43     9  0         15
% 2.22/2.43    10  0         41
% 2.22/2.43    11  14        30
% 2.22/2.43    12  22        23
% 2.22/2.43    13  8         3
% 2.22/2.43    14  13        12
% 2.22/2.43    15  33        0
% 2.22/2.43    16  18        3
% 2.22/2.43    17  2         0
% 2.22/2.43    18  5         8
% 2.22/2.43    20  10        1
% 2.22/2.43    22  8         4
% 2.22/2.43    24  4         0
% 2.22/2.43    26  3         2
% 2.22/2.43    28  11        0
% 2.22/2.43    30  5         0
% 2.22/2.43  tot:  156       154      (49.7% true)
% 2.22/2.43  
% 2.22/2.43  
% 2.22/2.43  Model 10 [ 2 2 6737 ] (0.00 seconds, 250000 Inserts)
% 2.22/2.43  
% 2.22/2.43  That finishes the proof of the theorem.
% 2.22/2.43  
% 2.22/2.43  Process 8830 finished Sat Jul  2 11:20:46 2022
%------------------------------------------------------------------------------