TSTP Solution File: LCL187-3 by SOS---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SOS---2.0
% Problem  : LCL187-3 : TPTP v8.1.0. Released v2.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : sos-script %s

% Computer : n011.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 14:28:28 EDT 2022

% Result   : Unsatisfiable 1.82s 2.05s
% Output   : Refutation 1.82s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.13  % Problem  : LCL187-3 : TPTP v8.1.0. Released v2.3.0.
% 0.13/0.14  % Command  : sos-script %s
% 0.15/0.35  % Computer : n011.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit : 300
% 0.15/0.35  % WCLimit  : 600
% 0.15/0.35  % DateTime : Mon Jul  4 10:33:51 EDT 2022
% 0.15/0.35  % CPUTime  : 
% 0.15/0.37  ----- Otter 3.2, August 2001 -----
% 0.15/0.37  The process was started by sandbox on n011.cluster.edu,
% 0.15/0.37  Mon Jul  4 10:33:51 2022
% 0.15/0.37  The command was "./sos".  The process ID is 26079.
% 0.15/0.37  
% 0.15/0.37  set(prolog_style_variables).
% 0.15/0.37  set(auto).
% 0.15/0.37     dependent: set(auto1).
% 0.15/0.37     dependent: set(process_input).
% 0.15/0.37     dependent: clear(print_kept).
% 0.15/0.37     dependent: clear(print_new_demod).
% 0.15/0.37     dependent: clear(print_back_demod).
% 0.15/0.37     dependent: clear(print_back_sub).
% 0.15/0.37     dependent: set(control_memory).
% 0.15/0.37     dependent: assign(max_mem, 12000).
% 0.15/0.37     dependent: assign(pick_given_ratio, 4).
% 0.15/0.37     dependent: assign(stats_level, 1).
% 0.15/0.37     dependent: assign(pick_semantic_ratio, 3).
% 0.15/0.37     dependent: assign(sos_limit, 5000).
% 0.15/0.37     dependent: assign(max_weight, 60).
% 0.15/0.37  clear(print_given).
% 0.15/0.37  
% 0.15/0.37  list(usable).
% 0.15/0.37  
% 0.15/0.37  SCAN INPUT: prop=0, horn=1, equality=1, symmetry=0, max_lits=3.
% 0.15/0.37  
% 0.15/0.37  This is a Horn set with equality.  The strategy will be
% 0.15/0.37  Knuth-Bendix and hyper_res, with positive clauses in
% 0.15/0.37  sos and nonpositive clauses in usable.
% 0.15/0.37  
% 0.15/0.37     dependent: set(knuth_bendix).
% 0.15/0.37     dependent: set(para_from).
% 0.15/0.37     dependent: set(para_into).
% 0.15/0.37     dependent: clear(para_from_right).
% 0.15/0.37     dependent: clear(para_into_right).
% 0.15/0.37     dependent: set(para_from_vars).
% 0.15/0.37     dependent: set(eq_units_both_ways).
% 0.15/0.37     dependent: set(dynamic_demod_all).
% 0.15/0.37     dependent: set(dynamic_demod).
% 0.15/0.37     dependent: set(order_eq).
% 0.15/0.37     dependent: set(back_demod).
% 0.15/0.37     dependent: set(lrpo).
% 0.15/0.37     dependent: set(hyper_res).
% 0.15/0.37     dependent: clear(order_hyper).
% 0.15/0.37  
% 0.15/0.37  ------------> process usable:
% 0.15/0.37  
% 0.15/0.37  ------------> process sos:
% 0.15/0.37    Following clause subsumed by 12 during input processing: 0 [copy,12,flip.1] {-} A=A.
% 0.15/0.37  
% 0.15/0.37  ======= end of input processing =======
% 0.15/0.41  
% 0.15/0.41  Model 1 (0.00 seconds, 0 Inserts)
% 0.15/0.41  
% 0.15/0.41  Stopped by limit on number of solutions
% 0.15/0.41  
% 0.15/0.41  
% 0.15/0.41  -------------- Softie stats --------------
% 0.15/0.41  
% 0.15/0.41  UPDATE_STOP: 300
% 0.15/0.41  SFINDER_TIME_LIMIT: 2
% 0.15/0.41  SHORT_CLAUSE_CUTOFF: 4
% 0.15/0.41  number of clauses in intial UL: 3
% 0.15/0.41  number of clauses initially in problem: 11
% 0.15/0.41  percentage of clauses intially in UL: 27
% 0.15/0.41  percentage of distinct symbols occuring in initial UL: 75
% 0.15/0.41  percent of all initial clauses that are short: 100
% 0.15/0.41  absolute distinct symbol count: 8
% 0.15/0.41     distinct predicate count: 3
% 0.15/0.41     distinct function count: 3
% 0.15/0.41     distinct constant count: 2
% 0.15/0.41  
% 0.15/0.41  ---------- no more Softie stats ----------
% 0.15/0.41  
% 0.15/0.41  
% 0.15/0.41  
% 0.15/0.41  Model 2 (0.00 seconds, 0 Inserts)
% 0.15/0.41  
% 0.15/0.41  Stopped by limit on number of solutions
% 0.15/0.41  
% 0.15/0.41  =========== start of search ===========
% 1.82/2.05  
% 1.82/2.05  -------- PROOF -------- 
% 1.82/2.05  % SZS status Unsatisfiable
% 1.82/2.05  % SZS output start Refutation
% 1.82/2.05  
% 1.82/2.05  Stopped by limit on insertions
% 1.82/2.05  
% 1.82/2.05  Stopped by limit on insertions
% 1.82/2.05  
% 1.82/2.05  Model 3 [ 12 0 154 ] (0.00 seconds, 250000 Inserts)
% 1.82/2.05  
% 1.82/2.05  Stopped by limit on insertions
% 1.82/2.05  
% 1.82/2.05  Stopped by limit on insertions
% 1.82/2.05  
% 1.82/2.05  Model 4 [ 1 1 1648 ] (0.00 seconds, 250000 Inserts)
% 1.82/2.05  
% 1.82/2.05  Stopped by limit on insertions
% 1.82/2.05  
% 1.82/2.05  Model 5 [ 1 2 21656 ] (0.00 seconds, 250000 Inserts)
% 1.82/2.05  
% 1.82/2.05  Stopped by limit on insertions
% 1.82/2.05  
% 1.82/2.05  Model 6 [ 21 9 119245 ] (0.00 seconds, 250000 Inserts)
% 1.82/2.05  
% 1.82/2.05  Stopped by limit on insertions
% 1.82/2.05  
% 1.82/2.05  Model 7 [ 1 20 226029 ] (0.00 seconds, 250000 Inserts)
% 1.82/2.05  
% 1.82/2.05  Stopped by limit on insertions
% 1.82/2.05  
% 1.82/2.05  Model 8 [ 2 0 113 ] (0.00 seconds, 250000 Inserts)
% 1.82/2.05  
% 1.82/2.05  ----> UNIT CONFLICT at   1.65 sec ----> 1024 [binary,1023.1,3.1] {-} $F.
% 1.82/2.05  
% 1.82/2.05  Length of proof is 17.  Level of proof is 9.
% 1.82/2.05  
% 1.82/2.05  ---------------- PROOF ----------------
% 1.82/2.05  % SZS status Unsatisfiable
% 1.82/2.05  % SZS output start Refutation
% 1.82/2.05  
% 1.82/2.05  1 [] {+} theorem(A)| -axiom(A).
% 1.82/2.05  2 [] {+} theorem(A)| -theorem(implies(B,A))| -theorem(B).
% 1.82/2.05  3 [] {+} -theorem(implies(p,implies(not(p),q))).
% 1.82/2.05  4 [] {+} axiom(implies(or(A,A),A)).
% 1.82/2.05  5 [] {-} axiom(implies(A,or(B,A))).
% 1.82/2.05  6 [] {-} axiom(implies(or(A,B),or(B,A))).
% 1.82/2.05  8 [] {-} axiom(implies(implies(A,B),implies(or(C,A),or(C,B)))).
% 1.82/2.05  9 [] {-} implies(A,B)=or(not(A),B).
% 1.82/2.05  11,10 [copy,9,flip.1] {+} or(not(A),B)=implies(A,B).
% 1.82/2.05  13 [hyper,4,1] {+} theorem(implies(or(A,A),A)).
% 1.82/2.05  14 [hyper,5,1] {+} theorem(implies(A,or(B,A))).
% 1.82/2.05  16 [hyper,6,1] {+} theorem(implies(or(A,B),or(B,A))).
% 1.82/2.05  26 [para_into,16.1.1.1,10.1.1] {+} theorem(implies(implies(A,B),or(B,not(A)))).
% 1.82/2.05  27 [para_into,16.1.1.2,10.1.1] {-} theorem(implies(or(A,not(B)),implies(B,A))).
% 1.82/2.05  31 [hyper,8,1] {+} theorem(implies(implies(A,B),implies(or(C,A),or(C,B)))).
% 1.82/2.05  171 [hyper,31,2,27] {-} theorem(implies(or(A,or(B,not(C))),or(A,implies(C,B)))).
% 1.82/2.05  177 [hyper,31,2,13] {-} theorem(implies(or(A,or(B,B)),or(A,B))).
% 1.82/2.05  468 [para_into,171.1.1.1,10.1.1,demod,11] {-} theorem(implies(implies(A,or(B,not(C))),implies(A,implies(C,B)))).
% 1.82/2.05  560 [hyper,468,2,14] {+} theorem(implies(not(A),implies(A,B))).
% 1.82/2.05  567 [hyper,560,2,31] {-} theorem(implies(or(A,not(B)),or(A,implies(B,C)))).
% 1.82/2.05  568 [hyper,560,2,26] {+} theorem(or(implies(A,B),not(not(A)))).
% 1.82/2.05  642 [hyper,177,2,468,demod,11] {-} theorem(implies(or(A,implies(B,not(B))),implies(B,A))).
% 1.82/2.05  982 [hyper,567,2,568] {-} theorem(or(implies(A,B),implies(not(A),C))).
% 1.82/2.05  996 [hyper,982,2,16] {-} theorem(or(implies(not(A),B),implies(A,C))).
% 1.82/2.05  1023 [hyper,642,2,996] {-} theorem(implies(A,implies(not(A),B))).
% 1.82/2.05  1024 [binary,1023.1,3.1] {-} $F.
% 1.82/2.05  
% 1.82/2.05  % SZS output end Refutation
% 1.82/2.05  ------------ end of proof -------------
% 1.82/2.05  
% 1.82/2.05  
% 1.82/2.05  Search stopped by max_proofs option.
% 1.82/2.05  
% 1.82/2.05  
% 1.82/2.05  Search stopped by max_proofs option.
% 1.82/2.05  
% 1.82/2.05  ============ end of search ============
% 1.82/2.05  
% 1.82/2.05  ----------- soft-scott stats ----------
% 1.82/2.05  
% 1.82/2.05  true clauses given          46      (32.2%)
% 1.82/2.05  false clauses given         97
% 1.82/2.05  
% 1.82/2.05        FALSE     TRUE
% 1.82/2.05     6  0         3
% 1.82/2.05     7  0         3
% 1.82/2.05     8  0         16
% 1.82/2.05     9  0         10
% 1.82/2.05    10  0         38
% 1.82/2.05    11  22        33
% 1.82/2.05    12  5         70
% 1.82/2.05    13  12        14
% 1.82/2.05    14  23        75
% 1.82/2.05    15  42        19
% 1.82/2.05    16  4         32
% 1.82/2.05    17  9         4
% 1.82/2.05    18  2         23
% 1.82/2.05    19  8         0
% 1.82/2.05    20  7         28
% 1.82/2.05    21  3         2
% 1.82/2.05    22  4         36
% 1.82/2.05    23  5         1
% 1.82/2.05    24  20        34
% 1.82/2.05    25  5         0
% 1.82/2.05    26  13        59
% 1.82/2.05    27  1         0
% 1.82/2.05    28  15        8
% 1.82/2.05    30  10        43
% 1.82/2.05    32  22        10
% 1.82/2.05    34  0         10
% 1.82/2.05    38  0         3
% 1.82/2.05    42  1         6
% 1.82/2.05    46  3         2
% 1.82/2.05    50  2         4
% 1.82/2.05    54  0         1
% 1.82/2.05    58  0         2
% 1.82/2.05  tot:  238       589      (71.2% true)
% 1.82/2.05  
% 1.82/2.05  
% 1.82/2.05  Model 8 [ 2 0 113 ] (0.00 seconds, 250000 Inserts)
% 1.82/2.05  
% 1.82/2.05  That finishes the proof of the theorem.
% 1.82/2.05  
% 1.82/2.05  Process 26079 finished Mon Jul  4 10:33:53 2022
%------------------------------------------------------------------------------