TSTP Solution File: LCL211-3 by SOS---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SOS---2.0
% Problem  : LCL211-3 : TPTP v8.1.0. Released v2.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : sos-script %s

% Computer : n007.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 14:28:43 EDT 2022

% Result   : Unsatisfiable 6.97s 7.16s
% Output   : Refutation 6.97s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : LCL211-3 : TPTP v8.1.0. Released v2.3.0.
% 0.07/0.13  % Command  : sos-script %s
% 0.12/0.34  % Computer : n007.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 : Sat Jul  2 14:43:25 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.12/0.36  ----- Otter 3.2, August 2001 -----
% 0.12/0.36  The process was started by sandbox2 on n007.cluster.edu,
% 0.12/0.36  Sat Jul  2 14:43:25 2022
% 0.12/0.36  The command was "./sos".  The process ID is 4422.
% 0.12/0.36  
% 0.12/0.36  set(prolog_style_variables).
% 0.12/0.36  set(auto).
% 0.12/0.36     dependent: set(auto1).
% 0.12/0.36     dependent: set(process_input).
% 0.12/0.36     dependent: clear(print_kept).
% 0.12/0.36     dependent: clear(print_new_demod).
% 0.12/0.36     dependent: clear(print_back_demod).
% 0.12/0.36     dependent: clear(print_back_sub).
% 0.12/0.36     dependent: set(control_memory).
% 0.12/0.36     dependent: assign(max_mem, 12000).
% 0.12/0.36     dependent: assign(pick_given_ratio, 4).
% 0.12/0.36     dependent: assign(stats_level, 1).
% 0.12/0.36     dependent: assign(pick_semantic_ratio, 3).
% 0.12/0.36     dependent: assign(sos_limit, 5000).
% 0.12/0.36     dependent: assign(max_weight, 60).
% 0.12/0.36  clear(print_given).
% 0.12/0.36  
% 0.12/0.36  list(usable).
% 0.12/0.36  
% 0.12/0.36  SCAN INPUT: prop=0, horn=1, equality=1, symmetry=0, max_lits=3.
% 0.12/0.36  
% 0.12/0.36  This is a Horn set with equality.  The strategy will be
% 0.12/0.36  Knuth-Bendix and hyper_res, with positive clauses in
% 0.12/0.36  sos and nonpositive clauses in usable.
% 0.12/0.36  
% 0.12/0.36     dependent: set(knuth_bendix).
% 0.12/0.36     dependent: set(para_from).
% 0.12/0.36     dependent: set(para_into).
% 0.12/0.36     dependent: clear(para_from_right).
% 0.12/0.36     dependent: clear(para_into_right).
% 0.12/0.36     dependent: set(para_from_vars).
% 0.12/0.36     dependent: set(eq_units_both_ways).
% 0.12/0.36     dependent: set(dynamic_demod_all).
% 0.12/0.36     dependent: set(dynamic_demod).
% 0.12/0.36     dependent: set(order_eq).
% 0.12/0.36     dependent: set(back_demod).
% 0.12/0.36     dependent: set(lrpo).
% 0.12/0.36     dependent: set(hyper_res).
% 0.12/0.36     dependent: clear(order_hyper).
% 0.12/0.36  
% 0.12/0.36  ------------> process usable:
% 0.12/0.36  
% 0.12/0.36  ------------> process sos:
% 0.12/0.36    Following clause subsumed by 12 during input processing: 0 [copy,12,flip.1] {-} A=A.
% 0.12/0.36  
% 0.12/0.36  ======= end of input processing =======
% 0.19/0.40  
% 0.19/0.40  Model 1 (0.00 seconds, 0 Inserts)
% 0.19/0.40  
% 0.19/0.40  Stopped by limit on number of solutions
% 0.19/0.40  
% 0.19/0.40  
% 0.19/0.40  -------------- Softie stats --------------
% 0.19/0.40  
% 0.19/0.40  UPDATE_STOP: 300
% 0.19/0.40  SFINDER_TIME_LIMIT: 2
% 0.19/0.40  SHORT_CLAUSE_CUTOFF: 4
% 0.19/0.40  number of clauses in intial UL: 3
% 0.19/0.40  number of clauses initially in problem: 11
% 0.19/0.40  percentage of clauses intially in UL: 27
% 0.19/0.40  percentage of distinct symbols occuring in initial UL: 87
% 0.19/0.40  percent of all initial clauses that are short: 100
% 0.19/0.40  absolute distinct symbol count: 8
% 0.19/0.40     distinct predicate count: 3
% 0.19/0.40     distinct function count: 3
% 0.19/0.40     distinct constant count: 2
% 0.19/0.40  
% 0.19/0.40  ---------- no more Softie stats ----------
% 0.19/0.40  
% 0.19/0.40  
% 0.19/0.40  
% 0.19/0.40  Model 2 (0.00 seconds, 0 Inserts)
% 0.19/0.40  
% 0.19/0.40  Stopped by limit on number of solutions
% 0.19/0.40  
% 0.19/0.40  =========== start of search ===========
% 5.29/5.47  
% 5.29/5.47  
% 5.29/5.47  Changing weight limit from 60 to 30.
% 5.29/5.47  
% 5.29/5.47  Model 3 (0.00 seconds, 0 Inserts)
% 5.29/5.47  
% 5.29/5.47  Stopped by limit on number of solutions
% 5.29/5.47  
% 5.29/5.47  Model 4 (0.00 seconds, 0 Inserts)
% 5.29/5.47  
% 5.29/5.47  Stopped by limit on number of solutions
% 5.29/5.47  
% 5.29/5.47  Stopped by limit on insertions
% 5.29/5.47  
% 5.29/5.47  Model 5 [ 1 3 15752 ] (0.00 seconds, 250000 Inserts)
% 5.29/5.47  
% 5.29/5.47  Stopped by limit on insertions
% 5.29/5.47  
% 5.29/5.47  Stopped by limit on insertions
% 5.29/5.47  
% 5.29/5.47  Model 6 [ 21 4 46067 ] (0.00 seconds, 250000 Inserts)
% 5.29/5.47  
% 5.29/5.47  Stopped by limit on insertions
% 5.29/5.47  
% 5.29/5.47  Model 7 [ 24 0 1801 ] (0.00 seconds, 250000 Inserts)
% 5.29/5.47  
% 5.29/5.47  Stopped by limit on insertions
% 5.29/5.47  
% 5.29/5.47  Model 8 [ 1 1 5035 ] (0.00 seconds, 250000 Inserts)
% 5.29/5.47  
% 5.29/5.47  Stopped by limit on insertions
% 5.29/5.47  
% 5.29/5.47  Model 9 [ 22 7 62435 ] (0.00 seconds, 250000 Inserts)
% 5.29/5.47  
% 5.29/5.47  Stopped by limit on insertions
% 5.29/5.47  
% 5.29/5.47  Model 10 [ 1 2 7190 ] (0.00 seconds, 250000 Inserts)
% 5.29/5.47  
% 5.29/5.47  Stopped by limit on insertions
% 5.29/5.47  
% 5.29/5.47  Resetting weight limit to 30 after 300 givens.
% 5.29/5.47  
% 5.29/5.53  
% 5.29/5.53  
% 5.29/5.53  Changing weight limit from 30 to 24.
% 5.29/5.53  
% 5.29/5.53  Resetting weight limit to 24 after 310 givens.
% 5.29/5.53  
% 5.41/5.62  
% 5.41/5.62  
% 5.41/5.62  Changing weight limit from 24 to 20.
% 5.41/5.62  
% 5.41/5.62  Resetting weight limit to 20 after 315 givens.
% 5.41/5.62  
% 5.46/5.64  
% 5.46/5.64  
% 5.46/5.64  Changing weight limit from 20 to 18.
% 5.46/5.64  
% 5.46/5.64  Resetting weight limit to 18 after 320 givens.
% 5.46/5.64  
% 6.19/6.43  
% 6.19/6.43  
% 6.19/6.43  Changing weight limit from 18 to 17.
% 6.19/6.43  
% 6.19/6.43  Stopped by limit on insertions
% 6.19/6.43  
% 6.19/6.43  Resetting weight limit to 17 after 340 givens.
% 6.19/6.43  
% 6.45/6.65  
% 6.45/6.65  
% 6.45/6.65  Changing weight limit from 17 to 16.
% 6.45/6.65  
% 6.45/6.65  Resetting weight limit to 16 after 375 givens.
% 6.45/6.65  
% 6.74/6.93  
% 6.74/6.93  
% 6.74/6.93  Changing weight limit from 16 to 15.
% 6.74/6.93  
% 6.74/6.93  Resetting weight limit to 15 after 440 givens.
% 6.74/6.93  
% 6.97/7.16  
% 6.97/7.16  -------- PROOF -------- 
% 6.97/7.16  % SZS status Unsatisfiable
% 6.97/7.16  % SZS output start Refutation
% 6.97/7.16  
% 6.97/7.16  ----> UNIT CONFLICT at   6.76 sec ----> 10913 [binary,10912.1,3.1] {-} $F.
% 6.97/7.16  
% 6.97/7.16  Length of proof is 26.  Level of proof is 12.
% 6.97/7.16  
% 6.97/7.16  ---------------- PROOF ----------------
% 6.97/7.16  % SZS status Unsatisfiable
% 6.97/7.16  % SZS output start Refutation
% 6.97/7.16  
% 6.97/7.16  1 [] {+} theorem(A)| -axiom(A).
% 6.97/7.16  2 [] {+} theorem(A)| -theorem(implies(B,A))| -theorem(B).
% 6.97/7.16  3 [] {+} -theorem(implies(not(q),implies(or(p,q),p))).
% 6.97/7.16  4 [] {+} axiom(implies(or(A,A),A)).
% 6.97/7.16  5 [] {+} axiom(implies(A,or(B,A))).
% 6.97/7.16  6 [] {+} axiom(implies(or(A,B),or(B,A))).
% 6.97/7.16  7 [] {-} axiom(implies(or(A,or(B,C)),or(B,or(A,C)))).
% 6.97/7.16  8 [] {-} axiom(implies(implies(A,B),implies(or(C,A),or(C,B)))).
% 6.97/7.16  9 [] {-} implies(A,B)=or(not(A),B).
% 6.97/7.16  11,10 [copy,9,flip.1] {+} or(not(A),B)=implies(A,B).
% 6.97/7.16  13 [hyper,4,1] {+} theorem(implies(or(A,A),A)).
% 6.97/7.16  14 [hyper,5,1] {+} theorem(implies(A,or(B,A))).
% 6.97/7.16  15 [hyper,6,1] {-} theorem(implies(or(A,B),or(B,A))).
% 6.97/7.16  20 [hyper,7,1] {-} theorem(implies(or(A,or(B,C)),or(B,or(A,C)))).
% 6.97/7.16  23 [para_into,15.1.1.1,10.1.1] {+} theorem(implies(implies(A,B),or(B,not(A)))).
% 6.97/7.16  24 [para_into,15.1.1.2,10.1.1] {-} theorem(implies(or(A,not(B)),implies(B,A))).
% 6.97/7.16  28 [hyper,8,1] {-} theorem(implies(implies(A,B),implies(or(C,A),or(C,B)))).
% 6.97/7.16  30 [para_into,20.1.1.1.2,10.1.1,demod,11] {-} theorem(implies(or(A,implies(B,C)),implies(B,or(A,C)))).
% 6.97/7.16  31 [para_into,20.1.1.1,10.1.1,demod,11] {-} theorem(implies(implies(A,or(B,C)),or(B,implies(A,C)))).
% 6.97/7.16  117 [hyper,28,2,24] {-} theorem(implies(or(A,or(B,not(C))),or(A,implies(C,B)))).
% 6.97/7.16  121 [hyper,28,2,14] {-} theorem(implies(or(A,B),or(A,or(C,B)))).
% 6.97/7.16  122 [hyper,28,2,13] {-} theorem(implies(or(A,or(B,B)),or(A,B))).
% 6.97/7.16  149 [para_into,122.1.1.1,10.1.1,demod,11] {+} theorem(implies(implies(A,or(B,B)),implies(A,B))).
% 6.97/7.16  193 [hyper,31,2,15] {+} theorem(or(A,implies(or(B,A),B))).
% 6.97/7.16  194 [hyper,31,2,14] {+} theorem(or(A,implies(B,B))).
% 6.97/7.16  199 [hyper,193,2,15] {+} theorem(or(implies(or(A,B),A),B)).
% 6.97/7.16  206 [hyper,194,2,13] {+} theorem(implies(A,A)).
% 6.97/7.16  211 [hyper,206,2,23] {+} theorem(or(A,not(A))).
% 6.97/7.16  217 [hyper,211,2,121] {+} theorem(or(A,or(B,not(A)))).
% 6.97/7.16  1023 [hyper,117,2,217] {+} theorem(or(A,implies(A,B))).
% 6.97/7.16  1036 [para_into,1023.1.1,10.1.1] {+} theorem(implies(A,implies(not(A),B))).
% 6.97/7.16  1491 [hyper,1036,2,28] {-} theorem(implies(or(A,B),or(A,implies(not(B),C)))).
% 6.97/7.16  2656 [hyper,199,2,1491] {-} theorem(or(implies(or(A,B),A),implies(not(B),C))).
% 6.97/7.16  6503 [hyper,2656,2,30] {-} theorem(implies(not(A),or(implies(or(B,A),B),C))).
% 6.97/7.16  10912 [hyper,149,2,6503] {-} theorem(implies(not(A),implies(or(B,A),B))).
% 6.97/7.16  10913 [binary,10912.1,3.1] {-} $F.
% 6.97/7.16  
% 6.97/7.16  % SZS output end Refutation
% 6.97/7.16  ------------ end of proof -------------
% 6.97/7.16  
% 6.97/7.16  
% 6.97/7.16  Search stopped by max_proofs option.
% 6.97/7.16  
% 6.97/7.16  
% 6.97/7.16  Search stopped by max_proofs option.
% 6.97/7.16  
% 6.97/7.16  ============ end of search ============
% 6.97/7.16  
% 6.97/7.16  ----------- soft-scott stats ----------
% 6.97/7.16  
% 6.97/7.16  true clauses given         174      (37.3%)
% 6.97/7.16  false clauses given        292
% 6.97/7.16  
% 6.97/7.16        FALSE     TRUE
% 6.97/7.16     8  0         17
% 6.97/7.16     9  0         118
% 6.97/7.16    10  0         396
% 6.97/7.16    11  55        411
% 6.97/7.16    12  486       983
% 6.97/7.16    13  784       681
% 6.97/7.16    14  911       13
% 6.97/7.16    15  472       14
% 6.97/7.16  tot:  2708      2633      (49.3% true)
% 6.97/7.16  
% 6.97/7.16  
% 6.97/7.16  Model 10 [ 1 -170 7190 ] (0.00 seconds, 250000 Inserts)
% 6.97/7.16  
% 6.97/7.16  That finishes the proof of the theorem.
% 6.97/7.16  
% 6.97/7.16  Process 4422 finished Sat Jul  2 14:43:32 2022
%------------------------------------------------------------------------------