TSTP Solution File: LCL113-1 by SOS---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SOS---2.0
% Problem  : LCL113-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : sos-script %s

% Computer : n027.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 14:28:01 EDT 2022

% Result   : Unsatisfiable 7.63s 7.84s
% Output   : Refutation 7.63s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : LCL113-1 : TPTP v8.1.0. Released v1.0.0.
% 0.11/0.13  % Command  : sos-script %s
% 0.13/0.34  % Computer : n027.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 600
% 0.13/0.34  % DateTime : Mon Jul  4 14:47:11 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.13/0.35  ----- Otter 3.2, August 2001 -----
% 0.13/0.35  The process was started by sandbox on n027.cluster.edu,
% 0.13/0.35  Mon Jul  4 14:47:11 2022
% 0.13/0.35  The command was "./sos".  The process ID is 27171.
% 0.13/0.35  
% 0.13/0.35  set(prolog_style_variables).
% 0.13/0.35  set(auto).
% 0.13/0.35     dependent: set(auto1).
% 0.13/0.35     dependent: set(process_input).
% 0.13/0.35     dependent: clear(print_kept).
% 0.13/0.35     dependent: clear(print_new_demod).
% 0.13/0.35     dependent: clear(print_back_demod).
% 0.13/0.35     dependent: clear(print_back_sub).
% 0.13/0.35     dependent: set(control_memory).
% 0.13/0.35     dependent: assign(max_mem, 12000).
% 0.13/0.35     dependent: assign(pick_given_ratio, 4).
% 0.13/0.35     dependent: assign(stats_level, 1).
% 0.13/0.35     dependent: assign(pick_semantic_ratio, 3).
% 0.13/0.35     dependent: assign(sos_limit, 5000).
% 0.13/0.35     dependent: assign(max_weight, 60).
% 0.13/0.35  clear(print_given).
% 0.13/0.35  
% 0.13/0.35  list(usable).
% 0.13/0.35  
% 0.13/0.35  SCAN INPUT: prop=0, horn=1, equality=0, symmetry=0, max_lits=3.
% 0.13/0.35  
% 0.13/0.35  This is a Horn set without equality.  The strategy will
% 0.13/0.35  be hyperresolution, with satellites in sos and nuclei
% 0.13/0.35  in usable.
% 0.13/0.35  
% 0.13/0.35     dependent: set(hyper_res).
% 0.13/0.35     dependent: clear(order_hyper).
% 0.13/0.35  
% 0.13/0.35  ------------> process usable:
% 0.13/0.35  
% 0.13/0.35  ------------> process sos:
% 0.13/0.35  
% 0.13/0.35  ======= end of input processing =======
% 0.13/0.38  
% 0.13/0.38  Model 1 (0.00 seconds, 0 Inserts)
% 0.13/0.38  
% 0.13/0.38  Stopped by limit on number of solutions
% 0.13/0.38  
% 0.13/0.38  
% 0.13/0.38  -------------- Softie stats --------------
% 0.13/0.38  
% 0.13/0.38  UPDATE_STOP: 300
% 0.13/0.38  SFINDER_TIME_LIMIT: 2
% 0.13/0.38  SHORT_CLAUSE_CUTOFF: 4
% 0.13/0.38  number of clauses in intial UL: 2
% 0.13/0.38  number of clauses initially in problem: 6
% 0.13/0.38  percentage of clauses intially in UL: 33
% 0.13/0.38  percentage of distinct symbols occuring in initial UL: 100
% 0.13/0.38  percent of all initial clauses that are short: 100
% 0.13/0.38  absolute distinct symbol count: 5
% 0.13/0.38     distinct predicate count: 1
% 0.13/0.38     distinct function count: 2
% 0.13/0.38     distinct constant count: 2
% 0.13/0.38  
% 0.13/0.38  ---------- no more Softie stats ----------
% 0.13/0.38  
% 0.13/0.38  
% 0.13/0.38  
% 0.13/0.38  Model 2 (0.00 seconds, 0 Inserts)
% 0.13/0.38  
% 0.13/0.38  Stopped by limit on number of solutions
% 0.13/0.38  
% 0.13/0.38  =========== start of search ===========
% 5.83/6.06  
% 5.83/6.06  
% 5.83/6.06  Changing weight limit from 60 to 24.
% 5.83/6.06  
% 5.83/6.06  Stopped by limit on insertions
% 5.83/6.06  
% 5.83/6.06  Model 3 (0.00 seconds, 0 Inserts)
% 5.83/6.06  
% 5.83/6.06  Stopped by limit on number of solutions
% 5.83/6.06  
% 5.83/6.06  Model 4 (0.00 seconds, 0 Inserts)
% 5.83/6.06  
% 5.83/6.06  Stopped by limit on number of solutions
% 5.83/6.06  
% 5.83/6.06  Model 5 (0.00 seconds, 0 Inserts)
% 5.83/6.06  
% 5.83/6.06  Stopped by limit on number of solutions
% 5.83/6.06  
% 5.83/6.06  Resetting weight limit to 24 after 225 givens.
% 5.83/6.06  
% 5.92/6.14  
% 5.92/6.14  
% 5.92/6.14  Changing weight limit from 24 to 22.
% 5.92/6.14  
% 5.92/6.14  Resetting weight limit to 22 after 230 givens.
% 5.92/6.14  
% 5.92/6.17  
% 5.92/6.17  
% 5.92/6.17  Changing weight limit from 22 to 21.
% 5.92/6.17  
% 5.92/6.17  Resetting weight limit to 21 after 235 givens.
% 5.92/6.17  
% 6.02/6.20  
% 6.02/6.20  
% 6.02/6.20  Changing weight limit from 21 to 20.
% 6.02/6.20  
% 6.02/6.20  Resetting weight limit to 20 after 240 givens.
% 6.02/6.20  
% 6.22/6.43  
% 6.22/6.43  
% 6.22/6.43  Changing weight limit from 20 to 19.
% 6.22/6.43  
% 6.22/6.43  Resetting weight limit to 19 after 300 givens.
% 6.22/6.43  
% 6.35/6.54  
% 6.35/6.54  
% 6.35/6.54  Changing weight limit from 19 to 18.
% 6.35/6.54  
% 6.35/6.54  Resetting weight limit to 18 after 325 givens.
% 6.35/6.54  
% 7.04/7.28  
% 7.04/7.28  
% 7.04/7.28  Changing weight limit from 18 to 17.
% 7.04/7.28  
% 7.04/7.28  Modelling stopped after 300 given clauses and 0.00 seconds
% 7.04/7.28  
% 7.04/7.28  
% 7.04/7.28  Resetting weight limit to 17 after 490 givens.
% 7.04/7.28  
% 7.52/7.71  
% 7.52/7.71  
% 7.52/7.71  Changing weight limit from 17 to 16.
% 7.52/7.71  
% 7.52/7.71  Resetting weight limit to 16 after 630 givens.
% 7.52/7.71  
% 7.63/7.84  
% 7.63/7.84  -------- PROOF -------- 
% 7.63/7.84  % SZS status Unsatisfiable
% 7.63/7.84  % SZS output start Refutation
% 7.63/7.84  
% 7.63/7.84  ----> UNIT CONFLICT at   7.41 sec ----> 23224 [binary,23223.1,2.1] {-} $F.
% 7.63/7.84  
% 7.63/7.84  Length of proof is 17.  Level of proof is 10.
% 7.63/7.84  
% 7.63/7.84  ---------------- PROOF ----------------
% 7.63/7.84  % SZS status Unsatisfiable
% 7.63/7.84  % SZS output start Refutation
% 7.63/7.84  
% 7.63/7.84  1 [] {+} -is_a_theorem(implies(A,B))| -is_a_theorem(A)|is_a_theorem(B).
% 7.63/7.84  2 [] {+} -is_a_theorem(implies(implies(not(a),b),implies(not(b),a))).
% 7.63/7.84  3 [] {+} is_a_theorem(implies(A,implies(B,A))).
% 7.63/7.84  4 [] {-} is_a_theorem(implies(implies(A,B),implies(implies(B,C),implies(A,C)))).
% 7.63/7.84  5 [] {+} is_a_theorem(implies(implies(implies(A,B),B),implies(implies(B,A),A))).
% 7.63/7.84  6 [] {-} is_a_theorem(implies(implies(not(A),not(B)),implies(B,A))).
% 7.63/7.84  8 [hyper,6,1,3] {-} is_a_theorem(implies(A,implies(implies(not(B),not(C)),implies(C,B)))).
% 7.63/7.84  9 [hyper,4,1,4] {+} is_a_theorem(implies(implies(implies(implies(A,B),implies(C,B)),D),implies(implies(C,A),D))).
% 7.63/7.84  12 [hyper,4,1,3] {-} is_a_theorem(implies(implies(implies(A,B),C),implies(B,C))).
% 7.63/7.84  15 [hyper,12,1,6] {-} is_a_theorem(implies(not(A),implies(A,B))).
% 7.63/7.84  18 [hyper,15,1,4] {-} is_a_theorem(implies(implies(implies(A,B),C),implies(not(A),C))).
% 7.63/7.84  19 [hyper,15,1,3] {-} is_a_theorem(implies(A,implies(not(B),implies(B,C)))).
% 7.63/7.84  20 [hyper,5,1,12] {+} is_a_theorem(implies(A,implies(implies(A,B),B))).
% 7.63/7.84  23 [hyper,19,1,5] {-} is_a_theorem(implies(implies(implies(not(A),implies(A,B)),C),C)).
% 7.63/7.84  30 [hyper,18,1,6] {-} is_a_theorem(implies(not(not(A)),implies(B,A))).
% 7.63/7.84  34 [hyper,30,1,4] {-} is_a_theorem(implies(implies(implies(A,B),C),implies(not(not(B)),C))).
% 7.63/7.84  65 [hyper,8,1,5] {-} is_a_theorem(implies(implies(implies(implies(not(A),not(B)),implies(B,A)),C),C)).
% 7.63/7.84  115 [hyper,34,1,23] {+} is_a_theorem(implies(not(not(A)),A)).
% 7.63/7.84  124 [hyper,115,1,6] {+} is_a_theorem(implies(A,not(not(A)))).
% 7.63/7.84  130 [hyper,124,1,20] {+} is_a_theorem(implies(implies(implies(A,not(not(A))),B),B)).
% 7.63/7.84  338 [hyper,65,1,9] {-} is_a_theorem(implies(implies(A,implies(not(B),not(C))),implies(A,implies(C,B)))).
% 7.63/7.84  7600 [hyper,130,1,9] {+} is_a_theorem(implies(implies(A,B),implies(A,not(not(B))))).
% 7.63/7.84  23223 [hyper,7600,1,338] {-} is_a_theorem(implies(implies(not(A),B),implies(not(B),A))).
% 7.63/7.84  23224 [binary,23223.1,2.1] {-} $F.
% 7.63/7.84  
% 7.63/7.84  % SZS output end Refutation
% 7.63/7.84  ------------ end of proof -------------
% 7.63/7.84  
% 7.63/7.84  
% 7.63/7.84  Search stopped by max_proofs option.
% 7.63/7.84  
% 7.63/7.84  
% 7.63/7.84  Search stopped by max_proofs option.
% 7.63/7.84  
% 7.63/7.84  ============ end of search ============
% 7.63/7.84  
% 7.63/7.84  ----------- soft-scott stats ----------
% 7.63/7.84  
% 7.63/7.84  true clauses given         240      (35.9%)
% 7.63/7.84  false clauses given        429
% 7.63/7.84  
% 7.63/7.84        FALSE     TRUE
% 7.63/7.84    10  0         6
% 7.63/7.84    11  0         129
% 7.63/7.84    12  0         443
% 7.63/7.84    13  0         652
% 7.63/7.84    14  259       1319
% 7.63/7.84    15  239       19
% 7.63/7.84    16  2016      66
% 7.63/7.84  tot:  2514      2634      (51.2% true)
% 7.63/7.84  
% 7.63/7.84  
% 7.63/7.84  Model 5 (0.00 seconds, 0 Inserts)
% 7.63/7.84  
% 7.63/7.84  That finishes the proof of the theorem.
% 7.63/7.84  
% 7.63/7.84  Process 27171 finished Mon Jul  4 14:47:18 2022
%------------------------------------------------------------------------------