TSTP Solution File: LCL128-1 by SOS---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SOS---2.0
% Problem  : LCL128-1 : TPTP v8.1.0. Released v1.0.0.
% 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 14:28:06 EDT 2022

% Result   : Unsatisfiable 6.15s 6.38s
% Output   : Refutation 6.15s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : LCL128-1 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.13  % Command  : sos-script %s
% 0.13/0.35  % Computer : n007.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 600
% 0.13/0.35  % DateTime : Mon Jul  4 05:54:41 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 0.13/0.37  ----- Otter 3.2, August 2001 -----
% 0.13/0.37  The process was started by sandbox2 on n007.cluster.edu,
% 0.13/0.37  Mon Jul  4 05:54:41 2022
% 0.13/0.37  The command was "./sos".  The process ID is 17857.
% 0.13/0.37  
% 0.13/0.37  set(prolog_style_variables).
% 0.13/0.37  set(auto).
% 0.13/0.37     dependent: set(auto1).
% 0.13/0.37     dependent: set(process_input).
% 0.13/0.37     dependent: clear(print_kept).
% 0.13/0.37     dependent: clear(print_new_demod).
% 0.13/0.37     dependent: clear(print_back_demod).
% 0.13/0.37     dependent: clear(print_back_sub).
% 0.13/0.37     dependent: set(control_memory).
% 0.13/0.37     dependent: assign(max_mem, 12000).
% 0.13/0.37     dependent: assign(pick_given_ratio, 4).
% 0.13/0.37     dependent: assign(stats_level, 1).
% 0.13/0.37     dependent: assign(pick_semantic_ratio, 3).
% 0.13/0.37     dependent: assign(sos_limit, 5000).
% 0.13/0.37     dependent: assign(max_weight, 60).
% 0.13/0.37  clear(print_given).
% 0.13/0.37  
% 0.13/0.37  list(usable).
% 0.13/0.37  
% 0.13/0.37  SCAN INPUT: prop=0, horn=1, equality=0, symmetry=0, max_lits=3.
% 0.13/0.37  
% 0.13/0.37  This is a Horn set without equality.  The strategy will
% 0.13/0.37  be hyperresolution, with satellites in sos and nuclei
% 0.13/0.37  in usable.
% 0.13/0.37  
% 0.13/0.37     dependent: set(hyper_res).
% 0.13/0.37     dependent: clear(order_hyper).
% 0.13/0.37  
% 0.13/0.37  ------------> process usable:
% 0.13/0.37  
% 0.13/0.37  ------------> process sos:
% 0.13/0.37  
% 0.13/0.37  ======= end of input processing =======
% 0.13/0.39  
% 0.13/0.39  Model 1 (0.00 seconds, 0 Inserts)
% 0.13/0.39  
% 0.13/0.39  Stopped by limit on number of solutions
% 0.13/0.39  
% 0.13/0.39  
% 0.13/0.39  -------------- Softie stats --------------
% 0.13/0.39  
% 0.13/0.39  UPDATE_STOP: 300
% 0.13/0.39  SFINDER_TIME_LIMIT: 2
% 0.13/0.39  SHORT_CLAUSE_CUTOFF: 4
% 0.13/0.39  number of clauses in intial UL: 2
% 0.13/0.39  number of clauses initially in problem: 3
% 0.13/0.39  percentage of clauses intially in UL: 66
% 0.13/0.39  percentage of distinct symbols occuring in initial UL: 100
% 0.13/0.39  percent of all initial clauses that are short: 100
% 0.13/0.39  absolute distinct symbol count: 6
% 0.13/0.39     distinct predicate count: 1
% 0.13/0.39     distinct function count: 1
% 0.13/0.39     distinct constant count: 4
% 0.13/0.39  
% 0.13/0.39  ---------- no more Softie stats ----------
% 0.13/0.39  
% 0.13/0.39  
% 0.13/0.39  
% 0.13/0.39  =========== start of search ===========
% 3.96/4.21  
% 3.96/4.21  
% 3.96/4.21  Changing weight limit from 60 to 48.
% 3.96/4.21  
% 3.96/4.21  Model 2 (0.00 seconds, 0 Inserts)
% 3.96/4.21  
% 3.96/4.21  Stopped by limit on number of solutions
% 3.96/4.21  
% 3.96/4.21  Model 3 (0.00 seconds, 0 Inserts)
% 3.96/4.21  
% 3.96/4.21  Stopped by limit on number of solutions
% 3.96/4.21  
% 3.96/4.21  Model 4 (0.00 seconds, 0 Inserts)
% 3.96/4.21  
% 3.96/4.21  Stopped by limit on number of solutions
% 3.96/4.21  
% 3.96/4.21  Model 5 (0.00 seconds, 0 Inserts)
% 3.96/4.21  
% 3.96/4.21  Stopped by limit on number of solutions
% 3.96/4.21  
% 3.96/4.21  Resetting weight limit to 48 after 100 givens.
% 3.96/4.21  
% 4.42/4.62  
% 4.42/4.62  
% 4.42/4.62  Changing weight limit from 48 to 36.
% 4.42/4.62  
% 4.42/4.62  Resetting weight limit to 36 after 105 givens.
% 4.42/4.62  
% 4.70/4.91  
% 4.70/4.91  
% 4.70/4.91  Changing weight limit from 36 to 32.
% 4.70/4.91  
% 4.70/4.91  Resetting weight limit to 32 after 115 givens.
% 4.70/4.91  
% 4.79/4.97  
% 4.79/4.97  
% 4.79/4.97  Changing weight limit from 32 to 28.
% 4.79/4.97  
% 4.79/4.97  Resetting weight limit to 28 after 120 givens.
% 4.79/4.97  
% 4.93/5.10  
% 4.93/5.10  
% 4.93/5.10  Changing weight limit from 28 to 24.
% 4.93/5.10  
% 4.93/5.10  Resetting weight limit to 24 after 125 givens.
% 4.93/5.10  
% 6.15/6.38  
% 6.15/6.38  -------- PROOF -------- 
% 6.15/6.38  % SZS status Unsatisfiable
% 6.15/6.38  % SZS output start Refutation
% 6.15/6.38  
% 6.15/6.38  ----> UNIT CONFLICT at   5.96 sec ----> 13359 [binary,13358.1,2.1] {-} $F.
% 6.15/6.38  
% 6.15/6.38  Length of proof is 24.  Level of proof is 18.
% 6.15/6.38  
% 6.15/6.38  ---------------- PROOF ----------------
% 6.15/6.38  % SZS status Unsatisfiable
% 6.15/6.38  % SZS output start Refutation
% 6.15/6.38  
% 6.15/6.38  1 [] {+} -is_a_theorem(equivalent(A,B))| -is_a_theorem(A)|is_a_theorem(B).
% 6.15/6.38  2 [] {+} -is_a_theorem(equivalent(a,equivalent(a,equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e)))))).
% 6.15/6.38  3 [] {-} is_a_theorem(equivalent(A,equivalent(A,equivalent(equivalent(equivalent(B,C),equivalent(D,C)),equivalent(B,D))))).
% 6.15/6.38  4 [hyper,3,1,3] {-} is_a_theorem(equivalent(equivalent(A,equivalent(A,equivalent(equivalent(equivalent(B,C),equivalent(D,C)),equivalent(B,D)))),equivalent(equivalent(equivalent(E,F),equivalent(G,F)),equivalent(E,G)))).
% 6.15/6.38  6 [hyper,4,1,3] {-} is_a_theorem(equivalent(equivalent(equivalent(A,B),equivalent(C,B)),equivalent(A,C))).
% 6.15/6.38  7 [hyper,6,1,3] {-} is_a_theorem(equivalent(equivalent(equivalent(equivalent(A,B),equivalent(C,B)),equivalent(A,C)),equivalent(equivalent(equivalent(D,E),equivalent(F,E)),equivalent(D,F)))).
% 6.15/6.38  28 [hyper,7,1,6] {-} is_a_theorem(equivalent(equivalent(equivalent(A,B),equivalent(C,B)),equivalent(equivalent(A,D),equivalent(C,D)))).
% 6.15/6.38  33 [hyper,28,1,6] {+} is_a_theorem(equivalent(equivalent(A,B),equivalent(A,B))).
% 6.15/6.38  39 [hyper,28,1,3] {-} is_a_theorem(equivalent(equivalent(A,B),equivalent(equivalent(A,equivalent(equivalent(equivalent(C,D),equivalent(E,D)),equivalent(C,E))),B))).
% 6.15/6.38  42 [hyper,33,1,6] {+} is_a_theorem(equivalent(A,A)).
% 6.15/6.38  46 [hyper,42,1,3] {-} is_a_theorem(equivalent(equivalent(A,A),equivalent(equivalent(equivalent(B,C),equivalent(D,C)),equivalent(B,D)))).
% 6.15/6.38  60 [hyper,46,1,6] {-} is_a_theorem(equivalent(equivalent(A,B),equivalent(equivalent(A,C),equivalent(B,C)))).
% 6.15/6.38  67 [hyper,60,1,6] {-} is_a_theorem(equivalent(equivalent(equivalent(equivalent(A,B),equivalent(C,B)),D),equivalent(equivalent(A,C),D))).
% 6.15/6.38  83 [hyper,67,1,67] {-} is_a_theorem(equivalent(equivalent(equivalent(A,B),C),equivalent(equivalent(A,D),equivalent(C,equivalent(D,B))))).
% 6.15/6.38  223 [hyper,39,1,42] {-} is_a_theorem(equivalent(equivalent(A,equivalent(equivalent(equivalent(B,C),equivalent(D,C)),equivalent(B,D))),A)).
% 6.15/6.38  235 [hyper,223,1,67] {-} is_a_theorem(equivalent(equivalent(A,equivalent(equivalent(B,C),equivalent(D,C))),equivalent(A,equivalent(B,D)))).
% 6.15/6.38  243 [hyper,223,1,39] {-} is_a_theorem(equivalent(equivalent(A,equivalent(B,C)),equivalent(A,equivalent(equivalent(B,D),equivalent(C,D))))).
% 6.15/6.38  244 [hyper,235,1,235] {-} is_a_theorem(equivalent(equivalent(equivalent(A,B),equivalent(equivalent(C,D),equivalent(B,D))),equivalent(A,C))).
% 6.15/6.38  248 [hyper,235,1,67] {-} is_a_theorem(equivalent(equivalent(A,equivalent(B,C)),equivalent(equivalent(A,equivalent(D,C)),equivalent(B,D)))).
% 6.15/6.38  282 [hyper,243,1,235] {-} is_a_theorem(equivalent(equivalent(equivalent(A,equivalent(B,C)),equivalent(D,B)),equivalent(A,equivalent(D,C)))).
% 6.15/6.38  314 [hyper,244,1,243] {+} is_a_theorem(equivalent(equivalent(A,equivalent(B,B)),A)).
% 6.15/6.38  322 [hyper,314,1,83] {-} is_a_theorem(equivalent(equivalent(A,B),equivalent(A,equivalent(B,equivalent(C,C))))).
% 6.15/6.38  399 [hyper,322,1,42] {+} is_a_theorem(equivalent(A,equivalent(A,equivalent(B,B)))).
% 6.15/6.38  780 [hyper,248,1,399] {+} is_a_theorem(equivalent(equivalent(A,equivalent(B,equivalent(C,C))),equivalent(A,B))).
% 6.15/6.38  3675 [hyper,780,1,282] {-} is_a_theorem(equivalent(equivalent(equivalent(A,equivalent(B,C)),equivalent(C,B)),A)).
% 6.15/6.38  3710 [hyper,3675,1,83] {-} is_a_theorem(equivalent(equivalent(equivalent(A,equivalent(B,C)),D),equivalent(A,equivalent(D,equivalent(C,B))))).
% 6.15/6.38  13358 [hyper,3710,1,223] {-} is_a_theorem(equivalent(A,equivalent(A,equivalent(equivalent(B,C),equivalent(equivalent(B,D),equivalent(C,D)))))).
% 6.15/6.38  13359 [binary,13358.1,2.1] {-} $F.
% 6.15/6.38  
% 6.15/6.38  % SZS output end Refutation
% 6.15/6.38  ------------ end of proof -------------
% 6.15/6.38  
% 6.15/6.38  
% 6.15/6.38  Search stopped by max_proofs option.
% 6.15/6.38  
% 6.15/6.38  
% 6.15/6.38  Search stopped by max_proofs option.
% 6.15/6.38  
% 6.15/6.38  ============ end of search ============
% 6.15/6.38  
% 6.15/6.38  ----------- soft-scott stats ----------
% 6.15/6.38  
% 6.15/6.38  true clauses given          21      (8.3%)
% 6.15/6.38  false clauses given        231
% 6.15/6.38  
% 6.15/6.38        FALSE     TRUE
% 6.15/6.38    16  56        146
% 6.15/6.38    20  2428      601
% 6.15/6.38    24  123       477
% 6.15/6.38  tot:  2607      1224      (31.9% true)
% 6.15/6.38  
% 6.15/6.38  
% 6.15/6.38  Model 5 (0.00 seconds, 0 Inserts)
% 6.15/6.38  
% 6.15/6.38  That finishes the proof of the theorem.
% 6.15/6.38  
% 6.15/6.38  Process 17857 finished Mon Jul  4 05:54:47 2022
%------------------------------------------------------------------------------