TSTP Solution File: GRP031-1 by SOS---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SOS---2.0
% Problem  : GRP031-1 : TPTP v8.1.0. Released v1.0.0.
% 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 : Sat Jul 16 11:41:07 EDT 2022

% Result   : Unsatisfiable 0.21s 0.47s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : GRP031-1 : TPTP v8.1.0. Released v1.0.0.
% 0.06/0.13  % Command  : sos-script %s
% 0.13/0.34  % Computer : n013.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 : Tue Jun 14 05:19:59 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.13/0.36  ----- Otter 3.2, August 2001 -----
% 0.13/0.36  The process was started by sandbox2 on n013.cluster.edu,
% 0.13/0.36  Tue Jun 14 05:19:59 2022
% 0.13/0.36  The command was "./sos".  The process ID is 19740.
% 0.13/0.36  
% 0.13/0.36  set(prolog_style_variables).
% 0.13/0.36  set(auto).
% 0.13/0.36     dependent: set(auto1).
% 0.13/0.36     dependent: set(process_input).
% 0.13/0.36     dependent: clear(print_kept).
% 0.13/0.36     dependent: clear(print_new_demod).
% 0.13/0.36     dependent: clear(print_back_demod).
% 0.13/0.36     dependent: clear(print_back_sub).
% 0.13/0.36     dependent: set(control_memory).
% 0.13/0.36     dependent: assign(max_mem, 12000).
% 0.13/0.36     dependent: assign(pick_given_ratio, 4).
% 0.13/0.36     dependent: assign(stats_level, 1).
% 0.13/0.36     dependent: assign(pick_semantic_ratio, 3).
% 0.13/0.36     dependent: assign(sos_limit, 5000).
% 0.13/0.36     dependent: assign(max_weight, 60).
% 0.13/0.36  clear(print_given).
% 0.13/0.36  
% 0.13/0.36  list(usable).
% 0.13/0.36  
% 0.13/0.36  SCAN INPUT: prop=0, horn=1, equality=1, symmetry=0, max_lits=4.
% 0.13/0.36  
% 0.13/0.36  This is a Horn set with equality.  The strategy will be
% 0.13/0.36  Knuth-Bendix and hyper_res, with positive clauses in
% 0.13/0.36  sos and nonpositive clauses in usable.
% 0.13/0.36  
% 0.13/0.36     dependent: set(knuth_bendix).
% 0.13/0.36     dependent: set(para_from).
% 0.13/0.36     dependent: set(para_into).
% 0.13/0.36     dependent: clear(para_from_right).
% 0.13/0.36     dependent: clear(para_into_right).
% 0.13/0.36     dependent: set(para_from_vars).
% 0.13/0.36     dependent: set(eq_units_both_ways).
% 0.13/0.36     dependent: set(dynamic_demod_all).
% 0.13/0.36     dependent: set(dynamic_demod).
% 0.13/0.36     dependent: set(order_eq).
% 0.13/0.36     dependent: set(back_demod).
% 0.13/0.36     dependent: set(lrpo).
% 0.13/0.36     dependent: set(hyper_res).
% 0.13/0.36     dependent: clear(order_hyper).
% 0.13/0.36  
% 0.13/0.36  ------------> process usable:
% 0.13/0.36  
% 0.13/0.36  ------------> process sos:
% 0.13/0.36    Following clause subsumed by 8 during input processing: 0 [copy,8,flip.1] {-} A=A.
% 0.13/0.36  
% 0.13/0.36  ======= end of input processing =======
% 0.21/0.41  
% 0.21/0.41  Model 1 (0.00 seconds, 0 Inserts)
% 0.21/0.41  
% 0.21/0.41  Stopped by limit on number of solutions
% 0.21/0.41  
% 0.21/0.41  
% 0.21/0.41  -------------- Softie stats --------------
% 0.21/0.41  
% 0.21/0.41  UPDATE_STOP: 300
% 0.21/0.41  SFINDER_TIME_LIMIT: 2
% 0.21/0.41  SHORT_CLAUSE_CUTOFF: 4
% 0.21/0.41  number of clauses in intial UL: 4
% 0.21/0.41  number of clauses initially in problem: 8
% 0.21/0.41  percentage of clauses intially in UL: 50
% 0.21/0.41  percentage of distinct symbols occuring in initial UL: 66
% 0.21/0.41  percent of all initial clauses that are short: 100
% 0.21/0.41  absolute distinct symbol count: 6
% 0.21/0.41     distinct predicate count: 2
% 0.21/0.41     distinct function count: 2
% 0.21/0.41     distinct constant count: 2
% 0.21/0.41  
% 0.21/0.41  ---------- no more Softie stats ----------
% 0.21/0.41  
% 0.21/0.41  
% 0.21/0.41  
% 0.21/0.41  Model 2 (0.00 seconds, 0 Inserts)
% 0.21/0.41  
% 0.21/0.41  Stopped by limit on number of solutions
% 0.21/0.41  
% 0.21/0.41  =========== start of search ===========
% 0.21/0.47  
% 0.21/0.47  -------- PROOF -------- 
% 0.21/0.47  % SZS status Unsatisfiable
% 0.21/0.47  % SZS output start Refutation
% 0.21/0.47  
% 0.21/0.47  Model 3 (0.00 seconds, 0 Inserts)
% 0.21/0.47  
% 0.21/0.47  Stopped by limit on number of solutions
% 0.21/0.47  
% 0.21/0.47  Model 4 [ 2 1 258 ] (0.00 seconds, 2100 Inserts)
% 0.21/0.47  
% 0.21/0.47  Model 5 [ 1 2 1253 ] (0.00 seconds, 2889 Inserts)
% 0.21/0.47  
% 0.21/0.47  Model 6 [ 1 1 932 ] (0.00 seconds, 3093 Inserts)
% 0.21/0.47  
% 0.21/0.47  ----> UNIT CONFLICT at   0.09 sec ----> 103 [binary,102.1,4.1] {+} $F.
% 0.21/0.47  
% 0.21/0.47  Length of proof is 2.  Level of proof is 2.
% 0.21/0.47  
% 0.21/0.47  ---------------- PROOF ----------------
% 0.21/0.47  % SZS status Unsatisfiable
% 0.21/0.47  % SZS output start Refutation
% 0.21/0.47  
% 0.21/0.47  2 [] {+} -product(A,B,C)| -product(B,D,E)| -product(C,D,F)|product(A,E,F).
% 0.21/0.47  3 [] {+} -product(A,B,C)| -product(B,D,E)| -product(A,E,F)|product(C,D,F).
% 0.21/0.47  4 [] {+} -product(a,A,identity).
% 0.21/0.47  6 [] {+} product(identity,A,A).
% 0.21/0.47  7 [] {+} product(inverse(A),A,identity).
% 0.21/0.47  29 [hyper,7,2,7,6] {-} product(inverse(inverse(A)),identity,A).
% 0.21/0.47  102 [hyper,29,3,6,7] {-} product(A,inverse(A),identity).
% 0.21/0.47  103 [binary,102.1,4.1] {+} $F.
% 0.21/0.47  
% 0.21/0.47  % SZS output end Refutation
% 0.21/0.47  ------------ end of proof -------------
% 0.21/0.47  
% 0.21/0.47  
% 0.21/0.47  Search stopped by max_proofs option.
% 0.21/0.47  
% 0.21/0.47  
% 0.21/0.47  Search stopped by max_proofs option.
% 0.21/0.47  
% 0.21/0.47  ============ end of search ============
% 0.21/0.47  
% 0.21/0.47  ----------- soft-scott stats ----------
% 0.21/0.47  
% 0.21/0.47  true clauses given           2      (28.6%)
% 0.21/0.47  false clauses given          5
% 0.21/0.47  
% 0.21/0.47        FALSE     TRUE
% 0.21/0.47     5  0         2
% 0.21/0.47     6  0         5
% 0.21/0.47     7  3         3
% 0.21/0.47     8  2         8
% 0.21/0.47     9  1         7
% 0.21/0.47    10  0         1
% 0.21/0.47    11  1         1
% 0.21/0.47    12  0         8
% 0.21/0.47    13  7         11
% 0.21/0.47    14  0         8
% 0.21/0.47    18  0         8
% 0.21/0.47  tot:  14        62      (81.6% true)
% 0.21/0.47  
% 0.21/0.47  
% 0.21/0.47  Model 6 [ 1 1 932 ] (0.00 seconds, 3093 Inserts)
% 0.21/0.47  
% 0.21/0.47  That finishes the proof of the theorem.
% 0.21/0.47  
% 0.21/0.47  Process 19740 finished Tue Jun 14 05:19:59 2022
%------------------------------------------------------------------------------