TSTP Solution File: GRP022-2 by SOS---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SOS---2.0
% Problem  : GRP022-2 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : sos-script %s

% Computer : n024.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 11:41:02 EDT 2022

% Result   : Unsatisfiable 0.18s 0.41s
% Output   : Refutation 0.18s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : GRP022-2 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.12  % Command  : sos-script %s
% 0.12/0.33  % Computer : n024.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Tue Jun 14 14:03:48 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.12/0.35  ----- Otter 3.2, August 2001 -----
% 0.12/0.35  The process was started by sandbox on n024.cluster.edu,
% 0.12/0.35  Tue Jun 14 14:03:48 2022
% 0.12/0.35  The command was "./sos".  The process ID is 3322.
% 0.12/0.35  
% 0.12/0.35  set(prolog_style_variables).
% 0.12/0.35  set(auto).
% 0.12/0.35     dependent: set(auto1).
% 0.12/0.35     dependent: set(process_input).
% 0.12/0.35     dependent: clear(print_kept).
% 0.12/0.35     dependent: clear(print_new_demod).
% 0.12/0.35     dependent: clear(print_back_demod).
% 0.12/0.35     dependent: clear(print_back_sub).
% 0.12/0.35     dependent: set(control_memory).
% 0.12/0.35     dependent: assign(max_mem, 12000).
% 0.12/0.35     dependent: assign(pick_given_ratio, 4).
% 0.12/0.35     dependent: assign(stats_level, 1).
% 0.12/0.35     dependent: assign(pick_semantic_ratio, 3).
% 0.12/0.35     dependent: assign(sos_limit, 5000).
% 0.12/0.35     dependent: assign(max_weight, 60).
% 0.12/0.35  clear(print_given).
% 0.12/0.35  
% 0.12/0.35  list(usable).
% 0.12/0.35  
% 0.12/0.35  SCAN INPUT: prop=0, horn=1, equality=1, symmetry=0, max_lits=1.
% 0.12/0.35  
% 0.12/0.35  All clauses are units, and equality is present; the
% 0.12/0.35  strategy will be Knuth-Bendix with positive clauses in sos.
% 0.12/0.35  
% 0.12/0.35     dependent: set(knuth_bendix).
% 0.12/0.35     dependent: set(para_from).
% 0.12/0.35     dependent: set(para_into).
% 0.12/0.35     dependent: clear(para_from_right).
% 0.12/0.35     dependent: clear(para_into_right).
% 0.12/0.35     dependent: set(para_from_vars).
% 0.12/0.35     dependent: set(eq_units_both_ways).
% 0.12/0.35     dependent: set(dynamic_demod_all).
% 0.12/0.35     dependent: set(dynamic_demod).
% 0.12/0.35     dependent: set(order_eq).
% 0.12/0.35     dependent: set(back_demod).
% 0.12/0.35     dependent: set(lrpo).
% 0.12/0.35  
% 0.12/0.35  ------------> process usable:
% 0.12/0.35  
% 0.12/0.35  ------------> process sos:
% 0.12/0.35    Following clause subsumed by 12 during input processing: 0 [copy,12,flip.1] {-} A=A.
% 0.12/0.35  
% 0.12/0.35  ======= end of input processing =======
% 0.12/0.38  
% 0.12/0.38  Model 1 (0.00 seconds, 0 Inserts)
% 0.12/0.38  
% 0.12/0.38  Stopped by limit on number of solutions
% 0.12/0.38  
% 0.12/0.38  
% 0.12/0.38  -------------- Softie stats --------------
% 0.12/0.38  
% 0.12/0.38  UPDATE_STOP: 300
% 0.12/0.38  SFINDER_TIME_LIMIT: 2
% 0.12/0.38  SHORT_CLAUSE_CUTOFF: 4
% 0.12/0.38  number of clauses in intial UL: 1
% 0.12/0.38  number of clauses initially in problem: 12
% 0.12/0.38  percentage of clauses intially in UL: 8
% 0.12/0.38  percentage of distinct symbols occuring in initial UL: 60
% 0.12/0.38  percent of all initial clauses that are short: 100
% 0.12/0.38  absolute distinct symbol count: 5
% 0.12/0.38     distinct predicate count: 1
% 0.12/0.38     distinct function count: 2
% 0.12/0.38     distinct constant count: 2
% 0.12/0.38  
% 0.12/0.38  ---------- no more Softie stats ----------
% 0.12/0.38  
% 0.12/0.38  
% 0.12/0.38  
% 0.12/0.38  Model 2 (0.00 seconds, 0 Inserts)
% 0.12/0.38  
% 0.12/0.38  Stopped by limit on number of solutions
% 0.12/0.38  
% 0.12/0.38  =========== start of search ===========
% 0.18/0.41  
% 0.18/0.41  -------- PROOF -------- 
% 0.18/0.41  % SZS status Unsatisfiable
% 0.18/0.41  % SZS output start Refutation
% 0.18/0.41  
% 0.18/0.41  Model 3 (0.00 seconds, 0 Inserts)
% 0.18/0.41  
% 0.18/0.41  Stopped by limit on number of solutions
% 0.18/0.41  
% 0.18/0.41  Model 4 (0.00 seconds, 0 Inserts)
% 0.18/0.41  
% 0.18/0.41  Stopped by limit on number of solutions
% 0.18/0.41  
% 0.18/0.41  Model 5 [ 2 1 366 ] (0.00 seconds, 3909 Inserts)
% 0.18/0.41  
% 0.18/0.41  ----> UNIT CONFLICT at   0.03 sec ----> 27 [binary,25.1,1.1] {-} $F.
% 0.18/0.41  
% 0.18/0.41  Length of proof is 2.  Level of proof is 2.
% 0.18/0.41  
% 0.18/0.41  ---------------- PROOF ----------------
% 0.18/0.41  % SZS status Unsatisfiable
% 0.18/0.41  % SZS output start Refutation
% 0.18/0.41  
% 0.18/0.41  1 [] {+} inverse(inverse(a))!=a.
% 0.18/0.41  3,2 [] {+} multiply(identity,A)=A.
% 0.18/0.41  4 [] {+} multiply(inverse(A),A)=identity.
% 0.18/0.41  6 [] {-} multiply(multiply(A,B),C)=multiply(A,multiply(B,C)).
% 0.18/0.41  9,8 [] {+} multiply(A,identity)=A.
% 0.18/0.41  15 [para_into,6.1.1.1,4.1.1,demod,3,flip.1] {+} multiply(inverse(A),multiply(A,B))=B.
% 0.18/0.41  25 [para_into,15.1.1.2,4.1.1,demod,9] {-} inverse(inverse(A))=A.
% 0.18/0.41  27 [binary,25.1,1.1] {-} $F.
% 0.18/0.41  
% 0.18/0.41  % SZS output end Refutation
% 0.18/0.41  ------------ end of proof -------------
% 0.18/0.41  
% 0.18/0.41  
% 0.18/0.41  Search stopped by max_proofs option.
% 0.18/0.41  
% 0.18/0.41  
% 0.18/0.41  Search stopped by max_proofs option.
% 0.18/0.41  
% 0.18/0.41  ============ end of search ============
% 0.18/0.41  
% 0.18/0.41  ----------- soft-scott stats ----------
% 0.18/0.41  
% 0.18/0.41  true clauses given           2      (28.6%)
% 0.18/0.41  false clauses given          5
% 0.18/0.41  
% 0.18/0.41        FALSE     TRUE
% 0.18/0.41     4  0         1
% 0.18/0.41     8  0         1
% 0.18/0.41    10  1         0
% 0.18/0.41  tot:  1         2      (66.7% true)
% 0.18/0.41  
% 0.18/0.41  
% 0.18/0.41  Model 5 [ 2 1 366 ] (0.00 seconds, 3909 Inserts)
% 0.18/0.41  
% 0.18/0.41  That finishes the proof of the theorem.
% 0.18/0.41  
% 0.18/0.41  Process 3322 finished Tue Jun 14 14:03:48 2022
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