TSTP Solution File: RNG010-7 by Otter---3.3

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Otter---3.3
% Problem  : RNG010-7 : TPTP v8.1.0. Bugfixed v2.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : otter-tptp-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  : 300s
% DateTime : Wed Jul 27 13:12:03 EDT 2022

% Result   : Unknown 2.55s 2.73s
% Output   : None 
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : RNG010-7 : TPTP v8.1.0. Bugfixed v2.3.0.
% 0.12/0.13  % Command  : otter-tptp-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
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 300
% 0.12/0.34  % DateTime : Wed Jul 27 02:10:55 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 1.77/1.99  ----- Otter 3.3f, August 2004 -----
% 1.77/1.99  The process was started by sandbox2 on n024.cluster.edu,
% 1.77/1.99  Wed Jul 27 02:10:55 2022
% 1.77/1.99  The command was "./otter".  The process ID is 4113.
% 1.77/1.99  
% 1.77/1.99  set(prolog_style_variables).
% 1.77/1.99  set(auto).
% 1.77/1.99     dependent: set(auto1).
% 1.77/1.99     dependent: set(process_input).
% 1.77/1.99     dependent: clear(print_kept).
% 1.77/1.99     dependent: clear(print_new_demod).
% 1.77/1.99     dependent: clear(print_back_demod).
% 1.77/1.99     dependent: clear(print_back_sub).
% 1.77/1.99     dependent: set(control_memory).
% 1.77/1.99     dependent: assign(max_mem, 12000).
% 1.77/1.99     dependent: assign(pick_given_ratio, 4).
% 1.77/1.99     dependent: assign(stats_level, 1).
% 1.77/1.99     dependent: assign(max_seconds, 10800).
% 1.77/1.99  clear(print_given).
% 1.77/1.99  
% 1.77/1.99  list(usable).
% 1.77/1.99  0 [] A=A.
% 1.77/1.99  0 [] add(additive_identity,X)=X.
% 1.77/1.99  0 [] add(X,additive_identity)=X.
% 1.77/1.99  0 [] multiply(additive_identity,X)=additive_identity.
% 1.77/1.99  0 [] multiply(X,additive_identity)=additive_identity.
% 1.77/1.99  0 [] add(additive_inverse(X),X)=additive_identity.
% 1.77/1.99  0 [] add(X,additive_inverse(X))=additive_identity.
% 1.77/1.99  0 [] additive_inverse(additive_inverse(X))=X.
% 1.77/1.99  0 [] multiply(X,add(Y,Z))=add(multiply(X,Y),multiply(X,Z)).
% 1.77/1.99  0 [] multiply(add(X,Y),Z)=add(multiply(X,Z),multiply(Y,Z)).
% 1.77/1.99  0 [] add(X,Y)=add(Y,X).
% 1.77/1.99  0 [] add(X,add(Y,Z))=add(add(X,Y),Z).
% 1.77/1.99  0 [] multiply(multiply(X,Y),Y)=multiply(X,multiply(Y,Y)).
% 1.77/1.99  0 [] multiply(multiply(X,X),Y)=multiply(X,multiply(X,Y)).
% 1.77/1.99  0 [] associator(X,Y,Z)=add(multiply(multiply(X,Y),Z),additive_inverse(multiply(X,multiply(Y,Z)))).
% 1.77/1.99  0 [] commutator(X,Y)=add(multiply(Y,X),additive_inverse(multiply(X,Y))).
% 1.77/1.99  0 [] multiply(additive_inverse(X),additive_inverse(Y))=multiply(X,Y).
% 1.77/1.99  0 [] multiply(additive_inverse(X),Y)=additive_inverse(multiply(X,Y)).
% 1.77/1.99  0 [] multiply(X,additive_inverse(Y))=additive_inverse(multiply(X,Y)).
% 1.77/1.99  0 [] multiply(X,add(Y,additive_inverse(Z)))=add(multiply(X,Y),additive_inverse(multiply(X,Z))).
% 1.77/1.99  0 [] multiply(add(X,additive_inverse(Y)),Z)=add(multiply(X,Z),additive_inverse(multiply(Y,Z))).
% 1.77/1.99  0 [] multiply(additive_inverse(X),add(Y,Z))=add(additive_inverse(multiply(X,Y)),additive_inverse(multiply(X,Z))).
% 1.77/1.99  0 [] multiply(add(X,Y),additive_inverse(Z))=add(additive_inverse(multiply(X,Z)),additive_inverse(multiply(Y,Z))).
% 1.77/1.99  0 [] s(W,X,Y,Z)=add(add(associator(multiply(W,X),Y,Z),additive_inverse(multiply(X,associator(W,Y,Z)))),additive_inverse(multiply(associator(X,Y,Z),W))).
% 1.77/1.99  0 [] multiply(Z,multiply(X,multiply(Y,X)))=multiply(multiply(multiply(Z,X),Y),X).
% 1.77/1.99  0 [] multiply(multiply(X,multiply(Y,X)),Z)=multiply(X,multiply(Y,multiply(X,Z))).
% 1.77/1.99  0 [] multiply(multiply(X,Y),multiply(Z,X))=multiply(multiply(X,multiply(Y,Z)),X).
% 1.77/1.99  0 [] s(a,b,c,d)!=additive_inverse(s(b,a,c,d)).
% 1.77/1.99  end_of_list.
% 1.77/1.99  
% 1.77/1.99  SCAN INPUT: prop=0, horn=1, equality=1, symmetry=0, max_lits=1.
% 1.77/1.99  
% 1.77/1.99  All clauses are units, and equality is present; the
% 1.77/1.99  strategy will be Knuth-Bendix with positive clauses in sos.
% 1.77/1.99  
% 1.77/1.99     dependent: set(knuth_bendix).
% 1.77/1.99     dependent: set(anl_eq).
% 1.77/1.99     dependent: set(para_from).
% 1.77/1.99     dependent: set(para_into).
% 1.77/1.99     dependent: clear(para_from_right).
% 1.77/1.99     dependent: clear(para_into_right).
% 1.77/1.99     dependent: set(para_from_vars).
% 1.77/1.99     dependent: set(eq_units_both_ways).
% 1.77/1.99     dependent: set(dynamic_demod_all).
% 1.77/1.99     dependent: set(dynamic_demod).
% 1.77/1.99     dependent: set(order_eq).
% 1.77/1.99     dependent: set(back_demod).
% 1.77/1.99     dependent: set(lrpo).
% 1.77/1.99  
% 1.77/1.99  ------------> process usable:
% 1.77/1.99  ** KEPT (pick-wt=12): 2 [copy,1,flip.1] additive_inverse(s(b,a,c,d))!=s(a,b,c,d).
% 1.77/1.99  
% 1.77/1.99  ------------> process sos:
% 1.77/1.99  ** KEPT (pick-wt=3): 3 [] A=A.
% 1.77/1.99  ** KEPT (pick-wt=5): 4 [] add(additive_identity,A)=A.
% 1.77/1.99  ---> New Demodulator: 5 [new_demod,4] add(additive_identity,A)=A.
% 1.77/1.99  ** KEPT (pick-wt=5): 6 [] add(A,additive_identity)=A.
% 1.77/1.99  ---> New Demodulator: 7 [new_demod,6] add(A,additive_identity)=A.
% 1.77/1.99  ** KEPT (pick-wt=5): 8 [] multiply(additive_identity,A)=additive_identity.
% 1.77/1.99  ---> New Demodulator: 9 [new_demod,8] multiply(additive_identity,A)=additive_identity.
% 1.77/1.99  ** KEPT (pick-wt=5): 10 [] multiply(A,additive_identity)=additive_identity.
% 1.77/1.99  ---> New Demodulator: 11 [new_demod,10] multiply(A,additive_identity)=additive_identity.
% 1.77/1.99  ** KEPT (pick-wt=6): 12 [] add(additive_inverse(A),A)=additive_identity.
% 1.77/1.99  ---> New Demodulator: 13 [new_demod,12] add(additive_inverse(A),A)=additive_identity.
% 1.77/1.99  ** KEPT (pick-wt=6): 14 [] add(A,additive_inverse(A))=additive_identity.
% 1.77/1.99  ---> New Demodulator: 15 [new_demod,14] add(A,additive_inverse(A))=additive_identity.
% 1.77/1.99  ** KEPT (pick-wt=5): 16 [] additive_inverse(additive_inverse(A))=A.
% 1.77/1.99  ---> New Demodulator: 17 [new_demod,16] additive_inverse(additive_inverse(A))=A.
% 1.77/1.99  ** KEPT (pick-wt=13): 18 [] multiply(A,add(B,C))=add(multiply(A,B),multiply(A,C)).
% 1.77/1.99  ---> New Demodulator: 19 [new_demod,18] multiply(A,add(B,C))=add(multiply(A,B),multiply(A,C)).
% 1.77/1.99  ** KEPT (pick-wt=13): 20 [] multiply(add(A,B),C)=add(multiply(A,C),multiply(B,C)).
% 1.77/1.99  ---> New Demodulator: 21 [new_demod,20] multiply(add(A,B),C)=add(multiply(A,C),multiply(B,C)).
% 1.77/1.99  ** KEPT (pick-wt=7): 22 [] add(A,B)=add(B,A).
% 1.77/1.99  ** KEPT (pick-wt=11): 24 [copy,23,flip.1] add(add(A,B),C)=add(A,add(B,C)).
% 1.77/1.99  ---> New Demodulator: 25 [new_demod,24] add(add(A,B),C)=add(A,add(B,C)).
% 1.77/1.99  ** KEPT (pick-wt=11): 26 [] multiply(multiply(A,B),B)=multiply(A,multiply(B,B)).
% 1.77/1.99  ---> New Demodulator: 27 [new_demod,26] multiply(multiply(A,B),B)=multiply(A,multiply(B,B)).
% 1.77/1.99  ** KEPT (pick-wt=11): 28 [] multiply(multiply(A,A),B)=multiply(A,multiply(A,B)).
% 1.77/1.99  ---> New Demodulator: 29 [new_demod,28] multiply(multiply(A,A),B)=multiply(A,multiply(A,B)).
% 1.77/1.99  ** KEPT (pick-wt=17): 31 [copy,30,flip.1] add(multiply(multiply(A,B),C),additive_inverse(multiply(A,multiply(B,C))))=associator(A,B,C).
% 1.77/1.99  ---> New Demodulator: 32 [new_demod,31] add(multiply(multiply(A,B),C),additive_inverse(multiply(A,multiply(B,C))))=associator(A,B,C).
% 1.77/1.99  ** KEPT (pick-wt=12): 34 [copy,33,flip.1] add(multiply(A,B),additive_inverse(multiply(B,A)))=commutator(B,A).
% 1.77/1.99  ---> New Demodulator: 35 [new_demod,34] add(multiply(A,B),additive_inverse(multiply(B,A)))=commutator(B,A).
% 1.77/1.99  ** KEPT (pick-wt=9): 36 [] multiply(additive_inverse(A),additive_inverse(B))=multiply(A,B).
% 1.77/1.99  ---> New Demodulator: 37 [new_demod,36] multiply(additive_inverse(A),additive_inverse(B))=multiply(A,B).
% 1.77/1.99  ** KEPT (pick-wt=9): 39 [copy,38,flip.1] additive_inverse(multiply(A,B))=multiply(additive_inverse(A),B).
% 1.77/1.99  ---> New Demodulator: 40 [new_demod,39] additive_inverse(multiply(A,B))=multiply(additive_inverse(A),B).
% 1.77/1.99  ** KEPT (pick-wt=9): 42 [copy,41,demod,40] multiply(A,additive_inverse(B))=multiply(additive_inverse(A),B).
% 1.77/1.99  ** KEPT (pick-wt=17): 44 [copy,43,demod,19,40] add(multiply(A,B),multiply(A,additive_inverse(C)))=add(multiply(A,B),multiply(additive_inverse(A),C)).
% 1.77/1.99    Following clause subsumed by 3 during input processing: 0 [demod,21,40] add(multiply(A,C),multiply(additive_inverse(B),C))=add(multiply(A,C),multiply(additive_inverse(B),C)).
% 1.77/1.99    Following clause subsumed by 3 during input processing: 0 [demod,19,40,40] add(multiply(additive_inverse(A),B),multiply(additive_inverse(A),C))=add(multiply(additive_inverse(A),B),multiply(additive_inverse(A),C)).
% 1.77/1.99  ** KEPT (pick-wt=19): 46 [copy,45,demod,21,40,40] add(multiply(A,additive_inverse(B)),multiply(C,additive_inverse(B)))=add(multiply(additive_inverse(A),B),multiply(additive_inverse(C),B)).
% 1.77/1.99  ** KEPT (pick-wt=28): 48 [copy,47,demod,40,40,25,flip.1] add(associator(multiply(A,B),C,D),add(multiply(additive_inverse(B),associator(A,C,D)),multiply(additive_inverse(associator(B,C,D)),A)))=s(A,B,C,D).
% 1.77/1.99  ---> New Demodulator: 49 [new_demod,48] add(associator(multiply(A,B),C,D),add(multiply(additive_inverse(B),associator(A,C,D)),multiply(additive_inverse(associator(B,C,D)),A)))=s(A,B,C,D).
% 1.77/1.99  ** KEPT (pick-wt=15): 51 [copy,50,flip.1] multiply(multiply(multiply(A,B),C),B)=multiply(A,multiply(B,multiply(C,B))).
% 1.77/1.99  ---> New Demodulator: 52 [new_demod,51] multiply(multiply(multiply(A,B),C),B)=multiply(A,multiply(B,multiply(C,B))).
% 1.77/1.99  ** KEPT (pick-wt=15): 53 [] multiply(multiply(A,multiply(B,A)),C)=multiply(A,multiply(B,multiply(A,C))).
% 1.77/1.99  ---> New Demodulator: 54 [new_demod,53] multiply(multiply(A,multiply(B,A)),C)=multiply(A,multiply(B,multiply(A,C))).
% 1.77/1.99  ** KEPT (pick-wt=15): 56 [copy,55,flip.1] multiply(multiply(A,multiply(B,C)),A)=multiply(multiply(A,B),multiply(C,A)).
% 1.77/1.99  ---> New Demodulator: 57 [new_demod,56] multiply(multiply(A,multiply(B,C)),A)=multiply(multiply(A,B),multiply(C,A)).
% 1.77/1.99    Following clause subsumed by 3 during input processing: 0 [copy,3,flip.1] A=A.
% 1.77/1.99  >>>> Starting back demodulation with 5.
% 2.53/2.73  >>>> Starting back demodulation with 7.
% 2.53/2.73  >>>> Starting back demodulation with 9.
% 2.53/2.73  >>>> Starting back demodulation with 11.
% 2.53/2.73  >>>> Starting back demodulation with 13.
% 2.53/2.73  >>>> Starting back demodulation with 15.
% 2.53/2.73  >>>> Starting back demodulation with 17.
% 2.53/2.73  >>>> Starting back demodulation with 19.
% 2.53/2.73  >>>> Starting back demodulation with 21.
% 2.53/2.73    Following clause subsumed by 22 during input processing: 0 [copy,22,flip.1] add(A,B)=add(B,A).
% 2.53/2.73  >>>> Starting back demodulation with 25.
% 2.53/2.73  >>>> Starting back demodulation with 27.
% 2.53/2.73  >>>> Starting back demodulation with 29.
% 2.53/2.73  >>>> Starting back demodulation with 32.
% 2.53/2.73  >>>> Starting back demodulation with 35.
% 2.53/2.73  >>>> Starting back demodulation with 37.
% 2.53/2.73  >>>> Starting back demodulation with 40.
% 2.53/2.73      >> back demodulating 34 with 40.
% 2.53/2.73      >> back demodulating 31 with 40.
% 2.53/2.73  ** KEPT (pick-wt=9): 62 [copy,42,flip.1] multiply(additive_inverse(A),B)=multiply(A,additive_inverse(B)).
% 2.53/2.73  ** KEPT (pick-wt=17): 63 [copy,44,flip.1] add(multiply(A,B),multiply(additive_inverse(A),C))=add(multiply(A,B),multiply(A,additive_inverse(C))).
% 2.53/2.73  ** KEPT (pick-wt=19): 64 [copy,46,flip.1] add(multiply(additive_inverse(A),B),multiply(additive_inverse(C),B))=add(multiply(A,additive_inverse(B)),multiply(C,additive_inverse(B))).
% 2.53/2.73  >>>> Starting back demodulation with 49.
% 2.53/2.73  >>>> Starting back demodulation with 52.
% 2.53/2.73  >>>> Starting back demodulation with 54.
% 2.53/2.73  >>>> Starting back demodulation with 57.
% 2.53/2.73  >>>> Starting back demodulation with 59.
% 2.53/2.73  >>>> Starting back demodulation with 61.
% 2.53/2.73    Following clause subsumed by 42 during input processing: 0 [copy,62,flip.1] multiply(A,additive_inverse(B))=multiply(additive_inverse(A),B).
% 2.53/2.73    Following clause subsumed by 44 during input processing: 0 [copy,63,flip.1] add(multiply(A,B),multiply(A,additive_inverse(C)))=add(multiply(A,B),multiply(additive_inverse(A),C)).
% 2.53/2.73    Following clause subsumed by 46 during input processing: 0 [copy,64,flip.1] add(multiply(A,additive_inverse(B)),multiply(C,additive_inverse(B)))=add(multiply(additive_inverse(A),B),multiply(additive_inverse(C),B)).
% 2.53/2.73  
% 2.53/2.73  ======= end of input processing =======
% 2.53/2.73  
% 2.53/2.73  =========== start of search ===========
% 2.53/2.73  
% 2.53/2.73  
% 2.53/2.73  Resetting weight limit to 12.
% 2.53/2.73  
% 2.53/2.73  
% 2.53/2.73  Resetting weight limit to 12.
% 2.53/2.73  
% 2.53/2.73  sos_size=304
% 2.53/2.73  
% 2.53/2.73  
% 2.53/2.73  Resetting weight limit to 11.
% 2.53/2.73  
% 2.53/2.73  
% 2.53/2.73  Resetting weight limit to 11.
% 2.53/2.73  
% 2.53/2.73  sos_size=310
% 2.53/2.73  
% 2.53/2.73  Search stopped because sos empty.
% 2.53/2.73  
% 2.53/2.73  
% 2.53/2.73  Search stopped because sos empty.
% 2.53/2.73  
% 2.53/2.73  ============ end of search ============
% 2.53/2.73  
% 2.53/2.73  -------------- statistics -------------
% 2.53/2.73  clauses given                465
% 2.53/2.73  clauses generated          82551
% 2.53/2.73  clauses kept                 508
% 2.53/2.73  clauses forward subsumed   18796
% 2.53/2.73  clauses back subsumed          2
% 2.53/2.73  Kbytes malloced             7812
% 2.53/2.73  
% 2.53/2.73  ----------- times (seconds) -----------
% 2.53/2.73  user CPU time          0.73          (0 hr, 0 min, 0 sec)
% 2.53/2.73  system CPU time        0.01          (0 hr, 0 min, 0 sec)
% 2.53/2.73  wall-clock time        2             (0 hr, 0 min, 2 sec)
% 2.53/2.73  
% 2.53/2.73  Process 4113 finished Wed Jul 27 02:10:57 2022
% 2.55/2.73  Otter interrupted
% 2.55/2.73  PROOF NOT FOUND
%------------------------------------------------------------------------------