TSTP Solution File: KLE034+1 by Otter---3.3

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Otter---3.3
% Problem  : KLE034+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : otter-tptp-script %s

% Computer : n019.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 13:00:34 EDT 2022

% Result   : Unknown 53.39s 53.65s
% Output   : None 
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : KLE034+1 : TPTP v8.1.0. Released v4.0.0.
% 0.06/0.12  % Command  : otter-tptp-script %s
% 0.12/0.33  % Computer : n019.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  : 300
% 0.12/0.33  % DateTime : Wed Jul 27 06:33:52 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 1.70/1.93  ----- Otter 3.3f, August 2004 -----
% 1.70/1.93  The process was started by sandbox2 on n019.cluster.edu,
% 1.70/1.93  Wed Jul 27 06:33:52 2022
% 1.70/1.93  The command was "./otter".  The process ID is 14642.
% 1.70/1.93  
% 1.70/1.93  set(prolog_style_variables).
% 1.70/1.93  set(auto).
% 1.70/1.93     dependent: set(auto1).
% 1.70/1.93     dependent: set(process_input).
% 1.70/1.93     dependent: clear(print_kept).
% 1.70/1.93     dependent: clear(print_new_demod).
% 1.70/1.93     dependent: clear(print_back_demod).
% 1.70/1.93     dependent: clear(print_back_sub).
% 1.70/1.93     dependent: set(control_memory).
% 1.70/1.93     dependent: assign(max_mem, 12000).
% 1.70/1.93     dependent: assign(pick_given_ratio, 4).
% 1.70/1.93     dependent: assign(stats_level, 1).
% 1.70/1.93     dependent: assign(max_seconds, 10800).
% 1.70/1.93  clear(print_given).
% 1.70/1.93  
% 1.70/1.93  formula_list(usable).
% 1.70/1.93  all A (A=A).
% 1.70/1.93  all A B (addition(A,B)=addition(B,A)).
% 1.70/1.93  all C B A (addition(A,addition(B,C))=addition(addition(A,B),C)).
% 1.70/1.93  all A (addition(A,zero)=A).
% 1.70/1.93  all A (addition(A,A)=A).
% 1.70/1.93  all A B C (multiplication(A,multiplication(B,C))=multiplication(multiplication(A,B),C)).
% 1.70/1.93  all A (multiplication(A,one)=A).
% 1.70/1.93  all A (multiplication(one,A)=A).
% 1.70/1.93  all A B C (multiplication(A,addition(B,C))=addition(multiplication(A,B),multiplication(A,C))).
% 1.70/1.93  all A B C (multiplication(addition(A,B),C)=addition(multiplication(A,C),multiplication(B,C))).
% 1.70/1.93  all A (multiplication(A,zero)=zero).
% 1.70/1.93  all A (multiplication(zero,A)=zero).
% 1.70/1.93  all A B (le_q(A,B)<->addition(A,B)=B).
% 1.70/1.93  all X0 (test(X0)<-> (exists X1 complement(X1,X0))).
% 1.70/1.93  all X0 X1 (complement(X1,X0)<->multiplication(X0,X1)=zero&multiplication(X1,X0)=zero&addition(X0,X1)=one).
% 1.70/1.93  all X0 X1 (test(X0)-> (c(X0)=X1<->complement(X0,X1))).
% 1.70/1.93  all X0 (-test(X0)->c(X0)=zero).
% 1.70/1.93  -(all X0 X1 X2 X3 X4 (test(X3)&test(X2)&test(X4)&le_q(multiplication(multiplication(X2,X0),c(X3)),zero)&le_q(multiplication(multiplication(X3,X1),c(X4)),zero)->le_q(multiplication(multiplication(multiplication(X2,X0),X1),c(X4)),zero))).
% 1.70/1.93  end_of_list.
% 1.70/1.93  
% 1.70/1.93  -------> usable clausifies to:
% 1.70/1.93  
% 1.70/1.93  list(usable).
% 1.70/1.93  0 [] A=A.
% 1.70/1.93  0 [] addition(A,B)=addition(B,A).
% 1.70/1.93  0 [] addition(A,addition(B,C))=addition(addition(A,B),C).
% 1.70/1.93  0 [] addition(A,zero)=A.
% 1.70/1.93  0 [] addition(A,A)=A.
% 1.70/1.93  0 [] multiplication(A,multiplication(B,C))=multiplication(multiplication(A,B),C).
% 1.70/1.93  0 [] multiplication(A,one)=A.
% 1.70/1.93  0 [] multiplication(one,A)=A.
% 1.70/1.93  0 [] multiplication(A,addition(B,C))=addition(multiplication(A,B),multiplication(A,C)).
% 1.70/1.93  0 [] multiplication(addition(A,B),C)=addition(multiplication(A,C),multiplication(B,C)).
% 1.70/1.93  0 [] multiplication(A,zero)=zero.
% 1.70/1.93  0 [] multiplication(zero,A)=zero.
% 1.70/1.93  0 [] -le_q(A,B)|addition(A,B)=B.
% 1.70/1.93  0 [] le_q(A,B)|addition(A,B)!=B.
% 1.70/1.93  0 [] -test(X0)|complement($f1(X0),X0).
% 1.70/1.93  0 [] test(X0)| -complement(X1,X0).
% 1.70/1.93  0 [] -complement(X1,X0)|multiplication(X0,X1)=zero.
% 1.70/1.93  0 [] -complement(X1,X0)|multiplication(X1,X0)=zero.
% 1.70/1.93  0 [] -complement(X1,X0)|addition(X0,X1)=one.
% 1.70/1.93  0 [] complement(X1,X0)|multiplication(X0,X1)!=zero|multiplication(X1,X0)!=zero|addition(X0,X1)!=one.
% 1.70/1.93  0 [] -test(X0)|c(X0)!=X1|complement(X0,X1).
% 1.70/1.93  0 [] -test(X0)|c(X0)=X1| -complement(X0,X1).
% 1.70/1.93  0 [] test(X0)|c(X0)=zero.
% 1.70/1.93  0 [] test($c2).
% 1.70/1.93  0 [] test($c3).
% 1.70/1.93  0 [] test($c1).
% 1.70/1.93  0 [] le_q(multiplication(multiplication($c3,$c5),c($c2)),zero).
% 1.70/1.93  0 [] le_q(multiplication(multiplication($c2,$c4),c($c1)),zero).
% 1.70/1.93  0 [] -le_q(multiplication(multiplication(multiplication($c3,$c5),$c4),c($c1)),zero).
% 1.70/1.93  end_of_list.
% 1.70/1.93  
% 1.70/1.93  SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=4.
% 1.70/1.93  
% 1.70/1.93  This ia a non-Horn set with equality.  The strategy will be
% 1.70/1.93  Knuth-Bendix, ordered hyper_res, factoring, and unit
% 1.70/1.93  deletion, with positive clauses in sos and nonpositive
% 1.70/1.93  clauses in usable.
% 1.70/1.93  
% 1.70/1.93     dependent: set(knuth_bendix).
% 1.70/1.93     dependent: set(anl_eq).
% 1.70/1.93     dependent: set(para_from).
% 1.70/1.93     dependent: set(para_into).
% 1.70/1.93     dependent: clear(para_from_right).
% 1.70/1.93     dependent: clear(para_into_right).
% 1.70/1.93     dependent: set(para_from_vars).
% 1.70/1.93     dependent: set(eq_units_both_ways).
% 1.70/1.93     dependent: set(dynamic_demod_all).
% 1.70/1.93     dependent: set(dynamic_demod).
% 1.70/1.93     dependent: set(order_eq).
% 1.70/1.93     dependent: set(back_demod).
% 1.70/1.93     dependent: set(lrpo).
% 1.70/1.93     dependent: set(hyper_res).
% 1.70/1.93     dependent: set(unit_deletion).
% 1.70/1.93     dependent: set(factor).
% 1.70/1.93  
% 1.70/1.93  ------------> process usable:
% 1.70/1.93  ** KEPT (pick-wt=8): 1 [] -le_q(A,B)|addition(A,B)=B.
% 1.70/1.93  ** KEPT (pick-wt=8): 2 [] le_q(A,B)|addition(A,B)!=B.
% 1.70/1.93  ** KEPT (pick-wt=6): 3 [] -test(A)|complement($f1(A),A).
% 53.39/53.65  ** KEPT (pick-wt=5): 4 [] test(A)| -complement(B,A).
% 53.39/53.65  ** KEPT (pick-wt=8): 5 [] -complement(A,B)|multiplication(B,A)=zero.
% 53.39/53.65  ** KEPT (pick-wt=8): 6 [] -complement(A,B)|multiplication(A,B)=zero.
% 53.39/53.65  ** KEPT (pick-wt=8): 7 [] -complement(A,B)|addition(B,A)=one.
% 53.39/53.65  ** KEPT (pick-wt=18): 8 [] complement(A,B)|multiplication(B,A)!=zero|multiplication(A,B)!=zero|addition(B,A)!=one.
% 53.39/53.65  ** KEPT (pick-wt=9): 9 [] -test(A)|c(A)!=B|complement(A,B).
% 53.39/53.65  ** KEPT (pick-wt=9): 10 [] -test(A)|c(A)=B| -complement(A,B).
% 53.39/53.65  ** KEPT (pick-wt=10): 11 [] -le_q(multiplication(multiplication(multiplication($c3,$c5),$c4),c($c1)),zero).
% 53.39/53.65  
% 53.39/53.65  ------------> process sos:
% 53.39/53.65  ** KEPT (pick-wt=3): 13 [] A=A.
% 53.39/53.65  ** KEPT (pick-wt=7): 14 [] addition(A,B)=addition(B,A).
% 53.39/53.65  ** KEPT (pick-wt=11): 16 [copy,15,flip.1] addition(addition(A,B),C)=addition(A,addition(B,C)).
% 53.39/53.65  ---> New Demodulator: 17 [new_demod,16] addition(addition(A,B),C)=addition(A,addition(B,C)).
% 53.39/53.65  ** KEPT (pick-wt=5): 18 [] addition(A,zero)=A.
% 53.39/53.65  ---> New Demodulator: 19 [new_demod,18] addition(A,zero)=A.
% 53.39/53.65  ** KEPT (pick-wt=5): 20 [] addition(A,A)=A.
% 53.39/53.65  ---> New Demodulator: 21 [new_demod,20] addition(A,A)=A.
% 53.39/53.65  ** KEPT (pick-wt=11): 23 [copy,22,flip.1] multiplication(multiplication(A,B),C)=multiplication(A,multiplication(B,C)).
% 53.39/53.65  ---> New Demodulator: 24 [new_demod,23] multiplication(multiplication(A,B),C)=multiplication(A,multiplication(B,C)).
% 53.39/53.65  ** KEPT (pick-wt=5): 25 [] multiplication(A,one)=A.
% 53.39/53.65  ---> New Demodulator: 26 [new_demod,25] multiplication(A,one)=A.
% 53.39/53.65  ** KEPT (pick-wt=5): 27 [] multiplication(one,A)=A.
% 53.39/53.65  ---> New Demodulator: 28 [new_demod,27] multiplication(one,A)=A.
% 53.39/53.65  ** KEPT (pick-wt=13): 29 [] multiplication(A,addition(B,C))=addition(multiplication(A,B),multiplication(A,C)).
% 53.39/53.65  ---> New Demodulator: 30 [new_demod,29] multiplication(A,addition(B,C))=addition(multiplication(A,B),multiplication(A,C)).
% 53.39/53.65  ** KEPT (pick-wt=13): 31 [] multiplication(addition(A,B),C)=addition(multiplication(A,C),multiplication(B,C)).
% 53.39/53.65  ---> New Demodulator: 32 [new_demod,31] multiplication(addition(A,B),C)=addition(multiplication(A,C),multiplication(B,C)).
% 53.39/53.65  ** KEPT (pick-wt=5): 33 [] multiplication(A,zero)=zero.
% 53.39/53.65  ---> New Demodulator: 34 [new_demod,33] multiplication(A,zero)=zero.
% 53.39/53.65  ** KEPT (pick-wt=5): 35 [] multiplication(zero,A)=zero.
% 53.39/53.65  ---> New Demodulator: 36 [new_demod,35] multiplication(zero,A)=zero.
% 53.39/53.65  ** KEPT (pick-wt=6): 37 [] test(A)|c(A)=zero.
% 53.39/53.65  ** KEPT (pick-wt=2): 38 [] test($c2).
% 53.39/53.65  ** KEPT (pick-wt=2): 39 [] test($c3).
% 53.39/53.65  ** KEPT (pick-wt=2): 40 [] test($c1).
% 53.39/53.65  ** KEPT (pick-wt=8): 42 [copy,41,demod,24] le_q(multiplication($c3,multiplication($c5,c($c2))),zero).
% 53.39/53.65  ** KEPT (pick-wt=8): 44 [copy,43,demod,24] le_q(multiplication($c2,multiplication($c4,c($c1))),zero).
% 53.39/53.65    Following clause subsumed by 13 during input processing: 0 [copy,13,flip.1] A=A.
% 53.39/53.65    Following clause subsumed by 14 during input processing: 0 [copy,14,flip.1] addition(A,B)=addition(B,A).
% 53.39/53.65  >>>> Starting back demodulation with 17.
% 53.39/53.65  >>>> Starting back demodulation with 19.
% 53.39/53.65  >>>> Starting back demodulation with 21.
% 53.39/53.65      >> back demodulating 12 with 21.
% 53.39/53.65  >>>> Starting back demodulation with 24.
% 53.39/53.65      >> back demodulating 11 with 24.
% 53.39/53.65  >>>> Starting back demodulation with 26.
% 53.39/53.65  >>>> Starting back demodulation with 28.
% 53.39/53.65  >>>> Starting back demodulation with 30.
% 53.39/53.65  >>>> Starting back demodulation with 32.
% 53.39/53.65  >>>> Starting back demodulation with 34.
% 53.39/53.65  >>>> Starting back demodulation with 36.
% 53.39/53.65  
% 53.39/53.65  ======= end of input processing =======
% 53.39/53.65  
% 53.39/53.65  =========== start of search ===========
% 53.39/53.65  
% 53.39/53.65  
% 53.39/53.65  Resetting weight limit to 7.
% 53.39/53.65  
% 53.39/53.65  
% 53.39/53.65  Resetting weight limit to 7.
% 53.39/53.65  
% 53.39/53.65  sos_size=2133
% 53.39/53.65  
% 53.39/53.65  Search stopped because sos empty.
% 53.39/53.65  
% 53.39/53.65  
% 53.39/53.65  Search stopped because sos empty.
% 53.39/53.65  
% 53.39/53.65  ============ end of search ============
% 53.39/53.65  
% 53.39/53.65  -------------- statistics -------------
% 53.39/53.65  clauses given               2659
% 53.39/53.65  clauses generated        2043315
% 53.39/53.65  clauses kept                3797
% 53.39/53.65  clauses forward subsumed  118076
% 53.39/53.65  clauses back subsumed       1132
% 53.39/53.65  Kbytes malloced             6835
% 53.39/53.65  
% 53.39/53.65  ----------- times (seconds) -----------
% 53.39/53.65  user CPU time         51.71          (0 hr, 0 min, 51 sec)
% 53.39/53.65  system CPU time        0.01          (0 hr, 0 min, 0 sec)
% 53.39/53.65  wall-clock time       53             (0 hr, 0 min, 53 sec)
% 53.39/53.65  
% 53.39/53.65  Process 14642 finished Wed Jul 27 06:34:45 2022
% 53.39/53.65  Otter interrupted
% 53.39/53.65  PROOF NOT FOUND
%------------------------------------------------------------------------------