TSTP Solution File: ROB030-1 by Otter---3.3

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Otter---3.3
% Problem  : ROB030-1 : TPTP v8.1.0. Released v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : otter-tptp-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  : 300s
% DateTime : Wed Jul 27 13:12:24 EDT 2022

% Result   : Unsatisfiable 1.89s 2.09s
% Output   : Refutation 1.89s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :    3
% Syntax   : Number of clauses     :    5 (   5 unt;   0 nHn;   4 RR)
%            Number of literals    :    5 (   4 equ;   2 neg)
%            Maximal clause size   :    1 (   1 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   2 con; 0-2 aty)
%            Number of variables   :    3 (   1 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(1,axiom,
    negate(add(A,B)) != negate(B),
    file('ROB030-1.p',unknown),
    [] ).

cnf(2,axiom,
    A = A,
    file('ROB030-1.p',unknown),
    [] ).

cnf(8,axiom,
    add(c,d) = d,
    file('ROB030-1.p',unknown),
    [] ).

cnf(10,plain,
    negate(d) != negate(d),
    inference(para_from,[status(thm),theory(equality)],[8,1]),
    [iquote('para_from,8.1.1,1.1.1.1')] ).

cnf(11,plain,
    $false,
    inference(binary,[status(thm)],[10,2]),
    [iquote('binary,10.1,2.1')] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11  % Problem  : ROB030-1 : TPTP v8.1.0. Released v3.1.0.
% 0.10/0.12  % Command  : otter-tptp-script %s
% 0.13/0.33  % Computer : n013.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 300
% 0.13/0.33  % DateTime : Wed Jul 27 03:59:30 EDT 2022
% 0.13/0.33  % CPUTime  : 
% 1.89/2.09  ----- Otter 3.3f, August 2004 -----
% 1.89/2.09  The process was started by sandbox2 on n013.cluster.edu,
% 1.89/2.09  Wed Jul 27 03:59:30 2022
% 1.89/2.09  The command was "./otter".  The process ID is 8102.
% 1.89/2.09  
% 1.89/2.09  set(prolog_style_variables).
% 1.89/2.09  set(auto).
% 1.89/2.09     dependent: set(auto1).
% 1.89/2.09     dependent: set(process_input).
% 1.89/2.09     dependent: clear(print_kept).
% 1.89/2.09     dependent: clear(print_new_demod).
% 1.89/2.09     dependent: clear(print_back_demod).
% 1.89/2.09     dependent: clear(print_back_sub).
% 1.89/2.09     dependent: set(control_memory).
% 1.89/2.09     dependent: assign(max_mem, 12000).
% 1.89/2.09     dependent: assign(pick_given_ratio, 4).
% 1.89/2.09     dependent: assign(stats_level, 1).
% 1.89/2.09     dependent: assign(max_seconds, 10800).
% 1.89/2.09  clear(print_given).
% 1.89/2.09  
% 1.89/2.09  list(usable).
% 1.89/2.09  0 [] A=A.
% 1.89/2.09  0 [] add(X,Y)=add(Y,X).
% 1.89/2.09  0 [] add(add(X,Y),Z)=add(X,add(Y,Z)).
% 1.89/2.09  0 [] negate(add(negate(add(X,Y)),negate(add(X,negate(Y)))))=X.
% 1.89/2.09  0 [] add(c,d)=d.
% 1.89/2.09  0 [] negate(add(A,B))!=negate(B).
% 1.89/2.09  end_of_list.
% 1.89/2.09  
% 1.89/2.09  SCAN INPUT: prop=0, horn=1, equality=1, symmetry=0, max_lits=1.
% 1.89/2.09  
% 1.89/2.09  All clauses are units, and equality is present; the
% 1.89/2.09  strategy will be Knuth-Bendix with positive clauses in sos.
% 1.89/2.09  
% 1.89/2.09     dependent: set(knuth_bendix).
% 1.89/2.09     dependent: set(anl_eq).
% 1.89/2.09     dependent: set(para_from).
% 1.89/2.09     dependent: set(para_into).
% 1.89/2.09     dependent: clear(para_from_right).
% 1.89/2.09     dependent: clear(para_into_right).
% 1.89/2.09     dependent: set(para_from_vars).
% 1.89/2.09     dependent: set(eq_units_both_ways).
% 1.89/2.09     dependent: set(dynamic_demod_all).
% 1.89/2.09     dependent: set(dynamic_demod).
% 1.89/2.09     dependent: set(order_eq).
% 1.89/2.09     dependent: set(back_demod).
% 1.89/2.09     dependent: set(lrpo).
% 1.89/2.09  
% 1.89/2.09  ------------> process usable:
% 1.89/2.09  ** KEPT (pick-wt=7): 1 [] negate(add(A,B))!=negate(B).
% 1.89/2.09  
% 1.89/2.09  ------------> process sos:
% 1.89/2.09  ** KEPT (pick-wt=3): 2 [] A=A.
% 1.89/2.09  ** KEPT (pick-wt=7): 3 [] add(A,B)=add(B,A).
% 1.89/2.09  ** KEPT (pick-wt=11): 4 [] add(add(A,B),C)=add(A,add(B,C)).
% 1.89/2.09  ---> New Demodulator: 5 [new_demod,4] add(add(A,B),C)=add(A,add(B,C)).
% 1.89/2.09  ** KEPT (pick-wt=13): 6 [] negate(add(negate(add(A,B)),negate(add(A,negate(B)))))=A.
% 1.89/2.09  ---> New Demodulator: 7 [new_demod,6] negate(add(negate(add(A,B)),negate(add(A,negate(B)))))=A.
% 1.89/2.09  ** KEPT (pick-wt=5): 8 [] add(c,d)=d.
% 1.89/2.09  ---> New Demodulator: 9 [new_demod,8] add(c,d)=d.
% 1.89/2.09    Following clause subsumed by 2 during input processing: 0 [copy,2,flip.1] A=A.
% 1.89/2.09    Following clause subsumed by 3 during input processing: 0 [copy,3,flip.1] add(A,B)=add(B,A).
% 1.89/2.09  >>>> Starting back demodulation with 5.
% 1.89/2.09  >>>> Starting back demodulation with 7.
% 1.89/2.09  >>>> Starting back demodulation with 9.
% 1.89/2.09  
% 1.89/2.09  ======= end of input processing =======
% 1.89/2.09  
% 1.89/2.09  =========== start of search ===========
% 1.89/2.09  
% 1.89/2.09  -------- PROOF -------- 
% 1.89/2.09  
% 1.89/2.09  ----> UNIT CONFLICT at   0.00 sec ----> 11 [binary,10.1,2.1] $F.
% 1.89/2.09  
% 1.89/2.09  Length of proof is 1.  Level of proof is 1.
% 1.89/2.09  
% 1.89/2.09  ---------------- PROOF ----------------
% 1.89/2.09  % SZS status Unsatisfiable
% 1.89/2.09  % SZS output start Refutation
% See solution above
% 1.89/2.09  ------------ end of proof -------------
% 1.89/2.09  
% 1.89/2.09  
% 1.89/2.09  Search stopped by max_proofs option.
% 1.89/2.09  
% 1.89/2.09  
% 1.89/2.09  Search stopped by max_proofs option.
% 1.89/2.09  
% 1.89/2.09  ============ end of search ============
% 1.89/2.09  
% 1.89/2.09  -------------- statistics -------------
% 1.89/2.09  clauses given                  2
% 1.89/2.09  clauses generated              3
% 1.89/2.09  clauses kept                   7
% 1.89/2.09  clauses forward subsumed       4
% 1.89/2.09  clauses back subsumed          0
% 1.89/2.09  Kbytes malloced              976
% 1.89/2.09  
% 1.89/2.09  ----------- times (seconds) -----------
% 1.89/2.09  user CPU time          0.00          (0 hr, 0 min, 0 sec)
% 1.89/2.09  system CPU time        0.00          (0 hr, 0 min, 0 sec)
% 1.89/2.09  wall-clock time        1             (0 hr, 0 min, 1 sec)
% 1.89/2.09  
% 1.89/2.09  That finishes the proof of the theorem.
% 1.89/2.09  
% 1.89/2.09  Process 8102 finished Wed Jul 27 03:59:31 2022
% 1.89/2.09  Otter interrupted
% 1.89/2.09  PROOF FOUND
%------------------------------------------------------------------------------