TSTP Solution File: SYN960+1 by Otter---3.3

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Otter---3.3
% Problem  : SYN960+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : otter-tptp-script %s

% Computer : n027.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 13:25:34 EDT 2022

% Result   : Theorem 1.69s 1.88s
% Output   : Refutation 1.69s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :    2
% Syntax   : Number of clauses     :    4 (   2 unt;   1 nHn;   4 RR)
%            Number of literals    :    6 (   0 equ;   3 neg)
%            Maximal clause size   :    2 (   1 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   4 con; 0-0 aty)
%            Number of variables   :    6 (   6 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(1,axiom,
    ( ~ a(A,B)
    | ~ a(C,D) ),
    file('SYN960+1.p',unknown),
    [] ).

cnf(2,plain,
    ~ a(A,B),
    inference(factor_simp,[status(thm)],[inference(copy,[status(thm)],[1])]),
    [iquote('copy,1,factor_simp')] ).

cnf(3,axiom,
    ( a(dollar_c2,dollar_c1)
    | a(dollar_c3,dollar_c4) ),
    file('SYN960+1.p',unknown),
    [] ).

cnf(4,plain,
    $false,
    inference(unit_del,[status(thm)],[inference(copy,[status(thm)],[3]),2,2]),
    [iquote('copy,3,unit_del,2,2')] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12  % Problem  : SYN960+1 : TPTP v8.1.0. Released v3.1.0.
% 0.04/0.12  % Command  : otter-tptp-script %s
% 0.12/0.32  % Computer : n027.cluster.edu
% 0.12/0.32  % Model    : x86_64 x86_64
% 0.12/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32  % Memory   : 8042.1875MB
% 0.12/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32  % CPULimit : 300
% 0.12/0.32  % WCLimit  : 300
% 0.12/0.32  % DateTime : Wed Jul 27 11:30:52 EDT 2022
% 0.12/0.32  % CPUTime  : 
% 1.69/1.88  
% 1.69/1.88  -------- PROOF -------- 
% 1.69/1.88  ----- Otter 3.3f, August 2004 -----
% 1.69/1.88  The process was started by sandbox2 on n027.cluster.edu,
% 1.69/1.88  Wed Jul 27 11:30:52 2022
% 1.69/1.88  The command was "./otter".  The process ID is 23290.
% 1.69/1.88  
% 1.69/1.88  set(prolog_style_variables).
% 1.69/1.88  set(auto).
% 1.69/1.88     dependent: set(auto1).
% 1.69/1.88     dependent: set(process_input).
% 1.69/1.88     dependent: clear(print_kept).
% 1.69/1.88     dependent: clear(print_new_demod).
% 1.69/1.88     dependent: clear(print_back_demod).
% 1.69/1.88     dependent: clear(print_back_sub).
% 1.69/1.88     dependent: set(control_memory).
% 1.69/1.88     dependent: assign(max_mem, 12000).
% 1.69/1.88     dependent: assign(pick_given_ratio, 4).
% 1.69/1.88     dependent: assign(stats_level, 1).
% 1.69/1.88     dependent: assign(max_seconds, 10800).
% 1.69/1.88  clear(print_given).
% 1.69/1.88  
% 1.69/1.88  formula_list(usable).
% 1.69/1.88  -((exists X Y a(X,Y))<-> (exists Y X a(X,Y))).
% 1.69/1.88  end_of_list.
% 1.69/1.88  
% 1.69/1.88  -------> usable clausifies to:
% 1.69/1.88  
% 1.69/1.88  list(usable).
% 1.69/1.88  0 [] a($c2,$c1)|a($c3,$c4).
% 1.69/1.88  0 [] -a(X,Y)| -a(X2,X1).
% 1.69/1.88  end_of_list.
% 1.69/1.88  
% 1.69/1.88  SCAN INPUT: prop=0, horn=0, equality=0, symmetry=0, max_lits=2.
% 1.69/1.88  
% 1.69/1.88  This is a non-Horn set without equality.  The strategy will
% 1.69/1.88  be ordered hyper_res, unit deletion, and factoring, with
% 1.69/1.88  satellites in sos and with nuclei in usable.
% 1.69/1.88  
% 1.69/1.88     dependent: set(hyper_res).
% 1.69/1.88     dependent: set(factor).
% 1.69/1.88     dependent: set(unit_deletion).
% 1.69/1.88  
% 1.69/1.88  ------------> process usable:
% 1.69/1.88  ** KEPT (pick-wt=3): 2 [copy,1,factor_simp] -a(A,B).
% 1.69/1.88  
% 1.69/1.88  ------------> process sos:
% 1.69/1.88  ** KEPT (pick-wt=0): 4 [copy,3,unit_del,2,2] $F.
% 1.69/1.88  
% 1.69/1.88  -----> EMPTY CLAUSE at   0.00 sec ----> 4 [copy,3,unit_del,2,2] $F.
% 1.69/1.88  
% 1.69/1.88  Length of proof is 1.  Level of proof is 1.
% 1.69/1.88  
% 1.69/1.88  ---------------- PROOF ----------------
% 1.69/1.88  % SZS status Theorem
% 1.69/1.88  % SZS output start Refutation
% See solution above
% 1.69/1.88  ------------ end of proof -------------
% 1.69/1.88  
% 1.69/1.88  
% 1.69/1.88  Search stopped by max_proofs option.
% 1.69/1.88  
% 1.69/1.88  
% 1.69/1.88  Search stopped by max_proofs option.
% 1.69/1.88  
% 1.69/1.88  ============ end of search ============
% 1.69/1.88  
% 1.69/1.88  -------------- statistics -------------
% 1.69/1.88  clauses given                  0
% 1.69/1.88  clauses generated              0
% 1.69/1.88  clauses kept                   1
% 1.69/1.88  clauses forward subsumed       0
% 1.69/1.88  clauses back subsumed          0
% 1.69/1.88  Kbytes malloced              976
% 1.69/1.88  
% 1.69/1.88  ----------- times (seconds) -----------
% 1.69/1.88  user CPU time          0.00          (0 hr, 0 min, 0 sec)
% 1.69/1.88  system CPU time        0.00          (0 hr, 0 min, 0 sec)
% 1.69/1.88  wall-clock time        1             (0 hr, 0 min, 1 sec)
% 1.69/1.88  
% 1.69/1.88  That finishes the proof of the theorem.
% 1.69/1.88  
% 1.69/1.88  Process 23290 finished Wed Jul 27 11:30:53 2022
% 1.69/1.88  Otter interrupted
% 1.69/1.88  PROOF FOUND
%------------------------------------------------------------------------------