%------------------------------------------------------------------------------
% File     : SPASS---3.9
% Problem  : COL029-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp
% Command  : run_spass %d %s

% Computer : n032.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 : Fri Jul 15 00:42:26 EDT 2022

% Result   : Unsatisfiable 0.15s 0.36s
% Output   : Refutation 0.15s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    1
%            Number of leaves      :    2
% Syntax   : Number of clauses     :    3 (   3 unt;   0 nHn;   3 RR)
%            Number of literals    :    3 (   0 equ;   1 neg)
%            Maximal clause size   :    1 (   1 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   3 con; 0-2 aty)
%            Number of variables   :    0 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(1,axiom,
    equal(apply(u,apply(apply(v,v),u)),apply(apply(u__dfg,v),u)),
    file('COL029-1.p',unknown),
    [] ).

cnf(2,axiom,
    ~ equal(apply(f(u),apply(u,f(u))),apply(u,f(u))),
    file('COL029-1.p',unknown),
    [] ).

cnf(3,plain,
    $false,
    inference(unc,[status(thm)],[1,2]),
    [iquote('0:UnC:1.0,2.0')] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.10  % Problem  : COL029-1 : TPTP v8.1.0. Released v1.0.0.
% 0.06/0.11  % Command  : run_spass %d %s
% 0.11/0.30  % Computer : n032.cluster.edu
% 0.11/0.30  % Model    : x86_64 x86_64
% 0.11/0.30  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.30  % Memory   : 8042.1875MB
% 0.11/0.30  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.30  % CPULimit : 300
% 0.11/0.30  % WCLimit  : 600
% 0.11/0.30  % DateTime : Tue May 31 15:24:28 EDT 2022
% 0.11/0.30  % CPUTime  : 
% 0.15/0.36  
% 0.15/0.36  SPASS V 3.9 
% 0.15/0.36  SPASS beiseite: Proof found.
% 0.15/0.36  % SZS status Theorem
% 0.15/0.36  Problem: /export/starexec/sandbox/benchmark/theBenchmark.p 
% 0.15/0.36  SPASS derived 0 clauses, backtracked 0 clauses, performed 0 splits and kept 2 clauses.
% 0.15/0.36  SPASS allocated 63076 KBytes.
% 0.15/0.36  SPASS spent	0:00:00.05 on the problem.
% 0.15/0.36  		0:00:00.03 for the input.
% 0.15/0.36  		0:00:00.00 for the FLOTTER CNF translation.
% 0.15/0.36  		0:00:00.00 for inferences.
% 0.15/0.36  		0:00:00.00 for the backtracking.
% 0.15/0.36  		0:00:00.00 for the reduction.
% 0.15/0.36  
% 0.15/0.36  
% 0.15/0.36  Here is a proof with depth 0, length 3 :
% 0.15/0.36  % SZS output start Refutation
% See solution above
% 0.15/0.36  Formulae used in the proof : u_definition prove_fixed_point
% 0.15/0.36  
%------------------------------------------------------------------------------