%------------------------------------------------------------------------------
% File     : Metis---2.4
% Problem  : SYN081-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : metis --show proof --show saturation %s

% Computer : n005.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 : Thu Jul 21 08:59:24 EDT 2022

% Result   : Unsatisfiable 0.11s 0.34s
% Output   : CNFRefutation 0.11s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    3
% Syntax   : Number of clauses     :   15 (   5 unt;   4 nHn;   8 RR)
%            Number of literals    :   25 (   0 equ;   9 neg)
%            Maximal clause size   :    2 (   1 avg)
%            Maximal term depth    :    3 (   2 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-1 aty)
%            Number of functors    :    1 (   1 usr;   0 con; 1-1 aty)
%            Number of variables   :   14 (   4 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(clause_1,axiom,
    ( ~ big_f(X)
    | ~ big_f(f(X)) ) ).

cnf(clause_2,axiom,
    ( big_f(f(X))
    | big_f(X) ) ).

cnf(prove_this,negated_conjecture,
    ( ~ big_f(X)
    | big_f(f(X)) ) ).

cnf(refute_0_0,plain,
    ( big_f(X_4)
    | big_f(f(X_4)) ),
    inference(subst,[],[clause_2:[bind(X,$fot(X_4))]]) ).

cnf(refute_0_1,plain,
    ( ~ big_f(f(X_3))
    | ~ big_f(f(f(X_3))) ),
    inference(subst,[],[clause_1:[bind(X,$fot(f(X_3)))]]) ).

cnf(refute_0_2,plain,
    ( ~ big_f(f(X))
    | big_f(f(f(X))) ),
    inference(subst,[],[prove_this:[bind(X,$fot(f(X)))]]) ).

cnf(refute_0_3,plain,
    ( big_f(X)
    | big_f(f(f(X))) ),
    inference(resolve,[$cnf( big_f(f(X)) )],[clause_2,refute_0_2]) ).

cnf(refute_0_4,plain,
    ( big_f(X_3)
    | big_f(f(f(X_3))) ),
    inference(subst,[],[refute_0_3:[bind(X,$fot(X_3))]]) ).

cnf(refute_0_5,plain,
    ( ~ big_f(f(X_3))
    | big_f(X_3) ),
    inference(resolve,[$cnf( big_f(f(f(X_3))) )],[refute_0_4,refute_0_1]) ).

cnf(refute_0_6,plain,
    ( ~ big_f(f(X_4))
    | big_f(X_4) ),
    inference(subst,[],[refute_0_5:[bind(X_3,$fot(X_4))]]) ).

cnf(refute_0_7,plain,
    big_f(X_4),
    inference(resolve,[$cnf( big_f(f(X_4)) )],[refute_0_0,refute_0_6]) ).

cnf(refute_0_8,plain,
    big_f(f(X)),
    inference(subst,[],[refute_0_7:[bind(X_4,$fot(f(X)))]]) ).

cnf(refute_0_9,plain,
    ~ big_f(X),
    inference(resolve,[$cnf( big_f(f(X)) )],[refute_0_8,clause_1]) ).

cnf(refute_0_10,plain,
    big_f(X),
    inference(subst,[],[refute_0_7:[bind(X_4,$fot(X))]]) ).

cnf(refute_0_11,plain,
    $false,
    inference(resolve,[$cnf( big_f(X) )],[refute_0_10,refute_0_9]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : SYN081-1 : TPTP v8.1.0. Released v1.0.0.
% 0.11/0.12  % Command  : metis --show proof --show saturation %s
% 0.11/0.33  % Computer : n005.cluster.edu
% 0.11/0.33  % Model    : x86_64 x86_64
% 0.11/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33  % Memory   : 8042.1875MB
% 0.11/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33  % CPULimit : 300
% 0.11/0.33  % WCLimit  : 600
% 0.11/0.33  % DateTime : Mon Jul 11 13:23:52 EDT 2022
% 0.11/0.33  % CPUTime  : 
% 0.11/0.34  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.11/0.34  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.34  
% 0.11/0.34  % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 0.11/0.34  
%------------------------------------------------------------------------------