%------------------------------------------------------------------------------
% File     : Metis---2.4
% Problem  : SYN082-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : metis --show proof --show saturation %s

% Computer : n006.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 08:59:25 EDT 2022

% Result   : Unsatisfiable 0.12s 0.35s
% Output   : CNFRefutation 0.12s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :    5
% Syntax   : Number of clauses     :   19 (   5 unt;   3 nHn;  19 RR)
%            Number of literals    :   38 (   0 equ;  20 neg)
%            Maximal clause size   :    3 (   2 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   2 con; 0-1 aty)
%            Number of variables   :    6 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(clause_1,negated_conjecture,
    ( big_f(a,f(a))
    | ~ big_f(Y,b)
    | big_f(Y,f(a)) ) ).

cnf(clause_2,negated_conjecture,
    ( big_f(a,f(a))
    | big_f(a,b) ) ).

cnf(clause_5,negated_conjecture,
    ( big_f(g(X),X)
    | ~ big_f(a,X)
    | ~ big_f(a,f(a)) ) ).

cnf(clause_7,negated_conjecture,
    ( ~ big_f(g(X),X)
    | ~ big_f(a,X)
    | big_f(a,b) ) ).

cnf(clause_8,negated_conjecture,
    ( ~ big_f(g(X),X)
    | ~ big_f(a,X)
    | ~ big_f(a,f(a)) ) ).

cnf(refute_0_0,plain,
    ( ~ big_f(a,f(a))
    | big_f(g(f(a)),f(a)) ),
    inference(subst,[],[clause_5:[bind(X,$fot(f(a)))]]) ).

cnf(refute_0_1,plain,
    ( big_f(a,b)
    | big_f(g(f(a)),f(a)) ),
    inference(resolve,[$cnf( big_f(a,f(a)) )],[clause_2,refute_0_0]) ).

cnf(refute_0_2,plain,
    ( ~ big_f(a,f(a))
    | ~ big_f(g(f(a)),f(a))
    | big_f(a,b) ),
    inference(subst,[],[clause_7:[bind(X,$fot(f(a)))]]) ).

cnf(refute_0_3,plain,
    ( ~ big_f(a,f(a))
    | big_f(a,b) ),
    inference(resolve,[$cnf( big_f(g(f(a)),f(a)) )],[refute_0_1,refute_0_2]) ).

cnf(refute_0_4,plain,
    big_f(a,b),
    inference(resolve,[$cnf( big_f(a,f(a)) )],[clause_2,refute_0_3]) ).

cnf(refute_0_5,plain,
    ( ~ big_f(a,b)
    | big_f(a,f(a)) ),
    inference(subst,[],[clause_1:[bind(Y,$fot(a))]]) ).

cnf(refute_0_6,plain,
    big_f(a,f(a)),
    inference(resolve,[$cnf( big_f(a,b) )],[refute_0_4,refute_0_5]) ).

cnf(refute_0_7,plain,
    ( ~ big_f(a,X)
    | big_f(g(X),X) ),
    inference(resolve,[$cnf( big_f(a,f(a)) )],[refute_0_6,clause_5]) ).

cnf(refute_0_8,plain,
    ( ~ big_f(a,b)
    | big_f(g(b),b) ),
    inference(subst,[],[refute_0_7:[bind(X,$fot(b))]]) ).

cnf(refute_0_9,plain,
    big_f(g(b),b),
    inference(resolve,[$cnf( big_f(a,b) )],[refute_0_4,refute_0_8]) ).

cnf(refute_0_10,plain,
    ( ~ big_f(a,X)
    | ~ big_f(g(X),X) ),
    inference(resolve,[$cnf( big_f(a,f(a)) )],[refute_0_6,clause_8]) ).

cnf(refute_0_11,plain,
    ( ~ big_f(a,b)
    | ~ big_f(g(b),b) ),
    inference(subst,[],[refute_0_10:[bind(X,$fot(b))]]) ).

cnf(refute_0_12,plain,
    ~ big_f(a,b),
    inference(resolve,[$cnf( big_f(g(b),b) )],[refute_0_9,refute_0_11]) ).

cnf(refute_0_13,plain,
    $false,
    inference(resolve,[$cnf( big_f(a,b) )],[refute_0_4,refute_0_12]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : SYN082-1 : TPTP v8.1.0. Released v1.0.0.
% 0.06/0.13  % Command  : metis --show proof --show saturation %s
% 0.12/0.34  % Computer : n006.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 600
% 0.12/0.34  % DateTime : Tue Jul 12 06:17:50 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.12/0.34  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.12/0.35  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.35  
% 0.12/0.35  % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 0.12/0.35  
%------------------------------------------------------------------------------