%------------------------------------------------------------------------------
% File     : Metis---2.4
% Problem  : SYN066-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : metis --show proof --show saturation %s

% Computer : n026.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 08:59:12 EDT 2022

% Result   : Unsatisfiable 0.18s 0.34s
% Output   : CNFRefutation 0.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :    4
% Syntax   : Number of clauses     :   17 (   9 unt;   4 nHn;   5 RR)
%            Number of literals    :   25 (   0 equ;   6 neg)
%            Maximal clause size   :    2 (   1 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   1 con; 0-2 aty)
%            Number of variables   :   30 (  14 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(clause_3,axiom,
    ( ~ big_p(f(X,Y),g(X))
    | big_q(h(X,Y),g(X)) ) ).

cnf(clause_4,axiom,
    ( big_p(X,Y)
    | big_q(i(X,Y),X) ) ).

cnf(clause_5,axiom,
    ( ~ big_q(X,Y)
    | big_r(Z,Z) ) ).

cnf(clause_6,negated_conjecture,
    ~ big_r(a,Z) ).

cnf(refute_0_0,plain,
    ~ big_r(a,a),
    inference(subst,[],[clause_6:[bind(Z,$fot(a))]]) ).

cnf(refute_0_1,plain,
    ( ~ big_q(h(X_13,X_14),g(X_13))
    | big_r(Z,Z) ),
    inference(subst,[],[clause_5:[bind(X,$fot(h(X_13,X_14))),bind(Y,$fot(g(X_13)))]]) ).

cnf(refute_0_2,plain,
    ( big_p(X_6,Y)
    | big_q(i(X_6,Y),X_6) ),
    inference(subst,[],[clause_4:[bind(X,$fot(X_6))]]) ).

cnf(refute_0_3,plain,
    ( ~ big_q(i(X_6,Y),X_6)
    | big_r(X_7,X_7) ),
    inference(subst,[],[clause_5:[bind(X,$fot(i(X_6,Y))),bind(Y,$fot(X_6)),bind(Z,$fot(X_7))]]) ).

cnf(refute_0_4,plain,
    ( big_p(X_6,Y)
    | big_r(X_7,X_7) ),
    inference(resolve,[$cnf( big_q(i(X_6,Y),X_6) )],[refute_0_2,refute_0_3]) ).

cnf(refute_0_5,plain,
    ( big_p(X_9,X_8)
    | big_r(a,a) ),
    inference(subst,[],[refute_0_4:[bind(Y,$fot(X_8)),bind(X_6,$fot(X_9)),bind(X_7,$fot(a))]]) ).

cnf(refute_0_6,plain,
    big_p(X_9,X_8),
    inference(resolve,[$cnf( big_r(a,a) )],[refute_0_5,refute_0_0]) ).

cnf(refute_0_7,plain,
    big_p(f(X,Y),g(X)),
    inference(subst,[],[refute_0_6:[bind(X_8,$fot(g(X))),bind(X_9,$fot(f(X,Y)))]]) ).

cnf(refute_0_8,plain,
    big_q(h(X,Y),g(X)),
    inference(resolve,[$cnf( big_p(f(X,Y),g(X)) )],[refute_0_7,clause_3]) ).

cnf(refute_0_9,plain,
    big_q(h(X_13,X_14),g(X_13)),
    inference(subst,[],[refute_0_8:[bind(X,$fot(X_13)),bind(Y,$fot(X_14))]]) ).

cnf(refute_0_10,plain,
    big_r(Z,Z),
    inference(resolve,[$cnf( big_q(h(X_13,X_14),g(X_13)) )],[refute_0_9,refute_0_1]) ).

cnf(refute_0_11,plain,
    big_r(a,a),
    inference(subst,[],[refute_0_10:[bind(Z,$fot(a))]]) ).

cnf(refute_0_12,plain,
    $false,
    inference(resolve,[$cnf( big_r(a,a) )],[refute_0_11,refute_0_0]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SYN066-1 : TPTP v8.1.0. Released v1.0.0.
% 0.11/0.12  % Command  : metis --show proof --show saturation %s
% 0.12/0.33  % Computer : n026.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Tue Jul 12 00:13:57 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.18/0.34  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.18/0.34  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.34  
% 0.18/0.34  % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 0.18/0.34  
%------------------------------------------------------------------------------