%------------------------------------------------------------------------------
% File     : Metis---2.4
% Problem  : SYN050-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : metis --show proof --show saturation %s

% Computer : n015.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 08:58:57 EDT 2022

% Result   : Unsatisfiable 0.13s 0.34s
% Output   : CNFRefutation 0.13s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    4
% Syntax   : Number of clauses     :   10 (   7 unt;   0 nHn;  10 RR)
%            Number of literals    :   14 (   0 equ;  10 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-1 aty)
%            Number of functors    :    3 (   3 usr;   2 con; 0-2 aty)
%            Number of variables   :    9 (   7 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(clause_1,negated_conjecture,
    ( ~ big_p(Y)
    | ~ big_q(Z)
    | big_r(f(Y,Z)) ) ).

cnf(clause_3,negated_conjecture,
    big_p(a) ).

cnf(clause_4,negated_conjecture,
    big_q(b) ).

cnf(clause_5,negated_conjecture,
    ~ big_r(W) ).

cnf(refute_0_0,plain,
    ~ big_r(f(Y,Z)),
    inference(subst,[],[clause_5:[bind(W,$fot(f(Y,Z)))]]) ).

cnf(refute_0_1,plain,
    ( ~ big_p(Y)
    | ~ big_q(Z) ),
    inference(resolve,[$cnf( big_r(f(Y,Z)) )],[clause_1,refute_0_0]) ).

cnf(refute_0_2,plain,
    ( ~ big_p(X_1)
    | ~ big_q(b) ),
    inference(subst,[],[refute_0_1:[bind(Y,$fot(X_1)),bind(Z,$fot(b))]]) ).

cnf(refute_0_3,plain,
    ~ big_p(X_1),
    inference(resolve,[$cnf( big_q(b) )],[clause_4,refute_0_2]) ).

cnf(refute_0_4,plain,
    ~ big_p(a),
    inference(subst,[],[refute_0_3:[bind(X_1,$fot(a))]]) ).

cnf(refute_0_5,plain,
    $false,
    inference(resolve,[$cnf( big_p(a) )],[clause_3,refute_0_4]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11  % Problem  : SYN050-1 : TPTP v8.1.0. Released v1.0.0.
% 0.06/0.12  % Command  : metis --show proof --show saturation %s
% 0.13/0.33  % Computer : n015.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 600
% 0.13/0.33  % DateTime : Mon Jul 11 13:29:39 EDT 2022
% 0.13/0.33  % CPUTime  : 
% 0.13/0.33  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.13/0.34  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.34  
% 0.13/0.34  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.13/0.34  
%------------------------------------------------------------------------------