%------------------------------------------------------------------------------
% File     : Metis---2.4
% Problem  : SYN054-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : metis --show proof --show saturation %s

% Computer : n014.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 08:59:01 EDT 2022

% Result   : Unsatisfiable 0.12s 0.34s
% Output   : CNFRefutation 0.12s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :    5
% Syntax   : Number of clauses     :   20 (   5 unt;   5 nHn;  20 RR)
%            Number of literals    :   37 (   0 equ;  18 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    5 (   4 usr;   1 prp; 0-1 aty)
%            Number of functors    :    2 (   2 usr;   2 con; 0-0 aty)
%            Number of variables   :    4 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(clause_1,axiom,
    ( ~ big_s(X)
    | ~ big_q(X) ) ).

cnf(clause_2,axiom,
    ( ~ big_p(X)
    | big_q(X)
    | big_r(X) ) ).

cnf(clause_3,axiom,
    ( big_p(a)
    | big_q(b) ) ).

cnf(clause_4,axiom,
    ( ~ big_q(X)
    | big_s(X) ) ).

cnf(clause_6,negated_conjecture,
    ( ~ big_p(X)
    | ~ big_r(X) ) ).

cnf(refute_0_0,plain,
    ( ~ big_q(a)
    | ~ big_s(a) ),
    inference(subst,[],[clause_1:[bind(X,$fot(a))]]) ).

cnf(refute_0_1,plain,
    ( ~ big_q(a)
    | big_s(a) ),
    inference(subst,[],[clause_4:[bind(X,$fot(a))]]) ).

cnf(refute_0_2,plain,
    ( ~ big_p(a)
    | ~ big_r(a) ),
    inference(subst,[],[clause_6:[bind(X,$fot(a))]]) ).

cnf(refute_0_3,plain,
    ( ~ big_q(b)
    | big_s(b) ),
    inference(subst,[],[clause_4:[bind(X,$fot(b))]]) ).

cnf(refute_0_4,plain,
    ( big_p(a)
    | big_s(b) ),
    inference(resolve,[$cnf( big_q(b) )],[clause_3,refute_0_3]) ).

cnf(refute_0_5,plain,
    ( ~ big_q(b)
    | ~ big_s(b) ),
    inference(subst,[],[clause_1:[bind(X,$fot(b))]]) ).

cnf(refute_0_6,plain,
    ( ~ big_q(b)
    | big_p(a) ),
    inference(resolve,[$cnf( big_s(b) )],[refute_0_4,refute_0_5]) ).

cnf(refute_0_7,plain,
    big_p(a),
    inference(resolve,[$cnf( big_q(b) )],[clause_3,refute_0_6]) ).

cnf(refute_0_8,plain,
    ( ~ big_p(a)
    | big_q(a)
    | big_r(a) ),
    inference(subst,[],[clause_2:[bind(X,$fot(a))]]) ).

cnf(refute_0_9,plain,
    ( big_q(a)
    | big_r(a) ),
    inference(resolve,[$cnf( big_p(a) )],[refute_0_7,refute_0_8]) ).

cnf(refute_0_10,plain,
    ( ~ big_p(a)
    | big_q(a) ),
    inference(resolve,[$cnf( big_r(a) )],[refute_0_9,refute_0_2]) ).

cnf(refute_0_11,plain,
    big_q(a),
    inference(resolve,[$cnf( big_p(a) )],[refute_0_7,refute_0_10]) ).

cnf(refute_0_12,plain,
    big_s(a),
    inference(resolve,[$cnf( big_q(a) )],[refute_0_11,refute_0_1]) ).

cnf(refute_0_13,plain,
    ~ big_q(a),
    inference(resolve,[$cnf( big_s(a) )],[refute_0_12,refute_0_0]) ).

cnf(refute_0_14,plain,
    $false,
    inference(resolve,[$cnf( big_q(a) )],[refute_0_11,refute_0_13]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SYN054-1 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.12  % Command  : metis --show proof --show saturation %s
% 0.12/0.33  % Computer : n014.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 : Mon Jul 11 11:30:34 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.12/0.34  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.12/0.34  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.34  
% 0.12/0.34  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.12/0.34  
%------------------------------------------------------------------------------