%------------------------------------------------------------------------------
% File     : Metis---2.4
% Problem  : SYN248-1 : TPTP v8.1.0. Released v1.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : metis --show proof --show saturation %s

% Computer : n023.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 09:00:43 EDT 2022

% Result   : Unsatisfiable 0.18s 0.49s
% Output   : CNFRefutation 0.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    6
% Syntax   : Number of clauses     :   17 (   9 unt;   0 nHn;  16 RR)
%            Number of literals    :   29 (   0 equ;  13 neg)
%            Maximal clause size   :    4 (   1 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    5 (   4 usr;   1 prp; 0-3 aty)
%            Number of functors    :    4 (   4 usr;   4 con; 0-0 aty)
%            Number of variables   :    9 (   2 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(axiom_17,axiom,
    q0(X,d) ).

cnf(axiom_26,axiom,
    n0(d,c) ).

cnf(axiom_37,axiom,
    n0(b,a) ).

cnf(rule_001,axiom,
    ( k1(I)
    | ~ n0(J,I) ) ).

cnf(rule_034,axiom,
    ( m1(A,B,B)
    | ~ k1(a)
    | ~ k1(B)
    | ~ q0(A,A) ) ).

cnf(prove_this,negated_conjecture,
    ~ m1(d,c,c) ).

cnf(refute_0_0,plain,
    ( ~ n0(d,c)
    | k1(c) ),
    inference(subst,[],[rule_001:[bind(I,$fot(c)),bind(J,$fot(d))]]) ).

cnf(refute_0_1,plain,
    k1(c),
    inference(resolve,[$cnf( n0(d,c) )],[axiom_26,refute_0_0]) ).

cnf(refute_0_2,plain,
    q0(d,d),
    inference(subst,[],[axiom_17:[bind(X,$fot(d))]]) ).

cnf(refute_0_3,plain,
    ( ~ n0(b,a)
    | k1(a) ),
    inference(subst,[],[rule_001:[bind(I,$fot(a)),bind(J,$fot(b))]]) ).

cnf(refute_0_4,plain,
    k1(a),
    inference(resolve,[$cnf( n0(b,a) )],[axiom_37,refute_0_3]) ).

cnf(refute_0_5,plain,
    ( ~ k1(B)
    | ~ q0(A,A)
    | m1(A,B,B) ),
    inference(resolve,[$cnf( k1(a) )],[refute_0_4,rule_034]) ).

cnf(refute_0_6,plain,
    ( ~ k1(X_328)
    | ~ q0(d,d)
    | m1(d,X_328,X_328) ),
    inference(subst,[],[refute_0_5:[bind(A,$fot(d)),bind(B,$fot(X_328))]]) ).

cnf(refute_0_7,plain,
    ( ~ k1(X_328)
    | m1(d,X_328,X_328) ),
    inference(resolve,[$cnf( q0(d,d) )],[refute_0_2,refute_0_6]) ).

cnf(refute_0_8,plain,
    ( ~ k1(c)
    | m1(d,c,c) ),
    inference(subst,[],[refute_0_7:[bind(X_328,$fot(c))]]) ).

cnf(refute_0_9,plain,
    m1(d,c,c),
    inference(resolve,[$cnf( k1(c) )],[refute_0_1,refute_0_8]) ).

cnf(refute_0_10,plain,
    $false,
    inference(resolve,[$cnf( m1(d,c,c) )],[refute_0_9,prove_this]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SYN248-1 : TPTP v8.1.0. Released v1.1.0.
% 0.03/0.12  % Command  : metis --show proof --show saturation %s
% 0.13/0.33  % Computer : n023.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 : Tue Jul 12 02:36:39 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.13/0.34  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.18/0.49  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.49  
% 0.18/0.49  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.18/0.49  
%------------------------------------------------------------------------------