%------------------------------------------------------------------------------
% File     : Metis---2.4
% Problem  : SYN293-1 : TPTP v8.1.0. Released v1.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : metis --show proof --show saturation %s

% Computer : n025.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 09:01:01 EDT 2022

% Result   : Unsatisfiable 0.19s 0.49s
% Output   : CNFRefutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :    7
% Syntax   : Number of clauses     :   20 (  10 unt;   0 nHn;  19 RR)
%            Number of literals    :   36 (   0 equ;  19 neg)
%            Maximal clause size   :    4 (   1 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    7 (   6 usr;   1 prp; 0-3 aty)
%            Number of functors    :    3 (   3 usr;   3 con; 0-0 aty)
%            Number of variables   :   15 (   6 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(axiom_9,axiom,
    r0(b) ).

cnf(axiom_17,axiom,
    q0(X,d) ).

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(rule_113,axiom,
    ( q1(H,H,I)
    | ~ r0(J)
    | ~ m1(H,I,I) ) ).

cnf(prove_this,negated_conjecture,
    ~ q1(d,d,a) ).

cnf(refute_0_0,plain,
    ( ~ m1(d,a,a)
    | ~ r0(J)
    | q1(d,d,a) ),
    inference(subst,[],[rule_113:[bind(H,$fot(d)),bind(I,$fot(a))]]) ).

cnf(refute_0_1,plain,
    ( ~ n0(b,a)
    | k1(a) ),
    inference(subst,[],[rule_001:[bind(I,$fot(a)),bind(J,$fot(b))]]) ).

cnf(refute_0_2,plain,
    k1(a),
    inference(resolve,[$cnf( n0(b,a) )],[axiom_37,refute_0_1]) ).

cnf(refute_0_3,plain,
    q0(d,d),
    inference(subst,[],[axiom_17:[bind(X,$fot(d))]]) ).

cnf(refute_0_4,plain,
    ( ~ k1(B)
    | ~ q0(A,A)
    | m1(A,B,B) ),
    inference(resolve,[$cnf( k1(a) )],[refute_0_2,rule_034]) ).

cnf(refute_0_5,plain,
    ( ~ k1(X_331)
    | ~ q0(d,d)
    | m1(d,X_331,X_331) ),
    inference(subst,[],[refute_0_4:[bind(A,$fot(d)),bind(B,$fot(X_331))]]) ).

cnf(refute_0_6,plain,
    ( ~ k1(X_331)
    | m1(d,X_331,X_331) ),
    inference(resolve,[$cnf( q0(d,d) )],[refute_0_3,refute_0_5]) ).

cnf(refute_0_7,plain,
    ( ~ k1(a)
    | m1(d,a,a) ),
    inference(subst,[],[refute_0_6:[bind(X_331,$fot(a))]]) ).

cnf(refute_0_8,plain,
    m1(d,a,a),
    inference(resolve,[$cnf( k1(a) )],[refute_0_2,refute_0_7]) ).

cnf(refute_0_9,plain,
    ( ~ r0(J)
    | q1(d,d,a) ),
    inference(resolve,[$cnf( m1(d,a,a) )],[refute_0_8,refute_0_0]) ).

cnf(refute_0_10,plain,
    ~ r0(J),
    inference(resolve,[$cnf( q1(d,d,a) )],[refute_0_9,prove_this]) ).

cnf(refute_0_11,plain,
    ~ r0(b),
    inference(subst,[],[refute_0_10:[bind(J,$fot(b))]]) ).

cnf(refute_0_12,plain,
    $false,
    inference(resolve,[$cnf( r0(b) )],[axiom_9,refute_0_11]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11  % Problem  : SYN293-1 : TPTP v8.1.0. Released v1.1.0.
% 0.11/0.12  % Command  : metis --show proof --show saturation %s
% 0.11/0.33  % Computer : n025.cluster.edu
% 0.11/0.33  % Model    : x86_64 x86_64
% 0.11/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33  % Memory   : 8042.1875MB
% 0.11/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33  % CPULimit : 300
% 0.11/0.33  % WCLimit  : 600
% 0.11/0.33  % DateTime : Mon Jul 11 23:00:47 EDT 2022
% 0.11/0.33  % CPUTime  : 
% 0.11/0.34  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.19/0.49  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.49  
% 0.19/0.49  % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 0.19/0.49  
%------------------------------------------------------------------------------