%------------------------------------------------------------------------------
% File     : Metis---2.4
% Problem  : SYN250-1 : TPTP v8.1.0. Released v1.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : metis --show proof --show saturation %s

% Computer : n019.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 09:00:44 EDT 2022

% Result   : Unsatisfiable 0.19s 0.50s
% Output   : CNFRefutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :   12
% Syntax   : Number of clauses     :   34 (  15 unt;   0 nHn;  32 RR)
%            Number of literals    :   65 (   0 equ;  34 neg)
%            Maximal clause size   :    4 (   1 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    8 (   7 usr;   1 prp; 0-3 aty)
%            Number of functors    :    4 (   4 usr;   4 con; 0-0 aty)
%            Number of variables   :   28 (   8 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(axiom_6,axiom,
    q0(b,b) ).

cnf(axiom_12,axiom,
    m0(a,X,a) ).

cnf(axiom_13,axiom,
    r0(e) ).

cnf(axiom_21,axiom,
    q0(b,e) ).

cnf(axiom_24,axiom,
    l0(c) ).

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

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

cnf(rule_016,axiom,
    ( m1(H,I,I)
    | ~ m1(J,I,H)
    | ~ m1(J,A,I) ) ).

cnf(rule_024,axiom,
    ( m1(F,a,G)
    | ~ m0(a,H,a)
    | ~ q0(F,G)
    | ~ m1(G,c,G) ) ).

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

cnf(rule_035,axiom,
    ( m1(I,J,I)
    | ~ r0(I)
    | ~ l0(J) ) ).

cnf(prove_this,negated_conjecture,
    ~ m1(e,a,a) ).

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

cnf(refute_0_1,plain,
    k1(a),
    inference(resolve,[$cnf( n0(b,a) )],[axiom_37,refute_0_0]) ).

cnf(refute_0_2,plain,
    ( ~ k1(B)
    | ~ q0(A,A)
    | m1(A,B,B) ),
    inference(resolve,[$cnf( k1(a) )],[refute_0_1,rule_034]) ).

cnf(refute_0_3,plain,
    ( ~ k1(X_331)
    | ~ q0(b,b)
    | m1(b,X_331,X_331) ),
    inference(subst,[],[refute_0_2:[bind(A,$fot(b)),bind(B,$fot(X_331))]]) ).

cnf(refute_0_4,plain,
    ( ~ k1(X_331)
    | m1(b,X_331,X_331) ),
    inference(resolve,[$cnf( q0(b,b) )],[axiom_6,refute_0_3]) ).

cnf(refute_0_5,plain,
    ( ~ k1(a)
    | m1(b,a,a) ),
    inference(subst,[],[refute_0_4:[bind(X_331,$fot(a))]]) ).

cnf(refute_0_6,plain,
    m1(b,a,a),
    inference(resolve,[$cnf( k1(a) )],[refute_0_1,refute_0_5]) ).

cnf(refute_0_7,plain,
    ( ~ l0(X_176)
    | ~ r0(e)
    | m1(e,X_176,e) ),
    inference(subst,[],[rule_035:[bind(I,$fot(e)),bind(J,$fot(X_176))]]) ).

cnf(refute_0_8,plain,
    ( ~ l0(X_176)
    | m1(e,X_176,e) ),
    inference(resolve,[$cnf( r0(e) )],[axiom_13,refute_0_7]) ).

cnf(refute_0_9,plain,
    ( ~ l0(c)
    | m1(e,c,e) ),
    inference(subst,[],[refute_0_8:[bind(X_176,$fot(c))]]) ).

cnf(refute_0_10,plain,
    m1(e,c,e),
    inference(resolve,[$cnf( l0(c) )],[axiom_24,refute_0_9]) ).

cnf(refute_0_11,plain,
    m0(a,H,a),
    inference(subst,[],[axiom_12:[bind(X,$fot(H))]]) ).

cnf(refute_0_12,plain,
    ( ~ m1(G,c,G)
    | ~ q0(F,G)
    | m1(F,a,G) ),
    inference(resolve,[$cnf( m0(a,H,a) )],[refute_0_11,rule_024]) ).

cnf(refute_0_13,plain,
    ( ~ m1(e,c,e)
    | ~ q0(X_259,e)
    | m1(X_259,a,e) ),
    inference(subst,[],[refute_0_12:[bind(F,$fot(X_259)),bind(G,$fot(e))]]) ).

cnf(refute_0_14,plain,
    ( ~ q0(X_259,e)
    | m1(X_259,a,e) ),
    inference(resolve,[$cnf( m1(e,c,e) )],[refute_0_10,refute_0_13]) ).

cnf(refute_0_15,plain,
    ( ~ q0(b,e)
    | m1(b,a,e) ),
    inference(subst,[],[refute_0_14:[bind(X_259,$fot(b))]]) ).

cnf(refute_0_16,plain,
    m1(b,a,e),
    inference(resolve,[$cnf( q0(b,e) )],[axiom_21,refute_0_15]) ).

cnf(refute_0_17,plain,
    ( ~ m1(b,X_440,a)
    | ~ m1(b,a,e)
    | m1(e,a,a) ),
    inference(subst,[],[rule_016:[bind(A,$fot(X_440)),bind(H,$fot(e)),bind(I,$fot(a)),bind(J,$fot(b))]]) ).

cnf(refute_0_18,plain,
    ( ~ m1(b,X_440,a)
    | m1(e,a,a) ),
    inference(resolve,[$cnf( m1(b,a,e) )],[refute_0_16,refute_0_17]) ).

cnf(refute_0_19,plain,
    ~ m1(b,X_440,a),
    inference(resolve,[$cnf( m1(e,a,a) )],[refute_0_18,prove_this]) ).

cnf(refute_0_20,plain,
    ~ m1(b,a,a),
    inference(subst,[],[refute_0_19:[bind(X_440,$fot(a))]]) ).

cnf(refute_0_21,plain,
    $false,
    inference(resolve,[$cnf( m1(b,a,a) )],[refute_0_6,refute_0_20]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SYN250-1 : TPTP v8.1.0. Released v1.1.0.
% 0.07/0.12  % Command  : metis --show proof --show saturation %s
% 0.12/0.33  % Computer : n019.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 05:41:38 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.12/0.34  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.19/0.50  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.50  
% 0.19/0.50  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.19/0.50  
%------------------------------------------------------------------------------