%------------------------------------------------------------------------------
% File     : Metis---2.4
% Problem  : SYN144-1 : TPTP v8.1.0. Released v1.1.0.
% 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 08:59:59 EDT 2022

% Result   : Unsatisfiable 0.19s 0.49s
% Output   : CNFRefutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   14
%            Number of leaves      :   12
% Syntax   : Number of clauses     :   33 (  13 unt;   0 nHn;  33 RR)
%            Number of literals    :   61 (   0 equ;  29 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :   11 (  10 usr;   1 prp; 0-3 aty)
%            Number of functors    :    3 (   3 usr;   3 con; 0-0 aty)
%            Number of variables   :   21 (   6 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(axiom_13,axiom,
    r0(e) ).

cnf(axiom_20,axiom,
    l0(a) ).

cnf(axiom_28,axiom,
    k0(e) ).

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

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

cnf(rule_021,axiom,
    ( m1(I,J,I)
    | ~ l0(I)
    | ~ k0(J) ) ).

cnf(rule_155,axiom,
    ( p2(H,I,I)
    | ~ k1(J)
    | ~ p2(e,H,I) ) ).

cnf(rule_176,axiom,
    ( p2(D,E,D)
    | ~ m1(E,D,E) ) ).

cnf(rule_267,axiom,
    ( r3(B,C,B)
    | ~ p2(B,D,C) ) ).

cnf(rule_285,axiom,
    ( p4(G,G,H)
    | ~ r0(G)
    | ~ r3(H,G,H) ) ).

cnf(rule_303,axiom,
    ( m5(D,E)
    | ~ r0(D)
    | ~ p4(D,F,E) ) ).

cnf(prove_this,negated_conjecture,
    ~ m5(e,a) ).

cnf(refute_0_0,plain,
    ( ~ r0(e)
    | ~ r3(a,e,a)
    | p4(e,e,a) ),
    inference(subst,[],[rule_285:[bind(G,$fot(e)),bind(H,$fot(a))]]) ).

cnf(refute_0_1,plain,
    ( ~ p2(a,e,e)
    | r3(a,e,a) ),
    inference(subst,[],[rule_267:[bind(B,$fot(a)),bind(C,$fot(e)),bind(D,$fot(e))]]) ).

cnf(refute_0_2,plain,
    ( ~ n0(b,a)
    | k1(a) ),
    inference(subst,[],[rule_001:[bind(I,$fot(a)),bind(J,$fot(b))]]) ).

cnf(refute_0_3,plain,
    k1(a),
    inference(resolve,[$cnf( n0(b,a) )],[axiom_37,refute_0_2]) ).

cnf(refute_0_4,plain,
    ( ~ m1(a,e,a)
    | p2(e,a,e) ),
    inference(subst,[],[rule_176:[bind(D,$fot(e)),bind(E,$fot(a))]]) ).

cnf(refute_0_5,plain,
    ( ~ k0(X_169)
    | ~ l0(a)
    | m1(a,X_169,a) ),
    inference(subst,[],[rule_021:[bind(I,$fot(a)),bind(J,$fot(X_169))]]) ).

cnf(refute_0_6,plain,
    ( ~ k0(X_169)
    | m1(a,X_169,a) ),
    inference(resolve,[$cnf( l0(a) )],[axiom_20,refute_0_5]) ).

cnf(refute_0_7,plain,
    ( ~ k0(e)
    | m1(a,e,a) ),
    inference(subst,[],[refute_0_6:[bind(X_169,$fot(e))]]) ).

cnf(refute_0_8,plain,
    m1(a,e,a),
    inference(resolve,[$cnf( k0(e) )],[axiom_28,refute_0_7]) ).

cnf(refute_0_9,plain,
    p2(e,a,e),
    inference(resolve,[$cnf( m1(a,e,a) )],[refute_0_8,refute_0_4]) ).

cnf(refute_0_10,plain,
    ( ~ k1(X_267)
    | ~ p2(e,a,e)
    | p2(a,e,e) ),
    inference(subst,[],[rule_155:[bind(H,$fot(a)),bind(I,$fot(e)),bind(J,$fot(X_267))]]) ).

cnf(refute_0_11,plain,
    ( ~ k1(X_267)
    | p2(a,e,e) ),
    inference(resolve,[$cnf( p2(e,a,e) )],[refute_0_9,refute_0_10]) ).

cnf(refute_0_12,plain,
    ( ~ k1(a)
    | p2(a,e,e) ),
    inference(subst,[],[refute_0_11:[bind(X_267,$fot(a))]]) ).

cnf(refute_0_13,plain,
    p2(a,e,e),
    inference(resolve,[$cnf( k1(a) )],[refute_0_3,refute_0_12]) ).

cnf(refute_0_14,plain,
    r3(a,e,a),
    inference(resolve,[$cnf( p2(a,e,e) )],[refute_0_13,refute_0_1]) ).

cnf(refute_0_15,plain,
    ( ~ r0(e)
    | p4(e,e,a) ),
    inference(resolve,[$cnf( r3(a,e,a) )],[refute_0_14,refute_0_0]) ).

cnf(refute_0_16,plain,
    p4(e,e,a),
    inference(resolve,[$cnf( r0(e) )],[axiom_13,refute_0_15]) ).

cnf(refute_0_17,plain,
    ( ~ p4(e,e,a)
    | ~ r0(e)
    | m5(e,a) ),
    inference(subst,[],[rule_303:[bind(D,$fot(e)),bind(E,$fot(a)),bind(F,$fot(e))]]) ).

cnf(refute_0_18,plain,
    ( ~ r0(e)
    | m5(e,a) ),
    inference(resolve,[$cnf( p4(e,e,a) )],[refute_0_16,refute_0_17]) ).

cnf(refute_0_19,plain,
    m5(e,a),
    inference(resolve,[$cnf( r0(e) )],[axiom_13,refute_0_18]) ).

cnf(refute_0_20,plain,
    $false,
    inference(resolve,[$cnf( m5(e,a) )],[refute_0_19,prove_this]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SYN144-1 : TPTP v8.1.0. Released v1.1.0.
% 0.07/0.13  % Command  : metis --show proof --show saturation %s
% 0.13/0.34  % Computer : n014.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 600
% 0.13/0.34  % DateTime : Mon Jul 11 15:08:19 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.13/0.35  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 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  
%------------------------------------------------------------------------------