%------------------------------------------------------------------------------
% File     : Metis---2.4
% Problem  : SYN110-1 : TPTP v8.1.0. Released v1.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : metis --show proof --show saturation %s

% Computer : n016.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 08:59:44 EDT 2022

% Result   : Unsatisfiable 0.19s 0.54s
% Output   : CNFRefutation 0.37s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :   12
% Syntax   : Number of clauses     :   32 (  14 unt;   0 nHn;  30 RR)
%            Number of literals    :   60 (   0 equ;  32 neg)
%            Maximal clause size   :    4 (   1 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :   10 (   9 usr;   1 prp; 0-3 aty)
%            Number of functors    :    4 (   4 usr;   4 con; 0-0 aty)
%            Number of variables   :   22 (   6 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(axiom_5,axiom,
    s0(b) ).

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

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

cnf(axiom_33,axiom,
    q0(d,c) ).

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

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

cnf(rule_020,axiom,
    ( m1(c,c,c)
    | ~ l0(c) ) ).

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

cnf(rule_112,axiom,
    ( q1(A,A,A)
    | ~ k1(A)
    | ~ s0(b) ) ).

cnf(rule_127,axiom,
    ( k2(C,D)
    | ~ m1(E,D,C)
    | ~ k1(F)
    | ~ k2(F,D) ) ).

cnf(rule_129,axiom,
    ( k2(J,J)
    | ~ q1(A,J,J) ) ).

cnf(prove_this,negated_conjecture,
    ~ k2(c,a) ).

cnf(refute_0_0,plain,
    ( ~ k1(A)
    | q1(A,A,A) ),
    inference(resolve,[$cnf( s0(b) )],[axiom_5,rule_112]) ).

cnf(refute_0_1,plain,
    ( ~ k1(a)
    | q1(a,a,a) ),
    inference(subst,[],[refute_0_0:[bind(A,$fot(a))]]) ).

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,
    q1(a,a,a),
    inference(resolve,[$cnf( k1(a) )],[refute_0_3,refute_0_1]) ).

cnf(refute_0_5,plain,
    ( ~ q1(a,a,a)
    | k2(a,a) ),
    inference(subst,[],[rule_129:[bind(A,$fot(a)),bind(J,$fot(a))]]) ).

cnf(refute_0_6,plain,
    k2(a,a),
    inference(resolve,[$cnf( q1(a,a,a) )],[refute_0_4,refute_0_5]) ).

cnf(refute_0_7,plain,
    m1(c,c,c),
    inference(resolve,[$cnf( l0(c) )],[axiom_24,rule_020]) ).

cnf(refute_0_8,plain,
    m0(a,H,a),
    inference(subst,[],[axiom_12:[bind(X,$fot(H))]]) ).

cnf(refute_0_9,plain,
    ( ~ m1(G,c,G)
    | ~ q0(F,G)
    | m1(F,a,G) ),
    inference(resolve,[$cnf( m0(a,H,a) )],[refute_0_8,rule_024]) ).

cnf(refute_0_10,plain,
    ( ~ m1(c,c,c)
    | ~ q0(X_260,c)
    | m1(X_260,a,c) ),
    inference(subst,[],[refute_0_9:[bind(F,$fot(X_260)),bind(G,$fot(c))]]) ).

cnf(refute_0_11,plain,
    ( ~ q0(X_260,c)
    | m1(X_260,a,c) ),
    inference(resolve,[$cnf( m1(c,c,c) )],[refute_0_7,refute_0_10]) ).

cnf(refute_0_12,plain,
    ( ~ q0(d,c)
    | m1(d,a,c) ),
    inference(subst,[],[refute_0_11:[bind(X_260,$fot(d))]]) ).

cnf(refute_0_13,plain,
    m1(d,a,c),
    inference(resolve,[$cnf( q0(d,c) )],[axiom_33,refute_0_12]) ).

cnf(refute_0_14,plain,
    ( ~ k1(X_719)
    | ~ k2(X_719,a)
    | ~ m1(d,a,c)
    | k2(c,a) ),
    inference(subst,[],[rule_127:[bind(C,$fot(c)),bind(D,$fot(a)),bind(E,$fot(d)),bind(F,$fot(X_719))]]) ).

cnf(refute_0_15,plain,
    ( ~ k1(X_719)
    | ~ k2(X_719,a)
    | k2(c,a) ),
    inference(resolve,[$cnf( m1(d,a,c) )],[refute_0_13,refute_0_14]) ).

cnf(refute_0_16,plain,
    ( ~ k1(X_719)
    | ~ k2(X_719,a) ),
    inference(resolve,[$cnf( k2(c,a) )],[refute_0_15,prove_this]) ).

cnf(refute_0_17,plain,
    ( ~ k1(a)
    | ~ k2(a,a) ),
    inference(subst,[],[refute_0_16:[bind(X_719,$fot(a))]]) ).

cnf(refute_0_18,plain,
    ~ k1(a),
    inference(resolve,[$cnf( k2(a,a) )],[refute_0_6,refute_0_17]) ).

cnf(refute_0_19,plain,
    $false,
    inference(resolve,[$cnf( k1(a) )],[refute_0_3,refute_0_18]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13  % Problem  : SYN110-1 : TPTP v8.1.0. Released v1.1.0.
% 0.13/0.14  % Command  : metis --show proof --show saturation %s
% 0.13/0.35  % Computer : n016.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 600
% 0.13/0.35  % DateTime : Mon Jul 11 13:48:58 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 0.19/0.35  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.19/0.54  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.54  
% 0.19/0.54  % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 0.37/0.55  
%------------------------------------------------------------------------------