%------------------------------------------------------------------------------
% File     : Metis---2.4
% Problem  : SYN166-1 : TPTP v8.1.0. Released v1.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : metis --show proof --show saturation %s

% Computer : n020.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 09:00:08 EDT 2022

% Result   : Unsatisfiable 0.19s 0.52s
% Output   : CNFRefutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :   12
% Syntax   : Number of clauses     :   34 (  14 unt;   0 nHn;  32 RR)
%            Number of literals    :   66 (   0 equ;  33 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    :    3 (   3 usr;   3 con; 0-0 aty)
%            Number of variables   :   25 (   6 sgn)

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

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

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

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

cnf(axiom_32,axiom,
    k0(b) ).

cnf(axiom_36,axiom,
    q0(a,b) ).

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

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

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

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

cnf(rule_083,axiom,
    ( p1(F,b,G)
    | ~ m1(F,G,b)
    | ~ k0(G) ) ).

cnf(prove_this,negated_conjecture,
    ~ p1(a,b,b) ).

cnf(refute_0_0,plain,
    ( ~ k0(b)
    | ~ m1(a,b,b)
    | p1(a,b,b) ),
    inference(subst,[],[rule_083:[bind(F,$fot(a)),bind(G,$fot(b))]]) ).

cnf(refute_0_1,plain,
    ( ~ l0(X_177)
    | ~ r0(b)
    | m1(b,X_177,b) ),
    inference(subst,[],[rule_035:[bind(I,$fot(b)),bind(J,$fot(X_177))]]) ).

cnf(refute_0_2,plain,
    ( ~ l0(X_177)
    | m1(b,X_177,b) ),
    inference(resolve,[$cnf( r0(b) )],[axiom_9,refute_0_1]) ).

cnf(refute_0_3,plain,
    ( ~ l0(c)
    | m1(b,c,b) ),
    inference(subst,[],[refute_0_2:[bind(X_177,$fot(c))]]) ).

cnf(refute_0_4,plain,
    m1(b,c,b),
    inference(resolve,[$cnf( l0(c) )],[axiom_24,refute_0_3]) ).

cnf(refute_0_5,plain,
    m0(a,H,a),
    inference(subst,[],[axiom_12:[bind(X,$fot(H))]]) ).

cnf(refute_0_6,plain,
    ( ~ m1(G,c,G)
    | ~ q0(F,G)
    | m1(F,a,G) ),
    inference(resolve,[$cnf( m0(a,H,a) )],[refute_0_5,rule_024]) ).

cnf(refute_0_7,plain,
    ( ~ m1(b,c,b)
    | ~ q0(X_181,b)
    | m1(X_181,a,b) ),
    inference(subst,[],[refute_0_6:[bind(F,$fot(X_181)),bind(G,$fot(b))]]) ).

cnf(refute_0_8,plain,
    ( ~ q0(X_181,b)
    | m1(X_181,a,b) ),
    inference(resolve,[$cnf( m1(b,c,b) )],[refute_0_4,refute_0_7]) ).

cnf(refute_0_9,plain,
    ( ~ q0(a,b)
    | m1(a,a,b) ),
    inference(subst,[],[refute_0_8:[bind(X_181,$fot(a))]]) ).

cnf(refute_0_10,plain,
    m1(a,a,b),
    inference(resolve,[$cnf( q0(a,b) )],[axiom_36,refute_0_9]) ).

cnf(refute_0_11,plain,
    ( ~ k0(X_173)
    | ~ l0(a)
    | m1(a,X_173,a) ),
    inference(subst,[],[rule_021:[bind(I,$fot(a)),bind(J,$fot(X_173))]]) ).

cnf(refute_0_12,plain,
    ( ~ k0(X_173)
    | m1(a,X_173,a) ),
    inference(resolve,[$cnf( l0(a) )],[axiom_20,refute_0_11]) ).

cnf(refute_0_13,plain,
    ( ~ k0(b)
    | m1(a,b,a) ),
    inference(subst,[],[refute_0_12:[bind(X_173,$fot(b))]]) ).

cnf(refute_0_14,plain,
    m1(a,b,a),
    inference(resolve,[$cnf( k0(b) )],[axiom_32,refute_0_13]) ).

cnf(refute_0_15,plain,
    ( ~ m1(a,X_441,b)
    | ~ m1(a,b,a)
    | m1(a,b,b) ),
    inference(subst,[],[rule_016:[bind(A,$fot(X_441)),bind(H,$fot(a)),bind(I,$fot(b)),bind(J,$fot(a))]]) ).

cnf(refute_0_16,plain,
    ( ~ m1(a,X_441,b)
    | m1(a,b,b) ),
    inference(resolve,[$cnf( m1(a,b,a) )],[refute_0_14,refute_0_15]) ).

cnf(refute_0_17,plain,
    ( ~ m1(a,a,b)
    | m1(a,b,b) ),
    inference(subst,[],[refute_0_16:[bind(X_441,$fot(a))]]) ).

cnf(refute_0_18,plain,
    m1(a,b,b),
    inference(resolve,[$cnf( m1(a,a,b) )],[refute_0_10,refute_0_17]) ).

cnf(refute_0_19,plain,
    ( ~ k0(b)
    | p1(a,b,b) ),
    inference(resolve,[$cnf( m1(a,b,b) )],[refute_0_18,refute_0_0]) ).

cnf(refute_0_20,plain,
    p1(a,b,b),
    inference(resolve,[$cnf( k0(b) )],[axiom_32,refute_0_19]) ).

cnf(refute_0_21,plain,
    $false,
    inference(resolve,[$cnf( p1(a,b,b) )],[refute_0_20,prove_this]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : SYN166-1 : TPTP v8.1.0. Released v1.1.0.
% 0.06/0.13  % Command  : metis --show proof --show saturation %s
% 0.12/0.35  % Computer : n020.cluster.edu
% 0.12/0.35  % Model    : x86_64 x86_64
% 0.12/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.35  % Memory   : 8042.1875MB
% 0.12/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.35  % CPULimit : 300
% 0.12/0.35  % WCLimit  : 600
% 0.12/0.35  % DateTime : Tue Jul 12 00:45:27 EDT 2022
% 0.12/0.35  % CPUTime  : 
% 0.12/0.35  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.19/0.52  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.52  
% 0.19/0.52  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.19/0.52  
%------------------------------------------------------------------------------