%------------------------------------------------------------------------------
% File     : Metis---2.4
% Problem  : SYN298-1 : 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 09:01:03 EDT 2022

% Result   : Unsatisfiable 0.18s 0.55s
% Output   : CNFRefutation 0.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    9
% Syntax   : Number of clauses     :   27 (  14 unt;   0 nHn;  24 RR)
%            Number of literals    :   46 (   0 equ;  23 neg)
%            Maximal clause size   :    4 (   1 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    9 (   8 usr;   1 prp; 0-3 aty)
%            Number of functors    :    2 (   2 usr;   2 con; 0-0 aty)
%            Number of variables   :   24 (  13 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(axiom_14,axiom,
    p0(b,X) ).

cnf(axiom_19,axiom,
    m0(X,d,Y) ).

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

cnf(rule_068,axiom,
    ( p1(D,D,D)
    | ~ k0(D) ) ).

cnf(rule_125,axiom,
    ( s1(I)
    | ~ p0(I,I) ) ).

cnf(rule_181,axiom,
    ( q2(I,I,I)
    | ~ p1(I,I,I) ) ).

cnf(rule_189,axiom,
    ( s2(H)
    | ~ q2(b,H,b)
    | ~ s1(b) ) ).

cnf(rule_273,axiom,
    ( s3(I,J)
    | ~ q2(A,I,A)
    | ~ s2(I)
    | ~ m0(A,B,J) ) ).

cnf(prove_this,negated_conjecture,
    ~ s3(b,X) ).

cnf(refute_0_0,plain,
    m0(b,d,X_887),
    inference(subst,[],[axiom_19:[bind(X,$fot(b)),bind(Y,$fot(X_887))]]) ).

cnf(refute_0_1,plain,
    ( ~ k0(b)
    | p1(b,b,b) ),
    inference(subst,[],[rule_068:[bind(D,$fot(b))]]) ).

cnf(refute_0_2,plain,
    p1(b,b,b),
    inference(resolve,[$cnf( k0(b) )],[axiom_32,refute_0_1]) ).

cnf(refute_0_3,plain,
    ( ~ p1(b,b,b)
    | q2(b,b,b) ),
    inference(subst,[],[rule_181:[bind(I,$fot(b))]]) ).

cnf(refute_0_4,plain,
    q2(b,b,b),
    inference(resolve,[$cnf( p1(b,b,b) )],[refute_0_2,refute_0_3]) ).

cnf(refute_0_5,plain,
    ( ~ m0(b,X_883,X_885)
    | ~ q2(b,b,b)
    | ~ s2(b)
    | s3(b,X_885) ),
    inference(subst,[],[rule_273:[bind(A,$fot(b)),bind(B,$fot(X_883)),bind(I,$fot(b)),bind(J,$fot(X_885))]]) ).

cnf(refute_0_6,plain,
    ( ~ m0(b,X_883,X_885)
    | ~ s2(b)
    | s3(b,X_885) ),
    inference(resolve,[$cnf( q2(b,b,b) )],[refute_0_4,refute_0_5]) ).

cnf(refute_0_7,plain,
    p0(b,b),
    inference(subst,[],[axiom_14:[bind(X,$fot(b))]]) ).

cnf(refute_0_8,plain,
    ( ~ p0(b,b)
    | s1(b) ),
    inference(subst,[],[rule_125:[bind(I,$fot(b))]]) ).

cnf(refute_0_9,plain,
    s1(b),
    inference(resolve,[$cnf( p0(b,b) )],[refute_0_7,refute_0_8]) ).

cnf(refute_0_10,plain,
    ( ~ q2(b,H,b)
    | s2(H) ),
    inference(resolve,[$cnf( s1(b) )],[refute_0_9,rule_189]) ).

cnf(refute_0_11,plain,
    ( ~ q2(b,b,b)
    | s2(b) ),
    inference(subst,[],[refute_0_10:[bind(H,$fot(b))]]) ).

cnf(refute_0_12,plain,
    s2(b),
    inference(resolve,[$cnf( q2(b,b,b) )],[refute_0_4,refute_0_11]) ).

cnf(refute_0_13,plain,
    ( ~ m0(b,X_883,X_885)
    | s3(b,X_885) ),
    inference(resolve,[$cnf( s2(b) )],[refute_0_12,refute_0_6]) ).

cnf(refute_0_14,plain,
    ~ s3(b,X_885),
    inference(subst,[],[prove_this:[bind(X,$fot(X_885))]]) ).

cnf(refute_0_15,plain,
    ~ m0(b,X_883,X_885),
    inference(resolve,[$cnf( s3(b,X_885) )],[refute_0_13,refute_0_14]) ).

cnf(refute_0_16,plain,
    ~ m0(b,d,X_887),
    inference(subst,[],[refute_0_15:[bind(X_883,$fot(d)),bind(X_885,$fot(X_887))]]) ).

cnf(refute_0_17,plain,
    $false,
    inference(resolve,[$cnf( m0(b,d,X_887) )],[refute_0_0,refute_0_16]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : SYN298-1 : TPTP v8.1.0. Released v1.1.0.
% 0.11/0.12  % Command  : metis --show proof --show saturation %s
% 0.12/0.33  % Computer : n014.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 : Mon Jul 11 20:40:19 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.12/0.34  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.18/0.55  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.55  
% 0.18/0.55  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.18/0.56  
%------------------------------------------------------------------------------