%------------------------------------------------------------------------------
% File     : Metis---2.4
% Problem  : SYN123-1 : TPTP v8.1.0. Released v1.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : metis --show proof --show saturation %s

% Computer : n010.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 08:59:50 EDT 2022

% Result   : Unsatisfiable 0.21s 0.53s
% Output   : CNFRefutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    6
% Syntax   : Number of clauses     :   16 (   9 unt;   0 nHn;  13 RR)
%            Number of literals    :   28 (   0 equ;  13 neg)
%            Maximal clause size   :    4 (   1 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    6 (   5 usr;   1 prp; 0-3 aty)
%            Number of functors    :    2 (   2 usr;   2 con; 0-0 aty)
%            Number of variables   :   11 (   4 sgn)

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

cnf(axiom_14,axiom,
    p0(b,X) ).

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

cnf(rule_032,axiom,
    ( m1(F,F,F)
    | ~ s0(F) ) ).

cnf(rule_134,axiom,
    ( l2(G,G)
    | ~ m0(H,G,I)
    | ~ m1(I,H,H)
    | ~ p0(H,G) ) ).

cnf(prove_this,negated_conjecture,
    ~ l2(d,d) ).

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

cnf(refute_0_1,plain,
    ( ~ s0(b)
    | m1(b,b,b) ),
    inference(subst,[],[rule_032:[bind(F,$fot(b))]]) ).

cnf(refute_0_2,plain,
    m1(b,b,b),
    inference(resolve,[$cnf( s0(b) )],[axiom_5,refute_0_1]) ).

cnf(refute_0_3,plain,
    ( ~ m0(b,X_667,b)
    | ~ m1(b,b,b)
    | ~ p0(b,X_667)
    | l2(X_667,X_667) ),
    inference(subst,[],[rule_134:[bind(G,$fot(X_667)),bind(H,$fot(b)),bind(I,$fot(b))]]) ).

cnf(refute_0_4,plain,
    ( ~ m0(b,X_667,b)
    | ~ p0(b,X_667)
    | l2(X_667,X_667) ),
    inference(resolve,[$cnf( m1(b,b,b) )],[refute_0_2,refute_0_3]) ).

cnf(refute_0_5,plain,
    p0(b,X_667),
    inference(subst,[],[axiom_14:[bind(X,$fot(X_667))]]) ).

cnf(refute_0_6,plain,
    ( ~ m0(b,X_667,b)
    | l2(X_667,X_667) ),
    inference(resolve,[$cnf( p0(b,X_667) )],[refute_0_5,refute_0_4]) ).

cnf(refute_0_7,plain,
    ( ~ m0(b,d,b)
    | l2(d,d) ),
    inference(subst,[],[refute_0_6:[bind(X_667,$fot(d))]]) ).

cnf(refute_0_8,plain,
    l2(d,d),
    inference(resolve,[$cnf( m0(b,d,b) )],[refute_0_0,refute_0_7]) ).

cnf(refute_0_9,plain,
    $false,
    inference(resolve,[$cnf( l2(d,d) )],[refute_0_8,prove_this]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SYN123-1 : TPTP v8.1.0. Released v1.1.0.
% 0.07/0.13  % Command  : metis --show proof --show saturation %s
% 0.14/0.35  % Computer : n010.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 600
% 0.14/0.35  % DateTime : Tue Jul 12 06:08:00 EDT 2022
% 0.14/0.35  % CPUTime  : 
% 0.14/0.35  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.21/0.53  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.53  
% 0.21/0.53  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.21/0.53  
%------------------------------------------------------------------------------