%------------------------------------------------------------------------------
% File     : Metis---2.4
% Problem  : SYN235-1 : TPTP v8.1.0. Released v1.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : metis --show proof --show saturation %s

% Computer : n029.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 09:00:38 EDT 2022

% Result   : Unsatisfiable 0.20s 0.50s
% Output   : CNFRefutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :    7
% Syntax   : Number of clauses     :   20 (  11 unt;   0 nHn;  13 RR)
%            Number of literals    :   33 (   0 equ;  14 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    7 (   6 usr;   1 prp; 0-3 aty)
%            Number of functors    :    2 (   2 usr;   2 con; 0-0 aty)
%            Number of variables   :   17 (   5 sgn)

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

cnf(axiom_13,axiom,
    r0(e) ).

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

cnf(rule_029,axiom,
    ( m1(H,I,H)
    | ~ p0(H,I)
    | ~ s0(H) ) ).

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

cnf(rule_215,axiom,
    ( l3(G,H)
    | ~ r0(G)
    | ~ p2(G,H,G) ) ).

cnf(prove_this,negated_conjecture,
    ~ l3(e,b) ).

cnf(refute_0_0,plain,
    ( ~ m1(b,X_184,b)
    | p2(X_184,b,X_184) ),
    inference(subst,[],[rule_176:[bind(D,$fot(X_184)),bind(E,$fot(b))]]) ).

cnf(refute_0_1,plain,
    p0(b,X_183),
    inference(subst,[],[axiom_14:[bind(X,$fot(X_183))]]) ).

cnf(refute_0_2,plain,
    ( ~ p0(b,X_183)
    | ~ s0(b)
    | m1(b,X_183,b) ),
    inference(subst,[],[rule_029:[bind(H,$fot(b)),bind(I,$fot(X_183))]]) ).

cnf(refute_0_3,plain,
    ( ~ s0(b)
    | m1(b,X_183,b) ),
    inference(resolve,[$cnf( p0(b,X_183) )],[refute_0_1,refute_0_2]) ).

cnf(refute_0_4,plain,
    m1(b,X_183,b),
    inference(resolve,[$cnf( s0(b) )],[axiom_5,refute_0_3]) ).

cnf(refute_0_5,plain,
    m1(b,X_184,b),
    inference(subst,[],[refute_0_4:[bind(X_183,$fot(X_184))]]) ).

cnf(refute_0_6,plain,
    p2(X_184,b,X_184),
    inference(resolve,[$cnf( m1(b,X_184,b) )],[refute_0_5,refute_0_0]) ).

cnf(refute_0_7,plain,
    p2(X_202,b,X_202),
    inference(subst,[],[refute_0_6:[bind(X_184,$fot(X_202))]]) ).

cnf(refute_0_8,plain,
    ( ~ p2(X_202,b,X_202)
    | ~ r0(X_202)
    | l3(X_202,b) ),
    inference(subst,[],[rule_215:[bind(G,$fot(X_202)),bind(H,$fot(b))]]) ).

cnf(refute_0_9,plain,
    ( ~ r0(X_202)
    | l3(X_202,b) ),
    inference(resolve,[$cnf( p2(X_202,b,X_202) )],[refute_0_7,refute_0_8]) ).

cnf(refute_0_10,plain,
    ( ~ r0(e)
    | l3(e,b) ),
    inference(subst,[],[refute_0_9:[bind(X_202,$fot(e))]]) ).

cnf(refute_0_11,plain,
    l3(e,b),
    inference(resolve,[$cnf( r0(e) )],[axiom_13,refute_0_10]) ).

cnf(refute_0_12,plain,
    $false,
    inference(resolve,[$cnf( l3(e,b) )],[refute_0_11,prove_this]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem  : SYN235-1 : TPTP v8.1.0. Released v1.1.0.
% 0.03/0.13  % Command  : metis --show proof --show saturation %s
% 0.14/0.35  % Computer : n029.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 03:43:32 EDT 2022
% 0.14/0.35  % CPUTime  : 
% 0.14/0.35  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.20/0.50  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.50  
% 0.20/0.50  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.20/0.50  
%------------------------------------------------------------------------------