%------------------------------------------------------------------------------
% File     : Metis---2.4
% Problem  : SYN218-1 : 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 09:00:31 EDT 2022

% Result   : Unsatisfiable 0.37s 0.55s
% Output   : CNFRefutation 0.37s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :   12
% Syntax   : Number of clauses     :   42 (  20 unt;   0 nHn;  30 RR)
%            Number of literals    :   78 (   0 equ;  38 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    :    5 (   5 usr;   5 con; 0-0 aty)
%            Number of variables   :   36 (  22 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(axiom_11,axiom,
    n0(e,b) ).

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

cnf(axiom_17,axiom,
    q0(X,d) ).

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

cnf(axiom_31,axiom,
    m0(b,b,e) ).

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

cnf(rule_015,axiom,
    ( m1(B,C,C)
    | ~ l0(D)
    | ~ m0(C,C,B) ) ).

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

cnf(rule_126,axiom,
    ( s1(F)
    | ~ q0(F,G)
    | ~ s1(H) ) ).

cnf(rule_131,axiom,
    ( l2(D,E)
    | ~ s1(D)
    | ~ n0(e,E)
    | ~ l2(E,E) ) ).

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

cnf(prove_this,negated_conjecture,
    ~ l2(c,X) ).

cnf(refute_0_0,plain,
    ~ l2(c,b),
    inference(subst,[],[prove_this:[bind(X,$fot(b))]]) ).

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

cnf(refute_0_2,plain,
    ( ~ p0(b,b)
    | s1(b) ),
    inference(subst,[],[rule_125:[bind(I,$fot(b))]]) ).

cnf(refute_0_3,plain,
    s1(b),
    inference(resolve,[$cnf( p0(b,b) )],[refute_0_1,refute_0_2]) ).

cnf(refute_0_4,plain,
    ( ~ q0(a,b)
    | ~ s1(X_210)
    | s1(a) ),
    inference(subst,[],[rule_126:[bind(F,$fot(a)),bind(G,$fot(b)),bind(H,$fot(X_210))]]) ).

cnf(refute_0_5,plain,
    ( ~ s1(X_210)
    | s1(a) ),
    inference(resolve,[$cnf( q0(a,b) )],[axiom_36,refute_0_4]) ).

cnf(refute_0_6,plain,
    ( ~ s1(b)
    | s1(a) ),
    inference(subst,[],[refute_0_5:[bind(X_210,$fot(b))]]) ).

cnf(refute_0_7,plain,
    s1(a),
    inference(resolve,[$cnf( s1(b) )],[refute_0_3,refute_0_6]) ).

cnf(refute_0_8,plain,
    q0(X_208,d),
    inference(subst,[],[axiom_17:[bind(X,$fot(X_208))]]) ).

cnf(refute_0_9,plain,
    ( ~ q0(X_208,d)
    | ~ s1(X_210)
    | s1(X_208) ),
    inference(subst,[],[rule_126:[bind(F,$fot(X_208)),bind(G,$fot(d)),bind(H,$fot(X_210))]]) ).

cnf(refute_0_10,plain,
    ( ~ s1(X_210)
    | s1(X_208) ),
    inference(resolve,[$cnf( q0(X_208,d) )],[refute_0_8,refute_0_9]) ).

cnf(refute_0_11,plain,
    ( ~ s1(a)
    | s1(X_214) ),
    inference(subst,[],[refute_0_10:[bind(X_208,$fot(X_214)),bind(X_210,$fot(a))]]) ).

cnf(refute_0_12,plain,
    s1(X_214),
    inference(resolve,[$cnf( s1(a) )],[refute_0_7,refute_0_11]) ).

cnf(refute_0_13,plain,
    s1(D),
    inference(subst,[],[refute_0_12:[bind(X_214,$fot(D))]]) ).

cnf(refute_0_14,plain,
    ( ~ l2(E,E)
    | ~ n0(e,E)
    | l2(D,E) ),
    inference(resolve,[$cnf( s1(D) )],[refute_0_13,rule_131]) ).

cnf(refute_0_15,plain,
    ( ~ l2(b,b)
    | ~ n0(e,b)
    | l2(X_344,b) ),
    inference(subst,[],[refute_0_14:[bind(D,$fot(X_344)),bind(E,$fot(b))]]) ).

cnf(refute_0_16,plain,
    ( ~ l2(b,b)
    | l2(X_344,b) ),
    inference(resolve,[$cnf( n0(e,b) )],[axiom_11,refute_0_15]) ).

cnf(refute_0_17,plain,
    ( ~ l0(X_294)
    | ~ m0(b,b,e)
    | m1(e,b,b) ),
    inference(subst,[],[rule_015:[bind(B,$fot(e)),bind(C,$fot(b)),bind(D,$fot(X_294))]]) ).

cnf(refute_0_18,plain,
    ( ~ l0(X_294)
    | m1(e,b,b) ),
    inference(resolve,[$cnf( m0(b,b,e) )],[axiom_31,refute_0_17]) ).

cnf(refute_0_19,plain,
    ( ~ l0(a)
    | m1(e,b,b) ),
    inference(subst,[],[refute_0_18:[bind(X_294,$fot(a))]]) ).

cnf(refute_0_20,plain,
    m1(e,b,b),
    inference(resolve,[$cnf( l0(a) )],[axiom_20,refute_0_19]) ).

cnf(refute_0_21,plain,
    ( ~ m0(b,X_677,e)
    | ~ m1(e,b,b)
    | ~ p0(b,X_677)
    | l2(X_677,X_677) ),
    inference(subst,[],[rule_134:[bind(G,$fot(X_677)),bind(H,$fot(b)),bind(I,$fot(e))]]) ).

cnf(refute_0_22,plain,
    ( ~ m0(b,X_677,e)
    | ~ p0(b,X_677)
    | l2(X_677,X_677) ),
    inference(resolve,[$cnf( m1(e,b,b) )],[refute_0_20,refute_0_21]) ).

cnf(refute_0_23,plain,
    p0(b,X_677),
    inference(subst,[],[axiom_14:[bind(X,$fot(X_677))]]) ).

cnf(refute_0_24,plain,
    ( ~ m0(b,X_677,e)
    | l2(X_677,X_677) ),
    inference(resolve,[$cnf( p0(b,X_677) )],[refute_0_23,refute_0_22]) ).

cnf(refute_0_25,plain,
    ( ~ m0(b,b,e)
    | l2(b,b) ),
    inference(subst,[],[refute_0_24:[bind(X_677,$fot(b))]]) ).

cnf(refute_0_26,plain,
    l2(b,b),
    inference(resolve,[$cnf( m0(b,b,e) )],[axiom_31,refute_0_25]) ).

cnf(refute_0_27,plain,
    l2(X_344,b),
    inference(resolve,[$cnf( l2(b,b) )],[refute_0_26,refute_0_16]) ).

cnf(refute_0_28,plain,
    l2(c,b),
    inference(subst,[],[refute_0_27:[bind(X_344,$fot(c))]]) ).

cnf(refute_0_29,plain,
    $false,
    inference(resolve,[$cnf( l2(c,b) )],[refute_0_28,refute_0_0]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13  % Problem  : SYN218-1 : TPTP v8.1.0. Released v1.1.0.
% 0.08/0.14  % 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 : Mon Jul 11 17:29:32 EDT 2022
% 0.14/0.35  % CPUTime  : 
% 0.14/0.35  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.37/0.55  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.37/0.55  
% 0.37/0.55  % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 0.37/0.56  
%------------------------------------------------------------------------------