%------------------------------------------------------------------------------
% File     : Metis---2.4
% Problem  : SYN299-1 : TPTP v8.1.0. Released v1.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : metis --show proof --show saturation %s

% Computer : n023.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 0.39s 0.55s
% Output   : CNFRefutation 0.39s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   16
%            Number of leaves      :   15
% Syntax   : Number of clauses     :   50 (  23 unt;   0 nHn;  40 RR)
%            Number of literals    :   91 (   0 equ;  42 neg)
%            Maximal clause size   :    4 (   1 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :   12 (  11 usr;   1 prp; 0-3 aty)
%            Number of functors    :    4 (   4 usr;   4 con; 0-0 aty)
%            Number of variables   :   41 (  13 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(axiom_4,axiom,
    m0(e,d,a) ).

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

cnf(axiom_15,axiom,
    n0(a,b) ).

cnf(axiom_28,axiom,
    k0(e) ).

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

cnf(rule_001,axiom,
    ( k1(I)
    | ~ n0(J,I) ) ).

cnf(rule_040,axiom,
    ( n1(C,e,e)
    | ~ m0(C,D,e)
    | ~ k1(C) ) ).

cnf(rule_085,axiom,
    ( p1(B,B,B)
    | ~ p0(C,B) ) ).

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

cnf(rule_177,axiom,
    ( q2(E,F,F)
    | ~ k0(F)
    | ~ p1(E,E,E) ) ).

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

cnf(rule_182,axiom,
    ( q2(F,G,F)
    | ~ p1(F,F,H)
    | ~ n1(G,F,H)
    | ~ q2(G,H,F) ) ).

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,a) ).

cnf(refute_0_0,plain,
    ( ~ k1(b)
    | ~ m0(b,b,e)
    | n1(b,e,e) ),
    inference(subst,[],[rule_040:[bind(C,$fot(b)),bind(D,$fot(b))]]) ).

cnf(refute_0_1,plain,
    ( ~ k1(b)
    | n1(b,e,e) ),
    inference(resolve,[$cnf( m0(b,b,e) )],[axiom_31,refute_0_0]) ).

cnf(refute_0_2,plain,
    ( ~ n0(a,b)
    | k1(b) ),
    inference(subst,[],[rule_001:[bind(I,$fot(b)),bind(J,$fot(a))]]) ).

cnf(refute_0_3,plain,
    k1(b),
    inference(resolve,[$cnf( n0(a,b) )],[axiom_15,refute_0_2]) ).

cnf(refute_0_4,plain,
    n1(b,e,e),
    inference(resolve,[$cnf( k1(b) )],[refute_0_3,refute_0_1]) ).

cnf(refute_0_5,plain,
    p0(b,X_66),
    inference(subst,[],[axiom_14:[bind(X,$fot(X_66))]]) ).

cnf(refute_0_6,plain,
    ( ~ p0(b,X_66)
    | p1(X_66,X_66,X_66) ),
    inference(subst,[],[rule_085:[bind(B,$fot(X_66)),bind(C,$fot(b))]]) ).

cnf(refute_0_7,plain,
    p1(X_66,X_66,X_66),
    inference(resolve,[$cnf( p0(b,X_66) )],[refute_0_5,refute_0_6]) ).

cnf(refute_0_8,plain,
    p1(E,E,E),
    inference(subst,[],[refute_0_7:[bind(X_66,$fot(E))]]) ).

cnf(refute_0_9,plain,
    ( ~ k0(F)
    | q2(E,F,F) ),
    inference(resolve,[$cnf( p1(E,E,E) )],[refute_0_8,rule_177]) ).

cnf(refute_0_10,plain,
    ( ~ k0(e)
    | q2(X_232,e,e) ),
    inference(subst,[],[refute_0_9:[bind(E,$fot(X_232)),bind(F,$fot(e))]]) ).

cnf(refute_0_11,plain,
    q2(X_232,e,e),
    inference(resolve,[$cnf( k0(e) )],[axiom_28,refute_0_10]) ).

cnf(refute_0_12,plain,
    q2(X_830,e,e),
    inference(subst,[],[refute_0_11:[bind(X_232,$fot(X_830))]]) ).

cnf(refute_0_13,plain,
    ( ~ n1(X_830,e,e)
    | ~ p1(e,e,e)
    | ~ q2(X_830,e,e)
    | q2(e,X_830,e) ),
    inference(subst,[],[rule_182:[bind(F,$fot(e)),bind(G,$fot(X_830)),bind(H,$fot(e))]]) ).

cnf(refute_0_14,plain,
    ( ~ n1(X_830,e,e)
    | ~ p1(e,e,e)
    | q2(e,X_830,e) ),
    inference(resolve,[$cnf( q2(X_830,e,e) )],[refute_0_12,refute_0_13]) ).

cnf(refute_0_15,plain,
    p1(e,e,e),
    inference(subst,[],[refute_0_7:[bind(X_66,$fot(e))]]) ).

cnf(refute_0_16,plain,
    ( ~ n1(X_830,e,e)
    | q2(e,X_830,e) ),
    inference(resolve,[$cnf( p1(e,e,e) )],[refute_0_15,refute_0_14]) ).

cnf(refute_0_17,plain,
    ( ~ n1(b,e,e)
    | q2(e,b,e) ),
    inference(subst,[],[refute_0_16:[bind(X_830,$fot(b))]]) ).

cnf(refute_0_18,plain,
    q2(e,b,e),
    inference(resolve,[$cnf( n1(b,e,e) )],[refute_0_4,refute_0_17]) ).

cnf(refute_0_19,plain,
    ( ~ m0(e,X_882,X_884)
    | ~ q2(e,b,e)
    | ~ s2(b)
    | s3(b,X_884) ),
    inference(subst,[],[rule_273:[bind(A,$fot(e)),bind(B,$fot(X_882)),bind(I,$fot(b)),bind(J,$fot(X_884))]]) ).

cnf(refute_0_20,plain,
    ( ~ m0(e,X_882,X_884)
    | ~ s2(b)
    | s3(b,X_884) ),
    inference(resolve,[$cnf( q2(e,b,e) )],[refute_0_18,refute_0_19]) ).

cnf(refute_0_21,plain,
    ( ~ p1(X_68,X_68,X_68)
    | q2(X_68,X_68,X_68) ),
    inference(subst,[],[rule_181:[bind(I,$fot(X_68))]]) ).

cnf(refute_0_22,plain,
    p1(X_68,X_68,X_68),
    inference(subst,[],[refute_0_7:[bind(X_66,$fot(X_68))]]) ).

cnf(refute_0_23,plain,
    q2(X_68,X_68,X_68),
    inference(resolve,[$cnf( p1(X_68,X_68,X_68) )],[refute_0_22,refute_0_21]) ).

cnf(refute_0_24,plain,
    q2(b,b,b),
    inference(subst,[],[refute_0_23:[bind(X_68,$fot(b))]]) ).

cnf(refute_0_25,plain,
    p0(b,b),
    inference(subst,[],[axiom_14:[bind(X,$fot(b))]]) ).

cnf(refute_0_26,plain,
    ( ~ p0(b,b)
    | s1(b) ),
    inference(subst,[],[rule_125:[bind(I,$fot(b))]]) ).

cnf(refute_0_27,plain,
    s1(b),
    inference(resolve,[$cnf( p0(b,b) )],[refute_0_25,refute_0_26]) ).

cnf(refute_0_28,plain,
    ( ~ q2(b,H,b)
    | s2(H) ),
    inference(resolve,[$cnf( s1(b) )],[refute_0_27,rule_189]) ).

cnf(refute_0_29,plain,
    ( ~ q2(b,b,b)
    | s2(b) ),
    inference(subst,[],[refute_0_28:[bind(H,$fot(b))]]) ).

cnf(refute_0_30,plain,
    s2(b),
    inference(resolve,[$cnf( q2(b,b,b) )],[refute_0_24,refute_0_29]) ).

cnf(refute_0_31,plain,
    ( ~ m0(e,X_882,X_884)
    | s3(b,X_884) ),
    inference(resolve,[$cnf( s2(b) )],[refute_0_30,refute_0_20]) ).

cnf(refute_0_32,plain,
    ( ~ m0(e,d,a)
    | s3(b,a) ),
    inference(subst,[],[refute_0_31:[bind(X_882,$fot(d)),bind(X_884,$fot(a))]]) ).

cnf(refute_0_33,plain,
    s3(b,a),
    inference(resolve,[$cnf( m0(e,d,a) )],[axiom_4,refute_0_32]) ).

cnf(refute_0_34,plain,
    $false,
    inference(resolve,[$cnf( s3(b,a) )],[refute_0_33,prove_this]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11  % Problem  : SYN299-1 : TPTP v8.1.0. Released v1.1.0.
% 0.07/0.12  % Command  : metis --show proof --show saturation %s
% 0.12/0.33  % Computer : n023.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 : Tue Jul 12 09:20:54 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.12/0.33  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.39/0.55  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.39/0.55  
% 0.39/0.55  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.39/0.56  
%------------------------------------------------------------------------------