%------------------------------------------------------------------------------
% File     : Metis---2.4
% Problem  : SYN208-1 : TPTP v8.1.0. Released v1.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : metis --show proof --show saturation %s

% Computer : n006.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 09:00:26 EDT 2022

% Result   : Unsatisfiable 0.41s 0.58s
% Output   : CNFRefutation 0.43s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :   11
% Syntax   : Number of clauses     :   32 (  15 unt;   0 nHn;  28 RR)
%            Number of literals    :   58 (   0 equ;  27 neg)
%            Maximal clause size   :    4 (   1 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :   10 (   9 usr;   1 prp; 0-3 aty)
%            Number of functors    :    3 (   3 usr;   3 con; 0-0 aty)
%            Number of variables   :   25 (  14 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(axiom_1,axiom,
    s0(d) ).

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

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

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

cnf(rule_072,axiom,
    ( p1(F,F,F)
    | ~ s0(G)
    | ~ s0(F) ) ).

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

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

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

cnf(rule_190,axiom,
    ( s2(d)
    | ~ s1(a)
    | ~ s0(d) ) ).

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

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

cnf(refute_0_0,plain,
    m0(d,d,X_903),
    inference(subst,[],[axiom_19:[bind(X,$fot(d)),bind(Y,$fot(X_903))]]) ).

cnf(refute_0_1,plain,
    ( ~ s0(d)
    | p1(d,d,d) ),
    inference(subst,[],[rule_072:[bind(F,$fot(d)),bind(G,$fot(d))]]) ).

cnf(refute_0_2,plain,
    p1(d,d,d),
    inference(resolve,[$cnf( s0(d) )],[axiom_1,refute_0_1]) ).

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

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

cnf(refute_0_5,plain,
    ( ~ m0(d,X_882,X_884)
    | ~ q2(d,d,d)
    | ~ s2(d)
    | s3(d,X_884) ),
    inference(subst,[],[rule_273:[bind(A,$fot(d)),bind(B,$fot(X_882)),bind(I,$fot(d)),bind(J,$fot(X_884))]]) ).

cnf(refute_0_6,plain,
    ( ~ m0(d,X_882,X_884)
    | ~ s2(d)
    | s3(d,X_884) ),
    inference(resolve,[$cnf( q2(d,d,d) )],[refute_0_4,refute_0_5]) ).

cnf(refute_0_7,plain,
    ( ~ s1(a)
    | s2(d) ),
    inference(resolve,[$cnf( s0(d) )],[axiom_1,rule_190]) ).

cnf(refute_0_8,plain,
    p0(b,b),
    inference(subst,[],[axiom_14:[bind(X,$fot(b))]]) ).

cnf(refute_0_9,plain,
    ( ~ p0(b,b)
    | s1(b) ),
    inference(subst,[],[rule_125:[bind(I,$fot(b))]]) ).

cnf(refute_0_10,plain,
    s1(b),
    inference(resolve,[$cnf( p0(b,b) )],[refute_0_8,refute_0_9]) ).

cnf(refute_0_11,plain,
    ( ~ q0(a,b)
    | ~ s1(X_209)
    | s1(a) ),
    inference(subst,[],[rule_126:[bind(F,$fot(a)),bind(G,$fot(b)),bind(H,$fot(X_209))]]) ).

cnf(refute_0_12,plain,
    ( ~ s1(X_209)
    | s1(a) ),
    inference(resolve,[$cnf( q0(a,b) )],[axiom_36,refute_0_11]) ).

cnf(refute_0_13,plain,
    ( ~ s1(b)
    | s1(a) ),
    inference(subst,[],[refute_0_12:[bind(X_209,$fot(b))]]) ).

cnf(refute_0_14,plain,
    s1(a),
    inference(resolve,[$cnf( s1(b) )],[refute_0_10,refute_0_13]) ).

cnf(refute_0_15,plain,
    s2(d),
    inference(resolve,[$cnf( s1(a) )],[refute_0_14,refute_0_7]) ).

cnf(refute_0_16,plain,
    ( ~ m0(d,X_882,X_884)
    | s3(d,X_884) ),
    inference(resolve,[$cnf( s2(d) )],[refute_0_15,refute_0_6]) ).

cnf(refute_0_17,plain,
    ( ~ m0(d,d,X_903)
    | s3(d,X_903) ),
    inference(subst,[],[refute_0_16:[bind(X_882,$fot(d)),bind(X_884,$fot(X_903))]]) ).

cnf(refute_0_18,plain,
    s3(d,X_903),
    inference(resolve,[$cnf( m0(d,d,X_903) )],[refute_0_0,refute_0_17]) ).

cnf(refute_0_19,plain,
    s3(d,b),
    inference(subst,[],[refute_0_18:[bind(X_903,$fot(b))]]) ).

cnf(refute_0_20,plain,
    $false,
    inference(resolve,[$cnf( s3(d,b) )],[refute_0_19,prove_this]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13  % Problem  : SYN208-1 : TPTP v8.1.0. Released v1.1.0.
% 0.12/0.14  % Command  : metis --show proof --show saturation %s
% 0.13/0.35  % Computer : n006.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 600
% 0.13/0.35  % DateTime : Tue Jul 12 08:10:50 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 0.13/0.36  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.41/0.58  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.41/0.58  
% 0.41/0.58  % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 0.43/0.58  
%------------------------------------------------------------------------------