%------------------------------------------------------------------------------
% File     : Metis---2.4
% Problem  : SYN177-1 : 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 09:00:13 EDT 2022

% Result   : Unsatisfiable 0.18s 0.49s
% Output   : CNFRefutation 0.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :    7
% Syntax   : Number of clauses     :   21 (  13 unt;   0 nHn;  13 RR)
%            Number of literals    :   32 (   0 equ;  15 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   :   21 (  10 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(axiom_14,axiom,
    p0(b,X) ).

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

cnf(axiom_32,axiom,
    k0(b) ).

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

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

cnf(rule_255,axiom,
    ( q3(G,H)
    | ~ q2(I,G,H)
    | ~ n0(I,G) ) ).

cnf(prove_this,negated_conjecture,
    ~ q3(X,b) ).

cnf(refute_0_0,plain,
    p0(b,X_67),
    inference(subst,[],[axiom_14:[bind(X,$fot(X_67))]]) ).

cnf(refute_0_1,plain,
    ( ~ p0(b,X_67)
    | p1(X_67,X_67,X_67) ),
    inference(subst,[],[rule_085:[bind(B,$fot(X_67)),bind(C,$fot(b))]]) ).

cnf(refute_0_2,plain,
    p1(X_67,X_67,X_67),
    inference(resolve,[$cnf( p0(b,X_67) )],[refute_0_0,refute_0_1]) ).

cnf(refute_0_3,plain,
    p1(E,E,E),
    inference(subst,[],[refute_0_2:[bind(X_67,$fot(E))]]) ).

cnf(refute_0_4,plain,
    ( ~ k0(F)
    | q2(E,F,F) ),
    inference(resolve,[$cnf( p1(E,E,E) )],[refute_0_3,rule_177]) ).

cnf(refute_0_5,plain,
    ( ~ k0(b)
    | q2(X_231,b,b) ),
    inference(subst,[],[refute_0_4:[bind(E,$fot(X_231)),bind(F,$fot(b))]]) ).

cnf(refute_0_6,plain,
    q2(X_231,b,b),
    inference(resolve,[$cnf( k0(b) )],[axiom_32,refute_0_5]) ).

cnf(refute_0_7,plain,
    q2(X_326,b,b),
    inference(subst,[],[refute_0_6:[bind(X_231,$fot(X_326))]]) ).

cnf(refute_0_8,plain,
    ( ~ n0(X_326,b)
    | ~ q2(X_326,b,b)
    | q3(b,b) ),
    inference(subst,[],[rule_255:[bind(G,$fot(b)),bind(H,$fot(b)),bind(I,$fot(X_326))]]) ).

cnf(refute_0_9,plain,
    ( ~ n0(X_326,b)
    | q3(b,b) ),
    inference(resolve,[$cnf( q2(X_326,b,b) )],[refute_0_7,refute_0_8]) ).

cnf(refute_0_10,plain,
    ~ q3(b,b),
    inference(subst,[],[prove_this:[bind(X,$fot(b))]]) ).

cnf(refute_0_11,plain,
    ~ n0(X_326,b),
    inference(resolve,[$cnf( q3(b,b) )],[refute_0_9,refute_0_10]) ).

cnf(refute_0_12,plain,
    ~ n0(a,b),
    inference(subst,[],[refute_0_11:[bind(X_326,$fot(a))]]) ).

cnf(refute_0_13,plain,
    $false,
    inference(resolve,[$cnf( n0(a,b) )],[axiom_15,refute_0_12]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11  % Problem  : SYN177-1 : TPTP v8.1.0. Released v1.1.0.
% 0.07/0.12  % Command  : metis --show proof --show saturation %s
% 0.12/0.33  % Computer : n029.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 02:25:17 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.12/0.34  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.18/0.49  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.49  
% 0.18/0.49  % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 0.18/0.49  
%------------------------------------------------------------------------------