%------------------------------------------------------------------------------
% File     : Metis---2.4
% Problem  : SWV818-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : metis --show proof --show saturation %s

% Computer : n014.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 : Wed Jul 20 20:40:18 EDT 2022

% Result   : Unsatisfiable 0.12s 0.34s
% Output   : CNFRefutation 0.12s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :    7
% Syntax   : Number of clauses     :   18 (  11 unt;   0 nHn;  11 RR)
%            Number of literals    :   28 (  27 equ;  13 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    3 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    3 (   3 usr;   3 con; 0-0 aty)
%            Number of variables   :   19 (   9 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(cls_conjecture_0,negated_conjecture,
    v_s != v_t ).

cnf(cls_conjecture_1,negated_conjecture,
    V_s = v_ta ).

cnf(refute_0_0,plain,
    X_0 = v_ta,
    inference(subst,[],[cls_conjecture_1:[bind(V_s,$fot(X_0))]]) ).

cnf(refute_0_1,plain,
    X = X,
    introduced(tautology,[refl,[$fot(X)]]) ).

cnf(refute_0_2,plain,
    ( X != X
    | X != Y
    | Y = X ),
    introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).

cnf(refute_0_3,plain,
    ( X != Y
    | Y = X ),
    inference(resolve,[$cnf( $equal(X,X) )],[refute_0_1,refute_0_2]) ).

cnf(refute_0_4,plain,
    ( X_0 != v_ta
    | v_ta = X_0 ),
    inference(subst,[],[refute_0_3:[bind(X,$fot(X_0)),bind(Y,$fot(v_ta))]]) ).

cnf(refute_0_5,plain,
    v_ta = X_0,
    inference(resolve,[$cnf( $equal(X_0,v_ta) )],[refute_0_0,refute_0_4]) ).

cnf(refute_0_6,plain,
    ( V_s != v_ta
    | v_ta != X_0
    | V_s = X_0 ),
    introduced(tautology,[equality,[$cnf( ~ $equal(V_s,X_0) ),[0],$fot(v_ta)]]) ).

cnf(refute_0_7,plain,
    ( V_s != v_ta
    | V_s = X_0 ),
    inference(resolve,[$cnf( $equal(v_ta,X_0) )],[refute_0_5,refute_0_6]) ).

cnf(refute_0_8,plain,
    V_s = X_0,
    inference(resolve,[$cnf( $equal(V_s,v_ta) )],[cls_conjecture_1,refute_0_7]) ).

cnf(refute_0_9,plain,
    v_s = X_2,
    inference(subst,[],[refute_0_8:[bind(V_s,$fot(v_s)),bind(X_0,$fot(X_2))]]) ).

cnf(refute_0_10,plain,
    ( X_2 != v_t
    | v_s != X_2
    | v_s = v_t ),
    introduced(tautology,[equality,[$cnf( $equal(v_s,X_2) ),[1],$fot(v_t)]]) ).

cnf(refute_0_11,plain,
    ( X_2 != v_t
    | v_s = v_t ),
    inference(resolve,[$cnf( $equal(v_s,X_2) )],[refute_0_9,refute_0_10]) ).

cnf(refute_0_12,plain,
    X_2 != v_t,
    inference(resolve,[$cnf( $equal(v_s,v_t) )],[refute_0_11,cls_conjecture_0]) ).

cnf(refute_0_13,plain,
    v_t != v_t,
    inference(subst,[],[refute_0_12:[bind(X_2,$fot(v_t))]]) ).

cnf(refute_0_14,plain,
    v_t = v_t,
    introduced(tautology,[refl,[$fot(v_t)]]) ).

cnf(refute_0_15,plain,
    $false,
    inference(resolve,[$cnf( $equal(v_t,v_t) )],[refute_0_14,refute_0_13]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem  : SWV818-1 : TPTP v8.1.0. Released v4.1.0.
% 0.10/0.12  % Command  : metis --show proof --show saturation %s
% 0.12/0.33  % Computer : n014.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 : Wed Jun 15 04:57:51 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.12/0.34  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.12/0.34  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.34  
% 0.12/0.34  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.12/0.34  
%------------------------------------------------------------------------------