%------------------------------------------------------------------------------
% File     : Metis---2.4
% Problem  : SWV817-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : metis --show proof --show saturation %s

% Computer : n016.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 20:40:17 EDT 2022

% Result   : Unsatisfiable 0.13s 0.36s
% Output   : CNFRefutation 0.13s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    6
% Syntax   : Number of clauses     :   17 (  10 unt;   0 nHn;  10 RR)
%            Number of literals    :   26 (  22 equ;  11 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    4 (   1 usr;   2 prp; 0-2 aty)
%            Number of functors    :    3 (   3 usr;   3 con; 0-0 aty)
%            Number of variables   :   19 (   8 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(cls_state__not__singleton__def__raw_0,axiom,
    ( v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__raw__1 != v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__raw__2
    | ~ c_Hoare__Mirabelle_Ostate__not__singleton ) ).

cnf(cls_conjecture_0,negated_conjecture,
    c_Hoare__Mirabelle_Ostate__not__singleton ).

cnf(cls_conjecture_1,negated_conjecture,
    V_s = v_x ).

cnf(refute_0_0,plain,
    X_0 = v_x,
    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_x
    | v_x = X_0 ),
    inference(subst,[],[refute_0_3:[bind(X,$fot(X_0)),bind(Y,$fot(v_x))]]) ).

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

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

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

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

cnf(refute_0_9,plain,
    ( V_s != X_0
    | X_0 = V_s ),
    inference(subst,[],[refute_0_3:[bind(X,$fot(V_s)),bind(Y,$fot(X_0))]]) ).

cnf(refute_0_10,plain,
    X_0 = V_s,
    inference(resolve,[$cnf( $equal(V_s,X_0) )],[refute_0_8,refute_0_9]) ).

cnf(refute_0_11,plain,
    v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__raw__1 = v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__raw__2,
    inference(subst,[],[refute_0_10:[bind(V_s,$fot(v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__raw__2)),bind(X_0,$fot(v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__raw__1))]]) ).

cnf(refute_0_12,plain,
    ~ c_Hoare__Mirabelle_Ostate__not__singleton,
    inference(resolve,[$cnf( $equal(v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__raw__1,v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__raw__2) )],[refute_0_11,cls_state__not__singleton__def__raw_0]) ).

cnf(refute_0_13,plain,
    $false,
    inference(resolve,[$cnf( c_Hoare__Mirabelle_Ostate__not__singleton )],[cls_conjecture_0,refute_0_12]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13  % Problem  : SWV817-1 : TPTP v8.1.0. Released v4.1.0.
% 0.12/0.13  % Command  : metis --show proof --show saturation %s
% 0.13/0.35  % Computer : n016.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 : Wed Jun 15 13:44:02 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 0.13/0.35  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.13/0.36  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.36  
% 0.13/0.36  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.13/0.36  
%------------------------------------------------------------------------------