%------------------------------------------------------------------------------
% File     : Metis---2.4
% Problem  : SWV866-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : metis --show proof --show saturation %s

% Computer : n021.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 20:40:26 EDT 2022

% Result   : Unsatisfiable 0.19s 0.36s
% Output   : CNFRefutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    6
% Syntax   : Number of clauses     :   14 (   7 unt;   0 nHn;  13 RR)
%            Number of literals    :   23 (  18 equ;  12 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   :    1 (   1 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_Z_H = v_s_H ).

cnf(refute_0_0,plain,
    v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__raw__1 = v_s_H,
    inference(subst,[],[cls_conjecture_1:[bind(V_Z_H,$fot(v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__raw__1))]]) ).

cnf(refute_0_1,plain,
    ( v_s_H != v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__raw__2
    | v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__raw__1 != v_s_H
    | v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__raw__1 = v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__raw__2 ),
    introduced(tautology,[equality,[$cnf( $equal(v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__raw__1,v_s_H) ),[1],$fot(v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__raw__2)]]) ).

cnf(refute_0_2,plain,
    ( v_s_H != v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__raw__2
    | v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__raw__1 = v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__raw__2 ),
    inference(resolve,[$cnf( $equal(v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__raw__1,v_s_H) )],[refute_0_0,refute_0_1]) ).

cnf(refute_0_3,plain,
    v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__raw__2 = v_s_H,
    inference(subst,[],[cls_conjecture_1:[bind(V_Z_H,$fot(v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__raw__2))]]) ).

cnf(refute_0_4,plain,
    ( v_s_H != v_s_H
    | v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__raw__2 != v_s_H
    | v_s_H = v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__raw__2 ),
    introduced(tautology,[equality,[$cnf( ~ $equal(v_s_H,v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__raw__2) ),[1],$fot(v_s_H)]]) ).

cnf(refute_0_5,plain,
    ( v_s_H != v_s_H
    | v_s_H = v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__raw__2 ),
    inference(resolve,[$cnf( $equal(v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__raw__2,v_s_H) )],[refute_0_3,refute_0_4]) ).

cnf(refute_0_6,plain,
    ( v_s_H != v_s_H
    | v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__raw__1 = v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__raw__2 ),
    inference(resolve,[$cnf( $equal(v_s_H,v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__raw__2) )],[refute_0_5,refute_0_2]) ).

cnf(refute_0_7,plain,
    ( v_s_H != v_s_H
    | ~ 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_6,cls_state__not__singleton__def__raw_0]) ).

cnf(refute_0_8,plain,
    v_s_H = v_s_H,
    introduced(tautology,[refl,[$fot(v_s_H)]]) ).

cnf(refute_0_9,plain,
    ~ c_Hoare__Mirabelle_Ostate__not__singleton,
    inference(resolve,[$cnf( $equal(v_s_H,v_s_H) )],[refute_0_8,refute_0_7]) ).

cnf(refute_0_10,plain,
    $false,
    inference(resolve,[$cnf( c_Hoare__Mirabelle_Ostate__not__singleton )],[cls_conjecture_0,refute_0_9]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SWV866-1 : TPTP v8.1.0. Released v4.1.0.
% 0.03/0.13  % Command  : metis --show proof --show saturation %s
% 0.13/0.34  % Computer : n021.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 600
% 0.13/0.34  % DateTime : Thu Jun 16 01:01:44 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.13/0.34  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.19/0.36  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.36  
% 0.19/0.36  % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 0.19/0.36  
%------------------------------------------------------------------------------