%------------------------------------------------------------------------------
% File     : Metis---2.4
% Problem  : LCL822-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : metis --show proof --show saturation %s

% Computer : n015.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 : Sun Jul 17 12:56:19 EDT 2022

% Result   : Unsatisfiable 5.76s 5.99s
% Output   : CNFRefutation 5.76s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    3
% Syntax   : Number of clauses     :    6 (   4 unt;   0 nHn;   6 RR)
%            Number of literals    :    8 (   0 equ;   3 neg)
%            Maximal clause size   :    2 (   1 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :   13 (  13 usr;   8 con; 0-5 aty)
%            Number of variables   :    3 (   1 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(cls_lists__typings_0,axiom,
    ( c_List_Olistsp(c_COMBB(c_Ex(tc_Type_Otype),c_Type_Otyping(V_e),tc_fun(tc_Type_Otype,tc_bool),tc_bool,tc_Lambda_OdB),V_ts,tc_Lambda_OdB)
    | ~ c_Type_Otypings(V_e,V_ts,V_Ts) ) ).

cnf(cls_CHAINED_0,axiom,
    c_Type_Otypings(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),v_rs____,v_Ts____) ).

cnf(cls_conjecture_0,negated_conjecture,
    ~ c_List_Olistsp(c_COMBB(c_Ex(tc_Type_Otype),c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype)),tc_fun(tc_Type_Otype,tc_bool),tc_bool,tc_Lambda_OdB),v_rs____,tc_Lambda_OdB) ).

cnf(refute_0_0,plain,
    ( ~ c_Type_Otypings(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),v_rs____,v_Ts____)
    | c_List_Olistsp(c_COMBB(c_Ex(tc_Type_Otype),c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype)),tc_fun(tc_Type_Otype,tc_bool),tc_bool,tc_Lambda_OdB),v_rs____,tc_Lambda_OdB) ),
    inference(subst,[],[cls_lists__typings_0:[bind(V_Ts,$fot(v_Ts____)),bind(V_e,$fot(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype))),bind(V_ts,$fot(v_rs____))]]) ).

cnf(refute_0_1,plain,
    c_List_Olistsp(c_COMBB(c_Ex(tc_Type_Otype),c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype)),tc_fun(tc_Type_Otype,tc_bool),tc_bool,tc_Lambda_OdB),v_rs____,tc_Lambda_OdB),
    inference(resolve,[$cnf( c_Type_Otypings(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),v_rs____,v_Ts____) )],[cls_CHAINED_0,refute_0_0]) ).

cnf(refute_0_2,plain,
    $false,
    inference(resolve,[$cnf( c_List_Olistsp(c_COMBB(c_Ex(tc_Type_Otype),c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype)),tc_fun(tc_Type_Otype,tc_bool),tc_bool,tc_Lambda_OdB),v_rs____,tc_Lambda_OdB) )],[refute_0_1,cls_conjecture_0]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : LCL822-1 : TPTP v8.1.0. Released v4.1.0.
% 0.03/0.12  % Command  : metis --show proof --show saturation %s
% 0.13/0.33  % Computer : n015.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 600
% 0.13/0.33  % DateTime : Sun Jul  3 07:49:30 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.13/0.34  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 5.76/5.99  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 5.76/5.99  
% 5.76/5.99  % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 5.76/5.99  
%------------------------------------------------------------------------------