%------------------------------------------------------------------------------
% File     : Metis---2.4
% Problem  : LCL856-1 : TPTP v8.1.0. Released v4.1.0.
% 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 : Sun Jul 17 12:56:37 EDT 2022

% Result   : Unsatisfiable 0.40s 0.62s
% Output   : CNFRefutation 0.40s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    4
% Syntax   : Number of clauses     :    9 (   5 unt;   0 nHn;   9 RR)
%            Number of literals    :   13 (   0 equ;   5 neg)
%            Maximal clause size   :    2 (   1 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-3 aty)
%            Number of functors    :    8 (   8 usr;   6 con; 0-3 aty)
%            Number of variables   :    4 (   2 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(cls_IT__implies__termi_0,axiom,
    ( c_Wellfounded_Oaccp(c_Predicate_Oconversep(c_Lambda_Obeta,tc_Lambda_OdB,tc_Lambda_OdB),V_t,tc_Lambda_OdB)
    | ~ hBOOL(hAPP(c_InductTermi_OIT,V_t)) ) ).

cnf(cls_type__implies__IT_0,axiom,
    ( hBOOL(hAPP(c_InductTermi_OIT,V_t))
    | ~ c_Type_Otyping(V_e,V_t,V_T) ) ).

cnf(cls_conjecture_0,negated_conjecture,
    c_Type_Otyping(v_e,v_t,v_T) ).

cnf(cls_conjecture_1,negated_conjecture,
    ~ c_Wellfounded_Oaccp(c_Predicate_Oconversep(c_Lambda_Obeta,tc_Lambda_OdB,tc_Lambda_OdB),v_t,tc_Lambda_OdB) ).

cnf(refute_0_0,plain,
    ( ~ hBOOL(hAPP(c_InductTermi_OIT,v_t))
    | c_Wellfounded_Oaccp(c_Predicate_Oconversep(c_Lambda_Obeta,tc_Lambda_OdB,tc_Lambda_OdB),v_t,tc_Lambda_OdB) ),
    inference(subst,[],[cls_IT__implies__termi_0:[bind(V_t,$fot(v_t))]]) ).

cnf(refute_0_1,plain,
    ( ~ c_Type_Otyping(v_e,v_t,v_T)
    | hBOOL(hAPP(c_InductTermi_OIT,v_t)) ),
    inference(subst,[],[cls_type__implies__IT_0:[bind(V_T,$fot(v_T)),bind(V_e,$fot(v_e)),bind(V_t,$fot(v_t))]]) ).

cnf(refute_0_2,plain,
    hBOOL(hAPP(c_InductTermi_OIT,v_t)),
    inference(resolve,[$cnf( c_Type_Otyping(v_e,v_t,v_T) )],[cls_conjecture_0,refute_0_1]) ).

cnf(refute_0_3,plain,
    c_Wellfounded_Oaccp(c_Predicate_Oconversep(c_Lambda_Obeta,tc_Lambda_OdB,tc_Lambda_OdB),v_t,tc_Lambda_OdB),
    inference(resolve,[$cnf( hBOOL(hAPP(c_InductTermi_OIT,v_t)) )],[refute_0_2,refute_0_0]) ).

cnf(refute_0_4,plain,
    $false,
    inference(resolve,[$cnf( c_Wellfounded_Oaccp(c_Predicate_Oconversep(c_Lambda_Obeta,tc_Lambda_OdB,tc_Lambda_OdB),v_t,tc_Lambda_OdB) )],[refute_0_3,cls_conjecture_1]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : LCL856-1 : TPTP v8.1.0. Released v4.1.0.
% 0.03/0.13  % Command  : metis --show proof --show saturation %s
% 0.12/0.34  % Computer : n029.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 600
% 0.12/0.34  % DateTime : Sun Jul  3 12:35:25 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.12/0.35  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.40/0.62  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.40/0.62  
% 0.40/0.62  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.40/0.63  
%------------------------------------------------------------------------------