%------------------------------------------------------------------------------
% File     : Metis---2.4
% Problem  : LCL809-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : metis --show proof --show saturation %s

% Computer : n019.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 12:56:12 EDT 2022

% Result   : Unsatisfiable 5.88s 6.12s
% Output   : CNFRefutation 5.88s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    3
% Syntax   : Number of clauses     :    7 (   5 unt;   0 nHn;   4 RR)
%            Number of literals    :    9 (   0 equ;   3 neg)
%            Maximal clause size   :    2 (   1 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-1 aty)
%            Number of functors    :    7 (   7 usr;   4 con; 0-3 aty)
%            Number of variables   :    4 (   3 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(cls_lift__IT_0,axiom,
    ( c_InductTermi_OIT(c_Lambda_Olift(V_t,V_i))
    | ~ c_InductTermi_OIT(V_t) ) ).

cnf(cls_CHAINED_0,axiom,
    c_InductTermi_OIT(c_Lambda_Osubst(v_b____,v_u____,v_i____)) ).

cnf(cls_conjecture_0,negated_conjecture,
    ~ c_InductTermi_OIT(c_Lambda_Olift(c_Lambda_Osubst(v_b____,v_u____,v_i____),c_HOL_Ozero__class_Ozero(tc_nat))) ).

cnf(refute_0_0,plain,
    ( ~ c_InductTermi_OIT(c_Lambda_Osubst(v_b____,v_u____,v_i____))
    | c_InductTermi_OIT(c_Lambda_Olift(c_Lambda_Osubst(v_b____,v_u____,v_i____),X_949)) ),
    inference(subst,[],[cls_lift__IT_0:[bind(V_i,$fot(X_949)),bind(V_t,$fot(c_Lambda_Osubst(v_b____,v_u____,v_i____)))]]) ).

cnf(refute_0_1,plain,
    c_InductTermi_OIT(c_Lambda_Olift(c_Lambda_Osubst(v_b____,v_u____,v_i____),X_949)),
    inference(resolve,[$cnf( c_InductTermi_OIT(c_Lambda_Osubst(v_b____,v_u____,v_i____)) )],[cls_CHAINED_0,refute_0_0]) ).

cnf(refute_0_2,plain,
    c_InductTermi_OIT(c_Lambda_Olift(c_Lambda_Osubst(v_b____,v_u____,v_i____),c_HOL_Ozero__class_Ozero(tc_nat))),
    inference(subst,[],[refute_0_1:[bind(X_949,$fot(c_HOL_Ozero__class_Ozero(tc_nat)))]]) ).

cnf(refute_0_3,plain,
    $false,
    inference(resolve,[$cnf( c_InductTermi_OIT(c_Lambda_Olift(c_Lambda_Osubst(v_b____,v_u____,v_i____),c_HOL_Ozero__class_Ozero(tc_nat))) )],[refute_0_2,cls_conjecture_0]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : LCL809-1 : TPTP v8.1.0. Released v4.1.0.
% 0.03/0.13  % Command  : metis --show proof --show saturation %s
% 0.12/0.34  % Computer : n019.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 : Sat Jul  2 21:38:23 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.12/0.34  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 5.88/6.12  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 5.88/6.12  
% 5.88/6.12  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 5.88/6.12  
%------------------------------------------------------------------------------