%------------------------------------------------------------------------------
% File     : Metis---2.4
% Problem  : LCL755-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : metis --show proof --show saturation %s

% Computer : n008.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 12:55:41 EDT 2022

% Result   : Unsatisfiable 0.75s 0.91s
% Output   : CNFRefutation 0.75s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    3
% Syntax   : Number of clauses     :    8 (   6 unt;   0 nHn;   5 RR)
%            Number of literals    :   10 (   0 equ;   3 neg)
%            Maximal clause size   :    2 (   1 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-1 aty)
%            Number of functors    :    7 (   7 usr;   3 con; 0-3 aty)
%            Number of variables   :    9 (   6 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(cls_Lambda_0,axiom,
    ( c_InductTermi_OIT(c_Lambda_OdB_OAbs(V_r))
    | ~ c_InductTermi_OIT(V_r) ) ).

cnf(cls_conjecture_1,negated_conjecture,
    c_InductTermi_OIT(c_Lambda_Osubst(v_ra,c_Lambda_OdB_OVar(V_i),V_j)) ).

cnf(cls_conjecture_2,negated_conjecture,
    ~ c_InductTermi_OIT(c_Lambda_OdB_OAbs(c_Lambda_Osubst(v_ra,c_Lambda_OdB_OVar(c_Suc(v_ia)),c_Suc(v_ja)))) ).

cnf(refute_0_0,plain,
    ( ~ c_InductTermi_OIT(c_Lambda_Osubst(v_ra,c_Lambda_OdB_OVar(X_64),X_65))
    | c_InductTermi_OIT(c_Lambda_OdB_OAbs(c_Lambda_Osubst(v_ra,c_Lambda_OdB_OVar(X_64),X_65))) ),
    inference(subst,[],[cls_Lambda_0:[bind(V_r,$fot(c_Lambda_Osubst(v_ra,c_Lambda_OdB_OVar(X_64),X_65)))]]) ).

cnf(refute_0_1,plain,
    c_InductTermi_OIT(c_Lambda_Osubst(v_ra,c_Lambda_OdB_OVar(X_64),X_65)),
    inference(subst,[],[cls_conjecture_1:[bind(V_i,$fot(X_64)),bind(V_j,$fot(X_65))]]) ).

cnf(refute_0_2,plain,
    c_InductTermi_OIT(c_Lambda_OdB_OAbs(c_Lambda_Osubst(v_ra,c_Lambda_OdB_OVar(X_64),X_65))),
    inference(resolve,[$cnf( c_InductTermi_OIT(c_Lambda_Osubst(v_ra,c_Lambda_OdB_OVar(X_64),X_65)) )],[refute_0_1,refute_0_0]) ).

cnf(refute_0_3,plain,
    c_InductTermi_OIT(c_Lambda_OdB_OAbs(c_Lambda_Osubst(v_ra,c_Lambda_OdB_OVar(c_Suc(v_ia)),c_Suc(v_ja)))),
    inference(subst,[],[refute_0_2:[bind(X_64,$fot(c_Suc(v_ia))),bind(X_65,$fot(c_Suc(v_ja)))]]) ).

cnf(refute_0_4,plain,
    $false,
    inference(resolve,[$cnf( c_InductTermi_OIT(c_Lambda_OdB_OAbs(c_Lambda_Osubst(v_ra,c_Lambda_OdB_OVar(c_Suc(v_ia)),c_Suc(v_ja)))) )],[refute_0_3,cls_conjecture_2]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11  % Problem  : LCL755-1 : TPTP v8.1.0. Released v4.1.0.
% 0.06/0.12  % Command  : metis --show proof --show saturation %s
% 0.12/0.33  % Computer : n008.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Mon Jul  4 18:35:53 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.12/0.33  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.75/0.91  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.75/0.91  
% 0.75/0.91  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.75/0.92  
%------------------------------------------------------------------------------