%------------------------------------------------------------------------------
% File     : SPASS---3.9
% Problem  : LCL848-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm  : none
% Format   : tptp
% Command  : run_spass %d %s

% Computer : n004.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 14:40:34 EDT 2022

% Result   : Unsatisfiable 0.20s 0.57s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :    3
% Syntax   : Number of clauses     :    5 (   4 unt;   0 nHn;   5 RR)
%            Number of literals    :    6 (   0 equ;   3 neg)
%            Maximal clause size   :    2 (   1 avg)
%            Maximal term depth    :    6 (   2 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :   14 (  14 usr;   8 con; 0-5 aty)
%            Number of variables   :    0 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(627,axiom,
    ( ~ c_List_Olistsp(c_InductTermi_OIT,u,tc_Lambda_OdB)
    | hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(v),u,tc_Lambda_OdB,tc_Lambda_OdB))) ),
    file('LCL848-1.p',unknown),
    [] ).

cnf(658,axiom,
    c_List_Olistsp(c_InductTermi_OIT,c_List_Olist_OCons(hAPP(hAPP(c_Lambda_Olift,v_ta____),c_HOL_Ozero__class_Ozero(tc_nat)),c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB),tc_Lambda_OdB),
    file('LCL848-1.p',unknown),
    [] ).

cnf(723,axiom,
    ~ hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(c_HOL_Ozero__class_Ozero(tc_nat)),c_List_Olist_OCons(hAPP(hAPP(c_Lambda_Olift,v_ta____),c_HOL_Ozero__class_Ozero(tc_nat)),c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB))),
    file('LCL848-1.p',unknown),
    [] ).

cnf(755,plain,
    ~ c_List_Olistsp(c_InductTermi_OIT,c_List_Olist_OCons(hAPP(hAPP(c_Lambda_Olift,v_ta____),c_HOL_Ozero__class_Ozero(tc_nat)),c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB),tc_Lambda_OdB),
    inference(res,[status(thm),theory(equality)],[627,723]),
    [iquote('0:Res:627.1,723.0')] ).

cnf(763,plain,
    $false,
    inference(mrr,[status(thm)],[755,658]),
    [iquote('0:MRR:755.0,658.0')] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : LCL848-1 : TPTP v8.1.0. Released v4.1.0.
% 0.06/0.13  % Command  : run_spass %d %s
% 0.14/0.34  % Computer : n004.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % WCLimit  : 600
% 0.14/0.34  % DateTime : Mon Jul  4 04:38:38 EDT 2022
% 0.14/0.34  % CPUTime  : 
% 0.20/0.57  
% 0.20/0.57  SPASS V 3.9 
% 0.20/0.57  SPASS beiseite: Proof found.
% 0.20/0.57  % SZS status Theorem
% 0.20/0.57  Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p 
% 0.20/0.57  SPASS derived 9 clauses, backtracked 0 clauses, performed 0 splits and kept 587 clauses.
% 0.20/0.57  SPASS allocated 76858 KBytes.
% 0.20/0.57  SPASS spent	0:00:00.21 on the problem.
% 0.20/0.57  		0:00:00.06 for the input.
% 0.20/0.57  		0:00:00.00 for the FLOTTER CNF translation.
% 0.20/0.57  		0:00:00.00 for inferences.
% 0.20/0.57  		0:00:00.00 for the backtracking.
% 0.20/0.57  		0:00:00.09 for the reduction.
% 0.20/0.57  
% 0.20/0.57  
% 0.20/0.57  Here is a proof with depth 1, length 5 :
% 0.20/0.57  % SZS output start Refutation
% See solution above
% 0.20/0.57  Formulae used in the proof : cls_IT_OVar_0 cls_CHAINED_0 cls_conjecture_0
% 0.20/0.57  
%------------------------------------------------------------------------------