%------------------------------------------------------------------------------
% File     : SPASS---3.9
% Problem  : LCL839-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm  : none
% Format   : tptp
% Command  : run_spass %d %s

% Computer : n027.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 14:40:30 EDT 2022

% Result   : Unsatisfiable 0.18s 0.47s
% Output   : Refutation 0.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    4
% Syntax   : Number of clauses     :    7 (   5 unt;   0 nHn;   7 RR)
%            Number of literals    :    9 (   0 equ;   5 neg)
%            Maximal clause size   :    2 (   1 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   2 prp; 0-3 aty)
%            Number of functors    :   16 (  16 usr;  12 con; 0-4 aty)
%            Number of variables   :    0 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(136,axiom,
    ( ~ c_Type_Otyping(u,hAPP(hAPP(c_Lambda_OdB_OApp,v),w),x)
    | c_Type_Otyping(u,w,c_Type_Osko__Type__Xtyping__elims__2__1(x,u,v,w)) ),
    file('LCL839-1.p',unknown),
    [] ).

cnf(364,axiom,
    c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(v_r____)),v_a____),v_Ua____),
    file('LCL839-1.p',unknown),
    [] ).

cnf(388,axiom,
    ~ v_thesis____,
    file('LCL839-1.p',unknown),
    [] ).

cnf(389,axiom,
    ( ~ c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),v_a____,u)
    | v_thesis____ ),
    file('LCL839-1.p',unknown),
    [] ).

cnf(390,plain,
    ~ c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),v_a____,u),
    inference(mrr,[status(thm)],[389,388]),
    [iquote('0:MRR:389.1,388.0')] ).

cnf(428,plain,
    ~ c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),hAPP(hAPP(c_Lambda_OdB_OApp,u),v_a____),v),
    inference(res,[status(thm),theory(equality)],[136,390]),
    [iquote('0:Res:136.1,390.0')] ).

cnf(433,plain,
    $false,
    inference(unc,[status(thm)],[428,364]),
    [iquote('0:UnC:428.0,364.0')] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11  % Problem  : LCL839-1 : TPTP v8.1.0. Released v4.1.0.
% 0.06/0.12  % Command  : run_spass %d %s
% 0.10/0.33  % Computer : n027.cluster.edu
% 0.10/0.33  % Model    : x86_64 x86_64
% 0.10/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.33  % Memory   : 8042.1875MB
% 0.10/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.33  % CPULimit : 300
% 0.10/0.33  % WCLimit  : 600
% 0.10/0.33  % DateTime : Sun Jul  3 11:07:09 EDT 2022
% 0.10/0.33  % CPUTime  : 
% 0.18/0.47  
% 0.18/0.47  SPASS V 3.9 
% 0.18/0.47  SPASS beiseite: Proof found.
% 0.18/0.47  % SZS status Theorem
% 0.18/0.47  Problem: /export/starexec/sandbox/benchmark/theBenchmark.p 
% 0.18/0.47  SPASS derived 8 clauses, backtracked 0 clauses, performed 0 splits and kept 319 clauses.
% 0.18/0.47  SPASS allocated 76295 KBytes.
% 0.18/0.47  SPASS spent	0:00:00.12 on the problem.
% 0.18/0.47  		0:00:00.04 for the input.
% 0.18/0.47  		0:00:00.00 for the FLOTTER CNF translation.
% 0.18/0.47  		0:00:00.00 for inferences.
% 0.18/0.47  		0:00:00.00 for the backtracking.
% 0.18/0.47  		0:00:00.04 for the reduction.
% 0.18/0.47  
% 0.18/0.47  
% 0.18/0.47  Here is a proof with depth 1, length 7 :
% 0.18/0.47  % SZS output start Refutation
% See solution above
% 0.18/0.47  Formulae used in the proof : cls_typing__elims_I2_J_1 cls_CHAINED_0 cls_conjecture_0 cls_conjecture_1
% 0.18/0.47  
%------------------------------------------------------------------------------