%------------------------------------------------------------------------------
% File     : CSE_E---1.5
% Problem  : LCL853-1 : TPTP v8.1.2. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s

% Computer : n013.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  : 300s
% DateTime : Thu Aug 31 06:59:58 EDT 2023

% Result   : Unsatisfiable 0.21s 0.59s
% Output   : CNFRefutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :   16
% Syntax   : Number of formulae    :   19 (   5 unt;  14 typ;   0 def)
%            Number of atoms       :    5 (   0 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    2 (   2   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    2 (   1 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   17 (  11   >;   6   *;   0   +;   0  <<)
%            Number of predicates  :    7 (   6 usr;   1 prp; 0-3 aty)
%            Number of functors    :    8 (   8 usr;   3 con; 0-3 aty)
%            Number of variables   :    0 (   0 sgn;   0   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
tff(decl_22,type,
    class_Orderings_Opreorder: $i > $o ).

tff(decl_23,type,
    c_HOL_Oord__class_Oless: ( $i * $i * $i ) > $o ).

tff(decl_24,type,
    class_Orderings_Olinorder: $i > $o ).

tff(decl_25,type,
    class_Orderings_Oorder: $i > $o ).

tff(decl_26,type,
    c_Lambda_OdB_OApp: ( $i * $i ) > $i ).

tff(decl_27,type,
    c_Lambda_Osubst: ( $i * $i * $i ) > $i ).

tff(decl_28,type,
    c_Lambda_OdB_OAbs: $i > $i ).

tff(decl_29,type,
    c_Lambda_OdB_OVar: $i > $i ).

tff(decl_30,type,
    tc_nat: $i ).

tff(decl_31,type,
    class_Ring__and__Field_Oordered__idom: $i > $o ).

tff(decl_32,type,
    c_Lambda_Olift: ( $i * $i ) > $i ).

tff(decl_33,type,
    c_InductTermi_OIT: $i > $o ).

tff(decl_34,type,
    v_s____: $i ).

tff(decl_35,type,
    v_ta____: $i ).

cnf(cls_App_I2_J_0,axiom,
    c_InductTermi_OIT(v_s____),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_App_I2_J_0) ).

cnf(cls_conjecture_0,negated_conjecture,
    ~ c_InductTermi_OIT(v_s____),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).

cnf(c_0_2,axiom,
    c_InductTermi_OIT(v_s____),
    cls_App_I2_J_0 ).

cnf(c_0_3,negated_conjecture,
    ~ c_InductTermi_OIT(v_s____),
    cls_conjecture_0 ).

cnf(c_0_4,plain,
    $false,
    inference(sr,[status(thm)],[c_0_2,c_0_3]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem    : LCL853-1 : TPTP v8.1.2. Released v4.1.0.
% 0.00/0.14  % Command    : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.13/0.35  % Computer : n013.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit   : 300
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Fri Aug 25 04:49:17 EDT 2023
% 0.13/0.35  % CPUTime  : 
% 0.21/0.57  start to proof: theBenchmark
% 0.21/0.59  % Version  : CSE_E---1.5
% 0.21/0.59  % Problem  : theBenchmark.p
% 0.21/0.59  % Proof found
% 0.21/0.59  % SZS status Theorem for theBenchmark.p
% 0.21/0.59  % SZS output start Proof
% See solution above
% 0.21/0.59  % Total time : 0.004000 s
% 0.21/0.59  % SZS output end Proof
% 0.21/0.59  % Total time : 0.007000 s
%------------------------------------------------------------------------------