TSTP Solution File: ITP149^1 by E---3.1.00

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1.00
% Problem  : ITP149^1 : TPTP v8.1.2. Released v7.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n031.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 : Sat May  4 08:07:08 EDT 2024

% Result   : Theorem 97.12s 12.90s
% Output   : CNFRefutation 97.12s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   29
% Syntax   : Number of formulae    :   57 (  13 unt;  21 typ;   0 def)
%            Number of atoms       :   86 (  13 equ;   0 cnn)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :  511 (  42   ~;  31   |;  12   &; 419   @)
%                                         (   0 <=>;   7  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   7 avg)
%            Number of types       :    4 (   3 usr)
%            Number of type conns  :   16 (  16   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   20 (  18 usr;  10 con; 0-2 aty)
%            Number of variables   :   44 (   2   ^  38   !;   4   ?;  44   :)

% Comments : 
%------------------------------------------------------------------------------
thf(decl_sort1,type,
    real: $tType ).

thf(decl_sort2,type,
    set_a: $tType ).

thf(decl_sort3,type,
    a: $tType ).

thf(decl_23,type,
    elemen49976720ball_a: a > real > set_a ).

thf(decl_28,type,
    minus_minus_a: a > a > a ).

thf(decl_34,type,
    zero_zero_real: real ).

thf(decl_35,type,
    zero_zero_a: a ).

thf(decl_38,type,
    inner_1173012732nner_a: a > a > real ).

thf(decl_43,type,
    ord_less_real: real > real > $o ).

thf(decl_49,type,
    ord_less_eq_real: real > real > $o ).

thf(decl_60,type,
    poinca659159244_rot_a: a > a ).

thf(decl_76,type,
    member_a: a > set_a > $o ).

thf(decl_77,type,
    x: set_a ).

thf(decl_78,type,
    a2: a ).

thf(decl_79,type,
    b: a ).

thf(decl_80,type,
    d: real ).

thf(decl_81,type,
    f: a > a ).

thf(decl_82,type,
    s: a ).

thf(decl_84,type,
    x2: a ).

thf(decl_86,type,
    esk1_0: a ).

thf(decl_123,type,
    esk38_2: real > real > a ).

thf(conj_0,conjecture,
    ? [X124: real] :
      ( ( ord_less_real @ zero_zero_real @ X124 )
      & ? [X437: real] :
          ( ( ord_less_real @ zero_zero_real @ X437 )
          & ! [X107: a] :
              ( ( member_a @ X107 @ ( elemen49976720ball_a @ x2 @ X124 ) )
             => ( ord_less_eq_real @ X437 @ ( inner_1173012732nner_a @ ( f @ X107 ) @ ( poinca659159244_rot_a @ ( minus_minus_a @ a2 @ b ) ) ) ) ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.E80uGwlm6y/E---3.1_19361.p',conj_0) ).

thf(fact_77_inner__commute,axiom,
    ( inner_1173012732nner_a
    = ( ^ [X29: a,X56: a] : ( inner_1173012732nner_a @ X56 @ X29 ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.E80uGwlm6y/E---3.1_19361.p',fact_77_inner__commute) ).

thf(fact_246_verit__la__disequality,axiom,
    ! [X270: real,X271: real] :
      ( ( X270 = X271 )
      | ~ ( ord_less_eq_real @ X270 @ X271 )
      | ~ ( ord_less_eq_real @ X271 @ X270 ) ),
    file('/export/starexec/sandbox2/tmp/tmp.E80uGwlm6y/E---3.1_19361.p',fact_246_verit__la__disequality) ).

thf(fact_5__092_060open_062_092_060forall_062x_092_060in_062cball_Ax_Ad_O_Af_As_A_092_060bullet_062_Arot_A_Ia_A_N_Ab_J_A_092_060le_062_Af_Ax_A_092_060bullet_062_Arot_A_Ia_A_N_Ab_J_092_060close_062,axiom,
    ! [X3: a] :
      ( ( member_a @ X3 @ ( elemen49976720ball_a @ x2 @ d ) )
     => ( ord_less_eq_real @ ( inner_1173012732nner_a @ ( f @ s ) @ ( poinca659159244_rot_a @ ( minus_minus_a @ a2 @ b ) ) ) @ ( inner_1173012732nner_a @ ( f @ X3 ) @ ( poinca659159244_rot_a @ ( minus_minus_a @ a2 @ b ) ) ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.E80uGwlm6y/E---3.1_19361.p',fact_5__092_060open_062_092_060forall_062x_092_060in_062cball_Ax_Ad_O_Af_As_A_092_060bullet_062_Arot_A_Ia_A_N_Ab_J_A_092_060le_062_Af_Ax_A_092_060bullet_062_Arot_A_Ia_A_N_Ab_J_092_060close_062) ).

thf(fact_8_d_I2_J,axiom,
    ! [X2: a] :
      ( ( member_a @ X2 @ ( elemen49976720ball_a @ x2 @ d ) )
     => ( ( ord_less_real @ zero_zero_real @ ( inner_1173012732nner_a @ ( f @ X2 ) @ ( poinca659159244_rot_a @ ( minus_minus_a @ a2 @ b ) ) ) )
        & ( member_a @ X2 @ x )
        & ( ( f @ X2 )
         != zero_zero_a ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.E80uGwlm6y/E---3.1_19361.p',fact_8_d_I2_J) ).

thf(fact_11__092_060open_062_092_060And_062thesis_O_A_I_092_060And_062s_O_A_092_060lbrakk_062s_A_092_060in_062_Acball_Ax_Ad_059_A_092_060forall_062x_092_060in_062cball_Ax_Ad_O_Af_As_A_092_060bullet_062_Arot_A_Ia_A_N_Ab_J_A_092_060le_062_Af_Ax_A_092_060bullet_062_Arot_A_Ia_A_N_Ab_J_092_060rbrakk_062_A_092_060Longrightarrow_062_Athesis_J_A_092_060Longrightarrow_062_Athesis_092_060close_062,axiom,
    ~ ! [X4: a] :
        ( ( member_a @ X4 @ ( elemen49976720ball_a @ x2 @ d ) )
       => ~ ! [X3: a] :
              ( ( member_a @ X3 @ ( elemen49976720ball_a @ x2 @ d ) )
             => ( ord_less_eq_real @ ( inner_1173012732nner_a @ ( f @ X4 ) @ ( poinca659159244_rot_a @ ( minus_minus_a @ a2 @ b ) ) ) @ ( inner_1173012732nner_a @ ( f @ X3 ) @ ( poinca659159244_rot_a @ ( minus_minus_a @ a2 @ b ) ) ) ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.E80uGwlm6y/E---3.1_19361.p',fact_11__092_060open_062_092_060And_062thesis_O_A_I_092_060And_062s_O_A_092_060lbrakk_062s_A_092_060in_062_Acball_Ax_Ad_059_A_092_060forall_062x_092_060in_062cball_Ax_Ad_O_Af_As_A_092_060bullet_062_Arot_A_Ia_A_N_Ab_J_A_092_060le_062_Af_Ax_A_092_060bullet_062_Arot_A_Ia_A_N_Ab_J_092_060rbrakk_062_A_092_060Longrightarrow_062_Athesis_J_A_092_060Longrightarrow_062_Athesis_092_060close_062) ).

thf(fact_1__092_060open_062s_A_092_060in_062_Acball_Ax_Ad_092_060close_062,axiom,
    member_a @ s @ ( elemen49976720ball_a @ x2 @ d ),
    file('/export/starexec/sandbox2/tmp/tmp.E80uGwlm6y/E---3.1_19361.p',fact_1__092_060open_062s_A_092_060in_062_Acball_Ax_Ad_092_060close_062) ).

thf(fact_0_d_I1_J,axiom,
    ord_less_real @ zero_zero_real @ d,
    file('/export/starexec/sandbox2/tmp/tmp.E80uGwlm6y/E---3.1_19361.p',fact_0_d_I1_J) ).

thf(c_0_8,negated_conjecture,
    ~ ? [X124: real] :
        ( ( ord_less_real @ zero_zero_real @ X124 )
        & ? [X437: real] :
            ( ( ord_less_real @ zero_zero_real @ X437 )
            & ! [X107: a] :
                ( ( member_a @ X107 @ ( elemen49976720ball_a @ x2 @ X124 ) )
               => ( ord_less_eq_real @ X437 @ ( inner_1173012732nner_a @ ( f @ X107 ) @ ( poinca659159244_rot_a @ ( minus_minus_a @ a2 @ b ) ) ) ) ) ) ),
    inference(assume_negation,[status(cth)],[conj_0]) ).

thf(c_0_9,plain,
    ! [X1132: a,X1133: a] :
      ( ( inner_1173012732nner_a @ X1132 @ X1133 )
      = ( inner_1173012732nner_a @ X1133 @ X1132 ) ),
    inference(fof_simplification,[status(thm)],[inference(fof_simplification,[status(thm)],[fact_77_inner__commute])]) ).

thf(c_0_10,plain,
    ! [X270: real,X271: real] :
      ( ( X270 = X271 )
      | ~ ( ord_less_eq_real @ X270 @ X271 )
      | ~ ( ord_less_eq_real @ X271 @ X270 ) ),
    inference(fof_simplification,[status(thm)],[fact_246_verit__la__disequality]) ).

thf(c_0_11,negated_conjecture,
    ! [X1946: real,X1947: real] :
      ( ( ( member_a @ ( esk38_2 @ X1946 @ X1947 ) @ ( elemen49976720ball_a @ x2 @ X1946 ) )
        | ~ ( ord_less_real @ zero_zero_real @ X1947 )
        | ~ ( ord_less_real @ zero_zero_real @ X1946 ) )
      & ( ~ ( ord_less_eq_real @ X1947 @ ( inner_1173012732nner_a @ ( f @ ( esk38_2 @ X1946 @ X1947 ) ) @ ( poinca659159244_rot_a @ ( minus_minus_a @ a2 @ b ) ) ) )
        | ~ ( ord_less_real @ zero_zero_real @ X1947 )
        | ~ ( ord_less_real @ zero_zero_real @ X1946 ) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_8])])])])])]) ).

thf(c_0_12,plain,
    ! [X1312: a,X1313: a] :
      ( ( inner_1173012732nner_a @ X1312 @ X1313 )
      = ( inner_1173012732nner_a @ X1313 @ X1312 ) ),
    inference(variable_rename,[status(thm)],[c_0_9]) ).

thf(c_0_13,plain,
    ! [X1180: a] :
      ( ~ ( member_a @ X1180 @ ( elemen49976720ball_a @ x2 @ d ) )
      | ( ord_less_eq_real @ ( inner_1173012732nner_a @ ( f @ s ) @ ( poinca659159244_rot_a @ ( minus_minus_a @ a2 @ b ) ) ) @ ( inner_1173012732nner_a @ ( f @ X1180 ) @ ( poinca659159244_rot_a @ ( minus_minus_a @ a2 @ b ) ) ) ) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_5__092_060open_062_092_060forall_062x_092_060in_062cball_Ax_Ad_O_Af_As_A_092_060bullet_062_Arot_A_Ia_A_N_Ab_J_A_092_060le_062_Af_Ax_A_092_060bullet_062_Arot_A_Ia_A_N_Ab_J_092_060close_062])])]) ).

thf(c_0_14,plain,
    ! [X1692: real,X1693: real] :
      ( ( X1692 = X1693 )
      | ~ ( ord_less_eq_real @ X1692 @ X1693 )
      | ~ ( ord_less_eq_real @ X1693 @ X1692 ) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_10])]) ).

thf(c_0_15,negated_conjecture,
    ! [X5: real,X7: real] :
      ( ~ ( ord_less_eq_real @ X5 @ ( inner_1173012732nner_a @ ( f @ ( esk38_2 @ X7 @ X5 ) ) @ ( poinca659159244_rot_a @ ( minus_minus_a @ a2 @ b ) ) ) )
      | ~ ( ord_less_real @ zero_zero_real @ X5 )
      | ~ ( ord_less_real @ zero_zero_real @ X7 ) ),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

thf(c_0_16,plain,
    ! [X2: a,X1: a] :
      ( ( inner_1173012732nner_a @ X1 @ X2 )
      = ( inner_1173012732nner_a @ X2 @ X1 ) ),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

thf(c_0_17,plain,
    ! [X1: a] :
      ( ( ord_less_eq_real @ ( inner_1173012732nner_a @ ( f @ s ) @ ( poinca659159244_rot_a @ ( minus_minus_a @ a2 @ b ) ) ) @ ( inner_1173012732nner_a @ ( f @ X1 ) @ ( poinca659159244_rot_a @ ( minus_minus_a @ a2 @ b ) ) ) )
      | ~ ( member_a @ X1 @ ( elemen49976720ball_a @ x2 @ d ) ) ),
    inference(split_conjunct,[status(thm)],[c_0_13]) ).

thf(c_0_18,plain,
    ! [X2: a] :
      ( ( member_a @ X2 @ ( elemen49976720ball_a @ x2 @ d ) )
     => ( ( ord_less_real @ zero_zero_real @ ( inner_1173012732nner_a @ ( f @ X2 ) @ ( poinca659159244_rot_a @ ( minus_minus_a @ a2 @ b ) ) ) )
        & ( member_a @ X2 @ x )
        & ( ( f @ X2 )
         != zero_zero_a ) ) ),
    inference(fof_simplification,[status(thm)],[fact_8_d_I2_J]) ).

thf(c_0_19,plain,
    ! [X7: real,X5: real] :
      ( ( X5 = X7 )
      | ~ ( ord_less_eq_real @ X5 @ X7 )
      | ~ ( ord_less_eq_real @ X7 @ X5 ) ),
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

thf(c_0_20,plain,
    ! [X1184: a] :
      ( ( member_a @ esk1_0 @ ( elemen49976720ball_a @ x2 @ d ) )
      & ( ~ ( member_a @ X1184 @ ( elemen49976720ball_a @ x2 @ d ) )
        | ( ord_less_eq_real @ ( inner_1173012732nner_a @ ( f @ esk1_0 ) @ ( poinca659159244_rot_a @ ( minus_minus_a @ a2 @ b ) ) ) @ ( inner_1173012732nner_a @ ( f @ X1184 ) @ ( poinca659159244_rot_a @ ( minus_minus_a @ a2 @ b ) ) ) ) ) ),
    inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_11__092_060open_062_092_060And_062thesis_O_A_I_092_060And_062s_O_A_092_060lbrakk_062s_A_092_060in_062_Acball_Ax_Ad_059_A_092_060forall_062x_092_060in_062cball_Ax_Ad_O_Af_As_A_092_060bullet_062_Arot_A_Ia_A_N_Ab_J_A_092_060le_062_Af_Ax_A_092_060bullet_062_Arot_A_Ia_A_N_Ab_J_092_060rbrakk_062_A_092_060Longrightarrow_062_Athesis_J_A_092_060Longrightarrow_062_Athesis_092_060close_062])])])])]) ).

thf(c_0_21,negated_conjecture,
    ! [X7: real,X5: real] :
      ( ~ ( ord_less_eq_real @ X5 @ ( inner_1173012732nner_a @ ( poinca659159244_rot_a @ ( minus_minus_a @ a2 @ b ) ) @ ( f @ ( esk38_2 @ X7 @ X5 ) ) ) )
      | ~ ( ord_less_real @ zero_zero_real @ X7 )
      | ~ ( ord_less_real @ zero_zero_real @ X5 ) ),
    inference(rw,[status(thm)],[c_0_15,c_0_16]) ).

thf(c_0_22,plain,
    ! [X1: a] :
      ( ( ord_less_eq_real @ ( inner_1173012732nner_a @ ( f @ s ) @ ( poinca659159244_rot_a @ ( minus_minus_a @ a2 @ b ) ) ) @ ( inner_1173012732nner_a @ ( poinca659159244_rot_a @ ( minus_minus_a @ a2 @ b ) ) @ ( f @ X1 ) ) )
      | ~ ( member_a @ X1 @ ( elemen49976720ball_a @ x2 @ d ) ) ),
    inference(spm,[status(thm)],[c_0_17,c_0_16]) ).

thf(c_0_23,plain,
    ! [X1181: a] :
      ( ( ( ord_less_real @ zero_zero_real @ ( inner_1173012732nner_a @ ( f @ X1181 ) @ ( poinca659159244_rot_a @ ( minus_minus_a @ a2 @ b ) ) ) )
        | ~ ( member_a @ X1181 @ ( elemen49976720ball_a @ x2 @ d ) ) )
      & ( ( member_a @ X1181 @ x )
        | ~ ( member_a @ X1181 @ ( elemen49976720ball_a @ x2 @ d ) ) )
      & ( ( ( f @ X1181 )
         != zero_zero_a )
        | ~ ( member_a @ X1181 @ ( elemen49976720ball_a @ x2 @ d ) ) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_18])])])]) ).

thf(c_0_24,plain,
    ! [X1: a] :
      ( ( ( inner_1173012732nner_a @ ( f @ X1 ) @ ( poinca659159244_rot_a @ ( minus_minus_a @ a2 @ b ) ) )
        = ( inner_1173012732nner_a @ ( f @ s ) @ ( poinca659159244_rot_a @ ( minus_minus_a @ a2 @ b ) ) ) )
      | ~ ( ord_less_eq_real @ ( inner_1173012732nner_a @ ( f @ X1 ) @ ( poinca659159244_rot_a @ ( minus_minus_a @ a2 @ b ) ) ) @ ( inner_1173012732nner_a @ ( f @ s ) @ ( poinca659159244_rot_a @ ( minus_minus_a @ a2 @ b ) ) ) )
      | ~ ( member_a @ X1 @ ( elemen49976720ball_a @ x2 @ d ) ) ),
    inference(spm,[status(thm)],[c_0_19,c_0_17]) ).

thf(c_0_25,plain,
    ! [X1: a] :
      ( ( ord_less_eq_real @ ( inner_1173012732nner_a @ ( f @ esk1_0 ) @ ( poinca659159244_rot_a @ ( minus_minus_a @ a2 @ b ) ) ) @ ( inner_1173012732nner_a @ ( f @ X1 ) @ ( poinca659159244_rot_a @ ( minus_minus_a @ a2 @ b ) ) ) )
      | ~ ( member_a @ X1 @ ( elemen49976720ball_a @ x2 @ d ) ) ),
    inference(split_conjunct,[status(thm)],[c_0_20]) ).

thf(c_0_26,plain,
    member_a @ esk1_0 @ ( elemen49976720ball_a @ x2 @ d ),
    inference(split_conjunct,[status(thm)],[c_0_20]) ).

thf(c_0_27,plain,
    member_a @ s @ ( elemen49976720ball_a @ x2 @ d ),
    inference(split_conjunct,[status(thm)],[fact_1__092_060open_062s_A_092_060in_062_Acball_Ax_Ad_092_060close_062]) ).

thf(c_0_28,negated_conjecture,
    ! [X5: real] :
      ( ~ ( member_a @ ( esk38_2 @ X5 @ ( inner_1173012732nner_a @ ( f @ s ) @ ( poinca659159244_rot_a @ ( minus_minus_a @ a2 @ b ) ) ) ) @ ( elemen49976720ball_a @ x2 @ d ) )
      | ~ ( ord_less_real @ zero_zero_real @ ( inner_1173012732nner_a @ ( f @ s ) @ ( poinca659159244_rot_a @ ( minus_minus_a @ a2 @ b ) ) ) )
      | ~ ( ord_less_real @ zero_zero_real @ X5 ) ),
    inference(spm,[status(thm)],[c_0_21,c_0_22]) ).

thf(c_0_29,negated_conjecture,
    ! [X7: real,X5: real] :
      ( ( member_a @ ( esk38_2 @ X5 @ X7 ) @ ( elemen49976720ball_a @ x2 @ X5 ) )
      | ~ ( ord_less_real @ zero_zero_real @ X7 )
      | ~ ( ord_less_real @ zero_zero_real @ X5 ) ),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

thf(c_0_30,plain,
    ord_less_real @ zero_zero_real @ d,
    inference(split_conjunct,[status(thm)],[fact_0_d_I1_J]) ).

thf(c_0_31,plain,
    ! [X1: a] :
      ( ( ord_less_real @ zero_zero_real @ ( inner_1173012732nner_a @ ( f @ X1 ) @ ( poinca659159244_rot_a @ ( minus_minus_a @ a2 @ b ) ) ) )
      | ~ ( member_a @ X1 @ ( elemen49976720ball_a @ x2 @ d ) ) ),
    inference(split_conjunct,[status(thm)],[c_0_23]) ).

thf(c_0_32,plain,
    ( ( inner_1173012732nner_a @ ( f @ esk1_0 ) @ ( poinca659159244_rot_a @ ( minus_minus_a @ a2 @ b ) ) )
    = ( inner_1173012732nner_a @ ( f @ s ) @ ( poinca659159244_rot_a @ ( minus_minus_a @ a2 @ b ) ) ) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_25]),c_0_26]),c_0_27])]) ).

thf(c_0_33,negated_conjecture,
    ~ ( ord_less_real @ zero_zero_real @ ( inner_1173012732nner_a @ ( f @ s ) @ ( poinca659159244_rot_a @ ( minus_minus_a @ a2 @ b ) ) ) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_29]),c_0_30])]) ).

thf(c_0_34,plain,
    ord_less_real @ zero_zero_real @ ( inner_1173012732nner_a @ ( f @ s ) @ ( poinca659159244_rot_a @ ( minus_minus_a @ a2 @ b ) ) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_32]),c_0_26])]) ).

thf(c_0_35,plain,
    $false,
    inference(cdclpropres,[status(thm)],[c_0_33,c_0_34]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.17  % Problem    : ITP149^1 : TPTP v8.1.2. Released v7.5.0.
% 0.17/0.18  % Command    : run_E %s %d THM
% 0.19/0.39  % Computer : n031.cluster.edu
% 0.19/0.39  % Model    : x86_64 x86_64
% 0.19/0.39  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.39  % Memory   : 8042.1875MB
% 0.19/0.39  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.19/0.39  % CPULimit   : 300
% 0.19/0.39  % WCLimit    : 300
% 0.19/0.39  % DateTime   : Fri May  3 12:53:17 EDT 2024
% 0.19/0.39  % CPUTime    : 
% 0.46/0.60  Running higher-order theorem proving
% 0.46/0.60  Running: /export/starexec/sandbox2/solver/bin/eprover-ho --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/tmp/tmp.E80uGwlm6y/E---3.1_19361.p
% 97.12/12.90  # Version: 3.1.0-ho
% 97.12/12.90  # Preprocessing class: HSLSSMSMSSMNHFA.
% 97.12/12.90  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 97.12/12.90  # Starting new_ho_3 with 1500s (5) cores
% 97.12/12.90  # Starting sh7 with 300s (1) cores
% 97.12/12.90  # Starting ehoh_best2_full_lfho with 300s (1) cores
% 97.12/12.90  # Starting pre_casc_7 with 300s (1) cores
% 97.12/12.90  # pre_casc_7 with pid 19468 completed with status 0
% 97.12/12.90  # Result found by pre_casc_7
% 97.12/12.90  # Preprocessing class: HSLSSMSMSSMNHFA.
% 97.12/12.90  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 97.12/12.90  # Starting new_ho_3 with 1500s (5) cores
% 97.12/12.90  # Starting sh7 with 300s (1) cores
% 97.12/12.90  # Starting ehoh_best2_full_lfho with 300s (1) cores
% 97.12/12.90  # Starting pre_casc_7 with 300s (1) cores
% 97.12/12.90  # No SInE strategy applied
% 97.12/12.90  # Search class: HGHSM-FSLM31-MHFFFFBN
% 97.12/12.90  # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 97.12/12.90  # Starting new_ho_11 with 163s (1) cores
% 97.12/12.90  # new_ho_11 with pid 19475 completed with status 0
% 97.12/12.90  # Result found by new_ho_11
% 97.12/12.90  # Preprocessing class: HSLSSMSMSSMNHFA.
% 97.12/12.90  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 97.12/12.90  # Starting new_ho_3 with 1500s (5) cores
% 97.12/12.90  # Starting sh7 with 300s (1) cores
% 97.12/12.90  # Starting ehoh_best2_full_lfho with 300s (1) cores
% 97.12/12.90  # Starting pre_casc_7 with 300s (1) cores
% 97.12/12.90  # No SInE strategy applied
% 97.12/12.90  # Search class: HGHSM-FSLM31-MHFFFFBN
% 97.12/12.90  # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 97.12/12.90  # Starting new_ho_11 with 163s (1) cores
% 97.12/12.90  # Preprocessing time       : 0.008 s
% 97.12/12.90  # Presaturation interreduction done
% 97.12/12.90  # SatCheck found unsatisfiable ground set
% 97.12/12.90  
% 97.12/12.90  # Proof found!
% 97.12/12.90  # SZS status Theorem
% 97.12/12.90  # SZS output start CNFRefutation
% See solution above
% 97.12/12.90  # Parsed axioms                        : 424
% 97.12/12.90  # Removed by relevancy pruning/SinE    : 0
% 97.12/12.90  # Initial clauses                      : 687
% 97.12/12.90  # Removed in clause preprocessing      : 86
% 97.12/12.90  # Initial clauses in saturation        : 601
% 97.12/12.90  # Processed clauses                    : 15908
% 97.12/12.90  # ...of these trivial                  : 153
% 97.12/12.90  # ...subsumed                          : 10755
% 97.12/12.90  # ...remaining for further processing  : 5000
% 97.12/12.90  # Other redundant clauses eliminated   : 962
% 97.12/12.90  # Clauses deleted for lack of memory   : 0
% 97.12/12.90  # Backward-subsumed                    : 34
% 97.12/12.90  # Backward-rewritten                   : 84
% 97.12/12.90  # Generated clauses                    : 411461
% 97.12/12.90  # ...of the previous two non-redundant : 385957
% 97.12/12.90  # ...aggressively subsumed             : 0
% 97.12/12.90  # Contextual simplify-reflections      : 23
% 97.12/12.90  # Paramodulations                      : 410323
% 97.12/12.90  # Factorizations                       : 130
% 97.12/12.90  # NegExts                              : 0
% 97.12/12.90  # Equation resolutions                 : 1002
% 97.12/12.90  # Disequality decompositions           : 0
% 97.12/12.90  # Total rewrite steps                  : 270876
% 97.12/12.90  # ...of those cached                   : 266045
% 97.12/12.90  # Propositional unsat checks           : 1
% 97.12/12.90  #    Propositional check models        : 0
% 97.12/12.90  #    Propositional check unsatisfiable : 1
% 97.12/12.90  #    Propositional clauses             : 375296
% 97.12/12.90  #    Propositional clauses after purity: 133123
% 97.12/12.90  #    Propositional unsat core size     : 2
% 97.12/12.90  #    Propositional preprocessing time  : 0.000
% 97.12/12.90  #    Propositional encoding time       : 1.239
% 97.12/12.90  #    Propositional solver time         : 0.068
% 97.12/12.90  #    Success case prop preproc time    : 0.000
% 97.12/12.90  #    Success case prop encoding time   : 1.239
% 97.12/12.90  #    Success case prop solver time     : 0.068
% 97.12/12.90  # Current number of processed clauses  : 4397
% 97.12/12.90  #    Positive orientable unit clauses  : 217
% 97.12/12.90  #    Positive unorientable unit clauses: 15
% 97.12/12.90  #    Negative unit clauses             : 113
% 97.12/12.90  #    Non-unit-clauses                  : 4052
% 97.12/12.90  # Current number of unprocessed clauses: 370899
% 97.12/12.90  # ...number of literals in the above   : 1366113
% 97.12/12.90  # Current number of archived formulas  : 0
% 97.12/12.90  # Current number of archived clauses   : 549
% 97.12/12.90  # Clause-clause subsumption calls (NU) : 3360469
% 97.12/12.90  # Rec. Clause-clause subsumption calls : 1833238
% 97.12/12.90  # Non-unit clause-clause subsumptions  : 6784
% 97.12/12.90  # Unit Clause-clause subsumption calls : 74413
% 97.12/12.90  # Rewrite failures with RHS unbound    : 0
% 97.12/12.90  # BW rewrite match attempts            : 853
% 97.12/12.90  # BW rewrite match successes           : 213
% 97.12/12.90  # Condensation attempts                : 0
% 97.12/12.90  # Condensation successes               : 0
% 97.12/12.90  # Termbank termtop insertions          : 19842658
% 97.12/12.90  # Search garbage collected termcells   : 10725
% 97.12/12.90  
% 97.12/12.90  # -------------------------------------------------
% 97.12/12.90  # User time                : 11.762 s
% 97.12/12.90  # System time              : 0.294 s
% 97.12/12.90  # Total time               : 12.056 s
% 97.12/12.90  # Maximum resident set size: 4532 pages
% 97.12/12.90  
% 97.12/12.90  # -------------------------------------------------
% 97.12/12.90  # User time                : 11.775 s
% 97.12/12.90  # System time              : 0.297 s
% 97.12/12.90  # Total time               : 12.072 s
% 97.12/12.90  # Maximum resident set size: 2452 pages
% 97.12/12.90  % E---3.1 exiting
% 97.12/12.90  % E exiting
%------------------------------------------------------------------------------