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

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1.00
% Problem  : ITP149^1 : TPTP v8.2.0. Released v7.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n002.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 : Mon May 20 22:16:33 EDT 2024

% Result   : Theorem 82.66s 10.98s
% Output   : CNFRefutation 82.66s
% 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_2: real > real > a ).

thf(decl_96,type,
    esk11_0: 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/sandbox/benchmark/theBenchmark.p',conj_0) ).

thf(fact_77_inner__commute,axiom,
    ( inner_1173012732nner_a
    = ( ^ [X29: a,X56: a] : ( inner_1173012732nner_a @ X56 @ X29 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.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/sandbox/benchmark/theBenchmark.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/sandbox/benchmark/theBenchmark.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/sandbox/benchmark/theBenchmark.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/sandbox/benchmark/theBenchmark.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/sandbox/benchmark/theBenchmark.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/sandbox/benchmark/theBenchmark.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,
    ! [X1056: a,X1057: a] :
      ( ( inner_1173012732nner_a @ X1056 @ X1057 )
      = ( inner_1173012732nner_a @ X1057 @ X1056 ) ),
    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,
    ! [X1098: real,X1099: real] :
      ( ( ( member_a @ ( esk1_2 @ X1098 @ X1099 ) @ ( elemen49976720ball_a @ x2 @ X1098 ) )
        | ~ ( ord_less_real @ zero_zero_real @ X1099 )
        | ~ ( ord_less_real @ zero_zero_real @ X1098 ) )
      & ( ~ ( ord_less_eq_real @ X1099 @ ( inner_1173012732nner_a @ ( f @ ( esk1_2 @ X1098 @ X1099 ) ) @ ( poinca659159244_rot_a @ ( minus_minus_a @ a2 @ b ) ) ) )
        | ~ ( ord_less_real @ zero_zero_real @ X1099 )
        | ~ ( ord_less_real @ zero_zero_real @ X1098 ) ) ),
    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,
    ! [X1256: a,X1257: a] :
      ( ( inner_1173012732nner_a @ X1256 @ X1257 )
      = ( inner_1173012732nner_a @ X1257 @ X1256 ) ),
    inference(variable_rename,[status(thm)],[c_0_9]) ).

thf(c_0_13,plain,
    ! [X1401: a] :
      ( ~ ( member_a @ X1401 @ ( 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 @ X1401 ) @ ( 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,
    ! [X1189: real,X1190: real] :
      ( ( X1189 = X1190 )
      | ~ ( ord_less_eq_real @ X1189 @ X1190 )
      | ~ ( ord_less_eq_real @ X1190 @ X1189 ) ),
    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 @ ( esk1_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,
    ! [X1335: a] :
      ( ( member_a @ esk11_0 @ ( elemen49976720ball_a @ x2 @ d ) )
      & ( ~ ( member_a @ X1335 @ ( elemen49976720ball_a @ x2 @ d ) )
        | ( ord_less_eq_real @ ( inner_1173012732nner_a @ ( f @ esk11_0 ) @ ( poinca659159244_rot_a @ ( minus_minus_a @ a2 @ b ) ) ) @ ( inner_1173012732nner_a @ ( f @ X1335 ) @ ( 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 @ ( esk1_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,
    ! [X1333: a] :
      ( ( ( ord_less_real @ zero_zero_real @ ( inner_1173012732nner_a @ ( f @ X1333 ) @ ( poinca659159244_rot_a @ ( minus_minus_a @ a2 @ b ) ) ) )
        | ~ ( member_a @ X1333 @ ( elemen49976720ball_a @ x2 @ d ) ) )
      & ( ( member_a @ X1333 @ x )
        | ~ ( member_a @ X1333 @ ( elemen49976720ball_a @ x2 @ d ) ) )
      & ( ( ( f @ X1333 )
         != zero_zero_a )
        | ~ ( member_a @ X1333 @ ( 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 @ esk11_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 @ esk11_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 @ ( esk1_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 @ ( esk1_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 @ esk11_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
% 0.13/0.13  % Problem    : ITP149^1 : TPTP v8.2.0. Released v7.5.0.
% 0.13/0.14  % Command    : run_E %s %d THM
% 0.15/0.36  % Computer : n002.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit   : 300
% 0.15/0.36  % WCLimit    : 300
% 0.15/0.36  % DateTime   : Sat May 18 16:17:53 EDT 2024
% 0.15/0.36  % CPUTime    : 
% 0.22/0.52  Running higher-order theorem proving
% 0.22/0.52  Running: /export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p
% 82.66/10.98  # Version: 3.1.0-ho
% 82.66/10.98  # Preprocessing class: HSLSSMSMSSMNHFA.
% 82.66/10.98  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 82.66/10.98  # Starting new_ho_3 with 1500s (5) cores
% 82.66/10.98  # Starting sh7 with 300s (1) cores
% 82.66/10.98  # Starting ehoh_best2_full_lfho with 300s (1) cores
% 82.66/10.98  # Starting pre_casc_7 with 300s (1) cores
% 82.66/10.98  # new_ho_3 with pid 14198 completed with status 0
% 82.66/10.98  # Result found by new_ho_3
% 82.66/10.98  # Preprocessing class: HSLSSMSMSSMNHFA.
% 82.66/10.98  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 82.66/10.98  # Starting new_ho_3 with 1500s (5) cores
% 82.66/10.98  # SinE strategy is GSinE(CountFormulas,hypos,5,,4,20000,1.0,true)
% 82.66/10.98  # Search class: HGHSM-FSLM31-MHFFFFBN
% 82.66/10.98  # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 82.66/10.98  # Starting new_ho_11 with 811s (1) cores
% 82.66/10.98  # Starting new_ho_3 with 151s (1) cores
% 82.66/10.98  # Starting almost_fo_3 with 136s (1) cores
% 82.66/10.98  # Starting ehoh_best4_fo with 136s (1) cores
% 82.66/10.98  # Starting lpo4_lambdas_fix with 136s (1) cores
% 82.66/10.98  # new_ho_11 with pid 14202 completed with status 0
% 82.66/10.98  # Result found by new_ho_11
% 82.66/10.98  # Preprocessing class: HSLSSMSMSSMNHFA.
% 82.66/10.98  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 82.66/10.98  # Starting new_ho_3 with 1500s (5) cores
% 82.66/10.98  # SinE strategy is GSinE(CountFormulas,hypos,5,,4,20000,1.0,true)
% 82.66/10.98  # Search class: HGHSM-FSLM31-MHFFFFBN
% 82.66/10.98  # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 82.66/10.98  # Starting new_ho_11 with 811s (1) cores
% 82.66/10.98  # Preprocessing time       : 0.007 s
% 82.66/10.98  # Presaturation interreduction done
% 82.66/10.98  # SatCheck found unsatisfiable ground set
% 82.66/10.98  
% 82.66/10.98  # Proof found!
% 82.66/10.98  # SZS status Theorem
% 82.66/10.98  # SZS output start CNFRefutation
% See solution above
% 82.66/10.98  # Parsed axioms                        : 424
% 82.66/10.98  # Removed by relevancy pruning/SinE    : 102
% 82.66/10.98  # Initial clauses                      : 530
% 82.66/10.98  # Removed in clause preprocessing      : 13
% 82.66/10.98  # Initial clauses in saturation        : 517
% 82.66/10.98  # Processed clauses                    : 17881
% 82.66/10.98  # ...of these trivial                  : 171
% 82.66/10.98  # ...subsumed                          : 12710
% 82.66/10.98  # ...remaining for further processing  : 5000
% 82.66/10.98  # Other redundant clauses eliminated   : 1223
% 82.66/10.98  # Clauses deleted for lack of memory   : 0
% 82.66/10.98  # Backward-subsumed                    : 55
% 82.66/10.98  # Backward-rewritten                   : 87
% 82.66/10.98  # Generated clauses                    : 486920
% 82.66/10.98  # ...of the previous two non-redundant : 455515
% 82.66/10.98  # ...aggressively subsumed             : 0
% 82.66/10.98  # Contextual simplify-reflections      : 10
% 82.66/10.98  # Paramodulations                      : 485600
% 82.66/10.98  # Factorizations                       : 60
% 82.66/10.98  # NegExts                              : 0
% 82.66/10.98  # Equation resolutions                 : 1254
% 82.66/10.98  # Disequality decompositions           : 0
% 82.66/10.98  # Total rewrite steps                  : 338746
% 82.66/10.98  # ...of those cached                   : 332916
% 82.66/10.98  # Propositional unsat checks           : 1
% 82.66/10.98  #    Propositional check models        : 0
% 82.66/10.98  #    Propositional check unsatisfiable : 1
% 82.66/10.98  #    Propositional clauses             : 442751
% 82.66/10.98  #    Propositional clauses after purity: 202956
% 82.66/10.98  #    Propositional unsat core size     : 2
% 82.66/10.98  #    Propositional preprocessing time  : 0.000
% 82.66/10.98  #    Propositional encoding time       : 1.331
% 82.66/10.98  #    Propositional solver time         : 0.103
% 82.66/10.98  #    Success case prop preproc time    : 0.000
% 82.66/10.98  #    Success case prop encoding time   : 1.331
% 82.66/10.98  #    Success case prop solver time     : 0.103
% 82.66/10.98  # Current number of processed clauses  : 4453
% 82.66/10.98  #    Positive orientable unit clauses  : 186
% 82.66/10.98  #    Positive unorientable unit clauses: 14
% 82.66/10.98  #    Negative unit clauses             : 117
% 82.66/10.98  #    Non-unit-clauses                  : 4136
% 82.66/10.98  # Current number of unprocessed clauses: 438298
% 82.66/10.98  # ...number of literals in the above   : 1577690
% 82.66/10.98  # Current number of archived formulas  : 0
% 82.66/10.98  # Current number of archived clauses   : 493
% 82.66/10.98  # Clause-clause subsumption calls (NU) : 2180334
% 82.66/10.98  # Rec. Clause-clause subsumption calls : 1264946
% 82.66/10.98  # Non-unit clause-clause subsumptions  : 8533
% 82.66/10.98  # Unit Clause-clause subsumption calls : 51030
% 82.66/10.98  # Rewrite failures with RHS unbound    : 0
% 82.66/10.98  # BW rewrite match attempts            : 619
% 82.66/10.98  # BW rewrite match successes           : 206
% 82.66/10.98  # Condensation attempts                : 0
% 82.66/10.98  # Condensation successes               : 0
% 82.66/10.98  # Termbank termtop insertions          : 22456453
% 82.66/10.98  # Search garbage collected termcells   : 9502
% 82.66/10.98  
% 82.66/10.98  # -------------------------------------------------
% 82.66/10.98  # User time                : 9.550 s
% 82.66/10.98  # System time              : 0.337 s
% 82.66/10.98  # Total time               : 9.887 s
% 82.66/10.98  # Maximum resident set size: 4276 pages
% 82.66/10.98  
% 82.66/10.98  # -------------------------------------------------
% 82.66/10.98  # User time                : 49.679 s
% 82.66/10.98  # System time              : 1.400 s
% 82.66/10.98  # Total time               : 51.079 s
% 82.66/10.98  # Maximum resident set size: 2448 pages
% 82.66/10.98  % E---3.1 exiting
% 82.66/10.98  % E exiting
%------------------------------------------------------------------------------