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E-SAT---3.5.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : E-SAT---3.5.1
% Problem  : ITP129^1 : TPTP v9.3.1. Released v7.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n019.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Wed Sep 30 08:05:36 AM UTC 2026

% Result   : Theorem 195.45s 29.84s
% Output   : CNFRefutation 195.45s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :   15
% Syntax   : Number of formulae    :   61 (  45 unt;   0 typ;   0 def)
%            Number of atoms       :   79 (  78 equ;   0 cnn)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :  388 (  27   ~;  12   |;   1   &; 343   @)
%                                         (   1 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   3 avg)
%            Number of types       :    2 (   2 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   14 (  12 usr;   7 con; 0-2 aty)
%            Number of variables   :   53 (   0   ^;  53   !;   0   ?;  53   :)

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

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

thf(decl_25,type,
    one_one_int: int ).

thf(decl_26,type,
    one_one_nat: nat ).

thf(decl_27,type,
    plus_plus_int: int > int > int ).

thf(decl_29,type,
    times_times_int: int > int > int ).

thf(decl_31,type,
    zero_zero_int: int ).

thf(decl_32,type,
    zero_zero_nat: nat ).

thf(decl_38,type,
    suc: nat > nat ).

thf(decl_39,type,
    semiri2019852685at_int: nat > int ).

thf(decl_42,type,
    power_power_int: int > nat > int ).

thf(decl_44,type,
    divide_divide_int: int > int > int ).

thf(decl_48,type,
    pm: nat ).

thf(decl_49,type,
    x: int ).

thf(conj_0,conjecture,
    ( ( divide_divide_int @ ( plus_plus_int @ ( divide_divide_int @ ( power_power_int @ x @ ( suc @ pm ) ) @ ( power_power_int @ x @ pm ) ) @ ( times_times_int @ x @ ( semiri2019852685at_int @ pm ) ) ) @ ( semiri2019852685at_int @ ( suc @ pm ) ) )
    = x ),
    file('/export/starexec/sandbox2/tmp/tmp.ld5o2sIRbt/E---3.1_1273425.p',conj_0) ).

thf(fact_124_of__nat__Suc,axiom,
    ! [X1: nat] :
      ( ( semiri2019852685at_int @ ( suc @ X1 ) )
      = ( plus_plus_int @ one_one_int @ ( semiri2019852685at_int @ X1 ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.ld5o2sIRbt/E---3.1_1273425.p',fact_124_of__nat__Suc) ).

thf(fact_122_of__nat__1,axiom,
    ( ( semiri2019852685at_int @ one_one_nat )
    = one_one_int ),
    file('/export/starexec/sandbox2/tmp/tmp.ld5o2sIRbt/E---3.1_1273425.p',fact_122_of__nat__1) ).

thf(fact_239_One__nat__def,axiom,
    ( one_one_nat
    = ( suc @ zero_zero_nat ) ),
    file('/export/starexec/sandbox2/tmp/tmp.ld5o2sIRbt/E---3.1_1273425.p',fact_239_One__nat__def) ).

thf(fact_13_power__Suc,axiom,
    ! [X6: int,X2: nat] :
      ( ( power_power_int @ X6 @ ( suc @ X2 ) )
      = ( times_times_int @ X6 @ ( power_power_int @ X6 @ X2 ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.ld5o2sIRbt/E---3.1_1273425.p',fact_13_power__Suc) ).

thf(fact_223_nonzero__mult__div__cancel__right,axiom,
    ! [X201: int,X6: int] :
      ( ( X201 != zero_zero_int )
     => ( ( divide_divide_int @ ( times_times_int @ X6 @ X201 ) @ X201 )
        = X6 ) ),
    file('/export/starexec/sandbox2/tmp/tmp.ld5o2sIRbt/E---3.1_1273425.p',fact_223_nonzero__mult__div__cancel__right) ).

thf(fact_109__092_060open_062_092_060And_062n_O_Ax_A_L_Ax_A_K_An_A_061_Ax_A_K_A_I1_A_L_An_J_092_060close_062,axiom,
    ! [X126: int] :
      ( ( plus_plus_int @ x @ ( times_times_int @ x @ X126 ) )
      = ( times_times_int @ x @ ( plus_plus_int @ one_one_int @ X126 ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.ld5o2sIRbt/E---3.1_1273425.p',fact_109__092_060open_062_092_060And_062n_O_Ax_A_L_Ax_A_K_An_A_061_Ax_A_K_A_I1_A_L_An_J_092_060close_062) ).

thf(fact_267_power__not__zero,axiom,
    ! [X6: int,X2: nat] :
      ( ( X6 != zero_zero_int )
     => ( ( power_power_int @ X6 @ X2 )
       != zero_zero_int ) ),
    file('/export/starexec/sandbox2/tmp/tmp.ld5o2sIRbt/E---3.1_1273425.p',fact_267_power__not__zero) ).

thf(fact_271_nat_Odistinct_I1_J,axiom,
    ! [X11: nat] :
      ( zero_zero_nat
     != ( suc @ X11 ) ),
    file('/export/starexec/sandbox2/tmp/tmp.ld5o2sIRbt/E---3.1_1273425.p',fact_271_nat_Odistinct_I1_J) ).

thf(fact_158_mult__zero__right,axiom,
    ! [X6: int] :
      ( ( times_times_int @ X6 @ zero_zero_int )
      = zero_zero_int ),
    file('/export/starexec/sandbox2/tmp/tmp.ld5o2sIRbt/E---3.1_1273425.p',fact_158_mult__zero__right) ).

thf(fact_178_bits__div__by__0,axiom,
    ! [X6: int] :
      ( ( divide_divide_int @ X6 @ zero_zero_int )
      = zero_zero_int ),
    file('/export/starexec/sandbox2/tmp/tmp.ld5o2sIRbt/E---3.1_1273425.p',fact_178_bits__div__by__0) ).

thf(fact_163_add_Oleft__neutral,axiom,
    ! [X6: int] :
      ( ( plus_plus_int @ zero_zero_int @ X6 )
      = X6 ),
    file('/export/starexec/sandbox2/tmp/tmp.ld5o2sIRbt/E---3.1_1273425.p',fact_163_add_Oleft__neutral) ).

thf(fact_190_of__nat__eq__0__iff,axiom,
    ! [X1: nat] :
      ( ( ( semiri2019852685at_int @ X1 )
        = zero_zero_int )
    <=> ( X1 = zero_zero_nat ) ),
    file('/export/starexec/sandbox2/tmp/tmp.ld5o2sIRbt/E---3.1_1273425.p',fact_190_of__nat__eq__0__iff) ).

thf(fact_160_mult__zero__left,axiom,
    ! [X6: int] :
      ( ( times_times_int @ zero_zero_int @ X6 )
      = zero_zero_int ),
    file('/export/starexec/sandbox2/tmp/tmp.ld5o2sIRbt/E---3.1_1273425.p',fact_160_mult__zero__left) ).

thf(fact_180_bits__div__0,axiom,
    ! [X6: int] :
      ( ( divide_divide_int @ zero_zero_int @ X6 )
      = zero_zero_int ),
    file('/export/starexec/sandbox2/tmp/tmp.ld5o2sIRbt/E---3.1_1273425.p',fact_180_bits__div__0) ).

thf(c_0_15,negated_conjecture,
    ( ( divide_divide_int @ ( plus_plus_int @ ( divide_divide_int @ ( power_power_int @ x @ ( suc @ pm ) ) @ ( power_power_int @ x @ pm ) ) @ ( times_times_int @ x @ ( semiri2019852685at_int @ pm ) ) ) @ ( semiri2019852685at_int @ ( suc @ pm ) ) )
   != x ),
    inference(assume_negation,[status(cth)],[conj_0]) ).

thf(c_0_16,negated_conjecture,
    ( ( divide_divide_int @ ( plus_plus_int @ ( divide_divide_int @ ( power_power_int @ x @ ( suc @ pm ) ) @ ( power_power_int @ x @ pm ) ) @ ( times_times_int @ x @ ( semiri2019852685at_int @ pm ) ) ) @ ( semiri2019852685at_int @ ( suc @ pm ) ) )
   != x ),
    inference(fof_simplification,[status(thm)],[c_0_15]) ).

thf(c_0_17,plain,
    ! [X1177: nat] :
      ( ( semiri2019852685at_int @ ( suc @ X1177 ) )
      = ( plus_plus_int @ one_one_int @ ( semiri2019852685at_int @ X1177 ) ) ),
    inference(variable_rename,[status(thm)],[fact_124_of__nat__Suc]) ).

thf(c_0_18,plain,
    ( ( semiri2019852685at_int @ one_one_nat )
    = one_one_int ),
    inference(split_conjunct,[status(thm)],[fact_122_of__nat__1]) ).

thf(c_0_19,plain,
    ( one_one_nat
    = ( suc @ zero_zero_nat ) ),
    inference(split_conjunct,[status(thm)],[fact_239_One__nat__def]) ).

thf(c_0_20,negated_conjecture,
    ( ( divide_divide_int @ ( plus_plus_int @ ( divide_divide_int @ ( power_power_int @ x @ ( suc @ pm ) ) @ ( power_power_int @ x @ pm ) ) @ ( times_times_int @ x @ ( semiri2019852685at_int @ pm ) ) ) @ ( semiri2019852685at_int @ ( suc @ pm ) ) )
   != x ),
    inference(fof_nnf,[status(thm)],[c_0_16]) ).

thf(c_0_21,plain,
    ! [X1: nat] :
      ( ( semiri2019852685at_int @ ( suc @ X1 ) )
      = ( plus_plus_int @ one_one_int @ ( semiri2019852685at_int @ X1 ) ) ),
    inference(split_conjunct,[status(thm)],[c_0_17]) ).

thf(c_0_22,plain,
    ( one_one_int
    = ( semiri2019852685at_int @ ( suc @ zero_zero_nat ) ) ),
    inference(rw,[status(thm)],[c_0_18,c_0_19]) ).

thf(c_0_23,negated_conjecture,
    ( ( divide_divide_int @ ( plus_plus_int @ ( divide_divide_int @ ( power_power_int @ x @ ( suc @ pm ) ) @ ( power_power_int @ x @ pm ) ) @ ( times_times_int @ x @ ( semiri2019852685at_int @ pm ) ) ) @ ( semiri2019852685at_int @ ( suc @ pm ) ) )
   != x ),
    inference(split_conjunct,[status(thm)],[c_0_20]) ).

thf(c_0_24,plain,
    ! [X1: nat] :
      ( ( semiri2019852685at_int @ ( suc @ X1 ) )
      = ( plus_plus_int @ ( semiri2019852685at_int @ ( suc @ zero_zero_nat ) ) @ ( semiri2019852685at_int @ X1 ) ) ),
    inference(rw,[status(thm)],[c_0_21,c_0_22]) ).

thf(c_0_25,plain,
    ! [X916: int,X917: nat] :
      ( ( power_power_int @ X916 @ ( suc @ X917 ) )
      = ( times_times_int @ X916 @ ( power_power_int @ X916 @ X917 ) ) ),
    inference(variable_rename,[status(thm)],[fact_13_power__Suc]) ).

thf(c_0_26,plain,
    ! [X201: int,X6: int] :
      ( ( X201 != zero_zero_int )
     => ( ( divide_divide_int @ ( times_times_int @ X6 @ X201 ) @ X201 )
        = X6 ) ),
    inference(fof_simplification,[status(thm)],[fact_223_nonzero__mult__div__cancel__right]) ).

thf(c_0_27,plain,
    ! [X1164: int] :
      ( ( plus_plus_int @ x @ ( times_times_int @ x @ X1164 ) )
      = ( times_times_int @ x @ ( plus_plus_int @ one_one_int @ X1164 ) ) ),
    inference(variable_rename,[status(thm)],[fact_109__092_060open_062_092_060And_062n_O_Ax_A_L_Ax_A_K_An_A_061_Ax_A_K_A_I1_A_L_An_J_092_060close_062]) ).

thf(c_0_28,plain,
    ! [X6: int,X2: nat] :
      ( ( X6 != zero_zero_int )
     => ( ( power_power_int @ X6 @ X2 )
       != zero_zero_int ) ),
    inference(fof_simplification,[status(thm)],[fact_267_power__not__zero]) ).

thf(c_0_29,negated_conjecture,
    ( ( divide_divide_int @ ( plus_plus_int @ ( divide_divide_int @ ( power_power_int @ x @ ( suc @ pm ) ) @ ( power_power_int @ x @ pm ) ) @ ( times_times_int @ x @ ( semiri2019852685at_int @ pm ) ) ) @ ( plus_plus_int @ ( semiri2019852685at_int @ ( suc @ zero_zero_nat ) ) @ ( semiri2019852685at_int @ pm ) ) )
   != x ),
    inference(rw,[status(thm)],[c_0_23,c_0_24]) ).

thf(c_0_30,plain,
    ! [X6: int,X1: nat] :
      ( ( power_power_int @ X6 @ ( suc @ X1 ) )
      = ( times_times_int @ X6 @ ( power_power_int @ X6 @ X1 ) ) ),
    inference(split_conjunct,[status(thm)],[c_0_25]) ).

thf(c_0_31,plain,
    ! [X1362: int,X1363: int] :
      ( ( X1362 = zero_zero_int )
      | ( ( divide_divide_int @ ( times_times_int @ X1363 @ X1362 ) @ X1362 )
        = X1363 ) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_26])]) ).

thf(c_0_32,plain,
    ! [X6: int] :
      ( ( plus_plus_int @ x @ ( times_times_int @ x @ X6 ) )
      = ( times_times_int @ x @ ( plus_plus_int @ one_one_int @ X6 ) ) ),
    inference(split_conjunct,[status(thm)],[c_0_27]) ).

thf(c_0_33,plain,
    ! [X1437: int,X1438: nat] :
      ( ( X1437 = zero_zero_int )
      | ( ( power_power_int @ X1437 @ X1438 )
       != zero_zero_int ) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_28])])]) ).

thf(c_0_34,negated_conjecture,
    ( ( divide_divide_int @ ( plus_plus_int @ ( divide_divide_int @ ( times_times_int @ x @ ( power_power_int @ x @ pm ) ) @ ( power_power_int @ x @ pm ) ) @ ( times_times_int @ x @ ( semiri2019852685at_int @ pm ) ) ) @ ( plus_plus_int @ ( semiri2019852685at_int @ ( suc @ zero_zero_nat ) ) @ ( semiri2019852685at_int @ pm ) ) )
   != x ),
    inference(rw,[status(thm)],[c_0_29,c_0_30]) ).

thf(c_0_35,plain,
    ! [X6: int,X20: int] :
      ( ( X6 = zero_zero_int )
      | ( ( divide_divide_int @ ( times_times_int @ X20 @ X6 ) @ X6 )
        = X20 ) ),
    inference(split_conjunct,[status(thm)],[c_0_31]) ).

thf(c_0_36,plain,
    ! [X6: int] :
      ( ( plus_plus_int @ x @ ( times_times_int @ x @ X6 ) )
      = ( times_times_int @ x @ ( plus_plus_int @ ( semiri2019852685at_int @ ( suc @ zero_zero_nat ) ) @ X6 ) ) ),
    inference(rw,[status(thm)],[c_0_32,c_0_22]) ).

thf(c_0_37,plain,
    ! [X11: nat] :
      ( zero_zero_nat
     != ( suc @ X11 ) ),
    inference(fof_simplification,[status(thm)],[fact_271_nat_Odistinct_I1_J]) ).

thf(c_0_38,plain,
    ! [X1263: int] :
      ( ( times_times_int @ X1263 @ zero_zero_int )
      = zero_zero_int ),
    inference(variable_rename,[status(thm)],[fact_158_mult__zero__right]) ).

thf(c_0_39,plain,
    ! [X1293: int] :
      ( ( divide_divide_int @ X1293 @ zero_zero_int )
      = zero_zero_int ),
    inference(variable_rename,[status(thm)],[fact_178_bits__div__by__0]) ).

thf(c_0_40,plain,
    ! [X1268: int] :
      ( ( plus_plus_int @ zero_zero_int @ X1268 )
      = X1268 ),
    inference(variable_rename,[status(thm)],[fact_163_add_Oleft__neutral]) ).

thf(c_0_41,plain,
    ! [X6: int,X1: nat] :
      ( ( X6 = zero_zero_int )
      | ( ( power_power_int @ X6 @ X1 )
       != zero_zero_int ) ),
    inference(split_conjunct,[status(thm)],[c_0_33]) ).

thf(c_0_42,negated_conjecture,
    ( ( ( power_power_int @ x @ pm )
      = zero_zero_int )
    | ( ( divide_divide_int @ ( times_times_int @ x @ ( plus_plus_int @ ( semiri2019852685at_int @ ( suc @ zero_zero_nat ) ) @ ( semiri2019852685at_int @ pm ) ) ) @ ( plus_plus_int @ ( semiri2019852685at_int @ ( suc @ zero_zero_nat ) ) @ ( semiri2019852685at_int @ pm ) ) )
     != x ) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_35]),c_0_36]) ).

thf(c_0_43,plain,
    ! [X1303: nat] :
      ( ( ( ( semiri2019852685at_int @ X1303 )
         != zero_zero_int )
        | ( X1303 = zero_zero_nat ) )
      & ( ( X1303 != zero_zero_nat )
        | ( ( semiri2019852685at_int @ X1303 )
          = zero_zero_int ) ) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_190_of__nat__eq__0__iff])])]) ).

thf(c_0_44,plain,
    ! [X1443: nat] :
      ( zero_zero_nat
     != ( suc @ X1443 ) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_37])]) ).

thf(c_0_45,plain,
    ! [X6: int] :
      ( ( times_times_int @ X6 @ zero_zero_int )
      = zero_zero_int ),
    inference(split_conjunct,[status(thm)],[c_0_38]) ).

thf(c_0_46,plain,
    ! [X6: int] :
      ( ( divide_divide_int @ X6 @ zero_zero_int )
      = zero_zero_int ),
    inference(split_conjunct,[status(thm)],[c_0_39]) ).

thf(c_0_47,plain,
    ! [X6: int] :
      ( ( plus_plus_int @ zero_zero_int @ X6 )
      = X6 ),
    inference(split_conjunct,[status(thm)],[c_0_40]) ).

thf(c_0_48,negated_conjecture,
    ( ( x = zero_zero_int )
    | ( ( divide_divide_int @ ( times_times_int @ x @ ( plus_plus_int @ ( semiri2019852685at_int @ ( suc @ zero_zero_nat ) ) @ ( semiri2019852685at_int @ pm ) ) ) @ ( plus_plus_int @ ( semiri2019852685at_int @ ( suc @ zero_zero_nat ) ) @ ( semiri2019852685at_int @ pm ) ) )
     != x ) ),
    inference(spm,[status(thm)],[c_0_41,c_0_42]) ).

thf(c_0_49,plain,
    ! [X1: nat] :
      ( ( X1 = zero_zero_nat )
      | ( ( semiri2019852685at_int @ X1 )
       != zero_zero_int ) ),
    inference(split_conjunct,[status(thm)],[c_0_43]) ).

thf(c_0_50,plain,
    ! [X1: nat] :
      ( zero_zero_nat
     != ( suc @ X1 ) ),
    inference(split_conjunct,[status(thm)],[c_0_44]) ).

thf(c_0_51,negated_conjecture,
    ( ( ( divide_divide_int @ ( times_times_int @ x @ ( plus_plus_int @ ( semiri2019852685at_int @ ( suc @ zero_zero_nat ) ) @ ( semiri2019852685at_int @ pm ) ) ) @ ( plus_plus_int @ ( semiri2019852685at_int @ ( suc @ zero_zero_nat ) ) @ ( semiri2019852685at_int @ pm ) ) )
     != x )
    | ( ( divide_divide_int @ ( times_times_int @ x @ ( semiri2019852685at_int @ pm ) ) @ ( plus_plus_int @ ( semiri2019852685at_int @ ( suc @ zero_zero_nat ) ) @ ( semiri2019852685at_int @ pm ) ) )
     != x ) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_42]),c_0_45]),c_0_46]),c_0_47]) ).

thf(c_0_52,negated_conjecture,
    ( ( ( plus_plus_int @ ( semiri2019852685at_int @ ( suc @ zero_zero_nat ) ) @ ( semiri2019852685at_int @ pm ) )
      = zero_zero_int )
    | ( x = zero_zero_int ) ),
    inference(spm,[status(thm)],[c_0_48,c_0_35]) ).

thf(c_0_53,plain,
    ! [X1: nat] :
      ( ( plus_plus_int @ ( semiri2019852685at_int @ ( suc @ zero_zero_nat ) ) @ ( semiri2019852685at_int @ X1 ) )
     != zero_zero_int ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_24]),c_0_50]) ).

thf(c_0_54,plain,
    ! [X1265: int] :
      ( ( times_times_int @ zero_zero_int @ X1265 )
      = zero_zero_int ),
    inference(variable_rename,[status(thm)],[fact_160_mult__zero__left]) ).

thf(c_0_55,plain,
    ! [X1295: int] :
      ( ( divide_divide_int @ zero_zero_int @ X1295 )
      = zero_zero_int ),
    inference(variable_rename,[status(thm)],[fact_180_bits__div__0]) ).

thf(c_0_56,negated_conjecture,
    ( ( ( plus_plus_int @ ( semiri2019852685at_int @ ( suc @ zero_zero_nat ) ) @ ( semiri2019852685at_int @ pm ) )
      = zero_zero_int )
    | ( ( divide_divide_int @ ( times_times_int @ x @ ( semiri2019852685at_int @ pm ) ) @ ( plus_plus_int @ ( semiri2019852685at_int @ ( suc @ zero_zero_nat ) ) @ ( semiri2019852685at_int @ pm ) ) )
     != x ) ),
    inference(spm,[status(thm)],[c_0_51,c_0_35]) ).

thf(c_0_57,negated_conjecture,
    x = zero_zero_int,
    inference(sr,[status(thm)],[c_0_52,c_0_53]) ).

thf(c_0_58,plain,
    ! [X6: int] :
      ( ( times_times_int @ zero_zero_int @ X6 )
      = zero_zero_int ),
    inference(split_conjunct,[status(thm)],[c_0_54]) ).

thf(c_0_59,plain,
    ! [X6: int] :
      ( ( divide_divide_int @ zero_zero_int @ X6 )
      = zero_zero_int ),
    inference(split_conjunct,[status(thm)],[c_0_55]) ).

thf(c_0_60,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_56,c_0_57]),c_0_58]),c_0_59]),c_0_57])]),c_0_53]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : ITP129^1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.05  % Command  : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.07/0.17  % Computer : n019.cluster.edu
% 0.07/0.17  % Model    : x86_64 x86_64
% 0.07/0.17  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.17  % Memory   : 8046.5625MB
% 0.07/0.17  % OS       : Linux 6.8.0-71-generic
% 0.07/0.17  % CPULimit : 300
% 0.07/0.17  % WCLimit  : 300
% 0.07/0.17  % DateTime : Tue Sep 29 19:58:02 UTC 2026
% 0.07/0.18  % CPUTime  : 
% 0.07/0.18  Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.07/0.21  Running higher-order theorem proving
% 0.07/0.25  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.ld5o2sIRbt/E---3.1_1273425.p
% 195.45/29.84  % Version: 3.5.1-ho
% 195.45/29.84  % Preprocessing class: HSLSSMSMSSSNSFA.
% 195.45/29.84  % Scheduled 6 strats onto 8 cores with 300 seconds (2400 total)
% 195.45/29.84  % Starting new_ho_10 with 900s (3) cores
% 195.45/29.84  % Starting sh2lt with 300s (1) cores
% 195.45/29.84  % Starting new_ho_5 with 300s (1) cores
% 195.45/29.84  % Starting full_lambda_5 with 300s (1) cores
% 195.45/29.84  % Starting sh9 with 300s (1) cores
% 195.45/29.84  % Starting ehoh_best8_lambda with 300s (1) cores
% 195.45/29.84  % full_lambda_5 with pid 1273441 completed with status 0
% 195.45/29.84  % Result found by full_lambda_5
% 195.45/29.84  % Preprocessing class: HSLSSMSMSSSNSFA.
% 195.45/29.84  % Scheduled 6 strats onto 8 cores with 300 seconds (2400 total)
% 195.45/29.84  % Starting new_ho_10 with 900s (3) cores
% 195.45/29.84  % Starting sh2lt with 300s (1) cores
% 195.45/29.84  % Starting new_ho_5 with 300s (1) cores
% 195.45/29.84  % Starting full_lambda_5 with 300s (1) cores
% 195.45/29.84  % (lift_lambdas = 1, lambda_to_forall = 0,unroll_only_formulas = 1, sine = Auto)
% 195.45/29.84  % No SInE strategy applied
% 195.45/29.84  % Search class: HGHSM-FSLM31-MSFFFFBN
% 195.45/29.84  % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 195.45/29.84  % Starting SubtermCWHack with 28s (1) cores
% 195.45/29.84  % SubtermCWHack with pid 1273448 completed with status 8
% 195.45/29.84  % Starting full_lambda_5 with 31s (1) cores
% 195.45/29.84  % full_lambda_5 with pid 1273467 completed with status 0
% 195.45/29.84  % Result found by full_lambda_5
% 195.45/29.84  % Preprocessing class: HSLSSMSMSSSNSFA.
% 195.45/29.84  % Scheduled 6 strats onto 8 cores with 300 seconds (2400 total)
% 195.45/29.84  % Starting new_ho_10 with 900s (3) cores
% 195.45/29.84  % Starting sh2lt with 300s (1) cores
% 195.45/29.84  % Starting new_ho_5 with 300s (1) cores
% 195.45/29.84  % Starting full_lambda_5 with 300s (1) cores
% 195.45/29.84  % (lift_lambdas = 1, lambda_to_forall = 0,unroll_only_formulas = 1, sine = Auto)
% 195.45/29.84  % No SInE strategy applied
% 195.45/29.84  % Search class: HGHSM-FSLM31-MSFFFFBN
% 195.45/29.84  % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 195.45/29.84  % Starting SubtermCWHack with 28s (1) cores
% 195.45/29.84  % SubtermCWHack with pid 1273448 completed with status 8
% 195.45/29.84  % Starting full_lambda_5 with 31s (1) cores
% 195.45/29.84  % Preprocessing time       : 0.006 s
% 195.45/29.84  % Presaturation interreduction done
% 195.45/29.84  
% 195.45/29.84  % Proof found!
% 195.45/29.84  % SZS status Theorem
% 195.45/29.84  % SZS output start CNFRefutation
% See solution above
% 195.45/29.84  % Parsed axioms                        : 342
% 195.45/29.84  % Removed by relevancy pruning/SinE    : 0
% 195.45/29.84  % Initial clauses                      : 466
% 195.45/29.84  % Removed in clause preprocessing      : 71
% 195.45/29.84  % Initial clauses in saturation        : 395
% 195.45/29.84  % Processed clauses                    : 667
% 195.45/29.84  % ...of these trivial                  : 73
% 195.45/29.84  % ...subsumed                          : 132
% 195.45/29.84  % ...remaining for further processing  : 462
% 195.45/29.84  % Other redundant clauses eliminated   : 93
% 195.45/29.84  % Clauses deleted for lack of memory   : 0
% 195.45/29.84  % Backward-subsumed                    : 2
% 195.45/29.84  % Backward-rewritten                   : 31
% 195.45/29.84  % Generated clauses                    : 1786
% 195.45/29.84  % ...of the previous two non-redundant : 1411
% 195.45/29.84  % ...aggressively subsumed             : 0
% 195.45/29.84  % Contextual simplify-reflections      : 0
% 195.45/29.84  % Paramodulations                      : 1673
% 195.45/29.84  % Factorizations                       : 0
% 195.45/29.84  % NegExts                              : 0
% 195.45/29.84  % Equation resolutions                 : 109
% 195.45/29.84  % Disequality decompositions           : 0
% 195.45/29.84  % Total rewrite steps                  : 1473
% 195.45/29.84  % ...of those cached                   : 907
% 195.45/29.84  % Propositional unsat checks           : 0
% 195.45/29.84  %    Propositional check models        : 0
% 195.45/29.84  %    Propositional check unsatisfiable : 0
% 195.45/29.84  %    Propositional clauses             : 0
% 195.45/29.84  %    Propositional clauses after purity: 0
% 195.45/29.84  %    Propositional unsat core size     : 0
% 195.45/29.84  %    Propositional preprocessing time  : 0.000
% 195.45/29.84  %    Propositional encoding time       : 0.000
% 195.45/29.84  %    Propositional solver time         : 0.000
% 195.45/29.84  %    Success case prop preproc time    : 0.000
% 195.45/29.84  %    Success case prop encoding time   : 0.000
% 195.45/29.84  %    Success case prop solver time     : 0.000
% 195.45/29.84  % Current number of processed clauses  : 173
% 195.45/29.84  %    Positive orientable unit clauses  : 78
% 195.45/29.84  %    Positive unorientable unit clauses: 10
% 195.45/29.84  %    Negative unit clauses             : 15
% 195.45/29.84  %    Non-unit-clauses                  : 70
% 195.45/29.84  % Current number of unprocessed clauses: 1317
% 195.45/29.84  % ...number of literals in the above   : 2445
% 195.45/29.84  % Current number of archived formulas  : 0
% 195.45/29.84  % Current number of archived clauses   : 212
% 195.45/29.84  % Clause-clause subsumption calls (NU) : 5304
% 195.45/29.84  % Rec. Clause-clause subsumption calls : 3883
% 195.45/29.84  % Non-unit clause-clause subsumptions  : 78
% 195.45/29.84  % Unit Clause-clause subsumption calls : 444
% 195.45/29.84  % Rewrite failures with RHS unbound    : 0
% 195.45/29.84  % BW rewrite match attempts            : 112
% 195.45/29.84  % BW rewrite match successes           : 78
% 195.45/29.84  % Condensation attempts                : 0
% 195.45/29.84  % Condensation successes               : 0
% 195.45/29.84  % Termbank termtop insertions          : 42306
% 195.45/29.84  % Search garbage collected termcells   : 5566
% 195.45/29.84  
% 195.45/29.84  % -------------------------------------------------
% 195.45/29.84  % User time                : 27.228 s
% 195.45/29.84  % System time              : 0.933 s
% 195.45/29.84  % Total time               : 28.160 s
% 195.45/29.84  % Maximum resident set size: 5348 pages
% 195.45/29.84  
% 195.45/29.84  % -------------------------------------------------
% 195.45/29.84  % User time                : 27.240 s
% 195.45/29.84  % System time              : 0.937 s
% 195.45/29.84  % Total time               : 28.177 s
% 195.45/29.84  % Maximum resident set size: 5376 pages
% 195.45/29.84  % E exiting
%------------------------------------------------------------------------------