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E---3.5.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : E---3.5.1
% Problem  : SWW470_1 : TPTP v9.3.1. Released v5.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n008.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 : Thu Sep 24 03:10:45 PM UTC 2026

% Result   : Theorem 6.80s 1.36s
% Output   : CNFRefutation 6.80s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   29 (  20 unt;   0 typ;   0 def)
%            Number of atoms       :   49 (  14 equ)
%            Maximal formula atoms :    9 (   1 avg)
%            Number of connectives :   32 (  12   ~;  13   |;   3   &)
%                                         (   0 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   16 (   3 avg)
%            Maximal term depth    :   11 (   2 avg)
%            Number of types       :   23 (  22 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :   34 (  34 usr;  13 con; 0-6 aty)
%            Number of variables   :   44 (   0 sgn  42   !;   2   ?;  44   :)

% Comments : 
%------------------------------------------------------------------------------
tff(decl_sort1,type,
    com: $tType ).

tff(decl_sort2,type,
    fun_bool_bool: $tType ).

tff(decl_sort3,type,
    fun_fu373216837e_bool: $tType ).

tff(decl_sort4,type,
    fun_fu1585556401a_bool: $tType ).

tff(decl_sort5,type,
    fun_bo1549164019l_bool: $tType ).

tff(decl_sort6,type,
    fun_fu1658206819l_bool: $tType ).

tff(decl_sort7,type,
    fun_fu2118559873l_bool: $tType ).

tff(decl_sort8,type,
    fun_fu1047394976e_bool: $tType ).

tff(decl_sort9,type,
    fun_fu2008829792e_bool: $tType ).

tff(decl_sort10,type,
    fun_fu832487784l_bool: $tType ).

tff(decl_sort11,type,
    fun_fu734682033e_bool: $tType ).

tff(decl_sort12,type,
    bool: $tType ).

tff(decl_sort13,type,
    fun_state_bool: $tType ).

tff(decl_sort14,type,
    fun_Ho1877127206a_bool: $tType ).

tff(decl_sort15,type,
    fun_a_fun_state_bool: $tType ).

tff(decl_sort16,type,
    hoare_1927711152iple_a: $tType ).

tff(decl_sort17,type,
    fun_Ho1630563774a_bool: $tType ).

tff(decl_sort18,type,
    x_a: $tType ).

tff(decl_sort19,type,
    fun_a_1632297036l_bool: $tType ).

tff(decl_sort20,type,
    fun_a_2117018159e_bool: $tType ).

tff(decl_sort21,type,
    state: $tType ).

tff(decl_sort22,type,
    fun_fu281355805e_bool: $tType ).

tff(decl_23,type,
    cOMBB_160679318_state: fun_bool_bool > fun_fu373216837e_bool ).

tff(decl_25,type,
    cOMBB_188601460_state: fun_bo1549164019l_bool > fun_fu1658206819l_bool ).

tff(decl_27,type,
    cOMBB_1355796797bool_a: fun_fu1658206819l_bool > fun_fu2118559873l_bool ).

tff(decl_29,type,
    cOMBB_145932198bool_a: fun_fu1047394976e_bool > fun_fu2008829792e_bool ).

tff(decl_32,type,
    cOMBC_892787026e_bool: fun_fu734682033e_bool ).

tff(decl_38,type,
    cOMBK_bool_state: bool > fun_state_bool ).

tff(decl_40,type,
    cOMBK_1458035955bool_a: fun_state_bool > fun_a_fun_state_bool ).

tff(decl_41,type,
    cOMBS_1378840469l_bool: fun_fu1047394976e_bool ).

tff(decl_45,type,
    finite68738179iple_a: fun_fu832487784l_bool ).

tff(decl_52,type,
    hoare_1617968510rivs_a: fun_Ho1877127206a_bool > fun_fu832487784l_bool ).

tff(decl_53,type,
    hoare_1652181356iple_a: ( fun_a_fun_state_bool * ( com * fun_a_fun_state_bool ) ) > hoare_1927711152iple_a ).

tff(decl_55,type,
    bot_bo1208640912a_bool: fun_Ho1877127206a_bool ).

tff(decl_57,type,
    insert1434104874iple_a: fun_Ho1630563774a_bool ).

tff(decl_59,type,
    fFalse: bool ).

tff(decl_60,type,
    fNot: fun_bool_bool ).

tff(decl_61,type,
    fTrue: bool ).

tff(decl_62,type,
    fconj: fun_bo1549164019l_bool ).

tff(decl_68,type,
    hAPP_a2036067514e_bool: ( x_a * fun_a_fun_state_bool ) > fun_state_bool ).

tff(decl_72,type,
    hAPP_state_bool: ( state * fun_state_bool ) > bool ).

tff(decl_85,type,
    hAPP_H1975128022a_bool: ( hoare_1927711152iple_a * fun_Ho1630563774a_bool ) > fun_fu1585556401a_bool ).

tff(decl_86,type,
    hAPP_f1509969235l_bool: ( fun_a_fun_state_bool * fun_fu2118559873l_bool ) > fun_a_1632297036l_bool ).

tff(decl_88,type,
    hAPP_f963367678e_bool: ( fun_a_1632297036l_bool * fun_fu2008829792e_bool ) > fun_a_2117018159e_bool ).

tff(decl_90,type,
    hAPP_f1261923407e_bool: ( fun_a_2117018159e_bool * fun_fu734682033e_bool ) > fun_fu281355805e_bool ).

tff(decl_91,type,
    hAPP_f762886889e_bool: ( fun_state_bool * fun_fu281355805e_bool ) > fun_a_fun_state_bool ).

tff(decl_92,type,
    hAPP_f1759915619e_bool: ( fun_state_bool * fun_fu373216837e_bool ) > fun_state_bool ).

tff(decl_97,type,
    hAPP_f1454306822l_bool: ( fun_Ho1877127206a_bool * fun_fu832487784l_bool ) > bool ).

tff(decl_99,type,
    hAPP_f16502863a_bool: ( fun_Ho1877127206a_bool * fun_fu1585556401a_bool ) > fun_Ho1877127206a_bool ).

tff(decl_108,type,
    hBOOL: bool > $o ).

tff(decl_110,type,
    g: fun_Ho1877127206a_bool ).

tff(decl_111,type,
    p: fun_a_fun_state_bool ).

tff(decl_112,type,
    b: fun_state_bool ).

tff(decl_113,type,
    c: com ).

tff(decl_137,type,
    esk24_4: ( fun_a_fun_state_bool * ( com * ( fun_Ho1877127206a_bool * fun_a_fun_state_bool ) ) ) > x_a ).

tff(decl_138,type,
    esk25_4: ( fun_a_fun_state_bool * ( com * ( fun_Ho1877127206a_bool * fun_a_fun_state_bool ) ) ) > state ).

tff(decl_139,type,
    esk26_6: ( fun_a_fun_state_bool * ( fun_a_fun_state_bool * ( fun_a_fun_state_bool * ( com * ( fun_Ho1877127206a_bool * fun_a_fun_state_bool ) ) ) ) ) > state ).

tff(conj_0,conjecture,
    hBOOL(hAPP_f1454306822l_bool(hoare_1617968510rivs_a(g),hAPP_f16502863a_bool(hAPP_H1975128022a_bool(insert1434104874iple_a,hoare_1652181356iple_a(cOMBK_1458035955bool_a(cOMBK_bool_state(fFalse)),c,hAPP_f762886889e_bool(hAPP_f1261923407e_bool(cOMBC_892787026e_bool,hAPP_f963367678e_bool(cOMBB_145932198bool_a(cOMBS_1378840469l_bool),hAPP_f1509969235l_bool(cOMBB_1355796797bool_a(cOMBB_188601460_state(fconj)),p))),hAPP_f1759915619e_bool(cOMBB_160679318_state(fNot),b)))),bot_bo1208640912a_bool))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).

tff(help_fFalse_1_1_T,axiom,
    ! [X78: bool] :
      ( ( X78 = fFalse )
      | ( X78 = fTrue ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_fFalse_1_1_T) ).

tff(help_fFalse_1_1_U,axiom,
    ~ hBOOL(fFalse),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_fFalse_1_1_U) ).

tff(fact_60_conseq,axiom,
    ! [X13: fun_a_fun_state_bool,X1: fun_Ho1877127206a_bool,X12: com,X11: fun_a_fun_state_bool] :
      ( ! [X15: x_a,X16: state] :
          ( hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X11,X15),X16))
         => ? [X56: fun_a_fun_state_bool,X57: fun_a_fun_state_bool] :
              ( ! [X19: state] :
                  ( ! [X20: x_a] :
                      ( hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X56,X20),X16))
                     => hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X57,X20),X19)) )
                 => hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X13,X15),X19)) )
              & hBOOL(hAPP_f1454306822l_bool(hoare_1617968510rivs_a(X1),hAPP_f16502863a_bool(hAPP_H1975128022a_bool(insert1434104874iple_a,hoare_1652181356iple_a(X56,X12,X57)),bot_bo1208640912a_bool))) ) )
     => hBOOL(hAPP_f1454306822l_bool(hoare_1617968510rivs_a(X1),hAPP_f16502863a_bool(hAPP_H1975128022a_bool(insert1434104874iple_a,hoare_1652181356iple_a(X11,X12,X13)),bot_bo1208640912a_bool))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_60_conseq) ).

tff(help_COMBK_1_1_COMBK_000tc__fun_Itc__Com__Ostate_Mtc__HOL__Obool_J_000t__a_U,axiom,
    ! [X83: fun_state_bool,X84: x_a] : ( hAPP_a2036067514e_bool(cOMBK_1458035955bool_a(X83),X84) = X83 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_COMBK_1_1_COMBK_000tc__fun_Itc__Com__Ostate_Mtc__HOL__Obool_J_000t__a_U) ).

tff(fact_71_finite_OemptyI,axiom,
    hBOOL(hAPP_f1454306822l_bool(finite68738179iple_a,bot_bo1208640912a_bool)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_71_finite_OemptyI) ).

tff(help_COMBK_1_1_COMBK_000tc__HOL__Obool_000tc__Com__Ostate_U,axiom,
    ! [X78: bool,X82: state] : ( hAPP_state_bool(cOMBK_bool_state(X78),X82) = X78 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_COMBK_1_1_COMBK_000tc__HOL__Obool_000tc__Com__Ostate_U) ).

tff(c_0_7,negated_conjecture,
    ~ hBOOL(hAPP_f1454306822l_bool(hoare_1617968510rivs_a(g),hAPP_f16502863a_bool(hAPP_H1975128022a_bool(insert1434104874iple_a,hoare_1652181356iple_a(cOMBK_1458035955bool_a(cOMBK_bool_state(fFalse)),c,hAPP_f762886889e_bool(hAPP_f1261923407e_bool(cOMBC_892787026e_bool,hAPP_f963367678e_bool(cOMBB_145932198bool_a(cOMBS_1378840469l_bool),hAPP_f1509969235l_bool(cOMBB_1355796797bool_a(cOMBB_188601460_state(fconj)),p))),hAPP_f1759915619e_bool(cOMBB_160679318_state(fNot),b)))),bot_bo1208640912a_bool))),
    inference(assume_negation,[status(cth)],[conj_0]) ).

tff(c_0_8,plain,
    ! [X461: bool] :
      ( ( X461 = fFalse )
      | ( X461 = fTrue ) ),
    inference(variable_rename,[status(thm)],[help_fFalse_1_1_T]) ).

tff(c_0_9,plain,
    ~ hBOOL(fFalse),
    inference(fof_simplification,[status(thm)],[help_fFalse_1_1_U]) ).

tff(c_0_10,plain,
    ! [X310: fun_a_fun_state_bool,X311: fun_Ho1877127206a_bool,X312: com,X313: fun_a_fun_state_bool,X316: fun_a_fun_state_bool,X317: fun_a_fun_state_bool,X319: x_a] :
      ( ( hBOOL(hAPP_f1454306822l_bool(hoare_1617968510rivs_a(X311),hAPP_f16502863a_bool(hAPP_H1975128022a_bool(insert1434104874iple_a,hoare_1652181356iple_a(X313,X312,X310)),bot_bo1208640912a_bool)))
        | ~ hBOOL(hAPP_f1454306822l_bool(hoare_1617968510rivs_a(X311),hAPP_f16502863a_bool(hAPP_H1975128022a_bool(insert1434104874iple_a,hoare_1652181356iple_a(X316,X312,X317)),bot_bo1208640912a_bool)))
        | ~ hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X310,esk24_4(X310,X311,X312,X313)),esk26_6(X310,X311,X312,X313,X316,X317))) )
      & ( hBOOL(hAPP_f1454306822l_bool(hoare_1617968510rivs_a(X311),hAPP_f16502863a_bool(hAPP_H1975128022a_bool(insert1434104874iple_a,hoare_1652181356iple_a(X313,X312,X310)),bot_bo1208640912a_bool)))
        | ~ hBOOL(hAPP_f1454306822l_bool(hoare_1617968510rivs_a(X311),hAPP_f16502863a_bool(hAPP_H1975128022a_bool(insert1434104874iple_a,hoare_1652181356iple_a(X316,X312,X317)),bot_bo1208640912a_bool)))
        | hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X317,X319),esk26_6(X310,X311,X312,X313,X316,X317)))
        | ~ hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X316,X319),esk25_4(X310,X311,X312,X313))) )
      & ( hBOOL(hAPP_f1454306822l_bool(hoare_1617968510rivs_a(X311),hAPP_f16502863a_bool(hAPP_H1975128022a_bool(insert1434104874iple_a,hoare_1652181356iple_a(X313,X312,X310)),bot_bo1208640912a_bool)))
        | hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X313,esk24_4(X310,X311,X312,X313)),esk25_4(X310,X311,X312,X313))) ) ),
    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)],[fact_60_conseq])])])])])]) ).

tff(c_0_11,plain,
    ! [X474: fun_state_bool,X475: x_a] : ( hAPP_a2036067514e_bool(cOMBK_1458035955bool_a(X474),X475) = X474 ),
    inference(variable_rename,[status(thm)],[help_COMBK_1_1_COMBK_000tc__fun_Itc__Com__Ostate_Mtc__HOL__Obool_J_000t__a_U]) ).

tff(c_0_12,negated_conjecture,
    ~ hBOOL(hAPP_f1454306822l_bool(hoare_1617968510rivs_a(g),hAPP_f16502863a_bool(hAPP_H1975128022a_bool(insert1434104874iple_a,hoare_1652181356iple_a(cOMBK_1458035955bool_a(cOMBK_bool_state(fFalse)),c,hAPP_f762886889e_bool(hAPP_f1261923407e_bool(cOMBC_892787026e_bool,hAPP_f963367678e_bool(cOMBB_145932198bool_a(cOMBS_1378840469l_bool),hAPP_f1509969235l_bool(cOMBB_1355796797bool_a(cOMBB_188601460_state(fconj)),p))),hAPP_f1759915619e_bool(cOMBB_160679318_state(fNot),b)))),bot_bo1208640912a_bool))),
    inference(fof_simplification,[status(thm)],[c_0_7]) ).

tcf(c_0_13,plain,
    hBOOL(hAPP_f1454306822l_bool(finite68738179iple_a,bot_bo1208640912a_bool)),
    inference(split_conjunct,[status(thm)],[fact_71_finite_OemptyI]) ).

tcf(c_0_14,plain,
    ! [X14: bool] :
      ( ( X14 = fFalse )
      | ( X14 = fTrue ) ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

tff(c_0_15,plain,
    ~ hBOOL(fFalse),
    inference(fof_nnf,[status(thm)],[c_0_9]) ).

tcf(c_0_16,plain,
    ! [X1: fun_Ho1877127206a_bool,X2: fun_a_fun_state_bool,X3: com,X4: fun_a_fun_state_bool] :
      ( hBOOL(hAPP_f1454306822l_bool(hoare_1617968510rivs_a(X1),hAPP_f16502863a_bool(hAPP_H1975128022a_bool(insert1434104874iple_a,hoare_1652181356iple_a(X2,X3,X4)),bot_bo1208640912a_bool)))
      | hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X2,esk24_4(X4,X1,X3,X2)),esk25_4(X4,X1,X3,X2))) ),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

tcf(c_0_17,plain,
    ! [X15: x_a,X83: fun_state_bool] : hAPP_a2036067514e_bool(cOMBK_1458035955bool_a(X83),X15) = X83,
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

tff(c_0_18,plain,
    ! [X472: bool,X473: state] : ( hAPP_state_bool(cOMBK_bool_state(X472),X473) = X472 ),
    inference(variable_rename,[status(thm)],[help_COMBK_1_1_COMBK_000tc__HOL__Obool_000tc__Com__Ostate_U]) ).

tff(c_0_19,negated_conjecture,
    ~ hBOOL(hAPP_f1454306822l_bool(hoare_1617968510rivs_a(g),hAPP_f16502863a_bool(hAPP_H1975128022a_bool(insert1434104874iple_a,hoare_1652181356iple_a(cOMBK_1458035955bool_a(cOMBK_bool_state(fFalse)),c,hAPP_f762886889e_bool(hAPP_f1261923407e_bool(cOMBC_892787026e_bool,hAPP_f963367678e_bool(cOMBB_145932198bool_a(cOMBS_1378840469l_bool),hAPP_f1509969235l_bool(cOMBB_1355796797bool_a(cOMBB_188601460_state(fconj)),p))),hAPP_f1759915619e_bool(cOMBB_160679318_state(fNot),b)))),bot_bo1208640912a_bool))),
    inference(fof_nnf,[status(thm)],[c_0_12]) ).

tcf(c_0_20,plain,
    ( hBOOL(fTrue)
    | ( hAPP_f1454306822l_bool(finite68738179iple_a,bot_bo1208640912a_bool) = fFalse ) ),
    inference(spm,[status(thm)],[c_0_13,c_0_14]) ).

tcf(c_0_21,plain,
    ~ hBOOL(fFalse),
    inference(split_conjunct,[status(thm)],[c_0_15]) ).

tcf(c_0_22,plain,
    ! [X1: fun_Ho1877127206a_bool,X2: fun_a_fun_state_bool,X3: com,X83: fun_state_bool] :
      ( hBOOL(hAPP_state_bool(X83,esk25_4(X2,X1,X3,cOMBK_1458035955bool_a(X83))))
      | hBOOL(hAPP_f1454306822l_bool(hoare_1617968510rivs_a(X1),hAPP_f16502863a_bool(hAPP_H1975128022a_bool(insert1434104874iple_a,hoare_1652181356iple_a(cOMBK_1458035955bool_a(X83),X3,X2)),bot_bo1208640912a_bool))) ),
    inference(spm,[status(thm)],[c_0_16,c_0_17]) ).

tcf(c_0_23,plain,
    ! [X16: state,X14: bool] : hAPP_state_bool(cOMBK_bool_state(X14),X16) = X14,
    inference(split_conjunct,[status(thm)],[c_0_18]) ).

tcf(c_0_24,negated_conjecture,
    ~ hBOOL(hAPP_f1454306822l_bool(hoare_1617968510rivs_a(g),hAPP_f16502863a_bool(hAPP_H1975128022a_bool(insert1434104874iple_a,hoare_1652181356iple_a(cOMBK_1458035955bool_a(cOMBK_bool_state(fFalse)),c,hAPP_f762886889e_bool(hAPP_f1261923407e_bool(cOMBC_892787026e_bool,hAPP_f963367678e_bool(cOMBB_145932198bool_a(cOMBS_1378840469l_bool),hAPP_f1509969235l_bool(cOMBB_1355796797bool_a(cOMBB_188601460_state(fconj)),p))),hAPP_f1759915619e_bool(cOMBB_160679318_state(fNot),b)))),bot_bo1208640912a_bool))),
    inference(split_conjunct,[status(thm)],[c_0_19]) ).

tcf(c_0_25,plain,
    hBOOL(fTrue),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_20]),c_0_21]) ).

tcf(c_0_26,plain,
    ! [X1: fun_Ho1877127206a_bool,X2: fun_a_fun_state_bool,X3: com,X14: bool] :
      ( hBOOL(X14)
      | hBOOL(hAPP_f1454306822l_bool(hoare_1617968510rivs_a(X1),hAPP_f16502863a_bool(hAPP_H1975128022a_bool(insert1434104874iple_a,hoare_1652181356iple_a(cOMBK_1458035955bool_a(cOMBK_bool_state(X14)),X3,X2)),bot_bo1208640912a_bool))) ),
    inference(spm,[status(thm)],[c_0_22,c_0_23]) ).

tcf(c_0_27,negated_conjecture,
    hAPP_f1454306822l_bool(hoare_1617968510rivs_a(g),hAPP_f16502863a_bool(hAPP_H1975128022a_bool(insert1434104874iple_a,hoare_1652181356iple_a(cOMBK_1458035955bool_a(cOMBK_bool_state(fFalse)),c,hAPP_f762886889e_bool(hAPP_f1261923407e_bool(cOMBC_892787026e_bool,hAPP_f963367678e_bool(cOMBB_145932198bool_a(cOMBS_1378840469l_bool),hAPP_f1509969235l_bool(cOMBB_1355796797bool_a(cOMBB_188601460_state(fconj)),p))),hAPP_f1759915619e_bool(cOMBB_160679318_state(fNot),b)))),bot_bo1208640912a_bool)) = fFalse,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_14]),c_0_25])]) ).

cnf(c_0_28,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_27]),c_0_21]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SWW470_1 : TPTP v9.3.1. Released v5.3.0.
% 0.00/0.05  % Command  : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.37  % Computer : n008.cluster.edu
% 0.10/0.37  % Model    : x86_64 x86_64
% 0.10/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37  % Memory   : 8046.5625MB
% 0.10/0.37  % OS       : Linux 6.8.0-71-generic
% 0.10/0.37  % CPULimit : 300
% 0.10/0.37  % WCLimit  : 300
% 0.10/0.37  % DateTime : Mon Sep 21 09:56:39 UTC 2026
% 0.10/0.37  % CPUTime  : 
% 0.10/0.37  Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.41  Running first-order theorem proving
% 0.10/0.41  Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 6.80/1.36  % Version: 3.5.1
% 6.80/1.36  % Preprocessing class: FSLSSMSMSSSNFFN.
% 6.80/1.36  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 6.80/1.36  % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 6.80/1.36  % Starting new_bool_3 with 300s (1) cores
% 6.80/1.36  % Starting new_bool_1 with 300s (1) cores
% 6.80/1.36  % Starting sh5l with 300s (1) cores
% 6.80/1.36  % C07_19_nc_SOS_SAT001_MinMin_p005000_rr with pid 716444 completed with status 0
% 6.80/1.36  % Result found by C07_19_nc_SOS_SAT001_MinMin_p005000_rr
% 6.80/1.36  % Preprocessing class: FSLSSMSMSSSNFFN.
% 6.80/1.36  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 6.80/1.36  % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 6.80/1.36  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 6.80/1.36  % No SInE strategy applied
% 6.80/1.36  % Search class: FGHSM-FSLF32-DFFFFFNN
% 6.80/1.36  % partial match(1): FGHSM-FSLM32-DFFFFFNN
% 6.80/1.36  % Scheduled 13 strats onto 5 cores with 1500 seconds (1500 total)
% 6.80/1.36  % Starting SubtermCWHack with 136s (1) cores
% 6.80/1.36  % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 6.80/1.36  % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 113s (1) cores
% 6.80/1.36  % Starting G-E--_300_C18_F1_SE_CS_SP_PS_S0Y with 113s (1) cores
% 6.80/1.36  % Starting U----_206c_05_B11_00_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN with 113s (1) cores
% 6.80/1.36  % G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with pid 716453 completed with status 0
% 6.80/1.36  % Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 6.80/1.36  % Preprocessing class: FSLSSMSMSSSNFFN.
% 6.80/1.36  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 6.80/1.36  % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 6.80/1.36  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 6.80/1.36  % No SInE strategy applied
% 6.80/1.36  % Search class: FGHSM-FSLF32-DFFFFFNN
% 6.80/1.36  % partial match(1): FGHSM-FSLM32-DFFFFFNN
% 6.80/1.36  % Scheduled 13 strats onto 5 cores with 1500 seconds (1500 total)
% 6.80/1.36  % Starting SubtermCWHack with 136s (1) cores
% 6.80/1.36  % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 6.80/1.36  % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 113s (1) cores
% 6.80/1.36  % Preprocessing time       : 0.005 s
% 6.80/1.36  % Presaturation interreduction done
% 6.80/1.36  
% 6.80/1.36  % Proof found!
% 6.80/1.36  % SZS status Theorem
% 6.80/1.36  % SZS output start CNFRefutation
% See solution above
% 6.80/1.36  % Parsed axioms                        : 271
% 6.80/1.36  % Removed by relevancy pruning/SinE    : 0
% 6.80/1.36  % Initial clauses                      : 345
% 6.80/1.36  % Removed in clause preprocessing      : 141
% 6.80/1.36  % Initial clauses in saturation        : 204
% 6.80/1.36  % Processed clauses                    : 3854
% 6.80/1.36  % ...of these trivial                  : 48
% 6.80/1.36  % ...subsumed                          : 2942
% 6.80/1.36  % ...remaining for further processing  : 864
% 6.80/1.36  % Other redundant clauses eliminated   : 236
% 6.80/1.36  % Clauses deleted for lack of memory   : 0
% 6.80/1.36  % Backward-subsumed                    : 7
% 6.80/1.36  % Backward-rewritten                   : 36
% 6.80/1.36  % Generated clauses                    : 36871
% 6.80/1.36  % ...of the previous two non-redundant : 33908
% 6.80/1.36  % ...aggressively subsumed             : 0
% 6.80/1.36  % Contextual simplify-reflections      : 6
% 6.80/1.36  % Paramodulations                      : 36557
% 6.80/1.36  % Factorizations                       : 71
% 6.80/1.36  % NegExts                              : 0
% 6.80/1.36  % Equation resolutions                 : 247
% 6.80/1.36  % Disequality decompositions           : 0
% 6.80/1.36  % Total rewrite steps                  : 7349
% 6.80/1.36  % ...of those cached                   : 6821
% 6.80/1.36  % Propositional unsat checks           : 0
% 6.80/1.36  %    Propositional check models        : 0
% 6.80/1.36  %    Propositional check unsatisfiable : 0
% 6.80/1.36  %    Propositional clauses             : 0
% 6.80/1.36  %    Propositional clauses after purity: 0
% 6.80/1.36  %    Propositional unsat core size     : 0
% 6.80/1.36  %    Propositional preprocessing time  : 0.000
% 6.80/1.36  %    Propositional encoding time       : 0.000
% 6.80/1.36  %    Propositional solver time         : 0.000
% 6.80/1.36  %    Success case prop preproc time    : 0.000
% 6.80/1.36  %    Success case prop encoding time   : 0.000
% 6.80/1.36  %    Success case prop solver time     : 0.000
% 6.80/1.36  % Current number of processed clauses  : 631
% 6.80/1.36  %    Positive orientable unit clauses  : 101
% 6.80/1.36  %    Positive unorientable unit clauses: 12
% 6.80/1.36  %    Negative unit clauses             : 17
% 6.80/1.36  %    Non-unit-clauses                  : 501
% 6.80/1.36  % Current number of unprocessed clauses: 29987
% 6.80/1.36  % ...number of literals in the above   : 113180
% 6.80/1.36  % Current number of archived formulas  : 0
% 6.80/1.36  % Current number of archived clauses   : 212
% 6.80/1.36  % Clause-clause subsumption calls (NU) : 63091
% 6.80/1.36  % Rec. Clause-clause subsumption calls : 43793
% 6.80/1.36  % Non-unit clause-clause subsumptions  : 2202
% 6.80/1.36  % Unit Clause-clause subsumption calls : 2285
% 6.80/1.36  % Rewrite failures with RHS unbound    : 0
% 6.80/1.36  % BW rewrite match attempts            : 243
% 6.80/1.36  % BW rewrite match successes           : 55
% 6.80/1.36  % Condensation attempts                : 0
% 6.80/1.36  % Condensation successes               : 0
% 6.80/1.36  % Termbank termtop insertions          : 624308
% 6.80/1.36  % Search garbage collected termcells   : 2933
% 6.80/1.36  
% 6.80/1.36  % -------------------------------------------------
% 6.80/1.36  % User time                : 0.788 s
% 6.80/1.36  % System time              : 0.038 s
% 6.80/1.36  % Total time               : 0.825 s
% 6.80/1.36  % Maximum resident set size: 4792 pages
% 6.80/1.36  
% 6.80/1.36  % -------------------------------------------------
% 6.80/1.36  % User time                : 4.068 s
% 6.80/1.36  % System time              : 0.197 s
% 6.80/1.36  % Total time               : 4.265 s
% 6.80/1.36  % Maximum resident set size: 5120 pages
% 6.80/1.36  % E exiting
%------------------------------------------------------------------------------