↑ Up

E---3.5.1.THM-CRf.s

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : E---3.5.1
% Problem  : NUM926+8 : 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 : n004.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 01:51:05 PM UTC 2026

% Result   : Theorem 233.81s 35.39s
% Output   : CNFRefutation 233.81s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :   29
% Syntax   : Number of formulae    :  113 (  87 unt;   0 def)
%            Number of atoms       :  149 (  99 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   70 (  34   ~;  28   |;   0   &)
%                                         (   0 <=>;   8  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   2 avg)
%            Maximal term depth    :    9 (   2 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :   29 (  29 usr;  18 con; 0-4 aty)
%            Number of variables   :  128 (   4 sgn  60   !;   8   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(fact_2897_succ__pred,axiom,
    ! [X10] : hAPP(int,int,succ,hAPP(int,int,pred,X10)) = ti(int,X10),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_2897_succ__pred) ).

fof(help_COMBI_1_1_U,axiom,
    ! [X1,X228] : hAPP(X1,X1,combi(X1),X228) = ti(X1,X228),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_COMBI_1_1_U) ).

fof(fact_89_number__of__is__id,axiom,
    ! [X19] : hAPP(int,int,number_number_of(int),X19) = ti(int,X19),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_89_number__of__is__id) ).

fof(fact_131_zmult__1,axiom,
    ! [X16] : hAPP(int,int,hAPP(int,fun(int,int),times_times(int),one_one(int)),X16) = ti(int,X16),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_131_zmult__1) ).

fof(help_fNot_1_1_U,axiom,
    ! [X228] :
      ( ~ hBOOL(X228)
      | ~ hBOOL(hAPP(bool,bool,fNot,X228)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_fNot_1_1_U) ).

fof(tsy_c_hAPP_arg2,axiom,
    ! [X1,X3,X4,X5] : hAPP(X1,X3,X4,ti(X1,X5)) = hAPP(X1,X3,X4,X5),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tsy_c_hAPP_arg2) ).

fof(fact_2898_pred__Bit1,axiom,
    ! [X19] : hAPP(int,int,pred,hAPP(int,int,bit1,X19)) = hAPP(int,int,bit0,X19),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_2898_pred__Bit1) ).

fof(tsy_v_m_res,hypothesis,
    ti(int,m) = m,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tsy_v_m_res) ).

fof(help_If_3_1_T,axiom,
    ! [X228] :
      ( ti(bool,X228) = fFalse
      | ti(bool,X228) = fTrue ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_If_3_1_T) ).

fof(conj_0,conjecture,
    ? [X6,X7] : hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),hAPP(nat,int,hAPP(int,fun(nat,int),power_power(int),X6),hAPP(int,nat,number_number_of(nat),hAPP(int,int,bit0,hAPP(int,int,bit1,pls))))),hAPP(nat,int,hAPP(int,fun(nat,int),power_power(int),X7),hAPP(int,nat,number_number_of(nat),hAPP(int,int,bit0,hAPP(int,int,bit1,pls))))) = hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),hAPP(int,int,hAPP(int,fun(int,int),times_times(int),hAPP(int,int,number_number_of(int),hAPP(int,int,bit0,hAPP(int,int,bit0,hAPP(int,int,bit1,pls))))),m)),one_one(int)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).

fof(fact_1128_nat__number__of__def,axiom,
    ! [X14] : hAPP(int,nat,number_number_of(nat),X14) = hAPP(int,nat,nat_1,hAPP(int,int,number_number_of(int),X14)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1128_nat__number__of__def) ).

fof(fact_161_one__is__num__one,axiom,
    one_one(int) = hAPP(int,int,number_number_of(int),hAPP(int,int,bit1,pls)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_161_one__is__num__one) ).

fof(fact_123_Bit0__Pls,axiom,
    hAPP(int,int,bit0,pls) = pls,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_123_Bit0__Pls) ).

fof(fact_1590_succ__Pls,axiom,
    hAPP(int,int,succ,pls) = hAPP(int,int,bit1,pls),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1590_succ__Pls) ).

fof(fact_1593_succ__def,axiom,
    ! [X19] : hAPP(int,int,succ,X19) = hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),X19),one_one(int)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1593_succ__def) ).

fof(tsy_c_hAPP_res,axiom,
    ! [X3,X1,X4,X5] : ti(X3,hAPP(X1,X3,X4,X5)) = hAPP(X1,X3,X4,X5),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tsy_c_hAPP_res) ).

fof(fact_2899_pred__Bit0,axiom,
    ! [X19] : hAPP(int,int,pred,hAPP(int,int,bit0,X19)) = hAPP(int,int,bit1,hAPP(int,int,pred,X19)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_2899_pred__Bit0) ).

fof(fact_1592_succ__Bit1,axiom,
    ! [X19] : hAPP(int,int,succ,hAPP(int,int,bit1,X19)) = hAPP(int,int,bit0,hAPP(int,int,succ,X19)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1592_succ__Bit1) ).

fof(fact_125_mult__Bit0,axiom,
    ! [X19,X52] : hAPP(int,int,hAPP(int,fun(int,int),times_times(int),hAPP(int,int,bit0,X19)),X52) = hAPP(int,int,bit0,hAPP(int,int,hAPP(int,fun(int,int),times_times(int),X19),X52)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_125_mult__Bit0) ).

fof(fact_1591_succ__Bit0,axiom,
    ! [X19] : hAPP(int,int,succ,hAPP(int,int,bit0,X19)) = hAPP(int,int,bit1,X19),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1591_succ__Bit0) ).

fof(help_fTrue_1_1_U,axiom,
    hBOOL(fTrue),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_fTrue_1_1_U) ).

fof(fact_1568_xt1_I12_J,axiom,
    ! [X1] :
      ( order(X1)
     => ! [X8,X9] :
          ( ti(X1,X8) != ti(X1,X9)
         => ( hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),X9),X8))
           => hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X9),X8)) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1568_xt1_I12_J) ).

fof(tsy_v_t_____res,axiom,
    ti(int,t) = t,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tsy_v_t_____res) ).

fof(fact_2__0961_A_060_At_A_061_061_062_AEX_Ax_Ay_O_Ax_A_094_A2_A_L_Ay_A_094_A2_A_06,axiom,
    ( hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),one_one(int)),t))
   => ? [X6,X7] : hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),hAPP(nat,int,hAPP(int,fun(nat,int),power_power(int),X6),hAPP(int,nat,number_number_of(nat),hAPP(int,int,bit0,hAPP(int,int,bit1,pls))))),hAPP(nat,int,hAPP(int,fun(nat,int),power_power(int),X7),hAPP(int,nat,number_number_of(nat),hAPP(int,int,bit0,hAPP(int,int,bit1,pls))))) = hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),hAPP(int,int,hAPP(int,fun(int,int),times_times(int),hAPP(int,int,number_number_of(int),hAPP(int,int,bit0,hAPP(int,int,bit0,hAPP(int,int,bit1,pls))))),m)),one_one(int)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_2__0961_A_060_At_A_061_061_062_AEX_Ax_Ay_O_Ax_A_094_A2_A_L_Ay_A_094_A2_A_06) ).

fof(help_fNot_2_1_U,axiom,
    ! [X228] :
      ( hBOOL(hAPP(bool,bool,fNot,X228))
      | hBOOL(X228) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_fNot_2_1_U) ).

fof(fact_1__096t_A_061_A1_A_061_061_062_AEX_Ax_Ay_O_Ax_A_094_A2_A_L_Ay_A_094_A2_A_06,axiom,
    ( t = one_one(int)
   => ? [X6,X7] : hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),hAPP(nat,int,hAPP(int,fun(nat,int),power_power(int),X6),hAPP(int,nat,number_number_of(nat),hAPP(int,int,bit0,hAPP(int,int,bit1,pls))))),hAPP(nat,int,hAPP(int,fun(nat,int),power_power(int),X7),hAPP(int,nat,number_number_of(nat),hAPP(int,int,bit0,hAPP(int,int,bit1,pls))))) = hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),hAPP(int,int,hAPP(int,fun(int,int),times_times(int),hAPP(int,int,number_number_of(int),hAPP(int,int,bit0,hAPP(int,int,bit0,hAPP(int,int,bit1,pls))))),m)),one_one(int)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1__096t_A_061_A1_A_061_061_062_AEX_Ax_Ay_O_Ax_A_094_A2_A_L_Ay_A_094_A2_A_06) ).

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

fof(fact_0_tpos,axiom,
    hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),one_one(int)),t)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_0_tpos) ).

fof(arity_Int_Oint___Orderings_Oorder,axiom,
    order(int),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arity_Int_Oint___Orderings_Oorder) ).

fof(c_0_29,plain,
    ! [X7301] : hAPP(int,int,succ,hAPP(int,int,pred,X7301)) = ti(int,X7301),
    inference(variable_rename,[status(thm)],[fact_2897_succ__pred]) ).

fof(c_0_30,plain,
    ! [X13980,X13981] : hAPP(X13980,X13980,combi(X13980),X13981) = ti(X13980,X13981),
    inference(variable_rename,[status(thm)],[help_COMBI_1_1_U]) ).

fof(c_0_31,plain,
    ! [X594] : hAPP(int,int,number_number_of(int),X594) = ti(int,X594),
    inference(variable_rename,[status(thm)],[fact_89_number__of__is__id]) ).

fof(c_0_32,plain,
    ! [X677] : hAPP(int,int,hAPP(int,fun(int,int),times_times(int),one_one(int)),X677) = ti(int,X677),
    inference(variable_rename,[status(thm)],[fact_131_zmult__1]) ).

cnf(c_0_33,plain,
    hAPP(int,int,succ,hAPP(int,int,pred,X1)) = ti(int,X1),
    inference(split_conjunct,[status(thm)],[c_0_29]) ).

cnf(c_0_34,plain,
    hAPP(X1,X1,combi(X1),X2) = ti(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_30]) ).

cnf(c_0_35,plain,
    hAPP(int,int,number_number_of(int),X1) = ti(int,X1),
    inference(split_conjunct,[status(thm)],[c_0_31]) ).

fof(c_0_36,plain,
    ! [X228] :
      ( ~ hBOOL(X228)
      | ~ hBOOL(hAPP(bool,bool,fNot,X228)) ),
    inference(fof_simplification,[status(thm)],[help_fNot_1_1_U]) ).

fof(c_0_37,plain,
    ! [X384,X385,X386,X387] : hAPP(X384,X385,X386,ti(X384,X387)) = hAPP(X384,X385,X386,X387),
    inference(variable_rename,[status(thm)],[tsy_c_hAPP_arg2]) ).

cnf(c_0_38,plain,
    hAPP(int,int,hAPP(int,fun(int,int),times_times(int),one_one(int)),X1) = ti(int,X1),
    inference(split_conjunct,[status(thm)],[c_0_32]) ).

cnf(c_0_39,plain,
    hAPP(int,int,succ,hAPP(int,int,pred,X1)) = hAPP(int,int,combi(int),X1),
    inference(rw,[status(thm)],[c_0_33,c_0_34]) ).

cnf(c_0_40,plain,
    hAPP(int,int,number_number_of(int),X1) = hAPP(int,int,combi(int),X1),
    inference(rw,[status(thm)],[c_0_35,c_0_34]) ).

fof(c_0_41,plain,
    ! [X7302] : hAPP(int,int,pred,hAPP(int,int,bit1,X7302)) = hAPP(int,int,bit0,X7302),
    inference(variable_rename,[status(thm)],[fact_2898_pred__Bit1]) ).

cnf(c_0_42,hypothesis,
    ti(int,m) = m,
    inference(split_conjunct,[status(thm)],[tsy_v_m_res]) ).

fof(c_0_43,plain,
    ! [X13966] :
      ( ~ hBOOL(X13966)
      | ~ hBOOL(hAPP(bool,bool,fNot,X13966)) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_36])]) ).

cnf(c_0_44,plain,
    hAPP(X1,X2,X3,ti(X1,X4)) = hAPP(X1,X2,X3,X4),
    inference(split_conjunct,[status(thm)],[c_0_37]) ).

fof(c_0_45,plain,
    ! [X13962] :
      ( ti(bool,X13962) = fFalse
      | ti(bool,X13962) = fTrue ),
    inference(variable_rename,[status(thm)],[help_If_3_1_T]) ).

fof(c_0_46,negated_conjecture,
    ~ ? [X6,X7] : hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),hAPP(nat,int,hAPP(int,fun(nat,int),power_power(int),X6),hAPP(int,nat,number_number_of(nat),hAPP(int,int,bit0,hAPP(int,int,bit1,pls))))),hAPP(nat,int,hAPP(int,fun(nat,int),power_power(int),X7),hAPP(int,nat,number_number_of(nat),hAPP(int,int,bit0,hAPP(int,int,bit1,pls))))) = hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),hAPP(int,int,hAPP(int,fun(int,int),times_times(int),hAPP(int,int,number_number_of(int),hAPP(int,int,bit0,hAPP(int,int,bit0,hAPP(int,int,bit1,pls))))),m)),one_one(int)),
    inference(assume_negation,[status(cth)],[conj_0]) ).

fof(c_0_47,plain,
    ! [X3357] : hAPP(int,nat,number_number_of(nat),X3357) = hAPP(int,nat,nat_1,hAPP(int,int,number_number_of(int),X3357)),
    inference(variable_rename,[status(thm)],[fact_1128_nat__number__of__def]) ).

cnf(c_0_48,plain,
    hAPP(int,int,hAPP(int,fun(int,int),times_times(int),one_one(int)),X1) = hAPP(int,int,combi(int),X1),
    inference(rw,[status(thm)],[c_0_38,c_0_34]) ).

cnf(c_0_49,plain,
    one_one(int) = hAPP(int,int,number_number_of(int),hAPP(int,int,bit1,pls)),
    inference(split_conjunct,[status(thm)],[fact_161_one__is__num__one]) ).

cnf(c_0_50,plain,
    hAPP(int,int,number_number_of(int),X1) = hAPP(int,int,succ,hAPP(int,int,pred,X1)),
    inference(rw,[status(thm)],[c_0_39,c_0_40]) ).

cnf(c_0_51,plain,
    hAPP(int,int,pred,hAPP(int,int,bit1,X1)) = hAPP(int,int,bit0,X1),
    inference(split_conjunct,[status(thm)],[c_0_41]) ).

cnf(c_0_52,plain,
    hAPP(int,int,bit0,pls) = pls,
    inference(split_conjunct,[status(thm)],[fact_123_Bit0__Pls]) ).

cnf(c_0_53,plain,
    hAPP(int,int,succ,pls) = hAPP(int,int,bit1,pls),
    inference(split_conjunct,[status(thm)],[fact_1590_succ__Pls]) ).

cnf(c_0_54,hypothesis,
    hAPP(int,int,combi(int),m) = m,
    inference(rw,[status(thm)],[c_0_42,c_0_34]) ).

fof(c_0_55,plain,
    ! [X4399] : hAPP(int,int,succ,X4399) = hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),X4399),one_one(int)),
    inference(variable_rename,[status(thm)],[fact_1593_succ__def]) ).

fof(c_0_56,plain,
    ! [X388,X389,X390,X391] : ti(X388,hAPP(X389,X388,X390,X391)) = hAPP(X389,X388,X390,X391),
    inference(variable_rename,[status(thm)],[tsy_c_hAPP_res]) ).

cnf(c_0_57,plain,
    ( ~ hBOOL(X1)
    | ~ hBOOL(hAPP(bool,bool,fNot,X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_43]) ).

cnf(c_0_58,plain,
    hAPP(X1,X2,X3,hAPP(X1,X1,combi(X1),X4)) = hAPP(X1,X2,X3,X4),
    inference(rw,[status(thm)],[c_0_44,c_0_34]) ).

cnf(c_0_59,plain,
    ( ti(bool,X1) = fFalse
    | ti(bool,X1) = fTrue ),
    inference(split_conjunct,[status(thm)],[c_0_45]) ).

fof(c_0_60,negated_conjecture,
    ! [X14018,X14019] : hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),hAPP(nat,int,hAPP(int,fun(nat,int),power_power(int),X14018),hAPP(int,nat,number_number_of(nat),hAPP(int,int,bit0,hAPP(int,int,bit1,pls))))),hAPP(nat,int,hAPP(int,fun(nat,int),power_power(int),X14019),hAPP(int,nat,number_number_of(nat),hAPP(int,int,bit0,hAPP(int,int,bit1,pls))))) != hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),hAPP(int,int,hAPP(int,fun(int,int),times_times(int),hAPP(int,int,number_number_of(int),hAPP(int,int,bit0,hAPP(int,int,bit0,hAPP(int,int,bit1,pls))))),m)),one_one(int)),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_46])])]) ).

cnf(c_0_61,plain,
    hAPP(int,nat,number_number_of(nat),X1) = hAPP(int,nat,nat_1,hAPP(int,int,number_number_of(int),X1)),
    inference(split_conjunct,[status(thm)],[c_0_47]) ).

fof(c_0_62,plain,
    ! [X7303] : hAPP(int,int,pred,hAPP(int,int,bit0,X7303)) = hAPP(int,int,bit1,hAPP(int,int,pred,X7303)),
    inference(variable_rename,[status(thm)],[fact_2899_pred__Bit0]) ).

fof(c_0_63,plain,
    ! [X4398] : hAPP(int,int,succ,hAPP(int,int,bit1,X4398)) = hAPP(int,int,bit0,hAPP(int,int,succ,X4398)),
    inference(variable_rename,[status(thm)],[fact_1592_succ__Bit1]) ).

fof(c_0_64,plain,
    ! [X669,X670] : hAPP(int,int,hAPP(int,fun(int,int),times_times(int),hAPP(int,int,bit0,X669)),X670) = hAPP(int,int,bit0,hAPP(int,int,hAPP(int,fun(int,int),times_times(int),X669),X670)),
    inference(variable_rename,[status(thm)],[fact_125_mult__Bit0]) ).

cnf(c_0_65,plain,
    hAPP(int,int,hAPP(int,fun(int,int),times_times(int),one_one(int)),X1) = hAPP(int,int,number_number_of(int),X1),
    inference(rw,[status(thm)],[c_0_48,c_0_40]) ).

cnf(c_0_66,plain,
    one_one(int) = hAPP(int,int,bit1,pls),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_49,c_0_50]),c_0_51]),c_0_52]),c_0_53]) ).

cnf(c_0_67,hypothesis,
    hAPP(int,int,number_number_of(int),m) = m,
    inference(rw,[status(thm)],[c_0_54,c_0_40]) ).

cnf(c_0_68,plain,
    hAPP(int,int,succ,X1) = hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),X1),one_one(int)),
    inference(split_conjunct,[status(thm)],[c_0_55]) ).

fof(c_0_69,plain,
    ! [X4397] : hAPP(int,int,succ,hAPP(int,int,bit0,X4397)) = hAPP(int,int,bit1,X4397),
    inference(variable_rename,[status(thm)],[fact_1591_succ__Bit0]) ).

cnf(c_0_70,plain,
    ti(X1,hAPP(X2,X1,X3,X4)) = hAPP(X2,X1,X3,X4),
    inference(split_conjunct,[status(thm)],[c_0_56]) ).

cnf(c_0_71,plain,
    ( ~ hBOOL(hAPP(bool,bool,fNot,X1))
    | ~ hBOOL(hAPP(bool,bool,combi(bool),X1)) ),
    inference(spm,[status(thm)],[c_0_57,c_0_58]) ).

cnf(c_0_72,plain,
    ( hAPP(bool,bool,combi(bool),X1) = fTrue
    | hAPP(bool,bool,combi(bool),X1) = fFalse ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_59,c_0_34]),c_0_34]) ).

cnf(c_0_73,plain,
    hBOOL(fTrue),
    inference(split_conjunct,[status(thm)],[help_fTrue_1_1_U]) ).

fof(c_0_74,plain,
    ! [X1] :
      ( order(X1)
     => ! [X8,X9] :
          ( ti(X1,X8) != ti(X1,X9)
         => ( hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),X9),X8))
           => hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X9),X8)) ) ) ),
    inference(fof_simplification,[status(thm)],[fact_1568_xt1_I12_J]) ).

cnf(c_0_75,plain,
    ti(int,t) = t,
    inference(split_conjunct,[status(thm)],[tsy_v_t_____res]) ).

fof(c_0_76,plain,
    ( hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),hAPP(nat,int,hAPP(int,fun(nat,int),power_power(int),esk3_0),hAPP(int,nat,number_number_of(nat),hAPP(int,int,bit0,hAPP(int,int,bit1,pls))))),hAPP(nat,int,hAPP(int,fun(nat,int),power_power(int),esk4_0),hAPP(int,nat,number_number_of(nat),hAPP(int,int,bit0,hAPP(int,int,bit1,pls))))) = hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),hAPP(int,int,hAPP(int,fun(int,int),times_times(int),hAPP(int,int,number_number_of(int),hAPP(int,int,bit0,hAPP(int,int,bit0,hAPP(int,int,bit1,pls))))),m)),one_one(int))
    | ~ hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),one_one(int)),t)) ),
    inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_2__0961_A_060_At_A_061_061_062_AEX_Ax_Ay_O_Ax_A_094_A2_A_L_Ay_A_094_A2_A_06])])])]) ).

cnf(c_0_77,negated_conjecture,
    hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),hAPP(nat,int,hAPP(int,fun(nat,int),power_power(int),X1),hAPP(int,nat,number_number_of(nat),hAPP(int,int,bit0,hAPP(int,int,bit1,pls))))),hAPP(nat,int,hAPP(int,fun(nat,int),power_power(int),X2),hAPP(int,nat,number_number_of(nat),hAPP(int,int,bit0,hAPP(int,int,bit1,pls))))) != hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),hAPP(int,int,hAPP(int,fun(int,int),times_times(int),hAPP(int,int,number_number_of(int),hAPP(int,int,bit0,hAPP(int,int,bit0,hAPP(int,int,bit1,pls))))),m)),one_one(int)),
    inference(split_conjunct,[status(thm)],[c_0_60]) ).

cnf(c_0_78,plain,
    hAPP(int,nat,number_number_of(nat),X1) = hAPP(int,nat,nat_1,hAPP(int,int,succ,hAPP(int,int,pred,X1))),
    inference(rw,[status(thm)],[c_0_61,c_0_50]) ).

cnf(c_0_79,plain,
    hAPP(int,int,pred,hAPP(int,int,bit0,X1)) = hAPP(int,int,bit1,hAPP(int,int,pred,X1)),
    inference(split_conjunct,[status(thm)],[c_0_62]) ).

cnf(c_0_80,plain,
    hAPP(int,int,succ,hAPP(int,int,bit1,X1)) = hAPP(int,int,bit0,hAPP(int,int,succ,X1)),
    inference(split_conjunct,[status(thm)],[c_0_63]) ).

cnf(c_0_81,plain,
    hAPP(int,int,hAPP(int,fun(int,int),times_times(int),hAPP(int,int,bit0,X1)),X2) = hAPP(int,int,bit0,hAPP(int,int,hAPP(int,fun(int,int),times_times(int),X1),X2)),
    inference(split_conjunct,[status(thm)],[c_0_64]) ).

cnf(c_0_82,plain,
    hAPP(int,int,hAPP(int,fun(int,int),times_times(int),hAPP(int,int,bit1,pls)),X1) = hAPP(int,int,succ,hAPP(int,int,pred,X1)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_65,c_0_50]),c_0_66]) ).

cnf(c_0_83,hypothesis,
    hAPP(int,int,succ,hAPP(int,int,pred,m)) = m,
    inference(rw,[status(thm)],[c_0_67,c_0_50]) ).

cnf(c_0_84,plain,
    hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),X1),hAPP(int,int,bit1,pls)) = hAPP(int,int,succ,X1),
    inference(rw,[status(thm)],[c_0_68,c_0_66]) ).

cnf(c_0_85,plain,
    hAPP(int,int,succ,hAPP(int,int,bit0,X1)) = hAPP(int,int,bit1,X1),
    inference(split_conjunct,[status(thm)],[c_0_69]) ).

cnf(c_0_86,plain,
    hAPP(X1,X1,combi(X1),hAPP(X2,X1,X3,X4)) = hAPP(X2,X1,X3,X4),
    inference(rw,[status(thm)],[c_0_70,c_0_34]) ).

cnf(c_0_87,plain,
    ( ~ hBOOL(hAPP(bool,bool,fNot,X1))
    | hAPP(bool,bool,combi(bool),X1) = fFalse ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_72]),c_0_73])]) ).

fof(c_0_88,plain,
    ! [X13967] :
      ( hBOOL(hAPP(bool,bool,fNot,X13967))
      | hBOOL(X13967) ),
    inference(variable_rename,[status(thm)],[help_fNot_2_1_U]) ).

fof(c_0_89,plain,
    ! [X4331,X4332,X4333] :
      ( hBOOL(hAPP(X4331,bool,hAPP(X4331,fun(X4331,bool),ord_less(X4331),X4333),X4332))
      | ~ hBOOL(hAPP(X4331,bool,hAPP(X4331,fun(X4331,bool),ord_less_eq(X4331),X4333),X4332))
      | ti(X4331,X4332) = ti(X4331,X4333)
      | ~ order(X4331) ),
    inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_74])])])]) ).

cnf(c_0_90,plain,
    hAPP(int,int,combi(int),t) = t,
    inference(rw,[status(thm)],[c_0_75,c_0_34]) ).

cnf(c_0_91,plain,
    ( ~ hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),one_one(int)),t))
    | hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),hAPP(nat,int,hAPP(int,fun(nat,int),power_power(int),esk3_0),hAPP(int,nat,number_number_of(nat),hAPP(int,int,bit0,hAPP(int,int,bit1,pls))))),hAPP(nat,int,hAPP(int,fun(nat,int),power_power(int),esk4_0),hAPP(int,nat,number_number_of(nat),hAPP(int,int,bit0,hAPP(int,int,bit1,pls))))) = hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),hAPP(int,int,hAPP(int,fun(int,int),times_times(int),hAPP(int,int,number_number_of(int),hAPP(int,int,bit0,hAPP(int,int,bit0,hAPP(int,int,bit1,pls))))),m)),one_one(int)) ),
    inference(split_conjunct,[status(thm)],[c_0_76]) ).

cnf(c_0_92,negated_conjecture,
    hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),hAPP(nat,int,hAPP(int,fun(nat,int),power_power(int),X1),hAPP(int,nat,nat_1,hAPP(int,int,bit0,hAPP(int,int,bit1,pls))))),hAPP(nat,int,hAPP(int,fun(nat,int),power_power(int),X2),hAPP(int,nat,nat_1,hAPP(int,int,bit0,hAPP(int,int,bit1,pls))))) != hAPP(int,int,bit1,hAPP(int,int,bit0,m)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_77,c_0_78]),c_0_79]),c_0_51]),c_0_52]),c_0_80]),c_0_53]),c_0_78]),c_0_79]),c_0_51]),c_0_52]),c_0_80]),c_0_53]),c_0_50]),c_0_79]),c_0_79]),c_0_51]),c_0_52]),c_0_80]),c_0_80]),c_0_53]),c_0_81]),c_0_81]),c_0_82]),c_0_83]),c_0_66]),c_0_84]),c_0_85]) ).

cnf(c_0_93,plain,
    ( ~ hBOOL(hAPP(bool,bool,fNot,hAPP(X1,bool,X2,X3)))
    | hAPP(X1,bool,X2,X3) = fFalse ),
    inference(spm,[status(thm)],[c_0_86,c_0_87]) ).

cnf(c_0_94,plain,
    ( hBOOL(hAPP(bool,bool,fNot,X1))
    | hBOOL(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_88]) ).

fof(c_0_95,plain,
    ( hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),hAPP(nat,int,hAPP(int,fun(nat,int),power_power(int),esk1_0),hAPP(int,nat,number_number_of(nat),hAPP(int,int,bit0,hAPP(int,int,bit1,pls))))),hAPP(nat,int,hAPP(int,fun(nat,int),power_power(int),esk2_0),hAPP(int,nat,number_number_of(nat),hAPP(int,int,bit0,hAPP(int,int,bit1,pls))))) = hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),hAPP(int,int,hAPP(int,fun(int,int),times_times(int),hAPP(int,int,number_number_of(int),hAPP(int,int,bit0,hAPP(int,int,bit0,hAPP(int,int,bit1,pls))))),m)),one_one(int))
    | t != one_one(int) ),
    inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_1__096t_A_061_A1_A_061_061_062_AEX_Ax_Ay_O_Ax_A_094_A2_A_L_Ay_A_094_A2_A_06])])])]) ).

fof(c_0_96,plain,
    ~ hBOOL(fFalse),
    inference(fof_simplification,[status(thm)],[help_fFalse_1_1_U]) ).

cnf(c_0_97,plain,
    ( ~ hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),X3),X2))
    | ~ order(X1)
    | hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X3),X2))
    | ti(X1,X2) = ti(X1,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_89]) ).

cnf(c_0_98,plain,
    hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),one_one(int)),t)),
    inference(split_conjunct,[status(thm)],[fact_0_tpos]) ).

cnf(c_0_99,plain,
    hAPP(int,int,number_number_of(int),t) = t,
    inference(rw,[status(thm)],[c_0_90,c_0_40]) ).

cnf(c_0_100,plain,
    ~ hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),hAPP(int,int,bit1,pls)),t)),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_91,c_0_78]),c_0_79]),c_0_51]),c_0_52]),c_0_80]),c_0_53]),c_0_78]),c_0_79]),c_0_51]),c_0_52]),c_0_80]),c_0_53]),c_0_50]),c_0_79]),c_0_79]),c_0_51]),c_0_52]),c_0_80]),c_0_80]),c_0_53]),c_0_81]),c_0_81]),c_0_82]),c_0_83]),c_0_66]),c_0_84]),c_0_85]),c_0_66]),c_0_92]) ).

cnf(c_0_101,plain,
    ( hBOOL(hAPP(X1,bool,X2,X3))
    | hAPP(X1,bool,X2,X3) = fFalse ),
    inference(spm,[status(thm)],[c_0_93,c_0_94]) ).

cnf(c_0_102,plain,
    ( t != one_one(int)
    | hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),hAPP(nat,int,hAPP(int,fun(nat,int),power_power(int),esk1_0),hAPP(int,nat,number_number_of(nat),hAPP(int,int,bit0,hAPP(int,int,bit1,pls))))),hAPP(nat,int,hAPP(int,fun(nat,int),power_power(int),esk2_0),hAPP(int,nat,number_number_of(nat),hAPP(int,int,bit0,hAPP(int,int,bit1,pls))))) = hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),hAPP(int,int,hAPP(int,fun(int,int),times_times(int),hAPP(int,int,number_number_of(int),hAPP(int,int,bit0,hAPP(int,int,bit0,hAPP(int,int,bit1,pls))))),m)),one_one(int)) ),
    inference(split_conjunct,[status(thm)],[c_0_95]) ).

fof(c_0_103,plain,
    ~ hBOOL(fFalse),
    inference(fof_nnf,[status(thm)],[c_0_96]) ).

cnf(c_0_104,plain,
    ( ~ hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),X3),X2))
    | ~ order(X1)
    | hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X3),X2))
    | hAPP(X1,X1,combi(X1),X2) = hAPP(X1,X1,combi(X1),X3) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_97,c_0_34]),c_0_34]) ).

cnf(c_0_105,plain,
    hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),hAPP(int,int,bit1,pls)),t)),
    inference(rw,[status(thm)],[c_0_98,c_0_66]) ).

cnf(c_0_106,plain,
    hAPP(int,int,succ,hAPP(int,int,pred,t)) = t,
    inference(rw,[status(thm)],[c_0_99,c_0_50]) ).

cnf(c_0_107,plain,
    hAPP(int,int,combi(int),X1) = hAPP(int,int,succ,hAPP(int,int,pred,X1)),
    inference(rw,[status(thm)],[c_0_40,c_0_50]) ).

cnf(c_0_108,plain,
    hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),hAPP(int,int,bit1,pls)),t) = fFalse,
    inference(spm,[status(thm)],[c_0_100,c_0_101]) ).

cnf(c_0_109,plain,
    order(int),
    inference(split_conjunct,[status(thm)],[arity_Int_Oint___Orderings_Oorder]) ).

cnf(c_0_110,plain,
    hAPP(int,int,bit1,pls) != t,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_102,c_0_78]),c_0_79]),c_0_51]),c_0_52]),c_0_80]),c_0_53]),c_0_78]),c_0_79]),c_0_51]),c_0_52]),c_0_80]),c_0_53]),c_0_50]),c_0_79]),c_0_79]),c_0_51]),c_0_52]),c_0_80]),c_0_80]),c_0_53]),c_0_81]),c_0_81]),c_0_82]),c_0_83]),c_0_66]),c_0_84]),c_0_85]),c_0_66]),c_0_92]) ).

cnf(c_0_111,plain,
    ~ hBOOL(fFalse),
    inference(split_conjunct,[status(thm)],[c_0_103]) ).

cnf(c_0_112,plain,
    $false,
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_104,c_0_105]),c_0_40]),c_0_50]),c_0_106]),c_0_107]),c_0_51]),c_0_52]),c_0_53]),c_0_108]),c_0_109])]),c_0_110]),c_0_111]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : NUM926+8 : TPTP v9.3.1. Released v5.3.0.
% 0.00/0.05  % Command  : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.36  % Computer : n004.cluster.edu
% 0.09/0.36  % Model    : x86_64 x86_64
% 0.09/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36  % Memory   : 8046.5625MB
% 0.09/0.36  % OS       : Linux 6.8.0-71-generic
% 0.09/0.36  % CPULimit : 300
% 0.09/0.36  % WCLimit  : 300
% 0.09/0.36  % DateTime : Mon Sep 21 03:18:20 UTC 2026
% 0.09/0.36  % CPUTime  : 
% 0.09/0.36  Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.41  Running first-order theorem proving
% 0.09/0.41  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
% 233.81/35.39  % Version: 3.5.1
% 233.81/35.39  % Preprocessing class: FMLMSMSLSSSNFFN.
% 233.81/35.39  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 233.81/35.39  % Starting G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 900s (3) cores
% 233.81/35.39  % Starting new_bool_3 with 600s (2) cores
% 233.81/35.39  % Starting new_bool_1 with 600s (2) cores
% 233.81/35.39  % Starting sh5l with 300s (1) cores
% 233.81/35.39  % G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with pid 2131665 completed with status 0
% 233.81/35.39  % Result found by G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 233.81/35.39  % Preprocessing class: FMLMSMSLSSSNFFN.
% 233.81/35.39  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 233.81/35.39  % Starting G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 900s (3) cores
% 233.81/35.39  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 233.81/35.39  % No SInE strategy applied
% 233.81/35.39  % Search class: FGHSM-SMLM33-DFFFFFNN
% 233.81/35.39  % Scheduled 7 strats onto 3 cores with 899 seconds (899 total)
% 233.81/35.39  % Starting SubtermCWHack with 81s (1) cores
% 233.81/35.39  % Starting G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 90s (1) cores
% 233.81/35.39  % Starting U----_206e_00_B11_00_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN with 81s (1) cores
% 233.81/35.39  % G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with pid 2131682 completed with status 0
% 233.81/35.39  % Result found by G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 233.81/35.39  % Preprocessing class: FMLMSMSLSSSNFFN.
% 233.81/35.39  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 233.81/35.39  % Starting G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 900s (3) cores
% 233.81/35.39  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 233.81/35.39  % No SInE strategy applied
% 233.81/35.39  % Search class: FGHSM-SMLM33-DFFFFFNN
% 233.81/35.39  % Scheduled 7 strats onto 3 cores with 899 seconds (899 total)
% 233.81/35.39  % Starting SubtermCWHack with 81s (1) cores
% 233.81/35.39  % Starting G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 90s (1) cores
% 233.81/35.39  % Preprocessing time       : 0.493 s
% 233.81/35.39  % Presaturation interreduction done
% 233.81/35.39  
% 233.81/35.39  % Proof found!
% 233.81/35.39  % SZS status Theorem
% 233.81/35.39  % SZS output start CNFRefutation
% See solution above
% 233.81/35.39  % Parsed axioms                        : 5738
% 233.81/35.39  % Removed by relevancy pruning/SinE    : 0
% 233.81/35.39  % Initial clauses                      : 8670
% 233.81/35.39  % Removed in clause preprocessing      : 213
% 233.81/35.39  % Initial clauses in saturation        : 8457
% 233.81/35.39  % Processed clauses                    : 36493
% 233.81/35.39  % ...of these trivial                  : 606
% 233.81/35.39  % ...subsumed                          : 21486
% 233.81/35.39  % ...remaining for further processing  : 14401
% 233.81/35.39  % Other redundant clauses eliminated   : 1667
% 233.81/35.39  % Clauses deleted for lack of memory   : 0
% 233.81/35.39  % Backward-subsumed                    : 615
% 233.81/35.39  % Backward-rewritten                   : 436
% 233.81/35.39  % Generated clauses                    : 134278
% 233.81/35.39  % ...of the previous two non-redundant : 116823
% 233.81/35.39  % ...aggressively subsumed             : 0
% 233.81/35.39  % Contextual simplify-reflections      : 51
% 233.81/35.39  % Paramodulations                      : 132584
% 233.81/35.39  % Factorizations                       : 11
% 233.81/35.39  % NegExts                              : 0
% 233.81/35.39  % Equation resolutions                 : 1704
% 233.81/35.39  % Disequality decompositions           : 0
% 233.81/35.39  % Total rewrite steps                  : 146295
% 233.81/35.39  % ...of those cached                   : 134441
% 233.81/35.39  % Propositional unsat checks           : 3
% 233.81/35.39  %    Propositional check models        : 2
% 233.81/35.39  %    Propositional check unsatisfiable : 0
% 233.81/35.39  %    Propositional clauses             : 0
% 233.81/35.39  %    Propositional clauses after purity: 0
% 233.81/35.39  %    Propositional unsat core size     : 0
% 233.81/35.39  %    Propositional preprocessing time  : 0.000
% 233.81/35.39  %    Propositional encoding time       : 0.300
% 233.81/35.39  %    Propositional solver time         : 0.118
% 233.81/35.39  %    Success case prop preproc time    : 0.000
% 233.81/35.39  %    Success case prop encoding time   : 0.000
% 233.81/35.39  %    Success case prop solver time     : 0.000
% 233.81/35.39  % Current number of processed clauses  : 5840
% 233.81/35.39  %    Positive orientable unit clauses  : 1952
% 233.81/35.39  %    Positive unorientable unit clauses: 49
% 233.81/35.39  %    Negative unit clauses             : 475
% 233.81/35.39  %    Non-unit-clauses                  : 3364
% 233.81/35.39  % Current number of unprocessed clauses: 95161
% 233.81/35.39  % ...number of literals in the above   : 225090
% 233.81/35.39  % Current number of archived formulas  : 0
% 233.81/35.39  % Current number of archived clauses   : 8256
% 233.81/35.39  % Clause-clause subsumption calls (NU) : 9692771
% 233.81/35.39  % Rec. Clause-clause subsumption calls : 2184676
% 233.81/35.39  % Non-unit clause-clause subsumptions  : 7432
% 233.81/35.39  % Unit Clause-clause subsumption calls : 52248
% 233.81/35.39  % Rewrite failures with RHS unbound    : 0
% 233.81/35.39  % BW rewrite match attempts            : 488850
% 233.81/35.39  % BW rewrite match successes           : 1380
% 233.81/35.39  % Condensation attempts                : 0
% 233.81/35.39  % Condensation successes               : 0
% 233.81/35.39  % Termbank termtop insertions          : 8975428
% 233.81/35.39  % Search garbage collected termcells   : 114944
% 233.81/35.39  
% 233.81/35.39  % -------------------------------------------------
% 233.81/35.39  % User time                : 31.271 s
% 233.81/35.39  % System time              : 0.483 s
% 233.81/35.39  % Total time               : 31.754 s
% 233.81/35.39  % Maximum resident set size: 45340 pages
% 233.81/35.39  
% 233.81/35.39  % -------------------------------------------------
% 233.81/35.39  % User time                : 94.909 s
% 233.81/35.39  % System time              : 1.669 s
% 233.81/35.39  % Total time               : 96.578 s
% 233.81/35.39  % Maximum resident set size: 12800 pages
% 233.81/35.39  % E exiting
%------------------------------------------------------------------------------