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

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%------------------------------------------------------------------------------
% File     : E-SAT---3.5.1
% Problem  : NUM925+7 : 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 01:56:58 PM UTC 2026

% Result   : Theorem 6.87s 1.60s
% Output   : CNFRefutation 6.87s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :   22
% Syntax   : Number of formulae    :   88 (  81 unt;   0 def)
%            Number of atoms       :  101 (  79 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   31 (  18   ~;   7   |;   1   &)
%                                         (   1 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   2 avg)
%            Maximal term depth    :    6 (   2 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :   21 (  21 usr;   6 con; 0-4 aty)
%            Number of variables   :   71 (   1 sgn  40   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(fact_514_succ__Bit0,axiom,
    ! [X20] : succ(bit0(X20)) = bit1(X20),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_514_succ__Bit0) ).

fof(fact_78_Bit0__def,axiom,
    ! [X20] : bit0(X20) = plus_plus(int,X20,X20),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_78_Bit0__def) ).

fof(fact_777_diff__bin__simps_I2_J,axiom,
    ! [X20] : minus_minus(int,X20,min) = succ(X20),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_777_diff__bin__simps_I2_J) ).

fof(fact_590_diff__bin__simps_I1_J,axiom,
    ! [X20] : minus_minus(int,X20,pls) = ti(int,X20),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_590_diff__bin__simps_I1_J) ).

fof(fact_120_number__of__is__id,axiom,
    ! [X20] : number_number_of(int,X20) = ti(int,X20),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_120_number__of__is__id) ).

fof(fact_37_one__is__num__one,axiom,
    one_one(int) = number_number_of(int,bit1(pls)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_37_one__is__num__one) ).

fof(fact_72_Bit0__Pls,axiom,
    bit0(pls) = pls,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_72_Bit0__Pls) ).

fof(fact_75_add__Pls__right,axiom,
    ! [X20] : plus_plus(int,X20,pls) = ti(int,X20),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_75_add__Pls__right) ).

fof(fact_76_add__Pls,axiom,
    ! [X20] : plus_plus(int,pls,X20) = ti(int,X20),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_76_add__Pls) ).

fof(tsy_c_Int_Osucc_res,axiom,
    ! [X1] : ti(int,succ(X1)) = succ(X1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tsy_c_Int_Osucc_res) ).

fof(tsy_c_Int_Onat_arg1,axiom,
    ! [X1] : nat_1(ti(int,X1)) = nat_1(X1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tsy_c_Int_Onat_arg1) ).

fof(conj_0,conjecture,
    hAPP(nat,int,power_power(int,plus_plus(int,one_one(int),hAPP(nat,int,semiring_1_of_nat(int),n))),number_number_of(nat,bit0(bit1(pls)))) != zero_zero(int),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).

fof(fact_519_succ__def,axiom,
    ! [X20] : succ(X20) = plus_plus(int,X20,one_one(int)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_519_succ__def) ).

fof(fact_427_nat__number__of__def,axiom,
    ! [X9] : number_number_of(nat,X9) = nat_1(number_number_of(int,X9)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_427_nat__number__of__def) ).

fof(fact_165_field__power__not__zero,axiom,
    ! [X2] :
      ( ring_11004092258visors(X2)
     => ! [X15,X31] :
          ( ti(X2,X31) != zero_zero(X2)
         => hAPP(nat,X2,power_power(X2,X31),X15) != zero_zero(X2) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_165_field__power__not__zero) ).

fof(fact_47_zadd__commute,axiom,
    ! [X16,X8] : plus_plus(int,X16,X8) = plus_plus(int,X8,X16),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_47_zadd__commute) ).

fof(fact_73_Pls__def,axiom,
    pls = zero_zero(int),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_73_Pls__def) ).

fof(arity_Int_Oint___Rings_Oring__1__no__zero__divisors,axiom,
    ring_11004092258visors(int),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arity_Int_Oint___Rings_Oring__1__no__zero__divisors) ).

fof(fact_117_less__not__refl,axiom,
    ! [X15] : ~ hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X15),X15)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_117_less__not__refl) ).

fof(fact_161_less__0__number__of,axiom,
    ! [X38] :
      ( hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),zero_zero(nat)),number_number_of(nat,X38)))
    <=> hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),pls),X38)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_161_less__0__number__of) ).

fof(fact_26_semiring__norm_I113_J,axiom,
    zero_zero(nat) = number_number_of(nat,pls),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_26_semiring__norm_I113_J) ).

fof(fact_0_n1pos,axiom,
    hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),zero_zero(int)),plus_plus(int,one_one(int),hAPP(nat,int,semiring_1_of_nat(int),n)))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_0_n1pos) ).

fof(c_0_22,plain,
    ! [X1582] : succ(bit0(X1582)) = bit1(X1582),
    inference(variable_rename,[status(thm)],[fact_514_succ__Bit0]) ).

fof(c_0_23,plain,
    ! [X392] : bit0(X392) = plus_plus(int,X392,X392),
    inference(variable_rename,[status(thm)],[fact_78_Bit0__def]) ).

fof(c_0_24,plain,
    ! [X2159] : minus_minus(int,X2159,min) = succ(X2159),
    inference(variable_rename,[status(thm)],[fact_777_diff__bin__simps_I2_J]) ).

fof(c_0_25,plain,
    ! [X1731] : minus_minus(int,X1731,pls) = ti(int,X1731),
    inference(variable_rename,[status(thm)],[fact_590_diff__bin__simps_I1_J]) ).

fof(c_0_26,plain,
    ! [X464] : number_number_of(int,X464) = ti(int,X464),
    inference(variable_rename,[status(thm)],[fact_120_number__of__is__id]) ).

cnf(c_0_27,plain,
    one_one(int) = number_number_of(int,bit1(pls)),
    inference(split_conjunct,[status(thm)],[fact_37_one__is__num__one]) ).

cnf(c_0_28,plain,
    succ(bit0(X1)) = bit1(X1),
    inference(split_conjunct,[status(thm)],[c_0_22]) ).

cnf(c_0_29,plain,
    bit0(X1) = plus_plus(int,X1,X1),
    inference(split_conjunct,[status(thm)],[c_0_23]) ).

cnf(c_0_30,plain,
    minus_minus(int,X1,min) = succ(X1),
    inference(split_conjunct,[status(thm)],[c_0_24]) ).

cnf(c_0_31,plain,
    bit0(pls) = pls,
    inference(split_conjunct,[status(thm)],[fact_72_Bit0__Pls]) ).

fof(c_0_32,plain,
    ! [X388] : plus_plus(int,X388,pls) = ti(int,X388),
    inference(variable_rename,[status(thm)],[fact_75_add__Pls__right]) ).

cnf(c_0_33,plain,
    minus_minus(int,X1,pls) = ti(int,X1),
    inference(split_conjunct,[status(thm)],[c_0_25]) ).

cnf(c_0_34,plain,
    number_number_of(int,X1) = ti(int,X1),
    inference(split_conjunct,[status(thm)],[c_0_26]) ).

cnf(c_0_35,plain,
    one_one(int) = number_number_of(int,minus_minus(int,plus_plus(int,pls,pls),min)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_27,c_0_28]),c_0_29]),c_0_30]) ).

cnf(c_0_36,plain,
    plus_plus(int,pls,pls) = pls,
    inference(rw,[status(thm)],[c_0_31,c_0_29]) ).

fof(c_0_37,plain,
    ! [X389] : plus_plus(int,pls,X389) = ti(int,X389),
    inference(variable_rename,[status(thm)],[fact_76_add__Pls]) ).

cnf(c_0_38,plain,
    plus_plus(int,X1,pls) = ti(int,X1),
    inference(split_conjunct,[status(thm)],[c_0_32]) ).

cnf(c_0_39,plain,
    number_number_of(int,X1) = minus_minus(int,X1,pls),
    inference(rw,[status(thm)],[c_0_33,c_0_34]) ).

fof(c_0_40,plain,
    ! [X222] : ti(int,succ(X222)) = succ(X222),
    inference(variable_rename,[status(thm)],[tsy_c_Int_Osucc_res]) ).

fof(c_0_41,plain,
    ! [X215] : nat_1(ti(int,X215)) = nat_1(X215),
    inference(variable_rename,[status(thm)],[tsy_c_Int_Onat_arg1]) ).

cnf(c_0_42,plain,
    number_number_of(int,minus_minus(int,pls,min)) = one_one(int),
    inference(rw,[status(thm)],[c_0_35,c_0_36]) ).

cnf(c_0_43,plain,
    plus_plus(int,pls,X1) = ti(int,X1),
    inference(split_conjunct,[status(thm)],[c_0_37]) ).

cnf(c_0_44,plain,
    minus_minus(int,X1,pls) = plus_plus(int,X1,pls),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_38,c_0_34]),c_0_39]) ).

cnf(c_0_45,plain,
    ti(int,succ(X1)) = succ(X1),
    inference(split_conjunct,[status(thm)],[c_0_40]) ).

cnf(c_0_46,plain,
    nat_1(ti(int,X1)) = nat_1(X1),
    inference(split_conjunct,[status(thm)],[c_0_41]) ).

fof(c_0_47,negated_conjecture,
    ~ ( hAPP(nat,int,power_power(int,plus_plus(int,one_one(int),hAPP(nat,int,semiring_1_of_nat(int),n))),number_number_of(nat,bit0(bit1(pls)))) != zero_zero(int) ),
    inference(assume_negation,[status(cth)],[conj_0]) ).

fof(c_0_48,plain,
    ! [X1590] : succ(X1590) = plus_plus(int,X1590,one_one(int)),
    inference(variable_rename,[status(thm)],[fact_519_succ__def]) ).

cnf(c_0_49,plain,
    minus_minus(int,minus_minus(int,pls,min),pls) = one_one(int),
    inference(rw,[status(thm)],[c_0_42,c_0_39]) ).

cnf(c_0_50,plain,
    plus_plus(int,X1,pls) = plus_plus(int,pls,X1),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_43,c_0_34]),c_0_39]),c_0_44]) ).

cnf(c_0_51,plain,
    ti(int,minus_minus(int,X1,min)) = minus_minus(int,X1,min),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_45,c_0_30]),c_0_30]) ).

cnf(c_0_52,plain,
    ti(int,X1) = plus_plus(int,X1,pls),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_34,c_0_39]),c_0_44]) ).

fof(c_0_53,plain,
    ! [X1348] : number_number_of(nat,X1348) = nat_1(number_number_of(int,X1348)),
    inference(variable_rename,[status(thm)],[fact_427_nat__number__of__def]) ).

cnf(c_0_54,plain,
    nat_1(number_number_of(int,X1)) = nat_1(X1),
    inference(rw,[status(thm)],[c_0_46,c_0_34]) ).

fof(c_0_55,negated_conjecture,
    hAPP(nat,int,power_power(int,plus_plus(int,one_one(int),hAPP(nat,int,semiring_1_of_nat(int),n))),number_number_of(nat,bit0(bit1(pls)))) = zero_zero(int),
    inference(fof_simplification,[status(thm)],[c_0_47]) ).

cnf(c_0_56,plain,
    succ(X1) = plus_plus(int,X1,one_one(int)),
    inference(split_conjunct,[status(thm)],[c_0_48]) ).

cnf(c_0_57,plain,
    plus_plus(int,pls,minus_minus(int,pls,min)) = one_one(int),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_49,c_0_44]),c_0_50]) ).

cnf(c_0_58,plain,
    plus_plus(int,pls,minus_minus(int,X1,min)) = minus_minus(int,X1,min),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_51,c_0_52]),c_0_50]) ).

cnf(c_0_59,plain,
    number_number_of(nat,X1) = nat_1(number_number_of(int,X1)),
    inference(split_conjunct,[status(thm)],[c_0_53]) ).

cnf(c_0_60,plain,
    nat_1(plus_plus(int,X1,pls)) = nat_1(X1),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_54,c_0_39]),c_0_44]) ).

fof(c_0_61,plain,
    ! [X2] :
      ( ring_11004092258visors(X2)
     => ! [X15,X31] :
          ( ti(X2,X31) != zero_zero(X2)
         => hAPP(nat,X2,power_power(X2,X31),X15) != zero_zero(X2) ) ),
    inference(fof_simplification,[status(thm)],[fact_165_field__power__not__zero]) ).

cnf(c_0_62,negated_conjecture,
    hAPP(nat,int,power_power(int,plus_plus(int,one_one(int),hAPP(nat,int,semiring_1_of_nat(int),n))),number_number_of(nat,bit0(bit1(pls)))) = zero_zero(int),
    inference(split_conjunct,[status(thm)],[c_0_55]) ).

cnf(c_0_63,plain,
    minus_minus(int,X1,min) = plus_plus(int,X1,one_one(int)),
    inference(rw,[status(thm)],[c_0_56,c_0_30]) ).

cnf(c_0_64,plain,
    one_one(int) = minus_minus(int,pls,min),
    inference(rw,[status(thm)],[c_0_57,c_0_58]) ).

cnf(c_0_65,plain,
    nat_1(X1) = number_number_of(nat,X1),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_59,c_0_39]),c_0_44]),c_0_60]) ).

fof(c_0_66,plain,
    ! [X353,X354] : plus_plus(int,X353,X354) = plus_plus(int,X354,X353),
    inference(variable_rename,[status(thm)],[fact_47_zadd__commute]) ).

fof(c_0_67,plain,
    ! [X560,X561,X562] :
      ( hAPP(nat,X560,power_power(X560,X562),X561) != zero_zero(X560)
      | ti(X560,X562) = zero_zero(X560)
      | ~ ring_11004092258visors(X560) ),
    inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_61])])])]) ).

cnf(c_0_68,negated_conjecture,
    hAPP(nat,int,power_power(int,plus_plus(int,one_one(int),hAPP(nat,int,semiring_1_of_nat(int),n))),number_number_of(nat,plus_plus(int,minus_minus(int,plus_plus(int,pls,pls),min),minus_minus(int,plus_plus(int,pls,pls),min)))) = zero_zero(int),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_62,c_0_28]),c_0_29]),c_0_29]),c_0_30]),c_0_30]) ).

cnf(c_0_69,plain,
    plus_plus(int,X1,minus_minus(int,pls,min)) = minus_minus(int,X1,min),
    inference(rw,[status(thm)],[c_0_63,c_0_64]) ).

cnf(c_0_70,plain,
    pls = zero_zero(int),
    inference(split_conjunct,[status(thm)],[fact_73_Pls__def]) ).

cnf(c_0_71,plain,
    number_number_of(nat,plus_plus(int,X1,pls)) = number_number_of(nat,X1),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_60,c_0_65]),c_0_65]) ).

cnf(c_0_72,plain,
    plus_plus(int,X1,X2) = plus_plus(int,X2,X1),
    inference(split_conjunct,[status(thm)],[c_0_66]) ).

cnf(c_0_73,plain,
    ( hAPP(nat,X1,power_power(X1,X2),X3) != zero_zero(X1)
    | ~ ring_11004092258visors(X1)
    | ti(X1,X2) = zero_zero(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_67]) ).

cnf(c_0_74,negated_conjecture,
    hAPP(nat,int,power_power(int,plus_plus(int,minus_minus(int,pls,min),hAPP(nat,int,semiring_1_of_nat(int),n))),number_number_of(nat,minus_minus(int,minus_minus(int,pls,min),min))) = pls,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_68,c_0_64]),c_0_36]),c_0_36]),c_0_69]),c_0_70]) ).

cnf(c_0_75,plain,
    ring_11004092258visors(int),
    inference(split_conjunct,[status(thm)],[arity_Int_Oint___Rings_Oring__1__no__zero__divisors]) ).

fof(c_0_76,plain,
    ! [X15] : ~ hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X15),X15)),
    inference(fof_simplification,[status(thm)],[fact_117_less__not__refl]) ).

fof(c_0_77,plain,
    ! [X556] :
      ( ( hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),zero_zero(nat)),number_number_of(nat,X556)))
        | ~ hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),pls),X556)) )
      & ( hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),pls),X556))
        | ~ hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),zero_zero(nat)),number_number_of(nat,X556))) ) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_161_less__0__number__of])])]) ).

cnf(c_0_78,plain,
    number_number_of(nat,plus_plus(int,pls,X1)) = number_number_of(nat,X1),
    inference(spm,[status(thm)],[c_0_71,c_0_72]) ).

cnf(c_0_79,negated_conjecture,
    plus_plus(int,pls,plus_plus(int,minus_minus(int,pls,min),hAPP(nat,int,semiring_1_of_nat(int),n))) = pls,
    inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_74]),c_0_52]),c_0_70]),c_0_70]),c_0_75])]),c_0_72]) ).

cnf(c_0_80,plain,
    zero_zero(nat) = number_number_of(nat,pls),
    inference(split_conjunct,[status(thm)],[fact_26_semiring__norm_I113_J]) ).

cnf(c_0_81,plain,
    hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),zero_zero(int)),plus_plus(int,one_one(int),hAPP(nat,int,semiring_1_of_nat(int),n)))),
    inference(split_conjunct,[status(thm)],[fact_0_n1pos]) ).

fof(c_0_82,plain,
    ! [X459] : ~ hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X459),X459)),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_76])]) ).

cnf(c_0_83,plain,
    ( ~ hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),pls),X1))
    | hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),zero_zero(nat)),number_number_of(nat,X1))) ),
    inference(split_conjunct,[status(thm)],[c_0_77]) ).

cnf(c_0_84,negated_conjecture,
    number_number_of(nat,plus_plus(int,minus_minus(int,pls,min),hAPP(nat,int,semiring_1_of_nat(int),n))) = zero_zero(nat),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_79]),c_0_80]) ).

cnf(c_0_85,plain,
    hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),pls),plus_plus(int,minus_minus(int,pls,min),hAPP(nat,int,semiring_1_of_nat(int),n)))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_81,c_0_70]),c_0_64]) ).

cnf(c_0_86,plain,
    ~ hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X1),X1)),
    inference(split_conjunct,[status(thm)],[c_0_82]) ).

cnf(c_0_87,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_84]),c_0_85])]),c_0_86]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : NUM925+7 : TPTP v9.3.1. Released v5.3.0.
% 0.00/0.05  % Command  : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.37  % Computer : n004.cluster.edu
% 0.11/0.37  % Model    : x86_64 x86_64
% 0.11/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37  % Memory   : 8046.5625MB
% 0.11/0.37  % OS       : Linux 6.8.0-71-generic
% 0.11/0.37  % CPULimit : 300
% 0.11/0.37  % WCLimit  : 300
% 0.11/0.37  % DateTime : Mon Sep 21 03:18:05 UTC 2026
% 0.11/0.38  % CPUTime  : 
% 0.11/0.38  Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.42  Running first-order theorem proving
% 0.11/0.42  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
% 6.87/1.59  % Version: 3.5.1
% 6.87/1.59  % Preprocessing class: FMLMSMSMSSSNFFN.
% 6.87/1.59  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 6.87/1.59  % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 6.87/1.59  % Starting new_bool_3 with 300s (1) cores
% 6.87/1.59  % Starting new_bool_1 with 300s (1) cores
% 6.87/1.59  % Starting sh5l with 300s (1) cores
% 6.87/1.59  % G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 2130837 completed with status 0
% 6.87/1.59  % Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 6.87/1.59  % Preprocessing class: FMLMSMSMSSSNFFN.
% 6.87/1.59  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 6.87/1.59  % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 6.87/1.59  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 6.87/1.59  % No SInE strategy applied
% 6.87/1.59  % Search class: FGHSM-SSLM32-DFFFFFNN
% 6.87/1.59  % Scheduled 13 strats onto 5 cores with 1500 seconds (1500 total)
% 6.87/1.59  % Starting SubtermCWHack with 136s (1) cores
% 6.87/1.59  % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 6.87/1.59  % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S2mI with 113s (1) cores
% 6.87/1.60  % Starting G-E--_208_B07_F1_SE_CS_SP_PS_S4d with 113s (1) cores
% 6.87/1.60  % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AI with 113s (1) cores
% 6.87/1.60  % G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 2130845 completed with status 0
% 6.87/1.60  % Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 6.87/1.60  % Preprocessing class: FMLMSMSMSSSNFFN.
% 6.87/1.60  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 6.87/1.60  % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 6.87/1.60  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 6.87/1.60  % No SInE strategy applied
% 6.87/1.60  % Search class: FGHSM-SSLM32-DFFFFFNN
% 6.87/1.60  % Scheduled 13 strats onto 5 cores with 1500 seconds (1500 total)
% 6.87/1.60  % Starting SubtermCWHack with 136s (1) cores
% 6.87/1.60  % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 6.87/1.60  % Preprocessing time       : 0.034 s
% 6.87/1.60  % Presaturation interreduction done
% 6.87/1.60  
% 6.87/1.60  % Proof found!
% 6.87/1.60  % SZS status Theorem
% 6.87/1.60  % SZS output start CNFRefutation
% See solution above
% 6.87/1.60  % Parsed axioms                        : 1251
% 6.87/1.60  % Removed by relevancy pruning/SinE    : 0
% 6.87/1.60  % Initial clauses                      : 1729
% 6.87/1.60  % Removed in clause preprocessing      : 83
% 6.87/1.60  % Initial clauses in saturation        : 1646
% 6.87/1.60  % Processed clauses                    : 2795
% 6.87/1.60  % ...of these trivial                  : 60
% 6.87/1.60  % ...subsumed                          : 462
% 6.87/1.60  % ...remaining for further processing  : 2273
% 6.87/1.60  % Other redundant clauses eliminated   : 297
% 6.87/1.60  % Clauses deleted for lack of memory   : 0
% 6.87/1.60  % Backward-subsumed                    : 16
% 6.87/1.60  % Backward-rewritten                   : 81
% 6.87/1.60  % Generated clauses                    : 10833
% 6.87/1.60  % ...of the previous two non-redundant : 8991
% 6.87/1.60  % ...aggressively subsumed             : 0
% 6.87/1.60  % Contextual simplify-reflections      : 1
% 6.87/1.60  % Paramodulations                      : 10533
% 6.87/1.60  % Factorizations                       : 2
% 6.87/1.60  % NegExts                              : 0
% 6.87/1.60  % Equation resolutions                 : 304
% 6.87/1.60  % Disequality decompositions           : 0
% 6.87/1.60  % Total rewrite steps                  : 20279
% 6.87/1.60  % ...of those cached                   : 18295
% 6.87/1.60  % Propositional unsat checks           : 0
% 6.87/1.60  %    Propositional check models        : 0
% 6.87/1.60  %    Propositional check unsatisfiable : 0
% 6.87/1.60  %    Propositional clauses             : 0
% 6.87/1.60  %    Propositional clauses after purity: 0
% 6.87/1.60  %    Propositional unsat core size     : 0
% 6.87/1.60  %    Propositional preprocessing time  : 0.000
% 6.87/1.60  %    Propositional encoding time       : 0.000
% 6.87/1.60  %    Propositional solver time         : 0.000
% 6.87/1.60  %    Success case prop preproc time    : 0.000
% 6.87/1.60  %    Success case prop encoding time   : 0.000
% 6.87/1.60  %    Success case prop solver time     : 0.000
% 6.87/1.60  % Current number of processed clauses  : 753
% 6.87/1.60  %    Positive orientable unit clauses  : 354
% 6.87/1.60  %    Positive unorientable unit clauses: 7
% 6.87/1.60  %    Negative unit clauses             : 52
% 6.87/1.60  %    Non-unit-clauses                  : 340
% 6.87/1.60  % Current number of unprocessed clauses: 9165
% 6.87/1.60  % ...number of literals in the above   : 19433
% 6.87/1.60  % Current number of archived formulas  : 0
% 6.87/1.60  % Current number of archived clauses   : 1453
% 6.87/1.60  % Clause-clause subsumption calls (NU) : 201277
% 6.87/1.60  % Rec. Clause-clause subsumption calls : 121925
% 6.87/1.60  % Non-unit clause-clause subsumptions  : 240
% 6.87/1.60  % Unit Clause-clause subsumption calls : 1398
% 6.87/1.60  % Rewrite failures with RHS unbound    : 0
% 6.87/1.60  % BW rewrite match attempts            : 6526
% 6.87/1.60  % BW rewrite match successes           : 261
% 6.87/1.60  % Condensation attempts                : 0
% 6.87/1.60  % Condensation successes               : 0
% 6.87/1.60  % Termbank termtop insertions          : 505164
% 6.87/1.60  % Search garbage collected termcells   : 20595
% 6.87/1.60  
% 6.87/1.60  % -------------------------------------------------
% 6.87/1.60  % User time                : 0.947 s
% 6.87/1.60  % System time              : 0.044 s
% 6.87/1.60  % Total time               : 0.991 s
% 6.87/1.60  % Maximum resident set size: 11012 pages
% 6.87/1.60  
% 6.87/1.60  % -------------------------------------------------
% 6.87/1.60  % User time                : 3.788 s
% 6.87/1.60  % System time              : 0.187 s
% 6.87/1.60  % Total time               : 3.974 s
% 6.87/1.60  % Maximum resident set size: 6400 pages
% 6.87/1.60  % E exiting
%------------------------------------------------------------------------------