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Vampire---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : NUM924+3 : TPTP v9.3.1. Released v5.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n005.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 : Tue Sep 29 12:17:30 PM UTC 2026

% Result   : Theorem 13.77s 3.14s
% Output   : Refutation 15.39s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   18
%            Number of leaves      :   16
% Syntax   : Number of formulae    :   60 (  57 unt;   1 def)
%            Number of atoms       :   63 (  29 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   13 (  10   ~;   2   |;   0   &)
%                                         (   1 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   2 avg)
%            Maximal term depth    :   18 (   4 avg)
%            Number of predicates  :    4 (   2 usr;   2 prp; 0-2 aty)
%            Number of functors    :   19 (  19 usr;   7 con; 0-2 aty)
%            Number of variables   :   39 (   0 sgn  39   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f28,axiom,
    hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),one_one_int)),t)),hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),one_one_int)),zero_zero_int))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_2__096_I4_A_K_Am_A_L_A1_J_A_K_At_A_060_A_I4_A_K_Am_A_L_A1_J_A_K_A0_096) ).

fof(f29,axiom,
    hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(s),number_number_of_nat(bit0(bit1(pls))))),one_one_int) = hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),one_one_int)),t),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_3_t) ).

fof(f61,axiom,
    ! [X0,X1] : hAPP_int_int(times_times_int(X0),X1) = hAPP_int_int(times_times_int(X1),X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_35_zmult__commute) ).

fof(f67,axiom,
    ! [X0,X1,X2] : hAPP_int_int(times_times_int(hAPP_int_int(times_times_int(X0),X1)),X2) = hAPP_int_int(times_times_int(X0),hAPP_int_int(times_times_int(X1),X2)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_41_zmult__assoc) ).

fof(f114,axiom,
    ! [X0] : hAPP_int_int(times_times_int(pls),X0) = pls,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_88_mult__Pls) ).

fof(f160,axiom,
    ! [X0,X1] : hAPP_int_int(plus_plus_int(X0),X1) = hAPP_int_int(plus_plus_int(X1),X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_134_zadd__commute) ).

fof(f197,axiom,
    bit0(pls) = pls,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_171_Bit0__Pls) ).

fof(f198,axiom,
    pls = zero_zero_int,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_172_Pls__def) ).

fof(f208,axiom,
    ! [X0] : bit0(X0) = hAPP_int_int(plus_plus_int(X0),X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_182_Bit0__def) ).

fof(f229,axiom,
    ! [X0] : hAPP_nat_int(power_power_int(X0),number_number_of_nat(bit0(bit1(pls)))) = hAPP_int_int(times_times_int(X0),X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_203_power2__eq__square) ).

fof(f262,axiom,
    ! [X0] : bit1(X0) = hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),X0)),X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_236_Bit1__def) ).

fof(f353,axiom,
    ! [X0,X1,X2] : hAPP_int_int(times_times_int(X0),hAPP_int_int(times_times_int(X1),X2)) = hAPP_int_int(times_times_int(X1),hAPP_int_int(times_times_int(X0),X2)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_327_comm__semiring__1__class_Onormalizing__semiring__rules_I19_J) ).

fof(f444,axiom,
    ! [X0,X1] : hAPP_int_int(plus_plus_int(X0),hAPP_int_int(times_times_int(X1),X0)) = hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(X1),one_one_int)),X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_418_comm__semiring__1__class_Onormalizing__semiring__rules_I3_J) ).

fof(f1227,axiom,
    ! [X0,X1,X2] : hAPP_int_bool(cOMBC_int_int_bool(X0,X1),X2) = hAPP_int_bool(hAPP_i1948725293t_bool(X0,X2),X1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_COMBC_1_1_COMBC_000tc__Int__Oint_000tc__Int__Oint_000tc__HOL__Obool_U) ).

fof(f1230,conjecture,
    hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(s),number_number_of_nat(bit0(bit1(pls))))),one_one_int)),zero_zero_int)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).

fof(f1231,negated_conjecture,
    ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(s),number_number_of_nat(bit0(bit1(pls))))),one_one_int)),zero_zero_int)),
    inference(negated_conjecture,[status(cth)],[f1230]) ).

fof(f1235,plain,
    ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(s),number_number_of_nat(bit0(bit1(pls))))),one_one_int)),zero_zero_int)),
    inference(flattening,[],[f1231]) ).

fof(f2618,plain,
    hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),one_one_int)),t)),hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),one_one_int)),zero_zero_int))),
    inference(cnf_transformation,[],[f28]) ).

fof(f2619,plain,
    hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),one_one_int)),t) = hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(s),number_number_of_nat(bit0(bit1(pls))))),one_one_int),
    inference(cnf_transformation,[],[f29]) ).

fof(f2664,plain,
    ! [X0,X1] : hAPP_int_int(times_times_int(X0),X1) = hAPP_int_int(times_times_int(X1),X0),
    inference(cnf_transformation,[],[f61]) ).

fof(f2673,plain,
    ! [X2,X0,X1] : hAPP_int_int(times_times_int(hAPP_int_int(times_times_int(X0),X1)),X2) = hAPP_int_int(times_times_int(X0),hAPP_int_int(times_times_int(X1),X2)),
    inference(cnf_transformation,[],[f67]) ).

fof(f2749,plain,
    ! [X0] : pls = hAPP_int_int(times_times_int(pls),X0),
    inference(cnf_transformation,[],[f114]) ).

fof(f2822,plain,
    ! [X0,X1] : hAPP_int_int(plus_plus_int(X0),X1) = hAPP_int_int(plus_plus_int(X1),X0),
    inference(cnf_transformation,[],[f160]) ).

fof(f2873,plain,
    pls = bit0(pls),
    inference(cnf_transformation,[],[f197]) ).

fof(f2874,plain,
    zero_zero_int = pls,
    inference(cnf_transformation,[],[f198]) ).

fof(f2888,plain,
    ! [X0] : bit0(X0) = hAPP_int_int(plus_plus_int(X0),X0),
    inference(cnf_transformation,[],[f208]) ).

fof(f2909,plain,
    ! [X0] : hAPP_nat_int(power_power_int(X0),number_number_of_nat(bit0(bit1(pls)))) = hAPP_int_int(times_times_int(X0),X0),
    inference(cnf_transformation,[],[f229]) ).

fof(f2953,plain,
    ! [X0] : bit1(X0) = hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),X0)),X0),
    inference(cnf_transformation,[],[f262]) ).

fof(f3070,plain,
    ! [X2,X0,X1] : hAPP_int_int(times_times_int(X0),hAPP_int_int(times_times_int(X1),X2)) = hAPP_int_int(times_times_int(X1),hAPP_int_int(times_times_int(X0),X2)),
    inference(cnf_transformation,[],[f353]) ).

fof(f3180,plain,
    ! [X0,X1] : hAPP_int_int(plus_plus_int(X0),hAPP_int_int(times_times_int(X1),X0)) = hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(X1),one_one_int)),X0),
    inference(cnf_transformation,[],[f444]) ).

fof(f4336,plain,
    ! [X2,X0,X1] : hAPP_int_bool(cOMBC_int_int_bool(X0,X1),X2) = hAPP_int_bool(hAPP_i1948725293t_bool(X0,X2),X1),
    inference(cnf_transformation,[],[f1227]) ).

fof(f4339,plain,
    ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(s),number_number_of_nat(bit0(bit1(pls))))),one_one_int)),zero_zero_int)),
    inference(cnf_transformation,[],[f1235]) ).

fof(f4346,plain,
    hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls))),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls))))),m)),one_one_int)),t)),hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls))),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls))))),m)),one_one_int)),pls))),
    inference(definition_unfolding,[],[f2618,f2888,f2888,f2953,f2888,f2888,f2953,f2874]) ).

fof(f4347,plain,
    hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls))),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls))))),m)),one_one_int)),t) = hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(s),number_number_of_nat(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls))))),one_one_int),
    inference(definition_unfolding,[],[f2619,f2888,f2888,f2953,f2888,f2953]) ).

fof(f4492,plain,
    pls = hAPP_int_int(plus_plus_int(pls),pls),
    inference(definition_unfolding,[],[f2873,f2888]) ).

fof(f4522,plain,
    ! [X0] : hAPP_int_int(times_times_int(X0),X0) = hAPP_nat_int(power_power_int(X0),number_number_of_nat(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)))),
    inference(definition_unfolding,[],[f2909,f2888,f2953]) ).

fof(f4967,plain,
    ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(s),number_number_of_nat(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls))))),one_one_int)),pls)),
    inference(definition_unfolding,[],[f4339,f2888,f2953,f2874]) ).

fof(f5293,plain,
    ~ hBOOL(hAPP_int_bool(cOMBC_int_int_bool(ord_less_int,pls),hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(s),number_number_of_nat(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls))))),one_one_int))),
    inference(forward_demodulation,[],[f4967,f4336]) ).

fof(f5315,plain,
    ~ hBOOL(hAPP_int_bool(cOMBC_int_int_bool(ord_less_int,pls),hAPP_int_int(plus_plus_int(one_one_int),hAPP_nat_int(power_power_int(s),number_number_of_nat(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls))))))),
    inference(forward_demodulation,[],[f5293,f2822]) ).

fof(f5325,plain,
    ~ hBOOL(hAPP_int_bool(cOMBC_int_int_bool(ord_less_int,pls),hAPP_int_int(plus_plus_int(one_one_int),hAPP_int_int(times_times_int(s),s)))),
    inference(forward_demodulation,[],[f5315,f4522]) ).

fof(f5344,definition,
    ( spl83_1
  <=> hBOOL(hAPP_int_bool(cOMBC_int_int_bool(ord_less_int,pls),hAPP_int_int(plus_plus_int(one_one_int),hAPP_int_int(times_times_int(s),s)))) ),
    introduced(definition,[new_symbols(definition,[spl83_1])],[avatar_definition]) ).

fof(f5346,plain,
    ( ~ hBOOL(hAPP_int_bool(cOMBC_int_int_bool(ord_less_int,pls),hAPP_int_int(plus_plus_int(one_one_int),hAPP_int_int(times_times_int(s),s))))
    | spl83_1 ),
    inference(avatar_component_clause,[],[f5344]) ).

fof(f5347,plain,
    ~ spl83_1,
    inference(avatar_split_clause,[],[f5325,f5344]) ).

fof(f9392,plain,
    hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls))),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls))))),m)),one_one_int)),t)),hAPP_int_int(plus_plus_int(pls),hAPP_int_int(times_times_int(hAPP_int_int(times_times_int(number_number_of_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls))),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls))))),m)),pls)))),
    inference(forward_demodulation,[],[f4346,f3180]) ).

fof(f9548,plain,
    hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls))),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls))))),m)),one_one_int)),t)),hAPP_int_int(plus_plus_int(pls),hAPP_int_int(times_times_int(number_number_of_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls))),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls))))),hAPP_int_int(times_times_int(m),pls))))),
    inference(forward_demodulation,[],[f9392,f2673]) ).

fof(f9611,plain,
    hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls))),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls))))),m)),one_one_int)),t)),hAPP_int_int(plus_plus_int(pls),hAPP_int_int(times_times_int(hAPP_int_int(times_times_int(m),pls)),number_number_of_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls))),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)))))))),
    inference(forward_demodulation,[],[f9548,f2664]) ).

fof(f9656,plain,
    hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls))),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls))))),m)),one_one_int)),t)),hAPP_int_int(plus_plus_int(pls),hAPP_int_int(times_times_int(m),hAPP_int_int(times_times_int(pls),number_number_of_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls))),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls))))))))),
    inference(forward_demodulation,[],[f9611,f2673]) ).

fof(f9696,plain,
    hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls))),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls))))),m)),one_one_int)),t)),hAPP_int_int(plus_plus_int(pls),hAPP_int_int(times_times_int(pls),hAPP_int_int(times_times_int(m),number_number_of_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls))),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls))))))))),
    inference(forward_demodulation,[],[f9656,f3070]) ).

fof(f9718,plain,
    hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls))),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls))))),m)),one_one_int)),t)),hAPP_int_int(plus_plus_int(pls),pls))),
    inference(forward_demodulation,[],[f9696,f2749]) ).

fof(f9727,plain,
    hBOOL(hAPP_int_bool(cOMBC_int_int_bool(ord_less_int,hAPP_int_int(plus_plus_int(pls),pls)),hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls))),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls))))),m)),one_one_int)),t))),
    inference(forward_demodulation,[],[f9718,f4336]) ).

fof(f9733,plain,
    hBOOL(hAPP_int_bool(cOMBC_int_int_bool(ord_less_int,hAPP_int_int(plus_plus_int(pls),pls)),hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(s),number_number_of_nat(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls))))),one_one_int))),
    inference(forward_demodulation,[],[f9727,f4347]) ).

fof(f9739,plain,
    hBOOL(hAPP_int_bool(cOMBC_int_int_bool(ord_less_int,hAPP_int_int(plus_plus_int(pls),pls)),hAPP_int_int(plus_plus_int(one_one_int),hAPP_nat_int(power_power_int(s),number_number_of_nat(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls))))))),
    inference(forward_demodulation,[],[f9733,f2822]) ).

fof(f9745,plain,
    hBOOL(hAPP_int_bool(cOMBC_int_int_bool(ord_less_int,hAPP_int_int(plus_plus_int(pls),pls)),hAPP_int_int(plus_plus_int(one_one_int),hAPP_int_int(times_times_int(s),s)))),
    inference(forward_demodulation,[],[f9739,f4522]) ).

fof(f9750,plain,
    hBOOL(hAPP_int_bool(cOMBC_int_int_bool(ord_less_int,pls),hAPP_int_int(plus_plus_int(one_one_int),hAPP_int_int(times_times_int(s),s)))),
    inference(forward_demodulation,[],[f9745,f4492]) ).

fof(f9754,plain,
    ( $false
    | spl83_1 ),
    inference(forward_subsumption_resolution,[],[f9750,f5346]) ).

fof(f9755,plain,
    spl83_1,
    inference(avatar_contradiction_clause,[],[f9754]) ).

cnf(s1,plain,
    ~ spl83_1,
    inference(sat_conversion,[],[f5347]) ).

cnf(s221,plain,
    spl83_1,
    inference(sat_conversion,[],[f9755]) ).

cnf(s223,plain,
    $false,
    inference(rat,[],[s1,s221]) ).

fof(f9838,plain,
    $false,
    inference(avatar_sat_refutation,[],[s223]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : NUM924+3 : TPTP v9.3.1. Released v5.3.0.
% 0.00/0.06  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.13/0.39  % Computer : n005.cluster.edu
% 0.13/0.39  % Model    : x86_64 x86_64
% 0.13/0.39  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.39  % Memory   : 8046.5625MB
% 0.13/0.39  % OS       : Linux 6.8.0-71-generic
% 0.13/0.39  % CPULimit : 300
% 0.13/0.39  % WCLimit  : 300
% 0.13/0.39  % DateTime : Sun Sep 27 21:41:01 UTC 2026
% 0.13/0.40  % CPUTime  : 
% 0.13/0.40  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.13/0.45  Running first-order theorem proving
% 0.13/0.45  Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 13.77/3.14  % (197112)Detected formulas, will run a generic FOF schedule.
% 13.77/3.14  % (197120)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=491147465:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 13.77/3.14  % (197121)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1497376297:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 13.77/3.14  % (197120)Instruction limit reached! 
% 13.77/3.14  % (197120)------------------------------
% 13.77/3.14  % (197120)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.77/3.14  % (197120)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.77/3.14  % (197120)CaDiCaL version: 2.1.3
% 13.77/3.14  % (197120)Termination reason: Instruction limit
% 13.77/3.14  % (197120)Termination phase: Saturation
% 13.77/3.14  % (197120)Time elapsed: 0.053 s
% 13.77/3.14  % (197120)Peak memory usage: 90 MB
% 13.77/3.14  % (197120)Instructions burned: 111 (million)
% 13.77/3.14  % (197119)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=1850899829:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 13.77/3.14  % (197117)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=2078158418:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 13.77/3.14  % (197123)dis-21_1_sil=8000:lcm=predicate:random_seed=2621595735:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 13.77/3.14  % (197118)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=2811711559:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 13.77/3.14  % (197122)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2574571597:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 13.77/3.14  % (197121)Instruction limit reached! 
% 13.77/3.14  % (197121)------------------------------
% 13.77/3.14  % (197121)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.77/3.14  % (197121)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.77/3.14  % (197121)CaDiCaL version: 2.1.3
% 13.77/3.14  % (197121)Termination reason: Instruction limit
% 13.77/3.14  % (197121)Termination phase: Saturation
% 13.77/3.14  % (197121)Time elapsed: 0.085 s
% 13.77/3.14  % (197121)Peak memory usage: 90 MB
% 13.77/3.14  % (197121)Instructions burned: 119 (million)
% 13.77/3.14  % (197123)Instruction limit reached! 
% 13.77/3.14  % (197123)------------------------------
% 13.77/3.14  % (197123)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.77/3.14  % (197123)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.77/3.14  % (197123)CaDiCaL version: 2.1.3
% 13.77/3.14  % (197123)Termination reason: Instruction limit
% 13.77/3.14  % (197123)Termination phase: Saturation
% 13.77/3.14  % (197123)Time elapsed: 0.105 s
% 13.77/3.14  % (197123)Peak memory usage: 90 MB
% 13.77/3.14  % (197123)Instructions burned: 129 (million)
% 13.77/3.14  % (197122)Instruction limit reached! 
% 13.77/3.14  % (197122)------------------------------
% 13.77/3.14  % (197122)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.77/3.14  % (197122)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.77/3.14  % (197122)CaDiCaL version: 2.1.3
% 13.77/3.14  % (197122)Termination reason: Instruction limit
% 13.77/3.14  % (197122)Termination phase: Saturation
% 13.77/3.14  % (197122)Time elapsed: 0.124 s
% 13.77/3.14  % (197122)Peak memory usage: 90 MB
% 13.77/3.14  % (197122)Instructions burned: 139 (million)
% 13.77/3.14  % (197128)lrs+10_1_sil=8000:sp=occurrence:random_seed=3587767496:i=285:sd=3:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/285Mi)
% 13.77/3.14  % (197132)lrs+10_1_sil=32000:urr=on:br=off:random_seed=337882113:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/157Mi)
% 13.77/3.14  % (197132)Instruction limit reached! 
% 13.77/3.14  % (197132)------------------------------
% 13.77/3.14  % (197132)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.77/3.14  % (197132)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.77/3.14  % (197132)CaDiCaL version: 2.1.3
% 13.77/3.14  % (197132)Termination reason: Instruction limit
% 13.77/3.14  % (197132)Termination phase: Saturation
% 13.77/3.14  % (197132)Time elapsed: 0.076 s
% 13.77/3.14  % (197132)Peak memory usage: 91 MB
% 13.77/3.14  % (197132)Instructions burned: 157 (million)
% 13.77/3.14  % (197128)Instruction limit reached! 
% 13.77/3.14  % (197128)------------------------------
% 13.77/3.14  % (197128)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.77/3.14  % (197128)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.77/3.14  % (197128)CaDiCaL version: 2.1.3
% 13.77/3.14  % (197128)Termination reason: Instruction limit
% 13.77/3.14  % (197128)Termination phase: Saturation
% 13.77/3.14  % (197128)Time elapsed: 0.214 s
% 13.77/3.14  % (197128)Peak memory usage: 93 MB
% 13.77/3.14  % (197128)Instructions burned: 285 (million)
% 13.77/3.14  % (197133)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1614621:i=325:sd=1:ss=axioms:sgt=32_2995 on theBenchmark for (2995ds/325Mi)
% 13.77/3.14  % (197134)dis+10_5:1_slsqr=1,4:sil=8000:fde=unused:erd=off:urr=full:fd=off:s2agt=8:br=off:slsq=on:random_seed=1833357682:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 13.77/3.14  % (197137)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=424654549:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2993 on theBenchmark for (2993ds/294Mi)
% 13.77/3.14  % (197139)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=3347208360:i=2350_2992 on theBenchmark for (2992ds/2350Mi)
% 13.77/3.14  % (197134)Instruction limit reached! 
% 13.77/3.14  % (197134)------------------------------
% 13.77/3.14  % (197134)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.77/3.14  % (197134)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.77/3.14  % (197134)CaDiCaL version: 2.1.3
% 13.77/3.14  % (197134)Termination reason: Instruction limit
% 13.77/3.14  % (197134)Termination phase: Saturation
% 13.77/3.14  % (197134)Time elapsed: 0.238 s
% 13.77/3.14  % (197134)Peak memory usage: 92 MB
% 13.77/3.14  % (197134)Instructions burned: 248 (million)
% 13.77/3.14  % (197137)Instruction limit reached! 
% 13.77/3.14  % (197137)------------------------------
% 13.77/3.14  % (197137)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.77/3.14  % (197137)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.77/3.14  % (197137)CaDiCaL version: 2.1.3
% 13.77/3.14  % (197137)Termination reason: Instruction limit
% 13.77/3.14  % (197137)Termination phase: Saturation
% 13.77/3.14  % (197137)Time elapsed: 0.135 s
% 13.77/3.14  % (197137)Peak memory usage: 92 MB
% 13.77/3.14  % (197137)Instructions burned: 295 (million)
% 13.77/3.14  % (197133)Instruction limit reached! 
% 13.77/3.14  % (197133)------------------------------
% 13.77/3.14  % (197133)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.77/3.14  % (197133)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.77/3.14  % (197133)CaDiCaL version: 2.1.3
% 13.77/3.14  % (197133)Termination reason: Instruction limit
% 13.77/3.14  % (197133)Termination phase: Saturation
% 13.77/3.14  % (197133)Time elapsed: 0.299 s
% 13.77/3.14  % (197133)Peak memory usage: 92 MB
% 13.77/3.14  % (197133)Instructions burned: 325 (million)
% 13.77/3.14  % (197144)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=555853348:i=127:av=off:fsr=off:sup=off_2989 on theBenchmark for (2989ds/127Mi)
% 13.77/3.14  % (197143)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=2188215916:cts=off:i=113:fsr=off:ss=included:sgt=4_2990 on theBenchmark for (2990ds/113Mi)
% 13.77/3.14  % (197145)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=2587928938:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2989 on theBenchmark for (2989ds/114Mi)
% 13.77/3.14  % (197144)Instruction limit reached! 
% 13.77/3.14  % (197144)------------------------------
% 13.77/3.14  % (197144)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.77/3.14  % (197144)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.77/3.14  % (197144)CaDiCaL version: 2.1.3
% 13.77/3.14  % (197144)Termination reason: Instruction limit
% 13.77/3.14  % (197144)Termination phase: Saturation
% 13.77/3.14  % (197144)Time elapsed: 0.053 s
% 13.77/3.14  % (197144)Peak memory usage: 90 MB
% 13.77/3.14  % (197144)Instructions burned: 129 (million)
% 13.77/3.14  % (197145)Instruction limit reached! 
% 13.77/3.14  % (197145)------------------------------
% 13.77/3.14  % (197145)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.77/3.14  % (197145)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.77/3.14  % (197145)CaDiCaL version: 2.1.3
% 13.77/3.14  % (197145)Termination reason: Instruction limit
% 13.77/3.14  % (197145)Termination phase: Saturation
% 13.77/3.14  % (197145)Time elapsed: 0.096 s
% 13.77/3.14  % (197145)Peak memory usage: 90 MB
% 13.77/3.14  % (197145)Instructions burned: 115 (million)
% 13.77/3.14  % (197143)Instruction limit reached! 
% 13.77/3.14  % (197143)------------------------------
% 13.77/3.14  % (197143)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.77/3.14  % (197143)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.77/3.14  % (197143)CaDiCaL version: 2.1.3
% 13.77/3.14  % (197143)Termination reason: Instruction limit
% 13.77/3.14  % (197143)Termination phase: Saturation
% 13.77/3.14  % (197143)Time elapsed: 0.099 s
% 13.77/3.14  % (197143)Peak memory usage: 90 MB
% 13.77/3.14  % (197143)Instructions burned: 114 (million)
% 13.77/3.14  % (197149)lrs+10_1_sil=8000:sp=occurrence:random_seed=4252426012:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2987 on theBenchmark for (2987ds/907Mi)
% 13.77/3.14  % (197151)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=1848433250:i=5202:ss=axioms:sgt=16_2986 on theBenchmark for (2986ds/5202Mi)
% 13.77/3.14  % (197150)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=3772460126:i=437:sd=1:aac=none:ss=included_2986 on theBenchmark for (2986ds/437Mi)
% 13.77/3.14  % (197119)First to succeed.
% 13.77/3.14  % (197119)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-197112"
% 13.77/3.14  % (197150)Instruction limit reached! 
% 13.77/3.14  % (197150)------------------------------
% 13.77/3.14  % (197150)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.77/3.14  % (197150)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.77/3.14  % (197150)CaDiCaL version: 2.1.3
% 13.77/3.14  % (197150)Termination reason: Instruction limit
% 13.77/3.14  % (197150)Termination phase: Saturation
% 13.77/3.14  % (197150)Time elapsed: 0.385 s
% 13.77/3.14  % (197150)Peak memory usage: 94 MB
% 13.77/3.14  % (197150)Instructions burned: 437 (million)
% 13.77/3.14  % (197119)Refutation found. Thanks to Tanya!
% 13.77/3.14  % SZS status Theorem for theBenchmark
% 13.77/3.14  % SZS output start Proof for theBenchmark
% See solution above
% 15.39/3.32  % (197119)------------------------------
% 15.39/3.32  % (197119)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.39/3.32  % (197119)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.39/3.32  % (197119)CaDiCaL version: 2.1.3
% 15.39/3.32  % (197119)Termination reason: Refutation
% 15.39/3.32  % (197119)Time elapsed: 1.489 s
% 15.39/3.32  % (197119)Peak memory usage: 149 MB
% 15.39/3.32  % (197119)Instructions burned: 1975 (million)
% 15.39/3.32  % (197119)------------------------------
% 15.39/3.32  % (197119)------------------------------
% 15.39/3.32  % (197112)Success in time 2.135 s
% 15.39/3.32  % Vampire exiting
%------------------------------------------------------------------------------