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iProver---3.9.4.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : iProver---3.9.4
% Problem  : NUM924+6 : TPTP v9.3.1. Released v5.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM

% Computer : n017.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 : Fri Sep 25 02:27:17 PM UTC 2026

% Result   : Theorem 3.62s 1.09s
% Output   : CNFRefutation 3.62s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :   19
% Syntax   : Number of formulae    :   79 (  79 unt;   0 def)
%            Number of atoms       :   79 (  63 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    8 (   8   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   2 avg)
%            Maximal term depth    :   15 (   2 avg)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-3 aty)
%            Number of functors    :   17 (  17 usr;   7 con; 0-3 aty)
%            Number of variables   :   58 (   0 sgn  58   !;   0   ?;  20   :)

% Comments : 
%------------------------------------------------------------------------------
fof(f40,axiom,
    ! [X0] : ti(int,bit0(X0)) = bit0(X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tsy_c_Int_OBit0_res) ).

fof(f42,axiom,
    ! [X0] : ti(int,bit1(X0)) = bit1(X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tsy_c_Int_OBit1_res) ).

fof(f43,axiom,
    ti(int,min) = min,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tsy_c_Int_OMin_res) ).

fof(f68,axiom,
    ord_less(int,times_times(int,plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int)),t),times_times(int,plus_plus(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(f69,axiom,
    plus_plus(int,power_power(int,s,number_number_of(nat,bit0(bit1(pls)))),one_one(int)) = times_times(int,plus_plus(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(f88,axiom,
    ! [X0] : number_number_of(int,X0) = ti(int,X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_22_number__of__is__id) ).

fof(f89,axiom,
    ! [X0,X1] : times_times(int,X0,X1) = times_times(int,X1,X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_23_zmult__commute) ).

fof(f127,axiom,
    plus_plus(nat,one_one(nat),one_one(nat)) = number_number_of(nat,bit0(bit1(pls))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_61_nat__1__add__1) ).

fof(f128,axiom,
    ! [X0] : times_times(int,pls,X0) = pls,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_62_mult__Pls) ).

fof(f160,axiom,
    ! [X0,X1,X2] : plus_plus(int,plus_plus(int,X0,X1),X2) = plus_plus(int,X0,plus_plus(int,X1,X2)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_94_zadd__assoc) ).

fof(f161,axiom,
    ! [X0,X1,X2] : plus_plus(int,X0,plus_plus(int,X1,X2)) = plus_plus(int,X1,plus_plus(int,X0,X2)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_95_zadd__left__commute) ).

fof(f162,axiom,
    ! [X0,X1] : plus_plus(int,X0,X1) = plus_plus(int,X1,X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_96_zadd__commute) ).

fof(f186,axiom,
    pls = zero_zero(int),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_120_Pls__def) ).

fof(f193,axiom,
    ! [X0] : plus_plus(int,X0,pls) = ti(int,X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_127_add__Pls__right) ).

fof(f194,axiom,
    ! [X0] : plus_plus(int,pls,X0) = ti(int,X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_128_add__Pls) ).

fof(f196,axiom,
    ! [X0] : bit0(X0) = plus_plus(int,X0,X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_130_Bit0__def) ).

fof(f228,axiom,
    ! [X0] : bit1(X0) = plus_plus(int,plus_plus(int,one_one(int),X0),X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_162_Bit1__def) ).

fof(f390,axiom,
    minus_minus(int,power_power(int,s,number_number_of(nat,bit0(bit1(pls)))),number_number_of(int,min)) = plus_plus(int,power_power(int,s,number_number_of(nat,bit0(bit1(pls)))),one_one(int)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_324__096s_A_094_A2_A_N_A_N1_A_061_As_A_094_A2_A_L_A1_096) ).

fof(f650,conjecture,
    ord_less(int,plus_plus(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(f651,negated_conjecture,
    ~ ord_less(int,plus_plus(int,power_power(int,s,number_number_of(nat,bit0(bit1(pls)))),one_one(int)),zero_zero(int)),
    inference(negated_conjecture,[status(cth)],[f650]) ).

fof(f652,plain,
    ~ ord_less(int,plus_plus(int,power_power(int,s,number_number_of(nat,bit0(bit1(pls)))),one_one(int)),zero_zero(int)),
    inference(flattening,[],[f651]) ).

fof(f1336,plain,
    ! [X0] : bit0(X0) = ti(int,bit0(X0)),
    inference(cnf_transformation,[],[f40]) ).

fof(f1338,plain,
    ! [X0] : bit1(X0) = ti(int,bit1(X0)),
    inference(cnf_transformation,[],[f42]) ).

fof(f1339,plain,
    min = ti(int,min),
    inference(cnf_transformation,[],[f43]) ).

fof(f1373,plain,
    ord_less(int,times_times(int,plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int)),t),times_times(int,plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int)),zero_zero(int))),
    inference(cnf_transformation,[],[f68]) ).

fof(f1374,plain,
    times_times(int,plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int)),t) = plus_plus(int,power_power(int,s,number_number_of(nat,bit0(bit1(pls)))),one_one(int)),
    inference(cnf_transformation,[],[f69]) ).

fof(f1399,plain,
    ! [X0] : ti(int,X0) = number_number_of(int,X0),
    inference(cnf_transformation,[],[f88]) ).

fof(f1400,plain,
    ! [X0,X1] : times_times(int,X0,X1) = times_times(int,X1,X0),
    inference(cnf_transformation,[],[f89]) ).

fof(f1461,plain,
    number_number_of(nat,bit0(bit1(pls))) = plus_plus(nat,one_one(nat),one_one(nat)),
    inference(cnf_transformation,[],[f127]) ).

fof(f1462,plain,
    ! [X0] : pls = times_times(int,pls,X0),
    inference(cnf_transformation,[],[f128]) ).

fof(f1515,plain,
    ! [X2,X0,X1] : plus_plus(int,plus_plus(int,X0,X1),X2) = plus_plus(int,X0,plus_plus(int,X1,X2)),
    inference(cnf_transformation,[],[f160]) ).

fof(f1516,plain,
    ! [X2,X0,X1] : plus_plus(int,X0,plus_plus(int,X1,X2)) = plus_plus(int,X1,plus_plus(int,X0,X2)),
    inference(cnf_transformation,[],[f161]) ).

fof(f1517,plain,
    ! [X0,X1] : plus_plus(int,X0,X1) = plus_plus(int,X1,X0),
    inference(cnf_transformation,[],[f162]) ).

fof(f1550,plain,
    pls = zero_zero(int),
    inference(cnf_transformation,[],[f186]) ).

fof(f1561,plain,
    ! [X0] : ti(int,X0) = plus_plus(int,X0,pls),
    inference(cnf_transformation,[],[f193]) ).

fof(f1562,plain,
    ! [X0] : ti(int,X0) = plus_plus(int,pls,X0),
    inference(cnf_transformation,[],[f194]) ).

fof(f1564,plain,
    ! [X0] : bit0(X0) = plus_plus(int,X0,X0),
    inference(cnf_transformation,[],[f196]) ).

fof(f1605,plain,
    ! [X0] : bit1(X0) = plus_plus(int,plus_plus(int,one_one(int),X0),X0),
    inference(cnf_transformation,[],[f228]) ).

fof(f1822,plain,
    plus_plus(int,power_power(int,s,number_number_of(nat,bit0(bit1(pls)))),one_one(int)) = minus_minus(int,power_power(int,s,number_number_of(nat,bit0(bit1(pls)))),number_number_of(int,min)),
    inference(cnf_transformation,[],[f390]) ).

fof(f2142,plain,
    ~ ord_less(int,plus_plus(int,power_power(int,s,number_number_of(nat,bit0(bit1(pls)))),one_one(int)),zero_zero(int)),
    inference(cnf_transformation,[],[f652]) ).

fof(f2144,plain,
    ! [X0] : plus_plus(int,X0,X0) = ti(int,plus_plus(int,X0,X0)),
    inference(definition_unfolding,[],[f1336,f1564,f1564]) ).

fof(f2146,plain,
    ! [X0] : plus_plus(int,plus_plus(int,one_one(int),X0),X0) = ti(int,plus_plus(int,plus_plus(int,one_one(int),X0),X0)),
    inference(definition_unfolding,[],[f1338,f1605,f1605]) ).

fof(f2147,plain,
    ord_less(int,times_times(int,plus_plus(int,times_times(int,number_number_of(int,plus_plus(int,plus_plus(int,plus_plus(int,plus_plus(int,one_one(int),pls),pls),plus_plus(int,plus_plus(int,one_one(int),pls),pls)),plus_plus(int,plus_plus(int,plus_plus(int,one_one(int),pls),pls),plus_plus(int,plus_plus(int,one_one(int),pls),pls)))),m),one_one(int)),t),times_times(int,plus_plus(int,times_times(int,number_number_of(int,plus_plus(int,plus_plus(int,plus_plus(int,plus_plus(int,one_one(int),pls),pls),plus_plus(int,plus_plus(int,one_one(int),pls),pls)),plus_plus(int,plus_plus(int,plus_plus(int,one_one(int),pls),pls),plus_plus(int,plus_plus(int,one_one(int),pls),pls)))),m),one_one(int)),zero_zero(int))),
    inference(definition_unfolding,[],[f1373,f1564,f1564,f1605,f1564,f1564,f1605]) ).

fof(f2148,plain,
    times_times(int,plus_plus(int,times_times(int,number_number_of(int,plus_plus(int,plus_plus(int,plus_plus(int,plus_plus(int,one_one(int),pls),pls),plus_plus(int,plus_plus(int,one_one(int),pls),pls)),plus_plus(int,plus_plus(int,plus_plus(int,one_one(int),pls),pls),plus_plus(int,plus_plus(int,one_one(int),pls),pls)))),m),one_one(int)),t) = plus_plus(int,power_power(int,s,number_number_of(nat,plus_plus(int,plus_plus(int,plus_plus(int,one_one(int),pls),pls),plus_plus(int,plus_plus(int,one_one(int),pls),pls)))),one_one(int)),
    inference(definition_unfolding,[],[f1374,f1564,f1564,f1605,f1564,f1605]) ).

fof(f2193,plain,
    plus_plus(nat,one_one(nat),one_one(nat)) = number_number_of(nat,plus_plus(int,plus_plus(int,plus_plus(int,one_one(int),pls),pls),plus_plus(int,plus_plus(int,one_one(int),pls),pls))),
    inference(definition_unfolding,[],[f1461,f1564,f1605]) ).

fof(f2340,plain,
    plus_plus(int,power_power(int,s,number_number_of(nat,plus_plus(int,plus_plus(int,plus_plus(int,one_one(int),pls),pls),plus_plus(int,plus_plus(int,one_one(int),pls),pls)))),one_one(int)) = minus_minus(int,power_power(int,s,number_number_of(nat,plus_plus(int,plus_plus(int,plus_plus(int,one_one(int),pls),pls),plus_plus(int,plus_plus(int,one_one(int),pls),pls)))),number_number_of(int,min)),
    inference(definition_unfolding,[],[f1822,f1564,f1605,f1564,f1605]) ).

fof(f2364,plain,
    ~ ord_less(int,plus_plus(int,power_power(int,s,number_number_of(nat,plus_plus(int,plus_plus(int,plus_plus(int,one_one(int),pls),pls),plus_plus(int,plus_plus(int,one_one(int),pls),pls)))),one_one(int)),zero_zero(int)),
    inference(definition_unfolding,[],[f2142,f1564,f1605]) ).

tcf(c_92,plain,
    ! [X0: $i] : ti(int,plus_plus(int,X0,X0)) = plus_plus(int,X0,X0),
    inference(cnf_transformation,[],[f2144]) ).

tcf(c_94,plain,
    ! [X0: $i] : ti(int,plus_plus(int,plus_plus(int,one_one(int),X0),X0)) = plus_plus(int,plus_plus(int,one_one(int),X0),X0),
    inference(cnf_transformation,[],[f2146]) ).

tcf(c_95,plain,
    ti(int,min) = min,
    inference(cnf_transformation,[],[f1339]) ).

tcf(c_129,plain,
    ord_less(int,times_times(int,plus_plus(int,times_times(int,number_number_of(int,plus_plus(int,plus_plus(int,plus_plus(int,plus_plus(int,one_one(int),pls),pls),plus_plus(int,plus_plus(int,one_one(int),pls),pls)),plus_plus(int,plus_plus(int,plus_plus(int,one_one(int),pls),pls),plus_plus(int,plus_plus(int,one_one(int),pls),pls)))),m),one_one(int)),t),times_times(int,plus_plus(int,times_times(int,number_number_of(int,plus_plus(int,plus_plus(int,plus_plus(int,plus_plus(int,one_one(int),pls),pls),plus_plus(int,plus_plus(int,one_one(int),pls),pls)),plus_plus(int,plus_plus(int,plus_plus(int,one_one(int),pls),pls),plus_plus(int,plus_plus(int,one_one(int),pls),pls)))),m),one_one(int)),zero_zero(int))),
    inference(cnf_transformation,[],[f2147]) ).

tcf(c_130,plain,
    times_times(int,plus_plus(int,times_times(int,number_number_of(int,plus_plus(int,plus_plus(int,plus_plus(int,plus_plus(int,one_one(int),pls),pls),plus_plus(int,plus_plus(int,one_one(int),pls),pls)),plus_plus(int,plus_plus(int,plus_plus(int,one_one(int),pls),pls),plus_plus(int,plus_plus(int,one_one(int),pls),pls)))),m),one_one(int)),t) = plus_plus(int,power_power(int,s,number_number_of(nat,plus_plus(int,plus_plus(int,plus_plus(int,one_one(int),pls),pls),plus_plus(int,plus_plus(int,one_one(int),pls),pls)))),one_one(int)),
    inference(cnf_transformation,[],[f2148]) ).

tcf(c_155,plain,
    ! [X0: $i] : ti(int,X0) = number_number_of(int,X0),
    inference(cnf_transformation,[],[f1399]) ).

tcf(c_156,plain,
    ! [X0: $i,X1: $i] : times_times(int,X0,X1) = times_times(int,X1,X0),
    inference(cnf_transformation,[],[f1400]) ).

tcf(c_217,plain,
    number_number_of(nat,plus_plus(int,plus_plus(int,plus_plus(int,one_one(int),pls),pls),plus_plus(int,plus_plus(int,one_one(int),pls),pls))) = plus_plus(nat,one_one(nat),one_one(nat)),
    inference(cnf_transformation,[],[f2193]) ).

tcf(c_218,plain,
    ! [X0: $i] : times_times(int,pls,X0) = pls,
    inference(cnf_transformation,[],[f1462]) ).

tcf(c_268,plain,
    ! [X0: $i,X1: $i,X2: $i] : plus_plus(int,plus_plus(int,X0,X1),X2) = plus_plus(int,X0,plus_plus(int,X1,X2)),
    inference(cnf_transformation,[],[f1515]) ).

tcf(c_269,plain,
    ! [X0: $i,X1: $i,X2: $i] : plus_plus(int,X0,plus_plus(int,X1,X2)) = plus_plus(int,X1,plus_plus(int,X0,X2)),
    inference(cnf_transformation,[],[f1516]) ).

tcf(c_270,plain,
    ! [X0: $i,X1: $i] : plus_plus(int,X0,X1) = plus_plus(int,X1,X0),
    inference(cnf_transformation,[],[f1517]) ).

tcf(c_303,plain,
    zero_zero(int) = pls,
    inference(cnf_transformation,[],[f1550]) ).

tcf(c_314,plain,
    ! [X0: $i] : plus_plus(int,X0,pls) = ti(int,X0),
    inference(cnf_transformation,[],[f1561]) ).

tcf(c_315,plain,
    ! [X0: $i] : plus_plus(int,pls,X0) = ti(int,X0),
    inference(cnf_transformation,[],[f1562]) ).

tcf(c_573,plain,
    minus_minus(int,power_power(int,s,number_number_of(nat,plus_plus(int,plus_plus(int,plus_plus(int,one_one(int),pls),pls),plus_plus(int,plus_plus(int,one_one(int),pls),pls)))),number_number_of(int,min)) = plus_plus(int,power_power(int,s,number_number_of(nat,plus_plus(int,plus_plus(int,plus_plus(int,one_one(int),pls),pls),plus_plus(int,plus_plus(int,one_one(int),pls),pls)))),one_one(int)),
    inference(cnf_transformation,[],[f2340]) ).

tcf(c_890,negated_conjecture,
    ~ ord_less(int,plus_plus(int,power_power(int,s,number_number_of(nat,plus_plus(int,plus_plus(int,plus_plus(int,one_one(int),pls),pls),plus_plus(int,plus_plus(int,one_one(int),pls),pls)))),one_one(int)),zero_zero(int)),
    inference(cnf_transformation,[],[f2364]) ).

tcf(c_6867,plain,
    number_number_of(int,min) = min,
    inference(demodulation,[status(thm)],[c_95,c_155]) ).

tcf(c_6900,plain,
    ! [X0: $i] : plus_plus(int,pls,X0) = number_number_of(int,X0),
    inference(light_normalisation,[status(thm)],[c_315,c_155]) ).

tcf(c_6902,plain,
    ! [X0: $i] : plus_plus(int,X0,pls) = number_number_of(int,X0),
    inference(light_normalisation,[status(thm)],[c_314,c_155]) ).

tcf(c_7203,plain,
    ! [X0: $i] : number_number_of(int,plus_plus(int,X0,X0)) = plus_plus(int,X0,X0),
    inference(demodulation,[status(thm)],[c_92,c_155]) ).

tcf(c_8646,plain,
    ! [X0: $i] : number_number_of(int,plus_plus(int,one_one(int),plus_plus(int,X0,X0))) = plus_plus(int,one_one(int),plus_plus(int,X0,X0)),
    inference(demodulation,[status(thm)],[c_94,c_155,c_268]) ).

tcf(c_9616,plain,
    number_number_of(nat,number_number_of(int,number_number_of(int,plus_plus(int,one_one(int),number_number_of(int,number_number_of(int,one_one(int))))))) = plus_plus(nat,one_one(nat),one_one(nat)),
    inference(demodulation,[status(thm)],[c_217,c_268,c_269,c_6900,c_6902]) ).

tcf(c_9851,plain,
    ~ ord_less(int,plus_plus(int,power_power(int,s,number_number_of(nat,plus_plus(int,plus_plus(int,plus_plus(int,one_one(int),pls),pls),plus_plus(int,plus_plus(int,one_one(int),pls),pls)))),one_one(int)),pls),
    inference(light_normalisation,[status(thm)],[c_890,c_303]) ).

tcf(c_9852,plain,
    ~ ord_less(int,plus_plus(int,one_one(int),power_power(int,s,plus_plus(nat,one_one(nat),one_one(nat)))),pls),
    inference(demodulation,[status(thm)],[c_9851,c_268,c_269,c_270,c_6900,c_6902,c_9616]) ).

tcf(c_10304,plain,
    plus_plus(int,power_power(int,s,number_number_of(nat,plus_plus(int,plus_plus(int,plus_plus(int,one_one(int),pls),pls),plus_plus(int,plus_plus(int,one_one(int),pls),pls)))),one_one(int)) = minus_minus(int,power_power(int,s,number_number_of(nat,plus_plus(int,plus_plus(int,plus_plus(int,one_one(int),pls),pls),plus_plus(int,plus_plus(int,one_one(int),pls),pls)))),min),
    inference(light_normalisation,[status(thm)],[c_573,c_6867]) ).

tcf(c_10305,plain,
    plus_plus(int,one_one(int),power_power(int,s,plus_plus(nat,one_one(nat),one_one(nat)))) = minus_minus(int,power_power(int,s,plus_plus(nat,one_one(nat),one_one(nat))),min),
    inference(demodulation,[status(thm)],[c_10304,c_268,c_269,c_270,c_6900,c_6902,c_9616]) ).

tcf(c_10307,plain,
    ~ ord_less(int,minus_minus(int,power_power(int,s,plus_plus(nat,one_one(nat),one_one(nat))),min),pls),
    inference(demodulation,[status(thm)],[c_9852,c_10305]) ).

tcf(c_10473,plain,
    times_times(int,t,plus_plus(int,one_one(int),times_times(int,m,number_number_of(int,number_number_of(int,plus_plus(int,one_one(int),number_number_of(int,plus_plus(int,one_one(int),number_number_of(int,number_number_of(int,plus_plus(int,one_one(int),number_number_of(int,number_number_of(int,one_one(int)))))))))))))) = minus_minus(int,power_power(int,s,plus_plus(nat,one_one(nat),one_one(nat))),min),
    inference(demodulation,[status(thm)],[c_130,c_156,c_268,c_269,c_270,c_6900,c_6902,c_7203,c_8646,c_9616,c_10305]) ).

tcf(c_10477,plain,
    ord_less(int,times_times(int,plus_plus(int,times_times(int,number_number_of(int,plus_plus(int,plus_plus(int,plus_plus(int,plus_plus(int,one_one(int),pls),pls),plus_plus(int,plus_plus(int,one_one(int),pls),pls)),plus_plus(int,plus_plus(int,plus_plus(int,one_one(int),pls),pls),plus_plus(int,plus_plus(int,one_one(int),pls),pls)))),m),one_one(int)),t),times_times(int,plus_plus(int,times_times(int,number_number_of(int,plus_plus(int,plus_plus(int,plus_plus(int,plus_plus(int,one_one(int),pls),pls),plus_plus(int,plus_plus(int,one_one(int),pls),pls)),plus_plus(int,plus_plus(int,plus_plus(int,one_one(int),pls),pls),plus_plus(int,plus_plus(int,one_one(int),pls),pls)))),m),one_one(int)),pls)),
    inference(light_normalisation,[status(thm)],[c_129,c_303]) ).

tcf(c_10478,plain,
    ord_less(int,minus_minus(int,power_power(int,s,plus_plus(nat,one_one(nat),one_one(nat))),min),pls),
    inference(demodulation,[status(thm)],[c_10477,c_156,c_218,c_268,c_269,c_270,c_6900,c_6902,c_7203,c_8646,c_10473]) ).

tcf(c_10479,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_10478,c_10307]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : NUM924+6 : TPTP v9.3.1. Released v5.3.0.
% 0.00/0.04  % Command  : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.09/0.37  % Computer : n017.cluster.edu
% 0.09/0.37  % Model    : x86_64 x86_64
% 0.09/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37  % Memory   : 8046.5625MB
% 0.09/0.37  % OS       : Linux 6.8.0-71-generic
% 0.09/0.37  % CPULimit : 300
% 0.09/0.37  % WCLimit  : 300
% 0.09/0.37  % DateTime : Thu Sep 24 05:37:16 UTC 2026
% 0.09/0.37  % CPUTime  : 
% 0.09/0.37  Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.09/0.41  Running first-order theorem proving
% 0.09/0.41  Running: /export/starexec/sandbox2/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.42  
% 0.09/0.42  % ======== iProver multi-core TPTP/SMT =========
% 0.09/0.42  
% 0.09/0.42  % Detected problem language: tptp
% 0.09/0.43  % Proving...
% 3.62/1.09  % SZS status Started for theBenchmark.p
% 3.62/1.09  % SZS status Theorem for theBenchmark.p
% 3.62/1.09  
% 3.62/1.09  %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 3.62/1.09  
% 3.62/1.09  % ------  iProver source info
% 3.62/1.09  
% 3.62/1.09  % git: date: 2026-07-19 20:42:38 +0200
% 3.62/1.09  % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 3.62/1.09  % git: non_committed_changes: false
% 3.62/1.09  
% 3.62/1.09  % ------ Parsing...
% 3.62/1.09  % ------ Clausification by vclausify_rel  & Parsing by iProver...% 
% 3.62/1.09  
% 3.62/1.09  % ------ Preprocessing...% 
% 3.62/1.09  
% 3.62/1.09  % SZS status Theorem for theBenchmark.p
% 3.62/1.09  
% 3.62/1.09  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.62/1.09  
% 3.62/1.09  
%------------------------------------------------------------------------------