%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : NUM926+3 : TPTP v9.3.1. Released v5.3.0.
% Transfm : none
% Format : tptp:raw
% Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n018.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 : Sun Sep 27 08:18:25 AM UTC 2026
% Result : Theorem 6.68s 1.91s
% Output : CNFRefutation 6.68s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 16
% Syntax : Number of formulae : 91 ( 52 unt; 0 def)
% Number of atoms : 159 ( 102 equ)
% Maximal formula atoms : 6 ( 1 avg)
% Number of connectives : 127 ( 59 ~; 46 |; 18 &)
% ( 1 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 2 avg)
% Maximal term depth : 11 ( 3 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 22 ( 22 usr; 11 con; 0-2 aty)
% Number of variables : 70 ( 26 sgn 13 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(fact_28_add__special_I2_J,axiom,
! [W_15] : hAPP_int_int(plus_plus_int(one_one_int),number_number_of_int(W_15)) = number_number_of_int(hAPP_int_int(plus_plus_int(bit1(pls)),W_15)),
file('theBenchmark.p',fact_28_add__special_I2_J) ).
fof(fact_37_zless__le,axiom,
! [Z_1,W_1] :
( ( is_int(W_1)
& is_int(Z_1) )
=> ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Z_1),W_1))
<=> ( Z_1 != W_1
& hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,Z_1),W_1)) ) ) ),
file('theBenchmark.p',fact_37_zless__le) ).
fof(fact_112_comm__semiring__1__class_Onormalizing__semiring__rules_I7_J,axiom,
! [A_111,B_63] : hAPP_int_int(times_times_int(A_111),B_63) = hAPP_int_int(times_times_int(B_63),A_111),
file('theBenchmark.p',fact_112_comm__semiring__1__class_Onormalizing__semiring__rules_I7_J) ).
fof(fact_123_comm__semiring__1__class_Onormalizing__semiring__rules_I21_J,axiom,
! [A_107,B_60,C_33] : hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(A_107),B_60)),C_33) = hAPP_int_int(plus_plus_int(A_107),hAPP_int_int(plus_plus_int(B_60),C_33)),
file('theBenchmark.p',fact_123_comm__semiring__1__class_Onormalizing__semiring__rules_I21_J) ).
fof(fact_132_comm__semiring__1__class_Onormalizing__semiring__rules_I24_J,axiom,
! [A_104,C_30] : hAPP_int_int(plus_plus_int(A_104),C_30) = hAPP_int_int(plus_plus_int(C_30),A_104),
file('theBenchmark.p',fact_132_comm__semiring__1__class_Onormalizing__semiring__rules_I24_J) ).
fof(fact_206_Bit0__def,axiom,
! [K_1] : bit0(K_1) = hAPP_int_int(plus_plus_int(K_1),K_1),
file('theBenchmark.p',fact_206_Bit0__def) ).
fof(fact_253_Bit1__def,axiom,
! [K_1] : bit1(K_1) = hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),K_1)),K_1),
file('theBenchmark.p',fact_253_Bit1__def) ).
fof(fact_254_number__of__Bit1,axiom,
! [W_7] : number_number_of_int(bit1(W_7)) = hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),number_number_of_int(W_7))),number_number_of_int(W_7)),
file('theBenchmark.p',fact_254_number__of__Bit1) ).
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
=> ? [X,Y] :
( hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(X),number_number_of_nat(bit0(bit1(pls))))),hAPP_nat_int(power_power_int(Y),number_number_of_nat(bit0(bit1(pls))))) = hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),one_one_int)
& is_int(Y)
& is_int(X) ) ),
file('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(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_i1948725293t_bool(ord_less_int,one_one_int),t))
=> ? [X,Y] :
( hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(X),number_number_of_nat(bit0(bit1(pls))))),hAPP_nat_int(power_power_int(Y),number_number_of_nat(bit0(bit1(pls))))) = hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),one_one_int)
& is_int(Y)
& is_int(X) ) ),
file('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(conj_0,conjecture,
? [X,Y] : hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(X),number_number_of_nat(bit0(bit1(pls))))),hAPP_nat_int(power_power_int(Y),number_number_of_nat(bit0(bit1(pls))))) = hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),one_one_int),
file('theBenchmark.p',conj_0) ).
fof(conj_0_neg,negated_conjecture,
~ ? [X,Y] : hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(X),number_number_of_nat(bit0(bit1(pls))))),hAPP_nat_int(power_power_int(Y),number_number_of_nat(bit0(bit1(pls))))) = hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),one_one_int),
inference(assume_negation,[status(cth)],[conj_0]) ).
fof(gsy_v_t____,axiom,
is_int(t),
file('theBenchmark.p',gsy_v_t____) ).
cnf(c_1157,plain,
is_int(t),
inference(clausify,[status(thm)],[gsy_v_t____]) ).
fof(fact_0_tpos,axiom,
hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,one_one_int),t)),
file('theBenchmark.p',fact_0_tpos) ).
cnf(c_1158,plain,
hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,one_one_int),t)),
inference(clausify,[status(thm)],[fact_0_tpos]) ).
fof(nnf_1032,plain,
( ? [X,Y] :
( hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(X),number_number_of_nat(bit0(bit1(pls))))),hAPP_nat_int(power_power_int(Y),number_number_of_nat(bit0(bit1(pls))))) = hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),one_one_int)
& is_int(Y)
& is_int(X) )
| t != one_one_int ),
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(sk_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_sk,plain,
( ( hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(sK0),number_number_of_nat(bit0(bit1(pls))))),hAPP_nat_int(power_power_int(sK1),number_number_of_nat(bit0(bit1(pls))))) = hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),one_one_int)
& is_int(sK1)
& is_int(sK0) )
| t != one_one_int ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1]),skolemize(X,sK0),skolemize(Y,sK1)],[nnf_1032]) ).
fof(sk_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,plain,
( ( hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(sK0),number_number_of_nat(bit0(bit1(pls))))),hAPP_nat_int(power_power_int(sK1),number_number_of_nat(bit0(bit1(pls))))) = 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 != one_one_int )
& ( is_int(sK1)
| t != one_one_int )
& ( is_int(sK0)
| t != one_one_int ) ),
inference(cnf_transformation,[status(thm)],[sk_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_sk]) ).
cnf(c_1161,plain,
( hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(sK0),number_number_of_nat(bit0(bit1(pls))))),hAPP_nat_int(power_power_int(sK1),number_number_of_nat(bit0(bit1(pls))))) = 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 != one_one_int ),
inference(split_conjunct,[status(thm)],[sk_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(nnf_1033,plain,
( ? [X,Y] :
( hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(X),number_number_of_nat(bit0(bit1(pls))))),hAPP_nat_int(power_power_int(Y),number_number_of_nat(bit0(bit1(pls))))) = hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),one_one_int)
& is_int(Y)
& is_int(X) )
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),t)) ),
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]) ).
fof(sk_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_sk,plain,
( ( hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(sK2),number_number_of_nat(bit0(bit1(pls))))),hAPP_nat_int(power_power_int(sK3),number_number_of_nat(bit0(bit1(pls))))) = hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),one_one_int)
& is_int(sK3)
& is_int(sK2) )
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),t)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2,sK3]),skolemize(X,sK2),skolemize(Y,sK3)],[nnf_1033]) ).
fof(sk_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,plain,
( ( hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(sK2),number_number_of_nat(bit0(bit1(pls))))),hAPP_nat_int(power_power_int(sK3),number_number_of_nat(bit0(bit1(pls))))) = hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),one_one_int)
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),t)) )
& ( is_int(sK3)
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),t)) )
& ( is_int(sK2)
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),t)) ) ),
inference(cnf_transformation,[status(thm)],[sk_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_sk]) ).
cnf(c_1164,plain,
( hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(sK2),number_number_of_nat(bit0(bit1(pls))))),hAPP_nat_int(power_power_int(sK3),number_number_of_nat(bit0(bit1(pls))))) = hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),one_one_int)
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),t)) ),
inference(split_conjunct,[status(thm)],[sk_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(gsy_c_Groups_Oone__class_Oone_000tc__Int__Oint,axiom,
is_int(one_one_int),
file('theBenchmark.p',gsy_c_Groups_Oone__class_Oone_000tc__Int__Oint) ).
cnf(c_1331,plain,
is_int(one_one_int),
inference(clausify,[status(thm)],[gsy_c_Groups_Oone__class_Oone_000tc__Int__Oint]) ).
cnf(c_1369,plain,
hAPP_int_int(plus_plus_int(one_one_int),number_number_of_int(A)) = number_number_of_int(hAPP_int_int(plus_plus_int(bit1(pls)),A)),
inference(clausify,[status(thm)],[fact_28_add__special_I2_J]) ).
cnf(c_1370,plain,
number_number_of_int(hAPP_int_int(plus_plus_int(bit1(pls)),A)) = hAPP_int_int(plus_plus_int(one_one_int),number_number_of_int(A)),
inference(copy,[status(thm)],[c_1369]) ).
cnf(c_1382,plain,
( B = A
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,A),B))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),B))
| ~ is_int(B)
| ~ is_int(A) ),
inference(clausify,[status(thm)],[fact_37_zless__le]) ).
cnf(c_1466,plain,
hAPP_int_int(times_times_int(A),B) = hAPP_int_int(times_times_int(B),A),
inference(clausify,[status(thm)],[fact_112_comm__semiring__1__class_Onormalizing__semiring__rules_I7_J]) ).
cnf(c_1475,plain,
hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(A),B)),C) = hAPP_int_int(plus_plus_int(A),hAPP_int_int(plus_plus_int(B),C)),
inference(clausify,[status(thm)],[fact_123_comm__semiring__1__class_Onormalizing__semiring__rules_I21_J]) ).
cnf(c_1484,plain,
hAPP_int_int(plus_plus_int(A),B) = hAPP_int_int(plus_plus_int(B),A),
inference(clausify,[status(thm)],[fact_132_comm__semiring__1__class_Onormalizing__semiring__rules_I24_J]) ).
cnf(c_1584,plain,
hAPP_int_int(plus_plus_int(A),A) = bit0(A),
inference(clausify,[status(thm)],[fact_206_Bit0__def]) ).
cnf(c_1585,plain,
bit0(A) = hAPP_int_int(plus_plus_int(A),A),
inference(copy,[status(thm)],[c_1584]) ).
cnf(c_1630,plain,
hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),A)),A) = bit1(A),
inference(clausify,[status(thm)],[fact_253_Bit1__def]) ).
cnf(c_1631,plain,
hAPP_int_int(plus_plus_int(A),hAPP_int_int(plus_plus_int(one_one_int),A)) = bit1(A),
inference(paramod,[status(thm)],[c_1484,c_1630]) ).
cnf(c_1632,plain,
hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),number_number_of_int(A))),number_number_of_int(A)) = number_number_of_int(bit1(A)),
inference(clausify,[status(thm)],[fact_254_number__of__Bit1]) ).
cnf(c_4885,plain,
hAPP_int_int(plus_plus_int(number_number_of_int(A)),hAPP_int_int(plus_plus_int(one_one_int),number_number_of_int(A))) = number_number_of_int(bit1(A)),
inference(paramod,[status(thm)],[c_1484,c_1632]) ).
cnf(c_4886,plain,
bit1(number_number_of_int(A)) = number_number_of_int(bit1(A)),
inference(paramod,[status(thm)],[c_1631,c_4885]) ).
cnf(c_1633,plain,
number_number_of_int(bit1(A)) = bit1(number_number_of_int(A)),
inference(copy,[status(thm)],[c_4886]) ).
fof(fact_358_Pls__def,axiom,
pls = zero_zero_int,
file('theBenchmark.p',fact_358_Pls__def) ).
cnf(c_1772,plain,
pls = zero_zero_int,
inference(clausify,[status(thm)],[fact_358_Pls__def]) ).
cnf(c_1773,plain,
zero_zero_int = pls,
inference(copy,[status(thm)],[c_1772]) ).
fof(fact_391_semiring__norm_I112_J,axiom,
zero_zero_int = number_number_of_int(pls),
file('theBenchmark.p',fact_391_semiring__norm_I112_J) ).
cnf(c_1834,plain,
zero_zero_int = number_number_of_int(pls),
inference(clausify,[status(thm)],[fact_391_semiring__norm_I112_J]) ).
cnf(c_4887,plain,
pls = number_number_of_int(pls),
inference(paramod,[status(thm)],[c_1773,c_1834]) ).
cnf(c_1835,plain,
number_number_of_int(pls) = pls,
inference(copy,[status(thm)],[c_4887]) ).
cnf(c_3396,negated_conjecture,
hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(A),number_number_of_nat(bit0(bit1(pls))))),hAPP_nat_int(power_power_int(B),number_number_of_nat(bit0(bit1(pls))))) != hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),one_one_int),
inference(clausify,[status(thm)],[conj_0_neg]) ).
cnf(c_4888,negated_conjecture,
hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(A),number_number_of_nat(hAPP_int_int(plus_plus_int(bit1(pls)),bit1(pls))))),hAPP_nat_int(power_power_int(B),number_number_of_nat(bit0(bit1(pls))))) != hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),one_one_int),
inference(paramod,[status(thm)],[c_1585,c_3396]) ).
cnf(c_4889,negated_conjecture,
hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(A),number_number_of_nat(hAPP_int_int(plus_plus_int(bit1(pls)),bit1(pls))))),hAPP_nat_int(power_power_int(B),number_number_of_nat(hAPP_int_int(plus_plus_int(bit1(pls)),bit1(pls))))) != hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),one_one_int),
inference(paramod,[status(thm)],[c_1585,c_4888]) ).
cnf(c_4890,negated_conjecture,
hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(A),number_number_of_nat(hAPP_int_int(plus_plus_int(bit1(pls)),bit1(pls))))),hAPP_nat_int(power_power_int(B),number_number_of_nat(hAPP_int_int(plus_plus_int(bit1(pls)),bit1(pls))))) != hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(hAPP_int_int(plus_plus_int(bit1(pls)),bit1(pls))))),m)),one_one_int),
inference(paramod,[status(thm)],[c_1585,c_4889]) ).
cnf(c_4891,negated_conjecture,
hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(A),number_number_of_nat(hAPP_int_int(plus_plus_int(bit1(pls)),bit1(pls))))),hAPP_nat_int(power_power_int(B),number_number_of_nat(hAPP_int_int(plus_plus_int(bit1(pls)),bit1(pls))))) != 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(bit1(pls)),bit1(pls))),hAPP_int_int(plus_plus_int(bit1(pls)),bit1(pls))))),m)),one_one_int),
inference(paramod,[status(thm)],[c_1585,c_4890]) ).
cnf(c_4892,negated_conjecture,
hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(A),number_number_of_nat(hAPP_int_int(plus_plus_int(bit1(pls)),bit1(pls))))),hAPP_nat_int(power_power_int(B),number_number_of_nat(hAPP_int_int(plus_plus_int(bit1(pls)),bit1(pls))))) != hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(hAPP_int_int(plus_plus_int(bit1(pls)),hAPP_int_int(plus_plus_int(bit1(pls)),hAPP_int_int(plus_plus_int(bit1(pls)),bit1(pls)))))),m)),one_one_int),
inference(paramod,[status(thm)],[c_1475,c_4891]) ).
cnf(c_4893,negated_conjecture,
hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(A),number_number_of_nat(hAPP_int_int(plus_plus_int(bit1(pls)),bit1(pls))))),hAPP_nat_int(power_power_int(B),number_number_of_nat(hAPP_int_int(plus_plus_int(bit1(pls)),bit1(pls))))) != hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(one_one_int),number_number_of_int(hAPP_int_int(plus_plus_int(bit1(pls)),hAPP_int_int(plus_plus_int(bit1(pls)),bit1(pls)))))),m)),one_one_int),
inference(paramod,[status(thm)],[c_1370,c_4892]) ).
cnf(c_4894,negated_conjecture,
hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(A),number_number_of_nat(hAPP_int_int(plus_plus_int(bit1(pls)),bit1(pls))))),hAPP_nat_int(power_power_int(B),number_number_of_nat(hAPP_int_int(plus_plus_int(bit1(pls)),bit1(pls))))) != hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(one_one_int),hAPP_int_int(plus_plus_int(one_one_int),number_number_of_int(hAPP_int_int(plus_plus_int(bit1(pls)),bit1(pls)))))),m)),one_one_int),
inference(paramod,[status(thm)],[c_1370,c_4893]) ).
cnf(c_4895,negated_conjecture,
hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(A),number_number_of_nat(hAPP_int_int(plus_plus_int(bit1(pls)),bit1(pls))))),hAPP_nat_int(power_power_int(B),number_number_of_nat(hAPP_int_int(plus_plus_int(bit1(pls)),bit1(pls))))) != hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(one_one_int),hAPP_int_int(plus_plus_int(one_one_int),hAPP_int_int(plus_plus_int(one_one_int),number_number_of_int(bit1(pls)))))),m)),one_one_int),
inference(paramod,[status(thm)],[c_1370,c_4894]) ).
cnf(c_4896,negated_conjecture,
hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(A),number_number_of_nat(hAPP_int_int(plus_plus_int(bit1(pls)),bit1(pls))))),hAPP_nat_int(power_power_int(B),number_number_of_nat(hAPP_int_int(plus_plus_int(bit1(pls)),bit1(pls))))) != hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(one_one_int),hAPP_int_int(plus_plus_int(one_one_int),hAPP_int_int(plus_plus_int(one_one_int),bit1(number_number_of_int(pls)))))),m)),one_one_int),
inference(paramod,[status(thm)],[c_1633,c_4895]) ).
cnf(c_4897,negated_conjecture,
hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(A),number_number_of_nat(hAPP_int_int(plus_plus_int(bit1(pls)),bit1(pls))))),hAPP_nat_int(power_power_int(B),number_number_of_nat(hAPP_int_int(plus_plus_int(bit1(pls)),bit1(pls))))) != hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(one_one_int),hAPP_int_int(plus_plus_int(one_one_int),hAPP_int_int(plus_plus_int(one_one_int),bit1(pls))))),m)),one_one_int),
inference(paramod,[status(thm)],[c_1835,c_4896]) ).
cnf(c_4898,negated_conjecture,
hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(A),number_number_of_nat(hAPP_int_int(plus_plus_int(bit1(pls)),bit1(pls))))),hAPP_nat_int(power_power_int(B),number_number_of_nat(hAPP_int_int(plus_plus_int(bit1(pls)),bit1(pls))))) != hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(m),hAPP_int_int(plus_plus_int(one_one_int),hAPP_int_int(plus_plus_int(one_one_int),hAPP_int_int(plus_plus_int(one_one_int),bit1(pls)))))),one_one_int),
inference(paramod,[status(thm)],[c_1466,c_4897]) ).
cnf(c_3397,negated_conjecture,
hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(A),number_number_of_nat(hAPP_int_int(plus_plus_int(bit1(pls)),bit1(pls))))),hAPP_nat_int(power_power_int(B),number_number_of_nat(hAPP_int_int(plus_plus_int(bit1(pls)),bit1(pls))))) != hAPP_int_int(plus_plus_int(one_one_int),hAPP_int_int(times_times_int(m),hAPP_int_int(plus_plus_int(one_one_int),hAPP_int_int(plus_plus_int(one_one_int),hAPP_int_int(plus_plus_int(one_one_int),bit1(pls)))))),
inference(paramod,[status(thm)],[c_1484,c_4898]) ).
cnf(c_4899,plain,
( hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(sK2),number_number_of_nat(hAPP_int_int(plus_plus_int(bit1(pls)),bit1(pls))))),hAPP_nat_int(power_power_int(sK3),number_number_of_nat(bit0(bit1(pls))))) = hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),one_one_int)
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),t)) ),
inference(paramod,[status(thm)],[c_1585,c_1164]) ).
cnf(c_4900,plain,
( hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(sK2),number_number_of_nat(hAPP_int_int(plus_plus_int(bit1(pls)),bit1(pls))))),hAPP_nat_int(power_power_int(sK3),number_number_of_nat(hAPP_int_int(plus_plus_int(bit1(pls)),bit1(pls))))) = hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),one_one_int)
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),t)) ),
inference(paramod,[status(thm)],[c_1585,c_4899]) ).
cnf(c_4901,plain,
( hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(sK2),number_number_of_nat(hAPP_int_int(plus_plus_int(bit1(pls)),bit1(pls))))),hAPP_nat_int(power_power_int(sK3),number_number_of_nat(hAPP_int_int(plus_plus_int(bit1(pls)),bit1(pls))))) = hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(hAPP_int_int(plus_plus_int(bit1(pls)),bit1(pls))))),m)),one_one_int)
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),t)) ),
inference(paramod,[status(thm)],[c_1585,c_4900]) ).
cnf(c_4902,plain,
( hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(sK2),number_number_of_nat(hAPP_int_int(plus_plus_int(bit1(pls)),bit1(pls))))),hAPP_nat_int(power_power_int(sK3),number_number_of_nat(hAPP_int_int(plus_plus_int(bit1(pls)),bit1(pls))))) = 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(bit1(pls)),bit1(pls))),hAPP_int_int(plus_plus_int(bit1(pls)),bit1(pls))))),m)),one_one_int)
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),t)) ),
inference(paramod,[status(thm)],[c_1585,c_4901]) ).
cnf(c_4903,plain,
( hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(sK2),number_number_of_nat(hAPP_int_int(plus_plus_int(bit1(pls)),bit1(pls))))),hAPP_nat_int(power_power_int(sK3),number_number_of_nat(hAPP_int_int(plus_plus_int(bit1(pls)),bit1(pls))))) = hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(hAPP_int_int(plus_plus_int(bit1(pls)),hAPP_int_int(plus_plus_int(bit1(pls)),hAPP_int_int(plus_plus_int(bit1(pls)),bit1(pls)))))),m)),one_one_int)
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),t)) ),
inference(paramod,[status(thm)],[c_1475,c_4902]) ).
cnf(c_4904,plain,
( hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(sK2),number_number_of_nat(hAPP_int_int(plus_plus_int(bit1(pls)),bit1(pls))))),hAPP_nat_int(power_power_int(sK3),number_number_of_nat(hAPP_int_int(plus_plus_int(bit1(pls)),bit1(pls))))) = hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(one_one_int),number_number_of_int(hAPP_int_int(plus_plus_int(bit1(pls)),hAPP_int_int(plus_plus_int(bit1(pls)),bit1(pls)))))),m)),one_one_int)
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),t)) ),
inference(paramod,[status(thm)],[c_1370,c_4903]) ).
cnf(c_4905,plain,
( hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(sK2),number_number_of_nat(hAPP_int_int(plus_plus_int(bit1(pls)),bit1(pls))))),hAPP_nat_int(power_power_int(sK3),number_number_of_nat(hAPP_int_int(plus_plus_int(bit1(pls)),bit1(pls))))) = hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(one_one_int),hAPP_int_int(plus_plus_int(one_one_int),number_number_of_int(hAPP_int_int(plus_plus_int(bit1(pls)),bit1(pls)))))),m)),one_one_int)
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),t)) ),
inference(paramod,[status(thm)],[c_1370,c_4904]) ).
cnf(c_4906,plain,
( hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(sK2),number_number_of_nat(hAPP_int_int(plus_plus_int(bit1(pls)),bit1(pls))))),hAPP_nat_int(power_power_int(sK3),number_number_of_nat(hAPP_int_int(plus_plus_int(bit1(pls)),bit1(pls))))) = hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(one_one_int),hAPP_int_int(plus_plus_int(one_one_int),hAPP_int_int(plus_plus_int(one_one_int),number_number_of_int(bit1(pls)))))),m)),one_one_int)
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),t)) ),
inference(paramod,[status(thm)],[c_1370,c_4905]) ).
cnf(c_4907,plain,
( hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(sK2),number_number_of_nat(hAPP_int_int(plus_plus_int(bit1(pls)),bit1(pls))))),hAPP_nat_int(power_power_int(sK3),number_number_of_nat(hAPP_int_int(plus_plus_int(bit1(pls)),bit1(pls))))) = hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(one_one_int),hAPP_int_int(plus_plus_int(one_one_int),hAPP_int_int(plus_plus_int(one_one_int),bit1(number_number_of_int(pls)))))),m)),one_one_int)
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),t)) ),
inference(paramod,[status(thm)],[c_1633,c_4906]) ).
cnf(c_4908,plain,
( hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(sK2),number_number_of_nat(hAPP_int_int(plus_plus_int(bit1(pls)),bit1(pls))))),hAPP_nat_int(power_power_int(sK3),number_number_of_nat(hAPP_int_int(plus_plus_int(bit1(pls)),bit1(pls))))) = hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(one_one_int),hAPP_int_int(plus_plus_int(one_one_int),hAPP_int_int(plus_plus_int(one_one_int),bit1(pls))))),m)),one_one_int)
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),t)) ),
inference(paramod,[status(thm)],[c_1835,c_4907]) ).
cnf(c_4909,plain,
( hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(sK2),number_number_of_nat(hAPP_int_int(plus_plus_int(bit1(pls)),bit1(pls))))),hAPP_nat_int(power_power_int(sK3),number_number_of_nat(hAPP_int_int(plus_plus_int(bit1(pls)),bit1(pls))))) = hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(m),hAPP_int_int(plus_plus_int(one_one_int),hAPP_int_int(plus_plus_int(one_one_int),hAPP_int_int(plus_plus_int(one_one_int),bit1(pls)))))),one_one_int)
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),t)) ),
inference(paramod,[status(thm)],[c_1466,c_4908]) ).
cnf(c_4910,plain,
( hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(sK2),number_number_of_nat(hAPP_int_int(plus_plus_int(bit1(pls)),bit1(pls))))),hAPP_nat_int(power_power_int(sK3),number_number_of_nat(hAPP_int_int(plus_plus_int(bit1(pls)),bit1(pls))))) = hAPP_int_int(plus_plus_int(one_one_int),hAPP_int_int(times_times_int(m),hAPP_int_int(plus_plus_int(one_one_int),hAPP_int_int(plus_plus_int(one_one_int),hAPP_int_int(plus_plus_int(one_one_int),bit1(pls))))))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),t)) ),
inference(paramod,[status(thm)],[c_1484,c_4909]) ).
cnf(c_3411,negated_conjecture,
~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),t)),
inference(resolve,[status(thm)],[c_3397,c_4910]) ).
cnf(c_4911,plain,
( hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(sK0),number_number_of_nat(hAPP_int_int(plus_plus_int(bit1(pls)),bit1(pls))))),hAPP_nat_int(power_power_int(sK1),number_number_of_nat(bit0(bit1(pls))))) = 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 != one_one_int ),
inference(paramod,[status(thm)],[c_1585,c_1161]) ).
cnf(c_4912,plain,
( hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(sK0),number_number_of_nat(hAPP_int_int(plus_plus_int(bit1(pls)),bit1(pls))))),hAPP_nat_int(power_power_int(sK1),number_number_of_nat(hAPP_int_int(plus_plus_int(bit1(pls)),bit1(pls))))) = 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 != one_one_int ),
inference(paramod,[status(thm)],[c_1585,c_4911]) ).
cnf(c_4913,plain,
( hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(sK0),number_number_of_nat(hAPP_int_int(plus_plus_int(bit1(pls)),bit1(pls))))),hAPP_nat_int(power_power_int(sK1),number_number_of_nat(hAPP_int_int(plus_plus_int(bit1(pls)),bit1(pls))))) = hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(hAPP_int_int(plus_plus_int(bit1(pls)),bit1(pls))))),m)),one_one_int)
| t != one_one_int ),
inference(paramod,[status(thm)],[c_1585,c_4912]) ).
cnf(c_4914,plain,
( hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(sK0),number_number_of_nat(hAPP_int_int(plus_plus_int(bit1(pls)),bit1(pls))))),hAPP_nat_int(power_power_int(sK1),number_number_of_nat(hAPP_int_int(plus_plus_int(bit1(pls)),bit1(pls))))) = 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(bit1(pls)),bit1(pls))),hAPP_int_int(plus_plus_int(bit1(pls)),bit1(pls))))),m)),one_one_int)
| t != one_one_int ),
inference(paramod,[status(thm)],[c_1585,c_4913]) ).
cnf(c_4915,plain,
( hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(sK0),number_number_of_nat(hAPP_int_int(plus_plus_int(bit1(pls)),bit1(pls))))),hAPP_nat_int(power_power_int(sK1),number_number_of_nat(hAPP_int_int(plus_plus_int(bit1(pls)),bit1(pls))))) = hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(hAPP_int_int(plus_plus_int(bit1(pls)),hAPP_int_int(plus_plus_int(bit1(pls)),hAPP_int_int(plus_plus_int(bit1(pls)),bit1(pls)))))),m)),one_one_int)
| t != one_one_int ),
inference(paramod,[status(thm)],[c_1475,c_4914]) ).
cnf(c_4916,plain,
( hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(sK0),number_number_of_nat(hAPP_int_int(plus_plus_int(bit1(pls)),bit1(pls))))),hAPP_nat_int(power_power_int(sK1),number_number_of_nat(hAPP_int_int(plus_plus_int(bit1(pls)),bit1(pls))))) = hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(one_one_int),number_number_of_int(hAPP_int_int(plus_plus_int(bit1(pls)),hAPP_int_int(plus_plus_int(bit1(pls)),bit1(pls)))))),m)),one_one_int)
| t != one_one_int ),
inference(paramod,[status(thm)],[c_1370,c_4915]) ).
cnf(c_4917,plain,
( hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(sK0),number_number_of_nat(hAPP_int_int(plus_plus_int(bit1(pls)),bit1(pls))))),hAPP_nat_int(power_power_int(sK1),number_number_of_nat(hAPP_int_int(plus_plus_int(bit1(pls)),bit1(pls))))) = hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(one_one_int),hAPP_int_int(plus_plus_int(one_one_int),number_number_of_int(hAPP_int_int(plus_plus_int(bit1(pls)),bit1(pls)))))),m)),one_one_int)
| t != one_one_int ),
inference(paramod,[status(thm)],[c_1370,c_4916]) ).
cnf(c_4918,plain,
( hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(sK0),number_number_of_nat(hAPP_int_int(plus_plus_int(bit1(pls)),bit1(pls))))),hAPP_nat_int(power_power_int(sK1),number_number_of_nat(hAPP_int_int(plus_plus_int(bit1(pls)),bit1(pls))))) = hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(one_one_int),hAPP_int_int(plus_plus_int(one_one_int),hAPP_int_int(plus_plus_int(one_one_int),number_number_of_int(bit1(pls)))))),m)),one_one_int)
| t != one_one_int ),
inference(paramod,[status(thm)],[c_1370,c_4917]) ).
cnf(c_4919,plain,
( hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(sK0),number_number_of_nat(hAPP_int_int(plus_plus_int(bit1(pls)),bit1(pls))))),hAPP_nat_int(power_power_int(sK1),number_number_of_nat(hAPP_int_int(plus_plus_int(bit1(pls)),bit1(pls))))) = hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(one_one_int),hAPP_int_int(plus_plus_int(one_one_int),hAPP_int_int(plus_plus_int(one_one_int),bit1(number_number_of_int(pls)))))),m)),one_one_int)
| t != one_one_int ),
inference(paramod,[status(thm)],[c_1633,c_4918]) ).
cnf(c_4920,plain,
( hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(sK0),number_number_of_nat(hAPP_int_int(plus_plus_int(bit1(pls)),bit1(pls))))),hAPP_nat_int(power_power_int(sK1),number_number_of_nat(hAPP_int_int(plus_plus_int(bit1(pls)),bit1(pls))))) = hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(one_one_int),hAPP_int_int(plus_plus_int(one_one_int),hAPP_int_int(plus_plus_int(one_one_int),bit1(pls))))),m)),one_one_int)
| t != one_one_int ),
inference(paramod,[status(thm)],[c_1835,c_4919]) ).
cnf(c_4921,plain,
( hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(sK0),number_number_of_nat(hAPP_int_int(plus_plus_int(bit1(pls)),bit1(pls))))),hAPP_nat_int(power_power_int(sK1),number_number_of_nat(hAPP_int_int(plus_plus_int(bit1(pls)),bit1(pls))))) = hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(m),hAPP_int_int(plus_plus_int(one_one_int),hAPP_int_int(plus_plus_int(one_one_int),hAPP_int_int(plus_plus_int(one_one_int),bit1(pls)))))),one_one_int)
| t != one_one_int ),
inference(paramod,[status(thm)],[c_1466,c_4920]) ).
cnf(c_4922,plain,
( hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(sK0),number_number_of_nat(hAPP_int_int(plus_plus_int(bit1(pls)),bit1(pls))))),hAPP_nat_int(power_power_int(sK1),number_number_of_nat(hAPP_int_int(plus_plus_int(bit1(pls)),bit1(pls))))) = hAPP_int_int(plus_plus_int(one_one_int),hAPP_int_int(times_times_int(m),hAPP_int_int(plus_plus_int(one_one_int),hAPP_int_int(plus_plus_int(one_one_int),hAPP_int_int(plus_plus_int(one_one_int),bit1(pls))))))
| t != one_one_int ),
inference(paramod,[status(thm)],[c_1484,c_4921]) ).
cnf(c_3412,negated_conjecture,
t != one_one_int,
inference(resolve,[status(thm)],[c_3397,c_4922]) ).
cnf(c_4923,plain,
( t = one_one_int
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),t))
| ~ is_int(t)
| ~ is_int(one_one_int) ),
inference(resolve,[status(thm)],[c_1382,c_1158]) ).
cnf(c_4924,plain,
( t = one_one_int
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),t))
| ~ is_int(t) ),
inference(resolve,[status(thm)],[c_1331,c_4923]) ).
cnf(c_4925,plain,
( t = one_one_int
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),t)) ),
inference(resolve,[status(thm)],[c_1157,c_4924]) ).
cnf(c_4926,plain,
t = one_one_int,
inference(resolve,[status(thm)],[c_3411,c_4925]) ).
cnf(c_4884,plain,
$false,
inference(resolve,[status(thm)],[c_3412,c_4926]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : NUM926+3 : TPTP v9.3.1. Released v5.3.0.
% 0.00/0.04 % Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n018.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Sat Sep 26 04:22:37 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.08/0.36 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.08/0.36 % Process 3701425 was started by sandbox2 on n018,
% 0.08/0.36 % Sat Sep 26 04:22:37 2026
% 0.08/0.36 % The command was "/export/starexec/sandbox2/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p".
% 0.56/0.84
% 0.56/0.84 % From the command line: assign(max_seconds, 300).
% 0.56/0.84
% 0.56/0.84 % SInE: 1091 to sos, 138 to usable, of 1229 axioms (tolerance 2.00, depth 0 fixpoint).
% 6.68/1.91
% 6.68/1.91 % SZS status Theorem for theBenchmark
% 6.68/1.91
% 6.68/1.91 % Proof 1 at 0.81 (+ 0.15) seconds.
% 6.68/1.91 % Length of proof is 37.
% 6.68/1.91 % Level of proof is 6.
% 6.68/1.91 % Maximum clause weight is 134.000.
% 6.68/1.91 % Given clauses 42.
% 6.68/1.91
% 6.68/1.91 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------