TSTP Solution File: NUM924+2 by Metis---2.4
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : NUM924+2 : TPTP v8.1.0. Released v5.3.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n026.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Mon Jul 18 12:31:30 EDT 2022
% Result : Theorem 0.91s 1.11s
% Output : CNFRefutation 0.98s
% Verified :
% SZS Type : Refutation
% Derivation depth : 38
% Number of leaves : 98
% Syntax : Number of formulae : 373 ( 213 unt; 0 def)
% Number of atoms : 604 ( 568 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 466 ( 235 ~; 231 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 8 ( 3 avg)
% Number of predicates : 4 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 15 ( 15 usr; 7 con; 0-2 aty)
% Number of variables : 214 ( 3 sgn 69 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(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,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)) ).
fof(fact_3_t,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) ).
fof(fact_41_zmult__assoc,axiom,
! [Z1,Z2,Z3] : times_times_int(times_times_int(Z1,Z2),Z3) = times_times_int(Z1,times_times_int(Z2,Z3)) ).
fof(fact_87_nat__1__add__1,axiom,
plus_plus_nat(one_one_nat,one_one_nat) = number_number_of_nat(bit0(bit1(pls))) ).
fof(fact_88_mult__Pls,axiom,
! [W] : times_times_int(pls,W) = pls ).
fof(fact_89_mult__Bit0,axiom,
! [K_1,L] : times_times_int(bit0(K_1),L) = bit0(times_times_int(K_1,L)) ).
fof(fact_132_zadd__commute,axiom,
! [Z,W] : plus_plus_int(Z,W) = plus_plus_int(W,Z) ).
fof(fact_133_zero__is__num__zero,axiom,
zero_zero_int = number_number_of_int(pls) ).
fof(fact_169_Bit0__Pls,axiom,
bit0(pls) = pls ).
fof(fact_170_Pls__def,axiom,
pls = zero_zero_int ).
fof(fact_180_Bit0__def,axiom,
! [K_1] : bit0(K_1) = plus_plus_int(K_1,K_1) ).
fof(fact_185_double__number__of__Bit0,axiom,
! [W_11] : times_times_int(plus_plus_int(one_one_int,one_one_int),number_number_of_int(W_11)) = number_number_of_int(bit0(W_11)) ).
fof(fact_201_power2__eq__square,axiom,
! [A_50] : power_power_int(A_50,number_number_of_nat(bit0(bit1(pls)))) = times_times_int(A_50,A_50) ).
fof(fact_210_semiring__norm_I112_J,axiom,
zero_zero_int = number_number_of_int(pls) ).
fof(fact_234_Bit1__def,axiom,
! [K_1] : bit1(K_1) = plus_plus_int(plus_plus_int(one_one_int,K_1),K_1) ).
fof(fact_246_number__of__Bit1,axiom,
! [W_5] : number_number_of_int(bit1(W_5)) = plus_plus_int(plus_plus_int(one_one_int,number_number_of_int(W_5)),number_number_of_int(W_5)) ).
fof(fact_249_semiring__numeral__1__eq__1,axiom,
number_number_of_int(bit1(pls)) = one_one_int ).
fof(fact_251_numeral__1__eq__1,axiom,
number_number_of_int(bit1(pls)) = one_one_int ).
fof(fact_260_semiring__one__add__one__is__two,axiom,
plus_plus_nat(one_one_nat,one_one_nat) = number_number_of_nat(bit0(bit1(pls))) ).
fof(fact_261_semiring__one__add__one__is__two,axiom,
plus_plus_int(one_one_int,one_one_int) = number_number_of_int(bit0(bit1(pls))) ).
fof(fact_263_one__add__one__is__two,axiom,
plus_plus_int(one_one_int,one_one_int) = number_number_of_int(bit0(bit1(pls))) ).
fof(fact_313_comm__semiring__1__class_Onormalizing__semiring__rules_I16_J,axiom,
! [Lx_3,Ly_1,Rx_3] : times_times_int(times_times_int(Lx_3,Ly_1),Rx_3) = times_times_int(times_times_int(Lx_3,Rx_3),Ly_1) ).
fof(fact_322_comm__semiring__1__class_Onormalizing__semiring__rules_I19_J,axiom,
! [Lx,Rx,Ry] : times_times_int(Lx,times_times_int(Rx,Ry)) = times_times_int(Rx,times_times_int(Lx,Ry)) ).
fof(fact_362_comm__semiring__1__class_Onormalizing__semiring__rules_I10_J,axiom,
! [A_37] : times_times_int(A_37,zero_zero_int) = zero_zero_int ).
fof(fact_410_comm__semiring__1__class_Onormalizing__semiring__rules_I4_J,axiom,
! [M_11] : plus_plus_int(M_11,M_11) = times_times_int(plus_plus_int(one_one_int,one_one_int),M_11) ).
fof(fact_413_comm__semiring__1__class_Onormalizing__semiring__rules_I3_J,axiom,
! [M_10,A_28] : plus_plus_int(M_10,times_times_int(A_28,M_10)) = times_times_int(plus_plus_int(A_28,one_one_int),M_10) ).
fof(conj_0,conjecture,
ord_less_int(plus_plus_int(power_power_int(s,number_number_of_nat(bit0(bit1(pls)))),one_one_int),zero_zero_int) ).
fof(subgoal_0,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(strip,[],[conj_0]) ).
fof(negate_0_0,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(negate,[],[subgoal_0]) ).
fof(normalize_0_0,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(canonicalize,[],[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(normalize_0_1,plain,
number_number_of_int(bit1(pls)) = one_one_int,
inference(canonicalize,[],[fact_251_numeral__1__eq__1]) ).
fof(normalize_0_2,plain,
pls = zero_zero_int,
inference(canonicalize,[],[fact_170_Pls__def]) ).
fof(normalize_0_3,plain,
zero_zero_int = number_number_of_int(pls),
inference(canonicalize,[],[fact_210_semiring__norm_I112_J]) ).
fof(normalize_0_4,plain,
! [W_5] : number_number_of_int(bit1(W_5)) = plus_plus_int(plus_plus_int(one_one_int,number_number_of_int(W_5)),number_number_of_int(W_5)),
inference(canonicalize,[],[fact_246_number__of__Bit1]) ).
fof(normalize_0_5,plain,
! [W_5] : number_number_of_int(bit1(W_5)) = plus_plus_int(plus_plus_int(one_one_int,number_number_of_int(W_5)),number_number_of_int(W_5)),
inference(specialize,[],[normalize_0_4]) ).
fof(normalize_0_6,plain,
! [K_1] : bit1(K_1) = plus_plus_int(plus_plus_int(one_one_int,K_1),K_1),
inference(canonicalize,[],[fact_234_Bit1__def]) ).
fof(normalize_0_7,plain,
! [K_1] : bit1(K_1) = plus_plus_int(plus_plus_int(one_one_int,K_1),K_1),
inference(specialize,[],[normalize_0_6]) ).
fof(normalize_0_8,plain,
! [W,Z] : plus_plus_int(Z,W) = plus_plus_int(W,Z),
inference(canonicalize,[],[fact_132_zadd__commute]) ).
fof(normalize_0_9,plain,
! [W,Z] : plus_plus_int(Z,W) = plus_plus_int(W,Z),
inference(specialize,[],[normalize_0_8]) ).
fof(normalize_0_10,plain,
! [Lx_3,Ly_1,Rx_3] : times_times_int(times_times_int(Lx_3,Ly_1),Rx_3) = times_times_int(times_times_int(Lx_3,Rx_3),Ly_1),
inference(canonicalize,[],[fact_313_comm__semiring__1__class_Onormalizing__semiring__rules_I16_J]) ).
fof(normalize_0_11,plain,
! [Lx_3,Ly_1,Rx_3] : times_times_int(times_times_int(Lx_3,Ly_1),Rx_3) = times_times_int(times_times_int(Lx_3,Rx_3),Ly_1),
inference(specialize,[],[normalize_0_10]) ).
fof(normalize_0_12,plain,
! [Z1,Z2,Z3] : times_times_int(times_times_int(Z1,Z2),Z3) = times_times_int(Z1,times_times_int(Z2,Z3)),
inference(canonicalize,[],[fact_41_zmult__assoc]) ).
fof(normalize_0_13,plain,
! [Z1,Z2,Z3] : times_times_int(times_times_int(Z1,Z2),Z3) = times_times_int(Z1,times_times_int(Z2,Z3)),
inference(specialize,[],[normalize_0_12]) ).
fof(normalize_0_14,plain,
! [Lx,Rx,Ry] : times_times_int(Lx,times_times_int(Rx,Ry)) = times_times_int(Rx,times_times_int(Lx,Ry)),
inference(canonicalize,[],[fact_322_comm__semiring__1__class_Onormalizing__semiring__rules_I19_J]) ).
fof(normalize_0_15,plain,
! [Lx,Rx,Ry] : times_times_int(Lx,times_times_int(Rx,Ry)) = times_times_int(Rx,times_times_int(Lx,Ry)),
inference(specialize,[],[normalize_0_14]) ).
fof(normalize_0_16,plain,
! [A_28,M_10] : plus_plus_int(M_10,times_times_int(A_28,M_10)) = times_times_int(plus_plus_int(A_28,one_one_int),M_10),
inference(canonicalize,[],[fact_413_comm__semiring__1__class_Onormalizing__semiring__rules_I3_J]) ).
fof(normalize_0_17,plain,
! [A_28,M_10] : plus_plus_int(M_10,times_times_int(A_28,M_10)) = times_times_int(plus_plus_int(A_28,one_one_int),M_10),
inference(specialize,[],[normalize_0_16]) ).
fof(normalize_0_18,plain,
bit0(pls) = pls,
inference(canonicalize,[],[fact_169_Bit0__Pls]) ).
fof(normalize_0_19,plain,
! [K_1] : bit0(K_1) = plus_plus_int(K_1,K_1),
inference(canonicalize,[],[fact_180_Bit0__def]) ).
fof(normalize_0_20,plain,
! [K_1] : bit0(K_1) = plus_plus_int(K_1,K_1),
inference(specialize,[],[normalize_0_19]) ).
fof(normalize_0_21,plain,
! [A_37] : times_times_int(A_37,zero_zero_int) = zero_zero_int,
inference(canonicalize,[],[fact_362_comm__semiring__1__class_Onormalizing__semiring__rules_I10_J]) ).
fof(normalize_0_22,plain,
! [A_37] : times_times_int(A_37,zero_zero_int) = zero_zero_int,
inference(specialize,[],[normalize_0_21]) ).
fof(normalize_0_23,plain,
! [W] : times_times_int(pls,W) = pls,
inference(canonicalize,[],[fact_88_mult__Pls]) ).
fof(normalize_0_24,plain,
! [W] : times_times_int(pls,W) = pls,
inference(specialize,[],[normalize_0_23]) ).
fof(normalize_0_25,plain,
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),
inference(canonicalize,[],[fact_3_t]) ).
fof(normalize_0_26,plain,
! [A_50] : power_power_int(A_50,number_number_of_nat(bit0(bit1(pls)))) = times_times_int(A_50,A_50),
inference(canonicalize,[],[fact_201_power2__eq__square]) ).
fof(normalize_0_27,plain,
! [A_50] : power_power_int(A_50,number_number_of_nat(bit0(bit1(pls)))) = times_times_int(A_50,A_50),
inference(specialize,[],[normalize_0_26]) ).
fof(normalize_0_28,plain,
plus_plus_nat(one_one_nat,one_one_nat) = number_number_of_nat(bit0(bit1(pls))),
inference(canonicalize,[],[fact_260_semiring__one__add__one__is__two]) ).
fof(normalize_0_29,plain,
plus_plus_int(one_one_int,one_one_int) = number_number_of_int(bit0(bit1(pls))),
inference(canonicalize,[],[fact_263_one__add__one__is__two]) ).
fof(normalize_0_30,plain,
! [W_11] : times_times_int(plus_plus_int(one_one_int,one_one_int),number_number_of_int(W_11)) = number_number_of_int(bit0(W_11)),
inference(canonicalize,[],[fact_185_double__number__of__Bit0]) ).
fof(normalize_0_31,plain,
! [W_11] : times_times_int(plus_plus_int(one_one_int,one_one_int),number_number_of_int(W_11)) = number_number_of_int(bit0(W_11)),
inference(specialize,[],[normalize_0_30]) ).
fof(normalize_0_32,plain,
! [K_1,L] : times_times_int(bit0(K_1),L) = bit0(times_times_int(K_1,L)),
inference(canonicalize,[],[fact_89_mult__Bit0]) ).
fof(normalize_0_33,plain,
! [K_1,L] : times_times_int(bit0(K_1),L) = bit0(times_times_int(K_1,L)),
inference(specialize,[],[normalize_0_32]) ).
fof(normalize_0_34,plain,
! [M_11] : plus_plus_int(M_11,M_11) = times_times_int(plus_plus_int(one_one_int,one_one_int),M_11),
inference(canonicalize,[],[fact_410_comm__semiring__1__class_Onormalizing__semiring__rules_I4_J]) ).
fof(normalize_0_35,plain,
! [M_11] : plus_plus_int(M_11,M_11) = times_times_int(plus_plus_int(one_one_int,one_one_int),M_11),
inference(specialize,[],[normalize_0_34]) ).
fof(normalize_0_36,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(canonicalize,[],[negate_0_0]) ).
cnf(refute_0_0,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(canonicalize,[],[normalize_0_0]) ).
cnf(refute_0_1,plain,
number_number_of_int(bit1(pls)) = one_one_int,
inference(canonicalize,[],[normalize_0_1]) ).
cnf(refute_0_2,plain,
pls = zero_zero_int,
inference(canonicalize,[],[normalize_0_2]) ).
cnf(refute_0_3,plain,
X = X,
introduced(tautology,[refl,[$fot(X)]]) ).
cnf(refute_0_4,plain,
( X != X
| X != Y
| Y = X ),
introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).
cnf(refute_0_5,plain,
( X != Y
| Y = X ),
inference(resolve,[$cnf( $equal(X,X) )],[refute_0_3,refute_0_4]) ).
cnf(refute_0_6,plain,
( pls != zero_zero_int
| zero_zero_int = pls ),
inference(subst,[],[refute_0_5:[bind(X,$fot(pls)),bind(Y,$fot(zero_zero_int))]]) ).
cnf(refute_0_7,plain,
zero_zero_int = pls,
inference(resolve,[$cnf( $equal(pls,zero_zero_int) )],[refute_0_2,refute_0_6]) ).
cnf(refute_0_8,plain,
zero_zero_int = number_number_of_int(pls),
inference(canonicalize,[],[normalize_0_3]) ).
cnf(refute_0_9,plain,
( zero_zero_int != number_number_of_int(pls)
| number_number_of_int(pls) = zero_zero_int ),
inference(subst,[],[refute_0_5:[bind(X,$fot(zero_zero_int)),bind(Y,$fot(number_number_of_int(pls)))]]) ).
cnf(refute_0_10,plain,
number_number_of_int(pls) = zero_zero_int,
inference(resolve,[$cnf( $equal(zero_zero_int,number_number_of_int(pls)) )],[refute_0_8,refute_0_9]) ).
cnf(refute_0_11,plain,
( Y != X
| Y != Z0
| X = Z0 ),
introduced(tautology,[equality,[$cnf( $equal(Y,Z0) ),[0],$fot(X)]]) ).
cnf(refute_0_12,plain,
( X != Y
| Y != Z0
| X = Z0 ),
inference(resolve,[$cnf( $equal(Y,X) )],[refute_0_5,refute_0_11]) ).
cnf(refute_0_13,plain,
( number_number_of_int(pls) != zero_zero_int
| zero_zero_int != pls
| number_number_of_int(pls) = pls ),
inference(subst,[],[refute_0_12:[bind(X,$fot(number_number_of_int(pls))),bind(Y,$fot(zero_zero_int)),bind(Z0,$fot(pls))]]) ).
cnf(refute_0_14,plain,
( zero_zero_int != pls
| number_number_of_int(pls) = pls ),
inference(resolve,[$cnf( $equal(number_number_of_int(pls),zero_zero_int) )],[refute_0_10,refute_0_13]) ).
cnf(refute_0_15,plain,
number_number_of_int(pls) = pls,
inference(resolve,[$cnf( $equal(zero_zero_int,pls) )],[refute_0_7,refute_0_14]) ).
cnf(refute_0_16,plain,
bit1(number_number_of_int(pls)) = bit1(number_number_of_int(pls)),
introduced(tautology,[refl,[$fot(bit1(number_number_of_int(pls)))]]) ).
cnf(refute_0_17,plain,
( bit1(number_number_of_int(pls)) != bit1(number_number_of_int(pls))
| number_number_of_int(pls) != pls
| bit1(number_number_of_int(pls)) = bit1(pls) ),
introduced(tautology,[equality,[$cnf( $equal(bit1(number_number_of_int(pls)),bit1(number_number_of_int(pls))) ),[1,0],$fot(pls)]]) ).
cnf(refute_0_18,plain,
( number_number_of_int(pls) != pls
| bit1(number_number_of_int(pls)) = bit1(pls) ),
inference(resolve,[$cnf( $equal(bit1(number_number_of_int(pls)),bit1(number_number_of_int(pls))) )],[refute_0_16,refute_0_17]) ).
cnf(refute_0_19,plain,
bit1(number_number_of_int(pls)) = bit1(pls),
inference(resolve,[$cnf( $equal(number_number_of_int(pls),pls) )],[refute_0_15,refute_0_18]) ).
cnf(refute_0_20,plain,
number_number_of_int(bit1(W_5)) = plus_plus_int(plus_plus_int(one_one_int,number_number_of_int(W_5)),number_number_of_int(W_5)),
inference(canonicalize,[],[normalize_0_5]) ).
cnf(refute_0_21,plain,
bit1(K_1) = plus_plus_int(plus_plus_int(one_one_int,K_1),K_1),
inference(canonicalize,[],[normalize_0_7]) ).
cnf(refute_0_22,plain,
plus_plus_int(Z,W) = plus_plus_int(W,Z),
inference(canonicalize,[],[normalize_0_9]) ).
cnf(refute_0_23,plain,
( plus_plus_int(Z,W) != plus_plus_int(W,Z)
| plus_plus_int(W,Z) = plus_plus_int(Z,W) ),
inference(subst,[],[refute_0_5:[bind(X,$fot(plus_plus_int(Z,W))),bind(Y,$fot(plus_plus_int(W,Z)))]]) ).
cnf(refute_0_24,plain,
plus_plus_int(W,Z) = plus_plus_int(Z,W),
inference(resolve,[$cnf( $equal(plus_plus_int(Z,W),plus_plus_int(W,Z)) )],[refute_0_22,refute_0_23]) ).
cnf(refute_0_25,plain,
plus_plus_int(plus_plus_int(one_one_int,K_1),K_1) = plus_plus_int(K_1,plus_plus_int(one_one_int,K_1)),
inference(subst,[],[refute_0_24:[bind(W,$fot(plus_plus_int(one_one_int,K_1))),bind(Z,$fot(K_1))]]) ).
cnf(refute_0_26,plain,
( bit1(K_1) != plus_plus_int(plus_plus_int(one_one_int,K_1),K_1)
| plus_plus_int(plus_plus_int(one_one_int,K_1),K_1) != plus_plus_int(K_1,plus_plus_int(one_one_int,K_1))
| bit1(K_1) = plus_plus_int(K_1,plus_plus_int(one_one_int,K_1)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(bit1(K_1),plus_plus_int(K_1,plus_plus_int(one_one_int,K_1))) ),[0],$fot(plus_plus_int(plus_plus_int(one_one_int,K_1),K_1))]]) ).
cnf(refute_0_27,plain,
( bit1(K_1) != plus_plus_int(plus_plus_int(one_one_int,K_1),K_1)
| bit1(K_1) = plus_plus_int(K_1,plus_plus_int(one_one_int,K_1)) ),
inference(resolve,[$cnf( $equal(plus_plus_int(plus_plus_int(one_one_int,K_1),K_1),plus_plus_int(K_1,plus_plus_int(one_one_int,K_1))) )],[refute_0_25,refute_0_26]) ).
cnf(refute_0_28,plain,
bit1(K_1) = plus_plus_int(K_1,plus_plus_int(one_one_int,K_1)),
inference(resolve,[$cnf( $equal(bit1(K_1),plus_plus_int(plus_plus_int(one_one_int,K_1),K_1)) )],[refute_0_21,refute_0_27]) ).
cnf(refute_0_29,plain,
( bit1(K_1) != plus_plus_int(K_1,plus_plus_int(one_one_int,K_1))
| plus_plus_int(K_1,plus_plus_int(one_one_int,K_1)) = bit1(K_1) ),
inference(subst,[],[refute_0_5:[bind(X,$fot(bit1(K_1))),bind(Y,$fot(plus_plus_int(K_1,plus_plus_int(one_one_int,K_1))))]]) ).
cnf(refute_0_30,plain,
plus_plus_int(K_1,plus_plus_int(one_one_int,K_1)) = bit1(K_1),
inference(resolve,[$cnf( $equal(bit1(K_1),plus_plus_int(K_1,plus_plus_int(one_one_int,K_1))) )],[refute_0_28,refute_0_29]) ).
cnf(refute_0_31,plain,
plus_plus_int(number_number_of_int(W_5),plus_plus_int(one_one_int,number_number_of_int(W_5))) = bit1(number_number_of_int(W_5)),
inference(subst,[],[refute_0_30:[bind(K_1,$fot(number_number_of_int(W_5)))]]) ).
cnf(refute_0_32,plain,
plus_plus_int(plus_plus_int(one_one_int,number_number_of_int(W_5)),number_number_of_int(W_5)) = plus_plus_int(number_number_of_int(W_5),plus_plus_int(one_one_int,number_number_of_int(W_5))),
inference(subst,[],[refute_0_24:[bind(W,$fot(plus_plus_int(one_one_int,number_number_of_int(W_5)))),bind(Z,$fot(number_number_of_int(W_5)))]]) ).
cnf(refute_0_33,plain,
( plus_plus_int(number_number_of_int(W_5),plus_plus_int(one_one_int,number_number_of_int(W_5))) != bit1(number_number_of_int(W_5))
| plus_plus_int(plus_plus_int(one_one_int,number_number_of_int(W_5)),number_number_of_int(W_5)) != plus_plus_int(number_number_of_int(W_5),plus_plus_int(one_one_int,number_number_of_int(W_5)))
| plus_plus_int(plus_plus_int(one_one_int,number_number_of_int(W_5)),number_number_of_int(W_5)) = bit1(number_number_of_int(W_5)) ),
inference(subst,[],[refute_0_12:[bind(X,$fot(plus_plus_int(plus_plus_int(one_one_int,number_number_of_int(W_5)),number_number_of_int(W_5)))),bind(Y,$fot(plus_plus_int(number_number_of_int(W_5),plus_plus_int(one_one_int,number_number_of_int(W_5))))),bind(Z0,$fot(bit1(number_number_of_int(W_5))))]]) ).
cnf(refute_0_34,plain,
( plus_plus_int(number_number_of_int(W_5),plus_plus_int(one_one_int,number_number_of_int(W_5))) != bit1(number_number_of_int(W_5))
| plus_plus_int(plus_plus_int(one_one_int,number_number_of_int(W_5)),number_number_of_int(W_5)) = bit1(number_number_of_int(W_5)) ),
inference(resolve,[$cnf( $equal(plus_plus_int(plus_plus_int(one_one_int,number_number_of_int(W_5)),number_number_of_int(W_5)),plus_plus_int(number_number_of_int(W_5),plus_plus_int(one_one_int,number_number_of_int(W_5)))) )],[refute_0_32,refute_0_33]) ).
cnf(refute_0_35,plain,
plus_plus_int(plus_plus_int(one_one_int,number_number_of_int(W_5)),number_number_of_int(W_5)) = bit1(number_number_of_int(W_5)),
inference(resolve,[$cnf( $equal(plus_plus_int(number_number_of_int(W_5),plus_plus_int(one_one_int,number_number_of_int(W_5))),bit1(number_number_of_int(W_5))) )],[refute_0_31,refute_0_34]) ).
cnf(refute_0_36,plain,
( number_number_of_int(bit1(W_5)) != plus_plus_int(plus_plus_int(one_one_int,number_number_of_int(W_5)),number_number_of_int(W_5))
| plus_plus_int(plus_plus_int(one_one_int,number_number_of_int(W_5)),number_number_of_int(W_5)) != bit1(number_number_of_int(W_5))
| number_number_of_int(bit1(W_5)) = bit1(number_number_of_int(W_5)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(number_number_of_int(bit1(W_5)),bit1(number_number_of_int(W_5))) ),[0],$fot(plus_plus_int(plus_plus_int(one_one_int,number_number_of_int(W_5)),number_number_of_int(W_5)))]]) ).
cnf(refute_0_37,plain,
( number_number_of_int(bit1(W_5)) != plus_plus_int(plus_plus_int(one_one_int,number_number_of_int(W_5)),number_number_of_int(W_5))
| number_number_of_int(bit1(W_5)) = bit1(number_number_of_int(W_5)) ),
inference(resolve,[$cnf( $equal(plus_plus_int(plus_plus_int(one_one_int,number_number_of_int(W_5)),number_number_of_int(W_5)),bit1(number_number_of_int(W_5))) )],[refute_0_35,refute_0_36]) ).
cnf(refute_0_38,plain,
number_number_of_int(bit1(W_5)) = bit1(number_number_of_int(W_5)),
inference(resolve,[$cnf( $equal(number_number_of_int(bit1(W_5)),plus_plus_int(plus_plus_int(one_one_int,number_number_of_int(W_5)),number_number_of_int(W_5))) )],[refute_0_20,refute_0_37]) ).
cnf(refute_0_39,plain,
number_number_of_int(bit1(pls)) = bit1(number_number_of_int(pls)),
inference(subst,[],[refute_0_38:[bind(W_5,$fot(pls))]]) ).
cnf(refute_0_40,plain,
( bit1(number_number_of_int(pls)) != bit1(pls)
| number_number_of_int(bit1(pls)) != bit1(number_number_of_int(pls))
| number_number_of_int(bit1(pls)) = bit1(pls) ),
inference(subst,[],[refute_0_12:[bind(X,$fot(number_number_of_int(bit1(pls)))),bind(Y,$fot(bit1(number_number_of_int(pls)))),bind(Z0,$fot(bit1(pls)))]]) ).
cnf(refute_0_41,plain,
( bit1(number_number_of_int(pls)) != bit1(pls)
| number_number_of_int(bit1(pls)) = bit1(pls) ),
inference(resolve,[$cnf( $equal(number_number_of_int(bit1(pls)),bit1(number_number_of_int(pls))) )],[refute_0_39,refute_0_40]) ).
cnf(refute_0_42,plain,
number_number_of_int(bit1(pls)) = bit1(pls),
inference(resolve,[$cnf( $equal(bit1(number_number_of_int(pls)),bit1(pls)) )],[refute_0_19,refute_0_41]) ).
cnf(refute_0_43,plain,
( number_number_of_int(bit1(pls)) != bit1(pls)
| number_number_of_int(bit1(pls)) != one_one_int
| bit1(pls) = one_one_int ),
introduced(tautology,[equality,[$cnf( $equal(number_number_of_int(bit1(pls)),one_one_int) ),[0],$fot(bit1(pls))]]) ).
cnf(refute_0_44,plain,
( number_number_of_int(bit1(pls)) != one_one_int
| bit1(pls) = one_one_int ),
inference(resolve,[$cnf( $equal(number_number_of_int(bit1(pls)),bit1(pls)) )],[refute_0_42,refute_0_43]) ).
cnf(refute_0_45,plain,
bit1(pls) = one_one_int,
inference(resolve,[$cnf( $equal(number_number_of_int(bit1(pls)),one_one_int) )],[refute_0_1,refute_0_44]) ).
cnf(refute_0_46,plain,
bit0(bit1(pls)) = bit0(bit1(pls)),
introduced(tautology,[refl,[$fot(bit0(bit1(pls)))]]) ).
cnf(refute_0_47,plain,
( bit0(bit1(pls)) != bit0(bit1(pls))
| bit1(pls) != one_one_int
| bit0(bit1(pls)) = bit0(one_one_int) ),
introduced(tautology,[equality,[$cnf( $equal(bit0(bit1(pls)),bit0(bit1(pls))) ),[1,0],$fot(one_one_int)]]) ).
cnf(refute_0_48,plain,
( bit1(pls) != one_one_int
| bit0(bit1(pls)) = bit0(one_one_int) ),
inference(resolve,[$cnf( $equal(bit0(bit1(pls)),bit0(bit1(pls))) )],[refute_0_46,refute_0_47]) ).
cnf(refute_0_49,plain,
bit0(bit1(pls)) = bit0(one_one_int),
inference(resolve,[$cnf( $equal(bit1(pls),one_one_int) )],[refute_0_45,refute_0_48]) ).
cnf(refute_0_50,plain,
bit0(bit0(bit1(pls))) = bit0(bit0(bit1(pls))),
introduced(tautology,[refl,[$fot(bit0(bit0(bit1(pls))))]]) ).
cnf(refute_0_51,plain,
( bit0(bit0(bit1(pls))) != bit0(bit0(bit1(pls)))
| bit0(bit1(pls)) != bit0(one_one_int)
| bit0(bit0(bit1(pls))) = bit0(bit0(one_one_int)) ),
introduced(tautology,[equality,[$cnf( $equal(bit0(bit0(bit1(pls))),bit0(bit0(bit1(pls)))) ),[1,0],$fot(bit0(one_one_int))]]) ).
cnf(refute_0_52,plain,
( bit0(bit1(pls)) != bit0(one_one_int)
| bit0(bit0(bit1(pls))) = bit0(bit0(one_one_int)) ),
inference(resolve,[$cnf( $equal(bit0(bit0(bit1(pls))),bit0(bit0(bit1(pls)))) )],[refute_0_50,refute_0_51]) ).
cnf(refute_0_53,plain,
bit0(bit0(bit1(pls))) = bit0(bit0(one_one_int)),
inference(resolve,[$cnf( $equal(bit0(bit1(pls)),bit0(one_one_int)) )],[refute_0_49,refute_0_52]) ).
cnf(refute_0_54,plain,
number_number_of_int(bit0(bit0(bit1(pls)))) = number_number_of_int(bit0(bit0(bit1(pls)))),
introduced(tautology,[refl,[$fot(number_number_of_int(bit0(bit0(bit1(pls)))))]]) ).
cnf(refute_0_55,plain,
( bit0(bit0(bit1(pls))) != bit0(bit0(one_one_int))
| number_number_of_int(bit0(bit0(bit1(pls)))) != number_number_of_int(bit0(bit0(bit1(pls))))
| number_number_of_int(bit0(bit0(bit1(pls)))) = number_number_of_int(bit0(bit0(one_one_int))) ),
introduced(tautology,[equality,[$cnf( $equal(number_number_of_int(bit0(bit0(bit1(pls)))),number_number_of_int(bit0(bit0(bit1(pls))))) ),[1,0],$fot(bit0(bit0(one_one_int)))]]) ).
cnf(refute_0_56,plain,
( bit0(bit0(bit1(pls))) != bit0(bit0(one_one_int))
| number_number_of_int(bit0(bit0(bit1(pls)))) = number_number_of_int(bit0(bit0(one_one_int))) ),
inference(resolve,[$cnf( $equal(number_number_of_int(bit0(bit0(bit1(pls)))),number_number_of_int(bit0(bit0(bit1(pls))))) )],[refute_0_54,refute_0_55]) ).
cnf(refute_0_57,plain,
number_number_of_int(bit0(bit0(bit1(pls)))) = number_number_of_int(bit0(bit0(one_one_int))),
inference(resolve,[$cnf( $equal(bit0(bit0(bit1(pls))),bit0(bit0(one_one_int))) )],[refute_0_53,refute_0_56]) ).
cnf(refute_0_58,plain,
times_times_int(t,number_number_of_int(bit0(bit0(bit1(pls))))) = times_times_int(t,number_number_of_int(bit0(bit0(bit1(pls))))),
introduced(tautology,[refl,[$fot(times_times_int(t,number_number_of_int(bit0(bit0(bit1(pls))))))]]) ).
cnf(refute_0_59,plain,
( number_number_of_int(bit0(bit0(bit1(pls)))) != number_number_of_int(bit0(bit0(one_one_int)))
| times_times_int(t,number_number_of_int(bit0(bit0(bit1(pls))))) != times_times_int(t,number_number_of_int(bit0(bit0(bit1(pls)))))
| times_times_int(t,number_number_of_int(bit0(bit0(bit1(pls))))) = times_times_int(t,number_number_of_int(bit0(bit0(one_one_int)))) ),
introduced(tautology,[equality,[$cnf( $equal(times_times_int(t,number_number_of_int(bit0(bit0(bit1(pls))))),times_times_int(t,number_number_of_int(bit0(bit0(bit1(pls)))))) ),[1,1],$fot(number_number_of_int(bit0(bit0(one_one_int))))]]) ).
cnf(refute_0_60,plain,
( number_number_of_int(bit0(bit0(bit1(pls)))) != number_number_of_int(bit0(bit0(one_one_int)))
| times_times_int(t,number_number_of_int(bit0(bit0(bit1(pls))))) = times_times_int(t,number_number_of_int(bit0(bit0(one_one_int)))) ),
inference(resolve,[$cnf( $equal(times_times_int(t,number_number_of_int(bit0(bit0(bit1(pls))))),times_times_int(t,number_number_of_int(bit0(bit0(bit1(pls)))))) )],[refute_0_58,refute_0_59]) ).
cnf(refute_0_61,plain,
times_times_int(t,number_number_of_int(bit0(bit0(bit1(pls))))) = times_times_int(t,number_number_of_int(bit0(bit0(one_one_int)))),
inference(resolve,[$cnf( $equal(number_number_of_int(bit0(bit0(bit1(pls)))),number_number_of_int(bit0(bit0(one_one_int)))) )],[refute_0_57,refute_0_60]) ).
cnf(refute_0_62,plain,
times_times_int(m,times_times_int(t,number_number_of_int(bit0(bit0(bit1(pls)))))) = times_times_int(m,times_times_int(t,number_number_of_int(bit0(bit0(bit1(pls)))))),
introduced(tautology,[refl,[$fot(times_times_int(m,times_times_int(t,number_number_of_int(bit0(bit0(bit1(pls)))))))]]) ).
cnf(refute_0_63,plain,
( times_times_int(m,times_times_int(t,number_number_of_int(bit0(bit0(bit1(pls)))))) != times_times_int(m,times_times_int(t,number_number_of_int(bit0(bit0(bit1(pls))))))
| times_times_int(t,number_number_of_int(bit0(bit0(bit1(pls))))) != times_times_int(t,number_number_of_int(bit0(bit0(one_one_int))))
| times_times_int(m,times_times_int(t,number_number_of_int(bit0(bit0(bit1(pls)))))) = times_times_int(m,times_times_int(t,number_number_of_int(bit0(bit0(one_one_int))))) ),
introduced(tautology,[equality,[$cnf( $equal(times_times_int(m,times_times_int(t,number_number_of_int(bit0(bit0(bit1(pls)))))),times_times_int(m,times_times_int(t,number_number_of_int(bit0(bit0(bit1(pls))))))) ),[1,1],$fot(times_times_int(t,number_number_of_int(bit0(bit0(one_one_int)))))]]) ).
cnf(refute_0_64,plain,
( times_times_int(t,number_number_of_int(bit0(bit0(bit1(pls))))) != times_times_int(t,number_number_of_int(bit0(bit0(one_one_int))))
| times_times_int(m,times_times_int(t,number_number_of_int(bit0(bit0(bit1(pls)))))) = times_times_int(m,times_times_int(t,number_number_of_int(bit0(bit0(one_one_int))))) ),
inference(resolve,[$cnf( $equal(times_times_int(m,times_times_int(t,number_number_of_int(bit0(bit0(bit1(pls)))))),times_times_int(m,times_times_int(t,number_number_of_int(bit0(bit0(bit1(pls))))))) )],[refute_0_62,refute_0_63]) ).
cnf(refute_0_65,plain,
times_times_int(m,times_times_int(t,number_number_of_int(bit0(bit0(bit1(pls)))))) = times_times_int(m,times_times_int(t,number_number_of_int(bit0(bit0(one_one_int))))),
inference(resolve,[$cnf( $equal(times_times_int(t,number_number_of_int(bit0(bit0(bit1(pls))))),times_times_int(t,number_number_of_int(bit0(bit0(one_one_int))))) )],[refute_0_61,refute_0_64]) ).
cnf(refute_0_66,plain,
times_times_int(times_times_int(Lx_3,Ly_1),Rx_3) = times_times_int(times_times_int(Lx_3,Rx_3),Ly_1),
inference(canonicalize,[],[normalize_0_11]) ).
cnf(refute_0_67,plain,
times_times_int(times_times_int(Z1,Z2),Z3) = times_times_int(Z1,times_times_int(Z2,Z3)),
inference(canonicalize,[],[normalize_0_13]) ).
cnf(refute_0_68,plain,
times_times_int(times_times_int(Lx_3,Ly_1),Rx_3) = times_times_int(Lx_3,times_times_int(Ly_1,Rx_3)),
inference(subst,[],[refute_0_67:[bind(Z1,$fot(Lx_3)),bind(Z2,$fot(Ly_1)),bind(Z3,$fot(Rx_3))]]) ).
cnf(refute_0_69,plain,
( times_times_int(times_times_int(Lx_3,Ly_1),Rx_3) != times_times_int(Lx_3,times_times_int(Ly_1,Rx_3))
| times_times_int(times_times_int(Lx_3,Ly_1),Rx_3) != times_times_int(times_times_int(Lx_3,Rx_3),Ly_1)
| times_times_int(Lx_3,times_times_int(Ly_1,Rx_3)) = times_times_int(times_times_int(Lx_3,Rx_3),Ly_1) ),
introduced(tautology,[equality,[$cnf( $equal(times_times_int(times_times_int(Lx_3,Ly_1),Rx_3),times_times_int(times_times_int(Lx_3,Rx_3),Ly_1)) ),[0],$fot(times_times_int(Lx_3,times_times_int(Ly_1,Rx_3)))]]) ).
cnf(refute_0_70,plain,
( times_times_int(times_times_int(Lx_3,Ly_1),Rx_3) != times_times_int(times_times_int(Lx_3,Rx_3),Ly_1)
| times_times_int(Lx_3,times_times_int(Ly_1,Rx_3)) = times_times_int(times_times_int(Lx_3,Rx_3),Ly_1) ),
inference(resolve,[$cnf( $equal(times_times_int(times_times_int(Lx_3,Ly_1),Rx_3),times_times_int(Lx_3,times_times_int(Ly_1,Rx_3))) )],[refute_0_68,refute_0_69]) ).
cnf(refute_0_71,plain,
times_times_int(times_times_int(Lx_3,Rx_3),Ly_1) = times_times_int(Lx_3,times_times_int(Rx_3,Ly_1)),
inference(subst,[],[refute_0_67:[bind(Z1,$fot(Lx_3)),bind(Z2,$fot(Rx_3)),bind(Z3,$fot(Ly_1))]]) ).
cnf(refute_0_72,plain,
( times_times_int(Lx_3,times_times_int(Ly_1,Rx_3)) != times_times_int(times_times_int(Lx_3,Rx_3),Ly_1)
| times_times_int(times_times_int(Lx_3,Rx_3),Ly_1) != times_times_int(Lx_3,times_times_int(Rx_3,Ly_1))
| times_times_int(Lx_3,times_times_int(Ly_1,Rx_3)) = times_times_int(Lx_3,times_times_int(Rx_3,Ly_1)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(times_times_int(Lx_3,times_times_int(Ly_1,Rx_3)),times_times_int(Lx_3,times_times_int(Rx_3,Ly_1))) ),[0],$fot(times_times_int(times_times_int(Lx_3,Rx_3),Ly_1))]]) ).
cnf(refute_0_73,plain,
( times_times_int(Lx_3,times_times_int(Ly_1,Rx_3)) != times_times_int(times_times_int(Lx_3,Rx_3),Ly_1)
| times_times_int(Lx_3,times_times_int(Ly_1,Rx_3)) = times_times_int(Lx_3,times_times_int(Rx_3,Ly_1)) ),
inference(resolve,[$cnf( $equal(times_times_int(times_times_int(Lx_3,Rx_3),Ly_1),times_times_int(Lx_3,times_times_int(Rx_3,Ly_1))) )],[refute_0_71,refute_0_72]) ).
cnf(refute_0_74,plain,
( times_times_int(times_times_int(Lx_3,Ly_1),Rx_3) != times_times_int(times_times_int(Lx_3,Rx_3),Ly_1)
| times_times_int(Lx_3,times_times_int(Ly_1,Rx_3)) = times_times_int(Lx_3,times_times_int(Rx_3,Ly_1)) ),
inference(resolve,[$cnf( $equal(times_times_int(Lx_3,times_times_int(Ly_1,Rx_3)),times_times_int(times_times_int(Lx_3,Rx_3),Ly_1)) )],[refute_0_70,refute_0_73]) ).
cnf(refute_0_75,plain,
times_times_int(Lx_3,times_times_int(Ly_1,Rx_3)) = times_times_int(Lx_3,times_times_int(Rx_3,Ly_1)),
inference(resolve,[$cnf( $equal(times_times_int(times_times_int(Lx_3,Ly_1),Rx_3),times_times_int(times_times_int(Lx_3,Rx_3),Ly_1)) )],[refute_0_66,refute_0_74]) ).
cnf(refute_0_76,plain,
( times_times_int(Lx_3,times_times_int(Ly_1,Rx_3)) != times_times_int(Lx_3,times_times_int(Rx_3,Ly_1))
| times_times_int(Lx_3,times_times_int(Rx_3,Ly_1)) = times_times_int(Lx_3,times_times_int(Ly_1,Rx_3)) ),
inference(subst,[],[refute_0_5:[bind(X,$fot(times_times_int(Lx_3,times_times_int(Ly_1,Rx_3)))),bind(Y,$fot(times_times_int(Lx_3,times_times_int(Rx_3,Ly_1))))]]) ).
cnf(refute_0_77,plain,
times_times_int(Lx_3,times_times_int(Rx_3,Ly_1)) = times_times_int(Lx_3,times_times_int(Ly_1,Rx_3)),
inference(resolve,[$cnf( $equal(times_times_int(Lx_3,times_times_int(Ly_1,Rx_3)),times_times_int(Lx_3,times_times_int(Rx_3,Ly_1))) )],[refute_0_75,refute_0_76]) ).
cnf(refute_0_78,plain,
times_times_int(m,times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),t)) = times_times_int(m,times_times_int(t,number_number_of_int(bit0(bit0(bit1(pls)))))),
inference(subst,[],[refute_0_77:[bind(Lx_3,$fot(m)),bind(Ly_1,$fot(t)),bind(Rx_3,$fot(number_number_of_int(bit0(bit0(bit1(pls))))))]]) ).
cnf(refute_0_79,plain,
times_times_int(Lx,times_times_int(Rx,Ry)) = times_times_int(Rx,times_times_int(Lx,Ry)),
inference(canonicalize,[],[normalize_0_15]) ).
cnf(refute_0_80,plain,
( times_times_int(Lx,times_times_int(Rx,Ry)) != times_times_int(Rx,times_times_int(Lx,Ry))
| times_times_int(Rx,times_times_int(Lx,Ry)) = times_times_int(Lx,times_times_int(Rx,Ry)) ),
inference(subst,[],[refute_0_5:[bind(X,$fot(times_times_int(Lx,times_times_int(Rx,Ry)))),bind(Y,$fot(times_times_int(Rx,times_times_int(Lx,Ry))))]]) ).
cnf(refute_0_81,plain,
times_times_int(Rx,times_times_int(Lx,Ry)) = times_times_int(Lx,times_times_int(Rx,Ry)),
inference(resolve,[$cnf( $equal(times_times_int(Lx,times_times_int(Rx,Ry)),times_times_int(Rx,times_times_int(Lx,Ry))) )],[refute_0_79,refute_0_80]) ).
cnf(refute_0_82,plain,
times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),times_times_int(m,t)) = times_times_int(m,times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),t)),
inference(subst,[],[refute_0_81:[bind(Lx,$fot(m)),bind(Rx,$fot(number_number_of_int(bit0(bit0(bit1(pls)))))),bind(Ry,$fot(t))]]) ).
cnf(refute_0_83,plain,
( times_times_int(m,times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),t)) != times_times_int(m,times_times_int(t,number_number_of_int(bit0(bit0(bit1(pls))))))
| times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),times_times_int(m,t)) != times_times_int(m,times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),t))
| times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),times_times_int(m,t)) = times_times_int(m,times_times_int(t,number_number_of_int(bit0(bit0(bit1(pls)))))) ),
inference(subst,[],[refute_0_12:[bind(X,$fot(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),times_times_int(m,t)))),bind(Y,$fot(times_times_int(m,times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),t)))),bind(Z0,$fot(times_times_int(m,times_times_int(t,number_number_of_int(bit0(bit0(bit1(pls))))))))]]) ).
cnf(refute_0_84,plain,
( times_times_int(m,times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),t)) != times_times_int(m,times_times_int(t,number_number_of_int(bit0(bit0(bit1(pls))))))
| times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),times_times_int(m,t)) = times_times_int(m,times_times_int(t,number_number_of_int(bit0(bit0(bit1(pls)))))) ),
inference(resolve,[$cnf( $equal(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),times_times_int(m,t)),times_times_int(m,times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),t))) )],[refute_0_82,refute_0_83]) ).
cnf(refute_0_85,plain,
times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),times_times_int(m,t)) = times_times_int(m,times_times_int(t,number_number_of_int(bit0(bit0(bit1(pls)))))),
inference(resolve,[$cnf( $equal(times_times_int(m,times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),t)),times_times_int(m,times_times_int(t,number_number_of_int(bit0(bit0(bit1(pls))))))) )],[refute_0_78,refute_0_84]) ).
cnf(refute_0_86,plain,
times_times_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),t) = times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),times_times_int(m,t)),
inference(subst,[],[refute_0_67:[bind(Z1,$fot(number_number_of_int(bit0(bit0(bit1(pls)))))),bind(Z2,$fot(m)),bind(Z3,$fot(t))]]) ).
cnf(refute_0_87,plain,
( times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),times_times_int(m,t)) != times_times_int(m,times_times_int(t,number_number_of_int(bit0(bit0(bit1(pls))))))
| times_times_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),t) != times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),times_times_int(m,t))
| times_times_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),t) = times_times_int(m,times_times_int(t,number_number_of_int(bit0(bit0(bit1(pls)))))) ),
inference(subst,[],[refute_0_12:[bind(X,$fot(times_times_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),t))),bind(Y,$fot(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),times_times_int(m,t)))),bind(Z0,$fot(times_times_int(m,times_times_int(t,number_number_of_int(bit0(bit0(bit1(pls))))))))]]) ).
cnf(refute_0_88,plain,
( times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),times_times_int(m,t)) != times_times_int(m,times_times_int(t,number_number_of_int(bit0(bit0(bit1(pls))))))
| times_times_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),t) = times_times_int(m,times_times_int(t,number_number_of_int(bit0(bit0(bit1(pls)))))) ),
inference(resolve,[$cnf( $equal(times_times_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),t),times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),times_times_int(m,t))) )],[refute_0_86,refute_0_87]) ).
cnf(refute_0_89,plain,
times_times_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),t) = times_times_int(m,times_times_int(t,number_number_of_int(bit0(bit0(bit1(pls)))))),
inference(resolve,[$cnf( $equal(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),times_times_int(m,t)),times_times_int(m,times_times_int(t,number_number_of_int(bit0(bit0(bit1(pls))))))) )],[refute_0_85,refute_0_88]) ).
cnf(refute_0_90,plain,
( times_times_int(m,times_times_int(t,number_number_of_int(bit0(bit0(bit1(pls)))))) != times_times_int(m,times_times_int(t,number_number_of_int(bit0(bit0(one_one_int)))))
| times_times_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),t) != times_times_int(m,times_times_int(t,number_number_of_int(bit0(bit0(bit1(pls))))))
| times_times_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),t) = times_times_int(m,times_times_int(t,number_number_of_int(bit0(bit0(one_one_int))))) ),
inference(subst,[],[refute_0_12:[bind(X,$fot(times_times_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),t))),bind(Y,$fot(times_times_int(m,times_times_int(t,number_number_of_int(bit0(bit0(bit1(pls)))))))),bind(Z0,$fot(times_times_int(m,times_times_int(t,number_number_of_int(bit0(bit0(one_one_int)))))))]]) ).
cnf(refute_0_91,plain,
( times_times_int(m,times_times_int(t,number_number_of_int(bit0(bit0(bit1(pls)))))) != times_times_int(m,times_times_int(t,number_number_of_int(bit0(bit0(one_one_int)))))
| times_times_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),t) = times_times_int(m,times_times_int(t,number_number_of_int(bit0(bit0(one_one_int))))) ),
inference(resolve,[$cnf( $equal(times_times_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),t),times_times_int(m,times_times_int(t,number_number_of_int(bit0(bit0(bit1(pls))))))) )],[refute_0_89,refute_0_90]) ).
cnf(refute_0_92,plain,
times_times_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),t) = times_times_int(m,times_times_int(t,number_number_of_int(bit0(bit0(one_one_int))))),
inference(resolve,[$cnf( $equal(times_times_int(m,times_times_int(t,number_number_of_int(bit0(bit0(bit1(pls)))))),times_times_int(m,times_times_int(t,number_number_of_int(bit0(bit0(one_one_int)))))) )],[refute_0_65,refute_0_91]) ).
cnf(refute_0_93,plain,
plus_plus_int(t,times_times_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),t)) = plus_plus_int(t,times_times_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),t)),
introduced(tautology,[refl,[$fot(plus_plus_int(t,times_times_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),t)))]]) ).
cnf(refute_0_94,plain,
( plus_plus_int(t,times_times_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),t)) != plus_plus_int(t,times_times_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),t))
| times_times_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),t) != times_times_int(m,times_times_int(t,number_number_of_int(bit0(bit0(one_one_int)))))
| plus_plus_int(t,times_times_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),t)) = plus_plus_int(t,times_times_int(m,times_times_int(t,number_number_of_int(bit0(bit0(one_one_int)))))) ),
introduced(tautology,[equality,[$cnf( $equal(plus_plus_int(t,times_times_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),t)),plus_plus_int(t,times_times_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),t))) ),[1,1],$fot(times_times_int(m,times_times_int(t,number_number_of_int(bit0(bit0(one_one_int))))))]]) ).
cnf(refute_0_95,plain,
( times_times_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),t) != times_times_int(m,times_times_int(t,number_number_of_int(bit0(bit0(one_one_int)))))
| plus_plus_int(t,times_times_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),t)) = plus_plus_int(t,times_times_int(m,times_times_int(t,number_number_of_int(bit0(bit0(one_one_int)))))) ),
inference(resolve,[$cnf( $equal(plus_plus_int(t,times_times_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),t)),plus_plus_int(t,times_times_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),t))) )],[refute_0_93,refute_0_94]) ).
cnf(refute_0_96,plain,
plus_plus_int(t,times_times_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),t)) = plus_plus_int(t,times_times_int(m,times_times_int(t,number_number_of_int(bit0(bit0(one_one_int)))))),
inference(resolve,[$cnf( $equal(times_times_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),t),times_times_int(m,times_times_int(t,number_number_of_int(bit0(bit0(one_one_int)))))) )],[refute_0_92,refute_0_95]) ).
cnf(refute_0_97,plain,
plus_plus_int(M_10,times_times_int(A_28,M_10)) = times_times_int(plus_plus_int(A_28,one_one_int),M_10),
inference(canonicalize,[],[normalize_0_17]) ).
cnf(refute_0_98,plain,
( plus_plus_int(M_10,times_times_int(A_28,M_10)) != times_times_int(plus_plus_int(A_28,one_one_int),M_10)
| times_times_int(plus_plus_int(A_28,one_one_int),M_10) = plus_plus_int(M_10,times_times_int(A_28,M_10)) ),
inference(subst,[],[refute_0_5:[bind(X,$fot(plus_plus_int(M_10,times_times_int(A_28,M_10)))),bind(Y,$fot(times_times_int(plus_plus_int(A_28,one_one_int),M_10)))]]) ).
cnf(refute_0_99,plain,
times_times_int(plus_plus_int(A_28,one_one_int),M_10) = plus_plus_int(M_10,times_times_int(A_28,M_10)),
inference(resolve,[$cnf( $equal(plus_plus_int(M_10,times_times_int(A_28,M_10)),times_times_int(plus_plus_int(A_28,one_one_int),M_10)) )],[refute_0_97,refute_0_98]) ).
cnf(refute_0_100,plain,
times_times_int(plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int),t) = plus_plus_int(t,times_times_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),t)),
inference(subst,[],[refute_0_99:[bind(A_28,$fot(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m))),bind(M_10,$fot(t))]]) ).
cnf(refute_0_101,plain,
( plus_plus_int(t,times_times_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),t)) != plus_plus_int(t,times_times_int(m,times_times_int(t,number_number_of_int(bit0(bit0(one_one_int))))))
| times_times_int(plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int),t) != plus_plus_int(t,times_times_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),t))
| times_times_int(plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int),t) = plus_plus_int(t,times_times_int(m,times_times_int(t,number_number_of_int(bit0(bit0(one_one_int)))))) ),
inference(subst,[],[refute_0_12:[bind(X,$fot(times_times_int(plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int),t))),bind(Y,$fot(plus_plus_int(t,times_times_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),t)))),bind(Z0,$fot(plus_plus_int(t,times_times_int(m,times_times_int(t,number_number_of_int(bit0(bit0(one_one_int))))))))]]) ).
cnf(refute_0_102,plain,
( plus_plus_int(t,times_times_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),t)) != plus_plus_int(t,times_times_int(m,times_times_int(t,number_number_of_int(bit0(bit0(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) = plus_plus_int(t,times_times_int(m,times_times_int(t,number_number_of_int(bit0(bit0(one_one_int)))))) ),
inference(resolve,[$cnf( $equal(times_times_int(plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int),t),plus_plus_int(t,times_times_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),t))) )],[refute_0_100,refute_0_101]) ).
cnf(refute_0_103,plain,
times_times_int(plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int),t) = plus_plus_int(t,times_times_int(m,times_times_int(t,number_number_of_int(bit0(bit0(one_one_int)))))),
inference(resolve,[$cnf( $equal(plus_plus_int(t,times_times_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),t)),plus_plus_int(t,times_times_int(m,times_times_int(t,number_number_of_int(bit0(bit0(one_one_int))))))) )],[refute_0_96,refute_0_102]) ).
cnf(refute_0_104,plain,
( times_times_int(plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int),t) != plus_plus_int(t,times_times_int(m,times_times_int(t,number_number_of_int(bit0(bit0(one_one_int))))))
| ~ ord_less_int(times_times_int(plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int),t),times_times_int(plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int),zero_zero_int))
| ord_less_int(plus_plus_int(t,times_times_int(m,times_times_int(t,number_number_of_int(bit0(bit0(one_one_int)))))),times_times_int(plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int),zero_zero_int)) ),
introduced(tautology,[equality,[$cnf( 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)) ),[0],$fot(plus_plus_int(t,times_times_int(m,times_times_int(t,number_number_of_int(bit0(bit0(one_one_int)))))))]]) ).
cnf(refute_0_105,plain,
( ~ ord_less_int(times_times_int(plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int),t),times_times_int(plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int),zero_zero_int))
| ord_less_int(plus_plus_int(t,times_times_int(m,times_times_int(t,number_number_of_int(bit0(bit0(one_one_int)))))),times_times_int(plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int),zero_zero_int)) ),
inference(resolve,[$cnf( $equal(times_times_int(plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int),t),plus_plus_int(t,times_times_int(m,times_times_int(t,number_number_of_int(bit0(bit0(one_one_int))))))) )],[refute_0_103,refute_0_104]) ).
cnf(refute_0_106,plain,
bit0(pls) = pls,
inference(canonicalize,[],[normalize_0_18]) ).
cnf(refute_0_107,plain,
bit0(K_1) = plus_plus_int(K_1,K_1),
inference(canonicalize,[],[normalize_0_20]) ).
cnf(refute_0_108,plain,
( bit0(K_1) != plus_plus_int(K_1,K_1)
| plus_plus_int(K_1,K_1) = bit0(K_1) ),
inference(subst,[],[refute_0_5:[bind(X,$fot(bit0(K_1))),bind(Y,$fot(plus_plus_int(K_1,K_1)))]]) ).
cnf(refute_0_109,plain,
plus_plus_int(K_1,K_1) = bit0(K_1),
inference(resolve,[$cnf( $equal(bit0(K_1),plus_plus_int(K_1,K_1)) )],[refute_0_107,refute_0_108]) ).
cnf(refute_0_110,plain,
plus_plus_int(pls,pls) = bit0(pls),
inference(subst,[],[refute_0_109:[bind(K_1,$fot(pls))]]) ).
cnf(refute_0_111,plain,
( bit0(pls) != pls
| plus_plus_int(pls,pls) != bit0(pls)
| plus_plus_int(pls,pls) = pls ),
inference(subst,[],[refute_0_12:[bind(X,$fot(plus_plus_int(pls,pls))),bind(Y,$fot(bit0(pls))),bind(Z0,$fot(pls))]]) ).
cnf(refute_0_112,plain,
( bit0(pls) != pls
| plus_plus_int(pls,pls) = pls ),
inference(resolve,[$cnf( $equal(plus_plus_int(pls,pls),bit0(pls)) )],[refute_0_110,refute_0_111]) ).
cnf(refute_0_113,plain,
plus_plus_int(pls,pls) = pls,
inference(resolve,[$cnf( $equal(bit0(pls),pls) )],[refute_0_106,refute_0_112]) ).
cnf(refute_0_114,plain,
times_times_int(A_37,zero_zero_int) = zero_zero_int,
inference(canonicalize,[],[normalize_0_22]) ).
cnf(refute_0_115,plain,
times_times_int(A_37,zero_zero_int) = times_times_int(A_37,zero_zero_int),
introduced(tautology,[refl,[$fot(times_times_int(A_37,zero_zero_int))]]) ).
cnf(refute_0_116,plain,
( times_times_int(A_37,zero_zero_int) != times_times_int(A_37,zero_zero_int)
| zero_zero_int != pls
| times_times_int(A_37,zero_zero_int) = times_times_int(A_37,pls) ),
introduced(tautology,[equality,[$cnf( $equal(times_times_int(A_37,zero_zero_int),times_times_int(A_37,zero_zero_int)) ),[1,1],$fot(pls)]]) ).
cnf(refute_0_117,plain,
( zero_zero_int != pls
| times_times_int(A_37,zero_zero_int) = times_times_int(A_37,pls) ),
inference(resolve,[$cnf( $equal(times_times_int(A_37,zero_zero_int),times_times_int(A_37,zero_zero_int)) )],[refute_0_115,refute_0_116]) ).
cnf(refute_0_118,plain,
times_times_int(A_37,zero_zero_int) = times_times_int(A_37,pls),
inference(resolve,[$cnf( $equal(zero_zero_int,pls) )],[refute_0_7,refute_0_117]) ).
cnf(refute_0_119,plain,
( times_times_int(A_37,zero_zero_int) != times_times_int(A_37,pls)
| times_times_int(A_37,zero_zero_int) != zero_zero_int
| times_times_int(A_37,pls) = zero_zero_int ),
introduced(tautology,[equality,[$cnf( $equal(times_times_int(A_37,zero_zero_int),zero_zero_int) ),[0],$fot(times_times_int(A_37,pls))]]) ).
cnf(refute_0_120,plain,
( times_times_int(A_37,zero_zero_int) != zero_zero_int
| times_times_int(A_37,pls) = zero_zero_int ),
inference(resolve,[$cnf( $equal(times_times_int(A_37,zero_zero_int),times_times_int(A_37,pls)) )],[refute_0_118,refute_0_119]) ).
cnf(refute_0_121,plain,
( times_times_int(A_37,pls) != zero_zero_int
| zero_zero_int != pls
| times_times_int(A_37,pls) = pls ),
introduced(tautology,[equality,[$cnf( ~ $equal(times_times_int(A_37,pls),pls) ),[0],$fot(zero_zero_int)]]) ).
cnf(refute_0_122,plain,
( times_times_int(A_37,pls) != zero_zero_int
| times_times_int(A_37,pls) = pls ),
inference(resolve,[$cnf( $equal(zero_zero_int,pls) )],[refute_0_7,refute_0_121]) ).
cnf(refute_0_123,plain,
( times_times_int(A_37,zero_zero_int) != zero_zero_int
| times_times_int(A_37,pls) = pls ),
inference(resolve,[$cnf( $equal(times_times_int(A_37,pls),zero_zero_int) )],[refute_0_120,refute_0_122]) ).
cnf(refute_0_124,plain,
times_times_int(A_37,pls) = pls,
inference(resolve,[$cnf( $equal(times_times_int(A_37,zero_zero_int),zero_zero_int) )],[refute_0_114,refute_0_123]) ).
cnf(refute_0_125,plain,
times_times_int(m,pls) = pls,
inference(subst,[],[refute_0_124:[bind(A_37,$fot(m))]]) ).
cnf(refute_0_126,plain,
times_times_int(pls,W) = pls,
inference(canonicalize,[],[normalize_0_24]) ).
cnf(refute_0_127,plain,
times_times_int(pls,number_number_of_int(bit0(bit0(one_one_int)))) = pls,
inference(subst,[],[refute_0_126:[bind(W,$fot(number_number_of_int(bit0(bit0(one_one_int)))))]]) ).
cnf(refute_0_128,plain,
times_times_int(pls,number_number_of_int(bit0(bit0(bit1(pls))))) = times_times_int(pls,number_number_of_int(bit0(bit0(bit1(pls))))),
introduced(tautology,[refl,[$fot(times_times_int(pls,number_number_of_int(bit0(bit0(bit1(pls))))))]]) ).
cnf(refute_0_129,plain,
( number_number_of_int(bit0(bit0(bit1(pls)))) != number_number_of_int(bit0(bit0(one_one_int)))
| times_times_int(pls,number_number_of_int(bit0(bit0(bit1(pls))))) != times_times_int(pls,number_number_of_int(bit0(bit0(bit1(pls)))))
| times_times_int(pls,number_number_of_int(bit0(bit0(bit1(pls))))) = times_times_int(pls,number_number_of_int(bit0(bit0(one_one_int)))) ),
introduced(tautology,[equality,[$cnf( $equal(times_times_int(pls,number_number_of_int(bit0(bit0(bit1(pls))))),times_times_int(pls,number_number_of_int(bit0(bit0(bit1(pls)))))) ),[1,1],$fot(number_number_of_int(bit0(bit0(one_one_int))))]]) ).
cnf(refute_0_130,plain,
( number_number_of_int(bit0(bit0(bit1(pls)))) != number_number_of_int(bit0(bit0(one_one_int)))
| times_times_int(pls,number_number_of_int(bit0(bit0(bit1(pls))))) = times_times_int(pls,number_number_of_int(bit0(bit0(one_one_int)))) ),
inference(resolve,[$cnf( $equal(times_times_int(pls,number_number_of_int(bit0(bit0(bit1(pls))))),times_times_int(pls,number_number_of_int(bit0(bit0(bit1(pls)))))) )],[refute_0_128,refute_0_129]) ).
cnf(refute_0_131,plain,
times_times_int(pls,number_number_of_int(bit0(bit0(bit1(pls))))) = times_times_int(pls,number_number_of_int(bit0(bit0(one_one_int)))),
inference(resolve,[$cnf( $equal(number_number_of_int(bit0(bit0(bit1(pls)))),number_number_of_int(bit0(bit0(one_one_int)))) )],[refute_0_57,refute_0_130]) ).
cnf(refute_0_132,plain,
times_times_int(zero_zero_int,number_number_of_int(bit0(bit0(bit1(pls))))) = times_times_int(zero_zero_int,number_number_of_int(bit0(bit0(bit1(pls))))),
introduced(tautology,[refl,[$fot(times_times_int(zero_zero_int,number_number_of_int(bit0(bit0(bit1(pls))))))]]) ).
cnf(refute_0_133,plain,
( times_times_int(zero_zero_int,number_number_of_int(bit0(bit0(bit1(pls))))) != times_times_int(zero_zero_int,number_number_of_int(bit0(bit0(bit1(pls)))))
| zero_zero_int != pls
| times_times_int(zero_zero_int,number_number_of_int(bit0(bit0(bit1(pls))))) = times_times_int(pls,number_number_of_int(bit0(bit0(bit1(pls))))) ),
introduced(tautology,[equality,[$cnf( $equal(times_times_int(zero_zero_int,number_number_of_int(bit0(bit0(bit1(pls))))),times_times_int(zero_zero_int,number_number_of_int(bit0(bit0(bit1(pls)))))) ),[1,0],$fot(pls)]]) ).
cnf(refute_0_134,plain,
( zero_zero_int != pls
| times_times_int(zero_zero_int,number_number_of_int(bit0(bit0(bit1(pls))))) = times_times_int(pls,number_number_of_int(bit0(bit0(bit1(pls))))) ),
inference(resolve,[$cnf( $equal(times_times_int(zero_zero_int,number_number_of_int(bit0(bit0(bit1(pls))))),times_times_int(zero_zero_int,number_number_of_int(bit0(bit0(bit1(pls)))))) )],[refute_0_132,refute_0_133]) ).
cnf(refute_0_135,plain,
times_times_int(zero_zero_int,number_number_of_int(bit0(bit0(bit1(pls))))) = times_times_int(pls,number_number_of_int(bit0(bit0(bit1(pls))))),
inference(resolve,[$cnf( $equal(zero_zero_int,pls) )],[refute_0_7,refute_0_134]) ).
cnf(refute_0_136,plain,
( times_times_int(pls,number_number_of_int(bit0(bit0(bit1(pls))))) != times_times_int(pls,number_number_of_int(bit0(bit0(one_one_int))))
| times_times_int(zero_zero_int,number_number_of_int(bit0(bit0(bit1(pls))))) != times_times_int(pls,number_number_of_int(bit0(bit0(bit1(pls)))))
| times_times_int(zero_zero_int,number_number_of_int(bit0(bit0(bit1(pls))))) = times_times_int(pls,number_number_of_int(bit0(bit0(one_one_int)))) ),
inference(subst,[],[refute_0_12:[bind(X,$fot(times_times_int(zero_zero_int,number_number_of_int(bit0(bit0(bit1(pls))))))),bind(Y,$fot(times_times_int(pls,number_number_of_int(bit0(bit0(bit1(pls))))))),bind(Z0,$fot(times_times_int(pls,number_number_of_int(bit0(bit0(one_one_int))))))]]) ).
cnf(refute_0_137,plain,
( times_times_int(pls,number_number_of_int(bit0(bit0(bit1(pls))))) != times_times_int(pls,number_number_of_int(bit0(bit0(one_one_int))))
| times_times_int(zero_zero_int,number_number_of_int(bit0(bit0(bit1(pls))))) = times_times_int(pls,number_number_of_int(bit0(bit0(one_one_int)))) ),
inference(resolve,[$cnf( $equal(times_times_int(zero_zero_int,number_number_of_int(bit0(bit0(bit1(pls))))),times_times_int(pls,number_number_of_int(bit0(bit0(bit1(pls)))))) )],[refute_0_135,refute_0_136]) ).
cnf(refute_0_138,plain,
times_times_int(zero_zero_int,number_number_of_int(bit0(bit0(bit1(pls))))) = times_times_int(pls,number_number_of_int(bit0(bit0(one_one_int)))),
inference(resolve,[$cnf( $equal(times_times_int(pls,number_number_of_int(bit0(bit0(bit1(pls))))),times_times_int(pls,number_number_of_int(bit0(bit0(one_one_int))))) )],[refute_0_131,refute_0_137]) ).
cnf(refute_0_139,plain,
( times_times_int(pls,number_number_of_int(bit0(bit0(one_one_int)))) != pls
| times_times_int(zero_zero_int,number_number_of_int(bit0(bit0(bit1(pls))))) != times_times_int(pls,number_number_of_int(bit0(bit0(one_one_int))))
| times_times_int(zero_zero_int,number_number_of_int(bit0(bit0(bit1(pls))))) = pls ),
inference(subst,[],[refute_0_12:[bind(X,$fot(times_times_int(zero_zero_int,number_number_of_int(bit0(bit0(bit1(pls))))))),bind(Y,$fot(times_times_int(pls,number_number_of_int(bit0(bit0(one_one_int)))))),bind(Z0,$fot(pls))]]) ).
cnf(refute_0_140,plain,
( times_times_int(pls,number_number_of_int(bit0(bit0(one_one_int)))) != pls
| times_times_int(zero_zero_int,number_number_of_int(bit0(bit0(bit1(pls))))) = pls ),
inference(resolve,[$cnf( $equal(times_times_int(zero_zero_int,number_number_of_int(bit0(bit0(bit1(pls))))),times_times_int(pls,number_number_of_int(bit0(bit0(one_one_int))))) )],[refute_0_138,refute_0_139]) ).
cnf(refute_0_141,plain,
times_times_int(zero_zero_int,number_number_of_int(bit0(bit0(bit1(pls))))) = pls,
inference(resolve,[$cnf( $equal(times_times_int(pls,number_number_of_int(bit0(bit0(one_one_int)))),pls) )],[refute_0_127,refute_0_140]) ).
cnf(refute_0_142,plain,
times_times_int(m,times_times_int(zero_zero_int,number_number_of_int(bit0(bit0(bit1(pls)))))) = times_times_int(m,times_times_int(zero_zero_int,number_number_of_int(bit0(bit0(bit1(pls)))))),
introduced(tautology,[refl,[$fot(times_times_int(m,times_times_int(zero_zero_int,number_number_of_int(bit0(bit0(bit1(pls)))))))]]) ).
cnf(refute_0_143,plain,
( times_times_int(m,times_times_int(zero_zero_int,number_number_of_int(bit0(bit0(bit1(pls)))))) != times_times_int(m,times_times_int(zero_zero_int,number_number_of_int(bit0(bit0(bit1(pls))))))
| times_times_int(zero_zero_int,number_number_of_int(bit0(bit0(bit1(pls))))) != pls
| times_times_int(m,times_times_int(zero_zero_int,number_number_of_int(bit0(bit0(bit1(pls)))))) = times_times_int(m,pls) ),
introduced(tautology,[equality,[$cnf( $equal(times_times_int(m,times_times_int(zero_zero_int,number_number_of_int(bit0(bit0(bit1(pls)))))),times_times_int(m,times_times_int(zero_zero_int,number_number_of_int(bit0(bit0(bit1(pls))))))) ),[1,1],$fot(pls)]]) ).
cnf(refute_0_144,plain,
( times_times_int(zero_zero_int,number_number_of_int(bit0(bit0(bit1(pls))))) != pls
| times_times_int(m,times_times_int(zero_zero_int,number_number_of_int(bit0(bit0(bit1(pls)))))) = times_times_int(m,pls) ),
inference(resolve,[$cnf( $equal(times_times_int(m,times_times_int(zero_zero_int,number_number_of_int(bit0(bit0(bit1(pls)))))),times_times_int(m,times_times_int(zero_zero_int,number_number_of_int(bit0(bit0(bit1(pls))))))) )],[refute_0_142,refute_0_143]) ).
cnf(refute_0_145,plain,
times_times_int(m,times_times_int(zero_zero_int,number_number_of_int(bit0(bit0(bit1(pls)))))) = times_times_int(m,pls),
inference(resolve,[$cnf( $equal(times_times_int(zero_zero_int,number_number_of_int(bit0(bit0(bit1(pls))))),pls) )],[refute_0_141,refute_0_144]) ).
cnf(refute_0_146,plain,
( times_times_int(m,pls) != pls
| times_times_int(m,times_times_int(zero_zero_int,number_number_of_int(bit0(bit0(bit1(pls)))))) != times_times_int(m,pls)
| times_times_int(m,times_times_int(zero_zero_int,number_number_of_int(bit0(bit0(bit1(pls)))))) = pls ),
inference(subst,[],[refute_0_12:[bind(X,$fot(times_times_int(m,times_times_int(zero_zero_int,number_number_of_int(bit0(bit0(bit1(pls)))))))),bind(Y,$fot(times_times_int(m,pls))),bind(Z0,$fot(pls))]]) ).
cnf(refute_0_147,plain,
( times_times_int(m,pls) != pls
| times_times_int(m,times_times_int(zero_zero_int,number_number_of_int(bit0(bit0(bit1(pls)))))) = pls ),
inference(resolve,[$cnf( $equal(times_times_int(m,times_times_int(zero_zero_int,number_number_of_int(bit0(bit0(bit1(pls)))))),times_times_int(m,pls)) )],[refute_0_145,refute_0_146]) ).
cnf(refute_0_148,plain,
times_times_int(m,times_times_int(zero_zero_int,number_number_of_int(bit0(bit0(bit1(pls)))))) = pls,
inference(resolve,[$cnf( $equal(times_times_int(m,pls),pls) )],[refute_0_125,refute_0_147]) ).
cnf(refute_0_149,plain,
times_times_int(m,times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),zero_zero_int)) = times_times_int(m,times_times_int(zero_zero_int,number_number_of_int(bit0(bit0(bit1(pls)))))),
inference(subst,[],[refute_0_77:[bind(Lx_3,$fot(m)),bind(Ly_1,$fot(zero_zero_int)),bind(Rx_3,$fot(number_number_of_int(bit0(bit0(bit1(pls))))))]]) ).
cnf(refute_0_150,plain,
times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),times_times_int(m,zero_zero_int)) = times_times_int(m,times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),zero_zero_int)),
inference(subst,[],[refute_0_81:[bind(Lx,$fot(m)),bind(Rx,$fot(number_number_of_int(bit0(bit0(bit1(pls)))))),bind(Ry,$fot(zero_zero_int))]]) ).
cnf(refute_0_151,plain,
( times_times_int(m,times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),zero_zero_int)) != times_times_int(m,times_times_int(zero_zero_int,number_number_of_int(bit0(bit0(bit1(pls))))))
| times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),times_times_int(m,zero_zero_int)) != times_times_int(m,times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),zero_zero_int))
| times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),times_times_int(m,zero_zero_int)) = times_times_int(m,times_times_int(zero_zero_int,number_number_of_int(bit0(bit0(bit1(pls)))))) ),
inference(subst,[],[refute_0_12:[bind(X,$fot(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),times_times_int(m,zero_zero_int)))),bind(Y,$fot(times_times_int(m,times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),zero_zero_int)))),bind(Z0,$fot(times_times_int(m,times_times_int(zero_zero_int,number_number_of_int(bit0(bit0(bit1(pls))))))))]]) ).
cnf(refute_0_152,plain,
( times_times_int(m,times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),zero_zero_int)) != times_times_int(m,times_times_int(zero_zero_int,number_number_of_int(bit0(bit0(bit1(pls))))))
| times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),times_times_int(m,zero_zero_int)) = times_times_int(m,times_times_int(zero_zero_int,number_number_of_int(bit0(bit0(bit1(pls)))))) ),
inference(resolve,[$cnf( $equal(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),times_times_int(m,zero_zero_int)),times_times_int(m,times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),zero_zero_int))) )],[refute_0_150,refute_0_151]) ).
cnf(refute_0_153,plain,
times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),times_times_int(m,zero_zero_int)) = times_times_int(m,times_times_int(zero_zero_int,number_number_of_int(bit0(bit0(bit1(pls)))))),
inference(resolve,[$cnf( $equal(times_times_int(m,times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),zero_zero_int)),times_times_int(m,times_times_int(zero_zero_int,number_number_of_int(bit0(bit0(bit1(pls))))))) )],[refute_0_149,refute_0_152]) ).
cnf(refute_0_154,plain,
times_times_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),zero_zero_int) = times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),times_times_int(m,zero_zero_int)),
inference(subst,[],[refute_0_67:[bind(Z1,$fot(number_number_of_int(bit0(bit0(bit1(pls)))))),bind(Z2,$fot(m)),bind(Z3,$fot(zero_zero_int))]]) ).
cnf(refute_0_155,plain,
( times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),times_times_int(m,zero_zero_int)) != times_times_int(m,times_times_int(zero_zero_int,number_number_of_int(bit0(bit0(bit1(pls))))))
| times_times_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),zero_zero_int) != times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),times_times_int(m,zero_zero_int))
| times_times_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),zero_zero_int) = times_times_int(m,times_times_int(zero_zero_int,number_number_of_int(bit0(bit0(bit1(pls)))))) ),
inference(subst,[],[refute_0_12:[bind(X,$fot(times_times_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),zero_zero_int))),bind(Y,$fot(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),times_times_int(m,zero_zero_int)))),bind(Z0,$fot(times_times_int(m,times_times_int(zero_zero_int,number_number_of_int(bit0(bit0(bit1(pls))))))))]]) ).
cnf(refute_0_156,plain,
( times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),times_times_int(m,zero_zero_int)) != times_times_int(m,times_times_int(zero_zero_int,number_number_of_int(bit0(bit0(bit1(pls))))))
| times_times_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),zero_zero_int) = times_times_int(m,times_times_int(zero_zero_int,number_number_of_int(bit0(bit0(bit1(pls)))))) ),
inference(resolve,[$cnf( $equal(times_times_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),zero_zero_int),times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),times_times_int(m,zero_zero_int))) )],[refute_0_154,refute_0_155]) ).
cnf(refute_0_157,plain,
times_times_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),zero_zero_int) = times_times_int(m,times_times_int(zero_zero_int,number_number_of_int(bit0(bit0(bit1(pls)))))),
inference(resolve,[$cnf( $equal(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),times_times_int(m,zero_zero_int)),times_times_int(m,times_times_int(zero_zero_int,number_number_of_int(bit0(bit0(bit1(pls))))))) )],[refute_0_153,refute_0_156]) ).
cnf(refute_0_158,plain,
( times_times_int(m,times_times_int(zero_zero_int,number_number_of_int(bit0(bit0(bit1(pls)))))) != pls
| times_times_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),zero_zero_int) != times_times_int(m,times_times_int(zero_zero_int,number_number_of_int(bit0(bit0(bit1(pls))))))
| times_times_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),zero_zero_int) = pls ),
inference(subst,[],[refute_0_12:[bind(X,$fot(times_times_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),zero_zero_int))),bind(Y,$fot(times_times_int(m,times_times_int(zero_zero_int,number_number_of_int(bit0(bit0(bit1(pls)))))))),bind(Z0,$fot(pls))]]) ).
cnf(refute_0_159,plain,
( times_times_int(m,times_times_int(zero_zero_int,number_number_of_int(bit0(bit0(bit1(pls)))))) != pls
| times_times_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),zero_zero_int) = pls ),
inference(resolve,[$cnf( $equal(times_times_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),zero_zero_int),times_times_int(m,times_times_int(zero_zero_int,number_number_of_int(bit0(bit0(bit1(pls))))))) )],[refute_0_157,refute_0_158]) ).
cnf(refute_0_160,plain,
times_times_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),zero_zero_int) = pls,
inference(resolve,[$cnf( $equal(times_times_int(m,times_times_int(zero_zero_int,number_number_of_int(bit0(bit0(bit1(pls)))))),pls) )],[refute_0_148,refute_0_159]) ).
cnf(refute_0_161,plain,
plus_plus_int(pls,times_times_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),zero_zero_int)) = plus_plus_int(pls,times_times_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),zero_zero_int)),
introduced(tautology,[refl,[$fot(plus_plus_int(pls,times_times_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),zero_zero_int)))]]) ).
cnf(refute_0_162,plain,
( plus_plus_int(pls,times_times_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),zero_zero_int)) != plus_plus_int(pls,times_times_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),zero_zero_int))
| times_times_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),zero_zero_int) != pls
| plus_plus_int(pls,times_times_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),zero_zero_int)) = plus_plus_int(pls,pls) ),
introduced(tautology,[equality,[$cnf( $equal(plus_plus_int(pls,times_times_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),zero_zero_int)),plus_plus_int(pls,times_times_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),zero_zero_int))) ),[1,1],$fot(pls)]]) ).
cnf(refute_0_163,plain,
( times_times_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),zero_zero_int) != pls
| plus_plus_int(pls,times_times_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),zero_zero_int)) = plus_plus_int(pls,pls) ),
inference(resolve,[$cnf( $equal(plus_plus_int(pls,times_times_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),zero_zero_int)),plus_plus_int(pls,times_times_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),zero_zero_int))) )],[refute_0_161,refute_0_162]) ).
cnf(refute_0_164,plain,
plus_plus_int(pls,times_times_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),zero_zero_int)) = plus_plus_int(pls,pls),
inference(resolve,[$cnf( $equal(times_times_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),zero_zero_int),pls) )],[refute_0_160,refute_0_163]) ).
cnf(refute_0_165,plain,
plus_plus_int(zero_zero_int,times_times_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),zero_zero_int)) = plus_plus_int(zero_zero_int,times_times_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),zero_zero_int)),
introduced(tautology,[refl,[$fot(plus_plus_int(zero_zero_int,times_times_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),zero_zero_int)))]]) ).
cnf(refute_0_166,plain,
( plus_plus_int(zero_zero_int,times_times_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),zero_zero_int)) != plus_plus_int(zero_zero_int,times_times_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),zero_zero_int))
| zero_zero_int != pls
| plus_plus_int(zero_zero_int,times_times_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),zero_zero_int)) = plus_plus_int(pls,times_times_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),zero_zero_int)) ),
introduced(tautology,[equality,[$cnf( $equal(plus_plus_int(zero_zero_int,times_times_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),zero_zero_int)),plus_plus_int(zero_zero_int,times_times_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),zero_zero_int))) ),[1,0],$fot(pls)]]) ).
cnf(refute_0_167,plain,
( zero_zero_int != pls
| plus_plus_int(zero_zero_int,times_times_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),zero_zero_int)) = plus_plus_int(pls,times_times_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),zero_zero_int)) ),
inference(resolve,[$cnf( $equal(plus_plus_int(zero_zero_int,times_times_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),zero_zero_int)),plus_plus_int(zero_zero_int,times_times_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),zero_zero_int))) )],[refute_0_165,refute_0_166]) ).
cnf(refute_0_168,plain,
plus_plus_int(zero_zero_int,times_times_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),zero_zero_int)) = plus_plus_int(pls,times_times_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),zero_zero_int)),
inference(resolve,[$cnf( $equal(zero_zero_int,pls) )],[refute_0_7,refute_0_167]) ).
cnf(refute_0_169,plain,
( plus_plus_int(pls,times_times_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),zero_zero_int)) != plus_plus_int(pls,pls)
| plus_plus_int(zero_zero_int,times_times_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),zero_zero_int)) != plus_plus_int(pls,times_times_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),zero_zero_int))
| plus_plus_int(zero_zero_int,times_times_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),zero_zero_int)) = plus_plus_int(pls,pls) ),
inference(subst,[],[refute_0_12:[bind(X,$fot(plus_plus_int(zero_zero_int,times_times_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),zero_zero_int)))),bind(Y,$fot(plus_plus_int(pls,times_times_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),zero_zero_int)))),bind(Z0,$fot(plus_plus_int(pls,pls)))]]) ).
cnf(refute_0_170,plain,
( plus_plus_int(pls,times_times_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),zero_zero_int)) != plus_plus_int(pls,pls)
| plus_plus_int(zero_zero_int,times_times_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),zero_zero_int)) = plus_plus_int(pls,pls) ),
inference(resolve,[$cnf( $equal(plus_plus_int(zero_zero_int,times_times_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),zero_zero_int)),plus_plus_int(pls,times_times_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),zero_zero_int))) )],[refute_0_168,refute_0_169]) ).
cnf(refute_0_171,plain,
plus_plus_int(zero_zero_int,times_times_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),zero_zero_int)) = plus_plus_int(pls,pls),
inference(resolve,[$cnf( $equal(plus_plus_int(pls,times_times_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),zero_zero_int)),plus_plus_int(pls,pls)) )],[refute_0_164,refute_0_170]) ).
cnf(refute_0_172,plain,
( plus_plus_int(pls,pls) != pls
| plus_plus_int(zero_zero_int,times_times_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),zero_zero_int)) != plus_plus_int(pls,pls)
| plus_plus_int(zero_zero_int,times_times_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),zero_zero_int)) = pls ),
inference(subst,[],[refute_0_12:[bind(X,$fot(plus_plus_int(zero_zero_int,times_times_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),zero_zero_int)))),bind(Y,$fot(plus_plus_int(pls,pls))),bind(Z0,$fot(pls))]]) ).
cnf(refute_0_173,plain,
( plus_plus_int(pls,pls) != pls
| plus_plus_int(zero_zero_int,times_times_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),zero_zero_int)) = pls ),
inference(resolve,[$cnf( $equal(plus_plus_int(zero_zero_int,times_times_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),zero_zero_int)),plus_plus_int(pls,pls)) )],[refute_0_171,refute_0_172]) ).
cnf(refute_0_174,plain,
plus_plus_int(zero_zero_int,times_times_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),zero_zero_int)) = pls,
inference(resolve,[$cnf( $equal(plus_plus_int(pls,pls),pls) )],[refute_0_113,refute_0_173]) ).
cnf(refute_0_175,plain,
times_times_int(plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int),zero_zero_int) = plus_plus_int(zero_zero_int,times_times_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),zero_zero_int)),
inference(subst,[],[refute_0_99:[bind(A_28,$fot(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m))),bind(M_10,$fot(zero_zero_int))]]) ).
cnf(refute_0_176,plain,
( plus_plus_int(zero_zero_int,times_times_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),zero_zero_int)) != pls
| times_times_int(plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int),zero_zero_int) != plus_plus_int(zero_zero_int,times_times_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),zero_zero_int))
| times_times_int(plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int),zero_zero_int) = pls ),
inference(subst,[],[refute_0_12:[bind(X,$fot(times_times_int(plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int),zero_zero_int))),bind(Y,$fot(plus_plus_int(zero_zero_int,times_times_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),zero_zero_int)))),bind(Z0,$fot(pls))]]) ).
cnf(refute_0_177,plain,
( plus_plus_int(zero_zero_int,times_times_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),zero_zero_int)) != pls
| times_times_int(plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int),zero_zero_int) = pls ),
inference(resolve,[$cnf( $equal(times_times_int(plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int),zero_zero_int),plus_plus_int(zero_zero_int,times_times_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),zero_zero_int))) )],[refute_0_175,refute_0_176]) ).
cnf(refute_0_178,plain,
times_times_int(plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int),zero_zero_int) = pls,
inference(resolve,[$cnf( $equal(plus_plus_int(zero_zero_int,times_times_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),zero_zero_int)),pls) )],[refute_0_174,refute_0_177]) ).
cnf(refute_0_179,plain,
( times_times_int(plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int),zero_zero_int) != pls
| ~ ord_less_int(plus_plus_int(t,times_times_int(m,times_times_int(t,number_number_of_int(bit0(bit0(one_one_int)))))),times_times_int(plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int),zero_zero_int))
| ord_less_int(plus_plus_int(t,times_times_int(m,times_times_int(t,number_number_of_int(bit0(bit0(one_one_int)))))),pls) ),
introduced(tautology,[equality,[$cnf( ord_less_int(plus_plus_int(t,times_times_int(m,times_times_int(t,number_number_of_int(bit0(bit0(one_one_int)))))),times_times_int(plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int),zero_zero_int)) ),[1],$fot(pls)]]) ).
cnf(refute_0_180,plain,
( ~ ord_less_int(plus_plus_int(t,times_times_int(m,times_times_int(t,number_number_of_int(bit0(bit0(one_one_int)))))),times_times_int(plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int),zero_zero_int))
| ord_less_int(plus_plus_int(t,times_times_int(m,times_times_int(t,number_number_of_int(bit0(bit0(one_one_int)))))),pls) ),
inference(resolve,[$cnf( $equal(times_times_int(plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int),zero_zero_int),pls) )],[refute_0_178,refute_0_179]) ).
cnf(refute_0_181,plain,
( ~ ord_less_int(times_times_int(plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int),t),times_times_int(plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int),zero_zero_int))
| ord_less_int(plus_plus_int(t,times_times_int(m,times_times_int(t,number_number_of_int(bit0(bit0(one_one_int)))))),pls) ),
inference(resolve,[$cnf( ord_less_int(plus_plus_int(t,times_times_int(m,times_times_int(t,number_number_of_int(bit0(bit0(one_one_int)))))),times_times_int(plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int),zero_zero_int)) )],[refute_0_105,refute_0_180]) ).
cnf(refute_0_182,plain,
ord_less_int(plus_plus_int(t,times_times_int(m,times_times_int(t,number_number_of_int(bit0(bit0(one_one_int)))))),pls),
inference(resolve,[$cnf( ord_less_int(times_times_int(plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int),t),times_times_int(plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int),zero_zero_int)) )],[refute_0_0,refute_0_181]) ).
cnf(refute_0_183,plain,
plus_plus_int(power_power_int(s,number_number_of_nat(bit0(bit1(pls)))),one_one_int) = times_times_int(plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int),t),
inference(canonicalize,[],[normalize_0_25]) ).
cnf(refute_0_184,plain,
power_power_int(A_50,number_number_of_nat(bit0(bit1(pls)))) = times_times_int(A_50,A_50),
inference(canonicalize,[],[normalize_0_27]) ).
cnf(refute_0_185,plain,
plus_plus_nat(one_one_nat,one_one_nat) = number_number_of_nat(bit0(bit1(pls))),
inference(canonicalize,[],[normalize_0_28]) ).
cnf(refute_0_186,plain,
( plus_plus_nat(one_one_nat,one_one_nat) != number_number_of_nat(bit0(bit1(pls)))
| number_number_of_nat(bit0(bit1(pls))) = plus_plus_nat(one_one_nat,one_one_nat) ),
inference(subst,[],[refute_0_5:[bind(X,$fot(plus_plus_nat(one_one_nat,one_one_nat))),bind(Y,$fot(number_number_of_nat(bit0(bit1(pls)))))]]) ).
cnf(refute_0_187,plain,
number_number_of_nat(bit0(bit1(pls))) = plus_plus_nat(one_one_nat,one_one_nat),
inference(resolve,[$cnf( $equal(plus_plus_nat(one_one_nat,one_one_nat),number_number_of_nat(bit0(bit1(pls)))) )],[refute_0_185,refute_0_186]) ).
cnf(refute_0_188,plain,
power_power_int(A_50,number_number_of_nat(bit0(bit1(pls)))) = power_power_int(A_50,number_number_of_nat(bit0(bit1(pls)))),
introduced(tautology,[refl,[$fot(power_power_int(A_50,number_number_of_nat(bit0(bit1(pls)))))]]) ).
cnf(refute_0_189,plain,
( number_number_of_nat(bit0(bit1(pls))) != plus_plus_nat(one_one_nat,one_one_nat)
| power_power_int(A_50,number_number_of_nat(bit0(bit1(pls)))) != power_power_int(A_50,number_number_of_nat(bit0(bit1(pls))))
| power_power_int(A_50,number_number_of_nat(bit0(bit1(pls)))) = power_power_int(A_50,plus_plus_nat(one_one_nat,one_one_nat)) ),
introduced(tautology,[equality,[$cnf( $equal(power_power_int(A_50,number_number_of_nat(bit0(bit1(pls)))),power_power_int(A_50,number_number_of_nat(bit0(bit1(pls))))) ),[1,1],$fot(plus_plus_nat(one_one_nat,one_one_nat))]]) ).
cnf(refute_0_190,plain,
( number_number_of_nat(bit0(bit1(pls))) != plus_plus_nat(one_one_nat,one_one_nat)
| power_power_int(A_50,number_number_of_nat(bit0(bit1(pls)))) = power_power_int(A_50,plus_plus_nat(one_one_nat,one_one_nat)) ),
inference(resolve,[$cnf( $equal(power_power_int(A_50,number_number_of_nat(bit0(bit1(pls)))),power_power_int(A_50,number_number_of_nat(bit0(bit1(pls))))) )],[refute_0_188,refute_0_189]) ).
cnf(refute_0_191,plain,
power_power_int(A_50,number_number_of_nat(bit0(bit1(pls)))) = power_power_int(A_50,plus_plus_nat(one_one_nat,one_one_nat)),
inference(resolve,[$cnf( $equal(number_number_of_nat(bit0(bit1(pls))),plus_plus_nat(one_one_nat,one_one_nat)) )],[refute_0_187,refute_0_190]) ).
cnf(refute_0_192,plain,
( power_power_int(A_50,number_number_of_nat(bit0(bit1(pls)))) != power_power_int(A_50,plus_plus_nat(one_one_nat,one_one_nat))
| power_power_int(A_50,number_number_of_nat(bit0(bit1(pls)))) != times_times_int(A_50,A_50)
| power_power_int(A_50,plus_plus_nat(one_one_nat,one_one_nat)) = times_times_int(A_50,A_50) ),
introduced(tautology,[equality,[$cnf( $equal(power_power_int(A_50,number_number_of_nat(bit0(bit1(pls)))),times_times_int(A_50,A_50)) ),[0],$fot(power_power_int(A_50,plus_plus_nat(one_one_nat,one_one_nat)))]]) ).
cnf(refute_0_193,plain,
( power_power_int(A_50,number_number_of_nat(bit0(bit1(pls)))) != times_times_int(A_50,A_50)
| power_power_int(A_50,plus_plus_nat(one_one_nat,one_one_nat)) = times_times_int(A_50,A_50) ),
inference(resolve,[$cnf( $equal(power_power_int(A_50,number_number_of_nat(bit0(bit1(pls)))),power_power_int(A_50,plus_plus_nat(one_one_nat,one_one_nat))) )],[refute_0_191,refute_0_192]) ).
cnf(refute_0_194,plain,
power_power_int(A_50,plus_plus_nat(one_one_nat,one_one_nat)) = times_times_int(A_50,A_50),
inference(resolve,[$cnf( $equal(power_power_int(A_50,number_number_of_nat(bit0(bit1(pls)))),times_times_int(A_50,A_50)) )],[refute_0_184,refute_0_193]) ).
cnf(refute_0_195,plain,
power_power_int(s,plus_plus_nat(one_one_nat,one_one_nat)) = times_times_int(s,s),
inference(subst,[],[refute_0_194:[bind(A_50,$fot(s))]]) ).
cnf(refute_0_196,plain,
power_power_int(s,number_number_of_nat(bit0(bit1(pls)))) = power_power_int(s,number_number_of_nat(bit0(bit1(pls)))),
introduced(tautology,[refl,[$fot(power_power_int(s,number_number_of_nat(bit0(bit1(pls)))))]]) ).
cnf(refute_0_197,plain,
( number_number_of_nat(bit0(bit1(pls))) != plus_plus_nat(one_one_nat,one_one_nat)
| power_power_int(s,number_number_of_nat(bit0(bit1(pls)))) != power_power_int(s,number_number_of_nat(bit0(bit1(pls))))
| power_power_int(s,number_number_of_nat(bit0(bit1(pls)))) = power_power_int(s,plus_plus_nat(one_one_nat,one_one_nat)) ),
introduced(tautology,[equality,[$cnf( $equal(power_power_int(s,number_number_of_nat(bit0(bit1(pls)))),power_power_int(s,number_number_of_nat(bit0(bit1(pls))))) ),[1,1],$fot(plus_plus_nat(one_one_nat,one_one_nat))]]) ).
cnf(refute_0_198,plain,
( number_number_of_nat(bit0(bit1(pls))) != plus_plus_nat(one_one_nat,one_one_nat)
| power_power_int(s,number_number_of_nat(bit0(bit1(pls)))) = power_power_int(s,plus_plus_nat(one_one_nat,one_one_nat)) ),
inference(resolve,[$cnf( $equal(power_power_int(s,number_number_of_nat(bit0(bit1(pls)))),power_power_int(s,number_number_of_nat(bit0(bit1(pls))))) )],[refute_0_196,refute_0_197]) ).
cnf(refute_0_199,plain,
power_power_int(s,number_number_of_nat(bit0(bit1(pls)))) = power_power_int(s,plus_plus_nat(one_one_nat,one_one_nat)),
inference(resolve,[$cnf( $equal(number_number_of_nat(bit0(bit1(pls))),plus_plus_nat(one_one_nat,one_one_nat)) )],[refute_0_187,refute_0_198]) ).
cnf(refute_0_200,plain,
( power_power_int(s,number_number_of_nat(bit0(bit1(pls)))) != power_power_int(s,plus_plus_nat(one_one_nat,one_one_nat))
| power_power_int(s,plus_plus_nat(one_one_nat,one_one_nat)) != times_times_int(s,s)
| power_power_int(s,number_number_of_nat(bit0(bit1(pls)))) = times_times_int(s,s) ),
inference(subst,[],[refute_0_12:[bind(X,$fot(power_power_int(s,number_number_of_nat(bit0(bit1(pls)))))),bind(Y,$fot(power_power_int(s,plus_plus_nat(one_one_nat,one_one_nat)))),bind(Z0,$fot(times_times_int(s,s)))]]) ).
cnf(refute_0_201,plain,
( power_power_int(s,plus_plus_nat(one_one_nat,one_one_nat)) != times_times_int(s,s)
| power_power_int(s,number_number_of_nat(bit0(bit1(pls)))) = times_times_int(s,s) ),
inference(resolve,[$cnf( $equal(power_power_int(s,number_number_of_nat(bit0(bit1(pls)))),power_power_int(s,plus_plus_nat(one_one_nat,one_one_nat))) )],[refute_0_199,refute_0_200]) ).
cnf(refute_0_202,plain,
power_power_int(s,number_number_of_nat(bit0(bit1(pls)))) = times_times_int(s,s),
inference(resolve,[$cnf( $equal(power_power_int(s,plus_plus_nat(one_one_nat,one_one_nat)),times_times_int(s,s)) )],[refute_0_195,refute_0_201]) ).
cnf(refute_0_203,plain,
plus_plus_int(one_one_int,power_power_int(s,number_number_of_nat(bit0(bit1(pls))))) = plus_plus_int(one_one_int,power_power_int(s,number_number_of_nat(bit0(bit1(pls))))),
introduced(tautology,[refl,[$fot(plus_plus_int(one_one_int,power_power_int(s,number_number_of_nat(bit0(bit1(pls))))))]]) ).
cnf(refute_0_204,plain,
( plus_plus_int(one_one_int,power_power_int(s,number_number_of_nat(bit0(bit1(pls))))) != plus_plus_int(one_one_int,power_power_int(s,number_number_of_nat(bit0(bit1(pls)))))
| power_power_int(s,number_number_of_nat(bit0(bit1(pls)))) != times_times_int(s,s)
| plus_plus_int(one_one_int,power_power_int(s,number_number_of_nat(bit0(bit1(pls))))) = plus_plus_int(one_one_int,times_times_int(s,s)) ),
introduced(tautology,[equality,[$cnf( $equal(plus_plus_int(one_one_int,power_power_int(s,number_number_of_nat(bit0(bit1(pls))))),plus_plus_int(one_one_int,power_power_int(s,number_number_of_nat(bit0(bit1(pls)))))) ),[1,1],$fot(times_times_int(s,s))]]) ).
cnf(refute_0_205,plain,
( power_power_int(s,number_number_of_nat(bit0(bit1(pls)))) != times_times_int(s,s)
| plus_plus_int(one_one_int,power_power_int(s,number_number_of_nat(bit0(bit1(pls))))) = plus_plus_int(one_one_int,times_times_int(s,s)) ),
inference(resolve,[$cnf( $equal(plus_plus_int(one_one_int,power_power_int(s,number_number_of_nat(bit0(bit1(pls))))),plus_plus_int(one_one_int,power_power_int(s,number_number_of_nat(bit0(bit1(pls)))))) )],[refute_0_203,refute_0_204]) ).
cnf(refute_0_206,plain,
plus_plus_int(one_one_int,power_power_int(s,number_number_of_nat(bit0(bit1(pls))))) = plus_plus_int(one_one_int,times_times_int(s,s)),
inference(resolve,[$cnf( $equal(power_power_int(s,number_number_of_nat(bit0(bit1(pls)))),times_times_int(s,s)) )],[refute_0_202,refute_0_205]) ).
cnf(refute_0_207,plain,
plus_plus_int(power_power_int(s,number_number_of_nat(bit0(bit1(pls)))),one_one_int) = plus_plus_int(one_one_int,power_power_int(s,number_number_of_nat(bit0(bit1(pls))))),
inference(subst,[],[refute_0_24:[bind(W,$fot(power_power_int(s,number_number_of_nat(bit0(bit1(pls)))))),bind(Z,$fot(one_one_int))]]) ).
cnf(refute_0_208,plain,
( plus_plus_int(one_one_int,power_power_int(s,number_number_of_nat(bit0(bit1(pls))))) != plus_plus_int(one_one_int,times_times_int(s,s))
| plus_plus_int(power_power_int(s,number_number_of_nat(bit0(bit1(pls)))),one_one_int) != plus_plus_int(one_one_int,power_power_int(s,number_number_of_nat(bit0(bit1(pls)))))
| plus_plus_int(power_power_int(s,number_number_of_nat(bit0(bit1(pls)))),one_one_int) = plus_plus_int(one_one_int,times_times_int(s,s)) ),
inference(subst,[],[refute_0_12:[bind(X,$fot(plus_plus_int(power_power_int(s,number_number_of_nat(bit0(bit1(pls)))),one_one_int))),bind(Y,$fot(plus_plus_int(one_one_int,power_power_int(s,number_number_of_nat(bit0(bit1(pls))))))),bind(Z0,$fot(plus_plus_int(one_one_int,times_times_int(s,s))))]]) ).
cnf(refute_0_209,plain,
( plus_plus_int(one_one_int,power_power_int(s,number_number_of_nat(bit0(bit1(pls))))) != plus_plus_int(one_one_int,times_times_int(s,s))
| plus_plus_int(power_power_int(s,number_number_of_nat(bit0(bit1(pls)))),one_one_int) = plus_plus_int(one_one_int,times_times_int(s,s)) ),
inference(resolve,[$cnf( $equal(plus_plus_int(power_power_int(s,number_number_of_nat(bit0(bit1(pls)))),one_one_int),plus_plus_int(one_one_int,power_power_int(s,number_number_of_nat(bit0(bit1(pls)))))) )],[refute_0_207,refute_0_208]) ).
cnf(refute_0_210,plain,
plus_plus_int(power_power_int(s,number_number_of_nat(bit0(bit1(pls)))),one_one_int) = plus_plus_int(one_one_int,times_times_int(s,s)),
inference(resolve,[$cnf( $equal(plus_plus_int(one_one_int,power_power_int(s,number_number_of_nat(bit0(bit1(pls))))),plus_plus_int(one_one_int,times_times_int(s,s))) )],[refute_0_206,refute_0_209]) ).
cnf(refute_0_211,plain,
( plus_plus_int(power_power_int(s,number_number_of_nat(bit0(bit1(pls)))),one_one_int) != plus_plus_int(one_one_int,times_times_int(s,s))
| plus_plus_int(power_power_int(s,number_number_of_nat(bit0(bit1(pls)))),one_one_int) != times_times_int(plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int),t)
| plus_plus_int(one_one_int,times_times_int(s,s)) = times_times_int(plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int),t) ),
introduced(tautology,[equality,[$cnf( $equal(plus_plus_int(power_power_int(s,number_number_of_nat(bit0(bit1(pls)))),one_one_int),times_times_int(plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int),t)) ),[0],$fot(plus_plus_int(one_one_int,times_times_int(s,s)))]]) ).
cnf(refute_0_212,plain,
( 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)
| plus_plus_int(one_one_int,times_times_int(s,s)) = times_times_int(plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int),t) ),
inference(resolve,[$cnf( $equal(plus_plus_int(power_power_int(s,number_number_of_nat(bit0(bit1(pls)))),one_one_int),plus_plus_int(one_one_int,times_times_int(s,s))) )],[refute_0_210,refute_0_211]) ).
cnf(refute_0_213,plain,
( plus_plus_int(one_one_int,times_times_int(s,s)) != times_times_int(plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int),t)
| times_times_int(plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int),t) != plus_plus_int(t,times_times_int(m,times_times_int(t,number_number_of_int(bit0(bit0(one_one_int))))))
| plus_plus_int(one_one_int,times_times_int(s,s)) = plus_plus_int(t,times_times_int(m,times_times_int(t,number_number_of_int(bit0(bit0(one_one_int)))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(plus_plus_int(one_one_int,times_times_int(s,s)),plus_plus_int(t,times_times_int(m,times_times_int(t,number_number_of_int(bit0(bit0(one_one_int))))))) ),[0],$fot(times_times_int(plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int),t))]]) ).
cnf(refute_0_214,plain,
( plus_plus_int(one_one_int,times_times_int(s,s)) != 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(one_one_int,times_times_int(s,s)) = plus_plus_int(t,times_times_int(m,times_times_int(t,number_number_of_int(bit0(bit0(one_one_int)))))) ),
inference(resolve,[$cnf( $equal(times_times_int(plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int),t),plus_plus_int(t,times_times_int(m,times_times_int(t,number_number_of_int(bit0(bit0(one_one_int))))))) )],[refute_0_103,refute_0_213]) ).
cnf(refute_0_215,plain,
( plus_plus_int(power_power_int(s,number_number_of_nat(bit0(bit1(pls)))),one_one_int) != times_times_int(plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int),t)
| plus_plus_int(one_one_int,times_times_int(s,s)) = plus_plus_int(t,times_times_int(m,times_times_int(t,number_number_of_int(bit0(bit0(one_one_int)))))) ),
inference(resolve,[$cnf( $equal(plus_plus_int(one_one_int,times_times_int(s,s)),times_times_int(plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int),t)) )],[refute_0_212,refute_0_214]) ).
cnf(refute_0_216,plain,
plus_plus_int(one_one_int,times_times_int(s,s)) = plus_plus_int(t,times_times_int(m,times_times_int(t,number_number_of_int(bit0(bit0(one_one_int)))))),
inference(resolve,[$cnf( $equal(plus_plus_int(power_power_int(s,number_number_of_nat(bit0(bit1(pls)))),one_one_int),times_times_int(plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int),t)) )],[refute_0_183,refute_0_215]) ).
cnf(refute_0_217,plain,
plus_plus_int(one_one_int,one_one_int) = number_number_of_int(bit0(bit1(pls))),
inference(canonicalize,[],[normalize_0_29]) ).
cnf(refute_0_218,plain,
plus_plus_int(one_one_int,one_one_int) = bit0(one_one_int),
inference(subst,[],[refute_0_109:[bind(K_1,$fot(one_one_int))]]) ).
cnf(refute_0_219,plain,
( plus_plus_int(one_one_int,one_one_int) != bit0(one_one_int)
| plus_plus_int(one_one_int,one_one_int) != number_number_of_int(bit0(bit1(pls)))
| bit0(one_one_int) = number_number_of_int(bit0(bit1(pls))) ),
introduced(tautology,[equality,[$cnf( $equal(plus_plus_int(one_one_int,one_one_int),number_number_of_int(bit0(bit1(pls)))) ),[0],$fot(bit0(one_one_int))]]) ).
cnf(refute_0_220,plain,
( plus_plus_int(one_one_int,one_one_int) != number_number_of_int(bit0(bit1(pls)))
| bit0(one_one_int) = number_number_of_int(bit0(bit1(pls))) ),
inference(resolve,[$cnf( $equal(plus_plus_int(one_one_int,one_one_int),bit0(one_one_int)) )],[refute_0_218,refute_0_219]) ).
cnf(refute_0_221,plain,
number_number_of_int(bit0(bit1(pls))) = number_number_of_int(bit0(bit1(pls))),
introduced(tautology,[refl,[$fot(number_number_of_int(bit0(bit1(pls))))]]) ).
cnf(refute_0_222,plain,
( bit0(bit1(pls)) != bit0(one_one_int)
| number_number_of_int(bit0(bit1(pls))) != number_number_of_int(bit0(bit1(pls)))
| number_number_of_int(bit0(bit1(pls))) = number_number_of_int(bit0(one_one_int)) ),
introduced(tautology,[equality,[$cnf( $equal(number_number_of_int(bit0(bit1(pls))),number_number_of_int(bit0(bit1(pls)))) ),[1,0],$fot(bit0(one_one_int))]]) ).
cnf(refute_0_223,plain,
( bit0(bit1(pls)) != bit0(one_one_int)
| number_number_of_int(bit0(bit1(pls))) = number_number_of_int(bit0(one_one_int)) ),
inference(resolve,[$cnf( $equal(number_number_of_int(bit0(bit1(pls))),number_number_of_int(bit0(bit1(pls)))) )],[refute_0_221,refute_0_222]) ).
cnf(refute_0_224,plain,
number_number_of_int(bit0(bit1(pls))) = number_number_of_int(bit0(one_one_int)),
inference(resolve,[$cnf( $equal(bit0(bit1(pls)),bit0(one_one_int)) )],[refute_0_49,refute_0_223]) ).
cnf(refute_0_225,plain,
( bit0(one_one_int) != number_number_of_int(bit0(bit1(pls)))
| number_number_of_int(bit0(bit1(pls))) != number_number_of_int(bit0(one_one_int))
| bit0(one_one_int) = number_number_of_int(bit0(one_one_int)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(bit0(one_one_int),number_number_of_int(bit0(one_one_int))) ),[0],$fot(number_number_of_int(bit0(bit1(pls))))]]) ).
cnf(refute_0_226,plain,
( bit0(one_one_int) != number_number_of_int(bit0(bit1(pls)))
| bit0(one_one_int) = number_number_of_int(bit0(one_one_int)) ),
inference(resolve,[$cnf( $equal(number_number_of_int(bit0(bit1(pls))),number_number_of_int(bit0(one_one_int))) )],[refute_0_224,refute_0_225]) ).
cnf(refute_0_227,plain,
( plus_plus_int(one_one_int,one_one_int) != number_number_of_int(bit0(bit1(pls)))
| bit0(one_one_int) = number_number_of_int(bit0(one_one_int)) ),
inference(resolve,[$cnf( $equal(bit0(one_one_int),number_number_of_int(bit0(bit1(pls)))) )],[refute_0_220,refute_0_226]) ).
cnf(refute_0_228,plain,
bit0(one_one_int) = number_number_of_int(bit0(one_one_int)),
inference(resolve,[$cnf( $equal(plus_plus_int(one_one_int,one_one_int),number_number_of_int(bit0(bit1(pls)))) )],[refute_0_217,refute_0_227]) ).
cnf(refute_0_229,plain,
( bit0(one_one_int) != number_number_of_int(bit0(one_one_int))
| number_number_of_int(bit0(one_one_int)) = bit0(one_one_int) ),
inference(subst,[],[refute_0_5:[bind(X,$fot(bit0(one_one_int))),bind(Y,$fot(number_number_of_int(bit0(one_one_int))))]]) ).
cnf(refute_0_230,plain,
number_number_of_int(bit0(one_one_int)) = bit0(one_one_int),
inference(resolve,[$cnf( $equal(bit0(one_one_int),number_number_of_int(bit0(one_one_int))) )],[refute_0_228,refute_0_229]) ).
cnf(refute_0_231,plain,
bit0(number_number_of_int(bit0(one_one_int))) = bit0(number_number_of_int(bit0(one_one_int))),
introduced(tautology,[refl,[$fot(bit0(number_number_of_int(bit0(one_one_int))))]]) ).
cnf(refute_0_232,plain,
( bit0(number_number_of_int(bit0(one_one_int))) != bit0(number_number_of_int(bit0(one_one_int)))
| number_number_of_int(bit0(one_one_int)) != bit0(one_one_int)
| bit0(number_number_of_int(bit0(one_one_int))) = bit0(bit0(one_one_int)) ),
introduced(tautology,[equality,[$cnf( $equal(bit0(number_number_of_int(bit0(one_one_int))),bit0(number_number_of_int(bit0(one_one_int)))) ),[1,0],$fot(bit0(one_one_int))]]) ).
cnf(refute_0_233,plain,
( number_number_of_int(bit0(one_one_int)) != bit0(one_one_int)
| bit0(number_number_of_int(bit0(one_one_int))) = bit0(bit0(one_one_int)) ),
inference(resolve,[$cnf( $equal(bit0(number_number_of_int(bit0(one_one_int))),bit0(number_number_of_int(bit0(one_one_int)))) )],[refute_0_231,refute_0_232]) ).
cnf(refute_0_234,plain,
bit0(number_number_of_int(bit0(one_one_int))) = bit0(bit0(one_one_int)),
inference(resolve,[$cnf( $equal(number_number_of_int(bit0(one_one_int)),bit0(one_one_int)) )],[refute_0_230,refute_0_233]) ).
cnf(refute_0_235,plain,
times_times_int(plus_plus_int(one_one_int,one_one_int),number_number_of_int(W_11)) = number_number_of_int(bit0(W_11)),
inference(canonicalize,[],[normalize_0_31]) ).
cnf(refute_0_236,plain,
times_times_int(bit0(K_1),L) = bit0(times_times_int(K_1,L)),
inference(canonicalize,[],[normalize_0_33]) ).
cnf(refute_0_237,plain,
times_times_int(bit0(one_one_int),number_number_of_int(W_11)) = bit0(times_times_int(one_one_int,number_number_of_int(W_11))),
inference(subst,[],[refute_0_236:[bind(K_1,$fot(one_one_int)),bind(L,$fot(number_number_of_int(W_11)))]]) ).
cnf(refute_0_238,plain,
times_times_int(plus_plus_int(one_one_int,one_one_int),number_number_of_int(W_11)) = times_times_int(plus_plus_int(one_one_int,one_one_int),number_number_of_int(W_11)),
introduced(tautology,[refl,[$fot(times_times_int(plus_plus_int(one_one_int,one_one_int),number_number_of_int(W_11)))]]) ).
cnf(refute_0_239,plain,
( plus_plus_int(one_one_int,one_one_int) != bit0(one_one_int)
| times_times_int(plus_plus_int(one_one_int,one_one_int),number_number_of_int(W_11)) != times_times_int(plus_plus_int(one_one_int,one_one_int),number_number_of_int(W_11))
| times_times_int(plus_plus_int(one_one_int,one_one_int),number_number_of_int(W_11)) = times_times_int(bit0(one_one_int),number_number_of_int(W_11)) ),
introduced(tautology,[equality,[$cnf( $equal(times_times_int(plus_plus_int(one_one_int,one_one_int),number_number_of_int(W_11)),times_times_int(plus_plus_int(one_one_int,one_one_int),number_number_of_int(W_11))) ),[1,0],$fot(bit0(one_one_int))]]) ).
cnf(refute_0_240,plain,
( plus_plus_int(one_one_int,one_one_int) != bit0(one_one_int)
| times_times_int(plus_plus_int(one_one_int,one_one_int),number_number_of_int(W_11)) = times_times_int(bit0(one_one_int),number_number_of_int(W_11)) ),
inference(resolve,[$cnf( $equal(times_times_int(plus_plus_int(one_one_int,one_one_int),number_number_of_int(W_11)),times_times_int(plus_plus_int(one_one_int,one_one_int),number_number_of_int(W_11))) )],[refute_0_238,refute_0_239]) ).
cnf(refute_0_241,plain,
times_times_int(plus_plus_int(one_one_int,one_one_int),number_number_of_int(W_11)) = times_times_int(bit0(one_one_int),number_number_of_int(W_11)),
inference(resolve,[$cnf( $equal(plus_plus_int(one_one_int,one_one_int),bit0(one_one_int)) )],[refute_0_218,refute_0_240]) ).
cnf(refute_0_242,plain,
( times_times_int(bit0(one_one_int),number_number_of_int(W_11)) != bit0(times_times_int(one_one_int,number_number_of_int(W_11)))
| times_times_int(plus_plus_int(one_one_int,one_one_int),number_number_of_int(W_11)) != times_times_int(bit0(one_one_int),number_number_of_int(W_11))
| times_times_int(plus_plus_int(one_one_int,one_one_int),number_number_of_int(W_11)) = bit0(times_times_int(one_one_int,number_number_of_int(W_11))) ),
inference(subst,[],[refute_0_12:[bind(X,$fot(times_times_int(plus_plus_int(one_one_int,one_one_int),number_number_of_int(W_11)))),bind(Y,$fot(times_times_int(bit0(one_one_int),number_number_of_int(W_11)))),bind(Z0,$fot(bit0(times_times_int(one_one_int,number_number_of_int(W_11)))))]]) ).
cnf(refute_0_243,plain,
( times_times_int(bit0(one_one_int),number_number_of_int(W_11)) != bit0(times_times_int(one_one_int,number_number_of_int(W_11)))
| times_times_int(plus_plus_int(one_one_int,one_one_int),number_number_of_int(W_11)) = bit0(times_times_int(one_one_int,number_number_of_int(W_11))) ),
inference(resolve,[$cnf( $equal(times_times_int(plus_plus_int(one_one_int,one_one_int),number_number_of_int(W_11)),times_times_int(bit0(one_one_int),number_number_of_int(W_11))) )],[refute_0_241,refute_0_242]) ).
cnf(refute_0_244,plain,
times_times_int(plus_plus_int(one_one_int,one_one_int),number_number_of_int(W_11)) = bit0(times_times_int(one_one_int,number_number_of_int(W_11))),
inference(resolve,[$cnf( $equal(times_times_int(bit0(one_one_int),number_number_of_int(W_11)),bit0(times_times_int(one_one_int,number_number_of_int(W_11)))) )],[refute_0_237,refute_0_243]) ).
cnf(refute_0_245,plain,
( times_times_int(plus_plus_int(one_one_int,one_one_int),number_number_of_int(W_11)) != bit0(times_times_int(one_one_int,number_number_of_int(W_11)))
| times_times_int(plus_plus_int(one_one_int,one_one_int),number_number_of_int(W_11)) != number_number_of_int(bit0(W_11))
| bit0(times_times_int(one_one_int,number_number_of_int(W_11))) = number_number_of_int(bit0(W_11)) ),
introduced(tautology,[equality,[$cnf( $equal(times_times_int(plus_plus_int(one_one_int,one_one_int),number_number_of_int(W_11)),number_number_of_int(bit0(W_11))) ),[0],$fot(bit0(times_times_int(one_one_int,number_number_of_int(W_11))))]]) ).
cnf(refute_0_246,plain,
( times_times_int(plus_plus_int(one_one_int,one_one_int),number_number_of_int(W_11)) != number_number_of_int(bit0(W_11))
| bit0(times_times_int(one_one_int,number_number_of_int(W_11))) = number_number_of_int(bit0(W_11)) ),
inference(resolve,[$cnf( $equal(times_times_int(plus_plus_int(one_one_int,one_one_int),number_number_of_int(W_11)),bit0(times_times_int(one_one_int,number_number_of_int(W_11)))) )],[refute_0_244,refute_0_245]) ).
cnf(refute_0_247,plain,
bit0(times_times_int(one_one_int,number_number_of_int(W_11))) = number_number_of_int(bit0(W_11)),
inference(resolve,[$cnf( $equal(times_times_int(plus_plus_int(one_one_int,one_one_int),number_number_of_int(W_11)),number_number_of_int(bit0(W_11))) )],[refute_0_235,refute_0_246]) ).
cnf(refute_0_248,plain,
plus_plus_int(M_11,M_11) = times_times_int(plus_plus_int(one_one_int,one_one_int),M_11),
inference(canonicalize,[],[normalize_0_35]) ).
cnf(refute_0_249,plain,
plus_plus_int(M_11,M_11) = bit0(M_11),
inference(subst,[],[refute_0_109:[bind(K_1,$fot(M_11))]]) ).
cnf(refute_0_250,plain,
( plus_plus_int(M_11,M_11) != bit0(M_11)
| plus_plus_int(M_11,M_11) != times_times_int(plus_plus_int(one_one_int,one_one_int),M_11)
| bit0(M_11) = times_times_int(plus_plus_int(one_one_int,one_one_int),M_11) ),
introduced(tautology,[equality,[$cnf( $equal(plus_plus_int(M_11,M_11),times_times_int(plus_plus_int(one_one_int,one_one_int),M_11)) ),[0],$fot(bit0(M_11))]]) ).
cnf(refute_0_251,plain,
( plus_plus_int(M_11,M_11) != times_times_int(plus_plus_int(one_one_int,one_one_int),M_11)
| bit0(M_11) = times_times_int(plus_plus_int(one_one_int,one_one_int),M_11) ),
inference(resolve,[$cnf( $equal(plus_plus_int(M_11,M_11),bit0(M_11)) )],[refute_0_249,refute_0_250]) ).
cnf(refute_0_252,plain,
times_times_int(bit0(one_one_int),M_11) = bit0(times_times_int(one_one_int,M_11)),
inference(subst,[],[refute_0_236:[bind(K_1,$fot(one_one_int)),bind(L,$fot(M_11))]]) ).
cnf(refute_0_253,plain,
times_times_int(plus_plus_int(one_one_int,one_one_int),M_11) = times_times_int(plus_plus_int(one_one_int,one_one_int),M_11),
introduced(tautology,[refl,[$fot(times_times_int(plus_plus_int(one_one_int,one_one_int),M_11))]]) ).
cnf(refute_0_254,plain,
( plus_plus_int(one_one_int,one_one_int) != bit0(one_one_int)
| times_times_int(plus_plus_int(one_one_int,one_one_int),M_11) != times_times_int(plus_plus_int(one_one_int,one_one_int),M_11)
| times_times_int(plus_plus_int(one_one_int,one_one_int),M_11) = times_times_int(bit0(one_one_int),M_11) ),
introduced(tautology,[equality,[$cnf( $equal(times_times_int(plus_plus_int(one_one_int,one_one_int),M_11),times_times_int(plus_plus_int(one_one_int,one_one_int),M_11)) ),[1,0],$fot(bit0(one_one_int))]]) ).
cnf(refute_0_255,plain,
( plus_plus_int(one_one_int,one_one_int) != bit0(one_one_int)
| times_times_int(plus_plus_int(one_one_int,one_one_int),M_11) = times_times_int(bit0(one_one_int),M_11) ),
inference(resolve,[$cnf( $equal(times_times_int(plus_plus_int(one_one_int,one_one_int),M_11),times_times_int(plus_plus_int(one_one_int,one_one_int),M_11)) )],[refute_0_253,refute_0_254]) ).
cnf(refute_0_256,plain,
times_times_int(plus_plus_int(one_one_int,one_one_int),M_11) = times_times_int(bit0(one_one_int),M_11),
inference(resolve,[$cnf( $equal(plus_plus_int(one_one_int,one_one_int),bit0(one_one_int)) )],[refute_0_218,refute_0_255]) ).
cnf(refute_0_257,plain,
( times_times_int(bit0(one_one_int),M_11) != bit0(times_times_int(one_one_int,M_11))
| times_times_int(plus_plus_int(one_one_int,one_one_int),M_11) != times_times_int(bit0(one_one_int),M_11)
| times_times_int(plus_plus_int(one_one_int,one_one_int),M_11) = bit0(times_times_int(one_one_int,M_11)) ),
inference(subst,[],[refute_0_12:[bind(X,$fot(times_times_int(plus_plus_int(one_one_int,one_one_int),M_11))),bind(Y,$fot(times_times_int(bit0(one_one_int),M_11))),bind(Z0,$fot(bit0(times_times_int(one_one_int,M_11))))]]) ).
cnf(refute_0_258,plain,
( times_times_int(bit0(one_one_int),M_11) != bit0(times_times_int(one_one_int,M_11))
| times_times_int(plus_plus_int(one_one_int,one_one_int),M_11) = bit0(times_times_int(one_one_int,M_11)) ),
inference(resolve,[$cnf( $equal(times_times_int(plus_plus_int(one_one_int,one_one_int),M_11),times_times_int(bit0(one_one_int),M_11)) )],[refute_0_256,refute_0_257]) ).
cnf(refute_0_259,plain,
times_times_int(plus_plus_int(one_one_int,one_one_int),M_11) = bit0(times_times_int(one_one_int,M_11)),
inference(resolve,[$cnf( $equal(times_times_int(bit0(one_one_int),M_11),bit0(times_times_int(one_one_int,M_11))) )],[refute_0_252,refute_0_258]) ).
cnf(refute_0_260,plain,
( bit0(M_11) != times_times_int(plus_plus_int(one_one_int,one_one_int),M_11)
| times_times_int(plus_plus_int(one_one_int,one_one_int),M_11) != bit0(times_times_int(one_one_int,M_11))
| bit0(M_11) = bit0(times_times_int(one_one_int,M_11)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(bit0(M_11),bit0(times_times_int(one_one_int,M_11))) ),[0],$fot(times_times_int(plus_plus_int(one_one_int,one_one_int),M_11))]]) ).
cnf(refute_0_261,plain,
( bit0(M_11) != times_times_int(plus_plus_int(one_one_int,one_one_int),M_11)
| bit0(M_11) = bit0(times_times_int(one_one_int,M_11)) ),
inference(resolve,[$cnf( $equal(times_times_int(plus_plus_int(one_one_int,one_one_int),M_11),bit0(times_times_int(one_one_int,M_11))) )],[refute_0_259,refute_0_260]) ).
cnf(refute_0_262,plain,
( plus_plus_int(M_11,M_11) != times_times_int(plus_plus_int(one_one_int,one_one_int),M_11)
| bit0(M_11) = bit0(times_times_int(one_one_int,M_11)) ),
inference(resolve,[$cnf( $equal(bit0(M_11),times_times_int(plus_plus_int(one_one_int,one_one_int),M_11)) )],[refute_0_251,refute_0_261]) ).
cnf(refute_0_263,plain,
bit0(M_11) = bit0(times_times_int(one_one_int,M_11)),
inference(resolve,[$cnf( $equal(plus_plus_int(M_11,M_11),times_times_int(plus_plus_int(one_one_int,one_one_int),M_11)) )],[refute_0_248,refute_0_262]) ).
cnf(refute_0_264,plain,
( bit0(M_11) != bit0(times_times_int(one_one_int,M_11))
| bit0(times_times_int(one_one_int,M_11)) = bit0(M_11) ),
inference(subst,[],[refute_0_5:[bind(X,$fot(bit0(M_11))),bind(Y,$fot(bit0(times_times_int(one_one_int,M_11))))]]) ).
cnf(refute_0_265,plain,
bit0(times_times_int(one_one_int,M_11)) = bit0(M_11),
inference(resolve,[$cnf( $equal(bit0(M_11),bit0(times_times_int(one_one_int,M_11))) )],[refute_0_263,refute_0_264]) ).
cnf(refute_0_266,plain,
bit0(times_times_int(one_one_int,number_number_of_int(W_11))) = bit0(number_number_of_int(W_11)),
inference(subst,[],[refute_0_265:[bind(M_11,$fot(number_number_of_int(W_11)))]]) ).
cnf(refute_0_267,plain,
( bit0(times_times_int(one_one_int,number_number_of_int(W_11))) != bit0(number_number_of_int(W_11))
| bit0(times_times_int(one_one_int,number_number_of_int(W_11))) != number_number_of_int(bit0(W_11))
| bit0(number_number_of_int(W_11)) = number_number_of_int(bit0(W_11)) ),
introduced(tautology,[equality,[$cnf( $equal(bit0(times_times_int(one_one_int,number_number_of_int(W_11))),number_number_of_int(bit0(W_11))) ),[0],$fot(bit0(number_number_of_int(W_11)))]]) ).
cnf(refute_0_268,plain,
( bit0(times_times_int(one_one_int,number_number_of_int(W_11))) != number_number_of_int(bit0(W_11))
| bit0(number_number_of_int(W_11)) = number_number_of_int(bit0(W_11)) ),
inference(resolve,[$cnf( $equal(bit0(times_times_int(one_one_int,number_number_of_int(W_11))),bit0(number_number_of_int(W_11))) )],[refute_0_266,refute_0_267]) ).
cnf(refute_0_269,plain,
bit0(number_number_of_int(W_11)) = number_number_of_int(bit0(W_11)),
inference(resolve,[$cnf( $equal(bit0(times_times_int(one_one_int,number_number_of_int(W_11))),number_number_of_int(bit0(W_11))) )],[refute_0_247,refute_0_268]) ).
cnf(refute_0_270,plain,
( bit0(number_number_of_int(W_11)) != number_number_of_int(bit0(W_11))
| number_number_of_int(bit0(W_11)) = bit0(number_number_of_int(W_11)) ),
inference(subst,[],[refute_0_5:[bind(X,$fot(bit0(number_number_of_int(W_11)))),bind(Y,$fot(number_number_of_int(bit0(W_11))))]]) ).
cnf(refute_0_271,plain,
number_number_of_int(bit0(W_11)) = bit0(number_number_of_int(W_11)),
inference(resolve,[$cnf( $equal(bit0(number_number_of_int(W_11)),number_number_of_int(bit0(W_11))) )],[refute_0_269,refute_0_270]) ).
cnf(refute_0_272,plain,
number_number_of_int(bit0(bit0(one_one_int))) = bit0(number_number_of_int(bit0(one_one_int))),
inference(subst,[],[refute_0_271:[bind(W_11,$fot(bit0(one_one_int)))]]) ).
cnf(refute_0_273,plain,
( bit0(number_number_of_int(bit0(one_one_int))) != bit0(bit0(one_one_int))
| number_number_of_int(bit0(bit0(one_one_int))) != bit0(number_number_of_int(bit0(one_one_int)))
| number_number_of_int(bit0(bit0(one_one_int))) = bit0(bit0(one_one_int)) ),
inference(subst,[],[refute_0_12:[bind(X,$fot(number_number_of_int(bit0(bit0(one_one_int))))),bind(Y,$fot(bit0(number_number_of_int(bit0(one_one_int))))),bind(Z0,$fot(bit0(bit0(one_one_int))))]]) ).
cnf(refute_0_274,plain,
( bit0(number_number_of_int(bit0(one_one_int))) != bit0(bit0(one_one_int))
| number_number_of_int(bit0(bit0(one_one_int))) = bit0(bit0(one_one_int)) ),
inference(resolve,[$cnf( $equal(number_number_of_int(bit0(bit0(one_one_int))),bit0(number_number_of_int(bit0(one_one_int)))) )],[refute_0_272,refute_0_273]) ).
cnf(refute_0_275,plain,
number_number_of_int(bit0(bit0(one_one_int))) = bit0(bit0(one_one_int)),
inference(resolve,[$cnf( $equal(bit0(number_number_of_int(bit0(one_one_int))),bit0(bit0(one_one_int))) )],[refute_0_234,refute_0_274]) ).
cnf(refute_0_276,plain,
times_times_int(t,number_number_of_int(bit0(bit0(one_one_int)))) = times_times_int(t,number_number_of_int(bit0(bit0(one_one_int)))),
introduced(tautology,[refl,[$fot(times_times_int(t,number_number_of_int(bit0(bit0(one_one_int)))))]]) ).
cnf(refute_0_277,plain,
( number_number_of_int(bit0(bit0(one_one_int))) != bit0(bit0(one_one_int))
| times_times_int(t,number_number_of_int(bit0(bit0(one_one_int)))) != times_times_int(t,number_number_of_int(bit0(bit0(one_one_int))))
| times_times_int(t,number_number_of_int(bit0(bit0(one_one_int)))) = times_times_int(t,bit0(bit0(one_one_int))) ),
introduced(tautology,[equality,[$cnf( $equal(times_times_int(t,number_number_of_int(bit0(bit0(one_one_int)))),times_times_int(t,number_number_of_int(bit0(bit0(one_one_int))))) ),[1,1],$fot(bit0(bit0(one_one_int)))]]) ).
cnf(refute_0_278,plain,
( number_number_of_int(bit0(bit0(one_one_int))) != bit0(bit0(one_one_int))
| times_times_int(t,number_number_of_int(bit0(bit0(one_one_int)))) = times_times_int(t,bit0(bit0(one_one_int))) ),
inference(resolve,[$cnf( $equal(times_times_int(t,number_number_of_int(bit0(bit0(one_one_int)))),times_times_int(t,number_number_of_int(bit0(bit0(one_one_int))))) )],[refute_0_276,refute_0_277]) ).
cnf(refute_0_279,plain,
times_times_int(t,number_number_of_int(bit0(bit0(one_one_int)))) = times_times_int(t,bit0(bit0(one_one_int))),
inference(resolve,[$cnf( $equal(number_number_of_int(bit0(bit0(one_one_int))),bit0(bit0(one_one_int))) )],[refute_0_275,refute_0_278]) ).
cnf(refute_0_280,plain,
times_times_int(m,times_times_int(t,number_number_of_int(bit0(bit0(one_one_int))))) = times_times_int(m,times_times_int(t,number_number_of_int(bit0(bit0(one_one_int))))),
introduced(tautology,[refl,[$fot(times_times_int(m,times_times_int(t,number_number_of_int(bit0(bit0(one_one_int))))))]]) ).
cnf(refute_0_281,plain,
( times_times_int(m,times_times_int(t,number_number_of_int(bit0(bit0(one_one_int))))) != times_times_int(m,times_times_int(t,number_number_of_int(bit0(bit0(one_one_int)))))
| times_times_int(t,number_number_of_int(bit0(bit0(one_one_int)))) != times_times_int(t,bit0(bit0(one_one_int)))
| times_times_int(m,times_times_int(t,number_number_of_int(bit0(bit0(one_one_int))))) = times_times_int(m,times_times_int(t,bit0(bit0(one_one_int)))) ),
introduced(tautology,[equality,[$cnf( $equal(times_times_int(m,times_times_int(t,number_number_of_int(bit0(bit0(one_one_int))))),times_times_int(m,times_times_int(t,number_number_of_int(bit0(bit0(one_one_int)))))) ),[1,1],$fot(times_times_int(t,bit0(bit0(one_one_int))))]]) ).
cnf(refute_0_282,plain,
( times_times_int(t,number_number_of_int(bit0(bit0(one_one_int)))) != times_times_int(t,bit0(bit0(one_one_int)))
| times_times_int(m,times_times_int(t,number_number_of_int(bit0(bit0(one_one_int))))) = times_times_int(m,times_times_int(t,bit0(bit0(one_one_int)))) ),
inference(resolve,[$cnf( $equal(times_times_int(m,times_times_int(t,number_number_of_int(bit0(bit0(one_one_int))))),times_times_int(m,times_times_int(t,number_number_of_int(bit0(bit0(one_one_int)))))) )],[refute_0_280,refute_0_281]) ).
cnf(refute_0_283,plain,
times_times_int(m,times_times_int(t,number_number_of_int(bit0(bit0(one_one_int))))) = times_times_int(m,times_times_int(t,bit0(bit0(one_one_int)))),
inference(resolve,[$cnf( $equal(times_times_int(t,number_number_of_int(bit0(bit0(one_one_int)))),times_times_int(t,bit0(bit0(one_one_int)))) )],[refute_0_279,refute_0_282]) ).
cnf(refute_0_284,plain,
plus_plus_int(t,times_times_int(m,times_times_int(t,number_number_of_int(bit0(bit0(one_one_int)))))) = plus_plus_int(t,times_times_int(m,times_times_int(t,number_number_of_int(bit0(bit0(one_one_int)))))),
introduced(tautology,[refl,[$fot(plus_plus_int(t,times_times_int(m,times_times_int(t,number_number_of_int(bit0(bit0(one_one_int)))))))]]) ).
cnf(refute_0_285,plain,
( plus_plus_int(t,times_times_int(m,times_times_int(t,number_number_of_int(bit0(bit0(one_one_int)))))) != plus_plus_int(t,times_times_int(m,times_times_int(t,number_number_of_int(bit0(bit0(one_one_int))))))
| times_times_int(m,times_times_int(t,number_number_of_int(bit0(bit0(one_one_int))))) != times_times_int(m,times_times_int(t,bit0(bit0(one_one_int))))
| plus_plus_int(t,times_times_int(m,times_times_int(t,number_number_of_int(bit0(bit0(one_one_int)))))) = plus_plus_int(t,times_times_int(m,times_times_int(t,bit0(bit0(one_one_int))))) ),
introduced(tautology,[equality,[$cnf( $equal(plus_plus_int(t,times_times_int(m,times_times_int(t,number_number_of_int(bit0(bit0(one_one_int)))))),plus_plus_int(t,times_times_int(m,times_times_int(t,number_number_of_int(bit0(bit0(one_one_int))))))) ),[1,1],$fot(times_times_int(m,times_times_int(t,bit0(bit0(one_one_int)))))]]) ).
cnf(refute_0_286,plain,
( times_times_int(m,times_times_int(t,number_number_of_int(bit0(bit0(one_one_int))))) != times_times_int(m,times_times_int(t,bit0(bit0(one_one_int))))
| plus_plus_int(t,times_times_int(m,times_times_int(t,number_number_of_int(bit0(bit0(one_one_int)))))) = plus_plus_int(t,times_times_int(m,times_times_int(t,bit0(bit0(one_one_int))))) ),
inference(resolve,[$cnf( $equal(plus_plus_int(t,times_times_int(m,times_times_int(t,number_number_of_int(bit0(bit0(one_one_int)))))),plus_plus_int(t,times_times_int(m,times_times_int(t,number_number_of_int(bit0(bit0(one_one_int))))))) )],[refute_0_284,refute_0_285]) ).
cnf(refute_0_287,plain,
plus_plus_int(t,times_times_int(m,times_times_int(t,number_number_of_int(bit0(bit0(one_one_int)))))) = plus_plus_int(t,times_times_int(m,times_times_int(t,bit0(bit0(one_one_int))))),
inference(resolve,[$cnf( $equal(times_times_int(m,times_times_int(t,number_number_of_int(bit0(bit0(one_one_int))))),times_times_int(m,times_times_int(t,bit0(bit0(one_one_int))))) )],[refute_0_283,refute_0_286]) ).
cnf(refute_0_288,plain,
( plus_plus_int(one_one_int,times_times_int(s,s)) != plus_plus_int(t,times_times_int(m,times_times_int(t,number_number_of_int(bit0(bit0(one_one_int))))))
| plus_plus_int(t,times_times_int(m,times_times_int(t,number_number_of_int(bit0(bit0(one_one_int)))))) != plus_plus_int(t,times_times_int(m,times_times_int(t,bit0(bit0(one_one_int)))))
| plus_plus_int(one_one_int,times_times_int(s,s)) = plus_plus_int(t,times_times_int(m,times_times_int(t,bit0(bit0(one_one_int))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(plus_plus_int(one_one_int,times_times_int(s,s)),plus_plus_int(t,times_times_int(m,times_times_int(t,bit0(bit0(one_one_int)))))) ),[0],$fot(plus_plus_int(t,times_times_int(m,times_times_int(t,number_number_of_int(bit0(bit0(one_one_int)))))))]]) ).
cnf(refute_0_289,plain,
( plus_plus_int(one_one_int,times_times_int(s,s)) != plus_plus_int(t,times_times_int(m,times_times_int(t,number_number_of_int(bit0(bit0(one_one_int))))))
| plus_plus_int(one_one_int,times_times_int(s,s)) = plus_plus_int(t,times_times_int(m,times_times_int(t,bit0(bit0(one_one_int))))) ),
inference(resolve,[$cnf( $equal(plus_plus_int(t,times_times_int(m,times_times_int(t,number_number_of_int(bit0(bit0(one_one_int)))))),plus_plus_int(t,times_times_int(m,times_times_int(t,bit0(bit0(one_one_int)))))) )],[refute_0_287,refute_0_288]) ).
cnf(refute_0_290,plain,
plus_plus_int(one_one_int,times_times_int(s,s)) = plus_plus_int(t,times_times_int(m,times_times_int(t,bit0(bit0(one_one_int))))),
inference(resolve,[$cnf( $equal(plus_plus_int(one_one_int,times_times_int(s,s)),plus_plus_int(t,times_times_int(m,times_times_int(t,number_number_of_int(bit0(bit0(one_one_int))))))) )],[refute_0_216,refute_0_289]) ).
cnf(refute_0_291,plain,
( plus_plus_int(one_one_int,times_times_int(s,s)) != plus_plus_int(t,times_times_int(m,times_times_int(t,bit0(bit0(one_one_int)))))
| plus_plus_int(t,times_times_int(m,times_times_int(t,bit0(bit0(one_one_int))))) = plus_plus_int(one_one_int,times_times_int(s,s)) ),
inference(subst,[],[refute_0_5:[bind(X,$fot(plus_plus_int(one_one_int,times_times_int(s,s)))),bind(Y,$fot(plus_plus_int(t,times_times_int(m,times_times_int(t,bit0(bit0(one_one_int)))))))]]) ).
cnf(refute_0_292,plain,
plus_plus_int(t,times_times_int(m,times_times_int(t,bit0(bit0(one_one_int))))) = plus_plus_int(one_one_int,times_times_int(s,s)),
inference(resolve,[$cnf( $equal(plus_plus_int(one_one_int,times_times_int(s,s)),plus_plus_int(t,times_times_int(m,times_times_int(t,bit0(bit0(one_one_int)))))) )],[refute_0_290,refute_0_291]) ).
cnf(refute_0_293,plain,
( plus_plus_int(t,times_times_int(m,times_times_int(t,bit0(bit0(one_one_int))))) != plus_plus_int(one_one_int,times_times_int(s,s))
| plus_plus_int(t,times_times_int(m,times_times_int(t,number_number_of_int(bit0(bit0(one_one_int)))))) != plus_plus_int(t,times_times_int(m,times_times_int(t,bit0(bit0(one_one_int)))))
| plus_plus_int(t,times_times_int(m,times_times_int(t,number_number_of_int(bit0(bit0(one_one_int)))))) = plus_plus_int(one_one_int,times_times_int(s,s)) ),
inference(subst,[],[refute_0_12:[bind(X,$fot(plus_plus_int(t,times_times_int(m,times_times_int(t,number_number_of_int(bit0(bit0(one_one_int)))))))),bind(Y,$fot(plus_plus_int(t,times_times_int(m,times_times_int(t,bit0(bit0(one_one_int))))))),bind(Z0,$fot(plus_plus_int(one_one_int,times_times_int(s,s))))]]) ).
cnf(refute_0_294,plain,
( plus_plus_int(t,times_times_int(m,times_times_int(t,bit0(bit0(one_one_int))))) != plus_plus_int(one_one_int,times_times_int(s,s))
| plus_plus_int(t,times_times_int(m,times_times_int(t,number_number_of_int(bit0(bit0(one_one_int)))))) = plus_plus_int(one_one_int,times_times_int(s,s)) ),
inference(resolve,[$cnf( $equal(plus_plus_int(t,times_times_int(m,times_times_int(t,number_number_of_int(bit0(bit0(one_one_int)))))),plus_plus_int(t,times_times_int(m,times_times_int(t,bit0(bit0(one_one_int)))))) )],[refute_0_287,refute_0_293]) ).
cnf(refute_0_295,plain,
plus_plus_int(t,times_times_int(m,times_times_int(t,number_number_of_int(bit0(bit0(one_one_int)))))) = plus_plus_int(one_one_int,times_times_int(s,s)),
inference(resolve,[$cnf( $equal(plus_plus_int(t,times_times_int(m,times_times_int(t,bit0(bit0(one_one_int))))),plus_plus_int(one_one_int,times_times_int(s,s))) )],[refute_0_292,refute_0_294]) ).
cnf(refute_0_296,plain,
( plus_plus_int(t,times_times_int(m,times_times_int(t,number_number_of_int(bit0(bit0(one_one_int)))))) != plus_plus_int(one_one_int,times_times_int(s,s))
| ~ ord_less_int(plus_plus_int(t,times_times_int(m,times_times_int(t,number_number_of_int(bit0(bit0(one_one_int)))))),pls)
| ord_less_int(plus_plus_int(one_one_int,times_times_int(s,s)),pls) ),
introduced(tautology,[equality,[$cnf( ord_less_int(plus_plus_int(t,times_times_int(m,times_times_int(t,number_number_of_int(bit0(bit0(one_one_int)))))),pls) ),[0],$fot(plus_plus_int(one_one_int,times_times_int(s,s)))]]) ).
cnf(refute_0_297,plain,
( ~ ord_less_int(plus_plus_int(t,times_times_int(m,times_times_int(t,number_number_of_int(bit0(bit0(one_one_int)))))),pls)
| ord_less_int(plus_plus_int(one_one_int,times_times_int(s,s)),pls) ),
inference(resolve,[$cnf( $equal(plus_plus_int(t,times_times_int(m,times_times_int(t,number_number_of_int(bit0(bit0(one_one_int)))))),plus_plus_int(one_one_int,times_times_int(s,s))) )],[refute_0_295,refute_0_296]) ).
cnf(refute_0_298,plain,
ord_less_int(plus_plus_int(one_one_int,times_times_int(s,s)),pls),
inference(resolve,[$cnf( ord_less_int(plus_plus_int(t,times_times_int(m,times_times_int(t,number_number_of_int(bit0(bit0(one_one_int)))))),pls) )],[refute_0_182,refute_0_297]) ).
cnf(refute_0_299,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(canonicalize,[],[normalize_0_36]) ).
cnf(refute_0_300,plain,
( plus_plus_int(power_power_int(s,number_number_of_nat(bit0(bit1(pls)))),one_one_int) != plus_plus_int(one_one_int,times_times_int(s,s))
| ~ ord_less_int(plus_plus_int(one_one_int,times_times_int(s,s)),zero_zero_int)
| ord_less_int(plus_plus_int(power_power_int(s,number_number_of_nat(bit0(bit1(pls)))),one_one_int),zero_zero_int) ),
introduced(tautology,[equality,[$cnf( ~ ord_less_int(plus_plus_int(power_power_int(s,number_number_of_nat(bit0(bit1(pls)))),one_one_int),zero_zero_int) ),[0],$fot(plus_plus_int(one_one_int,times_times_int(s,s)))]]) ).
cnf(refute_0_301,plain,
( ~ ord_less_int(plus_plus_int(one_one_int,times_times_int(s,s)),zero_zero_int)
| ord_less_int(plus_plus_int(power_power_int(s,number_number_of_nat(bit0(bit1(pls)))),one_one_int),zero_zero_int) ),
inference(resolve,[$cnf( $equal(plus_plus_int(power_power_int(s,number_number_of_nat(bit0(bit1(pls)))),one_one_int),plus_plus_int(one_one_int,times_times_int(s,s))) )],[refute_0_210,refute_0_300]) ).
cnf(refute_0_302,plain,
( zero_zero_int != pls
| ~ ord_less_int(plus_plus_int(one_one_int,times_times_int(s,s)),pls)
| ord_less_int(plus_plus_int(one_one_int,times_times_int(s,s)),zero_zero_int) ),
introduced(tautology,[equality,[$cnf( ~ ord_less_int(plus_plus_int(one_one_int,times_times_int(s,s)),zero_zero_int) ),[1],$fot(pls)]]) ).
cnf(refute_0_303,plain,
( ~ ord_less_int(plus_plus_int(one_one_int,times_times_int(s,s)),pls)
| ord_less_int(plus_plus_int(one_one_int,times_times_int(s,s)),zero_zero_int) ),
inference(resolve,[$cnf( $equal(zero_zero_int,pls) )],[refute_0_7,refute_0_302]) ).
cnf(refute_0_304,plain,
( ~ ord_less_int(plus_plus_int(one_one_int,times_times_int(s,s)),pls)
| ord_less_int(plus_plus_int(power_power_int(s,number_number_of_nat(bit0(bit1(pls)))),one_one_int),zero_zero_int) ),
inference(resolve,[$cnf( ord_less_int(plus_plus_int(one_one_int,times_times_int(s,s)),zero_zero_int) )],[refute_0_303,refute_0_301]) ).
cnf(refute_0_305,plain,
~ ord_less_int(plus_plus_int(one_one_int,times_times_int(s,s)),pls),
inference(resolve,[$cnf( ord_less_int(plus_plus_int(power_power_int(s,number_number_of_nat(bit0(bit1(pls)))),one_one_int),zero_zero_int) )],[refute_0_304,refute_0_299]) ).
cnf(refute_0_306,plain,
$false,
inference(resolve,[$cnf( ord_less_int(plus_plus_int(one_one_int,times_times_int(s,s)),pls) )],[refute_0_298,refute_0_305]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : NUM924+2 : TPTP v8.1.0. Released v5.3.0.
% 0.03/0.12 % Command : metis --show proof --show saturation %s
% 0.12/0.33 % Computer : n026.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Thu Jul 7 21:38:24 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.34 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.91/1.11 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.91/1.11
% 0.91/1.11 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.98/1.15
%------------------------------------------------------------------------------