TSTP Solution File: NUM924+6 by Metis---2.4
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : NUM924+6 : TPTP v8.1.0. Released v5.3.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n021.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 12:31:35 EDT 2022
% Result : Theorem 0.85s 1.08s
% Output : CNFRefutation 0.92s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 59
% Syntax : Number of formulae : 217 ( 116 unt; 0 def)
% Number of atoms : 364 ( 328 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 298 ( 151 ~; 147 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 4 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 17 ( 17 usr; 7 con; 0-3 aty)
% Number of variables : 61 ( 1 sgn 24 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(tsy_c_Int_OBit0_res,hypothesis,
! [B_1_1] : ti(int,bit0(B_1_1)) = bit0(B_1_1) ).
fof(tsy_c_Int_OBit1_res,hypothesis,
! [B_1_1] : ti(int,bit1(B_1_1)) = bit1(B_1_1) ).
fof(tsy_c_Int_OMin_res,axiom,
ti(int,min) = min ).
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_22_number__of__is__id,axiom,
! [K] : number_number_of(int,K) = ti(int,K) ).
fof(fact_23_zmult__commute,axiom,
! [Z,W] : times_times(int,Z,W) = times_times(int,W,Z) ).
fof(fact_62_mult__Pls,axiom,
! [W] : times_times(int,pls,W) = pls ).
fof(fact_96_zadd__commute,axiom,
! [Z,W] : plus_plus(int,Z,W) = plus_plus(int,W,Z) ).
fof(fact_109_one__is__num__one,axiom,
one_one(int) = number_number_of(int,bit1(pls)) ).
fof(fact_120_Pls__def,axiom,
pls = zero_zero(int) ).
fof(fact_324__096s_A_094_A2_A_N_A_N1_A_061_As_A_094_A2_A_L_A1_096,axiom,
minus_minus(int,power_power(int,s,number_number_of(nat,bit0(bit1(pls)))),number_number_of(int,min)) = plus_plus(int,power_power(int,s,number_number_of(nat,bit0(bit1(pls)))),one_one(int)) ).
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,
! [W,Z] : times_times(int,Z,W) = times_times(int,W,Z),
inference(canonicalize,[],[fact_23_zmult__commute]) ).
fof(normalize_0_2,plain,
! [W,Z] : times_times(int,Z,W) = times_times(int,W,Z),
inference(specialize,[],[normalize_0_1]) ).
fof(normalize_0_3,plain,
! [W,Z] : plus_plus(int,Z,W) = plus_plus(int,W,Z),
inference(canonicalize,[],[fact_96_zadd__commute]) ).
fof(normalize_0_4,plain,
! [W,Z] : plus_plus(int,Z,W) = plus_plus(int,W,Z),
inference(specialize,[],[normalize_0_3]) ).
fof(normalize_0_5,plain,
! [W] : times_times(int,pls,W) = pls,
inference(canonicalize,[],[fact_62_mult__Pls]) ).
fof(normalize_0_6,plain,
! [W] : times_times(int,pls,W) = pls,
inference(specialize,[],[normalize_0_5]) ).
fof(normalize_0_7,plain,
pls = zero_zero(int),
inference(canonicalize,[],[fact_120_Pls__def]) ).
fof(normalize_0_8,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_9,plain,
! [B_1_1] : ti(int,bit0(B_1_1)) = bit0(B_1_1),
inference(canonicalize,[],[tsy_c_Int_OBit0_res]) ).
fof(normalize_0_10,plain,
! [B_1_1] : ti(int,bit0(B_1_1)) = bit0(B_1_1),
inference(specialize,[],[normalize_0_9]) ).
fof(normalize_0_11,plain,
! [K] : number_number_of(int,K) = ti(int,K),
inference(canonicalize,[],[fact_22_number__of__is__id]) ).
fof(normalize_0_12,plain,
! [K] : number_number_of(int,K) = ti(int,K),
inference(specialize,[],[normalize_0_11]) ).
fof(normalize_0_13,plain,
one_one(int) = number_number_of(int,bit1(pls)),
inference(canonicalize,[],[fact_109_one__is__num__one]) ).
fof(normalize_0_14,plain,
! [B_1_1] : ti(int,bit1(B_1_1)) = bit1(B_1_1),
inference(canonicalize,[],[tsy_c_Int_OBit1_res]) ).
fof(normalize_0_15,plain,
! [B_1_1] : ti(int,bit1(B_1_1)) = bit1(B_1_1),
inference(specialize,[],[normalize_0_14]) ).
fof(normalize_0_16,plain,
minus_minus(int,power_power(int,s,number_number_of(nat,bit0(bit1(pls)))),number_number_of(int,min)) = plus_plus(int,power_power(int,s,number_number_of(nat,bit0(bit1(pls)))),one_one(int)),
inference(canonicalize,[],[fact_324__096s_A_094_A2_A_N_A_N1_A_061_As_A_094_A2_A_L_A1_096]) ).
fof(normalize_0_17,plain,
ti(int,min) = min,
inference(canonicalize,[],[tsy_c_Int_OMin_res]) ).
fof(normalize_0_18,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,
times_times(int,Z,W) = times_times(int,W,Z),
inference(canonicalize,[],[normalize_0_2]) ).
cnf(refute_0_2,plain,
X = X,
introduced(tautology,[refl,[$fot(X)]]) ).
cnf(refute_0_3,plain,
( X != X
| X != Y
| Y = X ),
introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).
cnf(refute_0_4,plain,
( X != Y
| Y = X ),
inference(resolve,[$cnf( $equal(X,X) )],[refute_0_2,refute_0_3]) ).
cnf(refute_0_5,plain,
( times_times(int,Z,W) != times_times(int,W,Z)
| times_times(int,W,Z) = times_times(int,Z,W) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(times_times(int,Z,W))),bind(Y,$fot(times_times(int,W,Z)))]]) ).
cnf(refute_0_6,plain,
times_times(int,W,Z) = times_times(int,Z,W),
inference(resolve,[$cnf( $equal(times_times(int,Z,W),times_times(int,W,Z)) )],[refute_0_1,refute_0_5]) ).
cnf(refute_0_7,plain,
times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m) = times_times(int,m,number_number_of(int,bit0(bit0(bit1(pls))))),
inference(subst,[],[refute_0_6:[bind(W,$fot(number_number_of(int,bit0(bit0(bit1(pls)))))),bind(Z,$fot(m))]]) ).
cnf(refute_0_8,plain,
plus_plus(int,one_one(int),times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m)) = plus_plus(int,one_one(int),times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m)),
introduced(tautology,[refl,[$fot(plus_plus(int,one_one(int),times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m)))]]) ).
cnf(refute_0_9,plain,
( plus_plus(int,one_one(int),times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m)) != plus_plus(int,one_one(int),times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m))
| times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m) != times_times(int,m,number_number_of(int,bit0(bit0(bit1(pls)))))
| plus_plus(int,one_one(int),times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m)) = plus_plus(int,one_one(int),times_times(int,m,number_number_of(int,bit0(bit0(bit1(pls)))))) ),
introduced(tautology,[equality,[$cnf( $equal(plus_plus(int,one_one(int),times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m)),plus_plus(int,one_one(int),times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m))) ),[1,2],$fot(times_times(int,m,number_number_of(int,bit0(bit0(bit1(pls))))))]]) ).
cnf(refute_0_10,plain,
( times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m) != times_times(int,m,number_number_of(int,bit0(bit0(bit1(pls)))))
| plus_plus(int,one_one(int),times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m)) = plus_plus(int,one_one(int),times_times(int,m,number_number_of(int,bit0(bit0(bit1(pls)))))) ),
inference(resolve,[$cnf( $equal(plus_plus(int,one_one(int),times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m)),plus_plus(int,one_one(int),times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m))) )],[refute_0_8,refute_0_9]) ).
cnf(refute_0_11,plain,
plus_plus(int,one_one(int),times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m)) = plus_plus(int,one_one(int),times_times(int,m,number_number_of(int,bit0(bit0(bit1(pls)))))),
inference(resolve,[$cnf( $equal(times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),times_times(int,m,number_number_of(int,bit0(bit0(bit1(pls)))))) )],[refute_0_7,refute_0_10]) ).
cnf(refute_0_12,plain,
plus_plus(int,Z,W) = plus_plus(int,W,Z),
inference(canonicalize,[],[normalize_0_4]) ).
cnf(refute_0_13,plain,
( plus_plus(int,Z,W) != plus_plus(int,W,Z)
| plus_plus(int,W,Z) = plus_plus(int,Z,W) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(plus_plus(int,Z,W))),bind(Y,$fot(plus_plus(int,W,Z)))]]) ).
cnf(refute_0_14,plain,
plus_plus(int,W,Z) = plus_plus(int,Z,W),
inference(resolve,[$cnf( $equal(plus_plus(int,Z,W),plus_plus(int,W,Z)) )],[refute_0_12,refute_0_13]) ).
cnf(refute_0_15,plain,
plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int)) = plus_plus(int,one_one(int),times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m)),
inference(subst,[],[refute_0_14:[bind(W,$fot(times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m))),bind(Z,$fot(one_one(int)))]]) ).
cnf(refute_0_16,plain,
( Y != X
| Y != Z0
| X = Z0 ),
introduced(tautology,[equality,[$cnf( $equal(Y,Z0) ),[0],$fot(X)]]) ).
cnf(refute_0_17,plain,
( X != Y
| Y != Z0
| X = Z0 ),
inference(resolve,[$cnf( $equal(Y,X) )],[refute_0_4,refute_0_16]) ).
cnf(refute_0_18,plain,
( plus_plus(int,one_one(int),times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m)) != plus_plus(int,one_one(int),times_times(int,m,number_number_of(int,bit0(bit0(bit1(pls))))))
| plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int)) != plus_plus(int,one_one(int),times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m))
| plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int)) = plus_plus(int,one_one(int),times_times(int,m,number_number_of(int,bit0(bit0(bit1(pls)))))) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int)))),bind(Y,$fot(plus_plus(int,one_one(int),times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m)))),bind(Z0,$fot(plus_plus(int,one_one(int),times_times(int,m,number_number_of(int,bit0(bit0(bit1(pls))))))))]]) ).
cnf(refute_0_19,plain,
( plus_plus(int,one_one(int),times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m)) != plus_plus(int,one_one(int),times_times(int,m,number_number_of(int,bit0(bit0(bit1(pls))))))
| plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int)) = plus_plus(int,one_one(int),times_times(int,m,number_number_of(int,bit0(bit0(bit1(pls)))))) ),
inference(resolve,[$cnf( $equal(plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int)),plus_plus(int,one_one(int),times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m))) )],[refute_0_15,refute_0_18]) ).
cnf(refute_0_20,plain,
plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int)) = plus_plus(int,one_one(int),times_times(int,m,number_number_of(int,bit0(bit0(bit1(pls)))))),
inference(resolve,[$cnf( $equal(plus_plus(int,one_one(int),times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m)),plus_plus(int,one_one(int),times_times(int,m,number_number_of(int,bit0(bit0(bit1(pls))))))) )],[refute_0_11,refute_0_19]) ).
cnf(refute_0_21,plain,
times_times(int,t,plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int))) = times_times(int,t,plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int))),
introduced(tautology,[refl,[$fot(times_times(int,t,plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int))))]]) ).
cnf(refute_0_22,plain,
( plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int)) != plus_plus(int,one_one(int),times_times(int,m,number_number_of(int,bit0(bit0(bit1(pls))))))
| times_times(int,t,plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int))) != times_times(int,t,plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int)))
| times_times(int,t,plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int))) = times_times(int,t,plus_plus(int,one_one(int),times_times(int,m,number_number_of(int,bit0(bit0(bit1(pls))))))) ),
introduced(tautology,[equality,[$cnf( $equal(times_times(int,t,plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int))),times_times(int,t,plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int)))) ),[1,2],$fot(plus_plus(int,one_one(int),times_times(int,m,number_number_of(int,bit0(bit0(bit1(pls)))))))]]) ).
cnf(refute_0_23,plain,
( plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int)) != plus_plus(int,one_one(int),times_times(int,m,number_number_of(int,bit0(bit0(bit1(pls))))))
| times_times(int,t,plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int))) = times_times(int,t,plus_plus(int,one_one(int),times_times(int,m,number_number_of(int,bit0(bit0(bit1(pls))))))) ),
inference(resolve,[$cnf( $equal(times_times(int,t,plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int))),times_times(int,t,plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int)))) )],[refute_0_21,refute_0_22]) ).
cnf(refute_0_24,plain,
times_times(int,t,plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int))) = times_times(int,t,plus_plus(int,one_one(int),times_times(int,m,number_number_of(int,bit0(bit0(bit1(pls))))))),
inference(resolve,[$cnf( $equal(plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int)),plus_plus(int,one_one(int),times_times(int,m,number_number_of(int,bit0(bit0(bit1(pls))))))) )],[refute_0_20,refute_0_23]) ).
cnf(refute_0_25,plain,
times_times(int,plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int)),t) = times_times(int,t,plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int))),
inference(subst,[],[refute_0_6:[bind(W,$fot(plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int)))),bind(Z,$fot(t))]]) ).
cnf(refute_0_26,plain,
( times_times(int,plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int)),t) != times_times(int,t,plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int)))
| times_times(int,t,plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int))) != times_times(int,t,plus_plus(int,one_one(int),times_times(int,m,number_number_of(int,bit0(bit0(bit1(pls)))))))
| times_times(int,plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int)),t) = times_times(int,t,plus_plus(int,one_one(int),times_times(int,m,number_number_of(int,bit0(bit0(bit1(pls))))))) ),
inference(subst,[],[refute_0_17:[bind(X,$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,$fot(times_times(int,t,plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int))))),bind(Z0,$fot(times_times(int,t,plus_plus(int,one_one(int),times_times(int,m,number_number_of(int,bit0(bit0(bit1(pls)))))))))]]) ).
cnf(refute_0_27,plain,
( times_times(int,t,plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int))) != times_times(int,t,plus_plus(int,one_one(int),times_times(int,m,number_number_of(int,bit0(bit0(bit1(pls)))))))
| 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,t,plus_plus(int,one_one(int),times_times(int,m,number_number_of(int,bit0(bit0(bit1(pls))))))) ),
inference(resolve,[$cnf( $equal(times_times(int,plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int)),t),times_times(int,t,plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int)))) )],[refute_0_25,refute_0_26]) ).
cnf(refute_0_28,plain,
times_times(int,plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int)),t) = times_times(int,t,plus_plus(int,one_one(int),times_times(int,m,number_number_of(int,bit0(bit0(bit1(pls))))))),
inference(resolve,[$cnf( $equal(times_times(int,t,plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int))),times_times(int,t,plus_plus(int,one_one(int),times_times(int,m,number_number_of(int,bit0(bit0(bit1(pls)))))))) )],[refute_0_24,refute_0_27]) ).
cnf(refute_0_29,plain,
( times_times(int,plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int)),t) != times_times(int,t,plus_plus(int,one_one(int),times_times(int,m,number_number_of(int,bit0(bit0(bit1(pls)))))))
| ~ ord_less(int,times_times(int,plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int)),t),times_times(int,plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int)),zero_zero(int)))
| ord_less(int,times_times(int,t,plus_plus(int,one_one(int),times_times(int,m,number_number_of(int,bit0(bit0(bit1(pls))))))),times_times(int,plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int)),zero_zero(int))) ),
introduced(tautology,[equality,[$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))) ),[1],$fot(times_times(int,t,plus_plus(int,one_one(int),times_times(int,m,number_number_of(int,bit0(bit0(bit1(pls))))))))]]) ).
cnf(refute_0_30,plain,
( ~ ord_less(int,times_times(int,plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int)),t),times_times(int,plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int)),zero_zero(int)))
| ord_less(int,times_times(int,t,plus_plus(int,one_one(int),times_times(int,m,number_number_of(int,bit0(bit0(bit1(pls))))))),times_times(int,plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int)),zero_zero(int))) ),
inference(resolve,[$cnf( $equal(times_times(int,plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int)),t),times_times(int,t,plus_plus(int,one_one(int),times_times(int,m,number_number_of(int,bit0(bit0(bit1(pls)))))))) )],[refute_0_28,refute_0_29]) ).
cnf(refute_0_31,plain,
times_times(int,pls,W) = pls,
inference(canonicalize,[],[normalize_0_6]) ).
cnf(refute_0_32,plain,
times_times(int,pls,plus_plus(int,one_one(int),times_times(int,m,number_number_of(int,bit0(bit0(bit1(pls))))))) = pls,
inference(subst,[],[refute_0_31:[bind(W,$fot(plus_plus(int,one_one(int),times_times(int,m,number_number_of(int,bit0(bit0(bit1(pls))))))))]]) ).
cnf(refute_0_33,plain,
times_times(int,pls,plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int))) = times_times(int,pls,plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int))),
introduced(tautology,[refl,[$fot(times_times(int,pls,plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int))))]]) ).
cnf(refute_0_34,plain,
( plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int)) != plus_plus(int,one_one(int),times_times(int,m,number_number_of(int,bit0(bit0(bit1(pls))))))
| times_times(int,pls,plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int))) != times_times(int,pls,plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int)))
| times_times(int,pls,plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int))) = times_times(int,pls,plus_plus(int,one_one(int),times_times(int,m,number_number_of(int,bit0(bit0(bit1(pls))))))) ),
introduced(tautology,[equality,[$cnf( $equal(times_times(int,pls,plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int))),times_times(int,pls,plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int)))) ),[1,2],$fot(plus_plus(int,one_one(int),times_times(int,m,number_number_of(int,bit0(bit0(bit1(pls)))))))]]) ).
cnf(refute_0_35,plain,
( plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int)) != plus_plus(int,one_one(int),times_times(int,m,number_number_of(int,bit0(bit0(bit1(pls))))))
| times_times(int,pls,plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int))) = times_times(int,pls,plus_plus(int,one_one(int),times_times(int,m,number_number_of(int,bit0(bit0(bit1(pls))))))) ),
inference(resolve,[$cnf( $equal(times_times(int,pls,plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int))),times_times(int,pls,plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int)))) )],[refute_0_33,refute_0_34]) ).
cnf(refute_0_36,plain,
times_times(int,pls,plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int))) = times_times(int,pls,plus_plus(int,one_one(int),times_times(int,m,number_number_of(int,bit0(bit0(bit1(pls))))))),
inference(resolve,[$cnf( $equal(plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int)),plus_plus(int,one_one(int),times_times(int,m,number_number_of(int,bit0(bit0(bit1(pls))))))) )],[refute_0_20,refute_0_35]) ).
cnf(refute_0_37,plain,
pls = zero_zero(int),
inference(canonicalize,[],[normalize_0_7]) ).
cnf(refute_0_38,plain,
( pls != zero_zero(int)
| zero_zero(int) = pls ),
inference(subst,[],[refute_0_4:[bind(X,$fot(pls)),bind(Y,$fot(zero_zero(int)))]]) ).
cnf(refute_0_39,plain,
zero_zero(int) = pls,
inference(resolve,[$cnf( $equal(pls,zero_zero(int)) )],[refute_0_37,refute_0_38]) ).
cnf(refute_0_40,plain,
times_times(int,zero_zero(int),plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int))) = times_times(int,zero_zero(int),plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int))),
introduced(tautology,[refl,[$fot(times_times(int,zero_zero(int),plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int))))]]) ).
cnf(refute_0_41,plain,
( times_times(int,zero_zero(int),plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int))) != times_times(int,zero_zero(int),plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int)))
| zero_zero(int) != pls
| times_times(int,zero_zero(int),plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int))) = times_times(int,pls,plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int))) ),
introduced(tautology,[equality,[$cnf( $equal(times_times(int,zero_zero(int),plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int))),times_times(int,zero_zero(int),plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int)))) ),[1,1],$fot(pls)]]) ).
cnf(refute_0_42,plain,
( zero_zero(int) != pls
| times_times(int,zero_zero(int),plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int))) = times_times(int,pls,plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int))) ),
inference(resolve,[$cnf( $equal(times_times(int,zero_zero(int),plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int))),times_times(int,zero_zero(int),plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int)))) )],[refute_0_40,refute_0_41]) ).
cnf(refute_0_43,plain,
times_times(int,zero_zero(int),plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int))) = times_times(int,pls,plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int))),
inference(resolve,[$cnf( $equal(zero_zero(int),pls) )],[refute_0_39,refute_0_42]) ).
cnf(refute_0_44,plain,
( times_times(int,pls,plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int))) != times_times(int,pls,plus_plus(int,one_one(int),times_times(int,m,number_number_of(int,bit0(bit0(bit1(pls)))))))
| times_times(int,zero_zero(int),plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int))) != times_times(int,pls,plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int)))
| times_times(int,zero_zero(int),plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int))) = times_times(int,pls,plus_plus(int,one_one(int),times_times(int,m,number_number_of(int,bit0(bit0(bit1(pls))))))) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(times_times(int,zero_zero(int),plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int))))),bind(Y,$fot(times_times(int,pls,plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int))))),bind(Z0,$fot(times_times(int,pls,plus_plus(int,one_one(int),times_times(int,m,number_number_of(int,bit0(bit0(bit1(pls)))))))))]]) ).
cnf(refute_0_45,plain,
( times_times(int,pls,plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int))) != times_times(int,pls,plus_plus(int,one_one(int),times_times(int,m,number_number_of(int,bit0(bit0(bit1(pls)))))))
| times_times(int,zero_zero(int),plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int))) = times_times(int,pls,plus_plus(int,one_one(int),times_times(int,m,number_number_of(int,bit0(bit0(bit1(pls))))))) ),
inference(resolve,[$cnf( $equal(times_times(int,zero_zero(int),plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int))),times_times(int,pls,plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int)))) )],[refute_0_43,refute_0_44]) ).
cnf(refute_0_46,plain,
times_times(int,zero_zero(int),plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int))) = times_times(int,pls,plus_plus(int,one_one(int),times_times(int,m,number_number_of(int,bit0(bit0(bit1(pls))))))),
inference(resolve,[$cnf( $equal(times_times(int,pls,plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int))),times_times(int,pls,plus_plus(int,one_one(int),times_times(int,m,number_number_of(int,bit0(bit0(bit1(pls)))))))) )],[refute_0_36,refute_0_45]) ).
cnf(refute_0_47,plain,
( times_times(int,pls,plus_plus(int,one_one(int),times_times(int,m,number_number_of(int,bit0(bit0(bit1(pls))))))) != pls
| times_times(int,zero_zero(int),plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int))) != times_times(int,pls,plus_plus(int,one_one(int),times_times(int,m,number_number_of(int,bit0(bit0(bit1(pls)))))))
| times_times(int,zero_zero(int),plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int))) = pls ),
inference(subst,[],[refute_0_17:[bind(X,$fot(times_times(int,zero_zero(int),plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int))))),bind(Y,$fot(times_times(int,pls,plus_plus(int,one_one(int),times_times(int,m,number_number_of(int,bit0(bit0(bit1(pls))))))))),bind(Z0,$fot(pls))]]) ).
cnf(refute_0_48,plain,
( times_times(int,pls,plus_plus(int,one_one(int),times_times(int,m,number_number_of(int,bit0(bit0(bit1(pls))))))) != pls
| times_times(int,zero_zero(int),plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int))) = pls ),
inference(resolve,[$cnf( $equal(times_times(int,zero_zero(int),plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int))),times_times(int,pls,plus_plus(int,one_one(int),times_times(int,m,number_number_of(int,bit0(bit0(bit1(pls)))))))) )],[refute_0_46,refute_0_47]) ).
cnf(refute_0_49,plain,
times_times(int,zero_zero(int),plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int))) = pls,
inference(resolve,[$cnf( $equal(times_times(int,pls,plus_plus(int,one_one(int),times_times(int,m,number_number_of(int,bit0(bit0(bit1(pls))))))),pls) )],[refute_0_32,refute_0_48]) ).
cnf(refute_0_50,plain,
times_times(int,plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int)),zero_zero(int)) = times_times(int,zero_zero(int),plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int))),
inference(subst,[],[refute_0_6:[bind(W,$fot(plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int)))),bind(Z,$fot(zero_zero(int)))]]) ).
cnf(refute_0_51,plain,
( times_times(int,plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int)),zero_zero(int)) != times_times(int,zero_zero(int),plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int)))
| times_times(int,zero_zero(int),plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int))) != pls
| times_times(int,plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int)),zero_zero(int)) = pls ),
inference(subst,[],[refute_0_17:[bind(X,$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,$fot(times_times(int,zero_zero(int),plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int))))),bind(Z0,$fot(pls))]]) ).
cnf(refute_0_52,plain,
( times_times(int,zero_zero(int),plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(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( $equal(times_times(int,plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int)),zero_zero(int)),times_times(int,zero_zero(int),plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int)))) )],[refute_0_50,refute_0_51]) ).
cnf(refute_0_53,plain,
times_times(int,plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int)),zero_zero(int)) = pls,
inference(resolve,[$cnf( $equal(times_times(int,zero_zero(int),plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int))),pls) )],[refute_0_49,refute_0_52]) ).
cnf(refute_0_54,plain,
( times_times(int,plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int)),zero_zero(int)) != pls
| ~ ord_less(int,times_times(int,t,plus_plus(int,one_one(int),times_times(int,m,number_number_of(int,bit0(bit0(bit1(pls))))))),times_times(int,plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int)),zero_zero(int)))
| ord_less(int,times_times(int,t,plus_plus(int,one_one(int),times_times(int,m,number_number_of(int,bit0(bit0(bit1(pls))))))),pls) ),
introduced(tautology,[equality,[$cnf( ord_less(int,times_times(int,t,plus_plus(int,one_one(int),times_times(int,m,number_number_of(int,bit0(bit0(bit1(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))) ),[2],$fot(pls)]]) ).
cnf(refute_0_55,plain,
( ~ ord_less(int,times_times(int,t,plus_plus(int,one_one(int),times_times(int,m,number_number_of(int,bit0(bit0(bit1(pls))))))),times_times(int,plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int)),zero_zero(int)))
| ord_less(int,times_times(int,t,plus_plus(int,one_one(int),times_times(int,m,number_number_of(int,bit0(bit0(bit1(pls))))))),pls) ),
inference(resolve,[$cnf( $equal(times_times(int,plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int)),zero_zero(int)),pls) )],[refute_0_53,refute_0_54]) ).
cnf(refute_0_56,plain,
( ~ ord_less(int,times_times(int,plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int)),t),times_times(int,plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int)),zero_zero(int)))
| ord_less(int,times_times(int,t,plus_plus(int,one_one(int),times_times(int,m,number_number_of(int,bit0(bit0(bit1(pls))))))),pls) ),
inference(resolve,[$cnf( ord_less(int,times_times(int,t,plus_plus(int,one_one(int),times_times(int,m,number_number_of(int,bit0(bit0(bit1(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))) )],[refute_0_30,refute_0_55]) ).
cnf(refute_0_57,plain,
ord_less(int,times_times(int,t,plus_plus(int,one_one(int),times_times(int,m,number_number_of(int,bit0(bit0(bit1(pls))))))),pls),
inference(resolve,[$cnf( ord_less(int,times_times(int,plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int)),t),times_times(int,plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int)),zero_zero(int))) )],[refute_0_0,refute_0_56]) ).
cnf(refute_0_58,plain,
plus_plus(int,power_power(int,s,number_number_of(nat,bit0(bit1(pls)))),one_one(int)) = times_times(int,plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int)),t),
inference(canonicalize,[],[normalize_0_8]) ).
cnf(refute_0_59,plain,
plus_plus(int,power_power(int,s,number_number_of(nat,bit0(bit1(pls)))),one_one(int)) = plus_plus(int,one_one(int),power_power(int,s,number_number_of(nat,bit0(bit1(pls))))),
inference(subst,[],[refute_0_14:[bind(W,$fot(power_power(int,s,number_number_of(nat,bit0(bit1(pls)))))),bind(Z,$fot(one_one(int)))]]) ).
cnf(refute_0_60,plain,
( plus_plus(int,power_power(int,s,number_number_of(nat,bit0(bit1(pls)))),one_one(int)) != plus_plus(int,one_one(int),power_power(int,s,number_number_of(nat,bit0(bit1(pls)))))
| plus_plus(int,power_power(int,s,number_number_of(nat,bit0(bit1(pls)))),one_one(int)) != times_times(int,plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int)),t)
| plus_plus(int,one_one(int),power_power(int,s,number_number_of(nat,bit0(bit1(pls))))) = times_times(int,plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int)),t) ),
introduced(tautology,[equality,[$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),power_power(int,s,number_number_of(nat,bit0(bit1(pls))))))]]) ).
cnf(refute_0_61,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),power_power(int,s,number_number_of(nat,bit0(bit1(pls))))) = 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( $equal(plus_plus(int,power_power(int,s,number_number_of(nat,bit0(bit1(pls)))),one_one(int)),plus_plus(int,one_one(int),power_power(int,s,number_number_of(nat,bit0(bit1(pls)))))) )],[refute_0_59,refute_0_60]) ).
cnf(refute_0_62,plain,
ti(int,bit0(B_1_1)) = bit0(B_1_1),
inference(canonicalize,[],[normalize_0_10]) ).
cnf(refute_0_63,plain,
number_number_of(int,K) = ti(int,K),
inference(canonicalize,[],[normalize_0_12]) ).
cnf(refute_0_64,plain,
( number_number_of(int,K) != ti(int,K)
| ti(int,K) = number_number_of(int,K) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(number_number_of(int,K))),bind(Y,$fot(ti(int,K)))]]) ).
cnf(refute_0_65,plain,
ti(int,K) = number_number_of(int,K),
inference(resolve,[$cnf( $equal(number_number_of(int,K),ti(int,K)) )],[refute_0_63,refute_0_64]) ).
cnf(refute_0_66,plain,
ti(int,bit0(B_1_1)) = number_number_of(int,bit0(B_1_1)),
inference(subst,[],[refute_0_65:[bind(K,$fot(bit0(B_1_1)))]]) ).
cnf(refute_0_67,plain,
( ti(int,bit0(B_1_1)) != bit0(B_1_1)
| ti(int,bit0(B_1_1)) != number_number_of(int,bit0(B_1_1))
| number_number_of(int,bit0(B_1_1)) = bit0(B_1_1) ),
introduced(tautology,[equality,[$cnf( $equal(ti(int,bit0(B_1_1)),bit0(B_1_1)) ),[0],$fot(number_number_of(int,bit0(B_1_1)))]]) ).
cnf(refute_0_68,plain,
( ti(int,bit0(B_1_1)) != bit0(B_1_1)
| number_number_of(int,bit0(B_1_1)) = bit0(B_1_1) ),
inference(resolve,[$cnf( $equal(ti(int,bit0(B_1_1)),number_number_of(int,bit0(B_1_1))) )],[refute_0_66,refute_0_67]) ).
cnf(refute_0_69,plain,
number_number_of(int,bit0(B_1_1)) = bit0(B_1_1),
inference(resolve,[$cnf( $equal(ti(int,bit0(B_1_1)),bit0(B_1_1)) )],[refute_0_62,refute_0_68]) ).
cnf(refute_0_70,plain,
number_number_of(int,bit0(bit0(bit1(pls)))) = bit0(bit0(bit1(pls))),
inference(subst,[],[refute_0_69:[bind(B_1_1,$fot(bit0(bit1(pls))))]]) ).
cnf(refute_0_71,plain,
times_times(int,m,number_number_of(int,bit0(bit0(bit1(pls))))) = times_times(int,m,number_number_of(int,bit0(bit0(bit1(pls))))),
introduced(tautology,[refl,[$fot(times_times(int,m,number_number_of(int,bit0(bit0(bit1(pls))))))]]) ).
cnf(refute_0_72,plain,
( number_number_of(int,bit0(bit0(bit1(pls)))) != bit0(bit0(bit1(pls)))
| times_times(int,m,number_number_of(int,bit0(bit0(bit1(pls))))) != times_times(int,m,number_number_of(int,bit0(bit0(bit1(pls)))))
| times_times(int,m,number_number_of(int,bit0(bit0(bit1(pls))))) = times_times(int,m,bit0(bit0(bit1(pls)))) ),
introduced(tautology,[equality,[$cnf( $equal(times_times(int,m,number_number_of(int,bit0(bit0(bit1(pls))))),times_times(int,m,number_number_of(int,bit0(bit0(bit1(pls)))))) ),[1,2],$fot(bit0(bit0(bit1(pls))))]]) ).
cnf(refute_0_73,plain,
( number_number_of(int,bit0(bit0(bit1(pls)))) != bit0(bit0(bit1(pls)))
| times_times(int,m,number_number_of(int,bit0(bit0(bit1(pls))))) = times_times(int,m,bit0(bit0(bit1(pls)))) ),
inference(resolve,[$cnf( $equal(times_times(int,m,number_number_of(int,bit0(bit0(bit1(pls))))),times_times(int,m,number_number_of(int,bit0(bit0(bit1(pls)))))) )],[refute_0_71,refute_0_72]) ).
cnf(refute_0_74,plain,
times_times(int,m,number_number_of(int,bit0(bit0(bit1(pls))))) = times_times(int,m,bit0(bit0(bit1(pls)))),
inference(resolve,[$cnf( $equal(number_number_of(int,bit0(bit0(bit1(pls)))),bit0(bit0(bit1(pls)))) )],[refute_0_70,refute_0_73]) ).
cnf(refute_0_75,plain,
( times_times(int,m,number_number_of(int,bit0(bit0(bit1(pls))))) != times_times(int,m,bit0(bit0(bit1(pls))))
| times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m) != times_times(int,m,number_number_of(int,bit0(bit0(bit1(pls)))))
| times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m) = times_times(int,m,bit0(bit0(bit1(pls)))) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m))),bind(Y,$fot(times_times(int,m,number_number_of(int,bit0(bit0(bit1(pls))))))),bind(Z0,$fot(times_times(int,m,bit0(bit0(bit1(pls))))))]]) ).
cnf(refute_0_76,plain,
( times_times(int,m,number_number_of(int,bit0(bit0(bit1(pls))))) != times_times(int,m,bit0(bit0(bit1(pls))))
| times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m) = times_times(int,m,bit0(bit0(bit1(pls)))) ),
inference(resolve,[$cnf( $equal(times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),times_times(int,m,number_number_of(int,bit0(bit0(bit1(pls)))))) )],[refute_0_7,refute_0_75]) ).
cnf(refute_0_77,plain,
times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m) = times_times(int,m,bit0(bit0(bit1(pls)))),
inference(resolve,[$cnf( $equal(times_times(int,m,number_number_of(int,bit0(bit0(bit1(pls))))),times_times(int,m,bit0(bit0(bit1(pls))))) )],[refute_0_74,refute_0_76]) ).
cnf(refute_0_78,plain,
( plus_plus(int,one_one(int),times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m)) != plus_plus(int,one_one(int),times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m))
| times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m) != times_times(int,m,bit0(bit0(bit1(pls))))
| plus_plus(int,one_one(int),times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m)) = plus_plus(int,one_one(int),times_times(int,m,bit0(bit0(bit1(pls))))) ),
introduced(tautology,[equality,[$cnf( $equal(plus_plus(int,one_one(int),times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m)),plus_plus(int,one_one(int),times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m))) ),[1,2],$fot(times_times(int,m,bit0(bit0(bit1(pls)))))]]) ).
cnf(refute_0_79,plain,
( times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m) != times_times(int,m,bit0(bit0(bit1(pls))))
| plus_plus(int,one_one(int),times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m)) = plus_plus(int,one_one(int),times_times(int,m,bit0(bit0(bit1(pls))))) ),
inference(resolve,[$cnf( $equal(plus_plus(int,one_one(int),times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m)),plus_plus(int,one_one(int),times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m))) )],[refute_0_8,refute_0_78]) ).
cnf(refute_0_80,plain,
plus_plus(int,one_one(int),times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m)) = plus_plus(int,one_one(int),times_times(int,m,bit0(bit0(bit1(pls))))),
inference(resolve,[$cnf( $equal(times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),times_times(int,m,bit0(bit0(bit1(pls))))) )],[refute_0_77,refute_0_79]) ).
cnf(refute_0_81,plain,
( plus_plus(int,one_one(int),times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m)) != plus_plus(int,one_one(int),times_times(int,m,bit0(bit0(bit1(pls)))))
| plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int)) != plus_plus(int,one_one(int),times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m))
| plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int)) = plus_plus(int,one_one(int),times_times(int,m,bit0(bit0(bit1(pls))))) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int)))),bind(Y,$fot(plus_plus(int,one_one(int),times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m)))),bind(Z0,$fot(plus_plus(int,one_one(int),times_times(int,m,bit0(bit0(bit1(pls)))))))]]) ).
cnf(refute_0_82,plain,
( plus_plus(int,one_one(int),times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m)) != plus_plus(int,one_one(int),times_times(int,m,bit0(bit0(bit1(pls)))))
| plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int)) = plus_plus(int,one_one(int),times_times(int,m,bit0(bit0(bit1(pls))))) ),
inference(resolve,[$cnf( $equal(plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int)),plus_plus(int,one_one(int),times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m))) )],[refute_0_15,refute_0_81]) ).
cnf(refute_0_83,plain,
plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int)) = plus_plus(int,one_one(int),times_times(int,m,bit0(bit0(bit1(pls))))),
inference(resolve,[$cnf( $equal(plus_plus(int,one_one(int),times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m)),plus_plus(int,one_one(int),times_times(int,m,bit0(bit0(bit1(pls)))))) )],[refute_0_80,refute_0_82]) ).
cnf(refute_0_84,plain,
( plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int)) != plus_plus(int,one_one(int),times_times(int,m,bit0(bit0(bit1(pls)))))
| times_times(int,t,plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int))) != times_times(int,t,plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int)))
| times_times(int,t,plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int))) = times_times(int,t,plus_plus(int,one_one(int),times_times(int,m,bit0(bit0(bit1(pls)))))) ),
introduced(tautology,[equality,[$cnf( $equal(times_times(int,t,plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int))),times_times(int,t,plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int)))) ),[1,2],$fot(plus_plus(int,one_one(int),times_times(int,m,bit0(bit0(bit1(pls))))))]]) ).
cnf(refute_0_85,plain,
( plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int)) != plus_plus(int,one_one(int),times_times(int,m,bit0(bit0(bit1(pls)))))
| times_times(int,t,plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int))) = times_times(int,t,plus_plus(int,one_one(int),times_times(int,m,bit0(bit0(bit1(pls)))))) ),
inference(resolve,[$cnf( $equal(times_times(int,t,plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int))),times_times(int,t,plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int)))) )],[refute_0_21,refute_0_84]) ).
cnf(refute_0_86,plain,
times_times(int,t,plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int))) = times_times(int,t,plus_plus(int,one_one(int),times_times(int,m,bit0(bit0(bit1(pls)))))),
inference(resolve,[$cnf( $equal(plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int)),plus_plus(int,one_one(int),times_times(int,m,bit0(bit0(bit1(pls)))))) )],[refute_0_83,refute_0_85]) ).
cnf(refute_0_87,plain,
( times_times(int,plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int)),t) != times_times(int,t,plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int)))
| times_times(int,t,plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int))) != times_times(int,t,plus_plus(int,one_one(int),times_times(int,m,bit0(bit0(bit1(pls))))))
| times_times(int,plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int)),t) = times_times(int,t,plus_plus(int,one_one(int),times_times(int,m,bit0(bit0(bit1(pls)))))) ),
inference(subst,[],[refute_0_17:[bind(X,$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,$fot(times_times(int,t,plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int))))),bind(Z0,$fot(times_times(int,t,plus_plus(int,one_one(int),times_times(int,m,bit0(bit0(bit1(pls))))))))]]) ).
cnf(refute_0_88,plain,
( times_times(int,t,plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int))) != times_times(int,t,plus_plus(int,one_one(int),times_times(int,m,bit0(bit0(bit1(pls))))))
| 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,t,plus_plus(int,one_one(int),times_times(int,m,bit0(bit0(bit1(pls)))))) ),
inference(resolve,[$cnf( $equal(times_times(int,plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int)),t),times_times(int,t,plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int)))) )],[refute_0_25,refute_0_87]) ).
cnf(refute_0_89,plain,
times_times(int,plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int)),t) = times_times(int,t,plus_plus(int,one_one(int),times_times(int,m,bit0(bit0(bit1(pls)))))),
inference(resolve,[$cnf( $equal(times_times(int,t,plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int))),times_times(int,t,plus_plus(int,one_one(int),times_times(int,m,bit0(bit0(bit1(pls))))))) )],[refute_0_86,refute_0_88]) ).
cnf(refute_0_90,plain,
( plus_plus(int,one_one(int),power_power(int,s,number_number_of(nat,bit0(bit1(pls))))) != times_times(int,plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int)),t)
| times_times(int,plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int)),t) != times_times(int,t,plus_plus(int,one_one(int),times_times(int,m,bit0(bit0(bit1(pls))))))
| plus_plus(int,one_one(int),power_power(int,s,number_number_of(nat,bit0(bit1(pls))))) = times_times(int,t,plus_plus(int,one_one(int),times_times(int,m,bit0(bit0(bit1(pls)))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(plus_plus(int,one_one(int),power_power(int,s,number_number_of(nat,bit0(bit1(pls))))),times_times(int,t,plus_plus(int,one_one(int),times_times(int,m,bit0(bit0(bit1(pls))))))) ),[0],$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_91,plain,
( plus_plus(int,one_one(int),power_power(int,s,number_number_of(nat,bit0(bit1(pls))))) != 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),power_power(int,s,number_number_of(nat,bit0(bit1(pls))))) = times_times(int,t,plus_plus(int,one_one(int),times_times(int,m,bit0(bit0(bit1(pls)))))) ),
inference(resolve,[$cnf( $equal(times_times(int,plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int)),t),times_times(int,t,plus_plus(int,one_one(int),times_times(int,m,bit0(bit0(bit1(pls))))))) )],[refute_0_89,refute_0_90]) ).
cnf(refute_0_92,plain,
( plus_plus(int,power_power(int,s,number_number_of(nat,bit0(bit1(pls)))),one_one(int)) != times_times(int,plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int)),t)
| plus_plus(int,one_one(int),power_power(int,s,number_number_of(nat,bit0(bit1(pls))))) = times_times(int,t,plus_plus(int,one_one(int),times_times(int,m,bit0(bit0(bit1(pls)))))) ),
inference(resolve,[$cnf( $equal(plus_plus(int,one_one(int),power_power(int,s,number_number_of(nat,bit0(bit1(pls))))),times_times(int,plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int)),t)) )],[refute_0_61,refute_0_91]) ).
cnf(refute_0_93,plain,
plus_plus(int,one_one(int),power_power(int,s,number_number_of(nat,bit0(bit1(pls))))) = times_times(int,t,plus_plus(int,one_one(int),times_times(int,m,bit0(bit0(bit1(pls)))))),
inference(resolve,[$cnf( $equal(plus_plus(int,power_power(int,s,number_number_of(nat,bit0(bit1(pls)))),one_one(int)),times_times(int,plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int)),t)) )],[refute_0_58,refute_0_92]) ).
cnf(refute_0_94,plain,
one_one(int) = number_number_of(int,bit1(pls)),
inference(canonicalize,[],[normalize_0_13]) ).
cnf(refute_0_95,plain,
ti(int,bit1(B_1_1)) = bit1(B_1_1),
inference(canonicalize,[],[normalize_0_15]) ).
cnf(refute_0_96,plain,
ti(int,bit1(B_1_1)) = number_number_of(int,bit1(B_1_1)),
inference(subst,[],[refute_0_65:[bind(K,$fot(bit1(B_1_1)))]]) ).
cnf(refute_0_97,plain,
( ti(int,bit1(B_1_1)) != bit1(B_1_1)
| ti(int,bit1(B_1_1)) != number_number_of(int,bit1(B_1_1))
| number_number_of(int,bit1(B_1_1)) = bit1(B_1_1) ),
introduced(tautology,[equality,[$cnf( $equal(ti(int,bit1(B_1_1)),bit1(B_1_1)) ),[0],$fot(number_number_of(int,bit1(B_1_1)))]]) ).
cnf(refute_0_98,plain,
( ti(int,bit1(B_1_1)) != bit1(B_1_1)
| number_number_of(int,bit1(B_1_1)) = bit1(B_1_1) ),
inference(resolve,[$cnf( $equal(ti(int,bit1(B_1_1)),number_number_of(int,bit1(B_1_1))) )],[refute_0_96,refute_0_97]) ).
cnf(refute_0_99,plain,
number_number_of(int,bit1(B_1_1)) = bit1(B_1_1),
inference(resolve,[$cnf( $equal(ti(int,bit1(B_1_1)),bit1(B_1_1)) )],[refute_0_95,refute_0_98]) ).
cnf(refute_0_100,plain,
number_number_of(int,bit1(pls)) = bit1(pls),
inference(subst,[],[refute_0_99:[bind(B_1_1,$fot(pls))]]) ).
cnf(refute_0_101,plain,
( number_number_of(int,bit1(pls)) != bit1(pls)
| one_one(int) != number_number_of(int,bit1(pls))
| one_one(int) = bit1(pls) ),
introduced(tautology,[equality,[$cnf( $equal(one_one(int),number_number_of(int,bit1(pls))) ),[1],$fot(bit1(pls))]]) ).
cnf(refute_0_102,plain,
( one_one(int) != number_number_of(int,bit1(pls))
| one_one(int) = bit1(pls) ),
inference(resolve,[$cnf( $equal(number_number_of(int,bit1(pls)),bit1(pls)) )],[refute_0_100,refute_0_101]) ).
cnf(refute_0_103,plain,
one_one(int) = bit1(pls),
inference(resolve,[$cnf( $equal(one_one(int),number_number_of(int,bit1(pls))) )],[refute_0_94,refute_0_102]) ).
cnf(refute_0_104,plain,
plus_plus(int,one_one(int),power_power(int,s,number_number_of(nat,bit0(bit1(pls))))) = plus_plus(int,one_one(int),power_power(int,s,number_number_of(nat,bit0(bit1(pls))))),
introduced(tautology,[refl,[$fot(plus_plus(int,one_one(int),power_power(int,s,number_number_of(nat,bit0(bit1(pls))))))]]) ).
cnf(refute_0_105,plain,
( one_one(int) != bit1(pls)
| 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)))))
| plus_plus(int,one_one(int),power_power(int,s,number_number_of(nat,bit0(bit1(pls))))) = plus_plus(int,bit1(pls),power_power(int,s,number_number_of(nat,bit0(bit1(pls))))) ),
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(bit1(pls))]]) ).
cnf(refute_0_106,plain,
( one_one(int) != bit1(pls)
| plus_plus(int,one_one(int),power_power(int,s,number_number_of(nat,bit0(bit1(pls))))) = plus_plus(int,bit1(pls),power_power(int,s,number_number_of(nat,bit0(bit1(pls))))) ),
inference(resolve,[$cnf( $equal(plus_plus(int,one_one(int),power_power(int,s,number_number_of(nat,bit0(bit1(pls))))),plus_plus(int,one_one(int),power_power(int,s,number_number_of(nat,bit0(bit1(pls)))))) )],[refute_0_104,refute_0_105]) ).
cnf(refute_0_107,plain,
plus_plus(int,one_one(int),power_power(int,s,number_number_of(nat,bit0(bit1(pls))))) = plus_plus(int,bit1(pls),power_power(int,s,number_number_of(nat,bit0(bit1(pls))))),
inference(resolve,[$cnf( $equal(one_one(int),bit1(pls)) )],[refute_0_103,refute_0_106]) ).
cnf(refute_0_108,plain,
( plus_plus(int,one_one(int),power_power(int,s,number_number_of(nat,bit0(bit1(pls))))) != plus_plus(int,bit1(pls),power_power(int,s,number_number_of(nat,bit0(bit1(pls)))))
| plus_plus(int,one_one(int),power_power(int,s,number_number_of(nat,bit0(bit1(pls))))) != times_times(int,t,plus_plus(int,one_one(int),times_times(int,m,bit0(bit0(bit1(pls))))))
| plus_plus(int,bit1(pls),power_power(int,s,number_number_of(nat,bit0(bit1(pls))))) = times_times(int,t,plus_plus(int,one_one(int),times_times(int,m,bit0(bit0(bit1(pls)))))) ),
introduced(tautology,[equality,[$cnf( $equal(plus_plus(int,one_one(int),power_power(int,s,number_number_of(nat,bit0(bit1(pls))))),times_times(int,t,plus_plus(int,one_one(int),times_times(int,m,bit0(bit0(bit1(pls))))))) ),[0],$fot(plus_plus(int,bit1(pls),power_power(int,s,number_number_of(nat,bit0(bit1(pls))))))]]) ).
cnf(refute_0_109,plain,
( plus_plus(int,one_one(int),power_power(int,s,number_number_of(nat,bit0(bit1(pls))))) != times_times(int,t,plus_plus(int,one_one(int),times_times(int,m,bit0(bit0(bit1(pls))))))
| plus_plus(int,bit1(pls),power_power(int,s,number_number_of(nat,bit0(bit1(pls))))) = times_times(int,t,plus_plus(int,one_one(int),times_times(int,m,bit0(bit0(bit1(pls)))))) ),
inference(resolve,[$cnf( $equal(plus_plus(int,one_one(int),power_power(int,s,number_number_of(nat,bit0(bit1(pls))))),plus_plus(int,bit1(pls),power_power(int,s,number_number_of(nat,bit0(bit1(pls)))))) )],[refute_0_107,refute_0_108]) ).
cnf(refute_0_110,plain,
plus_plus(int,one_one(int),times_times(int,m,bit0(bit0(bit1(pls))))) = plus_plus(int,one_one(int),times_times(int,m,bit0(bit0(bit1(pls))))),
introduced(tautology,[refl,[$fot(plus_plus(int,one_one(int),times_times(int,m,bit0(bit0(bit1(pls))))))]]) ).
cnf(refute_0_111,plain,
( one_one(int) != bit1(pls)
| plus_plus(int,one_one(int),times_times(int,m,bit0(bit0(bit1(pls))))) != plus_plus(int,one_one(int),times_times(int,m,bit0(bit0(bit1(pls)))))
| plus_plus(int,one_one(int),times_times(int,m,bit0(bit0(bit1(pls))))) = plus_plus(int,bit1(pls),times_times(int,m,bit0(bit0(bit1(pls))))) ),
introduced(tautology,[equality,[$cnf( $equal(plus_plus(int,one_one(int),times_times(int,m,bit0(bit0(bit1(pls))))),plus_plus(int,one_one(int),times_times(int,m,bit0(bit0(bit1(pls)))))) ),[1,1],$fot(bit1(pls))]]) ).
cnf(refute_0_112,plain,
( one_one(int) != bit1(pls)
| plus_plus(int,one_one(int),times_times(int,m,bit0(bit0(bit1(pls))))) = plus_plus(int,bit1(pls),times_times(int,m,bit0(bit0(bit1(pls))))) ),
inference(resolve,[$cnf( $equal(plus_plus(int,one_one(int),times_times(int,m,bit0(bit0(bit1(pls))))),plus_plus(int,one_one(int),times_times(int,m,bit0(bit0(bit1(pls)))))) )],[refute_0_110,refute_0_111]) ).
cnf(refute_0_113,plain,
plus_plus(int,one_one(int),times_times(int,m,bit0(bit0(bit1(pls))))) = plus_plus(int,bit1(pls),times_times(int,m,bit0(bit0(bit1(pls))))),
inference(resolve,[$cnf( $equal(one_one(int),bit1(pls)) )],[refute_0_103,refute_0_112]) ).
cnf(refute_0_114,plain,
times_times(int,t,plus_plus(int,one_one(int),times_times(int,m,bit0(bit0(bit1(pls)))))) = times_times(int,t,plus_plus(int,one_one(int),times_times(int,m,bit0(bit0(bit1(pls)))))),
introduced(tautology,[refl,[$fot(times_times(int,t,plus_plus(int,one_one(int),times_times(int,m,bit0(bit0(bit1(pls)))))))]]) ).
cnf(refute_0_115,plain,
( plus_plus(int,one_one(int),times_times(int,m,bit0(bit0(bit1(pls))))) != plus_plus(int,bit1(pls),times_times(int,m,bit0(bit0(bit1(pls)))))
| times_times(int,t,plus_plus(int,one_one(int),times_times(int,m,bit0(bit0(bit1(pls)))))) != times_times(int,t,plus_plus(int,one_one(int),times_times(int,m,bit0(bit0(bit1(pls))))))
| times_times(int,t,plus_plus(int,one_one(int),times_times(int,m,bit0(bit0(bit1(pls)))))) = times_times(int,t,plus_plus(int,bit1(pls),times_times(int,m,bit0(bit0(bit1(pls)))))) ),
introduced(tautology,[equality,[$cnf( $equal(times_times(int,t,plus_plus(int,one_one(int),times_times(int,m,bit0(bit0(bit1(pls)))))),times_times(int,t,plus_plus(int,one_one(int),times_times(int,m,bit0(bit0(bit1(pls))))))) ),[1,2],$fot(plus_plus(int,bit1(pls),times_times(int,m,bit0(bit0(bit1(pls))))))]]) ).
cnf(refute_0_116,plain,
( plus_plus(int,one_one(int),times_times(int,m,bit0(bit0(bit1(pls))))) != plus_plus(int,bit1(pls),times_times(int,m,bit0(bit0(bit1(pls)))))
| times_times(int,t,plus_plus(int,one_one(int),times_times(int,m,bit0(bit0(bit1(pls)))))) = times_times(int,t,plus_plus(int,bit1(pls),times_times(int,m,bit0(bit0(bit1(pls)))))) ),
inference(resolve,[$cnf( $equal(times_times(int,t,plus_plus(int,one_one(int),times_times(int,m,bit0(bit0(bit1(pls)))))),times_times(int,t,plus_plus(int,one_one(int),times_times(int,m,bit0(bit0(bit1(pls))))))) )],[refute_0_114,refute_0_115]) ).
cnf(refute_0_117,plain,
times_times(int,t,plus_plus(int,one_one(int),times_times(int,m,bit0(bit0(bit1(pls)))))) = times_times(int,t,plus_plus(int,bit1(pls),times_times(int,m,bit0(bit0(bit1(pls)))))),
inference(resolve,[$cnf( $equal(plus_plus(int,one_one(int),times_times(int,m,bit0(bit0(bit1(pls))))),plus_plus(int,bit1(pls),times_times(int,m,bit0(bit0(bit1(pls)))))) )],[refute_0_113,refute_0_116]) ).
cnf(refute_0_118,plain,
( plus_plus(int,bit1(pls),power_power(int,s,number_number_of(nat,bit0(bit1(pls))))) != times_times(int,t,plus_plus(int,one_one(int),times_times(int,m,bit0(bit0(bit1(pls))))))
| times_times(int,t,plus_plus(int,one_one(int),times_times(int,m,bit0(bit0(bit1(pls)))))) != times_times(int,t,plus_plus(int,bit1(pls),times_times(int,m,bit0(bit0(bit1(pls))))))
| plus_plus(int,bit1(pls),power_power(int,s,number_number_of(nat,bit0(bit1(pls))))) = times_times(int,t,plus_plus(int,bit1(pls),times_times(int,m,bit0(bit0(bit1(pls)))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(plus_plus(int,bit1(pls),power_power(int,s,number_number_of(nat,bit0(bit1(pls))))),times_times(int,t,plus_plus(int,bit1(pls),times_times(int,m,bit0(bit0(bit1(pls))))))) ),[0],$fot(times_times(int,t,plus_plus(int,one_one(int),times_times(int,m,bit0(bit0(bit1(pls)))))))]]) ).
cnf(refute_0_119,plain,
( plus_plus(int,bit1(pls),power_power(int,s,number_number_of(nat,bit0(bit1(pls))))) != times_times(int,t,plus_plus(int,one_one(int),times_times(int,m,bit0(bit0(bit1(pls))))))
| plus_plus(int,bit1(pls),power_power(int,s,number_number_of(nat,bit0(bit1(pls))))) = times_times(int,t,plus_plus(int,bit1(pls),times_times(int,m,bit0(bit0(bit1(pls)))))) ),
inference(resolve,[$cnf( $equal(times_times(int,t,plus_plus(int,one_one(int),times_times(int,m,bit0(bit0(bit1(pls)))))),times_times(int,t,plus_plus(int,bit1(pls),times_times(int,m,bit0(bit0(bit1(pls))))))) )],[refute_0_117,refute_0_118]) ).
cnf(refute_0_120,plain,
( plus_plus(int,one_one(int),power_power(int,s,number_number_of(nat,bit0(bit1(pls))))) != times_times(int,t,plus_plus(int,one_one(int),times_times(int,m,bit0(bit0(bit1(pls))))))
| plus_plus(int,bit1(pls),power_power(int,s,number_number_of(nat,bit0(bit1(pls))))) = times_times(int,t,plus_plus(int,bit1(pls),times_times(int,m,bit0(bit0(bit1(pls)))))) ),
inference(resolve,[$cnf( $equal(plus_plus(int,bit1(pls),power_power(int,s,number_number_of(nat,bit0(bit1(pls))))),times_times(int,t,plus_plus(int,one_one(int),times_times(int,m,bit0(bit0(bit1(pls))))))) )],[refute_0_109,refute_0_119]) ).
cnf(refute_0_121,plain,
plus_plus(int,bit1(pls),power_power(int,s,number_number_of(nat,bit0(bit1(pls))))) = times_times(int,t,plus_plus(int,bit1(pls),times_times(int,m,bit0(bit0(bit1(pls)))))),
inference(resolve,[$cnf( $equal(plus_plus(int,one_one(int),power_power(int,s,number_number_of(nat,bit0(bit1(pls))))),times_times(int,t,plus_plus(int,one_one(int),times_times(int,m,bit0(bit0(bit1(pls))))))) )],[refute_0_93,refute_0_120]) ).
cnf(refute_0_122,plain,
minus_minus(int,power_power(int,s,number_number_of(nat,bit0(bit1(pls)))),number_number_of(int,min)) = plus_plus(int,power_power(int,s,number_number_of(nat,bit0(bit1(pls)))),one_one(int)),
inference(canonicalize,[],[normalize_0_16]) ).
cnf(refute_0_123,plain,
( minus_minus(int,power_power(int,s,number_number_of(nat,bit0(bit1(pls)))),number_number_of(int,min)) != plus_plus(int,power_power(int,s,number_number_of(nat,bit0(bit1(pls)))),one_one(int))
| plus_plus(int,power_power(int,s,number_number_of(nat,bit0(bit1(pls)))),one_one(int)) != plus_plus(int,one_one(int),power_power(int,s,number_number_of(nat,bit0(bit1(pls)))))
| minus_minus(int,power_power(int,s,number_number_of(nat,bit0(bit1(pls)))),number_number_of(int,min)) = plus_plus(int,one_one(int),power_power(int,s,number_number_of(nat,bit0(bit1(pls))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(minus_minus(int,power_power(int,s,number_number_of(nat,bit0(bit1(pls)))),number_number_of(int,min)),plus_plus(int,one_one(int),power_power(int,s,number_number_of(nat,bit0(bit1(pls)))))) ),[0],$fot(plus_plus(int,power_power(int,s,number_number_of(nat,bit0(bit1(pls)))),one_one(int)))]]) ).
cnf(refute_0_124,plain,
( minus_minus(int,power_power(int,s,number_number_of(nat,bit0(bit1(pls)))),number_number_of(int,min)) != plus_plus(int,power_power(int,s,number_number_of(nat,bit0(bit1(pls)))),one_one(int))
| minus_minus(int,power_power(int,s,number_number_of(nat,bit0(bit1(pls)))),number_number_of(int,min)) = plus_plus(int,one_one(int),power_power(int,s,number_number_of(nat,bit0(bit1(pls))))) ),
inference(resolve,[$cnf( $equal(plus_plus(int,power_power(int,s,number_number_of(nat,bit0(bit1(pls)))),one_one(int)),plus_plus(int,one_one(int),power_power(int,s,number_number_of(nat,bit0(bit1(pls)))))) )],[refute_0_59,refute_0_123]) ).
cnf(refute_0_125,plain,
minus_minus(int,power_power(int,s,number_number_of(nat,bit0(bit1(pls)))),number_number_of(int,min)) = plus_plus(int,one_one(int),power_power(int,s,number_number_of(nat,bit0(bit1(pls))))),
inference(resolve,[$cnf( $equal(minus_minus(int,power_power(int,s,number_number_of(nat,bit0(bit1(pls)))),number_number_of(int,min)),plus_plus(int,power_power(int,s,number_number_of(nat,bit0(bit1(pls)))),one_one(int))) )],[refute_0_122,refute_0_124]) ).
cnf(refute_0_126,plain,
ti(int,min) = min,
inference(canonicalize,[],[normalize_0_17]) ).
cnf(refute_0_127,plain,
ti(int,min) = number_number_of(int,min),
inference(subst,[],[refute_0_65:[bind(K,$fot(min))]]) ).
cnf(refute_0_128,plain,
( ti(int,min) != min
| ti(int,min) != number_number_of(int,min)
| number_number_of(int,min) = min ),
introduced(tautology,[equality,[$cnf( $equal(ti(int,min),min) ),[0],$fot(number_number_of(int,min))]]) ).
cnf(refute_0_129,plain,
( ti(int,min) != min
| number_number_of(int,min) = min ),
inference(resolve,[$cnf( $equal(ti(int,min),number_number_of(int,min)) )],[refute_0_127,refute_0_128]) ).
cnf(refute_0_130,plain,
number_number_of(int,min) = min,
inference(resolve,[$cnf( $equal(ti(int,min),min) )],[refute_0_126,refute_0_129]) ).
cnf(refute_0_131,plain,
minus_minus(int,power_power(int,s,number_number_of(nat,bit0(bit1(pls)))),number_number_of(int,min)) = minus_minus(int,power_power(int,s,number_number_of(nat,bit0(bit1(pls)))),number_number_of(int,min)),
introduced(tautology,[refl,[$fot(minus_minus(int,power_power(int,s,number_number_of(nat,bit0(bit1(pls)))),number_number_of(int,min)))]]) ).
cnf(refute_0_132,plain,
( minus_minus(int,power_power(int,s,number_number_of(nat,bit0(bit1(pls)))),number_number_of(int,min)) != minus_minus(int,power_power(int,s,number_number_of(nat,bit0(bit1(pls)))),number_number_of(int,min))
| number_number_of(int,min) != min
| minus_minus(int,power_power(int,s,number_number_of(nat,bit0(bit1(pls)))),number_number_of(int,min)) = minus_minus(int,power_power(int,s,number_number_of(nat,bit0(bit1(pls)))),min) ),
introduced(tautology,[equality,[$cnf( $equal(minus_minus(int,power_power(int,s,number_number_of(nat,bit0(bit1(pls)))),number_number_of(int,min)),minus_minus(int,power_power(int,s,number_number_of(nat,bit0(bit1(pls)))),number_number_of(int,min))) ),[1,2],$fot(min)]]) ).
cnf(refute_0_133,plain,
( number_number_of(int,min) != min
| minus_minus(int,power_power(int,s,number_number_of(nat,bit0(bit1(pls)))),number_number_of(int,min)) = minus_minus(int,power_power(int,s,number_number_of(nat,bit0(bit1(pls)))),min) ),
inference(resolve,[$cnf( $equal(minus_minus(int,power_power(int,s,number_number_of(nat,bit0(bit1(pls)))),number_number_of(int,min)),minus_minus(int,power_power(int,s,number_number_of(nat,bit0(bit1(pls)))),number_number_of(int,min))) )],[refute_0_131,refute_0_132]) ).
cnf(refute_0_134,plain,
minus_minus(int,power_power(int,s,number_number_of(nat,bit0(bit1(pls)))),number_number_of(int,min)) = minus_minus(int,power_power(int,s,number_number_of(nat,bit0(bit1(pls)))),min),
inference(resolve,[$cnf( $equal(number_number_of(int,min),min) )],[refute_0_130,refute_0_133]) ).
cnf(refute_0_135,plain,
( minus_minus(int,power_power(int,s,number_number_of(nat,bit0(bit1(pls)))),number_number_of(int,min)) != minus_minus(int,power_power(int,s,number_number_of(nat,bit0(bit1(pls)))),min)
| minus_minus(int,power_power(int,s,number_number_of(nat,bit0(bit1(pls)))),number_number_of(int,min)) != plus_plus(int,one_one(int),power_power(int,s,number_number_of(nat,bit0(bit1(pls)))))
| minus_minus(int,power_power(int,s,number_number_of(nat,bit0(bit1(pls)))),min) = plus_plus(int,one_one(int),power_power(int,s,number_number_of(nat,bit0(bit1(pls))))) ),
introduced(tautology,[equality,[$cnf( $equal(minus_minus(int,power_power(int,s,number_number_of(nat,bit0(bit1(pls)))),number_number_of(int,min)),plus_plus(int,one_one(int),power_power(int,s,number_number_of(nat,bit0(bit1(pls)))))) ),[0],$fot(minus_minus(int,power_power(int,s,number_number_of(nat,bit0(bit1(pls)))),min))]]) ).
cnf(refute_0_136,plain,
( minus_minus(int,power_power(int,s,number_number_of(nat,bit0(bit1(pls)))),number_number_of(int,min)) != plus_plus(int,one_one(int),power_power(int,s,number_number_of(nat,bit0(bit1(pls)))))
| minus_minus(int,power_power(int,s,number_number_of(nat,bit0(bit1(pls)))),min) = plus_plus(int,one_one(int),power_power(int,s,number_number_of(nat,bit0(bit1(pls))))) ),
inference(resolve,[$cnf( $equal(minus_minus(int,power_power(int,s,number_number_of(nat,bit0(bit1(pls)))),number_number_of(int,min)),minus_minus(int,power_power(int,s,number_number_of(nat,bit0(bit1(pls)))),min)) )],[refute_0_134,refute_0_135]) ).
cnf(refute_0_137,plain,
( minus_minus(int,power_power(int,s,number_number_of(nat,bit0(bit1(pls)))),min) != plus_plus(int,one_one(int),power_power(int,s,number_number_of(nat,bit0(bit1(pls)))))
| plus_plus(int,one_one(int),power_power(int,s,number_number_of(nat,bit0(bit1(pls))))) != plus_plus(int,bit1(pls),power_power(int,s,number_number_of(nat,bit0(bit1(pls)))))
| minus_minus(int,power_power(int,s,number_number_of(nat,bit0(bit1(pls)))),min) = plus_plus(int,bit1(pls),power_power(int,s,number_number_of(nat,bit0(bit1(pls))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(minus_minus(int,power_power(int,s,number_number_of(nat,bit0(bit1(pls)))),min),plus_plus(int,bit1(pls),power_power(int,s,number_number_of(nat,bit0(bit1(pls)))))) ),[0],$fot(plus_plus(int,one_one(int),power_power(int,s,number_number_of(nat,bit0(bit1(pls))))))]]) ).
cnf(refute_0_138,plain,
( minus_minus(int,power_power(int,s,number_number_of(nat,bit0(bit1(pls)))),min) != plus_plus(int,one_one(int),power_power(int,s,number_number_of(nat,bit0(bit1(pls)))))
| minus_minus(int,power_power(int,s,number_number_of(nat,bit0(bit1(pls)))),min) = plus_plus(int,bit1(pls),power_power(int,s,number_number_of(nat,bit0(bit1(pls))))) ),
inference(resolve,[$cnf( $equal(plus_plus(int,one_one(int),power_power(int,s,number_number_of(nat,bit0(bit1(pls))))),plus_plus(int,bit1(pls),power_power(int,s,number_number_of(nat,bit0(bit1(pls)))))) )],[refute_0_107,refute_0_137]) ).
cnf(refute_0_139,plain,
( minus_minus(int,power_power(int,s,number_number_of(nat,bit0(bit1(pls)))),number_number_of(int,min)) != plus_plus(int,one_one(int),power_power(int,s,number_number_of(nat,bit0(bit1(pls)))))
| minus_minus(int,power_power(int,s,number_number_of(nat,bit0(bit1(pls)))),min) = plus_plus(int,bit1(pls),power_power(int,s,number_number_of(nat,bit0(bit1(pls))))) ),
inference(resolve,[$cnf( $equal(minus_minus(int,power_power(int,s,number_number_of(nat,bit0(bit1(pls)))),min),plus_plus(int,one_one(int),power_power(int,s,number_number_of(nat,bit0(bit1(pls)))))) )],[refute_0_136,refute_0_138]) ).
cnf(refute_0_140,plain,
minus_minus(int,power_power(int,s,number_number_of(nat,bit0(bit1(pls)))),min) = plus_plus(int,bit1(pls),power_power(int,s,number_number_of(nat,bit0(bit1(pls))))),
inference(resolve,[$cnf( $equal(minus_minus(int,power_power(int,s,number_number_of(nat,bit0(bit1(pls)))),number_number_of(int,min)),plus_plus(int,one_one(int),power_power(int,s,number_number_of(nat,bit0(bit1(pls)))))) )],[refute_0_125,refute_0_139]) ).
cnf(refute_0_141,plain,
( minus_minus(int,power_power(int,s,number_number_of(nat,bit0(bit1(pls)))),min) != plus_plus(int,bit1(pls),power_power(int,s,number_number_of(nat,bit0(bit1(pls)))))
| plus_plus(int,bit1(pls),power_power(int,s,number_number_of(nat,bit0(bit1(pls))))) = minus_minus(int,power_power(int,s,number_number_of(nat,bit0(bit1(pls)))),min) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(minus_minus(int,power_power(int,s,number_number_of(nat,bit0(bit1(pls)))),min))),bind(Y,$fot(plus_plus(int,bit1(pls),power_power(int,s,number_number_of(nat,bit0(bit1(pls)))))))]]) ).
cnf(refute_0_142,plain,
plus_plus(int,bit1(pls),power_power(int,s,number_number_of(nat,bit0(bit1(pls))))) = minus_minus(int,power_power(int,s,number_number_of(nat,bit0(bit1(pls)))),min),
inference(resolve,[$cnf( $equal(minus_minus(int,power_power(int,s,number_number_of(nat,bit0(bit1(pls)))),min),plus_plus(int,bit1(pls),power_power(int,s,number_number_of(nat,bit0(bit1(pls)))))) )],[refute_0_140,refute_0_141]) ).
cnf(refute_0_143,plain,
( plus_plus(int,bit1(pls),power_power(int,s,number_number_of(nat,bit0(bit1(pls))))) != minus_minus(int,power_power(int,s,number_number_of(nat,bit0(bit1(pls)))),min)
| plus_plus(int,bit1(pls),power_power(int,s,number_number_of(nat,bit0(bit1(pls))))) != times_times(int,t,plus_plus(int,bit1(pls),times_times(int,m,bit0(bit0(bit1(pls))))))
| minus_minus(int,power_power(int,s,number_number_of(nat,bit0(bit1(pls)))),min) = times_times(int,t,plus_plus(int,bit1(pls),times_times(int,m,bit0(bit0(bit1(pls)))))) ),
introduced(tautology,[equality,[$cnf( $equal(plus_plus(int,bit1(pls),power_power(int,s,number_number_of(nat,bit0(bit1(pls))))),times_times(int,t,plus_plus(int,bit1(pls),times_times(int,m,bit0(bit0(bit1(pls))))))) ),[0],$fot(minus_minus(int,power_power(int,s,number_number_of(nat,bit0(bit1(pls)))),min))]]) ).
cnf(refute_0_144,plain,
( plus_plus(int,bit1(pls),power_power(int,s,number_number_of(nat,bit0(bit1(pls))))) != times_times(int,t,plus_plus(int,bit1(pls),times_times(int,m,bit0(bit0(bit1(pls))))))
| minus_minus(int,power_power(int,s,number_number_of(nat,bit0(bit1(pls)))),min) = times_times(int,t,plus_plus(int,bit1(pls),times_times(int,m,bit0(bit0(bit1(pls)))))) ),
inference(resolve,[$cnf( $equal(plus_plus(int,bit1(pls),power_power(int,s,number_number_of(nat,bit0(bit1(pls))))),minus_minus(int,power_power(int,s,number_number_of(nat,bit0(bit1(pls)))),min)) )],[refute_0_142,refute_0_143]) ).
cnf(refute_0_145,plain,
minus_minus(int,power_power(int,s,number_number_of(nat,bit0(bit1(pls)))),min) = times_times(int,t,plus_plus(int,bit1(pls),times_times(int,m,bit0(bit0(bit1(pls)))))),
inference(resolve,[$cnf( $equal(plus_plus(int,bit1(pls),power_power(int,s,number_number_of(nat,bit0(bit1(pls))))),times_times(int,t,plus_plus(int,bit1(pls),times_times(int,m,bit0(bit0(bit1(pls))))))) )],[refute_0_121,refute_0_144]) ).
cnf(refute_0_146,plain,
( minus_minus(int,power_power(int,s,number_number_of(nat,bit0(bit1(pls)))),min) != times_times(int,t,plus_plus(int,bit1(pls),times_times(int,m,bit0(bit0(bit1(pls))))))
| times_times(int,t,plus_plus(int,bit1(pls),times_times(int,m,bit0(bit0(bit1(pls)))))) = minus_minus(int,power_power(int,s,number_number_of(nat,bit0(bit1(pls)))),min) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(minus_minus(int,power_power(int,s,number_number_of(nat,bit0(bit1(pls)))),min))),bind(Y,$fot(times_times(int,t,plus_plus(int,bit1(pls),times_times(int,m,bit0(bit0(bit1(pls))))))))]]) ).
cnf(refute_0_147,plain,
times_times(int,t,plus_plus(int,bit1(pls),times_times(int,m,bit0(bit0(bit1(pls)))))) = minus_minus(int,power_power(int,s,number_number_of(nat,bit0(bit1(pls)))),min),
inference(resolve,[$cnf( $equal(minus_minus(int,power_power(int,s,number_number_of(nat,bit0(bit1(pls)))),min),times_times(int,t,plus_plus(int,bit1(pls),times_times(int,m,bit0(bit0(bit1(pls))))))) )],[refute_0_145,refute_0_146]) ).
cnf(refute_0_148,plain,
plus_plus(int,bit1(pls),times_times(int,m,number_number_of(int,bit0(bit0(bit1(pls)))))) = plus_plus(int,bit1(pls),times_times(int,m,number_number_of(int,bit0(bit0(bit1(pls)))))),
introduced(tautology,[refl,[$fot(plus_plus(int,bit1(pls),times_times(int,m,number_number_of(int,bit0(bit0(bit1(pls)))))))]]) ).
cnf(refute_0_149,plain,
( plus_plus(int,bit1(pls),times_times(int,m,number_number_of(int,bit0(bit0(bit1(pls)))))) != plus_plus(int,bit1(pls),times_times(int,m,number_number_of(int,bit0(bit0(bit1(pls))))))
| times_times(int,m,number_number_of(int,bit0(bit0(bit1(pls))))) != times_times(int,m,bit0(bit0(bit1(pls))))
| plus_plus(int,bit1(pls),times_times(int,m,number_number_of(int,bit0(bit0(bit1(pls)))))) = plus_plus(int,bit1(pls),times_times(int,m,bit0(bit0(bit1(pls))))) ),
introduced(tautology,[equality,[$cnf( $equal(plus_plus(int,bit1(pls),times_times(int,m,number_number_of(int,bit0(bit0(bit1(pls)))))),plus_plus(int,bit1(pls),times_times(int,m,number_number_of(int,bit0(bit0(bit1(pls))))))) ),[1,2],$fot(times_times(int,m,bit0(bit0(bit1(pls)))))]]) ).
cnf(refute_0_150,plain,
( times_times(int,m,number_number_of(int,bit0(bit0(bit1(pls))))) != times_times(int,m,bit0(bit0(bit1(pls))))
| plus_plus(int,bit1(pls),times_times(int,m,number_number_of(int,bit0(bit0(bit1(pls)))))) = plus_plus(int,bit1(pls),times_times(int,m,bit0(bit0(bit1(pls))))) ),
inference(resolve,[$cnf( $equal(plus_plus(int,bit1(pls),times_times(int,m,number_number_of(int,bit0(bit0(bit1(pls)))))),plus_plus(int,bit1(pls),times_times(int,m,number_number_of(int,bit0(bit0(bit1(pls))))))) )],[refute_0_148,refute_0_149]) ).
cnf(refute_0_151,plain,
plus_plus(int,bit1(pls),times_times(int,m,number_number_of(int,bit0(bit0(bit1(pls)))))) = plus_plus(int,bit1(pls),times_times(int,m,bit0(bit0(bit1(pls))))),
inference(resolve,[$cnf( $equal(times_times(int,m,number_number_of(int,bit0(bit0(bit1(pls))))),times_times(int,m,bit0(bit0(bit1(pls))))) )],[refute_0_74,refute_0_150]) ).
cnf(refute_0_152,plain,
plus_plus(int,one_one(int),times_times(int,m,number_number_of(int,bit0(bit0(bit1(pls)))))) = plus_plus(int,one_one(int),times_times(int,m,number_number_of(int,bit0(bit0(bit1(pls)))))),
introduced(tautology,[refl,[$fot(plus_plus(int,one_one(int),times_times(int,m,number_number_of(int,bit0(bit0(bit1(pls)))))))]]) ).
cnf(refute_0_153,plain,
( one_one(int) != bit1(pls)
| plus_plus(int,one_one(int),times_times(int,m,number_number_of(int,bit0(bit0(bit1(pls)))))) != plus_plus(int,one_one(int),times_times(int,m,number_number_of(int,bit0(bit0(bit1(pls))))))
| plus_plus(int,one_one(int),times_times(int,m,number_number_of(int,bit0(bit0(bit1(pls)))))) = plus_plus(int,bit1(pls),times_times(int,m,number_number_of(int,bit0(bit0(bit1(pls)))))) ),
introduced(tautology,[equality,[$cnf( $equal(plus_plus(int,one_one(int),times_times(int,m,number_number_of(int,bit0(bit0(bit1(pls)))))),plus_plus(int,one_one(int),times_times(int,m,number_number_of(int,bit0(bit0(bit1(pls))))))) ),[1,1],$fot(bit1(pls))]]) ).
cnf(refute_0_154,plain,
( one_one(int) != bit1(pls)
| plus_plus(int,one_one(int),times_times(int,m,number_number_of(int,bit0(bit0(bit1(pls)))))) = plus_plus(int,bit1(pls),times_times(int,m,number_number_of(int,bit0(bit0(bit1(pls)))))) ),
inference(resolve,[$cnf( $equal(plus_plus(int,one_one(int),times_times(int,m,number_number_of(int,bit0(bit0(bit1(pls)))))),plus_plus(int,one_one(int),times_times(int,m,number_number_of(int,bit0(bit0(bit1(pls))))))) )],[refute_0_152,refute_0_153]) ).
cnf(refute_0_155,plain,
plus_plus(int,one_one(int),times_times(int,m,number_number_of(int,bit0(bit0(bit1(pls)))))) = plus_plus(int,bit1(pls),times_times(int,m,number_number_of(int,bit0(bit0(bit1(pls)))))),
inference(resolve,[$cnf( $equal(one_one(int),bit1(pls)) )],[refute_0_103,refute_0_154]) ).
cnf(refute_0_156,plain,
( plus_plus(int,bit1(pls),times_times(int,m,number_number_of(int,bit0(bit0(bit1(pls)))))) != plus_plus(int,bit1(pls),times_times(int,m,bit0(bit0(bit1(pls)))))
| plus_plus(int,one_one(int),times_times(int,m,number_number_of(int,bit0(bit0(bit1(pls)))))) != plus_plus(int,bit1(pls),times_times(int,m,number_number_of(int,bit0(bit0(bit1(pls))))))
| plus_plus(int,one_one(int),times_times(int,m,number_number_of(int,bit0(bit0(bit1(pls)))))) = plus_plus(int,bit1(pls),times_times(int,m,bit0(bit0(bit1(pls))))) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(plus_plus(int,one_one(int),times_times(int,m,number_number_of(int,bit0(bit0(bit1(pls)))))))),bind(Y,$fot(plus_plus(int,bit1(pls),times_times(int,m,number_number_of(int,bit0(bit0(bit1(pls)))))))),bind(Z0,$fot(plus_plus(int,bit1(pls),times_times(int,m,bit0(bit0(bit1(pls)))))))]]) ).
cnf(refute_0_157,plain,
( plus_plus(int,bit1(pls),times_times(int,m,number_number_of(int,bit0(bit0(bit1(pls)))))) != plus_plus(int,bit1(pls),times_times(int,m,bit0(bit0(bit1(pls)))))
| plus_plus(int,one_one(int),times_times(int,m,number_number_of(int,bit0(bit0(bit1(pls)))))) = plus_plus(int,bit1(pls),times_times(int,m,bit0(bit0(bit1(pls))))) ),
inference(resolve,[$cnf( $equal(plus_plus(int,one_one(int),times_times(int,m,number_number_of(int,bit0(bit0(bit1(pls)))))),plus_plus(int,bit1(pls),times_times(int,m,number_number_of(int,bit0(bit0(bit1(pls))))))) )],[refute_0_155,refute_0_156]) ).
cnf(refute_0_158,plain,
plus_plus(int,one_one(int),times_times(int,m,number_number_of(int,bit0(bit0(bit1(pls)))))) = plus_plus(int,bit1(pls),times_times(int,m,bit0(bit0(bit1(pls))))),
inference(resolve,[$cnf( $equal(plus_plus(int,bit1(pls),times_times(int,m,number_number_of(int,bit0(bit0(bit1(pls)))))),plus_plus(int,bit1(pls),times_times(int,m,bit0(bit0(bit1(pls)))))) )],[refute_0_151,refute_0_157]) ).
cnf(refute_0_159,plain,
times_times(int,t,plus_plus(int,one_one(int),times_times(int,m,number_number_of(int,bit0(bit0(bit1(pls))))))) = times_times(int,t,plus_plus(int,one_one(int),times_times(int,m,number_number_of(int,bit0(bit0(bit1(pls))))))),
introduced(tautology,[refl,[$fot(times_times(int,t,plus_plus(int,one_one(int),times_times(int,m,number_number_of(int,bit0(bit0(bit1(pls))))))))]]) ).
cnf(refute_0_160,plain,
( plus_plus(int,one_one(int),times_times(int,m,number_number_of(int,bit0(bit0(bit1(pls)))))) != plus_plus(int,bit1(pls),times_times(int,m,bit0(bit0(bit1(pls)))))
| times_times(int,t,plus_plus(int,one_one(int),times_times(int,m,number_number_of(int,bit0(bit0(bit1(pls))))))) != times_times(int,t,plus_plus(int,one_one(int),times_times(int,m,number_number_of(int,bit0(bit0(bit1(pls)))))))
| times_times(int,t,plus_plus(int,one_one(int),times_times(int,m,number_number_of(int,bit0(bit0(bit1(pls))))))) = times_times(int,t,plus_plus(int,bit1(pls),times_times(int,m,bit0(bit0(bit1(pls)))))) ),
introduced(tautology,[equality,[$cnf( $equal(times_times(int,t,plus_plus(int,one_one(int),times_times(int,m,number_number_of(int,bit0(bit0(bit1(pls))))))),times_times(int,t,plus_plus(int,one_one(int),times_times(int,m,number_number_of(int,bit0(bit0(bit1(pls)))))))) ),[1,2],$fot(plus_plus(int,bit1(pls),times_times(int,m,bit0(bit0(bit1(pls))))))]]) ).
cnf(refute_0_161,plain,
( plus_plus(int,one_one(int),times_times(int,m,number_number_of(int,bit0(bit0(bit1(pls)))))) != plus_plus(int,bit1(pls),times_times(int,m,bit0(bit0(bit1(pls)))))
| times_times(int,t,plus_plus(int,one_one(int),times_times(int,m,number_number_of(int,bit0(bit0(bit1(pls))))))) = times_times(int,t,plus_plus(int,bit1(pls),times_times(int,m,bit0(bit0(bit1(pls)))))) ),
inference(resolve,[$cnf( $equal(times_times(int,t,plus_plus(int,one_one(int),times_times(int,m,number_number_of(int,bit0(bit0(bit1(pls))))))),times_times(int,t,plus_plus(int,one_one(int),times_times(int,m,number_number_of(int,bit0(bit0(bit1(pls)))))))) )],[refute_0_159,refute_0_160]) ).
cnf(refute_0_162,plain,
times_times(int,t,plus_plus(int,one_one(int),times_times(int,m,number_number_of(int,bit0(bit0(bit1(pls))))))) = times_times(int,t,plus_plus(int,bit1(pls),times_times(int,m,bit0(bit0(bit1(pls)))))),
inference(resolve,[$cnf( $equal(plus_plus(int,one_one(int),times_times(int,m,number_number_of(int,bit0(bit0(bit1(pls)))))),plus_plus(int,bit1(pls),times_times(int,m,bit0(bit0(bit1(pls)))))) )],[refute_0_158,refute_0_161]) ).
cnf(refute_0_163,plain,
( times_times(int,t,plus_plus(int,bit1(pls),times_times(int,m,bit0(bit0(bit1(pls)))))) != minus_minus(int,power_power(int,s,number_number_of(nat,bit0(bit1(pls)))),min)
| times_times(int,t,plus_plus(int,one_one(int),times_times(int,m,number_number_of(int,bit0(bit0(bit1(pls))))))) != times_times(int,t,plus_plus(int,bit1(pls),times_times(int,m,bit0(bit0(bit1(pls))))))
| times_times(int,t,plus_plus(int,one_one(int),times_times(int,m,number_number_of(int,bit0(bit0(bit1(pls))))))) = minus_minus(int,power_power(int,s,number_number_of(nat,bit0(bit1(pls)))),min) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(times_times(int,t,plus_plus(int,one_one(int),times_times(int,m,number_number_of(int,bit0(bit0(bit1(pls))))))))),bind(Y,$fot(times_times(int,t,plus_plus(int,bit1(pls),times_times(int,m,bit0(bit0(bit1(pls)))))))),bind(Z0,$fot(minus_minus(int,power_power(int,s,number_number_of(nat,bit0(bit1(pls)))),min)))]]) ).
cnf(refute_0_164,plain,
( times_times(int,t,plus_plus(int,bit1(pls),times_times(int,m,bit0(bit0(bit1(pls)))))) != minus_minus(int,power_power(int,s,number_number_of(nat,bit0(bit1(pls)))),min)
| times_times(int,t,plus_plus(int,one_one(int),times_times(int,m,number_number_of(int,bit0(bit0(bit1(pls))))))) = minus_minus(int,power_power(int,s,number_number_of(nat,bit0(bit1(pls)))),min) ),
inference(resolve,[$cnf( $equal(times_times(int,t,plus_plus(int,one_one(int),times_times(int,m,number_number_of(int,bit0(bit0(bit1(pls))))))),times_times(int,t,plus_plus(int,bit1(pls),times_times(int,m,bit0(bit0(bit1(pls))))))) )],[refute_0_162,refute_0_163]) ).
cnf(refute_0_165,plain,
times_times(int,t,plus_plus(int,one_one(int),times_times(int,m,number_number_of(int,bit0(bit0(bit1(pls))))))) = minus_minus(int,power_power(int,s,number_number_of(nat,bit0(bit1(pls)))),min),
inference(resolve,[$cnf( $equal(times_times(int,t,plus_plus(int,bit1(pls),times_times(int,m,bit0(bit0(bit1(pls)))))),minus_minus(int,power_power(int,s,number_number_of(nat,bit0(bit1(pls)))),min)) )],[refute_0_147,refute_0_164]) ).
cnf(refute_0_166,plain,
( times_times(int,t,plus_plus(int,one_one(int),times_times(int,m,number_number_of(int,bit0(bit0(bit1(pls))))))) != minus_minus(int,power_power(int,s,number_number_of(nat,bit0(bit1(pls)))),min)
| ~ ord_less(int,times_times(int,t,plus_plus(int,one_one(int),times_times(int,m,number_number_of(int,bit0(bit0(bit1(pls))))))),pls)
| ord_less(int,minus_minus(int,power_power(int,s,number_number_of(nat,bit0(bit1(pls)))),min),pls) ),
introduced(tautology,[equality,[$cnf( ord_less(int,times_times(int,t,plus_plus(int,one_one(int),times_times(int,m,number_number_of(int,bit0(bit0(bit1(pls))))))),pls) ),[1],$fot(minus_minus(int,power_power(int,s,number_number_of(nat,bit0(bit1(pls)))),min))]]) ).
cnf(refute_0_167,plain,
( ~ ord_less(int,times_times(int,t,plus_plus(int,one_one(int),times_times(int,m,number_number_of(int,bit0(bit0(bit1(pls))))))),pls)
| ord_less(int,minus_minus(int,power_power(int,s,number_number_of(nat,bit0(bit1(pls)))),min),pls) ),
inference(resolve,[$cnf( $equal(times_times(int,t,plus_plus(int,one_one(int),times_times(int,m,number_number_of(int,bit0(bit0(bit1(pls))))))),minus_minus(int,power_power(int,s,number_number_of(nat,bit0(bit1(pls)))),min)) )],[refute_0_165,refute_0_166]) ).
cnf(refute_0_168,plain,
ord_less(int,minus_minus(int,power_power(int,s,number_number_of(nat,bit0(bit1(pls)))),min),pls),
inference(resolve,[$cnf( ord_less(int,times_times(int,t,plus_plus(int,one_one(int),times_times(int,m,number_number_of(int,bit0(bit0(bit1(pls))))))),pls) )],[refute_0_57,refute_0_167]) ).
cnf(refute_0_169,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_18]) ).
cnf(refute_0_170,plain,
( plus_plus(int,bit1(pls),power_power(int,s,number_number_of(nat,bit0(bit1(pls))))) != minus_minus(int,power_power(int,s,number_number_of(nat,bit0(bit1(pls)))),min)
| plus_plus(int,one_one(int),power_power(int,s,number_number_of(nat,bit0(bit1(pls))))) != plus_plus(int,bit1(pls),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))))) = minus_minus(int,power_power(int,s,number_number_of(nat,bit0(bit1(pls)))),min) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(plus_plus(int,one_one(int),power_power(int,s,number_number_of(nat,bit0(bit1(pls))))))),bind(Y,$fot(plus_plus(int,bit1(pls),power_power(int,s,number_number_of(nat,bit0(bit1(pls))))))),bind(Z0,$fot(minus_minus(int,power_power(int,s,number_number_of(nat,bit0(bit1(pls)))),min)))]]) ).
cnf(refute_0_171,plain,
( plus_plus(int,bit1(pls),power_power(int,s,number_number_of(nat,bit0(bit1(pls))))) != minus_minus(int,power_power(int,s,number_number_of(nat,bit0(bit1(pls)))),min)
| plus_plus(int,one_one(int),power_power(int,s,number_number_of(nat,bit0(bit1(pls))))) = minus_minus(int,power_power(int,s,number_number_of(nat,bit0(bit1(pls)))),min) ),
inference(resolve,[$cnf( $equal(plus_plus(int,one_one(int),power_power(int,s,number_number_of(nat,bit0(bit1(pls))))),plus_plus(int,bit1(pls),power_power(int,s,number_number_of(nat,bit0(bit1(pls)))))) )],[refute_0_107,refute_0_170]) ).
cnf(refute_0_172,plain,
plus_plus(int,one_one(int),power_power(int,s,number_number_of(nat,bit0(bit1(pls))))) = minus_minus(int,power_power(int,s,number_number_of(nat,bit0(bit1(pls)))),min),
inference(resolve,[$cnf( $equal(plus_plus(int,bit1(pls),power_power(int,s,number_number_of(nat,bit0(bit1(pls))))),minus_minus(int,power_power(int,s,number_number_of(nat,bit0(bit1(pls)))),min)) )],[refute_0_142,refute_0_171]) ).
cnf(refute_0_173,plain,
( plus_plus(int,one_one(int),power_power(int,s,number_number_of(nat,bit0(bit1(pls))))) != minus_minus(int,power_power(int,s,number_number_of(nat,bit0(bit1(pls)))),min)
| plus_plus(int,power_power(int,s,number_number_of(nat,bit0(bit1(pls)))),one_one(int)) != plus_plus(int,one_one(int),power_power(int,s,number_number_of(nat,bit0(bit1(pls)))))
| plus_plus(int,power_power(int,s,number_number_of(nat,bit0(bit1(pls)))),one_one(int)) = minus_minus(int,power_power(int,s,number_number_of(nat,bit0(bit1(pls)))),min) ),
inference(subst,[],[refute_0_17:[bind(X,$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(minus_minus(int,power_power(int,s,number_number_of(nat,bit0(bit1(pls)))),min)))]]) ).
cnf(refute_0_174,plain,
( plus_plus(int,one_one(int),power_power(int,s,number_number_of(nat,bit0(bit1(pls))))) != minus_minus(int,power_power(int,s,number_number_of(nat,bit0(bit1(pls)))),min)
| plus_plus(int,power_power(int,s,number_number_of(nat,bit0(bit1(pls)))),one_one(int)) = minus_minus(int,power_power(int,s,number_number_of(nat,bit0(bit1(pls)))),min) ),
inference(resolve,[$cnf( $equal(plus_plus(int,power_power(int,s,number_number_of(nat,bit0(bit1(pls)))),one_one(int)),plus_plus(int,one_one(int),power_power(int,s,number_number_of(nat,bit0(bit1(pls)))))) )],[refute_0_59,refute_0_173]) ).
cnf(refute_0_175,plain,
plus_plus(int,power_power(int,s,number_number_of(nat,bit0(bit1(pls)))),one_one(int)) = minus_minus(int,power_power(int,s,number_number_of(nat,bit0(bit1(pls)))),min),
inference(resolve,[$cnf( $equal(plus_plus(int,one_one(int),power_power(int,s,number_number_of(nat,bit0(bit1(pls))))),minus_minus(int,power_power(int,s,number_number_of(nat,bit0(bit1(pls)))),min)) )],[refute_0_172,refute_0_174]) ).
cnf(refute_0_176,plain,
( plus_plus(int,power_power(int,s,number_number_of(nat,bit0(bit1(pls)))),one_one(int)) != minus_minus(int,power_power(int,s,number_number_of(nat,bit0(bit1(pls)))),min)
| ~ ord_less(int,minus_minus(int,power_power(int,s,number_number_of(nat,bit0(bit1(pls)))),min),zero_zero(int))
| ord_less(int,plus_plus(int,power_power(int,s,number_number_of(nat,bit0(bit1(pls)))),one_one(int)),zero_zero(int)) ),
introduced(tautology,[equality,[$cnf( ~ ord_less(int,plus_plus(int,power_power(int,s,number_number_of(nat,bit0(bit1(pls)))),one_one(int)),zero_zero(int)) ),[1],$fot(minus_minus(int,power_power(int,s,number_number_of(nat,bit0(bit1(pls)))),min))]]) ).
cnf(refute_0_177,plain,
( ~ ord_less(int,minus_minus(int,power_power(int,s,number_number_of(nat,bit0(bit1(pls)))),min),zero_zero(int))
| ord_less(int,plus_plus(int,power_power(int,s,number_number_of(nat,bit0(bit1(pls)))),one_one(int)),zero_zero(int)) ),
inference(resolve,[$cnf( $equal(plus_plus(int,power_power(int,s,number_number_of(nat,bit0(bit1(pls)))),one_one(int)),minus_minus(int,power_power(int,s,number_number_of(nat,bit0(bit1(pls)))),min)) )],[refute_0_175,refute_0_176]) ).
cnf(refute_0_178,plain,
( zero_zero(int) != pls
| ~ ord_less(int,minus_minus(int,power_power(int,s,number_number_of(nat,bit0(bit1(pls)))),min),pls)
| ord_less(int,minus_minus(int,power_power(int,s,number_number_of(nat,bit0(bit1(pls)))),min),zero_zero(int)) ),
introduced(tautology,[equality,[$cnf( ~ ord_less(int,minus_minus(int,power_power(int,s,number_number_of(nat,bit0(bit1(pls)))),min),zero_zero(int)) ),[2],$fot(pls)]]) ).
cnf(refute_0_179,plain,
( ~ ord_less(int,minus_minus(int,power_power(int,s,number_number_of(nat,bit0(bit1(pls)))),min),pls)
| ord_less(int,minus_minus(int,power_power(int,s,number_number_of(nat,bit0(bit1(pls)))),min),zero_zero(int)) ),
inference(resolve,[$cnf( $equal(zero_zero(int),pls) )],[refute_0_39,refute_0_178]) ).
cnf(refute_0_180,plain,
( ~ ord_less(int,minus_minus(int,power_power(int,s,number_number_of(nat,bit0(bit1(pls)))),min),pls)
| ord_less(int,plus_plus(int,power_power(int,s,number_number_of(nat,bit0(bit1(pls)))),one_one(int)),zero_zero(int)) ),
inference(resolve,[$cnf( ord_less(int,minus_minus(int,power_power(int,s,number_number_of(nat,bit0(bit1(pls)))),min),zero_zero(int)) )],[refute_0_179,refute_0_177]) ).
cnf(refute_0_181,plain,
~ ord_less(int,minus_minus(int,power_power(int,s,number_number_of(nat,bit0(bit1(pls)))),min),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_180,refute_0_169]) ).
cnf(refute_0_182,plain,
$false,
inference(resolve,[$cnf( ord_less(int,minus_minus(int,power_power(int,s,number_number_of(nat,bit0(bit1(pls)))),min),pls) )],[refute_0_168,refute_0_181]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : NUM924+6 : TPTP v8.1.0. Released v5.3.0.
% 0.12/0.13 % Command : metis --show proof --show saturation %s
% 0.13/0.34 % Computer : n021.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Tue Jul 5 21:24:48 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.35 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.85/1.08 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.85/1.08
% 0.85/1.08 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.92/1.11
%------------------------------------------------------------------------------